Subgroups — #11743949

Order 896.

1032 conjugacy classes of subgroups.

The subgroup lattice has 964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	#90400	C₂	1	1	yes	maximal, characteristic, complemented
3	#90399	C₂	1	1	yes	maximal, characteristic, complemented
4	#90397	C₂	1	1	yes	maximal, characteristic, complemented
5	#90392	C₂	1	1	yes	maximal, characteristic, complemented
6	#90387	C₂	1	1	yes	maximal, characteristic, complemented
7	#90384	C₂	1	1	yes	maximal, characteristic, complemented
8	#90354	C₂	1	1	yes	maximal, characteristic, complemented
9	#90352	C₂	1	1	yes	maximal, characteristic, complemented
10	#90341	C₂	1	1	yes	maximal, characteristic, complemented
11	#90340	C₂	1	1	yes	maximal, characteristic, complemented
12	#90309	C₂	1	1	yes	maximal, characteristic, complemented
13	#90306	C₂	1	1	yes	maximal, characteristic, complemented
14	#90292	C₂	1	1	yes	maximal, characteristic, complemented
15	#90292	C₂	1	1	yes	maximal, characteristic, complemented
16	#90292	C₂	1	1	yes	maximal, characteristic, complemented
17	#90288	C₂	1	1	yes	maximal, characteristic, complemented
18	#90288	C₂	1	1	yes	maximal, characteristic, complemented
19	#90287	C₂	1	1	yes	maximal, characteristic, complemented
20	#90256	C₂	1	1	yes	maximal, characteristic, complemented
21	#90237	C₂	1	1	yes	maximal, characteristic, complemented
22	#90237	C₂	1	1	yes	maximal, characteristic, complemented
23	#90231	C₂	1	1	yes	maximal, characteristic, complemented
24	#90231	C₂	1	1	yes	maximal, characteristic, complemented
25	#90231	C₂	1	1	yes	maximal, characteristic, complemented
26	#90229	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#1159	C₂	1	1	yes	maximal, characteristic, complemented
28	#90222	C₂	1	1	yes	maximal, characteristic, complemented
29	#90219	C₂	1	1	yes	maximal, characteristic, complemented
30	#90205	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#6452	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#1159	C₂²	1	1	yes	characteristic
33	C₂×#1159	C₂²	1	1	yes	characteristic
34	C₂×#1159	C₂²	1	1	yes	characteristic
35	C₇×#126	C₂²	1	1	yes	characteristic
36	C₇×#126	C₂²	1	1	yes	characteristic
37	C₇×#125	C₂²	1	1	yes	characteristic
38	C₇×#123	C₂²	1	1	yes	characteristic
39	C₇×#123	C₂²	1	1	yes	characteristic
40	C₇×#121	C₂²	1	1	yes	characteristic
41	C₇×#121	C₂²	1	1	yes	characteristic
42	C₇×#121	C₂²	1	1	yes	characteristic
43	C₇×#121	C₂²	1	1	yes	characteristic
44	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
45	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
46	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
47	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
48	C₇×#117	C₂²	1	1	yes	characteristic
49	C₂×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
50	#6503	C₂²	1	1	yes	characteristic
51	#6502	C₂²	1	1	yes	characteristic
52	#6502	C₂²	1	1	yes	characteristic
53	#6502	C₂²	1	1	yes	characteristic
54	#6502	C₂²	1	1	yes	characteristic
55	#6502	C₂²	1	1	yes	characteristic
56	#6502	C₂²	1	1	yes	characteristic
57	#6502	C₂²	1	1	yes	characteristic
58	#6502	C₂²	1	1	yes	characteristic
59	#6502	C₂²	1	1	yes	characteristic
60	#6502	C₂²	1	1	yes	characteristic
61	#6502	C₂²	1	1	yes	characteristic
62	#6502	C₂²	1	1	yes	characteristic
63	#6501	C₂²	1	1	yes	characteristic
64	#6498	C₂²	1	1	yes	characteristic
65	#6498	C₂²	1	1	yes	characteristic
66	D₄×Dic₇	C₂²	1	1	yes	characteristic
67	D₄×Dic₇	C₂²	1	1	yes	characteristic
68	D₄×Dic₇	C₂²	1	1	yes	characteristic
69	D₄×Dic₇	C₂²	1	1	yes	characteristic
70	D₄×Dic₇	C₂²	1	1	yes	characteristic
71	#6493	C₂²	1	1	yes	characteristic
72	#6493	C₂²	1	1	yes	characteristic
73	#6493	C₂²	1	1	yes	characteristic
74	#6493	C₂²	1	1	yes	characteristic
75	#6492	C₂²	1	1	yes	characteristic
76	#6492	C₂²	1	1	yes	characteristic
77	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
78	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
79	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
80	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
81	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
82	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
83	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
84	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
85	#6489	C₂²	1	1	yes	characteristic
86	C₂×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
87	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
88	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
89	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
90	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
91	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
92	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
93	C₂×C₄×Dic₇	C₂²	1	1	yes	characteristic
94	C₂×C₄×Dic₇	C₂²	1	1	yes	characteristic
95	#6461	C₂²	1	1	yes	characteristic
96	#6461	C₂²	1	1	yes	characteristic
97	#6461	C₂²	1	1	yes	characteristic
98	#6461	C₂²	1	1	yes	characteristic
99	#6461	C₂²	1	1	yes	characteristic
100	#6461	C₂²	1	1	yes	characteristic
101	#6459	C₂²	1	1	yes	characteristic
102	#6459	C₂²	1	1	yes	characteristic
103	#6459	C₂²	1	1	yes	characteristic
104	#6459	C₂²	1	1	yes	characteristic
105	#6458	C₂²	1	1	yes	characteristic
106	#6457	C₂²	1	1	yes	characteristic
107	#6457	C₂²	1	1	yes	characteristic
108	#6457	C₂²	1	1	yes	characteristic
109	#6457	C₂²	1	1	yes	characteristic
110	#6456	C₂²	1	1	yes	characteristic
111	#6456	C₂²	1	1	yes	characteristic
112	#6455	C₂²	1	1	yes	characteristic
113	#6455	C₂²	1	1	yes	characteristic
114	#6455	C₂²	1	1	yes	characteristic
115	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
116	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
117	#6453	C₂²	1	1	yes	characteristic
118	#6453	C₂²	1	1	yes	characteristic
119	#6452	C₂²	1	1	yes	characteristic
120	#6452	C₂²	1	1	yes	characteristic
121	#6452	C₂²	1	1	yes	characteristic
122	#6452	C₂²	1	1	yes	characteristic
123	#6452	C₂²	1	1	yes	characteristic
124	#6452	C₂²	1	1	yes	characteristic
125	#6452	C₂²	1	1	yes	characteristic
126	#6452	C₂²	1	1	yes	characteristic
127	#6452	C₂²	1	1	yes	characteristic
128	#6452	C₂²	1	1	yes	characteristic
129	#6452	C₂²	1	1	yes	characteristic
130	#6452	C₂²	1	1	yes	characteristic
131	#6451	C₂²	1	1	yes	characteristic
132	#6450	C₂²	1	1	yes	characteristic
133	#6450	C₂²	1	1	yes	characteristic
134	#6450	C₂²	1	1	yes	characteristic
135	#6449	C₂²	1	1	yes	characteristic
136	#6449	C₂²	1	1	yes	characteristic
137	#6448	C₂²	1	1	yes	characteristic
138	#6448	C₂²	1	1	yes	characteristic
139	#6447	C₂²	1	1	yes	characteristic
140	#6447	C₂²	1	1	yes	characteristic
141	#6447	C₂²	1	1	yes	characteristic
142	#6447	C₂²	1	1	yes	characteristic
143	#6447	C₂²	1	1	yes	characteristic
144	#6447	C₂²	1	1	yes	characteristic
145	#6446	C₂²	1	1	yes	characteristic
146	#6446	C₂²	1	1	yes	characteristic
147	#6446	C₂²	1	1	yes	characteristic
148	#6446	C₂²	1	1	yes	characteristic
149	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
150	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
151	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
152	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
153	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
154	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
155	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
156	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
157	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
158	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
159	#6442	C₂²	1	1	yes	characteristic
160	#6442	C₂²	1	1	yes	characteristic
161	#6442	C₂²	1	1	yes	characteristic
162	#6442	C₂²	1	1	yes	characteristic
163	#6442	C₂²	1	1	yes	characteristic
164	#6442	C₂²	1	1	yes	characteristic
165	#6441	C₂²	1	1	yes	characteristic
166	#6441	C₂²	1	1	yes	characteristic
167	#6441	C₂²	1	1	yes	characteristic
168	#6441	C₂²	1	1	yes	characteristic
169	#6440	C₂²	1	1	yes	characteristic
170	#6440	C₂²	1	1	yes	characteristic
171	#6440	C₂²	1	1	yes	characteristic
172	#6440	C₂²	1	1	yes	characteristic
173	#6440	C₂²	1	1	yes	characteristic
174	#6440	C₂²	1	1	yes	characteristic
175	#6439	C₂²	1	1	yes	characteristic
176	#6439	C₂²	1	1	yes	characteristic
177	C₄×D₂₈	C₂²	1	1	yes	characteristic
178	#6435	C₂²	1	1	yes	characteristic
179	#6435	C₂²	1	1	yes	characteristic
180	#6435	C₂²	1	1	yes	characteristic
181	#6435	C₂²	1	1	yes	characteristic
182	C₄²×D₇	C₂²	1	1	yes	characteristic
183	#6433	C₂²	1	1	yes	characteristic
184	C₄×Dic₁₄	C₂²	1	1	yes	characteristic
185	C₄×Dic₁₄	C₂²	1	1	yes	characteristic
186	C₄×Dic₁₄	C₂²	1	1	yes	characteristic
187	#3512	—	7	1	no	maximal, Sylow
188	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
189	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
190	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
191	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
192	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
193	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
194	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
196	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
197	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
198	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
199	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
212	C₂²×Dic₇	C₂³	1	1	yes	characteristic
213	C₂²×Dic₇	C₂³	1	1	yes	characteristic
214	C₂²×Dic₇	C₂³	1	1	yes	characteristic
215	C₂²×Dic₇	C₂³	1	1	yes	characteristic
216	C₂²×Dic₇	C₂³	1	1	yes	characteristic
217	C₂²×Dic₇	C₂³	1	1	yes	characteristic
218	C₂²×Dic₇	C₂³	1	1	yes	characteristic
219	C₂²×Dic₇	C₂³	1	1	yes	characteristic
220	C₂²×Dic₇	C₂³	1	1	yes	characteristic
221	C₂²×Dic₇	C₂³	1	1	yes	characteristic
222	#1159	—	2	4	no	—
223	#1159	—	2	4	no	—
224	#1159	—	2	4	no	—
225	C₂×D₂₈	C₂³	1	1	yes	characteristic
226	C₂×D₂₈	C₂³	1	1	yes	characteristic
227	C₂×D₂₈	C₂³	1	1	yes	characteristic
228	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
229	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
230	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
231	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
232	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
233	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
234	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
235	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
236	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
237	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
240	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
252	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
254	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
258	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₄²×C₇	C₂³	1	1	yes	characteristic
261	C₄²×C₇	C₂³	1	1	yes	characteristic
262	C₄²×C₇	C₂³	1	1	yes	characteristic
263	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
264	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
265	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
266	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
267	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
268	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
269	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
270	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
271	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
272	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
273	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
274	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
275	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
276	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
277	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
278	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
279	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
280	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
281	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
282	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
283	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
284	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
285	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
286	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
287	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
288	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
289	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
290	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
291	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
292	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
293	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
294	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
295	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
296	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
297	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
298	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
299	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
300	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
301	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
302	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
303	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
304	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
305	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
306	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
307	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
308	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
309	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
310	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
311	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
312	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
313	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
314	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
315	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
316	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
317	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
318	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
319	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
320	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
321	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
322	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
323	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
324	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
325	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
326	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
327	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
328	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
329	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
330	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
331	C₄×Dic₇	C₂³	1	1	yes	characteristic
332	C₄×Dic₇	C₂³	1	1	yes	characteristic
333	C₄×Dic₇	C₂³	1	1	yes	characteristic
334	C₄×Dic₇	C₂³	1	1	yes	characteristic
335	C₄×Dic₇	C₂³	1	1	yes	characteristic
336	C₄×Dic₇	C₂³	1	1	yes	characteristic
337	C₄×Dic₇	C₂³	1	1	yes	characteristic
338	C₄×Dic₇	C₂³	1	1	yes	characteristic
339	C₄×Dic₇	C₂³	1	1	yes	characteristic
340	C₄×Dic₇	C₂³	1	1	yes	characteristic
341	C₄×Dic₇	C₂³	1	1	yes	characteristic
342	C₄×Dic₇	C₂³	1	1	yes	characteristic
343	C₄×Dic₇	C₂³	1	1	yes	characteristic
344	C₄×Dic₇	C₂³	1	1	yes	characteristic
345	C₄×Dic₇	C₂³	1	1	yes	characteristic
346	#553	—	7	1	no	—
347	#553	—	7	1	no	—
348	#553	—	7	1	no	—
349	#553	—	7	1	no	—
350	#553	—	7	1	no	—
351	#553	—	7	1	no	—
352	#553	—	7	1	no	—
353	#553	—	7	1	no	—
354	#553	—	7	1	no	—
355	#553	—	7	1	no	—
356	#553	—	7	1	no	—
357	#553	D₇	1	1	yes	characteristic, complemented
358	#552	—	7	1	no	—
359	#552	—	7	1	no	—
360	#552	—	7	1	no	—
361	#552	—	7	1	no	—
362	#541	—	7	1	no	—
363	#541	—	7	1	no	—
364	#540	—	7	1	no	—
365	#540	—	7	1	no	—
366	#537	—	7	1	no	—
367	#537	—	7	1	no	—
368	#532	—	7	1	no	—
369	#529	—	7	1	no	—
370	#529	—	7	1	no	—
371	#529	—	7	1	no	—
372	#529	—	7	1	no	—
373	C₂×#125	—	7	1	no	—
374	#520	—	7	1	no	—
375	#520	—	7	1	no	—
376	C₄×#41	—	7	1	no	—
377	C₂³×C₇	C₂⁴	1	1	yes	characteristic
378	C₂³×C₇	C₂⁴	1	1	yes	characteristic
379	C₂³×C₇	C₂⁴	1	1	yes	characteristic
380	C₂³×C₇	C₂⁴	1	1	yes	characteristic
381	C₂²×D₇	C₂⁴	1	1	yes	characteristic
382	C₂²×D₇	C₂⁴	1	1	yes	characteristic
383	C₂²×D₇	C₂⁴	1	1	yes	characteristic
384	C₇×D₄	—	2	2	no	—
385	C₇×D₄	—	2	2	no	—
386	C₇×D₄	—	2	2	no	—
387	C₇×D₄	—	4	1	no	—
388	C₇×D₄	—	4	1	no	—
389	C₇×D₄	—	4	1	no	—
390	C₂×C₄×C₇	—	4	1	no	—
391	C₂×C₄×C₇	—	4	1	no	—
392	C₂×C₄×C₇	—	4	1	no	—
393	C₂×C₄×C₇	—	4	1	no	—
394	C₂×C₄×C₇	—	4	1	no	—
395	C₂×C₄×C₇	—	4	1	no	—
396	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
397	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
398	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
399	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
400	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
401	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
402	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
403	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
404	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
405	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
406	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
407	C₂²⋊D₇	—	2	2	no	—
408	C₂²⋊D₇	—	2	2	no	—
409	C₂²⋊D₇	—	2	2	no	—
410	C₂²⋊D₇	—	2	2	no	—
411	C₂²⋊D₇	—	2	2	no	—
412	C₂²⋊D₇	—	2	2	no	—
413	C₂²⋊D₇	—	4	1	no	—
414	C₂²⋊D₇	—	4	1	no	—
415	C₂²⋊D₇	—	4	1	no	—
416	C₂²⋊D₇	—	4	1	no	—
417	C₂²⋊D₇	—	4	1	no	—
418	C₂²⋊D₇	—	4	1	no	—
419	C₂×Dic₇	—	2	2	no	—
420	C₂×Dic₇	—	2	2	no	—
421	C₂×Dic₇	—	2	2	no	—
422	C₂×Dic₇	—	4	1	no	—
423	C₂×Dic₇	—	4	1	no	—
424	C₂×Dic₇	—	4	1	no	—
425	C₂×Dic₇	—	4	1	no	—
426	C₂×Dic₇	—	4	1	no	—
427	C₂×Dic₇	—	4	1	no	—
428	C₂×Dic₇	#41	1	4	yes	—
429	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
430	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
431	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
432	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
433	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
434	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
435	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
436	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
437	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
438	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
439	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
440	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
441	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
442	D₂₈	—	4	1	no	—
443	D₂₈	—	4	1	no	—
444	D₂₈	—	4	1	no	—
445	C₄×D₇	—	2	2	no	—
446	C₄×D₇	—	2	2	no	—
447	C₄×D₇	—	2	2	no	—
448	C₄×D₇	—	4	1	no	—
449	C₄×D₇	—	4	1	no	—
450	C₄×D₇	—	4	1	no	—
451	C₄×D₇	—	4	1	no	—
452	C₄×D₇	—	4	1	no	—
453	C₄×D₇	—	4	1	no	—
454	Dic₁₄	—	2	2	no	—
455	Dic₁₄	—	2	2	no	—
456	Dic₁₄	—	2	2	no	—
457	C₂×#41	—	7	1	no	—
458	C₂×#41	—	7	1	no	—
459	C₂×#41	—	7	1	no	—
460	C₄⋊Q₈	—	7	1	no	—
461	#127	—	7	1	no	—
462	#126	—	7	1	no	—
463	#126	—	7	1	no	—
464	#126	—	7	1	no	—
465	#126	—	7	1	no	—
466	#126	—	7	1	no	—
467	#126	—	7	1	no	—
468	#126	—	7	1	no	—
469	#126	—	7	1	no	—
470	#126	—	7	1	no	—
471	#126	—	7	1	no	—
472	#126	—	7	1	no	—
473	#126	—	7	1	no	—
474	#126	—	7	1	no	—
475	#126	—	7	1	no	—
476	#126	C₂×D₇	1	1	yes	characteristic
477	#126	C₂×D₇	1	1	yes	characteristic
478	#125	—	7	1	no	—
479	#125	—	7	1	no	—
480	#125	—	7	1	no	—
481	#125	—	7	1	no	—
482	#125	—	7	1	no	—
483	#125	—	7	1	no	—
484	#125	—	7	1	no	—
485	#125	—	7	1	no	—
486	#125	—	7	1	no	—
487	#125	—	7	1	no	—
488	#125	—	7	1	no	—
489	#125	—	7	1	no	—
490	#125	—	7	1	no	—
491	#125	—	7	1	no	—
492	#125	—	7	1	no	—
493	#125	C₂×D₇	1	1	yes	characteristic
494	#124	—	7	1	no	—
495	#124	—	7	1	no	—
496	#123	—	7	1	no	—
497	#123	—	7	1	no	—
498	#123	—	7	1	no	—
499	#123	—	7	1	no	—
500	#123	—	7	1	no	—
501	#123	—	7	1	no	—
502	#123	—	7	1	no	—
503	#123	—	7	1	no	—
504	#123	—	7	1	no	—
505	#123	—	7	1	no	—
506	#123	—	7	1	no	—
507	#123	—	7	1	no	—
508	#123	—	7	1	no	—
509	#123	—	7	1	no	—
510	#123	C₂×D₇	1	1	yes	characteristic
511	#123	C₂×D₇	1	1	yes	characteristic
512	C₂²⋊Q₈	—	7	1	no	—
513	C₂²⋊Q₈	—	7	1	no	—
514	C₂²⋊Q₈	—	7	1	no	—
515	C₂²⋊Q₈	—	7	1	no	—
516	C₂²⋊Q₈	—	7	1	no	—
517	C₂²⋊Q₈	—	7	1	no	—
518	C₂²⋊Q₈	—	7	1	no	—
519	C₂²⋊Q₈	—	7	1	no	—
520	#121	—	7	1	no	—
521	#121	—	7	1	no	—
522	#121	—	7	1	no	—
523	#121	—	7	1	no	—
524	#121	—	7	1	no	—
525	#121	—	7	1	no	—
526	#121	—	7	1	no	—
527	#121	—	7	1	no	—
528	#121	—	7	1	no	—
529	#121	—	7	1	no	—
530	#121	—	7	1	no	—
531	#121	—	7	1	no	—
532	#121	—	7	1	no	—
533	#121	—	7	1	no	—
534	#121	—	7	1	no	—
535	#121	—	7	1	no	—
536	#121	—	7	1	no	—
537	#121	—	7	1	no	—
538	#121	—	7	1	no	—
539	#121	—	7	1	no	—
540	#121	—	7	1	no	—
541	#121	—	7	1	no	—
542	#121	—	7	1	no	—
543	#121	—	7	1	no	—
544	#121	C₂×D₇	1	1	yes	characteristic
545	#121	C₂×D₇	1	1	yes	characteristic
546	#121	C₂×D₇	1	1	yes	characteristic
547	#121	C₂×D₇	1	1	yes	characteristic
548	C₄×Q₈	—	7	1	no	—
549	C₄×Q₈	—	7	1	no	—
550	C₄×Q₈	—	7	1	no	—
551	C₄×Q₈	—	7	1	no	—
552	C₄×Q₈	—	7	1	no	—
553	C₄×Q₈	—	7	1	no	—
554	C₄×D₄	—	7	1	no	—
555	C₄×D₄	—	7	1	no	—
556	C₄×D₄	—	7	1	no	—
557	C₄×D₄	—	7	1	no	—
558	C₄×D₄	—	7	1	no	—
559	C₄×D₄	—	7	1	no	—
560	C₄×D₄	—	7	1	no	—
561	C₄×D₄	—	7	1	no	—
562	C₄×D₄	—	7	1	no	—
563	C₄×D₄	—	7	1	no	—
564	C₄×D₄	—	7	1	no	—
565	C₄×D₄	—	7	1	no	—
566	C₄×D₄	—	7	1	no	—
567	C₄×D₄	—	7	1	no	—
568	C₄×D₄	—	7	1	no	—
569	C₄×D₄	—	7	1	no	—
570	C₄×D₄	—	7	1	no	—
571	C₄×D₄	—	7	1	no	—
572	C₄×D₄	—	7	1	no	—
573	C₄×D₄	—	7	1	no	—
574	C₄×D₄	—	7	1	no	—
575	C₄×D₄	—	7	1	no	—
576	C₄×D₄	—	7	1	no	—
577	C₄×D₄	—	7	1	no	—
578	C₄×D₄	—	7	1	no	—
579	C₄×D₄	—	7	1	no	—
580	C₄×D₄	C₂×D₇	1	1	yes	characteristic
581	C₄×D₄	C₂×D₇	1	1	yes	characteristic
582	C₄×D₄	C₂×D₇	1	1	yes	characteristic
583	C₄×D₄	C₂×D₇	1	1	yes	characteristic
584	#117	—	7	1	no	—
585	#117	—	7	1	no	—
586	#117	—	7	1	no	—
587	#117	—	7	1	no	—
588	#117	—	7	1	no	—
589	#117	—	7	1	no	—
590	#117	—	7	1	no	—
591	#117	—	7	1	no	—
592	#117	—	7	1	no	—
593	#117	—	7	1	no	—
594	#117	—	7	1	no	—
595	#117	—	7	1	no	—
596	#117	—	7	1	no	—
597	#117	—	7	1	no	—
598	#117	C₂×D₇	1	1	yes	characteristic
599	C₂×C₄⋊C₄	—	7	1	no	—
600	C₂×C₄⋊C₄	—	7	1	no	—
601	C₂×C₄⋊C₄	—	7	1	no	—
602	C₂×C₄⋊C₄	—	7	1	no	—
603	C₂×C₄⋊C₄	—	7	1	no	—
604	C₂×C₄⋊C₄	—	7	1	no	—
605	C₂×C₄⋊C₄	—	7	1	no	—
606	C₂×C₄⋊C₄	—	7	1	no	—
607	C₂×C₄⋊C₄	—	7	1	no	—
608	C₂×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
609	C₂×C₄²	—	7	1	no	—
610	C₂×C₄²	—	7	1	no	—
611	C₂×C₄²	—	7	1	no	—
612	C₂²×C₇	—	2	1	no	—
613	C₂²×C₇	—	2	1	no	—
614	C₂²×C₇	—	2	1	no	—
615	C₂²×C₇	—	2	1	no	—
616	C₂²×C₇	—	2	1	no	—
617	C₂²×C₇	—	2	1	no	—
618	C₂²×C₇	—	2	1	no	—
619	C₂²×C₇	—	2	1	no	—
620	C₂²×C₇	—	2	1	no	—
621	C₂²×C₇	—	2	1	no	—
622	C₂²×C₇	—	2	1	no	—
623	C₂²×C₇	C₂×#41	1	2	yes	—
624	C₂²×C₇	C₂⁵	1	1	yes	characteristic
625	C₂×D₇	—	2	1	no	—
626	C₂×D₇	—	2	1	no	—
627	C₂×D₇	—	2	1	no	—
628	C₂×D₇	—	2	1	no	—
629	C₂×D₇	—	2	1	no	—
630	C₂×D₇	—	2	1	no	—
631	C₂×D₇	—	2	1	no	—
632	C₂×D₇	—	2	1	no	—
633	C₂×D₇	—	2	1	no	—
634	C₄×C₇	—	2	1	no	—
635	C₄×C₇	—	2	1	no	—
636	C₄×C₇	—	2	1	no	—
637	C₄×C₇	—	2	1	no	—
638	C₄×C₇	—	2	1	no	—
639	C₄×C₇	—	2	1	no	—
640	C₄×C₇	—	2	1	no	—
641	C₄×C₇	—	2	1	no	—
642	C₄×C₇	—	2	1	no	—
643	C₄×C₇	—	2	1	no	—
644	C₄×C₇	—	2	1	no	—
645	Dic₇	—	2	1	no	—
646	Dic₇	—	2	1	no	—
647	Dic₇	—	2	1	no	—
648	Dic₇	—	2	1	no	—
649	Dic₇	—	2	1	no	—
650	Dic₇	—	2	1	no	—
651	Dic₇	—	2	1	no	—
652	Dic₇	—	2	1	no	—
653	Dic₇	—	2	1	no	—
654	Dic₇	—	2	1	no	—
655	Dic₇	—	2	1	no	—
656	Dic₇	C₂×#41	1	2	yes	—
657	Dic₇	C₂×#41	1	2	yes	—
658	#41	—	14	4	no	—
659	#41	—	14	4	no	—
660	#41	—	14	4	no	—
661	C₂×Q₈	—	7	1	no	—
662	C₂×Q₈	—	7	1	no	—
663	C₂×Q₈	—	7	1	no	—
664	C₂×D₄	—	7	1	no	—
665	C₂×D₄	—	7	1	no	—
666	C₂×D₄	—	7	1	no	—
667	C₂×D₄	—	7	1	no	—
668	C₂×D₄	—	7	1	no	—
669	C₂×D₄	—	7	1	no	—
670	C₂×D₄	—	7	1	no	—
671	C₂×D₄	—	7	1	no	—
672	C₂×D₄	—	7	1	no	—
673	C₂×D₄	—	7	1	no	—
674	C₂×D₄	—	7	1	no	—
675	C₂×D₄	—	7	1	no	—
676	C₂×D₄	—	7	1	no	—
677	C₂×D₄	—	7	1	no	—
678	C₂×D₄	—	7	1	no	—
679	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
680	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
681	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
682	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
683	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
684	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
685	C₂²×C₄	—	7	1	no	—
686	C₂²×C₄	—	7	1	no	—
687	C₂²×C₄	—	7	1	no	—
688	C₂²×C₄	—	7	1	no	—
689	C₂²×C₄	—	7	1	no	—
690	C₂²×C₄	—	7	1	no	—
691	C₂²×C₄	—	7	1	no	—
692	C₂²×C₄	—	7	1	no	—
693	C₂²×C₄	—	7	1	no	—
694	C₂²×C₄	—	7	1	no	—
695	C₂²×C₄	—	7	1	no	—
696	C₂²×C₄	—	7	1	no	—
697	C₂²×C₄	—	7	1	no	—
698	C₂²×C₄	—	7	1	no	—
699	C₂²×C₄	—	7	1	no	—
700	C₂²×C₄	—	7	1	no	—
701	C₂²×C₄	—	7	1	no	—
702	C₂²×C₄	—	7	1	no	—
703	C₂²×C₄	—	7	1	no	—
704	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
705	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
706	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
707	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
708	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
709	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
710	C₄⋊C₄	—	7	1	no	—
711	C₄⋊C₄	—	7	1	no	—
712	C₄⋊C₄	—	7	1	no	—
713	C₄⋊C₄	—	7	1	no	—
714	C₄⋊C₄	—	7	1	no	—
715	C₄⋊C₄	—	7	1	no	—
716	C₄⋊C₄	—	7	1	no	—
717	C₄⋊C₄	—	7	1	no	—
718	C₄⋊C₄	—	7	1	no	—
719	C₄⋊C₄	—	7	1	no	—
720	C₄⋊C₄	—	7	1	no	—
721	C₄⋊C₄	—	7	1	no	—
722	C₄⋊C₄	—	7	1	no	—
723	C₄⋊C₄	—	7	1	no	—
724	C₄⋊C₄	—	7	1	no	—
725	C₄⋊C₄	—	7	1	no	—
726	C₄⋊C₄	—	7	1	no	—
727	C₄⋊C₄	—	7	1	no	—
728	C₄⋊C₄	—	7	1	no	—
729	C₄⋊C₄	—	7	1	no	—
730	C₄⋊C₄	—	7	1	no	—
731	C₄⋊C₄	—	7	1	no	—
732	C₄⋊C₄	—	7	1	no	—
733	C₄⋊C₄	—	7	1	no	—
734	C₄⋊C₄	—	7	1	no	—
735	C₄⋊C₄	—	7	1	no	—
736	C₄⋊C₄	—	7	1	no	—
737	C₄⋊C₄	—	7	1	no	—
738	C₄⋊C₄	—	7	1	no	—
739	C₄⋊C₄	—	7	1	no	—
740	C₄⋊C₄	—	7	1	no	—
741	C₄⋊C₄	—	7	1	no	—
742	C₄⋊C₄	—	7	1	no	—
743	C₄⋊C₄	—	7	1	no	—
744	C₄⋊C₄	—	7	1	no	—
745	C₄⋊C₄	—	7	1	no	—
746	C₄⋊C₄	—	7	1	no	—
747	C₄⋊C₄	—	7	1	no	—
748	C₄⋊C₄	—	7	1	no	—
749	C₄⋊C₄	—	7	1	no	—
750	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
751	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
752	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
753	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
754	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
755	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
756	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
757	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
758	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
759	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
760	C₂²⋊C₄	—	7	1	no	—
761	C₂²⋊C₄	—	7	1	no	—
762	C₂²⋊C₄	—	7	1	no	—
763	C₂²⋊C₄	—	7	1	no	—
764	C₂²⋊C₄	—	7	1	no	—
765	C₂²⋊C₄	—	7	1	no	—
766	C₂²⋊C₄	—	7	1	no	—
767	C₂²⋊C₄	—	7	1	no	—
768	C₂²⋊C₄	—	7	1	no	—
769	C₂²⋊C₄	—	7	1	no	—
770	C₂²⋊C₄	—	7	1	no	—
771	C₂²⋊C₄	—	7	1	no	—
772	C₂²⋊C₄	—	7	1	no	—
773	C₂²⋊C₄	—	7	1	no	—
774	C₂²⋊C₄	—	7	1	no	—
775	C₂²⋊C₄	—	7	1	no	—
776	C₂²⋊C₄	—	7	1	no	—
777	C₂²⋊C₄	—	7	1	no	—
778	C₂²⋊C₄	—	7	1	no	—
779	C₂²⋊C₄	—	7	1	no	—
780	C₂²⋊C₄	—	7	1	no	—
781	C₂²⋊C₄	—	7	1	no	—
782	C₂²⋊C₄	—	7	1	no	—
783	C₂²⋊C₄	—	7	1	no	—
784	C₂²⋊C₄	—	7	1	no	—
785	C₂²⋊C₄	—	7	1	no	—
786	C₂²⋊C₄	—	7	1	no	—
787	C₂²⋊C₄	—	7	1	no	—
788	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
789	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
790	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
791	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
792	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
793	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
794	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
795	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
796	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
797	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
798	C₄²	—	7	1	no	—
799	C₄²	—	7	1	no	—
800	C₄²	—	7	1	no	—
801	C₄²	—	7	1	no	—
802	C₄²	—	7	1	no	—
803	C₄²	—	7	1	no	—
804	C₄²	—	7	1	no	—
805	C₄²	—	7	1	no	—
806	C₄²	—	7	1	no	—
807	C₄²	—	7	1	no	—
808	C₄²	—	7	1	no	—
809	C₄²	—	7	1	no	—
810	C₄²	—	7	1	no	—
811	C₄²	—	7	1	no	—
812	C₄²	—	7	1	no	—
813	C₄²	C₂²×D₇	1	1	yes	characteristic
814	C₄²	C₂²×D₇	1	1	yes	characteristic
815	C₄²	C₂²×D₇	1	1	yes	characteristic
816	C₂×C₇	—	2	2	no	—
817	C₂×C₇	—	4	1	no	—
818	C₂×C₇	—	4	1	no	—
819	C₂×C₇	—	4	1	no	—
820	C₂×C₇	C₂²×#41	1	1	yes	characteristic
821	C₂×C₇	#585	1	1	yes	characteristic
822	C₂×C₇	#585	1	1	yes	characteristic
823	D₇	—	4	1	no	—
824	D₇	—	4	1	no	—
825	D₇	—	4	1	no	—
826	C₂³	—	7	1	no	—
827	C₂³	—	7	1	no	—
828	C₂³	—	7	1	no	—
829	C₂³	C₂³×D₇	1	1	yes	characteristic
830	C₂³	C₂³×D₇	1	1	yes	characteristic
831	C₂³	C₂³×D₇	1	1	yes	characteristic
832	C₂³	C₂³×D₇	1	1	yes	characteristic
833	Q₈	—	14	2	no	—
834	Q₈	—	14	2	no	—
835	Q₈	—	14	2	no	—
836	D₄	—	2	2	no	—
837	D₄	—	2	2	no	—
838	D₄	—	2	2	no	—
839	D₄	—	4	1	no	—
840	D₄	—	4	1	no	—
841	D₄	—	4	1	no	—
842	D₄	—	14	2	no	—
843	D₄	—	14	2	no	—
844	D₄	—	14	2	no	—
845	D₄	—	14	2	no	—
846	D₄	—	14	2	no	—
847	D₄	—	14	2	no	—
848	D₄	—	28	1	no	—
849	D₄	—	28	1	no	—
850	D₄	—	28	1	no	—
851	D₄	—	28	1	no	—
852	D₄	—	28	1	no	—
853	D₄	—	28	1	no	—
854	D₄	—	28	1	no	—
855	D₄	—	28	1	no	—
856	D₄	—	28	1	no	—
857	C₂×C₄	—	4	1	no	—
858	C₂×C₄	—	4	1	no	—
859	C₂×C₄	—	4	1	no	—
860	C₂×C₄	—	4	1	no	—
861	C₂×C₄	—	4	1	no	—
862	C₂×C₄	—	4	1	no	—
863	C₂×C₄	—	7	4	no	—
864	C₂×C₄	—	7	1	no	—
865	C₂×C₄	—	7	1	no	—
866	C₂×C₄	—	7	1	no	—
867	C₂×C₄	—	7	1	no	—
868	C₂×C₄	—	7	1	no	—
869	C₂×C₄	—	7	1	no	—
870	C₂×C₄	—	7	1	no	—
871	C₂×C₄	—	7	1	no	—
872	C₂×C₄	—	7	1	no	—
873	C₂×C₄	—	7	1	no	—
874	C₂×C₄	—	7	1	no	—
875	C₂×C₄	—	7	1	no	—
876	C₂×C₄	—	7	1	no	—
877	C₂×C₄	—	14	2	no	—
878	C₂×C₄	—	14	2	no	—
879	C₂×C₄	—	14	2	no	—
880	C₂×C₄	—	14	2	no	—
881	C₂×C₄	—	14	2	no	—
882	C₂×C₄	—	14	2	no	—
883	C₂×C₄	—	28	1	no	—
884	C₂×C₄	—	28	1	no	—
885	C₂×C₄	—	28	1	no	—
886	C₂×C₄	—	28	1	no	—
887	C₂×C₄	—	28	1	no	—
888	C₂×C₄	—	28	1	no	—
889	C₂×C₄	—	28	1	no	—
890	C₂×C₄	—	28	1	no	—
891	C₂×C₄	—	28	1	no	—
892	C₂×C₄	—	28	1	no	—
893	C₂×C₄	—	28	1	no	—
894	C₂×C₄	—	28	1	no	—
895	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
896	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
897	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
898	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
899	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
900	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
901	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
902	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
903	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
904	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
905	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
906	C₇	#3512	1	1	yes	characteristic, complemented, Sylow
907	C₂²	—	2	1	no	—
908	C₂²	—	2	1	no	—
909	C₂²	—	2	1	no	—
910	C₂²	—	2	1	no	—
911	C₂²	—	2	1	no	—
912	C₂²	—	2	1	no	—
913	C₂²	—	2	1	no	—
914	C₂²	—	2	1	no	—
915	C₂²	—	2	1	no	—
916	C₂²	—	2	1	no	—
917	C₂²	—	2	1	no	—
918	C₂²	—	14	1	no	—
919	C₂²	—	14	1	no	—
920	C₂²	—	14	1	no	—
921	C₂²	—	14	1	no	—
922	C₂²	—	14	1	no	—
923	C₂²	—	14	1	no	—
924	C₂²	—	14	1	no	—
925	C₂²	—	14	1	no	—
926	C₂²	—	14	1	no	—
927	C₂²	D₇×#41	1	2	yes	—
928	C₂²	C₂⁴×D₇	1	1	yes	characteristic
929	C₄	—	2	1	no	—
930	C₄	—	2	1	no	—
931	C₄	—	2	1	no	—
932	C₄	—	2	1	no	—
933	C₄	—	2	1	no	—
934	C₄	—	2	1	no	—
935	C₄	—	2	1	no	—
936	C₄	—	2	1	no	—
937	C₄	—	2	1	no	—
938	C₄	—	2	1	no	—
939	C₄	—	2	1	no	—
940	C₄	—	7	2	no	—
941	C₄	—	7	2	no	—
942	C₄	—	14	1	no	—
943	C₄	—	14	1	no	—
944	C₄	—	14	1	no	—
945	C₄	—	14	1	no	—
946	C₄	—	14	1	no	—
947	C₄	—	14	1	no	—
948	C₄	—	14	1	no	—
949	C₄	—	14	1	no	—
950	C₄	—	14	1	no	—
951	C₄	—	14	1	no	—
952	C₄	—	14	1	no	—
953	C₂	—	2	2	no	—
954	C₂	—	4	1	no	—
955	C₂	—	4	1	no	—
956	C₂	—	4	1	no	—
957	C₂	—	28	1	no	—
958	C₂	—	28	1	no	—
959	C₂	—	28	1	no	—
960	C₂	C₂×D₇×#41	1	1	yes	characteristic
961	C₂	#90616	1	1	yes	characteristic
962	C₂	#90618	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₇
commutator, socle, cosocle	C₂²×C₇	C₂⁵
Fitting	C₇×#553	C₂
hypercenter	#553	D₇
hypocenter	C₇	#3512
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #553

Complements

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

N	H ≅ G/N	type
1. C₇×#553	C₂	semidirect
2. #90400	C₂	semidirect
3. #90399	C₂	semidirect
4. #90397	C₂	semidirect
5. #90392	C₂	semidirect
6. #90387	C₂	semidirect
7. #90384	C₂	semidirect
8. #90354	C₂	semidirect
9. #90352	C₂	semidirect
10. #90341	C₂	semidirect
11. #90340	C₂	semidirect
12. #90309	C₂	semidirect
13. #90306	C₂	semidirect
14. #90292	C₂	semidirect
15. #90292	C₂	semidirect
16. #90292	C₂	semidirect
17. #90288	C₂	semidirect
18. #90288	C₂	semidirect
19. #90287	C₂	semidirect
20. #90256	C₂	semidirect
21. #90237	C₂	semidirect
22. #90237	C₂	semidirect
23. #90231	C₂	semidirect
24. #90231	C₂	semidirect
25. #90231	C₂	semidirect
26. #90229	C₂	semidirect
27. C₄×#1159	C₂	semidirect
28. #90222	C₂	semidirect
29. #90219	C₂	semidirect
30. #90205	C₂	semidirect
31. C₂×#6452	C₂	semidirect
357. #553	D₇	semidirect
906. C₇	#3512	semidirect

Maximal subgroups

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

subgroup	index
C₇×#553	2
#90400	2
#90399	2
#90397	2
#90392	2
#90387	2
#90384	2
#90354	2
#90352	2
#90341	2
#90340	2
#90309	2
#90306	2
#90292	2
#90288	2
#90287	2
#90256	2
#90237	2
#90231	2
#90229	2
C₄×#1159	2
#90222	2
#90219	2
#90205	2
C₂×#6452	2
#3512	7