Subgroups — #16792587

Order 3328.

914 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	D₁₃⋊#431	C₂	1	1	yes	maximal, characteristic
2	C₄×D₁₃⋊M₁₆	C₂	1	1	yes	maximal, characteristic
3	#13130042	C₂	1	4	yes	maximal, complemented
4	#13130038	C₂	1	4	yes	maximal, complemented
5	C₈×#6122	C₂	1	4	yes	maximal, complemented
6	C₂×#11718494	C₂	1	1	yes	maximal, characteristic
7	C₂×D₁₃⋊M₁₆	C₄	1	2	yes	—
8	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
9	#11719125	C₂²	1	2	yes	—
10	D₁₃⋊(C₂²⋊C₈)	C₄	1	2	yes	—
11	C₄×#6122	C₄	1	2	yes	—
12	C₄×#6122	C₂²	1	2	yes	—
13	#11719119	C₄	1	2	yes	—
14	#11719051	C₂²	1	2	yes	—
15	D₁₃⋊(C₄⋊C₈)	C₄	1	2	yes	—
16	#11719049	C₄	1	2	yes	—
17	C₄×#6118	C₄	1	2	yes	—
18	C₄×#6118	C₂²	1	2	yes	—
19	#11719047	C₄	1	2	yes	—
20	C₄×D₁₃⋊C₈	C₂²	1	2	yes	—
21	C₄×D₁₃⋊C₈	C₂²	1	2	yes	—
22	C₂×C₁₃×C₄⋊C₈	C₄	1	1	yes	characteristic
23	C₂×#88060	C₄	1	2	yes	—
24	C₂×C₈×Dic₁₃	C₂²	1	2	yes	—
25	C₂×C₄⋊#1055	C₄	1	1	yes	characteristic
26	#11718494	C₄	1	2	yes	—
27	#11718494	C₄	1	2	yes	—
28	#11718494	C₂²	1	2	yes	—
29	#11718494	C₂²	1	2	yes	—
30	#1057⋊C₈	C₂²	1	8	yes	complemented
31	C₈×#1057	C₂²	1	8	yes	complemented
32	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
33	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
34	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
35	C₂×#6122	C₂×C₄	1	4	yes	—
36	D₁₃⋊M₁₆	C₈	1	16	yes	complemented
37	C₂×#6118	C₂×C₄	1	4	yes	—
38	C₂×D₁₃⋊C₈	C₂×C₄	1	4	yes	—
39	C₂×D₁₃⋊C₈	C₂×C₄	1	4	yes	—
40	C₂²×C₈×C₁₃	C₂×C₄	1	2	yes	—
41	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
42	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
43	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
44	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
45	C₂²×#1055	C₂×C₄	1	2	yes	—
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	C₂×C₄	1	1	yes	characteristic
50	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
51	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
52	C₄²×D₁₃	C₂³	1	1	yes	characteristic
53	C₄²×D₁₃	C₂³	1	1	yes	characteristic
54	C₂²⋊#1057	C₂×C₄	1	4	yes	—
55	#88112	C₂×C₄	1	4	yes	—
56	#88111	C₂×C₄	1	4	yes	—
57	#88110	C₂×C₄	1	4	yes	—
58	#88110	C₂×C₄	1	4	yes	—
59	C₄⋊#1057	C₂×C₄	1	4	yes	—
60	C₄×#1057	C₂×C₄	1	4	yes	—
61	C₄×#1057	C₂×C₄	1	4	yes	—
62	C₄×#1057	C₂³	1	4	yes	—
63	C₄×#1057	C₂³	1	4	yes	—
64	C₁₃×C₄⋊C₈	C₂×C₄	1	2	yes	—
65	C₁₃×C₄⋊C₈	C₂×C₄	1	2	yes	—
66	#88060	C₂×C₄	1	4	yes	—
67	#88060	C₂×C₄	1	4	yes	—
68	C₈×Dic₁₃	C₂×C₄	1	4	yes	—
69	C₈×Dic₁₃	C₂³	1	4	yes	—
70	C₄⋊#1055	C₂×C₄	1	2	yes	—
71	C₄⋊#1055	C₂×C₄	1	2	yes	—
72	#17314	—	13	1	no	maximal, Sylow
73	C₂³×D₁₃	C₄²	1	1	yes	characteristic
74	C₂²×C₄×C₁₃	C₄²	1	1	yes	characteristic
75	C₂²×C₄×C₁₃	C₄²	1	1	yes	characteristic
76	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
77	C₂²×Dic₁₃	C₄²	1	1	yes	characteristic
78	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
79	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
80	C₂×C₄×D₁₃	—	4	2	no	—
81	C₂×C₄×D₁₃	—	4	1	no	—
82	C₂×C₄×D₁₃	—	4	1	no	—
83	C₂×C₄×D₁₃	C₄²	1	1	yes	characteristic
84	C₂×C₄×D₁₃	C₄²	1	1	yes	characteristic
85	C₂×C₄×D₁₃	C₄²	1	1	yes	characteristic
86	C₂×C₄×D₁₃	C₄²	1	1	yes	characteristic
87	C₂×C₄×D₁₃	C₄²	1	1	yes	characteristic
88	C₂×C₄×D₁₃	C₄²	1	1	yes	characteristic
89	C₂×C₄×D₁₃	C₂×C₈	1	8	yes	—
90	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
91	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
92	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
93	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
94	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
95	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
96	#6122	C₂×C₈	1	16	yes	complemented
97	C₂×#1057	C₂²×C₄	1	8	yes	—
98	C₂×#1057	C₂²×C₄	1	8	yes	—
99	#6118	C₂×C₈	1	16	yes	complemented
100	D₁₃⋊C₈	—	4	4	no	—
101	D₁₃⋊C₈	C₂×C₈	1	16	yes	complemented
102	C₂×C₈×C₁₃	—	4	2	no	—
103	C₂×C₈×C₁₃	C₂²×C₄	1	4	yes	—
104	C₄²×C₁₃	C₄²	1	1	yes	characteristic
105	C₄²×C₁₃	C₄²	1	1	yes	characteristic
106	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
107	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
108	C₄×Dic₁₃	C₄²	1	1	yes	characteristic
109	C₄×Dic₁₃	C₄²	1	1	yes	characteristic
110	C₄×Dic₁₃	C₄²	1	1	yes	characteristic
111	C₄×Dic₁₃	C₄²	1	1	yes	characteristic
112	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
113	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
114	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
115	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
116	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
117	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
118	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
119	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
120	C₂×#1055	—	4	2	no	—
121	C₂×#1055	C₂²×C₄	1	4	yes	—
122	C₂×#431	—	13	1	no	—
123	C₂×#431	—	13	1	no	—
124	C₂×C₄×M₁₆	—	13	1	no	—
125	#1450	—	13	4	no	—
126	C₈×M₁₆	—	13	4	no	—
127	C₈×M₁₆	—	13	4	no	—
128	C₂³×C₁₃	C₂×C₄²	1	1	yes	characteristic
129	C₂²×D₁₃	—	4	1	no	—
130	C₂²×D₁₃	—	4	1	no	—
131	C₂²×D₁₃	C₄×C₈	1	4	yes	—
132	C₂²×D₁₃	C₂×C₄²	1	1	yes	characteristic
133	C₂²×D₁₃	C₂×C₄²	1	1	yes	characteristic
134	C₂×C₄×C₁₃	—	2	1	no	—
135	C₂×C₄×C₁₃	—	2	1	no	—
136	C₂×C₄×C₁₃	—	4	1	no	—
137	C₂×C₄×C₁₃	C₄×C₈	1	4	yes	—
138	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
139	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
140	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
141	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
142	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
143	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
144	C₂×Dic₁₃	—	2	2	no	—
145	C₂×Dic₁₃	—	4	1	no	—
146	C₂×Dic₁₃	C₂×C₄²	1	1	yes	characteristic
147	C₂×Dic₁₃	C₂×C₄²	1	1	yes	characteristic
148	C₂×Dic₁₃	C₂×C₄²	1	1	yes	characteristic
149	C₂×Dic₁₃	C₂×C₄²	1	1	yes	characteristic
150	C₂×Dic₁₃	C₂²×C₈	1	4	yes	—
151	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
152	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
153	C₄×D₁₃	—	2	1	no	—
154	C₄×D₁₃	—	2	1	no	—
155	C₄×D₁₃	—	2	1	no	—
156	C₄×D₁₃	—	2	1	no	—
157	C₄×D₁₃	—	2	2	no	—
158	C₄×D₁₃	—	2	2	no	—
159	C₄×D₁₃	—	4	1	no	—
160	C₄×D₁₃	—	4	1	no	—
161	C₄×D₁₃	—	4	1	no	—
162	C₄×D₁₃	—	4	1	no	—
163	C₄×D₁₃	C₄×C₈	1	4	yes	—
164	C₄×D₁₃	C₄×C₈	1	4	yes	—
165	C₄×D₁₃	C₂²×C₈	1	4	yes	—
166	C₄×D₁₃	C₂²×C₈	1	4	yes	—
167	#1057	—	2	8	no	—
168	#1057	C₂²×C₈	1	16	yes	—
169	C₈×C₁₃	—	2	4	no	—
170	#1055	—	2	4	no	—
171	C₂²×M₁₆	—	13	2	no	—
172	C₂²×C₄²	—	13	1	no	—
173	#431	—	13	2	no	—
174	#431	—	13	2	no	—
175	#431	—	13	2	no	—
176	#431	—	13	2	no	—
177	#431	—	13	2	no	—
178	#431	—	13	2	no	—
179	#431	—	13	2	no	—
180	#431	—	13	2	no	—
181	C₂×C₄⋊C₈	—	13	2	no	—
182	C₂×C₄⋊C₈	—	13	1	no	—
183	C₂×C₄⋊C₈	#261	1	1	yes	characteristic
184	C₂×C₂²⋊C₈	—	13	2	no	—
185	C₂×C₂²⋊C₈	—	13	2	no	—
186	C₄×M₁₆	—	13	2	no	—
187	C₄×M₁₆	—	13	2	no	—
188	C₄×M₁₆	—	13	2	no	—
189	C₄×M₁₆	—	13	2	no	—
190	C₂×#97	—	13	2	no	—
191	C₂×C₄×C₈	—	13	2	no	—
192	C₂×C₄×C₈	—	13	2	no	—
193	C₂×C₄×C₈	—	13	2	no	—
194	#322	—	13	8	no	—
195	C₈²	—	13	8	no	—
196	C₂²×C₁₃	—	2	1	no	—
197	C₂²×C₁₃	—	2	1	no	—
198	C₂²×C₁₃	C₂×C₄×C₈	1	2	yes	—
199	C₂²×C₁₃	C₂²×C₄²	1	1	yes	characteristic
200	C₂×D₁₃	—	2	1	no	—
201	C₂×D₁₃	—	2	1	no	—
202	C₂×D₁₃	—	2	1	no	—
203	C₂×D₁₃	—	2	1	no	—
204	C₂×D₁₃	—	4	4	no	—
205	C₂×D₁₃	C₂×C₄×C₈	1	2	yes	—
206	C₂×D₁₃	C₂×C₄×C₈	1	2	yes	—
207	C₄×C₁₃	—	2	1	no	—
208	C₄×C₁₃	—	2	1	no	—
209	C₄×C₁₃	—	2	1	no	—
210	C₄×C₁₃	C₂×C₄×C₈	1	2	yes	—
211	C₄×C₁₃	C₂×C₄×C₈	1	2	yes	—
212	C₄×C₁₃	#568	1	1	yes	characteristic
213	C₄×C₁₃	#568	1	1	yes	characteristic
214	Dic₁₃	—	2	1	no	—
215	Dic₁₃	—	2	1	no	—
216	Dic₁₃	—	2	1	no	—
217	Dic₁₃	C₂×C₄×C₈	1	2	yes	—
218	Dic₁₃	C₂³×C₈	1	2	yes	—
219	Dic₁₃	#568	1	2	yes	—
220	C₂³×C₄	—	13	1	no	—
221	C₂³×C₄	—	13	1	no	—
222	C₂³×C₄	—	13	1	no	—
223	C₂×M₁₆	—	13	4	no	—
224	C₂×M₁₆	—	13	4	no	—
225	C₂×M₁₆	—	13	16	no	—
226	C₂²×C₈	—	13	4	no	—
227	C₂²×C₈	—	13	4	no	—
228	C₂²×C₈	—	13	2	no	—
229	C₂²×C₈	C₂×#261	1	2	yes	—
230	C₂×C₄²	—	13	1	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	C₂×#261	1	1	yes	characteristic
242	C₄⋊C₈	—	13	4	no	—
243	C₄⋊C₈	—	13	4	no	—
244	C₄⋊C₈	—	13	2	no	—
245	C₄⋊C₈	—	13	2	no	—
246	C₄⋊C₈	C₂×#261	1	2	yes	—
247	C₄⋊C₈	C₂×#261	1	2	yes	—
248	C₂²⋊C₈	—	13	4	no	—
249	C₂²⋊C₈	—	13	4	no	—
250	C₂²⋊C₈	—	13	4	no	—
251	C₂²⋊C₈	—	13	4	no	—
252	#97	—	13	4	no	—
253	#97	—	13	4	no	—
254	C₄×C₈	—	13	4	no	—
255	C₄×C₈	—	13	4	no	—
256	C₄×C₈	—	13	4	no	—
257	C₄×C₈	—	13	4	no	—
258	C₄×C₈	—	13	4	no	—
259	C₄×C₈	—	13	4	no	—
260	C₂×C₁₃	—	2	2	no	—
261	C₂×C₁₃	C₂²×C₄×C₈	1	1	yes	characteristic
262	C₂×C₁₃	#2873	1	1	yes	characteristic
263	C₂×C₁₃	#2873	1	1	yes	characteristic
264	D₁₃	—	2	2	no	—
265	D₁₃	—	2	2	no	—
266	C₂⁴	—	13	1	no	—
267	C₂²×C₄	—	13	1	no	—
268	C₂²×C₄	—	13	8	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	—	52	1	no	—
284	C₂²×C₄	—	52	1	no	—
285	C₂²×C₄	—	52	2	no	—
286	C₂²×C₄	C₄×#261	1	1	yes	characteristic
287	C₂²×C₄	C₄×#261	1	1	yes	characteristic
288	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
289	M₁₆	—	13	16	no	—
290	M₁₆	—	13	16	no	—
291	C₂×C₈	—	4	2	no	—
292	C₂×C₈	—	13	8	no	—
293	C₂×C₈	—	13	16	no	—
294	C₂×C₈	—	13	8	no	—
295	C₂×C₈	—	13	4	no	—
296	C₂×C₈	—	52	2	no	—
297	C₂×C₈	—	52	4	no	—
298	C₂×C₈	C₂²×#261	1	4	yes	—
299	C₄²	—	13	1	no	—
300	C₄²	—	13	1	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	C₄×#261	1	1	yes	characteristic
312	C₄²	C₄×#261	1	1	yes	characteristic
313	C₄²	C₂²×#261	1	1	yes	characteristic
314	C₄²	C₂²×#261	1	1	yes	characteristic
315	C₁₃	#17314	1	1	yes	characteristic, complemented, Sylow
316	C₂³	—	13	1	no	—
317	C₂³	—	13	1	no	—
318	C₂³	—	13	4	no	—
319	C₂³	—	52	1	no	—
320	C₂³	—	52	1	no	—
321	C₂³	C₂×C₄×#261	1	1	yes	characteristic
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	4	1	no	—
325	C₂×C₄	—	13	4	no	—
326	C₂×C₄	—	13	1	no	—
327	C₂×C₄	—	13	1	no	—
328	C₂×C₄	—	13	1	no	—
329	C₂×C₄	—	13	4	no	—
330	C₂×C₄	—	13	4	no	—
331	C₂×C₄	—	13	4	no	—
332	C₂×C₄	—	13	4	no	—
333	C₂×C₄	—	13	1	no	—
334	C₂×C₄	—	13	1	no	—
335	C₂×C₄	—	13	1	no	—
336	C₂×C₄	—	26	2	no	—
337	C₂×C₄	—	26	2	no	—
338	C₂×C₄	—	26	2	no	—
339	C₂×C₄	—	26	1	no	—
340	C₂×C₄	—	26	1	no	—
341	C₂×C₄	—	26	1	no	—
342	C₂×C₄	—	26	1	no	—
343	C₂×C₄	—	52	1	no	—
344	C₂×C₄	—	52	1	no	—
345	C₂×C₄	—	52	1	no	—
346	C₂×C₄	—	52	1	no	—
347	C₂×C₄	—	52	1	no	—
348	C₂×C₄	C₈×#261	1	4	yes	—
349	C₂×C₄	C₂×C₄×#261	1	1	yes	characteristic
350	C₂×C₄	C₂×C₄×#261	1	1	yes	characteristic
351	C₂×C₄	C₂×C₄×#261	1	1	yes	characteristic
352	C₂×C₄	C₂×C₄×#261	1	1	yes	characteristic
353	C₂×C₄	C₂×C₄×#261	1	1	yes	characteristic
354	C₂×C₄	C₂³×#261	1	1	yes	characteristic
355	C₈	—	2	4	no	—
356	C₈	—	13	16	no	—
357	C₈	—	26	8	no	—
358	C₈	—	26	4	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	2	1	no	—
361	C₂²	—	13	2	no	—
362	C₂²	—	13	2	no	—
363	C₂²	—	26	1	no	—
364	C₂²	—	26	1	no	—
365	C₂²	—	26	1	no	—
366	C₂²	—	26	1	no	—
367	C₂²	—	52	4	no	—
368	C₂²	C₂×C₈×#261	1	2	yes	—
369	C₂²	C₂²×C₄×#261	1	1	yes	characteristic
370	C₄	—	2	1	no	—
371	C₄	—	2	1	no	—
372	C₄	—	2	1	no	—
373	C₄	—	13	2	no	—
374	C₄	—	13	2	no	—
375	C₄	—	13	2	no	—
376	C₄	—	26	1	no	—
377	C₄	—	26	1	no	—
378	C₄	—	26	1	no	—
379	C₄	C₂×C₈×#261	1	2	yes	—
380	C₄	C₂×C₈×#261	1	2	yes	—
381	C₄	#11719621	1	1	yes	characteristic
382	C₄	#11719625	1	1	yes	characteristic
383	C₂	—	2	2	no	—
384	C₂	—	26	2	no	—
385	C₂	—	26	2	no	—
386	C₂	C₂²×C₈×#261	1	1	yes	characteristic
387	C₂	#13131399	1	1	yes	characteristic
388	C₂	#13131402	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂³×#261
commutator	C₂×C₁₃	C₂²×C₄×C₈
Fitting	C₂×C₁₃×C₄⋊C₈	C₄
socle	C₂²×C₁₃	C₂²×C₄²
prime radical	C₂³×D₁₃	C₄²
cosocle	C₄×Dic₁₃	C₂⁴
hypercenter	C₂×C₄⋊C₈	#261
hypocenter	C₁₃	#17314
LCS	G ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄⋊C₈

Complements

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

N	H ≅ G/N	type
3. #13130042	C₂	semidirect
4. #13130038	C₂	semidirect
5. C₈×#6122	C₂	semidirect
30. #1057⋊C₈	C₂²	semidirect
31. C₈×#1057	C₂²	semidirect
36. D₁₃⋊M₁₆	C₈	semidirect
96. #6122	C₂×C₈	semidirect
99. #6118	C₂×C₈	semidirect
101. D₁₃⋊C₈	C₂×C₈	semidirect
315. C₁₃	#17314	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
#13130042	2
#13130038	2
C₈×#6122	2
C₂×#11718494	2
#17314	13