Subgroups — #15832746

Order 3328.

710 conjugacy classes of subgroups.

The subgroup lattice has 402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13123876	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×#6104	C₂	1	1	yes	maximal, characteristic
3	#13113748	C₂	1	4	yes	maximal, complemented
4	#13113719	C₂	1	4	yes	maximal, complemented
5	#13113582	C₂	1	1	yes	maximal, characteristic, complemented
6	#13113227	C₂	1	1	yes	maximal, characteristic, complemented
7	#13113226	C₂	1	1	yes	maximal, characteristic, complemented
8	#13113120	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2975	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
11	C₂²×#6104	C₄	1	1	yes	characteristic
12	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
13	C₁₃×#436	—	2	2	no	—
14	C₁₃×#436	C₂²	1	4	yes	complemented
15	C₁₃×#431	C₂²	1	1	yes	characteristic
16	C₁₃×#431	C₂²	1	1	yes	characteristic
17	C₁₃×#407	—	2	2	no	—
18	C₂×#88072	C₄	1	1	yes	characteristic
19	C₄×#6104	C₄	1	2	yes	—
20	C₄×#6104	C₄	1	2	yes	—
21	C₄×#6104	C₂²	1	2	yes	—
22	C₄×#6104	C₂²	1	2	yes	—
23	C₂×#88049	C₄	1	1	yes	characteristic
24	C₂×#88047	C₄	1	1	yes	characteristic
25	#11718586	C₂²	1	1	yes	characteristic
26	#11718586	C₂²	1	1	yes	characteristic
27	C₂×C₄×#1055	C₂²	1	1	yes	characteristic
28	#11718499	—	2	2	no	—
29	#11718387	—	2	2	no	—
30	#11718349	C₂²	1	4	yes	complemented
31	D₄⋊#1055	C₂²	1	4	yes	complemented
32	#11718075	C₂²	1	4	yes	complemented
33	#11718072	C₂²	1	2	yes	complemented
34	#11718071	C₂²	1	2	yes	complemented
35	#11718046	C₂²	1	2	yes	complemented
36	C₈×#1055	C₂²	1	2	yes	complemented
37	C₂²×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
38	C₂³×C₄×C₁₃	—	2	1	no	—
39	C₂²×D₅₂	C₂×C₄	1	1	yes	characteristic
40	C₂²×C₄×D₁₃	—	2	1	no	—
41	C₂×C₁₃×M₁₆	—	2	4	no	—
42	C₄×D₄×C₁₃	—	2	1	no	—
43	C₄×D₄×C₁₃	—	2	1	no	—
44	C₄×D₄×C₁₃	C₂×C₄	1	2	yes	—
45	C₄×D₄×C₁₃	C₂³	1	2	yes	—
46	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
47	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
48	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
49	C₂×#6104	—	2	4	no	—
50	C₂×#6104	C₂×C₄	1	2	yes	—
51	C₂×#6104	C₂×C₄	1	2	yes	—
52	C₂×#6103	—	2	1	no	—
53	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
54	C₂²×#1055	C₂×C₄	1	1	yes	characteristic
55	C₂²×#1055	C₂×C₄	1	1	yes	characteristic
56	C₂×#6094	—	2	4	no	—
57	C₄×D₅₂	—	2	1	no	—
58	C₄×D₅₂	—	2	1	no	—
59	C₄×D₅₂	C₂×C₄	1	2	yes	—
60	C₄×D₅₂	C₂³	1	2	yes	—
61	C₁₃×C₄⋊C₈	D₄	1	2	yes	—
62	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
63	C₁₃×C₂²⋊C₈	—	2	1	no	—
64	C₁₃×C₂²⋊C₈	—	2	4	no	—
65	C₁₃×C₂²⋊C₈	D₄	1	2	yes	—
66	C₄×C₈×C₁₃	—	2	1	no	—
67	C₄×C₈×C₁₃	C₂³	1	2	yes	—
68	#88072	C₂×C₄	1	2	yes	—
69	#88072	C₂×C₄	1	2	yes	—
70	C₂²⋊#1055	—	2	1	no	—
71	C₂²⋊#1055	—	2	1	no	—
72	#88060	—	2	4	no	—
73	#88049	C₂×C₄	1	2	yes	—
74	#88049	C₂×C₄	1	2	yes	—
75	#88047	C₂×C₄	1	2	yes	—
76	#88047	C₂×C₄	1	2	yes	—
77	C₄⋊#1055	—	2	1	no	—
78	C₄⋊#1055	C₂³	1	2	yes	—
79	C₄×#1055	—	2	1	no	—
80	C₄×#1055	C₂×C₄	1	1	yes	characteristic
81	C₄×#1055	C₂×C₄	1	1	yes	characteristic
82	C₄×#1055	C₂³	1	2	yes	—
83	C₄×#1055	C₂³	1	1	yes	characteristic
84	C₄×#1055	C₂³	1	1	yes	characteristic
85	#17895	—	13	1	no	maximal, Sylow
86	C₂⁴×C₁₃	—	2	1	no	—
87	C₂³×D₁₃	—	2	1	no	—
88	C₂×D₄×C₁₃	—	2	1	no	—
89	C₂×D₄×C₁₃	—	2	2	no	—
90	C₂×D₄×C₁₃	—	2	2	no	—
91	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
92	C₂²×C₄×C₁₃	—	2	1	no	—
93	C₂²×C₄×C₁₃	—	2	2	no	—
94	C₂²×C₄×C₁₃	—	2	2	no	—
95	C₂²×C₄×C₁₃	—	8	2	no	—
96	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
97	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
99	C₂²×Dic₁₃	—	2	1	no	—
100	C₂×D₅₂	—	2	2	no	—
101	C₂×D₅₂	—	2	2	no	—
102	C₂×D₅₂	—	2	1	no	—
103	C₂×D₅₂	C₂²×C₄	1	2	yes	—
104	C₂×C₄×D₁₃	—	2	2	no	—
105	C₂×C₄×D₁₃	—	2	2	no	—
106	C₂×C₄×D₁₃	—	8	2	no	—
107	C₁₃×M₁₆	—	8	4	no	—
108	C₂×C₈×C₁₃	—	2	2	no	—
109	C₂×C₈×C₁₃	C₂×D₄	1	4	yes	—
110	C₁₃×C₄⋊C₄	—	2	1	no	—
111	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
112	C₁₃×C₂²⋊C₄	—	2	2	no	—
113	C₁₃×C₂²⋊C₄	—	2	2	no	—
114	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
115	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
116	C₄²×C₁₃	#41	1	1	yes	characteristic
117	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
118	#6104	—	2	4	no	—
119	#6104	—	2	4	no	—
120	#6103	—	2	2	no	—
121	#6103	—	2	2	no	—
122	C₄⋊Dic₁₃	—	2	1	no	—
123	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
124	C₂×#1055	—	2	2	no	—
125	C₂×#1055	—	2	2	no	—
126	C₂×#1055	—	2	2	no	—
127	C₂×#1055	M₁₆	1	4	yes	complemented
128	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
129	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
130	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
131	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
132	#6094	—	8	4	no	—
133	#2975	—	13	1	no	—
134	#2975	D₁₃	1	1	yes	characteristic, complemented
135	C₂×C₄×D₈	—	13	1	no	—
136	#1594	—	13	4	no	—
137	#1589	—	13	4	no	—
138	#1564	—	13	1	no	—
139	#1478	—	13	1	no	—
140	#1478	—	13	1	no	—
141	#1450	—	13	1	no	—
142	C₂³×C₁₃	—	2	2	no	—
143	C₂³×C₁₃	—	4	2	no	—
144	C₂³×C₁₃	—	8	1	no	—
145	C₂³×C₁₃	—	8	1	no	—
146	C₂³×C₁₃	C₄×D₄	1	1	yes	characteristic
147	C₂²×D₁₃	—	2	2	no	—
148	C₂²×D₁₃	—	4	2	no	—
149	C₂²×D₁₃	—	8	1	no	—
150	C₂²×D₁₃	—	8	1	no	—
151	D₄×C₁₃	—	2	2	no	—
152	D₄×C₁₃	—	2	2	no	—
153	D₄×C₁₃	—	4	2	no	—
154	C₂×C₄×C₁₃	—	2	2	no	—
155	C₂×C₄×C₁₃	—	2	2	no	—
156	C₂×C₄×C₁₃	—	4	1	no	—
157	C₂×C₄×C₁₃	—	4	4	no	—
158	C₂×C₄×C₁₃	—	8	2	no	—
159	C₂×C₄×C₁₃	—	8	1	no	—
160	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
161	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
162	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
163	C₂×C₄×C₁₃	C₂×M₁₆	1	2	yes	—
164	C₂×C₄×C₁₃	#131	1	2	yes	—
165	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
166	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
167	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
168	C₂×Dic₁₃	—	2	2	no	—
169	C₂×Dic₁₃	—	8	1	no	—
170	D₅₂	—	2	2	no	—
171	D₅₂	—	2	2	no	—
172	D₅₂	—	4	2	no	—
173	C₄×D₁₃	—	4	4	no	—
174	C₄×D₁₃	—	8	2	no	—
175	C₈×C₁₃	—	2	4	no	—
176	C₈×C₁₃	—	4	2	no	—
177	#1055	—	2	1	no	—
178	#1055	—	2	1	no	—
179	#1055	—	4	2	no	—
180	#1055	—	4	2	no	—
181	#1055	C₂×M₁₆	1	2	yes	—
182	#1055	C₂×M₁₆	1	2	yes	—
183	C₂²×D₈	—	13	1	no	—
184	C₂×C₄×D₄	—	13	1	no	—
185	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
186	C₄×D₈	—	13	2	no	—
187	C₄×D₈	—	13	2	no	—
188	C₄×D₈	—	13	2	no	—
189	C₄×D₈	—	13	2	no	—
190	#436	—	2	2	no	—
191	#436	—	13	4	no	—
192	#436	—	26	2	no	—
193	#436	C₂×D₁₃	1	4	yes	complemented
194	#431	—	13	1	no	—
195	#431	—	13	1	no	—
196	#431	C₂×D₁₃	1	1	yes	characteristic
197	#431	C₂×D₁₃	1	1	yes	characteristic
198	C₂×#107	—	13	1	no	—
199	C₂×#102	—	13	1	no	—
200	C₂×#102	—	13	1	no	—
201	#407	—	2	2	no	—
202	#407	—	26	2	no	—
203	C₂×C₄×C₈	—	13	1	no	—
204	#335	—	13	2	no	—
205	#334	—	13	2	no	—
206	D₄⋊C₈	—	13	4	no	—
207	D₄⋊C₈	—	13	4	no	—
208	#322	—	13	2	no	—
209	C₈²	—	13	2	no	—
210	C₂²×C₁₃	—	2	1	no	—
211	C₂²×C₁₃	—	2	1	no	—
212	C₂²×C₁₃	—	4	2	no	—
213	C₂²×C₁₃	—	4	2	no	—
214	C₂²×C₁₃	—	4	2	no	—
215	C₂²×C₁₃	—	8	4	no	—
216	C₂²×C₁₃	#436	1	2	yes	—
217	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
218	C₂×D₁₃	—	4	2	no	—
219	C₂×D₁₃	—	4	2	no	—
220	C₂×D₁₃	—	4	2	no	—
221	C₂×D₁₃	—	8	4	no	—
222	C₄×C₁₃	—	2	1	no	—
223	C₄×C₁₃	—	2	1	no	—
224	C₄×C₁₃	—	2	1	no	—
225	C₄×C₁₃	—	4	2	no	—
226	C₄×C₁₃	#436	1	2	yes	—
227	C₄×C₁₃	C₂²×M₁₆	1	1	yes	characteristic
228	C₄×C₁₃	C₂×#131	1	1	yes	characteristic
229	C₄×C₁₃	#576	1	2	yes	—
230	Dic₁₃	—	4	2	no	—
231	C₂²×D₄	—	13	1	no	—
232	C₂²×D₄	C₄×D₁₃	1	1	yes	characteristic
233	C₂³×C₄	—	2	1	no	—
234	C₂³×C₄	—	26	1	no	—
235	C₂×D₈	—	13	2	no	—
236	C₂×D₈	—	13	2	no	—
237	C₂×D₈	—	26	4	no	—
238	C₂×M₁₆	—	2	4	no	—
239	C₂×M₁₆	—	26	4	no	—
240	C₂²×C₈	—	13	1	no	—
241	C₂²×C₈	—	13	1	no	—
242	C₄×D₄	—	2	1	no	—
243	C₄×D₄	—	2	1	no	—
244	C₄×D₄	—	13	2	no	—
245	C₄×D₄	—	13	2	no	—
246	C₄×D₄	—	26	1	no	—
247	C₄×D₄	—	26	1	no	—
248	C₄×D₄	C₄×D₁₃	1	2	yes	—
249	C₄×D₄	C₂²×D₁₃	1	2	yes	—
250	C₂×C₄⋊C₄	—	13	1	no	—
251	C₂×C₄⋊C₄	C₄×D₁₃	1	1	yes	characteristic
252	C₂×C₂²⋊C₄	—	2	1	no	—
253	C₂×C₂²⋊C₄	—	26	1	no	—
254	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
255	#107	—	13	2	no	—
256	#107	—	13	2	no	—
257	C₄⋊C₈	—	13	2	no	—
258	C₄⋊C₈	—	26	1	no	—
259	C₄⋊C₈	C₂²⋊D₁₃	1	2	yes	—
260	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
261	#102	—	13	2	no	—
262	#102	—	13	2	no	—
263	#102	—	13	2	no	—
264	#102	—	13	2	no	—
265	C₂²⋊C₈	—	2	1	no	—
266	C₂²⋊C₈	—	2	4	no	—
267	C₂²⋊C₈	—	26	1	no	—
268	C₂²⋊C₈	—	26	1	no	—
269	C₂²⋊C₈	—	26	4	no	—
270	C₂²⋊C₈	C₂²⋊D₁₃	1	2	yes	—
271	C₄×C₈	—	2	1	no	—
272	C₄×C₈	—	13	1	no	—
273	C₄×C₈	—	13	1	no	—
274	C₄×C₈	—	13	1	no	—
275	C₄×C₈	—	13	1	no	—
276	C₄×C₈	—	13	2	no	—
277	C₄×C₈	—	26	1	no	—
278	C₄×C₈	C₂²×D₁₃	1	2	yes	—
279	C₂×C₁₃	—	2	2	no	—
280	C₂×C₁₃	—	8	2	no	—
281	C₂×C₁₃	C₂×#436	1	1	yes	characteristic
282	C₂×C₁₃	#2948	1	1	yes	characteristic
283	C₂×C₁₃	#2957	1	1	yes	characteristic
284	D₁₃	—	8	2	no	—
285	C₂⁴	—	2	1	no	—
286	C₂⁴	—	26	1	no	—
287	C₂×D₄	—	2	2	no	—
288	C₂×D₄	—	2	2	no	—
289	C₂×D₄	—	2	1	no	—
290	C₂×D₄	—	13	2	no	—
291	C₂×D₄	—	26	2	no	—
292	C₂×D₄	—	26	2	no	—
293	C₂×D₄	—	26	1	no	—
294	C₂×D₄	C₂×C₄×D₁₃	1	2	yes	—
295	C₂²×C₄	—	2	1	no	—
296	C₂²×C₄	—	2	2	no	—
297	C₂²×C₄	—	2	2	no	—
298	C₂²×C₄	—	8	2	no	—
299	C₂²×C₄	—	26	1	no	—
300	C₂²×C₄	—	26	2	no	—
301	C₂²×C₄	—	26	2	no	—
302	C₂²×C₄	—	104	2	no	—
303	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
304	C₂²×C₄	#6127	1	1	yes	characteristic
305	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
306	D₈	—	26	4	no	—
307	D₈	—	26	4	no	—
308	M₁₆	—	8	4	no	—
309	M₁₆	—	104	4	no	—
310	C₂×C₈	—	2	2	no	—
311	C₂×C₈	—	13	4	no	—
312	C₂×C₈	—	13	1	no	—
313	C₂×C₈	—	13	1	no	—
314	C₂×C₈	—	13	1	no	—
315	C₂×C₈	—	13	1	no	—
316	C₂×C₈	—	26	2	no	—
317	C₂×C₈	—	26	2	no	—
318	C₂×C₈	—	26	2	no	—
319	C₂×C₈	C₂×C₂²⋊D₁₃	1	4	yes	—
320	C₄⋊C₄	—	2	1	no	—
321	C₄⋊C₄	—	13	2	no	—
322	C₄⋊C₄	—	26	1	no	—
323	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
324	C₂²⋊C₄	—	2	2	no	—
325	C₂²⋊C₄	—	2	2	no	—
326	C₂²⋊C₄	—	26	2	no	—
327	C₂²⋊C₄	—	26	2	no	—
328	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
329	C₄²	#6127	1	1	yes	characteristic
330	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
331	C₄²	C₂³×D₁₃	1	1	yes	characteristic
332	C₁₃	#17895	1	1	yes	characteristic, complemented, Sylow
333	C₂³	—	2	2	no	—
334	C₂³	—	4	2	no	—
335	C₂³	—	8	1	no	—
336	C₂³	—	8	1	no	—
337	C₂³	—	26	2	no	—
338	C₂³	—	52	2	no	—
339	C₂³	—	104	1	no	—
340	C₂³	—	104	1	no	—
341	C₂³	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
342	D₄	—	2	2	no	—
343	D₄	—	2	2	no	—
344	D₄	—	4	2	no	—
345	D₄	—	26	2	no	—
346	D₄	—	26	2	no	—
347	D₄	—	52	2	no	—
348	C₂×C₄	—	2	2	no	—
349	C₂×C₄	—	2	2	no	—
350	C₂×C₄	—	4	1	no	—
351	C₂×C₄	—	4	4	no	—
352	C₂×C₄	—	8	2	no	—
353	C₂×C₄	—	8	1	no	—
354	C₂×C₄	—	26	2	no	—
355	C₂×C₄	—	52	4	no	—
356	C₂×C₄	—	104	2	no	—
357	C₂×C₄	—	104	1	no	—
358	C₂×C₄	M₁₆×D₁₃	1	2	yes	—
359	C₂×C₄	#88161	1	2	yes	—
360	C₂×C₄	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
361	C₂×C₄	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
362	C₂×C₄	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
363	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
364	C₂×C₄	C₂×#6127	1	1	yes	characteristic
365	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
366	C₈	—	2	4	no	—
367	C₈	—	4	2	no	—
368	C₈	—	13	2	no	—
369	C₈	—	13	2	no	—
370	C₈	—	26	1	no	—
371	C₈	—	26	1	no	—
372	C₈	—	52	2	no	—
373	C₈	—	52	2	no	—
374	C₂²	—	2	1	no	—
375	C₂²	—	2	1	no	—
376	C₂²	—	4	2	no	—
377	C₂²	—	4	2	no	—
378	C₂²	—	4	2	no	—
379	C₂²	—	8	4	no	—
380	C₂²	—	52	2	no	—
381	C₂²	—	52	2	no	—
382	C₂²	—	52	2	no	—
383	C₂²	—	104	4	no	—
384	C₂²	#11718789	1	2	yes	—
385	C₂²	C₂×C₄×C₂²⋊D₁₃	1	1	yes	characteristic
386	C₄	—	2	1	no	—
387	C₄	—	2	1	no	—
388	C₄	—	2	1	no	—
389	C₄	—	4	2	no	—
390	C₄	—	52	2	no	—
391	C₄	#11718789	1	2	yes	—
392	C₄	C₂×M₁₆×D₁₃	1	1	yes	characteristic
393	C₄	C₂×#88161	1	1	yes	characteristic
394	C₄	#11719540	1	2	yes	—
395	C₂	—	2	2	no	—
396	C₂	—	8	2	no	—
397	C₂	—	104	2	no	—
398	C₂	C₂×#11718789	1	1	yes	characteristic
399	C₂	#13123686	1	1	yes	characteristic
400	C₂	#13123751	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×C₂²⋊D₁₃
commutator	C₂×C₄×C₁₃	C₂³×C₄
Frattini	C₄²	C₂³×D₁₃
Fitting	C₁₃×#2975	C₂
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	C₂²×#6104	C₄
cosocle	C₄²×C₁₃	C₂⁴
hypercenter	#2975	D₁₃
hypocenter	C₁₃	#17895
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #431 ◁ #2975

Complements

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

N	H ≅ G/N	type
1. #13123876	C₂	semidirect
3. #13113748	C₂	semidirect
4. #13113719	C₂	semidirect
5. #13113582	C₂	semidirect
6. #13113227	C₂	semidirect
7. #13113226	C₂	semidirect
8. #13113120	C₂	semidirect
9. C₁₃×#2975	C₂	semidirect
14. C₁₃×#436	C₂²	semidirect
30. #11718349	C₂²	semidirect
31. D₄⋊#1055	C₂²	semidirect
32. #11718075	C₂²	semidirect
33. #11718072	C₂²	semidirect
34. #11718071	C₂²	semidirect
35. #11718046	C₂²	semidirect
36. C₈×#1055	C₂²	semidirect
127. C₂×#1055	M₁₆	semidirect
134. #2975	D₁₃	semidirect
193. #436	C₂×D₁₃	semidirect
332. C₁₃	#17895	semidirect

Maximal subgroups

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

subgroup	index
#13123876	2
C₂×C₄×#6104	2
#13113748	2
#13113719	2
#13113582	2
#13113227	2
#13113226	2
#13113120	2
C₁₃×#2975	2
#17895	13