Subgroups — C₂×#13128583 #16771340

Order 3328.

7206 conjugacy classes of subgroups.

The subgroup lattice has 1268 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128583	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719273	C₂	1	2	yes	maximal, complemented
3	C₂×#11719341	C₂	1	2	yes	maximal, complemented
4	C₂×#11719286	C₂	1	2	yes	maximal, complemented
5	C₂×#11719236	C₂	1	2	yes	maximal, complemented
6	C₂×#11719398	C₂	1	2	yes	maximal, complemented
7	C₂×#11719398	C₂	1	2	yes	maximal, complemented
8	C₂×#11719342	C₂	1	2	yes	maximal, complemented
9	C₂×#11719232	C₂	1	2	yes	maximal, complemented
10	C₂×#11719434	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719438	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719287	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719436	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719288	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719429	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11719327	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#11719329	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#11719184	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719332	C₂	1	1	yes	maximal, characteristic
20	C₂×D₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#11719279	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719277	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×#88126	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#6131	C₂²	1	1	yes	characteristic
26	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
27	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
28	C₁₃×#533	C₂²	1	16	yes	complemented
29	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
32	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
34	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
38	C₂×C₁₃×#117	C₂²	1	2	yes	—
39	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
40	C₂×#88201	C₂²	1	2	yes	—
41	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88200	C₂²	1	1	yes	characteristic
43	C₂×#88200	C₂²	1	1	yes	characteristic
44	C₂×#88200	C₂²	1	2	yes	—
45	C₂×#88200	C₂²	1	2	yes	complemented
46	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
47	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
48	C₂×#88198	C₂²	1	1	yes	characteristic, complemented
49	C₂×#88198	C₂²	1	2	yes	complemented
50	C₂×#88184	C₂²	1	1	yes	characteristic
51	C₂×#88183	C₂²	1	2	yes	—
52	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	—
53	C₂²×#6103	C₂²	1	1	yes	characteristic
54	C₂²×#6103	C₂²	1	1	yes	characteristic
55	C₂×#88178	C₂²	1	1	yes	characteristic
56	C₂²×#6101	C₂²	1	1	yes	characteristic
57	C₂²×#6101	C₂²	1	1	yes	characteristic
58	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
59	#11719438	C₂²	1	16	yes	complemented
60	#11719436	C₂²	1	16	yes	complemented
61	#11719434	C₂²	1	16	yes	complemented
62	#11719429	C₂²	1	16	yes	complemented
63	#11719398	C₂²	1	32	yes	complemented
64	#11719398	C₂²	1	32	yes	complemented
65	#11719342	C₂²	1	32	yes	complemented
66	#11719341	C₂²	1	32	yes	complemented
67	#11719332	C₂²	1	16	yes	—
68	D₁₃×C₂²⋊Q₈	C₂²	1	16	yes	complemented
69	#11719329	C₂²	1	16	yes	complemented
70	#11719327	C₂²	1	16	yes	complemented
71	#11719288	C₂²	1	16	yes	complemented
72	#11719287	C₂²	1	16	yes	complemented
73	#11719286	C₂²	1	32	yes	complemented
74	#11719279	C₂²	1	16	yes	complemented
75	#11719277	C₂²	1	16	yes	complemented
76	#11719273	C₂²	1	32	yes	complemented
77	#11719236	C₂²	1	32	yes	complemented
78	#11719232	C₂²	1	32	yes	complemented
79	C₂×#88152	C₂²	1	2	yes	—
80	C₂×#88152	C₂²	1	2	yes	—
81	C₂×#88152	C₂²	1	2	yes	—
82	C₂×#88152	C₂²	1	2	yes	complemented
83	C₂×#88152	C₂²	1	2	yes	complemented
84	C₂×#88151	C₂²	1	1	yes	characteristic
85	C₂×#88150	C₂²	1	2	yes	—
86	C₂×#88150	C₂²	1	2	yes	—
87	C₂×#88150	C₂²	1	2	yes	complemented
88	C₂×#88150	C₂²	1	2	yes	complemented
89	C₂×#88150	C₂²	1	2	yes	complemented
90	C₂×#88149	C₂²	1	1	yes	characteristic
91	C₂×#88148	C₂²	1	2	yes	—
92	C₂×#88148	C₂²	1	2	yes	—
93	C₂×#88148	C₂²	1	2	yes	—
94	C₂×#88148	C₂²	1	2	yes	—
95	C₂×#88148	C₂²	1	2	yes	—
96	C₂×#88147	C₂²	1	2	yes	—
97	C₂×#88147	C₂²	1	2	yes	—
98	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
99	C₂×#88146	C₂²	1	1	yes	characteristic
100	C₂×#88146	C₂²	1	2	yes	—
101	C₂×#88146	C₂²	1	2	yes	complemented
102	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
103	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	—
104	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
105	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
106	C₂×#88143	C₂²	1	2	yes	complemented
107	C₂×#88143	C₂²	1	2	yes	complemented
108	C₂×#88143	C₂²	1	2	yes	complemented
109	C₂×#88143	C₂²	1	2	yes	complemented
110	C₂×#88143	C₂²	1	2	yes	complemented
111	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
112	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
113	C₂×#88141	C₂²	1	2	yes	complemented
114	C₂×#88141	C₂²	1	2	yes	complemented
115	C₂×#88140	C₂²	1	2	yes	—
116	C₂×#88136	C₂²	1	2	yes	—
117	C₂×#88135	C₂²	1	2	yes	—
118	C₂×#88135	C₂²	1	2	yes	—
119	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
120	C₂×#88132	C₂²	1	2	yes	—
121	C₂×#88132	C₂²	1	2	yes	—
122	C₂×#88131	C₂²	1	2	yes	—
123	#11719184	C₂²	1	16	yes	complemented
124	C₂×#88130	C₂²	1	2	yes	—
125	C₂×#88130	C₂²	1	2	yes	complemented
126	C₂×#88130	C₂²	1	2	yes	complemented
127	C₂×#88129	C₂²	1	2	yes	—
128	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
129	C₂×C₄×D₅₂	C₂²	1	2	yes	—
130	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
131	C₂×#88126	C₂²	1	1	yes	characteristic
132	C₂×#88126	C₂²	1	1	yes	characteristic
133	C₂×#88126	C₂²	1	1	yes	characteristic
134	C₂×#88126	C₂²	1	1	yes	characteristic
135	C₂×#88126	C₂²	1	1	yes	characteristic
136	C₂×#88126	C₂²	1	1	yes	characteristic
137	C₂×#88126	C₂²	1	1	yes	characteristic
138	C₂×#88126	C₂²	1	1	yes	characteristic
139	C₂×#88126	C₂²	1	2	yes	—
140	C₂×#88126	C₂²	1	16	yes	complemented
141	C₂×#88126	C₂²	1	2	yes	complemented
142	C₂×#88126	C₂²	1	2	yes	complemented
143	C₂×#88124	C₂²	1	2	yes	complemented
144	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₂₆	C₂²	1	2	yes	complemented
147	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
148	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
149	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
150	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
151	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
155	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
156	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
157	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
158	C₂×#6131	—	2	8	no	—
159	C₂×#6131	C₂³	1	8	yes	—
160	C₂×Q₈×D₁₃	—	2	8	no	—
161	C₂×Q₈×D₁₃	C₂³	1	8	yes	—
162	C₂²×D₅₂	C₂³	1	2	yes	—
163	C₂²×D₅₂	C₂³	1	1	yes	characteristic
164	C₂²×D₅₂	C₂³	1	2	yes	—
165	C₂²×C₄×D₁₃	—	2	8	no	—
166	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
167	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
168	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
169	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
170	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
171	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
172	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
173	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
174	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
175	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
176	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
177	C₂²×Dic₂₆	C₂³	1	2	yes	—
178	C₂²×Dic₂₆	C₂³	1	2	yes	—
179	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
180	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
181	C₁₃×#125	C₂³	1	16	yes	complemented
182	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
183	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
184	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
185	C₄×Q₈×C₁₃	C₂³	1	16	yes	complemented
186	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
187	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
188	C₁₃×#117	C₂³	1	16	yes	—
189	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
190	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
191	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
192	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
193	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
194	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
195	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
196	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
198	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
201	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
202	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
203	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
204	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
205	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₃	C₂³	1	8	yes	—
207	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
208	#88201	C₂³	1	16	yes	—
209	#88201	C₂³	1	8	yes	complemented
210	#88200	C₂³	1	16	yes	—
211	#88200	C₂³	1	8	yes	—
212	#88200	C₂³	1	8	yes	—
213	#88200	C₂³	1	16	yes	complemented
214	Q₈×Dic₁₃	C₂³	1	8	yes	complemented
215	Q₈×Dic₁₃	C₂³	1	8	yes	complemented
216	#88198	C₂³	1	8	yes	complemented
217	#88198	C₂³	1	16	yes	complemented
218	#88184	C₂³	1	8	yes	—
219	#88183	C₂³	1	16	yes	—
220	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	—
221	C₂×#6103	C₂³	1	1	yes	characteristic
222	C₂×#6103	C₂³	1	1	yes	characteristic
223	C₂×#6103	C₂³	1	1	yes	characteristic
224	C₂×#6103	C₂³	1	1	yes	characteristic
225	C₂×#6103	C₂³	1	1	yes	characteristic
226	C₂×#6103	C₂³	1	1	yes	characteristic
227	C₂×#6103	C₂³	1	1	yes	characteristic
228	C₂×#6103	C₂³	1	1	yes	characteristic
229	C₂×#6103	C₂³	1	2	yes	—
230	C₂×#6103	C₂³	1	8	yes	—
231	C₂×#6103	C₂³	1	8	yes	—
232	C₂×#6103	C₂³	1	2	yes	—
233	C₂×#6103	C₂³	1	2	yes	—
234	C₂×#6103	C₂³	1	2	yes	—
235	C₂×#6103	C₂³	1	2	yes	—
236	C₂×#6103	C₂³	1	2	yes	—
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	2	yes	—
242	C₂×#6103	C₂³	1	2	yes	—
243	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
245	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
247	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
248	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
249	#88178	C₂³	1	8	yes	—
250	C₂×#6101	C₂³	1	2	yes	—
251	C₂×#6101	C₂³	1	1	yes	characteristic
252	C₂×#6101	C₂³	1	1	yes	characteristic
253	C₂×#6101	C₂³	1	2	yes	—
254	C₂×#6101	C₂³	1	2	yes	—
255	C₂×#6101	C₂³	1	2	yes	—
256	C₂×#6101	C₂³	1	2	yes	—
257	C₂×#6101	C₂³	1	1	yes	characteristic
258	C₂×#6101	C₂³	1	1	yes	characteristic
259	C₂×#6101	C₂³	1	1	yes	characteristic
260	C₂×#6101	C₂³	1	1	yes	characteristic
261	C₂×#6101	C₂³	1	1	yes	characteristic
262	C₂×#6101	C₂³	1	1	yes	characteristic
263	C₂×#6101	C₂³	1	2	yes	—
264	C₂×#6101	C₂³	1	8	yes	—
265	C₂×#6101	C₂³	1	8	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	2	yes	—
270	C₂×#6101	C₂³	1	2	yes	—
271	C₂×#6101	C₂³	1	2	yes	—
272	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
273	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
274	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
275	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
280	C₂×C₄×Dic₁₃	C₂³	1	8	yes	—
281	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
282	#88152	C₂³	1	16	yes	—
283	#88152	C₂³	1	16	yes	—
284	#88152	C₂³	1	16	yes	—
285	#88152	C₂³	1	16	yes	complemented
286	#88152	C₂³	1	16	yes	complemented
287	#88151	C₂³	1	8	yes	—
288	#88150	C₂³	1	16	yes	—
289	#88150	C₂³	1	16	yes	—
290	#88150	C₂³	1	16	yes	complemented
291	#88150	C₂³	1	16	yes	complemented
292	#88150	C₂³	1	16	yes	complemented
293	#88149	C₂³	1	8	yes	—
294	#88148	C₂³	1	16	yes	—
295	#88148	C₂³	1	16	yes	—
296	#88148	C₂³	1	16	yes	—
297	#88148	C₂³	1	16	yes	—
298	#88148	C₂³	1	16	yes	—
299	#88147	C₂³	1	16	yes	—
300	#88147	C₂³	1	16	yes	—
301	#88147	C₂³	1	8	yes	complemented
302	#88146	C₂³	1	8	yes	—
303	#88146	C₂³	1	16	yes	—
304	#88146	C₂³	1	16	yes	complemented
305	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
306	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
307	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
308	#88144	C₂³	1	8	yes	complemented
309	#88143	C₂³	1	16	yes	complemented
310	#88143	C₂³	1	16	yes	complemented
311	#88143	C₂³	1	16	yes	complemented
312	#88143	C₂³	1	16	yes	complemented
313	#88143	C₂³	1	16	yes	complemented
314	#88142	C₂³	1	8	yes	complemented
315	#88141	C₂³	1	8	yes	complemented
316	#88141	C₂³	1	16	yes	complemented
317	#88141	C₂³	1	16	yes	complemented
318	#88140	C₂³	1	16	yes	—
319	#88136	C₂³	1	16	yes	—
320	#88135	C₂³	1	16	yes	—
321	#88135	C₂³	1	16	yes	—
322	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
323	#88132	C₂³	1	16	yes	—
324	#88132	C₂³	1	16	yes	—
325	#88131	C₂³	1	16	yes	—
326	#88130	C₂³	1	16	yes	—
327	#88130	C₂³	1	16	yes	complemented
328	#88130	C₂³	1	16	yes	complemented
329	#88129	C₂³	1	16	yes	—
330	#88129	C₂³	1	8	yes	complemented
331	C₄×D₅₂	C₂³	1	16	yes	—
332	C₄×D₅₂	C₂³	1	8	yes	complemented
333	#88126	C₂³	1	8	yes	—
334	#88126	C₂³	1	8	yes	—
335	#88126	C₂³	1	8	yes	—
336	#88126	C₂³	1	8	yes	—
337	#88126	C₂³	1	8	yes	—
338	#88126	C₂³	1	8	yes	—
339	#88126	C₂³	1	8	yes	—
340	#88126	C₂³	1	8	yes	—
341	#88126	C₂³	1	16	yes	—
342	#88126	C₂³	1	16	yes	complemented
343	#88126	C₂³	1	16	yes	complemented
344	#88124	C₂³	1	8	yes	complemented
345	#88124	C₂³	1	16	yes	complemented
346	C₄×Dic₂₆	C₂³	1	8	yes	complemented
347	C₄×Dic₂₆	C₂³	1	16	yes	complemented
348	C₂×#3495	—	13	1	no	maximal, Sylow
349	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
350	C₂³×D₁₃	—	2	4	no	—
351	C₂³×D₁₃	—	2	4	no	—
352	C₂³×D₁₃	—	4	2	no	—
353	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
354	C₂³×D₁₃	C₂⁴	1	2	yes	—
355	C₂³×D₁₃	C₂⁴	1	4	yes	—
356	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
357	C₂×Q₈×C₁₃	—	2	4	no	—
358	C₂×Q₈×C₁₃	—	2	4	no	—
359	C₂×Q₈×C₁₃	—	4	4	no	—
360	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
361	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
362	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
363	C₂²×C₄×C₁₃	—	2	4	no	—
364	C₂²×C₄×C₁₃	—	2	4	no	—
365	C₂²×C₄×C₁₃	—	4	2	no	—
366	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
369	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
370	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
371	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
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	4	yes	—
377	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×C₂²⋊D₁₃	—	2	8	no	—
380	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
381	C₂²×Dic₁₃	—	2	4	no	—
382	C₂²×Dic₁₃	—	2	4	no	—
383	C₂²×Dic₁₃	—	4	2	no	—
384	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
385	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
386	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
389	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
392	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
393	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
395	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
396	#6131	—	2	32	no	—
397	Q₈×D₁₃	—	2	32	no	—
398	C₂×D₅₂	—	2	8	no	—
399	C₂×D₅₂	—	2	4	no	—
400	C₂×D₅₂	—	4	4	no	—
401	C₂×D₅₂	C₂⁴	1	8	yes	—
402	C₂×D₅₂	C₂⁴	1	4	yes	—
403	C₂×D₅₂	C₂⁴	1	8	yes	—
404	C₂×C₄×D₁₃	—	2	4	no	—
405	C₂×C₄×D₁₃	—	2	8	no	—
406	C₂×C₄×D₁₃	—	2	4	no	—
407	C₂×C₄×D₁₃	—	2	4	no	—
408	C₂×C₄×D₁₃	—	2	8	no	—
409	C₂×C₄×D₁₃	—	2	32	no	—
410	C₂×C₄×D₁₃	—	4	4	no	—
411	C₂×C₄×D₁₃	—	4	4	no	—
412	C₂×C₄×D₁₃	—	4	4	no	—
413	C₂×C₄×D₁₃	#41	1	8	yes	—
414	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
415	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
416	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
417	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
418	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
419	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
420	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
421	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
422	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
423	C₂×Dic₂₆	—	2	4	no	—
424	C₂×Dic₂₆	—	2	8	no	—
425	C₂×Dic₂₆	—	4	4	no	—
426	C₂×Dic₂₆	C₂⁴	1	4	yes	—
427	C₂×Dic₂₆	C₂⁴	1	8	yes	—
428	C₂×Dic₂₆	C₂⁴	1	8	yes	—
429	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
430	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
431	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
432	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
433	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
434	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
435	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
436	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
437	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
438	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
439	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
440	C₄²×C₁₃	C₂⁴	1	4	yes	—
441	C₄²×C₁₃	C₂⁴	1	8	yes	—
442	C₄²×C₁₃	C₂⁴	1	4	yes	—
443	C₄²×C₁₃	C₂⁴	1	8	yes	—
444	C₄²×C₁₃	C₂⁴	1	4	yes	—
445	C₄²×C₁₃	C₂⁴	1	4	yes	—
446	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
447	#6103	C₂⁴	1	4	yes	—
448	#6103	C₂⁴	1	4	yes	—
449	#6103	C₂⁴	1	4	yes	—
450	#6103	C₂⁴	1	4	yes	—
451	#6103	C₂⁴	1	4	yes	—
452	#6103	C₂⁴	1	4	yes	—
453	#6103	C₂⁴	1	4	yes	—
454	#6103	C₂⁴	1	4	yes	—
455	#6103	C₂⁴	1	8	yes	—
456	#6103	C₂⁴	1	8	yes	—
457	#6103	C₂⁴	1	8	yes	—
458	#6103	C₂⁴	1	8	yes	—
459	#6103	C₂⁴	1	8	yes	—
460	#6103	C₂⁴	1	8	yes	—
461	#6103	C₂⁴	1	8	yes	—
462	#6103	C₂⁴	1	8	yes	—
463	#6103	C₂⁴	1	8	yes	—
464	#6103	C₂⁴	1	8	yes	—
465	#6103	C₂⁴	1	8	yes	—
466	#6103	C₂⁴	1	8	yes	—
467	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
468	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
469	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
470	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
471	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
472	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
473	#6101	C₂⁴	1	8	yes	—
474	#6101	C₂⁴	1	4	yes	—
475	#6101	C₂⁴	1	4	yes	—
476	#6101	C₂⁴	1	8	yes	—
477	#6101	C₂⁴	1	8	yes	—
478	#6101	C₂⁴	1	8	yes	—
479	#6101	C₂⁴	1	8	yes	—
480	#6101	C₂⁴	1	4	yes	—
481	#6101	C₂⁴	1	4	yes	—
482	#6101	C₂⁴	1	4	yes	—
483	#6101	C₂⁴	1	4	yes	—
484	#6101	C₂⁴	1	4	yes	—
485	#6101	C₂⁴	1	4	yes	—
486	#6101	C₂⁴	1	8	yes	—
487	#6101	C₂⁴	1	8	yes	—
488	#6101	C₂⁴	1	8	yes	—
489	#6101	C₂⁴	1	8	yes	—
490	#6101	C₂⁴	1	8	yes	—
491	#6101	C₂⁴	1	8	yes	—
492	#6101	C₂⁴	1	8	yes	—
493	C₄×Dic₁₃	C₂⁴	1	8	yes	—
494	C₄×Dic₁₃	C₂⁴	1	8	yes	—
495	C₄×Dic₁₃	C₂⁴	1	8	yes	—
496	C₄×Dic₁₃	C₂⁴	1	4	yes	—
497	C₄×Dic₁₃	C₂⁴	1	4	yes	—
498	C₄×Dic₁₃	C₂⁴	1	4	yes	—
499	C₄×Dic₁₃	C₂⁴	1	4	yes	—
500	C₄×Dic₁₃	C₂⁴	1	8	yes	—
501	C₄×Dic₁₃	C₂⁴	1	8	yes	—
502	#3495	—	13	32	no	—
503	C₂×#556	—	13	2	no	—
504	C₂×#554	—	13	2	no	—
505	C₂×#552	—	13	2	no	—
506	C₂×#552	—	13	2	no	—
507	C₂×#552	—	13	2	no	—
508	C₂×#552	—	13	2	no	—
509	C₂×#551	—	13	2	no	—
510	C₂×#551	—	13	2	no	—
511	C₂×#544	—	13	1	no	—
512	C₂×#542	—	13	1	no	—
513	C₂×#542	—	13	1	no	—
514	C₂×#541	—	13	1	no	—
515	C₂×#541	—	13	1	no	—
516	C₂×#536	—	13	1	no	—
517	C₂×#533	—	13	1	no	—
518	C₂×#533	D₁₃	1	1	yes	characteristic, complemented
519	C₂×#529	—	13	1	no	—
520	C₂×#529	—	13	1	no	—
521	C₂×#525	—	13	1	no	—
522	C₂²×C₂²⋊Q₈	—	13	1	no	—
523	C₂×#520	—	13	1	no	—
524	C₂×#519	—	13	1	no	—
525	C₂²×#117	—	13	1	no	—
526	C₂³×C₁₃	—	2	2	no	—
527	C₂³×C₁₃	—	2	2	no	—
528	C₂³×C₁₃	2₋¹⁺⁴	1	4	yes	—
529	C₂³×C₁₃	C₂⁵	1	2	yes	—
530	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
531	C₂²×D₁₃	—	2	2	no	—
532	C₂²×D₁₃	—	2	2	no	—
533	C₂²×D₁₃	—	2	2	no	—
534	C₂²×D₁₃	—	2	4	no	—
535	C₂²×D₁₃	—	2	4	no	—
536	C₂²×D₁₃	—	2	8	no	—
537	C₂²×D₁₃	—	2	2	no	—
538	C₂²×D₁₃	—	2	4	no	—
539	C₂²×D₁₃	—	2	2	no	—
540	C₂²×D₁₃	—	2	8	no	—
541	C₂²×D₁₃	—	4	4	no	—
542	C₂²×D₁₃	—	4	16	no	—
543	C₂²×D₁₃	C₂×#41	1	4	yes	—
544	C₂²×D₁₃	C₂⁵	1	2	yes	—
545	C₂²×D₁₃	C₂⁵	1	4	yes	—
546	C₂²×D₁₃	C₂⁵	1	2	yes	—
547	Q₈×C₁₃	—	2	8	no	—
548	Q₈×C₁₃	—	2	8	no	—
549	Q₈×C₁₃	—	4	8	no	—
550	C₂×C₄×C₁₃	—	2	4	no	—
551	C₂×C₄×C₁₃	—	2	2	no	—
552	C₂×C₄×C₁₃	—	2	4	no	—
553	C₂×C₄×C₁₃	—	2	8	no	—
554	C₂×C₄×C₁₃	—	2	2	no	—
555	C₂×C₄×C₁₃	—	2	2	no	—
556	C₂×C₄×C₁₃	—	2	4	no	—
557	C₂×C₄×C₁₃	—	2	2	no	—
558	C₂×C₄×C₁₃	—	2	4	no	—
559	C₂×C₄×C₁₃	—	2	2	no	—
560	C₂×C₄×C₁₃	—	2	8	no	—
561	C₂×C₄×C₁₃	—	4	4	no	—
562	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
563	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
564	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
565	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
566	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
567	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
568	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
569	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
570	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
571	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
572	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
573	C₂²⋊D₁₃	—	2	16	no	—
574	C₂×Dic₁₃	—	2	4	no	—
575	C₂×Dic₁₃	—	2	2	no	—
576	C₂×Dic₁₃	—	2	8	no	—
577	C₂×Dic₁₃	—	2	2	no	—
578	C₂×Dic₁₃	—	2	2	no	—
579	C₂×Dic₁₃	—	2	4	no	—
580	C₂×Dic₁₃	—	2	2	no	—
581	C₂×Dic₁₃	—	2	4	no	—
582	C₂×Dic₁₃	—	2	2	no	—
583	C₂×Dic₁₃	—	2	8	no	—
584	C₂×Dic₁₃	—	4	4	no	—
585	C₂×Dic₁₃	C₂×#41	1	4	yes	—
586	C₂×Dic₁₃	C₂⁵	1	2	yes	—
587	C₂×Dic₁₃	C₂⁵	1	2	yes	—
588	C₂×Dic₁₃	C₂⁵	1	4	yes	—
589	C₂×Dic₁₃	C₂⁵	1	2	yes	—
590	C₂×Dic₁₃	C₂⁵	1	2	yes	—
591	C₂×Dic₁₃	C₂⁵	1	4	yes	—
592	C₂×Dic₁₃	C₂⁵	1	4	yes	—
593	C₂×Dic₁₃	C₂⁵	1	2	yes	—
594	C₂×Dic₁₃	C₂⁵	1	2	yes	—
595	D₅₂	—	2	16	no	—
596	D₅₂	—	2	8	no	—
597	D₅₂	—	4	8	no	—
598	C₄×D₁₃	—	2	8	no	—
599	C₄×D₁₃	—	2	16	no	—
600	C₄×D₁₃	—	2	8	no	—
601	C₄×D₁₃	—	2	8	no	—
602	C₄×D₁₃	—	2	16	no	—
603	C₄×D₁₃	—	4	8	no	—
604	C₄×D₁₃	—	4	8	no	—
605	C₄×D₁₃	—	4	8	no	—
606	C₄×D₁₃	C₂×#41	1	16	yes	—
607	Dic₂₆	—	2	8	no	—
608	Dic₂₆	—	2	16	no	—
609	Dic₂₆	—	4	8	no	—
610	C₂²×#41	—	13	1	no	—
611	C₂³×Q₈	—	13	1	no	—
612	C₂⁴×C₄	—	13	1	no	—
613	#556	—	13	32	no	—
614	#554	—	13	32	no	—
615	#552	—	13	32	no	—
616	#552	—	13	32	no	—
617	#552	—	13	32	no	—
618	#552	—	13	32	no	—
619	#551	—	13	32	no	—
620	#551	—	13	32	no	—
621	#544	—	13	16	no	—
622	#542	—	13	16	no	—
623	#542	—	13	16	no	—
624	#541	—	13	16	no	—
625	#541	—	13	16	no	—
626	#536	—	13	16	no	—
627	#533	—	13	16	no	—
628	#533	C₂×D₁₃	1	16	yes	complemented
629	C₂×C₄⋊Q₈	—	13	1	no	—
630	C₂×C₄⋊Q₈	—	13	2	no	—
631	C₂×C₄⋊Q₈	—	13	1	no	—
632	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
633	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
634	#529	—	13	16	no	—
635	#529	—	13	16	no	—
636	C₂×#126	—	13	2	no	—
637	C₂×#126	—	13	2	no	—
638	C₂×#126	—	13	2	no	—
639	C₂×#126	—	13	2	no	—
640	C₂×#126	—	13	2	no	—
641	C₂×#126	—	13	2	no	—
642	C₂×#126	—	13	2	no	—
643	C₂×#126	—	13	2	no	—
644	C₂×#125	—	13	2	no	—
645	C₂×#125	—	13	2	no	—
646	C₂×#125	—	13	2	no	—
647	C₂×#125	—	13	2	no	—
648	C₂×#125	—	13	2	no	—
649	C₂×#125	—	13	1	no	—
650	C₂×#125	—	13	1	no	—
651	C₂×#125	—	13	2	no	—
652	C₂×#125	C₂×D₁₃	1	2	yes	complemented
653	C₂×#124	—	13	2	no	—
654	C₂×#124	—	13	1	no	—
655	C₂×#124	—	13	2	no	—
656	C₂×#124	—	13	1	no	—
657	#525	—	13	16	no	—
658	C₂×#123	—	13	2	no	—
659	C₂×#123	—	13	2	no	—
660	C₂×#123	—	13	2	no	—
661	C₂×#123	—	13	2	no	—
662	C₂×#123	—	13	2	no	—
663	C₂×#123	—	13	2	no	—
664	C₂×#123	—	13	2	no	—
665	C₂×C₂²⋊Q₈	—	13	1	no	—
666	C₂×C₂²⋊Q₈	—	13	1	no	—
667	C₂×C₂²⋊Q₈	—	13	2	no	—
668	C₂×C₂²⋊Q₈	—	13	2	no	—
669	C₂×C₂²⋊Q₈	—	13	1	no	—
670	C₂×C₂²⋊Q₈	—	13	16	no	—
671	C₂×C₂²⋊Q₈	—	13	2	no	—
672	C₂×C₂²⋊Q₈	—	13	2	no	—
673	C₂×C₂²⋊Q₈	—	13	2	no	—
674	C₂×C₂²⋊Q₈	—	13	2	no	—
675	C₂×C₂²⋊Q₈	—	13	2	no	—
676	C₂×C₂²⋊Q₈	—	13	1	no	—
677	C₂×C₂²⋊Q₈	—	13	2	no	—
678	C₂×C₂²⋊Q₈	—	13	2	no	—
679	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
680	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
681	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	—
682	C₂×#121	—	13	1	no	—
683	C₂×#121	—	13	1	no	—
684	C₂×#120	—	13	2	no	—
685	#520	—	13	16	no	—
686	#519	—	13	16	no	—
687	C₂×C₄×Q₈	—	13	1	no	—
688	C₂×C₄×Q₈	—	13	1	no	—
689	C₂×C₄×Q₈	—	13	1	no	—
690	C₂×C₄×Q₈	—	13	2	no	—
691	C₂×C₄×Q₈	—	13	2	no	—
692	C₂×C₄×Q₈	—	13	1	no	—
693	C₂×C₄×Q₈	—	13	2	no	—
694	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
695	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
696	C₂×C₄×Q₈	C₂×D₁₃	1	2	yes	complemented
697	C₂×C₄×D₄	—	13	2	no	—
698	C₂×C₄×D₄	—	13	2	no	—
699	C₂×C₄×D₄	—	13	2	no	—
700	C₂×C₄×D₄	—	13	1	no	—
701	C₂×C₄×D₄	—	13	2	no	—
702	C₂×C₄×D₄	—	13	2	no	—
703	C₂×C₄×D₄	—	13	2	no	—
704	C₂×C₄×D₄	—	13	1	no	—
705	C₂×#117	—	13	1	no	—
706	C₂×#117	—	13	2	no	—
707	C₂×#117	—	13	2	no	—
708	C₂×#117	—	13	2	no	—
709	C₂×#117	—	13	1	no	—
710	C₂×#117	—	13	1	no	—
711	C₂×#117	—	13	1	no	—
712	C₂×#117	—	13	1	no	—
713	C₂×#117	—	13	1	no	—
714	C₂×#117	—	13	1	no	—
715	C₂×#117	—	13	1	no	—
716	C₂×#117	—	13	1	no	—
717	C₂×#117	—	13	2	no	—
718	C₂×#117	—	13	16	no	—
719	C₂×#117	—	13	2	no	—
720	C₂×#117	—	13	2	no	—
721	C₂×#117	C₂×D₁₃	1	2	yes	—
722	C₂²×C₄⋊C₄	—	13	1	no	—
723	C₂²×C₄⋊C₄	—	13	1	no	—
724	C₂²×C₄⋊C₄	—	13	1	no	—
725	C₂²×C₄⋊C₄	—	13	2	no	—
726	C₂²×C₄⋊C₄	—	13	2	no	—
727	C₂²×C₂²⋊C₄	—	13	1	no	—
728	C₂²×C₂²⋊C₄	—	13	1	no	—
729	C₂²×C₂²⋊C₄	—	13	2	no	—
730	C₂²×C₄²	—	13	1	no	—
731	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic
732	C₂²×C₁₃	—	2	2	no	—
733	C₂²×C₁₃	—	2	2	no	—
734	C₂²×C₁₃	—	2	8	no	—
735	C₂²×C₁₃	C₂²×#41	1	2	yes	—
736	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
737	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
738	C₂²×C₁₃	#585	1	2	yes	—
739	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
740	C₂×D₁₃	—	2	2	no	—
741	C₂×D₁₃	—	2	2	no	—
742	C₂×D₁₃	—	2	8	no	—
743	C₂×D₁₃	—	2	2	no	—
744	C₂×D₁₃	—	2	4	no	—
745	C₂×D₁₃	—	2	4	no	—
746	C₂×D₁₃	—	2	2	no	—
747	C₂×D₁₃	—	2	4	no	—
748	C₂×D₁₃	—	2	2	no	—
749	C₂×D₁₃	—	4	16	no	—
750	C₂×D₁₃	—	4	8	no	—
751	C₂×D₁₃	—	4	4	no	—
752	C₂×D₁₃	C₂²×#41	1	4	yes	—
753	C₄×C₁₃	—	2	4	no	—
754	C₄×C₁₃	—	2	2	no	—
755	C₄×C₁₃	—	2	4	no	—
756	C₄×C₁₃	—	2	2	no	—
757	C₄×C₁₃	—	2	2	no	—
758	C₄×C₁₃	—	2	4	no	—
759	C₄×C₁₃	—	2	2	no	—
760	C₄×C₁₃	—	2	4	no	—
761	C₄×C₁₃	—	2	2	no	—
762	C₄×C₁₃	C₂²×#41	1	4	yes	—
763	Dic₁₃	—	2	4	no	—
764	Dic₁₃	—	2	2	no	—
765	Dic₁₃	—	2	2	no	—
766	Dic₁₃	—	2	2	no	—
767	Dic₁₃	—	2	4	no	—
768	Dic₁₃	—	2	2	no	—
769	Dic₁₃	—	2	4	no	—
770	Dic₁₃	—	2	2	no	—
771	Dic₁₃	C₂²×#41	1	4	yes	—
772	C₂⁵	—	13	1	no	—
773	C₂×#41	—	13	8	no	—
774	C₂×#41	—	26	8	no	—
775	C₂²×Q₈	—	13	8	no	—
776	C₂²×Q₈	—	13	2	no	—
777	C₂²×Q₈	—	13	1	no	—
778	C₂²×Q₈	—	13	2	no	—
779	C₂²×Q₈	—	26	8	no	—
780	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
781	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
782	C₂²×Q₈	C₂²×D₁₃	1	2	yes	—
783	C₂²×D₄	—	13	2	no	—
784	C₂²×D₄	—	13	2	no	—
785	C₂²×D₄	—	13	1	no	—
786	C₂²×D₄	—	13	2	no	—
787	C₂³×C₄	—	13	1	no	—
788	C₂³×C₄	—	13	1	no	—
789	C₂³×C₄	—	13	1	no	—
790	C₂³×C₄	—	13	1	no	—
791	C₂³×C₄	—	13	2	no	—
792	C₂³×C₄	—	13	1	no	—
793	C₂³×C₄	—	13	2	no	—
794	C₂³×C₄	—	13	1	no	—
795	C₂³×C₄	—	13	1	no	—
796	C₂³×C₄	—	13	8	no	—
797	C₂³×C₄	—	13	2	no	—
798	C₂³×C₄	—	13	2	no	—
799	C₂³×C₄	—	13	2	no	—
800	C₂³×C₄	—	26	8	no	—
801	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
802	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
803	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
804	C₄⋊Q₈	—	13	8	no	—
805	C₄⋊Q₈	—	13	16	no	—
806	C₄⋊Q₈	—	13	8	no	—
807	C₄⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
808	C₄⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
809	#126	—	13	16	no	—
810	#126	—	13	16	no	—
811	#126	—	13	16	no	—
812	#126	—	13	16	no	—
813	#126	—	13	16	no	—
814	#126	—	13	16	no	—
815	#126	—	13	16	no	—
816	#126	—	13	16	no	—
817	#125	—	13	8	no	—
818	#125	—	13	16	no	—
819	#125	—	13	16	no	—
820	#125	—	13	16	no	—
821	#125	—	13	16	no	—
822	#125	—	13	16	no	—
823	#125	—	13	8	no	—
824	#125	—	13	16	no	—
825	#125	C₂²×D₁₃	1	16	yes	complemented
826	#124	—	13	8	no	—
827	#124	—	13	16	no	—
828	#124	—	13	8	no	—
829	#124	—	13	16	no	—
830	#123	—	13	16	no	—
831	#123	—	13	16	no	—
832	#123	—	13	16	no	—
833	#123	—	13	16	no	—
834	#123	—	13	16	no	—
835	#123	—	13	16	no	—
836	#123	—	13	16	no	—
837	C₂²⋊Q₈	—	13	8	no	—
838	C₂²⋊Q₈	—	13	8	no	—
839	C₂²⋊Q₈	—	13	16	no	—
840	C₂²⋊Q₈	—	13	16	no	—
841	C₂²⋊Q₈	—	13	8	no	—
842	C₂²⋊Q₈	—	13	8	no	—
843	C₂²⋊Q₈	—	13	16	no	—
844	C₂²⋊Q₈	—	13	16	no	—
845	C₂²⋊Q₈	—	13	16	no	—
846	C₂²⋊Q₈	—	13	16	no	—
847	C₂²⋊Q₈	—	13	16	no	—
848	C₂²⋊Q₈	—	13	16	no	—
849	C₂²⋊Q₈	—	13	16	no	—
850	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	—
851	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	—
852	C₂²⋊Q₈	C₂²×D₁₃	1	16	yes	—
853	#121	—	13	8	no	—
854	#121	—	13	8	no	—
855	#120	—	13	16	no	—
856	C₄×Q₈	—	13	8	no	—
857	C₄×Q₈	—	13	8	no	—
858	C₄×Q₈	—	13	8	no	—
859	C₄×Q₈	—	13	16	no	—
860	C₄×Q₈	—	13	16	no	—
861	C₄×Q₈	—	13	8	no	—
862	C₄×Q₈	—	13	16	no	—
863	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
864	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
865	C₄×Q₈	C₂²×D₁₃	1	16	yes	complemented
866	C₄×D₄	—	13	16	no	—
867	C₄×D₄	—	13	8	no	—
868	C₄×D₄	—	13	16	no	—
869	C₄×D₄	—	13	16	no	—
870	C₄×D₄	—	13	16	no	—
871	C₄×D₄	—	13	16	no	—
872	C₄×D₄	—	13	8	no	—
873	C₄×D₄	—	13	16	no	—
874	#117	—	13	8	no	—
875	#117	—	13	16	no	—
876	#117	—	13	16	no	—
877	#117	—	13	16	no	—
878	#117	—	13	8	no	—
879	#117	—	13	8	no	—
880	#117	—	13	8	no	—
881	#117	—	13	8	no	—
882	#117	—	13	8	no	—
883	#117	—	13	8	no	—
884	#117	—	13	8	no	—
885	#117	—	13	8	no	—
886	#117	—	13	16	no	—
887	#117	—	13	16	no	—
888	#117	—	13	16	no	—
889	#117	C₂²×D₁₃	1	16	yes	—
890	C₂×C₄⋊C₄	—	13	1	no	—
891	C₂×C₄⋊C₄	—	13	2	no	—
892	C₂×C₄⋊C₄	—	13	1	no	—
893	C₂×C₄⋊C₄	—	13	1	no	—
894	C₂×C₄⋊C₄	—	13	1	no	—
895	C₂×C₄⋊C₄	—	13	1	no	—
896	C₂×C₄⋊C₄	—	13	1	no	—
897	C₂×C₄⋊C₄	—	13	1	no	—
898	C₂×C₄⋊C₄	—	13	1	no	—
899	C₂×C₄⋊C₄	—	13	8	no	—
900	C₂×C₄⋊C₄	—	13	8	no	—
901	C₂×C₄⋊C₄	—	13	2	no	—
902	C₂×C₄⋊C₄	—	13	1	no	—
903	C₂×C₄⋊C₄	—	13	2	no	—
904	C₂×C₄⋊C₄	—	13	2	no	—
905	C₂×C₄⋊C₄	—	13	2	no	—
906	C₂×C₄⋊C₄	—	13	1	no	—
907	C₂×C₄⋊C₄	—	13	2	no	—
908	C₂×C₄⋊C₄	—	13	2	no	—
909	C₂×C₄⋊C₄	—	13	2	no	—
910	C₂×C₄⋊C₄	—	13	2	no	—
911	C₂×C₄⋊C₄	—	13	2	no	—
912	C₂×C₄⋊C₄	—	13	2	no	—
913	C₂×C₄⋊C₄	—	13	2	no	—
914	C₂×C₄⋊C₄	—	13	2	no	—
915	C₂×C₄⋊C₄	—	13	2	no	—
916	C₂×C₄⋊C₄	—	13	2	no	—
917	C₂×C₄⋊C₄	—	13	2	no	—
918	C₂×C₄⋊C₄	—	13	8	no	—
919	C₂×C₄⋊C₄	—	13	16	no	—
920	C₂×C₄⋊C₄	—	13	16	no	—
921	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
922	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
924	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
925	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
926	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
927	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
928	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
929	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
930	C₂×C₂²⋊C₄	—	13	2	no	—
931	C₂×C₂²⋊C₄	—	13	1	no	—
932	C₂×C₂²⋊C₄	—	13	1	no	—
933	C₂×C₂²⋊C₄	—	13	1	no	—
934	C₂×C₂²⋊C₄	—	13	1	no	—
935	C₂×C₂²⋊C₄	—	13	1	no	—
936	C₂×C₂²⋊C₄	—	13	1	no	—
937	C₂×C₂²⋊C₄	—	13	1	no	—
938	C₂×C₂²⋊C₄	—	13	1	no	—
939	C₂×C₂²⋊C₄	—	13	8	no	—
940	C₂×C₂²⋊C₄	—	13	8	no	—
941	C₂×C₂²⋊C₄	—	13	2	no	—
942	C₂×C₂²⋊C₄	—	13	2	no	—
943	C₂×C₂²⋊C₄	—	13	2	no	—
944	C₂×C₂²⋊C₄	—	13	2	no	—
945	C₂×C₂²⋊C₄	—	13	2	no	—
946	C₂×C₂²⋊C₄	—	13	2	no	—
947	C₂×C₂²⋊C₄	—	13	2	no	—
948	C₂×C₂²⋊C₄	—	13	2	no	—
949	C₂×C₂²⋊C₄	—	13	2	no	—
950	C₂×C₂²⋊C₄	—	13	2	no	—
951	C₂×C₂²⋊C₄	—	13	2	no	—
952	C₂×C₂²⋊C₄	—	13	2	no	—
953	C₂×C₂²⋊C₄	—	13	16	no	—
954	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
955	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
956	C₂×C₄²	—	13	1	no	—
957	C₂×C₄²	—	13	1	no	—
958	C₂×C₄²	—	13	2	no	—
959	C₂×C₄²	—	13	2	no	—
960	C₂×C₄²	—	13	2	no	—
961	C₂×C₄²	—	13	2	no	—
962	C₂×C₄²	—	13	1	no	—
963	C₂×C₄²	—	13	1	no	—
964	C₂×C₄²	—	13	8	no	—
965	C₂×C₄²	—	13	2	no	—
966	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
967	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
968	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
969	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
970	C₂×C₄²	C₂²×D₁₃	1	8	yes	—
971	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
972	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
973	C₂×C₁₃	—	2	4	no	—
974	C₂×C₁₃	#3495	1	4	yes	complemented
975	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
976	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
977	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
978	D₁₃	—	2	4	no	—
979	D₁₃	—	4	4	no	—
980	D₁₃	—	4	2	no	—
981	C₂⁴	—	13	1	no	—
982	C₂⁴	—	13	1	no	—
983	C₂⁴	—	13	2	no	—
984	C₂⁴	—	13	4	no	—
985	C₂⁴	—	26	4	no	—
986	C₂⁴	—	26	4	no	—
987	C₂⁴	—	52	2	no	—
988	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
989	#41	—	26	32	no	—
990	C₂×Q₈	—	2	4	no	—
991	C₂×Q₈	—	2	4	no	—
992	C₂×Q₈	—	4	4	no	—
993	C₂×Q₈	—	13	8	no	—
994	C₂×Q₈	—	13	4	no	—
995	C₂×Q₈	—	13	8	no	—
996	C₂×Q₈	—	26	8	no	—
997	C₂×Q₈	—	26	32	no	—
998	C₂×Q₈	—	26	4	no	—
999	C₂×Q₈	—	52	4	no	—
1000	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1001	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1002	C₂×Q₈	C₂³×D₁₃	1	8	yes	—
1003	C₂×D₄	—	13	8	no	—
1004	C₂×D₄	—	13	8	no	—
1005	C₂×D₄	—	13	4	no	—
1006	C₂×D₄	—	13	8	no	—
1007	C₂×D₄	—	26	8	no	—
1008	C₂×D₄	—	26	8	no	—
1009	C₂×D₄	—	26	4	no	—
1010	C₂×D₄	—	52	4	no	—
1011	C₂²×C₄	—	2	4	no	—
1012	C₂²×C₄	—	2	4	no	—
1013	C₂²×C₄	—	4	2	no	—
1014	C₂²×C₄	—	13	1	no	—
1015	C₂²×C₄	—	13	8	no	—
1016	C₂²×C₄	—	13	4	no	—
1017	C₂²×C₄	—	13	4	no	—
1018	C₂²×C₄	—	13	4	no	—
1019	C₂²×C₄	—	13	1	no	—
1020	C₂²×C₄	—	13	1	no	—
1021	C₂²×C₄	—	13	2	no	—
1022	C₂²×C₄	—	13	1	no	—
1023	C₂²×C₄	—	13	2	no	—
1024	C₂²×C₄	—	13	1	no	—
1025	C₂²×C₄	—	13	2	no	—
1026	C₂²×C₄	—	13	1	no	—
1027	C₂²×C₄	—	13	4	no	—
1028	C₂²×C₄	—	13	8	no	—
1029	C₂²×C₄	—	13	4	no	—
1030	C₂²×C₄	—	13	8	no	—
1031	C₂²×C₄	—	13	4	no	—
1032	C₂²×C₄	—	13	4	no	—
1033	C₂²×C₄	—	13	8	no	—
1034	C₂²×C₄	—	13	8	no	—
1035	C₂²×C₄	—	13	8	no	—
1036	C₂²×C₄	—	26	4	no	—
1037	C₂²×C₄	—	26	32	no	—
1038	C₂²×C₄	—	26	8	no	—
1039	C₂²×C₄	—	26	4	no	—
1040	C₂²×C₄	—	26	8	no	—
1041	C₂²×C₄	—	26	4	no	—
1042	C₂²×C₄	—	26	4	no	—
1043	C₂²×C₄	—	26	4	no	—
1044	C₂²×C₄	—	52	4	no	—
1045	C₂²×C₄	—	52	4	no	—
1046	C₂²×C₄	—	52	4	no	—
1047	C₂²×C₄	—	52	2	no	—
1048	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1049	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1050	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1051	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1053	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1054	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1055	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1059	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1060	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1061	C₄⋊C₄	—	13	4	no	—
1062	C₄⋊C₄	—	13	8	no	—
1063	C₄⋊C₄	—	13	4	no	—
1064	C₄⋊C₄	—	13	4	no	—
1065	C₄⋊C₄	—	13	4	no	—
1066	C₄⋊C₄	—	13	4	no	—
1067	C₄⋊C₄	—	13	4	no	—
1068	C₄⋊C₄	—	13	4	no	—
1069	C₄⋊C₄	—	13	4	no	—
1070	C₄⋊C₄	—	13	8	no	—
1071	C₄⋊C₄	—	13	4	no	—
1072	C₄⋊C₄	—	13	8	no	—
1073	C₄⋊C₄	—	13	8	no	—
1074	C₄⋊C₄	—	13	8	no	—
1075	C₄⋊C₄	—	13	4	no	—
1076	C₄⋊C₄	—	13	8	no	—
1077	C₄⋊C₄	—	13	8	no	—
1078	C₄⋊C₄	—	13	8	no	—
1079	C₄⋊C₄	—	13	8	no	—
1080	C₄⋊C₄	—	13	8	no	—
1081	C₄⋊C₄	—	13	8	no	—
1082	C₄⋊C₄	—	13	8	no	—
1083	C₄⋊C₄	—	13	8	no	—
1084	C₄⋊C₄	—	13	8	no	—
1085	C₄⋊C₄	—	13	8	no	—
1086	C₄⋊C₄	—	13	8	no	—
1087	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1088	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1089	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1090	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1091	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1092	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1093	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1094	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1095	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1096	C₂²⋊C₄	—	13	8	no	—
1097	C₂²⋊C₄	—	13	4	no	—
1098	C₂²⋊C₄	—	13	4	no	—
1099	C₂²⋊C₄	—	13	4	no	—
1100	C₂²⋊C₄	—	13	4	no	—
1101	C₂²⋊C₄	—	13	4	no	—
1102	C₂²⋊C₄	—	13	4	no	—
1103	C₂²⋊C₄	—	13	4	no	—
1104	C₂²⋊C₄	—	13	4	no	—
1105	C₂²⋊C₄	—	13	8	no	—
1106	C₂²⋊C₄	—	13	8	no	—
1107	C₂²⋊C₄	—	13	8	no	—
1108	C₂²⋊C₄	—	13	8	no	—
1109	C₂²⋊C₄	—	13	8	no	—
1110	C₂²⋊C₄	—	13	8	no	—
1111	C₂²⋊C₄	—	13	8	no	—
1112	C₂²⋊C₄	—	13	8	no	—
1113	C₂²⋊C₄	—	13	8	no	—
1114	C₂²⋊C₄	—	13	8	no	—
1115	C₂²⋊C₄	—	13	8	no	—
1116	C₂²⋊C₄	—	13	8	no	—
1117	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1118	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1119	C₄²	—	13	4	no	—
1120	C₄²	—	13	4	no	—
1121	C₄²	—	13	4	no	—
1122	C₄²	—	13	4	no	—
1123	C₄²	—	13	8	no	—
1124	C₄²	—	13	8	no	—
1125	C₄²	—	13	8	no	—
1126	C₄²	—	13	8	no	—
1127	C₄²	—	13	8	no	—
1128	C₄²	C₂³×D₁₃	1	4	yes	—
1129	C₄²	C₂³×D₁₃	1	4	yes	—
1130	C₄²	C₂³×D₁₃	1	4	yes	—
1131	C₄²	C₂³×D₁₃	1	4	yes	—
1132	C₄²	C₂³×D₁₃	1	8	yes	—
1133	C₄²	C₂³×D₁₃	1	8	yes	—
1134	C₁₃	C₂×#3495	1	1	yes	characteristic, complemented, Sylow
1135	C₂³	—	2	2	no	—
1136	C₂³	—	2	2	no	—
1137	C₂³	—	13	4	no	—
1138	C₂³	—	13	2	no	—
1139	C₂³	—	13	2	no	—
1140	C₂³	—	13	4	no	—
1141	C₂³	—	26	8	no	—
1142	C₂³	—	26	2	no	—
1143	C₂³	—	26	2	no	—
1144	C₂³	—	26	4	no	—
1145	C₂³	—	26	8	no	—
1146	C₂³	—	26	2	no	—
1147	C₂³	—	26	2	no	—
1148	C₂³	—	26	4	no	—
1149	C₂³	—	26	4	no	—
1150	C₂³	—	26	2	no	—
1151	C₂³	—	52	4	no	—
1152	C₂³	—	52	16	no	—
1153	C₂³	#88254	1	4	yes	—
1154	C₂³	C₂⁴×D₁₃	1	2	yes	—
1155	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1156	Q₈	—	2	8	no	—
1157	Q₈	—	2	8	no	—
1158	Q₈	—	4	8	no	—
1159	Q₈	—	26	16	no	—
1160	Q₈	—	26	8	no	—
1161	Q₈	—	52	8	no	—
1162	D₄	—	26	16	no	—
1163	D₄	—	26	16	no	—
1164	D₄	—	26	8	no	—
1165	D₄	—	52	8	no	—
1166	C₂×C₄	—	2	8	no	—
1167	C₂×C₄	—	2	2	no	—
1168	C₂×C₄	—	2	2	no	—
1169	C₂×C₄	—	2	2	no	—
1170	C₂×C₄	—	2	4	no	—
1171	C₂×C₄	—	2	4	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	2	4	no	—
1175	C₂×C₄	—	2	4	no	—
1176	C₂×C₄	—	2	8	no	—
1177	C₂×C₄	—	4	4	no	—
1178	C₂×C₄	—	13	4	no	—
1179	C₂×C₄	—	13	2	no	—
1180	C₂×C₄	—	13	16	no	—
1181	C₂×C₄	—	13	2	no	—
1182	C₂×C₄	—	13	2	no	—
1183	C₂×C₄	—	13	4	no	—
1184	C₂×C₄	—	13	2	no	—
1185	C₂×C₄	—	13	4	no	—
1186	C₂×C₄	—	13	2	no	—
1187	C₂×C₄	—	13	4	no	—
1188	C₂×C₄	—	13	2	no	—
1189	C₂×C₄	—	26	8	no	—
1190	C₂×C₄	—	26	16	no	—
1191	C₂×C₄	—	26	8	no	—
1192	C₂×C₄	—	26	16	no	—
1193	C₂×C₄	—	26	8	no	—
1194	C₂×C₄	—	26	8	no	—
1195	C₂×C₄	—	26	2	no	—
1196	C₂×C₄	—	26	2	no	—
1197	C₂×C₄	—	26	4	no	—
1198	C₂×C₄	—	26	2	no	—
1199	C₂×C₄	—	26	4	no	—
1200	C₂×C₄	—	26	2	no	—
1201	C₂×C₄	—	26	4	no	—
1202	C₂×C₄	—	26	2	no	—
1203	C₂×C₄	—	26	8	no	—
1204	C₂×C₄	—	52	8	no	—
1205	C₂×C₄	—	52	8	no	—
1206	C₂×C₄	—	52	8	no	—
1207	C₂×C₄	—	52	4	no	—
1208	C₂×C₄	#41×D₁₃	1	4	yes	—
1209	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1210	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1211	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1212	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1213	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1214	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1215	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1216	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1217	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1218	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1219	C₂²	—	2	8	no	—
1220	C₂²	—	2	2	no	—
1221	C₂²	—	2	2	no	—
1222	C₂²	—	13	4	no	—
1223	C₂²	—	26	8	no	—
1224	C₂²	—	26	2	no	—
1225	C₂²	—	26	2	no	—
1226	C₂²	—	26	2	no	—
1227	C₂²	—	26	4	no	—
1228	C₂²	—	26	4	no	—
1229	C₂²	—	26	2	no	—
1230	C₂²	—	26	4	no	—
1231	C₂²	—	26	2	no	—
1232	C₂²	—	52	16	no	—
1233	C₂²	—	52	8	no	—
1234	C₂²	—	52	4	no	—
1235	C₂²	C₂×#88254	1	4	yes	—
1236	C₂²	C₂×#88254	1	2	yes	—
1237	C₂²	C₂×#41×D₁₃	1	2	yes	—
1238	C₂²	#11719648	1	2	yes	—
1239	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1240	C₄	—	2	2	no	—
1241	C₄	—	2	4	no	—
1242	C₄	—	2	4	no	—
1243	C₄	—	2	2	no	—
1244	C₄	—	2	2	no	—
1245	C₄	—	2	2	no	—
1246	C₄	—	2	2	no	—
1247	C₄	—	2	4	no	—
1248	C₄	—	2	4	no	—
1249	C₄	—	13	4	no	—
1250	C₄	—	26	2	no	—
1251	C₄	—	26	4	no	—
1252	C₄	—	26	2	no	—
1253	C₄	—	26	2	no	—
1254	C₄	—	26	4	no	—
1255	C₄	—	26	2	no	—
1256	C₄	—	26	4	no	—
1257	C₄	—	26	2	no	—
1258	C₄	C₂×#41×D₁₃	1	4	yes	—
1259	C₂	—	2	4	no	—
1260	C₂	—	26	4	no	—
1261	C₂	—	52	2	no	—
1262	C₂	—	52	4	no	—
1263	C₂	#13128583	1	4	yes	direct product factor
1264	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1265	C₂	C₂²×#88254	1	1	yes	characteristic
1266	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×#533	C₂
socle	C₂³×C₁₃	C₂⁵
prime radical	C₂×#11719332	C₂
hypercenter	C₂×#533	D₁₃
hypocenter	C₁₃	C₂×#3495
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#533

Complements

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

N	H ≅ G/N	type
1. #13128583	C₂	direct (N × H)
2. C₂×#11719273	C₂	semidirect
3. C₂×#11719341	C₂	semidirect
4. C₂×#11719286	C₂	semidirect
5. C₂×#11719236	C₂	semidirect
6. C₂×#11719398	C₂	semidirect
7. C₂×#11719398	C₂	semidirect
8. C₂×#11719342	C₂	semidirect
9. C₂×#11719232	C₂	semidirect
10. C₂×#11719434	C₂	semidirect
11. C₂×#11719438	C₂	semidirect
12. C₂×#11719287	C₂	semidirect
13. C₂×#11719436	C₂	semidirect
14. C₂×#11719288	C₂	semidirect
15. C₂×#11719429	C₂	semidirect
16. C₂×#11719327	C₂	semidirect
17. C₂×#11719329	C₂	semidirect
18. C₂×#11719184	C₂	semidirect
20. C₂×D₁₃×C₂²⋊Q₈	C₂	semidirect
21. C₂×#11719279	C₂	semidirect
22. C₂×#11719277	C₂	semidirect
23. C₂²×#88126	C₂	semidirect
24. C₂×C₁₃×#533	C₂	semidirect
28. C₁₃×#533	C₂²	semidirect
29. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
30. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
31. C₂×C₁₃×#125	C₂²	semidirect
35. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
36. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
37. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
41. C₂×#88201	C₂²	semidirect
45. C₂×#88200	C₂²	semidirect
46. C₂×Q₈×Dic₁₃	C₂²	semidirect
47. C₂×Q₈×Dic₁₃	C₂²	semidirect
48. C₂×#88198	C₂²	semidirect
49. C₂×#88198	C₂²	semidirect
59. #11719438	C₂²	semidirect
60. #11719436	C₂²	semidirect
61. #11719434	C₂²	semidirect
62. #11719429	C₂²	semidirect
63. #11719398	C₂²	semidirect
64. #11719398	C₂²	semidirect
65. #11719342	C₂²	semidirect
66. #11719341	C₂²	semidirect
68. D₁₃×C₂²⋊Q₈	C₂²	semidirect
69. #11719329	C₂²	semidirect
70. #11719327	C₂²	semidirect
71. #11719288	C₂²	semidirect
72. #11719287	C₂²	semidirect
73. #11719286	C₂²	semidirect
74. #11719279	C₂²	semidirect
75. #11719277	C₂²	semidirect
76. #11719273	C₂²	semidirect
77. #11719236	C₂²	semidirect
78. #11719232	C₂²	semidirect
82. C₂×#88152	C₂²	semidirect
83. C₂×#88152	C₂²	semidirect
87. C₂×#88150	C₂²	semidirect
88. C₂×#88150	C₂²	semidirect
89. C₂×#88150	C₂²	semidirect
98. C₂×#88147	C₂²	semidirect
101. C₂×#88146	C₂²	semidirect
104. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
105. C₂×#88144	C₂²	semidirect
106. C₂×#88143	C₂²	semidirect
107. C₂×#88143	C₂²	semidirect
108. C₂×#88143	C₂²	semidirect
109. C₂×#88143	C₂²	semidirect
110. C₂×#88143	C₂²	semidirect
111. C₂×#88142	C₂²	semidirect
112. C₂×#88141	C₂²	semidirect
113. C₂×#88141	C₂²	semidirect
114. C₂×#88141	C₂²	semidirect
123. #11719184	C₂²	semidirect
125. C₂×#88130	C₂²	semidirect
126. C₂×#88130	C₂²	semidirect
128. C₂×#88129	C₂²	semidirect
130. C₂×C₄×D₅₂	C₂²	semidirect
140. C₂×#88126	C₂²	semidirect
141. C₂×#88126	C₂²	semidirect
142. C₂×#88126	C₂²	semidirect
143. C₂×#88124	C₂²	semidirect
144. C₂×#88124	C₂²	semidirect
145. C₂×C₄×Dic₂₆	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
179. C₁₃×C₄⋊Q₈	C₂³	semidirect
180. C₁₃×C₄⋊Q₈	C₂³	semidirect
181. C₁₃×#125	C₂³	semidirect
185. C₄×Q₈×C₁₃	C₂³	semidirect
186. C₄×Q₈×C₁₃	C₂³	semidirect
187. C₄×Q₈×C₁₃	C₂³	semidirect
209. #88201	C₂³	semidirect
213. #88200	C₂³	semidirect
214. Q₈×Dic₁₃	C₂³	semidirect
215. Q₈×Dic₁₃	C₂³	semidirect
216. #88198	C₂³	semidirect
217. #88198	C₂³	semidirect
285. #88152	C₂³	semidirect
286. #88152	C₂³	semidirect
290. #88150	C₂³	semidirect
291. #88150	C₂³	semidirect
292. #88150	C₂³	semidirect
301. #88147	C₂³	semidirect
304. #88146	C₂³	semidirect
307. C₄⋊C₄×D₁₃	C₂³	semidirect
308. #88144	C₂³	semidirect
309. #88143	C₂³	semidirect
310. #88143	C₂³	semidirect
311. #88143	C₂³	semidirect
312. #88143	C₂³	semidirect
313. #88143	C₂³	semidirect
314. #88142	C₂³	semidirect
315. #88141	C₂³	semidirect
316. #88141	C₂³	semidirect
317. #88141	C₂³	semidirect
327. #88130	C₂³	semidirect
328. #88130	C₂³	semidirect
330. #88129	C₂³	semidirect
332. C₄×D₅₂	C₂³	semidirect
342. #88126	C₂³	semidirect
343. #88126	C₂³	semidirect
344. #88124	C₂³	semidirect
345. #88124	C₂³	semidirect
346. C₄×Dic₂₆	C₂³	semidirect
347. C₄×Dic₂₆	C₂³	semidirect
518. C₂×#533	D₁₃	semidirect
628. #533	C₂×D₁₃	semidirect
632. C₂×C₄⋊Q₈	C₂×D₁₃	semidirect
633. C₂×C₄⋊Q₈	C₂×D₁₃	semidirect
652. C₂×#125	C₂×D₁₃	semidirect
694. C₂×C₄×Q₈	C₂×D₁₃	semidirect
695. C₂×C₄×Q₈	C₂×D₁₃	semidirect
696. C₂×C₄×Q₈	C₂×D₁₃	semidirect
807. C₄⋊Q₈	C₂²×D₁₃	semidirect
808. C₄⋊Q₈	C₂²×D₁₃	semidirect
825. #125	C₂²×D₁₃	semidirect
863. C₄×Q₈	C₂²×D₁₃	semidirect
864. C₄×Q₈	C₂²×D₁₃	semidirect
865. C₄×Q₈	C₂²×D₁₃	semidirect
974. C₂×C₁₃	#3495	semidirect
1134. C₁₃	C₂×#3495	semidirect
1263. C₂	#13128583	direct (N × H)

Maximal subgroups

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

subgroup	index
#13128583	2
C₂×#11719273	2
C₂×#11719341	2
C₂×#11719286	2
C₂×#11719236	2
C₂×#11719398	2
C₂×#11719342	2
C₂×#11719232	2
C₂×#11719434	2
C₂×#11719438	2
C₂×#11719287	2
C₂×#11719436	2
C₂×#11719288	2
C₂×#11719429	2
C₂×#11719327	2
C₂×#11719329	2
C₂×#11719184	2
C₂×#11719332	2
C₂×D₁₃×C₂²⋊Q₈	2
C₂×#11719279	2
C₂×#11719277	2
C₂²×#88126	2
C₂×C₁₃×#533	2
C₂×#3495	13

Subgroups — C2×#13128583 #16771340

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13128583 #16771340