Subgroups — #13131570

Order 1664.

502 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#88238	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₁₃⋊M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	#11719361	C₂	1	1	yes	maximal, characteristic
4	#11719146	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#88111	C₂	1	1	yes	maximal, characteristic, complemented
6	#11719076	C₂	1	1	yes	maximal, characteristic, complemented
7	#11719075	C₂	1	1	yes	maximal, characteristic, complemented
8	#11719075	C₂	1	1	yes	maximal, characteristic, complemented
9	#11719073	C₂	1	1	yes	maximal, characteristic, complemented
10	#11719067	C₂	1	1	yes	maximal, characteristic, complemented
11	#11719066	C₂	1	1	yes	maximal, characteristic, complemented
12	#11719065	C₂	1	1	yes	maximal, characteristic, complemented
13	#11719064	C₂	1	1	yes	maximal, characteristic, complemented
14	#11719063	C₂	1	1	yes	maximal, characteristic, complemented
15	#11719062	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#6129	C₂²	1	1	yes	characteristic
17	C₂²×C₄×D₁₃	C₂²	1	1	yes	characteristic
18	C₂×#6122	C₂²	1	1	yes	characteristic
19	C₂×#6122	C₂²	1	1	yes	characteristic
20	C₂×#6122	C₂²	1	1	yes	characteristic, complemented
21	C₂²×#1057	C₂²	1	1	yes	characteristic
22	C₂²×#1057	C₂²	1	1	yes	characteristic
23	C₂²×#1057	C₂²	1	1	yes	characteristic, complemented
24	#88238	—	2	4	no	—
25	D₁₃⋊M₁₆	—	2	4	no	—
26	C₂×#6118	C₂²	1	1	yes	characteristic
27	C₂×#6118	C₂²	1	1	yes	characteristic
28	C₂×#6118	C₂²	1	1	yes	characteristic, complemented
29	C₂×D₁₃⋊C₈	C₂²	1	1	yes	characteristic
30	C₂×D₁₃⋊C₈	C₂²	1	1	yes	characteristic
31	C₂×D₁₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#123	C₄	1	1	yes	characteristic
33	#88191	C₄	1	1	yes	characteristic
34	#88183	C₄	1	1	yes	characteristic
35	#88150	C₄	1	1	yes	characteristic
36	#88150	C₄	1	1	yes	characteristic
37	#88147	C₂²	1	1	yes	characteristic
38	#88147	C₂²	1	1	yes	characteristic
39	#88138	C₄	1	1	yes	characteristic
40	#88138	C₄	1	1	yes	characteristic
41	#88136	C₄	1	1	yes	characteristic
42	#88135	C₂²	1	1	yes	characteristic
43	#88135	C₂²	1	1	yes	characteristic
44	#88131	C₂²	1	1	yes	characteristic
45	C₂²⋊#1057	C₂²	1	1	yes	characteristic, complemented
46	C₂²⋊#1057	C₂²	1	1	yes	characteristic, complemented
47	#88112	C₂²	1	1	yes	characteristic, complemented
48	#88112	C₂²	1	1	yes	characteristic, complemented
49	#88111	C₂²	1	1	yes	characteristic
50	#88111	C₂²	1	1	yes	characteristic
51	#88111	C₂²	1	1	yes	characteristic
52	#88111	C₂²	1	1	yes	characteristic
53	#88111	C₂²	1	1	yes	characteristic, complemented
54	#88111	C₂²	1	1	yes	characteristic, complemented
55	#88110	C₂²	1	1	yes	characteristic, complemented
56	#88110	C₂²	1	1	yes	characteristic, complemented
57	C₄⋊#1057	C₂²	1	1	yes	characteristic, complemented
58	C₄⋊#1057	C₂²	1	1	yes	characteristic, complemented
59	C₄×#1057	C₂²	1	1	yes	characteristic, complemented
60	C₄×#1057	C₂²	1	1	yes	characteristic, complemented
61	C₂³×D₁₃	C₂×C₄	1	1	yes	characteristic
62	C₂×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
63	C₂²×C₄×C₁₃	C₂×C₄	1	1	yes	characteristic
64	C₂×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
65	C₂×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
66	C₂×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
67	C₂×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
68	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
69	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
70	#6129	—	2	2	no	—
71	#6129	—	2	2	no	—
72	C₂×D₅₂	C₂×C₄	1	1	yes	characteristic
73	C₂×D₅₂	C₂×C₄	1	1	yes	characteristic
74	C₂×C₄×D₁₃	—	2	2	no	—
75	C₂×C₄×D₁₃	—	2	2	no	—
76	C₂×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
77	C₂×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
78	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
79	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
80	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
81	C₂×Dic₂₆	C₂×C₄	1	1	yes	characteristic
82	#6122	—	2	2	no	—
83	#6122	—	2	2	no	—
84	#6122	D₄	1	4	yes	complemented
85	C₂×#1057	—	2	2	no	—
86	C₂×#1057	—	2	2	no	—
87	C₂×#1057	—	2	2	no	—
88	C₂×#1057	C₂³	1	1	yes	characteristic
89	C₂×#1057	C₂³	1	1	yes	characteristic
90	C₂×#1057	C₂³	1	1	yes	characteristic
91	C₂×#1057	C₂³	1	1	yes	characteristic
92	C₂×#1057	C₂³	1	1	yes	characteristic
93	C₂×#1057	C₂³	1	1	yes	characteristic
94	C₂×#1057	C₂³	1	1	yes	characteristic
95	C₂×#1057	C₂³	1	1	yes	characteristic
96	#6118	—	2	2	no	—
97	#6118	—	2	2	no	—
98	#6118	—	2	2	no	—
99	D₁₃⋊C₈	—	2	2	no	—
100	D₁₃⋊C₈	—	2	2	no	—
101	D₁₃⋊C₈	—	2	2	no	—
102	C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
103	C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
104	C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
105	C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
106	C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
107	C₂²⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
108	#6103	C₂×C₄	1	1	yes	characteristic
109	#6103	C₂×C₄	1	1	yes	characteristic
110	#6103	C₂×C₄	1	1	yes	characteristic
111	#6103	C₂×C₄	1	1	yes	characteristic
112	#6103	C₂×C₄	1	1	yes	characteristic
113	#6103	C₂×C₄	1	1	yes	characteristic
114	#6101	C₂×C₄	1	1	yes	characteristic
115	#6101	C₂×C₄	1	1	yes	characteristic
116	#6101	C₂×C₄	1	1	yes	characteristic
117	#6101	C₂×C₄	1	1	yes	characteristic
118	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
119	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
120	#2933	—	13	1	no	maximal, Sylow
121	C₂³×C₁₃	C₂²×C₄	1	1	yes	characteristic
122	C₂³×C₁₃	C₂²×C₄	1	1	yes	characteristic
123	C₂²×D₁₃	—	2	2	no	—
124	C₂²×D₁₃	—	2	2	no	—
125	C₂²×D₁₃	—	4	1	no	—
126	C₂²×D₁₃	C₂²×C₄	1	1	yes	characteristic
127	C₂²×D₁₃	C₂²×C₄	1	1	yes	characteristic
128	C₂²×D₁₃	C₂²×C₄	1	1	yes	characteristic
129	D₄×C₁₃	—	2	2	no	—
130	C₂×C₄×C₁₃	—	2	2	no	—
131	C₂×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
132	C₂×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
133	C₂×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
134	C₂×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
135	C₂×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
136	C₂²⋊D₁₃	—	2	2	no	—
137	C₂²⋊D₁₃	—	2	2	no	—
138	C₂²⋊D₁₃	—	2	2	no	—
139	C₂²⋊D₁₃	—	4	1	no	—
140	C₂×Dic₁₃	—	2	1	no	—
141	C₂×Dic₁₃	—	2	1	no	—
142	C₂×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
143	C₂×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
144	C₂×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
145	C₂×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
146	C₂×Dic₁₃	C₂×D₄	1	2	yes	—
147	C₂×Dic₁₃	#41	1	2	yes	—
148	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
149	D₅₂	—	2	2	no	—
150	D₅₂	—	4	1	no	—
151	C₄×D₁₃	—	2	2	no	—
152	C₄×D₁₃	—	2	2	no	—
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	1	no	—
158	C₄×D₁₃	—	2	1	no	—
159	Dic₂₆	—	2	2	no	—
160	#1057	—	2	1	no	—
161	#1057	—	2	1	no	—
162	#1057	—	2	1	no	—
163	#1057	—	2	1	no	—
164	#1057	—	2	1	no	—
165	#1057	—	2	1	no	—
166	#1057	C₂×D₄	1	2	yes	—
167	#1057	C₂×D₄	1	2	yes	—
168	C₂×#131	—	13	1	no	—
169	C₂²×M₁₆	—	13	1	no	—
170	#525	—	13	1	no	—
171	#436	—	13	1	no	—
172	#436	—	13	1	no	—
173	#435	—	13	1	no	—
174	#435	—	13	1	no	—
175	#435	—	13	1	no	—
176	#435	—	13	1	no	—
177	C₈×D₄	—	13	1	no	—
178	C₈×D₄	—	13	1	no	—
179	#424	—	13	1	no	—
180	#408	—	13	1	no	—
181	C₂×C₂²⋊C₈	—	13	1	no	—
182	#405	—	13	1	no	—
183	C₂²×C₁₃	—	2	1	no	—
184	C₂²×C₁₃	—	2	1	no	—
185	C₂²×C₁₃	—	2	1	no	—
186	C₂²×C₁₃	—	2	1	no	—
187	C₂²×C₁₃	—	2	1	no	—
188	C₂²×C₁₃	C₄×D₄	1	2	yes	—
189	C₂²×C₁₃	C₂³×C₄	1	1	yes	characteristic
190	C₂×D₁₃	—	2	1	no	—
191	C₂×D₁₃	—	2	1	no	—
192	C₂×D₁₃	—	2	1	no	—
193	C₂×D₁₃	—	2	1	no	—
194	C₂×D₁₃	—	2	1	no	—
195	C₂×D₁₃	—	2	1	no	—
196	C₂×D₁₃	—	2	1	no	—
197	C₂×D₁₃	—	2	1	no	—
198	C₂×D₁₃	—	4	4	no	—
199	C₂×D₁₃	#131	1	2	yes	complemented
200	C₄×C₁₃	—	2	1	no	—
201	C₄×C₁₃	—	2	1	no	—
202	C₄×C₁₃	—	2	1	no	—
203	C₄×C₁₃	—	2	1	no	—
204	C₄×C₁₃	—	2	1	no	—
205	Dic₁₃	—	2	1	no	—
206	Dic₁₃	—	2	1	no	—
207	Dic₁₃	—	2	1	no	—
208	Dic₁₃	C₄×D₄	1	2	yes	—
209	Dic₁₃	C₂²×D₄	1	1	yes	characteristic
210	Dic₁₃	C₂×#41	1	1	yes	characteristic
211	C₂×#41	—	13	1	no	—
212	C₂³×C₄	—	13	1	no	—
213	#131	—	26	4	no	—
214	C₂×M₁₆	—	13	1	no	—
215	C₂×M₁₆	—	13	1	no	—
216	C₂×M₁₆	—	13	1	no	—
217	C₂×M₁₆	—	13	1	no	—
218	C₂×M₁₆	—	13	1	no	—
219	C₂×M₁₆	—	13	1	no	—
220	C₂×M₁₆	—	26	4	no	—
221	C₂²×C₈	—	13	1	no	—
222	C₂²×C₈	—	13	1	no	—
223	C₂²×C₈	—	13	1	no	—
224	C₂²×C₈	—	13	1	no	—
225	C₂²×C₈	—	13	1	no	—
226	C₂²×C₈	—	13	1	no	—
227	#123	—	13	1	no	—
228	#123	#261	1	1	yes	characteristic
229	C₂²⋊Q₈	—	13	1	no	—
230	C₂²⋊Q₈	—	13	1	no	—
231	#121	—	13	1	no	—
232	#121	—	13	1	no	—
233	#120	—	13	1	no	—
234	#120	—	13	1	no	—
235	C₄×D₄	—	13	1	no	—
236	C₄×D₄	—	13	1	no	—
237	C₄×D₄	—	13	1	no	—
238	C₄×D₄	—	13	1	no	—
239	#117	—	13	1	no	—
240	C₄⋊C₈	—	13	1	no	—
241	C₄⋊C₈	—	13	1	no	—
242	C₄⋊C₈	—	13	1	no	—
243	C₄⋊C₈	—	13	1	no	—
244	C₂²⋊C₈	—	13	1	no	—
245	C₂²⋊C₈	—	13	1	no	—
246	C₂²⋊C₈	—	13	1	no	—
247	C₂²⋊C₈	—	13	1	no	—
248	C₂²⋊C₈	—	13	1	no	—
249	C₂²⋊C₈	—	13	1	no	—
250	C₂²⋊C₈	—	13	1	no	—
251	C₂²⋊C₈	—	13	1	no	—
252	#97	—	13	1	no	—
253	#97	—	13	1	no	—
254	C₄×C₈	—	13	1	no	—
255	C₄×C₈	—	13	1	no	—
256	C₂×C₁₃	—	2	2	no	—
257	C₂×C₁₃	—	4	1	no	—
258	C₂×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
259	C₂×C₁₃	C₂×#131	1	1	yes	characteristic
260	C₂×C₁₃	#568	1	1	yes	characteristic
261	D₁₃	—	2	2	no	—
262	D₁₃	—	4	1	no	—
263	D₁₃	—	4	1	no	—
264	C₂⁴	—	13	1	no	—
265	#41	—	26	2	no	—
266	#41	—	26	2	no	—
267	C₂×Q₈	—	13	1	no	—
268	C₂×D₄	—	13	1	no	—
269	C₂×D₄	—	13	1	no	—
270	C₂×D₄	—	13	1	no	—
271	C₂×D₄	—	13	1	no	—
272	C₂×D₄	—	13	1	no	—
273	C₂×D₄	—	13	1	no	—
274	C₂×D₄	C₂×#261	1	1	yes	characteristic
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	—	26	2	no	—
283	C₂²×C₄	—	26	2	no	—
284	C₂²×C₄	C₂×#261	1	1	yes	characteristic
285	M₁₆	—	13	4	no	—
286	M₁₆	—	26	2	no	—
287	M₁₆	—	26	2	no	—
288	M₁₆	—	26	2	no	—
289	M₁₆	—	26	2	no	—
290	M₁₆	—	26	2	no	—
291	C₂×C₈	—	13	1	no	—
292	C₂×C₈	—	13	1	no	—
293	C₂×C₈	—	13	1	no	—
294	C₂×C₈	—	13	1	no	—
295	C₂×C₈	—	13	1	no	—
296	C₂×C₈	—	13	1	no	—
297	C₂×C₈	—	13	1	no	—
298	C₂×C₈	—	13	1	no	—
299	C₂×C₈	—	26	2	no	—
300	C₂×C₈	—	26	2	no	—
301	C₂×C₈	—	26	2	no	—
302	C₂×C₈	—	26	2	no	—
303	C₂×C₈	—	26	2	no	—
304	C₂×C₈	—	26	2	no	—
305	C₄⋊C₄	—	13	1	no	—
306	C₄⋊C₄	—	13	1	no	—
307	C₄⋊C₄	—	13	1	no	—
308	C₄⋊C₄	—	13	1	no	—
309	C₄⋊C₄	C₂×#261	1	1	yes	characteristic
310	C₄⋊C₄	C₂×#261	1	1	yes	characteristic
311	C₂²⋊C₄	—	13	1	no	—
312	C₂²⋊C₄	—	13	1	no	—
313	C₂²⋊C₄	—	13	1	no	—
314	C₂²⋊C₄	—	13	1	no	—
315	C₂²⋊C₄	—	13	1	no	—
316	C₂²⋊C₄	—	13	1	no	—
317	C₂²⋊C₄	—	13	1	no	—
318	C₂²⋊C₄	C₂×#261	1	1	yes	characteristic
319	C₂²⋊C₄	C₂×#261	1	1	yes	characteristic
320	C₂²⋊C₄	C₂×#261	1	1	yes	characteristic
321	C₄²	—	13	1	no	—
322	C₄²	—	13	1	no	—
323	C₁₃	#2933	1	1	yes	characteristic, complemented, Sylow
324	C₂³	—	13	1	no	—
325	C₂³	—	13	1	no	—
326	C₂³	—	13	1	no	—
327	C₂³	—	26	2	no	—
328	C₂³	—	26	2	no	—
329	C₂³	—	52	1	no	—
330	C₂³	C₂²×#261	1	1	yes	characteristic
331	C₂³	C₂²×#261	1	1	yes	characteristic
332	Q₈	—	26	2	no	—
333	D₄	—	2	2	no	—
334	D₄	—	26	2	no	—
335	D₄	—	26	2	no	—
336	D₄	—	26	2	no	—
337	D₄	—	26	2	no	—
338	D₄	—	52	1	no	—
339	D₄	—	52	1	no	—
340	C₂×C₄	—	2	2	no	—
341	C₂×C₄	—	13	2	no	—
342	C₂×C₄	—	13	2	no	—
343	C₂×C₄	—	13	1	no	—
344	C₂×C₄	—	13	1	no	—
345	C₂×C₄	—	13	1	no	—
346	C₂×C₄	—	13	1	no	—
347	C₂×C₄	—	13	1	no	—
348	C₂×C₄	—	26	1	no	—
349	C₂×C₄	—	26	1	no	—
350	C₂×C₄	—	26	1	no	—
351	C₂×C₄	—	26	2	no	—
352	C₂×C₄	—	26	2	no	—
353	C₂×C₄	—	26	1	no	—
354	C₂×C₄	—	26	1	no	—
355	C₂×C₄	—	26	1	no	—
356	C₂×C₄	—	26	1	no	—
357	C₂×C₄	—	26	1	no	—
358	C₂×C₄	C₂²×#261	1	1	yes	characteristic
359	C₂×C₄	C₂²×#261	1	1	yes	characteristic
360	C₂×C₄	C₂²×#261	1	1	yes	characteristic
361	C₂×C₄	C₂²×#261	1	1	yes	characteristic
362	C₂×C₄	C₂²×#261	1	1	yes	characteristic
363	C₈	—	13	2	no	—
364	C₈	—	13	2	no	—
365	C₈	—	26	1	no	—
366	C₈	—	26	1	no	—
367	C₈	—	26	1	no	—
368	C₈	—	26	1	no	—
369	C₈	—	26	1	no	—
370	C₈	—	26	1	no	—
371	C₂²	—	2	1	no	—
372	C₂²	—	2	1	no	—
373	C₂²	—	2	1	no	—
374	C₂²	—	2	1	no	—
375	C₂²	—	2	1	no	—
376	C₂²	—	13	2	no	—
377	C₂²	—	26	1	no	—
378	C₂²	—	26	1	no	—
379	C₂²	—	26	1	no	—
380	C₂²	—	26	1	no	—
381	C₂²	—	26	1	no	—
382	C₂²	—	26	1	no	—
383	C₂²	—	26	1	no	—
384	C₂²	—	26	1	no	—
385	C₂²	—	52	4	no	—
386	C₂²	D₄×#261	1	2	yes	—
387	C₂²	C₂³×#261	1	1	yes	characteristic
388	C₄	—	2	1	no	—
389	C₄	—	2	1	no	—
390	C₄	—	2	1	no	—
391	C₄	—	2	1	no	—
392	C₄	—	2	1	no	—
393	C₄	—	13	2	no	—
394	C₄	—	13	1	no	—
395	C₄	—	13	1	no	—
396	C₄	—	26	1	no	—
397	C₄	—	26	1	no	—
398	C₄	—	26	1	no	—
399	C₂	—	2	2	no	—
400	C₂	—	4	1	no	—
401	C₂	—	26	2	no	—
402	C₂	—	52	1	no	—
403	C₂	—	52	1	no	—
404	C₂	C₂×D₄×#261	1	1	yes	characteristic
405	C₂	D₁₃⋊#131	1	1	yes	characteristic
406	C₂	#11719629	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂³×#261
commutator, socle	C₂²×C₁₃	C₂³×C₄
Fitting	C₁₃×#123	C₄
prime radical	#11719361	C₂
cosocle	C₂×Dic₁₃	C₂⁴
hypercenter	#123	#261
hypocenter	C₁₃	#2933
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #123

Complements

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

N	H ≅ G/N	type
1. C₂×#88238	C₂	semidirect
2. C₂×D₁₃⋊M₁₆	C₂	semidirect
4. #11719146	C₂	semidirect
5. C₂×#88111	C₂	semidirect
6. #11719076	C₂	semidirect
7. #11719075	C₂	semidirect
8. #11719075	C₂	semidirect
9. #11719073	C₂	semidirect
10. #11719067	C₂	semidirect
11. #11719066	C₂	semidirect
12. #11719065	C₂	semidirect
13. #11719064	C₂	semidirect
14. #11719063	C₂	semidirect
15. #11719062	C₂	semidirect
20. C₂×#6122	C₂²	semidirect
23. C₂²×#1057	C₂²	semidirect
28. C₂×#6118	C₂²	semidirect
31. C₂×D₁₃⋊C₈	C₂²	semidirect
45. C₂²⋊#1057	C₂²	semidirect
46. C₂²⋊#1057	C₂²	semidirect
47. #88112	C₂²	semidirect
48. #88112	C₂²	semidirect
53. #88111	C₂²	semidirect
54. #88111	C₂²	semidirect
55. #88110	C₂²	semidirect
56. #88110	C₂²	semidirect
57. C₄⋊#1057	C₂²	semidirect
58. C₄⋊#1057	C₂²	semidirect
59. C₄×#1057	C₂²	semidirect
60. C₄×#1057	C₂²	semidirect
84. #6122	D₄	semidirect
199. C₂×D₁₃	#131	semidirect
323. C₁₃	#2933	semidirect

Maximal subgroups

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

subgroup	index
C₂×#88238	2
C₂×D₁₃⋊M₁₆	2
#11719361	2
#11719146	2
C₂×#88111	2
#11719076	2
#11719075	2
#11719073	2
#11719067	2
#11719066	2
#11719065	2
#11719064	2
#11719063	2
#11719062	2
#2933	13