Subgroups — #28292114

Order 13568.

7998 conjugacy classes of subgroups.

The subgroup lattice has 2778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288763	C₂	1	1	yes	maximal, characteristic, complemented
2	#20288761	C₂	1	2	yes	maximal, complemented
3	#20288755	C₂	1	1	yes	maximal, characteristic, complemented
4	#20288750	C₂	1	1	yes	maximal, characteristic, complemented
5	#20288748	C₂	1	1	yes	maximal, characteristic, complemented
6	#20288740	C₂	1	2	yes	maximal, complemented
7	#20288660	C₂	1	2	yes	maximal, complemented
8	#20288656	C₂	1	2	yes	maximal, complemented
9	#20288642	C₂	1	4	yes	maximal, complemented
10	#20288568	C₂	1	1	yes	maximal, characteristic, complemented
11	#20288557	C₂	1	1	yes	maximal, characteristic, complemented
12	#20288555	C₂	1	2	yes	maximal, complemented
13	#20288544	C₂	1	2	yes	maximal, complemented
14	#20288512	C₂	1	1	yes	maximal, characteristic, complemented
15	#20288473	C₂	1	1	yes	maximal, characteristic, complemented
16	#20288415	C₂	1	2	yes	maximal, complemented
17	#20288399	C₂	1	4	yes	maximal, complemented
18	#20288345	C₂	1	2	yes	maximal, complemented
19	#20288325	C₂	1	2	yes	maximal, complemented
20	#20288321	C₂	1	4	yes	maximal, complemented
21	#20288321	C₂	1	2	yes	maximal, complemented
22	#20288282	C₂	1	1	yes	maximal, characteristic, complemented
23	#20288269	C₂	1	2	yes	maximal, complemented
24	#41×D₂₁₂	C₂	1	1	yes	maximal, characteristic, complemented
25	D₄×#11719945	C₂	1	1	yes	maximal, characteristic, complemented
26	#20288198	C₂	1	2	yes	maximal, complemented
27	#20288136	C₂	1	2	yes	maximal, complemented
28	#20288125	C₂	1	4	yes	maximal, complemented
29	#20288012	C₂	1	1	yes	maximal, characteristic, complemented
30	#20288008	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#16811135	C₂	1	2	yes	maximal, complemented
32	#525×D₅₃	C₂	1	2	yes	maximal, complemented
33	C₄×#13133263	C₂	1	2	yes	maximal, complemented
34	C₂×C₄×D₄×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
35	C₅₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂×#13133263	C₂²	1	2	yes	—
37	C₂²×#11719945	C₂²	1	2	yes	complemented
38	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
39	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
40	C₂³×C₄×D₅₃	C₂²	1	2	yes	complemented
41	#16811358	C₂²	1	2	yes	complemented
42	#16811355	C₂²	1	2	yes	complemented
43	#16811355	C₂²	1	4	yes	complemented
44	#16811347	C₂²	1	1	yes	characteristic, complemented
45	#16811341	C₂²	1	2	yes	complemented
46	#16811339	C₂²	1	1	yes	characteristic, complemented
47	#16811336	C₂²	1	2	yes	complemented
48	#16811334	C₂²	1	1	yes	characteristic, complemented
49	#16811333	C₂²	1	2	yes	complemented
50	#16811331	C₂²	1	2	yes	complemented
51	#16811331	C₂²	1	4	yes	complemented
52	#16811330	C₂²	1	2	yes	complemented
53	#16811329	C₂²	1	4	yes	complemented
54	#16811329	C₂²	1	2	yes	complemented
55	#16811328	C₂²	1	2	yes	complemented
56	#16811326	C₂²	1	2	yes	complemented
57	#16811326	C₂²	1	4	yes	complemented
58	#16811326	C₂²	1	2	yes	complemented
59	#16811325	C₂²	1	2	yes	complemented
60	#16811325	C₂²	1	4	yes	complemented
61	#16811324	C₂²	1	4	yes	complemented
62	#16811324	C₂²	1	4	yes	complemented
63	#16811324	C₂²	1	4	yes	complemented
64	#16811321	C₂²	1	2	yes	complemented
65	#16811319	C₂²	1	4	yes	complemented
66	#16811317	C₂²	1	2	yes	complemented
67	#16811317	C₂²	1	2	yes	complemented
68	#16811317	C₂²	1	2	yes	complemented
69	#16811315	C₂²	1	2	yes	complemented
70	#16811312	C₂²	1	2	yes	complemented
71	#16811311	C₂²	1	2	yes	complemented
72	#16811308	C₂²	1	2	yes	complemented
73	#16811306	C₂²	1	4	yes	complemented
74	#16811300	C₂²	1	4	yes	complemented
75	#16811299	C₂²	1	4	yes	complemented
76	#16811298	C₂²	1	4	yes	complemented
77	#16811298	C₂²	1	4	yes	complemented
78	#16811298	C₂²	1	4	yes	complemented
79	#16811297	C₂²	1	4	yes	complemented
80	#16811297	C₂²	1	4	yes	complemented
81	#16811297	C₂²	1	4	yes	complemented
82	#16811296	C₂²	1	4	yes	complemented
83	#16811296	C₂²	1	4	yes	complemented
84	#16811296	C₂²	1	4	yes	complemented
85	#16811295	C₂²	1	1	yes	characteristic, complemented
86	#16811294	C₂²	1	1	yes	characteristic, complemented
87	#16811291	C₂²	1	2	yes	complemented
88	Q₈×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
89	D₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
90	#16811286	C₂²	1	2	yes	complemented
91	#16811285	C₂²	1	2	yes	complemented
92	#16811283	C₂²	1	2	yes	complemented
93	#16811282	C₂²	1	2	yes	complemented
94	#16811279	C₂²	1	2	yes	complemented
95	#16811278	C₂²	1	1	yes	characteristic, complemented
96	#16811277	C₂²	1	2	yes	complemented
97	#16811277	C₂²	1	1	yes	characteristic, complemented
98	#16811276	C₂²	1	1	yes	characteristic, complemented
99	#16811275	C₂²	1	2	yes	complemented
100	#16811274	C₂²	1	2	yes	complemented
101	#16811274	C₂²	1	2	yes	complemented
102	#16811271	C₂²	1	4	yes	complemented
103	#16811270	C₂²	1	2	yes	complemented
104	#16811269	C₂²	1	2	yes	complemented
105	#16811269	C₂²	1	4	yes	complemented
106	#16811268	C₂²	1	4	yes	complemented
107	#16811268	C₂²	1	2	yes	complemented
108	#16811266	C₂²	1	2	yes	complemented
109	#16811266	C₂²	1	4	yes	complemented
110	#16811265	C₂²	1	4	yes	complemented
111	#16811265	C₂²	1	4	yes	complemented
112	#16811265	C₂²	1	4	yes	complemented
113	#16811265	C₂²	1	4	yes	complemented
114	#16811264	C₂²	1	2	yes	complemented
115	#16811264	C₂²	1	4	yes	complemented
116	#16811264	C₂²	1	2	yes	complemented
117	#16811264	C₂²	1	2	yes	complemented
118	#16811263	C₂²	1	4	yes	complemented
119	#16811263	C₂²	1	4	yes	complemented
120	#16811261	C₂²	1	2	yes	complemented
121	#16811261	C₂²	1	2	yes	complemented
122	#16811260	C₂²	1	4	yes	complemented
123	D₄×D₂₁₂	C₂²	1	2	yes	complemented
124	D₄×D₂₁₂	C₂²	1	2	yes	complemented
125	D₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
126	D₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
127	#16811257	C₂²	1	4	yes	complemented
128	#16811257	C₂²	1	2	yes	complemented
129	#16811257	C₂²	1	2	yes	complemented
130	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
131	#16811255	C₂²	1	4	yes	complemented
132	#16811253	C₂²	1	2	yes	complemented
133	#16811248	C₂²	1	4	yes	complemented
134	#16811246	C₂²	1	2	yes	complemented
135	#16811242	C₂²	1	2	yes	complemented
136	#16811239	C₂²	1	4	yes	complemented
137	#16811229	C₂²	1	2	yes	complemented
138	#16811226	C₂²	1	2	yes	complemented
139	#16811225	C₂²	1	4	yes	complemented
140	#16811221	C₂²	1	4	yes	complemented
141	#16811221	C₂²	1	4	yes	complemented
142	#16811217	C₂²	1	4	yes	complemented
143	#16811217	C₂²	1	4	yes	complemented
144	#16811214	C₂²	1	4	yes	complemented
145	#16811214	C₂²	1	4	yes	complemented
146	#16811213	C₂²	1	4	yes	complemented
147	#16811212	C₂²	1	4	yes	complemented
148	#16811212	C₂²	1	4	yes	complemented
149	#16811212	C₂²	1	4	yes	complemented
150	#16811210	C₂²	1	4	yes	complemented
151	#16811209	C₂²	1	4	yes	complemented
152	#16811207	C₂²	1	4	yes	complemented
153	#16811207	C₂²	1	4	yes	complemented
154	#16811203	C₂²	1	2	yes	complemented
155	#16811191	C₂²	1	2	yes	complemented
156	#16811189	C₂²	1	2	yes	complemented
157	#16811184	C₂²	1	4	yes	complemented
158	#16811184	C₂²	1	4	yes	complemented
159	#16811181	C₂²	1	4	yes	complemented
160	#16811178	C₂²	1	1	yes	characteristic, complemented
161	#16811178	C₂²	1	1	yes	characteristic, complemented
162	#16811177	C₂²	1	1	yes	characteristic, complemented
163	#16811177	C₂²	1	1	yes	characteristic, complemented
164	#16811176	C₂²	1	1	yes	characteristic, complemented
165	#16811174	C₂²	1	1	yes	characteristic, complemented
166	#16811174	C₂²	1	1	yes	characteristic, complemented
167	#16811173	C₂²	1	1	yes	characteristic, complemented
168	#16811173	C₂²	1	2	yes	complemented
169	#16811170	C₂²	1	2	yes	complemented
170	#16811170	C₂²	1	1	yes	characteristic, complemented
171	#16811170	C₂²	1	1	yes	characteristic, complemented
172	#16811170	C₂²	1	4	yes	complemented
173	#16811169	C₂²	1	1	yes	characteristic, complemented
174	#16811160	C₂²	1	1	yes	characteristic, complemented
175	#16811160	C₂²	1	1	yes	characteristic, complemented
176	#16811160	C₂²	1	2	yes	complemented
177	#16811160	C₂²	1	2	yes	complemented
178	#16811160	C₂²	1	4	yes	complemented
179	#16811160	C₂²	1	2	yes	complemented
180	#16811159	C₂²	1	2	yes	complemented
181	#16811159	C₂²	1	2	yes	complemented
182	#16811158	C₂²	1	2	yes	complemented
183	#16811158	C₂²	1	2	yes	complemented
184	#16811157	C₂²	1	4	yes	complemented
185	#16811155	C₂²	1	1	yes	characteristic, complemented
186	#16811155	C₂²	1	1	yes	characteristic, complemented
187	#16811153	C₂²	1	2	yes	complemented
188	#16811153	C₂²	1	2	yes	complemented
189	#16811151	C₂²	1	2	yes	complemented
190	#16811151	C₂²	1	2	yes	complemented
191	#16811151	C₂²	1	4	yes	complemented
192	#16811151	C₂²	1	4	yes	complemented
193	#16811136	C₂²	1	2	yes	complemented
194	#16811136	C₂²	1	2	yes	complemented
195	#16811136	C₂²	1	2	yes	complemented
196	#16811136	C₂²	1	2	yes	complemented
197	#16811135	C₂²	1	1	yes	characteristic, complemented
198	#16811135	C₂²	1	2	yes	complemented
199	#16811135	C₂²	1	4	yes	complemented
200	#16811135	C₂²	1	2	yes	complemented
201	#16811135	C₂²	1	2	yes	complemented
202	#16811135	C₂²	1	4	yes	complemented
203	#16811135	C₂²	1	2	yes	complemented
204	#16811135	C₂²	1	2	yes	complemented
205	#16811135	C₂²	1	4	yes	complemented
206	#16811135	C₂²	1	4	yes	complemented
207	#16811135	C₂²	1	2	yes	complemented
208	#16811135	C₂²	1	2	yes	complemented
209	#16811135	C₂²	1	4	yes	complemented
210	#16811134	C₂²	1	2	yes	complemented
211	#16811133	C₂²	1	2	yes	complemented
212	#16811133	C₂²	1	2	yes	complemented
213	#16811132	C₂²	1	2	yes	complemented
214	#16811132	C₂²	1	2	yes	complemented
215	#16811132	C₂²	1	4	yes	complemented
216	#16811132	C₂²	1	4	yes	complemented
217	#16811132	C₂²	1	4	yes	complemented
218	#16811132	C₂²	1	4	yes	complemented
219	#16811132	C₂²	1	4	yes	complemented
220	#16811131	C₂²	1	4	yes	complemented
221	#16811130	C₂²	1	1	yes	characteristic, complemented
222	#16811129	C₂²	1	4	yes	complemented
223	C₂×#13133201	C₂²	1	4	yes	complemented
224	#123×D₅₃	C₂²	1	4	yes	complemented
225	C₂×#13133197	C₂²	1	2	yes	complemented
226	C₂×#13133197	C₂²	1	2	yes	complemented
227	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
228	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
229	C₂×#13133192	C₂²	1	2	yes	complemented
230	C₂×#13133192	C₂²	1	2	yes	complemented
231	#121×D₅₃	C₂²	1	2	yes	complemented
232	#121×D₅₃	C₂²	1	2	yes	complemented
233	C₂×#13133187	C₂²	1	4	yes	complemented
234	#120×D₅₃	C₂²	1	4	yes	complemented
235	#16811106	C₂²	1	2	yes	complemented
236	#16811105	C₂²	1	2	yes	complemented
237	#16811105	C₂²	1	2	yes	complemented
238	#16811103	C₂²	1	2	yes	complemented
239	#16811103	C₂²	1	4	yes	complemented
240	#16811097	C₂²	1	4	yes	complemented
241	#16811097	C₂²	1	2	yes	complemented
242	#16811095	C₂²	1	2	yes	—
243	#16811095	C₂²	1	2	yes	complemented
244	#16811095	C₂²	1	4	yes	complemented
245	#16811095	C₂²	1	4	yes	complemented
246	C₄×#11719949	C₂²	1	2	yes	complemented
247	C₄×#11719949	C₂²	1	2	yes	complemented
248	C₄×#11719949	C₂²	1	2	yes	complemented
249	C₄×#11719945	C₂²	1	1	yes	characteristic, complemented
250	C₄×#11719945	C₂²	1	2	yes	complemented
251	C₄×#11719945	C₂²	1	2	yes	complemented
252	C₄×#11719945	C₂²	1	4	yes	complemented
253	#16811091	C₂²	1	2	yes	complemented
254	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
255	C₂×C₄×D₂₁₂	C₂²	1	4	yes	complemented
256	C₂×C₄×D₂₁₂	C₂²	1	4	yes	complemented
257	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
258	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
259	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
260	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
261	C₂×#13133177	C₂²	1	2	yes	complemented
262	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
263	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
264	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
265	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
266	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
267	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
268	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
269	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
270	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
271	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
272	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
273	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
274	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
275	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
276	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
277	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
278	#117×D₅₃	C₂²	1	2	yes	complemented
279	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
280	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
281	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
282	C₅₃×#556	C₂²	1	1	yes	characteristic, complemented
283	C₅₃×#555	C₂²	1	1	yes	characteristic, complemented
284	C₅₃×#554	C₂²	1	1	yes	characteristic, complemented
285	C₅₃×#553	C₂²	1	2	yes	complemented
286	C₅₃×#552	C₂²	1	2	yes	complemented
287	C₅₃×#552	C₂²	1	2	yes	complemented
288	C₅₃×#551	C₂²	1	4	yes	complemented
289	C₅₃×#547	C₂²	1	1	yes	characteristic, complemented
290	C₅₃×#546	C₂²	1	2	yes	complemented
291	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
292	C₅₃×#529	C₂²	1	4	yes	complemented
293	C₅₃×#529	C₂²	1	2	yes	complemented
294	C₅₃×#525	C₂²	1	2	yes	complemented
295	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
296	C₄×#41×C₅₃	C₂²	1	2	yes	complemented
297	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
298	C₂×#117×C₅₃	C₂²	1	2	yes	complemented
299	C₂⁴×D₅₃	C₂³	1	2	yes	—
300	#13133263	—	2	16	no	—
301	C₂×#11719949	C₂³	1	2	yes	—
302	C₂×#11719949	C₂³	1	2	yes	—
303	C₂×#11719949	C₂³	1	2	yes	—
304	C₂×#11719949	C₂³	1	2	yes	complemented
305	C₂×#11719945	—	4	8	no	—
306	C₂×#11719945	C₂³	1	4	yes	—
307	C₂×#11719945	C₂³	1	2	yes	—
308	C₂×#11719945	C₂³	1	2	yes	—
309	C₂×#11719945	C₂³	1	1	yes	characteristic
310	C₂×#11719945	C₂³	1	2	yes	—
311	C₂×#11719945	C₂³	1	4	yes	—
312	C₂×#11719945	C₂³	1	2	yes	complemented
313	C₂×#11719945	C₂³	1	2	yes	complemented
314	C₂×#11719945	C₂³	1	4	yes	complemented
315	C₂×#11719945	C₂³	1	4	yes	complemented
316	C₂×#11719947	C₂³	1	4	yes	—
317	C₂×#11719947	C₂³	1	2	yes	complemented
318	#41×D₅₃	—	4	8	no	—
319	C₂²×Dic₁₀₆	C₂³	1	2	yes	complemented
320	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
321	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
322	C₂²×D₂₁₂	C₂³	1	2	yes	—
323	C₂²×D₂₁₂	C₂³	1	4	yes	—
324	C₂²×D₂₁₂	C₂³	1	4	yes	—
325	C₂²×D₂₁₂	C₂³	1	2	yes	complemented
326	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
327	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
328	C₂×D₄×D₅₃	—	2	8	no	—
329	C₂×D₄×D₅₃	C₂³	1	2	yes	—
330	C₂×D₄×D₅₃	C₂³	1	4	yes	—
331	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
332	C₂×D₄×D₅₃	C₂³	1	2	yes	—
333	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
334	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
335	C₂×D₄×D₅₃	C₂³	1	4	yes	—
336	C₂×D₄×D₅₃	C₂³	1	2	yes	—
337	C₂×D₄×D₅₃	C₂³	1	4	yes	—
338	C₂×D₄×D₅₃	C₂³	1	4	yes	—
339	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
340	C₂×D₄×D₅₃	C₂³	1	2	yes	complemented
341	C₂³×Dic₅₃	C₂³	1	2	yes	—
342	C₂²×C₄×D₅₃	—	4	8	no	—
343	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
344	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
345	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
346	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
347	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
348	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
349	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
350	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
351	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
352	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
353	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
354	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
355	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
356	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
357	C₂²×C₄×D₅₃	C₂³	1	4	yes	complemented
358	C₂²×C₄×D₅₃	C₂³	1	4	yes	complemented
359	#13133217	C₂³	1	1	yes	characteristic, complemented
360	#13133217	C₂³	1	2	yes	complemented
361	#13133216	C₂³	1	4	yes	complemented
362	#13133216	C₂³	1	1	yes	characteristic, complemented
363	#13133216	C₂³	1	2	yes	complemented
364	#13133216	C₂³	1	1	yes	characteristic, complemented
365	#13133215	C₂³	1	1	yes	characteristic, complemented
366	#13133214	C₂³	1	2	yes	—
367	#13133214	C₂³	1	1	yes	characteristic, complemented
368	#13133213	C₂³	1	4	yes	—
369	#13133213	C₂³	1	2	yes	—
370	#13133213	C₂³	1	1	yes	characteristic, complemented
371	#13133212	C₂³	1	2	yes	complemented
372	#13133212	C₂³	1	4	yes	complemented
373	#13133212	C₂³	1	4	yes	complemented
374	#13133212	C₂³	1	4	yes	complemented
375	#13133212	C₂³	1	4	yes	complemented
376	#13133212	C₂³	1	4	yes	complemented
377	#13133212	C₂³	1	4	yes	complemented
378	#13133212	C₂³	1	2	yes	complemented
379	#13133212	C₂³	1	4	yes	complemented
380	#13133211	C₂³	1	4	yes	complemented
381	#13133211	C₂³	1	4	yes	complemented
382	#13133210	C₂³	1	2	yes	complemented
383	#13133210	C₂³	1	4	yes	complemented
384	#13133210	C₂³	1	4	yes	complemented
385	#13133210	C₂³	1	2	yes	complemented
386	#13133209	C₂³	1	4	yes	complemented
387	#13133208	C₂³	1	1	yes	characteristic, complemented
388	#13133208	C₂³	1	4	yes	complemented
389	#13133208	C₂³	1	1	yes	characteristic, complemented
390	#13133208	C₂³	1	2	yes	complemented
391	#13133208	C₂³	1	2	yes	complemented
392	#13133208	C₂³	1	2	yes	complemented
393	#13133207	C₂³	1	4	yes	complemented
394	#13133207	C₂³	1	4	yes	complemented
395	#13133207	C₂³	1	2	yes	complemented
396	#13133207	C₂³	1	2	yes	complemented
397	#13133206	C₂³	1	2	yes	—
398	#13133206	C₂³	1	1	yes	characteristic, complemented
399	#13133206	C₂³	1	4	yes	complemented
400	#13133206	C₂³	1	2	yes	complemented
401	#13133206	C₂³	1	2	yes	complemented
402	#13133205	C₂³	1	2	yes	complemented
403	#13133205	C₂³	1	4	yes	complemented
404	#13133205	C₂³	1	4	yes	complemented
405	#13133204	C₂³	1	1	yes	characteristic, complemented
406	#13133203	C₂³	1	4	yes	—
407	#13133203	C₂³	1	2	yes	complemented
408	#13133203	C₂³	1	4	yes	complemented
409	#13133203	C₂³	1	4	yes	complemented
410	#13133203	C₂³	1	4	yes	complemented
411	#13133203	C₂³	1	4	yes	complemented
412	#13133203	C₂³	1	2	yes	complemented
413	#13133202	C₂³	1	2	yes	—
414	#13133202	C₂³	1	4	yes	—
415	#13133202	C₂³	1	4	yes	—
416	#13133202	C₂³	1	2	yes	—
417	#13133202	C₂³	1	4	yes	—
418	#13133202	C₂³	1	4	yes	complemented
419	#13133202	C₂³	1	4	yes	complemented
420	#13133202	C₂³	1	4	yes	complemented
421	#13133202	C₂³	1	4	yes	complemented
422	#13133202	C₂³	1	4	yes	complemented
423	#13133202	C₂³	1	4	yes	complemented
424	#13133202	C₂³	1	4	yes	complemented
425	#13133202	C₂³	1	4	yes	complemented
426	#13133202	C₂³	1	4	yes	complemented
427	#13133201	C₂³	1	4	yes	—
428	#13133201	C₂³	1	4	yes	—
429	#13133201	C₂³	1	4	yes	—
430	#13133201	C₂³	1	2	yes	—
431	#13133201	C₂³	1	4	yes	complemented
432	#13133201	C₂³	1	4	yes	complemented
433	#13133201	C₂³	1	4	yes	complemented
434	#13133201	C₂³	1	4	yes	complemented
435	#13133201	C₂³	1	4	yes	complemented
436	#13133201	C₂³	1	4	yes	complemented
437	#13133200	C₂³	1	4	yes	—
438	#13133200	C₂³	1	4	yes	—
439	#13133200	C₂³	1	4	yes	complemented
440	#13133199	C₂³	1	2	yes	—
441	#13133199	C₂³	1	4	yes	—
442	#13133199	C₂³	1	2	yes	—
443	#13133199	C₂³	1	4	yes	complemented
444	#13133199	C₂³	1	4	yes	complemented
445	#13133199	C₂³	1	4	yes	complemented
446	#13133199	C₂³	1	4	yes	complemented
447	#13133199	C₂³	1	4	yes	complemented
448	#13133199	C₂³	1	4	yes	complemented
449	#13133198	C₂³	1	2	yes	—
450	#13133197	C₂³	1	4	yes	—
451	#13133197	C₂³	1	2	yes	—
452	#13133197	C₂³	1	2	yes	—
453	#13133197	C₂³	1	1	yes	characteristic
454	#13133197	C₂³	1	1	yes	characteristic
455	#13133197	C₂³	1	4	yes	—
456	#13133197	C₂³	1	4	yes	complemented
457	#13133197	C₂³	1	2	yes	complemented
458	#13133197	C₂³	1	2	yes	complemented
459	#13133197	C₂³	1	2	yes	complemented
460	#13133197	C₂³	1	4	yes	complemented
461	#13133197	C₂³	1	2	yes	complemented
462	#13133197	C₂³	1	4	yes	complemented
463	#13133197	C₂³	1	4	yes	complemented
464	#13133196	C₂³	1	2	yes	complemented
465	#13133196	C₂³	1	4	yes	complemented
466	#13133196	C₂³	1	2	yes	complemented
467	#13133195	C₂³	1	2	yes	—
468	#13133195	C₂³	1	4	yes	—
469	#13133195	C₂³	1	4	yes	—
470	#13133195	C₂³	1	2	yes	—
471	#13133195	C₂³	1	4	yes	complemented
472	#13133195	C₂³	1	4	yes	complemented
473	#13133195	C₂³	1	4	yes	complemented
474	#13133195	C₂³	1	4	yes	complemented
475	#13133195	C₂³	1	4	yes	complemented
476	#13133194	C₂³	1	2	yes	—
477	#13133194	C₂³	1	2	yes	—
478	#13133194	C₂³	1	4	yes	complemented
479	#13133194	C₂³	1	4	yes	complemented
480	#13133194	C₂³	1	4	yes	complemented
481	#13133194	C₂³	1	4	yes	complemented
482	#13133194	C₂³	1	4	yes	complemented
483	#13133193	C₂³	1	2	yes	—
484	#13133193	C₂³	1	1	yes	characteristic
485	#13133193	C₂³	1	1	yes	characteristic
486	#13133193	C₂³	1	2	yes	—
487	#13133193	C₂³	1	4	yes	complemented
488	#13133193	C₂³	1	2	yes	complemented
489	#13133192	C₂³	1	4	yes	—
490	#13133192	C₂³	1	2	yes	—
491	#13133192	C₂³	1	4	yes	—
492	#13133192	C₂³	1	4	yes	—
493	#13133192	C₂³	1	2	yes	—
494	#13133192	C₂³	1	2	yes	—
495	#13133192	C₂³	1	2	yes	—
496	#13133192	C₂³	1	1	yes	characteristic
497	#13133192	C₂³	1	1	yes	characteristic
498	#13133192	C₂³	1	4	yes	—
499	#13133192	C₂³	1	2	yes	—
500	#13133192	C₂³	1	4	yes	complemented
501	#13133192	C₂³	1	4	yes	complemented
502	#13133192	C₂³	1	4	yes	complemented
503	#13133192	C₂³	1	2	yes	complemented
504	#13133192	C₂³	1	2	yes	complemented
505	#13133192	C₂³	1	2	yes	complemented
506	#13133192	C₂³	1	2	yes	complemented
507	#13133192	C₂³	1	2	yes	complemented
508	#13133192	C₂³	1	4	yes	complemented
509	#13133191	C₂³	1	2	yes	—
510	#13133191	C₂³	1	2	yes	—
511	#13133191	C₂³	1	2	yes	—
512	#13133191	C₂³	1	4	yes	—
513	#13133191	C₂³	1	4	yes	complemented
514	#13133191	C₂³	1	2	yes	complemented
515	#13133191	C₂³	1	2	yes	complemented
516	#13133191	C₂³	1	2	yes	complemented
517	#13133190	C₂³	1	4	yes	—
518	#13133190	C₂³	1	4	yes	—
519	#13133190	C₂³	1	4	yes	—
520	#13133190	C₂³	1	4	yes	—
521	#13133190	C₂³	1	2	yes	—
522	#13133190	C₂³	1	4	yes	—
523	#13133190	C₂³	1	4	yes	—
524	#13133190	C₂³	1	2	yes	—
525	#13133190	C₂³	1	4	yes	complemented
526	#13133190	C₂³	1	4	yes	complemented
527	#13133190	C₂³	1	4	yes	complemented
528	#13133190	C₂³	1	4	yes	complemented
529	#13133189	C₂³	1	2	yes	—
530	#13133189	C₂³	1	4	yes	—
531	#13133189	C₂³	1	2	yes	—
532	#13133189	C₂³	1	4	yes	—
533	#13133189	C₂³	1	4	yes	complemented
534	#13133189	C₂³	1	4	yes	complemented
535	#13133189	C₂³	1	4	yes	complemented
536	#13133188	C₂³	1	2	yes	—
537	#13133188	C₂³	1	1	yes	characteristic
538	#13133188	C₂³	1	1	yes	characteristic
539	#13133188	C₂³	1	4	yes	complemented
540	#13133187	C₂³	1	4	yes	—
541	#13133187	C₂³	1	4	yes	—
542	#13133187	C₂³	1	4	yes	—
543	#13133187	C₂³	1	4	yes	—
544	#13133187	C₂³	1	4	yes	—
545	#13133187	C₂³	1	4	yes	—
546	#13133187	C₂³	1	4	yes	—
547	#13133187	C₂³	1	4	yes	—
548	#13133187	C₂³	1	4	yes	—
549	#13133187	C₂³	1	2	yes	—
550	#13133187	C₂³	1	4	yes	—
551	#13133187	C₂³	1	4	yes	—
552	#13133187	C₂³	1	4	yes	complemented
553	#13133187	C₂³	1	4	yes	complemented
554	#13133187	C₂³	1	4	yes	complemented
555	#13133186	C₂³	1	4	yes	—
556	#13133185	C₂³	1	4	yes	—
557	#13133185	C₂³	1	4	yes	—
558	#13133185	C₂³	1	4	yes	—
559	#13133185	C₂³	1	2	yes	—
560	#13133185	C₂³	1	4	yes	—
561	#13133185	C₂³	1	4	yes	complemented
562	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
563	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
564	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
565	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
566	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
567	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
568	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
569	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
570	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
571	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
572	#13133182	C₂³	1	2	yes	complemented
573	#13133182	C₂³	1	2	yes	complemented
574	C₄×D₂₁₂	C₂³	1	2	yes	—
575	C₄×D₂₁₂	C₂³	1	4	yes	—
576	C₄×D₂₁₂	C₂³	1	2	yes	—
577	C₄×D₂₁₂	C₂³	1	2	yes	—
578	C₄×D₂₁₂	C₂³	1	4	yes	—
579	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
580	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
581	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
582	C₄×D₂₁₂	C₂³	1	2	yes	—
583	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
584	C₄×D₂₁₂	C₂³	1	4	yes	—
585	C₄×D₂₁₂	C₂³	1	4	yes	—
586	C₄×D₂₁₂	C₂³	1	2	yes	—
587	C₄×D₂₁₂	C₂³	1	2	yes	—
588	C₄×D₂₁₂	C₂³	1	4	yes	—
589	C₄×D₂₁₂	C₂³	1	4	yes	—
590	C₄×D₂₁₂	C₂³	1	2	yes	—
591	C₄×D₂₁₂	C₂³	1	4	yes	complemented
592	C₄×D₂₁₂	C₂³	1	4	yes	complemented
593	C₄×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
594	C₄×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
595	C₄×D₂₁₂	C₂³	1	2	yes	complemented
596	C₄×D₂₁₂	C₂³	1	4	yes	complemented
597	C₄×D₂₁₂	C₂³	1	4	yes	complemented
598	C₄×D₂₁₂	C₂³	1	4	yes	complemented
599	C₄×D₂₁₂	C₂³	1	2	yes	complemented
600	C₄×D₂₁₂	C₂³	1	4	yes	complemented
601	C₄×D₂₁₂	C₂³	1	4	yes	complemented
602	C₄×D₂₁₂	C₂³	1	4	yes	complemented
603	C₄×D₂₁₂	C₂³	1	4	yes	complemented
604	C₄×D₂₁₂	C₂³	1	4	yes	complemented
605	C₄×D₂₁₂	C₂³	1	2	yes	complemented
606	D₄×Dic₅₃	C₂³	1	2	yes	—
607	D₄×Dic₅₃	C₂³	1	2	yes	—
608	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
609	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
610	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
611	D₄×Dic₅₃	C₂³	1	2	yes	—
612	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
613	D₄×Dic₅₃	C₂³	1	4	yes	complemented
614	D₄×Dic₅₃	C₂³	1	4	yes	complemented
615	D₄×Dic₅₃	C₂³	1	4	yes	complemented
616	#13133179	C₂³	1	1	yes	characteristic
617	#13133179	C₂³	1	4	yes	—
618	#13133179	C₂³	1	2	yes	—
619	#13133179	C₂³	1	4	yes	—
620	#13133179	C₂³	1	2	yes	—
621	#13133179	C₂³	1	1	yes	characteristic
622	#13133179	C₂³	1	1	yes	characteristic
623	#13133179	C₂³	1	2	yes	—
624	#13133179	C₂³	1	1	yes	characteristic
625	#13133179	C₂³	1	4	yes	—
626	#13133179	C₂³	1	4	yes	—
627	#13133179	C₂³	1	2	yes	complemented
628	#13133179	C₂³	1	2	yes	complemented
629	#13133179	C₂³	1	4	yes	complemented
630	#13133179	C₂³	1	4	yes	complemented
631	#13133179	C₂³	1	2	yes	complemented
632	#13133179	C₂³	1	2	yes	complemented
633	#13133179	C₂³	1	2	yes	complemented
634	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
635	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
636	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
637	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
638	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
639	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
640	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
641	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
642	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
643	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
644	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
645	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
646	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
647	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
648	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
649	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
650	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
651	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
652	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
653	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
654	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
655	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
656	#13133177	C₂³	1	2	yes	—
657	#13133177	C₂³	1	4	yes	—
658	#13133177	C₂³	1	4	yes	—
659	#13133177	C₂³	1	4	yes	—
660	#13133177	C₂³	1	4	yes	—
661	#13133177	C₂³	1	2	yes	—
662	#13133177	C₂³	1	2	yes	—
663	#13133177	C₂³	1	2	yes	—
664	#13133177	C₂³	1	2	yes	—
665	#13133177	C₂³	1	2	yes	—
666	#13133177	C₂³	1	2	yes	—
667	#13133177	C₂³	1	2	yes	—
668	#13133177	C₂³	1	4	yes	—
669	#13133177	C₂³	1	4	yes	complemented
670	#13133177	C₂³	1	4	yes	complemented
671	#13133177	C₂³	1	4	yes	complemented
672	#13133177	C₂³	1	4	yes	complemented
673	#13133176	C₂³	1	1	yes	characteristic
674	#13133176	C₂³	1	4	yes	complemented
675	#13133176	C₂³	1	2	yes	complemented
676	#13133176	C₂³	1	2	yes	complemented
677	#13133175	C₂³	1	2	yes	—
678	#13133175	C₂³	1	2	yes	—
679	#13133175	C₂³	1	4	yes	complemented
680	#13133175	C₂³	1	4	yes	complemented
681	#13133175	C₂³	1	2	yes	complemented
682	#13133175	C₂³	1	2	yes	complemented
683	#13133175	C₂³	1	2	yes	complemented
684	#13133175	C₂³	1	4	yes	complemented
685	#13133174	C₂³	1	2	yes	—
686	#13133174	C₂³	1	2	yes	—
687	#13133174	C₂³	1	2	yes	complemented
688	#13133174	C₂³	1	4	yes	complemented
689	#13133174	C₂³	1	4	yes	complemented
690	#13133174	C₂³	1	4	yes	complemented
691	#13133174	C₂³	1	4	yes	complemented
692	#13133174	C₂³	1	2	yes	complemented
693	#13133174	C₂³	1	2	yes	complemented
694	#13133173	C₂³	1	4	yes	—
695	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
696	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
697	C₂×C₄⋊Dic₅₃	C₂³	1	4	yes	complemented
698	C₂×C₄⋊Dic₅₃	C₂³	1	4	yes	complemented
699	C₂×#11719919	C₂³	1	2	yes	—
700	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
701	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
702	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
703	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
704	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
705	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
706	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
707	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
708	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
709	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
710	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
711	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
712	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
713	C₂×#11719921	C₂³	1	2	yes	—
714	C₂×#11719921	C₂³	1	4	yes	—
715	C₂×#11719921	C₂³	1	2	yes	—
716	C₂×#11719921	C₂³	1	4	yes	—
717	C₂×#11719921	C₂³	1	4	yes	complemented
718	C₂×#11719921	C₂³	1	4	yes	complemented
719	C₂×#11719921	C₂³	1	4	yes	complemented
720	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
721	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
722	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
723	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
724	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
725	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
726	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
727	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
728	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
729	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
730	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
731	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
732	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
733	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
734	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
735	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
736	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
737	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
738	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
739	C₄²×D₅₃	C₂³	1	1	yes	characteristic
740	C₄²×D₅₃	C₂³	1	1	yes	characteristic
741	C₄²×D₅₃	C₂³	1	1	yes	characteristic
742	C₄²×D₅₃	C₂³	1	1	yes	characteristic
743	C₄²×D₅₃	C₂³	1	1	yes	characteristic
744	C₄²×D₅₃	C₂³	1	1	yes	characteristic
745	C₄²×D₅₃	C₂³	1	1	yes	characteristic
746	C₄²×D₅₃	C₂³	1	1	yes	characteristic
747	C₄²×D₅₃	C₂³	1	4	yes	complemented
748	C₄²×D₅₃	C₂³	1	4	yes	complemented
749	C₄²×D₅₃	C₂³	1	2	yes	complemented
750	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
751	C₂×#41×C₅₃	C₂³	1	2	yes	—
752	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
753	C₂³×C₄×C₅₃	C₂³	1	2	yes	—
754	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
755	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
756	#126×C₅₃	C₂³	1	4	yes	complemented
757	#126×C₅₃	C₂³	1	4	yes	complemented
758	#126×C₅₃	C₂³	1	4	yes	complemented
759	#125×C₅₃	C₂³	1	4	yes	complemented
760	#125×C₅₃	C₂³	1	2	yes	complemented
761	#125×C₅₃	C₂³	1	2	yes	complemented
762	#124×C₅₃	C₂³	1	2	yes	—
763	#124×C₅₃	C₂³	1	4	yes	complemented
764	#123×C₅₃	C₂³	1	4	yes	—
765	#123×C₅₃	C₂³	1	4	yes	—
766	#123×C₅₃	C₂³	1	4	yes	complemented
767	#123×C₅₃	C₂³	1	4	yes	complemented
768	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
769	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
770	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
771	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
772	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
773	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
774	#121×C₅₃	C₂³	1	4	yes	—
775	#121×C₅₃	C₂³	1	2	yes	—
776	#121×C₅₃	C₂³	1	2	yes	complemented
777	#121×C₅₃	C₂³	1	2	yes	complemented
778	#120×C₅₃	C₂³	1	4	yes	—
779	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
780	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
781	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
782	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
783	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
784	C₄×D₄×C₅₃	C₂³	1	2	yes	—
785	C₄×D₄×C₅₃	C₂³	1	2	yes	—
786	C₄×D₄×C₅₃	C₂³	1	2	yes	—
787	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
788	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
789	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
790	C₄×D₄×C₅₃	C₂³	1	2	yes	—
791	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
792	C₄×D₄×C₅₃	C₂³	1	2	yes	—
793	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
794	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
795	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
796	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
797	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
798	#117×C₅₃	C₂³	1	1	yes	characteristic
799	#117×C₅₃	C₂³	1	4	yes	—
800	#117×C₅₃	C₂³	1	2	yes	—
801	#117×C₅₃	C₂³	1	4	yes	complemented
802	#117×C₅₃	C₂³	1	2	yes	complemented
803	#117×C₅₃	C₂³	1	2	yes	complemented
804	#117×C₅₃	C₂³	1	4	yes	complemented
805	#117×C₅₃	C₂³	1	2	yes	complemented
806	#117×C₅₃	C₂³	1	2	yes	complemented
807	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
808	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
809	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
810	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
811	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
812	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
813	C₂×C₄²×C₅₃	C₂³	1	4	yes	complemented
814	C₂×C₄²×C₅₃	C₂³	1	2	yes	complemented
815	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
816	C₂³×D₅₃	—	2	8	no	—
817	C₂³×D₅₃	—	4	4	no	—
818	C₂³×D₅₃	—	4	4	no	—
819	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
820	C₂³×D₅₃	C₂⁴	1	2	yes	—
821	C₂³×D₅₃	C₂⁴	1	2	yes	—
822	C₂³×D₅₃	C₂⁴	1	2	yes	—
823	C₂³×D₅₃	C₂⁴	1	2	yes	—
824	C₂³×D₅₃	C₂⁴	1	4	yes	—
825	C₂³×D₅₃	C₂⁴	1	4	yes	—
826	C₂³×D₅₃	C₂⁴	1	2	yes	—
827	#41×C₅₃	—	2	8	no	—
828	#41×C₅₃	—	2	4	no	—
829	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
830	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
831	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
832	C₂×D₄×C₅₃	—	2	4	no	—
833	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
834	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
835	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
836	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
837	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
838	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
839	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
840	C₂²×C₄×C₅₃	—	2	8	no	—
841	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
842	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
843	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
844	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
845	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
846	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
847	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
848	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
849	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
850	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
851	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
852	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
853	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
854	C₂×C₂²⋊D₅₃	—	2	8	no	—
855	C₂×C₂²⋊D₅₃	—	4	8	no	—
856	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
857	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
858	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
859	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
860	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
861	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
862	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
863	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
864	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
865	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
866	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
867	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
870	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
871	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
872	C₂²×Dic₅₃	—	4	4	no	—
873	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
874	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
875	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
876	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
877	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
878	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
879	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
880	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
881	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
882	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
883	#11719949	—	2	8	no	—
884	#11719949	—	2	8	no	—
885	#11719949	—	4	4	no	—
886	#11719949	—	4	4	no	—
887	Q₈×D₅₃	—	4	4	no	—
888	#11719947	—	4	4	no	—
889	#11719947	—	4	8	no	—
890	D₄×D₅₃	—	2	8	no	—
891	D₄×D₅₃	—	2	16	no	—
892	D₄×D₅₃	—	2	4	no	—
893	D₄×D₅₃	—	2	8	no	—
894	D₄×D₅₃	—	2	8	no	—
895	D₄×D₅₃	—	2	16	no	—
896	D₄×D₅₃	—	2	4	no	—
897	D₄×D₅₃	—	2	4	no	—
898	D₄×D₅₃	—	4	4	no	—
899	D₄×D₅₃	—	4	8	no	—
900	D₄×D₅₃	—	4	8	no	—
901	D₄×D₅₃	#41	1	8	yes	complemented
902	#11719945	—	2	8	no	—
903	#11719945	—	2	4	no	—
904	#11719945	—	2	16	no	—
905	#11719945	—	2	8	no	—
906	#11719945	—	4	4	no	—
907	#11719945	—	4	4	no	—
908	#11719945	—	4	8	no	—
909	#11719945	—	4	8	no	—
910	#11719945	—	4	4	no	—
911	#11719945	—	4	8	no	—
912	C₂×D₂₁₂	—	2	16	no	—
913	C₂×D₂₁₂	—	2	4	no	—
914	C₂×D₂₁₂	—	2	8	no	—
915	C₂×D₂₁₂	—	4	4	no	—
916	C₂×D₂₁₂	—	4	8	no	—
917	C₂×D₂₁₂	C₂⁴	1	4	yes	—
918	C₂×D₂₁₂	C₂⁴	1	4	yes	—
919	C₂×D₂₁₂	C₂⁴	1	2	yes	—
920	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
921	C₂×D₂₁₂	C₂⁴	1	4	yes	—
922	C₂×D₂₁₂	C₂⁴	1	2	yes	—
923	C₂×D₂₁₂	C₂⁴	1	2	yes	—
924	C₂×D₂₁₂	C₂⁴	1	2	yes	—
925	C₂×D₂₁₂	C₂⁴	1	2	yes	—
926	C₂×D₂₁₂	C₂⁴	1	4	yes	—
927	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
928	C₂×D₂₁₂	C₂⁴	1	2	yes	—
929	C₂×D₂₁₂	C₂⁴	1	4	yes	—
930	C₂×D₂₁₂	C₂⁴	1	4	yes	—
931	C₂×D₂₁₂	C₂⁴	1	4	yes	—
932	C₂×D₂₁₂	C₂⁴	1	4	yes	—
933	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
934	C₂×C₄×D₅₃	—	2	4	no	—
935	C₂×C₄×D₅₃	—	2	8	no	—
936	C₂×C₄×D₅₃	—	2	4	no	—
937	C₂×C₄×D₅₃	—	4	4	no	—
938	C₂×C₄×D₅₃	—	4	4	no	—
939	C₂×C₄×D₅₃	—	4	4	no	—
940	C₂×C₄×D₅₃	—	4	4	no	—
941	C₂×C₄×D₅₃	—	4	4	no	—
942	C₂×C₄×D₅₃	—	4	4	no	—
943	C₂×C₄×D₅₃	—	4	4	no	—
944	C₂×C₄×D₅₃	—	4	4	no	—
945	C₂×C₄×D₅₃	—	4	8	no	—
946	C₂×C₄×D₅₃	—	4	8	no	—
947	C₂×C₄×D₅₃	—	4	2	no	—
948	C₂×C₄×D₅₃	—	4	4	no	—
949	C₂×C₄×D₅₃	—	4	4	no	—
950	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
951	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
952	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
953	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
954	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
955	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
956	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
957	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
958	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
959	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
960	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
961	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
962	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
963	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
964	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
965	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
966	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
967	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
968	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
969	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
970	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
971	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
972	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
973	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
974	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
975	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
976	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
977	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
978	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
979	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
980	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
981	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
982	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
983	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
984	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
985	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
986	C₂×Dic₁₀₆	—	4	4	no	—
987	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
988	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
989	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
990	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
991	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
992	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
993	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
994	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
995	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
996	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
997	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
998	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
999	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1000	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1001	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1002	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1003	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1004	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1005	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1006	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1007	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1008	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1009	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1010	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1011	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1012	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1013	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1014	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1015	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1016	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1017	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1018	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1019	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1020	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1021	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1022	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1023	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1024	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1025	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1026	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1027	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1028	C₄²×C₅₃	C₂⁴	1	2	yes	—
1029	C₄²×C₅₃	C₂⁴	1	4	yes	—
1030	C₄²×C₅₃	C₂⁴	1	4	yes	—
1031	C₄²×C₅₃	C₂⁴	1	4	yes	—
1032	C₄²×C₅₃	C₂⁴	1	2	yes	—
1033	C₄²×C₅₃	C₂⁴	1	2	yes	—
1034	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1035	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1036	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1037	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1038	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1039	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1040	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1041	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1042	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1043	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1044	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1045	#11719921	C₂⁴	1	2	yes	—
1046	#11719921	C₂⁴	1	2	yes	—
1047	#11719921	C₂⁴	1	2	yes	—
1048	#11719921	C₂⁴	1	2	yes	—
1049	#11719921	C₂⁴	1	2	yes	—
1050	#11719921	C₂⁴	1	2	yes	—
1051	#11719921	C₂⁴	1	2	yes	—
1052	#11719921	C₂⁴	1	2	yes	—
1053	#11719921	C₂⁴	1	2	yes	—
1054	#11719921	C₂⁴	1	2	yes	—
1055	#11719921	C₂⁴	1	4	yes	—
1056	#11719921	C₂⁴	1	4	yes	—
1057	#11719921	C₂⁴	1	4	yes	—
1058	#11719921	C₂⁴	1	4	yes	—
1059	#11719921	C₂⁴	1	4	yes	—
1060	#11719921	C₂⁴	1	2	yes	—
1061	#11719921	C₂⁴	1	4	yes	—
1062	#11719921	C₂⁴	1	4	yes	—
1063	#11719921	C₂⁴	1	4	yes	—
1064	#11719921	C₂⁴	1	4	yes	—
1065	#11719921	C₂⁴	1	4	yes	—
1066	#11719921	C₂⁴	1	4	yes	—
1067	#11719921	C₂⁴	1	2	yes	—
1068	#11719921	C₂⁴	1	2	yes	—
1069	#11719921	C₂⁴	1	4	yes	—
1070	#11719921	C₂⁴	1	4	yes	—
1071	#11719921	C₂⁴	1	4	yes	—
1072	#11719921	C₂⁴	1	4	yes	—
1073	#11719921	C₂⁴	1	2	yes	—
1074	#11719921	C₂⁴	1	2	yes	—
1075	#11719921	C₂⁴	1	4	yes	—
1076	#11719921	C₂⁴	1	4	yes	—
1077	#11719921	C₂⁴	1	4	yes	—
1078	#11719921	C₂⁴	1	4	yes	—
1079	#11719921	C₂⁴	1	2	yes	—
1080	#11719921	C₂⁴	1	2	yes	—
1081	#11719921	C₂⁴	1	2	yes	—
1082	#11719921	C₂⁴	1	4	yes	—
1083	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1084	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1085	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1086	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1087	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1088	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1089	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1090	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1091	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1092	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1093	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1094	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1095	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1096	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1097	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1098	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1099	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1100	#11719919	C₂⁴	1	2	yes	—
1101	#11719919	C₂⁴	1	2	yes	—
1102	#11719919	C₂⁴	1	2	yes	—
1103	#11719919	C₂⁴	1	2	yes	—
1104	#11719919	C₂⁴	1	2	yes	—
1105	#11719919	C₂⁴	1	4	yes	—
1106	#11719919	C₂⁴	1	2	yes	—
1107	#11719919	C₂⁴	1	2	yes	—
1108	#11719919	C₂⁴	1	4	yes	—
1109	#11719919	C₂⁴	1	4	yes	—
1110	#11719919	C₂⁴	1	4	yes	—
1111	#11719919	C₂⁴	1	2	yes	—
1112	#11719919	C₂⁴	1	2	yes	—
1113	#11719919	C₂⁴	1	2	yes	—
1114	#11719919	C₂⁴	1	2	yes	—
1115	#11719919	C₂⁴	1	4	yes	—
1116	#11719919	C₂⁴	1	4	yes	—
1117	#11719919	C₂⁴	1	2	yes	—
1118	#11719919	C₂⁴	1	2	yes	—
1119	#11719919	C₂⁴	1	2	yes	—
1120	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1121	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1122	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1123	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1124	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1125	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1126	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1127	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1128	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1129	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1130	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1131	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1132	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1133	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1134	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1135	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1136	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1137	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1138	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1139	C₂³×C₅₃	—	2	4	no	—
1140	C₂³×C₅₃	—	2	4	no	—
1141	C₂³×C₅₃	—	4	2	no	—
1142	C₂³×C₅₃	C₂⁵	1	2	yes	—
1143	C₂³×C₅₃	C₂⁵	1	2	yes	—
1144	C₂³×C₅₃	C₂⁵	1	2	yes	—
1145	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1146	C₂²×D₅₃	—	2	2	no	—
1147	C₂²×D₅₃	—	2	2	no	—
1148	C₂²×D₅₃	—	2	2	no	—
1149	C₂²×D₅₃	—	2	4	no	—
1150	C₂²×D₅₃	—	2	4	no	—
1151	C₂²×D₅₃	—	2	8	no	—
1152	C₂²×D₅₃	—	2	4	no	—
1153	C₂²×D₅₃	—	2	4	no	—
1154	C₂²×D₅₃	—	2	4	no	—
1155	C₂²×D₅₃	—	2	4	no	—
1156	C₂²×D₅₃	—	2	4	no	—
1157	C₂²×D₅₃	—	2	8	no	—
1158	C₂²×D₅₃	—	4	2	no	—
1159	C₂²×D₅₃	—	4	2	no	—
1160	C₂²×D₅₃	—	4	2	no	—
1161	C₂²×D₅₃	—	4	2	no	—
1162	C₂²×D₅₃	—	4	2	no	—
1163	C₂²×D₅₃	—	4	2	no	—
1164	C₂²×D₅₃	—	4	2	no	—
1165	C₂²×D₅₃	—	4	4	no	—
1166	C₂²×D₅₃	—	4	4	no	—
1167	C₂²×D₅₃	—	4	4	no	—
1168	C₂²×D₅₃	—	4	4	no	—
1169	C₂²×D₅₃	—	4	32	no	—
1170	C₂²×D₅₃	C₂×#41	1	8	yes	complemented
1171	C₂²×D₅₃	C₂⁵	1	4	yes	—
1172	C₂²×D₅₃	C₂⁵	1	2	yes	—
1173	C₂²×D₅₃	C₂⁵	1	2	yes	—
1174	C₂²×D₅₃	C₂⁵	1	2	yes	—
1175	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1176	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1177	Q₈×C₅₃	—	2	4	no	—
1178	Q₈×C₅₃	—	2	2	no	—
1179	Q₈×C₅₃	—	4	2	no	—
1180	D₄×C₅₃	—	2	4	no	—
1181	D₄×C₅₃	—	2	8	no	—
1182	D₄×C₅₃	—	2	4	no	—
1183	D₄×C₅₃	—	2	2	no	—
1184	D₄×C₅₃	—	2	2	no	—
1185	D₄×C₅₃	—	4	4	no	—
1186	D₄×C₅₃	C₂×#41	1	4	yes	complemented
1187	C₂×C₄×C₅₃	—	2	8	no	—
1188	C₂×C₄×C₅₃	—	2	4	no	—
1189	C₂×C₄×C₅₃	—	2	2	no	—
1190	C₂×C₄×C₅₃	—	2	4	no	—
1191	C₂×C₄×C₅₃	—	2	4	no	—
1192	C₂×C₄×C₅₃	—	2	4	no	—
1193	C₂×C₄×C₅₃	—	2	4	no	—
1194	C₂×C₄×C₅₃	—	2	4	no	—
1195	C₂×C₄×C₅₃	—	2	4	no	—
1196	C₂×C₄×C₅₃	—	4	1	no	—
1197	C₂×C₄×C₅₃	—	4	4	no	—
1198	C₂×C₄×C₅₃	—	4	2	no	—
1199	C₂×C₄×C₅₃	H(5,𝔽₂)	1	4	yes	complemented
1200	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1201	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1202	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1203	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1204	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1205	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1206	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1207	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1208	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1209	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1210	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1211	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1212	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1213	C₂²⋊D₅₃	—	2	8	no	—
1214	C₂²⋊D₅₃	—	2	4	no	—
1215	C₂²⋊D₅₃	—	2	4	no	—
1216	C₂²⋊D₅₃	—	2	8	no	—
1217	C₂²⋊D₅₃	—	2	4	no	—
1218	C₂²⋊D₅₃	—	2	4	no	—
1219	C₂²⋊D₅₃	—	2	4	no	—
1220	C₂²⋊D₅₃	—	2	4	no	—
1221	C₂²⋊D₅₃	—	2	4	no	—
1222	C₂²⋊D₅₃	—	4	4	no	—
1223	C₂²⋊D₅₃	—	4	4	no	—
1224	C₂²⋊D₅₃	—	4	4	no	—
1225	C₂²⋊D₅₃	—	4	4	no	—
1226	C₂²⋊D₅₃	—	4	2	no	—
1227	C₂²⋊D₅₃	—	4	4	no	—
1228	C₂²⋊D₅₃	C₂×#41	1	8	yes	complemented
1229	C₂×Dic₅₃	—	2	2	no	—
1230	C₂×Dic₅₃	—	2	4	no	—
1231	C₂×Dic₅₃	—	2	2	no	—
1232	C₂×Dic₅₃	—	4	4	no	—
1233	C₂×Dic₅₃	—	4	2	no	—
1234	C₂×Dic₅₃	—	4	2	no	—
1235	C₂×Dic₅₃	—	4	2	no	—
1236	C₂×Dic₅₃	—	4	2	no	—
1237	C₂×Dic₅₃	—	4	4	no	—
1238	C₂×Dic₅₃	—	4	1	no	—
1239	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1240	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1241	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1242	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1243	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1244	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1245	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1246	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1247	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1248	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1249	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1250	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1251	D₂₁₂	—	2	8	no	—
1252	D₂₁₂	—	2	4	no	—
1253	D₂₁₂	—	2	4	no	—
1254	D₂₁₂	—	2	8	no	—
1255	D₂₁₂	—	2	8	no	—
1256	D₂₁₂	—	2	4	no	—
1257	D₂₁₂	—	2	8	no	—
1258	D₂₁₂	—	2	2	no	—
1259	D₂₁₂	—	2	4	no	—
1260	D₂₁₂	—	2	2	no	—
1261	D₂₁₂	—	2	4	no	—
1262	D₂₁₂	—	4	4	no	—
1263	D₂₁₂	—	4	4	no	—
1264	D₂₁₂	—	4	4	no	—
1265	D₂₁₂	—	4	4	no	—
1266	D₂₁₂	—	4	2	no	—
1267	D₂₁₂	C₂×#41	1	4	yes	complemented
1268	C₄×D₅₃	—	2	2	no	—
1269	C₄×D₅₃	—	2	8	no	—
1270	C₄×D₅₃	—	2	2	no	—
1271	C₄×D₅₃	—	2	2	no	—
1272	C₄×D₅₃	—	2	2	no	—
1273	C₄×D₅₃	—	2	4	no	—
1274	C₄×D₅₃	—	2	2	no	—
1275	C₄×D₅₃	—	2	2	no	—
1276	C₄×D₅₃	—	2	2	no	—
1277	C₄×D₅₃	—	2	2	no	—
1278	C₄×D₅₃	—	2	4	no	—
1279	C₄×D₅₃	—	2	4	no	—
1280	C₄×D₅₃	—	2	4	no	—
1281	C₄×D₅₃	—	2	4	no	—
1282	C₄×D₅₃	—	2	8	no	—
1283	C₄×D₅₃	—	2	4	no	—
1284	C₄×D₅₃	—	2	2	no	—
1285	C₄×D₅₃	—	2	8	no	—
1286	C₄×D₅₃	—	4	2	no	—
1287	C₄×D₅₃	—	4	2	no	—
1288	C₄×D₅₃	—	4	2	no	—
1289	C₄×D₅₃	—	4	2	no	—
1290	C₄×D₅₃	—	4	2	no	—
1291	C₄×D₅₃	—	4	2	no	—
1292	C₄×D₅₃	—	4	2	no	—
1293	C₄×D₅₃	—	4	2	no	—
1294	C₄×D₅₃	—	4	1	no	—
1295	C₄×D₅₃	—	4	1	no	—
1296	C₄×D₅₃	—	4	4	no	—
1297	C₄×D₅₃	—	4	4	no	—
1298	C₄×D₅₃	—	4	4	no	—
1299	C₄×D₅₃	—	4	4	no	—
1300	C₄×D₅₃	—	4	2	no	—
1301	C₄×D₅₃	—	4	4	no	—
1302	C₄×D₅₃	—	4	4	no	—
1303	C₄×D₅₃	C₂×#41	1	4	yes	complemented
1304	Dic₁₀₆	—	2	2	no	—
1305	Dic₁₀₆	—	2	4	no	—
1306	Dic₁₀₆	—	2	4	no	—
1307	Dic₁₀₆	—	4	4	no	—
1308	Dic₁₀₆	—	4	2	no	—
1309	Dic₁₀₆	—	4	4	no	—
1310	#62773	—	53	1	no	maximal, Sylow
1311	C₂²×C₅₃	—	2	1	no	—
1312	C₂²×C₅₃	—	2	2	no	—
1313	C₂²×C₅₃	—	2	1	no	—
1314	C₂²×C₅₃	—	2	2	no	—
1315	C₂²×C₅₃	—	2	2	no	—
1316	C₂²×C₅₃	—	2	2	no	—
1317	C₂²×C₅₃	—	2	2	no	—
1318	C₂²×C₅₃	—	2	2	no	—
1319	C₂²×C₅₃	—	2	2	no	—
1320	C₂²×C₅₃	—	2	2	no	—
1321	C₂²×C₅₃	—	4	8	no	—
1322	C₂²×C₅₃	C₂²×#41	1	4	yes	—
1323	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1324	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1325	C₂×D₅₃	—	2	8	no	—
1326	C₂×D₅₃	—	2	1	no	—
1327	C₂×D₅₃	—	2	1	no	—
1328	C₂×D₅₃	—	2	1	no	—
1329	C₂×D₅₃	—	2	2	no	—
1330	C₂×D₅₃	—	2	1	no	—
1331	C₂×D₅₃	—	2	2	no	—
1332	C₂×D₅₃	—	2	2	no	—
1333	C₂×D₅₃	—	2	4	no	—
1334	C₂×D₅₃	—	2	2	no	—
1335	C₂×D₅₃	—	2	2	no	—
1336	C₂×D₅₃	—	2	2	no	—
1337	C₂×D₅₃	—	2	4	no	—
1338	C₂×D₅₃	—	2	2	no	—
1339	C₂×D₅₃	—	2	4	no	—
1340	C₂×D₅₃	—	2	2	no	—
1341	C₂×D₅₃	—	4	8	no	—
1342	C₂×D₅₃	—	4	8	no	—
1343	C₂×D₅₃	—	4	8	no	—
1344	C₂×D₅₃	—	4	8	no	—
1345	C₂×D₅₃	—	4	8	no	—
1346	C₂×D₅₃	—	8	8	no	—
1347	C₂×D₅₃	—	8	8	no	—
1348	C₂×D₅₃	C₂²×#41	1	4	yes	—
1349	C₂×D₅₃	C₂²×#41	1	2	yes	—
1350	C₂×D₅₃	#585	1	2	yes	—
1351	C₄×C₅₃	—	2	2	no	—
1352	C₄×C₅₃	—	2	1	no	—
1353	C₄×C₅₃	—	2	4	no	—
1354	C₄×C₅₃	—	2	2	no	—
1355	C₄×C₅₃	—	2	2	no	—
1356	C₄×C₅₃	—	2	2	no	—
1357	C₄×C₅₃	—	2	2	no	—
1358	C₄×C₅₃	—	2	1	no	—
1359	C₄×C₅₃	—	2	1	no	—
1360	C₄×C₅₃	—	2	4	no	—
1361	C₄×C₅₃	C₂²×#41	1	2	yes	—
1362	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1363	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1364	Dic₅₃	—	2	2	no	—
1365	Dic₅₃	—	2	1	no	—
1366	Dic₅₃	—	2	2	no	—
1367	Dic₅₃	—	2	4	no	—
1368	Dic₅₃	—	2	2	no	—
1369	Dic₅₃	—	2	1	no	—
1370	Dic₅₃	—	2	1	no	—
1371	Dic₅₃	—	2	2	no	—
1372	Dic₅₃	—	2	1	no	—
1373	Dic₅₃	—	2	2	no	—
1374	Dic₅₃	—	2	1	no	—
1375	Dic₅₃	C₂²×#41	1	2	yes	—
1376	#3520	—	53	1	no	—
1377	#3520	—	53	2	no	—
1378	#3520	—	53	1	no	—
1379	#3519	—	53	1	no	—
1380	#3519	—	53	1	no	—
1381	#3519	—	53	2	no	—
1382	#3513	—	53	2	no	—
1383	#3513	—	53	4	no	—
1384	#3513	—	53	2	no	—
1385	#3506	—	53	1	no	—
1386	#3506	—	53	1	no	—
1387	#3505	—	53	2	no	—
1388	#3505	—	53	2	no	—
1389	#3501	—	53	1	no	—
1390	#3496	—	53	1	no	—
1391	#3492	—	53	2	no	—
1392	#3490	—	53	4	no	—
1393	#3484	—	53	2	no	—
1394	#3481	—	53	4	no	—
1395	#3481	—	53	2	no	—
1396	#3481	—	53	2	no	—
1397	#3475	—	53	1	no	—
1398	#3475	—	53	2	no	—
1399	#3475	D₅₃	1	1	yes	characteristic, complemented
1400	D₄×#41	—	53	2	no	—
1401	D₄×#41	—	53	1	no	—
1402	D₄×#41	—	53	1	no	—
1403	#3460	—	53	2	no	—
1404	#3459	—	53	4	no	—
1405	#3444	—	53	1	no	—
1406	#3444	—	53	1	no	—
1407	C₂×#525	—	53	2	no	—
1408	C₂×#525	—	53	2	no	—
1409	C₄×H(5,𝔽₂)	—	53	2	no	—
1410	C₂²×C₄×D₄	—	53	1	no	—
1411	C₂×C₅₃	—	2	2	no	—
1412	C₂×C₅₃	—	2	4	no	—
1413	C₂×C₅₃	—	4	2	no	—
1414	C₂×C₅₃	—	4	2	no	—
1415	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1416	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1417	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1418	D₅₃	—	2	2	no	—
1419	D₅₃	—	2	2	no	—
1420	D₅₃	—	2	4	no	—
1421	D₅₃	—	4	2	no	—
1422	D₅₃	—	4	4	no	—
1423	D₅₃	—	4	2	no	—
1424	C₂×H(5,𝔽₂)	—	53	2	no	—
1425	C₂²×#41	—	53	2	no	—
1426	C₂²×#41	—	53	2	no	—
1427	C₂³×D₄	—	53	1	no	—
1428	C₂⁴×C₄	—	53	2	no	—
1429	#559	—	53	2	no	—
1430	#559	—	53	4	no	—
1431	#559	—	53	2	no	—
1432	#556	—	53	1	no	—
1433	#556	—	53	2	no	—
1434	#556	C₂×D₅₃	1	1	yes	characteristic, complemented
1435	#555	—	53	1	no	—
1436	#555	—	53	2	no	—
1437	#555	C₂×D₅₃	1	1	yes	characteristic, complemented
1438	#554	—	53	1	no	—
1439	#554	—	53	4	no	—
1440	#554	—	53	2	no	—
1441	#554	—	53	2	no	—
1442	#554	—	53	4	no	—
1443	#554	—	53	2	no	—
1444	#554	—	53	2	no	—
1445	#554	—	53	2	no	—
1446	#554	C₂×D₅₃	1	1	yes	characteristic, complemented
1447	#553	—	53	4	no	—
1448	#553	—	53	4	no	—
1449	#553	—	53	4	no	—
1450	#553	—	53	2	no	—
1451	#553	—	53	2	no	—
1452	#553	—	53	4	no	—
1453	#553	—	53	4	no	—
1454	#553	—	53	2	no	—
1455	#553	—	53	4	no	—
1456	#553	—	53	2	no	—
1457	#553	—	53	2	no	—
1458	#553	—	53	2	no	—
1459	#553	—	53	2	no	—
1460	#553	C₂×D₅₃	1	2	yes	complemented
1461	#552	—	53	2	no	—
1462	#552	—	53	2	no	—
1463	#552	—	53	4	no	—
1464	#552	—	53	2	no	—
1465	#552	—	53	2	no	—
1466	#552	C₂×D₅₃	1	2	yes	complemented
1467	#552	C₂×D₅₃	1	2	yes	complemented
1468	#551	—	53	4	no	—
1469	#551	—	53	4	no	—
1470	#551	—	53	4	no	—
1471	#551	—	53	4	no	—
1472	#551	—	53	4	no	—
1473	#551	—	53	4	no	—
1474	#551	—	53	4	no	—
1475	#551	—	53	4	no	—
1476	#551	—	53	4	no	—
1477	#551	—	53	4	no	—
1478	#551	—	53	4	no	—
1479	#551	C₂×D₅₃	1	4	yes	complemented
1480	#550	—	53	2	no	—
1481	#550	—	53	1	no	—
1482	#550	—	53	1	no	—
1483	D₄×Q₈	—	53	2	no	—
1484	D₄×Q₈	—	53	1	no	—
1485	D₄×Q₈	—	53	1	no	—
1486	#548	—	53	2	no	—
1487	#548	—	53	2	no	—
1488	#548	—	53	2	no	—
1489	#548	—	53	2	no	—
1490	#547	—	53	1	no	—
1491	#547	—	53	4	no	—
1492	#547	—	53	2	no	—
1493	#547	—	53	2	no	—
1494	#547	—	53	1	no	—
1495	#547	—	53	1	no	—
1496	#547	—	53	2	no	—
1497	#547	—	53	2	no	—
1498	#547	C₂×D₅₃	1	1	yes	characteristic, complemented
1499	#546	—	53	2	no	—
1500	#546	—	53	2	no	—
1501	#546	—	53	2	no	—
1502	#546	—	53	4	no	—
1503	#546	—	53	4	no	—
1504	#546	—	53	4	no	—
1505	#546	—	53	4	no	—
1506	#546	—	53	4	no	—
1507	#546	—	53	2	no	—
1508	#546	—	53	2	no	—
1509	#546	—	53	4	no	—
1510	#546	—	53	2	no	—
1511	#546	—	53	2	no	—
1512	#546	—	53	4	no	—
1513	#546	—	53	4	no	—
1514	#546	—	53	2	no	—
1515	#546	—	53	2	no	—
1516	#546	—	53	4	no	—
1517	#546	—	53	4	no	—
1518	#546	—	53	4	no	—
1519	#546	C₂×D₅₃	1	2	yes	complemented
1520	D₄²	—	53	2	no	—
1521	D₄²	—	53	4	no	—
1522	D₄²	—	53	2	no	—
1523	D₄²	—	53	2	no	—
1524	D₄²	—	53	4	no	—
1525	D₄²	—	53	2	no	—
1526	D₄²	—	53	1	no	—
1527	D₄²	—	53	2	no	—
1528	D₄²	—	53	1	no	—
1529	#544	—	53	2	no	—
1530	#543	—	53	4	no	—
1531	#542	—	53	4	no	—
1532	#542	—	53	2	no	—
1533	#542	—	53	2	no	—
1534	#540	—	53	2	no	—
1535	#540	—	53	4	no	—
1536	#540	—	53	2	no	—
1537	#539	—	53	4	no	—
1538	#539	—	53	4	no	—
1539	#539	—	53	4	no	—
1540	#539	—	53	4	no	—
1541	#539	—	53	4	no	—
1542	#539	—	53	4	no	—
1543	#538	—	53	4	no	—
1544	#538	—	53	4	no	—
1545	#538	—	53	4	no	—
1546	#538	—	53	4	no	—
1547	#538	—	53	4	no	—
1548	#538	—	53	4	no	—
1549	#538	—	53	4	no	—
1550	#538	—	53	4	no	—
1551	#537	—	53	2	no	—
1552	#535	—	53	2	no	—
1553	#535	—	53	2	no	—
1554	#534	—	53	4	no	—
1555	#534	—	53	4	no	—
1556	#534	—	53	4	no	—
1557	#533	—	53	1	no	—
1558	#533	—	53	1	no	—
1559	#533	—	53	1	no	—
1560	#533	—	53	1	no	—
1561	#533	—	53	1	no	—
1562	#533	C₂×D₅₃	1	1	yes	characteristic, complemented
1563	#532	—	53	1	no	—
1564	#532	—	53	1	no	—
1565	#532	—	53	1	no	—
1566	#532	—	53	2	no	—
1567	#532	—	53	1	no	—
1568	#532	—	53	1	no	—
1569	#532	—	53	4	no	—
1570	#532	—	53	1	no	—
1571	#532	—	53	2	no	—
1572	#529	—	53	2	no	—
1573	#529	—	53	2	no	—
1574	#529	—	53	2	no	—
1575	#529	—	53	2	no	—
1576	#529	—	53	2	no	—
1577	#529	—	53	2	no	—
1578	#529	—	53	1	no	—
1579	#529	—	53	1	no	—
1580	#529	—	53	4	no	—
1581	#529	—	53	2	no	—
1582	#529	—	53	2	no	—
1583	#529	—	53	2	no	—
1584	#529	—	53	1	no	—
1585	#529	—	53	1	no	—
1586	#529	—	53	2	no	—
1587	#529	—	53	2	no	—
1588	#529	—	53	4	no	—
1589	#529	—	53	4	no	—
1590	#529	—	53	4	no	—
1591	#529	C₂×D₅₃	1	4	yes	complemented
1592	#529	C₂×D₅₃	1	2	yes	complemented
1593	#525	—	53	1	no	—
1594	#525	—	53	2	no	—
1595	#525	—	53	4	no	—
1596	#525	—	53	2	no	—
1597	#525	—	53	2	no	—
1598	#525	—	53	2	no	—
1599	#525	—	53	2	no	—
1600	#525	—	53	2	no	—
1601	#525	—	53	2	no	—
1602	#525	—	53	4	no	—
1603	#525	—	53	2	no	—
1604	#525	—	53	2	no	—
1605	#525	—	53	4	no	—
1606	#525	—	53	4	no	—
1607	#525	—	53	4	no	—
1608	#525	—	53	4	no	—
1609	#525	—	53	4	no	—
1610	#525	—	53	2	no	—
1611	#525	—	53	1	no	—
1612	#525	—	53	2	no	—
1613	#525	—	53	2	no	—
1614	#525	—	53	4	no	—
1615	#525	—	53	4	no	—
1616	#525	—	53	4	no	—
1617	#525	—	53	4	no	—
1618	#525	—	53	2	no	—
1619	#525	—	53	2	no	—
1620	#525	—	53	2	no	—
1621	#525	—	53	2	no	—
1622	#525	—	53	4	no	—
1623	#525	C₂×D₅₃	1	2	yes	complemented
1624	C₂×#123	—	53	4	no	—
1625	C₂×#123	—	53	4	no	—
1626	C₂×C₂²⋊Q₈	—	53	2	no	—
1627	C₂×C₂²⋊Q₈	—	53	2	no	—
1628	C₂×C₂²⋊Q₈	—	53	2	no	—
1629	C₂×C₂²⋊Q₈	—	53	2	no	—
1630	C₂×#121	—	53	2	no	—
1631	C₂×#121	—	53	2	no	—
1632	C₂×#121	—	53	2	no	—
1633	C₂×#121	—	53	2	no	—
1634	C₂×#120	—	53	4	no	—
1635	C₂×#120	—	53	4	no	—
1636	#520	—	53	2	no	—
1637	#520	—	53	2	no	—
1638	#520	—	53	2	no	—
1639	#520	—	53	2	no	—
1640	#520	—	53	4	no	—
1641	#518	—	53	2	no	—
1642	#518	—	53	2	no	—
1643	#518	—	53	4	no	—
1644	#518	—	53	4	no	—
1645	#518	—	53	4	no	—
1646	#518	—	53	2	no	—
1647	C₄×#41	—	53	2	no	—
1648	C₄×#41	—	53	2	no	—
1649	C₄×#41	—	53	2	no	—
1650	C₄×#41	—	53	2	no	—
1651	C₄×#41	—	53	1	no	—
1652	C₄×#41	—	53	2	no	—
1653	C₄×#41	—	53	4	no	—
1654	C₄×#41	—	53	2	no	—
1655	C₄×#41	C₂×D₅₃	1	1	yes	characteristic, complemented
1656	C₄×#41	C₂×D₅₃	1	2	yes	complemented
1657	C₂×C₄×D₄	—	53	1	no	—
1658	C₂×C₄×D₄	—	53	2	no	—
1659	C₂×C₄×D₄	—	53	1	no	—
1660	C₂×C₄×D₄	—	53	1	no	—
1661	C₂×C₄×D₄	—	53	2	no	—
1662	C₂×C₄×D₄	—	53	1	no	—
1663	C₂×C₄×D₄	—	53	1	no	—
1664	C₂×C₄×D₄	—	53	2	no	—
1665	C₂×C₄×D₄	—	53	1	no	—
1666	C₂×C₄×D₄	—	53	2	no	—
1667	C₂×C₄×D₄	—	53	1	no	—
1668	C₂×C₄×D₄	—	53	1	no	—
1669	C₂×C₄×D₄	—	53	2	no	—
1670	C₂×C₄×D₄	—	53	1	no	—
1671	C₂×C₄×D₄	—	53	2	no	—
1672	C₂×C₄×D₄	—	53	4	no	—
1673	C₂×C₄×D₄	—	53	4	no	—
1674	C₂×C₄×D₄	—	53	4	no	—
1675	C₂×C₄×D₄	—	53	1	no	—
1676	C₂×C₄×D₄	—	53	2	no	—
1677	C₂×C₄×D₄	—	53	1	no	—
1678	C₂×C₄×D₄	—	53	4	no	—
1679	C₂×C₄×D₄	—	53	2	no	—
1680	C₂×C₄×D₄	—	53	4	no	—
1681	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1682	C₂×#117	—	53	2	no	—
1683	C₂×#117	C₂×D₅₃	1	2	yes	complemented
1684	C₂²×C₄⋊C₄	—	53	1	no	—
1685	C₂²×C₂²⋊C₄	—	53	2	no	—
1686	C₂²×C₄²	—	53	1	no	—
1687	C₅₃	#62773	1	1	yes	characteristic, complemented, Sylow
1688	C₂⁵	—	53	2	no	—
1689	H(5,𝔽₂)	—	106	16	no	—
1690	C₂×#41	—	53	2	no	—
1691	C₂×#41	—	53	2	no	—
1692	C₂×#41	—	53	2	no	—
1693	C₂×#41	—	53	2	no	—
1694	C₂×#41	—	53	4	no	—
1695	C₂×#41	—	53	2	no	—
1696	C₂×#41	—	53	2	no	—
1697	C₂×#41	—	53	4	no	—
1698	C₂×#41	—	53	2	no	—
1699	C₂×#41	—	53	1	no	—
1700	C₂×#41	—	53	2	no	—
1701	C₂×#41	—	53	4	no	—
1702	C₂×#41	—	53	4	no	—
1703	C₂×#41	—	53	4	no	—
1704	C₂×#41	—	53	2	no	—
1705	C₂×#41	—	53	2	no	—
1706	C₂×#41	—	212	8	no	—
1707	C₂×#41	—	212	8	no	—
1708	C₂×#41	C₂²×D₅₃	1	2	yes	—
1709	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1710	C₂²×Q₈	—	53	2	no	—
1711	C₂²×Q₈	—	53	2	no	—
1712	C₂²×D₄	—	53	1	no	—
1713	C₂²×D₄	—	53	2	no	—
1714	C₂²×D₄	—	53	4	no	—
1715	C₂²×D₄	—	53	2	no	—
1716	C₂²×D₄	—	53	1	no	—
1717	C₂²×D₄	—	53	2	no	—
1718	C₂²×D₄	—	53	1	no	—
1719	C₂²×D₄	—	53	1	no	—
1720	C₂²×D₄	—	53	4	no	—
1721	C₂²×D₄	—	53	4	no	—
1722	C₂²×D₄	—	53	2	no	—
1723	C₂²×D₄	—	53	4	no	—
1724	C₂²×D₄	—	53	4	no	—
1725	C₂²×D₄	—	53	2	no	—
1726	C₂²×D₄	—	53	1	no	—
1727	C₂²×D₄	—	53	4	no	—
1728	C₂²×D₄	—	53	2	no	—
1729	C₂²×D₄	—	53	4	no	—
1730	C₂²×D₄	—	53	2	no	—
1731	C₂²×D₄	—	106	8	no	—
1732	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1733	C₂³×C₄	—	53	2	no	—
1734	C₂³×C₄	—	53	1	no	—
1735	C₂³×C₄	—	53	2	no	—
1736	C₂³×C₄	—	53	1	no	—
1737	C₂³×C₄	—	53	1	no	—
1738	C₂³×C₄	—	53	2	no	—
1739	C₂³×C₄	—	53	2	no	—
1740	C₂³×C₄	—	53	2	no	—
1741	C₂³×C₄	—	53	2	no	—
1742	C₂³×C₄	—	53	4	no	—
1743	C₂³×C₄	—	53	4	no	—
1744	C₂³×C₄	—	53	2	no	—
1745	C₂³×C₄	—	53	2	no	—
1746	C₂³×C₄	—	53	2	no	—
1747	C₂³×C₄	—	53	2	no	—
1748	C₂³×C₄	—	53	2	no	—
1749	C₂³×C₄	—	53	2	no	—
1750	C₂³×C₄	—	212	8	no	—
1751	C₂³×C₄	C₂²×D₅₃	1	2	yes	—
1752	C₄⋊Q₈	—	53	1	no	—
1753	C₄⋊Q₈	—	53	1	no	—
1754	C₄⋊Q₈	—	53	1	no	—
1755	C₄⋊Q₈	—	53	4	no	—
1756	C₄⋊Q₈	—	53	2	no	—
1757	C₄⋊Q₈	—	53	1	no	—
1758	C₄⋊Q₈	—	53	2	no	—
1759	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1760	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1761	#127	—	53	1	no	—
1762	#127	—	53	4	no	—
1763	#127	—	53	2	no	—
1764	#127	—	53	1	no	—
1765	#127	—	53	2	no	—
1766	#126	—	53	2	no	—
1767	#126	—	53	4	no	—
1768	#126	—	53	2	no	—
1769	#126	—	53	4	no	—
1770	#126	—	53	4	no	—
1771	#126	—	53	4	no	—
1772	#126	—	53	4	no	—
1773	#126	—	53	4	no	—
1774	#126	—	53	4	no	—
1775	#126	—	53	2	no	—
1776	#126	—	53	2	no	—
1777	#126	—	53	4	no	—
1778	#126	—	53	4	no	—
1779	#126	—	53	4	no	—
1780	#126	—	53	4	no	—
1781	#126	C₂²×D₅₃	1	4	yes	complemented
1782	#126	C₂²×D₅₃	1	4	yes	complemented
1783	#126	C₂²×D₅₃	1	4	yes	complemented
1784	#125	—	53	2	no	—
1785	#125	—	53	2	no	—
1786	#125	—	53	1	no	—
1787	#125	—	53	1	no	—
1788	#125	—	53	2	no	—
1789	#125	—	53	2	no	—
1790	#125	—	53	4	no	—
1791	#125	—	53	4	no	—
1792	#125	—	53	4	no	—
1793	#125	—	53	2	no	—
1794	#125	—	53	4	no	—
1795	#125	C₂²×D₅₃	1	2	yes	complemented
1796	#125	C₂²×D₅₃	1	4	yes	complemented
1797	#125	C₂²×D₅₃	1	2	yes	complemented
1798	#124	—	53	2	no	—
1799	#124	—	53	1	no	—
1800	#124	—	53	2	no	—
1801	#124	—	53	2	no	—
1802	#124	—	53	4	no	—
1803	#124	—	53	1	no	—
1804	#124	—	53	2	no	—
1805	#124	—	53	2	no	—
1806	#124	—	53	4	no	—
1807	#124	—	53	4	no	—
1808	#124	—	53	4	no	—
1809	#124	—	53	4	no	—
1810	#124	—	53	4	no	—
1811	#124	—	53	2	no	—
1812	#124	—	53	4	no	—
1813	#124	—	53	4	no	—
1814	#124	C₂²×D₅₃	1	2	yes	—
1815	#124	C₂²×D₅₃	1	4	yes	complemented
1816	#123	—	53	2	no	—
1817	#123	—	53	4	no	—
1818	#123	—	53	4	no	—
1819	#123	—	53	4	no	—
1820	#123	—	53	4	no	—
1821	#123	—	53	4	no	—
1822	#123	—	53	4	no	—
1823	#123	—	53	2	no	—
1824	#123	—	53	2	no	—
1825	#123	—	53	4	no	—
1826	#123	—	53	4	no	—
1827	#123	—	53	4	no	—
1828	#123	—	53	4	no	—
1829	#123	—	53	4	no	—
1830	#123	—	53	4	no	—
1831	#123	—	53	4	no	—
1832	#123	—	53	4	no	—
1833	#123	—	53	4	no	—
1834	#123	—	53	4	no	—
1835	#123	—	53	2	no	—
1836	#123	—	53	4	no	—
1837	#123	—	53	4	no	—
1838	#123	—	53	4	no	—
1839	#123	—	53	4	no	—
1840	#123	—	53	4	no	—
1841	#123	—	53	4	no	—
1842	#123	—	53	4	no	—
1843	#123	—	53	4	no	—
1844	#123	—	53	2	no	—
1845	#123	—	53	2	no	—
1846	#123	—	53	4	no	—
1847	#123	—	53	4	no	—
1848	#123	—	53	4	no	—
1849	#123	—	53	4	no	—
1850	#123	—	53	4	no	—
1851	#123	—	53	4	no	—
1852	#123	—	53	4	no	—
1853	#123	C₂²×D₅₃	1	4	yes	—
1854	#123	C₂²×D₅₃	1	4	yes	—
1855	#123	C₂²×D₅₃	1	4	yes	complemented
1856	#123	C₂²×D₅₃	1	4	yes	complemented
1857	C₂²⋊Q₈	—	53	1	no	—
1858	C₂²⋊Q₈	—	53	1	no	—
1859	C₂²⋊Q₈	—	53	2	no	—
1860	C₂²⋊Q₈	—	53	2	no	—
1861	C₂²⋊Q₈	—	53	2	no	—
1862	C₂²⋊Q₈	—	53	4	no	—
1863	C₂²⋊Q₈	—	53	2	no	—
1864	C₂²⋊Q₈	—	53	2	no	—
1865	C₂²⋊Q₈	—	53	4	no	—
1866	C₂²⋊Q₈	—	53	2	no	—
1867	C₂²⋊Q₈	—	53	2	no	—
1868	C₂²⋊Q₈	—	53	1	no	—
1869	C₂²⋊Q₈	—	53	1	no	—
1870	C₂²⋊Q₈	—	53	4	no	—
1871	C₂²⋊Q₈	—	53	4	no	—
1872	C₂²⋊Q₈	—	53	4	no	—
1873	C₂²⋊Q₈	—	53	2	no	—
1874	C₂²⋊Q₈	—	53	2	no	—
1875	C₂²⋊Q₈	—	53	2	no	—
1876	C₂²⋊Q₈	—	53	2	no	—
1877	C₂²⋊Q₈	—	53	4	no	—
1878	C₂²⋊Q₈	—	53	4	no	—
1879	C₂²⋊Q₈	—	53	4	no	—
1880	C₂²⋊Q₈	—	53	2	no	—
1881	C₂²⋊Q₈	—	53	2	no	—
1882	C₂²⋊Q₈	—	53	4	no	—
1883	C₂²⋊Q₈	—	53	4	no	—
1884	C₂²⋊Q₈	—	53	4	no	—
1885	C₂²⋊Q₈	—	53	4	no	—
1886	C₂²⋊Q₈	—	53	4	no	—
1887	C₂²⋊Q₈	—	53	4	no	—
1888	C₂²⋊Q₈	—	53	4	no	—
1889	C₂²⋊Q₈	—	53	4	no	—
1890	C₂²⋊Q₈	—	53	4	no	—
1891	C₂²⋊Q₈	—	53	2	no	—
1892	C₂²⋊Q₈	—	53	2	no	—
1893	C₂²⋊Q₈	—	53	4	no	—
1894	C₂²⋊Q₈	—	53	4	no	—
1895	C₂²⋊Q₈	—	53	4	no	—
1896	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1897	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1898	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1899	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1900	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1901	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1902	#121	—	53	1	no	—
1903	#121	—	53	1	no	—
1904	#121	—	53	4	no	—
1905	#121	—	53	4	no	—
1906	#121	—	53	2	no	—
1907	#121	—	53	2	no	—
1908	#121	—	53	4	no	—
1909	#121	—	53	4	no	—
1910	#121	—	53	4	no	—
1911	#121	—	53	2	no	—
1912	#121	—	53	4	no	—
1913	#121	—	53	2	no	—
1914	#121	—	53	2	no	—
1915	#121	—	53	2	no	—
1916	#121	—	53	2	no	—
1917	#121	—	53	4	no	—
1918	#121	—	53	2	no	—
1919	#121	—	53	2	no	—
1920	#121	—	53	4	no	—
1921	#121	—	53	2	no	—
1922	#121	—	53	2	no	—
1923	#121	—	53	1	no	—
1924	#121	—	53	1	no	—
1925	#121	—	53	4	no	—
1926	#121	—	53	4	no	—
1927	#121	—	53	2	no	—
1928	#121	—	53	2	no	—
1929	#121	—	53	4	no	—
1930	#121	—	53	4	no	—
1931	#121	—	53	2	no	—
1932	#121	—	53	2	no	—
1933	#121	—	53	2	no	—
1934	#121	—	53	2	no	—
1935	#121	—	53	4	no	—
1936	#121	—	53	4	no	—
1937	#121	—	53	4	no	—
1938	#121	—	53	2	no	—
1939	#121	—	53	2	no	—
1940	#121	—	53	4	no	—
1941	#121	—	53	4	no	—
1942	#121	—	53	4	no	—
1943	#121	—	53	2	no	—
1944	#121	—	53	2	no	—
1945	#121	—	53	4	no	—
1946	#121	—	53	4	no	—
1947	#121	—	53	4	no	—
1948	#121	—	53	4	no	—
1949	#121	—	53	4	no	—
1950	#121	—	53	4	no	—
1951	#121	—	53	4	no	—
1952	#121	—	53	4	no	—
1953	#121	C₂²×D₅₃	1	4	yes	—
1954	#121	C₂²×D₅₃	1	2	yes	—
1955	#121	C₂²×D₅₃	1	2	yes	complemented
1956	#121	C₂²×D₅₃	1	2	yes	complemented
1957	#120	—	53	4	no	—
1958	#120	—	53	2	no	—
1959	#120	—	53	4	no	—
1960	#120	—	53	4	no	—
1961	#120	—	53	4	no	—
1962	#120	—	53	4	no	—
1963	#120	—	53	4	no	—
1964	#120	—	53	4	no	—
1965	#120	—	53	2	no	—
1966	#120	—	53	4	no	—
1967	#120	—	53	4	no	—
1968	#120	—	53	4	no	—
1969	#120	—	53	4	no	—
1970	#120	—	53	4	no	—
1971	#120	—	53	4	no	—
1972	#120	—	53	4	no	—
1973	#120	—	53	4	no	—
1974	#120	—	53	4	no	—
1975	#120	—	53	4	no	—
1976	#120	—	53	4	no	—
1977	#120	—	53	4	no	—
1978	#120	—	53	4	no	—
1979	#120	C₂²×D₅₃	1	4	yes	—
1980	C₄×Q₈	—	53	2	no	—
1981	C₄×Q₈	—	53	2	no	—
1982	C₄×Q₈	—	53	2	no	—
1983	C₄×Q₈	—	53	2	no	—
1984	C₄×Q₈	—	53	2	no	—
1985	C₄×Q₈	—	53	2	no	—
1986	C₄×Q₈	—	53	2	no	—
1987	C₄×Q₈	—	53	4	no	—
1988	C₄×Q₈	—	53	2	no	—
1989	C₄×Q₈	—	53	1	no	—
1990	C₄×Q₈	—	53	1	no	—
1991	C₄×Q₈	—	53	2	no	—
1992	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1993	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1994	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1995	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1996	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1997	C₄×D₄	—	53	1	no	—
1998	C₄×D₄	—	53	2	no	—
1999	C₄×D₄	—	53	1	no	—
2000	C₄×D₄	—	53	1	no	—
2001	C₄×D₄	—	53	2	no	—
2002	C₄×D₄	—	53	1	no	—
2003	C₄×D₄	—	53	4	no	—
2004	C₄×D₄	—	53	2	no	—
2005	C₄×D₄	—	53	4	no	—
2006	C₄×D₄	—	53	4	no	—
2007	C₄×D₄	—	53	2	no	—
2008	C₄×D₄	—	53	2	no	—
2009	C₄×D₄	—	53	2	no	—
2010	C₄×D₄	—	53	2	no	—
2011	C₄×D₄	—	53	2	no	—
2012	C₄×D₄	—	53	2	no	—
2013	C₄×D₄	—	53	2	no	—
2014	C₄×D₄	—	53	2	no	—
2015	C₄×D₄	—	53	2	no	—
2016	C₄×D₄	—	53	2	no	—
2017	C₄×D₄	—	53	4	no	—
2018	C₄×D₄	—	53	2	no	—
2019	C₄×D₄	—	53	4	no	—
2020	C₄×D₄	—	53	2	no	—
2021	C₄×D₄	—	53	2	no	—
2022	C₄×D₄	—	53	4	no	—
2023	C₄×D₄	—	53	4	no	—
2024	C₄×D₄	—	53	2	no	—
2025	C₄×D₄	—	53	2	no	—
2026	C₄×D₄	—	53	2	no	—
2027	C₄×D₄	—	53	2	no	—
2028	C₄×D₄	—	53	2	no	—
2029	C₄×D₄	—	53	1	no	—
2030	C₄×D₄	—	53	2	no	—
2031	C₄×D₄	—	53	1	no	—
2032	C₄×D₄	—	53	1	no	—
2033	C₄×D₄	—	53	2	no	—
2034	C₄×D₄	—	53	1	no	—
2035	C₄×D₄	—	53	4	no	—
2036	C₄×D₄	—	53	4	no	—
2037	C₄×D₄	—	53	2	no	—
2038	C₄×D₄	—	53	4	no	—
2039	C₄×D₄	—	53	4	no	—
2040	C₄×D₄	—	53	2	no	—
2041	C₄×D₄	—	53	2	no	—
2042	C₄×D₄	—	53	4	no	—
2043	C₄×D₄	—	53	4	no	—
2044	C₄×D₄	—	53	2	no	—
2045	C₄×D₄	—	53	2	no	—
2046	C₄×D₄	—	53	2	no	—
2047	C₄×D₄	—	53	2	no	—
2048	C₄×D₄	—	53	2	no	—
2049	C₄×D₄	—	53	2	no	—
2050	C₄×D₄	—	53	2	no	—
2051	C₄×D₄	—	53	2	no	—
2052	C₄×D₄	—	53	2	no	—
2053	C₄×D₄	—	53	2	no	—
2054	C₄×D₄	—	53	2	no	—
2055	C₄×D₄	—	53	4	no	—
2056	C₄×D₄	—	53	4	no	—
2057	C₄×D₄	—	53	4	no	—
2058	C₄×D₄	—	53	4	no	—
2059	C₄×D₄	—	53	4	no	—
2060	C₄×D₄	—	53	4	no	—
2061	C₄×D₄	—	53	4	no	—
2062	C₄×D₄	—	53	4	no	—
2063	C₄×D₄	—	53	4	no	—
2064	C₄×D₄	—	53	1	no	—
2065	C₄×D₄	—	53	2	no	—
2066	C₄×D₄	—	53	1	no	—
2067	C₄×D₄	—	53	1	no	—
2068	C₄×D₄	—	53	2	no	—
2069	C₄×D₄	—	53	1	no	—
2070	C₄×D₄	—	53	4	no	—
2071	C₄×D₄	—	53	4	no	—
2072	C₄×D₄	—	53	2	no	—
2073	C₄×D₄	—	53	2	no	—
2074	C₄×D₄	—	53	4	no	—
2075	C₄×D₄	—	53	4	no	—
2076	C₄×D₄	—	53	2	no	—
2077	C₄×D₄	—	53	4	no	—
2078	C₄×D₄	—	53	4	no	—
2079	C₄×D₄	—	53	4	no	—
2080	C₄×D₄	—	53	4	no	—
2081	C₄×D₄	—	53	2	no	—
2082	C₄×D₄	—	53	4	no	—
2083	C₄×D₄	—	53	2	no	—
2084	C₄×D₄	—	53	4	no	—
2085	C₄×D₄	—	53	4	no	—
2086	C₄×D₄	—	53	4	no	—
2087	C₄×D₄	—	53	4	no	—
2088	C₄×D₄	—	53	4	no	—
2089	C₄×D₄	—	53	4	no	—
2090	C₄×D₄	—	53	2	no	—
2091	C₄×D₄	—	53	4	no	—
2092	C₄×D₄	—	53	2	no	—
2093	C₄×D₄	—	53	2	no	—
2094	C₄×D₄	—	53	1	no	—
2095	C₄×D₄	—	53	1	no	—
2096	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2097	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2098	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2099	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2100	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2101	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2102	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2103	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2104	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2105	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2106	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2107	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2108	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2109	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2110	#117	—	53	1	no	—
2111	#117	—	53	2	no	—
2112	#117	—	53	4	no	—
2113	#117	—	53	2	no	—
2114	#117	—	53	2	no	—
2115	#117	—	53	2	no	—
2116	#117	—	53	2	no	—
2117	#117	—	53	4	no	—
2118	#117	—	53	4	no	—
2119	#117	—	53	2	no	—
2120	#117	—	53	2	no	—
2121	#117	—	53	4	no	—
2122	#117	—	53	4	no	—
2123	#117	—	53	4	no	—
2124	#117	—	53	2	no	—
2125	#117	—	53	2	no	—
2126	#117	—	53	4	no	—
2127	#117	—	53	4	no	—
2128	#117	—	53	2	no	—
2129	#117	—	53	4	no	—
2130	#117	—	53	2	no	—
2131	#117	—	53	2	no	—
2132	#117	C₂²×D₅₃	1	2	yes	—
2133	#117	C₂²×D₅₃	1	1	yes	characteristic
2134	#117	C₂²×D₅₃	1	4	yes	—
2135	#117	C₂²×D₅₃	1	4	yes	complemented
2136	#117	C₂²×D₅₃	1	2	yes	complemented
2137	#117	C₂²×D₅₃	1	2	yes	complemented
2138	#117	C₂²×D₅₃	1	4	yes	complemented
2139	#117	C₂²×D₅₃	1	2	yes	complemented
2140	#117	C₂²×D₅₃	1	2	yes	complemented
2141	C₂×C₄⋊C₄	—	53	2	no	—
2142	C₂×C₄⋊C₄	—	53	1	no	—
2143	C₂×C₄⋊C₄	—	53	4	no	—
2144	C₂×C₄⋊C₄	—	53	2	no	—
2145	C₂×C₄⋊C₄	—	53	4	no	—
2146	C₂×C₄⋊C₄	—	53	1	no	—
2147	C₂×C₄⋊C₄	—	53	1	no	—
2148	C₂×C₄⋊C₄	—	53	2	no	—
2149	C₂×C₄⋊C₄	—	53	2	no	—
2150	C₂×C₄⋊C₄	—	53	1	no	—
2151	C₂×C₄⋊C₄	—	53	1	no	—
2152	C₂×C₄⋊C₄	—	53	2	no	—
2153	C₂×C₄⋊C₄	—	53	2	no	—
2154	C₂×C₄⋊C₄	—	53	4	no	—
2155	C₂×C₄⋊C₄	—	53	4	no	—
2156	C₂×C₄⋊C₄	—	53	2	no	—
2157	C₂×C₄⋊C₄	—	53	4	no	—
2158	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2159	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2160	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2161	C₂×C₂²⋊C₄	—	53	2	no	—
2162	C₂×C₂²⋊C₄	—	53	2	no	—
2163	C₂×C₂²⋊C₄	—	53	2	no	—
2164	C₂×C₂²⋊C₄	—	53	4	no	—
2165	C₂×C₂²⋊C₄	—	53	4	no	—
2166	C₂×C₂²⋊C₄	—	53	4	no	—
2167	C₂×C₂²⋊C₄	—	53	4	no	—
2168	C₂×C₂²⋊C₄	—	53	4	no	—
2169	C₂×C₂²⋊C₄	—	53	2	no	—
2170	C₂×C₂²⋊C₄	—	53	2	no	—
2171	C₂×C₂²⋊C₄	—	53	2	no	—
2172	C₂×C₂²⋊C₄	—	53	2	no	—
2173	C₂×C₂²⋊C₄	—	53	2	no	—
2174	C₂×C₂²⋊C₄	—	53	2	no	—
2175	C₂×C₂²⋊C₄	—	53	2	no	—
2176	C₂×C₂²⋊C₄	—	53	2	no	—
2177	C₂×C₂²⋊C₄	—	53	4	no	—
2178	C₂×C₂²⋊C₄	—	53	4	no	—
2179	C₂×C₂²⋊C₄	—	53	4	no	—
2180	C₂×C₂²⋊C₄	—	53	4	no	—
2181	C₂×C₂²⋊C₄	—	53	4	no	—
2182	C₂×C₂²⋊C₄	—	53	4	no	—
2183	C₂×C₂²⋊C₄	—	53	4	no	—
2184	C₂×C₂²⋊C₄	—	53	4	no	—
2185	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2186	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	—
2187	C₂×C₄²	—	53	1	no	—
2188	C₂×C₄²	—	53	1	no	—
2189	C₂×C₄²	—	53	1	no	—
2190	C₂×C₄²	—	53	4	no	—
2191	C₂×C₄²	—	53	1	no	—
2192	C₂×C₄²	—	53	1	no	—
2193	C₂×C₄²	—	53	1	no	—
2194	C₂×C₄²	—	53	1	no	—
2195	C₂×C₄²	—	53	1	no	—
2196	C₂×C₄²	—	53	1	no	—
2197	C₂×C₄²	—	53	1	no	—
2198	C₂×C₄²	—	53	1	no	—
2199	C₂×C₄²	—	53	4	no	—
2200	C₂×C₄²	—	53	2	no	—
2201	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
2202	C₂×C₄²	C₂²×D₅₃	1	4	yes	complemented
2203	C₂×C₄²	C₂²×D₅₃	1	2	yes	complemented
2204	C₂⁴	—	53	2	no	—
2205	C₂⁴	—	53	1	no	—
2206	C₂⁴	—	53	2	no	—
2207	C₂⁴	—	53	2	no	—
2208	C₂⁴	—	53	2	no	—
2209	C₂⁴	—	53	4	no	—
2210	C₂⁴	—	53	4	no	—
2211	C₂⁴	—	53	2	no	—
2212	C₂⁴	—	106	8	no	—
2213	C₂⁴	—	212	4	no	—
2214	C₂⁴	—	212	4	no	—
2215	C₂⁴	C₂³×D₅₃	1	2	yes	—
2216	#41	—	2	8	no	—
2217	#41	—	2	4	no	—
2218	#41	—	106	8	no	—
2219	#41	—	106	16	no	—
2220	#41	—	106	8	no	—
2221	#41	—	106	8	no	—
2222	#41	—	106	8	no	—
2223	#41	—	106	4	no	—
2224	#41	—	212	8	no	—
2225	#41	—	212	8	no	—
2226	#41	—	212	8	no	—
2227	#41	—	212	4	no	—
2228	#41	—	212	4	no	—
2229	#41	—	212	4	no	—
2230	#41	—	212	8	no	—
2231	#41	—	212	4	no	—
2232	#41	—	212	4	no	—
2233	#41	—	212	4	no	—
2234	C₂×Q₈	—	53	2	no	—
2235	C₂×Q₈	—	53	2	no	—
2236	C₂×Q₈	—	53	1	no	—
2237	C₂×Q₈	—	53	2	no	—
2238	C₂×Q₈	—	53	4	no	—
2239	C₂×Q₈	—	53	4	no	—
2240	C₂×Q₈	—	212	4	no	—
2241	C₂×Q₈	—	212	4	no	—
2242	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2243	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2244	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2245	C₂×D₄	—	2	4	no	—
2246	C₂×D₄	—	53	2	no	—
2247	C₂×D₄	—	53	8	no	—
2248	C₂×D₄	—	53	2	no	—
2249	C₂×D₄	—	53	2	no	—
2250	C₂×D₄	—	53	4	no	—
2251	C₂×D₄	—	53	2	no	—
2252	C₂×D₄	—	53	2	no	—
2253	C₂×D₄	—	53	2	no	—
2254	C₂×D₄	—	53	2	no	—
2255	C₂×D₄	—	53	4	no	—
2256	C₂×D₄	—	53	2	no	—
2257	C₂×D₄	—	53	2	no	—
2258	C₂×D₄	—	53	4	no	—
2259	C₂×D₄	—	53	4	no	—
2260	C₂×D₄	—	53	4	no	—
2261	C₂×D₄	—	53	4	no	—
2262	C₂×D₄	—	53	4	no	—
2263	C₂×D₄	—	53	1	no	—
2264	C₂×D₄	—	53	4	no	—
2265	C₂×D₄	—	53	4	no	—
2266	C₂×D₄	—	53	4	no	—
2267	C₂×D₄	—	53	2	no	—
2268	C₂×D₄	—	53	4	no	—
2269	C₂×D₄	—	53	2	no	—
2270	C₂×D₄	—	53	2	no	—
2271	C₂×D₄	—	53	1	no	—
2272	C₂×D₄	—	53	2	no	—
2273	C₂×D₄	—	53	2	no	—
2274	C₂×D₄	—	53	1	no	—
2275	C₂×D₄	—	53	2	no	—
2276	C₂×D₄	—	53	4	no	—
2277	C₂×D₄	—	53	4	no	—
2278	C₂×D₄	—	53	4	no	—
2279	C₂×D₄	—	53	4	no	—
2280	C₂×D₄	—	106	4	no	—
2281	C₂×D₄	—	106	8	no	—
2282	C₂×D₄	—	106	16	no	—
2283	C₂×D₄	—	106	4	no	—
2284	C₂×D₄	—	106	8	no	—
2285	C₂×D₄	—	106	4	no	—
2286	C₂×D₄	—	106	16	no	—
2287	C₂×D₄	—	106	8	no	—
2288	C₂×D₄	—	106	16	no	—
2289	C₂×D₄	—	106	8	no	—
2290	C₂×D₄	—	106	4	no	—
2291	C₂×D₄	—	106	8	no	—
2292	C₂×D₄	—	212	4	no	—
2293	C₂×D₄	—	212	8	no	—
2294	C₂×D₄	—	212	4	no	—
2295	C₂×D₄	—	212	8	no	—
2296	C₂×D₄	—	212	8	no	—
2297	C₂×D₄	—	212	8	no	—
2298	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2299	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2300	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2301	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2302	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2303	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2304	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2305	C₂²×C₄	—	2	8	no	—
2306	C₂²×C₄	—	53	1	no	—
2307	C₂²×C₄	—	53	1	no	—
2308	C₂²×C₄	—	53	1	no	—
2309	C₂²×C₄	—	53	2	no	—
2310	C₂²×C₄	—	53	1	no	—
2311	C₂²×C₄	—	53	2	no	—
2312	C₂²×C₄	—	53	2	no	—
2313	C₂²×C₄	—	53	4	no	—
2314	C₂²×C₄	—	53	4	no	—
2315	C₂²×C₄	—	53	2	no	—
2316	C₂²×C₄	—	53	2	no	—
2317	C₂²×C₄	—	53	1	no	—
2318	C₂²×C₄	—	53	1	no	—
2319	C₂²×C₄	—	53	1	no	—
2320	C₂²×C₄	—	53	1	no	—
2321	C₂²×C₄	—	53	1	no	—
2322	C₂²×C₄	—	53	1	no	—
2323	C₂²×C₄	—	53	1	no	—
2324	C₂²×C₄	—	53	4	no	—
2325	C₂²×C₄	—	53	4	no	—
2326	C₂²×C₄	—	53	2	no	—
2327	C₂²×C₄	—	53	2	no	—
2328	C₂²×C₄	—	53	2	no	—
2329	C₂²×C₄	—	53	1	no	—
2330	C₂²×C₄	—	53	1	no	—
2331	C₂²×C₄	—	53	2	no	—
2332	C₂²×C₄	—	53	4	no	—
2333	C₂²×C₄	—	53	2	no	—
2334	C₂²×C₄	—	53	2	no	—
2335	C₂²×C₄	—	53	1	no	—
2336	C₂²×C₄	—	53	1	no	—
2337	C₂²×C₄	—	53	4	no	—
2338	C₂²×C₄	—	53	4	no	—
2339	C₂²×C₄	—	53	2	no	—
2340	C₂²×C₄	—	53	2	no	—
2341	C₂²×C₄	—	53	2	no	—
2342	C₂²×C₄	—	53	2	no	—
2343	C₂²×C₄	—	53	2	no	—
2344	C₂²×C₄	—	53	2	no	—
2345	C₂²×C₄	—	53	4	no	—
2346	C₂²×C₄	—	53	2	no	—
2347	C₂²×C₄	—	53	4	no	—
2348	C₂²×C₄	—	53	4	no	—
2349	C₂²×C₄	—	53	4	no	—
2350	C₂²×C₄	—	53	2	no	—
2351	C₂²×C₄	—	53	2	no	—
2352	C₂²×C₄	—	106	4	no	—
2353	C₂²×C₄	—	106	4	no	—
2354	C₂²×C₄	—	106	8	no	—
2355	C₂²×C₄	—	212	4	no	—
2356	C₂²×C₄	—	212	4	no	—
2357	C₂²×C₄	—	212	4	no	—
2358	C₂²×C₄	—	212	4	no	—
2359	C₂²×C₄	—	212	4	no	—
2360	C₂²×C₄	—	212	4	no	—
2361	C₂²×C₄	—	212	4	no	—
2362	C₂²×C₄	—	212	4	no	—
2363	C₂²×C₄	—	212	8	no	—
2364	C₂²×C₄	—	212	8	no	—
2365	C₂²×C₄	—	212	4	no	—
2366	C₂²×C₄	—	212	4	no	—
2367	C₂²×C₄	—	212	2	no	—
2368	C₂²×C₄	—	212	4	no	—
2369	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2370	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2371	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2372	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2373	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2374	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2375	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2376	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2377	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2378	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2379	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2380	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2381	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2382	C₄⋊C₄	—	53	2	no	—
2383	C₄⋊C₄	—	53	1	no	—
2384	C₄⋊C₄	—	53	2	no	—
2385	C₄⋊C₄	—	53	1	no	—
2386	C₄⋊C₄	—	53	2	no	—
2387	C₄⋊C₄	—	53	2	no	—
2388	C₄⋊C₄	—	53	2	no	—
2389	C₄⋊C₄	—	53	1	no	—
2390	C₄⋊C₄	—	53	1	no	—
2391	C₄⋊C₄	—	53	2	no	—
2392	C₄⋊C₄	—	53	2	no	—
2393	C₄⋊C₄	—	53	2	no	—
2394	C₄⋊C₄	—	53	2	no	—
2395	C₄⋊C₄	—	53	4	no	—
2396	C₄⋊C₄	—	53	4	no	—
2397	C₄⋊C₄	—	53	4	no	—
2398	C₄⋊C₄	—	53	4	no	—
2399	C₄⋊C₄	—	53	2	no	—
2400	C₄⋊C₄	—	53	4	no	—
2401	C₄⋊C₄	—	53	2	no	—
2402	C₄⋊C₄	—	53	4	no	—
2403	C₄⋊C₄	—	53	4	no	—
2404	C₄⋊C₄	—	53	4	no	—
2405	C₄⋊C₄	—	53	4	no	—
2406	C₄⋊C₄	—	53	4	no	—
2407	C₄⋊C₄	—	53	2	no	—
2408	C₄⋊C₄	—	53	2	no	—
2409	C₄⋊C₄	—	53	2	no	—
2410	C₄⋊C₄	—	53	4	no	—
2411	C₄⋊C₄	—	53	2	no	—
2412	C₄⋊C₄	—	53	2	no	—
2413	C₄⋊C₄	—	53	4	no	—
2414	C₄⋊C₄	—	53	2	no	—
2415	C₄⋊C₄	—	53	2	no	—
2416	C₄⋊C₄	—	53	2	no	—
2417	C₄⋊C₄	—	53	2	no	—
2418	C₄⋊C₄	—	53	2	no	—
2419	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2420	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2421	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2422	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2423	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2424	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2425	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2426	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2427	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2428	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2429	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2430	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2431	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2432	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2433	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2434	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2435	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2436	C₂²⋊C₄	—	53	2	no	—
2437	C₂²⋊C₄	—	53	2	no	—
2438	C₂²⋊C₄	—	53	2	no	—
2439	C₂²⋊C₄	—	53	2	no	—
2440	C₂²⋊C₄	—	53	2	no	—
2441	C₂²⋊C₄	—	53	4	no	—
2442	C₂²⋊C₄	—	53	2	no	—
2443	C₂²⋊C₄	—	53	2	no	—
2444	C₂²⋊C₄	—	53	2	no	—
2445	C₂²⋊C₄	—	53	4	no	—
2446	C₂²⋊C₄	—	53	2	no	—
2447	C₂²⋊C₄	—	53	2	no	—
2448	C₂²⋊C₄	—	53	2	no	—
2449	C₂²⋊C₄	—	53	2	no	—
2450	C₂²⋊C₄	—	53	2	no	—
2451	C₂²⋊C₄	—	53	2	no	—
2452	C₂²⋊C₄	—	53	2	no	—
2453	C₂²⋊C₄	—	53	2	no	—
2454	C₂²⋊C₄	—	53	2	no	—
2455	C₂²⋊C₄	—	53	2	no	—
2456	C₂²⋊C₄	—	53	2	no	—
2457	C₂²⋊C₄	—	53	4	no	—
2458	C₂²⋊C₄	—	53	4	no	—
2459	C₂²⋊C₄	—	53	4	no	—
2460	C₂²⋊C₄	—	53	2	no	—
2461	C₂²⋊C₄	—	53	4	no	—
2462	C₂²⋊C₄	—	53	2	no	—
2463	C₂²⋊C₄	—	53	4	no	—
2464	C₂²⋊C₄	—	53	4	no	—
2465	C₂²⋊C₄	—	53	4	no	—
2466	C₂²⋊C₄	—	53	4	no	—
2467	C₂²⋊C₄	—	53	2	no	—
2468	C₂²⋊C₄	—	53	4	no	—
2469	C₂²⋊C₄	—	53	2	no	—
2470	C₂²⋊C₄	—	53	2	no	—
2471	C₂²⋊C₄	—	53	4	no	—
2472	C₂²⋊C₄	—	53	4	no	—
2473	C₂²⋊C₄	—	53	4	no	—
2474	C₂²⋊C₄	—	53	4	no	—
2475	C₂²⋊C₄	—	53	4	no	—
2476	C₂²⋊C₄	—	53	4	no	—
2477	C₂²⋊C₄	—	53	4	no	—
2478	C₂²⋊C₄	—	53	4	no	—
2479	C₂²⋊C₄	—	53	2	no	—
2480	C₂²⋊C₄	—	53	4	no	—
2481	C₂²⋊C₄	—	53	2	no	—
2482	C₂²⋊C₄	—	53	4	no	—
2483	C₂²⋊C₄	—	53	4	no	—
2484	C₂²⋊C₄	—	53	2	no	—
2485	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2486	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2487	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2488	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2489	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2490	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2491	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2492	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2493	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2494	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2495	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2496	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2497	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2498	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2499	C₄²	—	53	1	no	—
2500	C₄²	—	53	1	no	—
2501	C₄²	—	53	1	no	—
2502	C₄²	—	53	1	no	—
2503	C₄²	—	53	1	no	—
2504	C₄²	—	53	1	no	—
2505	C₄²	—	53	1	no	—
2506	C₄²	—	53	1	no	—
2507	C₄²	—	53	1	no	—
2508	C₄²	—	53	1	no	—
2509	C₄²	—	53	4	no	—
2510	C₄²	—	53	4	no	—
2511	C₄²	—	53	4	no	—
2512	C₄²	—	53	2	no	—
2513	C₄²	—	53	4	no	—
2514	C₄²	—	53	2	no	—
2515	C₄²	—	53	1	no	—
2516	C₄²	—	53	1	no	—
2517	C₄²	—	53	2	no	—
2518	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2519	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2520	C₄²	C₂³×D₅₃	1	4	yes	—
2521	C₄²	C₂³×D₅₃	1	2	yes	—
2522	C₄²	C₂³×D₅₃	1	2	yes	—
2523	C₄²	C₂³×D₅₃	1	4	yes	—
2524	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2525	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2526	C₄²	C₂³×D₅₃	1	4	yes	—
2527	C₄²	C₂³×D₅₃	1	2	yes	—
2528	C₂³	—	2	4	no	—
2529	C₂³	—	2	4	no	—
2530	C₂³	—	4	2	no	—
2531	C₂³	—	53	1	no	—
2532	C₂³	—	53	2	no	—
2533	C₂³	—	53	1	no	—
2534	C₂³	—	53	8	no	—
2535	C₂³	—	53	2	no	—
2536	C₂³	—	53	4	no	—
2537	C₂³	—	53	2	no	—
2538	C₂³	—	106	2	no	—
2539	C₂³	—	106	2	no	—
2540	C₂³	—	106	8	no	—
2541	C₂³	—	106	4	no	—
2542	C₂³	—	106	4	no	—
2543	C₂³	—	106	4	no	—
2544	C₂³	—	106	4	no	—
2545	C₂³	—	106	4	no	—
2546	C₂³	—	106	2	no	—
2547	C₂³	—	106	8	no	—
2548	C₂³	—	106	4	no	—
2549	C₂³	—	106	4	no	—
2550	C₂³	—	212	4	no	—
2551	C₂³	—	212	4	no	—
2552	C₂³	—	212	4	no	—
2553	C₂³	—	212	4	no	—
2554	C₂³	—	212	2	no	—
2555	C₂³	—	212	2	no	—
2556	C₂³	—	212	2	no	—
2557	C₂³	—	212	2	no	—
2558	C₂³	—	212	2	no	—
2559	C₂³	—	212	2	no	—
2560	C₂³	—	212	2	no	—
2561	C₂³	—	212	32	no	—
2562	C₂³	C₂⁴×D₅₃	1	2	yes	—
2563	C₂³	C₂⁴×D₅₃	1	2	yes	—
2564	C₂³	C₂⁴×D₅₃	1	2	yes	—
2565	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2566	Q₈	—	2	4	no	—
2567	Q₈	—	2	2	no	—
2568	Q₈	—	4	2	no	—
2569	Q₈	—	106	4	no	—
2570	Q₈	—	106	2	no	—
2571	Q₈	—	106	4	no	—
2572	Q₈	—	212	4	no	—
2573	Q₈	—	212	4	no	—
2574	Q₈	—	212	2	no	—
2575	D₄	—	2	4	no	—
2576	D₄	—	2	8	no	—
2577	D₄	—	2	4	no	—
2578	D₄	—	2	2	no	—
2579	D₄	—	2	2	no	—
2580	D₄	—	4	4	no	—
2581	D₄	—	53	8	no	—
2582	D₄	—	53	4	no	—
2583	D₄	—	106	4	no	—
2584	D₄	—	106	4	no	—
2585	D₄	—	106	8	no	—
2586	D₄	—	106	8	no	—
2587	D₄	—	106	8	no	—
2588	D₄	—	106	4	no	—
2589	D₄	—	106	8	no	—
2590	D₄	—	106	4	no	—
2591	D₄	—	106	4	no	—
2592	D₄	—	106	4	no	—
2593	D₄	—	106	4	no	—
2594	D₄	—	106	4	no	—
2595	D₄	—	106	4	no	—
2596	D₄	—	106	8	no	—
2597	D₄	—	106	4	no	—
2598	D₄	—	106	8	no	—
2599	D₄	—	106	2	no	—
2600	D₄	—	106	4	no	—
2601	D₄	—	106	2	no	—
2602	D₄	—	106	4	no	—
2603	D₄	—	212	4	no	—
2604	D₄	—	212	4	no	—
2605	D₄	—	212	4	no	—
2606	D₄	—	212	4	no	—
2607	D₄	—	212	2	no	—
2608	D₄	—	212	4	no	—
2609	D₄	—	212	4	no	—
2610	D₄	—	212	4	no	—
2611	D₄	—	212	4	no	—
2612	D₄	—	212	4	no	—
2613	D₄	—	212	2	no	—
2614	D₄	#41×D₅₃	1	4	yes	complemented
2615	C₂×C₄	—	2	8	no	—
2616	C₂×C₄	—	2	4	no	—
2617	C₂×C₄	—	2	2	no	—
2618	C₂×C₄	—	2	4	no	—
2619	C₂×C₄	—	2	4	no	—
2620	C₂×C₄	—	2	4	no	—
2621	C₂×C₄	—	2	4	no	—
2622	C₂×C₄	—	2	4	no	—
2623	C₂×C₄	—	2	4	no	—
2624	C₂×C₄	—	4	1	no	—
2625	C₂×C₄	—	4	4	no	—
2626	C₂×C₄	—	4	2	no	—
2627	C₂×C₄	—	53	1	no	—
2628	C₂×C₄	—	53	4	no	—
2629	C₂×C₄	—	53	1	no	—
2630	C₂×C₄	—	53	1	no	—
2631	C₂×C₄	—	53	2	no	—
2632	C₂×C₄	—	53	2	no	—
2633	C₂×C₄	—	53	1	no	—
2634	C₂×C₄	—	53	1	no	—
2635	C₂×C₄	—	53	1	no	—
2636	C₂×C₄	—	53	2	no	—
2637	C₂×C₄	—	53	4	no	—
2638	C₂×C₄	—	53	2	no	—
2639	C₂×C₄	—	53	2	no	—
2640	C₂×C₄	—	106	2	no	—
2641	C₂×C₄	—	106	8	no	—
2642	C₂×C₄	—	106	2	no	—
2643	C₂×C₄	—	106	2	no	—
2644	C₂×C₄	—	106	2	no	—
2645	C₂×C₄	—	106	8	no	—
2646	C₂×C₄	—	106	2	no	—
2647	C₂×C₄	—	106	2	no	—
2648	C₂×C₄	—	106	4	no	—
2649	C₂×C₄	—	106	2	no	—
2650	C₂×C₄	—	106	4	no	—
2651	C₂×C₄	—	106	2	no	—
2652	C₂×C₄	—	106	2	no	—
2653	C₂×C₄	—	106	4	no	—
2654	C₂×C₄	—	106	2	no	—
2655	C₂×C₄	—	106	2	no	—
2656	C₂×C₄	—	106	4	no	—
2657	C₂×C₄	—	106	4	no	—
2658	C₂×C₄	—	106	4	no	—
2659	C₂×C₄	—	106	8	no	—
2660	C₂×C₄	—	106	4	no	—
2661	C₂×C₄	—	212	1	no	—
2662	C₂×C₄	—	212	1	no	—
2663	C₂×C₄	—	212	2	no	—
2664	C₂×C₄	—	212	2	no	—
2665	C₂×C₄	—	212	2	no	—
2666	C₂×C₄	—	212	2	no	—
2667	C₂×C₄	—	212	2	no	—
2668	C₂×C₄	—	212	2	no	—
2669	C₂×C₄	—	212	2	no	—
2670	C₂×C₄	—	212	2	no	—
2671	C₂×C₄	—	212	4	no	—
2672	C₂×C₄	—	212	4	no	—
2673	C₂×C₄	—	212	4	no	—
2674	C₂×C₄	—	212	4	no	—
2675	C₂×C₄	—	212	4	no	—
2676	C₂×C₄	—	212	2	no	—
2677	C₂×C₄	—	212	4	no	—
2678	C₂×C₄	—	212	1	no	—
2679	C₂×C₄	—	212	2	no	—
2680	C₂×C₄	—	212	2	no	—
2681	C₂×C₄	—	212	2	no	—
2682	C₂×C₄	—	212	2	no	—
2683	C₂×C₄	—	212	4	no	—
2684	C₂×C₄	—	212	4	no	—
2685	C₂×C₄	#13133263	1	4	yes	complemented
2686	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2687	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2688	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2689	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2690	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2691	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2692	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2693	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2694	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2695	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2696	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2697	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2698	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2699	C₂²	—	2	1	no	—
2700	C₂²	—	2	2	no	—
2701	C₂²	—	2	2	no	—
2702	C₂²	—	2	1	no	—
2703	C₂²	—	2	2	no	—
2704	C₂²	—	2	2	no	—
2705	C₂²	—	2	2	no	—
2706	C₂²	—	2	2	no	—
2707	C₂²	—	2	2	no	—
2708	C₂²	—	2	2	no	—
2709	C₂²	—	4	8	no	—
2710	C₂²	—	53	2	no	—
2711	C₂²	—	53	4	no	—
2712	C₂²	—	53	2	no	—
2713	C₂²	—	106	8	no	—
2714	C₂²	—	106	1	no	—
2715	C₂²	—	106	1	no	—
2716	C₂²	—	106	1	no	—
2717	C₂²	—	106	2	no	—
2718	C₂²	—	106	1	no	—
2719	C₂²	—	106	2	no	—
2720	C₂²	—	106	4	no	—
2721	C₂²	—	106	2	no	—
2722	C₂²	—	106	2	no	—
2723	C₂²	—	106	2	no	—
2724	C₂²	—	106	2	no	—
2725	C₂²	—	106	4	no	—
2726	C₂²	—	106	2	no	—
2727	C₂²	—	106	4	no	—
2728	C₂²	—	106	2	no	—
2729	C₂²	—	424	8	no	—
2730	C₂²	—	424	8	no	—
2731	C₂²	—	212	8	no	—
2732	C₂²	—	212	8	no	—
2733	C₂²	—	212	8	no	—
2734	C₂²	—	212	8	no	—
2735	C₂²	—	212	8	no	—
2736	C₂²	C₂×#41×D₅₃	1	4	yes	—
2737	C₂²	C₂×#13133263	1	2	yes	—
2738	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2739	C₄	—	2	2	no	—
2740	C₄	—	2	1	no	—
2741	C₄	—	2	4	no	—
2742	C₄	—	2	2	no	—
2743	C₄	—	2	2	no	—
2744	C₄	—	2	2	no	—
2745	C₄	—	2	1	no	—
2746	C₄	—	2	2	no	—
2747	C₄	—	2	1	no	—
2748	C₄	—	2	4	no	—
2749	C₄	—	53	2	no	—
2750	C₄	—	106	1	no	—
2751	C₄	—	106	2	no	—
2752	C₄	—	106	1	no	—
2753	C₄	—	106	1	no	—
2754	C₄	—	106	2	no	—
2755	C₄	—	106	2	no	—
2756	C₄	—	106	4	no	—
2757	C₄	—	106	2	no	—
2758	C₄	—	106	1	no	—
2759	C₄	—	106	1	no	—
2760	C₄	—	106	2	no	—
2761	C₄	C₂×#41×D₅₃	1	2	yes	—
2762	C₄	C₂×#13133263	1	2	yes	—
2763	C₄	C₂×#13133263	1	2	yes	—
2764	C₂	—	2	2	no	—
2765	C₂	—	2	4	no	—
2766	C₂	—	4	2	no	—
2767	C₂	—	4	2	no	—
2768	C₂	—	106	2	no	—
2769	C₂	—	106	2	no	—
2770	C₂	—	106	4	no	—
2771	C₂	—	212	2	no	—
2772	C₂	—	212	4	no	—
2773	C₂	—	212	2	no	—
2774	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2775	C₂	C₂²×#13133263	1	1	yes	characteristic
2776	C₂	#585×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₅₃×#3475	C₂
hypercenter	#3475	D₅₃
hypocenter	C₅₃	#62773
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂×C₄ ◁ #3475

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #20288763	C₂	semidirect
2. #20288761	C₂	semidirect
3. #20288755	C₂	semidirect
4. #20288750	C₂	semidirect
5. #20288748	C₂	semidirect
6. #20288740	C₂	semidirect
7. #20288660	C₂	semidirect
8. #20288656	C₂	semidirect
9. #20288642	C₂	semidirect
10. #20288568	C₂	semidirect
11. #20288557	C₂	semidirect
12. #20288555	C₂	semidirect
13. #20288544	C₂	semidirect
14. #20288512	C₂	semidirect
15. #20288473	C₂	semidirect
16. #20288415	C₂	semidirect
17. #20288399	C₂	semidirect
18. #20288345	C₂	semidirect
19. #20288325	C₂	semidirect
20. #20288321	C₂	semidirect
21. #20288321	C₂	semidirect
22. #20288282	C₂	semidirect
23. #20288269	C₂	semidirect
24. #41×D₂₁₂	C₂	semidirect
25. D₄×#11719945	C₂	semidirect
26. #20288198	C₂	semidirect
27. #20288136	C₂	semidirect
28. #20288125	C₂	semidirect
29. #20288012	C₂	semidirect
30. #20288008	C₂	semidirect
31. C₂×#16811135	C₂	semidirect
32. #525×D₅₃	C₂	semidirect
33. C₄×#13133263	C₂	semidirect
34. C₂×C₄×D₄×D₅₃	C₂	semidirect
35. C₅₃×#3475	C₂	semidirect
37. C₂²×#11719945	C₂²	semidirect
38. C₂×#41×D₅₃	C₂²	semidirect
40. C₂³×C₄×D₅₃	C₂²	semidirect
41. #16811358	C₂²	semidirect
42. #16811355	C₂²	semidirect
43. #16811355	C₂²	semidirect
44. #16811347	C₂²	semidirect
45. #16811341	C₂²	semidirect
46. #16811339	C₂²	semidirect
47. #16811336	C₂²	semidirect
48. #16811334	C₂²	semidirect
49. #16811333	C₂²	semidirect
50. #16811331	C₂²	semidirect
51. #16811331	C₂²	semidirect
52. #16811330	C₂²	semidirect
53. #16811329	C₂²	semidirect
54. #16811329	C₂²	semidirect
55. #16811328	C₂²	semidirect
56. #16811326	C₂²	semidirect
57. #16811326	C₂²	semidirect
58. #16811326	C₂²	semidirect
59. #16811325	C₂²	semidirect
60. #16811325	C₂²	semidirect
61. #16811324	C₂²	semidirect
62. #16811324	C₂²	semidirect
63. #16811324	C₂²	semidirect
64. #16811321	C₂²	semidirect
65. #16811319	C₂²	semidirect
66. #16811317	C₂²	semidirect
67. #16811317	C₂²	semidirect
68. #16811317	C₂²	semidirect
69. #16811315	C₂²	semidirect
70. #16811312	C₂²	semidirect
71. #16811311	C₂²	semidirect
72. #16811308	C₂²	semidirect
73. #16811306	C₂²	semidirect
74. #16811300	C₂²	semidirect
75. #16811299	C₂²	semidirect
76. #16811298	C₂²	semidirect
77. #16811298	C₂²	semidirect
78. #16811298	C₂²	semidirect
79. #16811297	C₂²	semidirect
80. #16811297	C₂²	semidirect
81. #16811297	C₂²	semidirect
82. #16811296	C₂²	semidirect
83. #16811296	C₂²	semidirect
84. #16811296	C₂²	semidirect
85. #16811295	C₂²	semidirect
86. #16811294	C₂²	semidirect
87. #16811291	C₂²	semidirect
88. Q₈×D₂₁₂	C₂²	semidirect
89. D₄×Dic₁₀₆	C₂²	semidirect
90. #16811286	C₂²	semidirect
91. #16811285	C₂²	semidirect
92. #16811283	C₂²	semidirect
93. #16811282	C₂²	semidirect
94. #16811279	C₂²	semidirect
95. #16811278	C₂²	semidirect
96. #16811277	C₂²	semidirect
97. #16811277	C₂²	semidirect
98. #16811276	C₂²	semidirect
99. #16811275	C₂²	semidirect
100. #16811274	C₂²	semidirect
101. #16811274	C₂²	semidirect
102. #16811271	C₂²	semidirect
103. #16811270	C₂²	semidirect
104. #16811269	C₂²	semidirect
105. #16811269	C₂²	semidirect
106. #16811268	C₂²	semidirect
107. #16811268	C₂²	semidirect
108. #16811266	C₂²	semidirect
109. #16811266	C₂²	semidirect
110. #16811265	C₂²	semidirect
111. #16811265	C₂²	semidirect
112. #16811265	C₂²	semidirect
113. #16811265	C₂²	semidirect
114. #16811264	C₂²	semidirect
115. #16811264	C₂²	semidirect
116. #16811264	C₂²	semidirect
117. #16811264	C₂²	semidirect
118. #16811263	C₂²	semidirect
119. #16811263	C₂²	semidirect
120. #16811261	C₂²	semidirect
121. #16811261	C₂²	semidirect
122. #16811260	C₂²	semidirect
123. D₄×D₂₁₂	C₂²	semidirect
124. D₄×D₂₁₂	C₂²	semidirect
125. D₄×D₂₁₂	C₂²	semidirect
126. D₄×D₂₁₂	C₂²	semidirect
127. #16811257	C₂²	semidirect
128. #16811257	C₂²	semidirect
129. #16811257	C₂²	semidirect
130. D₄×C₂²⋊D₅₃	C₂²	semidirect
131. #16811255	C₂²	semidirect
132. #16811253	C₂²	semidirect
133. #16811248	C₂²	semidirect
134. #16811246	C₂²	semidirect
135. #16811242	C₂²	semidirect
136. #16811239	C₂²	semidirect
137. #16811229	C₂²	semidirect
138. #16811226	C₂²	semidirect
139. #16811225	C₂²	semidirect
140. #16811221	C₂²	semidirect
141. #16811221	C₂²	semidirect
142. #16811217	C₂²	semidirect
143. #16811217	C₂²	semidirect
144. #16811214	C₂²	semidirect
145. #16811214	C₂²	semidirect
146. #16811213	C₂²	semidirect
147. #16811212	C₂²	semidirect
148. #16811212	C₂²	semidirect
149. #16811212	C₂²	semidirect
150. #16811210	C₂²	semidirect
151. #16811209	C₂²	semidirect
152. #16811207	C₂²	semidirect
153. #16811207	C₂²	semidirect
154. #16811203	C₂²	semidirect
155. #16811191	C₂²	semidirect
156. #16811189	C₂²	semidirect
157. #16811184	C₂²	semidirect
158. #16811184	C₂²	semidirect
159. #16811181	C₂²	semidirect
160. #16811178	C₂²	semidirect
161. #16811178	C₂²	semidirect
162. #16811177	C₂²	semidirect
163. #16811177	C₂²	semidirect
164. #16811176	C₂²	semidirect
165. #16811174	C₂²	semidirect
166. #16811174	C₂²	semidirect
167. #16811173	C₂²	semidirect
168. #16811173	C₂²	semidirect
169. #16811170	C₂²	semidirect
170. #16811170	C₂²	semidirect
171. #16811170	C₂²	semidirect
172. #16811170	C₂²	semidirect
173. #16811169	C₂²	semidirect
174. #16811160	C₂²	semidirect
175. #16811160	C₂²	semidirect
176. #16811160	C₂²	semidirect
177. #16811160	C₂²	semidirect
178. #16811160	C₂²	semidirect
179. #16811160	C₂²	semidirect
180. #16811159	C₂²	semidirect
181. #16811159	C₂²	semidirect
182. #16811158	C₂²	semidirect
183. #16811158	C₂²	semidirect
184. #16811157	C₂²	semidirect
185. #16811155	C₂²	semidirect
186. #16811155	C₂²	semidirect
187. #16811153	C₂²	semidirect
188. #16811153	C₂²	semidirect
189. #16811151	C₂²	semidirect
190. #16811151	C₂²	semidirect
191. #16811151	C₂²	semidirect
192. #16811151	C₂²	semidirect
193. #16811136	C₂²	semidirect
194. #16811136	C₂²	semidirect
195. #16811136	C₂²	semidirect
196. #16811136	C₂²	semidirect
197. #16811135	C₂²	semidirect
198. #16811135	C₂²	semidirect
199. #16811135	C₂²	semidirect
200. #16811135	C₂²	semidirect
201. #16811135	C₂²	semidirect
202. #16811135	C₂²	semidirect
203. #16811135	C₂²	semidirect
204. #16811135	C₂²	semidirect
205. #16811135	C₂²	semidirect
206. #16811135	C₂²	semidirect
207. #16811135	C₂²	semidirect
208. #16811135	C₂²	semidirect
209. #16811135	C₂²	semidirect
210. #16811134	C₂²	semidirect
211. #16811133	C₂²	semidirect
212. #16811133	C₂²	semidirect
213. #16811132	C₂²	semidirect
214. #16811132	C₂²	semidirect
215. #16811132	C₂²	semidirect
216. #16811132	C₂²	semidirect
217. #16811132	C₂²	semidirect
218. #16811132	C₂²	semidirect
219. #16811132	C₂²	semidirect
220. #16811131	C₂²	semidirect
221. #16811130	C₂²	semidirect
222. #16811129	C₂²	semidirect
223. C₂×#13133201	C₂²	semidirect
224. #123×D₅₃	C₂²	semidirect
225. C₂×#13133197	C₂²	semidirect
226. C₂×#13133197	C₂²	semidirect
227. C₂²⋊Q₈×D₅₃	C₂²	semidirect
228. C₂²⋊Q₈×D₅₃	C₂²	semidirect
229. C₂×#13133192	C₂²	semidirect
230. C₂×#13133192	C₂²	semidirect
231. #121×D₅₃	C₂²	semidirect
232. #121×D₅₃	C₂²	semidirect
233. C₂×#13133187	C₂²	semidirect
234. #120×D₅₃	C₂²	semidirect
235. #16811106	C₂²	semidirect
236. #16811105	C₂²	semidirect
237. #16811105	C₂²	semidirect
238. #16811103	C₂²	semidirect
239. #16811103	C₂²	semidirect
240. #16811097	C₂²	semidirect
241. #16811097	C₂²	semidirect
243. #16811095	C₂²	semidirect
244. #16811095	C₂²	semidirect
245. #16811095	C₂²	semidirect
246. C₄×#11719949	C₂²	semidirect
247. C₄×#11719949	C₂²	semidirect
248. C₄×#11719949	C₂²	semidirect
249. C₄×#11719945	C₂²	semidirect
250. C₄×#11719945	C₂²	semidirect
251. C₄×#11719945	C₂²	semidirect
252. C₄×#11719945	C₂²	semidirect
253. #16811091	C₂²	semidirect
254. C₂×C₄×D₂₁₂	C₂²	semidirect
255. C₂×C₄×D₂₁₂	C₂²	semidirect
256. C₂×C₄×D₂₁₂	C₂²	semidirect
257. C₂×C₄×D₂₁₂	C₂²	semidirect
258. C₂×D₄×Dic₅₃	C₂²	semidirect
259. C₂×#13133179	C₂²	semidirect
260. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
261. C₂×#13133177	C₂²	semidirect
264. C₄×D₄×D₅₃	C₂²	semidirect
265. C₄×D₄×D₅₃	C₂²	semidirect
266. C₄×D₄×D₅₃	C₂²	semidirect
267. C₄×D₄×D₅₃	C₂²	semidirect
268. C₄×D₄×D₅₃	C₂²	semidirect
269. C₄×D₄×D₅₃	C₂²	semidirect
270. C₄×D₄×D₅₃	C₂²	semidirect
271. C₄×D₄×D₅₃	C₂²	semidirect
272. C₄×D₄×D₅₃	C₂²	semidirect
273. C₄×D₄×D₅₃	C₂²	semidirect
274. C₄×D₄×D₅₃	C₂²	semidirect
275. C₄×D₄×D₅₃	C₂²	semidirect
276. C₄×D₄×D₅₃	C₂²	semidirect
277. C₄×D₄×D₅₃	C₂²	semidirect
278. #117×D₅₃	C₂²	semidirect
279. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
280. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
281. C₂×C₄²×D₅₃	C₂²	semidirect
282. C₅₃×#556	C₂²	semidirect
283. C₅₃×#555	C₂²	semidirect
284. C₅₃×#554	C₂²	semidirect
285. C₅₃×#553	C₂²	semidirect
286. C₅₃×#552	C₂²	semidirect
287. C₅₃×#552	C₂²	semidirect
288. C₅₃×#551	C₂²	semidirect
289. C₅₃×#547	C₂²	semidirect
290. C₅₃×#546	C₂²	semidirect
291. C₅₃×#533	C₂²	semidirect
292. C₅₃×#529	C₂²	semidirect
293. C₅₃×#529	C₂²	semidirect
294. C₅₃×#525	C₂²	semidirect
295. C₄×#41×C₅₃	C₂²	semidirect
296. C₄×#41×C₅₃	C₂²	semidirect
297. C₂×C₄×D₄×C₅₃	C₂²	semidirect
298. C₂×#117×C₅₃	C₂²	semidirect
304. C₂×#11719949	C₂³	semidirect
312. C₂×#11719945	C₂³	semidirect
313. C₂×#11719945	C₂³	semidirect
314. C₂×#11719945	C₂³	semidirect
315. C₂×#11719945	C₂³	semidirect
317. C₂×#11719947	C₂³	semidirect
319. C₂²×Dic₁₀₆	C₂³	semidirect
320. C₂×Q₈×D₅₃	C₂³	semidirect
325. C₂²×D₂₁₂	C₂³	semidirect
340. C₂×D₄×D₅₃	C₂³	semidirect
357. C₂²×C₄×D₅₃	C₂³	semidirect
358. C₂²×C₄×D₅₃	C₂³	semidirect
359. #13133217	C₂³	semidirect
360. #13133217	C₂³	semidirect
361. #13133216	C₂³	semidirect
362. #13133216	C₂³	semidirect
363. #13133216	C₂³	semidirect
364. #13133216	C₂³	semidirect
365. #13133215	C₂³	semidirect
367. #13133214	C₂³	semidirect
370. #13133213	C₂³	semidirect
371. #13133212	C₂³	semidirect
372. #13133212	C₂³	semidirect
373. #13133212	C₂³	semidirect
374. #13133212	C₂³	semidirect
375. #13133212	C₂³	semidirect
376. #13133212	C₂³	semidirect
377. #13133212	C₂³	semidirect
378. #13133212	C₂³	semidirect
379. #13133212	C₂³	semidirect
380. #13133211	C₂³	semidirect
381. #13133211	C₂³	semidirect
382. #13133210	C₂³	semidirect
383. #13133210	C₂³	semidirect
384. #13133210	C₂³	semidirect
385. #13133210	C₂³	semidirect
386. #13133209	C₂³	semidirect
387. #13133208	C₂³	semidirect
388. #13133208	C₂³	semidirect
389. #13133208	C₂³	semidirect
390. #13133208	C₂³	semidirect
391. #13133208	C₂³	semidirect
392. #13133208	C₂³	semidirect
393. #13133207	C₂³	semidirect
394. #13133207	C₂³	semidirect
395. #13133207	C₂³	semidirect
396. #13133207	C₂³	semidirect
398. #13133206	C₂³	semidirect
399. #13133206	C₂³	semidirect
400. #13133206	C₂³	semidirect
401. #13133206	C₂³	semidirect
402. #13133205	C₂³	semidirect
403. #13133205	C₂³	semidirect
404. #13133205	C₂³	semidirect
405. #13133204	C₂³	semidirect
407. #13133203	C₂³	semidirect
408. #13133203	C₂³	semidirect
409. #13133203	C₂³	semidirect
410. #13133203	C₂³	semidirect
411. #13133203	C₂³	semidirect
412. #13133203	C₂³	semidirect
418. #13133202	C₂³	semidirect
419. #13133202	C₂³	semidirect
420. #13133202	C₂³	semidirect
421. #13133202	C₂³	semidirect
422. #13133202	C₂³	semidirect
423. #13133202	C₂³	semidirect
424. #13133202	C₂³	semidirect
425. #13133202	C₂³	semidirect
426. #13133202	C₂³	semidirect
431. #13133201	C₂³	semidirect
432. #13133201	C₂³	semidirect
433. #13133201	C₂³	semidirect
434. #13133201	C₂³	semidirect
435. #13133201	C₂³	semidirect
436. #13133201	C₂³	semidirect
439. #13133200	C₂³	semidirect
443. #13133199	C₂³	semidirect
444. #13133199	C₂³	semidirect
445. #13133199	C₂³	semidirect
446. #13133199	C₂³	semidirect
447. #13133199	C₂³	semidirect
448. #13133199	C₂³	semidirect
456. #13133197	C₂³	semidirect
457. #13133197	C₂³	semidirect
458. #13133197	C₂³	semidirect
459. #13133197	C₂³	semidirect
460. #13133197	C₂³	semidirect
461. #13133197	C₂³	semidirect
462. #13133197	C₂³	semidirect
463. #13133197	C₂³	semidirect
464. #13133196	C₂³	semidirect
465. #13133196	C₂³	semidirect
466. #13133196	C₂³	semidirect
471. #13133195	C₂³	semidirect
472. #13133195	C₂³	semidirect
473. #13133195	C₂³	semidirect
474. #13133195	C₂³	semidirect
475. #13133195	C₂³	semidirect
478. #13133194	C₂³	semidirect
479. #13133194	C₂³	semidirect
480. #13133194	C₂³	semidirect
481. #13133194	C₂³	semidirect
482. #13133194	C₂³	semidirect
487. #13133193	C₂³	semidirect
488. #13133193	C₂³	semidirect
500. #13133192	C₂³	semidirect
501. #13133192	C₂³	semidirect
502. #13133192	C₂³	semidirect
503. #13133192	C₂³	semidirect
504. #13133192	C₂³	semidirect
505. #13133192	C₂³	semidirect
506. #13133192	C₂³	semidirect
507. #13133192	C₂³	semidirect
508. #13133192	C₂³	semidirect
513. #13133191	C₂³	semidirect
514. #13133191	C₂³	semidirect
515. #13133191	C₂³	semidirect
516. #13133191	C₂³	semidirect
525. #13133190	C₂³	semidirect
526. #13133190	C₂³	semidirect
527. #13133190	C₂³	semidirect
528. #13133190	C₂³	semidirect
533. #13133189	C₂³	semidirect
534. #13133189	C₂³	semidirect
535. #13133189	C₂³	semidirect
539. #13133188	C₂³	semidirect
552. #13133187	C₂³	semidirect
553. #13133187	C₂³	semidirect
554. #13133187	C₂³	semidirect
561. #13133185	C₂³	semidirect
562. Q₈×Dic₅₃	C₂³	semidirect
563. Q₈×Dic₅₃	C₂³	semidirect
564. Q₈×Dic₅₃	C₂³	semidirect
565. C₄×Dic₁₀₆	C₂³	semidirect
566. C₄×Dic₁₀₆	C₂³	semidirect
567. C₄×Dic₁₀₆	C₂³	semidirect
568. C₄×Dic₁₀₆	C₂³	semidirect
569. C₄×Dic₁₀₆	C₂³	semidirect
570. C₄×Dic₁₀₆	C₂³	semidirect
571. C₄×Dic₁₀₆	C₂³	semidirect
572. #13133182	C₂³	semidirect
573. #13133182	C₂³	semidirect
591. C₄×D₂₁₂	C₂³	semidirect
592. C₄×D₂₁₂	C₂³	semidirect
593. C₄×D₂₁₂	C₂³	semidirect
594. C₄×D₂₁₂	C₂³	semidirect
595. C₄×D₂₁₂	C₂³	semidirect
596. C₄×D₂₁₂	C₂³	semidirect
597. C₄×D₂₁₂	C₂³	semidirect
598. C₄×D₂₁₂	C₂³	semidirect
599. C₄×D₂₁₂	C₂³	semidirect
600. C₄×D₂₁₂	C₂³	semidirect
601. C₄×D₂₁₂	C₂³	semidirect
602. C₄×D₂₁₂	C₂³	semidirect
603. C₄×D₂₁₂	C₂³	semidirect
604. C₄×D₂₁₂	C₂³	semidirect
605. C₄×D₂₁₂	C₂³	semidirect
613. D₄×Dic₅₃	C₂³	semidirect
614. D₄×Dic₅₃	C₂³	semidirect
615. D₄×Dic₅₃	C₂³	semidirect
627. #13133179	C₂³	semidirect
628. #13133179	C₂³	semidirect
629. #13133179	C₂³	semidirect
630. #13133179	C₂³	semidirect
631. #13133179	C₂³	semidirect
632. #13133179	C₂³	semidirect
633. #13133179	C₂³	semidirect
649. C₄×C₂²⋊D₅₃	C₂³	semidirect
650. C₄×C₂²⋊D₅₃	C₂³	semidirect
651. C₄×C₂²⋊D₅₃	C₂³	semidirect
652. C₄×C₂²⋊D₅₃	C₂³	semidirect
653. C₄×C₂²⋊D₅₃	C₂³	semidirect
654. C₄×C₂²⋊D₅₃	C₂³	semidirect
655. C₄×C₂²⋊D₅₃	C₂³	semidirect
669. #13133177	C₂³	semidirect
670. #13133177	C₂³	semidirect
671. #13133177	C₂³	semidirect
672. #13133177	C₂³	semidirect
674. #13133176	C₂³	semidirect
675. #13133176	C₂³	semidirect
676. #13133176	C₂³	semidirect
679. #13133175	C₂³	semidirect
680. #13133175	C₂³	semidirect
681. #13133175	C₂³	semidirect
682. #13133175	C₂³	semidirect
683. #13133175	C₂³	semidirect
684. #13133175	C₂³	semidirect
687. #13133174	C₂³	semidirect
688. #13133174	C₂³	semidirect
689. #13133174	C₂³	semidirect
690. #13133174	C₂³	semidirect
691. #13133174	C₂³	semidirect
692. #13133174	C₂³	semidirect
693. #13133174	C₂³	semidirect
696. C₂×C₄⋊Dic₅₃	C₂³	semidirect
697. C₂×C₄⋊Dic₅₃	C₂³	semidirect
698. C₂×C₄⋊Dic₅₃	C₂³	semidirect
706. C₄⋊C₄×D₅₃	C₂³	semidirect
707. C₄⋊C₄×D₅₃	C₂³	semidirect
708. C₄⋊C₄×D₅₃	C₂³	semidirect
709. C₄⋊C₄×D₅₃	C₂³	semidirect
710. C₄⋊C₄×D₅₃	C₂³	semidirect
711. C₄⋊C₄×D₅₃	C₂³	semidirect
717. C₂×#11719921	C₂³	semidirect
718. C₂×#11719921	C₂³	semidirect
719. C₂×#11719921	C₂³	semidirect
731. C₂²⋊C₄×D₅₃	C₂³	semidirect
732. C₂²⋊C₄×D₅₃	C₂³	semidirect
733. C₂²⋊C₄×D₅₃	C₂³	semidirect
734. C₂²⋊C₄×D₅₃	C₂³	semidirect
735. C₂²⋊C₄×D₅₃	C₂³	semidirect
747. C₄²×D₅₃	C₂³	semidirect
748. C₄²×D₅₃	C₂³	semidirect
749. C₄²×D₅₃	C₂³	semidirect
754. C₄⋊Q₈×C₅₃	C₂³	semidirect
755. C₄⋊Q₈×C₅₃	C₂³	semidirect
756. #126×C₅₃	C₂³	semidirect
757. #126×C₅₃	C₂³	semidirect
758. #126×C₅₃	C₂³	semidirect
759. #125×C₅₃	C₂³	semidirect
760. #125×C₅₃	C₂³	semidirect
761. #125×C₅₃	C₂³	semidirect
763. #124×C₅₃	C₂³	semidirect
766. #123×C₅₃	C₂³	semidirect
767. #123×C₅₃	C₂³	semidirect
770. C₂²⋊Q₈×C₅₃	C₂³	semidirect
771. C₂²⋊Q₈×C₅₃	C₂³	semidirect
772. C₂²⋊Q₈×C₅₃	C₂³	semidirect
773. C₂²⋊Q₈×C₅₃	C₂³	semidirect
776. #121×C₅₃	C₂³	semidirect
777. #121×C₅₃	C₂³	semidirect
779. C₄×Q₈×C₅₃	C₂³	semidirect
780. C₄×Q₈×C₅₃	C₂³	semidirect
781. C₄×Q₈×C₅₃	C₂³	semidirect
782. C₄×Q₈×C₅₃	C₂³	semidirect
783. C₄×Q₈×C₅₃	C₂³	semidirect
793. C₄×D₄×C₅₃	C₂³	semidirect
794. C₄×D₄×C₅₃	C₂³	semidirect
795. C₄×D₄×C₅₃	C₂³	semidirect
796. C₄×D₄×C₅₃	C₂³	semidirect
797. C₄×D₄×C₅₃	C₂³	semidirect
801. #117×C₅₃	C₂³	semidirect
802. #117×C₅₃	C₂³	semidirect
803. #117×C₅₃	C₂³	semidirect
804. #117×C₅₃	C₂³	semidirect
805. #117×C₅₃	C₂³	semidirect
806. #117×C₅₃	C₂³	semidirect
808. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
809. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
813. C₂×C₄²×C₅₃	C₂³	semidirect
814. C₂×C₄²×C₅₃	C₂³	semidirect
901. D₄×D₅₃	#41	semidirect
1170. C₂²×D₅₃	C₂×#41	semidirect
1186. D₄×C₅₃	C₂×#41	semidirect
1199. C₂×C₄×C₅₃	H(5,𝔽₂)	semidirect
1228. C₂²⋊D₅₃	C₂×#41	semidirect
1267. D₂₁₂	C₂×#41	semidirect
1303. C₄×D₅₃	C₂×#41	semidirect
1399. #3475	D₅₃	semidirect
1434. #556	C₂×D₅₃	semidirect
1437. #555	C₂×D₅₃	semidirect
1446. #554	C₂×D₅₃	semidirect
1460. #553	C₂×D₅₃	semidirect
1466. #552	C₂×D₅₃	semidirect
1467. #552	C₂×D₅₃	semidirect
1479. #551	C₂×D₅₃	semidirect
1498. #547	C₂×D₅₃	semidirect
1519. #546	C₂×D₅₃	semidirect
1562. #533	C₂×D₅₃	semidirect
1591. #529	C₂×D₅₃	semidirect
1592. #529	C₂×D₅₃	semidirect
1623. #525	C₂×D₅₃	semidirect
1655. C₄×#41	C₂×D₅₃	semidirect
1656. C₄×#41	C₂×D₅₃	semidirect
1681. C₂×C₄×D₄	C₂×D₅₃	semidirect
1683. C₂×#117	C₂×D₅₃	semidirect
1687. C₅₃	#62773	semidirect
1759. C₄⋊Q₈	C₂²×D₅₃	semidirect
1760. C₄⋊Q₈	C₂²×D₅₃	semidirect
1781. #126	C₂²×D₅₃	semidirect
1782. #126	C₂²×D₅₃	semidirect
1783. #126	C₂²×D₅₃	semidirect
1795. #125	C₂²×D₅₃	semidirect
1796. #125	C₂²×D₅₃	semidirect
1797. #125	C₂²×D₅₃	semidirect
1815. #124	C₂²×D₅₃	semidirect
1855. #123	C₂²×D₅₃	semidirect
1856. #123	C₂²×D₅₃	semidirect
1898. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1899. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1900. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1901. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1955. #121	C₂²×D₅₃	semidirect
1956. #121	C₂²×D₅₃	semidirect
1992. C₄×Q₈	C₂²×D₅₃	semidirect
1993. C₄×Q₈	C₂²×D₅₃	semidirect
1994. C₄×Q₈	C₂²×D₅₃	semidirect
1995. C₄×Q₈	C₂²×D₅₃	semidirect
1996. C₄×Q₈	C₂²×D₅₃	semidirect
2105. C₄×D₄	C₂²×D₅₃	semidirect
2106. C₄×D₄	C₂²×D₅₃	semidirect
2107. C₄×D₄	C₂²×D₅₃	semidirect
2108. C₄×D₄	C₂²×D₅₃	semidirect
2109. C₄×D₄	C₂²×D₅₃	semidirect
2135. #117	C₂²×D₅₃	semidirect
2136. #117	C₂²×D₅₃	semidirect
2137. #117	C₂²×D₅₃	semidirect
2138. #117	C₂²×D₅₃	semidirect
2139. #117	C₂²×D₅₃	semidirect
2140. #117	C₂²×D₅₃	semidirect
2159. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2160. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2202. C₂×C₄²	C₂²×D₅₃	semidirect
2203. C₂×C₄²	C₂²×D₅₃	semidirect
2614. D₄	#41×D₅₃	semidirect
2685. C₂×C₄	#13133263	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#20288763	2
#20288761	2
#20288755	2
#20288750	2
#20288748	2
#20288740	2
#20288660	2
#20288656	2
#20288642	2
#20288568	2
#20288557	2
#20288555	2
#20288544	2
#20288512	2
#20288473	2
#20288415	2
#20288399	2
#20288345	2
#20288325	2
#20288321	2
#20288282	2
#20288269	2
#41×D₂₁₂	2
D₄×#11719945	2
#20288198	2
#20288136	2
#20288125	2
#20288012	2
#20288008	2
C₂×#16811135	2
#525×D₅₃	2
C₄×#13133263	2
C₂×C₄×D₄×D₅₃	2
C₅₃×#3475	2
#62773	53