Subgroups — #11744070

Order 896.

958 conjugacy classes of subgroups.

The subgroup lattice has 954 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	#90403	C₂	1	1	yes	maximal, characteristic, complemented
5	#90397	C₂	1	1	yes	maximal, characteristic, complemented
6	#90396	C₂	1	1	yes	maximal, characteristic, complemented
7	#90395	C₂	1	1	yes	maximal, characteristic, complemented
8	#90395	C₂	1	1	yes	maximal, characteristic, complemented
9	#90395	C₂	1	1	yes	maximal, characteristic, complemented
10	#90393	C₂	1	1	yes	maximal, characteristic, complemented
11	#90393	C₂	1	1	yes	maximal, characteristic, complemented
12	#90374	C₂	1	1	yes	maximal, characteristic, complemented
13	#90370	C₂	1	1	yes	maximal, characteristic, complemented
14	#90369	C₂	1	1	yes	maximal, characteristic, complemented
15	#90360	C₂	1	1	yes	maximal, characteristic, complemented
16	#90337	C₂	1	1	yes	maximal, characteristic, complemented
17	#90335	C₂	1	1	yes	maximal, characteristic, complemented
18	#90331	C₂	1	1	yes	maximal, characteristic, complemented
19	#90328	C₂	1	1	yes	maximal, characteristic, complemented
20	#90275	C₂	1	1	yes	maximal, characteristic, complemented
21	#90273	C₂	1	1	yes	maximal, characteristic, complemented
22	#90273	C₂	1	1	yes	maximal, characteristic, complemented
23	#90271	C₂	1	1	yes	maximal, characteristic, complemented
24	#90259	C₂	1	1	yes	maximal, characteristic, complemented
25	#90259	C₂	1	1	yes	maximal, characteristic, complemented
26	#90251	C₂	1	1	yes	maximal, characteristic, complemented
27	#90247	C₂	1	1	yes	maximal, characteristic, complemented
28	#90225	C₂	1	1	yes	maximal, characteristic, complemented
29	#90219	C₂	1	1	yes	maximal, characteristic, complemented
30	#90218	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, complemented
34	C₇×#126	C₂²	1	1	yes	characteristic, complemented
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, complemented
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, complemented
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	#6510	C₂²	1	1	yes	characteristic, complemented
52	#6509	C₂²	1	1	yes	characteristic, complemented
53	#6509	C₂²	1	1	yes	characteristic, complemented
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	#6507	C₂²	1	1	yes	characteristic, complemented
58	#6507	C₂²	1	1	yes	characteristic, complemented
59	#6502	C₂²	1	1	yes	characteristic
60	#6500	C₂²	1	1	yes	characteristic
61	#6500	C₂²	1	1	yes	characteristic
62	#6498	C₂²	1	1	yes	characteristic
63	#6493	C₂²	1	1	yes	characteristic
64	#6492	C₂²	1	1	yes	characteristic
65	#6492	C₂²	1	1	yes	characteristic
66	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
67	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
68	C₂×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
69	C₂×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
70	#6487	C₂²	1	1	yes	characteristic, complemented
71	#6461	C₂²	1	1	yes	characteristic, complemented
72	#6461	C₂²	1	1	yes	characteristic, complemented
73	#6461	C₂²	1	1	yes	characteristic, complemented
74	#6461	C₂²	1	1	yes	characteristic, complemented
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	#6461	C₂²	1	1	yes	characteristic, complemented
79	#6461	C₂²	1	1	yes	characteristic, complemented
80	#6461	C₂²	1	1	yes	characteristic, complemented
81	#6461	C₂²	1	1	yes	characteristic, complemented
82	#6461	C₂²	1	1	yes	characteristic, complemented
83	#6460	C₂²	1	1	yes	characteristic, complemented
84	#6459	C₂²	1	1	yes	characteristic, complemented
85	#6459	C₂²	1	1	yes	characteristic, complemented
86	#6459	C₂²	1	1	yes	characteristic, complemented
87	#6459	C₂²	1	1	yes	characteristic, complemented
88	#6459	C₂²	1	1	yes	characteristic, complemented
89	#6459	C₂²	1	1	yes	characteristic, complemented
90	#6459	C₂²	1	1	yes	characteristic, complemented
91	#6459	C₂²	1	1	yes	characteristic, complemented
92	#6459	C₂²	1	1	yes	characteristic, complemented
93	#6458	C₂²	1	1	yes	characteristic
94	#6458	C₂²	1	1	yes	characteristic
95	#6458	C₂²	1	1	yes	characteristic
96	#6458	C₂²	1	1	yes	characteristic
97	#6457	C₂²	1	1	yes	characteristic
98	#6457	C₂²	1	1	yes	characteristic
99	#6457	C₂²	1	1	yes	characteristic
100	#6457	C₂²	1	1	yes	characteristic
101	#6457	C₂²	1	1	yes	characteristic
102	#6457	C₂²	1	1	yes	characteristic, complemented
103	#6457	C₂²	1	1	yes	characteristic, complemented
104	#6457	C₂²	1	1	yes	characteristic, complemented
105	#6457	C₂²	1	1	yes	characteristic, complemented
106	#6456	C₂²	1	1	yes	characteristic
107	#6456	C₂²	1	1	yes	characteristic
108	#6456	C₂²	1	1	yes	characteristic, complemented
109	#6455	C₂²	1	1	yes	characteristic, complemented
110	#6455	C₂²	1	1	yes	characteristic, complemented
111	#6453	C₂²	1	1	yes	characteristic, complemented
112	#6452	C₂²	1	1	yes	characteristic, complemented
113	#6452	C₂²	1	1	yes	characteristic, complemented
114	#6451	C₂²	1	1	yes	characteristic, complemented
115	#6451	C₂²	1	1	yes	characteristic, complemented
116	#6450	C₂²	1	1	yes	characteristic, complemented
117	#6450	C₂²	1	1	yes	characteristic, complemented
118	#6450	C₂²	1	1	yes	characteristic, complemented
119	#6449	C₂²	1	1	yes	characteristic
120	#6448	C₂²	1	1	yes	characteristic
121	#6448	C₂²	1	1	yes	characteristic
122	#6448	C₂²	1	1	yes	characteristic
123	#6448	C₂²	1	1	yes	characteristic
124	#6448	C₂²	1	1	yes	characteristic
125	#6448	C₂²	1	1	yes	characteristic
126	#6448	C₂²	1	1	yes	characteristic, complemented
127	#6448	C₂²	1	1	yes	characteristic, complemented
128	#6447	C₂²	1	1	yes	characteristic
129	#6447	C₂²	1	1	yes	characteristic
130	#6447	C₂²	1	1	yes	characteristic
131	#6446	C₂²	1	1	yes	characteristic
132	#6446	C₂²	1	1	yes	characteristic
133	#6446	C₂²	1	1	yes	characteristic
134	#6446	C₂²	1	1	yes	characteristic, complemented
135	#6446	C₂²	1	1	yes	characteristic, complemented
136	#6445	C₂²	1	1	yes	characteristic
137	#6445	C₂²	1	1	yes	characteristic
138	#6445	C₂²	1	1	yes	characteristic
139	#6445	C₂²	1	1	yes	characteristic
140	#6445	C₂²	1	1	yes	characteristic, complemented
141	#6445	C₂²	1	1	yes	characteristic, complemented
142	(C₂²⋊D₇)⋊C₄	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, complemented
146	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
147	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
148	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
149	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
150	#6442	C₂²	1	1	yes	characteristic, complemented
151	#6442	C₂²	1	1	yes	characteristic, complemented
152	#6442	C₂²	1	1	yes	characteristic, complemented
153	#6442	C₂²	1	1	yes	characteristic, complemented
154	#6441	C₂²	1	1	yes	characteristic, complemented
155	#6441	C₂²	1	1	yes	characteristic, complemented
156	#6441	C₂²	1	1	yes	characteristic, complemented
157	#6440	C₂²	1	1	yes	characteristic, complemented
158	#6440	C₂²	1	1	yes	characteristic, complemented
159	#6439	C₂²	1	1	yes	characteristic, complemented
160	#6439	C₂²	1	1	yes	characteristic, complemented
161	#6439	C₂²	1	1	yes	characteristic, complemented
162	#6439	C₂²	1	1	yes	characteristic, complemented
163	#6439	C₂²	1	1	yes	characteristic, complemented
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
168	#6438	C₂²	1	1	yes	characteristic
169	#6438	C₂²	1	1	yes	characteristic, complemented
170	#6438	C₂²	1	1	yes	characteristic, complemented
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	C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
176	#6435	C₂²	1	1	yes	characteristic, complemented
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	#6435	C₂²	1	1	yes	characteristic, complemented
182	C₄²×D₇	C₂²	1	1	yes	characteristic, complemented
183	#6432	C₂²	1	1	yes	characteristic, complemented
184	C₄×Dic₁₄	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	#3568	—	7	1	no	maximal, Sylow
188	C₂³×D₇	C₂³	1	1	yes	characteristic
189	C₂³×D₇	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×Q₈	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	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	C₂²×Dic₇	C₂³	1	1	yes	characteristic
203	C₂²×Dic₇	C₂³	1	1	yes	characteristic
204	C₂×D₂₈	C₂³	1	1	yes	characteristic
205	C₂×D₂₈	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×C₄×D₇	C₂³	1	1	yes	characteristic
213	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
214	C₂×C₄×D₇	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×Dic₁₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
229	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₇×C₄⋊C₄	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
242	C₇×C₂²⋊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	C₄²×C₇	C₂³	1	1	yes	characteristic
252	C₄²×C₇	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	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
259	C₂²⋊Dic₇	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	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×D₇)⋊C₄	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	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
309	C₄⋊Dic₇	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	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	#563	—	7	1	no	—
344	#563	—	7	1	no	—
345	#563	—	7	1	no	—
346	H(3,𝔽₄)	—	7	1	no	—
347	#556	—	7	1	no	—
348	#556	—	7	1	no	—
349	#556	—	7	1	no	—
350	#556	—	7	1	no	—
351	#556	—	7	1	no	—
352	#556	D₇	1	1	yes	characteristic, complemented
353	#551	—	7	1	no	—
354	#551	—	7	1	no	—
355	#551	—	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	#542	—	7	1	no	—
363	#542	—	7	1	no	—
364	#542	—	7	1	no	—
365	#538	—	7	1	no	—
366	#538	—	7	1	no	—
367	#538	—	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	—	4	1	no	—
380	C₂²×D₇	—	4	1	no	—
381	C₂²×D₇	—	4	1	no	—
382	C₂²×D₇	C₂⁴	1	1	yes	characteristic
383	C₂²×D₇	C₂⁴	1	1	yes	characteristic
384	C₂²×D₇	C₂⁴	1	1	yes	characteristic
385	C₂²×D₇	C₂⁴	1	1	yes	characteristic
386	C₂²×D₇	C₂⁴	1	1	yes	characteristic
387	C₇×Q₈	—	4	1	no	—
388	C₇×Q₈	—	4	1	no	—
389	C₇×Q₈	—	4	1	no	—
390	C₇×D₄	—	4	1	no	—
391	C₂×C₄×C₇	—	4	1	no	—
392	C₂×C₄×C₇	—	4	1	no	—
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	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	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	C₂²⋊D₇	—	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	C₄×D₇	—	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	Dic₁₄	—	4	1	no	—
445	Dic₁₄	—	4	1	no	—
446	Dic₁₄	—	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	—	7	1	no	—
453	C₄⋊Q₈	—	7	1	no	—
454	C₄⋊Q₈	—	7	1	no	—
455	C₄⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
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	—	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	—	7	1	no	—
477	#126	—	7	1	no	—
478	#126	C₂×D₇	1	1	yes	characteristic, complemented
479	#126	C₂×D₇	1	1	yes	characteristic, complemented
480	#126	C₂×D₇	1	1	yes	characteristic, complemented
481	#126	C₂×D₇	1	1	yes	characteristic, complemented
482	#125	—	7	1	no	—
483	#125	—	7	1	no	—
484	#125	—	7	1	no	—
485	#124	—	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	—	7	1	no	—
497	#124	—	7	1	no	—
498	#124	—	7	1	no	—
499	#124	—	7	1	no	—
500	#124	—	7	1	no	—
501	#124	—	7	1	no	—
502	#124	—	7	1	no	—
503	#124	—	7	1	no	—
504	#124	C₂×D₇	1	1	yes	characteristic
505	#124	C₂×D₇	1	1	yes	characteristic
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	#123	—	7	1	no	—
523	#123	—	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	—	7	1	no	—
539	C₂²⋊Q₈	—	7	1	no	—
540	C₂²⋊Q₈	—	7	1	no	—
541	C₂²⋊Q₈	—	7	1	no	—
542	C₂²⋊Q₈	—	7	1	no	—
543	C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
544	C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
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	#120	—	7	1	no	—
555	#120	—	7	1	no	—
556	#120	—	7	1	no	—
557	#120	—	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	—	7	1	no	—
566	C₄×Q₈	—	7	1	no	—
567	C₄×Q₈	—	7	1	no	—
568	C₄×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
569	C₄×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
570	C₄×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
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, complemented
597	#117	C₂×D₇	1	1	yes	characteristic, complemented
598	C₂×C₂²⋊C₄	—	7	1	no	—
599	C₂×C₂²⋊C₄	—	7	1	no	—
600	C₂×C₂²⋊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	C₂×D₇	—	8	2	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	C₄×C₇	—	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	Dic₇	—	2	1	no	—
653	C₂⁴	—	7	1	no	—
654	C₂⁴	—	7	1	no	—
655	C₂×Q₈	—	7	1	no	—
656	C₂×Q₈	—	7	1	no	—
657	C₂×Q₈	—	7	1	no	—
658	C₂×Q₈	—	7	1	no	—
659	C₂×Q₈	—	7	1	no	—
660	C₂×Q₈	—	7	1	no	—
661	C₂×Q₈	C₂²×D₇	1	1	yes	characteristic
662	C₂×Q₈	C₂²×D₇	1	1	yes	characteristic
663	C₂×Q₈	C₂²×D₇	1	1	yes	characteristic
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	C₂²×D₇	1	1	yes	characteristic
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	C₂²×D₇	1	1	yes	characteristic
693	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
694	C₄⋊C₄	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
725	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
726	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
727	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
728	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
729	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
730	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
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	C₂²⋊C₄	—	7	1	no	—
737	C₂²⋊C₄	—	7	1	no	—
738	C₂²⋊C₄	—	7	1	no	—
739	C₂²⋊C₄	—	7	1	no	—
740	C₂²⋊C₄	—	7	1	no	—
741	C₂²⋊C₄	—	7	1	no	—
742	C₂²⋊C₄	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
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	C₄²	—	7	1	no	—
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	—	7	1	no	—
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	C₄²	C₂²×D₇	1	1	yes	characteristic
808	C₂×C₇	—	4	1	no	—
809	C₂×C₇	—	4	1	no	—
810	C₂×C₇	#585	1	1	yes	characteristic
811	C₂×C₇	#585	1	1	yes	characteristic
812	C₂×C₇	#585	1	1	yes	characteristic
813	D₇	—	4	1	no	—
814	D₇	—	4	1	no	—
815	D₇	—	4	1	no	—
816	D₇	—	4	1	no	—
817	D₇	—	4	1	no	—
818	C₂³	—	7	1	no	—
819	C₂³	—	7	1	no	—
820	C₂³	—	7	1	no	—
821	C₂³	—	7	1	no	—
822	C₂³	—	7	1	no	—
823	C₂³	—	28	1	no	—
824	C₂³	—	28	1	no	—
825	C₂³	—	28	1	no	—
826	C₂³	—	28	1	no	—
827	C₂³	—	28	1	no	—
828	C₂³	—	28	1	no	—
829	C₂³	C₂³×D₇	1	1	yes	characteristic
830	C₂³	C₂³×D₇	1	1	yes	characteristic
831	Q₈	—	4	1	no	—
832	Q₈	—	4	1	no	—
833	Q₈	—	4	1	no	—
834	Q₈	—	28	1	no	—
835	Q₈	—	28	1	no	—
836	Q₈	—	28	1	no	—
837	Q₈	—	28	1	no	—
838	Q₈	—	28	1	no	—
839	Q₈	—	28	1	no	—
840	D₄	—	4	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	D₄	—	28	1	no	—
852	D₄	—	28	1	no	—
853	D₄	—	28	1	no	—
854	D₄	—	28	1	no	—
855	C₂×C₄	—	4	1	no	—
856	C₂×C₄	—	4	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	—	7	1	no	—
865	C₂×C₄	—	7	1	no	—
866	C₂×C₄	—	7	1	no	—
867	C₂×C₄	—	7	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	—	28	1	no	—
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	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
894	C₇	#3568	1	1	yes	characteristic, complemented, Sylow
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	—	2	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	—	14	1	no	—
916	C₂²	—	56	2	no	—
917	C₂²	—	56	2	no	—
918	C₂²	C₂⁴×D₇	1	1	yes	characteristic
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	—	2	1	no	—
931	C₄	—	2	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	C₄	—	14	1	no	—
942	C₄	—	14	1	no	—
943	C₂	—	4	1	no	—
944	C₂	—	4	1	no	—
945	C₂	—	28	1	no	—
946	C₂	—	28	1	no	—
947	C₂	—	28	1	no	—
948	C₂	—	28	1	no	—
949	C₂	—	28	1	no	—
950	C₂	#90616	1	1	yes	characteristic
951	C₂	#90616	1	1	yes	characteristic
952	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	#3568
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. #90403	C₂	semidirect
5. #90397	C₂	semidirect
6. #90396	C₂	semidirect
7. #90395	C₂	semidirect
8. #90395	C₂	semidirect
9. #90395	C₂	semidirect
10. #90393	C₂	semidirect
11. #90393	C₂	semidirect
12. #90374	C₂	semidirect
13. #90370	C₂	semidirect
14. #90369	C₂	semidirect
15. #90360	C₂	semidirect
16. #90337	C₂	semidirect
17. #90335	C₂	semidirect
18. #90331	C₂	semidirect
19. #90328	C₂	semidirect
20. #90275	C₂	semidirect
21. #90273	C₂	semidirect
22. #90273	C₂	semidirect
23. #90271	C₂	semidirect
24. #90259	C₂	semidirect
25. #90259	C₂	semidirect
26. #90251	C₂	semidirect
27. #90247	C₂	semidirect
28. #90225	C₂	semidirect
29. #90219	C₂	semidirect
30. #90218	C₂	semidirect
31. #90218	C₂	semidirect
32. C₇×C₄⋊Q₈	C₂²	semidirect
33. C₇×#126	C₂²	semidirect
34. C₇×#126	C₂²	semidirect
35. C₇×#126	C₂²	semidirect
36. C₇×#126	C₂²	semidirect
39. C₇×C₂²⋊Q₈	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
45. C₇×#117	C₂²	semidirect
46. C₇×#117	C₂²	semidirect
50. #6510	C₂²	semidirect
51. #6510	C₂²	semidirect
52. #6509	C₂²	semidirect
53. #6509	C₂²	semidirect
54. #6509	C₂²	semidirect
55. #6509	C₂²	semidirect
56. #6509	C₂²	semidirect
57. #6507	C₂²	semidirect
58. #6507	C₂²	semidirect
67. C₄×C₂²⋊D₇	C₂²	semidirect
68. C₂×(C₂×D₇)⋊C₄	C₂²	semidirect
69. C₂×(C₂×D₇)⋊C₄	C₂²	semidirect
70. #6487	C₂²	semidirect
71. #6461	C₂²	semidirect
72. #6461	C₂²	semidirect
73. #6461	C₂²	semidirect
74. #6461	C₂²	semidirect
75. #6461	C₂²	semidirect
76. #6461	C₂²	semidirect
77. #6461	C₂²	semidirect
78. #6461	C₂²	semidirect
79. #6461	C₂²	semidirect
80. #6461	C₂²	semidirect
81. #6461	C₂²	semidirect
82. #6461	C₂²	semidirect
83. #6460	C₂²	semidirect
84. #6459	C₂²	semidirect
85. #6459	C₂²	semidirect
86. #6459	C₂²	semidirect
87. #6459	C₂²	semidirect
88. #6459	C₂²	semidirect
89. #6459	C₂²	semidirect
90. #6459	C₂²	semidirect
91. #6459	C₂²	semidirect
92. #6459	C₂²	semidirect
102. #6457	C₂²	semidirect
103. #6457	C₂²	semidirect
104. #6457	C₂²	semidirect
105. #6457	C₂²	semidirect
108. #6456	C₂²	semidirect
109. #6455	C₂²	semidirect
110. #6455	C₂²	semidirect
111. #6453	C₂²	semidirect
112. #6452	C₂²	semidirect
113. #6452	C₂²	semidirect
114. #6451	C₂²	semidirect
115. #6451	C₂²	semidirect
116. #6450	C₂²	semidirect
117. #6450	C₂²	semidirect
118. #6450	C₂²	semidirect
126. #6448	C₂²	semidirect
127. #6448	C₂²	semidirect
134. #6446	C₂²	semidirect
135. #6446	C₂²	semidirect
140. #6445	C₂²	semidirect
141. #6445	C₂²	semidirect
145. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
146. D₇×C₂²⋊C₄	C₂²	semidirect
147. D₇×C₂²⋊C₄	C₂²	semidirect
148. D₇×C₂²⋊C₄	C₂²	semidirect
149. D₇×C₂²⋊C₄	C₂²	semidirect
150. #6442	C₂²	semidirect
151. #6442	C₂²	semidirect
152. #6442	C₂²	semidirect
153. #6442	C₂²	semidirect
154. #6441	C₂²	semidirect
155. #6441	C₂²	semidirect
156. #6441	C₂²	semidirect
157. #6440	C₂²	semidirect
158. #6440	C₂²	semidirect
159. #6439	C₂²	semidirect
160. #6439	C₂²	semidirect
161. #6439	C₂²	semidirect
162. #6439	C₂²	semidirect
163. #6439	C₂²	semidirect
164. #6439	C₂²	semidirect
169. #6438	C₂²	semidirect
170. #6438	C₂²	semidirect
173. C₄×D₂₈	C₂²	semidirect
174. C₄×D₂₈	C₂²	semidirect
175. C₄×D₂₈	C₂²	semidirect
176. #6435	C₂²	semidirect
177. #6435	C₂²	semidirect
178. #6435	C₂²	semidirect
179. #6435	C₂²	semidirect
180. #6435	C₂²	semidirect
181. #6435	C₂²	semidirect
182. C₄²×D₇	C₂²	semidirect
183. #6432	C₂²	semidirect
184. C₄×Dic₁₄	C₂²	semidirect
185. C₄×Dic₁₄	C₂²	semidirect
186. C₄×Dic₁₄	C₂²	semidirect
352. #556	D₇	semidirect
455. C₄⋊Q₈	C₂×D₇	semidirect
478. #126	C₂×D₇	semidirect
479. #126	C₂×D₇	semidirect
480. #126	C₂×D₇	semidirect
481. #126	C₂×D₇	semidirect
543. C₂²⋊Q₈	C₂×D₇	semidirect
544. C₂²⋊Q₈	C₂×D₇	semidirect
568. C₄×Q₈	C₂×D₇	semidirect
569. C₄×Q₈	C₂×D₇	semidirect
570. C₄×Q₈	C₂×D₇	semidirect
596. #117	C₂×D₇	semidirect
597. #117	C₂×D₇	semidirect
894. C₇	#3568	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
#90403	2
#90397	2
#90396	2
#90395	2
#90393	2
#90374	2
#90370	2
#90369	2
#90360	2
#90337	2
#90335	2
#90331	2
#90328	2
#90275	2
#90273	2
#90271	2
#90259	2
#90251	2
#90247	2
#90225	2
#90219	2
#90218	2
#3568	7