Subgroups — C₁₃×#61283 #15747622

Order 3328.

1824 conjugacy classes of subgroups.

The subgroup lattice has 1138 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3512	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3355	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3351	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3348	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3347	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3345	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3343	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3339	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3337	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3166	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3099	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3098	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3096	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3096	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₁₃×#478	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2935	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2913	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2912	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
27	C₁₃×#559	—	2	1	no	—
28	C₁₃×#559	—	2	1	no	—
29	C₁₃×#556	—	2	1	no	—
30	C₁₃×#555	C₂²	1	2	yes	—
31	C₁₃×#553	—	2	2	no	—
32	C₁₃×#553	—	2	2	no	—
33	C₁₃×#553	C₂²	1	2	yes	—
34	C₁₃×#553	C₂²	1	2	yes	—
35	C₁₃×#553	C₂²	1	2	yes	complemented
36	C₁₃×#553	C₂²	1	2	yes	complemented
37	C₁₃×#552	C₂²	1	2	yes	complemented
38	C₁₃×#552	C₂²	1	2	yes	complemented
39	C₁₃×#550	—	2	1	no	—
40	C₁₃×#547	C₂²	1	2	yes	—
41	C₁₃×#541	—	2	1	no	—
42	C₁₃×#540	—	2	1	no	—
43	C₁₃×#538	—	2	2	no	—
44	C₁₃×#537	C₂²	1	1	yes	characteristic
45	C₁₃×#537	C₂²	1	1	yes	characteristic
46	C₁₃×#535	C₂²	1	1	yes	characteristic
47	C₁₃×#535	C₂²	1	1	yes	characteristic
48	C₁₃×#533	C₂²	1	1	yes	characteristic
49	C₁₃×#532	C₂²	1	1	yes	characteristic
50	C₁₃×#529	—	2	1	no	—
51	C₁₃×#529	—	2	1	no	—
52	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
53	C₁₃×#525	—	2	2	no	—
54	C₁₃×#520	C₂²	1	1	yes	characteristic
55	C₁₃×#520	C₂²	1	1	yes	characteristic
56	C₁₃×#520	C₂²	1	1	yes	characteristic
57	C₁₃×#520	C₂²	1	1	yes	characteristic
58	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
59	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
60	C₁₃×#501	C₂²	1	2	yes	complemented
61	C₁₃×#501	C₂²	1	2	yes	complemented
62	C₁₃×#499	C₂²	1	2	yes	complemented
63	C₁₃×#499	C₂²	1	2	yes	complemented
64	C₁₃×#485	C₂²	1	2	yes	complemented
65	C₁₃×#485	C₂²	1	2	yes	complemented
66	C₁₃×#484	C₂²	1	2	yes	complemented
67	C₁₃×#483	C₂²	1	2	yes	complemented
68	C₁₃×#482	C₂²	1	2	yes	—
69	C₁₃×#482	C₂²	1	2	yes	—
70	C₁₃×#482	C₂²	1	2	yes	—
71	C₁₃×#482	C₂²	1	2	yes	—
72	C₁₃×#482	C₂²	1	2	yes	complemented
73	C₁₃×#482	C₂²	1	2	yes	complemented
74	C₁₃×#481	C₂²	1	2	yes	—
75	C₁₃×#481	C₂²	1	2	yes	—
76	C₁₃×#481	C₂²	1	2	yes	complemented
77	C₁₃×#480	C₂²	1	2	yes	—
78	C₁₃×#480	C₂²	1	2	yes	—
79	C₁₃×#480	C₂²	1	2	yes	complemented
80	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#478	C₂²	1	2	yes	—
83	C₁₃×#478	C₂²	1	2	yes	—
84	C₁₃×#478	C₂²	1	2	yes	—
85	C₁₃×#478	C₂²	1	2	yes	—
86	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#469	C₂²	1	2	yes	—
93	C₁₃×#469	C₂²	1	2	yes	—
94	C₁₃×#468	C₂²	1	2	yes	—
95	C₁₃×#468	C₂²	1	2	yes	—
96	C₁₃×#466	C₂²	1	2	yes	—
97	C₁₃×#466	C₂²	1	2	yes	—
98	C₁₃×#465	C₂²	1	2	yes	—
99	C₁₃×#465	C₂²	1	2	yes	—
100	C₁₃×#442	C₂²	1	2	yes	—
101	C₁₃×#440	C₂²	1	2	yes	—
102	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
103	C₄×C₁₃×D₈	C₂²	1	2	yes	—
104	C₁₃×#436	C₂²	1	2	yes	complemented
105	C₁₃×#435	C₂²	1	2	yes	complemented
106	C₁₃×#435	C₂²	1	2	yes	complemented
107	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
108	C₁₃×#428	C₂²	1	1	yes	characteristic
109	C₁₃×#428	C₂²	1	1	yes	characteristic
110	C₁₃×#428	C₂²	1	1	yes	characteristic
111	C₁₃×#428	C₂²	1	1	yes	characteristic
112	C₁₃×#428	C₂²	1	1	yes	characteristic
113	C₁₃×#428	C₂²	1	2	yes	complemented
114	C₁₃×#428	C₂²	1	2	yes	complemented
115	C₁₃×#428	C₂²	1	2	yes	complemented
116	C₁₃×#428	C₂²	1	2	yes	complemented
117	C₁₃×#427	C₂²	1	1	yes	characteristic
118	C₁₃×#427	C₂²	1	1	yes	characteristic
119	C₁₃×#427	C₂²	1	2	yes	complemented
120	C₁₃×#427	C₂²	1	2	yes	complemented
121	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
122	C₂×C₁₃×#107	C₂²	1	2	yes	complemented
123	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
124	C₂×C₁₃×#106	C₂²	1	2	yes	complemented
125	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
126	C₁₃×#418	C₂²	1	1	yes	characteristic
127	C₁₃×#417	C₂²	1	1	yes	characteristic
128	C₁₃×#416	C₂²	1	1	yes	characteristic
129	C₁₃×#416	C₂²	1	1	yes	characteristic
130	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
131	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
132	C₁₃×#408	C₂²	1	1	yes	characteristic
133	C₁₃×#408	C₂²	1	1	yes	characteristic
134	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	—	2	2	no	—
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃	—	2	1	no	—
141	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
142	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
143	C₂×C₁₃×D₈	C₂³	1	2	yes	—
144	C₁₃×#131	—	2	4	no	—
145	C₁₃×#131	—	2	4	no	—
146	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
150	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
151	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
152	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
153	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
154	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
155	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
156	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
157	C₁₃×#127	—	2	1	no	—
158	C₁₃×#127	—	2	1	no	—
159	C₁₃×#127	D₄	1	1	yes	characteristic
160	C₁₃×#126	—	2	2	no	—
161	C₁₃×#126	—	2	2	no	—
162	C₁₃×#126	—	2	2	no	—
163	C₁₃×#126	—	2	2	no	—
164	C₁₃×#126	—	2	2	no	—
165	C₁₃×#126	—	2	2	no	—
166	C₁₃×#125	—	2	2	no	—
167	C₁₃×#125	—	2	2	no	—
168	C₁₃×#125	—	2	1	no	—
169	C₁₃×#125	—	2	1	no	—
170	C₁₃×#125	C₂³	1	2	yes	—
171	C₁₃×#125	C₂³	1	2	yes	—
172	C₁₃×#125	C₂³	1	1	yes	characteristic
173	C₁₃×#125	C₂³	1	1	yes	characteristic
174	C₁₃×#124	—	2	1	no	—
175	C₁₃×#124	—	2	1	no	—
176	C₁₃×#124	—	2	2	no	—
177	C₁₃×#124	—	2	2	no	—
178	C₁₃×#124	D₄	1	1	yes	characteristic
179	C₁₃×#124	D₄	1	1	yes	characteristic
180	C₁₃×#123	—	2	2	no	—
181	C₁₃×#123	—	2	2	no	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×#123	—	2	2	no	—
184	C₁₃×#123	—	2	2	no	—
185	C₁₃×#123	—	2	2	no	—
186	C₁₃×#123	—	2	2	no	—
187	C₁₃×#123	—	2	2	no	—
188	C₁₃×C₂²⋊Q₈	—	2	1	no	—
189	C₁₃×C₂²⋊Q₈	—	2	1	no	—
190	C₁₃×C₂²⋊Q₈	—	2	1	no	—
191	C₁₃×C₂²⋊Q₈	—	2	1	no	—
192	C₁₃×C₂²⋊Q₈	—	2	2	no	—
193	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
194	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
195	C₁₃×#121	—	2	2	no	—
196	C₁₃×#121	—	2	1	no	—
197	C₁₃×#121	—	2	1	no	—
198	C₁₃×#121	—	2	2	no	—
199	C₁₃×#121	—	2	2	no	—
200	C₁₃×#121	—	2	2	no	—
201	C₁₃×#121	—	2	2	no	—
202	C₁₃×#121	—	2	2	no	—
203	C₁₃×#121	—	2	2	no	—
204	C₁₃×#121	D₄	1	2	yes	—
205	C₁₃×#121	D₄	1	2	yes	—
206	C₁₃×#121	C₂³	1	2	yes	—
207	C₁₃×#121	C₂³	1	2	yes	—
208	C₁₃×#121	C₂³	1	2	yes	—
209	C₁₃×#121	C₂³	1	2	yes	—
210	C₁₃×#121	C₂³	1	2	yes	—
211	C₁₃×#121	C₂³	1	2	yes	—
212	C₁₃×#120	—	2	2	no	—
213	C₁₃×#120	—	2	2	no	—
214	C₄×Q₈×C₁₃	—	2	1	no	—
215	C₄×Q₈×C₁₃	—	2	1	no	—
216	C₄×Q₈×C₁₃	—	2	1	no	—
217	C₄×Q₈×C₁₃	—	2	1	no	—
218	C₄×Q₈×C₁₃	—	2	1	no	—
219	C₄×Q₈×C₁₃	—	2	1	no	—
220	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₄×D₄×C₁₃	—	2	2	no	—
223	C₄×D₄×C₁₃	—	2	2	no	—
224	C₄×D₄×C₁₃	—	2	1	no	—
225	C₄×D₄×C₁₃	—	2	1	no	—
226	C₄×D₄×C₁₃	—	2	1	no	—
227	C₄×D₄×C₁₃	—	2	1	no	—
228	C₄×D₄×C₁₃	—	2	2	no	—
229	C₄×D₄×C₁₃	—	2	2	no	—
230	C₄×D₄×C₁₃	—	2	1	no	—
231	C₄×D₄×C₁₃	—	2	1	no	—
232	C₄×D₄×C₁₃	—	2	2	no	—
233	C₄×D₄×C₁₃	—	2	2	no	—
234	C₄×D₄×C₁₃	—	2	2	no	—
235	C₄×D₄×C₁₃	—	2	2	no	—
236	C₄×D₄×C₁₃	—	2	1	no	—
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₁₃	C₂³	1	2	yes	—
240	C₄×D₄×C₁₃	C₂³	1	2	yes	—
241	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	C₂³	1	2	yes	—
243	C₄×D₄×C₁₃	C₂³	1	2	yes	—
244	C₁₃×#117	—	2	2	no	—
245	C₁₃×#117	—	2	2	no	—
246	C₁₃×#117	—	2	2	no	—
247	C₁₃×#117	—	2	1	no	—
248	C₁₃×#117	C₂³	1	1	yes	characteristic
249	C₁₃×#117	C₂³	1	1	yes	characteristic
250	C₁₃×#117	C₂³	1	1	yes	characteristic
251	C₁₃×#117	C₂³	1	2	yes	—
252	C₁₃×#117	C₂³	1	2	yes	—
253	C₁₃×#117	C₂³	1	2	yes	—
254	C₁₃×#117	C₂³	1	2	yes	—
255	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
256	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
264	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
265	C₂×C₄²×C₁₃	—	2	1	no	—
266	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
267	C₁₃×#107	C₂³	1	2	yes	—
268	C₁₃×#107	C₂³	1	2	yes	—
269	C₁₃×#107	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	2	yes	—
271	C₁₃×#107	C₂³	1	2	yes	—
272	C₁₃×#107	C₂³	1	1	yes	characteristic
273	C₁₃×#107	C₂³	1	1	yes	characteristic
274	C₁₃×#107	C₂³	1	1	yes	characteristic
275	C₁₃×#107	C₂³	1	2	yes	—
276	C₁₃×#107	C₂³	1	2	yes	—
277	C₁₃×#107	C₂³	1	2	yes	—
278	C₁₃×#106	C₂³	1	2	yes	—
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×#106	C₂³	1	1	yes	characteristic
281	C₁₃×#106	C₂³	1	2	yes	—
282	C₁₃×#106	C₂³	1	2	yes	—
283	C₁₃×#106	C₂³	1	1	yes	characteristic
284	C₁₃×#106	C₂³	1	1	yes	characteristic
285	C₁₃×#106	C₂³	1	1	yes	characteristic
286	C₁₃×#106	C₂³	1	2	yes	—
287	C₁₃×#106	C₂³	1	2	yes	—
288	C₁₃×#106	C₂³	1	2	yes	—
289	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
290	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
291	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
292	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
293	C₁₃×#103	C₂³	1	1	yes	characteristic
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	2	yes	—
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×#102	C₂³	1	1	yes	characteristic
303	C₁₃×#102	C₂³	1	1	yes	characteristic
304	C₁₃×#102	C₂³	1	1	yes	characteristic
305	C₁₃×#102	C₂³	1	1	yes	characteristic
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×#102	C₂³	1	2	yes	—
308	C₁₃×#102	C₂³	1	2	yes	—
309	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
312	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
313	C₁₃×#97	C₂³	1	2	yes	—
314	C₄×C₈×C₁₃	C₂³	1	2	yes	—
315	#61283	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₃	—	2	1	no	—
317	C₁₃×#41	—	2	2	no	—
318	C₁₃×#41	—	2	2	no	—
319	C₁₃×#41	—	2	2	no	—
320	C₁₃×#41	—	2	2	no	—
321	C₁₃×#41	—	2	2	no	—
322	C₁₃×#41	—	2	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	C₂×D₄	1	1	yes	characteristic
327	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
328	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
329	C₂×D₄×C₁₃	—	2	1	no	—
330	C₂×D₄×C₁₃	—	2	2	no	—
331	C₂×D₄×C₁₃	—	2	2	no	—
332	C₂×D₄×C₁₃	—	2	2	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	1	no	—
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
340	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
341	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
342	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
343	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
344	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
345	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
346	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
347	C₂²×C₄×C₁₃	—	2	1	no	—
348	C₂²×C₄×C₁₃	—	2	1	no	—
349	C₂²×C₄×C₁₃	—	2	1	no	—
350	C₂²×C₄×C₁₃	—	2	2	no	—
351	C₂²×C₄×C₁₃	—	2	2	no	—
352	C₂²×C₄×C₁₃	—	2	2	no	—
353	C₂²×C₄×C₁₃	—	2	2	no	—
354	C₂²×C₄×C₁₃	—	2	1	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	—	2	1	no	—
357	C₂²×C₄×C₁₃	—	2	1	no	—
358	C₂²×C₄×C₁₃	—	2	2	no	—
359	C₂²×C₄×C₁₃	—	8	2	no	—
360	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
361	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
362	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
363	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
364	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₁₃×SD₁₆	—	2	4	no	—
366	C₁₃×D₈	—	2	4	no	—
367	C₁₃×M₁₆	—	2	2	no	—
368	C₁₃×M₁₆	—	2	4	no	—
369	C₁₃×M₁₆	—	2	4	no	—
370	C₁₃×M₁₆	#41	1	4	yes	complemented
371	C₂×C₈×C₁₃	—	2	2	no	—
372	C₂×C₈×C₁₃	—	2	2	no	—
373	C₂×C₈×C₁₃	—	2	4	no	—
374	C₂×C₈×C₁₃	—	2	4	no	—
375	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
376	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
381	C₁₃×C₄⋊C₄	—	2	2	no	—
382	C₁₃×C₄⋊C₄	—	2	2	no	—
383	C₁₃×C₄⋊C₄	—	2	2	no	—
384	C₁₃×C₄⋊C₄	—	2	2	no	—
385	C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₁₃×C₄⋊C₄	—	2	1	no	—
387	C₁₃×C₄⋊C₄	—	2	1	no	—
388	C₁₃×C₄⋊C₄	—	2	2	no	—
389	C₁₃×C₄⋊C₄	—	2	2	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	1	no	—
393	C₁₃×C₄⋊C₄	—	2	1	no	—
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	1	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	C₂×D₄	1	2	yes	—
403	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
404	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
405	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
406	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
407	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
408	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
409	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
411	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
412	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₂²⋊C₄	—	2	2	no	—
414	C₁₃×C₂²⋊C₄	—	2	2	no	—
415	C₁₃×C₂²⋊C₄	—	2	1	no	—
416	C₁₃×C₂²⋊C₄	—	2	1	no	—
417	C₁₃×C₂²⋊C₄	—	2	1	no	—
418	C₁₃×C₂²⋊C₄	—	2	2	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	2	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	2	no	—
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	C₂×D₄	1	2	yes	—
433	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
434	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
435	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
436	C₄²×C₁₃	—	2	1	no	—
437	C₄²×C₁₃	—	2	1	no	—
438	C₄²×C₁₃	—	2	1	no	—
439	C₄²×C₁₃	—	2	2	no	—
440	C₄²×C₁₃	—	2	2	no	—
441	C₄²×C₁₃	—	2	2	no	—
442	C₄²×C₁₃	—	2	2	no	—
443	C₄²×C₁₃	—	2	1	no	—
444	C₄²×C₁₃	—	2	1	no	—
445	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
446	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
447	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
448	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
449	#3512	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3506	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3355	C₂×C₁₃	1	2	yes	complemented
452	#3351	C₂×C₁₃	1	2	yes	complemented
453	#3348	C₂×C₁₃	1	2	yes	complemented
454	#3347	C₂×C₁₃	1	2	yes	complemented
455	#3345	C₂×C₁₃	1	2	yes	complemented
456	#3343	C₂×C₁₃	1	2	yes	complemented
457	#3339	C₂×C₁₃	1	2	yes	complemented
458	#3337	C₂×C₁₃	1	2	yes	complemented
459	#3166	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3099	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3098	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3096	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3096	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3076	C₂×C₁₃	1	1	yes	characteristic, complemented
465	C₂×#478	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
468	C₄×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#2935	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#2913	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#2912	C₂×C₁₃	1	1	yes	characteristic, complemented
472	C₂³×C₁₃	—	2	1	no	—
473	C₂³×C₁₃	—	2	2	no	—
474	C₂³×C₁₃	—	4	2	no	—
475	C₂³×C₁₃	—	8	1	no	—
476	C₂³×C₁₃	—	8	1	no	—
477	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
478	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
479	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
480	Q₈×C₁₃	—	2	2	no	—
481	Q₈×C₁₃	—	2	2	no	—
482	Q₈×C₁₃	—	2	1	no	—
483	Q₈×C₁₃	—	2	1	no	—
484	Q₈×C₁₃	—	4	2	no	—
485	Q₈×C₁₃	—	8	1	no	—
486	D₄×C₁₃	—	2	4	no	—
487	D₄×C₁₃	—	2	4	no	—
488	D₄×C₁₃	—	2	2	no	—
489	D₄×C₁₃	—	2	2	no	—
490	D₄×C₁₃	—	2	1	no	—
491	D₄×C₁₃	—	2	2	no	—
492	D₄×C₁₃	—	2	2	no	—
493	D₄×C₁₃	—	2	1	no	—
494	D₄×C₁₃	—	4	2	no	—
495	D₄×C₁₃	—	4	2	no	—
496	D₄×C₁₃	—	4	2	no	—
497	D₄×C₁₃	—	4	2	no	—
498	D₄×C₁₃	—	8	2	no	—
499	D₄×C₁₃	—	8	2	no	—
500	D₄×C₁₃	—	8	2	no	—
501	D₄×C₁₃	—	8	2	no	—
502	D₄×C₁₃	—	8	2	no	—
503	D₄×C₁₃	—	8	2	no	—
504	C₂×C₄×C₁₃	—	2	2	no	—
505	C₂×C₄×C₁₃	—	2	2	no	—
506	C₂×C₄×C₁₃	—	2	2	no	—
507	C₂×C₄×C₁₃	—	2	2	no	—
508	C₂×C₄×C₁₃	—	2	1	no	—
509	C₂×C₄×C₁₃	—	2	1	no	—
510	C₂×C₄×C₁₃	—	2	1	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
512	C₂×C₄×C₁₃	—	2	1	no	—
513	C₂×C₄×C₁₃	—	2	2	no	—
514	C₂×C₄×C₁₃	—	2	2	no	—
515	C₂×C₄×C₁₃	—	2	2	no	—
516	C₂×C₄×C₁₃	—	2	1	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	4	1	no	—
519	C₂×C₄×C₁₃	—	4	1	no	—
520	C₂×C₄×C₁₃	—	4	4	no	—
521	C₂×C₄×C₁₃	—	4	2	no	—
522	C₂×C₄×C₁₃	—	8	1	no	—
523	C₂×C₄×C₁₃	—	8	1	no	—
524	C₂×C₄×C₁₃	—	8	2	no	—
525	C₂×C₄×C₁₃	—	8	2	no	—
526	C₂×C₄×C₁₃	—	8	1	no	—
527	C₂×C₄×C₁₃	—	8	2	no	—
528	C₂×C₄×C₁₃	—	8	1	no	—
529	C₂×C₄×C₁₃	—	8	1	no	—
530	C₂×C₄×C₁₃	—	8	2	no	—
531	C₂×C₄×C₁₃	—	8	2	no	—
532	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
533	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
534	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
535	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
536	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
537	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
538	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
539	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
540	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
541	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
542	C₈×C₁₃	—	2	1	no	—
543	C₈×C₁₃	—	2	1	no	—
544	C₈×C₁₃	—	2	1	no	—
545	C₈×C₁₃	—	2	1	no	—
546	C₈×C₁₃	—	2	2	no	—
547	C₈×C₁₃	C₂×#41	1	4	yes	—
548	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
549	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
550	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
551	#559	—	2	1	no	—
552	#559	—	2	1	no	—
553	#556	—	2	1	no	—
554	#555	C₂²×C₁₃	1	2	yes	—
555	#553	—	2	2	no	—
556	#553	—	2	2	no	—
557	#553	C₂²×C₁₃	1	2	yes	—
558	#553	C₂²×C₁₃	1	2	yes	—
559	#553	C₂²×C₁₃	1	2	yes	complemented
560	#553	C₂²×C₁₃	1	2	yes	complemented
561	#552	C₂²×C₁₃	1	2	yes	complemented
562	#552	C₂²×C₁₃	1	2	yes	complemented
563	#550	—	2	1	no	—
564	#547	C₂²×C₁₃	1	2	yes	—
565	#541	—	2	1	no	—
566	#540	—	2	1	no	—
567	#538	—	2	2	no	—
568	#537	C₂²×C₁₃	1	1	yes	characteristic
569	#537	C₂²×C₁₃	1	1	yes	characteristic
570	#535	C₂²×C₁₃	1	1	yes	characteristic
571	#535	C₂²×C₁₃	1	1	yes	characteristic
572	#533	C₂²×C₁₃	1	1	yes	characteristic
573	#532	C₂²×C₁₃	1	1	yes	characteristic
574	#529	—	2	1	no	—
575	#529	—	2	1	no	—
576	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
577	#525	—	2	2	no	—
578	#520	C₂²×C₁₃	1	1	yes	characteristic
579	#520	C₂²×C₁₃	1	1	yes	characteristic
580	#520	C₂²×C₁₃	1	1	yes	characteristic
581	#520	C₂²×C₁₃	1	1	yes	characteristic
582	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
583	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
584	#501	C₂²×C₁₃	1	2	yes	complemented
585	#501	C₂²×C₁₃	1	2	yes	complemented
586	#499	C₂²×C₁₃	1	2	yes	complemented
587	#499	C₂²×C₁₃	1	2	yes	complemented
588	#485	C₂²×C₁₃	1	2	yes	complemented
589	#485	C₂²×C₁₃	1	2	yes	complemented
590	#484	C₂²×C₁₃	1	2	yes	complemented
591	#483	C₂²×C₁₃	1	2	yes	complemented
592	#482	C₂²×C₁₃	1	2	yes	—
593	#482	C₂²×C₁₃	1	2	yes	—
594	#482	C₂²×C₁₃	1	2	yes	—
595	#482	C₂²×C₁₃	1	2	yes	—
596	#482	C₂²×C₁₃	1	2	yes	complemented
597	#482	C₂²×C₁₃	1	2	yes	complemented
598	#481	C₂²×C₁₃	1	2	yes	—
599	#481	C₂²×C₁₃	1	2	yes	—
600	#481	C₂²×C₁₃	1	2	yes	complemented
601	#480	C₂²×C₁₃	1	2	yes	—
602	#480	C₂²×C₁₃	1	2	yes	—
603	#480	C₂²×C₁₃	1	2	yes	complemented
604	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
605	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
606	#478	C₂²×C₁₃	1	2	yes	—
607	#478	C₂²×C₁₃	1	2	yes	—
608	#478	C₂²×C₁₃	1	2	yes	—
609	#478	C₂²×C₁₃	1	2	yes	—
610	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
611	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
612	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
613	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
614	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
615	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
616	#469	C₂²×C₁₃	1	2	yes	—
617	#469	C₂²×C₁₃	1	2	yes	—
618	#468	C₂²×C₁₃	1	2	yes	—
619	#468	C₂²×C₁₃	1	2	yes	—
620	#466	C₂²×C₁₃	1	2	yes	—
621	#466	C₂²×C₁₃	1	2	yes	—
622	#465	C₂²×C₁₃	1	2	yes	—
623	#465	C₂²×C₁₃	1	2	yes	—
624	#442	C₂²×C₁₃	1	2	yes	—
625	#440	C₂²×C₁₃	1	2	yes	—
626	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
627	C₄×D₈	C₂²×C₁₃	1	2	yes	—
628	#436	C₂²×C₁₃	1	2	yes	complemented
629	#435	C₂²×C₁₃	1	2	yes	complemented
630	#435	C₂²×C₁₃	1	2	yes	complemented
631	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
632	#428	C₂²×C₁₃	1	1	yes	characteristic
633	#428	C₂²×C₁₃	1	1	yes	characteristic
634	#428	C₂²×C₁₃	1	1	yes	characteristic
635	#428	C₂²×C₁₃	1	1	yes	characteristic
636	#428	C₂²×C₁₃	1	1	yes	characteristic
637	#428	C₂²×C₁₃	1	2	yes	complemented
638	#428	C₂²×C₁₃	1	2	yes	complemented
639	#428	C₂²×C₁₃	1	2	yes	complemented
640	#428	C₂²×C₁₃	1	2	yes	complemented
641	#427	C₂²×C₁₃	1	1	yes	characteristic
642	#427	C₂²×C₁₃	1	1	yes	characteristic
643	#427	C₂²×C₁₃	1	2	yes	complemented
644	#427	C₂²×C₁₃	1	2	yes	complemented
645	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
646	C₂×#107	C₂²×C₁₃	1	2	yes	complemented
647	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
648	C₂×#106	C₂²×C₁₃	1	2	yes	complemented
649	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
650	#418	C₂²×C₁₃	1	1	yes	characteristic
651	#417	C₂²×C₁₃	1	1	yes	characteristic
652	#416	C₂²×C₁₃	1	1	yes	characteristic
653	#416	C₂²×C₁₃	1	1	yes	characteristic
654	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
655	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
656	#408	C₂²×C₁₃	1	1	yes	characteristic
657	#408	C₂²×C₁₃	1	1	yes	characteristic
658	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
659	C₂²×C₁₃	—	2	1	no	—
660	C₂²×C₁₃	—	2	1	no	—
661	C₂²×C₁₃	—	2	2	no	—
662	C₂²×C₁₃	—	2	2	no	—
663	C₂²×C₁₃	—	2	2	no	—
664	C₂²×C₁₃	—	2	2	no	—
665	C₂²×C₁₃	—	2	2	no	—
666	C₂²×C₁₃	—	2	2	no	—
667	C₂²×C₁₃	—	4	1	no	—
668	C₂²×C₁₃	—	4	2	no	—
669	C₂²×C₁₃	—	4	2	no	—
670	C₂²×C₁₃	—	4	1	no	—
671	C₂²×C₁₃	—	4	1	no	—
672	C₂²×C₁₃	—	4	2	no	—
673	C₂²×C₁₃	—	8	4	no	—
674	C₂²×C₁₃	#547	1	2	yes	—
675	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
676	C₄×C₁₃	—	2	1	no	—
677	C₄×C₁₃	—	2	1	no	—
678	C₄×C₁₃	—	2	1	no	—
679	C₄×C₁₃	—	2	1	no	—
680	C₄×C₁₃	—	2	2	no	—
681	C₄×C₁₃	—	2	2	no	—
682	C₄×C₁₃	—	4	1	no	—
683	C₄×C₁₃	—	4	2	no	—
684	C₄×C₁₃	—	4	1	no	—
685	C₄×C₁₃	—	4	1	no	—
686	C₄×C₁₃	—	4	2	no	—
687	C₄×C₁₃	—	4	1	no	—
688	C₄×C₁₃	—	4	2	no	—
689	C₄×C₁₃	—	4	1	no	—
690	C₄×C₁₃	—	4	1	no	—
691	C₄×C₁₃	—	4	1	no	—
692	C₄×C₁₃	#547	1	2	yes	—
693	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
694	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
695	C₂×#41	—	2	2	no	—
696	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
697	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
698	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
699	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
700	C₂³×C₄	—	2	1	no	—
701	AGL(1,ℤ/8)	—	2	4	no	—
702	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
703	C₂×D₈	C₂³×C₁₃	1	2	yes	—
704	#131	—	2	4	no	—
705	#131	—	2	4	no	—
706	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
707	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
708	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
709	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
710	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
711	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
712	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
713	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
714	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
715	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
716	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
717	#127	—	2	1	no	—
718	#127	—	2	1	no	—
719	#127	D₄×C₁₃	1	1	yes	characteristic
720	#126	—	2	2	no	—
721	#126	—	2	2	no	—
722	#126	—	2	2	no	—
723	#126	—	2	2	no	—
724	#126	—	2	2	no	—
725	#126	—	2	2	no	—
726	#125	—	2	2	no	—
727	#125	—	2	2	no	—
728	#125	—	2	1	no	—
729	#125	—	2	1	no	—
730	#125	C₂³×C₁₃	1	2	yes	—
731	#125	C₂³×C₁₃	1	2	yes	—
732	#125	C₂³×C₁₃	1	1	yes	characteristic
733	#125	C₂³×C₁₃	1	1	yes	characteristic
734	#124	—	2	1	no	—
735	#124	—	2	1	no	—
736	#124	—	2	2	no	—
737	#124	—	2	2	no	—
738	#124	D₄×C₁₃	1	1	yes	characteristic
739	#124	D₄×C₁₃	1	1	yes	characteristic
740	#123	—	2	2	no	—
741	#123	—	2	2	no	—
742	#123	—	2	2	no	—
743	#123	—	2	2	no	—
744	#123	—	2	2	no	—
745	#123	—	2	2	no	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	C₂²⋊Q₈	—	2	1	no	—
749	C₂²⋊Q₈	—	2	1	no	—
750	C₂²⋊Q₈	—	2	1	no	—
751	C₂²⋊Q₈	—	2	1	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
754	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
755	#121	—	2	2	no	—
756	#121	—	2	1	no	—
757	#121	—	2	1	no	—
758	#121	—	2	2	no	—
759	#121	—	2	2	no	—
760	#121	—	2	2	no	—
761	#121	—	2	2	no	—
762	#121	—	2	2	no	—
763	#121	—	2	2	no	—
764	#121	D₄×C₁₃	1	2	yes	—
765	#121	D₄×C₁₃	1	2	yes	—
766	#121	C₂³×C₁₃	1	2	yes	—
767	#121	C₂³×C₁₃	1	2	yes	—
768	#121	C₂³×C₁₃	1	2	yes	—
769	#121	C₂³×C₁₃	1	2	yes	—
770	#121	C₂³×C₁₃	1	2	yes	—
771	#121	C₂³×C₁₃	1	2	yes	—
772	#120	—	2	2	no	—
773	#120	—	2	2	no	—
774	C₄×Q₈	—	2	1	no	—
775	C₄×Q₈	—	2	1	no	—
776	C₄×Q₈	—	2	1	no	—
777	C₄×Q₈	—	2	1	no	—
778	C₄×Q₈	—	2	1	no	—
779	C₄×Q₈	—	2	1	no	—
780	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
781	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
782	C₄×D₄	—	2	2	no	—
783	C₄×D₄	—	2	2	no	—
784	C₄×D₄	—	2	1	no	—
785	C₄×D₄	—	2	1	no	—
786	C₄×D₄	—	2	1	no	—
787	C₄×D₄	—	2	1	no	—
788	C₄×D₄	—	2	2	no	—
789	C₄×D₄	—	2	2	no	—
790	C₄×D₄	—	2	1	no	—
791	C₄×D₄	—	2	1	no	—
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	2	no	—
795	C₄×D₄	—	2	2	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	C₂³×C₁₃	1	2	yes	—
799	C₄×D₄	C₂³×C₁₃	1	2	yes	—
800	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
801	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
802	C₄×D₄	C₂³×C₁₃	1	2	yes	—
803	C₄×D₄	C₂³×C₁₃	1	2	yes	—
804	#117	—	2	2	no	—
805	#117	—	2	2	no	—
806	#117	—	2	2	no	—
807	#117	—	2	1	no	—
808	#117	C₂³×C₁₃	1	1	yes	characteristic
809	#117	C₂³×C₁₃	1	1	yes	characteristic
810	#117	C₂³×C₁₃	1	1	yes	characteristic
811	#117	C₂³×C₁₃	1	2	yes	—
812	#117	C₂³×C₁₃	1	2	yes	—
813	#117	C₂³×C₁₃	1	2	yes	—
814	#117	C₂³×C₁₃	1	2	yes	—
815	C₂×C₄⋊C₄	—	2	1	no	—
816	C₂×C₄⋊C₄	—	2	1	no	—
817	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
818	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
819	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
820	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
821	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
822	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
823	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
824	C₂×C₂²⋊C₄	—	2	1	no	—
825	C₂×C₄²	—	2	1	no	—
826	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
827	#107	C₂³×C₁₃	1	2	yes	—
828	#107	C₂³×C₁₃	1	2	yes	—
829	#107	C₂³×C₁₃	1	1	yes	characteristic
830	#107	C₂³×C₁₃	1	2	yes	—
831	#107	C₂³×C₁₃	1	2	yes	—
832	#107	C₂³×C₁₃	1	1	yes	characteristic
833	#107	C₂³×C₁₃	1	1	yes	characteristic
834	#107	C₂³×C₁₃	1	1	yes	characteristic
835	#107	C₂³×C₁₃	1	2	yes	—
836	#107	C₂³×C₁₃	1	2	yes	—
837	#107	C₂³×C₁₃	1	2	yes	—
838	#106	C₂³×C₁₃	1	2	yes	—
839	#106	C₂³×C₁₃	1	2	yes	—
840	#106	C₂³×C₁₃	1	1	yes	characteristic
841	#106	C₂³×C₁₃	1	2	yes	—
842	#106	C₂³×C₁₃	1	2	yes	—
843	#106	C₂³×C₁₃	1	1	yes	characteristic
844	#106	C₂³×C₁₃	1	1	yes	characteristic
845	#106	C₂³×C₁₃	1	1	yes	characteristic
846	#106	C₂³×C₁₃	1	2	yes	—
847	#106	C₂³×C₁₃	1	2	yes	—
848	#106	C₂³×C₁₃	1	2	yes	—
849	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
850	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
851	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
852	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
853	#103	C₂³×C₁₃	1	1	yes	characteristic
854	#103	C₂³×C₁₃	1	1	yes	characteristic
855	#103	C₂³×C₁₃	1	1	yes	characteristic
856	#103	C₂³×C₁₃	1	1	yes	characteristic
857	#103	C₂³×C₁₃	1	2	yes	—
858	#102	C₂³×C₁₃	1	2	yes	—
859	#102	C₂³×C₁₃	1	2	yes	—
860	#102	C₂³×C₁₃	1	2	yes	—
861	#102	C₂³×C₁₃	1	2	yes	—
862	#102	C₂³×C₁₃	1	1	yes	characteristic
863	#102	C₂³×C₁₃	1	1	yes	characteristic
864	#102	C₂³×C₁₃	1	1	yes	characteristic
865	#102	C₂³×C₁₃	1	1	yes	characteristic
866	#102	C₂³×C₁₃	1	2	yes	—
867	#102	C₂³×C₁₃	1	2	yes	—
868	#102	C₂³×C₁₃	1	2	yes	—
869	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
870	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
871	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
872	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
873	#97	C₂³×C₁₃	1	2	yes	—
874	C₄×C₈	C₂³×C₁₃	1	2	yes	—
875	C₂×C₁₃	—	2	2	no	—
876	C₂×C₁₃	—	4	2	no	—
877	C₂×C₁₃	—	4	2	no	—
878	C₂×C₁₃	—	8	1	no	—
879	C₂×C₁₃	—	8	2	no	—
880	C₂×C₁₃	C₂×#547	1	1	yes	characteristic
881	C₂×C₁₃	#3584	1	1	yes	characteristic
882	C₂×C₁₃	#3585	1	1	yes	characteristic
883	C₂⁴	—	2	1	no	—
884	#41	—	2	2	no	—
885	#41	—	2	2	no	—
886	#41	—	2	2	no	—
887	#41	—	2	2	no	—
888	#41	—	2	2	no	—
889	#41	—	2	2	no	—
890	#41	—	8	4	no	—
891	C₂×Q₈	—	2	1	no	—
892	C₂×Q₈	—	2	1	no	—
893	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
894	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
895	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	2	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	1	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	—	2	2	no	—
906	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
907	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
908	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
909	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
910	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
911	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
912	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
913	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	1	no	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	—	2	1	no	—
924	C₂²×C₄	—	2	1	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	8	2	no	—
927	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
928	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
929	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
930	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
931	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
932	SD₁₆	—	2	4	no	—
933	D₈	—	2	4	no	—
934	M₁₆	—	2	2	no	—
935	M₁₆	—	2	4	no	—
936	M₁₆	—	2	4	no	—
937	M₁₆	C₁₃×#41	1	4	yes	complemented
938	C₂×C₈	—	2	2	no	—
939	C₂×C₈	—	2	2	no	—
940	C₂×C₈	—	2	4	no	—
941	C₂×C₈	—	2	4	no	—
942	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
943	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
944	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
945	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
946	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
947	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
970	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
971	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
972	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
973	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
974	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
975	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
976	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
977	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
978	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
979	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	1	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	1	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1000	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1001	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1002	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1003	C₄²	—	2	1	no	—
1004	C₄²	—	2	1	no	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	2	no	—
1007	C₄²	—	2	2	no	—
1008	C₄²	—	2	2	no	—
1009	C₄²	—	2	2	no	—
1010	C₄²	—	2	1	no	—
1011	C₄²	—	2	1	no	—
1012	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1013	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1014	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1015	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1016	C₁₃	#61283	1	1	yes	characteristic, direct product factor, Sylow
1017	C₂³	—	2	1	no	—
1018	C₂³	—	2	2	no	—
1019	C₂³	—	4	2	no	—
1020	C₂³	—	8	1	no	—
1021	C₂³	—	8	1	no	—
1022	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1023	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1024	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1025	Q₈	—	2	2	no	—
1026	Q₈	—	2	2	no	—
1027	Q₈	—	2	1	no	—
1028	Q₈	—	2	1	no	—
1029	Q₈	—	4	2	no	—
1030	Q₈	—	8	1	no	—
1031	D₄	—	2	4	no	—
1032	D₄	—	2	4	no	—
1033	D₄	—	2	2	no	—
1034	D₄	—	2	2	no	—
1035	D₄	—	2	1	no	—
1036	D₄	—	2	2	no	—
1037	D₄	—	2	2	no	—
1038	D₄	—	2	1	no	—
1039	D₄	—	4	2	no	—
1040	D₄	—	4	2	no	—
1041	D₄	—	4	2	no	—
1042	D₄	—	4	2	no	—
1043	D₄	—	8	2	no	—
1044	D₄	—	8	2	no	—
1045	D₄	—	8	2	no	—
1046	D₄	—	8	2	no	—
1047	D₄	—	8	2	no	—
1048	D₄	—	8	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	4	1	no	—
1064	C₂×C₄	—	4	1	no	—
1065	C₂×C₄	—	4	4	no	—
1066	C₂×C₄	—	4	2	no	—
1067	C₂×C₄	—	8	2	no	—
1068	C₂×C₄	—	8	1	no	—
1069	C₂×C₄	—	8	1	no	—
1070	C₂×C₄	—	8	1	no	—
1071	C₂×C₄	—	8	2	no	—
1072	C₂×C₄	—	8	1	no	—
1073	C₂×C₄	—	8	2	no	—
1074	C₂×C₄	—	8	1	no	—
1075	C₂×C₄	—	8	2	no	—
1076	C₂×C₄	—	8	2	no	—
1077	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1078	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1079	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1080	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1081	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1082	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1083	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1084	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1085	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1086	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1087	C₈	—	2	1	no	—
1088	C₈	—	2	1	no	—
1089	C₈	—	2	1	no	—
1090	C₈	—	2	1	no	—
1091	C₈	—	2	2	no	—
1092	C₈	C₂×C₁₃×#41	1	4	yes	—
1093	C₂²	—	2	1	no	—
1094	C₂²	—	2	1	no	—
1095	C₂²	—	2	2	no	—
1096	C₂²	—	2	2	no	—
1097	C₂²	—	2	2	no	—
1098	C₂²	—	2	2	no	—
1099	C₂²	—	2	2	no	—
1100	C₂²	—	2	2	no	—
1101	C₂²	—	4	1	no	—
1102	C₂²	—	4	2	no	—
1103	C₂²	—	4	2	no	—
1104	C₂²	—	4	1	no	—
1105	C₂²	—	4	1	no	—
1106	C₂²	—	4	2	no	—
1107	C₂²	—	8	4	no	—
1108	C₂²	C₁₃×#547	1	2	yes	—
1109	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1110	C₄	—	2	1	no	—
1111	C₄	—	2	1	no	—
1112	C₄	—	2	1	no	—
1113	C₄	—	2	1	no	—
1114	C₄	—	2	2	no	—
1115	C₄	—	2	2	no	—
1116	C₄	—	4	1	no	—
1117	C₄	—	4	2	no	—
1118	C₄	—	4	1	no	—
1119	C₄	—	4	1	no	—
1120	C₄	—	4	2	no	—
1121	C₄	—	4	1	no	—
1122	C₄	—	4	2	no	—
1123	C₄	—	4	1	no	—
1124	C₄	—	4	1	no	—
1125	C₄	—	4	1	no	—
1126	C₄	C₁₃×#547	1	2	yes	—
1127	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1128	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1129	C₂	—	2	2	no	—
1130	C₂	—	4	2	no	—
1131	C₂	—	4	2	no	—
1132	C₂	—	8	2	no	—
1133	C₂	—	8	1	no	—
1134	C₂	C₂×C₁₃×#547	1	1	yes	characteristic
1135	C₂	C₁₃×#3584	1	1	yes	characteristic
1136	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×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3512	C₂	semidirect
2. C₁₃×#3506	C₂	semidirect
3. C₁₃×#3355	C₂	semidirect
4. C₁₃×#3351	C₂	semidirect
5. C₁₃×#3348	C₂	semidirect
6. C₁₃×#3347	C₂	semidirect
7. C₁₃×#3345	C₂	semidirect
8. C₁₃×#3343	C₂	semidirect
9. C₁₃×#3339	C₂	semidirect
10. C₁₃×#3337	C₂	semidirect
11. C₁₃×#3166	C₂	semidirect
12. C₁₃×#3099	C₂	semidirect
13. C₁₃×#3098	C₂	semidirect
14. C₁₃×#3096	C₂	semidirect
15. C₁₃×#3096	C₂	semidirect
16. C₁₃×#3076	C₂	semidirect
17. C₂×C₁₃×#478	C₂	semidirect
18. C₁₃×#3062	C₂	semidirect
19. C₁₃×#3062	C₂	semidirect
20. C₄×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
21. C₁₃×#2935	C₂	semidirect
22. C₁₃×#2913	C₂	semidirect
23. C₁₃×#2912	C₂	semidirect
35. C₁₃×#553	C₂²	semidirect
36. C₁₃×#553	C₂²	semidirect
37. C₁₃×#552	C₂²	semidirect
38. C₁₃×#552	C₂²	semidirect
60. C₁₃×#501	C₂²	semidirect
61. C₁₃×#501	C₂²	semidirect
62. C₁₃×#499	C₂²	semidirect
63. C₁₃×#499	C₂²	semidirect
64. C₁₃×#485	C₂²	semidirect
65. C₁₃×#485	C₂²	semidirect
66. C₁₃×#484	C₂²	semidirect
67. C₁₃×#483	C₂²	semidirect
72. C₁₃×#482	C₂²	semidirect
73. C₁₃×#482	C₂²	semidirect
76. C₁₃×#481	C₂²	semidirect
79. C₁₃×#480	C₂²	semidirect
80. C₁₃×#479	C₂²	semidirect
81. C₁₃×#479	C₂²	semidirect
86. C₁₃×#478	C₂²	semidirect
87. C₁₃×#478	C₂²	semidirect
88. C₁₃×#477	C₂²	semidirect
89. C₁₃×#476	C₂²	semidirect
90. C₁₃×#475	C₂²	semidirect
91. C₁₃×#474	C₂²	semidirect
104. C₁₃×#436	C₂²	semidirect
105. C₁₃×#435	C₂²	semidirect
106. C₁₃×#435	C₂²	semidirect
107. C₈×D₄×C₁₃	C₂²	semidirect
113. C₁₃×#428	C₂²	semidirect
114. C₁₃×#428	C₂²	semidirect
115. C₁₃×#428	C₂²	semidirect
116. C₁₃×#428	C₂²	semidirect
119. C₁₃×#427	C₂²	semidirect
120. C₁₃×#427	C₂²	semidirect
122. C₂×C₁₃×#107	C₂²	semidirect
124. C₂×C₁₃×#106	C₂²	semidirect
315. #61283	C₁₃	direct (N × H)
370. C₁₃×M₁₆	#41	semidirect
449. #3512	C₂×C₁₃	semidirect
450. #3506	C₂×C₁₃	semidirect
451. #3355	C₂×C₁₃	semidirect
452. #3351	C₂×C₁₃	semidirect
453. #3348	C₂×C₁₃	semidirect
454. #3347	C₂×C₁₃	semidirect
455. #3345	C₂×C₁₃	semidirect
456. #3343	C₂×C₁₃	semidirect
457. #3339	C₂×C₁₃	semidirect
458. #3337	C₂×C₁₃	semidirect
459. #3166	C₂×C₁₃	semidirect
460. #3099	C₂×C₁₃	semidirect
461. #3098	C₂×C₁₃	semidirect
462. #3096	C₂×C₁₃	semidirect
463. #3096	C₂×C₁₃	semidirect
464. #3076	C₂×C₁₃	semidirect
465. C₂×#478	C₂×C₁₃	semidirect
466. #3062	C₂×C₁₃	semidirect
467. #3062	C₂×C₁₃	semidirect
468. C₄×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
469. #2935	C₂×C₁₃	semidirect
470. #2913	C₂×C₁₃	semidirect
471. #2912	C₂×C₁₃	semidirect
559. #553	C₂²×C₁₃	semidirect
560. #553	C₂²×C₁₃	semidirect
561. #552	C₂²×C₁₃	semidirect
562. #552	C₂²×C₁₃	semidirect
584. #501	C₂²×C₁₃	semidirect
585. #501	C₂²×C₁₃	semidirect
586. #499	C₂²×C₁₃	semidirect
587. #499	C₂²×C₁₃	semidirect
588. #485	C₂²×C₁₃	semidirect
589. #485	C₂²×C₁₃	semidirect
590. #484	C₂²×C₁₃	semidirect
591. #483	C₂²×C₁₃	semidirect
596. #482	C₂²×C₁₃	semidirect
597. #482	C₂²×C₁₃	semidirect
600. #481	C₂²×C₁₃	semidirect
603. #480	C₂²×C₁₃	semidirect
604. #479	C₂²×C₁₃	semidirect
605. #479	C₂²×C₁₃	semidirect
610. #478	C₂²×C₁₃	semidirect
611. #478	C₂²×C₁₃	semidirect
612. #477	C₂²×C₁₃	semidirect
613. #476	C₂²×C₁₃	semidirect
614. #475	C₂²×C₁₃	semidirect
615. #474	C₂²×C₁₃	semidirect
628. #436	C₂²×C₁₃	semidirect
629. #435	C₂²×C₁₃	semidirect
630. #435	C₂²×C₁₃	semidirect
631. C₈×D₄	C₂²×C₁₃	semidirect
637. #428	C₂²×C₁₃	semidirect
638. #428	C₂²×C₁₃	semidirect
639. #428	C₂²×C₁₃	semidirect
640. #428	C₂²×C₁₃	semidirect
643. #427	C₂²×C₁₃	semidirect
644. #427	C₂²×C₁₃	semidirect
646. C₂×#107	C₂²×C₁₃	semidirect
648. C₂×#106	C₂²×C₁₃	semidirect
937. M₁₆	C₁₃×#41	semidirect
1016. C₁₃	#61283	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×#3512	2
C₁₃×#3506	2
C₁₃×#3355	2
C₁₃×#3351	2
C₁₃×#3348	2
C₁₃×#3347	2
C₁₃×#3345	2
C₁₃×#3343	2
C₁₃×#3339	2
C₁₃×#3337	2
C₁₃×#3166	2
C₁₃×#3099	2
C₁₃×#3098	2
C₁₃×#3096	2
C₁₃×#3076	2
C₂×C₁₃×#478	2
C₁₃×#3062	2
C₄×C₁₃×AGL(1,ℤ/8)	2
C₁₃×#2935	2
C₁₃×#2913	2
C₁₃×#2912	2
#61283	13

Subgroups — C13×#61283 #15747622

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61283 #15747622