Subgroups — C₁₃×#60936 #15747275

Order 3328.

1772 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3495	C₂	1	2	yes	maximal, complemented
2	C₁₃×#3262	C₂	1	2	yes	maximal, complemented
3	C₁₃×#3261	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3258	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3250	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3249	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3248	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3083	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3082	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3056	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3050	C₂	1	1	yes	maximal, characteristic
12	C₂×C₁₃×#467	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3046	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3044	C₂	1	2	yes	maximal, complemented
15	C₂×C₁₃×#424	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×#137	C₂²	1	2	yes	—
17	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
18	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
19	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
20	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
21	C₁₃×#556	—	2	2	no	—
22	C₁₃×#554	—	2	2	no	—
23	C₁₃×#552	—	2	4	no	—
24	C₁₃×#552	—	2	2	no	—
25	C₁₃×#552	—	2	2	no	—
26	C₁₃×#551	—	2	4	no	—
27	C₁₃×#544	C₂²	1	2	yes	—
28	C₁₃×#542	C₂²	1	4	yes	—
29	C₁₃×#541	C₂²	1	4	yes	—
30	C₁₃×#536	C₂²	1	2	yes	—
31	C₁₃×#533	C₂²	1	4	yes	—
32	C₁₃×#529	C₂²	1	4	yes	—
33	C₁₃×#525	C₂²	1	2	yes	—
34	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
35	C₁₃×#520	C₂²	1	2	yes	—
36	C₁₃×#519	C₂²	1	2	yes	—
37	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
38	C₁₃×#479	C₂²	1	4	yes	complemented
39	C₁₃×#479	C₂²	1	4	yes	complemented
40	C₁₃×#479	C₂²	1	4	yes	complemented
41	C₁₃×#478	C₂²	1	4	yes	complemented
42	C₁₃×#477	C₂²	1	4	yes	complemented
43	C₁₃×#477	C₂²	1	4	yes	complemented
44	C₁₃×#475	C₂²	1	4	yes	complemented
45	C₁₃×#474	C₂²	1	4	yes	complemented
46	C₁₃×#470	C₂²	1	4	yes	—
47	C₁₃×#468	C₂²	1	4	yes	—
48	C₁₃×#467	C₂²	1	2	yes	—
49	C₁₃×#467	C₂²	1	2	yes	—
50	C₁₃×#467	C₂²	1	2	yes	—
51	C₁₃×#467	C₂²	1	2	yes	—
52	C₁₃×#467	C₂²	1	1	yes	characteristic
53	C₁₃×#467	C₂²	1	1	yes	characteristic
54	C₁₃×#467	C₂²	1	4	yes	—
55	C₁₃×#466	C₂²	1	1	yes	characteristic
56	C₁₃×#466	C₂²	1	1	yes	characteristic
57	C₁₃×#465	C₂²	1	2	yes	—
58	C₁₃×#465	C₂²	1	2	yes	—
59	C₁₃×#465	C₂²	1	4	yes	—
60	C₁₃×#464	C₂²	1	4	yes	complemented
61	C₁₃×#464	C₂²	1	4	yes	complemented
62	C₁₃×#464	C₂²	1	4	yes	complemented
63	C₁₃×#463	C₂²	1	4	yes	complemented
64	C₁₃×#462	C₂²	1	4	yes	complemented
65	C₁₃×#462	C₂²	1	4	yes	complemented
66	C₁₃×#462	C₂²	1	4	yes	complemented
67	C₁₃×#461	C₂²	1	4	yes	complemented
68	C₁₃×#428	C₂²	1	2	yes	—
69	C₁₃×#427	C₂²	1	1	yes	characteristic
70	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
71	C₁₃×#424	C₂²	1	2	yes	—
72	C₁₃×#424	C₂²	1	2	yes	—
73	C₁₃×#424	C₂²	1	2	yes	—
74	C₁₃×#424	C₂²	1	2	yes	—
75	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
76	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
77	C₁₃×#419	C₂²	1	2	yes	—
78	C₁₃×#417	C₂²	1	2	yes	—
79	C₁₃×#416	C₂²	1	2	yes	—
80	C₂×C₁₃×#103	C₂²	1	2	yes	—
81	C₂×C₁₃×#41	C₂³	1	2	yes	—
82	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
83	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
84	C₁₃×#137	—	4	4	no	—
85	C₁₃×#135	—	4	2	no	—
86	C₂×C₁₃×Q₁₆	—	4	2	no	—
87	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
88	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
89	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
90	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
91	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
92	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
93	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
94	C₂×C₁₃×M₁₆	—	4	2	no	—
95	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
96	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
97	C₂²×C₈×C₁₃	—	4	2	no	—
98	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
99	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
100	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
101	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
102	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
103	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
104	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
105	C₁₃×C₄⋊Q₈	—	2	2	no	—
106	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
107	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
108	C₁₃×#126	—	2	4	no	—
109	C₁₃×#126	—	2	4	no	—
110	C₁₃×#126	—	2	4	no	—
111	C₁₃×#126	—	2	4	no	—
112	C₁₃×#125	—	2	4	no	—
113	C₁₃×#125	—	2	4	no	—
114	C₁₃×#125	—	2	2	no	—
115	C₁₃×#125	—	2	4	no	—
116	C₁₃×#125	C₂³	1	4	yes	—
117	C₁₃×#124	—	2	4	no	—
118	C₁₃×#124	C₂³	1	4	yes	—
119	C₁₃×#123	—	2	2	no	—
120	C₁₃×#123	—	2	4	no	—
121	C₁₃×#123	—	2	4	no	—
122	C₁₃×#123	—	2	4	no	—
123	C₁₃×C₂²⋊Q₈	—	2	2	no	—
124	C₁₃×C₂²⋊Q₈	—	2	2	no	—
125	C₁₃×C₂²⋊Q₈	—	2	4	no	—
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	C₂³	1	4	yes	—
131	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
132	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
133	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
134	C₁₃×#121	C₂³	1	2	yes	—
135	C₁₃×#121	C₂³	1	2	yes	—
136	C₁₃×#120	—	2	2	no	—
137	C₄×Q₈×C₁₃	—	2	2	no	—
138	C₄×Q₈×C₁₃	—	2	2	no	—
139	C₄×Q₈×C₁₃	—	2	4	no	—
140	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
141	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
142	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
143	C₄×D₄×C₁₃	—	2	2	no	—
144	C₄×D₄×C₁₃	—	2	2	no	—
145	C₄×D₄×C₁₃	—	2	4	no	—
146	C₄×D₄×C₁₃	—	2	4	no	—
147	C₄×D₄×C₁₃	C₂³	1	4	yes	—
148	C₁₃×#117	—	2	4	no	—
149	C₁₃×#117	—	2	2	no	—
150	C₁₃×#117	—	2	4	no	—
151	C₁₃×#117	—	2	4	no	—
152	C₁₃×#117	D₄	1	2	yes	—
153	C₁₃×#117	D₄	1	2	yes	—
154	C₁₃×#117	C₂³	1	2	yes	—
155	C₁₃×#117	C₂³	1	2	yes	—
156	C₁₃×#117	C₂³	1	2	yes	—
157	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
158	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
159	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
160	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
161	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
162	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
163	C₂×C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
164	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
165	C₁₃×#107	C₂³	1	2	yes	—
166	C₁₃×#107	C₂³	1	2	yes	—
167	C₁₃×#107	C₂³	1	1	yes	characteristic
168	C₁₃×#107	C₂³	1	1	yes	characteristic
169	C₁₃×#107	C₂³	1	4	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×C₄⋊C₈	C₂³	1	4	yes	—
174	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
175	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
176	C₁₃×#103	C₂³	1	4	yes	—
177	C₁₃×#103	C₂³	1	4	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×#102	C₂³	1	2	yes	—
184	C₁₃×#102	C₂³	1	2	yes	—
185	C₁₃×#102	C₂³	1	4	yes	—
186	#60936	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
187	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
188	C₁₃×#41	—	2	4	no	—
189	C₁₃×#41	—	2	4	no	—
190	C₂×Q₈×C₁₃	—	2	2	no	—
191	C₂×Q₈×C₁₃	—	2	4	no	—
192	C₂×Q₈×C₁₃	—	2	4	no	—
193	C₂×Q₈×C₁₃	—	2	4	no	—
194	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
195	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
196	C₂×D₄×C₁₃	—	2	2	no	—
197	C₂×D₄×C₁₃	—	2	2	no	—
198	C₂×D₄×C₁₃	—	2	2	no	—
199	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
200	C₂²×C₄×C₁₃	—	2	2	no	—
201	C₂²×C₄×C₁₃	—	2	2	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	—	2	4	no	—
206	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
207	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
208	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
209	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
210	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
211	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
212	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
213	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
214	C₁₃×Q₁₆	—	4	2	no	—
215	C₁₃×Q₁₆	—	4	2	no	—
216	C₁₃×Q₁₆	—	4	1	no	—
217	C₁₃×Q₁₆	—	4	4	no	—
218	C₁₃×SD₁₆	—	4	2	no	—
219	C₁₃×SD₁₆	—	4	4	no	—
220	C₁₃×D₈	—	4	1	no	—
221	C₁₃×M₁₆	—	2	4	no	—
222	C₁₃×M₁₆	—	4	2	no	—
223	C₂×C₈×C₁₃	—	2	2	no	—
224	C₂×C₈×C₁₃	—	2	2	no	—
225	C₂×C₈×C₁₃	—	4	1	no	—
226	C₂×C₈×C₁₃	—	4	1	no	—
227	C₂×C₈×C₁₃	—	4	1	no	—
228	C₂×C₈×C₁₃	—	4	1	no	—
229	C₂×C₈×C₁₃	—	4	2	no	—
230	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
231	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
232	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
233	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
234	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
235	C₁₃×C₄⋊C₄	—	2	2	no	—
236	C₁₃×C₄⋊C₄	—	2	4	no	—
237	C₁₃×C₄⋊C₄	—	2	4	no	—
238	C₁₃×C₄⋊C₄	—	2	4	no	—
239	C₁₃×C₄⋊C₄	—	2	4	no	—
240	C₁₃×C₄⋊C₄	—	2	4	no	—
241	C₁₃×C₄⋊C₄	—	2	4	no	—
242	C₁₃×C₄⋊C₄	—	2	4	no	—
243	C₁₃×C₄⋊C₄	—	2	4	no	—
244	C₁₃×C₄⋊C₄	—	2	2	no	—
245	C₁₃×C₄⋊C₄	—	2	4	no	—
246	C₁₃×C₄⋊C₄	—	2	2	no	—
247	C₁₃×C₄⋊C₄	—	2	4	no	—
248	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
249	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
250	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
251	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
252	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
253	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
254	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
255	C₁₃×C₂²⋊C₄	—	2	4	no	—
256	C₁₃×C₂²⋊C₄	—	2	4	no	—
257	C₁₃×C₂²⋊C₄	—	2	2	no	—
258	C₁₃×C₂²⋊C₄	—	2	2	no	—
259	C₁₃×C₂²⋊C₄	—	2	2	no	—
260	C₁₃×C₂²⋊C₄	—	2	2	no	—
261	C₁₃×C₂²⋊C₄	—	2	4	no	—
262	C₁₃×C₂²⋊C₄	—	2	4	no	—
263	C₁₃×C₂²⋊C₄	—	2	2	no	—
264	C₁₃×C₂²⋊C₄	—	2	4	no	—
265	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
266	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
267	C₄²×C₁₃	—	2	4	no	—
268	C₄²×C₁₃	—	2	4	no	—
269	C₄²×C₁₃	—	2	4	no	—
270	C₄²×C₁₃	—	2	2	no	—
271	C₄²×C₁₃	C₂×D₄	1	4	yes	—
272	C₄²×C₁₃	C₂⁴	1	4	yes	—
273	#3495	C₂×C₁₃	1	2	yes	complemented
274	#3262	C₂×C₁₃	1	2	yes	complemented
275	#3261	C₂×C₁₃	1	2	yes	complemented
276	#3258	C₂×C₁₃	1	4	yes	complemented
277	#3250	C₂×C₁₃	1	2	yes	complemented
278	#3249	C₂×C₁₃	1	2	yes	complemented
279	#3248	C₂×C₁₃	1	4	yes	complemented
280	#3083	C₂×C₁₃	1	2	yes	complemented
281	#3082	C₂×C₁₃	1	2	yes	complemented
282	#3056	C₂×C₁₃	1	2	yes	complemented
283	#3050	C₂×C₁₃	1	1	yes	characteristic
284	C₂×#467	C₂×C₁₃	1	1	yes	characteristic, complemented
285	#3046	C₂×C₁₃	1	2	yes	complemented
286	#3044	C₂×C₁₃	1	2	yes	complemented
287	C₂×#424	C₂×C₁₃	1	1	yes	characteristic, complemented
288	C₂³×C₁₃	—	2	2	no	—
289	C₂³×C₁₃	—	2	2	no	—
290	C₂³×C₁₃	—	2	2	no	—
291	C₂³×C₁₃	—	4	1	no	—
292	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
293	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
294	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
295	Q₈×C₁₃	—	2	4	no	—
296	Q₈×C₁₃	—	2	2	no	—
297	Q₈×C₁₃	—	2	4	no	—
298	Q₈×C₁₃	—	2	2	no	—
299	Q₈×C₁₃	—	4	4	no	—
300	Q₈×C₁₃	—	8	4	no	—
301	D₄×C₁₃	—	2	2	no	—
302	D₄×C₁₃	—	2	2	no	—
303	D₄×C₁₃	—	4	4	no	—
304	D₄×C₁₃	—	4	4	no	—
305	D₄×C₁₃	—	8	2	no	—
306	C₂×C₄×C₁₃	—	2	2	no	—
307	C₂×C₄×C₁₃	—	2	4	no	—
308	C₂×C₄×C₁₃	—	2	2	no	—
309	C₂×C₄×C₁₃	—	2	2	no	—
310	C₂×C₄×C₁₃	—	2	1	no	—
311	C₂×C₄×C₁₃	—	2	1	no	—
312	C₂×C₄×C₁₃	—	2	1	no	—
313	C₂×C₄×C₁₃	—	2	1	no	—
314	C₂×C₄×C₁₃	—	2	2	no	—
315	C₂×C₄×C₁₃	—	2	2	no	—
316	C₂×C₄×C₁₃	—	2	4	no	—
317	C₂×C₄×C₁₃	—	2	2	no	—
318	C₂×C₄×C₁₃	—	2	4	no	—
319	C₂×C₄×C₁₃	—	4	2	no	—
320	C₂×C₄×C₁₃	—	4	4	no	—
321	C₂×C₄×C₁₃	—	4	4	no	—
322	C₂×C₄×C₁₃	—	8	4	no	—
323	C₂×C₄×C₁₃	—	8	2	no	—
324	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
325	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
326	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
327	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
328	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
329	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
330	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
331	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
332	C₈×C₁₃	—	2	1	no	—
333	C₈×C₁₃	—	2	1	no	—
334	C₈×C₁₃	—	2	1	no	—
335	C₈×C₁₃	—	2	1	no	—
336	C₈×C₁₃	—	2	4	no	—
337	C₂×#137	C₂²×C₁₃	1	2	yes	—
338	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
339	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
340	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
341	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic
342	#556	—	2	2	no	—
343	#554	—	2	2	no	—
344	#552	—	2	4	no	—
345	#552	—	2	2	no	—
346	#552	—	2	2	no	—
347	#551	—	2	4	no	—
348	#544	C₂²×C₁₃	1	2	yes	—
349	#542	C₂²×C₁₃	1	4	yes	—
350	#541	C₂²×C₁₃	1	4	yes	—
351	#536	C₂²×C₁₃	1	2	yes	—
352	#533	C₂²×C₁₃	1	4	yes	—
353	#529	C₂²×C₁₃	1	4	yes	—
354	#525	C₂²×C₁₃	1	2	yes	—
355	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
356	#520	C₂²×C₁₃	1	2	yes	—
357	#519	C₂²×C₁₃	1	2	yes	—
358	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
359	#479	C₂²×C₁₃	1	4	yes	complemented
360	#479	C₂²×C₁₃	1	4	yes	complemented
361	#479	C₂²×C₁₃	1	4	yes	complemented
362	#478	C₂²×C₁₃	1	4	yes	complemented
363	#477	C₂²×C₁₃	1	4	yes	complemented
364	#477	C₂²×C₁₃	1	4	yes	complemented
365	#475	C₂²×C₁₃	1	4	yes	complemented
366	#474	C₂²×C₁₃	1	4	yes	complemented
367	#470	C₂²×C₁₃	1	4	yes	—
368	#468	C₂²×C₁₃	1	4	yes	—
369	#467	C₂²×C₁₃	1	2	yes	—
370	#467	C₂²×C₁₃	1	4	yes	—
371	#467	C₂²×C₁₃	1	1	yes	characteristic
372	#467	C₂²×C₁₃	1	2	yes	—
373	#467	C₂²×C₁₃	1	2	yes	—
374	#467	C₂²×C₁₃	1	1	yes	characteristic
375	#467	C₂²×C₁₃	1	2	yes	—
376	#466	C₂²×C₁₃	1	1	yes	characteristic
377	#466	C₂²×C₁₃	1	1	yes	characteristic
378	#465	C₂²×C₁₃	1	2	yes	—
379	#465	C₂²×C₁₃	1	4	yes	—
380	#465	C₂²×C₁₃	1	2	yes	—
381	#464	C₂²×C₁₃	1	4	yes	complemented
382	#464	C₂²×C₁₃	1	4	yes	complemented
383	#464	C₂²×C₁₃	1	4	yes	complemented
384	#463	C₂²×C₁₃	1	4	yes	complemented
385	#462	C₂²×C₁₃	1	4	yes	complemented
386	#462	C₂²×C₁₃	1	4	yes	complemented
387	#462	C₂²×C₁₃	1	4	yes	complemented
388	#461	C₂²×C₁₃	1	4	yes	complemented
389	#428	C₂²×C₁₃	1	2	yes	—
390	#427	C₂²×C₁₃	1	1	yes	characteristic
391	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
392	#424	C₂²×C₁₃	1	2	yes	—
393	#424	C₂²×C₁₃	1	2	yes	—
394	#424	C₂²×C₁₃	1	2	yes	—
395	#424	C₂²×C₁₃	1	2	yes	—
396	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
397	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
398	#419	C₂²×C₁₃	1	2	yes	—
399	#417	C₂²×C₁₃	1	2	yes	—
400	#416	C₂²×C₁₃	1	2	yes	—
401	C₂×#103	C₂²×C₁₃	1	2	yes	—
402	C₂²×C₁₃	—	2	1	no	—
403	C₂²×C₁₃	—	2	1	no	—
404	C₂²×C₁₃	—	2	1	no	—
405	C₂²×C₁₃	—	2	1	no	—
406	C₂²×C₁₃	—	2	1	no	—
407	C₂²×C₁₃	—	2	1	no	—
408	C₂²×C₁₃	—	2	1	no	—
409	C₂²×C₁₃	—	4	4	no	—
410	C₂²×C₁₃	—	4	2	no	—
411	C₂²×C₁₃	—	4	2	no	—
412	C₂²×C₁₃	—	4	2	no	—
413	C₂²×C₁₃	#537	1	2	yes	—
414	C₂²×C₁₃	#578	1	2	yes	—
415	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
416	C₄×C₁₃	—	2	4	no	—
417	C₄×C₁₃	—	2	1	no	—
418	C₄×C₁₃	—	2	1	no	—
419	C₄×C₁₃	—	2	4	no	—
420	C₄×C₁₃	—	4	4	no	—
421	C₄×C₁₃	—	4	2	no	—
422	C₄×C₁₃	—	4	2	no	—
423	C₄×C₁₃	—	4	4	no	—
424	C₄×C₁₃	—	4	2	no	—
425	C₄×C₁₃	#537	1	2	yes	—
426	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
427	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
428	C₂×#41	C₂³×C₁₃	1	2	yes	—
429	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
430	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
431	#137	—	4	4	no	—
432	#135	—	4	2	no	—
433	C₂×Q₁₆	—	4	2	no	—
434	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
435	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
436	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
437	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
438	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
439	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
440	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
441	C₂×M₁₆	—	4	2	no	—
442	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
443	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
444	C₂²×C₈	—	4	2	no	—
445	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
446	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
447	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
448	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
449	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
450	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
451	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
452	C₄⋊Q₈	—	2	2	no	—
453	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
454	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
455	#126	—	2	4	no	—
456	#126	—	2	4	no	—
457	#126	—	2	4	no	—
458	#126	—	2	4	no	—
459	#125	—	2	4	no	—
460	#125	—	2	4	no	—
461	#125	—	2	2	no	—
462	#125	—	2	4	no	—
463	#125	C₂³×C₁₃	1	4	yes	—
464	#124	—	2	4	no	—
465	#124	C₂³×C₁₃	1	4	yes	—
466	#123	—	2	2	no	—
467	#123	—	2	4	no	—
468	#123	—	2	4	no	—
469	#123	—	2	4	no	—
470	C₂²⋊Q₈	—	2	2	no	—
471	C₂²⋊Q₈	—	2	2	no	—
472	C₂²⋊Q₈	—	2	4	no	—
473	C₂²⋊Q₈	—	2	2	no	—
474	C₂²⋊Q₈	—	2	2	no	—
475	C₂²⋊Q₈	—	2	4	no	—
476	C₂²⋊Q₈	—	2	4	no	—
477	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
478	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
479	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
480	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
481	#121	C₂³×C₁₃	1	2	yes	—
482	#121	C₂³×C₁₃	1	2	yes	—
483	#120	—	2	2	no	—
484	C₄×Q₈	—	2	2	no	—
485	C₄×Q₈	—	2	2	no	—
486	C₄×Q₈	—	2	4	no	—
487	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
488	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
489	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
490	C₄×D₄	—	2	2	no	—
491	C₄×D₄	—	2	2	no	—
492	C₄×D₄	—	2	4	no	—
493	C₄×D₄	—	2	4	no	—
494	C₄×D₄	C₂³×C₁₃	1	4	yes	—
495	#117	—	2	4	no	—
496	#117	—	2	2	no	—
497	#117	—	2	4	no	—
498	#117	—	2	4	no	—
499	#117	D₄×C₁₃	1	2	yes	—
500	#117	D₄×C₁₃	1	2	yes	—
501	#117	C₂³×C₁₃	1	2	yes	—
502	#117	C₂³×C₁₃	1	2	yes	—
503	#117	C₂³×C₁₃	1	2	yes	—
504	C₂×C₄⋊C₄	—	2	2	no	—
505	C₂×C₄⋊C₄	—	2	2	no	—
506	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
507	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
508	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
509	C₂×C₂²⋊C₄	—	2	2	no	—
510	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
511	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
512	#107	C₂³×C₁₃	1	2	yes	—
513	#107	C₂³×C₁₃	1	2	yes	—
514	#107	C₂³×C₁₃	1	1	yes	characteristic
515	#107	C₂³×C₁₃	1	1	yes	characteristic
516	#107	C₂³×C₁₃	1	4	yes	—
517	#106	C₂³×C₁₃	1	2	yes	—
518	#106	C₂³×C₁₃	1	4	yes	—
519	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
520	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
521	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
522	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
523	#103	C₂³×C₁₃	1	4	yes	—
524	#103	C₂³×C₁₃	1	4	yes	—
525	#103	C₂³×C₁₃	1	2	yes	—
526	#103	C₂³×C₁₃	1	2	yes	—
527	#103	C₂³×C₁₃	1	4	yes	—
528	#103	C₂³×C₁₃	1	4	yes	—
529	#103	C₂³×C₁₃	1	4	yes	—
530	#102	C₂³×C₁₃	1	2	yes	—
531	#102	C₂³×C₁₃	1	2	yes	—
532	#102	C₂³×C₁₃	1	4	yes	—
533	C₂×C₁₃	—	2	2	no	—
534	C₂×C₁₃	—	2	2	no	—
535	C₂×C₁₃	—	4	1	no	—
536	C₂×C₁₃	—	8	2	no	—
537	C₂×C₁₃	C₂×#537	1	1	yes	characteristic
538	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
539	C₂×C₁₃	#3584	1	1	yes	characteristic
540	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
541	#41	—	2	4	no	—
542	#41	—	2	4	no	—
543	C₂×Q₈	—	2	2	no	—
544	C₂×Q₈	—	2	4	no	—
545	C₂×Q₈	—	2	4	no	—
546	C₂×Q₈	—	2	4	no	—
547	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
548	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
549	C₂×D₄	—	2	2	no	—
550	C₂×D₄	—	2	2	no	—
551	C₂×D₄	—	2	2	no	—
552	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
553	C₂²×C₄	—	2	2	no	—
554	C₂²×C₄	—	2	2	no	—
555	C₂²×C₄	—	2	2	no	—
556	C₂²×C₄	—	2	2	no	—
557	C₂²×C₄	—	2	2	no	—
558	C₂²×C₄	—	2	4	no	—
559	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
560	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
561	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
562	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
563	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
564	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
565	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
566	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
567	Q₁₆	—	4	2	no	—
568	Q₁₆	—	4	2	no	—
569	Q₁₆	—	4	1	no	—
570	Q₁₆	—	4	4	no	—
571	SD₁₆	—	4	2	no	—
572	SD₁₆	—	4	4	no	—
573	D₈	—	4	1	no	—
574	M₁₆	—	2	4	no	—
575	M₁₆	—	4	2	no	—
576	C₂×C₈	—	2	2	no	—
577	C₂×C₈	—	2	2	no	—
578	C₂×C₈	—	4	1	no	—
579	C₂×C₈	—	4	1	no	—
580	C₂×C₈	—	4	1	no	—
581	C₂×C₈	—	4	1	no	—
582	C₂×C₈	—	4	2	no	—
583	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
584	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
585	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
586	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
587	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
588	C₄⋊C₄	—	2	2	no	—
589	C₄⋊C₄	—	2	4	no	—
590	C₄⋊C₄	—	2	4	no	—
591	C₄⋊C₄	—	2	4	no	—
592	C₄⋊C₄	—	2	4	no	—
593	C₄⋊C₄	—	2	4	no	—
594	C₄⋊C₄	—	2	4	no	—
595	C₄⋊C₄	—	2	4	no	—
596	C₄⋊C₄	—	2	4	no	—
597	C₄⋊C₄	—	2	2	no	—
598	C₄⋊C₄	—	2	4	no	—
599	C₄⋊C₄	—	2	2	no	—
600	C₄⋊C₄	—	2	4	no	—
601	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
602	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
603	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
604	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
605	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
606	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
607	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
608	C₂²⋊C₄	—	2	4	no	—
609	C₂²⋊C₄	—	2	4	no	—
610	C₂²⋊C₄	—	2	2	no	—
611	C₂²⋊C₄	—	2	2	no	—
612	C₂²⋊C₄	—	2	2	no	—
613	C₂²⋊C₄	—	2	2	no	—
614	C₂²⋊C₄	—	2	4	no	—
615	C₂²⋊C₄	—	2	4	no	—
616	C₂²⋊C₄	—	2	2	no	—
617	C₂²⋊C₄	—	2	4	no	—
618	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
619	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
620	C₄²	—	2	4	no	—
621	C₄²	—	2	4	no	—
622	C₄²	—	2	4	no	—
623	C₄²	—	2	2	no	—
624	C₄²	C₂×D₄×C₁₃	1	4	yes	—
625	C₄²	C₂⁴×C₁₃	1	4	yes	—
626	C₁₃	#60936	1	1	yes	characteristic, direct product factor, Sylow
627	C₂³	—	2	2	no	—
628	C₂³	—	2	2	no	—
629	C₂³	—	2	2	no	—
630	C₂³	—	4	1	no	—
631	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
632	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
633	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
634	Q₈	—	2	4	no	—
635	Q₈	—	2	2	no	—
636	Q₈	—	2	4	no	—
637	Q₈	—	2	2	no	—
638	Q₈	—	4	4	no	—
639	Q₈	—	8	4	no	—
640	D₄	—	2	2	no	—
641	D₄	—	2	2	no	—
642	D₄	—	4	4	no	—
643	D₄	—	4	4	no	—
644	D₄	—	8	2	no	—
645	C₂×C₄	—	2	2	no	—
646	C₂×C₄	—	2	4	no	—
647	C₂×C₄	—	2	2	no	—
648	C₂×C₄	—	2	2	no	—
649	C₂×C₄	—	2	1	no	—
650	C₂×C₄	—	2	1	no	—
651	C₂×C₄	—	2	1	no	—
652	C₂×C₄	—	2	1	no	—
653	C₂×C₄	—	2	2	no	—
654	C₂×C₄	—	2	2	no	—
655	C₂×C₄	—	2	4	no	—
656	C₂×C₄	—	2	2	no	—
657	C₂×C₄	—	2	4	no	—
658	C₂×C₄	—	4	2	no	—
659	C₂×C₄	—	4	4	no	—
660	C₂×C₄	—	4	4	no	—
661	C₂×C₄	—	8	4	no	—
662	C₂×C₄	—	8	2	no	—
663	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
664	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
665	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
666	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
667	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
668	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
669	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
670	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
671	C₈	—	2	1	no	—
672	C₈	—	2	1	no	—
673	C₈	—	2	1	no	—
674	C₈	—	2	1	no	—
675	C₈	—	2	4	no	—
676	C₂²	—	2	1	no	—
677	C₂²	—	2	1	no	—
678	C₂²	—	2	1	no	—
679	C₂²	—	2	1	no	—
680	C₂²	—	2	1	no	—
681	C₂²	—	2	1	no	—
682	C₂²	—	2	1	no	—
683	C₂²	—	4	4	no	—
684	C₂²	—	4	2	no	—
685	C₂²	—	4	2	no	—
686	C₂²	—	4	2	no	—
687	C₂²	C₁₃×#537	1	2	yes	—
688	C₂²	C₁₃×#578	1	2	yes	—
689	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
690	C₄	—	2	4	no	—
691	C₄	—	2	4	no	—
692	C₄	—	2	1	no	—
693	C₄	—	2	1	no	—
694	C₄	—	4	2	no	—
695	C₄	—	4	4	no	—
696	C₄	—	4	2	no	—
697	C₄	—	4	2	no	—
698	C₄	—	4	4	no	—
699	C₄	C₁₃×#537	1	2	yes	—
700	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
701	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
702	C₂	—	2	2	no	—
703	C₂	—	2	2	no	—
704	C₂	—	4	1	no	—
705	C₂	—	8	2	no	—
706	C₂	C₂×C₁₃×#537	1	1	yes	characteristic
707	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
708	C₂	C₁₃×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3050	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₁₃×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3495	C₂	semidirect
2. C₁₃×#3262	C₂	semidirect
3. C₁₃×#3261	C₂	semidirect
4. C₁₃×#3258	C₂	semidirect
5. C₁₃×#3250	C₂	semidirect
6. C₁₃×#3249	C₂	semidirect
7. C₁₃×#3248	C₂	semidirect
8. C₁₃×#3083	C₂	semidirect
9. C₁₃×#3082	C₂	semidirect
10. C₁₃×#3056	C₂	semidirect
12. C₂×C₁₃×#467	C₂	semidirect
13. C₁₃×#3046	C₂	semidirect
14. C₁₃×#3044	C₂	semidirect
15. C₂×C₁₃×#424	C₂	semidirect
38. C₁₃×#479	C₂²	semidirect
39. C₁₃×#479	C₂²	semidirect
40. C₁₃×#479	C₂²	semidirect
41. C₁₃×#478	C₂²	semidirect
42. C₁₃×#477	C₂²	semidirect
43. C₁₃×#477	C₂²	semidirect
44. C₁₃×#475	C₂²	semidirect
45. C₁₃×#474	C₂²	semidirect
60. C₁₃×#464	C₂²	semidirect
61. C₁₃×#464	C₂²	semidirect
62. C₁₃×#464	C₂²	semidirect
63. C₁₃×#463	C₂²	semidirect
64. C₁₃×#462	C₂²	semidirect
65. C₁₃×#462	C₂²	semidirect
66. C₁₃×#462	C₂²	semidirect
67. C₁₃×#461	C₂²	semidirect
186. #60936	C₁₃	direct (N × H)
273. #3495	C₂×C₁₃	semidirect
274. #3262	C₂×C₁₃	semidirect
275. #3261	C₂×C₁₃	semidirect
276. #3258	C₂×C₁₃	semidirect
277. #3250	C₂×C₁₃	semidirect
278. #3249	C₂×C₁₃	semidirect
279. #3248	C₂×C₁₃	semidirect
280. #3083	C₂×C₁₃	semidirect
281. #3082	C₂×C₁₃	semidirect
282. #3056	C₂×C₁₃	semidirect
284. C₂×#467	C₂×C₁₃	semidirect
285. #3046	C₂×C₁₃	semidirect
286. #3044	C₂×C₁₃	semidirect
287. C₂×#424	C₂×C₁₃	semidirect
359. #479	C₂²×C₁₃	semidirect
360. #479	C₂²×C₁₃	semidirect
361. #479	C₂²×C₁₃	semidirect
362. #478	C₂²×C₁₃	semidirect
363. #477	C₂²×C₁₃	semidirect
364. #477	C₂²×C₁₃	semidirect
365. #475	C₂²×C₁₃	semidirect
366. #474	C₂²×C₁₃	semidirect
381. #464	C₂²×C₁₃	semidirect
382. #464	C₂²×C₁₃	semidirect
383. #464	C₂²×C₁₃	semidirect
384. #463	C₂²×C₁₃	semidirect
385. #462	C₂²×C₁₃	semidirect
386. #462	C₂²×C₁₃	semidirect
387. #462	C₂²×C₁₃	semidirect
388. #461	C₂²×C₁₃	semidirect
626. C₁₃	#60936	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×#3495	2
C₁₃×#3262	2
C₁₃×#3261	2
C₁₃×#3258	2
C₁₃×#3250	2
C₁₃×#3249	2
C₁₃×#3248	2
C₁₃×#3083	2
C₁₃×#3082	2
C₁₃×#3056	2
C₁₃×#3050	2
C₂×C₁₃×#467	2
C₁₃×#3046	2
C₁₃×#3044	2
C₂×C₁₃×#424	2
#60936	13

Subgroups — C13×#60936 #15747275

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60936 #15747275