Subgroups — C₁₃×#61484 #15747823

Order 3328.

1750 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3523	C₂	1	2	yes	maximal
2	C₁₃×#3395	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3383	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3374	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3342	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3336	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3328	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3312	C₂	1	4	yes	maximal, complemented
9	D₄×C₁₃×Q₁₆	C₂	1	2	yes	maximal, complemented
10	D₄×C₁₃×Q₁₆	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×#3127	C₂	1	4	yes	maximal, complemented
14	C₁₃×#3113	C₂	1	2	yes	maximal, complemented
15	C₁₃×#2966	C₂	1	1	yes	maximal, characteristic
16	C₁₃×#2950	C₂	1	2	yes	maximal, complemented
17	C₂×C₄×C₁₃×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
19	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	—
20	C₁₃×#557	—	2	2	no	—
21	C₁₃×#557	C₂²	1	2	yes	—
22	C₁₃×#557	C₂²	1	2	yes	—
23	C₁₃×#556	—	2	2	no	—
24	C₁₃×#556	C₂²	1	2	yes	—
25	C₁₃×#552	—	2	4	no	—
26	C₁₃×#552	C₂²	1	4	yes	—
27	D₄×Q₈×C₁₃	C₂²	1	4	yes	—
28	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
29	C₁₃×#541	—	2	4	no	—
30	C₁₃×#541	C₂²	1	4	yes	—
31	C₁₃×#533	—	2	2	no	—
32	C₁₃×#533	C₂²	1	2	yes	—
33	C₁₃×#529	—	2	2	no	—
34	C₁₃×#529	C₂²	1	1	yes	characteristic
35	C₁₃×#519	C₂²	1	4	yes	—
36	C₂×C₄×Q₈×C₁₃	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×#485	C₂²	1	4	yes	—
45	C₁₃×#483	C₂²	1	4	yes	—
46	C₁₃×#479	C₂²	1	4	yes	—
47	C₁₃×#479	C₂²	1	4	yes	—
48	C₁₃×#475	C₂²	1	2	yes	—
49	C₁₃×#475	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	2	yes	—
56	C₁₃×#462	C₂²	1	4	yes	—
57	C₁₃×#462	C₂²	1	4	yes	—
58	C₁₃×#462	C₂²	1	2	yes	—
59	C₁₃×#451	C₂²	1	4	yes	—
60	C₁₃×#451	C₂²	1	4	yes	—
61	C₁₃×#451	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×#441	C₂²	1	4	yes	—
66	C₁₃×#441	C₂²	1	4	yes	—
67	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
68	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
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×Q₁₆	C₂²	1	2	yes	—
73	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
74	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
75	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
76	C₄×C₁₃×Q₁₆	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	2	yes	—
84	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
85	C₁₃×#419	C₂²	1	4	yes	—
86	C₂×C₁₃×#103	C₂²	1	2	yes	—
87	C₁₃×#405	C₂²	1	2	yes	—
88	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
89	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
90	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
91	C₂×C₁₃×Q₁₆	—	2	4	no	—
92	C₂×C₁₃×Q₁₆	—	2	8	no	—
93	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
94	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
95	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
96	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
97	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
98	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
99	C₂×C₁₃×Q₁₆	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	—	2	2	no	—
105	C₁₃×C₄⋊Q₈	—	2	2	no	—
106	C₁₃×C₄⋊Q₈	—	2	4	no	—
107	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
108	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
109	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
110	C₁₃×#126	—	2	4	no	—
111	C₁₃×#126	—	2	4	no	—
112	C₁₃×#126	—	2	4	no	—
113	C₁₃×#126	—	2	4	no	—
114	C₁₃×#126	D₄	1	2	yes	—
115	C₁₃×#125	—	2	2	no	—
116	C₁₃×#125	—	2	4	no	—
117	C₁₃×#125	—	2	4	no	—
118	C₁₃×#125	—	2	4	no	—
119	C₁₃×#125	—	2	4	no	—
120	C₁₃×#125	—	2	4	no	—
121	C₁₃×#125	—	2	2	no	—
122	C₁₃×#125	D₄	1	1	yes	characteristic
123	C₁₃×#125	C₂³	1	4	yes	—
124	C₁₃×#124	—	2	2	no	—
125	C₁₃×#124	D₄	1	1	yes	characteristic
126	C₁₃×#123	—	2	4	no	—
127	C₁₃×#123	D₄	1	2	yes	—
128	C₁₃×C₂²⋊Q₈	—	2	2	no	—
129	C₁₃×C₂²⋊Q₈	—	2	4	no	—
130	C₁₃×C₂²⋊Q₈	—	2	4	no	—
131	C₁₃×C₂²⋊Q₈	—	2	4	no	—
132	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
133	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
134	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
135	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
136	C₁₃×#121	D₄	1	1	yes	characteristic
137	C₄×Q₈×C₁₃	—	2	2	no	—
138	C₄×Q₈×C₁₃	—	2	4	no	—
139	C₄×Q₈×C₁₃	—	2	4	no	—
140	C₄×Q₈×C₁₃	—	2	2	no	—
141	C₄×Q₈×C₁₃	—	2	2	no	—
142	C₄×Q₈×C₁₃	—	2	2	no	—
143	C₄×Q₈×C₁₃	—	2	2	no	—
144	C₄×Q₈×C₁₃	—	2	2	no	—
145	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
146	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
147	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
148	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
149	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
150	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
151	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
152	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
153	C₄×D₄×C₁₃	—	2	4	no	—
154	C₄×D₄×C₁₃	—	2	2	no	—
155	C₄×D₄×C₁₃	C₂³	1	2	yes	—
156	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
157	C₁₃×#117	—	2	2	no	—
158	C₁₃×#117	—	2	4	no	—
159	C₁₃×#117	—	2	4	no	—
160	C₁₃×#117	—	2	4	no	—
161	C₁₃×#117	C₂³	1	4	yes	—
162	C₁₃×#117	C₂³	1	2	yes	—
163	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
164	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	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	1	yes	characteristic
169	C₁₃×#107	C₂³	1	2	yes	—
170	C₁₃×#107	C₂³	1	2	yes	—
171	C₁₃×#107	C₂³	1	2	yes	—
172	C₁₃×#106	C₂³	1	4	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	2	yes	—
181	C₁₃×#103	C₂³	1	2	yes	—
182	C₁₃×#103	C₂³	1	4	yes	—
183	C₁₃×#103	C₂³	1	4	yes	—
184	C₁₃×#103	C₂³	1	4	yes	—
185	C₁₃×#103	C₂³	1	4	yes	—
186	C₁₃×#103	C₂³	1	4	yes	—
187	C₁₃×#103	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	#61484	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
199	C₂×Q₈×C₁₃	—	2	2	no	—
200	C₂×Q₈×C₁₃	—	2	4	no	—
201	C₂×Q₈×C₁₃	—	2	2	no	—
202	C₂×Q₈×C₁₃	—	2	4	no	—
203	C₂×Q₈×C₁₃	—	2	8	no	—
204	C₂×Q₈×C₁₃	—	4	2	no	—
205	C₂×Q₈×C₁₃	—	4	4	no	—
206	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
207	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
208	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
209	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
210	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
211	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
212	C₂²×C₄×C₁₃	—	2	2	no	—
213	C₂²×C₄×C₁₃	—	2	2	no	—
214	C₂²×C₄×C₁₃	—	2	4	no	—
215	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
216	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
217	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
218	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
219	C₁₃×Q₁₆	—	2	4	no	—
220	C₁₃×Q₁₆	—	2	8	no	—
221	C₁₃×Q₁₆	—	2	2	no	—
222	C₁₃×Q₁₆	—	2	4	no	—
223	C₁₃×Q₁₆	—	4	2	no	—
224	C₁₃×Q₁₆	—	4	4	no	—
225	C₁₃×Q₁₆	#41	1	4	yes	—
226	C₁₃×M₁₆	—	4	2	no	—
227	C₂×C₈×C₁₃	—	2	2	no	—
228	C₂×C₈×C₁₃	—	2	4	no	—
229	C₂×C₈×C₁₃	—	4	1	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	1	yes	characteristic
233	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
234	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
235	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
236	C₁₃×C₄⋊C₄	—	2	2	no	—
237	C₁₃×C₄⋊C₄	—	2	2	no	—
238	C₁₃×C₄⋊C₄	—	2	2	no	—
239	C₁₃×C₄⋊C₄	—	2	2	no	—
240	C₁₃×C₄⋊C₄	—	2	2	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	—	2	2	no	—
249	C₁₃×C₄⋊C₄	—	2	4	no	—
250	C₁₃×C₄⋊C₄	—	2	4	no	—
251	C₁₃×C₄⋊C₄	—	2	4	no	—
252	C₁₃×C₄⋊C₄	—	2	4	no	—
253	C₁₃×C₄⋊C₄	—	2	4	no	—
254	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
255	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
256	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
257	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
258	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	4	no	—
266	C₁₃×C₂²⋊C₄	—	2	4	no	—
267	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
268	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
269	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
270	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
271	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
272	C₄²×C₁₃	—	2	2	no	—
273	C₄²×C₁₃	—	2	2	no	—
274	C₄²×C₁₃	—	2	2	no	—
275	C₄²×C₁₃	—	2	2	no	—
276	C₄²×C₁₃	—	2	4	no	—
277	C₄²×C₁₃	—	2	4	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	#3523	C₂×C₁₃	1	2	yes	—
286	#3395	C₂×C₁₃	1	1	yes	characteristic, complemented
287	#3383	C₂×C₁₃	1	1	yes	characteristic, complemented
288	#3374	C₂×C₁₃	1	2	yes	complemented
289	#3342	C₂×C₁₃	1	1	yes	characteristic, complemented
290	#3336	C₂×C₁₃	1	2	yes	complemented
291	#3328	C₂×C₁₃	1	2	yes	complemented
292	#3312	C₂×C₁₃	1	4	yes	complemented
293	D₄×Q₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
294	D₄×Q₁₆	C₂×C₁₃	1	2	yes	complemented
295	#3177	C₂×C₁₃	1	2	yes	complemented
296	#3170	C₂×C₁₃	1	1	yes	characteristic, complemented
297	#3127	C₂×C₁₃	1	4	yes	complemented
298	#3113	C₂×C₁₃	1	2	yes	complemented
299	#2966	C₂×C₁₃	1	1	yes	characteristic
300	#2950	C₂×C₁₃	1	2	yes	complemented
301	C₂×C₄×Q₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
302	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
303	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
304	Q₈×C₁₃	—	2	2	no	—
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	—	4	4	no	—
311	Q₈×C₁₃	—	4	8	no	—
312	Q₈×C₁₃	—	4	4	no	—
313	Q₈×C₁₃	C₂×#41	1	4	yes	—
314	D₄×C₁₃	—	2	4	no	—
315	D₄×C₁₃	—	2	2	no	—
316	C₂×C₄×C₁₃	—	2	2	no	—
317	C₂×C₄×C₁₃	—	2	2	no	—
318	C₂×C₄×C₁₃	—	2	2	no	—
319	C₂×C₄×C₁₃	—	2	1	no	—
320	C₂×C₄×C₁₃	—	2	2	no	—
321	C₂×C₄×C₁₃	—	2	1	no	—
322	C₂×C₄×C₁₃	—	2	2	no	—
323	C₂×C₄×C₁₃	—	2	2	no	—
324	C₂×C₄×C₁₃	—	2	4	no	—
325	C₂×C₄×C₁₃	—	2	2	no	—
326	C₂×C₄×C₁₃	—	2	2	no	—
327	C₂×C₄×C₁₃	—	2	4	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	C₂²×D₄	1	1	yes	characteristic
332	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
333	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
334	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
335	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
336	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
337	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
338	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
339	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
340	C₈×C₁₃	—	2	1	no	—
341	C₈×C₁₃	—	2	2	no	—
342	C₈×C₁₃	—	2	1	no	—
343	C₈×C₁₃	—	2	1	no	—
344	C₈×C₁₃	—	2	2	no	—
345	C₈×C₁₃	C₂×#41	1	2	yes	—
346	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
347	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	—
348	#557	—	2	2	no	—
349	#557	C₂²×C₁₃	1	2	yes	—
350	#557	C₂²×C₁₃	1	2	yes	—
351	#556	—	2	2	no	—
352	#556	C₂²×C₁₃	1	2	yes	—
353	#552	—	2	4	no	—
354	#552	C₂²×C₁₃	1	4	yes	—
355	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
356	D₄×Q₈	C₂²×C₁₃	1	4	yes	—
357	#541	—	2	4	no	—
358	#541	C₂²×C₁₃	1	4	yes	—
359	#533	—	2	2	no	—
360	#533	C₂²×C₁₃	1	2	yes	—
361	#529	—	2	2	no	—
362	#529	C₂²×C₁₃	1	1	yes	characteristic
363	#519	C₂²×C₁₃	1	4	yes	—
364	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
365	#500	C₂²×C₁₃	1	1	yes	characteristic
366	#499	C₂²×C₁₃	1	2	yes	—
367	#494	C₂²×C₁₃	1	1	yes	characteristic
368	#494	C₂²×C₁₃	1	2	yes	—
369	#491	C₂²×C₁₃	1	4	yes	—
370	#487	C₂²×C₁₃	1	2	yes	—
371	#485	C₂²×C₁₃	1	4	yes	—
372	#485	C₂²×C₁₃	1	4	yes	—
373	#483	C₂²×C₁₃	1	4	yes	—
374	#479	C₂²×C₁₃	1	4	yes	—
375	#479	C₂²×C₁₃	1	4	yes	—
376	#475	C₂²×C₁₃	1	2	yes	—
377	#475	C₂²×C₁₃	1	2	yes	—
378	#470	C₂²×C₁₃	1	4	yes	—
379	#467	C₂²×C₁₃	1	2	yes	—
380	#467	C₂²×C₁₃	1	2	yes	—
381	#467	C₂²×C₁₃	1	2	yes	—
382	#467	C₂²×C₁₃	1	2	yes	—
383	#462	C₂²×C₁₃	1	2	yes	—
384	#462	C₂²×C₁₃	1	2	yes	—
385	#462	C₂²×C₁₃	1	4	yes	—
386	#462	C₂²×C₁₃	1	4	yes	—
387	#451	C₂²×C₁₃	1	4	yes	—
388	#451	C₂²×C₁₃	1	4	yes	—
389	#451	C₂²×C₁₃	1	4	yes	—
390	#446	C₂²×C₁₃	1	1	yes	characteristic
391	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
392	#441	C₂²×C₁₃	1	4	yes	—
393	#441	C₂²×C₁₃	1	4	yes	—
394	#441	C₂²×C₁₃	1	4	yes	—
395	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
396	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
397	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
398	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
399	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
400	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
401	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
402	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
403	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
404	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
405	#436	C₂²×C₁₃	1	1	yes	characteristic
406	#435	C₂²×C₁₃	1	2	yes	—
407	C₈×D₄	C₂²×C₁₃	1	2	yes	—
408	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
409	#433	C₂²×C₁₃	1	2	yes	—
410	#432	C₂²×C₁₃	1	1	yes	characteristic
411	#427	C₂²×C₁₃	1	2	yes	—
412	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
413	#419	C₂²×C₁₃	1	4	yes	—
414	C₂×#103	C₂²×C₁₃	1	2	yes	—
415	#405	C₂²×C₁₃	1	2	yes	—
416	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
417	C₂²×C₁₃	—	2	1	no	—
418	C₂²×C₁₃	—	2	1	no	—
419	C₂²×C₁₃	—	2	2	no	—
420	C₂²×C₁₃	—	2	2	no	—
421	C₂²×C₁₃	—	2	2	no	—
422	C₂²×C₁₃	#578	1	2	yes	—
423	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
424	C₄×C₁₃	—	2	1	no	—
425	C₄×C₁₃	—	2	2	no	—
426	C₄×C₁₃	—	2	4	no	—
427	C₄×C₁₃	—	2	1	no	—
428	C₄×C₁₃	—	2	1	no	—
429	C₄×C₁₃	—	2	1	no	—
430	C₄×C₁₃	—	2	2	no	—
431	C₄×C₁₃	—	2	2	no	—
432	C₄×C₁₃	—	4	2	no	—
433	C₄×C₁₃	—	4	4	no	—
434	C₄×C₁₃	—	4	2	no	—
435	C₄×C₁₃	—	4	2	no	—
436	C₄×C₁₃	—	4	4	no	—
437	C₄×C₁₃	#578	1	2	yes	—
438	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
439	C₄×C₁₃	#585	1	1	yes	characteristic
440	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
441	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
442	C₂×Q₁₆	—	2	4	no	—
443	C₂×Q₁₆	—	2	8	no	—
444	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
445	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
446	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
447	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
448	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
449	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
450	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
451	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
452	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
453	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
454	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
455	C₄⋊Q₈	—	2	2	no	—
456	C₄⋊Q₈	—	2	2	no	—
457	C₄⋊Q₈	—	2	4	no	—
458	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
459	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
460	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
461	#126	—	2	4	no	—
462	#126	—	2	4	no	—
463	#126	—	2	4	no	—
464	#126	—	2	4	no	—
465	#126	D₄×C₁₃	1	2	yes	—
466	#125	—	2	2	no	—
467	#125	—	2	4	no	—
468	#125	—	2	4	no	—
469	#125	—	2	4	no	—
470	#125	—	2	4	no	—
471	#125	—	2	4	no	—
472	#125	—	2	2	no	—
473	#125	D₄×C₁₃	1	1	yes	characteristic
474	#125	C₂³×C₁₃	1	4	yes	—
475	#124	—	2	2	no	—
476	#124	D₄×C₁₃	1	1	yes	characteristic
477	#123	—	2	4	no	—
478	#123	D₄×C₁₃	1	2	yes	—
479	C₂²⋊Q₈	—	2	2	no	—
480	C₂²⋊Q₈	—	2	4	no	—
481	C₂²⋊Q₈	—	2	4	no	—
482	C₂²⋊Q₈	—	2	4	no	—
483	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
484	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
485	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
486	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
487	#121	D₄×C₁₃	1	1	yes	characteristic
488	C₄×Q₈	—	2	2	no	—
489	C₄×Q₈	—	2	4	no	—
490	C₄×Q₈	—	2	4	no	—
491	C₄×Q₈	—	2	2	no	—
492	C₄×Q₈	—	2	2	no	—
493	C₄×Q₈	—	2	2	no	—
494	C₄×Q₈	—	2	2	no	—
495	C₄×Q₈	—	2	2	no	—
496	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
497	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
498	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
499	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
500	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
501	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
502	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
503	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
504	C₄×D₄	—	2	4	no	—
505	C₄×D₄	—	2	2	no	—
506	C₄×D₄	C₂³×C₁₃	1	2	yes	—
507	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
508	#117	—	2	2	no	—
509	#117	—	2	4	no	—
510	#117	—	2	4	no	—
511	#117	—	2	4	no	—
512	#117	C₂³×C₁₃	1	4	yes	—
513	#117	C₂³×C₁₃	1	2	yes	—
514	C₂×C₄⋊C₄	—	2	2	no	—
515	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
516	C₂×C₄²	—	2	2	no	—
517	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
518	#107	C₂³×C₁₃	1	1	yes	characteristic
519	#107	C₂³×C₁₃	1	1	yes	characteristic
520	#107	C₂³×C₁₃	1	2	yes	—
521	#107	C₂³×C₁₃	1	2	yes	—
522	#107	C₂³×C₁₃	1	2	yes	—
523	#106	C₂³×C₁₃	1	4	yes	—
524	#106	C₂³×C₁₃	1	4	yes	—
525	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
526	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
527	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
528	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
529	#103	C₂³×C₁₃	1	2	yes	—
530	#103	C₂³×C₁₃	1	2	yes	—
531	#103	C₂³×C₁₃	1	2	yes	—
532	#103	C₂³×C₁₃	1	2	yes	—
533	#103	C₂³×C₁₃	1	4	yes	—
534	#103	C₂³×C₁₃	1	4	yes	—
535	#103	C₂³×C₁₃	1	4	yes	—
536	#103	C₂³×C₁₃	1	4	yes	—
537	#103	C₂³×C₁₃	1	4	yes	—
538	#103	C₂³×C₁₃	1	4	yes	—
539	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
540	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
541	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
542	#97	C₂³×C₁₃	1	2	yes	—
543	#97	C₂³×C₁₃	1	2	yes	—
544	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
545	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
546	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
547	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
548	C₄×C₈	C₂³×C₁₃	1	2	yes	—
549	C₂×C₁₃	—	2	2	no	—
550	C₂×C₁₃	—	4	2	no	—
551	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
552	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
553	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
554	C₂×Q₈	—	2	2	no	—
555	C₂×Q₈	—	2	4	no	—
556	C₂×Q₈	—	2	2	no	—
557	C₂×Q₈	—	2	4	no	—
558	C₂×Q₈	—	2	8	no	—
559	C₂×Q₈	—	4	2	no	—
560	C₂×Q₈	—	4	4	no	—
561	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
562	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
563	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
564	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
565	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
566	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
567	C₂²×C₄	—	2	2	no	—
568	C₂²×C₄	—	2	2	no	—
569	C₂²×C₄	—	2	4	no	—
570	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
571	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
572	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
573	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
574	Q₁₆	—	2	4	no	—
575	Q₁₆	—	2	8	no	—
576	Q₁₆	—	2	2	no	—
577	Q₁₆	—	2	4	no	—
578	Q₁₆	—	4	2	no	—
579	Q₁₆	—	4	4	no	—
580	Q₁₆	C₁₃×#41	1	4	yes	—
581	M₁₆	—	4	2	no	—
582	C₂×C₈	—	2	2	no	—
583	C₂×C₈	—	2	4	no	—
584	C₂×C₈	—	4	1	no	—
585	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
586	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
587	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
588	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
589	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
590	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
591	C₄⋊C₄	—	2	2	no	—
592	C₄⋊C₄	—	2	2	no	—
593	C₄⋊C₄	—	2	2	no	—
594	C₄⋊C₄	—	2	2	no	—
595	C₄⋊C₄	—	2	2	no	—
596	C₄⋊C₄	—	2	4	no	—
597	C₄⋊C₄	—	2	4	no	—
598	C₄⋊C₄	—	2	4	no	—
599	C₄⋊C₄	—	2	2	no	—
600	C₄⋊C₄	—	2	4	no	—
601	C₄⋊C₄	—	2	2	no	—
602	C₄⋊C₄	—	2	4	no	—
603	C₄⋊C₄	—	2	2	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	C₂×D₄×C₁₃	1	2	yes	—
610	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
611	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
612	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
613	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
614	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
615	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
616	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
617	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
618	C₂²⋊C₄	—	2	4	no	—
619	C₂²⋊C₄	—	2	4	no	—
620	C₂²⋊C₄	—	2	4	no	—
621	C₂²⋊C₄	—	2	4	no	—
622	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
623	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
624	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
625	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
626	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
627	C₄²	—	2	2	no	—
628	C₄²	—	2	2	no	—
629	C₄²	—	2	2	no	—
630	C₄²	—	2	2	no	—
631	C₄²	—	2	4	no	—
632	C₄²	—	2	4	no	—
633	C₄²	—	2	4	no	—
634	C₄²	—	2	4	no	—
635	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
636	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
637	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
638	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
639	C₄²	C₂⁴×C₁₃	1	2	yes	—
640	C₁₃	#61484	1	1	yes	characteristic, direct product factor, Sylow
641	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
642	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
643	Q₈	—	2	2	no	—
644	Q₈	—	2	2	no	—
645	Q₈	—	2	2	no	—
646	Q₈	—	2	4	no	—
647	Q₈	—	2	4	no	—
648	Q₈	—	2	2	no	—
649	Q₈	—	4	4	no	—
650	Q₈	—	4	8	no	—
651	Q₈	—	4	4	no	—
652	Q₈	C₂×C₁₃×#41	1	4	yes	—
653	D₄	—	2	4	no	—
654	D₄	—	2	2	no	—
655	C₂×C₄	—	2	2	no	—
656	C₂×C₄	—	2	2	no	—
657	C₂×C₄	—	2	2	no	—
658	C₂×C₄	—	2	1	no	—
659	C₂×C₄	—	2	2	no	—
660	C₂×C₄	—	2	1	no	—
661	C₂×C₄	—	2	2	no	—
662	C₂×C₄	—	2	2	no	—
663	C₂×C₄	—	2	4	no	—
664	C₂×C₄	—	2	2	no	—
665	C₂×C₄	—	2	2	no	—
666	C₂×C₄	—	2	4	no	—
667	C₂×C₄	—	4	4	no	—
668	C₂×C₄	—	4	8	no	—
669	C₂×C₄	—	4	4	no	—
670	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
671	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
672	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
673	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
674	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
675	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
676	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
677	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
678	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
679	C₈	—	2	1	no	—
680	C₈	—	2	2	no	—
681	C₈	—	2	1	no	—
682	C₈	—	2	1	no	—
683	C₈	—	2	2	no	—
684	C₈	C₂×C₁₃×#41	1	2	yes	—
685	C₂²	—	2	1	no	—
686	C₂²	—	2	1	no	—
687	C₂²	—	2	2	no	—
688	C₂²	—	2	2	no	—
689	C₂²	—	2	2	no	—
690	C₂²	C₁₃×#578	1	2	yes	—
691	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
692	C₄	—	2	1	no	—
693	C₄	—	2	1	no	—
694	C₄	—	2	1	no	—
695	C₄	—	2	2	no	—
696	C₄	—	2	2	no	—
697	C₄	—	2	1	no	—
698	C₄	—	2	2	no	—
699	C₄	—	2	4	no	—
700	C₄	—	4	2	no	—
701	C₄	—	4	2	no	—
702	C₄	—	4	4	no	—
703	C₄	—	4	2	no	—
704	C₄	—	4	4	no	—
705	C₄	C₁₃×#578	1	2	yes	—
706	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
707	C₄	C₁₃×#585	1	1	yes	characteristic
708	C₂	—	2	2	no	—
709	C₂	—	4	2	no	—
710	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
711	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
712	C₂	C₂×C₁₃×#578	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#121	D₄
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
2. C₁₃×#3395	C₂	semidirect
3. C₁₃×#3383	C₂	semidirect
4. C₁₃×#3374	C₂	semidirect
5. C₁₃×#3342	C₂	semidirect
6. C₁₃×#3336	C₂	semidirect
7. C₁₃×#3328	C₂	semidirect
8. C₁₃×#3312	C₂	semidirect
9. D₄×C₁₃×Q₁₆	C₂	semidirect
10. D₄×C₁₃×Q₁₆	C₂	semidirect
11. C₁₃×#3177	C₂	semidirect
12. C₁₃×#3170	C₂	semidirect
13. C₁₃×#3127	C₂	semidirect
14. C₁₃×#3113	C₂	semidirect
16. C₁₃×#2950	C₂	semidirect
17. C₂×C₄×C₁₃×Q₁₆	C₂	semidirect
198. #61484	C₁₃	direct (N × H)
286. #3395	C₂×C₁₃	semidirect
287. #3383	C₂×C₁₃	semidirect
288. #3374	C₂×C₁₃	semidirect
289. #3342	C₂×C₁₃	semidirect
290. #3336	C₂×C₁₃	semidirect
291. #3328	C₂×C₁₃	semidirect
292. #3312	C₂×C₁₃	semidirect
293. D₄×Q₁₆	C₂×C₁₃	semidirect
294. D₄×Q₁₆	C₂×C₁₃	semidirect
295. #3177	C₂×C₁₃	semidirect
296. #3170	C₂×C₁₃	semidirect
297. #3127	C₂×C₁₃	semidirect
298. #3113	C₂×C₁₃	semidirect
300. #2950	C₂×C₁₃	semidirect
301. C₂×C₄×Q₁₆	C₂×C₁₃	semidirect
640. C₁₃	#61484	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×#3523	2
C₁₃×#3395	2
C₁₃×#3383	2
C₁₃×#3374	2
C₁₃×#3342	2
C₁₃×#3336	2
C₁₃×#3328	2
C₁₃×#3312	2
D₄×C₁₃×Q₁₆	2
C₁₃×#3177	2
C₁₃×#3170	2
C₁₃×#3127	2
C₁₃×#3113	2
C₁₃×#2966	2
C₁₃×#2950	2
C₂×C₄×C₁₃×Q₁₆	2
#61484	13

Subgroups — C13×#61484 #15747823

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61484 #15747823