Subgroups — D₁₃×#3460 #16769710

Order 3328.

7994 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128259	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128258	C₂	1	1	yes	maximal, characteristic, complemented
3	#13128257	C₂	1	4	yes	maximal, complemented
4	#13128256	C₂	1	4	yes	maximal, complemented
5	#13128255	C₂	1	4	yes	maximal, complemented
6	#13128254	C₂	1	4	yes	maximal, complemented
7	#13128253	C₂	1	1	yes	maximal, characteristic, complemented
8	#13128252	C₂	1	2	yes	maximal, complemented
9	#13128251	C₂	1	4	yes	maximal, complemented
10	#13128250	C₂	1	4	yes	maximal, complemented
11	#13128249	C₂	1	2	yes	maximal, complemented
12	D₁₃×#544	C₂	1	1	yes	maximal, characteristic, complemented
13	D₁₃×#542	C₂	1	4	yes	maximal, complemented
14	D₁₃×#540	C₂	1	4	yes	maximal, complemented
15	D₁₃×#538	C₂	1	4	yes	maximal, complemented
16	D₁₃×#537	C₂	1	1	yes	maximal, characteristic, complemented
17	D₁₃×#535	C₂	1	2	yes	maximal, complemented
18	D₁₃×#532	C₂	1	4	yes	maximal, complemented
19	D₁₃×#529	C₂	1	4	yes	maximal, complemented
20	D₁₃×#525	C₂	1	4	yes	maximal, complemented
21	C₄×#41×D₁₃	C₂	1	2	yes	maximal, complemented
22	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3460	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₁₃	C₂²	1	2	yes	—
25	C₂×#41×D₁₃	C₂²	1	4	yes	complemented
26	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
27	C₂³×C₄×D₁₃	C₂²	1	2	yes	—
28	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#542	C₂²	1	4	yes	complemented
30	C₁₃×#540	C₂²	1	4	yes	complemented
31	C₁₃×#538	C₂²	1	4	yes	complemented
32	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#535	C₂²	1	2	yes	complemented
34	C₁₃×#532	C₂²	1	4	yes	complemented
35	C₁₃×#529	C₂²	1	4	yes	complemented
36	C₁₃×#525	C₂²	1	4	yes	complemented
37	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
38	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
39	#11719538	C₂²	1	2	yes	complemented
40	#11719537	C₂²	1	8	yes	complemented
41	#11719535	C₂²	1	2	yes	complemented
42	#11719533	C₂²	1	4	yes	complemented
43	#41×Dic₁₃	C₂²	1	2	yes	complemented
44	#11719510	C₂²	1	2	yes	complemented
45	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
46	#11719496	C₂²	1	4	yes	complemented
47	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
48	#11719438	C₂²	1	4	yes	complemented
49	#11719434	C₂²	1	4	yes	complemented
50	#11719430	C₂²	1	4	yes	complemented
51	D₁₃×C₄⋊Q₈	C₂²	1	4	yes	complemented
52	#11719424	C₂²	1	4	yes	complemented
53	#11719421	C₂²	1	4	yes	complemented
54	#11719420	C₂²	1	4	yes	complemented
55	D₁₃×#127	C₂²	1	4	yes	—
56	#11719415	C₂²	1	8	yes	complemented
57	#11719411	C₂²	1	8	yes	complemented
58	#11719409	C₂²	1	8	yes	complemented
59	D₁₃×#126	C₂²	1	8	yes	complemented
60	#11719403	C₂²	1	4	yes	complemented
61	#11719396	C₂²	1	4	yes	complemented
62	#11719394	C₂²	1	4	yes	complemented
63	D₁₃×#125	C₂²	1	4	yes	complemented
64	#11719387	C₂²	1	4	yes	complemented
65	#11719385	C₂²	1	4	yes	complemented
66	#11719383	C₂²	1	8	yes	complemented
67	#11719379	C₂²	1	4	yes	complemented
68	D₁₃×#124	C₂²	1	4	yes	—
69	D₁₃×#124	C₂²	1	8	yes	complemented
70	#11719374	C₂²	1	8	yes	complemented
71	#11719373	C₂²	1	8	yes	complemented
72	#11719368	C₂²	1	8	yes	complemented
73	#11719368	C₂²	1	8	yes	complemented
74	#11719367	C₂²	1	8	yes	complemented
75	#11719362	C₂²	1	8	yes	complemented
76	#11719361	C₂²	1	8	yes	complemented
77	D₁₃×#123	C₂²	1	8	yes	complemented
78	D₁₃×#123	C₂²	1	8	yes	complemented
79	#11719354	C₂²	1	8	yes	complemented
80	#11719349	C₂²	1	4	yes	complemented
81	#11719348	C₂²	1	4	yes	complemented
82	#11719345	C₂²	1	8	yes	complemented
83	#11719334	C₂²	1	4	yes	complemented
84	#11719332	C₂²	1	4	yes	complemented
85	#11719332	C₂²	1	4	yes	complemented
86	D₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
87	D₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
88	D₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
89	#11719329	C₂²	1	4	yes	complemented
90	#11719328	C₂²	1	4	yes	complemented
91	#11719324	C₂²	1	4	yes	complemented
92	#11719324	C₂²	1	4	yes	complemented
93	#11719322	C₂²	1	4	yes	complemented
94	#11719320	C₂²	1	8	yes	complemented
95	#11719320	C₂²	1	8	yes	complemented
96	#11719318	C₂²	1	8	yes	complemented
97	#11719313	C₂²	1	4	yes	complemented
98	#11719312	C₂²	1	4	yes	complemented
99	#11719312	C₂²	1	4	yes	complemented
100	#11719311	C₂²	1	4	yes	complemented
101	#11719311	C₂²	1	4	yes	complemented
102	D₁₃×#121	C₂²	1	4	yes	—
103	D₁₃×#121	C₂²	1	4	yes	—
104	D₁₃×#121	C₂²	1	4	yes	—
105	D₁₃×#121	C₂²	1	4	yes	complemented
106	D₁₃×#121	C₂²	1	4	yes	complemented
107	D₁₃×#121	C₂²	1	8	yes	complemented
108	#11719308	C₂²	1	4	yes	complemented
109	#11719305	C₂²	1	4	yes	complemented
110	#11719302	C₂²	1	4	yes	complemented
111	#11719301	C₂²	1	8	yes	complemented
112	#11719301	C₂²	1	4	yes	complemented
113	#11719301	C₂²	1	4	yes	complemented
114	#11719298	C₂²	1	8	yes	complemented
115	#11719297	C₂²	1	8	yes	complemented
116	D₁₃×#120	C₂²	1	8	yes	—
117	#11719291	C₂²	1	8	yes	complemented
118	#11719287	C₂²	1	4	yes	complemented
119	#11719285	C₂²	1	4	yes	complemented
120	C₄×#6131	C₂²	1	2	yes	complemented
121	C₄×#6131	C₂²	1	2	yes	complemented
122	C₄×Q₈×D₁₃	C₂²	1	2	yes	complemented
123	C₄×Q₈×D₁₃	C₂²	1	2	yes	complemented
124	#11719267	C₂²	1	4	yes	complemented
125	#11719267	C₂²	1	4	yes	complemented
126	#11719266	C₂²	1	4	yes	complemented
127	#11719265	C₂²	1	8	yes	complemented
128	#11719262	C₂²	1	4	yes	complemented
129	#11719253	C₂²	1	4	yes	complemented
130	#11719253	C₂²	1	8	yes	complemented
131	#11719253	C₂²	1	4	yes	complemented
132	#11719252	C₂²	1	8	yes	complemented
133	#11719252	C₂²	1	8	yes	complemented
134	C₄×D₄×D₁₃	C₂²	1	4	yes	—
135	C₄×D₄×D₁₃	C₂²	1	4	yes	—
136	C₄×D₄×D₁₃	C₂²	1	4	yes	—
137	C₄×D₄×D₁₃	C₂²	1	4	yes	—
138	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
139	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
140	C₄×D₄×D₁₃	C₂²	1	2	yes	complemented
141	C₄×D₄×D₁₃	C₂²	1	2	yes	complemented
142	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
143	#11719243	C₂²	1	8	yes	complemented
144	C₄×#6129	C₂²	1	2	yes	complemented
145	C₄×#6129	C₂²	1	2	yes	complemented
146	C₄×#6129	C₂²	1	4	yes	complemented
147	C₄×#6129	C₂²	1	4	yes	complemented
148	#11719240	C₂²	1	4	yes	complemented
149	#11719239	C₂²	1	4	yes	complemented
150	#11719233	C₂²	1	8	yes	complemented
151	#11719230	C₂²	1	2	yes	complemented
152	#11719229	C₂²	1	4	yes	complemented
153	#11719227	C₂²	1	4	yes	complemented
154	#11719227	C₂²	1	2	yes	complemented
155	D₁₃×#117	C₂²	1	2	yes	—
156	D₁₃×#117	C₂²	1	4	yes	complemented
157	D₁₃×#117	C₂²	1	4	yes	complemented
158	#11719224	C₂²	1	2	yes	complemented
159	#11719215	C₂²	1	1	yes	characteristic, complemented
160	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
161	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
162	#11719205	C₂²	1	1	yes	characteristic, complemented
163	#11719199	C₂²	1	4	yes	complemented
164	C₂×#88135	C₂²	1	2	yes	complemented
165	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
166	#11719184	C₂²	1	4	yes	complemented
167	#11719182	C₂²	1	4	yes	complemented
168	C₄×#6127	C₂²	1	4	yes	complemented
169	C₄×#6127	C₂²	1	2	yes	complemented
170	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
171	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
172	C₂×C₄²×D₁₃	C₂²	1	4	yes	complemented
173	C₂⁴×D₁₃	C₂³	1	2	yes	—
174	C₂×C₁₃×#41	C₂³	1	2	yes	—
175	C₂×C₁₃×#41	C₂³	1	4	yes	complemented
176	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
177	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
178	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
179	C₂³×Dic₁₃	C₂³	1	2	yes	—
180	#41×D₁₃	—	2	16	no	—
181	#41×D₁₃	—	4	16	no	—
182	C₂×#6131	C₂³	1	2	yes	—
183	C₂×#6131	C₂³	1	4	yes	complemented
184	C₂×Q₈×D₁₃	C₂³	1	2	yes	—
185	C₂×Q₈×D₁₃	C₂³	1	4	yes	—
186	C₂×#6129	C₂³	1	4	yes	—
187	C₂×#6129	C₂³	1	2	yes	—
188	C₂×#6129	C₂³	1	8	yes	complemented
189	C₂×#6129	C₂³	1	4	yes	complemented
190	C₂×D₄×D₁₃	—	2	8	no	—
191	C₂×D₄×D₁₃	C₂³	1	4	yes	—
192	C₂×D₄×D₁₃	C₂³	1	4	yes	—
193	C₂×D₄×D₁₃	C₂³	1	2	yes	—
194	C₂×D₄×D₁₃	C₂³	1	4	yes	—
195	C₂×D₄×D₁₃	C₂³	1	8	yes	—
196	C₂×D₄×D₁₃	C₂³	1	8	yes	—
197	C₂×D₄×D₁₃	C₂³	1	4	yes	—
198	C₂×#6127	C₂³	1	2	yes	—
199	C₂×#6127	C₂³	1	4	yes	—
200	C₂×#6127	C₂³	1	8	yes	complemented
201	C₂×#6127	C₂³	1	4	yes	complemented
202	C₂²×D₅₂	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₁₃	—	4	8	no	—
204	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
206	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
207	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
208	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
210	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
211	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
212	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
213	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
214	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
215	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
216	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
217	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	complemented
218	C₁₃×#127	C₂³	1	4	yes	—
219	C₁₃×#126	C₂³	1	8	yes	complemented
220	C₁₃×#125	C₂³	1	4	yes	complemented
221	C₁₃×#124	C₂³	1	4	yes	—
222	C₁₃×#124	C₂³	1	8	yes	complemented
223	C₁₃×#123	C₂³	1	8	yes	complemented
224	C₁₃×#123	C₂³	1	8	yes	complemented
225	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
226	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
227	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
228	C₁₃×#121	C₂³	1	4	yes	—
229	C₁₃×#121	C₂³	1	4	yes	—
230	C₁₃×#121	C₂³	1	4	yes	—
231	C₁₃×#121	C₂³	1	4	yes	complemented
232	C₁₃×#121	C₂³	1	8	yes	complemented
233	C₁₃×#121	C₂³	1	4	yes	complemented
234	C₁₃×#120	C₂³	1	8	yes	—
235	C₄×Q₈×C₁₃	C₂³	1	2	yes	complemented
236	C₄×Q₈×C₁₃	C₂³	1	2	yes	complemented
237	C₄×D₄×C₁₃	C₂³	1	4	yes	—
238	C₄×D₄×C₁₃	C₂³	1	4	yes	—
239	C₄×D₄×C₁₃	C₂³	1	4	yes	—
240	C₄×D₄×C₁₃	C₂³	1	4	yes	—
241	C₄×D₄×C₁₃	C₂³	1	2	yes	complemented
242	C₄×D₄×C₁₃	C₂³	1	2	yes	complemented
243	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
244	C₁₃×#117	C₂³	1	2	yes	—
245	C₁₃×#117	C₂³	1	4	yes	complemented
246	C₁₃×#117	C₂³	1	4	yes	complemented
247	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
249	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
250	C₂×C₄²×C₁₃	C₂³	1	4	yes	complemented
251	#88207	C₂³	1	8	yes	—
252	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
253	#88201	C₂³	1	4	yes	—
254	#88201	C₂³	1	8	yes	complemented
255	#88200	C₂³	1	4	yes	—
256	#88200	C₂³	1	4	yes	complemented
257	#88200	C₂³	1	4	yes	complemented
258	Q₈×Dic₁₃	C₂³	1	2	yes	complemented
259	Q₈×Dic₁₃	C₂³	1	2	yes	complemented
260	#88198	C₂³	1	8	yes	complemented
261	#88194	C₂³	1	4	yes	—
262	#88194	C₂³	1	4	yes	—
263	#88194	C₂³	1	8	yes	—
264	#88194	C₂³	1	8	yes	—
265	#88193	C₂³	1	8	yes	—
266	#88193	C₂³	1	8	yes	—
267	#88193	C₂³	1	8	yes	—
268	#88193	C₂³	1	8	yes	complemented
269	#88193	C₂³	1	8	yes	complemented
270	#88193	C₂³	1	8	yes	complemented
271	#88193	C₂³	1	8	yes	complemented
272	#88192	C₂³	1	4	yes	—
273	#88192	C₂³	1	4	yes	—
274	#88192	C₂³	1	4	yes	—
275	#88192	C₂³	1	4	yes	complemented
276	#88192	C₂³	1	8	yes	complemented
277	#88192	C₂³	1	4	yes	complemented
278	#88191	C₂³	1	8	yes	—
279	#88191	C₂³	1	8	yes	—
280	#88191	C₂³	1	8	yes	—
281	#88190	C₂³	1	4	yes	—
282	#88190	C₂³	1	8	yes	complemented
283	#88189	C₂³	1	8	yes	complemented
284	#88189	C₂³	1	8	yes	complemented
285	D₄×Dic₁₃	C₂³	1	4	yes	—
286	D₄×Dic₁₃	C₂³	1	4	yes	—
287	D₄×Dic₁₃	C₂³	1	4	yes	—
288	D₄×Dic₁₃	C₂³	1	4	yes	—
289	D₄×Dic₁₃	C₂³	1	2	yes	complemented
290	D₄×Dic₁₃	C₂³	1	2	yes	complemented
291	D₄×Dic₁₃	C₂³	1	8	yes	complemented
292	#88184	C₂³	1	4	yes	—
293	#88184	C₂³	1	4	yes	—
294	#88184	C₂³	1	4	yes	—
295	#88184	C₂³	1	4	yes	complemented
296	#88184	C₂³	1	8	yes	complemented
297	#88184	C₂³	1	4	yes	complemented
298	#88183	C₂³	1	8	yes	complemented
299	#88183	C₂³	1	8	yes	complemented
300	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
301	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
302	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
303	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
304	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
305	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
306	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
307	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
308	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
309	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
310	C₂×#6103	C₂³	1	2	yes	—
311	C₂×#6103	C₂³	1	2	yes	—
312	#88180	C₂³	1	2	yes	—
313	#88180	C₂³	1	4	yes	complemented
314	#88180	C₂³	1	4	yes	complemented
315	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
316	#88178	C₂³	1	4	yes	—
317	#88178	C₂³	1	4	yes	complemented
318	#88178	C₂³	1	4	yes	complemented
319	C₂×#6101	C₂³	1	2	yes	—
320	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
321	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
322	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
323	C₂×C₄×Dic₁₃	C₂³	1	4	yes	complemented
324	C₂×C₄×Dic₁₃	C₂³	1	4	yes	complemented
325	C₂×C₄×Dic₁₃	C₂³	1	4	yes	complemented
326	#88152	C₂³	1	8	yes	complemented
327	#88152	C₂³	1	8	yes	complemented
328	#88152	C₂³	1	8	yes	complemented
329	#88151	C₂³	1	4	yes	—
330	#88151	C₂³	1	4	yes	complemented
331	#88151	C₂³	1	4	yes	complemented
332	#88150	C₂³	1	8	yes	—
333	#88150	C₂³	1	8	yes	complemented
334	#88150	C₂³	1	8	yes	complemented
335	#88149	C₂³	1	4	yes	—
336	#88149	C₂³	1	4	yes	—
337	#88149	C₂³	1	4	yes	—
338	#88149	C₂³	1	4	yes	complemented
339	#88149	C₂³	1	8	yes	complemented
340	#88149	C₂³	1	4	yes	complemented
341	#88148	C₂³	1	8	yes	complemented
342	#88148	C₂³	1	8	yes	complemented
343	#88148	C₂³	1	8	yes	complemented
344	#88148	C₂³	1	8	yes	complemented
345	#88147	C₂³	1	4	yes	—
346	#88147	C₂³	1	4	yes	—
347	#88147	C₂³	1	4	yes	—
348	#88147	C₂³	1	4	yes	—
349	#88147	C₂³	1	2	yes	complemented
350	#88147	C₂³	1	8	yes	complemented
351	#88147	C₂³	1	2	yes	complemented
352	#88146	C₂³	1	2	yes	—
353	#88146	C₂³	1	2	yes	—
354	#88146	C₂³	1	4	yes	complemented
355	#88146	C₂³	1	4	yes	complemented
356	#88146	C₂³	1	4	yes	complemented
357	#88146	C₂³	1	4	yes	complemented
358	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
359	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
360	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
361	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
362	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
363	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
364	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
365	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
366	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
367	#88144	C₂³	1	4	yes	complemented
368	#88144	C₂³	1	4	yes	complemented
369	#88143	C₂³	1	8	yes	complemented
370	#88143	C₂³	1	8	yes	complemented
371	#88142	C₂³	1	4	yes	complemented
372	#88142	C₂³	1	4	yes	complemented
373	#88142	C₂³	1	8	yes	complemented
374	#88141	C₂³	1	2	yes	complemented
375	#88141	C₂³	1	2	yes	complemented
376	#88141	C₂³	1	4	yes	complemented
377	#88141	C₂³	1	4	yes	complemented
378	#88140	C₂³	1	8	yes	complemented
379	#88140	C₂³	1	8	yes	complemented
380	#88139	C₂³	1	8	yes	—
381	#88139	C₂³	1	8	yes	—
382	#88139	C₂³	1	8	yes	complemented
383	#88139	C₂³	1	8	yes	complemented
384	#88139	C₂³	1	8	yes	complemented
385	#88139	C₂³	1	8	yes	complemented
386	#88138	C₂³	1	8	yes	—
387	#88138	C₂³	1	8	yes	—
388	#88138	C₂³	1	8	yes	—
389	#88138	C₂³	1	8	yes	complemented
390	#88138	C₂³	1	8	yes	complemented
391	#88138	C₂³	1	8	yes	complemented
392	#88138	C₂³	1	8	yes	complemented
393	#88137	C₂³	1	8	yes	complemented
394	#88137	C₂³	1	8	yes	complemented
395	#88137	C₂³	1	8	yes	complemented
396	#88137	C₂³	1	8	yes	complemented
397	#88136	C₂³	1	8	yes	—
398	#88136	C₂³	1	8	yes	—
399	#88136	C₂³	1	8	yes	—
400	#88135	C₂³	1	8	yes	—
401	#88135	C₂³	1	8	yes	—
402	#88135	C₂³	1	4	yes	—
403	#88135	C₂³	1	4	yes	—
404	#88135	C₂³	1	4	yes	—
405	#88135	C₂³	1	4	yes	—
406	#88135	C₂³	1	4	yes	complemented
407	#88135	C₂³	1	4	yes	complemented
408	#88135	C₂³	1	8	yes	complemented
409	#88135	C₂³	1	8	yes	complemented
410	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
411	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
412	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
413	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
414	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
415	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
416	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
417	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
418	#88133	C₂³	1	8	yes	complemented
419	#88133	C₂³	1	8	yes	complemented
420	#88133	C₂³	1	8	yes	complemented
421	#88132	C₂³	1	8	yes	—
422	#88132	C₂³	1	8	yes	complemented
423	#88132	C₂³	1	8	yes	complemented
424	#88131	C₂³	1	4	yes	—
425	#88131	C₂³	1	4	yes	complemented
426	#88131	C₂³	1	4	yes	complemented
427	#88131	C₂³	1	8	yes	complemented
428	#88130	C₂³	1	8	yes	complemented
429	#88129	C₂³	1	4	yes	—
430	#88129	C₂³	1	8	yes	complemented
431	#88128	C₂³	1	4	yes	—
432	C₄×D₅₂	C₂³	1	4	yes	—
433	C₄×D₅₂	C₂³	1	4	yes	—
434	C₄×D₅₂	C₂³	1	4	yes	—
435	C₄×D₅₂	C₂³	1	4	yes	—
436	C₄×D₅₂	C₂³	1	2	yes	complemented
437	C₄×D₅₂	C₂³	1	2	yes	complemented
438	C₄×D₅₂	C₂³	1	8	yes	complemented
439	#88126	C₂³	1	4	yes	—
440	#88126	C₂³	1	4	yes	complemented
441	#88126	C₂³	1	4	yes	complemented
442	#88126	C₂³	1	8	yes	complemented
443	C₄²×D₁₃	C₂³	1	4	yes	—
444	C₄²×D₁₃	C₂³	1	2	yes	—
445	C₄²×D₁₃	C₂³	1	2	yes	—
446	C₄²×D₁₃	C₂³	1	2	yes	—
447	C₄²×D₁₃	C₂³	1	2	yes	—
448	C₄²×D₁₃	C₂³	1	4	yes	—
449	C₄²×D₁₃	C₂³	1	4	yes	—
450	C₄²×D₁₃	C₂³	1	4	yes	complemented
451	C₄²×D₁₃	C₂³	1	4	yes	complemented
452	C₄²×D₁₃	C₂³	1	4	yes	complemented
453	C₄²×D₁₃	C₂³	1	4	yes	complemented
454	#88124	C₂³	1	4	yes	complemented
455	#88123	C₂³	1	4	yes	complemented
456	C₄×Dic₂₆	C₂³	1	2	yes	complemented
457	C₄×Dic₂₆	C₂³	1	4	yes	complemented
458	C₄×Dic₂₆	C₂³	1	2	yes	complemented
459	C₄×Dic₂₆	C₂³	1	4	yes	complemented
460	C₂×#3460	—	13	1	no	maximal, Sylow
461	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
462	C₂³×D₁₃	—	2	8	no	—
463	C₂³×D₁₃	—	4	4	no	—
464	C₂³×D₁₃	—	4	4	no	—
465	C₂³×D₁₃	C₂⁴	1	4	yes	—
466	C₂³×D₁₃	C₂⁴	1	4	yes	—
467	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
468	C₂³×D₁₃	C₂⁴	1	4	yes	—
469	C₂³×D₁₃	C₂⁴	1	2	yes	—
470	C₁₃×#41	—	2	8	no	—
471	C₁₃×#41	—	4	8	no	—
472	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
473	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
474	C₂×D₄×C₁₃	—	2	4	no	—
475	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
476	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
477	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
478	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
479	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
480	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
481	C₂²×C₄×C₁₃	—	4	4	no	—
482	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
484	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
485	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
486	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
488	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
489	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
490	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
491	C₂×C₂²⋊D₁₃	—	2	8	no	—
492	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
493	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
494	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
495	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
496	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
497	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
498	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
499	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
500	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
501	C₂²×Dic₁₃	—	4	4	no	—
502	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
503	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
504	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
505	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
506	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
507	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
508	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
509	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
510	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
511	#6131	—	2	8	no	—
512	#6131	—	4	8	no	—
513	Q₈×D₁₃	—	2	8	no	—
514	Q₈×D₁₃	—	4	8	no	—
515	#6129	—	2	16	no	—
516	#6129	—	2	8	no	—
517	#6129	—	4	8	no	—
518	#6129	—	4	16	no	—
519	D₄×D₁₃	—	2	16	no	—
520	D₄×D₁₃	—	2	16	no	—
521	D₄×D₁₃	—	2	8	no	—
522	D₄×D₁₃	—	2	16	no	—
523	D₄×D₁₃	—	4	16	no	—
524	D₄×D₁₃	—	4	8	no	—
525	D₄×D₁₃	—	4	16	no	—
526	#6127	—	2	8	no	—
527	#6127	—	2	16	no	—
528	#6127	—	4	16	no	—
529	#6127	—	4	8	no	—
530	C₂×D₅₂	—	2	4	no	—
531	C₂×D₅₂	C₂⁴	1	4	yes	—
532	C₂×D₅₂	C₂⁴	1	4	yes	—
533	C₂×D₅₂	C₂⁴	1	2	yes	—
534	C₂×D₅₂	C₂⁴	1	8	yes	—
535	C₂×D₅₂	C₂⁴	1	8	yes	—
536	C₂×D₅₂	C₂⁴	1	4	yes	—
537	C₂×C₄×D₁₃	—	2	16	no	—
538	C₂×C₄×D₁₃	—	2	4	no	—
539	C₂×C₄×D₁₃	—	2	16	no	—
540	C₂×C₄×D₁₃	—	2	16	no	—
541	C₂×C₄×D₁₃	—	4	8	no	—
542	C₂×C₄×D₁₃	—	4	4	no	—
543	C₂×C₄×D₁₃	—	4	8	no	—
544	C₂×C₄×D₁₃	—	4	4	no	—
545	C₂×C₄×D₁₃	—	4	8	no	—
546	C₂×C₄×D₁₃	—	4	4	no	—
547	C₂×C₄×D₁₃	—	4	2	no	—
548	C₂×C₄×D₁₃	—	4	8	no	—
549	C₂×C₄×D₁₃	#41	1	8	yes	complemented
550	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
551	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
552	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
553	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
554	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
555	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
556	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
558	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
559	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
560	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
561	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
562	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
563	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
564	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
565	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
566	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
567	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
568	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
569	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
570	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
571	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
572	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
573	C₂×Dic₂₆	C₂⁴	1	2	yes	—
574	C₂×Dic₂₆	C₂⁴	1	4	yes	—
575	C₂×Dic₂₆	C₂⁴	1	8	yes	—
576	C₂×Dic₂₆	C₂⁴	1	4	yes	—
577	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
578	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
579	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
580	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
581	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
582	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
583	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
584	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
585	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
586	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
587	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
588	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
589	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
590	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
591	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
592	C₄²×C₁₃	C₂⁴	1	2	yes	—
593	C₄²×C₁₃	C₂⁴	1	2	yes	—
594	C₄²×C₁₃	C₂⁴	1	4	yes	—
595	C₄²×C₁₃	C₂⁴	1	4	yes	—
596	C₄²×C₁₃	C₂⁴	1	4	yes	—
597	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
598	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
599	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
600	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
601	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
602	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
603	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
604	#6103	C₂⁴	1	4	yes	—
605	#6103	C₂⁴	1	4	yes	—
606	#6103	C₂⁴	1	4	yes	—
607	#6103	C₂⁴	1	4	yes	—
608	#6103	C₂⁴	1	4	yes	—
609	#6103	C₂⁴	1	4	yes	—
610	#6103	C₂⁴	1	8	yes	—
611	#6103	C₂⁴	1	8	yes	—
612	#6103	C₂⁴	1	8	yes	—
613	#6103	C₂⁴	1	8	yes	—
614	#6103	C₂⁴	1	8	yes	—
615	#6103	C₂⁴	1	8	yes	—
616	#6103	C₂⁴	1	8	yes	—
617	#6103	C₂⁴	1	8	yes	—
618	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
619	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
620	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
621	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
622	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
623	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
624	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
625	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
626	#6101	C₂⁴	1	4	yes	—
627	#6101	C₂⁴	1	4	yes	—
628	#6101	C₂⁴	1	4	yes	—
629	#6101	C₂⁴	1	4	yes	—
630	#6101	C₂⁴	1	4	yes	—
631	#6101	C₂⁴	1	4	yes	—
632	#6101	C₂⁴	1	8	yes	—
633	#6101	C₂⁴	1	8	yes	—
634	#6101	C₂⁴	1	8	yes	—
635	#6101	C₂⁴	1	8	yes	—
636	#6101	C₂⁴	1	8	yes	—
637	C₄×Dic₁₃	C₂⁴	1	2	yes	—
638	C₄×Dic₁₃	C₂⁴	1	2	yes	—
639	C₄×Dic₁₃	C₂⁴	1	4	yes	—
640	C₄×Dic₁₃	C₂⁴	1	4	yes	—
641	C₄×Dic₁₃	C₂⁴	1	2	yes	—
642	C₄×Dic₁₃	C₂⁴	1	2	yes	—
643	C₄×Dic₁₃	C₂⁴	1	2	yes	—
644	C₄×Dic₁₃	C₂⁴	1	2	yes	—
645	C₄×Dic₁₃	C₂⁴	1	4	yes	—
646	C₄×Dic₁₃	C₂⁴	1	4	yes	—
647	C₄×Dic₁₃	C₂⁴	1	4	yes	—
648	C₄×Dic₁₃	C₂⁴	1	4	yes	—
649	C₄×Dic₁₃	C₂⁴	1	4	yes	—
650	C₄×Dic₁₃	C₂⁴	1	4	yes	—
651	C₄×Dic₁₃	C₂⁴	1	4	yes	—
652	#3460	—	13	1	no	—
653	#3460	—	13	4	no	—
654	#3460	—	13	4	no	—
655	#3460	—	13	4	no	—
656	#3460	—	13	1	no	—
657	#3460	—	13	2	no	—
658	#3460	—	13	4	no	—
659	#3460	—	13	4	no	—
660	#3460	—	13	4	no	—
661	#3460	—	13	2	no	—
662	#3460	—	13	1	no	—
663	#3460	D₁₃	1	1	yes	characteristic, direct product factor
664	C₂×#544	—	13	1	no	—
665	C₂×#542	—	13	4	no	—
666	C₂×#540	—	13	4	no	—
667	C₂×#538	—	13	4	no	—
668	C₂×#537	—	13	1	no	—
669	C₂×#535	—	13	2	no	—
670	C₂×#532	—	13	4	no	—
671	C₂×#529	—	13	4	no	—
672	C₂×#525	—	13	4	no	—
673	C₂×C₄×#41	—	13	2	no	—
674	C₂²×C₄×D₄	—	13	1	no	—
675	C₂³×C₁₃	—	2	4	no	—
676	C₂³×C₁₃	—	4	2	no	—
677	C₂³×C₁₃	—	4	2	no	—
678	C₂³×C₁₃	C₂⁵	1	4	yes	—
679	C₂³×C₁₃	C₂⁵	1	4	yes	—
680	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
681	C₂²×D₁₃	—	2	2	no	—
682	C₂²×D₁₃	—	2	2	no	—
683	C₂²×D₁₃	—	2	4	no	—
684	C₂²×D₁₃	—	2	8	no	—
685	C₂²×D₁₃	—	2	8	no	—
686	C₂²×D₁₃	—	2	8	no	—
687	C₂²×D₁₃	—	2	8	no	—
688	C₂²×D₁₃	—	2	8	no	—
689	C₂²×D₁₃	—	2	8	no	—
690	C₂²×D₁₃	—	2	8	no	—
691	C₂²×D₁₃	—	4	4	no	—
692	C₂²×D₁₃	—	4	2	no	—
693	C₂²×D₁₃	—	4	4	no	—
694	C₂²×D₁₃	—	4	2	no	—
695	C₂²×D₁₃	—	4	32	no	—
696	C₂²×D₁₃	C₂×#41	1	4	yes	—
697	C₂²×D₁₃	C₂⁵	1	4	yes	—
698	C₂²×D₁₃	C₂⁵	1	4	yes	—
699	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
700	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
701	Q₈×C₁₃	—	2	4	no	—
702	Q₈×C₁₃	—	4	4	no	—
703	D₄×C₁₃	—	2	8	no	—
704	D₄×C₁₃	—	2	8	no	—
705	D₄×C₁₃	—	2	4	no	—
706	D₄×C₁₃	—	4	8	no	—
707	D₄×C₁₃	—	4	4	no	—
708	D₄×C₁₃	—	4	8	no	—
709	C₂×C₄×C₁₃	—	2	8	no	—
710	C₂×C₄×C₁₃	—	2	2	no	—
711	C₂×C₄×C₁₃	—	2	8	no	—
712	C₂×C₄×C₁₃	—	2	8	no	—
713	C₂×C₄×C₁₃	—	4	2	no	—
714	C₂×C₄×C₁₃	—	4	4	no	—
715	C₂×C₄×C₁₃	—	4	1	no	—
716	C₂×C₄×C₁₃	—	4	4	no	—
717	C₂×C₄×C₁₃	C₂×#41	1	4	yes	complemented
718	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
719	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
720	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
721	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
722	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
723	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
724	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
725	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
726	C₂²⋊D₁₃	—	2	8	no	—
727	C₂²⋊D₁₃	—	2	8	no	—
728	C₂²⋊D₁₃	—	2	8	no	—
729	C₂²⋊D₁₃	—	2	16	no	—
730	C₂²⋊D₁₃	—	4	8	no	—
731	C₂²⋊D₁₃	—	4	8	no	—
732	C₂²⋊D₁₃	—	4	8	no	—
733	C₂²⋊D₁₃	—	4	8	no	—
734	C₂²⋊D₁₃	—	4	8	no	—
735	C₂×Dic₁₃	—	2	8	no	—
736	C₂×Dic₁₃	—	2	2	no	—
737	C₂×Dic₁₃	—	2	8	no	—
738	C₂×Dic₁₃	—	2	8	no	—
739	C₂×Dic₁₃	—	4	2	no	—
740	C₂×Dic₁₃	—	4	4	no	—
741	C₂×Dic₁₃	—	4	1	no	—
742	C₂×Dic₁₃	—	4	4	no	—
743	C₂×Dic₁₃	C₂×#41	1	4	yes	complemented
744	C₂×Dic₁₃	C₂⁵	1	2	yes	—
745	C₂×Dic₁₃	C₂⁵	1	4	yes	—
746	C₂×Dic₁₃	C₂⁵	1	4	yes	—
747	C₂×Dic₁₃	C₂⁵	1	4	yes	—
748	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
749	C₂×Dic₁₃	C₂⁵	1	4	yes	—
750	C₂×Dic₁₃	C₂⁵	1	2	yes	—
751	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
752	D₅₂	—	2	8	no	—
753	D₅₂	—	2	8	no	—
754	D₅₂	—	2	4	no	—
755	D₅₂	—	4	8	no	—
756	D₅₂	—	4	4	no	—
757	D₅₂	—	4	8	no	—
758	C₄×D₁₃	—	2	8	no	—
759	C₄×D₁₃	—	2	2	no	—
760	C₄×D₁₃	—	2	8	no	—
761	C₄×D₁₃	—	2	8	no	—
762	C₄×D₁₃	—	2	4	no	—
763	C₄×D₁₃	—	2	8	no	—
764	C₄×D₁₃	—	2	8	no	—
765	C₄×D₁₃	—	2	2	no	—
766	C₄×D₁₃	—	2	8	no	—
767	C₄×D₁₃	—	2	8	no	—
768	C₄×D₁₃	—	2	8	no	—
769	C₄×D₁₃	—	2	2	no	—
770	C₄×D₁₃	—	2	8	no	—
771	C₄×D₁₃	—	2	8	no	—
772	C₄×D₁₃	—	4	4	no	—
773	C₄×D₁₃	—	4	4	no	—
774	C₄×D₁₃	—	4	4	no	—
775	C₄×D₁₃	—	4	2	no	—
776	C₄×D₁₃	—	4	4	no	—
777	C₄×D₁₃	—	4	4	no	—
778	C₄×D₁₃	C₂×#41	1	8	yes	—
779	C₄×D₁₃	C₂×#41	1	8	yes	complemented
780	C₄×D₁₃	H(5,𝔽₂)	1	4	yes	—
781	Dic₂₆	—	2	4	no	—
782	Dic₂₆	—	2	8	no	—
783	Dic₂₆	—	4	4	no	—
784	Dic₂₆	—	4	8	no	—
785	C₂²×#41	—	13	2	no	—
786	C₂²×#41	—	13	4	no	—
787	C₂³×D₄	—	13	1	no	—
788	C₂⁴×C₄	—	13	2	no	—
789	#544	—	13	4	no	—
790	#544	—	13	4	no	—
791	#544	—	13	4	no	—
792	#544	—	13	2	no	—
793	#544	—	13	1	no	—
794	#544	C₂×D₁₃	1	1	yes	characteristic, complemented
795	#542	—	13	4	no	—
796	#542	—	13	8	no	—
797	#542	—	13	4	no	—
798	#542	—	13	8	no	—
799	#542	—	13	8	no	—
800	#542	—	13	8	no	—
801	#542	—	13	4	no	—
802	#542	—	13	4	no	—
803	#542	—	13	4	no	—
804	#542	—	13	4	no	—
805	#542	—	13	4	no	—
806	#542	C₂×D₁₃	1	4	yes	complemented
807	#540	—	13	4	no	—
808	#540	—	13	4	no	—
809	#540	—	13	8	no	—
810	#540	—	13	8	no	—
811	#540	—	13	4	no	—
812	#540	—	13	8	no	—
813	#540	—	13	8	no	—
814	#540	—	13	4	no	—
815	#540	—	13	4	no	—
816	#540	—	13	4	no	—
817	#540	—	13	4	no	—
818	#540	C₂×D₁₃	1	4	yes	complemented
819	#538	—	13	8	no	—
820	#538	—	13	8	no	—
821	#538	—	13	8	no	—
822	#538	—	13	4	no	—
823	#538	—	13	4	no	—
824	#538	—	13	8	no	—
825	#538	—	13	8	no	—
826	#538	—	13	8	no	—
827	#538	—	13	4	no	—
828	#538	C₂×D₁₃	1	4	yes	complemented
829	#537	—	13	2	no	—
830	#537	—	13	4	no	—
831	#537	—	13	4	no	—
832	#537	—	13	4	no	—
833	#537	—	13	1	no	—
834	#537	C₂×D₁₃	1	1	yes	characteristic, complemented
835	#535	—	13	2	no	—
836	#535	—	13	2	no	—
837	#535	—	13	4	no	—
838	#535	—	13	4	no	—
839	#535	—	13	4	no	—
840	#535	—	13	4	no	—
841	#535	—	13	8	no	—
842	#535	—	13	2	no	—
843	#535	C₂×D₁₃	1	2	yes	complemented
844	#532	—	13	8	no	—
845	#532	—	13	4	no	—
846	#532	—	13	4	no	—
847	#532	—	13	8	no	—
848	#532	—	13	4	no	—
849	#532	—	13	4	no	—
850	#532	—	13	8	no	—
851	#532	—	13	4	no	—
852	#532	—	13	8	no	—
853	#532	—	13	4	no	—
854	#532	—	13	4	no	—
855	#532	C₂×D₁₃	1	4	yes	complemented
856	C₂×C₄⋊Q₈	—	13	4	no	—
857	C₂×#127	—	13	4	no	—
858	#529	—	13	8	no	—
859	#529	—	13	4	no	—
860	#529	—	13	4	no	—
861	#529	—	13	8	no	—
862	#529	—	13	4	no	—
863	#529	—	13	4	no	—
864	#529	—	13	4	no	—
865	#529	—	13	4	no	—
866	#529	—	13	8	no	—
867	#529	—	13	8	no	—
868	#529	—	13	4	no	—
869	#529	C₂×D₁₃	1	4	yes	complemented
870	C₂×#126	—	13	8	no	—
871	C₂×#125	—	13	4	no	—
872	C₂×#124	—	13	4	no	—
873	C₂×#124	—	13	8	no	—
874	#525	—	13	4	no	—
875	#525	—	13	4	no	—
876	#525	—	13	8	no	—
877	#525	—	13	4	no	—
878	#525	—	13	4	no	—
879	#525	—	13	4	no	—
880	#525	—	13	4	no	—
881	#525	—	13	8	no	—
882	#525	—	13	8	no	—
883	#525	—	13	8	no	—
884	#525	—	13	4	no	—
885	#525	C₂×D₁₃	1	4	yes	complemented
886	C₂×#123	—	13	8	no	—
887	C₂×#123	—	13	8	no	—
888	C₂×C₂²⋊Q₈	—	13	4	no	—
889	C₂×C₂²⋊Q₈	—	13	4	no	—
890	C₂×C₂²⋊Q₈	—	13	4	no	—
891	C₂×#121	—	13	4	no	—
892	C₂×#121	—	13	4	no	—
893	C₂×#121	—	13	4	no	—
894	C₂×#121	—	13	4	no	—
895	C₂×#121	—	13	4	no	—
896	C₂×#121	—	13	8	no	—
897	C₂×#120	—	13	8	no	—
898	C₄×#41	—	13	2	no	—
899	C₄×#41	—	13	2	no	—
900	C₄×#41	—	13	2	no	—
901	C₄×#41	—	13	4	no	—
902	C₄×#41	—	13	4	no	—
903	C₄×#41	—	13	2	no	—
904	C₄×#41	—	13	2	no	—
905	C₄×#41	—	13	2	no	—
906	C₄×#41	—	13	4	no	—
907	C₄×#41	—	13	2	no	—
908	C₄×#41	—	13	4	no	—
909	C₄×#41	C₂×D₁₃	1	2	yes	complemented
910	C₂×C₄×Q₈	—	13	2	no	—
911	C₂×C₄×Q₈	—	13	2	no	—
912	C₂×C₄×D₄	—	13	1	no	—
913	C₂×C₄×D₄	—	13	2	no	—
914	C₂×C₄×D₄	—	13	4	no	—
915	C₂×C₄×D₄	—	13	4	no	—
916	C₂×C₄×D₄	—	13	4	no	—
917	C₂×C₄×D₄	—	13	4	no	—
918	C₂×C₄×D₄	—	13	4	no	—
919	C₂×C₄×D₄	—	13	4	no	—
920	C₂×C₄×D₄	—	13	2	no	—
921	C₂×C₄×D₄	—	13	2	no	—
922	C₂×C₄×D₄	—	13	8	no	—
923	C₂×C₄×D₄	—	13	1	no	—
924	C₂×C₄×D₄	—	13	2	no	—
925	C₂×C₄×D₄	—	13	1	no	—
926	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
927	C₂×#117	—	13	2	no	—
928	C₂×#117	—	13	4	no	—
929	C₂×#117	—	13	4	no	—
930	C₂²×C₄⋊C₄	—	13	1	no	—
931	C₂²×C₂²⋊C₄	—	13	2	no	—
932	C₂²×C₄²	—	13	1	no	—
933	C₂²×C₄²	—	13	4	no	—
934	C₂²×C₁₃	—	2	1	no	—
935	C₂²×C₁₃	—	2	1	no	—
936	C₂²×C₁₃	—	2	4	no	—
937	C₂²×C₁₃	—	2	4	no	—
938	C₂²×C₁₃	—	2	4	no	—
939	C₂²×C₁₃	—	2	4	no	—
940	C₂²×C₁₃	—	2	4	no	—
941	C₂²×C₁₃	—	2	4	no	—
942	C₂²×C₁₃	—	4	8	no	—
943	C₂²×C₁₃	C₂²×#41	1	2	yes	—
944	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
945	C₂×D₁₃	—	2	1	no	—
946	C₂×D₁₃	—	2	1	no	—
947	C₂×D₁₃	—	2	8	no	—
948	C₂×D₁₃	—	2	4	no	—
949	C₂×D₁₃	—	2	4	no	—
950	C₂×D₁₃	—	2	4	no	—
951	C₂×D₁₃	—	2	4	no	—
952	C₂×D₁₃	—	2	4	no	—
953	C₂×D₁₃	—	2	4	no	—
954	C₂×D₁₃	—	4	16	no	—
955	C₂×D₁₃	—	4	8	no	—
956	C₂×D₁₃	—	4	16	no	—
957	C₂×D₁₃	—	4	16	no	—
958	C₂×D₁₃	C₂²×#41	1	2	yes	—
959	C₂×D₁₃	C₂²×#41	1	2	yes	—
960	C₂×D₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
961	C₂×D₁₃	#585	1	2	yes	—
962	C₄×C₁₃	—	2	4	no	—
963	C₄×C₁₃	—	2	4	no	—
964	C₄×C₁₃	—	2	4	no	—
965	C₄×C₁₃	—	2	1	no	—
966	C₄×C₁₃	—	2	2	no	—
967	C₄×C₁₃	—	2	4	no	—
968	C₄×C₁₃	C₂²×#41	1	4	yes	—
969	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
970	Dic₁₃	—	2	4	no	—
971	Dic₁₃	—	2	4	no	—
972	Dic₁₃	—	2	4	no	—
973	Dic₁₃	—	2	1	no	—
974	Dic₁₃	—	2	2	no	—
975	Dic₁₃	—	2	4	no	—
976	Dic₁₃	C₂²×#41	1	4	yes	—
977	Dic₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
978	C₂⁵	—	13	2	no	—
979	C₂×#41	—	13	2	no	—
980	C₂×#41	—	13	4	no	—
981	C₂×#41	—	13	4	no	—
982	C₂×#41	—	13	2	no	—
983	C₂×#41	—	13	4	no	—
984	C₂×#41	—	13	8	no	—
985	C₂×#41	—	13	4	no	—
986	C₂×#41	—	13	2	no	—
987	C₂×#41	—	13	4	no	—
988	C₂×#41	—	13	8	no	—
989	C₂×#41	—	26	16	no	—
990	C₂×#41	—	52	16	no	—
991	C₂×#41	C₂²×D₁₃	1	2	yes	—
992	C₂×#41	C₂²×D₁₃	1	4	yes	complemented
993	C₂²×Q₈	—	13	2	no	—
994	C₂²×Q₈	—	13	4	no	—
995	C₂²×D₄	—	13	2	no	—
996	C₂²×D₄	—	13	4	no	—
997	C₂²×D₄	—	13	4	no	—
998	C₂²×D₄	—	13	2	no	—
999	C₂²×D₄	—	13	4	no	—
1000	C₂²×D₄	—	13	8	no	—
1001	C₂²×D₄	—	13	8	no	—
1002	C₂²×D₄	—	13	4	no	—
1003	C₂²×D₄	—	13	1	no	—
1004	C₂²×D₄	—	26	8	no	—
1005	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1006	C₂³×C₄	—	13	1	no	—
1007	C₂³×C₄	—	13	2	no	—
1008	C₂³×C₄	—	13	4	no	—
1009	C₂³×C₄	—	13	4	no	—
1010	C₂³×C₄	—	13	1	no	—
1011	C₂³×C₄	—	13	4	no	—
1012	C₂³×C₄	—	13	1	no	—
1013	C₂³×C₄	—	13	2	no	—
1014	C₂³×C₄	—	13	4	no	—
1015	C₂³×C₄	—	13	4	no	—
1016	C₂³×C₄	—	13	2	no	—
1017	C₂³×C₄	—	13	4	no	—
1018	C₂³×C₄	—	13	2	no	—
1019	C₂³×C₄	—	13	4	no	—
1020	C₂³×C₄	—	52	8	no	—
1021	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
1022	C₄⋊Q₈	—	13	8	no	—
1023	C₄⋊Q₈	—	13	8	no	—
1024	C₄⋊Q₈	—	13	4	no	—
1025	C₄⋊Q₈	—	13	4	no	—
1026	C₄⋊Q₈	—	13	4	no	—
1027	C₄⋊Q₈	C₂²×D₁₃	1	4	yes	complemented
1028	#127	—	13	8	no	—
1029	#127	—	13	8	no	—
1030	#127	—	13	4	no	—
1031	#127	—	13	4	no	—
1032	#127	—	13	4	no	—
1033	#127	C₂²×D₁₃	1	4	yes	—
1034	#126	—	13	8	no	—
1035	#126	—	13	8	no	—
1036	#126	—	13	8	no	—
1037	#126	—	13	8	no	—
1038	#126	—	13	8	no	—
1039	#126	—	13	8	no	—
1040	#126	—	13	8	no	—
1041	#126	C₂²×D₁₃	1	8	yes	complemented
1042	#125	—	13	8	no	—
1043	#125	—	13	8	no	—
1044	#125	—	13	4	no	—
1045	#125	—	13	4	no	—
1046	#125	—	13	4	no	—
1047	#125	C₂²×D₁₃	1	4	yes	complemented
1048	#124	—	13	4	no	—
1049	#124	—	13	8	no	—
1050	#124	—	13	4	no	—
1051	#124	—	13	8	no	—
1052	#124	—	13	8	no	—
1053	#124	—	13	8	no	—
1054	#124	—	13	8	no	—
1055	#124	—	13	8	no	—
1056	#124	—	13	8	no	—
1057	#124	—	13	8	no	—
1058	#124	—	13	4	no	—
1059	#124	—	13	8	no	—
1060	#124	C₂²×D₁₃	1	4	yes	—
1061	#124	C₂²×D₁₃	1	8	yes	complemented
1062	#123	—	13	8	no	—
1063	#123	—	13	8	no	—
1064	#123	—	13	8	no	—
1065	#123	—	13	8	no	—
1066	#123	—	13	8	no	—
1067	#123	—	13	8	no	—
1068	#123	—	13	8	no	—
1069	#123	—	13	8	no	—
1070	#123	—	13	8	no	—
1071	#123	—	13	8	no	—
1072	#123	—	13	8	no	—
1073	#123	—	13	8	no	—
1074	#123	—	13	8	no	—
1075	#123	—	13	8	no	—
1076	#123	C₂²×D₁₃	1	8	yes	complemented
1077	#123	C₂²×D₁₃	1	8	yes	complemented
1078	C₂²⋊Q₈	—	13	4	no	—
1079	C₂²⋊Q₈	—	13	4	no	—
1080	C₂²⋊Q₈	—	13	4	no	—
1081	C₂²⋊Q₈	—	13	4	no	—
1082	C₂²⋊Q₈	—	13	4	no	—
1083	C₂²⋊Q₈	—	13	4	no	—
1084	C₂²⋊Q₈	—	13	8	no	—
1085	C₂²⋊Q₈	—	13	4	no	—
1086	C₂²⋊Q₈	—	13	8	no	—
1087	C₂²⋊Q₈	—	13	4	no	—
1088	C₂²⋊Q₈	—	13	8	no	—
1089	C₂²⋊Q₈	—	13	4	no	—
1090	C₂²⋊Q₈	—	13	8	no	—
1091	C₂²⋊Q₈	—	13	8	no	—
1092	C₂²⋊Q₈	—	13	8	no	—
1093	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	—
1094	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	complemented
1095	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	complemented
1096	#121	—	13	4	no	—
1097	#121	—	13	8	no	—
1098	#121	—	13	4	no	—
1099	#121	—	13	8	no	—
1100	#121	—	13	4	no	—
1101	#121	—	13	8	no	—
1102	#121	—	13	4	no	—
1103	#121	—	13	8	no	—
1104	#121	—	13	4	no	—
1105	#121	—	13	8	no	—
1106	#121	—	13	8	no	—
1107	#121	—	13	8	no	—
1108	#121	—	13	8	no	—
1109	#121	—	13	4	no	—
1110	#121	—	13	4	no	—
1111	#121	—	13	4	no	—
1112	#121	—	13	4	no	—
1113	#121	—	13	4	no	—
1114	#121	—	13	8	no	—
1115	#121	—	13	4	no	—
1116	#121	—	13	4	no	—
1117	#121	—	13	4	no	—
1118	#121	—	13	4	no	—
1119	#121	—	13	4	no	—
1120	#121	—	13	8	no	—
1121	#121	—	13	8	no	—
1122	#121	—	13	8	no	—
1123	#121	—	13	8	no	—
1124	#121	—	13	8	no	—
1125	#121	—	13	8	no	—
1126	#121	—	13	8	no	—
1127	#121	—	13	8	no	—
1128	#121	C₂²×D₁₃	1	4	yes	—
1129	#121	C₂²×D₁₃	1	4	yes	—
1130	#121	C₂²×D₁₃	1	4	yes	—
1131	#121	C₂²×D₁₃	1	4	yes	complemented
1132	#121	C₂²×D₁₃	1	4	yes	complemented
1133	#121	C₂²×D₁₃	1	8	yes	complemented
1134	#120	—	13	8	no	—
1135	#120	—	13	8	no	—
1136	#120	—	13	8	no	—
1137	#120	—	13	8	no	—
1138	#120	—	13	8	no	—
1139	#120	—	13	8	no	—
1140	#120	—	13	8	no	—
1141	#120	C₂²×D₁₃	1	8	yes	—
1142	C₄×Q₈	—	13	2	no	—
1143	C₄×Q₈	—	13	2	no	—
1144	C₄×Q₈	—	13	4	no	—
1145	C₄×Q₈	—	13	2	no	—
1146	C₄×Q₈	—	13	4	no	—
1147	C₄×Q₈	—	13	2	no	—
1148	C₄×Q₈	—	13	4	no	—
1149	C₄×Q₈	—	13	2	no	—
1150	C₄×Q₈	—	13	4	no	—
1151	C₄×Q₈	—	13	2	no	—
1152	C₄×Q₈	C₂²×D₁₃	1	2	yes	complemented
1153	C₄×Q₈	C₂²×D₁₃	1	2	yes	complemented
1154	C₄×D₄	—	13	4	no	—
1155	C₄×D₄	—	13	4	no	—
1156	C₄×D₄	—	13	4	no	—
1157	C₄×D₄	—	13	2	no	—
1158	C₄×D₄	—	13	4	no	—
1159	C₄×D₄	—	13	2	no	—
1160	C₄×D₄	—	13	8	no	—
1161	C₄×D₄	—	13	8	no	—
1162	C₄×D₄	—	13	8	no	—
1163	C₄×D₄	—	13	4	no	—
1164	C₄×D₄	—	13	4	no	—
1165	C₄×D₄	—	13	4	no	—
1166	C₄×D₄	—	13	4	no	—
1167	C₄×D₄	—	13	4	no	—
1168	C₄×D₄	—	13	4	no	—
1169	C₄×D₄	—	13	8	no	—
1170	C₄×D₄	—	13	8	no	—
1171	C₄×D₄	—	13	4	no	—
1172	C₄×D₄	—	13	4	no	—
1173	C₄×D₄	—	13	4	no	—
1174	C₄×D₄	—	13	2	no	—
1175	C₄×D₄	—	13	4	no	—
1176	C₄×D₄	—	13	2	no	—
1177	C₄×D₄	—	13	8	no	—
1178	C₄×D₄	—	13	8	no	—
1179	C₄×D₄	—	13	8	no	—
1180	C₄×D₄	—	13	4	no	—
1181	C₄×D₄	—	13	4	no	—
1182	C₄×D₄	—	13	4	no	—
1183	C₄×D₄	—	13	4	no	—
1184	C₄×D₄	—	13	4	no	—
1185	C₄×D₄	—	13	4	no	—
1186	C₄×D₄	—	13	8	no	—
1187	C₄×D₄	—	13	8	no	—
1188	C₄×D₄	—	13	4	no	—
1189	C₄×D₄	—	13	4	no	—
1190	C₄×D₄	—	13	4	no	—
1191	C₄×D₄	—	13	2	no	—
1192	C₄×D₄	—	13	4	no	—
1193	C₄×D₄	—	13	2	no	—
1194	C₄×D₄	—	13	8	no	—
1195	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1196	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1197	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1198	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1199	C₄×D₄	C₂²×D₁₃	1	2	yes	complemented
1200	C₄×D₄	C₂²×D₁₃	1	2	yes	complemented
1201	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1202	#117	—	13	2	no	—
1203	#117	—	13	4	no	—
1204	#117	—	13	4	no	—
1205	#117	—	13	2	no	—
1206	#117	—	13	2	no	—
1207	#117	—	13	4	no	—
1208	#117	—	13	4	no	—
1209	#117	—	13	4	no	—
1210	#117	—	13	4	no	—
1211	#117	—	13	4	no	—
1212	#117	—	13	4	no	—
1213	#117	—	13	4	no	—
1214	#117	—	13	8	no	—
1215	#117	—	13	4	no	—
1216	#117	—	13	4	no	—
1217	#117	—	13	4	no	—
1218	#117	—	13	8	no	—
1219	#117	C₂²×D₁₃	1	2	yes	—
1220	#117	C₂²×D₁₃	1	4	yes	complemented
1221	#117	C₂²×D₁₃	1	4	yes	complemented
1222	C₂×C₄⋊C₄	—	13	2	no	—
1223	C₂×C₄⋊C₄	—	13	1	no	—
1224	C₂×C₄⋊C₄	—	13	4	no	—
1225	C₂×C₄⋊C₄	—	13	4	no	—
1226	C₂×C₄⋊C₄	—	13	2	no	—
1227	C₂×C₄⋊C₄	—	13	2	no	—
1228	C₂×C₄⋊C₄	—	13	4	no	—
1229	C₂×C₄⋊C₄	—	13	4	no	—
1230	C₂×C₄⋊C₄	—	13	4	no	—
1231	C₂×C₄⋊C₄	—	13	4	no	—
1232	C₂×C₄⋊C₄	—	13	8	no	—
1233	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1234	C₂×C₂²⋊C₄	—	13	2	no	—
1235	C₂×C₂²⋊C₄	—	13	2	no	—
1236	C₂×C₂²⋊C₄	—	13	2	no	—
1237	C₂×C₂²⋊C₄	—	13	8	no	—
1238	C₂×C₂²⋊C₄	—	13	8	no	—
1239	C₂×C₂²⋊C₄	—	13	4	no	—
1240	C₂×C₂²⋊C₄	—	13	4	no	—
1241	C₂×C₂²⋊C₄	—	13	4	no	—
1242	C₂×C₂²⋊C₄	—	13	8	no	—
1243	C₂×C₂²⋊C₄	—	13	8	no	—
1244	C₂×C₂²⋊C₄	—	13	8	no	—
1245	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1246	C₂×C₄²	—	13	1	no	—
1247	C₂×C₄²	—	13	1	no	—
1248	C₂×C₄²	—	13	1	no	—
1249	C₂×C₄²	—	13	4	no	—
1250	C₂×C₄²	—	13	4	no	—
1251	C₂×C₄²	—	13	4	no	—
1252	C₂×C₄²	—	13	2	no	—
1253	C₂×C₄²	—	13	4	no	—
1254	C₂×C₄²	—	13	4	no	—
1255	C₂×C₄²	—	13	2	no	—
1256	C₂×C₄²	—	13	2	no	—
1257	C₂×C₄²	—	13	2	no	—
1258	C₂×C₄²	—	13	4	no	—
1259	C₂×C₄²	—	13	4	no	—
1260	C₂×C₄²	—	13	4	no	—
1261	C₂×C₄²	—	13	4	no	—
1262	C₂×C₄²	—	13	4	no	—
1263	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1264	C₂×C₄²	C₂²×D₁₃	1	4	yes	complemented
1265	C₂×C₁₃	—	2	2	no	—
1266	C₂×C₁₃	—	4	4	no	—
1267	C₂×C₁₃	—	4	4	no	—
1268	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1269	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1270	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1271	D₁₃	—	2	2	no	—
1272	D₁₃	—	4	4	no	—
1273	D₁₃	—	4	4	no	—
1274	D₁₃	#3460	1	4	yes	direct product factor
1275	C₂⁴	—	13	1	no	—
1276	C₂⁴	—	13	4	no	—
1277	C₂⁴	—	13	4	no	—
1278	C₂⁴	—	13	4	no	—
1279	C₂⁴	—	13	2	no	—
1280	C₂⁴	—	26	8	no	—
1281	C₂⁴	—	52	4	no	—
1282	C₂⁴	—	52	4	no	—
1283	C₂⁴	C₂³×D₁₃	1	2	yes	—
1284	#41	—	2	8	no	—
1285	#41	—	4	8	no	—
1286	#41	—	26	16	no	—
1287	#41	—	26	16	no	—
1288	#41	—	26	8	no	—
1289	#41	—	26	8	no	—
1290	#41	—	26	8	no	—
1291	#41	—	52	8	no	—
1292	#41	—	52	16	no	—
1293	#41	—	52	8	no	—
1294	#41	—	52	16	no	—
1295	#41	—	52	8	no	—
1296	C₂×Q₈	—	13	4	no	—
1297	C₂×Q₈	—	13	2	no	—
1298	C₂×Q₈	—	13	4	no	—
1299	C₂×Q₈	—	13	8	no	—
1300	C₂×Q₈	—	26	8	no	—
1301	C₂×Q₈	—	52	8	no	—
1302	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
1303	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1304	C₂×D₄	—	2	4	no	—
1305	C₂×D₄	—	13	4	no	—
1306	C₂×D₄	—	13	4	no	—
1307	C₂×D₄	—	13	8	no	—
1308	C₂×D₄	—	13	4	no	—
1309	C₂×D₄	—	13	8	no	—
1310	C₂×D₄	—	13	8	no	—
1311	C₂×D₄	—	13	8	no	—
1312	C₂×D₄	—	13	8	no	—
1313	C₂×D₄	—	13	8	no	—
1314	C₂×D₄	—	13	4	no	—
1315	C₂×D₄	—	13	4	no	—
1316	C₂×D₄	—	13	2	no	—
1317	C₂×D₄	—	13	8	no	—
1318	C₂×D₄	—	13	8	no	—
1319	C₂×D₄	—	13	4	no	—
1320	C₂×D₄	—	26	16	no	—
1321	C₂×D₄	—	26	16	no	—
1322	C₂×D₄	—	26	8	no	—
1323	C₂×D₄	—	26	8	no	—
1324	C₂×D₄	—	26	16	no	—
1325	C₂×D₄	—	26	4	no	—
1326	C₂×D₄	—	52	8	no	—
1327	C₂×D₄	—	52	16	no	—
1328	C₂×D₄	—	52	16	no	—
1329	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1330	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1331	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1332	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1333	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1334	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1335	C₂²×C₄	—	4	4	no	—
1336	C₂²×C₄	—	13	1	no	—
1337	C₂²×C₄	—	13	8	no	—
1338	C₂²×C₄	—	13	2	no	—
1339	C₂²×C₄	—	13	2	no	—
1340	C₂²×C₄	—	13	1	no	—
1341	C₂²×C₄	—	13	4	no	—
1342	C₂²×C₄	—	13	1	no	—
1343	C₂²×C₄	—	13	4	no	—
1344	C₂²×C₄	—	13	4	no	—
1345	C₂²×C₄	—	13	1	no	—
1346	C₂²×C₄	—	13	4	no	—
1347	C₂²×C₄	—	13	2	no	—
1348	C₂²×C₄	—	13	4	no	—
1349	C₂²×C₄	—	13	2	no	—
1350	C₂²×C₄	—	13	4	no	—
1351	C₂²×C₄	—	13	4	no	—
1352	C₂²×C₄	—	13	1	no	—
1353	C₂²×C₄	—	13	4	no	—
1354	C₂²×C₄	—	13	4	no	—
1355	C₂²×C₄	—	13	4	no	—
1356	C₂²×C₄	—	13	1	no	—
1357	C₂²×C₄	—	13	4	no	—
1358	C₂²×C₄	—	13	4	no	—
1359	C₂²×C₄	—	13	4	no	—
1360	C₂²×C₄	—	13	1	no	—
1361	C₂²×C₄	—	13	4	no	—
1362	C₂²×C₄	—	13	4	no	—
1363	C₂²×C₄	—	13	2	no	—
1364	C₂²×C₄	—	13	4	no	—
1365	C₂²×C₄	—	13	4	no	—
1366	C₂²×C₄	—	13	4	no	—
1367	C₂²×C₄	—	13	4	no	—
1368	C₂²×C₄	—	13	4	no	—
1369	C₂²×C₄	—	26	4	no	—
1370	C₂²×C₄	—	26	16	no	—
1371	C₂²×C₄	—	26	16	no	—
1372	C₂²×C₄	—	26	16	no	—
1373	C₂²×C₄	—	52	4	no	—
1374	C₂²×C₄	—	52	8	no	—
1375	C₂²×C₄	—	52	8	no	—
1376	C₂²×C₄	—	52	4	no	—
1377	C₂²×C₄	—	52	8	no	—
1378	C₂²×C₄	—	52	4	no	—
1379	C₂²×C₄	—	52	2	no	—
1380	C₂²×C₄	—	52	8	no	—
1381	C₂²×C₄	—	52	4	no	—
1382	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1383	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1384	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1385	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1386	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1387	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1388	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1389	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1390	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1391	C₄⋊C₄	—	13	8	no	—
1392	C₄⋊C₄	—	13	4	no	—
1393	C₄⋊C₄	—	13	4	no	—
1394	C₄⋊C₄	—	13	2	no	—
1395	C₄⋊C₄	—	13	4	no	—
1396	C₄⋊C₄	—	13	2	no	—
1397	C₄⋊C₄	—	13	4	no	—
1398	C₄⋊C₄	—	13	4	no	—
1399	C₄⋊C₄	—	13	4	no	—
1400	C₄⋊C₄	—	13	4	no	—
1401	C₄⋊C₄	—	13	4	no	—
1402	C₄⋊C₄	—	13	4	no	—
1403	C₄⋊C₄	—	13	8	no	—
1404	C₄⋊C₄	—	13	4	no	—
1405	C₄⋊C₄	—	13	8	no	—
1406	C₄⋊C₄	—	13	4	no	—
1407	C₄⋊C₄	—	13	8	no	—
1408	C₄⋊C₄	—	13	8	no	—
1409	C₄⋊C₄	—	13	8	no	—
1410	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1411	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1412	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1413	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1414	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1415	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1416	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1417	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1418	C₂²⋊C₄	—	13	8	no	—
1419	C₂²⋊C₄	—	13	4	no	—
1420	C₂²⋊C₄	—	13	4	no	—
1421	C₂²⋊C₄	—	13	4	no	—
1422	C₂²⋊C₄	—	13	8	no	—
1423	C₂²⋊C₄	—	13	8	no	—
1424	C₂²⋊C₄	—	13	8	no	—
1425	C₂²⋊C₄	—	13	8	no	—
1426	C₂²⋊C₄	—	13	8	no	—
1427	C₂²⋊C₄	—	13	4	no	—
1428	C₂²⋊C₄	—	13	4	no	—
1429	C₂²⋊C₄	—	13	4	no	—
1430	C₂²⋊C₄	—	13	4	no	—
1431	C₂²⋊C₄	—	13	4	no	—
1432	C₂²⋊C₄	—	13	4	no	—
1433	C₂²⋊C₄	—	13	8	no	—
1434	C₂²⋊C₄	—	13	8	no	—
1435	C₂²⋊C₄	—	13	8	no	—
1436	C₂²⋊C₄	—	13	8	no	—
1437	C₂²⋊C₄	—	13	8	no	—
1438	C₂²⋊C₄	—	13	8	no	—
1439	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1440	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1441	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1442	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1443	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1444	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1445	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1446	C₄²	—	13	2	no	—
1447	C₄²	—	13	2	no	—
1448	C₄²	—	13	4	no	—
1449	C₄²	—	13	4	no	—
1450	C₄²	—	13	2	no	—
1451	C₄²	—	13	2	no	—
1452	C₄²	—	13	2	no	—
1453	C₄²	—	13	4	no	—
1454	C₄²	—	13	4	no	—
1455	C₄²	—	13	4	no	—
1456	C₄²	—	13	4	no	—
1457	C₄²	—	13	4	no	—
1458	C₄²	—	13	4	no	—
1459	C₄²	—	13	2	no	—
1460	C₄²	—	13	4	no	—
1461	C₄²	C₂³×D₁₃	1	2	yes	—
1462	C₄²	C₂³×D₁₃	1	4	yes	—
1463	C₄²	C₂³×D₁₃	1	4	yes	—
1464	C₄²	C₂³×D₁₃	1	2	yes	—
1465	C₄²	C₂³×D₁₃	1	4	yes	—
1466	C₁₃	C₂×#3460	1	1	yes	characteristic, complemented, Sylow
1467	C₂³	—	2	4	no	—
1468	C₂³	—	4	2	no	—
1469	C₂³	—	4	2	no	—
1470	C₂³	—	13	1	no	—
1471	C₂³	—	13	4	no	—
1472	C₂³	—	13	1	no	—
1473	C₂³	—	13	4	no	—
1474	C₂³	—	13	4	no	—
1475	C₂³	—	26	2	no	—
1476	C₂³	—	26	2	no	—
1477	C₂³	—	26	8	no	—
1478	C₂³	—	26	8	no	—
1479	C₂³	—	26	8	no	—
1480	C₂³	—	26	8	no	—
1481	C₂³	—	26	8	no	—
1482	C₂³	—	26	8	no	—
1483	C₂³	—	26	8	no	—
1484	C₂³	—	26	4	no	—
1485	C₂³	—	52	2	no	—
1486	C₂³	—	52	4	no	—
1487	C₂³	—	52	2	no	—
1488	C₂³	—	52	4	no	—
1489	C₂³	—	52	32	no	—
1490	C₂³	C₂⁴×D₁₃	1	4	yes	—
1491	C₂³	C₂⁴×D₁₃	1	4	yes	—
1492	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1493	Q₈	—	2	4	no	—
1494	Q₈	—	4	4	no	—
1495	Q₈	—	26	8	no	—
1496	Q₈	—	26	4	no	—
1497	Q₈	—	52	4	no	—
1498	Q₈	—	52	8	no	—
1499	D₄	—	2	8	no	—
1500	D₄	—	2	8	no	—
1501	D₄	—	2	4	no	—
1502	D₄	—	4	8	no	—
1503	D₄	—	4	4	no	—
1504	D₄	—	4	8	no	—
1505	D₄	—	26	8	no	—
1506	D₄	—	26	16	no	—
1507	D₄	—	26	8	no	—
1508	D₄	—	26	8	no	—
1509	D₄	—	26	8	no	—
1510	D₄	—	26	8	no	—
1511	D₄	—	26	4	no	—
1512	D₄	—	52	8	no	—
1513	D₄	—	52	4	no	—
1514	D₄	—	52	8	no	—
1515	D₄	—	52	8	no	—
1516	D₄	—	52	8	no	—
1517	D₄	—	52	8	no	—
1518	D₄	—	52	8	no	—
1519	D₄	—	52	8	no	—
1520	C₂×C₄	—	2	8	no	—
1521	C₂×C₄	—	2	2	no	—
1522	C₂×C₄	—	2	8	no	—
1523	C₂×C₄	—	2	8	no	—
1524	C₂×C₄	—	4	4	no	—
1525	C₂×C₄	—	4	2	no	—
1526	C₂×C₄	—	4	1	no	—
1527	C₂×C₄	—	4	4	no	—
1528	C₂×C₄	—	13	4	no	—
1529	C₂×C₄	—	13	1	no	—
1530	C₂×C₄	—	13	2	no	—
1531	C₂×C₄	—	13	8	no	—
1532	C₂×C₄	—	13	8	no	—
1533	C₂×C₄	—	13	4	no	—
1534	C₂×C₄	—	13	2	no	—
1535	C₂×C₄	—	13	4	no	—
1536	C₂×C₄	—	13	4	no	—
1537	C₂×C₄	—	13	1	no	—
1538	C₂×C₄	—	13	4	no	—
1539	C₂×C₄	—	13	4	no	—
1540	C₂×C₄	—	26	2	no	—
1541	C₂×C₄	—	26	8	no	—
1542	C₂×C₄	—	26	8	no	—
1543	C₂×C₄	—	26	8	no	—
1544	C₂×C₄	—	26	2	no	—
1545	C₂×C₄	—	26	8	no	—
1546	C₂×C₄	—	26	8	no	—
1547	C₂×C₄	—	26	8	no	—
1548	C₂×C₄	—	26	4	no	—
1549	C₂×C₄	—	26	8	no	—
1550	C₂×C₄	—	26	2	no	—
1551	C₂×C₄	—	26	8	no	—
1552	C₂×C₄	—	26	8	no	—
1553	C₂×C₄	—	26	8	no	—
1554	C₂×C₄	—	26	8	no	—
1555	C₂×C₄	—	26	2	no	—
1556	C₂×C₄	—	26	8	no	—
1557	C₂×C₄	—	26	8	no	—
1558	C₂×C₄	—	52	2	no	—
1559	C₂×C₄	—	52	4	no	—
1560	C₂×C₄	—	52	4	no	—
1561	C₂×C₄	—	52	4	no	—
1562	C₂×C₄	—	52	4	no	—
1563	C₂×C₄	—	52	4	no	—
1564	C₂×C₄	—	52	1	no	—
1565	C₂×C₄	—	52	4	no	—
1566	C₂×C₄	—	52	4	no	—
1567	C₂×C₄	—	52	2	no	—
1568	C₂×C₄	#41×D₁₃	1	4	yes	complemented
1569	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1570	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1571	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1572	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1573	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1574	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1575	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1576	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1577	C₂²	—	2	1	no	—
1578	C₂²	—	2	1	no	—
1579	C₂²	—	2	4	no	—
1580	C₂²	—	2	4	no	—
1581	C₂²	—	2	4	no	—
1582	C₂²	—	2	4	no	—
1583	C₂²	—	2	4	no	—
1584	C₂²	—	2	4	no	—
1585	C₂²	—	4	8	no	—
1586	C₂²	—	13	2	no	—
1587	C₂²	—	13	2	no	—
1588	C₂²	—	13	2	no	—
1589	C₂²	—	13	2	no	—
1590	C₂²	—	26	8	no	—
1591	C₂²	—	26	1	no	—
1592	C₂²	—	26	1	no	—
1593	C₂²	—	26	4	no	—
1594	C₂²	—	26	4	no	—
1595	C₂²	—	26	4	no	—
1596	C₂²	—	26	4	no	—
1597	C₂²	—	26	4	no	—
1598	C₂²	—	26	4	no	—
1599	C₂²	—	52	8	no	—
1600	C₂²	—	52	16	no	—
1601	C₂²	—	52	16	no	—
1602	C₂²	—	52	16	no	—
1603	C₂²	C₂×#41×D₁₃	1	2	yes	—
1604	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1605	C₄	—	2	4	no	—
1606	C₄	—	2	1	no	—
1607	C₄	—	2	4	no	—
1608	C₄	—	2	4	no	—
1609	C₄	—	2	2	no	—
1610	C₄	—	2	4	no	—
1611	C₄	—	13	4	no	—
1612	C₄	—	13	2	no	—
1613	C₄	—	26	4	no	—
1614	C₄	—	26	1	no	—
1615	C₄	—	26	4	no	—
1616	C₄	—	26	4	no	—
1617	C₄	—	26	2	no	—
1618	C₄	—	26	4	no	—
1619	C₄	C₂×#41×D₁₃	1	4	yes	—
1620	C₄	D₁₃×H(5,𝔽₂)	1	2	yes	—
1621	C₂	—	2	2	no	—
1622	C₂	—	4	4	no	—
1623	C₂	—	4	4	no	—
1624	C₂	—	13	4	no	—
1625	C₂	—	26	2	no	—
1626	C₂	—	52	4	no	—
1627	C₂	—	52	4	no	—
1628	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1629	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1630	C₂	D₁₃×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₁₃×#3460	C₂
hypercenter	#3460	D₁₃
hypocenter	C₁₃	C₂×#3460
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #3460

Complements

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

N	H ≅ G/N	type
1. #13128259	C₂	semidirect
2. #13128258	C₂	semidirect
3. #13128257	C₂	semidirect
4. #13128256	C₂	semidirect
5. #13128255	C₂	semidirect
6. #13128254	C₂	semidirect
7. #13128253	C₂	semidirect
8. #13128252	C₂	semidirect
9. #13128251	C₂	semidirect
10. #13128250	C₂	semidirect
11. #13128249	C₂	semidirect
12. D₁₃×#544	C₂	semidirect
13. D₁₃×#542	C₂	semidirect
14. D₁₃×#540	C₂	semidirect
15. D₁₃×#538	C₂	semidirect
16. D₁₃×#537	C₂	semidirect
17. D₁₃×#535	C₂	semidirect
18. D₁₃×#532	C₂	semidirect
19. D₁₃×#529	C₂	semidirect
20. D₁₃×#525	C₂	semidirect
21. C₄×#41×D₁₃	C₂	semidirect
22. C₂×C₄×D₄×D₁₃	C₂	semidirect
23. C₁₃×#3460	C₂	semidirect
25. C₂×#41×D₁₃	C₂²	semidirect
28. C₁₃×#544	C₂²	semidirect
29. C₁₃×#542	C₂²	semidirect
30. C₁₃×#540	C₂²	semidirect
31. C₁₃×#538	C₂²	semidirect
32. C₁₃×#537	C₂²	semidirect
33. C₁₃×#535	C₂²	semidirect
34. C₁₃×#532	C₂²	semidirect
35. C₁₃×#529	C₂²	semidirect
36. C₁₃×#525	C₂²	semidirect
37. C₄×C₁₃×#41	C₂²	semidirect
38. C₂×C₄×D₄×C₁₃	C₂²	semidirect
39. #11719538	C₂²	semidirect
40. #11719537	C₂²	semidirect
41. #11719535	C₂²	semidirect
42. #11719533	C₂²	semidirect
43. #41×Dic₁₃	C₂²	semidirect
44. #11719510	C₂²	semidirect
45. C₂×D₄×Dic₁₃	C₂²	semidirect
46. #11719496	C₂²	semidirect
47. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
48. #11719438	C₂²	semidirect
49. #11719434	C₂²	semidirect
50. #11719430	C₂²	semidirect
51. D₁₃×C₄⋊Q₈	C₂²	semidirect
52. #11719424	C₂²	semidirect
53. #11719421	C₂²	semidirect
54. #11719420	C₂²	semidirect
56. #11719415	C₂²	semidirect
57. #11719411	C₂²	semidirect
58. #11719409	C₂²	semidirect
59. D₁₃×#126	C₂²	semidirect
60. #11719403	C₂²	semidirect
61. #11719396	C₂²	semidirect
62. #11719394	C₂²	semidirect
63. D₁₃×#125	C₂²	semidirect
64. #11719387	C₂²	semidirect
65. #11719385	C₂²	semidirect
66. #11719383	C₂²	semidirect
67. #11719379	C₂²	semidirect
69. D₁₃×#124	C₂²	semidirect
70. #11719374	C₂²	semidirect
71. #11719373	C₂²	semidirect
72. #11719368	C₂²	semidirect
73. #11719368	C₂²	semidirect
74. #11719367	C₂²	semidirect
75. #11719362	C₂²	semidirect
76. #11719361	C₂²	semidirect
77. D₁₃×#123	C₂²	semidirect
78. D₁₃×#123	C₂²	semidirect
79. #11719354	C₂²	semidirect
80. #11719349	C₂²	semidirect
81. #11719348	C₂²	semidirect
82. #11719345	C₂²	semidirect
83. #11719334	C₂²	semidirect
84. #11719332	C₂²	semidirect
85. #11719332	C₂²	semidirect
87. D₁₃×C₂²⋊Q₈	C₂²	semidirect
88. D₁₃×C₂²⋊Q₈	C₂²	semidirect
89. #11719329	C₂²	semidirect
90. #11719328	C₂²	semidirect
91. #11719324	C₂²	semidirect
92. #11719324	C₂²	semidirect
93. #11719322	C₂²	semidirect
94. #11719320	C₂²	semidirect
95. #11719320	C₂²	semidirect
96. #11719318	C₂²	semidirect
97. #11719313	C₂²	semidirect
98. #11719312	C₂²	semidirect
99. #11719312	C₂²	semidirect
100. #11719311	C₂²	semidirect
101. #11719311	C₂²	semidirect
105. D₁₃×#121	C₂²	semidirect
106. D₁₃×#121	C₂²	semidirect
107. D₁₃×#121	C₂²	semidirect
108. #11719308	C₂²	semidirect
109. #11719305	C₂²	semidirect
110. #11719302	C₂²	semidirect
111. #11719301	C₂²	semidirect
112. #11719301	C₂²	semidirect
113. #11719301	C₂²	semidirect
114. #11719298	C₂²	semidirect
115. #11719297	C₂²	semidirect
117. #11719291	C₂²	semidirect
118. #11719287	C₂²	semidirect
119. #11719285	C₂²	semidirect
120. C₄×#6131	C₂²	semidirect
121. C₄×#6131	C₂²	semidirect
122. C₄×Q₈×D₁₃	C₂²	semidirect
123. C₄×Q₈×D₁₃	C₂²	semidirect
124. #11719267	C₂²	semidirect
125. #11719267	C₂²	semidirect
126. #11719266	C₂²	semidirect
127. #11719265	C₂²	semidirect
128. #11719262	C₂²	semidirect
129. #11719253	C₂²	semidirect
130. #11719253	C₂²	semidirect
131. #11719253	C₂²	semidirect
132. #11719252	C₂²	semidirect
133. #11719252	C₂²	semidirect
138. C₄×D₄×D₁₃	C₂²	semidirect
139. C₄×D₄×D₁₃	C₂²	semidirect
140. C₄×D₄×D₁₃	C₂²	semidirect
141. C₄×D₄×D₁₃	C₂²	semidirect
142. C₄×D₄×D₁₃	C₂²	semidirect
143. #11719243	C₂²	semidirect
144. C₄×#6129	C₂²	semidirect
145. C₄×#6129	C₂²	semidirect
146. C₄×#6129	C₂²	semidirect
147. C₄×#6129	C₂²	semidirect
148. #11719240	C₂²	semidirect
149. #11719239	C₂²	semidirect
150. #11719233	C₂²	semidirect
151. #11719230	C₂²	semidirect
152. #11719229	C₂²	semidirect
153. #11719227	C₂²	semidirect
154. #11719227	C₂²	semidirect
156. D₁₃×#117	C₂²	semidirect
157. D₁₃×#117	C₂²	semidirect
158. #11719224	C₂²	semidirect
159. #11719215	C₂²	semidirect
160. C₂×#88147	C₂²	semidirect
162. #11719205	C₂²	semidirect
163. #11719199	C₂²	semidirect
164. C₂×#88135	C₂²	semidirect
166. #11719184	C₂²	semidirect
167. #11719182	C₂²	semidirect
168. C₄×#6127	C₂²	semidirect
169. C₄×#6127	C₂²	semidirect
170. C₂×C₄×D₅₂	C₂²	semidirect
172. C₂×C₄²×D₁₃	C₂²	semidirect
175. C₂×C₁₃×#41	C₂³	semidirect
183. C₂×#6131	C₂³	semidirect
188. C₂×#6129	C₂³	semidirect
189. C₂×#6129	C₂³	semidirect
200. C₂×#6127	C₂³	semidirect
201. C₂×#6127	C₂³	semidirect
217. C₁₃×C₄⋊Q₈	C₂³	semidirect
219. C₁₃×#126	C₂³	semidirect
220. C₁₃×#125	C₂³	semidirect
222. C₁₃×#124	C₂³	semidirect
223. C₁₃×#123	C₂³	semidirect
224. C₁₃×#123	C₂³	semidirect
226. C₁₃×C₂²⋊Q₈	C₂³	semidirect
227. C₁₃×C₂²⋊Q₈	C₂³	semidirect
231. C₁₃×#121	C₂³	semidirect
232. C₁₃×#121	C₂³	semidirect
233. C₁₃×#121	C₂³	semidirect
235. C₄×Q₈×C₁₃	C₂³	semidirect
236. C₄×Q₈×C₁₃	C₂³	semidirect
241. C₄×D₄×C₁₃	C₂³	semidirect
242. C₄×D₄×C₁₃	C₂³	semidirect
243. C₄×D₄×C₁₃	C₂³	semidirect
245. C₁₃×#117	C₂³	semidirect
246. C₁₃×#117	C₂³	semidirect
250. C₂×C₄²×C₁₃	C₂³	semidirect
254. #88201	C₂³	semidirect
256. #88200	C₂³	semidirect
257. #88200	C₂³	semidirect
258. Q₈×Dic₁₃	C₂³	semidirect
259. Q₈×Dic₁₃	C₂³	semidirect
260. #88198	C₂³	semidirect
268. #88193	C₂³	semidirect
269. #88193	C₂³	semidirect
270. #88193	C₂³	semidirect
271. #88193	C₂³	semidirect
275. #88192	C₂³	semidirect
276. #88192	C₂³	semidirect
277. #88192	C₂³	semidirect
282. #88190	C₂³	semidirect
283. #88189	C₂³	semidirect
284. #88189	C₂³	semidirect
289. D₄×Dic₁₃	C₂³	semidirect
290. D₄×Dic₁₃	C₂³	semidirect
291. D₄×Dic₁₃	C₂³	semidirect
295. #88184	C₂³	semidirect
296. #88184	C₂³	semidirect
297. #88184	C₂³	semidirect
298. #88183	C₂³	semidirect
299. #88183	C₂³	semidirect
306. C₄×C₂²⋊D₁₃	C₂³	semidirect
307. C₄×C₂²⋊D₁₃	C₂³	semidirect
308. C₄×C₂²⋊D₁₃	C₂³	semidirect
309. C₄×C₂²⋊D₁₃	C₂³	semidirect
313. #88180	C₂³	semidirect
314. #88180	C₂³	semidirect
317. #88178	C₂³	semidirect
318. #88178	C₂³	semidirect
323. C₂×C₄×Dic₁₃	C₂³	semidirect
324. C₂×C₄×Dic₁₃	C₂³	semidirect
325. C₂×C₄×Dic₁₃	C₂³	semidirect
326. #88152	C₂³	semidirect
327. #88152	C₂³	semidirect
328. #88152	C₂³	semidirect
330. #88151	C₂³	semidirect
331. #88151	C₂³	semidirect
333. #88150	C₂³	semidirect
334. #88150	C₂³	semidirect
338. #88149	C₂³	semidirect
339. #88149	C₂³	semidirect
340. #88149	C₂³	semidirect
341. #88148	C₂³	semidirect
342. #88148	C₂³	semidirect
343. #88148	C₂³	semidirect
344. #88148	C₂³	semidirect
349. #88147	C₂³	semidirect
350. #88147	C₂³	semidirect
351. #88147	C₂³	semidirect
354. #88146	C₂³	semidirect
355. #88146	C₂³	semidirect
356. #88146	C₂³	semidirect
357. #88146	C₂³	semidirect
367. #88144	C₂³	semidirect
368. #88144	C₂³	semidirect
369. #88143	C₂³	semidirect
370. #88143	C₂³	semidirect
371. #88142	C₂³	semidirect
372. #88142	C₂³	semidirect
373. #88142	C₂³	semidirect
374. #88141	C₂³	semidirect
375. #88141	C₂³	semidirect
376. #88141	C₂³	semidirect
377. #88141	C₂³	semidirect
378. #88140	C₂³	semidirect
379. #88140	C₂³	semidirect
382. #88139	C₂³	semidirect
383. #88139	C₂³	semidirect
384. #88139	C₂³	semidirect
385. #88139	C₂³	semidirect
389. #88138	C₂³	semidirect
390. #88138	C₂³	semidirect
391. #88138	C₂³	semidirect
392. #88138	C₂³	semidirect
393. #88137	C₂³	semidirect
394. #88137	C₂³	semidirect
395. #88137	C₂³	semidirect
396. #88137	C₂³	semidirect
406. #88135	C₂³	semidirect
407. #88135	C₂³	semidirect
408. #88135	C₂³	semidirect
409. #88135	C₂³	semidirect
418. #88133	C₂³	semidirect
419. #88133	C₂³	semidirect
420. #88133	C₂³	semidirect
422. #88132	C₂³	semidirect
423. #88132	C₂³	semidirect
425. #88131	C₂³	semidirect
426. #88131	C₂³	semidirect
427. #88131	C₂³	semidirect
428. #88130	C₂³	semidirect
430. #88129	C₂³	semidirect
436. C₄×D₅₂	C₂³	semidirect
437. C₄×D₅₂	C₂³	semidirect
438. C₄×D₅₂	C₂³	semidirect
440. #88126	C₂³	semidirect
441. #88126	C₂³	semidirect
442. #88126	C₂³	semidirect
450. C₄²×D₁₃	C₂³	semidirect
451. C₄²×D₁₃	C₂³	semidirect
452. C₄²×D₁₃	C₂³	semidirect
453. C₄²×D₁₃	C₂³	semidirect
454. #88124	C₂³	semidirect
455. #88123	C₂³	semidirect
456. C₄×Dic₂₆	C₂³	semidirect
457. C₄×Dic₂₆	C₂³	semidirect
458. C₄×Dic₂₆	C₂³	semidirect
459. C₄×Dic₂₆	C₂³	semidirect
549. C₂×C₄×D₁₃	#41	semidirect
663. #3460	D₁₃	direct (N × H)
717. C₂×C₄×C₁₃	C₂×#41	semidirect
743. C₂×Dic₁₃	C₂×#41	semidirect
779. C₄×D₁₃	C₂×#41	semidirect
794. #544	C₂×D₁₃	semidirect
806. #542	C₂×D₁₃	semidirect
818. #540	C₂×D₁₃	semidirect
828. #538	C₂×D₁₃	semidirect
834. #537	C₂×D₁₃	semidirect
843. #535	C₂×D₁₃	semidirect
855. #532	C₂×D₁₃	semidirect
869. #529	C₂×D₁₃	semidirect
885. #525	C₂×D₁₃	semidirect
909. C₄×#41	C₂×D₁₃	semidirect
926. C₂×C₄×D₄	C₂×D₁₃	semidirect
992. C₂×#41	C₂²×D₁₃	semidirect
1027. C₄⋊Q₈	C₂²×D₁₃	semidirect
1041. #126	C₂²×D₁₃	semidirect
1047. #125	C₂²×D₁₃	semidirect
1061. #124	C₂²×D₁₃	semidirect
1076. #123	C₂²×D₁₃	semidirect
1077. #123	C₂²×D₁₃	semidirect
1094. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1095. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1131. #121	C₂²×D₁₃	semidirect
1132. #121	C₂²×D₁₃	semidirect
1133. #121	C₂²×D₁₃	semidirect
1152. C₄×Q₈	C₂²×D₁₃	semidirect
1153. C₄×Q₈	C₂²×D₁₃	semidirect
1199. C₄×D₄	C₂²×D₁₃	semidirect
1200. C₄×D₄	C₂²×D₁₃	semidirect
1201. C₄×D₄	C₂²×D₁₃	semidirect
1220. #117	C₂²×D₁₃	semidirect
1221. #117	C₂²×D₁₃	semidirect
1264. C₂×C₄²	C₂²×D₁₃	semidirect
1274. D₁₃	#3460	direct (N × H)
1466. C₁₃	C₂×#3460	semidirect
1568. C₂×C₄	#41×D₁₃	semidirect

Maximal subgroups

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

subgroup	index
#13128259	2
#13128258	2
#13128257	2
#13128256	2
#13128255	2
#13128254	2
#13128253	2
#13128252	2
#13128251	2
#13128250	2
#13128249	2
D₁₃×#544	2
D₁₃×#542	2
D₁₃×#540	2
D₁₃×#538	2
D₁₃×#537	2
D₁₃×#535	2
D₁₃×#532	2
D₁₃×#529	2
D₁₃×#525	2
C₄×#41×D₁₃	2
C₂×C₄×D₄×D₁₃	2
C₁₃×#3460	2
C₂×#3460	13

Subgroups — D13×#3460 #16769710

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3460 #16769710