Subgroups — C₂×#11743736 #14261049

Order 1792.

7430 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#90519	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#90515	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#90495	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#90497	C₂	1	1	yes	maximal, characteristic, complemented
6	#11743736	C₂	1	32	yes	maximal, direct product factor
7	C₂×#90375	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#90360	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#90352	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#90341	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#90353	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#90347	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#90329	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#90337	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#90312	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#90308	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#90292	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#90302	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#90306	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#90310	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#90286	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#90278	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#90284	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#90283	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#90251	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#90250	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#90232	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#90255	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#90185	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂²×#6446	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#90186	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#90186	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
34	C₂³×C₇×D₄	C₂²	1	1	yes	characteristic
35	C₂³×C₂²⋊D₇	C₂²	1	1	yes	characteristic
36	C₂²×#1159	C₂²	1	1	yes	characteristic
37	C₂²×#1159	C₂²	1	1	yes	characteristic, complemented
38	C₂³×C₄×D₇	C₂²	1	1	yes	characteristic, complemented
39	C₇×#546	C₂²	1	16	yes	complemented
40	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₇×#123	C₂²	1	1	yes	characteristic
42	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₇×#121	C₂²	1	1	yes	characteristic
45	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₇×#120	C₂²	1	1	yes	characteristic
48	C₂×C₇×#120	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
50	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
51	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
52	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
53	C₂×#6516	C₂²	1	1	yes	characteristic
54	C₂×#6516	C₂²	1	1	yes	characteristic
55	C₂×#6516	C₂²	1	1	yes	characteristic
56	C₂×#6516	C₂²	1	1	yes	characteristic, complemented
57	C₂²×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
58	C₂²×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
59	C₂²×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
60	#90519	C₂²	1	16	yes	complemented
61	#90515	C₂²	1	16	yes	complemented
62	C₂×#6509	C₂²	1	1	yes	characteristic, complemented
63	C₂×#6509	C₂²	1	1	yes	characteristic, complemented
64	C₂×#6509	C₂²	1	1	yes	characteristic, complemented
65	C₂×#6507	C₂²	1	1	yes	characteristic, complemented
66	#90497	C₂²	1	16	yes	complemented
67	#90495	C₂²	1	16	yes	complemented
68	C₂×#6503	C₂²	1	1	yes	characteristic
69	C₂×#6503	C₂²	1	1	yes	characteristic, complemented
70	C₂×#6502	C₂²	1	1	yes	characteristic
71	C₂×#6502	C₂²	1	1	yes	characteristic
72	C₂×#6502	C₂²	1	1	yes	characteristic
73	C₂×#6502	C₂²	1	1	yes	characteristic
74	C₂×#6502	C₂²	1	1	yes	characteristic
75	C₂×#6502	C₂²	1	1	yes	characteristic
76	C₂×#6502	C₂²	1	1	yes	characteristic, complemented
77	C₂×#6502	C₂²	1	1	yes	characteristic, complemented
78	C₂×#6502	C₂²	1	1	yes	characteristic, complemented
79	C₂×#6502	C₂²	1	1	yes	characteristic, complemented
80	C₂×#6502	C₂²	1	1	yes	characteristic, complemented
81	C₂×#6501	C₂²	1	1	yes	characteristic, complemented
82	C₂×#6501	C₂²	1	1	yes	characteristic, complemented
83	C₂×#6501	C₂²	1	1	yes	characteristic, complemented
84	C₂×#6501	C₂²	1	1	yes	characteristic, complemented
85	C₂×#6500	C₂²	1	1	yes	characteristic
86	C₂×#6500	C₂²	1	1	yes	characteristic
87	C₂×#6500	C₂²	1	1	yes	characteristic, complemented
88	C₂×#6499	C₂²	1	1	yes	characteristic, complemented
89	C₂×#6499	C₂²	1	1	yes	characteristic, complemented
90	C₂×#6498	C₂²	1	1	yes	characteristic
91	C₂×#6498	C₂²	1	1	yes	characteristic
92	C₂×#6498	C₂²	1	1	yes	characteristic
93	C₂×#6498	C₂²	1	1	yes	characteristic, complemented
94	C₂×#6498	C₂²	1	1	yes	characteristic, complemented
95	C₂×#6498	C₂²	1	1	yes	characteristic, complemented
96	C₂×#6498	C₂²	1	1	yes	characteristic, complemented
97	C₂×#6498	C₂²	1	1	yes	characteristic, complemented
98	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic
99	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
100	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
101	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
102	C₂×#6493	C₂²	1	1	yes	characteristic, complemented
103	C₂×#6492	C₂²	1	1	yes	characteristic
104	C₂×#6492	C₂²	1	1	yes	characteristic
105	C₂×#6492	C₂²	1	1	yes	characteristic, complemented
106	C₂×#6492	C₂²	1	1	yes	characteristic, complemented
107	C₂×#6492	C₂²	1	1	yes	characteristic, complemented
108	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
109	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
110	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
111	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
115	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
116	C₂×#6489	C₂²	1	1	yes	characteristic, complemented
117	C₂×#6489	C₂²	1	1	yes	characteristic, complemented
118	C₂²×C₄⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
119	C₂×#6487	C₂²	1	1	yes	characteristic, complemented
120	C₂×#6487	C₂²	1	1	yes	characteristic, complemented
121	C₂×#6487	C₂²	1	1	yes	characteristic, complemented
122	C₂×#6487	C₂²	1	1	yes	characteristic, complemented
123	C₂²×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
124	C₂²×Dic₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
125	#90375	C₂²	1	16	yes	complemented
126	#90360	C₂²	1	16	yes	complemented
127	#90353	C₂²	1	16	yes	complemented
128	#90352	C₂²	1	16	yes	complemented
129	#90347	C₂²	1	16	yes	complemented
130	#90341	C₂²	1	16	yes	complemented
131	#90337	C₂²	1	16	yes	complemented
132	#90329	C₂²	1	16	yes	complemented
133	#90312	C₂²	1	16	yes	complemented
134	#90310	C₂²	1	16	yes	complemented
135	#90308	C₂²	1	16	yes	complemented
136	#90306	C₂²	1	16	yes	complemented
137	#90302	C₂²	1	16	yes	complemented
138	#90292	C₂²	1	16	yes	complemented
139	#90286	C₂²	1	16	yes	complemented
140	#90284	C₂²	1	16	yes	complemented
141	#90283	C₂²	1	16	yes	complemented
142	#90278	C₂²	1	16	yes	complemented
143	#90255	C₂²	1	16	yes	complemented
144	#90251	C₂²	1	16	yes	complemented
145	#90250	C₂²	1	16	yes	complemented
146	#90232	C₂²	1	16	yes	complemented
147	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
148	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
149	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
150	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
151	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
152	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
153	C₂×#6456	C₂²	1	1	yes	characteristic, complemented
154	C₂×#6456	C₂²	1	1	yes	characteristic, complemented
155	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	C₂×#6453	C₂²	1	1	yes	characteristic, complemented
157	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
158	C₂×#6452	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×#6451	C₂²	1	1	yes	characteristic, complemented
162	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
163	#90186	C₂²	1	16	yes	complemented
164	#90186	C₂²	1	16	yes	complemented
165	#90185	C₂²	1	16	yes	complemented
166	C₂×#6449	C₂²	1	1	yes	characteristic, complemented
167	C₂×#6449	C₂²	1	1	yes	characteristic, complemented
168	C₂×#6449	C₂²	1	1	yes	characteristic, complemented
169	C₂×#6448	C₂²	1	1	yes	characteristic
170	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
171	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
172	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
173	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
174	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
175	C₂×#6447	C₂²	1	1	yes	characteristic
176	C₂×#6447	C₂²	1	1	yes	characteristic, complemented
177	C₂×#6447	C₂²	1	1	yes	characteristic, complemented
178	C₂×#6447	C₂²	1	1	yes	characteristic, complemented
179	C₂×#6447	C₂²	1	1	yes	characteristic, complemented
180	C₂×#6446	C₂²	1	1	yes	characteristic
181	C₂×#6446	C₂²	1	1	yes	characteristic
182	C₂×#6446	C₂²	1	1	yes	characteristic
183	C₂×#6446	C₂²	1	1	yes	characteristic
184	C₂×#6446	C₂²	1	16	yes	complemented
185	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
186	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
187	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
188	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
189	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
190	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
191	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
192	C₂×#6445	C₂²	1	1	yes	characteristic, complemented
193	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
194	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
195	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
196	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
197	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
198	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
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×#6442	C₂²	1	1	yes	characteristic, complemented
203	C₂×#6442	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×#6441	C₂²	1	1	yes	characteristic, complemented
209	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
210	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
211	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
212	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
213	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
214	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
215	C₂×#6439	C₂²	1	1	yes	characteristic, complemented
216	C₂×#6438	C₂²	1	1	yes	characteristic, complemented
217	C₂×#6433	C₂²	1	1	yes	characteristic, complemented
218	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
219	C₂×#3533	—	7	1	no	maximal, Sylow
220	C₂⁵×C₇	C₂³	1	1	yes	characteristic
221	C₂⁵×C₇	C₂³	1	1	yes	characteristic
222	C₂⁴×D₇	C₂³	1	1	yes	characteristic
223	C₂×C₇×#41	—	4	4	no	—
224	C₂×C₇×#41	C₂³	1	8	yes	—
225	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
226	C₂²×C₇×D₄	—	4	4	no	—
227	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
228	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
229	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
230	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
231	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
232	C₂²×C₇×D₄	C₂³	1	8	yes	—
233	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
234	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
235	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
236	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
237	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
238	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
239	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
240	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
241	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
242	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
243	C₂²×C₂²⋊D₇	—	4	4	no	—
244	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
245	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
246	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
247	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
248	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
249	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
250	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
251	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
252	C₂²×C₂²⋊D₇	C₂³	1	8	yes	—
253	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
254	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
255	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
256	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
257	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
258	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
259	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
260	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
261	C₂³×Dic₇	C₂³	1	1	yes	characteristic
262	C₂³×Dic₇	C₂³	1	1	yes	characteristic
263	C₂³×Dic₇	C₂³	1	1	yes	characteristic
264	C₂³×Dic₇	C₂³	1	1	yes	characteristic
265	C₂³×Dic₇	C₂³	1	1	yes	characteristic
266	C₂³×Dic₇	C₂³	1	1	yes	characteristic
267	C₂³×Dic₇	C₂³	1	1	yes	characteristic
268	C₂³×Dic₇	C₂³	1	1	yes	characteristic
269	C₂³×Dic₇	C₂³	1	1	yes	characteristic
270	C₂×#1159	—	4	4	no	—
271	C₂×#1159	—	4	4	no	—
272	C₂×#1159	C₂³	1	8	yes	—
273	C₂×#1159	C₂³	1	8	yes	complemented
274	C₂²×D₂₈	C₂³	1	1	yes	characteristic
275	C₂²×D₂₈	C₂³	1	1	yes	characteristic
276	C₂²×C₄×D₇	—	4	4	no	—
277	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
278	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
279	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
280	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
281	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
282	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
283	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
284	C₂²×C₄×D₇	C₂³	1	8	yes	complemented
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	C₇×#124	C₂³	1	8	yes	complemented
290	C₇×#123	C₂³	1	8	yes	—
291	C₇×#123	C₂³	1	8	yes	complemented
292	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
293	C₇×#121	C₂³	1	8	yes	—
294	C₇×#121	C₂³	1	8	yes	complemented
295	C₇×#121	C₂³	1	8	yes	complemented
296	C₇×#120	C₂³	1	8	yes	—
297	C₇×#120	C₂³	1	8	yes	complemented
298	C₄×C₇×D₄	C₂³	1	8	yes	—
299	C₄×C₇×D₄	C₂³	1	8	yes	complemented
300	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
317	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
318	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
319	#6516	C₂³	1	8	yes	—
320	#6516	C₂³	1	8	yes	—
321	#6516	C₂³	1	8	yes	—
322	#6516	C₂³	1	8	yes	complemented
323	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊Dic₇	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	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊Dic₇	C₂³	1	8	yes	—
343	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊Dic₇	C₂³	1	8	yes	—
347	C₂×C₂²⋊Dic₇	C₂³	1	8	yes	complemented
348	#6509	C₂³	1	8	yes	complemented
349	#6509	C₂³	1	8	yes	complemented
350	#6509	C₂³	1	8	yes	complemented
351	#6507	C₂³	1	8	yes	complemented
352	#6503	C₂³	1	8	yes	—
353	#6503	C₂³	1	8	yes	complemented
354	#6502	C₂³	1	8	yes	—
355	#6502	C₂³	1	8	yes	—
356	#6502	C₂³	1	8	yes	—
357	#6502	C₂³	1	8	yes	—
358	#6502	C₂³	1	8	yes	—
359	#6502	C₂³	1	8	yes	—
360	#6502	C₂³	1	8	yes	complemented
361	#6502	C₂³	1	8	yes	complemented
362	#6502	C₂³	1	8	yes	complemented
363	#6502	C₂³	1	8	yes	complemented
364	#6502	C₂³	1	8	yes	complemented
365	#6501	C₂³	1	8	yes	complemented
366	#6501	C₂³	1	8	yes	complemented
367	#6501	C₂³	1	8	yes	complemented
368	#6501	C₂³	1	8	yes	complemented
369	#6500	C₂³	1	8	yes	—
370	#6500	C₂³	1	8	yes	—
371	#6500	C₂³	1	8	yes	complemented
372	#6499	C₂³	1	8	yes	complemented
373	#6499	C₂³	1	8	yes	complemented
374	#6498	C₂³	1	8	yes	—
375	#6498	C₂³	1	8	yes	—
376	#6498	C₂³	1	8	yes	—
377	#6498	C₂³	1	8	yes	complemented
378	#6498	C₂³	1	8	yes	complemented
379	#6498	C₂³	1	8	yes	complemented
380	#6498	C₂³	1	8	yes	complemented
381	#6498	C₂³	1	8	yes	complemented
382	D₄×Dic₇	C₂³	1	8	yes	—
383	D₄×Dic₇	C₂³	1	8	yes	complemented
384	D₄×Dic₇	C₂³	1	8	yes	complemented
385	D₄×Dic₇	C₂³	1	8	yes	complemented
386	#6493	C₂³	1	8	yes	complemented
387	#6492	C₂³	1	8	yes	—
388	#6492	C₂³	1	8	yes	—
389	#6492	C₂³	1	8	yes	complemented
390	#6492	C₂³	1	8	yes	complemented
391	#6492	C₂³	1	8	yes	complemented
392	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
393	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
394	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
395	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
396	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
397	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
398	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
399	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
400	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
401	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
402	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
403	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
404	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
405	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
406	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
407	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
408	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
409	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
410	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
411	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
412	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
413	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
414	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
415	C₂×(C₂×D₇)⋊C₄	C₂³	1	8	yes	complemented
416	#6489	C₂³	1	8	yes	complemented
417	#6489	C₂³	1	8	yes	complemented
418	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
419	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
420	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
421	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
422	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
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	8	yes	complemented
429	#6487	C₂³	1	8	yes	complemented
430	#6487	C₂³	1	8	yes	complemented
431	#6487	C₂³	1	8	yes	complemented
432	#6487	C₂³	1	8	yes	complemented
433	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
434	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
435	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
436	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
437	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
438	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
439	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
440	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
441	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
442	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
443	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
444	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
445	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
446	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
447	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
448	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
449	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
450	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
451	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
452	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
453	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
454	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
455	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
456	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
457	C₂×Dic₇⋊C₄	C₂³	1	8	yes	complemented
458	C₂×Dic₇⋊C₄	C₂³	1	8	yes	complemented
459	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
460	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
461	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
462	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
463	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
464	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
465	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
466	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
467	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
468	#6461	C₂³	1	8	yes	complemented
469	#6461	C₂³	1	8	yes	complemented
470	#6461	C₂³	1	8	yes	complemented
471	#6459	C₂³	1	8	yes	complemented
472	#6459	C₂³	1	8	yes	complemented
473	#6457	C₂³	1	8	yes	complemented
474	#6456	C₂³	1	8	yes	complemented
475	#6456	C₂³	1	8	yes	complemented
476	D₇×C₄⋊C₄	C₂³	1	8	yes	complemented
477	#6453	C₂³	1	8	yes	complemented
478	#6452	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	#6450	C₂³	1	8	yes	complemented
484	#6449	C₂³	1	8	yes	complemented
485	#6449	C₂³	1	8	yes	complemented
486	#6449	C₂³	1	8	yes	complemented
487	#6448	C₂³	1	8	yes	—
488	#6448	C₂³	1	8	yes	complemented
489	#6448	C₂³	1	8	yes	complemented
490	#6448	C₂³	1	8	yes	complemented
491	#6448	C₂³	1	8	yes	complemented
492	#6448	C₂³	1	8	yes	complemented
493	#6447	C₂³	1	8	yes	—
494	#6447	C₂³	1	8	yes	complemented
495	#6447	C₂³	1	8	yes	complemented
496	#6447	C₂³	1	8	yes	complemented
497	#6447	C₂³	1	8	yes	complemented
498	#6446	C₂³	1	8	yes	—
499	#6446	C₂³	1	8	yes	—
500	#6446	C₂³	1	8	yes	—
501	#6446	C₂³	1	8	yes	—
502	#6446	C₂³	1	8	yes	complemented
503	#6446	C₂³	1	8	yes	complemented
504	#6446	C₂³	1	8	yes	complemented
505	#6446	C₂³	1	8	yes	complemented
506	#6446	C₂³	1	8	yes	complemented
507	#6446	C₂³	1	8	yes	complemented
508	#6446	C₂³	1	8	yes	complemented
509	#6445	C₂³	1	8	yes	complemented
510	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
511	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
512	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
513	#6442	C₂³	1	8	yes	complemented
514	#6442	C₂³	1	8	yes	complemented
515	#6442	C₂³	1	8	yes	complemented
516	#6442	C₂³	1	8	yes	complemented
517	#6442	C₂³	1	8	yes	complemented
518	#6442	C₂³	1	8	yes	complemented
519	#6442	C₂³	1	8	yes	complemented
520	#6442	C₂³	1	8	yes	complemented
521	#6441	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	#6440	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	#6440	C₂³	1	8	yes	complemented
532	#6439	C₂³	1	8	yes	complemented
533	#6438	C₂³	1	8	yes	complemented
534	#6433	C₂³	1	8	yes	complemented
535	C₄×Dic₁₄	C₂³	1	8	yes	complemented
536	#3533	—	7	32	no	—
537	C₂×#563	—	7	1	no	—
538	C₂×#562	—	7	1	no	—
539	C₂×#562	—	7	1	no	—
540	C₂×#560	—	7	1	no	—
541	C₂×#559	—	7	1	no	—
542	C₂×#553	—	7	1	no	—
543	C₂×#553	—	7	1	no	—
544	C₂×#552	—	7	1	no	—
545	C₂×#552	—	7	1	no	—
546	C₂×#551	—	7	1	no	—
547	C₂×#551	—	7	1	no	—
548	C₂×#551	—	7	1	no	—
549	C₂×#547	—	7	1	no	—
550	C₂×#547	—	7	1	no	—
551	C₂×#546	—	7	1	no	—
552	C₂×#546	D₇	1	1	yes	characteristic, complemented
553	C₂×#542	—	7	1	no	—
554	C₂×#542	—	7	1	no	—
555	C₂×#540	—	7	1	no	—
556	C₂×#540	—	7	1	no	—
557	C₂×#539	—	7	1	no	—
558	C₂×#539	—	7	1	no	—
559	C₂×#538	—	7	1	no	—
560	C₂×#538	—	7	1	no	—
561	C₂×#538	—	7	1	no	—
562	C₂×#538	—	7	1	no	—
563	C₂×#535	—	7	1	no	—
564	C₂×#534	—	7	1	no	—
565	C₂×#525	—	7	1	no	—
566	C₂×#525	—	7	1	no	—
567	C₂²×#123	—	7	1	no	—
568	C₂⁴×C₇	—	2	4	no	—
569	C₂⁴×C₇	—	4	2	no	—
570	C₂⁴×C₇	—	4	2	no	—
571	C₂⁴×C₇	—	4	2	no	—
572	C₂⁴×C₇	—	4	2	no	—
573	C₂⁴×C₇	—	4	2	no	—
574	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
575	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
576	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
577	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
578	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
579	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
580	C₂⁴×C₇	C₂⁴	1	4	yes	—
581	C₂⁴×C₇	C₂⁴	1	4	yes	—
582	C₂³×D₇	—	2	4	no	—
583	C₂³×D₇	—	4	2	no	—
584	C₂³×D₇	—	4	2	no	—
585	C₂³×D₇	C₂⁴	1	1	yes	characteristic
586	C₂³×D₇	C₂⁴	1	1	yes	characteristic
587	C₂³×D₇	C₂⁴	1	1	yes	characteristic
588	C₂³×D₇	C₂⁴	1	4	yes	—
589	C₇×#41	—	4	16	no	—
590	C₂×C₇×Q₈	—	4	2	no	—
591	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
592	C₂×C₇×D₄	—	2	4	no	—
593	C₂×C₇×D₄	—	2	4	no	—
594	C₂×C₇×D₄	—	2	4	no	—
595	C₂×C₇×D₄	—	4	2	no	—
596	C₂×C₇×D₄	—	4	2	no	—
597	C₂×C₇×D₄	—	4	2	no	—
598	C₂×C₇×D₄	—	4	2	no	—
599	C₂×C₇×D₄	—	4	2	no	—
600	C₂×C₇×D₄	—	4	2	no	—
601	C₂×C₇×D₄	—	4	16	no	—
602	C₂×C₇×D₄	C₂⁴	1	4	yes	—
603	C₂×C₇×D₄	C₂⁴	1	4	yes	—
604	C₂×C₇×D₄	C₂⁴	1	4	yes	—
605	C₂×C₇×D₄	C₂⁴	1	4	yes	—
606	C₂×C₇×D₄	C₂⁴	1	4	yes	—
607	C₂×C₇×D₄	C₂⁴	1	4	yes	—
608	C₂×C₇×D₄	C₂⁴	1	4	yes	—
609	C₂×C₇×D₄	C₂⁴	1	4	yes	—
610	C₂×C₇×D₄	C₂⁴	1	4	yes	—
611	C₂²×C₄×C₇	—	2	4	no	—
612	C₂²×C₄×C₇	—	4	2	no	—
613	C₂²×C₄×C₇	—	4	2	no	—
614	C₂²×C₄×C₇	—	4	2	no	—
615	C₂²×C₄×C₇	—	4	2	no	—
616	C₂²×C₄×C₇	—	4	2	no	—
617	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
618	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
619	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
620	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
621	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
622	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
623	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
624	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
625	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
626	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
627	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
628	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
629	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
630	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
631	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
632	C₂×C₂²⋊D₇	—	2	4	no	—
633	C₂×C₂²⋊D₇	—	4	2	no	—
634	C₂×C₂²⋊D₇	—	4	2	no	—
635	C₂×C₂²⋊D₇	—	4	2	no	—
636	C₂×C₂²⋊D₇	—	4	2	no	—
637	C₂×C₂²⋊D₇	—	4	2	no	—
638	C₂×C₂²⋊D₇	—	4	2	no	—
639	C₂×C₂²⋊D₇	—	4	16	no	—
640	C₂×C₂²⋊D₇	—	4	2	no	—
641	C₂×C₂²⋊D₇	—	4	2	no	—
642	C₂×C₂²⋊D₇	—	4	2	no	—
643	C₂×C₂²⋊D₇	—	4	2	no	—
644	C₂×C₂²⋊D₇	—	4	2	no	—
645	C₂×C₂²⋊D₇	—	4	2	no	—
646	C₂×C₂²⋊D₇	—	4	2	no	—
647	C₂×C₂²⋊D₇	—	4	2	no	—
648	C₂×C₂²⋊D₇	—	4	2	no	—
649	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
650	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
651	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
652	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
653	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
654	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
655	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
656	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
657	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
658	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
659	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
660	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
661	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
662	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
663	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
664	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
665	C₂²×Dic₇	—	2	4	no	—
666	C₂²×Dic₇	—	2	4	no	—
667	C₂²×Dic₇	—	4	2	no	—
668	C₂²×Dic₇	—	4	2	no	—
669	C₂²×Dic₇	—	4	2	no	—
670	C₂²×Dic₇	—	4	2	no	—
671	C₂²×Dic₇	—	4	2	no	—
672	C₂²×Dic₇	—	4	2	no	—
673	C₂²×Dic₇	—	4	2	no	—
674	C₂²×Dic₇	C₂⁴	1	4	yes	—
675	C₂²×Dic₇	C₂⁴	1	4	yes	—
676	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
677	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
678	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
679	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
680	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
681	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
682	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
683	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
684	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
685	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
686	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
687	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
688	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
689	C₂²×Dic₇	C₂⁴	1	4	yes	—
690	C₂²×Dic₇	C₂⁴	1	4	yes	—
691	C₂²×Dic₇	C₂⁴	1	4	yes	—
692	C₂²×Dic₇	C₂⁴	1	4	yes	—
693	C₂²×Dic₇	C₂⁴	1	4	yes	—
694	C₂²×Dic₇	C₂⁴	1	4	yes	—
695	C₂²×Dic₇	C₂⁴	1	4	yes	—
696	#1159	—	4	16	no	—
697	#1159	—	4	16	no	—
698	C₂×D₂₈	—	4	2	no	—
699	C₂×D₂₈	—	4	2	no	—
700	C₂×D₂₈	C₂⁴	1	4	yes	—
701	C₂×D₂₈	C₂⁴	1	4	yes	—
702	C₂×C₄×D₇	—	4	2	no	—
703	C₂×C₄×D₇	—	4	2	no	—
704	C₂×C₄×D₇	—	4	2	no	—
705	C₂×C₄×D₇	—	4	2	no	—
706	C₂×C₄×D₇	—	4	16	no	—
707	C₂×C₄×D₇	—	4	2	no	—
708	C₂×C₄×D₇	—	4	2	no	—
709	C₂×C₄×D₇	—	4	2	no	—
710	C₂×C₄×D₇	C₂⁴	1	4	yes	—
711	C₂×C₄×D₇	C₂⁴	1	4	yes	—
712	C₂×C₄×D₇	C₂⁴	1	4	yes	—
713	C₂×C₄×D₇	C₂⁴	1	4	yes	—
714	C₂×C₄×D₇	C₂⁴	1	4	yes	—
715	C₂×C₄×D₇	C₂⁴	1	4	yes	—
716	C₂×C₄×D₇	C₂⁴	1	4	yes	—
717	C₂×Dic₁₄	—	4	2	no	—
718	C₂×Dic₁₄	—	4	2	no	—
719	C₂×Dic₁₄	—	4	2	no	—
720	C₂×Dic₁₄	—	4	2	no	—
721	C₂×Dic₁₄	C₂⁴	1	4	yes	—
722	C₂×Dic₁₄	C₂⁴	1	4	yes	—
723	C₂×Dic₁₄	C₂⁴	1	4	yes	—
724	C₂×Dic₁₄	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×C₂²⋊C₄	C₂⁴	1	4	yes	—
730	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
731	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
732	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
733	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
734	C₇×C₂²⋊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	C₄²×C₇	C₂⁴	1	4	yes	—
742	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
743	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
744	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
745	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
746	C₂²⋊Dic₇	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	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
756	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
757	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
758	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
759	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
760	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
761	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
762	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
763	C₂²⋊Dic₇	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	(C₂×D₇)⋊C₄	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	C₄⋊Dic₇	C₂⁴	1	4	yes	—
788	C₄⋊Dic₇	C₂⁴	1	4	yes	—
789	C₄⋊Dic₇	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	Dic₇⋊C₄	C₂⁴	1	4	yes	—
812	Dic₇⋊C₄	C₂⁴	1	4	yes	—
813	Dic₇⋊C₄	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	C₂×D₇	1	1	yes	characteristic
826	C₂³×D₄	—	7	1	no	—
827	C₂³×D₄	C₂×D₇	1	1	yes	characteristic
828	C₂⁴×C₄	—	7	1	no	—
829	#563	—	7	16	no	—
830	#562	—	7	16	no	—
831	#562	—	7	16	no	—
832	#560	—	7	16	no	—
833	#559	—	7	16	no	—
834	#553	—	7	16	no	—
835	#553	—	7	16	no	—
836	#552	—	7	16	no	—
837	#552	—	7	16	no	—
838	#551	—	7	16	no	—
839	#551	—	7	16	no	—
840	#551	—	7	16	no	—
841	#547	—	7	16	no	—
842	#547	—	7	16	no	—
843	#546	—	7	16	no	—
844	#546	C₂×D₇	1	16	yes	complemented
845	#542	—	7	16	no	—
846	#542	—	7	16	no	—
847	#540	—	7	16	no	—
848	#540	—	7	16	no	—
849	#539	—	7	16	no	—
850	#539	—	7	16	no	—
851	#538	—	7	16	no	—
852	#538	—	7	16	no	—
853	#538	—	7	16	no	—
854	#538	—	7	16	no	—
855	#535	—	7	16	no	—
856	#534	—	7	16	no	—
857	C₂×C₄⋊Q₈	—	7	1	no	—
858	C₂×C₄⋊Q₈	—	7	1	no	—
859	C₂×#127	—	7	1	no	—
860	C₂×#127	—	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	—	7	1	no	—
869	C₂×#126	—	7	1	no	—
870	C₂×#126	—	7	1	no	—
871	C₂×#126	—	7	1	no	—
872	C₂×#126	—	7	1	no	—
873	C₂×#125	—	7	1	no	—
874	C₂×#125	—	7	1	no	—
875	C₂×#125	—	7	1	no	—
876	C₂×#125	—	7	1	no	—
877	C₂×#125	—	7	1	no	—
878	C₂×#125	—	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	C₂×#124	—	7	1	no	—
885	C₂×#124	—	7	1	no	—
886	C₂×#124	—	7	1	no	—
887	C₂×#124	—	7	1	no	—
888	C₂×#124	C₂×D₇	1	1	yes	characteristic, complemented
889	#525	—	7	16	no	—
890	#525	—	7	16	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	—	7	1	no	—
901	C₂×#123	—	7	1	no	—
902	C₂×#123	—	7	1	no	—
903	C₂×#123	—	7	1	no	—
904	C₂×#123	—	7	1	no	—
905	C₂×#123	—	7	1	no	—
906	C₂×#123	—	7	1	no	—
907	C₂×#123	—	7	1	no	—
908	C₂×#123	—	7	1	no	—
909	C₂×#123	—	7	1	no	—
910	C₂×#123	—	7	1	no	—
911	C₂×#123	—	7	1	no	—
912	C₂×#123	—	7	1	no	—
913	C₂×#123	—	7	16	no	—
914	C₂×#123	—	7	1	no	—
915	C₂×#123	—	7	1	no	—
916	C₂×#123	—	7	1	no	—
917	C₂×#123	—	7	1	no	—
918	C₂×#123	—	7	1	no	—
919	C₂×#123	—	7	1	no	—
920	C₂×#123	C₂×D₇	1	1	yes	characteristic
921	C₂×#123	C₂×D₇	1	1	yes	characteristic, complemented
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	1	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	—	7	1	no	—
933	C₂×C₂²⋊Q₈	—	7	1	no	—
934	C₂×C₂²⋊Q₈	—	7	1	no	—
935	C₂×C₂²⋊Q₈	—	7	1	no	—
936	C₂×C₂²⋊Q₈	—	7	1	no	—
937	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
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	—	7	1	no	—
944	C₂×#121	—	7	1	no	—
945	C₂×#121	—	7	1	no	—
946	C₂×#121	—	7	1	no	—
947	C₂×#121	—	7	1	no	—
948	C₂×#121	—	7	1	no	—
949	C₂×#121	—	7	1	no	—
950	C₂×#121	—	7	1	no	—
951	C₂×#121	—	7	1	no	—
952	C₂×#121	—	7	1	no	—
953	C₂×#121	—	7	1	no	—
954	C₂×#121	—	7	1	no	—
955	C₂×#121	—	7	1	no	—
956	C₂×#121	—	7	1	no	—
957	C₂×#121	—	7	1	no	—
958	C₂×#121	—	7	1	no	—
959	C₂×#121	C₂×D₇	1	1	yes	characteristic
960	C₂×#121	C₂×D₇	1	1	yes	characteristic, complemented
961	C₂×#121	C₂×D₇	1	1	yes	characteristic, complemented
962	C₂×#120	—	7	1	no	—
963	C₂×#120	—	7	1	no	—
964	C₂×#120	—	7	1	no	—
965	C₂×#120	—	7	1	no	—
966	C₂×#120	—	7	1	no	—
967	C₂×#120	—	7	1	no	—
968	C₂×#120	—	7	1	no	—
969	C₂×#120	—	7	1	no	—
970	C₂×#120	C₂×D₇	1	1	yes	characteristic
971	C₂×#120	C₂×D₇	1	1	yes	characteristic, complemented
972	C₂×C₄×Q₈	—	7	1	no	—
973	C₂×C₄×Q₈	—	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	—	7	1	no	—
982	C₂×C₄×D₄	—	7	1	no	—
983	C₂×C₄×D₄	—	7	1	no	—
984	C₂×C₄×D₄	—	7	1	no	—
985	C₂×C₄×D₄	—	7	1	no	—
986	C₂×C₄×D₄	—	7	1	no	—
987	C₂×C₄×D₄	—	7	1	no	—
988	C₂×C₄×D₄	—	7	1	no	—
989	C₂×C₄×D₄	—	7	1	no	—
990	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic
991	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic, complemented
992	C₂×#117	—	7	1	no	—
993	C₂×#117	—	7	1	no	—
994	C₂×#117	—	7	1	no	—
995	C₂×#117	—	7	1	no	—
996	C₂×#117	—	7	1	no	—
997	C₂×#117	—	7	1	no	—
998	C₂×#117	—	7	1	no	—
999	C₂²×C₄⋊C₄	—	7	1	no	—
1000	C₂²×C₄⋊C₄	—	7	1	no	—
1001	C₂²×C₄⋊C₄	—	7	1	no	—
1002	C₂²×C₄⋊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	C₂×D₇	1	1	yes	characteristic
1008	C₂²×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic, complemented
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	—	2	2	no	—
1018	C₂³×C₇	—	2	2	no	—
1019	C₂³×C₇	—	2	2	no	—
1020	C₂³×C₇	—	2	2	no	—
1021	C₂³×C₇	—	2	2	no	—
1022	C₂³×C₇	—	2	2	no	—
1023	C₂³×C₇	—	2	2	no	—
1024	C₂³×C₇	—	2	2	no	—
1025	C₂³×C₇	—	2	2	no	—
1026	C₂³×C₇	—	2	8	no	—
1027	C₂³×C₇	—	4	4	no	—
1028	C₂³×C₇	—	4	4	no	—
1029	C₂³×C₇	—	4	4	no	—
1030	C₂³×C₇	—	4	4	no	—
1031	C₂³×C₇	—	4	4	no	—
1032	C₂³×C₇	—	8	8	no	—
1033	C₂³×C₇	—	8	8	no	—
1034	C₂³×C₇	H(5,𝔽₂)	1	4	yes	—
1035	C₂³×C₇	C₂⁵	1	2	yes	—
1036	C₂³×C₇	C₂⁵	1	2	yes	—
1037	C₂³×C₇	C₂⁵	1	2	yes	—
1038	C₂³×C₇	C₂⁵	1	2	yes	—
1039	C₂³×C₇	C₂⁵	1	2	yes	—
1040	C₂³×C₇	C₂⁵	1	2	yes	—
1041	C₂³×C₇	C₂⁵	1	1	yes	characteristic
1042	C₂²×D₇	—	2	2	no	—
1043	C₂²×D₇	—	2	8	no	—
1044	C₂²×D₇	—	2	2	no	—
1045	C₂²×D₇	—	2	2	no	—
1046	C₂²×D₇	—	2	2	no	—
1047	C₂²×D₇	—	2	2	no	—
1048	C₂²×D₇	—	2	2	no	—
1049	C₂²×D₇	—	2	2	no	—
1050	C₂²×D₇	—	2	2	no	—
1051	C₂²×D₇	—	2	2	no	—
1052	C₂²×D₇	—	4	4	no	—
1053	C₂²×D₇	—	4	4	no	—
1054	C₂²×D₇	—	4	16	no	—
1055	C₂²×D₇	C₂⁵	1	2	yes	—
1056	C₂²×D₇	C₂⁵	1	2	yes	—
1057	C₂²×D₇	C₂⁵	1	2	yes	—
1058	C₇×Q₈	—	4	4	no	—
1059	C₇×D₄	—	2	8	no	—
1060	C₇×D₄	—	2	8	no	—
1061	C₇×D₄	—	2	8	no	—
1062	C₇×D₄	—	4	4	no	—
1063	C₇×D₄	—	4	4	no	—
1064	C₇×D₄	—	4	4	no	—
1065	C₇×D₄	—	4	4	no	—
1066	C₇×D₄	—	4	4	no	—
1067	C₇×D₄	—	4	4	no	—
1068	C₂×C₄×C₇	—	2	2	no	—
1069	C₂×C₄×C₇	—	2	2	no	—
1070	C₂×C₄×C₇	—	2	2	no	—
1071	C₂×C₄×C₇	—	2	2	no	—
1072	C₂×C₄×C₇	—	2	8	no	—
1073	C₂×C₄×C₇	—	2	2	no	—
1074	C₂×C₄×C₇	—	2	2	no	—
1075	C₂×C₄×C₇	—	2	2	no	—
1076	C₂×C₄×C₇	—	2	2	no	—
1077	C₂×C₄×C₇	—	2	2	no	—
1078	C₂×C₄×C₇	—	4	4	no	—
1079	C₂×C₄×C₇	—	4	4	no	—
1080	C₂×C₄×C₇	—	4	4	no	—
1081	C₂×C₄×C₇	—	4	4	no	—
1082	C₂×C₄×C₇	—	4	4	no	—
1083	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1084	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1085	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1086	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1087	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1088	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1089	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1090	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1091	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1092	C₂²⋊D₇	—	2	8	no	—
1093	C₂²⋊D₇	—	4	4	no	—
1094	C₂²⋊D₇	—	4	4	no	—
1095	C₂²⋊D₇	—	4	4	no	—
1096	C₂²⋊D₇	—	4	4	no	—
1097	C₂²⋊D₇	—	4	4	no	—
1098	C₂²⋊D₇	—	4	4	no	—
1099	C₂²⋊D₇	—	4	4	no	—
1100	C₂²⋊D₇	—	4	4	no	—
1101	C₂²⋊D₇	—	4	4	no	—
1102	C₂²⋊D₇	—	4	4	no	—
1103	C₂²⋊D₇	—	4	4	no	—
1104	C₂²⋊D₇	—	4	4	no	—
1105	C₂²⋊D₇	—	4	4	no	—
1106	C₂²⋊D₇	—	4	4	no	—
1107	C₂²⋊D₇	—	4	4	no	—
1108	C₂×Dic₇	—	2	2	no	—
1109	C₂×Dic₇	—	2	2	no	—
1110	C₂×Dic₇	—	2	2	no	—
1111	C₂×Dic₇	—	2	2	no	—
1112	C₂×Dic₇	—	2	8	no	—
1113	C₂×Dic₇	—	2	2	no	—
1114	C₂×Dic₇	—	2	8	no	—
1115	C₂×Dic₇	—	2	2	no	—
1116	C₂×Dic₇	—	2	2	no	—
1117	C₂×Dic₇	—	2	2	no	—
1118	C₂×Dic₇	—	2	2	no	—
1119	C₂×Dic₇	—	2	2	no	—
1120	C₂×Dic₇	—	2	2	no	—
1121	C₂×Dic₇	—	2	2	no	—
1122	C₂×Dic₇	—	2	2	no	—
1123	C₂×Dic₇	—	4	4	no	—
1124	C₂×Dic₇	—	4	4	no	—
1125	C₂×Dic₇	—	4	4	no	—
1126	C₂×Dic₇	—	4	4	no	—
1127	C₂×Dic₇	—	4	4	no	—
1128	C₂×Dic₇	—	4	4	no	—
1129	C₂×Dic₇	—	4	4	no	—
1130	C₂×Dic₇	C₂⁵	1	2	yes	—
1131	C₂×Dic₇	C₂⁵	1	2	yes	—
1132	C₂×Dic₇	C₂⁵	1	2	yes	—
1133	C₂×Dic₇	C₂⁵	1	2	yes	—
1134	C₂×Dic₇	C₂⁵	1	2	yes	—
1135	C₂×Dic₇	C₂⁵	1	2	yes	—
1136	C₂×Dic₇	C₂⁵	1	2	yes	—
1137	C₂×Dic₇	C₂⁵	1	2	yes	—
1138	C₂×Dic₇	C₂⁵	1	2	yes	—
1139	C₂×Dic₇	C₂⁵	1	2	yes	—
1140	C₂×Dic₇	C₂⁵	1	2	yes	—
1141	C₂×Dic₇	C₂⁵	1	2	yes	—
1142	C₂×Dic₇	C₂⁵	1	2	yes	—
1143	D₂₈	—	4	4	no	—
1144	D₂₈	—	4	4	no	—
1145	C₄×D₇	—	4	4	no	—
1146	C₄×D₇	—	4	4	no	—
1147	C₄×D₇	—	4	4	no	—
1148	C₄×D₇	—	4	4	no	—
1149	C₄×D₇	—	4	4	no	—
1150	C₄×D₇	—	4	4	no	—
1151	C₄×D₇	—	4	4	no	—
1152	Dic₁₄	—	4	4	no	—
1153	Dic₁₄	—	4	4	no	—
1154	Dic₁₄	—	4	4	no	—
1155	Dic₁₄	—	4	4	no	—
1156	C₂⁵	—	7	1	no	—
1157	C₂⁵	C₂²×D₇	1	1	yes	characteristic
1158	C₂⁵	C₂²×D₇	1	1	yes	characteristic
1159	C₂×#41	—	4	4	no	—
1160	C₂×#41	—	7	8	no	—
1161	C₂×#41	—	7	8	no	—
1162	C₂×#41	—	28	4	no	—
1163	C₂×#41	—	28	4	no	—
1164	C₂×#41	C₂²×D₇	1	8	yes	—
1165	C₂²×Q₈	—	7	1	no	—
1166	C₂²×Q₈	—	7	1	no	—
1167	C₂²×Q₈	—	7	1	no	—
1168	C₂²×Q₈	—	7	1	no	—
1169	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1170	C₂²×D₄	—	4	4	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	1	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	—	7	1	no	—
1182	C₂²×D₄	—	7	1	no	—
1183	C₂²×D₄	—	7	1	no	—
1184	C₂²×D₄	—	7	1	no	—
1185	C₂²×D₄	—	7	1	no	—
1186	C₂²×D₄	—	7	1	no	—
1187	C₂²×D₄	—	7	8	no	—
1188	C₂²×D₄	—	7	1	no	—
1189	C₂²×D₄	—	7	1	no	—
1190	C₂²×D₄	—	28	4	no	—
1191	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1192	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1193	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1194	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1195	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1196	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1197	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1198	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1199	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1200	C₂²×D₄	C₂²×D₇	1	8	yes	—
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	1	no	—
1208	C₂³×C₄	—	7	1	no	—
1209	C₂³×C₄	—	7	1	no	—
1210	C₂³×C₄	—	7	1	no	—
1211	C₂³×C₄	—	7	1	no	—
1212	C₂³×C₄	—	7	1	no	—
1213	C₂³×C₄	—	7	1	no	—
1214	C₂³×C₄	—	7	1	no	—
1215	C₂³×C₄	—	7	1	no	—
1216	C₂³×C₄	—	7	1	no	—
1217	C₂³×C₄	—	7	8	no	—
1218	C₂³×C₄	—	28	4	no	—
1219	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1220	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1221	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1222	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1223	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1224	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1225	C₄⋊Q₈	—	7	8	no	—
1226	C₄⋊Q₈	—	7	8	no	—
1227	#127	—	7	8	no	—
1228	#127	—	7	8	no	—
1229	#126	—	7	8	no	—
1230	#126	—	7	8	no	—
1231	#126	—	7	8	no	—
1232	#126	—	7	8	no	—
1233	#126	—	7	8	no	—
1234	#126	—	7	8	no	—
1235	#126	—	7	8	no	—
1236	#126	—	7	8	no	—
1237	#126	—	7	8	no	—
1238	#126	—	7	8	no	—
1239	#126	—	7	8	no	—
1240	#126	—	7	8	no	—
1241	#125	—	7	8	no	—
1242	#125	—	7	8	no	—
1243	#125	—	7	8	no	—
1244	#125	—	7	8	no	—
1245	#125	—	7	8	no	—
1246	#125	—	7	8	no	—
1247	#124	—	7	8	no	—
1248	#124	—	7	8	no	—
1249	#124	—	7	8	no	—
1250	#124	—	7	8	no	—
1251	#124	—	7	8	no	—
1252	#124	—	7	8	no	—
1253	#124	—	7	8	no	—
1254	#124	—	7	8	no	—
1255	#124	—	7	8	no	—
1256	#124	C₂²×D₇	1	8	yes	complemented
1257	#123	—	7	8	no	—
1258	#123	—	7	8	no	—
1259	#123	—	7	8	no	—
1260	#123	—	7	8	no	—
1261	#123	—	7	8	no	—
1262	#123	—	7	8	no	—
1263	#123	—	7	8	no	—
1264	#123	—	7	8	no	—
1265	#123	—	7	8	no	—
1266	#123	—	7	8	no	—
1267	#123	—	7	8	no	—
1268	#123	—	7	8	no	—
1269	#123	—	7	8	no	—
1270	#123	—	7	8	no	—
1271	#123	—	7	8	no	—
1272	#123	—	7	8	no	—
1273	#123	—	7	8	no	—
1274	#123	—	7	8	no	—
1275	#123	—	7	8	no	—
1276	#123	—	7	8	no	—
1277	#123	—	7	8	no	—
1278	#123	—	7	8	no	—
1279	#123	—	7	8	no	—
1280	#123	—	7	8	no	—
1281	#123	—	7	8	no	—
1282	#123	—	7	8	no	—
1283	#123	—	7	8	no	—
1284	#123	—	7	8	no	—
1285	#123	C₂²×D₇	1	8	yes	—
1286	#123	C₂²×D₇	1	8	yes	complemented
1287	C₂²⋊Q₈	—	7	8	no	—
1288	C₂²⋊Q₈	—	7	8	no	—
1289	C₂²⋊Q₈	—	7	8	no	—
1290	C₂²⋊Q₈	—	7	8	no	—
1291	C₂²⋊Q₈	—	7	8	no	—
1292	C₂²⋊Q₈	—	7	8	no	—
1293	C₂²⋊Q₈	—	7	8	no	—
1294	C₂²⋊Q₈	—	7	8	no	—
1295	C₂²⋊Q₈	—	7	8	no	—
1296	C₂²⋊Q₈	—	7	8	no	—
1297	C₂²⋊Q₈	—	7	8	no	—
1298	C₂²⋊Q₈	—	7	8	no	—
1299	C₂²⋊Q₈	—	7	8	no	—
1300	C₂²⋊Q₈	—	7	8	no	—
1301	C₂²⋊Q₈	—	7	8	no	—
1302	C₂²⋊Q₈	C₂²×D₇	1	8	yes	complemented
1303	#121	—	7	8	no	—
1304	#121	—	7	8	no	—
1305	#121	—	7	8	no	—
1306	#121	—	7	8	no	—
1307	#121	—	7	8	no	—
1308	#121	—	7	8	no	—
1309	#121	—	7	8	no	—
1310	#121	—	7	8	no	—
1311	#121	—	7	8	no	—
1312	#121	—	7	8	no	—
1313	#121	—	7	8	no	—
1314	#121	—	7	8	no	—
1315	#121	—	7	8	no	—
1316	#121	—	7	8	no	—
1317	#121	—	7	8	no	—
1318	#121	—	7	8	no	—
1319	#121	—	7	8	no	—
1320	#121	—	7	8	no	—
1321	#121	—	7	8	no	—
1322	#121	—	7	8	no	—
1323	#121	—	7	8	no	—
1324	#121	C₂²×D₇	1	8	yes	—
1325	#121	C₂²×D₇	1	8	yes	complemented
1326	#121	C₂²×D₇	1	8	yes	complemented
1327	#120	—	7	8	no	—
1328	#120	—	7	8	no	—
1329	#120	—	7	8	no	—
1330	#120	—	7	8	no	—
1331	#120	—	7	8	no	—
1332	#120	—	7	8	no	—
1333	#120	—	7	8	no	—
1334	#120	—	7	8	no	—
1335	#120	C₂²×D₇	1	8	yes	—
1336	#120	C₂²×D₇	1	8	yes	complemented
1337	C₄×Q₈	—	7	8	no	—
1338	C₄×Q₈	—	7	8	no	—
1339	C₄×D₄	—	7	8	no	—
1340	C₄×D₄	—	7	8	no	—
1341	C₄×D₄	—	7	8	no	—
1342	C₄×D₄	—	7	8	no	—
1343	C₄×D₄	—	7	8	no	—
1344	C₄×D₄	—	7	8	no	—
1345	C₄×D₄	—	7	8	no	—
1346	C₄×D₄	—	7	8	no	—
1347	C₄×D₄	—	7	8	no	—
1348	C₄×D₄	—	7	8	no	—
1349	C₄×D₄	—	7	8	no	—
1350	C₄×D₄	—	7	8	no	—
1351	C₄×D₄	—	7	8	no	—
1352	C₄×D₄	—	7	8	no	—
1353	C₄×D₄	—	7	8	no	—
1354	C₄×D₄	—	7	8	no	—
1355	C₄×D₄	C₂²×D₇	1	8	yes	—
1356	C₄×D₄	C₂²×D₇	1	8	yes	complemented
1357	#117	—	7	8	no	—
1358	#117	—	7	8	no	—
1359	#117	—	7	8	no	—
1360	#117	—	7	8	no	—
1361	#117	—	7	8	no	—
1362	#117	—	7	8	no	—
1363	#117	—	7	8	no	—
1364	C₂×C₄⋊C₄	—	7	1	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	1	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	8	no	—
1378	C₂×C₄⋊C₄	—	7	8	no	—
1379	C₂×C₄⋊C₄	—	7	8	no	—
1380	C₂×C₄⋊C₄	—	7	1	no	—
1381	C₂×C₄⋊C₄	—	7	1	no	—
1382	C₂×C₄⋊C₄	—	7	1	no	—
1383	C₂×C₄⋊C₄	—	7	1	no	—
1384	C₂×C₄⋊C₄	—	7	1	no	—
1385	C₂×C₄⋊C₄	—	7	1	no	—
1386	C₂×C₄⋊C₄	—	7	1	no	—
1387	C₂×C₄⋊C₄	—	7	1	no	—
1388	C₂×C₄⋊C₄	—	7	1	no	—
1389	C₂×C₄⋊C₄	—	7	1	no	—
1390	C₂×C₄⋊C₄	—	7	1	no	—
1391	C₂×C₄⋊C₄	—	7	1	no	—
1392	C₂×C₄⋊C₄	—	7	1	no	—
1393	C₂×C₄⋊C₄	—	7	1	no	—
1394	C₂×C₄⋊C₄	—	7	1	no	—
1395	C₂×C₄⋊C₄	—	7	1	no	—
1396	C₂×C₄⋊C₄	—	7	1	no	—
1397	C₂×C₄⋊C₄	—	7	1	no	—
1398	C₂×C₄⋊C₄	—	7	1	no	—
1399	C₂×C₄⋊C₄	—	7	1	no	—
1400	C₂×C₄⋊C₄	—	7	1	no	—
1401	C₂×C₄⋊C₄	—	7	8	no	—
1402	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1403	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1404	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1405	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
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	8	no	—
1418	C₂×C₂²⋊C₄	—	7	8	no	—
1419	C₂×C₂²⋊C₄	—	7	8	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	1	no	—
1424	C₂×C₂²⋊C₄	—	7	1	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	1	no	—
1437	C₂×C₂²⋊C₄	—	7	1	no	—
1438	C₂×C₂²⋊C₄	—	7	1	no	—
1439	C₂×C₂²⋊C₄	—	7	1	no	—
1440	C₂×C₂²⋊C₄	—	7	1	no	—
1441	C₂×C₂²⋊C₄	—	7	1	no	—
1442	C₂×C₂²⋊C₄	—	7	1	no	—
1443	C₂×C₂²⋊C₄	—	7	1	no	—
1444	C₂×C₂²⋊C₄	—	7	1	no	—
1445	C₂×C₂²⋊C₄	—	7	1	no	—
1446	C₂×C₂²⋊C₄	—	7	1	no	—
1447	C₂×C₂²⋊C₄	—	7	1	no	—
1448	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1449	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1450	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1451	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1452	C₂×C₂²⋊C₄	C₂²×D₇	1	8	yes	—
1453	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1454	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1455	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1456	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1457	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1458	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1459	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1460	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1461	C₂×C₂²⋊C₄	C₂²×D₇	1	8	yes	complemented
1462	C₂×C₄²	—	7	1	no	—
1463	C₂×C₄²	—	7	1	no	—
1464	C₂×C₄²	—	7	1	no	—
1465	C₂×C₄²	—	7	1	no	—
1466	C₂×C₄²	—	7	1	no	—
1467	C₂×C₄²	—	7	1	no	—
1468	C₂×C₄²	—	7	1	no	—
1469	C₂×C₄²	—	7	1	no	—
1470	C₂×C₄²	—	7	1	no	—
1471	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1472	C₂²×C₇	—	2	2	no	—
1473	C₂²×C₇	—	2	2	no	—
1474	C₂²×C₇	—	2	8	no	—
1475	C₂²×C₇	—	2	2	no	—
1476	C₂²×C₇	—	2	2	no	—
1477	C₂²×C₇	—	2	2	no	—
1478	C₂²×C₇	—	2	2	no	—
1479	C₂²×C₇	—	2	2	no	—
1480	C₂²×C₇	—	2	2	no	—
1481	C₂²×C₇	—	2	2	no	—
1482	C₂²×C₇	—	2	2	no	—
1483	C₂²×C₇	—	2	2	no	—
1484	C₂²×C₇	—	2	2	no	—
1485	C₂²×C₇	—	2	2	no	—
1486	C₂²×C₇	—	2	2	no	—
1487	C₂²×C₇	—	2	2	no	—
1488	C₂²×C₇	—	2	2	no	—
1489	C₂²×C₇	—	2	2	no	—
1490	C₂²×C₇	—	4	4	no	—
1491	C₂²×C₇	—	4	4	no	—
1492	C₂²×C₇	—	4	4	no	—
1493	C₂²×C₇	—	4	4	no	—
1494	C₂²×C₇	—	4	4	no	—
1495	C₂²×C₇	—	8	8	no	—
1496	C₂²×C₇	—	8	8	no	—
1497	C₂²×C₇	C₂×H(5,𝔽₂)	1	4	yes	—
1498	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1499	C₂²×C₇	#585	1	2	yes	—
1500	C₂²×C₇	#585	1	2	yes	—
1501	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1502	C₂×D₇	—	2	2	no	—
1503	C₂×D₇	—	2	2	no	—
1504	C₂×D₇	—	2	2	no	—
1505	C₂×D₇	—	2	2	no	—
1506	C₂×D₇	—	2	2	no	—
1507	C₂×D₇	—	2	2	no	—
1508	C₂×D₇	—	2	2	no	—
1509	C₂×D₇	—	2	2	no	—
1510	C₂×D₇	—	2	2	no	—
1511	C₂×D₇	—	4	16	no	—
1512	C₂×D₇	—	4	4	no	—
1513	C₂×D₇	—	4	4	no	—
1514	C₂×D₇	—	4	4	no	—
1515	C₄×C₇	—	2	2	no	—
1516	C₄×C₇	—	2	2	no	—
1517	C₄×C₇	—	2	2	no	—
1518	C₄×C₇	—	2	2	no	—
1519	C₄×C₇	—	2	2	no	—
1520	C₄×C₇	—	2	2	no	—
1521	C₄×C₇	—	2	2	no	—
1522	C₄×C₇	—	2	2	no	—
1523	C₄×C₇	—	2	2	no	—
1524	Dic₇	—	2	2	no	—
1525	Dic₇	—	2	2	no	—
1526	Dic₇	—	2	2	no	—
1527	Dic₇	—	2	2	no	—
1528	Dic₇	—	2	2	no	—
1529	Dic₇	—	2	2	no	—
1530	Dic₇	—	2	2	no	—
1531	Dic₇	—	2	2	no	—
1532	Dic₇	—	2	2	no	—
1533	Dic₇	—	2	2	no	—
1534	Dic₇	—	2	2	no	—
1535	Dic₇	—	2	2	no	—
1536	Dic₇	—	2	2	no	—
1537	C₂⁴	—	2	4	no	—
1538	C₂⁴	—	4	2	no	—
1539	C₂⁴	—	4	2	no	—
1540	C₂⁴	—	4	2	no	—
1541	C₂⁴	—	4	2	no	—
1542	C₂⁴	—	4	2	no	—
1543	C₂⁴	—	7	1	no	—
1544	C₂⁴	—	7	1	no	—
1545	C₂⁴	—	7	1	no	—
1546	C₂⁴	—	7	4	no	—
1547	C₂⁴	—	14	4	no	—
1548	C₂⁴	—	28	2	no	—
1549	C₂⁴	—	28	2	no	—
1550	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1551	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1552	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1553	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1554	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1555	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1556	C₂⁴	C₂³×D₇	1	4	yes	—
1557	C₂⁴	C₂³×D₇	1	4	yes	—
1558	#41	—	4	16	no	—
1559	#41	—	28	16	no	—
1560	#41	—	28	16	no	—
1561	C₂×Q₈	—	4	2	no	—
1562	C₂×Q₈	—	7	4	no	—
1563	C₂×Q₈	—	7	4	no	—
1564	C₂×Q₈	—	7	4	no	—
1565	C₂×Q₈	—	7	4	no	—
1566	C₂×Q₈	—	28	2	no	—
1567	C₂×Q₈	—	28	2	no	—
1568	C₂×Q₈	—	28	2	no	—
1569	C₂×Q₈	—	28	2	no	—
1570	C₂×Q₈	C₂³×D₇	1	4	yes	—
1571	C₂×D₄	—	2	4	no	—
1572	C₂×D₄	—	2	4	no	—
1573	C₂×D₄	—	2	4	no	—
1574	C₂×D₄	—	4	2	no	—
1575	C₂×D₄	—	4	2	no	—
1576	C₂×D₄	—	4	2	no	—
1577	C₂×D₄	—	4	2	no	—
1578	C₂×D₄	—	4	2	no	—
1579	C₂×D₄	—	4	2	no	—
1580	C₂×D₄	—	4	16	no	—
1581	C₂×D₄	—	7	4	no	—
1582	C₂×D₄	—	7	4	no	—
1583	C₂×D₄	—	7	4	no	—
1584	C₂×D₄	—	7	4	no	—
1585	C₂×D₄	—	7	4	no	—
1586	C₂×D₄	—	7	4	no	—
1587	C₂×D₄	—	7	4	no	—
1588	C₂×D₄	—	7	4	no	—
1589	C₂×D₄	—	7	4	no	—
1590	C₂×D₄	—	7	4	no	—
1591	C₂×D₄	—	7	4	no	—
1592	C₂×D₄	—	7	4	no	—
1593	C₂×D₄	—	7	4	no	—
1594	C₂×D₄	—	7	4	no	—
1595	C₂×D₄	—	7	4	no	—
1596	C₂×D₄	—	7	4	no	—
1597	C₂×D₄	—	7	4	no	—
1598	C₂×D₄	—	7	4	no	—
1599	C₂×D₄	—	14	4	no	—
1600	C₂×D₄	—	28	2	no	—
1601	C₂×D₄	—	28	2	no	—
1602	C₂×D₄	—	28	2	no	—
1603	C₂×D₄	—	28	2	no	—
1604	C₂×D₄	—	28	2	no	—
1605	C₂×D₄	—	28	2	no	—
1606	C₂×D₄	—	28	16	no	—
1607	C₂×D₄	—	28	2	no	—
1608	C₂×D₄	—	28	2	no	—
1609	C₂×D₄	—	28	2	no	—
1610	C₂×D₄	—	28	2	no	—
1611	C₂×D₄	—	28	2	no	—
1612	C₂×D₄	—	28	2	no	—
1613	C₂×D₄	—	28	2	no	—
1614	C₂×D₄	—	28	2	no	—
1615	C₂×D₄	—	28	2	no	—
1616	C₂×D₄	—	28	2	no	—
1617	C₂×D₄	—	28	2	no	—
1618	C₂×D₄	C₂³×D₇	1	4	yes	—
1619	C₂×D₄	C₂³×D₇	1	4	yes	—
1620	C₂×D₄	C₂³×D₇	1	4	yes	—
1621	C₂×D₄	C₂³×D₇	1	4	yes	—
1622	C₂×D₄	C₂³×D₇	1	4	yes	—
1623	C₂×D₄	C₂³×D₇	1	4	yes	—
1624	C₂×D₄	C₂³×D₇	1	4	yes	—
1625	C₂×D₄	C₂³×D₇	1	4	yes	—
1626	C₂×D₄	C₂³×D₇	1	4	yes	—
1627	C₂²×C₄	—	2	4	no	—
1628	C₂²×C₄	—	4	2	no	—
1629	C₂²×C₄	—	4	2	no	—
1630	C₂²×C₄	—	4	2	no	—
1631	C₂²×C₄	—	4	2	no	—
1632	C₂²×C₄	—	4	2	no	—
1633	C₂²×C₄	—	7	4	no	—
1634	C₂²×C₄	—	7	4	no	—
1635	C₂²×C₄	—	7	1	no	—
1636	C₂²×C₄	—	7	1	no	—
1637	C₂²×C₄	—	7	1	no	—
1638	C₂²×C₄	—	7	1	no	—
1639	C₂²×C₄	—	7	1	no	—
1640	C₂²×C₄	—	7	1	no	—
1641	C₂²×C₄	—	7	1	no	—
1642	C₂²×C₄	—	7	1	no	—
1643	C₂²×C₄	—	7	1	no	—
1644	C₂²×C₄	—	7	1	no	—
1645	C₂²×C₄	—	7	1	no	—
1646	C₂²×C₄	—	7	1	no	—
1647	C₂²×C₄	—	7	1	no	—
1648	C₂²×C₄	—	7	4	no	—
1649	C₂²×C₄	—	7	4	no	—
1650	C₂²×C₄	—	7	4	no	—
1651	C₂²×C₄	—	7	4	no	—
1652	C₂²×C₄	—	7	4	no	—
1653	C₂²×C₄	—	7	4	no	—
1654	C₂²×C₄	—	7	4	no	—
1655	C₂²×C₄	—	7	4	no	—
1656	C₂²×C₄	—	7	4	no	—
1657	C₂²×C₄	—	7	4	no	—
1658	C₂²×C₄	—	7	4	no	—
1659	C₂²×C₄	—	7	4	no	—
1660	C₂²×C₄	—	7	4	no	—
1661	C₂²×C₄	—	7	4	no	—
1662	C₂²×C₄	—	14	4	no	—
1663	C₂²×C₄	—	14	4	no	—
1664	C₂²×C₄	—	28	2	no	—
1665	C₂²×C₄	—	28	2	no	—
1666	C₂²×C₄	—	28	2	no	—
1667	C₂²×C₄	—	28	2	no	—
1668	C₂²×C₄	—	28	2	no	—
1669	C₂²×C₄	—	28	16	no	—
1670	C₂²×C₄	—	28	2	no	—
1671	C₂²×C₄	—	28	2	no	—
1672	C₂²×C₄	—	28	2	no	—
1673	C₂²×C₄	—	28	2	no	—
1674	C₂²×C₄	—	28	2	no	—
1675	C₂²×C₄	—	28	2	no	—
1676	C₂²×C₄	—	28	2	no	—
1677	C₂²×C₄	—	28	2	no	—
1678	C₂²×C₄	—	28	2	no	—
1679	C₂²×C₄	C₂³×D₇	1	4	yes	—
1680	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1681	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1682	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1683	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1684	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1685	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1686	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1687	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1688	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1689	C₂²×C₄	C₂³×D₇	1	4	yes	—
1690	C₂²×C₄	C₂³×D₇	1	4	yes	—
1691	C₂²×C₄	C₂³×D₇	1	4	yes	—
1692	C₂²×C₄	C₂³×D₇	1	4	yes	—
1693	C₂²×C₄	C₂³×D₇	1	4	yes	—
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	—	7	4	no	—
1705	C₄⋊C₄	—	7	4	no	—
1706	C₄⋊C₄	—	7	4	no	—
1707	C₄⋊C₄	—	7	4	no	—
1708	C₄⋊C₄	—	7	4	no	—
1709	C₄⋊C₄	—	7	4	no	—
1710	C₄⋊C₄	—	7	4	no	—
1711	C₄⋊C₄	—	7	4	no	—
1712	C₄⋊C₄	—	7	4	no	—
1713	C₄⋊C₄	—	7	4	no	—
1714	C₄⋊C₄	—	7	4	no	—
1715	C₄⋊C₄	—	7	4	no	—
1716	C₄⋊C₄	—	7	4	no	—
1717	C₄⋊C₄	—	7	4	no	—
1718	C₄⋊C₄	—	7	4	no	—
1719	C₄⋊C₄	—	7	4	no	—
1720	C₄⋊C₄	—	7	4	no	—
1721	C₄⋊C₄	—	7	4	no	—
1722	C₄⋊C₄	—	7	4	no	—
1723	C₄⋊C₄	—	7	4	no	—
1724	C₄⋊C₄	—	7	4	no	—
1725	C₄⋊C₄	—	7	4	no	—
1726	C₄⋊C₄	—	7	4	no	—
1727	C₄⋊C₄	—	7	4	no	—
1728	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1729	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1730	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1731	C₄⋊C₄	C₂³×D₇	1	4	yes	—
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	—	7	4	no	—
1751	C₂²⋊C₄	—	7	4	no	—
1752	C₂²⋊C₄	—	7	4	no	—
1753	C₂²⋊C₄	—	7	4	no	—
1754	C₂²⋊C₄	—	7	4	no	—
1755	C₂²⋊C₄	—	7	4	no	—
1756	C₂²⋊C₄	—	7	4	no	—
1757	C₂²⋊C₄	—	7	4	no	—
1758	C₂²⋊C₄	—	7	4	no	—
1759	C₂²⋊C₄	—	7	4	no	—
1760	C₂²⋊C₄	—	7	4	no	—
1761	C₂²⋊C₄	—	7	4	no	—
1762	C₂²⋊C₄	—	7	4	no	—
1763	C₂²⋊C₄	—	7	4	no	—
1764	C₂²⋊C₄	—	7	4	no	—
1765	C₂²⋊C₄	—	7	4	no	—
1766	C₂²⋊C₄	—	7	4	no	—
1767	C₂²⋊C₄	—	7	4	no	—
1768	C₂²⋊C₄	—	7	4	no	—
1769	C₂²⋊C₄	—	7	4	no	—
1770	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1771	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1772	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1773	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1774	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1775	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1776	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1777	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1778	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1779	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1780	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1781	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1782	C₄²	—	7	4	no	—
1783	C₄²	—	7	4	no	—
1784	C₄²	—	7	4	no	—
1785	C₄²	—	7	4	no	—
1786	C₄²	—	7	4	no	—
1787	C₄²	—	7	4	no	—
1788	C₄²	—	7	4	no	—
1789	C₄²	—	7	4	no	—
1790	C₄²	—	7	4	no	—
1791	C₄²	C₂³×D₇	1	4	yes	—
1792	C₂×C₇	—	2	4	no	—
1793	C₂×C₇	—	4	2	no	—
1794	C₂×C₇	—	4	2	no	—
1795	C₂×C₇	—	4	2	no	—
1796	C₂×C₇	—	4	2	no	—
1797	C₂×C₇	—	4	2	no	—
1798	C₂×C₇	#3533	1	4	yes	complemented
1799	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1800	C₂×C₇	C₂×#585	1	1	yes	characteristic
1801	C₂×C₇	C₂×#585	1	1	yes	characteristic
1802	D₇	—	4	2	no	—
1803	D₇	—	4	2	no	—
1804	D₇	—	4	2	no	—
1805	C₂³	—	2	2	no	—
1806	C₂³	—	2	2	no	—
1807	C₂³	—	2	2	no	—
1808	C₂³	—	2	2	no	—
1809	C₂³	—	2	2	no	—
1810	C₂³	—	2	2	no	—
1811	C₂³	—	2	2	no	—
1812	C₂³	—	2	2	no	—
1813	C₂³	—	2	2	no	—
1814	C₂³	—	2	2	no	—
1815	C₂³	—	2	2	no	—
1816	C₂³	—	2	2	no	—
1817	C₂³	—	2	2	no	—
1818	C₂³	—	2	2	no	—
1819	C₂³	—	2	2	no	—
1820	C₂³	—	2	2	no	—
1821	C₂³	—	2	2	no	—
1822	C₂³	—	2	8	no	—
1823	C₂³	—	4	4	no	—
1824	C₂³	—	4	4	no	—
1825	C₂³	—	4	4	no	—
1826	C₂³	—	4	4	no	—
1827	C₂³	—	4	4	no	—
1828	C₂³	—	7	2	no	—
1829	C₂³	—	7	2	no	—
1830	C₂³	—	7	2	no	—
1831	C₂³	—	8	8	no	—
1832	C₂³	—	8	8	no	—
1833	C₂³	—	14	2	no	—
1834	C₂³	—	14	8	no	—
1835	C₂³	—	14	2	no	—
1836	C₂³	—	14	2	no	—
1837	C₂³	—	14	2	no	—
1838	C₂³	—	14	2	no	—
1839	C₂³	—	14	2	no	—
1840	C₂³	—	14	2	no	—
1841	C₂³	—	14	2	no	—
1842	C₂³	—	14	2	no	—
1843	C₂³	—	28	4	no	—
1844	C₂³	—	28	4	no	—
1845	C₂³	—	28	16	no	—
1846	C₂³	#6548	1	4	yes	—
1847	C₂³	C₂⁴×D₇	1	2	yes	—
1848	C₂³	C₂⁴×D₇	1	2	yes	—
1849	C₂³	C₂⁴×D₇	1	2	yes	—
1850	C₂³	C₂⁴×D₇	1	2	yes	—
1851	C₂³	C₂⁴×D₇	1	2	yes	—
1852	C₂³	C₂⁴×D₇	1	2	yes	—
1853	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1854	Q₈	—	4	4	no	—
1855	Q₈	—	28	4	no	—
1856	Q₈	—	28	4	no	—
1857	Q₈	—	28	4	no	—
1858	Q₈	—	28	4	no	—
1859	D₄	—	2	8	no	—
1860	D₄	—	2	8	no	—
1861	D₄	—	2	8	no	—
1862	D₄	—	4	4	no	—
1863	D₄	—	4	4	no	—
1864	D₄	—	4	4	no	—
1865	D₄	—	4	4	no	—
1866	D₄	—	4	4	no	—
1867	D₄	—	4	4	no	—
1868	D₄	—	14	8	no	—
1869	D₄	—	28	4	no	—
1870	D₄	—	28	4	no	—
1871	D₄	—	28	4	no	—
1872	D₄	—	28	4	no	—
1873	D₄	—	28	4	no	—
1874	D₄	—	28	4	no	—
1875	D₄	—	28	4	no	—
1876	D₄	—	28	4	no	—
1877	D₄	—	28	4	no	—
1878	D₄	—	28	4	no	—
1879	D₄	—	28	4	no	—
1880	D₄	—	28	4	no	—
1881	D₄	—	28	4	no	—
1882	D₄	—	28	4	no	—
1883	D₄	—	28	4	no	—
1884	D₄	—	28	4	no	—
1885	D₄	—	28	4	no	—
1886	C₂×C₄	—	2	2	no	—
1887	C₂×C₄	—	2	2	no	—
1888	C₂×C₄	—	2	8	no	—
1889	C₂×C₄	—	2	2	no	—
1890	C₂×C₄	—	2	2	no	—
1891	C₂×C₄	—	2	2	no	—
1892	C₂×C₄	—	2	2	no	—
1893	C₂×C₄	—	2	2	no	—
1894	C₂×C₄	—	2	2	no	—
1895	C₂×C₄	—	2	2	no	—
1896	C₂×C₄	—	4	4	no	—
1897	C₂×C₄	—	4	4	no	—
1898	C₂×C₄	—	4	4	no	—
1899	C₂×C₄	—	4	4	no	—
1900	C₂×C₄	—	4	4	no	—
1901	C₂×C₄	—	7	2	no	—
1902	C₂×C₄	—	7	2	no	—
1903	C₂×C₄	—	7	2	no	—
1904	C₂×C₄	—	7	2	no	—
1905	C₂×C₄	—	7	2	no	—
1906	C₂×C₄	—	7	2	no	—
1907	C₂×C₄	—	7	2	no	—
1908	C₂×C₄	—	7	2	no	—
1909	C₂×C₄	—	7	2	no	—
1910	C₂×C₄	—	7	2	no	—
1911	C₂×C₄	—	7	2	no	—
1912	C₂×C₄	—	7	2	no	—
1913	C₂×C₄	—	7	2	no	—
1914	C₂×C₄	—	14	2	no	—
1915	C₂×C₄	—	14	2	no	—
1916	C₂×C₄	—	14	2	no	—
1917	C₂×C₄	—	14	8	no	—
1918	C₂×C₄	—	14	2	no	—
1919	C₂×C₄	—	14	8	no	—
1920	C₂×C₄	—	14	2	no	—
1921	C₂×C₄	—	14	2	no	—
1922	C₂×C₄	—	14	2	no	—
1923	C₂×C₄	—	14	2	no	—
1924	C₂×C₄	—	14	2	no	—
1925	C₂×C₄	—	14	2	no	—
1926	C₂×C₄	—	14	2	no	—
1927	C₂×C₄	—	14	2	no	—
1928	C₂×C₄	—	14	2	no	—
1929	C₂×C₄	—	28	4	no	—
1930	C₂×C₄	—	28	4	no	—
1931	C₂×C₄	—	28	4	no	—
1932	C₂×C₄	—	28	4	no	—
1933	C₂×C₄	—	28	4	no	—
1934	C₂×C₄	—	28	4	no	—
1935	C₂×C₄	—	28	4	no	—
1936	C₂×C₄	—	28	4	no	—
1937	C₂×C₄	—	28	4	no	—
1938	C₂×C₄	—	28	4	no	—
1939	C₂×C₄	—	28	4	no	—
1940	C₂×C₄	—	28	4	no	—
1941	C₂×C₄	—	28	4	no	—
1942	C₂×C₄	—	28	4	no	—
1943	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1944	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1945	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1946	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1947	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1948	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1949	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1950	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1951	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1952	C₇	C₂×#3533	1	1	yes	characteristic, complemented, Sylow
1953	C₂²	—	2	2	no	—
1954	C₂²	—	2	2	no	—
1955	C₂²	—	2	8	no	—
1956	C₂²	—	2	2	no	—
1957	C₂²	—	2	2	no	—
1958	C₂²	—	2	2	no	—
1959	C₂²	—	2	2	no	—
1960	C₂²	—	2	2	no	—
1961	C₂²	—	2	2	no	—
1962	C₂²	—	2	2	no	—
1963	C₂²	—	2	2	no	—
1964	C₂²	—	2	2	no	—
1965	C₂²	—	2	2	no	—
1966	C₂²	—	2	2	no	—
1967	C₂²	—	2	2	no	—
1968	C₂²	—	2	2	no	—
1969	C₂²	—	2	2	no	—
1970	C₂²	—	2	2	no	—
1971	C₂²	—	4	4	no	—
1972	C₂²	—	4	4	no	—
1973	C₂²	—	4	4	no	—
1974	C₂²	—	4	4	no	—
1975	C₂²	—	4	4	no	—
1976	C₂²	—	8	8	no	—
1977	C₂²	—	8	8	no	—
1978	C₂²	—	14	2	no	—
1979	C₂²	—	14	2	no	—
1980	C₂²	—	14	2	no	—
1981	C₂²	—	14	2	no	—
1982	C₂²	—	14	2	no	—
1983	C₂²	—	14	2	no	—
1984	C₂²	—	14	2	no	—
1985	C₂²	—	14	2	no	—
1986	C₂²	—	14	2	no	—
1987	C₂²	—	28	16	no	—
1988	C₂²	—	28	4	no	—
1989	C₂²	—	28	4	no	—
1990	C₂²	—	28	4	no	—
1991	C₂²	C₂×#6548	1	4	yes	—
1992	C₂²	C₂×#6548	1	2	yes	—
1993	C₂²	#90616	1	2	yes	—
1994	C₂²	#90618	1	2	yes	—
1995	C₂²	C₂⁵×D₇	1	1	yes	characteristic
1996	C₄	—	2	2	no	—
1997	C₄	—	2	2	no	—
1998	C₄	—	2	2	no	—
1999	C₄	—	2	2	no	—
2000	C₄	—	2	2	no	—
2001	C₄	—	2	2	no	—
2002	C₄	—	2	2	no	—
2003	C₄	—	2	2	no	—
2004	C₄	—	2	2	no	—
2005	C₄	—	14	2	no	—
2006	C₄	—	14	2	no	—
2007	C₄	—	14	2	no	—
2008	C₄	—	14	2	no	—
2009	C₄	—	14	2	no	—
2010	C₄	—	14	2	no	—
2011	C₄	—	14	2	no	—
2012	C₄	—	14	2	no	—
2013	C₄	—	14	2	no	—
2014	C₄	—	14	2	no	—
2015	C₄	—	14	2	no	—
2016	C₄	—	14	2	no	—
2017	C₄	—	14	2	no	—
2018	C₂	—	2	4	no	—
2019	C₂	—	4	2	no	—
2020	C₂	—	4	2	no	—
2021	C₂	—	4	2	no	—
2022	C₂	—	4	2	no	—
2023	C₂	—	4	2	no	—
2024	C₂	—	28	2	no	—
2025	C₂	—	28	2	no	—
2026	C₂	—	28	2	no	—
2027	C₂	#11743736	1	4	yes	direct product factor
2028	C₂	C₂²×#6548	1	1	yes	characteristic
2029	C₂	C₂×#90616	1	1	yes	characteristic
2030	C₂	C₂×#90618	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇
commutator, cosocle	C₂²×C₇	C₂⁶
Frattini	C₂²	C₂⁵×D₇
Fitting	C₂×C₇×#546	C₂
socle	C₂³×C₇	C₂⁵
hypercenter	C₂×#546	D₇
hypocenter	C₇	C₂×#3533
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ C₂×#546

Complements

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

N	H ≅ G/N	type
1. C₂×C₇×#546	C₂	semidirect
2. C₂×#90519	C₂	semidirect
3. C₂×#90515	C₂	semidirect
4. C₂×#90495	C₂	semidirect
5. C₂×#90497	C₂	semidirect
6. #11743736	C₂	direct (N × H)
7. C₂×#90375	C₂	semidirect
8. C₂×#90360	C₂	semidirect
9. C₂×#90352	C₂	semidirect
10. C₂×#90341	C₂	semidirect
11. C₂×#90353	C₂	semidirect
12. C₂×#90347	C₂	semidirect
13. C₂×#90329	C₂	semidirect
14. C₂×#90337	C₂	semidirect
15. C₂×#90312	C₂	semidirect
16. C₂×#90308	C₂	semidirect
17. C₂×#90292	C₂	semidirect
18. C₂×#90302	C₂	semidirect
19. C₂×#90306	C₂	semidirect
20. C₂×#90310	C₂	semidirect
21. C₂×#90286	C₂	semidirect
22. C₂×#90278	C₂	semidirect
23. C₂×#90284	C₂	semidirect
24. C₂×#90283	C₂	semidirect
25. C₂×#90251	C₂	semidirect
26. C₂×#90250	C₂	semidirect
27. C₂×#90232	C₂	semidirect
28. C₂×#90255	C₂	semidirect
29. C₂×#90185	C₂	semidirect
30. C₂²×#6446	C₂	semidirect
31. C₂×#90186	C₂	semidirect
32. C₂×#90186	C₂	semidirect
37. C₂²×#1159	C₂²	semidirect
38. C₂³×C₄×D₇	C₂²	semidirect
39. C₇×#546	C₂²	semidirect
40. C₂×C₇×#124	C₂²	semidirect
42. C₂×C₇×#123	C₂²	semidirect
43. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
45. C₂×C₇×#121	C₂²	semidirect
46. C₂×C₇×#121	C₂²	semidirect
48. C₂×C₇×#120	C₂²	semidirect
50. C₂×C₄×C₇×D₄	C₂²	semidirect
52. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
56. C₂×#6516	C₂²	semidirect
59. C₂²×C₂²⋊Dic₇	C₂²	semidirect
60. #90519	C₂²	semidirect
61. #90515	C₂²	semidirect
62. C₂×#6509	C₂²	semidirect
63. C₂×#6509	C₂²	semidirect
64. C₂×#6509	C₂²	semidirect
65. C₂×#6507	C₂²	semidirect
66. #90497	C₂²	semidirect
67. #90495	C₂²	semidirect
69. C₂×#6503	C₂²	semidirect
76. C₂×#6502	C₂²	semidirect
77. C₂×#6502	C₂²	semidirect
78. C₂×#6502	C₂²	semidirect
79. C₂×#6502	C₂²	semidirect
80. C₂×#6502	C₂²	semidirect
81. C₂×#6501	C₂²	semidirect
82. C₂×#6501	C₂²	semidirect
83. C₂×#6501	C₂²	semidirect
84. C₂×#6501	C₂²	semidirect
87. C₂×#6500	C₂²	semidirect
88. C₂×#6499	C₂²	semidirect
89. C₂×#6499	C₂²	semidirect
93. C₂×#6498	C₂²	semidirect
94. C₂×#6498	C₂²	semidirect
95. C₂×#6498	C₂²	semidirect
96. C₂×#6498	C₂²	semidirect
97. C₂×#6498	C₂²	semidirect
99. C₂×D₄×Dic₇	C₂²	semidirect
100. C₂×D₄×Dic₇	C₂²	semidirect
101. C₂×D₄×Dic₇	C₂²	semidirect
102. C₂×#6493	C₂²	semidirect
105. C₂×#6492	C₂²	semidirect
106. C₂×#6492	C₂²	semidirect
107. C₂×#6492	C₂²	semidirect
108. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
109. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
110. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
111. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
112. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
113. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
114. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
115. C₂²×(C₂×D₇)⋊C₄	C₂²	semidirect
116. C₂×#6489	C₂²	semidirect
117. C₂×#6489	C₂²	semidirect
118. C₂²×C₄⋊Dic₇	C₂²	semidirect
119. C₂×#6487	C₂²	semidirect
120. C₂×#6487	C₂²	semidirect
121. C₂×#6487	C₂²	semidirect
122. C₂×#6487	C₂²	semidirect
123. C₂²×Dic₇⋊C₄	C₂²	semidirect
124. C₂²×Dic₇⋊C₄	C₂²	semidirect
125. #90375	C₂²	semidirect
126. #90360	C₂²	semidirect
127. #90353	C₂²	semidirect
128. #90352	C₂²	semidirect
129. #90347	C₂²	semidirect
130. #90341	C₂²	semidirect
131. #90337	C₂²	semidirect
132. #90329	C₂²	semidirect
133. #90312	C₂²	semidirect
134. #90310	C₂²	semidirect
135. #90308	C₂²	semidirect
136. #90306	C₂²	semidirect
137. #90302	C₂²	semidirect
138. #90292	C₂²	semidirect
139. #90286	C₂²	semidirect
140. #90284	C₂²	semidirect
141. #90283	C₂²	semidirect
142. #90278	C₂²	semidirect
143. #90255	C₂²	semidirect
144. #90251	C₂²	semidirect
145. #90250	C₂²	semidirect
146. #90232	C₂²	semidirect
147. C₂×#6461	C₂²	semidirect
148. C₂×#6461	C₂²	semidirect
149. C₂×#6461	C₂²	semidirect
150. C₂×#6459	C₂²	semidirect
151. C₂×#6459	C₂²	semidirect
152. C₂×#6457	C₂²	semidirect
153. C₂×#6456	C₂²	semidirect
154. C₂×#6456	C₂²	semidirect
155. C₂×D₇×C₄⋊C₄	C₂²	semidirect
156. C₂×#6453	C₂²	semidirect
157. C₂×#6452	C₂²	semidirect
158. C₂×#6452	C₂²	semidirect
159. C₂×#6452	C₂²	semidirect
160. C₂×#6452	C₂²	semidirect
161. C₂×#6451	C₂²	semidirect
162. C₂×#6450	C₂²	semidirect
163. #90186	C₂²	semidirect
164. #90186	C₂²	semidirect
165. #90185	C₂²	semidirect
166. C₂×#6449	C₂²	semidirect
167. C₂×#6449	C₂²	semidirect
168. C₂×#6449	C₂²	semidirect
170. C₂×#6448	C₂²	semidirect
171. C₂×#6448	C₂²	semidirect
172. C₂×#6448	C₂²	semidirect
173. C₂×#6448	C₂²	semidirect
174. C₂×#6448	C₂²	semidirect
176. C₂×#6447	C₂²	semidirect
177. C₂×#6447	C₂²	semidirect
178. C₂×#6447	C₂²	semidirect
179. C₂×#6447	C₂²	semidirect
184. C₂×#6446	C₂²	semidirect
185. C₂×#6446	C₂²	semidirect
186. C₂×#6446	C₂²	semidirect
187. C₂×#6446	C₂²	semidirect
188. C₂×#6446	C₂²	semidirect
189. C₂×#6446	C₂²	semidirect
190. C₂×#6446	C₂²	semidirect
191. C₂×#6446	C₂²	semidirect
192. C₂×#6445	C₂²	semidirect
193. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
194. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
195. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
196. C₂×#6442	C₂²	semidirect
197. C₂×#6442	C₂²	semidirect
198. C₂×#6442	C₂²	semidirect
199. C₂×#6442	C₂²	semidirect
200. C₂×#6442	C₂²	semidirect
201. C₂×#6442	C₂²	semidirect
202. C₂×#6442	C₂²	semidirect
203. C₂×#6442	C₂²	semidirect
204. C₂×#6441	C₂²	semidirect
205. C₂×#6441	C₂²	semidirect
206. C₂×#6441	C₂²	semidirect
207. C₂×#6441	C₂²	semidirect
208. C₂×#6441	C₂²	semidirect
209. C₂×#6441	C₂²	semidirect
210. C₂×#6440	C₂²	semidirect
211. C₂×#6440	C₂²	semidirect
212. C₂×#6440	C₂²	semidirect
213. C₂×#6440	C₂²	semidirect
214. C₂×#6440	C₂²	semidirect
215. C₂×#6439	C₂²	semidirect
216. C₂×#6438	C₂²	semidirect
217. C₂×#6433	C₂²	semidirect
218. C₂×C₄×Dic₁₄	C₂²	semidirect
273. C₂×#1159	C₂³	semidirect
284. C₂²×C₄×D₇	C₂³	semidirect
289. C₇×#124	C₂³	semidirect
291. C₇×#123	C₂³	semidirect
292. C₇×C₂²⋊Q₈	C₂³	semidirect
294. C₇×#121	C₂³	semidirect
295. C₇×#121	C₂³	semidirect
297. C₇×#120	C₂³	semidirect
299. C₄×C₇×D₄	C₂³	semidirect
317. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
322. #6516	C₂³	semidirect
347. C₂×C₂²⋊Dic₇	C₂³	semidirect
348. #6509	C₂³	semidirect
349. #6509	C₂³	semidirect
350. #6509	C₂³	semidirect
351. #6507	C₂³	semidirect
353. #6503	C₂³	semidirect
360. #6502	C₂³	semidirect
361. #6502	C₂³	semidirect
362. #6502	C₂³	semidirect
363. #6502	C₂³	semidirect
364. #6502	C₂³	semidirect
365. #6501	C₂³	semidirect
366. #6501	C₂³	semidirect
367. #6501	C₂³	semidirect
368. #6501	C₂³	semidirect
371. #6500	C₂³	semidirect
372. #6499	C₂³	semidirect
373. #6499	C₂³	semidirect
377. #6498	C₂³	semidirect
378. #6498	C₂³	semidirect
379. #6498	C₂³	semidirect
380. #6498	C₂³	semidirect
381. #6498	C₂³	semidirect
383. D₄×Dic₇	C₂³	semidirect
384. D₄×Dic₇	C₂³	semidirect
385. D₄×Dic₇	C₂³	semidirect
386. #6493	C₂³	semidirect
389. #6492	C₂³	semidirect
390. #6492	C₂³	semidirect
391. #6492	C₂³	semidirect
392. C₄×C₂²⋊D₇	C₂³	semidirect
393. C₄×C₂²⋊D₇	C₂³	semidirect
394. C₄×C₂²⋊D₇	C₂³	semidirect
395. C₄×C₂²⋊D₇	C₂³	semidirect
396. C₄×C₂²⋊D₇	C₂³	semidirect
397. C₄×C₂²⋊D₇	C₂³	semidirect
398. C₄×C₂²⋊D₇	C₂³	semidirect
415. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
416. #6489	C₂³	semidirect
417. #6489	C₂³	semidirect
428. C₂×C₄⋊Dic₇	C₂³	semidirect
429. #6487	C₂³	semidirect
430. #6487	C₂³	semidirect
431. #6487	C₂³	semidirect
432. #6487	C₂³	semidirect
457. C₂×Dic₇⋊C₄	C₂³	semidirect
458. C₂×Dic₇⋊C₄	C₂³	semidirect
468. #6461	C₂³	semidirect
469. #6461	C₂³	semidirect
470. #6461	C₂³	semidirect
471. #6459	C₂³	semidirect
472. #6459	C₂³	semidirect
473. #6457	C₂³	semidirect
474. #6456	C₂³	semidirect
475. #6456	C₂³	semidirect
476. D₇×C₄⋊C₄	C₂³	semidirect
477. #6453	C₂³	semidirect
478. #6452	C₂³	semidirect
479. #6452	C₂³	semidirect
480. #6452	C₂³	semidirect
481. #6452	C₂³	semidirect
482. #6451	C₂³	semidirect
483. #6450	C₂³	semidirect
484. #6449	C₂³	semidirect
485. #6449	C₂³	semidirect
486. #6449	C₂³	semidirect
488. #6448	C₂³	semidirect
489. #6448	C₂³	semidirect
490. #6448	C₂³	semidirect
491. #6448	C₂³	semidirect
492. #6448	C₂³	semidirect
494. #6447	C₂³	semidirect
495. #6447	C₂³	semidirect
496. #6447	C₂³	semidirect
497. #6447	C₂³	semidirect
502. #6446	C₂³	semidirect
503. #6446	C₂³	semidirect
504. #6446	C₂³	semidirect
505. #6446	C₂³	semidirect
506. #6446	C₂³	semidirect
507. #6446	C₂³	semidirect
508. #6446	C₂³	semidirect
509. #6445	C₂³	semidirect
510. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
511. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
512. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
513. #6442	C₂³	semidirect
514. #6442	C₂³	semidirect
515. #6442	C₂³	semidirect
516. #6442	C₂³	semidirect
517. #6442	C₂³	semidirect
518. #6442	C₂³	semidirect
519. #6442	C₂³	semidirect
520. #6442	C₂³	semidirect
521. #6441	C₂³	semidirect
522. #6441	C₂³	semidirect
523. #6441	C₂³	semidirect
524. #6441	C₂³	semidirect
525. #6441	C₂³	semidirect
526. #6441	C₂³	semidirect
527. #6440	C₂³	semidirect
528. #6440	C₂³	semidirect
529. #6440	C₂³	semidirect
530. #6440	C₂³	semidirect
531. #6440	C₂³	semidirect
532. #6439	C₂³	semidirect
533. #6438	C₂³	semidirect
534. #6433	C₂³	semidirect
535. C₄×Dic₁₄	C₂³	semidirect
552. C₂×#546	D₇	semidirect
844. #546	C₂×D₇	semidirect
888. C₂×#124	C₂×D₇	semidirect
921. C₂×#123	C₂×D₇	semidirect
937. C₂×C₂²⋊Q₈	C₂×D₇	semidirect
960. C₂×#121	C₂×D₇	semidirect
961. C₂×#121	C₂×D₇	semidirect
971. C₂×#120	C₂×D₇	semidirect
991. C₂×C₄×D₄	C₂×D₇	semidirect
1008. C₂²×C₂²⋊C₄	C₂×D₇	semidirect
1256. #124	C₂²×D₇	semidirect
1286. #123	C₂²×D₇	semidirect
1302. C₂²⋊Q₈	C₂²×D₇	semidirect
1325. #121	C₂²×D₇	semidirect
1326. #121	C₂²×D₇	semidirect
1336. #120	C₂²×D₇	semidirect
1356. C₄×D₄	C₂²×D₇	semidirect
1461. C₂×C₂²⋊C₄	C₂²×D₇	semidirect
1798. C₂×C₇	#3533	semidirect
1952. C₇	C₂×#3533	semidirect
2027. C₂	#11743736	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×#546	2
C₂×#90519	2
C₂×#90515	2
C₂×#90495	2
C₂×#90497	2
#11743736	2
C₂×#90375	2
C₂×#90360	2
C₂×#90352	2
C₂×#90341	2
C₂×#90353	2
C₂×#90347	2
C₂×#90329	2
C₂×#90337	2
C₂×#90312	2
C₂×#90308	2
C₂×#90292	2
C₂×#90302	2
C₂×#90306	2
C₂×#90310	2
C₂×#90286	2
C₂×#90278	2
C₂×#90284	2
C₂×#90283	2
C₂×#90251	2
C₂×#90250	2
C₂×#90232	2
C₂×#90255	2
C₂×#90185	2
C₂²×#6446	2
C₂×#90186	2
C₂×#3533	7

Subgroups — C2×#11743736 #14261049

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#11743736 #14261049