Subgroups — #11743903

Order 896.

1014 conjugacy classes of subgroups.

The subgroup lattice has 932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#552	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	#90384	C₂	1	1	yes	maximal, characteristic, complemented
9	#90383	C₂	1	1	yes	maximal, characteristic, complemented
10	D₇×#125	C₂	1	1	yes	maximal, characteristic, complemented
11	#90376	C₂	1	1	yes	maximal, characteristic, complemented
12	#90356	C₂	1	1	yes	maximal, characteristic, complemented
13	#90346	C₂	1	1	yes	maximal, characteristic, complemented
14	#90346	C₂	1	1	yes	maximal, characteristic, complemented
15	#90340	C₂	1	1	yes	maximal, characteristic, complemented
16	#90336	C₂	1	1	yes	maximal, characteristic, complemented
17	#90329	C₂	1	1	yes	maximal, characteristic, complemented
18	#90327	C₂	1	1	yes	maximal, characteristic, complemented
19	#90327	C₂	1	1	yes	maximal, characteristic, complemented
20	#90272	C₂	1	1	yes	maximal, characteristic, complemented
21	#90269	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	#90222	C₂	1	1	yes	maximal, characteristic, complemented
25	#90222	C₂	1	1	yes	maximal, characteristic, complemented
26	#90222	C₂	1	1	yes	maximal, characteristic, complemented
27	#90219	C₂	1	1	yes	maximal, characteristic, complemented
28	#90214	C₂	1	1	yes	maximal, characteristic, complemented
29	#90213	C₂	1	1	yes	maximal, characteristic, complemented
30	#90198	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×#1157	C₂²	1	1	yes	characteristic
34	C₂×#1157	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×#125	C₂²	1	1	yes	characteristic
39	C₇×#125	C₂²	1	1	yes	characteristic
40	C₇×#123	C₂²	1	1	yes	characteristic
41	C₇×#123	C₂²	1	1	yes	characteristic
42	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
45	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
46	C₇×#117	C₂²	1	1	yes	characteristic
47	C₇×#117	C₂²	1	1	yes	characteristic
48	C₇×#117	C₂²	1	1	yes	characteristic
49	C₂×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
50	#6509	C₂²	1	1	yes	characteristic
51	#6509	C₂²	1	1	yes	characteristic
52	#6509	C₂²	1	1	yes	characteristic
53	#6507	C₂²	1	1	yes	characteristic
54	#6502	C₂²	1	1	yes	characteristic
55	#6502	C₂²	1	1	yes	characteristic
56	D₄×Dic₇	C₂²	1	1	yes	characteristic
57	#6493	C₂²	1	1	yes	characteristic
58	#6492	C₂²	1	1	yes	characteristic
59	#6492	C₂²	1	1	yes	characteristic
60	#6492	C₂²	1	1	yes	characteristic
61	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
62	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
63	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
64	C₂×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
65	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
66	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
67	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
68	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
69	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
70	C₂×C₄×Dic₇	C₂²	1	1	yes	characteristic
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
76	#6461	C₂²	1	1	yes	characteristic
77	#6460	C₂²	1	1	yes	characteristic
78	#6459	C₂²	1	1	yes	characteristic
79	#6459	C₂²	1	1	yes	characteristic
80	#6459	C₂²	1	1	yes	characteristic
81	#6459	C₂²	1	1	yes	characteristic
82	#6459	C₂²	1	1	yes	characteristic
83	#6459	C₂²	1	1	yes	characteristic
84	#6459	C₂²	1	1	yes	characteristic
85	#6459	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	#6456	C₂²	1	1	yes	characteristic
95	#6456	C₂²	1	1	yes	characteristic
96	#6456	C₂²	1	1	yes	characteristic
97	#6455	C₂²	1	1	yes	characteristic
98	#6455	C₂²	1	1	yes	characteristic
99	#6455	C₂²	1	1	yes	characteristic
100	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
101	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
102	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
103	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
104	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
105	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
106	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
107	#6453	C₂²	1	1	yes	characteristic
108	#6453	C₂²	1	1	yes	characteristic
109	#6453	C₂²	1	1	yes	characteristic
110	#6452	C₂²	1	1	yes	characteristic
111	#6452	C₂²	1	1	yes	characteristic
112	#6452	C₂²	1	1	yes	characteristic
113	#6452	C₂²	1	1	yes	characteristic
114	#6452	C₂²	1	1	yes	characteristic
115	#6452	C₂²	1	1	yes	characteristic
116	#6452	C₂²	1	1	yes	characteristic
117	#6452	C₂²	1	1	yes	characteristic
118	#6452	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	#6451	C₂²	1	1	yes	characteristic
128	#6451	C₂²	1	1	yes	characteristic
129	#6451	C₂²	1	1	yes	characteristic
130	#6450	C₂²	1	1	yes	characteristic
131	#6450	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	#6449	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	#6446	C₂²	1	1	yes	characteristic
143	#6446	C₂²	1	1	yes	characteristic
144	#6446	C₂²	1	1	yes	characteristic
145	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
146	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
147	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
148	(C₂²⋊D₇)⋊C₄	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	#6442	C₂²	1	1	yes	characteristic
157	#6442	C₂²	1	1	yes	characteristic
158	#6442	C₂²	1	1	yes	characteristic
159	#6441	C₂²	1	1	yes	characteristic
160	#6441	C₂²	1	1	yes	characteristic
161	#6441	C₂²	1	1	yes	characteristic
162	#6441	C₂²	1	1	yes	characteristic
163	#6441	C₂²	1	1	yes	characteristic
164	#6440	C₂²	1	1	yes	characteristic
165	#6440	C₂²	1	1	yes	characteristic
166	#6440	C₂²	1	1	yes	characteristic
167	#6439	C₂²	1	1	yes	characteristic
168	#6439	C₂²	1	1	yes	characteristic
169	#6439	C₂²	1	1	yes	characteristic
170	C₄×D₂₈	C₂²	1	1	yes	characteristic
171	C₄×D₂₈	C₂²	1	1	yes	characteristic
172	#6435	C₂²	1	1	yes	characteristic
173	#6435	C₂²	1	1	yes	characteristic
174	#6435	C₂²	1	1	yes	characteristic
175	#6435	C₂²	1	1	yes	characteristic
176	#6435	C₂²	1	1	yes	characteristic
177	#6435	C₂²	1	1	yes	characteristic
178	C₄²×D₇	C₂²	1	1	yes	characteristic
179	C₄²×D₇	C₂²	1	1	yes	characteristic
180	#6433	C₂²	1	1	yes	characteristic
181	#6433	C₂²	1	1	yes	characteristic
182	C₄×Dic₁₄	C₂²	1	1	yes	characteristic
183	C₄×Dic₁₄	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	#3515	—	7	1	no	maximal, Sylow
188	C₂×C₇×Q₈	C₂³	1	1	yes	characteristic
189	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
190	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
191	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
192	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
193	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
194	C₂×C₂²⋊D₇	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	C₂²×Dic₇	C₂³	1	1	yes	characteristic
201	C₂²×Dic₇	C₂³	1	1	yes	characteristic
202	C₂²×Dic₇	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	#1159	—	2	4	no	—
207	#1157	—	2	4	no	—
208	#1157	—	2	4	no	—
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×C₄×D₇	C₂³	1	1	yes	characteristic
224	C₂×C₄×D₇	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	C₂×Dic₁₄	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×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×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	C₇×C₂²⋊C₄	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	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	(C₂×D₇)⋊C₄	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	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
284	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
285	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
286	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
287	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
288	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
289	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
290	C₄⋊Dic₇	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	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
296	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
297	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
298	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
299	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
300	Dic₇⋊C₄	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	#557	—	7	1	no	—
347	#554	—	7	1	no	—
348	#554	—	7	1	no	—
349	#553	—	7	1	no	—
350	#553	—	7	1	no	—
351	#552	—	7	1	no	—
352	#552	—	7	1	no	—
353	#552	—	7	1	no	—
354	#552	—	7	1	no	—
355	#552	—	7	1	no	—
356	#552	—	7	1	no	—
357	#552	—	7	1	no	—
358	#552	D₇	1	1	yes	characteristic, complemented
359	#547	—	7	1	no	—
360	#547	—	7	1	no	—
361	#547	—	7	1	no	—
362	#541	—	7	1	no	—
363	#541	—	7	1	no	—
364	#539	—	7	1	no	—
365	#539	—	7	1	no	—
366	#539	—	7	1	no	—
367	#539	—	7	1	no	—
368	#533	—	7	1	no	—
369	#529	—	7	1	no	—
370	#529	—	7	1	no	—
371	#529	—	7	1	no	—
372	C₂×#125	—	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	C₂²×D₇	C₂⁴	1	1	yes	characteristic
380	C₂²×D₇	C₂⁴	1	1	yes	characteristic
381	C₂²×D₇	C₂⁴	1	1	yes	characteristic
382	C₇×Q₈	—	4	1	no	—
383	C₇×D₄	—	2	2	no	—
384	C₂×C₄×C₇	—	2	2	no	—
385	C₂×C₄×C₇	—	2	2	no	—
386	C₂×C₄×C₇	—	4	1	no	—
387	C₂×C₄×C₇	—	4	1	no	—
388	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
389	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
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	C₂²⋊D₇	—	2	2	no	—
402	C₂²⋊D₇	—	2	2	no	—
403	C₂²⋊D₇	—	2	2	no	—
404	C₂²⋊D₇	—	2	2	no	—
405	C₂²⋊D₇	—	4	1	no	—
406	C₂²⋊D₇	#41	1	4	yes	—
407	C₂×Dic₇	—	2	2	no	—
408	C₂×Dic₇	—	2	2	no	—
409	C₂×Dic₇	—	2	2	no	—
410	C₂×Dic₇	—	4	1	no	—
411	C₂×Dic₇	—	4	1	no	—
412	C₂×Dic₇	—	4	1	no	—
413	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
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	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
426	D₂₈	—	2	2	no	—
427	D₂₈	—	2	2	no	—
428	D₂₈	—	4	1	no	—
429	C₄×D₇	—	2	2	no	—
430	C₄×D₇	—	2	2	no	—
431	C₄×D₇	—	2	2	no	—
432	C₄×D₇	—	2	2	no	—
433	C₄×D₇	—	2	2	no	—
434	C₄×D₇	—	2	2	no	—
435	C₄×D₇	—	2	2	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	Dic₁₄	—	2	2	no	—
443	Dic₁₄	—	2	2	no	—
444	Dic₁₄	—	2	2	no	—
445	Dic₁₄	—	2	2	no	—
446	Dic₁₄	—	4	1	no	—
447	C₂×#41	—	7	1	no	—
448	C₂×#41	—	7	1	no	—
449	C₂×#41	—	7	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	#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	C₂×D₇	1	1	yes	characteristic
467	#126	C₂×D₇	1	1	yes	characteristic
468	#125	—	7	1	no	—
469	#125	—	7	1	no	—
470	#125	—	7	1	no	—
471	#125	—	7	1	no	—
472	#125	—	7	1	no	—
473	#125	—	7	1	no	—
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	#125	—	7	1	no	—
487	#125	—	7	1	no	—
488	#125	—	7	1	no	—
489	#125	—	7	1	no	—
490	#125	C₂×D₇	1	1	yes	characteristic
491	#125	C₂×D₇	1	1	yes	characteristic
492	#125	C₂×D₇	1	1	yes	characteristic
493	#124	—	7	1	no	—
494	#123	—	7	1	no	—
495	#123	—	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	C₂²⋊Q₈	—	7	1	no	—
521	C₂²⋊Q₈	—	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	C₂×D₇	1	1	yes	characteristic
530	C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic
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	C₄×Q₈	—	7	1	no	—
539	C₄×Q₈	—	7	1	no	—
540	C₄×Q₈	—	7	1	no	—
541	C₄×Q₈	—	7	1	no	—
542	C₄×Q₈	—	7	1	no	—
543	C₄×Q₈	—	7	1	no	—
544	C₄×Q₈	—	7	1	no	—
545	C₄×Q₈	—	7	1	no	—
546	C₄×Q₈	—	7	1	no	—
547	C₄×Q₈	—	7	1	no	—
548	C₄×Q₈	C₂×D₇	1	1	yes	characteristic
549	C₄×D₄	—	7	1	no	—
550	C₄×D₄	—	7	1	no	—
551	C₄×D₄	—	7	1	no	—
552	C₄×D₄	—	7	1	no	—
553	C₄×D₄	—	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	C₂×D₇	1	1	yes	characteristic
570	#117	—	7	1	no	—
571	#117	—	7	1	no	—
572	#117	—	7	1	no	—
573	#117	—	7	1	no	—
574	#117	—	7	1	no	—
575	#117	—	7	1	no	—
576	#117	—	7	1	no	—
577	#117	—	7	1	no	—
578	#117	—	7	1	no	—
579	#117	—	7	1	no	—
580	#117	—	7	1	no	—
581	#117	—	7	1	no	—
582	#117	C₂×D₇	1	1	yes	characteristic
583	#117	C₂×D₇	1	1	yes	characteristic
584	#117	C₂×D₇	1	1	yes	characteristic
585	C₂×C₄⋊C₄	—	7	1	no	—
586	C₂×C₄⋊C₄	—	7	1	no	—
587	C₂×C₄⋊C₄	—	7	1	no	—
588	C₂×C₄⋊C₄	—	7	1	no	—
589	C₂×C₄⋊C₄	—	7	1	no	—
590	C₂×C₄⋊C₄	—	7	1	no	—
591	C₂×C₄⋊C₄	—	7	1	no	—
592	C₂×C₄⋊C₄	—	7	1	no	—
593	C₂×C₄⋊C₄	—	7	1	no	—
594	C₂×C₄⋊C₄	—	7	1	no	—
595	C₂×C₄⋊C₄	—	7	1	no	—
596	C₂×C₄⋊C₄	—	7	1	no	—
597	C₂×C₄⋊C₄	—	7	1	no	—
598	C₂×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
599	C₂×C₄²	—	7	1	no	—
600	C₂×C₄²	—	7	1	no	—
601	C₂×C₄²	—	7	1	no	—
602	C₂²×C₇	—	2	1	no	—
603	C₂²×C₇	—	2	1	no	—
604	C₂²×C₇	—	2	1	no	—
605	C₂²×C₇	—	2	1	no	—
606	C₂²×C₇	—	2	1	no	—
607	C₂²×C₇	C₂×#41	1	2	yes	—
608	C₂²×C₇	C₂⁵	1	1	yes	characteristic
609	C₂×D₇	—	2	1	no	—
610	C₂×D₇	—	2	1	no	—
611	C₂×D₇	—	2	1	no	—
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	C₂×#41	1	2	yes	—
618	C₄×C₇	—	2	1	no	—
619	C₄×C₇	—	2	1	no	—
620	C₄×C₇	—	2	1	no	—
621	C₄×C₇	—	2	1	no	—
622	C₄×C₇	—	2	1	no	—
623	C₄×C₇	—	2	1	no	—
624	C₄×C₇	—	2	1	no	—
625	C₄×C₇	—	2	1	no	—
626	C₄×C₇	—	2	1	no	—
627	C₄×C₇	—	2	1	no	—
628	C₄×C₇	—	2	1	no	—
629	C₄×C₇	—	2	1	no	—
630	C₄×C₇	—	2	1	no	—
631	Dic₇	—	2	1	no	—
632	Dic₇	—	2	1	no	—
633	Dic₇	—	2	1	no	—
634	Dic₇	—	2	1	no	—
635	Dic₇	—	2	1	no	—
636	Dic₇	—	2	1	no	—
637	Dic₇	—	2	1	no	—
638	Dic₇	—	2	1	no	—
639	Dic₇	—	2	1	no	—
640	Dic₇	—	2	1	no	—
641	Dic₇	—	2	1	no	—
642	Dic₇	C₂×#41	1	2	yes	—
643	Dic₇	2₋¹⁺⁴	1	2	yes	—
644	#41	—	14	4	no	—
645	#41	—	14	4	no	—
646	#41	—	14	4	no	—
647	C₂×Q₈	—	7	1	no	—
648	C₂×Q₈	—	7	1	no	—
649	C₂×Q₈	—	7	1	no	—
650	C₂×Q₈	—	7	1	no	—
651	C₂×Q₈	—	7	1	no	—
652	C₂×Q₈	C₂²×D₇	1	1	yes	characteristic
653	C₂×D₄	—	7	1	no	—
654	C₂×D₄	—	7	1	no	—
655	C₂×D₄	—	7	1	no	—
656	C₂×D₄	—	7	1	no	—
657	C₂×D₄	—	7	1	no	—
658	C₂×D₄	—	7	1	no	—
659	C₂×D₄	—	7	1	no	—
660	C₂×D₄	—	7	1	no	—
661	C₂×D₄	—	7	1	no	—
662	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
663	C₂²×C₄	—	7	1	no	—
664	C₂²×C₄	—	7	1	no	—
665	C₂²×C₄	—	7	1	no	—
666	C₂²×C₄	—	7	1	no	—
667	C₂²×C₄	—	7	1	no	—
668	C₂²×C₄	—	7	1	no	—
669	C₂²×C₄	—	7	1	no	—
670	C₂²×C₄	—	7	1	no	—
671	C₂²×C₄	—	7	1	no	—
672	C₂²×C₄	—	7	1	no	—
673	C₂²×C₄	—	7	1	no	—
674	C₂²×C₄	—	7	1	no	—
675	C₂²×C₄	—	7	1	no	—
676	C₂²×C₄	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
683	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
684	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
685	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
686	C₄⋊C₄	—	7	1	no	—
687	C₄⋊C₄	—	7	1	no	—
688	C₄⋊C₄	—	7	1	no	—
689	C₄⋊C₄	—	7	1	no	—
690	C₄⋊C₄	—	7	1	no	—
691	C₄⋊C₄	—	7	1	no	—
692	C₄⋊C₄	—	7	1	no	—
693	C₄⋊C₄	—	7	1	no	—
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	—	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	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	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
744	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
745	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
746	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
747	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
748	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
749	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
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	C₂²×D₇	1	1	yes	characteristic
775	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
776	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
777	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
778	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
779	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
780	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
781	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
782	C₄²	—	7	1	no	—
783	C₄²	—	7	1	no	—
784	C₄²	—	7	1	no	—
785	C₄²	—	7	1	no	—
786	C₄²	—	7	1	no	—
787	C₄²	—	7	1	no	—
788	C₄²	—	7	1	no	—
789	C₄²	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
798	C₄²	C₂²×D₇	1	1	yes	characteristic
799	C₄²	C₂²×D₇	1	1	yes	characteristic
800	C₄²	C₂²×D₇	1	1	yes	characteristic
801	C₄²	C₂²×D₇	1	1	yes	characteristic
802	C₂×C₇	—	2	2	no	—
803	C₂×C₇	—	4	1	no	—
804	C₂×C₇	C₂²×#41	1	1	yes	characteristic
805	C₂×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
806	C₂×C₇	#585	1	1	yes	characteristic
807	D₇	—	2	2	no	—
808	D₇	—	4	1	no	—
809	D₇	—	4	1	no	—
810	C₂³	—	7	1	no	—
811	C₂³	—	7	1	no	—
812	C₂³	—	7	1	no	—
813	C₂³	C₂³×D₇	1	1	yes	characteristic
814	C₂³	C₂³×D₇	1	1	yes	characteristic
815	Q₈	—	4	1	no	—
816	Q₈	—	14	2	no	—
817	Q₈	—	14	2	no	—
818	Q₈	—	14	2	no	—
819	Q₈	—	14	2	no	—
820	Q₈	—	28	1	no	—
821	D₄	—	2	2	no	—
822	D₄	—	7	4	no	—
823	D₄	—	14	2	no	—
824	D₄	—	14	2	no	—
825	D₄	—	14	2	no	—
826	D₄	—	14	2	no	—
827	D₄	—	14	2	no	—
828	D₄	—	14	2	no	—
829	D₄	—	28	1	no	—
830	D₄	—	28	1	no	—
831	C₂×C₄	—	2	2	no	—
832	C₂×C₄	—	2	2	no	—
833	C₂×C₄	—	4	1	no	—
834	C₂×C₄	—	4	1	no	—
835	C₂×C₄	—	7	1	no	—
836	C₂×C₄	—	7	1	no	—
837	C₂×C₄	—	7	1	no	—
838	C₂×C₄	—	7	1	no	—
839	C₂×C₄	—	7	1	no	—
840	C₂×C₄	—	7	1	no	—
841	C₂×C₄	—	7	1	no	—
842	C₂×C₄	—	7	1	no	—
843	C₂×C₄	—	7	1	no	—
844	C₂×C₄	—	7	1	no	—
845	C₂×C₄	—	7	1	no	—
846	C₂×C₄	—	7	1	no	—
847	C₂×C₄	—	7	1	no	—
848	C₂×C₄	—	14	2	no	—
849	C₂×C₄	—	14	2	no	—
850	C₂×C₄	—	14	2	no	—
851	C₂×C₄	—	14	2	no	—
852	C₂×C₄	—	14	2	no	—
853	C₂×C₄	—	14	2	no	—
854	C₂×C₄	—	14	2	no	—
855	C₂×C₄	—	14	2	no	—
856	C₂×C₄	—	14	2	no	—
857	C₂×C₄	—	14	2	no	—
858	C₂×C₄	—	28	1	no	—
859	C₂×C₄	—	28	1	no	—
860	C₂×C₄	—	28	1	no	—
861	C₂×C₄	—	28	1	no	—
862	C₂×C₄	—	28	1	no	—
863	C₂×C₄	—	28	1	no	—
864	C₂×C₄	—	28	1	no	—
865	C₂×C₄	—	28	1	no	—
866	C₂×C₄	—	28	1	no	—
867	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
868	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
869	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
870	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
871	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
872	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
873	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
874	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
875	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
876	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
877	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
878	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
879	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
880	C₇	#3515	1	1	yes	characteristic, complemented, Sylow
881	C₂²	—	2	1	no	—
882	C₂²	—	2	1	no	—
883	C₂²	—	2	1	no	—
884	C₂²	—	2	1	no	—
885	C₂²	—	2	1	no	—
886	C₂²	—	7	2	no	—
887	C₂²	—	14	1	no	—
888	C₂²	—	14	1	no	—
889	C₂²	—	14	1	no	—
890	C₂²	—	14	1	no	—
891	C₂²	—	14	1	no	—
892	C₂²	—	14	1	no	—
893	C₂²	—	14	1	no	—
894	C₂²	—	14	1	no	—
895	C₂²	D₇×#41	1	2	yes	—
896	C₂²	C₂⁴×D₇	1	1	yes	characteristic
897	C₄	—	2	1	no	—
898	C₄	—	2	1	no	—
899	C₄	—	2	1	no	—
900	C₄	—	2	1	no	—
901	C₄	—	2	1	no	—
902	C₄	—	2	1	no	—
903	C₄	—	2	1	no	—
904	C₄	—	2	1	no	—
905	C₄	—	2	1	no	—
906	C₄	—	2	1	no	—
907	C₄	—	2	1	no	—
908	C₄	—	2	1	no	—
909	C₄	—	2	1	no	—
910	C₄	—	7	2	no	—
911	C₄	—	7	2	no	—
912	C₄	—	14	1	no	—
913	C₄	—	14	1	no	—
914	C₄	—	14	1	no	—
915	C₄	—	14	1	no	—
916	C₄	—	14	1	no	—
917	C₄	—	14	1	no	—
918	C₄	—	14	1	no	—
919	C₄	—	14	1	no	—
920	C₄	—	14	1	no	—
921	C₄	—	14	1	no	—
922	C₄	—	14	1	no	—
923	C₂	—	2	2	no	—
924	C₂	—	4	1	no	—
925	C₂	—	14	2	no	—
926	C₂	—	28	1	no	—
927	C₂	—	28	1	no	—
928	C₂	C₂×D₇×#41	1	1	yes	characteristic
929	C₂	#90616	1	1	yes	characteristic
930	C₂	D₇×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₇
commutator, socle, cosocle	C₂²×C₇	C₂⁵
Fitting	C₇×#552	C₂
hypercenter	#552	D₇
hypocenter	C₇	#3515
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #552

Complements

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

N	H ≅ G/N	type
1. C₇×#552	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. #90384	C₂	semidirect
9. #90383	C₂	semidirect
10. D₇×#125	C₂	semidirect
11. #90376	C₂	semidirect
12. #90356	C₂	semidirect
13. #90346	C₂	semidirect
14. #90346	C₂	semidirect
15. #90340	C₂	semidirect
16. #90336	C₂	semidirect
17. #90329	C₂	semidirect
18. #90327	C₂	semidirect
19. #90327	C₂	semidirect
20. #90272	C₂	semidirect
21. #90269	C₂	semidirect
22. #90237	C₂	semidirect
23. #90231	C₂	semidirect
24. #90222	C₂	semidirect
25. #90222	C₂	semidirect
26. #90222	C₂	semidirect
27. #90219	C₂	semidirect
28. #90214	C₂	semidirect
29. #90213	C₂	semidirect
30. #90198	C₂	semidirect
31. C₂×#6452	C₂	semidirect
358. #552	D₇	semidirect
880. C₇	#3515	semidirect

Maximal subgroups

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

subgroup	index
C₇×#552	2
#90400	2
#90399	2
#90397	2
#90392	2
#90387	2
#90384	2
#90383	2
D₇×#125	2
#90376	2
#90356	2
#90346	2
#90340	2
#90336	2
#90329	2
#90327	2
#90272	2
#90269	2
#90237	2
#90231	2
#90222	2
#90219	2
#90214	2
#90213	2
#90198	2
C₂×#6452	2
#3515	7