Subgroups — C₁₃×#61477 #15747816

Order 3328.

1772 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3515	C₂	1	2	yes	maximal, complemented
2	C₁₃×#3395	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3380	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3372	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3338	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3336	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3331	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3315	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3283	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3283	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3177	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3170	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3120	C₂	1	4	yes	maximal, complemented
14	C₁₃×#3116	C₂	1	2	yes	maximal, complemented
15	C₁₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2951	C₂	1	2	yes	maximal, complemented
17	C₄×C₁₃×#135	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×#135	C₂²	1	2	yes	—
20	C₁₃×#557	C₂²	1	2	yes	—
21	C₁₃×#554	C₂²	1	2	yes	—
22	C₁₃×#554	C₂²	1	2	yes	—
23	C₁₃×#553	—	2	2	no	—
24	C₁₃×#552	—	2	4	no	—
25	C₁₃×#552	—	2	2	no	—
26	C₁₃×#552	C₂²	1	4	yes	—
27	C₁₃×#547	C₂²	1	4	yes	—
28	C₁₃×#547	C₂²	1	2	yes	—
29	C₁₃×#541	C₂²	1	4	yes	—
30	C₁₃×#539	—	2	4	no	—
31	C₁₃×#533	C₂²	1	2	yes	—
32	C₁₃×#529	—	2	2	no	—
33	C₁₃×#529	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#125	—	2	2	no	—
35	C₁₃×#520	C₂²	1	4	yes	—
36	C₄×C₁₃×#41	C₂²	1	2	yes	—
37	C₁₃×#500	C₂²	1	1	yes	characteristic
38	C₁₃×#499	C₂²	1	2	yes	—
39	C₁₃×#494	C₂²	1	1	yes	characteristic
40	C₁₃×#494	C₂²	1	2	yes	—
41	C₁₃×#491	C₂²	1	4	yes	—
42	C₁₃×#487	C₂²	1	2	yes	—
43	C₁₃×#485	C₂²	1	4	yes	—
44	C₁₃×#484	C₂²	1	4	yes	—
45	C₁₃×#483	C₂²	1	4	yes	—
46	C₁₃×#479	C₂²	1	4	yes	—
47	C₁₃×#478	C₂²	1	4	yes	—
48	C₁₃×#477	C₂²	1	2	yes	—
49	C₁₃×#476	C₂²	1	2	yes	—
50	C₁₃×#470	C₂²	1	4	yes	—
51	C₁₃×#467	C₂²	1	2	yes	—
52	C₁₃×#467	C₂²	1	2	yes	—
53	C₁₃×#467	C₂²	1	2	yes	—
54	C₁₃×#467	C₂²	1	2	yes	—
55	C₁₃×#462	C₂²	1	4	yes	—
56	C₁₃×#462	C₂²	1	2	yes	—
57	C₁₃×#461	C₂²	1	2	yes	—
58	C₁₃×#461	C₂²	1	4	yes	—
59	C₁₃×#452	C₂²	1	4	yes	—
60	C₁₃×#452	C₂²	1	4	yes	—
61	C₁₃×#452	C₂²	1	4	yes	—
62	C₁₃×#446	C₂²	1	1	yes	characteristic
63	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
64	C₁₃×#441	C₂²	1	4	yes	—
65	C₁₃×#440	C₂²	1	4	yes	—
66	C₁₃×#440	C₂²	1	4	yes	—
67	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
68	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
69	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
70	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
71	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
72	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
73	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
74	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
75	C₄×C₁₃×D₈	C₂²	1	2	yes	—
76	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
77	C₁₃×#436	C₂²	1	1	yes	characteristic
78	C₁₃×#435	C₂²	1	2	yes	—
79	C₈×D₄×C₁₃	C₂²	1	2	yes	—
80	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
81	C₁₃×#433	C₂²	1	2	yes	—
82	C₁₃×#432	C₂²	1	1	yes	characteristic
83	C₁₃×#427	C₂²	1	1	yes	characteristic
84	C₂×C₁₃×#107	C₂²	1	2	yes	—
85	C₁₃×#417	C₂²	1	4	yes	—
86	C₁₃×#416	C₂²	1	2	yes	—
87	C₁₃×#405	C₂²	1	2	yes	—
88	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
89	C₂×C₁₃×#41	C₂³	1	2	yes	—
90	C₂×C₁₃×#41	C₂³	1	4	yes	—
91	C₁₃×#135	—	2	4	no	—
92	C₁₃×#135	—	2	8	no	—
93	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
94	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
95	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
96	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
97	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
98	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
99	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
100	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
101	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
102	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
103	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
104	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
105	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
106	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
107	C₁₃×#126	—	2	4	no	—
108	C₁₃×#126	—	2	4	no	—
109	C₁₃×#126	—	2	4	no	—
110	C₁₃×#126	D₄	1	2	yes	—
111	C₁₃×#125	—	2	4	no	—
112	C₁₃×#125	—	2	4	no	—
113	C₁₃×#125	—	2	2	no	—
114	C₁₃×#125	—	2	2	no	—
115	C₁₃×#125	—	2	4	no	—
116	C₁₃×#125	—	2	4	no	—
117	C₁₃×#125	—	2	2	no	—
118	C₁₃×#125	D₄	1	1	yes	characteristic
119	C₁₃×#125	C₂³	1	4	yes	—
120	C₁₃×#124	D₄	1	1	yes	characteristic
121	C₁₃×#123	—	2	4	no	—
122	C₁₃×#123	—	2	4	no	—
123	C₁₃×#123	—	2	4	no	—
124	C₁₃×#123	—	2	4	no	—
125	C₁₃×#123	D₄	1	2	yes	—
126	C₁₃×C₂²⋊Q₈	—	2	2	no	—
127	C₁₃×C₂²⋊Q₈	—	2	2	no	—
128	C₁₃×C₂²⋊Q₈	—	2	4	no	—
129	C₁₃×C₂²⋊Q₈	—	2	4	no	—
130	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
131	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
132	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
133	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
134	C₁₃×#121	—	2	2	no	—
135	C₁₃×#121	—	2	4	no	—
136	C₁₃×#121	D₄	1	1	yes	characteristic
137	C₄×Q₈×C₁₃	—	2	2	no	—
138	C₄×Q₈×C₁₃	—	2	2	no	—
139	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
140	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
141	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
142	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
143	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
144	C₄×D₄×C₁₃	—	2	2	no	—
145	C₄×D₄×C₁₃	—	2	2	no	—
146	C₄×D₄×C₁₃	—	2	2	no	—
147	C₄×D₄×C₁₃	—	2	4	no	—
148	C₄×D₄×C₁₃	—	2	4	no	—
149	C₄×D₄×C₁₃	C₂³	1	2	yes	—
150	C₄×D₄×C₁₃	C₂³	1	2	yes	—
151	C₄×D₄×C₁₃	C₂³	1	4	yes	—
152	C₄×D₄×C₁₃	C₂³	1	2	yes	—
153	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₁₃×#117	—	2	2	no	—
155	C₁₃×#117	—	2	4	no	—
156	C₁₃×#117	—	2	4	no	—
157	C₁₃×#117	—	2	2	no	—
158	C₁₃×#117	C₂³	1	2	yes	—
159	C₁₃×#117	C₂³	1	2	yes	—
160	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
161	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
162	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
163	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
164	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
165	C₂×C₄²×C₁₃	—	2	2	no	—
166	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
167	C₁₃×#107	C₂³	1	1	yes	characteristic
168	C₁₃×#107	C₂³	1	2	yes	—
169	C₁₃×#107	C₂³	1	4	yes	—
170	C₁₃×#107	C₂³	1	1	yes	characteristic
171	C₁₃×#107	C₂³	1	2	yes	—
172	C₁₃×#106	C₂³	1	2	yes	—
173	C₁₃×#106	C₂³	1	4	yes	—
174	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
175	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
176	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
177	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
178	C₁₃×#103	C₂³	1	2	yes	—
179	C₁₃×#103	C₂³	1	2	yes	—
180	C₁₃×#103	C₂³	1	4	yes	—
181	C₁₃×#103	C₂³	1	4	yes	—
182	C₁₃×#103	C₂³	1	4	yes	—
183	C₁₃×#103	C₂³	1	4	yes	—
184	C₁₃×#103	C₂³	1	4	yes	—
185	C₁₃×#102	C₂³	1	2	yes	—
186	C₁₃×#102	C₂³	1	2	yes	—
187	C₁₃×#102	C₂³	1	4	yes	—
188	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
189	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
190	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
191	C₁₃×#97	C₂³	1	2	yes	—
192	C₁₃×#97	C₂³	1	2	yes	—
193	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
194	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
195	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
196	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
197	C₄×C₈×C₁₃	C₂³	1	2	yes	—
198	#61477	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
199	C₁₃×#41	—	2	4	no	—
200	C₁₃×#41	—	2	8	no	—
201	C₁₃×#41	—	4	2	no	—
202	C₁₃×#41	—	4	4	no	—
203	C₂×Q₈×C₁₃	—	2	2	no	—
204	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
205	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
206	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
207	C₂×D₄×C₁₃	—	2	2	no	—
208	C₂×D₄×C₁₃	—	2	4	no	—
209	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
210	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
211	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
212	C₂²×C₄×C₁₃	—	2	4	no	—
213	C₂²×C₄×C₁₃	—	2	2	no	—
214	C₂²×C₄×C₁₃	—	2	2	no	—
215	C₂²×C₄×C₁₃	—	2	4	no	—
216	C₂²×C₄×C₁₃	—	2	2	no	—
217	C₂²×C₄×C₁₃	—	2	4	no	—
218	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
219	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
220	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
221	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
222	C₁₃×Q₁₆	—	2	4	no	—
223	C₁₃×Q₁₆	—	2	2	no	—
224	C₁₃×Q₁₆	—	4	2	no	—
225	C₁₃×Q₁₆	—	4	4	no	—
226	C₁₃×SD₁₆	—	2	4	no	—
227	C₁₃×SD₁₆	—	2	8	no	—
228	C₁₃×D₈	#41	1	4	yes	—
229	C₁₃×M₁₆	—	4	2	no	—
230	C₂×C₈×C₁₃	—	2	2	no	—
231	C₂×C₈×C₁₃	—	2	4	no	—
232	C₂×C₈×C₁₃	—	4	1	no	—
233	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
234	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
235	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
236	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
237	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
238	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
239	C₁₃×C₄⋊C₄	—	2	4	no	—
240	C₁₃×C₄⋊C₄	—	2	2	no	—
241	C₁₃×C₄⋊C₄	—	2	2	no	—
242	C₁₃×C₄⋊C₄	—	2	4	no	—
243	C₁₃×C₄⋊C₄	—	2	4	no	—
244	C₁₃×C₄⋊C₄	—	2	4	no	—
245	C₁₃×C₄⋊C₄	—	2	4	no	—
246	C₁₃×C₄⋊C₄	—	2	4	no	—
247	C₁₃×C₄⋊C₄	—	2	4	no	—
248	C₁₃×C₄⋊C₄	—	2	4	no	—
249	C₁₃×C₄⋊C₄	—	2	2	no	—
250	C₁₃×C₄⋊C₄	—	2	2	no	—
251	C₁₃×C₄⋊C₄	—	2	4	no	—
252	C₁₃×C₄⋊C₄	—	2	2	no	—
253	C₁₃×C₄⋊C₄	—	2	4	no	—
254	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
255	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
256	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
257	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
258	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
259	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
260	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
261	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
262	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
263	C₁₃×C₂²⋊C₄	—	2	4	no	—
264	C₁₃×C₂²⋊C₄	—	2	4	no	—
265	C₁₃×C₂²⋊C₄	—	2	2	no	—
266	C₁₃×C₂²⋊C₄	—	2	4	no	—
267	C₁₃×C₂²⋊C₄	—	2	2	no	—
268	C₁₃×C₂²⋊C₄	—	2	2	no	—
269	C₁₃×C₂²⋊C₄	—	2	4	no	—
270	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
271	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
272	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
273	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
274	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
275	C₄²×C₁₃	—	2	2	no	—
276	C₄²×C₁₃	—	2	2	no	—
277	C₄²×C₁₃	—	2	2	no	—
278	C₄²×C₁₃	—	2	4	no	—
279	C₄²×C₁₃	—	2	4	no	—
280	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
281	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
282	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
283	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
284	C₄²×C₁₃	C₂⁴	1	2	yes	—
285	#3515	C₂×C₁₃	1	2	yes	complemented
286	#3395	C₂×C₁₃	1	1	yes	characteristic, complemented
287	#3380	C₂×C₁₃	1	1	yes	characteristic, complemented
288	#3372	C₂×C₁₃	1	2	yes	complemented
289	#3338	C₂×C₁₃	1	1	yes	characteristic, complemented
290	#3336	C₂×C₁₃	1	2	yes	complemented
291	#3331	C₂×C₁₃	1	2	yes	complemented
292	#3315	C₂×C₁₃	1	4	yes	complemented
293	#3283	C₂×C₁₃	1	1	yes	characteristic, complemented
294	#3283	C₂×C₁₃	1	2	yes	complemented
295	#3177	C₂×C₁₃	1	2	yes	complemented
296	#3170	C₂×C₁₃	1	1	yes	characteristic, complemented
297	#3120	C₂×C₁₃	1	4	yes	complemented
298	#3116	C₂×C₁₃	1	2	yes	complemented
299	#2966	C₂×C₁₃	1	1	yes	characteristic, complemented
300	#2951	C₂×C₁₃	1	2	yes	complemented
301	C₄×#135	C₂×C₁₃	1	1	yes	characteristic, complemented
302	C₂³×C₁₃	—	2	2	no	—
303	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
304	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
305	Q₈×C₁₃	—	2	2	no	—
306	Q₈×C₁₃	—	2	2	no	—
307	Q₈×C₁₃	—	2	4	no	—
308	Q₈×C₁₃	—	2	4	no	—
309	Q₈×C₁₃	—	2	2	no	—
310	Q₈×C₁₃	—	8	2	no	—
311	D₄×C₁₃	—	2	2	no	—
312	D₄×C₁₃	—	2	2	no	—
313	D₄×C₁₃	—	4	2	no	—
314	D₄×C₁₃	—	4	4	no	—
315	D₄×C₁₃	—	4	8	no	—
316	D₄×C₁₃	C₂×#41	1	4	yes	—
317	C₂×C₄×C₁₃	—	2	2	no	—
318	C₂×C₄×C₁₃	—	2	1	no	—
319	C₂×C₄×C₁₃	—	2	2	no	—
320	C₂×C₄×C₁₃	—	2	1	no	—
321	C₂×C₄×C₁₃	—	2	2	no	—
322	C₂×C₄×C₁₃	—	2	2	no	—
323	C₂×C₄×C₁₃	—	2	2	no	—
324	C₂×C₄×C₁₃	—	2	2	no	—
325	C₂×C₄×C₁₃	—	2	4	no	—
326	C₂×C₄×C₁₃	—	2	4	no	—
327	C₂×C₄×C₁₃	—	4	1	no	—
328	C₂×C₄×C₁₃	—	4	4	no	—
329	C₂×C₄×C₁₃	—	4	8	no	—
330	C₂×C₄×C₁₃	—	4	4	no	—
331	C₂×C₄×C₁₃	—	8	2	no	—
332	C₂×C₄×C₁₃	—	8	4	no	—
333	C₂×C₄×C₁₃	—	8	4	no	—
334	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
335	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
336	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
337	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
338	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
339	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
340	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
341	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
342	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
343	C₈×C₁₃	—	2	1	no	—
344	C₈×C₁₃	—	2	2	no	—
345	C₈×C₁₃	—	2	1	no	—
346	C₈×C₁₃	—	2	1	no	—
347	C₈×C₁₃	—	2	2	no	—
348	C₈×C₁₃	C₂×#41	1	2	yes	—
349	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
350	C₂×#135	C₂²×C₁₃	1	2	yes	—
351	#557	C₂²×C₁₃	1	2	yes	—
352	#554	C₂²×C₁₃	1	2	yes	—
353	#554	C₂²×C₁₃	1	2	yes	—
354	#553	—	2	2	no	—
355	#552	—	2	4	no	—
356	#552	—	2	2	no	—
357	#552	C₂²×C₁₃	1	4	yes	—
358	#547	C₂²×C₁₃	1	2	yes	—
359	#547	C₂²×C₁₃	1	4	yes	—
360	#541	C₂²×C₁₃	1	4	yes	—
361	#539	—	2	4	no	—
362	#533	C₂²×C₁₃	1	2	yes	—
363	#529	—	2	2	no	—
364	#529	C₂²×C₁₃	1	1	yes	characteristic
365	C₂×#125	—	2	2	no	—
366	#520	C₂²×C₁₃	1	4	yes	—
367	C₄×#41	C₂²×C₁₃	1	2	yes	—
368	#500	C₂²×C₁₃	1	1	yes	characteristic
369	#499	C₂²×C₁₃	1	2	yes	—
370	#494	C₂²×C₁₃	1	1	yes	characteristic
371	#494	C₂²×C₁₃	1	2	yes	—
372	#491	C₂²×C₁₃	1	4	yes	—
373	#487	C₂²×C₁₃	1	2	yes	—
374	#485	C₂²×C₁₃	1	4	yes	—
375	#484	C₂²×C₁₃	1	4	yes	—
376	#483	C₂²×C₁₃	1	4	yes	—
377	#479	C₂²×C₁₃	1	4	yes	—
378	#478	C₂²×C₁₃	1	4	yes	—
379	#477	C₂²×C₁₃	1	2	yes	—
380	#476	C₂²×C₁₃	1	2	yes	—
381	#470	C₂²×C₁₃	1	4	yes	—
382	#467	C₂²×C₁₃	1	2	yes	—
383	#467	C₂²×C₁₃	1	2	yes	—
384	#467	C₂²×C₁₃	1	2	yes	—
385	#467	C₂²×C₁₃	1	2	yes	—
386	#462	C₂²×C₁₃	1	2	yes	—
387	#462	C₂²×C₁₃	1	4	yes	—
388	#461	C₂²×C₁₃	1	2	yes	—
389	#461	C₂²×C₁₃	1	4	yes	—
390	#452	C₂²×C₁₃	1	4	yes	—
391	#452	C₂²×C₁₃	1	4	yes	—
392	#452	C₂²×C₁₃	1	4	yes	—
393	#446	C₂²×C₁₃	1	1	yes	characteristic
394	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
395	#441	C₂²×C₁₃	1	4	yes	—
396	#440	C₂²×C₁₃	1	4	yes	—
397	#440	C₂²×C₁₃	1	4	yes	—
398	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
399	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
400	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
401	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
402	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
403	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
404	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
405	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
406	C₄×D₈	C₂²×C₁₃	1	2	yes	—
407	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
408	#436	C₂²×C₁₃	1	1	yes	characteristic
409	#435	C₂²×C₁₃	1	2	yes	—
410	C₈×D₄	C₂²×C₁₃	1	2	yes	—
411	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
412	#433	C₂²×C₁₃	1	2	yes	—
413	#432	C₂²×C₁₃	1	1	yes	characteristic
414	#427	C₂²×C₁₃	1	1	yes	characteristic
415	C₂×#107	C₂²×C₁₃	1	2	yes	—
416	#417	C₂²×C₁₃	1	4	yes	—
417	#416	C₂²×C₁₃	1	2	yes	—
418	#405	C₂²×C₁₃	1	2	yes	—
419	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
420	C₂²×C₁₃	—	2	1	no	—
421	C₂²×C₁₃	—	2	2	no	—
422	C₂²×C₁₃	—	2	1	no	—
423	C₂²×C₁₃	—	2	2	no	—
424	C₂²×C₁₃	—	2	4	no	—
425	C₂²×C₁₃	—	2	1	no	—
426	C₂²×C₁₃	—	2	2	no	—
427	C₂²×C₁₃	—	4	2	no	—
428	C₂²×C₁₃	—	4	2	no	—
429	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
430	C₄×C₁₃	—	2	1	no	—
431	C₄×C₁₃	—	2	1	no	—
432	C₄×C₁₃	—	2	2	no	—
433	C₄×C₁₃	—	2	1	no	—
434	C₄×C₁₃	—	2	2	no	—
435	C₄×C₁₃	—	2	1	no	—
436	C₄×C₁₃	—	2	2	no	—
437	C₄×C₁₃	—	4	2	no	—
438	C₄×C₁₃	—	4	4	no	—
439	C₄×C₁₃	—	4	2	no	—
440	C₄×C₁₃	—	4	4	no	—
441	C₄×C₁₃	—	4	2	no	—
442	C₄×C₁₃	#578	1	2	yes	—
443	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
444	C₄×C₁₃	#585	1	1	yes	characteristic
445	C₂×#41	C₂³×C₁₃	1	2	yes	—
446	C₂×#41	C₂³×C₁₃	1	4	yes	—
447	#135	—	2	4	no	—
448	#135	—	2	8	no	—
449	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
450	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
451	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
452	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
453	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
454	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
455	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
456	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
457	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
458	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
459	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
460	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
461	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
462	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
463	#126	—	2	4	no	—
464	#126	—	2	4	no	—
465	#126	—	2	4	no	—
466	#126	D₄×C₁₃	1	2	yes	—
467	#125	—	2	4	no	—
468	#125	—	2	4	no	—
469	#125	—	2	2	no	—
470	#125	—	2	2	no	—
471	#125	—	2	4	no	—
472	#125	—	2	4	no	—
473	#125	—	2	2	no	—
474	#125	D₄×C₁₃	1	1	yes	characteristic
475	#125	C₂³×C₁₃	1	4	yes	—
476	#124	D₄×C₁₃	1	1	yes	characteristic
477	#123	—	2	4	no	—
478	#123	—	2	4	no	—
479	#123	—	2	4	no	—
480	#123	—	2	4	no	—
481	#123	D₄×C₁₃	1	2	yes	—
482	C₂²⋊Q₈	—	2	2	no	—
483	C₂²⋊Q₈	—	2	2	no	—
484	C₂²⋊Q₈	—	2	4	no	—
485	C₂²⋊Q₈	—	2	4	no	—
486	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
487	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
488	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
489	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
490	#121	—	2	2	no	—
491	#121	—	2	4	no	—
492	#121	D₄×C₁₃	1	1	yes	characteristic
493	C₄×Q₈	—	2	2	no	—
494	C₄×Q₈	—	2	2	no	—
495	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
496	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
497	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
498	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
499	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
500	C₄×D₄	—	2	2	no	—
501	C₄×D₄	—	2	2	no	—
502	C₄×D₄	—	2	2	no	—
503	C₄×D₄	—	2	4	no	—
504	C₄×D₄	—	2	4	no	—
505	C₄×D₄	C₂³×C₁₃	1	2	yes	—
506	C₄×D₄	C₂³×C₁₃	1	2	yes	—
507	C₄×D₄	C₂³×C₁₃	1	4	yes	—
508	C₄×D₄	C₂³×C₁₃	1	2	yes	—
509	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
510	#117	—	2	2	no	—
511	#117	—	2	4	no	—
512	#117	—	2	4	no	—
513	#117	—	2	2	no	—
514	#117	C₂³×C₁₃	1	2	yes	—
515	#117	C₂³×C₁₃	1	2	yes	—
516	C₂×C₄⋊C₄	—	2	4	no	—
517	C₂×C₄⋊C₄	—	2	2	no	—
518	C₂×C₄⋊C₄	—	2	4	no	—
519	C₂×C₄⋊C₄	—	2	2	no	—
520	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
521	C₂×C₄²	—	2	2	no	—
522	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
523	#107	C₂³×C₁₃	1	1	yes	characteristic
524	#107	C₂³×C₁₃	1	2	yes	—
525	#107	C₂³×C₁₃	1	4	yes	—
526	#107	C₂³×C₁₃	1	1	yes	characteristic
527	#107	C₂³×C₁₃	1	2	yes	—
528	#106	C₂³×C₁₃	1	2	yes	—
529	#106	C₂³×C₁₃	1	4	yes	—
530	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
531	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
532	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
533	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
534	#103	C₂³×C₁₃	1	2	yes	—
535	#103	C₂³×C₁₃	1	2	yes	—
536	#103	C₂³×C₁₃	1	4	yes	—
537	#103	C₂³×C₁₃	1	4	yes	—
538	#103	C₂³×C₁₃	1	4	yes	—
539	#103	C₂³×C₁₃	1	4	yes	—
540	#103	C₂³×C₁₃	1	4	yes	—
541	#102	C₂³×C₁₃	1	2	yes	—
542	#102	C₂³×C₁₃	1	2	yes	—
543	#102	C₂³×C₁₃	1	4	yes	—
544	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
545	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
546	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
547	#97	C₂³×C₁₃	1	2	yes	—
548	#97	C₂³×C₁₃	1	2	yes	—
549	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
550	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
551	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
552	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
553	C₄×C₈	C₂³×C₁₃	1	2	yes	—
554	C₂×C₁₃	—	4	1	no	—
555	C₂×C₁₃	—	4	2	no	—
556	C₂×C₁₃	—	4	4	no	—
557	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
558	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
559	C₂×C₁₃	#3584	1	1	yes	characteristic
560	#41	—	2	4	no	—
561	#41	—	2	8	no	—
562	#41	—	4	2	no	—
563	#41	—	4	4	no	—
564	C₂×Q₈	—	2	2	no	—
565	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
566	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
567	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
568	C₂×D₄	—	2	2	no	—
569	C₂×D₄	—	2	4	no	—
570	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
571	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
572	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
573	C₂²×C₄	—	2	4	no	—
574	C₂²×C₄	—	2	2	no	—
575	C₂²×C₄	—	2	2	no	—
576	C₂²×C₄	—	2	4	no	—
577	C₂²×C₄	—	2	2	no	—
578	C₂²×C₄	—	2	4	no	—
579	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
580	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
581	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
582	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
583	Q₁₆	—	2	2	no	—
584	Q₁₆	—	2	4	no	—
585	Q₁₆	—	4	2	no	—
586	Q₁₆	—	4	4	no	—
587	SD₁₆	—	2	4	no	—
588	SD₁₆	—	2	8	no	—
589	D₈	C₁₃×#41	1	4	yes	—
590	M₁₆	—	4	2	no	—
591	C₂×C₈	—	2	2	no	—
592	C₂×C₈	—	2	4	no	—
593	C₂×C₈	—	4	1	no	—
594	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
595	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
596	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
597	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
598	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
599	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
600	C₄⋊C₄	—	2	4	no	—
601	C₄⋊C₄	—	2	2	no	—
602	C₄⋊C₄	—	2	2	no	—
603	C₄⋊C₄	—	2	4	no	—
604	C₄⋊C₄	—	2	4	no	—
605	C₄⋊C₄	—	2	4	no	—
606	C₄⋊C₄	—	2	4	no	—
607	C₄⋊C₄	—	2	4	no	—
608	C₄⋊C₄	—	2	4	no	—
609	C₄⋊C₄	—	2	4	no	—
610	C₄⋊C₄	—	2	2	no	—
611	C₄⋊C₄	—	2	2	no	—
612	C₄⋊C₄	—	2	4	no	—
613	C₄⋊C₄	—	2	2	no	—
614	C₄⋊C₄	—	2	4	no	—
615	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
616	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
617	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
618	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
619	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
620	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
621	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
622	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
623	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
624	C₂²⋊C₄	—	2	4	no	—
625	C₂²⋊C₄	—	2	4	no	—
626	C₂²⋊C₄	—	2	2	no	—
627	C₂²⋊C₄	—	2	4	no	—
628	C₂²⋊C₄	—	2	2	no	—
629	C₂²⋊C₄	—	2	2	no	—
630	C₂²⋊C₄	—	2	4	no	—
631	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
632	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
633	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
634	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
635	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
636	C₄²	—	2	2	no	—
637	C₄²	—	2	2	no	—
638	C₄²	—	2	2	no	—
639	C₄²	—	2	4	no	—
640	C₄²	—	2	4	no	—
641	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
642	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
643	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
644	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
645	C₄²	C₂⁴×C₁₃	1	2	yes	—
646	C₁₃	#61477	1	1	yes	characteristic, direct product factor, Sylow
647	C₂³	—	2	2	no	—
648	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
649	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
650	Q₈	—	2	2	no	—
651	Q₈	—	2	2	no	—
652	Q₈	—	2	4	no	—
653	Q₈	—	2	4	no	—
654	Q₈	—	2	2	no	—
655	Q₈	—	8	2	no	—
656	D₄	—	2	2	no	—
657	D₄	—	2	2	no	—
658	D₄	—	4	2	no	—
659	D₄	—	4	4	no	—
660	D₄	—	4	8	no	—
661	D₄	C₂×C₁₃×#41	1	4	yes	—
662	C₂×C₄	—	2	2	no	—
663	C₂×C₄	—	2	1	no	—
664	C₂×C₄	—	2	2	no	—
665	C₂×C₄	—	2	1	no	—
666	C₂×C₄	—	2	2	no	—
667	C₂×C₄	—	2	2	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	2	no	—
670	C₂×C₄	—	2	4	no	—
671	C₂×C₄	—	2	4	no	—
672	C₂×C₄	—	4	1	no	—
673	C₂×C₄	—	4	4	no	—
674	C₂×C₄	—	4	8	no	—
675	C₂×C₄	—	4	4	no	—
676	C₂×C₄	—	8	2	no	—
677	C₂×C₄	—	8	4	no	—
678	C₂×C₄	—	8	4	no	—
679	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
680	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
681	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
682	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
683	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
684	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
685	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
686	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
687	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
688	C₈	—	2	1	no	—
689	C₈	—	2	2	no	—
690	C₈	—	2	1	no	—
691	C₈	—	2	1	no	—
692	C₈	—	2	2	no	—
693	C₈	C₂×C₁₃×#41	1	2	yes	—
694	C₂²	—	2	1	no	—
695	C₂²	—	2	2	no	—
696	C₂²	—	2	1	no	—
697	C₂²	—	2	2	no	—
698	C₂²	—	2	1	no	—
699	C₂²	—	2	2	no	—
700	C₂²	—	2	4	no	—
701	C₂²	—	4	2	no	—
702	C₂²	—	4	2	no	—
703	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
704	C₄	—	2	1	no	—
705	C₄	—	2	2	no	—
706	C₄	—	2	1	no	—
707	C₄	—	2	1	no	—
708	C₄	—	2	2	no	—
709	C₄	—	2	1	no	—
710	C₄	—	2	2	no	—
711	C₄	—	4	2	no	—
712	C₄	—	4	2	no	—
713	C₄	—	4	4	no	—
714	C₄	—	4	2	no	—
715	C₄	—	4	4	no	—
716	C₄	C₁₃×#578	1	2	yes	—
717	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
718	C₄	C₁₃×#585	1	1	yes	characteristic
719	C₂	—	4	1	no	—
720	C₂	—	4	2	no	—
721	C₂	—	4	4	no	—
722	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
723	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
724	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×#3515	C₂	semidirect
2. C₁₃×#3395	C₂	semidirect
3. C₁₃×#3380	C₂	semidirect
4. C₁₃×#3372	C₂	semidirect
5. C₁₃×#3338	C₂	semidirect
6. C₁₃×#3336	C₂	semidirect
7. C₁₃×#3331	C₂	semidirect
8. C₁₃×#3315	C₂	semidirect
9. C₁₃×#3283	C₂	semidirect
10. C₁₃×#3283	C₂	semidirect
11. C₁₃×#3177	C₂	semidirect
12. C₁₃×#3170	C₂	semidirect
13. C₁₃×#3120	C₂	semidirect
14. C₁₃×#3116	C₂	semidirect
15. C₁₃×#2966	C₂	semidirect
16. C₁₃×#2951	C₂	semidirect
17. C₄×C₁₃×#135	C₂	semidirect
198. #61477	C₁₃	direct (N × H)
285. #3515	C₂×C₁₃	semidirect
286. #3395	C₂×C₁₃	semidirect
287. #3380	C₂×C₁₃	semidirect
288. #3372	C₂×C₁₃	semidirect
289. #3338	C₂×C₁₃	semidirect
290. #3336	C₂×C₁₃	semidirect
291. #3331	C₂×C₁₃	semidirect
292. #3315	C₂×C₁₃	semidirect
293. #3283	C₂×C₁₃	semidirect
294. #3283	C₂×C₁₃	semidirect
295. #3177	C₂×C₁₃	semidirect
296. #3170	C₂×C₁₃	semidirect
297. #3120	C₂×C₁₃	semidirect
298. #3116	C₂×C₁₃	semidirect
299. #2966	C₂×C₁₃	semidirect
300. #2951	C₂×C₁₃	semidirect
301. C₄×#135	C₂×C₁₃	semidirect
646. C₁₃	#61477	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×#3515	2
C₁₃×#3395	2
C₁₃×#3380	2
C₁₃×#3372	2
C₁₃×#3338	2
C₁₃×#3336	2
C₁₃×#3331	2
C₁₃×#3315	2
C₁₃×#3283	2
C₁₃×#3177	2
C₁₃×#3170	2
C₁₃×#3120	2
C₁₃×#3116	2
C₁₃×#2966	2
C₁₃×#2951	2
C₄×C₁₃×#135	2
#61477	13

Subgroups — C13×#61477 #15747816

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61477 #15747816