Subgroups — C₇×#61855 #13239071

Order 1792.

1680 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3557	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3501	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3389	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3389	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3388	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3388	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3386	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3384	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3381	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3380	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3376	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3376	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3373	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3370	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3370	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3367	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3361	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3360	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3244	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3243	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3242	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3241	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#3240	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#3233	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#3123	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#3122	C₂	1	1	yes	maximal, characteristic
27	C₇×#3118	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#3118	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#3114	C₂	1	1	yes	maximal, characteristic, complemented
30	C₇×#3105	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇×#2985	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#563	—	2	1	no	—
33	C₇×#563	—	2	1	no	—
34	C₇×#559	C₂²	1	1	yes	characteristic, complemented
35	C₇×#559	C₂²	1	1	yes	characteristic, complemented
36	C₇×#557	C₂²	1	1	yes	characteristic, complemented
37	C₇×#557	C₂²	1	1	yes	characteristic, complemented
38	C₇×#556	C₂²	1	1	yes	characteristic, complemented
39	C₇×#556	C₂²	1	1	yes	characteristic, complemented
40	C₇×#554	—	2	1	no	—
41	C₇×#554	—	2	1	no	—
42	C₇×#554	—	2	1	no	—
43	C₇×#554	C₂²	1	1	yes	characteristic
44	C₇×#554	C₂²	1	1	yes	characteristic
45	C₇×#554	C₂²	1	1	yes	characteristic
46	C₇×#554	C₂²	1	1	yes	characteristic
47	C₇×#554	C₂²	1	1	yes	characteristic
48	C₇×#554	C₂²	1	1	yes	characteristic
49	C₇×#554	C₂²	1	1	yes	characteristic, complemented
50	C₇×#554	C₂²	1	1	yes	characteristic, complemented
51	C₇×#552	—	2	1	no	—
52	C₇×#552	—	2	1	no	—
53	C₇×D₄×Q₈	—	2	1	no	—
54	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic
55	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic
56	C₇×#544	C₂²	1	1	yes	characteristic
57	C₇×#544	C₂²	1	1	yes	characteristic
58	C₇×#543	—	2	1	no	—
59	C₇×#543	—	2	1	no	—
60	C₇×#542	—	2	1	no	—
61	C₇×#542	—	2	1	no	—
62	C₇×#542	C₂²	1	1	yes	characteristic
63	C₇×#542	C₂²	1	1	yes	characteristic
64	C₇×#541	C₂²	1	1	yes	characteristic
65	C₇×#540	C₂²	1	1	yes	characteristic
66	C₇×#539	—	2	1	no	—
67	C₇×#539	—	2	1	no	—
68	C₇×#533	C₂²	1	1	yes	characteristic
69	C₇×#533	C₂²	1	1	yes	characteristic
70	C₇×#529	C₂²	1	1	yes	characteristic
71	C₇×#529	C₂²	1	1	yes	characteristic
72	C₂×C₇×C₂²⋊Q₈	—	2	1	no	—
73	C₂×C₇×C₂²⋊Q₈	—	2	1	no	—
74	C₇×#518	C₂²	1	1	yes	characteristic
75	C₇×#518	C₂²	1	1	yes	characteristic
76	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
77	C₇×#501	C₂²	1	1	yes	characteristic, complemented
78	C₇×#501	C₂²	1	1	yes	characteristic, complemented
79	C₇×#501	C₂²	1	1	yes	characteristic, complemented
80	C₇×#501	C₂²	1	1	yes	characteristic, complemented
81	C₇×#501	C₂²	1	1	yes	characteristic, complemented
82	C₇×#501	C₂²	1	1	yes	characteristic, complemented
83	C₇×#500	C₂²	1	1	yes	characteristic, complemented
84	C₇×#499	C₂²	1	1	yes	characteristic, complemented
85	C₇×#499	C₂²	1	1	yes	characteristic, complemented
86	C₇×#499	C₂²	1	1	yes	characteristic, complemented
87	C₇×#499	C₂²	1	1	yes	characteristic, complemented
88	C₇×#498	C₂²	1	1	yes	characteristic, complemented
89	C₇×#491	C₂²	1	1	yes	characteristic, complemented
90	C₇×#490	C₂²	1	1	yes	characteristic, complemented
91	C₇×#489	C₂²	1	1	yes	characteristic, complemented
92	C₇×#489	C₂²	1	1	yes	characteristic, complemented
93	C₇×#489	C₂²	1	1	yes	characteristic, complemented
94	C₇×#489	C₂²	1	1	yes	characteristic, complemented
95	C₇×#488	C₂²	1	1	yes	characteristic, complemented
96	C₇×#488	C₂²	1	1	yes	characteristic, complemented
97	C₇×#488	C₂²	1	1	yes	characteristic, complemented
98	C₇×#488	C₂²	1	1	yes	characteristic, complemented
99	C₇×#487	C₂²	1	1	yes	characteristic, complemented
100	C₇×#486	C₂²	1	1	yes	characteristic, complemented
101	C₇×#485	C₂²	1	1	yes	characteristic
102	C₇×#485	C₂²	1	1	yes	characteristic
103	C₇×#485	C₂²	1	1	yes	characteristic
104	C₇×#485	C₂²	1	1	yes	characteristic
105	C₇×#484	C₂²	1	1	yes	characteristic
106	C₇×#483	C₂²	1	1	yes	characteristic
107	C₇×#482	C₂²	1	1	yes	characteristic
108	C₇×#482	C₂²	1	1	yes	characteristic
109	C₇×#482	C₂²	1	1	yes	characteristic
110	C₇×#482	C₂²	1	1	yes	characteristic
111	C₇×#481	C₂²	1	1	yes	characteristic
112	C₇×#480	C₂²	1	1	yes	characteristic
113	C₇×#479	C₂²	1	1	yes	characteristic, complemented
114	C₇×#479	C₂²	1	1	yes	characteristic, complemented
115	C₇×#479	C₂²	1	1	yes	characteristic, complemented
116	C₇×#479	C₂²	1	1	yes	characteristic, complemented
117	C₇×#479	C₂²	1	1	yes	characteristic, complemented
118	C₇×#479	C₂²	1	1	yes	characteristic, complemented
119	C₇×#478	C₂²	1	1	yes	characteristic
120	C₇×#478	C₂²	1	1	yes	characteristic
121	C₇×#478	C₂²	1	1	yes	characteristic
122	C₇×#478	C₂²	1	1	yes	characteristic
123	C₇×#478	C₂²	1	1	yes	characteristic
124	C₇×#478	C₂²	1	1	yes	characteristic
125	C₇×#478	C₂²	1	1	yes	characteristic
126	C₇×#478	C₂²	1	1	yes	characteristic
127	C₇×#478	C₂²	1	1	yes	characteristic, complemented
128	C₇×#478	C₂²	1	1	yes	characteristic, complemented
129	C₇×#478	C₂²	1	1	yes	characteristic, complemented
130	C₇×#478	C₂²	1	1	yes	characteristic, complemented
131	C₇×#478	C₂²	1	1	yes	characteristic, complemented
132	C₇×#478	C₂²	1	1	yes	characteristic, complemented
133	C₇×#477	C₂²	1	1	yes	characteristic, complemented
134	C₇×#477	C₂²	1	1	yes	characteristic, complemented
135	C₇×#477	C₂²	1	1	yes	characteristic, complemented
136	C₇×#476	C₂²	1	1	yes	characteristic
137	C₇×#476	C₂²	1	1	yes	characteristic
138	C₇×#476	C₂²	1	1	yes	characteristic, complemented
139	C₇×#476	C₂²	1	1	yes	characteristic, complemented
140	C₇×#476	C₂²	1	1	yes	characteristic, complemented
141	C₇×#475	C₂²	1	1	yes	characteristic, complemented
142	C₇×#475	C₂²	1	1	yes	characteristic, complemented
143	C₇×#475	C₂²	1	1	yes	characteristic, complemented
144	C₇×#474	C₂²	1	1	yes	characteristic
145	C₇×#474	C₂²	1	1	yes	characteristic
146	C₇×#474	C₂²	1	1	yes	characteristic, complemented
147	C₇×#474	C₂²	1	1	yes	characteristic, complemented
148	C₇×#474	C₂²	1	1	yes	characteristic, complemented
149	C₇×#463	C₂²	1	1	yes	characteristic
150	C₇×#463	C₂²	1	1	yes	characteristic
151	C₇×#463	C₂²	1	1	yes	characteristic
152	C₇×#463	C₂²	1	1	yes	characteristic
153	C₇×#463	C₂²	1	1	yes	characteristic
154	C₇×#463	C₂²	1	1	yes	characteristic
155	C₇×#463	C₂²	1	1	yes	characteristic
156	C₇×#463	C₂²	1	1	yes	characteristic
157	C₇×#461	C₂²	1	1	yes	characteristic
158	C₇×#461	C₂²	1	1	yes	characteristic
159	C₇×#459	C₂²	1	1	yes	characteristic
160	C₇×#459	C₂²	1	1	yes	characteristic
161	C₇×#450	C₂²	1	1	yes	characteristic
162	C₇×#450	C₂²	1	1	yes	characteristic
163	C₇×#447	C₂²	1	1	yes	characteristic
164	C₇×#447	C₂²	1	1	yes	characteristic
165	C₇×#446	C₂²	1	1	yes	characteristic, complemented
166	C₇×#446	C₂²	1	1	yes	characteristic, complemented
167	C₇×#446	C₂²	1	1	yes	characteristic, complemented
168	C₇×#446	C₂²	1	1	yes	characteristic, complemented
169	C₇×#446	C₂²	1	1	yes	characteristic, complemented
170	C₇×#446	C₂²	1	1	yes	characteristic, complemented
171	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
172	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
173	C₇×#442	C₂²	1	1	yes	characteristic
174	C₇×#442	C₂²	1	1	yes	characteristic
175	C₇×#442	C₂²	1	1	yes	characteristic
176	C₇×#442	C₂²	1	1	yes	characteristic
177	C₇×#442	C₂²	1	1	yes	characteristic
178	C₇×#442	C₂²	1	1	yes	characteristic
179	C₇×#440	C₂²	1	1	yes	characteristic
180	C₇×#440	C₂²	1	1	yes	characteristic
181	C₇×#440	C₂²	1	1	yes	characteristic
182	C₇×#440	C₂²	1	1	yes	characteristic
183	C₇×#440	C₂²	1	1	yes	characteristic
184	C₇×#440	C₂²	1	1	yes	characteristic
185	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
186	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
187	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
188	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
189	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
190	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
191	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
192	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
193	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
194	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
195	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
196	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
197	C₇×#433	C₂²	1	1	yes	characteristic
198	C₇×#433	C₂²	1	1	yes	characteristic
199	C₇×#433	C₂²	1	1	yes	characteristic
200	C₇×#433	C₂²	1	1	yes	characteristic
201	C₇×#432	C₂²	1	1	yes	characteristic
202	C₇×#431	C₂²	1	1	yes	characteristic
203	#61855	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
204	C₂²×C₇×Q₈	—	2	1	no	—
205	C₂²×C₇×Q₈	—	2	1	no	—
206	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₇	—	2	1	no	—
208	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
209	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
213	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
214	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
215	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
216	C₇×C₄⋊Q₈	—	2	1	no	—
217	C₇×C₄⋊Q₈	—	2	1	no	—
218	C₇×C₄⋊Q₈	—	2	1	no	—
219	C₇×C₄⋊Q₈	—	2	1	no	—
220	C₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
221	C₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
222	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
224	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
227	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
228	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
229	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
230	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
231	C₇×#127	C₂³	1	1	yes	characteristic
232	C₇×#126	—	2	1	no	—
233	C₇×#126	—	2	1	no	—
234	C₇×#126	—	2	1	no	—
235	C₇×#126	—	2	1	no	—
236	C₇×#126	—	2	1	no	—
237	C₇×#126	—	2	1	no	—
238	C₇×#126	—	2	1	no	—
239	C₇×#126	—	2	1	no	—
240	C₇×#126	—	2	1	no	—
241	C₇×#126	—	2	1	no	—
242	C₇×#125	—	2	1	no	—
243	C₇×#125	—	2	1	no	—
244	C₇×#125	—	2	1	no	—
245	C₇×#125	—	2	1	no	—
246	C₇×#125	—	2	1	no	—
247	C₇×#125	—	2	1	no	—
248	C₇×#125	—	2	1	no	—
249	C₇×#125	—	2	1	no	—
250	C₇×#125	D₄	1	1	yes	characteristic
251	C₇×#125	D₄	1	1	yes	characteristic
252	C₇×#125	C₂³	1	1	yes	characteristic
253	C₇×#125	C₂³	1	1	yes	characteristic
254	C₇×#125	C₂³	1	1	yes	characteristic
255	C₇×#125	C₂³	1	1	yes	characteristic
256	C₇×#125	C₂³	1	1	yes	characteristic
257	C₇×#125	C₂³	1	1	yes	characteristic
258	C₇×#125	C₂³	1	1	yes	characteristic
259	C₇×#125	C₂³	1	1	yes	characteristic
260	C₇×#125	C₂³	1	1	yes	characteristic
261	C₇×#125	C₂³	1	1	yes	characteristic
262	C₇×#124	—	2	1	no	—
263	C₇×#124	—	2	1	no	—
264	C₇×#124	—	2	1	no	—
265	C₇×#124	—	2	1	no	—
266	C₇×#124	C₂³	1	1	yes	characteristic
267	C₇×#124	C₂³	1	1	yes	characteristic
268	C₇×#124	C₂³	1	1	yes	characteristic
269	C₇×#124	C₂³	1	1	yes	characteristic
270	C₇×#123	—	2	1	no	—
271	C₇×#123	—	2	1	no	—
272	C₇×#123	—	2	1	no	—
273	C₇×#123	—	2	1	no	—
274	C₇×#123	—	2	1	no	—
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×C₂²⋊Q₈	—	2	1	no	—
281	C₇×C₂²⋊Q₈	—	2	1	no	—
282	C₇×C₂²⋊Q₈	—	2	1	no	—
283	C₇×C₂²⋊Q₈	—	2	1	no	—
284	C₇×C₂²⋊Q₈	—	2	1	no	—
285	C₇×C₂²⋊Q₈	—	2	1	no	—
286	C₇×C₂²⋊Q₈	—	2	1	no	—
287	C₇×C₂²⋊Q₈	—	2	1	no	—
288	C₇×C₂²⋊Q₈	—	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	—	2	1	no	—
297	C₇×C₂²⋊Q₈	—	2	1	no	—
298	C₇×C₂²⋊Q₈	—	2	1	no	—
299	C₇×C₂²⋊Q₈	—	2	1	no	—
300	C₇×C₂²⋊Q₈	—	2	1	no	—
301	C₇×C₂²⋊Q₈	—	2	1	no	—
302	C₇×C₂²⋊Q₈	—	2	1	no	—
303	C₇×C₂²⋊Q₈	—	2	1	no	—
304	C₇×C₂²⋊Q₈	—	2	1	no	—
305	C₇×C₂²⋊Q₈	—	2	1	no	—
306	C₇×C₂²⋊Q₈	—	2	1	no	—
307	C₇×C₂²⋊Q₈	—	2	1	no	—
308	C₇×C₂²⋊Q₈	—	2	1	no	—
309	C₇×C₂²⋊Q₈	—	2	1	no	—
310	C₇×C₂²⋊Q₈	—	2	1	no	—
311	C₇×C₂²⋊Q₈	—	2	1	no	—
312	C₇×C₂²⋊Q₈	—	2	1	no	—
313	C₇×C₂²⋊Q₈	—	2	1	no	—
314	C₇×C₂²⋊Q₈	—	2	1	no	—
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	D₄	1	1	yes	characteristic
321	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
322	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
323	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
324	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
325	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
326	C₇×#121	—	2	1	no	—
327	C₇×#121	—	2	1	no	—
328	C₇×#121	C₂³	1	1	yes	characteristic
329	C₇×#121	C₂³	1	1	yes	characteristic
330	C₄×C₇×Q₈	—	2	1	no	—
331	C₄×C₇×Q₈	—	2	1	no	—
332	C₄×C₇×Q₈	—	2	1	no	—
333	C₄×C₇×Q₈	—	2	1	no	—
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×Q₈	C₂³	1	1	yes	characteristic
340	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
341	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
342	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
343	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
355	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
356	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
357	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
358	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
359	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
360	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
361	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
362	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
363	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
364	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
365	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
366	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
367	C₄×C₇×D₄	C₂³	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	C₇×#117	—	2	1	no	—
373	C₇×#117	—	2	1	no	—
374	C₇×#117	—	2	1	no	—
375	C₇×#117	—	2	1	no	—
376	C₇×#117	C₂³	1	1	yes	characteristic
377	C₇×#117	C₂³	1	1	yes	characteristic
378	C₇×#117	C₂³	1	1	yes	characteristic
379	C₇×#117	C₂³	1	1	yes	characteristic
380	C₂×C₇×C₄⋊C₄	—	2	1	no	—
381	C₂×C₇×C₄⋊C₄	—	2	1	no	—
382	C₂×C₇×C₄⋊C₄	—	2	1	no	—
383	C₂×C₇×C₄⋊C₄	—	2	1	no	—
384	C₂×C₇×C₄⋊C₄	—	2	1	no	—
385	C₂×C₇×C₄⋊C₄	—	2	1	no	—
386	C₂×C₇×C₄⋊C₄	—	2	1	no	—
387	C₂×C₇×C₄⋊C₄	—	2	1	no	—
388	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
389	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
390	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
391	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
392	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
393	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
394	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
395	C₇×#107	C₂³	1	1	yes	characteristic
396	C₇×#107	C₂³	1	1	yes	characteristic
397	C₇×#107	C₂³	1	1	yes	characteristic
398	C₇×#107	C₂³	1	1	yes	characteristic
399	C₇×#107	C₂³	1	1	yes	characteristic
400	C₇×#107	C₂³	1	1	yes	characteristic
401	C₇×#107	C₂³	1	1	yes	characteristic
402	C₇×#107	C₂³	1	1	yes	characteristic
403	C₇×#107	C₂³	1	1	yes	characteristic
404	C₇×#107	C₂³	1	1	yes	characteristic
405	C₇×#107	C₂³	1	1	yes	characteristic
406	C₇×#107	C₂³	1	1	yes	characteristic
407	C₇×#106	C₂³	1	1	yes	characteristic
408	C₇×#106	C₂³	1	1	yes	characteristic
409	C₇×#106	C₂³	1	1	yes	characteristic
410	C₇×#106	C₂³	1	1	yes	characteristic
411	C₇×#106	C₂³	1	1	yes	characteristic
412	C₇×#106	C₂³	1	1	yes	characteristic
413	C₇×#106	C₂³	1	1	yes	characteristic
414	C₇×#106	C₂³	1	1	yes	characteristic
415	C₇×#106	C₂³	1	1	yes	characteristic
416	C₇×#106	C₂³	1	1	yes	characteristic
417	C₇×#106	C₂³	1	1	yes	characteristic
418	C₇×#106	C₂³	1	1	yes	characteristic
419	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
420	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
421	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
422	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₇×C₄⋊C₈	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×#103	C₂³	1	1	yes	characteristic
432	C₇×#103	C₂³	1	1	yes	characteristic
433	C₇×#103	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×#102	C₂³	1	1	yes	characteristic
444	C₇×#102	C₂³	1	1	yes	characteristic
445	C₇×#102	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
464	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
465	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₇×#97	C₂³	1	1	yes	characteristic
468	C₇×#97	C₂³	1	1	yes	characteristic
469	C₇×#97	C₂³	1	1	yes	characteristic
470	C₇×#97	C₂³	1	1	yes	characteristic
471	C₇×#97	C₂³	1	1	yes	characteristic
472	C₇×#97	C₂³	1	1	yes	characteristic
473	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
474	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
475	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
476	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
477	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
478	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
479	#3557	C₂×C₇	1	1	yes	characteristic, complemented
480	#3501	C₂×C₇	1	1	yes	characteristic, complemented
481	#3389	C₂×C₇	1	1	yes	characteristic, complemented
482	#3389	C₂×C₇	1	1	yes	characteristic, complemented
483	#3388	C₂×C₇	1	1	yes	characteristic, complemented
484	#3388	C₂×C₇	1	1	yes	characteristic, complemented
485	#3386	C₂×C₇	1	1	yes	characteristic, complemented
486	#3384	C₂×C₇	1	1	yes	characteristic, complemented
487	#3381	C₂×C₇	1	1	yes	characteristic, complemented
488	#3380	C₂×C₇	1	1	yes	characteristic, complemented
489	#3376	C₂×C₇	1	1	yes	characteristic, complemented
490	#3376	C₂×C₇	1	1	yes	characteristic, complemented
491	#3373	C₂×C₇	1	1	yes	characteristic, complemented
492	#3370	C₂×C₇	1	1	yes	characteristic, complemented
493	#3370	C₂×C₇	1	1	yes	characteristic, complemented
494	#3367	C₂×C₇	1	1	yes	characteristic, complemented
495	#3361	C₂×C₇	1	1	yes	characteristic, complemented
496	#3360	C₂×C₇	1	1	yes	characteristic, complemented
497	#3244	C₂×C₇	1	1	yes	characteristic, complemented
498	#3243	C₂×C₇	1	1	yes	characteristic, complemented
499	#3242	C₂×C₇	1	1	yes	characteristic, complemented
500	#3241	C₂×C₇	1	1	yes	characteristic, complemented
501	#3240	C₂×C₇	1	1	yes	characteristic, complemented
502	#3233	C₂×C₇	1	1	yes	characteristic, complemented
503	#3123	C₂×C₇	1	1	yes	characteristic, complemented
504	#3122	C₂×C₇	1	1	yes	characteristic
505	#3118	C₂×C₇	1	1	yes	characteristic, complemented
506	#3118	C₂×C₇	1	1	yes	characteristic, complemented
507	#3114	C₂×C₇	1	1	yes	characteristic, complemented
508	#3105	C₂×C₇	1	1	yes	characteristic, complemented
509	#2985	C₂×C₇	1	1	yes	characteristic, complemented
510	C₂⁴×C₇	—	2	1	no	—
511	C₂×C₇×Q₈	—	2	1	no	—
512	C₂×C₇×Q₈	—	2	1	no	—
513	C₂×C₇×Q₈	—	2	1	no	—
514	C₂×C₇×Q₈	—	2	1	no	—
515	C₂×C₇×Q₈	—	2	1	no	—
516	C₂×C₇×Q₈	—	2	1	no	—
517	C₂×C₇×Q₈	—	2	1	no	—
518	C₂×C₇×Q₈	—	2	1	no	—
519	C₂×C₇×Q₈	—	8	2	no	—
520	C₂×C₇×Q₈	—	8	2	no	—
521	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
522	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
523	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
524	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
525	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
526	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
527	C₂×C₇×D₄	—	2	2	no	—
528	C₂×C₇×D₄	—	2	2	no	—
529	C₂×C₇×D₄	—	2	1	no	—
530	C₂×C₇×D₄	—	2	1	no	—
531	C₂×C₇×D₄	—	2	1	no	—
532	C₂×C₇×D₄	—	2	1	no	—
533	C₂×C₇×D₄	—	2	1	no	—
534	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
535	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
536	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
537	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₇	—	2	1	no	—
539	C₂²×C₄×C₇	—	2	1	no	—
540	C₂²×C₄×C₇	—	2	1	no	—
541	C₂²×C₄×C₇	—	2	1	no	—
542	C₂²×C₄×C₇	—	2	1	no	—
543	C₂²×C₄×C₇	—	2	1	no	—
544	C₂²×C₄×C₇	—	2	1	no	—
545	C₂²×C₄×C₇	—	2	1	no	—
546	C₂²×C₄×C₇	—	2	1	no	—
547	C₂²×C₄×C₇	—	2	1	no	—
548	C₂²×C₄×C₇	—	2	1	no	—
549	C₂²×C₄×C₇	—	2	1	no	—
550	C₂²×C₄×C₇	—	2	1	no	—
551	C₂²×C₄×C₇	—	2	1	no	—
552	C₂²×C₄×C₇	—	2	1	no	—
553	C₂²×C₄×C₇	—	2	1	no	—
554	C₂²×C₄×C₇	—	2	1	no	—
555	C₂²×C₄×C₇	—	2	1	no	—
556	C₂²×C₄×C₇	—	2	1	no	—
557	C₂²×C₄×C₇	—	8	2	no	—
558	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
559	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
560	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
561	C₇×SD₁₆	—	2	2	no	—
562	C₇×SD₁₆	—	2	2	no	—
563	C₇×SD₁₆	—	2	2	no	—
564	C₇×SD₁₆	—	2	2	no	—
565	C₇×D₈	—	2	2	no	—
566	C₇×D₈	—	2	2	no	—
567	C₇×D₈	—	2	2	no	—
568	C₇×D₈	—	2	2	no	—
569	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
570	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
571	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
572	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
573	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
574	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
575	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
576	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
577	C₇×C₄⋊C₄	—	2	1	no	—
578	C₇×C₄⋊C₄	—	2	1	no	—
579	C₇×C₄⋊C₄	—	2	1	no	—
580	C₇×C₄⋊C₄	—	2	1	no	—
581	C₇×C₄⋊C₄	—	2	1	no	—
582	C₇×C₄⋊C₄	—	2	1	no	—
583	C₇×C₄⋊C₄	—	2	1	no	—
584	C₇×C₄⋊C₄	—	2	1	no	—
585	C₇×C₄⋊C₄	—	2	1	no	—
586	C₇×C₄⋊C₄	—	2	1	no	—
587	C₇×C₄⋊C₄	—	2	1	no	—
588	C₇×C₄⋊C₄	—	2	1	no	—
589	C₇×C₄⋊C₄	—	2	1	no	—
590	C₇×C₄⋊C₄	—	2	1	no	—
591	C₇×C₄⋊C₄	—	2	1	no	—
592	C₇×C₄⋊C₄	—	2	1	no	—
593	C₇×C₄⋊C₄	—	2	1	no	—
594	C₇×C₄⋊C₄	—	2	1	no	—
595	C₇×C₄⋊C₄	—	2	1	no	—
596	C₇×C₄⋊C₄	—	2	1	no	—
597	C₇×C₄⋊C₄	—	2	1	no	—
598	C₇×C₄⋊C₄	—	2	1	no	—
599	C₇×C₄⋊C₄	—	2	1	no	—
600	C₇×C₄⋊C₄	—	2	1	no	—
601	C₇×C₄⋊C₄	—	2	1	no	—
602	C₇×C₄⋊C₄	—	2	1	no	—
603	C₇×C₄⋊C₄	—	2	1	no	—
604	C₇×C₄⋊C₄	—	2	1	no	—
605	C₇×C₄⋊C₄	—	2	1	no	—
606	C₇×C₄⋊C₄	—	2	1	no	—
607	C₇×C₄⋊C₄	—	2	1	no	—
608	C₇×C₄⋊C₄	—	2	1	no	—
609	C₇×C₄⋊C₄	—	2	1	no	—
610	C₇×C₄⋊C₄	—	2	1	no	—
611	C₇×C₄⋊C₄	—	2	1	no	—
612	C₇×C₄⋊C₄	—	2	1	no	—
613	C₇×C₄⋊C₄	—	2	1	no	—
614	C₇×C₄⋊C₄	—	2	1	no	—
615	C₇×C₄⋊C₄	—	2	1	no	—
616	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
618	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
624	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
631	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
633	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
634	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
635	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
636	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
637	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
639	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
642	C₇×C₂²⋊C₄	—	2	1	no	—
643	C₇×C₂²⋊C₄	—	2	1	no	—
644	C₇×C₂²⋊C₄	—	2	1	no	—
645	C₇×C₂²⋊C₄	—	2	1	no	—
646	C₇×C₂²⋊C₄	—	2	1	no	—
647	C₇×C₂²⋊C₄	—	2	1	no	—
648	C₇×C₂²⋊C₄	—	2	1	no	—
649	C₇×C₂²⋊C₄	—	2	1	no	—
650	C₇×C₂²⋊C₄	—	2	1	no	—
651	C₇×C₂²⋊C₄	—	2	1	no	—
652	C₇×C₂²⋊C₄	—	2	1	no	—
653	C₇×C₂²⋊C₄	—	2	1	no	—
654	C₇×C₂²⋊C₄	—	2	1	no	—
655	C₇×C₂²⋊C₄	—	2	1	no	—
656	C₇×C₂²⋊C₄	—	2	1	no	—
657	C₇×C₂²⋊C₄	—	2	1	no	—
658	C₇×C₂²⋊C₄	—	2	1	no	—
659	C₇×C₂²⋊C₄	—	2	1	no	—
660	C₇×C₂²⋊C₄	—	2	1	no	—
661	C₇×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
675	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
677	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
678	C₄²×C₇	—	2	1	no	—
679	C₄²×C₇	—	2	1	no	—
680	C₄²×C₇	—	2	1	no	—
681	C₄²×C₇	—	2	1	no	—
682	C₄²×C₇	—	2	1	no	—
683	C₄²×C₇	—	2	1	no	—
684	C₄²×C₇	—	2	1	no	—
685	C₄²×C₇	—	2	1	no	—
686	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
687	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
688	C₄²×C₇	C₂⁴	1	1	yes	characteristic
689	C₄²×C₇	C₂⁴	1	1	yes	characteristic
690	C₄²×C₇	C₂⁴	1	1	yes	characteristic
691	C₄²×C₇	C₂⁴	1	1	yes	characteristic
692	C₄²×C₇	C₂⁴	1	1	yes	characteristic
693	C₄²×C₇	C₂⁴	1	1	yes	characteristic
694	#563	—	2	1	no	—
695	#563	—	2	1	no	—
696	#559	C₂²×C₇	1	1	yes	characteristic, complemented
697	#559	C₂²×C₇	1	1	yes	characteristic, complemented
698	#557	C₂²×C₇	1	1	yes	characteristic, complemented
699	#557	C₂²×C₇	1	1	yes	characteristic, complemented
700	#556	C₂²×C₇	1	1	yes	characteristic, complemented
701	#556	C₂²×C₇	1	1	yes	characteristic, complemented
702	#554	—	2	1	no	—
703	#554	—	2	1	no	—
704	#554	—	2	1	no	—
705	#554	C₂²×C₇	1	1	yes	characteristic
706	#554	C₂²×C₇	1	1	yes	characteristic
707	#554	C₂²×C₇	1	1	yes	characteristic
708	#554	C₂²×C₇	1	1	yes	characteristic
709	#554	C₂²×C₇	1	1	yes	characteristic
710	#554	C₂²×C₇	1	1	yes	characteristic
711	#554	C₂²×C₇	1	1	yes	characteristic, complemented
712	#554	C₂²×C₇	1	1	yes	characteristic, complemented
713	#552	—	2	1	no	—
714	#552	—	2	1	no	—
715	D₄×Q₈	—	2	1	no	—
716	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic
717	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic
718	#544	C₂²×C₇	1	1	yes	characteristic
719	#544	C₂²×C₇	1	1	yes	characteristic
720	#543	—	2	1	no	—
721	#543	—	2	1	no	—
722	#542	—	2	1	no	—
723	#542	—	2	1	no	—
724	#542	C₂²×C₇	1	1	yes	characteristic
725	#542	C₂²×C₇	1	1	yes	characteristic
726	#541	C₂²×C₇	1	1	yes	characteristic
727	#540	C₂²×C₇	1	1	yes	characteristic
728	#539	—	2	1	no	—
729	#539	—	2	1	no	—
730	#533	C₂²×C₇	1	1	yes	characteristic
731	#533	C₂²×C₇	1	1	yes	characteristic
732	#529	C₂²×C₇	1	1	yes	characteristic
733	#529	C₂²×C₇	1	1	yes	characteristic
734	C₂×C₂²⋊Q₈	—	2	1	no	—
735	C₂×C₂²⋊Q₈	—	2	1	no	—
736	#518	C₂²×C₇	1	1	yes	characteristic
737	#518	C₂²×C₇	1	1	yes	characteristic
738	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
739	#501	C₂²×C₇	1	1	yes	characteristic, complemented
740	#501	C₂²×C₇	1	1	yes	characteristic, complemented
741	#501	C₂²×C₇	1	1	yes	characteristic, complemented
742	#501	C₂²×C₇	1	1	yes	characteristic, complemented
743	#501	C₂²×C₇	1	1	yes	characteristic, complemented
744	#501	C₂²×C₇	1	1	yes	characteristic, complemented
745	#500	C₂²×C₇	1	1	yes	characteristic, complemented
746	#499	C₂²×C₇	1	1	yes	characteristic, complemented
747	#499	C₂²×C₇	1	1	yes	characteristic, complemented
748	#499	C₂²×C₇	1	1	yes	characteristic, complemented
749	#499	C₂²×C₇	1	1	yes	characteristic, complemented
750	#498	C₂²×C₇	1	1	yes	characteristic, complemented
751	#491	C₂²×C₇	1	1	yes	characteristic, complemented
752	#490	C₂²×C₇	1	1	yes	characteristic, complemented
753	#489	C₂²×C₇	1	1	yes	characteristic, complemented
754	#489	C₂²×C₇	1	1	yes	characteristic, complemented
755	#489	C₂²×C₇	1	1	yes	characteristic, complemented
756	#489	C₂²×C₇	1	1	yes	characteristic, complemented
757	#488	C₂²×C₇	1	1	yes	characteristic, complemented
758	#488	C₂²×C₇	1	1	yes	characteristic, complemented
759	#488	C₂²×C₇	1	1	yes	characteristic, complemented
760	#488	C₂²×C₇	1	1	yes	characteristic, complemented
761	#487	C₂²×C₇	1	1	yes	characteristic, complemented
762	#486	C₂²×C₇	1	1	yes	characteristic, complemented
763	#485	C₂²×C₇	1	1	yes	characteristic
764	#485	C₂²×C₇	1	1	yes	characteristic
765	#485	C₂²×C₇	1	1	yes	characteristic
766	#485	C₂²×C₇	1	1	yes	characteristic
767	#484	C₂²×C₇	1	1	yes	characteristic
768	#483	C₂²×C₇	1	1	yes	characteristic
769	#482	C₂²×C₇	1	1	yes	characteristic
770	#482	C₂²×C₇	1	1	yes	characteristic
771	#482	C₂²×C₇	1	1	yes	characteristic
772	#482	C₂²×C₇	1	1	yes	characteristic
773	#481	C₂²×C₇	1	1	yes	characteristic
774	#480	C₂²×C₇	1	1	yes	characteristic
775	#479	C₂²×C₇	1	1	yes	characteristic, complemented
776	#479	C₂²×C₇	1	1	yes	characteristic, complemented
777	#479	C₂²×C₇	1	1	yes	characteristic, complemented
778	#479	C₂²×C₇	1	1	yes	characteristic, complemented
779	#479	C₂²×C₇	1	1	yes	characteristic, complemented
780	#479	C₂²×C₇	1	1	yes	characteristic, complemented
781	#478	C₂²×C₇	1	1	yes	characteristic
782	#478	C₂²×C₇	1	1	yes	characteristic
783	#478	C₂²×C₇	1	1	yes	characteristic
784	#478	C₂²×C₇	1	1	yes	characteristic
785	#478	C₂²×C₇	1	1	yes	characteristic
786	#478	C₂²×C₇	1	1	yes	characteristic
787	#478	C₂²×C₇	1	1	yes	characteristic
788	#478	C₂²×C₇	1	1	yes	characteristic
789	#478	C₂²×C₇	1	1	yes	characteristic, complemented
790	#478	C₂²×C₇	1	1	yes	characteristic, complemented
791	#478	C₂²×C₇	1	1	yes	characteristic, complemented
792	#478	C₂²×C₇	1	1	yes	characteristic, complemented
793	#478	C₂²×C₇	1	1	yes	characteristic, complemented
794	#478	C₂²×C₇	1	1	yes	characteristic, complemented
795	#477	C₂²×C₇	1	1	yes	characteristic, complemented
796	#477	C₂²×C₇	1	1	yes	characteristic, complemented
797	#477	C₂²×C₇	1	1	yes	characteristic, complemented
798	#476	C₂²×C₇	1	1	yes	characteristic
799	#476	C₂²×C₇	1	1	yes	characteristic
800	#476	C₂²×C₇	1	1	yes	characteristic, complemented
801	#476	C₂²×C₇	1	1	yes	characteristic, complemented
802	#476	C₂²×C₇	1	1	yes	characteristic, complemented
803	#475	C₂²×C₇	1	1	yes	characteristic, complemented
804	#475	C₂²×C₇	1	1	yes	characteristic, complemented
805	#475	C₂²×C₇	1	1	yes	characteristic, complemented
806	#474	C₂²×C₇	1	1	yes	characteristic
807	#474	C₂²×C₇	1	1	yes	characteristic
808	#474	C₂²×C₇	1	1	yes	characteristic, complemented
809	#474	C₂²×C₇	1	1	yes	characteristic, complemented
810	#474	C₂²×C₇	1	1	yes	characteristic, complemented
811	#463	C₂²×C₇	1	1	yes	characteristic
812	#463	C₂²×C₇	1	1	yes	characteristic
813	#463	C₂²×C₇	1	1	yes	characteristic
814	#463	C₂²×C₇	1	1	yes	characteristic
815	#463	C₂²×C₇	1	1	yes	characteristic
816	#463	C₂²×C₇	1	1	yes	characteristic
817	#463	C₂²×C₇	1	1	yes	characteristic
818	#463	C₂²×C₇	1	1	yes	characteristic
819	#461	C₂²×C₇	1	1	yes	characteristic
820	#461	C₂²×C₇	1	1	yes	characteristic
821	#459	C₂²×C₇	1	1	yes	characteristic
822	#459	C₂²×C₇	1	1	yes	characteristic
823	#450	C₂²×C₇	1	1	yes	characteristic
824	#450	C₂²×C₇	1	1	yes	characteristic
825	#447	C₂²×C₇	1	1	yes	characteristic
826	#447	C₂²×C₇	1	1	yes	characteristic
827	#446	C₂²×C₇	1	1	yes	characteristic, complemented
828	#446	C₂²×C₇	1	1	yes	characteristic, complemented
829	#446	C₂²×C₇	1	1	yes	characteristic, complemented
830	#446	C₂²×C₇	1	1	yes	characteristic, complemented
831	#446	C₂²×C₇	1	1	yes	characteristic, complemented
832	#446	C₂²×C₇	1	1	yes	characteristic, complemented
833	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
834	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
835	#442	C₂²×C₇	1	1	yes	characteristic
836	#442	C₂²×C₇	1	1	yes	characteristic
837	#442	C₂²×C₇	1	1	yes	characteristic
838	#442	C₂²×C₇	1	1	yes	characteristic
839	#442	C₂²×C₇	1	1	yes	characteristic
840	#442	C₂²×C₇	1	1	yes	characteristic
841	#440	C₂²×C₇	1	1	yes	characteristic
842	#440	C₂²×C₇	1	1	yes	characteristic
843	#440	C₂²×C₇	1	1	yes	characteristic
844	#440	C₂²×C₇	1	1	yes	characteristic
845	#440	C₂²×C₇	1	1	yes	characteristic
846	#440	C₂²×C₇	1	1	yes	characteristic
847	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
848	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
849	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
850	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
851	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
852	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
853	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
854	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
855	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
856	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
857	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
858	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
859	#433	C₂²×C₇	1	1	yes	characteristic
860	#433	C₂²×C₇	1	1	yes	characteristic
861	#433	C₂²×C₇	1	1	yes	characteristic
862	#433	C₂²×C₇	1	1	yes	characteristic
863	#432	C₂²×C₇	1	1	yes	characteristic
864	#431	C₂²×C₇	1	1	yes	characteristic
865	C₂³×C₇	—	2	4	no	—
866	C₂³×C₇	—	2	1	no	—
867	C₂³×C₇	—	2	1	no	—
868	C₂³×C₇	—	2	1	no	—
869	C₂³×C₇	—	2	1	no	—
870	C₂³×C₇	—	8	1	no	—
871	C₂³×C₇	—	8	1	no	—
872	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
873	C₇×Q₈	—	2	1	no	—
874	C₇×Q₈	—	2	1	no	—
875	C₇×Q₈	—	2	1	no	—
876	C₇×Q₈	—	2	1	no	—
877	C₇×Q₈	—	4	1	no	—
878	C₇×Q₈	—	4	1	no	—
879	C₇×Q₈	—	4	1	no	—
880	C₇×Q₈	—	4	1	no	—
881	C₇×Q₈	—	4	2	no	—
882	C₇×Q₈	—	8	1	no	—
883	C₇×Q₈	—	8	1	no	—
884	C₇×Q₈	—	8	1	no	—
885	C₇×Q₈	—	8	1	no	—
886	C₇×Q₈	—	8	1	no	—
887	C₇×Q₈	—	8	1	no	—
888	C₇×Q₈	—	8	1	no	—
889	C₇×D₄	—	2	4	no	—
890	C₇×D₄	—	2	1	no	—
891	C₇×D₄	—	2	1	no	—
892	C₇×D₄	—	2	1	no	—
893	C₇×D₄	—	2	1	no	—
894	C₇×D₄	—	2	1	no	—
895	C₇×D₄	—	2	1	no	—
896	C₇×D₄	—	8	1	no	—
897	C₇×D₄	—	8	1	no	—
898	C₇×D₄	—	8	1	no	—
899	C₇×D₄	—	8	1	no	—
900	C₇×D₄	2₋¹⁺⁴	1	2	yes	—
901	C₇×D₄	2₋¹⁺⁴	1	2	yes	—
902	C₂×C₄×C₇	—	2	1	no	—
903	C₂×C₄×C₇	—	2	1	no	—
904	C₂×C₄×C₇	—	2	1	no	—
905	C₂×C₄×C₇	—	2	1	no	—
906	C₂×C₄×C₇	—	2	1	no	—
907	C₂×C₄×C₇	—	2	1	no	—
908	C₂×C₄×C₇	—	2	1	no	—
909	C₂×C₄×C₇	—	2	1	no	—
910	C₂×C₄×C₇	—	2	1	no	—
911	C₂×C₄×C₇	—	2	1	no	—
912	C₂×C₄×C₇	—	2	1	no	—
913	C₂×C₄×C₇	—	2	1	no	—
914	C₂×C₄×C₇	—	2	1	no	—
915	C₂×C₄×C₇	—	2	1	no	—
916	C₂×C₄×C₇	—	4	1	no	—
917	C₂×C₄×C₇	—	4	1	no	—
918	C₂×C₄×C₇	—	4	2	no	—
919	C₂×C₄×C₇	—	4	2	no	—
920	C₂×C₄×C₇	—	8	1	no	—
921	C₂×C₄×C₇	—	8	1	no	—
922	C₂×C₄×C₇	—	8	1	no	—
923	C₂×C₄×C₇	—	8	1	no	—
924	C₂×C₄×C₇	—	8	1	no	—
925	C₂×C₄×C₇	—	8	1	no	—
926	C₂×C₄×C₇	—	8	1	no	—
927	C₂×C₄×C₇	—	8	1	no	—
928	C₂×C₄×C₇	—	8	1	no	—
929	C₂×C₄×C₇	—	8	1	no	—
930	C₂×C₄×C₇	—	8	1	no	—
931	C₂×C₄×C₇	—	8	1	no	—
932	C₂×C₄×C₇	—	8	1	no	—
933	C₂×C₄×C₇	—	8	1	no	—
934	C₂×C₄×C₇	—	8	1	no	—
935	C₂×C₄×C₇	—	8	1	no	—
936	C₂×C₄×C₇	—	8	1	no	—
937	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
938	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
939	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
940	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
941	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
942	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
943	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
944	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
945	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
946	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
947	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
948	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
949	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
950	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
951	C₇×C₈	—	2	1	no	—
952	C₇×C₈	—	2	1	no	—
953	C₇×C₈	—	2	1	no	—
954	C₇×C₈	—	2	1	no	—
955	C₇×C₈	—	2	1	no	—
956	C₇×C₈	—	2	1	no	—
957	C₇×C₈	—	2	1	no	—
958	C₇×C₈	—	2	1	no	—
959	C₂²×Q₈	—	2	1	no	—
960	C₂²×Q₈	—	2	1	no	—
961	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
962	C₂³×C₄	—	2	1	no	—
963	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
964	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
965	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
966	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
967	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
968	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
969	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
970	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
971	C₄⋊Q₈	—	2	1	no	—
972	C₄⋊Q₈	—	2	1	no	—
973	C₄⋊Q₈	—	2	1	no	—
974	C₄⋊Q₈	—	2	1	no	—
975	C₄⋊Q₈	C₇×D₄	1	1	yes	characteristic
976	C₄⋊Q₈	C₇×D₄	1	1	yes	characteristic
977	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
978	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
979	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
980	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
981	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
982	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
983	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
984	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
985	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
986	#127	C₂³×C₇	1	1	yes	characteristic
987	#126	—	2	1	no	—
988	#126	—	2	1	no	—
989	#126	—	2	1	no	—
990	#126	—	2	1	no	—
991	#126	—	2	1	no	—
992	#126	—	2	1	no	—
993	#126	—	2	1	no	—
994	#126	—	2	1	no	—
995	#126	—	2	1	no	—
996	#126	—	2	1	no	—
997	#125	—	2	1	no	—
998	#125	—	2	1	no	—
999	#125	—	2	1	no	—
1000	#125	—	2	1	no	—
1001	#125	—	2	1	no	—
1002	#125	—	2	1	no	—
1003	#125	—	2	1	no	—
1004	#125	—	2	1	no	—
1005	#125	C₇×D₄	1	1	yes	characteristic
1006	#125	C₇×D₄	1	1	yes	characteristic
1007	#125	C₂³×C₇	1	1	yes	characteristic
1008	#125	C₂³×C₇	1	1	yes	characteristic
1009	#125	C₂³×C₇	1	1	yes	characteristic
1010	#125	C₂³×C₇	1	1	yes	characteristic
1011	#125	C₂³×C₇	1	1	yes	characteristic
1012	#125	C₂³×C₇	1	1	yes	characteristic
1013	#125	C₂³×C₇	1	1	yes	characteristic
1014	#125	C₂³×C₇	1	1	yes	characteristic
1015	#125	C₂³×C₇	1	1	yes	characteristic
1016	#125	C₂³×C₇	1	1	yes	characteristic
1017	#124	—	2	1	no	—
1018	#124	—	2	1	no	—
1019	#124	—	2	1	no	—
1020	#124	—	2	1	no	—
1021	#124	C₂³×C₇	1	1	yes	characteristic
1022	#124	C₂³×C₇	1	1	yes	characteristic
1023	#124	C₂³×C₇	1	1	yes	characteristic
1024	#124	C₂³×C₇	1	1	yes	characteristic
1025	#123	—	2	1	no	—
1026	#123	—	2	1	no	—
1027	#123	—	2	1	no	—
1028	#123	—	2	1	no	—
1029	#123	—	2	1	no	—
1030	#123	—	2	1	no	—
1031	#123	—	2	1	no	—
1032	#123	—	2	1	no	—
1033	#123	—	2	1	no	—
1034	#123	—	2	1	no	—
1035	C₂²⋊Q₈	—	2	1	no	—
1036	C₂²⋊Q₈	—	2	1	no	—
1037	C₂²⋊Q₈	—	2	1	no	—
1038	C₂²⋊Q₈	—	2	1	no	—
1039	C₂²⋊Q₈	—	2	1	no	—
1040	C₂²⋊Q₈	—	2	1	no	—
1041	C₂²⋊Q₈	—	2	1	no	—
1042	C₂²⋊Q₈	—	2	1	no	—
1043	C₂²⋊Q₈	—	2	1	no	—
1044	C₂²⋊Q₈	—	2	1	no	—
1045	C₂²⋊Q₈	—	2	1	no	—
1046	C₂²⋊Q₈	—	2	1	no	—
1047	C₂²⋊Q₈	—	2	1	no	—
1048	C₂²⋊Q₈	—	2	1	no	—
1049	C₂²⋊Q₈	—	2	1	no	—
1050	C₂²⋊Q₈	—	2	1	no	—
1051	C₂²⋊Q₈	—	2	1	no	—
1052	C₂²⋊Q₈	—	2	1	no	—
1053	C₂²⋊Q₈	—	2	1	no	—
1054	C₂²⋊Q₈	—	2	1	no	—
1055	C₂²⋊Q₈	—	2	1	no	—
1056	C₂²⋊Q₈	—	2	1	no	—
1057	C₂²⋊Q₈	—	2	1	no	—
1058	C₂²⋊Q₈	—	2	1	no	—
1059	C₂²⋊Q₈	—	2	1	no	—
1060	C₂²⋊Q₈	—	2	1	no	—
1061	C₂²⋊Q₈	—	2	1	no	—
1062	C₂²⋊Q₈	—	2	1	no	—
1063	C₂²⋊Q₈	—	2	1	no	—
1064	C₂²⋊Q₈	—	2	1	no	—
1065	C₂²⋊Q₈	—	2	1	no	—
1066	C₂²⋊Q₈	—	2	1	no	—
1067	C₂²⋊Q₈	—	2	1	no	—
1068	C₂²⋊Q₈	—	2	1	no	—
1069	C₂²⋊Q₈	—	2	1	no	—
1070	C₂²⋊Q₈	—	2	1	no	—
1071	C₂²⋊Q₈	—	2	1	no	—
1072	C₂²⋊Q₈	—	2	1	no	—
1073	C₂²⋊Q₈	—	2	1	no	—
1074	C₂²⋊Q₈	—	2	1	no	—
1075	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
1076	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
1077	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
1078	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
1079	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1080	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1081	#121	—	2	1	no	—
1082	#121	—	2	1	no	—
1083	#121	C₂³×C₇	1	1	yes	characteristic
1084	#121	C₂³×C₇	1	1	yes	characteristic
1085	C₄×Q₈	—	2	1	no	—
1086	C₄×Q₈	—	2	1	no	—
1087	C₄×Q₈	—	2	1	no	—
1088	C₄×Q₈	—	2	1	no	—
1089	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1090	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1091	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1092	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1093	C₄×Q₈	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	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1097	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1098	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1099	C₄×D₄	—	2	1	no	—
1100	C₄×D₄	—	2	1	no	—
1101	C₄×D₄	—	2	1	no	—
1102	C₄×D₄	—	2	1	no	—
1103	C₄×D₄	—	2	1	no	—
1104	C₄×D₄	—	2	1	no	—
1105	C₄×D₄	—	2	1	no	—
1106	C₄×D₄	—	2	1	no	—
1107	C₄×D₄	—	2	1	no	—
1108	C₄×D₄	—	2	1	no	—
1109	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1110	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1111	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1112	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1113	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1114	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1115	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1116	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1117	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1118	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1119	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1120	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1121	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1122	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1123	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1124	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1125	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1126	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1127	#117	—	2	1	no	—
1128	#117	—	2	1	no	—
1129	#117	—	2	1	no	—
1130	#117	—	2	1	no	—
1131	#117	C₂³×C₇	1	1	yes	characteristic
1132	#117	C₂³×C₇	1	1	yes	characteristic
1133	#117	C₂³×C₇	1	1	yes	characteristic
1134	#117	C₂³×C₇	1	1	yes	characteristic
1135	C₂×C₄⋊C₄	—	2	1	no	—
1136	C₂×C₄⋊C₄	—	2	1	no	—
1137	C₂×C₄⋊C₄	—	2	1	no	—
1138	C₂×C₄⋊C₄	—	2	1	no	—
1139	C₂×C₄⋊C₄	—	2	1	no	—
1140	C₂×C₄⋊C₄	—	2	1	no	—
1141	C₂×C₄⋊C₄	—	2	1	no	—
1142	C₂×C₄⋊C₄	—	2	1	no	—
1143	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1144	C₂×C₂²⋊C₄	—	2	1	no	—
1145	C₂×C₂²⋊C₄	—	2	1	no	—
1146	C₂×C₂²⋊C₄	—	2	1	no	—
1147	C₂×C₂²⋊C₄	—	2	1	no	—
1148	C₂×C₂²⋊C₄	—	2	1	no	—
1149	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1150	#107	C₂³×C₇	1	1	yes	characteristic
1151	#107	C₂³×C₇	1	1	yes	characteristic
1152	#107	C₂³×C₇	1	1	yes	characteristic
1153	#107	C₂³×C₇	1	1	yes	characteristic
1154	#107	C₂³×C₇	1	1	yes	characteristic
1155	#107	C₂³×C₇	1	1	yes	characteristic
1156	#107	C₂³×C₇	1	1	yes	characteristic
1157	#107	C₂³×C₇	1	1	yes	characteristic
1158	#107	C₂³×C₇	1	1	yes	characteristic
1159	#107	C₂³×C₇	1	1	yes	characteristic
1160	#107	C₂³×C₇	1	1	yes	characteristic
1161	#107	C₂³×C₇	1	1	yes	characteristic
1162	#106	C₂³×C₇	1	1	yes	characteristic
1163	#106	C₂³×C₇	1	1	yes	characteristic
1164	#106	C₂³×C₇	1	1	yes	characteristic
1165	#106	C₂³×C₇	1	1	yes	characteristic
1166	#106	C₂³×C₇	1	1	yes	characteristic
1167	#106	C₂³×C₇	1	1	yes	characteristic
1168	#106	C₂³×C₇	1	1	yes	characteristic
1169	#106	C₂³×C₇	1	1	yes	characteristic
1170	#106	C₂³×C₇	1	1	yes	characteristic
1171	#106	C₂³×C₇	1	1	yes	characteristic
1172	#106	C₂³×C₇	1	1	yes	characteristic
1173	#106	C₂³×C₇	1	1	yes	characteristic
1174	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1175	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1176	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1177	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1178	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1179	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1180	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1181	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1182	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1183	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1184	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1185	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1186	#103	C₂³×C₇	1	1	yes	characteristic
1187	#103	C₂³×C₇	1	1	yes	characteristic
1188	#103	C₂³×C₇	1	1	yes	characteristic
1189	#103	C₂³×C₇	1	1	yes	characteristic
1190	#103	C₂³×C₇	1	1	yes	characteristic
1191	#103	C₂³×C₇	1	1	yes	characteristic
1192	#103	C₂³×C₇	1	1	yes	characteristic
1193	#103	C₂³×C₇	1	1	yes	characteristic
1194	#103	C₂³×C₇	1	1	yes	characteristic
1195	#103	C₂³×C₇	1	1	yes	characteristic
1196	#103	C₂³×C₇	1	1	yes	characteristic
1197	#103	C₂³×C₇	1	1	yes	characteristic
1198	#102	C₂³×C₇	1	1	yes	characteristic
1199	#102	C₂³×C₇	1	1	yes	characteristic
1200	#102	C₂³×C₇	1	1	yes	characteristic
1201	#102	C₂³×C₇	1	1	yes	characteristic
1202	#102	C₂³×C₇	1	1	yes	characteristic
1203	#102	C₂³×C₇	1	1	yes	characteristic
1204	#102	C₂³×C₇	1	1	yes	characteristic
1205	#102	C₂³×C₇	1	1	yes	characteristic
1206	#102	C₂³×C₇	1	1	yes	characteristic
1207	#102	C₂³×C₇	1	1	yes	characteristic
1208	#102	C₂³×C₇	1	1	yes	characteristic
1209	#102	C₂³×C₇	1	1	yes	characteristic
1210	#102	C₂³×C₇	1	1	yes	characteristic
1211	#102	C₂³×C₇	1	1	yes	characteristic
1212	#102	C₂³×C₇	1	1	yes	characteristic
1213	#102	C₂³×C₇	1	1	yes	characteristic
1214	#102	C₂³×C₇	1	1	yes	characteristic
1215	#102	C₂³×C₇	1	1	yes	characteristic
1216	#102	C₂³×C₇	1	1	yes	characteristic
1217	#102	C₂³×C₇	1	1	yes	characteristic
1218	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1219	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1220	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1221	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1222	#97	C₂³×C₇	1	1	yes	characteristic
1223	#97	C₂³×C₇	1	1	yes	characteristic
1224	#97	C₂³×C₇	1	1	yes	characteristic
1225	#97	C₂³×C₇	1	1	yes	characteristic
1226	#97	C₂³×C₇	1	1	yes	characteristic
1227	#97	C₂³×C₇	1	1	yes	characteristic
1228	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1229	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1230	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1231	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1232	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1233	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1234	C₂²×C₇	—	2	1	no	—
1235	C₂²×C₇	—	2	1	no	—
1236	C₂²×C₇	—	2	1	no	—
1237	C₂²×C₇	—	2	2	no	—
1238	C₂²×C₇	—	2	2	no	—
1239	C₂²×C₇	—	4	1	no	—
1240	C₂²×C₇	—	4	1	no	—
1241	C₂²×C₇	—	4	1	no	—
1242	C₂²×C₇	—	4	1	no	—
1243	C₂²×C₇	—	4	1	no	—
1244	C₂²×C₇	—	4	1	no	—
1245	C₂²×C₇	—	4	1	no	—
1246	C₂²×C₇	—	4	1	no	—
1247	C₂²×C₇	—	4	1	no	—
1248	C₂²×C₇	—	4	1	no	—
1249	C₂²×C₇	—	8	4	no	—
1250	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1251	C₄×C₇	—	2	1	no	—
1252	C₄×C₇	—	2	1	no	—
1253	C₄×C₇	—	2	1	no	—
1254	C₄×C₇	—	2	1	no	—
1255	C₄×C₇	—	2	1	no	—
1256	C₄×C₇	—	2	1	no	—
1257	C₄×C₇	—	2	1	no	—
1258	C₄×C₇	—	2	1	no	—
1259	C₄×C₇	—	2	1	no	—
1260	C₄×C₇	—	2	1	no	—
1261	C₄×C₇	—	2	1	no	—
1262	C₄×C₇	—	2	1	no	—
1263	C₄×C₇	—	2	1	no	—
1264	C₄×C₇	—	4	1	no	—
1265	C₄×C₇	—	4	1	no	—
1266	C₄×C₇	—	4	1	no	—
1267	C₄×C₇	—	4	1	no	—
1268	C₄×C₇	—	4	1	no	—
1269	C₄×C₇	—	4	1	no	—
1270	C₄×C₇	—	4	1	no	—
1271	C₄×C₇	—	4	1	no	—
1272	C₄×C₇	—	4	1	no	—
1273	C₄×C₇	—	4	1	no	—
1274	C₄×C₇	—	4	1	no	—
1275	C₄×C₇	—	4	1	no	—
1276	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1277	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1278	C₂⁴	—	2	1	no	—
1279	C₂×Q₈	—	2	1	no	—
1280	C₂×Q₈	—	2	1	no	—
1281	C₂×Q₈	—	2	1	no	—
1282	C₂×Q₈	—	2	1	no	—
1283	C₂×Q₈	—	2	1	no	—
1284	C₂×Q₈	—	2	1	no	—
1285	C₂×Q₈	—	2	1	no	—
1286	C₂×Q₈	—	2	1	no	—
1287	C₂×Q₈	—	8	2	no	—
1288	C₂×Q₈	—	8	2	no	—
1289	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1290	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1291	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1292	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1293	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1294	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1295	C₂×D₄	—	2	2	no	—
1296	C₂×D₄	—	2	2	no	—
1297	C₂×D₄	—	2	1	no	—
1298	C₂×D₄	—	2	1	no	—
1299	C₂×D₄	—	2	1	no	—
1300	C₂×D₄	—	2	1	no	—
1301	C₂×D₄	—	2	1	no	—
1302	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1303	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1304	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1305	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1306	C₂²×C₄	—	2	1	no	—
1307	C₂²×C₄	—	2	1	no	—
1308	C₂²×C₄	—	2	1	no	—
1309	C₂²×C₄	—	2	1	no	—
1310	C₂²×C₄	—	2	1	no	—
1311	C₂²×C₄	—	2	1	no	—
1312	C₂²×C₄	—	2	1	no	—
1313	C₂²×C₄	—	2	1	no	—
1314	C₂²×C₄	—	2	1	no	—
1315	C₂²×C₄	—	2	1	no	—
1316	C₂²×C₄	—	2	1	no	—
1317	C₂²×C₄	—	2	1	no	—
1318	C₂²×C₄	—	2	1	no	—
1319	C₂²×C₄	—	2	1	no	—
1320	C₂²×C₄	—	2	1	no	—
1321	C₂²×C₄	—	2	1	no	—
1322	C₂²×C₄	—	2	1	no	—
1323	C₂²×C₄	—	2	1	no	—
1324	C₂²×C₄	—	2	1	no	—
1325	C₂²×C₄	—	8	2	no	—
1326	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1327	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1328	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1329	SD₁₆	—	2	2	no	—
1330	SD₁₆	—	2	2	no	—
1331	SD₁₆	—	2	2	no	—
1332	SD₁₆	—	2	2	no	—
1333	D₈	—	2	2	no	—
1334	D₈	—	2	2	no	—
1335	D₈	—	2	2	no	—
1336	D₈	—	2	2	no	—
1337	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1338	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1339	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1340	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1341	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1342	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1343	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1344	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1345	C₄⋊C₄	—	2	1	no	—
1346	C₄⋊C₄	—	2	1	no	—
1347	C₄⋊C₄	—	2	1	no	—
1348	C₄⋊C₄	—	2	1	no	—
1349	C₄⋊C₄	—	2	1	no	—
1350	C₄⋊C₄	—	2	1	no	—
1351	C₄⋊C₄	—	2	1	no	—
1352	C₄⋊C₄	—	2	1	no	—
1353	C₄⋊C₄	—	2	1	no	—
1354	C₄⋊C₄	—	2	1	no	—
1355	C₄⋊C₄	—	2	1	no	—
1356	C₄⋊C₄	—	2	1	no	—
1357	C₄⋊C₄	—	2	1	no	—
1358	C₄⋊C₄	—	2	1	no	—
1359	C₄⋊C₄	—	2	1	no	—
1360	C₄⋊C₄	—	2	1	no	—
1361	C₄⋊C₄	—	2	1	no	—
1362	C₄⋊C₄	—	2	1	no	—
1363	C₄⋊C₄	—	2	1	no	—
1364	C₄⋊C₄	—	2	1	no	—
1365	C₄⋊C₄	—	2	1	no	—
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1385	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1386	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1387	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1388	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1389	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1390	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1391	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1392	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1393	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1394	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1395	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1396	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1397	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1398	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1399	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1400	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1401	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1402	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1403	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1404	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1405	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1406	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1407	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1408	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1409	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1410	C₂²⋊C₄	—	2	1	no	—
1411	C₂²⋊C₄	—	2	1	no	—
1412	C₂²⋊C₄	—	2	1	no	—
1413	C₂²⋊C₄	—	2	1	no	—
1414	C₂²⋊C₄	—	2	1	no	—
1415	C₂²⋊C₄	—	2	1	no	—
1416	C₂²⋊C₄	—	2	1	no	—
1417	C₂²⋊C₄	—	2	1	no	—
1418	C₂²⋊C₄	—	2	1	no	—
1419	C₂²⋊C₄	—	2	1	no	—
1420	C₂²⋊C₄	—	2	1	no	—
1421	C₂²⋊C₄	—	2	1	no	—
1422	C₂²⋊C₄	—	2	1	no	—
1423	C₂²⋊C₄	—	2	1	no	—
1424	C₂²⋊C₄	—	2	1	no	—
1425	C₂²⋊C₄	—	2	1	no	—
1426	C₂²⋊C₄	—	2	1	no	—
1427	C₂²⋊C₄	—	2	1	no	—
1428	C₂²⋊C₄	—	2	1	no	—
1429	C₂²⋊C₄	—	2	1	no	—
1430	C₂²⋊C₄	—	2	1	no	—
1431	C₂²⋊C₄	—	2	1	no	—
1432	C₂²⋊C₄	—	2	1	no	—
1433	C₂²⋊C₄	—	2	1	no	—
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1443	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1444	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1445	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1446	C₄²	—	2	1	no	—
1447	C₄²	—	2	1	no	—
1448	C₄²	—	2	1	no	—
1449	C₄²	—	2	1	no	—
1450	C₄²	—	2	1	no	—
1451	C₄²	—	2	1	no	—
1452	C₄²	—	2	1	no	—
1453	C₄²	—	2	1	no	—
1454	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1455	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1456	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1457	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1458	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1459	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1460	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1461	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1462	C₂×C₇	—	4	1	no	—
1463	C₂×C₇	—	4	2	no	—
1464	C₂×C₇	—	4	2	no	—
1465	C₂×C₇	—	8	1	no	—
1466	C₂×C₇	—	8	1	no	—
1467	C₂×C₇	#3486	1	1	yes	characteristic
1468	C₂×C₇	#3584	1	1	yes	characteristic
1469	C₂×C₇	#3585	1	1	yes	characteristic
1470	C₂³	—	2	4	no	—
1471	C₂³	—	2	1	no	—
1472	C₂³	—	2	1	no	—
1473	C₂³	—	2	1	no	—
1474	C₂³	—	2	1	no	—
1475	C₂³	—	8	1	no	—
1476	C₂³	—	8	1	no	—
1477	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1478	Q₈	—	2	1	no	—
1479	Q₈	—	2	1	no	—
1480	Q₈	—	2	1	no	—
1481	Q₈	—	2	1	no	—
1482	Q₈	—	4	1	no	—
1483	Q₈	—	4	1	no	—
1484	Q₈	—	4	1	no	—
1485	Q₈	—	4	1	no	—
1486	Q₈	—	4	2	no	—
1487	Q₈	—	8	1	no	—
1488	Q₈	—	8	1	no	—
1489	Q₈	—	8	1	no	—
1490	Q₈	—	8	1	no	—
1491	Q₈	—	8	1	no	—
1492	Q₈	—	8	1	no	—
1493	Q₈	—	8	1	no	—
1494	D₄	—	2	4	no	—
1495	D₄	—	2	1	no	—
1496	D₄	—	2	1	no	—
1497	D₄	—	2	1	no	—
1498	D₄	—	2	1	no	—
1499	D₄	—	2	1	no	—
1500	D₄	—	2	1	no	—
1501	D₄	—	8	1	no	—
1502	D₄	—	8	1	no	—
1503	D₄	—	8	1	no	—
1504	D₄	—	8	1	no	—
1505	D₄	C₇×2₋¹⁺⁴	1	2	yes	—
1506	D₄	C₇×2₋¹⁺⁴	1	2	yes	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	4	1	no	—
1522	C₂×C₄	—	4	1	no	—
1523	C₂×C₄	—	4	2	no	—
1524	C₂×C₄	—	4	2	no	—
1525	C₂×C₄	—	8	1	no	—
1526	C₂×C₄	—	8	1	no	—
1527	C₂×C₄	—	8	1	no	—
1528	C₂×C₄	—	8	1	no	—
1529	C₂×C₄	—	8	1	no	—
1530	C₂×C₄	—	8	1	no	—
1531	C₂×C₄	—	8	1	no	—
1532	C₂×C₄	—	8	1	no	—
1533	C₂×C₄	—	8	1	no	—
1534	C₂×C₄	—	8	1	no	—
1535	C₂×C₄	—	8	1	no	—
1536	C₂×C₄	—	8	1	no	—
1537	C₂×C₄	—	8	1	no	—
1538	C₂×C₄	—	8	1	no	—
1539	C₂×C₄	—	8	1	no	—
1540	C₂×C₄	—	8	1	no	—
1541	C₂×C₄	—	8	1	no	—
1542	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1543	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1544	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1545	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1546	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1547	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1548	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1549	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1550	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1551	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1552	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1553	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1554	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1555	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1556	C₈	—	2	1	no	—
1557	C₈	—	2	1	no	—
1558	C₈	—	2	1	no	—
1559	C₈	—	2	1	no	—
1560	C₈	—	2	1	no	—
1561	C₈	—	2	1	no	—
1562	C₈	—	2	1	no	—
1563	C₈	—	2	1	no	—
1564	C₇	#61855	1	1	yes	characteristic, direct product factor, Sylow
1565	C₂²	—	2	1	no	—
1566	C₂²	—	2	1	no	—
1567	C₂²	—	2	1	no	—
1568	C₂²	—	2	2	no	—
1569	C₂²	—	2	2	no	—
1570	C₂²	—	4	1	no	—
1571	C₂²	—	4	1	no	—
1572	C₂²	—	4	1	no	—
1573	C₂²	—	4	1	no	—
1574	C₂²	—	4	1	no	—
1575	C₂²	—	4	1	no	—
1576	C₂²	—	4	1	no	—
1577	C₂²	—	4	1	no	—
1578	C₂²	—	4	1	no	—
1579	C₂²	—	4	1	no	—
1580	C₂²	—	8	4	no	—
1581	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1582	C₄	—	2	1	no	—
1583	C₄	—	2	1	no	—
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	1	no	—
1587	C₄	—	2	1	no	—
1588	C₄	—	2	1	no	—
1589	C₄	—	2	1	no	—
1590	C₄	—	2	1	no	—
1591	C₄	—	2	1	no	—
1592	C₄	—	2	1	no	—
1593	C₄	—	2	1	no	—
1594	C₄	—	2	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	1	no	—
1598	C₄	—	4	1	no	—
1599	C₄	—	4	1	no	—
1600	C₄	—	4	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1608	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1609	C₂	—	4	1	no	—
1610	C₂	—	4	2	no	—
1611	C₂	—	4	2	no	—
1612	C₂	—	8	1	no	—
1613	C₂	—	8	1	no	—
1614	C₂	C₇×#3486	1	1	yes	characteristic
1615	C₂	C₇×#3584	1	1	yes	characteristic
1616	C₂	C₇×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
prime radical	C₇×#3122	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₇×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3557	C₂	semidirect
2. C₇×#3501	C₂	semidirect
3. C₇×#3389	C₂	semidirect
4. C₇×#3389	C₂	semidirect
5. C₇×#3388	C₂	semidirect
6. C₇×#3388	C₂	semidirect
7. C₇×#3386	C₂	semidirect
8. C₇×#3384	C₂	semidirect
9. C₇×#3381	C₂	semidirect
10. C₇×#3380	C₂	semidirect
11. C₇×#3376	C₂	semidirect
12. C₇×#3376	C₂	semidirect
13. C₇×#3373	C₂	semidirect
14. C₇×#3370	C₂	semidirect
15. C₇×#3370	C₂	semidirect
16. C₇×#3367	C₂	semidirect
17. C₇×#3361	C₂	semidirect
18. C₇×#3360	C₂	semidirect
19. C₇×#3244	C₂	semidirect
20. C₇×#3243	C₂	semidirect
21. C₇×#3242	C₂	semidirect
22. C₇×#3241	C₂	semidirect
23. C₇×#3240	C₂	semidirect
24. C₇×#3233	C₂	semidirect
25. C₇×#3123	C₂	semidirect
27. C₇×#3118	C₂	semidirect
28. C₇×#3118	C₂	semidirect
29. C₇×#3114	C₂	semidirect
30. C₇×#3105	C₂	semidirect
31. C₇×#2985	C₂	semidirect
34. C₇×#559	C₂²	semidirect
35. C₇×#559	C₂²	semidirect
36. C₇×#557	C₂²	semidirect
37. C₇×#557	C₂²	semidirect
38. C₇×#556	C₂²	semidirect
39. C₇×#556	C₂²	semidirect
49. C₇×#554	C₂²	semidirect
50. C₇×#554	C₂²	semidirect
77. C₇×#501	C₂²	semidirect
78. C₇×#501	C₂²	semidirect
79. C₇×#501	C₂²	semidirect
80. C₇×#501	C₂²	semidirect
81. C₇×#501	C₂²	semidirect
82. C₇×#501	C₂²	semidirect
83. C₇×#500	C₂²	semidirect
84. C₇×#499	C₂²	semidirect
85. C₇×#499	C₂²	semidirect
86. C₇×#499	C₂²	semidirect
87. C₇×#499	C₂²	semidirect
88. C₇×#498	C₂²	semidirect
89. C₇×#491	C₂²	semidirect
90. C₇×#490	C₂²	semidirect
91. C₇×#489	C₂²	semidirect
92. C₇×#489	C₂²	semidirect
93. C₇×#489	C₂²	semidirect
94. C₇×#489	C₂²	semidirect
95. C₇×#488	C₂²	semidirect
96. C₇×#488	C₂²	semidirect
97. C₇×#488	C₂²	semidirect
98. C₇×#488	C₂²	semidirect
99. C₇×#487	C₂²	semidirect
100. C₇×#486	C₂²	semidirect
113. C₇×#479	C₂²	semidirect
114. C₇×#479	C₂²	semidirect
115. C₇×#479	C₂²	semidirect
116. C₇×#479	C₂²	semidirect
117. C₇×#479	C₂²	semidirect
118. C₇×#479	C₂²	semidirect
127. C₇×#478	C₂²	semidirect
128. C₇×#478	C₂²	semidirect
129. C₇×#478	C₂²	semidirect
130. C₇×#478	C₂²	semidirect
131. C₇×#478	C₂²	semidirect
132. C₇×#478	C₂²	semidirect
133. C₇×#477	C₂²	semidirect
134. C₇×#477	C₂²	semidirect
135. C₇×#477	C₂²	semidirect
138. C₇×#476	C₂²	semidirect
139. C₇×#476	C₂²	semidirect
140. C₇×#476	C₂²	semidirect
141. C₇×#475	C₂²	semidirect
142. C₇×#475	C₂²	semidirect
143. C₇×#475	C₂²	semidirect
146. C₇×#474	C₂²	semidirect
147. C₇×#474	C₂²	semidirect
148. C₇×#474	C₂²	semidirect
165. C₇×#446	C₂²	semidirect
166. C₇×#446	C₂²	semidirect
167. C₇×#446	C₂²	semidirect
168. C₇×#446	C₂²	semidirect
169. C₇×#446	C₂²	semidirect
170. C₇×#446	C₂²	semidirect
171. C₇×C₈×Q₈	C₂²	semidirect
172. C₇×C₈×Q₈	C₂²	semidirect
203. #61855	C₇	direct (N × H)
479. #3557	C₂×C₇	semidirect
480. #3501	C₂×C₇	semidirect
481. #3389	C₂×C₇	semidirect
482. #3389	C₂×C₇	semidirect
483. #3388	C₂×C₇	semidirect
484. #3388	C₂×C₇	semidirect
485. #3386	C₂×C₇	semidirect
486. #3384	C₂×C₇	semidirect
487. #3381	C₂×C₇	semidirect
488. #3380	C₂×C₇	semidirect
489. #3376	C₂×C₇	semidirect
490. #3376	C₂×C₇	semidirect
491. #3373	C₂×C₇	semidirect
492. #3370	C₂×C₇	semidirect
493. #3370	C₂×C₇	semidirect
494. #3367	C₂×C₇	semidirect
495. #3361	C₂×C₇	semidirect
496. #3360	C₂×C₇	semidirect
497. #3244	C₂×C₇	semidirect
498. #3243	C₂×C₇	semidirect
499. #3242	C₂×C₇	semidirect
500. #3241	C₂×C₇	semidirect
501. #3240	C₂×C₇	semidirect
502. #3233	C₂×C₇	semidirect
503. #3123	C₂×C₇	semidirect
505. #3118	C₂×C₇	semidirect
506. #3118	C₂×C₇	semidirect
507. #3114	C₂×C₇	semidirect
508. #3105	C₂×C₇	semidirect
509. #2985	C₂×C₇	semidirect
696. #559	C₂²×C₇	semidirect
697. #559	C₂²×C₇	semidirect
698. #557	C₂²×C₇	semidirect
699. #557	C₂²×C₇	semidirect
700. #556	C₂²×C₇	semidirect
701. #556	C₂²×C₇	semidirect
711. #554	C₂²×C₇	semidirect
712. #554	C₂²×C₇	semidirect
739. #501	C₂²×C₇	semidirect
740. #501	C₂²×C₇	semidirect
741. #501	C₂²×C₇	semidirect
742. #501	C₂²×C₇	semidirect
743. #501	C₂²×C₇	semidirect
744. #501	C₂²×C₇	semidirect
745. #500	C₂²×C₇	semidirect
746. #499	C₂²×C₇	semidirect
747. #499	C₂²×C₇	semidirect
748. #499	C₂²×C₇	semidirect
749. #499	C₂²×C₇	semidirect
750. #498	C₂²×C₇	semidirect
751. #491	C₂²×C₇	semidirect
752. #490	C₂²×C₇	semidirect
753. #489	C₂²×C₇	semidirect
754. #489	C₂²×C₇	semidirect
755. #489	C₂²×C₇	semidirect
756. #489	C₂²×C₇	semidirect
757. #488	C₂²×C₇	semidirect
758. #488	C₂²×C₇	semidirect
759. #488	C₂²×C₇	semidirect
760. #488	C₂²×C₇	semidirect
761. #487	C₂²×C₇	semidirect
762. #486	C₂²×C₇	semidirect
775. #479	C₂²×C₇	semidirect
776. #479	C₂²×C₇	semidirect
777. #479	C₂²×C₇	semidirect
778. #479	C₂²×C₇	semidirect
779. #479	C₂²×C₇	semidirect
780. #479	C₂²×C₇	semidirect
789. #478	C₂²×C₇	semidirect
790. #478	C₂²×C₇	semidirect
791. #478	C₂²×C₇	semidirect
792. #478	C₂²×C₇	semidirect
793. #478	C₂²×C₇	semidirect
794. #478	C₂²×C₇	semidirect
795. #477	C₂²×C₇	semidirect
796. #477	C₂²×C₇	semidirect
797. #477	C₂²×C₇	semidirect
800. #476	C₂²×C₇	semidirect
801. #476	C₂²×C₇	semidirect
802. #476	C₂²×C₇	semidirect
803. #475	C₂²×C₇	semidirect
804. #475	C₂²×C₇	semidirect
805. #475	C₂²×C₇	semidirect
808. #474	C₂²×C₇	semidirect
809. #474	C₂²×C₇	semidirect
810. #474	C₂²×C₇	semidirect
827. #446	C₂²×C₇	semidirect
828. #446	C₂²×C₇	semidirect
829. #446	C₂²×C₇	semidirect
830. #446	C₂²×C₇	semidirect
831. #446	C₂²×C₇	semidirect
832. #446	C₂²×C₇	semidirect
833. C₈×Q₈	C₂²×C₇	semidirect
834. C₈×Q₈	C₂²×C₇	semidirect
1564. C₇	#61855	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×#3557	2
C₇×#3501	2
C₇×#3389	2
C₇×#3388	2
C₇×#3386	2
C₇×#3384	2
C₇×#3381	2
C₇×#3380	2
C₇×#3376	2
C₇×#3373	2
C₇×#3370	2
C₇×#3367	2
C₇×#3361	2
C₇×#3360	2
C₇×#3244	2
C₇×#3243	2
C₇×#3242	2
C₇×#3241	2
C₇×#3240	2
C₇×#3233	2
C₇×#3123	2
C₇×#3122	2
C₇×#3118	2
C₇×#3114	2
C₇×#3105	2
C₇×#2985	2
#61855	7

Subgroups — C7×#61855 #13239071

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61855 #13239071