Subgroups — C₇×#61879 #13239095

Order 1792.

1656 conjugacy classes of subgroups.

The subgroup lattice has 1600 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×#3503	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3390	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×#3387	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3386	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3385	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3384	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3377	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3376	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3375	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3373	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3371	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3370	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3369	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3367	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×#3239	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#3238	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#3124	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#3120	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#3119	C₂	1	1	yes	maximal, characteristic
29	C₇×#3111	C₂	1	1	yes	maximal, characteristic, complemented
30	C₇×#3111	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇×#2987	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
35	C₇×#559	C₂²	1	1	yes	characteristic
36	C₇×Q₈²	C₂²	1	1	yes	characteristic
37	C₇×Q₈²	C₂²	1	1	yes	characteristic
38	C₇×#557	C₂²	1	1	yes	characteristic
39	C₇×#557	C₂²	1	1	yes	characteristic
40	C₇×#557	C₂²	1	1	yes	characteristic
41	C₇×#557	C₂²	1	1	yes	characteristic
42	C₇×#556	C₂²	1	1	yes	characteristic
43	C₇×#556	C₂²	1	1	yes	characteristic
44	C₇×#554	—	2	1	no	—
45	C₇×#554	—	2	1	no	—
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
50	C₇×#552	—	2	1	no	—
51	C₇×#552	—	2	1	no	—
52	C₇×D₄×Q₈	—	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	—	2	1	no	—
57	C₇×#544	—	2	1	no	—
58	C₇×#544	C₂²	1	1	yes	characteristic
59	C₇×#544	C₂²	1	1	yes	characteristic
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	—	2	1	no	—
69	C₇×#533	C₂²	1	1	yes	characteristic
70	C₂×C₇×C₄⋊Q₈	—	2	1	no	—
71	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
72	C₇×#529	C₂²	1	1	yes	characteristic
73	C₇×#529	C₂²	1	1	yes	characteristic
74	C₇×#520	C₂²	1	1	yes	characteristic
75	C₇×#520	C₂²	1	1	yes	characteristic
76	C₄×C₇×#41	C₂²	1	1	yes	characteristic
77	C₇×#501	C₂²	1	1	yes	characteristic
78	C₇×#501	C₂²	1	1	yes	characteristic
79	C₇×#501	C₂²	1	1	yes	characteristic
80	C₇×#501	C₂²	1	1	yes	characteristic
81	C₇×#501	C₂²	1	1	yes	characteristic
82	C₇×#501	C₂²	1	1	yes	characteristic
83	C₇×#501	C₂²	1	1	yes	characteristic
84	C₇×#501	C₂²	1	1	yes	characteristic
85	C₇×#500	C₂²	1	1	yes	characteristic
86	C₇×#499	C₂²	1	1	yes	characteristic
87	C₇×#499	C₂²	1	1	yes	characteristic
88	C₇×#498	C₂²	1	1	yes	characteristic
89	C₇×#491	C₂²	1	1	yes	characteristic
90	C₇×#490	C₂²	1	1	yes	characteristic
91	C₇×#489	C₂²	1	1	yes	characteristic
92	C₇×#489	C₂²	1	1	yes	characteristic
93	C₇×#489	C₂²	1	1	yes	characteristic
94	C₇×#489	C₂²	1	1	yes	characteristic
95	C₇×#489	C₂²	1	1	yes	characteristic
96	C₇×#489	C₂²	1	1	yes	characteristic
97	C₇×#488	C₂²	1	1	yes	characteristic
98	C₇×#488	C₂²	1	1	yes	characteristic
99	C₇×#487	C₂²	1	1	yes	characteristic
100	C₇×#486	C₂²	1	1	yes	characteristic
101	C₇×#485	C₂²	1	1	yes	characteristic
102	C₇×#485	C₂²	1	1	yes	characteristic
103	C₇×#484	C₂²	1	1	yes	characteristic
104	C₇×#484	C₂²	1	1	yes	characteristic
105	C₇×#483	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×#481	C₂²	1	1	yes	characteristic
110	C₇×#481	C₂²	1	1	yes	characteristic
111	C₇×#480	C₂²	1	1	yes	characteristic
112	C₇×#480	C₂²	1	1	yes	characteristic
113	C₇×#479	C₂²	1	1	yes	characteristic
114	C₇×#479	C₂²	1	1	yes	characteristic
115	C₇×#479	C₂²	1	1	yes	characteristic
116	C₇×#479	C₂²	1	1	yes	characteristic
117	C₇×#479	C₂²	1	1	yes	characteristic
118	C₇×#479	C₂²	1	1	yes	characteristic
119	C₇×#479	C₂²	1	1	yes	characteristic
120	C₇×#479	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
128	C₇×#478	C₂²	1	1	yes	characteristic
129	C₇×#477	C₂²	1	1	yes	characteristic
130	C₇×#477	C₂²	1	1	yes	characteristic
131	C₇×#477	C₂²	1	1	yes	characteristic
132	C₇×#477	C₂²	1	1	yes	characteristic
133	C₇×#477	C₂²	1	1	yes	characteristic
134	C₇×#476	C₂²	1	1	yes	characteristic
135	C₇×#476	C₂²	1	1	yes	characteristic
136	C₇×#476	C₂²	1	1	yes	characteristic
137	C₇×#476	C₂²	1	1	yes	characteristic
138	C₇×#476	C₂²	1	1	yes	characteristic
139	C₇×#475	C₂²	1	1	yes	characteristic
140	C₇×#475	C₂²	1	1	yes	characteristic
141	C₇×#475	C₂²	1	1	yes	characteristic
142	C₇×#475	C₂²	1	1	yes	characteristic
143	C₇×#475	C₂²	1	1	yes	characteristic
144	C₇×#474	C₂²	1	1	yes	characteristic
145	C₇×#474	C₂²	1	1	yes	characteristic
146	C₇×#474	C₂²	1	1	yes	characteristic
147	C₇×#474	C₂²	1	1	yes	characteristic
148	C₇×#474	C₂²	1	1	yes	characteristic
149	C₇×#464	C₂²	1	1	yes	characteristic
150	C₇×#464	C₂²	1	1	yes	characteristic
151	C₇×#464	C₂²	1	1	yes	characteristic
152	C₇×#464	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×#462	C₂²	1	1	yes	characteristic
158	C₇×#461	C₂²	1	1	yes	characteristic
159	C₇×#460	C₂²	1	1	yes	characteristic
160	C₇×#459	C₂²	1	1	yes	characteristic
161	C₇×#452	C₂²	1	1	yes	characteristic
162	C₇×#452	C₂²	1	1	yes	characteristic
163	C₇×#449	C₂²	1	1	yes	characteristic
164	C₇×#449	C₂²	1	1	yes	characteristic
165	C₇×#446	C₂²	1	1	yes	characteristic
166	C₇×#446	C₂²	1	1	yes	characteristic
167	C₇×#446	C₂²	1	1	yes	characteristic
168	C₇×#446	C₂²	1	1	yes	characteristic
169	C₇×#446	C₂²	1	1	yes	characteristic
170	C₇×#446	C₂²	1	1	yes	characteristic
171	C₇×#446	C₂²	1	1	yes	characteristic
172	C₇×#446	C₂²	1	1	yes	characteristic
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×#441	C₂²	1	1	yes	characteristic
178	C₇×#441	C₂²	1	1	yes	characteristic
179	C₇×#441	C₂²	1	1	yes	characteristic
180	C₇×#441	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	C₇×#440	C₂²	1	1	yes	characteristic
186	C₇×#440	C₂²	1	1	yes	characteristic
187	C₇×#440	C₂²	1	1	yes	characteristic
188	C₇×#440	C₂²	1	1	yes	characteristic
189	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic
190	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic
191	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
192	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
193	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
194	C₄×C₇×SD₁₆	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×#432	C₂²	1	1	yes	characteristic
203	#61879	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
204	C₂×C₇×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₇×Q₈	—	2	1	no	—
206	C₂²×C₇×Q₈	—	2	1	no	—
207	C₂²×C₇×Q₈	—	2	1	no	—
208	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
209	C₂×C₇×Q₁₆	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×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₇×SD₁₆	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	—	2	1	no	—
221	C₇×C₄⋊Q₈	—	2	1	no	—
222	C₇×C₄⋊Q₈	—	2	1	no	—
223	C₇×C₄⋊Q₈	—	2	1	no	—
224	C₇×C₄⋊Q₈	—	2	1	no	—
225	C₇×C₄⋊Q₈	—	2	1	no	—
226	C₇×C₄⋊Q₈	—	2	1	no	—
227	C₇×C₄⋊Q₈	—	2	1	no	—
228	C₇×C₄⋊Q₈	—	2	1	no	—
229	C₇×C₄⋊Q₈	—	2	1	no	—
230	C₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
231	C₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
232	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
233	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
234	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
240	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₇×#127	C₂³	1	1	yes	characteristic
244	C₇×#126	—	2	1	no	—
245	C₇×#126	—	2	1	no	—
246	C₇×#126	—	2	1	no	—
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×#125	—	2	1	no	—
255	C₇×#125	—	2	1	no	—
256	C₇×#125	—	2	1	no	—
257	C₇×#125	—	2	1	no	—
258	C₇×#125	—	2	1	no	—
259	C₇×#125	—	2	1	no	—
260	C₇×#125	—	2	1	no	—
261	C₇×#125	—	2	1	no	—
262	C₇×#125	—	2	1	no	—
263	C₇×#125	—	2	1	no	—
264	C₇×#125	—	2	1	no	—
265	C₇×#125	—	2	1	no	—
266	C₇×#125	D₄	1	1	yes	characteristic
267	C₇×#125	D₄	1	1	yes	characteristic
268	C₇×#125	C₂³	1	1	yes	characteristic
269	C₇×#125	C₂³	1	1	yes	characteristic
270	C₇×#125	C₂³	1	1	yes	characteristic
271	C₇×#125	C₂³	1	1	yes	characteristic
272	C₇×#125	C₂³	1	1	yes	characteristic
273	C₇×#125	C₂³	1	1	yes	characteristic
274	C₇×#125	C₂³	1	1	yes	characteristic
275	C₇×#125	C₂³	1	1	yes	characteristic
276	C₇×#124	—	2	1	no	—
277	C₇×#124	—	2	1	no	—
278	C₇×#124	—	2	1	no	—
279	C₇×#124	—	2	1	no	—
280	C₇×#124	C₂³	1	1	yes	characteristic
281	C₇×#124	C₂³	1	1	yes	characteristic
282	C₇×#124	C₂³	1	1	yes	characteristic
283	C₇×#124	C₂³	1	1	yes	characteristic
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×#123	—	2	1	no	—
290	C₇×#123	—	2	1	no	—
291	C₇×#123	—	2	1	no	—
292	C₇×#123	—	2	1	no	—
293	C₇×#123	—	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	—	2	1	no	—
335	C₄×C₇×Q₈	—	2	1	no	—
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×Q₈	C₂³	1	1	yes	characteristic
345	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
346	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
347	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
348	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
349	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
350	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
351	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
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	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	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
373	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
374	C₇×#117	—	2	1	no	—
375	C₇×#117	—	2	1	no	—
376	C₇×#117	—	2	1	no	—
377	C₇×#117	—	2	1	no	—
378	C₇×#117	—	2	1	no	—
379	C₇×#117	—	2	1	no	—
380	C₇×#117	—	2	1	no	—
381	C₇×#117	C₂³	1	1	yes	characteristic
382	C₇×#117	C₂³	1	1	yes	characteristic
383	C₇×#117	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
389	C₂×C₇×C₄⋊C₄	—	2	1	no	—
390	C₂×C₇×C₄⋊C₄	—	2	1	no	—
391	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
392	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
393	C₂×C₄²×C₇	—	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×#103	C₂³	1	1	yes	characteristic
444	C₇×#103	C₂³	1	1	yes	characteristic
445	C₇×#103	C₂³	1	1	yes	characteristic
446	C₇×#103	C₂³	1	1	yes	characteristic
447	C₇×#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	C₇×#97	C₂³	1	1	yes	characteristic
474	C₇×#97	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	#3503	C₂×C₇	1	1	yes	characteristic, complemented
481	#3390	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	#3387	C₂×C₇	1	1	yes	characteristic, complemented
486	#3386	C₂×C₇	1	1	yes	characteristic, complemented
487	#3385	C₂×C₇	1	1	yes	characteristic, complemented
488	#3384	C₂×C₇	1	1	yes	characteristic, complemented
489	#3377	C₂×C₇	1	1	yes	characteristic, complemented
490	#3376	C₂×C₇	1	1	yes	characteristic, complemented
491	#3375	C₂×C₇	1	1	yes	characteristic, complemented
492	#3373	C₂×C₇	1	1	yes	characteristic, complemented
493	#3371	C₂×C₇	1	1	yes	characteristic, complemented
494	#3370	C₂×C₇	1	1	yes	characteristic, complemented
495	#3369	C₂×C₇	1	1	yes	characteristic, complemented
496	#3367	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	#3239	C₂×C₇	1	1	yes	characteristic, complemented
502	#3238	C₂×C₇	1	1	yes	characteristic, complemented
503	#3125	C₂×C₇	1	1	yes	characteristic, complemented
504	#3124	C₂×C₇	1	1	yes	characteristic, complemented
505	#3120	C₂×C₇	1	1	yes	characteristic, complemented
506	#3119	C₂×C₇	1	1	yes	characteristic
507	#3111	C₂×C₇	1	1	yes	characteristic, complemented
508	#3111	C₂×C₇	1	1	yes	characteristic, complemented
509	#2987	C₂×C₇	1	1	yes	characteristic, complemented
510	C₇×#41	—	2	2	no	—
511	C₇×#41	—	2	2	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	—	2	1	no	—
520	C₂×C₇×Q₈	—	2	1	no	—
521	C₂×C₇×Q₈	—	2	1	no	—
522	C₂×C₇×Q₈	—	8	2	no	—
523	C₂×C₇×Q₈	—	8	2	no	—
524	C₂×C₇×Q₈	—	8	2	no	—
525	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
526	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
527	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
528	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
529	C₂×C₇×Q₈	C₂⁴	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×D₄	—	2	1	no	—
533	C₂×C₇×D₄	—	2	1	no	—
534	C₂×C₇×D₄	—	2	1	no	—
535	C₂×C₇×D₄	—	2	1	no	—
536	C₂×C₇×D₄	—	2	1	no	—
537	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
538	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
539	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
556	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
557	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
558	C₇×Q₁₆	—	2	2	no	—
559	C₇×Q₁₆	—	2	2	no	—
560	C₇×SD₁₆	—	2	2	no	—
561	C₇×SD₁₆	—	2	2	no	—
562	C₇×SD₁₆	—	2	2	no	—
563	C₇×SD₁₆	—	2	2	no	—
564	C₇×D₈	—	2	2	no	—
565	C₇×D₈	—	2	2	no	—
566	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
567	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
568	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
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	C₇×C₄⋊C₄	—	2	1	no	—
575	C₇×C₄⋊C₄	—	2	1	no	—
576	C₇×C₄⋊C₄	—	2	1	no	—
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	—	2	1	no	—
617	C₇×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
633	C₇×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
643	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
670	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
672	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
673	C₄²×C₇	—	2	1	no	—
674	C₄²×C₇	—	2	1	no	—
675	C₄²×C₇	—	2	1	no	—
676	C₄²×C₇	—	2	1	no	—
677	C₄²×C₇	—	2	1	no	—
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
697	#559	C₂²×C₇	1	1	yes	characteristic
698	Q₈²	C₂²×C₇	1	1	yes	characteristic
699	Q₈²	C₂²×C₇	1	1	yes	characteristic
700	#557	C₂²×C₇	1	1	yes	characteristic
701	#557	C₂²×C₇	1	1	yes	characteristic
702	#557	C₂²×C₇	1	1	yes	characteristic
703	#557	C₂²×C₇	1	1	yes	characteristic
704	#556	C₂²×C₇	1	1	yes	characteristic
705	#556	C₂²×C₇	1	1	yes	characteristic
706	#554	—	2	1	no	—
707	#554	—	2	1	no	—
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
712	#552	—	2	1	no	—
713	#552	—	2	1	no	—
714	D₄×Q₈	—	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	—	2	1	no	—
719	#544	—	2	1	no	—
720	#544	C₂²×C₇	1	1	yes	characteristic
721	#544	C₂²×C₇	1	1	yes	characteristic
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	—	2	1	no	—
731	#533	C₂²×C₇	1	1	yes	characteristic
732	C₂×C₄⋊Q₈	—	2	1	no	—
733	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic
734	#529	C₂²×C₇	1	1	yes	characteristic
735	#529	C₂²×C₇	1	1	yes	characteristic
736	#520	C₂²×C₇	1	1	yes	characteristic
737	#520	C₂²×C₇	1	1	yes	characteristic
738	C₄×#41	C₂²×C₇	1	1	yes	characteristic
739	#501	C₂²×C₇	1	1	yes	characteristic
740	#501	C₂²×C₇	1	1	yes	characteristic
741	#501	C₂²×C₇	1	1	yes	characteristic
742	#501	C₂²×C₇	1	1	yes	characteristic
743	#501	C₂²×C₇	1	1	yes	characteristic
744	#501	C₂²×C₇	1	1	yes	characteristic
745	#501	C₂²×C₇	1	1	yes	characteristic
746	#501	C₂²×C₇	1	1	yes	characteristic
747	#500	C₂²×C₇	1	1	yes	characteristic
748	#499	C₂²×C₇	1	1	yes	characteristic
749	#499	C₂²×C₇	1	1	yes	characteristic
750	#498	C₂²×C₇	1	1	yes	characteristic
751	#491	C₂²×C₇	1	1	yes	characteristic
752	#490	C₂²×C₇	1	1	yes	characteristic
753	#489	C₂²×C₇	1	1	yes	characteristic
754	#489	C₂²×C₇	1	1	yes	characteristic
755	#489	C₂²×C₇	1	1	yes	characteristic
756	#489	C₂²×C₇	1	1	yes	characteristic
757	#489	C₂²×C₇	1	1	yes	characteristic
758	#489	C₂²×C₇	1	1	yes	characteristic
759	#488	C₂²×C₇	1	1	yes	characteristic
760	#488	C₂²×C₇	1	1	yes	characteristic
761	#487	C₂²×C₇	1	1	yes	characteristic
762	#486	C₂²×C₇	1	1	yes	characteristic
763	#485	C₂²×C₇	1	1	yes	characteristic
764	#485	C₂²×C₇	1	1	yes	characteristic
765	#484	C₂²×C₇	1	1	yes	characteristic
766	#484	C₂²×C₇	1	1	yes	characteristic
767	#483	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	#481	C₂²×C₇	1	1	yes	characteristic
772	#481	C₂²×C₇	1	1	yes	characteristic
773	#480	C₂²×C₇	1	1	yes	characteristic
774	#480	C₂²×C₇	1	1	yes	characteristic
775	#479	C₂²×C₇	1	1	yes	characteristic
776	#479	C₂²×C₇	1	1	yes	characteristic
777	#479	C₂²×C₇	1	1	yes	characteristic
778	#479	C₂²×C₇	1	1	yes	characteristic
779	#479	C₂²×C₇	1	1	yes	characteristic
780	#479	C₂²×C₇	1	1	yes	characteristic
781	#479	C₂²×C₇	1	1	yes	characteristic
782	#479	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
790	#478	C₂²×C₇	1	1	yes	characteristic
791	#477	C₂²×C₇	1	1	yes	characteristic
792	#477	C₂²×C₇	1	1	yes	characteristic
793	#477	C₂²×C₇	1	1	yes	characteristic
794	#477	C₂²×C₇	1	1	yes	characteristic
795	#477	C₂²×C₇	1	1	yes	characteristic
796	#476	C₂²×C₇	1	1	yes	characteristic
797	#476	C₂²×C₇	1	1	yes	characteristic
798	#476	C₂²×C₇	1	1	yes	characteristic
799	#476	C₂²×C₇	1	1	yes	characteristic
800	#476	C₂²×C₇	1	1	yes	characteristic
801	#475	C₂²×C₇	1	1	yes	characteristic
802	#475	C₂²×C₇	1	1	yes	characteristic
803	#475	C₂²×C₇	1	1	yes	characteristic
804	#475	C₂²×C₇	1	1	yes	characteristic
805	#475	C₂²×C₇	1	1	yes	characteristic
806	#474	C₂²×C₇	1	1	yes	characteristic
807	#474	C₂²×C₇	1	1	yes	characteristic
808	#474	C₂²×C₇	1	1	yes	characteristic
809	#474	C₂²×C₇	1	1	yes	characteristic
810	#474	C₂²×C₇	1	1	yes	characteristic
811	#464	C₂²×C₇	1	1	yes	characteristic
812	#464	C₂²×C₇	1	1	yes	characteristic
813	#464	C₂²×C₇	1	1	yes	characteristic
814	#464	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	#462	C₂²×C₇	1	1	yes	characteristic
820	#461	C₂²×C₇	1	1	yes	characteristic
821	#460	C₂²×C₇	1	1	yes	characteristic
822	#459	C₂²×C₇	1	1	yes	characteristic
823	#452	C₂²×C₇	1	1	yes	characteristic
824	#452	C₂²×C₇	1	1	yes	characteristic
825	#449	C₂²×C₇	1	1	yes	characteristic
826	#449	C₂²×C₇	1	1	yes	characteristic
827	#446	C₂²×C₇	1	1	yes	characteristic
828	#446	C₂²×C₇	1	1	yes	characteristic
829	#446	C₂²×C₇	1	1	yes	characteristic
830	#446	C₂²×C₇	1	1	yes	characteristic
831	#446	C₂²×C₇	1	1	yes	characteristic
832	#446	C₂²×C₇	1	1	yes	characteristic
833	#446	C₂²×C₇	1	1	yes	characteristic
834	#446	C₂²×C₇	1	1	yes	characteristic
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	#441	C₂²×C₇	1	1	yes	characteristic
840	#441	C₂²×C₇	1	1	yes	characteristic
841	#441	C₂²×C₇	1	1	yes	characteristic
842	#441	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	#440	C₂²×C₇	1	1	yes	characteristic
848	#440	C₂²×C₇	1	1	yes	characteristic
849	#440	C₂²×C₇	1	1	yes	characteristic
850	#440	C₂²×C₇	1	1	yes	characteristic
851	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic
852	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic
853	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
854	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
855	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
856	C₄×SD₁₆	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	#432	C₂²×C₇	1	1	yes	characteristic
865	C₂³×C₇	—	2	1	no	—
866	C₂³×C₇	—	2	1	no	—
867	C₂³×C₇	—	2	1	no	—
868	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
869	C₇×Q₈	—	2	1	no	—
870	C₇×Q₈	—	2	1	no	—
871	C₇×Q₈	—	2	1	no	—
872	C₇×Q₈	—	2	1	no	—
873	C₇×Q₈	—	2	1	no	—
874	C₇×Q₈	—	4	1	no	—
875	C₇×Q₈	—	4	1	no	—
876	C₇×Q₈	—	4	1	no	—
877	C₇×Q₈	—	4	1	no	—
878	C₇×Q₈	—	4	2	no	—
879	C₇×Q₈	—	4	2	no	—
880	C₇×Q₈	—	8	1	no	—
881	C₇×Q₈	—	8	1	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	2₋¹⁺⁴	1	2	yes	—
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	—	8	1	no	—
896	C₇×D₄	—	8	1	no	—
897	C₇×D₄	—	8	1	no	—
898	C₇×D₄	—	8	1	no	—
899	C₇×D₄	2₋¹⁺⁴	1	2	yes	—
900	C₂×C₄×C₇	—	2	4	no	—
901	C₂×C₄×C₇	—	2	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
933	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
934	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
935	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
936	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
946	C₇×C₈	—	2	1	no	—
947	C₇×C₈	—	2	1	no	—
948	C₇×C₈	—	2	1	no	—
949	C₇×C₈	—	2	1	no	—
950	C₇×C₈	—	2	1	no	—
951	C₇×C₈	—	2	1	no	—
952	C₇×C₈	—	2	1	no	—
953	C₇×C₈	—	2	1	no	—
954	C₂×#41	C₂³×C₇	1	1	yes	characteristic
955	C₂²×Q₈	—	2	1	no	—
956	C₂²×Q₈	—	2	1	no	—
957	C₂²×Q₈	—	2	1	no	—
958	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
959	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
960	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
961	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
962	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
963	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
964	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
965	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
966	C₄⋊Q₈	—	2	1	no	—
967	C₄⋊Q₈	—	2	1	no	—
968	C₄⋊Q₈	—	2	1	no	—
969	C₄⋊Q₈	—	2	1	no	—
970	C₄⋊Q₈	—	2	1	no	—
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	—	2	1	no	—
976	C₄⋊Q₈	—	2	1	no	—
977	C₄⋊Q₈	—	2	1	no	—
978	C₄⋊Q₈	—	2	1	no	—
979	C₄⋊Q₈	—	2	1	no	—
980	C₄⋊Q₈	C₇×D₄	1	1	yes	characteristic
981	C₄⋊Q₈	C₇×D₄	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	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
987	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
988	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
989	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
990	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
991	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
992	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
993	#127	C₂³×C₇	1	1	yes	characteristic
994	#126	—	2	1	no	—
995	#126	—	2	1	no	—
996	#126	—	2	1	no	—
997	#126	—	2	1	no	—
998	#126	—	2	1	no	—
999	#126	—	2	1	no	—
1000	#126	—	2	1	no	—
1001	#126	—	2	1	no	—
1002	#126	—	2	1	no	—
1003	#126	—	2	1	no	—
1004	#125	—	2	1	no	—
1005	#125	—	2	1	no	—
1006	#125	—	2	1	no	—
1007	#125	—	2	1	no	—
1008	#125	—	2	1	no	—
1009	#125	—	2	1	no	—
1010	#125	—	2	1	no	—
1011	#125	—	2	1	no	—
1012	#125	—	2	1	no	—
1013	#125	—	2	1	no	—
1014	#125	—	2	1	no	—
1015	#125	—	2	1	no	—
1016	#125	C₇×D₄	1	1	yes	characteristic
1017	#125	C₇×D₄	1	1	yes	characteristic
1018	#125	C₂³×C₇	1	1	yes	characteristic
1019	#125	C₂³×C₇	1	1	yes	characteristic
1020	#125	C₂³×C₇	1	1	yes	characteristic
1021	#125	C₂³×C₇	1	1	yes	characteristic
1022	#125	C₂³×C₇	1	1	yes	characteristic
1023	#125	C₂³×C₇	1	1	yes	characteristic
1024	#125	C₂³×C₇	1	1	yes	characteristic
1025	#125	C₂³×C₇	1	1	yes	characteristic
1026	#124	—	2	1	no	—
1027	#124	—	2	1	no	—
1028	#124	—	2	1	no	—
1029	#124	—	2	1	no	—
1030	#124	C₂³×C₇	1	1	yes	characteristic
1031	#124	C₂³×C₇	1	1	yes	characteristic
1032	#124	C₂³×C₇	1	1	yes	characteristic
1033	#124	C₂³×C₇	1	1	yes	characteristic
1034	#123	—	2	1	no	—
1035	#123	—	2	1	no	—
1036	#123	—	2	1	no	—
1037	#123	—	2	1	no	—
1038	#123	—	2	1	no	—
1039	#123	—	2	1	no	—
1040	#123	—	2	1	no	—
1041	#123	—	2	1	no	—
1042	#123	—	2	1	no	—
1043	#123	—	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	C₇×D₄	1	1	yes	characteristic
1071	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
1072	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
1073	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
1074	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1075	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1076	#121	—	2	1	no	—
1077	#121	—	2	1	no	—
1078	#121	C₂³×C₇	1	1	yes	characteristic
1079	#121	C₂³×C₇	1	1	yes	characteristic
1080	C₄×Q₈	—	2	1	no	—
1081	C₄×Q₈	—	2	1	no	—
1082	C₄×Q₈	—	2	1	no	—
1083	C₄×Q₈	—	2	1	no	—
1084	C₄×Q₈	—	2	1	no	—
1085	C₄×Q₈	—	2	1	no	—
1086	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1087	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1088	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
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×Q₈	C₂³×C₇	1	1	yes	characteristic
1100	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1101	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
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	—	2	1	no	—
1110	C₄×D₄	—	2	1	no	—
1111	C₄×D₄	—	2	1	no	—
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	#117	—	2	1	no	—
1125	#117	—	2	1	no	—
1126	#117	—	2	1	no	—
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	C₂×C₄⋊C₄	—	2	1	no	—
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	C₂³×C₇	1	1	yes	characteristic
1142	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1143	C₂×C₄²	—	2	1	no	—
1144	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1145	#107	C₂³×C₇	1	1	yes	characteristic
1146	#107	C₂³×C₇	1	1	yes	characteristic
1147	#107	C₂³×C₇	1	1	yes	characteristic
1148	#107	C₂³×C₇	1	1	yes	characteristic
1149	#107	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	#106	C₂³×C₇	1	1	yes	characteristic
1158	#106	C₂³×C₇	1	1	yes	characteristic
1159	#106	C₂³×C₇	1	1	yes	characteristic
1160	#106	C₂³×C₇	1	1	yes	characteristic
1161	#106	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	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1170	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1171	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1172	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1173	C₄⋊C₈	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	#103	C₂³×C₇	1	1	yes	characteristic
1182	#103	C₂³×C₇	1	1	yes	characteristic
1183	#103	C₂³×C₇	1	1	yes	characteristic
1184	#103	C₂³×C₇	1	1	yes	characteristic
1185	#103	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	#102	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	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1214	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1215	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1216	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1217	#97	C₂³×C₇	1	1	yes	characteristic
1218	#97	C₂³×C₇	1	1	yes	characteristic
1219	#97	C₂³×C₇	1	1	yes	characteristic
1220	#97	C₂³×C₇	1	1	yes	characteristic
1221	#97	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	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1226	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1227	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1228	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1229	C₂²×C₇	—	2	1	no	—
1230	C₂²×C₇	—	2	1	no	—
1231	C₂²×C₇	—	2	1	no	—
1232	C₂²×C₇	—	2	2	no	—
1233	C₂²×C₇	—	4	1	no	—
1234	C₂²×C₇	—	4	1	no	—
1235	C₂²×C₇	—	4	1	no	—
1236	C₂²×C₇	—	4	1	no	—
1237	C₂²×C₇	—	4	1	no	—
1238	C₂²×C₇	—	4	1	no	—
1239	C₂²×C₇	—	4	1	no	—
1240	C₂²×C₇	—	4	1	no	—
1241	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1242	C₄×C₇	—	2	1	no	—
1243	C₄×C₇	—	2	1	no	—
1244	C₄×C₇	—	2	1	no	—
1245	C₄×C₇	—	2	1	no	—
1246	C₄×C₇	—	2	1	no	—
1247	C₄×C₇	—	2	1	no	—
1248	C₄×C₇	—	2	1	no	—
1249	C₄×C₇	—	2	1	no	—
1250	C₄×C₇	—	2	1	no	—
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	2	no	—
1256	C₄×C₇	—	4	1	no	—
1257	C₄×C₇	—	4	1	no	—
1258	C₄×C₇	—	4	1	no	—
1259	C₄×C₇	—	4	1	no	—
1260	C₄×C₇	—	4	1	no	—
1261	C₄×C₇	—	4	1	no	—
1262	C₄×C₇	—	4	1	no	—
1263	C₄×C₇	—	4	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	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1269	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1270	#41	—	2	2	no	—
1271	#41	—	2	2	no	—
1272	C₂×Q₈	—	2	1	no	—
1273	C₂×Q₈	—	2	1	no	—
1274	C₂×Q₈	—	2	1	no	—
1275	C₂×Q₈	—	2	1	no	—
1276	C₂×Q₈	—	2	1	no	—
1277	C₂×Q₈	—	2	1	no	—
1278	C₂×Q₈	—	2	1	no	—
1279	C₂×Q₈	—	2	1	no	—
1280	C₂×Q₈	—	2	1	no	—
1281	C₂×Q₈	—	2	1	no	—
1282	C₂×Q₈	—	8	2	no	—
1283	C₂×Q₈	—	8	2	no	—
1284	C₂×Q₈	—	8	2	no	—
1285	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1286	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1287	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1288	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1289	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1290	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1291	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1292	C₂×D₄	—	2	1	no	—
1293	C₂×D₄	—	2	1	no	—
1294	C₂×D₄	—	2	1	no	—
1295	C₂×D₄	—	2	1	no	—
1296	C₂×D₄	—	2	1	no	—
1297	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1298	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1299	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1300	C₂²×C₄	—	2	1	no	—
1301	C₂²×C₄	—	2	1	no	—
1302	C₂²×C₄	—	2	1	no	—
1303	C₂²×C₄	—	2	1	no	—
1304	C₂²×C₄	—	2	1	no	—
1305	C₂²×C₄	—	2	1	no	—
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	C₂×C₇×D₄	1	1	yes	characteristic
1316	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1317	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1318	Q₁₆	—	2	2	no	—
1319	Q₁₆	—	2	2	no	—
1320	SD₁₆	—	2	2	no	—
1321	SD₁₆	—	2	2	no	—
1322	SD₁₆	—	2	2	no	—
1323	SD₁₆	—	2	2	no	—
1324	D₈	—	2	2	no	—
1325	D₈	—	2	2	no	—
1326	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1327	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1328	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1329	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1330	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1331	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1332	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1333	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1334	C₄⋊C₄	—	2	1	no	—
1335	C₄⋊C₄	—	2	1	no	—
1336	C₄⋊C₄	—	2	1	no	—
1337	C₄⋊C₄	—	2	1	no	—
1338	C₄⋊C₄	—	2	1	no	—
1339	C₄⋊C₄	—	2	1	no	—
1340	C₄⋊C₄	—	2	1	no	—
1341	C₄⋊C₄	—	2	1	no	—
1342	C₄⋊C₄	—	2	1	no	—
1343	C₄⋊C₄	—	2	1	no	—
1344	C₄⋊C₄	—	2	1	no	—
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	C₂×C₇×D₄	1	1	yes	characteristic
1379	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1380	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1381	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1382	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1383	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
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	C₂⁴×C₇	1	1	yes	characteristic
1395	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1396	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1397	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1398	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1399	C₄⋊C₄	C₂⁴×C₇	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	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	—	2	1	no	—
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	C₂×C₇×D₄	1	1	yes	characteristic
1430	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1431	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1432	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1433	C₄²	—	2	1	no	—
1434	C₄²	—	2	1	no	—
1435	C₄²	—	2	1	no	—
1436	C₄²	—	2	1	no	—
1437	C₄²	—	2	1	no	—
1438	C₄²	—	2	1	no	—
1439	C₄²	—	2	1	no	—
1440	C₄²	—	2	1	no	—
1441	C₄²	—	2	1	no	—
1442	C₄²	—	2	1	no	—
1443	C₄²	—	2	1	no	—
1444	C₄²	—	2	1	no	—
1445	C₄²	—	2	1	no	—
1446	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1447	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1448	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1449	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1450	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1451	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1452	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1453	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1454	C₂×C₇	—	4	1	no	—
1455	C₂×C₇	—	4	2	no	—
1456	C₂×C₇	—	8	1	no	—
1457	C₂×C₇	—	8	1	no	—
1458	C₂×C₇	#3486	1	1	yes	characteristic
1459	C₂×C₇	#3585	1	1	yes	characteristic
1460	C₂×C₇	#3586	1	1	yes	characteristic
1461	C₂³	—	2	1	no	—
1462	C₂³	—	2	1	no	—
1463	C₂³	—	2	1	no	—
1464	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1465	Q₈	—	2	1	no	—
1466	Q₈	—	2	1	no	—
1467	Q₈	—	2	1	no	—
1468	Q₈	—	2	1	no	—
1469	Q₈	—	2	1	no	—
1470	Q₈	—	4	1	no	—
1471	Q₈	—	4	1	no	—
1472	Q₈	—	4	1	no	—
1473	Q₈	—	4	1	no	—
1474	Q₈	—	4	2	no	—
1475	Q₈	—	4	2	no	—
1476	Q₈	—	8	1	no	—
1477	Q₈	—	8	1	no	—
1478	Q₈	—	8	1	no	—
1479	Q₈	—	8	1	no	—
1480	Q₈	—	8	1	no	—
1481	Q₈	—	8	1	no	—
1482	Q₈	—	8	1	no	—
1483	Q₈	—	8	1	no	—
1484	Q₈	C₇×2₋¹⁺⁴	1	2	yes	—
1485	D₄	—	2	4	no	—
1486	D₄	—	2	1	no	—
1487	D₄	—	2	1	no	—
1488	D₄	—	2	1	no	—
1489	D₄	—	2	1	no	—
1490	D₄	—	2	1	no	—
1491	D₄	—	8	1	no	—
1492	D₄	—	8	1	no	—
1493	D₄	—	8	1	no	—
1494	D₄	—	8	1	no	—
1495	D₄	C₇×2₋¹⁺⁴	1	2	yes	—
1496	C₂×C₄	—	2	4	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
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	—	4	1	no	—
1513	C₂×C₄	—	4	1	no	—
1514	C₂×C₄	—	4	2	no	—
1515	C₂×C₄	—	4	2	no	—
1516	C₂×C₄	—	8	1	no	—
1517	C₂×C₄	—	8	1	no	—
1518	C₂×C₄	—	8	1	no	—
1519	C₂×C₄	—	8	1	no	—
1520	C₂×C₄	—	8	1	no	—
1521	C₂×C₄	—	8	1	no	—
1522	C₂×C₄	—	8	1	no	—
1523	C₂×C₄	—	8	1	no	—
1524	C₂×C₄	—	8	1	no	—
1525	C₂×C₄	—	8	1	no	—
1526	C₂×C₄	—	8	1	no	—
1527	C₂×C₄	—	8	1	no	—
1528	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1529	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1530	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1531	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1532	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1533	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1534	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1535	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1536	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1537	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1538	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1539	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1540	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1541	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1542	C₈	—	2	1	no	—
1543	C₈	—	2	1	no	—
1544	C₈	—	2	1	no	—
1545	C₈	—	2	1	no	—
1546	C₈	—	2	1	no	—
1547	C₈	—	2	1	no	—
1548	C₈	—	2	1	no	—
1549	C₈	—	2	1	no	—
1550	C₇	#61879	1	1	yes	characteristic, direct product factor, Sylow
1551	C₂²	—	2	1	no	—
1552	C₂²	—	2	1	no	—
1553	C₂²	—	2	1	no	—
1554	C₂²	—	2	2	no	—
1555	C₂²	—	4	1	no	—
1556	C₂²	—	4	1	no	—
1557	C₂²	—	4	1	no	—
1558	C₂²	—	4	1	no	—
1559	C₂²	—	4	1	no	—
1560	C₂²	—	4	1	no	—
1561	C₂²	—	4	1	no	—
1562	C₂²	—	4	1	no	—
1563	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1564	C₄	—	2	1	no	—
1565	C₄	—	2	1	no	—
1566	C₄	—	2	1	no	—
1567	C₄	—	2	1	no	—
1568	C₄	—	2	1	no	—
1569	C₄	—	2	1	no	—
1570	C₄	—	2	1	no	—
1571	C₄	—	2	1	no	—
1572	C₄	—	2	1	no	—
1573	C₄	—	2	1	no	—
1574	C₄	—	2	1	no	—
1575	C₄	—	2	1	no	—
1576	C₄	—	2	1	no	—
1577	C₄	—	2	2	no	—
1578	C₄	—	4	1	no	—
1579	C₄	—	4	1	no	—
1580	C₄	—	4	1	no	—
1581	C₄	—	4	1	no	—
1582	C₄	—	4	1	no	—
1583	C₄	—	4	1	no	—
1584	C₄	—	4	1	no	—
1585	C₄	—	4	1	no	—
1586	C₄	—	4	1	no	—
1587	C₄	—	4	1	no	—
1588	C₄	—	4	1	no	—
1589	C₄	—	4	1	no	—
1590	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1591	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1592	C₂	—	4	1	no	—
1593	C₂	—	4	2	no	—
1594	C₂	—	8	1	no	—
1595	C₂	—	8	1	no	—
1596	C₂	C₇×#3486	1	1	yes	characteristic
1597	C₂	C₇×#3585	1	1	yes	characteristic
1598	C₂	C₇×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
prime radical	C₇×#3119	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×#3503	C₂	semidirect
3. C₇×#3390	C₂	semidirect
4. C₇×#3389	C₂	semidirect
5. C₇×#3388	C₂	semidirect
6. C₇×#3388	C₂	semidirect
7. C₇×#3387	C₂	semidirect
8. C₇×#3386	C₂	semidirect
9. C₇×#3385	C₂	semidirect
10. C₇×#3384	C₂	semidirect
11. C₇×#3377	C₂	semidirect
12. C₇×#3376	C₂	semidirect
13. C₇×#3375	C₂	semidirect
14. C₇×#3373	C₂	semidirect
15. C₇×#3371	C₂	semidirect
16. C₇×#3370	C₂	semidirect
17. C₇×#3369	C₂	semidirect
18. C₇×#3367	C₂	semidirect
19. C₇×#3244	C₂	semidirect
20. C₇×#3243	C₂	semidirect
21. C₇×#3242	C₂	semidirect
22. C₇×#3241	C₂	semidirect
23. C₇×#3239	C₂	semidirect
24. C₇×#3238	C₂	semidirect
25. C₇×#3125	C₂	semidirect
26. C₇×#3124	C₂	semidirect
27. C₇×#3120	C₂	semidirect
29. C₇×#3111	C₂	semidirect
30. C₇×#3111	C₂	semidirect
31. C₇×#2987	C₂	semidirect
203. #61879	C₇	direct (N × H)
479. #3557	C₂×C₇	semidirect
480. #3503	C₂×C₇	semidirect
481. #3390	C₂×C₇	semidirect
482. #3389	C₂×C₇	semidirect
483. #3388	C₂×C₇	semidirect
484. #3388	C₂×C₇	semidirect
485. #3387	C₂×C₇	semidirect
486. #3386	C₂×C₇	semidirect
487. #3385	C₂×C₇	semidirect
488. #3384	C₂×C₇	semidirect
489. #3377	C₂×C₇	semidirect
490. #3376	C₂×C₇	semidirect
491. #3375	C₂×C₇	semidirect
492. #3373	C₂×C₇	semidirect
493. #3371	C₂×C₇	semidirect
494. #3370	C₂×C₇	semidirect
495. #3369	C₂×C₇	semidirect
496. #3367	C₂×C₇	semidirect
497. #3244	C₂×C₇	semidirect
498. #3243	C₂×C₇	semidirect
499. #3242	C₂×C₇	semidirect
500. #3241	C₂×C₇	semidirect
501. #3239	C₂×C₇	semidirect
502. #3238	C₂×C₇	semidirect
503. #3125	C₂×C₇	semidirect
504. #3124	C₂×C₇	semidirect
505. #3120	C₂×C₇	semidirect
507. #3111	C₂×C₇	semidirect
508. #3111	C₂×C₇	semidirect
509. #2987	C₂×C₇	semidirect
1550. C₇	#61879	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×#3503	2
C₇×#3390	2
C₇×#3389	2
C₇×#3388	2
C₇×#3387	2
C₇×#3386	2
C₇×#3385	2
C₇×#3384	2
C₇×#3377	2
C₇×#3376	2
C₇×#3375	2
C₇×#3373	2
C₇×#3371	2
C₇×#3370	2
C₇×#3369	2
C₇×#3367	2
C₇×#3244	2
C₇×#3243	2
C₇×#3242	2
C₇×#3241	2
C₇×#3239	2
C₇×#3238	2
C₇×#3125	2
C₇×#3124	2
C₇×#3120	2
C₇×#3119	2
C₇×#3111	2
C₇×#2987	2
#61879	7

Subgroups — C7×#61879 #13239095

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61879 #13239095