Subgroups — #15881732

Order 3328.

832 conjugacy classes of subgroups.

The subgroup lattice has 376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11718340	C₂	1	2	yes	maximal
2	C₄²×Dic₂₆	C₂	1	1	yes	maximal, characteristic
3	#13115558	C₂	1	4	yes	maximal
4	#13115554	C₂	1	2	yes	maximal
5	#13114988	C₂	1	1	yes	maximal, characteristic
6	#13114987	C₂	1	2	yes	maximal
7	#13114691	C₂	1	2	yes	maximal
8	C₄×C₁₃×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
9	C₂×C₄×Dic₂₆	C₄	1	1	yes	characteristic
10	C₂×C₄×Dic₂₆	C₄	1	1	yes	characteristic
11	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
12	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
13	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
14	C₂×C₄×C₈×C₁₃	C₂²	1	2	yes	—
15	C₄³×C₁₃	C₂²	1	1	yes	characteristic
16	C₂×#88055	C₂²	1	4	yes	—
17	C₂×#88054	C₂²	1	4	yes	—
18	C₂×#88054	C₂²	1	4	yes	—
19	C₄×C₄⋊Dic₁₃	C₄	1	1	yes	characteristic
20	C₄×C₄⋊Dic₁₃	C₄	1	1	yes	characteristic
21	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
22	C₄×#6101	C₄	1	2	yes	—
23	C₄×#6101	C₄	1	2	yes	—
24	C₄×#6101	C₂²	1	2	yes	—
25	C₄²×Dic₁₃	C₂²	1	2	yes	—
26	C₂×C₄⋊#1055	C₂²	1	2	yes	—
27	C₂×C₄⋊#1055	C₂²	1	2	yes	—
28	C₂×C₄⋊#1055	C₂²	1	2	yes	—
29	#11718340	—	2	8	no	—
30	C₁₃×#336	C₂²	1	2	yes	—
31	#11718142	C₂²	1	4	yes	—
32	C₂²×Dic₂₆	C₂×C₄	1	1	yes	characteristic
33	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
34	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
35	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
36	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
37	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
38	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
39	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
40	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
41	C₂×C₄²×C₁₃	C₂³	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	C₂×C₄	1	1	yes	characteristic
45	C₂×#6101	C₂×C₄	1	2	yes	—
46	C₂×#6101	C₂×C₄	1	2	yes	—
47	C₂×#6101	C₂×C₄	1	2	yes	—
48	C₂×C₄×Dic₁₃	C₂×C₄	1	2	yes	—
49	C₂×C₄×Dic₁₃	C₂×C₄	1	2	yes	—
50	C₂×C₄×Dic₁₃	C₂×C₄	1	2	yes	—
51	C₂×C₄×Dic₁₃	C₂×C₄	1	2	yes	—
52	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
53	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
54	C₂²×#1055	C₂³	1	4	yes	—
55	C₄×Dic₂₆	—	2	4	no	—
56	C₄×Dic₂₆	—	2	4	no	—
57	C₄×Dic₂₆	D₄	1	4	yes	—
58	C₄×Dic₂₆	Q₈	1	4	yes	—
59	C₁₃×C₄⋊C₈	—	2	2	no	—
60	C₁₃×C₄⋊C₈	Q₈	1	4	yes	complemented
61	C₄×C₈×C₁₃	—	2	4	no	—
62	#88071	C₂×C₄	1	2	yes	—
63	#88071	C₂×C₄	1	2	yes	—
64	#88071	C₂×C₄	1	2	yes	—
65	#88055	—	2	8	no	—
66	#88054	—	2	8	no	—
67	#88054	—	4	4	no	—
68	C₄⋊#1055	—	2	4	no	—
69	C₄⋊#1055	—	2	4	no	—
70	C₄⋊#1055	—	4	2	no	—
71	#22722	—	13	1	no	maximal, Sylow
72	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
73	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
74	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
75	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
76	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
77	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
78	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
79	C₂²×Dic₁₃	C₂²×C₄	1	2	yes	—
80	C₂²×Dic₁₃	C₂²×C₄	1	2	yes	—
81	C₂²×Dic₁₃	C₂²×C₄	1	2	yes	—
82	C₂²×Dic₁₃	C₂²×C₄	1	2	yes	—
83	C₂×Dic₂₆	—	2	2	no	—
84	C₂×Dic₂₆	—	2	2	no	—
85	C₂×Dic₂₆	C₄⋊C₄	1	4	yes	—
86	C₂×C₈×C₁₃	—	2	2	no	—
87	C₂×C₈×C₁₃	—	2	2	no	—
88	C₂×C₈×C₁₃	—	2	2	no	—
89	C₂×C₈×C₁₃	—	2	2	no	—
90	C₂×C₈×C₁₃	—	2	2	no	—
91	C₂×C₈×C₁₃	C₂×Q₈	1	4	yes	—
92	C₄²×C₁₃	—	2	2	no	—
93	C₄²×C₁₃	—	2	2	no	—
94	C₄²×C₁₃	—	2	1	no	—
95	C₄²×C₁₃	—	2	1	no	—
96	C₄²×C₁₃	—	4	1	no	—
97	C₄²×C₁₃	M₁₆	1	4	yes	—
98	C₄²×C₁₃	C₂×D₄	1	2	yes	—
99	C₄²×C₁₃	C₂×Q₈	1	2	yes	—
100	C₄²×C₁₃	C₂×Q₈	1	2	yes	—
101	C₄²×C₁₃	#41	1	2	yes	—
102	C₄⋊Dic₁₃	—	2	2	no	—
103	C₄⋊Dic₁₃	C₄⋊C₄	1	4	yes	—
104	C₄⋊Dic₁₃	M₁₆	1	4	yes	—
105	#6101	—	2	4	no	—
106	#6101	—	2	4	no	—
107	#6101	C₄⋊C₄	1	8	yes	—
108	C₄×Dic₁₃	—	2	4	no	—
109	C₄×Dic₁₃	—	2	4	no	—
110	C₄×Dic₁₃	—	2	2	no	—
111	C₄×Dic₁₃	—	2	2	no	—
112	C₄×Dic₁₃	—	2	4	no	—
113	C₄×Dic₁₃	—	4	2	no	—
114	C₄×Dic₁₃	C₂×D₄	1	4	yes	—
115	C₄×Dic₁₃	C₂×Q₈	1	4	yes	—
116	C₂×#1055	—	2	4	no	—
117	C₂×#1055	—	2	4	no	—
118	C₂×#1055	—	2	4	no	—
119	C₂×#446	—	13	2	no	—
120	C₄²×Q₈	—	13	1	no	—
121	#1940	—	13	4	no	—
122	#1939	—	13	2	no	—
123	#1842	—	13	2	no	—
124	#1842	—	13	1	no	—
125	#1767	—	13	2	no	—
126	C₄×C₄⋊C₈	D₁₃	1	1	yes	characteristic
127	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
128	C₂×C₄×C₁₃	—	2	1	no	—
129	C₂×C₄×C₁₃	—	2	1	no	—
130	C₂×C₄×C₁₃	—	2	1	no	—
131	C₂×C₄×C₁₃	—	2	1	no	—
132	C₂×C₄×C₁₃	—	2	1	no	—
133	C₂×C₄×C₁₃	—	2	1	no	—
134	C₂×C₄×C₁₃	—	2	1	no	—
135	C₂×C₄×C₁₃	—	2	1	no	—
136	C₂×C₄×C₁₃	—	2	1	no	—
137	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
138	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
139	C₂×C₄×C₁₃	C₄×Q₈	1	2	yes	—
140	C₂×C₄×C₁₃	C₄×Q₈	1	2	yes	—
141	C₂×C₄×C₁₃	C₂×M₁₆	1	2	yes	—
142	C₂×C₄×C₁₃	C₂×M₁₆	1	2	yes	—
143	C₂×C₄×C₁₃	C₂×M₁₆	1	2	yes	—
144	C₂×C₄×C₁₃	C₂×M₁₆	1	2	yes	—
145	C₂×C₄×C₁₃	#131	1	2	yes	—
146	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
147	C₂×C₄×C₁₃	C₂²×Q₈	1	1	yes	characteristic
148	C₂×C₄×C₁₃	C₂²×Q₈	1	1	yes	characteristic
149	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
150	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
151	C₂×C₄×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
152	C₂×Dic₁₃	—	2	2	no	—
153	C₂×Dic₁₃	—	2	2	no	—
154	C₂×Dic₁₃	—	2	2	no	—
155	C₂×Dic₁₃	—	2	2	no	—
156	C₂×Dic₁₃	—	2	2	no	—
157	C₂×Dic₁₃	—	2	2	no	—
158	C₂×Dic₁₃	—	2	2	no	—
159	C₂×Dic₁₃	—	2	2	no	—
160	C₂×Dic₁₃	—	2	2	no	—
161	C₂×Dic₁₃	C₂×C₄⋊C₄	1	4	yes	—
162	C₂×Dic₁₃	C₂×C₄⋊C₄	1	4	yes	—
163	C₂×Dic₁₃	C₂×M₁₆	1	4	yes	—
164	Dic₂₆	—	2	8	no	—
165	C₈×C₁₃	—	2	4	no	—
166	C₈×C₁₃	—	4	2	no	—
167	#1055	—	4	4	no	—
168	C₂×C₄×Q₈	—	13	1	no	—
169	C₂×C₄×Q₈	—	13	1	no	—
170	C₂×C₄×Q₈	—	13	1	no	—
171	#446	—	26	8	no	—
172	C₂×C₄⋊C₈	—	13	4	no	—
173	C₂×C₄⋊C₈	—	13	2	no	—
174	C₂×C₄⋊C₈	—	13	2	no	—
175	C₂×C₄⋊C₈	—	13	4	no	—
176	C₂×C₄⋊C₈	—	13	2	no	—
177	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic
178	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic
179	C₂×#97	—	13	4	no	—
180	C₂×C₄×C₈	C₂×D₁₃	1	2	yes	—
181	C₄×C₄⋊C₄	—	13	2	no	—
182	C₄×C₄⋊C₄	—	13	2	no	—
183	C₄×C₄⋊C₄	—	13	1	no	—
184	C₄×C₄⋊C₄	—	13	1	no	—
185	C₄×C₄⋊C₄	—	13	1	no	—
186	C₄×C₄⋊C₄	—	13	2	no	—
187	C₄³	—	13	2	no	—
188	C₄³	C₂×D₁₃	1	1	yes	characteristic
189	#336	—	13	4	no	—
190	#336	C₂×D₁₃	1	2	yes	—
191	C₂²×C₁₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
192	C₂²×C₁₃	C₂×C₄×Q₈	1	1	yes	characteristic
193	C₂²×C₁₃	#520	1	1	yes	characteristic
194	C₂²×C₁₃	C₂²×M₁₆	1	1	yes	characteristic
195	C₂²×C₁₃	C₂²×M₁₆	1	1	yes	characteristic
196	C₂²×C₁₃	C₂×#131	1	1	yes	characteristic
197	C₂²×C₁₃	#568	1	1	yes	characteristic
198	C₄×C₁₃	—	2	2	no	—
199	C₄×C₁₃	—	2	2	no	—
200	C₄×C₁₃	—	2	2	no	—
201	C₄×C₁₃	—	4	1	no	—
202	C₄×C₁₃	#423	1	4	yes	—
203	C₄×C₁₃	#446	1	4	yes	complemented
204	C₄×C₁₃	D₄×Q₈	1	1	yes	characteristic
205	C₄×C₁₃	#550	1	1	yes	characteristic
206	C₄×C₁₃	#557	1	1	yes	characteristic
207	C₄×C₁₃	Q₈²	1	1	yes	characteristic
208	Dic₁₃	—	2	4	no	—
209	Dic₁₃	—	2	4	no	—
210	Dic₁₃	—	2	4	no	—
211	Dic₁₃	—	4	2	no	—
212	C₂²×Q₈	—	13	1	no	—
213	C₂²×C₈	—	13	4	no	—
214	C₂²×C₈	C₂²×D₁₃	1	2	yes	—
215	C₂²×C₈	C₂²×D₁₃	1	2	yes	—
216	C₄×Q₈	—	13	4	no	—
217	C₄×Q₈	—	13	4	no	—
218	C₄×Q₈	—	26	4	no	—
219	C₄×Q₈	—	26	4	no	—
220	C₂×C₄⋊C₄	—	13	2	no	—
221	C₂×C₄⋊C₄	—	13	1	no	—
222	C₂×C₄⋊C₄	—	13	1	no	—
223	C₂×C₄⋊C₄	—	13	2	no	—
224	C₂×C₄⋊C₄	—	13	2	no	—
225	C₂×C₄⋊C₄	—	13	1	no	—
226	C₂×C₄²	—	13	2	no	—
227	C₂×C₄²	—	13	2	no	—
228	C₂×C₄²	—	13	2	no	—
229	C₂×C₄²	—	13	2	no	—
230	C₂×C₄²	—	13	2	no	—
231	C₂×C₄²	—	13	2	no	—
232	C₂×C₄²	C₄×D₁₃	1	1	yes	characteristic
233	C₂×C₄²	C₄×D₁₃	1	1	yes	characteristic
234	C₂×C₄²	C₄×D₁₃	1	1	yes	characteristic
235	C₂×C₄²	C₄×D₁₃	1	1	yes	characteristic
236	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
237	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
238	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
239	C₄⋊C₈	—	2	2	no	—
240	C₄⋊C₈	—	26	8	no	—
241	C₄⋊C₈	—	26	4	no	—
242	C₄⋊C₈	—	26	4	no	—
243	C₄⋊C₈	—	52	2	no	—
244	C₄⋊C₈	—	52	4	no	—
245	C₄⋊C₈	Dic₂₆	1	4	yes	complemented
246	#97	—	26	8	no	—
247	C₄×C₈	—	2	4	no	—
248	#95	—	13	2	no	—
249	#95	—	13	2	no	—
250	#95	—	13	2	no	—
251	C₂×C₁₃	Q₈×C₄⋊C₄	1	1	yes	characteristic
252	C₂×C₁₃	C₂×#423	1	1	yes	characteristic
253	C₂×C₁₃	#2906	1	1	yes	characteristic
254	C₂×C₁₃	C₂×#446	1	1	yes	characteristic
255	C₂×C₁₃	Q₈×M₁₆	1	1	yes	characteristic
256	C₂×C₁₃	#2989	1	1	yes	characteristic
257	C₂×C₁₃	#2990	1	1	yes	characteristic
258	C₂×Q₈	—	13	4	no	—
259	C₂×Q₈	—	26	2	no	—
260	C₂×Q₈	—	26	2	no	—
261	C₂²×C₄	—	13	2	no	—
262	C₂²×C₄	—	13	2	no	—
263	C₂²×C₄	—	13	2	no	—
264	C₂²×C₄	—	13	2	no	—
265	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
266	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
267	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
268	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
269	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
270	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
271	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
272	C₂×C₈	—	2	2	no	—
273	C₂×C₈	—	2	2	no	—
274	C₂×C₈	—	2	2	no	—
275	C₂×C₈	—	2	2	no	—
276	C₂×C₈	—	2	2	no	—
277	C₂×C₈	—	26	4	no	—
278	C₂×C₈	—	26	4	no	—
279	C₂×C₈	—	26	4	no	—
280	C₂×C₈	C₂×Dic₂₆	1	4	yes	—
281	C₄⋊C₄	—	13	8	no	—
282	C₄⋊C₄	—	13	4	no	—
283	C₄⋊C₄	—	13	4	no	—
284	C₄⋊C₄	—	26	4	no	—
285	C₄⋊C₄	—	26	4	no	—
286	C₄⋊C₄	—	26	2	no	—
287	C₄²	—	2	2	no	—
288	C₄²	—	2	2	no	—
289	C₄²	—	2	1	no	—
290	C₄²	—	2	1	no	—
291	C₄²	—	4	1	no	—
292	C₄²	—	13	4	no	—
293	C₄²	—	13	4	no	—
294	C₄²	—	26	4	no	—
295	C₄²	—	26	4	no	—
296	C₄²	—	26	4	no	—
297	C₄²	—	26	2	no	—
298	C₄²	—	26	2	no	—
299	C₄²	—	52	2	no	—
300	C₄²	#6094	1	4	yes	—
301	C₄²	C₂×Dic₂₆	1	2	yes	—
302	C₄²	#6127	1	2	yes	—
303	C₄²	D₄×D₁₃	1	2	yes	—
304	C₄²	Q₈×D₁₃	1	2	yes	—
305	C₁₃	#22722	1	1	yes	characteristic, complemented, Sylow
306	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
307	Q₈	—	26	8	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	2	1	no	—
313	C₂×C₄	—	2	1	no	—
314	C₂×C₄	—	2	1	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	13	4	no	—
318	C₂×C₄	—	13	4	no	—
319	C₂×C₄	—	13	4	no	—
320	C₂×C₄	—	26	2	no	—
321	C₂×C₄	—	26	2	no	—
322	C₂×C₄	—	26	2	no	—
323	C₂×C₄	—	26	2	no	—
324	C₂×C₄	—	26	2	no	—
325	C₂×C₄	—	26	2	no	—
326	C₂×C₄	—	26	2	no	—
327	C₂×C₄	—	26	2	no	—
328	C₂×C₄	—	26	2	no	—
329	C₂×C₄	C₄×Dic₂₆	1	2	yes	—
330	C₂×C₄	C₄×Dic₂₆	1	2	yes	—
331	C₂×C₄	C₄⋊C₄×D₁₃	1	2	yes	—
332	C₂×C₄	C₄⋊C₄×D₁₃	1	2	yes	—
333	C₂×C₄	C₂×#6094	1	2	yes	—
334	C₂×C₄	C₂×#6094	1	2	yes	—
335	C₂×C₄	C₂×#6094	1	2	yes	—
336	C₂×C₄	#88155	1	2	yes	—
337	C₂×C₄	M₁₆×D₁₃	1	2	yes	—
338	C₂×C₄	C₂²×Dic₂₆	1	1	yes	characteristic
339	C₂×C₄	C₂×#6127	1	1	yes	characteristic
340	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
341	C₂×C₄	C₂×Q₈×D₁₃	1	1	yes	characteristic
342	C₂×C₄	#88256	1	1	yes	characteristic
343	C₂×C₄	#88257	1	1	yes	characteristic
344	C₈	—	2	4	no	—
345	C₈	—	4	2	no	—
346	C₈	—	52	4	no	—
347	C₂²	C₂×C₄×Dic₂₆	1	1	yes	characteristic
348	C₂²	C₂×C₄⋊C₄×D₁₃	1	1	yes	characteristic
349	C₂²	#11719228	1	1	yes	characteristic
350	C₂²	C₂²×#6094	1	1	yes	characteristic
351	C₂²	C₂×#88155	1	1	yes	characteristic
352	C₂²	C₂×M₁₆×D₁₃	1	1	yes	characteristic
353	C₂²	#11719450	1	1	yes	characteristic
354	C₄	—	2	2	no	—
355	C₄	—	2	2	no	—
356	C₄	—	2	2	no	—
357	C₄	—	4	1	no	—
358	C₄	—	26	4	no	—
359	C₄	—	26	4	no	—
360	C₄	—	26	4	no	—
361	C₄	—	52	2	no	—
362	C₄	#11718340	1	4	yes	complemented
363	C₄	#11718498	1	4	yes	—
364	C₄	D₄×Dic₂₆	1	1	yes	characteristic
365	C₄	#11719258	1	1	yes	characteristic
366	C₄	Q₈×Dic₂₆	1	1	yes	characteristic
367	C₄	#11719272	1	1	yes	characteristic
368	C₂	C₄⋊C₄×Dic₂₆	1	1	yes	characteristic
369	C₂	C₂×#11718498	1	1	yes	characteristic
370	C₂	#13123401	1	1	yes	characteristic
371	C₂	C₂×#11718340	1	1	yes	characteristic
372	C₂	M₁₆×Dic₂₆	1	1	yes	characteristic
373	C₂	#13123949	1	1	yes	characteristic
374	C₂	#13123957	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²×C₄	C₂³×D₁₃
commutator, socle, prime radical	C₂³×C₁₃	C₂³×C₄
Fitting	C₄×C₁₃×C₄⋊C₈	C₂
cosocle	C₂²×C₄×C₁₃	C₂⁴
hypercenter	C₄×C₄⋊C₈	D₁₃
hypocenter	C₁₃	#22722
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×C₄⋊C₈

Complements

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

N	H ≅ G/N	type
60. C₁₃×C₄⋊C₈	Q₈	semidirect
203. C₄×C₁₃	#446	semidirect
245. C₄⋊C₈	Dic₂₆	semidirect
305. C₁₃	#22722	semidirect
362. C₄	#11718340	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11718340	2
C₄²×Dic₂₆	2
#13115558	2
#13115554	2
#13114988	2
#13114987	2
#13114691	2
C₄×C₁₃×C₄⋊C₈	2
#22722	13