Subgroups — #28292738

Order 13568.

7242 conjugacy classes of subgroups.

The subgroup lattice has 2788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289015	C₂	1	2	yes	maximal, complemented
2	#20289014	C₂	1	2	yes	maximal, complemented
3	#20289011	C₂	1	2	yes	maximal, complemented
4	#20289004	C₂	1	2	yes	maximal, complemented
5	#20288963	C₂	1	2	yes	maximal, complemented
6	#20288961	C₂	1	2	yes	maximal, complemented
7	#20288943	C₂	1	2	yes	maximal, complemented
8	#20288940	C₂	1	2	yes	maximal, complemented
9	#20288927	C₂	1	4	yes	maximal, complemented
10	#20288920	C₂	1	4	yes	maximal, complemented
11	#20288766	C₂	1	2	yes	maximal, complemented
12	#20288763	C₂	1	2	yes	maximal, complemented
13	#20288761	C₂	1	2	yes	maximal, complemented
14	#20288759	C₂	1	2	yes	maximal, complemented
15	#20288555	C₂	1	2	yes	maximal, complemented
16	#20288550	C₂	1	2	yes	maximal, complemented
17	#20288516	C₂	1	2	yes	maximal, complemented
18	#20288512	C₂	1	2	yes	maximal, complemented
19	#20288470	C₂	1	1	yes	maximal, characteristic, complemented
20	#20288467	C₂	1	1	yes	maximal, characteristic, complemented
21	#20288457	C₂	1	1	yes	maximal, characteristic, complemented
22	#20288425	C₂	1	1	yes	maximal, characteristic, complemented
23	#20288418	C₂	1	1	yes	maximal, characteristic, complemented
24	#20288415	C₂	1	4	yes	maximal, complemented
25	#20288399	C₂	1	4	yes	maximal, complemented
26	#20288396	C₂	1	1	yes	maximal, characteristic, complemented
27	#20288393	C₂	1	1	yes	maximal, characteristic, complemented
28	#20288391	C₂	1	1	yes	maximal, characteristic, complemented
29	#20288387	C₂	1	1	yes	maximal, characteristic, complemented
30	#20288367	C₂	1	1	yes	maximal, characteristic, complemented
31	#20288364	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	C₂×C₂²⋊Q₈×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
35	C₅₃×#3495	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂×#13133265	C₂²	1	1	yes	characteristic, complemented
37	C₂×#13133264	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	C₂²×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
41	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic
42	#16811377	C₂²	1	4	yes	complemented
43	#16811375	C₂²	1	4	yes	complemented
44	#16811375	C₂²	1	4	yes	complemented
45	#16811375	C₂²	1	4	yes	complemented
46	#16811371	C₂²	1	4	yes	complemented
47	#16811370	C₂²	1	4	yes	complemented
48	#16811369	C₂²	1	4	yes	complemented
49	#16811367	C₂²	1	4	yes	complemented
50	#16811347	C₂²	1	2	yes	complemented
51	#16811346	C₂²	1	2	yes	complemented
52	#16811341	C₂²	1	2	yes	complemented
53	#16811334	C₂²	1	2	yes	complemented
54	#16811334	C₂²	1	2	yes	complemented
55	#16811334	C₂²	1	2	yes	complemented
56	#16811333	C₂²	1	4	yes	complemented
57	#16811333	C₂²	1	4	yes	complemented
58	#16811333	C₂²	1	2	yes	complemented
59	#16811333	C₂²	1	2	yes	complemented
60	#16811331	C₂²	1	4	yes	complemented
61	#16811331	C₂²	1	4	yes	complemented
62	#16811330	C₂²	1	4	yes	complemented
63	#16811329	C₂²	1	4	yes	complemented
64	#16811329	C₂²	1	4	yes	complemented
65	#16811329	C₂²	1	4	yes	complemented
66	#16811328	C₂²	1	2	yes	complemented
67	#16811328	C₂²	1	2	yes	complemented
68	#16811326	C₂²	1	2	yes	complemented
69	#16811326	C₂²	1	4	yes	complemented
70	#16811326	C₂²	1	2	yes	complemented
71	#16811324	C₂²	1	4	yes	complemented
72	#16811324	C₂²	1	4	yes	complemented
73	#16811323	C₂²	1	2	yes	complemented
74	#16811317	C₂²	1	4	yes	complemented
75	#16811317	C₂²	1	2	yes	complemented
76	#16811315	C₂²	1	4	yes	complemented
77	#16811314	C₂²	1	2	yes	complemented
78	#16811314	C₂²	1	2	yes	complemented
79	#16811314	C₂²	1	2	yes	complemented
80	#16811312	C₂²	1	2	yes	complemented
81	#16811312	C₂²	1	2	yes	complemented
82	#16811311	C₂²	1	2	yes	complemented
83	#16811311	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	#16811306	C₂²	1	4	yes	complemented
88	#16811306	C₂²	1	4	yes	complemented
89	#16811300	C₂²	1	4	yes	complemented
90	#16811299	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	#16811297	C₂²	1	4	yes	complemented
97	#16811297	C₂²	1	4	yes	complemented
98	#16811296	C₂²	1	4	yes	complemented
99	#16811296	C₂²	1	4	yes	complemented
100	Q₈×D₂₁₂	C₂²	1	2	yes	complemented
101	Q₈×D₂₁₂	C₂²	1	2	yes	complemented
102	Q₈×D₂₁₂	C₂²	1	2	yes	complemented
103	Q₈×D₂₁₂	C₂²	1	2	yes	complemented
104	Q₈×D₂₁₂	C₂²	1	2	yes	complemented
105	D₄×Dic₁₀₆	C₂²	1	2	yes	complemented
106	#16811288	C₂²	1	2	yes	complemented
107	#16811288	C₂²	1	2	yes	complemented
108	#16811288	C₂²	1	2	yes	complemented
109	#16811286	C₂²	1	2	yes	complemented
110	#16811286	C₂²	1	2	yes	complemented
111	#16811286	C₂²	1	2	yes	complemented
112	#16811285	C₂²	1	2	yes	complemented
113	#16811285	C₂²	1	2	yes	complemented
114	#16811285	C₂²	1	2	yes	complemented
115	#16811285	C₂²	1	2	yes	complemented
116	#16811285	C₂²	1	2	yes	complemented
117	#16811283	C₂²	1	2	yes	complemented
118	#16811283	C₂²	1	2	yes	complemented
119	#16811283	C₂²	1	2	yes	complemented
120	#16811282	C₂²	1	2	yes	complemented
121	#16811281	C₂²	1	2	yes	complemented
122	#16811281	C₂²	1	2	yes	complemented
123	#16811281	C₂²	1	2	yes	complemented
124	#16811278	C₂²	1	2	yes	complemented
125	#16811278	C₂²	1	2	yes	complemented
126	#16811277	C₂²	1	4	yes	complemented
127	#16811277	C₂²	1	2	yes	complemented
128	#16811276	C₂²	1	2	yes	complemented
129	#16811276	C₂²	1	2	yes	complemented
130	#16811276	C₂²	1	2	yes	complemented
131	#16811275	C₂²	1	2	yes	complemented
132	#16811274	C₂²	1	4	yes	complemented
133	#16811274	C₂²	1	2	yes	complemented
134	#16811271	C₂²	1	4	yes	complemented
135	#16811271	C₂²	1	4	yes	complemented
136	#16811269	C₂²	1	4	yes	complemented
137	#16811269	C₂²	1	2	yes	complemented
138	#16811268	C₂²	1	4	yes	complemented
139	#16811268	C₂²	1	2	yes	complemented
140	#16811266	C₂²	1	4	yes	complemented
141	#16811266	C₂²	1	2	yes	complemented
142	#16811265	C₂²	1	4	yes	complemented
143	#16811265	C₂²	1	4	yes	complemented
144	#16811264	C₂²	1	4	yes	complemented
145	#16811264	C₂²	1	2	yes	complemented
146	#16811263	C₂²	1	4	yes	complemented
147	#16811260	C₂²	1	4	yes	complemented
148	#16811253	C₂²	1	4	yes	complemented
149	#16811253	C₂²	1	4	yes	complemented
150	#16811251	C₂²	1	4	yes	complemented
151	#16811251	C₂²	1	1	yes	characteristic, complemented
152	#16811248	C₂²	1	4	yes	—
153	#16811248	C₂²	1	4	yes	complemented
154	#16811248	C₂²	1	4	yes	complemented
155	#16811247	C₂²	1	2	yes	complemented
156	#16811245	C₂²	1	2	yes	complemented
157	#16811245	C₂²	1	4	yes	complemented
158	#16811244	C₂²	1	2	yes	complemented
159	#16811244	C₂²	1	4	yes	complemented
160	#16811242	C₂²	1	4	yes	complemented
161	#16811239	C₂²	1	4	yes	complemented
162	#16811236	C₂²	1	2	yes	complemented
163	#16811235	C₂²	1	2	yes	complemented
164	#16811231	C₂²	1	2	yes	complemented
165	#16811222	C₂²	1	4	yes	complemented
166	#16811221	C₂²	1	4	yes	complemented
167	#16811221	C₂²	1	4	yes	complemented
168	#16811221	C₂²	1	4	yes	complemented
169	#16811221	C₂²	1	4	yes	complemented
170	#16811217	C₂²	1	4	yes	complemented
171	#16811217	C₂²	1	4	yes	complemented
172	#16811215	C₂²	1	4	yes	complemented
173	#16811214	C₂²	1	4	yes	complemented
174	#16811214	C₂²	1	4	yes	complemented
175	#16811214	C₂²	1	4	yes	complemented
176	#16811214	C₂²	1	4	yes	complemented
177	#16811212	C₂²	1	4	yes	complemented
178	#16811212	C₂²	1	4	yes	complemented
179	#16811212	C₂²	1	4	yes	complemented
180	#16811209	C₂²	1	4	yes	complemented
181	#16811207	C₂²	1	4	yes	complemented
182	#16811206	C₂²	1	4	yes	complemented
183	#16811204	C₂²	1	1	yes	characteristic, complemented
184	#16811204	C₂²	1	2	yes	complemented
185	#16811203	C₂²	1	2	yes	complemented
186	#16811203	C₂²	1	4	yes	complemented
187	#16811203	C₂²	1	2	yes	complemented
188	#16811202	C₂²	1	2	yes	complemented
189	#16811201	C₂²	1	1	yes	characteristic, complemented
190	#16811199	C₂²	1	1	yes	characteristic, complemented
191	#16811199	C₂²	1	1	yes	characteristic, complemented
192	#16811199	C₂²	1	4	yes	complemented
193	#16811199	C₂²	1	2	yes	complemented
194	#16811197	C₂²	1	1	yes	characteristic, complemented
195	#16811196	C₂²	1	2	yes	complemented
196	#16811196	C₂²	1	2	yes	complemented
197	#16811196	C₂²	1	2	yes	complemented
198	#16811195	C₂²	1	4	yes	complemented
199	#16811184	C₂²	1	4	yes	—
200	#16811180	C₂²	1	2	yes	complemented
201	#16811178	C₂²	1	2	yes	complemented
202	#16811177	C₂²	1	2	yes	complemented
203	#16811160	C₂²	1	2	yes	complemented
204	#16811158	C₂²	1	2	yes	complemented
205	#16811157	C₂²	1	2	yes	complemented
206	#16811136	C₂²	1	1	yes	characteristic
207	#16811136	C₂²	1	4	yes	complemented
208	#16811136	C₂²	1	1	yes	characteristic, complemented
209	#16811136	C₂²	1	2	yes	complemented
210	#16811136	C₂²	1	2	yes	complemented
211	#16811135	C₂²	1	1	yes	characteristic
212	#16811135	C₂²	1	1	yes	characteristic
213	#16811135	C₂²	1	2	yes	—
214	#16811135	C₂²	1	2	yes	—
215	#16811135	C₂²	1	1	yes	characteristic
216	#16811135	C₂²	1	1	yes	characteristic
217	#16811135	C₂²	1	1	yes	characteristic, complemented
218	#16811135	C₂²	1	4	yes	complemented
219	#16811135	C₂²	1	1	yes	characteristic, complemented
220	#16811135	C₂²	1	1	yes	characteristic, complemented
221	#16811135	C₂²	1	2	yes	complemented
222	#16811135	C₂²	1	2	yes	complemented
223	#16811135	C₂²	1	1	yes	characteristic, complemented
224	#16811135	C₂²	1	1	yes	characteristic, complemented
225	#16811135	C₂²	1	2	yes	complemented
226	#16811134	C₂²	1	1	yes	characteristic
227	#16811133	C₂²	1	1	yes	characteristic
228	#16811133	C₂²	1	1	yes	characteristic, complemented
229	#16811133	C₂²	1	2	yes	complemented
230	#16811132	C₂²	1	2	yes	—
231	#16811132	C₂²	1	4	yes	complemented
232	#16811132	C₂²	1	2	yes	complemented
233	#16811131	C₂²	1	4	yes	complemented
234	#16811131	C₂²	1	2	yes	complemented
235	#16811130	C₂²	1	1	yes	characteristic, complemented
236	#16811129	C₂²	1	2	yes	—
237	C₂×#13133201	C₂²	1	2	yes	complemented
238	#123×D₅₃	C₂²	1	2	yes	complemented
239	C₂×#13133197	C₂²	1	1	yes	characteristic
240	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
241	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
242	C₂×#13133197	C₂²	1	2	yes	complemented
243	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
244	C₂×#13133195	C₂²	1	2	yes	complemented
245	C₂×#13133194	C₂²	1	2	yes	complemented
246	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
247	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	—
248	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
249	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	—
250	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
251	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
252	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
253	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
254	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
255	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
256	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
257	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
258	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
259	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
260	C₂×#13133192	C₂²	1	1	yes	characteristic
261	C₂×#13133192	C₂²	1	1	yes	characteristic, complemented
262	#121×D₅₃	C₂²	1	1	yes	characteristic
263	#121×D₅₃	C₂²	1	1	yes	characteristic, complemented
264	C₂×#13133187	C₂²	1	2	yes	—
265	#120×D₅₃	C₂²	1	2	yes	—
266	#16811105	C₂²	1	4	yes	complemented
267	#16811104	C₂²	1	1	yes	characteristic, complemented
268	#16811103	C₂²	1	1	yes	characteristic, complemented
269	#16811103	C₂²	1	1	yes	characteristic, complemented
270	#16811103	C₂²	1	4	yes	complemented
271	#16811100	C₂²	1	1	yes	characteristic, complemented
272	#16811097	C₂²	1	4	yes	—
273	#16811095	C₂²	1	4	yes	—
274	C₂×C₄×D₂₁₂	C₂²	1	2	yes	—
275	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
276	C₄×D₄×D₅₃	C₂²	1	2	yes	—
277	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
278	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
279	C₂×C₄⋊C₄×D₅₃	C₂²	1	2	yes	complemented
280	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
281	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	—
282	C₅₃×#556	C₂²	1	2	yes	complemented
283	C₅₃×#554	C₂²	1	2	yes	complemented
284	C₅₃×#552	C₂²	1	2	yes	complemented
285	C₅₃×#552	C₂²	1	4	yes	complemented
286	C₅₃×#552	C₂²	1	2	yes	complemented
287	C₅₃×#551	C₂²	1	4	yes	complemented
288	C₅₃×#544	C₂²	1	1	yes	characteristic, complemented
289	C₅₃×#542	C₂²	1	2	yes	complemented
290	C₅₃×#541	C₂²	1	2	yes	complemented
291	C₅₃×#536	C₂²	1	1	yes	characteristic, complemented
292	C₅₃×#533	C₂²	1	2	yes	complemented
293	C₅₃×#529	C₂²	1	2	yes	complemented
294	C₅₃×#525	C₂²	1	1	yes	characteristic
295	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
296	C₅₃×#520	C₂²	1	1	yes	characteristic, complemented
297	C₅₃×#519	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	#13133265	—	4	4	no	—
301	#13133264	—	4	4	no	—
302	C₂×#11719949	C₂³	1	4	yes	—
303	C₂×#11719949	C₂³	1	1	yes	characteristic
304	C₂×#11719949	C₂³	1	2	yes	complemented
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	1	yes	characteristic
310	C₂×#11719945	C₂³	1	4	yes	—
311	C₂×#11719945	C₂³	1	4	yes	—
312	C₂×#11719945	C₂³	1	2	yes	—
313	C₂×#11719945	C₂³	1	1	yes	characteristic
314	C₂×#11719945	C₂³	1	1	yes	characteristic
315	C₂×#11719945	C₂³	1	2	yes	—
316	C₂×#11719945	C₂³	1	2	yes	—
317	C₂×#11719945	C₂³	1	2	yes	complemented
318	C₂×#11719947	C₂³	1	4	yes	—
319	C₂×#11719947	C₂³	1	2	yes	—
320	C₂×#11719947	C₂³	1	1	yes	characteristic
321	C₂×#11719947	C₂³	1	2	yes	complemented
322	#41×D₅₃	—	4	4	no	—
323	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
324	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
325	C₂²×Dic₁₀₆	C₂³	1	2	yes	—
326	C₂²×Dic₁₀₆	C₂³	1	2	yes	complemented
327	C₂×Q₈×D₅₃	—	4	4	no	—
328	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
329	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
330	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
331	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
332	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
333	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
334	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
335	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
336	C₂²×D₂₁₂	C₂³	1	2	yes	—
337	C₂²×D₂₁₂	C₂³	1	2	yes	—
338	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
339	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
340	C₂×D₄×D₅₃	C₂³	1	2	yes	—
341	C₂×D₄×D₅₃	C₂³	1	2	yes	—
342	C₂×D₄×D₅₃	C₂³	1	2	yes	—
343	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
344	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
345	C₂²×C₄×D₅₃	—	4	4	no	—
346	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
347	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
348	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
349	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
350	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
351	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
352	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
353	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
354	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
361	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
362	#13133217	C₂³	1	2	yes	complemented
363	#13133217	C₂³	1	4	yes	complemented
364	#13133217	C₂³	1	2	yes	complemented
365	#13133217	C₂³	1	2	yes	complemented
366	#13133217	C₂³	1	4	yes	complemented
367	#13133217	C₂³	1	4	yes	complemented
368	#13133216	C₂³	1	4	yes	complemented
369	#13133216	C₂³	1	4	yes	complemented
370	#13133216	C₂³	1	4	yes	complemented
371	#13133216	C₂³	1	2	yes	complemented
372	#13133216	C₂³	1	4	yes	complemented
373	#13133216	C₂³	1	4	yes	complemented
374	#13133215	C₂³	1	2	yes	complemented
375	#13133212	C₂³	1	4	yes	—
376	#13133212	C₂³	1	4	yes	—
377	#13133212	C₂³	1	4	yes	—
378	#13133212	C₂³	1	4	yes	complemented
379	#13133212	C₂³	1	4	yes	complemented
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	#13133211	C₂³	1	4	yes	—
385	#13133211	C₂³	1	4	yes	complemented
386	#13133211	C₂³	1	4	yes	complemented
387	#13133211	C₂³	1	4	yes	complemented
388	#13133210	C₂³	1	4	yes	—
389	#13133210	C₂³	1	4	yes	—
390	#13133210	C₂³	1	4	yes	complemented
391	#13133209	C₂³	1	4	yes	complemented
392	#13133209	C₂³	1	4	yes	complemented
393	#13133209	C₂³	1	4	yes	complemented
394	#13133209	C₂³	1	2	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	4	yes	complemented
399	#13133208	C₂³	1	4	yes	complemented
400	#13133208	C₂³	1	4	yes	complemented
401	#13133207	C₂³	1	4	yes	complemented
402	#13133207	C₂³	1	4	yes	complemented
403	#13133207	C₂³	1	4	yes	complemented
404	#13133207	C₂³	1	4	yes	complemented
405	#13133207	C₂³	1	4	yes	complemented
406	#13133206	C₂³	1	4	yes	—
407	#13133206	C₂³	1	2	yes	complemented
408	#13133205	C₂³	1	4	yes	—
409	#13133205	C₂³	1	4	yes	—
410	#13133205	C₂³	1	2	yes	complemented
411	#13133205	C₂³	1	2	yes	complemented
412	#13133205	C₂³	1	4	yes	complemented
413	#13133205	C₂³	1	4	yes	complemented
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	complemented
419	#13133203	C₂³	1	4	yes	complemented
420	#13133202	C₂³	1	4	yes	—
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	4	yes	—
428	#13133202	C₂³	1	2	yes	—
429	#13133202	C₂³	1	2	yes	—
430	#13133202	C₂³	1	4	yes	complemented
431	#13133202	C₂³	1	4	yes	complemented
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	#13133201	C₂³	1	4	yes	—
437	#13133201	C₂³	1	4	yes	—
438	#13133201	C₂³	1	2	yes	—
439	#13133201	C₂³	1	4	yes	—
440	#13133201	C₂³	1	2	yes	—
441	#13133201	C₂³	1	2	yes	—
442	#13133201	C₂³	1	2	yes	—
443	#13133201	C₂³	1	2	yes	—
444	#13133201	C₂³	1	2	yes	—
445	#13133201	C₂³	1	2	yes	—
446	#13133201	C₂³	1	2	yes	—
447	#13133201	C₂³	1	2	yes	—
448	#13133201	C₂³	1	4	yes	complemented
449	#13133201	C₂³	1	4	yes	complemented
450	#13133200	C₂³	1	2	yes	—
451	#13133200	C₂³	1	4	yes	—
452	#13133200	C₂³	1	4	yes	—
453	#13133200	C₂³	1	4	yes	complemented
454	#13133199	C₂³	1	4	yes	—
455	#13133199	C₂³	1	4	yes	—
456	#13133199	C₂³	1	4	yes	—
457	#13133199	C₂³	1	4	yes	—
458	#13133199	C₂³	1	2	yes	—
459	#13133199	C₂³	1	2	yes	—
460	#13133199	C₂³	1	4	yes	complemented
461	#13133199	C₂³	1	4	yes	complemented
462	#13133199	C₂³	1	4	yes	complemented
463	#13133198	C₂³	1	2	yes	—
464	#13133197	C₂³	1	4	yes	—
465	#13133197	C₂³	1	2	yes	—
466	#13133197	C₂³	1	2	yes	—
467	#13133197	C₂³	1	1	yes	characteristic
468	#13133197	C₂³	1	1	yes	characteristic
469	#13133197	C₂³	1	4	yes	—
470	#13133197	C₂³	1	1	yes	characteristic
471	#13133197	C₂³	1	1	yes	characteristic
472	#13133197	C₂³	1	1	yes	characteristic
473	#13133197	C₂³	1	4	yes	—
474	#13133197	C₂³	1	1	yes	characteristic
475	#13133197	C₂³	1	2	yes	—
476	#13133197	C₂³	1	2	yes	—
477	#13133197	C₂³	1	1	yes	characteristic
478	#13133197	C₂³	1	2	yes	—
479	#13133197	C₂³	1	2	yes	—
480	#13133197	C₂³	1	1	yes	characteristic
481	#13133197	C₂³	1	2	yes	—
482	#13133197	C₂³	1	1	yes	characteristic
483	#13133197	C₂³	1	1	yes	characteristic
484	#13133197	C₂³	1	2	yes	—
485	#13133197	C₂³	1	2	yes	complemented
486	#13133197	C₂³	1	4	yes	complemented
487	#13133197	C₂³	1	2	yes	complemented
488	#13133197	C₂³	1	4	yes	complemented
489	#13133197	C₂³	1	4	yes	complemented
490	#13133197	C₂³	1	4	yes	complemented
491	#13133197	C₂³	1	2	yes	complemented
492	#13133197	C₂³	1	2	yes	complemented
493	#13133197	C₂³	1	2	yes	complemented
494	#13133197	C₂³	1	4	yes	complemented
495	#13133197	C₂³	1	4	yes	complemented
496	#13133197	C₂³	1	2	yes	complemented
497	#13133196	C₂³	1	2	yes	—
498	#13133196	C₂³	1	4	yes	—
499	#13133196	C₂³	1	2	yes	—
500	#13133196	C₂³	1	2	yes	—
501	#13133196	C₂³	1	1	yes	characteristic
502	#13133196	C₂³	1	2	yes	—
503	#13133196	C₂³	1	1	yes	characteristic
504	#13133196	C₂³	1	2	yes	complemented
505	#13133196	C₂³	1	4	yes	complemented
506	#13133195	C₂³	1	4	yes	—
507	#13133195	C₂³	1	4	yes	—
508	#13133195	C₂³	1	4	yes	—
509	#13133195	C₂³	1	4	yes	—
510	#13133195	C₂³	1	4	yes	—
511	#13133195	C₂³	1	4	yes	—
512	#13133195	C₂³	1	2	yes	—
513	#13133195	C₂³	1	4	yes	—
514	#13133195	C₂³	1	4	yes	—
515	#13133195	C₂³	1	4	yes	—
516	#13133195	C₂³	1	2	yes	—
517	#13133195	C₂³	1	4	yes	complemented
518	#13133195	C₂³	1	4	yes	complemented
519	#13133195	C₂³	1	4	yes	complemented
520	#13133195	C₂³	1	4	yes	complemented
521	#13133195	C₂³	1	4	yes	complemented
522	#13133195	C₂³	1	4	yes	complemented
523	#13133195	C₂³	1	4	yes	complemented
524	#13133195	C₂³	1	4	yes	complemented
525	#13133195	C₂³	1	4	yes	complemented
526	#13133194	C₂³	1	4	yes	—
527	#13133194	C₂³	1	4	yes	—
528	#13133194	C₂³	1	4	yes	—
529	#13133194	C₂³	1	4	yes	—
530	#13133194	C₂³	1	4	yes	—
531	#13133194	C₂³	1	4	yes	—
532	#13133194	C₂³	1	2	yes	—
533	#13133194	C₂³	1	4	yes	—
534	#13133194	C₂³	1	2	yes	—
535	#13133194	C₂³	1	4	yes	complemented
536	#13133194	C₂³	1	4	yes	complemented
537	#13133194	C₂³	1	4	yes	complemented
538	#13133194	C₂³	1	4	yes	complemented
539	#13133193	C₂³	1	2	yes	—
540	#13133193	C₂³	1	4	yes	—
541	#13133193	C₂³	1	2	yes	—
542	#13133193	C₂³	1	1	yes	characteristic
543	#13133193	C₂³	1	1	yes	characteristic
544	#13133193	C₂³	1	4	yes	—
545	#13133193	C₂³	1	2	yes	—
546	#13133193	C₂³	1	2	yes	—
547	#13133193	C₂³	1	2	yes	complemented
548	#13133193	C₂³	1	4	yes	complemented
549	#13133193	C₂³	1	4	yes	complemented
550	#13133193	C₂³	1	2	yes	complemented
551	#13133193	C₂³	1	2	yes	complemented
552	#13133193	C₂³	1	4	yes	complemented
553	#13133192	C₂³	1	4	yes	—
554	#13133192	C₂³	1	4	yes	—
555	#13133192	C₂³	1	4	yes	—
556	#13133192	C₂³	1	1	yes	characteristic
557	#13133192	C₂³	1	1	yes	characteristic
558	#13133192	C₂³	1	1	yes	characteristic
559	#13133192	C₂³	1	1	yes	characteristic
560	#13133192	C₂³	1	1	yes	characteristic
561	#13133192	C₂³	1	4	yes	—
562	#13133192	C₂³	1	1	yes	characteristic
563	#13133192	C₂³	1	4	yes	—
564	#13133192	C₂³	1	2	yes	—
565	#13133192	C₂³	1	2	yes	—
566	#13133192	C₂³	1	1	yes	characteristic
567	#13133192	C₂³	1	1	yes	characteristic
568	#13133192	C₂³	1	2	yes	—
569	#13133192	C₂³	1	2	yes	—
570	#13133192	C₂³	1	1	yes	characteristic
571	#13133192	C₂³	1	1	yes	characteristic
572	#13133192	C₂³	1	4	yes	complemented
573	#13133192	C₂³	1	2	yes	complemented
574	#13133192	C₂³	1	2	yes	complemented
575	#13133191	C₂³	1	4	yes	—
576	#13133191	C₂³	1	4	yes	—
577	#13133191	C₂³	1	1	yes	characteristic
578	#13133191	C₂³	1	1	yes	characteristic
579	#13133191	C₂³	1	4	yes	complemented
580	#13133191	C₂³	1	2	yes	complemented
581	#13133190	C₂³	1	4	yes	—
582	#13133190	C₂³	1	4	yes	—
583	#13133190	C₂³	1	4	yes	—
584	#13133190	C₂³	1	4	yes	—
585	#13133190	C₂³	1	4	yes	—
586	#13133190	C₂³	1	2	yes	—
587	#13133190	C₂³	1	4	yes	—
588	#13133190	C₂³	1	2	yes	—
589	#13133190	C₂³	1	4	yes	complemented
590	#13133190	C₂³	1	4	yes	complemented
591	#13133189	C₂³	1	4	yes	—
592	#13133189	C₂³	1	4	yes	—
593	#13133189	C₂³	1	2	yes	—
594	#13133189	C₂³	1	2	yes	—
595	#13133188	C₂³	1	4	yes	—
596	#13133188	C₂³	1	1	yes	characteristic
597	#13133188	C₂³	1	1	yes	characteristic
598	#13133188	C₂³	1	2	yes	complemented
599	#13133187	C₂³	1	2	yes	—
600	#13133187	C₂³	1	4	yes	—
601	#13133187	C₂³	1	4	yes	—
602	#13133187	C₂³	1	2	yes	—
603	#13133187	C₂³	1	2	yes	—
604	#13133187	C₂³	1	2	yes	—
605	#13133187	C₂³	1	4	yes	—
606	#13133187	C₂³	1	2	yes	—
607	#13133187	C₂³	1	2	yes	—
608	#13133187	C₂³	1	2	yes	—
609	#13133187	C₂³	1	2	yes	—
610	#13133187	C₂³	1	2	yes	—
611	#13133187	C₂³	1	2	yes	—
612	#13133187	C₂³	1	2	yes	—
613	#13133186	C₂³	1	2	yes	—
614	#13133185	C₂³	1	2	yes	—
615	#13133185	C₂³	1	4	yes	—
616	#13133185	C₂³	1	2	yes	—
617	#13133185	C₂³	1	2	yes	—
618	Q₈×Dic₅₃	C₂³	1	4	yes	complemented
619	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
620	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
621	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
622	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
623	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
624	C₄×Dic₁₀₆	C₂³	1	4	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	2	yes	—
630	C₄×D₂₁₂	C₂³	1	4	yes	—
631	C₄×D₂₁₂	C₂³	1	4	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	2	yes	—
636	C₄×D₂₁₂	C₂³	1	2	yes	—
637	C₄×D₂₁₂	C₂³	1	2	yes	—
638	C₄×D₂₁₂	C₂³	1	2	yes	—
639	C₄×D₂₁₂	C₂³	1	2	yes	—
640	C₄×D₂₁₂	C₂³	1	4	yes	—
641	C₄×D₂₁₂	C₂³	1	2	yes	—
642	C₄×D₂₁₂	C₂³	1	4	yes	—
643	C₄×D₂₁₂	C₂³	1	2	yes	—
644	C₄×D₂₁₂	C₂³	1	2	yes	—
645	C₄×D₂₁₂	C₂³	1	2	yes	—
646	C₄×D₂₁₂	C₂³	1	2	yes	—
647	C₄×D₂₁₂	C₂³	1	4	yes	—
648	C₄×D₂₁₂	C₂³	1	2	yes	—
649	C₄×D₂₁₂	C₂³	1	2	yes	—
650	C₄×D₂₁₂	C₂³	1	2	yes	—
651	C₄×D₂₁₂	C₂³	1	2	yes	—
652	C₄×D₂₁₂	C₂³	1	2	yes	—
653	C₄×D₂₁₂	C₂³	1	2	yes	complemented
654	C₄×D₂₁₂	C₂³	1	2	yes	complemented
655	C₄×D₂₁₂	C₂³	1	4	yes	complemented
656	D₄×Dic₅₃	C₂³	1	4	yes	—
657	D₄×Dic₅₃	C₂³	1	2	yes	—
658	D₄×Dic₅₃	C₂³	1	2	yes	—
659	#13133179	C₂³	1	4	yes	—
660	#13133179	C₂³	1	4	yes	—
661	#13133179	C₂³	1	4	yes	—
662	#13133179	C₂³	1	4	yes	—
663	#13133179	C₂³	1	4	yes	—
664	#13133179	C₂³	1	4	yes	—
665	#13133179	C₂³	1	2	yes	—
666	#13133179	C₂³	1	2	yes	—
667	#13133179	C₂³	1	2	yes	complemented
668	#13133179	C₂³	1	4	yes	complemented
669	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
670	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
671	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
672	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
673	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
674	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
675	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
676	#13133177	C₂³	1	4	yes	—
677	#13133177	C₂³	1	4	yes	—
678	#13133177	C₂³	1	4	yes	—
679	#13133177	C₂³	1	4	yes	—
680	#13133177	C₂³	1	4	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	4	yes	complemented
686	#13133177	C₂³	1	4	yes	complemented
687	#13133176	C₂³	1	4	yes	—
688	#13133176	C₂³	1	1	yes	characteristic
689	#13133175	C₂³	1	4	yes	—
690	#13133175	C₂³	1	4	yes	—
691	#13133175	C₂³	1	1	yes	characteristic
692	#13133175	C₂³	1	1	yes	characteristic
693	#13133175	C₂³	1	4	yes	complemented
694	#13133175	C₂³	1	2	yes	complemented
695	#13133175	C₂³	1	2	yes	complemented
696	#13133175	C₂³	1	2	yes	complemented
697	#13133174	C₂³	1	4	yes	—
698	#13133174	C₂³	1	4	yes	—
699	#13133174	C₂³	1	2	yes	—
700	#13133174	C₂³	1	4	yes	complemented
701	#13133174	C₂³	1	4	yes	complemented
702	#13133173	C₂³	1	4	yes	—
703	#13133173	C₂³	1	2	yes	—
704	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
705	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
706	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
707	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
708	C₂×C₄⋊Dic₅₃	C₂³	1	4	yes	complemented
709	C₂×#11719919	C₂³	1	2	yes	—
710	C₂×#11719919	C₂³	1	2	yes	—
711	C₂×#11719919	C₂³	1	2	yes	—
712	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
713	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
714	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
715	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
716	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
717	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
718	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
719	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
720	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
721	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
722	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
723	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
724	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
725	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
726	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
727	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
728	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
729	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
730	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
731	C₂×#11719921	C₂³	1	2	yes	—
732	C₂×#11719921	C₂³	1	4	yes	—
733	C₂×#11719921	C₂³	1	2	yes	—
734	C₂×#11719921	C₂³	1	2	yes	—
735	C₂×#11719921	C₂³	1	2	yes	—
736	C₂×#11719921	C₂³	1	2	yes	—
737	C₂×#11719921	C₂³	1	2	yes	—
738	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
739	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
740	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
741	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
742	C₂²⋊C₄×D₅₃	C₂³	1	4	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	—
747	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
748	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
749	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
750	C₄²×D₅₃	C₂³	1	2	yes	—
751	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
752	C₂²×Q₈×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	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
757	#126×C₅₃	C₂³	1	4	yes	—
758	#126×C₅₃	C₂³	1	4	yes	—
759	#126×C₅₃	C₂³	1	4	yes	complemented
760	#126×C₅₃	C₂³	1	4	yes	complemented
761	#125×C₅₃	C₂³	1	2	yes	complemented
762	#125×C₅₃	C₂³	1	2	yes	complemented
763	#125×C₅₃	C₂³	1	4	yes	complemented
764	#125×C₅₃	C₂³	1	4	yes	complemented
765	#125×C₅₃	C₂³	1	4	yes	complemented
766	#124×C₅₃	C₂³	1	4	yes	—
767	#124×C₅₃	C₂³	1	2	yes	complemented
768	#123×C₅₃	C₂³	1	4	yes	—
769	#123×C₅₃	C₂³	1	4	yes	—
770	#123×C₅₃	C₂³	1	2	yes	—
771	#123×C₅₃	C₂³	1	4	yes	—
772	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
773	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
774	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
775	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
776	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
777	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
778	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
779	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
780	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
781	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
782	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
783	#121×C₅₃	C₂³	1	1	yes	characteristic
784	#121×C₅₃	C₂³	1	1	yes	characteristic
785	#120×C₅₃	C₂³	1	2	yes	—
786	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
787	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
788	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
789	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
790	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
791	C₄×Q₈×C₅₃	C₂³	1	4	yes	complemented
792	C₄×D₄×C₅₃	C₂³	1	4	yes	—
793	C₄×D₄×C₅₃	C₂³	1	2	yes	—
794	C₄×D₄×C₅₃	C₂³	1	4	yes	—
795	C₄×D₄×C₅₃	C₂³	1	2	yes	—
796	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
797	#117×C₅₃	C₂³	1	1	yes	characteristic
798	#117×C₅₃	C₂³	1	2	yes	—
799	#117×C₅₃	C₂³	1	1	yes	characteristic
800	#117×C₅₃	C₂³	1	1	yes	characteristic
801	#117×C₅₃	C₂³	1	2	yes	—
802	#117×C₅₃	C₂³	1	1	yes	characteristic
803	#117×C₅₃	C₂³	1	4	yes	—
804	#117×C₅₃	C₂³	1	4	yes	—
805	#117×C₅₃	C₂³	1	1	yes	characteristic
806	#117×C₅₃	C₂³	1	4	yes	complemented
807	#117×C₅₃	C₂³	1	2	yes	complemented
808	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
809	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
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	—	2	4	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	1	yes	characteristic
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	#41×C₅₃	—	2	4	no	—
829	C₂×Q₈×C₅₃	—	2	4	no	—
830	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
831	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
832	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
833	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
834	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
835	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
836	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
837	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
838	C₂²×C₄×C₅₃	—	2	4	no	—
839	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
840	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
841	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
842	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
843	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
844	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
845	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
846	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
847	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
848	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
849	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
850	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
851	C₂×C₂²⋊D₅₃	—	4	4	no	—
852	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
853	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
854	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
855	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
856	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
857	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
858	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
859	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
860	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
861	C₂×C₂²⋊D₅₃	C₂⁴	1	4	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	C₂²×Dic₅₃	—	4	2	no	—
866	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
867	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
868	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
869	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
870	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
871	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
872	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
873	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
874	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
875	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
876	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
877	#11719949	—	4	8	no	—
878	#11719949	—	4	2	no	—
879	#11719949	—	4	4	no	—
880	#11719949	—	4	4	no	—
881	Q₈×D₅₃	—	4	4	no	—
882	Q₈×D₅₃	—	4	4	no	—
883	Q₈×D₅₃	—	4	4	no	—
884	Q₈×D₅₃	—	4	4	no	—
885	Q₈×D₅₃	—	4	2	no	—
886	Q₈×D₅₃	—	4	4	no	—
887	Q₈×D₅₃	—	4	4	no	—
888	Q₈×D₅₃	—	4	4	no	—
889	#11719947	—	4	2	no	—
890	#11719947	—	4	4	no	—
891	#11719947	—	4	4	no	—
892	#11719947	—	4	8	no	—
893	D₄×D₅₃	—	2	8	no	—
894	D₄×D₅₃	—	4	2	no	—
895	D₄×D₅₃	—	4	4	no	—
896	D₄×D₅₃	—	4	4	no	—
897	#11719945	—	2	4	no	—
898	#11719945	—	2	4	no	—
899	#11719945	—	2	4	no	—
900	#11719945	—	4	2	no	—
901	#11719945	—	4	2	no	—
902	#11719945	—	4	4	no	—
903	#11719945	—	4	4	no	—
904	#11719945	—	4	4	no	—
905	#11719945	—	4	8	no	—
906	#11719945	—	4	4	no	—
907	#11719945	—	4	8	no	—
908	C₂×D₂₁₂	—	2	8	no	—
909	C₂×D₂₁₂	—	4	2	no	—
910	C₂×D₂₁₂	—	4	4	no	—
911	C₂×D₂₁₂	C₂⁴	1	2	yes	—
912	C₂×D₂₁₂	C₂⁴	1	2	yes	—
913	C₂×D₂₁₂	C₂⁴	1	2	yes	—
914	C₂×D₂₁₂	C₂⁴	1	2	yes	—
915	C₂×D₂₁₂	C₂⁴	1	2	yes	—
916	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
917	C₂×D₂₁₂	C₂⁴	1	2	yes	—
918	C₂×D₂₁₂	C₂⁴	1	2	yes	—
919	C₂×D₂₁₂	C₂⁴	1	2	yes	—
920	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
921	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
922	C₂×D₂₁₂	C₂⁴	1	4	yes	—
923	C₂×D₂₁₂	C₂⁴	1	2	yes	—
924	C₂×D₂₁₂	C₂⁴	1	2	yes	—
925	C₂×D₂₁₂	C₂⁴	1	4	yes	—
926	C₂×D₂₁₂	C₂⁴	1	2	yes	—
927	C₂×D₂₁₂	C₂⁴	1	2	yes	—
928	C₂×C₄×D₅₃	—	2	4	no	—
929	C₂×C₄×D₅₃	—	2	4	no	—
930	C₂×C₄×D₅₃	—	4	2	no	—
931	C₂×C₄×D₅₃	—	4	2	no	—
932	C₂×C₄×D₅₃	—	4	2	no	—
933	C₂×C₄×D₅₃	—	4	2	no	—
934	C₂×C₄×D₅₃	—	4	2	no	—
935	C₂×C₄×D₅₃	—	4	2	no	—
936	C₂×C₄×D₅₃	—	4	2	no	—
937	C₂×C₄×D₅₃	—	4	2	no	—
938	C₂×C₄×D₅₃	—	4	4	no	—
939	C₂×C₄×D₅₃	—	4	4	no	—
940	C₂×C₄×D₅₃	—	4	4	no	—
941	C₂×C₄×D₅₃	—	4	2	no	—
942	C₂×C₄×D₅₃	—	4	2	no	—
943	C₂×C₄×D₅₃	—	4	4	no	—
944	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
945	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
946	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
947	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
948	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
949	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
950	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
951	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
952	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
953	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
954	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
955	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
956	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
957	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
958	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
959	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
960	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
961	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
962	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
963	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
964	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
965	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
966	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
967	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
968	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
969	C₂×C₄×D₅₃	C₂⁴	1	4	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	2	yes	—
977	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
978	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
979	C₂×Dic₁₀₆	—	2	4	no	—
980	C₂×Dic₁₀₆	—	4	2	no	—
981	C₂×Dic₁₀₆	—	4	4	no	—
982	C₂×Dic₁₀₆	—	4	4	no	—
983	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
984	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
985	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
986	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
987	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
988	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
989	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
990	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
991	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
992	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
993	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
994	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
995	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
996	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
997	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
998	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
999	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1000	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1001	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1002	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1003	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1004	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1005	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1006	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1007	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1008	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1009	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1010	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1011	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1012	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1013	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1014	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1015	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1016	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1017	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1018	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1019	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1020	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1021	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1022	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1023	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1024	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1025	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1026	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1027	C₂²⋊C₄×C₅₃	C₂⁴	1	4	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	C₄²×C₅₃	C₂⁴	1	2	yes	—
1032	C₄²×C₅₃	C₂⁴	1	2	yes	—
1033	C₄²×C₅₃	C₂⁴	1	2	yes	—
1034	C₄²×C₅₃	C₂⁴	1	2	yes	—
1035	C₄²×C₅₃	C₂⁴	1	4	yes	—
1036	C₄²×C₅₃	C₂⁴	1	4	yes	—
1037	C₄²×C₅₃	C₂⁴	1	4	yes	—
1038	C₄²×C₅₃	C₂⁴	1	2	yes	—
1039	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1040	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1041	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1042	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1043	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1044	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1045	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1046	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1047	#11719921	C₂⁴	1	4	yes	—
1048	#11719921	C₂⁴	1	4	yes	—
1049	#11719921	C₂⁴	1	2	yes	—
1050	#11719921	C₂⁴	1	4	yes	—
1051	#11719921	C₂⁴	1	4	yes	—
1052	#11719921	C₂⁴	1	2	yes	—
1053	#11719921	C₂⁴	1	2	yes	—
1054	#11719921	C₂⁴	1	2	yes	—
1055	#11719921	C₂⁴	1	2	yes	—
1056	#11719921	C₂⁴	1	2	yes	—
1057	#11719921	C₂⁴	1	2	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	4	yes	—
1064	#11719921	C₂⁴	1	4	yes	—
1065	#11719921	C₂⁴	1	4	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	4	yes	—
1073	#11719921	C₂⁴	1	2	yes	—
1074	#11719921	C₂⁴	1	4	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	2	yes	—
1080	#11719921	C₂⁴	1	2	yes	—
1081	#11719921	C₂⁴	1	2	yes	—
1082	#11719921	C₂⁴	1	2	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	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1090	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1091	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1092	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1093	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1094	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1095	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1096	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1097	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1098	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1099	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1100	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1101	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1102	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
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	2	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	#11719919	C₂⁴	1	4	yes	—
1112	#11719919	C₂⁴	1	4	yes	—
1113	#11719919	C₂⁴	1	4	yes	—
1114	#11719919	C₂⁴	1	4	yes	—
1115	#11719919	C₂⁴	1	4	yes	—
1116	#11719919	C₂⁴	1	4	yes	—
1117	#11719919	C₂⁴	1	2	yes	—
1118	#11719919	C₂⁴	1	2	yes	—
1119	#11719919	C₂⁴	1	2	yes	—
1120	#11719919	C₂⁴	1	2	yes	—
1121	#11719919	C₂⁴	1	2	yes	—
1122	#11719919	C₂⁴	1	2	yes	—
1123	#11719919	C₂⁴	1	4	yes	—
1124	#11719919	C₂⁴	1	4	yes	—
1125	#11719919	C₂⁴	1	4	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	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1134	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1135	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1136	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1137	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1138	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1139	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1140	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1141	C₂³×C₅₃	—	2	2	no	—
1142	C₂³×C₅₃	—	2	2	no	—
1143	C₂³×C₅₃	—	4	1	no	—
1144	C₂³×C₅₃	C₂⁵	1	2	yes	—
1145	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1146	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1147	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1148	C₂²×D₅₃	—	2	2	no	—
1149	C₂²×D₅₃	—	2	2	no	—
1150	C₂²×D₅₃	—	2	2	no	—
1151	C₂²×D₅₃	—	2	2	no	—
1152	C₂²×D₅₃	—	2	2	no	—
1153	C₂²×D₅₃	—	2	4	no	—
1154	C₂²×D₅₃	—	2	2	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	4	no	—
1160	C₂²×D₅₃	—	4	1	no	—
1161	C₂²×D₅₃	—	4	1	no	—
1162	C₂²×D₅₃	—	4	1	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	2	no	—
1168	C₂²×D₅₃	—	4	2	no	—
1169	C₂²×D₅₃	—	4	2	no	—
1170	C₂²×D₅₃	—	4	2	no	—
1171	C₂²×D₅₃	—	4	16	no	—
1172	C₂²×D₅₃	2₋¹⁺⁴	1	4	yes	complemented
1173	C₂²×D₅₃	C₂⁵	1	2	yes	—
1174	C₂²×D₅₃	C₂⁵	1	2	yes	—
1175	C₂²×D₅₃	C₂⁵	1	2	yes	—
1176	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1177	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1178	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1179	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1180	Q₈×C₅₃	—	2	4	no	—
1181	Q₈×C₅₃	—	2	4	no	—
1182	Q₈×C₅₃	—	2	2	no	—
1183	Q₈×C₅₃	—	4	4	no	—
1184	D₄×C₅₃	—	2	4	no	—
1185	D₄×C₅₃	—	2	4	no	—
1186	D₄×C₅₃	—	2	2	no	—
1187	D₄×C₅₃	—	4	2	no	—
1188	C₂×C₄×C₅₃	—	2	4	no	—
1189	C₂×C₄×C₅₃	—	2	2	no	—
1190	C₂×C₄×C₅₃	—	2	4	no	—
1191	C₂×C₄×C₅₃	—	2	2	no	—
1192	C₂×C₄×C₅₃	—	2	4	no	—
1193	C₂×C₄×C₅₃	—	2	2	no	—
1194	C₂×C₄×C₅₃	—	2	2	no	—
1195	C₂×C₄×C₅₃	—	2	2	no	—
1196	C₂×C₄×C₅₃	—	4	2	no	—
1197	C₂×C₄×C₅₃	—	4	2	no	—
1198	C₂×C₄×C₅₃	—	4	4	no	—
1199	C₂×C₄×C₅₃	H(5,𝔽₂)	1	4	yes	—
1200	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1201	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1202	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1203	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1204	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1205	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1206	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1207	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1208	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1209	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1210	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1211	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1212	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1213	C₂²⋊D₅₃	—	2	4	no	—
1214	C₂²⋊D₅₃	—	2	4	no	—
1215	C₂²⋊D₅₃	—	2	4	no	—
1216	C₂²⋊D₅₃	—	2	4	no	—
1217	C₂²⋊D₅₃	—	2	4	no	—
1218	C₂²⋊D₅₃	—	2	4	no	—
1219	C₂²⋊D₅₃	—	4	2	no	—
1220	C₂²⋊D₅₃	—	4	2	no	—
1221	C₂²⋊D₅₃	—	4	2	no	—
1222	C₂²⋊D₅₃	—	4	2	no	—
1223	C₂²⋊D₅₃	—	4	4	no	—
1224	C₂²⋊D₅₃	—	4	4	no	—
1225	C₂²⋊D₅₃	—	4	2	no	—
1226	C₂×Dic₅₃	—	2	4	no	—
1227	C₂×Dic₅₃	—	2	2	no	—
1228	C₂×Dic₅₃	—	2	2	no	—
1229	C₂×Dic₅₃	—	4	2	no	—
1230	C₂×Dic₅₃	—	4	4	no	—
1231	C₂×Dic₅₃	—	4	1	no	—
1232	C₂×Dic₅₃	—	4	1	no	—
1233	C₂×Dic₅₃	—	4	1	no	—
1234	C₂×Dic₅₃	—	4	1	no	—
1235	C₂×Dic₅₃	—	4	2	no	—
1236	C₂×Dic₅₃	—	4	2	no	—
1237	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1238	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1239	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1240	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1241	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1242	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1243	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1244	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1245	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1246	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1247	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1248	D₂₁₂	—	2	4	no	—
1249	D₂₁₂	—	2	4	no	—
1250	D₂₁₂	—	2	4	no	—
1251	D₂₁₂	—	2	4	no	—
1252	D₂₁₂	—	2	4	no	—
1253	D₂₁₂	—	2	4	no	—
1254	D₂₁₂	—	2	4	no	—
1255	D₂₁₂	—	2	4	no	—
1256	D₂₁₂	—	2	2	no	—
1257	D₂₁₂	—	2	2	no	—
1258	D₂₁₂	—	2	2	no	—
1259	D₂₁₂	—	4	2	no	—
1260	D₂₁₂	—	4	2	no	—
1261	D₂₁₂	—	4	2	no	—
1262	D₂₁₂	—	4	2	no	—
1263	D₂₁₂	—	4	4	no	—
1264	D₂₁₂	—	4	4	no	—
1265	C₄×D₅₃	—	2	4	no	—
1266	C₄×D₅₃	—	2	8	no	—
1267	C₄×D₅₃	—	2	2	no	—
1268	C₄×D₅₃	—	2	2	no	—
1269	C₄×D₅₃	—	2	2	no	—
1270	C₄×D₅₃	—	2	2	no	—
1271	C₄×D₅₃	—	2	2	no	—
1272	C₄×D₅₃	—	2	2	no	—
1273	C₄×D₅₃	—	2	2	no	—
1274	C₄×D₅₃	—	2	2	no	—
1275	C₄×D₅₃	—	2	4	no	—
1276	C₄×D₅₃	—	2	4	no	—
1277	C₄×D₅₃	—	2	4	no	—
1278	C₄×D₅₃	—	4	1	no	—
1279	C₄×D₅₃	—	4	1	no	—
1280	C₄×D₅₃	—	4	1	no	—
1281	C₄×D₅₃	—	4	1	no	—
1282	C₄×D₅₃	—	4	1	no	—
1283	C₄×D₅₃	—	4	1	no	—
1284	C₄×D₅₃	—	4	1	no	—
1285	C₄×D₅₃	—	4	1	no	—
1286	C₄×D₅₃	—	4	4	no	—
1287	C₄×D₅₃	—	4	2	no	—
1288	C₄×D₅₃	—	4	2	no	—
1289	C₄×D₅₃	—	4	2	no	—
1290	C₄×D₅₃	—	4	2	no	—
1291	C₄×D₅₃	—	4	4	no	—
1292	C₄×D₅₃	—	4	4	no	—
1293	C₄×D₅₃	—	4	4	no	—
1294	C₄×D₅₃	—	4	4	no	—
1295	C₄×D₅₃	—	4	4	no	—
1296	C₄×D₅₃	—	4	4	no	—
1297	C₄×D₅₃	—	4	2	no	—
1298	C₄×D₅₃	—	4	4	no	—
1299	C₄×D₅₃	—	4	4	no	—
1300	Dic₁₀₆	—	2	4	no	—
1301	Dic₁₀₆	—	2	4	no	—
1302	Dic₁₀₆	—	2	2	no	—
1303	Dic₁₀₆	—	2	2	no	—
1304	Dic₁₀₆	—	2	2	no	—
1305	Dic₁₀₆	—	4	2	no	—
1306	Dic₁₀₆	—	4	4	no	—
1307	Dic₁₀₆	—	4	4	no	—
1308	Dic₁₀₆	—	4	4	no	—
1309	Dic₁₀₆	—	4	4	no	—
1310	Dic₁₀₆	—	4	2	no	—
1311	Dic₁₀₆	—	4	4	no	—
1312	#62819	—	53	1	no	maximal, Sylow
1313	C₂²×C₅₃	—	2	1	no	—
1314	C₂²×C₅₃	—	2	1	no	—
1315	C₂²×C₅₃	—	2	1	no	—
1316	C₂²×C₅₃	—	2	1	no	—
1317	C₂²×C₅₃	—	2	2	no	—
1318	C₂²×C₅₃	—	2	1	no	—
1319	C₂²×C₅₃	—	2	2	no	—
1320	C₂²×C₅₃	—	2	1	no	—
1321	C₂²×C₅₃	—	2	2	no	—
1322	C₂²×C₅₃	—	2	1	no	—
1323	C₂²×C₅₃	—	4	4	no	—
1324	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1325	C₂²×C₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
1326	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1327	C₂×D₅₃	—	2	8	no	—
1328	C₂×D₅₃	—	2	1	no	—
1329	C₂×D₅₃	—	2	1	no	—
1330	C₂×D₅₃	—	2	1	no	—
1331	C₂×D₅₃	—	2	1	no	—
1332	C₂×D₅₃	—	2	1	no	—
1333	C₂×D₅₃	—	2	1	no	—
1334	C₂×D₅₃	—	2	1	no	—
1335	C₂×D₅₃	—	2	2	no	—
1336	C₂×D₅₃	—	2	2	no	—
1337	C₂×D₅₃	—	2	2	no	—
1338	C₂×D₅₃	—	2	2	no	—
1339	C₂×D₅₃	—	2	2	no	—
1340	C₂×D₅₃	—	2	2	no	—
1341	C₂×D₅₃	—	2	1	no	—
1342	C₂×D₅₃	—	2	2	no	—
1343	C₂×D₅₃	—	2	2	no	—
1344	C₂×D₅₃	—	2	2	no	—
1345	C₂×D₅₃	—	2	1	no	—
1346	C₂×D₅₃	—	4	4	no	—
1347	C₂×D₅₃	—	4	4	no	—
1348	C₂×D₅₃	—	4	4	no	—
1349	C₂×D₅₃	—	4	4	no	—
1350	C₂×D₅₃	—	4	4	no	—
1351	C₂×D₅₃	—	8	4	no	—
1352	C₂×D₅₃	—	8	4	no	—
1353	C₂×D₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
1354	C₂×D₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
1355	C₂×D₅₃	#585	1	2	yes	—
1356	C₄×C₅₃	—	2	2	no	—
1357	C₄×C₅₃	—	2	4	no	—
1358	C₄×C₅₃	—	2	1	no	—
1359	C₄×C₅₃	—	2	1	no	—
1360	C₄×C₅₃	—	2	2	no	—
1361	C₄×C₅₃	—	2	2	no	—
1362	C₄×C₅₃	—	2	2	no	—
1363	C₄×C₅₃	—	2	2	no	—
1364	C₄×C₅₃	—	2	4	no	—
1365	C₄×C₅₃	—	2	2	no	—
1366	C₄×C₅₃	—	2	2	no	—
1367	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1368	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1369	Dic₅₃	—	2	4	no	—
1370	Dic₅₃	—	2	2	no	—
1371	Dic₅₃	—	2	2	no	—
1372	Dic₅₃	—	2	2	no	—
1373	Dic₅₃	—	2	1	no	—
1374	Dic₅₃	—	2	1	no	—
1375	Dic₅₃	—	2	1	no	—
1376	Dic₅₃	—	2	1	no	—
1377	Dic₅₃	—	2	2	no	—
1378	Dic₅₃	—	2	2	no	—
1379	Dic₅₃	—	2	4	no	—
1380	#3541	—	53	2	no	—
1381	#3541	—	53	2	no	—
1382	#3541	—	53	2	no	—
1383	#3541	—	53	2	no	—
1384	#3538	—	53	2	no	—
1385	#3538	—	53	2	no	—
1386	#3536	—	53	2	no	—
1387	#3536	—	53	2	no	—
1388	#3535	—	53	4	no	—
1389	#3535	—	53	4	no	—
1390	#3520	—	53	2	no	—
1391	#3520	—	53	2	no	—
1392	#3520	—	53	2	no	—
1393	#3520	—	53	2	no	—
1394	#3505	—	53	2	no	—
1395	#3505	—	53	2	no	—
1396	#3501	—	53	2	no	—
1397	#3501	—	53	2	no	—
1398	#3495	—	53	1	no	—
1399	#3495	—	53	1	no	—
1400	#3495	—	53	1	no	—
1401	#3495	D₅₃	1	1	yes	characteristic, complemented
1402	#3492	—	53	4	no	—
1403	#3492	—	53	1	no	—
1404	#3492	—	53	1	no	—
1405	#3490	—	53	4	no	—
1406	#3489	—	53	1	no	—
1407	#3489	—	53	1	no	—
1408	#3489	—	53	1	no	—
1409	#3489	—	53	1	no	—
1410	#3486	—	53	1	no	—
1411	#3486	—	53	1	no	—
1412	C₂×#525	—	53	1	no	—
1413	C₂×#525	—	53	1	no	—
1414	C₂²×C₂²⋊Q₈	—	53	1	no	—
1415	C₂×C₅₃	—	2	2	no	—
1416	C₂×C₅₃	—	2	2	no	—
1417	C₂×C₅₃	—	4	1	no	—
1418	C₂×C₅₃	—	4	2	no	—
1419	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1420	C₂×C₅₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1421	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1422	D₅₃	—	2	2	no	—
1423	D₅₃	—	2	2	no	—
1424	D₅₃	—	2	2	no	—
1425	D₅₃	—	4	1	no	—
1426	D₅₃	—	4	2	no	—
1427	D₅₃	—	4	2	no	—
1428	D₅₃	—	4	2	no	—
1429	C₂×2₋¹⁺⁴	—	53	1	no	—
1430	C₂×2₋¹⁺⁴	—	53	1	no	—
1431	C₂²×#41	—	53	1	no	—
1432	C₂²×#41	—	53	1	no	—
1433	C₂³×Q₈	—	53	1	no	—
1434	C₂⁴×C₄	—	53	1	no	—
1435	#563	—	53	4	no	—
1436	#563	—	53	4	no	—
1437	#563	—	53	4	no	—
1438	#563	—	53	4	no	—
1439	#562	—	53	4	no	—
1440	#562	—	53	4	no	—
1441	#562	—	53	4	no	—
1442	#562	—	53	4	no	—
1443	#556	—	53	2	no	—
1444	#556	—	53	2	no	—
1445	#556	—	53	2	no	—
1446	#556	C₂×D₅₃	1	2	yes	complemented
1447	#554	—	53	2	no	—
1448	#554	—	53	2	no	—
1449	#554	—	53	2	no	—
1450	#554	—	53	4	no	—
1451	#554	—	53	4	no	—
1452	#554	—	53	4	no	—
1453	#554	—	53	4	no	—
1454	#554	—	53	4	no	—
1455	#554	—	53	2	no	—
1456	#554	—	53	4	no	—
1457	#554	—	53	2	no	—
1458	#554	—	53	4	no	—
1459	#554	—	53	4	no	—
1460	#554	—	53	2	no	—
1461	#554	—	53	2	no	—
1462	#554	C₂×D₅₃	1	2	yes	complemented
1463	#553	—	53	4	no	—
1464	#553	—	53	4	no	—
1465	#553	—	53	2	no	—
1466	#553	—	53	2	no	—
1467	#553	—	53	4	no	—
1468	#553	—	53	2	no	—
1469	#553	—	53	4	no	—
1470	#553	—	53	2	no	—
1471	#552	—	53	2	no	—
1472	#552	—	53	2	no	—
1473	#552	—	53	2	no	—
1474	#552	—	53	2	no	—
1475	#552	—	53	4	no	—
1476	#552	—	53	2	no	—
1477	#552	—	53	2	no	—
1478	#552	—	53	2	no	—
1479	#552	—	53	4	no	—
1480	#552	—	53	4	no	—
1481	#552	—	53	2	no	—
1482	#552	—	53	2	no	—
1483	#552	—	53	2	no	—
1484	#552	C₂×D₅₃	1	4	yes	complemented
1485	#552	C₂×D₅₃	1	2	yes	complemented
1486	#552	C₂×D₅₃	1	2	yes	complemented
1487	#551	—	53	4	no	—
1488	#551	—	53	4	no	—
1489	#551	—	53	4	no	—
1490	#551	—	53	4	no	—
1491	#551	—	53	4	no	—
1492	#551	—	53	4	no	—
1493	#551	—	53	4	no	—
1494	#551	—	53	4	no	—
1495	#551	—	53	4	no	—
1496	#551	—	53	4	no	—
1497	#551	—	53	4	no	—
1498	#551	C₂×D₅₃	1	4	yes	complemented
1499	D₄×Q₈	—	53	2	no	—
1500	D₄×Q₈	—	53	2	no	—
1501	D₄×Q₈	—	53	2	no	—
1502	D₄×Q₈	—	53	2	no	—
1503	D₄×Q₈	—	53	2	no	—
1504	D₄×Q₈	—	53	2	no	—
1505	D₄×Q₈	—	53	2	no	—
1506	D₄×Q₈	—	53	2	no	—
1507	D₄×Q₈	—	53	2	no	—
1508	D₄×Q₈	—	53	2	no	—
1509	D₄×Q₈	—	53	2	no	—
1510	D₄×Q₈	—	53	2	no	—
1511	#548	—	53	2	no	—
1512	#548	—	53	2	no	—
1513	#548	—	53	2	no	—
1514	#548	—	53	2	no	—
1515	#548	—	53	2	no	—
1516	#548	—	53	2	no	—
1517	#548	—	53	2	no	—
1518	#548	—	53	2	no	—
1519	#548	—	53	2	no	—
1520	#548	—	53	2	no	—
1521	#548	—	53	2	no	—
1522	#548	—	53	2	no	—
1523	#547	—	53	2	no	—
1524	#547	—	53	2	no	—
1525	#547	—	53	2	no	—
1526	#547	—	53	4	no	—
1527	#547	—	53	4	no	—
1528	#547	—	53	2	no	—
1529	#547	—	53	4	no	—
1530	#547	—	53	2	no	—
1531	#547	—	53	2	no	—
1532	#547	—	53	2	no	—
1533	#547	—	53	4	no	—
1534	#547	—	53	2	no	—
1535	#546	—	53	4	no	—
1536	#546	—	53	2	no	—
1537	#546	—	53	4	no	—
1538	#546	—	53	4	no	—
1539	#546	—	53	2	no	—
1540	#546	—	53	4	no	—
1541	#546	—	53	4	no	—
1542	#546	—	53	4	no	—
1543	#546	—	53	2	no	—
1544	#546	—	53	4	no	—
1545	#546	—	53	2	no	—
1546	#546	—	53	4	no	—
1547	#544	—	53	4	no	—
1548	#544	—	53	4	no	—
1549	#544	—	53	1	no	—
1550	#544	—	53	4	no	—
1551	#544	C₂×D₅₃	1	1	yes	characteristic, complemented
1552	#543	—	53	4	no	—
1553	#543	—	53	4	no	—
1554	#543	—	53	4	no	—
1555	#542	—	53	2	no	—
1556	#542	—	53	4	no	—
1557	#542	—	53	4	no	—
1558	#542	—	53	2	no	—
1559	#542	—	53	4	no	—
1560	#542	—	53	2	no	—
1561	#542	—	53	4	no	—
1562	#542	C₂×D₅₃	1	2	yes	complemented
1563	#541	—	53	2	no	—
1564	#541	—	53	2	no	—
1565	#541	—	53	2	no	—
1566	#541	C₂×D₅₃	1	2	yes	complemented
1567	#539	—	53	4	no	—
1568	#539	—	53	4	no	—
1569	#539	—	53	4	no	—
1570	#539	—	53	4	no	—
1571	#539	—	53	4	no	—
1572	#539	—	53	4	no	—
1573	#539	—	53	4	no	—
1574	#539	—	53	4	no	—
1575	#539	—	53	4	no	—
1576	#539	—	53	4	no	—
1577	#539	—	53	4	no	—
1578	#539	—	53	4	no	—
1579	#538	—	53	4	no	—
1580	#538	—	53	4	no	—
1581	#538	—	53	4	no	—
1582	#538	—	53	4	no	—
1583	#538	—	53	4	no	—
1584	#538	—	53	4	no	—
1585	#537	—	53	1	no	—
1586	#537	—	53	2	no	—
1587	#537	—	53	2	no	—
1588	#537	—	53	4	no	—
1589	#537	—	53	2	no	—
1590	#537	—	53	1	no	—
1591	#537	—	53	2	no	—
1592	#536	—	53	1	no	—
1593	#536	—	53	4	no	—
1594	#536	—	53	2	no	—
1595	#536	—	53	2	no	—
1596	#536	—	53	2	no	—
1597	#536	—	53	1	no	—
1598	#536	—	53	1	no	—
1599	#536	—	53	4	no	—
1600	#536	—	53	2	no	—
1601	#536	C₂×D₅₃	1	1	yes	characteristic, complemented
1602	#534	—	53	4	no	—
1603	#533	—	53	2	no	—
1604	#533	—	53	2	no	—
1605	#533	—	53	2	no	—
1606	#533	C₂×D₅₃	1	2	yes	complemented
1607	#529	—	53	2	no	—
1608	#529	—	53	2	no	—
1609	#529	—	53	2	no	—
1610	#529	C₂×D₅₃	1	2	yes	complemented
1611	#525	—	53	1	no	—
1612	#525	—	53	1	no	—
1613	#525	—	53	2	no	—
1614	#525	—	53	4	no	—
1615	#525	—	53	1	no	—
1616	#525	—	53	1	no	—
1617	#525	—	53	2	no	—
1618	#525	—	53	4	no	—
1619	#525	—	53	2	no	—
1620	#525	—	53	1	no	—
1621	#525	—	53	1	no	—
1622	#525	—	53	2	no	—
1623	#525	—	53	2	no	—
1624	#525	—	53	2	no	—
1625	#525	—	53	2	no	—
1626	#525	—	53	4	no	—
1627	#525	—	53	1	no	—
1628	#525	—	53	1	no	—
1629	#525	—	53	1	no	—
1630	#525	—	53	1	no	—
1631	#525	—	53	2	no	—
1632	#525	—	53	2	no	—
1633	#525	—	53	1	no	—
1634	#525	—	53	1	no	—
1635	#525	—	53	1	no	—
1636	#525	—	53	2	no	—
1637	#525	—	53	2	no	—
1638	#525	—	53	1	no	—
1639	#525	—	53	1	no	—
1640	#525	—	53	4	no	—
1641	#525	—	53	2	no	—
1642	#525	C₂×D₅₃	1	1	yes	characteristic
1643	C₂×#123	—	53	2	no	—
1644	C₂×#123	—	53	2	no	—
1645	C₂×C₂²⋊Q₈	—	53	1	no	—
1646	C₂×C₂²⋊Q₈	—	53	1	no	—
1647	C₂×C₂²⋊Q₈	—	53	2	no	—
1648	C₂×C₂²⋊Q₈	—	53	2	no	—
1649	C₂×C₂²⋊Q₈	—	53	2	no	—
1650	C₂×C₂²⋊Q₈	—	53	2	no	—
1651	C₂×C₂²⋊Q₈	—	53	2	no	—
1652	C₂×C₂²⋊Q₈	—	53	2	no	—
1653	C₂×C₂²⋊Q₈	—	53	2	no	—
1654	C₂×C₂²⋊Q₈	—	53	2	no	—
1655	C₂×C₂²⋊Q₈	—	53	1	no	—
1656	C₂×C₂²⋊Q₈	—	53	1	no	—
1657	C₂×C₂²⋊Q₈	—	53	2	no	—
1658	C₂×C₂²⋊Q₈	—	53	2	no	—
1659	C₂×C₂²⋊Q₈	—	53	2	no	—
1660	C₂×C₂²⋊Q₈	—	53	2	no	—
1661	C₂×C₂²⋊Q₈	—	53	1	no	—
1662	C₂×C₂²⋊Q₈	—	53	1	no	—
1663	C₂×C₂²⋊Q₈	—	53	1	no	—
1664	C₂×C₂²⋊Q₈	—	53	2	no	—
1665	C₂×C₂²⋊Q₈	—	53	2	no	—
1666	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1667	C₂×#121	—	53	1	no	—
1668	C₂×#121	—	53	1	no	—
1669	C₂×#121	—	53	1	no	—
1670	C₂×#121	—	53	1	no	—
1671	C₂×#120	—	53	2	no	—
1672	C₂×#120	—	53	2	no	—
1673	#520	—	53	4	no	—
1674	#520	—	53	1	no	—
1675	#520	—	53	1	no	—
1676	#520	—	53	4	no	—
1677	#520	—	53	1	no	—
1678	#520	C₂×D₅₃	1	1	yes	characteristic, complemented
1679	#519	—	53	1	no	—
1680	#519	C₂×D₅₃	1	1	yes	characteristic, complemented
1681	#518	—	53	4	no	—
1682	#518	—	53	4	no	—
1683	C₂×C₄×D₄	—	53	2	no	—
1684	C₂×C₄×D₄	—	53	2	no	—
1685	C₂×C₄×D₄	—	53	2	no	—
1686	C₂×C₄×D₄	—	53	2	no	—
1687	C₂×#117	—	53	1	no	—
1688	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1689	C₂²×C₄⋊C₄	—	53	1	no	—
1690	C₂²×C₄⋊C₄	—	53	2	no	—
1691	C₂²×C₂²⋊C₄	—	53	2	no	—
1692	C₅₃	#62819	1	1	yes	characteristic, complemented, Sylow
1693	C₂⁵	—	53	1	no	—
1694	2₋¹⁺⁴	—	212	4	no	—
1695	2₋¹⁺⁴	—	212	4	no	—
1696	C₂×#41	—	53	4	no	—
1697	C₂×#41	—	53	1	no	—
1698	C₂×#41	—	53	2	no	—
1699	C₂×#41	—	53	2	no	—
1700	C₂×#41	—	53	2	no	—
1701	C₂×#41	—	53	1	no	—
1702	C₂×#41	—	53	4	no	—
1703	C₂×#41	—	53	2	no	—
1704	C₂×#41	—	53	1	no	—
1705	C₂×#41	—	53	1	no	—
1706	C₂×#41	—	53	1	no	—
1707	C₂×#41	—	53	4	no	—
1708	C₂×#41	—	53	2	no	—
1709	C₂×#41	—	53	2	no	—
1710	C₂×#41	—	53	2	no	—
1711	C₂×#41	—	53	1	no	—
1712	C₂×#41	—	53	1	no	—
1713	C₂×#41	—	53	4	no	—
1714	C₂×#41	—	53	2	no	—
1715	C₂×#41	—	212	4	no	—
1716	C₂×#41	—	212	4	no	—
1717	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1718	C₂²×Q₈	—	53	2	no	—
1719	C₂²×Q₈	—	53	2	no	—
1720	C₂²×Q₈	—	53	2	no	—
1721	C₂²×Q₈	—	53	2	no	—
1722	C₂²×Q₈	—	53	1	no	—
1723	C₂²×Q₈	—	53	2	no	—
1724	C₂²×Q₈	—	53	2	no	—
1725	C₂²×Q₈	—	53	2	no	—
1726	C₂²×Q₈	—	53	1	no	—
1727	C₂²×Q₈	—	53	2	no	—
1728	C₂²×Q₈	—	53	1	no	—
1729	C₂²×Q₈	—	53	2	no	—
1730	C₂²×Q₈	—	212	4	no	—
1731	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1732	C₂²×D₄	—	53	2	no	—
1733	C₂²×D₄	—	53	2	no	—
1734	C₂²×D₄	—	53	2	no	—
1735	C₂²×D₄	—	53	2	no	—
1736	C₂²×D₄	—	53	1	no	—
1737	C₂²×D₄	—	53	2	no	—
1738	C₂²×D₄	—	53	2	no	—
1739	C₂²×D₄	—	53	1	no	—
1740	C₂³×C₄	—	53	1	no	—
1741	C₂³×C₄	—	53	1	no	—
1742	C₂³×C₄	—	53	1	no	—
1743	C₂³×C₄	—	53	2	no	—
1744	C₂³×C₄	—	53	2	no	—
1745	C₂³×C₄	—	53	1	no	—
1746	C₂³×C₄	—	53	1	no	—
1747	C₂³×C₄	—	53	1	no	—
1748	C₂³×C₄	—	53	1	no	—
1749	C₂³×C₄	—	53	1	no	—
1750	C₂³×C₄	—	53	2	no	—
1751	C₂³×C₄	—	53	2	no	—
1752	C₂³×C₄	—	53	1	no	—
1753	C₂³×C₄	—	53	1	no	—
1754	C₂³×C₄	—	53	1	no	—
1755	C₂³×C₄	—	53	1	no	—
1756	C₂³×C₄	—	53	1	no	—
1757	C₂³×C₄	—	212	4	no	—
1758	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1759	C₄⋊Q₈	—	53	2	no	—
1760	C₄⋊Q₈	—	53	2	no	—
1761	C₄⋊Q₈	—	53	4	no	—
1762	C₄⋊Q₈	—	53	4	no	—
1763	C₄⋊Q₈	—	53	4	no	—
1764	C₄⋊Q₈	—	53	4	no	—
1765	C₄⋊Q₈	—	53	4	no	—
1766	C₄⋊Q₈	—	53	2	no	—
1767	C₄⋊Q₈	—	53	2	no	—
1768	C₄⋊Q₈	—	53	2	no	—
1769	C₄⋊Q₈	—	53	4	no	—
1770	C₄⋊Q₈	—	53	4	no	—
1771	C₄⋊Q₈	—	53	4	no	—
1772	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1773	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1774	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1775	#126	—	53	4	no	—
1776	#126	—	53	4	no	—
1777	#126	—	53	4	no	—
1778	#126	—	53	4	no	—
1779	#126	—	53	4	no	—
1780	#126	—	53	4	no	—
1781	#126	—	53	4	no	—
1782	#126	—	53	4	no	—
1783	#126	—	53	4	no	—
1784	#126	—	53	4	no	—
1785	#126	—	53	4	no	—
1786	#126	—	53	4	no	—
1787	#126	—	53	4	no	—
1788	#126	—	53	4	no	—
1789	#126	—	53	4	no	—
1790	#126	—	53	4	no	—
1791	#126	C₂²×D₅₃	1	4	yes	—
1792	#126	C₂²×D₅₃	1	4	yes	—
1793	#126	C₂²×D₅₃	1	4	yes	complemented
1794	#126	C₂²×D₅₃	1	4	yes	complemented
1795	#125	—	53	2	no	—
1796	#125	—	53	4	no	—
1797	#125	—	53	4	no	—
1798	#125	—	53	4	no	—
1799	#125	—	53	4	no	—
1800	#125	—	53	4	no	—
1801	#125	—	53	4	no	—
1802	#125	—	53	4	no	—
1803	#125	—	53	4	no	—
1804	#125	—	53	4	no	—
1805	#125	—	53	4	no	—
1806	#125	—	53	2	no	—
1807	#125	—	53	4	no	—
1808	#125	—	53	4	no	—
1809	#125	—	53	4	no	—
1810	#125	C₂²×D₅₃	1	2	yes	complemented
1811	#125	C₂²×D₅₃	1	2	yes	complemented
1812	#125	C₂²×D₅₃	1	4	yes	complemented
1813	#125	C₂²×D₅₃	1	4	yes	complemented
1814	#125	C₂²×D₅₃	1	4	yes	complemented
1815	#124	—	53	2	no	—
1816	#124	—	53	4	no	—
1817	#124	—	53	4	no	—
1818	#124	—	53	4	no	—
1819	#124	—	53	4	no	—
1820	#124	—	53	4	no	—
1821	#124	—	53	4	no	—
1822	#124	—	53	4	no	—
1823	#124	—	53	2	no	—
1824	#124	—	53	2	no	—
1825	#124	—	53	4	no	—
1826	#124	—	53	4	no	—
1827	#124	—	53	4	no	—
1828	#124	—	53	4	no	—
1829	#124	C₂²×D₅₃	1	4	yes	—
1830	#124	C₂²×D₅₃	1	2	yes	complemented
1831	#123	—	53	2	no	—
1832	#123	—	53	2	no	—
1833	#123	—	53	4	no	—
1834	#123	—	53	4	no	—
1835	#123	—	53	4	no	—
1836	#123	—	53	2	no	—
1837	#123	—	53	2	no	—
1838	#123	—	53	4	no	—
1839	#123	—	53	4	no	—
1840	#123	—	53	4	no	—
1841	#123	—	53	4	no	—
1842	#123	—	53	4	no	—
1843	#123	—	53	4	no	—
1844	#123	—	53	4	no	—
1845	#123	—	53	4	no	—
1846	#123	—	53	4	no	—
1847	#123	—	53	4	no	—
1848	#123	—	53	4	no	—
1849	#123	—	53	4	no	—
1850	#123	—	53	4	no	—
1851	#123	—	53	4	no	—
1852	#123	—	53	2	no	—
1853	#123	—	53	2	no	—
1854	#123	—	53	2	no	—
1855	#123	—	53	2	no	—
1856	#123	—	53	2	no	—
1857	#123	—	53	2	no	—
1858	#123	—	53	2	no	—
1859	#123	—	53	2	no	—
1860	#123	—	53	2	no	—
1861	#123	—	53	2	no	—
1862	#123	—	53	2	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	4	no	—
1874	#123	—	53	4	no	—
1875	#123	C₂²×D₅₃	1	2	yes	—
1876	#123	C₂²×D₅₃	1	4	yes	—
1877	#123	C₂²×D₅₃	1	4	yes	—
1878	#123	C₂²×D₅₃	1	4	yes	—
1879	C₂²⋊Q₈	—	53	2	no	—
1880	C₂²⋊Q₈	—	53	2	no	—
1881	C₂²⋊Q₈	—	53	2	no	—
1882	C₂²⋊Q₈	—	53	2	no	—
1883	C₂²⋊Q₈	—	53	1	no	—
1884	C₂²⋊Q₈	—	53	1	no	—
1885	C₂²⋊Q₈	—	53	2	no	—
1886	C₂²⋊Q₈	—	53	2	no	—
1887	C₂²⋊Q₈	—	53	2	no	—
1888	C₂²⋊Q₈	—	53	4	no	—
1889	C₂²⋊Q₈	—	53	4	no	—
1890	C₂²⋊Q₈	—	53	4	no	—
1891	C₂²⋊Q₈	—	53	4	no	—
1892	C₂²⋊Q₈	—	53	4	no	—
1893	C₂²⋊Q₈	—	53	2	no	—
1894	C₂²⋊Q₈	—	53	1	no	—
1895	C₂²⋊Q₈	—	53	2	no	—
1896	C₂²⋊Q₈	—	53	2	no	—
1897	C₂²⋊Q₈	—	53	2	no	—
1898	C₂²⋊Q₈	—	53	1	no	—
1899	C₂²⋊Q₈	—	53	2	no	—
1900	C₂²⋊Q₈	—	53	4	no	—
1901	C₂²⋊Q₈	—	53	4	no	—
1902	C₂²⋊Q₈	—	53	2	no	—
1903	C₂²⋊Q₈	—	53	1	no	—
1904	C₂²⋊Q₈	—	53	1	no	—
1905	C₂²⋊Q₈	—	53	2	no	—
1906	C₂²⋊Q₈	—	53	4	no	—
1907	C₂²⋊Q₈	—	53	4	no	—
1908	C₂²⋊Q₈	—	53	2	no	—
1909	C₂²⋊Q₈	—	53	2	no	—
1910	C₂²⋊Q₈	—	53	4	no	—
1911	C₂²⋊Q₈	—	53	4	no	—
1912	C₂²⋊Q₈	—	53	1	no	—
1913	C₂²⋊Q₈	—	53	1	no	—
1914	C₂²⋊Q₈	—	53	2	no	—
1915	C₂²⋊Q₈	—	53	2	no	—
1916	C₂²⋊Q₈	—	53	2	no	—
1917	C₂²⋊Q₈	—	53	1	no	—
1918	C₂²⋊Q₈	—	53	1	no	—
1919	C₂²⋊Q₈	—	53	1	no	—
1920	C₂²⋊Q₈	—	53	1	no	—
1921	C₂²⋊Q₈	—	53	1	no	—
1922	C₂²⋊Q₈	—	53	1	no	—
1923	C₂²⋊Q₈	—	53	2	no	—
1924	C₂²⋊Q₈	—	53	2	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	4	no	—
1931	C₂²⋊Q₈	—	53	4	no	—
1932	C₂²⋊Q₈	—	53	4	no	—
1933	C₂²⋊Q₈	—	53	4	no	—
1934	C₂²⋊Q₈	—	53	4	no	—
1935	C₂²⋊Q₈	—	53	2	no	—
1936	C₂²⋊Q₈	—	53	2	no	—
1937	C₂²⋊Q₈	—	53	4	no	—
1938	C₂²⋊Q₈	—	53	4	no	—
1939	C₂²⋊Q₈	—	53	4	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	4	no	—
1948	C₂²⋊Q₈	—	53	4	no	—
1949	C₂²⋊Q₈	—	53	4	no	—
1950	C₂²⋊Q₈	—	53	4	no	—
1951	C₂²⋊Q₈	—	53	4	no	—
1952	C₂²⋊Q₈	—	53	4	no	—
1953	C₂²⋊Q₈	—	53	4	no	—
1954	C₂²⋊Q₈	—	53	4	no	—
1955	C₂²⋊Q₈	—	53	4	no	—
1956	C₂²⋊Q₈	—	53	4	no	—
1957	C₂²⋊Q₈	—	53	4	no	—
1958	C₂²⋊Q₈	—	53	4	no	—
1959	C₂²⋊Q₈	—	53	2	no	—
1960	C₂²⋊Q₈	—	53	2	no	—
1961	C₂²⋊Q₈	—	53	4	no	—
1962	C₂²⋊Q₈	—	53	4	no	—
1963	C₂²⋊Q₈	—	53	4	no	—
1964	C₂²⋊Q₈	—	53	4	no	—
1965	C₂²⋊Q₈	—	53	4	no	—
1966	C₂²⋊Q₈	—	53	4	no	—
1967	C₂²⋊Q₈	—	53	4	no	—
1968	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1969	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1970	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1971	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1972	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1973	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1974	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
1975	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
1976	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1977	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1978	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1979	#121	—	53	2	no	—
1980	#121	—	53	1	no	—
1981	#121	—	53	1	no	—
1982	#121	—	53	2	no	—
1983	#121	—	53	2	no	—
1984	#121	—	53	4	no	—
1985	#121	—	53	4	no	—
1986	#121	—	53	4	no	—
1987	#121	—	53	1	no	—
1988	#121	—	53	1	no	—
1989	#121	—	53	2	no	—
1990	#121	—	53	4	no	—
1991	#121	—	53	4	no	—
1992	#121	—	53	4	no	—
1993	#121	—	53	1	no	—
1994	#121	—	53	1	no	—
1995	#121	—	53	2	no	—
1996	#121	—	53	1	no	—
1997	#121	—	53	1	no	—
1998	#121	—	53	2	no	—
1999	#121	—	53	1	no	—
2000	#121	—	53	1	no	—
2001	#121	—	53	1	no	—
2002	#121	—	53	1	no	—
2003	#121	—	53	1	no	—
2004	#121	—	53	1	no	—
2005	#121	—	53	2	no	—
2006	#121	—	53	2	no	—
2007	#121	—	53	4	no	—
2008	#121	—	53	4	no	—
2009	#121	—	53	2	no	—
2010	#121	—	53	2	no	—
2011	#121	—	53	4	no	—
2012	#121	—	53	4	no	—
2013	#121	—	53	4	no	—
2014	#121	—	53	4	no	—
2015	#121	—	53	2	no	—
2016	#121	—	53	2	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	C₂²×D₅₃	1	1	yes	characteristic
2026	#121	C₂²×D₅₃	1	1	yes	characteristic
2027	#120	—	53	2	no	—
2028	#120	—	53	2	no	—
2029	#120	—	53	2	no	—
2030	#120	—	53	2	no	—
2031	#120	—	53	4	no	—
2032	#120	—	53	2	no	—
2033	#120	—	53	2	no	—
2034	#120	—	53	2	no	—
2035	#120	—	53	2	no	—
2036	#120	—	53	2	no	—
2037	#120	—	53	2	no	—
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	4	no	—
2044	#120	—	53	4	no	—
2045	#120	—	53	4	no	—
2046	#120	C₂²×D₅₃	1	2	yes	—
2047	C₄×Q₈	—	53	4	no	—
2048	C₄×Q₈	—	53	2	no	—
2049	C₄×Q₈	—	53	2	no	—
2050	C₄×Q₈	—	53	2	no	—
2051	C₄×Q₈	—	53	2	no	—
2052	C₄×Q₈	—	53	2	no	—
2053	C₄×Q₈	—	53	2	no	—
2054	C₄×Q₈	—	53	2	no	—
2055	C₄×Q₈	—	53	4	no	—
2056	C₄×Q₈	—	53	4	no	—
2057	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
2058	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
2059	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
2060	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
2061	C₄×Q₈	C₂²×D₅₃	1	4	yes	complemented
2062	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
2063	C₄×D₄	—	53	2	no	—
2064	C₄×D₄	—	53	2	no	—
2065	C₄×D₄	—	53	4	no	—
2066	C₄×D₄	—	53	2	no	—
2067	C₄×D₄	—	53	2	no	—
2068	C₄×D₄	—	53	2	no	—
2069	C₄×D₄	—	53	2	no	—
2070	C₄×D₄	—	53	4	no	—
2071	C₄×D₄	—	53	4	no	—
2072	C₄×D₄	—	53	4	no	—
2073	C₄×D₄	—	53	2	no	—
2074	C₄×D₄	—	53	2	no	—
2075	C₄×D₄	—	53	4	no	—
2076	C₄×D₄	—	53	4	no	—
2077	C₄×D₄	—	53	4	no	—
2078	C₄×D₄	—	53	4	no	—
2079	C₄×D₄	—	53	4	no	—
2080	C₄×D₄	—	53	4	no	—
2081	C₄×D₄	—	53	4	no	—
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	2	no	—
2087	C₄×D₄	—	53	4	no	—
2088	C₄×D₄	—	53	4	no	—
2089	C₄×D₄	—	53	4	no	—
2090	C₄×D₄	—	53	4	no	—
2091	C₄×D₄	—	53	4	no	—
2092	C₄×D₄	—	53	4	no	—
2093	C₄×D₄	—	53	4	no	—
2094	C₄×D₄	—	53	2	no	—
2095	C₄×D₄	—	53	2	no	—
2096	C₄×D₄	—	53	2	no	—
2097	C₄×D₄	—	53	2	no	—
2098	C₄×D₄	—	53	2	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	2	no	—
2104	C₄×D₄	—	53	2	no	—
2105	C₄×D₄	—	53	2	no	—
2106	C₄×D₄	—	53	2	no	—
2107	C₄×D₄	—	53	2	no	—
2108	C₄×D₄	—	53	2	no	—
2109	C₄×D₄	—	53	2	no	—
2110	C₄×D₄	—	53	2	no	—
2111	C₄×D₄	—	53	2	no	—
2112	C₄×D₄	—	53	4	no	—
2113	C₄×D₄	—	53	4	no	—
2114	C₄×D₄	—	53	4	no	—
2115	C₄×D₄	—	53	4	no	—
2116	C₄×D₄	—	53	4	no	—
2117	C₄×D₄	—	53	4	no	—
2118	C₄×D₄	—	53	4	no	—
2119	C₄×D₄	—	53	4	no	—
2120	C₄×D₄	—	53	2	no	—
2121	C₄×D₄	—	53	2	no	—
2122	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2123	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2124	C₄×D₄	C₂²×D₅₃	1	4	yes	—
2125	C₄×D₄	C₂²×D₅₃	1	4	yes	—
2126	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2127	#117	—	53	1	no	—
2128	#117	—	53	4	no	—
2129	#117	—	53	1	no	—
2130	#117	—	53	1	no	—
2131	#117	—	53	4	no	—
2132	#117	—	53	2	no	—
2133	#117	—	53	2	no	—
2134	#117	—	53	2	no	—
2135	#117	—	53	4	no	—
2136	#117	—	53	4	no	—
2137	#117	—	53	2	no	—
2138	#117	—	53	4	no	—
2139	#117	—	53	2	no	—
2140	#117	—	53	4	no	—
2141	#117	—	53	4	no	—
2142	#117	—	53	4	no	—
2143	#117	—	53	4	no	—
2144	#117	C₂²×D₅₃	1	1	yes	characteristic
2145	#117	C₂²×D₅₃	1	1	yes	characteristic
2146	#117	C₂²×D₅₃	1	1	yes	characteristic
2147	#117	C₂²×D₅₃	1	2	yes	—
2148	#117	C₂²×D₅₃	1	2	yes	—
2149	#117	C₂²×D₅₃	1	1	yes	characteristic
2150	#117	C₂²×D₅₃	1	1	yes	characteristic
2151	#117	C₂²×D₅₃	1	4	yes	—
2152	#117	C₂²×D₅₃	1	4	yes	—
2153	#117	C₂²×D₅₃	1	4	yes	complemented
2154	#117	C₂²×D₅₃	1	2	yes	complemented
2155	C₂×C₄⋊C₄	—	53	1	no	—
2156	C₂×C₄⋊C₄	—	53	2	no	—
2157	C₂×C₄⋊C₄	—	53	2	no	—
2158	C₂×C₄⋊C₄	—	53	2	no	—
2159	C₂×C₄⋊C₄	—	53	2	no	—
2160	C₂×C₄⋊C₄	—	53	2	no	—
2161	C₂×C₄⋊C₄	—	53	2	no	—
2162	C₂×C₄⋊C₄	—	53	4	no	—
2163	C₂×C₄⋊C₄	—	53	4	no	—
2164	C₂×C₄⋊C₄	—	53	4	no	—
2165	C₂×C₄⋊C₄	—	53	2	no	—
2166	C₂×C₄⋊C₄	—	53	2	no	—
2167	C₂×C₄⋊C₄	—	53	2	no	—
2168	C₂×C₄⋊C₄	—	53	2	no	—
2169	C₂×C₄⋊C₄	—	53	4	no	—
2170	C₂×C₄⋊C₄	—	53	4	no	—
2171	C₂×C₄⋊C₄	—	53	1	no	—
2172	C₂×C₄⋊C₄	—	53	1	no	—
2173	C₂×C₄⋊C₄	—	53	2	no	—
2174	C₂×C₄⋊C₄	—	53	2	no	—
2175	C₂×C₄⋊C₄	—	53	2	no	—
2176	C₂×C₄⋊C₄	—	53	2	no	—
2177	C₂×C₄⋊C₄	—	53	2	no	—
2178	C₂×C₄⋊C₄	—	53	4	no	—
2179	C₂×C₄⋊C₄	—	53	4	no	—
2180	C₂×C₄⋊C₄	—	53	4	no	—
2181	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2182	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	—
2183	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2184	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2185	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2186	C₂×C₂²⋊C₄	—	53	2	no	—
2187	C₂×C₂²⋊C₄	—	53	2	no	—
2188	C₂×C₂²⋊C₄	—	53	2	no	—
2189	C₂×C₂²⋊C₄	—	53	2	no	—
2190	C₂×C₂²⋊C₄	—	53	2	no	—
2191	C₂×C₂²⋊C₄	—	53	2	no	—
2192	C₂×C₂²⋊C₄	—	53	2	no	—
2193	C₂×C₂²⋊C₄	—	53	4	no	—
2194	C₂×C₂²⋊C₄	—	53	4	no	—
2195	C₂×C₂²⋊C₄	—	53	4	no	—
2196	C₂×C₂²⋊C₄	—	53	4	no	—
2197	C₂×C₂²⋊C₄	—	53	4	no	—
2198	C₂×C₂²⋊C₄	—	53	2	no	—
2199	C₂×C₂²⋊C₄	—	53	2	no	—
2200	C₂×C₂²⋊C₄	—	53	2	no	—
2201	C₂×C₂²⋊C₄	—	53	2	no	—
2202	C₂×C₂²⋊C₄	—	53	2	no	—
2203	C₂×C₂²⋊C₄	—	53	4	no	—
2204	C₂×C₂²⋊C₄	—	53	4	no	—
2205	C₂×C₂²⋊C₄	—	53	4	no	—
2206	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2207	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2208	C₂×C₄²	—	53	2	no	—
2209	C₂×C₄²	C₂²×D₅₃	1	2	yes	—
2210	C₂⁴	—	53	1	no	—
2211	C₂⁴	—	53	1	no	—
2212	C₂⁴	—	53	1	no	—
2213	C₂⁴	—	53	1	no	—
2214	C₂⁴	—	53	1	no	—
2215	C₂⁴	—	53	2	no	—
2216	C₂⁴	—	53	2	no	—
2217	C₂⁴	—	53	1	no	—
2218	C₂⁴	—	106	4	no	—
2219	C₂⁴	—	212	2	no	—
2220	C₂⁴	—	212	2	no	—
2221	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2222	#41	—	2	4	no	—
2223	#41	—	106	4	no	—
2224	#41	—	106	4	no	—
2225	#41	—	106	4	no	—
2226	#41	—	212	4	no	—
2227	#41	—	212	4	no	—
2228	#41	—	212	4	no	—
2229	#41	—	212	8	no	—
2230	#41	—	212	2	no	—
2231	#41	—	212	2	no	—
2232	#41	—	212	4	no	—
2233	#41	—	212	8	no	—
2234	#41	—	212	4	no	—
2235	#41	—	212	8	no	—
2236	#41	—	212	2	no	—
2237	#41	—	212	4	no	—
2238	#41	—	212	8	no	—
2239	#41	—	212	2	no	—
2240	#41	—	212	4	no	—
2241	#41	—	212	4	no	—
2242	C₂×Q₈	—	2	4	no	—
2243	C₂×Q₈	—	53	2	no	—
2244	C₂×Q₈	—	53	2	no	—
2245	C₂×Q₈	—	53	1	no	—
2246	C₂×Q₈	—	53	1	no	—
2247	C₂×Q₈	—	53	1	no	—
2248	C₂×Q₈	—	53	4	no	—
2249	C₂×Q₈	—	53	4	no	—
2250	C₂×Q₈	—	53	4	no	—
2251	C₂×Q₈	—	53	2	no	—
2252	C₂×Q₈	—	53	2	no	—
2253	C₂×Q₈	—	53	4	no	—
2254	C₂×Q₈	—	53	4	no	—
2255	C₂×Q₈	—	106	4	no	—
2256	C₂×Q₈	—	212	4	no	—
2257	C₂×Q₈	—	212	2	no	—
2258	C₂×Q₈	—	212	4	no	—
2259	C₂×Q₈	—	212	4	no	—
2260	C₂×Q₈	—	212	4	no	—
2261	C₂×Q₈	—	212	4	no	—
2262	C₂×Q₈	—	212	4	no	—
2263	C₂×Q₈	—	212	2	no	—
2264	C₂×Q₈	—	212	4	no	—
2265	C₂×Q₈	—	212	4	no	—
2266	C₂×Q₈	—	212	4	no	—
2267	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2268	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2269	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2270	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
2271	C₂×D₄	—	53	2	no	—
2272	C₂×D₄	—	53	2	no	—
2273	C₂×D₄	—	53	2	no	—
2274	C₂×D₄	—	53	2	no	—
2275	C₂×D₄	—	53	2	no	—
2276	C₂×D₄	—	53	2	no	—
2277	C₂×D₄	—	53	4	no	—
2278	C₂×D₄	—	53	2	no	—
2279	C₂×D₄	—	53	4	no	—
2280	C₂×D₄	—	53	2	no	—
2281	C₂×D₄	—	53	2	no	—
2282	C₂×D₄	—	53	2	no	—
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	2	no	—
2291	C₂×D₄	—	53	2	no	—
2292	C₂×D₄	—	53	1	no	—
2293	C₂×D₄	—	53	1	no	—
2294	C₂×D₄	—	53	1	no	—
2295	C₂×D₄	—	53	4	no	—
2296	C₂×D₄	—	53	2	no	—
2297	C₂×D₄	—	53	2	no	—
2298	C₂×D₄	—	53	4	no	—
2299	C₂×D₄	—	53	2	no	—
2300	C₂×D₄	—	53	2	no	—
2301	C₂×D₄	—	106	8	no	—
2302	C₂×D₄	—	106	8	no	—
2303	C₂×D₄	—	212	2	no	—
2304	C₂×D₄	—	212	4	no	—
2305	C₂×D₄	—	212	2	no	—
2306	C₂×D₄	—	212	4	no	—
2307	C₂×D₄	—	212	4	no	—
2308	C₂×D₄	—	212	4	no	—
2309	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2310	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2311	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2312	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2313	C₂²×C₄	—	2	4	no	—
2314	C₂²×C₄	—	53	2	no	—
2315	C₂²×C₄	—	53	1	no	—
2316	C₂²×C₄	—	53	1	no	—
2317	C₂²×C₄	—	53	2	no	—
2318	C₂²×C₄	—	53	1	no	—
2319	C₂²×C₄	—	53	2	no	—
2320	C₂²×C₄	—	53	1	no	—
2321	C₂²×C₄	—	53	4	no	—
2322	C₂²×C₄	—	53	2	no	—
2323	C₂²×C₄	—	53	1	no	—
2324	C₂²×C₄	—	53	1	no	—
2325	C₂²×C₄	—	53	1	no	—
2326	C₂²×C₄	—	53	2	no	—
2327	C₂²×C₄	—	53	4	no	—
2328	C₂²×C₄	—	53	1	no	—
2329	C₂²×C₄	—	53	1	no	—
2330	C₂²×C₄	—	53	1	no	—
2331	C₂²×C₄	—	53	1	no	—
2332	C₂²×C₄	—	53	1	no	—
2333	C₂²×C₄	—	53	2	no	—
2334	C₂²×C₄	—	53	2	no	—
2335	C₂²×C₄	—	53	2	no	—
2336	C₂²×C₄	—	53	1	no	—
2337	C₂²×C₄	—	53	1	no	—
2338	C₂²×C₄	—	53	2	no	—
2339	C₂²×C₄	—	53	4	no	—
2340	C₂²×C₄	—	53	4	no	—
2341	C₂²×C₄	—	53	4	no	—
2342	C₂²×C₄	—	53	1	no	—
2343	C₂²×C₄	—	53	2	no	—
2344	C₂²×C₄	—	53	1	no	—
2345	C₂²×C₄	—	53	4	no	—
2346	C₂²×C₄	—	53	4	no	—
2347	C₂²×C₄	—	53	4	no	—
2348	C₂²×C₄	—	53	4	no	—
2349	C₂²×C₄	—	53	4	no	—
2350	C₂²×C₄	—	53	4	no	—
2351	C₂²×C₄	—	53	1	no	—
2352	C₂²×C₄	—	53	1	no	—
2353	C₂²×C₄	—	53	1	no	—
2354	C₂²×C₄	—	53	1	no	—
2355	C₂²×C₄	—	53	2	no	—
2356	C₂²×C₄	—	53	2	no	—
2357	C₂²×C₄	—	53	2	no	—
2358	C₂²×C₄	—	53	1	no	—
2359	C₂²×C₄	—	53	1	no	—
2360	C₂²×C₄	—	106	4	no	—
2361	C₂²×C₄	—	106	4	no	—
2362	C₂²×C₄	—	212	2	no	—
2363	C₂²×C₄	—	212	2	no	—
2364	C₂²×C₄	—	212	2	no	—
2365	C₂²×C₄	—	212	2	no	—
2366	C₂²×C₄	—	212	2	no	—
2367	C₂²×C₄	—	212	2	no	—
2368	C₂²×C₄	—	212	2	no	—
2369	C₂²×C₄	—	212	2	no	—
2370	C₂²×C₄	—	212	4	no	—
2371	C₂²×C₄	—	212	4	no	—
2372	C₂²×C₄	—	212	2	no	—
2373	C₂²×C₄	—	212	2	no	—
2374	C₂²×C₄	—	212	4	no	—
2375	C₂²×C₄	—	212	4	no	—
2376	C₂²×C₄	—	212	2	no	—
2377	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2378	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2379	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2380	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2381	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2382	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2383	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2384	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2385	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2386	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2387	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2388	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2389	C₄⋊C₄	—	53	2	no	—
2390	C₄⋊C₄	—	53	2	no	—
2391	C₄⋊C₄	—	53	4	no	—
2392	C₄⋊C₄	—	53	4	no	—
2393	C₄⋊C₄	—	53	4	no	—
2394	C₄⋊C₄	—	53	1	no	—
2395	C₄⋊C₄	—	53	2	no	—
2396	C₄⋊C₄	—	53	2	no	—
2397	C₄⋊C₄	—	53	2	no	—
2398	C₄⋊C₄	—	53	4	no	—
2399	C₄⋊C₄	—	53	4	no	—
2400	C₄⋊C₄	—	53	4	no	—
2401	C₄⋊C₄	—	53	4	no	—
2402	C₄⋊C₄	—	53	4	no	—
2403	C₄⋊C₄	—	53	4	no	—
2404	C₄⋊C₄	—	53	4	no	—
2405	C₄⋊C₄	—	53	1	no	—
2406	C₄⋊C₄	—	53	2	no	—
2407	C₄⋊C₄	—	53	2	no	—
2408	C₄⋊C₄	—	53	2	no	—
2409	C₄⋊C₄	—	53	2	no	—
2410	C₄⋊C₄	—	53	2	no	—
2411	C₄⋊C₄	—	53	2	no	—
2412	C₄⋊C₄	—	53	2	no	—
2413	C₄⋊C₄	—	53	2	no	—
2414	C₄⋊C₄	—	53	2	no	—
2415	C₄⋊C₄	—	53	2	no	—
2416	C₄⋊C₄	—	53	2	no	—
2417	C₄⋊C₄	—	53	2	no	—
2418	C₄⋊C₄	—	53	2	no	—
2419	C₄⋊C₄	—	53	4	no	—
2420	C₄⋊C₄	—	53	4	no	—
2421	C₄⋊C₄	—	53	4	no	—
2422	C₄⋊C₄	—	53	4	no	—
2423	C₄⋊C₄	—	53	4	no	—
2424	C₄⋊C₄	—	53	4	no	—
2425	C₄⋊C₄	—	53	4	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	4	no	—
2431	C₄⋊C₄	—	53	4	no	—
2432	C₄⋊C₄	—	53	4	no	—
2433	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2434	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2435	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2436	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2437	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2438	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2439	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2440	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2441	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2442	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2443	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2444	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2445	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2446	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2447	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2448	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2449	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2450	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2451	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2452	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2453	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2454	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2455	C₂²⋊C₄	—	53	4	no	—
2456	C₂²⋊C₄	—	53	2	no	—
2457	C₂²⋊C₄	—	53	4	no	—
2458	C₂²⋊C₄	—	53	2	no	—
2459	C₂²⋊C₄	—	53	2	no	—
2460	C₂²⋊C₄	—	53	4	no	—
2461	C₂²⋊C₄	—	53	2	no	—
2462	C₂²⋊C₄	—	53	2	no	—
2463	C₂²⋊C₄	—	53	4	no	—
2464	C₂²⋊C₄	—	53	4	no	—
2465	C₂²⋊C₄	—	53	2	no	—
2466	C₂²⋊C₄	—	53	2	no	—
2467	C₂²⋊C₄	—	53	4	no	—
2468	C₂²⋊C₄	—	53	4	no	—
2469	C₂²⋊C₄	—	53	2	no	—
2470	C₂²⋊C₄	—	53	2	no	—
2471	C₂²⋊C₄	—	53	2	no	—
2472	C₂²⋊C₄	—	53	2	no	—
2473	C₂²⋊C₄	—	53	2	no	—
2474	C₂²⋊C₄	—	53	2	no	—
2475	C₂²⋊C₄	—	53	2	no	—
2476	C₂²⋊C₄	—	53	2	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	2	no	—
2485	C₂²⋊C₄	—	53	2	no	—
2486	C₂²⋊C₄	—	53	2	no	—
2487	C₂²⋊C₄	—	53	4	no	—
2488	C₂²⋊C₄	—	53	4	no	—
2489	C₂²⋊C₄	—	53	4	no	—
2490	C₂²⋊C₄	—	53	4	no	—
2491	C₂²⋊C₄	—	53	4	no	—
2492	C₂²⋊C₄	—	53	4	no	—
2493	C₂²⋊C₄	—	53	2	no	—
2494	C₂²⋊C₄	—	53	2	no	—
2495	C₂²⋊C₄	—	53	2	no	—
2496	C₂²⋊C₄	—	53	2	no	—
2497	C₂²⋊C₄	—	53	2	no	—
2498	C₂²⋊C₄	—	53	2	no	—
2499	C₂²⋊C₄	—	53	4	no	—
2500	C₂²⋊C₄	—	53	4	no	—
2501	C₂²⋊C₄	—	53	4	no	—
2502	C₂²⋊C₄	—	53	4	no	—
2503	C₂²⋊C₄	—	53	4	no	—
2504	C₂²⋊C₄	—	53	4	no	—
2505	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2506	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2507	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2508	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2509	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2510	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2511	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2512	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2513	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2514	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2515	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2516	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2517	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2518	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2519	C₄²	—	53	2	no	—
2520	C₄²	—	53	2	no	—
2521	C₄²	—	53	2	no	—
2522	C₄²	—	53	4	no	—
2523	C₄²	—	53	4	no	—
2524	C₄²	—	53	4	no	—
2525	C₄²	—	53	4	no	—
2526	C₄²	—	53	4	no	—
2527	C₄²	C₂³×D₅₃	1	2	yes	—
2528	C₄²	C₂³×D₅₃	1	2	yes	—
2529	C₄²	C₂³×D₅₃	1	2	yes	—
2530	C₄²	C₂³×D₅₃	1	2	yes	—
2531	C₄²	C₂³×D₅₃	1	2	yes	—
2532	C₄²	C₂³×D₅₃	1	4	yes	—
2533	C₄²	C₂³×D₅₃	1	4	yes	—
2534	C₄²	C₂³×D₅₃	1	4	yes	—
2535	C₂³	—	2	2	no	—
2536	C₂³	—	2	2	no	—
2537	C₂³	—	4	1	no	—
2538	C₂³	—	53	1	no	—
2539	C₂³	—	53	1	no	—
2540	C₂³	—	53	1	no	—
2541	C₂³	—	53	4	no	—
2542	C₂³	—	53	1	no	—
2543	C₂³	—	53	2	no	—
2544	C₂³	—	53	2	no	—
2545	C₂³	—	53	2	no	—
2546	C₂³	—	106	2	no	—
2547	C₂³	—	106	2	no	—
2548	C₂³	—	106	4	no	—
2549	C₂³	—	106	2	no	—
2550	C₂³	—	106	2	no	—
2551	C₂³	—	106	2	no	—
2552	C₂³	—	106	2	no	—
2553	C₂³	—	106	2	no	—
2554	C₂³	—	106	2	no	—
2555	C₂³	—	106	4	no	—
2556	C₂³	—	106	2	no	—
2557	C₂³	—	106	2	no	—
2558	C₂³	—	212	2	no	—
2559	C₂³	—	212	2	no	—
2560	C₂³	—	212	2	no	—
2561	C₂³	—	212	2	no	—
2562	C₂³	—	212	1	no	—
2563	C₂³	—	212	1	no	—
2564	C₂³	—	212	1	no	—
2565	C₂³	—	212	1	no	—
2566	C₂³	—	212	1	no	—
2567	C₂³	—	212	1	no	—
2568	C₂³	—	212	1	no	—
2569	C₂³	—	212	16	no	—
2570	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2571	C₂³	C₂⁴×D₅₃	1	2	yes	—
2572	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2573	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2574	Q₈	—	2	4	no	—
2575	Q₈	—	2	4	no	—
2576	Q₈	—	2	2	no	—
2577	Q₈	—	4	4	no	—
2578	Q₈	—	106	4	no	—
2579	Q₈	—	106	4	no	—
2580	Q₈	—	106	2	no	—
2581	Q₈	—	106	2	no	—
2582	Q₈	—	106	2	no	—
2583	Q₈	—	212	4	no	—
2584	Q₈	—	212	4	no	—
2585	Q₈	—	212	4	no	—
2586	Q₈	—	212	4	no	—
2587	Q₈	—	212	2	no	—
2588	Q₈	—	212	2	no	—
2589	Q₈	—	212	4	no	—
2590	D₄	—	2	4	no	—
2591	D₄	—	2	4	no	—
2592	D₄	—	2	2	no	—
2593	D₄	—	4	2	no	—
2594	D₄	—	106	4	no	—
2595	D₄	—	106	4	no	—
2596	D₄	—	106	4	no	—
2597	D₄	—	106	4	no	—
2598	D₄	—	106	4	no	—
2599	D₄	—	106	4	no	—
2600	D₄	—	106	4	no	—
2601	D₄	—	106	4	no	—
2602	D₄	—	106	4	no	—
2603	D₄	—	106	4	no	—
2604	D₄	—	106	4	no	—
2605	D₄	—	106	4	no	—
2606	D₄	—	106	4	no	—
2607	D₄	—	106	4	no	—
2608	D₄	—	106	2	no	—
2609	D₄	—	106	2	no	—
2610	D₄	—	106	2	no	—
2611	D₄	—	212	2	no	—
2612	D₄	—	212	2	no	—
2613	D₄	—	212	2	no	—
2614	D₄	—	212	2	no	—
2615	D₄	—	212	4	no	—
2616	D₄	—	212	4	no	—
2617	D₄	—	212	2	no	—
2618	D₄	—	212	2	no	—
2619	D₄	—	212	2	no	—
2620	D₄	—	212	2	no	—
2621	D₄	—	212	2	no	—
2622	D₄	—	212	4	no	—
2623	D₄	—	212	4	no	—
2624	C₂×C₄	—	2	2	no	—
2625	C₂×C₄	—	2	4	no	—
2626	C₂×C₄	—	2	4	no	—
2627	C₂×C₄	—	2	2	no	—
2628	C₂×C₄	—	2	2	no	—
2629	C₂×C₄	—	2	2	no	—
2630	C₂×C₄	—	2	2	no	—
2631	C₂×C₄	—	2	4	no	—
2632	C₂×C₄	—	4	2	no	—
2633	C₂×C₄	—	4	2	no	—
2634	C₂×C₄	—	4	4	no	—
2635	C₂×C₄	—	53	2	no	—
2636	C₂×C₄	—	53	2	no	—
2637	C₂×C₄	—	53	1	no	—
2638	C₂×C₄	—	53	4	no	—
2639	C₂×C₄	—	53	4	no	—
2640	C₂×C₄	—	53	2	no	—
2641	C₂×C₄	—	53	2	no	—
2642	C₂×C₄	—	53	2	no	—
2643	C₂×C₄	—	53	1	no	—
2644	C₂×C₄	—	53	1	no	—
2645	C₂×C₄	—	53	1	no	—
2646	C₂×C₄	—	106	8	no	—
2647	C₂×C₄	—	106	4	no	—
2648	C₂×C₄	—	106	2	no	—
2649	C₂×C₄	—	106	2	no	—
2650	C₂×C₄	—	106	4	no	—
2651	C₂×C₄	—	106	2	no	—
2652	C₂×C₄	—	106	2	no	—
2653	C₂×C₄	—	106	2	no	—
2654	C₂×C₄	—	106	2	no	—
2655	C₂×C₄	—	106	2	no	—
2656	C₂×C₄	—	106	2	no	—
2657	C₂×C₄	—	106	2	no	—
2658	C₂×C₄	—	106	2	no	—
2659	C₂×C₄	—	106	4	no	—
2660	C₂×C₄	—	106	4	no	—
2661	C₂×C₄	—	106	4	no	—
2662	C₂×C₄	—	212	4	no	—
2663	C₂×C₄	—	212	1	no	—
2664	C₂×C₄	—	212	1	no	—
2665	C₂×C₄	—	212	1	no	—
2666	C₂×C₄	—	212	1	no	—
2667	C₂×C₄	—	212	1	no	—
2668	C₂×C₄	—	212	1	no	—
2669	C₂×C₄	—	212	1	no	—
2670	C₂×C₄	—	212	1	no	—
2671	C₂×C₄	—	212	2	no	—
2672	C₂×C₄	—	212	4	no	—
2673	C₂×C₄	—	212	4	no	—
2674	C₂×C₄	—	212	2	no	—
2675	C₂×C₄	—	212	2	no	—
2676	C₂×C₄	—	212	2	no	—
2677	C₂×C₄	—	212	2	no	—
2678	C₂×C₄	—	212	4	no	—
2679	C₂×C₄	—	212	4	no	—
2680	C₂×C₄	—	212	4	no	—
2681	C₂×C₄	—	212	4	no	—
2682	C₂×C₄	—	212	4	no	—
2683	C₂×C₄	—	212	4	no	—
2684	C₂×C₄	—	212	2	no	—
2685	C₂×C₄	—	212	1	no	—
2686	C₂×C₄	—	212	1	no	—
2687	C₂×C₄	—	212	1	no	—
2688	C₂×C₄	—	212	1	no	—
2689	C₂×C₄	—	212	2	no	—
2690	C₂×C₄	—	212	2	no	—
2691	C₂×C₄	—	212	4	no	—
2692	C₂×C₄	#13133263	1	4	yes	—
2693	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2694	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2695	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2696	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2697	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2698	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2699	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2700	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2701	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2702	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2703	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2704	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2705	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2706	C₂²	—	2	1	no	—
2707	C₂²	—	2	1	no	—
2708	C₂²	—	2	1	no	—
2709	C₂²	—	2	1	no	—
2710	C₂²	—	2	1	no	—
2711	C₂²	—	2	2	no	—
2712	C₂²	—	2	2	no	—
2713	C₂²	—	2	1	no	—
2714	C₂²	—	2	2	no	—
2715	C₂²	—	2	1	no	—
2716	C₂²	—	4	4	no	—
2717	C₂²	—	53	2	no	—
2718	C₂²	—	53	2	no	—
2719	C₂²	—	53	2	no	—
2720	C₂²	—	106	8	no	—
2721	C₂²	—	106	1	no	—
2722	C₂²	—	106	1	no	—
2723	C₂²	—	106	1	no	—
2724	C₂²	—	106	1	no	—
2725	C₂²	—	106	1	no	—
2726	C₂²	—	106	1	no	—
2727	C₂²	—	106	1	no	—
2728	C₂²	—	106	2	no	—
2729	C₂²	—	106	2	no	—
2730	C₂²	—	106	2	no	—
2731	C₂²	—	106	2	no	—
2732	C₂²	—	106	2	no	—
2733	C₂²	—	106	2	no	—
2734	C₂²	—	106	1	no	—
2735	C₂²	—	106	2	no	—
2736	C₂²	—	106	2	no	—
2737	C₂²	—	106	2	no	—
2738	C₂²	—	106	1	no	—
2739	C₂²	—	424	4	no	—
2740	C₂²	—	424	4	no	—
2741	C₂²	—	212	4	no	—
2742	C₂²	—	212	4	no	—
2743	C₂²	—	212	4	no	—
2744	C₂²	—	212	4	no	—
2745	C₂²	—	212	4	no	—
2746	C₂²	C₂×#13133263	1	2	yes	—
2747	C₂²	2₋¹⁺⁴×D₅₃	1	2	yes	—
2748	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2749	C₄	—	2	1	no	—
2750	C₄	—	2	1	no	—
2751	C₄	—	2	2	no	—
2752	C₄	—	2	4	no	—
2753	C₄	—	2	2	no	—
2754	C₄	—	2	2	no	—
2755	C₄	—	2	2	no	—
2756	C₄	—	2	2	no	—
2757	C₄	—	2	4	no	—
2758	C₄	—	2	2	no	—
2759	C₄	—	2	2	no	—
2760	C₄	—	106	1	no	—
2761	C₄	—	106	1	no	—
2762	C₄	—	106	1	no	—
2763	C₄	—	106	1	no	—
2764	C₄	—	106	2	no	—
2765	C₄	—	106	2	no	—
2766	C₄	—	106	2	no	—
2767	C₄	—	106	4	no	—
2768	C₄	—	106	2	no	—
2769	C₄	—	106	4	no	—
2770	C₄	—	106	2	no	—
2771	C₄	C₂×#13133263	1	2	yes	—
2772	C₄	C₂×#13133263	1	2	yes	—
2773	C₂	—	2	2	no	—
2774	C₂	—	2	2	no	—
2775	C₂	—	4	1	no	—
2776	C₂	—	4	2	no	—
2777	C₂	—	106	2	no	—
2778	C₂	—	106	2	no	—
2779	C₂	—	106	2	no	—
2780	C₂	—	212	2	no	—
2781	C₂	—	212	2	no	—
2782	C₂	—	212	2	no	—
2783	C₂	—	212	1	no	—
2784	C₂	C₂²×#13133263	1	1	yes	characteristic
2785	C₂	C₂×2₋¹⁺⁴×D₅₃	1	1	yes	characteristic
2786	C₂	#585×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3495	C₂
hypercenter	#3495	D₅₃
hypocenter	C₅₃	#62819
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3495

Complements

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

N	H ≅ G/N	type
1. #20289015	C₂	semidirect
2. #20289014	C₂	semidirect
3. #20289011	C₂	semidirect
4. #20289004	C₂	semidirect
5. #20288963	C₂	semidirect
6. #20288961	C₂	semidirect
7. #20288943	C₂	semidirect
8. #20288940	C₂	semidirect
9. #20288927	C₂	semidirect
10. #20288920	C₂	semidirect
11. #20288766	C₂	semidirect
12. #20288763	C₂	semidirect
13. #20288761	C₂	semidirect
14. #20288759	C₂	semidirect
15. #20288555	C₂	semidirect
16. #20288550	C₂	semidirect
17. #20288516	C₂	semidirect
18. #20288512	C₂	semidirect
19. #20288470	C₂	semidirect
20. #20288467	C₂	semidirect
21. #20288457	C₂	semidirect
22. #20288425	C₂	semidirect
23. #20288418	C₂	semidirect
24. #20288415	C₂	semidirect
25. #20288399	C₂	semidirect
26. #20288396	C₂	semidirect
27. #20288393	C₂	semidirect
28. #20288391	C₂	semidirect
29. #20288387	C₂	semidirect
30. #20288367	C₂	semidirect
31. #20288364	C₂	semidirect
32. C₂×#16811135	C₂	semidirect
33. #525×D₅₃	C₂	semidirect
34. C₂×C₂²⋊Q₈×D₅₃	C₂	semidirect
35. C₅₃×#3495	C₂	semidirect
36. C₂×#13133265	C₂²	semidirect
37. C₂×#13133264	C₂²	semidirect
38. C₂²×#11719945	C₂²	semidirect
39. C₂×#41×D₅₃	C₂²	semidirect
40. C₂²×Q₈×D₅₃	C₂²	semidirect
42. #16811377	C₂²	semidirect
43. #16811375	C₂²	semidirect
44. #16811375	C₂²	semidirect
45. #16811375	C₂²	semidirect
46. #16811371	C₂²	semidirect
47. #16811370	C₂²	semidirect
48. #16811369	C₂²	semidirect
49. #16811367	C₂²	semidirect
50. #16811347	C₂²	semidirect
51. #16811346	C₂²	semidirect
52. #16811341	C₂²	semidirect
53. #16811334	C₂²	semidirect
54. #16811334	C₂²	semidirect
55. #16811334	C₂²	semidirect
56. #16811333	C₂²	semidirect
57. #16811333	C₂²	semidirect
58. #16811333	C₂²	semidirect
59. #16811333	C₂²	semidirect
60. #16811331	C₂²	semidirect
61. #16811331	C₂²	semidirect
62. #16811330	C₂²	semidirect
63. #16811329	C₂²	semidirect
64. #16811329	C₂²	semidirect
65. #16811329	C₂²	semidirect
66. #16811328	C₂²	semidirect
67. #16811328	C₂²	semidirect
68. #16811326	C₂²	semidirect
69. #16811326	C₂²	semidirect
70. #16811326	C₂²	semidirect
71. #16811324	C₂²	semidirect
72. #16811324	C₂²	semidirect
73. #16811323	C₂²	semidirect
74. #16811317	C₂²	semidirect
75. #16811317	C₂²	semidirect
76. #16811315	C₂²	semidirect
77. #16811314	C₂²	semidirect
78. #16811314	C₂²	semidirect
79. #16811314	C₂²	semidirect
80. #16811312	C₂²	semidirect
81. #16811312	C₂²	semidirect
82. #16811311	C₂²	semidirect
83. #16811311	C₂²	semidirect
84. #16811311	C₂²	semidirect
85. #16811311	C₂²	semidirect
86. #16811308	C₂²	semidirect
87. #16811306	C₂²	semidirect
88. #16811306	C₂²	semidirect
89. #16811300	C₂²	semidirect
90. #16811299	C₂²	semidirect
91. #16811298	C₂²	semidirect
92. #16811298	C₂²	semidirect
93. #16811298	C₂²	semidirect
94. #16811297	C₂²	semidirect
95. #16811297	C₂²	semidirect
96. #16811297	C₂²	semidirect
97. #16811297	C₂²	semidirect
98. #16811296	C₂²	semidirect
99. #16811296	C₂²	semidirect
100. Q₈×D₂₁₂	C₂²	semidirect
101. Q₈×D₂₁₂	C₂²	semidirect
102. Q₈×D₂₁₂	C₂²	semidirect
103. Q₈×D₂₁₂	C₂²	semidirect
104. Q₈×D₂₁₂	C₂²	semidirect
105. D₄×Dic₁₀₆	C₂²	semidirect
106. #16811288	C₂²	semidirect
107. #16811288	C₂²	semidirect
108. #16811288	C₂²	semidirect
109. #16811286	C₂²	semidirect
110. #16811286	C₂²	semidirect
111. #16811286	C₂²	semidirect
112. #16811285	C₂²	semidirect
113. #16811285	C₂²	semidirect
114. #16811285	C₂²	semidirect
115. #16811285	C₂²	semidirect
116. #16811285	C₂²	semidirect
117. #16811283	C₂²	semidirect
118. #16811283	C₂²	semidirect
119. #16811283	C₂²	semidirect
120. #16811282	C₂²	semidirect
121. #16811281	C₂²	semidirect
122. #16811281	C₂²	semidirect
123. #16811281	C₂²	semidirect
124. #16811278	C₂²	semidirect
125. #16811278	C₂²	semidirect
126. #16811277	C₂²	semidirect
127. #16811277	C₂²	semidirect
128. #16811276	C₂²	semidirect
129. #16811276	C₂²	semidirect
130. #16811276	C₂²	semidirect
131. #16811275	C₂²	semidirect
132. #16811274	C₂²	semidirect
133. #16811274	C₂²	semidirect
134. #16811271	C₂²	semidirect
135. #16811271	C₂²	semidirect
136. #16811269	C₂²	semidirect
137. #16811269	C₂²	semidirect
138. #16811268	C₂²	semidirect
139. #16811268	C₂²	semidirect
140. #16811266	C₂²	semidirect
141. #16811266	C₂²	semidirect
142. #16811265	C₂²	semidirect
143. #16811265	C₂²	semidirect
144. #16811264	C₂²	semidirect
145. #16811264	C₂²	semidirect
146. #16811263	C₂²	semidirect
147. #16811260	C₂²	semidirect
148. #16811253	C₂²	semidirect
149. #16811253	C₂²	semidirect
150. #16811251	C₂²	semidirect
151. #16811251	C₂²	semidirect
153. #16811248	C₂²	semidirect
154. #16811248	C₂²	semidirect
155. #16811247	C₂²	semidirect
156. #16811245	C₂²	semidirect
157. #16811245	C₂²	semidirect
158. #16811244	C₂²	semidirect
159. #16811244	C₂²	semidirect
160. #16811242	C₂²	semidirect
161. #16811239	C₂²	semidirect
162. #16811236	C₂²	semidirect
163. #16811235	C₂²	semidirect
164. #16811231	C₂²	semidirect
165. #16811222	C₂²	semidirect
166. #16811221	C₂²	semidirect
167. #16811221	C₂²	semidirect
168. #16811221	C₂²	semidirect
169. #16811221	C₂²	semidirect
170. #16811217	C₂²	semidirect
171. #16811217	C₂²	semidirect
172. #16811215	C₂²	semidirect
173. #16811214	C₂²	semidirect
174. #16811214	C₂²	semidirect
175. #16811214	C₂²	semidirect
176. #16811214	C₂²	semidirect
177. #16811212	C₂²	semidirect
178. #16811212	C₂²	semidirect
179. #16811212	C₂²	semidirect
180. #16811209	C₂²	semidirect
181. #16811207	C₂²	semidirect
182. #16811206	C₂²	semidirect
183. #16811204	C₂²	semidirect
184. #16811204	C₂²	semidirect
185. #16811203	C₂²	semidirect
186. #16811203	C₂²	semidirect
187. #16811203	C₂²	semidirect
188. #16811202	C₂²	semidirect
189. #16811201	C₂²	semidirect
190. #16811199	C₂²	semidirect
191. #16811199	C₂²	semidirect
192. #16811199	C₂²	semidirect
193. #16811199	C₂²	semidirect
194. #16811197	C₂²	semidirect
195. #16811196	C₂²	semidirect
196. #16811196	C₂²	semidirect
197. #16811196	C₂²	semidirect
198. #16811195	C₂²	semidirect
200. #16811180	C₂²	semidirect
201. #16811178	C₂²	semidirect
202. #16811177	C₂²	semidirect
203. #16811160	C₂²	semidirect
204. #16811158	C₂²	semidirect
205. #16811157	C₂²	semidirect
207. #16811136	C₂²	semidirect
208. #16811136	C₂²	semidirect
209. #16811136	C₂²	semidirect
210. #16811136	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. #16811135	C₂²	semidirect
228. #16811133	C₂²	semidirect
229. #16811133	C₂²	semidirect
231. #16811132	C₂²	semidirect
232. #16811132	C₂²	semidirect
233. #16811131	C₂²	semidirect
234. #16811131	C₂²	semidirect
235. #16811130	C₂²	semidirect
237. C₂×#13133201	C₂²	semidirect
238. #123×D₅₃	C₂²	semidirect
240. C₂×#13133197	C₂²	semidirect
241. C₂×#13133197	C₂²	semidirect
242. C₂×#13133197	C₂²	semidirect
243. C₂×#13133196	C₂²	semidirect
244. C₂×#13133195	C₂²	semidirect
245. C₂×#13133194	C₂²	semidirect
246. C₂×#13133193	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. C₂²⋊Q₈×D₅₃	C₂²	semidirect
256. C₂²⋊Q₈×D₅₃	C₂²	semidirect
257. C₂²⋊Q₈×D₅₃	C₂²	semidirect
258. C₂²⋊Q₈×D₅₃	C₂²	semidirect
259. C₂²⋊Q₈×D₅₃	C₂²	semidirect
261. C₂×#13133192	C₂²	semidirect
263. #121×D₅₃	C₂²	semidirect
266. #16811105	C₂²	semidirect
267. #16811104	C₂²	semidirect
268. #16811103	C₂²	semidirect
269. #16811103	C₂²	semidirect
270. #16811103	C₂²	semidirect
271. #16811100	C₂²	semidirect
275. C₂×C₄×D₂₁₂	C₂²	semidirect
277. C₄×D₄×D₅₃	C₂²	semidirect
278. #117×D₅₃	C₂²	semidirect
279. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
280. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
282. C₅₃×#556	C₂²	semidirect
283. C₅₃×#554	C₂²	semidirect
284. C₅₃×#552	C₂²	semidirect
285. C₅₃×#552	C₂²	semidirect
286. C₅₃×#552	C₂²	semidirect
287. C₅₃×#551	C₂²	semidirect
288. C₅₃×#544	C₂²	semidirect
289. C₅₃×#542	C₂²	semidirect
290. C₅₃×#541	C₂²	semidirect
291. C₅₃×#536	C₂²	semidirect
292. C₅₃×#533	C₂²	semidirect
293. C₅₃×#529	C₂²	semidirect
295. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
296. C₅₃×#520	C₂²	semidirect
297. C₅₃×#519	C₂²	semidirect
298. C₂×#117×C₅₃	C₂²	semidirect
304. C₂×#11719949	C₂³	semidirect
305. C₂×#11719949	C₂³	semidirect
317. C₂×#11719945	C₂³	semidirect
321. C₂×#11719947	C₂³	semidirect
326. C₂²×Dic₁₀₆	C₂³	semidirect
333. C₂×Q₈×D₅₃	C₂³	semidirect
334. C₂×Q₈×D₅₃	C₂³	semidirect
335. C₂×Q₈×D₅₃	C₂³	semidirect
362. #13133217	C₂³	semidirect
363. #13133217	C₂³	semidirect
364. #13133217	C₂³	semidirect
365. #13133217	C₂³	semidirect
366. #13133217	C₂³	semidirect
367. #13133217	C₂³	semidirect
368. #13133216	C₂³	semidirect
369. #13133216	C₂³	semidirect
370. #13133216	C₂³	semidirect
371. #13133216	C₂³	semidirect
372. #13133216	C₂³	semidirect
373. #13133216	C₂³	semidirect
374. #13133215	C₂³	semidirect
378. #13133212	C₂³	semidirect
379. #13133212	C₂³	semidirect
380. #13133212	C₂³	semidirect
381. #13133212	C₂³	semidirect
382. #13133212	C₂³	semidirect
383. #13133212	C₂³	semidirect
385. #13133211	C₂³	semidirect
386. #13133211	C₂³	semidirect
387. #13133211	C₂³	semidirect
390. #13133210	C₂³	semidirect
391. #13133209	C₂³	semidirect
392. #13133209	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. #13133208	C₂³	semidirect
401. #13133207	C₂³	semidirect
402. #13133207	C₂³	semidirect
403. #13133207	C₂³	semidirect
404. #13133207	C₂³	semidirect
405. #13133207	C₂³	semidirect
407. #13133206	C₂³	semidirect
410. #13133205	C₂³	semidirect
411. #13133205	C₂³	semidirect
412. #13133205	C₂³	semidirect
413. #13133205	C₂³	semidirect
418. #13133203	C₂³	semidirect
419. #13133203	C₂³	semidirect
430. #13133202	C₂³	semidirect
431. #13133202	C₂³	semidirect
432. #13133202	C₂³	semidirect
433. #13133202	C₂³	semidirect
434. #13133202	C₂³	semidirect
435. #13133202	C₂³	semidirect
448. #13133201	C₂³	semidirect
449. #13133201	C₂³	semidirect
453. #13133200	C₂³	semidirect
460. #13133199	C₂³	semidirect
461. #13133199	C₂³	semidirect
462. #13133199	C₂³	semidirect
485. #13133197	C₂³	semidirect
486. #13133197	C₂³	semidirect
487. #13133197	C₂³	semidirect
488. #13133197	C₂³	semidirect
489. #13133197	C₂³	semidirect
490. #13133197	C₂³	semidirect
491. #13133197	C₂³	semidirect
492. #13133197	C₂³	semidirect
493. #13133197	C₂³	semidirect
494. #13133197	C₂³	semidirect
495. #13133197	C₂³	semidirect
496. #13133197	C₂³	semidirect
504. #13133196	C₂³	semidirect
505. #13133196	C₂³	semidirect
517. #13133195	C₂³	semidirect
518. #13133195	C₂³	semidirect
519. #13133195	C₂³	semidirect
520. #13133195	C₂³	semidirect
521. #13133195	C₂³	semidirect
522. #13133195	C₂³	semidirect
523. #13133195	C₂³	semidirect
524. #13133195	C₂³	semidirect
525. #13133195	C₂³	semidirect
535. #13133194	C₂³	semidirect
536. #13133194	C₂³	semidirect
537. #13133194	C₂³	semidirect
538. #13133194	C₂³	semidirect
547. #13133193	C₂³	semidirect
548. #13133193	C₂³	semidirect
549. #13133193	C₂³	semidirect
550. #13133193	C₂³	semidirect
551. #13133193	C₂³	semidirect
552. #13133193	C₂³	semidirect
572. #13133192	C₂³	semidirect
573. #13133192	C₂³	semidirect
574. #13133192	C₂³	semidirect
579. #13133191	C₂³	semidirect
580. #13133191	C₂³	semidirect
589. #13133190	C₂³	semidirect
590. #13133190	C₂³	semidirect
598. #13133188	C₂³	semidirect
618. Q₈×Dic₅₃	C₂³	semidirect
619. C₄×Dic₁₀₆	C₂³	semidirect
620. C₄×Dic₁₀₆	C₂³	semidirect
621. C₄×Dic₁₀₆	C₂³	semidirect
622. C₄×Dic₁₀₆	C₂³	semidirect
623. C₄×Dic₁₀₆	C₂³	semidirect
624. C₄×Dic₁₀₆	C₂³	semidirect
625. #13133182	C₂³	semidirect
626. #13133182	C₂³	semidirect
627. #13133182	C₂³	semidirect
653. C₄×D₂₁₂	C₂³	semidirect
654. C₄×D₂₁₂	C₂³	semidirect
655. C₄×D₂₁₂	C₂³	semidirect
667. #13133179	C₂³	semidirect
668. #13133179	C₂³	semidirect
685. #13133177	C₂³	semidirect
686. #13133177	C₂³	semidirect
693. #13133175	C₂³	semidirect
694. #13133175	C₂³	semidirect
695. #13133175	C₂³	semidirect
696. #13133175	C₂³	semidirect
700. #13133174	C₂³	semidirect
701. #13133174	C₂³	semidirect
708. C₂×C₄⋊Dic₅₃	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
728. C₄⋊C₄×D₅₃	C₂³	semidirect
729. C₄⋊C₄×D₅₃	C₂³	semidirect
754. C₄⋊Q₈×C₅₃	C₂³	semidirect
755. C₄⋊Q₈×C₅₃	C₂³	semidirect
756. C₄⋊Q₈×C₅₃	C₂³	semidirect
759. #126×C₅₃	C₂³	semidirect
760. #126×C₅₃	C₂³	semidirect
761. #125×C₅₃	C₂³	semidirect
762. #125×C₅₃	C₂³	semidirect
763. #125×C₅₃	C₂³	semidirect
764. #125×C₅₃	C₂³	semidirect
765. #125×C₅₃	C₂³	semidirect
767. #124×C₅₃	C₂³	semidirect
780. C₂²⋊Q₈×C₅₃	C₂³	semidirect
781. C₂²⋊Q₈×C₅₃	C₂³	semidirect
782. C₂²⋊Q₈×C₅₃	C₂³	semidirect
786. C₄×Q₈×C₅₃	C₂³	semidirect
787. C₄×Q₈×C₅₃	C₂³	semidirect
788. C₄×Q₈×C₅₃	C₂³	semidirect
789. C₄×Q₈×C₅₃	C₂³	semidirect
790. C₄×Q₈×C₅₃	C₂³	semidirect
791. C₄×Q₈×C₅₃	C₂³	semidirect
796. C₄×D₄×C₅₃	C₂³	semidirect
806. #117×C₅₃	C₂³	semidirect
807. #117×C₅₃	C₂³	semidirect
812. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
1172. C₂²×D₅₃	2₋¹⁺⁴	semidirect
1401. #3495	D₅₃	semidirect
1446. #556	C₂×D₅₃	semidirect
1462. #554	C₂×D₅₃	semidirect
1484. #552	C₂×D₅₃	semidirect
1485. #552	C₂×D₅₃	semidirect
1486. #552	C₂×D₅₃	semidirect
1498. #551	C₂×D₅₃	semidirect
1551. #544	C₂×D₅₃	semidirect
1562. #542	C₂×D₅₃	semidirect
1566. #541	C₂×D₅₃	semidirect
1601. #536	C₂×D₅₃	semidirect
1606. #533	C₂×D₅₃	semidirect
1610. #529	C₂×D₅₃	semidirect
1666. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1678. #520	C₂×D₅₃	semidirect
1680. #519	C₂×D₅₃	semidirect
1688. C₂×#117	C₂×D₅₃	semidirect
1692. C₅₃	#62819	semidirect
1772. C₄⋊Q₈	C₂²×D₅₃	semidirect
1773. C₄⋊Q₈	C₂²×D₅₃	semidirect
1774. C₄⋊Q₈	C₂²×D₅₃	semidirect
1793. #126	C₂²×D₅₃	semidirect
1794. #126	C₂²×D₅₃	semidirect
1810. #125	C₂²×D₅₃	semidirect
1811. #125	C₂²×D₅₃	semidirect
1812. #125	C₂²×D₅₃	semidirect
1813. #125	C₂²×D₅₃	semidirect
1814. #125	C₂²×D₅₃	semidirect
1830. #124	C₂²×D₅₃	semidirect
1976. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1977. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1978. C₂²⋊Q₈	C₂²×D₅₃	semidirect
2057. C₄×Q₈	C₂²×D₅₃	semidirect
2058. C₄×Q₈	C₂²×D₅₃	semidirect
2059. C₄×Q₈	C₂²×D₅₃	semidirect
2060. C₄×Q₈	C₂²×D₅₃	semidirect
2061. C₄×Q₈	C₂²×D₅₃	semidirect
2062. C₄×Q₈	C₂²×D₅₃	semidirect
2126. C₄×D₄	C₂²×D₅₃	semidirect
2153. #117	C₂²×D₅₃	semidirect
2154. #117	C₂²×D₅₃	semidirect
2185. 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
#20289015	2
#20289014	2
#20289011	2
#20289004	2
#20288963	2
#20288961	2
#20288943	2
#20288940	2
#20288927	2
#20288920	2
#20288766	2
#20288763	2
#20288761	2
#20288759	2
#20288555	2
#20288550	2
#20288516	2
#20288512	2
#20288470	2
#20288467	2
#20288457	2
#20288425	2
#20288418	2
#20288415	2
#20288399	2
#20288396	2
#20288393	2
#20288391	2
#20288387	2
#20288367	2
#20288364	2
C₂×#16811135	2
#525×D₅₃	2
C₂×C₂²⋊Q₈×D₅₃	2
C₅₃×#3495	2
#62819	53