Subgroups — #13123647

Order 1664.

548 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#88165	C₂	1	1	yes	maximal, characteristic
2	C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×#6129	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#442	C₂	1	1	yes	maximal, characteristic, complemented
5	D₈×Dic₁₃	C₂	1	1	yes	maximal, characteristic, complemented
6	#11718679	C₂	1	1	yes	maximal, characteristic, complemented
7	#11718675	C₂	1	1	yes	maximal, characteristic, complemented
8	#11718522	C₂	1	1	yes	maximal, characteristic, complemented
9	#11718513	C₂	1	1	yes	maximal, characteristic, complemented
10	#11718432	C₂	1	1	yes	maximal, characteristic, complemented
11	#11718431	C₂	1	1	yes	maximal, characteristic, complemented
12	#11718419	C₂	1	1	yes	maximal, characteristic, complemented
13	#11718417	C₂	1	1	yes	maximal, characteristic, complemented
14	#11718371	C₂	1	1	yes	maximal, characteristic, complemented
15	#11718368	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#6129	C₂²	1	1	yes	characteristic
17	C₂×D₄×D₁₃	C₂²	1	1	yes	characteristic
18	C₂²×C₄×D₁₃	—	2	1	no	—
19	C₂×C₁₃×D₈	C₂²	1	1	yes	characteristic
20	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
21	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
22	D₄×Dic₁₃	C₂²	1	1	yes	characteristic
23	D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
24	C₂×#6105	C₂²	1	1	yes	characteristic
25	C₂×#6104	C₂²	1	1	yes	characteristic
26	C₄×C₂²⋊D₁₃	—	2	1	no	—
27	C₄×C₂²⋊D₁₃	—	2	1	no	—
28	C₂×C₄×Dic₁₃	—	2	1	no	—
29	#88165	C₄	1	8	yes	complemented
30	C₂×#6095	C₂²	1	1	yes	characteristic
31	C₂×#6094	C₂²	1	1	yes	characteristic
32	C₂×#6094	C₂²	1	1	yes	characteristic
33	#88147	C₂²	1	1	yes	characteristic
34	#88146	C₂²	1	1	yes	characteristic
35	C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
36	#88141	C₂²	1	1	yes	characteristic, complemented
37	#88135	—	2	1	no	—
38	#88135	—	2	1	no	—
39	C₂²⋊C₄×D₁₃	—	2	1	no	—
40	#88131	—	2	1	no	—
41	C₄×D₅₂	C₂²	1	1	yes	characteristic
42	C₄²×D₁₃	C₂²	1	1	yes	characteristic
43	C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#106	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#102	C₂²	1	1	yes	characteristic
46	C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
48	#88072	C₂²	1	1	yes	characteristic
49	#88072	C₂²	1	1	yes	characteristic, complemented
50	#88061	C₂²	1	1	yes	characteristic
51	#88058	C₂²	1	1	yes	characteristic, complemented
52	#88056	C₂²	1	1	yes	characteristic, complemented
53	C₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
54	C₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
55	#88050	C₂²	1	1	yes	characteristic, complemented
56	#88049	C₂²	1	1	yes	characteristic
57	#88048	C₂²	1	1	yes	characteristic, complemented
58	#88047	C₂²	1	1	yes	characteristic, complemented
59	#88043	C₂²	1	1	yes	characteristic, complemented
60	C₂³×D₁₃	—	2	1	no	—
61	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
62	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
63	C₂²×C₄×C₁₃	—	2	1	no	—
64	C₂²×C₄×C₁₃	—	2	1	no	—
65	C₂×C₂²⋊D₁₃	—	2	1	no	—
66	C₂×C₂²⋊D₁₃	—	2	1	no	—
67	C₂²×Dic₁₃	—	2	1	no	—
68	C₂²×Dic₁₃	—	2	1	no	—
69	C₂²×Dic₁₃	—	2	1	no	—
70	#6129	—	2	2	no	—
71	#6129	C₂×C₄	1	4	yes	complemented
72	D₄×D₁₃	—	2	2	no	—
73	D₄×D₁₃	C₂×C₄	1	4	yes	complemented
74	C₂×D₅₂	C₂³	1	1	yes	characteristic
75	C₂×C₄×D₁₃	—	2	1	no	—
76	C₂×C₄×D₁₃	—	2	1	no	—
77	C₂×C₄×D₁₃	—	2	1	no	—
78	C₂×C₄×D₁₃	—	4	4	no	—
79	C₂×C₄×D₁₃	D₄	1	1	yes	characteristic
80	C₂×C₄×D₁₃	D₄	1	1	yes	characteristic
81	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
82	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
83	C₁₃×D₈	C₂×C₄	1	4	yes	complemented
84	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
85	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
86	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
87	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
88	C₁₃×C₂²⋊C₄	—	2	1	no	—
89	C₁₃×C₂²⋊C₄	—	2	1	no	—
90	C₄²×C₁₃	C₂³	1	1	yes	characteristic
91	C₂²⋊Dic₁₃	—	2	1	no	—
92	C₂²⋊Dic₁₃	—	2	1	no	—
93	#6105	C₂×C₄	1	4	yes	complemented
94	#6104	C₂×C₄	1	4	yes	complemented
95	#6103	—	2	1	no	—
96	#6103	—	2	1	no	—
97	#6103	—	2	1	no	—
98	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
99	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
100	#6101	—	2	1	no	—
101	#6101	—	2	1	no	—
102	#6101	—	2	1	no	—
103	C₄×Dic₁₃	—	2	1	no	—
104	C₄×Dic₁₃	—	2	1	no	—
105	C₄×Dic₁₃	—	2	1	no	—
106	C₄×Dic₁₃	D₄	1	1	yes	characteristic
107	C₄×Dic₁₃	D₄	1	1	yes	characteristic
108	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
109	C₂×#1055	C₂³	1	1	yes	characteristic
110	C₂×#1055	C₂³	1	1	yes	characteristic
111	#6095	C₂×C₄	1	4	yes	complemented
112	#6094	—	2	2	no	—
113	#6094	C₂×C₄	1	4	yes	complemented
114	C₄×AGL(1,ℤ/8)	—	13	1	no	maximal, Sylow
115	C₂³×C₁₃	—	2	1	no	—
116	C₂³×C₁₃	—	2	1	no	—
117	C₂²×D₁₃	—	2	1	no	—
118	C₂²×D₁₃	—	2	4	no	—
119	C₂²×D₁₃	—	4	2	no	—
120	C₂²×D₁₃	—	4	2	no	—
121	C₂²×D₁₃	C₂×D₄	1	1	yes	characteristic
122	D₄×C₁₃	—	2	1	no	—
123	D₄×C₁₃	—	2	1	no	—
124	D₄×C₁₃	C₂²×C₄	1	2	yes	—
125	D₄×C₁₃	C₂²×C₄	1	2	yes	complemented
126	C₂×C₄×C₁₃	—	2	1	no	—
127	C₂×C₄×C₁₃	—	2	1	no	—
128	C₂×C₄×C₁₃	—	4	2	no	—
129	C₂×C₄×C₁₃	—	4	2	no	—
130	C₂×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
131	C₂×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
132	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
133	C₂²⋊D₁₃	—	2	4	no	—
134	C₂²⋊D₁₃	—	2	4	no	—
135	C₂×Dic₁₃	—	2	1	no	—
136	C₂×Dic₁₃	—	2	4	no	—
137	C₂×Dic₁₃	—	2	1	no	—
138	C₂×Dic₁₃	—	2	1	no	—
139	C₂×Dic₁₃	—	4	2	no	—
140	C₂×Dic₁₃	—	4	2	no	—
141	C₂×Dic₁₃	C₂×D₄	1	1	yes	characteristic
142	C₂×Dic₁₃	C₂×D₄	1	1	yes	characteristic
143	C₂×Dic₁₃	C₂×D₄	1	1	yes	characteristic
144	D₅₂	—	2	1	no	—
145	D₅₂	C₂²×C₄	1	2	yes	—
146	C₄×D₁₃	—	2	2	no	—
147	C₄×D₁₃	—	4	1	no	—
148	C₄×D₁₃	—	4	2	no	—
149	C₄×D₁₃	—	4	2	no	—
150	C₄×D₁₃	—	4	2	no	—
151	C₄×D₁₃	C₂²×C₄	1	2	yes	—
152	C₄×D₁₃	#41	1	2	yes	—
153	Dic₂₆	—	2	1	no	—
154	Dic₂₆	C₂²×C₄	1	2	yes	complemented
155	C₈×C₁₃	—	2	1	no	—
156	C₈×C₁₃	C₂²×C₄	1	2	yes	complemented
157	#1055	—	2	1	no	—
158	#1055	C₂²×C₄	1	2	yes	complemented
159	C₂×AGL(1,ℤ/8)	—	13	1	no	—
160	C₄×#41	—	13	1	no	—
161	C₂×C₄×D₄	—	13	1	no	—
162	#442	—	13	1	no	—
163	#442	D₁₃	1	1	yes	characteristic, complemented
164	#440	—	13	1	no	—
165	#440	—	13	1	no	—
166	C₄×SD₁₆	—	13	1	no	—
167	C₄×SD₁₆	—	13	1	no	—
168	C₄×D₈	—	13	1	no	—
169	C₄×D₈	—	13	1	no	—
170	#428	—	13	1	no	—
171	#418	—	13	1	no	—
172	#417	—	13	1	no	—
173	C₄×M₁₆	—	13	1	no	—
174	C₂²×C₁₃	—	2	2	no	—
175	C₂²×C₁₃	—	2	2	no	—
176	C₂²×C₁₃	—	4	1	no	—
177	C₂²×C₁₃	—	4	1	no	—
178	C₂²×C₁₃	—	4	1	no	—
179	C₂²×C₁₃	—	4	1	no	—
180	C₂²×C₁₃	C₂²×D₄	1	1	yes	characteristic
181	C₂×D₁₃	—	2	1	no	—
182	C₂×D₁₃	—	2	1	no	—
183	C₂×D₁₃	—	2	2	no	—
184	C₂×D₁₃	—	4	8	no	—
185	C₂×D₁₃	—	4	1	no	—
186	C₂×D₁₃	—	4	1	no	—
187	C₂×D₁₃	C₄×D₄	1	2	yes	—
188	C₄×C₁₃	—	2	1	no	—
189	C₄×C₁₃	—	2	1	no	—
190	C₄×C₁₃	—	4	1	no	—
191	C₄×C₁₃	—	4	1	no	—
192	C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
193	C₄×C₁₃	C₂×#41	1	1	yes	characteristic
194	Dic₁₃	—	2	2	no	—
195	Dic₁₃	—	2	1	no	—
196	Dic₁₃	—	4	1	no	—
197	Dic₁₃	—	4	1	no	—
198	Dic₁₃	C₄×D₄	1	2	yes	—
199	Dic₁₃	AGL(1,ℤ/8)	1	2	yes	complemented
200	C₂×#41	—	13	1	no	—
201	C₂²×D₄	—	13	1	no	—
202	C₂³×C₄	—	26	1	no	—
203	AGL(1,ℤ/8)	—	13	8	no	—
204	C₂×SD₁₆	—	13	1	no	—
205	C₂×SD₁₆	—	13	1	no	—
206	C₂×D₈	—	13	1	no	—
207	C₂×D₈	C₂×D₁₃	1	1	yes	characteristic
208	C₂×M₁₆	—	13	1	no	—
209	C₂×M₁₆	—	13	1	no	—
210	C₄×Q₈	—	13	1	no	—
211	C₄×Q₈	—	13	1	no	—
212	C₄×D₄	—	13	1	no	—
213	C₄×D₄	—	13	1	no	—
214	C₄×D₄	—	13	1	no	—
215	C₄×D₄	—	13	1	no	—
216	C₄×D₄	—	26	1	no	—
217	C₄×D₄	—	26	1	no	—
218	C₄×D₄	—	26	1	no	—
219	C₄×D₄	—	26	1	no	—
220	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
221	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
222	#117	—	13	1	no	—
223	#117	—	26	1	no	—
224	C₂×C₄⋊C₄	—	13	1	no	—
225	C₂×C₂²⋊C₄	—	26	1	no	—
226	C₂×C₄²	—	13	1	no	—
227	C₂×C₄²	—	26	1	no	—
228	#107	—	13	1	no	—
229	#107	—	13	1	no	—
230	#106	—	13	1	no	—
231	#106	C₂×D₁₃	1	1	yes	characteristic, complemented
232	#103	—	13	1	no	—
233	#103	—	13	1	no	—
234	#102	—	13	1	no	—
235	#102	—	13	1	no	—
236	#102	—	13	1	no	—
237	#102	—	13	1	no	—
238	#102	C₂×D₁₃	1	1	yes	characteristic
239	#102	C₂×D₁₃	1	1	yes	characteristic, complemented
240	#97	—	13	1	no	—
241	#97	C₂×D₁₃	1	1	yes	characteristic, complemented
242	C₄×C₈	—	13	1	no	—
243	C₄×C₈	—	13	1	no	—
244	C₂×C₁₃	—	4	2	no	—
245	C₂×C₁₃	—	4	2	no	—
246	C₂×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
247	C₂×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
248	C₂×C₁₃	#575	1	1	yes	characteristic
249	D₁₃	—	2	2	no	—
250	D₁₃	—	4	2	no	—
251	C₂⁴	—	26	1	no	—
252	#41	—	13	4	no	—
253	#41	—	26	2	no	—
254	C₂×Q₈	—	13	1	no	—
255	C₂×D₄	—	13	4	no	—
256	C₂×D₄	—	13	1	no	—
257	C₂×D₄	—	26	2	no	—
258	C₂×D₄	—	26	1	no	—
259	C₂×D₄	—	26	1	no	—
260	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
261	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
262	C₂²×C₄	—	2	1	no	—
263	C₂²×C₄	—	2	1	no	—
264	C₂²×C₄	—	13	1	no	—
265	C₂²×C₄	—	13	1	no	—
266	C₂²×C₄	—	13	1	no	—
267	C₂²×C₄	—	26	1	no	—
268	C₂²×C₄	—	26	1	no	—
269	C₂²×C₄	—	26	1	no	—
270	C₂²×C₄	—	26	1	no	—
271	C₂²×C₄	—	26	1	no	—
272	C₂²×C₄	—	26	1	no	—
273	C₂²×C₄	—	52	4	no	—
274	SD₁₆	—	13	4	no	—
275	SD₁₆	—	13	4	no	—
276	D₈	—	13	4	no	—
277	D₈	C₄×D₁₃	1	4	yes	complemented
278	M₁₆	—	13	4	no	—
279	M₁₆	—	26	2	no	—
280	C₂×C₈	—	13	1	no	—
281	C₂×C₈	—	13	1	no	—
282	C₂×C₈	C₂²×D₁₃	1	1	yes	characteristic
283	C₂×C₈	C₂²×D₁₃	1	1	yes	characteristic
284	C₄⋊C₄	—	13	1	no	—
285	C₄⋊C₄	—	13	1	no	—
286	C₄⋊C₄	—	26	1	no	—
287	C₄⋊C₄	—	26	1	no	—
288	C₄⋊C₄	—	26	1	no	—
289	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
290	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
291	C₂²⋊C₄	—	2	1	no	—
292	C₂²⋊C₄	—	2	1	no	—
293	C₂²⋊C₄	—	26	1	no	—
294	C₂²⋊C₄	—	26	1	no	—
295	C₂²⋊C₄	—	26	1	no	—
296	C₂²⋊C₄	—	26	1	no	—
297	C₂²⋊C₄	—	26	1	no	—
298	C₄²	—	13	1	no	—
299	C₄²	—	13	1	no	—
300	C₄²	—	13	1	no	—
301	C₄²	—	26	1	no	—
302	C₄²	—	26	1	no	—
303	C₄²	—	26	1	no	—
304	C₄²	C₂²×D₁₃	1	1	yes	characteristic
305	C₁₃	C₄×AGL(1,ℤ/8)	1	1	yes	characteristic, complemented, Sylow
306	C₂³	—	2	1	no	—
307	C₂³	—	2	1	no	—
308	C₂³	—	13	1	no	—
309	C₂³	—	26	4	no	—
310	C₂³	—	26	1	no	—
311	C₂³	—	52	2	no	—
312	C₂³	—	52	2	no	—
313	Q₈	—	13	2	no	—
314	Q₈	—	26	1	no	—
315	D₄	—	2	1	no	—
316	D₄	—	2	1	no	—
317	D₄	—	13	2	no	—
318	D₄	—	26	4	no	—
319	D₄	—	26	4	no	—
320	D₄	—	26	1	no	—
321	D₄	C₂×C₄×D₁₃	1	2	yes	—
322	D₄	C₂×C₄×D₁₃	1	2	yes	complemented
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	4	2	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	—	13	1	no	—
328	C₂×C₄	—	13	1	no	—
329	C₂×C₄	—	13	2	no	—
330	C₂×C₄	—	13	2	no	—
331	C₂×C₄	—	13	1	no	—
332	C₂×C₄	—	26	2	no	—
333	C₂×C₄	—	26	4	no	—
334	C₂×C₄	—	26	1	no	—
335	C₂×C₄	—	26	1	no	—
336	C₂×C₄	—	26	1	no	—
337	C₂×C₄	—	52	1	no	—
338	C₂×C₄	—	52	2	no	—
339	C₂×C₄	—	52	2	no	—
340	C₂×C₄	—	52	2	no	—
341	C₂×C₄	—	52	2	no	—
342	C₂×C₄	—	52	2	no	—
343	C₂×C₄	D₄×D₁₃	1	1	yes	characteristic
344	C₂×C₄	D₄×D₁₃	1	1	yes	characteristic
345	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
346	C₈	—	2	1	no	—
347	C₈	—	13	2	no	—
348	C₈	—	26	1	no	—
349	C₈	C₂×C₄×D₁₃	1	2	yes	complemented
350	C₂²	—	2	2	no	—
351	C₂²	—	2	2	no	—
352	C₂²	—	4	1	no	—
353	C₂²	—	4	1	no	—
354	C₂²	—	4	1	no	—
355	C₂²	—	4	1	no	—
356	C₂²	—	13	2	no	—
357	C₂²	—	26	1	no	—
358	C₂²	—	26	1	no	—
359	C₂²	—	26	2	no	—
360	C₂²	—	52	8	no	—
361	C₂²	—	52	1	no	—
362	C₂²	—	52	1	no	—
363	C₂²	C₂×D₄×D₁₃	1	1	yes	characteristic
364	C₄	—	2	1	no	—
365	C₄	—	2	1	no	—
366	C₄	—	4	1	no	—
367	C₄	—	4	1	no	—
368	C₄	—	13	2	no	—
369	C₄	—	13	2	no	—
370	C₄	—	26	1	no	—
371	C₄	—	26	2	no	—
372	C₄	—	52	1	no	—
373	C₄	—	52	1	no	—
374	C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
375	C₄	#41×D₁₃	1	1	yes	characteristic
376	C₂	—	4	2	no	—
377	C₂	—	4	2	no	—
378	C₂	—	26	2	no	—
379	C₂	—	52	2	no	—
380	C₂	C₄×D₄×D₁₃	1	1	yes	characteristic
381	C₂	D₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
382	C₂	#11719478	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₃
commutator	C₄×C₁₃	C₂³×C₄
Frattini	C₂×C₄	C₂³×D₁₃
Fitting	C₁₃×#442	C₂
socle	C₂²×C₁₃	C₂²×D₄
prime radical	C₂×#88165	C₂
cosocle	C₂×C₄×C₁₃	C₂⁴
hypercenter	#442	D₁₃
hypocenter	C₁₃	C₄×AGL(1,ℤ/8)
LCS	G ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #442

Complements

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

N	H ≅ G/N	type
2. C₄×D₄×D₁₃	C₂	semidirect
3. C₄×#6129	C₂	semidirect
4. C₁₃×#442	C₂	semidirect
5. D₈×Dic₁₃	C₂	semidirect
6. #11718679	C₂	semidirect
7. #11718675	C₂	semidirect
8. #11718522	C₂	semidirect
9. #11718513	C₂	semidirect
10. #11718432	C₂	semidirect
11. #11718431	C₂	semidirect
12. #11718419	C₂	semidirect
13. #11718417	C₂	semidirect
14. #11718371	C₂	semidirect
15. #11718368	C₂	semidirect
21. C₄×D₄×C₁₃	C₂²	semidirect
23. D₄×Dic₁₃	C₂²	semidirect
29. #88165	C₄	semidirect
36. #88141	C₂²	semidirect
43. C₄×Dic₂₆	C₂²	semidirect
44. C₁₃×#106	C₂²	semidirect
46. C₁₃×#102	C₂²	semidirect
47. C₁₃×#97	C₂²	semidirect
49. #88072	C₂²	semidirect
51. #88058	C₂²	semidirect
52. #88056	C₂²	semidirect
53. C₈×Dic₁₃	C₂²	semidirect
54. C₈×Dic₁₃	C₂²	semidirect
55. #88050	C₂²	semidirect
57. #88048	C₂²	semidirect
58. #88047	C₂²	semidirect
59. #88043	C₂²	semidirect
71. #6129	C₂×C₄	semidirect
73. D₄×D₁₃	C₂×C₄	semidirect
83. C₁₃×D₈	C₂×C₄	semidirect
93. #6105	C₂×C₄	semidirect
94. #6104	C₂×C₄	semidirect
111. #6095	C₂×C₄	semidirect
113. #6094	C₂×C₄	semidirect
125. D₄×C₁₃	C₂²×C₄	semidirect
154. Dic₂₆	C₂²×C₄	semidirect
156. C₈×C₁₃	C₂²×C₄	semidirect
158. #1055	C₂²×C₄	semidirect
163. #442	D₁₃	semidirect
199. Dic₁₃	AGL(1,ℤ/8)	semidirect
221. C₄×D₄	C₂×D₁₃	semidirect
231. #106	C₂×D₁₃	semidirect
239. #102	C₂×D₁₃	semidirect
241. #97	C₂×D₁₃	semidirect
277. D₈	C₄×D₁₃	semidirect
305. C₁₃	C₄×AGL(1,ℤ/8)	semidirect
322. D₄	C₂×C₄×D₁₃	semidirect
349. C₈	C₂×C₄×D₁₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#88165	2
C₄×D₄×D₁₃	2
C₄×#6129	2
C₁₃×#442	2
D₈×Dic₁₃	2
#11718679	2
#11718675	2
#11718522	2
#11718513	2
#11718432	2
#11718431	2
#11718419	2
#11718417	2
#11718371	2
#11718368	2
C₄×AGL(1,ℤ/8)	13