Subgroups — C₇×#61456 #13238672

Order 1792.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3481	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3480	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3403	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3371	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3370	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3350	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3346	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3339	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3318	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3316	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3311	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3309	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3301	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3297	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3282	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3268	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3183	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3180	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3180	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3117	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#3115	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#3114	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#3111	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#3111	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#3109	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#2970	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₇×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
30	C₇×#2943	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₇×#440	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
33	C₂×C₇×#135	C₂²	1	1	yes	characteristic
34	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
35	C₇×#559	—	2	1	no	—
36	C₇×#559	C₂²	1	1	yes	characteristic
37	C₇×#559	C₂²	1	1	yes	characteristic, complemented
38	C₇×#557	C₂²	1	1	yes	characteristic, complemented
39	C₇×#556	—	2	1	no	—
40	C₇×#556	C₂²	1	1	yes	characteristic, complemented
41	C₇×#554	C₂²	1	1	yes	characteristic
42	C₇×#554	C₂²	1	1	yes	characteristic
43	C₇×#553	—	2	1	no	—
44	C₇×#553	—	2	1	no	—
45	C₇×#553	—	2	1	no	—
46	C₇×#553	C₂²	1	1	yes	characteristic
47	C₇×#553	C₂²	1	1	yes	characteristic
48	C₇×#553	C₂²	1	1	yes	characteristic
49	C₇×#553	C₂²	1	1	yes	characteristic, complemented
50	C₇×#551	—	2	1	no	—
51	C₇×#551	—	2	1	no	—
52	C₇×#550	C₂²	1	1	yes	characteristic, complemented
53	C₇×#548	C₂²	1	1	yes	characteristic
54	C₇×#548	C₂²	1	1	yes	characteristic, complemented
55	C₇×#546	—	2	1	no	—
56	C₇×#546	C₂²	1	1	yes	characteristic
57	C₇×#546	C₂²	1	1	yes	characteristic
58	C₇×D₄²	C₂²	1	1	yes	characteristic
59	C₇×#532	—	2	1	no	—
60	C₇×#532	C₂²	1	1	yes	characteristic
61	C₇×#532	C₂²	1	1	yes	characteristic, complemented
62	C₇×#529	—	2	1	no	—
63	C₇×#529	—	2	1	no	—
64	C₇×#529	—	2	1	no	—
65	C₇×#529	C₂²	1	1	yes	characteristic
66	C₇×#529	C₂²	1	1	yes	characteristic
67	C₇×#529	C₂²	1	1	yes	characteristic, complemented
68	C₇×#529	C₂²	1	1	yes	characteristic, complemented
69	C₇×#525	—	2	1	no	—
70	C₇×#525	—	2	1	no	—
71	C₄×C₇×#41	—	2	1	no	—
72	C₄×C₇×#41	C₂²	1	1	yes	characteristic
73	C₄×C₇×#41	C₂²	1	1	yes	characteristic
74	C₄×C₇×#41	C₂²	1	1	yes	characteristic, complemented
75	C₄×C₇×#41	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₄×C₇×D₄	—	2	1	no	—
78	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
79	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
80	C₇×#501	C₂²	1	1	yes	characteristic, complemented
81	C₇×#501	C₂²	1	1	yes	characteristic, complemented
82	C₇×#499	C₂²	1	1	yes	characteristic, complemented
83	C₇×#496	C₂²	1	1	yes	characteristic
84	C₇×#496	C₂²	1	1	yes	characteristic, complemented
85	C₇×#495	C₂²	1	1	yes	characteristic, complemented
86	C₇×#490	C₂²	1	1	yes	characteristic
87	C₇×#490	C₂²	1	1	yes	characteristic, complemented
88	C₇×#489	C₂²	1	1	yes	characteristic, complemented
89	C₇×#489	C₂²	1	1	yes	characteristic, complemented
90	C₇×#488	C₂²	1	1	yes	characteristic, complemented
91	C₇×#488	C₂²	1	1	yes	characteristic, complemented
92	C₇×#485	C₂²	1	1	yes	characteristic, complemented
93	C₇×#485	C₂²	1	1	yes	characteristic, complemented
94	C₇×#484	C₂²	1	1	yes	characteristic, complemented
95	C₇×#483	C₂²	1	1	yes	characteristic, complemented
96	C₇×#482	C₂²	1	1	yes	characteristic
97	C₇×#482	C₂²	1	1	yes	characteristic, complemented
98	C₇×#482	C₂²	1	1	yes	characteristic, complemented
99	C₇×#482	C₂²	1	1	yes	characteristic, complemented
100	C₇×#481	C₂²	1	1	yes	characteristic
101	C₇×#481	C₂²	1	1	yes	characteristic, complemented
102	C₇×#481	C₂²	1	1	yes	characteristic, complemented
103	C₇×#480	C₂²	1	1	yes	characteristic, complemented
104	C₇×#479	C₂²	1	1	yes	characteristic, complemented
105	C₇×#479	C₂²	1	1	yes	characteristic, complemented
106	C₇×#479	C₂²	1	1	yes	characteristic, complemented
107	C₇×#479	C₂²	1	1	yes	characteristic, complemented
108	C₇×#478	C₂²	1	1	yes	characteristic
109	C₇×#478	C₂²	1	1	yes	characteristic
110	C₇×#478	C₂²	1	1	yes	characteristic, complemented
111	C₇×#478	C₂²	1	1	yes	characteristic, complemented
112	C₇×#476	C₂²	1	1	yes	characteristic
113	C₇×#476	C₂²	1	1	yes	characteristic, complemented
114	C₇×#475	C₂²	1	1	yes	characteristic, complemented
115	C₇×#474	C₂²	1	1	yes	characteristic, complemented
116	C₇×#470	C₂²	1	1	yes	characteristic, complemented
117	C₇×#469	C₂²	1	1	yes	characteristic
118	C₇×#468	C₂²	1	1	yes	characteristic
119	C₇×#468	C₂²	1	1	yes	characteristic, complemented
120	C₇×#466	C₂²	1	1	yes	characteristic
121	C₇×#466	C₂²	1	1	yes	characteristic
122	C₇×#466	C₂²	1	1	yes	characteristic, complemented
123	C₇×#466	C₂²	1	1	yes	characteristic, complemented
124	C₇×#465	C₂²	1	1	yes	characteristic, complemented
125	C₇×#465	C₂²	1	1	yes	characteristic, complemented
126	C₇×#465	C₂²	1	1	yes	characteristic, complemented
127	C₇×#465	C₂²	1	1	yes	characteristic, complemented
128	C₇×#464	C₂²	1	1	yes	characteristic, complemented
129	C₇×#464	C₂²	1	1	yes	characteristic, complemented
130	C₇×#464	C₂²	1	1	yes	characteristic, complemented
131	C₇×#464	C₂²	1	1	yes	characteristic, complemented
132	C₇×#463	C₂²	1	1	yes	characteristic
133	C₇×#463	C₂²	1	1	yes	characteristic
134	C₇×#463	C₂²	1	1	yes	characteristic, complemented
135	C₇×#463	C₂²	1	1	yes	characteristic, complemented
136	C₇×#460	C₂²	1	1	yes	characteristic
137	C₇×#459	C₂²	1	1	yes	characteristic
138	C₇×#459	C₂²	1	1	yes	characteristic
139	C₇×#459	C₂²	1	1	yes	characteristic, complemented
140	C₇×#452	C₂²	1	1	yes	characteristic
141	C₇×#452	C₂²	1	1	yes	characteristic, complemented
142	C₇×#451	C₂²	1	1	yes	characteristic, complemented
143	C₇×#450	C₂²	1	1	yes	characteristic
144	C₇×#449	C₂²	1	1	yes	characteristic
145	C₇×#449	C₂²	1	1	yes	characteristic
146	C₇×#449	C₂²	1	1	yes	characteristic, complemented
147	C₇×#449	C₂²	1	1	yes	characteristic, complemented
148	C₇×#448	C₂²	1	1	yes	characteristic
149	C₇×#447	C₂²	1	1	yes	characteristic
150	C₇×#447	C₂²	1	1	yes	characteristic
151	C₇×#447	C₂²	1	1	yes	characteristic
152	C₇×#446	C₂²	1	1	yes	characteristic, complemented
153	C₇×#446	C₂²	1	1	yes	characteristic, complemented
154	C₇×#442	C₂²	1	1	yes	characteristic
155	C₇×#442	C₂²	1	1	yes	characteristic
156	C₇×#442	C₂²	1	1	yes	characteristic
157	C₇×#442	C₂²	1	1	yes	characteristic, complemented
158	C₇×#442	C₂²	1	1	yes	characteristic, complemented
159	C₇×#442	C₂²	1	1	yes	characteristic, complemented
160	C₇×#442	C₂²	1	1	yes	characteristic, complemented
161	C₇×#441	C₂²	1	1	yes	characteristic, complemented
162	C₇×#441	C₂²	1	1	yes	characteristic, complemented
163	C₇×#441	C₂²	1	1	yes	characteristic, complemented
164	C₇×#440	C₂²	1	1	yes	characteristic
165	C₇×#440	C₂²	1	1	yes	characteristic
166	C₇×#440	C₂²	1	1	yes	characteristic
167	C₇×#440	C₂²	1	1	yes	characteristic
168	C₇×#440	C₂²	1	1	yes	characteristic
169	C₇×#440	C₂²	1	1	yes	characteristic, complemented
170	C₇×#440	C₂²	1	1	yes	characteristic, complemented
171	C₇×#440	C₂²	1	1	yes	characteristic, complemented
172	C₇×#440	C₂²	1	1	yes	characteristic, complemented
173	C₇×#440	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	C₇×#440	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
179	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
181	C₄×C₇×D₈	C₂²	1	1	yes	characteristic, complemented
182	C₇×#435	C₂²	1	1	yes	characteristic
183	C₇×#435	C₂²	1	1	yes	characteristic
184	C₇×#435	C₂²	1	1	yes	characteristic, complemented
185	C₇×#435	C₂²	1	1	yes	characteristic, complemented
186	C₇×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
187	C₇×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
188	C₇×#432	C₂²	1	1	yes	characteristic, complemented
189	C₇×#432	C₂²	1	1	yes	characteristic, complemented
190	C₇×#432	C₂²	1	1	yes	characteristic, complemented
191	C₇×#428	C₂²	1	1	yes	characteristic, complemented
192	C₇×#427	C₂²	1	1	yes	characteristic, complemented
193	C₂×C₇×#107	C₂²	1	1	yes	characteristic, complemented
194	C₇×#418	C₂²	1	1	yes	characteristic
195	C₇×#417	C₂²	1	1	yes	characteristic, complemented
196	C₇×#416	C₂²	1	1	yes	characteristic
197	C₇×#416	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₇×#103	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₇×#102	C₂²	1	1	yes	characteristic
200	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₇×#97	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₇×#97	C₂²	1	1	yes	characteristic, complemented
203	#61456	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	D₄	1	1	yes	characteristic
207	C₂×C₇×#41	C₂³	1	1	yes	characteristic
208	C₂×C₇×#41	C₂³	1	1	yes	characteristic
209	C₂×C₇×#41	C₂³	1	1	yes	characteristic
210	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
211	C₂²×C₇×D₄	—	2	1	no	—
212	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
213	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₇	—	2	1	no	—
215	C₂³×C₄×C₇	—	2	1	no	—
216	C₇×AGL(1,ℤ/8)	—	2	4	no	—
217	C₇×#135	—	2	4	no	—
218	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₇×SD₁₆	—	2	4	no	—
221	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
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×D₈	C₂³	1	1	yes	characteristic
230	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
231	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
232	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
233	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
234	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
235	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
237	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
238	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
239	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
240	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
241	C₇×C₄⋊Q₈	—	2	1	no	—
242	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
244	C₇×#127	—	2	1	no	—
245	C₇×#127	C₂³	1	1	yes	characteristic
246	C₇×#127	C₂³	1	1	yes	characteristic
247	C₇×#126	—	2	1	no	—
248	C₇×#126	—	2	1	no	—
249	C₇×#126	—	2	1	no	—
250	C₇×#126	—	2	1	no	—
251	C₇×#126	—	2	1	no	—
252	C₇×#126	—	2	1	no	—
253	C₇×#126	—	2	1	no	—
254	C₇×#126	—	2	1	no	—
255	C₇×#126	—	2	1	no	—
256	C₇×#126	—	2	1	no	—
257	C₇×#125	—	2	1	no	—
258	C₇×#125	—	2	1	no	—
259	C₇×#125	—	2	1	no	—
260	C₇×#125	C₂³	1	1	yes	characteristic
261	C₇×#125	C₂³	1	1	yes	characteristic
262	C₇×#125	C₂³	1	1	yes	characteristic
263	C₇×#125	C₂³	1	1	yes	characteristic
264	C₇×#124	—	2	1	no	—
265	C₇×#124	—	2	1	no	—
266	C₇×#124	—	2	1	no	—
267	C₇×#124	—	2	1	no	—
268	C₇×#124	—	2	1	no	—
269	C₇×#124	—	2	1	no	—
270	C₇×#124	—	2	1	no	—
271	C₇×#124	C₂³	1	1	yes	characteristic
272	C₇×#124	C₂³	1	1	yes	characteristic
273	C₇×#124	C₂³	1	1	yes	characteristic
274	C₇×#124	C₂³	1	1	yes	characteristic
275	C₇×#123	—	2	1	no	—
276	C₇×#123	—	2	1	no	—
277	C₇×#123	—	2	1	no	—
278	C₇×#123	—	2	1	no	—
279	C₇×#123	—	2	1	no	—
280	C₇×#123	—	2	1	no	—
281	C₇×#123	—	2	1	no	—
282	C₇×#123	—	2	1	no	—
283	C₇×#123	—	2	1	no	—
284	C₇×#123	—	2	1	no	—
285	C₇×#123	—	2	1	no	—
286	C₇×#123	—	2	1	no	—
287	C₇×#123	—	2	1	no	—
288	C₇×#123	—	2	1	no	—
289	C₇×C₂²⋊Q₈	—	2	1	no	—
290	C₇×C₂²⋊Q₈	—	2	1	no	—
291	C₇×C₂²⋊Q₈	—	2	1	no	—
292	C₇×C₂²⋊Q₈	—	2	1	no	—
293	C₇×C₂²⋊Q₈	—	2	1	no	—
294	C₇×C₂²⋊Q₈	—	2	1	no	—
295	C₇×C₂²⋊Q₈	—	2	1	no	—
296	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
297	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
298	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
299	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
300	C₇×#121	—	2	1	no	—
301	C₇×#121	—	2	1	no	—
302	C₇×#121	—	2	1	no	—
303	C₇×#121	—	2	1	no	—
304	C₇×#121	—	2	1	no	—
305	C₇×#121	—	2	1	no	—
306	C₇×#121	—	2	1	no	—
307	C₇×#121	—	2	1	no	—
308	C₇×#121	—	2	1	no	—
309	C₇×#121	—	2	1	no	—
310	C₇×#121	—	2	1	no	—
311	C₇×#121	—	2	1	no	—
312	C₇×#121	—	2	1	no	—
313	C₇×#121	C₂³	1	1	yes	characteristic
314	C₇×#121	C₂³	1	1	yes	characteristic
315	C₇×#121	C₂³	1	1	yes	characteristic
316	C₇×#121	C₂³	1	1	yes	characteristic
317	C₇×#121	C₂³	1	1	yes	characteristic
318	C₇×#121	C₂³	1	1	yes	characteristic
319	C₇×#121	C₂³	1	1	yes	characteristic
320	C₇×#121	C₂³	1	1	yes	characteristic
321	C₇×#120	—	2	1	no	—
322	C₇×#120	—	2	1	no	—
323	C₇×#120	—	2	1	no	—
324	C₇×#120	—	2	1	no	—
325	C₄×C₇×Q₈	—	2	1	no	—
326	C₄×C₇×Q₈	—	2	1	no	—
327	C₄×C₇×Q₈	—	2	1	no	—
328	C₄×C₇×Q₈	—	2	1	no	—
329	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
330	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
331	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
332	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
333	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
334	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
335	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
336	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
337	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
338	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
339	C₄×C₇×D₄	—	2	1	no	—
340	C₄×C₇×D₄	—	2	1	no	—
341	C₄×C₇×D₄	—	2	1	no	—
342	C₄×C₇×D₄	—	2	1	no	—
343	C₄×C₇×D₄	—	2	1	no	—
344	C₄×C₇×D₄	—	2	1	no	—
345	C₄×C₇×D₄	—	2	1	no	—
346	C₄×C₇×D₄	—	2	1	no	—
347	C₄×C₇×D₄	—	2	1	no	—
348	C₄×C₇×D₄	—	2	1	no	—
349	C₄×C₇×D₄	—	2	1	no	—
350	C₄×C₇×D₄	—	2	1	no	—
351	C₄×C₇×D₄	—	2	1	no	—
352	C₄×C₇×D₄	—	2	1	no	—
353	C₄×C₇×D₄	—	2	1	no	—
354	C₄×C₇×D₄	—	2	1	no	—
355	C₄×C₇×D₄	—	2	1	no	—
356	C₄×C₇×D₄	—	2	1	no	—
357	C₄×C₇×D₄	—	2	1	no	—
358	C₄×C₇×D₄	—	2	1	no	—
359	C₄×C₇×D₄	—	2	1	no	—
360	C₄×C₇×D₄	—	2	1	no	—
361	C₄×C₇×D₄	—	2	1	no	—
362	C₄×C₇×D₄	—	2	1	no	—
363	C₄×C₇×D₄	—	2	1	no	—
364	C₄×C₇×D₄	—	2	1	no	—
365	C₄×C₇×D₄	D₄	1	1	yes	characteristic
366	C₄×C₇×D₄	D₄	1	1	yes	characteristic
367	C₄×C₇×D₄	D₄	1	1	yes	characteristic
368	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
369	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
370	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
371	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
372	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
373	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
374	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
375	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
376	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
377	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
378	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
379	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
380	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
381	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
382	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
383	C₇×#117	—	2	1	no	—
384	C₇×#117	—	2	1	no	—
385	C₇×#117	—	2	1	no	—
386	C₇×#117	—	2	1	no	—
387	C₇×#117	—	2	1	no	—
388	C₇×#117	—	2	1	no	—
389	C₇×#117	—	2	1	no	—
390	C₇×#117	D₄	1	1	yes	characteristic
391	C₇×#117	D₄	1	1	yes	characteristic
392	C₇×#117	D₄	1	1	yes	characteristic
393	C₇×#117	C₂³	1	1	yes	characteristic
394	C₇×#117	C₂³	1	1	yes	characteristic
395	C₇×#117	C₂³	1	1	yes	characteristic
396	C₂×C₇×C₄⋊C₄	—	2	1	no	—
397	C₂×C₇×C₄⋊C₄	—	2	1	no	—
398	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
399	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
400	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
401	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
402	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
403	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
404	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
405	C₂×C₄²×C₇	—	2	1	no	—
406	C₂×C₄²×C₇	—	2	1	no	—
407	C₂×C₄²×C₇	—	2	1	no	—
408	C₂×C₄²×C₇	—	2	1	no	—
409	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
410	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
411	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
412	C₇×#107	C₂³	1	1	yes	characteristic
413	C₇×#107	C₂³	1	1	yes	characteristic
414	C₇×#107	C₂³	1	1	yes	characteristic
415	C₇×#107	C₂³	1	1	yes	characteristic
416	C₇×#107	C₂³	1	1	yes	characteristic
417	C₇×#107	C₂³	1	1	yes	characteristic
418	C₇×#107	C₂³	1	1	yes	characteristic
419	C₇×#107	C₂³	1	1	yes	characteristic
420	C₇×#106	C₂³	1	1	yes	characteristic
421	C₇×#106	C₂³	1	1	yes	characteristic
422	C₇×#106	C₂³	1	1	yes	characteristic
423	C₇×#106	C₂³	1	1	yes	characteristic
424	C₇×#106	C₂³	1	1	yes	characteristic
425	C₇×#106	C₂³	1	1	yes	characteristic
426	C₇×#106	C₂³	1	1	yes	characteristic
427	C₇×#106	C₂³	1	1	yes	characteristic
428	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₇×C₄⋊C₈	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×#103	C₂³	1	1	yes	characteristic
435	C₇×#103	C₂³	1	1	yes	characteristic
436	C₇×#103	C₂³	1	1	yes	characteristic
437	C₇×#103	C₂³	1	1	yes	characteristic
438	C₇×#103	C₂³	1	1	yes	characteristic
439	C₇×#103	C₂³	1	1	yes	characteristic
440	C₇×#103	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×#102	C₂³	1	1	yes	characteristic
447	C₇×#102	C₂³	1	1	yes	characteristic
448	C₇×#102	C₂³	1	1	yes	characteristic
449	C₇×#102	C₂³	1	1	yes	characteristic
450	C₇×#102	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
472	C₇×#97	C₂³	1	1	yes	characteristic
473	C₇×#97	C₂³	1	1	yes	characteristic
474	C₇×#97	C₂³	1	1	yes	characteristic
475	C₇×#97	C₂³	1	1	yes	characteristic
476	C₇×#97	C₂³	1	1	yes	characteristic
477	C₇×#97	C₂³	1	1	yes	characteristic
478	C₇×#97	C₂³	1	1	yes	characteristic
479	C₇×#97	C₂³	1	1	yes	characteristic
480	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
481	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
482	#3481	C₂×C₇	1	1	yes	characteristic, complemented
483	#3480	C₂×C₇	1	1	yes	characteristic, complemented
484	#3403	C₂×C₇	1	1	yes	characteristic, complemented
485	#3388	C₂×C₇	1	1	yes	characteristic, complemented
486	#3371	C₂×C₇	1	1	yes	characteristic, complemented
487	#3370	C₂×C₇	1	1	yes	characteristic, complemented
488	#3350	C₂×C₇	1	1	yes	characteristic, complemented
489	#3346	C₂×C₇	1	1	yes	characteristic, complemented
490	#3339	C₂×C₇	1	1	yes	characteristic, complemented
491	#3318	C₂×C₇	1	1	yes	characteristic, complemented
492	#3316	C₂×C₇	1	1	yes	characteristic, complemented
493	#3311	C₂×C₇	1	1	yes	characteristic, complemented
494	#3309	C₂×C₇	1	1	yes	characteristic, complemented
495	#3301	C₂×C₇	1	1	yes	characteristic, complemented
496	#3297	C₂×C₇	1	1	yes	characteristic, complemented
497	#3282	C₂×C₇	1	1	yes	characteristic, complemented
498	#3268	C₂×C₇	1	1	yes	characteristic, complemented
499	#3265	C₂×C₇	1	1	yes	characteristic, complemented
500	#3183	C₂×C₇	1	1	yes	characteristic, complemented
501	#3180	C₂×C₇	1	1	yes	characteristic, complemented
502	#3180	C₂×C₇	1	1	yes	characteristic, complemented
503	#3117	C₂×C₇	1	1	yes	characteristic, complemented
504	#3115	C₂×C₇	1	1	yes	characteristic, complemented
505	#3114	C₂×C₇	1	1	yes	characteristic, complemented
506	#3111	C₂×C₇	1	1	yes	characteristic, complemented
507	#3111	C₂×C₇	1	1	yes	characteristic, complemented
508	#3109	C₂×C₇	1	1	yes	characteristic, complemented
509	#2970	C₂×C₇	1	1	yes	characteristic, complemented
510	C₄×AGL(1,ℤ/8)	C₂×C₇	1	1	yes	characteristic, complemented
511	#2943	C₂×C₇	1	1	yes	characteristic, complemented
512	C₂×#440	C₂×C₇	1	1	yes	characteristic, complemented
513	C₂⁴×C₇	—	2	1	no	—
514	C₂⁴×C₇	—	2	1	no	—
515	C₇×#41	—	2	2	no	—
516	C₇×#41	—	2	2	no	—
517	C₇×#41	—	2	2	no	—
518	C₇×#41	—	4	2	no	—
519	C₇×#41	—	4	1	no	—
520	C₇×#41	—	4	1	no	—
521	C₇×#41	—	4	1	no	—
522	C₇×#41	—	4	4	no	—
523	C₇×#41	—	8	2	no	—
524	C₂×C₇×Q₈	—	2	1	no	—
525	C₂×C₇×Q₈	—	2	1	no	—
526	C₂×C₇×Q₈	—	2	1	no	—
527	C₂×C₇×Q₈	—	2	2	no	—
528	C₂×C₇×Q₈	—	4	1	no	—
529	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
530	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
531	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
532	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
533	C₂×C₇×D₄	—	2	2	no	—
534	C₂×C₇×D₄	—	2	2	no	—
535	C₂×C₇×D₄	—	2	1	no	—
536	C₂×C₇×D₄	—	2	1	no	—
537	C₂×C₇×D₄	—	2	1	no	—
538	C₂×C₇×D₄	—	2	1	no	—
539	C₂×C₇×D₄	—	2	1	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	—	4	1	no	—
553	C₂×C₇×D₄	—	4	1	no	—
554	C₂×C₇×D₄	—	4	4	no	—
555	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
556	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
557	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
558	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
559	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
560	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
561	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
562	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₇	—	2	1	no	—
564	C₂²×C₄×C₇	—	2	1	no	—
565	C₂²×C₄×C₇	—	2	1	no	—
566	C₂²×C₄×C₇	—	2	1	no	—
567	C₂²×C₄×C₇	—	2	1	no	—
568	C₂²×C₄×C₇	—	2	1	no	—
569	C₂²×C₄×C₇	—	2	1	no	—
570	C₂²×C₄×C₇	—	2	1	no	—
571	C₂²×C₄×C₇	—	2	1	no	—
572	C₂²×C₄×C₇	—	2	1	no	—
573	C₂²×C₄×C₇	—	2	1	no	—
574	C₂²×C₄×C₇	—	2	1	no	—
575	C₂²×C₄×C₇	—	2	1	no	—
576	C₂²×C₄×C₇	—	2	1	no	—
577	C₂²×C₄×C₇	—	2	1	no	—
578	C₂²×C₄×C₇	—	2	1	no	—
579	C₂²×C₄×C₇	—	2	1	no	—
580	C₂²×C₄×C₇	—	2	1	no	—
581	C₂²×C₄×C₇	—	2	1	no	—
582	C₂²×C₄×C₇	—	8	2	no	—
583	C₂²×C₄×C₇	—	8	2	no	—
584	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
585	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
586	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
587	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
588	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
589	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
590	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
591	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
592	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
593	C₇×Q₁₆	—	2	2	no	—
594	C₇×Q₁₆	—	4	1	no	—
595	C₇×SD₁₆	—	2	2	no	—
596	C₇×SD₁₆	—	2	2	no	—
597	C₇×SD₁₆	—	2	2	no	—
598	C₇×SD₁₆	—	2	2	no	—
599	C₇×SD₁₆	—	2	2	no	—
600	C₇×SD₁₆	—	4	1	no	—
601	C₇×SD₁₆	—	4	1	no	—
602	C₇×SD₁₆	#41	1	4	yes	complemented
603	C₇×D₈	—	2	2	no	—
604	C₇×D₈	—	2	2	no	—
605	C₇×D₈	—	2	2	no	—
606	C₇×D₈	—	4	1	no	—
607	C₇×D₈	—	4	1	no	—
608	C₇×D₈	—	4	1	no	—
609	C₇×M₁₆	—	2	2	no	—
610	C₇×M₁₆	—	4	1	no	—
611	C₂×C₇×C₈	—	2	2	no	—
612	C₂×C₇×C₈	—	2	2	no	—
613	C₂×C₇×C₈	—	4	1	no	—
614	C₂×C₇×C₈	—	4	1	no	—
615	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
616	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
617	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
618	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
619	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
620	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
621	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
622	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
623	C₇×C₄⋊C₄	—	2	1	no	—
624	C₇×C₄⋊C₄	—	2	1	no	—
625	C₇×C₄⋊C₄	—	2	1	no	—
626	C₇×C₄⋊C₄	—	2	1	no	—
627	C₇×C₄⋊C₄	—	2	1	no	—
628	C₇×C₄⋊C₄	—	2	1	no	—
629	C₇×C₄⋊C₄	—	2	1	no	—
630	C₇×C₄⋊C₄	—	2	1	no	—
631	C₇×C₄⋊C₄	—	2	1	no	—
632	C₇×C₄⋊C₄	—	2	1	no	—
633	C₇×C₄⋊C₄	—	2	1	no	—
634	C₇×C₄⋊C₄	—	2	1	no	—
635	C₇×C₄⋊C₄	—	2	1	no	—
636	C₇×C₄⋊C₄	—	2	1	no	—
637	C₇×C₄⋊C₄	—	2	1	no	—
638	C₇×C₄⋊C₄	—	2	1	no	—
639	C₇×C₄⋊C₄	—	2	1	no	—
640	C₇×C₄⋊C₄	—	2	1	no	—
641	C₇×C₄⋊C₄	—	2	1	no	—
642	C₇×C₄⋊C₄	—	2	1	no	—
643	C₇×C₄⋊C₄	—	2	1	no	—
644	C₇×C₄⋊C₄	—	2	1	no	—
645	C₇×C₄⋊C₄	—	2	1	no	—
646	C₇×C₄⋊C₄	—	2	1	no	—
647	C₇×C₄⋊C₄	—	2	1	no	—
648	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
649	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
650	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
651	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
655	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
657	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
658	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
659	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
660	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
661	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
662	C₇×C₂²⋊C₄	—	2	1	no	—
663	C₇×C₂²⋊C₄	—	2	1	no	—
664	C₇×C₂²⋊C₄	—	2	1	no	—
665	C₇×C₂²⋊C₄	—	2	1	no	—
666	C₇×C₂²⋊C₄	—	2	1	no	—
667	C₇×C₂²⋊C₄	—	2	1	no	—
668	C₇×C₂²⋊C₄	—	2	1	no	—
669	C₇×C₂²⋊C₄	—	2	1	no	—
670	C₇×C₂²⋊C₄	—	2	1	no	—
671	C₇×C₂²⋊C₄	—	2	1	no	—
672	C₇×C₂²⋊C₄	—	2	1	no	—
673	C₇×C₂²⋊C₄	—	2	1	no	—
674	C₇×C₂²⋊C₄	—	2	1	no	—
675	C₇×C₂²⋊C₄	—	2	1	no	—
676	C₇×C₂²⋊C₄	—	2	1	no	—
677	C₇×C₂²⋊C₄	—	2	1	no	—
678	C₇×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
698	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
699	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
700	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
701	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
702	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
703	C₄²×C₇	—	2	1	no	—
704	C₄²×C₇	—	2	1	no	—
705	C₄²×C₇	—	2	1	no	—
706	C₄²×C₇	—	2	1	no	—
707	C₄²×C₇	—	2	1	no	—
708	C₄²×C₇	—	2	1	no	—
709	C₄²×C₇	—	2	1	no	—
710	C₄²×C₇	—	2	1	no	—
711	C₄²×C₇	—	2	1	no	—
712	C₄²×C₇	—	2	1	no	—
713	C₄²×C₇	—	2	1	no	—
714	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
715	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
716	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
717	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
718	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
719	C₄²×C₇	C₂×D₄	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	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
725	C₂×#135	C₂²×C₇	1	1	yes	characteristic
726	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
727	#559	—	2	1	no	—
728	#559	C₂²×C₇	1	1	yes	characteristic
729	#559	C₂²×C₇	1	1	yes	characteristic, complemented
730	#557	C₂²×C₇	1	1	yes	characteristic, complemented
731	#556	—	2	1	no	—
732	#556	C₂²×C₇	1	1	yes	characteristic, complemented
733	#554	C₂²×C₇	1	1	yes	characteristic
734	#554	C₂²×C₇	1	1	yes	characteristic
735	#553	—	2	1	no	—
736	#553	—	2	1	no	—
737	#553	—	2	1	no	—
738	#553	C₂²×C₇	1	1	yes	characteristic
739	#553	C₂²×C₇	1	1	yes	characteristic
740	#553	C₂²×C₇	1	1	yes	characteristic
741	#553	C₂²×C₇	1	1	yes	characteristic, complemented
742	#551	—	2	1	no	—
743	#551	—	2	1	no	—
744	#550	C₂²×C₇	1	1	yes	characteristic, complemented
745	#548	C₂²×C₇	1	1	yes	characteristic
746	#548	C₂²×C₇	1	1	yes	characteristic, complemented
747	#546	—	2	1	no	—
748	#546	C₂²×C₇	1	1	yes	characteristic
749	#546	C₂²×C₇	1	1	yes	characteristic
750	D₄²	C₂²×C₇	1	1	yes	characteristic
751	#532	—	2	1	no	—
752	#532	C₂²×C₇	1	1	yes	characteristic
753	#532	C₂²×C₇	1	1	yes	characteristic, complemented
754	#529	—	2	1	no	—
755	#529	—	2	1	no	—
756	#529	—	2	1	no	—
757	#529	C₂²×C₇	1	1	yes	characteristic
758	#529	C₂²×C₇	1	1	yes	characteristic
759	#529	C₂²×C₇	1	1	yes	characteristic, complemented
760	#529	C₂²×C₇	1	1	yes	characteristic, complemented
761	#525	—	2	1	no	—
762	#525	—	2	1	no	—
763	C₄×#41	—	2	1	no	—
764	C₄×#41	C₂²×C₇	1	1	yes	characteristic
765	C₄×#41	C₂²×C₇	1	1	yes	characteristic
766	C₄×#41	C₂²×C₇	1	1	yes	characteristic, complemented
767	C₄×#41	C₂²×C₇	1	1	yes	characteristic, complemented
768	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
769	C₂×C₄×D₄	—	2	1	no	—
770	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
771	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
772	#501	C₂²×C₇	1	1	yes	characteristic, complemented
773	#501	C₂²×C₇	1	1	yes	characteristic, complemented
774	#499	C₂²×C₇	1	1	yes	characteristic, complemented
775	#496	C₂²×C₇	1	1	yes	characteristic
776	#496	C₂²×C₇	1	1	yes	characteristic, complemented
777	#495	C₂²×C₇	1	1	yes	characteristic, complemented
778	#490	C₂²×C₇	1	1	yes	characteristic
779	#490	C₂²×C₇	1	1	yes	characteristic, complemented
780	#489	C₂²×C₇	1	1	yes	characteristic, complemented
781	#489	C₂²×C₇	1	1	yes	characteristic, complemented
782	#488	C₂²×C₇	1	1	yes	characteristic, complemented
783	#488	C₂²×C₇	1	1	yes	characteristic, complemented
784	#485	C₂²×C₇	1	1	yes	characteristic, complemented
785	#485	C₂²×C₇	1	1	yes	characteristic, complemented
786	#484	C₂²×C₇	1	1	yes	characteristic, complemented
787	#483	C₂²×C₇	1	1	yes	characteristic, complemented
788	#482	C₂²×C₇	1	1	yes	characteristic
789	#482	C₂²×C₇	1	1	yes	characteristic, complemented
790	#482	C₂²×C₇	1	1	yes	characteristic, complemented
791	#482	C₂²×C₇	1	1	yes	characteristic, complemented
792	#481	C₂²×C₇	1	1	yes	characteristic
793	#481	C₂²×C₇	1	1	yes	characteristic, complemented
794	#481	C₂²×C₇	1	1	yes	characteristic, complemented
795	#480	C₂²×C₇	1	1	yes	characteristic, complemented
796	#479	C₂²×C₇	1	1	yes	characteristic, complemented
797	#479	C₂²×C₇	1	1	yes	characteristic, complemented
798	#479	C₂²×C₇	1	1	yes	characteristic, complemented
799	#479	C₂²×C₇	1	1	yes	characteristic, complemented
800	#478	C₂²×C₇	1	1	yes	characteristic
801	#478	C₂²×C₇	1	1	yes	characteristic
802	#478	C₂²×C₇	1	1	yes	characteristic, complemented
803	#478	C₂²×C₇	1	1	yes	characteristic, complemented
804	#476	C₂²×C₇	1	1	yes	characteristic
805	#476	C₂²×C₇	1	1	yes	characteristic, complemented
806	#475	C₂²×C₇	1	1	yes	characteristic, complemented
807	#474	C₂²×C₇	1	1	yes	characteristic, complemented
808	#470	C₂²×C₇	1	1	yes	characteristic, complemented
809	#469	C₂²×C₇	1	1	yes	characteristic
810	#468	C₂²×C₇	1	1	yes	characteristic
811	#468	C₂²×C₇	1	1	yes	characteristic, complemented
812	#466	C₂²×C₇	1	1	yes	characteristic
813	#466	C₂²×C₇	1	1	yes	characteristic
814	#466	C₂²×C₇	1	1	yes	characteristic, complemented
815	#466	C₂²×C₇	1	1	yes	characteristic, complemented
816	#465	C₂²×C₇	1	1	yes	characteristic, complemented
817	#465	C₂²×C₇	1	1	yes	characteristic, complemented
818	#465	C₂²×C₇	1	1	yes	characteristic, complemented
819	#465	C₂²×C₇	1	1	yes	characteristic, complemented
820	#464	C₂²×C₇	1	1	yes	characteristic, complemented
821	#464	C₂²×C₇	1	1	yes	characteristic, complemented
822	#464	C₂²×C₇	1	1	yes	characteristic, complemented
823	#464	C₂²×C₇	1	1	yes	characteristic, complemented
824	#463	C₂²×C₇	1	1	yes	characteristic
825	#463	C₂²×C₇	1	1	yes	characteristic
826	#463	C₂²×C₇	1	1	yes	characteristic, complemented
827	#463	C₂²×C₇	1	1	yes	characteristic, complemented
828	#460	C₂²×C₇	1	1	yes	characteristic
829	#459	C₂²×C₇	1	1	yes	characteristic
830	#459	C₂²×C₇	1	1	yes	characteristic
831	#459	C₂²×C₇	1	1	yes	characteristic, complemented
832	#452	C₂²×C₇	1	1	yes	characteristic
833	#452	C₂²×C₇	1	1	yes	characteristic, complemented
834	#451	C₂²×C₇	1	1	yes	characteristic, complemented
835	#450	C₂²×C₇	1	1	yes	characteristic
836	#449	C₂²×C₇	1	1	yes	characteristic
837	#449	C₂²×C₇	1	1	yes	characteristic
838	#449	C₂²×C₇	1	1	yes	characteristic, complemented
839	#449	C₂²×C₇	1	1	yes	characteristic, complemented
840	#448	C₂²×C₇	1	1	yes	characteristic
841	#447	C₂²×C₇	1	1	yes	characteristic
842	#447	C₂²×C₇	1	1	yes	characteristic
843	#447	C₂²×C₇	1	1	yes	characteristic
844	#446	C₂²×C₇	1	1	yes	characteristic, complemented
845	#446	C₂²×C₇	1	1	yes	characteristic, complemented
846	#442	C₂²×C₇	1	1	yes	characteristic
847	#442	C₂²×C₇	1	1	yes	characteristic
848	#442	C₂²×C₇	1	1	yes	characteristic
849	#442	C₂²×C₇	1	1	yes	characteristic, complemented
850	#442	C₂²×C₇	1	1	yes	characteristic, complemented
851	#442	C₂²×C₇	1	1	yes	characteristic, complemented
852	#442	C₂²×C₇	1	1	yes	characteristic, complemented
853	#441	C₂²×C₇	1	1	yes	characteristic, complemented
854	#441	C₂²×C₇	1	1	yes	characteristic, complemented
855	#441	C₂²×C₇	1	1	yes	characteristic, complemented
856	#440	C₂²×C₇	1	1	yes	characteristic
857	#440	C₂²×C₇	1	1	yes	characteristic
858	#440	C₂²×C₇	1	1	yes	characteristic
859	#440	C₂²×C₇	1	1	yes	characteristic
860	#440	C₂²×C₇	1	1	yes	characteristic
861	#440	C₂²×C₇	1	1	yes	characteristic, complemented
862	#440	C₂²×C₇	1	1	yes	characteristic, complemented
863	#440	C₂²×C₇	1	1	yes	characteristic, complemented
864	#440	C₂²×C₇	1	1	yes	characteristic, complemented
865	#440	C₂²×C₇	1	1	yes	characteristic, complemented
866	#440	C₂²×C₇	1	1	yes	characteristic, complemented
867	#440	C₂²×C₇	1	1	yes	characteristic, complemented
868	#440	C₂²×C₇	1	1	yes	characteristic, complemented
869	#440	C₂²×C₇	1	1	yes	characteristic, complemented
870	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
871	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
872	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
873	C₄×D₈	C₂²×C₇	1	1	yes	characteristic, complemented
874	#435	C₂²×C₇	1	1	yes	characteristic
875	#435	C₂²×C₇	1	1	yes	characteristic
876	#435	C₂²×C₇	1	1	yes	characteristic, complemented
877	#435	C₂²×C₇	1	1	yes	characteristic, complemented
878	C₈×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
879	C₈×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
880	#432	C₂²×C₇	1	1	yes	characteristic, complemented
881	#432	C₂²×C₇	1	1	yes	characteristic, complemented
882	#432	C₂²×C₇	1	1	yes	characteristic, complemented
883	#428	C₂²×C₇	1	1	yes	characteristic, complemented
884	#427	C₂²×C₇	1	1	yes	characteristic, complemented
885	C₂×#107	C₂²×C₇	1	1	yes	characteristic, complemented
886	#418	C₂²×C₇	1	1	yes	characteristic
887	#417	C₂²×C₇	1	1	yes	characteristic, complemented
888	#416	C₂²×C₇	1	1	yes	characteristic
889	#416	C₂²×C₇	1	1	yes	characteristic, complemented
890	C₂×#103	C₂²×C₇	1	1	yes	characteristic, complemented
891	C₂×#102	C₂²×C₇	1	1	yes	characteristic
892	C₄×M₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
893	C₂×#97	C₂²×C₇	1	1	yes	characteristic, complemented
894	C₂×#97	C₂²×C₇	1	1	yes	characteristic, complemented
895	C₂³×C₇	—	2	1	no	—
896	C₂³×C₇	—	2	1	no	—
897	C₂³×C₇	—	2	1	no	—
898	C₂³×C₇	—	2	1	no	—
899	C₂³×C₇	—	2	1	no	—
900	C₂³×C₇	—	4	2	no	—
901	C₂³×C₇	—	4	2	no	—
902	C₂³×C₇	—	4	2	no	—
903	C₂³×C₇	—	4	2	no	—
904	C₂³×C₇	—	8	1	no	—
905	C₂³×C₇	—	8	1	no	—
906	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
907	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
908	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
909	C₇×Q₈	—	2	1	no	—
910	C₇×Q₈	—	2	1	no	—
911	C₇×Q₈	—	2	1	no	—
912	C₇×Q₈	—	2	1	no	—
913	C₇×Q₈	—	2	1	no	—
914	C₇×Q₈	—	4	1	no	—
915	C₇×Q₈	—	4	2	no	—
916	C₇×Q₈	—	4	2	no	—
917	C₇×Q₈	—	8	1	no	—
918	C₇×Q₈	C₂×#41	1	2	yes	—
919	C₇×D₄	—	2	2	no	—
920	C₇×D₄	—	2	2	no	—
921	C₇×D₄	—	2	1	no	—
922	C₇×D₄	—	2	1	no	—
923	C₇×D₄	—	2	1	no	—
924	C₇×D₄	—	2	1	no	—
925	C₇×D₄	—	2	1	no	—
926	C₇×D₄	—	2	1	no	—
927	C₇×D₄	—	2	1	no	—
928	C₇×D₄	—	2	1	no	—
929	C₇×D₄	—	2	1	no	—
930	C₇×D₄	—	4	1	no	—
931	C₇×D₄	—	4	2	no	—
932	C₇×D₄	—	4	2	no	—
933	C₇×D₄	—	4	2	no	—
934	C₇×D₄	—	4	2	no	—
935	C₇×D₄	—	4	2	no	—
936	C₇×D₄	—	4	2	no	—
937	C₇×D₄	—	4	2	no	—
938	C₇×D₄	—	4	2	no	—
939	C₇×D₄	—	4	2	no	—
940	C₇×D₄	—	4	2	no	—
941	C₇×D₄	—	4	2	no	—
942	C₇×D₄	—	8	1	no	—
943	C₇×D₄	—	8	1	no	—
944	C₇×D₄	—	8	1	no	—
945	C₇×D₄	—	8	1	no	—
946	C₇×D₄	—	8	1	no	—
947	C₇×D₄	—	8	1	no	—
948	C₇×D₄	C₂×#41	1	2	yes	—
949	C₂×C₄×C₇	—	2	2	no	—
950	C₂×C₄×C₇	—	2	1	no	—
951	C₂×C₄×C₇	—	2	1	no	—
952	C₂×C₄×C₇	—	2	1	no	—
953	C₂×C₄×C₇	—	2	1	no	—
954	C₂×C₄×C₇	—	2	1	no	—
955	C₂×C₄×C₇	—	2	1	no	—
956	C₂×C₄×C₇	—	2	1	no	—
957	C₂×C₄×C₇	—	2	1	no	—
958	C₂×C₄×C₇	—	2	1	no	—
959	C₂×C₄×C₇	—	2	1	no	—
960	C₂×C₄×C₇	—	2	1	no	—
961	C₂×C₄×C₇	—	2	1	no	—
962	C₂×C₄×C₇	—	2	1	no	—
963	C₂×C₄×C₇	—	2	1	no	—
964	C₂×C₄×C₇	—	2	1	no	—
965	C₂×C₄×C₇	—	2	1	no	—
966	C₂×C₄×C₇	—	2	1	no	—
967	C₂×C₄×C₇	—	4	1	no	—
968	C₂×C₄×C₇	—	4	1	no	—
969	C₂×C₄×C₇	—	4	1	no	—
970	C₂×C₄×C₇	—	4	1	no	—
971	C₂×C₄×C₇	—	4	1	no	—
972	C₂×C₄×C₇	—	4	2	no	—
973	C₂×C₄×C₇	—	4	2	no	—
974	C₂×C₄×C₇	—	4	2	no	—
975	C₂×C₄×C₇	—	4	2	no	—
976	C₂×C₄×C₇	—	4	2	no	—
977	C₂×C₄×C₇	—	4	2	no	—
978	C₂×C₄×C₇	—	4	2	no	—
979	C₂×C₄×C₇	—	4	2	no	—
980	C₂×C₄×C₇	—	4	2	no	—
981	C₂×C₄×C₇	—	4	2	no	—
982	C₂×C₄×C₇	—	8	1	no	—
983	C₂×C₄×C₇	—	8	1	no	—
984	C₂×C₄×C₇	—	8	1	no	—
985	C₂×C₄×C₇	—	8	1	no	—
986	C₂×C₄×C₇	—	8	1	no	—
987	C₂×C₄×C₇	—	8	1	no	—
988	C₂×C₄×C₇	—	8	1	no	—
989	C₂×C₄×C₇	—	8	1	no	—
990	C₂×C₄×C₇	—	8	1	no	—
991	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
992	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
993	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
994	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
995	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
996	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
997	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
998	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
999	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1000	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1001	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1002	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1003	C₇×C₈	—	2	1	no	—
1004	C₇×C₈	—	2	1	no	—
1005	C₇×C₈	—	2	1	no	—
1006	C₇×C₈	—	2	1	no	—
1007	C₇×C₈	—	2	1	no	—
1008	C₇×C₈	—	2	1	no	—
1009	C₇×C₈	—	2	1	no	—
1010	C₇×C₈	C₂×#41	1	2	yes	—
1011	C₂×#41	—	2	1	no	—
1012	C₂×#41	—	2	1	no	—
1013	C₂×#41	C₇×D₄	1	1	yes	characteristic
1014	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1015	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1016	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1017	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1018	C₂²×D₄	—	2	1	no	—
1019	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1020	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1021	C₂³×C₄	—	2	1	no	—
1022	C₂³×C₄	—	2	1	no	—
1023	AGL(1,ℤ/8)	—	2	4	no	—
1024	#135	—	2	4	no	—
1025	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1026	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1027	C₂×SD₁₆	—	2	4	no	—
1028	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1029	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1030	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1031	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1032	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1033	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1034	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1035	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1036	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1037	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1038	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1039	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1040	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1041	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1042	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1043	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1044	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1045	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1046	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1047	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1048	C₄⋊Q₈	—	2	1	no	—
1049	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1050	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1051	#127	—	2	1	no	—
1052	#127	C₂³×C₇	1	1	yes	characteristic
1053	#127	C₂³×C₇	1	1	yes	characteristic
1054	#126	—	2	1	no	—
1055	#126	—	2	1	no	—
1056	#126	—	2	1	no	—
1057	#126	—	2	1	no	—
1058	#126	—	2	1	no	—
1059	#126	—	2	1	no	—
1060	#126	—	2	1	no	—
1061	#126	—	2	1	no	—
1062	#126	—	2	1	no	—
1063	#126	—	2	1	no	—
1064	#125	—	2	1	no	—
1065	#125	—	2	1	no	—
1066	#125	—	2	1	no	—
1067	#125	C₂³×C₇	1	1	yes	characteristic
1068	#125	C₂³×C₇	1	1	yes	characteristic
1069	#125	C₂³×C₇	1	1	yes	characteristic
1070	#125	C₂³×C₇	1	1	yes	characteristic
1071	#124	—	2	1	no	—
1072	#124	—	2	1	no	—
1073	#124	—	2	1	no	—
1074	#124	—	2	1	no	—
1075	#124	—	2	1	no	—
1076	#124	—	2	1	no	—
1077	#124	—	2	1	no	—
1078	#124	C₂³×C₇	1	1	yes	characteristic
1079	#124	C₂³×C₇	1	1	yes	characteristic
1080	#124	C₂³×C₇	1	1	yes	characteristic
1081	#124	C₂³×C₇	1	1	yes	characteristic
1082	#123	—	2	1	no	—
1083	#123	—	2	1	no	—
1084	#123	—	2	1	no	—
1085	#123	—	2	1	no	—
1086	#123	—	2	1	no	—
1087	#123	—	2	1	no	—
1088	#123	—	2	1	no	—
1089	#123	—	2	1	no	—
1090	#123	—	2	1	no	—
1091	#123	—	2	1	no	—
1092	#123	—	2	1	no	—
1093	#123	—	2	1	no	—
1094	#123	—	2	1	no	—
1095	#123	—	2	1	no	—
1096	C₂²⋊Q₈	—	2	1	no	—
1097	C₂²⋊Q₈	—	2	1	no	—
1098	C₂²⋊Q₈	—	2	1	no	—
1099	C₂²⋊Q₈	—	2	1	no	—
1100	C₂²⋊Q₈	—	2	1	no	—
1101	C₂²⋊Q₈	—	2	1	no	—
1102	C₂²⋊Q₈	—	2	1	no	—
1103	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1104	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1105	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1106	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1107	#121	—	2	1	no	—
1108	#121	—	2	1	no	—
1109	#121	—	2	1	no	—
1110	#121	—	2	1	no	—
1111	#121	—	2	1	no	—
1112	#121	—	2	1	no	—
1113	#121	—	2	1	no	—
1114	#121	—	2	1	no	—
1115	#121	—	2	1	no	—
1116	#121	—	2	1	no	—
1117	#121	—	2	1	no	—
1118	#121	—	2	1	no	—
1119	#121	—	2	1	no	—
1120	#121	C₂³×C₇	1	1	yes	characteristic
1121	#121	C₂³×C₇	1	1	yes	characteristic
1122	#121	C₂³×C₇	1	1	yes	characteristic
1123	#121	C₂³×C₇	1	1	yes	characteristic
1124	#121	C₂³×C₇	1	1	yes	characteristic
1125	#121	C₂³×C₇	1	1	yes	characteristic
1126	#121	C₂³×C₇	1	1	yes	characteristic
1127	#121	C₂³×C₇	1	1	yes	characteristic
1128	#120	—	2	1	no	—
1129	#120	—	2	1	no	—
1130	#120	—	2	1	no	—
1131	#120	—	2	1	no	—
1132	C₄×Q₈	—	2	1	no	—
1133	C₄×Q₈	—	2	1	no	—
1134	C₄×Q₈	—	2	1	no	—
1135	C₄×Q₈	—	2	1	no	—
1136	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
1137	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1138	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1139	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1140	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1141	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1142	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1143	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1144	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1145	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1146	C₄×D₄	—	2	1	no	—
1147	C₄×D₄	—	2	1	no	—
1148	C₄×D₄	—	2	1	no	—
1149	C₄×D₄	—	2	1	no	—
1150	C₄×D₄	—	2	1	no	—
1151	C₄×D₄	—	2	1	no	—
1152	C₄×D₄	—	2	1	no	—
1153	C₄×D₄	—	2	1	no	—
1154	C₄×D₄	—	2	1	no	—
1155	C₄×D₄	—	2	1	no	—
1156	C₄×D₄	—	2	1	no	—
1157	C₄×D₄	—	2	1	no	—
1158	C₄×D₄	—	2	1	no	—
1159	C₄×D₄	—	2	1	no	—
1160	C₄×D₄	—	2	1	no	—
1161	C₄×D₄	—	2	1	no	—
1162	C₄×D₄	—	2	1	no	—
1163	C₄×D₄	—	2	1	no	—
1164	C₄×D₄	—	2	1	no	—
1165	C₄×D₄	—	2	1	no	—
1166	C₄×D₄	—	2	1	no	—
1167	C₄×D₄	—	2	1	no	—
1168	C₄×D₄	—	2	1	no	—
1169	C₄×D₄	—	2	1	no	—
1170	C₄×D₄	—	2	1	no	—
1171	C₄×D₄	—	2	1	no	—
1172	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1173	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1174	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1175	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1176	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1177	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1178	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1179	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1180	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1181	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1182	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1183	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1184	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1185	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1186	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1187	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1188	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1189	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1190	#117	—	2	1	no	—
1191	#117	—	2	1	no	—
1192	#117	—	2	1	no	—
1193	#117	—	2	1	no	—
1194	#117	—	2	1	no	—
1195	#117	—	2	1	no	—
1196	#117	—	2	1	no	—
1197	#117	C₇×D₄	1	1	yes	characteristic
1198	#117	C₇×D₄	1	1	yes	characteristic
1199	#117	C₇×D₄	1	1	yes	characteristic
1200	#117	C₂³×C₇	1	1	yes	characteristic
1201	#117	C₂³×C₇	1	1	yes	characteristic
1202	#117	C₂³×C₇	1	1	yes	characteristic
1203	C₂×C₄⋊C₄	—	2	1	no	—
1204	C₂×C₄⋊C₄	—	2	1	no	—
1205	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1206	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1207	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1208	C₂×C₂²⋊C₄	—	2	1	no	—
1209	C₂×C₂²⋊C₄	—	2	1	no	—
1210	C₂×C₂²⋊C₄	—	2	1	no	—
1211	C₂×C₂²⋊C₄	—	2	1	no	—
1212	C₂×C₄²	—	2	1	no	—
1213	C₂×C₄²	—	2	1	no	—
1214	C₂×C₄²	—	2	1	no	—
1215	C₂×C₄²	—	2	1	no	—
1216	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1217	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1218	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1219	#107	C₂³×C₇	1	1	yes	characteristic
1220	#107	C₂³×C₇	1	1	yes	characteristic
1221	#107	C₂³×C₇	1	1	yes	characteristic
1222	#107	C₂³×C₇	1	1	yes	characteristic
1223	#107	C₂³×C₇	1	1	yes	characteristic
1224	#107	C₂³×C₇	1	1	yes	characteristic
1225	#107	C₂³×C₇	1	1	yes	characteristic
1226	#107	C₂³×C₇	1	1	yes	characteristic
1227	#106	C₂³×C₇	1	1	yes	characteristic
1228	#106	C₂³×C₇	1	1	yes	characteristic
1229	#106	C₂³×C₇	1	1	yes	characteristic
1230	#106	C₂³×C₇	1	1	yes	characteristic
1231	#106	C₂³×C₇	1	1	yes	characteristic
1232	#106	C₂³×C₇	1	1	yes	characteristic
1233	#106	C₂³×C₇	1	1	yes	characteristic
1234	#106	C₂³×C₇	1	1	yes	characteristic
1235	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1236	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1237	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1238	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1239	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1240	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1241	#103	C₂³×C₇	1	1	yes	characteristic
1242	#103	C₂³×C₇	1	1	yes	characteristic
1243	#103	C₂³×C₇	1	1	yes	characteristic
1244	#103	C₂³×C₇	1	1	yes	characteristic
1245	#103	C₂³×C₇	1	1	yes	characteristic
1246	#103	C₂³×C₇	1	1	yes	characteristic
1247	#103	C₂³×C₇	1	1	yes	characteristic
1248	#103	C₂³×C₇	1	1	yes	characteristic
1249	#103	C₂³×C₇	1	1	yes	characteristic
1250	#103	C₂³×C₇	1	1	yes	characteristic
1251	#103	C₂³×C₇	1	1	yes	characteristic
1252	#103	C₂³×C₇	1	1	yes	characteristic
1253	#102	C₂³×C₇	1	1	yes	characteristic
1254	#102	C₂³×C₇	1	1	yes	characteristic
1255	#102	C₂³×C₇	1	1	yes	characteristic
1256	#102	C₂³×C₇	1	1	yes	characteristic
1257	#102	C₂³×C₇	1	1	yes	characteristic
1258	#102	C₂³×C₇	1	1	yes	characteristic
1259	#102	C₂³×C₇	1	1	yes	characteristic
1260	#102	C₂³×C₇	1	1	yes	characteristic
1261	#102	C₂³×C₇	1	1	yes	characteristic
1262	#102	C₂³×C₇	1	1	yes	characteristic
1263	#102	C₂³×C₇	1	1	yes	characteristic
1264	#102	C₂³×C₇	1	1	yes	characteristic
1265	#102	C₂³×C₇	1	1	yes	characteristic
1266	#102	C₂³×C₇	1	1	yes	characteristic
1267	#102	C₂³×C₇	1	1	yes	characteristic
1268	#102	C₂³×C₇	1	1	yes	characteristic
1269	#102	C₂³×C₇	1	1	yes	characteristic
1270	#102	C₂³×C₇	1	1	yes	characteristic
1271	#102	C₂³×C₇	1	1	yes	characteristic
1272	#102	C₂³×C₇	1	1	yes	characteristic
1273	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1274	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1275	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1276	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1277	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1278	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1279	#97	C₂³×C₇	1	1	yes	characteristic
1280	#97	C₂³×C₇	1	1	yes	characteristic
1281	#97	C₂³×C₇	1	1	yes	characteristic
1282	#97	C₂³×C₇	1	1	yes	characteristic
1283	#97	C₂³×C₇	1	1	yes	characteristic
1284	#97	C₂³×C₇	1	1	yes	characteristic
1285	#97	C₂³×C₇	1	1	yes	characteristic
1286	#97	C₂³×C₇	1	1	yes	characteristic
1287	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1288	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1289	C₂²×C₇	—	2	1	no	—
1290	C₂²×C₇	—	2	1	no	—
1291	C₂²×C₇	—	2	1	no	—
1292	C₂²×C₇	—	2	1	no	—
1293	C₂²×C₇	—	2	1	no	—
1294	C₂²×C₇	—	2	1	no	—
1295	C₂²×C₇	—	2	2	no	—
1296	C₂²×C₇	—	2	1	no	—
1297	C₂²×C₇	—	2	1	no	—
1298	C₂²×C₇	—	4	1	no	—
1299	C₂²×C₇	—	4	1	no	—
1300	C₂²×C₇	—	4	1	no	—
1301	C₂²×C₇	—	4	1	no	—
1302	C₂²×C₇	—	4	1	no	—
1303	C₂²×C₇	—	4	1	no	—
1304	C₂²×C₇	—	4	1	no	—
1305	C₂²×C₇	—	4	1	no	—
1306	C₂²×C₇	—	4	1	no	—
1307	C₂²×C₇	—	4	1	no	—
1308	C₂²×C₇	—	4	1	no	—
1309	C₂²×C₇	—	4	1	no	—
1310	C₂²×C₇	—	4	1	no	—
1311	C₂²×C₇	—	4	1	no	—
1312	C₂²×C₇	—	8	4	no	—
1313	C₂²×C₇	—	8	4	no	—
1314	C₂²×C₇	#575	1	2	yes	—
1315	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1316	C₄×C₇	—	2	1	no	—
1317	C₄×C₇	—	2	1	no	—
1318	C₄×C₇	—	2	1	no	—
1319	C₄×C₇	—	2	1	no	—
1320	C₄×C₇	—	2	1	no	—
1321	C₄×C₇	—	2	1	no	—
1322	C₄×C₇	—	2	1	no	—
1323	C₄×C₇	—	2	2	no	—
1324	C₄×C₇	—	2	1	no	—
1325	C₄×C₇	—	2	1	no	—
1326	C₄×C₇	—	2	1	no	—
1327	C₄×C₇	—	2	1	no	—
1328	C₄×C₇	—	4	1	no	—
1329	C₄×C₇	—	4	1	no	—
1330	C₄×C₇	—	4	1	no	—
1331	C₄×C₇	—	4	1	no	—
1332	C₄×C₇	—	4	1	no	—
1333	C₄×C₇	—	4	1	no	—
1334	C₄×C₇	—	4	1	no	—
1335	C₄×C₇	—	4	1	no	—
1336	C₄×C₇	—	4	1	no	—
1337	C₄×C₇	—	4	1	no	—
1338	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1339	C₄×C₇	#585	1	1	yes	characteristic
1340	C₂⁴	—	2	1	no	—
1341	C₂⁴	—	2	1	no	—
1342	#41	—	2	2	no	—
1343	#41	—	2	2	no	—
1344	#41	—	2	2	no	—
1345	#41	—	4	2	no	—
1346	#41	—	4	1	no	—
1347	#41	—	4	1	no	—
1348	#41	—	4	1	no	—
1349	#41	—	4	4	no	—
1350	#41	—	8	2	no	—
1351	C₂×Q₈	—	2	1	no	—
1352	C₂×Q₈	—	2	1	no	—
1353	C₂×Q₈	—	2	1	no	—
1354	C₂×Q₈	—	2	2	no	—
1355	C₂×Q₈	—	4	1	no	—
1356	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1357	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1358	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1359	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1360	C₂×D₄	—	2	2	no	—
1361	C₂×D₄	—	2	2	no	—
1362	C₂×D₄	—	2	1	no	—
1363	C₂×D₄	—	2	1	no	—
1364	C₂×D₄	—	2	1	no	—
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	—	2	1	no	—
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	4	1	no	—
1380	C₂×D₄	—	4	1	no	—
1381	C₂×D₄	—	4	4	no	—
1382	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1383	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1384	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1385	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1386	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1387	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1388	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1389	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	—	2	1	no	—
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	2	1	no	—
1409	C₂²×C₄	—	8	2	no	—
1410	C₂²×C₄	—	8	2	no	—
1411	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1412	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1413	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1414	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1415	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1416	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1417	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1418	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1419	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1420	Q₁₆	—	2	2	no	—
1421	Q₁₆	—	4	1	no	—
1422	SD₁₆	—	2	2	no	—
1423	SD₁₆	—	2	2	no	—
1424	SD₁₆	—	2	2	no	—
1425	SD₁₆	—	2	2	no	—
1426	SD₁₆	—	2	2	no	—
1427	SD₁₆	—	4	1	no	—
1428	SD₁₆	—	4	1	no	—
1429	SD₁₆	C₇×#41	1	4	yes	complemented
1430	D₈	—	2	2	no	—
1431	D₈	—	2	2	no	—
1432	D₈	—	2	2	no	—
1433	D₈	—	4	1	no	—
1434	D₈	—	4	1	no	—
1435	D₈	—	4	1	no	—
1436	M₁₆	—	2	2	no	—
1437	M₁₆	—	4	1	no	—
1438	C₂×C₈	—	2	2	no	—
1439	C₂×C₈	—	2	2	no	—
1440	C₂×C₈	—	4	1	no	—
1441	C₂×C₈	—	4	1	no	—
1442	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1443	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1444	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1445	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1446	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1447	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1448	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1449	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1476	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1477	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1478	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1479	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1480	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1481	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1482	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1483	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1484	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1485	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1486	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1487	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1488	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1525	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1526	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1527	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1528	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1529	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1530	C₄²	—	2	1	no	—
1531	C₄²	—	2	1	no	—
1532	C₄²	—	2	1	no	—
1533	C₄²	—	2	1	no	—
1534	C₄²	—	2	1	no	—
1535	C₄²	—	2	1	no	—
1536	C₄²	—	2	1	no	—
1537	C₄²	—	2	1	no	—
1538	C₄²	—	2	1	no	—
1539	C₄²	—	2	1	no	—
1540	C₄²	—	2	1	no	—
1541	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1542	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1543	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1544	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1545	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1546	C₄²	C₂×C₇×D₄	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	C₂×C₇	—	2	2	no	—
1552	C₂×C₇	—	4	1	no	—
1553	C₂×C₇	—	4	1	no	—
1554	C₂×C₇	—	4	2	no	—
1555	C₂×C₇	—	8	1	no	—
1556	C₂×C₇	—	8	1	no	—
1557	C₂×C₇	—	8	1	no	—
1558	C₂×C₇	—	8	1	no	—
1559	C₂×C₇	D₄×#41	1	1	yes	characteristic
1560	C₂×C₇	C₂×#575	1	1	yes	characteristic
1561	C₂×C₇	#3585	1	1	yes	characteristic
1562	C₂³	—	2	1	no	—
1563	C₂³	—	2	1	no	—
1564	C₂³	—	2	1	no	—
1565	C₂³	—	2	1	no	—
1566	C₂³	—	2	1	no	—
1567	C₂³	—	4	2	no	—
1568	C₂³	—	4	2	no	—
1569	C₂³	—	4	2	no	—
1570	C₂³	—	4	2	no	—
1571	C₂³	—	8	1	no	—
1572	C₂³	—	8	1	no	—
1573	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1574	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1575	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1576	Q₈	—	2	1	no	—
1577	Q₈	—	2	1	no	—
1578	Q₈	—	2	1	no	—
1579	Q₈	—	2	1	no	—
1580	Q₈	—	2	1	no	—
1581	Q₈	—	4	1	no	—
1582	Q₈	—	4	2	no	—
1583	Q₈	—	4	2	no	—
1584	Q₈	—	8	1	no	—
1585	Q₈	C₂×C₇×#41	1	2	yes	—
1586	D₄	—	2	2	no	—
1587	D₄	—	2	2	no	—
1588	D₄	—	2	1	no	—
1589	D₄	—	2	1	no	—
1590	D₄	—	2	1	no	—
1591	D₄	—	2	1	no	—
1592	D₄	—	2	1	no	—
1593	D₄	—	2	1	no	—
1594	D₄	—	2	1	no	—
1595	D₄	—	2	1	no	—
1596	D₄	—	2	1	no	—
1597	D₄	—	4	1	no	—
1598	D₄	—	4	2	no	—
1599	D₄	—	4	2	no	—
1600	D₄	—	4	2	no	—
1601	D₄	—	4	2	no	—
1602	D₄	—	4	2	no	—
1603	D₄	—	4	2	no	—
1604	D₄	—	4	2	no	—
1605	D₄	—	4	2	no	—
1606	D₄	—	4	2	no	—
1607	D₄	—	4	2	no	—
1608	D₄	—	4	2	no	—
1609	D₄	—	8	1	no	—
1610	D₄	—	8	1	no	—
1611	D₄	—	8	1	no	—
1612	D₄	—	8	1	no	—
1613	D₄	—	8	1	no	—
1614	D₄	—	8	1	no	—
1615	D₄	C₂×C₇×#41	1	2	yes	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	2	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	2	1	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	4	1	no	—
1635	C₂×C₄	—	4	1	no	—
1636	C₂×C₄	—	4	1	no	—
1637	C₂×C₄	—	4	1	no	—
1638	C₂×C₄	—	4	1	no	—
1639	C₂×C₄	—	4	2	no	—
1640	C₂×C₄	—	4	2	no	—
1641	C₂×C₄	—	4	2	no	—
1642	C₂×C₄	—	4	2	no	—
1643	C₂×C₄	—	4	2	no	—
1644	C₂×C₄	—	4	2	no	—
1645	C₂×C₄	—	4	2	no	—
1646	C₂×C₄	—	4	2	no	—
1647	C₂×C₄	—	4	2	no	—
1648	C₂×C₄	—	4	2	no	—
1649	C₂×C₄	—	8	1	no	—
1650	C₂×C₄	—	8	1	no	—
1651	C₂×C₄	—	8	1	no	—
1652	C₂×C₄	—	8	1	no	—
1653	C₂×C₄	—	8	1	no	—
1654	C₂×C₄	—	8	1	no	—
1655	C₂×C₄	—	8	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	8	1	no	—
1658	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1659	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1660	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1661	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1662	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1663	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1664	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1665	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1666	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1667	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1668	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1669	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1670	C₈	—	2	1	no	—
1671	C₈	—	2	1	no	—
1672	C₈	—	2	1	no	—
1673	C₈	—	2	1	no	—
1674	C₈	—	2	1	no	—
1675	C₈	—	2	1	no	—
1676	C₈	—	2	1	no	—
1677	C₈	C₂×C₇×#41	1	2	yes	—
1678	C₇	#61456	1	1	yes	characteristic, direct product factor, Sylow
1679	C₂²	—	2	1	no	—
1680	C₂²	—	2	1	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	1	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	2	2	no	—
1688	C₂²	—	4	1	no	—
1689	C₂²	—	4	1	no	—
1690	C₂²	—	4	1	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	4	1	no	—
1697	C₂²	—	4	1	no	—
1698	C₂²	—	4	1	no	—
1699	C₂²	—	4	1	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	8	4	no	—
1703	C₂²	—	8	4	no	—
1704	C₂²	C₇×#575	1	2	yes	—
1705	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1706	C₄	—	2	1	no	—
1707	C₄	—	2	1	no	—
1708	C₄	—	2	1	no	—
1709	C₄	—	2	1	no	—
1710	C₄	—	2	1	no	—
1711	C₄	—	2	1	no	—
1712	C₄	—	2	1	no	—
1713	C₄	—	2	1	no	—
1714	C₄	—	2	1	no	—
1715	C₄	—	2	1	no	—
1716	C₄	—	2	1	no	—
1717	C₄	—	2	2	no	—
1718	C₄	—	4	1	no	—
1719	C₄	—	4	1	no	—
1720	C₄	—	4	1	no	—
1721	C₄	—	4	1	no	—
1722	C₄	—	4	1	no	—
1723	C₄	—	4	1	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	4	1	no	—
1726	C₄	—	4	1	no	—
1727	C₄	—	4	1	no	—
1728	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1729	C₄	C₇×#585	1	1	yes	characteristic
1730	C₂	—	2	2	no	—
1731	C₂	—	4	1	no	—
1732	C₂	—	4	1	no	—
1733	C₂	—	4	2	no	—
1734	C₂	—	8	1	no	—
1735	C₂	—	8	1	no	—
1736	C₂	—	8	1	no	—
1737	C₂	—	8	1	no	—
1738	C₂	C₇×D₄×#41	1	1	yes	characteristic
1739	C₂	C₂×C₇×#575	1	1	yes	characteristic
1740	C₂	C₇×#3585	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₇×#3481	C₂	semidirect
2. C₇×#3480	C₂	semidirect
3. C₇×#3403	C₂	semidirect
4. C₇×#3388	C₂	semidirect
5. C₇×#3371	C₂	semidirect
6. C₇×#3370	C₂	semidirect
7. C₇×#3350	C₂	semidirect
8. C₇×#3346	C₂	semidirect
9. C₇×#3339	C₂	semidirect
10. C₇×#3318	C₂	semidirect
11. C₇×#3316	C₂	semidirect
12. C₇×#3311	C₂	semidirect
13. C₇×#3309	C₂	semidirect
14. C₇×#3301	C₂	semidirect
15. C₇×#3297	C₂	semidirect
16. C₇×#3282	C₂	semidirect
17. C₇×#3268	C₂	semidirect
18. C₇×#3265	C₂	semidirect
19. C₇×#3183	C₂	semidirect
20. C₇×#3180	C₂	semidirect
21. C₇×#3180	C₂	semidirect
22. C₇×#3117	C₂	semidirect
23. C₇×#3115	C₂	semidirect
24. C₇×#3114	C₂	semidirect
25. C₇×#3111	C₂	semidirect
26. C₇×#3111	C₂	semidirect
27. C₇×#3109	C₂	semidirect
28. C₇×#2970	C₂	semidirect
29. C₄×C₇×AGL(1,ℤ/8)	C₂	semidirect
30. C₇×#2943	C₂	semidirect
31. C₂×C₇×#440	C₂	semidirect
37. C₇×#559	C₂²	semidirect
38. C₇×#557	C₂²	semidirect
40. C₇×#556	C₂²	semidirect
49. C₇×#553	C₂²	semidirect
52. C₇×#550	C₂²	semidirect
54. C₇×#548	C₂²	semidirect
61. C₇×#532	C₂²	semidirect
67. C₇×#529	C₂²	semidirect
68. C₇×#529	C₂²	semidirect
74. C₄×C₇×#41	C₂²	semidirect
75. C₄×C₇×#41	C₂²	semidirect
76. C₂×C₄×C₇×Q₈	C₂²	semidirect
80. C₇×#501	C₂²	semidirect
81. C₇×#501	C₂²	semidirect
82. C₇×#499	C₂²	semidirect
84. C₇×#496	C₂²	semidirect
85. C₇×#495	C₂²	semidirect
87. C₇×#490	C₂²	semidirect
88. C₇×#489	C₂²	semidirect
89. C₇×#489	C₂²	semidirect
90. C₇×#488	C₂²	semidirect
91. C₇×#488	C₂²	semidirect
92. C₇×#485	C₂²	semidirect
93. C₇×#485	C₂²	semidirect
94. C₇×#484	C₂²	semidirect
95. C₇×#483	C₂²	semidirect
97. C₇×#482	C₂²	semidirect
98. C₇×#482	C₂²	semidirect
99. C₇×#482	C₂²	semidirect
101. C₇×#481	C₂²	semidirect
102. C₇×#481	C₂²	semidirect
103. C₇×#480	C₂²	semidirect
104. C₇×#479	C₂²	semidirect
105. C₇×#479	C₂²	semidirect
106. C₇×#479	C₂²	semidirect
107. C₇×#479	C₂²	semidirect
110. C₇×#478	C₂²	semidirect
111. C₇×#478	C₂²	semidirect
113. C₇×#476	C₂²	semidirect
114. C₇×#475	C₂²	semidirect
115. C₇×#474	C₂²	semidirect
116. C₇×#470	C₂²	semidirect
119. C₇×#468	C₂²	semidirect
122. C₇×#466	C₂²	semidirect
123. C₇×#466	C₂²	semidirect
124. C₇×#465	C₂²	semidirect
125. C₇×#465	C₂²	semidirect
126. C₇×#465	C₂²	semidirect
127. C₇×#465	C₂²	semidirect
128. C₇×#464	C₂²	semidirect
129. C₇×#464	C₂²	semidirect
130. C₇×#464	C₂²	semidirect
131. C₇×#464	C₂²	semidirect
134. C₇×#463	C₂²	semidirect
135. C₇×#463	C₂²	semidirect
139. C₇×#459	C₂²	semidirect
141. C₇×#452	C₂²	semidirect
142. C₇×#451	C₂²	semidirect
146. C₇×#449	C₂²	semidirect
147. C₇×#449	C₂²	semidirect
152. C₇×#446	C₂²	semidirect
153. C₇×#446	C₂²	semidirect
157. C₇×#442	C₂²	semidirect
158. C₇×#442	C₂²	semidirect
159. C₇×#442	C₂²	semidirect
160. C₇×#442	C₂²	semidirect
161. C₇×#441	C₂²	semidirect
162. C₇×#441	C₂²	semidirect
163. C₇×#441	C₂²	semidirect
169. C₇×#440	C₂²	semidirect
170. C₇×#440	C₂²	semidirect
171. C₇×#440	C₂²	semidirect
172. C₇×#440	C₂²	semidirect
173. C₇×#440	C₂²	semidirect
174. C₇×#440	C₂²	semidirect
175. C₇×#440	C₂²	semidirect
176. C₇×#440	C₂²	semidirect
177. C₇×#440	C₂²	semidirect
179. C₄×C₇×SD₁₆	C₂²	semidirect
181. C₄×C₇×D₈	C₂²	semidirect
184. C₇×#435	C₂²	semidirect
185. C₇×#435	C₂²	semidirect
186. C₇×C₈×D₄	C₂²	semidirect
187. C₇×C₈×D₄	C₂²	semidirect
188. C₇×#432	C₂²	semidirect
189. C₇×#432	C₂²	semidirect
190. C₇×#432	C₂²	semidirect
191. C₇×#428	C₂²	semidirect
192. C₇×#427	C₂²	semidirect
193. C₂×C₇×#107	C₂²	semidirect
195. C₇×#417	C₂²	semidirect
197. C₇×#416	C₂²	semidirect
198. C₂×C₇×#103	C₂²	semidirect
200. C₄×C₇×M₁₆	C₂²	semidirect
201. C₂×C₇×#97	C₂²	semidirect
202. C₂×C₇×#97	C₂²	semidirect
203. #61456	C₇	direct (N × H)
482. #3481	C₂×C₇	semidirect
483. #3480	C₂×C₇	semidirect
484. #3403	C₂×C₇	semidirect
485. #3388	C₂×C₇	semidirect
486. #3371	C₂×C₇	semidirect
487. #3370	C₂×C₇	semidirect
488. #3350	C₂×C₇	semidirect
489. #3346	C₂×C₇	semidirect
490. #3339	C₂×C₇	semidirect
491. #3318	C₂×C₇	semidirect
492. #3316	C₂×C₇	semidirect
493. #3311	C₂×C₇	semidirect
494. #3309	C₂×C₇	semidirect
495. #3301	C₂×C₇	semidirect
496. #3297	C₂×C₇	semidirect
497. #3282	C₂×C₇	semidirect
498. #3268	C₂×C₇	semidirect
499. #3265	C₂×C₇	semidirect
500. #3183	C₂×C₇	semidirect
501. #3180	C₂×C₇	semidirect
502. #3180	C₂×C₇	semidirect
503. #3117	C₂×C₇	semidirect
504. #3115	C₂×C₇	semidirect
505. #3114	C₂×C₇	semidirect
506. #3111	C₂×C₇	semidirect
507. #3111	C₂×C₇	semidirect
508. #3109	C₂×C₇	semidirect
509. #2970	C₂×C₇	semidirect
510. C₄×AGL(1,ℤ/8)	C₂×C₇	semidirect
511. #2943	C₂×C₇	semidirect
512. C₂×#440	C₂×C₇	semidirect
602. C₇×SD₁₆	#41	semidirect
729. #559	C₂²×C₇	semidirect
730. #557	C₂²×C₇	semidirect
732. #556	C₂²×C₇	semidirect
741. #553	C₂²×C₇	semidirect
744. #550	C₂²×C₇	semidirect
746. #548	C₂²×C₇	semidirect
753. #532	C₂²×C₇	semidirect
759. #529	C₂²×C₇	semidirect
760. #529	C₂²×C₇	semidirect
766. C₄×#41	C₂²×C₇	semidirect
767. C₄×#41	C₂²×C₇	semidirect
768. C₂×C₄×Q₈	C₂²×C₇	semidirect
772. #501	C₂²×C₇	semidirect
773. #501	C₂²×C₇	semidirect
774. #499	C₂²×C₇	semidirect
776. #496	C₂²×C₇	semidirect
777. #495	C₂²×C₇	semidirect
779. #490	C₂²×C₇	semidirect
780. #489	C₂²×C₇	semidirect
781. #489	C₂²×C₇	semidirect
782. #488	C₂²×C₇	semidirect
783. #488	C₂²×C₇	semidirect
784. #485	C₂²×C₇	semidirect
785. #485	C₂²×C₇	semidirect
786. #484	C₂²×C₇	semidirect
787. #483	C₂²×C₇	semidirect
789. #482	C₂²×C₇	semidirect
790. #482	C₂²×C₇	semidirect
791. #482	C₂²×C₇	semidirect
793. #481	C₂²×C₇	semidirect
794. #481	C₂²×C₇	semidirect
795. #480	C₂²×C₇	semidirect
796. #479	C₂²×C₇	semidirect
797. #479	C₂²×C₇	semidirect
798. #479	C₂²×C₇	semidirect
799. #479	C₂²×C₇	semidirect
802. #478	C₂²×C₇	semidirect
803. #478	C₂²×C₇	semidirect
805. #476	C₂²×C₇	semidirect
806. #475	C₂²×C₇	semidirect
807. #474	C₂²×C₇	semidirect
808. #470	C₂²×C₇	semidirect
811. #468	C₂²×C₇	semidirect
814. #466	C₂²×C₇	semidirect
815. #466	C₂²×C₇	semidirect
816. #465	C₂²×C₇	semidirect
817. #465	C₂²×C₇	semidirect
818. #465	C₂²×C₇	semidirect
819. #465	C₂²×C₇	semidirect
820. #464	C₂²×C₇	semidirect
821. #464	C₂²×C₇	semidirect
822. #464	C₂²×C₇	semidirect
823. #464	C₂²×C₇	semidirect
826. #463	C₂²×C₇	semidirect
827. #463	C₂²×C₇	semidirect
831. #459	C₂²×C₇	semidirect
833. #452	C₂²×C₇	semidirect
834. #451	C₂²×C₇	semidirect
838. #449	C₂²×C₇	semidirect
839. #449	C₂²×C₇	semidirect
844. #446	C₂²×C₇	semidirect
845. #446	C₂²×C₇	semidirect
849. #442	C₂²×C₇	semidirect
850. #442	C₂²×C₇	semidirect
851. #442	C₂²×C₇	semidirect
852. #442	C₂²×C₇	semidirect
853. #441	C₂²×C₇	semidirect
854. #441	C₂²×C₇	semidirect
855. #441	C₂²×C₇	semidirect
861. #440	C₂²×C₇	semidirect
862. #440	C₂²×C₇	semidirect
863. #440	C₂²×C₇	semidirect
864. #440	C₂²×C₇	semidirect
865. #440	C₂²×C₇	semidirect
866. #440	C₂²×C₇	semidirect
867. #440	C₂²×C₇	semidirect
868. #440	C₂²×C₇	semidirect
869. #440	C₂²×C₇	semidirect
871. C₄×SD₁₆	C₂²×C₇	semidirect
873. C₄×D₈	C₂²×C₇	semidirect
876. #435	C₂²×C₇	semidirect
877. #435	C₂²×C₇	semidirect
878. C₈×D₄	C₂²×C₇	semidirect
879. C₈×D₄	C₂²×C₇	semidirect
880. #432	C₂²×C₇	semidirect
881. #432	C₂²×C₇	semidirect
882. #432	C₂²×C₇	semidirect
883. #428	C₂²×C₇	semidirect
884. #427	C₂²×C₇	semidirect
885. C₂×#107	C₂²×C₇	semidirect
887. #417	C₂²×C₇	semidirect
889. #416	C₂²×C₇	semidirect
890. C₂×#103	C₂²×C₇	semidirect
892. C₄×M₁₆	C₂²×C₇	semidirect
893. C₂×#97	C₂²×C₇	semidirect
894. C₂×#97	C₂²×C₇	semidirect
1429. SD₁₆	C₇×#41	semidirect
1678. C₇	#61456	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×#3481	2
C₇×#3480	2
C₇×#3403	2
C₇×#3388	2
C₇×#3371	2
C₇×#3370	2
C₇×#3350	2
C₇×#3346	2
C₇×#3339	2
C₇×#3318	2
C₇×#3316	2
C₇×#3311	2
C₇×#3309	2
C₇×#3301	2
C₇×#3297	2
C₇×#3282	2
C₇×#3268	2
C₇×#3265	2
C₇×#3183	2
C₇×#3180	2
C₇×#3117	2
C₇×#3115	2
C₇×#3114	2
C₇×#3111	2
C₇×#3109	2
C₇×#2970	2
C₄×C₇×AGL(1,ℤ/8)	2
C₇×#2943	2
C₂×C₇×#440	2
#61456	7

Subgroups — C7×#61456 #13238672

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61456 #13238672