Subgroups — C₁₃×#61316 #15747655

Order 3328.

1820 conjugacy classes of subgroups.

The subgroup lattice has 1120 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3480	C₂	1	1	yes	maximal, characteristic, complemented
2	Q₈×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3377	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3376	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3374	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3373	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3372	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3371	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3370	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3369	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3368	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3367	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3366	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3135	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3131	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3076	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3035	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₁₃×#446	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2943	C₂	1	2	yes	maximal, complemented
23	C₄×C₁₃×#135	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#135	C₂²	1	2	yes	—
26	C₁₃×#559	C₂²	1	2	yes	—
27	C₁₃×#559	C₂²	1	1	yes	characteristic
28	Q₈²×C₁₃	C₂²	1	1	yes	characteristic
29	C₁₃×#557	C₂²	1	1	yes	characteristic
30	C₁₃×#557	C₂²	1	1	yes	characteristic
31	C₁₃×#557	C₂²	1	2	yes	—
32	C₁₃×#556	C₂²	1	1	yes	characteristic
33	C₁₃×#556	C₂²	1	2	yes	—
34	C₁₃×#554	—	2	1	no	—
35	C₁₃×#554	—	2	2	no	—
36	C₁₃×#554	C₂²	1	1	yes	characteristic
37	C₁₃×#554	C₂²	1	2	yes	—
38	C₁₃×#553	—	2	1	no	—
39	C₁₃×#553	—	2	2	no	—
40	C₁₃×#550	C₂²	1	1	yes	characteristic
41	D₄×Q₈×C₁₃	—	2	1	no	—
42	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
43	C₁₃×#548	—	2	1	no	—
44	C₁₃×#533	—	2	1	no	—
45	C₁₃×#533	—	2	2	no	—
46	C₁₃×#533	C₂²	1	1	yes	characteristic
47	C₁₃×#533	C₂²	1	2	yes	—
48	C₁₃×#532	C₂²	1	1	yes	characteristic
49	C₁₃×#532	C₂²	1	2	yes	—
50	C₁₃×#529	—	2	1	no	—
51	C₁₃×#529	—	2	2	no	—
52	C₄×C₁₃×#41	—	2	1	no	—
53	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
54	C₄×C₁₃×#41	C₂²	1	2	yes	—
55	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
56	C₄×C₁₃×#41	C₂²	1	2	yes	—
57	C₂×C₄×Q₈×C₁₃	—	2	1	no	—
58	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
59	C₁₃×#491	C₂²	1	2	yes	—
60	C₁₃×#491	C₂²	1	2	yes	—
61	C₁₃×#490	C₂²	1	2	yes	—
62	C₁₃×#490	C₂²	1	2	yes	—
63	C₁₃×#489	C₂²	1	2	yes	—
64	C₁₃×#489	C₂²	1	2	yes	—
65	C₁₃×#489	C₂²	1	2	yes	—
66	C₁₃×#489	C₂²	1	2	yes	—
67	C₁₃×#488	C₂²	1	2	yes	—
68	C₁₃×#488	C₂²	1	2	yes	—
69	C₁₃×#487	C₂²	1	1	yes	characteristic
70	C₁₃×#487	C₂²	1	1	yes	characteristic
71	C₁₃×#486	C₂²	1	1	yes	characteristic
72	C₁₃×#486	C₂²	1	1	yes	characteristic
73	C₁₃×#479	C₂²	1	2	yes	—
74	C₁₃×#479	C₂²	1	2	yes	—
75	C₁₃×#479	C₂²	1	2	yes	—
76	C₁₃×#478	C₂²	1	2	yes	—
77	C₁₃×#478	C₂²	1	2	yes	—
78	C₁₃×#478	C₂²	1	2	yes	—
79	C₁₃×#477	C₂²	1	2	yes	—
80	C₁₃×#477	C₂²	1	1	yes	characteristic
81	C₁₃×#476	C₂²	1	1	yes	characteristic
82	C₁₃×#476	C₂²	1	2	yes	—
83	C₁₃×#475	C₂²	1	2	yes	—
84	C₁₃×#475	C₂²	1	1	yes	characteristic
85	C₁₃×#474	C₂²	1	1	yes	characteristic
86	C₁₃×#474	C₂²	1	2	yes	—
87	C₁₃×#464	C₂²	1	2	yes	—
88	C₁₃×#464	C₂²	1	2	yes	—
89	C₁₃×#464	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	1	yes	characteristic
94	C₁₃×#462	C₂²	1	2	yes	—
95	C₁₃×#461	C₂²	1	1	yes	characteristic
96	C₁₃×#461	C₂²	1	2	yes	—
97	C₁₃×#460	C₂²	1	2	yes	—
98	C₁₃×#460	C₂²	1	1	yes	characteristic
99	C₁₃×#459	C₂²	1	2	yes	—
100	C₁₃×#459	C₂²	1	1	yes	characteristic
101	C₁₃×#446	C₂²	1	1	yes	characteristic
102	C₁₃×#446	C₂²	1	1	yes	characteristic
103	C₁₃×#446	C₂²	1	1	yes	characteristic
104	C₁₃×#446	C₂²	1	1	yes	characteristic
105	C₁₃×#446	C₂²	1	2	yes	—
106	C₁₃×#446	C₂²	1	2	yes	—
107	C₁₃×#442	C₂²	1	2	yes	—
108	C₁₃×#442	C₂²	1	2	yes	—
109	C₁₃×#441	C₂²	1	2	yes	—
110	C₁₃×#441	C₂²	1	2	yes	—
111	C₁₃×#440	C₂²	1	2	yes	—
112	C₁₃×#440	C₂²	1	2	yes	—
113	C₁₃×#440	C₂²	1	2	yes	—
114	C₁₃×#440	C₂²	1	2	yes	—
115	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
116	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
117	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
121	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
122	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
123	C₁₃×#427	C₂²	1	1	yes	characteristic
124	C₁₃×#427	C₂²	1	2	yes	—
125	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
126	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
127	C₁₃×#416	C₂²	1	2	yes	—
128	C₁₃×#416	C₂²	1	2	yes	—
129	C₁₃×#416	C₂²	1	2	yes	—
130	C₁₃×#416	C₂²	1	2	yes	—
131	C₁₃×#416	C₂²	1	1	yes	characteristic
132	C₁₃×#416	C₂²	1	1	yes	characteristic
133	C₂×C₁₃×#97	C₂²	1	2	yes	—
134	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	C₂³	1	2	yes	—
137	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
139	C₂²×Q₈×C₁₃	—	2	1	no	—
140	C₂²×Q₈×C₁₃	D₄	1	1	yes	characteristic
141	C₁₃×#135	—	2	4	no	—
142	C₁₃×#135	—	2	8	no	—
143	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
145	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×D₈	C₂³	1	2	yes	—
151	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
152	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
153	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
154	C₁₃×C₄⋊Q₈	—	2	1	no	—
155	C₁₃×C₄⋊Q₈	—	2	2	no	—
156	C₁₃×C₄⋊Q₈	—	2	1	no	—
157	C₁₃×C₄⋊Q₈	—	2	2	no	—
158	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
159	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₁₃×#127	C₂³	1	1	yes	characteristic
165	C₁₃×#127	C₂³	1	2	yes	—
166	C₁₃×#126	—	2	2	no	—
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#125	—	2	1	no	—
170	C₁₃×#125	—	2	2	no	—
171	C₁₃×#125	—	2	2	no	—
172	C₁₃×#125	—	2	2	no	—
173	C₁₃×#125	—	2	2	no	—
174	C₁₃×#125	C₂³	1	2	yes	—
175	C₁₃×#125	C₂³	1	2	yes	—
176	C₁₃×#125	C₂³	1	2	yes	—
177	C₁₃×#124	—	2	1	no	—
178	C₁₃×#124	—	2	2	no	—
179	C₁₃×#124	C₂³	1	2	yes	—
180	C₁₃×#124	C₂³	1	2	yes	—
181	C₁₃×#124	C₂³	1	2	yes	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×#123	—	2	2	no	—
184	C₁₃×#123	—	2	2	no	—
185	C₁₃×C₂²⋊Q₈	—	2	1	no	—
186	C₁₃×C₂²⋊Q₈	—	2	2	no	—
187	C₁₃×C₂²⋊Q₈	—	2	1	no	—
188	C₁₃×C₂²⋊Q₈	—	2	2	no	—
189	C₁₃×C₂²⋊Q₈	—	2	1	no	—
190	C₁₃×C₂²⋊Q₈	—	2	2	no	—
191	C₁₃×C₂²⋊Q₈	—	2	1	no	—
192	C₁₃×C₂²⋊Q₈	—	2	2	no	—
193	C₁₃×C₂²⋊Q₈	—	2	1	no	—
194	C₁₃×C₂²⋊Q₈	—	2	2	no	—
195	C₁₃×C₂²⋊Q₈	—	2	2	no	—
196	C₁₃×C₂²⋊Q₈	—	2	2	no	—
197	C₁₃×C₂²⋊Q₈	—	2	2	no	—
198	C₁₃×#121	—	2	1	no	—
199	C₁₃×#121	—	2	2	no	—
200	C₁₃×#121	—	2	1	no	—
201	C₁₃×#121	—	2	2	no	—
202	C₁₃×#121	—	2	1	no	—
203	C₁₃×#121	—	2	2	no	—
204	C₄×Q₈×C₁₃	—	2	1	no	—
205	C₄×Q₈×C₁₃	—	2	1	no	—
206	C₄×Q₈×C₁₃	—	2	1	no	—
207	C₄×Q₈×C₁₃	—	2	2	no	—
208	C₄×Q₈×C₁₃	—	2	1	no	—
209	C₄×Q₈×C₁₃	—	2	2	no	—
210	C₄×Q₈×C₁₃	—	2	2	no	—
211	C₄×Q₈×C₁₃	—	2	1	no	—
212	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
213	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
214	C₄×Q₈×C₁₃	D₄	1	2	yes	—
215	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
216	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
217	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
218	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
219	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
220	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
221	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
222	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
223	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
226	C₄×D₄×C₁₃	—	2	1	no	—
227	C₄×D₄×C₁₃	—	2	2	no	—
228	C₄×D₄×C₁₃	—	2	1	no	—
229	C₄×D₄×C₁₃	—	2	2	no	—
230	C₄×D₄×C₁₃	—	2	1	no	—
231	C₄×D₄×C₁₃	—	2	2	no	—
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	—	2	2	no	—
234	C₄×D₄×C₁₃	—	2	2	no	—
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	1	no	—
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	—	2	2	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₁₃	C₂³	1	2	yes	—
245	C₄×D₄×C₁₃	C₂³	1	2	yes	—
246	C₄×D₄×C₁₃	C₂³	1	2	yes	—
247	C₄×D₄×C₁₃	C₂³	1	2	yes	—
248	C₁₃×#117	—	2	2	no	—
249	C₁₃×#117	—	2	1	no	—
250	C₁₃×#117	—	2	2	no	—
251	C₁₃×#117	—	2	1	no	—
252	C₁₃×#117	—	2	2	no	—
253	C₁₃×#117	—	2	1	no	—
254	C₁₃×#117	C₂³	1	2	yes	—
255	C₁₃×#117	C₂³	1	1	yes	characteristic
256	C₁₃×#117	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
258	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
259	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
260	C₂×C₁₃×C₄⋊C₄	D₄	1	2	yes	—
261	C₂×C₄²×C₁₃	—	2	1	no	—
262	C₂×C₄²×C₁₃	—	2	2	no	—
263	C₂×C₄²×C₁₃	—	2	1	no	—
264	C₂×C₄²×C₁₃	—	2	2	no	—
265	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
266	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
267	C₁₃×#107	C₂³	1	1	yes	characteristic
268	C₁₃×#107	C₂³	1	1	yes	characteristic
269	C₁₃×#107	C₂³	1	2	yes	—
270	C₁₃×#107	C₂³	1	2	yes	—
271	C₁₃×#106	C₂³	1	1	yes	characteristic
272	C₁₃×#106	C₂³	1	1	yes	characteristic
273	C₁₃×#106	C₂³	1	2	yes	—
274	C₁₃×#106	C₂³	1	2	yes	—
275	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
277	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
279	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
282	C₁₃×#103	C₂³	1	1	yes	characteristic
283	C₁₃×#103	C₂³	1	1	yes	characteristic
284	C₁₃×#103	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	1	yes	characteristic
286	C₁₃×#103	C₂³	1	2	yes	—
287	C₁₃×#103	C₂³	1	2	yes	—
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	2	yes	—
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#102	C₂³	1	1	yes	characteristic
295	C₁₃×#102	C₂³	1	1	yes	characteristic
296	C₁₃×#102	C₂³	1	1	yes	characteristic
297	C₁₃×#102	C₂³	1	1	yes	characteristic
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	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×#97	C₂³	1	2	yes	—
307	C₁₃×#97	C₂³	1	2	yes	—
308	C₁₃×#97	C₂³	1	2	yes	—
309	C₁₃×#97	C₂³	1	2	yes	—
310	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
314	#61316	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
315	C₁₃×#41	—	2	2	no	—
316	C₁₃×#41	—	2	2	no	—
317	C₁₃×#41	—	2	4	no	—
318	C₁₃×#41	—	2	4	no	—
319	C₁₃×#41	—	2	2	no	—
320	C₁₃×#41	—	4	4	no	—
321	C₁₃×#41	#41	1	4	yes	complemented
322	C₂×Q₈×C₁₃	—	2	2	no	—
323	C₂×Q₈×C₁₃	—	2	1	no	—
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	—	2	1	no	—
326	C₂×Q₈×C₁₃	—	4	2	no	—
327	C₂×Q₈×C₁₃	—	4	4	no	—
328	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
329	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
330	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
331	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
333	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂×D₄×C₁₃	—	2	1	no	—
335	C₂×D₄×C₁₃	—	2	1	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	—	2	1	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	1	no	—
341	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
342	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
343	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₁₃	—	2	1	no	—
345	C₂²×C₄×C₁₃	—	2	2	no	—
346	C₂²×C₄×C₁₃	—	2	1	no	—
347	C₂²×C₄×C₁₃	—	2	2	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	1	no	—
352	C₂²×C₄×C₁₃	—	2	2	no	—
353	C₂²×C₄×C₁₃	—	2	1	no	—
354	C₂²×C₄×C₁₃	—	2	2	no	—
355	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
356	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
357	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
358	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
359	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₁₃×Q₁₆	—	2	2	no	—
361	C₁₃×Q₁₆	—	2	4	no	—
362	C₁₃×SD₁₆	—	2	2	no	—
363	C₁₃×SD₁₆	—	2	4	no	—
364	C₁₃×SD₁₆	—	2	2	no	—
365	C₁₃×SD₁₆	—	2	4	no	—
366	C₁₃×D₈	—	2	2	no	—
367	C₁₃×D₈	—	2	4	no	—
368	C₂×C₈×C₁₃	—	2	2	no	—
369	C₂×C₈×C₁₃	—	2	4	no	—
370	C₂×C₈×C₁₃	—	2	2	no	—
371	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
376	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
377	C₁₃×C₄⋊C₄	—	2	2	no	—
378	C₁₃×C₄⋊C₄	—	2	2	no	—
379	C₁₃×C₄⋊C₄	—	2	2	no	—
380	C₁₃×C₄⋊C₄	—	2	2	no	—
381	C₁₃×C₄⋊C₄	—	2	1	no	—
382	C₁₃×C₄⋊C₄	—	2	2	no	—
383	C₁₃×C₄⋊C₄	—	2	1	no	—
384	C₁₃×C₄⋊C₄	—	2	2	no	—
385	C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₁₃×C₄⋊C₄	—	2	2	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	1	no	—
391	C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	1	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	1	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
401	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
402	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
403	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
404	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
406	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
407	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
409	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
410	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
411	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
412	C₁₃×C₂²⋊C₄	—	2	1	no	—
413	C₁₃×C₂²⋊C₄	—	2	2	no	—
414	C₁₃×C₂²⋊C₄	—	2	1	no	—
415	C₁₃×C₂²⋊C₄	—	2	2	no	—
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	2	no	—
418	C₁₃×C₂²⋊C₄	—	2	2	no	—
419	C₁₃×C₂²⋊C₄	—	2	1	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	2	no	—
422	C₁₃×C₂²⋊C₄	—	2	1	no	—
423	C₁₃×C₂²⋊C₄	—	2	1	no	—
424	C₁₃×C₂²⋊C₄	—	2	2	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	C₄²×C₁₃	—	2	1	no	—
430	C₄²×C₁₃	—	2	2	no	—
431	C₄²×C₁₃	—	2	2	no	—
432	C₄²×C₁₃	—	2	1	no	—
433	C₄²×C₁₃	—	2	1	no	—
434	C₄²×C₁₃	—	2	2	no	—
435	C₄²×C₁₃	—	2	2	no	—
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	C₂×D₄	1	1	yes	characteristic
441	C₄²×C₁₃	C₂×D₄	1	2	yes	—
442	C₄²×C₁₃	C₂×D₄	1	2	yes	—
443	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
444	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
445	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
446	C₄²×C₁₃	C₂⁴	1	2	yes	—
447	C₄²×C₁₃	C₂⁴	1	2	yes	—
448	#3480	C₂×C₁₃	1	1	yes	characteristic, complemented
449	Q₈×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3377	C₂×C₁₃	1	2	yes	complemented
451	#3376	C₂×C₁₃	1	2	yes	complemented
452	#3375	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3374	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3373	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3372	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3371	C₂×C₁₃	1	2	yes	complemented
457	#3370	C₂×C₁₃	1	2	yes	complemented
458	#3369	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3368	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3366	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3135	C₂×C₁₃	1	2	yes	complemented
463	#3131	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3076	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3076	C₂×C₁₃	1	2	yes	complemented
466	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3035	C₂×C₁₃	1	2	yes	complemented
468	C₂×#446	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#2943	C₂×C₁₃	1	2	yes	complemented
470	C₄×#135	C₂×C₁₃	1	1	yes	characteristic, complemented
471	C₂³×C₁₃	—	2	1	no	—
472	C₂³×C₁₃	—	2	2	no	—
473	C₂³×C₁₃	—	2	1	no	—
474	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
475	Q₈×C₁₃	—	2	2	no	—
476	Q₈×C₁₃	—	2	2	no	—
477	Q₈×C₁₃	—	2	1	no	—
478	Q₈×C₁₃	—	2	1	no	—
479	Q₈×C₁₃	—	2	2	no	—
480	Q₈×C₁₃	—	2	1	no	—
481	Q₈×C₁₃	—	2	2	no	—
482	Q₈×C₁₃	—	4	2	no	—
483	Q₈×C₁₃	—	4	4	no	—
484	Q₈×C₁₃	—	4	2	no	—
485	Q₈×C₁₃	—	8	2	no	—
486	Q₈×C₁₃	—	8	1	no	—
487	Q₈×C₁₃	C₂×#41	1	2	yes	—
488	D₄×C₁₃	—	2	4	no	—
489	D₄×C₁₃	—	2	1	no	—
490	D₄×C₁₃	—	2	2	no	—
491	D₄×C₁₃	—	2	1	no	—
492	D₄×C₁₃	—	2	1	no	—
493	D₄×C₁₃	—	2	2	no	—
494	D₄×C₁₃	—	4	4	no	—
495	D₄×C₁₃	—	4	2	no	—
496	D₄×C₁₃	—	4	4	no	—
497	D₄×C₁₃	—	4	2	no	—
498	D₄×C₁₃	—	8	2	no	—
499	D₄×C₁₃	—	8	1	no	—
500	D₄×C₁₃	C₂×#41	1	2	yes	—
501	C₂×C₄×C₁₃	—	2	1	no	—
502	C₂×C₄×C₁₃	—	2	4	no	—
503	C₂×C₄×C₁₃	—	2	2	no	—
504	C₂×C₄×C₁₃	—	2	1	no	—
505	C₂×C₄×C₁₃	—	2	1	no	—
506	C₂×C₄×C₁₃	—	2	1	no	—
507	C₂×C₄×C₁₃	—	2	2	no	—
508	C₂×C₄×C₁₃	—	2	2	no	—
509	C₂×C₄×C₁₃	—	2	1	no	—
510	C₂×C₄×C₁₃	—	2	2	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
512	C₂×C₄×C₁₃	—	4	1	no	—
513	C₂×C₄×C₁₃	—	4	2	no	—
514	C₂×C₄×C₁₃	—	4	2	no	—
515	C₂×C₄×C₁₃	—	4	4	no	—
516	C₂×C₄×C₁₃	—	4	4	no	—
517	C₂×C₄×C₁₃	—	4	2	no	—
518	C₂×C₄×C₁₃	—	4	4	no	—
519	C₂×C₄×C₁₃	—	4	2	no	—
520	C₂×C₄×C₁₃	—	4	2	no	—
521	C₂×C₄×C₁₃	—	8	1	no	—
522	C₂×C₄×C₁₃	—	8	1	no	—
523	C₂×C₄×C₁₃	—	8	2	no	—
524	C₂×C₄×C₁₃	—	8	2	no	—
525	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
526	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
527	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
528	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
529	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
530	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
531	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
532	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
533	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
534	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
535	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
536	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
537	C₈×C₁₃	—	2	1	no	—
538	C₈×C₁₃	—	2	2	no	—
539	C₈×C₁₃	—	2	1	no	—
540	C₈×C₁₃	—	2	2	no	—
541	C₈×C₁₃	—	2	1	no	—
542	C₈×C₁₃	—	2	1	no	—
543	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
544	C₂×#135	C₂²×C₁₃	1	2	yes	—
545	#559	C₂²×C₁₃	1	2	yes	—
546	#559	C₂²×C₁₃	1	1	yes	characteristic
547	Q₈²	C₂²×C₁₃	1	1	yes	characteristic
548	#557	C₂²×C₁₃	1	1	yes	characteristic
549	#557	C₂²×C₁₃	1	1	yes	characteristic
550	#557	C₂²×C₁₃	1	2	yes	—
551	#556	C₂²×C₁₃	1	1	yes	characteristic
552	#556	C₂²×C₁₃	1	2	yes	—
553	#554	—	2	1	no	—
554	#554	—	2	2	no	—
555	#554	C₂²×C₁₃	1	1	yes	characteristic
556	#554	C₂²×C₁₃	1	2	yes	—
557	#553	—	2	1	no	—
558	#553	—	2	2	no	—
559	#550	C₂²×C₁₃	1	1	yes	characteristic
560	D₄×Q₈	—	2	1	no	—
561	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
562	#548	—	2	1	no	—
563	#533	—	2	1	no	—
564	#533	—	2	2	no	—
565	#533	C₂²×C₁₃	1	1	yes	characteristic
566	#533	C₂²×C₁₃	1	2	yes	—
567	#532	C₂²×C₁₃	1	1	yes	characteristic
568	#532	C₂²×C₁₃	1	2	yes	—
569	#529	—	2	1	no	—
570	#529	—	2	2	no	—
571	C₄×#41	—	2	1	no	—
572	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
573	C₄×#41	C₂²×C₁₃	1	2	yes	—
574	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
575	C₄×#41	C₂²×C₁₃	1	2	yes	—
576	C₂×C₄×Q₈	—	2	1	no	—
577	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
578	#491	C₂²×C₁₃	1	2	yes	—
579	#491	C₂²×C₁₃	1	2	yes	—
580	#490	C₂²×C₁₃	1	2	yes	—
581	#490	C₂²×C₁₃	1	2	yes	—
582	#489	C₂²×C₁₃	1	2	yes	—
583	#489	C₂²×C₁₃	1	2	yes	—
584	#489	C₂²×C₁₃	1	2	yes	—
585	#489	C₂²×C₁₃	1	2	yes	—
586	#488	C₂²×C₁₃	1	2	yes	—
587	#488	C₂²×C₁₃	1	2	yes	—
588	#487	C₂²×C₁₃	1	1	yes	characteristic
589	#487	C₂²×C₁₃	1	1	yes	characteristic
590	#486	C₂²×C₁₃	1	1	yes	characteristic
591	#486	C₂²×C₁₃	1	1	yes	characteristic
592	#479	C₂²×C₁₃	1	2	yes	—
593	#479	C₂²×C₁₃	1	2	yes	—
594	#479	C₂²×C₁₃	1	2	yes	—
595	#478	C₂²×C₁₃	1	2	yes	—
596	#478	C₂²×C₁₃	1	2	yes	—
597	#478	C₂²×C₁₃	1	2	yes	—
598	#477	C₂²×C₁₃	1	2	yes	—
599	#477	C₂²×C₁₃	1	1	yes	characteristic
600	#476	C₂²×C₁₃	1	1	yes	characteristic
601	#476	C₂²×C₁₃	1	2	yes	—
602	#475	C₂²×C₁₃	1	2	yes	—
603	#475	C₂²×C₁₃	1	1	yes	characteristic
604	#474	C₂²×C₁₃	1	1	yes	characteristic
605	#474	C₂²×C₁₃	1	2	yes	—
606	#464	C₂²×C₁₃	1	2	yes	—
607	#464	C₂²×C₁₃	1	2	yes	—
608	#464	C₂²×C₁₃	1	2	yes	—
609	#463	C₂²×C₁₃	1	2	yes	—
610	#463	C₂²×C₁₃	1	2	yes	—
611	#463	C₂²×C₁₃	1	2	yes	—
612	#462	C₂²×C₁₃	1	1	yes	characteristic
613	#462	C₂²×C₁₃	1	2	yes	—
614	#461	C₂²×C₁₃	1	1	yes	characteristic
615	#461	C₂²×C₁₃	1	2	yes	—
616	#460	C₂²×C₁₃	1	2	yes	—
617	#460	C₂²×C₁₃	1	1	yes	characteristic
618	#459	C₂²×C₁₃	1	2	yes	—
619	#459	C₂²×C₁₃	1	1	yes	characteristic
620	#446	C₂²×C₁₃	1	1	yes	characteristic
621	#446	C₂²×C₁₃	1	1	yes	characteristic
622	#446	C₂²×C₁₃	1	1	yes	characteristic
623	#446	C₂²×C₁₃	1	1	yes	characteristic
624	#446	C₂²×C₁₃	1	2	yes	—
625	#446	C₂²×C₁₃	1	2	yes	—
626	#442	C₂²×C₁₃	1	2	yes	—
627	#442	C₂²×C₁₃	1	2	yes	—
628	#441	C₂²×C₁₃	1	2	yes	—
629	#441	C₂²×C₁₃	1	2	yes	—
630	#440	C₂²×C₁₃	1	2	yes	—
631	#440	C₂²×C₁₃	1	2	yes	—
632	#440	C₂²×C₁₃	1	2	yes	—
633	#440	C₂²×C₁₃	1	2	yes	—
634	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
635	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
636	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
637	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
638	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
639	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
640	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
641	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
642	#427	C₂²×C₁₃	1	1	yes	characteristic
643	#427	C₂²×C₁₃	1	2	yes	—
644	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
645	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
646	#416	C₂²×C₁₃	1	2	yes	—
647	#416	C₂²×C₁₃	1	2	yes	—
648	#416	C₂²×C₁₃	1	2	yes	—
649	#416	C₂²×C₁₃	1	2	yes	—
650	#416	C₂²×C₁₃	1	1	yes	characteristic
651	#416	C₂²×C₁₃	1	1	yes	characteristic
652	C₂×#97	C₂²×C₁₃	1	2	yes	—
653	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
654	C₂²×C₁₃	—	2	1	no	—
655	C₂²×C₁₃	—	2	1	no	—
656	C₂²×C₁₃	—	2	2	no	—
657	C₂²×C₁₃	—	4	1	no	—
658	C₂²×C₁₃	—	4	1	no	—
659	C₂²×C₁₃	—	4	1	no	—
660	C₂²×C₁₃	—	4	2	no	—
661	C₂²×C₁₃	—	4	2	no	—
662	C₂²×C₁₃	—	4	1	no	—
663	C₂²×C₁₃	—	4	2	no	—
664	C₂²×C₁₃	—	4	1	no	—
665	C₂²×C₁₃	#548	1	2	yes	—
666	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
667	C₄×C₁₃	—	2	1	no	—
668	C₄×C₁₃	—	2	2	no	—
669	C₄×C₁₃	—	2	2	no	—
670	C₄×C₁₃	—	2	1	no	—
671	C₄×C₁₃	—	2	2	no	—
672	C₄×C₁₃	—	2	1	no	—
673	C₄×C₁₃	—	2	2	no	—
674	C₄×C₁₃	—	2	2	no	—
675	C₄×C₁₃	—	4	1	no	—
676	C₄×C₁₃	—	4	1	no	—
677	C₄×C₁₃	—	4	2	no	—
678	C₄×C₁₃	—	4	1	no	—
679	C₄×C₁₃	—	4	2	no	—
680	C₄×C₁₃	—	4	1	no	—
681	C₄×C₁₃	—	4	2	no	—
682	C₄×C₁₃	—	4	1	no	—
683	C₄×C₁₃	#548	1	2	yes	—
684	C₄×C₁₃	#575	1	2	yes	—
685	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
686	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
687	C₂×#41	—	2	1	no	—
688	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
689	C₂×#41	C₂³×C₁₃	1	2	yes	—
690	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
691	C₂²×Q₈	—	2	1	no	—
692	C₂²×Q₈	D₄×C₁₃	1	1	yes	characteristic
693	#135	—	2	4	no	—
694	#135	—	2	8	no	—
695	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
696	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
697	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
698	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
699	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
700	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
701	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
702	C₂×D₈	C₂³×C₁₃	1	2	yes	—
703	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
704	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
705	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
706	C₄⋊Q₈	—	2	1	no	—
707	C₄⋊Q₈	—	2	2	no	—
708	C₄⋊Q₈	—	2	1	no	—
709	C₄⋊Q₈	—	2	2	no	—
710	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
711	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
712	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
713	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
714	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
715	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
716	#127	C₂³×C₁₃	1	1	yes	characteristic
717	#127	C₂³×C₁₃	1	2	yes	—
718	#126	—	2	2	no	—
719	#126	—	2	2	no	—
720	#126	—	2	2	no	—
721	#125	—	2	1	no	—
722	#125	—	2	2	no	—
723	#125	—	2	2	no	—
724	#125	—	2	2	no	—
725	#125	—	2	2	no	—
726	#125	C₂³×C₁₃	1	2	yes	—
727	#125	C₂³×C₁₃	1	2	yes	—
728	#125	C₂³×C₁₃	1	2	yes	—
729	#124	—	2	1	no	—
730	#124	—	2	2	no	—
731	#124	C₂³×C₁₃	1	2	yes	—
732	#124	C₂³×C₁₃	1	2	yes	—
733	#124	C₂³×C₁₃	1	2	yes	—
734	#123	—	2	2	no	—
735	#123	—	2	2	no	—
736	#123	—	2	2	no	—
737	C₂²⋊Q₈	—	2	1	no	—
738	C₂²⋊Q₈	—	2	2	no	—
739	C₂²⋊Q₈	—	2	1	no	—
740	C₂²⋊Q₈	—	2	2	no	—
741	C₂²⋊Q₈	—	2	1	no	—
742	C₂²⋊Q₈	—	2	2	no	—
743	C₂²⋊Q₈	—	2	1	no	—
744	C₂²⋊Q₈	—	2	2	no	—
745	C₂²⋊Q₈	—	2	1	no	—
746	C₂²⋊Q₈	—	2	2	no	—
747	C₂²⋊Q₈	—	2	2	no	—
748	C₂²⋊Q₈	—	2	2	no	—
749	C₂²⋊Q₈	—	2	2	no	—
750	#121	—	2	1	no	—
751	#121	—	2	2	no	—
752	#121	—	2	1	no	—
753	#121	—	2	2	no	—
754	#121	—	2	1	no	—
755	#121	—	2	2	no	—
756	C₄×Q₈	—	2	1	no	—
757	C₄×Q₈	—	2	1	no	—
758	C₄×Q₈	—	2	1	no	—
759	C₄×Q₈	—	2	2	no	—
760	C₄×Q₈	—	2	1	no	—
761	C₄×Q₈	—	2	2	no	—
762	C₄×Q₈	—	2	2	no	—
763	C₄×Q₈	—	2	1	no	—
764	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
765	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
766	C₄×Q₈	D₄×C₁₃	1	2	yes	—
767	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
768	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
769	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
770	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
771	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
772	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
773	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
774	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
775	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
776	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
777	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
778	C₄×D₄	—	2	1	no	—
779	C₄×D₄	—	2	2	no	—
780	C₄×D₄	—	2	1	no	—
781	C₄×D₄	—	2	2	no	—
782	C₄×D₄	—	2	1	no	—
783	C₄×D₄	—	2	2	no	—
784	C₄×D₄	—	2	1	no	—
785	C₄×D₄	—	2	2	no	—
786	C₄×D₄	—	2	2	no	—
787	C₄×D₄	—	2	1	no	—
788	C₄×D₄	—	2	1	no	—
789	C₄×D₄	—	2	2	no	—
790	C₄×D₄	—	2	2	no	—
791	C₄×D₄	—	2	1	no	—
792	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
793	C₄×D₄	C₂³×C₁₃	1	2	yes	—
794	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
795	C₄×D₄	C₂³×C₁₃	1	2	yes	—
796	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
797	C₄×D₄	C₂³×C₁₃	1	2	yes	—
798	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
799	C₄×D₄	C₂³×C₁₃	1	2	yes	—
800	#117	—	2	2	no	—
801	#117	—	2	1	no	—
802	#117	—	2	2	no	—
803	#117	—	2	1	no	—
804	#117	—	2	2	no	—
805	#117	—	2	1	no	—
806	#117	C₂³×C₁₃	1	1	yes	characteristic
807	#117	C₂³×C₁₃	1	1	yes	characteristic
808	#117	C₂³×C₁₃	1	2	yes	—
809	C₂×C₄⋊C₄	—	2	1	no	—
810	C₂×C₄⋊C₄	—	2	2	no	—
811	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
812	C₂×C₄⋊C₄	D₄×C₁₃	1	2	yes	—
813	C₂×C₄²	—	2	1	no	—
814	C₂×C₄²	—	2	2	no	—
815	C₂×C₄²	—	2	1	no	—
816	C₂×C₄²	—	2	2	no	—
817	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
818	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
819	#107	C₂³×C₁₃	1	1	yes	characteristic
820	#107	C₂³×C₁₃	1	1	yes	characteristic
821	#107	C₂³×C₁₃	1	2	yes	—
822	#107	C₂³×C₁₃	1	2	yes	—
823	#106	C₂³×C₁₃	1	1	yes	characteristic
824	#106	C₂³×C₁₃	1	1	yes	characteristic
825	#106	C₂³×C₁₃	1	2	yes	—
826	#106	C₂³×C₁₃	1	2	yes	—
827	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
828	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
829	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
830	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
831	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
832	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
833	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
834	#103	C₂³×C₁₃	1	1	yes	characteristic
835	#103	C₂³×C₁₃	1	1	yes	characteristic
836	#103	C₂³×C₁₃	1	1	yes	characteristic
837	#103	C₂³×C₁₃	1	1	yes	characteristic
838	#103	C₂³×C₁₃	1	2	yes	—
839	#103	C₂³×C₁₃	1	2	yes	—
840	#103	C₂³×C₁₃	1	2	yes	—
841	#103	C₂³×C₁₃	1	2	yes	—
842	#103	C₂³×C₁₃	1	2	yes	—
843	#103	C₂³×C₁₃	1	2	yes	—
844	#103	C₂³×C₁₃	1	2	yes	—
845	#103	C₂³×C₁₃	1	2	yes	—
846	#102	C₂³×C₁₃	1	1	yes	characteristic
847	#102	C₂³×C₁₃	1	1	yes	characteristic
848	#102	C₂³×C₁₃	1	1	yes	characteristic
849	#102	C₂³×C₁₃	1	1	yes	characteristic
850	#102	C₂³×C₁₃	1	2	yes	—
851	#102	C₂³×C₁₃	1	2	yes	—
852	#102	C₂³×C₁₃	1	2	yes	—
853	#102	C₂³×C₁₃	1	2	yes	—
854	#102	C₂³×C₁₃	1	2	yes	—
855	#102	C₂³×C₁₃	1	2	yes	—
856	#102	C₂³×C₁₃	1	2	yes	—
857	#102	C₂³×C₁₃	1	2	yes	—
858	#97	C₂³×C₁₃	1	2	yes	—
859	#97	C₂³×C₁₃	1	2	yes	—
860	#97	C₂³×C₁₃	1	2	yes	—
861	#97	C₂³×C₁₃	1	2	yes	—
862	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
863	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
864	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
865	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
866	C₂×C₁₃	—	2	2	no	—
867	C₂×C₁₃	—	4	2	no	—
868	C₂×C₁₃	—	8	2	no	—
869	C₂×C₁₃	—	8	1	no	—
870	C₂×C₁₃	C₂×#548	1	1	yes	characteristic
871	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
872	C₂×C₁₃	#3584	1	1	yes	characteristic
873	#41	—	2	2	no	—
874	#41	—	2	2	no	—
875	#41	—	2	4	no	—
876	#41	—	2	2	no	—
877	#41	—	2	4	no	—
878	#41	—	4	4	no	—
879	#41	C₁₃×#41	1	4	yes	complemented
880	C₂×Q₈	—	2	2	no	—
881	C₂×Q₈	—	2	1	no	—
882	C₂×Q₈	—	2	2	no	—
883	C₂×Q₈	—	2	1	no	—
884	C₂×Q₈	—	4	2	no	—
885	C₂×Q₈	—	4	4	no	—
886	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
887	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
888	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
889	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
890	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
891	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
892	C₂×D₄	—	2	1	no	—
893	C₂×D₄	—	2	1	no	—
894	C₂×D₄	—	2	2	no	—
895	C₂×D₄	—	2	2	no	—
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	1	no	—
899	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
900	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
901	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	1	no	—
909	C₂²×C₄	—	2	1	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
914	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
915	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
916	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
917	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
918	Q₁₆	—	2	2	no	—
919	Q₁₆	—	2	4	no	—
920	SD₁₆	—	2	2	no	—
921	SD₁₆	—	2	4	no	—
922	SD₁₆	—	2	2	no	—
923	SD₁₆	—	2	4	no	—
924	D₈	—	2	2	no	—
925	D₈	—	2	4	no	—
926	C₂×C₈	—	2	2	no	—
927	C₂×C₈	—	2	4	no	—
928	C₂×C₈	—	2	2	no	—
929	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
930	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
931	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
932	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
933	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
934	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	1	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
958	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
959	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
960	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
961	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
962	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
963	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
964	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
965	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
966	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
967	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
968	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
969	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
970	C₂²⋊C₄	—	2	1	no	—
971	C₂²⋊C₄	—	2	1	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	1	no	—
981	C₂²⋊C₄	—	2	1	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₄²	—	2	1	no	—
988	C₄²	—	2	1	no	—
989	C₄²	—	2	2	no	—
990	C₄²	—	2	1	no	—
991	C₄²	—	2	2	no	—
992	C₄²	—	2	2	no	—
993	C₄²	—	2	1	no	—
994	C₄²	—	2	1	no	—
995	C₄²	—	2	2	no	—
996	C₄²	—	2	2	no	—
997	C₄²	—	2	1	no	—
998	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
999	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1000	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1001	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1002	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1003	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1004	C₄²	C₂⁴×C₁₃	1	2	yes	—
1005	C₄²	C₂⁴×C₁₃	1	2	yes	—
1006	C₁₃	#61316	1	1	yes	characteristic, direct product factor, Sylow
1007	C₂³	—	2	1	no	—
1008	C₂³	—	2	2	no	—
1009	C₂³	—	2	1	no	—
1010	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1011	Q₈	—	2	2	no	—
1012	Q₈	—	2	2	no	—
1013	Q₈	—	2	1	no	—
1014	Q₈	—	2	1	no	—
1015	Q₈	—	2	2	no	—
1016	Q₈	—	2	1	no	—
1017	Q₈	—	2	2	no	—
1018	Q₈	—	4	2	no	—
1019	Q₈	—	4	4	no	—
1020	Q₈	—	4	2	no	—
1021	Q₈	—	8	2	no	—
1022	Q₈	—	8	1	no	—
1023	Q₈	C₂×C₁₃×#41	1	2	yes	—
1024	D₄	—	2	4	no	—
1025	D₄	—	2	1	no	—
1026	D₄	—	2	2	no	—
1027	D₄	—	2	1	no	—
1028	D₄	—	2	1	no	—
1029	D₄	—	2	2	no	—
1030	D₄	—	4	4	no	—
1031	D₄	—	4	2	no	—
1032	D₄	—	4	4	no	—
1033	D₄	—	4	2	no	—
1034	D₄	—	8	2	no	—
1035	D₄	—	8	1	no	—
1036	D₄	C₂×C₁₃×#41	1	2	yes	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	4	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	4	1	no	—
1049	C₂×C₄	—	4	2	no	—
1050	C₂×C₄	—	4	2	no	—
1051	C₂×C₄	—	4	4	no	—
1052	C₂×C₄	—	4	4	no	—
1053	C₂×C₄	—	4	2	no	—
1054	C₂×C₄	—	4	4	no	—
1055	C₂×C₄	—	4	2	no	—
1056	C₂×C₄	—	4	2	no	—
1057	C₂×C₄	—	8	1	no	—
1058	C₂×C₄	—	8	1	no	—
1059	C₂×C₄	—	8	2	no	—
1060	C₂×C₄	—	8	2	no	—
1061	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1062	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1063	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1064	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1065	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1066	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1067	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1068	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1069	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1070	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1071	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1072	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1073	C₈	—	2	1	no	—
1074	C₈	—	2	2	no	—
1075	C₈	—	2	1	no	—
1076	C₈	—	2	2	no	—
1077	C₈	—	2	1	no	—
1078	C₈	—	2	1	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	2	no	—
1082	C₂²	—	4	1	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	—	4	2	no	—
1085	C₂²	—	4	1	no	—
1086	C₂²	—	4	1	no	—
1087	C₂²	—	4	2	no	—
1088	C₂²	—	4	2	no	—
1089	C₂²	—	4	1	no	—
1090	C₂²	C₁₃×#548	1	2	yes	—
1091	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1092	C₄	—	2	1	no	—
1093	C₄	—	2	2	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	2	1	no	—
1096	C₄	—	2	2	no	—
1097	C₄	—	2	2	no	—
1098	C₄	—	2	1	no	—
1099	C₄	—	2	2	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	2	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	1	no	—
1104	C₄	—	4	1	no	—
1105	C₄	—	4	2	no	—
1106	C₄	—	4	1	no	—
1107	C₄	—	4	2	no	—
1108	C₄	C₁₃×#548	1	2	yes	—
1109	C₄	C₁₃×#575	1	2	yes	—
1110	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1111	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1112	C₂	—	2	2	no	—
1113	C₂	—	4	2	no	—
1114	C₂	—	8	2	no	—
1115	C₂	—	8	1	no	—
1116	C₂	C₂×C₁₃×#548	1	1	yes	characteristic
1117	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1118	C₂	C₁₃×#3584	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
socle	C₂²×C₁₃	C₂³×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₃ ◁ C₂×C₄×Q₈×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3480	C₂	semidirect
2. Q₈×C₁₃×#41	C₂	semidirect
3. C₁₃×#3377	C₂	semidirect
4. C₁₃×#3376	C₂	semidirect
5. C₁₃×#3375	C₂	semidirect
6. C₁₃×#3374	C₂	semidirect
7. C₁₃×#3373	C₂	semidirect
8. C₁₃×#3372	C₂	semidirect
9. C₁₃×#3371	C₂	semidirect
10. C₁₃×#3370	C₂	semidirect
11. C₁₃×#3369	C₂	semidirect
12. C₁₃×#3368	C₂	semidirect
13. C₁₃×#3367	C₂	semidirect
14. C₁₃×#3366	C₂	semidirect
15. C₁₃×#3135	C₂	semidirect
16. C₁₃×#3131	C₂	semidirect
17. C₁₃×#3076	C₂	semidirect
18. C₁₃×#3076	C₂	semidirect
19. C₁₃×#3035	C₂	semidirect
20. C₁₃×#3035	C₂	semidirect
21. C₂×C₁₃×#446	C₂	semidirect
22. C₁₃×#2943	C₂	semidirect
23. C₄×C₁₃×#135	C₂	semidirect
314. #61316	C₁₃	direct (N × H)
321. C₁₃×#41	#41	semidirect
448. #3480	C₂×C₁₃	semidirect
449. Q₈×#41	C₂×C₁₃	semidirect
450. #3377	C₂×C₁₃	semidirect
451. #3376	C₂×C₁₃	semidirect
452. #3375	C₂×C₁₃	semidirect
453. #3374	C₂×C₁₃	semidirect
454. #3373	C₂×C₁₃	semidirect
455. #3372	C₂×C₁₃	semidirect
456. #3371	C₂×C₁₃	semidirect
457. #3370	C₂×C₁₃	semidirect
458. #3369	C₂×C₁₃	semidirect
459. #3368	C₂×C₁₃	semidirect
460. #3367	C₂×C₁₃	semidirect
461. #3366	C₂×C₁₃	semidirect
462. #3135	C₂×C₁₃	semidirect
463. #3131	C₂×C₁₃	semidirect
464. #3076	C₂×C₁₃	semidirect
465. #3076	C₂×C₁₃	semidirect
466. #3035	C₂×C₁₃	semidirect
467. #3035	C₂×C₁₃	semidirect
468. C₂×#446	C₂×C₁₃	semidirect
469. #2943	C₂×C₁₃	semidirect
470. C₄×#135	C₂×C₁₃	semidirect
879. #41	C₁₃×#41	semidirect
1006. C₁₃	#61316	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×#3480	2
Q₈×C₁₃×#41	2
C₁₃×#3377	2
C₁₃×#3376	2
C₁₃×#3375	2
C₁₃×#3374	2
C₁₃×#3373	2
C₁₃×#3372	2
C₁₃×#3371	2
C₁₃×#3370	2
C₁₃×#3369	2
C₁₃×#3368	2
C₁₃×#3367	2
C₁₃×#3366	2
C₁₃×#3135	2
C₁₃×#3131	2
C₁₃×#3076	2
C₁₃×#3035	2
C₂×C₁₃×#446	2
C₁₃×#2943	2
C₄×C₁₃×#135	2
#61316	13

Subgroups — C13×#61316 #15747655

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61316 #15747655