Subgroups — #15768830

Order 3328.

766 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	C₂²×#88059	C₂	1	1	yes	maximal, characteristic
2	C₂²×#88055	C₂	1	1	yes	maximal, characteristic
3	C₂×#11718150	C₂	1	2	yes	maximal
4	#13114529	C₂	1	2	yes	maximal
5	C₂²×C₁₃×#108	C₂	1	1	yes	maximal, characteristic
6	C₂²×C₁₃×M₁₆	C₂²	1	2	yes	—
7	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
8	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
9	C₂²×#6099	C₂²	1	2	yes	—
10	C₂³×#1055	C₂²	1	1	yes	characteristic
11	C₂×C₁₃×#108	—	2	2	no	—
12	C₂×C₁₃×#108	—	2	2	no	—
13	C₂×C₁₃×#108	C₄	1	4	yes	complemented
14	C₂×#88059	—	2	2	no	—
15	C₂×#88059	—	2	2	no	—
16	C₂×#88059	C₄	1	4	yes	complemented
17	C₂×#88055	—	2	2	no	—
18	C₂×#88055	—	2	2	no	—
19	C₂×#88055	C₄	1	4	yes	—
20	#11718150	—	2	4	no	—
21	#11718142	—	2	4	no	—
22	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
23	C₂³×Dic₁₃	Q₈	1	2	yes	—
24	C₂×C₁₃×M₁₆	—	2	2	no	—
25	C₂×C₁₃×M₁₆	—	2	2	no	—
26	C₂×C₁₃×M₁₆	—	2	2	no	—
27	C₂×C₁₃×M₁₆	—	2	2	no	—
28	C₂×C₁₃×M₁₆	—	2	2	no	—
29	C₂×C₁₃×M₁₆	C₂×C₄	1	4	yes	—
30	C₂²×C₈×C₁₃	—	2	2	no	—
31	C₂²×C₈×C₁₃	C₂×C₄	1	2	yes	—
32	C₂²×C₈×C₁₃	C₂×C₄	1	2	yes	—
33	C₂²×C₈×C₁₃	C₂×C₄	1	2	yes	—
34	C₂²×C₈×C₁₃	D₄	1	2	yes	—
35	C₂²×C₈×C₁₃	D₄	1	2	yes	—
36	C₂²×C₈×C₁₃	D₄	1	2	yes	—
37	C₂²×C₈×C₁₃	Q₈	1	2	yes	—
38	C₂×C₄×Dic₁₃	—	2	1	no	—
39	C₂×C₄×Dic₁₃	—	2	1	no	—
40	C₂×C₄×Dic₁₃	—	2	1	no	—
41	C₂×C₄×Dic₁₃	—	2	1	no	—
42	C₂×C₄×Dic₁₃	C₂×C₄	1	2	yes	—
43	C₂×C₄×Dic₁₃	D₄	1	2	yes	—
44	C₂×#6099	—	2	2	no	—
45	C₂×#6099	—	2	2	no	—
46	C₂×#6099	—	2	2	no	—
47	C₂×#6099	—	2	2	no	—
48	C₂×#6099	—	2	2	no	—
49	C₂×#6099	C₂×C₄	1	4	yes	—
50	C₂²×#1055	—	2	1	no	—
51	C₂²×#1055	—	2	1	no	—
52	C₂²×#1055	—	2	1	no	—
53	C₂²×#1055	—	2	1	no	—
54	C₂²×#1055	—	2	2	no	—
55	C₂²×#1055	C₂×C₄	1	2	yes	—
56	C₂²×#1055	D₄	1	2	yes	—
57	C₂²×#1055	Q₈	1	2	yes	—
58	C₁₃×#108	—	2	8	no	—
59	#88059	—	2	8	no	—
60	#88055	—	2	8	no	—
61	#10865	—	13	1	no	maximal, Sylow
62	C₂⁴×C₁₃	C₂×Q₈	1	1	yes	characteristic
63	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
64	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
65	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
66	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
67	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
68	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
69	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
70	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
71	C₂²×C₄×C₁₃	C₂×Q₈	1	1	yes	characteristic
72	C₂²×C₄×C₁₃	C₂×Q₈	1	1	yes	characteristic
73	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
74	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
75	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
76	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
77	C₂²×Dic₁₃	—	2	2	no	—
78	C₂²×Dic₁₃	—	2	2	no	—
79	C₂²×Dic₁₃	—	4	4	no	—
80	C₂²×Dic₁₃	C₄⋊C₄	1	4	yes	—
81	C₁₃×M₁₆	—	2	4	no	—
82	C₁₃×M₁₆	—	2	4	no	—
83	C₁₃×M₁₆	—	4	2	no	—
84	C₁₃×M₁₆	—	4	2	no	—
85	C₂×C₈×C₁₃	—	2	4	no	—
86	C₂×C₈×C₁₃	—	4	2	no	—
87	C₂×C₈×C₁₃	—	4	2	no	—
88	C₂×C₈×C₁₃	C₄²	1	4	yes	—
89	C₂×C₈×C₁₃	C₂²⋊C₄	1	4	yes	—
90	C₂×C₈×C₁₃	C₂²⋊C₄	1	4	yes	—
91	C₂×C₈×C₁₃	C₂²⋊C₄	1	4	yes	—
92	C₂×C₈×C₁₃	C₄⋊C₄	1	4	yes	—
93	C₂×C₈×C₁₃	C₄⋊C₄	1	4	yes	—
94	C₂×C₈×C₁₃	C₄⋊C₄	1	4	yes	—
95	C₄×Dic₁₃	—	2	2	no	—
96	C₄×Dic₁₃	—	2	2	no	—
97	C₄×Dic₁₃	—	2	2	no	—
98	C₄×Dic₁₃	—	2	2	no	—
99	#6099	—	2	4	no	—
100	#6099	—	2	4	no	—
101	#6099	—	4	2	no	—
102	#6099	—	4	2	no	—
103	C₂×#1055	—	2	2	no	—
104	C₂×#1055	—	2	2	no	—
105	C₂×#1055	—	2	2	no	—
106	C₂×#1055	—	2	2	no	—
107	C₂×#1055	—	2	2	no	—
108	C₂×#1055	—	2	2	no	—
109	C₂×#1055	—	2	4	no	—
110	C₂×#1055	—	4	2	no	—
111	C₂×#1055	—	4	2	no	—
112	C₂×#1055	C₄⋊C₄	1	4	yes	—
113	C₂²×#108	—	13	1	no	—
114	C₂²×#108	D₁₃	1	1	yes	characteristic
115	C₂²×#97	—	13	1	no	—
116	C₂×#341	—	13	2	no	—
117	#1728	—	13	2	no	—
118	C₂³×C₁₃	—	2	4	no	—
119	C₂³×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
120	C₂³×C₁₃	C₄×Q₈	1	1	yes	characteristic
121	C₂³×C₁₃	C₄×Q₈	1	1	yes	characteristic
122	C₂³×C₁₃	C₂²⋊Q₈	1	1	yes	characteristic
123	C₂³×C₁₃	C₂²⋊Q₈	1	1	yes	characteristic
124	C₂³×C₁₃	C₄⋊Q₈	1	1	yes	characteristic
125	C₂³×C₁₃	C₄⋊Q₈	1	1	yes	characteristic
126	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
127	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
128	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
129	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
130	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
131	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
132	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
133	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
134	C₂×C₄×C₁₃	#117	1	1	yes	characteristic
135	C₂×C₄×C₁₃	#117	1	1	yes	characteristic
136	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
137	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
138	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
139	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
140	C₂×C₄×C₁₃	C₄×Q₈	1	1	yes	characteristic
141	C₂×C₄×C₁₃	C₄×Q₈	1	1	yes	characteristic
142	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
143	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
144	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
145	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
146	C₂×C₄×C₁₃	C₂²⋊Q₈	1	1	yes	characteristic
147	C₂×C₄×C₁₃	C₂²⋊Q₈	1	1	yes	characteristic
148	C₂×C₄×C₁₃	#124	1	1	yes	characteristic
149	C₂×C₄×C₁₃	#124	1	1	yes	characteristic
150	C₂×C₄×C₁₃	#125	1	1	yes	characteristic
151	C₂×C₄×C₁₃	#125	1	1	yes	characteristic
152	C₂×C₄×C₁₃	#127	1	1	yes	characteristic
153	C₂×C₄×C₁₃	C₄⋊Q₈	1	1	yes	characteristic
154	C₂×Dic₁₃	—	2	4	no	—
155	C₂×Dic₁₃	—	2	8	no	—
156	C₂×Dic₁₃	—	4	4	no	—
157	C₂×Dic₁₃	—	4	4	no	—
158	C₈×C₁₃	—	4	4	no	—
159	C₈×C₁₃	#95	1	8	yes	—
160	#1055	—	2	4	no	—
161	#1055	—	4	4	no	—
162	C₂²×M₁₆	—	13	2	no	—
163	C₂²×M₁₆	C₂×D₁₃	1	2	yes	—
164	C₂³×C₈	—	13	1	no	—
165	C₂³×C₈	C₂×D₁₃	1	1	yes	characteristic
166	C₂²×C₄²	—	13	1	no	—
167	C₂×#108	—	2	2	no	—
168	C₂×#108	—	2	2	no	—
169	C₂×#108	—	13	4	no	—
170	C₂×#108	—	26	2	no	—
171	C₂×#108	—	26	2	no	—
172	C₂×#108	Dic₁₃	1	4	yes	complemented
173	C₂×#97	—	13	4	no	—
174	C₂×#97	—	26	2	no	—
175	C₂×#97	—	26	2	no	—
176	#341	—	26	4	no	—
177	#336	—	26	4	no	—
178	C₂²×C₁₃	—	2	2	no	—
179	C₂²×C₁₃	—	2	2	no	—
180	C₂²×C₁₃	—	2	2	no	—
181	C₂²×C₁₃	—	2	2	no	—
182	C₂²×C₁₃	—	2	2	no	—
183	C₂²×C₁₃	—	2	2	no	—
184	C₂²×C₁₃	C₄×C₄⋊C₄	1	1	yes	characteristic
185	C₂²×C₁₃	#380	1	1	yes	characteristic
186	C₂²×C₁₃	#384	1	1	yes	characteristic
187	C₂²×C₁₃	#389	1	1	yes	characteristic
188	C₂²×C₁₃	#389	1	1	yes	characteristic
189	C₂²×C₁₃	#391	1	1	yes	characteristic
190	C₂²×C₁₃	#391	1	1	yes	characteristic
191	C₂²×C₁₃	#430	1	4	yes	—
192	C₄×C₁₃	C₂×#95	1	1	yes	characteristic
193	C₄×C₁₃	C₄×C₄⋊C₄	1	1	yes	characteristic
194	C₄×C₁₃	#380	1	1	yes	characteristic
195	C₄×C₁₃	#382	1	1	yes	characteristic
196	C₄×C₁₃	#389	1	1	yes	characteristic
197	C₄×C₁₃	#389	1	1	yes	characteristic
198	C₄×C₁₃	#390	1	1	yes	characteristic
199	C₄×C₁₃	#390	1	1	yes	characteristic
200	Dic₁₃	—	4	4	no	—
201	C₂³×C₄	—	13	2	no	—
202	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
203	C₂×M₁₆	—	2	2	no	—
204	C₂×M₁₆	—	2	2	no	—
205	C₂×M₁₆	—	2	2	no	—
206	C₂×M₁₆	—	2	2	no	—
207	C₂×M₁₆	—	2	2	no	—
208	C₂×M₁₆	—	13	4	no	—
209	C₂×M₁₆	—	26	2	no	—
210	C₂×M₁₆	—	26	2	no	—
211	C₂×M₁₆	—	26	2	no	—
212	C₂×M₁₆	—	26	2	no	—
213	C₂×M₁₆	—	26	2	no	—
214	C₂×M₁₆	C₂×Dic₁₃	1	4	yes	—
215	C₂²×C₈	—	2	2	no	—
216	C₂²×C₈	—	13	2	no	—
217	C₂²×C₈	—	13	2	no	—
218	C₂²×C₈	—	13	2	no	—
219	C₂²×C₈	—	26	1	no	—
220	C₂²×C₈	—	26	1	no	—
221	C₂²×C₈	—	26	1	no	—
222	C₂²×C₈	—	26	1	no	—
223	C₂²×C₈	—	26	2	no	—
224	C₂²×C₈	Dic₂₆	1	2	yes	—
225	C₂²×C₈	C₄×D₁₃	1	2	yes	—
226	C₂²×C₈	C₄×D₁₃	1	2	yes	—
227	C₂²×C₈	D₅₂	1	2	yes	—
228	C₂²×C₈	C₂×Dic₁₃	1	2	yes	—
229	C₂²×C₈	C₂²⋊D₁₃	1	2	yes	—
230	C₂²×C₈	C₂²⋊D₁₃	1	2	yes	—
231	C₂×C₄²	—	13	2	no	—
232	C₂×C₄²	—	13	2	no	—
233	C₂×C₄²	—	26	1	no	—
234	C₂×C₄²	—	26	1	no	—
235	C₂×C₄²	—	26	1	no	—
236	C₂×C₄²	—	26	1	no	—
237	#108	—	2	8	no	—
238	#108	—	26	8	no	—
239	#97	—	26	8	no	—
240	C₂×C₁₃	—	2	1	no	—
241	C₂×C₁₃	—	2	1	no	—
242	C₂×C₁₃	—	2	1	no	—
243	C₂×C₁₃	—	2	1	no	—
244	C₂×C₁₃	C₄⋊#95	1	1	yes	characteristic
245	C₂×C₁₃	#1778	1	2	yes	—
246	C₂×C₁₃	#1811	1	2	yes	—
247	C₂×C₁₃	#1849	1	2	yes	—
248	C₂⁴	Q₈×D₁₃	1	1	yes	characteristic
249	C₂²×C₄	—	13	4	no	—
250	C₂²×C₄	—	26	2	no	—
251	C₂²×C₄	—	26	2	no	—
252	C₂²×C₄	—	52	4	no	—
253	C₂²×C₄	C₂×Dic₂₆	1	1	yes	characteristic
254	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
255	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
256	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
257	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
258	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
259	C₂²×C₄	#6129	1	1	yes	characteristic
260	C₂²×C₄	#6129	1	1	yes	characteristic
261	C₂²×C₄	Q₈×D₁₃	1	1	yes	characteristic
262	C₂²×C₄	#6131	1	1	yes	characteristic
263	C₂²×C₄	#6131	1	1	yes	characteristic
264	C₂²×C₄	C₂²×Dic₁₃	1	1	yes	characteristic
265	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
266	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
267	M₁₆	—	2	4	no	—
268	M₁₆	—	2	4	no	—
269	M₁₆	—	4	2	no	—
270	M₁₆	—	4	2	no	—
271	M₁₆	—	26	4	no	—
272	M₁₆	—	26	4	no	—
273	M₁₆	—	52	2	no	—
274	M₁₆	—	52	2	no	—
275	C₂×C₈	—	2	4	no	—
276	C₂×C₈	—	4	2	no	—
277	C₂×C₈	—	4	2	no	—
278	C₂×C₈	—	13	4	no	—
279	C₂×C₈	—	26	2	no	—
280	C₂×C₈	—	26	2	no	—
281	C₂×C₈	—	26	2	no	—
282	C₂×C₈	—	26	2	no	—
283	C₂×C₈	—	26	2	no	—
284	C₂×C₈	—	26	2	no	—
285	C₂×C₈	—	26	4	no	—
286	C₂×C₈	—	52	2	no	—
287	C₂×C₈	—	52	2	no	—
288	C₂×C₈	C₄×Dic₁₃	1	4	yes	—
289	C₂×C₈	#6101	1	4	yes	—
290	C₂×C₈	#6101	1	4	yes	—
291	C₂×C₈	C₄⋊Dic₁₃	1	4	yes	—
292	C₂×C₈	#6103	1	4	yes	—
293	C₂×C₈	#6103	1	4	yes	—
294	C₂×C₈	C₂²⋊Dic₁₃	1	4	yes	—
295	C₄²	—	26	2	no	—
296	C₄²	—	26	2	no	—
297	C₄²	—	26	2	no	—
298	C₄²	—	26	2	no	—
299	C₁₃	#10865	1	1	yes	characteristic, complemented, Sylow
300	C₂³	—	2	4	no	—
301	C₂³	#88141	1	1	yes	characteristic
302	C₂³	#88142	1	1	yes	characteristic
303	C₂³	C₄⋊C₄×D₁₃	1	1	yes	characteristic
304	C₂³	#88151	1	1	yes	characteristic
305	C₂³	#88198	1	1	yes	characteristic
306	C₂³	Q₈×Dic₁₃	1	1	yes	characteristic
307	C₂³	#88200	1	1	yes	characteristic
308	C₂×C₄	—	26	8	no	—
309	C₂×C₄	—	26	4	no	—
310	C₂×C₄	—	52	4	no	—
311	C₂×C₄	—	52	4	no	—
312	C₂×C₄	#88141	1	1	yes	characteristic
313	C₂×C₄	#88142	1	1	yes	characteristic
314	C₂×C₄	#88144	1	1	yes	characteristic
315	C₂×C₄	#88144	1	1	yes	characteristic
316	C₂×C₄	C₄⋊C₄×D₁₃	1	1	yes	characteristic
317	C₂×C₄	#88146	1	1	yes	characteristic
318	C₂×C₄	#88146	1	1	yes	characteristic
319	C₂×C₄	#88147	1	1	yes	characteristic
320	C₂×C₄	#88147	1	1	yes	characteristic
321	C₂×C₄	#88149	1	1	yes	characteristic
322	C₂×C₄	#88149	1	1	yes	characteristic
323	C₂×C₄	#88151	1	1	yes	characteristic
324	C₂×C₄	C₂×C₄×Dic₁₃	1	1	yes	characteristic
325	C₂×C₄	C₂×#6101	1	1	yes	characteristic
326	C₂×C₄	C₂×#6101	1	1	yes	characteristic
327	C₂×C₄	C₂×C₄⋊Dic₁₃	1	1	yes	characteristic
328	C₂×C₄	C₂×#6103	1	1	yes	characteristic
329	C₂×C₄	C₂×#6103	1	1	yes	characteristic
330	C₂×C₄	D₄×Dic₁₃	1	1	yes	characteristic
331	C₂×C₄	D₄×Dic₁₃	1	1	yes	characteristic
332	C₂×C₄	#88190	1	1	yes	characteristic
333	C₂×C₄	#88192	1	1	yes	characteristic
334	C₂×C₄	#88192	1	1	yes	characteristic
335	C₂×C₄	#88194	1	1	yes	characteristic
336	C₂×C₄	Q₈×Dic₁₃	1	1	yes	characteristic
337	C₂×C₄	#88200	1	1	yes	characteristic
338	C₂×C₄	#88201	1	1	yes	characteristic
339	C₂×C₄	C₂×C₂²⋊Dic₁₃	1	1	yes	characteristic
340	C₈	—	4	4	no	—
341	C₈	—	26	4	no	—
342	C₈	—	52	4	no	—
343	C₈	#88071	1	8	yes	—
344	C₂²	—	2	2	no	—
345	C₂²	—	2	2	no	—
346	C₂²	—	2	2	no	—
347	C₂²	—	2	2	no	—
348	C₂²	—	2	2	no	—
349	C₂²	—	2	2	no	—
350	C₂²	#11718554	1	4	yes	—
351	C₂²	#11718634	1	1	yes	characteristic
352	C₂²	#11718635	1	1	yes	characteristic
353	C₂²	C₄⋊C₄×Dic₁₃	1	1	yes	characteristic
354	C₂²	#11718637	1	1	yes	characteristic
355	C₂²	#11718646	1	1	yes	characteristic
356	C₂²	#11718648	1	1	yes	characteristic
357	C₂²	#11718891	1	1	yes	characteristic
358	C₄	—	52	4	no	—
359	C₄	#11718634	1	1	yes	characteristic
360	C₄	C₄⋊C₄×Dic₁₃	1	1	yes	characteristic
361	C₄	#11718638	1	1	yes	characteristic
362	C₄	#11718646	1	1	yes	characteristic
363	C₄	#11718648	1	1	yes	characteristic
364	C₄	#11718649	1	1	yes	characteristic
365	C₄	C₂×#88071	1	1	yes	characteristic
366	C₄	#11718882	1	1	yes	characteristic
367	C₂	—	2	1	no	—
368	C₂	—	2	1	no	—
369	C₂	—	2	1	no	—
370	C₂	—	2	1	no	—
371	C₂	#13113065	1	1	yes	characteristic
372	C₂	#13114744	1	2	yes	—
373	C₂	#13114875	1	2	yes	—
374	C₂	#13115009	1	2	yes	—

	subgroup	G/H
center	C₂²×C₄	D₄×D₁₃
commutator	C₂×C₄×C₁₃	C₂×C₄²
Frattini	C₂³×C₄	C₂²×D₁₃
Fitting	C₂²×C₁₃×#108	C₂
socle	C₂³×C₁₃	C₂×C₄⋊C₄
prime radical	C₂⁴×C₁₃	C₂×Q₈
cosocle	C₂³×C₄×C₁₃	C₂³
hypercenter	C₂²×#108	D₁₃
hypocenter	C₁₃	#10865
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂³×C₄ ◁ C₂²×#108

Complements

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

N	H ≅ G/N	type
13. C₂×C₁₃×#108	C₄	semidirect
16. C₂×#88059	C₄	semidirect
172. C₂×#108	Dic₁₃	semidirect
299. C₁₃	#10865	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#88059	2
C₂²×#88055	2
C₂×#11718150	2
#13114529	2
C₂²×C₁₃×#108	2
#10865	13