Subgroups — C₇×#60927 #13238143

Order 1792.

1772 conjugacy classes of subgroups.

The subgroup lattice has 1140 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3510	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3461	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3263	C₂	1	2	yes	maximal, complemented
4	C₇×#3262	C₂	1	2	yes	maximal, complemented
5	C₇×#3258	C₂	1	2	yes	maximal, complemented
6	C₇×#3258	C₂	1	2	yes	maximal, complemented
7	C₇×#3256	C₂	1	2	yes	maximal, complemented
8	C₇×#3252	C₂	1	2	yes	maximal, complemented
9	C₇×#3250	C₂	1	2	yes	maximal, complemented
10	C₇×#3248	C₂	1	2	yes	maximal, complemented
11	C₇×#3082	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3081	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3078	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3076	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3063	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3062	C₂	1	1	yes	maximal, characteristic
17	C₇×#3059	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3057	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3044	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3042	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3040	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₇×#464	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2906	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₇×#137	C₂²	1	1	yes	characteristic
25	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₂²×C₇×Q₁₆	C₂²	1	1	yes	characteristic
27	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
28	C₂×C₇×#131	C₂²	1	1	yes	characteristic
29	C₂×C₇×#131	C₂²	1	1	yes	characteristic
30	C₇×#559	—	2	1	no	—
31	C₇×#559	—	2	1	no	—
32	C₇×#556	—	2	1	no	—
33	C₇×#556	—	2	1	no	—
34	C₇×#551	—	2	2	no	—
35	C₇×#551	—	2	2	no	—
36	C₇×#544	C₂²	1	1	yes	characteristic
37	C₇×#542	—	2	1	no	—
38	C₇×#542	C₂²	1	2	yes	—
39	C₇×#542	C₂²	1	2	yes	—
40	C₇×#542	C₂²	1	2	yes	complemented
41	C₇×#541	—	2	1	no	—
42	C₇×#541	C₂²	1	2	yes	complemented
43	C₇×#539	—	2	2	no	—
44	C₇×#537	C₂²	1	1	yes	characteristic
45	C₇×#536	C₂²	1	1	yes	characteristic
46	C₇×#536	C₂²	1	1	yes	characteristic
47	C₇×#536	C₂²	1	1	yes	characteristic
48	C₇×#535	C₂²	1	1	yes	characteristic
49	C₇×#533	—	2	1	no	—
50	C₇×#533	C₂²	1	1	yes	characteristic
51	C₇×#533	C₂²	1	2	yes	complemented
52	C₇×#529	—	2	2	no	—
53	C₇×#529	—	2	1	no	—
54	C₇×#529	C₂²	1	2	yes	—
55	C₇×#529	C₂²	1	2	yes	—
56	C₇×#529	C₂²	1	2	yes	complemented
57	C₂×C₇×#124	C₂²	1	1	yes	characteristic
58	C₇×#519	C₂²	1	1	yes	characteristic
59	C₇×#518	C₂²	1	1	yes	characteristic
60	C₄×C₇×#41	C₂²	1	1	yes	characteristic
61	C₄×C₇×#41	C₂²	1	1	yes	characteristic
62	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
63	C₇×#479	C₂²	1	1	yes	characteristic, complemented
64	C₇×#479	C₂²	1	2	yes	complemented
65	C₇×#479	C₂²	1	2	yes	complemented
66	C₇×#479	C₂²	1	2	yes	complemented
67	C₇×#479	C₂²	1	1	yes	characteristic, complemented
68	C₇×#479	C₂²	1	2	yes	complemented
69	C₇×#478	C₂²	1	2	yes	—
70	C₇×#478	C₂²	1	2	yes	—
71	C₇×#478	C₂²	1	1	yes	characteristic, complemented
72	C₇×#478	C₂²	1	1	yes	characteristic, complemented
73	C₇×#477	C₂²	1	2	yes	complemented
74	C₇×#477	C₂²	1	1	yes	characteristic, complemented
75	C₇×#477	C₂²	1	2	yes	complemented
76	C₇×#476	C₂²	1	2	yes	—
77	C₇×#476	C₂²	1	1	yes	characteristic, complemented
78	C₇×#475	C₂²	1	2	yes	complemented
79	C₇×#475	C₂²	1	1	yes	characteristic, complemented
80	C₇×#475	C₂²	1	2	yes	complemented
81	C₇×#474	C₂²	1	2	yes	—
82	C₇×#474	C₂²	1	1	yes	characteristic, complemented
83	C₇×#470	C₂²	1	2	yes	complemented
84	C₇×#470	C₂²	1	2	yes	complemented
85	C₇×#470	C₂²	1	2	yes	complemented
86	C₇×#469	C₂²	1	2	yes	—
87	C₇×#468	C₂²	1	2	yes	—
88	C₇×#468	C₂²	1	2	yes	—
89	C₇×#468	C₂²	1	2	yes	—
90	C₇×#468	C₂²	1	2	yes	complemented
91	C₇×#467	C₂²	1	2	yes	complemented
92	C₇×#467	C₂²	1	2	yes	complemented
93	C₇×#467	C₂²	1	2	yes	complemented
94	C₇×#466	C₂²	1	2	yes	—
95	C₇×#465	C₂²	1	2	yes	—
96	C₇×#465	C₂²	1	2	yes	—
97	C₇×#465	C₂²	1	2	yes	—
98	C₇×#465	C₂²	1	2	yes	complemented
99	C₇×#464	C₂²	1	2	yes	—
100	C₇×#464	C₂²	1	2	yes	—
101	C₇×#464	C₂²	1	2	yes	—
102	C₇×#464	C₂²	1	2	yes	—
103	C₇×#464	C₂²	1	2	yes	—
104	C₇×#464	C₂²	1	2	yes	—
105	C₇×#464	C₂²	1	2	yes	complemented
106	C₇×#464	C₂²	1	2	yes	complemented
107	C₇×#463	C₂²	1	2	yes	—
108	C₇×#463	C₂²	1	2	yes	—
109	C₇×#463	C₂²	1	2	yes	—
110	C₇×#463	C₂²	1	2	yes	—
111	C₇×#462	C₂²	1	2	yes	complemented
112	C₇×#462	C₂²	1	2	yes	complemented
113	C₇×#461	C₂²	1	2	yes	—
114	C₇×#461	C₂²	1	2	yes	—
115	C₇×#428	C₂²	1	1	yes	characteristic
116	C₇×#428	C₂²	1	1	yes	characteristic
117	C₇×#427	C₂²	1	1	yes	characteristic
118	C₇×#427	C₂²	1	1	yes	characteristic
119	C₇×#424	C₂²	1	1	yes	characteristic
120	C₇×#424	C₂²	1	1	yes	characteristic
121	C₇×#424	C₂²	1	2	yes	complemented
122	C₇×#424	C₂²	1	2	yes	complemented
123	C₇×#423	C₂²	1	1	yes	characteristic
124	C₇×#423	C₂²	1	2	yes	complemented
125	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
126	C₂×C₇×C₄⋊C₈	C₂²	1	2	yes	complemented
127	C₇×#419	C₂²	1	1	yes	characteristic
128	C₇×#419	C₂²	1	1	yes	characteristic
129	C₇×#419	C₂²	1	1	yes	characteristic
130	C₇×#418	C₂²	1	1	yes	characteristic
131	C₇×#416	C₂²	1	1	yes	characteristic
132	C₇×#416	C₂²	1	1	yes	characteristic
133	C₂×C₇×#103	C₂²	1	1	yes	characteristic
134	C₂×C₇×#102	C₂²	1	1	yes	characteristic
135	#60927	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂×C₇×#41	C₂³	1	1	yes	characteristic
137	C₂×C₇×#41	C₂³	1	1	yes	characteristic
138	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
139	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
140	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
141	C₇×#137	—	4	2	no	—
142	C₇×AGL(1,ℤ/8)	—	4	2	no	—
143	C₂×C₇×Q₁₆	—	4	2	no	—
144	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
145	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₇×SD₁₆	—	4	2	no	—
148	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₇×D₈	C₂³	1	2	yes	—
153	C₇×#131	—	4	2	no	—
154	C₇×#131	—	4	2	no	—
155	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
156	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
157	C₂×C₇×M₁₆	C₂³	1	2	yes	—
158	C₂×C₇×M₁₆	C₂³	1	2	yes	—
159	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
160	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
161	C₂²×C₇×C₈	C₂³	1	2	yes	—
162	C₂²×C₇×C₈	C₂³	1	2	yes	—
163	C₇×C₄⋊Q₈	—	2	1	no	—
164	C₇×C₄⋊Q₈	—	2	1	no	—
165	C₇×C₄⋊Q₈	—	2	1	no	—
166	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
167	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
168	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₇×#127	—	2	1	no	—
171	C₇×#126	—	2	2	no	—
172	C₇×#126	—	2	2	no	—
173	C₇×#126	—	2	2	no	—
174	C₇×#126	—	2	2	no	—
175	C₇×#126	—	2	2	no	—
176	C₇×#126	—	2	2	no	—
177	C₇×#126	—	2	2	no	—
178	C₇×#126	—	2	2	no	—
179	C₇×#125	—	2	2	no	—
180	C₇×#125	—	2	1	no	—
181	C₇×#125	—	2	2	no	—
182	C₇×#125	—	2	2	no	—
183	C₇×#125	C₂³	1	2	yes	—
184	C₇×#125	C₂³	1	1	yes	characteristic
185	C₇×#125	C₂³	1	1	yes	characteristic
186	C₇×#124	—	2	1	no	—
187	C₇×#124	—	2	1	no	—
188	C₇×#124	—	2	1	no	—
189	C₇×#124	—	2	2	no	—
190	C₇×#124	—	2	2	no	—
191	C₇×#124	—	2	2	no	—
192	C₇×#124	—	2	1	no	—
193	C₇×#124	—	2	1	no	—
194	C₇×#124	C₂³	1	2	yes	—
195	C₇×#124	C₂³	1	2	yes	—
196	C₇×#124	C₂³	1	2	yes	—
197	C₇×#123	—	2	2	no	—
198	C₇×#123	—	2	2	no	—
199	C₇×#123	—	2	2	no	—
200	C₇×#123	—	2	2	no	—
201	C₇×#123	—	2	2	no	—
202	C₇×#123	—	2	2	no	—
203	C₇×#123	—	2	2	no	—
204	C₇×#123	—	2	2	no	—
205	C₇×#123	—	2	2	no	—
206	C₇×C₂²⋊Q₈	—	2	1	no	—
207	C₇×C₂²⋊Q₈	—	2	1	no	—
208	C₇×C₂²⋊Q₈	—	2	1	no	—
209	C₇×C₂²⋊Q₈	—	2	2	no	—
210	C₇×C₂²⋊Q₈	—	2	1	no	—
211	C₇×C₂²⋊Q₈	—	2	1	no	—
212	C₇×C₂²⋊Q₈	—	2	2	no	—
213	C₇×C₂²⋊Q₈	—	2	2	no	—
214	C₇×C₂²⋊Q₈	—	2	2	no	—
215	C₇×C₂²⋊Q₈	—	2	2	no	—
216	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
217	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
218	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
221	C₇×#121	—	2	2	no	—
222	C₇×#121	—	2	1	no	—
223	C₇×#121	C₂³	1	2	yes	—
224	C₇×#121	C₂³	1	2	yes	—
225	C₇×#121	C₂³	1	2	yes	—
226	C₇×#120	—	2	2	no	—
227	C₄×C₇×Q₈	—	2	1	no	—
228	C₄×C₇×Q₈	—	2	1	no	—
229	C₄×C₇×Q₈	—	2	1	no	—
230	C₄×C₇×Q₈	—	2	1	no	—
231	C₄×C₇×Q₈	—	2	2	no	—
232	C₄×C₇×Q₈	—	2	1	no	—
233	C₄×C₇×Q₈	—	2	1	no	—
234	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
235	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
236	C₄×C₇×Q₈	C₂³	1	2	yes	—
237	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
238	C₄×C₇×Q₈	C₂³	1	2	yes	—
239	C₄×C₇×Q₈	C₂³	1	2	yes	—
240	C₄×C₇×Q₈	C₂³	1	2	yes	—
241	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
242	C₄×C₇×D₄	—	2	1	no	—
243	C₄×C₇×D₄	—	2	1	no	—
244	C₄×C₇×D₄	—	2	2	no	—
245	C₄×C₇×D₄	—	2	2	no	—
246	C₄×C₇×D₄	—	2	2	no	—
247	C₄×C₇×D₄	—	2	1	no	—
248	C₄×C₇×D₄	—	2	1	no	—
249	C₄×C₇×D₄	D₄	1	2	yes	—
250	C₄×C₇×D₄	D₄	1	1	yes	characteristic
251	C₄×C₇×D₄	D₄	1	2	yes	—
252	C₄×C₇×D₄	D₄	1	1	yes	characteristic
253	C₄×C₇×D₄	C₂³	1	2	yes	—
254	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
255	C₄×C₇×D₄	C₂³	1	2	yes	—
256	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
257	C₇×#117	—	2	2	no	—
258	C₇×#117	—	2	2	no	—
259	C₇×#117	—	2	1	no	—
260	C₇×#117	—	2	2	no	—
261	C₇×#117	—	2	2	no	—
262	C₇×#117	—	2	2	no	—
263	C₇×#117	C₂³	1	1	yes	characteristic
264	C₇×#117	C₂³	1	1	yes	characteristic
265	C₇×#117	C₂³	1	1	yes	characteristic
266	C₇×#117	C₂³	1	1	yes	characteristic
267	C₇×#117	C₂³	1	2	yes	—
268	C₂×C₇×C₄⋊C₄	—	2	1	no	—
269	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
271	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
272	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
273	C₂×C₄²×C₇	—	2	1	no	—
274	C₂×C₄²×C₇	—	2	1	no	—
275	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
276	C₂×C₄²×C₇	C₂³	1	2	yes	—
277	C₇×#107	C₂³	1	2	yes	—
278	C₇×#107	C₂³	1	1	yes	characteristic
279	C₇×#107	C₂³	1	1	yes	characteristic
280	C₇×#107	C₂³	1	2	yes	—
281	C₇×#107	C₂³	1	1	yes	characteristic
282	C₇×#107	C₂³	1	1	yes	characteristic
283	C₇×#106	C₂³	1	2	yes	—
284	C₇×#106	C₂³	1	1	yes	characteristic
285	C₇×#106	C₂³	1	1	yes	characteristic
286	C₇×#106	C₂³	1	2	yes	—
287	C₇×#106	C₂³	1	1	yes	characteristic
288	C₇×#106	C₂³	1	1	yes	characteristic
289	C₇×C₄⋊C₈	C₂³	1	2	yes	—
290	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
291	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
292	C₇×C₄⋊C₈	C₂³	1	2	yes	—
293	C₇×C₄⋊C₈	C₂³	1	2	yes	—
294	C₇×C₄⋊C₈	C₂³	1	2	yes	—
295	C₇×C₄⋊C₈	C₂³	1	2	yes	—
296	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
297	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
298	C₇×C₄⋊C₈	C₂³	1	2	yes	—
299	C₇×#103	C₂³	1	1	yes	characteristic
300	C₇×#103	C₂³	1	2	yes	—
301	C₇×#103	C₂³	1	2	yes	—
302	C₇×#103	C₂³	1	2	yes	—
303	C₇×#103	C₂³	1	2	yes	—
304	C₇×#103	C₂³	1	2	yes	—
305	C₇×#103	C₂³	1	1	yes	characteristic
306	C₇×#103	C₂³	1	2	yes	—
307	C₇×#103	C₂³	1	2	yes	—
308	C₇×#103	C₂³	1	2	yes	—
309	C₇×#103	C₂³	1	1	yes	characteristic
310	C₇×#103	C₂³	1	1	yes	characteristic
311	C₇×#102	C₂³	1	1	yes	characteristic
312	C₇×#102	C₂³	1	2	yes	—
313	C₇×#102	C₂³	1	2	yes	—
314	C₇×#102	C₂³	1	2	yes	—
315	C₇×#102	C₂³	1	2	yes	—
316	C₇×#102	C₂³	1	1	yes	characteristic
317	C₇×#102	C₂³	1	1	yes	characteristic
318	C₇×#102	C₂³	1	1	yes	characteristic
319	#3510	C₂×C₇	1	1	yes	characteristic, complemented
320	#3461	C₂×C₇	1	1	yes	characteristic, complemented
321	#3263	C₂×C₇	1	2	yes	complemented
322	#3262	C₂×C₇	1	2	yes	complemented
323	#3258	C₂×C₇	1	2	yes	complemented
324	#3258	C₂×C₇	1	2	yes	complemented
325	#3256	C₂×C₇	1	2	yes	complemented
326	#3252	C₂×C₇	1	2	yes	complemented
327	#3250	C₂×C₇	1	2	yes	complemented
328	#3248	C₂×C₇	1	2	yes	complemented
329	#3082	C₂×C₇	1	1	yes	characteristic, complemented
330	#3081	C₂×C₇	1	1	yes	characteristic, complemented
331	#3078	C₂×C₇	1	1	yes	characteristic, complemented
332	#3076	C₂×C₇	1	1	yes	characteristic, complemented
333	#3063	C₂×C₇	1	1	yes	characteristic, complemented
334	#3062	C₂×C₇	1	1	yes	characteristic
335	#3059	C₂×C₇	1	1	yes	characteristic, complemented
336	#3057	C₂×C₇	1	1	yes	characteristic, complemented
337	#3044	C₂×C₇	1	1	yes	characteristic, complemented
338	#3042	C₂×C₇	1	1	yes	characteristic, complemented
339	#3040	C₂×C₇	1	1	yes	characteristic, complemented
340	C₂×#464	C₂×C₇	1	1	yes	characteristic, complemented
341	#2906	C₂×C₇	1	1	yes	characteristic, complemented
342	C₂⁴×C₇	—	2	1	no	—
343	C₇×#41	—	2	2	no	—
344	C₇×#41	—	2	2	no	—
345	C₇×#41	—	2	2	no	—
346	C₇×#41	—	2	2	no	—
347	C₂×C₇×Q₈	—	2	1	no	—
348	C₂×C₇×Q₈	—	2	1	no	—
349	C₂×C₇×Q₈	—	2	1	no	—
350	C₂×C₇×Q₈	—	2	1	no	—
351	C₂×C₇×Q₈	—	2	2	no	—
352	C₂×C₇×Q₈	—	2	2	no	—
353	C₂×C₇×Q₈	—	2	2	no	—
354	C₂×C₇×Q₈	—	2	2	no	—
355	C₂×C₇×Q₈	—	2	2	no	—
356	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
357	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
358	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
359	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
360	C₂×C₇×D₄	—	2	1	no	—
361	C₂×C₇×D₄	—	2	2	no	—
362	C₂×C₇×D₄	—	2	2	no	—
363	C₂×C₇×D₄	—	2	2	no	—
364	C₂×C₇×D₄	—	2	1	no	—
365	C₂×C₇×D₄	—	2	2	no	—
366	C₂×C₇×D₄	—	2	2	no	—
367	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
368	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
369	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
370	C₂×C₇×D₄	C₂⁴	1	2	yes	—
371	C₂²×C₄×C₇	—	2	1	no	—
372	C₂²×C₄×C₇	—	2	1	no	—
373	C₂²×C₄×C₇	—	2	1	no	—
374	C₂²×C₄×C₇	—	2	1	no	—
375	C₂²×C₄×C₇	—	2	1	no	—
376	C₂²×C₄×C₇	—	2	1	no	—
377	C₂²×C₄×C₇	—	2	2	no	—
378	C₂²×C₄×C₇	—	2	2	no	—
379	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
380	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
381	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
382	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
383	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
384	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
385	C₇×Q₁₆	—	4	2	no	—
386	C₇×Q₁₆	—	4	2	no	—
387	C₇×Q₁₆	—	4	2	no	—
388	C₇×SD₁₆	—	4	2	no	—
389	C₇×SD₁₆	—	4	2	no	—
390	C₇×SD₁₆	—	4	2	no	—
391	C₇×SD₁₆	—	4	2	no	—
392	C₇×D₈	—	4	2	no	—
393	C₇×M₁₆	—	2	2	no	—
394	C₇×M₁₆	—	2	2	no	—
395	C₇×M₁₆	—	4	2	no	—
396	C₇×M₁₆	—	4	2	no	—
397	C₂×C₇×C₈	—	2	2	no	—
398	C₂×C₇×C₈	—	2	2	no	—
399	C₂×C₇×C₈	—	4	2	no	—
400	C₂×C₇×C₈	—	4	2	no	—
401	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
402	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
403	C₂×C₇×C₈	C₂⁴	1	2	yes	—
404	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
405	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
406	C₂×C₇×C₈	C₂⁴	1	2	yes	—
407	C₇×C₄⋊C₄	—	2	2	no	—
408	C₇×C₄⋊C₄	—	2	2	no	—
409	C₇×C₄⋊C₄	—	2	1	no	—
410	C₇×C₄⋊C₄	—	2	1	no	—
411	C₇×C₄⋊C₄	—	2	1	no	—
412	C₇×C₄⋊C₄	—	2	1	no	—
413	C₇×C₄⋊C₄	—	2	1	no	—
414	C₇×C₄⋊C₄	—	2	2	no	—
415	C₇×C₄⋊C₄	—	2	2	no	—
416	C₇×C₄⋊C₄	—	2	2	no	—
417	C₇×C₄⋊C₄	—	2	2	no	—
418	C₇×C₄⋊C₄	—	2	2	no	—
419	C₇×C₄⋊C₄	—	2	2	no	—
420	C₇×C₄⋊C₄	—	2	2	no	—
421	C₇×C₄⋊C₄	—	2	2	no	—
422	C₇×C₄⋊C₄	—	2	1	no	—
423	C₇×C₄⋊C₄	—	2	1	no	—
424	C₇×C₄⋊C₄	—	2	2	no	—
425	C₇×C₄⋊C₄	—	2	2	no	—
426	C₇×C₄⋊C₄	—	2	2	no	—
427	C₇×C₄⋊C₄	—	2	2	no	—
428	C₇×C₄⋊C₄	—	2	1	no	—
429	C₇×C₄⋊C₄	—	2	1	no	—
430	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
431	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
432	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
433	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
434	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
435	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
436	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
437	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
438	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
439	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
440	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
441	C₇×C₂²⋊C₄	—	2	1	no	—
442	C₇×C₂²⋊C₄	—	2	1	no	—
443	C₇×C₂²⋊C₄	—	2	2	no	—
444	C₇×C₂²⋊C₄	—	2	2	no	—
445	C₇×C₂²⋊C₄	—	2	1	no	—
446	C₇×C₂²⋊C₄	—	2	2	no	—
447	C₇×C₂²⋊C₄	—	2	2	no	—
448	C₇×C₂²⋊C₄	—	2	2	no	—
449	C₇×C₂²⋊C₄	—	2	2	no	—
450	C₇×C₂²⋊C₄	—	2	2	no	—
451	C₇×C₂²⋊C₄	—	2	2	no	—
452	C₇×C₂²⋊C₄	—	2	2	no	—
453	C₇×C₂²⋊C₄	—	2	2	no	—
454	C₇×C₂²⋊C₄	—	2	2	no	—
455	C₇×C₂²⋊C₄	—	2	1	no	—
456	C₇×C₂²⋊C₄	—	2	1	no	—
457	C₇×C₂²⋊C₄	—	2	2	no	—
458	C₇×C₂²⋊C₄	—	2	2	no	—
459	C₇×C₂²⋊C₄	—	2	2	no	—
460	C₇×C₂²⋊C₄	—	2	2	no	—
461	C₇×C₂²⋊C₄	—	2	2	no	—
462	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
463	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
464	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
465	C₄²×C₇	—	2	2	no	—
466	C₄²×C₇	—	2	1	no	—
467	C₄²×C₇	—	2	1	no	—
468	C₄²×C₇	—	2	1	no	—
469	C₄²×C₇	—	2	2	no	—
470	C₄²×C₇	—	2	2	no	—
471	C₄²×C₇	—	2	2	no	—
472	C₄²×C₇	—	2	1	no	—
473	C₄²×C₇	—	2	1	no	—
474	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
475	C₄²×C₇	C₂×D₄	1	2	yes	—
476	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
477	C₄²×C₇	C₂×D₄	1	2	yes	—
478	C₄²×C₇	C₂⁴	1	1	yes	characteristic
479	C₄²×C₇	C₂⁴	1	2	yes	—
480	C₄²×C₇	C₂⁴	1	1	yes	characteristic
481	C₂×#137	C₂²×C₇	1	1	yes	characteristic
482	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
483	C₂²×Q₁₆	C₂²×C₇	1	1	yes	characteristic
484	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
485	C₂×#131	C₂²×C₇	1	1	yes	characteristic
486	C₂×#131	C₂²×C₇	1	1	yes	characteristic
487	#559	—	2	1	no	—
488	#559	—	2	1	no	—
489	#556	—	2	1	no	—
490	#556	—	2	1	no	—
491	#551	—	2	2	no	—
492	#551	—	2	2	no	—
493	#544	C₂²×C₇	1	1	yes	characteristic
494	#542	—	2	1	no	—
495	#542	C₂²×C₇	1	2	yes	—
496	#542	C₂²×C₇	1	2	yes	—
497	#542	C₂²×C₇	1	2	yes	complemented
498	#541	—	2	1	no	—
499	#541	C₂²×C₇	1	2	yes	complemented
500	#539	—	2	2	no	—
501	#537	C₂²×C₇	1	1	yes	characteristic
502	#536	C₂²×C₇	1	1	yes	characteristic
503	#536	C₂²×C₇	1	1	yes	characteristic
504	#536	C₂²×C₇	1	1	yes	characteristic
505	#535	C₂²×C₇	1	1	yes	characteristic
506	#533	—	2	1	no	—
507	#533	C₂²×C₇	1	1	yes	characteristic
508	#533	C₂²×C₇	1	2	yes	complemented
509	#529	—	2	2	no	—
510	#529	—	2	1	no	—
511	#529	C₂²×C₇	1	2	yes	—
512	#529	C₂²×C₇	1	2	yes	—
513	#529	C₂²×C₇	1	2	yes	complemented
514	C₂×#124	C₂²×C₇	1	1	yes	characteristic
515	#519	C₂²×C₇	1	1	yes	characteristic
516	#518	C₂²×C₇	1	1	yes	characteristic
517	C₄×#41	C₂²×C₇	1	1	yes	characteristic
518	C₄×#41	C₂²×C₇	1	1	yes	characteristic
519	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
520	#479	C₂²×C₇	1	1	yes	characteristic, complemented
521	#479	C₂²×C₇	1	1	yes	characteristic, complemented
522	#479	C₂²×C₇	1	2	yes	complemented
523	#479	C₂²×C₇	1	2	yes	complemented
524	#479	C₂²×C₇	1	2	yes	complemented
525	#479	C₂²×C₇	1	2	yes	complemented
526	#478	C₂²×C₇	1	2	yes	—
527	#478	C₂²×C₇	1	2	yes	—
528	#478	C₂²×C₇	1	1	yes	characteristic, complemented
529	#478	C₂²×C₇	1	1	yes	characteristic, complemented
530	#477	C₂²×C₇	1	1	yes	characteristic, complemented
531	#477	C₂²×C₇	1	2	yes	complemented
532	#477	C₂²×C₇	1	2	yes	complemented
533	#476	C₂²×C₇	1	2	yes	—
534	#476	C₂²×C₇	1	1	yes	characteristic, complemented
535	#475	C₂²×C₇	1	1	yes	characteristic, complemented
536	#475	C₂²×C₇	1	2	yes	complemented
537	#475	C₂²×C₇	1	2	yes	complemented
538	#474	C₂²×C₇	1	2	yes	—
539	#474	C₂²×C₇	1	1	yes	characteristic, complemented
540	#470	C₂²×C₇	1	2	yes	complemented
541	#470	C₂²×C₇	1	2	yes	complemented
542	#470	C₂²×C₇	1	2	yes	complemented
543	#469	C₂²×C₇	1	2	yes	—
544	#468	C₂²×C₇	1	2	yes	—
545	#468	C₂²×C₇	1	2	yes	—
546	#468	C₂²×C₇	1	2	yes	—
547	#468	C₂²×C₇	1	2	yes	complemented
548	#467	C₂²×C₇	1	2	yes	complemented
549	#467	C₂²×C₇	1	2	yes	complemented
550	#467	C₂²×C₇	1	2	yes	complemented
551	#466	C₂²×C₇	1	2	yes	—
552	#465	C₂²×C₇	1	2	yes	—
553	#465	C₂²×C₇	1	2	yes	—
554	#465	C₂²×C₇	1	2	yes	—
555	#465	C₂²×C₇	1	2	yes	complemented
556	#464	C₂²×C₇	1	2	yes	—
557	#464	C₂²×C₇	1	2	yes	—
558	#464	C₂²×C₇	1	2	yes	—
559	#464	C₂²×C₇	1	2	yes	—
560	#464	C₂²×C₇	1	2	yes	—
561	#464	C₂²×C₇	1	2	yes	—
562	#464	C₂²×C₇	1	2	yes	complemented
563	#464	C₂²×C₇	1	2	yes	complemented
564	#463	C₂²×C₇	1	2	yes	—
565	#463	C₂²×C₇	1	2	yes	—
566	#463	C₂²×C₇	1	2	yes	—
567	#463	C₂²×C₇	1	2	yes	—
568	#462	C₂²×C₇	1	2	yes	complemented
569	#462	C₂²×C₇	1	2	yes	complemented
570	#461	C₂²×C₇	1	2	yes	—
571	#461	C₂²×C₇	1	2	yes	—
572	#428	C₂²×C₇	1	1	yes	characteristic
573	#428	C₂²×C₇	1	1	yes	characteristic
574	#427	C₂²×C₇	1	1	yes	characteristic
575	#427	C₂²×C₇	1	1	yes	characteristic
576	#424	C₂²×C₇	1	1	yes	characteristic
577	#424	C₂²×C₇	1	1	yes	characteristic
578	#424	C₂²×C₇	1	2	yes	complemented
579	#424	C₂²×C₇	1	2	yes	complemented
580	#423	C₂²×C₇	1	1	yes	characteristic
581	#423	C₂²×C₇	1	2	yes	complemented
582	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic
583	C₂×C₄⋊C₈	C₂²×C₇	1	2	yes	complemented
584	#419	C₂²×C₇	1	1	yes	characteristic
585	#419	C₂²×C₇	1	1	yes	characteristic
586	#419	C₂²×C₇	1	1	yes	characteristic
587	#418	C₂²×C₇	1	1	yes	characteristic
588	#416	C₂²×C₇	1	1	yes	characteristic
589	#416	C₂²×C₇	1	1	yes	characteristic
590	C₂×#103	C₂²×C₇	1	1	yes	characteristic
591	C₂×#102	C₂²×C₇	1	1	yes	characteristic
592	C₂³×C₇	—	2	1	no	—
593	C₂³×C₇	—	2	2	no	—
594	C₂³×C₇	—	4	2	no	—
595	C₂³×C₇	—	8	1	no	—
596	C₂³×C₇	—	8	1	no	—
597	C₂³×C₇	C₂²×D₄	1	2	yes	—
598	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
599	C₇×Q₈	—	2	2	no	—
600	C₇×Q₈	—	2	2	no	—
601	C₇×Q₈	—	2	1	no	—
602	C₇×Q₈	—	2	2	no	—
603	C₇×Q₈	—	2	2	no	—
604	C₇×Q₈	—	2	2	no	—
605	C₇×Q₈	—	2	1	no	—
606	C₇×Q₈	—	4	2	no	—
607	C₇×Q₈	—	4	2	no	—
608	C₇×Q₈	—	8	1	no	—
609	C₇×Q₈	—	8	2	no	—
610	C₇×Q₈	—	8	1	no	—
611	C₇×D₄	—	2	4	no	—
612	C₇×D₄	—	2	2	no	—
613	C₇×D₄	—	2	1	no	—
614	C₇×D₄	—	2	2	no	—
615	C₇×D₄	—	2	2	no	—
616	C₇×D₄	—	2	1	no	—
617	C₇×D₄	—	4	2	no	—
618	C₇×D₄	—	4	2	no	—
619	C₇×D₄	—	8	2	no	—
620	C₇×D₄	—	8	2	no	—
621	C₇×D₄	—	8	2	no	—
622	C₂×C₄×C₇	—	2	2	no	—
623	C₂×C₄×C₇	—	2	2	no	—
624	C₂×C₄×C₇	—	2	1	no	—
625	C₂×C₄×C₇	—	2	1	no	—
626	C₂×C₄×C₇	—	2	2	no	—
627	C₂×C₄×C₇	—	2	1	no	—
628	C₂×C₄×C₇	—	2	2	no	—
629	C₂×C₄×C₇	—	2	1	no	—
630	C₂×C₄×C₇	—	2	1	no	—
631	C₂×C₄×C₇	—	2	2	no	—
632	C₂×C₄×C₇	—	2	1	no	—
633	C₂×C₄×C₇	—	2	1	no	—
634	C₂×C₄×C₇	—	4	1	no	—
635	C₂×C₄×C₇	—	4	2	no	—
636	C₂×C₄×C₇	—	4	2	no	—
637	C₂×C₄×C₇	—	4	1	no	—
638	C₂×C₄×C₇	—	4	2	no	—
639	C₂×C₄×C₇	—	4	2	no	—
640	C₂×C₄×C₇	—	4	2	no	—
641	C₂×C₄×C₇	—	4	2	no	—
642	C₂×C₄×C₇	—	8	2	no	—
643	C₂×C₄×C₇	—	8	1	no	—
644	C₂×C₄×C₇	—	8	2	no	—
645	C₂×C₄×C₇	—	8	1	no	—
646	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
647	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
648	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
649	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
650	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
651	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
652	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
653	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
654	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
655	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
656	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
657	C₇×C₈	—	2	1	no	—
658	C₇×C₈	—	2	1	no	—
659	C₇×C₈	—	2	1	no	—
660	C₇×C₈	—	2	1	no	—
661	C₇×C₈	—	2	2	no	—
662	C₇×C₈	—	2	2	no	—
663	C₂×#41	C₂³×C₇	1	1	yes	characteristic
664	C₂×#41	C₂³×C₇	1	1	yes	characteristic
665	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
666	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
667	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
668	#137	—	4	2	no	—
669	AGL(1,ℤ/8)	—	4	2	no	—
670	C₂×Q₁₆	—	4	2	no	—
671	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
672	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
673	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
674	C₂×SD₁₆	—	4	2	no	—
675	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
676	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
677	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
678	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
679	C₂×D₈	C₂³×C₇	1	2	yes	—
680	#131	—	4	2	no	—
681	#131	—	4	2	no	—
682	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
683	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
684	C₂×M₁₆	C₂³×C₇	1	2	yes	—
685	C₂×M₁₆	C₂³×C₇	1	2	yes	—
686	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
687	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
688	C₂²×C₈	C₂³×C₇	1	2	yes	—
689	C₂²×C₈	C₂³×C₇	1	2	yes	—
690	C₄⋊Q₈	—	2	1	no	—
691	C₄⋊Q₈	—	2	1	no	—
692	C₄⋊Q₈	—	2	1	no	—
693	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
694	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
695	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
696	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
697	#127	—	2	1	no	—
698	#126	—	2	2	no	—
699	#126	—	2	2	no	—
700	#126	—	2	2	no	—
701	#126	—	2	2	no	—
702	#126	—	2	2	no	—
703	#126	—	2	2	no	—
704	#126	—	2	2	no	—
705	#126	—	2	2	no	—
706	#125	—	2	2	no	—
707	#125	—	2	1	no	—
708	#125	—	2	2	no	—
709	#125	—	2	2	no	—
710	#125	C₂³×C₇	1	1	yes	characteristic
711	#125	C₂³×C₇	1	1	yes	characteristic
712	#125	C₂³×C₇	1	2	yes	—
713	#124	—	2	1	no	—
714	#124	—	2	1	no	—
715	#124	—	2	1	no	—
716	#124	—	2	2	no	—
717	#124	—	2	2	no	—
718	#124	—	2	2	no	—
719	#124	—	2	1	no	—
720	#124	—	2	1	no	—
721	#124	C₂³×C₇	1	2	yes	—
722	#124	C₂³×C₇	1	2	yes	—
723	#124	C₂³×C₇	1	2	yes	—
724	#123	—	2	2	no	—
725	#123	—	2	2	no	—
726	#123	—	2	2	no	—
727	#123	—	2	2	no	—
728	#123	—	2	2	no	—
729	#123	—	2	2	no	—
730	#123	—	2	2	no	—
731	#123	—	2	2	no	—
732	#123	—	2	2	no	—
733	C₂²⋊Q₈	—	2	1	no	—
734	C₂²⋊Q₈	—	2	1	no	—
735	C₂²⋊Q₈	—	2	1	no	—
736	C₂²⋊Q₈	—	2	2	no	—
737	C₂²⋊Q₈	—	2	1	no	—
738	C₂²⋊Q₈	—	2	1	no	—
739	C₂²⋊Q₈	—	2	2	no	—
740	C₂²⋊Q₈	—	2	2	no	—
741	C₂²⋊Q₈	—	2	2	no	—
742	C₂²⋊Q₈	—	2	2	no	—
743	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
744	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
745	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
746	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
747	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
748	#121	—	2	2	no	—
749	#121	—	2	1	no	—
750	#121	C₂³×C₇	1	2	yes	—
751	#121	C₂³×C₇	1	2	yes	—
752	#121	C₂³×C₇	1	2	yes	—
753	#120	—	2	2	no	—
754	C₄×Q₈	—	2	1	no	—
755	C₄×Q₈	—	2	1	no	—
756	C₄×Q₈	—	2	1	no	—
757	C₄×Q₈	—	2	1	no	—
758	C₄×Q₈	—	2	2	no	—
759	C₄×Q₈	—	2	1	no	—
760	C₄×Q₈	—	2	1	no	—
761	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
762	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
763	C₄×Q₈	C₂³×C₇	1	2	yes	—
764	C₄×Q₈	C₂³×C₇	1	2	yes	—
765	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
766	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
767	C₄×Q₈	C₂³×C₇	1	2	yes	—
768	C₄×Q₈	C₂³×C₇	1	2	yes	—
769	C₄×D₄	—	2	1	no	—
770	C₄×D₄	—	2	1	no	—
771	C₄×D₄	—	2	2	no	—
772	C₄×D₄	—	2	2	no	—
773	C₄×D₄	—	2	2	no	—
774	C₄×D₄	—	2	1	no	—
775	C₄×D₄	—	2	1	no	—
776	C₄×D₄	C₇×D₄	1	2	yes	—
777	C₄×D₄	C₇×D₄	1	1	yes	characteristic
778	C₄×D₄	C₇×D₄	1	2	yes	—
779	C₄×D₄	C₇×D₄	1	1	yes	characteristic
780	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
781	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
782	C₄×D₄	C₂³×C₇	1	2	yes	—
783	C₄×D₄	C₂³×C₇	1	2	yes	—
784	#117	—	2	2	no	—
785	#117	—	2	2	no	—
786	#117	—	2	1	no	—
787	#117	—	2	2	no	—
788	#117	—	2	2	no	—
789	#117	—	2	2	no	—
790	#117	C₂³×C₇	1	1	yes	characteristic
791	#117	C₂³×C₇	1	1	yes	characteristic
792	#117	C₂³×C₇	1	1	yes	characteristic
793	#117	C₂³×C₇	1	1	yes	characteristic
794	#117	C₂³×C₇	1	2	yes	—
795	C₂×C₄⋊C₄	—	2	1	no	—
796	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
797	C₂×C₂²⋊C₄	—	2	1	no	—
798	C₂×C₂²⋊C₄	—	2	1	no	—
799	C₂×C₂²⋊C₄	—	2	2	no	—
800	C₂×C₄²	—	2	1	no	—
801	C₂×C₄²	—	2	1	no	—
802	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
803	C₂×C₄²	C₂³×C₇	1	2	yes	—
804	#107	C₂³×C₇	1	1	yes	characteristic
805	#107	C₂³×C₇	1	1	yes	characteristic
806	#107	C₂³×C₇	1	1	yes	characteristic
807	#107	C₂³×C₇	1	1	yes	characteristic
808	#107	C₂³×C₇	1	2	yes	—
809	#107	C₂³×C₇	1	2	yes	—
810	#106	C₂³×C₇	1	1	yes	characteristic
811	#106	C₂³×C₇	1	1	yes	characteristic
812	#106	C₂³×C₇	1	1	yes	characteristic
813	#106	C₂³×C₇	1	1	yes	characteristic
814	#106	C₂³×C₇	1	2	yes	—
815	#106	C₂³×C₇	1	2	yes	—
816	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
817	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
818	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
819	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
820	C₄⋊C₈	C₂³×C₇	1	2	yes	—
821	C₄⋊C₈	C₂³×C₇	1	2	yes	—
822	C₄⋊C₈	C₂³×C₇	1	2	yes	—
823	C₄⋊C₈	C₂³×C₇	1	2	yes	—
824	C₄⋊C₈	C₂³×C₇	1	2	yes	—
825	C₄⋊C₈	C₂³×C₇	1	2	yes	—
826	#103	C₂³×C₇	1	2	yes	—
827	#103	C₂³×C₇	1	2	yes	—
828	#103	C₂³×C₇	1	1	yes	characteristic
829	#103	C₂³×C₇	1	1	yes	characteristic
830	#103	C₂³×C₇	1	1	yes	characteristic
831	#103	C₂³×C₇	1	1	yes	characteristic
832	#103	C₂³×C₇	1	2	yes	—
833	#103	C₂³×C₇	1	2	yes	—
834	#103	C₂³×C₇	1	2	yes	—
835	#103	C₂³×C₇	1	2	yes	—
836	#103	C₂³×C₇	1	2	yes	—
837	#103	C₂³×C₇	1	2	yes	—
838	#102	C₂³×C₇	1	2	yes	—
839	#102	C₂³×C₇	1	2	yes	—
840	#102	C₂³×C₇	1	1	yes	characteristic
841	#102	C₂³×C₇	1	1	yes	characteristic
842	#102	C₂³×C₇	1	1	yes	characteristic
843	#102	C₂³×C₇	1	1	yes	characteristic
844	#102	C₂³×C₇	1	2	yes	—
845	#102	C₂³×C₇	1	2	yes	—
846	C₂²×C₇	—	2	1	no	—
847	C₂²×C₇	—	2	1	no	—
848	C₂²×C₇	—	2	2	no	—
849	C₂²×C₇	—	2	2	no	—
850	C₂²×C₇	—	2	2	no	—
851	C₂²×C₇	—	4	1	no	—
852	C₂²×C₇	—	4	2	no	—
853	C₂²×C₇	—	4	1	no	—
854	C₂²×C₇	—	4	2	no	—
855	C₂²×C₇	—	4	1	no	—
856	C₂²×C₇	—	4	2	no	—
857	C₂²×C₇	—	16	2	no	—
858	C₂²×C₇	#537	1	2	yes	—
859	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
860	C₄×C₇	—	2	1	no	—
861	C₄×C₇	—	2	1	no	—
862	C₄×C₇	—	2	2	no	—
863	C₄×C₇	—	2	1	no	—
864	C₄×C₇	—	2	2	no	—
865	C₄×C₇	—	2	1	no	—
866	C₄×C₇	—	2	2	no	—
867	C₄×C₇	—	4	1	no	—
868	C₄×C₇	—	4	2	no	—
869	C₄×C₇	—	4	1	no	—
870	C₄×C₇	—	4	1	no	—
871	C₄×C₇	—	4	1	no	—
872	C₄×C₇	—	4	1	no	—
873	C₄×C₇	—	4	1	no	—
874	C₄×C₇	—	4	1	no	—
875	C₄×C₇	—	4	2	no	—
876	C₄×C₇	—	4	2	no	—
877	C₄×C₇	#537	1	2	yes	—
878	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
879	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
880	C₂⁴	—	2	1	no	—
881	#41	—	2	2	no	—
882	#41	—	2	2	no	—
883	#41	—	2	2	no	—
884	#41	—	2	2	no	—
885	C₂×Q₈	—	2	1	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	1	no	—
888	C₂×Q₈	—	2	1	no	—
889	C₂×Q₈	—	2	2	no	—
890	C₂×Q₈	—	2	2	no	—
891	C₂×Q₈	—	2	2	no	—
892	C₂×Q₈	—	2	2	no	—
893	C₂×Q₈	—	2	2	no	—
894	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
895	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
896	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
897	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
898	C₂×D₄	—	2	1	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	2	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	1	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
906	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
907	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
908	C₂×D₄	C₂⁴×C₇	1	2	yes	—
909	C₂²×C₄	—	2	1	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	1	no	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
918	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
919	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
920	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
921	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
922	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
923	Q₁₆	—	4	2	no	—
924	Q₁₆	—	4	2	no	—
925	Q₁₆	—	4	2	no	—
926	SD₁₆	—	4	2	no	—
927	SD₁₆	—	4	2	no	—
928	SD₁₆	—	4	2	no	—
929	SD₁₆	—	4	2	no	—
930	D₈	—	4	2	no	—
931	M₁₆	—	2	2	no	—
932	M₁₆	—	2	2	no	—
933	M₁₆	—	4	2	no	—
934	M₁₆	—	4	2	no	—
935	C₂×C₈	—	2	2	no	—
936	C₂×C₈	—	2	2	no	—
937	C₂×C₈	—	4	2	no	—
938	C₂×C₈	—	4	2	no	—
939	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
940	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
941	C₂×C₈	C₂⁴×C₇	1	2	yes	—
942	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
943	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
944	C₂×C₈	C₂⁴×C₇	1	2	yes	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	1	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
969	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
970	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
971	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
972	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
973	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
974	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
975	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
976	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
977	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
978	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	—	2	1	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	1	no	—
994	C₂²⋊C₄	—	2	1	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1001	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1002	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1003	C₄²	—	2	2	no	—
1004	C₄²	—	2	1	no	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	1	no	—
1007	C₄²	—	2	2	no	—
1008	C₄²	—	2	2	no	—
1009	C₄²	—	2	2	no	—
1010	C₄²	—	2	1	no	—
1011	C₄²	—	2	1	no	—
1012	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1013	C₄²	C₂×C₇×D₄	1	2	yes	—
1014	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1015	C₄²	C₂×C₇×D₄	1	2	yes	—
1016	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1017	C₄²	C₂⁴×C₇	1	2	yes	—
1018	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1019	C₂×C₇	—	2	2	no	—
1020	C₂×C₇	—	4	2	no	—
1021	C₂×C₇	—	8	1	no	—
1022	C₂×C₇	—	8	2	no	—
1023	C₂×C₇	C₂×#537	1	1	yes	characteristic
1024	C₂×C₇	#3584	1	1	yes	characteristic
1025	C₂×C₇	#3586	1	1	yes	characteristic
1026	C₂³	—	2	1	no	—
1027	C₂³	—	2	2	no	—
1028	C₂³	—	4	2	no	—
1029	C₂³	—	8	1	no	—
1030	C₂³	—	8	1	no	—
1031	C₂³	C₂²×C₇×D₄	1	2	yes	—
1032	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1033	Q₈	—	2	2	no	—
1034	Q₈	—	2	2	no	—
1035	Q₈	—	2	1	no	—
1036	Q₈	—	2	2	no	—
1037	Q₈	—	2	2	no	—
1038	Q₈	—	2	2	no	—
1039	Q₈	—	2	1	no	—
1040	Q₈	—	4	2	no	—
1041	Q₈	—	4	2	no	—
1042	Q₈	—	8	1	no	—
1043	Q₈	—	8	2	no	—
1044	Q₈	—	8	1	no	—
1045	D₄	—	2	4	no	—
1046	D₄	—	2	1	no	—
1047	D₄	—	2	2	no	—
1048	D₄	—	2	2	no	—
1049	D₄	—	2	1	no	—
1050	D₄	—	2	2	no	—
1051	D₄	—	4	2	no	—
1052	D₄	—	4	2	no	—
1053	D₄	—	8	2	no	—
1054	D₄	—	8	2	no	—
1055	D₄	—	8	2	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	4	1	no	—
1069	C₂×C₄	—	4	2	no	—
1070	C₂×C₄	—	4	2	no	—
1071	C₂×C₄	—	4	1	no	—
1072	C₂×C₄	—	4	2	no	—
1073	C₂×C₄	—	4	2	no	—
1074	C₂×C₄	—	4	2	no	—
1075	C₂×C₄	—	4	2	no	—
1076	C₂×C₄	—	8	2	no	—
1077	C₂×C₄	—	8	1	no	—
1078	C₂×C₄	—	8	2	no	—
1079	C₂×C₄	—	8	1	no	—
1080	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1081	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1082	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1083	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1084	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1085	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1086	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1087	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1088	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
1089	C₂×C₄	C₇×2₋¹⁺⁴	1	2	yes	—
1090	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1091	C₈	—	2	1	no	—
1092	C₈	—	2	1	no	—
1093	C₈	—	2	1	no	—
1094	C₈	—	2	1	no	—
1095	C₈	—	2	2	no	—
1096	C₈	—	2	2	no	—
1097	C₇	#60927	1	1	yes	characteristic, direct product factor, Sylow
1098	C₂²	—	2	1	no	—
1099	C₂²	—	2	1	no	—
1100	C₂²	—	2	2	no	—
1101	C₂²	—	2	2	no	—
1102	C₂²	—	2	2	no	—
1103	C₂²	—	4	1	no	—
1104	C₂²	—	4	2	no	—
1105	C₂²	—	4	1	no	—
1106	C₂²	—	4	2	no	—
1107	C₂²	—	4	1	no	—
1108	C₂²	—	4	2	no	—
1109	C₂²	—	16	2	no	—
1110	C₂²	C₇×#537	1	2	yes	—
1111	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1112	C₄	—	2	1	no	—
1113	C₄	—	2	1	no	—
1114	C₄	—	2	2	no	—
1115	C₄	—	2	1	no	—
1116	C₄	—	2	2	no	—
1117	C₄	—	2	1	no	—
1118	C₄	—	2	2	no	—
1119	C₄	—	4	1	no	—
1120	C₄	—	4	2	no	—
1121	C₄	—	4	1	no	—
1122	C₄	—	4	1	no	—
1123	C₄	—	4	1	no	—
1124	C₄	—	4	1	no	—
1125	C₄	—	4	1	no	—
1126	C₄	—	4	1	no	—
1127	C₄	—	4	2	no	—
1128	C₄	—	4	2	no	—
1129	C₄	C₇×#537	1	2	yes	—
1130	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1131	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1132	C₂	—	2	2	no	—
1133	C₂	—	4	2	no	—
1134	C₂	—	8	2	no	—
1135	C₂	—	8	1	no	—
1136	C₂	C₂×C₇×#537	1	1	yes	characteristic
1137	C₂	C₇×#3584	1	1	yes	characteristic
1138	C₂	C₇×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
prime radical	C₇×#3062	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₄×C₇×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3510	C₂	semidirect
2. C₇×#3461	C₂	semidirect
3. C₇×#3263	C₂	semidirect
4. C₇×#3262	C₂	semidirect
5. C₇×#3258	C₂	semidirect
6. C₇×#3258	C₂	semidirect
7. C₇×#3256	C₂	semidirect
8. C₇×#3252	C₂	semidirect
9. C₇×#3250	C₂	semidirect
10. C₇×#3248	C₂	semidirect
11. C₇×#3082	C₂	semidirect
12. C₇×#3081	C₂	semidirect
13. C₇×#3078	C₂	semidirect
14. C₇×#3076	C₂	semidirect
15. C₇×#3063	C₂	semidirect
17. C₇×#3059	C₂	semidirect
18. C₇×#3057	C₂	semidirect
19. C₇×#3044	C₂	semidirect
20. C₇×#3042	C₂	semidirect
21. C₇×#3040	C₂	semidirect
22. C₂×C₇×#464	C₂	semidirect
23. C₇×#2906	C₂	semidirect
40. C₇×#542	C₂²	semidirect
42. C₇×#541	C₂²	semidirect
51. C₇×#533	C₂²	semidirect
56. C₇×#529	C₂²	semidirect
63. C₇×#479	C₂²	semidirect
64. C₇×#479	C₂²	semidirect
65. C₇×#479	C₂²	semidirect
66. C₇×#479	C₂²	semidirect
67. C₇×#479	C₂²	semidirect
68. C₇×#479	C₂²	semidirect
71. C₇×#478	C₂²	semidirect
72. C₇×#478	C₂²	semidirect
73. C₇×#477	C₂²	semidirect
74. C₇×#477	C₂²	semidirect
75. C₇×#477	C₂²	semidirect
77. C₇×#476	C₂²	semidirect
78. C₇×#475	C₂²	semidirect
79. C₇×#475	C₂²	semidirect
80. C₇×#475	C₂²	semidirect
82. C₇×#474	C₂²	semidirect
83. C₇×#470	C₂²	semidirect
84. C₇×#470	C₂²	semidirect
85. C₇×#470	C₂²	semidirect
90. C₇×#468	C₂²	semidirect
91. C₇×#467	C₂²	semidirect
92. C₇×#467	C₂²	semidirect
93. C₇×#467	C₂²	semidirect
98. C₇×#465	C₂²	semidirect
105. C₇×#464	C₂²	semidirect
106. C₇×#464	C₂²	semidirect
111. C₇×#462	C₂²	semidirect
112. C₇×#462	C₂²	semidirect
121. C₇×#424	C₂²	semidirect
122. C₇×#424	C₂²	semidirect
124. C₇×#423	C₂²	semidirect
126. C₂×C₇×C₄⋊C₈	C₂²	semidirect
135. #60927	C₇	direct (N × H)
319. #3510	C₂×C₇	semidirect
320. #3461	C₂×C₇	semidirect
321. #3263	C₂×C₇	semidirect
322. #3262	C₂×C₇	semidirect
323. #3258	C₂×C₇	semidirect
324. #3258	C₂×C₇	semidirect
325. #3256	C₂×C₇	semidirect
326. #3252	C₂×C₇	semidirect
327. #3250	C₂×C₇	semidirect
328. #3248	C₂×C₇	semidirect
329. #3082	C₂×C₇	semidirect
330. #3081	C₂×C₇	semidirect
331. #3078	C₂×C₇	semidirect
332. #3076	C₂×C₇	semidirect
333. #3063	C₂×C₇	semidirect
335. #3059	C₂×C₇	semidirect
336. #3057	C₂×C₇	semidirect
337. #3044	C₂×C₇	semidirect
338. #3042	C₂×C₇	semidirect
339. #3040	C₂×C₇	semidirect
340. C₂×#464	C₂×C₇	semidirect
341. #2906	C₂×C₇	semidirect
497. #542	C₂²×C₇	semidirect
499. #541	C₂²×C₇	semidirect
508. #533	C₂²×C₇	semidirect
513. #529	C₂²×C₇	semidirect
520. #479	C₂²×C₇	semidirect
521. #479	C₂²×C₇	semidirect
522. #479	C₂²×C₇	semidirect
523. #479	C₂²×C₇	semidirect
524. #479	C₂²×C₇	semidirect
525. #479	C₂²×C₇	semidirect
528. #478	C₂²×C₇	semidirect
529. #478	C₂²×C₇	semidirect
530. #477	C₂²×C₇	semidirect
531. #477	C₂²×C₇	semidirect
532. #477	C₂²×C₇	semidirect
534. #476	C₂²×C₇	semidirect
535. #475	C₂²×C₇	semidirect
536. #475	C₂²×C₇	semidirect
537. #475	C₂²×C₇	semidirect
539. #474	C₂²×C₇	semidirect
540. #470	C₂²×C₇	semidirect
541. #470	C₂²×C₇	semidirect
542. #470	C₂²×C₇	semidirect
547. #468	C₂²×C₇	semidirect
548. #467	C₂²×C₇	semidirect
549. #467	C₂²×C₇	semidirect
550. #467	C₂²×C₇	semidirect
555. #465	C₂²×C₇	semidirect
562. #464	C₂²×C₇	semidirect
563. #464	C₂²×C₇	semidirect
568. #462	C₂²×C₇	semidirect
569. #462	C₂²×C₇	semidirect
578. #424	C₂²×C₇	semidirect
579. #424	C₂²×C₇	semidirect
581. #423	C₂²×C₇	semidirect
583. C₂×C₄⋊C₈	C₂²×C₇	semidirect
1097. C₇	#60927	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×#3510	2
C₇×#3461	2
C₇×#3263	2
C₇×#3262	2
C₇×#3258	2
C₇×#3256	2
C₇×#3252	2
C₇×#3250	2
C₇×#3248	2
C₇×#3082	2
C₇×#3081	2
C₇×#3078	2
C₇×#3076	2
C₇×#3063	2
C₇×#3062	2
C₇×#3059	2
C₇×#3057	2
C₇×#3044	2
C₇×#3042	2
C₇×#3040	2
C₂×C₇×#464	2
C₇×#2906	2
#60927	7

Subgroups — C7×#60927 #13238143

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60927 #13238143