Subgroups — C₁₃×#61267 #15747606

Order 3328.

1870 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3494	C₂	1	2	yes	maximal, complemented
2	C₁₃×#3355	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3354	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3347	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3345	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3163	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3096	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3094	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3081	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3058	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₁₃×#469	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2948	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2930	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2912	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2911	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
18	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
19	C₁₃×#555	C₂²	1	4	yes	complemented
20	C₁₃×#553	C₂²	1	4	yes	complemented
21	C₁₃×#553	C₂²	1	4	yes	complemented
22	C₁₃×#551	—	2	4	no	—
23	C₁₃×#547	C₂²	1	4	yes	complemented
24	C₁₃×#546	—	2	4	no	—
25	C₁₃×#544	C₂²	1	2	yes	—
26	C₁₃×#542	—	2	2	no	—
27	C₁₃×#540	—	2	2	no	—
28	C₁₃×#535	C₂²	1	2	yes	—
29	C₁₃×#532	—	2	2	no	—
30	C₁₃×#529	—	2	2	no	—
31	C₁₃×#525	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#121	C₂²	1	2	yes	—
33	C₁₃×#520	C₂²	1	2	yes	—
34	C₁₃×#518	C₂²	1	2	yes	—
35	C₂×C₁₃×#117	C₂²	1	2	yes	—
36	C₁₃×#501	C₂²	1	4	yes	complemented
37	C₁₃×#499	C₂²	1	2	yes	complemented
38	C₁₃×#498	C₂²	1	2	yes	complemented
39	C₁₃×#482	C₂²	1	4	yes	complemented
40	C₁₃×#482	C₂²	1	4	yes	complemented
41	C₁₃×#482	C₂²	1	4	yes	complemented
42	C₁₃×#482	C₂²	1	4	yes	complemented
43	C₁₃×#481	C₂²	1	4	yes	complemented
44	C₁₃×#481	C₂²	1	4	yes	complemented
45	C₁₃×#480	C₂²	1	4	yes	complemented
46	C₁₃×#480	C₂²	1	4	yes	complemented
47	C₁₃×#478	C₂²	1	4	yes	complemented
48	C₁₃×#478	C₂²	1	4	yes	complemented
49	C₁₃×#476	C₂²	1	4	yes	complemented
50	C₁₃×#474	C₂²	1	4	yes	complemented
51	C₁₃×#469	C₂²	1	4	yes	—
52	C₁₃×#469	C₂²	1	4	yes	—
53	C₁₃×#469	C₂²	1	2	yes	complemented
54	C₁₃×#469	C₂²	1	2	yes	complemented
55	C₁₃×#466	C₂²	1	4	yes	complemented
56	C₁₃×#442	C₂²	1	2	yes	complemented
57	C₁₃×#442	C₂²	1	2	yes	complemented
58	C₄×C₁₃×D₈	C₂²	1	4	yes	complemented
59	C₁₃×#436	C₂²	1	4	yes	complemented
60	C₁₃×#435	C₂²	1	4	yes	complemented
61	C₁₃×#428	C₂²	1	2	yes	—
62	C₁₃×#428	C₂²	1	2	yes	—
63	C₁₃×#428	C₂²	1	2	yes	complemented
64	C₁₃×#428	C₂²	1	2	yes	complemented
65	C₁₃×#428	C₂²	1	2	yes	complemented
66	C₁₃×#428	C₂²	1	4	yes	complemented
67	C₁₃×#428	C₂²	1	2	yes	complemented
68	C₁₃×#427	C₂²	1	1	yes	characteristic
69	C₁₃×#427	C₂²	1	2	yes	—
70	C₁₃×#427	C₂²	1	1	yes	characteristic
71	C₁₃×#427	C₂²	1	2	yes	complemented
72	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
73	C₂×C₁₃×#106	C₂²	1	2	yes	complemented
74	C₁₃×#424	C₂²	1	1	yes	characteristic
75	C₁₃×#418	C₂²	1	2	yes	—
76	C₁₃×#418	C₂²	1	2	yes	—
77	C₂×C₁₃×#102	C₂²	1	2	yes	—
78	C₁₃×#408	C₂²	1	1	yes	characteristic
79	C₁₃×#407	C₂²	1	1	yes	characteristic
80	C₁₃×#405	C₂²	1	1	yes	characteristic
81	C₂×C₁₃×#41	—	2	4	no	—
82	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
83	C₂²×D₄×C₁₃	—	2	2	no	—
84	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
85	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
86	C₂×C₁₃×D₈	—	2	4	no	—
87	C₂×C₁₃×D₈	C₂³	1	2	yes	—
88	C₂×C₁₃×D₈	C₂³	1	2	yes	—
89	C₁₃×#131	—	2	4	no	—
90	C₂×C₁₃×M₁₆	—	2	4	no	—
91	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
92	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
93	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
94	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
95	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
96	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
97	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
98	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
99	C₁₃×C₄⋊Q₈	—	2	2	no	—
100	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
101	C₁₃×#127	—	2	2	no	—
102	C₁₃×#126	—	2	4	no	—
103	C₁₃×#126	—	2	4	no	—
104	C₁₃×#125	—	2	2	no	—
105	C₁₃×#125	C₂³	1	4	yes	—
106	C₁₃×#124	—	2	2	no	—
107	C₁₃×#124	—	2	4	no	—
108	C₁₃×#124	—	2	4	no	—
109	C₁₃×#123	—	2	4	no	—
110	C₁₃×#123	—	2	4	no	—
111	C₁₃×#123	—	2	4	no	—
112	C₁₃×#123	—	2	4	no	—
113	C₁₃×#123	D₄	1	2	yes	—
114	C₁₃×C₂²⋊Q₈	—	2	4	no	—
115	C₁₃×C₂²⋊Q₈	—	2	4	no	—
116	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
117	C₁₃×#121	—	2	4	no	—
118	C₁₃×#121	—	2	4	no	—
119	C₁₃×#121	—	2	4	no	—
120	C₁₃×#121	—	2	2	no	—
121	C₁₃×#121	—	2	2	no	—
122	C₁₃×#121	D₄	1	2	yes	—
123	C₁₃×#121	C₂³	1	4	yes	—
124	C₁₃×#121	C₂³	1	4	yes	—
125	C₁₃×#121	C₂³	1	4	yes	—
126	C₁₃×#121	C₂³	1	4	yes	—
127	C₁₃×#120	—	2	4	no	—
128	C₁₃×#120	D₄	1	2	yes	—
129	C₄×Q₈×C₁₃	—	2	2	no	—
130	C₄×D₄×C₁₃	—	2	2	no	—
131	C₄×D₄×C₁₃	—	2	4	no	—
132	C₄×D₄×C₁₃	—	2	2	no	—
133	C₄×D₄×C₁₃	—	2	2	no	—
134	C₄×D₄×C₁₃	—	2	4	no	—
135	C₄×D₄×C₁₃	—	2	4	no	—
136	C₄×D₄×C₁₃	C₂³	1	4	yes	—
137	C₄×D₄×C₁₃	C₂³	1	4	yes	—
138	C₄×D₄×C₁₃	C₂³	1	4	yes	—
139	C₁₃×#117	—	2	2	no	—
140	C₁₃×#117	—	2	2	no	—
141	C₁₃×#117	—	2	4	no	—
142	C₁₃×#117	C₂³	1	2	yes	—
143	C₁₃×#117	C₂³	1	2	yes	—
144	C₁₃×#117	C₂³	1	4	yes	—
145	C₁₃×#117	C₂³	1	2	yes	—
146	C₁₃×#117	C₂³	1	2	yes	—
147	C₁₃×#117	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
149	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
150	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
151	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
152	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
153	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
154	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
155	C₂×C₄²×C₁₃	—	2	2	no	—
156	C₁₃×#107	C₂³	1	2	yes	—
157	C₁₃×#107	C₂³	1	2	yes	—
158	C₁₃×#107	C₂³	1	2	yes	—
159	C₁₃×#107	C₂³	1	2	yes	—
160	C₁₃×#107	C₂³	1	4	yes	—
161	C₁₃×#107	C₂³	1	4	yes	—
162	C₁₃×#106	C₂³	1	2	yes	—
163	C₁₃×#106	C₂³	1	2	yes	—
164	C₁₃×#106	C₂³	1	1	yes	characteristic
165	C₁₃×#106	C₂³	1	4	yes	—
166	C₁₃×#106	C₂³	1	1	yes	characteristic
167	C₁₃×#106	C₂³	1	1	yes	characteristic
168	C₁₃×#106	C₂³	1	1	yes	characteristic
169	C₁₃×#106	C₂³	1	2	yes	—
170	C₁₃×#106	C₂³	1	2	yes	—
171	C₁₃×#106	C₂³	1	4	yes	—
172	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
173	C₁₃×#102	C₂³	1	4	yes	—
174	C₁₃×#102	C₂³	1	4	yes	—
175	C₁₃×#102	C₂³	1	4	yes	—
176	C₁₃×#102	C₂³	1	4	yes	—
177	C₁₃×#102	C₂³	1	4	yes	—
178	C₁₃×#102	C₂³	1	4	yes	—
179	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
180	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
181	C₁₃×#97	C₂³	1	2	yes	—
182	C₄×C₈×C₁₃	C₂³	1	2	yes	—
183	#61267	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
184	C₂⁴×C₁₃	—	2	2	no	—
185	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
186	C₁₃×#41	—	2	2	no	—
187	C₁₃×#41	—	2	2	no	—
188	C₁₃×#41	—	8	8	no	—
189	C₂×Q₈×C₁₃	—	2	4	no	—
190	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
191	C₂×D₄×C₁₃	—	2	4	no	—
192	C₂×D₄×C₁₃	—	2	4	no	—
193	C₂×D₄×C₁₃	—	2	4	no	—
194	C₂×D₄×C₁₃	—	2	4	no	—
195	C₂×D₄×C₁₃	—	2	2	no	—
196	C₂×D₄×C₁₃	—	2	4	no	—
197	C₂×D₄×C₁₃	—	2	4	no	—
198	C₂×D₄×C₁₃	—	8	4	no	—
199	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
200	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
201	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
202	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
203	C₂²×C₄×C₁₃	—	2	2	no	—
204	C₂²×C₄×C₁₃	—	2	2	no	—
205	C₂²×C₄×C₁₃	—	2	2	no	—
206	C₂²×C₄×C₁₃	—	2	2	no	—
207	C₂²×C₄×C₁₃	—	2	2	no	—
208	C₂²×C₄×C₁₃	—	2	4	no	—
209	C₂²×C₄×C₁₃	—	2	4	no	—
210	C₂²×C₄×C₁₃	—	2	4	no	—
211	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
212	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
213	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
214	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
215	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
216	C₁₃×D₈	—	2	4	no	—
217	C₁₃×D₈	—	2	4	no	—
218	C₁₃×M₁₆	—	2	2	no	—
219	C₁₃×M₁₆	—	2	2	no	—
220	C₁₃×M₁₆	—	2	4	no	—
221	C₁₃×M₁₆	—	2	4	no	—
222	C₁₃×M₁₆	—	2	4	no	—
223	C₂×C₈×C₁₃	—	2	2	no	—
224	C₂×C₈×C₁₃	—	2	4	no	—
225	C₂×C₈×C₁₃	#41	1	4	yes	complemented
226	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
227	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
228	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
229	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
230	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
231	C₁₃×C₄⋊C₄	—	2	2	no	—
232	C₁₃×C₄⋊C₄	—	2	2	no	—
233	C₁₃×C₄⋊C₄	—	2	2	no	—
234	C₁₃×C₄⋊C₄	—	2	4	no	—
235	C₁₃×C₄⋊C₄	—	2	4	no	—
236	C₁₃×C₄⋊C₄	—	2	4	no	—
237	C₁₃×C₄⋊C₄	—	2	4	no	—
238	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
239	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
240	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
241	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
242	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
243	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
244	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
245	C₁₃×C₂²⋊C₄	—	2	2	no	—
246	C₁₃×C₂²⋊C₄	—	2	2	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	—	2	4	no	—
251	C₁₃×C₂²⋊C₄	—	2	4	no	—
252	C₁₃×C₂²⋊C₄	—	2	4	no	—
253	C₁₃×C₂²⋊C₄	—	2	4	no	—
254	C₁₃×C₂²⋊C₄	—	2	4	no	—
255	C₁₃×C₂²⋊C₄	—	2	4	no	—
256	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
257	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
258	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
259	C₄²×C₁₃	—	2	2	no	—
260	C₄²×C₁₃	—	2	2	no	—
261	C₄²×C₁₃	—	2	2	no	—
262	C₄²×C₁₃	—	2	2	no	—
263	C₄²×C₁₃	—	2	4	no	—
264	C₄²×C₁₃	C₂⁴	1	2	yes	—
265	#3494	C₂×C₁₃	1	2	yes	complemented
266	#3355	C₂×C₁₃	1	4	yes	complemented
267	#3354	C₂×C₁₃	1	4	yes	complemented
268	#3347	C₂×C₁₃	1	4	yes	complemented
269	#3345	C₂×C₁₃	1	4	yes	complemented
270	#3163	C₂×C₁₃	1	1	yes	characteristic, complemented
271	#3096	C₂×C₁₃	1	2	yes	complemented
272	#3094	C₂×C₁₃	1	2	yes	complemented
273	#3081	C₂×C₁₃	1	2	yes	complemented
274	#3058	C₂×C₁₃	1	1	yes	characteristic, complemented
275	C₂×#469	C₂×C₁₃	1	1	yes	characteristic, complemented
276	#2948	C₂×C₁₃	1	1	yes	characteristic, complemented
277	#2930	C₂×C₁₃	1	1	yes	characteristic, complemented
278	#2912	C₂×C₁₃	1	1	yes	characteristic, complemented
279	#2911	C₂×C₁₃	1	1	yes	characteristic, complemented
280	C₂³×C₁₃	—	2	2	no	—
281	C₂³×C₁₃	—	2	4	no	—
282	C₂³×C₁₃	—	4	2	no	—
283	C₂³×C₁₃	—	4	4	no	—
284	C₂³×C₁₃	—	8	2	no	—
285	C₂³×C₁₃	—	8	2	no	—
286	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
287	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
288	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
289	Q₈×C₁₃	—	2	2	no	—
290	Q₈×C₁₃	—	8	4	no	—
291	D₄×C₁₃	—	2	4	no	—
292	D₄×C₁₃	—	2	2	no	—
293	D₄×C₁₃	—	2	4	no	—
294	D₄×C₁₃	—	2	4	no	—
295	D₄×C₁₃	—	4	4	no	—
296	D₄×C₁₃	—	4	8	no	—
297	D₄×C₁₃	—	4	4	no	—
298	D₄×C₁₃	—	8	4	no	—
299	D₄×C₁₃	—	8	4	no	—
300	D₄×C₁₃	—	8	4	no	—
301	C₂×C₄×C₁₃	—	2	2	no	—
302	C₂×C₄×C₁₃	—	2	4	no	—
303	C₂×C₄×C₁₃	—	2	2	no	—
304	C₂×C₄×C₁₃	—	2	2	no	—
305	C₂×C₄×C₁₃	—	2	2	no	—
306	C₂×C₄×C₁₃	—	2	2	no	—
307	C₂×C₄×C₁₃	—	2	2	no	—
308	C₂×C₄×C₁₃	—	2	2	no	—
309	C₂×C₄×C₁₃	—	2	2	no	—
310	C₂×C₄×C₁₃	—	2	2	no	—
311	C₂×C₄×C₁₃	—	2	4	no	—
312	C₂×C₄×C₁₃	—	4	4	no	—
313	C₂×C₄×C₁₃	—	8	4	no	—
314	C₂×C₄×C₁₃	—	8	4	no	—
315	C₂×C₄×C₁₃	—	8	2	no	—
316	C₂×C₄×C₁₃	—	8	2	no	—
317	C₂×C₄×C₁₃	—	8	4	no	—
318	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
319	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
320	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
321	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
322	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
323	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
324	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
325	C₈×C₁₃	—	2	2	no	—
326	C₈×C₁₃	—	2	2	no	—
327	C₈×C₁₃	—	2	2	no	—
328	C₈×C₁₃	C₂×#41	1	2	yes	—
329	C₈×C₁₃	C₂×#41	1	2	yes	—
330	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
331	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
332	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
333	#555	C₂²×C₁₃	1	4	yes	complemented
334	#553	C₂²×C₁₃	1	4	yes	complemented
335	#553	C₂²×C₁₃	1	4	yes	complemented
336	#551	—	2	4	no	—
337	#547	C₂²×C₁₃	1	4	yes	complemented
338	#546	—	2	4	no	—
339	#544	C₂²×C₁₃	1	2	yes	—
340	#542	—	2	2	no	—
341	#540	—	2	2	no	—
342	#535	C₂²×C₁₃	1	2	yes	—
343	#532	—	2	2	no	—
344	#529	—	2	2	no	—
345	#525	C₂²×C₁₃	1	1	yes	characteristic
346	C₂×#121	C₂²×C₁₃	1	2	yes	—
347	#520	C₂²×C₁₃	1	2	yes	—
348	#518	C₂²×C₁₃	1	2	yes	—
349	C₂×#117	C₂²×C₁₃	1	2	yes	—
350	#501	C₂²×C₁₃	1	4	yes	complemented
351	#499	C₂²×C₁₃	1	2	yes	complemented
352	#498	C₂²×C₁₃	1	2	yes	complemented
353	#482	C₂²×C₁₃	1	4	yes	complemented
354	#482	C₂²×C₁₃	1	4	yes	complemented
355	#482	C₂²×C₁₃	1	4	yes	complemented
356	#482	C₂²×C₁₃	1	4	yes	complemented
357	#481	C₂²×C₁₃	1	4	yes	complemented
358	#481	C₂²×C₁₃	1	4	yes	complemented
359	#480	C₂²×C₁₃	1	4	yes	complemented
360	#480	C₂²×C₁₃	1	4	yes	complemented
361	#478	C₂²×C₁₃	1	4	yes	complemented
362	#478	C₂²×C₁₃	1	4	yes	complemented
363	#476	C₂²×C₁₃	1	4	yes	complemented
364	#474	C₂²×C₁₃	1	4	yes	complemented
365	#469	C₂²×C₁₃	1	4	yes	—
366	#469	C₂²×C₁₃	1	4	yes	—
367	#469	C₂²×C₁₃	1	2	yes	complemented
368	#469	C₂²×C₁₃	1	2	yes	complemented
369	#466	C₂²×C₁₃	1	4	yes	complemented
370	#442	C₂²×C₁₃	1	2	yes	complemented
371	#442	C₂²×C₁₃	1	2	yes	complemented
372	C₄×D₈	C₂²×C₁₃	1	4	yes	complemented
373	#436	C₂²×C₁₃	1	4	yes	complemented
374	#435	C₂²×C₁₃	1	4	yes	complemented
375	#428	C₂²×C₁₃	1	2	yes	—
376	#428	C₂²×C₁₃	1	2	yes	—
377	#428	C₂²×C₁₃	1	2	yes	complemented
378	#428	C₂²×C₁₃	1	2	yes	complemented
379	#428	C₂²×C₁₃	1	2	yes	complemented
380	#428	C₂²×C₁₃	1	4	yes	complemented
381	#428	C₂²×C₁₃	1	2	yes	complemented
382	#427	C₂²×C₁₃	1	2	yes	—
383	#427	C₂²×C₁₃	1	1	yes	characteristic
384	#427	C₂²×C₁₃	1	1	yes	characteristic
385	#427	C₂²×C₁₃	1	2	yes	complemented
386	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
387	C₂×#106	C₂²×C₁₃	1	2	yes	complemented
388	#424	C₂²×C₁₃	1	1	yes	characteristic
389	#418	C₂²×C₁₃	1	2	yes	—
390	#418	C₂²×C₁₃	1	2	yes	—
391	C₂×#102	C₂²×C₁₃	1	2	yes	—
392	#408	C₂²×C₁₃	1	1	yes	characteristic
393	#407	C₂²×C₁₃	1	1	yes	characteristic
394	#405	C₂²×C₁₃	1	1	yes	characteristic
395	C₂²×C₁₃	—	2	2	no	—
396	C₂²×C₁₃	—	2	2	no	—
397	C₂²×C₁₃	—	2	4	no	—
398	C₂²×C₁₃	—	2	2	no	—
399	C₂²×C₁₃	—	2	2	no	—
400	C₂²×C₁₃	—	2	2	no	—
401	C₂²×C₁₃	—	4	4	no	—
402	C₂²×C₁₃	—	4	4	no	—
403	C₂²×C₁₃	—	4	4	no	—
404	C₂²×C₁₃	—	8	2	no	—
405	C₂²×C₁₃	—	16	4	no	—
406	C₂²×C₁₃	#547	1	2	yes	—
407	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
408	C₄×C₁₃	—	2	4	no	—
409	C₄×C₁₃	—	2	2	no	—
410	C₄×C₁₃	—	2	2	no	—
411	C₄×C₁₃	—	4	2	no	—
412	C₄×C₁₃	—	4	2	no	—
413	C₄×C₁₃	—	4	2	no	—
414	C₄×C₁₃	—	4	4	no	—
415	C₄×C₁₃	—	4	2	no	—
416	C₄×C₁₃	#547	1	2	yes	—
417	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
418	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
419	C₂×#41	—	2	4	no	—
420	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
421	C₂²×D₄	—	2	2	no	—
422	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
423	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
424	C₂×D₈	—	2	4	no	—
425	C₂×D₈	C₂³×C₁₃	1	2	yes	—
426	C₂×D₈	C₂³×C₁₃	1	2	yes	—
427	#131	—	2	4	no	—
428	C₂×M₁₆	—	2	4	no	—
429	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
430	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
431	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
432	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
433	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
434	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
435	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
436	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
437	C₄⋊Q₈	—	2	2	no	—
438	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
439	#127	—	2	2	no	—
440	#126	—	2	4	no	—
441	#126	—	2	4	no	—
442	#125	—	2	2	no	—
443	#125	C₂³×C₁₃	1	4	yes	—
444	#124	—	2	2	no	—
445	#124	—	2	4	no	—
446	#124	—	2	4	no	—
447	#123	—	2	4	no	—
448	#123	—	2	4	no	—
449	#123	—	2	4	no	—
450	#123	—	2	4	no	—
451	#123	D₄×C₁₃	1	2	yes	—
452	C₂²⋊Q₈	—	2	4	no	—
453	C₂²⋊Q₈	—	2	4	no	—
454	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
455	#121	—	2	4	no	—
456	#121	—	2	4	no	—
457	#121	—	2	4	no	—
458	#121	—	2	2	no	—
459	#121	—	2	2	no	—
460	#121	D₄×C₁₃	1	2	yes	—
461	#121	C₂³×C₁₃	1	4	yes	—
462	#121	C₂³×C₁₃	1	4	yes	—
463	#121	C₂³×C₁₃	1	4	yes	—
464	#121	C₂³×C₁₃	1	4	yes	—
465	#120	—	2	4	no	—
466	#120	D₄×C₁₃	1	2	yes	—
467	C₄×Q₈	—	2	2	no	—
468	C₄×D₄	—	2	2	no	—
469	C₄×D₄	—	2	4	no	—
470	C₄×D₄	—	2	2	no	—
471	C₄×D₄	—	2	2	no	—
472	C₄×D₄	—	2	4	no	—
473	C₄×D₄	—	2	4	no	—
474	C₄×D₄	C₂³×C₁₃	1	4	yes	—
475	C₄×D₄	C₂³×C₁₃	1	4	yes	—
476	C₄×D₄	C₂³×C₁₃	1	4	yes	—
477	#117	—	2	2	no	—
478	#117	—	2	2	no	—
479	#117	—	2	4	no	—
480	#117	C₂³×C₁₃	1	2	yes	—
481	#117	C₂³×C₁₃	1	2	yes	—
482	#117	C₂³×C₁₃	1	2	yes	—
483	#117	C₂³×C₁₃	1	2	yes	—
484	#117	C₂³×C₁₃	1	4	yes	—
485	#117	C₂³×C₁₃	1	1	yes	characteristic
486	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
487	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
488	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
489	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
490	C₂×C₂²⋊C₄	—	2	2	no	—
491	C₂×C₂²⋊C₄	—	2	2	no	—
492	C₂×C₂²⋊C₄	—	2	4	no	—
493	C₂×C₄²	—	2	2	no	—
494	#107	C₂³×C₁₃	1	2	yes	—
495	#107	C₂³×C₁₃	1	2	yes	—
496	#107	C₂³×C₁₃	1	2	yes	—
497	#107	C₂³×C₁₃	1	2	yes	—
498	#107	C₂³×C₁₃	1	4	yes	—
499	#107	C₂³×C₁₃	1	4	yes	—
500	#106	C₂³×C₁₃	1	2	yes	—
501	#106	C₂³×C₁₃	1	2	yes	—
502	#106	C₂³×C₁₃	1	1	yes	characteristic
503	#106	C₂³×C₁₃	1	4	yes	—
504	#106	C₂³×C₁₃	1	1	yes	characteristic
505	#106	C₂³×C₁₃	1	1	yes	characteristic
506	#106	C₂³×C₁₃	1	1	yes	characteristic
507	#106	C₂³×C₁₃	1	2	yes	—
508	#106	C₂³×C₁₃	1	2	yes	—
509	#106	C₂³×C₁₃	1	4	yes	—
510	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
511	#102	C₂³×C₁₃	1	4	yes	—
512	#102	C₂³×C₁₃	1	4	yes	—
513	#102	C₂³×C₁₃	1	4	yes	—
514	#102	C₂³×C₁₃	1	4	yes	—
515	#102	C₂³×C₁₃	1	4	yes	—
516	#102	C₂³×C₁₃	1	4	yes	—
517	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
518	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
519	#97	C₂³×C₁₃	1	2	yes	—
520	C₄×C₈	C₂³×C₁₃	1	2	yes	—
521	C₂×C₁₃	—	2	2	no	—
522	C₂×C₁₃	—	4	2	no	—
523	C₂×C₁₃	—	4	2	no	—
524	C₂×C₁₃	—	8	4	no	—
525	C₂×C₁₃	C₂×#547	1	1	yes	characteristic
526	C₂×C₁₃	#3585	1	2	yes	—
527	C₂⁴	—	2	2	no	—
528	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
529	#41	—	2	2	no	—
530	#41	—	2	2	no	—
531	#41	—	8	8	no	—
532	C₂×Q₈	—	2	4	no	—
533	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
534	C₂×D₄	—	2	4	no	—
535	C₂×D₄	—	2	4	no	—
536	C₂×D₄	—	2	4	no	—
537	C₂×D₄	—	2	4	no	—
538	C₂×D₄	—	2	2	no	—
539	C₂×D₄	—	2	4	no	—
540	C₂×D₄	—	2	4	no	—
541	C₂×D₄	—	8	4	no	—
542	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
543	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
544	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
545	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
546	C₂²×C₄	—	2	2	no	—
547	C₂²×C₄	—	2	2	no	—
548	C₂²×C₄	—	2	2	no	—
549	C₂²×C₄	—	2	2	no	—
550	C₂²×C₄	—	2	2	no	—
551	C₂²×C₄	—	2	4	no	—
552	C₂²×C₄	—	2	4	no	—
553	C₂²×C₄	—	2	4	no	—
554	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
555	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
556	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
557	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
558	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
559	D₈	—	2	4	no	—
560	D₈	—	2	4	no	—
561	M₁₆	—	2	2	no	—
562	M₁₆	—	2	2	no	—
563	M₁₆	—	2	4	no	—
564	M₁₆	—	2	4	no	—
565	M₁₆	—	2	4	no	—
566	C₂×C₈	—	2	2	no	—
567	C₂×C₈	—	2	4	no	—
568	C₂×C₈	C₁₃×#41	1	4	yes	complemented
569	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
570	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
571	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
572	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
573	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
574	C₄⋊C₄	—	2	2	no	—
575	C₄⋊C₄	—	2	2	no	—
576	C₄⋊C₄	—	2	2	no	—
577	C₄⋊C₄	—	2	4	no	—
578	C₄⋊C₄	—	2	4	no	—
579	C₄⋊C₄	—	2	4	no	—
580	C₄⋊C₄	—	2	4	no	—
581	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
582	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
583	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
584	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
585	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
586	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
587	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
588	C₂²⋊C₄	—	2	2	no	—
589	C₂²⋊C₄	—	2	2	no	—
590	C₂²⋊C₄	—	2	2	no	—
591	C₂²⋊C₄	—	2	2	no	—
592	C₂²⋊C₄	—	2	4	no	—
593	C₂²⋊C₄	—	2	4	no	—
594	C₂²⋊C₄	—	2	4	no	—
595	C₂²⋊C₄	—	2	4	no	—
596	C₂²⋊C₄	—	2	4	no	—
597	C₂²⋊C₄	—	2	4	no	—
598	C₂²⋊C₄	—	2	4	no	—
599	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
600	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
601	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
602	C₄²	—	2	2	no	—
603	C₄²	—	2	2	no	—
604	C₄²	—	2	2	no	—
605	C₄²	—	2	2	no	—
606	C₄²	—	2	4	no	—
607	C₄²	C₂⁴×C₁₃	1	2	yes	—
608	C₁₃	#61267	1	1	yes	characteristic, direct product factor, Sylow
609	C₂³	—	2	2	no	—
610	C₂³	—	2	4	no	—
611	C₂³	—	4	2	no	—
612	C₂³	—	4	4	no	—
613	C₂³	—	8	2	no	—
614	C₂³	—	8	2	no	—
615	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
616	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
617	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
618	Q₈	—	2	2	no	—
619	Q₈	—	8	4	no	—
620	D₄	—	2	4	no	—
621	D₄	—	2	2	no	—
622	D₄	—	2	4	no	—
623	D₄	—	2	4	no	—
624	D₄	—	4	4	no	—
625	D₄	—	4	8	no	—
626	D₄	—	4	4	no	—
627	D₄	—	8	4	no	—
628	D₄	—	8	4	no	—
629	D₄	—	8	4	no	—
630	C₂×C₄	—	2	2	no	—
631	C₂×C₄	—	2	4	no	—
632	C₂×C₄	—	2	2	no	—
633	C₂×C₄	—	2	2	no	—
634	C₂×C₄	—	2	2	no	—
635	C₂×C₄	—	2	2	no	—
636	C₂×C₄	—	2	2	no	—
637	C₂×C₄	—	2	2	no	—
638	C₂×C₄	—	2	2	no	—
639	C₂×C₄	—	2	2	no	—
640	C₂×C₄	—	2	4	no	—
641	C₂×C₄	—	4	4	no	—
642	C₂×C₄	—	8	4	no	—
643	C₂×C₄	—	8	4	no	—
644	C₂×C₄	—	8	2	no	—
645	C₂×C₄	—	8	2	no	—
646	C₂×C₄	—	8	4	no	—
647	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
648	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
649	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
650	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
651	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
652	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
653	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
654	C₈	—	2	2	no	—
655	C₈	—	2	2	no	—
656	C₈	—	2	2	no	—
657	C₈	C₂×C₁₃×#41	1	2	yes	—
658	C₈	C₂×C₁₃×#41	1	2	yes	—
659	C₂²	—	2	2	no	—
660	C₂²	—	2	2	no	—
661	C₂²	—	2	4	no	—
662	C₂²	—	2	2	no	—
663	C₂²	—	2	2	no	—
664	C₂²	—	2	2	no	—
665	C₂²	—	4	4	no	—
666	C₂²	—	4	4	no	—
667	C₂²	—	4	4	no	—
668	C₂²	—	8	2	no	—
669	C₂²	—	16	4	no	—
670	C₂²	C₁₃×#547	1	2	yes	—
671	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
672	C₄	—	2	4	no	—
673	C₄	—	2	2	no	—
674	C₄	—	2	2	no	—
675	C₄	—	4	2	no	—
676	C₄	—	4	2	no	—
677	C₄	—	4	2	no	—
678	C₄	—	4	4	no	—
679	C₄	—	4	2	no	—
680	C₄	C₁₃×#547	1	2	yes	—
681	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
682	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
683	C₂	—	2	2	no	—
684	C₂	—	4	2	no	—
685	C₂	—	4	2	no	—
686	C₂	—	8	4	no	—
687	C₂	C₂×C₁₃×#547	1	1	yes	characteristic
688	C₂	C₁₃×#3585	1	2	yes	—

	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×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3494	C₂	semidirect
2. C₁₃×#3355	C₂	semidirect
3. C₁₃×#3354	C₂	semidirect
4. C₁₃×#3347	C₂	semidirect
5. C₁₃×#3345	C₂	semidirect
6. C₁₃×#3163	C₂	semidirect
7. C₁₃×#3096	C₂	semidirect
8. C₁₃×#3094	C₂	semidirect
9. C₁₃×#3081	C₂	semidirect
10. C₁₃×#3058	C₂	semidirect
11. C₂×C₁₃×#469	C₂	semidirect
12. C₁₃×#2948	C₂	semidirect
13. C₁₃×#2930	C₂	semidirect
14. C₁₃×#2912	C₂	semidirect
15. C₁₃×#2911	C₂	semidirect
19. C₁₃×#555	C₂²	semidirect
20. C₁₃×#553	C₂²	semidirect
21. C₁₃×#553	C₂²	semidirect
23. C₁₃×#547	C₂²	semidirect
36. C₁₃×#501	C₂²	semidirect
37. C₁₃×#499	C₂²	semidirect
38. C₁₃×#498	C₂²	semidirect
39. C₁₃×#482	C₂²	semidirect
40. C₁₃×#482	C₂²	semidirect
41. C₁₃×#482	C₂²	semidirect
42. C₁₃×#482	C₂²	semidirect
43. C₁₃×#481	C₂²	semidirect
44. C₁₃×#481	C₂²	semidirect
45. C₁₃×#480	C₂²	semidirect
46. C₁₃×#480	C₂²	semidirect
47. C₁₃×#478	C₂²	semidirect
48. C₁₃×#478	C₂²	semidirect
49. C₁₃×#476	C₂²	semidirect
50. C₁₃×#474	C₂²	semidirect
53. C₁₃×#469	C₂²	semidirect
54. C₁₃×#469	C₂²	semidirect
55. C₁₃×#466	C₂²	semidirect
56. C₁₃×#442	C₂²	semidirect
57. C₁₃×#442	C₂²	semidirect
58. C₄×C₁₃×D₈	C₂²	semidirect
59. C₁₃×#436	C₂²	semidirect
60. C₁₃×#435	C₂²	semidirect
63. C₁₃×#428	C₂²	semidirect
64. C₁₃×#428	C₂²	semidirect
65. C₁₃×#428	C₂²	semidirect
66. C₁₃×#428	C₂²	semidirect
67. C₁₃×#428	C₂²	semidirect
71. C₁₃×#427	C₂²	semidirect
73. C₂×C₁₃×#106	C₂²	semidirect
183. #61267	C₁₃	direct (N × H)
225. C₂×C₈×C₁₃	#41	semidirect
265. #3494	C₂×C₁₃	semidirect
266. #3355	C₂×C₁₃	semidirect
267. #3354	C₂×C₁₃	semidirect
268. #3347	C₂×C₁₃	semidirect
269. #3345	C₂×C₁₃	semidirect
270. #3163	C₂×C₁₃	semidirect
271. #3096	C₂×C₁₃	semidirect
272. #3094	C₂×C₁₃	semidirect
273. #3081	C₂×C₁₃	semidirect
274. #3058	C₂×C₁₃	semidirect
275. C₂×#469	C₂×C₁₃	semidirect
276. #2948	C₂×C₁₃	semidirect
277. #2930	C₂×C₁₃	semidirect
278. #2912	C₂×C₁₃	semidirect
279. #2911	C₂×C₁₃	semidirect
333. #555	C₂²×C₁₃	semidirect
334. #553	C₂²×C₁₃	semidirect
335. #553	C₂²×C₁₃	semidirect
337. #547	C₂²×C₁₃	semidirect
350. #501	C₂²×C₁₃	semidirect
351. #499	C₂²×C₁₃	semidirect
352. #498	C₂²×C₁₃	semidirect
353. #482	C₂²×C₁₃	semidirect
354. #482	C₂²×C₁₃	semidirect
355. #482	C₂²×C₁₃	semidirect
356. #482	C₂²×C₁₃	semidirect
357. #481	C₂²×C₁₃	semidirect
358. #481	C₂²×C₁₃	semidirect
359. #480	C₂²×C₁₃	semidirect
360. #480	C₂²×C₁₃	semidirect
361. #478	C₂²×C₁₃	semidirect
362. #478	C₂²×C₁₃	semidirect
363. #476	C₂²×C₁₃	semidirect
364. #474	C₂²×C₁₃	semidirect
367. #469	C₂²×C₁₃	semidirect
368. #469	C₂²×C₁₃	semidirect
369. #466	C₂²×C₁₃	semidirect
370. #442	C₂²×C₁₃	semidirect
371. #442	C₂²×C₁₃	semidirect
372. C₄×D₈	C₂²×C₁₃	semidirect
373. #436	C₂²×C₁₃	semidirect
374. #435	C₂²×C₁₃	semidirect
377. #428	C₂²×C₁₃	semidirect
378. #428	C₂²×C₁₃	semidirect
379. #428	C₂²×C₁₃	semidirect
380. #428	C₂²×C₁₃	semidirect
381. #428	C₂²×C₁₃	semidirect
385. #427	C₂²×C₁₃	semidirect
387. C₂×#106	C₂²×C₁₃	semidirect
568. C₂×C₈	C₁₃×#41	semidirect
608. C₁₃	#61267	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×#3494	2
C₁₃×#3355	2
C₁₃×#3354	2
C₁₃×#3347	2
C₁₃×#3345	2
C₁₃×#3163	2
C₁₃×#3096	2
C₁₃×#3094	2
C₁₃×#3081	2
C₁₃×#3058	2
C₂×C₁₃×#469	2
C₁₃×#2948	2
C₁₃×#2930	2
C₁₃×#2912	2
C₁₃×#2911	2
#61267	13

Subgroups — C13×#61267 #15747606

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61267 #15747606