Subgroups — C₇×#62015 #13239231

Order 1792.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1134 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3558	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3519	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3399	C₂	1	2	yes	maximal, complemented
4	C₇×#3370	C₂	1	2	yes	maximal, complemented
5	C₇×#3319	C₂	1	2	yes	maximal, complemented
6	C₇×#3318	C₂	1	2	yes	maximal, complemented
7	C₇×#3301	C₂	1	2	yes	maximal, complemented
8	C₇×D₄×D₈	C₂	1	2	yes	maximal, complemented
9	C₇×#3265	C₂	1	2	yes	maximal, complemented
10	C₇×#3264	C₂	1	2	yes	maximal, complemented
11	C₇×#3257	C₂	1	2	yes	maximal, complemented
12	C₇×#3245	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3220	C₂	1	2	yes	maximal, complemented
14	C₇×#3213	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3118	C₂	1	2	yes	maximal, complemented
16	C₇×#3109	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3041	C₂	1	2	yes	maximal, complemented
18	C₂×C₇×#463	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#2992	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
21	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
22	C₂²×C₇×D₈	C₂²	1	1	yes	characteristic
23	C₂²×C₇×D₈	C₂²	1	2	yes	complemented
24	C₇×#562	—	2	1	no	—
25	C₇×H(3,𝔽₄)	—	2	1	no	—
26	C₇×#559	C₂²	1	2	yes	complemented
27	C₇×#555	C₂²	1	1	yes	characteristic, complemented
28	C₇×#554	C₂²	1	1	yes	characteristic, complemented
29	C₇×#553	—	2	1	no	—
30	C₇×#553	C₂²	1	2	yes	complemented
31	C₇×#550	C₂²	1	1	yes	characteristic, complemented
32	C₇×#548	C₂²	1	2	yes	complemented
33	C₇×#546	—	2	1	no	—
34	C₇×#546	—	2	2	no	—
35	C₇×#546	—	2	2	no	—
36	C₇×#546	C₂²	1	2	yes	complemented
37	C₇×D₄²	C₂²	1	1	yes	characteristic, complemented
38	C₇×D₄²	C₂²	1	2	yes	complemented
39	C₇×D₄²	C₂²	1	2	yes	complemented
40	C₇×#542	C₂²	1	2	yes	complemented
41	C₇×#540	C₂²	1	2	yes	complemented
42	C₇×#538	—	2	2	no	—
43	C₇×#538	—	2	2	no	—
44	C₇×#538	—	2	1	no	—
45	C₇×#535	C₂²	1	2	yes	complemented
46	C₇×#534	—	2	1	no	—
47	C₇×#532	C₂²	1	1	yes	characteristic, complemented
48	C₇×#532	C₂²	1	1	yes	characteristic, complemented
49	C₇×#529	C₂²	1	1	yes	characteristic
50	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
51	C₇×#525	—	2	1	no	—
52	C₂×C₇×#121	—	2	1	no	—
53	C₇×#518	C₂²	1	2	yes	complemented
54	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
55	C₇×#496	C₂²	1	2	yes	complemented
56	C₇×#496	C₂²	1	2	yes	complemented
57	C₇×#493	C₂²	1	2	yes	complemented
58	C₇×#490	C₂²	1	2	yes	complemented
59	C₇×#489	C₂²	1	2	yes	complemented
60	C₇×#488	C₂²	1	2	yes	complemented
61	C₇×#485	C₂²	1	2	yes	complemented
62	C₇×#482	C₂²	1	2	yes	complemented
63	C₇×#481	C₂²	1	2	yes	complemented
64	C₇×#479	C₂²	1	2	yes	complemented
65	C₇×#478	C₂²	1	2	yes	complemented
66	C₇×#476	C₂²	1	1	yes	characteristic, complemented
67	C₇×#476	C₂²	1	1	yes	characteristic, complemented
68	C₇×#474	C₂²	1	2	yes	complemented
69	C₇×#474	C₂²	1	2	yes	complemented
70	C₇×#469	C₂²	1	2	yes	complemented
71	C₇×#468	C₂²	1	2	yes	complemented
72	C₇×#466	C₂²	1	2	yes	complemented
73	C₇×#466	C₂²	1	2	yes	complemented
74	C₇×#466	C₂²	1	2	yes	complemented
75	C₇×#465	C₂²	1	2	yes	complemented
76	C₇×#463	C₂²	1	2	yes	complemented
77	C₇×#463	C₂²	1	2	yes	complemented
78	C₇×#463	C₂²	1	2	yes	complemented
79	C₇×#463	C₂²	1	2	yes	complemented
80	C₇×#463	C₂²	1	2	yes	complemented
81	C₇×#463	C₂²	1	2	yes	complemented
82	C₇×#463	C₂²	1	2	yes	complemented
83	C₇×#463	C₂²	1	2	yes	complemented
84	C₇×#460	C₂²	1	2	yes	complemented
85	C₇×#459	C₂²	1	2	yes	—
86	C₇×#459	C₂²	1	1	yes	characteristic, complemented
87	C₇×#459	C₂²	1	2	yes	complemented
88	C₇×#459	C₂²	1	2	yes	complemented
89	C₇×#459	C₂²	1	2	yes	complemented
90	C₇×#459	C₂²	1	1	yes	characteristic, complemented
91	C₇×#459	C₂²	1	2	yes	complemented
92	C₇×#450	C₂²	1	2	yes	complemented
93	C₇×#449	C₂²	1	2	yes	complemented
94	C₇×#449	C₂²	1	2	yes	complemented
95	C₇×#448	C₂²	1	2	yes	complemented
96	C₇×#447	C₂²	1	2	yes	—
97	C₇×#447	C₂²	1	2	yes	complemented
98	C₇×#447	C₂²	1	2	yes	complemented
99	C₇×#447	C₂²	1	2	yes	complemented
100	C₇×#447	C₂²	1	2	yes	complemented
101	C₇×#446	C₂²	1	2	yes	complemented
102	C₇×#442	C₂²	1	2	yes	complemented
103	C₇×#442	C₂²	1	2	yes	complemented
104	C₇×#442	C₂²	1	2	yes	complemented
105	C₇×#440	C₂²	1	2	yes	complemented
106	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
107	C₄×C₇×D₈	C₂²	1	2	yes	complemented
108	C₇×#435	C₂²	1	2	yes	complemented
109	C₇×#435	C₂²	1	2	yes	complemented
110	C₇×C₈×D₄	C₂²	1	2	yes	complemented
111	C₇×#433	C₂²	1	2	yes	complemented
112	C₇×#432	C₂²	1	1	yes	characteristic, complemented
113	C₇×#424	C₂²	1	2	yes	complemented
114	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
115	C₇×#418	C₂²	1	2	yes	complemented
116	C₇×#416	C₂²	1	2	yes	complemented
117	C₂×C₇×#103	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₇×#102	C₂²	1	1	yes	characteristic, complemented
119	#62015	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
120	C₂×C₇×#41	—	2	1	no	—
121	C₂×C₇×#41	—	2	1	no	—
122	C₂×C₇×#41	—	2	1	no	—
123	C₂×C₇×#41	C₂³	1	2	yes	—
124	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
125	C₂²×C₇×D₄	—	2	1	no	—
126	C₂²×C₇×D₄	—	2	2	no	—
127	C₂²×C₇×D₄	—	2	2	no	—
128	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
129	C₂²×C₇×D₄	C₂³	1	2	yes	—
130	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
131	C₂²×C₇×D₄	C₂³	1	2	yes	—
132	C₂³×C₄×C₇	—	2	1	no	—
133	C₇×AGL(1,ℤ/8)	—	4	4	no	—
134	C₂×C₇×SD₁₆	—	4	2	no	—
135	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
136	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
137	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
138	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
139	C₂×C₇×D₈	—	4	2	no	—
140	C₂×C₇×D₈	—	4	4	no	—
141	C₂×C₇×D₈	C₂³	1	2	yes	—
142	C₂×C₇×D₈	C₂³	1	2	yes	—
143	C₂×C₇×D₈	C₂³	1	2	yes	—
144	C₂×C₇×D₈	C₂³	1	2	yes	—
145	C₂×C₇×D₈	C₂³	1	2	yes	—
146	C₂×C₇×D₈	C₂³	1	2	yes	—
147	C₂×C₇×D₈	C₂³	1	2	yes	—
148	C₂×C₇×D₈	C₂³	1	2	yes	—
149	C₂×C₇×M₁₆	C₂³	1	2	yes	—
150	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
151	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
152	C₂²×C₇×C₈	C₂³	1	2	yes	—
153	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
154	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
155	C₇×#127	C₂³	1	2	yes	—
156	C₇×#127	C₂³	1	2	yes	—
157	C₇×#127	C₂³	1	1	yes	characteristic
158	C₇×#127	C₂³	1	1	yes	characteristic
159	C₇×#126	—	2	2	no	—
160	C₇×#126	—	2	2	no	—
161	C₇×#126	D₄	1	2	yes	—
162	C₇×#125	D₄	1	1	yes	characteristic
163	C₇×#125	C₂³	1	2	yes	—
164	C₇×#124	—	2	2	no	—
165	C₇×#124	—	2	2	no	—
166	C₇×#124	—	2	2	no	—
167	C₇×#124	—	2	2	no	—
168	C₇×#124	—	2	1	no	—
169	C₇×#124	—	2	1	no	—
170	C₇×#124	—	2	1	no	—
171	C₇×#124	—	2	1	no	—
172	C₇×#124	D₄	1	1	yes	characteristic
173	C₇×#124	C₂³	1	2	yes	—
174	C₇×#124	C₂³	1	2	yes	—
175	C₇×#124	C₂³	1	2	yes	—
176	C₇×#123	—	2	2	no	—
177	C₇×#123	—	2	2	no	—
178	C₇×#123	—	2	2	no	—
179	C₇×#123	—	2	2	no	—
180	C₇×#123	—	2	2	no	—
181	C₇×#123	—	2	2	no	—
182	C₇×#123	—	2	2	no	—
183	C₇×#123	D₄	1	2	yes	—
184	C₇×C₂²⋊Q₈	—	2	1	no	—
185	C₇×C₂²⋊Q₈	—	2	2	no	—
186	C₇×C₂²⋊Q₈	—	2	2	no	—
187	C₇×C₂²⋊Q₈	—	2	2	no	—
188	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
189	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
190	C₇×#121	—	2	2	no	—
191	C₇×#121	—	2	1	no	—
192	C₇×#121	—	2	2	no	—
193	C₇×#121	—	2	1	no	—
194	C₇×#121	—	2	1	no	—
195	C₇×#121	—	2	1	no	—
196	C₇×#121	—	2	1	no	—
197	C₇×#121	—	2	2	no	—
198	C₇×#121	—	2	2	no	—
199	C₇×#121	—	2	2	no	—
200	C₇×#121	—	2	2	no	—
201	C₇×#121	—	2	2	no	—
202	C₇×#121	—	2	2	no	—
203	C₇×#121	—	2	2	no	—
204	C₇×#121	—	2	2	no	—
205	C₇×#121	D₄	1	1	yes	characteristic
206	C₇×#121	C₂³	1	2	yes	—
207	C₇×#121	C₂³	1	2	yes	—
208	C₇×#121	C₂³	1	2	yes	—
209	C₇×#121	C₂³	1	2	yes	—
210	C₇×#121	C₂³	1	2	yes	—
211	C₇×#120	—	2	2	no	—
212	C₇×#120	—	2	2	no	—
213	C₇×#120	—	2	2	no	—
214	C₇×#120	—	2	2	no	—
215	C₇×#120	—	2	2	no	—
216	C₇×#120	—	2	2	no	—
217	C₇×#120	—	2	2	no	—
218	C₇×#120	—	2	2	no	—
219	C₄×C₇×Q₈	C₂³	1	2	yes	—
220	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
221	C₄×C₇×D₄	—	2	2	no	—
222	C₄×C₇×D₄	—	2	2	no	—
223	C₄×C₇×D₄	—	2	2	no	—
224	C₄×C₇×D₄	—	2	2	no	—
225	C₄×C₇×D₄	—	2	2	no	—
226	C₄×C₇×D₄	—	2	1	no	—
227	C₄×C₇×D₄	—	2	1	no	—
228	C₄×C₇×D₄	—	2	1	no	—
229	C₄×C₇×D₄	—	2	1	no	—
230	C₄×C₇×D₄	C₂³	1	2	yes	—
231	C₄×C₇×D₄	C₂³	1	2	yes	—
232	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
233	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
234	C₄×C₇×D₄	C₂³	1	2	yes	—
235	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
236	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
237	C₄×C₇×D₄	C₂³	1	2	yes	—
238	C₄×C₇×D₄	C₂³	1	2	yes	—
239	C₄×C₇×D₄	C₂³	1	2	yes	—
240	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
241	C₇×#117	—	2	1	no	—
242	C₇×#117	C₂³	1	2	yes	—
243	C₇×#117	C₂³	1	2	yes	—
244	C₂×C₇×C₄⋊C₄	—	2	1	no	—
245	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
247	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
248	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
249	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
250	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
251	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
252	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
253	C₇×#107	C₂³	1	2	yes	—
254	C₇×#107	C₂³	1	2	yes	—
255	C₇×#106	C₂³	1	2	yes	—
256	C₇×#106	C₂³	1	2	yes	—
257	C₇×C₄⋊C₈	C₂³	1	2	yes	—
258	C₇×C₄⋊C₈	C₂³	1	2	yes	—
259	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
260	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
261	C₇×C₄⋊C₈	C₂³	1	2	yes	—
262	C₇×C₄⋊C₈	C₂³	1	2	yes	—
263	C₇×#103	C₂³	1	2	yes	—
264	C₇×#103	C₂³	1	2	yes	—
265	C₇×#103	C₂³	1	2	yes	—
266	C₇×#103	C₂³	1	2	yes	—
267	C₇×#102	C₂³	1	2	yes	—
268	C₇×#102	C₂³	1	2	yes	—
269	C₇×#102	C₂³	1	2	yes	—
270	C₇×#102	C₂³	1	2	yes	—
271	C₇×#102	C₂³	1	2	yes	—
272	C₇×#102	C₂³	1	2	yes	—
273	C₇×#102	C₂³	1	2	yes	—
274	C₇×#102	C₂³	1	2	yes	—
275	C₇×#102	C₂³	1	2	yes	—
276	C₇×#102	C₂³	1	2	yes	—
277	C₇×#102	C₂³	1	2	yes	—
278	C₇×#102	C₂³	1	2	yes	—
279	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
280	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
281	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
282	C₇×#97	C₂³	1	2	yes	—
283	C₇×#97	C₂³	1	2	yes	—
284	C₄×C₇×C₈	C₂³	1	2	yes	—
285	#3558	C₂×C₇	1	1	yes	characteristic, complemented
286	#3519	C₂×C₇	1	1	yes	characteristic, complemented
287	#3399	C₂×C₇	1	2	yes	complemented
288	#3370	C₂×C₇	1	2	yes	complemented
289	#3319	C₂×C₇	1	2	yes	complemented
290	#3318	C₂×C₇	1	2	yes	complemented
291	#3301	C₂×C₇	1	2	yes	complemented
292	D₄×D₈	C₂×C₇	1	2	yes	complemented
293	#3265	C₂×C₇	1	2	yes	complemented
294	#3264	C₂×C₇	1	2	yes	complemented
295	#3257	C₂×C₇	1	2	yes	complemented
296	#3245	C₂×C₇	1	1	yes	characteristic, complemented
297	#3220	C₂×C₇	1	2	yes	complemented
298	#3213	C₂×C₇	1	1	yes	characteristic, complemented
299	#3118	C₂×C₇	1	2	yes	complemented
300	#3109	C₂×C₇	1	1	yes	characteristic, complemented
301	#3041	C₂×C₇	1	2	yes	complemented
302	C₂×#463	C₂×C₇	1	1	yes	characteristic, complemented
303	#2992	C₂×C₇	1	1	yes	characteristic, complemented
304	C₂⁴×C₇	—	2	1	no	—
305	C₂⁴×C₇	—	2	2	no	—
306	C₂⁴×C₇	—	2	1	no	—
307	C₂⁴×C₇	—	2	2	no	—
308	C₇×#41	—	4	2	no	—
309	C₇×#41	—	4	2	no	—
310	C₇×#41	—	8	2	no	—
311	C₇×#41	—	8	2	no	—
312	C₇×#41	—	8	2	no	—
313	C₂×C₇×Q₈	—	2	1	no	—
314	C₂×C₇×Q₈	—	2	1	no	—
315	C₂×C₇×Q₈	—	2	1	no	—
316	C₂×C₇×Q₈	—	4	1	no	—
317	C₂×C₇×Q₈	—	4	1	no	—
318	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
319	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
320	C₂×C₇×D₄	—	2	2	no	—
321	C₂×C₇×D₄	—	2	4	no	—
322	C₂×C₇×D₄	—	2	2	no	—
323	C₂×C₇×D₄	—	2	2	no	—
324	C₂×C₇×D₄	—	2	2	no	—
325	C₂×C₇×D₄	—	2	2	no	—
326	C₂×C₇×D₄	—	2	2	no	—
327	C₂×C₇×D₄	—	2	2	no	—
328	C₂×C₇×D₄	—	2	2	no	—
329	C₂×C₇×D₄	—	2	1	no	—
330	C₂×C₇×D₄	—	2	1	no	—
331	C₂×C₇×D₄	—	2	2	no	—
332	C₂×C₇×D₄	—	2	1	no	—
333	C₂×C₇×D₄	—	2	2	no	—
334	C₂×C₇×D₄	—	2	1	no	—
335	C₂×C₇×D₄	—	2	1	no	—
336	C₂×C₇×D₄	—	2	1	no	—
337	C₂×C₇×D₄	—	2	2	no	—
338	C₂×C₇×D₄	—	2	2	no	—
339	C₂×C₇×D₄	—	2	2	no	—
340	C₂×C₇×D₄	—	4	1	no	—
341	C₂×C₇×D₄	—	4	2	no	—
342	C₂×C₇×D₄	—	4	1	no	—
343	C₂×C₇×D₄	—	4	2	no	—
344	C₂×C₇×D₄	—	4	1	no	—
345	C₂×C₇×D₄	—	4	2	no	—
346	C₂×C₇×D₄	—	8	2	no	—
347	C₂×C₇×D₄	—	8	4	no	—
348	C₂×C₇×D₄	—	8	4	no	—
349	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
350	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
351	C₂×C₇×D₄	C₂⁴	1	2	yes	—
352	C₂×C₇×D₄	C₂⁴	1	2	yes	—
353	C₂×C₇×D₄	C₂⁴	1	2	yes	—
354	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
355	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₇	—	2	1	no	—
357	C₂²×C₄×C₇	—	2	1	no	—
358	C₂²×C₄×C₇	—	2	1	no	—
359	C₂²×C₄×C₇	—	2	1	no	—
360	C₂²×C₄×C₇	—	2	1	no	—
361	C₂²×C₄×C₇	—	2	2	no	—
362	C₂²×C₄×C₇	—	2	2	no	—
363	C₂²×C₄×C₇	—	2	2	no	—
364	C₂²×C₄×C₇	—	2	2	no	—
365	C₂²×C₄×C₇	—	2	2	no	—
366	C₂²×C₄×C₇	—	2	1	no	—
367	C₂²×C₄×C₇	—	2	2	no	—
368	C₂²×C₄×C₇	—	8	2	no	—
369	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
370	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
371	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
373	C₇×SD₁₆	—	2	4	no	—
374	C₇×SD₁₆	—	4	2	no	—
375	C₇×SD₁₆	—	4	2	no	—
376	C₇×SD₁₆	—	4	2	no	—
377	C₇×D₈	—	2	4	no	—
378	C₇×D₈	—	2	4	no	—
379	C₇×D₈	—	4	2	no	—
380	C₇×D₈	—	4	2	no	—
381	C₇×D₈	—	4	2	no	—
382	C₇×D₈	—	4	2	no	—
383	C₇×D₈	—	4	2	no	—
384	C₇×D₈	—	4	2	no	—
385	C₇×M₁₆	—	4	2	no	—
386	C₂×C₇×C₈	—	4	1	no	—
387	C₂×C₇×C₈	—	4	2	no	—
388	C₂×C₇×C₈	—	4	1	no	—
389	C₂×C₇×C₈	C₂⁴	1	2	yes	—
390	C₂×C₇×C₈	C₂⁴	1	2	yes	—
391	C₂×C₇×C₈	C₂⁴	1	2	yes	—
392	C₂×C₇×C₈	C₂⁴	1	2	yes	—
393	C₇×C₄⋊C₄	—	2	1	no	—
394	C₇×C₄⋊C₄	—	2	2	no	—
395	C₇×C₄⋊C₄	—	2	1	no	—
396	C₇×C₄⋊C₄	—	2	2	no	—
397	C₇×C₄⋊C₄	—	2	2	no	—
398	C₇×C₄⋊C₄	—	2	1	no	—
399	C₇×C₄⋊C₄	—	2	2	no	—
400	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
401	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
402	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
403	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
404	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
405	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
406	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
407	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
408	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
409	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
410	C₇×C₂²⋊C₄	—	2	2	no	—
411	C₇×C₂²⋊C₄	—	2	2	no	—
412	C₇×C₂²⋊C₄	—	2	1	no	—
413	C₇×C₂²⋊C₄	—	2	2	no	—
414	C₇×C₂²⋊C₄	—	2	2	no	—
415	C₇×C₂²⋊C₄	—	2	1	no	—
416	C₇×C₂²⋊C₄	—	2	2	no	—
417	C₇×C₂²⋊C₄	—	2	1	no	—
418	C₇×C₂²⋊C₄	—	2	2	no	—
419	C₇×C₂²⋊C₄	—	2	1	no	—
420	C₇×C₂²⋊C₄	—	2	2	no	—
421	C₇×C₂²⋊C₄	—	2	2	no	—
422	C₇×C₂²⋊C₄	—	2	2	no	—
423	C₇×C₂²⋊C₄	—	2	2	no	—
424	C₇×C₂²⋊C₄	—	2	2	no	—
425	C₇×C₂²⋊C₄	—	2	2	no	—
426	C₇×C₂²⋊C₄	—	2	2	no	—
427	C₇×C₂²⋊C₄	—	2	2	no	—
428	C₇×C₂²⋊C₄	—	2	2	no	—
429	C₇×C₂²⋊C₄	—	2	2	no	—
430	C₇×C₂²⋊C₄	—	2	2	no	—
431	C₇×C₂²⋊C₄	—	2	2	no	—
432	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
433	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
434	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
435	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
436	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
437	C₄²×C₇	—	2	2	no	—
438	C₄²×C₇	—	2	2	no	—
439	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
440	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
441	C₄²×C₇	C₂⁴	1	2	yes	—
442	C₄²×C₇	C₂⁴	1	1	yes	characteristic
443	C₄²×C₇	C₂⁴	1	1	yes	characteristic
444	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	2	yes	complemented
445	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
446	C₂²×D₈	C₂²×C₇	1	1	yes	characteristic
447	C₂²×D₈	C₂²×C₇	1	2	yes	complemented
448	#562	—	2	1	no	—
449	H(3,𝔽₄)	—	2	1	no	—
450	#559	C₂²×C₇	1	2	yes	complemented
451	#555	C₂²×C₇	1	1	yes	characteristic, complemented
452	#554	C₂²×C₇	1	1	yes	characteristic, complemented
453	#553	—	2	1	no	—
454	#553	C₂²×C₇	1	2	yes	complemented
455	#550	C₂²×C₇	1	1	yes	characteristic, complemented
456	#548	C₂²×C₇	1	2	yes	complemented
457	#546	—	2	1	no	—
458	#546	—	2	2	no	—
459	#546	—	2	2	no	—
460	#546	C₂²×C₇	1	2	yes	complemented
461	D₄²	C₂²×C₇	1	1	yes	characteristic, complemented
462	D₄²	C₂²×C₇	1	2	yes	complemented
463	D₄²	C₂²×C₇	1	2	yes	complemented
464	#542	C₂²×C₇	1	2	yes	complemented
465	#540	C₂²×C₇	1	2	yes	complemented
466	#538	—	2	2	no	—
467	#538	—	2	2	no	—
468	#538	—	2	1	no	—
469	#535	C₂²×C₇	1	2	yes	complemented
470	#534	—	2	1	no	—
471	#532	C₂²×C₇	1	1	yes	characteristic, complemented
472	#532	C₂²×C₇	1	1	yes	characteristic, complemented
473	#529	C₂²×C₇	1	1	yes	characteristic
474	C₂×#124	C₂²×C₇	1	1	yes	characteristic, complemented
475	#525	—	2	1	no	—
476	C₂×#121	—	2	1	no	—
477	#518	C₂²×C₇	1	2	yes	complemented
478	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
479	#496	C₂²×C₇	1	2	yes	complemented
480	#496	C₂²×C₇	1	2	yes	complemented
481	#493	C₂²×C₇	1	2	yes	complemented
482	#490	C₂²×C₇	1	2	yes	complemented
483	#489	C₂²×C₇	1	2	yes	complemented
484	#488	C₂²×C₇	1	2	yes	complemented
485	#485	C₂²×C₇	1	2	yes	complemented
486	#482	C₂²×C₇	1	2	yes	complemented
487	#481	C₂²×C₇	1	2	yes	complemented
488	#479	C₂²×C₇	1	2	yes	complemented
489	#478	C₂²×C₇	1	2	yes	complemented
490	#476	C₂²×C₇	1	1	yes	characteristic, complemented
491	#476	C₂²×C₇	1	1	yes	characteristic, complemented
492	#474	C₂²×C₇	1	2	yes	complemented
493	#474	C₂²×C₇	1	2	yes	complemented
494	#469	C₂²×C₇	1	2	yes	complemented
495	#468	C₂²×C₇	1	2	yes	complemented
496	#466	C₂²×C₇	1	2	yes	complemented
497	#466	C₂²×C₇	1	2	yes	complemented
498	#466	C₂²×C₇	1	2	yes	complemented
499	#465	C₂²×C₇	1	2	yes	complemented
500	#463	C₂²×C₇	1	2	yes	complemented
501	#463	C₂²×C₇	1	2	yes	complemented
502	#463	C₂²×C₇	1	2	yes	complemented
503	#463	C₂²×C₇	1	2	yes	complemented
504	#463	C₂²×C₇	1	2	yes	complemented
505	#463	C₂²×C₇	1	2	yes	complemented
506	#463	C₂²×C₇	1	2	yes	complemented
507	#463	C₂²×C₇	1	2	yes	complemented
508	#460	C₂²×C₇	1	2	yes	complemented
509	#459	C₂²×C₇	1	2	yes	—
510	#459	C₂²×C₇	1	1	yes	characteristic, complemented
511	#459	C₂²×C₇	1	1	yes	characteristic, complemented
512	#459	C₂²×C₇	1	2	yes	complemented
513	#459	C₂²×C₇	1	2	yes	complemented
514	#459	C₂²×C₇	1	2	yes	complemented
515	#459	C₂²×C₇	1	2	yes	complemented
516	#450	C₂²×C₇	1	2	yes	complemented
517	#449	C₂²×C₇	1	2	yes	complemented
518	#449	C₂²×C₇	1	2	yes	complemented
519	#448	C₂²×C₇	1	2	yes	complemented
520	#447	C₂²×C₇	1	2	yes	—
521	#447	C₂²×C₇	1	2	yes	complemented
522	#447	C₂²×C₇	1	2	yes	complemented
523	#447	C₂²×C₇	1	2	yes	complemented
524	#447	C₂²×C₇	1	2	yes	complemented
525	#446	C₂²×C₇	1	2	yes	complemented
526	#442	C₂²×C₇	1	2	yes	complemented
527	#442	C₂²×C₇	1	2	yes	complemented
528	#442	C₂²×C₇	1	2	yes	complemented
529	#440	C₂²×C₇	1	2	yes	complemented
530	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
531	C₄×D₈	C₂²×C₇	1	2	yes	complemented
532	#435	C₂²×C₇	1	2	yes	complemented
533	#435	C₂²×C₇	1	2	yes	complemented
534	C₈×D₄	C₂²×C₇	1	2	yes	complemented
535	#433	C₂²×C₇	1	2	yes	complemented
536	#432	C₂²×C₇	1	1	yes	characteristic, complemented
537	#424	C₂²×C₇	1	2	yes	complemented
538	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
539	#418	C₂²×C₇	1	2	yes	complemented
540	#416	C₂²×C₇	1	2	yes	complemented
541	C₂×#103	C₂²×C₇	1	1	yes	characteristic, complemented
542	C₂×#102	C₂²×C₇	1	1	yes	characteristic, complemented
543	C₂³×C₇	—	2	1	no	—
544	C₂³×C₇	—	2	2	no	—
545	C₂³×C₇	—	2	1	no	—
546	C₂³×C₇	—	2	2	no	—
547	C₂³×C₇	—	2	2	no	—
548	C₂³×C₇	—	4	2	no	—
549	C₂³×C₇	—	4	4	no	—
550	C₂³×C₇	—	4	2	no	—
551	C₂³×C₇	—	4	2	no	—
552	C₂³×C₇	—	8	1	no	—
553	C₂³×C₇	—	8	1	no	—
554	C₂³×C₇	—	8	2	no	—
555	C₂³×C₇	—	8	2	no	—
556	C₂³×C₇	—	8	2	no	—
557	C₂³×C₇	—	8	2	no	—
558	C₂³×C₇	—	8	1	no	—
559	C₂³×C₇	—	8	2	no	—
560	C₂³×C₇	C₂²×D₄	1	2	yes	—
561	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
562	C₇×Q₈	—	2	2	no	—
563	C₇×Q₈	—	2	2	no	—
564	C₇×Q₈	—	4	1	no	—
565	C₇×Q₈	—	8	1	no	—
566	C₇×Q₈	—	8	1	no	—
567	C₇×Q₈	—	8	1	no	—
568	C₇×D₄	—	2	4	no	—
569	C₇×D₄	—	2	2	no	—
570	C₇×D₄	—	2	2	no	—
571	C₇×D₄	—	2	2	no	—
572	C₇×D₄	—	2	1	no	—
573	C₇×D₄	—	2	1	no	—
574	C₇×D₄	—	2	1	no	—
575	C₇×D₄	—	2	2	no	—
576	C₇×D₄	—	2	2	no	—
577	C₇×D₄	—	2	2	no	—
578	C₇×D₄	—	4	1	no	—
579	C₇×D₄	—	4	4	no	—
580	C₇×D₄	—	4	2	no	—
581	C₇×D₄	—	4	2	no	—
582	C₇×D₄	—	4	4	no	—
583	C₇×D₄	—	4	4	no	—
584	C₇×D₄	—	8	1	no	—
585	C₇×D₄	—	8	2	no	—
586	C₇×D₄	—	8	2	no	—
587	C₇×D₄	—	8	1	no	—
588	C₇×D₄	—	8	2	no	—
589	C₇×D₄	—	8	2	no	—
590	C₇×D₄	—	8	2	no	—
591	C₇×D₄	—	8	1	no	—
592	C₇×D₄	—	8	1	no	—
593	C₇×D₄	—	8	2	no	—
594	C₇×D₄	—	8	2	no	—
595	C₇×D₄	—	8	2	no	—
596	C₇×D₄	—	8	2	no	—
597	C₇×D₄	H(5,𝔽₂)	1	2	yes	—
598	C₂×C₄×C₇	—	2	2	no	—
599	C₂×C₄×C₇	—	2	1	no	—
600	C₂×C₄×C₇	—	2	2	no	—
601	C₂×C₄×C₇	—	2	1	no	—
602	C₂×C₄×C₇	—	2	2	no	—
603	C₂×C₄×C₇	—	2	1	no	—
604	C₂×C₄×C₇	—	2	2	no	—
605	C₂×C₄×C₇	—	2	2	no	—
606	C₂×C₄×C₇	—	2	2	no	—
607	C₂×C₄×C₇	—	2	1	no	—
608	C₂×C₄×C₇	—	4	1	no	—
609	C₂×C₄×C₇	—	4	2	no	—
610	C₂×C₄×C₇	—	4	2	no	—
611	C₂×C₄×C₇	—	8	1	no	—
612	C₂×C₄×C₇	—	8	1	no	—
613	C₂×C₄×C₇	—	8	2	no	—
614	C₂×C₄×C₇	—	8	2	no	—
615	C₂×C₄×C₇	—	8	2	no	—
616	C₂×C₄×C₇	—	8	2	no	—
617	C₂×C₄×C₇	—	8	2	no	—
618	C₂×C₄×C₇	—	8	2	no	—
619	C₂×C₄×C₇	—	8	1	no	—
620	C₂×C₄×C₇	—	8	1	no	—
621	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
622	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
623	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
624	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
625	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
626	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
627	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
628	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
629	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
630	C₇×C₈	—	2	2	no	—
631	C₇×C₈	—	2	2	no	—
632	C₇×C₈	—	2	2	no	—
633	C₇×C₈	—	2	2	no	—
634	C₂×#41	—	2	1	no	—
635	C₂×#41	—	2	1	no	—
636	C₂×#41	—	2	1	no	—
637	C₂×#41	C₂³×C₇	1	2	yes	—
638	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
639	C₂²×D₄	—	2	1	no	—
640	C₂²×D₄	—	2	2	no	—
641	C₂²×D₄	—	2	2	no	—
642	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
643	C₂²×D₄	C₂³×C₇	1	2	yes	—
644	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
645	C₂²×D₄	C₂³×C₇	1	2	yes	—
646	C₂³×C₄	—	2	1	no	—
647	AGL(1,ℤ/8)	—	4	4	no	—
648	C₂×SD₁₆	—	4	2	no	—
649	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
650	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
651	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
652	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
653	C₂×D₈	—	4	2	no	—
654	C₂×D₈	—	4	4	no	—
655	C₂×D₈	C₂³×C₇	1	2	yes	—
656	C₂×D₈	C₂³×C₇	1	2	yes	—
657	C₂×D₈	C₂³×C₇	1	2	yes	—
658	C₂×D₈	C₂³×C₇	1	2	yes	—
659	C₂×D₈	C₂³×C₇	1	2	yes	—
660	C₂×D₈	C₂³×C₇	1	2	yes	—
661	C₂×D₈	C₂³×C₇	1	2	yes	—
662	C₂×D₈	C₂³×C₇	1	2	yes	—
663	C₂×M₁₆	C₂³×C₇	1	2	yes	—
664	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
665	C₂²×C₈	C₂³×C₇	1	2	yes	—
666	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
667	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
668	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
669	#127	C₂³×C₇	1	1	yes	characteristic
670	#127	C₂³×C₇	1	1	yes	characteristic
671	#127	C₂³×C₇	1	2	yes	—
672	#127	C₂³×C₇	1	2	yes	—
673	#126	—	2	2	no	—
674	#126	—	2	2	no	—
675	#126	C₇×D₄	1	2	yes	—
676	#125	C₇×D₄	1	1	yes	characteristic
677	#125	C₂³×C₇	1	2	yes	—
678	#124	—	2	2	no	—
679	#124	—	2	2	no	—
680	#124	—	2	2	no	—
681	#124	—	2	2	no	—
682	#124	—	2	1	no	—
683	#124	—	2	1	no	—
684	#124	—	2	1	no	—
685	#124	—	2	1	no	—
686	#124	C₇×D₄	1	1	yes	characteristic
687	#124	C₂³×C₇	1	2	yes	—
688	#124	C₂³×C₇	1	2	yes	—
689	#124	C₂³×C₇	1	2	yes	—
690	#123	—	2	2	no	—
691	#123	—	2	2	no	—
692	#123	—	2	2	no	—
693	#123	—	2	2	no	—
694	#123	—	2	2	no	—
695	#123	—	2	2	no	—
696	#123	—	2	2	no	—
697	#123	C₇×D₄	1	2	yes	—
698	C₂²⋊Q₈	—	2	1	no	—
699	C₂²⋊Q₈	—	2	2	no	—
700	C₂²⋊Q₈	—	2	2	no	—
701	C₂²⋊Q₈	—	2	2	no	—
702	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
703	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
704	#121	—	2	2	no	—
705	#121	—	2	1	no	—
706	#121	—	2	2	no	—
707	#121	—	2	1	no	—
708	#121	—	2	1	no	—
709	#121	—	2	1	no	—
710	#121	—	2	1	no	—
711	#121	—	2	2	no	—
712	#121	—	2	2	no	—
713	#121	—	2	2	no	—
714	#121	—	2	2	no	—
715	#121	—	2	2	no	—
716	#121	—	2	2	no	—
717	#121	—	2	2	no	—
718	#121	—	2	2	no	—
719	#121	C₇×D₄	1	1	yes	characteristic
720	#121	C₂³×C₇	1	2	yes	—
721	#121	C₂³×C₇	1	2	yes	—
722	#121	C₂³×C₇	1	2	yes	—
723	#121	C₂³×C₇	1	2	yes	—
724	#121	C₂³×C₇	1	2	yes	—
725	#120	—	2	2	no	—
726	#120	—	2	2	no	—
727	#120	—	2	2	no	—
728	#120	—	2	2	no	—
729	#120	—	2	2	no	—
730	#120	—	2	2	no	—
731	#120	—	2	2	no	—
732	#120	—	2	2	no	—
733	C₄×Q₈	C₂³×C₇	1	2	yes	—
734	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
735	C₄×D₄	—	2	2	no	—
736	C₄×D₄	—	2	2	no	—
737	C₄×D₄	—	2	2	no	—
738	C₄×D₄	—	2	2	no	—
739	C₄×D₄	—	2	2	no	—
740	C₄×D₄	—	2	1	no	—
741	C₄×D₄	—	2	1	no	—
742	C₄×D₄	—	2	1	no	—
743	C₄×D₄	—	2	1	no	—
744	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
745	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
746	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
747	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
748	C₄×D₄	C₂³×C₇	1	2	yes	—
749	C₄×D₄	C₂³×C₇	1	2	yes	—
750	C₄×D₄	C₂³×C₇	1	2	yes	—
751	C₄×D₄	C₂³×C₇	1	2	yes	—
752	C₄×D₄	C₂³×C₇	1	2	yes	—
753	C₄×D₄	C₂³×C₇	1	2	yes	—
754	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
755	#117	—	2	1	no	—
756	#117	C₂³×C₇	1	2	yes	—
757	#117	C₂³×C₇	1	2	yes	—
758	C₂×C₄⋊C₄	—	2	1	no	—
759	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
760	C₂×C₂²⋊C₄	—	2	1	no	—
761	C₂×C₂²⋊C₄	—	2	1	no	—
762	C₂×C₂²⋊C₄	—	2	1	no	—
763	C₂×C₂²⋊C₄	—	2	2	no	—
764	C₂×C₂²⋊C₄	—	2	2	no	—
765	C₂×C₂²⋊C₄	—	2	2	no	—
766	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
767	#107	C₂³×C₇	1	2	yes	—
768	#107	C₂³×C₇	1	2	yes	—
769	#106	C₂³×C₇	1	2	yes	—
770	#106	C₂³×C₇	1	2	yes	—
771	C₄⋊C₈	C₂³×C₇	1	2	yes	—
772	C₄⋊C₈	C₂³×C₇	1	2	yes	—
773	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
774	C₄⋊C₈	C₂³×C₇	1	2	yes	—
775	C₄⋊C₈	C₂³×C₇	1	2	yes	—
776	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
777	#103	C₂³×C₇	1	2	yes	—
778	#103	C₂³×C₇	1	2	yes	—
779	#103	C₂³×C₇	1	2	yes	—
780	#103	C₂³×C₇	1	2	yes	—
781	#102	C₂³×C₇	1	2	yes	—
782	#102	C₂³×C₇	1	2	yes	—
783	#102	C₂³×C₇	1	2	yes	—
784	#102	C₂³×C₇	1	2	yes	—
785	#102	C₂³×C₇	1	2	yes	—
786	#102	C₂³×C₇	1	2	yes	—
787	#102	C₂³×C₇	1	2	yes	—
788	#102	C₂³×C₇	1	2	yes	—
789	#102	C₂³×C₇	1	2	yes	—
790	#102	C₂³×C₇	1	2	yes	—
791	#102	C₂³×C₇	1	2	yes	—
792	#102	C₂³×C₇	1	2	yes	—
793	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
794	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
795	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
796	#97	C₂³×C₇	1	2	yes	—
797	#97	C₂³×C₇	1	2	yes	—
798	C₄×C₈	C₂³×C₇	1	2	yes	—
799	C₂²×C₇	—	2	1	no	—
800	C₂²×C₇	—	2	1	no	—
801	C₂²×C₇	—	2	2	no	—
802	C₂²×C₇	—	2	2	no	—
803	C₂²×C₇	—	2	2	no	—
804	C₂²×C₇	—	2	2	no	—
805	C₂²×C₇	—	4	1	no	—
806	C₂²×C₇	—	4	1	no	—
807	C₂²×C₇	—	4	1	no	—
808	C₂²×C₇	—	4	2	no	—
809	C₂²×C₇	—	4	2	no	—
810	C₂²×C₇	—	4	2	no	—
811	C₂²×C₇	—	4	2	no	—
812	C₂²×C₇	—	4	1	no	—
813	C₂²×C₇	—	4	2	no	—
814	C₂²×C₇	—	4	2	no	—
815	C₂²×C₇	—	4	2	no	—
816	C₂²×C₇	—	4	2	no	—
817	C₂²×C₇	—	4	2	no	—
818	C₂²×C₇	—	4	1	no	—
819	C₂²×C₇	—	8	4	no	—
820	C₂²×C₇	—	16	2	no	—
821	C₂²×C₇	—	16	4	no	—
822	C₂²×C₇	—	16	4	no	—
823	C₂²×C₇	#576	1	2	yes	—
824	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
825	C₄×C₇	—	2	1	no	—
826	C₄×C₇	—	2	1	no	—
827	C₄×C₇	—	2	2	no	—
828	C₄×C₇	—	2	2	no	—
829	C₄×C₇	—	2	1	no	—
830	C₄×C₇	—	2	1	no	—
831	C₄×C₇	—	2	1	no	—
832	C₄×C₇	—	2	2	no	—
833	C₄×C₇	—	4	1	no	—
834	C₄×C₇	—	4	1	no	—
835	C₄×C₇	—	4	2	no	—
836	C₄×C₇	—	4	2	no	—
837	C₄×C₇	—	4	2	no	—
838	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
839	C₄×C₇	#585	1	1	yes	characteristic
840	C₂⁴	—	2	1	no	—
841	C₂⁴	—	2	2	no	—
842	C₂⁴	—	2	1	no	—
843	C₂⁴	—	2	2	no	—
844	#41	—	4	2	no	—
845	#41	—	4	2	no	—
846	#41	—	8	2	no	—
847	#41	—	8	2	no	—
848	#41	—	8	2	no	—
849	C₂×Q₈	—	2	1	no	—
850	C₂×Q₈	—	2	1	no	—
851	C₂×Q₈	—	2	1	no	—
852	C₂×Q₈	—	4	1	no	—
853	C₂×Q₈	—	4	1	no	—
854	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
855	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
856	C₂×D₄	—	2	2	no	—
857	C₂×D₄	—	2	4	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	2	2	no	—
860	C₂×D₄	—	2	2	no	—
861	C₂×D₄	—	2	2	no	—
862	C₂×D₄	—	2	2	no	—
863	C₂×D₄	—	2	2	no	—
864	C₂×D₄	—	2	2	no	—
865	C₂×D₄	—	2	1	no	—
866	C₂×D₄	—	2	1	no	—
867	C₂×D₄	—	2	2	no	—
868	C₂×D₄	—	2	1	no	—
869	C₂×D₄	—	2	2	no	—
870	C₂×D₄	—	2	1	no	—
871	C₂×D₄	—	2	1	no	—
872	C₂×D₄	—	2	1	no	—
873	C₂×D₄	—	2	2	no	—
874	C₂×D₄	—	2	2	no	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	4	1	no	—
877	C₂×D₄	—	4	2	no	—
878	C₂×D₄	—	4	1	no	—
879	C₂×D₄	—	4	2	no	—
880	C₂×D₄	—	4	1	no	—
881	C₂×D₄	—	4	2	no	—
882	C₂×D₄	—	8	2	no	—
883	C₂×D₄	—	8	4	no	—
884	C₂×D₄	—	8	4	no	—
885	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
886	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
887	C₂×D₄	C₂⁴×C₇	1	2	yes	—
888	C₂×D₄	C₂⁴×C₇	1	2	yes	—
889	C₂×D₄	C₂⁴×C₇	1	2	yes	—
890	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
891	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
892	C₂²×C₄	—	2	1	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	1	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	1	no	—
897	C₂²×C₄	—	2	2	no	—
898	C₂²×C₄	—	2	2	no	—
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	8	2	no	—
905	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
906	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
907	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
908	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
909	SD₁₆	—	2	4	no	—
910	SD₁₆	—	4	2	no	—
911	SD₁₆	—	4	2	no	—
912	SD₁₆	—	4	2	no	—
913	D₈	—	2	4	no	—
914	D₈	—	2	4	no	—
915	D₈	—	4	2	no	—
916	D₈	—	4	2	no	—
917	D₈	—	4	2	no	—
918	D₈	—	4	2	no	—
919	D₈	—	4	2	no	—
920	D₈	—	4	2	no	—
921	M₁₆	—	4	2	no	—
922	C₂×C₈	—	4	1	no	—
923	C₂×C₈	—	4	2	no	—
924	C₂×C₈	—	4	1	no	—
925	C₂×C₈	C₂⁴×C₇	1	2	yes	—
926	C₂×C₈	C₂⁴×C₇	1	2	yes	—
927	C₂×C₈	C₂⁴×C₇	1	2	yes	—
928	C₂×C₈	C₂⁴×C₇	1	2	yes	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	2	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
937	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
938	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
939	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
940	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
941	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
942	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
943	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
944	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
945	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
946	C₂²⋊C₄	—	2	2	no	—
947	C₂²⋊C₄	—	2	2	no	—
948	C₂²⋊C₄	—	2	1	no	—
949	C₂²⋊C₄	—	2	2	no	—
950	C₂²⋊C₄	—	2	2	no	—
951	C₂²⋊C₄	—	2	1	no	—
952	C₂²⋊C₄	—	2	2	no	—
953	C₂²⋊C₄	—	2	1	no	—
954	C₂²⋊C₄	—	2	2	no	—
955	C₂²⋊C₄	—	2	1	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	2	no	—
958	C₂²⋊C₄	—	2	2	no	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	2	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
969	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
970	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
971	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
972	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
973	C₄²	—	2	2	no	—
974	C₄²	—	2	2	no	—
975	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
976	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
977	C₄²	C₂⁴×C₇	1	2	yes	—
978	C₄²	C₂⁴×C₇	1	1	yes	characteristic
979	C₄²	C₂⁴×C₇	1	1	yes	characteristic
980	C₂×C₇	—	2	2	no	—
981	C₂×C₇	—	4	2	no	—
982	C₂×C₇	—	4	2	no	—
983	C₂×C₇	—	8	1	no	—
984	C₂×C₇	—	8	2	no	—
985	C₂×C₇	—	8	2	no	—
986	C₂×C₇	—	8	2	no	—
987	C₂×C₇	#3488	1	1	yes	characteristic
988	C₂×C₇	C₂×#576	1	1	yes	characteristic
989	C₂×C₇	#3585	1	1	yes	characteristic
990	C₂³	—	2	1	no	—
991	C₂³	—	2	2	no	—
992	C₂³	—	2	2	no	—
993	C₂³	—	2	2	no	—
994	C₂³	—	2	1	no	—
995	C₂³	—	4	2	no	—
996	C₂³	—	4	4	no	—
997	C₂³	—	4	2	no	—
998	C₂³	—	4	2	no	—
999	C₂³	—	8	1	no	—
1000	C₂³	—	8	1	no	—
1001	C₂³	—	8	2	no	—
1002	C₂³	—	8	2	no	—
1003	C₂³	—	8	2	no	—
1004	C₂³	—	8	2	no	—
1005	C₂³	—	8	1	no	—
1006	C₂³	—	8	2	no	—
1007	C₂³	C₂²×C₇×D₄	1	2	yes	—
1008	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1009	Q₈	—	2	2	no	—
1010	Q₈	—	2	2	no	—
1011	Q₈	—	4	1	no	—
1012	Q₈	—	8	1	no	—
1013	Q₈	—	8	1	no	—
1014	Q₈	—	8	1	no	—
1015	D₄	—	2	4	no	—
1016	D₄	—	2	2	no	—
1017	D₄	—	2	2	no	—
1018	D₄	—	2	2	no	—
1019	D₄	—	2	1	no	—
1020	D₄	—	2	1	no	—
1021	D₄	—	2	1	no	—
1022	D₄	—	2	2	no	—
1023	D₄	—	2	2	no	—
1024	D₄	—	2	2	no	—
1025	D₄	—	4	1	no	—
1026	D₄	—	4	4	no	—
1027	D₄	—	4	2	no	—
1028	D₄	—	4	2	no	—
1029	D₄	—	4	4	no	—
1030	D₄	—	4	4	no	—
1031	D₄	—	8	1	no	—
1032	D₄	—	8	2	no	—
1033	D₄	—	8	2	no	—
1034	D₄	—	8	1	no	—
1035	D₄	—	8	2	no	—
1036	D₄	—	8	2	no	—
1037	D₄	—	8	1	no	—
1038	D₄	—	8	1	no	—
1039	D₄	—	8	2	no	—
1040	D₄	—	8	2	no	—
1041	D₄	—	8	2	no	—
1042	D₄	—	8	2	no	—
1043	D₄	—	8	2	no	—
1044	D₄	C₇×H(5,𝔽₂)	1	2	yes	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	4	1	no	—
1056	C₂×C₄	—	4	2	no	—
1057	C₂×C₄	—	4	2	no	—
1058	C₂×C₄	—	8	1	no	—
1059	C₂×C₄	—	8	1	no	—
1060	C₂×C₄	—	8	2	no	—
1061	C₂×C₄	—	8	2	no	—
1062	C₂×C₄	—	8	2	no	—
1063	C₂×C₄	—	8	2	no	—
1064	C₂×C₄	—	8	2	no	—
1065	C₂×C₄	—	8	2	no	—
1066	C₂×C₄	—	8	1	no	—
1067	C₂×C₄	—	8	1	no	—
1068	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1069	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1070	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1071	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1072	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1073	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1074	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1075	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1076	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1077	C₈	—	2	2	no	—
1078	C₈	—	2	2	no	—
1079	C₈	—	2	2	no	—
1080	C₈	—	2	2	no	—
1081	C₇	#62015	1	1	yes	characteristic, direct product factor, Sylow
1082	C₂²	—	2	1	no	—
1083	C₂²	—	2	1	no	—
1084	C₂²	—	2	2	no	—
1085	C₂²	—	2	2	no	—
1086	C₂²	—	2	2	no	—
1087	C₂²	—	2	2	no	—
1088	C₂²	—	4	1	no	—
1089	C₂²	—	4	1	no	—
1090	C₂²	—	4	2	no	—
1091	C₂²	—	4	2	no	—
1092	C₂²	—	4	2	no	—
1093	C₂²	—	4	1	no	—
1094	C₂²	—	4	1	no	—
1095	C₂²	—	4	2	no	—
1096	C₂²	—	4	2	no	—
1097	C₂²	—	4	2	no	—
1098	C₂²	—	4	2	no	—
1099	C₂²	—	4	1	no	—
1100	C₂²	—	4	2	no	—
1101	C₂²	—	4	2	no	—
1102	C₂²	—	8	4	no	—
1103	C₂²	—	16	2	no	—
1104	C₂²	—	16	4	no	—
1105	C₂²	—	16	4	no	—
1106	C₂²	C₇×#576	1	2	yes	—
1107	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1108	C₄	—	2	1	no	—
1109	C₄	—	2	1	no	—
1110	C₄	—	2	2	no	—
1111	C₄	—	2	1	no	—
1112	C₄	—	2	1	no	—
1113	C₄	—	2	2	no	—
1114	C₄	—	2	2	no	—
1115	C₄	—	2	1	no	—
1116	C₄	—	4	2	no	—
1117	C₄	—	4	2	no	—
1118	C₄	—	4	1	no	—
1119	C₄	—	4	1	no	—
1120	C₄	—	4	2	no	—
1121	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1122	C₄	C₇×#585	1	1	yes	characteristic
1123	C₂	—	2	2	no	—
1124	C₂	—	4	2	no	—
1125	C₂	—	4	2	no	—
1126	C₂	—	8	1	no	—
1127	C₂	—	8	2	no	—
1128	C₂	—	8	2	no	—
1129	C₂	—	8	2	no	—
1130	C₂	C₇×#3488	1	1	yes	characteristic
1131	C₂	C₂×C₇×#576	1	1	yes	characteristic
1132	C₂	C₇×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₇×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3558	C₂	semidirect
2. C₇×#3519	C₂	semidirect
3. C₇×#3399	C₂	semidirect
4. C₇×#3370	C₂	semidirect
5. C₇×#3319	C₂	semidirect
6. C₇×#3318	C₂	semidirect
7. C₇×#3301	C₂	semidirect
8. C₇×D₄×D₈	C₂	semidirect
9. C₇×#3265	C₂	semidirect
10. C₇×#3264	C₂	semidirect
11. C₇×#3257	C₂	semidirect
12. C₇×#3245	C₂	semidirect
13. C₇×#3220	C₂	semidirect
14. C₇×#3213	C₂	semidirect
15. C₇×#3118	C₂	semidirect
16. C₇×#3109	C₂	semidirect
17. C₇×#3041	C₂	semidirect
18. C₂×C₇×#463	C₂	semidirect
19. C₇×#2992	C₂	semidirect
20. C₂×C₇×AGL(1,ℤ/8)	C₂²	semidirect
21. C₂²×C₇×SD₁₆	C₂²	semidirect
23. C₂²×C₇×D₈	C₂²	semidirect
26. C₇×#559	C₂²	semidirect
27. C₇×#555	C₂²	semidirect
28. C₇×#554	C₂²	semidirect
30. C₇×#553	C₂²	semidirect
31. C₇×#550	C₂²	semidirect
32. C₇×#548	C₂²	semidirect
36. C₇×#546	C₂²	semidirect
37. C₇×D₄²	C₂²	semidirect
38. C₇×D₄²	C₂²	semidirect
39. C₇×D₄²	C₂²	semidirect
40. C₇×#542	C₂²	semidirect
41. C₇×#540	C₂²	semidirect
45. C₇×#535	C₂²	semidirect
47. C₇×#532	C₂²	semidirect
48. C₇×#532	C₂²	semidirect
50. C₂×C₇×#124	C₂²	semidirect
53. C₇×#518	C₂²	semidirect
54. C₂×C₄×C₇×D₄	C₂²	semidirect
55. C₇×#496	C₂²	semidirect
56. C₇×#496	C₂²	semidirect
57. C₇×#493	C₂²	semidirect
58. C₇×#490	C₂²	semidirect
59. C₇×#489	C₂²	semidirect
60. C₇×#488	C₂²	semidirect
61. C₇×#485	C₂²	semidirect
62. C₇×#482	C₂²	semidirect
63. C₇×#481	C₂²	semidirect
64. C₇×#479	C₂²	semidirect
65. C₇×#478	C₂²	semidirect
66. C₇×#476	C₂²	semidirect
67. C₇×#476	C₂²	semidirect
68. C₇×#474	C₂²	semidirect
69. C₇×#474	C₂²	semidirect
70. C₇×#469	C₂²	semidirect
71. C₇×#468	C₂²	semidirect
72. C₇×#466	C₂²	semidirect
73. C₇×#466	C₂²	semidirect
74. C₇×#466	C₂²	semidirect
75. C₇×#465	C₂²	semidirect
76. C₇×#463	C₂²	semidirect
77. C₇×#463	C₂²	semidirect
78. C₇×#463	C₂²	semidirect
79. C₇×#463	C₂²	semidirect
80. C₇×#463	C₂²	semidirect
81. C₇×#463	C₂²	semidirect
82. C₇×#463	C₂²	semidirect
83. C₇×#463	C₂²	semidirect
84. C₇×#460	C₂²	semidirect
86. C₇×#459	C₂²	semidirect
87. C₇×#459	C₂²	semidirect
88. C₇×#459	C₂²	semidirect
89. C₇×#459	C₂²	semidirect
90. C₇×#459	C₂²	semidirect
91. C₇×#459	C₂²	semidirect
92. C₇×#450	C₂²	semidirect
93. C₇×#449	C₂²	semidirect
94. C₇×#449	C₂²	semidirect
95. C₇×#448	C₂²	semidirect
97. C₇×#447	C₂²	semidirect
98. C₇×#447	C₂²	semidirect
99. C₇×#447	C₂²	semidirect
100. C₇×#447	C₂²	semidirect
101. C₇×#446	C₂²	semidirect
102. C₇×#442	C₂²	semidirect
103. C₇×#442	C₂²	semidirect
104. C₇×#442	C₂²	semidirect
105. C₇×#440	C₂²	semidirect
106. C₄×C₇×SD₁₆	C₂²	semidirect
107. C₄×C₇×D₈	C₂²	semidirect
108. C₇×#435	C₂²	semidirect
109. C₇×#435	C₂²	semidirect
110. C₇×C₈×D₄	C₂²	semidirect
111. C₇×#433	C₂²	semidirect
112. C₇×#432	C₂²	semidirect
113. C₇×#424	C₂²	semidirect
114. C₂×C₇×C₄⋊C₈	C₂²	semidirect
115. C₇×#418	C₂²	semidirect
116. C₇×#416	C₂²	semidirect
117. C₂×C₇×#103	C₂²	semidirect
118. C₂×C₇×#102	C₂²	semidirect
119. #62015	C₇	direct (N × H)
285. #3558	C₂×C₇	semidirect
286. #3519	C₂×C₇	semidirect
287. #3399	C₂×C₇	semidirect
288. #3370	C₂×C₇	semidirect
289. #3319	C₂×C₇	semidirect
290. #3318	C₂×C₇	semidirect
291. #3301	C₂×C₇	semidirect
292. D₄×D₈	C₂×C₇	semidirect
293. #3265	C₂×C₇	semidirect
294. #3264	C₂×C₇	semidirect
295. #3257	C₂×C₇	semidirect
296. #3245	C₂×C₇	semidirect
297. #3220	C₂×C₇	semidirect
298. #3213	C₂×C₇	semidirect
299. #3118	C₂×C₇	semidirect
300. #3109	C₂×C₇	semidirect
301. #3041	C₂×C₇	semidirect
302. C₂×#463	C₂×C₇	semidirect
303. #2992	C₂×C₇	semidirect
444. C₂×AGL(1,ℤ/8)	C₂²×C₇	semidirect
445. C₂²×SD₁₆	C₂²×C₇	semidirect
447. C₂²×D₈	C₂²×C₇	semidirect
450. #559	C₂²×C₇	semidirect
451. #555	C₂²×C₇	semidirect
452. #554	C₂²×C₇	semidirect
454. #553	C₂²×C₇	semidirect
455. #550	C₂²×C₇	semidirect
456. #548	C₂²×C₇	semidirect
460. #546	C₂²×C₇	semidirect
461. D₄²	C₂²×C₇	semidirect
462. D₄²	C₂²×C₇	semidirect
463. D₄²	C₂²×C₇	semidirect
464. #542	C₂²×C₇	semidirect
465. #540	C₂²×C₇	semidirect
469. #535	C₂²×C₇	semidirect
471. #532	C₂²×C₇	semidirect
472. #532	C₂²×C₇	semidirect
474. C₂×#124	C₂²×C₇	semidirect
477. #518	C₂²×C₇	semidirect
478. C₂×C₄×D₄	C₂²×C₇	semidirect
479. #496	C₂²×C₇	semidirect
480. #496	C₂²×C₇	semidirect
481. #493	C₂²×C₇	semidirect
482. #490	C₂²×C₇	semidirect
483. #489	C₂²×C₇	semidirect
484. #488	C₂²×C₇	semidirect
485. #485	C₂²×C₇	semidirect
486. #482	C₂²×C₇	semidirect
487. #481	C₂²×C₇	semidirect
488. #479	C₂²×C₇	semidirect
489. #478	C₂²×C₇	semidirect
490. #476	C₂²×C₇	semidirect
491. #476	C₂²×C₇	semidirect
492. #474	C₂²×C₇	semidirect
493. #474	C₂²×C₇	semidirect
494. #469	C₂²×C₇	semidirect
495. #468	C₂²×C₇	semidirect
496. #466	C₂²×C₇	semidirect
497. #466	C₂²×C₇	semidirect
498. #466	C₂²×C₇	semidirect
499. #465	C₂²×C₇	semidirect
500. #463	C₂²×C₇	semidirect
501. #463	C₂²×C₇	semidirect
502. #463	C₂²×C₇	semidirect
503. #463	C₂²×C₇	semidirect
504. #463	C₂²×C₇	semidirect
505. #463	C₂²×C₇	semidirect
506. #463	C₂²×C₇	semidirect
507. #463	C₂²×C₇	semidirect
508. #460	C₂²×C₇	semidirect
510. #459	C₂²×C₇	semidirect
511. #459	C₂²×C₇	semidirect
512. #459	C₂²×C₇	semidirect
513. #459	C₂²×C₇	semidirect
514. #459	C₂²×C₇	semidirect
515. #459	C₂²×C₇	semidirect
516. #450	C₂²×C₇	semidirect
517. #449	C₂²×C₇	semidirect
518. #449	C₂²×C₇	semidirect
519. #448	C₂²×C₇	semidirect
521. #447	C₂²×C₇	semidirect
522. #447	C₂²×C₇	semidirect
523. #447	C₂²×C₇	semidirect
524. #447	C₂²×C₇	semidirect
525. #446	C₂²×C₇	semidirect
526. #442	C₂²×C₇	semidirect
527. #442	C₂²×C₇	semidirect
528. #442	C₂²×C₇	semidirect
529. #440	C₂²×C₇	semidirect
530. C₄×SD₁₆	C₂²×C₇	semidirect
531. C₄×D₈	C₂²×C₇	semidirect
532. #435	C₂²×C₇	semidirect
533. #435	C₂²×C₇	semidirect
534. C₈×D₄	C₂²×C₇	semidirect
535. #433	C₂²×C₇	semidirect
536. #432	C₂²×C₇	semidirect
537. #424	C₂²×C₇	semidirect
538. C₂×C₄⋊C₈	C₂²×C₇	semidirect
539. #418	C₂²×C₇	semidirect
540. #416	C₂²×C₇	semidirect
541. C₂×#103	C₂²×C₇	semidirect
542. C₂×#102	C₂²×C₇	semidirect
1081. C₇	#62015	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×#3558	2
C₇×#3519	2
C₇×#3399	2
C₇×#3370	2
C₇×#3319	2
C₇×#3318	2
C₇×#3301	2
C₇×D₄×D₈	2
C₇×#3265	2
C₇×#3264	2
C₇×#3257	2
C₇×#3245	2
C₇×#3220	2
C₇×#3213	2
C₇×#3118	2
C₇×#3109	2
C₇×#3041	2
C₂×C₇×#463	2
C₇×#2992	2
#62015	7

Subgroups — C7×#62015 #13239231

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62015 #13239231