Subgroups — #16807244

Order 3328.

668 conjugacy classes of subgroups.

The subgroup lattice has 422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13131616	C₂	1	1	yes	maximal, characteristic, complemented
2	#13131595	C₂	1	1	yes	maximal, characteristic, complemented
3	#13131248	C₂	1	4	yes	maximal, complemented
4	#13131247	C₂	1	4	yes	maximal, complemented
5	#13131183	C₂	1	1	yes	maximal, characteristic, complemented
6	D₁₃⋊#361	C₂	1	1	yes	maximal, characteristic, complemented
7	#13131158	C₂	1	1	yes	maximal, characteristic, complemented
8	#13131055	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11718575	C₂	1	1	yes	maximal, characteristic
10	#11719625	—	2	1	no	—
11	#11719623	—	2	1	no	—
12	C₂×#88173	C₂²	1	1	yes	characteristic
13	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
14	#11719155	—	2	1	no	—
15	#11719138	—	2	1	no	—
16	#11719112	C₂²	1	4	yes	complemented
17	#11719111	—	2	2	no	—
18	#11719102	C₂²	1	4	yes	complemented
19	D₈×#261	—	2	2	no	—
20	D₁₃⋊#108	C₂²	1	1	yes	characteristic
21	#11719092	C₂²	1	1	yes	characteristic
22	#11719089	C₂²	1	1	yes	characteristic
23	D₁₃⋊M₃₂	C₂²	1	1	yes	characteristic
24	C₂×C₁₃×SD₃₂	C₄	1	1	yes	characteristic, complemented
25	C₂×#88068	C₄	1	1	yes	characteristic, complemented
26	C₂×#88066	C₄	1	1	yes	characteristic, complemented
27	#11718575	C₄	1	2	yes	complemented
28	#11718575	C₄	1	2	yes	complemented
29	#11718575	C₂²	1	2	yes	—
30	#11718575	C₂²	1	2	yes	—
31	C₂×D₂₀₈	C₄	1	1	yes	characteristic, complemented
32	C₂×#88038	C₂²	1	1	yes	characteristic
33	#11718279	C₂²	1	4	yes	complemented
34	#11718278	C₂²	1	4	yes	complemented
35	#11718220	C₂²	1	2	yes	complemented
36	#11718219	C₂²	1	2	yes	complemented
37	#11718218	C₂²	1	2	yes	complemented
38	#11718217	C₂²	1	2	yes	complemented
39	C₂×#6131	—	2	1	no	—
40	C₂×D₄×D₁₃	—	2	1	no	—
41	C₂×C₂²⋊#261	—	4	2	no	—
42	#88240	—	2	4	no	—
43	#88240	—	4	2	no	—
44	D₄×#261	—	2	4	no	—
45	D₄×#261	—	4	2	no	—
46	#88237	—	2	1	no	—
47	#88237	D₄	1	1	yes	characteristic
48	D₁₃⋊M₁₆	—	2	1	no	—
49	D₁₃⋊M₁₆	—	4	2	no	—
50	D₁₃⋊M₁₆	D₄	1	1	yes	characteristic
51	C₂×C₁₃×Q₁₆	C₂×C₄	1	1	yes	characteristic, complemented
52	C₂×C₁₃×D₈	C₂×C₄	1	1	yes	characteristic
53	C₂×#6106	—	2	1	no	—
54	C₂×#6104	—	2	1	no	—
55	#88173	—	2	1	no	—
56	#88173	—	2	1	no	—
57	#88173	C₂×C₄	1	2	yes	complemented
58	#88173	C₂³	1	2	yes	—
59	D₈×D₁₃	—	2	1	no	—
60	D₈×D₁₃	—	2	1	no	—
61	D₈×D₁₃	C₂×C₄	1	2	yes	—
62	D₈×D₁₃	C₂³	1	2	yes	—
63	C₂×D₁₀₄	C₂×C₄	1	1	yes	characteristic
64	C₂×D₁₀₄	C₂×C₄	1	1	yes	characteristic, complemented
65	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
66	#88118	—	2	4	no	—
67	#88115	—	2	4	no	—
68	#88106	—	2	1	no	—
69	#88104	—	2	1	no	—
70	#88103	C₂³	1	2	yes	—
71	#88102	—	2	1	no	—
72	#88101	C₂³	1	2	yes	—
73	#88100	C₂³	1	2	yes	—
74	C₈×#261	D₄	1	2	yes	—
75	#88098	C₂³	1	2	yes	—
76	D₁₃⋊C₁₆	—	2	1	no	—
77	C₁₃×SD₃₂	C₂×C₄	1	2	yes	complemented
78	C₁₃×SD₃₂	C₂×C₄	1	2	yes	complemented
79	C₂×C₁₃×C₁₆	C₂×C₄	1	1	yes	characteristic, complemented
80	#88068	C₂×C₄	1	2	yes	complemented
81	#88068	C₂×C₄	1	2	yes	complemented
82	#88066	C₂×C₄	1	2	yes	complemented
83	#88066	C₂×C₄	1	2	yes	complemented
84	C₂×#6090	C₂×C₄	1	1	yes	characteristic, complemented
85	D₂₀₈	C₂×C₄	1	2	yes	complemented
86	D₂₀₈	C₂×C₄	1	2	yes	complemented
87	#88038	C₂×C₄	1	1	yes	characteristic, complemented
88	#88038	C₂×C₄	1	1	yes	characteristic, complemented
89	#88038	C₂³	1	1	yes	characteristic
90	#88038	C₂³	1	1	yes	characteristic
91	#33471	—	13	1	no	maximal, Sylow
92	C₂³×D₁₃	—	4	1	no	—
93	C₂²×#261	—	4	4	no	—
94	C₂×Q₈×C₁₃	—	2	1	no	—
95	C₂×D₄×C₁₃	—	2	1	no	—
96	C₂×C₂²⋊D₁₃	—	4	1	no	—
97	#6131	—	2	2	no	—
98	#6131	—	2	2	no	—
99	#6131	—	4	1	no	—
100	#6131	—	4	1	no	—
101	D₄×D₁₃	—	2	2	no	—
102	D₄×D₁₃	—	2	2	no	—
103	D₄×D₁₃	—	4	1	no	—
104	D₄×D₁₃	—	4	1	no	—
105	C₂×D₅₂	—	2	1	no	—
106	C₂×D₅₂	—	2	1	no	—
107	C₂×D₅₂	—	4	1	no	—
108	C₂×C₄×D₁₃	—	4	1	no	—
109	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
110	C₂²⋊#261	—	2	1	no	—
111	C₂²⋊#261	—	4	4	no	—
112	C₂²⋊#261	—	4	1	no	—
113	#6122	—	2	1	no	—
114	#6122	—	4	1	no	—
115	C₄⋊#261	—	2	1	no	—
116	C₄⋊#261	—	2	2	no	—
117	C₄×#261	—	4	1	no	—
118	C₄×#261	C₂×D₄	1	2	yes	—
119	#6118	—	2	1	no	—
120	#6118	—	2	2	no	—
121	#6118	—	4	4	no	—
122	D₁₃⋊C₈	—	4	4	no	—
123	D₁₃⋊C₈	—	4	1	no	—
124	D₁₃⋊C₈	C₂×D₄	1	2	yes	—
125	C₁₃×Q₁₆	—	2	1	no	—
126	C₁₃×Q₁₆	C₂²×C₄	1	2	yes	—
127	C₁₃×D₈	—	2	1	no	—
128	C₁₃×D₈	C₂²×C₄	1	2	yes	—
129	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
130	#6106	—	2	2	no	—
131	#6106	—	2	2	no	—
132	#6104	—	2	2	no	—
133	#6104	—	2	2	no	—
134	C₂×#1055	#41	1	1	yes	characteristic
135	D₁₀₄	—	2	1	no	—
136	D₁₀₄	—	2	1	no	—
137	D₁₀₄	C₂²×C₄	1	2	yes	—
138	D₁₀₄	C₂²×C₄	1	2	yes	—
139	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
140	C₈×D₁₃	C₂×D₄	1	1	yes	characteristic
141	C₈×D₁₃	#41	1	1	yes	characteristic
142	C₈×D₁₃	C₂⁴	1	1	yes	characteristic
143	#6092	—	2	2	no	—
144	C₁₃×C₁₆	C₂²×C₄	1	1	yes	characteristic
145	C₁₃×C₁₆	C₂²×C₄	1	1	yes	characteristic
146	#6090	C₂²×C₄	1	1	yes	characteristic
147	#6090	C₂²×C₄	1	1	yes	characteristic
148	C₂×#509	—	13	1	no	—
149	#2957	—	13	1	no	—
150	#2948	—	13	1	no	—
151	AGL(1,ℤ/16)	—	13	4	no	—
152	AGL(1,ℤ/16)	—	13	4	no	—
153	#2155	—	13	1	no	—
154	C₂×#361	—	13	1	no	—
155	#2145	—	13	1	no	—
156	#2110	—	13	1	no	—
157	C₂³×C₁₃	—	4	1	no	—
158	C₂²×D₁₃	—	4	1	no	—
159	C₂²×D₁₃	—	4	1	no	—
160	C₂²×D₁₃	—	4	2	no	—
161	C₂²×D₁₃	—	4	2	no	—
162	C₂²×D₁₃	—	16	2	no	—
163	C₂²×D₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
164	C₂×#261	—	2	2	no	—
165	C₂×#261	—	4	2	no	—
166	C₂×#261	—	16	4	no	—
167	Q₈×C₁₃	—	2	2	no	—
168	Q₈×C₁₃	—	4	1	no	—
169	D₄×C₁₃	—	2	2	no	—
170	D₄×C₁₃	—	4	1	no	—
171	C₂×C₄×C₁₃	—	4	1	no	—
172	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
173	C₂²⋊D₁₃	—	4	2	no	—
174	C₂²⋊D₁₃	—	4	2	no	—
175	C₂×Dic₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
176	D₅₂	—	2	2	no	—
177	D₅₂	—	2	2	no	—
178	D₅₂	—	4	2	no	—
179	D₅₂	—	4	2	no	—
180	D₅₂	—	4	1	no	—
181	D₅₂	—	4	1	no	—
182	C₄×D₁₃	—	4	2	no	—
183	C₄×D₁₃	—	4	2	no	—
184	C₄×D₁₃	C₄×D₄	1	1	yes	characteristic
185	C₄×D₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
186	C₄×D₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
187	C₄×D₁₃	C₂²×D₄	1	1	yes	characteristic
188	#1057	—	2	2	no	—
189	#1057	—	4	2	no	—
190	C₈×C₁₃	C₄×D₄	1	1	yes	characteristic
191	C₈×C₁₃	C₂³×C₄	1	1	yes	characteristic
192	#1055	C₄×D₄	1	1	yes	characteristic
193	#1055	C₂×#41	1	1	yes	characteristic
194	C₂×#135	—	13	1	no	—
195	C₂²×D₈	—	13	1	no	—
196	#568	—	26	1	no	—
197	#518	—	26	1	no	—
198	#509	—	13	2	no	—
199	#509	—	13	2	no	—
200	#509	—	13	2	no	—
201	#509	—	13	2	no	—
202	C₂×SD₃₂	—	13	1	no	—
203	C₂×SD₃₂	#261	1	1	yes	characteristic, complemented
204	C₂×D₁₆	—	13	1	no	—
205	C₂×D₁₆	—	13	1	no	—
206	C₂×M₃₂	—	13	1	no	—
207	C₂×M₃₂	—	13	1	no	—
208	#444	—	13	4	no	—
209	#443	—	26	2	no	—
210	#442	—	13	4	no	—
211	C₄×D₈	—	26	2	no	—
212	C₂×#108	—	13	1	no	—
213	#427	—	13	1	no	—
214	#421	—	26	1	no	—
215	#418	—	26	1	no	—
216	#405	—	13	1	no	—
217	#365	—	13	2	no	—
218	#365	—	13	2	no	—
219	#361	—	13	4	no	—
220	#360	—	13	4	no	—
221	#347	—	13	2	no	—
222	#347	—	13	2	no	—
223	C₂²×C₁₃	—	4	2	no	—
224	C₂²×C₁₃	—	16	1	no	—
225	C₂²×C₁₃	#442	1	1	yes	characteristic
226	C₂×D₁₃	—	4	1	no	—
227	C₂×D₁₃	—	4	2	no	—
228	C₂×D₁₃	—	4	2	no	—
229	C₂×D₁₃	—	8	4	no	—
230	C₂×D₁₃	—	16	2	no	—
231	C₂×D₁₃	—	16	1	no	—
232	C₂×D₁₃	—	16	1	no	—
233	C₂×D₁₃	#442	1	1	yes	characteristic
234	C₂×D₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
235	#261	—	4	2	no	—
236	#261	—	8	2	no	—
237	C₄×C₁₃	—	4	2	no	—
238	C₄×C₁₃	#442	1	1	yes	characteristic
239	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
240	Dic₁₃	#442	1	1	yes	characteristic
241	Dic₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
242	C₂×#41	—	26	1	no	—
243	C₂²×D₄	—	26	1	no	—
244	#135	—	13	2	no	—
245	#135	—	13	2	no	—
246	#135	—	26	1	no	—
247	#135	—	26	1	no	—
248	C₂×Q₁₆	C₂×#261	1	1	yes	characteristic, complemented
249	C₂×SD₁₆	—	26	1	no	—
250	C₂×D₈	—	13	2	no	—
251	C₂×D₈	—	13	2	no	—
252	C₂×D₈	—	13	1	no	—
253	C₂×D₈	—	13	1	no	—
254	C₂×D₈	—	26	1	no	—
255	C₂×D₈	—	26	1	no	—
256	C₂×D₈	—	26	1	no	—
257	C₂×D₈	C₂×#261	1	1	yes	characteristic
258	#131	—	26	4	no	—
259	#131	—	52	2	no	—
260	C₂×M₁₆	—	13	1	no	—
261	C₂×M₁₆	—	26	1	no	—
262	C₂×M₁₆	—	52	2	no	—
263	C₂²×C₈	—	13	1	no	—
264	C₄×D₄	—	26	4	no	—
265	C₄×D₄	—	52	2	no	—
266	#117	—	13	1	no	—
267	#117	—	26	1	no	—
268	C₂×C₂²⋊C₄	—	52	2	no	—
269	SD₃₂	—	13	2	no	—
270	SD₃₂	—	13	2	no	—
271	SD₃₂	C₂×#261	1	2	yes	complemented
272	SD₃₂	C₂×#261	1	2	yes	complemented
273	D₁₆	—	13	2	no	—
274	D₁₆	—	13	2	no	—
275	D₁₆	—	13	2	no	—
276	D₁₆	—	13	2	no	—
277	M₃₂	—	13	1	no	—
278	M₃₂	—	13	1	no	—
279	M₃₂	—	13	1	no	—
280	M₃₂	—	13	1	no	—
281	M₃₂	—	13	2	no	—
282	M₃₂	—	26	1	no	—
283	C₂×C₁₆	—	13	1	no	—
284	C₂×C₁₆	—	26	1	no	—
285	C₂×C₁₆	C₂×#261	1	1	yes	characteristic, complemented
286	#108	—	13	2	no	—
287	#108	—	26	1	no	—
288	#107	—	26	1	no	—
289	#106	—	13	2	no	—
290	#104	—	26	4	no	—
291	#102	—	26	4	no	—
292	#97	—	13	2	no	—
293	C₄×C₈	—	13	2	no	—
294	C₂×C₁₃	—	2	1	no	—
295	C₂×C₁₃	—	8	2	no	—
296	C₂×C₁₃	C₂×#442	1	1	yes	characteristic
297	D₁₃	—	2	1	no	—
298	D₁₃	—	2	1	no	—
299	D₁₃	—	8	2	no	—
300	D₁₃	—	8	2	no	—
301	C₂⁴	—	52	1	no	—
302	#41	—	26	2	no	—
303	#41	—	26	2	no	—
304	#41	—	52	1	no	—
305	#41	—	52	1	no	—
306	C₂×Q₈	—	2	1	no	—
307	C₂×D₄	—	2	1	no	—
308	C₂×D₄	—	26	2	no	—
309	C₂×D₄	—	26	2	no	—
310	C₂×D₄	—	26	1	no	—
311	C₂×D₄	—	26	1	no	—
312	C₂×D₄	—	52	1	no	—
313	C₂×D₄	—	52	1	no	—
314	C₂×D₄	—	52	1	no	—
315	C₂×D₄	—	52	1	no	—
316	C₂²×C₄	—	13	1	no	—
317	C₂²×C₄	—	52	1	no	—
318	C₂²×C₄	—	52	4	no	—
319	Q₁₆	—	2	1	no	—
320	Q₁₆	C₂²×#261	1	2	yes	—
321	SD₁₆	—	26	2	no	—
322	SD₁₆	—	26	2	no	—
323	D₈	—	2	1	no	—
324	D₈	—	13	2	no	—
325	D₈	—	13	2	no	—
326	D₈	—	26	2	no	—
327	D₈	—	26	2	no	—
328	D₈	—	26	1	no	—
329	D₈	—	26	1	no	—
330	D₈	C₂²×#261	1	2	yes	—
331	M₁₆	—	26	1	no	—
332	M₁₆	—	26	1	no	—
333	M₁₆	—	26	2	no	—
334	M₁₆	—	52	4	no	—
335	M₁₆	—	52	1	no	—
336	C₂×C₈	—	13	1	no	—
337	C₂×C₈	—	13	1	no	—
338	C₂×C₈	—	13	1	no	—
339	C₂×C₈	—	13	1	no	—
340	C₂×C₈	—	13	1	no	—
341	C₂×C₈	—	13	2	no	—
342	C₂×C₈	—	52	4	no	—
343	C₂×C₈	—	52	1	no	—
344	C₂×C₈	C₂²×#261	1	1	yes	characteristic
345	C₄⋊C₄	—	26	1	no	—
346	C₄⋊C₄	—	26	2	no	—
347	C₂²⋊C₄	—	26	1	no	—
348	C₂²⋊C₄	—	52	4	no	—
349	C₂²⋊C₄	—	52	1	no	—
350	C₄²	—	13	2	no	—
351	C₄²	—	52	1	no	—
352	C₁₆	—	13	1	no	—
353	C₁₆	—	13	1	no	—
354	C₁₆	—	26	2	no	—
355	C₁₆	C₂²×#261	1	1	yes	characteristic
356	C₁₆	C₂²×#261	1	1	yes	characteristic
357	C₁₃	#33471	1	1	yes	characteristic, complemented, Sylow
358	C₂³	—	4	1	no	—
359	C₂³	—	13	1	no	—
360	C₂³	—	52	2	no	—
361	C₂³	—	52	2	no	—
362	C₂³	—	52	1	no	—
363	C₂³	—	52	1	no	—
364	C₂³	—	208	2	no	—
365	Q₈	—	2	2	no	—
366	Q₈	—	4	1	no	—
367	D₄	—	2	2	no	—
368	D₄	—	4	1	no	—
369	D₄	—	26	2	no	—
370	D₄	—	26	2	no	—
371	D₄	—	52	2	no	—
372	D₄	—	52	2	no	—
373	D₄	—	52	2	no	—
374	D₄	—	52	2	no	—
375	D₄	—	52	1	no	—
376	D₄	—	52	1	no	—
377	C₂×C₄	—	4	1	no	—
378	C₂×C₄	—	13	1	no	—
379	C₂×C₄	—	13	1	no	—
380	C₂×C₄	—	13	1	no	—
381	C₂×C₄	—	13	1	no	—
382	C₂×C₄	—	13	1	no	—
383	C₂×C₄	—	26	2	no	—
384	C₂×C₄	—	52	2	no	—
385	C₂×C₄	—	52	2	no	—
386	C₂×C₄	—	52	2	no	—
387	C₂×C₄	—	208	4	no	—
388	C₂×C₄	D₄×#261	1	1	yes	characteristic
389	C₈	—	13	1	no	—
390	C₈	—	13	1	no	—
391	C₈	—	26	2	no	—
392	C₈	—	52	2	no	—
393	C₈	D₄×#261	1	1	yes	characteristic
394	C₈	C₂³×#261	1	1	yes	characteristic
395	C₂²	—	4	2	no	—
396	C₂²	—	13	1	no	—
397	C₂²	—	13	1	no	—
398	C₂²	—	16	1	no	—
399	C₂²	—	52	1	no	—
400	C₂²	—	52	2	no	—
401	C₂²	—	52	2	no	—
402	C₂²	—	104	4	no	—
403	C₂²	—	208	1	no	—
404	C₂²	—	208	1	no	—
405	C₂²	—	208	2	no	—
406	C₂²	#11719102	1	1	yes	characteristic
407	C₄	—	4	2	no	—
408	C₄	—	13	1	no	—
409	C₄	—	13	1	no	—
410	C₄	—	52	2	no	—
411	C₄	—	104	2	no	—
412	C₄	#11719102	1	1	yes	characteristic
413	C₄	C₂×D₄×#261	1	1	yes	characteristic
414	C₂	—	2	1	no	—
415	C₂	—	8	2	no	—
416	C₂	—	26	1	no	—
417	C₂	—	26	1	no	—
418	C₂	—	104	2	no	—
419	C₂	—	104	2	no	—
420	C₂	C₂×#11719102	1	1	yes	characteristic

	subgroup	G/H
center	C₂	C₂×#11719102
commutator	C₈×C₁₃	C₂³×C₄
Frattini	C₈	C₂³×#261
Fitting	C₂×C₁₃×SD₃₂	C₄
socle	C₂×C₁₃	C₂×#442
prime radical	C₂×#11718575	C₂
cosocle	C₈×D₁₃	C₂⁴
hypercenter	C₂×SD₃₂	#261
hypocenter	C₁₃	#33471
LCS	G ▷ C₈×C₁₃ ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ C₂×C₈ ◁ C₂×SD₃₂

Complements

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

N	H ≅ G/N	type
1. #13131616	C₂	semidirect
2. #13131595	C₂	semidirect
3. #13131248	C₂	semidirect
4. #13131247	C₂	semidirect
5. #13131183	C₂	semidirect
6. D₁₃⋊#361	C₂	semidirect
7. #13131158	C₂	semidirect
8. #13131055	C₂	semidirect
16. #11719112	C₂²	semidirect
18. #11719102	C₂²	semidirect
24. C₂×C₁₃×SD₃₂	C₄	semidirect
25. C₂×#88068	C₄	semidirect
26. C₂×#88066	C₄	semidirect
27. #11718575	C₄	semidirect
28. #11718575	C₄	semidirect
31. C₂×D₂₀₈	C₄	semidirect
33. #11718279	C₂²	semidirect
34. #11718278	C₂²	semidirect
35. #11718220	C₂²	semidirect
36. #11718219	C₂²	semidirect
37. #11718218	C₂²	semidirect
38. #11718217	C₂²	semidirect
51. C₂×C₁₃×Q₁₆	C₂×C₄	semidirect
57. #88173	C₂×C₄	semidirect
64. C₂×D₁₀₄	C₂×C₄	semidirect
77. C₁₃×SD₃₂	C₂×C₄	semidirect
78. C₁₃×SD₃₂	C₂×C₄	semidirect
79. C₂×C₁₃×C₁₆	C₂×C₄	semidirect
80. #88068	C₂×C₄	semidirect
81. #88068	C₂×C₄	semidirect
82. #88066	C₂×C₄	semidirect
83. #88066	C₂×C₄	semidirect
84. C₂×#6090	C₂×C₄	semidirect
85. D₂₀₈	C₂×C₄	semidirect
86. D₂₀₈	C₂×C₄	semidirect
87. #88038	C₂×C₄	semidirect
88. #88038	C₂×C₄	semidirect
203. C₂×SD₃₂	#261	semidirect
248. C₂×Q₁₆	C₂×#261	semidirect
271. SD₃₂	C₂×#261	semidirect
272. SD₃₂	C₂×#261	semidirect
285. C₂×C₁₆	C₂×#261	semidirect
357. C₁₃	#33471	semidirect

Maximal subgroups

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

subgroup	index
#13131616	2
#13131595	2
#13131248	2
#13131247	2
#13131183	2
D₁₃⋊#361	2
#13131158	2
#13131055	2
C₂×#11718575	2
#33471	13