Subgroups — #28329154

Order 13568.

2224 conjugacy classes of subgroups.

The subgroup lattice has 2118 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291257	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291256	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291255	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291253	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291251	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291251	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291250	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291247	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291243	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291242	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291241	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291240	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291239	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291238	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291238	C₂	1	1	yes	maximal, characteristic, complemented
16	#20291214	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291214	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291212	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291211	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291209	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291208	C₂	1	1	yes	maximal, characteristic, complemented
22	#20291205	C₂	1	1	yes	maximal, characteristic, complemented
23	#20291205	C₂	1	1	yes	maximal, characteristic, complemented
24	#20291204	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291203	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291202	C₂	1	1	yes	maximal, characteristic, complemented
27	#20291201	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂²⋊Q₈×#6157	C₂	1	1	yes	maximal, characteristic, complemented
29	#123×#6157	C₂	1	1	yes	maximal, characteristic, complemented
30	#121×#6157	C₂	1	1	yes	maximal, characteristic, complemented
31	#562×D₅₃	C₂	1	1	yes	maximal, characteristic
32	C₂×Q₈×#6157	C₂²	1	1	yes	characteristic
33	C₂×Q₈×#6157	C₂²	1	1	yes	characteristic
34	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
35	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
36	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
37	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
38	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
39	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
40	C₂×#13133296	C₂²	1	1	yes	characteristic
41	C₂×#13133296	C₂²	1	1	yes	characteristic
42	C₂²×C₄⋊#6157	C₂²	1	1	yes	characteristic
43	C₂²×C₄×#6157	C₂²	1	1	yes	characteristic
44	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
45	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
46	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
47	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
48	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
49	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
50	#16811575	C₂²	1	1	yes	characteristic
51	#16811575	C₂²	1	1	yes	characteristic
52	#16811575	C₂²	1	1	yes	characteristic
53	#16811575	C₂²	1	1	yes	characteristic
54	#16811575	C₂²	1	1	yes	characteristic
55	#16811575	C₂²	1	1	yes	characteristic
56	#16811574	C₂²	1	1	yes	characteristic
57	#16811574	C₂²	1	1	yes	characteristic
58	#16811574	C₂²	1	1	yes	characteristic
59	#16811574	C₂²	1	1	yes	characteristic
60	#16811574	C₂²	1	1	yes	characteristic
61	#16811574	C₂²	1	1	yes	characteristic
62	#16811574	C₂²	1	1	yes	characteristic
63	#16811574	C₂²	1	1	yes	characteristic
64	#16811574	C₂²	1	1	yes	characteristic
65	#16811574	C₂²	1	1	yes	characteristic
66	#16811573	C₂²	1	1	yes	characteristic
67	#16811573	C₂²	1	1	yes	characteristic
68	#16811573	C₂²	1	1	yes	characteristic
69	#16811573	C₂²	1	1	yes	characteristic
70	#16811573	C₂²	1	1	yes	characteristic
71	#16811573	C₂²	1	1	yes	characteristic
72	#16811573	C₂²	1	1	yes	characteristic
73	#16811573	C₂²	1	1	yes	characteristic
74	#16811573	C₂²	1	1	yes	characteristic
75	#16811573	C₂²	1	1	yes	characteristic
76	#16811573	C₂²	1	1	yes	characteristic
77	#16811573	C₂²	1	1	yes	characteristic
78	#16811573	C₂²	1	1	yes	characteristic
79	#16811573	C₂²	1	1	yes	characteristic
80	#16811573	C₂²	1	1	yes	characteristic
81	#16811573	C₂²	1	1	yes	characteristic
82	#16811573	C₂²	1	1	yes	characteristic
83	#16811573	C₂²	1	1	yes	characteristic
84	#16811573	C₂²	1	1	yes	characteristic
85	#16811573	C₂²	1	1	yes	characteristic
86	#16811573	C₂²	1	1	yes	characteristic
87	#16811573	C₂²	1	1	yes	characteristic
88	#16811573	C₂²	1	1	yes	characteristic
89	#16811573	C₂²	1	1	yes	characteristic
90	#16811572	C₂²	1	1	yes	characteristic
91	#16811572	C₂²	1	1	yes	characteristic
92	#16811572	C₂²	1	1	yes	characteristic
93	#16811572	C₂²	1	1	yes	characteristic
94	#16811572	C₂²	1	1	yes	characteristic
95	#16811572	C₂²	1	1	yes	characteristic
96	#16811572	C₂²	1	1	yes	characteristic
97	#16811572	C₂²	1	1	yes	characteristic
98	#16811572	C₂²	1	1	yes	characteristic
99	#16811572	C₂²	1	1	yes	characteristic
100	#16811572	C₂²	1	1	yes	characteristic
101	#16811572	C₂²	1	1	yes	characteristic
102	#16811572	C₂²	1	1	yes	characteristic
103	#16811572	C₂²	1	1	yes	characteristic
104	#16811572	C₂²	1	1	yes	characteristic
105	#16811572	C₂²	1	1	yes	characteristic
106	#16811572	C₂²	1	1	yes	characteristic
107	#16811572	C₂²	1	1	yes	characteristic
108	#16811572	C₂²	1	1	yes	characteristic
109	#16811572	C₂²	1	1	yes	characteristic
110	#16811571	C₂²	1	1	yes	characteristic
111	#16811571	C₂²	1	1	yes	characteristic
112	#16811571	C₂²	1	1	yes	characteristic
113	#16811571	C₂²	1	1	yes	characteristic
114	#16811571	C₂²	1	1	yes	characteristic
115	#16811571	C₂²	1	1	yes	characteristic
116	#16811571	C₂²	1	1	yes	characteristic
117	#16811571	C₂²	1	1	yes	characteristic
118	#16811571	C₂²	1	1	yes	characteristic
119	#16811571	C₂²	1	1	yes	characteristic
120	#16811571	C₂²	1	1	yes	characteristic
121	#16811571	C₂²	1	1	yes	characteristic
122	#16811570	C₂²	1	1	yes	characteristic
123	#16811570	C₂²	1	1	yes	characteristic
124	#16811570	C₂²	1	1	yes	characteristic
125	#16811570	C₂²	1	1	yes	characteristic
126	#16811570	C₂²	1	1	yes	characteristic
127	#16811570	C₂²	1	1	yes	characteristic
128	#16811570	C₂²	1	1	yes	characteristic
129	#16811570	C₂²	1	1	yes	characteristic
130	#16811570	C₂²	1	1	yes	characteristic
131	#16811570	C₂²	1	1	yes	characteristic
132	#16811570	C₂²	1	1	yes	characteristic
133	#16811570	C₂²	1	1	yes	characteristic
134	#16811569	C₂²	1	1	yes	characteristic
135	#16811566	C₂²	1	1	yes	characteristic
136	#16811566	C₂²	1	1	yes	characteristic
137	#16811565	C₂²	1	1	yes	characteristic
138	#16811565	C₂²	1	1	yes	characteristic
139	#16811565	C₂²	1	1	yes	characteristic
140	#16811565	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
149	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
150	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
151	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
152	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
153	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
155	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
161	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
162	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
167	#16811559	C₂²	1	1	yes	characteristic
168	#16811559	C₂²	1	1	yes	characteristic
169	#16811559	C₂²	1	1	yes	characteristic
170	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
171	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
172	#16811371	C₄	1	1	yes	characteristic, complemented
173	#16811370	C₄	1	1	yes	characteristic, complemented
174	#16811370	C₄	1	1	yes	characteristic, complemented
175	#16811370	C₄	1	1	yes	characteristic, complemented
176	#16811370	C₄	1	1	yes	characteristic, complemented
177	#16811369	C₄	1	1	yes	characteristic, complemented
178	#16811369	C₄	1	1	yes	characteristic, complemented
179	#16811369	C₄	1	1	yes	characteristic, complemented
180	#16811369	C₄	1	1	yes	characteristic, complemented
181	#16811368	C₄	1	1	yes	characteristic, complemented
182	#16811368	C₄	1	1	yes	characteristic, complemented
183	#16811368	C₄	1	1	yes	characteristic, complemented
184	#16811368	C₄	1	1	yes	characteristic, complemented
185	#16811367	C₄	1	1	yes	characteristic, complemented
186	#16811367	C₄	1	1	yes	characteristic, complemented
187	#125×D₅₃	C₂²	1	1	yes	characteristic
188	#124×D₅₃	C₂²	1	1	yes	characteristic
189	#124×D₅₃	C₂²	1	1	yes	characteristic
190	#123×D₅₃	C₂²	1	1	yes	characteristic
191	#123×D₅₃	C₂²	1	1	yes	characteristic
192	#123×D₅₃	C₂²	1	1	yes	characteristic
193	#123×D₅₃	C₂²	1	1	yes	characteristic
194	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
195	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
196	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
197	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
198	#121×D₅₃	C₂²	1	1	yes	characteristic
199	#121×D₅₃	C₂²	1	1	yes	characteristic
200	#121×D₅₃	C₂²	1	1	yes	characteristic
201	#121×D₅₃	C₂²	1	1	yes	characteristic
202	C₅₃×#562	C₄	1	1	yes	characteristic, complemented
203	C₂³×#6157	C₂³	1	1	yes	characteristic
204	C₂³×#6157	C₂³	1	1	yes	characteristic
205	C₂³×#6157	C₂³	1	1	yes	characteristic
206	C₂³×#6157	C₂³	1	1	yes	characteristic
207	C₂³×#6157	C₂³	1	1	yes	characteristic
208	C₂³×#6157	C₂³	1	1	yes	characteristic
209	C₂³×#6157	C₂³	1	1	yes	characteristic
210	C₂³×#6157	C₂³	1	1	yes	characteristic
211	Q₈×#6157	—	4	2	no	—
212	Q₈×#6157	—	4	2	no	—
213	D₄×#6157	—	4	2	no	—
214	D₄×#6157	—	4	2	no	—
215	D₄×#6157	—	4	2	no	—
216	D₄×#6157	—	4	2	no	—
217	D₄×#6157	—	4	2	no	—
218	D₄×#6157	—	4	2	no	—
219	#13133296	—	4	2	no	—
220	#13133296	—	4	2	no	—
221	C₂×C₄⋊#6157	—	4	2	no	—
222	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
268	C₂×C₄×#6157	—	4	2	no	—
269	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
270	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
271	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
272	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
273	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
274	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
275	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
276	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
277	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
278	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
279	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
280	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
281	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
282	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
283	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
284	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
285	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
286	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
287	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
288	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
289	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
290	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
291	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
292	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
293	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
294	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
295	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
318	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
319	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
320	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
321	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
322	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
323	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
324	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
325	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
326	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
327	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
328	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
329	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
330	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
331	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
332	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
333	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
334	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
336	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
337	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
338	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
339	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
340	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
341	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
342	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
343	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
344	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
345	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
346	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
347	#13133209	C₂×C₄	1	1	yes	characteristic, complemented
348	#13133208	C₂×C₄	1	1	yes	characteristic, complemented
349	#13133208	C₂×C₄	1	1	yes	characteristic, complemented
350	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
351	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
352	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
353	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
354	#13133206	C₂×C₄	1	1	yes	characteristic, complemented
355	#13133206	C₂×C₄	1	1	yes	characteristic, complemented
356	#13133205	C₂×C₄	1	1	yes	characteristic, complemented
357	#13133205	C₂×C₄	1	1	yes	characteristic, complemented
358	#13133204	C₂×C₄	1	1	yes	characteristic, complemented
359	#13133204	C₂×C₄	1	1	yes	characteristic, complemented
360	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
361	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
362	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
363	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
364	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
365	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
366	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
367	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
368	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
369	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
370	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
371	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
372	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
373	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
374	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
375	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
376	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
377	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
378	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
379	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
380	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
381	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
382	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
383	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
384	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
385	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
386	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
387	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
388	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
389	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
390	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
391	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
392	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
393	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
394	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
395	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
396	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
397	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
398	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
399	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
400	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
401	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
402	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
403	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
404	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
405	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
406	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
407	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
408	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
409	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
410	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
411	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
412	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
413	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
414	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
415	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
416	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
417	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
418	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
419	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
420	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
421	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
422	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
423	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
424	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
425	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
426	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
427	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
428	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
429	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
430	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
431	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
432	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
433	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
434	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
435	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
436	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
437	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
438	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
439	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
440	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
441	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
442	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
443	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
444	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
445	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
446	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
447	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
448	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
449	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
450	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
451	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
452	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
453	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
454	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
455	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
456	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
457	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
458	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
459	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
460	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
461	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
462	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
463	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
464	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
465	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
466	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
467	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
468	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
469	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
470	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
471	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
472	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
473	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
474	C₄²×D₅₃	C₂³	1	1	yes	characteristic
475	#125×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
476	#124×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
477	#124×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
478	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
479	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
480	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
481	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
482	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
483	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
484	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
485	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
486	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
487	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
488	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
489	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
490	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
491	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
492	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
493	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
494	C₂²×#6157	—	2	2	no	—
495	C₂²×#6157	—	2	2	no	—
496	C₂²×#6157	—	2	2	no	—
497	C₂²×#6157	—	2	2	no	—
498	C₂²×#6157	—	2	2	no	—
499	C₂²×#6157	—	2	2	no	—
500	C₂²×#6157	—	4	1	no	—
501	C₂²×#6157	—	4	1	no	—
502	C₂²×#6157	—	4	1	no	—
503	C₂²×#6157	—	4	1	no	—
504	C₂²×#6157	—	4	1	no	—
505	C₂²×#6157	—	4	1	no	—
506	C₂²×#6157	—	4	1	no	—
507	C₂²×#6157	—	4	1	no	—
508	C₂²×#6157	—	4	1	no	—
509	C₂²×#6157	—	4	1	no	—
510	C₂²×#6157	—	4	1	no	—
511	C₂²×#6157	—	4	1	no	—
512	C₂²×#6157	—	4	1	no	—
513	C₂²×#6157	—	4	1	no	—
514	C₂²×#6157	—	4	1	no	—
515	C₂²×#6157	—	4	1	no	—
516	C₂²×#6157	—	4	1	no	—
517	C₂²×#6157	—	4	1	no	—
518	C₂²×#6157	C₂⁴	1	1	yes	characteristic
519	C₂²×#6157	C₂⁴	1	1	yes	characteristic
520	C₂²×#6157	C₂⁴	1	1	yes	characteristic
521	C₂²×#6157	C₂⁴	1	1	yes	characteristic
522	C₂²×#6157	C₂⁴	1	1	yes	characteristic
523	C₂²×#6157	C₂⁴	1	1	yes	characteristic
524	C₂²×#6157	C₂⁴	1	1	yes	characteristic
525	C₂²×#6157	C₂⁴	1	1	yes	characteristic
526	C₂²×#6157	C₂⁴	1	1	yes	characteristic
527	C₂²×#6157	C₂⁴	1	1	yes	characteristic
528	C₂²×#6157	C₂⁴	1	1	yes	characteristic
529	C₂²×#6157	C₂⁴	1	1	yes	characteristic
530	C₂²×#6157	C₂⁴	1	1	yes	characteristic
531	C₂²×#6157	C₂⁴	1	1	yes	characteristic
532	C₂²×#6157	C₂⁴	1	1	yes	characteristic
533	C₂²×#6157	C₂⁴	1	1	yes	characteristic
534	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
535	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
536	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
537	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
538	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
539	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
540	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
541	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
542	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
543	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
544	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
545	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
546	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
548	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
549	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
550	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
551	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
552	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
554	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
558	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
559	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
560	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
561	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
562	Q₈×D₅₃	—	4	1	no	—
563	Q₈×D₅₃	—	4	1	no	—
564	Q₈×D₅₃	—	4	1	no	—
565	Q₈×D₅₃	—	4	1	no	—
566	D₄×D₅₃	—	4	1	no	—
567	D₄×D₅₃	—	4	1	no	—
568	D₄×D₅₃	—	4	1	no	—
569	D₄×D₅₃	—	4	1	no	—
570	D₄×D₅₃	—	4	1	no	—
571	D₄×D₅₃	—	4	1	no	—
572	D₄×D₅₃	—	4	1	no	—
573	D₄×D₅₃	—	4	1	no	—
574	D₄×D₅₃	—	4	1	no	—
575	D₄×D₅₃	—	4	1	no	—
576	D₄×D₅₃	—	4	1	no	—
577	D₄×D₅₃	—	4	1	no	—
578	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
579	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
580	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
581	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
582	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
583	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
584	C₂×C₄×D₅₃	—	4	1	no	—
585	C₂×C₄×D₅₃	—	4	1	no	—
586	C₂×C₄×D₅₃	—	4	1	no	—
587	C₂×C₄×D₅₃	—	4	1	no	—
588	C₂×C₄×D₅₃	—	4	1	no	—
589	C₂×C₄×D₅₃	—	4	1	no	—
590	C₂×C₄×D₅₃	—	4	1	no	—
591	C₂×C₄×D₅₃	—	4	1	no	—
592	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
593	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
594	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
595	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
596	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
597	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
598	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
599	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
600	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
601	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
602	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
603	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
605	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
606	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
607	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
608	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
610	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
611	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
612	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
613	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
614	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
615	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
616	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
617	C₂²⋊#6157	—	2	2	no	—
618	C₂²⋊#6157	—	2	2	no	—
619	C₂²⋊#6157	—	2	2	no	—
620	C₂²⋊#6157	—	2	2	no	—
621	C₂²⋊#6157	—	2	2	no	—
622	C₂²⋊#6157	—	2	2	no	—
623	C₂²⋊#6157	—	4	1	no	—
624	C₂²⋊#6157	—	4	1	no	—
625	C₂²⋊#6157	—	4	1	no	—
626	C₂²⋊#6157	—	4	1	no	—
627	C₂²⋊#6157	—	4	1	no	—
628	C₂²⋊#6157	—	4	1	no	—
629	C₂²⋊#6157	—	4	1	no	—
630	C₂²⋊#6157	—	4	1	no	—
631	C₂²⋊#6157	—	4	1	no	—
632	C₂²⋊#6157	—	4	1	no	—
633	C₂²⋊#6157	—	4	1	no	—
634	C₂²⋊#6157	—	4	1	no	—
635	C₂²⋊#6157	—	4	1	no	—
636	C₂²⋊#6157	—	4	1	no	—
637	C₂²⋊#6157	—	4	1	no	—
638	C₂²⋊#6157	—	4	1	no	—
639	C₂²⋊#6157	—	4	1	no	—
640	C₂²⋊#6157	—	4	1	no	—
641	C₄⋊#6157	—	2	2	no	—
642	C₄⋊#6157	—	2	2	no	—
643	C₄⋊#6157	—	2	2	no	—
644	C₄⋊#6157	—	2	2	no	—
645	C₄⋊#6157	—	4	1	no	—
646	C₄⋊#6157	—	4	1	no	—
647	C₄⋊#6157	—	4	1	no	—
648	C₄⋊#6157	—	4	1	no	—
649	C₄⋊#6157	—	4	1	no	—
650	C₄⋊#6157	—	4	1	no	—
651	C₄⋊#6157	—	4	1	no	—
652	C₄⋊#6157	—	4	1	no	—
653	C₄⋊#6157	—	4	1	no	—
654	C₄⋊#6157	—	4	1	no	—
655	C₄⋊#6157	—	4	1	no	—
656	C₄⋊#6157	—	4	1	no	—
657	C₄⋊#6157	—	4	1	no	—
658	C₄⋊#6157	—	4	1	no	—
659	C₄⋊#6157	—	4	1	no	—
660	C₄⋊#6157	—	4	1	no	—
661	C₄⋊#6157	—	4	1	no	—
662	C₄⋊#6157	—	4	1	no	—
663	C₄×#6157	—	2	2	no	—
664	C₄×#6157	—	2	2	no	—
665	C₄×#6157	—	2	2	no	—
666	C₄×#6157	—	2	2	no	—
667	C₄×#6157	—	2	2	no	—
668	C₄×#6157	—	2	2	no	—
669	C₄×#6157	—	2	2	no	—
670	C₄×#6157	—	4	1	no	—
671	C₄×#6157	—	4	1	no	—
672	C₄×#6157	—	4	1	no	—
673	C₄×#6157	—	4	1	no	—
674	C₄×#6157	—	4	1	no	—
675	C₄×#6157	—	4	1	no	—
676	C₄×#6157	—	4	1	no	—
677	C₄×#6157	—	4	1	no	—
678	C₄×#6157	—	4	1	no	—
679	C₄×#6157	—	4	1	no	—
680	C₄×#6157	—	4	1	no	—
681	C₄×#6157	—	4	1	no	—
682	C₄×#6157	—	4	1	no	—
683	C₄×#6157	—	4	1	no	—
684	C₄×#6157	—	4	1	no	—
685	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
686	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
687	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
688	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
689	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
690	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
691	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
692	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
693	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
694	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
695	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
696	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
697	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
698	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
699	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
700	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
701	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
702	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
703	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
704	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
705	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
706	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
707	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
708	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
709	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
710	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
711	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
712	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
713	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
714	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
715	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
716	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
717	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
718	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
719	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
720	#11719921	C₂²×C₄	1	1	yes	characteristic
721	#11719921	C₂²×C₄	1	1	yes	characteristic
722	#11719921	C₂²×C₄	1	1	yes	characteristic
723	#11719921	C₂²×C₄	1	1	yes	characteristic
724	#11719921	C₂²×C₄	1	1	yes	characteristic
725	#11719921	C₂²×C₄	1	1	yes	characteristic
726	#11719921	C₂²×C₄	1	1	yes	characteristic
727	#11719921	C₂²×C₄	1	1	yes	characteristic
728	#11719921	C₂²×C₄	1	1	yes	characteristic
729	#11719921	C₂²×C₄	1	1	yes	characteristic
730	#11719921	C₂²×C₄	1	1	yes	characteristic
731	#11719921	C₂²×C₄	1	1	yes	characteristic
732	#11719921	C₂²×C₄	1	1	yes	characteristic
733	#11719921	C₂²×C₄	1	1	yes	characteristic
734	#11719921	C₂²×C₄	1	1	yes	characteristic
735	#11719921	C₂²×C₄	1	1	yes	characteristic
736	#11719921	C₂²×C₄	1	1	yes	characteristic
737	#11719921	C₂²×C₄	1	1	yes	characteristic
738	#11719921	C₂²×C₄	1	1	yes	characteristic
739	#11719921	C₂²×C₄	1	1	yes	characteristic
740	#11719921	C₂²×C₄	1	1	yes	characteristic
741	#11719921	C₂²×C₄	1	1	yes	characteristic
742	#11719921	C₂²×C₄	1	1	yes	characteristic
743	#11719921	C₂²×C₄	1	1	yes	characteristic
744	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
745	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
746	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
747	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
748	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
749	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
750	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
751	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
752	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
753	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
754	#11719919	C₂²×C₄	1	1	yes	characteristic
755	#11719919	C₂²×C₄	1	1	yes	characteristic
756	#11719919	C₂²×C₄	1	1	yes	characteristic
757	#11719919	C₂²×C₄	1	1	yes	characteristic
758	#11719919	C₂²×C₄	1	1	yes	characteristic
759	#11719919	C₂²×C₄	1	1	yes	characteristic
760	#11719919	C₂²×C₄	1	1	yes	characteristic
761	#11719919	C₂²×C₄	1	1	yes	characteristic
762	#11719919	C₂²×C₄	1	1	yes	characteristic
763	#11719919	C₂²×C₄	1	1	yes	characteristic
764	#11719919	C₂²×C₄	1	1	yes	characteristic
765	#11719919	C₂²×C₄	1	1	yes	characteristic
766	#11719919	C₂²×C₄	1	1	yes	characteristic
767	#11719919	C₂²×C₄	1	1	yes	characteristic
768	#11719919	C₂²×C₄	1	1	yes	characteristic
769	#11719919	C₂²×C₄	1	1	yes	characteristic
770	#11719919	C₂²×C₄	1	1	yes	characteristic
771	#11719919	C₂²×C₄	1	1	yes	characteristic
772	#11719919	C₂²×C₄	1	1	yes	characteristic
773	#11719919	C₂²×C₄	1	1	yes	characteristic
774	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
775	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
776	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
777	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
778	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
779	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
780	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
781	C₂²×D₅₃	—	2	1	no	—
782	C₂²×D₅₃	—	2	1	no	—
783	C₂²×D₅₃	—	2	1	no	—
784	C₂²×D₅₃	—	2	1	no	—
785	C₂²×D₅₃	—	2	1	no	—
786	C₂²×D₅₃	—	2	1	no	—
787	C₂²×D₅₃	—	2	1	no	—
788	C₂²×D₅₃	—	2	1	no	—
789	C₂²×D₅₃	—	2	1	no	—
790	C₂²×D₅₃	—	2	1	no	—
791	C₂²×D₅₃	—	2	1	no	—
792	C₂²×D₅₃	—	2	1	no	—
793	C₂²×D₅₃	—	2	1	no	—
794	C₂²×D₅₃	—	2	1	no	—
795	C₂²×D₅₃	—	2	1	no	—
796	C₂²×D₅₃	—	2	1	no	—
797	C₂²×D₅₃	—	2	1	no	—
798	C₂²×D₅₃	—	2	1	no	—
799	C₂²×D₅₃	—	2	1	no	—
800	C₂²×D₅₃	—	2	1	no	—
801	C₂²×D₅₃	—	2	1	no	—
802	C₂²×D₅₃	—	2	1	no	—
803	C₂²×D₅₃	—	2	1	no	—
804	C₂²×D₅₃	—	2	1	no	—
805	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
806	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
807	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
808	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
809	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
810	C₂×#6157	—	2	1	no	—
811	C₂×#6157	—	2	1	no	—
812	C₂×#6157	—	2	1	no	—
813	C₂×#6157	—	2	1	no	—
814	C₂×#6157	—	2	1	no	—
815	C₂×#6157	—	2	1	no	—
816	C₂×#6157	—	2	1	no	—
817	C₂×#6157	—	2	1	no	—
818	C₂×#6157	—	2	1	no	—
819	C₂×#6157	—	2	1	no	—
820	C₂×#6157	—	2	1	no	—
821	C₂×#6157	—	2	1	no	—
822	C₂×#6157	—	2	1	no	—
823	C₂×#6157	—	2	1	no	—
824	C₂×#6157	—	2	1	no	—
825	C₂×#6157	—	2	1	no	—
826	C₂×#6157	—	2	1	no	—
827	C₂×#6157	—	2	1	no	—
828	C₂×#6157	—	2	1	no	—
829	C₂×#6157	—	2	1	no	—
830	C₂×#6157	—	2	1	no	—
831	C₂×#6157	—	2	1	no	—
832	C₂×#6157	—	2	1	no	—
833	C₂×#6157	—	2	1	no	—
834	C₂×#6157	—	2	1	no	—
835	C₂×#6157	—	2	1	no	—
836	C₂×#6157	—	2	1	no	—
837	C₂×#6157	—	2	1	no	—
838	C₂×#6157	—	2	1	no	—
839	C₂×#6157	—	2	1	no	—
840	C₂×#6157	—	2	1	no	—
841	C₂×#6157	—	2	1	no	—
842	C₂×#6157	—	2	1	no	—
843	C₂×#6157	—	2	1	no	—
844	C₂×#6157	—	2	1	no	—
845	C₂×#6157	—	2	1	no	—
846	C₂×#6157	—	2	1	no	—
847	C₂×#6157	—	2	1	no	—
848	C₂×#6157	—	2	1	no	—
849	C₂×#6157	—	2	1	no	—
850	C₂×#6157	—	2	1	no	—
851	C₂×#6157	—	2	1	no	—
852	C₂×#6157	—	2	1	no	—
853	C₂×#6157	—	2	1	no	—
854	C₂×#6157	—	2	1	no	—
855	C₂×#6157	—	4	4	no	—
856	C₂×#6157	—	4	4	no	—
857	C₂×#6157	—	8	2	no	—
858	C₂×#6157	—	8	2	no	—
859	C₂×#6157	—	8	2	no	—
860	C₂×#6157	—	8	2	no	—
861	C₂×#6157	—	8	2	no	—
862	C₂×#6157	—	8	2	no	—
863	C₂×#6157	H(5,𝔽₂)	1	2	yes	—
864	C₂×#6157	H(5,𝔽₂)	1	2	yes	—
865	C₂×#6157	2₋¹⁺⁴	1	2	yes	—
866	Q₈×C₅₃	—	4	1	no	—
867	Q₈×C₅₃	—	4	1	no	—
868	D₄×C₅₃	—	4	1	no	—
869	D₄×C₅₃	—	4	1	no	—
870	D₄×C₅₃	—	4	1	no	—
871	D₄×C₅₃	—	4	1	no	—
872	D₄×C₅₃	—	4	1	no	—
873	D₄×C₅₃	—	4	1	no	—
874	C₂×C₄×C₅₃	—	4	1	no	—
875	C₂×C₄×C₅₃	—	4	1	no	—
876	C₂×C₄×C₅₃	—	4	1	no	—
877	C₂×C₄×C₅₃	—	4	1	no	—
878	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
879	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
880	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
881	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
882	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
883	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
884	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
885	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
886	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
887	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
888	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
889	C₂²⋊D₅₃	—	4	1	no	—
890	C₂²⋊D₅₃	—	4	1	no	—
891	C₂²⋊D₅₃	—	4	1	no	—
892	C₂²⋊D₅₃	—	4	1	no	—
893	C₂²⋊D₅₃	—	4	1	no	—
894	C₂²⋊D₅₃	—	4	1	no	—
895	C₂²⋊D₅₃	—	4	1	no	—
896	C₂²⋊D₅₃	—	4	1	no	—
897	C₂²⋊D₅₃	—	4	1	no	—
898	C₂²⋊D₅₃	—	4	1	no	—
899	C₂²⋊D₅₃	—	4	1	no	—
900	C₂²⋊D₅₃	—	4	1	no	—
901	C₂×Dic₅₃	—	4	1	no	—
902	C₂×Dic₅₃	—	4	1	no	—
903	C₂×Dic₅₃	—	4	1	no	—
904	C₂×Dic₅₃	—	4	1	no	—
905	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
906	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
907	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
908	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
909	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
910	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
911	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
912	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
913	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
914	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
915	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
916	D₂₁₂	—	4	1	no	—
917	D₂₁₂	—	4	1	no	—
918	D₂₁₂	—	4	1	no	—
919	D₂₁₂	—	4	1	no	—
920	D₂₁₂	—	4	1	no	—
921	D₂₁₂	—	4	1	no	—
922	C₄×D₅₃	—	2	1	no	—
923	C₄×D₅₃	—	2	1	no	—
924	C₄×D₅₃	—	2	1	no	—
925	C₄×D₅₃	—	2	1	no	—
926	C₄×D₅₃	—	2	1	no	—
927	C₄×D₅₃	—	2	1	no	—
928	C₄×D₅₃	—	2	1	no	—
929	C₄×D₅₃	—	2	1	no	—
930	C₄×D₅₃	—	2	1	no	—
931	C₄×D₅₃	—	2	1	no	—
932	C₄×D₅₃	—	2	1	no	—
933	C₄×D₅₃	—	2	1	no	—
934	C₄×D₅₃	—	2	1	no	—
935	C₄×D₅₃	—	2	1	no	—
936	C₄×D₅₃	—	2	1	no	—
937	C₄×D₅₃	—	2	1	no	—
938	C₄×D₅₃	—	2	1	no	—
939	C₄×D₅₃	—	2	1	no	—
940	C₄×D₅₃	—	2	1	no	—
941	C₄×D₅₃	—	2	1	no	—
942	C₄×D₅₃	—	2	1	no	—
943	C₄×D₅₃	—	2	1	no	—
944	C₄×D₅₃	—	4	1	no	—
945	C₄×D₅₃	—	4	1	no	—
946	C₄×D₅₃	—	4	1	no	—
947	C₄×D₅₃	—	4	1	no	—
948	C₄×D₅₃	—	4	1	no	—
949	C₄×D₅₃	—	4	1	no	—
950	C₄×D₅₃	—	4	1	no	—
951	C₄×D₅₃	—	4	1	no	—
952	Dic₁₀₆	—	4	1	no	—
953	Dic₁₀₆	—	4	1	no	—
954	Dic₁₀₆	—	4	1	no	—
955	Dic₁₀₆	—	4	1	no	—
956	Dic₁₀₆	—	4	1	no	—
957	Dic₁₀₆	—	4	1	no	—
958	#34519	—	53	1	no	maximal, Sylow
959	C₂²×C₅₃	—	2	1	no	—
960	C₂²×C₅₃	—	2	1	no	—
961	C₂²×C₅₃	—	2	1	no	—
962	C₂²×C₅₃	—	2	1	no	—
963	C₂²×C₅₃	—	2	1	no	—
964	C₂²×C₅₃	—	2	1	no	—
965	C₂²×C₅₃	—	2	1	no	—
966	C₂²×C₅₃	—	2	1	no	—
967	C₂²×C₅₃	—	2	1	no	—
968	C₂²×C₅₃	—	2	1	no	—
969	C₂²×C₅₃	—	2	1	no	—
970	C₂²×C₅₃	—	2	1	no	—
971	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
972	C₂×D₅₃	—	2	1	no	—
973	C₂×D₅₃	—	2	1	no	—
974	C₂×D₅₃	—	2	1	no	—
975	C₂×D₅₃	—	2	1	no	—
976	C₂×D₅₃	—	2	1	no	—
977	C₂×D₅₃	—	2	1	no	—
978	C₂×D₅₃	—	2	1	no	—
979	C₂×D₅₃	—	2	1	no	—
980	C₂×D₅₃	—	2	1	no	—
981	C₂×D₅₃	—	2	1	no	—
982	C₂×D₅₃	—	2	1	no	—
983	C₂×D₅₃	—	2	1	no	—
984	C₂×D₅₃	—	4	1	no	—
985	C₂×D₅₃	—	4	1	no	—
986	C₂×D₅₃	—	4	1	no	—
987	C₂×D₅₃	—	4	1	no	—
988	C₂×D₅₃	—	4	1	no	—
989	C₂×D₅₃	—	4	1	no	—
990	C₂×D₅₃	—	4	1	no	—
991	C₂×D₅₃	—	4	1	no	—
992	C₂×D₅₃	—	4	1	no	—
993	C₂×D₅₃	—	4	1	no	—
994	C₂×D₅₃	—	4	1	no	—
995	C₂×D₅₃	—	4	1	no	—
996	C₂×D₅₃	—	4	1	no	—
997	C₂×D₅₃	—	4	1	no	—
998	C₂×D₅₃	—	4	1	no	—
999	C₂×D₅₃	—	4	1	no	—
1000	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1001	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1002	C₂×D₅₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1003	C₂×D₅₃	#585	1	1	yes	characteristic
1004	C₂×D₅₃	#585	1	1	yes	characteristic
1005	C₂×D₅₃	#585	1	1	yes	characteristic
1006	#6157	—	2	2	no	—
1007	#6157	—	2	2	no	—
1008	#6157	—	2	2	no	—
1009	#6157	—	4	1	no	—
1010	#6157	—	4	1	no	—
1011	#6157	—	4	1	no	—
1012	#6157	—	4	1	no	—
1013	#6157	—	4	1	no	—
1014	#6157	—	4	1	no	—
1015	#6157	—	4	1	no	—
1016	#6157	—	4	1	no	—
1017	#6157	—	4	1	no	—
1018	#6157	—	4	1	no	—
1019	#6157	—	4	1	no	—
1020	#6157	—	4	1	no	—
1021	#6157	—	4	1	no	—
1022	C₄×C₅₃	—	2	1	no	—
1023	C₄×C₅₃	—	2	1	no	—
1024	C₄×C₅₃	—	2	1	no	—
1025	C₄×C₅₃	—	2	1	no	—
1026	C₄×C₅₃	—	2	1	no	—
1027	C₄×C₅₃	—	2	1	no	—
1028	C₄×C₅₃	—	2	1	no	—
1029	C₄×C₅₃	—	2	1	no	—
1030	C₄×C₅₃	—	2	1	no	—
1031	C₄×C₅₃	—	2	1	no	—
1032	C₄×C₅₃	—	2	1	no	—
1033	Dic₅₃	—	2	1	no	—
1034	Dic₅₃	—	2	1	no	—
1035	Dic₅₃	—	2	1	no	—
1036	Dic₅₃	—	2	1	no	—
1037	Dic₅₃	—	2	1	no	—
1038	Dic₅₃	—	2	1	no	—
1039	Dic₅₃	—	2	1	no	—
1040	Dic₅₃	—	2	1	no	—
1041	Dic₅₃	—	2	1	no	—
1042	Dic₅₃	—	2	1	no	—
1043	Dic₅₃	—	2	1	no	—
1044	C₂×#562	—	53	1	no	—
1045	#2378	—	53	1	no	—
1046	#2377	—	53	1	no	—
1047	#2376	—	53	1	no	—
1048	#2374	—	53	1	no	—
1049	#2372	—	53	1	no	—
1050	#2372	—	53	1	no	—
1051	#2371	—	53	1	no	—
1052	#2368	—	53	1	no	—
1053	#2364	—	53	1	no	—
1054	#2363	—	53	1	no	—
1055	#2362	—	53	1	no	—
1056	#2361	—	53	1	no	—
1057	#2360	—	53	1	no	—
1058	#2359	—	53	1	no	—
1059	#2359	—	53	1	no	—
1060	#2335	—	53	1	no	—
1061	#2335	—	53	1	no	—
1062	#2333	—	53	1	no	—
1063	#2332	—	53	1	no	—
1064	#2330	—	53	1	no	—
1065	#2329	—	53	1	no	—
1066	#2326	—	53	1	no	—
1067	#2326	—	53	1	no	—
1068	#2325	—	53	1	no	—
1069	#2324	—	53	1	no	—
1070	#2323	—	53	1	no	—
1071	#2322	—	53	1	no	—
1072	C₄×C₂²⋊Q₈	—	53	1	no	—
1073	C₄×#123	—	53	1	no	—
1074	C₄×#121	—	53	1	no	—
1075	C₂×C₅₃	—	4	1	no	—
1076	C₂×C₅₃	—	4	1	no	—
1077	C₂×C₅₃	—	4	1	no	—
1078	C₂×C₅₃	—	4	1	no	—
1079	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1080	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1081	C₂×C₅₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1082	D₅₃	—	4	1	no	—
1083	D₅₃	—	4	1	no	—
1084	D₅₃	—	4	1	no	—
1085	D₅₃	—	4	1	no	—
1086	D₅₃	#3535	1	1	yes	characteristic
1087	D₅₃	#3542	1	1	yes	characteristic
1088	D₅₃	#3547	1	1	yes	characteristic
1089	D₅₃	#3566	1	1	yes	characteristic
1090	#562	—	53	1	no	—
1091	#562	—	53	1	no	—
1092	#562	—	53	1	no	—
1093	#562	—	53	1	no	—
1094	#562	—	53	1	no	—
1095	#562	—	53	1	no	—
1096	#562	—	53	1	no	—
1097	#562	—	53	1	no	—
1098	#562	—	53	1	no	—
1099	#562	—	53	1	no	—
1100	#562	—	53	1	no	—
1101	#562	—	53	1	no	—
1102	#562	—	53	1	no	—
1103	#562	—	53	1	no	—
1104	#562	—	53	1	no	—
1105	#562	#6157	1	1	yes	characteristic, complemented
1106	C₂×#125	—	53	1	no	—
1107	C₂×#124	—	53	1	no	—
1108	C₂×#124	—	53	1	no	—
1109	C₂×#123	—	53	1	no	—
1110	C₂×#123	—	53	1	no	—
1111	C₂×#123	—	53	1	no	—
1112	C₂×#123	—	53	1	no	—
1113	C₂×C₂²⋊Q₈	—	53	1	no	—
1114	C₂×C₂²⋊Q₈	—	53	1	no	—
1115	C₂×C₂²⋊Q₈	—	53	1	no	—
1116	C₂×C₂²⋊Q₈	—	53	1	no	—
1117	C₂×#121	—	53	1	no	—
1118	C₂×#121	—	53	1	no	—
1119	C₂×#121	—	53	1	no	—
1120	C₂×#121	—	53	1	no	—
1121	C₂×C₄×Q₈	—	53	1	no	—
1122	C₂×C₄×Q₈	—	53	1	no	—
1123	C₂×C₄×D₄	—	53	1	no	—
1124	C₂×C₄×D₄	—	53	1	no	—
1125	C₂×C₄×D₄	—	53	1	no	—
1126	C₂×C₄×D₄	—	53	1	no	—
1127	C₂×C₄×D₄	—	53	1	no	—
1128	C₂×C₄×D₄	—	53	1	no	—
1129	C₂×#117	—	53	1	no	—
1130	C₂×#117	—	53	1	no	—
1131	C₂²×C₄⋊C₄	—	53	1	no	—
1132	C₂²×C₄²	—	53	1	no	—
1133	#391	—	53	1	no	—
1134	#391	—	53	1	no	—
1135	#391	—	53	1	no	—
1136	#391	—	53	1	no	—
1137	#391	—	53	1	no	—
1138	#391	—	53	1	no	—
1139	#390	—	53	1	no	—
1140	#390	—	53	1	no	—
1141	#390	—	53	1	no	—
1142	#390	—	53	1	no	—
1143	#390	—	53	1	no	—
1144	#390	—	53	1	no	—
1145	#389	—	53	1	no	—
1146	#389	—	53	1	no	—
1147	#389	—	53	1	no	—
1148	#389	—	53	1	no	—
1149	#389	—	53	1	no	—
1150	#389	—	53	1	no	—
1151	#389	—	53	1	no	—
1152	#389	—	53	1	no	—
1153	#389	—	53	1	no	—
1154	#389	—	53	1	no	—
1155	#388	—	53	1	no	—
1156	#388	—	53	1	no	—
1157	#388	—	53	1	no	—
1158	#388	—	53	1	no	—
1159	#388	—	53	1	no	—
1160	#388	—	53	1	no	—
1161	#388	—	53	1	no	—
1162	#388	—	53	1	no	—
1163	#388	—	53	1	no	—
1164	#388	—	53	1	no	—
1165	#388	—	53	1	no	—
1166	#388	—	53	1	no	—
1167	#388	—	53	1	no	—
1168	#388	—	53	1	no	—
1169	#388	—	53	1	no	—
1170	#388	—	53	1	no	—
1171	#388	—	53	1	no	—
1172	#388	—	53	1	no	—
1173	#388	—	53	1	no	—
1174	#388	—	53	1	no	—
1175	#388	—	53	1	no	—
1176	#388	—	53	1	no	—
1177	#388	—	53	1	no	—
1178	#388	—	53	1	no	—
1179	#387	—	53	1	no	—
1180	#387	—	53	1	no	—
1181	#387	—	53	1	no	—
1182	#387	—	53	1	no	—
1183	#387	—	53	1	no	—
1184	#387	—	53	1	no	—
1185	#387	—	53	1	no	—
1186	#387	—	53	1	no	—
1187	#387	—	53	1	no	—
1188	#387	—	53	1	no	—
1189	#387	—	53	1	no	—
1190	#387	—	53	1	no	—
1191	#387	—	53	1	no	—
1192	#387	—	53	1	no	—
1193	#387	—	53	1	no	—
1194	#387	—	53	1	no	—
1195	#387	—	53	1	no	—
1196	#387	—	53	1	no	—
1197	#387	—	53	1	no	—
1198	#387	—	53	1	no	—
1199	#386	—	53	1	no	—
1200	#386	—	53	1	no	—
1201	#386	—	53	1	no	—
1202	#386	—	53	1	no	—
1203	#386	—	53	1	no	—
1204	#386	—	53	1	no	—
1205	#386	—	53	1	no	—
1206	#386	—	53	1	no	—
1207	#386	—	53	1	no	—
1208	#386	—	53	1	no	—
1209	#386	—	53	1	no	—
1210	#386	—	53	1	no	—
1211	#385	—	53	1	no	—
1212	#385	—	53	1	no	—
1213	#385	—	53	1	no	—
1214	#385	—	53	1	no	—
1215	#385	—	53	1	no	—
1216	#385	—	53	1	no	—
1217	#385	—	53	1	no	—
1218	#385	—	53	1	no	—
1219	#385	—	53	1	no	—
1220	#385	—	53	1	no	—
1221	#385	—	53	1	no	—
1222	#385	—	53	1	no	—
1223	#384	—	53	1	no	—
1224	#381	—	53	1	no	—
1225	#381	—	53	1	no	—
1226	#380	—	53	1	no	—
1227	#380	—	53	1	no	—
1228	#380	—	53	1	no	—
1229	#380	—	53	1	no	—
1230	C₄×C₄⋊C₄	—	53	1	no	—
1231	C₄×C₄⋊C₄	—	53	1	no	—
1232	C₄×C₄⋊C₄	—	53	1	no	—
1233	C₄×C₄⋊C₄	—	53	1	no	—
1234	C₄×C₄⋊C₄	—	53	1	no	—
1235	C₄×C₄⋊C₄	—	53	1	no	—
1236	C₄×C₄⋊C₄	—	53	1	no	—
1237	C₄×C₄⋊C₄	—	53	1	no	—
1238	C₄×C₄⋊C₄	—	53	1	no	—
1239	C₄×C₄⋊C₄	—	53	1	no	—
1240	C₄×C₂²⋊C₄	—	53	1	no	—
1241	C₄×C₂²⋊C₄	—	53	1	no	—
1242	C₄×C₂²⋊C₄	—	53	1	no	—
1243	C₄×C₂²⋊C₄	—	53	1	no	—
1244	C₄×C₂²⋊C₄	—	53	1	no	—
1245	C₄×C₂²⋊C₄	—	53	1	no	—
1246	C₄×C₂²⋊C₄	—	53	1	no	—
1247	C₄×C₂²⋊C₄	—	53	1	no	—
1248	C₄×C₂²⋊C₄	—	53	1	no	—
1249	C₄×C₂²⋊C₄	—	53	1	no	—
1250	C₄×C₂²⋊C₄	—	53	1	no	—
1251	C₄×C₂²⋊C₄	—	53	1	no	—
1252	C₄×C₂²⋊C₄	—	53	1	no	—
1253	C₄×C₂²⋊C₄	—	53	1	no	—
1254	C₄×C₂²⋊C₄	—	53	1	no	—
1255	C₄×C₂²⋊C₄	—	53	1	no	—
1256	#376	—	53	1	no	—
1257	#376	—	53	1	no	—
1258	#376	—	53	1	no	—
1259	C₂×#95	—	53	1	no	—
1260	C₂×#95	—	53	1	no	—
1261	C₅₃	#34519	1	1	yes	characteristic, complemented, Sylow
1262	C₂²×Q₈	—	53	1	no	—
1263	C₂²×Q₈	—	53	1	no	—
1264	C₂²×D₄	—	53	1	no	—
1265	C₂²×D₄	—	53	1	no	—
1266	C₂²×D₄	—	53	1	no	—
1267	C₂²×D₄	—	53	1	no	—
1268	C₂²×D₄	—	53	1	no	—
1269	C₂²×D₄	—	53	1	no	—
1270	C₂³×C₄	—	53	1	no	—
1271	C₂³×C₄	—	53	1	no	—
1272	C₂³×C₄	—	53	1	no	—
1273	C₂³×C₄	—	53	1	no	—
1274	C₂³×C₄	—	53	1	no	—
1275	C₂³×C₄	—	53	1	no	—
1276	C₂³×C₄	—	53	1	no	—
1277	C₂³×C₄	—	53	1	no	—
1278	C₂³×C₄	—	53	1	no	—
1279	C₂³×C₄	—	53	1	no	—
1280	C₂³×C₄	—	53	1	no	—
1281	C₂³×C₄	—	53	1	no	—
1282	#125	—	53	1	no	—
1283	#125	—	53	1	no	—
1284	#125	—	53	1	no	—
1285	#125	—	53	1	no	—
1286	#125	—	53	1	no	—
1287	#125	—	53	1	no	—
1288	#125	—	53	1	no	—
1289	#125	C₂×#6157	1	1	yes	characteristic, complemented
1290	#124	—	53	1	no	—
1291	#124	—	53	1	no	—
1292	#124	—	53	1	no	—
1293	#124	—	53	1	no	—
1294	#124	—	53	1	no	—
1295	#124	—	53	1	no	—
1296	#124	—	53	1	no	—
1297	#124	—	53	1	no	—
1298	#124	—	53	1	no	—
1299	#124	—	53	1	no	—
1300	#124	—	53	1	no	—
1301	#124	—	53	1	no	—
1302	#124	—	53	1	no	—
1303	#124	—	53	1	no	—
1304	#124	C₂×#6157	1	1	yes	characteristic, complemented
1305	#124	C₂×#6157	1	1	yes	characteristic, complemented
1306	#123	—	53	1	no	—
1307	#123	—	53	1	no	—
1308	#123	—	53	1	no	—
1309	#123	—	53	1	no	—
1310	#123	—	53	1	no	—
1311	#123	—	53	1	no	—
1312	#123	—	53	1	no	—
1313	#123	—	53	1	no	—
1314	#123	—	53	1	no	—
1315	#123	—	53	1	no	—
1316	#123	—	53	1	no	—
1317	#123	—	53	1	no	—
1318	#123	—	53	1	no	—
1319	#123	—	53	1	no	—
1320	#123	—	53	1	no	—
1321	#123	—	53	1	no	—
1322	#123	—	53	1	no	—
1323	#123	—	53	1	no	—
1324	#123	—	53	1	no	—
1325	#123	—	53	1	no	—
1326	#123	—	53	1	no	—
1327	#123	—	53	1	no	—
1328	#123	—	53	1	no	—
1329	#123	—	53	1	no	—
1330	#123	—	53	1	no	—
1331	#123	—	53	1	no	—
1332	#123	—	53	1	no	—
1333	#123	—	53	1	no	—
1334	#123	C₂×#6157	1	1	yes	characteristic, complemented
1335	#123	C₂×#6157	1	1	yes	characteristic, complemented
1336	#123	C₂×#6157	1	1	yes	characteristic, complemented
1337	#123	C₂×#6157	1	1	yes	characteristic, complemented
1338	C₂²⋊Q₈	—	53	1	no	—
1339	C₂²⋊Q₈	—	53	1	no	—
1340	C₂²⋊Q₈	—	53	1	no	—
1341	C₂²⋊Q₈	—	53	1	no	—
1342	C₂²⋊Q₈	—	53	1	no	—
1343	C₂²⋊Q₈	—	53	1	no	—
1344	C₂²⋊Q₈	—	53	1	no	—
1345	C₂²⋊Q₈	—	53	1	no	—
1346	C₂²⋊Q₈	—	53	1	no	—
1347	C₂²⋊Q₈	—	53	1	no	—
1348	C₂²⋊Q₈	—	53	1	no	—
1349	C₂²⋊Q₈	—	53	1	no	—
1350	C₂²⋊Q₈	—	53	1	no	—
1351	C₂²⋊Q₈	—	53	1	no	—
1352	C₂²⋊Q₈	—	53	1	no	—
1353	C₂²⋊Q₈	—	53	1	no	—
1354	C₂²⋊Q₈	—	53	1	no	—
1355	C₂²⋊Q₈	—	53	1	no	—
1356	C₂²⋊Q₈	—	53	1	no	—
1357	C₂²⋊Q₈	—	53	1	no	—
1358	C₂²⋊Q₈	—	53	1	no	—
1359	C₂²⋊Q₈	—	53	1	no	—
1360	C₂²⋊Q₈	—	53	1	no	—
1361	C₂²⋊Q₈	—	53	1	no	—
1362	C₂²⋊Q₈	—	53	1	no	—
1363	C₂²⋊Q₈	—	53	1	no	—
1364	C₂²⋊Q₈	—	53	1	no	—
1365	C₂²⋊Q₈	—	53	1	no	—
1366	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1367	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1368	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1369	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1370	#121	—	53	1	no	—
1371	#121	—	53	1	no	—
1372	#121	—	53	1	no	—
1373	#121	—	53	1	no	—
1374	#121	—	53	1	no	—
1375	#121	—	53	1	no	—
1376	#121	—	53	1	no	—
1377	#121	—	53	1	no	—
1378	#121	—	53	1	no	—
1379	#121	—	53	1	no	—
1380	#121	—	53	1	no	—
1381	#121	—	53	1	no	—
1382	#121	—	53	1	no	—
1383	#121	—	53	1	no	—
1384	#121	—	53	1	no	—
1385	#121	—	53	1	no	—
1386	#121	—	53	1	no	—
1387	#121	—	53	1	no	—
1388	#121	—	53	1	no	—
1389	#121	—	53	1	no	—
1390	#121	—	53	1	no	—
1391	#121	—	53	1	no	—
1392	#121	—	53	1	no	—
1393	#121	—	53	1	no	—
1394	#121	—	53	1	no	—
1395	#121	—	53	1	no	—
1396	#121	—	53	1	no	—
1397	#121	—	53	1	no	—
1398	#121	C₂×#6157	1	1	yes	characteristic, complemented
1399	#121	C₂×#6157	1	1	yes	characteristic, complemented
1400	#121	C₂×#6157	1	1	yes	characteristic, complemented
1401	#121	C₂×#6157	1	1	yes	characteristic, complemented
1402	C₄×Q₈	—	212	2	no	—
1403	C₄×Q₈	—	212	2	no	—
1404	C₄×D₄	—	212	2	no	—
1405	C₄×D₄	—	212	2	no	—
1406	C₄×D₄	—	212	2	no	—
1407	C₄×D₄	—	212	2	no	—
1408	C₄×D₄	—	212	2	no	—
1409	C₄×D₄	—	212	2	no	—
1410	#117	—	212	2	no	—
1411	#117	—	212	2	no	—
1412	C₂×C₄⋊C₄	—	53	1	no	—
1413	C₂×C₄⋊C₄	—	53	1	no	—
1414	C₂×C₄⋊C₄	—	53	1	no	—
1415	C₂×C₄⋊C₄	—	53	1	no	—
1416	C₂×C₄⋊C₄	—	53	1	no	—
1417	C₂×C₄⋊C₄	—	53	1	no	—
1418	C₂×C₄⋊C₄	—	53	1	no	—
1419	C₂×C₄⋊C₄	—	53	1	no	—
1420	C₂×C₄⋊C₄	—	53	1	no	—
1421	C₂×C₄⋊C₄	—	53	1	no	—
1422	C₂×C₄⋊C₄	—	53	1	no	—
1423	C₂×C₄⋊C₄	—	53	1	no	—
1424	C₂×C₄⋊C₄	—	53	1	no	—
1425	C₂×C₄⋊C₄	—	53	1	no	—
1426	C₂×C₄⋊C₄	—	53	1	no	—
1427	C₂×C₄⋊C₄	—	53	1	no	—
1428	C₂×C₄⋊C₄	—	53	1	no	—
1429	C₂×C₄⋊C₄	—	53	1	no	—
1430	C₂×C₄⋊C₄	—	53	1	no	—
1431	C₂×C₄⋊C₄	—	53	1	no	—
1432	C₂×C₄⋊C₄	—	53	1	no	—
1433	C₂×C₄⋊C₄	—	53	1	no	—
1434	C₂×C₄⋊C₄	—	53	1	no	—
1435	C₂×C₄⋊C₄	—	53	1	no	—
1436	C₂×C₄⋊C₄	—	53	1	no	—
1437	C₂×C₄⋊C₄	—	53	1	no	—
1438	C₂×C₄⋊C₄	—	53	1	no	—
1439	C₂×C₄⋊C₄	—	53	1	no	—
1440	C₂×C₄⋊C₄	—	53	1	no	—
1441	C₂×C₄⋊C₄	—	53	1	no	—
1442	C₂×C₄⋊C₄	—	53	1	no	—
1443	C₂×C₄⋊C₄	—	53	1	no	—
1444	C₂×C₄⋊C₄	—	212	2	no	—
1445	C₂×C₂²⋊C₄	—	53	1	no	—
1446	C₂×C₂²⋊C₄	—	53	1	no	—
1447	C₂×C₂²⋊C₄	—	53	1	no	—
1448	C₂×C₂²⋊C₄	—	53	1	no	—
1449	C₂×C₂²⋊C₄	—	53	1	no	—
1450	C₂×C₂²⋊C₄	—	53	1	no	—
1451	C₂×C₂²⋊C₄	—	53	1	no	—
1452	C₂×C₂²⋊C₄	—	53	1	no	—
1453	C₂×C₂²⋊C₄	—	53	1	no	—
1454	C₂×C₂²⋊C₄	—	53	1	no	—
1455	C₂×C₂²⋊C₄	—	53	1	no	—
1456	C₂×C₂²⋊C₄	—	53	1	no	—
1457	C₂×C₂²⋊C₄	—	53	1	no	—
1458	C₂×C₂²⋊C₄	—	53	1	no	—
1459	C₂×C₂²⋊C₄	—	53	1	no	—
1460	C₂×C₂²⋊C₄	—	53	1	no	—
1461	C₂×C₂²⋊C₄	—	53	1	no	—
1462	C₂×C₂²⋊C₄	—	53	1	no	—
1463	C₂×C₂²⋊C₄	—	53	1	no	—
1464	C₂×C₂²⋊C₄	—	53	1	no	—
1465	C₂×C₂²⋊C₄	—	53	1	no	—
1466	C₂×C₂²⋊C₄	—	53	1	no	—
1467	C₂×C₂²⋊C₄	—	53	1	no	—
1468	C₂×C₂²⋊C₄	—	53	1	no	—
1469	C₂×C₂²⋊C₄	—	53	1	no	—
1470	C₂×C₂²⋊C₄	—	53	1	no	—
1471	C₂×C₂²⋊C₄	—	53	1	no	—
1472	C₂×C₂²⋊C₄	—	53	1	no	—
1473	C₂×C₂²⋊C₄	—	53	1	no	—
1474	C₂×C₂²⋊C₄	—	53	1	no	—
1475	C₂×C₂²⋊C₄	—	53	1	no	—
1476	C₂×C₂²⋊C₄	—	53	1	no	—
1477	C₂×C₂²⋊C₄	—	53	1	no	—
1478	C₂×C₂²⋊C₄	—	53	1	no	—
1479	C₂×C₂²⋊C₄	—	53	1	no	—
1480	C₂×C₂²⋊C₄	—	53	1	no	—
1481	C₂×C₄²	—	53	1	no	—
1482	C₂×C₄²	—	53	1	no	—
1483	C₂×C₄²	—	53	1	no	—
1484	C₂×C₄²	—	53	1	no	—
1485	C₂×C₄²	—	53	1	no	—
1486	C₂×C₄²	—	53	1	no	—
1487	C₂×C₄²	—	53	1	no	—
1488	C₂×C₄²	—	53	1	no	—
1489	C₂×C₄²	—	53	1	no	—
1490	C₂×C₄²	—	53	1	no	—
1491	C₂×C₄²	—	53	1	no	—
1492	C₂×C₄²	—	53	1	no	—
1493	C₂×C₄²	—	53	1	no	—
1494	C₂×C₄²	—	53	1	no	—
1495	C₂×C₄²	—	53	1	no	—
1496	C₂×C₄²	—	53	1	no	—
1497	C₂×C₄²	—	53	1	no	—
1498	C₂×C₄²	—	53	1	no	—
1499	C₂×C₄²	—	53	1	no	—
1500	C₂×C₄²	—	53	1	no	—
1501	C₂×C₄²	—	53	1	no	—
1502	C₂×C₄²	—	53	1	no	—
1503	C₂×C₄²	—	53	1	no	—
1504	C₂×C₄²	—	212	2	no	—
1505	#95	—	53	1	no	—
1506	#95	—	53	1	no	—
1507	#95	—	53	1	no	—
1508	#95	—	53	1	no	—
1509	#95	—	53	1	no	—
1510	#95	—	53	1	no	—
1511	#95	—	53	1	no	—
1512	#95	—	53	1	no	—
1513	#95	—	53	1	no	—
1514	#95	—	53	1	no	—
1515	#95	—	53	1	no	—
1516	#95	—	53	1	no	—
1517	#95	—	53	1	no	—
1518	#95	—	53	1	no	—
1519	#95	—	53	1	no	—
1520	#95	—	53	1	no	—
1521	#95	—	53	1	no	—
1522	#95	—	53	1	no	—
1523	#95	—	53	1	no	—
1524	#95	—	53	1	no	—
1525	#95	—	53	1	no	—
1526	#95	—	53	1	no	—
1527	#95	—	53	1	no	—
1528	#95	—	53	1	no	—
1529	#95	—	53	1	no	—
1530	#95	—	53	1	no	—
1531	#95	—	53	1	no	—
1532	#95	—	53	1	no	—
1533	#95	—	53	1	no	—
1534	#95	—	53	1	no	—
1535	#95	—	53	1	no	—
1536	#95	—	53	1	no	—
1537	#95	—	53	1	no	—
1538	#95	—	53	1	no	—
1539	#95	—	53	1	no	—
1540	#95	—	53	1	no	—
1541	#95	—	53	1	no	—
1542	#95	—	53	1	no	—
1543	#95	—	53	1	no	—
1544	#95	—	53	1	no	—
1545	#95	—	53	1	no	—
1546	#95	—	53	1	no	—
1547	#95	—	53	1	no	—
1548	#95	—	53	1	no	—
1549	C₂⁴	—	53	1	no	—
1550	C₂⁴	—	53	1	no	—
1551	C₂⁴	—	53	1	no	—
1552	C₂⁴	—	53	1	no	—
1553	C₂×Q₈	—	53	1	no	—
1554	C₂×Q₈	—	53	1	no	—
1555	C₂×Q₈	—	53	1	no	—
1556	C₂×Q₈	—	53	1	no	—
1557	C₂×Q₈	—	53	1	no	—
1558	C₂×Q₈	—	53	1	no	—
1559	C₂×Q₈	—	212	1	no	—
1560	C₂×Q₈	—	212	1	no	—
1561	C₂×Q₈	—	212	1	no	—
1562	C₂×Q₈	—	212	1	no	—
1563	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1564	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1565	C₂×D₄	—	53	1	no	—
1566	C₂×D₄	—	53	1	no	—
1567	C₂×D₄	—	53	1	no	—
1568	C₂×D₄	—	53	1	no	—
1569	C₂×D₄	—	53	1	no	—
1570	C₂×D₄	—	53	1	no	—
1571	C₂×D₄	—	53	1	no	—
1572	C₂×D₄	—	53	1	no	—
1573	C₂×D₄	—	53	1	no	—
1574	C₂×D₄	—	53	1	no	—
1575	C₂×D₄	—	53	1	no	—
1576	C₂×D₄	—	53	1	no	—
1577	C₂×D₄	—	53	1	no	—
1578	C₂×D₄	—	53	1	no	—
1579	C₂×D₄	—	53	1	no	—
1580	C₂×D₄	—	53	1	no	—
1581	C₂×D₄	—	53	1	no	—
1582	C₂×D₄	—	53	1	no	—
1583	C₂×D₄	—	212	1	no	—
1584	C₂×D₄	—	212	1	no	—
1585	C₂×D₄	—	212	1	no	—
1586	C₂×D₄	—	212	1	no	—
1587	C₂×D₄	—	212	1	no	—
1588	C₂×D₄	—	212	1	no	—
1589	C₂×D₄	—	212	1	no	—
1590	C₂×D₄	—	212	1	no	—
1591	C₂×D₄	—	212	1	no	—
1592	C₂×D₄	—	212	1	no	—
1593	C₂×D₄	—	212	1	no	—
1594	C₂×D₄	—	212	1	no	—
1595	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1596	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1597	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1598	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1599	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1600	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1601	C₂²×C₄	—	53	1	no	—
1602	C₂²×C₄	—	53	1	no	—
1603	C₂²×C₄	—	53	1	no	—
1604	C₂²×C₄	—	53	1	no	—
1605	C₂²×C₄	—	53	1	no	—
1606	C₂²×C₄	—	53	1	no	—
1607	C₂²×C₄	—	53	1	no	—
1608	C₂²×C₄	—	53	1	no	—
1609	C₂²×C₄	—	53	1	no	—
1610	C₂²×C₄	—	53	1	no	—
1611	C₂²×C₄	—	53	1	no	—
1612	C₂²×C₄	—	53	1	no	—
1613	C₂²×C₄	—	53	1	no	—
1614	C₂²×C₄	—	53	1	no	—
1615	C₂²×C₄	—	53	1	no	—
1616	C₂²×C₄	—	53	1	no	—
1617	C₂²×C₄	—	53	1	no	—
1618	C₂²×C₄	—	53	1	no	—
1619	C₂²×C₄	—	53	1	no	—
1620	C₂²×C₄	—	53	1	no	—
1621	C₂²×C₄	—	53	1	no	—
1622	C₂²×C₄	—	53	1	no	—
1623	C₂²×C₄	—	53	1	no	—
1624	C₂²×C₄	—	53	1	no	—
1625	C₂²×C₄	—	53	1	no	—
1626	C₂²×C₄	—	53	1	no	—
1627	C₂²×C₄	—	53	1	no	—
1628	C₂²×C₄	—	53	1	no	—
1629	C₂²×C₄	—	53	1	no	—
1630	C₂²×C₄	—	53	1	no	—
1631	C₂²×C₄	—	53	1	no	—
1632	C₂²×C₄	—	53	1	no	—
1633	C₂²×C₄	—	53	1	no	—
1634	C₂²×C₄	—	53	1	no	—
1635	C₂²×C₄	—	53	1	no	—
1636	C₂²×C₄	—	53	1	no	—
1637	C₂²×C₄	—	53	1	no	—
1638	C₂²×C₄	—	53	1	no	—
1639	C₂²×C₄	—	53	1	no	—
1640	C₂²×C₄	—	106	2	no	—
1641	C₂²×C₄	—	106	2	no	—
1642	C₂²×C₄	—	106	2	no	—
1643	C₂²×C₄	—	106	2	no	—
1644	C₂²×C₄	—	106	2	no	—
1645	C₂²×C₄	—	106	2	no	—
1646	C₂²×C₄	—	212	1	no	—
1647	C₂²×C₄	—	212	1	no	—
1648	C₂²×C₄	—	212	1	no	—
1649	C₂²×C₄	—	212	1	no	—
1650	C₂²×C₄	—	212	1	no	—
1651	C₂²×C₄	—	212	1	no	—
1652	C₂²×C₄	—	212	1	no	—
1653	C₂²×C₄	—	212	1	no	—
1654	C₂²×C₄	—	212	1	no	—
1655	C₂²×C₄	—	212	1	no	—
1656	C₂²×C₄	—	212	1	no	—
1657	C₂²×C₄	—	212	1	no	—
1658	C₂²×C₄	—	212	1	no	—
1659	C₂²×C₄	—	212	1	no	—
1660	C₂²×C₄	—	212	1	no	—
1661	C₂²×C₄	—	212	1	no	—
1662	C₂²×C₄	—	212	1	no	—
1663	C₂²×C₄	—	212	1	no	—
1664	C₂²×C₄	—	212	1	no	—
1665	C₂²×C₄	—	212	1	no	—
1666	C₂²×C₄	—	212	1	no	—
1667	C₂²×C₄	—	212	1	no	—
1668	C₂²×C₄	—	212	1	no	—
1669	C₂²×C₄	—	212	1	no	—
1670	C₂²×C₄	—	212	1	no	—
1671	C₂²×C₄	—	212	1	no	—
1672	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1673	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1674	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1675	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1676	C₄⋊C₄	—	53	1	no	—
1677	C₄⋊C₄	—	53	1	no	—
1678	C₄⋊C₄	—	53	1	no	—
1679	C₄⋊C₄	—	53	1	no	—
1680	C₄⋊C₄	—	53	1	no	—
1681	C₄⋊C₄	—	53	1	no	—
1682	C₄⋊C₄	—	53	1	no	—
1683	C₄⋊C₄	—	53	1	no	—
1684	C₄⋊C₄	—	53	1	no	—
1685	C₄⋊C₄	—	53	1	no	—
1686	C₄⋊C₄	—	53	1	no	—
1687	C₄⋊C₄	—	53	1	no	—
1688	C₄⋊C₄	—	53	1	no	—
1689	C₄⋊C₄	—	53	1	no	—
1690	C₄⋊C₄	—	53	1	no	—
1691	C₄⋊C₄	—	53	1	no	—
1692	C₄⋊C₄	—	53	1	no	—
1693	C₄⋊C₄	—	53	1	no	—
1694	C₄⋊C₄	—	53	1	no	—
1695	C₄⋊C₄	—	53	1	no	—
1696	C₄⋊C₄	—	53	1	no	—
1697	C₄⋊C₄	—	53	1	no	—
1698	C₄⋊C₄	—	53	1	no	—
1699	C₄⋊C₄	—	53	1	no	—
1700	C₄⋊C₄	—	53	1	no	—
1701	C₄⋊C₄	—	53	1	no	—
1702	C₄⋊C₄	—	53	1	no	—
1703	C₄⋊C₄	—	53	1	no	—
1704	C₄⋊C₄	—	53	1	no	—
1705	C₄⋊C₄	—	53	1	no	—
1706	C₄⋊C₄	—	106	2	no	—
1707	C₄⋊C₄	—	106	2	no	—
1708	C₄⋊C₄	—	106	2	no	—
1709	C₄⋊C₄	—	106	2	no	—
1710	C₄⋊C₄	—	212	1	no	—
1711	C₄⋊C₄	—	212	1	no	—
1712	C₄⋊C₄	—	212	1	no	—
1713	C₄⋊C₄	—	212	1	no	—
1714	C₄⋊C₄	—	212	1	no	—
1715	C₄⋊C₄	—	212	1	no	—
1716	C₄⋊C₄	—	212	1	no	—
1717	C₄⋊C₄	—	212	1	no	—
1718	C₄⋊C₄	—	212	1	no	—
1719	C₄⋊C₄	—	212	1	no	—
1720	C₄⋊C₄	—	212	1	no	—
1721	C₄⋊C₄	—	212	1	no	—
1722	C₄⋊C₄	—	212	1	no	—
1723	C₄⋊C₄	—	212	1	no	—
1724	C₄⋊C₄	—	212	1	no	—
1725	C₄⋊C₄	—	212	1	no	—
1726	C₄⋊C₄	—	212	1	no	—
1727	C₄⋊C₄	—	212	1	no	—
1728	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1729	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1730	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1731	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1732	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1733	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1734	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1735	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1736	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1737	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1738	C₂²⋊C₄	—	53	1	no	—
1739	C₂²⋊C₄	—	53	1	no	—
1740	C₂²⋊C₄	—	53	1	no	—
1741	C₂²⋊C₄	—	53	1	no	—
1742	C₂²⋊C₄	—	53	1	no	—
1743	C₂²⋊C₄	—	53	1	no	—
1744	C₂²⋊C₄	—	53	1	no	—
1745	C₂²⋊C₄	—	53	1	no	—
1746	C₂²⋊C₄	—	53	1	no	—
1747	C₂²⋊C₄	—	53	1	no	—
1748	C₂²⋊C₄	—	53	1	no	—
1749	C₂²⋊C₄	—	53	1	no	—
1750	C₂²⋊C₄	—	53	1	no	—
1751	C₂²⋊C₄	—	53	1	no	—
1752	C₂²⋊C₄	—	53	1	no	—
1753	C₂²⋊C₄	—	53	1	no	—
1754	C₂²⋊C₄	—	53	1	no	—
1755	C₂²⋊C₄	—	53	1	no	—
1756	C₂²⋊C₄	—	53	1	no	—
1757	C₂²⋊C₄	—	53	1	no	—
1758	C₂²⋊C₄	—	53	1	no	—
1759	C₂²⋊C₄	—	53	1	no	—
1760	C₂²⋊C₄	—	53	1	no	—
1761	C₂²⋊C₄	—	53	1	no	—
1762	C₂²⋊C₄	—	53	1	no	—
1763	C₂²⋊C₄	—	53	1	no	—
1764	C₂²⋊C₄	—	53	1	no	—
1765	C₂²⋊C₄	—	53	1	no	—
1766	C₂²⋊C₄	—	53	1	no	—
1767	C₂²⋊C₄	—	53	1	no	—
1768	C₂²⋊C₄	—	53	1	no	—
1769	C₂²⋊C₄	—	53	1	no	—
1770	C₂²⋊C₄	—	53	1	no	—
1771	C₂²⋊C₄	—	53	1	no	—
1772	C₂²⋊C₄	—	53	1	no	—
1773	C₂²⋊C₄	—	53	1	no	—
1774	C₂²⋊C₄	—	106	2	no	—
1775	C₂²⋊C₄	—	106	2	no	—
1776	C₂²⋊C₄	—	106	2	no	—
1777	C₂²⋊C₄	—	106	2	no	—
1778	C₂²⋊C₄	—	106	2	no	—
1779	C₂²⋊C₄	—	106	2	no	—
1780	C₂²⋊C₄	—	212	1	no	—
1781	C₂²⋊C₄	—	212	1	no	—
1782	C₂²⋊C₄	—	212	1	no	—
1783	C₂²⋊C₄	—	212	1	no	—
1784	C₂²⋊C₄	—	212	1	no	—
1785	C₂²⋊C₄	—	212	1	no	—
1786	C₂²⋊C₄	—	212	1	no	—
1787	C₂²⋊C₄	—	212	1	no	—
1788	C₂²⋊C₄	—	212	1	no	—
1789	C₂²⋊C₄	—	212	1	no	—
1790	C₂²⋊C₄	—	212	1	no	—
1791	C₂²⋊C₄	—	212	1	no	—
1792	C₂²⋊C₄	—	212	1	no	—
1793	C₂²⋊C₄	—	212	1	no	—
1794	C₂²⋊C₄	—	212	1	no	—
1795	C₂²⋊C₄	—	212	1	no	—
1796	C₂²⋊C₄	—	212	1	no	—
1797	C₂²⋊C₄	—	212	1	no	—
1798	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1799	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1800	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1801	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1802	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1803	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1804	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1805	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1806	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1807	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1808	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1809	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1810	C₄²	—	53	1	no	—
1811	C₄²	—	53	1	no	—
1812	C₄²	—	53	1	no	—
1813	C₄²	—	106	2	no	—
1814	C₄²	—	106	2	no	—
1815	C₄²	—	106	2	no	—
1816	C₄²	—	106	2	no	—
1817	C₄²	—	106	2	no	—
1818	C₄²	—	106	2	no	—
1819	C₄²	—	106	2	no	—
1820	C₄²	—	212	1	no	—
1821	C₄²	—	212	1	no	—
1822	C₄²	—	212	1	no	—
1823	C₄²	—	212	1	no	—
1824	C₄²	—	212	1	no	—
1825	C₄²	—	212	1	no	—
1826	C₄²	—	212	1	no	—
1827	C₄²	—	212	1	no	—
1828	C₄²	—	212	1	no	—
1829	C₄²	—	212	1	no	—
1830	C₄²	—	212	1	no	—
1831	C₄²	—	212	1	no	—
1832	C₄²	—	212	1	no	—
1833	C₄²	—	212	1	no	—
1834	C₄²	—	212	1	no	—
1835	C₄²	C₂²×#6157	1	1	yes	characteristic
1836	C₂³	—	53	1	no	—
1837	C₂³	—	53	1	no	—
1838	C₂³	—	53	1	no	—
1839	C₂³	—	53	1	no	—
1840	C₂³	—	53	1	no	—
1841	C₂³	—	106	1	no	—
1842	C₂³	—	106	1	no	—
1843	C₂³	—	106	1	no	—
1844	C₂³	—	106	1	no	—
1845	C₂³	—	106	1	no	—
1846	C₂³	—	106	1	no	—
1847	C₂³	—	106	1	no	—
1848	C₂³	—	106	1	no	—
1849	C₂³	—	106	1	no	—
1850	C₂³	—	106	1	no	—
1851	C₂³	—	106	1	no	—
1852	C₂³	—	106	1	no	—
1853	C₂³	—	106	1	no	—
1854	C₂³	—	106	1	no	—
1855	C₂³	—	106	1	no	—
1856	C₂³	—	106	1	no	—
1857	C₂³	—	106	1	no	—
1858	C₂³	—	106	1	no	—
1859	C₂³	—	106	1	no	—
1860	C₂³	—	106	1	no	—
1861	C₂³	—	106	1	no	—
1862	C₂³	—	106	1	no	—
1863	C₂³	—	106	1	no	—
1864	C₂³	—	106	1	no	—
1865	C₂³	C₂³×#6157	1	1	yes	characteristic
1866	C₂³	C₂³×#6157	1	1	yes	characteristic
1867	C₂³	C₂³×#6157	1	1	yes	characteristic
1868	C₂³	C₂³×#6157	1	1	yes	characteristic
1869	Q₈	—	4	1	no	—
1870	Q₈	—	4	1	no	—
1871	Q₈	—	212	1	no	—
1872	Q₈	—	212	1	no	—
1873	Q₈	—	212	1	no	—
1874	Q₈	—	212	1	no	—
1875	Q₈	—	212	1	no	—
1876	Q₈	—	212	1	no	—
1877	D₄	—	4	1	no	—
1878	D₄	—	4	1	no	—
1879	D₄	—	4	1	no	—
1880	D₄	—	4	1	no	—
1881	D₄	—	4	1	no	—
1882	D₄	—	4	1	no	—
1883	D₄	—	212	1	no	—
1884	D₄	—	212	1	no	—
1885	D₄	—	212	1	no	—
1886	D₄	—	212	1	no	—
1887	D₄	—	212	1	no	—
1888	D₄	—	212	1	no	—
1889	D₄	—	212	1	no	—
1890	D₄	—	212	1	no	—
1891	D₄	—	212	1	no	—
1892	D₄	—	212	1	no	—
1893	D₄	—	212	1	no	—
1894	D₄	—	212	1	no	—
1895	D₄	—	212	1	no	—
1896	D₄	—	212	1	no	—
1897	D₄	—	212	1	no	—
1898	D₄	—	212	1	no	—
1899	D₄	—	212	1	no	—
1900	D₄	—	212	1	no	—
1901	C₂×C₄	—	4	1	no	—
1902	C₂×C₄	—	4	1	no	—
1903	C₂×C₄	—	4	1	no	—
1904	C₂×C₄	—	4	1	no	—
1905	C₂×C₄	—	53	2	no	—
1906	C₂×C₄	—	53	2	no	—
1907	C₂×C₄	—	53	2	no	—
1908	C₂×C₄	—	53	1	no	—
1909	C₂×C₄	—	53	1	no	—
1910	C₂×C₄	—	53	1	no	—
1911	C₂×C₄	—	53	1	no	—
1912	C₂×C₄	—	53	1	no	—
1913	C₂×C₄	—	53	1	no	—
1914	C₂×C₄	—	53	1	no	—
1915	C₂×C₄	—	53	1	no	—
1916	C₂×C₄	—	53	1	no	—
1917	C₂×C₄	—	53	1	no	—
1918	C₂×C₄	—	53	1	no	—
1919	C₂×C₄	—	106	1	no	—
1920	C₂×C₄	—	106	1	no	—
1921	C₂×C₄	—	106	1	no	—
1922	C₂×C₄	—	106	1	no	—
1923	C₂×C₄	—	106	1	no	—
1924	C₂×C₄	—	106	1	no	—
1925	C₂×C₄	—	106	1	no	—
1926	C₂×C₄	—	106	1	no	—
1927	C₂×C₄	—	106	1	no	—
1928	C₂×C₄	—	106	1	no	—
1929	C₂×C₄	—	106	1	no	—
1930	C₂×C₄	—	106	1	no	—
1931	C₂×C₄	—	106	1	no	—
1932	C₂×C₄	—	106	1	no	—
1933	C₂×C₄	—	106	1	no	—
1934	C₂×C₄	—	106	1	no	—
1935	C₂×C₄	—	106	1	no	—
1936	C₂×C₄	—	106	1	no	—
1937	C₂×C₄	—	106	1	no	—
1938	C₂×C₄	—	106	1	no	—
1939	C₂×C₄	—	106	1	no	—
1940	C₂×C₄	—	106	1	no	—
1941	C₂×C₄	—	106	1	no	—
1942	C₂×C₄	—	106	1	no	—
1943	C₂×C₄	—	106	1	no	—
1944	C₂×C₄	—	106	1	no	—
1945	C₂×C₄	—	106	1	no	—
1946	C₂×C₄	—	106	1	no	—
1947	C₂×C₄	—	106	1	no	—
1948	C₂×C₄	—	106	1	no	—
1949	C₂×C₄	—	106	1	no	—
1950	C₂×C₄	—	106	1	no	—
1951	C₂×C₄	—	106	1	no	—
1952	C₂×C₄	—	106	1	no	—
1953	C₂×C₄	—	106	1	no	—
1954	C₂×C₄	—	106	1	no	—
1955	C₂×C₄	—	106	1	no	—
1956	C₂×C₄	—	106	1	no	—
1957	C₂×C₄	—	106	1	no	—
1958	C₂×C₄	—	106	1	no	—
1959	C₂×C₄	—	106	1	no	—
1960	C₂×C₄	—	106	1	no	—
1961	C₂×C₄	—	106	1	no	—
1962	C₂×C₄	—	106	1	no	—
1963	C₂×C₄	—	106	1	no	—
1964	C₂×C₄	—	106	1	no	—
1965	C₂×C₄	—	106	1	no	—
1966	C₂×C₄	—	106	1	no	—
1967	C₂×C₄	—	106	1	no	—
1968	C₂×C₄	—	106	1	no	—
1969	C₂×C₄	—	106	1	no	—
1970	C₂×C₄	—	106	1	no	—
1971	C₂×C₄	—	106	1	no	—
1972	C₂×C₄	—	106	1	no	—
1973	C₂×C₄	—	106	1	no	—
1974	C₂×C₄	—	106	1	no	—
1975	C₂×C₄	—	106	1	no	—
1976	C₂×C₄	—	106	1	no	—
1977	C₂×C₄	—	106	1	no	—
1978	C₂×C₄	—	106	1	no	—
1979	C₂×C₄	—	106	1	no	—
1980	C₂×C₄	—	106	1	no	—
1981	C₂×C₄	—	106	1	no	—
1982	C₂×C₄	—	106	1	no	—
1983	C₂×C₄	—	106	1	no	—
1984	C₂×C₄	—	106	1	no	—
1985	C₂×C₄	—	106	1	no	—
1986	C₂×C₄	—	424	2	no	—
1987	C₂×C₄	—	424	2	no	—
1988	C₂×C₄	—	424	2	no	—
1989	C₂×C₄	—	424	2	no	—
1990	C₂×C₄	—	424	2	no	—
1991	C₂×C₄	—	424	2	no	—
1992	C₂×C₄	—	212	1	no	—
1993	C₂×C₄	—	212	1	no	—
1994	C₂×C₄	—	212	1	no	—
1995	C₂×C₄	—	212	1	no	—
1996	C₂×C₄	—	212	1	no	—
1997	C₂×C₄	—	212	1	no	—
1998	C₂×C₄	—	212	1	no	—
1999	C₂×C₄	—	212	1	no	—
2000	C₂×C₄	—	212	1	no	—
2001	C₂×C₄	—	212	1	no	—
2002	C₂×C₄	—	212	1	no	—
2003	C₂×C₄	—	212	1	no	—
2004	C₂×C₄	—	212	4	no	—
2005	C₂×C₄	—	212	4	no	—
2006	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2007	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2008	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2009	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2010	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2011	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2012	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2013	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2014	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2015	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2016	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2017	C₂²	—	2	1	no	—
2018	C₂²	—	2	1	no	—
2019	C₂²	—	2	1	no	—
2020	C₂²	—	2	1	no	—
2021	C₂²	—	2	1	no	—
2022	C₂²	—	2	1	no	—
2023	C₂²	—	2	1	no	—
2024	C₂²	—	2	1	no	—
2025	C₂²	—	2	1	no	—
2026	C₂²	—	2	1	no	—
2027	C₂²	—	2	1	no	—
2028	C₂²	—	2	1	no	—
2029	C₂²	—	53	1	no	—
2030	C₂²	—	53	1	no	—
2031	C₂²	—	53	1	no	—
2032	C₂²	—	53	1	no	—
2033	C₂²	—	53	1	no	—
2034	C₂²	—	53	1	no	—
2035	C₂²	—	106	1	no	—
2036	C₂²	—	106	1	no	—
2037	C₂²	—	106	1	no	—
2038	C₂²	—	106	1	no	—
2039	C₂²	—	106	1	no	—
2040	C₂²	—	106	1	no	—
2041	C₂²	—	106	1	no	—
2042	C₂²	—	106	1	no	—
2043	C₂²	—	106	1	no	—
2044	C₂²	—	106	1	no	—
2045	C₂²	—	106	1	no	—
2046	C₂²	—	106	1	no	—
2047	C₂²	—	212	1	no	—
2048	C₂²	—	212	1	no	—
2049	C₂²	—	212	1	no	—
2050	C₂²	—	212	1	no	—
2051	C₂²	—	212	1	no	—
2052	C₂²	—	212	1	no	—
2053	C₂²	—	212	1	no	—
2054	C₂²	—	212	1	no	—
2055	C₂²	—	212	1	no	—
2056	C₂²	—	212	1	no	—
2057	C₂²	—	212	1	no	—
2058	C₂²	—	212	1	no	—
2059	C₂²	—	212	1	no	—
2060	C₂²	—	212	1	no	—
2061	C₂²	—	212	1	no	—
2062	C₂²	—	212	1	no	—
2063	C₂²	C₂⁴×#6157	1	1	yes	characteristic
2064	C₄	—	2	1	no	—
2065	C₄	—	2	1	no	—
2066	C₄	—	2	1	no	—
2067	C₄	—	2	1	no	—
2068	C₄	—	2	1	no	—
2069	C₄	—	2	1	no	—
2070	C₄	—	2	1	no	—
2071	C₄	—	2	1	no	—
2072	C₄	—	2	1	no	—
2073	C₄	—	2	1	no	—
2074	C₄	—	2	1	no	—
2075	C₄	—	106	2	no	—
2076	C₄	—	106	2	no	—
2077	C₄	—	106	2	no	—
2078	C₄	—	106	1	no	—
2079	C₄	—	106	1	no	—
2080	C₄	—	106	1	no	—
2081	C₄	—	106	1	no	—
2082	C₄	—	106	1	no	—
2083	C₄	—	106	1	no	—
2084	C₄	—	106	1	no	—
2085	C₄	—	106	1	no	—
2086	C₄	—	106	1	no	—
2087	C₄	—	106	1	no	—
2088	C₄	—	106	1	no	—
2089	C₄	—	212	1	no	—
2090	C₄	—	212	1	no	—
2091	C₄	—	212	1	no	—
2092	C₄	—	212	1	no	—
2093	C₄	—	212	1	no	—
2094	C₄	—	212	1	no	—
2095	C₄	—	212	1	no	—
2096	C₄	—	212	1	no	—
2097	C₄	—	212	1	no	—
2098	C₄	—	212	1	no	—
2099	C₄	—	212	1	no	—
2100	C₄	—	212	1	no	—
2101	C₄	—	212	1	no	—
2102	C₂	—	4	1	no	—
2103	C₂	—	4	1	no	—
2104	C₂	—	4	1	no	—
2105	C₂	—	4	1	no	—
2106	C₂	—	53	1	no	—
2107	C₂	—	53	1	no	—
2108	C₂	—	53	1	no	—
2109	C₂	—	53	1	no	—
2110	C₂	—	212	1	no	—
2111	C₂	—	212	1	no	—
2112	C₂	—	212	1	no	—
2113	C₂	—	212	1	no	—
2114	C₂	H(5,𝔽₂)×#6157	1	1	yes	characteristic
2115	C₂	H(5,𝔽₂)×#6157	1	1	yes	characteristic
2116	C₂	2₋¹⁺⁴×#6157	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6157
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#562	C₄
prime radical	#562×D₅₃	C₂
cosocle	C₂²×D₅₃	C₂⁵
hypercenter	#562	#6157
hypocenter	C₅₃	#34519
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #562

Complements

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

N	H ≅ G/N	type
1. #20291257	C₂	semidirect
2. #20291256	C₂	semidirect
3. #20291255	C₂	semidirect
4. #20291253	C₂	semidirect
5. #20291251	C₂	semidirect
6. #20291251	C₂	semidirect
7. #20291250	C₂	semidirect
8. #20291247	C₂	semidirect
9. #20291243	C₂	semidirect
10. #20291242	C₂	semidirect
11. #20291241	C₂	semidirect
12. #20291240	C₂	semidirect
13. #20291239	C₂	semidirect
14. #20291238	C₂	semidirect
15. #20291238	C₂	semidirect
16. #20291214	C₂	semidirect
17. #20291214	C₂	semidirect
18. #20291212	C₂	semidirect
19. #20291211	C₂	semidirect
20. #20291209	C₂	semidirect
21. #20291208	C₂	semidirect
22. #20291205	C₂	semidirect
23. #20291205	C₂	semidirect
24. #20291204	C₂	semidirect
25. #20291203	C₂	semidirect
26. #20291202	C₂	semidirect
27. #20291201	C₂	semidirect
28. C₂²⋊Q₈×#6157	C₂	semidirect
29. #123×#6157	C₂	semidirect
30. #121×#6157	C₂	semidirect
172. #16811371	C₄	semidirect
173. #16811370	C₄	semidirect
174. #16811370	C₄	semidirect
175. #16811370	C₄	semidirect
176. #16811370	C₄	semidirect
177. #16811369	C₄	semidirect
178. #16811369	C₄	semidirect
179. #16811369	C₄	semidirect
180. #16811369	C₄	semidirect
181. #16811368	C₄	semidirect
182. #16811368	C₄	semidirect
183. #16811368	C₄	semidirect
184. #16811368	C₄	semidirect
185. #16811367	C₄	semidirect
186. #16811367	C₄	semidirect
202. C₅₃×#562	C₄	semidirect
347. #13133209	C₂×C₄	semidirect
348. #13133208	C₂×C₄	semidirect
349. #13133208	C₂×C₄	semidirect
350. #13133207	C₂×C₄	semidirect
351. #13133207	C₂×C₄	semidirect
352. #13133207	C₂×C₄	semidirect
353. #13133207	C₂×C₄	semidirect
354. #13133206	C₂×C₄	semidirect
355. #13133206	C₂×C₄	semidirect
356. #13133205	C₂×C₄	semidirect
357. #13133205	C₂×C₄	semidirect
358. #13133204	C₂×C₄	semidirect
359. #13133204	C₂×C₄	semidirect
360. #13133203	C₂×C₄	semidirect
361. #13133203	C₂×C₄	semidirect
362. #13133203	C₂×C₄	semidirect
363. #13133203	C₂×C₄	semidirect
364. #13133203	C₂×C₄	semidirect
365. #13133203	C₂×C₄	semidirect
366. #13133203	C₂×C₄	semidirect
367. #13133203	C₂×C₄	semidirect
368. #13133202	C₂×C₄	semidirect
369. #13133202	C₂×C₄	semidirect
370. #13133202	C₂×C₄	semidirect
371. #13133202	C₂×C₄	semidirect
372. #13133202	C₂×C₄	semidirect
373. #13133202	C₂×C₄	semidirect
374. #13133202	C₂×C₄	semidirect
375. #13133202	C₂×C₄	semidirect
376. #13133201	C₂×C₄	semidirect
377. #13133201	C₂×C₄	semidirect
378. #13133201	C₂×C₄	semidirect
379. #13133201	C₂×C₄	semidirect
380. #13133200	C₂×C₄	semidirect
381. #13133200	C₂×C₄	semidirect
382. #13133200	C₂×C₄	semidirect
383. #13133200	C₂×C₄	semidirect
384. #13133199	C₂×C₄	semidirect
385. #13133199	C₂×C₄	semidirect
386. #13133199	C₂×C₄	semidirect
387. #13133199	C₂×C₄	semidirect
388. #13133199	C₂×C₄	semidirect
389. #13133199	C₂×C₄	semidirect
390. #13133199	C₂×C₄	semidirect
391. #13133199	C₂×C₄	semidirect
392. #13133198	C₂×C₄	semidirect
393. #13133198	C₂×C₄	semidirect
394. #13133198	C₂×C₄	semidirect
395. #13133198	C₂×C₄	semidirect
396. #13133197	C₂×C₄	semidirect
397. #13133197	C₂×C₄	semidirect
398. #13133197	C₂×C₄	semidirect
399. #13133197	C₂×C₄	semidirect
400. #13133196	C₂×C₄	semidirect
401. #13133196	C₂×C₄	semidirect
402. #13133196	C₂×C₄	semidirect
403. #13133196	C₂×C₄	semidirect
404. #13133195	C₂×C₄	semidirect
405. #13133195	C₂×C₄	semidirect
406. #13133195	C₂×C₄	semidirect
407. #13133195	C₂×C₄	semidirect
408. #13133195	C₂×C₄	semidirect
409. #13133195	C₂×C₄	semidirect
410. #13133195	C₂×C₄	semidirect
411. #13133195	C₂×C₄	semidirect
412. #13133194	C₂×C₄	semidirect
413. #13133194	C₂×C₄	semidirect
414. #13133194	C₂×C₄	semidirect
415. #13133194	C₂×C₄	semidirect
416. #13133194	C₂×C₄	semidirect
417. #13133194	C₂×C₄	semidirect
418. #13133194	C₂×C₄	semidirect
419. #13133194	C₂×C₄	semidirect
420. #13133193	C₂×C₄	semidirect
421. #13133193	C₂×C₄	semidirect
422. #13133193	C₂×C₄	semidirect
423. #13133193	C₂×C₄	semidirect
424. #13133192	C₂×C₄	semidirect
425. #13133192	C₂×C₄	semidirect
426. #13133192	C₂×C₄	semidirect
427. #13133192	C₂×C₄	semidirect
428. #13133191	C₂×C₄	semidirect
429. #13133191	C₂×C₄	semidirect
430. #13133191	C₂×C₄	semidirect
431. #13133191	C₂×C₄	semidirect
432. #13133190	C₂×C₄	semidirect
433. #13133190	C₂×C₄	semidirect
434. #13133190	C₂×C₄	semidirect
435. #13133190	C₂×C₄	semidirect
436. #13133190	C₂×C₄	semidirect
437. #13133190	C₂×C₄	semidirect
438. #13133190	C₂×C₄	semidirect
439. #13133190	C₂×C₄	semidirect
440. #13133189	C₂×C₄	semidirect
441. #13133189	C₂×C₄	semidirect
442. #13133189	C₂×C₄	semidirect
443. #13133189	C₂×C₄	semidirect
444. #13133189	C₂×C₄	semidirect
445. #13133189	C₂×C₄	semidirect
446. #13133189	C₂×C₄	semidirect
447. #13133189	C₂×C₄	semidirect
448. #13133188	C₂×C₄	semidirect
449. #13133188	C₂×C₄	semidirect
450. #13133188	C₂×C₄	semidirect
451. #13133188	C₂×C₄	semidirect
475. #125×C₅₃	C₂×C₄	semidirect
476. #124×C₅₃	C₂×C₄	semidirect
477. #124×C₅₃	C₂×C₄	semidirect
478. #123×C₅₃	C₂×C₄	semidirect
479. #123×C₅₃	C₂×C₄	semidirect
480. #123×C₅₃	C₂×C₄	semidirect
481. #123×C₅₃	C₂×C₄	semidirect
482. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
483. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
484. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
485. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
486. #121×C₅₃	C₂×C₄	semidirect
487. #121×C₅₃	C₂×C₄	semidirect
488. #121×C₅₃	C₂×C₄	semidirect
489. #121×C₅₃	C₂×C₄	semidirect
1105. #562	#6157	semidirect
1261. C₅₃	#34519	semidirect
1289. #125	C₂×#6157	semidirect
1304. #124	C₂×#6157	semidirect
1305. #124	C₂×#6157	semidirect
1334. #123	C₂×#6157	semidirect
1335. #123	C₂×#6157	semidirect
1336. #123	C₂×#6157	semidirect
1337. #123	C₂×#6157	semidirect
1366. C₂²⋊Q₈	C₂×#6157	semidirect
1367. C₂²⋊Q₈	C₂×#6157	semidirect
1368. C₂²⋊Q₈	C₂×#6157	semidirect
1369. C₂²⋊Q₈	C₂×#6157	semidirect
1398. #121	C₂×#6157	semidirect
1399. #121	C₂×#6157	semidirect
1400. #121	C₂×#6157	semidirect
1401. #121	C₂×#6157	semidirect

Maximal subgroups

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

subgroup	index
#20291257	2
#20291256	2
#20291255	2
#20291253	2
#20291251	2
#20291250	2
#20291247	2
#20291243	2
#20291242	2
#20291241	2
#20291240	2
#20291239	2
#20291238	2
#20291214	2
#20291212	2
#20291211	2
#20291209	2
#20291208	2
#20291205	2
#20291204	2
#20291203	2
#20291202	2
#20291201	2
C₂²⋊Q₈×#6157	2
#123×#6157	2
#121×#6157	2
#562×D₅₃	2
#34519	53