Subgroups — C₇×#3566 #11744518

Order 896.

954 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#563	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#562	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#562	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#560	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#559	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#556	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#555	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#553	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#553	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#553	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#552	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#552	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#552	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#551	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#551	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#551	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#542	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#542	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#542	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#541	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#541	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#540	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#539	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#539	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#539	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#538	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#538	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#538	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#529	C₂	1	1	yes	maximal, characteristic, complemented
30	C₇×#529	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇×#529	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₇×#127	C₂²	1	1	yes	characteristic
36	C₇×#126	C₂²	1	1	yes	characteristic
37	C₇×#126	C₂²	1	1	yes	characteristic
38	C₇×#126	C₂²	1	1	yes	characteristic
39	C₇×#126	C₂²	1	1	yes	characteristic
40	C₇×#126	C₂²	1	1	yes	characteristic
41	C₇×#126	C₂²	1	1	yes	characteristic
42	C₇×#126	C₂²	1	1	yes	characteristic
43	C₇×#126	C₂²	1	1	yes	characteristic
44	C₇×#126	C₂²	1	1	yes	characteristic
45	C₇×#126	C₂²	1	1	yes	characteristic
46	C₇×#126	C₂²	1	1	yes	characteristic
47	C₇×#126	C₂²	1	1	yes	characteristic
48	C₇×#126	C₂²	1	1	yes	characteristic
49	C₇×#126	C₂²	1	1	yes	characteristic
50	C₇×#126	C₂²	1	1	yes	characteristic, complemented
51	C₇×#126	C₂²	1	1	yes	characteristic, complemented
52	C₇×#126	C₂²	1	1	yes	characteristic, complemented
53	C₇×#126	C₂²	1	1	yes	characteristic, complemented
54	C₇×#126	C₂²	1	1	yes	characteristic, complemented
55	C₇×#126	C₂²	1	1	yes	characteristic, complemented
56	C₇×#125	C₂²	1	1	yes	characteristic, complemented
57	C₇×#125	C₂²	1	1	yes	characteristic, complemented
58	C₇×#125	C₂²	1	1	yes	characteristic, complemented
59	C₇×#125	C₂²	1	1	yes	characteristic, complemented
60	C₇×#125	C₂²	1	1	yes	characteristic, complemented
61	C₇×#125	C₂²	1	1	yes	characteristic, complemented
62	C₇×#125	C₂²	1	1	yes	characteristic, complemented
63	C₇×#125	C₂²	1	1	yes	characteristic, complemented
64	C₇×#125	C₂²	1	1	yes	characteristic, complemented
65	C₇×#125	C₂²	1	1	yes	characteristic, complemented
66	C₇×#125	C₂²	1	1	yes	characteristic, complemented
67	C₇×#125	C₂²	1	1	yes	characteristic, complemented
68	C₇×#124	C₂²	1	1	yes	characteristic
69	C₇×#124	C₂²	1	1	yes	characteristic
70	C₇×#124	C₂²	1	1	yes	characteristic
71	C₇×#124	C₂²	1	1	yes	characteristic
72	C₇×#124	C₂²	1	1	yes	characteristic
73	C₇×#124	C₂²	1	1	yes	characteristic
74	C₇×#124	C₂²	1	1	yes	characteristic
75	C₇×#124	C₂²	1	1	yes	characteristic
76	C₇×#124	C₂²	1	1	yes	characteristic
77	C₇×#124	C₂²	1	1	yes	characteristic, complemented
78	C₇×#124	C₂²	1	1	yes	characteristic, complemented
79	C₇×#124	C₂²	1	1	yes	characteristic, complemented
80	C₇×#123	C₂²	1	1	yes	characteristic
81	C₇×#123	C₂²	1	1	yes	characteristic
82	C₇×#123	C₂²	1	1	yes	characteristic
83	C₇×#123	C₂²	1	1	yes	characteristic
84	C₇×#123	C₂²	1	1	yes	characteristic
85	C₇×#123	C₂²	1	1	yes	characteristic
86	C₇×#123	C₂²	1	1	yes	characteristic
87	C₇×#123	C₂²	1	1	yes	characteristic
88	C₇×#123	C₂²	1	1	yes	characteristic
89	C₇×#123	C₂²	1	1	yes	characteristic
90	C₇×#123	C₂²	1	1	yes	characteristic
91	C₇×#123	C₂²	1	1	yes	characteristic
92	C₇×#123	C₂²	1	1	yes	characteristic
93	C₇×#123	C₂²	1	1	yes	characteristic
94	C₇×#123	C₂²	1	1	yes	characteristic
95	C₇×#123	C₂²	1	1	yes	characteristic
96	C₇×#123	C₂²	1	1	yes	characteristic
97	C₇×#123	C₂²	1	1	yes	characteristic
98	C₇×#123	C₂²	1	1	yes	characteristic, complemented
99	C₇×#123	C₂²	1	1	yes	characteristic, complemented
100	C₇×#123	C₂²	1	1	yes	characteristic, complemented
101	C₇×#123	C₂²	1	1	yes	characteristic, complemented
102	C₇×#123	C₂²	1	1	yes	characteristic, complemented
103	C₇×#123	C₂²	1	1	yes	characteristic, complemented
104	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
105	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
106	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
107	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
108	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
109	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
110	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
111	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
112	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
113	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
114	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
115	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
116	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
117	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
118	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
119	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
120	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
121	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
122	C₇×#121	C₂²	1	1	yes	characteristic
123	C₇×#121	C₂²	1	1	yes	characteristic
124	C₇×#121	C₂²	1	1	yes	characteristic
125	C₇×#121	C₂²	1	1	yes	characteristic
126	C₇×#121	C₂²	1	1	yes	characteristic
127	C₇×#121	C₂²	1	1	yes	characteristic
128	C₇×#121	C₂²	1	1	yes	characteristic
129	C₇×#121	C₂²	1	1	yes	characteristic
130	C₇×#121	C₂²	1	1	yes	characteristic
131	C₇×#121	C₂²	1	1	yes	characteristic
132	C₇×#121	C₂²	1	1	yes	characteristic
133	C₇×#121	C₂²	1	1	yes	characteristic
134	C₇×#121	C₂²	1	1	yes	characteristic
135	C₇×#121	C₂²	1	1	yes	characteristic
136	C₇×#121	C₂²	1	1	yes	characteristic
137	C₇×#121	C₂²	1	1	yes	characteristic, complemented
138	C₇×#121	C₂²	1	1	yes	characteristic, complemented
139	C₇×#121	C₂²	1	1	yes	characteristic, complemented
140	C₇×#120	C₂²	1	1	yes	characteristic
141	C₇×#120	C₂²	1	1	yes	characteristic
142	C₇×#120	C₂²	1	1	yes	characteristic
143	C₇×#120	C₂²	1	1	yes	characteristic
144	C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
145	C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
146	C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
147	C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
148	C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
149	C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
150	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
151	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
152	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
153	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
154	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
155	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
156	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
157	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
158	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
159	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
160	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
161	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
162	C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
163	C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
164	C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
165	C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
166	C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
167	C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
168	C₇×#117	C₂²	1	1	yes	characteristic
169	C₇×#117	C₂²	1	1	yes	characteristic
170	C₇×#117	C₂²	1	1	yes	characteristic
171	C₇×#117	C₂²	1	1	yes	characteristic
172	C₇×#117	C₂²	1	1	yes	characteristic
173	C₇×#117	C₂²	1	1	yes	characteristic
174	C₇×#117	C₂²	1	1	yes	characteristic, complemented
175	C₇×#117	C₂²	1	1	yes	characteristic, complemented
176	C₇×#117	C₂²	1	1	yes	characteristic, complemented
177	C₇×#117	C₂²	1	1	yes	characteristic, complemented
178	C₇×#117	C₂²	1	1	yes	characteristic, complemented
179	C₇×#117	C₂²	1	1	yes	characteristic, complemented
180	C₂×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
181	C₂×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₂×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₂×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
184	C₂×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
185	C₂×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
186	C₂×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
187	#3566	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
188	C₂⁴×C₇	C₂³	1	1	yes	characteristic
189	C₂×C₇×Q₈	C₂³	1	1	yes	characteristic
190	C₂×C₇×Q₈	C₂³	1	1	yes	characteristic
191	C₂×C₇×Q₈	C₂³	1	1	yes	characteristic
192	C₂×C₇×Q₈	C₂³	1	1	yes	characteristic
193	C₂×C₇×Q₈	C₂³	1	1	yes	characteristic
194	C₂×C₇×Q₈	C₂³	1	1	yes	characteristic
195	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
196	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
197	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
198	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
199	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
200	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
201	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
202	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
203	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
204	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
205	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
206	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
207	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
208	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
209	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
210	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
211	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
212	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
213	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
214	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
215	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
216	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
217	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
218	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
219	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
220	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
221	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
222	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
223	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
224	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
225	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
226	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
227	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
228	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
229	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
230	C₂²×C₄×C₇	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×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₄²×C₇	C₂³	1	1	yes	characteristic
328	C₄²×C₇	C₂³	1	1	yes	characteristic
329	C₄²×C₇	C₂³	1	1	yes	characteristic
330	C₄²×C₇	C₂³	1	1	yes	characteristic
331	C₄²×C₇	C₂³	1	1	yes	characteristic
332	C₄²×C₇	C₂³	1	1	yes	characteristic
333	C₄²×C₇	C₂³	1	1	yes	characteristic
334	C₄²×C₇	C₂³	1	1	yes	characteristic
335	C₄²×C₇	C₂³	1	1	yes	characteristic
336	C₄²×C₇	C₂³	1	1	yes	characteristic
337	C₄²×C₇	C₂³	1	1	yes	characteristic
338	C₄²×C₇	C₂³	1	1	yes	characteristic
339	C₄²×C₇	C₂³	1	1	yes	characteristic
340	C₄²×C₇	C₂³	1	1	yes	characteristic
341	C₄²×C₇	C₂³	1	1	yes	characteristic
342	C₄²×C₇	C₂³	1	1	yes	characteristic
343	#563	C₂×C₇	1	1	yes	characteristic, complemented
344	#562	C₂×C₇	1	1	yes	characteristic, complemented
345	#562	C₂×C₇	1	1	yes	characteristic, complemented
346	#560	C₂×C₇	1	1	yes	characteristic, complemented
347	#559	C₂×C₇	1	1	yes	characteristic, complemented
348	#556	C₂×C₇	1	1	yes	characteristic, complemented
349	#555	C₂×C₇	1	1	yes	characteristic, complemented
350	#553	C₂×C₇	1	1	yes	characteristic, complemented
351	#553	C₂×C₇	1	1	yes	characteristic, complemented
352	#553	C₂×C₇	1	1	yes	characteristic, complemented
353	#552	C₂×C₇	1	1	yes	characteristic, complemented
354	#552	C₂×C₇	1	1	yes	characteristic, complemented
355	#552	C₂×C₇	1	1	yes	characteristic, complemented
356	#551	C₂×C₇	1	1	yes	characteristic, complemented
357	#551	C₂×C₇	1	1	yes	characteristic, complemented
358	#551	C₂×C₇	1	1	yes	characteristic, complemented
359	#542	C₂×C₇	1	1	yes	characteristic, complemented
360	#542	C₂×C₇	1	1	yes	characteristic, complemented
361	#542	C₂×C₇	1	1	yes	characteristic, complemented
362	#541	C₂×C₇	1	1	yes	characteristic, complemented
363	#541	C₂×C₇	1	1	yes	characteristic, complemented
364	#540	C₂×C₇	1	1	yes	characteristic, complemented
365	#539	C₂×C₇	1	1	yes	characteristic, complemented
366	#539	C₂×C₇	1	1	yes	characteristic, complemented
367	#539	C₂×C₇	1	1	yes	characteristic, complemented
368	#538	C₂×C₇	1	1	yes	characteristic, complemented
369	#538	C₂×C₇	1	1	yes	characteristic, complemented
370	#538	C₂×C₇	1	1	yes	characteristic, complemented
371	#529	C₂×C₇	1	1	yes	characteristic, complemented
372	#529	C₂×C₇	1	1	yes	characteristic, complemented
373	#529	C₂×C₇	1	1	yes	characteristic, complemented
374	C₂³×C₇	—	4	1	no	—
375	C₂³×C₇	—	4	1	no	—
376	C₂³×C₇	—	4	1	no	—
377	C₂³×C₇	C₂⁴	1	1	yes	characteristic
378	C₂³×C₇	C₂⁴	1	1	yes	characteristic
379	C₂³×C₇	C₂⁴	1	1	yes	characteristic
380	C₂³×C₇	C₂⁴	1	1	yes	characteristic
381	C₂³×C₇	C₂⁴	1	1	yes	characteristic
382	C₂³×C₇	C₂⁴	1	1	yes	characteristic
383	C₂³×C₇	C₂⁴	1	1	yes	characteristic
384	C₇×Q₈	—	4	1	no	—
385	C₇×Q₈	—	4	1	no	—
386	C₇×Q₈	—	4	1	no	—
387	C₇×Q₈	—	4	1	no	—
388	C₇×Q₈	—	4	1	no	—
389	C₇×Q₈	—	4	1	no	—
390	C₇×D₄	—	4	1	no	—
391	C₇×D₄	—	4	1	no	—
392	C₇×D₄	—	4	1	no	—
393	C₇×D₄	—	4	1	no	—
394	C₇×D₄	—	4	1	no	—
395	C₇×D₄	—	4	1	no	—
396	C₇×D₄	—	4	1	no	—
397	C₇×D₄	—	4	1	no	—
398	C₇×D₄	—	4	1	no	—
399	C₇×D₄	—	4	1	no	—
400	C₇×D₄	—	4	1	no	—
401	C₇×D₄	—	4	1	no	—
402	C₇×D₄	—	4	1	no	—
403	C₇×D₄	—	4	1	no	—
404	C₇×D₄	—	4	1	no	—
405	C₇×D₄	—	4	1	no	—
406	C₇×D₄	—	4	1	no	—
407	C₇×D₄	—	4	1	no	—
408	C₂×C₄×C₇	—	4	1	no	—
409	C₂×C₄×C₇	—	4	1	no	—
410	C₂×C₄×C₇	—	4	1	no	—
411	C₂×C₄×C₇	—	4	1	no	—
412	C₂×C₄×C₇	—	4	1	no	—
413	C₂×C₄×C₇	—	4	1	no	—
414	C₂×C₄×C₇	—	4	1	no	—
415	C₂×C₄×C₇	—	4	1	no	—
416	C₂×C₄×C₇	—	4	1	no	—
417	C₂×C₄×C₇	—	4	1	no	—
418	C₂×C₄×C₇	—	4	1	no	—
419	C₂×C₄×C₇	—	4	1	no	—
420	C₂×C₄×C₇	—	4	1	no	—
421	C₂×C₄×C₇	—	4	1	no	—
422	C₂×C₄×C₇	—	4	1	no	—
423	C₂×C₄×C₇	—	4	1	no	—
424	C₂×C₄×C₇	—	4	1	no	—
425	C₂×C₄×C₇	—	4	1	no	—
426	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
427	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
428	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
429	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
430	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
431	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
432	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
433	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
434	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
435	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
436	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
437	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
438	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
439	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
440	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
441	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
442	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
443	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
444	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
445	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
446	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
447	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
448	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
449	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
450	C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
451	C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
452	C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
453	#127	C₂²×C₇	1	1	yes	characteristic
454	#126	C₂²×C₇	1	1	yes	characteristic
455	#126	C₂²×C₇	1	1	yes	characteristic
456	#126	C₂²×C₇	1	1	yes	characteristic
457	#126	C₂²×C₇	1	1	yes	characteristic
458	#126	C₂²×C₇	1	1	yes	characteristic
459	#126	C₂²×C₇	1	1	yes	characteristic
460	#126	C₂²×C₇	1	1	yes	characteristic
461	#126	C₂²×C₇	1	1	yes	characteristic
462	#126	C₂²×C₇	1	1	yes	characteristic
463	#126	C₂²×C₇	1	1	yes	characteristic
464	#126	C₂²×C₇	1	1	yes	characteristic
465	#126	C₂²×C₇	1	1	yes	characteristic
466	#126	C₂²×C₇	1	1	yes	characteristic
467	#126	C₂²×C₇	1	1	yes	characteristic
468	#126	C₂²×C₇	1	1	yes	characteristic, complemented
469	#126	C₂²×C₇	1	1	yes	characteristic, complemented
470	#126	C₂²×C₇	1	1	yes	characteristic, complemented
471	#126	C₂²×C₇	1	1	yes	characteristic, complemented
472	#126	C₂²×C₇	1	1	yes	characteristic, complemented
473	#126	C₂²×C₇	1	1	yes	characteristic, complemented
474	#125	C₂²×C₇	1	1	yes	characteristic, complemented
475	#125	C₂²×C₇	1	1	yes	characteristic, complemented
476	#125	C₂²×C₇	1	1	yes	characteristic, complemented
477	#125	C₂²×C₇	1	1	yes	characteristic, complemented
478	#125	C₂²×C₇	1	1	yes	characteristic, complemented
479	#125	C₂²×C₇	1	1	yes	characteristic, complemented
480	#125	C₂²×C₇	1	1	yes	characteristic, complemented
481	#125	C₂²×C₇	1	1	yes	characteristic, complemented
482	#125	C₂²×C₇	1	1	yes	characteristic, complemented
483	#125	C₂²×C₇	1	1	yes	characteristic, complemented
484	#125	C₂²×C₇	1	1	yes	characteristic, complemented
485	#125	C₂²×C₇	1	1	yes	characteristic, complemented
486	#124	C₂²×C₇	1	1	yes	characteristic
487	#124	C₂²×C₇	1	1	yes	characteristic
488	#124	C₂²×C₇	1	1	yes	characteristic
489	#124	C₂²×C₇	1	1	yes	characteristic
490	#124	C₂²×C₇	1	1	yes	characteristic
491	#124	C₂²×C₇	1	1	yes	characteristic
492	#124	C₂²×C₇	1	1	yes	characteristic
493	#124	C₂²×C₇	1	1	yes	characteristic
494	#124	C₂²×C₇	1	1	yes	characteristic
495	#124	C₂²×C₇	1	1	yes	characteristic, complemented
496	#124	C₂²×C₇	1	1	yes	characteristic, complemented
497	#124	C₂²×C₇	1	1	yes	characteristic, complemented
498	#123	C₂²×C₇	1	1	yes	characteristic
499	#123	C₂²×C₇	1	1	yes	characteristic
500	#123	C₂²×C₇	1	1	yes	characteristic
501	#123	C₂²×C₇	1	1	yes	characteristic
502	#123	C₂²×C₇	1	1	yes	characteristic
503	#123	C₂²×C₇	1	1	yes	characteristic
504	#123	C₂²×C₇	1	1	yes	characteristic
505	#123	C₂²×C₇	1	1	yes	characteristic
506	#123	C₂²×C₇	1	1	yes	characteristic
507	#123	C₂²×C₇	1	1	yes	characteristic
508	#123	C₂²×C₇	1	1	yes	characteristic
509	#123	C₂²×C₇	1	1	yes	characteristic
510	#123	C₂²×C₇	1	1	yes	characteristic
511	#123	C₂²×C₇	1	1	yes	characteristic
512	#123	C₂²×C₇	1	1	yes	characteristic
513	#123	C₂²×C₇	1	1	yes	characteristic
514	#123	C₂²×C₇	1	1	yes	characteristic
515	#123	C₂²×C₇	1	1	yes	characteristic
516	#123	C₂²×C₇	1	1	yes	characteristic, complemented
517	#123	C₂²×C₇	1	1	yes	characteristic, complemented
518	#123	C₂²×C₇	1	1	yes	characteristic, complemented
519	#123	C₂²×C₇	1	1	yes	characteristic, complemented
520	#123	C₂²×C₇	1	1	yes	characteristic, complemented
521	#123	C₂²×C₇	1	1	yes	characteristic, complemented
522	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
523	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
524	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
525	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
526	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
527	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
528	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
529	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
530	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
531	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
532	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
533	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
534	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
535	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
536	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
537	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
538	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
539	C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
540	#121	C₂²×C₇	1	1	yes	characteristic
541	#121	C₂²×C₇	1	1	yes	characteristic
542	#121	C₂²×C₇	1	1	yes	characteristic
543	#121	C₂²×C₇	1	1	yes	characteristic
544	#121	C₂²×C₇	1	1	yes	characteristic
545	#121	C₂²×C₇	1	1	yes	characteristic
546	#121	C₂²×C₇	1	1	yes	characteristic
547	#121	C₂²×C₇	1	1	yes	characteristic
548	#121	C₂²×C₇	1	1	yes	characteristic
549	#121	C₂²×C₇	1	1	yes	characteristic
550	#121	C₂²×C₇	1	1	yes	characteristic
551	#121	C₂²×C₇	1	1	yes	characteristic
552	#121	C₂²×C₇	1	1	yes	characteristic
553	#121	C₂²×C₇	1	1	yes	characteristic
554	#121	C₂²×C₇	1	1	yes	characteristic
555	#121	C₂²×C₇	1	1	yes	characteristic, complemented
556	#121	C₂²×C₇	1	1	yes	characteristic, complemented
557	#121	C₂²×C₇	1	1	yes	characteristic, complemented
558	#120	C₂²×C₇	1	1	yes	characteristic
559	#120	C₂²×C₇	1	1	yes	characteristic
560	#120	C₂²×C₇	1	1	yes	characteristic
561	#120	C₂²×C₇	1	1	yes	characteristic
562	C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
563	C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
564	C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
565	C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
566	C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
567	C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
568	C₄×D₄	C₂²×C₇	1	1	yes	characteristic
569	C₄×D₄	C₂²×C₇	1	1	yes	characteristic
570	C₄×D₄	C₂²×C₇	1	1	yes	characteristic
571	C₄×D₄	C₂²×C₇	1	1	yes	characteristic
572	C₄×D₄	C₂²×C₇	1	1	yes	characteristic
573	C₄×D₄	C₂²×C₇	1	1	yes	characteristic
574	C₄×D₄	C₂²×C₇	1	1	yes	characteristic
575	C₄×D₄	C₂²×C₇	1	1	yes	characteristic
576	C₄×D₄	C₂²×C₇	1	1	yes	characteristic
577	C₄×D₄	C₂²×C₇	1	1	yes	characteristic
578	C₄×D₄	C₂²×C₇	1	1	yes	characteristic
579	C₄×D₄	C₂²×C₇	1	1	yes	characteristic
580	C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
581	C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
582	C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
583	C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
584	C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
585	C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
586	#117	C₂²×C₇	1	1	yes	characteristic
587	#117	C₂²×C₇	1	1	yes	characteristic
588	#117	C₂²×C₇	1	1	yes	characteristic
589	#117	C₂²×C₇	1	1	yes	characteristic
590	#117	C₂²×C₇	1	1	yes	characteristic
591	#117	C₂²×C₇	1	1	yes	characteristic
592	#117	C₂²×C₇	1	1	yes	characteristic, complemented
593	#117	C₂²×C₇	1	1	yes	characteristic, complemented
594	#117	C₂²×C₇	1	1	yes	characteristic, complemented
595	#117	C₂²×C₇	1	1	yes	characteristic, complemented
596	#117	C₂²×C₇	1	1	yes	characteristic, complemented
597	#117	C₂²×C₇	1	1	yes	characteristic, complemented
598	C₂×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
599	C₂×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
600	C₂×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
601	C₂×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
602	C₂×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
603	C₂×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
604	C₂×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
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	—	2	1	no	—
612	C₂²×C₇	—	2	1	no	—
613	C₂²×C₇	—	2	1	no	—
614	C₂²×C₇	—	2	1	no	—
615	C₂²×C₇	—	2	1	no	—
616	C₂²×C₇	—	2	1	no	—
617	C₂²×C₇	—	2	1	no	—
618	C₂²×C₇	—	2	1	no	—
619	C₂²×C₇	—	2	1	no	—
620	C₂²×C₇	—	2	1	no	—
621	C₂²×C₇	—	2	1	no	—
622	C₂²×C₇	—	2	1	no	—
623	C₂²×C₇	—	2	1	no	—
624	C₂²×C₇	—	2	1	no	—
625	C₂²×C₇	—	2	1	no	—
626	C₂²×C₇	—	8	2	no	—
627	C₂²×C₇	C₂⁵	1	1	yes	characteristic
628	C₄×C₇	—	2	1	no	—
629	C₄×C₇	—	2	1	no	—
630	C₄×C₇	—	2	1	no	—
631	C₄×C₇	—	2	1	no	—
632	C₄×C₇	—	2	1	no	—
633	C₄×C₇	—	2	1	no	—
634	C₄×C₇	—	2	1	no	—
635	C₄×C₇	—	2	1	no	—
636	C₄×C₇	—	2	1	no	—
637	C₄×C₇	—	2	1	no	—
638	C₄×C₇	—	2	1	no	—
639	C₄×C₇	—	2	1	no	—
640	C₄×C₇	—	2	1	no	—
641	C₄×C₇	—	2	1	no	—
642	C₄×C₇	—	2	1	no	—
643	C₄×C₇	—	2	1	no	—
644	C₄×C₇	—	2	1	no	—
645	C₄×C₇	—	2	1	no	—
646	C₄×C₇	—	2	1	no	—
647	C₄×C₇	—	2	1	no	—
648	C₄×C₇	—	2	1	no	—
649	C₄×C₇	—	2	1	no	—
650	C₄×C₇	—	2	1	no	—
651	C₄×C₇	—	2	1	no	—
652	C₂⁴	C₂³×C₇	1	1	yes	characteristic
653	C₂×Q₈	C₂³×C₇	1	1	yes	characteristic
654	C₂×Q₈	C₂³×C₇	1	1	yes	characteristic
655	C₂×Q₈	C₂³×C₇	1	1	yes	characteristic
656	C₂×Q₈	C₂³×C₇	1	1	yes	characteristic
657	C₂×Q₈	C₂³×C₇	1	1	yes	characteristic
658	C₂×Q₈	C₂³×C₇	1	1	yes	characteristic
659	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
660	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
661	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
662	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
663	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
664	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
665	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
666	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
667	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
668	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
669	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
670	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
671	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
672	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
673	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
674	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
675	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
676	C₂×D₄	C₂³×C₇	1	1	yes	characteristic
677	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
678	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
679	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
680	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
681	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
682	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
683	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
684	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
685	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
686	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
687	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
688	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
689	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
690	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
691	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
692	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
693	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
694	C₂²×C₄	C₂³×C₇	1	1	yes	characteristic
695	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
696	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
697	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
698	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
699	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
700	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
701	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
702	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
703	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
704	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
705	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
706	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
707	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
708	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
709	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
710	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
711	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
712	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
713	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
714	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
715	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
716	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
717	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
718	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
719	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
720	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
721	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
722	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
723	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
724	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
725	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
726	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
727	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
728	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
729	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
730	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
731	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
732	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
733	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
734	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
735	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
736	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
737	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
738	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
739	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
740	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
741	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
742	C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
743	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
744	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
745	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
746	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
747	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
748	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
749	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
750	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
751	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
752	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
753	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
754	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
755	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
756	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
757	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
758	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
759	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
760	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
761	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
762	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
763	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
764	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
765	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
766	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
767	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
768	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
769	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
770	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
771	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
772	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
773	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
774	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
775	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
776	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
777	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
778	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
779	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
780	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
781	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
782	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
783	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
784	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
785	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
786	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
787	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
788	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
789	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
790	C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
791	C₄²	C₂³×C₇	1	1	yes	characteristic
792	C₄²	C₂³×C₇	1	1	yes	characteristic
793	C₄²	C₂³×C₇	1	1	yes	characteristic
794	C₄²	C₂³×C₇	1	1	yes	characteristic
795	C₄²	C₂³×C₇	1	1	yes	characteristic
796	C₄²	C₂³×C₇	1	1	yes	characteristic
797	C₄²	C₂³×C₇	1	1	yes	characteristic
798	C₄²	C₂³×C₇	1	1	yes	characteristic
799	C₄²	C₂³×C₇	1	1	yes	characteristic
800	C₄²	C₂³×C₇	1	1	yes	characteristic
801	C₄²	C₂³×C₇	1	1	yes	characteristic
802	C₄²	C₂³×C₇	1	1	yes	characteristic
803	C₄²	C₂³×C₇	1	1	yes	characteristic
804	C₄²	C₂³×C₇	1	1	yes	characteristic
805	C₄²	C₂³×C₇	1	1	yes	characteristic
806	C₄²	C₂³×C₇	1	1	yes	characteristic
807	C₂×C₇	—	4	1	no	—
808	C₂×C₇	—	4	1	no	—
809	C₂×C₇	—	4	1	no	—
810	C₂×C₇	—	4	1	no	—
811	C₂×C₇	—	4	1	no	—
812	C₂×C₇	—	4	1	no	—
813	C₂×C₇	—	4	1	no	—
814	C₂×C₇	#585	1	1	yes	characteristic
815	C₂×C₇	#585	1	1	yes	characteristic
816	C₂×C₇	#585	1	1	yes	characteristic
817	C₂³	—	4	1	no	—
818	C₂³	—	4	1	no	—
819	C₂³	—	4	1	no	—
820	C₂³	C₂⁴×C₇	1	1	yes	characteristic
821	C₂³	C₂⁴×C₇	1	1	yes	characteristic
822	C₂³	C₂⁴×C₇	1	1	yes	characteristic
823	C₂³	C₂⁴×C₇	1	1	yes	characteristic
824	C₂³	C₂⁴×C₇	1	1	yes	characteristic
825	C₂³	C₂⁴×C₇	1	1	yes	characteristic
826	C₂³	C₂⁴×C₇	1	1	yes	characteristic
827	Q₈	—	4	1	no	—
828	Q₈	—	4	1	no	—
829	Q₈	—	4	1	no	—
830	Q₈	—	4	1	no	—
831	Q₈	—	4	1	no	—
832	Q₈	—	4	1	no	—
833	D₄	—	4	1	no	—
834	D₄	—	4	1	no	—
835	D₄	—	4	1	no	—
836	D₄	—	4	1	no	—
837	D₄	—	4	1	no	—
838	D₄	—	4	1	no	—
839	D₄	—	4	1	no	—
840	D₄	—	4	1	no	—
841	D₄	—	4	1	no	—
842	D₄	—	4	1	no	—
843	D₄	—	4	1	no	—
844	D₄	—	4	1	no	—
845	D₄	—	4	1	no	—
846	D₄	—	4	1	no	—
847	D₄	—	4	1	no	—
848	D₄	—	4	1	no	—
849	D₄	—	4	1	no	—
850	D₄	—	4	1	no	—
851	C₂×C₄	—	4	1	no	—
852	C₂×C₄	—	4	1	no	—
853	C₂×C₄	—	4	1	no	—
854	C₂×C₄	—	4	1	no	—
855	C₂×C₄	—	4	1	no	—
856	C₂×C₄	—	4	1	no	—
857	C₂×C₄	—	4	1	no	—
858	C₂×C₄	—	4	1	no	—
859	C₂×C₄	—	4	1	no	—
860	C₂×C₄	—	4	1	no	—
861	C₂×C₄	—	4	1	no	—
862	C₂×C₄	—	4	1	no	—
863	C₂×C₄	—	4	1	no	—
864	C₂×C₄	—	4	1	no	—
865	C₂×C₄	—	4	1	no	—
866	C₂×C₄	—	4	1	no	—
867	C₂×C₄	—	4	1	no	—
868	C₂×C₄	—	4	1	no	—
869	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
870	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
871	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
872	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
873	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
874	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
875	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
876	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
877	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
878	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
879	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
880	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
881	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
882	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
883	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
884	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
885	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
886	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
887	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
888	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
889	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
890	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
891	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
892	C₂×C₄	C₂⁴×C₇	1	1	yes	characteristic
893	C₇	#3566	1	1	yes	characteristic, direct product factor, Sylow
894	C₂²	—	2	1	no	—
895	C₂²	—	2	1	no	—
896	C₂²	—	2	1	no	—
897	C₂²	—	2	1	no	—
898	C₂²	—	2	1	no	—
899	C₂²	—	2	1	no	—
900	C₂²	—	2	1	no	—
901	C₂²	—	2	1	no	—
902	C₂²	—	2	1	no	—
903	C₂²	—	2	1	no	—
904	C₂²	—	2	1	no	—
905	C₂²	—	2	1	no	—
906	C₂²	—	2	1	no	—
907	C₂²	—	2	1	no	—
908	C₂²	—	2	1	no	—
909	C₂²	—	2	1	no	—
910	C₂²	—	2	1	no	—
911	C₂²	—	2	1	no	—
912	C₂²	—	2	1	no	—
913	C₂²	—	2	1	no	—
914	C₂²	—	2	1	no	—
915	C₂²	—	8	2	no	—
916	C₂²	C₂⁵×C₇	1	1	yes	characteristic
917	C₄	—	2	1	no	—
918	C₄	—	2	1	no	—
919	C₄	—	2	1	no	—
920	C₄	—	2	1	no	—
921	C₄	—	2	1	no	—
922	C₄	—	2	1	no	—
923	C₄	—	2	1	no	—
924	C₄	—	2	1	no	—
925	C₄	—	2	1	no	—
926	C₄	—	2	1	no	—
927	C₄	—	2	1	no	—
928	C₄	—	2	1	no	—
929	C₄	—	2	1	no	—
930	C₄	—	2	1	no	—
931	C₄	—	2	1	no	—
932	C₄	—	2	1	no	—
933	C₄	—	2	1	no	—
934	C₄	—	2	1	no	—
935	C₄	—	2	1	no	—
936	C₄	—	2	1	no	—
937	C₄	—	2	1	no	—
938	C₄	—	2	1	no	—
939	C₄	—	2	1	no	—
940	C₄	—	2	1	no	—
941	C₂	—	4	1	no	—
942	C₂	—	4	1	no	—
943	C₂	—	4	1	no	—
944	C₂	—	4	1	no	—
945	C₂	—	4	1	no	—
946	C₂	—	4	1	no	—
947	C₂	—	4	1	no	—
948	C₂	C₇×#585	1	1	yes	characteristic
949	C₂	C₇×#585	1	1	yes	characteristic
950	C₂	C₇×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁵×C₇
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#563	C₂	semidirect
2. C₇×#562	C₂	semidirect
3. C₇×#562	C₂	semidirect
4. C₇×#560	C₂	semidirect
5. C₇×#559	C₂	semidirect
6. C₇×#556	C₂	semidirect
7. C₇×#555	C₂	semidirect
8. C₇×#553	C₂	semidirect
9. C₇×#553	C₂	semidirect
10. C₇×#553	C₂	semidirect
11. C₇×#552	C₂	semidirect
12. C₇×#552	C₂	semidirect
13. C₇×#552	C₂	semidirect
14. C₇×#551	C₂	semidirect
15. C₇×#551	C₂	semidirect
16. C₇×#551	C₂	semidirect
17. C₇×#542	C₂	semidirect
18. C₇×#542	C₂	semidirect
19. C₇×#542	C₂	semidirect
20. C₇×#541	C₂	semidirect
21. C₇×#541	C₂	semidirect
22. C₇×#540	C₂	semidirect
23. C₇×#539	C₂	semidirect
24. C₇×#539	C₂	semidirect
25. C₇×#539	C₂	semidirect
26. C₇×#538	C₂	semidirect
27. C₇×#538	C₂	semidirect
28. C₇×#538	C₂	semidirect
29. C₇×#529	C₂	semidirect
30. C₇×#529	C₂	semidirect
31. C₇×#529	C₂	semidirect
32. C₇×C₄⋊Q₈	C₂²	semidirect
33. C₇×C₄⋊Q₈	C₂²	semidirect
34. C₇×C₄⋊Q₈	C₂²	semidirect
50. C₇×#126	C₂²	semidirect
51. C₇×#126	C₂²	semidirect
52. C₇×#126	C₂²	semidirect
53. C₇×#126	C₂²	semidirect
54. C₇×#126	C₂²	semidirect
55. C₇×#126	C₂²	semidirect
56. C₇×#125	C₂²	semidirect
57. C₇×#125	C₂²	semidirect
58. C₇×#125	C₂²	semidirect
59. C₇×#125	C₂²	semidirect
60. C₇×#125	C₂²	semidirect
61. C₇×#125	C₂²	semidirect
62. C₇×#125	C₂²	semidirect
63. C₇×#125	C₂²	semidirect
64. C₇×#125	C₂²	semidirect
65. C₇×#125	C₂²	semidirect
66. C₇×#125	C₂²	semidirect
67. C₇×#125	C₂²	semidirect
77. C₇×#124	C₂²	semidirect
78. C₇×#124	C₂²	semidirect
79. C₇×#124	C₂²	semidirect
98. C₇×#123	C₂²	semidirect
99. C₇×#123	C₂²	semidirect
100. C₇×#123	C₂²	semidirect
101. C₇×#123	C₂²	semidirect
102. C₇×#123	C₂²	semidirect
103. C₇×#123	C₂²	semidirect
113. C₇×C₂²⋊Q₈	C₂²	semidirect
114. C₇×C₂²⋊Q₈	C₂²	semidirect
115. C₇×C₂²⋊Q₈	C₂²	semidirect
116. C₇×C₂²⋊Q₈	C₂²	semidirect
117. C₇×C₂²⋊Q₈	C₂²	semidirect
118. C₇×C₂²⋊Q₈	C₂²	semidirect
119. C₇×C₂²⋊Q₈	C₂²	semidirect
120. C₇×C₂²⋊Q₈	C₂²	semidirect
121. C₇×C₂²⋊Q₈	C₂²	semidirect
137. C₇×#121	C₂²	semidirect
138. C₇×#121	C₂²	semidirect
139. C₇×#121	C₂²	semidirect
144. C₄×C₇×Q₈	C₂²	semidirect
145. C₄×C₇×Q₈	C₂²	semidirect
146. C₄×C₇×Q₈	C₂²	semidirect
147. C₄×C₇×Q₈	C₂²	semidirect
148. C₄×C₇×Q₈	C₂²	semidirect
149. C₄×C₇×Q₈	C₂²	semidirect
162. C₄×C₇×D₄	C₂²	semidirect
163. C₄×C₇×D₄	C₂²	semidirect
164. C₄×C₇×D₄	C₂²	semidirect
165. C₄×C₇×D₄	C₂²	semidirect
166. C₄×C₇×D₄	C₂²	semidirect
167. C₄×C₇×D₄	C₂²	semidirect
174. C₇×#117	C₂²	semidirect
175. C₇×#117	C₂²	semidirect
176. C₇×#117	C₂²	semidirect
177. C₇×#117	C₂²	semidirect
178. C₇×#117	C₂²	semidirect
179. C₇×#117	C₂²	semidirect
180. C₂×C₇×C₄⋊C₄	C₂²	semidirect
181. C₂×C₇×C₄⋊C₄	C₂²	semidirect
182. C₂×C₇×C₄⋊C₄	C₂²	semidirect
186. C₂×C₄²×C₇	C₂²	semidirect
187. #3566	C₇	direct (N × H)
343. #563	C₂×C₇	semidirect
344. #562	C₂×C₇	semidirect
345. #562	C₂×C₇	semidirect
346. #560	C₂×C₇	semidirect
347. #559	C₂×C₇	semidirect
348. #556	C₂×C₇	semidirect
349. #555	C₂×C₇	semidirect
350. #553	C₂×C₇	semidirect
351. #553	C₂×C₇	semidirect
352. #553	C₂×C₇	semidirect
353. #552	C₂×C₇	semidirect
354. #552	C₂×C₇	semidirect
355. #552	C₂×C₇	semidirect
356. #551	C₂×C₇	semidirect
357. #551	C₂×C₇	semidirect
358. #551	C₂×C₇	semidirect
359. #542	C₂×C₇	semidirect
360. #542	C₂×C₇	semidirect
361. #542	C₂×C₇	semidirect
362. #541	C₂×C₇	semidirect
363. #541	C₂×C₇	semidirect
364. #540	C₂×C₇	semidirect
365. #539	C₂×C₇	semidirect
366. #539	C₂×C₇	semidirect
367. #539	C₂×C₇	semidirect
368. #538	C₂×C₇	semidirect
369. #538	C₂×C₇	semidirect
370. #538	C₂×C₇	semidirect
371. #529	C₂×C₇	semidirect
372. #529	C₂×C₇	semidirect
373. #529	C₂×C₇	semidirect
450. C₄⋊Q₈	C₂²×C₇	semidirect
451. C₄⋊Q₈	C₂²×C₇	semidirect
452. C₄⋊Q₈	C₂²×C₇	semidirect
468. #126	C₂²×C₇	semidirect
469. #126	C₂²×C₇	semidirect
470. #126	C₂²×C₇	semidirect
471. #126	C₂²×C₇	semidirect
472. #126	C₂²×C₇	semidirect
473. #126	C₂²×C₇	semidirect
474. #125	C₂²×C₇	semidirect
475. #125	C₂²×C₇	semidirect
476. #125	C₂²×C₇	semidirect
477. #125	C₂²×C₇	semidirect
478. #125	C₂²×C₇	semidirect
479. #125	C₂²×C₇	semidirect
480. #125	C₂²×C₇	semidirect
481. #125	C₂²×C₇	semidirect
482. #125	C₂²×C₇	semidirect
483. #125	C₂²×C₇	semidirect
484. #125	C₂²×C₇	semidirect
485. #125	C₂²×C₇	semidirect
495. #124	C₂²×C₇	semidirect
496. #124	C₂²×C₇	semidirect
497. #124	C₂²×C₇	semidirect
516. #123	C₂²×C₇	semidirect
517. #123	C₂²×C₇	semidirect
518. #123	C₂²×C₇	semidirect
519. #123	C₂²×C₇	semidirect
520. #123	C₂²×C₇	semidirect
521. #123	C₂²×C₇	semidirect
531. C₂²⋊Q₈	C₂²×C₇	semidirect
532. C₂²⋊Q₈	C₂²×C₇	semidirect
533. C₂²⋊Q₈	C₂²×C₇	semidirect
534. C₂²⋊Q₈	C₂²×C₇	semidirect
535. C₂²⋊Q₈	C₂²×C₇	semidirect
536. C₂²⋊Q₈	C₂²×C₇	semidirect
537. C₂²⋊Q₈	C₂²×C₇	semidirect
538. C₂²⋊Q₈	C₂²×C₇	semidirect
539. C₂²⋊Q₈	C₂²×C₇	semidirect
555. #121	C₂²×C₇	semidirect
556. #121	C₂²×C₇	semidirect
557. #121	C₂²×C₇	semidirect
562. C₄×Q₈	C₂²×C₇	semidirect
563. C₄×Q₈	C₂²×C₇	semidirect
564. C₄×Q₈	C₂²×C₇	semidirect
565. C₄×Q₈	C₂²×C₇	semidirect
566. C₄×Q₈	C₂²×C₇	semidirect
567. C₄×Q₈	C₂²×C₇	semidirect
580. C₄×D₄	C₂²×C₇	semidirect
581. C₄×D₄	C₂²×C₇	semidirect
582. C₄×D₄	C₂²×C₇	semidirect
583. C₄×D₄	C₂²×C₇	semidirect
584. C₄×D₄	C₂²×C₇	semidirect
585. C₄×D₄	C₂²×C₇	semidirect
592. #117	C₂²×C₇	semidirect
593. #117	C₂²×C₇	semidirect
594. #117	C₂²×C₇	semidirect
595. #117	C₂²×C₇	semidirect
596. #117	C₂²×C₇	semidirect
597. #117	C₂²×C₇	semidirect
598. C₂×C₄⋊C₄	C₂²×C₇	semidirect
599. C₂×C₄⋊C₄	C₂²×C₇	semidirect
600. C₂×C₄⋊C₄	C₂²×C₇	semidirect
604. C₂×C₄²	C₂²×C₇	semidirect
893. C₇	#3566	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇×#563	2
C₇×#562	2
C₇×#560	2
C₇×#559	2
C₇×#556	2
C₇×#555	2
C₇×#553	2
C₇×#552	2
C₇×#551	2
C₇×#542	2
C₇×#541	2
C₇×#540	2
C₇×#539	2
C₇×#538	2
C₇×#529	2
#3566	7

Subgroups — C7×#3566 #11744518

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#3566 #11744518