Subgroups — #11743897

Order 896.

1022 conjugacy classes of subgroups.

The subgroup lattice has 934 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	#90401	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	#90393	C₂	1	1	yes	maximal, characteristic, complemented
6	#90387	C₂	1	1	yes	maximal, characteristic, complemented
7	#90387	C₂	1	1	yes	maximal, characteristic, complemented
8	#90384	C₂	1	1	yes	maximal, characteristic, complemented
9	#90384	C₂	1	1	yes	maximal, characteristic, complemented
10	#90381	C₂	1	1	yes	maximal, characteristic, complemented
11	#90379	C₂	1	1	yes	maximal, characteristic, complemented
12	#90349	C₂	1	1	yes	maximal, characteristic, complemented
13	#90347	C₂	1	1	yes	maximal, characteristic
14	#90341	C₂	1	1	yes	maximal, characteristic, complemented
15	#90339	C₂	1	1	yes	maximal, characteristic, complemented
16	#90331	C₂	1	1	yes	maximal, characteristic, complemented
17	#90328	C₂	1	1	yes	maximal, characteristic, complemented
18	#90327	C₂	1	1	yes	maximal, characteristic, complemented
19	#90314	C₂	1	1	yes	maximal, characteristic, complemented
20	#90269	C₂	1	1	yes	maximal, characteristic, complemented
21	#90259	C₂	1	1	yes	maximal, characteristic, complemented
22	#90247	C₂	1	1	yes	maximal, characteristic, complemented
23	#90237	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	#90219	C₂	1	1	yes	maximal, characteristic, complemented
27	#90218	C₂	1	1	yes	maximal, characteristic, complemented
28	D₇×#117	C₂	1	1	yes	maximal, characteristic, complemented
29	#90207	C₂	1	1	yes	maximal, characteristic, complemented
30	#90204	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#6459	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#1159	C₂²	1	1	yes	characteristic
33	C₂²×C₄×D₇	C₂²	1	1	yes	characteristic
34	C₂²×Dic₁₄	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×#125	C₂²	1	1	yes	characteristic, complemented
38	C₇×#125	C₂²	1	1	yes	characteristic, complemented
39	C₇×#125	C₂²	1	1	yes	characteristic, complemented
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, complemented
44	C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
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, complemented
49	C₂×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
50	#6510	C₂²	1	1	yes	characteristic
51	#6509	C₂²	1	1	yes	characteristic
52	#6507	C₂²	1	1	yes	characteristic, complemented
53	#6507	C₂²	1	1	yes	characteristic, complemented
54	#6500	C₂²	1	1	yes	characteristic
55	#6498	C₂²	1	1	yes	characteristic
56	D₄×Dic₇	C₂²	1	1	yes	characteristic
57	#6492	C₂²	1	1	yes	characteristic
58	#6492	C₂²	1	1	yes	characteristic
59	#6492	C₂²	1	1	yes	characteristic
60	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
61	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
62	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
63	C₂×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
64	C₂×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
65	#6489	C₂²	1	1	yes	characteristic
66	#6489	C₂²	1	1	yes	characteristic
67	#6487	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×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
76	#6461	C₂²	1	1	yes	characteristic
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	#6460	C₂²	1	1	yes	characteristic
81	#6460	C₂²	1	1	yes	characteristic, complemented
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	#6459	C₂²	1	1	yes	characteristic
87	#6459	C₂²	1	1	yes	characteristic
88	#6459	C₂²	1	1	yes	characteristic
89	#6459	C₂²	1	1	yes	characteristic
90	#6459	C₂²	1	1	yes	characteristic
91	#6459	C₂²	1	1	yes	characteristic
92	#6459	C₂²	1	1	yes	characteristic
93	#6459	C₂²	1	1	yes	characteristic
94	#6459	C₂²	1	1	yes	characteristic, complemented
95	#6459	C₂²	1	1	yes	characteristic, complemented
96	#6459	C₂²	1	1	yes	characteristic, complemented
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	#6456	C₂²	1	1	yes	characteristic
102	#6456	C₂²	1	1	yes	characteristic
103	#6456	C₂²	1	1	yes	characteristic
104	#6455	C₂²	1	1	yes	characteristic
105	#6455	C₂²	1	1	yes	characteristic
106	#6455	C₂²	1	1	yes	characteristic
107	#6455	C₂²	1	1	yes	characteristic
108	#6455	C₂²	1	1	yes	characteristic, complemented
109	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
110	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
111	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
112	#6453	C₂²	1	1	yes	characteristic, complemented
113	#6453	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	#6452	C₂²	1	1	yes	characteristic, complemented
118	#6452	C₂²	1	1	yes	characteristic, complemented
119	#6452	C₂²	1	1	yes	characteristic, complemented
120	#6452	C₂²	1	1	yes	characteristic, complemented
121	#6452	C₂²	1	1	yes	characteristic, complemented
122	#6452	C₂²	1	1	yes	characteristic, complemented
123	#6452	C₂²	1	1	yes	characteristic, complemented
124	#6451	C₂²	1	1	yes	characteristic, complemented
125	#6451	C₂²	1	1	yes	characteristic, complemented
126	#6451	C₂²	1	1	yes	characteristic, complemented
127	#6451	C₂²	1	1	yes	characteristic, complemented
128	#6450	C₂²	1	1	yes	characteristic, complemented
129	#6450	C₂²	1	1	yes	characteristic, complemented
130	#6450	C₂²	1	1	yes	characteristic, complemented
131	#6450	C₂²	1	1	yes	characteristic, complemented
132	#6450	C₂²	1	1	yes	characteristic, complemented
133	#6450	C₂²	1	1	yes	characteristic, complemented
134	#6450	C₂²	1	1	yes	characteristic, complemented
135	#6449	C₂²	1	1	yes	characteristic
136	#6449	C₂²	1	1	yes	characteristic
137	#6448	C₂²	1	1	yes	characteristic
138	#6448	C₂²	1	1	yes	characteristic
139	#6448	C₂²	1	1	yes	characteristic, complemented
140	#6448	C₂²	1	1	yes	characteristic, complemented
141	#6447	C₂²	1	1	yes	characteristic
142	#6447	C₂²	1	1	yes	characteristic
143	#6446	C₂²	1	1	yes	characteristic
144	#6446	C₂²	1	1	yes	characteristic
145	#6445	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, complemented
151	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
152	D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
153	#6442	C₂²	1	1	yes	characteristic, complemented
154	#6442	C₂²	1	1	yes	characteristic, complemented
155	#6441	C₂²	1	1	yes	characteristic
156	#6441	C₂²	1	1	yes	characteristic
157	#6441	C₂²	1	1	yes	characteristic, complemented
158	#6441	C₂²	1	1	yes	characteristic, complemented
159	#6441	C₂²	1	1	yes	characteristic, complemented
160	#6440	C₂²	1	1	yes	characteristic
161	#6440	C₂²	1	1	yes	characteristic
162	#6440	C₂²	1	1	yes	characteristic
163	#6440	C₂²	1	1	yes	characteristic
164	#6440	C₂²	1	1	yes	characteristic
165	#6440	C₂²	1	1	yes	characteristic, complemented
166	#6440	C₂²	1	1	yes	characteristic, complemented
167	#6439	C₂²	1	1	yes	characteristic
168	#6439	C₂²	1	1	yes	characteristic
169	#6439	C₂²	1	1	yes	characteristic, complemented
170	#6438	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, complemented
177	#6435	C₂²	1	1	yes	characteristic, complemented
178	C₄²×D₇	C₂²	1	1	yes	characteristic
179	C₄²×D₇	C₂²	1	1	yes	characteristic
180	#6433	C₂²	1	1	yes	characteristic, complemented
181	C₄×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
182	C₄×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
183	C₄×Dic₁₄	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	#3495	—	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×D₄	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	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	C₂²×Dic₇	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	#1159	—	2	4	no	—
205	C₂×D₂₈	C₂³	1	1	yes	characteristic
206	C₂×D₂₈	C₂³	1	1	yes	characteristic
207	C₂×C₄×D₇	—	2	4	no	—
208	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
209	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
210	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
211	C₂×C₄×D₇	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×Dic₁₄	—	2	4	no	—
220	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₁₄	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	C₇×C₄⋊C₄	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×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×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	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	C₂²⋊Dic₇	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	(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	(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	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	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
296	C₄⋊Dic₇	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	C₄×Dic₇	C₂³	1	1	yes	characteristic
330	C₄×Dic₇	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	#556	—	7	1	no	—
347	#556	—	7	1	no	—
348	#554	—	7	1	no	—
349	#554	—	7	1	no	—
350	#552	—	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	D₇	1	1	yes	characteristic, complemented
358	#551	—	7	1	no	—
359	#551	—	7	1	no	—
360	#551	—	7	1	no	—
361	#551	—	7	1	no	—
362	#544	—	7	1	no	—
363	#542	—	7	1	no	—
364	#542	—	7	1	no	—
365	#541	—	7	1	no	—
366	#541	—	7	1	no	—
367	#536	—	7	1	no	—
368	#533	—	7	1	no	—
369	#533	—	7	1	no	—
370	#529	—	7	1	no	—
371	#529	—	7	1	no	—
372	#525	—	7	1	no	—
373	C₂×C₂²⋊Q₈	—	7	1	no	—
374	#520	—	7	1	no	—
375	#519	—	7	1	no	—
376	C₂×#117	—	7	1	no	—
377	C₂³×C₇	C₂⁴	1	1	yes	characteristic
378	C₂³×C₇	C₂⁴	1	1	yes	characteristic
379	C₂²×D₇	—	2	2	no	—
380	C₂²×D₇	—	2	2	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	C₇×Q₈	—	4	1	no	—
386	C₇×D₄	—	2	2	no	—
387	C₂×C₄×C₇	—	2	2	no	—
388	C₂×C₄×C₇	—	2	2	no	—
389	C₂×C₄×C₇	—	4	1	no	—
390	C₂×C₄×C₇	—	4	1	no	—
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	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
404	C₂²⋊D₇	—	2	2	no	—
405	C₂²⋊D₇	—	2	2	no	—
406	C₂²⋊D₇	—	2	2	no	—
407	C₂²⋊D₇	—	4	1	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	#41	1	4	yes	—
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	—	4	1	no	—
428	C₄×D₇	—	2	2	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	—	4	1	no	—
436	C₄×D₇	—	4	1	no	—
437	C₄×D₇	—	4	1	no	—
438	C₄×D₇	—	4	1	no	—
439	Dic₁₄	—	2	2	no	—
440	Dic₁₄	—	2	2	no	—
441	Dic₁₄	—	2	2	no	—
442	Dic₁₄	—	2	2	no	—
443	Dic₁₄	—	2	2	no	—
444	Dic₁₄	—	4	1	no	—
445	Dic₁₄	—	4	1	no	—
446	Dic₁₄	—	4	1	no	—
447	C₂×#41	—	7	1	no	—
448	C₂²×Q₈	—	7	1	no	—
449	C₂³×C₄	—	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	C₄⋊Q₈	—	7	1	no	—
455	C₄⋊Q₈	—	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, complemented
471	#126	C₂×D₇	1	1	yes	characteristic, complemented
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	C₂×D₇	1	1	yes	characteristic, complemented
486	#125	C₂×D₇	1	1	yes	characteristic, complemented
487	#125	C₂×D₇	1	1	yes	characteristic, complemented
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	#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	C₂×D₇	1	1	yes	characteristic
507	#123	C₂×D₇	1	1	yes	characteristic
508	C₂²⋊Q₈	—	7	1	no	—
509	C₂²⋊Q₈	—	7	1	no	—
510	C₂²⋊Q₈	—	7	1	no	—
511	C₂²⋊Q₈	—	7	1	no	—
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	—	7	1	no	—
530	C₂²⋊Q₈	—	7	1	no	—
531	C₂²⋊Q₈	—	7	1	no	—
532	C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic
533	C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
534	#121	—	7	1	no	—
535	#121	—	7	1	no	—
536	#120	—	7	1	no	—
537	#120	—	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	—	7	1	no	—
549	C₄×Q₈	—	7	1	no	—
550	C₄×Q₈	—	7	1	no	—
551	C₄×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
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	C₂×D₇	1	1	yes	characteristic
566	#117	—	7	1	no	—
567	#117	—	7	1	no	—
568	#117	—	7	1	no	—
569	#117	—	7	1	no	—
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	—	7	1	no	—
583	#117	—	7	1	no	—
584	#117	—	7	1	no	—
585	#117	—	7	1	no	—
586	#117	C₂×D₇	1	1	yes	characteristic
587	#117	C₂×D₇	1	1	yes	characteristic
588	#117	C₂×D₇	1	1	yes	characteristic, complemented
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	C₂×D₇	1	1	yes	characteristic
596	C₂×C₂²⋊C₄	—	7	1	no	—
597	C₂×C₂²⋊C₄	—	7	1	no	—
598	C₂×C₂²⋊C₄	—	7	1	no	—
599	C₂×C₂²⋊C₄	—	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	—	4	4	no	—
618	C₂×D₇	2₋¹⁺⁴	1	2	yes	—
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	C₄×C₇	—	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	—	2	1	no	—
643	Dic₇	C₂×#41	1	2	yes	—
644	Dic₇	C₂×#41	1	2	yes	—
645	C₂⁴	—	7	1	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	—	7	1	no	—
653	C₂×Q₈	—	7	1	no	—
654	C₂×Q₈	—	7	1	no	—
655	C₂×Q₈	—	14	4	no	—
656	C₂×Q₈	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
663	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
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	—	14	4	no	—
681	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
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	C₄⋊C₄	—	7	1	no	—
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	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	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	C₂²×D₇	1	1	yes	characteristic
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	C₄²	—	7	1	no	—
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	—	7	1	no	—
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	C₄²	C₂²×D₇	1	1	yes	characteristic
803	C₂×C₇	—	2	2	no	—
804	C₂×C₇	—	4	1	no	—
805	C₂×C₇	C₂²×#41	1	1	yes	characteristic
806	C₂×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
807	C₂×C₇	#585	1	1	yes	characteristic
808	D₇	—	2	2	no	—
809	D₇	—	4	1	no	—
810	D₇	—	4	1	no	—
811	C₂³	—	7	1	no	—
812	C₂³	—	7	1	no	—
813	C₂³	—	7	1	no	—
814	C₂³	—	14	2	no	—
815	C₂³	—	14	2	no	—
816	C₂³	—	28	1	no	—
817	C₂³	C₂³×D₇	1	1	yes	characteristic
818	C₂³	C₂³×D₇	1	1	yes	characteristic
819	Q₈	—	4	1	no	—
820	Q₈	—	14	2	no	—
821	Q₈	—	14	2	no	—
822	Q₈	—	14	2	no	—
823	Q₈	—	14	2	no	—
824	Q₈	—	14	2	no	—
825	Q₈	—	28	1	no	—
826	Q₈	—	28	1	no	—
827	Q₈	—	28	1	no	—
828	D₄	—	2	2	no	—
829	D₄	—	14	2	no	—
830	D₄	—	14	2	no	—
831	D₄	—	14	2	no	—
832	D₄	—	14	2	no	—
833	D₄	—	28	1	no	—
834	D₄	—	28	1	no	—
835	C₂×C₄	—	2	2	no	—
836	C₂×C₄	—	2	2	no	—
837	C₂×C₄	—	4	1	no	—
838	C₂×C₄	—	4	1	no	—
839	C₂×C₄	—	7	4	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	—	7	1	no	—
849	C₂×C₄	—	7	1	no	—
850	C₂×C₄	—	7	1	no	—
851	C₂×C₄	—	7	1	no	—
852	C₂×C₄	—	7	1	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	—	14	2	no	—
859	C₂×C₄	—	14	2	no	—
860	C₂×C₄	—	14	2	no	—
861	C₂×C₄	—	14	2	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	—	28	1	no	—
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	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
881	C₇	#3495	1	1	yes	characteristic, complemented, Sylow
882	C₂²	—	2	1	no	—
883	C₂²	—	2	1	no	—
884	C₂²	—	2	1	no	—
885	C₂²	—	2	1	no	—
886	C₂²	—	2	1	no	—
887	C₂²	—	7	2	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	—	14	1	no	—
896	C₂²	—	28	4	no	—
897	C₂²	D₇×#41	1	2	yes	—
898	C₂²	C₂⁴×D₇	1	1	yes	characteristic
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	—	2	1	no	—
911	C₄	—	2	1	no	—
912	C₄	—	7	2	no	—
913	C₄	—	7	2	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	C₄	—	14	1	no	—
924	C₄	—	14	1	no	—
925	C₂	—	2	2	no	—
926	C₂	—	4	1	no	—
927	C₂	—	14	2	no	—
928	C₂	—	28	1	no	—
929	C₂	—	28	1	no	—
930	C₂	C₂×D₇×#41	1	1	yes	characteristic
931	C₂	#90616	1	1	yes	characteristic
932	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
prime radical	#90347	C₂
hypercenter	#552	D₇
hypocenter	C₇	#3495
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. #90401	C₂	semidirect
3. #90399	C₂	semidirect
4. #90397	C₂	semidirect
5. #90393	C₂	semidirect
6. #90387	C₂	semidirect
7. #90387	C₂	semidirect
8. #90384	C₂	semidirect
9. #90384	C₂	semidirect
10. #90381	C₂	semidirect
11. #90379	C₂	semidirect
12. #90349	C₂	semidirect
14. #90341	C₂	semidirect
15. #90339	C₂	semidirect
16. #90331	C₂	semidirect
17. #90328	C₂	semidirect
18. #90327	C₂	semidirect
19. #90314	C₂	semidirect
20. #90269	C₂	semidirect
21. #90259	C₂	semidirect
22. #90247	C₂	semidirect
23. #90237	C₂	semidirect
24. #90222	C₂	semidirect
25. #90222	C₂	semidirect
26. #90219	C₂	semidirect
27. #90218	C₂	semidirect
28. D₇×#117	C₂	semidirect
29. #90207	C₂	semidirect
30. #90204	C₂	semidirect
31. C₂×#6459	C₂	semidirect
35. C₇×#126	C₂²	semidirect
36. C₇×#126	C₂²	semidirect
37. C₇×#125	C₂²	semidirect
38. C₇×#125	C₂²	semidirect
39. C₇×#125	C₂²	semidirect
43. C₇×C₂²⋊Q₈	C₂²	semidirect
44. C₄×C₇×Q₈	C₂²	semidirect
48. C₇×#117	C₂²	semidirect
52. #6507	C₂²	semidirect
53. #6507	C₂²	semidirect
62. C₄×C₂²⋊D₇	C₂²	semidirect
70. C₂×Dic₇⋊C₄	C₂²	semidirect
77. #6461	C₂²	semidirect
78. #6461	C₂²	semidirect
79. #6461	C₂²	semidirect
81. #6460	C₂²	semidirect
94. #6459	C₂²	semidirect
95. #6459	C₂²	semidirect
96. #6459	C₂²	semidirect
108. #6455	C₂²	semidirect
111. D₇×C₄⋊C₄	C₂²	semidirect
112. #6453	C₂²	semidirect
113. #6453	C₂²	semidirect
114. #6452	C₂²	semidirect
115. #6452	C₂²	semidirect
116. #6452	C₂²	semidirect
117. #6452	C₂²	semidirect
118. #6452	C₂²	semidirect
119. #6452	C₂²	semidirect
120. #6452	C₂²	semidirect
121. #6452	C₂²	semidirect
122. #6452	C₂²	semidirect
123. #6452	C₂²	semidirect
124. #6451	C₂²	semidirect
125. #6451	C₂²	semidirect
126. #6451	C₂²	semidirect
127. #6451	C₂²	semidirect
128. #6450	C₂²	semidirect
129. #6450	C₂²	semidirect
130. #6450	C₂²	semidirect
131. #6450	C₂²	semidirect
132. #6450	C₂²	semidirect
133. #6450	C₂²	semidirect
134. #6450	C₂²	semidirect
139. #6448	C₂²	semidirect
140. #6448	C₂²	semidirect
150. (C₂²⋊D₇)⋊C₄	C₂²	semidirect
153. #6442	C₂²	semidirect
154. #6442	C₂²	semidirect
157. #6441	C₂²	semidirect
158. #6441	C₂²	semidirect
159. #6441	C₂²	semidirect
165. #6440	C₂²	semidirect
166. #6440	C₂²	semidirect
169. #6439	C₂²	semidirect
176. #6435	C₂²	semidirect
177. #6435	C₂²	semidirect
180. #6433	C₂²	semidirect
181. C₄×Dic₁₄	C₂²	semidirect
182. C₄×Dic₁₄	C₂²	semidirect
183. C₄×Dic₁₄	C₂²	semidirect
184. C₄×Dic₁₄	C₂²	semidirect
185. C₄×Dic₁₄	C₂²	semidirect
186. C₄×Dic₁₄	C₂²	semidirect
357. #552	D₇	semidirect
470. #126	C₂×D₇	semidirect
471. #126	C₂×D₇	semidirect
485. #125	C₂×D₇	semidirect
486. #125	C₂×D₇	semidirect
487. #125	C₂×D₇	semidirect
533. C₂²⋊Q₈	C₂×D₇	semidirect
551. C₄×Q₈	C₂×D₇	semidirect
588. #117	C₂×D₇	semidirect
881. C₇	#3495	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
#90401	2
#90399	2
#90397	2
#90393	2
#90387	2
#90384	2
#90381	2
#90379	2
#90349	2
#90347	2
#90341	2
#90339	2
#90331	2
#90328	2
#90327	2
#90314	2
#90269	2
#90259	2
#90247	2
#90237	2
#90222	2
#90219	2
#90218	2
D₇×#117	2
#90207	2
#90204	2
C₂×#6459	2
#3495	7