Subgroups — C₁₃×#61492 #15747831

Order 3328.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3518	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3515	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3398	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3385	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3363	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3360	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3357	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3349	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3303	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3302	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3300	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3276	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3269	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3178	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3170	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3127	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3124	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2947	C₂	1	2	yes	maximal, complemented
23	C₄×C₁₃×#135	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	2	yes	—
25	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
26	Q₈²×C₁₃	C₂²	1	1	yes	characteristic
27	C₁₃×#557	C₂²	1	1	yes	characteristic
28	C₁₃×#556	—	2	2	no	—
29	C₁₃×#556	—	2	1	no	—
30	C₁₃×#556	C₂²	1	1	yes	characteristic
31	C₁₃×#556	C₂²	1	2	yes	—
32	C₁₃×#555	—	2	1	no	—
33	C₁₃×#555	C₂²	1	1	yes	characteristic
34	C₁₃×#554	C₂²	1	1	yes	characteristic
35	C₁₃×#554	C₂²	1	1	yes	characteristic
36	C₁₃×#553	—	2	1	no	—
37	C₁₃×#552	—	2	2	no	—
38	C₁₃×#552	—	2	1	no	—
39	C₁₃×#552	C₂²	1	2	yes	—
40	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
41	C₁₃×#548	C₂²	1	2	yes	—
42	C₁₃×#547	C₂²	1	2	yes	—
43	C₁₃×#547	C₂²	1	1	yes	characteristic
44	C₁₃×#542	—	2	2	no	—
45	C₁₃×#542	C₂²	1	2	yes	—
46	C₁₃×#541	C₂²	1	2	yes	—
47	C₁₃×#539	—	2	2	no	—
48	C₁₃×#533	—	2	1	no	—
49	C₁₃×#533	C₂²	1	1	yes	characteristic
50	C₁₃×#533	C₂²	1	1	yes	characteristic
51	C₁₃×#529	—	2	1	no	—
52	C₁₃×#529	—	2	1	no	—
53	C₁₃×#529	C₂²	1	1	yes	characteristic
54	C₂×C₁₃×#125	—	2	1	no	—
55	C₁₃×#520	C₂²	1	2	yes	—
56	C₁₃×#519	C₂²	1	2	yes	—
57	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
58	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
59	C₁₃×#501	C₂²	1	2	yes	—
60	C₁₃×#500	C₂²	1	1	yes	characteristic
61	C₁₃×#497	C₂²	1	2	yes	—
62	C₁₃×#494	C₂²	1	1	yes	characteristic
63	C₁₃×#488	C₂²	1	2	yes	—
64	C₁₃×#487	C₂²	1	1	yes	characteristic
65	C₁₃×#487	C₂²	1	2	yes	—
66	C₁₃×#487	C₂²	1	1	yes	characteristic
67	C₁₃×#485	C₂²	1	2	yes	—
68	C₁₃×#485	C₂²	1	2	yes	—
69	C₁₃×#485	C₂²	1	2	yes	—
70	C₁₃×#485	C₂²	1	2	yes	—
71	C₁₃×#484	C₂²	1	2	yes	—
72	C₁₃×#480	C₂²	1	2	yes	—
73	C₁₃×#479	C₂²	1	2	yes	—
74	C₁₃×#479	C₂²	1	2	yes	—
75	C₁₃×#477	C₂²	1	1	yes	characteristic
76	C₁₃×#477	C₂²	1	2	yes	—
77	C₁₃×#477	C₂²	1	1	yes	characteristic
78	C₁₃×#476	C₂²	1	1	yes	characteristic
79	C₁₃×#476	C₂²	1	1	yes	characteristic
80	C₁₃×#474	C₂²	1	2	yes	—
81	C₁₃×#470	C₂²	1	2	yes	—
82	C₁₃×#468	C₂²	1	2	yes	—
83	C₁₃×#467	C₂²	1	2	yes	—
84	C₁₃×#467	C₂²	1	2	yes	—
85	C₁₃×#467	C₂²	1	2	yes	—
86	C₁₃×#465	C₂²	1	2	yes	—
87	C₁₃×#464	C₂²	1	2	yes	—
88	C₁₃×#463	C₂²	1	2	yes	—
89	C₁₃×#462	C₂²	1	2	yes	—
90	C₁₃×#462	C₂²	1	1	yes	characteristic
91	C₁₃×#462	C₂²	1	1	yes	characteristic
92	C₁₃×#462	C₂²	1	2	yes	—
93	C₁₃×#461	C₂²	1	1	yes	characteristic
94	C₁₃×#461	C₂²	1	1	yes	characteristic
95	C₁₃×#452	C₂²	1	2	yes	—
96	C₁₃×#452	C₂²	1	2	yes	—
97	C₁₃×#452	C₂²	1	2	yes	—
98	C₁₃×#451	C₂²	1	2	yes	—
99	C₁₃×#451	C₂²	1	2	yes	—
100	C₁₃×#449	C₂²	1	2	yes	—
101	C₁₃×#446	C₂²	1	1	yes	characteristic
102	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
103	C₁₃×#441	C₂²	1	2	yes	—
104	C₁₃×#441	C₂²	1	2	yes	—
105	C₁₃×#441	C₂²	1	2	yes	—
106	C₁₃×#440	C₂²	1	2	yes	—
107	C₁₃×#440	C₂²	1	2	yes	—
108	C₁₃×#440	C₂²	1	2	yes	—
109	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
110	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
111	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
112	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
113	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
114	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
115	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
116	C₄×C₁₃×SD₁₆	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×D₈	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
121	C₁₃×#436	C₂²	1	1	yes	characteristic
122	C₁₃×#435	C₂²	1	2	yes	—
123	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
124	C₈×D₄×C₁₃	C₂²	1	2	yes	—
125	C₁₃×#433	C₂²	1	2	yes	—
126	C₁₃×#432	C₂²	1	1	yes	characteristic
127	C₁₃×#428	C₂²	1	2	yes	—
128	C₁₃×#427	C₂²	1	1	yes	characteristic
129	C₁₃×#416	C₂²	1	1	yes	characteristic
130	C₁₃×#416	C₂²	1	1	yes	characteristic
131	C₁₃×#416	C₂²	1	2	yes	—
132	C₂×C₁₃×#103	C₂²	1	2	yes	—
133	C₁₃×#405	C₂²	1	2	yes	—
134	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	C₂³	1	2	yes	—
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
139	C₁₃×#137	—	2	8	no	—
140	C₁₃×#135	—	2	4	no	—
141	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
142	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
143	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
144	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
145	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
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×SD₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
152	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
153	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
154	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
155	C₁₃×C₄⋊Q₈	—	2	1	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	1	yes	characteristic
160	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
161	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×#126	—	2	2	no	—
165	C₁₃×#126	—	2	2	no	—
166	C₁₃×#126	—	2	2	no	—
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	D₄	1	2	yes	—
172	C₁₃×#125	—	2	2	no	—
173	C₁₃×#125	—	2	2	no	—
174	C₁₃×#125	—	2	1	no	—
175	C₁₃×#125	—	2	1	no	—
176	C₁₃×#125	—	2	2	no	—
177	C₁₃×#125	—	2	2	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	—	2	1	no	—
180	C₁₃×#125	D₄	1	1	yes	characteristic
181	C₁₃×#125	C₂³	1	2	yes	—
182	C₁₃×#124	—	2	2	no	—
183	C₁₃×#124	—	2	2	no	—
184	C₁₃×#124	—	2	2	no	—
185	C₁₃×#124	—	2	2	no	—
186	C₁₃×#124	D₄	1	1	yes	characteristic
187	C₁₃×#124	C₂³	1	2	yes	—
188	C₁₃×#123	—	2	2	no	—
189	C₁₃×#123	—	2	2	no	—
190	C₁₃×#123	—	2	2	no	—
191	C₁₃×#123	—	2	2	no	—
192	C₁₃×#123	—	2	2	no	—
193	C₁₃×#123	D₄	1	2	yes	—
194	C₁₃×C₂²⋊Q₈	—	2	1	no	—
195	C₁₃×C₂²⋊Q₈	—	2	1	no	—
196	C₁₃×C₂²⋊Q₈	—	2	1	no	—
197	C₁₃×C₂²⋊Q₈	—	2	1	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	—	2	2	no	—
200	C₁₃×C₂²⋊Q₈	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	2	no	—
202	C₁₃×C₂²⋊Q₈	—	2	2	no	—
203	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
204	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
205	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
206	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
207	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
208	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
209	C₁₃×#121	—	2	1	no	—
210	C₁₃×#121	—	2	1	no	—
211	C₁₃×#121	—	2	2	no	—
212	C₁₃×#121	—	2	2	no	—
213	C₁₃×#121	D₄	1	1	yes	characteristic
214	C₁₃×#121	C₂³	1	2	yes	—
215	C₄×Q₈×C₁₃	—	2	1	no	—
216	C₄×Q₈×C₁₃	—	2	1	no	—
217	C₄×Q₈×C₁₃	—	2	2	no	—
218	C₄×Q₈×C₁₃	—	2	2	no	—
219	C₄×Q₈×C₁₃	—	2	2	no	—
220	C₄×Q₈×C₁₃	—	2	1	no	—
221	C₄×Q₈×C₁₃	—	2	1	no	—
222	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
227	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
228	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
229	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
230	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
231	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	—	2	1	no	—
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	1	no	—
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	—	2	2	no	—
239	C₄×D₄×C₁₃	—	2	2	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
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	1	yes	characteristic
245	C₄×D₄×C₁₃	C₂³	1	2	yes	—
246	C₄×D₄×C₁₃	C₂³	1	2	yes	—
247	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
248	C₁₃×#117	—	2	1	no	—
249	C₁₃×#117	—	2	1	no	—
250	C₁₃×#117	—	2	2	no	—
251	C₁₃×#117	—	2	1	no	—
252	C₁₃×#117	—	2	1	no	—
253	C₁₃×#117	—	2	2	no	—
254	C₁₃×#117	—	2	2	no	—
255	C₁₃×#117	—	2	2	no	—
256	C₁₃×#117	—	2	1	no	—
257	C₁₃×#117	—	2	1	no	—
258	C₁₃×#117	C₂³	1	1	yes	characteristic
259	C₁₃×#117	C₂³	1	1	yes	characteristic
260	C₁₃×#117	C₂³	1	2	yes	—
261	C₁₃×#117	C₂³	1	2	yes	—
262	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
263	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
264	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
265	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
267	C₂×C₄²×C₁₃	—	2	1	no	—
268	C₂×C₄²×C₁₃	—	2	1	no	—
269	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	1	yes	characteristic
271	C₁₃×#107	C₂³	1	1	yes	characteristic
272	C₁₃×#107	C₂³	1	2	yes	—
273	C₁₃×#107	C₂³	1	2	yes	—
274	C₁₃×#107	C₂³	1	2	yes	—
275	C₁₃×#107	C₂³	1	2	yes	—
276	C₁₃×#106	C₂³	1	1	yes	characteristic
277	C₁₃×#106	C₂³	1	1	yes	characteristic
278	C₁₃×#106	C₂³	1	2	yes	—
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₃×#103	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	2	yes	—
286	C₁₃×#103	C₂³	1	2	yes	—
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#103	C₂³	1	1	yes	characteristic
289	C₁₃×#103	C₂³	1	1	yes	characteristic
290	C₁₃×#103	C₂³	1	1	yes	characteristic
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#103	C₂³	1	2	yes	—
295	C₁₃×#103	C₂³	1	2	yes	—
296	C₁₃×#103	C₂³	1	2	yes	—
297	C₁₃×#103	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	1	yes	characteristic
299	C₁₃×#102	C₂³	1	1	yes	characteristic
300	C₁₃×#102	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₃×#97	C₂³	1	2	yes	—
308	C₁₃×#97	C₂³	1	2	yes	—
309	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
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	2	yes	—
314	#61492	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	—	4	2	no	—
319	C₁₃×#41	—	4	1	no	—
320	C₁₃×#41	—	4	1	no	—
321	C₂×Q₈×C₁₃	—	2	2	no	—
322	C₂×Q₈×C₁₃	—	2	1	no	—
323	C₂×Q₈×C₁₃	—	2	1	no	—
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	—	2	4	no	—
326	C₂×Q₈×C₁₃	—	4	2	no	—
327	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
328	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
329	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
330	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
331	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₁₃	—	2	1	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	1	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
337	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
338	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
339	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
340	C₂²×C₄×C₁₃	—	2	2	no	—
341	C₂²×C₄×C₁₃	—	2	2	no	—
342	C₂²×C₄×C₁₃	—	2	1	no	—
343	C₂²×C₄×C₁₃	—	2	1	no	—
344	C₂²×C₄×C₁₃	—	2	1	no	—
345	C₂²×C₄×C₁₃	—	2	1	no	—
346	C₂²×C₄×C₁₃	—	2	2	no	—
347	C₂²×C₄×C₁₃	—	2	1	no	—
348	C₂²×C₄×C₁₃	—	2	1	no	—
349	C₂²×C₄×C₁₃	—	2	2	no	—
350	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
351	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
352	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
354	C₁₃×Q₁₆	—	2	2	no	—
355	C₁₃×Q₁₆	—	2	4	no	—
356	C₁₃×Q₁₆	—	2	4	no	—
357	C₁₃×Q₁₆	—	4	2	no	—
358	C₁₃×Q₁₆	—	4	2	no	—
359	C₁₃×SD₁₆	—	2	4	no	—
360	C₁₃×SD₁₆	—	2	2	no	—
361	C₁₃×SD₁₆	—	4	2	no	—
362	C₁₃×SD₁₆	#41	1	4	yes	—
363	C₁₃×D₈	—	2	2	no	—
364	C₁₃×M₁₆	—	2	4	no	—
365	C₂×C₈×C₁₃	—	2	2	no	—
366	C₂×C₈×C₁₃	—	4	2	no	—
367	C₂×C₈×C₁₃	—	4	1	no	—
368	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
372	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
373	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₁₃×C₄⋊C₄	—	2	2	no	—
375	C₁₃×C₄⋊C₄	—	2	1	no	—
376	C₁₃×C₄⋊C₄	—	2	1	no	—
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	2	no	—
382	C₁₃×C₄⋊C₄	—	2	2	no	—
383	C₁₃×C₄⋊C₄	—	2	2	no	—
384	C₁₃×C₄⋊C₄	—	2	1	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	1	no	—
389	C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	2	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	1	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
401	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
402	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
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	1	yes	characteristic
409	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
410	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
411	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
412	C₁₃×C₂²⋊C₄	—	2	2	no	—
413	C₁₃×C₂²⋊C₄	—	2	2	no	—
414	C₁₃×C₂²⋊C₄	—	2	2	no	—
415	C₁₃×C₂²⋊C₄	—	2	2	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	1	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	1	no	—
424	C₁₃×C₂²⋊C₄	—	2	1	no	—
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
429	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
430	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
431	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
432	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
433	C₄²×C₁₃	—	2	1	no	—
434	C₄²×C₁₃	—	2	1	no	—
435	C₄²×C₁₃	—	2	1	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	—	2	2	no	—
441	C₄²×C₁₃	—	2	2	no	—
442	C₄²×C₁₃	—	2	2	no	—
443	C₄²×C₁₃	—	2	2	no	—
444	C₄²×C₁₃	—	2	2	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	C₄²×C₁₃	C₂⁴	1	2	yes	—
450	#3518	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3515	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#3398	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3385	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3363	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3360	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3357	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3349	C₂×C₁₃	1	2	yes	complemented
458	#3303	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3302	C₂×C₁₃	1	2	yes	complemented
460	#3300	C₂×C₁₃	1	2	yes	complemented
461	#3299	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3276	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3269	C₂×C₁₃	1	2	yes	complemented
464	#3178	C₂×C₁₃	1	2	yes	complemented
465	#3170	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3127	C₂×C₁₃	1	2	yes	complemented
467	#3124	C₂×C₁₃	1	2	yes	complemented
468	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#2966	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#2947	C₂×C₁₃	1	2	yes	complemented
472	C₄×#135	C₂×C₁₃	1	1	yes	characteristic, complemented
473	C₂³×C₁₃	—	2	1	no	—
474	C₂³×C₁₃	—	2	1	no	—
475	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
476	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
477	Q₈×C₁₃	—	2	2	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	—	2	2	no	—
483	Q₈×C₁₃	—	2	2	no	—
484	Q₈×C₁₃	—	2	1	no	—
485	Q₈×C₁₃	—	4	4	no	—
486	Q₈×C₁₃	—	8	1	no	—
487	Q₈×C₁₃	—	8	1	no	—
488	Q₈×C₁₃	—	8	2	no	—
489	Q₈×C₁₃	C₂×#41	1	2	yes	—
490	D₄×C₁₃	—	2	2	no	—
491	D₄×C₁₃	—	2	1	no	—
492	D₄×C₁₃	—	2	1	no	—
493	D₄×C₁₃	—	2	1	no	—
494	D₄×C₁₃	—	4	2	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	C₂×#41	1	2	yes	—
500	C₂×C₄×C₁₃	—	2	1	no	—
501	C₂×C₄×C₁₃	—	2	2	no	—
502	C₂×C₄×C₁₃	—	2	1	no	—
503	C₂×C₄×C₁₃	—	2	2	no	—
504	C₂×C₄×C₁₃	—	2	2	no	—
505	C₂×C₄×C₁₃	—	2	1	no	—
506	C₂×C₄×C₁₃	—	2	1	no	—
507	C₂×C₄×C₁₃	—	2	1	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	—	2	1	no	—
513	C₂×C₄×C₁₃	—	2	2	no	—
514	C₂×C₄×C₁₃	—	2	2	no	—
515	C₂×C₄×C₁₃	—	4	1	no	—
516	C₂×C₄×C₁₃	—	4	2	no	—
517	C₂×C₄×C₁₃	—	4	4	no	—
518	C₂×C₄×C₁₃	—	4	2	no	—
519	C₂×C₄×C₁₃	—	4	4	no	—
520	C₂×C₄×C₁₃	—	4	2	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	C₂²×D₄	1	1	yes	characteristic
527	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
528	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
529	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
530	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
531	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
532	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
533	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
534	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
535	C₈×C₁₃	—	2	1	no	—
536	C₈×C₁₃	—	2	2	no	—
537	C₈×C₁₃	—	2	1	no	—
538	C₈×C₁₃	—	2	2	no	—
539	C₈×C₁₃	—	2	1	no	—
540	C₈×C₁₃	C₂×#41	1	2	yes	—
541	C₂×#137	C₂²×C₁₃	1	2	yes	—
542	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
543	Q₈²	C₂²×C₁₃	1	1	yes	characteristic
544	#557	C₂²×C₁₃	1	1	yes	characteristic
545	#556	—	2	2	no	—
546	#556	—	2	1	no	—
547	#556	C₂²×C₁₃	1	1	yes	characteristic
548	#556	C₂²×C₁₃	1	2	yes	—
549	#555	—	2	1	no	—
550	#555	C₂²×C₁₃	1	1	yes	characteristic
551	#554	C₂²×C₁₃	1	1	yes	characteristic
552	#554	C₂²×C₁₃	1	1	yes	characteristic
553	#553	—	2	1	no	—
554	#552	—	2	2	no	—
555	#552	—	2	1	no	—
556	#552	C₂²×C₁₃	1	2	yes	—
557	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
558	#548	C₂²×C₁₃	1	2	yes	—
559	#547	C₂²×C₁₃	1	2	yes	—
560	#547	C₂²×C₁₃	1	1	yes	characteristic
561	#542	—	2	2	no	—
562	#542	C₂²×C₁₃	1	2	yes	—
563	#541	C₂²×C₁₃	1	2	yes	—
564	#539	—	2	2	no	—
565	#533	—	2	1	no	—
566	#533	C₂²×C₁₃	1	1	yes	characteristic
567	#533	C₂²×C₁₃	1	1	yes	characteristic
568	#529	—	2	1	no	—
569	#529	—	2	1	no	—
570	#529	C₂²×C₁₃	1	1	yes	characteristic
571	C₂×#125	—	2	1	no	—
572	#520	C₂²×C₁₃	1	2	yes	—
573	#519	C₂²×C₁₃	1	2	yes	—
574	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
575	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
576	#501	C₂²×C₁₃	1	2	yes	—
577	#500	C₂²×C₁₃	1	1	yes	characteristic
578	#497	C₂²×C₁₃	1	2	yes	—
579	#494	C₂²×C₁₃	1	1	yes	characteristic
580	#488	C₂²×C₁₃	1	2	yes	—
581	#487	C₂²×C₁₃	1	1	yes	characteristic
582	#487	C₂²×C₁₃	1	1	yes	characteristic
583	#487	C₂²×C₁₃	1	2	yes	—
584	#485	C₂²×C₁₃	1	2	yes	—
585	#485	C₂²×C₁₃	1	2	yes	—
586	#485	C₂²×C₁₃	1	2	yes	—
587	#485	C₂²×C₁₃	1	2	yes	—
588	#484	C₂²×C₁₃	1	2	yes	—
589	#480	C₂²×C₁₃	1	2	yes	—
590	#479	C₂²×C₁₃	1	2	yes	—
591	#479	C₂²×C₁₃	1	2	yes	—
592	#477	C₂²×C₁₃	1	2	yes	—
593	#477	C₂²×C₁₃	1	1	yes	characteristic
594	#477	C₂²×C₁₃	1	1	yes	characteristic
595	#476	C₂²×C₁₃	1	1	yes	characteristic
596	#476	C₂²×C₁₃	1	1	yes	characteristic
597	#474	C₂²×C₁₃	1	2	yes	—
598	#470	C₂²×C₁₃	1	2	yes	—
599	#468	C₂²×C₁₃	1	2	yes	—
600	#467	C₂²×C₁₃	1	2	yes	—
601	#467	C₂²×C₁₃	1	2	yes	—
602	#467	C₂²×C₁₃	1	2	yes	—
603	#465	C₂²×C₁₃	1	2	yes	—
604	#464	C₂²×C₁₃	1	2	yes	—
605	#463	C₂²×C₁₃	1	2	yes	—
606	#462	C₂²×C₁₃	1	1	yes	characteristic
607	#462	C₂²×C₁₃	1	2	yes	—
608	#462	C₂²×C₁₃	1	1	yes	characteristic
609	#462	C₂²×C₁₃	1	2	yes	—
610	#461	C₂²×C₁₃	1	1	yes	characteristic
611	#461	C₂²×C₁₃	1	1	yes	characteristic
612	#452	C₂²×C₁₃	1	2	yes	—
613	#452	C₂²×C₁₃	1	2	yes	—
614	#452	C₂²×C₁₃	1	2	yes	—
615	#451	C₂²×C₁₃	1	2	yes	—
616	#451	C₂²×C₁₃	1	2	yes	—
617	#449	C₂²×C₁₃	1	2	yes	—
618	#446	C₂²×C₁₃	1	1	yes	characteristic
619	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
620	#441	C₂²×C₁₃	1	2	yes	—
621	#441	C₂²×C₁₃	1	2	yes	—
622	#441	C₂²×C₁₃	1	2	yes	—
623	#440	C₂²×C₁₃	1	2	yes	—
624	#440	C₂²×C₁₃	1	2	yes	—
625	#440	C₂²×C₁₃	1	2	yes	—
626	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
627	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
628	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
629	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
630	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
631	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
632	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
633	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
634	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
635	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
636	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
637	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
638	#436	C₂²×C₁₃	1	1	yes	characteristic
639	#435	C₂²×C₁₃	1	2	yes	—
640	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
641	C₈×D₄	C₂²×C₁₃	1	2	yes	—
642	#433	C₂²×C₁₃	1	2	yes	—
643	#432	C₂²×C₁₃	1	1	yes	characteristic
644	#428	C₂²×C₁₃	1	2	yes	—
645	#427	C₂²×C₁₃	1	1	yes	characteristic
646	#416	C₂²×C₁₃	1	1	yes	characteristic
647	#416	C₂²×C₁₃	1	1	yes	characteristic
648	#416	C₂²×C₁₃	1	2	yes	—
649	C₂×#103	C₂²×C₁₃	1	2	yes	—
650	#405	C₂²×C₁₃	1	2	yes	—
651	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
652	C₂²×C₁₃	—	2	1	no	—
653	C₂²×C₁₃	—	2	2	no	—
654	C₂²×C₁₃	—	2	2	no	—
655	C₂²×C₁₃	—	2	1	no	—
656	C₂²×C₁₃	—	2	2	no	—
657	C₂²×C₁₃	—	2	1	no	—
658	C₂²×C₁₃	—	2	2	no	—
659	C₂²×C₁₃	—	4	1	no	—
660	C₂²×C₁₃	—	4	1	no	—
661	C₂²×C₁₃	—	4	1	no	—
662	C₂²×C₁₃	—	4	1	no	—
663	C₂²×C₁₃	—	4	1	no	—
664	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
665	C₄×C₁₃	—	2	1	no	—
666	C₄×C₁₃	—	2	1	no	—
667	C₄×C₁₃	—	2	2	no	—
668	C₄×C₁₃	—	2	1	no	—
669	C₄×C₁₃	—	2	2	no	—
670	C₄×C₁₃	—	2	2	no	—
671	C₄×C₁₃	—	2	1	no	—
672	C₄×C₁₃	—	2	2	no	—
673	C₄×C₁₃	—	4	1	no	—
674	C₄×C₁₃	—	4	2	no	—
675	C₄×C₁₃	—	4	1	no	—
676	C₄×C₁₃	—	4	2	no	—
677	C₄×C₁₃	—	4	1	no	—
678	C₄×C₁₃	—	4	2	no	—
679	C₄×C₁₃	—	4	2	no	—
680	C₄×C₁₃	—	4	1	no	—
681	C₄×C₁₃	—	4	1	no	—
682	C₄×C₁₃	#578	1	2	yes	—
683	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
684	C₄×C₁₃	#585	1	1	yes	characteristic
685	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
686	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
687	C₂×#41	C₂³×C₁₃	1	2	yes	—
688	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
689	#137	—	2	8	no	—
690	#135	—	2	4	no	—
691	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
692	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
693	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
694	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
695	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
696	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
697	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
698	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
699	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
700	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
701	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
702	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
703	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
704	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
705	C₄⋊Q₈	—	2	1	no	—
706	C₄⋊Q₈	—	2	1	no	—
707	C₄⋊Q₈	—	2	2	no	—
708	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
709	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
710	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
711	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
712	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
713	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
714	#126	—	2	2	no	—
715	#126	—	2	2	no	—
716	#126	—	2	2	no	—
717	#126	—	2	2	no	—
718	#126	—	2	2	no	—
719	#126	—	2	2	no	—
720	#126	—	2	2	no	—
721	#126	D₄×C₁₃	1	2	yes	—
722	#125	—	2	2	no	—
723	#125	—	2	2	no	—
724	#125	—	2	1	no	—
725	#125	—	2	1	no	—
726	#125	—	2	2	no	—
727	#125	—	2	2	no	—
728	#125	—	2	1	no	—
729	#125	—	2	1	no	—
730	#125	D₄×C₁₃	1	1	yes	characteristic
731	#125	C₂³×C₁₃	1	2	yes	—
732	#124	—	2	2	no	—
733	#124	—	2	2	no	—
734	#124	—	2	2	no	—
735	#124	—	2	2	no	—
736	#124	D₄×C₁₃	1	1	yes	characteristic
737	#124	C₂³×C₁₃	1	2	yes	—
738	#123	—	2	2	no	—
739	#123	—	2	2	no	—
740	#123	—	2	2	no	—
741	#123	—	2	2	no	—
742	#123	—	2	2	no	—
743	#123	D₄×C₁₃	1	2	yes	—
744	C₂²⋊Q₈	—	2	1	no	—
745	C₂²⋊Q₈	—	2	1	no	—
746	C₂²⋊Q₈	—	2	1	no	—
747	C₂²⋊Q₈	—	2	1	no	—
748	C₂²⋊Q₈	—	2	2	no	—
749	C₂²⋊Q₈	—	2	2	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
754	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
755	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
756	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
757	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
758	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
759	#121	—	2	1	no	—
760	#121	—	2	1	no	—
761	#121	—	2	2	no	—
762	#121	—	2	2	no	—
763	#121	D₄×C₁₃	1	1	yes	characteristic
764	#121	C₂³×C₁₃	1	2	yes	—
765	C₄×Q₈	—	2	1	no	—
766	C₄×Q₈	—	2	1	no	—
767	C₄×Q₈	—	2	2	no	—
768	C₄×Q₈	—	2	2	no	—
769	C₄×Q₈	—	2	2	no	—
770	C₄×Q₈	—	2	1	no	—
771	C₄×Q₈	—	2	1	no	—
772	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
773	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
774	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
775	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
776	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
777	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
778	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
779	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
780	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
781	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
782	C₄×D₄	—	2	1	no	—
783	C₄×D₄	—	2	1	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	2	no	—
791	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
792	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
793	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
794	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
795	C₄×D₄	C₂³×C₁₃	1	2	yes	—
796	C₄×D₄	C₂³×C₁₃	1	2	yes	—
797	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
798	#117	—	2	1	no	—
799	#117	—	2	1	no	—
800	#117	—	2	2	no	—
801	#117	—	2	1	no	—
802	#117	—	2	1	no	—
803	#117	—	2	2	no	—
804	#117	—	2	2	no	—
805	#117	—	2	2	no	—
806	#117	—	2	1	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	2	yes	—
811	#117	C₂³×C₁₃	1	2	yes	—
812	C₂×C₄⋊C₄	—	2	2	no	—
813	C₂×C₄⋊C₄	—	2	1	no	—
814	C₂×C₄⋊C₄	—	2	2	no	—
815	C₂×C₄⋊C₄	—	2	1	no	—
816	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
817	C₂×C₄²	—	2	1	no	—
818	C₂×C₄²	—	2	1	no	—
819	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
820	#107	C₂³×C₁₃	1	1	yes	characteristic
821	#107	C₂³×C₁₃	1	1	yes	characteristic
822	#107	C₂³×C₁₃	1	2	yes	—
823	#107	C₂³×C₁₃	1	2	yes	—
824	#107	C₂³×C₁₃	1	2	yes	—
825	#107	C₂³×C₁₃	1	2	yes	—
826	#106	C₂³×C₁₃	1	1	yes	characteristic
827	#106	C₂³×C₁₃	1	1	yes	characteristic
828	#106	C₂³×C₁₃	1	2	yes	—
829	#106	C₂³×C₁₃	1	2	yes	—
830	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
831	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
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	2	yes	—
836	#103	C₂³×C₁₃	1	2	yes	—
837	#103	C₂³×C₁₃	1	2	yes	—
838	#103	C₂³×C₁₃	1	1	yes	characteristic
839	#103	C₂³×C₁₃	1	1	yes	characteristic
840	#103	C₂³×C₁₃	1	1	yes	characteristic
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	#103	C₂³×C₁₃	1	2	yes	—
847	#103	C₂³×C₁₃	1	2	yes	—
848	#102	C₂³×C₁₃	1	1	yes	characteristic
849	#102	C₂³×C₁₃	1	1	yes	characteristic
850	#102	C₂³×C₁₃	1	1	yes	characteristic
851	#102	C₂³×C₁₃	1	1	yes	characteristic
852	#102	C₂³×C₁₃	1	2	yes	—
853	#102	C₂³×C₁₃	1	2	yes	—
854	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
855	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
856	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
857	#97	C₂³×C₁₃	1	2	yes	—
858	#97	C₂³×C₁₃	1	2	yes	—
859	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
860	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
861	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
862	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
863	C₄×C₈	C₂³×C₁₃	1	2	yes	—
864	C₂×C₁₃	—	4	1	no	—
865	C₂×C₁₃	—	4	2	no	—
866	C₂×C₁₃	—	4	2	no	—
867	C₂×C₁₃	—	8	1	no	—
868	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
869	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
870	C₂×C₁₃	#3584	1	1	yes	characteristic
871	#41	—	2	2	no	—
872	#41	—	2	2	no	—
873	#41	—	2	4	no	—
874	#41	—	4	2	no	—
875	#41	—	4	1	no	—
876	#41	—	4	1	no	—
877	C₂×Q₈	—	2	2	no	—
878	C₂×Q₈	—	2	1	no	—
879	C₂×Q₈	—	2	1	no	—
880	C₂×Q₈	—	2	2	no	—
881	C₂×Q₈	—	2	4	no	—
882	C₂×Q₈	—	4	2	no	—
883	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
884	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
885	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
886	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
887	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
888	C₂×D₄	—	2	1	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	1	no	—
891	C₂×D₄	—	2	2	no	—
892	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
893	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
894	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
895	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
896	C₂²×C₄	—	2	2	no	—
897	C₂²×C₄	—	2	2	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	1	no	—
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
907	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
908	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
909	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
910	Q₁₆	—	2	2	no	—
911	Q₁₆	—	2	4	no	—
912	Q₁₆	—	2	4	no	—
913	Q₁₆	—	4	2	no	—
914	Q₁₆	—	4	2	no	—
915	SD₁₆	—	2	4	no	—
916	SD₁₆	—	2	2	no	—
917	SD₁₆	—	4	2	no	—
918	SD₁₆	C₁₃×#41	1	4	yes	—
919	D₈	—	2	2	no	—
920	M₁₆	—	2	4	no	—
921	C₂×C₈	—	2	2	no	—
922	C₂×C₈	—	4	2	no	—
923	C₂×C₈	—	4	1	no	—
924	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
925	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
926	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
927	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
928	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
929	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
930	C₄⋊C₄	—	2	2	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	1	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	—	2	2	no	—
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	2	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	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	C₂×D₄×C₁₃	1	1	yes	characteristic
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	2	yes	—
961	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
962	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
963	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
964	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
965	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
966	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
967	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	1	no	—
973	C₂²⋊C₄	—	2	1	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	—	2	1	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
985	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
986	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
987	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
988	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
989	C₄²	—	2	1	no	—
990	C₄²	—	2	1	no	—
991	C₄²	—	2	1	no	—
992	C₄²	—	2	1	no	—
993	C₄²	—	2	1	no	—
994	C₄²	—	2	1	no	—
995	C₄²	—	2	2	no	—
996	C₄²	—	2	2	no	—
997	C₄²	—	2	2	no	—
998	C₄²	—	2	2	no	—
999	C₄²	—	2	2	no	—
1000	C₄²	—	2	2	no	—
1001	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1002	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1003	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1004	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1005	C₄²	C₂⁴×C₁₃	1	2	yes	—
1006	C₁₃	#61492	1	1	yes	characteristic, direct product factor, Sylow
1007	C₂³	—	2	1	no	—
1008	C₂³	—	2	1	no	—
1009	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1010	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1011	Q₈	—	2	2	no	—
1012	Q₈	—	2	1	no	—
1013	Q₈	—	2	2	no	—
1014	Q₈	—	2	1	no	—
1015	Q₈	—	2	2	no	—
1016	Q₈	—	2	2	no	—
1017	Q₈	—	2	2	no	—
1018	Q₈	—	2	1	no	—
1019	Q₈	—	4	4	no	—
1020	Q₈	—	8	1	no	—
1021	Q₈	—	8	1	no	—
1022	Q₈	—	8	2	no	—
1023	Q₈	C₂×C₁₃×#41	1	2	yes	—
1024	D₄	—	2	2	no	—
1025	D₄	—	2	1	no	—
1026	D₄	—	2	1	no	—
1027	D₄	—	2	1	no	—
1028	D₄	—	4	2	no	—
1029	D₄	—	4	2	no	—
1030	D₄	—	4	4	no	—
1031	D₄	—	4	2	no	—
1032	D₄	—	8	2	no	—
1033	D₄	C₂×C₁₃×#41	1	2	yes	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	2	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	4	1	no	—
1050	C₂×C₄	—	4	2	no	—
1051	C₂×C₄	—	4	4	no	—
1052	C₂×C₄	—	4	2	no	—
1053	C₂×C₄	—	4	4	no	—
1054	C₂×C₄	—	4	2	no	—
1055	C₂×C₄	—	4	2	no	—
1056	C₂×C₄	—	8	1	no	—
1057	C₂×C₄	—	8	1	no	—
1058	C₂×C₄	—	8	2	no	—
1059	C₂×C₄	—	8	2	no	—
1060	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1061	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1062	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
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	C₂⁵×C₁₃	1	1	yes	characteristic
1069	C₈	—	2	1	no	—
1070	C₈	—	2	2	no	—
1071	C₈	—	2	1	no	—
1072	C₈	—	2	2	no	—
1073	C₈	—	2	1	no	—
1074	C₈	C₂×C₁₃×#41	1	2	yes	—
1075	C₂²	—	2	1	no	—
1076	C₂²	—	2	2	no	—
1077	C₂²	—	2	1	no	—
1078	C₂²	—	2	2	no	—
1079	C₂²	—	2	2	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	2	no	—
1082	C₂²	—	4	1	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	—	4	1	no	—
1085	C₂²	—	4	1	no	—
1086	C₂²	—	4	1	no	—
1087	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1088	C₄	—	2	1	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	2	1	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	2	1	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	2	2	no	—
1096	C₄	—	4	1	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	1	no	—
1099	C₄	—	4	2	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	2	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	2	no	—
1105	C₄	C₁₃×#578	1	2	yes	—
1106	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1107	C₄	C₁₃×#585	1	1	yes	characteristic
1108	C₂	—	4	1	no	—
1109	C₂	—	4	2	no	—
1110	C₂	—	4	2	no	—
1111	C₂	—	8	1	no	—
1112	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1113	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
1114	C₂	C₁₃×#3584	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×#3518	C₂	semidirect
2. C₁₃×#3515	C₂	semidirect
3. C₁₃×#3398	C₂	semidirect
4. C₁₃×#3385	C₂	semidirect
5. C₁₃×#3363	C₂	semidirect
6. C₁₃×#3360	C₂	semidirect
7. C₁₃×#3357	C₂	semidirect
8. C₁₃×#3349	C₂	semidirect
9. C₁₃×#3303	C₂	semidirect
10. C₁₃×#3302	C₂	semidirect
11. C₁₃×#3300	C₂	semidirect
12. C₁₃×#3299	C₂	semidirect
13. C₁₃×#3276	C₂	semidirect
14. C₁₃×#3269	C₂	semidirect
15. C₁₃×#3178	C₂	semidirect
16. C₁₃×#3170	C₂	semidirect
17. C₁₃×#3127	C₂	semidirect
18. C₁₃×#3124	C₂	semidirect
19. C₁₃×#3116	C₂	semidirect
20. C₁₃×#3116	C₂	semidirect
21. C₁₃×#2966	C₂	semidirect
22. C₁₃×#2947	C₂	semidirect
23. C₄×C₁₃×#135	C₂	semidirect
314. #61492	C₁₃	direct (N × H)
450. #3518	C₂×C₁₃	semidirect
451. #3515	C₂×C₁₃	semidirect
452. #3398	C₂×C₁₃	semidirect
453. #3385	C₂×C₁₃	semidirect
454. #3363	C₂×C₁₃	semidirect
455. #3360	C₂×C₁₃	semidirect
456. #3357	C₂×C₁₃	semidirect
457. #3349	C₂×C₁₃	semidirect
458. #3303	C₂×C₁₃	semidirect
459. #3302	C₂×C₁₃	semidirect
460. #3300	C₂×C₁₃	semidirect
461. #3299	C₂×C₁₃	semidirect
462. #3276	C₂×C₁₃	semidirect
463. #3269	C₂×C₁₃	semidirect
464. #3178	C₂×C₁₃	semidirect
465. #3170	C₂×C₁₃	semidirect
466. #3127	C₂×C₁₃	semidirect
467. #3124	C₂×C₁₃	semidirect
468. #3116	C₂×C₁₃	semidirect
469. #3116	C₂×C₁₃	semidirect
470. #2966	C₂×C₁₃	semidirect
471. #2947	C₂×C₁₃	semidirect
472. C₄×#135	C₂×C₁₃	semidirect
1006. C₁₃	#61492	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×#3518	2
C₁₃×#3515	2
C₁₃×#3398	2
C₁₃×#3385	2
C₁₃×#3363	2
C₁₃×#3360	2
C₁₃×#3357	2
C₁₃×#3349	2
C₁₃×#3303	2
C₁₃×#3302	2
C₁₃×#3300	2
C₁₃×#3299	2
C₁₃×#3276	2
C₁₃×#3269	2
C₁₃×#3178	2
C₁₃×#3170	2
C₁₃×#3127	2
C₁₃×#3124	2
C₁₃×#3116	2
C₁₃×#2966	2
C₁₃×#2947	2
C₄×C₁₃×#135	2
#61492	13

Subgroups — C13×#61492 #15747831

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61492 #15747831