Subgroups — C₇×#62064 #13239280

Order 1792.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1824 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×#3513	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3403	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3396	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3370	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3322	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3310	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3308	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3300	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3297	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3294	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3282	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3280	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×D₄×D₈	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3273	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3265	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3262	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3257	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3247	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3224	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#3220	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#3211	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#3124	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#3118	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#3100	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#3045	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#3041	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₇×#463	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇×#2994	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₇×#135	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₂²×C₇×D₈	C₂²	1	1	yes	characteristic
37	C₂²×C₇×D₈	C₂²	1	1	yes	characteristic, complemented
38	C₇×#562	—	2	1	no	—
39	C₇×H(3,𝔽₄)	—	2	1	no	—
40	C₇×#559	C₂²	1	1	yes	characteristic, complemented
41	C₇×#559	C₂²	1	1	yes	characteristic, complemented
42	C₇×#559	C₂²	1	1	yes	characteristic, complemented
43	C₇×#554	C₂²	1	1	yes	characteristic, complemented
44	C₇×#553	—	2	1	no	—
45	C₇×#553	C₂²	1	1	yes	characteristic, complemented
46	C₇×#552	C₂²	1	1	yes	characteristic, complemented
47	C₇×#551	—	2	1	no	—
48	C₇×#551	—	2	1	no	—
49	C₇×#548	C₂²	1	1	yes	characteristic
50	C₇×#548	C₂²	1	1	yes	characteristic, complemented
51	C₇×#547	C₂²	1	1	yes	characteristic, complemented
52	C₇×#546	—	2	1	no	—
53	C₇×#546	—	2	1	no	—
54	C₇×#546	—	2	1	no	—
55	C₇×#546	C₂²	1	1	yes	characteristic, complemented
56	C₇×#546	C₂²	1	1	yes	characteristic, complemented
57	C₇×#546	C₂²	1	1	yes	characteristic, complemented
58	C₇×#546	C₂²	1	1	yes	characteristic, complemented
59	C₇×D₄²	C₂²	1	1	yes	characteristic
60	C₇×D₄²	C₂²	1	1	yes	characteristic, complemented
61	C₇×D₄²	C₂²	1	1	yes	characteristic, complemented
62	C₇×#542	C₂²	1	1	yes	characteristic, complemented
63	C₇×#542	C₂²	1	1	yes	characteristic, complemented
64	C₇×#542	C₂²	1	1	yes	characteristic, complemented
65	C₇×#540	C₂²	1	1	yes	characteristic, complemented
66	C₇×#539	—	2	1	no	—
67	C₇×#538	—	2	1	no	—
68	C₇×#538	—	2	1	no	—
69	C₇×#538	—	2	1	no	—
70	C₇×#538	—	2	1	no	—
71	C₇×#535	C₂²	1	1	yes	characteristic, complemented
72	C₇×#535	C₂²	1	1	yes	characteristic, complemented
73	C₇×#534	—	2	1	no	—
74	C₇×#532	C₂²	1	1	yes	characteristic, complemented
75	C₇×#529	C₂²	1	1	yes	characteristic
76	C₇×#529	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
78	C₇×#525	—	2	1	no	—
79	C₂×C₇×#123	—	2	1	no	—
80	C₇×#520	C₂²	1	1	yes	characteristic, complemented
81	C₇×#518	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
83	C₇×#496	C₂²	1	1	yes	characteristic, complemented
84	C₇×#496	C₂²	1	1	yes	characteristic, complemented
85	C₇×#495	C₂²	1	1	yes	characteristic, complemented
86	C₇×#495	C₂²	1	1	yes	characteristic, complemented
87	C₇×#495	C₂²	1	1	yes	characteristic, complemented
88	C₇×#493	C₂²	1	1	yes	characteristic
89	C₇×#490	C₂²	1	1	yes	characteristic, complemented
90	C₇×#489	C₂²	1	1	yes	characteristic, complemented
91	C₇×#488	C₂²	1	1	yes	characteristic, complemented
92	C₇×#488	C₂²	1	1	yes	characteristic, complemented
93	C₇×#488	C₂²	1	1	yes	characteristic, complemented
94	C₇×#486	C₂²	1	1	yes	characteristic, complemented
95	C₇×#485	C₂²	1	1	yes	characteristic, complemented
96	C₇×#484	C₂²	1	1	yes	characteristic, complemented
97	C₇×#482	C₂²	1	1	yes	characteristic, complemented
98	C₇×#480	C₂²	1	1	yes	characteristic, complemented
99	C₇×#480	C₂²	1	1	yes	characteristic, complemented
100	C₇×#480	C₂²	1	1	yes	characteristic, complemented
101	C₇×#479	C₂²	1	1	yes	characteristic, complemented
102	C₇×#478	C₂²	1	1	yes	characteristic, complemented
103	C₇×#478	C₂²	1	1	yes	characteristic, complemented
104	C₇×#478	C₂²	1	1	yes	characteristic, complemented
105	C₇×#477	C₂²	1	1	yes	characteristic, complemented
106	C₇×#477	C₂²	1	1	yes	characteristic, complemented
107	C₇×#476	C₂²	1	1	yes	characteristic, complemented
108	C₇×#474	C₂²	1	1	yes	characteristic, complemented
109	C₇×#474	C₂²	1	1	yes	characteristic, complemented
110	C₇×#474	C₂²	1	1	yes	characteristic, complemented
111	C₇×#469	C₂²	1	1	yes	characteristic, complemented
112	C₇×#468	C₂²	1	1	yes	characteristic, complemented
113	C₇×#468	C₂²	1	1	yes	characteristic, complemented
114	C₇×#468	C₂²	1	1	yes	characteristic, complemented
115	C₇×#467	C₂²	1	1	yes	characteristic, complemented
116	C₇×#466	C₂²	1	1	yes	characteristic
117	C₇×#466	C₂²	1	1	yes	characteristic, complemented
118	C₇×#466	C₂²	1	1	yes	characteristic, complemented
119	C₇×#466	C₂²	1	1	yes	characteristic, complemented
120	C₇×#465	C₂²	1	1	yes	characteristic, complemented
121	C₇×#465	C₂²	1	1	yes	characteristic, complemented
122	C₇×#465	C₂²	1	1	yes	characteristic, complemented
123	C₇×#464	C₂²	1	1	yes	characteristic, complemented
124	C₇×#464	C₂²	1	1	yes	characteristic, complemented
125	C₇×#464	C₂²	1	1	yes	characteristic, complemented
126	C₇×#464	C₂²	1	1	yes	characteristic, complemented
127	C₇×#463	C₂²	1	1	yes	characteristic, complemented
128	C₇×#463	C₂²	1	1	yes	characteristic, complemented
129	C₇×#463	C₂²	1	1	yes	characteristic, complemented
130	C₇×#463	C₂²	1	1	yes	characteristic, complemented
131	C₇×#463	C₂²	1	1	yes	characteristic, complemented
132	C₇×#463	C₂²	1	1	yes	characteristic, complemented
133	C₇×#463	C₂²	1	1	yes	characteristic, complemented
134	C₇×#463	C₂²	1	1	yes	characteristic, complemented
135	C₇×#463	C₂²	1	1	yes	characteristic, complemented
136	C₇×#463	C₂²	1	1	yes	characteristic, complemented
137	C₇×#463	C₂²	1	1	yes	characteristic, complemented
138	C₇×#463	C₂²	1	1	yes	characteristic, complemented
139	C₇×#463	C₂²	1	1	yes	characteristic, complemented
140	C₇×#463	C₂²	1	1	yes	characteristic, complemented
141	C₇×#463	C₂²	1	1	yes	characteristic, complemented
142	C₇×#463	C₂²	1	1	yes	characteristic, complemented
143	C₇×#460	C₂²	1	1	yes	characteristic, complemented
144	C₇×#460	C₂²	1	1	yes	characteristic, complemented
145	C₇×#460	C₂²	1	1	yes	characteristic, complemented
146	C₇×#459	C₂²	1	1	yes	characteristic
147	C₇×#459	C₂²	1	1	yes	characteristic
148	C₇×#459	C₂²	1	1	yes	characteristic, complemented
149	C₇×#459	C₂²	1	1	yes	characteristic, complemented
150	C₇×#459	C₂²	1	1	yes	characteristic, complemented
151	C₇×#459	C₂²	1	1	yes	characteristic, complemented
152	C₇×#459	C₂²	1	1	yes	characteristic, complemented
153	C₇×#452	C₂²	1	1	yes	characteristic, complemented
154	C₇×#452	C₂²	1	1	yes	characteristic, complemented
155	C₇×#451	C₂²	1	1	yes	characteristic, complemented
156	C₇×#450	C₂²	1	1	yes	characteristic, complemented
157	C₇×#450	C₂²	1	1	yes	characteristic, complemented
158	C₇×#450	C₂²	1	1	yes	characteristic, complemented
159	C₇×#449	C₂²	1	1	yes	characteristic
160	C₇×#449	C₂²	1	1	yes	characteristic, complemented
161	C₇×#449	C₂²	1	1	yes	characteristic, complemented
162	C₇×#449	C₂²	1	1	yes	characteristic, complemented
163	C₇×#448	C₂²	1	1	yes	characteristic, complemented
164	C₇×#447	C₂²	1	1	yes	characteristic
165	C₇×#447	C₂²	1	1	yes	characteristic
166	C₇×#447	C₂²	1	1	yes	characteristic, complemented
167	C₇×#447	C₂²	1	1	yes	characteristic, complemented
168	C₇×#447	C₂²	1	1	yes	characteristic, complemented
169	C₇×#447	C₂²	1	1	yes	characteristic, complemented
170	C₇×#447	C₂²	1	1	yes	characteristic, complemented
171	C₇×#446	C₂²	1	1	yes	characteristic, complemented
172	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
173	C₇×#442	C₂²	1	1	yes	characteristic, complemented
174	C₇×#440	C₂²	1	1	yes	characteristic, complemented
175	C₇×#440	C₂²	1	1	yes	characteristic, complemented
176	C₇×#440	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₇×D₈	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₇×D₈	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₇×D₈	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₇×D₈	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₇×D₈	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₇×D₈	C₂²	1	1	yes	characteristic, complemented
185	C₇×#436	C₂²	1	1	yes	characteristic, complemented
186	C₇×#435	C₂²	1	1	yes	characteristic, complemented
187	C₇×#435	C₂²	1	1	yes	characteristic, complemented
188	C₇×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
189	C₇×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
190	C₇×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
191	C₇×#433	C₂²	1	1	yes	characteristic, complemented
192	C₇×#433	C₂²	1	1	yes	characteristic, complemented
193	C₇×#431	C₂²	1	1	yes	characteristic, complemented
194	C₇×#424	C₂²	1	1	yes	characteristic, complemented
195	C₇×#424	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	C₇×#418	C₂²	1	1	yes	characteristic, complemented
198	C₇×#417	C₂²	1	1	yes	characteristic, complemented
199	C₇×#416	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₇×#103	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₇×#102	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₇×#102	C₂²	1	1	yes	characteristic, complemented
203	#62064	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
204	C₂×C₇×#41	—	2	1	no	—
205	C₂×C₇×#41	—	2	1	no	—
206	C₂×C₇×#41	C₂³	1	1	yes	characteristic
207	C₂×C₇×#41	C₂³	1	1	yes	characteristic
208	C₂×C₇×#41	C₂³	1	1	yes	characteristic
209	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
210	C₂²×C₇×D₄	—	2	1	no	—
211	C₂²×C₇×D₄	—	2	1	no	—
212	C₂²×C₇×D₄	—	2	1	no	—
213	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
214	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
215	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
216	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
217	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₇	—	2	1	no	—
219	C₇×AGL(1,ℤ/8)	—	4	2	no	—
220	C₇×AGL(1,ℤ/8)	—	4	2	no	—
221	C₇×#135	—	4	2	no	—
222	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₇×SD₁₆	—	4	2	no	—
225	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
229	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
230	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₇×D₈	—	4	2	no	—
236	C₂×C₇×D₈	—	4	2	no	—
237	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
238	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
239	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
240	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
241	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
242	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
243	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
244	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
245	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
246	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
247	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
248	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
249	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
250	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
251	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
252	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
253	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
254	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
255	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
256	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
257	C₇×#127	C₂³	1	1	yes	characteristic
258	C₇×#127	C₂³	1	1	yes	characteristic
259	C₇×#127	C₂³	1	1	yes	characteristic
260	C₇×#127	C₂³	1	1	yes	characteristic
261	C₇×#126	—	2	1	no	—
262	C₇×#126	—	2	1	no	—
263	C₇×#126	—	2	1	no	—
264	C₇×#126	—	2	1	no	—
265	C₇×#126	—	2	1	no	—
266	C₇×#126	—	2	1	no	—
267	C₇×#126	D₄	1	1	yes	characteristic
268	C₇×#126	D₄	1	1	yes	characteristic
269	C₇×#125	—	2	1	no	—
270	C₇×#125	D₄	1	1	yes	characteristic
271	C₇×#125	C₂³	1	1	yes	characteristic
272	C₇×#125	C₂³	1	1	yes	characteristic
273	C₇×#124	—	2	1	no	—
274	C₇×#124	—	2	1	no	—
275	C₇×#124	—	2	1	no	—
276	C₇×#124	—	2	1	no	—
277	C₇×#124	—	2	1	no	—
278	C₇×#124	—	2	1	no	—
279	C₇×#124	—	2	1	no	—
280	C₇×#124	—	2	1	no	—
281	C₇×#124	—	2	1	no	—
282	C₇×#124	—	2	1	no	—
283	C₇×#124	—	2	1	no	—
284	C₇×#124	D₄	1	1	yes	characteristic
285	C₇×#124	C₂³	1	1	yes	characteristic
286	C₇×#124	C₂³	1	1	yes	characteristic
287	C₇×#124	C₂³	1	1	yes	characteristic
288	C₇×#124	C₂³	1	1	yes	characteristic
289	C₇×#124	C₂³	1	1	yes	characteristic
290	C₇×#124	C₂³	1	1	yes	characteristic
291	C₇×#124	C₂³	1	1	yes	characteristic
292	C₇×#124	C₂³	1	1	yes	characteristic
293	C₇×#123	—	2	1	no	—
294	C₇×#123	—	2	1	no	—
295	C₇×#123	—	2	1	no	—
296	C₇×#123	—	2	1	no	—
297	C₇×#123	—	2	1	no	—
298	C₇×#123	—	2	1	no	—
299	C₇×#123	—	2	1	no	—
300	C₇×#123	—	2	1	no	—
301	C₇×#123	—	2	1	no	—
302	C₇×#123	—	2	1	no	—
303	C₇×#123	—	2	1	no	—
304	C₇×#123	—	2	1	no	—
305	C₇×#123	—	2	1	no	—
306	C₇×#123	—	2	1	no	—
307	C₇×#123	—	2	1	no	—
308	C₇×#123	—	2	1	no	—
309	C₇×#123	—	2	1	no	—
310	C₇×#123	—	2	1	no	—
311	C₇×#123	—	2	1	no	—
312	C₇×#123	—	2	1	no	—
313	C₇×#123	D₄	1	1	yes	characteristic
314	C₇×#123	D₄	1	1	yes	characteristic
315	C₇×C₂²⋊Q₈	—	2	1	no	—
316	C₇×C₂²⋊Q₈	—	2	1	no	—
317	C₇×C₂²⋊Q₈	—	2	1	no	—
318	C₇×C₂²⋊Q₈	—	2	1	no	—
319	C₇×C₂²⋊Q₈	—	2	1	no	—
320	C₇×C₂²⋊Q₈	—	2	1	no	—
321	C₇×C₂²⋊Q₈	—	2	1	no	—
322	C₇×C₂²⋊Q₈	—	2	1	no	—
323	C₇×C₂²⋊Q₈	—	2	1	no	—
324	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
325	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
326	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
327	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
328	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
329	C₇×#121	—	2	1	no	—
330	C₇×#121	—	2	1	no	—
331	C₇×#121	—	2	1	no	—
332	C₇×#121	—	2	1	no	—
333	C₇×#121	—	2	1	no	—
334	C₇×#121	—	2	1	no	—
335	C₇×#121	—	2	1	no	—
336	C₇×#121	—	2	1	no	—
337	C₇×#121	—	2	1	no	—
338	C₇×#121	—	2	1	no	—
339	C₇×#121	—	2	1	no	—
340	C₇×#121	—	2	1	no	—
341	C₇×#121	—	2	1	no	—
342	C₇×#121	—	2	1	no	—
343	C₇×#121	—	2	1	no	—
344	C₇×#121	—	2	1	no	—
345	C₇×#121	—	2	1	no	—
346	C₇×#121	D₄	1	1	yes	characteristic
347	C₇×#121	C₂³	1	1	yes	characteristic
348	C₇×#121	C₂³	1	1	yes	characteristic
349	C₇×#121	C₂³	1	1	yes	characteristic
350	C₇×#121	C₂³	1	1	yes	characteristic
351	C₇×#121	C₂³	1	1	yes	characteristic
352	C₇×#121	C₂³	1	1	yes	characteristic
353	C₇×#121	C₂³	1	1	yes	characteristic
354	C₇×#121	C₂³	1	1	yes	characteristic
355	C₇×#120	—	2	1	no	—
356	C₇×#120	—	2	1	no	—
357	C₇×#120	—	2	1	no	—
358	C₇×#120	—	2	1	no	—
359	C₇×#120	—	2	1	no	—
360	C₇×#120	—	2	1	no	—
361	C₇×#120	—	2	1	no	—
362	C₇×#120	—	2	1	no	—
363	C₇×#120	—	2	1	no	—
364	C₇×#120	—	2	1	no	—
365	C₇×#120	—	2	1	no	—
366	C₇×#120	—	2	1	no	—
367	C₇×#120	—	2	1	no	—
368	C₇×#120	—	2	1	no	—
369	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
370	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
371	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
372	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
373	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
374	C₄×C₇×D₄	—	2	1	no	—
375	C₄×C₇×D₄	—	2	1	no	—
376	C₄×C₇×D₄	—	2	1	no	—
377	C₄×C₇×D₄	—	2	1	no	—
378	C₄×C₇×D₄	—	2	1	no	—
379	C₄×C₇×D₄	—	2	1	no	—
380	C₄×C₇×D₄	—	2	1	no	—
381	C₄×C₇×D₄	—	2	1	no	—
382	C₄×C₇×D₄	—	2	1	no	—
383	C₄×C₇×D₄	—	2	1	no	—
384	C₄×C₇×D₄	—	2	1	no	—
385	C₄×C₇×D₄	—	2	1	no	—
386	C₄×C₇×D₄	—	2	1	no	—
387	C₄×C₇×D₄	—	2	1	no	—
388	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
389	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
390	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
391	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
392	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
393	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
394	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
395	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
396	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
397	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
398	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
399	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
400	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
401	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
402	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
403	C₇×#117	—	2	1	no	—
404	C₇×#117	—	2	1	no	—
405	C₇×#117	—	2	1	no	—
406	C₇×#117	C₂³	1	1	yes	characteristic
407	C₇×#117	C₂³	1	1	yes	characteristic
408	C₇×#117	C₂³	1	1	yes	characteristic
409	C₂×C₇×C₄⋊C₄	—	2	1	no	—
410	C₂×C₇×C₄⋊C₄	—	2	1	no	—
411	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
412	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
413	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
414	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
415	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
416	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
417	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
418	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
419	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
420	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
421	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
422	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
423	C₇×#107	C₂³	1	1	yes	characteristic
424	C₇×#107	C₂³	1	1	yes	characteristic
425	C₇×#107	C₂³	1	1	yes	characteristic
426	C₇×#107	C₂³	1	1	yes	characteristic
427	C₇×#107	C₂³	1	1	yes	characteristic
428	C₇×#107	C₂³	1	1	yes	characteristic
429	C₇×#106	C₂³	1	1	yes	characteristic
430	C₇×#106	C₂³	1	1	yes	characteristic
431	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
441	C₇×#103	C₂³	1	1	yes	characteristic
442	C₇×#103	C₂³	1	1	yes	characteristic
443	C₇×#103	C₂³	1	1	yes	characteristic
444	C₇×#103	C₂³	1	1	yes	characteristic
445	C₇×#103	C₂³	1	1	yes	characteristic
446	C₇×#103	C₂³	1	1	yes	characteristic
447	C₇×#103	C₂³	1	1	yes	characteristic
448	C₇×#103	C₂³	1	1	yes	characteristic
449	C₇×#103	C₂³	1	1	yes	characteristic
450	C₇×#103	C₂³	1	1	yes	characteristic
451	C₇×#102	C₂³	1	1	yes	characteristic
452	C₇×#102	C₂³	1	1	yes	characteristic
453	C₇×#102	C₂³	1	1	yes	characteristic
454	C₇×#102	C₂³	1	1	yes	characteristic
455	C₇×#102	C₂³	1	1	yes	characteristic
456	C₇×#102	C₂³	1	1	yes	characteristic
457	C₇×#102	C₂³	1	1	yes	characteristic
458	C₇×#102	C₂³	1	1	yes	characteristic
459	C₇×#102	C₂³	1	1	yes	characteristic
460	C₇×#102	C₂³	1	1	yes	characteristic
461	C₇×#102	C₂³	1	1	yes	characteristic
462	C₇×#102	C₂³	1	1	yes	characteristic
463	C₇×#102	C₂³	1	1	yes	characteristic
464	C₇×#102	C₂³	1	1	yes	characteristic
465	C₇×#102	C₂³	1	1	yes	characteristic
466	C₇×#102	C₂³	1	1	yes	characteristic
467	C₇×#102	C₂³	1	1	yes	characteristic
468	C₇×#102	C₂³	1	1	yes	characteristic
469	C₇×#102	C₂³	1	1	yes	characteristic
470	C₇×#102	C₂³	1	1	yes	characteristic
471	C₇×#102	C₂³	1	1	yes	characteristic
472	C₇×#102	C₂³	1	1	yes	characteristic
473	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
474	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
479	C₇×#97	C₂³	1	1	yes	characteristic
480	C₇×#97	C₂³	1	1	yes	characteristic
481	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
482	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
483	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
484	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
485	#3558	C₂×C₇	1	1	yes	characteristic, complemented
486	#3513	C₂×C₇	1	1	yes	characteristic, complemented
487	#3403	C₂×C₇	1	1	yes	characteristic, complemented
488	#3396	C₂×C₇	1	1	yes	characteristic, complemented
489	#3370	C₂×C₇	1	1	yes	characteristic, complemented
490	#3361	C₂×C₇	1	1	yes	characteristic, complemented
491	#3322	C₂×C₇	1	1	yes	characteristic, complemented
492	#3310	C₂×C₇	1	1	yes	characteristic, complemented
493	#3308	C₂×C₇	1	1	yes	characteristic, complemented
494	#3300	C₂×C₇	1	1	yes	characteristic, complemented
495	#3297	C₂×C₇	1	1	yes	characteristic, complemented
496	#3294	C₂×C₇	1	1	yes	characteristic, complemented
497	#3282	C₂×C₇	1	1	yes	characteristic, complemented
498	#3280	C₂×C₇	1	1	yes	characteristic, complemented
499	D₄×D₈	C₂×C₇	1	1	yes	characteristic, complemented
500	#3273	C₂×C₇	1	1	yes	characteristic, complemented
501	#3265	C₂×C₇	1	1	yes	characteristic, complemented
502	#3264	C₂×C₇	1	1	yes	characteristic, complemented
503	#3262	C₂×C₇	1	1	yes	characteristic, complemented
504	#3257	C₂×C₇	1	1	yes	characteristic, complemented
505	#3247	C₂×C₇	1	1	yes	characteristic, complemented
506	#3224	C₂×C₇	1	1	yes	characteristic, complemented
507	#3220	C₂×C₇	1	1	yes	characteristic, complemented
508	#3211	C₂×C₇	1	1	yes	characteristic, complemented
509	#3124	C₂×C₇	1	1	yes	characteristic, complemented
510	#3118	C₂×C₇	1	1	yes	characteristic, complemented
511	#3100	C₂×C₇	1	1	yes	characteristic, complemented
512	#3045	C₂×C₇	1	1	yes	characteristic, complemented
513	#3041	C₂×C₇	1	1	yes	characteristic, complemented
514	C₂×#463	C₂×C₇	1	1	yes	characteristic, complemented
515	#2994	C₂×C₇	1	1	yes	characteristic, complemented
516	C₂⁴×C₇	—	2	1	no	—
517	C₂⁴×C₇	—	2	1	no	—
518	C₂⁴×C₇	—	2	1	no	—
519	C₂⁴×C₇	—	2	1	no	—
520	C₂⁴×C₇	—	2	1	no	—
521	C₇×#41	—	2	2	no	—
522	C₇×#41	—	4	1	no	—
523	C₇×#41	—	4	1	no	—
524	C₇×#41	—	4	1	no	—
525	C₇×#41	—	4	1	no	—
526	C₇×#41	—	4	1	no	—
527	C₇×#41	—	8	2	no	—
528	C₇×#41	—	8	2	no	—
529	C₂×C₇×Q₈	—	2	1	no	—
530	C₂×C₇×Q₈	—	2	1	no	—
531	C₂×C₇×Q₈	—	2	1	no	—
532	C₂×C₇×Q₈	—	4	1	no	—
533	C₂×C₇×Q₈	—	4	1	no	—
534	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
535	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
536	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
537	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
538	C₂×C₇×D₄	—	2	2	no	—
539	C₂×C₇×D₄	—	2	2	no	—
540	C₂×C₇×D₄	—	2	1	no	—
541	C₂×C₇×D₄	—	2	1	no	—
542	C₂×C₇×D₄	—	2	1	no	—
543	C₂×C₇×D₄	—	2	1	no	—
544	C₂×C₇×D₄	—	2	1	no	—
545	C₂×C₇×D₄	—	2	1	no	—
546	C₂×C₇×D₄	—	2	1	no	—
547	C₂×C₇×D₄	—	2	1	no	—
548	C₂×C₇×D₄	—	2	1	no	—
549	C₂×C₇×D₄	—	2	1	no	—
550	C₂×C₇×D₄	—	2	1	no	—
551	C₂×C₇×D₄	—	2	1	no	—
552	C₂×C₇×D₄	—	2	1	no	—
553	C₂×C₇×D₄	—	2	1	no	—
554	C₂×C₇×D₄	—	2	1	no	—
555	C₂×C₇×D₄	—	2	1	no	—
556	C₂×C₇×D₄	—	2	1	no	—
557	C₂×C₇×D₄	—	2	1	no	—
558	C₂×C₇×D₄	—	2	1	no	—
559	C₂×C₇×D₄	—	2	1	no	—
560	C₂×C₇×D₄	—	2	1	no	—
561	C₂×C₇×D₄	—	2	1	no	—
562	C₂×C₇×D₄	—	2	1	no	—
563	C₂×C₇×D₄	—	2	1	no	—
564	C₂×C₇×D₄	—	4	1	no	—
565	C₂×C₇×D₄	—	4	1	no	—
566	C₂×C₇×D₄	—	4	1	no	—
567	C₂×C₇×D₄	—	4	1	no	—
568	C₂×C₇×D₄	—	4	1	no	—
569	C₂×C₇×D₄	—	4	1	no	—
570	C₂×C₇×D₄	—	4	1	no	—
571	C₂×C₇×D₄	—	4	1	no	—
572	C₂×C₇×D₄	—	8	2	no	—
573	C₂×C₇×D₄	—	8	2	no	—
574	C₂×C₇×D₄	—	8	2	no	—
575	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
576	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
577	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
578	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
579	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
580	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
581	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
582	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
583	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
584	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
585	C₂²×C₄×C₇	—	2	1	no	—
586	C₂²×C₄×C₇	—	2	1	no	—
587	C₂²×C₄×C₇	—	2	1	no	—
588	C₂²×C₄×C₇	—	2	1	no	—
589	C₂²×C₄×C₇	—	2	1	no	—
590	C₂²×C₄×C₇	—	2	1	no	—
591	C₂²×C₄×C₇	—	2	1	no	—
592	C₂²×C₄×C₇	—	2	1	no	—
593	C₂²×C₄×C₇	—	2	1	no	—
594	C₂²×C₄×C₇	—	2	1	no	—
595	C₂²×C₄×C₇	—	2	1	no	—
596	C₂²×C₄×C₇	—	2	1	no	—
597	C₂²×C₄×C₇	—	2	1	no	—
598	C₂²×C₄×C₇	—	2	1	no	—
599	C₂²×C₄×C₇	—	2	1	no	—
600	C₂²×C₄×C₇	—	2	1	no	—
601	C₂²×C₄×C₇	—	2	1	no	—
602	C₂²×C₄×C₇	—	2	1	no	—
603	C₂²×C₄×C₇	—	8	2	no	—
604	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
605	C₂²×C₄×C₇	C₂×D₄	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	C₇×Q₁₆	—	4	1	no	—
610	C₇×Q₁₆	—	4	1	no	—
611	C₇×SD₁₆	—	2	2	no	—
612	C₇×SD₁₆	—	2	2	no	—
613	C₇×SD₁₆	—	4	1	no	—
614	C₇×SD₁₆	—	4	1	no	—
615	C₇×SD₁₆	—	4	1	no	—
616	C₇×SD₁₆	—	4	1	no	—
617	C₇×SD₁₆	—	4	1	no	—
618	C₇×SD₁₆	—	4	1	no	—
619	C₇×SD₁₆	—	4	1	no	—
620	C₇×SD₁₆	—	4	1	no	—
621	C₇×D₈	—	2	2	no	—
622	C₇×D₈	—	2	2	no	—
623	C₇×D₈	—	2	2	no	—
624	C₇×D₈	—	2	2	no	—
625	C₇×D₈	—	4	1	no	—
626	C₇×D₈	—	4	1	no	—
627	C₇×D₈	—	4	1	no	—
628	C₇×D₈	—	4	1	no	—
629	C₇×D₈	—	4	1	no	—
630	C₇×D₈	—	4	1	no	—
631	C₇×D₈	—	4	1	no	—
632	C₇×D₈	—	4	1	no	—
633	C₇×M₁₆	—	4	1	no	—
634	C₇×M₁₆	—	4	1	no	—
635	C₂×C₇×C₈	—	4	1	no	—
636	C₂×C₇×C₈	—	4	1	no	—
637	C₂×C₇×C₈	—	4	1	no	—
638	C₂×C₇×C₈	—	4	1	no	—
639	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
640	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
641	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
642	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
643	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
644	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
645	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
646	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
647	C₇×C₄⋊C₄	—	2	1	no	—
648	C₇×C₄⋊C₄	—	2	1	no	—
649	C₇×C₄⋊C₄	—	2	1	no	—
650	C₇×C₄⋊C₄	—	2	1	no	—
651	C₇×C₄⋊C₄	—	2	1	no	—
652	C₇×C₄⋊C₄	—	2	1	no	—
653	C₇×C₄⋊C₄	—	2	1	no	—
654	C₇×C₄⋊C₄	—	2	1	no	—
655	C₇×C₄⋊C₄	—	2	1	no	—
656	C₇×C₄⋊C₄	—	2	1	no	—
657	C₇×C₄⋊C₄	—	2	1	no	—
658	C₇×C₄⋊C₄	—	2	1	no	—
659	C₇×C₄⋊C₄	—	2	1	no	—
660	C₇×C₄⋊C₄	—	2	1	no	—
661	C₇×C₄⋊C₄	—	2	1	no	—
662	C₇×C₄⋊C₄	—	2	1	no	—
663	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
664	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
665	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
666	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
668	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
672	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
673	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
674	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
675	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
676	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
677	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
678	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
679	C₇×C₂²⋊C₄	—	2	1	no	—
680	C₇×C₂²⋊C₄	—	2	1	no	—
681	C₇×C₂²⋊C₄	—	2	1	no	—
682	C₇×C₂²⋊C₄	—	2	1	no	—
683	C₇×C₂²⋊C₄	—	2	1	no	—
684	C₇×C₂²⋊C₄	—	2	1	no	—
685	C₇×C₂²⋊C₄	—	2	1	no	—
686	C₇×C₂²⋊C₄	—	2	1	no	—
687	C₇×C₂²⋊C₄	—	2	1	no	—
688	C₇×C₂²⋊C₄	—	2	1	no	—
689	C₇×C₂²⋊C₄	—	2	1	no	—
690	C₇×C₂²⋊C₄	—	2	1	no	—
691	C₇×C₂²⋊C₄	—	2	1	no	—
692	C₇×C₂²⋊C₄	—	2	1	no	—
693	C₇×C₂²⋊C₄	—	2	1	no	—
694	C₇×C₂²⋊C₄	—	2	1	no	—
695	C₇×C₂²⋊C₄	—	2	1	no	—
696	C₇×C₂²⋊C₄	—	2	1	no	—
697	C₇×C₂²⋊C₄	—	2	1	no	—
698	C₇×C₂²⋊C₄	—	2	1	no	—
699	C₇×C₂²⋊C₄	—	2	1	no	—
700	C₇×C₂²⋊C₄	—	2	1	no	—
701	C₇×C₂²⋊C₄	—	2	1	no	—
702	C₇×C₂²⋊C₄	—	2	1	no	—
703	C₇×C₂²⋊C₄	—	2	1	no	—
704	C₇×C₂²⋊C₄	—	2	1	no	—
705	C₇×C₂²⋊C₄	—	2	1	no	—
706	C₇×C₂²⋊C₄	—	2	1	no	—
707	C₇×C₂²⋊C₄	—	2	1	no	—
708	C₇×C₂²⋊C₄	—	2	1	no	—
709	C₇×C₂²⋊C₄	—	2	1	no	—
710	C₇×C₂²⋊C₄	—	2	1	no	—
711	C₇×C₂²⋊C₄	—	2	1	no	—
712	C₇×C₂²⋊C₄	—	2	1	no	—
713	C₇×C₂²⋊C₄	—	2	1	no	—
714	C₇×C₂²⋊C₄	—	2	1	no	—
715	C₇×C₂²⋊C₄	—	2	1	no	—
716	C₇×C₂²⋊C₄	—	2	1	no	—
717	C₇×C₂²⋊C₄	—	2	1	no	—
718	C₇×C₂²⋊C₄	—	2	1	no	—
719	C₇×C₂²⋊C₄	—	2	1	no	—
720	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
721	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
722	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
723	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
724	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
725	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
726	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
727	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
728	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
729	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
730	C₄²×C₇	—	2	1	no	—
731	C₄²×C₇	—	2	1	no	—
732	C₄²×C₇	—	2	1	no	—
733	C₄²×C₇	—	2	1	no	—
734	C₄²×C₇	—	2	1	no	—
735	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
736	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
737	C₄²×C₇	C₂⁴	1	1	yes	characteristic
738	C₄²×C₇	C₂⁴	1	1	yes	characteristic
739	C₄²×C₇	C₂⁴	1	1	yes	characteristic
740	C₄²×C₇	C₂⁴	1	1	yes	characteristic
741	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic, complemented
742	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic, complemented
743	C₂×#135	C₂²×C₇	1	1	yes	characteristic, complemented
744	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
745	C₂²×D₈	C₂²×C₇	1	1	yes	characteristic
746	C₂²×D₈	C₂²×C₇	1	1	yes	characteristic, complemented
747	#562	—	2	1	no	—
748	H(3,𝔽₄)	—	2	1	no	—
749	#559	C₂²×C₇	1	1	yes	characteristic, complemented
750	#559	C₂²×C₇	1	1	yes	characteristic, complemented
751	#559	C₂²×C₇	1	1	yes	characteristic, complemented
752	#554	C₂²×C₇	1	1	yes	characteristic, complemented
753	#553	—	2	1	no	—
754	#553	C₂²×C₇	1	1	yes	characteristic, complemented
755	#552	C₂²×C₇	1	1	yes	characteristic, complemented
756	#551	—	2	1	no	—
757	#551	—	2	1	no	—
758	#548	C₂²×C₇	1	1	yes	characteristic
759	#548	C₂²×C₇	1	1	yes	characteristic, complemented
760	#547	C₂²×C₇	1	1	yes	characteristic, complemented
761	#546	—	2	1	no	—
762	#546	—	2	1	no	—
763	#546	—	2	1	no	—
764	#546	C₂²×C₇	1	1	yes	characteristic, complemented
765	#546	C₂²×C₇	1	1	yes	characteristic, complemented
766	#546	C₂²×C₇	1	1	yes	characteristic, complemented
767	#546	C₂²×C₇	1	1	yes	characteristic, complemented
768	D₄²	C₂²×C₇	1	1	yes	characteristic
769	D₄²	C₂²×C₇	1	1	yes	characteristic, complemented
770	D₄²	C₂²×C₇	1	1	yes	characteristic, complemented
771	#542	C₂²×C₇	1	1	yes	characteristic, complemented
772	#542	C₂²×C₇	1	1	yes	characteristic, complemented
773	#542	C₂²×C₇	1	1	yes	characteristic, complemented
774	#540	C₂²×C₇	1	1	yes	characteristic, complemented
775	#539	—	2	1	no	—
776	#538	—	2	1	no	—
777	#538	—	2	1	no	—
778	#538	—	2	1	no	—
779	#538	—	2	1	no	—
780	#535	C₂²×C₇	1	1	yes	characteristic, complemented
781	#535	C₂²×C₇	1	1	yes	characteristic, complemented
782	#534	—	2	1	no	—
783	#532	C₂²×C₇	1	1	yes	characteristic, complemented
784	#529	C₂²×C₇	1	1	yes	characteristic
785	#529	C₂²×C₇	1	1	yes	characteristic, complemented
786	C₂×#124	C₂²×C₇	1	1	yes	characteristic, complemented
787	#525	—	2	1	no	—
788	C₂×#123	—	2	1	no	—
789	#520	C₂²×C₇	1	1	yes	characteristic, complemented
790	#518	C₂²×C₇	1	1	yes	characteristic, complemented
791	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
792	#496	C₂²×C₇	1	1	yes	characteristic, complemented
793	#496	C₂²×C₇	1	1	yes	characteristic, complemented
794	#495	C₂²×C₇	1	1	yes	characteristic, complemented
795	#495	C₂²×C₇	1	1	yes	characteristic, complemented
796	#495	C₂²×C₇	1	1	yes	characteristic, complemented
797	#493	C₂²×C₇	1	1	yes	characteristic
798	#490	C₂²×C₇	1	1	yes	characteristic, complemented
799	#489	C₂²×C₇	1	1	yes	characteristic, complemented
800	#488	C₂²×C₇	1	1	yes	characteristic, complemented
801	#488	C₂²×C₇	1	1	yes	characteristic, complemented
802	#488	C₂²×C₇	1	1	yes	characteristic, complemented
803	#486	C₂²×C₇	1	1	yes	characteristic, complemented
804	#485	C₂²×C₇	1	1	yes	characteristic, complemented
805	#484	C₂²×C₇	1	1	yes	characteristic, complemented
806	#482	C₂²×C₇	1	1	yes	characteristic, complemented
807	#480	C₂²×C₇	1	1	yes	characteristic, complemented
808	#480	C₂²×C₇	1	1	yes	characteristic, complemented
809	#480	C₂²×C₇	1	1	yes	characteristic, complemented
810	#479	C₂²×C₇	1	1	yes	characteristic, complemented
811	#478	C₂²×C₇	1	1	yes	characteristic, complemented
812	#478	C₂²×C₇	1	1	yes	characteristic, complemented
813	#478	C₂²×C₇	1	1	yes	characteristic, complemented
814	#477	C₂²×C₇	1	1	yes	characteristic, complemented
815	#477	C₂²×C₇	1	1	yes	characteristic, complemented
816	#476	C₂²×C₇	1	1	yes	characteristic, complemented
817	#474	C₂²×C₇	1	1	yes	characteristic, complemented
818	#474	C₂²×C₇	1	1	yes	characteristic, complemented
819	#474	C₂²×C₇	1	1	yes	characteristic, complemented
820	#469	C₂²×C₇	1	1	yes	characteristic, complemented
821	#468	C₂²×C₇	1	1	yes	characteristic, complemented
822	#468	C₂²×C₇	1	1	yes	characteristic, complemented
823	#468	C₂²×C₇	1	1	yes	characteristic, complemented
824	#467	C₂²×C₇	1	1	yes	characteristic, complemented
825	#466	C₂²×C₇	1	1	yes	characteristic
826	#466	C₂²×C₇	1	1	yes	characteristic, complemented
827	#466	C₂²×C₇	1	1	yes	characteristic, complemented
828	#466	C₂²×C₇	1	1	yes	characteristic, complemented
829	#465	C₂²×C₇	1	1	yes	characteristic, complemented
830	#465	C₂²×C₇	1	1	yes	characteristic, complemented
831	#465	C₂²×C₇	1	1	yes	characteristic, complemented
832	#464	C₂²×C₇	1	1	yes	characteristic, complemented
833	#464	C₂²×C₇	1	1	yes	characteristic, complemented
834	#464	C₂²×C₇	1	1	yes	characteristic, complemented
835	#464	C₂²×C₇	1	1	yes	characteristic, complemented
836	#463	C₂²×C₇	1	1	yes	characteristic, complemented
837	#463	C₂²×C₇	1	1	yes	characteristic, complemented
838	#463	C₂²×C₇	1	1	yes	characteristic, complemented
839	#463	C₂²×C₇	1	1	yes	characteristic, complemented
840	#463	C₂²×C₇	1	1	yes	characteristic, complemented
841	#463	C₂²×C₇	1	1	yes	characteristic, complemented
842	#463	C₂²×C₇	1	1	yes	characteristic, complemented
843	#463	C₂²×C₇	1	1	yes	characteristic, complemented
844	#463	C₂²×C₇	1	1	yes	characteristic, complemented
845	#463	C₂²×C₇	1	1	yes	characteristic, complemented
846	#463	C₂²×C₇	1	1	yes	characteristic, complemented
847	#463	C₂²×C₇	1	1	yes	characteristic, complemented
848	#463	C₂²×C₇	1	1	yes	characteristic, complemented
849	#463	C₂²×C₇	1	1	yes	characteristic, complemented
850	#463	C₂²×C₇	1	1	yes	characteristic, complemented
851	#463	C₂²×C₇	1	1	yes	characteristic, complemented
852	#460	C₂²×C₇	1	1	yes	characteristic, complemented
853	#460	C₂²×C₇	1	1	yes	characteristic, complemented
854	#460	C₂²×C₇	1	1	yes	characteristic, complemented
855	#459	C₂²×C₇	1	1	yes	characteristic
856	#459	C₂²×C₇	1	1	yes	characteristic
857	#459	C₂²×C₇	1	1	yes	characteristic, complemented
858	#459	C₂²×C₇	1	1	yes	characteristic, complemented
859	#459	C₂²×C₇	1	1	yes	characteristic, complemented
860	#459	C₂²×C₇	1	1	yes	characteristic, complemented
861	#459	C₂²×C₇	1	1	yes	characteristic, complemented
862	#452	C₂²×C₇	1	1	yes	characteristic, complemented
863	#452	C₂²×C₇	1	1	yes	characteristic, complemented
864	#451	C₂²×C₇	1	1	yes	characteristic, complemented
865	#450	C₂²×C₇	1	1	yes	characteristic, complemented
866	#450	C₂²×C₇	1	1	yes	characteristic, complemented
867	#450	C₂²×C₇	1	1	yes	characteristic, complemented
868	#449	C₂²×C₇	1	1	yes	characteristic
869	#449	C₂²×C₇	1	1	yes	characteristic, complemented
870	#449	C₂²×C₇	1	1	yes	characteristic, complemented
871	#449	C₂²×C₇	1	1	yes	characteristic, complemented
872	#448	C₂²×C₇	1	1	yes	characteristic, complemented
873	#447	C₂²×C₇	1	1	yes	characteristic
874	#447	C₂²×C₇	1	1	yes	characteristic
875	#447	C₂²×C₇	1	1	yes	characteristic, complemented
876	#447	C₂²×C₇	1	1	yes	characteristic, complemented
877	#447	C₂²×C₇	1	1	yes	characteristic, complemented
878	#447	C₂²×C₇	1	1	yes	characteristic, complemented
879	#447	C₂²×C₇	1	1	yes	characteristic, complemented
880	#446	C₂²×C₇	1	1	yes	characteristic, complemented
881	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
882	#442	C₂²×C₇	1	1	yes	characteristic, complemented
883	#440	C₂²×C₇	1	1	yes	characteristic, complemented
884	#440	C₂²×C₇	1	1	yes	characteristic, complemented
885	#440	C₂²×C₇	1	1	yes	characteristic, complemented
886	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
887	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
888	C₄×D₈	C₂²×C₇	1	1	yes	characteristic, complemented
889	C₄×D₈	C₂²×C₇	1	1	yes	characteristic, complemented
890	C₄×D₈	C₂²×C₇	1	1	yes	characteristic, complemented
891	C₄×D₈	C₂²×C₇	1	1	yes	characteristic, complemented
892	C₄×D₈	C₂²×C₇	1	1	yes	characteristic, complemented
893	C₄×D₈	C₂²×C₇	1	1	yes	characteristic, complemented
894	#436	C₂²×C₇	1	1	yes	characteristic, complemented
895	#435	C₂²×C₇	1	1	yes	characteristic, complemented
896	#435	C₂²×C₇	1	1	yes	characteristic, complemented
897	C₈×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
898	C₈×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
899	C₈×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
900	#433	C₂²×C₇	1	1	yes	characteristic, complemented
901	#433	C₂²×C₇	1	1	yes	characteristic, complemented
902	#431	C₂²×C₇	1	1	yes	characteristic, complemented
903	#424	C₂²×C₇	1	1	yes	characteristic, complemented
904	#424	C₂²×C₇	1	1	yes	characteristic, complemented
905	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
906	#418	C₂²×C₇	1	1	yes	characteristic, complemented
907	#417	C₂²×C₇	1	1	yes	characteristic, complemented
908	#416	C₂²×C₇	1	1	yes	characteristic, complemented
909	C₂×#103	C₂²×C₇	1	1	yes	characteristic, complemented
910	C₂×#102	C₂²×C₇	1	1	yes	characteristic, complemented
911	C₂×#102	C₂²×C₇	1	1	yes	characteristic, complemented
912	C₂³×C₇	—	2	1	no	—
913	C₂³×C₇	—	2	1	no	—
914	C₂³×C₇	—	2	1	no	—
915	C₂³×C₇	—	2	1	no	—
916	C₂³×C₇	—	2	1	no	—
917	C₂³×C₇	—	2	1	no	—
918	C₂³×C₇	—	2	1	no	—
919	C₂³×C₇	—	4	2	no	—
920	C₂³×C₇	—	4	2	no	—
921	C₂³×C₇	—	4	2	no	—
922	C₂³×C₇	—	4	2	no	—
923	C₂³×C₇	—	8	1	no	—
924	C₂³×C₇	—	8	1	no	—
925	C₂³×C₇	—	8	1	no	—
926	C₂³×C₇	—	8	1	no	—
927	C₂³×C₇	—	8	1	no	—
928	C₂³×C₇	—	8	1	no	—
929	C₂³×C₇	—	8	1	no	—
930	C₂³×C₇	—	8	1	no	—
931	C₂³×C₇	—	8	1	no	—
932	C₂³×C₇	—	8	1	no	—
933	C₂³×C₇	—	8	1	no	—
934	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
935	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
936	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
937	C₇×Q₈	—	2	1	no	—
938	C₇×Q₈	—	2	1	no	—
939	C₇×Q₈	—	2	1	no	—
940	C₇×Q₈	—	2	1	no	—
941	C₇×Q₈	—	2	1	no	—
942	C₇×Q₈	—	2	1	no	—
943	C₇×Q₈	—	4	1	no	—
944	C₇×Q₈	—	8	1	no	—
945	C₇×Q₈	—	8	1	no	—
946	C₇×Q₈	—	8	1	no	—
947	C₇×D₄	—	2	2	no	—
948	C₇×D₄	—	2	2	no	—
949	C₇×D₄	—	2	1	no	—
950	C₇×D₄	—	2	1	no	—
951	C₇×D₄	—	2	1	no	—
952	C₇×D₄	—	2	1	no	—
953	C₇×D₄	—	2	1	no	—
954	C₇×D₄	—	2	1	no	—
955	C₇×D₄	—	2	1	no	—
956	C₇×D₄	—	2	1	no	—
957	C₇×D₄	—	2	1	no	—
958	C₇×D₄	—	2	1	no	—
959	C₇×D₄	—	2	1	no	—
960	C₇×D₄	—	2	1	no	—
961	C₇×D₄	—	2	1	no	—
962	C₇×D₄	—	4	1	no	—
963	C₇×D₄	—	4	2	no	—
964	C₇×D₄	—	4	2	no	—
965	C₇×D₄	—	4	2	no	—
966	C₇×D₄	—	4	2	no	—
967	C₇×D₄	—	4	2	no	—
968	C₇×D₄	—	4	2	no	—
969	C₇×D₄	—	8	1	no	—
970	C₇×D₄	—	8	1	no	—
971	C₇×D₄	—	8	1	no	—
972	C₇×D₄	—	8	1	no	—
973	C₇×D₄	—	8	1	no	—
974	C₇×D₄	—	8	1	no	—
975	C₇×D₄	—	8	1	no	—
976	C₇×D₄	—	8	1	no	—
977	C₇×D₄	—	8	1	no	—
978	C₇×D₄	—	8	1	no	—
979	C₇×D₄	—	8	1	no	—
980	C₇×D₄	—	8	1	no	—
981	C₇×D₄	—	8	1	no	—
982	C₇×D₄	—	8	1	no	—
983	C₇×D₄	—	8	1	no	—
984	C₇×D₄	—	8	1	no	—
985	C₇×D₄	—	8	1	no	—
986	C₇×D₄	—	8	1	no	—
987	C₇×D₄	H(5,𝔽₂)	1	2	yes	—
988	C₂×C₄×C₇	—	2	2	no	—
989	C₂×C₄×C₇	—	2	1	no	—
990	C₂×C₄×C₇	—	2	1	no	—
991	C₂×C₄×C₇	—	2	1	no	—
992	C₂×C₄×C₇	—	2	1	no	—
993	C₂×C₄×C₇	—	2	1	no	—
994	C₂×C₄×C₇	—	2	1	no	—
995	C₂×C₄×C₇	—	2	1	no	—
996	C₂×C₄×C₇	—	2	1	no	—
997	C₂×C₄×C₇	—	2	1	no	—
998	C₂×C₄×C₇	—	2	1	no	—
999	C₂×C₄×C₇	—	2	1	no	—
1000	C₂×C₄×C₇	—	2	1	no	—
1001	C₂×C₄×C₇	—	2	1	no	—
1002	C₂×C₄×C₇	—	2	1	no	—
1003	C₂×C₄×C₇	—	2	1	no	—
1004	C₂×C₄×C₇	—	4	1	no	—
1005	C₂×C₄×C₇	—	4	2	no	—
1006	C₂×C₄×C₇	—	4	2	no	—
1007	C₂×C₄×C₇	—	8	1	no	—
1008	C₂×C₄×C₇	—	8	1	no	—
1009	C₂×C₄×C₇	—	8	1	no	—
1010	C₂×C₄×C₇	—	8	1	no	—
1011	C₂×C₄×C₇	—	8	1	no	—
1012	C₂×C₄×C₇	—	8	1	no	—
1013	C₂×C₄×C₇	—	8	1	no	—
1014	C₂×C₄×C₇	—	8	1	no	—
1015	C₂×C₄×C₇	—	8	1	no	—
1016	C₂×C₄×C₇	—	8	1	no	—
1017	C₂×C₄×C₇	—	8	1	no	—
1018	C₂×C₄×C₇	—	8	1	no	—
1019	C₂×C₄×C₇	—	8	1	no	—
1020	C₂×C₄×C₇	—	8	1	no	—
1021	C₂×C₄×C₇	—	8	1	no	—
1022	C₂×C₄×C₇	—	8	1	no	—
1023	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1024	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1025	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1026	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1027	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1028	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1029	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1030	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1031	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1032	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1033	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1034	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1035	C₇×C₈	—	2	1	no	—
1036	C₇×C₈	—	2	1	no	—
1037	C₇×C₈	—	2	1	no	—
1038	C₇×C₈	—	2	1	no	—
1039	C₇×C₈	—	2	1	no	—
1040	C₇×C₈	—	2	1	no	—
1041	C₇×C₈	—	2	1	no	—
1042	C₇×C₈	—	2	1	no	—
1043	C₂×#41	—	2	1	no	—
1044	C₂×#41	—	2	1	no	—
1045	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1046	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1047	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1048	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1049	C₂²×D₄	—	2	1	no	—
1050	C₂²×D₄	—	2	1	no	—
1051	C₂²×D₄	—	2	1	no	—
1052	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1053	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1054	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1055	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1056	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1057	C₂³×C₄	—	2	1	no	—
1058	AGL(1,ℤ/8)	—	4	2	no	—
1059	AGL(1,ℤ/8)	—	4	2	no	—
1060	#135	—	4	2	no	—
1061	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1062	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1063	C₂×SD₁₆	—	4	2	no	—
1064	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1065	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1066	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1067	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1068	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1069	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1070	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1071	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1072	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1073	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1074	C₂×D₈	—	4	2	no	—
1075	C₂×D₈	—	4	2	no	—
1076	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1077	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1078	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1079	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1080	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1081	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1082	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1083	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1084	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1085	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1086	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1087	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1088	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1089	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1090	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1091	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1092	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1093	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1094	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1095	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1096	#127	C₂³×C₇	1	1	yes	characteristic
1097	#127	C₂³×C₇	1	1	yes	characteristic
1098	#127	C₂³×C₇	1	1	yes	characteristic
1099	#127	C₂³×C₇	1	1	yes	characteristic
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	2	1	no	—
1103	#126	—	2	1	no	—
1104	#126	—	2	1	no	—
1105	#126	—	2	1	no	—
1106	#126	C₇×D₄	1	1	yes	characteristic
1107	#126	C₇×D₄	1	1	yes	characteristic
1108	#125	—	2	1	no	—
1109	#125	C₇×D₄	1	1	yes	characteristic
1110	#125	C₂³×C₇	1	1	yes	characteristic
1111	#125	C₂³×C₇	1	1	yes	characteristic
1112	#124	—	2	1	no	—
1113	#124	—	2	1	no	—
1114	#124	—	2	1	no	—
1115	#124	—	2	1	no	—
1116	#124	—	2	1	no	—
1117	#124	—	2	1	no	—
1118	#124	—	2	1	no	—
1119	#124	—	2	1	no	—
1120	#124	—	2	1	no	—
1121	#124	—	2	1	no	—
1122	#124	—	2	1	no	—
1123	#124	C₇×D₄	1	1	yes	characteristic
1124	#124	C₂³×C₇	1	1	yes	characteristic
1125	#124	C₂³×C₇	1	1	yes	characteristic
1126	#124	C₂³×C₇	1	1	yes	characteristic
1127	#124	C₂³×C₇	1	1	yes	characteristic
1128	#124	C₂³×C₇	1	1	yes	characteristic
1129	#124	C₂³×C₇	1	1	yes	characteristic
1130	#124	C₂³×C₇	1	1	yes	characteristic
1131	#124	C₂³×C₇	1	1	yes	characteristic
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	#123	—	2	1	no	—
1144	#123	—	2	1	no	—
1145	#123	—	2	1	no	—
1146	#123	—	2	1	no	—
1147	#123	—	2	1	no	—
1148	#123	—	2	1	no	—
1149	#123	—	2	1	no	—
1150	#123	—	2	1	no	—
1151	#123	—	2	1	no	—
1152	#123	C₇×D₄	1	1	yes	characteristic
1153	#123	C₇×D₄	1	1	yes	characteristic
1154	C₂²⋊Q₈	—	2	1	no	—
1155	C₂²⋊Q₈	—	2	1	no	—
1156	C₂²⋊Q₈	—	2	1	no	—
1157	C₂²⋊Q₈	—	2	1	no	—
1158	C₂²⋊Q₈	—	2	1	no	—
1159	C₂²⋊Q₈	—	2	1	no	—
1160	C₂²⋊Q₈	—	2	1	no	—
1161	C₂²⋊Q₈	—	2	1	no	—
1162	C₂²⋊Q₈	—	2	1	no	—
1163	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
1164	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1165	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1166	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1167	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	—	2	1	no	—
1179	#121	—	2	1	no	—
1180	#121	—	2	1	no	—
1181	#121	—	2	1	no	—
1182	#121	—	2	1	no	—
1183	#121	—	2	1	no	—
1184	#121	—	2	1	no	—
1185	#121	C₇×D₄	1	1	yes	characteristic
1186	#121	C₂³×C₇	1	1	yes	characteristic
1187	#121	C₂³×C₇	1	1	yes	characteristic
1188	#121	C₂³×C₇	1	1	yes	characteristic
1189	#121	C₂³×C₇	1	1	yes	characteristic
1190	#121	C₂³×C₇	1	1	yes	characteristic
1191	#121	C₂³×C₇	1	1	yes	characteristic
1192	#121	C₂³×C₇	1	1	yes	characteristic
1193	#121	C₂³×C₇	1	1	yes	characteristic
1194	#120	—	2	1	no	—
1195	#120	—	2	1	no	—
1196	#120	—	2	1	no	—
1197	#120	—	2	1	no	—
1198	#120	—	2	1	no	—
1199	#120	—	2	1	no	—
1200	#120	—	2	1	no	—
1201	#120	—	2	1	no	—
1202	#120	—	2	1	no	—
1203	#120	—	2	1	no	—
1204	#120	—	2	1	no	—
1205	#120	—	2	1	no	—
1206	#120	—	2	1	no	—
1207	#120	—	2	1	no	—
1208	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1209	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1210	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1211	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1212	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	—	2	1	no	—
1219	C₄×D₄	—	2	1	no	—
1220	C₄×D₄	—	2	1	no	—
1221	C₄×D₄	—	2	1	no	—
1222	C₄×D₄	—	2	1	no	—
1223	C₄×D₄	—	2	1	no	—
1224	C₄×D₄	—	2	1	no	—
1225	C₄×D₄	—	2	1	no	—
1226	C₄×D₄	—	2	1	no	—
1227	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1228	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1229	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1230	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1231	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1232	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1233	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1234	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1235	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1236	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1237	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1238	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1239	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1240	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1241	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1242	#117	—	2	1	no	—
1243	#117	—	2	1	no	—
1244	#117	—	2	1	no	—
1245	#117	C₂³×C₇	1	1	yes	characteristic
1246	#117	C₂³×C₇	1	1	yes	characteristic
1247	#117	C₂³×C₇	1	1	yes	characteristic
1248	C₂×C₄⋊C₄	—	2	1	no	—
1249	C₂×C₄⋊C₄	—	2	1	no	—
1250	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1251	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1252	C₂×C₂²⋊C₄	—	2	1	no	—
1253	C₂×C₂²⋊C₄	—	2	1	no	—
1254	C₂×C₂²⋊C₄	—	2	1	no	—
1255	C₂×C₂²⋊C₄	—	2	1	no	—
1256	C₂×C₂²⋊C₄	—	2	1	no	—
1257	C₂×C₂²⋊C₄	—	2	1	no	—
1258	C₂×C₂²⋊C₄	—	2	1	no	—
1259	C₂×C₂²⋊C₄	—	2	1	no	—
1260	C₂×C₂²⋊C₄	—	2	1	no	—
1261	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1262	#107	C₂³×C₇	1	1	yes	characteristic
1263	#107	C₂³×C₇	1	1	yes	characteristic
1264	#107	C₂³×C₇	1	1	yes	characteristic
1265	#107	C₂³×C₇	1	1	yes	characteristic
1266	#107	C₂³×C₇	1	1	yes	characteristic
1267	#107	C₂³×C₇	1	1	yes	characteristic
1268	#106	C₂³×C₇	1	1	yes	characteristic
1269	#106	C₂³×C₇	1	1	yes	characteristic
1270	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1271	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1272	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1273	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1274	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1275	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1276	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1277	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1278	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1279	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1280	#103	C₂³×C₇	1	1	yes	characteristic
1281	#103	C₂³×C₇	1	1	yes	characteristic
1282	#103	C₂³×C₇	1	1	yes	characteristic
1283	#103	C₂³×C₇	1	1	yes	characteristic
1284	#103	C₂³×C₇	1	1	yes	characteristic
1285	#103	C₂³×C₇	1	1	yes	characteristic
1286	#103	C₂³×C₇	1	1	yes	characteristic
1287	#103	C₂³×C₇	1	1	yes	characteristic
1288	#103	C₂³×C₇	1	1	yes	characteristic
1289	#103	C₂³×C₇	1	1	yes	characteristic
1290	#102	C₂³×C₇	1	1	yes	characteristic
1291	#102	C₂³×C₇	1	1	yes	characteristic
1292	#102	C₂³×C₇	1	1	yes	characteristic
1293	#102	C₂³×C₇	1	1	yes	characteristic
1294	#102	C₂³×C₇	1	1	yes	characteristic
1295	#102	C₂³×C₇	1	1	yes	characteristic
1296	#102	C₂³×C₇	1	1	yes	characteristic
1297	#102	C₂³×C₇	1	1	yes	characteristic
1298	#102	C₂³×C₇	1	1	yes	characteristic
1299	#102	C₂³×C₇	1	1	yes	characteristic
1300	#102	C₂³×C₇	1	1	yes	characteristic
1301	#102	C₂³×C₇	1	1	yes	characteristic
1302	#102	C₂³×C₇	1	1	yes	characteristic
1303	#102	C₂³×C₇	1	1	yes	characteristic
1304	#102	C₂³×C₇	1	1	yes	characteristic
1305	#102	C₂³×C₇	1	1	yes	characteristic
1306	#102	C₂³×C₇	1	1	yes	characteristic
1307	#102	C₂³×C₇	1	1	yes	characteristic
1308	#102	C₂³×C₇	1	1	yes	characteristic
1309	#102	C₂³×C₇	1	1	yes	characteristic
1310	#102	C₂³×C₇	1	1	yes	characteristic
1311	#102	C₂³×C₇	1	1	yes	characteristic
1312	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1313	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1314	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1315	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1316	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1317	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1318	#97	C₂³×C₇	1	1	yes	characteristic
1319	#97	C₂³×C₇	1	1	yes	characteristic
1320	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1321	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1322	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1323	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1324	C₂²×C₇	—	2	1	no	—
1325	C₂²×C₇	—	2	1	no	—
1326	C₂²×C₇	—	2	1	no	—
1327	C₂²×C₇	—	2	1	no	—
1328	C₂²×C₇	—	2	1	no	—
1329	C₂²×C₇	—	2	1	no	—
1330	C₂²×C₇	—	2	2	no	—
1331	C₂²×C₇	—	2	1	no	—
1332	C₂²×C₇	—	2	1	no	—
1333	C₂²×C₇	—	4	1	no	—
1334	C₂²×C₇	—	4	1	no	—
1335	C₂²×C₇	—	4	1	no	—
1336	C₂²×C₇	—	4	1	no	—
1337	C₂²×C₇	—	4	1	no	—
1338	C₂²×C₇	—	4	1	no	—
1339	C₂²×C₇	—	4	1	no	—
1340	C₂²×C₇	—	4	1	no	—
1341	C₂²×C₇	—	4	1	no	—
1342	C₂²×C₇	—	4	1	no	—
1343	C₂²×C₇	—	4	1	no	—
1344	C₂²×C₇	—	4	1	no	—
1345	C₂²×C₇	—	4	1	no	—
1346	C₂²×C₇	—	4	1	no	—
1347	C₂²×C₇	—	4	1	no	—
1348	C₂²×C₇	—	4	1	no	—
1349	C₂²×C₇	—	4	1	no	—
1350	C₂²×C₇	—	4	1	no	—
1351	C₂²×C₇	—	4	1	no	—
1352	C₂²×C₇	—	4	1	no	—
1353	C₂²×C₇	—	8	4	no	—
1354	C₂²×C₇	—	16	2	no	—
1355	C₂²×C₇	—	16	2	no	—
1356	C₂²×C₇	—	16	2	no	—
1357	C₂²×C₇	—	16	2	no	—
1358	C₂²×C₇	#576	1	2	yes	—
1359	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1360	C₄×C₇	—	2	1	no	—
1361	C₄×C₇	—	2	1	no	—
1362	C₄×C₇	—	2	1	no	—
1363	C₄×C₇	—	2	1	no	—
1364	C₄×C₇	—	2	1	no	—
1365	C₄×C₇	—	2	1	no	—
1366	C₄×C₇	—	2	1	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	—	4	1	no	—
1372	C₄×C₇	—	4	1	no	—
1373	C₄×C₇	—	4	1	no	—
1374	C₄×C₇	—	4	1	no	—
1375	C₄×C₇	—	4	1	no	—
1376	C₄×C₇	—	4	1	no	—
1377	C₄×C₇	—	4	1	no	—
1378	C₄×C₇	—	4	1	no	—
1379	C₄×C₇	—	4	1	no	—
1380	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1381	C₄×C₇	#585	1	1	yes	characteristic
1382	C₂⁴	—	2	1	no	—
1383	C₂⁴	—	2	1	no	—
1384	C₂⁴	—	2	1	no	—
1385	C₂⁴	—	2	1	no	—
1386	C₂⁴	—	2	1	no	—
1387	#41	—	2	2	no	—
1388	#41	—	4	1	no	—
1389	#41	—	4	1	no	—
1390	#41	—	4	1	no	—
1391	#41	—	4	1	no	—
1392	#41	—	4	1	no	—
1393	#41	—	8	2	no	—
1394	#41	—	8	2	no	—
1395	C₂×Q₈	—	2	1	no	—
1396	C₂×Q₈	—	2	1	no	—
1397	C₂×Q₈	—	2	1	no	—
1398	C₂×Q₈	—	4	1	no	—
1399	C₂×Q₈	—	4	1	no	—
1400	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1401	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1402	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1403	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1404	C₂×D₄	—	2	2	no	—
1405	C₂×D₄	—	2	2	no	—
1406	C₂×D₄	—	2	1	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	2	1	no	—
1410	C₂×D₄	—	2	1	no	—
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	2	1	no	—
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	2	1	no	—
1419	C₂×D₄	—	2	1	no	—
1420	C₂×D₄	—	2	1	no	—
1421	C₂×D₄	—	2	1	no	—
1422	C₂×D₄	—	2	1	no	—
1423	C₂×D₄	—	2	1	no	—
1424	C₂×D₄	—	2	1	no	—
1425	C₂×D₄	—	2	1	no	—
1426	C₂×D₄	—	2	1	no	—
1427	C₂×D₄	—	2	1	no	—
1428	C₂×D₄	—	2	1	no	—
1429	C₂×D₄	—	2	1	no	—
1430	C₂×D₄	—	4	1	no	—
1431	C₂×D₄	—	4	1	no	—
1432	C₂×D₄	—	4	1	no	—
1433	C₂×D₄	—	4	1	no	—
1434	C₂×D₄	—	4	1	no	—
1435	C₂×D₄	—	4	1	no	—
1436	C₂×D₄	—	4	1	no	—
1437	C₂×D₄	—	4	1	no	—
1438	C₂×D₄	—	8	2	no	—
1439	C₂×D₄	—	8	2	no	—
1440	C₂×D₄	—	8	2	no	—
1441	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1442	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1443	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1444	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1445	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1446	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1447	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1448	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1449	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1450	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1451	C₂²×C₄	—	2	1	no	—
1452	C₂²×C₄	—	2	1	no	—
1453	C₂²×C₄	—	2	1	no	—
1454	C₂²×C₄	—	2	1	no	—
1455	C₂²×C₄	—	2	1	no	—
1456	C₂²×C₄	—	2	1	no	—
1457	C₂²×C₄	—	2	1	no	—
1458	C₂²×C₄	—	2	1	no	—
1459	C₂²×C₄	—	2	1	no	—
1460	C₂²×C₄	—	2	1	no	—
1461	C₂²×C₄	—	2	1	no	—
1462	C₂²×C₄	—	2	1	no	—
1463	C₂²×C₄	—	2	1	no	—
1464	C₂²×C₄	—	2	1	no	—
1465	C₂²×C₄	—	2	1	no	—
1466	C₂²×C₄	—	2	1	no	—
1467	C₂²×C₄	—	2	1	no	—
1468	C₂²×C₄	—	2	1	no	—
1469	C₂²×C₄	—	8	2	no	—
1470	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1471	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1472	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1473	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1474	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1475	Q₁₆	—	4	1	no	—
1476	Q₁₆	—	4	1	no	—
1477	SD₁₆	—	2	2	no	—
1478	SD₁₆	—	2	2	no	—
1479	SD₁₆	—	4	1	no	—
1480	SD₁₆	—	4	1	no	—
1481	SD₁₆	—	4	1	no	—
1482	SD₁₆	—	4	1	no	—
1483	SD₁₆	—	4	1	no	—
1484	SD₁₆	—	4	1	no	—
1485	SD₁₆	—	4	1	no	—
1486	SD₁₆	—	4	1	no	—
1487	D₈	—	2	2	no	—
1488	D₈	—	2	2	no	—
1489	D₈	—	2	2	no	—
1490	D₈	—	2	2	no	—
1491	D₈	—	4	1	no	—
1492	D₈	—	4	1	no	—
1493	D₈	—	4	1	no	—
1494	D₈	—	4	1	no	—
1495	D₈	—	4	1	no	—
1496	D₈	—	4	1	no	—
1497	D₈	—	4	1	no	—
1498	D₈	—	4	1	no	—
1499	M₁₆	—	4	1	no	—
1500	M₁₆	—	4	1	no	—
1501	C₂×C₈	—	4	1	no	—
1502	C₂×C₈	—	4	1	no	—
1503	C₂×C₈	—	4	1	no	—
1504	C₂×C₈	—	4	1	no	—
1505	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1506	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1507	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1508	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1509	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1510	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1511	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1512	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	—	2	1	no	—
1519	C₄⋊C₄	—	2	1	no	—
1520	C₄⋊C₄	—	2	1	no	—
1521	C₄⋊C₄	—	2	1	no	—
1522	C₄⋊C₄	—	2	1	no	—
1523	C₄⋊C₄	—	2	1	no	—
1524	C₄⋊C₄	—	2	1	no	—
1525	C₄⋊C₄	—	2	1	no	—
1526	C₄⋊C₄	—	2	1	no	—
1527	C₄⋊C₄	—	2	1	no	—
1528	C₄⋊C₄	—	2	1	no	—
1529	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1530	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1531	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1532	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1533	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1534	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1535	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1536	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1537	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1538	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1539	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1540	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1541	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1542	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1543	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1544	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	2	1	no	—
1576	C₂²⋊C₄	—	2	1	no	—
1577	C₂²⋊C₄	—	2	1	no	—
1578	C₂²⋊C₄	—	2	1	no	—
1579	C₂²⋊C₄	—	2	1	no	—
1580	C₂²⋊C₄	—	2	1	no	—
1581	C₂²⋊C₄	—	2	1	no	—
1582	C₂²⋊C₄	—	2	1	no	—
1583	C₂²⋊C₄	—	2	1	no	—
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1587	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1588	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1589	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1590	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1591	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1592	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1593	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1594	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1595	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1596	C₄²	—	2	1	no	—
1597	C₄²	—	2	1	no	—
1598	C₄²	—	2	1	no	—
1599	C₄²	—	2	1	no	—
1600	C₄²	—	2	1	no	—
1601	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1602	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1603	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1604	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1605	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1606	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1607	C₂×C₇	—	2	2	no	—
1608	C₂×C₇	—	4	1	no	—
1609	C₂×C₇	—	4	1	no	—
1610	C₂×C₇	—	4	2	no	—
1611	C₂×C₇	—	8	1	no	—
1612	C₂×C₇	—	8	1	no	—
1613	C₂×C₇	—	8	1	no	—
1614	C₂×C₇	—	8	1	no	—
1615	C₂×C₇	—	8	1	no	—
1616	C₂×C₇	—	8	1	no	—
1617	C₂×C₇	#3488	1	1	yes	characteristic
1618	C₂×C₇	C₂×#576	1	1	yes	characteristic
1619	C₂×C₇	#3584	1	1	yes	characteristic
1620	C₂³	—	2	1	no	—
1621	C₂³	—	2	1	no	—
1622	C₂³	—	2	1	no	—
1623	C₂³	—	2	1	no	—
1624	C₂³	—	2	1	no	—
1625	C₂³	—	2	1	no	—
1626	C₂³	—	2	1	no	—
1627	C₂³	—	4	2	no	—
1628	C₂³	—	4	2	no	—
1629	C₂³	—	4	2	no	—
1630	C₂³	—	4	2	no	—
1631	C₂³	—	8	1	no	—
1632	C₂³	—	8	1	no	—
1633	C₂³	—	8	1	no	—
1634	C₂³	—	8	1	no	—
1635	C₂³	—	8	1	no	—
1636	C₂³	—	8	1	no	—
1637	C₂³	—	8	1	no	—
1638	C₂³	—	8	1	no	—
1639	C₂³	—	8	1	no	—
1640	C₂³	—	8	1	no	—
1641	C₂³	—	8	1	no	—
1642	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1643	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1644	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1645	Q₈	—	2	1	no	—
1646	Q₈	—	2	1	no	—
1647	Q₈	—	2	1	no	—
1648	Q₈	—	2	1	no	—
1649	Q₈	—	2	1	no	—
1650	Q₈	—	2	1	no	—
1651	Q₈	—	4	1	no	—
1652	Q₈	—	8	1	no	—
1653	Q₈	—	8	1	no	—
1654	Q₈	—	8	1	no	—
1655	D₄	—	2	2	no	—
1656	D₄	—	2	2	no	—
1657	D₄	—	2	1	no	—
1658	D₄	—	2	1	no	—
1659	D₄	—	2	1	no	—
1660	D₄	—	2	1	no	—
1661	D₄	—	2	1	no	—
1662	D₄	—	2	1	no	—
1663	D₄	—	2	1	no	—
1664	D₄	—	2	1	no	—
1665	D₄	—	2	1	no	—
1666	D₄	—	2	1	no	—
1667	D₄	—	2	1	no	—
1668	D₄	—	2	1	no	—
1669	D₄	—	2	1	no	—
1670	D₄	—	4	1	no	—
1671	D₄	—	4	2	no	—
1672	D₄	—	4	2	no	—
1673	D₄	—	4	2	no	—
1674	D₄	—	4	2	no	—
1675	D₄	—	4	2	no	—
1676	D₄	—	4	2	no	—
1677	D₄	—	8	1	no	—
1678	D₄	—	8	1	no	—
1679	D₄	—	8	1	no	—
1680	D₄	—	8	1	no	—
1681	D₄	—	8	1	no	—
1682	D₄	—	8	1	no	—
1683	D₄	—	8	1	no	—
1684	D₄	—	8	1	no	—
1685	D₄	—	8	1	no	—
1686	D₄	—	8	1	no	—
1687	D₄	—	8	1	no	—
1688	D₄	—	8	1	no	—
1689	D₄	—	8	1	no	—
1690	D₄	—	8	1	no	—
1691	D₄	—	8	1	no	—
1692	D₄	—	8	1	no	—
1693	D₄	—	8	1	no	—
1694	D₄	—	8	1	no	—
1695	D₄	C₇×H(5,𝔽₂)	1	2	yes	—
1696	C₂×C₄	—	2	2	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	2	1	no	—
1702	C₂×C₄	—	2	1	no	—
1703	C₂×C₄	—	2	1	no	—
1704	C₂×C₄	—	2	1	no	—
1705	C₂×C₄	—	2	1	no	—
1706	C₂×C₄	—	2	1	no	—
1707	C₂×C₄	—	2	1	no	—
1708	C₂×C₄	—	2	1	no	—
1709	C₂×C₄	—	2	1	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	4	1	no	—
1713	C₂×C₄	—	4	2	no	—
1714	C₂×C₄	—	4	2	no	—
1715	C₂×C₄	—	8	1	no	—
1716	C₂×C₄	—	8	1	no	—
1717	C₂×C₄	—	8	1	no	—
1718	C₂×C₄	—	8	1	no	—
1719	C₂×C₄	—	8	1	no	—
1720	C₂×C₄	—	8	1	no	—
1721	C₂×C₄	—	8	1	no	—
1722	C₂×C₄	—	8	1	no	—
1723	C₂×C₄	—	8	1	no	—
1724	C₂×C₄	—	8	1	no	—
1725	C₂×C₄	—	8	1	no	—
1726	C₂×C₄	—	8	1	no	—
1727	C₂×C₄	—	8	1	no	—
1728	C₂×C₄	—	8	1	no	—
1729	C₂×C₄	—	8	1	no	—
1730	C₂×C₄	—	8	1	no	—
1731	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1732	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1733	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1734	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1735	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1736	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1737	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1738	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1739	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1740	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1741	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1742	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1743	C₈	—	2	1	no	—
1744	C₈	—	2	1	no	—
1745	C₈	—	2	1	no	—
1746	C₈	—	2	1	no	—
1747	C₈	—	2	1	no	—
1748	C₈	—	2	1	no	—
1749	C₈	—	2	1	no	—
1750	C₈	—	2	1	no	—
1751	C₇	#62064	1	1	yes	characteristic, direct product factor, Sylow
1752	C₂²	—	2	1	no	—
1753	C₂²	—	2	1	no	—
1754	C₂²	—	2	1	no	—
1755	C₂²	—	2	1	no	—
1756	C₂²	—	2	1	no	—
1757	C₂²	—	2	1	no	—
1758	C₂²	—	2	1	no	—
1759	C₂²	—	2	1	no	—
1760	C₂²	—	2	2	no	—
1761	C₂²	—	4	1	no	—
1762	C₂²	—	4	1	no	—
1763	C₂²	—	4	1	no	—
1764	C₂²	—	4	1	no	—
1765	C₂²	—	4	1	no	—
1766	C₂²	—	4	1	no	—
1767	C₂²	—	4	1	no	—
1768	C₂²	—	4	1	no	—
1769	C₂²	—	4	1	no	—
1770	C₂²	—	4	1	no	—
1771	C₂²	—	4	1	no	—
1772	C₂²	—	4	1	no	—
1773	C₂²	—	4	1	no	—
1774	C₂²	—	4	1	no	—
1775	C₂²	—	4	1	no	—
1776	C₂²	—	4	1	no	—
1777	C₂²	—	4	1	no	—
1778	C₂²	—	4	1	no	—
1779	C₂²	—	4	1	no	—
1780	C₂²	—	4	1	no	—
1781	C₂²	—	8	4	no	—
1782	C₂²	—	16	2	no	—
1783	C₂²	—	16	2	no	—
1784	C₂²	—	16	2	no	—
1785	C₂²	—	16	2	no	—
1786	C₂²	C₇×#576	1	2	yes	—
1787	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1788	C₄	—	2	1	no	—
1789	C₄	—	2	1	no	—
1790	C₄	—	2	1	no	—
1791	C₄	—	2	1	no	—
1792	C₄	—	2	1	no	—
1793	C₄	—	2	1	no	—
1794	C₄	—	2	1	no	—
1795	C₄	—	2	1	no	—
1796	C₄	—	2	1	no	—
1797	C₄	—	2	1	no	—
1798	C₄	—	2	1	no	—
1799	C₄	—	4	1	no	—
1800	C₄	—	4	1	no	—
1801	C₄	—	4	1	no	—
1802	C₄	—	4	1	no	—
1803	C₄	—	4	1	no	—
1804	C₄	—	4	1	no	—
1805	C₄	—	4	1	no	—
1806	C₄	—	4	1	no	—
1807	C₄	—	4	1	no	—
1808	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1809	C₄	C₇×#585	1	1	yes	characteristic
1810	C₂	—	2	2	no	—
1811	C₂	—	4	1	no	—
1812	C₂	—	4	1	no	—
1813	C₂	—	4	2	no	—
1814	C₂	—	8	1	no	—
1815	C₂	—	8	1	no	—
1816	C₂	—	8	1	no	—
1817	C₂	—	8	1	no	—
1818	C₂	—	8	1	no	—
1819	C₂	—	8	1	no	—
1820	C₂	C₇×#3488	1	1	yes	characteristic
1821	C₂	C₂×C₇×#576	1	1	yes	characteristic
1822	C₂	C₇×#3584	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×#3513	C₂	semidirect
3. C₇×#3403	C₂	semidirect
4. C₇×#3396	C₂	semidirect
5. C₇×#3370	C₂	semidirect
6. C₇×#3361	C₂	semidirect
7. C₇×#3322	C₂	semidirect
8. C₇×#3310	C₂	semidirect
9. C₇×#3308	C₂	semidirect
10. C₇×#3300	C₂	semidirect
11. C₇×#3297	C₂	semidirect
12. C₇×#3294	C₂	semidirect
13. C₇×#3282	C₂	semidirect
14. C₇×#3280	C₂	semidirect
15. C₇×D₄×D₈	C₂	semidirect
16. C₇×#3273	C₂	semidirect
17. C₇×#3265	C₂	semidirect
18. C₇×#3264	C₂	semidirect
19. C₇×#3262	C₂	semidirect
20. C₇×#3257	C₂	semidirect
21. C₇×#3247	C₂	semidirect
22. C₇×#3224	C₂	semidirect
23. C₇×#3220	C₂	semidirect
24. C₇×#3211	C₂	semidirect
25. C₇×#3124	C₂	semidirect
26. C₇×#3118	C₂	semidirect
27. C₇×#3100	C₂	semidirect
28. C₇×#3045	C₂	semidirect
29. C₇×#3041	C₂	semidirect
30. C₂×C₇×#463	C₂	semidirect
31. C₇×#2994	C₂	semidirect
32. C₂×C₇×AGL(1,ℤ/8)	C₂²	semidirect
33. C₂×C₇×AGL(1,ℤ/8)	C₂²	semidirect
34. C₂×C₇×#135	C₂²	semidirect
35. C₂²×C₇×SD₁₆	C₂²	semidirect
37. C₂²×C₇×D₈	C₂²	semidirect
40. C₇×#559	C₂²	semidirect
41. C₇×#559	C₂²	semidirect
42. C₇×#559	C₂²	semidirect
43. C₇×#554	C₂²	semidirect
45. C₇×#553	C₂²	semidirect
46. C₇×#552	C₂²	semidirect
50. C₇×#548	C₂²	semidirect
51. C₇×#547	C₂²	semidirect
55. C₇×#546	C₂²	semidirect
56. C₇×#546	C₂²	semidirect
57. C₇×#546	C₂²	semidirect
58. C₇×#546	C₂²	semidirect
60. C₇×D₄²	C₂²	semidirect
61. C₇×D₄²	C₂²	semidirect
62. C₇×#542	C₂²	semidirect
63. C₇×#542	C₂²	semidirect
64. C₇×#542	C₂²	semidirect
65. C₇×#540	C₂²	semidirect
71. C₇×#535	C₂²	semidirect
72. C₇×#535	C₂²	semidirect
74. C₇×#532	C₂²	semidirect
76. C₇×#529	C₂²	semidirect
77. C₂×C₇×#124	C₂²	semidirect
80. C₇×#520	C₂²	semidirect
81. C₇×#518	C₂²	semidirect
82. C₂×C₄×C₇×D₄	C₂²	semidirect
83. C₇×#496	C₂²	semidirect
84. C₇×#496	C₂²	semidirect
85. C₇×#495	C₂²	semidirect
86. C₇×#495	C₂²	semidirect
87. C₇×#495	C₂²	semidirect
89. C₇×#490	C₂²	semidirect
90. C₇×#489	C₂²	semidirect
91. C₇×#488	C₂²	semidirect
92. C₇×#488	C₂²	semidirect
93. C₇×#488	C₂²	semidirect
94. C₇×#486	C₂²	semidirect
95. C₇×#485	C₂²	semidirect
96. C₇×#484	C₂²	semidirect
97. C₇×#482	C₂²	semidirect
98. C₇×#480	C₂²	semidirect
99. C₇×#480	C₂²	semidirect
100. C₇×#480	C₂²	semidirect
101. C₇×#479	C₂²	semidirect
102. C₇×#478	C₂²	semidirect
103. C₇×#478	C₂²	semidirect
104. C₇×#478	C₂²	semidirect
105. C₇×#477	C₂²	semidirect
106. C₇×#477	C₂²	semidirect
107. C₇×#476	C₂²	semidirect
108. C₇×#474	C₂²	semidirect
109. C₇×#474	C₂²	semidirect
110. C₇×#474	C₂²	semidirect
111. C₇×#469	C₂²	semidirect
112. C₇×#468	C₂²	semidirect
113. C₇×#468	C₂²	semidirect
114. C₇×#468	C₂²	semidirect
115. C₇×#467	C₂²	semidirect
117. C₇×#466	C₂²	semidirect
118. C₇×#466	C₂²	semidirect
119. C₇×#466	C₂²	semidirect
120. C₇×#465	C₂²	semidirect
121. C₇×#465	C₂²	semidirect
122. C₇×#465	C₂²	semidirect
123. C₇×#464	C₂²	semidirect
124. C₇×#464	C₂²	semidirect
125. C₇×#464	C₂²	semidirect
126. C₇×#464	C₂²	semidirect
127. C₇×#463	C₂²	semidirect
128. C₇×#463	C₂²	semidirect
129. C₇×#463	C₂²	semidirect
130. C₇×#463	C₂²	semidirect
131. C₇×#463	C₂²	semidirect
132. C₇×#463	C₂²	semidirect
133. C₇×#463	C₂²	semidirect
134. C₇×#463	C₂²	semidirect
135. C₇×#463	C₂²	semidirect
136. C₇×#463	C₂²	semidirect
137. C₇×#463	C₂²	semidirect
138. C₇×#463	C₂²	semidirect
139. C₇×#463	C₂²	semidirect
140. C₇×#463	C₂²	semidirect
141. C₇×#463	C₂²	semidirect
142. C₇×#463	C₂²	semidirect
143. C₇×#460	C₂²	semidirect
144. C₇×#460	C₂²	semidirect
145. C₇×#460	C₂²	semidirect
148. C₇×#459	C₂²	semidirect
149. C₇×#459	C₂²	semidirect
150. C₇×#459	C₂²	semidirect
151. C₇×#459	C₂²	semidirect
152. C₇×#459	C₂²	semidirect
153. C₇×#452	C₂²	semidirect
154. C₇×#452	C₂²	semidirect
155. C₇×#451	C₂²	semidirect
156. C₇×#450	C₂²	semidirect
157. C₇×#450	C₂²	semidirect
158. C₇×#450	C₂²	semidirect
160. C₇×#449	C₂²	semidirect
161. C₇×#449	C₂²	semidirect
162. C₇×#449	C₂²	semidirect
163. C₇×#448	C₂²	semidirect
166. C₇×#447	C₂²	semidirect
167. C₇×#447	C₂²	semidirect
168. C₇×#447	C₂²	semidirect
169. C₇×#447	C₂²	semidirect
170. C₇×#447	C₂²	semidirect
171. C₇×#446	C₂²	semidirect
172. C₇×C₈×Q₈	C₂²	semidirect
173. C₇×#442	C₂²	semidirect
174. C₇×#440	C₂²	semidirect
175. C₇×#440	C₂²	semidirect
176. C₇×#440	C₂²	semidirect
177. C₄×C₇×Q₁₆	C₂²	semidirect
178. C₄×C₇×SD₁₆	C₂²	semidirect
179. C₄×C₇×D₈	C₂²	semidirect
180. C₄×C₇×D₈	C₂²	semidirect
181. C₄×C₇×D₈	C₂²	semidirect
182. C₄×C₇×D₈	C₂²	semidirect
183. C₄×C₇×D₈	C₂²	semidirect
184. C₄×C₇×D₈	C₂²	semidirect
185. C₇×#436	C₂²	semidirect
186. C₇×#435	C₂²	semidirect
187. C₇×#435	C₂²	semidirect
188. C₇×C₈×D₄	C₂²	semidirect
189. C₇×C₈×D₄	C₂²	semidirect
190. C₇×C₈×D₄	C₂²	semidirect
191. C₇×#433	C₂²	semidirect
192. C₇×#433	C₂²	semidirect
193. C₇×#431	C₂²	semidirect
194. C₇×#424	C₂²	semidirect
195. C₇×#424	C₂²	semidirect
196. C₂×C₇×C₄⋊C₈	C₂²	semidirect
197. C₇×#418	C₂²	semidirect
198. C₇×#417	C₂²	semidirect
199. C₇×#416	C₂²	semidirect
200. C₂×C₇×#103	C₂²	semidirect
201. C₂×C₇×#102	C₂²	semidirect
202. C₂×C₇×#102	C₂²	semidirect
203. #62064	C₇	direct (N × H)
485. #3558	C₂×C₇	semidirect
486. #3513	C₂×C₇	semidirect
487. #3403	C₂×C₇	semidirect
488. #3396	C₂×C₇	semidirect
489. #3370	C₂×C₇	semidirect
490. #3361	C₂×C₇	semidirect
491. #3322	C₂×C₇	semidirect
492. #3310	C₂×C₇	semidirect
493. #3308	C₂×C₇	semidirect
494. #3300	C₂×C₇	semidirect
495. #3297	C₂×C₇	semidirect
496. #3294	C₂×C₇	semidirect
497. #3282	C₂×C₇	semidirect
498. #3280	C₂×C₇	semidirect
499. D₄×D₈	C₂×C₇	semidirect
500. #3273	C₂×C₇	semidirect
501. #3265	C₂×C₇	semidirect
502. #3264	C₂×C₇	semidirect
503. #3262	C₂×C₇	semidirect
504. #3257	C₂×C₇	semidirect
505. #3247	C₂×C₇	semidirect
506. #3224	C₂×C₇	semidirect
507. #3220	C₂×C₇	semidirect
508. #3211	C₂×C₇	semidirect
509. #3124	C₂×C₇	semidirect
510. #3118	C₂×C₇	semidirect
511. #3100	C₂×C₇	semidirect
512. #3045	C₂×C₇	semidirect
513. #3041	C₂×C₇	semidirect
514. C₂×#463	C₂×C₇	semidirect
515. #2994	C₂×C₇	semidirect
741. C₂×AGL(1,ℤ/8)	C₂²×C₇	semidirect
742. C₂×AGL(1,ℤ/8)	C₂²×C₇	semidirect
743. C₂×#135	C₂²×C₇	semidirect
744. C₂²×SD₁₆	C₂²×C₇	semidirect
746. C₂²×D₈	C₂²×C₇	semidirect
749. #559	C₂²×C₇	semidirect
750. #559	C₂²×C₇	semidirect
751. #559	C₂²×C₇	semidirect
752. #554	C₂²×C₇	semidirect
754. #553	C₂²×C₇	semidirect
755. #552	C₂²×C₇	semidirect
759. #548	C₂²×C₇	semidirect
760. #547	C₂²×C₇	semidirect
764. #546	C₂²×C₇	semidirect
765. #546	C₂²×C₇	semidirect
766. #546	C₂²×C₇	semidirect
767. #546	C₂²×C₇	semidirect
769. D₄²	C₂²×C₇	semidirect
770. D₄²	C₂²×C₇	semidirect
771. #542	C₂²×C₇	semidirect
772. #542	C₂²×C₇	semidirect
773. #542	C₂²×C₇	semidirect
774. #540	C₂²×C₇	semidirect
780. #535	C₂²×C₇	semidirect
781. #535	C₂²×C₇	semidirect
783. #532	C₂²×C₇	semidirect
785. #529	C₂²×C₇	semidirect
786. C₂×#124	C₂²×C₇	semidirect
789. #520	C₂²×C₇	semidirect
790. #518	C₂²×C₇	semidirect
791. C₂×C₄×D₄	C₂²×C₇	semidirect
792. #496	C₂²×C₇	semidirect
793. #496	C₂²×C₇	semidirect
794. #495	C₂²×C₇	semidirect
795. #495	C₂²×C₇	semidirect
796. #495	C₂²×C₇	semidirect
798. #490	C₂²×C₇	semidirect
799. #489	C₂²×C₇	semidirect
800. #488	C₂²×C₇	semidirect
801. #488	C₂²×C₇	semidirect
802. #488	C₂²×C₇	semidirect
803. #486	C₂²×C₇	semidirect
804. #485	C₂²×C₇	semidirect
805. #484	C₂²×C₇	semidirect
806. #482	C₂²×C₇	semidirect
807. #480	C₂²×C₇	semidirect
808. #480	C₂²×C₇	semidirect
809. #480	C₂²×C₇	semidirect
810. #479	C₂²×C₇	semidirect
811. #478	C₂²×C₇	semidirect
812. #478	C₂²×C₇	semidirect
813. #478	C₂²×C₇	semidirect
814. #477	C₂²×C₇	semidirect
815. #477	C₂²×C₇	semidirect
816. #476	C₂²×C₇	semidirect
817. #474	C₂²×C₇	semidirect
818. #474	C₂²×C₇	semidirect
819. #474	C₂²×C₇	semidirect
820. #469	C₂²×C₇	semidirect
821. #468	C₂²×C₇	semidirect
822. #468	C₂²×C₇	semidirect
823. #468	C₂²×C₇	semidirect
824. #467	C₂²×C₇	semidirect
826. #466	C₂²×C₇	semidirect
827. #466	C₂²×C₇	semidirect
828. #466	C₂²×C₇	semidirect
829. #465	C₂²×C₇	semidirect
830. #465	C₂²×C₇	semidirect
831. #465	C₂²×C₇	semidirect
832. #464	C₂²×C₇	semidirect
833. #464	C₂²×C₇	semidirect
834. #464	C₂²×C₇	semidirect
835. #464	C₂²×C₇	semidirect
836. #463	C₂²×C₇	semidirect
837. #463	C₂²×C₇	semidirect
838. #463	C₂²×C₇	semidirect
839. #463	C₂²×C₇	semidirect
840. #463	C₂²×C₇	semidirect
841. #463	C₂²×C₇	semidirect
842. #463	C₂²×C₇	semidirect
843. #463	C₂²×C₇	semidirect
844. #463	C₂²×C₇	semidirect
845. #463	C₂²×C₇	semidirect
846. #463	C₂²×C₇	semidirect
847. #463	C₂²×C₇	semidirect
848. #463	C₂²×C₇	semidirect
849. #463	C₂²×C₇	semidirect
850. #463	C₂²×C₇	semidirect
851. #463	C₂²×C₇	semidirect
852. #460	C₂²×C₇	semidirect
853. #460	C₂²×C₇	semidirect
854. #460	C₂²×C₇	semidirect
857. #459	C₂²×C₇	semidirect
858. #459	C₂²×C₇	semidirect
859. #459	C₂²×C₇	semidirect
860. #459	C₂²×C₇	semidirect
861. #459	C₂²×C₇	semidirect
862. #452	C₂²×C₇	semidirect
863. #452	C₂²×C₇	semidirect
864. #451	C₂²×C₇	semidirect
865. #450	C₂²×C₇	semidirect
866. #450	C₂²×C₇	semidirect
867. #450	C₂²×C₇	semidirect
869. #449	C₂²×C₇	semidirect
870. #449	C₂²×C₇	semidirect
871. #449	C₂²×C₇	semidirect
872. #448	C₂²×C₇	semidirect
875. #447	C₂²×C₇	semidirect
876. #447	C₂²×C₇	semidirect
877. #447	C₂²×C₇	semidirect
878. #447	C₂²×C₇	semidirect
879. #447	C₂²×C₇	semidirect
880. #446	C₂²×C₇	semidirect
881. C₈×Q₈	C₂²×C₇	semidirect
882. #442	C₂²×C₇	semidirect
883. #440	C₂²×C₇	semidirect
884. #440	C₂²×C₇	semidirect
885. #440	C₂²×C₇	semidirect
886. C₄×Q₁₆	C₂²×C₇	semidirect
887. C₄×SD₁₆	C₂²×C₇	semidirect
888. C₄×D₈	C₂²×C₇	semidirect
889. C₄×D₈	C₂²×C₇	semidirect
890. C₄×D₈	C₂²×C₇	semidirect
891. C₄×D₈	C₂²×C₇	semidirect
892. C₄×D₈	C₂²×C₇	semidirect
893. C₄×D₈	C₂²×C₇	semidirect
894. #436	C₂²×C₇	semidirect
895. #435	C₂²×C₇	semidirect
896. #435	C₂²×C₇	semidirect
897. C₈×D₄	C₂²×C₇	semidirect
898. C₈×D₄	C₂²×C₇	semidirect
899. C₈×D₄	C₂²×C₇	semidirect
900. #433	C₂²×C₇	semidirect
901. #433	C₂²×C₇	semidirect
902. #431	C₂²×C₇	semidirect
903. #424	C₂²×C₇	semidirect
904. #424	C₂²×C₇	semidirect
905. C₂×C₄⋊C₈	C₂²×C₇	semidirect
906. #418	C₂²×C₇	semidirect
907. #417	C₂²×C₇	semidirect
908. #416	C₂²×C₇	semidirect
909. C₂×#103	C₂²×C₇	semidirect
910. C₂×#102	C₂²×C₇	semidirect
911. C₂×#102	C₂²×C₇	semidirect
1751. C₇	#62064	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×#3513	2
C₇×#3403	2
C₇×#3396	2
C₇×#3370	2
C₇×#3361	2
C₇×#3322	2
C₇×#3310	2
C₇×#3308	2
C₇×#3300	2
C₇×#3297	2
C₇×#3294	2
C₇×#3282	2
C₇×#3280	2
C₇×D₄×D₈	2
C₇×#3273	2
C₇×#3265	2
C₇×#3264	2
C₇×#3262	2
C₇×#3257	2
C₇×#3247	2
C₇×#3224	2
C₇×#3220	2
C₇×#3211	2
C₇×#3124	2
C₇×#3118	2
C₇×#3100	2
C₇×#3045	2
C₇×#3041	2
C₂×C₇×#463	2
C₇×#2994	2
#62064	7

Subgroups — C7×#62064 #13239280

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62064 #13239280