Subgroups — C₁₃×#29385 #15715724

Order 3328.

662 conjugacy classes of subgroups.

The subgroup lattice has 390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2956	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#2921	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2102	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2091	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2050	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2010	C₂	1	1	yes	maximal, characteristic
7	C₁₃×#1932	C₂	1	2	yes	maximal, complemented
8	C₁₃×#1897	C₂	1	2	yes	maximal, complemented
9	C₁₃×#1891	C₂	1	2	yes	maximal, complemented
10	C₁₃×#1861	C₂	1	2	yes	maximal, complemented
11	C₁₃×#1841	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#575	C₂²	1	1	yes	characteristic
13	C₁₃×#568	C₂²	1	2	yes	—
14	C₁₃×#525	C₂²	1	2	yes	—
15	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
16	C₁₃×#444	—	2	2	no	—
17	C₁₃×#443	—	2	2	no	—
18	C₁₃×#433	—	2	2	no	—
19	C₁₃×#433	—	2	2	no	—
20	C₁₃×#430	C₂²	1	1	yes	characteristic
21	C₁₃×#430	C₂²	1	2	yes	—
22	C₁₃×#423	C₂²	1	1	yes	characteristic
23	C₁₃×#423	C₂²	1	1	yes	characteristic
24	C₁₃×#421	C₂²	1	2	yes	—
25	C₂×C₁₃×#104	C₂²	1	2	yes	—
26	C₂×C₁₃×#104	C₂²	1	2	yes	—
27	C₁₃×#413	C₂²	1	2	yes	—
28	C₁₃×#407	C₂²	1	1	yes	characteristic
29	C₁₃×#407	C₂²	1	1	yes	characteristic
30	C₁₃×#407	C₂²	1	2	yes	—
31	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
32	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
33	C₁₃×#344	C₂²	1	2	yes	—
34	C₁₃×#344	C₂²	1	2	yes	—
35	C₁₃×#339	C₂²	1	2	yes	—
36	C₁₃×#339	C₂²	1	2	yes	—
37	C₁₃×#338	C₂²	1	1	yes	characteristic
38	C₁₃×H(3,ℤ/4)	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#41	C₂³	1	2	yes	—
40	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
41	C₁₃×#137	—	2	2	no	—
42	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
43	C₁₃×#135	—	2	2	no	—
44	C₁₃×#131	—	2	4	no	—
45	C₁₃×#131	—	4	2	no	—
46	C₂×C₁₃×M₁₆	—	4	2	no	—
47	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
48	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
49	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
50	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
51	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
52	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
53	C₁₃×#123	—	2	2	no	—
54	C₁₃×C₂²⋊Q₈	—	2	2	no	—
55	C₁₃×#121	—	2	2	no	—
56	C₁₃×#120	—	2	2	no	—
57	C₄×D₄×C₁₃	—	4	2	no	—
58	C₁₃×#117	—	2	1	no	—
59	C₁₃×#117	—	2	1	no	—
60	C₁₃×#117	—	2	2	no	—
61	C₁₃×#117	C₂³	1	2	yes	—
62	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
63	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
64	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
65	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
66	C₁₃×#108	—	2	2	no	—
67	C₁₃×#108	—	4	2	no	—
68	C₁₃×C₄⋊C₈	—	2	2	no	—
69	C₁₃×C₄⋊C₈	—	2	2	no	—
70	C₁₃×#104	—	2	2	no	—
71	C₁₃×#104	—	2	2	no	—
72	C₁₃×#104	—	2	4	no	—
73	C₁₃×#104	—	4	2	no	—
74	C₁₃×#101	—	2	2	no	—
75	C₁₃×#100	—	2	2	no	—
76	C₁₃×C₂²⋊C₈	—	2	2	no	—
77	C₁₃×C₂²⋊C₈	—	2	2	no	—
78	C₁₃×C₂²⋊C₈	—	4	2	no	—
79	C₁₃×#97	—	2	1	no	—
80	C₁₃×#97	D₄	1	2	yes	complemented
81	C₄×C₈×C₁₃	—	2	1	no	—
82	C₄×C₈×C₁₃	D₄	1	2	yes	complemented
83	#29385	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
84	C₂⁴×C₁₃	#41	1	1	yes	characteristic
85	C₁₃×#41	—	2	2	no	—
86	C₁₃×#41	—	2	2	no	—
87	C₁₃×#41	—	2	2	no	—
88	C₁₃×#41	—	2	2	no	—
89	C₂×Q₈×C₁₃	#41	1	2	yes	—
90	C₂×D₄×C₁₃	—	2	2	no	—
91	C₂×D₄×C₁₃	—	4	2	no	—
92	C₂×D₄×C₁₃	#41	1	2	yes	—
93	C₂²×C₄×C₁₃	—	2	1	no	—
94	C₂²×C₄×C₁₃	—	2	1	no	—
95	C₂²×C₄×C₁₃	—	2	1	no	—
96	C₂²×C₄×C₁₃	—	2	1	no	—
97	C₂²×C₄×C₁₃	—	2	2	no	—
98	C₂²×C₄×C₁₃	—	2	2	no	—
99	C₂²×C₄×C₁₃	—	2	2	no	—
100	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
101	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
102	C₁₃×Q₁₆	—	2	2	no	—
103	C₁₃×SD₁₆	—	2	4	no	—
104	C₁₃×D₈	—	2	2	no	—
105	C₁₃×M₁₆	—	2	2	no	—
106	C₁₃×M₁₆	—	2	2	no	—
107	C₁₃×M₁₆	—	2	2	no	—
108	C₁₃×M₁₆	—	2	2	no	—
109	C₁₃×M₁₆	—	2	2	no	—
110	C₁₃×M₁₆	—	2	2	no	—
111	C₁₃×M₁₆	—	2	2	no	—
112	C₁₃×M₁₆	—	2	2	no	—
113	C₁₃×M₁₆	—	4	4	no	—
114	C₂×C₈×C₁₃	—	2	1	no	—
115	C₂×C₈×C₁₃	—	2	1	no	—
116	C₂×C₈×C₁₃	—	2	2	no	—
117	C₂×C₈×C₁₃	—	2	2	no	—
118	C₂×C₈×C₁₃	—	4	4	no	—
119	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
120	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
121	C₁₃×C₄⋊C₄	—	2	2	no	—
122	C₁₃×C₄⋊C₄	—	2	2	no	—
123	C₁₃×C₄⋊C₄	—	2	2	no	—
124	C₁₃×C₄⋊C₄	—	4	2	no	—
125	C₁₃×C₂²⋊C₄	—	2	2	no	—
126	C₁₃×C₂²⋊C₄	—	2	2	no	—
127	C₁₃×C₂²⋊C₄	—	2	2	no	—
128	C₁₃×C₂²⋊C₄	—	4	2	no	—
129	C₁₃×C₂²⋊C₄	—	4	2	no	—
130	C₄²×C₁₃	—	2	1	no	—
131	C₄²×C₁₃	—	2	1	no	—
132	C₄²×C₁₃	—	2	2	no	—
133	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
134	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
135	C₄²×C₁₃	#41	1	2	yes	—
136	#2956	C₂×C₁₃	1	1	yes	characteristic, complemented
137	#2921	C₂×C₁₃	1	1	yes	characteristic, complemented
138	#2102	C₂×C₁₃	1	1	yes	characteristic, complemented
139	#2091	C₂×C₁₃	1	1	yes	characteristic, complemented
140	#2050	C₂×C₁₃	1	1	yes	characteristic, complemented
141	#2010	C₂×C₁₃	1	1	yes	characteristic
142	#1932	C₂×C₁₃	1	2	yes	complemented
143	#1897	C₂×C₁₃	1	2	yes	complemented
144	#1891	C₂×C₁₃	1	2	yes	complemented
145	#1861	C₂×C₁₃	1	2	yes	complemented
146	#1841	C₂×C₁₃	1	1	yes	characteristic, complemented
147	C₂³×C₁₃	—	2	1	no	—
148	C₂³×C₁₃	—	2	2	no	—
149	C₂³×C₁₃	—	2	2	no	—
150	C₂³×C₁₃	—	8	1	no	—
151	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
152	Q₈×C₁₃	—	2	2	no	—
153	Q₈×C₁₃	—	2	2	no	—
154	D₄×C₁₃	—	2	2	no	—
155	D₄×C₁₃	—	2	2	no	—
156	D₄×C₁₃	—	4	2	no	—
157	D₄×C₁₃	—	4	2	no	—
158	D₄×C₁₃	—	8	4	no	—
159	C₂×C₄×C₁₃	—	2	1	no	—
160	C₂×C₄×C₁₃	—	2	1	no	—
161	C₂×C₄×C₁₃	—	2	2	no	—
162	C₂×C₄×C₁₃	—	2	1	no	—
163	C₂×C₄×C₁₃	—	2	2	no	—
164	C₂×C₄×C₁₃	—	2	2	no	—
165	C₂×C₄×C₁₃	—	4	1	no	—
166	C₂×C₄×C₁₃	—	4	2	no	—
167	C₂×C₄×C₁₃	—	4	1	no	—
168	C₂×C₄×C₁₃	—	4	2	no	—
169	C₂×C₄×C₁₃	—	4	2	no	—
170	C₂×C₄×C₁₃	—	4	2	no	—
171	C₂×C₄×C₁₃	—	8	1	no	—
172	C₂×C₄×C₁₃	—	8	1	no	—
173	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
174	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
175	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
176	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
177	C₈×C₁₃	—	2	2	no	—
178	C₈×C₁₃	—	2	2	no	—
179	C₈×C₁₃	—	4	1	no	—
180	C₈×C₁₃	—	4	2	no	—
181	C₈×C₁₃	—	4	1	no	—
182	C₈×C₁₃	—	4	2	no	—
183	#575	C₂²×C₁₃	1	1	yes	characteristic
184	#568	C₂²×C₁₃	1	2	yes	—
185	#525	C₂²×C₁₃	1	2	yes	—
186	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
187	#444	—	2	2	no	—
188	#443	—	2	2	no	—
189	#433	—	2	2	no	—
190	#433	—	2	2	no	—
191	#430	C₂²×C₁₃	1	1	yes	characteristic
192	#430	C₂²×C₁₃	1	2	yes	—
193	#423	C₂²×C₁₃	1	1	yes	characteristic
194	#423	C₂²×C₁₃	1	1	yes	characteristic
195	#421	C₂²×C₁₃	1	2	yes	—
196	C₂×#104	C₂²×C₁₃	1	2	yes	—
197	C₂×#104	C₂²×C₁₃	1	2	yes	—
198	#413	C₂²×C₁₃	1	2	yes	—
199	#407	C₂²×C₁₃	1	1	yes	characteristic
200	#407	C₂²×C₁₃	1	1	yes	characteristic
201	#407	C₂²×C₁₃	1	2	yes	—
202	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
203	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
204	#344	C₂²×C₁₃	1	2	yes	—
205	#344	C₂²×C₁₃	1	2	yes	—
206	#339	C₂²×C₁₃	1	2	yes	—
207	#339	C₂²×C₁₃	1	2	yes	—
208	#338	C₂²×C₁₃	1	1	yes	characteristic
209	H(3,ℤ/4)	C₂²×C₁₃	1	1	yes	characteristic
210	C₂²×C₁₃	—	4	1	no	—
211	C₂²×C₁₃	—	4	2	no	—
212	C₂²×C₁₃	—	4	2	no	—
213	C₂²×C₁₃	—	4	2	no	—
214	C₂²×C₁₃	—	4	1	no	—
215	C₂²×C₁₃	—	4	2	no	—
216	C₂²×C₁₃	—	8	2	no	—
217	C₂²×C₁₃	#525	1	1	yes	characteristic
218	C₂²×C₁₃	#551	1	2	yes	—
219	C₄×C₁₃	—	4	1	no	—
220	C₄×C₁₃	—	4	1	no	—
221	C₄×C₁₃	—	4	2	no	—
222	C₄×C₁₃	—	4	1	no	—
223	C₄×C₁₃	—	4	2	no	—
224	C₄×C₁₃	—	8	2	no	—
225	C₄×C₁₃	#525	1	1	yes	characteristic
226	C₄×C₁₃	#535	1	1	yes	characteristic
227	C₄×C₁₃	#553	1	2	yes	—
228	C₂×#41	C₂³×C₁₃	1	2	yes	—
229	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
230	#137	—	2	2	no	—
231	AGL(1,ℤ/8)	—	2	2	no	—
232	#135	—	2	2	no	—
233	#131	—	2	4	no	—
234	#131	—	4	2	no	—
235	C₂×M₁₆	—	4	2	no	—
236	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
237	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
238	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
239	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
240	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
241	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
242	#123	—	2	2	no	—
243	C₂²⋊Q₈	—	2	2	no	—
244	#121	—	2	2	no	—
245	#120	—	2	2	no	—
246	C₄×D₄	—	4	2	no	—
247	#117	—	2	1	no	—
248	#117	—	2	1	no	—
249	#117	—	2	2	no	—
250	#117	C₂³×C₁₃	1	2	yes	—
251	C₂×C₄⋊C₄	—	2	1	no	—
252	C₂×C₂²⋊C₄	—	2	1	no	—
253	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
254	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
255	#108	—	2	2	no	—
256	#108	—	4	2	no	—
257	C₄⋊C₈	—	2	2	no	—
258	C₄⋊C₈	—	2	2	no	—
259	#104	—	2	2	no	—
260	#104	—	2	2	no	—
261	#104	—	2	4	no	—
262	#104	—	4	2	no	—
263	#101	—	2	2	no	—
264	#100	—	2	2	no	—
265	C₂²⋊C₈	—	2	2	no	—
266	C₂²⋊C₈	—	2	2	no	—
267	C₂²⋊C₈	—	4	2	no	—
268	#97	—	2	1	no	—
269	#97	D₄×C₁₃	1	2	yes	complemented
270	C₄×C₈	—	2	1	no	—
271	C₄×C₈	D₄×C₁₃	1	2	yes	complemented
272	C₂×C₁₃	—	2	1	no	—
273	C₂×C₁₃	—	2	2	no	—
274	C₂×C₁₃	—	8	1	no	—
275	C₂×C₁₃	—	8	2	no	—
276	C₂×C₁₃	#2598	1	1	yes	characteristic
277	C₂⁴	C₁₃×#41	1	1	yes	characteristic
278	#41	—	2	2	no	—
279	#41	—	2	2	no	—
280	#41	—	2	2	no	—
281	#41	—	2	2	no	—
282	C₂×Q₈	C₁₃×#41	1	2	yes	—
283	C₂×D₄	—	2	2	no	—
284	C₂×D₄	—	4	2	no	—
285	C₂×D₄	C₁₃×#41	1	2	yes	—
286	C₂²×C₄	—	2	1	no	—
287	C₂²×C₄	—	2	1	no	—
288	C₂²×C₄	—	2	1	no	—
289	C₂²×C₄	—	2	1	no	—
290	C₂²×C₄	—	2	2	no	—
291	C₂²×C₄	—	2	2	no	—
292	C₂²×C₄	—	2	2	no	—
293	C₂²×C₄	C₁₃×#41	1	1	yes	characteristic
294	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
295	Q₁₆	—	2	2	no	—
296	SD₁₆	—	2	4	no	—
297	D₈	—	2	2	no	—
298	M₁₆	—	2	2	no	—
299	M₁₆	—	2	2	no	—
300	M₁₆	—	2	2	no	—
301	M₁₆	—	2	2	no	—
302	M₁₆	—	2	2	no	—
303	M₁₆	—	2	2	no	—
304	M₁₆	—	2	2	no	—
305	M₁₆	—	2	2	no	—
306	M₁₆	—	4	4	no	—
307	C₂×C₈	—	2	1	no	—
308	C₂×C₈	—	2	1	no	—
309	C₂×C₈	—	2	2	no	—
310	C₂×C₈	—	2	2	no	—
311	C₂×C₈	—	4	4	no	—
312	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
313	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
314	C₄⋊C₄	—	2	2	no	—
315	C₄⋊C₄	—	2	2	no	—
316	C₄⋊C₄	—	2	2	no	—
317	C₄⋊C₄	—	4	2	no	—
318	C₂²⋊C₄	—	2	2	no	—
319	C₂²⋊C₄	—	2	2	no	—
320	C₂²⋊C₄	—	2	2	no	—
321	C₂²⋊C₄	—	4	2	no	—
322	C₂²⋊C₄	—	4	2	no	—
323	C₄²	—	2	1	no	—
324	C₄²	—	2	1	no	—
325	C₄²	—	2	2	no	—
326	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
327	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
328	C₄²	C₁₃×#41	1	2	yes	—
329	C₁₃	#29385	1	1	yes	characteristic, direct product factor, Sylow
330	C₂³	—	2	1	no	—
331	C₂³	—	2	2	no	—
332	C₂³	—	2	2	no	—
333	C₂³	—	8	1	no	—
334	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
335	Q₈	—	2	2	no	—
336	Q₈	—	2	2	no	—
337	D₄	—	2	2	no	—
338	D₄	—	2	2	no	—
339	D₄	—	4	2	no	—
340	D₄	—	4	2	no	—
341	D₄	—	8	4	no	—
342	C₂×C₄	—	2	1	no	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	2	no	—
347	C₂×C₄	—	2	2	no	—
348	C₂×C₄	—	4	1	no	—
349	C₂×C₄	—	4	2	no	—
350	C₂×C₄	—	4	1	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	4	2	no	—
354	C₂×C₄	—	8	1	no	—
355	C₂×C₄	—	8	1	no	—
356	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
357	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
358	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
359	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
360	C₈	—	2	2	no	—
361	C₈	—	2	2	no	—
362	C₈	—	4	1	no	—
363	C₈	—	4	2	no	—
364	C₈	—	4	1	no	—
365	C₈	—	4	2	no	—
366	C₂²	—	4	1	no	—
367	C₂²	—	4	2	no	—
368	C₂²	—	4	2	no	—
369	C₂²	—	4	2	no	—
370	C₂²	—	4	1	no	—
371	C₂²	—	4	2	no	—
372	C₂²	—	8	2	no	—
373	C₂²	C₁₃×#525	1	1	yes	characteristic
374	C₂²	C₁₃×#551	1	2	yes	—
375	C₄	—	4	1	no	—
376	C₄	—	4	1	no	—
377	C₄	—	4	2	no	—
378	C₄	—	4	1	no	—
379	C₄	—	4	2	no	—
380	C₄	—	8	2	no	—
381	C₄	C₁₃×#525	1	1	yes	characteristic
382	C₄	C₁₃×#535	1	1	yes	characteristic
383	C₄	C₁₃×#553	1	2	yes	—
384	C₂	—	2	1	no	—
385	C₂	—	2	2	no	—
386	C₂	—	8	1	no	—
387	C₂	—	8	2	no	—
388	C₂	C₁₃×#2598	1	1	yes	characteristic

	subgroup	G/H
center	C₄×C₁₃	#535
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
socle	C₂×C₁₃	#2598
prime radical	C₁₃×#2010	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₄×C₁₃ ◁ C₂²×C₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#2956	C₂	semidirect
2. C₁₃×#2921	C₂	semidirect
3. C₁₃×#2102	C₂	semidirect
4. C₁₃×#2091	C₂	semidirect
5. C₁₃×#2050	C₂	semidirect
7. C₁₃×#1932	C₂	semidirect
8. C₁₃×#1897	C₂	semidirect
9. C₁₃×#1891	C₂	semidirect
10. C₁₃×#1861	C₂	semidirect
11. C₁₃×#1841	C₂	semidirect
80. C₁₃×#97	D₄	semidirect
82. C₄×C₈×C₁₃	D₄	semidirect
83. #29385	C₁₃	direct (N × H)
136. #2956	C₂×C₁₃	semidirect
137. #2921	C₂×C₁₃	semidirect
138. #2102	C₂×C₁₃	semidirect
139. #2091	C₂×C₁₃	semidirect
140. #2050	C₂×C₁₃	semidirect
142. #1932	C₂×C₁₃	semidirect
143. #1897	C₂×C₁₃	semidirect
144. #1891	C₂×C₁₃	semidirect
145. #1861	C₂×C₁₃	semidirect
146. #1841	C₂×C₁₃	semidirect
269. #97	D₄×C₁₃	semidirect
271. C₄×C₈	D₄×C₁₃	semidirect
329. C₁₃	#29385	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×#2956	2
C₁₃×#2921	2
C₁₃×#2102	2
C₁₃×#2091	2
C₁₃×#2050	2
C₁₃×#2010	2
C₁₃×#1932	2
C₁₃×#1897	2
C₁₃×#1891	2
C₁₃×#1861	2
C₁₃×#1841	2
#29385	13

Subgroups — C13×#29385 #15715724

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#29385 #15715724