Subgroups — C₁₃×#61251 #15747590

Order 3328.

1842 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3475	C₂	1	2	yes	maximal, complemented
2	C₁₃×#3357	C₂	1	2	yes	maximal, complemented
3	C₁₃×#3356	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3355	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3354	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3353	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3352	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3351	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3160	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3091	C₂	1	4	yes	maximal, complemented
11	C₁₃×#3076	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3054	C₂	1	2	yes	maximal, complemented
13	C₄×C₁₃×#135	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×#436	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2911	C₂	1	2	yes	maximal, complemented
16	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
17	C₂²×C₁₃×M₁₆	C₂²	1	2	yes	—
18	C₁₃×#556	C₂²	1	2	yes	—
19	C₁₃×#555	C₂²	1	2	yes	—
20	C₁₃×#554	C₂²	1	2	yes	—
21	C₁₃×#553	C₂²	1	4	yes	—
22	C₁₃×#552	—	2	2	no	—
23	C₁₃×#552	C₂²	1	4	yes	—
24	C₁₃×#551	—	2	4	no	—
25	C₁₃×#547	C₂²	1	2	yes	—
26	C₁₃×#546	—	2	2	no	—
27	C₁₃×#533	C₂²	1	2	yes	—
28	C₁₃×#529	—	2	4	no	—
29	C₁₃×#529	—	2	2	no	—
30	C₁₃×#525	C₂²	1	4	yes	—
31	C₄×C₁₃×#41	—	2	2	no	—
32	C₄×C₁₃×#41	C₂²	1	2	yes	—
33	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#117	C₂²	1	4	yes	—
35	C₁₃×#500	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#500	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#499	C₂²	1	2	yes	complemented
38	C₁₃×#499	C₂²	1	2	yes	complemented
39	C₁₃×#498	C₂²	1	2	yes	complemented
40	C₁₃×#485	C₂²	1	4	yes	complemented
41	C₁₃×#485	C₂²	1	4	yes	complemented
42	C₁₃×#484	C₂²	1	4	yes	complemented
43	C₁₃×#483	C₂²	1	4	yes	complemented
44	C₁₃×#482	C₂²	1	4	yes	complemented
45	C₁₃×#482	C₂²	1	4	yes	complemented
46	C₁₃×#481	C₂²	1	4	yes	complemented
47	C₁₃×#480	C₂²	1	4	yes	complemented
48	C₁₃×#479	C₂²	1	4	yes	complemented
49	C₁₃×#478	C₂²	1	4	yes	complemented
50	C₁₃×#477	C₂²	1	2	yes	complemented
51	C₁₃×#476	C₂²	1	2	yes	complemented
52	C₁₃×#475	C₂²	1	2	yes	complemented
53	C₁₃×#474	C₂²	1	2	yes	complemented
54	C₁₃×#470	C₂²	1	4	yes	complemented
55	C₁₃×#469	C₂²	1	4	yes	complemented
56	C₁₃×#468	C₂²	1	4	yes	complemented
57	C₁₃×#468	C₂²	1	4	yes	complemented
58	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
59	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
60	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
61	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
62	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
63	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#436	C₂²	1	2	yes	—
65	C₁₃×#436	C₂²	1	2	yes	—
66	C₁₃×#436	C₂²	1	2	yes	—
67	C₁₃×#436	C₂²	1	2	yes	—
68	C₁₃×#428	C₂²	1	4	yes	complemented
69	C₁₃×#428	C₂²	1	4	yes	complemented
70	C₁₃×#428	C₂²	1	4	yes	complemented
71	C₁₃×#428	C₂²	1	4	yes	complemented
72	C₁₃×#427	C₂²	1	2	yes	—
73	C₁₃×#427	C₂²	1	4	yes	—
74	C₁₃×#427	C₂²	1	2	yes	—
75	C₁₃×#427	C₂²	1	1	yes	characteristic
76	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
77	C₁₃×#416	C₂²	1	4	yes	—
78	C₁₃×#416	C₂²	1	2	yes	—
79	C₂×C₁₃×C₂²⋊C₈	C₂²	1	2	yes	—
80	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
81	C₂×C₁₃×#41	—	2	2	no	—
82	C₂×C₁₃×#41	C₂³	1	2	yes	—
83	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
84	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
85	C₁₃×#135	—	2	4	no	—
86	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
87	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
88	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
89	C₂×C₁₃×M₁₆	—	2	8	no	—
90	C₂×C₁₃×M₁₆	C₂³	1	4	yes	—
91	C₂×C₁₃×M₁₆	C₂³	1	4	yes	—
92	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
93	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
94	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
95	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
96	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
97	C₁₃×#126	—	2	4	no	—
98	C₁₃×#126	—	2	4	no	—
99	C₁₃×#126	—	2	4	no	—
100	C₁₃×#125	—	2	4	no	—
101	C₁₃×#125	—	2	2	no	—
102	C₁₃×#125	C₂³	1	4	yes	—
103	C₁₃×#124	—	2	2	no	—
104	C₁₃×#124	—	2	4	no	—
105	C₁₃×#123	—	2	4	no	—
106	C₁₃×#123	—	2	4	no	—
107	C₁₃×#123	—	2	4	no	—
108	C₁₃×#123	—	2	4	no	—
109	C₁₃×C₂²⋊Q₈	—	2	2	no	—
110	C₁₃×C₂²⋊Q₈	—	2	2	no	—
111	C₁₃×C₂²⋊Q₈	—	2	2	no	—
112	C₁₃×C₂²⋊Q₈	—	2	4	no	—
113	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
114	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
115	C₁₃×#121	—	2	4	no	—
116	C₁₃×#121	—	2	2	no	—
117	C₁₃×#121	C₂³	1	4	yes	—
118	C₁₃×#121	C₂³	1	4	yes	—
119	C₁₃×#120	—	2	4	no	—
120	C₄×Q₈×C₁₃	—	2	2	no	—
121	C₄×Q₈×C₁₃	—	2	2	no	—
122	C₄×Q₈×C₁₃	—	2	2	no	—
123	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
124	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
125	C₄×D₄×C₁₃	—	2	2	no	—
126	C₄×D₄×C₁₃	—	2	4	no	—
127	C₄×D₄×C₁₃	—	2	2	no	—
128	C₄×D₄×C₁₃	—	2	2	no	—
129	C₄×D₄×C₁₃	—	2	4	no	—
130	C₄×D₄×C₁₃	—	2	4	no	—
131	C₄×D₄×C₁₃	D₄	1	2	yes	—
132	C₄×D₄×C₁₃	D₄	1	2	yes	—
133	C₄×D₄×C₁₃	C₂³	1	2	yes	—
134	C₄×D₄×C₁₃	C₂³	1	2	yes	—
135	C₄×D₄×C₁₃	C₂³	1	2	yes	—
136	C₄×D₄×C₁₃	C₂³	1	2	yes	—
137	C₁₃×#117	—	2	4	no	—
138	C₁₃×#117	—	2	4	no	—
139	C₁₃×#117	—	2	2	no	—
140	C₁₃×#117	—	2	4	no	—
141	C₁₃×#117	—	2	2	no	—
142	C₁₃×#117	C₂³	1	2	yes	—
143	C₁₃×#117	C₂³	1	4	yes	—
144	C₁₃×#117	C₂³	1	4	yes	—
145	C₁₃×#117	C₂³	1	4	yes	—
146	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
147	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
148	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
149	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
150	C₂×C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
151	C₂×C₄²×C₁₃	—	2	4	no	—
152	C₂×C₄²×C₁₃	—	2	2	no	—
153	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
154	C₁₃×#107	C₂³	1	1	yes	characteristic
155	C₁₃×#107	C₂³	1	1	yes	characteristic
156	C₁₃×#107	C₂³	1	2	yes	—
157	C₁₃×#107	C₂³	1	2	yes	—
158	C₁₃×#107	C₂³	1	4	yes	—
159	C₁₃×#107	C₂³	1	4	yes	—
160	C₁₃×#107	C₂³	1	2	yes	—
161	C₁₃×#107	C₂³	1	2	yes	—
162	C₁₃×#106	C₂³	1	2	yes	—
163	C₁₃×#106	C₂³	1	4	yes	—
164	C₁₃×#106	C₂³	1	4	yes	—
165	C₁₃×#106	C₂³	1	4	yes	—
166	C₁₃×#106	C₂³	1	4	yes	—
167	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
168	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
169	C₁₃×#103	C₂³	1	2	yes	—
170	C₁₃×#103	C₂³	1	2	yes	—
171	C₁₃×#103	C₂³	1	4	yes	—
172	C₁₃×#103	C₂³	1	4	yes	—
173	C₁₃×#102	C₂³	1	2	yes	—
174	C₁₃×#102	C₂³	1	2	yes	—
175	C₁₃×#102	C₂³	1	4	yes	—
176	C₁₃×#102	C₂³	1	4	yes	—
177	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
178	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
179	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
180	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
181	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
182	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
183	#61251	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
184	C₂⁴×C₁₃	C₂×D₄	1	2	yes	—
185	C₁₃×#41	—	2	4	no	—
186	C₁₃×#41	—	2	4	no	—
187	C₁₃×#41	—	4	8	no	—
188	C₂×Q₈×C₁₃	—	2	2	no	—
189	C₂×Q₈×C₁₃	—	2	2	no	—
190	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
191	C₂×D₄×C₁₃	—	2	2	no	—
192	C₂×D₄×C₁₃	—	2	4	no	—
193	C₂×D₄×C₁₃	—	2	4	no	—
194	C₂×D₄×C₁₃	—	4	2	no	—
195	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
196	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
197	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
198	C₂²×C₄×C₁₃	—	2	4	no	—
199	C₂²×C₄×C₁₃	—	2	4	no	—
200	C₂²×C₄×C₁₃	—	2	4	no	—
201	C₂²×C₄×C₁₃	—	2	4	no	—
202	C₂²×C₄×C₁₃	—	2	2	no	—
203	C₂²×C₄×C₁₃	—	2	2	no	—
204	C₂²×C₄×C₁₃	—	2	2	no	—
205	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
206	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
207	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
208	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
209	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
210	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
211	C₁₃×Q₁₆	—	2	2	no	—
212	C₁₃×SD₁₆	—	2	4	no	—
213	C₁₃×D₈	—	2	2	no	—
214	C₁₃×M₁₆	—	2	8	no	—
215	C₁₃×M₁₆	—	2	8	no	—
216	C₂×C₈×C₁₃	—	2	4	no	—
217	C₂×C₈×C₁₃	—	2	2	no	—
218	C₂×C₈×C₁₃	#41	1	4	yes	complemented
219	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
220	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
221	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
222	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
223	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
224	C₁₃×C₄⋊C₄	—	2	4	no	—
225	C₁₃×C₄⋊C₄	—	2	4	no	—
226	C₁₃×C₄⋊C₄	—	2	2	no	—
227	C₁₃×C₄⋊C₄	—	2	4	no	—
228	C₁₃×C₄⋊C₄	—	2	4	no	—
229	C₁₃×C₄⋊C₄	—	2	2	no	—
230	C₁₃×C₄⋊C₄	—	2	2	no	—
231	C₁₃×C₄⋊C₄	—	2	4	no	—
232	C₁₃×C₄⋊C₄	—	2	4	no	—
233	C₁₃×C₄⋊C₄	—	2	2	no	—
234	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
235	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
236	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
237	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
238	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
239	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
240	C₁₃×C₂²⋊C₄	—	2	2	no	—
241	C₁₃×C₂²⋊C₄	—	2	4	no	—
242	C₁₃×C₂²⋊C₄	—	2	4	no	—
243	C₁₃×C₂²⋊C₄	—	2	4	no	—
244	C₁₃×C₂²⋊C₄	—	2	4	no	—
245	C₁₃×C₂²⋊C₄	—	2	4	no	—
246	C₁₃×C₂²⋊C₄	—	2	4	no	—
247	C₁₃×C₂²⋊C₄	—	2	2	no	—
248	C₁₃×C₂²⋊C₄	—	2	2	no	—
249	C₁₃×C₂²⋊C₄	—	2	4	no	—
250	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
251	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
252	C₄²×C₁₃	—	2	4	no	—
253	C₄²×C₁₃	—	2	2	no	—
254	C₄²×C₁₃	—	2	4	no	—
255	C₄²×C₁₃	—	2	2	no	—
256	C₄²×C₁₃	—	2	2	no	—
257	C₄²×C₁₃	—	2	4	no	—
258	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
259	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
260	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
261	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
262	#3475	C₂×C₁₃	1	2	yes	complemented
263	#3357	C₂×C₁₃	1	2	yes	complemented
264	#3356	C₂×C₁₃	1	2	yes	complemented
265	#3355	C₂×C₁₃	1	2	yes	complemented
266	#3354	C₂×C₁₃	1	2	yes	complemented
267	#3353	C₂×C₁₃	1	2	yes	complemented
268	#3352	C₂×C₁₃	1	2	yes	complemented
269	#3351	C₂×C₁₃	1	4	yes	complemented
270	#3160	C₂×C₁₃	1	1	yes	characteristic, complemented
271	#3091	C₂×C₁₃	1	4	yes	complemented
272	#3076	C₂×C₁₃	1	2	yes	complemented
273	#3054	C₂×C₁₃	1	2	yes	complemented
274	C₄×#135	C₂×C₁₃	1	1	yes	characteristic, complemented
275	C₂×#436	C₂×C₁₃	1	1	yes	characteristic, complemented
276	#2911	C₂×C₁₃	1	2	yes	complemented
277	C₂³×C₁₃	—	2	4	no	—
278	C₂³×C₁₃	—	2	2	no	—
279	C₂³×C₁₃	—	4	2	no	—
280	C₂³×C₁₃	—	4	2	no	—
281	C₂³×C₁₃	C₂²×D₄	1	4	yes	—
282	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
283	Q₈×C₁₃	—	2	2	no	—
284	Q₈×C₁₃	—	2	2	no	—
285	Q₈×C₁₃	—	4	4	no	—
286	Q₈×C₁₃	—	8	2	no	—
287	D₄×C₁₃	—	2	4	no	—
288	D₄×C₁₃	—	2	2	no	—
289	D₄×C₁₃	—	2	2	no	—
290	D₄×C₁₃	—	4	2	no	—
291	D₄×C₁₃	—	4	8	no	—
292	D₄×C₁₃	—	4	4	no	—
293	D₄×C₁₃	—	8	4	no	—
294	C₂×C₄×C₁₃	—	2	4	no	—
295	C₂×C₄×C₁₃	—	2	8	no	—
296	C₂×C₄×C₁₃	—	2	2	no	—
297	C₂×C₄×C₁₃	—	2	4	no	—
298	C₂×C₄×C₁₃	—	2	4	no	—
299	C₂×C₄×C₁₃	—	2	2	no	—
300	C₂×C₄×C₁₃	—	2	2	no	—
301	C₂×C₄×C₁₃	—	2	2	no	—
302	C₂×C₄×C₁₃	—	2	4	no	—
303	C₂×C₄×C₁₃	—	2	4	no	—
304	C₂×C₄×C₁₃	—	4	1	no	—
305	C₂×C₄×C₁₃	—	4	8	no	—
306	C₂×C₄×C₁₃	—	4	4	no	—
307	C₂×C₄×C₁₃	—	4	4	no	—
308	C₂×C₄×C₁₃	—	8	2	no	—
309	C₂×C₄×C₁₃	—	8	4	no	—
310	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
311	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
312	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
313	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
314	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
315	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
316	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
317	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
318	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
319	C₈×C₁₃	—	2	4	no	—
320	C₈×C₁₃	—	2	1	no	—
321	C₈×C₁₃	—	2	1	no	—
322	C₈×C₁₃	C₂×#41	1	2	yes	—
323	C₈×C₁₃	C₂×#41	1	2	yes	—
324	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
325	C₂²×M₁₆	C₂²×C₁₃	1	2	yes	—
326	#556	C₂²×C₁₃	1	2	yes	—
327	#555	C₂²×C₁₃	1	2	yes	—
328	#554	C₂²×C₁₃	1	2	yes	—
329	#553	C₂²×C₁₃	1	4	yes	—
330	#552	—	2	2	no	—
331	#552	C₂²×C₁₃	1	4	yes	—
332	#551	—	2	4	no	—
333	#547	C₂²×C₁₃	1	2	yes	—
334	#546	—	2	2	no	—
335	#533	C₂²×C₁₃	1	2	yes	—
336	#529	—	2	4	no	—
337	#529	—	2	2	no	—
338	#525	C₂²×C₁₃	1	4	yes	—
339	C₄×#41	—	2	2	no	—
340	C₄×#41	C₂²×C₁₃	1	2	yes	—
341	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
342	C₂×#117	C₂²×C₁₃	1	4	yes	—
343	#500	C₂²×C₁₃	1	1	yes	characteristic, complemented
344	#500	C₂²×C₁₃	1	1	yes	characteristic, complemented
345	#499	C₂²×C₁₃	1	2	yes	complemented
346	#499	C₂²×C₁₃	1	2	yes	complemented
347	#498	C₂²×C₁₃	1	2	yes	complemented
348	#485	C₂²×C₁₃	1	4	yes	complemented
349	#485	C₂²×C₁₃	1	4	yes	complemented
350	#484	C₂²×C₁₃	1	4	yes	complemented
351	#483	C₂²×C₁₃	1	4	yes	complemented
352	#482	C₂²×C₁₃	1	4	yes	complemented
353	#482	C₂²×C₁₃	1	4	yes	complemented
354	#481	C₂²×C₁₃	1	4	yes	complemented
355	#480	C₂²×C₁₃	1	4	yes	complemented
356	#479	C₂²×C₁₃	1	4	yes	complemented
357	#478	C₂²×C₁₃	1	4	yes	complemented
358	#477	C₂²×C₁₃	1	2	yes	complemented
359	#476	C₂²×C₁₃	1	2	yes	complemented
360	#475	C₂²×C₁₃	1	2	yes	complemented
361	#474	C₂²×C₁₃	1	2	yes	complemented
362	#470	C₂²×C₁₃	1	4	yes	complemented
363	#469	C₂²×C₁₃	1	4	yes	complemented
364	#468	C₂²×C₁₃	1	4	yes	complemented
365	#468	C₂²×C₁₃	1	4	yes	complemented
366	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
367	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
368	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
369	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
370	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
371	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
372	#436	C₂²×C₁₃	1	2	yes	—
373	#436	C₂²×C₁₃	1	2	yes	—
374	#436	C₂²×C₁₃	1	2	yes	—
375	#436	C₂²×C₁₃	1	2	yes	—
376	#428	C₂²×C₁₃	1	4	yes	complemented
377	#428	C₂²×C₁₃	1	4	yes	complemented
378	#428	C₂²×C₁₃	1	4	yes	complemented
379	#428	C₂²×C₁₃	1	4	yes	complemented
380	#427	C₂²×C₁₃	1	4	yes	—
381	#427	C₂²×C₁₃	1	2	yes	—
382	#427	C₂²×C₁₃	1	2	yes	—
383	#427	C₂²×C₁₃	1	1	yes	characteristic
384	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
385	#416	C₂²×C₁₃	1	4	yes	—
386	#416	C₂²×C₁₃	1	2	yes	—
387	C₂×C₂²⋊C₈	C₂²×C₁₃	1	2	yes	—
388	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
389	C₂²×C₁₃	—	2	1	no	—
390	C₂²×C₁₃	—	2	1	no	—
391	C₂²×C₁₃	—	2	4	no	—
392	C₂²×C₁₃	—	2	4	no	—
393	C₂²×C₁₃	—	2	4	no	—
394	C₂²×C₁₃	—	4	2	no	—
395	C₂²×C₁₃	—	4	2	no	—
396	C₂²×C₁₃	—	4	2	no	—
397	C₂²×C₁₃	—	8	4	no	—
398	C₂²×C₁₃	#547	1	2	yes	—
399	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
400	C₄×C₁₃	—	2	1	no	—
401	C₄×C₁₃	—	2	1	no	—
402	C₄×C₁₃	—	2	4	no	—
403	C₄×C₁₃	—	2	1	no	—
404	C₄×C₁₃	—	4	2	no	—
405	C₄×C₁₃	—	4	4	no	—
406	C₄×C₁₃	—	4	2	no	—
407	C₄×C₁₃	—	4	2	no	—
408	C₄×C₁₃	—	4	4	no	—
409	C₄×C₁₃	#547	1	2	yes	—
410	C₄×C₁₃	#575	1	2	yes	—
411	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
412	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
413	C₂×#41	—	2	2	no	—
414	C₂×#41	C₂³×C₁₃	1	2	yes	—
415	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
416	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
417	#135	—	2	4	no	—
418	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
419	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
420	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
421	C₂×M₁₆	—	2	8	no	—
422	C₂×M₁₆	C₂³×C₁₃	1	4	yes	—
423	C₂×M₁₆	C₂³×C₁₃	1	4	yes	—
424	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
425	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
426	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
427	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
428	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
429	#126	—	2	4	no	—
430	#126	—	2	4	no	—
431	#126	—	2	4	no	—
432	#125	—	2	4	no	—
433	#125	—	2	2	no	—
434	#125	C₂³×C₁₃	1	4	yes	—
435	#124	—	2	2	no	—
436	#124	—	2	4	no	—
437	#123	—	2	4	no	—
438	#123	—	2	4	no	—
439	#123	—	2	4	no	—
440	#123	—	2	4	no	—
441	C₂²⋊Q₈	—	2	2	no	—
442	C₂²⋊Q₈	—	2	2	no	—
443	C₂²⋊Q₈	—	2	2	no	—
444	C₂²⋊Q₈	—	2	4	no	—
445	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
446	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
447	#121	—	2	4	no	—
448	#121	—	2	2	no	—
449	#121	C₂³×C₁₃	1	4	yes	—
450	#121	C₂³×C₁₃	1	4	yes	—
451	#120	—	2	4	no	—
452	C₄×Q₈	—	2	2	no	—
453	C₄×Q₈	—	2	2	no	—
454	C₄×Q₈	—	2	2	no	—
455	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
456	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
457	C₄×D₄	—	2	2	no	—
458	C₄×D₄	—	2	4	no	—
459	C₄×D₄	—	2	2	no	—
460	C₄×D₄	—	2	2	no	—
461	C₄×D₄	—	2	4	no	—
462	C₄×D₄	—	2	4	no	—
463	C₄×D₄	D₄×C₁₃	1	2	yes	—
464	C₄×D₄	D₄×C₁₃	1	2	yes	—
465	C₄×D₄	C₂³×C₁₃	1	2	yes	—
466	C₄×D₄	C₂³×C₁₃	1	2	yes	—
467	C₄×D₄	C₂³×C₁₃	1	2	yes	—
468	C₄×D₄	C₂³×C₁₃	1	2	yes	—
469	#117	—	2	4	no	—
470	#117	—	2	4	no	—
471	#117	—	2	2	no	—
472	#117	—	2	4	no	—
473	#117	—	2	2	no	—
474	#117	C₂³×C₁₃	1	2	yes	—
475	#117	C₂³×C₁₃	1	4	yes	—
476	#117	C₂³×C₁₃	1	4	yes	—
477	#117	C₂³×C₁₃	1	4	yes	—
478	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
479	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
480	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
481	C₂×C₂²⋊C₄	—	2	4	no	—
482	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
483	C₂×C₄²	—	2	4	no	—
484	C₂×C₄²	—	2	2	no	—
485	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
486	#107	C₂³×C₁₃	1	1	yes	characteristic
487	#107	C₂³×C₁₃	1	1	yes	characteristic
488	#107	C₂³×C₁₃	1	2	yes	—
489	#107	C₂³×C₁₃	1	2	yes	—
490	#107	C₂³×C₁₃	1	4	yes	—
491	#107	C₂³×C₁₃	1	4	yes	—
492	#107	C₂³×C₁₃	1	2	yes	—
493	#107	C₂³×C₁₃	1	2	yes	—
494	#106	C₂³×C₁₃	1	2	yes	—
495	#106	C₂³×C₁₃	1	4	yes	—
496	#106	C₂³×C₁₃	1	4	yes	—
497	#106	C₂³×C₁₃	1	4	yes	—
498	#106	C₂³×C₁₃	1	4	yes	—
499	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
500	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
501	#103	C₂³×C₁₃	1	2	yes	—
502	#103	C₂³×C₁₃	1	2	yes	—
503	#103	C₂³×C₁₃	1	4	yes	—
504	#103	C₂³×C₁₃	1	4	yes	—
505	#102	C₂³×C₁₃	1	2	yes	—
506	#102	C₂³×C₁₃	1	2	yes	—
507	#102	C₂³×C₁₃	1	4	yes	—
508	#102	C₂³×C₁₃	1	4	yes	—
509	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
510	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
511	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
512	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
513	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
514	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
515	C₂×C₁₃	—	2	2	no	—
516	C₂×C₁₃	—	4	4	no	—
517	C₂×C₁₃	—	8	2	no	—
518	C₂×C₁₃	C₂×#547	1	1	yes	characteristic
519	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
520	C₂×C₁₃	#3584	1	1	yes	characteristic
521	C₂⁴	C₂×D₄×C₁₃	1	2	yes	—
522	#41	—	2	4	no	—
523	#41	—	2	4	no	—
524	#41	—	4	8	no	—
525	C₂×Q₈	—	2	2	no	—
526	C₂×Q₈	—	2	2	no	—
527	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
528	C₂×D₄	—	2	2	no	—
529	C₂×D₄	—	2	4	no	—
530	C₂×D₄	—	2	4	no	—
531	C₂×D₄	—	4	2	no	—
532	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
533	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
534	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
535	C₂²×C₄	—	2	4	no	—
536	C₂²×C₄	—	2	4	no	—
537	C₂²×C₄	—	2	4	no	—
538	C₂²×C₄	—	2	4	no	—
539	C₂²×C₄	—	2	2	no	—
540	C₂²×C₄	—	2	2	no	—
541	C₂²×C₄	—	2	2	no	—
542	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
543	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
544	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
545	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
546	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
547	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
548	Q₁₆	—	2	2	no	—
549	SD₁₆	—	2	4	no	—
550	D₈	—	2	2	no	—
551	M₁₆	—	2	8	no	—
552	M₁₆	—	2	8	no	—
553	C₂×C₈	—	2	4	no	—
554	C₂×C₈	—	2	2	no	—
555	C₂×C₈	C₁₃×#41	1	4	yes	complemented
556	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
557	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
558	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
559	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
560	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
561	C₄⋊C₄	—	2	4	no	—
562	C₄⋊C₄	—	2	4	no	—
563	C₄⋊C₄	—	2	2	no	—
564	C₄⋊C₄	—	2	4	no	—
565	C₄⋊C₄	—	2	4	no	—
566	C₄⋊C₄	—	2	2	no	—
567	C₄⋊C₄	—	2	2	no	—
568	C₄⋊C₄	—	2	4	no	—
569	C₄⋊C₄	—	2	4	no	—
570	C₄⋊C₄	—	2	2	no	—
571	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
572	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
573	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
574	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
575	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
576	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
577	C₂²⋊C₄	—	2	2	no	—
578	C₂²⋊C₄	—	2	4	no	—
579	C₂²⋊C₄	—	2	4	no	—
580	C₂²⋊C₄	—	2	4	no	—
581	C₂²⋊C₄	—	2	4	no	—
582	C₂²⋊C₄	—	2	4	no	—
583	C₂²⋊C₄	—	2	4	no	—
584	C₂²⋊C₄	—	2	2	no	—
585	C₂²⋊C₄	—	2	2	no	—
586	C₂²⋊C₄	—	2	4	no	—
587	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
588	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
589	C₄²	—	2	2	no	—
590	C₄²	—	2	4	no	—
591	C₄²	—	2	2	no	—
592	C₄²	—	2	4	no	—
593	C₄²	—	2	4	no	—
594	C₄²	—	2	2	no	—
595	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
596	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
597	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
598	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
599	C₁₃	#61251	1	1	yes	characteristic, direct product factor, Sylow
600	C₂³	—	2	4	no	—
601	C₂³	—	2	2	no	—
602	C₂³	—	4	2	no	—
603	C₂³	—	4	2	no	—
604	C₂³	C₂²×D₄×C₁₃	1	4	yes	—
605	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
606	Q₈	—	2	2	no	—
607	Q₈	—	2	2	no	—
608	Q₈	—	4	4	no	—
609	Q₈	—	8	2	no	—
610	D₄	—	2	4	no	—
611	D₄	—	2	2	no	—
612	D₄	—	2	2	no	—
613	D₄	—	4	2	no	—
614	D₄	—	4	8	no	—
615	D₄	—	4	4	no	—
616	D₄	—	8	4	no	—
617	C₂×C₄	—	2	4	no	—
618	C₂×C₄	—	2	8	no	—
619	C₂×C₄	—	2	2	no	—
620	C₂×C₄	—	2	4	no	—
621	C₂×C₄	—	2	4	no	—
622	C₂×C₄	—	2	2	no	—
623	C₂×C₄	—	2	2	no	—
624	C₂×C₄	—	2	2	no	—
625	C₂×C₄	—	2	4	no	—
626	C₂×C₄	—	2	4	no	—
627	C₂×C₄	—	4	1	no	—
628	C₂×C₄	—	4	8	no	—
629	C₂×C₄	—	4	4	no	—
630	C₂×C₄	—	4	4	no	—
631	C₂×C₄	—	8	2	no	—
632	C₂×C₄	—	8	4	no	—
633	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
634	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
635	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
636	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
637	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
638	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
639	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
640	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
641	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
642	C₈	—	2	4	no	—
643	C₈	—	2	1	no	—
644	C₈	—	2	1	no	—
645	C₈	C₂×C₁₃×#41	1	2	yes	—
646	C₈	C₂×C₁₃×#41	1	2	yes	—
647	C₂²	—	2	1	no	—
648	C₂²	—	2	1	no	—
649	C₂²	—	2	4	no	—
650	C₂²	—	2	4	no	—
651	C₂²	—	2	4	no	—
652	C₂²	—	4	2	no	—
653	C₂²	—	4	2	no	—
654	C₂²	—	4	2	no	—
655	C₂²	—	8	4	no	—
656	C₂²	C₁₃×#547	1	2	yes	—
657	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
658	C₄	—	2	1	no	—
659	C₄	—	2	1	no	—
660	C₄	—	2	1	no	—
661	C₄	—	2	4	no	—
662	C₄	—	4	2	no	—
663	C₄	—	4	4	no	—
664	C₄	—	4	2	no	—
665	C₄	—	4	4	no	—
666	C₄	—	4	2	no	—
667	C₄	C₁₃×#547	1	2	yes	—
668	C₄	C₁₃×#575	1	2	yes	—
669	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
670	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
671	C₂	—	2	2	no	—
672	C₂	—	4	4	no	—
673	C₂	—	8	2	no	—
674	C₂	C₂×C₁₃×#547	1	1	yes	characteristic
675	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
676	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×D₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3475	C₂	semidirect
2. C₁₃×#3357	C₂	semidirect
3. C₁₃×#3356	C₂	semidirect
4. C₁₃×#3355	C₂	semidirect
5. C₁₃×#3354	C₂	semidirect
6. C₁₃×#3353	C₂	semidirect
7. C₁₃×#3352	C₂	semidirect
8. C₁₃×#3351	C₂	semidirect
9. C₁₃×#3160	C₂	semidirect
10. C₁₃×#3091	C₂	semidirect
11. C₁₃×#3076	C₂	semidirect
12. C₁₃×#3054	C₂	semidirect
13. C₄×C₁₃×#135	C₂	semidirect
14. C₂×C₁₃×#436	C₂	semidirect
15. C₁₃×#2911	C₂	semidirect
35. C₁₃×#500	C₂²	semidirect
36. C₁₃×#500	C₂²	semidirect
37. C₁₃×#499	C₂²	semidirect
38. C₁₃×#499	C₂²	semidirect
39. C₁₃×#498	C₂²	semidirect
40. C₁₃×#485	C₂²	semidirect
41. C₁₃×#485	C₂²	semidirect
42. C₁₃×#484	C₂²	semidirect
43. C₁₃×#483	C₂²	semidirect
44. C₁₃×#482	C₂²	semidirect
45. C₁₃×#482	C₂²	semidirect
46. C₁₃×#481	C₂²	semidirect
47. C₁₃×#480	C₂²	semidirect
48. C₁₃×#479	C₂²	semidirect
49. C₁₃×#478	C₂²	semidirect
50. C₁₃×#477	C₂²	semidirect
51. C₁₃×#476	C₂²	semidirect
52. C₁₃×#475	C₂²	semidirect
53. C₁₃×#474	C₂²	semidirect
54. C₁₃×#470	C₂²	semidirect
55. C₁₃×#469	C₂²	semidirect
56. C₁₃×#468	C₂²	semidirect
57. C₁₃×#468	C₂²	semidirect
58. C₄×C₁₃×Q₁₆	C₂²	semidirect
59. C₄×C₁₃×Q₁₆	C₂²	semidirect
60. C₄×C₁₃×SD₁₆	C₂²	semidirect
61. C₄×C₁₃×SD₁₆	C₂²	semidirect
62. C₄×C₁₃×D₈	C₂²	semidirect
63. C₄×C₁₃×D₈	C₂²	semidirect
68. C₁₃×#428	C₂²	semidirect
69. C₁₃×#428	C₂²	semidirect
70. C₁₃×#428	C₂²	semidirect
71. C₁₃×#428	C₂²	semidirect
183. #61251	C₁₃	direct (N × H)
218. C₂×C₈×C₁₃	#41	semidirect
262. #3475	C₂×C₁₃	semidirect
263. #3357	C₂×C₁₃	semidirect
264. #3356	C₂×C₁₃	semidirect
265. #3355	C₂×C₁₃	semidirect
266. #3354	C₂×C₁₃	semidirect
267. #3353	C₂×C₁₃	semidirect
268. #3352	C₂×C₁₃	semidirect
269. #3351	C₂×C₁₃	semidirect
270. #3160	C₂×C₁₃	semidirect
271. #3091	C₂×C₁₃	semidirect
272. #3076	C₂×C₁₃	semidirect
273. #3054	C₂×C₁₃	semidirect
274. C₄×#135	C₂×C₁₃	semidirect
275. C₂×#436	C₂×C₁₃	semidirect
276. #2911	C₂×C₁₃	semidirect
343. #500	C₂²×C₁₃	semidirect
344. #500	C₂²×C₁₃	semidirect
345. #499	C₂²×C₁₃	semidirect
346. #499	C₂²×C₁₃	semidirect
347. #498	C₂²×C₁₃	semidirect
348. #485	C₂²×C₁₃	semidirect
349. #485	C₂²×C₁₃	semidirect
350. #484	C₂²×C₁₃	semidirect
351. #483	C₂²×C₁₃	semidirect
352. #482	C₂²×C₁₃	semidirect
353. #482	C₂²×C₁₃	semidirect
354. #481	C₂²×C₁₃	semidirect
355. #480	C₂²×C₁₃	semidirect
356. #479	C₂²×C₁₃	semidirect
357. #478	C₂²×C₁₃	semidirect
358. #477	C₂²×C₁₃	semidirect
359. #476	C₂²×C₁₃	semidirect
360. #475	C₂²×C₁₃	semidirect
361. #474	C₂²×C₁₃	semidirect
362. #470	C₂²×C₁₃	semidirect
363. #469	C₂²×C₁₃	semidirect
364. #468	C₂²×C₁₃	semidirect
365. #468	C₂²×C₁₃	semidirect
366. C₄×Q₁₆	C₂²×C₁₃	semidirect
367. C₄×Q₁₆	C₂²×C₁₃	semidirect
368. C₄×SD₁₆	C₂²×C₁₃	semidirect
369. C₄×SD₁₆	C₂²×C₁₃	semidirect
370. C₄×D₈	C₂²×C₁₃	semidirect
371. C₄×D₈	C₂²×C₁₃	semidirect
376. #428	C₂²×C₁₃	semidirect
377. #428	C₂²×C₁₃	semidirect
378. #428	C₂²×C₁₃	semidirect
379. #428	C₂²×C₁₃	semidirect
555. C₂×C₈	C₁₃×#41	semidirect
599. C₁₃	#61251	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×#3475	2
C₁₃×#3357	2
C₁₃×#3356	2
C₁₃×#3355	2
C₁₃×#3354	2
C₁₃×#3353	2
C₁₃×#3352	2
C₁₃×#3351	2
C₁₃×#3160	2
C₁₃×#3091	2
C₁₃×#3076	2
C₁₃×#3054	2
C₄×C₁₃×#135	2
C₂×C₁₃×#436	2
C₁₃×#2911	2
#61251	13

Subgroups — C13×#61251 #15747590

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61251 #15747590