Subgroups — C₂×#11743524 #14261805

Order 1792.

7910 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#539	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743524	C₂	1	32	yes	maximal, direct product factor
3	C₂×#90396	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#90398	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#90393	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#90397	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#90384	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#90383	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#90381	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#90379	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#90350	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#90349	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#90346	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#90346	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#90345	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#90341	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#90353	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#90347	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#90328	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#90324	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×D₇×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#90327	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#90323	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#90331	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#90301	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#90289	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#90238	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×C₄×D₄×D₇	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#90255	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#90237	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂²×#6459	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#90195	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×Q₈×D₇	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#1159	C₂²	1	1	yes	characteristic
35	C₂²×#1159	C₂²	1	1	yes	characteristic, complemented
36	C₂²×D₄×D₇	C₂²	1	1	yes	characteristic
37	C₂²×#1157	C₂²	1	1	yes	characteristic
38	C₂²×#1157	C₂²	1	1	yes	characteristic, complemented
39	C₂³×C₄×D₇	C₂²	1	1	yes	characteristic
40	C₂³×C₄×D₇	C₂²	1	1	yes	characteristic
41	C₂³×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
42	C₇×#539	C₂²	1	16	yes	complemented
43	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₇×#123	C₂²	1	1	yes	characteristic
48	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₇×#121	C₂²	1	1	yes	characteristic
55	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
56	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
58	C₂×#6510	C₂²	1	1	yes	characteristic, complemented
59	C₂×#6509	C₂²	1	1	yes	characteristic
60	C₂×#6507	C₂²	1	1	yes	characteristic, complemented
61	C₂×#6502	C₂²	1	1	yes	characteristic
62	C₂×#6502	C₂²	1	1	yes	characteristic
63	C₂×#6502	C₂²	1	1	yes	characteristic, complemented
64	C₂×#6500	C₂²	1	1	yes	characteristic
65	C₂×#6500	C₂²	1	1	yes	characteristic
66	C₂×#6499	C₂²	1	1	yes	characteristic, complemented
67	C₂×#6498	C₂²	1	1	yes	characteristic
68	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic
69	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
70	C₂×#6492	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
72	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
73	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
74	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
75	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
78	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
79	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
80	C₂×#6489	C₂²	1	1	yes	characteristic, complemented
81	C₂×#6487	C₂²	1	1	yes	characteristic, complemented
82	C₂²×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
83	C₂²×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
84	C₂²×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
85	#90398	C₂²	1	16	yes	complemented
86	#90397	C₂²	1	16	yes	complemented
87	#90396	C₂²	1	16	yes	complemented
88	#90393	C₂²	1	16	yes	complemented
89	#90384	C₂²	1	16	yes	complemented
90	#90383	C₂²	1	16	yes	complemented
91	#90381	C₂²	1	16	yes	complemented
92	#90379	C₂²	1	16	yes	complemented
93	#90353	C₂²	1	16	yes	complemented
94	#90350	C₂²	1	16	yes	complemented
95	#90349	C₂²	1	16	yes	complemented
96	#90347	C₂²	1	16	yes	complemented
97	#90346	C₂²	1	16	yes	complemented
98	#90346	C₂²	1	16	yes	complemented
99	#90345	C₂²	1	16	yes	complemented
100	#90341	C₂²	1	16	yes	complemented
101	#90331	C₂²	1	16	yes	complemented
102	#90328	C₂²	1	16	yes	complemented
103	#90327	C₂²	1	16	yes	complemented
104	#90324	C₂²	1	16	yes	complemented
105	#90323	C₂²	1	16	yes	complemented
106	D₇×C₂²⋊Q₈	C₂²	1	16	yes	complemented
107	#90301	C₂²	1	16	yes	complemented
108	#90289	C₂²	1	16	yes	complemented
109	#90255	C₂²	1	16	yes	complemented
110	#90238	C₂²	1	16	yes	complemented
111	#90237	C₂²	1	16	yes	complemented
112	C₄×D₄×D₇	C₂²	1	16	yes	complemented
113	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
114	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
115	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
116	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
117	C₂×#6460	C₂²	1	1	yes	characteristic
118	C₂×#6460	C₂²	1	1	yes	characteristic, complemented
119	C₂×#6460	C₂²	1	1	yes	characteristic, complemented
120	C₂×#6459	C₂²	1	1	yes	characteristic
121	C₂×#6459	C₂²	1	1	yes	characteristic
122	C₂×#6459	C₂²	1	1	yes	characteristic
123	C₂×#6459	C₂²	1	1	yes	characteristic
124	C₂×#6459	C₂²	1	1	yes	characteristic
125	C₂×#6459	C₂²	1	1	yes	characteristic
126	C₂×#6459	C₂²	1	1	yes	characteristic
127	C₂×#6459	C₂²	1	16	yes	complemented
128	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
129	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
130	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
131	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
132	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
133	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
134	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
135	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
136	C₂×#6458	C₂²	1	1	yes	characteristic
137	C₂×#6457	C₂²	1	1	yes	characteristic
138	C₂×#6457	C₂²	1	1	yes	characteristic
139	C₂×#6457	C₂²	1	1	yes	characteristic
140	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
141	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
142	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
143	#90195	C₂²	1	16	yes	complemented
144	C₂×#6456	C₂²	1	1	yes	characteristic
145	C₂×#6456	C₂²	1	1	yes	characteristic
146	C₂×#6456	C₂²	1	1	yes	characteristic
147	C₂×#6456	C₂²	1	1	yes	characteristic, complemented
148	C₂×#6456	C₂²	1	1	yes	characteristic, complemented
149	C₂×#6455	C₂²	1	1	yes	characteristic
150	C₂×#6455	C₂²	1	1	yes	characteristic
151	C₂×#6455	C₂²	1	1	yes	characteristic, complemented
152	C₂×#6455	C₂²	1	1	yes	characteristic, complemented
153	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
154	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
155	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
157	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
158	C₂×#6453	C₂²	1	1	yes	characteristic, complemented
159	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
160	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
161	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
162	C₂×#6451	C₂²	1	1	yes	characteristic, complemented
163	C₂×#6451	C₂²	1	1	yes	characteristic, complemented
164	C₂×#6451	C₂²	1	1	yes	characteristic, complemented
165	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
166	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
167	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
168	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
169	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
170	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
171	C₂×#6449	C₂²	1	1	yes	characteristic, complemented
172	C₂×#6449	C₂²	1	1	yes	characteristic, complemented
173	C₂×#6448	C₂²	1	1	yes	characteristic
174	C₂×#6448	C₂²	1	1	yes	characteristic
175	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
176	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
177	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
178	C₂×#6447	C₂²	1	1	yes	characteristic
179	C₂×#6447	C₂²	1	1	yes	characteristic
180	C₂×#6447	C₂²	1	1	yes	characteristic
181	C₂×#6447	C₂²	1	1	yes	characteristic, complemented
182	C₂×#6446	C₂²	1	1	yes	characteristic
183	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
184	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
185	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
186	C₂×#6445	C₂²	1	1	yes	characteristic
187	C₂×#6445	C₂²	1	1	yes	characteristic
188	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
189	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
190	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
191	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
192	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
193	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
194	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
195	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
196	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
197	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
198	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
199	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
200	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
201	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
202	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
203	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
204	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
205	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
206	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
207	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
208	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
209	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
210	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
211	C₂×#6439	C₂²	1	1	yes	characteristic, complemented
212	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic
213	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic
214	C₂×#6435	C₂²	1	1	yes	characteristic, complemented
215	C₂×#6435	C₂²	1	1	yes	characteristic, complemented
216	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
217	C₂×#6433	C₂²	1	1	yes	characteristic, complemented
218	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
219	C₂×#3520	—	7	1	no	maximal, Sylow
220	C₂⁴×D₇	C₂³	1	1	yes	characteristic
221	C₂⁴×D₇	C₂³	1	1	yes	characteristic
222	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
223	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
224	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
225	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
227	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
228	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
229	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
230	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
231	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
232	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
233	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
234	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
235	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
236	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
237	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
238	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
239	C₂³×Dic₇	C₂³	1	1	yes	characteristic
240	C₂³×Dic₇	C₂³	1	1	yes	characteristic
241	C₂³×Dic₇	C₂³	1	1	yes	characteristic
242	C₂³×Dic₇	C₂³	1	1	yes	characteristic
243	C₂³×Dic₇	C₂³	1	1	yes	characteristic
244	C₂³×Dic₇	C₂³	1	1	yes	characteristic
245	C₂×Q₈×D₇	—	4	4	no	—
246	C₂×Q₈×D₇	C₂³	1	8	yes	complemented
247	C₂×#1159	—	2	8	no	—
248	C₂×#1159	—	4	4	no	—
249	C₂×#1159	C₂³	1	8	yes	—
250	C₂×#1159	C₂³	1	8	yes	complemented
251	C₂×D₄×D₇	—	2	8	no	—
252	C₂×D₄×D₇	C₂³	1	8	yes	—
253	C₂×#1157	—	2	8	no	—
254	C₂×#1157	—	4	4	no	—
255	C₂×#1157	C₂³	1	8	yes	—
256	C₂×#1157	C₂³	1	8	yes	complemented
257	C₂²×D₂₈	C₂³	1	1	yes	characteristic
258	C₂²×D₂₈	C₂³	1	1	yes	characteristic
259	C₂²×D₂₈	C₂³	1	1	yes	characteristic
260	C₂²×D₂₈	C₂³	1	1	yes	characteristic
261	C₂²×C₄×D₇	—	4	4	no	—
262	C₂²×C₄×D₇	—	4	4	no	—
263	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
264	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
265	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
266	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
267	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
268	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
269	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
270	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
271	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
272	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
273	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
274	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
275	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
276	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
277	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
278	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
279	C₂²×C₄×D₇	C₂³	1	8	yes	—
280	C₂²×C₄×D₇	C₂³	1	8	yes	—
281	C₂²×Dic₁₄	—	4	4	no	—
282	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
283	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
284	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
285	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
286	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
287	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
288	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
289	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
290	C₂²×Dic₁₄	C₂³	1	8	yes	complemented
291	C₇×#126	C₂³	1	8	yes	complemented
292	C₇×#126	C₂³	1	8	yes	complemented
293	C₇×#125	C₂³	1	8	yes	complemented
294	C₇×#125	C₂³	1	8	yes	complemented
295	C₇×#123	C₂³	1	8	yes	—
296	C₇×#123	C₂³	1	8	yes	complemented
297	C₇×#123	C₂³	1	8	yes	complemented
298	C₇×#123	C₂³	1	8	yes	complemented
299	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
300	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
301	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
302	C₇×#121	C₂³	1	8	yes	—
303	C₄×C₇×D₄	C₂³	1	8	yes	—
304	C₄×C₇×D₄	C₂³	1	8	yes	complemented
305	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
320	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
340	#6510	C₂³	1	8	yes	complemented
341	#6509	C₂³	1	8	yes	—
342	#6507	C₂³	1	8	yes	complemented
343	#6502	C₂³	1	8	yes	—
344	#6502	C₂³	1	8	yes	—
345	#6502	C₂³	1	8	yes	complemented
346	#6500	C₂³	1	8	yes	—
347	#6500	C₂³	1	8	yes	—
348	#6499	C₂³	1	8	yes	complemented
349	#6498	C₂³	1	8	yes	—
350	D₄×Dic₇	C₂³	1	8	yes	—
351	D₄×Dic₇	C₂³	1	8	yes	complemented
352	#6492	C₂³	1	8	yes	complemented
353	C₄×C₂²⋊D₇	C₂³	1	8	yes	—
354	C₄×C₂²⋊D₇	C₂³	1	8	yes	—
355	C₄×C₂²⋊D₇	C₂³	1	8	yes	—
356	C₄×C₂²⋊D₇	C₂³	1	8	yes	—
357	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
358	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
359	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
360	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
361	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
362	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
363	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
364	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
365	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
366	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
367	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
368	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
369	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
370	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
371	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
372	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
373	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
374	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
375	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
376	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
377	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
378	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
379	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
380	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
381	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
382	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
383	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
384	C₂×(C₂×D₇)⋊C₄	C₂³	1	8	yes	—
385	C₂×(C₂×D₇)⋊C₄	C₂³	1	8	yes	—
386	#6489	C₂³	1	8	yes	complemented
387	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
389	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
394	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
395	#6487	C₂³	1	8	yes	complemented
396	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
397	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
398	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
399	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
400	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
401	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
402	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
403	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
404	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
405	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
406	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
407	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
408	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
409	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
410	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
411	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
412	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
413	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
414	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
415	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
416	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
417	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
418	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
419	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
420	C₂×Dic₇⋊C₄	C₂³	1	8	yes	complemented
421	C₂×Dic₇⋊C₄	C₂³	1	8	yes	complemented
422	C₂×Dic₇⋊C₄	C₂³	1	8	yes	complemented
423	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
424	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
425	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
426	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
427	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
428	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
429	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
430	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
431	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
432	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
433	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
434	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
435	#6461	C₂³	1	8	yes	complemented
436	#6461	C₂³	1	8	yes	complemented
437	#6461	C₂³	1	8	yes	complemented
438	#6461	C₂³	1	8	yes	complemented
439	#6460	C₂³	1	8	yes	—
440	#6460	C₂³	1	8	yes	complemented
441	#6460	C₂³	1	8	yes	complemented
442	#6459	C₂³	1	8	yes	—
443	#6459	C₂³	1	8	yes	—
444	#6459	C₂³	1	8	yes	—
445	#6459	C₂³	1	8	yes	—
446	#6459	C₂³	1	8	yes	—
447	#6459	C₂³	1	8	yes	—
448	#6459	C₂³	1	8	yes	—
449	#6459	C₂³	1	8	yes	complemented
450	#6459	C₂³	1	8	yes	complemented
451	#6459	C₂³	1	8	yes	complemented
452	#6459	C₂³	1	8	yes	complemented
453	#6459	C₂³	1	8	yes	complemented
454	#6459	C₂³	1	8	yes	complemented
455	#6459	C₂³	1	8	yes	complemented
456	#6459	C₂³	1	8	yes	complemented
457	#6458	C₂³	1	8	yes	—
458	#6457	C₂³	1	8	yes	—
459	#6457	C₂³	1	8	yes	—
460	#6457	C₂³	1	8	yes	—
461	#6457	C₂³	1	8	yes	complemented
462	#6457	C₂³	1	8	yes	complemented
463	#6457	C₂³	1	8	yes	complemented
464	#6456	C₂³	1	8	yes	—
465	#6456	C₂³	1	8	yes	—
466	#6456	C₂³	1	8	yes	—
467	#6456	C₂³	1	8	yes	complemented
468	#6456	C₂³	1	8	yes	complemented
469	#6455	C₂³	1	8	yes	—
470	#6455	C₂³	1	8	yes	—
471	#6455	C₂³	1	8	yes	complemented
472	#6455	C₂³	1	8	yes	complemented
473	D₇×C₄⋊C₄	C₂³	1	8	yes	—
474	D₇×C₄⋊C₄	C₂³	1	8	yes	complemented
475	D₇×C₄⋊C₄	C₂³	1	8	yes	complemented
476	D₇×C₄⋊C₄	C₂³	1	8	yes	complemented
477	D₇×C₄⋊C₄	C₂³	1	8	yes	complemented
478	#6453	C₂³	1	8	yes	complemented
479	#6452	C₂³	1	8	yes	complemented
480	#6452	C₂³	1	8	yes	complemented
481	#6452	C₂³	1	8	yes	complemented
482	#6451	C₂³	1	8	yes	complemented
483	#6451	C₂³	1	8	yes	complemented
484	#6451	C₂³	1	8	yes	complemented
485	#6450	C₂³	1	8	yes	complemented
486	#6450	C₂³	1	8	yes	complemented
487	#6450	C₂³	1	8	yes	complemented
488	#6450	C₂³	1	8	yes	complemented
489	#6450	C₂³	1	8	yes	complemented
490	#6450	C₂³	1	8	yes	complemented
491	#6449	C₂³	1	8	yes	complemented
492	#6449	C₂³	1	8	yes	complemented
493	#6448	C₂³	1	8	yes	—
494	#6448	C₂³	1	8	yes	—
495	#6448	C₂³	1	8	yes	complemented
496	#6448	C₂³	1	8	yes	complemented
497	#6448	C₂³	1	8	yes	complemented
498	#6447	C₂³	1	8	yes	—
499	#6447	C₂³	1	8	yes	—
500	#6447	C₂³	1	8	yes	—
501	#6447	C₂³	1	8	yes	complemented
502	#6446	C₂³	1	8	yes	—
503	#6446	C₂³	1	8	yes	complemented
504	#6446	C₂³	1	8	yes	complemented
505	#6446	C₂³	1	8	yes	complemented
506	#6445	C₂³	1	8	yes	—
507	#6445	C₂³	1	8	yes	—
508	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
509	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
510	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
511	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
512	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
513	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
514	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
515	D₇×C₂²⋊C₄	C₂³	1	8	yes	—
516	D₇×C₂²⋊C₄	C₂³	1	8	yes	—
517	D₇×C₂²⋊C₄	C₂³	1	8	yes	—
518	D₇×C₂²⋊C₄	C₂³	1	8	yes	—
519	#6442	C₂³	1	8	yes	complemented
520	#6442	C₂³	1	8	yes	complemented
521	#6442	C₂³	1	8	yes	complemented
522	#6441	C₂³	1	8	yes	complemented
523	#6441	C₂³	1	8	yes	complemented
524	#6441	C₂³	1	8	yes	complemented
525	#6441	C₂³	1	8	yes	complemented
526	#6441	C₂³	1	8	yes	complemented
527	#6441	C₂³	1	8	yes	complemented
528	#6440	C₂³	1	8	yes	complemented
529	#6440	C₂³	1	8	yes	complemented
530	#6440	C₂³	1	8	yes	complemented
531	#6439	C₂³	1	8	yes	complemented
532	C₄×D₂₈	C₂³	1	8	yes	—
533	C₄×D₂₈	C₂³	1	8	yes	—
534	#6435	C₂³	1	8	yes	complemented
535	#6435	C₂³	1	8	yes	complemented
536	C₄²×D₇	C₂³	1	8	yes	—
537	#6433	C₂³	1	8	yes	complemented
538	C₄×Dic₁₄	C₂³	1	8	yes	complemented
539	#3520	—	7	32	no	—
540	C₂×#556	—	7	1	no	—
541	C₂×#554	—	7	1	no	—
542	C₂×#554	—	7	1	no	—
543	C₂×#552	—	7	1	no	—
544	C₂×#552	—	7	1	no	—
545	C₂×#551	—	7	1	no	—
546	C₂×#551	—	7	1	no	—
547	C₂×#551	—	7	1	no	—
548	C₂×#551	—	7	1	no	—
549	C₂×D₄×Q₈	—	7	1	no	—
550	C₂×#548	—	7	1	no	—
551	C₂×#548	—	7	1	no	—
552	C₂×#547	—	7	1	no	—
553	C₂×#547	—	7	1	no	—
554	C₂×#546	—	7	1	no	—
555	C₂×#546	—	7	1	no	—
556	C₂×#542	—	7	1	no	—
557	C₂×#542	—	7	1	no	—
558	C₂×#539	—	7	1	no	—
559	C₂×#539	—	7	1	no	—
560	C₂×#539	—	7	1	no	—
561	C₂×#539	D₇	1	1	yes	characteristic, complemented
562	C₂×#533	—	7	1	no	—
563	C₂×#529	—	7	1	no	—
564	C₂×#525	—	7	1	no	—
565	C₂×#525	—	7	1	no	—
566	C₂²×C₂²⋊Q₈	—	7	1	no	—
567	C₂²×C₂²⋊Q₈	—	7	1	no	—
568	C₂×#520	—	7	1	no	—
569	C₂×#520	—	7	1	no	—
570	C₂²×C₄×D₄	—	7	1	no	—
571	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
572	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
573	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
574	C₂³×D₇	—	2	4	no	—
575	C₂³×D₇	—	2	4	no	—
576	C₂³×D₇	—	2	4	no	—
577	C₂³×D₇	—	2	4	no	—
578	C₂³×D₇	—	4	2	no	—
579	C₂³×D₇	—	4	2	no	—
580	C₂³×D₇	C₂⁴	1	1	yes	characteristic
581	C₂³×D₇	C₂⁴	1	1	yes	characteristic
582	C₂³×D₇	C₂⁴	1	4	yes	—
583	C₂³×D₇	C₂⁴	1	4	yes	—
584	C₂³×D₇	C₂⁴	1	1	yes	characteristic
585	C₂³×D₇	C₂⁴	1	1	yes	characteristic
586	C₂×C₇×Q₈	—	4	2	no	—
587	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
588	C₂×C₇×D₄	—	2	4	no	—
589	C₂×C₇×D₄	—	2	4	no	—
590	C₂×C₇×D₄	—	4	2	no	—
591	C₂×C₇×D₄	C₂⁴	1	4	yes	—
592	C₂×C₇×D₄	C₂⁴	1	4	yes	—
593	C₂×C₇×D₄	C₂⁴	1	4	yes	—
594	C₂²×C₄×C₇	—	2	4	no	—
595	C₂²×C₄×C₇	—	4	2	no	—
596	C₂²×C₄×C₇	—	4	2	no	—
597	C₂²×C₄×C₇	—	4	2	no	—
598	C₂²×C₄×C₇	—	4	2	no	—
599	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
600	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
601	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
602	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
603	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
604	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
605	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
606	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
607	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
608	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
609	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
610	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
611	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
612	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
613	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
614	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
615	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
616	C₂×C₂²⋊D₇	—	2	4	no	—
617	C₂×C₂²⋊D₇	—	2	4	no	—
618	C₂×C₂²⋊D₇	—	2	4	no	—
619	C₂×C₂²⋊D₇	—	2	4	no	—
620	C₂×C₂²⋊D₇	—	2	4	no	—
621	C₂×C₂²⋊D₇	—	4	2	no	—
622	C₂×C₂²⋊D₇	—	4	2	no	—
623	C₂×C₂²⋊D₇	#41	1	8	yes	complemented
624	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
625	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
626	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
627	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
628	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
629	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
630	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
631	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
632	C₂²×Dic₇	—	2	4	no	—
633	C₂²×Dic₇	—	2	4	no	—
634	C₂²×Dic₇	—	2	4	no	—
635	C₂²×Dic₇	—	2	4	no	—
636	C₂²×Dic₇	—	4	2	no	—
637	C₂²×Dic₇	—	4	2	no	—
638	C₂²×Dic₇	C₂⁴	1	4	yes	—
639	C₂²×Dic₇	C₂⁴	1	4	yes	—
640	C₂²×Dic₇	C₂⁴	1	4	yes	—
641	C₂²×Dic₇	C₂⁴	1	4	yes	—
642	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
643	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
644	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
645	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
646	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
647	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
648	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
649	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
650	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
651	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
652	C₂²×Dic₇	C₂⁴	1	4	yes	—
653	C₂²×Dic₇	C₂⁴	1	4	yes	—
654	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
655	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
656	Q₈×D₇	—	4	16	no	—
657	#1159	—	2	32	no	—
658	#1159	—	4	16	no	—
659	D₄×D₇	—	2	32	no	—
660	#1157	—	2	32	no	—
661	#1157	—	4	16	no	—
662	C₂×D₂₈	—	2	4	no	—
663	C₂×D₂₈	—	2	4	no	—
664	C₂×D₂₈	—	2	4	no	—
665	C₂×D₂₈	—	4	2	no	—
666	C₂×D₂₈	C₂⁴	1	4	yes	—
667	C₂×D₂₈	C₂⁴	1	4	yes	—
668	C₂×D₂₈	C₂⁴	1	4	yes	—
669	C₂×D₂₈	C₂⁴	1	4	yes	—
670	C₂×C₄×D₇	—	2	4	no	—
671	C₂×C₄×D₇	—	2	4	no	—
672	C₂×C₄×D₇	—	2	4	no	—
673	C₂×C₄×D₇	—	2	4	no	—
674	C₂×C₄×D₇	—	2	4	no	—
675	C₂×C₄×D₇	—	2	4	no	—
676	C₂×C₄×D₇	—	2	4	no	—
677	C₂×C₄×D₇	—	2	4	no	—
678	C₂×C₄×D₇	—	4	16	no	—
679	C₂×C₄×D₇	—	4	16	no	—
680	C₂×C₄×D₇	—	4	2	no	—
681	C₂×C₄×D₇	—	4	2	no	—
682	C₂×C₄×D₇	—	4	2	no	—
683	C₂×C₄×D₇	—	4	2	no	—
684	C₂×C₄×D₇	—	4	2	no	—
685	C₂×C₄×D₇	—	4	2	no	—
686	C₂×C₄×D₇	—	4	2	no	—
687	C₂×C₄×D₇	—	4	2	no	—
688	C₂×C₄×D₇	C₂⁴	1	4	yes	—
689	C₂×C₄×D₇	C₂⁴	1	4	yes	—
690	C₂×C₄×D₇	C₂⁴	1	4	yes	—
691	C₂×C₄×D₇	C₂⁴	1	4	yes	—
692	C₂×C₄×D₇	C₂⁴	1	4	yes	—
693	C₂×C₄×D₇	C₂⁴	1	4	yes	—
694	C₂×C₄×D₇	C₂⁴	1	4	yes	—
695	C₂×C₄×D₇	C₂⁴	1	4	yes	—
696	C₂×C₄×D₇	C₂⁴	1	4	yes	—
697	C₂×C₄×D₇	C₂⁴	1	4	yes	—
698	C₂×C₄×D₇	C₂⁴	1	4	yes	—
699	C₂×C₄×D₇	C₂⁴	1	4	yes	—
700	C₂×C₄×D₇	C₂⁴	1	4	yes	—
701	C₂×C₄×D₇	C₂⁴	1	4	yes	—
702	C₂×C₄×D₇	C₂⁴	1	4	yes	—
703	C₂×C₄×D₇	C₂⁴	1	4	yes	—
704	C₂×Dic₁₄	—	2	4	no	—
705	C₂×Dic₁₄	—	2	4	no	—
706	C₂×Dic₁₄	—	2	4	no	—
707	C₂×Dic₁₄	—	2	4	no	—
708	C₂×Dic₁₄	—	2	4	no	—
709	C₂×Dic₁₄	—	4	16	no	—
710	C₂×Dic₁₄	—	4	2	no	—
711	C₂×Dic₁₄	—	4	2	no	—
712	C₂×Dic₁₄	—	4	2	no	—
713	C₂×Dic₁₄	C₂⁴	1	4	yes	—
714	C₂×Dic₁₄	C₂⁴	1	4	yes	—
715	C₂×Dic₁₄	C₂⁴	1	4	yes	—
716	C₂×Dic₁₄	C₂⁴	1	4	yes	—
717	C₂×Dic₁₄	C₂⁴	1	4	yes	—
718	C₂×Dic₁₄	C₂⁴	1	4	yes	—
719	C₂×Dic₁₄	C₂⁴	1	4	yes	—
720	C₂×Dic₁₄	C₂⁴	1	4	yes	—
721	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
722	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
723	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
724	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
725	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
726	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
727	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
728	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
729	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
730	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
731	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
732	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
733	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
734	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
735	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
736	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
737	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
738	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
739	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
740	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
741	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
742	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
743	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
744	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
745	C₄²×C₇	C₂⁴	1	4	yes	—
746	C₄²×C₇	C₂⁴	1	4	yes	—
747	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
748	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
749	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
750	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
751	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
752	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
753	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
754	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
755	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
756	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
757	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
758	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
759	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
760	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
761	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
762	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
763	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
764	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
765	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
766	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
767	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
768	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
769	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
770	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
771	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
772	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
773	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
774	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
775	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
776	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
777	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
778	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
779	C₄⋊Dic₇	C₂⁴	1	4	yes	—
780	C₄⋊Dic₇	C₂⁴	1	4	yes	—
781	C₄⋊Dic₇	C₂⁴	1	4	yes	—
782	C₄⋊Dic₇	C₂⁴	1	4	yes	—
783	C₄⋊Dic₇	C₂⁴	1	4	yes	—
784	C₄⋊Dic₇	C₂⁴	1	4	yes	—
785	C₄⋊Dic₇	C₂⁴	1	4	yes	—
786	C₄⋊Dic₇	C₂⁴	1	4	yes	—
787	Dic₇⋊C₄	C₂⁴	1	4	yes	—
788	Dic₇⋊C₄	C₂⁴	1	4	yes	—
789	Dic₇⋊C₄	C₂⁴	1	4	yes	—
790	Dic₇⋊C₄	C₂⁴	1	4	yes	—
791	Dic₇⋊C₄	C₂⁴	1	4	yes	—
792	Dic₇⋊C₄	C₂⁴	1	4	yes	—
793	Dic₇⋊C₄	C₂⁴	1	4	yes	—
794	Dic₇⋊C₄	C₂⁴	1	4	yes	—
795	Dic₇⋊C₄	C₂⁴	1	4	yes	—
796	Dic₇⋊C₄	C₂⁴	1	4	yes	—
797	Dic₇⋊C₄	C₂⁴	1	4	yes	—
798	Dic₇⋊C₄	C₂⁴	1	4	yes	—
799	Dic₇⋊C₄	C₂⁴	1	4	yes	—
800	Dic₇⋊C₄	C₂⁴	1	4	yes	—
801	Dic₇⋊C₄	C₂⁴	1	4	yes	—
802	Dic₇⋊C₄	C₂⁴	1	4	yes	—
803	Dic₇⋊C₄	C₂⁴	1	4	yes	—
804	Dic₇⋊C₄	C₂⁴	1	4	yes	—
805	Dic₇⋊C₄	C₂⁴	1	4	yes	—
806	Dic₇⋊C₄	C₂⁴	1	4	yes	—
807	Dic₇⋊C₄	C₂⁴	1	4	yes	—
808	Dic₇⋊C₄	C₂⁴	1	4	yes	—
809	Dic₇⋊C₄	C₂⁴	1	4	yes	—
810	Dic₇⋊C₄	C₂⁴	1	4	yes	—
811	C₄×Dic₇	C₂⁴	1	4	yes	—
812	C₄×Dic₇	C₂⁴	1	4	yes	—
813	C₄×Dic₇	C₂⁴	1	4	yes	—
814	C₄×Dic₇	C₂⁴	1	4	yes	—
815	C₄×Dic₇	C₂⁴	1	4	yes	—
816	C₄×Dic₇	C₂⁴	1	4	yes	—
817	C₄×Dic₇	C₂⁴	1	4	yes	—
818	C₄×Dic₇	C₂⁴	1	4	yes	—
819	C₄×Dic₇	C₂⁴	1	4	yes	—
820	C₄×Dic₇	C₂⁴	1	4	yes	—
821	C₄×Dic₇	C₂⁴	1	4	yes	—
822	C₄×Dic₇	C₂⁴	1	4	yes	—
823	C₂²×#41	—	7	1	no	—
824	C₂²×#41	—	7	1	no	—
825	C₂²×#41	—	7	1	no	—
826	C₂²×#41	—	7	1	no	—
827	C₂³×Q₈	—	7	1	no	—
828	C₂³×Q₈	—	7	1	no	—
829	C₂³×D₄	—	7	1	no	—
830	C₂⁴×C₄	—	7	1	no	—
831	C₂⁴×C₄	—	7	1	no	—
832	#556	—	7	16	no	—
833	#554	—	7	16	no	—
834	#554	—	7	16	no	—
835	#552	—	7	16	no	—
836	#552	—	7	16	no	—
837	#551	—	7	16	no	—
838	#551	—	7	16	no	—
839	#551	—	7	16	no	—
840	#551	—	7	16	no	—
841	D₄×Q₈	—	7	16	no	—
842	#548	—	7	16	no	—
843	#548	—	7	16	no	—
844	#547	—	7	16	no	—
845	#547	—	7	16	no	—
846	#546	—	7	16	no	—
847	#546	—	7	16	no	—
848	#542	—	7	16	no	—
849	#542	—	7	16	no	—
850	#539	—	7	16	no	—
851	#539	—	7	16	no	—
852	#539	—	7	16	no	—
853	#539	C₂×D₇	1	16	yes	complemented
854	#533	—	7	16	no	—
855	C₂×C₄⋊Q₈	—	7	1	no	—
856	C₂×C₄⋊Q₈	—	7	1	no	—
857	C₂×C₄⋊Q₈	—	7	1	no	—
858	C₂×C₄⋊Q₈	—	7	1	no	—
859	#529	—	7	16	no	—
860	C₂×#126	—	7	1	no	—
861	C₂×#126	—	7	1	no	—
862	C₂×#126	—	7	1	no	—
863	C₂×#126	—	7	1	no	—
864	C₂×#126	—	7	1	no	—
865	C₂×#126	—	7	1	no	—
866	C₂×#126	—	7	1	no	—
867	C₂×#126	—	7	1	no	—
868	C₂×#126	C₂×D₇	1	1	yes	characteristic, complemented
869	C₂×#126	C₂×D₇	1	1	yes	characteristic, complemented
870	C₂×#125	—	7	1	no	—
871	C₂×#125	—	7	1	no	—
872	C₂×#125	—	7	1	no	—
873	C₂×#125	—	7	1	no	—
874	C₂×#125	—	7	1	no	—
875	C₂×#125	C₂×D₇	1	1	yes	characteristic, complemented
876	C₂×#125	C₂×D₇	1	1	yes	characteristic, complemented
877	C₂×#124	—	7	1	no	—
878	C₂×#124	—	7	1	no	—
879	C₂×#124	—	7	1	no	—
880	C₂×#124	—	7	1	no	—
881	C₂×#124	—	7	1	no	—
882	C₂×#124	—	7	1	no	—
883	C₂×#124	—	7	1	no	—
884	#525	—	7	16	no	—
885	#525	—	7	16	no	—
886	C₂×#123	—	7	1	no	—
887	C₂×#123	—	7	1	no	—
888	C₂×#123	—	7	1	no	—
889	C₂×#123	—	7	1	no	—
890	C₂×#123	—	7	1	no	—
891	C₂×#123	—	7	1	no	—
892	C₂×#123	—	7	1	no	—
893	C₂×#123	—	7	1	no	—
894	C₂×#123	—	7	1	no	—
895	C₂×#123	—	7	1	no	—
896	C₂×#123	—	7	1	no	—
897	C₂×#123	—	7	1	no	—
898	C₂×#123	—	7	1	no	—
899	C₂×#123	—	7	1	no	—
900	C₂×#123	C₂×D₇	1	1	yes	characteristic
901	C₂×#123	C₂×D₇	1	1	yes	characteristic, complemented
902	C₂×#123	C₂×D₇	1	1	yes	characteristic, complemented
903	C₂×#123	C₂×D₇	1	1	yes	characteristic, complemented
904	C₂×C₂²⋊Q₈	—	7	1	no	—
905	C₂×C₂²⋊Q₈	—	7	1	no	—
906	C₂×C₂²⋊Q₈	—	7	16	no	—
907	C₂×C₂²⋊Q₈	—	7	1	no	—
908	C₂×C₂²⋊Q₈	—	7	1	no	—
909	C₂×C₂²⋊Q₈	—	7	1	no	—
910	C₂×C₂²⋊Q₈	—	7	1	no	—
911	C₂×C₂²⋊Q₈	—	7	1	no	—
912	C₂×C₂²⋊Q₈	—	7	1	no	—
913	C₂×C₂²⋊Q₈	—	7	1	no	—
914	C₂×C₂²⋊Q₈	—	7	1	no	—
915	C₂×C₂²⋊Q₈	—	7	1	no	—
916	C₂×C₂²⋊Q₈	—	7	1	no	—
917	C₂×C₂²⋊Q₈	—	7	1	no	—
918	C₂×C₂²⋊Q₈	—	7	1	no	—
919	C₂×C₂²⋊Q₈	—	7	1	no	—
920	C₂×C₂²⋊Q₈	—	7	1	no	—
921	C₂×C₂²⋊Q₈	—	7	1	no	—
922	C₂×C₂²⋊Q₈	—	7	1	no	—
923	C₂×C₂²⋊Q₈	—	7	1	no	—
924	C₂×C₂²⋊Q₈	—	7	1	no	—
925	C₂×C₂²⋊Q₈	—	7	16	no	—
926	C₂×C₂²⋊Q₈	—	7	1	no	—
927	C₂×C₂²⋊Q₈	—	7	1	no	—
928	C₂×C₂²⋊Q₈	—	7	1	no	—
929	C₂×C₂²⋊Q₈	—	7	1	no	—
930	C₂×C₂²⋊Q₈	—	7	1	no	—
931	C₂×C₂²⋊Q₈	—	7	1	no	—
932	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
933	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
934	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
935	C₂×#121	—	7	1	no	—
936	C₂×#121	—	7	1	no	—
937	C₂×#121	—	7	1	no	—
938	C₂×#121	—	7	1	no	—
939	C₂×#121	—	7	1	no	—
940	C₂×#121	—	7	1	no	—
941	C₂×#121	—	7	1	no	—
942	C₂×#121	—	7	1	no	—
943	C₂×#121	C₂×D₇	1	1	yes	characteristic
944	C₂×#120	—	7	1	no	—
945	C₂×#120	—	7	1	no	—
946	C₂×#120	—	7	1	no	—
947	C₂×#120	—	7	1	no	—
948	#520	—	7	16	no	—
949	#520	—	7	16	no	—
950	C₂×C₄×Q₈	—	7	1	no	—
951	C₂×C₄×Q₈	—	7	1	no	—
952	C₂×C₄×Q₈	—	7	1	no	—
953	C₂×C₄×Q₈	—	7	1	no	—
954	C₂×C₄×Q₈	—	7	1	no	—
955	C₂×C₄×Q₈	—	7	1	no	—
956	C₂×C₄×Q₈	—	7	1	no	—
957	C₂×C₄×D₄	—	7	1	no	—
958	C₂×C₄×D₄	—	7	1	no	—
959	C₂×C₄×D₄	—	7	1	no	—
960	C₂×C₄×D₄	—	7	1	no	—
961	C₂×C₄×D₄	—	7	1	no	—
962	C₂×C₄×D₄	—	7	1	no	—
963	C₂×C₄×D₄	—	7	1	no	—
964	C₂×C₄×D₄	—	7	1	no	—
965	C₂×C₄×D₄	—	7	1	no	—
966	C₂×C₄×D₄	—	7	16	no	—
967	C₂×C₄×D₄	—	7	1	no	—
968	C₂×C₄×D₄	—	7	1	no	—
969	C₂×C₄×D₄	—	7	1	no	—
970	C₂×C₄×D₄	—	7	1	no	—
971	C₂×C₄×D₄	—	7	1	no	—
972	C₂×C₄×D₄	—	7	1	no	—
973	C₂×C₄×D₄	—	7	1	no	—
974	C₂×C₄×D₄	—	7	1	no	—
975	C₂×C₄×D₄	—	7	1	no	—
976	C₂×C₄×D₄	—	7	1	no	—
977	C₂×C₄×D₄	—	7	1	no	—
978	C₂×C₄×D₄	—	7	1	no	—
979	C₂×C₄×D₄	—	7	1	no	—
980	C₂×C₄×D₄	—	7	1	no	—
981	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic
982	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic, complemented
983	C₂×#117	—	7	1	no	—
984	C₂×#117	—	7	1	no	—
985	C₂×#117	—	7	1	no	—
986	C₂×#117	—	7	1	no	—
987	C₂×#117	—	7	1	no	—
988	C₂×#117	—	7	1	no	—
989	C₂×#117	—	7	1	no	—
990	C₂×#117	—	7	1	no	—
991	C₂×#117	—	7	1	no	—
992	C₂×#117	—	7	1	no	—
993	C₂²×C₄⋊C₄	—	7	1	no	—
994	C₂²×C₄⋊C₄	—	7	1	no	—
995	C₂²×C₄⋊C₄	—	7	1	no	—
996	C₂²×C₄⋊C₄	—	7	1	no	—
997	C₂²×C₄⋊C₄	—	7	1	no	—
998	C₂²×C₄⋊C₄	—	7	1	no	—
999	C₂²×C₄⋊C₄	—	7	1	no	—
1000	C₂²×C₄⋊C₄	—	7	1	no	—
1001	C₂²×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic, complemented
1002	C₂²×C₂²⋊C₄	—	7	1	no	—
1003	C₂²×C₂²⋊C₄	—	7	1	no	—
1004	C₂²×C₂²⋊C₄	—	7	1	no	—
1005	C₂²×C₂²⋊C₄	—	7	1	no	—
1006	C₂²×C₂²⋊C₄	—	7	1	no	—
1007	C₂²×C₂²⋊C₄	—	7	1	no	—
1008	C₂²×C₄²	—	7	1	no	—
1009	C₂³×C₇	—	2	2	no	—
1010	C₂³×C₇	—	2	2	no	—
1011	C₂³×C₇	—	2	2	no	—
1012	C₂³×C₇	—	2	2	no	—
1013	C₂³×C₇	—	2	2	no	—
1014	C₂³×C₇	—	2	2	no	—
1015	C₂³×C₇	—	2	2	no	—
1016	C₂³×C₇	—	2	2	no	—
1017	C₂³×C₇	C₂×#41	1	4	yes	—
1018	C₂³×C₇	C₂⁵	1	2	yes	—
1019	C₂³×C₇	C₂⁵	1	2	yes	—
1020	C₂³×C₇	C₂⁵	1	2	yes	—
1021	C₂³×C₇	C₂⁵	1	1	yes	characteristic
1022	C₂²×D₇	—	2	2	no	—
1023	C₂²×D₇	—	2	2	no	—
1024	C₂²×D₇	—	2	2	no	—
1025	C₂²×D₇	—	2	2	no	—
1026	C₂²×D₇	—	2	2	no	—
1027	C₂²×D₇	—	2	2	no	—
1028	C₂²×D₇	—	2	8	no	—
1029	C₂²×D₇	—	2	2	no	—
1030	C₂²×D₇	—	2	2	no	—
1031	C₂²×D₇	—	2	2	no	—
1032	C₂²×D₇	—	2	2	no	—
1033	C₂²×D₇	—	2	8	no	—
1034	C₂²×D₇	—	2	8	no	—
1035	C₂²×D₇	—	2	8	no	—
1036	C₂²×D₇	—	4	4	no	—
1037	C₂²×D₇	—	4	4	no	—
1038	C₂²×D₇	—	4	16	no	—
1039	C₂²×D₇	—	4	16	no	—
1040	C₂²×D₇	C₂×#41	1	4	yes	—
1041	C₂²×D₇	2₋¹⁺⁴	1	4	yes	—
1042	C₂²×D₇	C₂⁵	1	2	yes	—
1043	C₂²×D₇	C₂⁵	1	2	yes	—
1044	C₂²×D₇	C₂⁵	1	2	yes	—
1045	C₂²×D₇	C₂⁵	1	2	yes	—
1046	C₇×Q₈	—	4	4	no	—
1047	C₇×D₄	—	2	8	no	—
1048	C₇×D₄	—	2	8	no	—
1049	C₇×D₄	—	4	4	no	—
1050	C₂×C₄×C₇	—	2	2	no	—
1051	C₂×C₄×C₇	—	2	2	no	—
1052	C₂×C₄×C₇	—	2	2	no	—
1053	C₂×C₄×C₇	—	2	2	no	—
1054	C₂×C₄×C₇	—	2	8	no	—
1055	C₂×C₄×C₇	—	2	2	no	—
1056	C₂×C₄×C₇	—	2	2	no	—
1057	C₂×C₄×C₇	—	2	2	no	—
1058	C₂×C₄×C₇	—	2	2	no	—
1059	C₂×C₄×C₇	—	2	2	no	—
1060	C₂×C₄×C₇	—	2	2	no	—
1061	C₂×C₄×C₇	—	2	2	no	—
1062	C₂×C₄×C₇	—	2	2	no	—
1063	C₂×C₄×C₇	—	4	4	no	—
1064	C₂×C₄×C₇	—	4	4	no	—
1065	C₂×C₄×C₇	—	4	4	no	—
1066	C₂×C₄×C₇	—	4	4	no	—
1067	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1068	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1069	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1070	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1071	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1072	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1073	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1074	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1075	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1076	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1077	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1078	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1079	C₂²⋊D₇	—	2	8	no	—
1080	C₂²⋊D₇	—	2	8	no	—
1081	C₂²⋊D₇	—	2	8	no	—
1082	C₂²⋊D₇	—	2	8	no	—
1083	C₂²⋊D₇	—	2	8	no	—
1084	C₂²⋊D₇	—	4	4	no	—
1085	C₂²⋊D₇	—	4	4	no	—
1086	C₂²⋊D₇	C₂×#41	1	16	yes	complemented
1087	C₂×Dic₇	—	2	2	no	—
1088	C₂×Dic₇	—	2	2	no	—
1089	C₂×Dic₇	—	2	2	no	—
1090	C₂×Dic₇	—	2	8	no	—
1091	C₂×Dic₇	—	2	2	no	—
1092	C₂×Dic₇	—	2	2	no	—
1093	C₂×Dic₇	—	2	2	no	—
1094	C₂×Dic₇	—	2	2	no	—
1095	C₂×Dic₇	—	2	2	no	—
1096	C₂×Dic₇	—	2	2	no	—
1097	C₂×Dic₇	—	2	2	no	—
1098	C₂×Dic₇	—	2	8	no	—
1099	C₂×Dic₇	—	2	8	no	—
1100	C₂×Dic₇	—	2	8	no	—
1101	C₂×Dic₇	—	4	4	no	—
1102	C₂×Dic₇	—	4	4	no	—
1103	C₂×Dic₇	C₂×#41	1	4	yes	—
1104	C₂×Dic₇	H(5,𝔽₂)	1	4	yes	—
1105	C₂×Dic₇	C₂⁵	1	2	yes	—
1106	C₂×Dic₇	C₂⁵	1	2	yes	—
1107	C₂×Dic₇	C₂⁵	1	2	yes	—
1108	C₂×Dic₇	C₂⁵	1	2	yes	—
1109	C₂×Dic₇	C₂⁵	1	2	yes	—
1110	C₂×Dic₇	C₂⁵	1	2	yes	—
1111	C₂×Dic₇	C₂⁵	1	2	yes	—
1112	C₂×Dic₇	C₂⁵	1	2	yes	—
1113	C₂×Dic₇	C₂⁵	1	2	yes	—
1114	C₂×Dic₇	C₂⁵	1	2	yes	—
1115	C₂×Dic₇	C₂⁵	1	2	yes	—
1116	C₂×Dic₇	C₂⁵	1	2	yes	—
1117	D₂₈	—	2	8	no	—
1118	D₂₈	—	2	8	no	—
1119	D₂₈	—	2	8	no	—
1120	D₂₈	—	4	4	no	—
1121	C₄×D₇	—	2	8	no	—
1122	C₄×D₇	—	2	8	no	—
1123	C₄×D₇	—	2	8	no	—
1124	C₄×D₇	—	2	8	no	—
1125	C₄×D₇	—	2	8	no	—
1126	C₄×D₇	—	2	8	no	—
1127	C₄×D₇	—	2	8	no	—
1128	C₄×D₇	—	2	8	no	—
1129	C₄×D₇	—	4	4	no	—
1130	C₄×D₇	—	4	4	no	—
1131	C₄×D₇	—	4	4	no	—
1132	C₄×D₇	—	4	4	no	—
1133	C₄×D₇	—	4	4	no	—
1134	C₄×D₇	—	4	4	no	—
1135	C₄×D₇	—	4	4	no	—
1136	C₄×D₇	—	4	4	no	—
1137	Dic₁₄	—	2	8	no	—
1138	Dic₁₄	—	2	8	no	—
1139	Dic₁₄	—	2	8	no	—
1140	Dic₁₄	—	2	8	no	—
1141	Dic₁₄	—	2	8	no	—
1142	Dic₁₄	—	4	4	no	—
1143	Dic₁₄	—	4	4	no	—
1144	Dic₁₄	—	4	4	no	—
1145	C₂⁵	—	7	1	no	—
1146	C₂⁵	—	7	1	no	—
1147	C₂×#41	—	7	8	no	—
1148	C₂×#41	—	7	8	no	—
1149	C₂×#41	—	7	8	no	—
1150	C₂×#41	—	7	8	no	—
1151	C₂×#41	—	14	8	no	—
1152	C₂×#41	—	14	8	no	—
1153	C₂×#41	—	28	4	no	—
1154	C₂×#41	—	28	4	no	—
1155	C₂²×Q₈	—	7	8	no	—
1156	C₂²×Q₈	—	7	1	no	—
1157	C₂²×Q₈	—	7	1	no	—
1158	C₂²×Q₈	—	7	1	no	—
1159	C₂²×Q₈	—	7	1	no	—
1160	C₂²×Q₈	—	7	1	no	—
1161	C₂²×Q₈	—	7	1	no	—
1162	C₂²×Q₈	—	7	1	no	—
1163	C₂²×Q₈	—	7	1	no	—
1164	C₂²×Q₈	—	7	8	no	—
1165	C₂²×Q₈	—	28	4	no	—
1166	C₂²×Q₈	—	28	4	no	—
1167	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1168	C₂²×D₄	—	7	1	no	—
1169	C₂²×D₄	—	7	1	no	—
1170	C₂²×D₄	—	7	1	no	—
1171	C₂²×D₄	—	7	1	no	—
1172	C₂²×D₄	—	7	1	no	—
1173	C₂²×D₄	—	7	1	no	—
1174	C₂²×D₄	—	7	1	no	—
1175	C₂²×D₄	—	7	1	no	—
1176	C₂²×D₄	—	7	8	no	—
1177	C₂²×D₄	—	7	1	no	—
1178	C₂²×D₄	—	7	1	no	—
1179	C₂²×D₄	—	7	1	no	—
1180	C₂²×D₄	—	7	1	no	—
1181	C₂²×D₄	—	14	8	no	—
1182	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1183	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1184	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1185	C₂³×C₄	—	7	1	no	—
1186	C₂³×C₄	—	7	1	no	—
1187	C₂³×C₄	—	7	1	no	—
1188	C₂³×C₄	—	7	1	no	—
1189	C₂³×C₄	—	7	1	no	—
1190	C₂³×C₄	—	7	1	no	—
1191	C₂³×C₄	—	7	1	no	—
1192	C₂³×C₄	—	7	1	no	—
1193	C₂³×C₄	—	7	1	no	—
1194	C₂³×C₄	—	7	1	no	—
1195	C₂³×C₄	—	7	1	no	—
1196	C₂³×C₄	—	7	1	no	—
1197	C₂³×C₄	—	7	1	no	—
1198	C₂³×C₄	—	7	1	no	—
1199	C₂³×C₄	—	7	1	no	—
1200	C₂³×C₄	—	7	1	no	—
1201	C₂³×C₄	—	7	1	no	—
1202	C₂³×C₄	—	7	1	no	—
1203	C₂³×C₄	—	7	1	no	—
1204	C₂³×C₄	—	7	1	no	—
1205	C₂³×C₄	—	7	1	no	—
1206	C₂³×C₄	—	7	1	no	—
1207	C₂³×C₄	—	7	8	no	—
1208	C₂³×C₄	—	7	8	no	—
1209	C₂³×C₄	—	28	4	no	—
1210	C₂³×C₄	—	28	4	no	—
1211	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1212	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1213	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1214	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1215	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1216	C₄⋊Q₈	—	7	8	no	—
1217	C₄⋊Q₈	—	7	8	no	—
1218	C₄⋊Q₈	—	7	8	no	—
1219	C₄⋊Q₈	—	7	8	no	—
1220	#126	—	7	8	no	—
1221	#126	—	7	8	no	—
1222	#126	—	7	8	no	—
1223	#126	—	7	8	no	—
1224	#126	—	7	8	no	—
1225	#126	—	7	8	no	—
1226	#126	—	7	8	no	—
1227	#126	—	7	8	no	—
1228	#126	C₂²×D₇	1	8	yes	complemented
1229	#126	C₂²×D₇	1	8	yes	complemented
1230	#125	—	7	8	no	—
1231	#125	—	7	8	no	—
1232	#125	—	7	8	no	—
1233	#125	—	7	8	no	—
1234	#125	—	7	8	no	—
1235	#125	C₂²×D₇	1	8	yes	complemented
1236	#125	C₂²×D₇	1	8	yes	complemented
1237	#124	—	7	8	no	—
1238	#124	—	7	8	no	—
1239	#124	—	7	8	no	—
1240	#124	—	7	8	no	—
1241	#124	—	7	8	no	—
1242	#124	—	7	8	no	—
1243	#124	—	7	8	no	—
1244	#123	—	7	8	no	—
1245	#123	—	7	8	no	—
1246	#123	—	7	8	no	—
1247	#123	—	7	8	no	—
1248	#123	—	7	8	no	—
1249	#123	—	7	8	no	—
1250	#123	—	7	8	no	—
1251	#123	—	7	8	no	—
1252	#123	—	7	8	no	—
1253	#123	—	7	8	no	—
1254	#123	—	7	8	no	—
1255	#123	—	7	8	no	—
1256	#123	—	7	8	no	—
1257	#123	—	7	8	no	—
1258	#123	C₂²×D₇	1	8	yes	—
1259	#123	C₂²×D₇	1	8	yes	complemented
1260	#123	C₂²×D₇	1	8	yes	complemented
1261	#123	C₂²×D₇	1	8	yes	complemented
1262	C₂²⋊Q₈	—	7	8	no	—
1263	C₂²⋊Q₈	—	7	8	no	—
1264	C₂²⋊Q₈	—	7	8	no	—
1265	C₂²⋊Q₈	—	7	8	no	—
1266	C₂²⋊Q₈	—	7	8	no	—
1267	C₂²⋊Q₈	—	7	8	no	—
1268	C₂²⋊Q₈	—	7	8	no	—
1269	C₂²⋊Q₈	—	7	8	no	—
1270	C₂²⋊Q₈	—	7	8	no	—
1271	C₂²⋊Q₈	—	7	8	no	—
1272	C₂²⋊Q₈	—	7	8	no	—
1273	C₂²⋊Q₈	—	7	8	no	—
1274	C₂²⋊Q₈	—	7	8	no	—
1275	C₂²⋊Q₈	—	7	8	no	—
1276	C₂²⋊Q₈	—	7	8	no	—
1277	C₂²⋊Q₈	—	7	8	no	—
1278	C₂²⋊Q₈	—	7	8	no	—
1279	C₂²⋊Q₈	—	7	8	no	—
1280	C₂²⋊Q₈	—	7	8	no	—
1281	C₂²⋊Q₈	—	7	8	no	—
1282	C₂²⋊Q₈	—	7	8	no	—
1283	C₂²⋊Q₈	—	7	8	no	—
1284	C₂²⋊Q₈	—	7	8	no	—
1285	C₂²⋊Q₈	—	7	8	no	—
1286	C₂²⋊Q₈	—	7	8	no	—
1287	C₂²⋊Q₈	—	7	8	no	—
1288	C₂²⋊Q₈	C₂²×D₇	1	8	yes	complemented
1289	C₂²⋊Q₈	C₂²×D₇	1	8	yes	complemented
1290	C₂²⋊Q₈	C₂²×D₇	1	8	yes	complemented
1291	#121	—	7	8	no	—
1292	#121	—	7	8	no	—
1293	#121	—	7	8	no	—
1294	#121	—	7	8	no	—
1295	#121	—	7	8	no	—
1296	#121	—	7	8	no	—
1297	#121	—	7	8	no	—
1298	#121	—	7	8	no	—
1299	#121	C₂²×D₇	1	8	yes	—
1300	#120	—	7	8	no	—
1301	#120	—	7	8	no	—
1302	#120	—	7	8	no	—
1303	#120	—	7	8	no	—
1304	C₄×Q₈	—	7	8	no	—
1305	C₄×Q₈	—	7	8	no	—
1306	C₄×Q₈	—	7	8	no	—
1307	C₄×Q₈	—	7	8	no	—
1308	C₄×Q₈	—	7	8	no	—
1309	C₄×Q₈	—	7	8	no	—
1310	C₄×Q₈	—	7	8	no	—
1311	C₄×D₄	—	7	8	no	—
1312	C₄×D₄	—	7	8	no	—
1313	C₄×D₄	—	7	8	no	—
1314	C₄×D₄	—	7	8	no	—
1315	C₄×D₄	—	7	8	no	—
1316	C₄×D₄	—	7	8	no	—
1317	C₄×D₄	—	7	8	no	—
1318	C₄×D₄	—	7	8	no	—
1319	C₄×D₄	—	7	8	no	—
1320	C₄×D₄	—	7	8	no	—
1321	C₄×D₄	—	7	8	no	—
1322	C₄×D₄	—	7	8	no	—
1323	C₄×D₄	—	7	8	no	—
1324	C₄×D₄	—	7	8	no	—
1325	C₄×D₄	—	7	8	no	—
1326	C₄×D₄	—	7	8	no	—
1327	C₄×D₄	—	7	8	no	—
1328	C₄×D₄	—	7	8	no	—
1329	C₄×D₄	—	7	8	no	—
1330	C₄×D₄	—	7	8	no	—
1331	C₄×D₄	—	7	8	no	—
1332	C₄×D₄	—	7	8	no	—
1333	C₄×D₄	—	7	8	no	—
1334	C₄×D₄	C₂²×D₇	1	8	yes	—
1335	C₄×D₄	C₂²×D₇	1	8	yes	complemented
1336	#117	—	7	8	no	—
1337	#117	—	7	8	no	—
1338	#117	—	7	8	no	—
1339	#117	—	7	8	no	—
1340	#117	—	7	8	no	—
1341	#117	—	7	8	no	—
1342	#117	—	7	8	no	—
1343	#117	—	7	8	no	—
1344	#117	—	7	8	no	—
1345	#117	—	7	8	no	—
1346	C₂×C₄⋊C₄	—	7	1	no	—
1347	C₂×C₄⋊C₄	—	7	1	no	—
1348	C₂×C₄⋊C₄	—	7	1	no	—
1349	C₂×C₄⋊C₄	—	7	1	no	—
1350	C₂×C₄⋊C₄	—	7	1	no	—
1351	C₂×C₄⋊C₄	—	7	1	no	—
1352	C₂×C₄⋊C₄	—	7	1	no	—
1353	C₂×C₄⋊C₄	—	7	1	no	—
1354	C₂×C₄⋊C₄	—	7	1	no	—
1355	C₂×C₄⋊C₄	—	7	1	no	—
1356	C₂×C₄⋊C₄	—	7	1	no	—
1357	C₂×C₄⋊C₄	—	7	1	no	—
1358	C₂×C₄⋊C₄	—	7	1	no	—
1359	C₂×C₄⋊C₄	—	7	1	no	—
1360	C₂×C₄⋊C₄	—	7	1	no	—
1361	C₂×C₄⋊C₄	—	7	1	no	—
1362	C₂×C₄⋊C₄	—	7	1	no	—
1363	C₂×C₄⋊C₄	—	7	8	no	—
1364	C₂×C₄⋊C₄	—	7	8	no	—
1365	C₂×C₄⋊C₄	—	7	1	no	—
1366	C₂×C₄⋊C₄	—	7	1	no	—
1367	C₂×C₄⋊C₄	—	7	1	no	—
1368	C₂×C₄⋊C₄	—	7	8	no	—
1369	C₂×C₄⋊C₄	—	7	1	no	—
1370	C₂×C₄⋊C₄	—	7	1	no	—
1371	C₂×C₄⋊C₄	—	7	1	no	—
1372	C₂×C₄⋊C₄	—	7	1	no	—
1373	C₂×C₄⋊C₄	—	7	1	no	—
1374	C₂×C₄⋊C₄	—	7	1	no	—
1375	C₂×C₄⋊C₄	—	7	1	no	—
1376	C₂×C₄⋊C₄	—	7	1	no	—
1377	C₂×C₄⋊C₄	—	7	1	no	—
1378	C₂×C₄⋊C₄	—	7	1	no	—
1379	C₂×C₄⋊C₄	—	7	1	no	—
1380	C₂×C₄⋊C₄	—	7	1	no	—
1381	C₂×C₄⋊C₄	—	7	8	no	—
1382	C₂×C₄⋊C₄	—	7	8	no	—
1383	C₂×C₄⋊C₄	—	7	8	no	—
1384	C₂×C₄⋊C₄	—	7	8	no	—
1385	C₂×C₄⋊C₄	—	7	8	no	—
1386	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1387	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1388	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1389	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1390	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1391	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1392	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1393	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1394	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1395	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1396	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1397	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1398	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1399	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1400	C₂×C₄⋊C₄	C₂²×D₇	1	8	yes	complemented
1401	C₂×C₂²⋊C₄	—	7	1	no	—
1402	C₂×C₂²⋊C₄	—	7	1	no	—
1403	C₂×C₂²⋊C₄	—	7	1	no	—
1404	C₂×C₂²⋊C₄	—	7	1	no	—
1405	C₂×C₂²⋊C₄	—	7	1	no	—
1406	C₂×C₂²⋊C₄	—	7	1	no	—
1407	C₂×C₂²⋊C₄	—	7	1	no	—
1408	C₂×C₂²⋊C₄	—	7	1	no	—
1409	C₂×C₂²⋊C₄	—	7	1	no	—
1410	C₂×C₂²⋊C₄	—	7	1	no	—
1411	C₂×C₂²⋊C₄	—	7	1	no	—
1412	C₂×C₂²⋊C₄	—	7	1	no	—
1413	C₂×C₂²⋊C₄	—	7	1	no	—
1414	C₂×C₂²⋊C₄	—	7	1	no	—
1415	C₂×C₂²⋊C₄	—	7	1	no	—
1416	C₂×C₂²⋊C₄	—	7	1	no	—
1417	C₂×C₂²⋊C₄	—	7	1	no	—
1418	C₂×C₂²⋊C₄	—	7	1	no	—
1419	C₂×C₂²⋊C₄	—	7	1	no	—
1420	C₂×C₂²⋊C₄	—	7	1	no	—
1421	C₂×C₂²⋊C₄	—	7	1	no	—
1422	C₂×C₂²⋊C₄	—	7	1	no	—
1423	C₂×C₂²⋊C₄	—	7	8	no	—
1424	C₂×C₂²⋊C₄	—	7	8	no	—
1425	C₂×C₂²⋊C₄	—	7	1	no	—
1426	C₂×C₂²⋊C₄	—	7	1	no	—
1427	C₂×C₂²⋊C₄	—	7	1	no	—
1428	C₂×C₂²⋊C₄	—	7	1	no	—
1429	C₂×C₂²⋊C₄	—	7	1	no	—
1430	C₂×C₂²⋊C₄	—	7	1	no	—
1431	C₂×C₂²⋊C₄	—	7	1	no	—
1432	C₂×C₂²⋊C₄	—	7	1	no	—
1433	C₂×C₂²⋊C₄	—	7	1	no	—
1434	C₂×C₂²⋊C₄	—	7	1	no	—
1435	C₂×C₂²⋊C₄	—	7	8	no	—
1436	C₂×C₂²⋊C₄	—	7	8	no	—
1437	C₂×C₂²⋊C₄	—	7	8	no	—
1438	C₂×C₂²⋊C₄	—	7	8	no	—
1439	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1440	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1441	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1442	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1443	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1444	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1445	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1446	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1447	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1448	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1449	C₂×C₄²	—	7	1	no	—
1450	C₂×C₄²	—	7	1	no	—
1451	C₂×C₄²	—	7	1	no	—
1452	C₂×C₄²	—	7	1	no	—
1453	C₂×C₄²	—	7	1	no	—
1454	C₂×C₄²	—	7	1	no	—
1455	C₂×C₄²	—	7	1	no	—
1456	C₂×C₄²	—	7	1	no	—
1457	C₂×C₄²	—	7	1	no	—
1458	C₂×C₄²	—	7	1	no	—
1459	C₂×C₄²	—	7	1	no	—
1460	C₂×C₄²	—	7	1	no	—
1461	C₂×C₄²	—	7	8	no	—
1462	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1463	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1464	C₂²×C₇	—	2	2	no	—
1465	C₂²×C₇	—	2	2	no	—
1466	C₂²×C₇	—	2	8	no	—
1467	C₂²×C₇	—	2	2	no	—
1468	C₂²×C₇	—	2	2	no	—
1469	C₂²×C₇	—	2	2	no	—
1470	C₂²×C₇	—	2	2	no	—
1471	C₂²×C₇	—	2	2	no	—
1472	C₂²×C₇	—	2	2	no	—
1473	C₂²×C₇	—	4	4	no	—
1474	C₂²×C₇	—	4	4	no	—
1475	C₂²×C₇	C₂²×#41	1	4	yes	—
1476	C₂²×C₇	C₂²×#41	1	2	yes	—
1477	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1478	C₂²×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
1479	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1480	C₂×D₇	—	2	2	no	—
1481	C₂×D₇	—	2	2	no	—
1482	C₂×D₇	—	2	2	no	—
1483	C₂×D₇	—	2	2	no	—
1484	C₂×D₇	—	2	8	no	—
1485	C₂×D₇	—	2	8	no	—
1486	C₂×D₇	—	2	2	no	—
1487	C₂×D₇	—	2	2	no	—
1488	C₂×D₇	—	2	2	no	—
1489	C₂×D₇	—	2	2	no	—
1490	C₂×D₇	—	2	2	no	—
1491	C₂×D₇	—	2	2	no	—
1492	C₂×D₇	—	4	16	no	—
1493	C₂×D₇	—	4	16	no	—
1494	C₂×D₇	—	4	4	no	—
1495	C₂×D₇	—	4	4	no	—
1496	C₂×D₇	C₂²×#41	1	4	yes	—
1497	C₂×D₇	C₂×2₋¹⁺⁴	1	4	yes	—
1498	C₄×C₇	—	2	2	no	—
1499	C₄×C₇	—	2	2	no	—
1500	C₄×C₇	—	2	2	no	—
1501	C₄×C₇	—	2	2	no	—
1502	C₄×C₇	—	2	2	no	—
1503	C₄×C₇	—	2	2	no	—
1504	C₄×C₇	—	2	2	no	—
1505	C₄×C₇	—	2	2	no	—
1506	C₄×C₇	—	2	2	no	—
1507	C₄×C₇	—	2	2	no	—
1508	C₄×C₇	—	2	2	no	—
1509	C₄×C₇	—	2	2	no	—
1510	Dic₇	—	2	2	no	—
1511	Dic₇	—	2	2	no	—
1512	Dic₇	—	2	2	no	—
1513	Dic₇	—	2	2	no	—
1514	Dic₇	—	2	2	no	—
1515	Dic₇	—	2	2	no	—
1516	Dic₇	—	2	2	no	—
1517	Dic₇	—	2	2	no	—
1518	Dic₇	—	2	2	no	—
1519	Dic₇	—	2	2	no	—
1520	Dic₇	C₂²×#41	1	4	yes	—
1521	Dic₇	C₂×H(5,𝔽₂)	1	4	yes	—
1522	C₂⁴	—	7	1	no	—
1523	C₂⁴	—	7	1	no	—
1524	C₂⁴	—	7	1	no	—
1525	C₂⁴	—	7	1	no	—
1526	C₂⁴	—	7	4	no	—
1527	C₂⁴	—	7	4	no	—
1528	C₂⁴	—	14	4	no	—
1529	C₂⁴	—	14	4	no	—
1530	C₂⁴	—	14	4	no	—
1531	C₂⁴	—	14	4	no	—
1532	C₂⁴	—	28	2	no	—
1533	C₂⁴	—	28	2	no	—
1534	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1535	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1536	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1537	#41	—	14	32	no	—
1538	#41	—	14	32	no	—
1539	#41	—	28	16	no	—
1540	#41	—	28	16	no	—
1541	C₂×Q₈	—	4	2	no	—
1542	C₂×Q₈	—	7	4	no	—
1543	C₂×Q₈	—	7	4	no	—
1544	C₂×Q₈	—	7	4	no	—
1545	C₂×Q₈	—	7	4	no	—
1546	C₂×Q₈	—	7	4	no	—
1547	C₂×Q₈	—	7	4	no	—
1548	C₂×Q₈	—	7	4	no	—
1549	C₂×Q₈	—	7	4	no	—
1550	C₂×Q₈	—	14	4	no	—
1551	C₂×Q₈	—	14	4	no	—
1552	C₂×Q₈	—	14	4	no	—
1553	C₂×Q₈	—	14	4	no	—
1554	C₂×Q₈	—	14	4	no	—
1555	C₂×Q₈	—	28	2	no	—
1556	C₂×Q₈	—	28	2	no	—
1557	C₂×Q₈	—	28	2	no	—
1558	C₂×Q₈	—	28	16	no	—
1559	C₂×Q₈	—	28	16	no	—
1560	C₂×Q₈	C₂³×D₇	1	4	yes	—
1561	C₂×D₄	—	2	4	no	—
1562	C₂×D₄	—	2	4	no	—
1563	C₂×D₄	—	4	2	no	—
1564	C₂×D₄	—	7	8	no	—
1565	C₂×D₄	—	7	4	no	—
1566	C₂×D₄	—	7	4	no	—
1567	C₂×D₄	—	7	4	no	—
1568	C₂×D₄	—	7	4	no	—
1569	C₂×D₄	—	7	4	no	—
1570	C₂×D₄	—	7	4	no	—
1571	C₂×D₄	—	7	4	no	—
1572	C₂×D₄	—	7	4	no	—
1573	C₂×D₄	—	7	4	no	—
1574	C₂×D₄	—	7	4	no	—
1575	C₂×D₄	—	7	4	no	—
1576	C₂×D₄	—	7	4	no	—
1577	C₂×D₄	—	14	4	no	—
1578	C₂×D₄	—	14	4	no	—
1579	C₂×D₄	—	14	4	no	—
1580	C₂×D₄	—	14	4	no	—
1581	C₂×D₄	—	14	4	no	—
1582	C₂×D₄	—	14	32	no	—
1583	C₂×D₄	—	14	4	no	—
1584	C₂×D₄	—	14	4	no	—
1585	C₂×D₄	—	14	4	no	—
1586	C₂×D₄	—	28	2	no	—
1587	C₂×D₄	—	28	2	no	—
1588	C₂×D₄	—	28	2	no	—
1589	C₂×D₄	C₂³×D₇	1	4	yes	—
1590	C₂×D₄	C₂³×D₇	1	4	yes	—
1591	C₂×D₄	C₂³×D₇	1	4	yes	—
1592	C₂²×C₄	—	2	4	no	—
1593	C₂²×C₄	—	4	2	no	—
1594	C₂²×C₄	—	4	2	no	—
1595	C₂²×C₄	—	4	2	no	—
1596	C₂²×C₄	—	4	2	no	—
1597	C₂²×C₄	—	7	1	no	—
1598	C₂²×C₄	—	7	1	no	—
1599	C₂²×C₄	—	7	4	no	—
1600	C₂²×C₄	—	7	4	no	—
1601	C₂²×C₄	—	7	4	no	—
1602	C₂²×C₄	—	7	4	no	—
1603	C₂²×C₄	—	7	1	no	—
1604	C₂²×C₄	—	7	1	no	—
1605	C₂²×C₄	—	7	1	no	—
1606	C₂²×C₄	—	7	1	no	—
1607	C₂²×C₄	—	7	1	no	—
1608	C₂²×C₄	—	7	1	no	—
1609	C₂²×C₄	—	7	1	no	—
1610	C₂²×C₄	—	7	1	no	—
1611	C₂²×C₄	—	7	1	no	—
1612	C₂²×C₄	—	7	1	no	—
1613	C₂²×C₄	—	7	4	no	—
1614	C₂²×C₄	—	7	4	no	—
1615	C₂²×C₄	—	7	4	no	—
1616	C₂²×C₄	—	7	4	no	—
1617	C₂²×C₄	—	7	4	no	—
1618	C₂²×C₄	—	7	4	no	—
1619	C₂²×C₄	—	7	4	no	—
1620	C₂²×C₄	—	7	4	no	—
1621	C₂²×C₄	—	7	4	no	—
1622	C₂²×C₄	—	7	4	no	—
1623	C₂²×C₄	—	7	4	no	—
1624	C₂²×C₄	—	7	4	no	—
1625	C₂²×C₄	—	7	4	no	—
1626	C₂²×C₄	—	7	4	no	—
1627	C₂²×C₄	—	7	4	no	—
1628	C₂²×C₄	—	7	4	no	—
1629	C₂²×C₄	—	7	4	no	—
1630	C₂²×C₄	—	7	4	no	—
1631	C₂²×C₄	—	14	4	no	—
1632	C₂²×C₄	—	14	4	no	—
1633	C₂²×C₄	—	14	4	no	—
1634	C₂²×C₄	—	14	4	no	—
1635	C₂²×C₄	—	14	4	no	—
1636	C₂²×C₄	—	14	4	no	—
1637	C₂²×C₄	—	14	4	no	—
1638	C₂²×C₄	—	14	4	no	—
1639	C₂²×C₄	—	14	4	no	—
1640	C₂²×C₄	—	14	4	no	—
1641	C₂²×C₄	—	14	4	no	—
1642	C₂²×C₄	—	14	4	no	—
1643	C₂²×C₄	—	28	2	no	—
1644	C₂²×C₄	—	28	2	no	—
1645	C₂²×C₄	—	28	2	no	—
1646	C₂²×C₄	—	28	2	no	—
1647	C₂²×C₄	—	28	2	no	—
1648	C₂²×C₄	—	28	2	no	—
1649	C₂²×C₄	—	28	2	no	—
1650	C₂²×C₄	—	28	2	no	—
1651	C₂²×C₄	—	28	16	no	—
1652	C₂²×C₄	—	28	16	no	—
1653	C₂²×C₄	—	28	2	no	—
1654	C₂²×C₄	—	28	2	no	—
1655	C₂²×C₄	C₂³×D₇	1	4	yes	—
1656	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1657	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1658	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1659	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1660	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1661	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1662	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1663	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1664	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1665	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1666	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1667	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1668	C₂²×C₄	C₂³×D₇	1	4	yes	—
1669	C₂²×C₄	C₂³×D₇	1	4	yes	—
1670	C₂²×C₄	C₂³×D₇	1	4	yes	—
1671	C₂²×C₄	C₂³×D₇	1	4	yes	—
1672	C₄⋊C₄	—	7	4	no	—
1673	C₄⋊C₄	—	7	4	no	—
1674	C₄⋊C₄	—	7	4	no	—
1675	C₄⋊C₄	—	7	4	no	—
1676	C₄⋊C₄	—	7	4	no	—
1677	C₄⋊C₄	—	7	4	no	—
1678	C₄⋊C₄	—	7	4	no	—
1679	C₄⋊C₄	—	7	4	no	—
1680	C₄⋊C₄	—	7	4	no	—
1681	C₄⋊C₄	—	7	4	no	—
1682	C₄⋊C₄	—	7	4	no	—
1683	C₄⋊C₄	—	7	4	no	—
1684	C₄⋊C₄	—	7	4	no	—
1685	C₄⋊C₄	—	7	4	no	—
1686	C₄⋊C₄	—	7	4	no	—
1687	C₄⋊C₄	—	7	4	no	—
1688	C₄⋊C₄	—	7	4	no	—
1689	C₄⋊C₄	—	7	4	no	—
1690	C₄⋊C₄	—	7	4	no	—
1691	C₄⋊C₄	—	7	4	no	—
1692	C₄⋊C₄	—	7	4	no	—
1693	C₄⋊C₄	—	7	4	no	—
1694	C₄⋊C₄	—	7	4	no	—
1695	C₄⋊C₄	—	7	4	no	—
1696	C₄⋊C₄	—	7	4	no	—
1697	C₄⋊C₄	—	7	4	no	—
1698	C₄⋊C₄	—	7	4	no	—
1699	C₄⋊C₄	—	7	4	no	—
1700	C₄⋊C₄	—	7	4	no	—
1701	C₄⋊C₄	—	7	4	no	—
1702	C₄⋊C₄	—	7	4	no	—
1703	C₄⋊C₄	—	7	4	no	—
1704	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1705	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1706	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1707	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1708	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1709	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1710	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1711	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1712	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1713	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1714	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1715	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1716	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1717	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1718	C₂²⋊C₄	—	7	4	no	—
1719	C₂²⋊C₄	—	7	4	no	—
1720	C₂²⋊C₄	—	7	4	no	—
1721	C₂²⋊C₄	—	7	4	no	—
1722	C₂²⋊C₄	—	7	4	no	—
1723	C₂²⋊C₄	—	7	4	no	—
1724	C₂²⋊C₄	—	7	4	no	—
1725	C₂²⋊C₄	—	7	4	no	—
1726	C₂²⋊C₄	—	7	4	no	—
1727	C₂²⋊C₄	—	7	4	no	—
1728	C₂²⋊C₄	—	7	4	no	—
1729	C₂²⋊C₄	—	7	4	no	—
1730	C₂²⋊C₄	—	7	4	no	—
1731	C₂²⋊C₄	—	7	4	no	—
1732	C₂²⋊C₄	—	7	4	no	—
1733	C₂²⋊C₄	—	7	4	no	—
1734	C₂²⋊C₄	—	7	4	no	—
1735	C₂²⋊C₄	—	7	4	no	—
1736	C₂²⋊C₄	—	7	4	no	—
1737	C₂²⋊C₄	—	7	4	no	—
1738	C₂²⋊C₄	—	7	4	no	—
1739	C₂²⋊C₄	—	7	4	no	—
1740	C₂²⋊C₄	—	7	4	no	—
1741	C₂²⋊C₄	—	7	4	no	—
1742	C₂²⋊C₄	—	7	4	no	—
1743	C₂²⋊C₄	—	7	4	no	—
1744	C₂²⋊C₄	—	7	4	no	—
1745	C₂²⋊C₄	—	7	4	no	—
1746	C₂²⋊C₄	—	7	4	no	—
1747	C₂²⋊C₄	—	7	4	no	—
1748	C₂²⋊C₄	—	7	4	no	—
1749	C₂²⋊C₄	—	7	4	no	—
1750	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1751	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1752	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1753	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1754	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1755	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1756	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1757	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1758	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1759	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1760	C₄²	—	7	4	no	—
1761	C₄²	—	7	4	no	—
1762	C₄²	—	7	4	no	—
1763	C₄²	—	7	4	no	—
1764	C₄²	—	7	4	no	—
1765	C₄²	—	7	4	no	—
1766	C₄²	—	7	4	no	—
1767	C₄²	—	7	4	no	—
1768	C₄²	—	7	4	no	—
1769	C₄²	—	7	4	no	—
1770	C₄²	—	7	4	no	—
1771	C₄²	—	7	4	no	—
1772	C₄²	C₂³×D₇	1	4	yes	—
1773	C₄²	C₂³×D₇	1	4	yes	—
1774	C₂×C₇	—	2	4	no	—
1775	C₂×C₇	—	4	2	no	—
1776	C₂×C₇	—	4	2	no	—
1777	C₂×C₇	#3520	1	4	yes	complemented
1778	C₂×C₇	C₂³×#41	1	1	yes	characteristic
1779	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1780	C₂×C₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1781	D₇	—	2	4	no	—
1782	D₇	—	2	4	no	—
1783	D₇	—	4	2	no	—
1784	D₇	—	4	2	no	—
1785	C₂³	—	2	2	no	—
1786	C₂³	—	2	2	no	—
1787	C₂³	—	2	2	no	—
1788	C₂³	—	2	2	no	—
1789	C₂³	—	2	2	no	—
1790	C₂³	—	2	2	no	—
1791	C₂³	—	2	2	no	—
1792	C₂³	—	2	2	no	—
1793	C₂³	—	7	2	no	—
1794	C₂³	—	7	2	no	—
1795	C₂³	—	7	4	no	—
1796	C₂³	—	7	4	no	—
1797	C₂³	—	7	2	no	—
1798	C₂³	—	7	2	no	—
1799	C₂³	—	14	8	no	—
1800	C₂³	—	14	8	no	—
1801	C₂³	—	14	8	no	—
1802	C₂³	—	14	2	no	—
1803	C₂³	—	14	2	no	—
1804	C₂³	—	14	2	no	—
1805	C₂³	—	14	2	no	—
1806	C₂³	—	14	2	no	—
1807	C₂³	—	14	8	no	—
1808	C₂³	—	14	2	no	—
1809	C₂³	—	14	2	no	—
1810	C₂³	—	14	2	no	—
1811	C₂³	—	14	2	no	—
1812	C₂³	—	14	2	no	—
1813	C₂³	—	28	4	no	—
1814	C₂³	—	28	4	no	—
1815	C₂³	—	28	16	no	—
1816	C₂³	—	28	16	no	—
1817	C₂³	D₇×#41	1	4	yes	—
1818	C₂³	C₂⁴×D₇	1	2	yes	—
1819	C₂³	C₂⁴×D₇	1	2	yes	—
1820	C₂³	C₂⁴×D₇	1	2	yes	—
1821	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1822	Q₈	—	4	4	no	—
1823	Q₈	—	14	8	no	—
1824	Q₈	—	14	8	no	—
1825	Q₈	—	14	8	no	—
1826	Q₈	—	14	8	no	—
1827	Q₈	—	14	8	no	—
1828	Q₈	—	28	4	no	—
1829	Q₈	—	28	4	no	—
1830	Q₈	—	28	4	no	—
1831	D₄	—	2	8	no	—
1832	D₄	—	2	8	no	—
1833	D₄	—	4	4	no	—
1834	D₄	—	7	16	no	—
1835	D₄	—	14	8	no	—
1836	D₄	—	14	8	no	—
1837	D₄	—	14	8	no	—
1838	D₄	—	14	8	no	—
1839	D₄	—	14	8	no	—
1840	D₄	—	14	8	no	—
1841	D₄	—	14	8	no	—
1842	D₄	—	14	8	no	—
1843	D₄	—	28	4	no	—
1844	D₄	—	28	4	no	—
1845	D₄	—	28	4	no	—
1846	C₂×C₄	—	2	2	no	—
1847	C₂×C₄	—	2	2	no	—
1848	C₂×C₄	—	2	8	no	—
1849	C₂×C₄	—	2	2	no	—
1850	C₂×C₄	—	2	2	no	—
1851	C₂×C₄	—	2	2	no	—
1852	C₂×C₄	—	2	2	no	—
1853	C₂×C₄	—	2	2	no	—
1854	C₂×C₄	—	2	2	no	—
1855	C₂×C₄	—	2	2	no	—
1856	C₂×C₄	—	2	2	no	—
1857	C₂×C₄	—	2	2	no	—
1858	C₂×C₄	—	2	2	no	—
1859	C₂×C₄	—	4	4	no	—
1860	C₂×C₄	—	4	4	no	—
1861	C₂×C₄	—	4	4	no	—
1862	C₂×C₄	—	4	4	no	—
1863	C₂×C₄	—	7	2	no	—
1864	C₂×C₄	—	7	2	no	—
1865	C₂×C₄	—	7	4	no	—
1866	C₂×C₄	—	7	4	no	—
1867	C₂×C₄	—	7	2	no	—
1868	C₂×C₄	—	7	2	no	—
1869	C₂×C₄	—	7	2	no	—
1870	C₂×C₄	—	7	2	no	—
1871	C₂×C₄	—	7	2	no	—
1872	C₂×C₄	—	7	2	no	—
1873	C₂×C₄	—	7	2	no	—
1874	C₂×C₄	—	7	2	no	—
1875	C₂×C₄	—	7	2	no	—
1876	C₂×C₄	—	7	2	no	—
1877	C₂×C₄	—	14	8	no	—
1878	C₂×C₄	—	14	8	no	—
1879	C₂×C₄	—	14	8	no	—
1880	C₂×C₄	—	14	8	no	—
1881	C₂×C₄	—	14	8	no	—
1882	C₂×C₄	—	14	8	no	—
1883	C₂×C₄	—	14	8	no	—
1884	C₂×C₄	—	14	8	no	—
1885	C₂×C₄	—	14	8	no	—
1886	C₂×C₄	—	14	8	no	—
1887	C₂×C₄	—	14	8	no	—
1888	C₂×C₄	—	14	2	no	—
1889	C₂×C₄	—	14	2	no	—
1890	C₂×C₄	—	14	2	no	—
1891	C₂×C₄	—	14	8	no	—
1892	C₂×C₄	—	14	2	no	—
1893	C₂×C₄	—	14	2	no	—
1894	C₂×C₄	—	14	2	no	—
1895	C₂×C₄	—	14	2	no	—
1896	C₂×C₄	—	14	2	no	—
1897	C₂×C₄	—	14	2	no	—
1898	C₂×C₄	—	14	2	no	—
1899	C₂×C₄	—	28	4	no	—
1900	C₂×C₄	—	28	4	no	—
1901	C₂×C₄	—	28	4	no	—
1902	C₂×C₄	—	28	4	no	—
1903	C₂×C₄	—	28	4	no	—
1904	C₂×C₄	—	28	4	no	—
1905	C₂×C₄	—	28	4	no	—
1906	C₂×C₄	—	28	4	no	—
1907	C₂×C₄	—	28	4	no	—
1908	C₂×C₄	—	28	4	no	—
1909	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1910	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1911	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1912	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1913	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1914	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1915	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1916	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1917	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1918	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1919	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1920	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1921	C₇	C₂×#3520	1	1	yes	characteristic, complemented, Sylow
1922	C₂²	—	2	8	no	—
1923	C₂²	—	2	2	no	—
1924	C₂²	—	2	2	no	—
1925	C₂²	—	2	2	no	—
1926	C₂²	—	2	2	no	—
1927	C₂²	—	2	2	no	—
1928	C₂²	—	2	2	no	—
1929	C₂²	—	2	2	no	—
1930	C₂²	—	2	2	no	—
1931	C₂²	—	4	4	no	—
1932	C₂²	—	4	4	no	—
1933	C₂²	—	7	4	no	—
1934	C₂²	—	7	4	no	—
1935	C₂²	—	14	8	no	—
1936	C₂²	—	14	8	no	—
1937	C₂²	—	14	2	no	—
1938	C₂²	—	14	2	no	—
1939	C₂²	—	14	2	no	—
1940	C₂²	—	14	2	no	—
1941	C₂²	—	14	2	no	—
1942	C₂²	—	14	2	no	—
1943	C₂²	—	14	2	no	—
1944	C₂²	—	14	2	no	—
1945	C₂²	—	14	2	no	—
1946	C₂²	—	14	2	no	—
1947	C₂²	—	28	16	no	—
1948	C₂²	—	28	16	no	—
1949	C₂²	—	28	4	no	—
1950	C₂²	—	28	4	no	—
1951	C₂²	C₂×D₇×#41	1	4	yes	—
1952	C₂²	C₂×D₇×#41	1	2	yes	—
1953	C₂²	D₇×H(5,𝔽₂)	1	2	yes	—
1954	C₂²	D₇×2₋¹⁺⁴	1	2	yes	—
1955	C₂²	C₂⁵×D₇	1	1	yes	characteristic
1956	C₄	—	2	2	no	—
1957	C₄	—	2	2	no	—
1958	C₄	—	2	2	no	—
1959	C₄	—	2	2	no	—
1960	C₄	—	2	2	no	—
1961	C₄	—	2	2	no	—
1962	C₄	—	2	2	no	—
1963	C₄	—	2	2	no	—
1964	C₄	—	2	2	no	—
1965	C₄	—	2	2	no	—
1966	C₄	—	2	2	no	—
1967	C₄	—	2	2	no	—
1968	C₄	—	7	4	no	—
1969	C₄	—	7	4	no	—
1970	C₄	—	14	2	no	—
1971	C₄	—	14	2	no	—
1972	C₄	—	14	2	no	—
1973	C₄	—	14	2	no	—
1974	C₄	—	14	2	no	—
1975	C₄	—	14	2	no	—
1976	C₄	—	14	2	no	—
1977	C₄	—	14	2	no	—
1978	C₄	—	14	2	no	—
1979	C₄	—	14	2	no	—
1980	C₂	—	2	4	no	—
1981	C₂	—	4	2	no	—
1982	C₂	—	4	2	no	—
1983	C₂	—	14	4	no	—
1984	C₂	—	14	4	no	—
1985	C₂	—	28	2	no	—
1986	C₂	—	28	2	no	—
1987	C₂	#11743524	1	4	yes	direct product factor
1988	C₂	C₂²×D₇×#41	1	1	yes	characteristic
1989	C₂	C₂×D₇×H(5,𝔽₂)	1	1	yes	characteristic
1990	C₂	C₂×D₇×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇
commutator, cosocle	C₂²×C₇	C₂⁶
Frattini	C₂²	C₂⁵×D₇
Fitting	C₂×C₇×#539	C₂
socle	C₂³×C₇	C₂⁵
hypercenter	C₂×#539	D₇
hypocenter	C₇	C₂×#3520
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ C₂×#539

Complements

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

N	H ≅ G/N	type
1. C₂×C₇×#539	C₂	semidirect
2. #11743524	C₂	direct (N × H)
3. C₂×#90396	C₂	semidirect
4. C₂×#90398	C₂	semidirect
5. C₂×#90393	C₂	semidirect
6. C₂×#90397	C₂	semidirect
7. C₂×#90384	C₂	semidirect
8. C₂×#90383	C₂	semidirect
9. C₂×#90381	C₂	semidirect
10. C₂×#90379	C₂	semidirect
11. C₂×#90350	C₂	semidirect
12. C₂×#90349	C₂	semidirect
13. C₂×#90346	C₂	semidirect
14. C₂×#90346	C₂	semidirect
15. C₂×#90345	C₂	semidirect
16. C₂×#90341	C₂	semidirect
17. C₂×#90353	C₂	semidirect
18. C₂×#90347	C₂	semidirect
19. C₂×#90328	C₂	semidirect
20. C₂×#90324	C₂	semidirect
21. C₂×D₇×C₂²⋊Q₈	C₂	semidirect
22. C₂×#90327	C₂	semidirect
23. C₂×#90323	C₂	semidirect
24. C₂×#90331	C₂	semidirect
25. C₂×#90301	C₂	semidirect
26. C₂×#90289	C₂	semidirect
27. C₂×#90238	C₂	semidirect
28. C₂×C₄×D₄×D₇	C₂	semidirect
29. C₂×#90255	C₂	semidirect
30. C₂×#90237	C₂	semidirect
31. C₂²×#6459	C₂	semidirect
32. C₂×#90195	C₂	semidirect
33. C₂²×Q₈×D₇	C₂²	semidirect
35. C₂²×#1159	C₂²	semidirect
38. C₂²×#1157	C₂²	semidirect
41. C₂³×Dic₁₄	C₂²	semidirect
42. C₇×#539	C₂²	semidirect
43. C₂×C₇×#126	C₂²	semidirect
44. C₂×C₇×#126	C₂²	semidirect
45. C₂×C₇×#125	C₂²	semidirect
46. C₂×C₇×#125	C₂²	semidirect
48. C₂×C₇×#123	C₂²	semidirect
49. C₂×C₇×#123	C₂²	semidirect
50. C₂×C₇×#123	C₂²	semidirect
51. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
52. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
53. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
56. C₂×C₄×C₇×D₄	C₂²	semidirect
57. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
58. C₂×#6510	C₂²	semidirect
60. C₂×#6507	C₂²	semidirect
63. C₂×#6502	C₂²	semidirect
66. C₂×#6499	C₂²	semidirect
69. C₂×D₄×Dic₇	C₂²	semidirect
70. C₂×#6492	C₂²	semidirect
75. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
76. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
77. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
80. C₂×#6489	C₂²	semidirect
81. C₂×#6487	C₂²	semidirect
82. C₂²×Dic₇⋊C₄	C₂²	semidirect
83. C₂²×Dic₇⋊C₄	C₂²	semidirect
84. C₂²×Dic₇⋊C₄	C₂²	semidirect
85. #90398	C₂²	semidirect
86. #90397	C₂²	semidirect
87. #90396	C₂²	semidirect
88. #90393	C₂²	semidirect
89. #90384	C₂²	semidirect
90. #90383	C₂²	semidirect
91. #90381	C₂²	semidirect
92. #90379	C₂²	semidirect
93. #90353	C₂²	semidirect
94. #90350	C₂²	semidirect
95. #90349	C₂²	semidirect
96. #90347	C₂²	semidirect
97. #90346	C₂²	semidirect
98. #90346	C₂²	semidirect
99. #90345	C₂²	semidirect
100. #90341	C₂²	semidirect
101. #90331	C₂²	semidirect
102. #90328	C₂²	semidirect
103. #90327	C₂²	semidirect
104. #90324	C₂²	semidirect
105. #90323	C₂²	semidirect
106. D₇×C₂²⋊Q₈	C₂²	semidirect
107. #90301	C₂²	semidirect
108. #90289	C₂²	semidirect
109. #90255	C₂²	semidirect
110. #90238	C₂²	semidirect
111. #90237	C₂²	semidirect
112. C₄×D₄×D₇	C₂²	semidirect
113. C₂×#6461	C₂²	semidirect
114. C₂×#6461	C₂²	semidirect
115. C₂×#6461	C₂²	semidirect
116. C₂×#6461	C₂²	semidirect
118. C₂×#6460	C₂²	semidirect
119. C₂×#6460	C₂²	semidirect
127. C₂×#6459	C₂²	semidirect
128. C₂×#6459	C₂²	semidirect
129. C₂×#6459	C₂²	semidirect
130. C₂×#6459	C₂²	semidirect
131. C₂×#6459	C₂²	semidirect
132. C₂×#6459	C₂²	semidirect
133. C₂×#6459	C₂²	semidirect
134. C₂×#6459	C₂²	semidirect
135. C₂×#6459	C₂²	semidirect
140. C₂×#6457	C₂²	semidirect
141. C₂×#6457	C₂²	semidirect
142. C₂×#6457	C₂²	semidirect
143. #90195	C₂²	semidirect
147. C₂×#6456	C₂²	semidirect
148. C₂×#6456	C₂²	semidirect
151. C₂×#6455	C₂²	semidirect
152. C₂×#6455	C₂²	semidirect
154. C₂×D₇×C₄⋊C₄	C₂²	semidirect
155. C₂×D₇×C₄⋊C₄	C₂²	semidirect
156. C₂×D₇×C₄⋊C₄	C₂²	semidirect
157. C₂×D₇×C₄⋊C₄	C₂²	semidirect
158. C₂×#6453	C₂²	semidirect
159. C₂×#6452	C₂²	semidirect
160. C₂×#6452	C₂²	semidirect
161. C₂×#6452	C₂²	semidirect
162. C₂×#6451	C₂²	semidirect
163. C₂×#6451	C₂²	semidirect
164. C₂×#6451	C₂²	semidirect
165. C₂×#6450	C₂²	semidirect
166. C₂×#6450	C₂²	semidirect
167. C₂×#6450	C₂²	semidirect
168. C₂×#6450	C₂²	semidirect
169. C₂×#6450	C₂²	semidirect
170. C₂×#6450	C₂²	semidirect
171. C₂×#6449	C₂²	semidirect
172. C₂×#6449	C₂²	semidirect
175. C₂×#6448	C₂²	semidirect
176. C₂×#6448	C₂²	semidirect
177. C₂×#6448	C₂²	semidirect
181. C₂×#6447	C₂²	semidirect
183. C₂×#6446	C₂²	semidirect
184. C₂×#6446	C₂²	semidirect
185. C₂×#6446	C₂²	semidirect
193. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
194. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
199. C₂×#6442	C₂²	semidirect
200. C₂×#6442	C₂²	semidirect
201. C₂×#6442	C₂²	semidirect
202. C₂×#6441	C₂²	semidirect
203. C₂×#6441	C₂²	semidirect
204. C₂×#6441	C₂²	semidirect
205. C₂×#6441	C₂²	semidirect
206. C₂×#6441	C₂²	semidirect
207. C₂×#6441	C₂²	semidirect
208. C₂×#6440	C₂²	semidirect
209. C₂×#6440	C₂²	semidirect
210. C₂×#6440	C₂²	semidirect
211. C₂×#6439	C₂²	semidirect
214. C₂×#6435	C₂²	semidirect
215. C₂×#6435	C₂²	semidirect
217. C₂×#6433	C₂²	semidirect
218. C₂×C₄×Dic₁₄	C₂²	semidirect
246. C₂×Q₈×D₇	C₂³	semidirect
250. C₂×#1159	C₂³	semidirect
256. C₂×#1157	C₂³	semidirect
290. C₂²×Dic₁₄	C₂³	semidirect
291. C₇×#126	C₂³	semidirect
292. C₇×#126	C₂³	semidirect
293. C₇×#125	C₂³	semidirect
294. C₇×#125	C₂³	semidirect
296. C₇×#123	C₂³	semidirect
297. C₇×#123	C₂³	semidirect
298. C₇×#123	C₂³	semidirect
299. C₇×C₂²⋊Q₈	C₂³	semidirect
300. C₇×C₂²⋊Q₈	C₂³	semidirect
301. C₇×C₂²⋊Q₈	C₂³	semidirect
304. C₄×C₇×D₄	C₂³	semidirect
319. C₂×C₇×C₄⋊C₄	C₂³	semidirect
340. #6510	C₂³	semidirect
342. #6507	C₂³	semidirect
345. #6502	C₂³	semidirect
348. #6499	C₂³	semidirect
351. D₄×Dic₇	C₂³	semidirect
352. #6492	C₂³	semidirect
357. C₄×C₂²⋊D₇	C₂³	semidirect
358. C₄×C₂²⋊D₇	C₂³	semidirect
359. C₄×C₂²⋊D₇	C₂³	semidirect
386. #6489	C₂³	semidirect
395. #6487	C₂³	semidirect
420. C₂×Dic₇⋊C₄	C₂³	semidirect
421. C₂×Dic₇⋊C₄	C₂³	semidirect
422. C₂×Dic₇⋊C₄	C₂³	semidirect
435. #6461	C₂³	semidirect
436. #6461	C₂³	semidirect
437. #6461	C₂³	semidirect
438. #6461	C₂³	semidirect
440. #6460	C₂³	semidirect
441. #6460	C₂³	semidirect
449. #6459	C₂³	semidirect
450. #6459	C₂³	semidirect
451. #6459	C₂³	semidirect
452. #6459	C₂³	semidirect
453. #6459	C₂³	semidirect
454. #6459	C₂³	semidirect
455. #6459	C₂³	semidirect
456. #6459	C₂³	semidirect
461. #6457	C₂³	semidirect
462. #6457	C₂³	semidirect
463. #6457	C₂³	semidirect
467. #6456	C₂³	semidirect
468. #6456	C₂³	semidirect
471. #6455	C₂³	semidirect
472. #6455	C₂³	semidirect
474. D₇×C₄⋊C₄	C₂³	semidirect
475. D₇×C₄⋊C₄	C₂³	semidirect
476. D₇×C₄⋊C₄	C₂³	semidirect
477. D₇×C₄⋊C₄	C₂³	semidirect
478. #6453	C₂³	semidirect
479. #6452	C₂³	semidirect
480. #6452	C₂³	semidirect
481. #6452	C₂³	semidirect
482. #6451	C₂³	semidirect
483. #6451	C₂³	semidirect
484. #6451	C₂³	semidirect
485. #6450	C₂³	semidirect
486. #6450	C₂³	semidirect
487. #6450	C₂³	semidirect
488. #6450	C₂³	semidirect
489. #6450	C₂³	semidirect
490. #6450	C₂³	semidirect
491. #6449	C₂³	semidirect
492. #6449	C₂³	semidirect
495. #6448	C₂³	semidirect
496. #6448	C₂³	semidirect
497. #6448	C₂³	semidirect
501. #6447	C₂³	semidirect
503. #6446	C₂³	semidirect
504. #6446	C₂³	semidirect
505. #6446	C₂³	semidirect
513. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
514. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
519. #6442	C₂³	semidirect
520. #6442	C₂³	semidirect
521. #6442	C₂³	semidirect
522. #6441	C₂³	semidirect
523. #6441	C₂³	semidirect
524. #6441	C₂³	semidirect
525. #6441	C₂³	semidirect
526. #6441	C₂³	semidirect
527. #6441	C₂³	semidirect
528. #6440	C₂³	semidirect
529. #6440	C₂³	semidirect
530. #6440	C₂³	semidirect
531. #6439	C₂³	semidirect
534. #6435	C₂³	semidirect
535. #6435	C₂³	semidirect
537. #6433	C₂³	semidirect
538. C₄×Dic₁₄	C₂³	semidirect
561. C₂×#539	D₇	semidirect
623. C₂×C₂²⋊D₇	#41	semidirect
853. #539	C₂×D₇	semidirect
868. C₂×#126	C₂×D₇	semidirect
869. C₂×#126	C₂×D₇	semidirect
875. C₂×#125	C₂×D₇	semidirect
876. C₂×#125	C₂×D₇	semidirect
901. C₂×#123	C₂×D₇	semidirect
902. C₂×#123	C₂×D₇	semidirect
903. C₂×#123	C₂×D₇	semidirect
932. C₂×C₂²⋊Q₈	C₂×D₇	semidirect
933. C₂×C₂²⋊Q₈	C₂×D₇	semidirect
934. C₂×C₂²⋊Q₈	C₂×D₇	semidirect
982. C₂×C₄×D₄	C₂×D₇	semidirect
1001. C₂²×C₄⋊C₄	C₂×D₇	semidirect
1086. C₂²⋊D₇	C₂×#41	semidirect
1228. #126	C₂²×D₇	semidirect
1229. #126	C₂²×D₇	semidirect
1235. #125	C₂²×D₇	semidirect
1236. #125	C₂²×D₇	semidirect
1259. #123	C₂²×D₇	semidirect
1260. #123	C₂²×D₇	semidirect
1261. #123	C₂²×D₇	semidirect
1288. C₂²⋊Q₈	C₂²×D₇	semidirect
1289. C₂²⋊Q₈	C₂²×D₇	semidirect
1290. C₂²⋊Q₈	C₂²×D₇	semidirect
1335. C₄×D₄	C₂²×D₇	semidirect
1400. C₂×C₄⋊C₄	C₂²×D₇	semidirect
1777. C₂×C₇	#3520	semidirect
1921. C₇	C₂×#3520	semidirect
1987. C₂	#11743524	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₇×#539	2
#11743524	2
C₂×#90396	2
C₂×#90398	2
C₂×#90393	2
C₂×#90397	2
C₂×#90384	2
C₂×#90383	2
C₂×#90381	2
C₂×#90379	2
C₂×#90350	2
C₂×#90349	2
C₂×#90346	2
C₂×#90345	2
C₂×#90341	2
C₂×#90353	2
C₂×#90347	2
C₂×#90328	2
C₂×#90324	2
C₂×D₇×C₂²⋊Q₈	2
C₂×#90327	2
C₂×#90323	2
C₂×#90331	2
C₂×#90301	2
C₂×#90289	2
C₂×#90238	2
C₂×C₄×D₄×D₇	2
C₂×#90255	2
C₂×#90237	2
C₂²×#6459	2
C₂×#90195	2
C₂×#3520	7

Subgroups — C2×#11743524 #14261805

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#11743524 #14261805