Subgroups — C₂×#13128389 #16769953

Order 3328.

7954 conjugacy classes of subgroups.

The subgroup lattice has 1348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128389	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719346	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719237	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719340	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719400	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719270	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719286	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11719398	C₂	1	2	yes	maximal, complemented
9	C₂×#11719410	C₂	1	2	yes	maximal, complemented
10	C₂×#11719232	C₂	1	2	yes	maximal, complemented
11	C₂×#11719212	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719359	C₂	1	2	yes	maximal, complemented
13	C₂×#11719393	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719396	C₂	1	2	yes	maximal, complemented
15	C₂×#11719411	C₂	1	2	yes	maximal, complemented
16	C₂×#11719354	C₂	1	2	yes	maximal, complemented
17	C₂×#11719332	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#11719332	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₄×#6131	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#11719227	C₂	1	2	yes	maximal, complemented
21	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×#88146	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×D₁₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#552	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#6131	C₂²	1	1	yes	characteristic
26	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
27	C₂²×#6127	C₂²	1	2	yes	—
28	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
29	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
30	C₁₃×#552	C₂²	1	16	yes	complemented
31	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
32	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
33	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#123	C₂²	1	2	yes	—
35	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
41	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
44	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88193	C₂²	1	2	yes	—
46	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
47	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
48	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
49	C₂×#88183	C₂²	1	2	yes	complemented
50	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
51	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
52	C₂²×#6103	C₂²	1	2	yes	—
53	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
54	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₂²×C₄×Dic₁₃	C₂²	1	2	yes	complemented
56	#11719411	C₂²	1	32	yes	complemented
57	#11719410	C₂²	1	32	yes	complemented
58	#11719400	C₂²	1	16	yes	complemented
59	#11719398	C₂²	1	32	yes	complemented
60	#11719396	C₂²	1	32	yes	complemented
61	#11719393	C₂²	1	16	yes	complemented
62	#11719359	C₂²	1	32	yes	complemented
63	#11719354	C₂²	1	32	yes	complemented
64	#11719346	C₂²	1	16	yes	complemented
65	#11719340	C₂²	1	16	yes	complemented
66	#11719332	C₂²	1	16	yes	complemented
67	#11719332	C₂²	1	16	yes	complemented
68	#11719286	C₂²	1	16	yes	complemented
69	C₄×#6131	C₂²	1	16	yes	complemented
70	#11719270	C₂²	1	16	yes	complemented
71	C₄×D₄×D₁₃	C₂²	1	16	yes	complemented
72	#11719237	C₂²	1	16	yes	complemented
73	#11719232	C₂²	1	32	yes	complemented
74	#11719227	C₂²	1	32	yes	complemented
75	D₁₃×#117	C₂²	1	16	yes	complemented
76	C₂×#88152	C₂²	1	2	yes	complemented
77	C₂×#88152	C₂²	1	2	yes	complemented
78	C₂×#88152	C₂²	1	2	yes	complemented
79	C₂×#88151	C₂²	1	2	yes	complemented
80	C₂×#88150	C₂²	1	2	yes	—
81	C₂×#88150	C₂²	1	2	yes	—
82	C₂×#88150	C₂²	1	2	yes	complemented
83	#11719212	C₂²	1	16	yes	complemented
84	C₂×#88149	C₂²	1	2	yes	—
85	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
86	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
87	C₂×#88148	C₂²	1	2	yes	—
88	C₂×#88148	C₂²	1	2	yes	—
89	C₂×#88148	C₂²	1	2	yes	—
90	C₂×#88148	C₂²	1	2	yes	complemented
91	C₂×#88148	C₂²	1	2	yes	complemented
92	C₂×#88147	C₂²	1	1	yes	characteristic
93	C₂×#88147	C₂²	1	2	yes	—
94	C₂×#88147	C₂²	1	2	yes	complemented
95	C₂×#88147	C₂²	1	2	yes	complemented
96	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
97	C₂×#88147	C₂²	1	2	yes	complemented
98	C₂×#88146	C₂²	1	1	yes	characteristic
99	C₂×#88146	C₂²	1	1	yes	characteristic
100	C₂×#88146	C₂²	1	2	yes	—
101	C₂×#88146	C₂²	1	1	yes	characteristic
102	C₂×#88146	C₂²	1	16	yes	complemented
103	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
104	C₂×#88146	C₂²	1	2	yes	complemented
105	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
106	C₂×#88146	C₂²	1	2	yes	complemented
107	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
108	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
109	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
110	C₂×#88143	C₂²	1	2	yes	complemented
111	C₂×#88143	C₂²	1	2	yes	complemented
112	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
113	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
114	C₂×#88141	C₂²	1	2	yes	complemented
115	C₂×#88141	C₂²	1	2	yes	complemented
116	C₂×#88141	C₂²	1	2	yes	complemented
117	C₂×#88139	C₂²	1	2	yes	—
118	C₂×#88139	C₂²	1	2	yes	complemented
119	C₂×#88138	C₂²	1	2	yes	—
120	C₂×#88137	C₂²	1	2	yes	complemented
121	C₂×#88136	C₂²	1	2	yes	—
122	C₂×#88136	C₂²	1	2	yes	—
123	C₂×#88135	C₂²	1	1	yes	characteristic
124	C₂×#88135	C₂²	1	1	yes	characteristic
125	C₂×#88135	C₂²	1	2	yes	—
126	C₂×#88135	C₂²	1	2	yes	complemented
127	C₂×#88135	C₂²	1	2	yes	complemented
128	C₂×#88135	C₂²	1	2	yes	complemented
129	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
130	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
131	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
132	C₂×#88133	C₂²	1	2	yes	complemented
133	C₂×#88132	C₂²	1	2	yes	complemented
134	C₂×#88131	C₂²	1	2	yes	complemented
135	C₂×#88130	C₂²	1	2	yes	complemented
136	C₂×#88129	C₂²	1	2	yes	complemented
137	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
138	C₂×C₄×D₅₂	C₂²	1	2	yes	—
139	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
140	C₂×#88126	C₂²	1	2	yes	—
141	C₂×#88126	C₂²	1	2	yes	complemented
142	C₂×#88126	C₂²	1	2	yes	complemented
143	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
144	C₂×C₄²×D₁₃	C₂²	1	2	yes	complemented
145	C₂×C₄²×D₁₃	C₂²	1	2	yes	complemented
146	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
148	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
149	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
150	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
151	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
152	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
155	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
156	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
157	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
158	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
159	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
160	C₂³×Dic₁₃	C₂³	1	2	yes	—
161	C₂×#6131	—	2	8	no	—
162	C₂×#6131	C₂³	1	8	yes	—
163	C₂×D₄×D₁₃	—	2	8	no	—
164	C₂×D₄×D₁₃	C₂³	1	8	yes	—
165	C₂×#6127	—	2	16	no	—
166	C₂×#6127	C₂³	1	16	yes	—
167	C₂²×D₅₂	C₂³	1	2	yes	—
168	C₂²×D₅₂	C₂³	1	1	yes	characteristic
169	C₂²×D₅₂	C₂³	1	1	yes	characteristic
170	C₂²×D₅₂	C₂³	1	2	yes	—
171	C₂²×D₅₂	C₂³	1	2	yes	—
172	C₂²×C₄×D₁₃	—	2	8	no	—
173	C₂²×C₄×D₁₃	—	2	8	no	—
174	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
175	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
176	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
177	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
178	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
179	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
180	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
181	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
182	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
183	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
184	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
185	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
186	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
187	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
188	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
189	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
190	C₂²×Dic₂₆	C₂³	1	2	yes	—
191	C₂²×Dic₂₆	C₂³	1	2	yes	—
192	C₁₃×#126	C₂³	1	16	yes	complemented
193	C₁₃×#125	C₂³	1	8	yes	complemented
194	C₁₃×#125	C₂³	1	16	yes	complemented
195	C₁₃×#123	C₂³	1	16	yes	—
196	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
197	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
198	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
199	C₄×D₄×C₁₃	C₂³	1	8	yes	—
200	C₁₃×#117	C₂³	1	8	yes	complemented
201	C₁₃×#117	C₂³	1	16	yes	complemented
202	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
203	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
204	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
213	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
220	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
221	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
222	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
224	#88200	C₂³	1	8	yes	complemented
225	#88200	C₂³	1	8	yes	complemented
226	Q₈×Dic₁₃	C₂³	1	8	yes	complemented
227	#88193	C₂³	1	16	yes	—
228	D₄×Dic₁₃	C₂³	1	8	yes	—
229	#88184	C₂³	1	8	yes	complemented
230	#88184	C₂³	1	8	yes	complemented
231	#88183	C₂³	1	16	yes	complemented
232	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
233	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
234	C₂×#6103	C₂³	1	2	yes	—
235	C₂×#6103	C₂³	1	2	yes	—
236	C₂×#6103	C₂³	1	1	yes	characteristic
237	C₂×#6103	C₂³	1	2	yes	—
238	C₂×#6103	C₂³	1	2	yes	—
239	C₂×#6103	C₂³	1	2	yes	—
240	C₂×#6103	C₂³	1	2	yes	—
241	C₂×#6103	C₂³	1	1	yes	characteristic
242	C₂×#6103	C₂³	1	2	yes	—
243	C₂×#6103	C₂³	1	1	yes	characteristic
244	C₂×#6103	C₂³	1	2	yes	—
245	C₂×#6103	C₂³	1	2	yes	—
246	C₂×#6103	C₂³	1	1	yes	characteristic
247	C₂×#6103	C₂³	1	2	yes	—
248	C₂×#6103	C₂³	1	2	yes	—
249	C₂×#6103	C₂³	1	2	yes	—
250	C₂×#6103	C₂³	1	2	yes	—
251	C₂×#6103	C₂³	1	16	yes	—
252	#88180	C₂³	1	8	yes	complemented
253	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
256	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
259	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	complemented
260	C₂×#6101	C₂³	1	2	yes	—
261	C₂×#6101	C₂³	1	2	yes	—
262	C₂×#6101	C₂³	1	2	yes	—
263	C₂×#6101	C₂³	1	2	yes	—
264	C₂×#6101	C₂³	1	1	yes	characteristic
265	C₂×#6101	C₂³	1	2	yes	—
266	C₂×#6101	C₂³	1	2	yes	—
267	C₂×#6101	C₂³	1	2	yes	—
268	C₂×#6101	C₂³	1	2	yes	—
269	C₂×#6101	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
274	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
275	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
276	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
277	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
278	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
279	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
280	C₂×C₄×Dic₁₃	C₂³	1	16	yes	complemented
281	#88152	C₂³	1	16	yes	complemented
282	#88152	C₂³	1	16	yes	complemented
283	#88152	C₂³	1	16	yes	complemented
284	#88151	C₂³	1	16	yes	complemented
285	#88150	C₂³	1	16	yes	—
286	#88150	C₂³	1	16	yes	—
287	#88150	C₂³	1	16	yes	complemented
288	#88149	C₂³	1	16	yes	—
289	#88149	C₂³	1	8	yes	complemented
290	#88149	C₂³	1	8	yes	complemented
291	#88148	C₂³	1	16	yes	—
292	#88148	C₂³	1	16	yes	—
293	#88148	C₂³	1	16	yes	—
294	#88148	C₂³	1	16	yes	complemented
295	#88148	C₂³	1	16	yes	complemented
296	#88147	C₂³	1	8	yes	—
297	#88147	C₂³	1	16	yes	—
298	#88147	C₂³	1	8	yes	complemented
299	#88147	C₂³	1	16	yes	complemented
300	#88147	C₂³	1	16	yes	complemented
301	#88147	C₂³	1	16	yes	complemented
302	#88146	C₂³	1	8	yes	—
303	#88146	C₂³	1	8	yes	—
304	#88146	C₂³	1	16	yes	—
305	#88146	C₂³	1	8	yes	—
306	#88146	C₂³	1	8	yes	complemented
307	#88146	C₂³	1	8	yes	complemented
308	#88146	C₂³	1	16	yes	complemented
309	#88146	C₂³	1	16	yes	complemented
310	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
311	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
312	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
313	#88143	C₂³	1	16	yes	complemented
314	#88143	C₂³	1	16	yes	complemented
315	#88142	C₂³	1	8	yes	complemented
316	#88142	C₂³	1	8	yes	complemented
317	#88141	C₂³	1	16	yes	complemented
318	#88141	C₂³	1	16	yes	complemented
319	#88141	C₂³	1	16	yes	complemented
320	#88139	C₂³	1	16	yes	—
321	#88139	C₂³	1	16	yes	complemented
322	#88138	C₂³	1	16	yes	—
323	#88137	C₂³	1	16	yes	complemented
324	#88136	C₂³	1	16	yes	—
325	#88136	C₂³	1	16	yes	—
326	#88135	C₂³	1	8	yes	—
327	#88135	C₂³	1	16	yes	—
328	#88135	C₂³	1	8	yes	—
329	#88135	C₂³	1	16	yes	complemented
330	#88135	C₂³	1	16	yes	complemented
331	#88135	C₂³	1	16	yes	complemented
332	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
333	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
334	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
335	#88133	C₂³	1	16	yes	complemented
336	#88132	C₂³	1	16	yes	complemented
337	#88131	C₂³	1	16	yes	complemented
338	#88130	C₂³	1	16	yes	complemented
339	#88129	C₂³	1	16	yes	complemented
340	C₄×D₅₂	C₂³	1	16	yes	—
341	C₄×D₅₂	C₂³	1	8	yes	—
342	C₄×D₅₂	C₂³	1	8	yes	complemented
343	#88126	C₂³	1	16	yes	—
344	#88126	C₂³	1	16	yes	complemented
345	#88126	C₂³	1	16	yes	complemented
346	C₄²×D₁₃	C₂³	1	8	yes	—
347	C₄²×D₁₃	C₂³	1	16	yes	complemented
348	C₄²×D₁₃	C₂³	1	16	yes	complemented
349	#88124	C₂³	1	8	yes	complemented
350	C₂×#3475	—	13	1	no	maximal, Sylow
351	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂³×D₁₃	—	2	4	no	—
354	C₂³×D₁₃	—	2	4	no	—
355	C₂³×D₁₃	—	2	4	no	—
356	C₂³×D₁₃	—	2	4	no	—
357	C₂³×D₁₃	—	4	2	no	—
358	C₂³×D₁₃	—	4	2	no	—
359	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
360	C₂³×D₁₃	C₂⁴	1	2	yes	—
361	C₂³×D₁₃	C₂⁴	1	4	yes	—
362	C₂³×D₁₃	C₂⁴	1	4	yes	—
363	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
364	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
365	C₂×Q₈×C₁₃	—	2	4	no	—
366	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
367	C₂×D₄×C₁₃	—	2	4	no	—
368	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
369	C₂²×C₄×C₁₃	—	2	8	no	—
370	C₂²×C₄×C₁₃	—	2	4	no	—
371	C₂²×C₄×C₁₃	—	2	4	no	—
372	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
375	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
379	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
382	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
383	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂×C₂²⋊D₁₃	—	2	8	no	—
385	C₂×C₂²⋊D₁₃	—	2	4	no	—
386	C₂×C₂²⋊D₁₃	—	4	4	no	—
387	C₂×C₂²⋊D₁₃	#41	1	8	yes	complemented
388	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
389	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
390	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
391	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
392	C₂²×Dic₁₃	—	2	4	no	—
393	C₂²×Dic₁₃	—	2	4	no	—
394	C₂²×Dic₁₃	—	4	4	no	—
395	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
396	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
397	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
399	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
400	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
401	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
404	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
406	#6131	—	2	32	no	—
407	D₄×D₁₃	—	2	32	no	—
408	#6127	—	2	64	no	—
409	C₂×D₅₂	—	2	8	no	—
410	C₂×D₅₂	—	2	4	no	—
411	C₂×D₅₂	—	2	8	no	—
412	C₂×D₅₂	—	2	4	no	—
413	C₂×D₅₂	—	4	4	no	—
414	C₂×D₅₂	C₂⁴	1	8	yes	—
415	C₂×D₅₂	C₂⁴	1	4	yes	—
416	C₂×D₅₂	C₂⁴	1	4	yes	—
417	C₂×D₅₂	C₂⁴	1	8	yes	—
418	C₂×D₅₂	C₂⁴	1	8	yes	—
419	C₂×C₄×D₁₃	—	2	4	no	—
420	C₂×C₄×D₁₃	—	2	4	no	—
421	C₂×C₄×D₁₃	—	2	8	no	—
422	C₂×C₄×D₁₃	—	2	4	no	—
423	C₂×C₄×D₁₃	—	2	4	no	—
424	C₂×C₄×D₁₃	—	2	4	no	—
425	C₂×C₄×D₁₃	—	2	4	no	—
426	C₂×C₄×D₁₃	—	2	8	no	—
427	C₂×C₄×D₁₃	—	2	4	no	—
428	C₂×C₄×D₁₃	—	2	8	no	—
429	C₂×C₄×D₁₃	—	2	32	no	—
430	C₂×C₄×D₁₃	—	2	32	no	—
431	C₂×C₄×D₁₃	—	4	2	no	—
432	C₂×C₄×D₁₃	—	4	4	no	—
433	C₂×C₄×D₁₃	—	4	4	no	—
434	C₂×C₄×D₁₃	#41	1	8	yes	complemented
435	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
436	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
437	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
438	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
439	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
440	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
441	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
442	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
443	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
444	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
445	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
446	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
447	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
448	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
449	C₂×Dic₂₆	—	2	8	no	—
450	C₂×Dic₂₆	—	4	4	no	—
451	C₂×Dic₂₆	C₂⁴	1	8	yes	—
452	C₂×Dic₂₆	C₂⁴	1	8	yes	—
453	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
454	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
455	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
456	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
457	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
458	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
459	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
460	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
461	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
462	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
463	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
464	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
465	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
466	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
467	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
468	C₄²×C₁₃	C₂⁴	1	4	yes	—
469	C₄²×C₁₃	C₂⁴	1	8	yes	—
470	C₄²×C₁₃	C₂⁴	1	8	yes	—
471	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
472	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
473	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
474	#6103	C₂⁴	1	8	yes	—
475	#6103	C₂⁴	1	8	yes	—
476	#6103	C₂⁴	1	4	yes	—
477	#6103	C₂⁴	1	8	yes	—
478	#6103	C₂⁴	1	8	yes	—
479	#6103	C₂⁴	1	8	yes	—
480	#6103	C₂⁴	1	8	yes	—
481	#6103	C₂⁴	1	4	yes	—
482	#6103	C₂⁴	1	8	yes	—
483	#6103	C₂⁴	1	4	yes	—
484	#6103	C₂⁴	1	8	yes	—
485	#6103	C₂⁴	1	8	yes	—
486	#6103	C₂⁴	1	4	yes	—
487	#6103	C₂⁴	1	8	yes	—
488	#6103	C₂⁴	1	8	yes	—
489	#6103	C₂⁴	1	8	yes	—
490	#6103	C₂⁴	1	8	yes	—
491	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
492	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
493	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
494	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
495	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
496	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
497	#6101	C₂⁴	1	8	yes	—
498	#6101	C₂⁴	1	8	yes	—
499	#6101	C₂⁴	1	8	yes	—
500	#6101	C₂⁴	1	8	yes	—
501	#6101	C₂⁴	1	4	yes	—
502	#6101	C₂⁴	1	8	yes	—
503	#6101	C₂⁴	1	8	yes	—
504	#6101	C₂⁴	1	8	yes	—
505	#6101	C₂⁴	1	8	yes	—
506	#6101	C₂⁴	1	4	yes	—
507	C₄×Dic₁₃	C₂⁴	1	4	yes	—
508	C₄×Dic₁₃	C₂⁴	1	4	yes	—
509	C₄×Dic₁₃	C₂⁴	1	4	yes	—
510	C₄×Dic₁₃	C₂⁴	1	8	yes	—
511	C₄×Dic₁₃	C₂⁴	1	8	yes	—
512	C₄×Dic₁₃	C₂⁴	1	8	yes	—
513	C₄×Dic₁₃	C₂⁴	1	8	yes	—
514	C₄×Dic₁₃	C₂⁴	1	8	yes	—
515	C₄×Dic₁₃	C₂⁴	1	8	yes	—
516	C₄×Dic₁₃	C₂⁴	1	8	yes	—
517	#3475	—	13	32	no	—
518	C₂×#556	—	13	1	no	—
519	C₂×#555	—	13	1	no	—
520	C₂×#554	—	13	1	no	—
521	C₂×#553	—	13	1	no	—
522	C₂×#553	—	13	1	no	—
523	C₂×#552	—	13	2	no	—
524	C₂×#552	—	13	1	no	—
525	C₂×#552	D₁₃	1	1	yes	characteristic, complemented
526	C₂×#551	—	13	2	no	—
527	C₂×#551	—	13	2	no	—
528	C₂×#547	—	13	1	no	—
529	C₂×#546	—	13	2	no	—
530	C₂×#533	—	13	1	no	—
531	C₂×#529	—	13	2	no	—
532	C₂×#529	—	13	2	no	—
533	C₂×#529	—	13	2	no	—
534	C₂×#525	—	13	1	no	—
535	C₂×#525	—	13	1	no	—
536	C₂×C₄×#41	—	13	1	no	—
537	C₂×C₄×#41	—	13	2	no	—
538	C₂²×C₄×D₄	—	13	1	no	—
539	C₂²×#117	—	13	1	no	—
540	C₂²×#117	—	13	1	no	—
541	C₂³×C₁₃	—	2	2	no	—
542	C₂³×C₁₃	—	2	2	no	—
543	C₂³×C₁₃	—	2	2	no	—
544	C₂³×C₁₃	—	2	2	no	—
545	C₂³×C₁₃	—	2	2	no	—
546	C₂³×C₁₃	C₂×#41	1	4	yes	—
547	C₂³×C₁₃	C₂⁵	1	2	yes	—
548	C₂³×C₁₃	C₂⁵	1	2	yes	—
549	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
550	C₂²×D₁₃	—	2	2	no	—
551	C₂²×D₁₃	—	2	2	no	—
552	C₂²×D₁₃	—	2	2	no	—
553	C₂²×D₁₃	—	2	2	no	—
554	C₂²×D₁₃	—	2	2	no	—
555	C₂²×D₁₃	—	2	4	no	—
556	C₂²×D₁₃	—	2	4	no	—
557	C₂²×D₁₃	—	2	2	no	—
558	C₂²×D₁₃	—	2	8	no	—
559	C₂²×D₁₃	—	2	4	no	—
560	C₂²×D₁₃	—	2	2	no	—
561	C₂²×D₁₃	—	2	8	no	—
562	C₂²×D₁₃	—	2	8	no	—
563	C₂²×D₁₃	—	2	8	no	—
564	C₂²×D₁₃	—	4	4	no	—
565	C₂²×D₁₃	—	4	4	no	—
566	C₂²×D₁₃	—	4	16	no	—
567	C₂²×D₁₃	—	4	16	no	—
568	C₂²×D₁₃	C₂×#41	1	4	yes	—
569	C₂²×D₁₃	C₂×#41	1	4	yes	—
570	C₂²×D₁₃	C₂⁵	1	2	yes	—
571	C₂²×D₁₃	C₂⁵	1	4	yes	—
572	C₂²×D₁₃	C₂⁵	1	2	yes	—
573	C₂²×D₁₃	C₂⁵	1	2	yes	—
574	Q₈×C₁₃	—	2	8	no	—
575	D₄×C₁₃	—	2	8	no	—
576	C₂×C₄×C₁₃	—	2	4	no	—
577	C₂×C₄×C₁₃	—	2	4	no	—
578	C₂×C₄×C₁₃	—	2	2	no	—
579	C₂×C₄×C₁₃	—	2	2	no	—
580	C₂×C₄×C₁₃	—	2	2	no	—
581	C₂×C₄×C₁₃	—	2	4	no	—
582	C₂×C₄×C₁₃	—	2	16	no	—
583	C₂×C₄×C₁₃	—	2	4	no	—
584	C₂×C₄×C₁₃	—	2	2	no	—
585	C₂×C₄×C₁₃	—	2	8	no	—
586	C₂×C₄×C₁₃	—	2	8	no	—
587	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
588	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
589	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
590	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
591	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
592	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
593	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
594	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
595	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
596	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
597	C₂²⋊D₁₃	—	2	16	no	—
598	C₂²⋊D₁₃	—	2	8	no	—
599	C₂²⋊D₁₃	—	4	8	no	—
600	C₂²⋊D₁₃	C₂×#41	1	16	yes	complemented
601	C₂×Dic₁₃	—	2	4	no	—
602	C₂×Dic₁₃	—	2	2	no	—
603	C₂×Dic₁₃	—	2	2	no	—
604	C₂×Dic₁₃	—	2	2	no	—
605	C₂×Dic₁₃	—	2	4	no	—
606	C₂×Dic₁₃	—	2	4	no	—
607	C₂×Dic₁₃	—	2	8	no	—
608	C₂×Dic₁₃	—	2	8	no	—
609	C₂×Dic₁₃	—	4	8	no	—
610	C₂×Dic₁₃	C₂×#41	1	4	yes	—
611	C₂×Dic₁₃	C₂×#41	1	4	yes	—
612	C₂×Dic₁₃	C₂⁵	1	2	yes	—
613	C₂×Dic₁₃	C₂⁵	1	4	yes	—
614	C₂×Dic₁₃	C₂⁵	1	4	yes	—
615	C₂×Dic₁₃	C₂⁵	1	4	yes	—
616	C₂×Dic₁₃	C₂⁵	1	2	yes	—
617	C₂×Dic₁₃	C₂⁵	1	2	yes	—
618	C₂×Dic₁₃	C₂⁵	1	2	yes	—
619	C₂×Dic₁₃	C₂⁵	1	2	yes	—
620	D₅₂	—	2	16	no	—
621	D₅₂	—	2	8	no	—
622	D₅₂	—	2	16	no	—
623	D₅₂	—	2	8	no	—
624	D₅₂	—	4	8	no	—
625	C₄×D₁₃	—	2	8	no	—
626	C₄×D₁₃	—	2	8	no	—
627	C₄×D₁₃	—	2	16	no	—
628	C₄×D₁₃	—	2	8	no	—
629	C₄×D₁₃	—	2	8	no	—
630	C₄×D₁₃	—	2	8	no	—
631	C₄×D₁₃	—	2	8	no	—
632	C₄×D₁₃	—	2	16	no	—
633	C₄×D₁₃	—	2	8	no	—
634	C₄×D₁₃	—	2	16	no	—
635	C₄×D₁₃	—	4	4	no	—
636	C₄×D₁₃	—	4	8	no	—
637	C₄×D₁₃	—	4	8	no	—
638	C₄×D₁₃	C₂×#41	1	16	yes	complemented
639	Dic₂₆	—	2	16	no	—
640	Dic₂₆	—	4	8	no	—
641	C₂²×#41	—	13	1	no	—
642	C₂²×#41	—	13	2	no	—
643	C₂³×D₄	—	13	1	no	—
644	C₂⁴×C₄	—	13	1	no	—
645	C₂⁴×C₄	—	13	1	no	—
646	#556	—	13	16	no	—
647	#555	—	13	16	no	—
648	#554	—	13	16	no	—
649	#553	—	13	16	no	—
650	#553	—	13	16	no	—
651	#552	—	13	32	no	—
652	#552	—	13	16	no	—
653	#552	C₂×D₁₃	1	16	yes	complemented
654	#551	—	13	32	no	—
655	#551	—	13	32	no	—
656	#547	—	13	16	no	—
657	#546	—	13	32	no	—
658	#533	—	13	16	no	—
659	C₂×C₄⋊Q₈	—	13	1	no	—
660	C₂×C₄⋊Q₈	—	13	1	no	—
661	#529	—	13	32	no	—
662	#529	—	13	32	no	—
663	#529	—	13	32	no	—
664	C₂×#126	—	13	2	no	—
665	C₂×#126	—	13	2	no	—
666	C₂×#126	—	13	2	no	—
667	C₂×#126	—	13	2	no	—
668	C₂×#126	—	13	2	no	—
669	C₂×#126	C₂×D₁₃	1	2	yes	complemented
670	C₂×#125	—	13	2	no	—
671	C₂×#125	—	13	2	no	—
672	C₂×#125	—	13	1	no	—
673	C₂×#125	C₂×D₁₃	1	2	yes	complemented
674	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
675	C₂×#124	—	13	2	no	—
676	C₂×#124	—	13	2	no	—
677	C₂×#124	—	13	2	no	—
678	#525	—	13	16	no	—
679	#525	—	13	16	no	—
680	C₂×#123	—	13	2	no	—
681	C₂×#123	—	13	2	no	—
682	C₂×#123	—	13	2	no	—
683	C₂×#123	—	13	2	no	—
684	C₂×#123	—	13	2	no	—
685	C₂×#123	—	13	2	no	—
686	C₂×#123	—	13	2	no	—
687	C₂×#123	C₂×D₁₃	1	2	yes	—
688	C₂×C₂²⋊Q₈	—	13	1	no	—
689	C₂×C₂²⋊Q₈	—	13	1	no	—
690	C₂×C₂²⋊Q₈	—	13	2	no	—
691	C₂×C₂²⋊Q₈	—	13	2	no	—
692	C₂×C₂²⋊Q₈	—	13	2	no	—
693	C₂×C₂²⋊Q₈	—	13	2	no	—
694	C₂×C₂²⋊Q₈	—	13	2	no	—
695	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
696	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
697	C₂×#121	—	13	2	no	—
698	C₂×#121	—	13	1	no	—
699	C₂×#121	—	13	1	no	—
700	C₂×#121	—	13	2	no	—
701	C₂×#121	—	13	1	no	—
702	C₂×#121	—	13	1	no	—
703	C₂×#121	—	13	2	no	—
704	C₂×#120	—	13	2	no	—
705	C₂×#120	—	13	2	no	—
706	C₄×#41	—	13	16	no	—
707	C₄×#41	—	13	32	no	—
708	C₂×C₄×Q₈	—	13	1	no	—
709	C₂×C₄×Q₈	—	13	2	no	—
710	C₂×C₄×Q₈	—	13	2	no	—
711	C₂×C₄×Q₈	—	13	2	no	—
712	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
713	C₂×C₄×D₄	—	13	1	no	—
714	C₂×C₄×D₄	—	13	1	no	—
715	C₂×C₄×D₄	—	13	1	no	—
716	C₂×C₄×D₄	—	13	16	no	—
717	C₂×C₄×D₄	—	13	1	no	—
718	C₂×C₄×D₄	—	13	2	no	—
719	C₂×C₄×D₄	—	13	2	no	—
720	C₂×C₄×D₄	—	13	1	no	—
721	C₂×C₄×D₄	—	13	2	no	—
722	C₂×C₄×D₄	—	13	2	no	—
723	C₂×C₄×D₄	—	13	1	no	—
724	C₂×C₄×D₄	—	13	1	no	—
725	C₂×C₄×D₄	—	13	2	no	—
726	C₂×C₄×D₄	—	13	2	no	—
727	C₂×C₄×D₄	—	13	2	no	—
728	C₂×C₄×D₄	—	13	2	no	—
729	C₂×C₄×D₄	—	13	1	no	—
730	C₂×C₄×D₄	—	13	2	no	—
731	C₂×C₄×D₄	—	13	1	no	—
732	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
733	C₂×#117	—	13	1	no	—
734	C₂×#117	—	13	16	no	—
735	C₂×#117	—	13	1	no	—
736	C₂×#117	—	13	1	no	—
737	C₂×#117	—	13	1	no	—
738	C₂×#117	—	13	2	no	—
739	C₂×#117	—	13	2	no	—
740	C₂×#117	—	13	1	no	—
741	C₂×#117	—	13	1	no	—
742	C₂×#117	—	13	2	no	—
743	C₂×#117	—	13	16	no	—
744	C₂×#117	—	13	2	no	—
745	C₂×#117	—	13	2	no	—
746	C₂×#117	—	13	2	no	—
747	C₂×#117	—	13	2	no	—
748	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
749	C₂×#117	C₂×D₁₃	1	2	yes	complemented
750	C₂²×C₄⋊C₄	—	13	1	no	—
751	C₂²×C₄⋊C₄	—	13	1	no	—
752	C₂²×C₄⋊C₄	—	13	1	no	—
753	C₂²×C₄⋊C₄	—	13	1	no	—
754	C₂²×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
755	C₂²×C₂²⋊C₄	—	13	2	no	—
756	C₂²×C₂²⋊C₄	—	13	2	no	—
757	C₂²×C₂²⋊C₄	—	13	1	no	—
758	C₂²×C₂²⋊C₄	—	13	1	no	—
759	C₂²×C₄²	—	13	2	no	—
760	C₂²×C₄²	—	13	1	no	—
761	C₂²×C₄²	—	13	2	no	—
762	C₂²×C₄²	—	13	2	no	—
763	C₂²×C₁₃	—	2	2	no	—
764	C₂²×C₁₃	—	2	2	no	—
765	C₂²×C₁₃	—	2	8	no	—
766	C₂²×C₁₃	—	2	2	no	—
767	C₂²×C₁₃	—	2	2	no	—
768	C₂²×C₁₃	—	2	2	no	—
769	C₂²×C₁₃	—	4	4	no	—
770	C₂²×C₁₃	C₂²×#41	1	4	yes	—
771	C₂²×C₁₃	C₂²×#41	1	2	yes	—
772	C₂²×C₁₃	C₂²×#41	1	2	yes	—
773	C₂²×C₁₃	#585	1	2	yes	—
774	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
775	C₂×D₁₃	—	2	2	no	—
776	C₂×D₁₃	—	2	2	no	—
777	C₂×D₁₃	—	2	2	no	—
778	C₂×D₁₃	—	2	2	no	—
779	C₂×D₁₃	—	2	8	no	—
780	C₂×D₁₃	—	2	8	no	—
781	C₂×D₁₃	—	2	2	no	—
782	C₂×D₁₃	—	2	4	no	—
783	C₂×D₁₃	—	2	4	no	—
784	C₂×D₁₃	—	2	2	no	—
785	C₂×D₁₃	—	2	4	no	—
786	C₂×D₁₃	—	2	2	no	—
787	C₂×D₁₃	—	4	16	no	—
788	C₂×D₁₃	—	4	16	no	—
789	C₂×D₁₃	—	4	8	no	—
790	C₂×D₁₃	—	4	4	no	—
791	C₂×D₁₃	C₂²×#41	1	4	yes	—
792	C₂×D₁₃	C₂²×#41	1	4	yes	—
793	C₄×C₁₃	—	2	4	no	—
794	C₄×C₁₃	—	2	4	no	—
795	C₄×C₁₃	—	2	2	no	—
796	C₄×C₁₃	—	2	2	no	—
797	C₄×C₁₃	—	2	2	no	—
798	C₄×C₁₃	—	2	4	no	—
799	C₄×C₁₃	—	2	4	no	—
800	C₄×C₁₃	—	2	2	no	—
801	C₄×C₁₃	C₂²×#41	1	4	yes	—
802	Dic₁₃	—	2	4	no	—
803	Dic₁₃	—	2	2	no	—
804	Dic₁₃	—	2	2	no	—
805	Dic₁₃	—	2	2	no	—
806	Dic₁₃	—	2	4	no	—
807	Dic₁₃	—	2	4	no	—
808	Dic₁₃	C₂²×#41	1	4	yes	—
809	Dic₁₃	C₂²×#41	1	4	yes	—
810	C₂⁵	—	13	1	no	—
811	C₂⁵	—	13	1	no	—
812	C₂×#41	—	13	8	no	—
813	C₂×#41	—	13	16	no	—
814	C₂×#41	—	26	16	no	—
815	C₂×#41	—	26	8	no	—
816	C₂²×Q₈	—	13	2	no	—
817	C₂²×Q₈	—	13	2	no	—
818	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
819	C₂²×D₄	—	13	1	no	—
820	C₂²×D₄	—	13	2	no	—
821	C₂²×D₄	—	13	1	no	—
822	C₂²×D₄	—	13	2	no	—
823	C₂²×D₄	—	13	8	no	—
824	C₂²×D₄	—	13	2	no	—
825	C₂²×D₄	—	13	2	no	—
826	C₂²×D₄	—	13	1	no	—
827	C₂²×D₄	—	13	1	no	—
828	C₂²×D₄	—	13	2	no	—
829	C₂²×D₄	—	26	8	no	—
830	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
831	C₂³×C₄	—	13	1	no	—
832	C₂³×C₄	—	13	1	no	—
833	C₂³×C₄	—	13	1	no	—
834	C₂³×C₄	—	13	2	no	—
835	C₂³×C₄	—	13	1	no	—
836	C₂³×C₄	—	13	1	no	—
837	C₂³×C₄	—	13	2	no	—
838	C₂³×C₄	—	13	1	no	—
839	C₂³×C₄	—	13	1	no	—
840	C₂³×C₄	—	13	1	no	—
841	C₂³×C₄	—	13	1	no	—
842	C₂³×C₄	—	13	8	no	—
843	C₂³×C₄	—	13	8	no	—
844	C₂³×C₄	—	13	2	no	—
845	C₂³×C₄	—	13	2	no	—
846	C₂³×C₄	—	13	1	no	—
847	C₂³×C₄	—	13	1	no	—
848	C₂³×C₄	—	13	2	no	—
849	C₂³×C₄	—	13	2	no	—
850	C₂³×C₄	—	26	8	no	—
851	C₂³×C₄	—	26	8	no	—
852	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
853	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
854	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
855	C₄⋊Q₈	—	13	8	no	—
856	C₄⋊Q₈	—	13	8	no	—
857	#126	—	13	16	no	—
858	#126	—	13	16	no	—
859	#126	—	13	16	no	—
860	#126	—	13	16	no	—
861	#126	—	13	16	no	—
862	#126	C₂²×D₁₃	1	16	yes	complemented
863	#125	—	13	16	no	—
864	#125	—	13	16	no	—
865	#125	—	13	8	no	—
866	#125	C₂²×D₁₃	1	16	yes	complemented
867	#125	C₂²×D₁₃	1	8	yes	complemented
868	#124	—	13	16	no	—
869	#124	—	13	16	no	—
870	#124	—	13	16	no	—
871	#123	—	13	16	no	—
872	#123	—	13	16	no	—
873	#123	—	13	16	no	—
874	#123	—	13	16	no	—
875	#123	—	13	16	no	—
876	#123	—	13	16	no	—
877	#123	—	13	16	no	—
878	#123	C₂²×D₁₃	1	16	yes	—
879	C₂²⋊Q₈	—	13	8	no	—
880	C₂²⋊Q₈	—	13	8	no	—
881	C₂²⋊Q₈	—	13	16	no	—
882	C₂²⋊Q₈	—	13	16	no	—
883	C₂²⋊Q₈	—	13	16	no	—
884	C₂²⋊Q₈	—	13	16	no	—
885	C₂²⋊Q₈	—	13	16	no	—
886	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
887	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
888	#121	—	13	16	no	—
889	#121	—	13	8	no	—
890	#121	—	13	8	no	—
891	#121	—	13	8	no	—
892	#121	—	13	8	no	—
893	#121	—	13	16	no	—
894	#121	—	13	16	no	—
895	#120	—	13	16	no	—
896	#120	—	13	16	no	—
897	C₄×Q₈	—	13	8	no	—
898	C₄×Q₈	—	13	16	no	—
899	C₄×Q₈	—	13	16	no	—
900	C₄×Q₈	—	13	16	no	—
901	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
902	C₄×D₄	—	13	8	no	—
903	C₄×D₄	—	13	8	no	—
904	C₄×D₄	—	13	8	no	—
905	C₄×D₄	—	13	8	no	—
906	C₄×D₄	—	13	16	no	—
907	C₄×D₄	—	13	16	no	—
908	C₄×D₄	—	13	8	no	—
909	C₄×D₄	—	13	16	no	—
910	C₄×D₄	—	13	16	no	—
911	C₄×D₄	—	13	8	no	—
912	C₄×D₄	—	13	8	no	—
913	C₄×D₄	—	13	16	no	—
914	C₄×D₄	—	13	16	no	—
915	C₄×D₄	—	13	16	no	—
916	C₄×D₄	—	13	16	no	—
917	C₄×D₄	—	13	8	no	—
918	C₄×D₄	—	13	16	no	—
919	C₄×D₄	—	13	8	no	—
920	C₄×D₄	C₂²×D₁₃	1	8	yes	—
921	#117	—	13	8	no	—
922	#117	—	13	8	no	—
923	#117	—	13	8	no	—
924	#117	—	13	8	no	—
925	#117	—	13	16	no	—
926	#117	—	13	16	no	—
927	#117	—	13	8	no	—
928	#117	—	13	8	no	—
929	#117	—	13	16	no	—
930	#117	—	13	16	no	—
931	#117	—	13	16	no	—
932	#117	—	13	16	no	—
933	#117	—	13	16	no	—
934	#117	C₂²×D₁₃	1	8	yes	complemented
935	#117	C₂²×D₁₃	1	16	yes	complemented
936	C₂×C₄⋊C₄	—	13	1	no	—
937	C₂×C₄⋊C₄	—	13	1	no	—
938	C₂×C₄⋊C₄	—	13	1	no	—
939	C₂×C₄⋊C₄	—	13	1	no	—
940	C₂×C₄⋊C₄	—	13	2	no	—
941	C₂×C₄⋊C₄	—	13	2	no	—
942	C₂×C₄⋊C₄	—	13	2	no	—
943	C₂×C₄⋊C₄	—	13	8	no	—
944	C₂×C₄⋊C₄	—	13	1	no	—
945	C₂×C₄⋊C₄	—	13	1	no	—
946	C₂×C₄⋊C₄	—	13	2	no	—
947	C₂×C₄⋊C₄	—	13	2	no	—
948	C₂×C₄⋊C₄	—	13	2	no	—
949	C₂×C₄⋊C₄	—	13	2	no	—
950	C₂×C₄⋊C₄	—	13	2	no	—
951	C₂×C₄⋊C₄	—	13	2	no	—
952	C₂×C₄⋊C₄	—	13	2	no	—
953	C₂×C₄⋊C₄	—	13	8	no	—
954	C₂×C₄⋊C₄	—	13	8	no	—
955	C₂×C₄⋊C₄	—	13	8	no	—
956	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
961	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
962	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
963	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
964	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
965	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
966	C₂×C₄⋊C₄	C₂²×D₁₃	1	8	yes	complemented
967	C₂×C₂²⋊C₄	—	13	2	no	—
968	C₂×C₂²⋊C₄	—	13	1	no	—
969	C₂×C₂²⋊C₄	—	13	1	no	—
970	C₂×C₂²⋊C₄	—	13	2	no	—
971	C₂×C₂²⋊C₄	—	13	1	no	—
972	C₂×C₂²⋊C₄	—	13	2	no	—
973	C₂×C₂²⋊C₄	—	13	2	no	—
974	C₂×C₂²⋊C₄	—	13	2	no	—
975	C₂×C₂²⋊C₄	—	13	2	no	—
976	C₂×C₂²⋊C₄	—	13	16	no	—
977	C₂×C₂²⋊C₄	—	13	1	no	—
978	C₂×C₂²⋊C₄	—	13	1	no	—
979	C₂×C₂²⋊C₄	—	13	1	no	—
980	C₂×C₂²⋊C₄	—	13	2	no	—
981	C₂×C₂²⋊C₄	—	13	2	no	—
982	C₂×C₂²⋊C₄	—	13	2	no	—
983	C₂×C₂²⋊C₄	—	13	2	no	—
984	C₂×C₂²⋊C₄	—	13	2	no	—
985	C₂×C₂²⋊C₄	—	13	2	no	—
986	C₂×C₂²⋊C₄	—	13	2	no	—
987	C₂×C₂²⋊C₄	—	13	2	no	—
988	C₂×C₂²⋊C₄	—	13	16	no	—
989	C₂×C₂²⋊C₄	—	13	8	no	—
990	C₂×C₂²⋊C₄	—	13	8	no	—
991	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
992	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
993	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
994	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
995	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
996	C₂×C₄²	—	13	2	no	—
997	C₂×C₄²	—	13	2	no	—
998	C₂×C₄²	—	13	1	no	—
999	C₂×C₄²	—	13	2	no	—
1000	C₂×C₄²	—	13	2	no	—
1001	C₂×C₄²	—	13	2	no	—
1002	C₂×C₄²	—	13	2	no	—
1003	C₂×C₄²	—	13	16	no	—
1004	C₂×C₄²	—	13	1	no	—
1005	C₂×C₄²	—	13	2	no	—
1006	C₂×C₄²	—	13	1	no	—
1007	C₂×C₄²	—	13	16	no	—
1008	C₂×C₄²	—	13	8	no	—
1009	C₂×C₄²	—	13	16	no	—
1010	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
1011	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
1012	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1013	C₂×C₁₃	—	2	4	no	—
1014	C₂×C₁₃	—	4	2	no	—
1015	C₂×C₁₃	#3475	1	4	yes	complemented
1016	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1017	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1018	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1019	D₁₃	—	2	4	no	—
1020	D₁₃	—	2	4	no	—
1021	D₁₃	—	4	4	no	—
1022	D₁₃	—	4	2	no	—
1023	C₂⁴	—	13	1	no	—
1024	C₂⁴	—	13	1	no	—
1025	C₂⁴	—	13	1	no	—
1026	C₂⁴	—	13	2	no	—
1027	C₂⁴	—	13	4	no	—
1028	C₂⁴	—	13	4	no	—
1029	C₂⁴	—	26	4	no	—
1030	C₂⁴	—	26	4	no	—
1031	C₂⁴	—	26	4	no	—
1032	C₂⁴	—	26	4	no	—
1033	C₂⁴	—	52	2	no	—
1034	C₂⁴	—	52	2	no	—
1035	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1036	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1037	#41	—	26	64	no	—
1038	#41	—	26	32	no	—
1039	C₂×Q₈	—	2	4	no	—
1040	C₂×Q₈	—	13	8	no	—
1041	C₂×Q₈	—	13	8	no	—
1042	C₂×Q₈	—	26	8	no	—
1043	C₂×Q₈	—	52	4	no	—
1044	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1045	C₂×D₄	—	2	4	no	—
1046	C₂×D₄	—	13	8	no	—
1047	C₂×D₄	—	13	4	no	—
1048	C₂×D₄	—	13	8	no	—
1049	C₂×D₄	—	13	4	no	—
1050	C₂×D₄	—	13	8	no	—
1051	C₂×D₄	—	13	8	no	—
1052	C₂×D₄	—	13	8	no	—
1053	C₂×D₄	—	13	4	no	—
1054	C₂×D₄	—	13	4	no	—
1055	C₂×D₄	—	13	8	no	—
1056	C₂×D₄	—	26	4	no	—
1057	C₂×D₄	—	26	8	no	—
1058	C₂×D₄	—	26	8	no	—
1059	C₂×D₄	—	26	4	no	—
1060	C₂×D₄	—	26	32	no	—
1061	C₂×D₄	—	26	8	no	—
1062	C₂×D₄	—	26	4	no	—
1063	C₂×D₄	—	52	4	no	—
1064	C₂×D₄	—	52	4	no	—
1065	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1066	C₂²×C₄	—	2	8	no	—
1067	C₂²×C₄	—	2	4	no	—
1068	C₂²×C₄	—	2	4	no	—
1069	C₂²×C₄	—	13	1	no	—
1070	C₂²×C₄	—	13	1	no	—
1071	C₂²×C₄	—	13	8	no	—
1072	C₂²×C₄	—	13	4	no	—
1073	C₂²×C₄	—	13	4	no	—
1074	C₂²×C₄	—	13	4	no	—
1075	C₂²×C₄	—	13	1	no	—
1076	C₂²×C₄	—	13	2	no	—
1077	C₂²×C₄	—	13	1	no	—
1078	C₂²×C₄	—	13	2	no	—
1079	C₂²×C₄	—	13	2	no	—
1080	C₂²×C₄	—	13	1	no	—
1081	C₂²×C₄	—	13	8	no	—
1082	C₂²×C₄	—	13	4	no	—
1083	C₂²×C₄	—	13	8	no	—
1084	C₂²×C₄	—	13	4	no	—
1085	C₂²×C₄	—	13	8	no	—
1086	C₂²×C₄	—	13	8	no	—
1087	C₂²×C₄	—	13	4	no	—
1088	C₂²×C₄	—	13	4	no	—
1089	C₂²×C₄	—	13	4	no	—
1090	C₂²×C₄	—	13	4	no	—
1091	C₂²×C₄	—	13	4	no	—
1092	C₂²×C₄	—	13	4	no	—
1093	C₂²×C₄	—	13	8	no	—
1094	C₂²×C₄	—	13	8	no	—
1095	C₂²×C₄	—	26	4	no	—
1096	C₂²×C₄	—	26	4	no	—
1097	C₂²×C₄	—	26	32	no	—
1098	C₂²×C₄	—	26	32	no	—
1099	C₂²×C₄	—	26	4	no	—
1100	C₂²×C₄	—	26	8	no	—
1101	C₂²×C₄	—	26	8	no	—
1102	C₂²×C₄	—	26	4	no	—
1103	C₂²×C₄	—	26	4	no	—
1104	C₂²×C₄	—	26	8	no	—
1105	C₂²×C₄	—	26	4	no	—
1106	C₂²×C₄	—	26	4	no	—
1107	C₂²×C₄	—	26	4	no	—
1108	C₂²×C₄	—	26	4	no	—
1109	C₂²×C₄	—	52	4	no	—
1110	C₂²×C₄	—	52	2	no	—
1111	C₂²×C₄	—	52	4	no	—
1112	C₂²×C₄	—	52	4	no	—
1113	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1114	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1115	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1116	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1117	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1119	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1120	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1121	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1122	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1125	C₄⋊C₄	—	13	4	no	—
1126	C₄⋊C₄	—	13	4	no	—
1127	C₄⋊C₄	—	13	4	no	—
1128	C₄⋊C₄	—	13	4	no	—
1129	C₄⋊C₄	—	13	8	no	—
1130	C₄⋊C₄	—	13	8	no	—
1131	C₄⋊C₄	—	13	8	no	—
1132	C₄⋊C₄	—	13	4	no	—
1133	C₄⋊C₄	—	13	4	no	—
1134	C₄⋊C₄	—	13	8	no	—
1135	C₄⋊C₄	—	13	8	no	—
1136	C₄⋊C₄	—	13	8	no	—
1137	C₄⋊C₄	—	13	8	no	—
1138	C₄⋊C₄	—	13	8	no	—
1139	C₄⋊C₄	—	13	8	no	—
1140	C₄⋊C₄	—	13	8	no	—
1141	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1142	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1143	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1144	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1145	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1146	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1147	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1148	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1149	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1150	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1151	C₂²⋊C₄	—	13	8	no	—
1152	C₂²⋊C₄	—	13	4	no	—
1153	C₂²⋊C₄	—	13	4	no	—
1154	C₂²⋊C₄	—	13	8	no	—
1155	C₂²⋊C₄	—	13	4	no	—
1156	C₂²⋊C₄	—	13	8	no	—
1157	C₂²⋊C₄	—	13	8	no	—
1158	C₂²⋊C₄	—	13	8	no	—
1159	C₂²⋊C₄	—	13	8	no	—
1160	C₂²⋊C₄	—	13	4	no	—
1161	C₂²⋊C₄	—	13	4	no	—
1162	C₂²⋊C₄	—	13	4	no	—
1163	C₂²⋊C₄	—	13	8	no	—
1164	C₂²⋊C₄	—	13	8	no	—
1165	C₂²⋊C₄	—	13	8	no	—
1166	C₂²⋊C₄	—	13	8	no	—
1167	C₂²⋊C₄	—	13	8	no	—
1168	C₂²⋊C₄	—	13	8	no	—
1169	C₂²⋊C₄	—	13	8	no	—
1170	C₂²⋊C₄	—	13	8	no	—
1171	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1172	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1173	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1174	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1175	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1176	C₄²	—	13	8	no	—
1177	C₄²	—	13	4	no	—
1178	C₄²	—	13	8	no	—
1179	C₄²	—	13	4	no	—
1180	C₄²	—	13	8	no	—
1181	C₄²	—	13	8	no	—
1182	C₄²	—	13	8	no	—
1183	C₄²	—	13	8	no	—
1184	C₄²	—	13	4	no	—
1185	C₄²	—	13	8	no	—
1186	C₄²	C₂³×D₁₃	1	8	yes	—
1187	C₄²	C₂³×D₁₃	1	8	yes	—
1188	C₄²	C₂³×D₁₃	1	4	yes	—
1189	C₁₃	C₂×#3475	1	1	yes	characteristic, complemented, Sylow
1190	C₂³	—	2	2	no	—
1191	C₂³	—	2	2	no	—
1192	C₂³	—	2	2	no	—
1193	C₂³	—	2	2	no	—
1194	C₂³	—	2	2	no	—
1195	C₂³	—	13	4	no	—
1196	C₂³	—	13	4	no	—
1197	C₂³	—	13	2	no	—
1198	C₂³	—	13	2	no	—
1199	C₂³	—	13	2	no	—
1200	C₂³	—	13	4	no	—
1201	C₂³	—	26	8	no	—
1202	C₂³	—	26	8	no	—
1203	C₂³	—	26	8	no	—
1204	C₂³	—	26	2	no	—
1205	C₂³	—	26	2	no	—
1206	C₂³	—	26	2	no	—
1207	C₂³	—	26	2	no	—
1208	C₂³	—	26	2	no	—
1209	C₂³	—	26	4	no	—
1210	C₂³	—	26	4	no	—
1211	C₂³	—	26	8	no	—
1212	C₂³	—	26	2	no	—
1213	C₂³	—	26	4	no	—
1214	C₂³	—	26	2	no	—
1215	C₂³	—	52	4	no	—
1216	C₂³	—	52	4	no	—
1217	C₂³	—	52	16	no	—
1218	C₂³	—	52	16	no	—
1219	C₂³	#41×D₁₃	1	4	yes	—
1220	C₂³	C₂⁴×D₁₃	1	2	yes	—
1221	C₂³	C₂⁴×D₁₃	1	2	yes	—
1222	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1223	Q₈	—	2	8	no	—
1224	Q₈	—	26	16	no	—
1225	Q₈	—	52	8	no	—
1226	D₄	—	2	8	no	—
1227	D₄	—	13	16	no	—
1228	D₄	—	26	8	no	—
1229	D₄	—	26	16	no	—
1230	D₄	—	26	16	no	—
1231	D₄	—	26	8	no	—
1232	D₄	—	26	16	no	—
1233	D₄	—	26	8	no	—
1234	D₄	—	52	8	no	—
1235	D₄	—	52	8	no	—
1236	C₂×C₄	—	2	4	no	—
1237	C₂×C₄	—	2	2	no	—
1238	C₂×C₄	—	2	2	no	—
1239	C₂×C₄	—	2	4	no	—
1240	C₂×C₄	—	2	16	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	4	no	—
1243	C₂×C₄	—	2	2	no	—
1244	C₂×C₄	—	2	4	no	—
1245	C₂×C₄	—	2	8	no	—
1246	C₂×C₄	—	2	8	no	—
1247	C₂×C₄	—	13	4	no	—
1248	C₂×C₄	—	13	4	no	—
1249	C₂×C₄	—	13	2	no	—
1250	C₂×C₄	—	13	2	no	—
1251	C₂×C₄	—	13	16	no	—
1252	C₂×C₄	—	13	2	no	—
1253	C₂×C₄	—	13	4	no	—
1254	C₂×C₄	—	13	2	no	—
1255	C₂×C₄	—	13	4	no	—
1256	C₂×C₄	—	13	4	no	—
1257	C₂×C₄	—	13	2	no	—
1258	C₂×C₄	—	26	8	no	—
1259	C₂×C₄	—	26	8	no	—
1260	C₂×C₄	—	26	8	no	—
1261	C₂×C₄	—	26	16	no	—
1262	C₂×C₄	—	26	16	no	—
1263	C₂×C₄	—	26	8	no	—
1264	C₂×C₄	—	26	8	no	—
1265	C₂×C₄	—	26	16	no	—
1266	C₂×C₄	—	26	8	no	—
1267	C₂×C₄	—	26	8	no	—
1268	C₂×C₄	—	26	2	no	—
1269	C₂×C₄	—	26	2	no	—
1270	C₂×C₄	—	26	4	no	—
1271	C₂×C₄	—	26	4	no	—
1272	C₂×C₄	—	26	4	no	—
1273	C₂×C₄	—	26	2	no	—
1274	C₂×C₄	—	26	8	no	—
1275	C₂×C₄	—	26	8	no	—
1276	C₂×C₄	—	52	8	no	—
1277	C₂×C₄	—	52	4	no	—
1278	C₂×C₄	—	52	8	no	—
1279	C₂×C₄	—	52	8	no	—
1280	C₂×C₄	#41×D₁₃	1	4	yes	—
1281	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1282	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1283	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1284	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1285	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1286	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1287	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1288	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1289	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1290	C₂²	—	2	2	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	8	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	2	no	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	4	4	no	—
1297	C₂²	—	13	4	no	—
1298	C₂²	—	13	4	no	—
1299	C₂²	—	26	2	no	—
1300	C₂²	—	26	2	no	—
1301	C₂²	—	26	2	no	—
1302	C₂²	—	26	2	no	—
1303	C₂²	—	26	8	no	—
1304	C₂²	—	26	8	no	—
1305	C₂²	—	26	2	no	—
1306	C₂²	—	26	4	no	—
1307	C₂²	—	26	4	no	—
1308	C₂²	—	26	2	no	—
1309	C₂²	—	26	4	no	—
1310	C₂²	—	26	2	no	—
1311	C₂²	—	52	16	no	—
1312	C₂²	—	52	16	no	—
1313	C₂²	—	52	8	no	—
1314	C₂²	—	52	4	no	—
1315	C₂²	C₂×#41×D₁₃	1	4	yes	—
1316	C₂²	C₂×#41×D₁₃	1	2	yes	—
1317	C₂²	C₂×#41×D₁₃	1	2	yes	—
1318	C₂²	#11719652	1	2	yes	—
1319	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1320	C₄	—	2	4	no	—
1321	C₄	—	2	2	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	2	4	no	—
1324	C₄	—	2	2	no	—
1325	C₄	—	2	4	no	—
1326	C₄	—	2	2	no	—
1327	C₄	—	2	4	no	—
1328	C₄	—	13	4	no	—
1329	C₄	—	13	4	no	—
1330	C₄	—	26	2	no	—
1331	C₄	—	26	2	no	—
1332	C₄	—	26	4	no	—
1333	C₄	—	26	4	no	—
1334	C₄	—	26	4	no	—
1335	C₄	—	26	2	no	—
1336	C₄	C₂×#41×D₁₃	1	4	yes	—
1337	C₂	—	2	4	no	—
1338	C₂	—	4	2	no	—
1339	C₂	—	26	4	no	—
1340	C₂	—	26	4	no	—
1341	C₂	—	52	2	no	—
1342	C₂	—	52	4	no	—
1343	C₂	#13128389	1	4	yes	direct product factor
1344	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1345	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1346	C₂	C₂×#11719652	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#552	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#552	D₁₃
hypocenter	C₁₃	C₂×#3475
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#552

Complements

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

N	H ≅ G/N	type
1. #13128389	C₂	direct (N × H)
2. C₂×#11719346	C₂	semidirect
3. C₂×#11719237	C₂	semidirect
4. C₂×#11719340	C₂	semidirect
5. C₂×#11719400	C₂	semidirect
6. C₂×#11719270	C₂	semidirect
7. C₂×#11719286	C₂	semidirect
8. C₂×#11719398	C₂	semidirect
9. C₂×#11719410	C₂	semidirect
10. C₂×#11719232	C₂	semidirect
11. C₂×#11719212	C₂	semidirect
12. C₂×#11719359	C₂	semidirect
13. C₂×#11719393	C₂	semidirect
14. C₂×#11719396	C₂	semidirect
15. C₂×#11719411	C₂	semidirect
16. C₂×#11719354	C₂	semidirect
17. C₂×#11719332	C₂	semidirect
18. C₂×#11719332	C₂	semidirect
19. C₂×C₄×#6131	C₂	semidirect
20. C₂×#11719227	C₂	semidirect
21. C₂×C₄×D₄×D₁₃	C₂	semidirect
22. C₂²×#88146	C₂	semidirect
23. C₂×D₁₃×#117	C₂	semidirect
24. C₂×C₁₃×#552	C₂	semidirect
30. C₁₃×#552	C₂²	semidirect
31. C₂×C₁₃×#126	C₂²	semidirect
32. C₂×C₁₃×#125	C₂²	semidirect
33. C₂×C₁₃×#125	C₂²	semidirect
35. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
36. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
37. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
39. C₂×C₁₃×#117	C₂²	semidirect
40. C₂×C₁₃×#117	C₂²	semidirect
41. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
42. C₂×#88200	C₂²	semidirect
43. C₂×#88200	C₂²	semidirect
44. C₂×Q₈×Dic₁₃	C₂²	semidirect
47. C₂×#88184	C₂²	semidirect
48. C₂×#88184	C₂²	semidirect
49. C₂×#88183	C₂²	semidirect
53. C₂×#88180	C₂²	semidirect
54. C₂²×C₄⋊Dic₁₃	C₂²	semidirect
55. C₂²×C₄×Dic₁₃	C₂²	semidirect
56. #11719411	C₂²	semidirect
57. #11719410	C₂²	semidirect
58. #11719400	C₂²	semidirect
59. #11719398	C₂²	semidirect
60. #11719396	C₂²	semidirect
61. #11719393	C₂²	semidirect
62. #11719359	C₂²	semidirect
63. #11719354	C₂²	semidirect
64. #11719346	C₂²	semidirect
65. #11719340	C₂²	semidirect
66. #11719332	C₂²	semidirect
67. #11719332	C₂²	semidirect
68. #11719286	C₂²	semidirect
69. C₄×#6131	C₂²	semidirect
70. #11719270	C₂²	semidirect
71. C₄×D₄×D₁₃	C₂²	semidirect
72. #11719237	C₂²	semidirect
73. #11719232	C₂²	semidirect
74. #11719227	C₂²	semidirect
75. D₁₃×#117	C₂²	semidirect
76. C₂×#88152	C₂²	semidirect
77. C₂×#88152	C₂²	semidirect
78. C₂×#88152	C₂²	semidirect
79. C₂×#88151	C₂²	semidirect
82. C₂×#88150	C₂²	semidirect
83. #11719212	C₂²	semidirect
85. C₂×#88149	C₂²	semidirect
86. C₂×#88149	C₂²	semidirect
90. C₂×#88148	C₂²	semidirect
91. C₂×#88148	C₂²	semidirect
94. C₂×#88147	C₂²	semidirect
95. C₂×#88147	C₂²	semidirect
96. C₂×#88147	C₂²	semidirect
97. C₂×#88147	C₂²	semidirect
102. C₂×#88146	C₂²	semidirect
103. C₂×#88146	C₂²	semidirect
104. C₂×#88146	C₂²	semidirect
105. C₂×#88146	C₂²	semidirect
106. C₂×#88146	C₂²	semidirect
108. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
109. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
110. C₂×#88143	C₂²	semidirect
111. C₂×#88143	C₂²	semidirect
112. C₂×#88142	C₂²	semidirect
113. C₂×#88142	C₂²	semidirect
114. C₂×#88141	C₂²	semidirect
115. C₂×#88141	C₂²	semidirect
116. C₂×#88141	C₂²	semidirect
118. C₂×#88139	C₂²	semidirect
120. C₂×#88137	C₂²	semidirect
126. C₂×#88135	C₂²	semidirect
127. C₂×#88135	C₂²	semidirect
128. C₂×#88135	C₂²	semidirect
132. C₂×#88133	C₂²	semidirect
133. C₂×#88132	C₂²	semidirect
134. C₂×#88131	C₂²	semidirect
135. C₂×#88130	C₂²	semidirect
136. C₂×#88129	C₂²	semidirect
139. C₂×C₄×D₅₂	C₂²	semidirect
141. C₂×#88126	C₂²	semidirect
142. C₂×#88126	C₂²	semidirect
144. C₂×C₄²×D₁₃	C₂²	semidirect
145. C₂×C₄²×D₁₃	C₂²	semidirect
146. C₂×#88124	C₂²	semidirect
192. C₁₃×#126	C₂³	semidirect
193. C₁₃×#125	C₂³	semidirect
194. C₁₃×#125	C₂³	semidirect
196. C₁₃×C₂²⋊Q₈	C₂³	semidirect
197. C₁₃×C₂²⋊Q₈	C₂³	semidirect
198. C₄×Q₈×C₁₃	C₂³	semidirect
200. C₁₃×#117	C₂³	semidirect
201. C₁₃×#117	C₂³	semidirect
212. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
224. #88200	C₂³	semidirect
225. #88200	C₂³	semidirect
226. Q₈×Dic₁₃	C₂³	semidirect
229. #88184	C₂³	semidirect
230. #88184	C₂³	semidirect
231. #88183	C₂³	semidirect
252. #88180	C₂³	semidirect
259. C₂×C₄⋊Dic₁₃	C₂³	semidirect
280. C₂×C₄×Dic₁₃	C₂³	semidirect
281. #88152	C₂³	semidirect
282. #88152	C₂³	semidirect
283. #88152	C₂³	semidirect
284. #88151	C₂³	semidirect
287. #88150	C₂³	semidirect
289. #88149	C₂³	semidirect
290. #88149	C₂³	semidirect
294. #88148	C₂³	semidirect
295. #88148	C₂³	semidirect
298. #88147	C₂³	semidirect
299. #88147	C₂³	semidirect
300. #88147	C₂³	semidirect
301. #88147	C₂³	semidirect
306. #88146	C₂³	semidirect
307. #88146	C₂³	semidirect
308. #88146	C₂³	semidirect
309. #88146	C₂³	semidirect
311. C₄⋊C₄×D₁₃	C₂³	semidirect
312. C₄⋊C₄×D₁₃	C₂³	semidirect
313. #88143	C₂³	semidirect
314. #88143	C₂³	semidirect
315. #88142	C₂³	semidirect
316. #88142	C₂³	semidirect
317. #88141	C₂³	semidirect
318. #88141	C₂³	semidirect
319. #88141	C₂³	semidirect
321. #88139	C₂³	semidirect
323. #88137	C₂³	semidirect
329. #88135	C₂³	semidirect
330. #88135	C₂³	semidirect
331. #88135	C₂³	semidirect
335. #88133	C₂³	semidirect
336. #88132	C₂³	semidirect
337. #88131	C₂³	semidirect
338. #88130	C₂³	semidirect
339. #88129	C₂³	semidirect
342. C₄×D₅₂	C₂³	semidirect
344. #88126	C₂³	semidirect
345. #88126	C₂³	semidirect
347. C₄²×D₁₃	C₂³	semidirect
348. C₄²×D₁₃	C₂³	semidirect
349. #88124	C₂³	semidirect
387. C₂×C₂²⋊D₁₃	#41	semidirect
434. C₂×C₄×D₁₃	#41	semidirect
525. C₂×#552	D₁₃	semidirect
600. C₂²⋊D₁₃	C₂×#41	semidirect
638. C₄×D₁₃	C₂×#41	semidirect
653. #552	C₂×D₁₃	semidirect
669. C₂×#126	C₂×D₁₃	semidirect
673. C₂×#125	C₂×D₁₃	semidirect
674. C₂×#125	C₂×D₁₃	semidirect
695. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
696. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
712. C₂×C₄×Q₈	C₂×D₁₃	semidirect
748. C₂×#117	C₂×D₁₃	semidirect
749. C₂×#117	C₂×D₁₃	semidirect
754. C₂²×C₄⋊C₄	C₂×D₁₃	semidirect
862. #126	C₂²×D₁₃	semidirect
866. #125	C₂²×D₁₃	semidirect
867. #125	C₂²×D₁₃	semidirect
886. C₂²⋊Q₈	C₂²×D₁₃	semidirect
887. C₂²⋊Q₈	C₂²×D₁₃	semidirect
901. C₄×Q₈	C₂²×D₁₃	semidirect
934. #117	C₂²×D₁₃	semidirect
935. #117	C₂²×D₁₃	semidirect
966. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1015. C₂×C₁₃	#3475	semidirect
1189. C₁₃	C₂×#3475	semidirect
1343. C₂	#13128389	direct (N × H)

Maximal subgroups

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

subgroup	index
#13128389	2
C₂×#11719346	2
C₂×#11719237	2
C₂×#11719340	2
C₂×#11719400	2
C₂×#11719270	2
C₂×#11719286	2
C₂×#11719398	2
C₂×#11719410	2
C₂×#11719232	2
C₂×#11719212	2
C₂×#11719359	2
C₂×#11719393	2
C₂×#11719396	2
C₂×#11719411	2
C₂×#11719354	2
C₂×#11719332	2
C₂×C₄×#6131	2
C₂×#11719227	2
C₂×C₄×D₄×D₁₃	2
C₂²×#88146	2
C₂×D₁₃×#117	2
C₂×C₁₃×#552	2
C₂×#3475	13

Subgroups — C2×#13128389 #16769953

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13128389 #16769953