Subgroups — C₁₃×#17547 #15703886

Order 3328.

1166 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3519	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2974	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2275	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#1509	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#1507	C₂	1	2	yes	maximal, complemented
6	C₁₃×#1505	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#1504	C₂	1	2	yes	maximal, complemented
8	C₁₃×#1502	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#1501	C₂	1	2	yes	maximal, complemented
10	C₁₃×#1500	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₁₃×#327	C₂	1	2	yes	maximal, complemented
12	C₁₃×#555	C₄	1	1	yes	characteristic, complemented
13	C₁₃×#554	C₄	1	1	yes	characteristic, complemented
14	C₁₃×#553	—	2	1	no	—
15	C₁₃×#553	C₄	1	2	yes	complemented
16	C₁₃×#550	C₄	1	1	yes	characteristic, complemented
17	C₁₃×#546	—	2	2	no	—
18	C₁₃×#546	C₄	1	2	yes	complemented
19	D₄²×C₁₃	—	2	1	no	—
20	D₄²×C₁₃	C₄	1	1	yes	characteristic, complemented
21	C₁₃×#540	—	2	1	no	—
22	C₁₃×#538	—	2	2	no	—
23	C₁₃×#532	C₂²	1	1	yes	characteristic
24	C₁₃×#529	C₂²	1	1	yes	characteristic
25	C₁₃×#525	C₂²	1	2	yes	—
26	C₂×C₁₃×#121	C₂²	1	2	yes	—
27	C₁₃×#518	—	2	1	no	—
28	C₂×C₄×D₄×C₁₃	—	2	1	no	—
29	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
30	C₁₃×#436	—	2	1	no	—
31	C₁₃×#435	—	2	2	no	—
32	C₈×D₄×C₁₃	—	2	1	no	—
33	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#407	C₂²	1	2	yes	complemented
36	C₂×C₁₃×C₂²⋊C₈	C₂²	1	2	yes	complemented
37	C₄×C₁₃×C₄⋊C₄	—	2	1	no	—
38	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
39	C₄×C₁₃×C₂²⋊C₄	—	2	2	no	—
40	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
41	C₁₃×#376	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₁₃×#95	C₂²	1	2	yes	complemented
43	C₁₃×#328	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#328	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#328	C₂²	1	2	yes	complemented
46	C₁₃×#327	C₂²	1	1	yes	characteristic
47	C₁₃×#327	C₂²	1	2	yes	—
48	C₁₃×#327	C₂²	1	1	yes	characteristic
49	C₁₃×#327	C₂²	1	2	yes	complemented
50	C₁₃×#327	C₂²	1	2	yes	complemented
51	C₁₃×#327	C₂²	1	2	yes	complemented
52	C₁₃×#327	C₂²	1	2	yes	complemented
53	C₂×C₁₃×#41	—	2	1	no	—
54	C₂×C₁₃×#41	C₂×C₄	1	2	yes	complemented
55	C₂²×D₄×C₁₃	—	2	2	no	—
56	C₂²×D₄×C₁₃	—	2	1	no	—
57	C₂²×D₄×C₁₃	C₂×C₄	1	2	yes	complemented
58	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
59	C₂³×C₄×C₁₃	—	2	2	no	—
60	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
61	C₂×C₁₃×M₁₆	—	2	2	no	—
62	C₂²×C₈×C₁₃	—	2	2	no	—
63	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
64	C₁₃×#127	—	2	1	no	—
65	C₁₃×#127	C₂×C₄	1	1	yes	characteristic, complemented
66	C₁₃×#126	—	2	2	no	—
67	C₁₃×#126	—	2	1	no	—
68	C₁₃×#125	—	2	1	no	—
69	C₁₃×#125	C₂×C₄	1	1	yes	characteristic, complemented
70	C₁₃×#124	—	2	2	no	—
71	C₁₃×#124	—	2	1	no	—
72	C₁₃×#124	C₂×C₄	1	1	yes	characteristic, complemented
73	C₁₃×#123	—	2	2	no	—
74	C₁₃×#123	—	2	1	no	—
75	C₁₃×#123	—	2	2	no	—
76	C₁₃×#123	—	2	2	no	—
77	C₁₃×C₂²⋊Q₈	—	2	2	no	—
78	C₁₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	complemented
79	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
80	C₁₃×#121	—	2	2	no	—
81	C₁₃×#121	—	2	1	no	—
82	C₁₃×#121	—	2	2	no	—
83	C₁₃×#121	—	2	2	no	—
84	C₁₃×#121	—	2	1	no	—
85	C₁₃×#121	—	2	1	no	—
86	C₁₃×#121	—	2	2	no	—
87	C₁₃×#121	—	2	2	no	—
88	C₁₃×#121	C₂×C₄	1	2	yes	complemented
89	C₁₃×#121	C₂×C₄	1	2	yes	complemented
90	C₁₃×#121	C₂×C₄	1	2	yes	complemented
91	C₁₃×#121	C₂³	1	1	yes	characteristic
92	C₁₃×#121	C₂³	1	2	yes	—
93	C₁₃×#120	—	2	2	no	—
94	C₁₃×#120	—	2	2	no	—
95	C₁₃×#120	—	2	2	no	—
96	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic, complemented
97	C₄×D₄×C₁₃	—	2	8	no	—
98	C₄×D₄×C₁₃	—	2	1	no	—
99	C₄×D₄×C₁₃	—	2	2	no	—
100	C₄×D₄×C₁₃	—	2	2	no	—
101	C₄×D₄×C₁₃	—	2	1	no	—
102	C₄×D₄×C₁₃	—	2	1	no	—
103	C₄×D₄×C₁₃	—	2	2	no	—
104	C₄×D₄×C₁₃	—	2	1	no	—
105	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
106	C₄×D₄×C₁₃	C₂×C₄	1	2	yes	—
107	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
108	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic, complemented
109	C₄×D₄×C₁₃	C₂×C₄	1	2	yes	complemented
110	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
111	C₄×D₄×C₁₃	D₄	1	2	yes	—
112	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
113	C₁₃×#117	—	2	1	no	—
114	C₁₃×#117	—	2	1	no	—
115	C₁₃×#117	C₂×C₄	1	2	yes	complemented
116	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
117	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	2	yes	complemented
118	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
119	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
120	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
121	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
122	C₂×C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
123	C₂×C₄²×C₁₃	—	2	1	no	—
124	C₂×C₄²×C₁₃	—	2	1	no	—
125	C₂×C₄²×C₁₃	—	2	2	no	—
126	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
127	C₁₃×C₄⋊C₈	—	2	1	no	—
128	C₁₃×C₄⋊C₈	—	2	1	no	—
129	C₁₃×C₂²⋊C₈	—	2	2	no	—
130	C₁₃×C₂²⋊C₈	—	2	2	no	—
131	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
132	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
133	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
134	C₁₃×#97	—	2	1	no	—
135	C₄×C₈×C₁₃	—	2	1	no	—
136	C₁₃×#95	—	2	1	no	—
137	C₁₃×#95	—	2	2	no	—
138	C₁₃×#95	C₂³	1	1	yes	characteristic
139	C₁₃×#95	C₂³	1	2	yes	—
140	C₁₃×#95	C₂³	1	1	yes	characteristic
141	#17547	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
142	C₂⁴×C₁₃	—	2	2	no	—
143	C₂⁴×C₁₃	C₂×D₄	1	2	yes	—
144	C₁₃×#41	—	8	1	no	—
145	C₁₃×#41	—	8	1	no	—
146	C₁₃×#41	—	8	2	no	—
147	C₂×Q₈×C₁₃	—	2	1	no	—
148	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
149	C₂×D₄×C₁₃	—	2	4	no	—
150	C₂×D₄×C₁₃	—	2	2	no	—
151	C₂×D₄×C₁₃	—	2	2	no	—
152	C₂×D₄×C₁₃	—	2	1	no	—
153	C₂×D₄×C₁₃	—	2	2	no	—
154	C₂×D₄×C₁₃	—	2	2	no	—
155	C₂×D₄×C₁₃	—	2	2	no	—
156	C₂×D₄×C₁₃	—	2	1	no	—
157	C₂×D₄×C₁₃	—	2	1	no	—
158	C₂×D₄×C₁₃	—	2	2	no	—
159	C₂×D₄×C₁₃	—	4	4	no	—
160	C₂×D₄×C₁₃	—	8	2	no	—
161	C₂×D₄×C₁₃	—	8	2	no	—
162	C₂×D₄×C₁₃	—	8	2	no	—
163	C₂×D₄×C₁₃	C₂²⋊C₄	1	2	yes	—
164	C₂×D₄×C₁₃	C₂²⋊C₄	1	1	yes	characteristic
165	C₂×D₄×C₁₃	C₂²⋊C₄	1	1	yes	characteristic
166	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
167	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
168	C₂²×C₄×C₁₃	—	2	1	no	—
169	C₂²×C₄×C₁₃	—	2	1	no	—
170	C₂²×C₄×C₁₃	—	2	2	no	—
171	C₂²×C₄×C₁₃	—	2	8	no	—
172	C₂²×C₄×C₁₃	—	2	2	no	—
173	C₂²×C₄×C₁₃	—	2	1	no	—
174	C₂²×C₄×C₁₃	—	2	2	no	—
175	C₂²×C₄×C₁₃	—	2	2	no	—
176	C₂²×C₄×C₁₃	—	8	2	no	—
177	C₂²×C₄×C₁₃	—	8	2	no	—
178	C₂²×C₄×C₁₃	—	8	2	no	—
179	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
180	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
181	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
182	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
183	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
184	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
185	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
186	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
187	C₁₃×M₁₆	—	8	2	no	—
188	C₂×C₈×C₁₃	—	2	1	no	—
189	C₂×C₈×C₁₃	—	2	1	no	—
190	C₂×C₈×C₁₃	—	2	2	no	—
191	C₂×C₈×C₁₃	—	8	2	no	—
192	C₁₃×C₄⋊C₄	—	2	4	no	—
193	C₁₃×C₄⋊C₄	—	2	2	no	—
194	C₁₃×C₄⋊C₄	—	2	1	no	—
195	C₁₃×C₄⋊C₄	—	2	1	no	—
196	C₁₃×C₄⋊C₄	—	2	1	no	—
197	C₁₃×C₄⋊C₄	—	2	2	no	—
198	C₁₃×C₄⋊C₄	—	2	1	no	—
199	C₁₃×C₄⋊C₄	—	2	1	no	—
200	C₁₃×C₄⋊C₄	C₂²⋊C₄	1	1	yes	characteristic
201	C₁₃×C₄⋊C₄	C₂²⋊C₄	1	1	yes	characteristic
202	C₁₃×C₄⋊C₄	C₂²⋊C₄	1	2	yes	—
203	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
204	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
205	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
206	C₁₃×C₂²⋊C₄	—	2	8	no	—
207	C₁₃×C₂²⋊C₄	—	2	2	no	—
208	C₁₃×C₂²⋊C₄	—	2	2	no	—
209	C₁₃×C₂²⋊C₄	—	2	1	no	—
210	C₁₃×C₂²⋊C₄	—	2	1	no	—
211	C₁₃×C₂²⋊C₄	—	2	2	no	—
212	C₁₃×C₂²⋊C₄	—	2	2	no	—
213	C₁₃×C₂²⋊C₄	—	2	1	no	—
214	C₁₃×C₂²⋊C₄	—	2	2	no	—
215	C₁₃×C₂²⋊C₄	—	2	1	no	—
216	C₁₃×C₂²⋊C₄	—	2	2	no	—
217	C₁₃×C₂²⋊C₄	—	2	1	no	—
218	C₁₃×C₂²⋊C₄	—	2	2	no	—
219	C₁₃×C₂²⋊C₄	C₂²⋊C₄	1	2	yes	—
220	C₁₃×C₂²⋊C₄	C₂²⋊C₄	1	2	yes	—
221	C₁₃×C₂²⋊C₄	C₂²⋊C₄	1	2	yes	—
222	C₁₃×C₂²⋊C₄	C₂²⋊C₄	1	2	yes	—
223	C₄²×C₁₃	—	2	4	no	—
224	C₄²×C₁₃	—	2	2	no	—
225	C₄²×C₁₃	—	2	1	no	—
226	C₄²×C₁₃	—	8	1	no	—
227	C₄²×C₁₃	—	8	2	no	—
228	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
229	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
230	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
231	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
232	#3519	C₂×C₁₃	1	1	yes	characteristic
233	#2974	C₂×C₁₃	1	1	yes	characteristic, complemented
234	#2275	C₂×C₁₃	1	1	yes	characteristic, complemented
235	#1509	C₂×C₁₃	1	1	yes	characteristic, complemented
236	#1507	C₂×C₁₃	1	2	yes	complemented
237	#1505	C₂×C₁₃	1	1	yes	characteristic, complemented
238	#1504	C₂×C₁₃	1	2	yes	complemented
239	#1502	C₂×C₁₃	1	1	yes	characteristic, complemented
240	#1501	C₂×C₁₃	1	2	yes	complemented
241	#1500	C₂×C₁₃	1	1	yes	characteristic, complemented
242	C₂×#327	C₂×C₁₃	1	2	yes	complemented
243	C₂³×C₁₃	—	2	2	no	—
244	C₂³×C₁₃	—	2	2	no	—
245	C₂³×C₁₃	—	2	4	no	—
246	C₂³×C₁₃	—	2	1	no	—
247	C₂³×C₁₃	—	2	2	no	—
248	C₂³×C₁₃	—	4	2	no	—
249	C₂³×C₁₃	—	4	4	no	—
250	C₂³×C₁₃	—	8	2	no	—
251	C₂³×C₁₃	—	8	2	no	—
252	C₂³×C₁₃	C₂×C₂²⋊C₄	1	2	yes	—
253	C₂³×C₁₃	C₂×C₂²⋊C₄	1	2	yes	—
254	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
255	Q₈×C₁₃	—	4	1	no	—
256	Q₈×C₁₃	—	8	1	no	—
257	D₄×C₁₃	—	2	4	no	—
258	D₄×C₁₃	—	2	2	no	—
259	D₄×C₁₃	—	4	1	no	—
260	D₄×C₁₃	—	4	2	no	—
261	D₄×C₁₃	—	4	1	no	—
262	D₄×C₁₃	—	4	2	no	—
263	D₄×C₁₃	—	4	1	no	—
264	D₄×C₁₃	—	4	2	no	—
265	D₄×C₁₃	—	4	4	no	—
266	D₄×C₁₃	—	4	2	no	—
267	D₄×C₁₃	—	8	2	no	—
268	D₄×C₁₃	—	8	1	no	—
269	D₄×C₁₃	—	8	2	no	—
270	D₄×C₁₃	—	8	2	no	—
271	D₄×C₁₃	—	8	2	no	—
272	D₄×C₁₃	#104	1	4	yes	—
273	C₂×C₄×C₁₃	—	2	1	no	—
274	C₂×C₄×C₁₃	—	2	1	no	—
275	C₂×C₄×C₁₃	—	2	2	no	—
276	C₂×C₄×C₁₃	—	2	2	no	—
277	C₂×C₄×C₁₃	—	2	2	no	—
278	C₂×C₄×C₁₃	—	2	4	no	—
279	C₂×C₄×C₁₃	—	2	1	no	—
280	C₂×C₄×C₁₃	—	2	1	no	—
281	C₂×C₄×C₁₃	—	2	2	no	—
282	C₂×C₄×C₁₃	—	2	1	no	—
283	C₂×C₄×C₁₃	—	4	2	no	—
284	C₂×C₄×C₁₃	—	4	2	no	—
285	C₂×C₄×C₁₃	—	4	2	no	—
286	C₂×C₄×C₁₃	—	4	1	no	—
287	C₂×C₄×C₁₃	—	4	2	no	—
288	C₂×C₄×C₁₃	—	4	2	no	—
289	C₂×C₄×C₁₃	—	4	1	no	—
290	C₂×C₄×C₁₃	—	4	2	no	—
291	C₂×C₄×C₁₃	—	4	1	no	—
292	C₂×C₄×C₁₃	—	4	2	no	—
293	C₂×C₄×C₁₃	—	4	1	no	—
294	C₂×C₄×C₁₃	—	4	1	no	—
295	C₂×C₄×C₁₃	—	4	2	no	—
296	C₂×C₄×C₁₃	—	8	2	no	—
297	C₂×C₄×C₁₃	—	8	2	no	—
298	C₂×C₄×C₁₃	—	8	2	no	—
299	C₂×C₄×C₁₃	—	8	8	no	—
300	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	2	yes	—
301	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
302	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
303	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
304	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	2	yes	—
305	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
306	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
307	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
308	C₈×C₁₃	—	4	1	no	—
309	C₈×C₁₃	—	4	2	no	—
310	C₈×C₁₃	—	4	1	no	—
311	#555	C₄×C₁₃	1	1	yes	characteristic, complemented
312	#554	C₄×C₁₃	1	1	yes	characteristic, complemented
313	#553	—	2	1	no	—
314	#553	C₄×C₁₃	1	2	yes	complemented
315	#550	C₄×C₁₃	1	1	yes	characteristic, complemented
316	#546	—	2	2	no	—
317	#546	C₄×C₁₃	1	2	yes	complemented
318	D₄²	—	2	1	no	—
319	D₄²	C₄×C₁₃	1	1	yes	characteristic, complemented
320	#540	—	2	1	no	—
321	#538	—	2	2	no	—
322	#532	C₂²×C₁₃	1	1	yes	characteristic
323	#529	C₂²×C₁₃	1	1	yes	characteristic
324	#525	C₂²×C₁₃	1	2	yes	—
325	C₂×#121	C₂²×C₁₃	1	2	yes	—
326	#518	—	2	1	no	—
327	C₂×C₄×D₄	—	2	1	no	—
328	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
329	#436	—	2	1	no	—
330	#435	—	2	2	no	—
331	C₈×D₄	—	2	1	no	—
332	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
333	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
334	#407	C₂²×C₁₃	1	2	yes	complemented
335	C₂×C₂²⋊C₈	C₂²×C₁₃	1	2	yes	complemented
336	C₄×C₄⋊C₄	—	2	1	no	—
337	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
338	C₄×C₂²⋊C₄	—	2	2	no	—
339	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
340	#376	C₂²×C₁₃	1	1	yes	characteristic, complemented
341	C₂×#95	C₂²×C₁₃	1	2	yes	complemented
342	#328	C₂²×C₁₃	1	1	yes	characteristic, complemented
343	#328	C₂²×C₁₃	1	1	yes	characteristic, complemented
344	#328	C₂²×C₁₃	1	2	yes	complemented
345	#327	C₂²×C₁₃	1	1	yes	characteristic
346	#327	C₂²×C₁₃	1	2	yes	—
347	#327	C₂²×C₁₃	1	1	yes	characteristic
348	#327	C₂²×C₁₃	1	2	yes	complemented
349	#327	C₂²×C₁₃	1	2	yes	complemented
350	#327	C₂²×C₁₃	1	2	yes	complemented
351	#327	C₂²×C₁₃	1	2	yes	complemented
352	C₂²×C₁₃	—	2	1	no	—
353	C₂²×C₁₃	—	2	2	no	—
354	C₂²×C₁₃	—	2	2	no	—
355	C₂²×C₁₃	—	2	1	no	—
356	C₂²×C₁₃	—	2	2	no	—
357	C₂²×C₁₃	—	2	2	no	—
358	C₂²×C₁₃	—	2	2	no	—
359	C₂²×C₁₃	—	4	4	no	—
360	C₂²×C₁₃	—	4	4	no	—
361	C₂²×C₁₃	—	4	2	no	—
362	C₂²×C₁₃	—	4	1	no	—
363	C₂²×C₁₃	—	4	2	no	—
364	C₂²×C₁₃	—	4	1	no	—
365	C₂²×C₁₃	—	4	1	no	—
366	C₂²×C₁₃	—	4	2	no	—
367	C₂²×C₁₃	—	16	4	no	—
368	C₂²×C₁₃	C₂×#104	1	4	yes	—
369	C₂²×C₁₃	C₂²×C₂²⋊C₄	1	1	yes	characteristic
370	C₂²×C₁₃	#576	1	1	yes	characteristic
371	C₂²×C₁₃	#577	1	1	yes	characteristic
372	C₄×C₁₃	—	2	1	no	—
373	C₄×C₁₃	—	2	1	no	—
374	C₄×C₁₃	—	2	2	no	—
375	C₄×C₁₃	—	2	2	no	—
376	C₄×C₁₃	—	2	1	no	—
377	C₄×C₁₃	—	2	1	no	—
378	C₄×C₁₃	—	2	1	no	—
379	C₄×C₁₃	—	4	2	no	—
380	C₄×C₁₃	—	4	4	no	—
381	C₄×C₁₃	—	4	2	no	—
382	C₄×C₁₃	—	4	1	no	—
383	C₄×C₁₃	—	4	1	no	—
384	C₄×C₁₃	—	4	2	no	—
385	C₄×C₁₃	—	4	1	no	—
386	C₄×C₁₃	C₂×#104	1	2	yes	—
387	C₂×#41	—	2	1	no	—
388	C₂×#41	C₂×C₄×C₁₃	1	2	yes	complemented
389	C₂²×D₄	—	2	2	no	—
390	C₂²×D₄	—	2	1	no	—
391	C₂²×D₄	C₂×C₄×C₁₃	1	2	yes	complemented
392	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
393	C₂³×C₄	—	2	2	no	—
394	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
395	C₂×M₁₆	—	2	2	no	—
396	C₂²×C₈	—	2	2	no	—
397	C₄⋊Q₈	C₂×C₄×C₁₃	1	1	yes	characteristic, complemented
398	#127	—	2	1	no	—
399	#127	C₂×C₄×C₁₃	1	1	yes	characteristic, complemented
400	#126	—	2	2	no	—
401	#126	—	2	1	no	—
402	#125	—	2	1	no	—
403	#125	C₂×C₄×C₁₃	1	1	yes	characteristic, complemented
404	#124	—	2	2	no	—
405	#124	—	2	1	no	—
406	#124	C₂×C₄×C₁₃	1	1	yes	characteristic, complemented
407	#123	—	2	2	no	—
408	#123	—	2	1	no	—
409	#123	—	2	2	no	—
410	#123	—	2	2	no	—
411	C₂²⋊Q₈	—	2	2	no	—
412	C₂²⋊Q₈	C₂×C₄×C₁₃	1	2	yes	complemented
413	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
414	#121	—	2	2	no	—
415	#121	—	2	1	no	—
416	#121	—	2	2	no	—
417	#121	—	2	2	no	—
418	#121	—	2	1	no	—
419	#121	—	2	1	no	—
420	#121	—	2	2	no	—
421	#121	—	2	2	no	—
422	#121	C₂×C₄×C₁₃	1	2	yes	complemented
423	#121	C₂×C₄×C₁₃	1	2	yes	complemented
424	#121	C₂×C₄×C₁₃	1	2	yes	complemented
425	#121	C₂³×C₁₃	1	1	yes	characteristic
426	#121	C₂³×C₁₃	1	2	yes	—
427	#120	—	2	2	no	—
428	#120	—	2	2	no	—
429	#120	—	2	2	no	—
430	C₄×Q₈	C₂×C₄×C₁₃	1	1	yes	characteristic, complemented
431	C₄×D₄	—	2	8	no	—
432	C₄×D₄	—	2	1	no	—
433	C₄×D₄	—	2	2	no	—
434	C₄×D₄	—	2	2	no	—
435	C₄×D₄	—	2	1	no	—
436	C₄×D₄	—	2	1	no	—
437	C₄×D₄	—	2	2	no	—
438	C₄×D₄	—	2	1	no	—
439	C₄×D₄	C₂×C₄×C₁₃	1	1	yes	characteristic
440	C₄×D₄	C₂×C₄×C₁₃	1	2	yes	—
441	C₄×D₄	C₂×C₄×C₁₃	1	1	yes	characteristic
442	C₄×D₄	C₂×C₄×C₁₃	1	1	yes	characteristic, complemented
443	C₄×D₄	C₂×C₄×C₁₃	1	2	yes	complemented
444	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
445	C₄×D₄	D₄×C₁₃	1	2	yes	—
446	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
447	#117	—	2	1	no	—
448	#117	—	2	1	no	—
449	#117	C₂×C₄×C₁₃	1	2	yes	complemented
450	C₂×C₄⋊C₄	—	2	1	no	—
451	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	2	yes	complemented
452	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
453	C₂×C₂²⋊C₄	—	2	2	no	—
454	C₂×C₂²⋊C₄	—	2	2	no	—
455	C₂×C₂²⋊C₄	—	2	2	no	—
456	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
457	C₂×C₄²	—	2	1	no	—
458	C₂×C₄²	—	2	1	no	—
459	C₂×C₄²	—	2	2	no	—
460	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
461	C₄⋊C₈	—	2	1	no	—
462	C₄⋊C₈	—	2	1	no	—
463	C₂²⋊C₈	—	2	2	no	—
464	C₂²⋊C₈	—	2	2	no	—
465	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
466	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
467	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
468	#97	—	2	1	no	—
469	C₄×C₈	—	2	1	no	—
470	#95	—	2	2	no	—
471	#95	—	2	1	no	—
472	#95	C₂³×C₁₃	1	1	yes	characteristic
473	#95	C₂³×C₁₃	1	2	yes	—
474	#95	C₂³×C₁₃	1	1	yes	characteristic
475	C₂×C₁₃	—	2	1	no	—
476	C₂×C₁₃	—	2	1	no	—
477	C₂×C₁₃	—	2	4	no	—
478	C₂×C₁₃	—	4	2	no	—
479	C₂×C₁₃	—	8	2	no	—
480	C₂×C₁₃	—	8	1	no	—
481	C₂×C₁₃	#2883	1	1	yes	characteristic
482	C₂×C₁₃	#2897	1	1	yes	characteristic
483	C₂×C₁₃	C₂²×#104	1	1	yes	characteristic
484	C₂⁴	—	2	2	no	—
485	C₂⁴	C₂×D₄×C₁₃	1	2	yes	—
486	#41	—	8	1	no	—
487	#41	—	8	1	no	—
488	#41	—	8	2	no	—
489	C₂×Q₈	—	2	1	no	—
490	C₂×Q₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
491	C₂×D₄	—	2	4	no	—
492	C₂×D₄	—	2	2	no	—
493	C₂×D₄	—	2	2	no	—
494	C₂×D₄	—	2	1	no	—
495	C₂×D₄	—	2	2	no	—
496	C₂×D₄	—	2	2	no	—
497	C₂×D₄	—	2	2	no	—
498	C₂×D₄	—	2	1	no	—
499	C₂×D₄	—	2	1	no	—
500	C₂×D₄	—	2	2	no	—
501	C₂×D₄	—	4	4	no	—
502	C₂×D₄	—	8	2	no	—
503	C₂×D₄	—	8	2	no	—
504	C₂×D₄	—	8	2	no	—
505	C₂×D₄	C₁₃×C₂²⋊C₄	1	2	yes	—
506	C₂×D₄	C₁₃×C₂²⋊C₄	1	1	yes	characteristic
507	C₂×D₄	C₁₃×C₂²⋊C₄	1	1	yes	characteristic
508	C₂×D₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
509	C₂×D₄	C₂²×C₄×C₁₃	1	2	yes	—
510	C₂²×C₄	—	2	1	no	—
511	C₂²×C₄	—	2	1	no	—
512	C₂²×C₄	—	2	2	no	—
513	C₂²×C₄	—	2	8	no	—
514	C₂²×C₄	—	2	2	no	—
515	C₂²×C₄	—	2	1	no	—
516	C₂²×C₄	—	2	2	no	—
517	C₂²×C₄	—	2	2	no	—
518	C₂²×C₄	—	8	2	no	—
519	C₂²×C₄	—	8	2	no	—
520	C₂²×C₄	—	8	2	no	—
521	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
522	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
523	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
524	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
525	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
526	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
527	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
528	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
529	M₁₆	—	8	2	no	—
530	C₂×C₈	—	2	1	no	—
531	C₂×C₈	—	2	1	no	—
532	C₂×C₈	—	2	2	no	—
533	C₂×C₈	—	8	2	no	—
534	C₄⋊C₄	—	2	4	no	—
535	C₄⋊C₄	—	2	2	no	—
536	C₄⋊C₄	—	2	1	no	—
537	C₄⋊C₄	—	2	1	no	—
538	C₄⋊C₄	—	2	1	no	—
539	C₄⋊C₄	—	2	2	no	—
540	C₄⋊C₄	—	2	1	no	—
541	C₄⋊C₄	—	2	1	no	—
542	C₄⋊C₄	C₁₃×C₂²⋊C₄	1	1	yes	characteristic
543	C₄⋊C₄	C₁₃×C₂²⋊C₄	1	1	yes	characteristic
544	C₄⋊C₄	C₁₃×C₂²⋊C₄	1	2	yes	—
545	C₄⋊C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
546	C₄⋊C₄	C₂²×C₄×C₁₃	1	2	yes	—
547	C₄⋊C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
548	C₂²⋊C₄	—	2	8	no	—
549	C₂²⋊C₄	—	2	2	no	—
550	C₂²⋊C₄	—	2	2	no	—
551	C₂²⋊C₄	—	2	1	no	—
552	C₂²⋊C₄	—	2	1	no	—
553	C₂²⋊C₄	—	2	2	no	—
554	C₂²⋊C₄	—	2	2	no	—
555	C₂²⋊C₄	—	2	1	no	—
556	C₂²⋊C₄	—	2	2	no	—
557	C₂²⋊C₄	—	2	1	no	—
558	C₂²⋊C₄	—	2	2	no	—
559	C₂²⋊C₄	—	2	1	no	—
560	C₂²⋊C₄	—	2	2	no	—
561	C₂²⋊C₄	C₁₃×C₂²⋊C₄	1	2	yes	—
562	C₂²⋊C₄	C₁₃×C₂²⋊C₄	1	2	yes	—
563	C₂²⋊C₄	C₁₃×C₂²⋊C₄	1	2	yes	—
564	C₂²⋊C₄	C₁₃×C₂²⋊C₄	1	2	yes	—
565	C₄²	—	2	4	no	—
566	C₄²	—	2	2	no	—
567	C₄²	—	2	1	no	—
568	C₄²	—	8	1	no	—
569	C₄²	—	8	2	no	—
570	C₄²	C₂²×C₄×C₁₃	1	1	yes	characteristic
571	C₄²	C₂²×C₄×C₁₃	1	1	yes	characteristic
572	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
573	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
574	C₁₃	#17547	1	1	yes	characteristic, direct product factor, Sylow
575	C₂³	—	2	4	no	—
576	C₂³	—	2	2	no	—
577	C₂³	—	2	2	no	—
578	C₂³	—	2	1	no	—
579	C₂³	—	2	2	no	—
580	C₂³	—	4	2	no	—
581	C₂³	—	4	4	no	—
582	C₂³	—	8	2	no	—
583	C₂³	—	8	2	no	—
584	C₂³	C₂×C₁₃×C₂²⋊C₄	1	2	yes	—
585	C₂³	C₂×C₁₃×C₂²⋊C₄	1	2	yes	—
586	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
587	Q₈	—	4	1	no	—
588	Q₈	—	8	1	no	—
589	D₄	—	2	4	no	—
590	D₄	—	2	2	no	—
591	D₄	—	4	1	no	—
592	D₄	—	4	2	no	—
593	D₄	—	4	4	no	—
594	D₄	—	4	1	no	—
595	D₄	—	4	2	no	—
596	D₄	—	4	1	no	—
597	D₄	—	4	2	no	—
598	D₄	—	4	2	no	—
599	D₄	—	8	2	no	—
600	D₄	—	8	1	no	—
601	D₄	—	8	2	no	—
602	D₄	—	8	2	no	—
603	D₄	—	8	2	no	—
604	D₄	C₁₃×#104	1	4	yes	—
605	C₂×C₄	—	2	1	no	—
606	C₂×C₄	—	2	1	no	—
607	C₂×C₄	—	2	2	no	—
608	C₂×C₄	—	2	2	no	—
609	C₂×C₄	—	2	2	no	—
610	C₂×C₄	—	2	4	no	—
611	C₂×C₄	—	2	1	no	—
612	C₂×C₄	—	2	1	no	—
613	C₂×C₄	—	2	2	no	—
614	C₂×C₄	—	2	1	no	—
615	C₂×C₄	—	4	2	no	—
616	C₂×C₄	—	4	2	no	—
617	C₂×C₄	—	4	2	no	—
618	C₂×C₄	—	4	1	no	—
619	C₂×C₄	—	4	2	no	—
620	C₂×C₄	—	4	2	no	—
621	C₂×C₄	—	4	1	no	—
622	C₂×C₄	—	4	2	no	—
623	C₂×C₄	—	4	1	no	—
624	C₂×C₄	—	4	2	no	—
625	C₂×C₄	—	4	1	no	—
626	C₂×C₄	—	4	1	no	—
627	C₂×C₄	—	4	2	no	—
628	C₂×C₄	—	8	2	no	—
629	C₂×C₄	—	8	2	no	—
630	C₂×C₄	—	8	2	no	—
631	C₂×C₄	—	8	8	no	—
632	C₂×C₄	C₂×C₁₃×C₂²⋊C₄	1	2	yes	—
633	C₂×C₄	C₂×C₁₃×C₂²⋊C₄	1	1	yes	characteristic
634	C₂×C₄	C₂×C₁₃×C₂²⋊C₄	1	1	yes	characteristic
635	C₂×C₄	C₂×C₁₃×C₂²⋊C₄	1	1	yes	characteristic
636	C₂×C₄	C₂×C₁₃×C₂²⋊C₄	1	2	yes	—
637	C₂×C₄	C₂×C₁₃×C₂²⋊C₄	1	1	yes	characteristic
638	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
639	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
640	C₈	—	4	1	no	—
641	C₈	—	4	2	no	—
642	C₈	—	4	1	no	—
643	C₂²	—	2	1	no	—
644	C₂²	—	2	2	no	—
645	C₂²	—	2	2	no	—
646	C₂²	—	2	1	no	—
647	C₂²	—	2	2	no	—
648	C₂²	—	2	2	no	—
649	C₂²	—	2	2	no	—
650	C₂²	—	4	4	no	—
651	C₂²	—	4	4	no	—
652	C₂²	—	4	2	no	—
653	C₂²	—	4	1	no	—
654	C₂²	—	4	2	no	—
655	C₂²	—	4	1	no	—
656	C₂²	—	4	1	no	—
657	C₂²	—	4	2	no	—
658	C₂²	—	16	4	no	—
659	C₂²	C₂×C₁₃×#104	1	4	yes	—
660	C₂²	C₂²×C₁₃×C₂²⋊C₄	1	1	yes	characteristic
661	C₂²	C₁₃×#576	1	1	yes	characteristic
662	C₂²	C₁₃×#577	1	1	yes	characteristic
663	C₄	—	2	1	no	—
664	C₄	—	2	1	no	—
665	C₄	—	2	2	no	—
666	C₄	—	2	2	no	—
667	C₄	—	2	1	no	—
668	C₄	—	2	1	no	—
669	C₄	—	2	1	no	—
670	C₄	—	4	2	no	—
671	C₄	—	4	4	no	—
672	C₄	—	4	2	no	—
673	C₄	—	4	1	no	—
674	C₄	—	4	1	no	—
675	C₄	—	4	2	no	—
676	C₄	—	4	1	no	—
677	C₄	C₂×C₁₃×#104	1	2	yes	—
678	C₂	—	2	1	no	—
679	C₂	—	2	1	no	—
680	C₂	—	2	4	no	—
681	C₂	—	4	2	no	—
682	C₂	—	8	1	no	—
683	C₂	—	8	2	no	—
684	C₂	C₁₃×#2883	1	1	yes	characteristic
685	C₂	C₁₃×#2897	1	1	yes	characteristic
686	C₂	C₂²×C₁₃×#104	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂²×C₂²⋊C₄
commutator	C₂×C₄	C₂³×C₄×C₁₃
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
prime radical	C₁₃×#3519	C₂
LCS	G ▷ C₂×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₄×D₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#2974	C₂	semidirect
3. C₁₃×#2275	C₂	semidirect
4. C₁₃×#1509	C₂	semidirect
5. C₁₃×#1507	C₂	semidirect
6. C₁₃×#1505	C₂	semidirect
7. C₁₃×#1504	C₂	semidirect
8. C₁₃×#1502	C₂	semidirect
9. C₁₃×#1501	C₂	semidirect
10. C₁₃×#1500	C₂	semidirect
11. C₂×C₁₃×#327	C₂	semidirect
12. C₁₃×#555	C₄	semidirect
13. C₁₃×#554	C₄	semidirect
15. C₁₃×#553	C₄	semidirect
16. C₁₃×#550	C₄	semidirect
18. C₁₃×#546	C₄	semidirect
20. D₄²×C₁₃	C₄	semidirect
33. C₁₃×#432	C₂²	semidirect
34. C₁₃×#431	C₂²	semidirect
35. C₁₃×#407	C₂²	semidirect
36. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
38. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
40. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
41. C₁₃×#376	C₂²	semidirect
42. C₂×C₁₃×#95	C₂²	semidirect
43. C₁₃×#328	C₂²	semidirect
44. C₁₃×#328	C₂²	semidirect
45. C₁₃×#328	C₂²	semidirect
49. C₁₃×#327	C₂²	semidirect
50. C₁₃×#327	C₂²	semidirect
51. C₁₃×#327	C₂²	semidirect
52. C₁₃×#327	C₂²	semidirect
54. C₂×C₁₃×#41	C₂×C₄	semidirect
57. C₂²×D₄×C₁₃	C₂×C₄	semidirect
63. C₁₃×C₄⋊Q₈	C₂×C₄	semidirect
65. C₁₃×#127	C₂×C₄	semidirect
69. C₁₃×#125	C₂×C₄	semidirect
72. C₁₃×#124	C₂×C₄	semidirect
78. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
88. C₁₃×#121	C₂×C₄	semidirect
89. C₁₃×#121	C₂×C₄	semidirect
90. C₁₃×#121	C₂×C₄	semidirect
96. C₄×Q₈×C₁₃	C₂×C₄	semidirect
108. C₄×D₄×C₁₃	C₂×C₄	semidirect
109. C₄×D₄×C₁₃	C₂×C₄	semidirect
115. C₁₃×#117	C₂×C₄	semidirect
117. C₂×C₁₃×C₄⋊C₄	C₂×C₄	semidirect
141. #17547	C₁₃	direct (N × H)
233. #2974	C₂×C₁₃	semidirect
234. #2275	C₂×C₁₃	semidirect
235. #1509	C₂×C₁₃	semidirect
236. #1507	C₂×C₁₃	semidirect
237. #1505	C₂×C₁₃	semidirect
238. #1504	C₂×C₁₃	semidirect
239. #1502	C₂×C₁₃	semidirect
240. #1501	C₂×C₁₃	semidirect
241. #1500	C₂×C₁₃	semidirect
242. C₂×#327	C₂×C₁₃	semidirect
311. #555	C₄×C₁₃	semidirect
312. #554	C₄×C₁₃	semidirect
314. #553	C₄×C₁₃	semidirect
315. #550	C₄×C₁₃	semidirect
317. #546	C₄×C₁₃	semidirect
319. D₄²	C₄×C₁₃	semidirect
332. #432	C₂²×C₁₃	semidirect
333. #431	C₂²×C₁₃	semidirect
334. #407	C₂²×C₁₃	semidirect
335. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
337. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
339. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
340. #376	C₂²×C₁₃	semidirect
341. C₂×#95	C₂²×C₁₃	semidirect
342. #328	C₂²×C₁₃	semidirect
343. #328	C₂²×C₁₃	semidirect
344. #328	C₂²×C₁₃	semidirect
348. #327	C₂²×C₁₃	semidirect
349. #327	C₂²×C₁₃	semidirect
350. #327	C₂²×C₁₃	semidirect
351. #327	C₂²×C₁₃	semidirect
388. C₂×#41	C₂×C₄×C₁₃	semidirect
391. C₂²×D₄	C₂×C₄×C₁₃	semidirect
397. C₄⋊Q₈	C₂×C₄×C₁₃	semidirect
399. #127	C₂×C₄×C₁₃	semidirect
403. #125	C₂×C₄×C₁₃	semidirect
406. #124	C₂×C₄×C₁₃	semidirect
412. C₂²⋊Q₈	C₂×C₄×C₁₃	semidirect
422. #121	C₂×C₄×C₁₃	semidirect
423. #121	C₂×C₄×C₁₃	semidirect
424. #121	C₂×C₄×C₁₃	semidirect
430. C₄×Q₈	C₂×C₄×C₁₃	semidirect
442. C₄×D₄	C₂×C₄×C₁₃	semidirect
443. C₄×D₄	C₂×C₄×C₁₃	semidirect
449. #117	C₂×C₄×C₁₃	semidirect
451. C₂×C₄⋊C₄	C₂×C₄×C₁₃	semidirect
574. C₁₃	#17547	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×#3519	2
C₁₃×#2974	2
C₁₃×#2275	2
C₁₃×#1509	2
C₁₃×#1507	2
C₁₃×#1505	2
C₁₃×#1504	2
C₁₃×#1502	2
C₁₃×#1501	2
C₁₃×#1500	2
C₂×C₁₃×#327	2
#17547	13

Subgroups — C13×#17547 #15703886

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#17547 #15703886