Subgroups — C₂×#13128779 #16770897

Order 3328.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128779	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719290	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719400	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719219	C₂	1	2	yes	maximal, complemented
5	C₂×#11719399	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719342	C₂	1	2	yes	maximal, complemented
7	C₂×#11719342	C₂	1	2	yes	maximal, complemented
8	C₂×#11719431	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11719259	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719259	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719335	C₂	1	2	yes	maximal, complemented
12	C₂×D₄×D₅₂	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719438	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719403	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719350	C₂	1	2	yes	maximal, complemented
16	C₂×#11719349	C₂	1	2	yes	maximal, complemented
17	C₂×#11719285	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#11719396	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719332	C₂	1	2	yes	maximal, complemented
20	C₂²×#88148	C₂	1	2	yes	maximal, complemented
21	C₂×#11719251	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719250	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#554	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#6131	C₂²	1	2	yes	complemented
26	C₂²×#6129	C₂²	1	1	yes	characteristic
27	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
28	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
29	C₂³×D₅₂	C₂²	1	2	yes	—
30	C₂³×C₄×D₁₃	C₂²	1	2	yes	complemented
31	C₁₃×#554	C₂²	1	16	yes	complemented
32	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
36	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
37	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
38	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
42	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
43	C₂×#88201	C₂²	1	2	yes	complemented
44	C₂×#88201	C₂²	1	2	yes	complemented
45	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88200	C₂²	1	2	yes	complemented
47	C₂×#88200	C₂²	1	2	yes	complemented
48	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
49	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
50	C₂×#88184	C₂²	1	2	yes	—
51	C₂×#88184	C₂²	1	2	yes	complemented
52	C₂×#88184	C₂²	1	2	yes	complemented
53	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
54	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
55	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
56	C₂²×#6103	C₂²	1	2	yes	complemented
57	C₂²×#6103	C₂²	1	2	yes	complemented
58	C₂²×#6103	C₂²	1	2	yes	complemented
59	C₂²×#6101	C₂²	1	2	yes	complemented
60	#11719438	C₂²	1	16	yes	complemented
61	#11719431	C₂²	1	16	yes	complemented
62	#11719403	C₂²	1	16	yes	complemented
63	#11719400	C₂²	1	16	yes	complemented
64	#11719399	C₂²	1	16	yes	complemented
65	#11719396	C₂²	1	16	yes	complemented
66	#11719350	C₂²	1	32	yes	complemented
67	#11719349	C₂²	1	32	yes	complemented
68	#11719342	C₂²	1	32	yes	complemented
69	#11719342	C₂²	1	32	yes	complemented
70	#11719335	C₂²	1	32	yes	complemented
71	#11719332	C₂²	1	32	yes	complemented
72	#11719290	C₂²	1	16	yes	complemented
73	#11719285	C₂²	1	16	yes	complemented
74	#11719259	C₂²	1	16	yes	complemented
75	#11719259	C₂²	1	16	yes	complemented
76	D₄×D₅₂	C₂²	1	16	yes	complemented
77	#11719251	C₂²	1	16	yes	complemented
78	#11719250	C₂²	1	16	yes	complemented
79	C₄×D₄×D₁₃	C₂²	1	16	yes	complemented
80	#11719219	C₂²	1	32	yes	complemented
81	C₂×#88152	C₂²	1	2	yes	complemented
82	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
83	C₂×#88152	C₂²	1	2	yes	complemented
84	C₂×#88152	C₂²	1	2	yes	complemented
85	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
86	C₂×#88152	C₂²	1	2	yes	complemented
87	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
88	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
89	C₂×#88149	C₂²	1	1	yes	characteristic
90	C₂×#88149	C₂²	1	1	yes	characteristic
91	C₂×#88149	C₂²	1	1	yes	characteristic
92	C₂×#88149	C₂²	1	2	yes	complemented
93	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
94	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
95	C₂×#88149	C₂²	1	2	yes	complemented
96	C₂×#88149	C₂²	1	2	yes	complemented
97	C₂×#88148	C₂²	1	2	yes	—
98	C₂×#88148	C₂²	1	1	yes	characteristic
99	C₂×#88148	C₂²	1	32	yes	complemented
100	C₂×#88148	C₂²	1	2	yes	complemented
101	C₂×#88148	C₂²	1	2	yes	complemented
102	C₂×#88148	C₂²	1	2	yes	complemented
103	C₂×#88148	C₂²	1	2	yes	complemented
104	C₂×#88148	C₂²	1	2	yes	complemented
105	C₂×#88148	C₂²	1	2	yes	complemented
106	C₂×#88148	C₂²	1	2	yes	complemented
107	C₂×#88148	C₂²	1	2	yes	complemented
108	C₂×#88148	C₂²	1	2	yes	complemented
109	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
110	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
111	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
112	C₂×#88147	C₂²	1	2	yes	complemented
113	C₂×#88147	C₂²	1	2	yes	complemented
114	C₂×#88147	C₂²	1	2	yes	complemented
115	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
116	C₂×#88146	C₂²	1	2	yes	complemented
117	C₂×#88146	C₂²	1	2	yes	complemented
118	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
120	C₂×#88144	C₂²	1	2	yes	complemented
121	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
122	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
123	C₂×#88140	C₂²	1	2	yes	complemented
124	C₂×#88140	C₂²	1	2	yes	complemented
125	C₂×#88136	C₂²	1	2	yes	—
126	C₂×#88136	C₂²	1	2	yes	—
127	C₂×#88136	C₂²	1	2	yes	complemented
128	C₂×#88136	C₂²	1	2	yes	complemented
129	C₂×#88135	C₂²	1	2	yes	complemented
130	C₂×#88135	C₂²	1	2	yes	complemented
131	C₂×#88135	C₂²	1	2	yes	complemented
132	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
134	C₂×#88131	C₂²	1	2	yes	complemented
135	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
136	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
137	C₂×#88128	C₂²	1	1	yes	characteristic
138	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
139	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
140	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
143	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
144	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₃	C₂³	1	2	yes	—
148	C₂⁴×D₁₃	C₂³	1	2	yes	—
149	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
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	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
154	C₂³×C₄×C₁₃	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	C₂³×Dic₁₃	C₂³	1	2	yes	—
160	C₂×#6131	—	4	8	no	—
161	C₂×#6131	C₂³	1	16	yes	complemented
162	C₂×#6129	—	2	8	no	—
163	C₂×#6129	C₂³	1	8	yes	—
164	C₂×D₄×D₁₃	—	2	8	no	—
165	C₂×D₄×D₁₃	—	2	8	no	—
166	C₂×D₄×D₁₃	C₂³	1	8	yes	—
167	C₂×D₄×D₁₃	C₂³	1	8	yes	—
168	C₂²×D₅₂	—	4	8	no	—
169	C₂²×D₅₂	C₂³	1	1	yes	characteristic
170	C₂²×D₅₂	C₂³	1	1	yes	characteristic
171	C₂²×D₅₂	C₂³	1	1	yes	characteristic
172	C₂²×D₅₂	C₂³	1	1	yes	characteristic
173	C₂²×D₅₂	C₂³	1	2	yes	—
174	C₂²×D₅₂	C₂³	1	1	yes	characteristic
175	C₂²×D₅₂	C₂³	1	2	yes	—
176	C₂²×D₅₂	C₂³	1	2	yes	—
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	16	yes	—
181	C₂²×C₄×D₁₃	—	4	8	no	—
182	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
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	2	yes	—
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	16	yes	complemented
194	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
195	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
196	C₁₃×#125	C₂³	1	8	yes	complemented
197	C₁₃×#125	C₂³	1	8	yes	complemented
198	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
199	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
200	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
201	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
202	C₄×D₄×C₁₃	C₂³	1	8	yes	—
203	C₄×D₄×C₁₃	C₂³	1	8	yes	—
204	C₄×D₄×C₁₃	C₂³	1	8	yes	—
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
207	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
216	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	complemented
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	1	yes	characteristic
222	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
224	#88201	C₂³	1	16	yes	complemented
225	#88201	C₂³	1	8	yes	complemented
226	#88201	C₂³	1	16	yes	complemented
227	#88200	C₂³	1	16	yes	complemented
228	#88200	C₂³	1	16	yes	complemented
229	#88200	C₂³	1	8	yes	complemented
230	D₄×Dic₁₃	C₂³	1	8	yes	—
231	#88184	C₂³	1	16	yes	—
232	#88184	C₂³	1	16	yes	complemented
233	#88184	C₂³	1	16	yes	complemented
234	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
235	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
236	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
237	C₂×#6103	C₂³	1	1	yes	characteristic
238	C₂×#6103	C₂³	1	1	yes	characteristic
239	C₂×#6103	C₂³	1	1	yes	characteristic
240	C₂×#6103	C₂³	1	1	yes	characteristic
241	C₂×#6103	C₂³	1	1	yes	characteristic
242	C₂×#6103	C₂³	1	1	yes	characteristic
243	C₂×#6103	C₂³	1	2	yes	—
244	C₂×#6103	C₂³	1	1	yes	characteristic
245	C₂×#6103	C₂³	1	1	yes	characteristic
246	C₂×#6103	C₂³	1	1	yes	characteristic
247	C₂×#6103	C₂³	1	2	yes	—
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	2	yes	—
252	C₂×#6103	C₂³	1	2	yes	—
253	C₂×#6103	C₂³	1	2	yes	—
254	C₂×#6103	C₂³	1	2	yes	—
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	2	yes	—
262	C₂×#6103	C₂³	1	16	yes	complemented
263	C₂×#6103	C₂³	1	16	yes	complemented
264	C₂×#6103	C₂³	1	16	yes	complemented
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×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
270	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
271	C₂×#6101	C₂³	1	2	yes	—
272	C₂×#6101	C₂³	1	1	yes	characteristic
273	C₂×#6101	C₂³	1	1	yes	characteristic
274	C₂×#6101	C₂³	1	1	yes	characteristic
275	C₂×#6101	C₂³	1	1	yes	characteristic
276	C₂×#6101	C₂³	1	2	yes	—
277	C₂×#6101	C₂³	1	2	yes	—
278	C₂×#6101	C₂³	1	2	yes	—
279	C₂×#6101	C₂³	1	16	yes	complemented
280	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
281	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
285	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
286	#88152	C₂³	1	16	yes	complemented
287	#88152	C₂³	1	8	yes	complemented
288	#88152	C₂³	1	8	yes	complemented
289	#88152	C₂³	1	16	yes	complemented
290	#88152	C₂³	1	16	yes	complemented
291	#88152	C₂³	1	16	yes	complemented
292	#88151	C₂³	1	8	yes	complemented
293	#88151	C₂³	1	8	yes	complemented
294	#88149	C₂³	1	8	yes	—
295	#88149	C₂³	1	8	yes	—
296	#88149	C₂³	1	8	yes	—
297	#88149	C₂³	1	8	yes	complemented
298	#88149	C₂³	1	16	yes	complemented
299	#88149	C₂³	1	8	yes	complemented
300	#88149	C₂³	1	16	yes	complemented
301	#88149	C₂³	1	16	yes	complemented
302	#88148	C₂³	1	8	yes	—
303	#88148	C₂³	1	16	yes	—
304	#88148	C₂³	1	16	yes	complemented
305	#88148	C₂³	1	16	yes	complemented
306	#88148	C₂³	1	16	yes	complemented
307	#88148	C₂³	1	16	yes	complemented
308	#88148	C₂³	1	16	yes	complemented
309	#88148	C₂³	1	16	yes	complemented
310	#88148	C₂³	1	16	yes	complemented
311	#88148	C₂³	1	8	yes	complemented
312	#88148	C₂³	1	16	yes	complemented
313	#88148	C₂³	1	16	yes	complemented
314	#88147	C₂³	1	8	yes	complemented
315	#88147	C₂³	1	16	yes	complemented
316	#88147	C₂³	1	8	yes	complemented
317	#88147	C₂³	1	16	yes	complemented
318	#88147	C₂³	1	16	yes	complemented
319	#88146	C₂³	1	16	yes	complemented
320	#88146	C₂³	1	8	yes	complemented
321	#88146	C₂³	1	16	yes	complemented
322	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
323	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
324	#88144	C₂³	1	16	yes	complemented
325	#88144	C₂³	1	8	yes	complemented
326	#88141	C₂³	1	8	yes	complemented
327	#88140	C₂³	1	16	yes	complemented
328	#88140	C₂³	1	16	yes	complemented
329	#88136	C₂³	1	16	yes	—
330	#88136	C₂³	1	16	yes	—
331	#88136	C₂³	1	16	yes	complemented
332	#88136	C₂³	1	16	yes	complemented
333	#88135	C₂³	1	16	yes	complemented
334	#88135	C₂³	1	16	yes	complemented
335	#88135	C₂³	1	16	yes	complemented
336	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
337	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
338	#88131	C₂³	1	16	yes	complemented
339	#88129	C₂³	1	8	yes	complemented
340	#88129	C₂³	1	8	yes	complemented
341	#88128	C₂³	1	8	yes	—
342	C₄×D₅₂	C₂³	1	8	yes	—
343	C₄×D₅₂	C₂³	1	8	yes	complemented
344	C₄×D₅₂	C₂³	1	8	yes	complemented
345	C₄×D₅₂	C₂³	1	8	yes	complemented
346	C₄×D₅₂	C₂³	1	8	yes	complemented
347	#88126	C₂³	1	8	yes	complemented
348	#88126	C₂³	1	8	yes	complemented
349	C₄²×D₁₃	C₂³	1	8	yes	complemented
350	C₄×Dic₂₆	C₂³	1	8	yes	complemented
351	C₂×#3513	—	13	1	no	maximal, Sylow
352	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
353	C₂³×D₁₃	—	2	8	no	—
354	C₂³×D₁₃	—	2	8	no	—
355	C₂³×D₁₃	—	2	8	no	—
356	C₂³×D₁₃	—	4	4	no	—
357	C₂³×D₁₃	—	4	4	no	—
358	C₂³×D₁₃	—	4	4	no	—
359	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
360	C₂³×D₁₃	C₂⁴	1	2	yes	—
361	C₂³×D₁₃	C₂⁴	1	2	yes	—
362	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
363	C₂³×D₁₃	C₂⁴	1	8	yes	—
364	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
365	C₂³×D₁₃	C₂⁴	1	8	yes	—
366	C₂×Q₈×C₁₃	—	4	4	no	—
367	C₂×Q₈×C₁₃	—	4	2	no	—
368	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
369	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
370	C₂×D₄×C₁₃	#41	1	8	yes	complemented
371	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
372	C₂²×C₄×C₁₃	—	4	4	no	—
373	C₂²×C₄×C₁₃	—	4	4	no	—
374	C₂²×C₄×C₁₃	—	4	4	no	—
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
383	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
385	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
386	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂×C₂²⋊D₁₃	—	2	8	no	—
389	C₂×C₂²⋊D₁₃	—	2	8	no	—
390	C₂×C₂²⋊D₁₃	—	2	8	no	—
391	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
392	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
393	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
394	C₂²×Dic₁₃	—	2	8	no	—
395	C₂²×Dic₁₃	—	4	4	no	—
396	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
397	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
400	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
403	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
405	#6131	—	4	32	no	—
406	#6129	—	2	32	no	—
407	D₄×D₁₃	—	2	32	no	—
408	D₄×D₁₃	—	2	32	no	—
409	C₂×D₅₂	—	2	4	no	—
410	C₂×D₅₂	—	2	8	no	—
411	C₂×D₅₂	—	2	4	no	—
412	C₂×D₅₂	—	2	4	no	—
413	C₂×D₅₂	—	2	4	no	—
414	C₂×D₅₂	—	4	32	no	—
415	C₂×D₅₂	—	4	4	no	—
416	C₂×D₅₂	—	4	4	no	—
417	C₂×D₅₂	—	4	4	no	—
418	C₂×D₅₂	—	4	2	no	—
419	C₂×D₅₂	—	4	4	no	—
420	C₂×D₅₂	—	4	4	no	—
421	C₂×D₅₂	C₂⁴	1	4	yes	—
422	C₂×D₅₂	C₂⁴	1	4	yes	—
423	C₂×D₅₂	C₂⁴	1	4	yes	—
424	C₂×D₅₂	C₂⁴	1	4	yes	—
425	C₂×D₅₂	C₂⁴	1	8	yes	—
426	C₂×D₅₂	C₂⁴	1	4	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×D₅₂	C₂⁴	1	8	yes	—
432	C₂×C₄×D₁₃	—	2	4	no	—
433	C₂×C₄×D₁₃	—	2	8	no	—
434	C₂×C₄×D₁₃	—	2	4	no	—
435	C₂×C₄×D₁₃	—	2	4	no	—
436	C₂×C₄×D₁₃	—	2	4	no	—
437	C₂×C₄×D₁₃	—	4	32	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	2	no	—
442	C₂×C₄×D₁₃	—	4	4	no	—
443	C₂×C₄×D₁₃	—	4	4	no	—
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	4	yes	—
448	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
449	C₂×C₄×D₁₃	C₂⁴	1	4	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×C₄×D₁₃	C₂⁴	1	8	yes	—
454	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
455	C₂×Dic₂₆	—	2	4	no	—
456	C₂×Dic₂₆	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	4	yes	—
460	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
461	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
462	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
463	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
464	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
465	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
466	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
467	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
468	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
469	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
470	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
471	C₄²×C₁₃	C₂⁴	1	4	yes	—
472	C₄²×C₁₃	C₂⁴	1	4	yes	—
473	C₄²×C₁₃	C₂⁴	1	4	yes	—
474	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
475	#6103	C₂⁴	1	4	yes	—
476	#6103	C₂⁴	1	4	yes	—
477	#6103	C₂⁴	1	4	yes	—
478	#6103	C₂⁴	1	4	yes	—
479	#6103	C₂⁴	1	4	yes	—
480	#6103	C₂⁴	1	4	yes	—
481	#6103	C₂⁴	1	8	yes	—
482	#6103	C₂⁴	1	4	yes	—
483	#6103	C₂⁴	1	4	yes	—
484	#6103	C₂⁴	1	4	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	#6103	C₂⁴	1	8	yes	—
492	#6103	C₂⁴	1	8	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	#6103	C₂⁴	1	8	yes	—
500	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
501	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
502	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
503	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
504	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
505	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
506	#6101	C₂⁴	1	8	yes	—
507	#6101	C₂⁴	1	4	yes	—
508	#6101	C₂⁴	1	4	yes	—
509	#6101	C₂⁴	1	4	yes	—
510	#6101	C₂⁴	1	4	yes	—
511	#6101	C₂⁴	1	8	yes	—
512	#6101	C₂⁴	1	8	yes	—
513	#6101	C₂⁴	1	8	yes	—
514	C₄×Dic₁₃	C₂⁴	1	8	yes	—
515	C₄×Dic₁₃	C₂⁴	1	4	yes	—
516	C₄×Dic₁₃	C₂⁴	1	4	yes	—
517	C₄×Dic₁₃	C₂⁴	1	4	yes	—
518	C₄×Dic₁₃	C₂⁴	1	8	yes	—
519	C₄×Dic₁₃	C₂⁴	1	8	yes	—
520	#3513	—	13	32	no	—
521	C₂×#559	—	13	1	no	—
522	C₂×#554	D₁₃	1	1	yes	characteristic, complemented
523	C₂×#553	—	13	1	no	—
524	C₂×#553	—	13	2	no	—
525	C₂×#552	—	13	1	no	—
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×#546	—	13	1	no	—
531	C₂×#546	—	13	1	no	—
532	C₂×D₄²	—	13	1	no	—
533	C₂×#542	—	13	1	no	—
534	C₂×#540	—	13	1	no	—
535	C₂×#539	—	13	2	no	—
536	C₂×#538	—	13	2	no	—
537	C₂×#529	—	13	1	no	—
538	C₂×#529	—	13	1	no	—
539	C₂×#525	—	13	2	no	—
540	C₂²×#123	—	13	2	no	—
541	C₂×#520	—	13	1	no	—
542	C₂×#518	—	13	1	no	—
543	C₂²×C₄×D₄	—	13	1	no	—
544	C₂³×C₁₃	—	2	4	no	—
545	C₂³×C₁₃	—	2	4	no	—
546	C₂³×C₁₃	C₂×#41	1	8	yes	—
547	C₂³×C₁₃	C₂⁵	1	4	yes	—
548	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
549	C₂²×D₁₃	—	2	2	no	—
550	C₂²×D₁₃	—	2	2	no	—
551	C₂²×D₁₃	—	2	2	no	—
552	C₂²×D₁₃	—	2	2	no	—
553	C₂²×D₁₃	—	2	4	no	—
554	C₂²×D₁₃	—	2	4	no	—
555	C₂²×D₁₃	—	2	16	no	—
556	C₂²×D₁₃	—	2	2	no	—
557	C₂²×D₁₃	—	2	4	no	—
558	C₂²×D₁₃	—	2	4	no	—
559	C₂²×D₁₃	—	2	2	no	—
560	C₂²×D₁₃	—	2	4	no	—
561	C₂²×D₁₃	—	2	2	no	—
562	C₂²×D₁₃	—	2	4	no	—
563	C₂²×D₁₃	—	2	2	no	—
564	C₂²×D₁₃	—	2	16	no	—
565	C₂²×D₁₃	—	2	16	no	—
566	C₂²×D₁₃	—	4	8	no	—
567	C₂²×D₁₃	—	4	8	no	—
568	C₂²×D₁₃	—	4	8	no	—
569	C₂²×D₁₃	—	4	32	no	—
570	C₂²×D₁₃	—	8	16	no	—
571	C₂²×D₁₃	H(5,𝔽₂)	1	4	yes	—
572	C₂²×D₁₃	C₂⁵	1	2	yes	—
573	C₂²×D₁₃	C₂⁵	1	4	yes	—
574	C₂²×D₁₃	C₂⁵	1	4	yes	—
575	C₂²×D₁₃	C₂⁵	1	2	yes	—
576	C₂²×D₁₃	C₂⁵	1	2	yes	—
577	Q₈×C₁₃	—	4	8	no	—
578	Q₈×C₁₃	—	4	4	no	—
579	D₄×C₁₃	C₂×#41	1	16	yes	complemented
580	C₂×C₄×C₁₃	—	2	2	no	—
581	C₂×C₄×C₁₃	—	2	4	no	—
582	C₂×C₄×C₁₃	—	2	2	no	—
583	C₂×C₄×C₁₃	—	2	4	no	—
584	C₂×C₄×C₁₃	—	2	2	no	—
585	C₂×C₄×C₁₃	—	2	4	no	—
586	C₂×C₄×C₁₃	—	2	2	no	—
587	C₂×C₄×C₁₃	—	2	2	no	—
588	C₂×C₄×C₁₃	—	2	2	no	—
589	C₂×C₄×C₁₃	—	4	8	no	—
590	C₂×C₄×C₁₃	—	4	8	no	—
591	C₂×C₄×C₁₃	—	4	8	no	—
592	C₂×C₄×C₁₃	C₂×#41	1	4	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	4	yes	—
597	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
598	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
599	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
600	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
601	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
602	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
603	C₂²⋊D₁₃	—	2	16	no	—
604	C₂²⋊D₁₃	—	2	16	no	—
605	C₂²⋊D₁₃	—	2	16	no	—
606	C₂×Dic₁₃	—	2	4	no	—
607	C₂×Dic₁₃	—	2	2	no	—
608	C₂×Dic₁₃	—	2	2	no	—
609	C₂×Dic₁₃	—	2	2	no	—
610	C₂×Dic₁₃	—	2	16	no	—
611	C₂×Dic₁₃	—	2	4	no	—
612	C₂×Dic₁₃	—	2	2	no	—
613	C₂×Dic₁₃	—	2	2	no	—
614	C₂×Dic₁₃	—	4	8	no	—
615	C₂×Dic₁₃	C₂⁵	1	2	yes	—
616	C₂×Dic₁₃	C₂⁵	1	2	yes	—
617	C₂×Dic₁₃	C₂⁵	1	4	yes	—
618	C₂×Dic₁₃	C₂⁵	1	2	yes	—
619	C₂×Dic₁₃	C₂⁵	1	2	yes	—
620	C₂×Dic₁₃	C₂⁵	1	4	yes	—
621	C₂×Dic₁₃	C₂⁵	1	2	yes	—
622	D₅₂	—	2	8	no	—
623	D₅₂	—	2	16	no	—
624	D₅₂	—	2	8	no	—
625	D₅₂	—	2	8	no	—
626	D₅₂	—	2	8	no	—
627	D₅₂	—	4	8	no	—
628	D₅₂	—	4	8	no	—
629	D₅₂	—	4	8	no	—
630	D₅₂	—	4	4	no	—
631	D₅₂	—	4	8	no	—
632	D₅₂	—	4	8	no	—
633	C₄×D₁₃	—	2	8	no	—
634	C₄×D₁₃	—	2	16	no	—
635	C₄×D₁₃	—	2	8	no	—
636	C₄×D₁₃	—	2	8	no	—
637	C₄×D₁₃	—	2	8	no	—
638	C₄×D₁₃	—	4	8	no	—
639	C₄×D₁₃	—	4	8	no	—
640	C₄×D₁₃	—	4	8	no	—
641	C₄×D₁₃	—	4	4	no	—
642	C₄×D₁₃	—	4	8	no	—
643	C₄×D₁₃	—	4	8	no	—
644	Dic₂₆	—	2	8	no	—
645	C₂²×#41	—	13	2	no	—
646	C₂²×#41	—	13	1	no	—
647	C₂³×D₄	—	13	1	no	—
648	C₂³×D₄	—	13	1	no	—
649	C₂³×D₄	—	13	2	no	—
650	C₂⁴×C₄	—	13	2	no	—
651	#559	—	13	16	no	—
652	#554	C₂×D₁₃	1	16	yes	complemented
653	#553	—	13	16	no	—
654	#553	—	13	32	no	—
655	#552	—	13	16	no	—
656	#551	—	13	32	no	—
657	#551	—	13	32	no	—
658	#547	—	13	16	no	—
659	#546	—	13	32	no	—
660	#546	—	13	16	no	—
661	#546	—	13	16	no	—
662	D₄²	—	13	16	no	—
663	#542	—	13	16	no	—
664	#540	—	13	16	no	—
665	#539	—	13	32	no	—
666	#538	—	13	32	no	—
667	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
668	C₂×#127	—	13	1	no	—
669	#529	—	13	16	no	—
670	#529	—	13	16	no	—
671	C₂×#126	—	13	2	no	—
672	C₂×#126	—	13	1	no	—
673	C₂×#126	—	13	1	no	—
674	C₂×#126	—	13	2	no	—
675	C₂×#126	—	13	2	no	—
676	C₂×#126	—	13	2	no	—
677	C₂×#125	—	13	1	no	—
678	C₂×#125	—	13	2	no	—
679	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
680	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
681	C₂×#124	—	13	1	no	—
682	C₂×#124	—	13	2	no	—
683	C₂×#124	—	13	2	no	—
684	C₂×#124	—	13	1	no	—
685	C₂×#124	—	13	1	no	—
686	#525	—	13	32	no	—
687	C₂×#123	—	13	1	no	—
688	C₂×#123	—	13	2	no	—
689	C₂×#123	—	13	2	no	—
690	C₂×#123	—	13	2	no	—
691	C₂×#123	—	13	2	no	—
692	C₂×#123	—	13	2	no	—
693	C₂×#123	—	13	2	no	—
694	C₂×#123	—	13	2	no	—
695	C₂×#123	—	13	1	no	—
696	C₂×#123	—	13	2	no	—
697	C₂×#123	—	13	2	no	—
698	C₂×#123	—	13	2	no	—
699	C₂×#123	—	13	32	no	—
700	C₂×#123	—	13	2	no	—
701	C₂×#123	—	13	2	no	—
702	C₂×C₂²⋊Q₈	—	13	2	no	—
703	C₂×C₂²⋊Q₈	—	13	1	no	—
704	C₂×C₂²⋊Q₈	—	13	2	no	—
705	C₂×C₂²⋊Q₈	—	13	1	no	—
706	C₂×C₂²⋊Q₈	—	13	1	no	—
707	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	complemented
708	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	complemented
709	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	complemented
710	C₂×#121	—	13	2	no	—
711	C₂×#121	—	13	2	no	—
712	C₂×#121	—	13	2	no	—
713	C₂×#121	—	13	1	no	—
714	C₂×#121	—	13	1	no	—
715	C₂×#121	—	13	1	no	—
716	C₂×#121	—	13	2	no	—
717	C₂×#121	—	13	2	no	—
718	C₂×#121	—	13	1	no	—
719	C₂×#121	—	13	2	no	—
720	C₂×#121	—	13	1	no	—
721	C₂×#120	—	13	2	no	—
722	C₂×#120	—	13	2	no	—
723	C₂×#120	—	13	2	no	—
724	C₂×#120	—	13	2	no	—
725	#520	—	13	16	no	—
726	#518	—	13	16	no	—
727	C₂×C₄×Q₈	—	13	1	no	—
728	C₂×C₄×Q₈	—	13	1	no	—
729	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
730	C₂×C₄×D₄	—	13	1	no	—
731	C₂×C₄×D₄	—	13	2	no	—
732	C₂×C₄×D₄	—	13	2	no	—
733	C₂×C₄×D₄	—	13	2	no	—
734	C₂×C₄×D₄	—	13	16	no	—
735	C₂×C₄×D₄	—	13	1	no	—
736	C₂×C₄×D₄	—	13	1	no	—
737	C₂×C₄×D₄	—	13	2	no	—
738	C₂×C₄×D₄	—	13	2	no	—
739	C₂×C₄×D₄	—	13	2	no	—
740	C₂×C₄×D₄	—	13	2	no	—
741	C₂×C₄×D₄	—	13	2	no	—
742	C₂×C₄×D₄	—	13	2	no	—
743	C₂×C₄×D₄	—	13	1	no	—
744	C₂×C₄×D₄	—	13	1	no	—
745	C₂×C₄×D₄	—	13	1	no	—
746	C₂×C₄×D₄	—	13	1	no	—
747	C₂×C₄×D₄	—	13	1	no	—
748	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
749	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
750	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
751	C₂×#117	—	13	1	no	—
752	C₂×#117	—	13	2	no	—
753	C₂×#117	—	13	2	no	—
754	C₂×#117	—	13	2	no	—
755	C₂×#117	—	13	1	no	—
756	C₂×#117	—	13	1	no	—
757	C₂²×C₄⋊C₄	—	13	2	no	—
758	C₂²×C₄⋊C₄	—	13	1	no	—
759	C₂²×C₄⋊C₄	—	13	1	no	—
760	C₂²×C₄⋊C₄	C₂×D₁₃	1	2	yes	complemented
761	C₂²×C₂²⋊C₄	—	13	2	no	—
762	C₂²×C₂²⋊C₄	—	13	2	no	—
763	C₂²×C₂²⋊C₄	—	13	2	no	—
764	C₂²×C₂²⋊C₄	—	13	2	no	—
765	C₂²×C₂²⋊C₄	—	13	2	no	—
766	C₂²×C₄²	—	13	1	no	—
767	C₂²×C₁₃	—	2	4	no	—
768	C₂²×C₁₃	—	2	4	no	—
769	C₂²×C₁₃	—	2	16	no	—
770	C₂²×C₁₃	C₂²×#41	1	8	yes	—
771	C₂²×C₁₃	C₂²×#41	1	2	yes	—
772	C₂²×C₁₃	C₂×H(5,𝔽₂)	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	8	no	—
778	C₂×D₁₃	—	2	2	no	—
779	C₂×D₁₃	—	2	2	no	—
780	C₂×D₁₃	—	2	4	no	—
781	C₂×D₁₃	—	2	4	no	—
782	C₂×D₁₃	—	2	2	no	—
783	C₂×D₁₃	—	2	4	no	—
784	C₂×D₁₃	—	2	4	no	—
785	C₂×D₁₃	—	2	2	no	—
786	C₂×D₁₃	—	2	4	no	—
787	C₂×D₁₃	—	2	2	no	—
788	C₂×D₁₃	—	2	4	no	—
789	C₂×D₁₃	—	2	2	no	—
790	C₂×D₁₃	—	4	32	no	—
791	C₂×D₁₃	—	4	4	no	—
792	C₂×D₁₃	—	4	8	no	—
793	C₂×D₁₃	—	4	8	no	—
794	C₂×D₁₃	—	4	4	no	—
795	C₂×D₁₃	—	8	16	no	—
796	C₂×D₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
797	C₄×C₁₃	—	2	2	no	—
798	C₄×C₁₃	—	2	4	no	—
799	C₄×C₁₃	—	2	2	no	—
800	C₄×C₁₃	—	2	4	no	—
801	C₄×C₁₃	—	2	2	no	—
802	C₄×C₁₃	—	2	4	no	—
803	C₄×C₁₃	—	2	2	no	—
804	C₄×C₁₃	—	2	2	no	—
805	C₄×C₁₃	—	2	2	no	—
806	C₄×C₁₃	C₂²×#41	1	4	yes	—
807	Dic₁₃	—	2	4	no	—
808	Dic₁₃	—	2	2	no	—
809	Dic₁₃	—	2	2	no	—
810	Dic₁₃	—	2	2	no	—
811	Dic₁₃	—	2	4	no	—
812	Dic₁₃	—	2	2	no	—
813	Dic₁₃	—	2	2	no	—
814	C₂⁵	—	13	2	no	—
815	C₂⁵	—	13	2	no	—
816	C₂×#41	—	13	16	no	—
817	C₂×#41	—	13	8	no	—
818	C₂×#41	—	26	8	no	—
819	C₂×#41	—	52	8	no	—
820	C₂²×Q₈	—	13	1	no	—
821	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
822	C₂²×Q₈	C₂²×D₁₃	1	2	yes	—
823	C₂²×D₄	—	13	2	no	—
824	C₂²×D₄	—	13	2	no	—
825	C₂²×D₄	—	13	2	no	—
826	C₂²×D₄	—	13	8	no	—
827	C₂²×D₄	—	13	8	no	—
828	C₂²×D₄	—	13	1	no	—
829	C₂²×D₄	—	13	1	no	—
830	C₂²×D₄	—	13	1	no	—
831	C₂²×D₄	—	13	2	no	—
832	C₂²×D₄	—	13	1	no	—
833	C₂²×D₄	—	13	1	no	—
834	C₂²×D₄	—	13	2	no	—
835	C₂²×D₄	—	13	2	no	—
836	C₂²×D₄	—	13	2	no	—
837	C₂²×D₄	—	13	2	no	—
838	C₂²×D₄	—	13	2	no	—
839	C₂²×D₄	—	13	16	no	—
840	C₂²×D₄	—	26	8	no	—
841	C₂²×D₄	—	26	8	no	—
842	C₂²×D₄	—	52	8	no	—
843	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
844	C₂³×C₄	—	13	2	no	—
845	C₂³×C₄	—	13	2	no	—
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	1	no	—
851	C₂³×C₄	—	13	1	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	2	no	—
857	C₂³×C₄	—	13	16	no	—
858	C₂³×C₄	—	52	8	no	—
859	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
860	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
861	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
862	C₄⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
863	#127	—	13	8	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	—	13	16	no	—
870	#125	—	13	8	no	—
871	#125	—	13	16	no	—
872	#125	C₂²×D₁₃	1	8	yes	complemented
873	#125	C₂²×D₁₃	1	8	yes	complemented
874	#124	—	13	8	no	—
875	#124	—	13	16	no	—
876	#124	—	13	16	no	—
877	#124	—	13	8	no	—
878	#124	—	13	8	no	—
879	#123	—	13	8	no	—
880	#123	—	13	16	no	—
881	#123	—	13	16	no	—
882	#123	—	13	16	no	—
883	#123	—	13	16	no	—
884	#123	—	13	16	no	—
885	#123	—	13	16	no	—
886	#123	—	13	16	no	—
887	#123	—	13	8	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	C₂²⋊Q₈	—	13	16	no	—
894	C₂²⋊Q₈	—	13	8	no	—
895	C₂²⋊Q₈	—	13	16	no	—
896	C₂²⋊Q₈	—	13	8	no	—
897	C₂²⋊Q₈	—	13	8	no	—
898	C₂²⋊Q₈	C₂²×D₁₃	1	16	yes	complemented
899	C₂²⋊Q₈	C₂²×D₁₃	1	16	yes	complemented
900	C₂²⋊Q₈	C₂²×D₁₃	1	16	yes	complemented
901	#121	—	13	16	no	—
902	#121	—	13	16	no	—
903	#121	—	13	16	no	—
904	#121	—	13	16	no	—
905	#121	—	13	8	no	—
906	#121	—	13	8	no	—
907	#121	—	13	16	no	—
908	#121	—	13	8	no	—
909	#121	—	13	16	no	—
910	#121	—	13	8	no	—
911	#121	—	13	8	no	—
912	#120	—	13	16	no	—
913	#120	—	13	16	no	—
914	#120	—	13	16	no	—
915	#120	—	13	16	no	—
916	C₄×Q₈	—	13	8	no	—
917	C₄×Q₈	—	13	8	no	—
918	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
919	C₄×D₄	—	13	8	no	—
920	C₄×D₄	—	13	16	no	—
921	C₄×D₄	—	13	16	no	—
922	C₄×D₄	—	13	16	no	—
923	C₄×D₄	—	13	8	no	—
924	C₄×D₄	—	13	8	no	—
925	C₄×D₄	—	13	16	no	—
926	C₄×D₄	—	13	16	no	—
927	C₄×D₄	—	13	16	no	—
928	C₄×D₄	—	13	16	no	—
929	C₄×D₄	—	13	16	no	—
930	C₄×D₄	—	13	16	no	—
931	C₄×D₄	—	13	8	no	—
932	C₄×D₄	—	13	8	no	—
933	C₄×D₄	—	13	8	no	—
934	C₄×D₄	—	13	8	no	—
935	C₄×D₄	—	13	8	no	—
936	C₄×D₄	C₂²×D₁₃	1	8	yes	—
937	C₄×D₄	C₂²×D₁₃	1	8	yes	—
938	C₄×D₄	C₂²×D₁₃	1	8	yes	—
939	#117	—	13	8	no	—
940	#117	—	13	16	no	—
941	#117	—	13	16	no	—
942	#117	—	13	16	no	—
943	#117	—	13	8	no	—
944	#117	—	13	8	no	—
945	C₂×C₄⋊C₄	—	13	1	no	—
946	C₂×C₄⋊C₄	—	13	2	no	—
947	C₂×C₄⋊C₄	—	13	1	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	16	no	—
952	C₂×C₄⋊C₄	—	13	1	no	—
953	C₂×C₄⋊C₄	—	13	1	no	—
954	C₂×C₄⋊C₄	—	13	1	no	—
955	C₂×C₄⋊C₄	—	13	2	no	—
956	C₂×C₄⋊C₄	—	13	2	no	—
957	C₂×C₄⋊C₄	—	13	1	no	—
958	C₂×C₄⋊C₄	—	13	1	no	—
959	C₂×C₄⋊C₄	—	13	1	no	—
960	C₂×C₄⋊C₄	—	13	8	no	—
961	C₂×C₄⋊C₄	—	13	8	no	—
962	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
966	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
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	2	yes	—
970	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
972	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂²×D₁₃	1	16	yes	complemented
974	C₂×C₂²⋊C₄	—	13	2	no	—
975	C₂×C₂²⋊C₄	—	13	2	no	—
976	C₂×C₂²⋊C₄	—	13	1	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	16	no	—
987	C₂×C₂²⋊C₄	—	13	2	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	16	no	—
992	C₂×C₂²⋊C₄	—	13	16	no	—
993	C₂×C₂²⋊C₄	—	13	1	no	—
994	C₂×C₂²⋊C₄	—	13	1	no	—
995	C₂×C₂²⋊C₄	—	13	1	no	—
996	C₂×C₂²⋊C₄	—	13	2	no	—
997	C₂×C₂²⋊C₄	—	13	1	no	—
998	C₂×C₂²⋊C₄	—	13	1	no	—
999	C₂×C₂²⋊C₄	—	13	2	no	—
1000	C₂×C₂²⋊C₄	—	13	2	no	—
1001	C₂×C₂²⋊C₄	—	13	2	no	—
1002	C₂×C₂²⋊C₄	—	13	1	no	—
1003	C₂×C₂²⋊C₄	—	13	16	no	—
1004	C₂×C₂²⋊C₄	—	13	16	no	—
1005	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1006	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1007	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1008	C₂×C₄²	—	13	1	no	—
1009	C₂×C₄²	—	13	2	no	—
1010	C₂×C₄²	—	13	2	no	—
1011	C₂×C₄²	—	13	2	no	—
1012	C₂×C₄²	—	13	1	no	—
1013	C₂×C₄²	—	13	1	no	—
1014	C₂×C₄²	—	13	8	no	—
1015	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1016	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1017	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1018	C₂×C₁₃	—	2	8	no	—
1019	C₂×C₁₃	#3513	1	4	yes	complemented
1020	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1021	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1022	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1023	D₁₃	—	2	4	no	—
1024	D₁₃	—	4	2	no	—
1025	D₁₃	—	4	4	no	—
1026	D₁₃	—	4	4	no	—
1027	D₁₃	—	4	2	no	—
1028	C₂⁴	—	13	1	no	—
1029	C₂⁴	—	13	1	no	—
1030	C₂⁴	—	13	2	no	—
1031	C₂⁴	—	13	2	no	—
1032	C₂⁴	—	13	1	no	—
1033	C₂⁴	—	13	8	no	—
1034	C₂⁴	—	13	8	no	—
1035	C₂⁴	—	26	8	no	—
1036	C₂⁴	—	26	8	no	—
1037	C₂⁴	—	26	8	no	—
1038	C₂⁴	—	52	4	no	—
1039	C₂⁴	—	52	4	no	—
1040	C₂⁴	—	52	4	no	—
1041	C₂⁴	C₂³×D₁₃	1	2	yes	—
1042	#41	—	26	32	no	—
1043	#41	—	52	32	no	—
1044	C₂×Q₈	—	4	4	no	—
1045	C₂×Q₈	—	4	2	no	—
1046	C₂×Q₈	—	13	4	no	—
1047	C₂×Q₈	—	26	4	no	—
1048	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1049	C₂×Q₈	C₂³×D₁₃	1	8	yes	—
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	4	no	—
1056	C₂×D₄	—	13	8	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	8	no	—
1064	C₂×D₄	—	26	4	no	—
1065	C₂×D₄	—	26	8	no	—
1066	C₂×D₄	—	26	4	no	—
1067	C₂×D₄	—	26	8	no	—
1068	C₂×D₄	—	26	8	no	—
1069	C₂×D₄	—	26	8	no	—
1070	C₂×D₄	—	26	32	no	—
1071	C₂×D₄	—	26	32	no	—
1072	C₂×D₄	—	26	4	no	—
1073	C₂×D₄	—	26	4	no	—
1074	C₂×D₄	—	52	4	no	—
1075	C₂×D₄	—	52	4	no	—
1076	C₂×D₄	—	52	4	no	—
1077	C₂×D₄	—	52	4	no	—
1078	C₂×D₄	—	52	2	no	—
1079	C₂×D₄	—	52	4	no	—
1080	C₂×D₄	—	52	32	no	—
1081	C₂×D₄	#6131	1	8	yes	complemented
1082	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1083	C₂²×C₄	—	4	4	no	—
1084	C₂²×C₄	—	4	4	no	—
1085	C₂²×C₄	—	4	4	no	—
1086	C₂²×C₄	—	13	8	no	—
1087	C₂²×C₄	—	13	1	no	—
1088	C₂²×C₄	—	13	2	no	—
1089	C₂²×C₄	—	13	1	no	—
1090	C₂²×C₄	—	13	1	no	—
1091	C₂²×C₄	—	13	1	no	—
1092	C₂²×C₄	—	13	2	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	8	no	—
1098	C₂²×C₄	—	13	4	no	—
1099	C₂²×C₄	—	13	4	no	—
1100	C₂²×C₄	—	13	4	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	8	no	—
1108	C₂²×C₄	—	26	8	no	—
1109	C₂²×C₄	—	26	4	no	—
1110	C₂²×C₄	—	26	4	no	—
1111	C₂²×C₄	—	26	4	no	—
1112	C₂²×C₄	—	52	4	no	—
1113	C₂²×C₄	—	52	4	no	—
1114	C₂²×C₄	—	52	4	no	—
1115	C₂²×C₄	—	52	4	no	—
1116	C₂²×C₄	—	52	4	no	—
1117	C₂²×C₄	—	52	2	no	—
1118	C₂²×C₄	—	52	32	no	—
1119	C₂²×C₄	—	52	4	no	—
1120	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1124	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1125	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1129	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1130	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1131	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1132	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1133	C₄⋊C₄	—	13	4	no	—
1134	C₄⋊C₄	—	13	8	no	—
1135	C₄⋊C₄	—	13	4	no	—
1136	C₄⋊C₄	—	13	8	no	—
1137	C₄⋊C₄	—	13	8	no	—
1138	C₄⋊C₄	—	13	8	no	—
1139	C₄⋊C₄	—	13	4	no	—
1140	C₄⋊C₄	—	13	4	no	—
1141	C₄⋊C₄	—	13	4	no	—
1142	C₄⋊C₄	—	13	8	no	—
1143	C₄⋊C₄	—	13	8	no	—
1144	C₄⋊C₄	—	13	4	no	—
1145	C₄⋊C₄	—	13	4	no	—
1146	C₄⋊C₄	—	13	4	no	—
1147	C₄⋊C₄	C₂³×D₁₃	1	4	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	8	yes	—
1153	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1154	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1155	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1156	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1157	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
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	4	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	—	13	8	no	—
1172	C₂²⋊C₄	—	13	8	no	—
1173	C₂²⋊C₄	—	13	8	no	—
1174	C₂²⋊C₄	—	13	4	no	—
1175	C₂²⋊C₄	—	13	4	no	—
1176	C₂²⋊C₄	—	13	4	no	—
1177	C₂²⋊C₄	—	13	8	no	—
1178	C₂²⋊C₄	—	13	4	no	—
1179	C₂²⋊C₄	—	13	4	no	—
1180	C₂²⋊C₄	—	13	8	no	—
1181	C₂²⋊C₄	—	13	8	no	—
1182	C₂²⋊C₄	—	13	8	no	—
1183	C₂²⋊C₄	—	13	4	no	—
1184	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1185	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1186	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1187	C₄²	—	13	4	no	—
1188	C₄²	—	13	4	no	—
1189	C₄²	—	13	4	no	—
1190	C₄²	—	13	8	no	—
1191	C₄²	—	13	8	no	—
1192	C₄²	—	13	8	no	—
1193	C₄²	C₂³×D₁₃	1	4	yes	—
1194	C₄²	C₂³×D₁₃	1	4	yes	—
1195	C₄²	C₂³×D₁₃	1	4	yes	—
1196	C₁₃	C₂×#3513	1	1	yes	characteristic, complemented, Sylow
1197	C₂³	—	2	4	no	—
1198	C₂³	—	2	4	no	—
1199	C₂³	—	13	4	no	—
1200	C₂³	—	13	2	no	—
1201	C₂³	—	13	2	no	—
1202	C₂³	—	13	4	no	—
1203	C₂³	—	13	4	no	—
1204	C₂³	—	13	2	no	—
1205	C₂³	—	26	16	no	—
1206	C₂³	—	26	2	no	—
1207	C₂³	—	26	2	no	—
1208	C₂³	—	26	2	no	—
1209	C₂³	—	26	2	no	—
1210	C₂³	—	26	16	no	—
1211	C₂³	—	26	4	no	—
1212	C₂³	—	26	4	no	—
1213	C₂³	—	26	4	no	—
1214	C₂³	—	26	2	no	—
1215	C₂³	—	26	4	no	—
1216	C₂³	—	26	2	no	—
1217	C₂³	—	26	2	no	—
1218	C₂³	—	26	4	no	—
1219	C₂³	—	26	4	no	—
1220	C₂³	—	26	2	no	—
1221	C₂³	—	26	16	no	—
1222	C₂³	—	52	8	no	—
1223	C₂³	—	52	8	no	—
1224	C₂³	—	52	8	no	—
1225	C₂³	—	52	32	no	—
1226	C₂³	—	104	16	no	—
1227	C₂³	C₂×#6131	1	8	yes	—
1228	C₂³	C₂⁴×D₁₃	1	4	yes	—
1229	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1230	Q₈	—	4	8	no	—
1231	Q₈	—	4	4	no	—
1232	Q₈	—	26	8	no	—
1233	D₄	—	26	8	no	—
1234	D₄	—	26	16	no	—
1235	D₄	—	26	8	no	—
1236	D₄	—	26	16	no	—
1237	D₄	—	26	16	no	—
1238	D₄	—	26	16	no	—
1239	D₄	—	26	8	no	—
1240	D₄	—	26	8	no	—
1241	D₄	—	52	8	no	—
1242	D₄	—	52	4	no	—
1243	D₄	—	52	8	no	—
1244	D₄	—	52	8	no	—
1245	D₄	—	52	8	no	—
1246	D₄	—	52	8	no	—
1247	D₄	C₂×#6131	1	16	yes	complemented
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	4	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	2	2	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	4	no	—
1255	C₂×C₄	—	2	4	no	—
1256	C₂×C₄	—	2	2	no	—
1257	C₂×C₄	—	4	8	no	—
1258	C₂×C₄	—	4	8	no	—
1259	C₂×C₄	—	4	8	no	—
1260	C₂×C₄	—	13	2	no	—
1261	C₂×C₄	—	13	4	no	—
1262	C₂×C₄	—	13	2	no	—
1263	C₂×C₄	—	13	2	no	—
1264	C₂×C₄	—	13	2	no	—
1265	C₂×C₄	—	13	4	no	—
1266	C₂×C₄	—	13	2	no	—
1267	C₂×C₄	—	26	8	no	—
1268	C₂×C₄	—	26	16	no	—
1269	C₂×C₄	—	26	2	no	—
1270	C₂×C₄	—	26	2	no	—
1271	C₂×C₄	—	26	2	no	—
1272	C₂×C₄	—	26	4	no	—
1273	C₂×C₄	—	26	16	no	—
1274	C₂×C₄	—	26	2	no	—
1275	C₂×C₄	—	26	4	no	—
1276	C₂×C₄	—	26	2	no	—
1277	C₂×C₄	—	26	8	no	—
1278	C₂×C₄	—	26	8	no	—
1279	C₂×C₄	—	26	8	no	—
1280	C₂×C₄	—	52	8	no	—
1281	C₂×C₄	—	52	4	no	—
1282	C₂×C₄	—	52	8	no	—
1283	C₂×C₄	—	52	8	no	—
1284	C₂×C₄	—	52	8	no	—
1285	C₂×C₄	—	52	8	no	—
1286	C₂×C₄	—	52	8	no	—
1287	C₂×C₄	C₂×#6131	1	4	yes	—
1288	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1289	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1290	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1291	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1292	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1293	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1294	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1295	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1296	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1297	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1298	C₂²	—	2	16	no	—
1299	C₂²	—	2	4	no	—
1300	C₂²	—	2	4	no	—
1301	C₂²	—	13	4	no	—
1302	C₂²	—	26	8	no	—
1303	C₂²	—	26	2	no	—
1304	C₂²	—	26	2	no	—
1305	C₂²	—	26	2	no	—
1306	C₂²	—	26	2	no	—
1307	C₂²	—	26	4	no	—
1308	C₂²	—	26	4	no	—
1309	C₂²	—	26	2	no	—
1310	C₂²	—	26	4	no	—
1311	C₂²	—	26	4	no	—
1312	C₂²	—	26	2	no	—
1313	C₂²	—	26	4	no	—
1314	C₂²	—	26	2	no	—
1315	C₂²	—	26	4	no	—
1316	C₂²	—	26	2	no	—
1317	C₂²	—	52	32	no	—
1318	C₂²	—	52	4	no	—
1319	C₂²	—	52	8	no	—
1320	C₂²	—	52	8	no	—
1321	C₂²	—	52	4	no	—
1322	C₂²	—	104	16	no	—
1323	C₂²	C₂²×#6131	1	8	yes	—
1324	C₂²	C₂²×#6131	1	2	yes	—
1325	C₂²	#11719648	1	2	yes	—
1326	C₂²	D₁₃×H(5,𝔽₂)	1	2	yes	—
1327	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1328	C₄	—	2	2	no	—
1329	C₄	—	2	2	no	—
1330	C₄	—	2	4	no	—
1331	C₄	—	2	4	no	—
1332	C₄	—	2	2	no	—
1333	C₄	—	2	2	no	—
1334	C₄	—	2	4	no	—
1335	C₄	—	2	2	no	—
1336	C₄	—	2	2	no	—
1337	C₄	—	26	2	no	—
1338	C₄	—	26	2	no	—
1339	C₄	—	26	2	no	—
1340	C₄	—	26	4	no	—
1341	C₄	—	26	4	no	—
1342	C₄	—	26	2	no	—
1343	C₄	—	26	2	no	—
1344	C₄	C₂²×#6131	1	4	yes	—
1345	C₂	—	2	8	no	—
1346	C₂	—	26	4	no	—
1347	C₂	—	52	4	no	—
1348	C₂	—	52	2	no	—
1349	C₂	—	52	4	no	—
1350	C₂	—	52	2	no	—
1351	C₂	#13128779	1	4	yes	direct product factor
1352	C₂	C₂³×#6131	1	1	yes	characteristic
1353	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1354	C₂	C₂×#11719648	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#554	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#554	D₁₃
hypocenter	C₁₃	C₂×#3513
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#554

Complements

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

N	H ≅ G/N	type
1. #13128779	C₂	direct (N × H)
2. C₂×#11719290	C₂	semidirect
3. C₂×#11719400	C₂	semidirect
4. C₂×#11719219	C₂	semidirect
5. C₂×#11719399	C₂	semidirect
6. C₂×#11719342	C₂	semidirect
7. C₂×#11719342	C₂	semidirect
8. C₂×#11719431	C₂	semidirect
9. C₂×#11719259	C₂	semidirect
10. C₂×#11719259	C₂	semidirect
11. C₂×#11719335	C₂	semidirect
12. C₂×D₄×D₅₂	C₂	semidirect
13. C₂×#11719438	C₂	semidirect
14. C₂×#11719403	C₂	semidirect
15. C₂×#11719350	C₂	semidirect
16. C₂×#11719349	C₂	semidirect
17. C₂×#11719285	C₂	semidirect
18. C₂×#11719396	C₂	semidirect
19. C₂×#11719332	C₂	semidirect
20. C₂²×#88148	C₂	semidirect
21. C₂×#11719251	C₂	semidirect
22. C₂×#11719250	C₂	semidirect
23. C₂×C₄×D₄×D₁₃	C₂	semidirect
24. C₂×C₁₃×#554	C₂	semidirect
25. C₂²×#6131	C₂²	semidirect
30. C₂³×C₄×D₁₃	C₂²	semidirect
31. C₁₃×#554	C₂²	semidirect
32. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
33. C₂×C₁₃×#125	C₂²	semidirect
34. C₂×C₁₃×#125	C₂²	semidirect
35. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
36. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
37. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
38. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
42. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
43. C₂×#88201	C₂²	semidirect
44. C₂×#88201	C₂²	semidirect
45. C₂×#88201	C₂²	semidirect
46. C₂×#88200	C₂²	semidirect
47. C₂×#88200	C₂²	semidirect
48. C₂×#88200	C₂²	semidirect
51. C₂×#88184	C₂²	semidirect
52. C₂×#88184	C₂²	semidirect
53. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
54. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
55. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
56. C₂²×#6103	C₂²	semidirect
57. C₂²×#6103	C₂²	semidirect
58. C₂²×#6103	C₂²	semidirect
59. C₂²×#6101	C₂²	semidirect
60. #11719438	C₂²	semidirect
61. #11719431	C₂²	semidirect
62. #11719403	C₂²	semidirect
63. #11719400	C₂²	semidirect
64. #11719399	C₂²	semidirect
65. #11719396	C₂²	semidirect
66. #11719350	C₂²	semidirect
67. #11719349	C₂²	semidirect
68. #11719342	C₂²	semidirect
69. #11719342	C₂²	semidirect
70. #11719335	C₂²	semidirect
71. #11719332	C₂²	semidirect
72. #11719290	C₂²	semidirect
73. #11719285	C₂²	semidirect
74. #11719259	C₂²	semidirect
75. #11719259	C₂²	semidirect
76. D₄×D₅₂	C₂²	semidirect
77. #11719251	C₂²	semidirect
78. #11719250	C₂²	semidirect
79. C₄×D₄×D₁₃	C₂²	semidirect
80. #11719219	C₂²	semidirect
81. C₂×#88152	C₂²	semidirect
82. C₂×#88152	C₂²	semidirect
83. C₂×#88152	C₂²	semidirect
84. C₂×#88152	C₂²	semidirect
85. C₂×#88152	C₂²	semidirect
86. C₂×#88152	C₂²	semidirect
87. C₂×#88151	C₂²	semidirect
88. C₂×#88151	C₂²	semidirect
92. C₂×#88149	C₂²	semidirect
93. C₂×#88149	C₂²	semidirect
94. C₂×#88149	C₂²	semidirect
95. C₂×#88149	C₂²	semidirect
96. C₂×#88149	C₂²	semidirect
99. C₂×#88148	C₂²	semidirect
100. C₂×#88148	C₂²	semidirect
101. C₂×#88148	C₂²	semidirect
102. C₂×#88148	C₂²	semidirect
103. C₂×#88148	C₂²	semidirect
104. C₂×#88148	C₂²	semidirect
105. C₂×#88148	C₂²	semidirect
106. C₂×#88148	C₂²	semidirect
107. C₂×#88148	C₂²	semidirect
108. C₂×#88148	C₂²	semidirect
109. C₂×#88148	C₂²	semidirect
110. C₂×#88147	C₂²	semidirect
111. C₂×#88147	C₂²	semidirect
112. C₂×#88147	C₂²	semidirect
113. C₂×#88147	C₂²	semidirect
114. C₂×#88147	C₂²	semidirect
115. C₂×#88146	C₂²	semidirect
116. C₂×#88146	C₂²	semidirect
117. C₂×#88146	C₂²	semidirect
118. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
119. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
120. C₂×#88144	C₂²	semidirect
121. C₂×#88144	C₂²	semidirect
122. C₂×#88141	C₂²	semidirect
123. C₂×#88140	C₂²	semidirect
124. C₂×#88140	C₂²	semidirect
127. C₂×#88136	C₂²	semidirect
128. C₂×#88136	C₂²	semidirect
129. C₂×#88135	C₂²	semidirect
130. C₂×#88135	C₂²	semidirect
131. C₂×#88135	C₂²	semidirect
132. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
134. C₂×#88131	C₂²	semidirect
135. C₂×#88129	C₂²	semidirect
136. C₂×#88129	C₂²	semidirect
139. C₂×C₄×D₅₂	C₂²	semidirect
140. C₂×C₄×D₅₂	C₂²	semidirect
141. C₂×C₄×D₅₂	C₂²	semidirect
142. C₂×C₄×D₅₂	C₂²	semidirect
143. C₂×#88126	C₂²	semidirect
144. C₂×#88126	C₂²	semidirect
145. C₂×C₄²×D₁₃	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
161. C₂×#6131	C₂³	semidirect
193. C₂²×C₄×D₁₃	C₂³	semidirect
195. C₁₃×C₄⋊Q₈	C₂³	semidirect
196. C₁₃×#125	C₂³	semidirect
197. C₁₃×#125	C₂³	semidirect
198. C₁₃×C₂²⋊Q₈	C₂³	semidirect
199. C₁₃×C₂²⋊Q₈	C₂³	semidirect
200. C₁₃×C₂²⋊Q₈	C₂³	semidirect
201. C₄×Q₈×C₁₃	C₂³	semidirect
216. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
224. #88201	C₂³	semidirect
225. #88201	C₂³	semidirect
226. #88201	C₂³	semidirect
227. #88200	C₂³	semidirect
228. #88200	C₂³	semidirect
229. #88200	C₂³	semidirect
232. #88184	C₂³	semidirect
233. #88184	C₂³	semidirect
234. C₄×C₂²⋊D₁₃	C₂³	semidirect
235. C₄×C₂²⋊D₁₃	C₂³	semidirect
236. C₄×C₂²⋊D₁₃	C₂³	semidirect
262. C₂×#6103	C₂³	semidirect
263. C₂×#6103	C₂³	semidirect
264. C₂×#6103	C₂³	semidirect
279. C₂×#6101	C₂³	semidirect
286. #88152	C₂³	semidirect
287. #88152	C₂³	semidirect
288. #88152	C₂³	semidirect
289. #88152	C₂³	semidirect
290. #88152	C₂³	semidirect
291. #88152	C₂³	semidirect
292. #88151	C₂³	semidirect
293. #88151	C₂³	semidirect
297. #88149	C₂³	semidirect
298. #88149	C₂³	semidirect
299. #88149	C₂³	semidirect
300. #88149	C₂³	semidirect
301. #88149	C₂³	semidirect
304. #88148	C₂³	semidirect
305. #88148	C₂³	semidirect
306. #88148	C₂³	semidirect
307. #88148	C₂³	semidirect
308. #88148	C₂³	semidirect
309. #88148	C₂³	semidirect
310. #88148	C₂³	semidirect
311. #88148	C₂³	semidirect
312. #88148	C₂³	semidirect
313. #88148	C₂³	semidirect
314. #88147	C₂³	semidirect
315. #88147	C₂³	semidirect
316. #88147	C₂³	semidirect
317. #88147	C₂³	semidirect
318. #88147	C₂³	semidirect
319. #88146	C₂³	semidirect
320. #88146	C₂³	semidirect
321. #88146	C₂³	semidirect
322. C₄⋊C₄×D₁₃	C₂³	semidirect
323. C₄⋊C₄×D₁₃	C₂³	semidirect
324. #88144	C₂³	semidirect
325. #88144	C₂³	semidirect
326. #88141	C₂³	semidirect
327. #88140	C₂³	semidirect
328. #88140	C₂³	semidirect
331. #88136	C₂³	semidirect
332. #88136	C₂³	semidirect
333. #88135	C₂³	semidirect
334. #88135	C₂³	semidirect
335. #88135	C₂³	semidirect
336. C₂²⋊C₄×D₁₃	C₂³	semidirect
337. C₂²⋊C₄×D₁₃	C₂³	semidirect
338. #88131	C₂³	semidirect
339. #88129	C₂³	semidirect
340. #88129	C₂³	semidirect
343. C₄×D₅₂	C₂³	semidirect
344. C₄×D₅₂	C₂³	semidirect
345. C₄×D₅₂	C₂³	semidirect
346. C₄×D₅₂	C₂³	semidirect
347. #88126	C₂³	semidirect
348. #88126	C₂³	semidirect
349. C₄²×D₁₃	C₂³	semidirect
350. C₄×Dic₂₆	C₂³	semidirect
370. C₂×D₄×C₁₃	#41	semidirect
522. C₂×#554	D₁₃	semidirect
579. D₄×C₁₃	C₂×#41	semidirect
652. #554	C₂×D₁₃	semidirect
667. C₂×C₄⋊Q₈	C₂×D₁₃	semidirect
679. C₂×#125	C₂×D₁₃	semidirect
680. C₂×#125	C₂×D₁₃	semidirect
707. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
708. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
709. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
729. C₂×C₄×Q₈	C₂×D₁₃	semidirect
760. C₂²×C₄⋊C₄	C₂×D₁₃	semidirect
862. C₄⋊Q₈	C₂²×D₁₃	semidirect
872. #125	C₂²×D₁₃	semidirect
873. #125	C₂²×D₁₃	semidirect
898. C₂²⋊Q₈	C₂²×D₁₃	semidirect
899. C₂²⋊Q₈	C₂²×D₁₃	semidirect
900. C₂²⋊Q₈	C₂²×D₁₃	semidirect
918. C₄×Q₈	C₂²×D₁₃	semidirect
973. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1019. C₂×C₁₃	#3513	semidirect
1081. C₂×D₄	#6131	semidirect
1196. C₁₃	C₂×#3513	semidirect
1247. D₄	C₂×#6131	semidirect
1351. C₂	#13128779	direct (N × H)

Maximal subgroups

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

subgroup	index
#13128779	2
C₂×#11719290	2
C₂×#11719400	2
C₂×#11719219	2
C₂×#11719399	2
C₂×#11719342	2
C₂×#11719431	2
C₂×#11719259	2
C₂×#11719335	2
C₂×D₄×D₅₂	2
C₂×#11719438	2
C₂×#11719403	2
C₂×#11719350	2
C₂×#11719349	2
C₂×#11719285	2
C₂×#11719396	2
C₂×#11719332	2
C₂²×#88148	2
C₂×#11719251	2
C₂×#11719250	2
C₂×C₄×D₄×D₁₃	2
C₂×C₁₃×#554	2
C₂×#3513	13

Subgroups — C2×#13128779 #16770897

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13128779 #16770897