Subgroups — #11744082

Order 896.

954 conjugacy classes of subgroups.

The subgroup lattice has 952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#556	C₂	1	1	yes	maximal, characteristic, complemented
2	#90426	C₂	1	1	yes	maximal, characteristic, complemented
3	#90424	C₂	1	1	yes	maximal, characteristic, complemented
4	#90402	C₂	1	1	yes	maximal, characteristic, complemented
5	#90401	C₂	1	1	yes	maximal, characteristic, complemented
6	#90400	C₂	1	1	yes	maximal, characteristic, complemented
7	#90400	C₂	1	1	yes	maximal, characteristic, complemented
8	#90398	C₂	1	1	yes	maximal, characteristic, complemented
9	#90397	C₂	1	1	yes	maximal, characteristic, complemented
10	#90396	C₂	1	1	yes	maximal, characteristic, complemented
11	#90392	C₂	1	1	yes	maximal, characteristic, complemented
12	#90375	C₂	1	1	yes	maximal, characteristic, complemented
13	#90369	C₂	1	1	yes	maximal, characteristic, complemented
14	#90369	C₂	1	1	yes	maximal, characteristic, complemented
15	#90361	C₂	1	1	yes	maximal, characteristic, complemented
16	#90338	C₂	1	1	yes	maximal, characteristic, complemented
17	#90336	C₂	1	1	yes	maximal, characteristic, complemented
18	#90329	C₂	1	1	yes	maximal, characteristic, complemented
19	#90328	C₂	1	1	yes	maximal, characteristic, complemented
20	#90276	C₂	1	1	yes	maximal, characteristic, complemented
21	#90274	C₂	1	1	yes	maximal, characteristic, complemented
22	#90273	C₂	1	1	yes	maximal, characteristic, complemented
23	#90272	C₂	1	1	yes	maximal, characteristic, complemented
24	#90272	C₂	1	1	yes	maximal, characteristic, complemented
25	#90271	C₂	1	1	yes	maximal, characteristic, complemented
26	#90251	C₂	1	1	yes	maximal, characteristic, complemented
27	#90231	C₂	1	1	yes	maximal, characteristic, complemented
28	#90226	C₂	1	1	yes	maximal, characteristic, complemented
29	#90222	C₂	1	1	yes	maximal, characteristic, complemented
30	#90219	C₂	1	1	yes	maximal, characteristic, complemented
31	#90218	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₇×#126	C₂²	1	1	yes	characteristic
34	C₇×#126	C₂²	1	1	yes	characteristic
35	C₇×#126	C₂²	1	1	yes	characteristic, complemented
36	C₇×#126	C₂²	1	1	yes	characteristic, complemented
37	C₇×#124	C₂²	1	1	yes	characteristic
38	C₇×#124	C₂²	1	1	yes	characteristic
39	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
40	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
42	C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
43	C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
44	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
45	C₇×#117	C₂²	1	1	yes	characteristic
46	C₇×#117	C₂²	1	1	yes	characteristic, complemented
47	#6510	C₂²	1	1	yes	characteristic
48	#6510	C₂²	1	1	yes	characteristic
49	#6510	C₂²	1	1	yes	characteristic
50	#6510	C₂²	1	1	yes	characteristic, complemented
51	#6509	C₂²	1	1	yes	characteristic
52	#6509	C₂²	1	1	yes	characteristic
53	#6509	C₂²	1	1	yes	characteristic
54	#6509	C₂²	1	1	yes	characteristic, complemented
55	#6509	C₂²	1	1	yes	characteristic, complemented
56	#6509	C₂²	1	1	yes	characteristic, complemented
57	#6509	C₂²	1	1	yes	characteristic, complemented
58	#6507	C₂²	1	1	yes	characteristic, complemented
59	#6502	C₂²	1	1	yes	characteristic
60	#6502	C₂²	1	1	yes	characteristic
61	#6502	C₂²	1	1	yes	characteristic
62	#6500	C₂²	1	1	yes	characteristic
63	#6493	C₂²	1	1	yes	characteristic
64	#6493	C₂²	1	1	yes	characteristic, complemented
65	#6492	C₂²	1	1	yes	characteristic
66	#6492	C₂²	1	1	yes	characteristic
67	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
68	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
69	C₂×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
70	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
71	#6461	C₂²	1	1	yes	characteristic
72	#6461	C₂²	1	1	yes	characteristic
73	#6461	C₂²	1	1	yes	characteristic
74	#6461	C₂²	1	1	yes	characteristic
75	#6461	C₂²	1	1	yes	characteristic, complemented
76	#6461	C₂²	1	1	yes	characteristic, complemented
77	#6461	C₂²	1	1	yes	characteristic, complemented
78	#6460	C₂²	1	1	yes	characteristic
79	#6460	C₂²	1	1	yes	characteristic, complemented
80	#6459	C₂²	1	1	yes	characteristic
81	#6459	C₂²	1	1	yes	characteristic
82	#6459	C₂²	1	1	yes	characteristic, complemented
83	#6459	C₂²	1	1	yes	characteristic, complemented
84	#6458	C₂²	1	1	yes	characteristic
85	#6458	C₂²	1	1	yes	characteristic
86	#6458	C₂²	1	1	yes	characteristic
87	#6457	C₂²	1	1	yes	characteristic
88	#6457	C₂²	1	1	yes	characteristic
89	#6457	C₂²	1	1	yes	characteristic
90	#6457	C₂²	1	1	yes	characteristic
91	#6457	C₂²	1	1	yes	characteristic
92	#6457	C₂²	1	1	yes	characteristic
93	#6457	C₂²	1	1	yes	characteristic
94	#6457	C₂²	1	1	yes	characteristic
95	#6457	C₂²	1	1	yes	characteristic
96	#6457	C₂²	1	1	yes	characteristic
97	#6457	C₂²	1	1	yes	characteristic, complemented
98	#6457	C₂²	1	1	yes	characteristic, complemented
99	#6457	C₂²	1	1	yes	characteristic, complemented
100	#6457	C₂²	1	1	yes	characteristic, complemented
101	#6456	C₂²	1	1	yes	characteristic
102	#6456	C₂²	1	1	yes	characteristic
103	#6456	C₂²	1	1	yes	characteristic, complemented
104	#6455	C₂²	1	1	yes	characteristic
105	#6455	C₂²	1	1	yes	characteristic
106	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
107	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
108	#6453	C₂²	1	1	yes	characteristic, complemented
109	#6453	C₂²	1	1	yes	characteristic, complemented
110	#6452	C₂²	1	1	yes	characteristic, complemented
111	#6452	C₂²	1	1	yes	characteristic, complemented
112	#6452	C₂²	1	1	yes	characteristic, complemented
113	#6452	C₂²	1	1	yes	characteristic, complemented
114	#6452	C₂²	1	1	yes	characteristic, complemented
115	#6452	C₂²	1	1	yes	characteristic, complemented
116	#6452	C₂²	1	1	yes	characteristic, complemented
117	#6451	C₂²	1	1	yes	characteristic, complemented
118	#6450	C₂²	1	1	yes	characteristic, complemented
119	#6449	C₂²	1	1	yes	characteristic
120	#6449	C₂²	1	1	yes	characteristic
121	#6449	C₂²	1	1	yes	characteristic
122	#6449	C₂²	1	1	yes	characteristic, complemented
123	#6448	C₂²	1	1	yes	characteristic
124	#6448	C₂²	1	1	yes	characteristic
125	#6448	C₂²	1	1	yes	characteristic, complemented
126	#6447	C₂²	1	1	yes	characteristic
127	#6447	C₂²	1	1	yes	characteristic
128	#6447	C₂²	1	1	yes	characteristic
129	#6447	C₂²	1	1	yes	characteristic
130	#6447	C₂²	1	1	yes	characteristic
131	#6447	C₂²	1	1	yes	characteristic
132	#6447	C₂²	1	1	yes	characteristic
133	#6447	C₂²	1	1	yes	characteristic
134	#6447	C₂²	1	1	yes	characteristic, complemented
135	#6447	C₂²	1	1	yes	characteristic, complemented
136	#6446	C₂²	1	1	yes	characteristic
137	#6446	C₂²	1	1	yes	characteristic
138	#6446	C₂²	1	1	yes	characteristic
139	#6446	C₂²	1	1	yes	characteristic, complemented
140	#6445	C₂²	1	1	yes	characteristic
141	#6445	C₂²	1	1	yes	characteristic
142	#6445	C₂²	1	1	yes	characteristic
143	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
144	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
145	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
146	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
147	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
148	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
149	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
150	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
151	#6442	C₂²	1	1	yes	characteristic
152	#6442	C₂²	1	1	yes	characteristic
153	#6442	C₂²	1	1	yes	characteristic
154	#6441	C₂²	1	1	yes	characteristic
155	#6441	C₂²	1	1	yes	characteristic
156	#6441	C₂²	1	1	yes	characteristic, complemented
157	#6440	C₂²	1	1	yes	characteristic
158	#6440	C₂²	1	1	yes	characteristic, complemented
159	#6439	C₂²	1	1	yes	characteristic
160	#6439	C₂²	1	1	yes	characteristic
161	#6439	C₂²	1	1	yes	characteristic
162	#6439	C₂²	1	1	yes	characteristic
163	#6439	C₂²	1	1	yes	characteristic
164	#6439	C₂²	1	1	yes	characteristic, complemented
165	#6438	C₂²	1	1	yes	characteristic
166	#6438	C₂²	1	1	yes	characteristic
167	#6438	C₂²	1	1	yes	characteristic, complemented
168	#6437	C₂²	1	1	yes	characteristic
169	C₄×D₂₈	C₂²	1	1	yes	characteristic
170	C₄×D₂₈	C₂²	1	1	yes	characteristic
171	C₄×D₂₈	C₂²	1	1	yes	characteristic
172	C₄×D₂₈	C₂²	1	1	yes	characteristic
173	C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
174	C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
175	#6435	C₂²	1	1	yes	characteristic
176	#6435	C₂²	1	1	yes	characteristic
177	#6435	C₂²	1	1	yes	characteristic, complemented
178	#6435	C₂²	1	1	yes	characteristic, complemented
179	#6435	C₂²	1	1	yes	characteristic, complemented
180	#6435	C₂²	1	1	yes	characteristic, complemented
181	C₄²×D₇	C₂²	1	1	yes	characteristic, complemented
182	#6433	C₂²	1	1	yes	characteristic, complemented
183	#6433	C₂²	1	1	yes	characteristic, complemented
184	#6433	C₂²	1	1	yes	characteristic, complemented
185	C₄×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
186	C₄×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
187	#3566	—	7	1	no	maximal, Sylow
188	C₂³×D₇	C₂³	1	1	yes	characteristic
189	C₂×C₇×Q₈	C₂³	1	1	yes	characteristic
190	C₂×C₇×Q₈	C₂³	1	1	yes	characteristic
191	C₂×C₇×Q₈	C₂³	1	1	yes	characteristic
192	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
193	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
195	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
196	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
197	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
199	C₂×C₂²⋊D₇	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	C₂²×Dic₇	C₂³	1	1	yes	characteristic
204	C₂²×Dic₇	C₂³	1	1	yes	characteristic
205	C₂²×Dic₇	C₂³	1	1	yes	characteristic
206	C₂×D₂₈	C₂³	1	1	yes	characteristic
207	C₂×D₂₈	C₂³	1	1	yes	characteristic
208	C₂×D₂₈	C₂³	1	1	yes	characteristic
209	C₂×D₂₈	C₂³	1	1	yes	characteristic
210	C₂×D₂₈	C₂³	1	1	yes	characteristic
211	C₂×D₂₈	C₂³	1	1	yes	characteristic
212	C₂×D₂₈	C₂³	1	1	yes	characteristic
213	C₂×D₂₈	C₂³	1	1	yes	characteristic
214	C₂×D₂₈	C₂³	1	1	yes	characteristic
215	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
216	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
217	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
218	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
219	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
220	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
221	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
222	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
223	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
224	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
225	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
226	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
227	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
228	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
231	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₇×C₄⋊C₄	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
244	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
245	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
246	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
247	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
248	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
249	C₇×C₂²⋊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	C₄²×C₇	C₂³	1	1	yes	characteristic
254	C₄²×C₇	C₂³	1	1	yes	characteristic
255	C₄²×C₇	C₂³	1	1	yes	characteristic
256	C₄²×C₇	C₂³	1	1	yes	characteristic
257	C₄²×C₇	C₂³	1	1	yes	characteristic
258	C₄²×C₇	C₂³	1	1	yes	characteristic
259	C₄²×C₇	C₂³	1	1	yes	characteristic
260	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
261	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
262	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
263	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
264	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
265	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
266	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
267	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
268	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
269	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
270	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
271	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
272	(C₂×D₇)⋊C₄	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	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
292	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
293	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
294	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
295	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×D₇)⋊C₄	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	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
302	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
303	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
304	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
305	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
306	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
307	C₄⋊Dic₇	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	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
332	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
333	Dic₇⋊C₄	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	#563	—	7	1	no	—
344	#562	—	7	1	no	—
345	#562	—	7	1	no	—
346	#560	—	7	1	no	—
347	#559	—	7	1	no	—
348	#556	D₇	1	1	yes	characteristic, complemented
349	#555	—	7	1	no	—
350	#553	—	7	1	no	—
351	#553	—	7	1	no	—
352	#553	—	7	1	no	—
353	#552	—	7	1	no	—
354	#552	—	7	1	no	—
355	#552	—	7	1	no	—
356	#551	—	7	1	no	—
357	#551	—	7	1	no	—
358	#551	—	7	1	no	—
359	#542	—	7	1	no	—
360	#542	—	7	1	no	—
361	#542	—	7	1	no	—
362	#541	—	7	1	no	—
363	#541	—	7	1	no	—
364	#540	—	7	1	no	—
365	#539	—	7	1	no	—
366	#539	—	7	1	no	—
367	#539	—	7	1	no	—
368	#538	—	7	1	no	—
369	#538	—	7	1	no	—
370	#538	—	7	1	no	—
371	#529	—	7	1	no	—
372	#529	—	7	1	no	—
373	#529	—	7	1	no	—
374	C₂³×C₇	C₂⁴	1	1	yes	characteristic
375	C₂³×C₇	C₂⁴	1	1	yes	characteristic
376	C₂²×D₇	—	4	1	no	—
377	C₂²×D₇	—	4	1	no	—
378	C₂²×D₇	—	4	1	no	—
379	C₂²×D₇	C₂⁴	1	1	yes	characteristic
380	C₂²×D₇	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×Q₈	—	4	1	no	—
385	C₇×Q₈	—	4	1	no	—
386	C₇×Q₈	—	4	1	no	—
387	C₇×D₄	—	4	1	no	—
388	C₂×C₄×C₇	—	4	1	no	—
389	C₂×C₄×C₇	—	4	1	no	—
390	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
391	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
392	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
393	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
394	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
395	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
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	C₂²⋊D₇	—	4	1	no	—
404	C₂²⋊D₇	—	4	1	no	—
405	C₂²⋊D₇	—	4	1	no	—
406	C₂²⋊D₇	—	4	1	no	—
407	C₂²⋊D₇	—	4	1	no	—
408	C₂²⋊D₇	—	4	1	no	—
409	C₂²⋊D₇	—	4	1	no	—
410	C₂²⋊D₇	—	4	1	no	—
411	C₂×Dic₇	—	4	1	no	—
412	C₂×Dic₇	—	4	1	no	—
413	C₂×Dic₇	—	4	1	no	—
414	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
415	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
416	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
417	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
418	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
419	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
420	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
421	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
422	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
423	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
424	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
425	D₂₈	—	4	1	no	—
426	D₂₈	—	4	1	no	—
427	D₂₈	—	4	1	no	—
428	D₂₈	—	4	1	no	—
429	D₂₈	—	4	1	no	—
430	D₂₈	—	4	1	no	—
431	D₂₈	—	4	1	no	—
432	D₂₈	—	4	1	no	—
433	D₂₈	—	4	1	no	—
434	C₄×D₇	—	4	1	no	—
435	C₄×D₇	—	4	1	no	—
436	C₄×D₇	—	4	1	no	—
437	C₄×D₇	—	4	1	no	—
438	C₄×D₇	—	4	1	no	—
439	C₄×D₇	—	4	1	no	—
440	C₄×D₇	—	4	1	no	—
441	C₄×D₇	—	4	1	no	—
442	C₄×D₇	—	4	1	no	—
443	C₄×D₇	—	4	1	no	—
444	C₄×D₇	—	4	1	no	—
445	C₄×D₇	—	4	1	no	—
446	C₄×D₇	—	4	1	no	—
447	Dic₁₄	—	4	1	no	—
448	Dic₁₄	—	4	1	no	—
449	Dic₁₄	—	4	1	no	—
450	C₄⋊Q₈	—	7	1	no	—
451	C₄⋊Q₈	—	7	1	no	—
452	C₄⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
453	#127	—	7	1	no	—
454	#126	—	7	1	no	—
455	#126	—	7	1	no	—
456	#126	—	7	1	no	—
457	#126	—	7	1	no	—
458	#126	—	7	1	no	—
459	#126	—	7	1	no	—
460	#126	—	7	1	no	—
461	#126	—	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	C₂×D₇	1	1	yes	characteristic
471	#126	C₂×D₇	1	1	yes	characteristic
472	#126	C₂×D₇	1	1	yes	characteristic, complemented
473	#126	C₂×D₇	1	1	yes	characteristic, complemented
474	#125	—	7	1	no	—
475	#125	—	7	1	no	—
476	#125	—	7	1	no	—
477	#125	—	7	1	no	—
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	#124	—	7	1	no	—
487	#124	—	7	1	no	—
488	#124	—	7	1	no	—
489	#124	—	7	1	no	—
490	#124	—	7	1	no	—
491	#124	—	7	1	no	—
492	#124	—	7	1	no	—
493	#124	—	7	1	no	—
494	#124	—	7	1	no	—
495	#124	—	7	1	no	—
496	#124	C₂×D₇	1	1	yes	characteristic
497	#124	C₂×D₇	1	1	yes	characteristic
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	—	7	1	no	—
511	#123	—	7	1	no	—
512	#123	—	7	1	no	—
513	#123	—	7	1	no	—
514	#123	—	7	1	no	—
515	#123	—	7	1	no	—
516	#123	—	7	1	no	—
517	#123	—	7	1	no	—
518	#123	—	7	1	no	—
519	#123	—	7	1	no	—
520	#123	—	7	1	no	—
521	#123	—	7	1	no	—
522	C₂²⋊Q₈	—	7	1	no	—
523	C₂²⋊Q₈	—	7	1	no	—
524	C₂²⋊Q₈	—	7	1	no	—
525	C₂²⋊Q₈	—	7	1	no	—
526	C₂²⋊Q₈	—	7	1	no	—
527	C₂²⋊Q₈	—	7	1	no	—
528	C₂²⋊Q₈	—	7	1	no	—
529	C₂²⋊Q₈	—	7	1	no	—
530	C₂²⋊Q₈	—	7	1	no	—
531	C₂²⋊Q₈	—	7	1	no	—
532	C₂²⋊Q₈	—	7	1	no	—
533	C₂²⋊Q₈	—	7	1	no	—
534	C₂²⋊Q₈	—	7	1	no	—
535	C₂²⋊Q₈	—	7	1	no	—
536	C₂²⋊Q₈	—	7	1	no	—
537	C₂²⋊Q₈	—	7	1	no	—
538	C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic
539	C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
540	#121	—	7	1	no	—
541	#121	—	7	1	no	—
542	#121	—	7	1	no	—
543	#121	—	7	1	no	—
544	#121	—	7	1	no	—
545	#121	—	7	1	no	—
546	#121	—	7	1	no	—
547	#121	—	7	1	no	—
548	#121	—	7	1	no	—
549	#121	—	7	1	no	—
550	#121	—	7	1	no	—
551	#121	—	7	1	no	—
552	#121	—	7	1	no	—
553	#121	—	7	1	no	—
554	#121	—	7	1	no	—
555	#121	—	7	1	no	—
556	#121	—	7	1	no	—
557	#121	—	7	1	no	—
558	#120	—	7	1	no	—
559	#120	—	7	1	no	—
560	#120	—	7	1	no	—
561	#120	—	7	1	no	—
562	C₄×Q₈	—	7	1	no	—
563	C₄×Q₈	—	7	1	no	—
564	C₄×Q₈	—	7	1	no	—
565	C₄×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
566	C₄×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
567	C₄×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
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	—	7	1	no	—
581	C₄×D₄	—	7	1	no	—
582	C₄×D₄	—	7	1	no	—
583	C₄×D₄	—	7	1	no	—
584	C₄×D₄	—	7	1	no	—
585	C₄×D₄	C₂×D₇	1	1	yes	characteristic
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	C₂×D₇	1	1	yes	characteristic
597	#117	C₂×D₇	1	1	yes	characteristic, complemented
598	C₂×C₄⋊C₄	—	7	1	no	—
599	C₂×C₄⋊C₄	—	7	1	no	—
600	C₂×C₄⋊C₄	—	7	1	no	—
601	C₂×C₂²⋊C₄	—	7	1	no	—
602	C₂×C₂²⋊C₄	—	7	1	no	—
603	C₂×C₂²⋊C₄	—	7	1	no	—
604	C₂×C₄²	—	7	1	no	—
605	C₂²×C₇	—	2	1	no	—
606	C₂²×C₇	—	2	1	no	—
607	C₂²×C₇	—	2	1	no	—
608	C₂²×C₇	—	2	1	no	—
609	C₂²×C₇	—	2	1	no	—
610	C₂²×C₇	—	2	1	no	—
611	C₂²×C₇	C₂⁵	1	1	yes	characteristic
612	C₂×D₇	—	2	1	no	—
613	C₂×D₇	—	2	1	no	—
614	C₂×D₇	—	2	1	no	—
615	C₂×D₇	—	2	1	no	—
616	C₂×D₇	—	2	1	no	—
617	C₂×D₇	—	2	1	no	—
618	C₂×D₇	—	2	1	no	—
619	C₂×D₇	—	2	1	no	—
620	C₂×D₇	—	2	1	no	—
621	C₂×D₇	—	2	1	no	—
622	C₂×D₇	—	2	1	no	—
623	C₂×D₇	—	2	1	no	—
624	C₂×D₇	—	2	1	no	—
625	C₂×D₇	—	2	1	no	—
626	C₂×D₇	—	2	1	no	—
627	C₂×D₇	—	8	2	no	—
628	C₄×C₇	—	2	1	no	—
629	C₄×C₇	—	2	1	no	—
630	C₄×C₇	—	2	1	no	—
631	C₄×C₇	—	2	1	no	—
632	C₄×C₇	—	2	1	no	—
633	C₄×C₇	—	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	Dic₇	—	2	1	no	—
642	Dic₇	—	2	1	no	—
643	Dic₇	—	2	1	no	—
644	Dic₇	—	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	C₂⁴	—	7	1	no	—
653	C₂×Q₈	—	7	1	no	—
654	C₂×Q₈	—	7	1	no	—
655	C₂×Q₈	—	7	1	no	—
656	C₂×Q₈	C₂²×D₇	1	1	yes	characteristic
657	C₂×Q₈	C₂²×D₇	1	1	yes	characteristic
658	C₂×Q₈	C₂²×D₇	1	1	yes	characteristic
659	C₂×D₄	—	7	1	no	—
660	C₂×D₄	—	7	1	no	—
661	C₂×D₄	—	7	1	no	—
662	C₂×D₄	—	7	1	no	—
663	C₂×D₄	—	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	C₂²×D₇	1	1	yes	characteristic
677	C₂²×C₄	—	7	1	no	—
678	C₂²×C₄	—	7	1	no	—
679	C₂²×C₄	—	7	1	no	—
680	C₂²×C₄	—	7	1	no	—
681	C₂²×C₄	—	7	1	no	—
682	C₂²×C₄	—	7	1	no	—
683	C₂²×C₄	—	7	1	no	—
684	C₂²×C₄	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
694	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
695	C₄⋊C₄	—	7	1	no	—
696	C₄⋊C₄	—	7	1	no	—
697	C₄⋊C₄	—	7	1	no	—
698	C₄⋊C₄	—	7	1	no	—
699	C₄⋊C₄	—	7	1	no	—
700	C₄⋊C₄	—	7	1	no	—
701	C₄⋊C₄	—	7	1	no	—
702	C₄⋊C₄	—	7	1	no	—
703	C₄⋊C₄	—	7	1	no	—
704	C₄⋊C₄	—	7	1	no	—
705	C₄⋊C₄	—	7	1	no	—
706	C₄⋊C₄	—	7	1	no	—
707	C₄⋊C₄	—	7	1	no	—
708	C₄⋊C₄	—	7	1	no	—
709	C₄⋊C₄	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
732	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
733	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
734	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
735	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
736	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
737	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
738	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
739	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
740	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
741	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
742	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
743	C₂²⋊C₄	—	7	1	no	—
744	C₂²⋊C₄	—	7	1	no	—
745	C₂²⋊C₄	—	7	1	no	—
746	C₂²⋊C₄	—	7	1	no	—
747	C₂²⋊C₄	—	7	1	no	—
748	C₂²⋊C₄	—	7	1	no	—
749	C₂²⋊C₄	—	7	1	no	—
750	C₂²⋊C₄	—	7	1	no	—
751	C₂²⋊C₄	—	7	1	no	—
752	C₂²⋊C₄	—	7	1	no	—
753	C₂²⋊C₄	—	7	1	no	—
754	C₂²⋊C₄	—	7	1	no	—
755	C₂²⋊C₄	—	7	1	no	—
756	C₂²⋊C₄	—	7	1	no	—
757	C₂²⋊C₄	—	7	1	no	—
758	C₂²⋊C₄	—	7	1	no	—
759	C₂²⋊C₄	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
782	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
783	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
784	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
785	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
786	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
787	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
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	C₄²	—	7	1	no	—
792	C₄²	—	7	1	no	—
793	C₄²	—	7	1	no	—
794	C₄²	—	7	1	no	—
795	C₄²	—	7	1	no	—
796	C₄²	—	7	1	no	—
797	C₄²	—	7	1	no	—
798	C₄²	—	7	1	no	—
799	C₄²	—	7	1	no	—
800	C₄²	C₂²×D₇	1	1	yes	characteristic
801	C₄²	C₂²×D₇	1	1	yes	characteristic
802	C₄²	C₂²×D₇	1	1	yes	characteristic
803	C₄²	C₂²×D₇	1	1	yes	characteristic
804	C₄²	C₂²×D₇	1	1	yes	characteristic
805	C₄²	C₂²×D₇	1	1	yes	characteristic
806	C₄²	C₂²×D₇	1	1	yes	characteristic
807	C₂×C₇	—	4	1	no	—
808	C₂×C₇	—	4	1	no	—
809	C₂×C₇	#585	1	1	yes	characteristic
810	C₂×C₇	#585	1	1	yes	characteristic
811	C₂×C₇	#585	1	1	yes	characteristic
812	D₇	—	4	1	no	—
813	D₇	—	4	1	no	—
814	D₇	—	4	1	no	—
815	D₇	—	4	1	no	—
816	D₇	—	4	1	no	—
817	C₂³	—	7	1	no	—
818	C₂³	—	7	1	no	—
819	C₂³	—	7	1	no	—
820	C₂³	—	7	1	no	—
821	C₂³	—	7	1	no	—
822	C₂³	—	28	1	no	—
823	C₂³	—	28	1	no	—
824	C₂³	—	28	1	no	—
825	C₂³	C₂³×D₇	1	1	yes	characteristic
826	C₂³	C₂³×D₇	1	1	yes	characteristic
827	Q₈	—	4	1	no	—
828	Q₈	—	4	1	no	—
829	Q₈	—	4	1	no	—
830	Q₈	—	28	1	no	—
831	Q₈	—	28	1	no	—
832	Q₈	—	28	1	no	—
833	D₄	—	4	1	no	—
834	D₄	—	28	1	no	—
835	D₄	—	28	1	no	—
836	D₄	—	28	1	no	—
837	D₄	—	28	1	no	—
838	D₄	—	28	1	no	—
839	D₄	—	28	1	no	—
840	D₄	—	28	1	no	—
841	D₄	—	28	1	no	—
842	D₄	—	28	1	no	—
843	D₄	—	28	1	no	—
844	D₄	—	28	1	no	—
845	D₄	—	28	1	no	—
846	D₄	—	28	1	no	—
847	D₄	—	28	1	no	—
848	D₄	—	28	1	no	—
849	D₄	—	28	1	no	—
850	D₄	—	28	1	no	—
851	C₂×C₄	—	4	1	no	—
852	C₂×C₄	—	4	1	no	—
853	C₂×C₄	—	7	1	no	—
854	C₂×C₄	—	7	1	no	—
855	C₂×C₄	—	7	1	no	—
856	C₂×C₄	—	7	1	no	—
857	C₂×C₄	—	7	1	no	—
858	C₂×C₄	—	7	1	no	—
859	C₂×C₄	—	7	1	no	—
860	C₂×C₄	—	7	1	no	—
861	C₂×C₄	—	7	1	no	—
862	C₂×C₄	—	7	1	no	—
863	C₂×C₄	—	7	1	no	—
864	C₂×C₄	—	28	1	no	—
865	C₂×C₄	—	28	1	no	—
866	C₂×C₄	—	28	1	no	—
867	C₂×C₄	—	28	1	no	—
868	C₂×C₄	—	28	1	no	—
869	C₂×C₄	—	28	1	no	—
870	C₂×C₄	—	28	1	no	—
871	C₂×C₄	—	28	1	no	—
872	C₂×C₄	—	28	1	no	—
873	C₂×C₄	—	28	1	no	—
874	C₂×C₄	—	28	1	no	—
875	C₂×C₄	—	28	1	no	—
876	C₂×C₄	—	28	1	no	—
877	C₂×C₄	—	28	1	no	—
878	C₂×C₄	—	28	1	no	—
879	C₂×C₄	—	28	1	no	—
880	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
881	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
882	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
883	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
884	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
885	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
886	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
887	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
888	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
889	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
890	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
891	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
892	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
893	C₇	#3566	1	1	yes	characteristic, complemented, Sylow
894	C₂²	—	2	1	no	—
895	C₂²	—	2	1	no	—
896	C₂²	—	2	1	no	—
897	C₂²	—	2	1	no	—
898	C₂²	—	2	1	no	—
899	C₂²	—	2	1	no	—
900	C₂²	—	14	1	no	—
901	C₂²	—	14	1	no	—
902	C₂²	—	14	1	no	—
903	C₂²	—	14	1	no	—
904	C₂²	—	14	1	no	—
905	C₂²	—	14	1	no	—
906	C₂²	—	14	1	no	—
907	C₂²	—	14	1	no	—
908	C₂²	—	14	1	no	—
909	C₂²	—	14	1	no	—
910	C₂²	—	14	1	no	—
911	C₂²	—	14	1	no	—
912	C₂²	—	14	1	no	—
913	C₂²	—	14	1	no	—
914	C₂²	—	14	1	no	—
915	C₂²	—	56	2	no	—
916	C₂²	C₂⁴×D₇	1	1	yes	characteristic
917	C₄	—	2	1	no	—
918	C₄	—	2	1	no	—
919	C₄	—	2	1	no	—
920	C₄	—	2	1	no	—
921	C₄	—	2	1	no	—
922	C₄	—	2	1	no	—
923	C₄	—	2	1	no	—
924	C₄	—	2	1	no	—
925	C₄	—	2	1	no	—
926	C₄	—	2	1	no	—
927	C₄	—	2	1	no	—
928	C₄	—	2	1	no	—
929	C₄	—	2	1	no	—
930	C₄	—	14	1	no	—
931	C₄	—	14	1	no	—
932	C₄	—	14	1	no	—
933	C₄	—	14	1	no	—
934	C₄	—	14	1	no	—
935	C₄	—	14	1	no	—
936	C₄	—	14	1	no	—
937	C₄	—	14	1	no	—
938	C₄	—	14	1	no	—
939	C₄	—	14	1	no	—
940	C₄	—	14	1	no	—
941	C₂	—	4	1	no	—
942	C₂	—	4	1	no	—
943	C₂	—	28	1	no	—
944	C₂	—	28	1	no	—
945	C₂	—	28	1	no	—
946	C₂	—	28	1	no	—
947	C₂	—	28	1	no	—
948	C₂	#90616	1	1	yes	characteristic
949	C₂	#90616	1	1	yes	characteristic
950	C₂	#90620	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₇
commutator, socle, cosocle	C₂²×C₇	C₂⁵
Fitting	C₇×#556	C₂
hypercenter	#556	D₇
hypocenter	C₇	#3566
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #556

Complements

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

N	H ≅ G/N	type
1. C₇×#556	C₂	semidirect
2. #90426	C₂	semidirect
3. #90424	C₂	semidirect
4. #90402	C₂	semidirect
5. #90401	C₂	semidirect
6. #90400	C₂	semidirect
7. #90400	C₂	semidirect
8. #90398	C₂	semidirect
9. #90397	C₂	semidirect
10. #90396	C₂	semidirect
11. #90392	C₂	semidirect
12. #90375	C₂	semidirect
13. #90369	C₂	semidirect
14. #90369	C₂	semidirect
15. #90361	C₂	semidirect
16. #90338	C₂	semidirect
17. #90336	C₂	semidirect
18. #90329	C₂	semidirect
19. #90328	C₂	semidirect
20. #90276	C₂	semidirect
21. #90274	C₂	semidirect
22. #90273	C₂	semidirect
23. #90272	C₂	semidirect
24. #90272	C₂	semidirect
25. #90271	C₂	semidirect
26. #90251	C₂	semidirect
27. #90231	C₂	semidirect
28. #90226	C₂	semidirect
29. #90222	C₂	semidirect
30. #90219	C₂	semidirect
31. #90218	C₂	semidirect
32. C₇×C₄⋊Q₈	C₂²	semidirect
35. C₇×#126	C₂²	semidirect
36. C₇×#126	C₂²	semidirect
40. C₇×C₂²⋊Q₈	C₂²	semidirect
41. C₄×C₇×Q₈	C₂²	semidirect
42. C₄×C₇×Q₈	C₂²	semidirect
43. C₄×C₇×Q₈	C₂²	semidirect
46. C₇×#117	C₂²	semidirect
50. #6510	C₂²	semidirect
54. #6509	C₂²	semidirect
55. #6509	C₂²	semidirect
56. #6509	C₂²	semidirect
57. #6509	C₂²	semidirect
58. #6507	C₂²	semidirect
64. #6493	C₂²	semidirect
70. C₂×Dic₇⋊C₄	C₂²	semidirect
75. #6461	C₂²	semidirect
76. #6461	C₂²	semidirect
77. #6461	C₂²	semidirect
79. #6460	C₂²	semidirect
82. #6459	C₂²	semidirect
83. #6459	C₂²	semidirect
97. #6457	C₂²	semidirect
98. #6457	C₂²	semidirect
99. #6457	C₂²	semidirect
100. #6457	C₂²	semidirect
103. #6456	C₂²	semidirect
106. D₇×C₄⋊C₄	C₂²	semidirect
107. D₇×C₄⋊C₄	C₂²	semidirect
108. #6453	C₂²	semidirect
109. #6453	C₂²	semidirect
110. #6452	C₂²	semidirect
111. #6452	C₂²	semidirect
112. #6452	C₂²	semidirect
113. #6452	C₂²	semidirect
114. #6452	C₂²	semidirect
115. #6452	C₂²	semidirect
116. #6452	C₂²	semidirect
117. #6451	C₂²	semidirect
118. #6450	C₂²	semidirect
122. #6449	C₂²	semidirect
125. #6448	C₂²	semidirect
134. #6447	C₂²	semidirect
135. #6447	C₂²	semidirect
139. #6446	C₂²	semidirect
146. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
147. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
148. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
156. #6441	C₂²	semidirect
158. #6440	C₂²	semidirect
164. #6439	C₂²	semidirect
167. #6438	C₂²	semidirect
173. C₄×D₂₈	C₂²	semidirect
174. C₄×D₂₈	C₂²	semidirect
177. #6435	C₂²	semidirect
178. #6435	C₂²	semidirect
179. #6435	C₂²	semidirect
180. #6435	C₂²	semidirect
181. C₄²×D₇	C₂²	semidirect
182. #6433	C₂²	semidirect
183. #6433	C₂²	semidirect
184. #6433	C₂²	semidirect
185. C₄×Dic₁₄	C₂²	semidirect
186. C₄×Dic₁₄	C₂²	semidirect
348. #556	D₇	semidirect
452. C₄⋊Q₈	C₂×D₇	semidirect
472. #126	C₂×D₇	semidirect
473. #126	C₂×D₇	semidirect
539. C₂²⋊Q₈	C₂×D₇	semidirect
565. C₄×Q₈	C₂×D₇	semidirect
566. C₄×Q₈	C₂×D₇	semidirect
567. C₄×Q₈	C₂×D₇	semidirect
597. #117	C₂×D₇	semidirect
893. C₇	#3566	semidirect

Maximal subgroups

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

subgroup	index
C₇×#556	2
#90426	2
#90424	2
#90402	2
#90401	2
#90400	2
#90398	2
#90397	2
#90396	2
#90392	2
#90375	2
#90369	2
#90361	2
#90338	2
#90336	2
#90329	2
#90328	2
#90276	2
#90274	2
#90273	2
#90272	2
#90271	2
#90251	2
#90231	2
#90226	2
#90222	2
#90219	2
#90218	2
#3566	7