Subgroups — C₂×#13129431 #16770413

Order 3328.

7354 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	#13129431	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719352	C₂	1	2	yes	maximal, complemented
3	C₂×#11719416	C₂	1	2	yes	maximal, complemented
4	C₂×#11719290	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719414	C₂	1	2	yes	maximal, complemented
6	C₂×#11719232	C₂	1	2	yes	maximal, complemented
7	C₂×#11719282	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11719281	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11719382	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719431	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719259	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719381	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719288	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719240	C₂	1	2	yes	maximal, complemented
15	C₂×#11719267	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11719412	C₂	1	2	yes	maximal, complemented
17	C₂×#11719349	C₂	1	2	yes	maximal, complemented
18	C₂×#11719409	C₂	1	2	yes	maximal, complemented
19	C₂×#11719429	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#11719379	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#11719373	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719285	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#11719285	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#556	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#6131	C₂²	1	1	yes	characteristic
26	C₂²×#6131	C₂²	1	1	yes	characteristic
27	C₂²×#6131	C₂²	1	1	yes	characteristic, complemented
28	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#6129	C₂²	1	1	yes	characteristic
30	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
31	C₁₃×#556	C₂²	1	16	yes	complemented
32	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
34	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
35	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
38	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
43	C₂×#88201	C₂²	1	1	yes	characteristic
44	C₂×#88201	C₂²	1	1	yes	characteristic
45	C₂×#88201	C₂²	1	2	yes	complemented
46	C₂×#88200	C₂²	1	1	yes	characteristic
47	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
48	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
49	C₂×#88198	C₂²	1	1	yes	characteristic, complemented
50	C₂×#88194	C₂²	1	1	yes	characteristic
51	C₂×#88192	C₂²	1	1	yes	characteristic
52	C₂×#88184	C₂²	1	2	yes	—
53	C₂×#88184	C₂²	1	2	yes	complemented
54	C₂×#88183	C₂²	1	2	yes	complemented
55	C₂²×#6103	C₂²	1	2	yes	—
56	#11719431	C₂²	1	16	yes	complemented
57	#11719429	C₂²	1	16	yes	complemented
58	#11719416	C₂²	1	32	yes	complemented
59	#11719414	C₂²	1	32	yes	complemented
60	#11719412	C₂²	1	32	yes	complemented
61	#11719409	C₂²	1	32	yes	complemented
62	#11719382	C₂²	1	16	yes	complemented
63	#11719381	C₂²	1	16	yes	complemented
64	#11719379	C₂²	1	16	yes	complemented
65	#11719373	C₂²	1	16	yes	complemented
66	#11719352	C₂²	1	32	yes	complemented
67	#11719349	C₂²	1	32	yes	complemented
68	#11719290	C₂²	1	16	yes	complemented
69	#11719288	C₂²	1	16	yes	complemented
70	#11719285	C₂²	1	16	yes	complemented
71	#11719285	C₂²	1	16	yes	complemented
72	#11719282	C₂²	1	16	yes	complemented
73	#11719281	C₂²	1	16	yes	complemented
74	#11719267	C₂²	1	16	yes	complemented
75	#11719259	C₂²	1	16	yes	complemented
76	#11719240	C₂²	1	32	yes	complemented
77	#11719232	C₂²	1	32	yes	complemented
78	C₂×#88152	C₂²	1	2	yes	—
79	C₂×#88152	C₂²	1	1	yes	characteristic
80	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
81	C₂×#88152	C₂²	1	2	yes	complemented
82	C₂×#88151	C₂²	1	1	yes	characteristic
83	C₂×#88151	C₂²	1	2	yes	complemented
84	C₂×#88150	C₂²	1	2	yes	complemented
85	C₂×#88150	C₂²	1	2	yes	complemented
86	C₂×#88149	C₂²	1	1	yes	characteristic
87	C₂×#88149	C₂²	1	2	yes	—
88	C₂×#88149	C₂²	1	2	yes	—
89	C₂×#88149	C₂²	1	1	yes	characteristic
90	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
91	C₂×#88149	C₂²	1	2	yes	complemented
92	C₂×#88149	C₂²	1	2	yes	complemented
93	C₂×#88148	C₂²	1	2	yes	—
94	C₂×#88148	C₂²	1	1	yes	characteristic
95	C₂×#88148	C₂²	1	2	yes	complemented
96	C₂×#88148	C₂²	1	2	yes	complemented
97	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
98	C₂×#88148	C₂²	1	2	yes	complemented
99	C₂×#88148	C₂²	1	2	yes	complemented
100	C₂×#88148	C₂²	1	2	yes	complemented
101	C₂×#88148	C₂²	1	2	yes	complemented
102	C₂×#88147	C₂²	1	2	yes	complemented
103	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
104	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
105	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
106	C₂×#88143	C₂²	1	2	yes	complemented
107	C₂×#88140	C₂²	1	2	yes	—
108	C₂×#88139	C₂²	1	2	yes	complemented
109	C₂×#88138	C₂²	1	2	yes	—
110	C₂×#88138	C₂²	1	2	yes	—
111	C₂×#88138	C₂²	1	2	yes	—
112	C₂×#88138	C₂²	1	2	yes	complemented
113	C₂×#88138	C₂²	1	2	yes	complemented
114	C₂×#88138	C₂²	1	2	yes	complemented
115	C₂×#88138	C₂²	1	2	yes	complemented
116	C₂×#88137	C₂²	1	2	yes	—
117	C₂×#88137	C₂²	1	2	yes	complemented
118	C₂×#88136	C₂²	1	2	yes	—
119	C₂×#88136	C₂²	1	2	yes	—
120	C₂×#88136	C₂²	1	2	yes	—
121	C₂×#88136	C₂²	1	2	yes	—
122	C₂×#88135	C₂²	1	2	yes	complemented
123	C₂×#88135	C₂²	1	2	yes	complemented
124	C₂×#88135	C₂²	1	2	yes	complemented
125	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
126	C₂×#88132	C₂²	1	2	yes	complemented
127	C₂×#88130	C₂²	1	2	yes	—
128	C₂×#88129	C₂²	1	1	yes	characteristic
129	C₂×#88129	C₂²	1	2	yes	—
130	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
131	C₂×#88128	C₂²	1	1	yes	characteristic
132	C₂×#88128	C₂²	1	2	yes	complemented
133	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
134	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
135	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
136	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
137	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
138	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
139	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
140	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
141	C₂×#88126	C₂²	1	1	yes	characteristic
142	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
143	C₂×#88126	C₂²	1	2	yes	complemented
144	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
145	C₂×#88124	C₂²	1	2	yes	complemented
146	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₃	C₂³	1	2	yes	—
148	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
149	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
150	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
151	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
153	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
154	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
155	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
156	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
157	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
158	C₂³×Dic₁₃	C₂³	1	2	yes	—
159	C₂×#6131	—	4	4	no	—
160	C₂×#6131	—	4	4	no	—
161	C₂×#6131	—	4	4	no	—
162	C₂×#6131	C₂³	1	8	yes	—
163	C₂×#6131	C₂³	1	8	yes	—
164	C₂×#6131	C₂³	1	8	yes	complemented
165	C₂×Q₈×D₁₃	—	4	4	no	—
166	C₂×Q₈×D₁₃	C₂³	1	8	yes	complemented
167	C₂×#6129	—	4	4	no	—
168	C₂×#6129	C₂³	1	8	yes	—
169	C₂×D₄×D₁₃	—	4	4	no	—
170	C₂×D₄×D₁₃	C₂³	1	8	yes	—
171	C₂²×D₅₂	C₂³	1	1	yes	characteristic
172	C₂²×D₅₂	C₂³	1	1	yes	characteristic
173	C₂²×D₅₂	C₂³	1	1	yes	characteristic
174	C₂²×D₅₂	C₂³	1	1	yes	characteristic
175	C₂²×D₅₂	C₂³	1	2	yes	—
176	C₂²×D₅₂	C₂³	1	1	yes	characteristic
177	C₂²×D₅₂	C₂³	1	2	yes	—
178	C₂²×D₅₂	C₂³	1	2	yes	—
179	C₂²×D₅₂	C₂³	1	2	yes	—
180	C₂²×D₅₂	C₂³	1	2	yes	—
181	C₂²×D₅₂	C₂³	1	2	yes	—
182	C₂²×D₅₂	C₂³	1	2	yes	—
183	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
184	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
185	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
186	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
187	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
189	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
190	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
191	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
192	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
193	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
194	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
195	C₂²×Dic₂₆	C₂³	1	2	yes	—
196	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
197	C₁₃×#126	C₂³	1	16	yes	complemented
198	C₁₃×#126	C₂³	1	16	yes	complemented
199	C₁₃×#124	C₂³	1	8	yes	—
200	C₁₃×#124	C₂³	1	8	yes	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
202	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
203	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
204	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
205	C₄×D₄×C₁₃	C₂³	1	8	yes	—
206	C₁₃×#117	C₂³	1	16	yes	complemented
207	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
218	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
222	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
225	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
226	#88201	C₂³	1	8	yes	—
227	#88201	C₂³	1	8	yes	—
228	#88201	C₂³	1	16	yes	complemented
229	#88200	C₂³	1	8	yes	—
230	#88200	C₂³	1	8	yes	complemented
231	#88200	C₂³	1	8	yes	complemented
232	#88198	C₂³	1	8	yes	complemented
233	#88194	C₂³	1	8	yes	—
234	#88192	C₂³	1	8	yes	—
235	#88184	C₂³	1	16	yes	—
236	#88184	C₂³	1	16	yes	complemented
237	#88183	C₂³	1	16	yes	complemented
238	C₂×#6103	C₂³	1	1	yes	characteristic
239	C₂×#6103	C₂³	1	1	yes	characteristic
240	C₂×#6103	C₂³	1	2	yes	—
241	C₂×#6103	C₂³	1	2	yes	—
242	C₂×#6103	C₂³	1	1	yes	characteristic
243	C₂×#6103	C₂³	1	1	yes	characteristic
244	C₂×#6103	C₂³	1	1	yes	characteristic
245	C₂×#6103	C₂³	1	1	yes	characteristic
246	C₂×#6103	C₂³	1	2	yes	—
247	C₂×#6103	C₂³	1	1	yes	characteristic
248	C₂×#6103	C₂³	1	1	yes	characteristic
249	C₂×#6103	C₂³	1	2	yes	—
250	C₂×#6103	C₂³	1	2	yes	—
251	C₂×#6103	C₂³	1	1	yes	characteristic
252	C₂×#6103	C₂³	1	2	yes	—
253	C₂×#6103	C₂³	1	2	yes	—
254	C₂×#6103	C₂³	1	1	yes	characteristic
255	C₂×#6103	C₂³	1	2	yes	—
256	C₂×#6103	C₂³	1	2	yes	—
257	C₂×#6103	C₂³	1	2	yes	—
258	C₂×#6103	C₂³	1	2	yes	—
259	C₂×#6103	C₂³	1	2	yes	—
260	C₂×#6103	C₂³	1	2	yes	—
261	C₂×#6103	C₂³	1	16	yes	—
262	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
264	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
265	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
268	C₂×#6101	C₂³	1	2	yes	—
269	C₂×#6101	C₂³	1	1	yes	characteristic
270	C₂×#6101	C₂³	1	2	yes	—
271	C₂×#6101	C₂³	1	2	yes	—
272	C₂×#6101	C₂³	1	1	yes	characteristic
273	C₂×#6101	C₂³	1	2	yes	—
274	C₂×#6101	C₂³	1	2	yes	—
275	C₂×#6101	C₂³	1	1	yes	characteristic
276	C₂×#6101	C₂³	1	1	yes	characteristic
277	C₂×#6101	C₂³	1	2	yes	—
278	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
279	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	#88152	C₂³	1	8	yes	—
283	#88152	C₂³	1	16	yes	—
284	#88152	C₂³	1	16	yes	complemented
285	#88152	C₂³	1	8	yes	complemented
286	#88151	C₂³	1	8	yes	—
287	#88151	C₂³	1	16	yes	complemented
288	#88150	C₂³	1	16	yes	complemented
289	#88150	C₂³	1	16	yes	complemented
290	#88149	C₂³	1	16	yes	—
291	#88149	C₂³	1	8	yes	—
292	#88149	C₂³	1	16	yes	—
293	#88149	C₂³	1	8	yes	—
294	#88149	C₂³	1	8	yes	complemented
295	#88149	C₂³	1	16	yes	complemented
296	#88149	C₂³	1	16	yes	complemented
297	#88148	C₂³	1	16	yes	—
298	#88148	C₂³	1	8	yes	—
299	#88148	C₂³	1	16	yes	complemented
300	#88148	C₂³	1	16	yes	complemented
301	#88148	C₂³	1	16	yes	complemented
302	#88148	C₂³	1	16	yes	complemented
303	#88148	C₂³	1	8	yes	complemented
304	#88148	C₂³	1	16	yes	complemented
305	#88148	C₂³	1	16	yes	complemented
306	#88147	C₂³	1	16	yes	complemented
307	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
308	#88144	C₂³	1	8	yes	complemented
309	#88144	C₂³	1	8	yes	complemented
310	#88143	C₂³	1	16	yes	complemented
311	#88140	C₂³	1	16	yes	—
312	#88139	C₂³	1	16	yes	complemented
313	#88138	C₂³	1	16	yes	—
314	#88138	C₂³	1	16	yes	—
315	#88138	C₂³	1	16	yes	—
316	#88138	C₂³	1	16	yes	complemented
317	#88138	C₂³	1	16	yes	complemented
318	#88138	C₂³	1	16	yes	complemented
319	#88138	C₂³	1	16	yes	complemented
320	#88137	C₂³	1	16	yes	—
321	#88137	C₂³	1	16	yes	complemented
322	#88136	C₂³	1	16	yes	—
323	#88136	C₂³	1	16	yes	—
324	#88136	C₂³	1	16	yes	—
325	#88136	C₂³	1	16	yes	—
326	#88135	C₂³	1	16	yes	complemented
327	#88135	C₂³	1	16	yes	complemented
328	#88135	C₂³	1	16	yes	complemented
329	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
330	#88132	C₂³	1	16	yes	complemented
331	#88130	C₂³	1	16	yes	—
332	#88129	C₂³	1	8	yes	—
333	#88129	C₂³	1	16	yes	—
334	#88129	C₂³	1	8	yes	complemented
335	#88128	C₂³	1	8	yes	—
336	#88128	C₂³	1	16	yes	complemented
337	C₄×D₅₂	C₂³	1	8	yes	—
338	C₄×D₅₂	C₂³	1	8	yes	—
339	C₄×D₅₂	C₂³	1	8	yes	—
340	C₄×D₅₂	C₂³	1	8	yes	complemented
341	C₄×D₅₂	C₂³	1	16	yes	complemented
342	C₄×D₅₂	C₂³	1	16	yes	complemented
343	C₄×D₅₂	C₂³	1	16	yes	complemented
344	C₄×D₅₂	C₂³	1	8	yes	complemented
345	#88126	C₂³	1	8	yes	—
346	#88126	C₂³	1	8	yes	complemented
347	#88126	C₂³	1	16	yes	complemented
348	C₄²×D₁₃	C₂³	1	8	yes	complemented
349	#88124	C₂³	1	16	yes	complemented
350	C₄×Dic₂₆	C₂³	1	8	yes	complemented
351	C₂×#3562	—	13	1	no	maximal, Sylow
352	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
353	C₂³×D₁₃	—	4	4	no	—
354	C₂³×D₁₃	—	4	4	no	—
355	C₂³×D₁₃	—	4	4	no	—
356	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
357	C₂³×D₁₃	C₂⁴	1	2	yes	—
358	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
359	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
360	C₂³×D₁₃	C₂⁴	1	2	yes	—
361	C₂³×D₁₃	C₂⁴	1	8	yes	—
362	C₂×Q₈×C₁₃	—	2	4	no	—
363	C₂×Q₈×C₁₃	—	2	4	no	—
364	C₂×Q₈×C₁₃	—	4	2	no	—
365	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
366	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
367	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
368	C₂×D₄×C₁₃	—	2	4	no	—
369	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
370	C₂²×C₄×C₁₃	—	4	4	no	—
371	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
376	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
380	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂×C₂²⋊D₁₃	—	4	4	no	—
383	C₂×C₂²⋊D₁₃	—	4	4	no	—
384	C₂×C₂²⋊D₁₃	—	4	4	no	—
385	C₂×C₂²⋊D₁₃	—	4	4	no	—
386	C₂×C₂²⋊D₁₃	—	4	4	no	—
387	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
388	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
389	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
390	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
391	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
392	C₂²×Dic₁₃	—	4	4	no	—
393	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
397	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
398	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
401	#6131	—	4	16	no	—
402	#6131	—	4	16	no	—
403	#6131	—	4	16	no	—
404	Q₈×D₁₃	—	4	16	no	—
405	#6129	—	4	16	no	—
406	D₄×D₁₃	—	4	16	no	—
407	C₂×D₅₂	—	2	4	no	—
408	C₂×D₅₂	—	2	4	no	—
409	C₂×D₅₂	—	4	2	no	—
410	C₂×D₅₂	—	4	2	no	—
411	C₂×D₅₂	—	4	2	no	—
412	C₂×D₅₂	—	4	4	no	—
413	C₂×D₅₂	—	4	4	no	—
414	C₂×D₅₂	—	4	4	no	—
415	C₂×D₅₂	—	4	4	no	—
416	C₂×D₅₂	—	4	4	no	—
417	C₂×D₅₂	—	4	4	no	—
418	C₂×D₅₂	—	4	4	no	—
419	C₂×D₅₂	C₂⁴	1	4	yes	—
420	C₂×D₅₂	C₂⁴	1	4	yes	—
421	C₂×D₅₂	C₂⁴	1	4	yes	—
422	C₂×D₅₂	C₂⁴	1	4	yes	—
423	C₂×D₅₂	C₂⁴	1	8	yes	—
424	C₂×D₅₂	C₂⁴	1	4	yes	—
425	C₂×D₅₂	C₂⁴	1	8	yes	—
426	C₂×D₅₂	C₂⁴	1	8	yes	—
427	C₂×D₅₂	C₂⁴	1	8	yes	—
428	C₂×D₅₂	C₂⁴	1	8	yes	—
429	C₂×D₅₂	C₂⁴	1	8	yes	—
430	C₂×D₅₂	C₂⁴	1	8	yes	—
431	C₂×C₄×D₁₃	—	2	4	no	—
432	C₂×C₄×D₁₃	—	2	4	no	—
433	C₂×C₄×D₁₃	—	2	4	no	—
434	C₂×C₄×D₁₃	—	4	4	no	—
435	C₂×C₄×D₁₃	—	4	4	no	—
436	C₂×C₄×D₁₃	—	4	2	no	—
437	C₂×C₄×D₁₃	—	4	2	no	—
438	C₂×C₄×D₁₃	—	4	4	no	—
439	C₂×C₄×D₁₃	—	4	4	no	—
440	C₂×C₄×D₁₃	—	4	4	no	—
441	C₂×C₄×D₁₃	—	4	4	no	—
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	4	yes	—
447	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
448	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
449	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
450	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
451	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
452	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
453	C₂×Dic₂₆	—	2	4	no	—
454	C₂×Dic₂₆	—	4	4	no	—
455	C₂×Dic₂₆	C₂⁴	1	4	yes	—
456	C₂×Dic₂₆	C₂⁴	1	8	yes	—
457	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
458	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
459	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
460	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
461	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
462	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
463	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
464	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
465	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
466	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
467	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
468	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
469	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
470	C₄²×C₁₃	C₂⁴	1	4	yes	—
471	C₄²×C₁₃	C₂⁴	1	8	yes	—
472	C₄²×C₁₃	C₂⁴	1	4	yes	—
473	C₄²×C₁₃	C₂⁴	1	4	yes	—
474	C₄²×C₁₃	C₂⁴	1	8	yes	—
475	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
476	#6103	C₂⁴	1	4	yes	—
477	#6103	C₂⁴	1	4	yes	—
478	#6103	C₂⁴	1	8	yes	—
479	#6103	C₂⁴	1	8	yes	—
480	#6103	C₂⁴	1	4	yes	—
481	#6103	C₂⁴	1	4	yes	—
482	#6103	C₂⁴	1	4	yes	—
483	#6103	C₂⁴	1	4	yes	—
484	#6103	C₂⁴	1	8	yes	—
485	#6103	C₂⁴	1	4	yes	—
486	#6103	C₂⁴	1	4	yes	—
487	#6103	C₂⁴	1	8	yes	—
488	#6103	C₂⁴	1	8	yes	—
489	#6103	C₂⁴	1	4	yes	—
490	#6103	C₂⁴	1	8	yes	—
491	#6103	C₂⁴	1	8	yes	—
492	#6103	C₂⁴	1	4	yes	—
493	#6103	C₂⁴	1	8	yes	—
494	#6103	C₂⁴	1	8	yes	—
495	#6103	C₂⁴	1	8	yes	—
496	#6103	C₂⁴	1	8	yes	—
497	#6103	C₂⁴	1	8	yes	—
498	#6103	C₂⁴	1	8	yes	—
499	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
500	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
501	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
502	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
503	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
504	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
505	#6101	C₂⁴	1	8	yes	—
506	#6101	C₂⁴	1	4	yes	—
507	#6101	C₂⁴	1	8	yes	—
508	#6101	C₂⁴	1	8	yes	—
509	#6101	C₂⁴	1	4	yes	—
510	#6101	C₂⁴	1	8	yes	—
511	#6101	C₂⁴	1	8	yes	—
512	#6101	C₂⁴	1	4	yes	—
513	#6101	C₂⁴	1	4	yes	—
514	#6101	C₂⁴	1	8	yes	—
515	C₄×Dic₁₃	C₂⁴	1	8	yes	—
516	C₄×Dic₁₃	C₂⁴	1	4	yes	—
517	C₄×Dic₁₃	C₂⁴	1	4	yes	—
518	C₄×Dic₁₃	C₂⁴	1	4	yes	—
519	#3562	—	13	32	no	—
520	C₂×#562	—	13	2	no	—
521	C₂×#560	—	13	2	no	—
522	C₂×#559	—	13	1	no	—
523	C₂×#556	D₁₃	1	1	yes	characteristic, complemented
524	C₂×#553	—	13	2	no	—
525	C₂×#551	—	13	2	no	—
526	C₂×#550	—	13	1	no	—
527	C₂×#548	—	13	1	no	—
528	C₂×#548	—	13	1	no	—
529	C₂×#547	—	13	1	no	—
530	C₂×#546	—	13	1	no	—
531	C₂×#546	—	13	1	no	—
532	C₂×#541	—	13	1	no	—
533	C₂×#540	—	13	1	no	—
534	C₂×#540	—	13	2	no	—
535	C₂×#539	—	13	2	no	—
536	C₂×#538	—	13	2	no	—
537	C₂×#538	—	13	2	no	—
538	C₂×#536	—	13	1	no	—
539	C₂×#535	—	13	1	no	—
540	C₂×#532	—	13	1	no	—
541	C₂×#529	—	13	1	no	—
542	C₂×#529	—	13	1	no	—
543	C₂³×C₁₃	—	2	4	no	—
544	C₂³×C₁₃	—	2	4	no	—
545	C₂³×C₁₃	—	2	4	no	—
546	C₂³×C₁₃	C₂⁵	1	4	yes	—
547	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
548	C₂²×D₁₃	—	2	2	no	—
549	C₂²×D₁₃	—	2	2	no	—
550	C₂²×D₁₃	—	2	2	no	—
551	C₂²×D₁₃	—	2	4	no	—
552	C₂²×D₁₃	—	2	4	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	4	no	—
559	C₂²×D₁₃	—	2	4	no	—
560	C₂²×D₁₃	—	2	2	no	—
561	C₂²×D₁₃	—	2	2	no	—
562	C₂²×D₁₃	—	2	2	no	—
563	C₂²×D₁₃	—	4	8	no	—
564	C₂²×D₁₃	—	4	8	no	—
565	C₂²×D₁₃	—	4	8	no	—
566	C₂²×D₁₃	—	8	16	no	—
567	C₂²×D₁₃	C₂⁵	1	2	yes	—
568	C₂²×D₁₃	C₂⁵	1	4	yes	—
569	C₂²×D₁₃	C₂⁵	1	2	yes	—
570	C₂²×D₁₃	C₂⁵	1	2	yes	—
571	C₂²×D₁₃	C₂⁵	1	4	yes	—
572	Q₈×C₁₃	—	2	8	no	—
573	Q₈×C₁₃	—	2	8	no	—
574	Q₈×C₁₃	—	4	4	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	2	no	—
582	C₂×C₄×C₁₃	—	2	4	no	—
583	C₂×C₄×C₁₃	—	2	2	no	—
584	C₂×C₄×C₁₃	—	2	2	no	—
585	C₂×C₄×C₁₃	—	4	8	no	—
586	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
587	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
588	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
589	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
590	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
591	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
592	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
593	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
594	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
595	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
596	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
597	C₂²⋊D₁₃	—	4	8	no	—
598	C₂²⋊D₁₃	—	4	8	no	—
599	C₂²⋊D₁₃	—	4	8	no	—
600	C₂²⋊D₁₃	—	4	8	no	—
601	C₂²⋊D₁₃	—	4	8	no	—
602	C₂×Dic₁₃	—	2	4	no	—
603	C₂×Dic₁₃	—	2	2	no	—
604	C₂×Dic₁₃	—	2	2	no	—
605	C₂×Dic₁₃	—	2	2	no	—
606	C₂×Dic₁₃	—	2	4	no	—
607	C₂×Dic₁₃	—	2	2	no	—
608	C₂×Dic₁₃	—	2	2	no	—
609	C₂×Dic₁₃	—	4	8	no	—
610	C₂×Dic₁₃	C₂⁵	1	2	yes	—
611	C₂×Dic₁₃	C₂⁵	1	2	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	2	yes	—
616	C₂×Dic₁₃	C₂⁵	1	2	yes	—
617	D₅₂	—	2	8	no	—
618	D₅₂	—	2	8	no	—
619	D₅₂	—	4	4	no	—
620	D₅₂	—	4	4	no	—
621	D₅₂	—	4	4	no	—
622	D₅₂	—	4	8	no	—
623	D₅₂	—	4	8	no	—
624	D₅₂	—	4	8	no	—
625	D₅₂	—	4	8	no	—
626	D₅₂	—	4	8	no	—
627	D₅₂	—	4	8	no	—
628	D₅₂	—	4	8	no	—
629	C₄×D₁₃	—	2	8	no	—
630	C₄×D₁₃	—	2	8	no	—
631	C₄×D₁₃	—	2	8	no	—
632	C₄×D₁₃	—	4	8	no	—
633	C₄×D₁₃	—	4	8	no	—
634	C₄×D₁₃	—	4	4	no	—
635	C₄×D₁₃	—	4	4	no	—
636	C₄×D₁₃	—	4	8	no	—
637	C₄×D₁₃	—	4	8	no	—
638	C₄×D₁₃	—	4	8	no	—
639	C₄×D₁₃	—	4	8	no	—
640	Dic₂₆	—	2	8	no	—
641	Dic₂₆	—	4	8	no	—
642	C₂²×#41	—	13	1	no	—
643	C₂²×#41	—	13	1	no	—
644	C₂²×#41	—	13	1	no	—
645	C₂²×#41	—	13	1	no	—
646	C₂³×Q₈	—	13	1	no	—
647	C₂³×D₄	—	13	1	no	—
648	#562	—	13	32	no	—
649	#560	—	13	32	no	—
650	#559	—	13	16	no	—
651	#556	C₂×D₁₃	1	16	yes	complemented
652	#553	—	13	32	no	—
653	#551	—	13	32	no	—
654	#550	—	13	16	no	—
655	#548	—	13	16	no	—
656	#548	—	13	16	no	—
657	#547	—	13	16	no	—
658	#546	—	13	16	no	—
659	#546	—	13	16	no	—
660	#541	—	13	16	no	—
661	#540	—	13	16	no	—
662	#540	—	13	32	no	—
663	#539	—	13	32	no	—
664	#538	—	13	32	no	—
665	#538	—	13	32	no	—
666	#536	—	13	16	no	—
667	#535	—	13	16	no	—
668	#532	—	13	16	no	—
669	C₂×C₄⋊Q₈	—	13	1	no	—
670	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
671	C₂×#127	—	13	1	no	—
672	C₂×#127	—	13	1	no	—
673	C₂×#127	—	13	2	no	—
674	#529	—	13	16	no	—
675	#529	—	13	16	no	—
676	C₂×#126	—	13	1	no	—
677	C₂×#126	—	13	2	no	—
678	C₂×#126	—	13	2	no	—
679	C₂×#126	—	13	1	no	—
680	C₂×#126	—	13	2	no	—
681	C₂×#126	C₂×D₁₃	1	2	yes	complemented
682	C₂×#126	C₂×D₁₃	1	2	yes	complemented
683	C₂×#125	—	13	2	no	—
684	C₂×#125	—	13	1	no	—
685	C₂×#125	—	13	1	no	—
686	C₂×#125	—	13	2	no	—
687	C₂×#124	—	13	1	no	—
688	C₂×#124	—	13	1	no	—
689	C₂×#124	—	13	2	no	—
690	C₂×#124	—	13	2	no	—
691	C₂×#124	—	13	1	no	—
692	C₂×#124	—	13	2	no	—
693	C₂×#124	—	13	1	no	—
694	C₂×#124	C₂×D₁₃	1	1	yes	characteristic
695	C₂×#124	C₂×D₁₃	1	1	yes	characteristic
696	C₂×#123	—	13	2	no	—
697	C₂×#123	—	13	1	no	—
698	C₂×#123	—	13	2	no	—
699	C₂×#123	—	13	1	no	—
700	C₂×#123	—	13	2	no	—
701	C₂×#123	—	13	2	no	—
702	C₂×#123	—	13	2	no	—
703	C₂×#123	—	13	2	no	—
704	C₂×#123	—	13	2	no	—
705	C₂×#123	—	13	2	no	—
706	C₂×#123	—	13	2	no	—
707	C₂×#123	—	13	2	no	—
708	C₂×#123	—	13	2	no	—
709	C₂×C₂²⋊Q₈	—	13	1	no	—
710	C₂×C₂²⋊Q₈	—	13	1	no	—
711	C₂×C₂²⋊Q₈	—	13	1	no	—
712	C₂×C₂²⋊Q₈	—	13	2	no	—
713	C₂×C₂²⋊Q₈	—	13	2	no	—
714	C₂×C₂²⋊Q₈	—	13	1	no	—
715	C₂×C₂²⋊Q₈	—	13	2	no	—
716	C₂×C₂²⋊Q₈	—	13	2	no	—
717	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	complemented
718	C₂×#121	—	13	1	no	—
719	C₂×#121	—	13	2	no	—
720	C₂×#121	—	13	2	no	—
721	C₂×#121	—	13	1	no	—
722	C₂×#121	—	13	1	no	—
723	C₂×#121	—	13	2	no	—
724	C₂×#121	—	13	2	no	—
725	C₂×#121	—	13	2	no	—
726	C₂×#121	—	13	2	no	—
727	C₂×#121	—	13	1	no	—
728	C₂×#121	—	13	2	no	—
729	C₂×#121	—	13	2	no	—
730	C₂×#121	—	13	2	no	—
731	C₂×#121	—	13	2	no	—
732	C₂×#121	—	13	2	no	—
733	C₂×#121	—	13	2	no	—
734	C₂×#121	—	13	2	no	—
735	C₂×#120	—	13	2	no	—
736	C₂×#120	—	13	2	no	—
737	C₂×#120	—	13	2	no	—
738	C₂×#120	—	13	2	no	—
739	C₂×C₄×Q₈	—	13	1	no	—
740	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
741	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
742	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
743	C₂×C₄×D₄	—	13	2	no	—
744	C₂×C₄×D₄	—	13	2	no	—
745	C₂×C₄×D₄	—	13	2	no	—
746	C₂×C₄×D₄	—	13	2	no	—
747	C₂×C₄×D₄	—	13	1	no	—
748	C₂×C₄×D₄	—	13	1	no	—
749	C₂×C₄×D₄	—	13	1	no	—
750	C₂×C₄×D₄	—	13	2	no	—
751	C₂×C₄×D₄	—	13	1	no	—
752	C₂×C₄×D₄	—	13	2	no	—
753	C₂×C₄×D₄	—	13	1	no	—
754	C₂×C₄×D₄	—	13	2	no	—
755	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
756	C₂×#117	—	13	1	no	—
757	C₂×#117	—	13	1	no	—
758	C₂×#117	—	13	2	no	—
759	C₂×#117	C₂×D₁₃	1	2	yes	complemented
760	C₂²×C₄⋊C₄	—	13	2	no	—
761	C₂²×C₂²⋊C₄	—	13	2	no	—
762	C₂²×C₂²⋊C₄	—	13	2	no	—
763	C₂²×C₄²	—	13	1	no	—
764	C₂²×C₁₃	—	2	4	no	—
765	C₂²×C₁₃	—	2	4	no	—
766	C₂²×C₁₃	—	2	4	no	—
767	C₂²×C₁₃	—	4	8	no	—
768	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
769	C₂²×C₁₃	#585	1	2	yes	—
770	C₂²×C₁₃	#585	1	2	yes	—
771	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
772	C₂×D₁₃	—	2	2	no	—
773	C₂×D₁₃	—	2	2	no	—
774	C₂×D₁₃	—	2	2	no	—
775	C₂×D₁₃	—	2	4	no	—
776	C₂×D₁₃	—	2	4	no	—
777	C₂×D₁₃	—	2	2	no	—
778	C₂×D₁₃	—	2	2	no	—
779	C₂×D₁₃	—	2	4	no	—
780	C₂×D₁₃	—	2	4	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	2	no	—
786	C₂×D₁₃	—	2	2	no	—
787	C₂×D₁₃	—	4	4	no	—
788	C₂×D₁₃	—	4	4	no	—
789	C₂×D₁₃	—	4	8	no	—
790	C₂×D₁₃	—	4	8	no	—
791	C₂×D₁₃	—	4	4	no	—
792	C₂×D₁₃	—	8	16	no	—
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	2	no	—
799	C₄×C₁₃	—	2	4	no	—
800	C₄×C₁₃	—	2	2	no	—
801	C₄×C₁₃	—	2	2	no	—
802	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
803	Dic₁₃	—	2	4	no	—
804	Dic₁₃	—	2	2	no	—
805	Dic₁₃	—	2	2	no	—
806	Dic₁₃	—	2	2	no	—
807	Dic₁₃	—	2	4	no	—
808	Dic₁₃	—	2	2	no	—
809	Dic₁₃	—	2	2	no	—
810	C₂⁵	—	13	2	no	—
811	C₂×#41	—	13	8	no	—
812	C₂×#41	—	13	8	no	—
813	C₂×#41	—	13	8	no	—
814	C₂×#41	—	13	8	no	—
815	C₂×#41	—	52	4	no	—
816	C₂×#41	—	52	4	no	—
817	C₂×#41	—	52	4	no	—
818	C₂×#41	—	52	4	no	—
819	C₂²×Q₈	—	13	8	no	—
820	C₂²×Q₈	—	13	1	no	—
821	C₂²×Q₈	—	13	2	no	—
822	C₂²×Q₈	—	52	4	no	—
823	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
824	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
825	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
826	C₂²×D₄	—	13	2	no	—
827	C₂²×D₄	—	13	2	no	—
828	C₂²×D₄	—	13	2	no	—
829	C₂²×D₄	—	13	2	no	—
830	C₂²×D₄	—	13	2	no	—
831	C₂²×D₄	—	13	8	no	—
832	C₂²×D₄	—	13	1	no	—
833	C₂²×D₄	—	13	1	no	—
834	C₂²×D₄	—	13	1	no	—
835	C₂²×D₄	—	13	1	no	—
836	C₂²×D₄	—	13	2	no	—
837	C₂²×D₄	—	13	2	no	—
838	C₂²×D₄	—	13	2	no	—
839	C₂²×D₄	—	13	2	no	—
840	C₂²×D₄	—	13	1	no	—
841	C₂²×D₄	—	13	2	no	—
842	C₂²×D₄	—	13	2	no	—
843	C₂²×D₄	—	13	2	no	—
844	C₂²×D₄	—	52	4	no	—
845	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
846	C₂³×C₄	—	13	2	no	—
847	C₂³×C₄	—	13	1	no	—
848	C₂³×C₄	—	13	1	no	—
849	C₂³×C₄	—	13	1	no	—
850	C₂³×C₄	—	13	2	no	—
851	C₂³×C₄	—	13	2	no	—
852	C₂³×C₄	—	13	2	no	—
853	C₂³×C₄	—	13	2	no	—
854	C₂³×C₄	—	13	2	no	—
855	C₂³×C₄	—	13	2	no	—
856	C₂³×C₄	—	13	1	no	—
857	C₂³×C₄	—	13	1	no	—
858	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
859	C₄⋊Q₈	—	13	8	no	—
860	C₄⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
861	#127	—	13	8	no	—
862	#127	—	13	8	no	—
863	#127	—	13	16	no	—
864	#126	—	13	16	no	—
865	#126	—	13	8	no	—
866	#126	—	13	8	no	—
867	#126	—	13	16	no	—
868	#126	—	13	16	no	—
869	#126	C₂²×D₁₃	1	16	yes	complemented
870	#126	C₂²×D₁₃	1	16	yes	complemented
871	#125	—	13	8	no	—
872	#125	—	13	8	no	—
873	#125	—	13	16	no	—
874	#125	—	13	16	no	—
875	#124	—	13	8	no	—
876	#124	—	13	8	no	—
877	#124	—	13	16	no	—
878	#124	—	13	16	no	—
879	#124	—	13	8	no	—
880	#124	—	13	8	no	—
881	#124	—	13	16	no	—
882	#124	C₂²×D₁₃	1	8	yes	—
883	#124	C₂²×D₁₃	1	8	yes	—
884	#123	—	13	16	no	—
885	#123	—	13	8	no	—
886	#123	—	13	8	no	—
887	#123	—	13	16	no	—
888	#123	—	13	16	no	—
889	#123	—	13	16	no	—
890	#123	—	13	16	no	—
891	#123	—	13	16	no	—
892	#123	—	13	16	no	—
893	#123	—	13	16	no	—
894	#123	—	13	16	no	—
895	#123	—	13	16	no	—
896	#123	—	13	16	no	—
897	C₂²⋊Q₈	—	13	8	no	—
898	C₂²⋊Q₈	—	13	8	no	—
899	C₂²⋊Q₈	—	13	8	no	—
900	C₂²⋊Q₈	—	13	16	no	—
901	C₂²⋊Q₈	—	13	16	no	—
902	C₂²⋊Q₈	—	13	16	no	—
903	C₂²⋊Q₈	—	13	8	no	—
904	C₂²⋊Q₈	—	13	16	no	—
905	C₂²⋊Q₈	C₂²×D₁₃	1	16	yes	complemented
906	#121	—	13	8	no	—
907	#121	—	13	16	no	—
908	#121	—	13	16	no	—
909	#121	—	13	8	no	—
910	#121	—	13	8	no	—
911	#121	—	13	16	no	—
912	#121	—	13	16	no	—
913	#121	—	13	16	no	—
914	#121	—	13	16	no	—
915	#121	—	13	8	no	—
916	#121	—	13	16	no	—
917	#121	—	13	16	no	—
918	#121	—	13	16	no	—
919	#121	—	13	16	no	—
920	#121	—	13	16	no	—
921	#121	—	13	16	no	—
922	#121	—	13	16	no	—
923	#120	—	13	16	no	—
924	#120	—	13	16	no	—
925	#120	—	13	16	no	—
926	#120	—	13	16	no	—
927	C₄×Q₈	—	13	8	no	—
928	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
929	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
930	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
931	C₄×D₄	—	13	16	no	—
932	C₄×D₄	—	13	16	no	—
933	C₄×D₄	—	13	16	no	—
934	C₄×D₄	—	13	16	no	—
935	C₄×D₄	—	13	16	no	—
936	C₄×D₄	—	13	8	no	—
937	C₄×D₄	—	13	8	no	—
938	C₄×D₄	—	13	8	no	—
939	C₄×D₄	—	13	8	no	—
940	C₄×D₄	—	13	16	no	—
941	C₄×D₄	—	13	8	no	—
942	C₄×D₄	—	13	16	no	—
943	C₄×D₄	C₂²×D₁₃	1	8	yes	—
944	#117	—	13	8	no	—
945	#117	—	13	8	no	—
946	#117	—	13	16	no	—
947	#117	C₂²×D₁₃	1	16	yes	complemented
948	C₂×C₄⋊C₄	—	13	1	no	—
949	C₂×C₄⋊C₄	—	13	2	no	—
950	C₂×C₄⋊C₄	—	13	2	no	—
951	C₂×C₄⋊C₄	—	13	1	no	—
952	C₂×C₄⋊C₄	—	13	1	no	—
953	C₂×C₄⋊C₄	—	13	2	no	—
954	C₂×C₄⋊C₄	—	13	1	no	—
955	C₂×C₄⋊C₄	—	13	1	no	—
956	C₂×C₄⋊C₄	—	13	1	no	—
957	C₂×C₄⋊C₄	—	13	1	no	—
958	C₂×C₄⋊C₄	—	13	2	no	—
959	C₂×C₄⋊C₄	—	13	2	no	—
960	C₂×C₄⋊C₄	—	13	2	no	—
961	C₂×C₄⋊C₄	—	13	2	no	—
962	C₂×C₄⋊C₄	—	13	1	no	—
963	C₂×C₄⋊C₄	—	13	2	no	—
964	C₂×C₄⋊C₄	—	13	16	no	—
965	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
966	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
968	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
971	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
972	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
973	C₂×C₂²⋊C₄	—	13	2	no	—
974	C₂×C₂²⋊C₄	—	13	1	no	—
975	C₂×C₂²⋊C₄	—	13	1	no	—
976	C₂×C₂²⋊C₄	—	13	2	no	—
977	C₂×C₂²⋊C₄	—	13	2	no	—
978	C₂×C₂²⋊C₄	—	13	2	no	—
979	C₂×C₂²⋊C₄	—	13	2	no	—
980	C₂×C₂²⋊C₄	—	13	16	no	—
981	C₂×C₂²⋊C₄	—	13	1	no	—
982	C₂×C₂²⋊C₄	—	13	1	no	—
983	C₂×C₂²⋊C₄	—	13	2	no	—
984	C₂×C₂²⋊C₄	—	13	1	no	—
985	C₂×C₂²⋊C₄	—	13	1	no	—
986	C₂×C₂²⋊C₄	—	13	1	no	—
987	C₂×C₂²⋊C₄	—	13	1	no	—
988	C₂×C₂²⋊C₄	—	13	2	no	—
989	C₂×C₂²⋊C₄	—	13	2	no	—
990	C₂×C₂²⋊C₄	—	13	2	no	—
991	C₂×C₂²⋊C₄	—	13	2	no	—
992	C₂×C₂²⋊C₄	—	13	1	no	—
993	C₂×C₂²⋊C₄	—	13	2	no	—
994	C₂×C₂²⋊C₄	—	13	2	no	—
995	C₂×C₂²⋊C₄	—	13	2	no	—
996	C₂×C₂²⋊C₄	—	13	1	no	—
997	C₂×C₂²⋊C₄	—	13	2	no	—
998	C₂×C₂²⋊C₄	—	13	16	no	—
999	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1000	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1001	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1002	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1003	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1004	C₂×C₄²	—	13	1	no	—
1005	C₂×C₄²	—	13	1	no	—
1006	C₂×C₄²	—	13	2	no	—
1007	C₂×C₄²	—	13	1	no	—
1008	C₂×C₄²	—	13	8	no	—
1009	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
1010	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1011	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1012	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
1013	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1014	C₂×C₁₃	—	4	4	no	—
1015	C₂×C₁₃	#3562	1	4	yes	complemented
1016	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1017	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1018	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1019	D₁₃	—	4	2	no	—
1020	D₁₃	—	4	2	no	—
1021	D₁₃	—	4	4	no	—
1022	D₁₃	—	4	4	no	—
1023	D₁₃	—	4	2	no	—
1024	C₂⁴	—	13	1	no	—
1025	C₂⁴	—	13	2	no	—
1026	C₂⁴	—	13	1	no	—
1027	C₂⁴	—	13	1	no	—
1028	C₂⁴	—	13	2	no	—
1029	C₂⁴	—	13	8	no	—
1030	C₂⁴	—	52	4	no	—
1031	C₂⁴	—	52	4	no	—
1032	C₂⁴	—	52	4	no	—
1033	C₂⁴	C₂³×D₁₃	1	2	yes	—
1034	#41	—	52	16	no	—
1035	#41	—	52	16	no	—
1036	#41	—	52	16	no	—
1037	#41	—	52	16	no	—
1038	C₂×Q₈	—	2	4	no	—
1039	C₂×Q₈	—	2	4	no	—
1040	C₂×Q₈	—	4	2	no	—
1041	C₂×Q₈	—	13	4	no	—
1042	C₂×Q₈	—	13	8	no	—
1043	C₂×Q₈	—	26	4	no	—
1044	C₂×Q₈	—	52	4	no	—
1045	C₂×Q₈	—	52	16	no	—
1046	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1047	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1048	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1049	C₂×D₄	—	2	4	no	—
1050	C₂×D₄	—	13	8	no	—
1051	C₂×D₄	—	13	8	no	—
1052	C₂×D₄	—	13	8	no	—
1053	C₂×D₄	—	13	8	no	—
1054	C₂×D₄	—	13	8	no	—
1055	C₂×D₄	—	13	4	no	—
1056	C₂×D₄	—	13	4	no	—
1057	C₂×D₄	—	13	4	no	—
1058	C₂×D₄	—	13	4	no	—
1059	C₂×D₄	—	13	8	no	—
1060	C₂×D₄	—	13	8	no	—
1061	C₂×D₄	—	13	8	no	—
1062	C₂×D₄	—	13	8	no	—
1063	C₂×D₄	—	13	4	no	—
1064	C₂×D₄	—	13	8	no	—
1065	C₂×D₄	—	13	8	no	—
1066	C₂×D₄	—	13	8	no	—
1067	C₂×D₄	—	26	4	no	—
1068	C₂×D₄	—	26	4	no	—
1069	C₂×D₄	—	52	4	no	—
1070	C₂×D₄	—	52	4	no	—
1071	C₂×D₄	—	52	4	no	—
1072	C₂×D₄	—	52	4	no	—
1073	C₂×D₄	—	52	4	no	—
1074	C₂×D₄	—	52	2	no	—
1075	C₂×D₄	—	52	4	no	—
1076	C₂×D₄	—	52	2	no	—
1077	C₂×D₄	—	52	4	no	—
1078	C₂×D₄	—	52	2	no	—
1079	C₂×D₄	—	52	16	no	—
1080	C₂×D₄	—	52	4	no	—
1081	C₂×D₄	—	52	4	no	—
1082	C₂×D₄	—	52	4	no	—
1083	C₂×D₄	—	52	4	no	—
1084	C₂×D₄	—	52	4	no	—
1085	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1086	C₂²×C₄	—	4	4	no	—
1087	C₂²×C₄	—	13	1	no	—
1088	C₂²×C₄	—	13	1	no	—
1089	C₂²×C₄	—	13	1	no	—
1090	C₂²×C₄	—	13	2	no	—
1091	C₂²×C₄	—	13	2	no	—
1092	C₂²×C₄	—	13	1	no	—
1093	C₂²×C₄	—	13	1	no	—
1094	C₂²×C₄	—	13	8	no	—
1095	C₂²×C₄	—	13	4	no	—
1096	C₂²×C₄	—	13	4	no	—
1097	C₂²×C₄	—	13	4	no	—
1098	C₂²×C₄	—	13	4	no	—
1099	C₂²×C₄	—	13	4	no	—
1100	C₂²×C₄	—	13	8	no	—
1101	C₂²×C₄	—	13	8	no	—
1102	C₂²×C₄	—	13	8	no	—
1103	C₂²×C₄	—	13	8	no	—
1104	C₂²×C₄	—	13	8	no	—
1105	C₂²×C₄	—	13	8	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	4	no	—
1111	C₂²×C₄	—	52	4	no	—
1112	C₂²×C₄	—	52	4	no	—
1113	C₂²×C₄	—	52	2	no	—
1114	C₂²×C₄	—	52	4	no	—
1115	C₂²×C₄	—	52	2	no	—
1116	C₂²×C₄	—	52	4	no	—
1117	C₂²×C₄	—	52	4	no	—
1118	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1120	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1123	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1126	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1127	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1128	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1129	C₄⋊C₄	—	13	4	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	4	no	—
1136	C₄⋊C₄	—	13	4	no	—
1137	C₄⋊C₄	—	13	4	no	—
1138	C₄⋊C₄	—	13	4	no	—
1139	C₄⋊C₄	—	13	8	no	—
1140	C₄⋊C₄	—	13	8	no	—
1141	C₄⋊C₄	—	13	8	no	—
1142	C₄⋊C₄	—	13	8	no	—
1143	C₄⋊C₄	—	13	4	no	—
1144	C₄⋊C₄	—	13	8	no	—
1145	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1146	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1147	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1148	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1149	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1150	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1151	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1152	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1153	C₂²⋊C₄	—	13	8	no	—
1154	C₂²⋊C₄	—	13	4	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	8	no	—
1163	C₂²⋊C₄	—	13	4	no	—
1164	C₂²⋊C₄	—	13	4	no	—
1165	C₂²⋊C₄	—	13	4	no	—
1166	C₂²⋊C₄	—	13	4	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	—	13	4	no	—
1172	C₂²⋊C₄	—	13	8	no	—
1173	C₂²⋊C₄	—	13	8	no	—
1174	C₂²⋊C₄	—	13	8	no	—
1175	C₂²⋊C₄	—	13	4	no	—
1176	C₂²⋊C₄	—	13	8	no	—
1177	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1178	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1179	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1180	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1181	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1182	C₄²	—	13	4	no	—
1183	C₄²	—	13	4	no	—
1184	C₄²	—	13	4	no	—
1185	C₄²	—	13	8	no	—
1186	C₄²	C₂³×D₁₃	1	4	yes	—
1187	C₄²	C₂³×D₁₃	1	8	yes	—
1188	C₄²	C₂³×D₁₃	1	4	yes	—
1189	C₄²	C₂³×D₁₃	1	4	yes	—
1190	C₄²	C₂³×D₁₃	1	8	yes	—
1191	C₁₃	C₂×#3562	1	1	yes	characteristic, complemented, Sylow
1192	C₂³	—	2	4	no	—
1193	C₂³	—	2	4	no	—
1194	C₂³	—	2	4	no	—
1195	C₂³	—	13	2	no	—
1196	C₂³	—	13	4	no	—
1197	C₂³	—	13	2	no	—
1198	C₂³	—	13	2	no	—
1199	C₂³	—	13	4	no	—
1200	C₂³	—	26	2	no	—
1201	C₂³	—	26	2	no	—
1202	C₂³	—	26	2	no	—
1203	C₂³	—	26	4	no	—
1204	C₂³	—	26	4	no	—
1205	C₂³	—	26	2	no	—
1206	C₂³	—	26	2	no	—
1207	C₂³	—	26	4	no	—
1208	C₂³	—	26	4	no	—
1209	C₂³	—	26	2	no	—
1210	C₂³	—	26	2	no	—
1211	C₂³	—	26	4	no	—
1212	C₂³	—	26	4	no	—
1213	C₂³	—	26	2	no	—
1214	C₂³	—	26	2	no	—
1215	C₂³	—	52	8	no	—
1216	C₂³	—	52	8	no	—
1217	C₂³	—	52	8	no	—
1218	C₂³	—	104	16	no	—
1219	C₂³	C₂⁴×D₁₃	1	4	yes	—
1220	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1221	Q₈	—	2	8	no	—
1222	Q₈	—	2	8	no	—
1223	Q₈	—	4	4	no	—
1224	Q₈	—	26	8	no	—
1225	Q₈	—	52	8	no	—
1226	D₄	—	2	8	no	—
1227	D₄	—	26	8	no	—
1228	D₄	—	26	8	no	—
1229	D₄	—	52	8	no	—
1230	D₄	—	52	8	no	—
1231	D₄	—	52	4	no	—
1232	D₄	—	52	8	no	—
1233	D₄	—	52	4	no	—
1234	D₄	—	52	8	no	—
1235	D₄	—	52	4	no	—
1236	D₄	—	52	8	no	—
1237	D₄	—	52	8	no	—
1238	D₄	—	52	8	no	—
1239	D₄	—	52	8	no	—
1240	D₄	—	52	8	no	—
1241	D₄	—	52	8	no	—
1242	D₄	—	52	8	no	—
1243	D₄	—	52	8	no	—
1244	C₂×C₄	—	2	4	no	—
1245	C₂×C₄	—	2	4	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	4	no	—
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	2	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	2	2	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	4	8	no	—
1254	C₂×C₄	—	13	2	no	—
1255	C₂×C₄	—	13	2	no	—
1256	C₂×C₄	—	13	2	no	—
1257	C₂×C₄	—	13	4	no	—
1258	C₂×C₄	—	13	4	no	—
1259	C₂×C₄	—	13	2	no	—
1260	C₂×C₄	—	13	2	no	—
1261	C₂×C₄	—	26	2	no	—
1262	C₂×C₄	—	26	2	no	—
1263	C₂×C₄	—	26	2	no	—
1264	C₂×C₄	—	26	4	no	—
1265	C₂×C₄	—	26	2	no	—
1266	C₂×C₄	—	26	4	no	—
1267	C₂×C₄	—	26	2	no	—
1268	C₂×C₄	—	26	8	no	—
1269	C₂×C₄	—	26	8	no	—
1270	C₂×C₄	—	26	8	no	—
1271	C₂×C₄	—	52	4	no	—
1272	C₂×C₄	—	52	8	no	—
1273	C₂×C₄	—	52	4	no	—
1274	C₂×C₄	—	52	8	no	—
1275	C₂×C₄	—	52	8	no	—
1276	C₂×C₄	—	52	8	no	—
1277	C₂×C₄	—	52	8	no	—
1278	C₂×C₄	—	52	8	no	—
1279	C₂×C₄	—	52	8	no	—
1280	C₂×C₄	#88256	1	4	yes	—
1281	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1282	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1283	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1284	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1285	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1286	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1287	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1288	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1289	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1290	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1291	C₂²	—	2	4	no	—
1292	C₂²	—	2	4	no	—
1293	C₂²	—	2	4	no	—
1294	C₂²	—	4	8	no	—
1295	C₂²	—	26	2	no	—
1296	C₂²	—	26	2	no	—
1297	C₂²	—	26	2	no	—
1298	C₂²	—	26	4	no	—
1299	C₂²	—	26	4	no	—
1300	C₂²	—	26	2	no	—
1301	C₂²	—	26	2	no	—
1302	C₂²	—	26	4	no	—
1303	C₂²	—	26	4	no	—
1304	C₂²	—	26	2	no	—
1305	C₂²	—	26	2	no	—
1306	C₂²	—	26	4	no	—
1307	C₂²	—	26	4	no	—
1308	C₂²	—	26	2	no	—
1309	C₂²	—	26	2	no	—
1310	C₂²	—	52	4	no	—
1311	C₂²	—	52	4	no	—
1312	C₂²	—	52	8	no	—
1313	C₂²	—	52	8	no	—
1314	C₂²	—	52	4	no	—
1315	C₂²	—	104	16	no	—
1316	C₂²	C₂×#88256	1	2	yes	—
1317	C₂²	#11719648	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	4	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	2	4	no	—
1324	C₄	—	2	2	no	—
1325	C₄	—	2	2	no	—
1326	C₄	—	2	2	no	—
1327	C₄	—	2	2	no	—
1328	C₄	—	2	2	no	—
1329	C₄	—	26	2	no	—
1330	C₄	—	26	2	no	—
1331	C₄	—	26	2	no	—
1332	C₄	—	26	4	no	—
1333	C₄	—	26	2	no	—
1334	C₄	—	26	4	no	—
1335	C₄	—	26	2	no	—
1336	C₄	C₂×#88256	1	4	yes	—
1337	C₂	—	4	4	no	—
1338	C₂	—	52	2	no	—
1339	C₂	—	52	4	no	—
1340	C₂	—	52	2	no	—
1341	C₂	—	52	2	no	—
1342	C₂	—	52	4	no	—
1343	C₂	#13129431	1	4	yes	direct product factor
1344	C₂	C₂²×#88256	1	1	yes	characteristic
1345	C₂	C₂×#11719648	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×#556	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#556	D₁₃
hypocenter	C₁₃	C₂×#3562
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#556

Complements

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

N	H ≅ G/N	type
1. #13129431	C₂	direct (N × H)
2. C₂×#11719352	C₂	semidirect
3. C₂×#11719416	C₂	semidirect
4. C₂×#11719290	C₂	semidirect
5. C₂×#11719414	C₂	semidirect
6. C₂×#11719232	C₂	semidirect
7. C₂×#11719282	C₂	semidirect
8. C₂×#11719281	C₂	semidirect
9. C₂×#11719382	C₂	semidirect
10. C₂×#11719431	C₂	semidirect
11. C₂×#11719259	C₂	semidirect
12. C₂×#11719381	C₂	semidirect
13. C₂×#11719288	C₂	semidirect
14. C₂×#11719240	C₂	semidirect
15. C₂×#11719267	C₂	semidirect
16. C₂×#11719412	C₂	semidirect
17. C₂×#11719349	C₂	semidirect
18. C₂×#11719409	C₂	semidirect
19. C₂×#11719429	C₂	semidirect
20. C₂×#11719379	C₂	semidirect
21. C₂×#11719373	C₂	semidirect
22. C₂×#11719285	C₂	semidirect
23. C₂×#11719285	C₂	semidirect
24. C₂×C₁₃×#556	C₂	semidirect
27. C₂²×#6131	C₂²	semidirect
28. C₂²×Q₈×D₁₃	C₂²	semidirect
31. C₁₃×#556	C₂²	semidirect
32. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
33. C₂×C₁₃×#126	C₂²	semidirect
34. C₂×C₁₃×#126	C₂²	semidirect
37. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
38. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
39. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
40. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
42. C₂×C₁₃×#117	C₂²	semidirect
45. C₂×#88201	C₂²	semidirect
47. C₂×#88200	C₂²	semidirect
48. C₂×#88200	C₂²	semidirect
49. C₂×#88198	C₂²	semidirect
53. C₂×#88184	C₂²	semidirect
54. C₂×#88183	C₂²	semidirect
56. #11719431	C₂²	semidirect
57. #11719429	C₂²	semidirect
58. #11719416	C₂²	semidirect
59. #11719414	C₂²	semidirect
60. #11719412	C₂²	semidirect
61. #11719409	C₂²	semidirect
62. #11719382	C₂²	semidirect
63. #11719381	C₂²	semidirect
64. #11719379	C₂²	semidirect
65. #11719373	C₂²	semidirect
66. #11719352	C₂²	semidirect
67. #11719349	C₂²	semidirect
68. #11719290	C₂²	semidirect
69. #11719288	C₂²	semidirect
70. #11719285	C₂²	semidirect
71. #11719285	C₂²	semidirect
72. #11719282	C₂²	semidirect
73. #11719281	C₂²	semidirect
74. #11719267	C₂²	semidirect
75. #11719259	C₂²	semidirect
76. #11719240	C₂²	semidirect
77. #11719232	C₂²	semidirect
80. C₂×#88152	C₂²	semidirect
81. C₂×#88152	C₂²	semidirect
83. C₂×#88151	C₂²	semidirect
84. C₂×#88150	C₂²	semidirect
85. C₂×#88150	C₂²	semidirect
90. C₂×#88149	C₂²	semidirect
91. C₂×#88149	C₂²	semidirect
92. C₂×#88149	C₂²	semidirect
95. C₂×#88148	C₂²	semidirect
96. C₂×#88148	C₂²	semidirect
97. C₂×#88148	C₂²	semidirect
98. C₂×#88148	C₂²	semidirect
99. C₂×#88148	C₂²	semidirect
100. C₂×#88148	C₂²	semidirect
101. C₂×#88148	C₂²	semidirect
102. C₂×#88147	C₂²	semidirect
103. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
104. C₂×#88144	C₂²	semidirect
105. C₂×#88144	C₂²	semidirect
106. C₂×#88143	C₂²	semidirect
108. C₂×#88139	C₂²	semidirect
112. C₂×#88138	C₂²	semidirect
113. C₂×#88138	C₂²	semidirect
114. C₂×#88138	C₂²	semidirect
115. C₂×#88138	C₂²	semidirect
117. C₂×#88137	C₂²	semidirect
122. C₂×#88135	C₂²	semidirect
123. C₂×#88135	C₂²	semidirect
124. C₂×#88135	C₂²	semidirect
126. C₂×#88132	C₂²	semidirect
130. C₂×#88129	C₂²	semidirect
132. C₂×#88128	C₂²	semidirect
136. C₂×C₄×D₅₂	C₂²	semidirect
137. C₂×C₄×D₅₂	C₂²	semidirect
138. C₂×C₄×D₅₂	C₂²	semidirect
139. C₂×C₄×D₅₂	C₂²	semidirect
140. C₂×C₄×D₅₂	C₂²	semidirect
142. C₂×#88126	C₂²	semidirect
143. C₂×#88126	C₂²	semidirect
144. C₂×C₄²×D₁₃	C₂²	semidirect
145. C₂×#88124	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
164. C₂×#6131	C₂³	semidirect
166. C₂×Q₈×D₁₃	C₂³	semidirect
196. C₁₃×C₄⋊Q₈	C₂³	semidirect
197. C₁₃×#126	C₂³	semidirect
198. C₁₃×#126	C₂³	semidirect
201. C₁₃×C₂²⋊Q₈	C₂³	semidirect
202. C₄×Q₈×C₁₃	C₂³	semidirect
203. C₄×Q₈×C₁₃	C₂³	semidirect
204. C₄×Q₈×C₁₃	C₂³	semidirect
206. C₁₃×#117	C₂³	semidirect
228. #88201	C₂³	semidirect
230. #88200	C₂³	semidirect
231. #88200	C₂³	semidirect
232. #88198	C₂³	semidirect
236. #88184	C₂³	semidirect
237. #88183	C₂³	semidirect
284. #88152	C₂³	semidirect
285. #88152	C₂³	semidirect
287. #88151	C₂³	semidirect
288. #88150	C₂³	semidirect
289. #88150	C₂³	semidirect
294. #88149	C₂³	semidirect
295. #88149	C₂³	semidirect
296. #88149	C₂³	semidirect
299. #88148	C₂³	semidirect
300. #88148	C₂³	semidirect
301. #88148	C₂³	semidirect
302. #88148	C₂³	semidirect
303. #88148	C₂³	semidirect
304. #88148	C₂³	semidirect
305. #88148	C₂³	semidirect
306. #88147	C₂³	semidirect
307. C₄⋊C₄×D₁₃	C₂³	semidirect
308. #88144	C₂³	semidirect
309. #88144	C₂³	semidirect
310. #88143	C₂³	semidirect
312. #88139	C₂³	semidirect
316. #88138	C₂³	semidirect
317. #88138	C₂³	semidirect
318. #88138	C₂³	semidirect
319. #88138	C₂³	semidirect
321. #88137	C₂³	semidirect
326. #88135	C₂³	semidirect
327. #88135	C₂³	semidirect
328. #88135	C₂³	semidirect
330. #88132	C₂³	semidirect
334. #88129	C₂³	semidirect
336. #88128	C₂³	semidirect
340. C₄×D₅₂	C₂³	semidirect
341. C₄×D₅₂	C₂³	semidirect
342. C₄×D₅₂	C₂³	semidirect
343. C₄×D₅₂	C₂³	semidirect
344. C₄×D₅₂	C₂³	semidirect
346. #88126	C₂³	semidirect
347. #88126	C₂³	semidirect
348. C₄²×D₁₃	C₂³	semidirect
349. #88124	C₂³	semidirect
350. C₄×Dic₂₆	C₂³	semidirect
523. C₂×#556	D₁₃	semidirect
651. #556	C₂×D₁₃	semidirect
670. C₂×C₄⋊Q₈	C₂×D₁₃	semidirect
681. C₂×#126	C₂×D₁₃	semidirect
682. C₂×#126	C₂×D₁₃	semidirect
717. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
740. C₂×C₄×Q₈	C₂×D₁₃	semidirect
741. C₂×C₄×Q₈	C₂×D₁₃	semidirect
742. C₂×C₄×Q₈	C₂×D₁₃	semidirect
759. C₂×#117	C₂×D₁₃	semidirect
860. C₄⋊Q₈	C₂²×D₁₃	semidirect
869. #126	C₂²×D₁₃	semidirect
870. #126	C₂²×D₁₃	semidirect
905. C₂²⋊Q₈	C₂²×D₁₃	semidirect
928. C₄×Q₈	C₂²×D₁₃	semidirect
929. C₄×Q₈	C₂²×D₁₃	semidirect
930. C₄×Q₈	C₂²×D₁₃	semidirect
947. #117	C₂²×D₁₃	semidirect
1015. C₂×C₁₃	#3562	semidirect
1191. C₁₃	C₂×#3562	semidirect
1343. C₂	#13129431	direct (N × H)

Maximal subgroups

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

subgroup	index
#13129431	2
C₂×#11719352	2
C₂×#11719416	2
C₂×#11719290	2
C₂×#11719414	2
C₂×#11719232	2
C₂×#11719282	2
C₂×#11719281	2
C₂×#11719382	2
C₂×#11719431	2
C₂×#11719259	2
C₂×#11719381	2
C₂×#11719288	2
C₂×#11719240	2
C₂×#11719267	2
C₂×#11719412	2
C₂×#11719349	2
C₂×#11719409	2
C₂×#11719429	2
C₂×#11719379	2
C₂×#11719373	2
C₂×#11719285	2
C₂×C₁₃×#556	2
C₂×#3562	13

Subgroups — C2×#13129431 #16770413

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13129431 #16770413