Subgroups — C₇×#61867 #13239083

Order 1792.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1586 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×#3504	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×#3383	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3381	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×#3377	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3376	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3371	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3370	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3365	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3364	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×#3232	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#3232	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×#3102	C₂	1	1	yes	maximal, characteristic, complemented
30	C₇×#3102	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇×#2986	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×#557	C₂²	1	1	yes	characteristic
37	C₇×#557	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	—	2	1	no	—
47	C₇×#554	—	2	1	no	—
48	C₇×#554	C₂²	1	1	yes	characteristic
49	C₇×#554	C₂²	1	1	yes	characteristic
50	C₇×#554	C₂²	1	1	yes	characteristic
51	C₇×#554	C₂²	1	1	yes	characteristic
52	C₇×#554	C₂²	1	1	yes	characteristic
53	C₇×#554	C₂²	1	1	yes	characteristic
54	C₇×#552	—	2	1	no	—
55	C₇×#552	—	2	1	no	—
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	C₇×#529	C₂²	1	1	yes	characteristic
71	C₇×#529	C₂²	1	1	yes	characteristic
72	C₂×C₇×#125	—	2	1	no	—
73	C₂×C₇×#125	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×#500	C₂²	1	1	yes	characteristic
82	C₇×#499	C₂²	1	1	yes	characteristic
83	C₇×#499	C₂²	1	1	yes	characteristic
84	C₇×#499	C₂²	1	1	yes	characteristic
85	C₇×#499	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×#488	C₂²	1	1	yes	characteristic
94	C₇×#488	C₂²	1	1	yes	characteristic
95	C₇×#488	C₂²	1	1	yes	characteristic
96	C₇×#488	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×#479	C₂²	1	1	yes	characteristic
122	C₇×#479	C₂²	1	1	yes	characteristic
123	C₇×#479	C₂²	1	1	yes	characteristic
124	C₇×#479	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×#478	C₂²	1	1	yes	characteristic
130	C₇×#478	C₂²	1	1	yes	characteristic
131	C₇×#478	C₂²	1	1	yes	characteristic
132	C₇×#478	C₂²	1	1	yes	characteristic
133	C₇×#478	C₂²	1	1	yes	characteristic
134	C₇×#478	C₂²	1	1	yes	characteristic
135	C₇×#478	C₂²	1	1	yes	characteristic
136	C₇×#478	C₂²	1	1	yes	characteristic
137	C₇×#477	C₂²	1	1	yes	characteristic
138	C₇×#477	C₂²	1	1	yes	characteristic
139	C₇×#477	C₂²	1	1	yes	characteristic
140	C₇×#476	C₂²	1	1	yes	characteristic
141	C₇×#476	C₂²	1	1	yes	characteristic
142	C₇×#476	C₂²	1	1	yes	characteristic
143	C₇×#475	C₂²	1	1	yes	characteristic
144	C₇×#475	C₂²	1	1	yes	characteristic
145	C₇×#475	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×C₈×Q₈	C₂²	1	1	yes	characteristic
170	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic
171	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic
172	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic
173	C₇×#442	C₂²	1	1	yes	characteristic
174	C₇×#442	C₂²	1	1	yes	characteristic
175	C₇×#441	C₂²	1	1	yes	characteristic
176	C₇×#441	C₂²	1	1	yes	characteristic
177	C₇×#440	C₂²	1	1	yes	characteristic
178	C₇×#440	C₂²	1	1	yes	characteristic
179	C₇×#440	C₂²	1	1	yes	characteristic
180	C₇×#440	C₂²	1	1	yes	characteristic
181	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic
182	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic
183	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic
184	C₄×C₇×Q₁₆	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×SD₁₆	C₂²	1	1	yes	characteristic
192	C₄×C₇×SD₁₆	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×#431	C₂²	1	1	yes	characteristic
202	C₇×#431	C₂²	1	1	yes	characteristic
203	#61867	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
204	C₂×C₇×#41	C₂³	1	1	yes	characteristic
205	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
206	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
207	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
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×D₈	C₂³	1	1	yes	characteristic
212	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
213	C₇×C₄⋊Q₈	—	2	1	no	—
214	C₇×C₄⋊Q₈	—	2	1	no	—
215	C₇×C₄⋊Q₈	—	2	1	no	—
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	D₄	1	1	yes	characteristic
222	C₇×C₄⋊Q₈	D₄	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×#127	C₂³	1	1	yes	characteristic
231	C₇×#126	—	2	1	no	—
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×#125	—	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	—	2	1	no	—
251	C₇×#125	—	2	1	no	—
252	C₇×#125	—	2	1	no	—
253	C₇×#125	—	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	D₄	1	1	yes	characteristic
260	C₇×#125	D₄	1	1	yes	characteristic
261	C₇×#125	C₂³	1	1	yes	characteristic
262	C₇×#125	C₂³	1	1	yes	characteristic
263	C₇×#125	C₂³	1	1	yes	characteristic
264	C₇×#125	C₂³	1	1	yes	characteristic
265	C₇×#125	C₂³	1	1	yes	characteristic
266	C₇×#125	C₂³	1	1	yes	characteristic
267	C₇×#125	C₂³	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×#124	—	2	1	no	—
274	C₇×#124	—	2	1	no	—
275	C₇×#124	—	2	1	no	—
276	C₇×#124	—	2	1	no	—
277	C₇×#124	C₂³	1	1	yes	characteristic
278	C₇×#124	C₂³	1	1	yes	characteristic
279	C₇×#124	C₂³	1	1	yes	characteristic
280	C₇×#124	C₂³	1	1	yes	characteristic
281	C₇×#123	—	2	1	no	—
282	C₇×#123	—	2	1	no	—
283	C₇×#123	—	2	1	no	—
284	C₇×#123	—	2	1	no	—
285	C₇×#123	—	2	1	no	—
286	C₇×#123	—	2	1	no	—
287	C₇×#123	—	2	1	no	—
288	C₇×#123	—	2	1	no	—
289	C₇×#123	—	2	1	no	—
290	C₇×#123	—	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	D₄	1	1	yes	characteristic
318	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
319	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
320	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
321	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
322	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
323	C₇×#121	—	2	1	no	—
324	C₇×#121	—	2	1	no	—
325	C₇×#121	C₂³	1	1	yes	characteristic
326	C₇×#121	C₂³	1	1	yes	characteristic
327	C₄×C₇×Q₈	—	2	1	no	—
328	C₄×C₇×Q₈	—	2	1	no	—
329	C₄×C₇×Q₈	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
334	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
335	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
336	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
337	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
338	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
339	C₄×C₇×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×D₄	—	2	1	no	—
350	C₄×C₇×D₄	—	2	1	no	—
351	C₄×C₇×D₄	—	2	1	no	—
352	C₄×C₇×D₄	—	2	1	no	—
353	C₄×C₇×D₄	—	2	1	no	—
354	C₄×C₇×D₄	—	2	1	no	—
355	C₄×C₇×D₄	—	2	1	no	—
356	C₄×C₇×D₄	—	2	1	no	—
357	C₄×C₇×D₄	—	2	1	no	—
358	C₄×C₇×D₄	—	2	1	no	—
359	C₄×C₇×D₄	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	C₇×#117	—	2	1	no	—
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	—	2	1	no	—
377	C₇×#117	—	2	1	no	—
378	C₇×#117	C₂³	1	1	yes	characteristic
379	C₇×#117	C₂³	1	1	yes	characteristic
380	C₇×#117	C₂³	1	1	yes	characteristic
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	—	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	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
472	C₄×C₇×C₈	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	#3504	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	#3383	C₂×C₇	1	1	yes	characteristic, complemented
486	#3381	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	#3377	C₂×C₇	1	1	yes	characteristic, complemented
490	#3376	C₂×C₇	1	1	yes	characteristic, complemented
491	#3371	C₂×C₇	1	1	yes	characteristic, complemented
492	#3370	C₂×C₇	1	1	yes	characteristic, complemented
493	#3365	C₂×C₇	1	1	yes	characteristic, complemented
494	#3364	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	#3232	C₂×C₇	1	1	yes	characteristic, complemented
502	#3232	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	#3102	C₂×C₇	1	1	yes	characteristic, complemented
508	#3102	C₂×C₇	1	1	yes	characteristic, complemented
509	#2986	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	C₂×D₄	1	1	yes	characteristic
519	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
520	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
521	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
522	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
525	C₂×C₇×D₄	—	2	1	no	—
526	C₂×C₇×D₄	—	2	1	no	—
527	C₂×C₇×D₄	—	2	1	no	—
528	C₂×C₇×D₄	—	2	1	no	—
529	C₂×C₇×D₄	—	2	1	no	—
530	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
531	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
532	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₇	—	2	1	no	—
534	C₂²×C₄×C₇	—	2	1	no	—
535	C₂²×C₄×C₇	—	2	1	no	—
536	C₂²×C₄×C₇	—	2	1	no	—
537	C₂²×C₄×C₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
549	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
550	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
551	C₇×Q₁₆	—	2	2	no	—
552	C₇×Q₁₆	—	2	2	no	—
553	C₇×SD₁₆	—	2	2	no	—
554	C₇×SD₁₆	—	2	2	no	—
555	C₇×SD₁₆	—	2	2	no	—
556	C₇×SD₁₆	—	2	2	no	—
557	C₇×D₈	—	2	2	no	—
558	C₇×D₈	—	2	2	no	—
559	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
560	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
561	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
562	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
563	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
564	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
565	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
566	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
567	C₇×C₄⋊C₄	—	2	1	no	—
568	C₇×C₄⋊C₄	—	2	1	no	—
569	C₇×C₄⋊C₄	—	2	1	no	—
570	C₇×C₄⋊C₄	—	2	1	no	—
571	C₇×C₄⋊C₄	—	2	1	no	—
572	C₇×C₄⋊C₄	—	2	1	no	—
573	C₇×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
667	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
668	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₄²×C₇	—	2	1	no	—
671	C₄²×C₇	—	2	1	no	—
672	C₄²×C₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
684	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
685	C₄²×C₇	C₂⁴	1	1	yes	characteristic
686	C₄²×C₇	C₂⁴	1	1	yes	characteristic
687	C₄²×C₇	C₂⁴	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	#563	—	2	1	no	—
692	#563	—	2	1	no	—
693	#559	C₂²×C₇	1	1	yes	characteristic
694	#559	C₂²×C₇	1	1	yes	characteristic
695	#557	C₂²×C₇	1	1	yes	characteristic
696	#557	C₂²×C₇	1	1	yes	characteristic
697	#557	C₂²×C₇	1	1	yes	characteristic
698	#557	C₂²×C₇	1	1	yes	characteristic
699	#557	C₂²×C₇	1	1	yes	characteristic
700	#557	C₂²×C₇	1	1	yes	characteristic
701	#556	C₂²×C₇	1	1	yes	characteristic
702	#556	C₂²×C₇	1	1	yes	characteristic
703	#554	—	2	1	no	—
704	#554	—	2	1	no	—
705	#554	—	2	1	no	—
706	#554	—	2	1	no	—
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
712	#554	C₂²×C₇	1	1	yes	characteristic
713	#552	—	2	1	no	—
714	#552	—	2	1	no	—
715	#544	—	2	1	no	—
716	#544	—	2	1	no	—
717	#544	C₂²×C₇	1	1	yes	characteristic
718	#544	C₂²×C₇	1	1	yes	characteristic
719	#542	—	2	1	no	—
720	#542	—	2	1	no	—
721	#542	C₂²×C₇	1	1	yes	characteristic
722	#542	C₂²×C₇	1	1	yes	characteristic
723	#541	C₂²×C₇	1	1	yes	characteristic
724	#540	C₂²×C₇	1	1	yes	characteristic
725	#539	—	2	1	no	—
726	#539	—	2	1	no	—
727	#533	—	2	1	no	—
728	#533	C₂²×C₇	1	1	yes	characteristic
729	#529	C₂²×C₇	1	1	yes	characteristic
730	#529	C₂²×C₇	1	1	yes	characteristic
731	C₂×#125	—	2	1	no	—
732	C₂×#125	C₂²×C₇	1	1	yes	characteristic
733	#520	C₂²×C₇	1	1	yes	characteristic
734	#520	C₂²×C₇	1	1	yes	characteristic
735	C₄×#41	C₂²×C₇	1	1	yes	characteristic
736	#501	C₂²×C₇	1	1	yes	characteristic
737	#501	C₂²×C₇	1	1	yes	characteristic
738	#501	C₂²×C₇	1	1	yes	characteristic
739	#501	C₂²×C₇	1	1	yes	characteristic
740	#500	C₂²×C₇	1	1	yes	characteristic
741	#499	C₂²×C₇	1	1	yes	characteristic
742	#499	C₂²×C₇	1	1	yes	characteristic
743	#499	C₂²×C₇	1	1	yes	characteristic
744	#499	C₂²×C₇	1	1	yes	characteristic
745	#499	C₂²×C₇	1	1	yes	characteristic
746	#499	C₂²×C₇	1	1	yes	characteristic
747	#498	C₂²×C₇	1	1	yes	characteristic
748	#491	C₂²×C₇	1	1	yes	characteristic
749	#490	C₂²×C₇	1	1	yes	characteristic
750	#489	C₂²×C₇	1	1	yes	characteristic
751	#489	C₂²×C₇	1	1	yes	characteristic
752	#488	C₂²×C₇	1	1	yes	characteristic
753	#488	C₂²×C₇	1	1	yes	characteristic
754	#488	C₂²×C₇	1	1	yes	characteristic
755	#488	C₂²×C₇	1	1	yes	characteristic
756	#488	C₂²×C₇	1	1	yes	characteristic
757	#488	C₂²×C₇	1	1	yes	characteristic
758	#487	C₂²×C₇	1	1	yes	characteristic
759	#486	C₂²×C₇	1	1	yes	characteristic
760	#485	C₂²×C₇	1	1	yes	characteristic
761	#485	C₂²×C₇	1	1	yes	characteristic
762	#484	C₂²×C₇	1	1	yes	characteristic
763	#484	C₂²×C₇	1	1	yes	characteristic
764	#483	C₂²×C₇	1	1	yes	characteristic
765	#483	C₂²×C₇	1	1	yes	characteristic
766	#482	C₂²×C₇	1	1	yes	characteristic
767	#482	C₂²×C₇	1	1	yes	characteristic
768	#481	C₂²×C₇	1	1	yes	characteristic
769	#481	C₂²×C₇	1	1	yes	characteristic
770	#480	C₂²×C₇	1	1	yes	characteristic
771	#480	C₂²×C₇	1	1	yes	characteristic
772	#479	C₂²×C₇	1	1	yes	characteristic
773	#479	C₂²×C₇	1	1	yes	characteristic
774	#479	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	#479	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	#478	C₂²×C₇	1	1	yes	characteristic
792	#478	C₂²×C₇	1	1	yes	characteristic
793	#478	C₂²×C₇	1	1	yes	characteristic
794	#478	C₂²×C₇	1	1	yes	characteristic
795	#478	C₂²×C₇	1	1	yes	characteristic
796	#477	C₂²×C₇	1	1	yes	characteristic
797	#477	C₂²×C₇	1	1	yes	characteristic
798	#477	C₂²×C₇	1	1	yes	characteristic
799	#476	C₂²×C₇	1	1	yes	characteristic
800	#476	C₂²×C₇	1	1	yes	characteristic
801	#476	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	#474	C₂²×C₇	1	1	yes	characteristic
806	#474	C₂²×C₇	1	1	yes	characteristic
807	#474	C₂²×C₇	1	1	yes	characteristic
808	#464	C₂²×C₇	1	1	yes	characteristic
809	#464	C₂²×C₇	1	1	yes	characteristic
810	#464	C₂²×C₇	1	1	yes	characteristic
811	#464	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	#462	C₂²×C₇	1	1	yes	characteristic
817	#461	C₂²×C₇	1	1	yes	characteristic
818	#460	C₂²×C₇	1	1	yes	characteristic
819	#459	C₂²×C₇	1	1	yes	characteristic
820	#452	C₂²×C₇	1	1	yes	characteristic
821	#452	C₂²×C₇	1	1	yes	characteristic
822	#449	C₂²×C₇	1	1	yes	characteristic
823	#449	C₂²×C₇	1	1	yes	characteristic
824	#446	C₂²×C₇	1	1	yes	characteristic
825	#446	C₂²×C₇	1	1	yes	characteristic
826	#446	C₂²×C₇	1	1	yes	characteristic
827	#446	C₂²×C₇	1	1	yes	characteristic
828	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic
829	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic
830	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic
831	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic
832	#442	C₂²×C₇	1	1	yes	characteristic
833	#442	C₂²×C₇	1	1	yes	characteristic
834	#441	C₂²×C₇	1	1	yes	characteristic
835	#441	C₂²×C₇	1	1	yes	characteristic
836	#440	C₂²×C₇	1	1	yes	characteristic
837	#440	C₂²×C₇	1	1	yes	characteristic
838	#440	C₂²×C₇	1	1	yes	characteristic
839	#440	C₂²×C₇	1	1	yes	characteristic
840	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic
841	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic
842	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic
843	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic
844	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
845	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
846	C₄×SD₁₆	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×D₈	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	#433	C₂²×C₇	1	1	yes	characteristic
857	#433	C₂²×C₇	1	1	yes	characteristic
858	#433	C₂²×C₇	1	1	yes	characteristic
859	#433	C₂²×C₇	1	1	yes	characteristic
860	#431	C₂²×C₇	1	1	yes	characteristic
861	#431	C₂²×C₇	1	1	yes	characteristic
862	C₂³×C₇	—	2	1	no	—
863	C₂³×C₇	—	2	1	no	—
864	C₂³×C₇	—	2	1	no	—
865	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
866	C₇×Q₈	—	2	1	no	—
867	C₇×Q₈	—	2	1	no	—
868	C₇×Q₈	—	2	1	no	—
869	C₇×Q₈	—	2	1	no	—
870	C₇×Q₈	—	2	1	no	—
871	C₇×Q₈	—	4	1	no	—
872	C₇×Q₈	—	4	1	no	—
873	C₇×Q₈	—	4	1	no	—
874	C₇×Q₈	—	4	1	no	—
875	C₇×Q₈	—	8	1	no	—
876	C₇×Q₈	—	8	1	no	—
877	C₇×Q₈	—	8	1	no	—
878	C₇×Q₈	—	8	1	no	—
879	C₇×Q₈	—	8	1	no	—
880	C₇×Q₈	—	8	1	no	—
881	C₇×Q₈	2₋¹⁺⁴	1	2	yes	—
882	C₇×D₄	—	2	4	no	—
883	C₇×D₄	—	2	1	no	—
884	C₇×D₄	—	2	1	no	—
885	C₇×D₄	—	2	1	no	—
886	C₇×D₄	—	2	1	no	—
887	C₇×D₄	—	2	1	no	—
888	C₇×D₄	—	8	1	no	—
889	C₇×D₄	—	8	1	no	—
890	C₇×D₄	—	8	1	no	—
891	C₇×D₄	—	8	1	no	—
892	C₇×D₄	2₋¹⁺⁴	1	2	yes	—
893	C₂×C₄×C₇	—	2	4	no	—
894	C₂×C₄×C₇	—	2	1	no	—
895	C₂×C₄×C₇	—	2	1	no	—
896	C₂×C₄×C₇	—	2	1	no	—
897	C₂×C₄×C₇	—	2	1	no	—
898	C₂×C₄×C₇	—	2	1	no	—
899	C₂×C₄×C₇	—	2	1	no	—
900	C₂×C₄×C₇	—	2	1	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	—	4	1	no	—
910	C₂×C₄×C₇	—	4	1	no	—
911	C₂×C₄×C₇	—	8	1	no	—
912	C₂×C₄×C₇	—	8	1	no	—
913	C₂×C₄×C₇	—	8	1	no	—
914	C₂×C₄×C₇	—	8	1	no	—
915	C₂×C₄×C₇	—	8	1	no	—
916	C₂×C₄×C₇	—	8	1	no	—
917	C₂×C₄×C₇	—	8	1	no	—
918	C₂×C₄×C₇	—	8	1	no	—
919	C₂×C₄×C₇	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
926	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
927	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
928	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
929	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
930	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
931	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
939	C₇×C₈	—	2	1	no	—
940	C₇×C₈	—	2	1	no	—
941	C₇×C₈	—	2	1	no	—
942	C₇×C₈	—	2	1	no	—
943	C₇×C₈	—	2	1	no	—
944	C₇×C₈	—	2	1	no	—
945	C₇×C₈	—	2	1	no	—
946	C₇×C₈	—	2	1	no	—
947	C₂×#41	C₂³×C₇	1	1	yes	characteristic
948	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
949	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
950	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
951	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
952	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
953	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
954	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
955	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
956	C₄⋊Q₈	—	2	1	no	—
957	C₄⋊Q₈	—	2	1	no	—
958	C₄⋊Q₈	—	2	1	no	—
959	C₄⋊Q₈	—	2	1	no	—
960	C₄⋊Q₈	—	2	1	no	—
961	C₄⋊Q₈	—	2	1	no	—
962	C₄⋊Q₈	—	2	1	no	—
963	C₄⋊Q₈	—	2	1	no	—
964	C₄⋊Q₈	C₇×D₄	1	1	yes	characteristic
965	C₄⋊Q₈	C₇×D₄	1	1	yes	characteristic
966	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
967	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
968	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
969	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
970	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
971	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
972	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
973	#127	C₂³×C₇	1	1	yes	characteristic
974	#126	—	2	1	no	—
975	#126	—	2	1	no	—
976	#126	—	2	1	no	—
977	#126	—	2	1	no	—
978	#126	—	2	1	no	—
979	#126	—	2	1	no	—
980	#126	—	2	1	no	—
981	#126	—	2	1	no	—
982	#126	—	2	1	no	—
983	#126	—	2	1	no	—
984	#125	—	2	1	no	—
985	#125	—	2	1	no	—
986	#125	—	2	1	no	—
987	#125	—	2	1	no	—
988	#125	—	2	1	no	—
989	#125	—	2	1	no	—
990	#125	—	2	1	no	—
991	#125	—	2	1	no	—
992	#125	—	2	1	no	—
993	#125	—	2	1	no	—
994	#125	—	2	1	no	—
995	#125	—	2	1	no	—
996	#125	—	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	C₇×D₄	1	1	yes	characteristic
1003	#125	C₇×D₄	1	1	yes	characteristic
1004	#125	C₂³×C₇	1	1	yes	characteristic
1005	#125	C₂³×C₇	1	1	yes	characteristic
1006	#125	C₂³×C₇	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	#124	—	2	1	no	—
1017	#124	—	2	1	no	—
1018	#124	—	2	1	no	—
1019	#124	—	2	1	no	—
1020	#124	C₂³×C₇	1	1	yes	characteristic
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	#123	—	2	1	no	—
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	C₂²⋊Q₈	—	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	C₇×D₄	1	1	yes	characteristic
1061	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
1062	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
1063	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
1064	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1065	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1066	#121	—	2	1	no	—
1067	#121	—	2	1	no	—
1068	#121	C₂³×C₇	1	1	yes	characteristic
1069	#121	C₂³×C₇	1	1	yes	characteristic
1070	C₄×Q₈	—	2	1	no	—
1071	C₄×Q₈	—	2	1	no	—
1072	C₄×Q₈	—	2	1	no	—
1073	C₄×Q₈	—	2	1	no	—
1074	C₄×Q₈	—	2	1	no	—
1075	C₄×Q₈	—	2	1	no	—
1076	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1077	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1078	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1079	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1080	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1081	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1082	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1083	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1084	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1085	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
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×D₄	—	2	1	no	—
1093	C₄×D₄	—	2	1	no	—
1094	C₄×D₄	—	2	1	no	—
1095	C₄×D₄	—	2	1	no	—
1096	C₄×D₄	—	2	1	no	—
1097	C₄×D₄	—	2	1	no	—
1098	C₄×D₄	—	2	1	no	—
1099	C₄×D₄	—	2	1	no	—
1100	C₄×D₄	—	2	1	no	—
1101	C₄×D₄	—	2	1	no	—
1102	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1103	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1104	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1105	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1106	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1107	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1108	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
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	#117	—	2	1	no	—
1115	#117	—	2	1	no	—
1116	#117	—	2	1	no	—
1117	#117	—	2	1	no	—
1118	#117	—	2	1	no	—
1119	#117	—	2	1	no	—
1120	#117	—	2	1	no	—
1121	#117	C₂³×C₇	1	1	yes	characteristic
1122	#117	C₂³×C₇	1	1	yes	characteristic
1123	#117	C₂³×C₇	1	1	yes	characteristic
1124	C₂×C₄⋊C₄	—	2	1	no	—
1125	C₂×C₄⋊C₄	—	2	1	no	—
1126	C₂×C₄⋊C₄	—	2	1	no	—
1127	C₂×C₄⋊C₄	—	2	1	no	—
1128	C₂×C₄⋊C₄	—	2	1	no	—
1129	C₂×C₄⋊C₄	—	2	1	no	—
1130	C₂×C₄⋊C₄	—	2	1	no	—
1131	C₂×C₄⋊C₄	—	2	1	no	—
1132	C₂×C₄⋊C₄	—	2	1	no	—
1133	C₂×C₄⋊C₄	—	2	1	no	—
1134	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1135	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1136	C₂×C₄²	—	2	1	no	—
1137	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1138	#107	C₂³×C₇	1	1	yes	characteristic
1139	#107	C₂³×C₇	1	1	yes	characteristic
1140	#107	C₂³×C₇	1	1	yes	characteristic
1141	#107	C₂³×C₇	1	1	yes	characteristic
1142	#107	C₂³×C₇	1	1	yes	characteristic
1143	#107	C₂³×C₇	1	1	yes	characteristic
1144	#107	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	#106	C₂³×C₇	1	1	yes	characteristic
1151	#106	C₂³×C₇	1	1	yes	characteristic
1152	#106	C₂³×C₇	1	1	yes	characteristic
1153	#106	C₂³×C₇	1	1	yes	characteristic
1154	#106	C₂³×C₇	1	1	yes	characteristic
1155	#106	C₂³×C₇	1	1	yes	characteristic
1156	#106	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	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1163	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1164	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1165	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1166	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1167	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1168	C₄⋊C₈	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	#103	C₂³×C₇	1	1	yes	characteristic
1175	#103	C₂³×C₇	1	1	yes	characteristic
1176	#103	C₂³×C₇	1	1	yes	characteristic
1177	#103	C₂³×C₇	1	1	yes	characteristic
1178	#103	C₂³×C₇	1	1	yes	characteristic
1179	#103	C₂³×C₇	1	1	yes	characteristic
1180	#103	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	#102	C₂³×C₇	1	1	yes	characteristic
1191	#102	C₂³×C₇	1	1	yes	characteristic
1192	#102	C₂³×C₇	1	1	yes	characteristic
1193	#102	C₂³×C₇	1	1	yes	characteristic
1194	#102	C₂³×C₇	1	1	yes	characteristic
1195	#102	C₂³×C₇	1	1	yes	characteristic
1196	#102	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	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1207	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1208	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1209	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1210	#97	C₂³×C₇	1	1	yes	characteristic
1211	#97	C₂³×C₇	1	1	yes	characteristic
1212	#97	C₂³×C₇	1	1	yes	characteristic
1213	#97	C₂³×C₇	1	1	yes	characteristic
1214	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1215	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1216	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1217	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1218	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1219	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1220	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1221	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1222	C₂²×C₇	—	2	1	no	—
1223	C₂²×C₇	—	2	1	no	—
1224	C₂²×C₇	—	2	1	no	—
1225	C₂²×C₇	—	2	2	no	—
1226	C₂²×C₇	—	4	1	no	—
1227	C₂²×C₇	—	4	1	no	—
1228	C₂²×C₇	—	4	1	no	—
1229	C₂²×C₇	—	4	1	no	—
1230	C₂²×C₇	—	4	1	no	—
1231	C₂²×C₇	—	4	1	no	—
1232	C₂²×C₇	—	4	1	no	—
1233	C₂²×C₇	—	4	1	no	—
1234	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1235	C₄×C₇	—	2	1	no	—
1236	C₄×C₇	—	2	1	no	—
1237	C₄×C₇	—	2	1	no	—
1238	C₄×C₇	—	2	1	no	—
1239	C₄×C₇	—	2	1	no	—
1240	C₄×C₇	—	2	1	no	—
1241	C₄×C₇	—	2	1	no	—
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	2	no	—
1249	C₄×C₇	—	4	1	no	—
1250	C₄×C₇	—	4	1	no	—
1251	C₄×C₇	—	4	1	no	—
1252	C₄×C₇	—	4	1	no	—
1253	C₄×C₇	—	4	1	no	—
1254	C₄×C₇	—	4	1	no	—
1255	C₄×C₇	—	4	1	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	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1262	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1263	#41	—	2	2	no	—
1264	#41	—	2	2	no	—
1265	C₂×Q₈	—	2	1	no	—
1266	C₂×Q₈	—	2	1	no	—
1267	C₂×Q₈	—	2	1	no	—
1268	C₂×Q₈	—	2	1	no	—
1269	C₂×Q₈	—	2	1	no	—
1270	C₂×Q₈	—	2	1	no	—
1271	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1272	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1273	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1274	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1275	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1276	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1277	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1278	C₂×D₄	—	2	1	no	—
1279	C₂×D₄	—	2	1	no	—
1280	C₂×D₄	—	2	1	no	—
1281	C₂×D₄	—	2	1	no	—
1282	C₂×D₄	—	2	1	no	—
1283	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1284	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1285	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1286	C₂²×C₄	—	2	1	no	—
1287	C₂²×C₄	—	2	1	no	—
1288	C₂²×C₄	—	2	1	no	—
1289	C₂²×C₄	—	2	1	no	—
1290	C₂²×C₄	—	2	1	no	—
1291	C₂²×C₄	—	2	1	no	—
1292	C₂²×C₄	—	2	1	no	—
1293	C₂²×C₄	—	2	1	no	—
1294	C₂²×C₄	—	2	1	no	—
1295	C₂²×C₄	—	2	1	no	—
1296	C₂²×C₄	—	2	1	no	—
1297	C₂²×C₄	—	2	1	no	—
1298	C₂²×C₄	—	2	1	no	—
1299	C₂²×C₄	—	2	1	no	—
1300	C₂²×C₄	—	2	1	no	—
1301	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1302	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1303	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1304	Q₁₆	—	2	2	no	—
1305	Q₁₆	—	2	2	no	—
1306	SD₁₆	—	2	2	no	—
1307	SD₁₆	—	2	2	no	—
1308	SD₁₆	—	2	2	no	—
1309	SD₁₆	—	2	2	no	—
1310	D₈	—	2	2	no	—
1311	D₈	—	2	2	no	—
1312	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1313	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1314	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1315	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1316	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1317	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1318	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1319	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1320	C₄⋊C₄	—	2	1	no	—
1321	C₄⋊C₄	—	2	1	no	—
1322	C₄⋊C₄	—	2	1	no	—
1323	C₄⋊C₄	—	2	1	no	—
1324	C₄⋊C₄	—	2	1	no	—
1325	C₄⋊C₄	—	2	1	no	—
1326	C₄⋊C₄	—	2	1	no	—
1327	C₄⋊C₄	—	2	1	no	—
1328	C₄⋊C₄	—	2	1	no	—
1329	C₄⋊C₄	—	2	1	no	—
1330	C₄⋊C₄	—	2	1	no	—
1331	C₄⋊C₄	—	2	1	no	—
1332	C₄⋊C₄	—	2	1	no	—
1333	C₄⋊C₄	—	2	1	no	—
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	C₂×C₇×D₄	1	1	yes	characteristic
1369	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1370	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1371	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1372	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1373	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1374	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1375	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1376	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1377	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
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	C₂⁴×C₇	1	1	yes	characteristic
1385	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1386	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1387	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1388	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1389	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1390	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1391	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1392	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1393	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1394	C₂²⋊C₄	—	2	1	no	—
1395	C₂²⋊C₄	—	2	1	no	—
1396	C₂²⋊C₄	—	2	1	no	—
1397	C₂²⋊C₄	—	2	1	no	—
1398	C₂²⋊C₄	—	2	1	no	—
1399	C₂²⋊C₄	—	2	1	no	—
1400	C₂²⋊C₄	—	2	1	no	—
1401	C₂²⋊C₄	—	2	1	no	—
1402	C₂²⋊C₄	—	2	1	no	—
1403	C₂²⋊C₄	—	2	1	no	—
1404	C₂²⋊C₄	—	2	1	no	—
1405	C₂²⋊C₄	—	2	1	no	—
1406	C₂²⋊C₄	—	2	1	no	—
1407	C₂²⋊C₄	—	2	1	no	—
1408	C₂²⋊C₄	—	2	1	no	—
1409	C₂²⋊C₄	—	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	C₂×C₇×D₄	1	1	yes	characteristic
1420	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1421	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1422	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1423	C₄²	—	2	1	no	—
1424	C₄²	—	2	1	no	—
1425	C₄²	—	2	1	no	—
1426	C₄²	—	2	1	no	—
1427	C₄²	—	2	1	no	—
1428	C₄²	—	2	1	no	—
1429	C₄²	—	2	1	no	—
1430	C₄²	—	2	1	no	—
1431	C₄²	—	2	1	no	—
1432	C₄²	—	2	1	no	—
1433	C₄²	—	2	1	no	—
1434	C₄²	—	2	1	no	—
1435	C₄²	—	2	1	no	—
1436	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1437	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1438	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1439	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1440	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1441	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1442	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1443	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1444	C₂×C₇	—	4	1	no	—
1445	C₂×C₇	—	4	2	no	—
1446	C₂×C₇	—	8	1	no	—
1447	C₂×C₇	—	8	1	no	—
1448	C₂×C₇	#3486	1	1	yes	characteristic
1449	C₂×C₇	#3584	1	1	yes	characteristic
1450	C₂×C₇	#3584	1	1	yes	characteristic
1451	C₂³	—	2	1	no	—
1452	C₂³	—	2	1	no	—
1453	C₂³	—	2	1	no	—
1454	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1455	Q₈	—	2	1	no	—
1456	Q₈	—	2	1	no	—
1457	Q₈	—	2	1	no	—
1458	Q₈	—	2	1	no	—
1459	Q₈	—	2	1	no	—
1460	Q₈	—	4	1	no	—
1461	Q₈	—	4	1	no	—
1462	Q₈	—	4	1	no	—
1463	Q₈	—	4	1	no	—
1464	Q₈	—	8	1	no	—
1465	Q₈	—	8	1	no	—
1466	Q₈	—	8	1	no	—
1467	Q₈	—	8	1	no	—
1468	Q₈	—	8	1	no	—
1469	Q₈	—	8	1	no	—
1470	Q₈	C₇×2₋¹⁺⁴	1	2	yes	—
1471	D₄	—	2	4	no	—
1472	D₄	—	2	1	no	—
1473	D₄	—	2	1	no	—
1474	D₄	—	2	1	no	—
1475	D₄	—	2	1	no	—
1476	D₄	—	2	1	no	—
1477	D₄	—	8	1	no	—
1478	D₄	—	8	1	no	—
1479	D₄	—	8	1	no	—
1480	D₄	—	8	1	no	—
1481	D₄	C₇×2₋¹⁺⁴	1	2	yes	—
1482	C₂×C₄	—	2	4	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	4	1	no	—
1499	C₂×C₄	—	4	1	no	—
1500	C₂×C₄	—	8	1	no	—
1501	C₂×C₄	—	8	1	no	—
1502	C₂×C₄	—	8	1	no	—
1503	C₂×C₄	—	8	1	no	—
1504	C₂×C₄	—	8	1	no	—
1505	C₂×C₄	—	8	1	no	—
1506	C₂×C₄	—	8	1	no	—
1507	C₂×C₄	—	8	1	no	—
1508	C₂×C₄	—	8	1	no	—
1509	C₂×C₄	—	8	1	no	—
1510	C₂×C₄	—	8	1	no	—
1511	C₂×C₄	—	8	1	no	—
1512	C₂×C₄	—	8	1	no	—
1513	C₂×C₄	—	8	1	no	—
1514	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1515	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1516	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1517	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1518	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1519	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1520	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1521	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1522	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1523	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1524	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1525	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1526	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1527	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1528	C₈	—	2	1	no	—
1529	C₈	—	2	1	no	—
1530	C₈	—	2	1	no	—
1531	C₈	—	2	1	no	—
1532	C₈	—	2	1	no	—
1533	C₈	—	2	1	no	—
1534	C₈	—	2	1	no	—
1535	C₈	—	2	1	no	—
1536	C₇	#61867	1	1	yes	characteristic, direct product factor, Sylow
1537	C₂²	—	2	1	no	—
1538	C₂²	—	2	1	no	—
1539	C₂²	—	2	1	no	—
1540	C₂²	—	2	2	no	—
1541	C₂²	—	4	1	no	—
1542	C₂²	—	4	1	no	—
1543	C₂²	—	4	1	no	—
1544	C₂²	—	4	1	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	4	1	no	—
1547	C₂²	—	4	1	no	—
1548	C₂²	—	4	1	no	—
1549	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1550	C₄	—	2	1	no	—
1551	C₄	—	2	1	no	—
1552	C₄	—	2	1	no	—
1553	C₄	—	2	1	no	—
1554	C₄	—	2	1	no	—
1555	C₄	—	2	1	no	—
1556	C₄	—	2	1	no	—
1557	C₄	—	2	1	no	—
1558	C₄	—	2	1	no	—
1559	C₄	—	2	1	no	—
1560	C₄	—	2	1	no	—
1561	C₄	—	2	1	no	—
1562	C₄	—	2	1	no	—
1563	C₄	—	2	2	no	—
1564	C₄	—	4	1	no	—
1565	C₄	—	4	1	no	—
1566	C₄	—	4	1	no	—
1567	C₄	—	4	1	no	—
1568	C₄	—	4	1	no	—
1569	C₄	—	4	1	no	—
1570	C₄	—	4	1	no	—
1571	C₄	—	4	1	no	—
1572	C₄	—	4	1	no	—
1573	C₄	—	4	1	no	—
1574	C₄	—	4	1	no	—
1575	C₄	—	4	1	no	—
1576	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1577	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1578	C₂	—	4	1	no	—
1579	C₂	—	4	2	no	—
1580	C₂	—	8	1	no	—
1581	C₂	—	8	1	no	—
1582	C₂	C₇×#3486	1	1	yes	characteristic
1583	C₂	C₇×#3584	1	1	yes	characteristic
1584	C₂	C₇×#3584	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×#3504	C₂	semidirect
3. C₇×#3390	C₂	semidirect
4. C₇×#3389	C₂	semidirect
5. C₇×#3388	C₂	semidirect
6. C₇×#3388	C₂	semidirect
7. C₇×#3383	C₂	semidirect
8. C₇×#3381	C₂	semidirect
9. C₇×#3381	C₂	semidirect
10. C₇×#3380	C₂	semidirect
11. C₇×#3377	C₂	semidirect
12. C₇×#3376	C₂	semidirect
13. C₇×#3371	C₂	semidirect
14. C₇×#3370	C₂	semidirect
15. C₇×#3365	C₂	semidirect
16. C₇×#3364	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×#3232	C₂	semidirect
24. C₇×#3232	C₂	semidirect
25. C₇×#3125	C₂	semidirect
26. C₇×#3124	C₂	semidirect
27. C₇×#3120	C₂	semidirect
29. C₇×#3102	C₂	semidirect
30. C₇×#3102	C₂	semidirect
31. C₇×#2986	C₂	semidirect
203. #61867	C₇	direct (N × H)
479. #3557	C₂×C₇	semidirect
480. #3504	C₂×C₇	semidirect
481. #3390	C₂×C₇	semidirect
482. #3389	C₂×C₇	semidirect
483. #3388	C₂×C₇	semidirect
484. #3388	C₂×C₇	semidirect
485. #3383	C₂×C₇	semidirect
486. #3381	C₂×C₇	semidirect
487. #3381	C₂×C₇	semidirect
488. #3380	C₂×C₇	semidirect
489. #3377	C₂×C₇	semidirect
490. #3376	C₂×C₇	semidirect
491. #3371	C₂×C₇	semidirect
492. #3370	C₂×C₇	semidirect
493. #3365	C₂×C₇	semidirect
494. #3364	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. #3232	C₂×C₇	semidirect
502. #3232	C₂×C₇	semidirect
503. #3125	C₂×C₇	semidirect
504. #3124	C₂×C₇	semidirect
505. #3120	C₂×C₇	semidirect
507. #3102	C₂×C₇	semidirect
508. #3102	C₂×C₇	semidirect
509. #2986	C₂×C₇	semidirect
1536. C₇	#61867	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×#3504	2
C₇×#3390	2
C₇×#3389	2
C₇×#3388	2
C₇×#3383	2
C₇×#3381	2
C₇×#3380	2
C₇×#3377	2
C₇×#3376	2
C₇×#3371	2
C₇×#3370	2
C₇×#3365	2
C₇×#3364	2
C₇×#3361	2
C₇×#3360	2
C₇×#3244	2
C₇×#3243	2
C₇×#3242	2
C₇×#3241	2
C₇×#3232	2
C₇×#3125	2
C₇×#3124	2
C₇×#3120	2
C₇×#3119	2
C₇×#3102	2
C₇×#2986	2
#61867	7

Subgroups — C7×#61867 #13239083

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61867 #13239083