Subgroups — C₁₃×#62046 #15748385

Order 3328.

1822 conjugacy classes of subgroups.

The subgroup lattice has 1150 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3522	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3400	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3396	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3363	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3333	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3330	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3308	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3287	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3278	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3277	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3269	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3262	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3254	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3225	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3207	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3124	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3104	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3046	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3037	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2993	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	2	yes	—
25	C₂×C₁₃×#137	C₂²	1	2	yes	—
26	C₂×C₁₃×#135	C₂²	1	2	yes	—
27	C₁₃×#562	—	2	2	no	—
28	C₁₃×#559	—	2	1	no	—
29	C₁₃×#559	—	2	1	no	—
30	C₁₃×#559	C₂²	1	1	yes	characteristic
31	C₁₃×#559	C₂²	1	1	yes	characteristic
32	Q₈²×C₁₃	C₂²	1	1	yes	characteristic
33	C₁₃×#557	C₂²	1	1	yes	characteristic
34	C₁₃×#554	—	2	1	no	—
35	C₁₃×#554	—	2	1	no	—
36	C₁₃×#554	C₂²	1	1	yes	characteristic
37	C₁₃×#550	C₂²	1	1	yes	characteristic
38	C₁₃×#550	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
40	C₁₃×#548	C₂²	1	2	yes	—
41	C₁₃×#548	C₂²	1	2	yes	—
42	C₁₃×#547	—	2	2	no	—
43	C₁₃×#547	C₂²	1	2	yes	—
44	C₁₃×#547	C₂²	1	2	yes	—
45	C₁₃×#542	—	2	2	no	—
46	C₁₃×#542	—	2	1	no	—
47	C₁₃×#542	C₂²	1	2	yes	—
48	C₁₃×#542	C₂²	1	2	yes	—
49	C₁₃×#540	—	2	1	no	—
50	C₁₃×#539	—	2	2	no	—
51	C₁₃×#536	C₂²	1	2	yes	—
52	C₁₃×#533	C₂²	1	1	yes	characteristic
53	C₁₃×#532	—	2	1	no	—
54	C₁₃×#532	C₂²	1	1	yes	characteristic
55	C₁₃×#532	C₂²	1	1	yes	characteristic
56	C₁₃×#529	—	2	1	no	—
57	C₁₃×#529	C₂²	1	1	yes	characteristic
58	C₁₃×#520	C₂²	1	2	yes	—
59	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
60	C₁₃×#497	C₂²	1	2	yes	—
61	C₁₃×#495	C₂²	1	2	yes	—
62	C₁₃×#493	C₂²	1	1	yes	characteristic
63	C₁₃×#492	C₂²	1	1	yes	characteristic
64	C₁₃×#489	C₂²	1	2	yes	—
65	C₁₃×#487	C₂²	1	1	yes	characteristic
66	C₁₃×#487	C₂²	1	2	yes	—
67	C₁₃×#486	C₂²	1	1	yes	characteristic
68	C₁₃×#484	C₂²	1	2	yes	—
69	C₁₃×#484	C₂²	1	1	yes	characteristic
70	C₁₃×#484	C₂²	1	1	yes	characteristic
71	C₁₃×#480	C₂²	1	2	yes	—
72	C₁₃×#477	C₂²	1	1	yes	characteristic
73	C₁₃×#477	C₂²	1	2	yes	—
74	C₁₃×#477	C₂²	1	1	yes	characteristic
75	C₁₃×#477	C₂²	1	1	yes	characteristic
76	C₁₃×#477	C₂²	1	1	yes	characteristic
77	C₁₃×#474	C₂²	1	2	yes	—
78	C₁₃×#474	C₂²	1	2	yes	—
79	C₁₃×#468	C₂²	1	2	yes	—
80	C₁₃×#468	C₂²	1	2	yes	—
81	C₁₃×#468	C₂²	1	2	yes	—
82	C₁₃×#468	C₂²	1	2	yes	—
83	C₁₃×#467	C₂²	1	2	yes	—
84	C₁₃×#466	C₂²	1	2	yes	—
85	C₁₃×#464	C₂²	1	2	yes	—
86	C₁₃×#464	C₂²	1	2	yes	—
87	C₁₃×#464	C₂²	1	2	yes	—
88	C₁₃×#464	C₂²	1	2	yes	—
89	C₁₃×#463	C₂²	1	2	yes	—
90	C₁₃×#463	C₂²	1	2	yes	—
91	C₁₃×#463	C₂²	1	2	yes	—
92	C₁₃×#463	C₂²	1	2	yes	—
93	C₁₃×#462	C₂²	1	2	yes	—
94	C₁₃×#462	C₂²	1	1	yes	characteristic
95	C₁₃×#462	C₂²	1	1	yes	characteristic
96	C₁₃×#462	C₂²	1	1	yes	characteristic
97	C₁₃×#462	C₂²	1	1	yes	characteristic
98	C₁₃×#461	C₂²	1	2	yes	—
99	C₁₃×#461	C₂²	1	2	yes	—
100	C₁₃×#460	C₂²	1	1	yes	characteristic
101	C₁₃×#460	C₂²	1	1	yes	characteristic
102	C₁₃×#460	C₂²	1	1	yes	characteristic
103	C₁₃×#460	C₂²	1	1	yes	characteristic
104	C₁₃×#452	C₂²	1	2	yes	—
105	C₁₃×#452	C₂²	1	2	yes	—
106	C₁₃×#451	C₂²	1	1	yes	characteristic
107	C₁₃×#451	C₂²	1	1	yes	characteristic
108	C₁₃×#451	C₂²	1	2	yes	—
109	C₁₃×#449	C₂²	1	2	yes	—
110	C₁₃×#449	C₂²	1	2	yes	—
111	C₁₃×#449	C₂²	1	2	yes	—
112	C₁₃×#449	C₂²	1	2	yes	—
113	C₁₃×#448	C₂²	1	2	yes	—
114	C₁₃×#446	C₂²	1	1	yes	characteristic
115	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
116	C₁₃×#440	C₂²	1	2	yes	—
117	C₁₃×#440	C₂²	1	2	yes	—
118	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
119	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
121	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
122	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
123	C₄×C₁₃×D₈	C₂²	1	2	yes	—
124	C₁₃×#436	C₂²	1	2	yes	—
125	C₁₃×#436	C₂²	1	1	yes	characteristic
126	C₁₃×#435	C₂²	1	2	yes	—
127	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
128	C₁₃×#433	C₂²	1	2	yes	—
129	C₁₃×#431	C₂²	1	1	yes	characteristic
130	C₁₃×#424	C₂²	1	2	yes	—
131	C₁₃×#423	C₂²	1	1	yes	characteristic
132	C₁₃×#417	C₂²	1	2	yes	—
133	C₁₃×#417	C₂²	1	2	yes	—
134	C₂×C₁₃×#103	C₂²	1	2	yes	—
135	C₂×C₁₃×#41	—	2	2	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	C₂³	1	2	yes	—
138	C₂×C₁₃×#41	C₂³	1	2	yes	—
139	C₂×C₁₃×#41	C₂³	1	2	yes	—
140	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
141	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
142	C₁₃×#137	—	4	4	no	—
143	C₁₃×#137	—	4	4	no	—
144	C₁₃×#135	—	4	4	no	—
145	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×D₈	C₂³	1	2	yes	—
158	C₂×C₁₃×D₈	C₂³	1	2	yes	—
159	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
160	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
161	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
162	C₁₃×C₄⋊Q₈	—	2	1	no	—
163	C₁₃×C₄⋊Q₈	—	2	2	no	—
164	C₁₃×C₄⋊Q₈	—	2	1	no	—
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
167	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
170	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₃×#127	—	2	1	no	—
172	C₁₃×#127	—	2	1	no	—
173	C₁₃×#127	C₂³	1	1	yes	characteristic
174	C₁₃×#127	C₂³	1	1	yes	characteristic
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#126	—	2	2	no	—
177	C₁₃×#126	D₄	1	2	yes	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	—	2	1	no	—
181	C₁₃×#125	—	2	1	no	—
182	C₁₃×#125	D₄	1	1	yes	characteristic
183	C₁₃×#124	—	2	1	no	—
184	C₁₃×#124	—	2	1	no	—
185	C₁₃×#124	—	2	2	no	—
186	C₁₃×#124	—	2	2	no	—
187	C₁₃×#124	—	2	2	no	—
188	C₁₃×#124	—	2	2	no	—
189	C₁₃×#124	—	2	1	no	—
190	C₁₃×#124	D₄	1	1	yes	characteristic
191	C₁₃×#124	C₂³	1	2	yes	—
192	C₁₃×#124	C₂³	1	2	yes	—
193	C₁₃×#124	C₂³	1	2	yes	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×#123	D₄	1	2	yes	—
205	C₁₃×C₂²⋊Q₈	—	2	1	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	—	2	2	no	—
211	C₁₃×C₂²⋊Q₈	—	2	2	no	—
212	C₁₃×C₂²⋊Q₈	—	2	2	no	—
213	C₁₃×C₂²⋊Q₈	—	2	2	no	—
214	C₁₃×C₂²⋊Q₈	—	2	2	no	—
215	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
216	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
217	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
218	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
219	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₃×#121	—	2	2	no	—
221	C₁₃×#121	—	2	2	no	—
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	—	2	1	no	—
224	C₁₃×#121	—	2	1	no	—
225	C₁₃×#121	—	2	1	no	—
226	C₁₃×#121	—	2	2	no	—
227	C₁₃×#121	—	2	2	no	—
228	C₁₃×#121	D₄	1	1	yes	characteristic
229	C₁₃×#121	C₂³	1	2	yes	—
230	C₁₃×#121	C₂³	1	2	yes	—
231	C₁₃×#121	C₂³	1	2	yes	—
232	C₄×Q₈×C₁₃	—	2	1	no	—
233	C₄×Q₈×C₁₃	—	2	1	no	—
234	C₄×Q₈×C₁₃	—	2	1	no	—
235	C₄×Q₈×C₁₃	—	2	1	no	—
236	C₄×Q₈×C₁₃	—	2	1	no	—
237	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
242	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
243	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
244	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
245	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	—	2	1	no	—
248	C₄×D₄×C₁₃	—	2	1	no	—
249	C₄×D₄×C₁₃	—	2	1	no	—
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	—	2	1	no	—
252	C₄×D₄×C₁₃	—	2	2	no	—
253	C₄×D₄×C₁₃	—	2	2	no	—
254	C₄×D₄×C₁₃	—	2	2	no	—
255	C₄×D₄×C₁₃	—	2	2	no	—
256	C₄×D₄×C₁₃	—	2	1	no	—
257	C₄×D₄×C₁₃	—	2	1	no	—
258	C₄×D₄×C₁₃	—	2	1	no	—
259	C₄×D₄×C₁₃	C₂³	1	2	yes	—
260	C₄×D₄×C₁₃	C₂³	1	2	yes	—
261	C₄×D₄×C₁₃	C₂³	1	2	yes	—
262	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
263	C₄×D₄×C₁₃	C₂³	1	2	yes	—
264	C₁₃×#117	—	2	1	no	—
265	C₁₃×#117	—	2	2	no	—
266	C₁₃×#117	C₂³	1	2	yes	—
267	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
268	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
269	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
270	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
271	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₄²×C₁₃	—	2	1	no	—
273	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
274	C₁₃×#107	C₂³	1	1	yes	characteristic
275	C₁₃×#107	C₂³	1	1	yes	characteristic
276	C₁₃×#107	C₂³	1	1	yes	characteristic
277	C₁₃×#107	C₂³	1	1	yes	characteristic
278	C₁₃×#107	C₂³	1	2	yes	—
279	C₁₃×#107	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	1	yes	characteristic
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#103	C₂³	1	1	yes	characteristic
295	C₁₃×#103	C₂³	1	1	yes	characteristic
296	C₁₃×#103	C₂³	1	1	yes	characteristic
297	C₁₃×#103	C₂³	1	1	yes	characteristic
298	C₁₃×#103	C₂³	1	2	yes	—
299	C₁₃×#103	C₂³	1	1	yes	characteristic
300	C₁₃×#103	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×#102	C₂³	1	2	yes	—
305	C₁₃×#102	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×#97	C₂³	1	2	yes	—
312	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₃	C₂³	1	2	yes	—
315	#62046	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₁₃×#41	—	2	4	no	—
317	C₁₃×#41	—	4	2	no	—
318	C₁₃×#41	—	4	2	no	—
319	C₁₃×#41	—	4	2	no	—
320	C₁₃×#41	—	4	2	no	—
321	C₁₃×#41	—	4	2	no	—
322	C₁₃×#41	—	8	2	no	—
323	C₁₃×#41	—	8	4	no	—
324	C₂×Q₈×C₁₃	—	2	1	no	—
325	C₂×Q₈×C₁₃	—	2	1	no	—
326	C₂×Q₈×C₁₃	—	2	2	no	—
327	C₂×Q₈×C₁₃	—	2	2	no	—
328	C₂×Q₈×C₁₃	—	2	1	no	—
329	C₂×Q₈×C₁₃	—	2	2	no	—
330	C₂×Q₈×C₁₃	—	4	1	no	—
331	C₂×Q₈×C₁₃	—	4	2	no	—
332	C₂×Q₈×C₁₃	—	4	2	no	—
333	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
334	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
336	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
337	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
338	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	2	no	—
342	C₂×D₄×C₁₃	—	2	2	no	—
343	C₂×D₄×C₁₃	—	2	2	no	—
344	C₂×D₄×C₁₃	—	2	2	no	—
345	C₂×D₄×C₁₃	—	2	1	no	—
346	C₂×D₄×C₁₃	—	2	1	no	—
347	C₂×D₄×C₁₃	—	2	1	no	—
348	C₂×D₄×C₁₃	—	2	1	no	—
349	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
350	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
351	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
352	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
353	C₂²×C₄×C₁₃	—	2	1	no	—
354	C₂²×C₄×C₁₃	—	2	1	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	—	2	2	no	—
358	C₂²×C₄×C₁₃	—	2	2	no	—
359	C₂²×C₄×C₁₃	—	2	2	no	—
360	C₂²×C₄×C₁₃	—	2	2	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	—	2	2	no	—
363	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
364	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
365	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
367	C₁₃×Q₁₆	—	2	2	no	—
368	C₁₃×Q₁₆	—	2	2	no	—
369	C₁₃×Q₁₆	—	2	4	no	—
370	C₁₃×Q₁₆	—	4	1	no	—
371	C₁₃×Q₁₆	—	4	1	no	—
372	C₁₃×Q₁₆	—	4	2	no	—
373	C₁₃×SD₁₆	—	2	4	no	—
374	C₁₃×SD₁₆	—	4	2	no	—
375	C₁₃×SD₁₆	—	4	2	no	—
376	C₁₃×SD₁₆	—	4	2	no	—
377	C₁₃×SD₁₆	—	4	2	no	—
378	C₁₃×SD₁₆	—	4	2	no	—
379	C₁₃×D₈	—	4	2	no	—
380	C₁₃×D₈	—	4	2	no	—
381	C₁₃×M₁₆	—	4	2	no	—
382	C₁₃×M₁₆	—	4	2	no	—
383	C₂×C₈×C₁₃	—	4	2	no	—
384	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
388	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
390	C₁₃×C₄⋊C₄	—	2	1	no	—
391	C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	—	2	1	no	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	—	2	1	no	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₁₃×C₄⋊C₄	—	2	1	no	—
403	C₁₃×C₄⋊C₄	—	2	1	no	—
404	C₁₃×C₄⋊C₄	—	2	1	no	—
405	C₁₃×C₄⋊C₄	—	2	1	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	1	no	—
408	C₁₃×C₄⋊C₄	—	2	2	no	—
409	C₁₃×C₄⋊C₄	—	2	2	no	—
410	C₁₃×C₄⋊C₄	—	2	1	no	—
411	C₁₃×C₄⋊C₄	—	2	2	no	—
412	C₁₃×C₄⋊C₄	—	2	1	no	—
413	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
414	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
415	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
416	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
417	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
418	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
419	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
420	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
421	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
422	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
423	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
424	C₁₃×C₂²⋊C₄	—	2	1	no	—
425	C₁₃×C₂²⋊C₄	—	2	1	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	2	no	—
438	C₁₃×C₂²⋊C₄	—	2	2	no	—
439	C₁₃×C₂²⋊C₄	—	2	2	no	—
440	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
443	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
444	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
445	C₄²×C₁₃	—	2	1	no	—
446	C₄²×C₁₃	—	2	1	no	—
447	C₄²×C₁₃	—	2	1	no	—
448	C₄²×C₁₃	—	2	1	no	—
449	C₄²×C₁₃	—	2	2	no	—
450	C₄²×C₁₃	—	2	1	no	—
451	C₄²×C₁₃	—	2	1	no	—
452	C₄²×C₁₃	—	2	2	no	—
453	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
454	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
455	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
456	C₄²×C₁₃	C₂⁴	1	2	yes	—
457	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
458	#3554	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3522	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3400	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3396	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3375	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3363	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3333	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3330	C₂×C₁₃	1	2	yes	complemented
466	#3308	C₂×C₁₃	1	2	yes	complemented
467	#3299	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3287	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3278	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3277	C₂×C₁₃	1	2	yes	complemented
471	#3269	C₂×C₁₃	1	2	yes	complemented
472	#3262	C₂×C₁₃	1	2	yes	complemented
473	#3254	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#3225	C₂×C₁₃	1	2	yes	complemented
475	#3207	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#3124	C₂×C₁₃	1	2	yes	complemented
477	#3104	C₂×C₁₃	1	1	yes	characteristic, complemented
478	#3046	C₂×C₁₃	1	2	yes	complemented
479	#3037	C₂×C₁₃	1	1	yes	characteristic, complemented
480	#2993	C₂×C₁₃	1	1	yes	characteristic, complemented
481	C₂³×C₁₃	—	2	2	no	—
482	C₂³×C₁₃	—	2	2	no	—
483	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
484	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
485	Q₈×C₁₃	—	2	2	no	—
486	Q₈×C₁₃	—	2	1	no	—
487	Q₈×C₁₃	—	2	1	no	—
488	Q₈×C₁₃	—	2	1	no	—
489	Q₈×C₁₃	—	2	1	no	—
490	Q₈×C₁₃	—	2	2	no	—
491	Q₈×C₁₃	—	2	2	no	—
492	Q₈×C₁₃	—	2	1	no	—
493	Q₈×C₁₃	—	2	1	no	—
494	Q₈×C₁₃	—	2	1	no	—
495	Q₈×C₁₃	—	4	2	no	—
496	Q₈×C₁₃	—	8	1	no	—
497	Q₈×C₁₃	—	8	2	no	—
498	Q₈×C₁₃	—	8	1	no	—
499	Q₈×C₁₃	—	8	2	no	—
500	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
501	D₄×C₁₃	—	2	2	no	—
502	D₄×C₁₃	—	2	2	no	—
503	D₄×C₁₃	—	2	2	no	—
504	D₄×C₁₃	—	2	2	no	—
505	D₄×C₁₃	—	2	2	no	—
506	D₄×C₁₃	—	4	2	no	—
507	D₄×C₁₃	—	4	4	no	—
508	D₄×C₁₃	—	4	4	no	—
509	D₄×C₁₃	—	4	2	no	—
510	D₄×C₁₃	—	4	2	no	—
511	D₄×C₁₃	—	8	1	no	—
512	D₄×C₁₃	—	8	1	no	—
513	D₄×C₁₃	—	8	2	no	—
514	D₄×C₁₃	—	8	2	no	—
515	D₄×C₁₃	—	8	2	no	—
516	D₄×C₁₃	—	8	2	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	2	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	1	no	—
521	C₂×C₄×C₁₃	—	2	2	no	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	2	1	no	—
526	C₂×C₄×C₁₃	—	2	1	no	—
527	C₂×C₄×C₁₃	—	2	1	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	2	2	no	—
530	C₂×C₄×C₁₃	—	2	2	no	—
531	C₂×C₄×C₁₃	—	2	1	no	—
532	C₂×C₄×C₁₃	—	4	1	no	—
533	C₂×C₄×C₁₃	—	4	4	no	—
534	C₂×C₄×C₁₃	—	4	2	no	—
535	C₂×C₄×C₁₃	—	4	2	no	—
536	C₂×C₄×C₁₃	—	8	2	no	—
537	C₂×C₄×C₁₃	—	8	2	no	—
538	C₂×C₄×C₁₃	—	8	2	no	—
539	C₂×C₄×C₁₃	—	8	2	no	—
540	C₂×C₄×C₁₃	—	8	2	no	—
541	C₂×C₄×C₁₃	—	8	2	no	—
542	C₂×C₄×C₁₃	—	8	2	no	—
543	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
544	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
545	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
546	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
547	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
548	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
549	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
550	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
551	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
552	C₈×C₁₃	—	2	1	no	—
553	C₈×C₁₃	—	2	2	no	—
554	C₈×C₁₃	—	2	1	no	—
555	C₈×C₁₃	—	2	2	no	—
556	C₈×C₁₃	—	2	1	no	—
557	C₈×C₁₃	—	2	1	no	—
558	C₂×#137	C₂²×C₁₃	1	2	yes	—
559	C₂×#137	C₂²×C₁₃	1	2	yes	—
560	C₂×#135	C₂²×C₁₃	1	2	yes	—
561	#562	—	2	2	no	—
562	#559	—	2	1	no	—
563	#559	—	2	1	no	—
564	#559	C₂²×C₁₃	1	1	yes	characteristic
565	#559	C₂²×C₁₃	1	1	yes	characteristic
566	Q₈²	C₂²×C₁₃	1	1	yes	characteristic
567	#557	C₂²×C₁₃	1	1	yes	characteristic
568	#554	—	2	1	no	—
569	#554	—	2	1	no	—
570	#554	C₂²×C₁₃	1	1	yes	characteristic
571	#550	C₂²×C₁₃	1	1	yes	characteristic
572	#550	C₂²×C₁₃	1	1	yes	characteristic
573	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
574	#548	C₂²×C₁₃	1	2	yes	—
575	#548	C₂²×C₁₃	1	2	yes	—
576	#547	—	2	2	no	—
577	#547	C₂²×C₁₃	1	2	yes	—
578	#547	C₂²×C₁₃	1	2	yes	—
579	#542	—	2	2	no	—
580	#542	—	2	1	no	—
581	#542	C₂²×C₁₃	1	2	yes	—
582	#542	C₂²×C₁₃	1	2	yes	—
583	#540	—	2	1	no	—
584	#539	—	2	2	no	—
585	#536	C₂²×C₁₃	1	2	yes	—
586	#533	C₂²×C₁₃	1	1	yes	characteristic
587	#532	—	2	1	no	—
588	#532	C₂²×C₁₃	1	1	yes	characteristic
589	#532	C₂²×C₁₃	1	1	yes	characteristic
590	#529	—	2	1	no	—
591	#529	C₂²×C₁₃	1	1	yes	characteristic
592	#520	C₂²×C₁₃	1	2	yes	—
593	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
594	#497	C₂²×C₁₃	1	2	yes	—
595	#495	C₂²×C₁₃	1	2	yes	—
596	#493	C₂²×C₁₃	1	1	yes	characteristic
597	#492	C₂²×C₁₃	1	1	yes	characteristic
598	#489	C₂²×C₁₃	1	2	yes	—
599	#487	C₂²×C₁₃	1	2	yes	—
600	#487	C₂²×C₁₃	1	1	yes	characteristic
601	#486	C₂²×C₁₃	1	1	yes	characteristic
602	#484	C₂²×C₁₃	1	1	yes	characteristic
603	#484	C₂²×C₁₃	1	2	yes	—
604	#484	C₂²×C₁₃	1	1	yes	characteristic
605	#480	C₂²×C₁₃	1	2	yes	—
606	#477	C₂²×C₁₃	1	1	yes	characteristic
607	#477	C₂²×C₁₃	1	1	yes	characteristic
608	#477	C₂²×C₁₃	1	1	yes	characteristic
609	#477	C₂²×C₁₃	1	2	yes	—
610	#477	C₂²×C₁₃	1	1	yes	characteristic
611	#474	C₂²×C₁₃	1	2	yes	—
612	#474	C₂²×C₁₃	1	2	yes	—
613	#468	C₂²×C₁₃	1	2	yes	—
614	#468	C₂²×C₁₃	1	2	yes	—
615	#468	C₂²×C₁₃	1	2	yes	—
616	#468	C₂²×C₁₃	1	2	yes	—
617	#467	C₂²×C₁₃	1	2	yes	—
618	#466	C₂²×C₁₃	1	2	yes	—
619	#464	C₂²×C₁₃	1	2	yes	—
620	#464	C₂²×C₁₃	1	2	yes	—
621	#464	C₂²×C₁₃	1	2	yes	—
622	#464	C₂²×C₁₃	1	2	yes	—
623	#463	C₂²×C₁₃	1	2	yes	—
624	#463	C₂²×C₁₃	1	2	yes	—
625	#463	C₂²×C₁₃	1	2	yes	—
626	#463	C₂²×C₁₃	1	2	yes	—
627	#462	C₂²×C₁₃	1	1	yes	characteristic
628	#462	C₂²×C₁₃	1	1	yes	characteristic
629	#462	C₂²×C₁₃	1	2	yes	—
630	#462	C₂²×C₁₃	1	1	yes	characteristic
631	#462	C₂²×C₁₃	1	1	yes	characteristic
632	#461	C₂²×C₁₃	1	2	yes	—
633	#461	C₂²×C₁₃	1	2	yes	—
634	#460	C₂²×C₁₃	1	1	yes	characteristic
635	#460	C₂²×C₁₃	1	1	yes	characteristic
636	#460	C₂²×C₁₃	1	1	yes	characteristic
637	#460	C₂²×C₁₃	1	1	yes	characteristic
638	#452	C₂²×C₁₃	1	2	yes	—
639	#452	C₂²×C₁₃	1	2	yes	—
640	#451	C₂²×C₁₃	1	1	yes	characteristic
641	#451	C₂²×C₁₃	1	1	yes	characteristic
642	#451	C₂²×C₁₃	1	2	yes	—
643	#449	C₂²×C₁₃	1	2	yes	—
644	#449	C₂²×C₁₃	1	2	yes	—
645	#449	C₂²×C₁₃	1	2	yes	—
646	#449	C₂²×C₁₃	1	2	yes	—
647	#448	C₂²×C₁₃	1	2	yes	—
648	#446	C₂²×C₁₃	1	1	yes	characteristic
649	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
650	#440	C₂²×C₁₃	1	2	yes	—
651	#440	C₂²×C₁₃	1	2	yes	—
652	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
653	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
654	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
655	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
656	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
657	C₄×D₈	C₂²×C₁₃	1	2	yes	—
658	#436	C₂²×C₁₃	1	2	yes	—
659	#436	C₂²×C₁₃	1	1	yes	characteristic
660	#435	C₂²×C₁₃	1	2	yes	—
661	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
662	#433	C₂²×C₁₃	1	2	yes	—
663	#431	C₂²×C₁₃	1	1	yes	characteristic
664	#424	C₂²×C₁₃	1	2	yes	—
665	#423	C₂²×C₁₃	1	1	yes	characteristic
666	#417	C₂²×C₁₃	1	2	yes	—
667	#417	C₂²×C₁₃	1	2	yes	—
668	C₂×#103	C₂²×C₁₃	1	2	yes	—
669	C₂²×C₁₃	—	2	1	no	—
670	C₂²×C₁₃	—	2	2	no	—
671	C₂²×C₁₃	—	2	1	no	—
672	C₂²×C₁₃	—	2	2	no	—
673	C₂²×C₁₃	—	2	1	no	—
674	C₂²×C₁₃	—	2	2	no	—
675	C₂²×C₁₃	—	4	2	no	—
676	C₂²×C₁₃	—	4	2	no	—
677	C₂²×C₁₃	—	4	2	no	—
678	C₂²×C₁₃	—	4	2	no	—
679	C₂²×C₁₃	—	4	2	no	—
680	C₂²×C₁₃	—	4	2	no	—
681	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
682	C₄×C₁₃	—	2	1	no	—
683	C₄×C₁₃	—	2	1	no	—
684	C₄×C₁₃	—	2	2	no	—
685	C₄×C₁₃	—	2	2	no	—
686	C₄×C₁₃	—	2	1	no	—
687	C₄×C₁₃	—	2	2	no	—
688	C₄×C₁₃	—	2	1	no	—
689	C₄×C₁₃	—	2	2	no	—
690	C₄×C₁₃	—	4	1	no	—
691	C₄×C₁₃	—	4	1	no	—
692	C₄×C₁₃	—	4	2	no	—
693	C₄×C₁₃	—	4	1	no	—
694	C₄×C₁₃	—	4	1	no	—
695	C₄×C₁₃	—	4	1	no	—
696	C₄×C₁₃	—	4	1	no	—
697	C₄×C₁₃	—	4	2	no	—
698	C₄×C₁₃	—	4	1	no	—
699	C₄×C₁₃	#578	1	2	yes	—
700	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
701	C₄×C₁₃	#585	1	1	yes	characteristic
702	C₂×#41	—	2	2	no	—
703	C₂×#41	—	2	1	no	—
704	C₂×#41	C₂³×C₁₃	1	2	yes	—
705	C₂×#41	C₂³×C₁₃	1	2	yes	—
706	C₂×#41	C₂³×C₁₃	1	2	yes	—
707	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
708	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
709	#137	—	4	4	no	—
710	#137	—	4	4	no	—
711	#135	—	4	4	no	—
712	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
713	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
714	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
715	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
716	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
717	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
718	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
719	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
720	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
721	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
722	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
723	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
724	C₂×D₈	C₂³×C₁₃	1	2	yes	—
725	C₂×D₈	C₂³×C₁₃	1	2	yes	—
726	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
727	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
728	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
729	C₄⋊Q₈	—	2	1	no	—
730	C₄⋊Q₈	—	2	2	no	—
731	C₄⋊Q₈	—	2	1	no	—
732	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
733	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
734	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
735	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
736	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
737	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
738	#127	—	2	1	no	—
739	#127	—	2	1	no	—
740	#127	C₂³×C₁₃	1	1	yes	characteristic
741	#127	C₂³×C₁₃	1	1	yes	characteristic
742	#126	—	2	2	no	—
743	#126	—	2	2	no	—
744	#126	D₄×C₁₃	1	2	yes	—
745	#125	—	2	1	no	—
746	#125	—	2	2	no	—
747	#125	—	2	1	no	—
748	#125	—	2	1	no	—
749	#125	D₄×C₁₃	1	1	yes	characteristic
750	#124	—	2	1	no	—
751	#124	—	2	1	no	—
752	#124	—	2	2	no	—
753	#124	—	2	2	no	—
754	#124	—	2	2	no	—
755	#124	—	2	2	no	—
756	#124	—	2	1	no	—
757	#124	D₄×C₁₃	1	1	yes	characteristic
758	#124	C₂³×C₁₃	1	2	yes	—
759	#124	C₂³×C₁₃	1	2	yes	—
760	#124	C₂³×C₁₃	1	2	yes	—
761	#123	—	2	2	no	—
762	#123	—	2	2	no	—
763	#123	—	2	2	no	—
764	#123	—	2	2	no	—
765	#123	—	2	2	no	—
766	#123	—	2	2	no	—
767	#123	—	2	2	no	—
768	#123	—	2	2	no	—
769	#123	—	2	2	no	—
770	#123	—	2	2	no	—
771	#123	D₄×C₁₃	1	2	yes	—
772	C₂²⋊Q₈	—	2	1	no	—
773	C₂²⋊Q₈	—	2	2	no	—
774	C₂²⋊Q₈	—	2	2	no	—
775	C₂²⋊Q₈	—	2	2	no	—
776	C₂²⋊Q₈	—	2	2	no	—
777	C₂²⋊Q₈	—	2	2	no	—
778	C₂²⋊Q₈	—	2	2	no	—
779	C₂²⋊Q₈	—	2	2	no	—
780	C₂²⋊Q₈	—	2	2	no	—
781	C₂²⋊Q₈	—	2	2	no	—
782	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
783	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
784	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
785	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
786	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
787	#121	—	2	2	no	—
788	#121	—	2	2	no	—
789	#121	—	2	2	no	—
790	#121	—	2	1	no	—
791	#121	—	2	1	no	—
792	#121	—	2	1	no	—
793	#121	—	2	2	no	—
794	#121	—	2	2	no	—
795	#121	D₄×C₁₃	1	1	yes	characteristic
796	#121	C₂³×C₁₃	1	2	yes	—
797	#121	C₂³×C₁₃	1	2	yes	—
798	#121	C₂³×C₁₃	1	2	yes	—
799	C₄×Q₈	—	2	1	no	—
800	C₄×Q₈	—	2	1	no	—
801	C₄×Q₈	—	2	1	no	—
802	C₄×Q₈	—	2	1	no	—
803	C₄×Q₈	—	2	1	no	—
804	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
805	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
806	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
807	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
808	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
809	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
810	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
811	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
812	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	2	2	no	—
820	C₄×D₄	—	2	2	no	—
821	C₄×D₄	—	2	2	no	—
822	C₄×D₄	—	2	2	no	—
823	C₄×D₄	—	2	1	no	—
824	C₄×D₄	—	2	1	no	—
825	C₄×D₄	—	2	1	no	—
826	C₄×D₄	C₂³×C₁₃	1	2	yes	—
827	C₄×D₄	C₂³×C₁₃	1	2	yes	—
828	C₄×D₄	C₂³×C₁₃	1	2	yes	—
829	C₄×D₄	C₂³×C₁₃	1	2	yes	—
830	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
831	#117	—	2	1	no	—
832	#117	—	2	2	no	—
833	#117	C₂³×C₁₃	1	2	yes	—
834	C₂×C₄⋊C₄	—	2	1	no	—
835	C₂×C₄⋊C₄	—	2	2	no	—
836	C₂×C₄⋊C₄	—	2	2	no	—
837	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
838	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
839	C₂×C₄²	—	2	1	no	—
840	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
841	#107	C₂³×C₁₃	1	1	yes	characteristic
842	#107	C₂³×C₁₃	1	1	yes	characteristic
843	#107	C₂³×C₁₃	1	1	yes	characteristic
844	#107	C₂³×C₁₃	1	1	yes	characteristic
845	#107	C₂³×C₁₃	1	2	yes	—
846	#107	C₂³×C₁₃	1	2	yes	—
847	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
848	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
849	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
850	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
851	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
852	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
853	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
854	#103	C₂³×C₁₃	1	1	yes	characteristic
855	#103	C₂³×C₁₃	1	2	yes	—
856	#103	C₂³×C₁₃	1	2	yes	—
857	#103	C₂³×C₁₃	1	2	yes	—
858	#103	C₂³×C₁₃	1	1	yes	characteristic
859	#103	C₂³×C₁₃	1	2	yes	—
860	#103	C₂³×C₁₃	1	2	yes	—
861	#103	C₂³×C₁₃	1	1	yes	characteristic
862	#103	C₂³×C₁₃	1	1	yes	characteristic
863	#103	C₂³×C₁₃	1	1	yes	characteristic
864	#103	C₂³×C₁₃	1	1	yes	characteristic
865	#103	C₂³×C₁₃	1	2	yes	—
866	#103	C₂³×C₁₃	1	1	yes	characteristic
867	#103	C₂³×C₁₃	1	1	yes	characteristic
868	#102	C₂³×C₁₃	1	2	yes	—
869	#102	C₂³×C₁₃	1	2	yes	—
870	#102	C₂³×C₁₃	1	2	yes	—
871	#102	C₂³×C₁₃	1	2	yes	—
872	#102	C₂³×C₁₃	1	2	yes	—
873	#102	C₂³×C₁₃	1	2	yes	—
874	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
875	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
876	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
877	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
878	#97	C₂³×C₁₃	1	2	yes	—
879	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
880	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
881	C₄×C₈	C₂³×C₁₃	1	2	yes	—
882	C₂×C₁₃	—	4	1	no	—
883	C₂×C₁₃	—	4	2	no	—
884	C₂×C₁₃	—	8	2	no	—
885	C₂×C₁₃	—	8	2	no	—
886	C₂×C₁₃	#3488	1	1	yes	characteristic
887	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
888	C₂×C₁₃	#3585	1	1	yes	characteristic
889	#41	—	2	4	no	—
890	#41	—	4	2	no	—
891	#41	—	4	2	no	—
892	#41	—	4	2	no	—
893	#41	—	4	2	no	—
894	#41	—	4	2	no	—
895	#41	—	8	2	no	—
896	#41	—	8	4	no	—
897	C₂×Q₈	—	2	1	no	—
898	C₂×Q₈	—	2	1	no	—
899	C₂×Q₈	—	2	2	no	—
900	C₂×Q₈	—	2	2	no	—
901	C₂×Q₈	—	2	1	no	—
902	C₂×Q₈	—	2	2	no	—
903	C₂×Q₈	—	4	1	no	—
904	C₂×Q₈	—	4	2	no	—
905	C₂×Q₈	—	4	2	no	—
906	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
907	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
908	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
909	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
910	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
911	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	2	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	1	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	1	no	—
921	C₂×D₄	—	2	1	no	—
922	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
923	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
924	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
925	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	—	2	1	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	2	no	—
936	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
937	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
938	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
939	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
940	Q₁₆	—	2	2	no	—
941	Q₁₆	—	2	2	no	—
942	Q₁₆	—	2	4	no	—
943	Q₁₆	—	4	2	no	—
944	Q₁₆	—	4	1	no	—
945	Q₁₆	—	4	1	no	—
946	SD₁₆	—	2	4	no	—
947	SD₁₆	—	4	2	no	—
948	SD₁₆	—	4	2	no	—
949	SD₁₆	—	4	2	no	—
950	SD₁₆	—	4	2	no	—
951	SD₁₆	—	4	2	no	—
952	D₈	—	4	2	no	—
953	D₈	—	4	2	no	—
954	M₁₆	—	4	2	no	—
955	M₁₆	—	4	2	no	—
956	C₂×C₈	—	4	2	no	—
957	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
958	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
959	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
960	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
961	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
962	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	1	no	—
986	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
987	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
988	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
989	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
990	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
991	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
992	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
993	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
994	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
995	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
996	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
997	C₂²⋊C₄	—	2	1	no	—
998	C₂²⋊C₄	—	2	1	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1014	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1015	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1016	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1017	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1018	C₄²	—	2	1	no	—
1019	C₄²	—	2	1	no	—
1020	C₄²	—	2	1	no	—
1021	C₄²	—	2	1	no	—
1022	C₄²	—	2	2	no	—
1023	C₄²	—	2	1	no	—
1024	C₄²	—	2	1	no	—
1025	C₄²	—	2	2	no	—
1026	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1027	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1028	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1029	C₄²	C₂⁴×C₁₃	1	2	yes	—
1030	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1031	C₁₃	#62046	1	1	yes	characteristic, direct product factor, Sylow
1032	C₂³	—	2	2	no	—
1033	C₂³	—	2	2	no	—
1034	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1035	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1036	Q₈	—	2	2	no	—
1037	Q₈	—	2	1	no	—
1038	Q₈	—	2	1	no	—
1039	Q₈	—	2	1	no	—
1040	Q₈	—	2	1	no	—
1041	Q₈	—	2	2	no	—
1042	Q₈	—	2	2	no	—
1043	Q₈	—	2	1	no	—
1044	Q₈	—	2	1	no	—
1045	Q₈	—	2	1	no	—
1046	Q₈	—	4	2	no	—
1047	Q₈	—	8	2	no	—
1048	Q₈	—	8	1	no	—
1049	Q₈	—	8	2	no	—
1050	Q₈	—	8	1	no	—
1051	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1052	D₄	—	2	2	no	—
1053	D₄	—	2	2	no	—
1054	D₄	—	2	2	no	—
1055	D₄	—	2	2	no	—
1056	D₄	—	2	2	no	—
1057	D₄	—	4	2	no	—
1058	D₄	—	4	4	no	—
1059	D₄	—	4	4	no	—
1060	D₄	—	4	2	no	—
1061	D₄	—	4	2	no	—
1062	D₄	—	8	1	no	—
1063	D₄	—	8	1	no	—
1064	D₄	—	8	2	no	—
1065	D₄	—	8	2	no	—
1066	D₄	—	8	2	no	—
1067	D₄	—	8	2	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	4	1	no	—
1084	C₂×C₄	—	4	4	no	—
1085	C₂×C₄	—	4	2	no	—
1086	C₂×C₄	—	4	2	no	—
1087	C₂×C₄	—	8	2	no	—
1088	C₂×C₄	—	8	2	no	—
1089	C₂×C₄	—	8	2	no	—
1090	C₂×C₄	—	8	2	no	—
1091	C₂×C₄	—	8	2	no	—
1092	C₂×C₄	—	8	2	no	—
1093	C₂×C₄	—	8	2	no	—
1094	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1095	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1096	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1097	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1098	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1099	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1100	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1101	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1102	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1103	C₈	—	2	1	no	—
1104	C₈	—	2	2	no	—
1105	C₈	—	2	1	no	—
1106	C₈	—	2	2	no	—
1107	C₈	—	2	1	no	—
1108	C₈	—	2	1	no	—
1109	C₂²	—	2	1	no	—
1110	C₂²	—	2	2	no	—
1111	C₂²	—	2	1	no	—
1112	C₂²	—	2	2	no	—
1113	C₂²	—	2	1	no	—
1114	C₂²	—	2	2	no	—
1115	C₂²	—	4	2	no	—
1116	C₂²	—	4	2	no	—
1117	C₂²	—	4	2	no	—
1118	C₂²	—	4	2	no	—
1119	C₂²	—	4	2	no	—
1120	C₂²	—	4	2	no	—
1121	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1122	C₄	—	2	1	no	—
1123	C₄	—	2	2	no	—
1124	C₄	—	2	1	no	—
1125	C₄	—	2	1	no	—
1126	C₄	—	2	2	no	—
1127	C₄	—	2	2	no	—
1128	C₄	—	2	1	no	—
1129	C₄	—	2	2	no	—
1130	C₄	—	4	1	no	—
1131	C₄	—	4	1	no	—
1132	C₄	—	4	2	no	—
1133	C₄	—	4	1	no	—
1134	C₄	—	4	1	no	—
1135	C₄	—	4	1	no	—
1136	C₄	—	4	1	no	—
1137	C₄	—	4	2	no	—
1138	C₄	—	4	1	no	—
1139	C₄	C₁₃×#578	1	2	yes	—
1140	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1141	C₄	C₁₃×#585	1	1	yes	characteristic
1142	C₂	—	4	1	no	—
1143	C₂	—	4	2	no	—
1144	C₂	—	8	2	no	—
1145	C₂	—	8	2	no	—
1146	C₂	C₁₃×#3488	1	1	yes	characteristic
1147	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
1148	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3554	C₂	semidirect
2. C₁₃×#3522	C₂	semidirect
3. C₁₃×#3400	C₂	semidirect
4. C₁₃×#3396	C₂	semidirect
5. C₁₃×#3375	C₂	semidirect
6. C₁₃×#3363	C₂	semidirect
7. C₁₃×#3333	C₂	semidirect
8. C₁₃×#3330	C₂	semidirect
9. C₁₃×#3308	C₂	semidirect
10. C₁₃×#3299	C₂	semidirect
11. C₁₃×#3287	C₂	semidirect
12. C₁₃×#3278	C₂	semidirect
13. C₁₃×#3277	C₂	semidirect
14. C₁₃×#3269	C₂	semidirect
15. C₁₃×#3262	C₂	semidirect
16. C₁₃×#3254	C₂	semidirect
17. C₁₃×#3225	C₂	semidirect
18. C₁₃×#3207	C₂	semidirect
19. C₁₃×#3124	C₂	semidirect
20. C₁₃×#3104	C₂	semidirect
21. C₁₃×#3046	C₂	semidirect
22. C₁₃×#3037	C₂	semidirect
23. C₁₃×#2993	C₂	semidirect
315. #62046	C₁₃	direct (N × H)
458. #3554	C₂×C₁₃	semidirect
459. #3522	C₂×C₁₃	semidirect
460. #3400	C₂×C₁₃	semidirect
461. #3396	C₂×C₁₃	semidirect
462. #3375	C₂×C₁₃	semidirect
463. #3363	C₂×C₁₃	semidirect
464. #3333	C₂×C₁₃	semidirect
465. #3330	C₂×C₁₃	semidirect
466. #3308	C₂×C₁₃	semidirect
467. #3299	C₂×C₁₃	semidirect
468. #3287	C₂×C₁₃	semidirect
469. #3278	C₂×C₁₃	semidirect
470. #3277	C₂×C₁₃	semidirect
471. #3269	C₂×C₁₃	semidirect
472. #3262	C₂×C₁₃	semidirect
473. #3254	C₂×C₁₃	semidirect
474. #3225	C₂×C₁₃	semidirect
475. #3207	C₂×C₁₃	semidirect
476. #3124	C₂×C₁₃	semidirect
477. #3104	C₂×C₁₃	semidirect
478. #3046	C₂×C₁₃	semidirect
479. #3037	C₂×C₁₃	semidirect
480. #2993	C₂×C₁₃	semidirect
1031. C₁₃	#62046	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3554	2
C₁₃×#3522	2
C₁₃×#3400	2
C₁₃×#3396	2
C₁₃×#3375	2
C₁₃×#3363	2
C₁₃×#3333	2
C₁₃×#3330	2
C₁₃×#3308	2
C₁₃×#3299	2
C₁₃×#3287	2
C₁₃×#3278	2
C₁₃×#3277	2
C₁₃×#3269	2
C₁₃×#3262	2
C₁₃×#3254	2
C₁₃×#3225	2
C₁₃×#3207	2
C₁₃×#3124	2
C₁₃×#3104	2
C₁₃×#3046	2
C₁₃×#3037	2
C₁₃×#2993	2
#62046	13

Subgroups — C13×#62046 #15748385

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62046 #15748385