Subgroups — C₇×#62831 #13240047

Order 1792.

6528 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3565	C₂	1	4	yes	maximal, complemented
2	C₇×#3564	C₂	1	4	yes	maximal, complemented
3	C₇×#3557	C₂	1	4	yes	maximal, complemented
4	C₇×#3555	C₂	1	2	yes	maximal, complemented
5	C₇×#3554	C₂	1	2	yes	maximal, complemented
6	C₇×#3552	C₂	1	2	yes	maximal, complemented
7	C₇×#3544	C₂	1	2	yes	maximal, complemented
8	C₇×#3535	C₂	1	4	yes	maximal, complemented
9	C₇×#3523	C₂	1	2	yes	maximal, complemented
10	C₇×#3522	C₂	1	2	yes	maximal, complemented
11	C₇×#3520	C₂	1	4	yes	maximal, complemented
12	C₇×#3518	C₂	1	2	yes	maximal, complemented
13	C₇×#3515	C₂	1	4	yes	maximal, complemented
14	C₇×#3515	C₂	1	2	yes	maximal, complemented
15	C₇×#3510	C₂	1	2	yes	maximal, complemented
16	C₇×#3507	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3507	C₂	1	4	yes	maximal, complemented
18	C₇×#3506	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3504	C₂	1	2	yes	maximal, complemented
20	C₇×#3502	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3501	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3495	C₂	1	2	yes	maximal, complemented
23	C₇×#3495	C₂	1	4	yes	maximal, complemented
24	C₇×#3494	C₂	1	2	yes	maximal, complemented
25	C₇×#3444	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×C₇×#533	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×C₇×#529	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#563	C₂²	1	8	yes	complemented
29	C₇×#563	C₂²	1	8	yes	complemented
30	C₇×#563	C₂²	1	8	yes	complemented
31	C₇×#562	C₂²	1	8	yes	complemented
32	C₇×#559	C₂²	1	4	yes	complemented
33	C₇×#559	C₂²	1	4	yes	complemented
34	C₇×#559	C₂²	1	2	yes	complemented
35	C₇×#559	C₂²	1	4	yes	complemented
36	C₇×Q₈²	C₂²	1	2	yes	complemented
37	C₇×Q₈²	C₂²	1	2	yes	complemented
38	C₇×#557	C₂²	1	4	yes	complemented
39	C₇×#557	C₂²	1	4	yes	complemented
40	C₇×#557	C₂²	1	2	yes	complemented
41	C₇×#557	C₂²	1	2	yes	complemented
42	C₇×#557	C₂²	1	4	yes	complemented
43	C₇×#557	C₂²	1	4	yes	complemented
44	C₇×#557	C₂²	1	2	yes	complemented
45	C₇×#556	C₂²	1	8	yes	complemented
46	C₇×#556	C₂²	1	8	yes	complemented
47	C₇×#556	C₂²	1	4	yes	complemented
48	C₇×#556	C₂²	1	2	yes	complemented
49	C₇×#556	C₂²	1	4	yes	complemented
50	C₇×#556	C₂²	1	4	yes	complemented
51	C₇×#556	C₂²	1	2	yes	complemented
52	C₇×#556	C₂²	1	4	yes	complemented
53	C₇×#556	C₂²	1	4	yes	complemented
54	C₇×#555	C₂²	1	4	yes	—
55	C₇×#555	C₂²	1	2	yes	complemented
56	C₇×#554	C₂²	1	8	yes	—
57	C₇×#554	C₂²	1	8	yes	—
58	C₇×#554	C₂²	1	4	yes	complemented
59	C₇×#554	C₂²	1	4	yes	complemented
60	C₇×#554	C₂²	1	4	yes	complemented
61	C₇×#554	C₂²	1	2	yes	complemented
62	C₇×#554	C₂²	1	2	yes	complemented
63	C₇×#554	C₂²	1	4	yes	complemented
64	C₇×#554	C₂²	1	4	yes	complemented
65	C₇×#554	C₂²	1	2	yes	complemented
66	C₇×#553	C₂²	1	4	yes	—
67	C₇×#553	C₂²	1	4	yes	—
68	C₇×#553	C₂²	1	4	yes	complemented
69	C₇×#552	C₂²	1	8	yes	—
70	C₇×#552	C₂²	1	8	yes	complemented
71	C₇×#552	C₂²	1	8	yes	complemented
72	C₇×#552	C₂²	1	4	yes	complemented
73	C₇×#552	C₂²	1	4	yes	complemented
74	C₇×#552	C₂²	1	4	yes	complemented
75	C₇×#552	C₂²	1	8	yes	complemented
76	C₇×#552	C₂²	1	8	yes	complemented
77	C₇×#552	C₂²	1	4	yes	complemented
78	C₇×#552	C₂²	1	8	yes	complemented
79	C₇×#552	C₂²	1	4	yes	complemented
80	C₇×#551	C₂²	1	8	yes	—
81	C₇×#551	C₂²	1	8	yes	—
82	C₇×#551	C₂²	1	8	yes	—
83	C₇×#551	C₂²	1	8	yes	—
84	C₇×#550	C₂²	1	2	yes	complemented
85	C₇×D₄×Q₈	C₂²	1	2	yes	complemented
86	C₇×D₄×Q₈	C₂²	1	2	yes	complemented
87	C₇×D₄×Q₈	C₂²	1	4	yes	complemented
88	C₇×#548	C₂²	1	4	yes	complemented
89	C₇×#548	C₂²	1	4	yes	complemented
90	C₇×#547	C₂²	1	4	yes	—
91	C₇×#547	C₂²	1	2	yes	complemented
92	C₇×#547	C₂²	1	4	yes	complemented
93	C₇×#547	C₂²	1	8	yes	complemented
94	C₇×#547	C₂²	1	4	yes	complemented
95	C₇×#546	C₂²	1	8	yes	—
96	C₇×#544	C₂²	1	4	yes	—
97	C₇×#544	C₂²	1	2	yes	—
98	C₇×#544	C₂²	1	2	yes	—
99	C₇×#544	C₂²	1	4	yes	complemented
100	C₇×#544	C₂²	1	4	yes	complemented
101	C₇×#544	C₂²	1	4	yes	complemented
102	C₇×#543	C₂²	1	4	yes	—
103	C₇×#542	C₂²	1	4	yes	—
104	C₇×#542	C₂²	1	8	yes	complemented
105	C₇×#542	C₂²	1	4	yes	complemented
106	C₇×#542	C₂²	1	4	yes	complemented
107	C₇×#542	C₂²	1	8	yes	complemented
108	C₇×#542	C₂²	1	4	yes	complemented
109	C₇×#542	C₂²	1	4	yes	complemented
110	C₇×#542	C₂²	1	4	yes	complemented
111	C₇×#542	C₂²	1	8	yes	complemented
112	C₇×#541	C₂²	1	8	yes	complemented
113	C₇×#541	C₂²	1	8	yes	complemented
114	C₇×#541	C₂²	1	4	yes	complemented
115	C₇×#541	C₂²	1	4	yes	complemented
116	C₇×#541	C₂²	1	4	yes	complemented
117	C₇×#540	C₂²	1	4	yes	—
118	C₇×#539	C₂²	1	4	yes	—
119	C₇×#539	C₂²	1	8	yes	complemented
120	C₇×#539	C₂²	1	8	yes	complemented
121	C₇×#539	C₂²	1	8	yes	complemented
122	C₇×#539	C₂²	1	8	yes	complemented
123	C₇×#539	C₂²	1	8	yes	complemented
124	C₇×#538	C₂²	1	4	yes	—
125	C₇×#536	C₂²	1	2	yes	—
126	C₇×#536	C₂²	1	4	yes	complemented
127	C₇×#536	C₂²	1	8	yes	complemented
128	C₇×#535	C₂²	1	2	yes	—
129	C₇×#533	C₂²	1	2	yes	—
130	C₇×#533	C₂²	1	2	yes	—
131	C₇×#533	C₂²	1	1	yes	characteristic
132	C₇×#533	C₂²	1	1	yes	characteristic
133	C₇×#533	C₂²	1	2	yes	—
134	C₇×#533	C₂²	1	1	yes	characteristic
135	C₇×#533	C₂²	1	4	yes	—
136	C₇×#533	C₂²	1	2	yes	complemented
137	C₇×#533	C₂²	1	1	yes	characteristic, complemented
138	C₇×#533	C₂²	1	1	yes	characteristic, complemented
139	C₇×#533	C₂²	1	2	yes	complemented
140	C₇×#533	C₂²	1	2	yes	complemented
141	C₇×#533	C₂²	1	1	yes	characteristic, complemented
142	C₇×#533	C₂²	1	1	yes	characteristic, complemented
143	C₇×#533	C₂²	1	4	yes	complemented
144	C₇×#533	C₂²	1	4	yes	complemented
145	C₇×#532	C₂²	1	1	yes	characteristic
146	C₇×#532	C₂²	1	4	yes	—
147	C₇×#532	C₂²	1	1	yes	characteristic, complemented
148	C₇×#532	C₂²	1	1	yes	characteristic, complemented
149	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
150	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
151	C₇×#529	C₂²	1	2	yes	—
152	C₇×#529	C₂²	1	2	yes	—
153	C₇×#529	C₂²	1	2	yes	—
154	C₇×#529	C₂²	1	2	yes	—
155	C₇×#529	C₂²	1	2	yes	—
156	C₇×#529	C₂²	1	2	yes	—
157	C₇×#529	C₂²	1	2	yes	—
158	C₇×#529	C₂²	1	2	yes	—
159	C₇×#529	C₂²	1	2	yes	—
160	C₇×#529	C₂²	1	2	yes	—
161	C₇×#529	C₂²	1	4	yes	—
162	C₇×#529	C₂²	1	4	yes	—
163	C₇×#529	C₂²	1	2	yes	complemented
164	C₇×#529	C₂²	1	2	yes	complemented
165	C₇×#529	C₂²	1	2	yes	complemented
166	C₇×#529	C₂²	1	2	yes	complemented
167	C₇×#529	C₂²	1	4	yes	complemented
168	C₇×#529	C₂²	1	4	yes	complemented
169	C₇×#529	C₂²	1	4	yes	complemented
170	C₂×C₇×#126	C₂²	1	2	yes	—
171	C₂×C₇×#125	C₂²	1	1	yes	characteristic
172	C₂×C₇×#125	C₂²	1	2	yes	complemented
173	C₂×C₇×#125	C₂²	1	4	yes	complemented
174	C₂×C₇×#124	C₂²	1	1	yes	characteristic
175	C₇×#525	C₂²	1	2	yes	—
176	C₇×#525	C₂²	1	2	yes	—
177	C₇×#525	C₂²	1	2	yes	—
178	C₇×#525	C₂²	1	4	yes	—
179	C₂×C₇×#123	C₂²	1	2	yes	—
180	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
181	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
182	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
183	C₂×C₇×C₂²⋊Q₈	C₂²	1	4	yes	—
184	C₂×C₇×#121	C₂²	1	1	yes	characteristic
185	C₇×#520	C₂²	1	2	yes	—
186	C₇×#520	C₂²	1	2	yes	—
187	C₇×#520	C₂²	1	4	yes	complemented
188	C₇×#520	C₂²	1	8	yes	complemented
189	C₇×#519	C₂²	1	2	yes	—
190	C₇×#519	C₂²	1	4	yes	complemented
191	C₇×#518	C₂²	1	2	yes	—
192	C₄×C₇×#41	C₂²	1	2	yes	—
193	C₄×C₇×#41	C₂²	1	2	yes	complemented
194	C₄×C₇×#41	C₂²	1	2	yes	complemented
195	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
196	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	complemented
197	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	complemented
198	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
199	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
200	C₂×C₇×#117	C₂²	1	2	yes	—
201	C₂×C₇×#117	C₂²	1	2	yes	—
202	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
203	#62831	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
204	C₂×C₇×#41	C₂³	1	2	yes	—
205	C₂×C₇×#41	C₂³	1	2	yes	—
206	C₂×C₇×#41	C₂³	1	2	yes	—
207	C₂×C₇×#41	C₂³	1	4	yes	—
208	C₂×C₇×#41	C₂³	1	8	yes	—
209	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
210	C₂²×C₇×Q₈	C₂³	1	2	yes	—
211	C₂²×C₇×Q₈	C₂³	1	2	yes	—
212	C₂²×C₇×Q₈	C₂³	1	4	yes	—
213	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
214	C₂²×C₇×D₄	C₂³	1	2	yes	—
215	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₇	C₂³	1	2	yes	—
219	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
220	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
221	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
222	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
223	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
224	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
227	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
228	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
229	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
230	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
231	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
232	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
233	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
234	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
235	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
236	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
237	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
238	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
239	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
240	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
241	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
242	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
243	C₇×#127	C₂³	1	1	yes	characteristic
244	C₇×#127	C₂³	1	4	yes	—
245	C₇×#126	C₂³	1	4	yes	—
246	C₇×#126	C₂³	1	4	yes	—
247	C₇×#126	C₂³	1	4	yes	—
248	C₇×#126	C₂³	1	4	yes	—
249	C₇×#126	C₂³	1	4	yes	—
250	C₇×#126	C₂³	1	4	yes	—
251	C₇×#126	C₂³	1	8	yes	—
252	C₇×#126	C₂³	1	8	yes	—
253	C₇×#126	C₂³	1	8	yes	—
254	C₇×#126	C₂³	1	8	yes	—
255	C₇×#126	C₂³	1	8	yes	—
256	C₇×#126	C₂³	1	8	yes	—
257	C₇×#126	C₂³	1	8	yes	—
258	C₇×#126	C₂³	1	8	yes	—
259	C₇×#126	C₂³	1	8	yes	—
260	C₇×#126	C₂³	1	8	yes	—
261	C₇×#126	C₂³	1	8	yes	—
262	C₇×#126	C₂³	1	8	yes	—
263	C₇×#126	C₂³	1	8	yes	—
264	C₇×#125	C₂³	1	2	yes	—
265	C₇×#125	C₂³	1	2	yes	—
266	C₇×#125	C₂³	1	2	yes	—
267	C₇×#125	C₂³	1	2	yes	—
268	C₇×#125	C₂³	1	2	yes	—
269	C₇×#125	C₂³	1	2	yes	—
270	C₇×#125	C₂³	1	4	yes	—
271	C₇×#125	C₂³	1	4	yes	—
272	C₇×#125	C₂³	1	2	yes	—
273	C₇×#125	C₂³	1	2	yes	—
274	C₇×#125	C₂³	1	8	yes	—
275	C₇×#125	C₂³	1	8	yes	—
276	C₇×#125	C₂³	1	4	yes	—
277	C₇×#125	C₂³	1	4	yes	—
278	C₇×#125	C₂³	1	2	yes	—
279	C₇×#125	C₂³	1	2	yes	—
280	C₇×#125	C₂³	1	4	yes	—
281	C₇×#125	C₂³	1	4	yes	—
282	C₇×#125	C₂³	1	2	yes	—
283	C₇×#125	C₂³	1	4	yes	—
284	C₇×#125	C₂³	1	8	yes	—
285	C₇×#125	C₂³	1	8	yes	—
286	C₇×#125	C₂³	1	8	yes	—
287	C₇×#125	C₂³	1	8	yes	—
288	C₇×#125	C₂³	1	8	yes	—
289	C₇×#125	C₂³	1	8	yes	—
290	C₇×#125	C₂³	1	8	yes	—
291	C₇×#125	C₂³	1	8	yes	—
292	C₇×#125	C₂³	1	8	yes	—
293	C₇×#124	C₂³	1	2	yes	—
294	C₇×#124	C₂³	1	2	yes	—
295	C₇×#124	C₂³	1	2	yes	—
296	C₇×#124	C₂³	1	2	yes	—
297	C₇×#124	C₂³	1	2	yes	—
298	C₇×#124	C₂³	1	2	yes	—
299	C₇×#124	C₂³	1	4	yes	—
300	C₇×#124	C₂³	1	4	yes	—
301	C₇×#124	C₂³	1	2	yes	—
302	C₇×#124	C₂³	1	4	yes	—
303	C₇×#124	C₂³	1	8	yes	—
304	C₇×#124	C₂³	1	8	yes	—
305	C₇×#124	C₂³	1	8	yes	—
306	C₇×#124	C₂³	1	8	yes	—
307	C₇×#124	C₂³	1	8	yes	—
308	C₇×#124	C₂³	1	8	yes	—
309	C₇×#123	C₂³	1	4	yes	—
310	C₇×#123	C₂³	1	4	yes	—
311	C₇×#123	C₂³	1	4	yes	—
312	C₇×#123	C₂³	1	4	yes	—
313	C₇×#123	C₂³	1	4	yes	—
314	C₇×#123	C₂³	1	4	yes	—
315	C₇×#123	C₂³	1	4	yes	—
316	C₇×#123	C₂³	1	8	yes	—
317	C₇×#123	C₂³	1	8	yes	—
318	C₇×#123	C₂³	1	8	yes	—
319	C₇×#123	C₂³	1	8	yes	—
320	C₇×#123	C₂³	1	8	yes	—
321	C₇×#123	C₂³	1	8	yes	—
322	C₇×#123	C₂³	1	8	yes	—
323	C₇×#123	C₂³	1	8	yes	—
324	C₇×#123	C₂³	1	8	yes	—
325	C₇×#123	C₂³	1	8	yes	—
326	C₇×#123	C₂³	1	8	yes	—
327	C₇×#123	C₂³	1	8	yes	—
328	C₇×#123	C₂³	1	8	yes	—
329	C₇×#123	C₂³	1	8	yes	—
330	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
331	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
332	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
333	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
334	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
335	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
336	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
337	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
338	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
339	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
340	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
341	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
342	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
343	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
344	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
345	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
346	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
347	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
348	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
349	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
350	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
351	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
352	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
353	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
354	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
355	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
356	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
357	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
358	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
359	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
360	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
361	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
362	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
363	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
364	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
365	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
366	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
367	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
368	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
369	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
370	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
371	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
372	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
373	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
374	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
375	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
376	C₇×#121	C₂³	1	2	yes	—
377	C₇×#121	C₂³	1	2	yes	—
378	C₇×#121	C₂³	1	2	yes	—
379	C₇×#121	C₂³	1	2	yes	—
380	C₇×#121	C₂³	1	2	yes	—
381	C₇×#121	C₂³	1	2	yes	—
382	C₇×#121	C₂³	1	2	yes	—
383	C₇×#121	C₂³	1	2	yes	—
384	C₇×#121	C₂³	1	2	yes	—
385	C₇×#121	C₂³	1	2	yes	—
386	C₇×#121	C₂³	1	4	yes	—
387	C₇×#121	C₂³	1	4	yes	—
388	C₇×#121	C₂³	1	4	yes	—
389	C₇×#121	C₂³	1	8	yes	—
390	C₇×#121	C₂³	1	8	yes	—
391	C₇×#121	C₂³	1	8	yes	—
392	C₇×#121	C₂³	1	8	yes	—
393	C₇×#120	C₂³	1	4	yes	—
394	C₇×#120	C₂³	1	8	yes	—
395	C₄×C₇×Q₈	C₂³	1	2	yes	—
396	C₄×C₇×Q₈	C₂³	1	2	yes	—
397	C₄×C₇×Q₈	C₂³	1	2	yes	—
398	C₄×C₇×Q₈	C₂³	1	2	yes	—
399	C₄×C₇×Q₈	C₂³	1	2	yes	—
400	C₄×C₇×Q₈	C₂³	1	2	yes	—
401	C₄×C₇×Q₈	C₂³	1	4	yes	—
402	C₄×C₇×Q₈	C₂³	1	2	yes	—
403	C₄×C₇×Q₈	C₂³	1	2	yes	—
404	C₄×C₇×Q₈	C₂³	1	2	yes	—
405	C₄×C₇×Q₈	C₂³	1	4	yes	—
406	C₄×C₇×Q₈	C₂³	1	2	yes	—
407	C₄×C₇×Q₈	C₂³	1	4	yes	—
408	C₄×C₇×Q₈	C₂³	1	4	yes	—
409	C₄×C₇×Q₈	C₂³	1	2	yes	—
410	C₄×C₇×Q₈	C₂³	1	2	yes	—
411	C₄×C₇×Q₈	C₂³	1	2	yes	—
412	C₄×C₇×Q₈	C₂³	1	2	yes	—
413	C₄×C₇×Q₈	C₂³	1	2	yes	—
414	C₄×C₇×Q₈	C₂³	1	2	yes	—
415	C₄×C₇×Q₈	C₂³	1	2	yes	—
416	C₄×C₇×Q₈	C₂³	1	2	yes	—
417	C₄×C₇×Q₈	C₂³	1	4	yes	—
418	C₄×C₇×Q₈	C₂³	1	4	yes	—
419	C₄×C₇×Q₈	C₂³	1	4	yes	—
420	C₄×C₇×Q₈	C₂³	1	4	yes	—
421	C₄×C₇×Q₈	C₂³	1	4	yes	—
422	C₄×C₇×Q₈	C₂³	1	4	yes	—
423	C₄×C₇×Q₈	C₂³	1	8	yes	—
424	C₄×C₇×Q₈	C₂³	1	8	yes	—
425	C₄×C₇×Q₈	C₂³	1	4	yes	—
426	C₄×C₇×Q₈	C₂³	1	4	yes	—
427	C₄×C₇×Q₈	C₂³	1	4	yes	—
428	C₄×C₇×Q₈	C₂³	1	8	yes	—
429	C₄×C₇×Q₈	C₂³	1	8	yes	—
430	C₄×C₇×D₄	C₂³	1	4	yes	—
431	C₄×C₇×D₄	C₂³	1	4	yes	—
432	C₄×C₇×D₄	C₂³	1	4	yes	—
433	C₄×C₇×D₄	C₂³	1	4	yes	—
434	C₄×C₇×D₄	C₂³	1	2	yes	—
435	C₄×C₇×D₄	C₂³	1	2	yes	—
436	C₄×C₇×D₄	C₂³	1	2	yes	—
437	C₄×C₇×D₄	C₂³	1	2	yes	—
438	C₄×C₇×D₄	C₂³	1	4	yes	—
439	C₄×C₇×D₄	C₂³	1	4	yes	—
440	C₄×C₇×D₄	C₂³	1	2	yes	—
441	C₄×C₇×D₄	C₂³	1	2	yes	—
442	C₄×C₇×D₄	C₂³	1	4	yes	—
443	C₄×C₇×D₄	C₂³	1	2	yes	—
444	C₄×C₇×D₄	C₂³	1	4	yes	—
445	C₄×C₇×D₄	C₂³	1	4	yes	—
446	C₄×C₇×D₄	C₂³	1	4	yes	—
447	C₄×C₇×D₄	C₂³	1	2	yes	—
448	C₄×C₇×D₄	C₂³	1	2	yes	—
449	C₄×C₇×D₄	C₂³	1	2	yes	—
450	C₄×C₇×D₄	C₂³	1	4	yes	—
451	C₄×C₇×D₄	C₂³	1	4	yes	—
452	C₄×C₇×D₄	C₂³	1	4	yes	—
453	C₄×C₇×D₄	C₂³	1	4	yes	—
454	C₄×C₇×D₄	C₂³	1	8	yes	—
455	C₄×C₇×D₄	C₂³	1	8	yes	—
456	C₄×C₇×D₄	C₂³	1	4	yes	—
457	C₄×C₇×D₄	C₂³	1	4	yes	—
458	C₄×C₇×D₄	C₂³	1	8	yes	—
459	C₄×C₇×D₄	C₂³	1	8	yes	—
460	C₄×C₇×D₄	C₂³	1	4	yes	—
461	C₄×C₇×D₄	C₂³	1	8	yes	—
462	C₄×C₇×D₄	C₂³	1	8	yes	—
463	C₄×C₇×D₄	C₂³	1	8	yes	—
464	C₄×C₇×D₄	C₂³	1	8	yes	—
465	C₇×#117	C₂³	1	2	yes	—
466	C₇×#117	C₂³	1	2	yes	—
467	C₇×#117	C₂³	1	4	yes	—
468	C₇×#117	C₂³	1	4	yes	—
469	C₇×#117	C₂³	1	4	yes	—
470	C₇×#117	C₂³	1	4	yes	—
471	C₇×#117	C₂³	1	4	yes	—
472	C₇×#117	C₂³	1	4	yes	—
473	C₇×#117	C₂³	1	2	yes	—
474	C₇×#117	C₂³	1	2	yes	—
475	C₇×#117	C₂³	1	2	yes	—
476	C₇×#117	C₂³	1	4	yes	—
477	C₇×#117	C₂³	1	2	yes	—
478	C₇×#117	C₂³	1	2	yes	—
479	C₇×#117	C₂³	1	4	yes	—
480	C₇×#117	C₂³	1	4	yes	—
481	C₇×#117	C₂³	1	8	yes	—
482	C₇×#117	C₂³	1	4	yes	—
483	C₇×#117	C₂³	1	8	yes	—
484	C₇×#117	C₂³	1	8	yes	—
485	C₇×#117	C₂³	1	4	yes	—
486	C₇×#117	C₂³	1	4	yes	—
487	C₇×#117	C₂³	1	8	yes	—
488	C₇×#117	C₂³	1	8	yes	—
489	C₇×#117	C₂³	1	8	yes	—
490	C₇×#117	C₂³	1	8	yes	—
491	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
492	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
493	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
494	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
495	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
496	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
497	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
498	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
499	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
500	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
501	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
502	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
503	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
504	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
505	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
506	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
507	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
508	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
509	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
510	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
511	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
512	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
513	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
514	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
515	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
516	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
517	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
518	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
519	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
520	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
521	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
522	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
523	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
524	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
525	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
526	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
527	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
528	C₂×C₄²×C₇	C₂³	1	2	yes	—
529	C₂×C₄²×C₇	C₂³	1	4	yes	—
530	C₂×C₄²×C₇	C₂³	1	4	yes	—
531	#3565	C₂×C₇	1	4	yes	complemented
532	#3564	C₂×C₇	1	4	yes	complemented
533	#3557	C₂×C₇	1	4	yes	complemented
534	#3555	C₂×C₇	1	2	yes	complemented
535	#3554	C₂×C₇	1	2	yes	complemented
536	#3552	C₂×C₇	1	2	yes	complemented
537	#3544	C₂×C₇	1	2	yes	complemented
538	#3535	C₂×C₇	1	4	yes	complemented
539	#3523	C₂×C₇	1	2	yes	complemented
540	#3522	C₂×C₇	1	2	yes	complemented
541	#3520	C₂×C₇	1	4	yes	complemented
542	#3518	C₂×C₇	1	2	yes	complemented
543	#3515	C₂×C₇	1	4	yes	complemented
544	#3515	C₂×C₇	1	2	yes	complemented
545	#3510	C₂×C₇	1	2	yes	complemented
546	#3507	C₂×C₇	1	1	yes	characteristic, complemented
547	#3507	C₂×C₇	1	4	yes	complemented
548	#3506	C₂×C₇	1	1	yes	characteristic, complemented
549	#3504	C₂×C₇	1	2	yes	complemented
550	#3502	C₂×C₇	1	1	yes	characteristic, complemented
551	#3501	C₂×C₇	1	1	yes	characteristic, complemented
552	#3495	C₂×C₇	1	2	yes	complemented
553	#3495	C₂×C₇	1	4	yes	complemented
554	#3494	C₂×C₇	1	2	yes	complemented
555	#3444	C₂×C₇	1	1	yes	characteristic, complemented
556	C₂×#533	C₂×C₇	1	1	yes	characteristic, complemented
557	C₂×#529	C₂×C₇	1	1	yes	characteristic, complemented
558	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
559	C₂⁴×C₇	C₂⁴	1	2	yes	—
560	C₇×#41	—	2	8	no	—
561	C₇×#41	—	4	4	no	—
562	C₇×#41	—	4	16	no	—
563	C₇×#41	—	4	8	no	—
564	C₇×#41	—	4	4	no	—
565	C₂×C₇×Q₈	—	2	4	no	—
566	C₂×C₇×Q₈	—	4	4	no	—
567	C₂×C₇×Q₈	—	4	4	no	—
568	C₂×C₇×Q₈	—	4	8	no	—
569	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
570	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
571	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
572	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
573	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
574	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
575	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
576	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
577	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
578	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
579	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
580	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
581	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
582	C₂×C₇×D₄	—	2	4	no	—
583	C₂×C₇×D₄	—	4	4	no	—
584	C₂×C₇×D₄	C₂⁴	1	4	yes	—
585	C₂×C₇×D₄	C₂⁴	1	2	yes	—
586	C₂×C₇×D₄	C₂⁴	1	2	yes	—
587	C₂×C₇×D₄	C₂⁴	1	2	yes	—
588	C₂×C₇×D₄	C₂⁴	1	4	yes	—
589	C₂×C₇×D₄	C₂⁴	1	4	yes	—
590	C₂×C₇×D₄	C₂⁴	1	2	yes	—
591	C₂×C₇×D₄	C₂⁴	1	4	yes	—
592	C₂×C₇×D₄	C₂⁴	1	8	yes	—
593	C₂×C₇×D₄	C₂⁴	1	8	yes	—
594	C₂×C₇×D₄	C₂⁴	1	4	yes	—
595	C₂×C₇×D₄	C₂⁴	1	2	yes	—
596	C₂²×C₄×C₇	—	2	4	no	—
597	C₂²×C₄×C₇	—	4	2	no	—
598	C₂²×C₄×C₇	—	4	4	no	—
599	C₂²×C₄×C₇	—	4	2	no	—
600	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
601	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
602	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
603	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
604	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
605	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
606	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
607	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
608	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
609	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
610	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
611	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
612	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
613	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
614	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
615	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
616	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
617	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
618	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
619	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
620	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
621	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
622	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
623	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
624	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
625	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
626	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
627	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
628	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
629	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
630	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
631	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
632	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
633	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
634	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
635	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
636	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
637	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
638	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
639	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
640	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
641	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
642	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
643	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
644	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
645	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
646	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
647	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
648	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
649	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
650	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
651	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
652	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
653	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
654	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
655	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
656	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
657	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
658	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
659	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
660	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
661	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
662	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
663	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
664	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
665	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
666	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
667	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
668	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
669	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
670	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
671	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
672	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
673	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
674	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
675	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
676	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
677	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
678	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
679	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
680	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
681	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
682	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
683	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
684	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
685	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
686	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
687	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
688	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
689	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
690	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
691	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
692	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
693	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
694	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
695	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
696	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
697	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
698	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
699	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
700	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
701	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
702	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
703	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
704	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
705	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
706	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
707	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
708	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
709	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
710	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
711	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
712	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
713	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
714	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
715	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
716	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
717	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
718	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
719	C₄²×C₇	C₂⁴	1	1	yes	characteristic
720	C₄²×C₇	C₂⁴	1	1	yes	characteristic
721	C₄²×C₇	C₂⁴	1	1	yes	characteristic
722	C₄²×C₇	C₂⁴	1	1	yes	characteristic
723	C₄²×C₇	C₂⁴	1	1	yes	characteristic
724	C₄²×C₇	C₂⁴	1	1	yes	characteristic
725	C₄²×C₇	C₂⁴	1	1	yes	characteristic
726	C₄²×C₇	C₂⁴	1	1	yes	characteristic
727	C₄²×C₇	C₂⁴	1	1	yes	characteristic
728	C₄²×C₇	C₂⁴	1	1	yes	characteristic
729	C₄²×C₇	C₂⁴	1	1	yes	characteristic
730	C₄²×C₇	C₂⁴	1	1	yes	characteristic
731	C₄²×C₇	C₂⁴	1	1	yes	characteristic
732	C₄²×C₇	C₂⁴	1	1	yes	characteristic
733	C₄²×C₇	C₂⁴	1	1	yes	characteristic
734	C₄²×C₇	C₂⁴	1	1	yes	characteristic
735	C₄²×C₇	C₂⁴	1	4	yes	—
736	C₄²×C₇	C₂⁴	1	4	yes	—
737	C₄²×C₇	C₂⁴	1	4	yes	—
738	C₄²×C₇	C₂⁴	1	4	yes	—
739	C₄²×C₇	C₂⁴	1	4	yes	—
740	C₄²×C₇	C₂⁴	1	4	yes	—
741	C₄²×C₇	C₂⁴	1	4	yes	—
742	C₄²×C₇	C₂⁴	1	4	yes	—
743	C₄²×C₇	C₂⁴	1	4	yes	—
744	C₄²×C₇	C₂⁴	1	8	yes	—
745	C₄²×C₇	C₂⁴	1	8	yes	—
746	C₄²×C₇	C₂⁴	1	8	yes	—
747	C₄²×C₇	C₂⁴	1	8	yes	—
748	#563	C₂²×C₇	1	8	yes	complemented
749	#563	C₂²×C₇	1	8	yes	complemented
750	#563	C₂²×C₇	1	8	yes	complemented
751	#562	C₂²×C₇	1	8	yes	complemented
752	#559	C₂²×C₇	1	4	yes	complemented
753	#559	C₂²×C₇	1	4	yes	complemented
754	#559	C₂²×C₇	1	2	yes	complemented
755	#559	C₂²×C₇	1	4	yes	complemented
756	Q₈²	C₂²×C₇	1	2	yes	complemented
757	Q₈²	C₂²×C₇	1	2	yes	complemented
758	#557	C₂²×C₇	1	4	yes	complemented
759	#557	C₂²×C₇	1	2	yes	complemented
760	#557	C₂²×C₇	1	4	yes	complemented
761	#557	C₂²×C₇	1	2	yes	complemented
762	#557	C₂²×C₇	1	4	yes	complemented
763	#557	C₂²×C₇	1	4	yes	complemented
764	#557	C₂²×C₇	1	2	yes	complemented
765	#556	C₂²×C₇	1	8	yes	complemented
766	#556	C₂²×C₇	1	4	yes	complemented
767	#556	C₂²×C₇	1	2	yes	complemented
768	#556	C₂²×C₇	1	4	yes	complemented
769	#556	C₂²×C₇	1	4	yes	complemented
770	#556	C₂²×C₇	1	2	yes	complemented
771	#556	C₂²×C₇	1	8	yes	complemented
772	#556	C₂²×C₇	1	4	yes	complemented
773	#556	C₂²×C₇	1	4	yes	complemented
774	#555	C₂²×C₇	1	4	yes	—
775	#555	C₂²×C₇	1	2	yes	complemented
776	#554	C₂²×C₇	1	8	yes	—
777	#554	C₂²×C₇	1	8	yes	—
778	#554	C₂²×C₇	1	4	yes	complemented
779	#554	C₂²×C₇	1	4	yes	complemented
780	#554	C₂²×C₇	1	2	yes	complemented
781	#554	C₂²×C₇	1	4	yes	complemented
782	#554	C₂²×C₇	1	2	yes	complemented
783	#554	C₂²×C₇	1	4	yes	complemented
784	#554	C₂²×C₇	1	4	yes	complemented
785	#554	C₂²×C₇	1	2	yes	complemented
786	#553	C₂²×C₇	1	4	yes	—
787	#553	C₂²×C₇	1	4	yes	—
788	#553	C₂²×C₇	1	4	yes	complemented
789	#552	C₂²×C₇	1	8	yes	—
790	#552	C₂²×C₇	1	8	yes	complemented
791	#552	C₂²×C₇	1	4	yes	complemented
792	#552	C₂²×C₇	1	8	yes	complemented
793	#552	C₂²×C₇	1	8	yes	complemented
794	#552	C₂²×C₇	1	4	yes	complemented
795	#552	C₂²×C₇	1	8	yes	complemented
796	#552	C₂²×C₇	1	4	yes	complemented
797	#552	C₂²×C₇	1	4	yes	complemented
798	#552	C₂²×C₇	1	8	yes	complemented
799	#552	C₂²×C₇	1	4	yes	complemented
800	#551	C₂²×C₇	1	8	yes	—
801	#551	C₂²×C₇	1	8	yes	—
802	#551	C₂²×C₇	1	8	yes	—
803	#551	C₂²×C₇	1	8	yes	—
804	#550	C₂²×C₇	1	2	yes	complemented
805	D₄×Q₈	C₂²×C₇	1	2	yes	complemented
806	D₄×Q₈	C₂²×C₇	1	2	yes	complemented
807	D₄×Q₈	C₂²×C₇	1	4	yes	complemented
808	#548	C₂²×C₇	1	4	yes	complemented
809	#548	C₂²×C₇	1	4	yes	complemented
810	#547	C₂²×C₇	1	4	yes	—
811	#547	C₂²×C₇	1	2	yes	complemented
812	#547	C₂²×C₇	1	4	yes	complemented
813	#547	C₂²×C₇	1	8	yes	complemented
814	#547	C₂²×C₇	1	4	yes	complemented
815	#546	C₂²×C₇	1	8	yes	—
816	#544	C₂²×C₇	1	2	yes	—
817	#544	C₂²×C₇	1	2	yes	—
818	#544	C₂²×C₇	1	4	yes	—
819	#544	C₂²×C₇	1	4	yes	complemented
820	#544	C₂²×C₇	1	4	yes	complemented
821	#544	C₂²×C₇	1	4	yes	complemented
822	#543	C₂²×C₇	1	4	yes	—
823	#542	C₂²×C₇	1	4	yes	—
824	#542	C₂²×C₇	1	4	yes	complemented
825	#542	C₂²×C₇	1	4	yes	complemented
826	#542	C₂²×C₇	1	4	yes	complemented
827	#542	C₂²×C₇	1	4	yes	complemented
828	#542	C₂²×C₇	1	4	yes	complemented
829	#542	C₂²×C₇	1	8	yes	complemented
830	#542	C₂²×C₇	1	8	yes	complemented
831	#542	C₂²×C₇	1	8	yes	complemented
832	#541	C₂²×C₇	1	4	yes	complemented
833	#541	C₂²×C₇	1	4	yes	complemented
834	#541	C₂²×C₇	1	4	yes	complemented
835	#541	C₂²×C₇	1	8	yes	complemented
836	#541	C₂²×C₇	1	8	yes	complemented
837	#540	C₂²×C₇	1	4	yes	—
838	#539	C₂²×C₇	1	4	yes	—
839	#539	C₂²×C₇	1	8	yes	complemented
840	#539	C₂²×C₇	1	8	yes	complemented
841	#539	C₂²×C₇	1	8	yes	complemented
842	#539	C₂²×C₇	1	8	yes	complemented
843	#539	C₂²×C₇	1	8	yes	complemented
844	#538	C₂²×C₇	1	4	yes	—
845	#536	C₂²×C₇	1	2	yes	—
846	#536	C₂²×C₇	1	4	yes	complemented
847	#536	C₂²×C₇	1	8	yes	complemented
848	#535	C₂²×C₇	1	2	yes	—
849	#533	C₂²×C₇	1	2	yes	—
850	#533	C₂²×C₇	1	1	yes	characteristic
851	#533	C₂²×C₇	1	1	yes	characteristic
852	#533	C₂²×C₇	1	2	yes	—
853	#533	C₂²×C₇	1	2	yes	—
854	#533	C₂²×C₇	1	1	yes	characteristic
855	#533	C₂²×C₇	1	4	yes	—
856	#533	C₂²×C₇	1	1	yes	characteristic, complemented
857	#533	C₂²×C₇	1	1	yes	characteristic, complemented
858	#533	C₂²×C₇	1	2	yes	complemented
859	#533	C₂²×C₇	1	2	yes	complemented
860	#533	C₂²×C₇	1	2	yes	complemented
861	#533	C₂²×C₇	1	1	yes	characteristic, complemented
862	#533	C₂²×C₇	1	1	yes	characteristic, complemented
863	#533	C₂²×C₇	1	4	yes	complemented
864	#533	C₂²×C₇	1	4	yes	complemented
865	#532	C₂²×C₇	1	1	yes	characteristic
866	#532	C₂²×C₇	1	4	yes	—
867	#532	C₂²×C₇	1	1	yes	characteristic, complemented
868	#532	C₂²×C₇	1	1	yes	characteristic, complemented
869	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
870	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
871	#529	C₂²×C₇	1	2	yes	—
872	#529	C₂²×C₇	1	2	yes	—
873	#529	C₂²×C₇	1	2	yes	—
874	#529	C₂²×C₇	1	2	yes	—
875	#529	C₂²×C₇	1	2	yes	—
876	#529	C₂²×C₇	1	2	yes	—
877	#529	C₂²×C₇	1	2	yes	—
878	#529	C₂²×C₇	1	2	yes	—
879	#529	C₂²×C₇	1	2	yes	—
880	#529	C₂²×C₇	1	2	yes	—
881	#529	C₂²×C₇	1	4	yes	—
882	#529	C₂²×C₇	1	4	yes	—
883	#529	C₂²×C₇	1	2	yes	complemented
884	#529	C₂²×C₇	1	2	yes	complemented
885	#529	C₂²×C₇	1	2	yes	complemented
886	#529	C₂²×C₇	1	2	yes	complemented
887	#529	C₂²×C₇	1	4	yes	complemented
888	#529	C₂²×C₇	1	4	yes	complemented
889	#529	C₂²×C₇	1	4	yes	complemented
890	C₂×#126	C₂²×C₇	1	2	yes	—
891	C₂×#125	C₂²×C₇	1	1	yes	characteristic
892	C₂×#125	C₂²×C₇	1	2	yes	complemented
893	C₂×#125	C₂²×C₇	1	4	yes	complemented
894	C₂×#124	C₂²×C₇	1	1	yes	characteristic
895	#525	C₂²×C₇	1	2	yes	—
896	#525	C₂²×C₇	1	2	yes	—
897	#525	C₂²×C₇	1	2	yes	—
898	#525	C₂²×C₇	1	4	yes	—
899	C₂×#123	C₂²×C₇	1	2	yes	—
900	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
901	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
902	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
903	C₂×C₂²⋊Q₈	C₂²×C₇	1	4	yes	—
904	C₂×#121	C₂²×C₇	1	1	yes	characteristic
905	#520	C₂²×C₇	1	2	yes	—
906	#520	C₂²×C₇	1	2	yes	—
907	#520	C₂²×C₇	1	4	yes	complemented
908	#520	C₂²×C₇	1	8	yes	complemented
909	#519	C₂²×C₇	1	2	yes	—
910	#519	C₂²×C₇	1	4	yes	complemented
911	#518	C₂²×C₇	1	2	yes	—
912	C₄×#41	C₂²×C₇	1	2	yes	—
913	C₄×#41	C₂²×C₇	1	2	yes	complemented
914	C₄×#41	C₂²×C₇	1	2	yes	complemented
915	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
916	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	complemented
917	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	complemented
918	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
919	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
920	C₂×#117	C₂²×C₇	1	2	yes	—
921	C₂×#117	C₂²×C₇	1	2	yes	—
922	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
923	C₂³×C₇	—	2	2	no	—
924	C₂³×C₇	—	2	2	no	—
925	C₂³×C₇	—	2	4	no	—
926	C₂³×C₇	—	4	1	no	—
927	C₂³×C₇	—	4	2	no	—
928	C₂³×C₇	—	4	2	no	—
929	C₂³×C₇	C₂⁵	1	1	yes	characteristic
930	C₂³×C₇	C₂⁵	1	4	yes	—
931	C₂³×C₇	C₂⁵	1	4	yes	—
932	C₂³×C₇	C₂⁵	1	1	yes	characteristic
933	C₂³×C₇	C₂⁵	1	1	yes	characteristic
934	C₇×Q₈	—	2	4	no	—
935	C₇×Q₈	—	2	4	no	—
936	C₇×Q₈	—	2	4	no	—
937	C₇×Q₈	—	2	4	no	—
938	C₇×Q₈	—	2	4	no	—
939	C₇×Q₈	—	2	4	no	—
940	C₇×Q₈	—	4	2	no	—
941	C₇×Q₈	—	4	4	no	—
942	C₇×Q₈	—	4	8	no	—
943	C₇×Q₈	—	4	2	no	—
944	C₇×Q₈	—	4	4	no	—
945	C₇×Q₈	—	4	2	no	—
946	C₇×Q₈	—	4	8	no	—
947	C₇×D₄	—	2	8	no	—
948	C₇×D₄	—	2	8	no	—
949	C₇×D₄	—	2	8	no	—
950	C₇×D₄	—	2	4	no	—
951	C₇×D₄	—	2	4	no	—
952	C₇×D₄	—	2	4	no	—
953	C₇×D₄	—	2	4	no	—
954	C₇×D₄	—	4	4	no	—
955	C₇×D₄	—	4	2	no	—
956	C₇×D₄	—	4	8	no	—
957	C₇×D₄	—	4	8	no	—
958	C₇×D₄	—	4	4	no	—
959	C₂×C₄×C₇	—	2	2	no	—
960	C₂×C₄×C₇	—	2	4	no	—
961	C₂×C₄×C₇	—	2	2	no	—
962	C₂×C₄×C₇	—	2	2	no	—
963	C₂×C₄×C₇	—	2	8	no	—
964	C₂×C₄×C₇	—	2	2	no	—
965	C₂×C₄×C₇	—	2	2	no	—
966	C₂×C₄×C₇	—	2	2	no	—
967	C₂×C₄×C₇	—	2	2	no	—
968	C₂×C₄×C₇	—	2	8	no	—
969	C₂×C₄×C₇	—	2	2	no	—
970	C₂×C₄×C₇	—	2	2	no	—
971	C₂×C₄×C₇	—	2	8	no	—
972	C₂×C₄×C₇	—	2	2	no	—
973	C₂×C₄×C₇	—	4	1	no	—
974	C₂×C₄×C₇	—	4	4	no	—
975	C₂×C₄×C₇	—	4	1	no	—
976	C₂×C₄×C₇	—	4	1	no	—
977	C₂×C₄×C₇	—	4	1	no	—
978	C₂×C₄×C₇	—	4	1	no	—
979	C₂×C₄×C₇	—	4	2	no	—
980	C₂×C₄×C₇	—	4	1	no	—
981	C₂×C₄×C₇	—	4	1	no	—
982	C₂×C₄×C₇	—	4	2	no	—
983	C₂×C₄×C₇	—	4	4	no	—
984	C₂×C₄×C₇	—	4	8	no	—
985	C₂×C₄×C₇	—	4	4	no	—
986	C₂×C₄×C₇	—	4	4	no	—
987	C₂×C₄×C₇	—	4	8	no	—
988	C₂×C₄×C₇	—	4	8	no	—
989	C₂×C₄×C₇	—	4	8	no	—
990	C₂×C₄×C₇	2₋¹⁺⁴	1	4	yes	—
991	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
992	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
993	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
994	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
995	C₂×C₄×C₇	C₂⁵	1	4	yes	—
996	C₂×C₄×C₇	C₂⁵	1	4	yes	—
997	C₂×C₄×C₇	C₂⁵	1	4	yes	—
998	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
999	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1000	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1001	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1002	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1003	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1004	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1005	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1006	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1007	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1008	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1009	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1010	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1011	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1012	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1013	C₂×#41	C₂³×C₇	1	2	yes	—
1014	C₂×#41	C₂³×C₇	1	2	yes	—
1015	C₂×#41	C₂³×C₇	1	2	yes	—
1016	C₂×#41	C₂³×C₇	1	4	yes	—
1017	C₂×#41	C₂³×C₇	1	8	yes	—
1018	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1019	C₂²×Q₈	C₂³×C₇	1	2	yes	—
1020	C₂²×Q₈	C₂³×C₇	1	2	yes	—
1021	C₂²×Q₈	C₂³×C₇	1	4	yes	—
1022	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1023	C₂²×D₄	C₂³×C₇	1	2	yes	—
1024	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
1025	C₂³×C₄	C₂³×C₇	1	2	yes	—
1026	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
1027	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
1028	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
1029	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
1030	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
1031	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
1032	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1033	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1034	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1035	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1036	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
1037	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
1038	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1039	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
1040	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1041	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1042	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
1043	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
1044	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
1045	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
1046	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
1047	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
1048	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
1049	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
1050	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
1051	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
1052	#127	C₂³×C₇	1	1	yes	characteristic
1053	#127	C₂³×C₇	1	4	yes	—
1054	#126	C₂³×C₇	1	4	yes	—
1055	#126	C₂³×C₇	1	4	yes	—
1056	#126	C₂³×C₇	1	4	yes	—
1057	#126	C₂³×C₇	1	4	yes	—
1058	#126	C₂³×C₇	1	4	yes	—
1059	#126	C₂³×C₇	1	4	yes	—
1060	#126	C₂³×C₇	1	8	yes	—
1061	#126	C₂³×C₇	1	8	yes	—
1062	#126	C₂³×C₇	1	8	yes	—
1063	#126	C₂³×C₇	1	8	yes	—
1064	#126	C₂³×C₇	1	8	yes	—
1065	#126	C₂³×C₇	1	8	yes	—
1066	#126	C₂³×C₇	1	8	yes	—
1067	#126	C₂³×C₇	1	8	yes	—
1068	#126	C₂³×C₇	1	8	yes	—
1069	#126	C₂³×C₇	1	8	yes	—
1070	#126	C₂³×C₇	1	8	yes	—
1071	#126	C₂³×C₇	1	8	yes	—
1072	#126	C₂³×C₇	1	8	yes	—
1073	#125	C₂³×C₇	1	2	yes	—
1074	#125	C₂³×C₇	1	2	yes	—
1075	#125	C₂³×C₇	1	2	yes	—
1076	#125	C₂³×C₇	1	2	yes	—
1077	#125	C₂³×C₇	1	2	yes	—
1078	#125	C₂³×C₇	1	2	yes	—
1079	#125	C₂³×C₇	1	4	yes	—
1080	#125	C₂³×C₇	1	4	yes	—
1081	#125	C₂³×C₇	1	2	yes	—
1082	#125	C₂³×C₇	1	2	yes	—
1083	#125	C₂³×C₇	1	8	yes	—
1084	#125	C₂³×C₇	1	8	yes	—
1085	#125	C₂³×C₇	1	4	yes	—
1086	#125	C₂³×C₇	1	4	yes	—
1087	#125	C₂³×C₇	1	2	yes	—
1088	#125	C₂³×C₇	1	2	yes	—
1089	#125	C₂³×C₇	1	4	yes	—
1090	#125	C₂³×C₇	1	4	yes	—
1091	#125	C₂³×C₇	1	2	yes	—
1092	#125	C₂³×C₇	1	4	yes	—
1093	#125	C₂³×C₇	1	8	yes	—
1094	#125	C₂³×C₇	1	8	yes	—
1095	#125	C₂³×C₇	1	8	yes	—
1096	#125	C₂³×C₇	1	8	yes	—
1097	#125	C₂³×C₇	1	8	yes	—
1098	#125	C₂³×C₇	1	8	yes	—
1099	#125	C₂³×C₇	1	8	yes	—
1100	#125	C₂³×C₇	1	8	yes	—
1101	#125	C₂³×C₇	1	8	yes	—
1102	#124	C₂³×C₇	1	2	yes	—
1103	#124	C₂³×C₇	1	2	yes	—
1104	#124	C₂³×C₇	1	2	yes	—
1105	#124	C₂³×C₇	1	2	yes	—
1106	#124	C₂³×C₇	1	2	yes	—
1107	#124	C₂³×C₇	1	2	yes	—
1108	#124	C₂³×C₇	1	4	yes	—
1109	#124	C₂³×C₇	1	4	yes	—
1110	#124	C₂³×C₇	1	2	yes	—
1111	#124	C₂³×C₇	1	4	yes	—
1112	#124	C₂³×C₇	1	8	yes	—
1113	#124	C₂³×C₇	1	8	yes	—
1114	#124	C₂³×C₇	1	8	yes	—
1115	#124	C₂³×C₇	1	8	yes	—
1116	#124	C₂³×C₇	1	8	yes	—
1117	#124	C₂³×C₇	1	8	yes	—
1118	#123	C₂³×C₇	1	4	yes	—
1119	#123	C₂³×C₇	1	4	yes	—
1120	#123	C₂³×C₇	1	4	yes	—
1121	#123	C₂³×C₇	1	4	yes	—
1122	#123	C₂³×C₇	1	4	yes	—
1123	#123	C₂³×C₇	1	4	yes	—
1124	#123	C₂³×C₇	1	4	yes	—
1125	#123	C₂³×C₇	1	8	yes	—
1126	#123	C₂³×C₇	1	8	yes	—
1127	#123	C₂³×C₇	1	8	yes	—
1128	#123	C₂³×C₇	1	8	yes	—
1129	#123	C₂³×C₇	1	8	yes	—
1130	#123	C₂³×C₇	1	8	yes	—
1131	#123	C₂³×C₇	1	8	yes	—
1132	#123	C₂³×C₇	1	8	yes	—
1133	#123	C₂³×C₇	1	8	yes	—
1134	#123	C₂³×C₇	1	8	yes	—
1135	#123	C₂³×C₇	1	8	yes	—
1136	#123	C₂³×C₇	1	8	yes	—
1137	#123	C₂³×C₇	1	8	yes	—
1138	#123	C₂³×C₇	1	8	yes	—
1139	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1140	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1141	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1142	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1143	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1144	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1145	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1146	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1147	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1148	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1149	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1150	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1151	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1152	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1153	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1154	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1155	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1156	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1157	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1158	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1159	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1160	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1161	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1162	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1163	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1164	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1165	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1166	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1167	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1168	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1169	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1170	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1171	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1172	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1173	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1174	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1175	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1176	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1177	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1178	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1179	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1180	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1181	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1182	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1183	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1184	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1185	#121	C₂³×C₇	1	2	yes	—
1186	#121	C₂³×C₇	1	2	yes	—
1187	#121	C₂³×C₇	1	2	yes	—
1188	#121	C₂³×C₇	1	2	yes	—
1189	#121	C₂³×C₇	1	2	yes	—
1190	#121	C₂³×C₇	1	2	yes	—
1191	#121	C₂³×C₇	1	2	yes	—
1192	#121	C₂³×C₇	1	2	yes	—
1193	#121	C₂³×C₇	1	2	yes	—
1194	#121	C₂³×C₇	1	2	yes	—
1195	#121	C₂³×C₇	1	4	yes	—
1196	#121	C₂³×C₇	1	4	yes	—
1197	#121	C₂³×C₇	1	4	yes	—
1198	#121	C₂³×C₇	1	8	yes	—
1199	#121	C₂³×C₇	1	8	yes	—
1200	#121	C₂³×C₇	1	8	yes	—
1201	#121	C₂³×C₇	1	8	yes	—
1202	#120	C₂³×C₇	1	4	yes	—
1203	#120	C₂³×C₇	1	8	yes	—
1204	C₄×Q₈	C₂³×C₇	1	2	yes	—
1205	C₄×Q₈	C₂³×C₇	1	2	yes	—
1206	C₄×Q₈	C₂³×C₇	1	2	yes	—
1207	C₄×Q₈	C₂³×C₇	1	2	yes	—
1208	C₄×Q₈	C₂³×C₇	1	2	yes	—
1209	C₄×Q₈	C₂³×C₇	1	2	yes	—
1210	C₄×Q₈	C₂³×C₇	1	4	yes	—
1211	C₄×Q₈	C₂³×C₇	1	2	yes	—
1212	C₄×Q₈	C₂³×C₇	1	2	yes	—
1213	C₄×Q₈	C₂³×C₇	1	2	yes	—
1214	C₄×Q₈	C₂³×C₇	1	4	yes	—
1215	C₄×Q₈	C₂³×C₇	1	2	yes	—
1216	C₄×Q₈	C₂³×C₇	1	4	yes	—
1217	C₄×Q₈	C₂³×C₇	1	4	yes	—
1218	C₄×Q₈	C₂³×C₇	1	2	yes	—
1219	C₄×Q₈	C₂³×C₇	1	2	yes	—
1220	C₄×Q₈	C₂³×C₇	1	2	yes	—
1221	C₄×Q₈	C₂³×C₇	1	2	yes	—
1222	C₄×Q₈	C₂³×C₇	1	2	yes	—
1223	C₄×Q₈	C₂³×C₇	1	2	yes	—
1224	C₄×Q₈	C₂³×C₇	1	2	yes	—
1225	C₄×Q₈	C₂³×C₇	1	2	yes	—
1226	C₄×Q₈	C₂³×C₇	1	4	yes	—
1227	C₄×Q₈	C₂³×C₇	1	4	yes	—
1228	C₄×Q₈	C₂³×C₇	1	4	yes	—
1229	C₄×Q₈	C₂³×C₇	1	4	yes	—
1230	C₄×Q₈	C₂³×C₇	1	4	yes	—
1231	C₄×Q₈	C₂³×C₇	1	4	yes	—
1232	C₄×Q₈	C₂³×C₇	1	8	yes	—
1233	C₄×Q₈	C₂³×C₇	1	8	yes	—
1234	C₄×Q₈	C₂³×C₇	1	4	yes	—
1235	C₄×Q₈	C₂³×C₇	1	4	yes	—
1236	C₄×Q₈	C₂³×C₇	1	4	yes	—
1237	C₄×Q₈	C₂³×C₇	1	8	yes	—
1238	C₄×Q₈	C₂³×C₇	1	8	yes	—
1239	C₄×D₄	C₂³×C₇	1	4	yes	—
1240	C₄×D₄	C₂³×C₇	1	4	yes	—
1241	C₄×D₄	C₂³×C₇	1	4	yes	—
1242	C₄×D₄	C₂³×C₇	1	4	yes	—
1243	C₄×D₄	C₂³×C₇	1	2	yes	—
1244	C₄×D₄	C₂³×C₇	1	2	yes	—
1245	C₄×D₄	C₂³×C₇	1	2	yes	—
1246	C₄×D₄	C₂³×C₇	1	2	yes	—
1247	C₄×D₄	C₂³×C₇	1	4	yes	—
1248	C₄×D₄	C₂³×C₇	1	4	yes	—
1249	C₄×D₄	C₂³×C₇	1	2	yes	—
1250	C₄×D₄	C₂³×C₇	1	2	yes	—
1251	C₄×D₄	C₂³×C₇	1	4	yes	—
1252	C₄×D₄	C₂³×C₇	1	2	yes	—
1253	C₄×D₄	C₂³×C₇	1	4	yes	—
1254	C₄×D₄	C₂³×C₇	1	4	yes	—
1255	C₄×D₄	C₂³×C₇	1	4	yes	—
1256	C₄×D₄	C₂³×C₇	1	2	yes	—
1257	C₄×D₄	C₂³×C₇	1	2	yes	—
1258	C₄×D₄	C₂³×C₇	1	2	yes	—
1259	C₄×D₄	C₂³×C₇	1	4	yes	—
1260	C₄×D₄	C₂³×C₇	1	4	yes	—
1261	C₄×D₄	C₂³×C₇	1	4	yes	—
1262	C₄×D₄	C₂³×C₇	1	4	yes	—
1263	C₄×D₄	C₂³×C₇	1	8	yes	—
1264	C₄×D₄	C₂³×C₇	1	8	yes	—
1265	C₄×D₄	C₂³×C₇	1	4	yes	—
1266	C₄×D₄	C₂³×C₇	1	4	yes	—
1267	C₄×D₄	C₂³×C₇	1	8	yes	—
1268	C₄×D₄	C₂³×C₇	1	8	yes	—
1269	C₄×D₄	C₂³×C₇	1	4	yes	—
1270	C₄×D₄	C₂³×C₇	1	8	yes	—
1271	C₄×D₄	C₂³×C₇	1	8	yes	—
1272	C₄×D₄	C₂³×C₇	1	8	yes	—
1273	C₄×D₄	C₂³×C₇	1	8	yes	—
1274	#117	C₂³×C₇	1	2	yes	—
1275	#117	C₂³×C₇	1	2	yes	—
1276	#117	C₂³×C₇	1	4	yes	—
1277	#117	C₂³×C₇	1	4	yes	—
1278	#117	C₂³×C₇	1	4	yes	—
1279	#117	C₂³×C₇	1	4	yes	—
1280	#117	C₂³×C₇	1	4	yes	—
1281	#117	C₂³×C₇	1	4	yes	—
1282	#117	C₂³×C₇	1	2	yes	—
1283	#117	C₂³×C₇	1	2	yes	—
1284	#117	C₂³×C₇	1	2	yes	—
1285	#117	C₂³×C₇	1	4	yes	—
1286	#117	C₂³×C₇	1	2	yes	—
1287	#117	C₂³×C₇	1	2	yes	—
1288	#117	C₂³×C₇	1	4	yes	—
1289	#117	C₂³×C₇	1	4	yes	—
1290	#117	C₂³×C₇	1	8	yes	—
1291	#117	C₂³×C₇	1	4	yes	—
1292	#117	C₂³×C₇	1	8	yes	—
1293	#117	C₂³×C₇	1	8	yes	—
1294	#117	C₂³×C₇	1	4	yes	—
1295	#117	C₂³×C₇	1	4	yes	—
1296	#117	C₂³×C₇	1	8	yes	—
1297	#117	C₂³×C₇	1	8	yes	—
1298	#117	C₂³×C₇	1	8	yes	—
1299	#117	C₂³×C₇	1	8	yes	—
1300	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1301	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1302	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1303	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1304	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1305	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1306	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1307	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1308	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1309	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1310	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1311	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1312	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1313	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1314	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
1315	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1316	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
1317	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
1318	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1319	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1320	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1321	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1322	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1323	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1324	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1325	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1326	C₂×C₄²	C₂³×C₇	1	2	yes	—
1327	C₂×C₄²	C₂³×C₇	1	4	yes	—
1328	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1329	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1330	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1331	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1332	C₂×C₄²	C₂³×C₇	1	4	yes	—
1333	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1334	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1335	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1336	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1337	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1338	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1339	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1340	C₂²×C₇	—	2	1	no	—
1341	C₂²×C₇	—	2	1	no	—
1342	C₂²×C₇	—	2	1	no	—
1343	C₂²×C₇	—	2	1	no	—
1344	C₂²×C₇	—	2	1	no	—
1345	C₂²×C₇	—	2	4	no	—
1346	C₂²×C₇	—	2	4	no	—
1347	C₂²×C₇	—	2	4	no	—
1348	C₂²×C₇	—	2	1	no	—
1349	C₂²×C₇	—	2	4	no	—
1350	C₂²×C₇	—	2	4	no	—
1351	C₂²×C₇	—	2	4	no	—
1352	C₂²×C₇	—	2	1	no	—
1353	C₂²×C₇	—	4	4	no	—
1354	C₂²×C₇	—	8	4	no	—
1355	C₂²×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
1356	C₂²×C₇	#585	1	2	yes	—
1357	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1358	C₄×C₇	—	2	1	no	—
1359	C₄×C₇	—	2	1	no	—
1360	C₄×C₇	—	2	4	no	—
1361	C₄×C₇	—	2	4	no	—
1362	C₄×C₇	—	2	1	no	—
1363	C₄×C₇	—	2	1	no	—
1364	C₄×C₇	—	2	1	no	—
1365	C₄×C₇	—	2	4	no	—
1366	C₄×C₇	—	2	4	no	—
1367	C₄×C₇	—	2	1	no	—
1368	C₄×C₇	—	2	1	no	—
1369	C₄×C₇	—	2	1	no	—
1370	C₄×C₇	—	2	1	no	—
1371	C₄×C₇	—	2	4	no	—
1372	C₄×C₇	—	2	4	no	—
1373	C₄×C₇	—	2	4	no	—
1374	C₄×C₇	—	2	4	no	—
1375	C₄×C₇	—	2	4	no	—
1376	C₄×C₇	—	2	4	no	—
1377	C₄×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
1378	C₄×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
1379	C₄×C₇	#585	1	2	yes	—
1380	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1381	C₂⁴	C₂⁴×C₇	1	2	yes	—
1382	#41	—	2	8	no	—
1383	#41	—	4	4	no	—
1384	#41	—	4	16	no	—
1385	#41	—	4	8	no	—
1386	#41	—	4	4	no	—
1387	C₂×Q₈	—	2	4	no	—
1388	C₂×Q₈	—	4	4	no	—
1389	C₂×Q₈	—	4	4	no	—
1390	C₂×Q₈	—	4	8	no	—
1391	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1392	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1393	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1394	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1395	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1396	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1397	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1398	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1399	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1400	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1401	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1402	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1403	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1404	C₂×D₄	—	2	4	no	—
1405	C₂×D₄	—	4	4	no	—
1406	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1407	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1408	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1409	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1410	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1411	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1412	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1413	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1414	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1415	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1416	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1417	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1418	C₂²×C₄	—	2	4	no	—
1419	C₂²×C₄	—	4	2	no	—
1420	C₂²×C₄	—	4	4	no	—
1421	C₂²×C₄	—	4	2	no	—
1422	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1423	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1424	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1425	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1426	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1427	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1428	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1429	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1430	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1431	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1432	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1433	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1434	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1435	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1436	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1437	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1438	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1439	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1440	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1441	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1442	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1443	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1444	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1445	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1446	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1447	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1448	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1449	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1450	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1451	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1452	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1453	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1454	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1455	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1456	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1457	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1458	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1459	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1460	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1461	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1462	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1463	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1464	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1465	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1466	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1467	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1468	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1469	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1470	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1471	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1472	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1473	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1474	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1475	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1476	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1477	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1478	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1479	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1480	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1481	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1482	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1483	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1484	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1485	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1486	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1487	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1488	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1489	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1490	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1491	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1492	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1493	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1494	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1495	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1496	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1497	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1498	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1499	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1500	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1501	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1502	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1503	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1504	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1505	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1506	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1507	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1508	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1509	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1510	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1511	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1512	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1513	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1514	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1515	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1516	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1517	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1518	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1519	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1520	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1521	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1522	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1523	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1524	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1525	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1526	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1527	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1528	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1529	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1530	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1531	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1532	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1533	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1534	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1535	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1536	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1537	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1538	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1539	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1540	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1541	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1542	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1543	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1544	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1545	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1546	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1547	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1548	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1549	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1550	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1551	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1552	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1553	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1554	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1555	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1556	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1557	C₄²	C₂⁴×C₇	1	4	yes	—
1558	C₄²	C₂⁴×C₇	1	4	yes	—
1559	C₄²	C₂⁴×C₇	1	4	yes	—
1560	C₄²	C₂⁴×C₇	1	4	yes	—
1561	C₄²	C₂⁴×C₇	1	4	yes	—
1562	C₄²	C₂⁴×C₇	1	4	yes	—
1563	C₄²	C₂⁴×C₇	1	4	yes	—
1564	C₄²	C₂⁴×C₇	1	4	yes	—
1565	C₄²	C₂⁴×C₇	1	4	yes	—
1566	C₄²	C₂⁴×C₇	1	8	yes	—
1567	C₄²	C₂⁴×C₇	1	8	yes	—
1568	C₄²	C₂⁴×C₇	1	8	yes	—
1569	C₄²	C₂⁴×C₇	1	8	yes	—
1570	C₂×C₇	—	2	2	no	—
1571	C₂×C₇	—	2	2	no	—
1572	C₂×C₇	—	4	4	no	—
1573	C₂×C₇	—	4	1	no	—
1574	C₂×C₇	—	4	4	no	—
1575	C₂×C₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1576	C₂×C₇	C₂×#585	1	1	yes	characteristic
1577	C₂×C₇	C₂×#585	1	1	yes	characteristic
1578	C₂³	—	2	2	no	—
1579	C₂³	—	2	2	no	—
1580	C₂³	—	2	4	no	—
1581	C₂³	—	4	1	no	—
1582	C₂³	—	4	2	no	—
1583	C₂³	—	4	2	no	—
1584	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1585	C₂³	C₂⁵×C₇	1	4	yes	—
1586	C₂³	C₂⁵×C₇	1	4	yes	—
1587	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1588	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1589	Q₈	—	2	4	no	—
1590	Q₈	—	2	4	no	—
1591	Q₈	—	2	4	no	—
1592	Q₈	—	2	4	no	—
1593	Q₈	—	2	4	no	—
1594	Q₈	—	2	4	no	—
1595	Q₈	—	4	2	no	—
1596	Q₈	—	4	4	no	—
1597	Q₈	—	4	8	no	—
1598	Q₈	—	4	2	no	—
1599	Q₈	—	4	4	no	—
1600	Q₈	—	4	2	no	—
1601	Q₈	—	4	8	no	—
1602	D₄	—	2	8	no	—
1603	D₄	—	2	8	no	—
1604	D₄	—	2	8	no	—
1605	D₄	—	2	4	no	—
1606	D₄	—	2	4	no	—
1607	D₄	—	2	4	no	—
1608	D₄	—	2	4	no	—
1609	D₄	—	4	4	no	—
1610	D₄	—	4	2	no	—
1611	D₄	—	4	8	no	—
1612	D₄	—	4	8	no	—
1613	D₄	—	4	4	no	—
1614	C₂×C₄	—	2	2	no	—
1615	C₂×C₄	—	2	4	no	—
1616	C₂×C₄	—	2	2	no	—
1617	C₂×C₄	—	2	2	no	—
1618	C₂×C₄	—	2	8	no	—
1619	C₂×C₄	—	2	2	no	—
1620	C₂×C₄	—	2	2	no	—
1621	C₂×C₄	—	2	2	no	—
1622	C₂×C₄	—	2	2	no	—
1623	C₂×C₄	—	2	8	no	—
1624	C₂×C₄	—	2	2	no	—
1625	C₂×C₄	—	2	2	no	—
1626	C₂×C₄	—	2	8	no	—
1627	C₂×C₄	—	2	2	no	—
1628	C₂×C₄	—	4	1	no	—
1629	C₂×C₄	—	4	4	no	—
1630	C₂×C₄	—	4	1	no	—
1631	C₂×C₄	—	4	1	no	—
1632	C₂×C₄	—	4	1	no	—
1633	C₂×C₄	—	4	1	no	—
1634	C₂×C₄	—	4	2	no	—
1635	C₂×C₄	—	4	1	no	—
1636	C₂×C₄	—	4	1	no	—
1637	C₂×C₄	—	4	2	no	—
1638	C₂×C₄	—	4	4	no	—
1639	C₂×C₄	—	4	8	no	—
1640	C₂×C₄	—	4	4	no	—
1641	C₂×C₄	—	4	4	no	—
1642	C₂×C₄	—	4	8	no	—
1643	C₂×C₄	—	4	8	no	—
1644	C₂×C₄	—	4	8	no	—
1645	C₂×C₄	C₇×2₋¹⁺⁴	1	4	yes	—
1646	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1647	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1648	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1649	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1650	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1651	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1652	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1653	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1654	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1655	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1656	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1657	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1658	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1659	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1660	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1661	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1662	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1663	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1664	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1665	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1666	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1667	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1668	C₇	#62831	1	1	yes	characteristic, direct product factor, Sylow
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	2	4	no	—
1675	C₂²	—	2	4	no	—
1676	C₂²	—	2	4	no	—
1677	C₂²	—	2	1	no	—
1678	C₂²	—	2	4	no	—
1679	C₂²	—	2	4	no	—
1680	C₂²	—	2	4	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	4	4	no	—
1683	C₂²	—	8	4	no	—
1684	C₂²	C₂×C₇×2₋¹⁺⁴	1	2	yes	—
1685	C₂²	C₇×#585	1	2	yes	—
1686	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	4	no	—
1690	C₄	—	2	4	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	4	no	—
1695	C₄	—	2	4	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	2	4	no	—
1701	C₄	—	2	4	no	—
1702	C₄	—	2	4	no	—
1703	C₄	—	2	4	no	—
1704	C₄	—	2	4	no	—
1705	C₄	—	2	4	no	—
1706	C₄	C₂×C₇×2₋¹⁺⁴	1	2	yes	—
1707	C₄	C₂×C₇×2₋¹⁺⁴	1	2	yes	—
1708	C₄	C₇×#585	1	2	yes	—
1709	C₂	—	2	2	no	—
1710	C₂	—	2	2	no	—
1711	C₂	—	4	1	no	—
1712	C₂	—	4	4	no	—
1713	C₂	—	4	4	no	—
1714	C₂	C₂²×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1715	C₂	C₂×C₇×#585	1	1	yes	characteristic
1716	C₂	C₂×C₇×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×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×#3565	C₂	semidirect
2. C₇×#3564	C₂	semidirect
3. C₇×#3557	C₂	semidirect
4. C₇×#3555	C₂	semidirect
5. C₇×#3554	C₂	semidirect
6. C₇×#3552	C₂	semidirect
7. C₇×#3544	C₂	semidirect
8. C₇×#3535	C₂	semidirect
9. C₇×#3523	C₂	semidirect
10. C₇×#3522	C₂	semidirect
11. C₇×#3520	C₂	semidirect
12. C₇×#3518	C₂	semidirect
13. C₇×#3515	C₂	semidirect
14. C₇×#3515	C₂	semidirect
15. C₇×#3510	C₂	semidirect
16. C₇×#3507	C₂	semidirect
17. C₇×#3507	C₂	semidirect
18. C₇×#3506	C₂	semidirect
19. C₇×#3504	C₂	semidirect
20. C₇×#3502	C₂	semidirect
21. C₇×#3501	C₂	semidirect
22. C₇×#3495	C₂	semidirect
23. C₇×#3495	C₂	semidirect
24. C₇×#3494	C₂	semidirect
25. C₇×#3444	C₂	semidirect
26. C₂×C₇×#533	C₂	semidirect
27. C₂×C₇×#529	C₂	semidirect
28. C₇×#563	C₂²	semidirect
29. C₇×#563	C₂²	semidirect
30. C₇×#563	C₂²	semidirect
31. C₇×#562	C₂²	semidirect
32. C₇×#559	C₂²	semidirect
33. C₇×#559	C₂²	semidirect
34. C₇×#559	C₂²	semidirect
35. C₇×#559	C₂²	semidirect
36. C₇×Q₈²	C₂²	semidirect
37. C₇×Q₈²	C₂²	semidirect
38. C₇×#557	C₂²	semidirect
39. C₇×#557	C₂²	semidirect
40. C₇×#557	C₂²	semidirect
41. C₇×#557	C₂²	semidirect
42. C₇×#557	C₂²	semidirect
43. C₇×#557	C₂²	semidirect
44. C₇×#557	C₂²	semidirect
45. C₇×#556	C₂²	semidirect
46. C₇×#556	C₂²	semidirect
47. C₇×#556	C₂²	semidirect
48. C₇×#556	C₂²	semidirect
49. C₇×#556	C₂²	semidirect
50. C₇×#556	C₂²	semidirect
51. C₇×#556	C₂²	semidirect
52. C₇×#556	C₂²	semidirect
53. C₇×#556	C₂²	semidirect
55. C₇×#555	C₂²	semidirect
58. C₇×#554	C₂²	semidirect
59. C₇×#554	C₂²	semidirect
60. C₇×#554	C₂²	semidirect
61. C₇×#554	C₂²	semidirect
62. C₇×#554	C₂²	semidirect
63. C₇×#554	C₂²	semidirect
64. C₇×#554	C₂²	semidirect
65. C₇×#554	C₂²	semidirect
68. C₇×#553	C₂²	semidirect
70. C₇×#552	C₂²	semidirect
71. C₇×#552	C₂²	semidirect
72. C₇×#552	C₂²	semidirect
73. C₇×#552	C₂²	semidirect
74. C₇×#552	C₂²	semidirect
75. C₇×#552	C₂²	semidirect
76. C₇×#552	C₂²	semidirect
77. C₇×#552	C₂²	semidirect
78. C₇×#552	C₂²	semidirect
79. C₇×#552	C₂²	semidirect
84. C₇×#550	C₂²	semidirect
85. C₇×D₄×Q₈	C₂²	semidirect
86. C₇×D₄×Q₈	C₂²	semidirect
87. C₇×D₄×Q₈	C₂²	semidirect
88. C₇×#548	C₂²	semidirect
89. C₇×#548	C₂²	semidirect
91. C₇×#547	C₂²	semidirect
92. C₇×#547	C₂²	semidirect
93. C₇×#547	C₂²	semidirect
94. C₇×#547	C₂²	semidirect
99. C₇×#544	C₂²	semidirect
100. C₇×#544	C₂²	semidirect
101. C₇×#544	C₂²	semidirect
104. C₇×#542	C₂²	semidirect
105. C₇×#542	C₂²	semidirect
106. C₇×#542	C₂²	semidirect
107. C₇×#542	C₂²	semidirect
108. C₇×#542	C₂²	semidirect
109. C₇×#542	C₂²	semidirect
110. C₇×#542	C₂²	semidirect
111. C₇×#542	C₂²	semidirect
112. C₇×#541	C₂²	semidirect
113. C₇×#541	C₂²	semidirect
114. C₇×#541	C₂²	semidirect
115. C₇×#541	C₂²	semidirect
116. C₇×#541	C₂²	semidirect
119. C₇×#539	C₂²	semidirect
120. C₇×#539	C₂²	semidirect
121. C₇×#539	C₂²	semidirect
122. C₇×#539	C₂²	semidirect
123. C₇×#539	C₂²	semidirect
126. C₇×#536	C₂²	semidirect
127. C₇×#536	C₂²	semidirect
136. C₇×#533	C₂²	semidirect
137. C₇×#533	C₂²	semidirect
138. C₇×#533	C₂²	semidirect
139. C₇×#533	C₂²	semidirect
140. C₇×#533	C₂²	semidirect
141. C₇×#533	C₂²	semidirect
142. C₇×#533	C₂²	semidirect
143. C₇×#533	C₂²	semidirect
144. C₇×#533	C₂²	semidirect
147. C₇×#532	C₂²	semidirect
148. C₇×#532	C₂²	semidirect
149. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
150. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
163. C₇×#529	C₂²	semidirect
164. C₇×#529	C₂²	semidirect
165. C₇×#529	C₂²	semidirect
166. C₇×#529	C₂²	semidirect
167. C₇×#529	C₂²	semidirect
168. C₇×#529	C₂²	semidirect
169. C₇×#529	C₂²	semidirect
172. C₂×C₇×#125	C₂²	semidirect
173. C₂×C₇×#125	C₂²	semidirect
187. C₇×#520	C₂²	semidirect
188. C₇×#520	C₂²	semidirect
190. C₇×#519	C₂²	semidirect
193. C₄×C₇×#41	C₂²	semidirect
194. C₄×C₇×#41	C₂²	semidirect
196. C₂×C₄×C₇×Q₈	C₂²	semidirect
197. C₂×C₄×C₇×Q₈	C₂²	semidirect
203. #62831	C₇	direct (N × H)
531. #3565	C₂×C₇	semidirect
532. #3564	C₂×C₇	semidirect
533. #3557	C₂×C₇	semidirect
534. #3555	C₂×C₇	semidirect
535. #3554	C₂×C₇	semidirect
536. #3552	C₂×C₇	semidirect
537. #3544	C₂×C₇	semidirect
538. #3535	C₂×C₇	semidirect
539. #3523	C₂×C₇	semidirect
540. #3522	C₂×C₇	semidirect
541. #3520	C₂×C₇	semidirect
542. #3518	C₂×C₇	semidirect
543. #3515	C₂×C₇	semidirect
544. #3515	C₂×C₇	semidirect
545. #3510	C₂×C₇	semidirect
546. #3507	C₂×C₇	semidirect
547. #3507	C₂×C₇	semidirect
548. #3506	C₂×C₇	semidirect
549. #3504	C₂×C₇	semidirect
550. #3502	C₂×C₇	semidirect
551. #3501	C₂×C₇	semidirect
552. #3495	C₂×C₇	semidirect
553. #3495	C₂×C₇	semidirect
554. #3494	C₂×C₇	semidirect
555. #3444	C₂×C₇	semidirect
556. C₂×#533	C₂×C₇	semidirect
557. C₂×#529	C₂×C₇	semidirect
748. #563	C₂²×C₇	semidirect
749. #563	C₂²×C₇	semidirect
750. #563	C₂²×C₇	semidirect
751. #562	C₂²×C₇	semidirect
752. #559	C₂²×C₇	semidirect
753. #559	C₂²×C₇	semidirect
754. #559	C₂²×C₇	semidirect
755. #559	C₂²×C₇	semidirect
756. Q₈²	C₂²×C₇	semidirect
757. Q₈²	C₂²×C₇	semidirect
758. #557	C₂²×C₇	semidirect
759. #557	C₂²×C₇	semidirect
760. #557	C₂²×C₇	semidirect
761. #557	C₂²×C₇	semidirect
762. #557	C₂²×C₇	semidirect
763. #557	C₂²×C₇	semidirect
764. #557	C₂²×C₇	semidirect
765. #556	C₂²×C₇	semidirect
766. #556	C₂²×C₇	semidirect
767. #556	C₂²×C₇	semidirect
768. #556	C₂²×C₇	semidirect
769. #556	C₂²×C₇	semidirect
770. #556	C₂²×C₇	semidirect
771. #556	C₂²×C₇	semidirect
772. #556	C₂²×C₇	semidirect
773. #556	C₂²×C₇	semidirect
775. #555	C₂²×C₇	semidirect
778. #554	C₂²×C₇	semidirect
779. #554	C₂²×C₇	semidirect
780. #554	C₂²×C₇	semidirect
781. #554	C₂²×C₇	semidirect
782. #554	C₂²×C₇	semidirect
783. #554	C₂²×C₇	semidirect
784. #554	C₂²×C₇	semidirect
785. #554	C₂²×C₇	semidirect
788. #553	C₂²×C₇	semidirect
790. #552	C₂²×C₇	semidirect
791. #552	C₂²×C₇	semidirect
792. #552	C₂²×C₇	semidirect
793. #552	C₂²×C₇	semidirect
794. #552	C₂²×C₇	semidirect
795. #552	C₂²×C₇	semidirect
796. #552	C₂²×C₇	semidirect
797. #552	C₂²×C₇	semidirect
798. #552	C₂²×C₇	semidirect
799. #552	C₂²×C₇	semidirect
804. #550	C₂²×C₇	semidirect
805. D₄×Q₈	C₂²×C₇	semidirect
806. D₄×Q₈	C₂²×C₇	semidirect
807. D₄×Q₈	C₂²×C₇	semidirect
808. #548	C₂²×C₇	semidirect
809. #548	C₂²×C₇	semidirect
811. #547	C₂²×C₇	semidirect
812. #547	C₂²×C₇	semidirect
813. #547	C₂²×C₇	semidirect
814. #547	C₂²×C₇	semidirect
819. #544	C₂²×C₇	semidirect
820. #544	C₂²×C₇	semidirect
821. #544	C₂²×C₇	semidirect
824. #542	C₂²×C₇	semidirect
825. #542	C₂²×C₇	semidirect
826. #542	C₂²×C₇	semidirect
827. #542	C₂²×C₇	semidirect
828. #542	C₂²×C₇	semidirect
829. #542	C₂²×C₇	semidirect
830. #542	C₂²×C₇	semidirect
831. #542	C₂²×C₇	semidirect
832. #541	C₂²×C₇	semidirect
833. #541	C₂²×C₇	semidirect
834. #541	C₂²×C₇	semidirect
835. #541	C₂²×C₇	semidirect
836. #541	C₂²×C₇	semidirect
839. #539	C₂²×C₇	semidirect
840. #539	C₂²×C₇	semidirect
841. #539	C₂²×C₇	semidirect
842. #539	C₂²×C₇	semidirect
843. #539	C₂²×C₇	semidirect
846. #536	C₂²×C₇	semidirect
847. #536	C₂²×C₇	semidirect
856. #533	C₂²×C₇	semidirect
857. #533	C₂²×C₇	semidirect
858. #533	C₂²×C₇	semidirect
859. #533	C₂²×C₇	semidirect
860. #533	C₂²×C₇	semidirect
861. #533	C₂²×C₇	semidirect
862. #533	C₂²×C₇	semidirect
863. #533	C₂²×C₇	semidirect
864. #533	C₂²×C₇	semidirect
867. #532	C₂²×C₇	semidirect
868. #532	C₂²×C₇	semidirect
869. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
870. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
883. #529	C₂²×C₇	semidirect
884. #529	C₂²×C₇	semidirect
885. #529	C₂²×C₇	semidirect
886. #529	C₂²×C₇	semidirect
887. #529	C₂²×C₇	semidirect
888. #529	C₂²×C₇	semidirect
889. #529	C₂²×C₇	semidirect
892. C₂×#125	C₂²×C₇	semidirect
893. C₂×#125	C₂²×C₇	semidirect
907. #520	C₂²×C₇	semidirect
908. #520	C₂²×C₇	semidirect
910. #519	C₂²×C₇	semidirect
913. C₄×#41	C₂²×C₇	semidirect
914. C₄×#41	C₂²×C₇	semidirect
916. C₂×C₄×Q₈	C₂²×C₇	semidirect
917. C₂×C₄×Q₈	C₂²×C₇	semidirect
1668. C₇	#62831	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×#3565	2
C₇×#3564	2
C₇×#3557	2
C₇×#3555	2
C₇×#3554	2
C₇×#3552	2
C₇×#3544	2
C₇×#3535	2
C₇×#3523	2
C₇×#3522	2
C₇×#3520	2
C₇×#3518	2
C₇×#3515	2
C₇×#3510	2
C₇×#3507	2
C₇×#3506	2
C₇×#3504	2
C₇×#3502	2
C₇×#3501	2
C₇×#3495	2
C₇×#3494	2
C₇×#3444	2
C₂×C₇×#533	2
C₂×C₇×#529	2
#62831	7

Subgroups — C7×#62831 #13240047

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62831 #13240047