Subgroups — #16015557

Order 3328.

826 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#88038	C₂	1	1	yes	maximal, characteristic
2	C₂×D₁₃×M₃₂	C₂	1	1	yes	maximal, characteristic
3	D₁₃×#405	C₂	1	1	yes	maximal, characteristic
4	#13116435	C₂	1	1	yes	maximal, characteristic, complemented
5	#13116434	C₂	1	2	yes	maximal, complemented
6	#13116433	C₂	1	1	yes	maximal, characteristic, complemented
7	#13116432	C₂	1	1	yes	maximal, characteristic, complemented
8	#13116431	C₂	1	2	yes	maximal, complemented
9	#13116429	C₂	1	2	yes	maximal, complemented
10	C₄×#88038	C₂	1	2	yes	maximal, complemented
11	C₁₃×#2108	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×M₁₆×D₁₃	C₄	1	1	yes	characteristic
13	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
14	D₁₃×#117	C₄	1	1	yes	characteristic
15	C₂×C₁₃×M₃₂	C₂²	1	1	yes	characteristic
16	C₂²×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
17	C₁₃×#405	C₂²	1	1	yes	characteristic
18	#11718783	C₄	1	1	yes	characteristic
19	#11718762	C₂²	1	1	yes	characteristic
20	C₂×#88052	C₂²	1	1	yes	characteristic
21	C₂²×#6090	C₂²	1	1	yes	characteristic
22	#11718658	C₄	1	1	yes	characteristic
23	D₁₃×M₃₂	C₄	1	8	yes	complemented
24	C₂×#88038	C₄	1	8	yes	complemented
25	C₂×#88038	C₂²	1	1	yes	characteristic
26	C₂×#88038	C₂²	1	2	yes	—
27	C₂×#88038	C₂²	1	1	yes	characteristic
28	C₂×#88038	C₂²	1	1	yes	characteristic
29	C₂×#88038	C₂²	1	1	yes	characteristic
30	C₂×C₁₆×D₁₃	C₂²	1	2	yes	—
31	#11718369	C₄	1	2	yes	—
32	D₁₃×#97	C₄	1	2	yes	—
33	#11718350	C₂²	1	2	yes	—
34	C₄×C₈×D₁₃	C₂²	1	2	yes	—
35	C₁₃×#346	C₂²	1	2	yes	complemented
36	C₄×C₁₃×C₁₆	C₂²	1	2	yes	complemented
37	#11718094	C₂²	1	2	yes	complemented
38	#11718094	C₂²	1	2	yes	complemented
39	C₁₆×Dic₁₃	C₂²	1	2	yes	complemented
40	C₁₆×Dic₁₃	C₂²	1	2	yes	complemented
41	#11718053	C₂²	1	2	yes	complemented
42	C₄×#6090	C₂²	1	2	yes	complemented
43	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
44	C₂×C₁₃×M₁₆	C₂×C₄	1	1	yes	characteristic
45	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
46	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
47	#88180	C₂×C₄	1	1	yes	characteristic
48	C₂×#6099	C₂×C₄	1	1	yes	characteristic
49	C₂²×#1055	C₂×C₄	1	1	yes	characteristic
50	M₁₆×D₁₃	C₈	1	8	yes	—
51	C₂×#6094	C₂×C₄	1	2	yes	—
52	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
53	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
54	C₂×C₈×D₁₃	C₂×C₄	1	4	yes	—
55	C₂×C₈×D₁₃	C₂×C₄	1	4	yes	—
56	C₂×C₈×D₁₃	C₂×C₄	1	2	yes	—
57	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
58	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
59	#88146	C₈	1	2	yes	—
60	C₄⋊C₄×D₁₃	C₈	1	2	yes	—
61	C₂²⋊C₄×D₁₃	C₈	1	2	yes	—
62	#88131	C₈	1	2	yes	—
63	#88126	C₂×C₄	1	2	yes	—
64	C₄²×D₁₃	C₂×C₄	1	2	yes	—
65	C₁₃×M₃₂	C₂×C₄	1	4	yes	complemented
66	C₂×C₁₃×C₁₆	C₂×C₄	1	4	yes	complemented
67	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
68	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
69	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
70	C₁₃×#97	C₂×C₄	1	2	yes	—
71	C₄×C₈×C₁₃	C₂³	1	2	yes	—
72	#88055	C₂×C₄	1	2	yes	—
73	#88055	C₂×C₄	1	2	yes	—
74	C₈×Dic₁₃	C₂×C₄	1	2	yes	—
75	C₈×Dic₁₃	C₂³	1	2	yes	—
76	#88052	C₂×C₄	1	4	yes	complemented
77	C₂×#6090	C₂×C₄	1	4	yes	complemented
78	C₂×#6090	C₂³	1	1	yes	characteristic
79	C₂×#6090	C₂³	1	1	yes	characteristic
80	C₂×#6090	C₂³	1	2	yes	—
81	#88043	C₂×C₄	1	2	yes	—
82	C₄×#1055	C₂×C₄	1	2	yes	—
83	#88038	C₂×C₄	1	4	yes	—
84	#88038	C₂×C₄	1	4	yes	—
85	#88038	C₂×C₄	1	8	yes	—
86	#88038	C₂×C₄	1	4	yes	complemented
87	#88038	C₂×C₄	1	4	yes	complemented
88	C₁₆×D₁₃	C₂×C₄	1	8	yes	complemented
89	#33324	—	13	1	no	maximal, Sylow
90	C₂³×D₁₃	C₂×C₈	1	1	yes	characteristic
91	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
92	C₂²×Dic₁₃	C₂×C₈	1	1	yes	characteristic
93	C₂×C₄×D₁₃	C₄²	1	4	yes	—
94	C₂×C₄×D₁₃	C₂×C₈	1	4	yes	—
95	C₂×C₄×D₁₃	C₂×C₈	1	1	yes	characteristic
96	C₂×C₄×D₁₃	C₂×C₈	1	1	yes	characteristic
97	C₂×C₄×D₁₃	C₂×C₈	1	4	yes	—
98	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
99	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
100	C₁₃×M₁₆	C₂×C₈	1	4	yes	—
101	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
102	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
103	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
104	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
105	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
106	C₁₃×C₄⋊C₄	C₂×C₈	1	2	yes	—
107	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
108	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
109	C₂²⋊Dic₁₃	C₂×C₈	1	2	yes	—
110	#6103	C₂×C₈	1	4	yes	—
111	C₄⋊Dic₁₃	C₂×C₈	1	2	yes	—
112	#6101	C₂×C₈	1	4	yes	—
113	C₄×Dic₁₃	C₂×C₈	1	4	yes	—
114	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
115	#6099	C₂×C₈	1	4	yes	—
116	C₂×#1055	C₄²	1	4	yes	—
117	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
118	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
119	C₂×#1055	C₂²×C₄	1	2	yes	—
120	#6094	C₂×C₈	1	8	yes	—
121	C₈×D₁₃	C₄²	1	4	yes	—
122	C₈×D₁₃	C₄²	1	4	yes	—
123	C₈×D₁₃	C₂×C₈	1	8	yes	—
124	C₈×D₁₃	C₂²×C₄	1	2	yes	—
125	C₈×D₁₃	C₂²×C₄	1	2	yes	—
126	C₈×D₁₃	C₂²×C₄	1	2	yes	—
127	C₈×D₁₃	C₂²×C₄	1	2	yes	—
128	C₁₃×C₁₆	C₂²×C₄	1	2	yes	—
129	C₁₃×C₁₆	C₂²×C₄	1	2	yes	—
130	C₁₃×C₁₆	C₂²×C₄	1	4	yes	—
131	#6090	C₂²×C₄	1	4	yes	—
132	#6090	C₂²×C₄	1	2	yes	—
133	#6090	C₂²×C₄	1	2	yes	—
134	C₂²×M₃₂	—	13	1	no	—
135	C₂²×M₃₂	—	13	1	no	—
136	C₂×#405	—	13	1	no	—
137	#2108	—	13	1	no	—
138	#2108	—	13	1	no	—
139	#2108	—	13	1	no	—
140	#2108	—	13	2	no	—
141	#2108	—	13	2	no	—
142	#2108	D₁₃	1	1	yes	characteristic, complemented
143	C₄×M₃₂	—	13	2	no	—
144	C₄×M₃₂	—	13	2	no	—
145	C₂³×C₁₃	C₂²×C₈	1	1	yes	characteristic
146	C₂²×D₁₃	—	4	2	no	—
147	C₂²×D₁₃	C₄×C₈	1	4	yes	—
148	C₂²×D₁₃	C₂²×C₈	1	1	yes	characteristic
149	C₂²×D₁₃	C₂²×C₈	1	1	yes	characteristic
150	C₂×C₄×C₁₃	C₂×C₄²	1	2	yes	—
151	C₂×C₄×C₁₃	C₂²×C₈	1	4	yes	—
152	C₂×C₄×C₁₃	C₂²×C₈	1	2	yes	—
153	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
154	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
155	C₂×Dic₁₃	C₄×C₈	1	4	yes	—
156	C₂×Dic₁₃	C₂²×C₈	1	4	yes	—
157	C₂×Dic₁₃	C₂²×C₈	1	1	yes	characteristic
158	C₂×Dic₁₃	C₂²×C₈	1	1	yes	characteristic
159	C₄×D₁₃	—	4	4	no	—
160	C₄×D₁₃	C₄×C₈	1	4	yes	—
161	C₄×D₁₃	C₄×C₈	1	4	yes	—
162	C₄×D₁₃	C₂×C₄²	1	2	yes	—
163	C₄×D₁₃	C₂×C₄²	1	2	yes	—
164	C₄×D₁₃	C₂²×C₈	1	2	yes	—
165	C₄×D₁₃	C₂²×C₈	1	2	yes	—
166	C₈×C₁₃	C₂×C₄²	1	2	yes	—
167	C₈×C₁₃	C₂²×C₈	1	4	yes	—
168	C₈×C₁₃	C₂³×C₄	1	1	yes	characteristic
169	C₈×C₁₃	C₂³×C₄	1	1	yes	characteristic
170	#1055	C₂×C₄²	1	2	yes	—
171	#1055	C₂×C₄²	1	2	yes	—
172	#1055	C₂²×C₈	1	4	yes	—
173	C₂²×M₁₆	—	13	1	no	—
174	C₂³×C₈	—	13	1	no	—
175	C₂×#117	—	13	1	no	—
176	C₂×M₃₂	—	13	1	no	—
177	C₂×M₃₂	—	13	8	no	—
178	C₂×M₃₂	—	13	8	no	—
179	C₂×M₃₂	—	13	1	no	—
180	C₂×M₃₂	—	13	2	no	—
181	C₂×M₃₂	—	13	1	no	—
182	C₂×M₃₂	—	13	1	no	—
183	C₂×M₃₂	—	13	1	no	—
184	C₂×M₃₂	C₂×D₁₃	1	1	yes	characteristic
185	C₂²×C₁₆	—	13	1	no	—
186	C₂²×C₁₆	—	13	2	no	—
187	C₂²×C₁₆	C₂×D₁₃	1	1	yes	characteristic
188	#405	—	13	1	no	—
189	#405	—	13	1	no	—
190	#405	—	13	1	no	—
191	#405	—	13	2	no	—
192	#405	—	13	2	no	—
193	#405	C₂×D₁₃	1	1	yes	characteristic
194	C₂×#97	—	13	2	no	—
195	C₂×C₄×C₈	—	13	2	no	—
196	#346	—	13	2	no	—
197	#346	—	13	2	no	—
198	#346	—	13	2	no	—
199	#346	C₂×D₁₃	1	2	yes	complemented
200	C₄×C₁₆	—	13	2	no	—
201	C₄×C₁₆	—	13	2	no	—
202	C₄×C₁₆	—	13	2	no	—
203	C₄×C₁₆	C₂×D₁₃	1	2	yes	complemented
204	C₂²×C₁₃	—	2	2	no	—
205	C₂²×C₁₃	C₂×C₄×C₈	1	2	yes	—
206	C₂²×C₁₃	C₂³×C₈	1	1	yes	characteristic
207	C₂×D₁₃	—	2	2	no	—
208	C₂×D₁₃	—	2	2	no	—
209	C₂×D₁₃	—	4	4	no	—
210	C₂×D₁₃	C₂×C₄×C₈	1	2	yes	—
211	C₂×D₁₃	C₂×C₄×C₈	1	2	yes	—
212	C₄×C₁₃	—	2	4	no	—
213	C₄×C₁₃	C₂×C₄×C₈	1	2	yes	—
214	C₄×C₁₃	C₂²×C₄²	1	1	yes	characteristic
215	C₄×C₁₃	C₂³×C₈	1	1	yes	characteristic
216	Dic₁₃	—	2	4	no	—
217	Dic₁₃	C₂×C₄×C₈	1	2	yes	—
218	Dic₁₃	C₂×C₄×C₈	1	2	yes	—
219	C₂³×C₄	—	13	1	no	—
220	C₂×M₁₆	—	13	1	no	—
221	C₂×M₁₆	—	13	8	no	—
222	C₂×M₁₆	—	13	2	no	—
223	C₂×M₁₆	C₄×D₁₃	1	1	yes	characteristic
224	C₂²×C₈	—	13	1	no	—
225	C₂²×C₈	—	13	1	no	—
226	C₂²×C₈	—	13	1	no	—
227	C₂²×C₈	—	13	4	no	—
228	C₂²×C₈	—	13	4	no	—
229	C₂²×C₈	—	13	2	no	—
230	C₂²×C₈	—	13	1	no	—
231	C₂²×C₈	—	13	1	no	—
232	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
233	#117	—	13	1	no	—
234	#117	—	13	2	no	—
235	#117	—	13	2	no	—
236	#117	—	13	2	no	—
237	#117	C₄×D₁₃	1	1	yes	characteristic
238	C₂×C₄⋊C₄	—	13	2	no	—
239	C₂×C₂²⋊C₄	—	13	2	no	—
240	C₂×C₄²	—	13	2	no	—
241	M₃₂	—	13	4	no	—
242	M₃₂	—	13	8	no	—
243	M₃₂	—	13	4	no	—
244	M₃₂	—	13	4	no	—
245	M₃₂	—	13	4	no	—
246	M₃₂	—	13	4	no	—
247	M₃₂	C₄×D₁₃	1	4	yes	complemented
248	C₂×C₁₆	—	13	4	no	—
249	C₂×C₁₆	—	13	1	no	—
250	C₂×C₁₆	—	13	2	no	—
251	C₂×C₁₆	—	13	1	no	—
252	C₂×C₁₆	—	13	8	no	—
253	C₂×C₁₆	C₄×D₁₃	1	4	yes	complemented
254	C₂×C₁₆	C₂²×D₁₃	1	1	yes	characteristic
255	C₂×C₁₆	C₂²×D₁₃	1	2	yes	—
256	C₂×C₁₆	C₂²×D₁₃	1	1	yes	characteristic
257	#97	—	13	2	no	—
258	#97	—	13	2	no	—
259	#97	—	13	2	no	—
260	#97	C₄×D₁₃	1	2	yes	—
261	C₄×C₈	—	13	2	no	—
262	C₄×C₈	—	13	2	no	—
263	C₄×C₈	—	13	2	no	—
264	C₄×C₈	C₂²×D₁₃	1	2	yes	—
265	C₂×C₁₃	—	2	2	no	—
266	C₂×C₁₃	C₂²×C₄×C₈	1	1	yes	characteristic
267	C₂×C₁₃	#3407	1	2	yes	—
268	D₁₃	—	2	2	no	—
269	D₁₃	—	2	2	no	—
270	C₂⁴	—	13	1	no	—
271	C₂²×C₄	—	13	1	no	—
272	C₂²×C₄	—	13	4	no	—
273	C₂²×C₄	—	13	1	no	—
274	C₂²×C₄	—	13	1	no	—
275	C₂²×C₄	—	13	4	no	—
276	C₂²×C₄	—	13	1	no	—
277	C₂²×C₄	—	13	1	no	—
278	C₂²×C₄	—	13	4	no	—
279	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
280	M₁₆	—	13	4	no	—
281	M₁₆	—	13	8	no	—
282	M₁₆	C₈×D₁₃	1	4	yes	—
283	C₂×C₈	—	13	4	no	—
284	C₂×C₈	—	13	1	no	—
285	C₂×C₈	—	13	2	no	—
286	C₂×C₈	—	13	1	no	—
287	C₂×C₈	—	13	4	no	—
288	C₂×C₈	—	13	4	no	—
289	C₂×C₈	—	13	8	no	—
290	C₂×C₈	—	13	2	no	—
291	C₂×C₈	—	13	2	no	—
292	C₂×C₈	—	13	2	no	—
293	C₂×C₈	—	13	2	no	—
294	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
295	C₂×C₈	C₂×C₄×D₁₃	1	2	yes	—
296	C₂×C₈	C₂×C₄×D₁₃	1	2	yes	—
297	C₂×C₈	C₂×C₄×D₁₃	1	2	yes	—
298	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
299	C₄⋊C₄	—	13	4	no	—
300	C₄⋊C₄	—	13	2	no	—
301	C₄⋊C₄	C₈×D₁₃	1	2	yes	—
302	C₂²⋊C₄	—	13	2	no	—
303	C₂²⋊C₄	—	13	4	no	—
304	C₂²⋊C₄	C₈×D₁₃	1	2	yes	—
305	C₄²	—	13	4	no	—
306	C₄²	—	13	2	no	—
307	C₄²	C₂×C₄×D₁₃	1	2	yes	—
308	C₁₆	—	13	2	no	—
309	C₁₆	—	13	2	no	—
310	C₁₆	—	13	4	no	—
311	C₁₆	C₂×C₄×D₁₃	1	4	yes	—
312	C₁₆	C₂×C₄×D₁₃	1	2	yes	—
313	C₁₆	C₂×C₄×D₁₃	1	2	yes	—
314	C₁₃	#33324	1	1	yes	characteristic, complemented, Sylow
315	C₂³	—	13	1	no	—
316	C₂³	—	13	1	no	—
317	C₂³	—	13	4	no	—
318	C₂³	—	52	2	no	—
319	C₂³	C₂×C₈×D₁₃	1	1	yes	characteristic
320	C₂×C₄	—	13	1	no	—
321	C₂×C₄	—	13	1	no	—
322	C₂×C₄	—	13	4	no	—
323	C₂×C₄	—	13	2	no	—
324	C₂×C₄	—	13	2	no	—
325	C₂×C₄	—	13	2	no	—
326	C₂×C₄	—	13	2	no	—
327	C₂×C₄	—	13	4	no	—
328	C₂×C₄	—	13	4	no	—
329	C₂×C₄	—	13	4	no	—
330	C₂×C₄	—	52	4	no	—
331	C₂×C₄	C₄²×D₁₃	1	2	yes	—
332	C₂×C₄	C₂×C₈×D₁₃	1	4	yes	—
333	C₂×C₄	C₂×C₈×D₁₃	1	2	yes	—
334	C₂×C₄	C₂×C₈×D₁₃	1	1	yes	characteristic
335	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
336	C₈	—	13	2	no	—
337	C₈	—	13	2	no	—
338	C₈	—	13	4	no	—
339	C₈	C₄²×D₁₃	1	2	yes	—
340	C₈	C₂×C₈×D₁₃	1	4	yes	—
341	C₈	C₂²×C₄×D₁₃	1	1	yes	characteristic
342	C₈	C₂²×C₄×D₁₃	1	1	yes	characteristic
343	C₂²	—	2	2	no	—
344	C₂²	—	13	2	no	—
345	C₂²	—	13	2	no	—
346	C₂²	—	26	2	no	—
347	C₂²	—	26	2	no	—
348	C₂²	—	52	4	no	—
349	C₂²	C₄×C₈×D₁₃	1	2	yes	—
350	C₂²	C₂²×C₈×D₁₃	1	1	yes	characteristic
351	C₄	—	2	4	no	—
352	C₄	—	13	2	no	—
353	C₄	—	13	2	no	—
354	C₄	—	26	4	no	—
355	C₄	C₄×C₈×D₁₃	1	2	yes	—
356	C₄	C₂×C₄²×D₁₃	1	1	yes	characteristic
357	C₄	C₂²×C₈×D₁₃	1	1	yes	characteristic
358	C₂	—	2	2	no	—
359	C₂	—	26	2	no	—
360	C₂	—	26	2	no	—
361	C₂	C₂×C₄×C₈×D₁₃	1	1	yes	characteristic
362	C₂	#13127937	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂×C₈	C₂³×D₁₃
commutator	C₂×C₁₃	C₂²×C₄×C₈
Fitting	C₁₃×#2108	C₂
socle	C₂²×C₁₃	C₂³×C₈
prime radical	C₂³×D₁₃	C₂×C₈
cosocle	C₂×C₈×C₁₃	C₂⁴
hypercenter	#2108	D₁₃
hypocenter	C₁₃	#33324
LCS	G ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₈ ◁ #2108

Complements

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

N	H ≅ G/N	type
4. #13116435	C₂	semidirect
5. #13116434	C₂	semidirect
6. #13116433	C₂	semidirect
7. #13116432	C₂	semidirect
8. #13116431	C₂	semidirect
9. #13116429	C₂	semidirect
10. C₄×#88038	C₂	semidirect
11. C₁₃×#2108	C₂	semidirect
23. D₁₃×M₃₂	C₄	semidirect
24. C₂×#88038	C₄	semidirect
35. C₁₃×#346	C₂²	semidirect
36. C₄×C₁₃×C₁₆	C₂²	semidirect
37. #11718094	C₂²	semidirect
38. #11718094	C₂²	semidirect
39. C₁₆×Dic₁₃	C₂²	semidirect
40. C₁₆×Dic₁₃	C₂²	semidirect
41. #11718053	C₂²	semidirect
42. C₄×#6090	C₂²	semidirect
65. C₁₃×M₃₂	C₂×C₄	semidirect
66. C₂×C₁₃×C₁₆	C₂×C₄	semidirect
76. #88052	C₂×C₄	semidirect
77. C₂×#6090	C₂×C₄	semidirect
86. #88038	C₂×C₄	semidirect
87. #88038	C₂×C₄	semidirect
88. C₁₆×D₁₃	C₂×C₄	semidirect
142. #2108	D₁₃	semidirect
199. #346	C₂×D₁₃	semidirect
203. C₄×C₁₆	C₂×D₁₃	semidirect
247. M₃₂	C₄×D₁₃	semidirect
253. C₂×C₁₆	C₄×D₁₃	semidirect
314. C₁₃	#33324	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#88038	2
C₂×D₁₃×M₃₂	2
D₁₃×#405	2
#13116435	2
#13116434	2
#13116433	2
#13116432	2
#13116431	2
#13116429	2
C₄×#88038	2
C₁₃×#2108	2
#33324	13