Subgroups — #15871012

Order 3328.

882 conjugacy classes of subgroups.

The subgroup lattice has 412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11718374	C₂	1	1	yes	maximal, characteristic
2	#13117577	C₂	1	1	yes	maximal, characteristic, complemented
3	#13117561	C₂	1	1	yes	maximal, characteristic
4	#13115801	C₂	1	1	yes	maximal, characteristic, complemented
5	#13115642	C₂	1	1	yes	maximal, characteristic
6	#13115533	C₂	1	2	yes	maximal, complemented
7	#13115519	C₂	1	2	yes	maximal, complemented
8	#13114970	C₂	1	1	yes	maximal, characteristic, complemented
9	#13114662	C₂	1	2	yes	maximal, complemented
10	C₄×#88061	C₂	1	2	yes	maximal, complemented
11	C₁₃×#1726	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#88128	C₂²	1	1	yes	characteristic
13	C₂×C₄×D₅₂	C₂²	1	2	yes	—
14	C₂×#88124	C₂²	1	1	yes	characteristic
15	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
16	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
18	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
19	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
20	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
21	C₁₃×#376	C₂²	1	1	yes	characteristic
22	C₂×#88061	C₂²	1	2	yes	—
23	C₂×#88061	C₂²	1	2	yes	—
24	C₂×#88061	C₂²	1	2	yes	—
25	C₂×#88061	C₂²	1	2	yes	—
26	#11718600	C₂²	1	2	yes	—
27	#11718597	C₂²	1	1	yes	characteristic
28	#11718596	C₂²	1	1	yes	characteristic
29	C₄×C₄⋊Dic₁₃	C₂²	1	2	yes	—
30	#11718589	C₂²	1	2	yes	—
31	#11718374	C₄	1	8	yes	complemented
32	#11718326	—	2	2	no	—
33	#11718326	—	2	2	no	—
34	#11718316	—	2	2	no	—
35	#11718308	—	2	2	no	—
36	#11718143	C₂²	1	2	yes	—
37	#11718143	C₂²	1	2	yes	—
38	#11718143	C₂²	1	2	yes	—
39	#11718143	C₂²	1	2	yes	—
40	C₂²×D₅₂	—	2	2	no	—
41	C₂²×D₅₂	C₂³	1	2	yes	—
42	C₂²×C₄×D₁₃	—	2	2	no	—
43	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
44	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
45	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
46	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
47	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
48	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
49	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
50	C₂×#6103	—	2	2	no	—
51	C₂×#6103	—	2	2	no	—
52	C₂×#6103	—	2	2	no	—
53	C₂×C₄⋊Dic₁₃	—	2	2	no	—
54	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
55	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
56	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
57	C₂×#6101	—	2	2	no	—
58	C₂×#6101	—	2	2	no	—
59	C₂×C₄×Dic₁₃	—	2	2	no	—
60	#88128	—	2	2	no	—
61	#88128	C₂×C₄	1	4	yes	—
62	C₄×D₅₂	—	2	4	no	—
63	C₄×D₅₂	—	2	4	no	—
64	#88124	—	2	2	no	—
65	#88124	C₂×C₄	1	4	yes	complemented
66	C₁₃×#97	—	2	2	no	—
67	C₁₃×#97	—	2	2	no	—
68	C₁₃×#97	C₂×C₄	1	4	yes	complemented
69	C₄×C₈×C₁₃	—	2	2	no	—
70	C₄×C₈×C₁₃	—	2	2	no	—
71	C₄×C₈×C₁₃	—	2	2	no	—
72	C₁₃×#95	D₄	1	2	yes	—
73	C₁₃×#95	D₄	1	2	yes	—
74	#88071	—	2	2	no	—
75	#88071	—	2	2	no	—
76	#88071	—	2	2	no	—
77	#88061	—	2	4	no	—
78	#88061	—	2	4	no	—
79	#88061	C₂×C₄	1	8	yes	complemented
80	#88061	C₂×C₄	1	8	yes	complemented
81	#21652	—	13	1	no	maximal, Sylow
82	C₂³×D₁₃	—	2	2	no	—
83	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
84	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
85	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
86	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
87	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
88	C₂²×Dic₁₃	—	2	2	no	—
89	C₂²×Dic₁₃	—	2	2	no	—
90	C₂²×Dic₁₃	—	2	2	no	—
91	C₂×D₅₂	—	2	2	no	—
92	C₂×D₅₂	—	2	2	no	—
93	C₂×D₅₂	—	2	2	no	—
94	C₂×D₅₂	—	2	2	no	—
95	C₂×D₅₂	—	2	2	no	—
96	C₂×D₅₂	—	2	8	no	—
97	C₂×D₅₂	—	8	2	no	—
98	C₂×D₅₂	—	8	2	no	—
99	C₂×D₅₂	C₂²×C₄	1	4	yes	—
100	C₂×C₄×D₁₃	—	4	4	no	—
101	C₂×C₄×D₁₃	—	8	2	no	—
102	C₂×C₄×D₁₃	—	8	2	no	—
103	C₂×C₈×C₁₃	—	2	1	no	—
104	C₂×C₈×C₁₃	—	2	1	no	—
105	C₂×C₈×C₁₃	—	2	1	no	—
106	C₂×C₈×C₁₃	—	2	1	no	—
107	C₂×C₈×C₁₃	—	2	1	no	—
108	C₂×C₈×C₁₃	—	2	1	no	—
109	C₂×C₈×C₁₃	—	2	1	no	—
110	C₂×C₈×C₁₃	—	2	1	no	—
111	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
112	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
113	C₂×C₈×C₁₃	#41	1	2	yes	—
114	C₂×C₈×C₁₃	#41	1	2	yes	—
115	C₄²×C₁₃	—	2	1	no	—
116	C₄²×C₁₃	—	2	1	no	—
117	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
118	C₄²×C₁₃	#41	1	2	yes	—
119	C₄²×C₁₃	#41	1	2	yes	—
120	C₄²×C₁₃	#41	1	2	yes	—
121	#6103	—	4	4	no	—
122	#6103	—	8	2	no	—
123	#6103	—	8	2	no	—
124	C₄⋊Dic₁₃	—	2	2	no	—
125	C₄⋊Dic₁₃	—	2	2	no	—
126	C₄⋊Dic₁₃	—	2	2	no	—
127	C₄⋊Dic₁₃	—	2	2	no	—
128	C₄⋊Dic₁₃	—	2	2	no	—
129	C₄⋊Dic₁₃	—	8	2	no	—
130	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
131	#6101	—	2	8	no	—
132	#6101	—	8	2	no	—
133	C₄×Dic₁₃	—	8	2	no	—
134	C₂×#490	—	13	1	no	—
135	#2330	—	13	1	no	—
136	#2328	—	13	1	no	—
137	#1991	—	13	1	no	—
138	#1957	—	13	1	no	—
139	#1936	—	13	2	no	—
140	#1934	—	13	2	no	—
141	#1836	—	13	1	no	—
142	#1762	—	13	2	no	—
143	C₄×#102	—	13	2	no	—
144	#1726	D₁₃	1	1	yes	characteristic, complemented
145	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
146	C₂²×D₁₃	—	2	4	no	—
147	C₂²×D₁₃	—	4	2	no	—
148	C₂²×D₁₃	—	4	2	no	—
149	C₂²×D₁₃	—	4	2	no	—
150	C₂²×D₁₃	—	4	2	no	—
151	C₂²×D₁₃	—	4	2	no	—
152	C₂²×D₁₃	—	4	2	no	—
153	C₂×C₄×C₁₃	—	2	2	no	—
154	C₂×C₄×C₁₃	—	2	2	no	—
155	C₂×C₄×C₁₃	—	2	2	no	—
156	C₂×C₄×C₁₃	—	2	2	no	—
157	C₂×C₄×C₁₃	—	2	1	no	—
158	C₂×C₄×C₁₃	—	2	1	no	—
159	C₂×C₄×C₁₃	—	2	2	no	—
160	C₂×C₄×C₁₃	—	2	2	no	—
161	C₂×C₄×C₁₃	C₄×D₄	1	4	yes	—
162	C₂×C₄×C₁₃	#124	1	4	yes	—
163	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
164	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
165	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
166	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
167	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
168	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
169	C₂×Dic₁₃	—	2	4	no	—
170	C₂×Dic₁₃	—	4	2	no	—
171	C₂×Dic₁₃	—	4	2	no	—
172	C₂×Dic₁₃	—	4	2	no	—
173	C₂×Dic₁₃	—	4	2	no	—
174	C₂×Dic₁₃	—	4	2	no	—
175	C₂×Dic₁₃	—	4	2	no	—
176	C₂×Dic₁₃	—	4	2	no	—
177	C₂×Dic₁₃	—	4	2	no	—
178	D₅₂	—	2	4	no	—
179	D₅₂	—	2	4	no	—
180	D₅₂	—	4	2	no	—
181	D₅₂	—	4	2	no	—
182	D₅₂	—	8	8	no	—
183	C₄×D₁₃	—	8	8	no	—
184	C₈×C₁₃	—	2	2	no	—
185	C₈×C₁₃	—	2	2	no	—
186	C₈×C₁₃	—	2	2	no	—
187	C₈×C₁₃	—	2	2	no	—
188	C₂×#127	—	13	1	no	—
189	C₂×#125	—	13	1	no	—
190	C₂×C₄×D₄	—	13	2	no	—
191	#490	—	13	8	no	—
192	C₂×#102	—	13	2	no	—
193	C₂×#102	—	13	2	no	—
194	C₂×#102	—	13	2	no	—
195	C₂×#102	—	13	2	no	—
196	C₂×#97	C₂×D₁₃	1	1	yes	characteristic
197	C₂×#97	C₂×D₁₃	1	1	yes	characteristic
198	C₂×#97	C₂×D₁₃	1	1	yes	characteristic
199	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
200	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
201	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
202	#390	—	13	2	no	—
203	#389	—	13	2	no	—
204	#389	—	26	2	no	—
205	#387	—	26	2	no	—
206	#386	—	26	2	no	—
207	#386	—	26	2	no	—
208	#384	—	13	1	no	—
209	#382	—	13	1	no	—
210	C₄×C₄⋊C₄	—	13	2	no	—
211	#376	C₂×D₁₃	1	1	yes	characteristic
212	#340	—	13	2	no	—
213	#340	—	13	2	no	—
214	#340	—	13	2	no	—
215	#340	—	13	2	no	—
216	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
217	C₂²×C₁₃	C₂×#124	1	1	yes	characteristic
218	C₂²×C₁₃	#532	1	1	yes	characteristic
219	C₂²×C₁₃	#576	1	2	yes	—
220	C₂²×C₁₃	#577	1	2	yes	—
221	C₂×D₁₃	—	4	4	no	—
222	C₂×D₁₃	—	4	4	no	—
223	C₂×D₁₃	—	4	4	no	—
224	C₂×D₁₃	—	8	2	no	—
225	C₂×D₁₃	—	8	2	no	—
226	C₂×D₁₃	—	8	2	no	—
227	C₂×D₁₃	—	8	2	no	—
228	C₄×C₁₃	—	2	4	no	—
229	C₄×C₁₃	—	2	4	no	—
230	C₄×C₁₃	—	4	1	no	—
231	C₄×C₁₃	—	4	1	no	—
232	C₄×C₁₃	C₄×#41	1	1	yes	characteristic
233	C₄×C₁₃	C₄×#41	1	1	yes	characteristic
234	C₄×C₁₃	#529	1	1	yes	characteristic
235	C₄×C₁₃	#529	1	1	yes	characteristic
236	Dic₁₃	—	4	4	no	—
237	Dic₁₃	—	8	2	no	—
238	Dic₁₃	—	8	2	no	—
239	C₂²×D₄	—	13	2	no	—
240	C₂²×D₄	—	26	2	no	—
241	C₂³×C₄	—	26	2	no	—
242	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
243	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
244	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
245	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
246	#127	—	13	4	no	—
247	#127	—	26	2	no	—
248	#125	—	13	4	no	—
249	#125	—	26	2	no	—
250	C₄×D₄	—	26	4	no	—
251	C₄×D₄	—	26	4	no	—
252	C₂×C₄⋊C₄	—	13	2	no	—
253	C₂×C₄⋊C₄	—	13	2	no	—
254	C₂×C₄⋊C₄	—	13	2	no	—
255	C₂×C₄⋊C₄	—	26	2	no	—
256	C₂×C₄⋊C₄	—	26	2	no	—
257	C₂×C₄⋊C₄	—	26	2	no	—
258	C₂×C₂²⋊C₄	—	26	2	no	—
259	C₂×C₂²⋊C₄	—	26	2	no	—
260	C₂×C₂²⋊C₄	—	26	2	no	—
261	C₂×C₄²	—	26	2	no	—
262	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
263	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
264	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
265	#102	—	13	8	no	—
266	#102	—	13	8	no	—
267	#102	—	26	4	no	—
268	#102	—	26	4	no	—
269	#97	—	2	2	no	—
270	#97	—	2	2	no	—
271	#97	C₄×D₁₃	1	4	yes	complemented
272	C₄×C₈	—	2	2	no	—
273	C₄×C₈	—	2	2	no	—
274	C₄×C₈	—	2	2	no	—
275	#95	—	26	2	no	—
276	#95	—	26	2	no	—
277	#95	—	26	2	no	—
278	#95	D₅₂	1	2	yes	—
279	#95	D₅₂	1	2	yes	—
280	C₂×C₁₃	C₄×#124	1	1	yes	characteristic
281	C₂×C₁₃	#2946	1	2	yes	—
282	C₂×C₁₃	#3136	1	2	yes	—
283	C₂×C₁₃	#3174	1	1	yes	characteristic
284	C₂×C₁₃	#3176	1	1	yes	characteristic
285	D₁₃	—	8	4	no	—
286	C₂⁴	—	26	2	no	—
287	C₂×D₄	—	13	4	no	—
288	C₂×D₄	—	26	8	no	—
289	C₂×D₄	—	26	2	no	—
290	C₂×D₄	—	26	2	no	—
291	C₂×D₄	—	26	2	no	—
292	C₂×D₄	—	26	2	no	—
293	C₂×D₄	—	26	2	no	—
294	C₂×D₄	—	104	2	no	—
295	C₂×D₄	—	104	2	no	—
296	C₂²×C₄	—	26	2	no	—
297	C₂²×C₄	—	26	2	no	—
298	C₂²×C₄	—	26	2	no	—
299	C₂²×C₄	—	52	4	no	—
300	C₂²×C₄	—	104	2	no	—
301	C₂²×C₄	—	104	2	no	—
302	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
303	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
304	C₂²×C₄	C₂×D₅₂	1	2	yes	—
305	C₂²×C₄	C₂×D₅₂	1	2	yes	—
306	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
307	C₂×C₈	—	2	1	no	—
308	C₂×C₈	—	2	1	no	—
309	C₂×C₈	—	2	1	no	—
310	C₂×C₈	—	2	1	no	—
311	C₂×C₈	—	2	1	no	—
312	C₂×C₈	—	2	1	no	—
313	C₂×C₈	—	2	1	no	—
314	C₂×C₈	—	2	1	no	—
315	C₂×C₈	C₂×C₄×D₁₃	1	2	yes	—
316	C₂×C₈	C₂×C₄×D₁₃	1	2	yes	—
317	C₂×C₈	#6127	1	2	yes	—
318	C₂×C₈	#6127	1	2	yes	—
319	C₄⋊C₄	—	13	4	no	—
320	C₄⋊C₄	—	26	8	no	—
321	C₄⋊C₄	—	26	2	no	—
322	C₄⋊C₄	—	26	2	no	—
323	C₄⋊C₄	—	26	2	no	—
324	C₄⋊C₄	—	26	2	no	—
325	C₄⋊C₄	—	26	2	no	—
326	C₄⋊C₄	—	104	2	no	—
327	C₄⋊C₄	—	104	2	no	—
328	C₂²⋊C₄	—	52	4	no	—
329	C₂²⋊C₄	—	104	2	no	—
330	C₂²⋊C₄	—	104	2	no	—
331	C₄²	—	2	1	no	—
332	C₄²	—	2	1	no	—
333	C₄²	—	104	2	no	—
334	C₄²	C₂×C₄×D₁₃	1	2	yes	—
335	C₄²	#6127	1	2	yes	—
336	C₄²	#6127	1	2	yes	—
337	C₄²	#6127	1	2	yes	—
338	C₁₃	#21652	1	1	yes	characteristic, complemented, Sylow
339	C₂³	—	26	4	no	—
340	C₂³	—	52	2	no	—
341	C₂³	—	52	2	no	—
342	C₂³	—	52	2	no	—
343	C₂³	—	52	2	no	—
344	C₂³	—	52	2	no	—
345	C₂³	—	52	2	no	—
346	C₂³	C₂²×D₅₂	1	1	yes	characteristic
347	D₄	—	26	4	no	—
348	D₄	—	26	4	no	—
349	D₄	—	52	2	no	—
350	D₄	—	52	2	no	—
351	D₄	—	104	8	no	—
352	C₂×C₄	—	2	2	no	—
353	C₂×C₄	—	2	2	no	—
354	C₂×C₄	—	2	2	no	—
355	C₂×C₄	—	2	2	no	—
356	C₂×C₄	—	2	1	no	—
357	C₂×C₄	—	2	1	no	—
358	C₂×C₄	—	2	2	no	—
359	C₂×C₄	—	2	2	no	—
360	C₂×C₄	—	26	4	no	—
361	C₂×C₄	—	52	2	no	—
362	C₂×C₄	—	52	2	no	—
363	C₂×C₄	—	52	2	no	—
364	C₂×C₄	—	52	2	no	—
365	C₂×C₄	—	52	2	no	—
366	C₂×C₄	—	52	2	no	—
367	C₂×C₄	—	52	2	no	—
368	C₂×C₄	—	52	2	no	—
369	C₂×C₄	—	104	8	no	—
370	C₂×C₄	C₄×D₅₂	1	4	yes	—
371	C₂×C₄	#88129	1	4	yes	—
372	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
373	C₂×C₄	C₂×#6127	1	1	yes	characteristic
374	C₂×C₄	C₂×#6127	1	1	yes	characteristic
375	C₂×C₄	C₂×#6127	1	1	yes	characteristic
376	C₂×C₄	C₂×#6127	1	1	yes	characteristic
377	C₂×C₄	C₂×#6127	1	1	yes	characteristic
378	C₈	—	2	2	no	—
379	C₈	—	2	2	no	—
380	C₈	—	2	2	no	—
381	C₈	—	2	2	no	—
382	C₂²	—	52	4	no	—
383	C₂²	—	52	4	no	—
384	C₂²	—	52	4	no	—
385	C₂²	—	104	2	no	—
386	C₂²	—	104	2	no	—
387	C₂²	—	104	2	no	—
388	C₂²	—	104	2	no	—
389	C₂²	C₂×C₄×D₅₂	1	1	yes	characteristic
390	C₂²	C₂×#88129	1	1	yes	characteristic
391	C₂²	#11719182	1	1	yes	characteristic
392	C₂²	#11719456	1	2	yes	—
393	C₂²	#11719457	1	2	yes	—
394	C₄	—	2	4	no	—
395	C₄	—	2	4	no	—
396	C₄	—	4	1	no	—
397	C₄	—	4	1	no	—
398	C₄	—	52	4	no	—
399	C₄	—	104	2	no	—
400	C₄	—	104	2	no	—
401	C₄	C₄×#6127	1	1	yes	characteristic
402	C₄	C₄×#6127	1	1	yes	characteristic
403	C₄	#11719184	1	1	yes	characteristic
404	C₄	#11719184	1	1	yes	characteristic
405	C₂	—	104	4	no	—
406	C₂	C₄×#88129	1	1	yes	characteristic
407	C₂	#13123670	1	2	yes	—
408	C₂	#13125192	1	2	yes	—
409	C₂	#13125464	1	1	yes	characteristic
410	C₂	#13125486	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂²×D₅₂
commutator	C₂×C₄×C₁₃	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₁₃
Fitting	C₁₃×#1726	C₂
socle	C₂³×C₁₃	C₂²×D₄
prime radical	C₂×#88128	C₂²
cosocle	C₂²×C₄×C₁₃	C₂⁴
hypercenter	#1726	D₁₃
hypocenter	C₁₃	#21652
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #376 ◁ #1726

Complements

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

N	H ≅ G/N	type
2. #13117577	C₂	semidirect
4. #13115801	C₂	semidirect
6. #13115533	C₂	semidirect
7. #13115519	C₂	semidirect
8. #13114970	C₂	semidirect
9. #13114662	C₂	semidirect
10. C₄×#88061	C₂	semidirect
11. C₁₃×#1726	C₂	semidirect
31. #11718374	C₄	semidirect
65. #88124	C₂×C₄	semidirect
68. C₁₃×#97	C₂×C₄	semidirect
79. #88061	C₂×C₄	semidirect
80. #88061	C₂×C₄	semidirect
144. #1726	D₁₃	semidirect
271. #97	C₄×D₁₃	semidirect
338. C₁₃	#21652	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11718374	2
#13117577	2
#13117561	2
#13115801	2
#13115642	2
#13115533	2
#13115519	2
#13114970	2
#13114662	2
C₄×#88061	2
C₁₃×#1726	2
#21652	13