Subgroups — #16779031

Order 3328.

782 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃⋊#431	C₂	1	1	yes	maximal, characteristic
2	C₄×D₁₃⋊M₁₆	C₂	1	1	yes	maximal, characteristic
3	#13129668	C₂	1	4	yes	maximal, complemented
4	C₂×C₄×C₈×D₁₃	C₂	1	1	yes	maximal, characteristic
5	C₂×D₁₃⋊M₁₆	C₄	1	2	yes	—
6	C₂²×C₈×D₁₃	—	2	1	no	—
7	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
8	#11719125	—	2	1	no	—
9	D₁₃⋊(C₂²⋊C₈)	—	2	1	no	—
10	C₄×#6122	—	2	1	no	—
11	C₄×#6122	—	2	1	no	—
12	#11719119	C₄	1	2	yes	—
13	#11719051	C₂²	1	2	yes	—
14	D₁₃⋊(C₄⋊C₈)	C₄	1	2	yes	—
15	#11719049	—	2	1	no	—
16	C₄×#6118	C₄	1	2	yes	—
17	C₄×#6118	C₂²	1	2	yes	—
18	#11719047	—	2	1	no	—
19	C₄×D₁₃⋊C₈	—	2	1	no	—
20	C₄×D₁₃⋊C₈	—	2	1	no	—
21	C₂×C₄×C₈×C₁₃	C₄	1	1	yes	characteristic
22	C₂×C₈×Dic₁₃	—	2	1	no	—
23	C₂×C₄×#1055	C₄	1	1	yes	characteristic
24	C₄×C₈×D₁₃	—	2	1	no	—
25	C₄×C₈×D₁₃	—	2	1	no	—
26	C₄×C₈×D₁₃	C₄	1	2	yes	—
27	C₄×C₈×D₁₃	C₂²	1	2	yes	—
28	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
29	C₂²×C₄×D₁₃	D₄	1	1	yes	characteristic
30	C₂²×C₄×D₁₃	Q₈	1	1	yes	characteristic
31	C₂×#6122	—	2	2	no	—
32	D₁₃⋊M₁₆	—	2	4	no	—
33	D₁₃⋊M₁₆	C₈	1	8	yes	complemented
34	C₂×#6118	C₂×C₄	1	4	yes	—
35	C₂×D₁₃⋊C₈	—	2	2	no	—
36	C₂×D₁₃⋊C₈	—	2	2	no	—
37	C₂²×C₈×C₁₃	—	2	1	no	—
38	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
39	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
40	C₂×C₄×Dic₁₃	D₄	1	1	yes	characteristic
41	C₂×C₄×Dic₁₃	D₄	1	1	yes	characteristic
42	C₂²×#1055	—	2	1	no	—
43	C₂×C₈×D₁₃	—	2	8	no	—
44	C₂×C₈×D₁₃	—	2	2	no	—
45	C₂×C₈×D₁₃	—	2	2	no	—
46	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
47	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
48	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
49	C₄²×D₁₃	D₄	1	1	yes	characteristic
50	C₄²×D₁₃	D₄	1	1	yes	characteristic
51	C₄²×D₁₃	D₄	1	1	yes	characteristic
52	C₄²×D₁₃	Q₈	1	1	yes	characteristic
53	C₄²×D₁₃	C₂³	1	1	yes	characteristic
54	C₂²⋊#1057	—	2	2	no	—
55	#88112	—	2	2	no	—
56	#88111	—	2	2	no	—
57	#88110	—	2	2	no	—
58	#88110	—	2	2	no	—
59	C₄⋊#1057	C₂×C₄	1	4	yes	—
60	C₄×#1057	—	2	2	no	—
61	C₄×#1057	—	2	2	no	—
62	C₄×#1057	—	2	2	no	—
63	C₄×#1057	—	2	2	no	—
64	C₄×C₈×C₁₃	—	2	1	no	—
65	C₄×C₈×C₁₃	C₂×C₄	1	2	yes	—
66	C₈×Dic₁₃	—	2	2	no	—
67	C₈×Dic₁₃	—	2	2	no	—
68	C₄×#1055	—	2	1	no	—
69	C₄×#1055	C₂×C₄	1	2	yes	—
70	C₂×#1278	—	13	1	no	maximal, Sylow
71	C₂³×D₁₃	C₄⋊C₄	1	1	yes	characteristic
72	C₂²×C₄×C₁₃	C₄²	1	1	yes	characteristic
73	C₂²×C₄×C₁₃	C₂²⋊C₄	1	1	yes	characteristic
74	C₂²×C₄×C₁₃	C₄⋊C₄	1	1	yes	characteristic
75	C₂²×Dic₁₃	C₂²⋊C₄	1	1	yes	characteristic
76	C₂²×Dic₁₃	C₂²⋊C₄	1	1	yes	characteristic
77	C₂²×Dic₁₃	C₄⋊C₄	1	1	yes	characteristic
78	C₂×C₄×D₁₃	—	2	4	no	—
79	C₂×C₄×D₁₃	—	2	4	no	—
80	C₂×C₄×D₁₃	C₄²	1	1	yes	characteristic
81	C₂×C₄×D₁₃	C₂²⋊C₄	1	1	yes	characteristic
82	C₂×C₄×D₁₃	C₂²⋊C₄	1	1	yes	characteristic
83	C₂×C₄×D₁₃	C₂²⋊C₄	1	1	yes	characteristic
84	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
85	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
86	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
87	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
88	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
89	C₂×C₄×D₁₃	C₂×C₈	1	4	yes	—
90	C₂×C₄×D₁₃	M₁₆	1	4	yes	—
91	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
92	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
93	C₂×C₄×D₁₃	C₂×Q₈	1	1	yes	characteristic
94	#6122	—	2	8	no	—
95	C₂×#1057	—	2	4	no	—
96	C₂×#1057	—	2	4	no	—
97	#6118	—	2	4	no	—
98	#6118	C₂×C₈	1	8	yes	complemented
99	D₁₃⋊C₈	—	2	8	no	—
100	D₁₃⋊C₈	—	4	4	no	—
101	C₂×C₈×C₁₃	—	2	4	no	—
102	C₂×C₈×C₁₃	—	2	2	no	—
103	C₄²×C₁₃	C₄²	1	1	yes	characteristic
104	C₄²×C₁₃	C₂²⋊C₄	1	1	yes	characteristic
105	C₄²×C₁₃	C₄⋊C₄	1	1	yes	characteristic
106	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
107	C₄×Dic₁₃	C₄²	1	1	yes	characteristic
108	C₄×Dic₁₃	C₂²⋊C₄	1	1	yes	characteristic
109	C₄×Dic₁₃	C₂²⋊C₄	1	1	yes	characteristic
110	C₄×Dic₁₃	C₂²⋊C₄	1	1	yes	characteristic
111	C₄×Dic₁₃	C₂²⋊C₄	1	1	yes	characteristic
112	C₄×Dic₁₃	C₂²⋊C₄	1	1	yes	characteristic
113	C₄×Dic₁₃	C₄⋊C₄	1	1	yes	characteristic
114	C₄×Dic₁₃	C₄⋊C₄	1	1	yes	characteristic
115	C₄×Dic₁₃	C₄⋊C₄	1	1	yes	characteristic
116	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
117	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
118	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
119	C₂×#1055	—	2	4	no	—
120	C₂×#1055	—	2	2	no	—
121	C₈×D₁₃	—	2	8	no	—
122	C₈×D₁₃	—	2	8	no	—
123	C₂×#431	—	13	1	no	—
124	C₂×C₄×M₁₆	—	13	1	no	—
125	C₂²×C₄×C₈	—	13	1	no	—
126	#1278	—	13	4	no	—
127	C₂³×C₁₃	#95	1	1	yes	characteristic
128	C₂²×D₁₃	—	2	2	no	—
129	C₂²×D₁₃	—	2	2	no	—
130	C₂²×D₁₃	#95	1	1	yes	characteristic
131	C₂²×D₁₃	C₄⋊C₈	1	4	yes	—
132	C₂²×D₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
133	C₂×C₄×C₁₃	—	2	2	no	—
134	C₂×C₄×C₁₃	—	2	2	no	—
135	C₂×C₄×C₁₃	#95	1	1	yes	characteristic
136	C₂×C₄×C₁₃	#95	1	1	yes	characteristic
137	C₂×C₄×C₁₃	#95	1	1	yes	characteristic
138	C₂×C₄×C₁₃	C₄×C₈	1	2	yes	—
139	C₂×C₄×C₁₃	#97	1	2	yes	—
140	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
141	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
142	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
143	C₂×Dic₁₃	—	2	2	no	—
144	C₂×Dic₁₃	—	2	2	no	—
145	C₂×Dic₁₃	#95	1	1	yes	characteristic
146	C₂×Dic₁₃	#95	1	1	yes	characteristic
147	C₂×Dic₁₃	#95	1	1	yes	characteristic
148	C₂×Dic₁₃	C₂²⋊C₈	1	4	yes	—
149	C₂×Dic₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
150	C₂×Dic₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
151	C₂×Dic₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
152	C₄×D₁₃	—	2	2	no	—
153	C₄×D₁₃	—	2	2	no	—
154	C₄×D₁₃	—	2	2	no	—
155	C₄×D₁₃	—	2	2	no	—
156	C₄×D₁₃	—	2	2	no	—
157	C₄×D₁₃	—	2	2	no	—
158	C₄×D₁₃	C₄×C₈	1	2	yes	—
159	C₄×D₁₃	#97	1	2	yes	—
160	C₄×D₁₃	C₂²⋊C₈	1	4	yes	—
161	C₄×D₁₃	#104	1	4	yes	—
162	C₄×D₁₃	C₄⋊C₈	1	4	yes	—
163	C₄×D₁₃	#108	1	4	yes	—
164	C₄×D₁₃	C₂²×C₈	1	2	yes	—
165	C₄×D₁₃	C₂×M₁₆	1	2	yes	—
166	#1057	—	2	8	no	—
167	#1057	—	4	4	no	—
168	C₈×C₁₃	—	2	4	no	—
169	#1055	—	2	4	no	—
170	C₂²×M₁₆	—	13	2	no	—
171	C₂³×C₈	—	26	1	no	—
172	C₂²×C₄²	—	13	1	no	—
173	#431	—	13	2	no	—
174	#431	—	13	2	no	—
175	#431	—	26	1	no	—
176	#431	—	26	1	no	—
177	C₂×C₄⋊C₈	—	13	2	no	—
178	C₂×C₂²⋊C₈	—	26	1	no	—
179	C₄×M₁₆	—	13	2	no	—
180	C₄×M₁₆	—	13	2	no	—
181	C₄×M₁₆	—	26	1	no	—
182	C₄×M₁₆	—	26	1	no	—
183	C₂×#97	—	26	1	no	—
184	C₂×C₄×C₈	—	13	1	no	—
185	C₂×C₄×C₈	—	13	2	no	—
186	C₂×C₄×C₈	—	13	2	no	—
187	C₂×C₄×C₈	—	26	1	no	—
188	C₂×C₄×C₈	—	26	1	no	—
189	C₂×C₄×C₈	—	26	1	no	—
190	C₂×C₄×C₈	—	26	1	no	—
191	C₂×C₄×C₈	—	26	1	no	—
192	C₂×C₄×C₈	#261	1	1	yes	characteristic
193	C₂²×C₁₃	—	2	1	no	—
194	C₂²×C₁₃	—	2	1	no	—
195	C₂²×C₁₃	#336	1	2	yes	—
196	C₂²×C₁₃	C₂×#95	1	1	yes	characteristic
197	C₂×D₁₃	—	2	1	no	—
198	C₂×D₁₃	—	2	1	no	—
199	C₂×D₁₃	—	2	8	no	—
200	C₂×D₁₃	#336	1	2	yes	—
201	C₂×D₁₃	#339	1	2	yes	—
202	C₂×D₁₃	#341	1	2	yes	—
203	C₂×D₁₃	C₂×C₄⋊C₈	1	2	yes	—
204	C₄×C₁₃	—	2	1	no	—
205	C₄×C₁₃	—	2	1	no	—
206	C₄×C₁₃	#336	1	2	yes	—
207	C₄×C₁₃	#339	1	2	yes	—
208	C₄×C₁₃	C₂×C₄×C₈	1	1	yes	characteristic
209	C₄×C₁₃	C₂×#97	1	1	yes	characteristic
210	C₄×C₁₃	C₂×#108	1	2	yes	—
211	Dic₁₃	—	2	1	no	—
212	Dic₁₃	—	2	1	no	—
213	Dic₁₃	#336	1	2	yes	—
214	Dic₁₃	#341	1	2	yes	—
215	Dic₁₃	C₂×C₂²⋊C₈	1	2	yes	—
216	Dic₁₃	C₂×#104	1	2	yes	—
217	C₂³×C₄	—	13	1	no	—
218	C₂³×C₄	—	13	1	no	—
219	C₂³×C₄	—	13	1	no	—
220	C₂×M₁₆	—	13	4	no	—
221	C₂×M₁₆	—	13	8	no	—
222	C₂×M₁₆	—	26	2	no	—
223	C₂×M₁₆	—	26	4	no	—
224	C₂²×C₈	—	2	1	no	—
225	C₂²×C₈	—	26	2	no	—
226	C₂²×C₈	—	26	2	no	—
227	C₂²×C₈	—	26	8	no	—
228	C₂²×C₈	—	26	2	no	—
229	C₂²×C₈	—	26	1	no	—
230	C₂²×C₈	—	26	2	no	—
231	C₂×C₄²	—	13	1	no	—
232	C₂×C₄²	—	13	1	no	—
233	C₂×C₄²	—	13	1	no	—
234	C₂×C₄²	—	13	1	no	—
235	C₂×C₄²	—	13	1	no	—
236	C₂×C₄²	—	13	1	no	—
237	C₂×C₄²	—	13	1	no	—
238	C₂×C₄²	—	13	1	no	—
239	C₂×C₄²	—	13	1	no	—
240	C₂×C₄²	—	13	1	no	—
241	C₂×C₄²	—	13	1	no	—
242	C₂×C₄²	C₂×#261	1	1	yes	characteristic
243	C₄⋊C₈	—	13	4	no	—
244	C₄⋊C₈	—	26	2	no	—
245	C₂²⋊C₈	—	26	2	no	—
246	C₂²⋊C₈	—	26	2	no	—
247	#97	—	26	2	no	—
248	#97	—	26	2	no	—
249	C₄×C₈	—	2	1	no	—
250	C₄×C₈	—	13	2	no	—
251	C₄×C₈	—	26	2	no	—
252	C₄×C₈	—	26	2	no	—
253	C₄×C₈	—	26	2	no	—
254	C₄×C₈	—	26	2	no	—
255	C₄×C₈	—	26	2	no	—
256	C₄×C₈	—	26	2	no	—
257	C₄×C₈	—	26	1	no	—
258	C₄×C₈	C₂×#261	1	2	yes	—
259	C₂×C₁₃	—	2	2	no	—
260	C₂×C₁₃	C₂×#336	1	1	yes	characteristic
261	C₂×C₁₃	C₂×#339	1	1	yes	characteristic
262	C₂×C₁₃	C₂×#341	1	1	yes	characteristic
263	D₁₃	—	2	2	no	—
264	D₁₃	#1278	1	4	yes	complemented
265	C₂⁴	—	13	1	no	—
266	C₂²×C₄	—	13	1	no	—
267	C₂²×C₄	—	13	4	no	—
268	C₂²×C₄	—	13	4	no	—
269	C₂²×C₄	—	13	1	no	—
270	C₂²×C₄	—	13	1	no	—
271	C₂²×C₄	—	13	1	no	—
272	C₂²×C₄	—	13	1	no	—
273	C₂²×C₄	—	13	1	no	—
274	C₂²×C₄	—	13	1	no	—
275	C₂²×C₄	—	13	1	no	—
276	C₂²×C₄	—	13	1	no	—
277	C₂²×C₄	—	13	1	no	—
278	C₂²×C₄	—	13	1	no	—
279	C₂²×C₄	—	13	1	no	—
280	C₂²×C₄	—	13	1	no	—
281	C₂²×C₄	—	13	1	no	—
282	C₂²×C₄	—	13	1	no	—
283	C₂²×C₄	—	26	4	no	—
284	C₂²×C₄	—	26	4	no	—
285	C₂²×C₄	C₄×#261	1	1	yes	characteristic
286	C₂²×C₄	C₄⋊#261	1	1	yes	characteristic
287	C₂²×C₄	C₂²⋊#261	1	1	yes	characteristic
288	M₁₆	—	13	8	no	—
289	M₁₆	—	26	4	no	—
290	M₁₆	—	26	8	no	—
291	C₂×C₈	—	2	4	no	—
292	C₂×C₈	—	2	2	no	—
293	C₂×C₈	—	26	8	no	—
294	C₂×C₈	—	26	8	no	—
295	C₂×C₈	—	26	4	no	—
296	C₂×C₈	—	26	4	no	—
297	C₂×C₈	—	26	8	no	—
298	C₂×C₈	—	26	2	no	—
299	C₂×C₈	—	26	4	no	—
300	C₂×C₈	—	52	4	no	—
301	C₄²	—	13	1	no	—
302	C₄²	—	13	1	no	—
303	C₄²	—	13	1	no	—
304	C₄²	—	13	1	no	—
305	C₄²	—	13	1	no	—
306	C₄²	—	13	1	no	—
307	C₄²	—	13	1	no	—
308	C₄²	—	13	1	no	—
309	C₄²	—	13	1	no	—
310	C₄²	—	13	1	no	—
311	C₄²	—	13	1	no	—
312	C₄²	—	13	1	no	—
313	C₄²	C₄×#261	1	1	yes	characteristic
314	C₄²	C₄⋊#261	1	1	yes	characteristic
315	C₄²	C₂²⋊#261	1	1	yes	characteristic
316	C₄²	C₂²×#261	1	1	yes	characteristic
317	C₁₃	C₂×#1278	1	1	yes	characteristic, complemented, Sylow
318	C₂³	—	13	1	no	—
319	C₂³	—	13	4	no	—
320	C₂³	—	13	1	no	—
321	C₂³	—	26	2	no	—
322	C₂³	—	26	2	no	—
323	C₂³	(C₂×#261)⋊C₄	1	1	yes	characteristic
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	13	4	no	—
327	C₂×C₄	—	13	1	no	—
328	C₂×C₄	—	13	1	no	—
329	C₂×C₄	—	13	1	no	—
330	C₂×C₄	—	13	1	no	—
331	C₂×C₄	—	13	4	no	—
332	C₂×C₄	—	13	4	no	—
333	C₂×C₄	—	13	4	no	—
334	C₂×C₄	—	13	2	no	—
335	C₂×C₄	—	13	2	no	—
336	C₂×C₄	—	13	2	no	—
337	C₂×C₄	—	13	2	no	—
338	C₂×C₄	—	13	4	no	—
339	C₂×C₄	—	13	1	no	—
340	C₂×C₄	—	13	1	no	—
341	C₂×C₄	—	26	2	no	—
342	C₂×C₄	—	26	2	no	—
343	C₂×C₄	—	26	2	no	—
344	C₂×C₄	—	26	2	no	—
345	C₂×C₄	—	26	2	no	—
346	C₂×C₄	—	26	2	no	—
347	C₂×C₄	—	26	2	no	—
348	C₂×C₄	—	26	2	no	—
349	C₂×C₄	C₈×#261	1	2	yes	—
350	C₂×C₄	#88100	1	2	yes	—
351	C₂×C₄	(C₂×#261)⋊C₄	1	1	yes	characteristic
352	C₂×C₄	(C₂×#261)⋊C₄	1	1	yes	characteristic
353	C₂×C₄	(C₂×#261)⋊C₄	1	1	yes	characteristic
354	C₂×C₄	C₂×C₄×#261	1	1	yes	characteristic
355	C₂×C₄	C₂×C₄⋊#261	1	1	yes	characteristic
356	C₂×C₄	C₂×C₂²⋊#261	1	1	yes	characteristic
357	C₈	—	2	4	no	—
358	C₈	—	26	4	no	—
359	C₈	—	26	8	no	—
360	C₈	—	52	4	no	—
361	C₂²	—	2	1	no	—
362	C₂²	—	2	1	no	—
363	C₂²	—	13	2	no	—
364	C₂²	—	13	2	no	—
365	C₂²	—	13	2	no	—
366	C₂²	—	13	2	no	—
367	C₂²	—	26	8	no	—
368	C₂²	—	26	1	no	—
369	C₂²	—	26	1	no	—
370	C₂²	(C₂×#261)⋊C₈	1	2	yes	—
371	C₂²	C₂×(C₂×#261)⋊C₄	1	1	yes	characteristic
372	C₄	—	2	1	no	—
373	C₄	—	2	1	no	—
374	C₄	—	13	2	no	—
375	C₄	—	13	2	no	—
376	C₄	—	13	2	no	—
377	C₄	—	13	2	no	—
378	C₄	—	26	1	no	—
379	C₄	—	26	1	no	—
380	C₄	#11718234	1	2	yes	—
381	C₄	(C₂×#261)⋊C₈	1	2	yes	—
382	C₄	C₂×C₈×#261	1	1	yes	characteristic
383	C₄	C₂×#88100	1	1	yes	characteristic
384	C₄	D₁₃⋊#108	1	2	yes	—
385	C₂	—	2	2	no	—
386	C₂	—	13	4	no	—
387	C₂	—	26	2	no	—
388	C₂	C₂×(C₂×#261)⋊C₈	1	1	yes	characteristic
389	C₂	C₂×#11718234	1	1	yes	characteristic
390	C₂	#13130528	1	1	yes	characteristic

	subgroup	G/H
center	C₄²	C₄⋊#261
commutator	C₄×C₁₃	C₂×C₄×C₈
Frattini	C₄²	C₂²×#261
Fitting	C₂×C₄×C₈×C₁₃	C₄
socle	C₂²×C₁₃	C₂×#95
prime radical	C₂³×D₁₃	C₄⋊C₄
cosocle	C₄²×D₁₃	C₂³
hypercenter	C₂×C₄×C₈	#261
hypocenter	C₁₃	C₂×#1278
LCS	G ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₄² ◁ C₂×C₄² ◁ C₂×C₄×C₈

Complements

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

N	H ≅ G/N	type
3. #13129668	C₂	semidirect
33. D₁₃⋊M₁₆	C₈	semidirect
98. #6118	C₂×C₈	semidirect
264. D₁₃	#1278	semidirect
317. C₁₃	C₂×#1278	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
D₁₃⋊#431	2
C₄×D₁₃⋊M₁₆	2
#13129668	2
C₂×C₄×C₈×D₁₃	2
C₂×#1278	13