Subgroups — C₁₃×#62855 #15749194

Order 3328.

7370 conjugacy classes of subgroups.

The subgroup lattice has 580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3510	C₂	1	8	yes	maximal, complemented
2	C₁₃×#3508	C₂	1	8	yes	maximal, complemented
3	C₁₃×#3506	C₂	1	8	yes	maximal, complemented
4	C₁₃×#3494	C₂	1	16	yes	maximal, complemented
5	C₁₃×#3490	C₂	1	8	yes	maximal, complemented
6	C₁₃×#3460	C₂	1	8	yes	maximal, complemented
7	C₁₃×#3458	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3449	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₃×#535	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3428	C₂	1	2	yes	maximal, complemented
11	C₂×C₁₃×#518	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×C₁₃×#41	C₂²	1	2	yes	—
13	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
14	C₁₃×#559	C₂²	1	32	yes	complemented
15	C₁₃×#556	C₂²	1	16	yes	complemented
16	C₁₃×#555	C₂²	1	16	yes	complemented
17	C₁₃×#553	C₂²	1	32	yes	complemented
18	C₁₃×#551	C₂²	1	64	yes	complemented
19	C₁₃×#550	C₂²	1	16	yes	complemented
20	C₁₃×#547	C₂²	1	16	yes	complemented
21	C₁₃×#546	C₂²	1	64	yes	complemented
22	C₁₃×#544	C₂²	1	4	yes	complemented
23	C₁₃×#544	C₂²	1	8	yes	complemented
24	C₁₃×#543	C₂²	1	4	yes	—
25	C₁₃×#542	C₂²	1	32	yes	complemented
26	C₁₃×#540	C₂²	1	32	yes	complemented
27	C₁₃×#538	C₂²	1	32	yes	complemented
28	C₁₃×#537	C₂²	1	4	yes	complemented
29	C₁₃×#536	C₂²	1	4	yes	complemented
30	C₁₃×#535	C₂²	1	8	yes	—
31	C₁₃×#535	C₂²	1	8	yes	—
32	C₁₃×#535	C₂²	1	8	yes	complemented
33	C₁₃×#535	C₂²	1	8	yes	complemented
34	C₁₃×#535	C₂²	1	4	yes	complemented
35	C₁₃×#534	C₂²	1	4	yes	—
36	C₁₃×#533	C₂²	1	4	yes	complemented
37	C₁₃×#533	C₂²	1	8	yes	complemented
38	C₁₃×#532	C₂²	1	4	yes	complemented
39	C₁₃×#532	C₂²	1	32	yes	complemented
40	C₂×C₁₃×#127	C₂²	1	4	yes	complemented
41	C₁₃×#529	C₂²	1	32	yes	complemented
42	C₂×C₁₃×#124	C₂²	1	4	yes	complemented
43	C₁₃×#525	C₂²	1	8	yes	complemented
44	C₁₃×#525	C₂²	1	32	yes	complemented
45	C₂×C₁₃×#121	C₂²	1	8	yes	complemented
46	C₂×C₁₃×#120	C₂²	1	8	yes	—
47	C₁₃×#520	C₂²	1	8	yes	complemented
48	C₁₃×#520	C₂²	1	8	yes	complemented
49	C₁₃×#519	C₂²	1	4	yes	complemented
50	C₁₃×#518	C₂²	1	8	yes	—
51	C₁₃×#518	C₂²	1	8	yes	complemented
52	C₁₃×#518	C₂²	1	8	yes	complemented
53	C₁₃×#518	C₂²	1	4	yes	complemented
54	C₄×C₁₃×#41	C₂²	1	8	yes	complemented
55	C₄×C₁₃×#41	C₂²	1	8	yes	complemented
56	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
57	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
58	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
59	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
60	C₂×C₁₃×#117	C₂²	1	2	yes	—
61	C₂×C₁₃×#117	C₂²	1	8	yes	complemented
62	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	4	yes	—
63	C₂⁵×C₁₃	C₂³	1	2	yes	—
64	C₂×C₁₃×#41	—	2	16	no	—
65	C₂×C₁₃×#41	C₂³	1	4	yes	—
66	C₂×C₁₃×#41	C₂³	1	4	yes	—
67	C₂×C₁₃×#41	C₂³	1	4	yes	—
68	C₂×C₁₃×#41	C₂³	1	4	yes	—
69	C₂×C₁₃×#41	C₂³	1	32	yes	complemented
70	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
71	C₂²×D₄×C₁₃	—	2	8	no	—
72	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
73	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
74	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
75	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
76	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
77	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
78	C₂²×D₄×C₁₃	C₂³	1	16	yes	—
79	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
80	C₂³×C₄×C₁₃	C₂³	1	8	yes	—
81	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
82	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	complemented
83	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	complemented
84	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
85	C₁₃×#127	C₂³	1	16	yes	—
86	C₁₃×#127	C₂³	1	16	yes	—
87	C₁₃×#127	C₂³	1	4	yes	complemented
88	C₁₃×#126	C₂³	1	64	yes	complemented
89	C₁₃×#125	C₂³	1	16	yes	complemented
90	C₁₃×#125	C₂³	1	8	yes	complemented
91	C₁₃×#124	C₂³	1	16	yes	—
92	C₁₃×#124	C₂³	1	16	yes	—
93	C₁₃×#124	C₂³	1	8	yes	complemented
94	C₁₃×#124	C₂³	1	64	yes	complemented
95	C₁₃×#123	C₂³	1	16	yes	—
96	C₁₃×#123	C₂³	1	64	yes	complemented
97	C₁₃×#123	C₂³	1	64	yes	complemented
98	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
99	C₁₃×C₂²⋊Q₈	C₂³	1	32	yes	—
100	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
101	C₁₃×C₂²⋊Q₈	C₂³	1	32	yes	complemented
102	C₁₃×#121	C₂³	1	32	yes	—
103	C₁₃×#121	C₂³	1	32	yes	—
104	C₁₃×#121	C₂³	1	16	yes	—
105	C₁₃×#121	C₂³	1	16	yes	complemented
106	C₁₃×#121	C₂³	1	32	yes	complemented
107	C₁₃×#121	C₂³	1	64	yes	complemented
108	C₁₃×#120	C₂³	1	32	yes	—
109	C₁₃×#120	C₂³	1	32	yes	—
110	C₁₃×#120	C₂³	1	16	yes	—
111	C₄×Q₈×C₁₃	C₂³	1	16	yes	complemented
112	C₄×Q₈×C₁₃	C₂³	1	16	yes	complemented
113	C₄×Q₈×C₁₃	C₂³	1	16	yes	complemented
114	C₄×D₄×C₁₃	C₂³	1	32	yes	—
115	C₄×D₄×C₁₃	C₂³	1	16	yes	—
116	C₄×D₄×C₁₃	C₂³	1	16	yes	—
117	C₄×D₄×C₁₃	C₂³	1	32	yes	—
118	C₄×D₄×C₁₃	C₂³	1	32	yes	—
119	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
120	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
121	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
122	C₄×D₄×C₁₃	C₂³	1	64	yes	complemented
123	C₁₃×#117	C₂³	1	4	yes	—
124	C₁₃×#117	C₂³	1	4	yes	—
125	C₁₃×#117	C₂³	1	4	yes	—
126	C₁₃×#117	C₂³	1	4	yes	—
127	C₁₃×#117	C₂³	1	4	yes	—
128	C₁₃×#117	C₂³	1	4	yes	—
129	C₁₃×#117	C₂³	1	4	yes	—
130	C₁₃×#117	C₂³	1	4	yes	—
131	C₁₃×#117	C₂³	1	16	yes	—
132	C₁₃×#117	C₂³	1	16	yes	complemented
133	C₁₃×#117	C₂³	1	16	yes	complemented
134	C₁₃×#117	C₂³	1	32	yes	complemented
135	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
136	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
137	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
138	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	complemented
139	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
140	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
141	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
142	C₂×C₁₃×C₂²⋊C₄	C₂³	1	32	yes	—
143	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
144	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
145	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
146	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
147	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
148	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
149	C₂×C₄²×C₁₃	C₂³	1	16	yes	complemented
150	#62855	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
151	C₂⁴×C₁₃	—	2	8	no	—
152	C₂⁴×C₁₃	—	8	4	no	—
153	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
154	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
155	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
156	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
157	C₁₃×#41	—	2	16	no	—
158	C₁₃×#41	—	2	16	no	—
159	C₁₃×#41	—	2	16	no	—
160	C₁₃×#41	—	2	16	no	—
161	C₁₃×#41	—	8	32	no	—
162	C₂×Q₈×C₁₃	—	2	8	no	—
163	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
164	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
165	C₂×Q₈×C₁₃	C₂⁴	1	16	yes	—
166	C₂×D₄×C₁₃	—	2	16	no	—
167	C₂×D₄×C₁₃	—	2	16	no	—
168	C₂×D₄×C₁₃	—	2	16	no	—
169	C₂×D₄×C₁₃	—	2	8	no	—
170	C₂×D₄×C₁₃	—	2	8	no	—
171	C₂×D₄×C₁₃	—	2	8	no	—
172	C₂×D₄×C₁₃	—	8	16	no	—
173	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
174	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
175	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
176	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
177	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
178	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
179	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
180	C₂×D₄×C₁₃	C₂⁴	1	64	yes	—
181	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
182	C₂²×C₄×C₁₃	—	2	16	no	—
183	C₂²×C₄×C₁₃	—	8	8	no	—
184	C₂²×C₄×C₁₃	#41	1	8	yes	complemented
185	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
186	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
187	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
188	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
189	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
190	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
191	C₂²×C₄×C₁₃	C₂⁴	1	32	yes	—
192	C₂²×C₄×C₁₃	C₂⁴	1	32	yes	—
193	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
194	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
195	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
196	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
197	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
198	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
199	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
200	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
201	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
202	C₁₃×C₄⋊C₄	C₂⁴	1	32	yes	—
203	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
204	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
205	C₁₃×C₄⋊C₄	C₂⁴	1	32	yes	—
206	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
207	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
208	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
209	C₁₃×C₂²⋊C₄	C₂⁴	1	32	yes	—
210	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
211	C₁₃×C₂²⋊C₄	C₂⁴	1	32	yes	—
212	C₁₃×C₂²⋊C₄	C₂⁴	1	64	yes	—
213	C₁₃×C₂²⋊C₄	C₂⁴	1	32	yes	—
214	C₄²×C₁₃	C₂⁴	1	8	yes	—
215	C₄²×C₁₃	C₂⁴	1	8	yes	—
216	C₄²×C₁₃	C₂⁴	1	4	yes	—
217	C₄²×C₁₃	C₂⁴	1	4	yes	—
218	C₄²×C₁₃	C₂⁴	1	8	yes	—
219	C₄²×C₁₃	C₂⁴	1	32	yes	—
220	#3510	C₂×C₁₃	1	8	yes	complemented
221	#3508	C₂×C₁₃	1	8	yes	complemented
222	#3506	C₂×C₁₃	1	8	yes	complemented
223	#3494	C₂×C₁₃	1	16	yes	complemented
224	#3490	C₂×C₁₃	1	8	yes	complemented
225	#3460	C₂×C₁₃	1	8	yes	complemented
226	#3458	C₂×C₁₃	1	1	yes	characteristic, complemented
227	#3449	C₂×C₁₃	1	1	yes	characteristic, complemented
228	C₂×#535	C₂×C₁₃	1	2	yes	complemented
229	#3428	C₂×C₁₃	1	2	yes	complemented
230	C₂×#518	C₂×C₁₃	1	1	yes	characteristic, complemented
231	C₂³×C₁₃	—	2	8	no	—
232	C₂³×C₁₃	—	2	8	no	—
233	C₂³×C₁₃	—	2	16	no	—
234	C₂³×C₁₃	—	4	8	no	—
235	C₂³×C₁₃	—	4	2	no	—
236	C₂³×C₁₃	—	4	8	no	—
237	C₂³×C₁₃	—	4	16	no	—
238	C₂³×C₁₃	—	8	16	no	—
239	C₂³×C₁₃	C₂×#41	1	4	yes	—
240	C₂³×C₁₃	C₂⁵	1	8	yes	—
241	C₂³×C₁₃	C₂⁵	1	8	yes	—
242	C₂³×C₁₃	C₂⁵	1	2	yes	—
243	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
244	Q₈×C₁₃	—	2	8	no	—
245	Q₈×C₁₃	—	2	8	no	—
246	Q₈×C₁₃	—	4	16	no	—
247	D₄×C₁₃	—	2	16	no	—
248	D₄×C₁₃	—	2	16	no	—
249	D₄×C₁₃	—	2	8	no	—
250	D₄×C₁₃	—	2	16	no	—
251	D₄×C₁₃	—	2	8	no	—
252	D₄×C₁₃	—	2	8	no	—
253	D₄×C₁₃	—	2	8	no	—
254	D₄×C₁₃	—	4	64	no	—
255	D₄×C₁₃	—	4	16	no	—
256	C₂×C₄×C₁₃	—	2	8	no	—
257	C₂×C₄×C₁₃	—	2	16	no	—
258	C₂×C₄×C₁₃	—	2	16	no	—
259	C₂×C₄×C₁₃	—	4	4	no	—
260	C₂×C₄×C₁₃	—	4	4	no	—
261	C₂×C₄×C₁₃	—	4	32	no	—
262	C₂×C₄×C₁₃	—	4	8	no	—
263	C₂×C₄×C₁₃	—	4	32	no	—
264	C₂×C₄×C₁₃	C₂×#41	1	8	yes	—
265	C₂×C₄×C₁₃	C₂×#41	1	8	yes	—
266	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
267	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
268	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
269	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
270	C₂×C₄×C₁₃	C₂⁵	1	16	yes	—
271	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
272	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
273	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
274	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
275	C₂²×#41	C₂²×C₁₃	1	2	yes	—
276	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
277	#559	C₂²×C₁₃	1	32	yes	complemented
278	#556	C₂²×C₁₃	1	16	yes	complemented
279	#555	C₂²×C₁₃	1	16	yes	complemented
280	#553	C₂²×C₁₃	1	32	yes	complemented
281	#551	C₂²×C₁₃	1	64	yes	complemented
282	#550	C₂²×C₁₃	1	16	yes	complemented
283	#547	C₂²×C₁₃	1	16	yes	complemented
284	#546	C₂²×C₁₃	1	64	yes	complemented
285	#544	C₂²×C₁₃	1	4	yes	complemented
286	#544	C₂²×C₁₃	1	8	yes	complemented
287	#543	C₂²×C₁₃	1	4	yes	—
288	#542	C₂²×C₁₃	1	32	yes	complemented
289	#540	C₂²×C₁₃	1	32	yes	complemented
290	#538	C₂²×C₁₃	1	32	yes	complemented
291	#537	C₂²×C₁₃	1	4	yes	complemented
292	#536	C₂²×C₁₃	1	4	yes	complemented
293	#535	C₂²×C₁₃	1	8	yes	—
294	#535	C₂²×C₁₃	1	8	yes	—
295	#535	C₂²×C₁₃	1	8	yes	complemented
296	#535	C₂²×C₁₃	1	8	yes	complemented
297	#535	C₂²×C₁₃	1	4	yes	complemented
298	#534	C₂²×C₁₃	1	4	yes	—
299	#533	C₂²×C₁₃	1	4	yes	complemented
300	#533	C₂²×C₁₃	1	8	yes	complemented
301	#532	C₂²×C₁₃	1	4	yes	complemented
302	#532	C₂²×C₁₃	1	32	yes	complemented
303	C₂×#127	C₂²×C₁₃	1	4	yes	complemented
304	#529	C₂²×C₁₃	1	32	yes	complemented
305	C₂×#124	C₂²×C₁₃	1	4	yes	complemented
306	#525	C₂²×C₁₃	1	8	yes	complemented
307	#525	C₂²×C₁₃	1	32	yes	complemented
308	C₂×#121	C₂²×C₁₃	1	8	yes	complemented
309	C₂×#120	C₂²×C₁₃	1	8	yes	—
310	#520	C₂²×C₁₃	1	8	yes	complemented
311	#520	C₂²×C₁₃	1	8	yes	complemented
312	#519	C₂²×C₁₃	1	4	yes	complemented
313	#518	C₂²×C₁₃	1	8	yes	—
314	#518	C₂²×C₁₃	1	8	yes	complemented
315	#518	C₂²×C₁₃	1	8	yes	complemented
316	#518	C₂²×C₁₃	1	4	yes	complemented
317	C₄×#41	C₂²×C₁₃	1	8	yes	complemented
318	C₄×#41	C₂²×C₁₃	1	8	yes	complemented
319	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	complemented
320	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	complemented
321	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
322	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
323	C₂×#117	C₂²×C₁₃	1	2	yes	—
324	C₂×#117	C₂²×C₁₃	1	8	yes	complemented
325	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	4	yes	—
326	C₂²×C₁₃	—	2	2	no	—
327	C₂²×C₁₃	—	2	4	no	—
328	C₂²×C₁₃	—	2	8	no	—
329	C₂²×C₁₃	—	2	8	no	—
330	C₂²×C₁₃	—	2	16	no	—
331	C₂²×C₁₃	—	2	16	no	—
332	C₂²×C₁₃	—	4	4	no	—
333	C₂²×C₁₃	—	4	16	no	—
334	C₂²×C₁₃	—	8	8	no	—
335	C₂²×C₁₃	—	8	16	no	—
336	C₂²×C₁₃	C₂²×#41	1	4	yes	—
337	C₂²×C₁₃	C₂²×#41	1	2	yes	—
338	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
339	C₄×C₁₃	—	2	8	no	—
340	C₄×C₁₃	—	2	8	no	—
341	C₄×C₁₃	—	2	8	no	—
342	C₄×C₁₃	—	2	16	no	—
343	C₄×C₁₃	C₂²×#41	1	2	yes	—
344	C₄×C₁₃	C₂²×#41	1	4	yes	—
345	C₄×C₁₃	C₂²×#41	1	2	yes	—
346	C₂⁵	C₂³×C₁₃	1	2	yes	—
347	C₂×#41	—	2	16	no	—
348	C₂×#41	C₂³×C₁₃	1	4	yes	—
349	C₂×#41	C₂³×C₁₃	1	4	yes	—
350	C₂×#41	C₂³×C₁₃	1	4	yes	—
351	C₂×#41	C₂³×C₁₃	1	4	yes	—
352	C₂×#41	C₂³×C₁₃	1	32	yes	complemented
353	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
354	C₂²×D₄	—	2	8	no	—
355	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
356	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
357	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
358	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
359	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
360	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
361	C₂²×D₄	C₂³×C₁₃	1	16	yes	—
362	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
363	C₂³×C₄	C₂³×C₁₃	1	8	yes	—
364	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
365	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
366	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	complemented
367	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
368	#127	C₂³×C₁₃	1	16	yes	—
369	#127	C₂³×C₁₃	1	16	yes	—
370	#127	C₂³×C₁₃	1	4	yes	complemented
371	#126	C₂³×C₁₃	1	64	yes	complemented
372	#125	C₂³×C₁₃	1	16	yes	complemented
373	#125	C₂³×C₁₃	1	8	yes	complemented
374	#124	C₂³×C₁₃	1	16	yes	—
375	#124	C₂³×C₁₃	1	16	yes	—
376	#124	C₂³×C₁₃	1	8	yes	complemented
377	#124	C₂³×C₁₃	1	64	yes	complemented
378	#123	C₂³×C₁₃	1	16	yes	—
379	#123	C₂³×C₁₃	1	64	yes	complemented
380	#123	C₂³×C₁₃	1	64	yes	complemented
381	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
382	C₂²⋊Q₈	C₂³×C₁₃	1	32	yes	—
383	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
384	C₂²⋊Q₈	C₂³×C₁₃	1	32	yes	complemented
385	#121	C₂³×C₁₃	1	32	yes	—
386	#121	C₂³×C₁₃	1	32	yes	—
387	#121	C₂³×C₁₃	1	16	yes	—
388	#121	C₂³×C₁₃	1	16	yes	complemented
389	#121	C₂³×C₁₃	1	32	yes	complemented
390	#121	C₂³×C₁₃	1	64	yes	complemented
391	#120	C₂³×C₁₃	1	32	yes	—
392	#120	C₂³×C₁₃	1	32	yes	—
393	#120	C₂³×C₁₃	1	16	yes	—
394	C₄×Q₈	C₂³×C₁₃	1	16	yes	complemented
395	C₄×Q₈	C₂³×C₁₃	1	16	yes	complemented
396	C₄×Q₈	C₂³×C₁₃	1	16	yes	complemented
397	C₄×D₄	C₂³×C₁₃	1	32	yes	—
398	C₄×D₄	C₂³×C₁₃	1	16	yes	—
399	C₄×D₄	C₂³×C₁₃	1	16	yes	—
400	C₄×D₄	C₂³×C₁₃	1	32	yes	—
401	C₄×D₄	C₂³×C₁₃	1	32	yes	—
402	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
403	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
404	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
405	C₄×D₄	C₂³×C₁₃	1	64	yes	complemented
406	#117	C₂³×C₁₃	1	4	yes	—
407	#117	C₂³×C₁₃	1	4	yes	—
408	#117	C₂³×C₁₃	1	4	yes	—
409	#117	C₂³×C₁₃	1	4	yes	—
410	#117	C₂³×C₁₃	1	4	yes	—
411	#117	C₂³×C₁₃	1	4	yes	—
412	#117	C₂³×C₁₃	1	4	yes	—
413	#117	C₂³×C₁₃	1	4	yes	—
414	#117	C₂³×C₁₃	1	16	yes	—
415	#117	C₂³×C₁₃	1	16	yes	complemented
416	#117	C₂³×C₁₃	1	16	yes	complemented
417	#117	C₂³×C₁₃	1	32	yes	complemented
418	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
419	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
420	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
421	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	complemented
422	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
423	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
424	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
425	C₂×C₂²⋊C₄	C₂³×C₁₃	1	32	yes	—
426	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
427	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
428	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
429	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
430	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
431	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
432	C₂×C₄²	C₂³×C₁₃	1	16	yes	complemented
433	C₂×C₁₃	—	2	2	no	—
434	C₂×C₁₃	—	2	4	no	—
435	C₂×C₁₃	—	4	8	no	—
436	C₂×C₁₃	—	4	8	no	—
437	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
438	C₂×C₁₃	H(7,𝔽₂)	1	2	yes	—
439	C₂⁴	—	2	8	no	—
440	C₂⁴	—	8	4	no	—
441	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
442	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
443	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
444	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
445	#41	—	2	16	no	—
446	#41	—	2	16	no	—
447	#41	—	2	16	no	—
448	#41	—	2	16	no	—
449	#41	—	8	32	no	—
450	C₂×Q₈	—	2	8	no	—
451	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
452	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
453	C₂×Q₈	C₂⁴×C₁₃	1	16	yes	—
454	C₂×D₄	—	2	16	no	—
455	C₂×D₄	—	2	16	no	—
456	C₂×D₄	—	2	16	no	—
457	C₂×D₄	—	2	8	no	—
458	C₂×D₄	—	2	8	no	—
459	C₂×D₄	—	2	8	no	—
460	C₂×D₄	—	8	16	no	—
461	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
462	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
463	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
464	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
465	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
466	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
467	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
468	C₂×D₄	C₂⁴×C₁₃	1	64	yes	—
469	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
470	C₂²×C₄	—	2	16	no	—
471	C₂²×C₄	—	8	8	no	—
472	C₂²×C₄	C₁₃×#41	1	8	yes	complemented
473	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
474	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
475	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
476	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
477	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
478	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
479	C₂²×C₄	C₂⁴×C₁₃	1	32	yes	—
480	C₂²×C₄	C₂⁴×C₁₃	1	32	yes	—
481	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
482	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
483	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
484	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
485	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
486	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
487	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
488	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
489	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
490	C₄⋊C₄	C₂⁴×C₁₃	1	32	yes	—
491	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
492	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
493	C₄⋊C₄	C₂⁴×C₁₃	1	32	yes	—
494	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
495	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
496	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
497	C₂²⋊C₄	C₂⁴×C₁₃	1	32	yes	—
498	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
499	C₂²⋊C₄	C₂⁴×C₁₃	1	32	yes	—
500	C₂²⋊C₄	C₂⁴×C₁₃	1	64	yes	—
501	C₂²⋊C₄	C₂⁴×C₁₃	1	32	yes	—
502	C₄²	C₂⁴×C₁₃	1	8	yes	—
503	C₄²	C₂⁴×C₁₃	1	8	yes	—
504	C₄²	C₂⁴×C₁₃	1	4	yes	—
505	C₄²	C₂⁴×C₁₃	1	4	yes	—
506	C₄²	C₂⁴×C₁₃	1	8	yes	—
507	C₄²	C₂⁴×C₁₃	1	32	yes	—
508	C₁₃	#62855	1	1	yes	characteristic, direct product factor, Sylow
509	C₂³	—	2	8	no	—
510	C₂³	—	2	8	no	—
511	C₂³	—	2	16	no	—
512	C₂³	—	4	8	no	—
513	C₂³	—	4	2	no	—
514	C₂³	—	4	8	no	—
515	C₂³	—	4	16	no	—
516	C₂³	—	8	16	no	—
517	C₂³	C₂×C₁₃×#41	1	4	yes	—
518	C₂³	C₂⁵×C₁₃	1	8	yes	—
519	C₂³	C₂⁵×C₁₃	1	8	yes	—
520	C₂³	C₂⁵×C₁₃	1	2	yes	—
521	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
522	Q₈	—	2	8	no	—
523	Q₈	—	2	8	no	—
524	Q₈	—	4	16	no	—
525	D₄	—	2	16	no	—
526	D₄	—	2	16	no	—
527	D₄	—	2	8	no	—
528	D₄	—	2	16	no	—
529	D₄	—	2	8	no	—
530	D₄	—	2	8	no	—
531	D₄	—	2	8	no	—
532	D₄	—	4	64	no	—
533	D₄	—	4	16	no	—
534	C₂×C₄	—	2	8	no	—
535	C₂×C₄	—	2	16	no	—
536	C₂×C₄	—	2	16	no	—
537	C₂×C₄	—	4	4	no	—
538	C₂×C₄	—	4	4	no	—
539	C₂×C₄	—	4	32	no	—
540	C₂×C₄	—	4	8	no	—
541	C₂×C₄	—	4	32	no	—
542	C₂×C₄	C₂×C₁₃×#41	1	8	yes	—
543	C₂×C₄	C₂×C₁₃×#41	1	8	yes	—
544	C₂×C₄	C₂×C₁₃×#41	1	4	yes	—
545	C₂×C₄	C₂×C₁₃×#41	1	4	yes	—
546	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
547	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
548	C₂×C₄	C₂⁵×C₁₃	1	16	yes	—
549	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
550	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
551	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
552	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
553	C₂²	—	2	2	no	—
554	C₂²	—	2	4	no	—
555	C₂²	—	2	8	no	—
556	C₂²	—	2	8	no	—
557	C₂²	—	2	16	no	—
558	C₂²	—	2	16	no	—
559	C₂²	—	4	4	no	—
560	C₂²	—	4	16	no	—
561	C₂²	—	8	8	no	—
562	C₂²	—	8	16	no	—
563	C₂²	C₂²×C₁₃×#41	1	4	yes	—
564	C₂²	C₂²×C₁₃×#41	1	2	yes	—
565	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
566	C₄	—	2	8	no	—
567	C₄	—	2	8	no	—
568	C₄	—	2	8	no	—
569	C₄	—	2	16	no	—
570	C₄	C₂²×C₁₃×#41	1	2	yes	—
571	C₄	C₂²×C₁₃×#41	1	4	yes	—
572	C₄	C₂²×C₁₃×#41	1	2	yes	—
573	C₂	—	2	2	no	—
574	C₂	—	2	4	no	—
575	C₂	—	4	8	no	—
576	C₂	—	4	8	no	—
577	C₂	C₂³×C₁₃×#41	1	1	yes	characteristic
578	C₂	C₁₃×H(7,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3510	C₂	semidirect
2. C₁₃×#3508	C₂	semidirect
3. C₁₃×#3506	C₂	semidirect
4. C₁₃×#3494	C₂	semidirect
5. C₁₃×#3490	C₂	semidirect
6. C₁₃×#3460	C₂	semidirect
7. C₁₃×#3458	C₂	semidirect
8. C₁₃×#3449	C₂	semidirect
9. C₂×C₁₃×#535	C₂	semidirect
10. C₁₃×#3428	C₂	semidirect
11. C₂×C₁₃×#518	C₂	semidirect
14. C₁₃×#559	C₂²	semidirect
15. C₁₃×#556	C₂²	semidirect
16. C₁₃×#555	C₂²	semidirect
17. C₁₃×#553	C₂²	semidirect
18. C₁₃×#551	C₂²	semidirect
19. C₁₃×#550	C₂²	semidirect
20. C₁₃×#547	C₂²	semidirect
21. C₁₃×#546	C₂²	semidirect
22. C₁₃×#544	C₂²	semidirect
23. C₁₃×#544	C₂²	semidirect
25. C₁₃×#542	C₂²	semidirect
26. C₁₃×#540	C₂²	semidirect
27. C₁₃×#538	C₂²	semidirect
28. C₁₃×#537	C₂²	semidirect
29. C₁₃×#536	C₂²	semidirect
32. C₁₃×#535	C₂²	semidirect
33. C₁₃×#535	C₂²	semidirect
34. C₁₃×#535	C₂²	semidirect
36. C₁₃×#533	C₂²	semidirect
37. C₁₃×#533	C₂²	semidirect
38. C₁₃×#532	C₂²	semidirect
39. C₁₃×#532	C₂²	semidirect
40. C₂×C₁₃×#127	C₂²	semidirect
41. C₁₃×#529	C₂²	semidirect
42. C₂×C₁₃×#124	C₂²	semidirect
43. C₁₃×#525	C₂²	semidirect
44. C₁₃×#525	C₂²	semidirect
45. C₂×C₁₃×#121	C₂²	semidirect
47. C₁₃×#520	C₂²	semidirect
48. C₁₃×#520	C₂²	semidirect
49. C₁₃×#519	C₂²	semidirect
51. C₁₃×#518	C₂²	semidirect
52. C₁₃×#518	C₂²	semidirect
53. C₁₃×#518	C₂²	semidirect
54. C₄×C₁₃×#41	C₂²	semidirect
55. C₄×C₁₃×#41	C₂²	semidirect
56. C₂×C₄×D₄×C₁₃	C₂²	semidirect
57. C₂×C₄×D₄×C₁₃	C₂²	semidirect
61. C₂×C₁₃×#117	C₂²	semidirect
69. C₂×C₁₃×#41	C₂³	semidirect
82. C₁₃×C₄⋊Q₈	C₂³	semidirect
83. C₁₃×C₄⋊Q₈	C₂³	semidirect
84. C₁₃×C₄⋊Q₈	C₂³	semidirect
87. C₁₃×#127	C₂³	semidirect
88. C₁₃×#126	C₂³	semidirect
89. C₁₃×#125	C₂³	semidirect
90. C₁₃×#125	C₂³	semidirect
93. C₁₃×#124	C₂³	semidirect
94. C₁₃×#124	C₂³	semidirect
96. C₁₃×#123	C₂³	semidirect
97. C₁₃×#123	C₂³	semidirect
100. C₁₃×C₂²⋊Q₈	C₂³	semidirect
101. C₁₃×C₂²⋊Q₈	C₂³	semidirect
105. C₁₃×#121	C₂³	semidirect
106. C₁₃×#121	C₂³	semidirect
107. C₁₃×#121	C₂³	semidirect
111. C₄×Q₈×C₁₃	C₂³	semidirect
112. C₄×Q₈×C₁₃	C₂³	semidirect
113. C₄×Q₈×C₁₃	C₂³	semidirect
119. C₄×D₄×C₁₃	C₂³	semidirect
120. C₄×D₄×C₁₃	C₂³	semidirect
121. C₄×D₄×C₁₃	C₂³	semidirect
122. C₄×D₄×C₁₃	C₂³	semidirect
132. C₁₃×#117	C₂³	semidirect
133. C₁₃×#117	C₂³	semidirect
134. C₁₃×#117	C₂³	semidirect
138. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
149. C₂×C₄²×C₁₃	C₂³	semidirect
150. #62855	C₁₃	direct (N × H)
184. C₂²×C₄×C₁₃	#41	semidirect
220. #3510	C₂×C₁₃	semidirect
221. #3508	C₂×C₁₃	semidirect
222. #3506	C₂×C₁₃	semidirect
223. #3494	C₂×C₁₃	semidirect
224. #3490	C₂×C₁₃	semidirect
225. #3460	C₂×C₁₃	semidirect
226. #3458	C₂×C₁₃	semidirect
227. #3449	C₂×C₁₃	semidirect
228. C₂×#535	C₂×C₁₃	semidirect
229. #3428	C₂×C₁₃	semidirect
230. C₂×#518	C₂×C₁₃	semidirect
277. #559	C₂²×C₁₃	semidirect
278. #556	C₂²×C₁₃	semidirect
279. #555	C₂²×C₁₃	semidirect
280. #553	C₂²×C₁₃	semidirect
281. #551	C₂²×C₁₃	semidirect
282. #550	C₂²×C₁₃	semidirect
283. #547	C₂²×C₁₃	semidirect
284. #546	C₂²×C₁₃	semidirect
285. #544	C₂²×C₁₃	semidirect
286. #544	C₂²×C₁₃	semidirect
288. #542	C₂²×C₁₃	semidirect
289. #540	C₂²×C₁₃	semidirect
290. #538	C₂²×C₁₃	semidirect
291. #537	C₂²×C₁₃	semidirect
292. #536	C₂²×C₁₃	semidirect
295. #535	C₂²×C₁₃	semidirect
296. #535	C₂²×C₁₃	semidirect
297. #535	C₂²×C₁₃	semidirect
299. #533	C₂²×C₁₃	semidirect
300. #533	C₂²×C₁₃	semidirect
301. #532	C₂²×C₁₃	semidirect
302. #532	C₂²×C₁₃	semidirect
303. C₂×#127	C₂²×C₁₃	semidirect
304. #529	C₂²×C₁₃	semidirect
305. C₂×#124	C₂²×C₁₃	semidirect
306. #525	C₂²×C₁₃	semidirect
307. #525	C₂²×C₁₃	semidirect
308. C₂×#121	C₂²×C₁₃	semidirect
310. #520	C₂²×C₁₃	semidirect
311. #520	C₂²×C₁₃	semidirect
312. #519	C₂²×C₁₃	semidirect
314. #518	C₂²×C₁₃	semidirect
315. #518	C₂²×C₁₃	semidirect
316. #518	C₂²×C₁₃	semidirect
317. C₄×#41	C₂²×C₁₃	semidirect
318. C₄×#41	C₂²×C₁₃	semidirect
319. C₂×C₄×D₄	C₂²×C₁₃	semidirect
320. C₂×C₄×D₄	C₂²×C₁₃	semidirect
324. C₂×#117	C₂²×C₁₃	semidirect
352. C₂×#41	C₂³×C₁₃	semidirect
365. C₄⋊Q₈	C₂³×C₁₃	semidirect
366. C₄⋊Q₈	C₂³×C₁₃	semidirect
367. C₄⋊Q₈	C₂³×C₁₃	semidirect
370. #127	C₂³×C₁₃	semidirect
371. #126	C₂³×C₁₃	semidirect
372. #125	C₂³×C₁₃	semidirect
373. #125	C₂³×C₁₃	semidirect
376. #124	C₂³×C₁₃	semidirect
377. #124	C₂³×C₁₃	semidirect
379. #123	C₂³×C₁₃	semidirect
380. #123	C₂³×C₁₃	semidirect
383. C₂²⋊Q₈	C₂³×C₁₃	semidirect
384. C₂²⋊Q₈	C₂³×C₁₃	semidirect
388. #121	C₂³×C₁₃	semidirect
389. #121	C₂³×C₁₃	semidirect
390. #121	C₂³×C₁₃	semidirect
394. C₄×Q₈	C₂³×C₁₃	semidirect
395. C₄×Q₈	C₂³×C₁₃	semidirect
396. C₄×Q₈	C₂³×C₁₃	semidirect
402. C₄×D₄	C₂³×C₁₃	semidirect
403. C₄×D₄	C₂³×C₁₃	semidirect
404. C₄×D₄	C₂³×C₁₃	semidirect
405. C₄×D₄	C₂³×C₁₃	semidirect
415. #117	C₂³×C₁₃	semidirect
416. #117	C₂³×C₁₃	semidirect
417. #117	C₂³×C₁₃	semidirect
421. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
432. C₂×C₄²	C₂³×C₁₃	semidirect
472. C₂²×C₄	C₁₃×#41	semidirect
508. C₁₃	#62855	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×#3510	2
C₁₃×#3508	2
C₁₃×#3506	2
C₁₃×#3494	2
C₁₃×#3490	2
C₁₃×#3460	2
C₁₃×#3458	2
C₁₃×#3449	2
C₂×C₁₃×#535	2
C₁₃×#3428	2
C₂×C₁₃×#518	2
#62855	13

Subgroups — C13×#62855 #15749194

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62855 #15749194