Subgroups — #28292771

Order 13568.

7338 conjugacy classes of subgroups.

The subgroup lattice has 2828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289038	C₂	1	2	yes	maximal, complemented
2	#20289034	C₂	1	2	yes	maximal, complemented
3	#20289015	C₂	1	2	yes	maximal, complemented
4	#20289011	C₂	1	2	yes	maximal, complemented
5	#20288991	C₂	1	2	yes	maximal, complemented
6	#20288985	C₂	1	2	yes	maximal, complemented
7	#20288976	C₂	1	2	yes	maximal, complemented
8	#20288972	C₂	1	2	yes	maximal, complemented
9	#20288883	C₂	1	4	yes	maximal, complemented
10	#20288866	C₂	1	4	yes	maximal, complemented
11	#20288763	C₂	1	2	yes	maximal, complemented
12	#20288761	C₂	1	2	yes	maximal, complemented
13	#20288750	C₂	1	2	yes	maximal, complemented
14	#20288740	C₂	1	2	yes	maximal, complemented
15	#20288659	C₂	1	4	yes	maximal, complemented
16	#20288649	C₂	1	4	yes	maximal, complemented
17	#20288568	C₂	1	2	yes	maximal, complemented
18	#20288557	C₂	1	2	yes	maximal, complemented
19	#20288555	C₂	1	2	yes	maximal, complemented
20	#20288544	C₂	1	2	yes	maximal, complemented
21	#20288470	C₂	1	1	yes	maximal, characteristic, complemented
22	#20288468	C₂	1	1	yes	maximal, characteristic, complemented
23	#20288453	C₂	1	1	yes	maximal, characteristic, complemented
24	#20288451	C₂	1	1	yes	maximal, characteristic, complemented
25	#20288435	C₂	1	1	yes	maximal, characteristic, complemented
26	#20288396	C₂	1	1	yes	maximal, characteristic, complemented
27	#20288390	C₂	1	1	yes	maximal, characteristic, complemented
28	#20288385	C₂	1	1	yes	maximal, characteristic, complemented
29	#20288379	C₂	1	1	yes	maximal, characteristic, complemented
30	#20288369	C₂	1	1	yes	maximal, characteristic, complemented
31	#20288357	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#16811135	C₂	1	1	yes	maximal, characteristic, complemented
33	#525×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
34	#525×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
35	C₅₃×#3493	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂×#13133264	C₂²	1	1	yes	characteristic, complemented
37	C₂×#13133263	C₂²	1	1	yes	characteristic, complemented
38	C₂²×#11719945	C₂²	1	1	yes	characteristic, complemented
39	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic, complemented
41	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
42	#16811375	C₂²	1	4	yes	complemented
43	#16811370	C₂²	1	4	yes	complemented
44	#16811367	C₂²	1	4	yes	complemented
45	#16811365	C₂²	1	4	yes	complemented
46	#16811364	C₂²	1	4	yes	complemented
47	#16811363	C₂²	1	4	yes	complemented
48	#16811361	C₂²	1	4	yes	complemented
49	#16811361	C₂²	1	4	yes	complemented
50	#16811358	C₂²	1	4	yes	complemented
51	#16811355	C₂²	1	4	yes	complemented
52	#16811355	C₂²	1	4	yes	complemented
53	#16811347	C₂²	1	2	yes	complemented
54	#16811341	C₂²	1	2	yes	complemented
55	#16811341	C₂²	1	2	yes	complemented
56	#16811341	C₂²	1	2	yes	complemented
57	#16811339	C₂²	1	2	yes	complemented
58	#16811336	C₂²	1	2	yes	complemented
59	#16811336	C₂²	1	2	yes	complemented
60	#16811336	C₂²	1	2	yes	complemented
61	#16811334	C₂²	1	2	yes	complemented
62	#16811333	C₂²	1	4	yes	complemented
63	#16811329	C₂²	1	4	yes	complemented
64	#16811328	C₂²	1	2	yes	complemented
65	#16811326	C₂²	1	2	yes	complemented
66	#16811326	C₂²	1	2	yes	complemented
67	#16811326	C₂²	1	4	yes	complemented
68	#16811325	C₂²	1	4	yes	complemented
69	#16811324	C₂²	1	4	yes	complemented
70	#16811324	C₂²	1	4	yes	complemented
71	#16811324	C₂²	1	4	yes	complemented
72	#16811321	C₂²	1	2	yes	complemented
73	#16811319	C₂²	1	4	yes	complemented
74	#16811317	C₂²	1	2	yes	complemented
75	#16811317	C₂²	1	2	yes	complemented
76	#16811317	C₂²	1	4	yes	complemented
77	#16811317	C₂²	1	2	yes	complemented
78	#16811317	C₂²	1	4	yes	complemented
79	#16811315	C₂²	1	4	yes	complemented
80	#16811313	C₂²	1	4	yes	complemented
81	#16811312	C₂²	1	2	yes	complemented
82	#16811312	C₂²	1	2	yes	complemented
83	#16811312	C₂²	1	2	yes	complemented
84	#16811311	C₂²	1	2	yes	complemented
85	#16811311	C₂²	1	2	yes	complemented
86	#16811308	C₂²	1	2	yes	complemented
87	#16811302	C₂²	1	4	yes	complemented
88	#16811302	C₂²	1	4	yes	complemented
89	#16811300	C₂²	1	4	yes	complemented
90	#16811300	C₂²	1	4	yes	complemented
91	#16811298	C₂²	1	4	yes	complemented
92	#16811298	C₂²	1	4	yes	complemented
93	#16811298	C₂²	1	4	yes	complemented
94	#16811297	C₂²	1	4	yes	complemented
95	#16811297	C₂²	1	4	yes	complemented
96	#16811296	C₂²	1	4	yes	complemented
97	#16811295	C₂²	1	2	yes	complemented
98	#16811294	C₂²	1	2	yes	complemented
99	#16811294	C₂²	1	2	yes	complemented
100	#16811291	C₂²	1	2	yes	complemented
101	#16811291	C₂²	1	2	yes	complemented
102	#16811291	C₂²	1	2	yes	complemented
103	Q₈×D₂₁₂	C₂²	1	2	yes	complemented
104	#16811286	C₂²	1	2	yes	complemented
105	#16811285	C₂²	1	2	yes	complemented
106	#16811285	C₂²	1	2	yes	complemented
107	#16811283	C₂²	1	2	yes	complemented
108	#16811283	C₂²	1	2	yes	complemented
109	#16811283	C₂²	1	2	yes	complemented
110	#16811282	C₂²	1	2	yes	complemented
111	#16811282	C₂²	1	2	yes	complemented
112	#16811279	C₂²	1	2	yes	complemented
113	#16811278	C₂²	1	2	yes	complemented
114	#16811278	C₂²	1	2	yes	complemented
115	#16811277	C₂²	1	4	yes	complemented
116	#16811277	C₂²	1	2	yes	complemented
117	#16811276	C₂²	1	2	yes	complemented
118	#16811275	C₂²	1	2	yes	complemented
119	#16811275	C₂²	1	2	yes	complemented
120	#16811275	C₂²	1	2	yes	complemented
121	#16811274	C₂²	1	2	yes	complemented
122	#16811273	C₂²	1	4	yes	complemented
123	#16811270	C₂²	1	2	yes	complemented
124	#16811270	C₂²	1	2	yes	complemented
125	#16811270	C₂²	1	2	yes	complemented
126	#16811269	C₂²	1	4	yes	complemented
127	#16811269	C₂²	1	2	yes	complemented
128	#16811269	C₂²	1	2	yes	complemented
129	#16811269	C₂²	1	4	yes	complemented
130	#16811268	C₂²	1	4	yes	complemented
131	#16811268	C₂²	1	4	yes	complemented
132	#16811268	C₂²	1	2	yes	complemented
133	#16811268	C₂²	1	2	yes	complemented
134	#16811266	C₂²	1	4	yes	complemented
135	#16811266	C₂²	1	4	yes	complemented
136	#16811265	C₂²	1	4	yes	complemented
137	#16811264	C₂²	1	4	yes	complemented
138	#16811264	C₂²	1	2	yes	complemented
139	#16811262	C₂²	1	4	yes	complemented
140	#16811262	C₂²	1	4	yes	complemented
141	D₄×D₂₁₂	C₂²	1	4	yes	complemented
142	D₄×D₂₁₂	C₂²	1	2	yes	complemented
143	#16811257	C₂²	1	4	yes	complemented
144	#16811257	C₂²	1	4	yes	complemented
145	#16811257	C₂²	1	2	yes	complemented
146	#16811254	C₂²	1	1	yes	characteristic, complemented
147	#16811247	C₂²	1	2	yes	complemented
148	#16811247	C₂²	1	2	yes	complemented
149	#16811245	C₂²	1	2	yes	complemented
150	#16811245	C₂²	1	4	yes	complemented
151	#16811244	C₂²	1	4	yes	complemented
152	#16811242	C₂²	1	4	yes	complemented
153	#16811239	C₂²	1	4	yes	complemented
154	#16811238	C₂²	1	2	yes	complemented
155	#16811236	C₂²	1	2	yes	complemented
156	#16811231	C₂²	1	2	yes	complemented
157	#16811229	C₂²	1	2	yes	complemented
158	#16811228	C₂²	1	4	yes	complemented
159	#16811226	C₂²	1	4	yes	complemented
160	#16811225	C₂²	1	4	yes	complemented
161	#16811224	C₂²	1	2	yes	complemented
162	#16811224	C₂²	1	4	yes	complemented
163	#16811221	C₂²	1	4	yes	complemented
164	#16811221	C₂²	1	4	yes	complemented
165	#16811217	C₂²	1	4	yes	complemented
166	#16811214	C₂²	1	4	yes	complemented
167	#16811214	C₂²	1	4	yes	complemented
168	#16811214	C₂²	1	4	yes	complemented
169	#16811212	C₂²	1	4	yes	complemented
170	#16811212	C₂²	1	4	yes	complemented
171	#16811212	C₂²	1	4	yes	complemented
172	#16811212	C₂²	1	4	yes	complemented
173	#16811211	C₂²	1	4	yes	complemented
174	#16811210	C₂²	1	4	yes	complemented
175	#16811209	C₂²	1	4	yes	complemented
176	#16811207	C₂²	1	4	yes	complemented
177	#16811207	C₂²	1	4	yes	complemented
178	#16811207	C₂²	1	4	yes	complemented
179	#16811207	C₂²	1	4	yes	complemented
180	#16811204	C₂²	1	1	yes	characteristic, complemented
181	#16811204	C₂²	1	2	yes	complemented
182	#16811204	C₂²	1	2	yes	complemented
183	#16811203	C₂²	1	2	yes	complemented
184	#16811202	C₂²	1	2	yes	complemented
185	#16811199	C₂²	1	1	yes	characteristic, complemented
186	#16811199	C₂²	1	2	yes	complemented
187	#16811196	C₂²	1	2	yes	complemented
188	#16811194	C₂²	1	1	yes	characteristic, complemented
189	#16811192	C₂²	1	1	yes	characteristic, complemented
190	#16811192	C₂²	1	2	yes	complemented
191	#16811191	C₂²	1	4	yes	complemented
192	#16811189	C₂²	1	4	yes	complemented
193	#16811189	C₂²	1	2	yes	complemented
194	#16811188	C₂²	1	4	yes	complemented
195	#16811187	C₂²	1	1	yes	characteristic, complemented
196	#16811184	C₂²	1	4	yes	complemented
197	#16811183	C₂²	1	4	yes	complemented
198	#16811181	C₂²	1	4	yes	complemented
199	#16811178	C₂²	1	2	yes	complemented
200	#16811177	C₂²	1	2	yes	complemented
201	#16811174	C₂²	1	2	yes	complemented
202	#16811170	C₂²	1	2	yes	complemented
203	#16811160	C₂²	1	2	yes	complemented
204	#16811158	C₂²	1	2	yes	complemented
205	#16811158	C₂²	1	2	yes	complemented
206	#16811157	C₂²	1	4	yes	complemented
207	#16811155	C₂²	1	2	yes	complemented
208	#16811136	C₂²	1	1	yes	characteristic, complemented
209	#16811136	C₂²	1	1	yes	characteristic, complemented
210	#16811136	C₂²	1	1	yes	characteristic, complemented
211	#16811136	C₂²	1	1	yes	characteristic, complemented
212	#16811136	C₂²	1	2	yes	complemented
213	#16811135	C₂²	1	1	yes	characteristic
214	#16811135	C₂²	1	2	yes	complemented
215	#16811135	C₂²	1	2	yes	complemented
216	#16811135	C₂²	1	2	yes	complemented
217	#16811135	C₂²	1	2	yes	complemented
218	#16811135	C₂²	1	1	yes	characteristic, complemented
219	#16811135	C₂²	1	2	yes	complemented
220	#16811135	C₂²	1	2	yes	complemented
221	#16811135	C₂²	1	2	yes	complemented
222	#16811135	C₂²	1	2	yes	complemented
223	#16811135	C₂²	1	2	yes	complemented
224	#16811135	C₂²	1	2	yes	complemented
225	#16811134	C₂²	1	1	yes	characteristic, complemented
226	#16811134	C₂²	1	1	yes	characteristic, complemented
227	#16811133	C₂²	1	1	yes	characteristic, complemented
228	#16811133	C₂²	1	1	yes	characteristic, complemented
229	#16811133	C₂²	1	1	yes	characteristic, complemented
230	#16811133	C₂²	1	1	yes	characteristic, complemented
231	#16811133	C₂²	1	2	yes	complemented
232	#16811132	C₂²	1	2	yes	complemented
233	#16811132	C₂²	1	2	yes	complemented
234	#16811132	C₂²	1	2	yes	complemented
235	#16811132	C₂²	1	2	yes	complemented
236	#16811131	C₂²	1	2	yes	complemented
237	#16811131	C₂²	1	2	yes	complemented
238	#16811131	C₂²	1	4	yes	complemented
239	#16811130	C₂²	1	1	yes	characteristic
240	#16811130	C₂²	1	1	yes	characteristic, complemented
241	#16811129	C₂²	1	2	yes	complemented
242	#16811129	C₂²	1	2	yes	complemented
243	C₂×#13133201	C₂²	1	2	yes	complemented
244	#123×D₅₃	C₂²	1	2	yes	complemented
245	#123×D₅₃	C₂²	1	2	yes	complemented
246	#123×D₅₃	C₂²	1	4	yes	complemented
247	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
248	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
249	C₂×#13133197	C₂²	1	2	yes	complemented
250	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
251	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
252	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
253	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
254	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
255	C₂×#13133192	C₂²	1	1	yes	characteristic, complemented
256	C₂×#13133192	C₂²	1	1	yes	characteristic, complemented
257	C₂×#13133192	C₂²	1	2	yes	complemented
258	#121×D₅₃	C₂²	1	1	yes	characteristic, complemented
259	#121×D₅₃	C₂²	1	1	yes	characteristic, complemented
260	#121×D₅₃	C₂²	1	1	yes	characteristic, complemented
261	#121×D₅₃	C₂²	1	1	yes	characteristic, complemented
262	#121×D₅₃	C₂²	1	2	yes	complemented
263	C₂×#13133187	C₂²	1	2	yes	complemented
264	#120×D₅₃	C₂²	1	2	yes	complemented
265	#120×D₅₃	C₂²	1	2	yes	complemented
266	#16811105	C₂²	1	4	yes	complemented
267	#16811104	C₂²	1	1	yes	characteristic, complemented
268	#16811104	C₂²	1	1	yes	characteristic, complemented
269	#16811103	C₂²	1	4	yes	complemented
270	#16811100	C₂²	1	1	yes	characteristic, complemented
271	#16811097	C₂²	1	1	yes	characteristic, complemented
272	#16811097	C₂²	1	4	yes	complemented
273	#16811095	C₂²	1	4	yes	complemented
274	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
275	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
276	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
277	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
278	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
279	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
280	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
281	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
282	C₅₃×#556	C₂²	1	2	yes	complemented
283	C₅₃×#556	C₂²	1	2	yes	complemented
284	C₅₃×#555	C₂²	1	2	yes	complemented
285	C₅₃×#555	C₂²	1	2	yes	complemented
286	C₅₃×#553	C₂²	1	2	yes	complemented
287	C₅₃×#553	C₂²	1	2	yes	complemented
288	C₅₃×#552	C₂²	1	2	yes	complemented
289	C₅₃×#552	C₂²	1	2	yes	complemented
290	C₅₃×#544	C₂²	1	1	yes	characteristic, complemented
291	C₅₃×#538	C₂²	1	4	yes	complemented
292	C₅₃×#537	C₂²	1	1	yes	characteristic, complemented
293	C₅₃×#529	C₂²	1	4	yes	complemented
294	C₅₃×#525	C₂²	1	1	yes	characteristic, complemented
295	C₅₃×#525	C₂²	1	1	yes	characteristic, complemented
296	C₅₃×#520	C₂²	1	1	yes	characteristic, complemented
297	C₅₃×#520	C₂²	1	1	yes	characteristic, complemented
298	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
299	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
300	#13133264	—	4	4	no	—
301	#13133263	—	4	4	no	—
302	C₂×#11719949	C₂³	1	1	yes	characteristic
303	C₂×#11719949	C₂³	1	4	yes	—
304	C₂×#11719949	C₂³	1	1	yes	characteristic
305	C₂×#11719949	C₂³	1	2	yes	complemented
306	C₂×#11719945	—	4	4	no	—
307	C₂×#11719945	C₂³	1	1	yes	characteristic
308	C₂×#11719945	C₂³	1	1	yes	characteristic
309	C₂×#11719945	C₂³	1	4	yes	—
310	C₂×#11719945	C₂³	1	2	yes	—
311	C₂×#11719945	C₂³	1	2	yes	—
312	C₂×#11719945	C₂³	1	2	yes	—
313	C₂×#11719945	C₂³	1	2	yes	—
314	C₂×#11719945	C₂³	1	2	yes	—
315	C₂×#11719945	C₂³	1	2	yes	—
316	C₂×#11719945	C₂³	1	2	yes	complemented
317	C₂×#11719945	C₂³	1	2	yes	complemented
318	C₂×#11719947	C₂³	1	2	yes	—
319	C₂×#11719947	C₂³	1	1	yes	characteristic
320	C₂×#11719947	C₂³	1	4	yes	—
321	C₂×#11719947	C₂³	1	1	yes	characteristic
322	C₂×#11719947	C₂³	1	2	yes	—
323	C₂×#11719947	C₂³	1	2	yes	complemented
324	#41×D₅₃	—	4	4	no	—
325	#41×D₅₃	—	4	4	no	—
326	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
327	C₂²×Dic₁₀₆	C₂³	1	2	yes	complemented
328	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
329	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
330	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
331	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
332	C₂²×D₂₁₂	C₂³	1	2	yes	—
333	C₂²×D₂₁₂	C₂³	1	2	yes	—
334	C₂²×D₂₁₂	C₂³	1	4	yes	—
335	C₂²×D₂₁₂	C₂³	1	2	yes	complemented
336	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
337	C₂×D₄×D₅₃	C₂³	1	2	yes	—
338	C₂×D₄×D₅₃	C₂³	1	2	yes	—
339	C₂×D₄×D₅₃	C₂³	1	4	yes	—
340	C₂×D₄×D₅₃	C₂³	1	2	yes	—
341	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
342	C₂×D₄×D₅₃	C₂³	1	4	yes	—
343	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
344	C₂×D₄×D₅₃	C₂³	1	2	yes	—
345	C₂×D₄×D₅₃	C₂³	1	2	yes	—
346	C₂×D₄×D₅₃	C₂³	1	2	yes	—
347	C₂×D₄×D₅₃	C₂³	1	2	yes	complemented
348	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
349	C₂²×C₄×D₅₃	—	4	4	no	—
350	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
351	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
352	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
353	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
354	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
355	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
356	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
357	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
358	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
359	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
360	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
361	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
362	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
363	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
364	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
365	#13133217	C₂³	1	2	yes	complemented
366	#13133217	C₂³	1	4	yes	complemented
367	#13133216	C₂³	1	4	yes	complemented
368	#13133216	C₂³	1	2	yes	complemented
369	#13133216	C₂³	1	2	yes	complemented
370	#13133215	C₂³	1	2	yes	complemented
371	#13133214	C₂³	1	4	yes	—
372	#13133214	C₂³	1	2	yes	complemented
373	#13133213	C₂³	1	4	yes	—
374	#13133213	C₂³	1	4	yes	—
375	#13133213	C₂³	1	4	yes	—
376	#13133213	C₂³	1	2	yes	complemented
377	#13133212	C₂³	1	4	yes	—
378	#13133212	C₂³	1	4	yes	—
379	#13133212	C₂³	1	4	yes	—
380	#13133212	C₂³	1	4	yes	complemented
381	#13133212	C₂³	1	4	yes	complemented
382	#13133212	C₂³	1	4	yes	complemented
383	#13133212	C₂³	1	4	yes	complemented
384	#13133212	C₂³	1	4	yes	complemented
385	#13133211	C₂³	1	4	yes	—
386	#13133211	C₂³	1	4	yes	complemented
387	#13133211	C₂³	1	4	yes	complemented
388	#13133211	C₂³	1	4	yes	complemented
389	#13133210	C₂³	1	4	yes	—
390	#13133210	C₂³	1	4	yes	—
391	#13133210	C₂³	1	4	yes	complemented
392	#13133210	C₂³	1	4	yes	complemented
393	#13133209	C₂³	1	4	yes	complemented
394	#13133209	C₂³	1	4	yes	complemented
395	#13133208	C₂³	1	2	yes	complemented
396	#13133208	C₂³	1	4	yes	complemented
397	#13133208	C₂³	1	4	yes	complemented
398	#13133208	C₂³	1	2	yes	complemented
399	#13133208	C₂³	1	4	yes	complemented
400	#13133207	C₂³	1	4	yes	complemented
401	#13133207	C₂³	1	4	yes	complemented
402	#13133206	C₂³	1	4	yes	—
403	#13133206	C₂³	1	4	yes	—
404	#13133206	C₂³	1	2	yes	complemented
405	#13133206	C₂³	1	4	yes	complemented
406	#13133205	C₂³	1	4	yes	—
407	#13133205	C₂³	1	4	yes	—
408	#13133205	C₂³	1	2	yes	complemented
409	#13133205	C₂³	1	2	yes	complemented
410	#13133205	C₂³	1	4	yes	complemented
411	#13133205	C₂³	1	4	yes	complemented
412	#13133204	C₂³	1	2	yes	complemented
413	#13133203	C₂³	1	4	yes	—
414	#13133203	C₂³	1	4	yes	—
415	#13133203	C₂³	1	4	yes	—
416	#13133203	C₂³	1	4	yes	—
417	#13133203	C₂³	1	4	yes	—
418	#13133203	C₂³	1	4	yes	—
419	#13133203	C₂³	1	4	yes	complemented
420	#13133203	C₂³	1	4	yes	complemented
421	#13133202	C₂³	1	4	yes	—
422	#13133202	C₂³	1	4	yes	—
423	#13133202	C₂³	1	4	yes	—
424	#13133202	C₂³	1	4	yes	—
425	#13133202	C₂³	1	4	yes	—
426	#13133202	C₂³	1	4	yes	—
427	#13133202	C₂³	1	2	yes	—
428	#13133202	C₂³	1	4	yes	—
429	#13133202	C₂³	1	2	yes	—
430	#13133202	C₂³	1	2	yes	—
431	#13133202	C₂³	1	2	yes	—
432	#13133202	C₂³	1	4	yes	complemented
433	#13133202	C₂³	1	4	yes	complemented
434	#13133202	C₂³	1	4	yes	complemented
435	#13133202	C₂³	1	4	yes	complemented
436	#13133202	C₂³	1	4	yes	complemented
437	#13133201	C₂³	1	2	yes	—
438	#13133201	C₂³	1	4	yes	—
439	#13133201	C₂³	1	4	yes	—
440	#13133201	C₂³	1	2	yes	—
441	#13133201	C₂³	1	4	yes	—
442	#13133201	C₂³	1	4	yes	—
443	#13133201	C₂³	1	4	yes	—
444	#13133201	C₂³	1	4	yes	—
445	#13133201	C₂³	1	4	yes	complemented
446	#13133201	C₂³	1	4	yes	complemented
447	#13133201	C₂³	1	4	yes	complemented
448	#13133200	C₂³	1	4	yes	—
449	#13133200	C₂³	1	2	yes	—
450	#13133200	C₂³	1	2	yes	—
451	#13133200	C₂³	1	4	yes	complemented
452	#13133199	C₂³	1	4	yes	—
453	#13133199	C₂³	1	4	yes	—
454	#13133199	C₂³	1	4	yes	—
455	#13133199	C₂³	1	4	yes	—
456	#13133199	C₂³	1	4	yes	—
457	#13133199	C₂³	1	2	yes	—
458	#13133199	C₂³	1	2	yes	—
459	#13133199	C₂³	1	2	yes	—
460	#13133199	C₂³	1	2	yes	—
461	#13133199	C₂³	1	4	yes	complemented
462	#13133199	C₂³	1	4	yes	complemented
463	#13133199	C₂³	1	4	yes	complemented
464	#13133199	C₂³	1	4	yes	complemented
465	#13133199	C₂³	1	4	yes	complemented
466	#13133198	C₂³	1	2	yes	—
467	#13133198	C₂³	1	4	yes	—
468	#13133198	C₂³	1	2	yes	—
469	#13133197	C₂³	1	4	yes	—
470	#13133197	C₂³	1	2	yes	—
471	#13133197	C₂³	1	2	yes	—
472	#13133197	C₂³	1	2	yes	—
473	#13133197	C₂³	1	2	yes	—
474	#13133197	C₂³	1	1	yes	characteristic
475	#13133197	C₂³	1	2	yes	—
476	#13133197	C₂³	1	1	yes	characteristic
477	#13133197	C₂³	1	1	yes	characteristic
478	#13133197	C₂³	1	1	yes	characteristic
479	#13133197	C₂³	1	2	yes	—
480	#13133197	C₂³	1	2	yes	—
481	#13133197	C₂³	1	2	yes	—
482	#13133197	C₂³	1	2	yes	complemented
483	#13133197	C₂³	1	4	yes	complemented
484	#13133197	C₂³	1	2	yes	complemented
485	#13133197	C₂³	1	2	yes	complemented
486	#13133197	C₂³	1	4	yes	complemented
487	#13133197	C₂³	1	4	yes	complemented
488	#13133197	C₂³	1	2	yes	complemented
489	#13133196	C₂³	1	4	yes	—
490	#13133196	C₂³	1	1	yes	characteristic
491	#13133196	C₂³	1	1	yes	characteristic
492	#13133196	C₂³	1	1	yes	characteristic
493	#13133196	C₂³	1	1	yes	characteristic
494	#13133196	C₂³	1	2	yes	complemented
495	#13133196	C₂³	1	2	yes	complemented
496	#13133196	C₂³	1	4	yes	complemented
497	#13133195	C₂³	1	4	yes	—
498	#13133195	C₂³	1	4	yes	—
499	#13133195	C₂³	1	2	yes	—
500	#13133195	C₂³	1	2	yes	—
501	#13133195	C₂³	1	2	yes	—
502	#13133195	C₂³	1	2	yes	—
503	#13133195	C₂³	1	4	yes	complemented
504	#13133195	C₂³	1	4	yes	complemented
505	#13133195	C₂³	1	4	yes	complemented
506	#13133195	C₂³	1	4	yes	complemented
507	#13133194	C₂³	1	2	yes	—
508	#13133194	C₂³	1	2	yes	—
509	#13133194	C₂³	1	2	yes	—
510	#13133194	C₂³	1	2	yes	—
511	#13133194	C₂³	1	4	yes	complemented
512	#13133194	C₂³	1	4	yes	complemented
513	#13133193	C₂³	1	4	yes	—
514	#13133193	C₂³	1	1	yes	characteristic
515	#13133193	C₂³	1	1	yes	characteristic
516	#13133193	C₂³	1	1	yes	characteristic
517	#13133193	C₂³	1	1	yes	characteristic
518	#13133193	C₂³	1	4	yes	complemented
519	#13133193	C₂³	1	4	yes	complemented
520	#13133192	C₂³	1	2	yes	—
521	#13133192	C₂³	1	4	yes	—
522	#13133192	C₂³	1	4	yes	—
523	#13133192	C₂³	1	4	yes	—
524	#13133192	C₂³	1	4	yes	—
525	#13133192	C₂³	1	4	yes	—
526	#13133192	C₂³	1	4	yes	—
527	#13133192	C₂³	1	2	yes	—
528	#13133192	C₂³	1	2	yes	—
529	#13133192	C₂³	1	2	yes	—
530	#13133192	C₂³	1	4	yes	—
531	#13133192	C₂³	1	1	yes	characteristic
532	#13133192	C₂³	1	2	yes	—
533	#13133192	C₂³	1	1	yes	characteristic
534	#13133192	C₂³	1	1	yes	characteristic
535	#13133192	C₂³	1	1	yes	characteristic
536	#13133192	C₂³	1	2	yes	—
537	#13133192	C₂³	1	2	yes	—
538	#13133192	C₂³	1	2	yes	—
539	#13133192	C₂³	1	2	yes	complemented
540	#13133192	C₂³	1	4	yes	complemented
541	#13133192	C₂³	1	2	yes	complemented
542	#13133192	C₂³	1	2	yes	complemented
543	#13133192	C₂³	1	2	yes	complemented
544	#13133191	C₂³	1	4	yes	—
545	#13133191	C₂³	1	4	yes	—
546	#13133191	C₂³	1	4	yes	—
547	#13133191	C₂³	1	1	yes	characteristic
548	#13133191	C₂³	1	1	yes	characteristic
549	#13133191	C₂³	1	4	yes	—
550	#13133191	C₂³	1	1	yes	characteristic
551	#13133191	C₂³	1	1	yes	characteristic
552	#13133191	C₂³	1	4	yes	complemented
553	#13133191	C₂³	1	4	yes	complemented
554	#13133191	C₂³	1	2	yes	complemented
555	#13133191	C₂³	1	2	yes	complemented
556	#13133190	C₂³	1	4	yes	—
557	#13133190	C₂³	1	2	yes	—
558	#13133190	C₂³	1	4	yes	—
559	#13133190	C₂³	1	4	yes	—
560	#13133190	C₂³	1	2	yes	—
561	#13133190	C₂³	1	4	yes	—
562	#13133190	C₂³	1	4	yes	—
563	#13133190	C₂³	1	4	yes	—
564	#13133190	C₂³	1	4	yes	—
565	#13133190	C₂³	1	4	yes	—
566	#13133190	C₂³	1	4	yes	—
567	#13133190	C₂³	1	4	yes	—
568	#13133190	C₂³	1	4	yes	—
569	#13133190	C₂³	1	2	yes	—
570	#13133190	C₂³	1	2	yes	—
571	#13133190	C₂³	1	4	yes	complemented
572	#13133190	C₂³	1	4	yes	complemented
573	#13133190	C₂³	1	4	yes	complemented
574	#13133189	C₂³	1	4	yes	—
575	#13133189	C₂³	1	4	yes	—
576	#13133189	C₂³	1	4	yes	—
577	#13133189	C₂³	1	2	yes	—
578	#13133189	C₂³	1	2	yes	—
579	#13133189	C₂³	1	2	yes	—
580	#13133189	C₂³	1	2	yes	—
581	#13133189	C₂³	1	4	yes	complemented
582	#13133188	C₂³	1	4	yes	—
583	#13133188	C₂³	1	4	yes	—
584	#13133188	C₂³	1	1	yes	characteristic
585	#13133188	C₂³	1	1	yes	characteristic
586	#13133188	C₂³	1	1	yes	characteristic
587	#13133188	C₂³	1	1	yes	characteristic
588	#13133188	C₂³	1	4	yes	complemented
589	#13133187	C₂³	1	2	yes	—
590	#13133187	C₂³	1	4	yes	—
591	#13133187	C₂³	1	4	yes	—
592	#13133187	C₂³	1	4	yes	—
593	#13133187	C₂³	1	4	yes	—
594	#13133187	C₂³	1	4	yes	—
595	#13133187	C₂³	1	4	yes	—
596	#13133187	C₂³	1	4	yes	—
597	#13133187	C₂³	1	2	yes	—
598	#13133187	C₂³	1	4	yes	—
599	#13133187	C₂³	1	2	yes	—
600	#13133187	C₂³	1	2	yes	—
601	#13133187	C₂³	1	2	yes	—
602	#13133187	C₂³	1	2	yes	—
603	#13133187	C₂³	1	4	yes	—
604	#13133187	C₂³	1	4	yes	—
605	#13133187	C₂³	1	4	yes	complemented
606	#13133186	C₂³	1	2	yes	—
607	#13133186	C₂³	1	2	yes	—
608	#13133185	C₂³	1	2	yes	—
609	#13133185	C₂³	1	4	yes	—
610	#13133185	C₂³	1	4	yes	—
611	#13133185	C₂³	1	4	yes	—
612	#13133185	C₂³	1	4	yes	—
613	#13133185	C₂³	1	2	yes	—
614	#13133185	C₂³	1	2	yes	—
615	#13133185	C₂³	1	2	yes	—
616	#13133185	C₂³	1	2	yes	—
617	#13133185	C₂³	1	2	yes	—
618	#13133185	C₂³	1	4	yes	complemented
619	Q₈×Dic₅₃	C₂³	1	4	yes	complemented
620	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
621	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
622	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
623	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
624	#13133182	C₂³	1	2	yes	complemented
625	#13133182	C₂³	1	2	yes	complemented
626	#13133182	C₂³	1	2	yes	complemented
627	#13133182	C₂³	1	2	yes	complemented
628	C₄×D₂₁₂	C₂³	1	4	yes	—
629	C₄×D₂₁₂	C₂³	1	4	yes	—
630	C₄×D₂₁₂	C₂³	1	4	yes	—
631	C₄×D₂₁₂	C₂³	1	2	yes	—
632	C₄×D₂₁₂	C₂³	1	2	yes	—
633	C₄×D₂₁₂	C₂³	1	4	yes	—
634	C₄×D₂₁₂	C₂³	1	2	yes	—
635	C₄×D₂₁₂	C₂³	1	4	yes	—
636	C₄×D₂₁₂	C₂³	1	2	yes	—
637	C₄×D₂₁₂	C₂³	1	4	yes	—
638	C₄×D₂₁₂	C₂³	1	4	yes	—
639	C₄×D₂₁₂	C₂³	1	4	yes	—
640	C₄×D₂₁₂	C₂³	1	4	yes	—
641	C₄×D₂₁₂	C₂³	1	4	yes	—
642	C₄×D₂₁₂	C₂³	1	4	yes	—
643	C₄×D₂₁₂	C₂³	1	4	yes	complemented
644	C₄×D₂₁₂	C₂³	1	4	yes	complemented
645	C₄×D₂₁₂	C₂³	1	2	yes	complemented
646	C₄×D₂₁₂	C₂³	1	2	yes	complemented
647	C₄×D₂₁₂	C₂³	1	4	yes	complemented
648	D₄×Dic₅₃	C₂³	1	2	yes	—
649	D₄×Dic₅₃	C₂³	1	2	yes	—
650	D₄×Dic₅₃	C₂³	1	2	yes	—
651	D₄×Dic₅₃	C₂³	1	2	yes	—
652	D₄×Dic₅₃	C₂³	1	4	yes	complemented
653	#13133179	C₂³	1	4	yes	—
654	#13133179	C₂³	1	4	yes	—
655	#13133179	C₂³	1	2	yes	—
656	#13133179	C₂³	1	4	yes	—
657	#13133179	C₂³	1	2	yes	—
658	#13133179	C₂³	1	2	yes	—
659	#13133179	C₂³	1	2	yes	—
660	#13133179	C₂³	1	2	yes	complemented
661	#13133179	C₂³	1	2	yes	complemented
662	#13133179	C₂³	1	2	yes	complemented
663	#13133179	C₂³	1	2	yes	complemented
664	#13133179	C₂³	1	4	yes	complemented
665	#13133179	C₂³	1	4	yes	complemented
666	#13133179	C₂³	1	4	yes	complemented
667	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
668	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
669	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
670	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
671	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
672	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
673	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
674	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
675	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
676	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
677	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
678	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
679	#13133177	C₂³	1	4	yes	—
680	#13133177	C₂³	1	2	yes	—
681	#13133177	C₂³	1	2	yes	—
682	#13133177	C₂³	1	2	yes	—
683	#13133177	C₂³	1	2	yes	—
684	#13133177	C₂³	1	2	yes	—
685	#13133177	C₂³	1	2	yes	—
686	#13133177	C₂³	1	2	yes	—
687	#13133177	C₂³	1	2	yes	—
688	#13133177	C₂³	1	4	yes	complemented
689	#13133177	C₂³	1	4	yes	complemented
690	#13133177	C₂³	1	4	yes	complemented
691	#13133176	C₂³	1	1	yes	characteristic
692	#13133176	C₂³	1	1	yes	characteristic
693	#13133176	C₂³	1	4	yes	complemented
694	#13133175	C₂³	1	4	yes	—
695	#13133175	C₂³	1	1	yes	characteristic
696	#13133175	C₂³	1	1	yes	characteristic
697	#13133175	C₂³	1	1	yes	characteristic
698	#13133175	C₂³	1	1	yes	characteristic
699	#13133175	C₂³	1	4	yes	complemented
700	#13133175	C₂³	1	4	yes	complemented
701	#13133175	C₂³	1	2	yes	complemented
702	#13133175	C₂³	1	2	yes	complemented
703	#13133174	C₂³	1	4	yes	—
704	#13133174	C₂³	1	2	yes	—
705	#13133174	C₂³	1	2	yes	—
706	#13133174	C₂³	1	4	yes	complemented
707	#13133174	C₂³	1	4	yes	complemented
708	#13133174	C₂³	1	4	yes	complemented
709	#13133173	C₂³	1	2	yes	—
710	#13133173	C₂³	1	4	yes	—
711	#13133173	C₂³	1	2	yes	—
712	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
713	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
714	C₂×C₄⋊Dic₅₃	C₂³	1	4	yes	complemented
715	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
716	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
717	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
718	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
719	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
720	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
721	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
722	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
723	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
724	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
725	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
726	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
727	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
728	C₂×#11719921	C₂³	1	4	yes	—
729	C₂×#11719921	C₂³	1	2	yes	—
730	C₂×#11719921	C₂³	1	2	yes	—
731	C₂×#11719921	C₂³	1	2	yes	—
732	C₂×#11719921	C₂³	1	2	yes	—
733	C₂×#11719921	C₂³	1	4	yes	complemented
734	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
735	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
736	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
737	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
738	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
739	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
740	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
741	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
742	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
743	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
744	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
745	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
746	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
747	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
748	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
749	C₄²×D₅₃	C₂³	1	2	yes	—
750	C₄²×D₅₃	C₂³	1	2	yes	—
751	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
752	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
753	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
754	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
755	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
756	#126×C₅₃	C₂³	1	4	yes	—
757	#126×C₅₃	C₂³	1	4	yes	—
758	#126×C₅₃	C₂³	1	4	yes	complemented
759	#126×C₅₃	C₂³	1	4	yes	complemented
760	#125×C₅₃	C₂³	1	4	yes	complemented
761	#125×C₅₃	C₂³	1	2	yes	complemented
762	#125×C₅₃	C₂³	1	2	yes	complemented
763	#124×C₅₃	C₂³	1	4	yes	—
764	#124×C₅₃	C₂³	1	4	yes	—
765	#124×C₅₃	C₂³	1	4	yes	complemented
766	#123×C₅₃	C₂³	1	4	yes	—
767	#123×C₅₃	C₂³	1	4	yes	—
768	#123×C₅₃	C₂³	1	2	yes	—
769	#123×C₅₃	C₂³	1	2	yes	—
770	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
771	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
772	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
773	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
774	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
775	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
776	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
777	#121×C₅₃	C₂³	1	1	yes	characteristic
778	#121×C₅₃	C₂³	1	1	yes	characteristic
779	#121×C₅₃	C₂³	1	4	yes	—
780	#121×C₅₃	C₂³	1	1	yes	characteristic
781	#121×C₅₃	C₂³	1	1	yes	characteristic
782	#121×C₅₃	C₂³	1	4	yes	—
783	#121×C₅₃	C₂³	1	4	yes	—
784	#121×C₅₃	C₂³	1	2	yes	complemented
785	#121×C₅₃	C₂³	1	2	yes	complemented
786	#120×C₅₃	C₂³	1	2	yes	—
787	#120×C₅₃	C₂³	1	2	yes	—
788	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
789	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
790	C₄×Q₈×C₅₃	C₂³	1	4	yes	complemented
791	C₄×D₄×C₅₃	C₂³	1	4	yes	—
792	C₄×D₄×C₅₃	C₂³	1	4	yes	—
793	C₄×D₄×C₅₃	C₂³	1	2	yes	—
794	C₄×D₄×C₅₃	C₂³	1	2	yes	—
795	C₄×D₄×C₅₃	C₂³	1	2	yes	—
796	C₄×D₄×C₅₃	C₂³	1	2	yes	—
797	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
798	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
799	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
800	#117×C₅₃	C₂³	1	2	yes	—
801	#117×C₅₃	C₂³	1	2	yes	—
802	#117×C₅₃	C₂³	1	2	yes	—
803	#117×C₅₃	C₂³	1	2	yes	—
804	#117×C₅₃	C₂³	1	1	yes	characteristic
805	#117×C₅₃	C₂³	1	1	yes	characteristic
806	#117×C₅₃	C₂³	1	4	yes	complemented
807	#117×C₅₃	C₂³	1	4	yes	complemented
808	#117×C₅₃	C₂³	1	2	yes	complemented
809	#117×C₅₃	C₂³	1	2	yes	complemented
810	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
811	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
812	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
813	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
814	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
815	C₂×C₄²×C₅₃	C₂³	1	2	yes	—
816	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
817	C₂³×D₅₃	—	4	2	no	—
818	C₂³×D₅₃	—	4	2	no	—
819	C₂³×D₅₃	—	4	2	no	—
820	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
821	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
822	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
823	C₂³×D₅₃	C₂⁴	1	2	yes	—
824	C₂³×D₅₃	C₂⁴	1	2	yes	—
825	C₂³×D₅₃	C₂⁴	1	2	yes	—
826	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
827	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
828	C₂³×D₅₃	C₂⁴	1	4	yes	—
829	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
830	#41×C₅₃	—	2	4	no	—
831	#41×C₅₃	—	2	4	no	—
832	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
833	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
834	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
835	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
836	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
837	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
838	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
839	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
840	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
841	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
842	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
843	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
844	C₂²×C₄×C₅₃	—	2	4	no	—
845	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
846	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
847	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
848	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
849	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
850	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
851	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
852	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
853	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
854	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
855	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
856	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
857	C₂×C₂²⋊D₅₃	—	4	4	no	—
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	2	yes	—
862	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
863	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
864	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
865	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
866	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
867	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
868	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
870	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
871	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
872	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
873	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
874	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
875	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
876	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
877	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
878	C₂²×Dic₅₃	—	4	2	no	—
879	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
880	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
881	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
882	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
883	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
884	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
885	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
886	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
887	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
888	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
889	#11719949	—	4	8	no	—
890	#11719949	—	4	2	no	—
891	#11719949	—	4	2	no	—
892	#11719949	—	4	4	no	—
893	Q₈×D₅₃	—	4	2	no	—
894	Q₈×D₅₃	—	4	2	no	—
895	Q₈×D₅₃	—	4	4	no	—
896	#11719947	—	4	2	no	—
897	#11719947	—	4	2	no	—
898	#11719947	—	4	4	no	—
899	#11719947	—	4	4	no	—
900	#11719947	—	4	4	no	—
901	#11719947	—	4	8	no	—
902	D₄×D₅₃	—	4	2	no	—
903	D₄×D₅₃	—	4	2	no	—
904	D₄×D₅₃	—	4	4	no	—
905	D₄×D₅₃	—	4	4	no	—
906	D₄×D₅₃	—	4	4	no	—
907	D₄×D₅₃	—	4	4	no	—
908	D₄×D₅₃	—	4	8	no	—
909	D₄×D₅₃	—	4	4	no	—
910	D₄×D₅₃	—	4	4	no	—
911	D₄×D₅₃	—	4	4	no	—
912	D₄×D₅₃	—	4	8	no	—
913	#11719945	—	2	4	no	—
914	#11719945	—	2	4	no	—
915	#11719945	—	4	4	no	—
916	#11719945	—	4	4	no	—
917	#11719945	—	4	4	no	—
918	#11719945	—	4	4	no	—
919	#11719945	—	4	4	no	—
920	#11719945	—	4	4	no	—
921	#11719945	—	4	4	no	—
922	#11719945	—	4	4	no	—
923	#11719945	—	4	8	no	—
924	C₂×D₂₁₂	—	2	4	no	—
925	C₂×D₂₁₂	—	4	4	no	—
926	C₂×D₂₁₂	—	4	4	no	—
927	C₂×D₂₁₂	—	4	8	no	—
928	C₂×D₂₁₂	—	4	4	no	—
929	C₂×D₂₁₂	C₂⁴	1	2	yes	—
930	C₂×D₂₁₂	C₂⁴	1	4	yes	—
931	C₂×D₂₁₂	C₂⁴	1	2	yes	—
932	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
933	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
934	C₂×D₂₁₂	C₂⁴	1	2	yes	—
935	C₂×D₂₁₂	C₂⁴	1	4	yes	—
936	C₂×D₂₁₂	C₂⁴	1	2	yes	—
937	C₂×D₂₁₂	C₂⁴	1	2	yes	—
938	C₂×D₂₁₂	C₂⁴	1	2	yes	—
939	C₂×D₂₁₂	C₂⁴	1	4	yes	—
940	C₂×D₂₁₂	C₂⁴	1	4	yes	—
941	C₂×D₂₁₂	C₂⁴	1	4	yes	—
942	C₂×D₂₁₂	C₂⁴	1	4	yes	—
943	C₂×D₂₁₂	C₂⁴	1	4	yes	—
944	C₂×D₂₁₂	C₂⁴	1	2	yes	—
945	C₂×D₂₁₂	C₂⁴	1	2	yes	—
946	C₂×D₂₁₂	C₂⁴	1	4	yes	—
947	C₂×C₄×D₅₃	—	2	4	no	—
948	C₂×C₄×D₅₃	—	2	4	no	—
949	C₂×C₄×D₅₃	—	4	2	no	—
950	C₂×C₄×D₅₃	—	4	2	no	—
951	C₂×C₄×D₅₃	—	4	2	no	—
952	C₂×C₄×D₅₃	—	4	2	no	—
953	C₂×C₄×D₅₃	—	4	2	no	—
954	C₂×C₄×D₅₃	—	4	2	no	—
955	C₂×C₄×D₅₃	—	4	2	no	—
956	C₂×C₄×D₅₃	—	4	2	no	—
957	C₂×C₄×D₅₃	—	4	4	no	—
958	C₂×C₄×D₅₃	—	4	4	no	—
959	C₂×C₄×D₅₃	—	4	2	no	—
960	C₂×C₄×D₅₃	—	4	2	no	—
961	C₂×C₄×D₅₃	—	4	4	no	—
962	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
963	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
964	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
965	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
966	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
967	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
968	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
969	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
970	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
971	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
972	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
973	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
974	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
975	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
976	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
977	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
978	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
979	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
980	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
981	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
982	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
983	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
984	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
985	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
986	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
987	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
988	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
989	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
990	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
991	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
992	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
993	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
994	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
995	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
996	C₂×Dic₁₀₆	—	2	4	no	—
997	C₂×Dic₁₀₆	—	4	4	no	—
998	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
999	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
1000	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
1001	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
1002	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
1003	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
1004	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
1005	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
1006	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1007	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1008	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1009	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1010	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1011	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1012	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1013	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1014	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1015	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1016	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1017	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1018	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1019	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1020	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1021	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1022	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1023	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1024	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1025	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1026	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1027	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1028	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1029	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1030	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1031	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1032	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1033	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1034	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1035	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1036	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1037	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1038	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1039	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1040	C₄²×C₅₃	C₂⁴	1	4	yes	—
1041	C₄²×C₅₃	C₂⁴	1	4	yes	—
1042	C₄²×C₅₃	C₂⁴	1	2	yes	—
1043	C₄²×C₅₃	C₂⁴	1	2	yes	—
1044	C₄²×C₅₃	C₂⁴	1	4	yes	—
1045	C₄²×C₅₃	C₂⁴	1	4	yes	—
1046	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1047	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1048	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1049	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1050	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1051	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1052	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1053	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1054	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1055	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1056	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1057	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1058	#11719921	C₂⁴	1	2	yes	—
1059	#11719921	C₂⁴	1	2	yes	—
1060	#11719921	C₂⁴	1	2	yes	—
1061	#11719921	C₂⁴	1	2	yes	—
1062	#11719921	C₂⁴	1	4	yes	—
1063	#11719921	C₂⁴	1	2	yes	—
1064	#11719921	C₂⁴	1	2	yes	—
1065	#11719921	C₂⁴	1	2	yes	—
1066	#11719921	C₂⁴	1	2	yes	—
1067	#11719921	C₂⁴	1	2	yes	—
1068	#11719921	C₂⁴	1	2	yes	—
1069	#11719921	C₂⁴	1	2	yes	—
1070	#11719921	C₂⁴	1	2	yes	—
1071	#11719921	C₂⁴	1	2	yes	—
1072	#11719921	C₂⁴	1	2	yes	—
1073	#11719921	C₂⁴	1	2	yes	—
1074	#11719921	C₂⁴	1	2	yes	—
1075	#11719921	C₂⁴	1	2	yes	—
1076	#11719921	C₂⁴	1	2	yes	—
1077	#11719921	C₂⁴	1	2	yes	—
1078	#11719921	C₂⁴	1	2	yes	—
1079	#11719921	C₂⁴	1	4	yes	—
1080	#11719921	C₂⁴	1	4	yes	—
1081	#11719921	C₂⁴	1	4	yes	—
1082	#11719921	C₂⁴	1	4	yes	—
1083	#11719921	C₂⁴	1	4	yes	—
1084	#11719921	C₂⁴	1	4	yes	—
1085	#11719921	C₂⁴	1	4	yes	—
1086	#11719921	C₂⁴	1	4	yes	—
1087	#11719921	C₂⁴	1	4	yes	—
1088	#11719921	C₂⁴	1	4	yes	—
1089	#11719921	C₂⁴	1	4	yes	—
1090	#11719921	C₂⁴	1	4	yes	—
1091	#11719921	C₂⁴	1	4	yes	—
1092	#11719921	C₂⁴	1	4	yes	—
1093	#11719921	C₂⁴	1	4	yes	—
1094	#11719921	C₂⁴	1	4	yes	—
1095	#11719921	C₂⁴	1	4	yes	—
1096	#11719921	C₂⁴	1	4	yes	—
1097	#11719921	C₂⁴	1	4	yes	—
1098	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1099	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1100	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1101	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1102	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1103	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1104	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1105	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1106	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1107	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1108	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1109	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1110	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1111	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1112	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1113	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1114	#11719919	C₂⁴	1	2	yes	—
1115	#11719919	C₂⁴	1	2	yes	—
1116	#11719919	C₂⁴	1	2	yes	—
1117	#11719919	C₂⁴	1	2	yes	—
1118	#11719919	C₂⁴	1	2	yes	—
1119	#11719919	C₂⁴	1	2	yes	—
1120	#11719919	C₂⁴	1	2	yes	—
1121	#11719919	C₂⁴	1	2	yes	—
1122	#11719919	C₂⁴	1	2	yes	—
1123	#11719919	C₂⁴	1	2	yes	—
1124	#11719919	C₂⁴	1	2	yes	—
1125	#11719919	C₂⁴	1	2	yes	—
1126	#11719919	C₂⁴	1	4	yes	—
1127	#11719919	C₂⁴	1	4	yes	—
1128	#11719919	C₂⁴	1	4	yes	—
1129	#11719919	C₂⁴	1	4	yes	—
1130	#11719919	C₂⁴	1	4	yes	—
1131	#11719919	C₂⁴	1	4	yes	—
1132	#11719919	C₂⁴	1	4	yes	—
1133	#11719919	C₂⁴	1	4	yes	—
1134	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1135	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1136	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1137	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1138	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1139	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1140	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1141	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1142	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1143	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1144	C₂³×C₅₃	—	2	2	no	—
1145	C₂³×C₅₃	—	4	1	no	—
1146	C₂³×C₅₃	—	4	1	no	—
1147	C₂³×C₅₃	C₂⁵	1	2	yes	—
1148	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1149	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1150	C₂³×C₅₃	C₂⁵	1	2	yes	—
1151	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1152	C₂²×D₅₃	—	2	2	no	—
1153	C₂²×D₅₃	—	2	2	no	—
1154	C₂²×D₅₃	—	2	4	no	—
1155	C₂²×D₅₃	—	2	2	no	—
1156	C₂²×D₅₃	—	2	2	no	—
1157	C₂²×D₅₃	—	2	2	no	—
1158	C₂²×D₅₃	—	2	2	no	—
1159	C₂²×D₅₃	—	2	2	no	—
1160	C₂²×D₅₃	—	2	2	no	—
1161	C₂²×D₅₃	—	2	4	no	—
1162	C₂²×D₅₃	—	2	4	no	—
1163	C₂²×D₅₃	—	4	1	no	—
1164	C₂²×D₅₃	—	4	1	no	—
1165	C₂²×D₅₃	—	4	1	no	—
1166	C₂²×D₅₃	—	4	1	no	—
1167	C₂²×D₅₃	—	4	1	no	—
1168	C₂²×D₅₃	—	4	1	no	—
1169	C₂²×D₅₃	—	4	1	no	—
1170	C₂²×D₅₃	—	4	1	no	—
1171	C₂²×D₅₃	—	4	1	no	—
1172	C₂²×D₅₃	—	4	1	no	—
1173	C₂²×D₅₃	—	4	2	no	—
1174	C₂²×D₅₃	—	4	2	no	—
1175	C₂²×D₅₃	—	4	2	no	—
1176	C₂²×D₅₃	—	4	2	no	—
1177	C₂²×D₅₃	—	4	2	no	—
1178	C₂²×D₅₃	—	4	2	no	—
1179	C₂²×D₅₃	—	4	4	no	—
1180	C₂²×D₅₃	—	4	4	no	—
1181	C₂²×D₅₃	—	4	4	no	—
1182	C₂²×D₅₃	—	4	16	no	—
1183	C₂²×D₅₃	C₂⁵	1	2	yes	—
1184	C₂²×D₅₃	C₂⁵	1	4	yes	—
1185	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1186	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1187	C₂²×D₅₃	C₂⁵	1	2	yes	—
1188	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1189	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1190	Q₈×C₅₃	—	2	2	no	—
1191	Q₈×C₅₃	—	2	2	no	—
1192	Q₈×C₅₃	—	4	4	no	—
1193	D₄×C₅₃	—	2	4	no	—
1194	D₄×C₅₃	—	2	4	no	—
1195	D₄×C₅₃	—	2	2	no	—
1196	D₄×C₅₃	—	2	2	no	—
1197	D₄×C₅₃	—	4	2	no	—
1198	D₄×C₅₃	—	4	2	no	—
1199	D₄×C₅₃	—	4	2	no	—
1200	D₄×C₅₃	—	4	4	no	—
1201	D₄×C₅₃	—	4	2	no	—
1202	C₂×C₄×C₅₃	—	2	2	no	—
1203	C₂×C₄×C₅₃	—	2	4	no	—
1204	C₂×C₄×C₅₃	—	2	2	no	—
1205	C₂×C₄×C₅₃	—	2	2	no	—
1206	C₂×C₄×C₅₃	—	2	2	no	—
1207	C₂×C₄×C₅₃	—	2	2	no	—
1208	C₂×C₄×C₅₃	—	2	4	no	—
1209	C₂×C₄×C₅₃	—	4	2	no	—
1210	C₂×C₄×C₅₃	—	4	4	no	—
1211	C₂×C₄×C₅₃	—	4	2	no	—
1212	C₂×C₄×C₅₃	—	4	4	no	—
1213	C₂×C₄×C₅₃	H(5,𝔽₂)	1	4	yes	—
1214	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1215	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1216	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1217	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1218	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1219	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1220	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1221	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1222	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1223	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1224	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1225	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1226	C₂²⋊D₅₃	—	2	4	no	—
1227	C₂²⋊D₅₃	—	2	4	no	—
1228	C₂²⋊D₅₃	—	2	4	no	—
1229	C₂²⋊D₅₃	—	2	4	no	—
1230	C₂²⋊D₅₃	—	4	4	no	—
1231	C₂²⋊D₅₃	—	4	4	no	—
1232	C₂²⋊D₅₃	—	4	4	no	—
1233	C₂²⋊D₅₃	—	4	2	no	—
1234	C₂²⋊D₅₃	—	4	2	no	—
1235	C₂²⋊D₅₃	—	4	2	no	—
1236	C₂²⋊D₅₃	—	4	2	no	—
1237	C₂²⋊D₅₃	—	4	4	no	—
1238	C₂²⋊D₅₃	—	4	4	no	—
1239	C₂²⋊D₅₃	—	4	2	no	—
1240	C₂²⋊D₅₃	—	4	2	no	—
1241	C₂²⋊D₅₃	—	4	2	no	—
1242	C₂²⋊D₅₃	—	4	2	no	—
1243	C₂²⋊D₅₃	—	4	2	no	—
1244	C₂²⋊D₅₃	—	4	2	no	—
1245	C₂²⋊D₅₃	—	4	4	no	—
1246	C₂×Dic₅₃	—	2	4	no	—
1247	C₂×Dic₅₃	—	2	2	no	—
1248	C₂×Dic₅₃	—	2	2	no	—
1249	C₂×Dic₅₃	—	4	4	no	—
1250	C₂×Dic₅₃	—	4	1	no	—
1251	C₂×Dic₅₃	—	4	1	no	—
1252	C₂×Dic₅₃	—	4	1	no	—
1253	C₂×Dic₅₃	—	4	1	no	—
1254	C₂×Dic₅₃	—	4	2	no	—
1255	C₂×Dic₅₃	—	4	2	no	—
1256	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1257	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1258	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1259	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1260	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1261	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1262	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1263	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1264	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1265	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1266	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1267	D₂₁₂	—	2	8	no	—
1268	D₂₁₂	—	2	4	no	—
1269	D₂₁₂	—	2	8	no	—
1270	D₂₁₂	—	2	4	no	—
1271	D₂₁₂	—	2	4	no	—
1272	D₂₁₂	—	2	4	no	—
1273	D₂₁₂	—	2	2	no	—
1274	D₂₁₂	—	2	2	no	—
1275	D₂₁₂	—	4	4	no	—
1276	D₂₁₂	—	4	4	no	—
1277	D₂₁₂	—	4	4	no	—
1278	D₂₁₂	—	4	4	no	—
1279	D₂₁₂	—	4	4	no	—
1280	D₂₁₂	—	4	2	no	—
1281	D₂₁₂	—	4	2	no	—
1282	D₂₁₂	—	4	2	no	—
1283	D₂₁₂	—	4	2	no	—
1284	D₂₁₂	—	4	4	no	—
1285	C₄×D₅₃	—	2	4	no	—
1286	C₄×D₅₃	—	2	4	no	—
1287	C₄×D₅₃	—	2	2	no	—
1288	C₄×D₅₃	—	2	2	no	—
1289	C₄×D₅₃	—	2	2	no	—
1290	C₄×D₅₃	—	2	2	no	—
1291	C₄×D₅₃	—	2	2	no	—
1292	C₄×D₅₃	—	2	2	no	—
1293	C₄×D₅₃	—	2	2	no	—
1294	C₄×D₅₃	—	2	2	no	—
1295	C₄×D₅₃	—	2	4	no	—
1296	C₄×D₅₃	—	2	4	no	—
1297	C₄×D₅₃	—	4	1	no	—
1298	C₄×D₅₃	—	4	1	no	—
1299	C₄×D₅₃	—	4	1	no	—
1300	C₄×D₅₃	—	4	1	no	—
1301	C₄×D₅₃	—	4	1	no	—
1302	C₄×D₅₃	—	4	1	no	—
1303	C₄×D₅₃	—	4	1	no	—
1304	C₄×D₅₃	—	4	1	no	—
1305	C₄×D₅₃	—	4	4	no	—
1306	C₄×D₅₃	—	4	4	no	—
1307	C₄×D₅₃	—	4	2	no	—
1308	C₄×D₅₃	—	4	2	no	—
1309	C₄×D₅₃	—	4	2	no	—
1310	C₄×D₅₃	—	4	2	no	—
1311	C₄×D₅₃	—	4	4	no	—
1312	C₄×D₅₃	—	4	4	no	—
1313	C₄×D₅₃	—	4	4	no	—
1314	C₄×D₅₃	—	4	2	no	—
1315	C₄×D₅₃	—	4	2	no	—
1316	C₄×D₅₃	—	4	4	no	—
1317	C₄×D₅₃	—	4	4	no	—
1318	C₄×D₅₃	—	4	4	no	—
1319	Dic₁₀₆	—	2	4	no	—
1320	Dic₁₀₆	—	2	4	no	—
1321	Dic₁₀₆	—	2	2	no	—
1322	Dic₁₀₆	—	2	2	no	—
1323	Dic₁₀₆	—	4	4	no	—
1324	Dic₁₀₆	—	4	4	no	—
1325	Dic₁₀₆	—	4	2	no	—
1326	Dic₁₀₆	—	4	2	no	—
1327	#62821	—	53	1	no	maximal, Sylow
1328	C₂²×C₅₃	—	2	1	no	—
1329	C₂²×C₅₃	—	2	1	no	—
1330	C₂²×C₅₃	—	2	2	no	—
1331	C₂²×C₅₃	—	2	1	no	—
1332	C₂²×C₅₃	—	2	1	no	—
1333	C₂²×C₅₃	—	2	2	no	—
1334	C₂²×C₅₃	—	2	2	no	—
1335	C₂²×C₅₃	—	2	2	no	—
1336	C₂²×C₅₃	—	2	2	no	—
1337	C₂²×C₅₃	—	2	1	no	—
1338	C₂²×C₅₃	—	2	1	no	—
1339	C₂²×C₅₃	—	2	1	no	—
1340	C₂²×C₅₃	—	2	1	no	—
1341	C₂²×C₅₃	—	2	2	no	—
1342	C₂²×C₅₃	—	4	4	no	—
1343	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1344	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1345	C₂×D₅₃	—	2	1	no	—
1346	C₂×D₅₃	—	2	1	no	—
1347	C₂×D₅₃	—	2	1	no	—
1348	C₂×D₅₃	—	2	1	no	—
1349	C₂×D₅₃	—	2	1	no	—
1350	C₂×D₅₃	—	2	1	no	—
1351	C₂×D₅₃	—	2	2	no	—
1352	C₂×D₅₃	—	2	2	no	—
1353	C₂×D₅₃	—	2	4	no	—
1354	C₂×D₅₃	—	2	2	no	—
1355	C₂×D₅₃	—	2	2	no	—
1356	C₂×D₅₃	—	2	4	no	—
1357	C₂×D₅₃	—	2	4	no	—
1358	C₂×D₅₃	—	2	2	no	—
1359	C₂×D₅₃	—	2	2	no	—
1360	C₂×D₅₃	—	2	1	no	—
1361	C₂×D₅₃	—	2	1	no	—
1362	C₂×D₅₃	—	2	1	no	—
1363	C₂×D₅₃	—	2	1	no	—
1364	C₂×D₅₃	—	4	4	no	—
1365	C₂×D₅₃	—	4	4	no	—
1366	C₂×D₅₃	—	4	4	no	—
1367	C₂×D₅₃	—	4	4	no	—
1368	C₂×D₅₃	—	4	4	no	—
1369	C₂×D₅₃	—	4	4	no	—
1370	C₂×D₅₃	—	8	4	no	—
1371	C₂×D₅₃	—	8	4	no	—
1372	C₂×D₅₃	—	8	4	no	—
1373	C₂×D₅₃	—	16	4	no	—
1374	C₂×D₅₃	#585	1	2	yes	—
1375	C₂×D₅₃	#585	1	2	yes	—
1376	C₄×C₅₃	—	2	2	no	—
1377	C₄×C₅₃	—	2	2	no	—
1378	C₄×C₅₃	—	2	1	no	—
1379	C₄×C₅₃	—	2	1	no	—
1380	C₄×C₅₃	—	2	4	no	—
1381	C₄×C₅₃	—	2	2	no	—
1382	C₄×C₅₃	—	2	2	no	—
1383	C₄×C₅₃	—	2	2	no	—
1384	C₄×C₅₃	—	2	4	no	—
1385	C₄×C₅₃	—	2	2	no	—
1386	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1387	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1388	Dic₅₃	—	2	4	no	—
1389	Dic₅₃	—	2	2	no	—
1390	Dic₅₃	—	2	2	no	—
1391	Dic₅₃	—	2	1	no	—
1392	Dic₅₃	—	2	1	no	—
1393	Dic₅₃	—	2	1	no	—
1394	Dic₅₃	—	2	1	no	—
1395	Dic₅₃	—	2	2	no	—
1396	Dic₅₃	—	2	2	no	—
1397	Dic₅₃	—	2	2	no	—
1398	Dic₅₃	—	2	2	no	—
1399	#3542	—	53	2	no	—
1400	#3542	—	53	2	no	—
1401	#3541	—	53	2	no	—
1402	#3541	—	53	2	no	—
1403	#3540	—	53	2	no	—
1404	#3540	—	53	2	no	—
1405	#3539	—	53	2	no	—
1406	#3539	—	53	2	no	—
1407	#3533	—	53	4	no	—
1408	#3532	—	53	4	no	—
1409	#3520	—	53	2	no	—
1410	#3520	—	53	2	no	—
1411	#3519	—	53	2	no	—
1412	#3519	—	53	2	no	—
1413	#3513	—	53	4	no	—
1414	#3513	—	53	4	no	—
1415	#3506	—	53	2	no	—
1416	#3506	—	53	2	no	—
1417	#3505	—	53	2	no	—
1418	#3505	—	53	2	no	—
1419	#3495	—	53	1	no	—
1420	#3495	—	53	1	no	—
1421	#3494	—	53	1	no	—
1422	#3494	—	53	1	no	—
1423	#3493	—	53	1	no	—
1424	#3493	D₅₃	1	1	yes	characteristic, complemented
1425	#3489	—	53	1	no	—
1426	#3489	—	53	1	no	—
1427	#3488	—	53	1	no	—
1428	#3488	—	53	1	no	—
1429	#3487	—	53	1	no	—
1430	#3485	—	53	1	no	—
1431	C₂×#525	—	53	1	no	—
1432	C₂×#525	—	53	1	no	—
1433	C₂×#525	—	53	1	no	—
1434	C₂×C₅₃	—	2	2	no	—
1435	C₂×C₅₃	—	4	1	no	—
1436	C₂×C₅₃	—	4	1	no	—
1437	C₂×C₅₃	—	4	2	no	—
1438	C₂×C₅₃	—	4	2	no	—
1439	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1440	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1441	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1442	D₅₃	—	2	2	no	—
1443	D₅₃	—	2	2	no	—
1444	D₅₃	—	4	1	no	—
1445	D₅₃	—	4	1	no	—
1446	D₅₃	—	4	2	no	—
1447	D₅₃	—	4	4	no	—
1448	D₅₃	—	4	2	no	—
1449	C₂×2₋¹⁺⁴	—	53	1	no	—
1450	C₂×H(5,𝔽₂)	—	53	1	no	—
1451	C₂²×#41	—	53	1	no	—
1452	C₂²×#41	—	53	1	no	—
1453	C₂²×#41	—	53	1	no	—
1454	C₂⁴×C₄	—	53	1	no	—
1455	#563	—	53	4	no	—
1456	#562	—	53	4	no	—
1457	#562	—	53	4	no	—
1458	H(3,𝔽₄)	—	53	4	no	—
1459	#560	—	53	4	no	—
1460	#560	—	53	4	no	—
1461	#560	—	53	4	no	—
1462	#560	—	53	4	no	—
1463	#559	—	53	4	no	—
1464	#559	—	53	4	no	—
1465	#559	—	53	4	no	—
1466	#556	—	53	2	no	—
1467	#556	—	53	2	no	—
1468	#556	—	53	2	no	—
1469	#556	—	53	2	no	—
1470	#556	C₂×D₅₃	1	2	yes	complemented
1471	#556	C₂×D₅₃	1	2	yes	complemented
1472	#555	—	53	2	no	—
1473	#555	—	53	2	no	—
1474	#555	—	53	2	no	—
1475	#555	—	53	2	no	—
1476	#555	C₂×D₅₃	1	2	yes	complemented
1477	#555	C₂×D₅₃	1	2	yes	complemented
1478	#554	—	53	2	no	—
1479	#554	—	53	4	no	—
1480	#554	—	53	4	no	—
1481	#554	—	53	2	no	—
1482	#553	—	53	4	no	—
1483	#553	—	53	4	no	—
1484	#553	—	53	4	no	—
1485	#553	—	53	2	no	—
1486	#553	—	53	2	no	—
1487	#553	—	53	4	no	—
1488	#553	—	53	4	no	—
1489	#553	—	53	4	no	—
1490	#553	—	53	2	no	—
1491	#553	—	53	2	no	—
1492	#553	—	53	2	no	—
1493	#553	—	53	4	no	—
1494	#553	—	53	4	no	—
1495	#553	—	53	2	no	—
1496	#553	C₂×D₅₃	1	2	yes	complemented
1497	#553	C₂×D₅₃	1	2	yes	complemented
1498	#552	—	53	2	no	—
1499	#552	—	53	2	no	—
1500	#552	—	53	4	no	—
1501	#552	—	53	4	no	—
1502	#552	—	53	2	no	—
1503	#552	—	53	2	no	—
1504	#552	—	53	2	no	—
1505	#552	—	53	2	no	—
1506	#552	C₂×D₅₃	1	2	yes	complemented
1507	#552	C₂×D₅₃	1	2	yes	complemented
1508	#551	—	53	4	no	—
1509	#551	—	53	4	no	—
1510	#551	—	53	4	no	—
1511	#551	—	53	4	no	—
1512	#551	—	53	4	no	—
1513	#551	—	53	4	no	—
1514	#551	—	53	4	no	—
1515	#551	—	53	4	no	—
1516	#551	—	53	4	no	—
1517	#551	—	53	4	no	—
1518	#550	—	53	2	no	—
1519	#550	—	53	2	no	—
1520	#550	—	53	2	no	—
1521	#550	—	53	2	no	—
1522	#550	—	53	2	no	—
1523	#550	—	53	2	no	—
1524	D₄×Q₈	—	53	2	no	—
1525	D₄×Q₈	—	53	2	no	—
1526	#548	—	53	2	no	—
1527	#548	—	53	2	no	—
1528	#548	—	53	2	no	—
1529	#548	—	53	2	no	—
1530	#548	—	53	2	no	—
1531	#548	—	53	2	no	—
1532	#548	—	53	2	no	—
1533	#548	—	53	2	no	—
1534	#547	—	53	2	no	—
1535	#547	—	53	2	no	—
1536	#547	—	53	2	no	—
1537	#547	—	53	2	no	—
1538	#547	—	53	4	no	—
1539	#547	—	53	4	no	—
1540	#547	—	53	2	no	—
1541	#547	—	53	2	no	—
1542	#547	—	53	2	no	—
1543	#547	—	53	2	no	—
1544	#546	—	53	4	no	—
1545	#546	—	53	4	no	—
1546	#546	—	53	4	no	—
1547	#546	—	53	4	no	—
1548	#546	—	53	2	no	—
1549	#546	—	53	2	no	—
1550	#546	—	53	2	no	—
1551	#546	—	53	4	no	—
1552	#546	—	53	4	no	—
1553	#546	—	53	2	no	—
1554	#546	—	53	4	no	—
1555	#546	—	53	4	no	—
1556	#546	—	53	2	no	—
1557	#546	—	53	2	no	—
1558	#546	—	53	4	no	—
1559	#546	—	53	2	no	—
1560	#546	—	53	2	no	—
1561	#546	—	53	4	no	—
1562	D₄²	—	53	4	no	—
1563	D₄²	—	53	4	no	—
1564	D₄²	—	53	2	no	—
1565	D₄²	—	53	4	no	—
1566	D₄²	—	53	2	no	—
1567	#544	—	53	1	no	—
1568	#544	C₂×D₅₃	1	1	yes	characteristic, complemented
1569	#542	—	53	2	no	—
1570	#542	—	53	2	no	—
1571	#542	—	53	4	no	—
1572	#542	—	53	4	no	—
1573	#542	—	53	2	no	—
1574	#542	—	53	4	no	—
1575	#542	—	53	2	no	—
1576	#542	—	53	4	no	—
1577	#541	—	53	2	no	—
1578	#541	—	53	2	no	—
1579	#540	—	53	2	no	—
1580	#540	—	53	4	no	—
1581	#540	—	53	4	no	—
1582	#540	—	53	2	no	—
1583	#540	—	53	4	no	—
1584	#540	—	53	4	no	—
1585	#539	—	53	4	no	—
1586	#539	—	53	4	no	—
1587	#539	—	53	4	no	—
1588	#539	—	53	4	no	—
1589	#539	—	53	4	no	—
1590	#539	—	53	4	no	—
1591	#538	—	53	4	no	—
1592	#538	—	53	4	no	—
1593	#538	—	53	4	no	—
1594	#538	—	53	4	no	—
1595	#538	—	53	4	no	—
1596	#538	—	53	4	no	—
1597	#538	—	53	4	no	—
1598	#538	—	53	4	no	—
1599	#538	—	53	4	no	—
1600	#538	—	53	4	no	—
1601	#538	—	53	4	no	—
1602	#538	C₂×D₅₃	1	4	yes	complemented
1603	#537	—	53	2	no	—
1604	#537	—	53	2	no	—
1605	#537	—	53	1	no	—
1606	#537	—	53	2	no	—
1607	#537	—	53	2	no	—
1608	#537	C₂×D₅₃	1	1	yes	characteristic, complemented
1609	#536	—	53	1	no	—
1610	#536	—	53	2	no	—
1611	#536	—	53	1	no	—
1612	#536	—	53	2	no	—
1613	#535	—	53	1	no	—
1614	#535	—	53	4	no	—
1615	#535	—	53	4	no	—
1616	#535	—	53	2	no	—
1617	#535	—	53	4	no	—
1618	#535	—	53	1	no	—
1619	#535	—	53	2	no	—
1620	#534	—	53	4	no	—
1621	#534	—	53	4	no	—
1622	#534	—	53	4	no	—
1623	#533	—	53	2	no	—
1624	#533	—	53	2	no	—
1625	#532	—	53	2	no	—
1626	#532	—	53	2	no	—
1627	#529	—	53	2	no	—
1628	#529	—	53	2	no	—
1629	#529	—	53	2	no	—
1630	#529	—	53	2	no	—
1631	#529	—	53	4	no	—
1632	#529	C₂×D₅₃	1	4	yes	complemented
1633	#525	—	53	1	no	—
1634	#525	—	53	1	no	—
1635	#525	—	53	1	no	—
1636	#525	—	53	1	no	—
1637	#525	—	53	2	no	—
1638	#525	—	53	2	no	—
1639	#525	—	53	4	no	—
1640	#525	—	53	1	no	—
1641	#525	—	53	1	no	—
1642	#525	—	53	1	no	—
1643	#525	—	53	1	no	—
1644	#525	—	53	2	no	—
1645	#525	—	53	1	no	—
1646	#525	—	53	1	no	—
1647	#525	—	53	1	no	—
1648	#525	—	53	1	no	—
1649	#525	—	53	2	no	—
1650	#525	—	53	2	no	—
1651	#525	—	53	2	no	—
1652	#525	—	53	2	no	—
1653	#525	—	53	2	no	—
1654	#525	—	53	2	no	—
1655	#525	—	53	2	no	—
1656	#525	—	53	1	no	—
1657	#525	—	53	1	no	—
1658	#525	—	53	2	no	—
1659	#525	—	53	2	no	—
1660	#525	—	53	2	no	—
1661	#525	—	53	2	no	—
1662	#525	—	53	2	no	—
1663	#525	—	53	2	no	—
1664	#525	—	53	2	no	—
1665	#525	—	53	2	no	—
1666	#525	—	53	2	no	—
1667	#525	—	53	2	no	—
1668	#525	C₂×D₅₃	1	1	yes	characteristic, complemented
1669	#525	C₂×D₅₃	1	1	yes	characteristic, complemented
1670	C₂×#123	—	53	2	no	—
1671	C₂×#123	—	53	2	no	—
1672	C₂×#123	—	53	4	no	—
1673	C₂×#123	—	53	2	no	—
1674	C₂×C₂²⋊Q₈	—	53	1	no	—
1675	C₂×C₂²⋊Q₈	—	53	1	no	—
1676	C₂×C₂²⋊Q₈	—	53	1	no	—
1677	C₂×C₂²⋊Q₈	—	53	1	no	—
1678	C₂×C₂²⋊Q₈	—	53	2	no	—
1679	C₂×C₂²⋊Q₈	—	53	1	no	—
1680	C₂×C₂²⋊Q₈	—	53	1	no	—
1681	C₂×C₂²⋊Q₈	—	53	2	no	—
1682	C₂×#121	—	53	1	no	—
1683	C₂×#121	—	53	1	no	—
1684	C₂×#121	—	53	1	no	—
1685	C₂×#121	—	53	1	no	—
1686	C₂×#121	—	53	2	no	—
1687	C₂×#121	—	53	1	no	—
1688	C₂×#121	—	53	1	no	—
1689	C₂×#121	—	53	2	no	—
1690	C₂×#120	—	53	2	no	—
1691	C₂×#120	—	53	2	no	—
1692	C₂×#120	—	53	2	no	—
1693	#520	—	53	4	no	—
1694	#520	—	53	4	no	—
1695	#520	—	53	1	no	—
1696	#520	—	53	1	no	—
1697	#520	C₂×D₅₃	1	1	yes	characteristic, complemented
1698	#520	C₂×D₅₃	1	1	yes	characteristic, complemented
1699	#519	—	53	1	no	—
1700	#518	—	53	4	no	—
1701	#518	—	53	1	no	—
1702	#518	—	53	4	no	—
1703	C₂×C₄×D₄	—	53	2	no	—
1704	C₂×C₄×D₄	—	53	2	no	—
1705	C₂×C₄×D₄	—	53	2	no	—
1706	C₂×C₄×D₄	—	53	2	no	—
1707	C₂×C₄×D₄	—	53	2	no	—
1708	C₂×C₄×D₄	—	53	2	no	—
1709	C₂×#117	—	53	1	no	—
1710	C₂×#117	—	53	1	no	—
1711	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1712	C₅₃	#62821	1	1	yes	characteristic, complemented, Sylow
1713	C₂⁵	—	53	1	no	—
1714	2₋¹⁺⁴	—	212	4	no	—
1715	H(5,𝔽₂)	—	212	4	no	—
1716	C₂×#41	—	53	4	no	—
1717	C₂×#41	—	53	1	no	—
1718	C₂×#41	—	53	1	no	—
1719	C₂×#41	—	53	2	no	—
1720	C₂×#41	—	53	2	no	—
1721	C₂×#41	—	53	2	no	—
1722	C₂×#41	—	53	1	no	—
1723	C₂×#41	—	53	1	no	—
1724	C₂×#41	—	53	4	no	—
1725	C₂×#41	—	53	2	no	—
1726	C₂×#41	—	53	1	no	—
1727	C₂×#41	—	53	1	no	—
1728	C₂×#41	—	53	4	no	—
1729	C₂×#41	—	53	2	no	—
1730	C₂×#41	—	53	2	no	—
1731	C₂×#41	—	53	2	no	—
1732	C₂×#41	—	53	2	no	—
1733	C₂×#41	—	53	2	no	—
1734	C₂×#41	—	53	2	no	—
1735	C₂×#41	—	53	2	no	—
1736	C₂×#41	—	53	2	no	—
1737	C₂×#41	—	212	4	no	—
1738	C₂×#41	—	212	4	no	—
1739	C₂×#41	—	212	4	no	—
1740	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1741	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1742	C₂²×Q₈	—	53	1	no	—
1743	C₂²×Q₈	—	53	1	no	—
1744	C₂²×Q₈	—	53	2	no	—
1745	C₂²×Q₈	—	53	1	no	—
1746	C₂²×Q₈	—	53	2	no	—
1747	C₂²×D₄	—	53	2	no	—
1748	C₂²×D₄	—	53	2	no	—
1749	C₂²×D₄	—	53	2	no	—
1750	C₂²×D₄	—	53	2	no	—
1751	C₂²×D₄	—	53	2	no	—
1752	C₂²×D₄	—	53	4	no	—
1753	C₂²×D₄	—	53	2	no	—
1754	C₂²×D₄	—	53	2	no	—
1755	C₂²×D₄	—	53	1	no	—
1756	C₂²×D₄	—	53	1	no	—
1757	C₂²×D₄	—	53	2	no	—
1758	C₂²×D₄	—	53	4	no	—
1759	C₂²×D₄	—	53	1	no	—
1760	C₂²×D₄	—	53	2	no	—
1761	C₂²×D₄	—	53	2	no	—
1762	C₂²×D₄	—	53	4	no	—
1763	C₂²×D₄	—	53	2	no	—
1764	C₂³×C₄	—	53	1	no	—
1765	C₂³×C₄	—	53	1	no	—
1766	C₂³×C₄	—	53	1	no	—
1767	C₂³×C₄	—	53	1	no	—
1768	C₂³×C₄	—	53	1	no	—
1769	C₂³×C₄	—	53	2	no	—
1770	C₂³×C₄	—	53	2	no	—
1771	C₂³×C₄	—	53	1	no	—
1772	C₂³×C₄	—	53	1	no	—
1773	C₂³×C₄	—	53	2	no	—
1774	C₂³×C₄	—	53	1	no	—
1775	C₂³×C₄	—	53	1	no	—
1776	C₂³×C₄	—	53	1	no	—
1777	C₂³×C₄	—	53	1	no	—
1778	C₂³×C₄	—	53	1	no	—
1779	C₂³×C₄	—	53	1	no	—
1780	C₂³×C₄	—	212	4	no	—
1781	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1782	C₄⋊Q₈	—	53	2	no	—
1783	C₄⋊Q₈	—	53	2	no	—
1784	C₄⋊Q₈	—	53	2	no	—
1785	C₄⋊Q₈	—	53	4	no	—
1786	C₄⋊Q₈	—	53	2	no	—
1787	C₄⋊Q₈	—	53	4	no	—
1788	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1789	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1790	#127	—	53	2	no	—
1791	#127	—	53	4	no	—
1792	#127	—	53	4	no	—
1793	#127	—	53	4	no	—
1794	#127	—	53	2	no	—
1795	#127	—	53	4	no	—
1796	#126	—	53	4	no	—
1797	#126	—	53	4	no	—
1798	#126	—	53	4	no	—
1799	#126	—	53	4	no	—
1800	#126	—	53	4	no	—
1801	#126	—	53	4	no	—
1802	#126	—	53	4	no	—
1803	#126	—	53	4	no	—
1804	#126	—	53	4	no	—
1805	#126	—	53	4	no	—
1806	#126	—	53	4	no	—
1807	#126	—	53	4	no	—
1808	#126	—	53	4	no	—
1809	#126	—	53	4	no	—
1810	#126	—	53	4	no	—
1811	#126	—	53	4	no	—
1812	#126	C₂²×D₅₃	1	4	yes	—
1813	#126	C₂²×D₅₃	1	4	yes	—
1814	#126	C₂²×D₅₃	1	4	yes	complemented
1815	#126	C₂²×D₅₃	1	4	yes	complemented
1816	#125	—	53	2	no	—
1817	#125	—	53	2	no	—
1818	#125	—	53	4	no	—
1819	#125	—	53	4	no	—
1820	#125	—	53	4	no	—
1821	#125	—	53	4	no	—
1822	#125	—	53	4	no	—
1823	#125	—	53	4	no	—
1824	#125	—	53	4	no	—
1825	#125	C₂²×D₅₃	1	2	yes	complemented
1826	#125	C₂²×D₅₃	1	2	yes	complemented
1827	#125	C₂²×D₅₃	1	4	yes	complemented
1828	#124	—	53	2	no	—
1829	#124	—	53	4	no	—
1830	#124	—	53	4	no	—
1831	#124	—	53	4	no	—
1832	#124	—	53	2	no	—
1833	#124	—	53	4	no	—
1834	#124	—	53	4	no	—
1835	#124	—	53	4	no	—
1836	#124	—	53	4	no	—
1837	#124	—	53	4	no	—
1838	#124	—	53	4	no	—
1839	#124	—	53	4	no	—
1840	#124	—	53	4	no	—
1841	#124	—	53	2	no	—
1842	#124	—	53	2	no	—
1843	#124	—	53	4	no	—
1844	#124	—	53	4	no	—
1845	#124	—	53	4	no	—
1846	#124	—	53	4	no	—
1847	#124	C₂²×D₅₃	1	4	yes	—
1848	#124	C₂²×D₅₃	1	4	yes	—
1849	#124	C₂²×D₅₃	1	4	yes	complemented
1850	#123	—	53	2	no	—
1851	#123	—	53	2	no	—
1852	#123	—	53	4	no	—
1853	#123	—	53	2	no	—
1854	#123	—	53	2	no	—
1855	#123	—	53	4	no	—
1856	#123	—	53	4	no	—
1857	#123	—	53	2	no	—
1858	#123	—	53	2	no	—
1859	#123	—	53	2	no	—
1860	#123	—	53	2	no	—
1861	#123	—	53	4	no	—
1862	#123	—	53	4	no	—
1863	#123	—	53	4	no	—
1864	#123	—	53	4	no	—
1865	#123	—	53	4	no	—
1866	#123	—	53	4	no	—
1867	#123	—	53	4	no	—
1868	#123	—	53	4	no	—
1869	#123	—	53	4	no	—
1870	#123	—	53	4	no	—
1871	#123	—	53	4	no	—
1872	#123	—	53	4	no	—
1873	#123	—	53	2	no	—
1874	#123	—	53	4	no	—
1875	#123	—	53	4	no	—
1876	#123	—	53	2	no	—
1877	#123	—	53	2	no	—
1878	#123	—	53	2	no	—
1879	#123	—	53	2	no	—
1880	#123	—	53	4	no	—
1881	#123	—	53	2	no	—
1882	#123	—	53	4	no	—
1883	#123	—	53	4	no	—
1884	#123	—	53	4	no	—
1885	#123	—	53	4	no	—
1886	#123	—	53	4	no	—
1887	#123	—	53	4	no	—
1888	#123	—	53	4	no	—
1889	#123	—	53	4	no	—
1890	#123	—	53	4	no	—
1891	#123	—	53	4	no	—
1892	#123	—	53	4	no	—
1893	#123	—	53	4	no	—
1894	#123	—	53	4	no	—
1895	#123	—	53	4	no	—
1896	#123	—	53	4	no	—
1897	#123	—	53	4	no	—
1898	#123	C₂²×D₅₃	1	2	yes	—
1899	#123	C₂²×D₅₃	1	2	yes	—
1900	#123	C₂²×D₅₃	1	4	yes	—
1901	#123	C₂²×D₅₃	1	4	yes	—
1902	C₂²⋊Q₈	—	53	1	no	—
1903	C₂²⋊Q₈	—	53	1	no	—
1904	C₂²⋊Q₈	—	53	1	no	—
1905	C₂²⋊Q₈	—	53	1	no	—
1906	C₂²⋊Q₈	—	53	4	no	—
1907	C₂²⋊Q₈	—	53	4	no	—
1908	C₂²⋊Q₈	—	53	4	no	—
1909	C₂²⋊Q₈	—	53	1	no	—
1910	C₂²⋊Q₈	—	53	1	no	—
1911	C₂²⋊Q₈	—	53	1	no	—
1912	C₂²⋊Q₈	—	53	1	no	—
1913	C₂²⋊Q₈	—	53	2	no	—
1914	C₂²⋊Q₈	—	53	2	no	—
1915	C₂²⋊Q₈	—	53	4	no	—
1916	C₂²⋊Q₈	—	53	4	no	—
1917	C₂²⋊Q₈	—	53	1	no	—
1918	C₂²⋊Q₈	—	53	2	no	—
1919	C₂²⋊Q₈	—	53	2	no	—
1920	C₂²⋊Q₈	—	53	1	no	—
1921	C₂²⋊Q₈	—	53	1	no	—
1922	C₂²⋊Q₈	—	53	2	no	—
1923	C₂²⋊Q₈	—	53	2	no	—
1924	C₂²⋊Q₈	—	53	1	no	—
1925	C₂²⋊Q₈	—	53	2	no	—
1926	C₂²⋊Q₈	—	53	2	no	—
1927	C₂²⋊Q₈	—	53	2	no	—
1928	C₂²⋊Q₈	—	53	2	no	—
1929	C₂²⋊Q₈	—	53	2	no	—
1930	C₂²⋊Q₈	—	53	2	no	—
1931	C₂²⋊Q₈	—	53	2	no	—
1932	C₂²⋊Q₈	—	53	2	no	—
1933	C₂²⋊Q₈	—	53	2	no	—
1934	C₂²⋊Q₈	—	53	2	no	—
1935	C₂²⋊Q₈	—	53	4	no	—
1936	C₂²⋊Q₈	—	53	4	no	—
1937	C₂²⋊Q₈	—	53	4	no	—
1938	C₂²⋊Q₈	—	53	2	no	—
1939	C₂²⋊Q₈	—	53	2	no	—
1940	C₂²⋊Q₈	—	53	4	no	—
1941	C₂²⋊Q₈	—	53	4	no	—
1942	C₂²⋊Q₈	—	53	4	no	—
1943	C₂²⋊Q₈	—	53	4	no	—
1944	C₂²⋊Q₈	—	53	4	no	—
1945	C₂²⋊Q₈	—	53	4	no	—
1946	C₂²⋊Q₈	—	53	4	no	—
1947	C₂²⋊Q₈	—	53	2	no	—
1948	C₂²⋊Q₈	—	53	2	no	—
1949	C₂²⋊Q₈	—	53	2	no	—
1950	C₂²⋊Q₈	—	53	2	no	—
1951	C₂²⋊Q₈	—	53	4	no	—
1952	C₂²⋊Q₈	—	53	4	no	—
1953	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1954	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1955	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1956	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1957	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
1958	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1959	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1960	#121	—	53	1	no	—
1961	#121	—	53	1	no	—
1962	#121	—	53	1	no	—
1963	#121	—	53	1	no	—
1964	#121	—	53	2	no	—
1965	#121	—	53	2	no	—
1966	#121	—	53	2	no	—
1967	#121	—	53	2	no	—
1968	#121	—	53	4	no	—
1969	#121	—	53	4	no	—
1970	#121	—	53	4	no	—
1971	#121	—	53	4	no	—
1972	#121	—	53	4	no	—
1973	#121	—	53	4	no	—
1974	#121	—	53	4	no	—
1975	#121	—	53	1	no	—
1976	#121	—	53	1	no	—
1977	#121	—	53	1	no	—
1978	#121	—	53	1	no	—
1979	#121	—	53	2	no	—
1980	#121	—	53	2	no	—
1981	#121	—	53	4	no	—
1982	#121	—	53	4	no	—
1983	#121	—	53	4	no	—
1984	#121	—	53	4	no	—
1985	#121	—	53	4	no	—
1986	#121	—	53	4	no	—
1987	#121	—	53	1	no	—
1988	#121	—	53	2	no	—
1989	#121	—	53	2	no	—
1990	#121	—	53	1	no	—
1991	#121	—	53	1	no	—
1992	#121	—	53	2	no	—
1993	#121	—	53	2	no	—
1994	#121	—	53	1	no	—
1995	#121	—	53	2	no	—
1996	#121	—	53	2	no	—
1997	#121	—	53	2	no	—
1998	#121	—	53	2	no	—
1999	#121	—	53	2	no	—
2000	#121	—	53	2	no	—
2001	#121	—	53	4	no	—
2002	#121	—	53	4	no	—
2003	#121	—	53	2	no	—
2004	#121	—	53	2	no	—
2005	#121	—	53	4	no	—
2006	#121	—	53	4	no	—
2007	#121	—	53	4	no	—
2008	#121	—	53	4	no	—
2009	#121	—	53	4	no	—
2010	#121	—	53	4	no	—
2011	#121	—	53	2	no	—
2012	#121	—	53	2	no	—
2013	#121	—	53	2	no	—
2014	#121	—	53	2	no	—
2015	#121	—	53	4	no	—
2016	#121	—	53	4	no	—
2017	#121	—	53	4	no	—
2018	#121	—	53	4	no	—
2019	#121	—	53	4	no	—
2020	#121	—	53	4	no	—
2021	#121	—	53	4	no	—
2022	#121	—	53	4	no	—
2023	#121	—	53	4	no	—
2024	#121	—	53	4	no	—
2025	#121	—	53	4	no	—
2026	#121	—	53	4	no	—
2027	#121	—	53	4	no	—
2028	#121	—	53	4	no	—
2029	#121	C₂²×D₅₃	1	1	yes	characteristic
2030	#121	C₂²×D₅₃	1	1	yes	characteristic
2031	#121	C₂²×D₅₃	1	1	yes	characteristic
2032	#121	C₂²×D₅₃	1	1	yes	characteristic
2033	#121	C₂²×D₅₃	1	4	yes	—
2034	#121	C₂²×D₅₃	1	4	yes	—
2035	#121	C₂²×D₅₃	1	4	yes	—
2036	#121	C₂²×D₅₃	1	2	yes	complemented
2037	#121	C₂²×D₅₃	1	2	yes	complemented
2038	#120	—	53	2	no	—
2039	#120	—	53	2	no	—
2040	#120	—	53	2	no	—
2041	#120	—	53	2	no	—
2042	#120	—	53	2	no	—
2043	#120	—	53	2	no	—
2044	#120	—	53	2	no	—
2045	#120	—	53	2	no	—
2046	#120	—	53	4	no	—
2047	#120	—	53	4	no	—
2048	#120	—	53	4	no	—
2049	#120	—	53	4	no	—
2050	#120	—	53	4	no	—
2051	#120	—	53	2	no	—
2052	#120	—	53	4	no	—
2053	#120	—	53	4	no	—
2054	#120	—	53	2	no	—
2055	#120	—	53	2	no	—
2056	#120	—	53	4	no	—
2057	#120	—	53	2	no	—
2058	#120	—	53	2	no	—
2059	#120	—	53	4	no	—
2060	#120	—	53	2	no	—
2061	#120	—	53	4	no	—
2062	#120	—	53	4	no	—
2063	#120	—	53	4	no	—
2064	#120	—	53	4	no	—
2065	#120	—	53	4	no	—
2066	#120	—	53	4	no	—
2067	#120	—	53	4	no	—
2068	#120	C₂²×D₅₃	1	2	yes	—
2069	#120	C₂²×D₅₃	1	2	yes	—
2070	C₄×Q₈	—	53	4	no	—
2071	C₄×Q₈	—	53	2	no	—
2072	C₄×Q₈	—	53	2	no	—
2073	C₄×Q₈	—	53	2	no	—
2074	C₄×Q₈	—	53	2	no	—
2075	C₄×Q₈	—	53	2	no	—
2076	C₄×Q₈	—	53	2	no	—
2077	C₄×Q₈	—	53	4	no	—
2078	C₄×Q₈	—	53	4	no	—
2079	C₄×Q₈	C₂²×D₅₃	1	4	yes	complemented
2080	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
2081	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
2082	C₄×D₄	—	53	2	no	—
2083	C₄×D₄	—	53	2	no	—
2084	C₄×D₄	—	53	2	no	—
2085	C₄×D₄	—	53	2	no	—
2086	C₄×D₄	—	53	4	no	—
2087	C₄×D₄	—	53	2	no	—
2088	C₄×D₄	—	53	2	no	—
2089	C₄×D₄	—	53	2	no	—
2090	C₄×D₄	—	53	2	no	—
2091	C₄×D₄	—	53	2	no	—
2092	C₄×D₄	—	53	2	no	—
2093	C₄×D₄	—	53	2	no	—
2094	C₄×D₄	—	53	2	no	—
2095	C₄×D₄	—	53	4	no	—
2096	C₄×D₄	—	53	4	no	—
2097	C₄×D₄	—	53	4	no	—
2098	C₄×D₄	—	53	4	no	—
2099	C₄×D₄	—	53	2	no	—
2100	C₄×D₄	—	53	2	no	—
2101	C₄×D₄	—	53	2	no	—
2102	C₄×D₄	—	53	2	no	—
2103	C₄×D₄	—	53	4	no	—
2104	C₄×D₄	—	53	4	no	—
2105	C₄×D₄	—	53	4	no	—
2106	C₄×D₄	—	53	2	no	—
2107	C₄×D₄	—	53	4	no	—
2108	C₄×D₄	—	53	2	no	—
2109	C₄×D₄	—	53	4	no	—
2110	C₄×D₄	—	53	4	no	—
2111	C₄×D₄	—	53	2	no	—
2112	C₄×D₄	—	53	2	no	—
2113	C₄×D₄	—	53	2	no	—
2114	C₄×D₄	—	53	2	no	—
2115	C₄×D₄	—	53	2	no	—
2116	C₄×D₄	—	53	2	no	—
2117	C₄×D₄	—	53	2	no	—
2118	C₄×D₄	—	53	2	no	—
2119	C₄×D₄	—	53	2	no	—
2120	C₄×D₄	—	53	2	no	—
2121	C₄×D₄	—	53	4	no	—
2122	C₄×D₄	—	53	4	no	—
2123	C₄×D₄	—	53	4	no	—
2124	C₄×D₄	—	53	4	no	—
2125	C₄×D₄	—	53	4	no	—
2126	C₄×D₄	—	53	4	no	—
2127	C₄×D₄	—	53	4	no	—
2128	C₄×D₄	—	53	4	no	—
2129	C₄×D₄	—	53	2	no	—
2130	C₄×D₄	—	53	2	no	—
2131	C₄×D₄	—	53	2	no	—
2132	C₄×D₄	—	53	4	no	—
2133	C₄×D₄	—	53	4	no	—
2134	C₄×D₄	—	53	2	no	—
2135	C₄×D₄	—	53	4	no	—
2136	C₄×D₄	—	53	4	no	—
2137	C₄×D₄	—	53	4	no	—
2138	C₄×D₄	—	53	4	no	—
2139	C₄×D₄	—	53	2	no	—
2140	C₄×D₄	—	53	4	no	—
2141	C₄×D₄	—	53	2	no	—
2142	C₄×D₄	—	53	4	no	—
2143	C₄×D₄	—	53	4	no	—
2144	C₄×D₄	—	53	4	no	—
2145	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2146	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2147	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2148	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2149	C₄×D₄	C₂²×D₅₃	1	4	yes	—
2150	C₄×D₄	C₂²×D₅₃	1	4	yes	—
2151	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2152	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2153	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2154	#117	—	53	1	no	—
2155	#117	—	53	1	no	—
2156	#117	—	53	4	no	—
2157	#117	—	53	1	no	—
2158	#117	—	53	1	no	—
2159	#117	—	53	1	no	—
2160	#117	—	53	1	no	—
2161	#117	—	53	4	no	—
2162	#117	—	53	2	no	—
2163	#117	—	53	2	no	—
2164	#117	—	53	4	no	—
2165	#117	—	53	4	no	—
2166	#117	—	53	2	no	—
2167	#117	—	53	2	no	—
2168	#117	—	53	4	no	—
2169	#117	—	53	2	no	—
2170	#117	—	53	2	no	—
2171	#117	—	53	4	no	—
2172	#117	—	53	4	no	—
2173	#117	—	53	4	no	—
2174	#117	—	53	4	no	—
2175	#117	C₂²×D₅₃	1	1	yes	characteristic
2176	#117	C₂²×D₅₃	1	1	yes	characteristic
2177	#117	C₂²×D₅₃	1	2	yes	—
2178	#117	C₂²×D₅₃	1	2	yes	—
2179	#117	C₂²×D₅₃	1	2	yes	—
2180	#117	C₂²×D₅₃	1	2	yes	—
2181	#117	C₂²×D₅₃	1	4	yes	complemented
2182	#117	C₂²×D₅₃	1	4	yes	complemented
2183	#117	C₂²×D₅₃	1	2	yes	complemented
2184	#117	C₂²×D₅₃	1	2	yes	complemented
2185	C₂×C₄⋊C₄	—	53	2	no	—
2186	C₂×C₄⋊C₄	—	53	2	no	—
2187	C₂×C₄⋊C₄	—	53	4	no	—
2188	C₂×C₄⋊C₄	—	53	1	no	—
2189	C₂×C₄⋊C₄	—	53	1	no	—
2190	C₂×C₄⋊C₄	—	53	1	no	—
2191	C₂×C₄⋊C₄	—	53	1	no	—
2192	C₂×C₄⋊C₄	—	53	2	no	—
2193	C₂×C₄⋊C₄	—	53	2	no	—
2194	C₂×C₄⋊C₄	—	53	2	no	—
2195	C₂×C₄⋊C₄	—	53	2	no	—
2196	C₂×C₄⋊C₄	—	53	2	no	—
2197	C₂×C₄⋊C₄	—	53	2	no	—
2198	C₂×C₄⋊C₄	—	53	4	no	—
2199	C₂×C₄⋊C₄	—	53	4	no	—
2200	C₂×C₄⋊C₄	—	53	4	no	—
2201	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2202	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2203	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2204	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2205	C₂×C₂²⋊C₄	—	53	2	no	—
2206	C₂×C₂²⋊C₄	—	53	2	no	—
2207	C₂×C₂²⋊C₄	—	53	2	no	—
2208	C₂×C₂²⋊C₄	—	53	2	no	—
2209	C₂×C₂²⋊C₄	—	53	4	no	—
2210	C₂×C₂²⋊C₄	—	53	4	no	—
2211	C₂×C₂²⋊C₄	—	53	2	no	—
2212	C₂×C₂²⋊C₄	—	53	2	no	—
2213	C₂×C₂²⋊C₄	—	53	2	no	—
2214	C₂×C₂²⋊C₄	—	53	2	no	—
2215	C₂×C₂²⋊C₄	—	53	2	no	—
2216	C₂×C₂²⋊C₄	—	53	2	no	—
2217	C₂×C₂²⋊C₄	—	53	2	no	—
2218	C₂×C₂²⋊C₄	—	53	2	no	—
2219	C₂×C₂²⋊C₄	—	53	2	no	—
2220	C₂×C₂²⋊C₄	—	53	2	no	—
2221	C₂×C₂²⋊C₄	—	53	4	no	—
2222	C₂×C₂²⋊C₄	—	53	4	no	—
2223	C₂×C₂²⋊C₄	—	53	4	no	—
2224	C₂×C₂²⋊C₄	—	53	4	no	—
2225	C₂×C₂²⋊C₄	—	53	4	no	—
2226	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2227	C₂×C₄²	—	53	2	no	—
2228	C₂×C₄²	—	53	2	no	—
2229	C₂×C₄²	C₂²×D₅₃	1	2	yes	—
2230	C₂⁴	—	53	1	no	—
2231	C₂⁴	—	53	1	no	—
2232	C₂⁴	—	53	1	no	—
2233	C₂⁴	—	53	2	no	—
2234	C₂⁴	—	53	2	no	—
2235	C₂⁴	—	53	2	no	—
2236	C₂⁴	—	53	1	no	—
2237	C₂⁴	—	53	1	no	—
2238	C₂⁴	—	53	4	no	—
2239	C₂⁴	—	53	1	no	—
2240	C₂⁴	—	212	2	no	—
2241	C₂⁴	—	212	2	no	—
2242	C₂⁴	—	212	2	no	—
2243	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2244	#41	—	2	4	no	—
2245	#41	—	2	4	no	—
2246	#41	—	106	4	no	—
2247	#41	—	106	4	no	—
2248	#41	—	212	4	no	—
2249	#41	—	212	4	no	—
2250	#41	—	212	4	no	—
2251	#41	—	212	4	no	—
2252	#41	—	212	4	no	—
2253	#41	—	212	4	no	—
2254	#41	—	212	4	no	—
2255	#41	—	212	4	no	—
2256	#41	—	212	8	no	—
2257	#41	—	212	4	no	—
2258	#41	—	212	4	no	—
2259	#41	—	212	8	no	—
2260	#41	—	212	2	no	—
2261	#41	—	212	2	no	—
2262	#41	—	212	4	no	—
2263	#41	—	212	8	no	—
2264	#41	—	212	2	no	—
2265	#41	—	212	2	no	—
2266	#41	—	212	4	no	—
2267	C₂×Q₈	—	53	1	no	—
2268	C₂×Q₈	—	53	2	no	—
2269	C₂×Q₈	—	53	2	no	—
2270	C₂×Q₈	—	53	1	no	—
2271	C₂×Q₈	—	53	4	no	—
2272	C₂×Q₈	—	53	2	no	—
2273	C₂×Q₈	—	53	2	no	—
2274	C₂×Q₈	—	53	4	no	—
2275	C₂×Q₈	—	106	4	no	—
2276	C₂×Q₈	—	212	4	no	—
2277	C₂×Q₈	—	212	2	no	—
2278	C₂×Q₈	—	212	2	no	—
2279	C₂×Q₈	—	212	4	no	—
2280	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2281	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2282	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
2283	C₂×D₄	—	53	2	no	—
2284	C₂×D₄	—	53	2	no	—
2285	C₂×D₄	—	53	2	no	—
2286	C₂×D₄	—	53	2	no	—
2287	C₂×D₄	—	53	2	no	—
2288	C₂×D₄	—	53	2	no	—
2289	C₂×D₄	—	53	2	no	—
2290	C₂×D₄	—	53	4	no	—
2291	C₂×D₄	—	53	2	no	—
2292	C₂×D₄	—	53	2	no	—
2293	C₂×D₄	—	53	2	no	—
2294	C₂×D₄	—	53	4	no	—
2295	C₂×D₄	—	53	2	no	—
2296	C₂×D₄	—	53	4	no	—
2297	C₂×D₄	—	53	4	no	—
2298	C₂×D₄	—	53	2	no	—
2299	C₂×D₄	—	53	2	no	—
2300	C₂×D₄	—	53	4	no	—
2301	C₂×D₄	—	53	2	no	—
2302	C₂×D₄	—	53	4	no	—
2303	C₂×D₄	—	53	2	no	—
2304	C₂×D₄	—	53	4	no	—
2305	C₂×D₄	—	53	4	no	—
2306	C₂×D₄	—	53	2	no	—
2307	C₂×D₄	—	53	1	no	—
2308	C₂×D₄	—	53	2	no	—
2309	C₂×D₄	—	53	2	no	—
2310	C₂×D₄	—	53	1	no	—
2311	C₂×D₄	—	53	2	no	—
2312	C₂×D₄	—	53	4	no	—
2313	C₂×D₄	—	53	4	no	—
2314	C₂×D₄	—	53	4	no	—
2315	C₂×D₄	—	53	2	no	—
2316	C₂×D₄	—	53	4	no	—
2317	C₂×D₄	—	53	4	no	—
2318	C₂×D₄	—	53	2	no	—
2319	C₂×D₄	—	53	2	no	—
2320	C₂×D₄	—	53	4	no	—
2321	C₂×D₄	—	106	4	no	—
2322	C₂×D₄	—	212	4	no	—
2323	C₂×D₄	—	212	8	no	—
2324	C₂×D₄	—	212	4	no	—
2325	C₂×D₄	—	212	4	no	—
2326	C₂×D₄	—	212	2	no	—
2327	C₂×D₄	—	212	2	no	—
2328	C₂×D₄	—	212	4	no	—
2329	C₂×D₄	—	212	4	no	—
2330	C₂×D₄	—	212	4	no	—
2331	C₂×D₄	—	212	4	no	—
2332	C₂×D₄	—	212	4	no	—
2333	C₂×D₄	—	212	4	no	—
2334	C₂×D₄	—	212	8	no	—
2335	C₂×D₄	—	212	4	no	—
2336	C₂×D₄	—	212	8	no	—
2337	C₂×D₄	—	212	4	no	—
2338	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2339	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2340	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2341	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2342	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2343	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2344	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2345	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2346	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2347	C₂²×C₄	—	2	4	no	—
2348	C₂²×C₄	—	53	1	no	—
2349	C₂²×C₄	—	53	1	no	—
2350	C₂²×C₄	—	53	2	no	—
2351	C₂²×C₄	—	53	2	no	—
2352	C₂²×C₄	—	53	4	no	—
2353	C₂²×C₄	—	53	2	no	—
2354	C₂²×C₄	—	53	1	no	—
2355	C₂²×C₄	—	53	1	no	—
2356	C₂²×C₄	—	53	1	no	—
2357	C₂²×C₄	—	53	1	no	—
2358	C₂²×C₄	—	53	1	no	—
2359	C₂²×C₄	—	53	1	no	—
2360	C₂²×C₄	—	53	2	no	—
2361	C₂²×C₄	—	53	2	no	—
2362	C₂²×C₄	—	53	1	no	—
2363	C₂²×C₄	—	53	1	no	—
2364	C₂²×C₄	—	53	2	no	—
2365	C₂²×C₄	—	53	2	no	—
2366	C₂²×C₄	—	53	1	no	—
2367	C₂²×C₄	—	53	1	no	—
2368	C₂²×C₄	—	53	1	no	—
2369	C₂²×C₄	—	53	1	no	—
2370	C₂²×C₄	—	53	2	no	—
2371	C₂²×C₄	—	53	2	no	—
2372	C₂²×C₄	—	53	1	no	—
2373	C₂²×C₄	—	53	1	no	—
2374	C₂²×C₄	—	53	1	no	—
2375	C₂²×C₄	—	53	1	no	—
2376	C₂²×C₄	—	53	2	no	—
2377	C₂²×C₄	—	53	2	no	—
2378	C₂²×C₄	—	53	4	no	—
2379	C₂²×C₄	—	53	4	no	—
2380	C₂²×C₄	—	53	2	no	—
2381	C₂²×C₄	—	53	4	no	—
2382	C₂²×C₄	—	53	4	no	—
2383	C₂²×C₄	—	53	4	no	—
2384	C₂²×C₄	—	53	4	no	—
2385	C₂²×C₄	—	53	4	no	—
2386	C₂²×C₄	—	53	2	no	—
2387	C₂²×C₄	—	53	4	no	—
2388	C₂²×C₄	—	53	1	no	—
2389	C₂²×C₄	—	53	1	no	—
2390	C₂²×C₄	—	53	1	no	—
2391	C₂²×C₄	—	53	1	no	—
2392	C₂²×C₄	—	106	4	no	—
2393	C₂²×C₄	—	106	4	no	—
2394	C₂²×C₄	—	212	2	no	—
2395	C₂²×C₄	—	212	2	no	—
2396	C₂²×C₄	—	212	2	no	—
2397	C₂²×C₄	—	212	2	no	—
2398	C₂²×C₄	—	212	2	no	—
2399	C₂²×C₄	—	212	2	no	—
2400	C₂²×C₄	—	212	2	no	—
2401	C₂²×C₄	—	212	2	no	—
2402	C₂²×C₄	—	212	4	no	—
2403	C₂²×C₄	—	212	4	no	—
2404	C₂²×C₄	—	212	2	no	—
2405	C₂²×C₄	—	212	2	no	—
2406	C₂²×C₄	—	212	4	no	—
2407	C₂²×C₄	—	212	2	no	—
2408	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2409	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2410	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2411	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2412	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2413	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2414	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2415	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2416	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2417	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2418	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2419	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2420	C₄⋊C₄	—	53	1	no	—
2421	C₄⋊C₄	—	53	2	no	—
2422	C₄⋊C₄	—	53	2	no	—
2423	C₄⋊C₄	—	53	2	no	—
2424	C₄⋊C₄	—	53	1	no	—
2425	C₄⋊C₄	—	53	2	no	—
2426	C₄⋊C₄	—	53	4	no	—
2427	C₄⋊C₄	—	53	4	no	—
2428	C₄⋊C₄	—	53	4	no	—
2429	C₄⋊C₄	—	53	4	no	—
2430	C₄⋊C₄	—	53	1	no	—
2431	C₄⋊C₄	—	53	1	no	—
2432	C₄⋊C₄	—	53	2	no	—
2433	C₄⋊C₄	—	53	2	no	—
2434	C₄⋊C₄	—	53	2	no	—
2435	C₄⋊C₄	—	53	2	no	—
2436	C₄⋊C₄	—	53	2	no	—
2437	C₄⋊C₄	—	53	2	no	—
2438	C₄⋊C₄	—	53	2	no	—
2439	C₄⋊C₄	—	53	2	no	—
2440	C₄⋊C₄	—	53	2	no	—
2441	C₄⋊C₄	—	53	2	no	—
2442	C₄⋊C₄	—	53	4	no	—
2443	C₄⋊C₄	—	53	4	no	—
2444	C₄⋊C₄	—	53	2	no	—
2445	C₄⋊C₄	—	53	2	no	—
2446	C₄⋊C₄	—	53	4	no	—
2447	C₄⋊C₄	—	53	4	no	—
2448	C₄⋊C₄	—	53	4	no	—
2449	C₄⋊C₄	—	53	4	no	—
2450	C₄⋊C₄	—	53	4	no	—
2451	C₄⋊C₄	—	53	4	no	—
2452	C₄⋊C₄	—	53	4	no	—
2453	C₄⋊C₄	—	53	4	no	—
2454	C₄⋊C₄	—	53	4	no	—
2455	C₄⋊C₄	—	53	4	no	—
2456	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2457	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2458	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2459	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2460	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2461	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2462	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2463	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2464	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2465	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2466	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2467	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2468	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2469	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2470	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2471	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2472	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2473	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2474	C₂²⋊C₄	—	53	2	no	—
2475	C₂²⋊C₄	—	53	2	no	—
2476	C₂²⋊C₄	—	53	4	no	—
2477	C₂²⋊C₄	—	53	2	no	—
2478	C₂²⋊C₄	—	53	2	no	—
2479	C₂²⋊C₄	—	53	2	no	—
2480	C₂²⋊C₄	—	53	2	no	—
2481	C₂²⋊C₄	—	53	2	no	—
2482	C₂²⋊C₄	—	53	2	no	—
2483	C₂²⋊C₄	—	53	2	no	—
2484	C₂²⋊C₄	—	53	4	no	—
2485	C₂²⋊C₄	—	53	2	no	—
2486	C₂²⋊C₄	—	53	2	no	—
2487	C₂²⋊C₄	—	53	2	no	—
2488	C₂²⋊C₄	—	53	2	no	—
2489	C₂²⋊C₄	—	53	2	no	—
2490	C₂²⋊C₄	—	53	2	no	—
2491	C₂²⋊C₄	—	53	4	no	—
2492	C₂²⋊C₄	—	53	4	no	—
2493	C₂²⋊C₄	—	53	4	no	—
2494	C₂²⋊C₄	—	53	4	no	—
2495	C₂²⋊C₄	—	53	4	no	—
2496	C₂²⋊C₄	—	53	4	no	—
2497	C₂²⋊C₄	—	53	2	no	—
2498	C₂²⋊C₄	—	53	2	no	—
2499	C₂²⋊C₄	—	53	2	no	—
2500	C₂²⋊C₄	—	53	2	no	—
2501	C₂²⋊C₄	—	53	2	no	—
2502	C₂²⋊C₄	—	53	2	no	—
2503	C₂²⋊C₄	—	53	2	no	—
2504	C₂²⋊C₄	—	53	2	no	—
2505	C₂²⋊C₄	—	53	2	no	—
2506	C₂²⋊C₄	—	53	2	no	—
2507	C₂²⋊C₄	—	53	2	no	—
2508	C₂²⋊C₄	—	53	4	no	—
2509	C₂²⋊C₄	—	53	4	no	—
2510	C₂²⋊C₄	—	53	2	no	—
2511	C₂²⋊C₄	—	53	4	no	—
2512	C₂²⋊C₄	—	53	2	no	—
2513	C₂²⋊C₄	—	53	2	no	—
2514	C₂²⋊C₄	—	53	4	no	—
2515	C₂²⋊C₄	—	53	4	no	—
2516	C₂²⋊C₄	—	53	4	no	—
2517	C₂²⋊C₄	—	53	4	no	—
2518	C₂²⋊C₄	—	53	4	no	—
2519	C₂²⋊C₄	—	53	4	no	—
2520	C₂²⋊C₄	—	53	2	no	—
2521	C₂²⋊C₄	—	53	4	no	—
2522	C₂²⋊C₄	—	53	4	no	—
2523	C₂²⋊C₄	—	53	4	no	—
2524	C₂²⋊C₄	—	53	4	no	—
2525	C₂²⋊C₄	—	53	4	no	—
2526	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2527	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2528	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2529	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2530	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2531	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2532	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2533	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2534	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2535	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2536	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2537	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2538	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2539	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2540	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2541	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2542	C₄²	—	53	2	no	—
2543	C₄²	—	53	2	no	—
2544	C₄²	—	53	2	no	—
2545	C₄²	—	53	2	no	—
2546	C₄²	—	53	2	no	—
2547	C₄²	—	53	2	no	—
2548	C₄²	—	53	4	no	—
2549	C₄²	—	53	4	no	—
2550	C₄²	—	53	4	no	—
2551	C₄²	—	53	4	no	—
2552	C₄²	C₂³×D₅₃	1	2	yes	—
2553	C₄²	C₂³×D₅₃	1	2	yes	—
2554	C₄²	C₂³×D₅₃	1	4	yes	—
2555	C₄²	C₂³×D₅₃	1	4	yes	—
2556	C₄²	C₂³×D₅₃	1	4	yes	—
2557	C₄²	C₂³×D₅₃	1	4	yes	—
2558	C₂³	—	2	2	no	—
2559	C₂³	—	4	1	no	—
2560	C₂³	—	4	1	no	—
2561	C₂³	—	53	1	no	—
2562	C₂³	—	53	1	no	—
2563	C₂³	—	53	1	no	—
2564	C₂³	—	53	1	no	—
2565	C₂³	—	53	2	no	—
2566	C₂³	—	53	4	no	—
2567	C₂³	—	53	2	no	—
2568	C₂³	—	106	4	no	—
2569	C₂³	—	106	4	no	—
2570	C₂³	—	106	2	no	—
2571	C₂³	—	106	2	no	—
2572	C₂³	—	106	2	no	—
2573	C₂³	—	106	2	no	—
2574	C₂³	—	106	2	no	—
2575	C₂³	—	106	2	no	—
2576	C₂³	—	106	4	no	—
2577	C₂³	—	106	2	no	—
2578	C₂³	—	106	2	no	—
2579	C₂³	—	212	4	no	—
2580	C₂³	—	212	4	no	—
2581	C₂³	—	212	4	no	—
2582	C₂³	—	212	2	no	—
2583	C₂³	—	212	2	no	—
2584	C₂³	—	212	2	no	—
2585	C₂³	—	212	2	no	—
2586	C₂³	—	212	2	no	—
2587	C₂³	—	212	2	no	—
2588	C₂³	—	212	1	no	—
2589	C₂³	—	212	1	no	—
2590	C₂³	—	212	1	no	—
2591	C₂³	—	212	1	no	—
2592	C₂³	—	212	1	no	—
2593	C₂³	—	212	1	no	—
2594	C₂³	—	212	1	no	—
2595	C₂³	—	212	1	no	—
2596	C₂³	—	212	1	no	—
2597	C₂³	—	212	1	no	—
2598	C₂³	—	212	16	no	—
2599	C₂³	C₂⁴×D₅₃	1	2	yes	—
2600	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2601	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2602	C₂³	C₂⁴×D₅₃	1	2	yes	—
2603	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2604	Q₈	—	2	2	no	—
2605	Q₈	—	2	2	no	—
2606	Q₈	—	4	4	no	—
2607	Q₈	—	106	4	no	—
2608	Q₈	—	106	4	no	—
2609	Q₈	—	106	2	no	—
2610	Q₈	—	106	2	no	—
2611	Q₈	—	212	4	no	—
2612	Q₈	—	212	2	no	—
2613	Q₈	—	212	2	no	—
2614	Q₈	—	212	4	no	—
2615	D₄	—	2	4	no	—
2616	D₄	—	2	4	no	—
2617	D₄	—	2	2	no	—
2618	D₄	—	2	2	no	—
2619	D₄	—	4	2	no	—
2620	D₄	—	4	2	no	—
2621	D₄	—	4	4	no	—
2622	D₄	—	4	2	no	—
2623	D₄	—	4	2	no	—
2624	D₄	—	106	4	no	—
2625	D₄	—	106	8	no	—
2626	D₄	—	106	8	no	—
2627	D₄	—	106	4	no	—
2628	D₄	—	106	4	no	—
2629	D₄	—	106	4	no	—
2630	D₄	—	106	4	no	—
2631	D₄	—	106	4	no	—
2632	D₄	—	106	4	no	—
2633	D₄	—	106	4	no	—
2634	D₄	—	106	2	no	—
2635	D₄	—	106	2	no	—
2636	D₄	—	212	4	no	—
2637	D₄	—	212	4	no	—
2638	D₄	—	212	2	no	—
2639	D₄	—	212	4	no	—
2640	D₄	—	212	4	no	—
2641	D₄	—	212	2	no	—
2642	D₄	—	212	4	no	—
2643	D₄	—	212	2	no	—
2644	D₄	—	212	2	no	—
2645	D₄	—	212	4	no	—
2646	D₄	—	212	2	no	—
2647	D₄	—	212	2	no	—
2648	D₄	—	212	2	no	—
2649	D₄	—	212	2	no	—
2650	D₄	—	212	4	no	—
2651	D₄	—	212	2	no	—
2652	D₄	—	212	2	no	—
2653	D₄	—	212	4	no	—
2654	D₄	—	212	2	no	—
2655	D₄	—	212	2	no	—
2656	D₄	—	212	2	no	—
2657	D₄	—	212	2	no	—
2658	D₄	—	212	4	no	—
2659	D₄	—	212	4	no	—
2660	D₄	—	212	4	no	—
2661	D₄	—	212	4	no	—
2662	C₂×C₄	—	2	2	no	—
2663	C₂×C₄	—	2	2	no	—
2664	C₂×C₄	—	2	2	no	—
2665	C₂×C₄	—	2	2	no	—
2666	C₂×C₄	—	2	2	no	—
2667	C₂×C₄	—	2	4	no	—
2668	C₂×C₄	—	2	4	no	—
2669	C₂×C₄	—	4	2	no	—
2670	C₂×C₄	—	4	4	no	—
2671	C₂×C₄	—	4	2	no	—
2672	C₂×C₄	—	4	4	no	—
2673	C₂×C₄	—	53	2	no	—
2674	C₂×C₄	—	53	2	no	—
2675	C₂×C₄	—	53	2	no	—
2676	C₂×C₄	—	53	1	no	—
2677	C₂×C₄	—	53	1	no	—
2678	C₂×C₄	—	53	2	no	—
2679	C₂×C₄	—	53	2	no	—
2680	C₂×C₄	—	53	4	no	—
2681	C₂×C₄	—	53	2	no	—
2682	C₂×C₄	—	53	1	no	—
2683	C₂×C₄	—	53	1	no	—
2684	C₂×C₄	—	106	4	no	—
2685	C₂×C₄	—	106	4	no	—
2686	C₂×C₄	—	106	2	no	—
2687	C₂×C₄	—	106	2	no	—
2688	C₂×C₄	—	106	4	no	—
2689	C₂×C₄	—	106	2	no	—
2690	C₂×C₄	—	106	2	no	—
2691	C₂×C₄	—	106	2	no	—
2692	C₂×C₄	—	106	2	no	—
2693	C₂×C₄	—	106	2	no	—
2694	C₂×C₄	—	106	2	no	—
2695	C₂×C₄	—	106	2	no	—
2696	C₂×C₄	—	106	2	no	—
2697	C₂×C₄	—	106	4	no	—
2698	C₂×C₄	—	106	4	no	—
2699	C₂×C₄	—	212	1	no	—
2700	C₂×C₄	—	212	1	no	—
2701	C₂×C₄	—	212	1	no	—
2702	C₂×C₄	—	212	1	no	—
2703	C₂×C₄	—	212	1	no	—
2704	C₂×C₄	—	212	1	no	—
2705	C₂×C₄	—	212	1	no	—
2706	C₂×C₄	—	212	1	no	—
2707	C₂×C₄	—	212	2	no	—
2708	C₂×C₄	—	212	2	no	—
2709	C₂×C₄	—	212	4	no	—
2710	C₂×C₄	—	212	4	no	—
2711	C₂×C₄	—	212	2	no	—
2712	C₂×C₄	—	212	2	no	—
2713	C₂×C₄	—	212	2	no	—
2714	C₂×C₄	—	212	4	no	—
2715	C₂×C₄	—	212	2	no	—
2716	C₂×C₄	—	212	4	no	—
2717	C₂×C₄	—	212	4	no	—
2718	C₂×C₄	—	212	4	no	—
2719	C₂×C₄	—	212	4	no	—
2720	C₂×C₄	—	212	4	no	—
2721	C₂×C₄	—	212	1	no	—
2722	C₂×C₄	—	212	1	no	—
2723	C₂×C₄	—	212	1	no	—
2724	C₂×C₄	—	212	1	no	—
2725	C₂×C₄	—	212	2	no	—
2726	C₂×C₄	—	212	2	no	—
2727	C₂×C₄	—	212	4	no	—
2728	C₂×C₄	#13133263	1	4	yes	—
2729	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2730	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2731	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2732	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2733	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2734	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2735	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2736	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2737	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2738	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2739	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2740	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2741	C₂²	—	2	1	no	—
2742	C₂²	—	2	1	no	—
2743	C₂²	—	2	1	no	—
2744	C₂²	—	2	1	no	—
2745	C₂²	—	2	2	no	—
2746	C₂²	—	2	2	no	—
2747	C₂²	—	2	2	no	—
2748	C₂²	—	2	2	no	—
2749	C₂²	—	2	2	no	—
2750	C₂²	—	2	2	no	—
2751	C₂²	—	2	1	no	—
2752	C₂²	—	2	1	no	—
2753	C₂²	—	2	1	no	—
2754	C₂²	—	2	1	no	—
2755	C₂²	—	4	4	no	—
2756	C₂²	—	53	2	no	—
2757	C₂²	—	53	2	no	—
2758	C₂²	—	848	4	no	—
2759	C₂²	—	106	1	no	—
2760	C₂²	—	106	1	no	—
2761	C₂²	—	106	1	no	—
2762	C₂²	—	106	1	no	—
2763	C₂²	—	106	1	no	—
2764	C₂²	—	106	1	no	—
2765	C₂²	—	106	2	no	—
2766	C₂²	—	106	2	no	—
2767	C₂²	—	106	4	no	—
2768	C₂²	—	106	2	no	—
2769	C₂²	—	106	2	no	—
2770	C₂²	—	106	4	no	—
2771	C₂²	—	106	4	no	—
2772	C₂²	—	106	2	no	—
2773	C₂²	—	106	2	no	—
2774	C₂²	—	106	1	no	—
2775	C₂²	—	106	1	no	—
2776	C₂²	—	106	1	no	—
2777	C₂²	—	106	1	no	—
2778	C₂²	—	424	4	no	—
2779	C₂²	—	424	4	no	—
2780	C₂²	—	424	4	no	—
2781	C₂²	—	212	4	no	—
2782	C₂²	—	212	4	no	—
2783	C₂²	—	212	4	no	—
2784	C₂²	—	212	4	no	—
2785	C₂²	—	212	4	no	—
2786	C₂²	—	212	4	no	—
2787	C₂²	C₂×#13133263	1	2	yes	—
2788	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2789	C₄	—	2	1	no	—
2790	C₄	—	2	1	no	—
2791	C₄	—	2	2	no	—
2792	C₄	—	2	2	no	—
2793	C₄	—	2	4	no	—
2794	C₄	—	2	2	no	—
2795	C₄	—	2	2	no	—
2796	C₄	—	2	4	no	—
2797	C₄	—	2	2	no	—
2798	C₄	—	2	2	no	—
2799	C₄	—	106	1	no	—
2800	C₄	—	106	1	no	—
2801	C₄	—	106	1	no	—
2802	C₄	—	106	1	no	—
2803	C₄	—	106	2	no	—
2804	C₄	—	106	2	no	—
2805	C₄	—	106	4	no	—
2806	C₄	—	106	2	no	—
2807	C₄	—	106	2	no	—
2808	C₄	—	106	2	no	—
2809	C₄	—	106	2	no	—
2810	C₄	C₂×#13133263	1	2	yes	—
2811	C₄	C₂×#13133263	1	2	yes	—
2812	C₂	—	2	2	no	—
2813	C₂	—	4	1	no	—
2814	C₂	—	4	1	no	—
2815	C₂	—	4	2	no	—
2816	C₂	—	4	2	no	—
2817	C₂	—	106	2	no	—
2818	C₂	—	106	2	no	—
2819	C₂	—	212	2	no	—
2820	C₂	—	212	4	no	—
2821	C₂	—	212	2	no	—
2822	C₂	—	212	1	no	—
2823	C₂	—	212	1	no	—
2824	C₂	C₂²×#13133263	1	1	yes	characteristic
2825	C₂	#585×D₅₃	1	1	yes	characteristic
2826	C₂	#585×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3493	C₂
hypercenter	#3493	D₅₃
hypocenter	C₅₃	#62821
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3493

Complements

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

N	H ≅ G/N	type
1. #20289038	C₂	semidirect
2. #20289034	C₂	semidirect
3. #20289015	C₂	semidirect
4. #20289011	C₂	semidirect
5. #20288991	C₂	semidirect
6. #20288985	C₂	semidirect
7. #20288976	C₂	semidirect
8. #20288972	C₂	semidirect
9. #20288883	C₂	semidirect
10. #20288866	C₂	semidirect
11. #20288763	C₂	semidirect
12. #20288761	C₂	semidirect
13. #20288750	C₂	semidirect
14. #20288740	C₂	semidirect
15. #20288659	C₂	semidirect
16. #20288649	C₂	semidirect
17. #20288568	C₂	semidirect
18. #20288557	C₂	semidirect
19. #20288555	C₂	semidirect
20. #20288544	C₂	semidirect
21. #20288470	C₂	semidirect
22. #20288468	C₂	semidirect
23. #20288453	C₂	semidirect
24. #20288451	C₂	semidirect
25. #20288435	C₂	semidirect
26. #20288396	C₂	semidirect
27. #20288390	C₂	semidirect
28. #20288385	C₂	semidirect
29. #20288379	C₂	semidirect
30. #20288369	C₂	semidirect
31. #20288357	C₂	semidirect
32. C₂×#16811135	C₂	semidirect
33. #525×D₅₃	C₂	semidirect
34. #525×D₅₃	C₂	semidirect
35. C₅₃×#3493	C₂	semidirect
36. C₂×#13133264	C₂²	semidirect
37. C₂×#13133263	C₂²	semidirect
38. C₂²×#11719945	C₂²	semidirect
39. C₂×#41×D₅₃	C₂²	semidirect
40. C₂×#41×D₅₃	C₂²	semidirect
41. C₂³×C₄×D₅₃	C₂²	semidirect
42. #16811375	C₂²	semidirect
43. #16811370	C₂²	semidirect
44. #16811367	C₂²	semidirect
45. #16811365	C₂²	semidirect
46. #16811364	C₂²	semidirect
47. #16811363	C₂²	semidirect
48. #16811361	C₂²	semidirect
49. #16811361	C₂²	semidirect
50. #16811358	C₂²	semidirect
51. #16811355	C₂²	semidirect
52. #16811355	C₂²	semidirect
53. #16811347	C₂²	semidirect
54. #16811341	C₂²	semidirect
55. #16811341	C₂²	semidirect
56. #16811341	C₂²	semidirect
57. #16811339	C₂²	semidirect
58. #16811336	C₂²	semidirect
59. #16811336	C₂²	semidirect
60. #16811336	C₂²	semidirect
61. #16811334	C₂²	semidirect
62. #16811333	C₂²	semidirect
63. #16811329	C₂²	semidirect
64. #16811328	C₂²	semidirect
65. #16811326	C₂²	semidirect
66. #16811326	C₂²	semidirect
67. #16811326	C₂²	semidirect
68. #16811325	C₂²	semidirect
69. #16811324	C₂²	semidirect
70. #16811324	C₂²	semidirect
71. #16811324	C₂²	semidirect
72. #16811321	C₂²	semidirect
73. #16811319	C₂²	semidirect
74. #16811317	C₂²	semidirect
75. #16811317	C₂²	semidirect
76. #16811317	C₂²	semidirect
77. #16811317	C₂²	semidirect
78. #16811317	C₂²	semidirect
79. #16811315	C₂²	semidirect
80. #16811313	C₂²	semidirect
81. #16811312	C₂²	semidirect
82. #16811312	C₂²	semidirect
83. #16811312	C₂²	semidirect
84. #16811311	C₂²	semidirect
85. #16811311	C₂²	semidirect
86. #16811308	C₂²	semidirect
87. #16811302	C₂²	semidirect
88. #16811302	C₂²	semidirect
89. #16811300	C₂²	semidirect
90. #16811300	C₂²	semidirect
91. #16811298	C₂²	semidirect
92. #16811298	C₂²	semidirect
93. #16811298	C₂²	semidirect
94. #16811297	C₂²	semidirect
95. #16811297	C₂²	semidirect
96. #16811296	C₂²	semidirect
97. #16811295	C₂²	semidirect
98. #16811294	C₂²	semidirect
99. #16811294	C₂²	semidirect
100. #16811291	C₂²	semidirect
101. #16811291	C₂²	semidirect
102. #16811291	C₂²	semidirect
103. Q₈×D₂₁₂	C₂²	semidirect
104. #16811286	C₂²	semidirect
105. #16811285	C₂²	semidirect
106. #16811285	C₂²	semidirect
107. #16811283	C₂²	semidirect
108. #16811283	C₂²	semidirect
109. #16811283	C₂²	semidirect
110. #16811282	C₂²	semidirect
111. #16811282	C₂²	semidirect
112. #16811279	C₂²	semidirect
113. #16811278	C₂²	semidirect
114. #16811278	C₂²	semidirect
115. #16811277	C₂²	semidirect
116. #16811277	C₂²	semidirect
117. #16811276	C₂²	semidirect
118. #16811275	C₂²	semidirect
119. #16811275	C₂²	semidirect
120. #16811275	C₂²	semidirect
121. #16811274	C₂²	semidirect
122. #16811273	C₂²	semidirect
123. #16811270	C₂²	semidirect
124. #16811270	C₂²	semidirect
125. #16811270	C₂²	semidirect
126. #16811269	C₂²	semidirect
127. #16811269	C₂²	semidirect
128. #16811269	C₂²	semidirect
129. #16811269	C₂²	semidirect
130. #16811268	C₂²	semidirect
131. #16811268	C₂²	semidirect
132. #16811268	C₂²	semidirect
133. #16811268	C₂²	semidirect
134. #16811266	C₂²	semidirect
135. #16811266	C₂²	semidirect
136. #16811265	C₂²	semidirect
137. #16811264	C₂²	semidirect
138. #16811264	C₂²	semidirect
139. #16811262	C₂²	semidirect
140. #16811262	C₂²	semidirect
141. D₄×D₂₁₂	C₂²	semidirect
142. D₄×D₂₁₂	C₂²	semidirect
143. #16811257	C₂²	semidirect
144. #16811257	C₂²	semidirect
145. #16811257	C₂²	semidirect
146. #16811254	C₂²	semidirect
147. #16811247	C₂²	semidirect
148. #16811247	C₂²	semidirect
149. #16811245	C₂²	semidirect
150. #16811245	C₂²	semidirect
151. #16811244	C₂²	semidirect
152. #16811242	C₂²	semidirect
153. #16811239	C₂²	semidirect
154. #16811238	C₂²	semidirect
155. #16811236	C₂²	semidirect
156. #16811231	C₂²	semidirect
157. #16811229	C₂²	semidirect
158. #16811228	C₂²	semidirect
159. #16811226	C₂²	semidirect
160. #16811225	C₂²	semidirect
161. #16811224	C₂²	semidirect
162. #16811224	C₂²	semidirect
163. #16811221	C₂²	semidirect
164. #16811221	C₂²	semidirect
165. #16811217	C₂²	semidirect
166. #16811214	C₂²	semidirect
167. #16811214	C₂²	semidirect
168. #16811214	C₂²	semidirect
169. #16811212	C₂²	semidirect
170. #16811212	C₂²	semidirect
171. #16811212	C₂²	semidirect
172. #16811212	C₂²	semidirect
173. #16811211	C₂²	semidirect
174. #16811210	C₂²	semidirect
175. #16811209	C₂²	semidirect
176. #16811207	C₂²	semidirect
177. #16811207	C₂²	semidirect
178. #16811207	C₂²	semidirect
179. #16811207	C₂²	semidirect
180. #16811204	C₂²	semidirect
181. #16811204	C₂²	semidirect
182. #16811204	C₂²	semidirect
183. #16811203	C₂²	semidirect
184. #16811202	C₂²	semidirect
185. #16811199	C₂²	semidirect
186. #16811199	C₂²	semidirect
187. #16811196	C₂²	semidirect
188. #16811194	C₂²	semidirect
189. #16811192	C₂²	semidirect
190. #16811192	C₂²	semidirect
191. #16811191	C₂²	semidirect
192. #16811189	C₂²	semidirect
193. #16811189	C₂²	semidirect
194. #16811188	C₂²	semidirect
195. #16811187	C₂²	semidirect
196. #16811184	C₂²	semidirect
197. #16811183	C₂²	semidirect
198. #16811181	C₂²	semidirect
199. #16811178	C₂²	semidirect
200. #16811177	C₂²	semidirect
201. #16811174	C₂²	semidirect
202. #16811170	C₂²	semidirect
203. #16811160	C₂²	semidirect
204. #16811158	C₂²	semidirect
205. #16811158	C₂²	semidirect
206. #16811157	C₂²	semidirect
207. #16811155	C₂²	semidirect
208. #16811136	C₂²	semidirect
209. #16811136	C₂²	semidirect
210. #16811136	C₂²	semidirect
211. #16811136	C₂²	semidirect
212. #16811136	C₂²	semidirect
214. #16811135	C₂²	semidirect
215. #16811135	C₂²	semidirect
216. #16811135	C₂²	semidirect
217. #16811135	C₂²	semidirect
218. #16811135	C₂²	semidirect
219. #16811135	C₂²	semidirect
220. #16811135	C₂²	semidirect
221. #16811135	C₂²	semidirect
222. #16811135	C₂²	semidirect
223. #16811135	C₂²	semidirect
224. #16811135	C₂²	semidirect
225. #16811134	C₂²	semidirect
226. #16811134	C₂²	semidirect
227. #16811133	C₂²	semidirect
228. #16811133	C₂²	semidirect
229. #16811133	C₂²	semidirect
230. #16811133	C₂²	semidirect
231. #16811133	C₂²	semidirect
232. #16811132	C₂²	semidirect
233. #16811132	C₂²	semidirect
234. #16811132	C₂²	semidirect
235. #16811132	C₂²	semidirect
236. #16811131	C₂²	semidirect
237. #16811131	C₂²	semidirect
238. #16811131	C₂²	semidirect
240. #16811130	C₂²	semidirect
241. #16811129	C₂²	semidirect
242. #16811129	C₂²	semidirect
243. C₂×#13133201	C₂²	semidirect
244. #123×D₅₃	C₂²	semidirect
245. #123×D₅₃	C₂²	semidirect
246. #123×D₅₃	C₂²	semidirect
247. C₂×#13133197	C₂²	semidirect
248. C₂×#13133197	C₂²	semidirect
249. C₂×#13133197	C₂²	semidirect
250. C₂²⋊Q₈×D₅₃	C₂²	semidirect
251. C₂²⋊Q₈×D₅₃	C₂²	semidirect
252. C₂²⋊Q₈×D₅₃	C₂²	semidirect
253. C₂²⋊Q₈×D₅₃	C₂²	semidirect
254. C₂²⋊Q₈×D₅₃	C₂²	semidirect
255. C₂×#13133192	C₂²	semidirect
256. C₂×#13133192	C₂²	semidirect
257. C₂×#13133192	C₂²	semidirect
258. #121×D₅₃	C₂²	semidirect
259. #121×D₅₃	C₂²	semidirect
260. #121×D₅₃	C₂²	semidirect
261. #121×D₅₃	C₂²	semidirect
262. #121×D₅₃	C₂²	semidirect
263. C₂×#13133187	C₂²	semidirect
264. #120×D₅₃	C₂²	semidirect
265. #120×D₅₃	C₂²	semidirect
266. #16811105	C₂²	semidirect
267. #16811104	C₂²	semidirect
268. #16811104	C₂²	semidirect
269. #16811103	C₂²	semidirect
270. #16811100	C₂²	semidirect
271. #16811097	C₂²	semidirect
272. #16811097	C₂²	semidirect
273. #16811095	C₂²	semidirect
274. C₂×C₄×D₂₁₂	C₂²	semidirect
275. C₂×C₄×D₂₁₂	C₂²	semidirect
276. C₄×D₄×D₅₃	C₂²	semidirect
277. C₄×D₄×D₅₃	C₂²	semidirect
278. C₄×D₄×D₅₃	C₂²	semidirect
279. C₄×D₄×D₅₃	C₂²	semidirect
280. #117×D₅₃	C₂²	semidirect
281. #117×D₅₃	C₂²	semidirect
282. C₅₃×#556	C₂²	semidirect
283. C₅₃×#556	C₂²	semidirect
284. C₅₃×#555	C₂²	semidirect
285. C₅₃×#555	C₂²	semidirect
286. C₅₃×#553	C₂²	semidirect
287. C₅₃×#553	C₂²	semidirect
288. C₅₃×#552	C₂²	semidirect
289. C₅₃×#552	C₂²	semidirect
290. C₅₃×#544	C₂²	semidirect
291. C₅₃×#538	C₂²	semidirect
292. C₅₃×#537	C₂²	semidirect
293. C₅₃×#529	C₂²	semidirect
294. C₅₃×#525	C₂²	semidirect
295. C₅₃×#525	C₂²	semidirect
296. C₅₃×#520	C₂²	semidirect
297. C₅₃×#520	C₂²	semidirect
298. C₂×#117×C₅₃	C₂²	semidirect
305. C₂×#11719949	C₂³	semidirect
316. C₂×#11719945	C₂³	semidirect
317. C₂×#11719945	C₂³	semidirect
323. C₂×#11719947	C₂³	semidirect
327. C₂²×Dic₁₀₆	C₂³	semidirect
330. C₂×Q₈×D₅₃	C₂³	semidirect
335. C₂²×D₂₁₂	C₂³	semidirect
347. C₂×D₄×D₅₃	C₂³	semidirect
365. #13133217	C₂³	semidirect
366. #13133217	C₂³	semidirect
367. #13133216	C₂³	semidirect
368. #13133216	C₂³	semidirect
369. #13133216	C₂³	semidirect
370. #13133215	C₂³	semidirect
372. #13133214	C₂³	semidirect
376. #13133213	C₂³	semidirect
380. #13133212	C₂³	semidirect
381. #13133212	C₂³	semidirect
382. #13133212	C₂³	semidirect
383. #13133212	C₂³	semidirect
384. #13133212	C₂³	semidirect
386. #13133211	C₂³	semidirect
387. #13133211	C₂³	semidirect
388. #13133211	C₂³	semidirect
391. #13133210	C₂³	semidirect
392. #13133210	C₂³	semidirect
393. #13133209	C₂³	semidirect
394. #13133209	C₂³	semidirect
395. #13133208	C₂³	semidirect
396. #13133208	C₂³	semidirect
397. #13133208	C₂³	semidirect
398. #13133208	C₂³	semidirect
399. #13133208	C₂³	semidirect
400. #13133207	C₂³	semidirect
401. #13133207	C₂³	semidirect
404. #13133206	C₂³	semidirect
405. #13133206	C₂³	semidirect
408. #13133205	C₂³	semidirect
409. #13133205	C₂³	semidirect
410. #13133205	C₂³	semidirect
411. #13133205	C₂³	semidirect
412. #13133204	C₂³	semidirect
419. #13133203	C₂³	semidirect
420. #13133203	C₂³	semidirect
432. #13133202	C₂³	semidirect
433. #13133202	C₂³	semidirect
434. #13133202	C₂³	semidirect
435. #13133202	C₂³	semidirect
436. #13133202	C₂³	semidirect
445. #13133201	C₂³	semidirect
446. #13133201	C₂³	semidirect
447. #13133201	C₂³	semidirect
451. #13133200	C₂³	semidirect
461. #13133199	C₂³	semidirect
462. #13133199	C₂³	semidirect
463. #13133199	C₂³	semidirect
464. #13133199	C₂³	semidirect
465. #13133199	C₂³	semidirect
482. #13133197	C₂³	semidirect
483. #13133197	C₂³	semidirect
484. #13133197	C₂³	semidirect
485. #13133197	C₂³	semidirect
486. #13133197	C₂³	semidirect
487. #13133197	C₂³	semidirect
488. #13133197	C₂³	semidirect
494. #13133196	C₂³	semidirect
495. #13133196	C₂³	semidirect
496. #13133196	C₂³	semidirect
503. #13133195	C₂³	semidirect
504. #13133195	C₂³	semidirect
505. #13133195	C₂³	semidirect
506. #13133195	C₂³	semidirect
511. #13133194	C₂³	semidirect
512. #13133194	C₂³	semidirect
518. #13133193	C₂³	semidirect
519. #13133193	C₂³	semidirect
539. #13133192	C₂³	semidirect
540. #13133192	C₂³	semidirect
541. #13133192	C₂³	semidirect
542. #13133192	C₂³	semidirect
543. #13133192	C₂³	semidirect
552. #13133191	C₂³	semidirect
553. #13133191	C₂³	semidirect
554. #13133191	C₂³	semidirect
555. #13133191	C₂³	semidirect
571. #13133190	C₂³	semidirect
572. #13133190	C₂³	semidirect
573. #13133190	C₂³	semidirect
581. #13133189	C₂³	semidirect
588. #13133188	C₂³	semidirect
605. #13133187	C₂³	semidirect
618. #13133185	C₂³	semidirect
619. Q₈×Dic₅₃	C₂³	semidirect
620. C₄×Dic₁₀₆	C₂³	semidirect
621. C₄×Dic₁₀₆	C₂³	semidirect
622. C₄×Dic₁₀₆	C₂³	semidirect
623. C₄×Dic₁₀₆	C₂³	semidirect
624. #13133182	C₂³	semidirect
625. #13133182	C₂³	semidirect
626. #13133182	C₂³	semidirect
627. #13133182	C₂³	semidirect
643. C₄×D₂₁₂	C₂³	semidirect
644. C₄×D₂₁₂	C₂³	semidirect
645. C₄×D₂₁₂	C₂³	semidirect
646. C₄×D₂₁₂	C₂³	semidirect
647. C₄×D₂₁₂	C₂³	semidirect
652. D₄×Dic₅₃	C₂³	semidirect
660. #13133179	C₂³	semidirect
661. #13133179	C₂³	semidirect
662. #13133179	C₂³	semidirect
663. #13133179	C₂³	semidirect
664. #13133179	C₂³	semidirect
665. #13133179	C₂³	semidirect
666. #13133179	C₂³	semidirect
678. C₄×C₂²⋊D₅₃	C₂³	semidirect
688. #13133177	C₂³	semidirect
689. #13133177	C₂³	semidirect
690. #13133177	C₂³	semidirect
693. #13133176	C₂³	semidirect
699. #13133175	C₂³	semidirect
700. #13133175	C₂³	semidirect
701. #13133175	C₂³	semidirect
702. #13133175	C₂³	semidirect
706. #13133174	C₂³	semidirect
707. #13133174	C₂³	semidirect
708. #13133174	C₂³	semidirect
714. C₂×C₄⋊Dic₅₃	C₂³	semidirect
723. C₄⋊C₄×D₅₃	C₂³	semidirect
724. C₄⋊C₄×D₅₃	C₂³	semidirect
725. C₄⋊C₄×D₅₃	C₂³	semidirect
726. C₄⋊C₄×D₅₃	C₂³	semidirect
727. C₄⋊C₄×D₅₃	C₂³	semidirect
733. C₂×#11719921	C₂³	semidirect
746. C₂²⋊C₄×D₅₃	C₂³	semidirect
747. C₂²⋊C₄×D₅₃	C₂³	semidirect
748. C₂²⋊C₄×D₅₃	C₂³	semidirect
754. C₄⋊Q₈×C₅₃	C₂³	semidirect
755. C₄⋊Q₈×C₅₃	C₂³	semidirect
758. #126×C₅₃	C₂³	semidirect
759. #126×C₅₃	C₂³	semidirect
760. #125×C₅₃	C₂³	semidirect
761. #125×C₅₃	C₂³	semidirect
762. #125×C₅₃	C₂³	semidirect
765. #124×C₅₃	C₂³	semidirect
775. C₂²⋊Q₈×C₅₃	C₂³	semidirect
776. C₂²⋊Q₈×C₅₃	C₂³	semidirect
784. #121×C₅₃	C₂³	semidirect
785. #121×C₅₃	C₂³	semidirect
788. C₄×Q₈×C₅₃	C₂³	semidirect
789. C₄×Q₈×C₅₃	C₂³	semidirect
790. C₄×Q₈×C₅₃	C₂³	semidirect
797. C₄×D₄×C₅₃	C₂³	semidirect
798. C₄×D₄×C₅₃	C₂³	semidirect
799. C₄×D₄×C₅₃	C₂³	semidirect
806. #117×C₅₃	C₂³	semidirect
807. #117×C₅₃	C₂³	semidirect
808. #117×C₅₃	C₂³	semidirect
809. #117×C₅₃	C₂³	semidirect
812. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
813. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
1424. #3493	D₅₃	semidirect
1470. #556	C₂×D₅₃	semidirect
1471. #556	C₂×D₅₃	semidirect
1476. #555	C₂×D₅₃	semidirect
1477. #555	C₂×D₅₃	semidirect
1496. #553	C₂×D₅₃	semidirect
1497. #553	C₂×D₅₃	semidirect
1506. #552	C₂×D₅₃	semidirect
1507. #552	C₂×D₅₃	semidirect
1568. #544	C₂×D₅₃	semidirect
1602. #538	C₂×D₅₃	semidirect
1608. #537	C₂×D₅₃	semidirect
1632. #529	C₂×D₅₃	semidirect
1668. #525	C₂×D₅₃	semidirect
1669. #525	C₂×D₅₃	semidirect
1697. #520	C₂×D₅₃	semidirect
1698. #520	C₂×D₅₃	semidirect
1711. C₂×#117	C₂×D₅₃	semidirect
1712. C₅₃	#62821	semidirect
1788. C₄⋊Q₈	C₂²×D₅₃	semidirect
1789. C₄⋊Q₈	C₂²×D₅₃	semidirect
1814. #126	C₂²×D₅₃	semidirect
1815. #126	C₂²×D₅₃	semidirect
1825. #125	C₂²×D₅₃	semidirect
1826. #125	C₂²×D₅₃	semidirect
1827. #125	C₂²×D₅₃	semidirect
1849. #124	C₂²×D₅₃	semidirect
1958. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1959. C₂²⋊Q₈	C₂²×D₅₃	semidirect
2036. #121	C₂²×D₅₃	semidirect
2037. #121	C₂²×D₅₃	semidirect
2079. C₄×Q₈	C₂²×D₅₃	semidirect
2080. C₄×Q₈	C₂²×D₅₃	semidirect
2081. C₄×Q₈	C₂²×D₅₃	semidirect
2151. C₄×D₄	C₂²×D₅₃	semidirect
2152. C₄×D₄	C₂²×D₅₃	semidirect
2153. C₄×D₄	C₂²×D₅₃	semidirect
2181. #117	C₂²×D₅₃	semidirect
2182. #117	C₂²×D₅₃	semidirect
2183. #117	C₂²×D₅₃	semidirect
2184. #117	C₂²×D₅₃	semidirect
2203. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2204. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20289038	2
#20289034	2
#20289015	2
#20289011	2
#20288991	2
#20288985	2
#20288976	2
#20288972	2
#20288883	2
#20288866	2
#20288763	2
#20288761	2
#20288750	2
#20288740	2
#20288659	2
#20288649	2
#20288568	2
#20288557	2
#20288555	2
#20288544	2
#20288470	2
#20288468	2
#20288453	2
#20288451	2
#20288435	2
#20288396	2
#20288390	2
#20288385	2
#20288379	2
#20288369	2
#20288357	2
C₂×#16811135	2
#525×D₅₃	2
C₅₃×#3493	2
#62821	53