Subgroups — #10685147

Order 768.

612 conjugacy classes of subgroups.

The subgroup lattice has 386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#423	C₂	1	1	yes	maximal, characteristic
2	#82049	C₂	1	1	yes	maximal, characteristic
3	C₂×#4924	C₂	1	1	yes	maximal, characteristic
4	#67705	C₂	1	4	yes	maximal, complemented
5	#8004	—	3	1	no	maximal, Sylow
6	C₂²×C₃×M₁₆	C₄	1	2	yes	—
7	C₂²×C₃×C₄²	C₂²	1	1	yes	characteristic
8	C₂²×#208	—	2	1	no	—
9	C₃×#423	—	2	1	no	—
10	C₃×#423	—	2	1	no	—
11	C₃×#423	—	2	1	no	—
12	C₃×#423	—	2	1	no	—
13	C₂×C₃×C₄⋊C₈	C₄	1	2	yes	—
14	C₂×C₃×C₄⋊C₈	C₂²	1	2	yes	—
15	#5207	—	2	1	no	—
16	#4926	—	2	1	no	—
17	#4926	C₄	1	2	yes	—
18	#4925	—	2	1	no	—
19	#4925	C₄	1	2	yes	—
20	#4924	—	2	1	no	—
21	#4924	—	2	1	no	—
22	#4924	C₄	1	2	yes	—
23	#4924	C₂²	1	2	yes	—
24	#4924	C₂²	1	2	yes	—
25	C₂×C₄⋊(C₃⋊C₈)	—	2	1	no	—
26	C₂×C₄⋊(C₃⋊C₈)	C₄	1	2	yes	—
27	C₄×#208	—	2	1	no	—
28	#2920	—	3	1	no	—
29	C₂×#423	—	3	1	no	—
30	C₂×#423	D₃	1	1	yes	characteristic
31	#1292	—	3	4	no	—
32	C₂³×C₃×C₄	C₂×C₄	1	1	yes	characteristic
33	C₂³×C₃×C₄	D₄	1	1	yes	characteristic
34	C₂³×C₃×C₄	Q₈	1	1	yes	characteristic
35	C₂×C₃×M₁₆	—	2	2	no	—
36	C₂×C₃×M₁₆	—	2	2	no	—
37	C₂×C₃×M₁₆	—	4	4	no	—
38	C₂²×C₃×C₈	C₂×C₄	1	4	yes	—
39	C₂×C₃×C₄²	C₂×C₄	1	1	yes	characteristic
40	C₂×C₃×C₄²	C₂×C₄	1	1	yes	characteristic
41	C₂×C₃×C₄²	C₂×C₄	1	1	yes	characteristic
42	C₂×C₃×C₄²	C₂×C₄	1	1	yes	characteristic
43	C₂×C₃×C₄²	C₂×C₄	1	1	yes	characteristic
44	C₂×C₃×C₄²	D₄	1	1	yes	characteristic
45	C₂×C₃×C₄²	D₄	1	1	yes	characteristic
46	C₂×C₃×C₄²	D₄	1	1	yes	characteristic
47	C₂×C₃×C₄²	D₄	1	1	yes	characteristic
48	C₂×C₃×C₄²	D₄	1	1	yes	characteristic
49	C₂×C₃×C₄²	Q₈	1	1	yes	characteristic
50	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
51	C₂×#208	—	2	2	no	—
52	C₂×#208	—	2	2	no	—
53	C₂×#208	—	2	2	no	—
54	C₂×#208	—	4	4	no	—
55	C₂²×C₃⋊C₈	—	2	2	no	—
56	C₃×C₄⋊C₈	—	2	2	no	—
57	C₃×C₄⋊C₈	—	2	2	no	—
58	C₃×C₄⋊C₈	—	2	2	no	—
59	C₃×C₄⋊C₈	—	2	2	no	—
60	#830	—	2	2	no	—
61	#830	—	2	2	no	—
62	C₄⋊(C₃⋊C₈)	—	2	2	no	—
63	C₄⋊(C₃⋊C₈)	—	2	2	no	—
64	C₄⋊(C₃⋊C₈)	—	2	2	no	—
65	C₄⋊(C₃⋊C₈)	—	2	2	no	—
66	C₄⋊(C₃⋊C₈)	C₂×C₄	1	4	yes	—
67	C₄⋊(C₃⋊C₈)	C₂×C₄	1	4	yes	—
68	#803	—	2	2	no	—
69	C₄×C₃⋊C₈	—	2	2	no	—
70	C₂²×M₁₆	—	6	1	no	—
71	C₂²×M₁₆	Dic₃	1	2	yes	—
72	C₂²×C₄²	C₂×D₃	1	1	yes	characteristic
73	#432	—	3	2	no	—
74	#432	—	6	1	no	—
75	#431	—	3	2	no	—
76	#431	—	6	1	no	—
77	#423	—	2	1	no	—
78	#423	—	2	1	no	—
79	#423	—	2	1	no	—
80	#423	—	2	1	no	—
81	#423	—	3	2	no	—
82	#423	—	3	2	no	—
83	#423	—	3	2	no	—
84	#423	—	6	1	no	—
85	#423	—	6	1	no	—
86	C₂×C₄⋊C₈	—	3	2	no	—
87	C₂×C₄⋊C₈	—	6	1	no	—
88	C₂×C₄⋊C₈	Dic₃	1	2	yes	—
89	C₂×C₄⋊C₈	C₂×D₃	1	2	yes	—
90	#407	—	6	1	no	—
91	C₄×M₁₆	—	6	1	no	—
92	C₂⁴×C₃	C₄⋊C₄	1	1	yes	characteristic
93	C₂²×C₃×C₄	—	2	2	no	—
94	C₂²×C₃×C₄	—	2	2	no	—
95	C₂²×C₃×C₄	—	2	2	no	—
96	C₂²×C₃×C₄	—	2	2	no	—
97	C₂²×C₃×C₄	—	4	2	no	—
98	C₂²×C₃×C₄	C₄²	1	1	yes	characteristic
99	C₂²×C₃×C₄	C₄²	1	1	yes	characteristic
100	C₂²×C₃×C₄	C₂²⋊C₄	1	1	yes	characteristic
101	C₂²×C₃×C₄	C₂²⋊C₄	1	1	yes	characteristic
102	C₂²×C₃×C₄	C₂²⋊C₄	1	1	yes	characteristic
103	C₂²×C₃×C₄	C₂²⋊C₄	1	1	yes	characteristic
104	C₂²×C₃×C₄	C₂²⋊C₄	1	1	yes	characteristic
105	C₂²×C₃×C₄	C₂²⋊C₄	1	1	yes	characteristic
106	C₂²×C₃×C₄	C₄⋊C₄	1	1	yes	characteristic
107	C₂²×C₃×C₄	C₄⋊C₄	1	1	yes	characteristic
108	C₂²×C₃×C₄	C₄⋊C₄	1	1	yes	characteristic
109	C₂²×C₃×C₄	C₄⋊C₄	1	1	yes	characteristic
110	C₂²×C₃×C₄	C₄⋊C₄	1	1	yes	characteristic
111	C₂²×C₃×C₄	C₄⋊C₄	1	1	yes	characteristic
112	C₂²×C₃×C₄	C₄⋊C₄	1	1	yes	characteristic
113	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
114	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
115	C₂²×C₃×C₄	C₂×Q₈	1	1	yes	characteristic
116	C₃×M₁₆	—	4	4	no	—
117	C₃×M₁₆	—	4	4	no	—
118	C₂×C₃×C₈	—	2	4	no	—
119	C₂×C₃×C₈	—	4	4	no	—
120	C₃×C₄²	C₄²	1	1	yes	characteristic
121	C₃×C₄²	C₄²	1	1	yes	characteristic
122	C₃×C₄²	C₂²⋊C₄	1	1	yes	characteristic
123	C₃×C₄²	C₂²⋊C₄	1	1	yes	characteristic
124	C₃×C₄²	C₂²⋊C₄	1	1	yes	characteristic
125	C₃×C₄²	C₂²⋊C₄	1	1	yes	characteristic
126	C₃×C₄²	C₂²⋊C₄	1	1	yes	characteristic
127	C₃×C₄²	C₂²⋊C₄	1	1	yes	characteristic
128	C₃×C₄²	C₄⋊C₄	1	1	yes	characteristic
129	C₃×C₄²	C₄⋊C₄	1	1	yes	characteristic
130	C₃×C₄²	C₄⋊C₄	1	1	yes	characteristic
131	C₃×C₄²	C₄⋊C₄	1	1	yes	characteristic
132	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
133	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
134	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
135	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
136	#208	—	4	4	no	—
137	#208	—	4	2	no	—
138	#208	—	4	4	no	—
139	#208	—	4	2	no	—
140	C₂×C₃⋊C₈	—	2	4	no	—
141	C₂×C₃⋊C₈	—	2	4	no	—
142	C₂×C₃⋊C₈	—	4	4	no	—
143	C₂³×C₄	Dic₆	1	1	yes	characteristic
144	C₂³×C₄	D₁₂	1	1	yes	characteristic
145	C₂³×C₄	C₂×Dic₃	1	1	yes	characteristic
146	C₂×M₁₆	—	2	2	no	—
147	C₂×M₁₆	—	2	2	no	—
148	C₂×M₁₆	—	4	4	no	—
149	C₂×M₁₆	—	6	2	no	—
150	C₂×M₁₆	—	6	2	no	—
151	C₂×M₁₆	—	6	2	no	—
152	C₂×M₁₆	—	12	4	no	—
153	C₂²×C₈	—	6	2	no	—
154	C₂²×C₈	C₂×Dic₃	1	4	yes	—
155	C₂×C₄²	Dic₆	1	1	yes	characteristic
156	C₂×C₄²	C₄×D₃	1	1	yes	characteristic
157	C₂×C₄²	C₄×D₃	1	1	yes	characteristic
158	C₂×C₄²	C₄×D₃	1	1	yes	characteristic
159	C₂×C₄²	C₄×D₃	1	1	yes	characteristic
160	C₂×C₄²	D₁₂	1	1	yes	characteristic
161	C₂×C₄²	C₂×Dic₃	1	1	yes	characteristic
162	C₂×C₄²	#67	1	1	yes	characteristic
163	C₂×C₄²	#67	1	1	yes	characteristic
164	C₂×C₄²	#67	1	1	yes	characteristic
165	C₂×C₄²	#67	1	1	yes	characteristic
166	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
167	C₄⋊C₈	—	2	2	no	—
168	C₄⋊C₈	—	2	2	no	—
169	C₄⋊C₈	—	2	2	no	—
170	C₄⋊C₈	—	2	2	no	—
171	C₄⋊C₈	—	3	4	no	—
172	C₄⋊C₈	—	3	4	no	—
173	C₄⋊C₈	—	6	2	no	—
174	C₄⋊C₈	—	6	2	no	—
175	C₄⋊C₈	—	6	2	no	—
176	C₄⋊C₈	—	6	2	no	—
177	C₂²⋊C₈	—	6	2	no	—
178	C₂²⋊C₈	—	6	2	no	—
179	#97	—	6	2	no	—
180	C₄×C₈	—	6	2	no	—
181	C₂³×C₃	—	2	2	no	—
182	C₂³×C₃	—	2	2	no	—
183	C₂³×C₃	—	4	1	no	—
184	C₂³×C₃	#95	1	1	yes	characteristic
185	C₂³×C₃	#95	1	1	yes	characteristic
186	C₂³×C₃	C₂×C₄⋊C₄	1	1	yes	characteristic
187	C₂×C₃×C₄	—	2	2	no	—
188	C₂×C₃×C₄	—	2	2	no	—
189	C₂×C₃×C₄	—	2	2	no	—
190	C₂×C₃×C₄	—	2	2	no	—
191	C₂×C₃×C₄	—	2	2	no	—
192	C₂×C₃×C₄	—	2	2	no	—
193	C₂×C₃×C₄	—	2	2	no	—
194	C₂×C₃×C₄	—	2	1	no	—
195	C₂×C₃×C₄	—	2	1	no	—
196	C₂×C₃×C₄	—	2	1	no	—
197	C₂×C₃×C₄	—	2	1	no	—
198	C₂×C₃×C₄	—	2	2	no	—
199	C₂×C₃×C₄	—	2	2	no	—
200	C₂×C₃×C₄	—	2	1	no	—
201	C₂×C₃×C₄	—	2	1	no	—
202	C₂×C₃×C₄	—	2	1	no	—
203	C₂×C₃×C₄	—	2	1	no	—
204	C₂×C₃×C₄	—	4	1	no	—
205	C₂×C₃×C₄	—	4	1	no	—
206	C₂×C₃×C₄	—	4	1	no	—
207	C₂×C₃×C₄	#95	1	1	yes	characteristic
208	C₂×C₃×C₄	#95	1	1	yes	characteristic
209	C₂×C₃×C₄	#95	1	1	yes	characteristic
210	C₂×C₃×C₄	#95	1	1	yes	characteristic
211	C₂×C₃×C₄	#95	1	1	yes	characteristic
212	C₂×C₃×C₄	#95	1	1	yes	characteristic
213	C₂×C₃×C₄	#100	1	2	yes	—
214	C₂×C₃×C₄	#101	1	2	yes	—
215	C₂×C₃×C₄	C₂×C₄²	1	1	yes	characteristic
216	C₂×C₃×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
217	C₂×C₃×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
218	C₂×C₃×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
219	C₂×C₃×C₄	C₂×C₄⋊C₄	1	1	yes	characteristic
220	C₂×C₃×C₄	C₂×C₄⋊C₄	1	1	yes	characteristic
221	C₂×C₃×C₄	AGL(1,ℤ/8)	1	2	yes	—
222	C₂×C₃×C₄	#137	1	2	yes	—
223	C₃×C₈	—	4	4	no	—
224	C₃⋊C₈	—	4	4	no	—
225	C₃⋊C₈	—	4	4	no	—
226	C₂⁴	C₄⋊Dic₃	1	1	yes	characteristic
227	C₂²×C₄	—	2	2	no	—
228	C₂²×C₄	—	2	2	no	—
229	C₂²×C₄	—	2	2	no	—
230	C₂²×C₄	—	2	2	no	—
231	C₂²×C₄	—	4	2	no	—
232	C₂²×C₄	C₄×Dic₃	1	1	yes	characteristic
233	C₂²×C₄	C₄×Dic₃	1	1	yes	characteristic
234	C₂²×C₄	Dic₃⋊C₄	1	1	yes	characteristic
235	C₂²×C₄	Dic₃⋊C₄	1	1	yes	characteristic
236	C₂²×C₄	Dic₃⋊C₄	1	1	yes	characteristic
237	C₂²×C₄	Dic₃⋊C₄	1	1	yes	characteristic
238	C₂²×C₄	C₄⋊Dic₃	1	1	yes	characteristic
239	C₂²×C₄	C₄⋊Dic₃	1	1	yes	characteristic
240	C₂²×C₄	C₄⋊Dic₃	1	1	yes	characteristic
241	C₂²×C₄	(C₂×D₃)⋊C₄	1	1	yes	characteristic
242	C₂²×C₄	(C₂×D₃)⋊C₄	1	1	yes	characteristic
243	C₂²×C₄	(C₂×D₃)⋊C₄	1	1	yes	characteristic
244	C₂²×C₄	(C₂×D₃)⋊C₄	1	1	yes	characteristic
245	C₂²×C₄	#217	1	1	yes	characteristic
246	C₂²×C₄	#217	1	1	yes	characteristic
247	C₂²×C₄	C₂×Dic₆	1	1	yes	characteristic
248	C₂²×C₄	C₂×D₁₂	1	1	yes	characteristic
249	C₂²×C₄	C₂²×Dic₃	1	1	yes	characteristic
250	M₁₆	—	4	4	no	—
251	M₁₆	—	4	4	no	—
252	M₁₆	—	12	4	no	—
253	M₁₆	—	12	4	no	—
254	M₁₆	—	12	2	no	—
255	M₁₆	—	12	2	no	—
256	C₂×C₈	—	2	4	no	—
257	C₂×C₈	—	4	4	no	—
258	C₂×C₈	—	6	4	no	—
259	C₂×C₈	—	6	4	no	—
260	C₂×C₈	—	12	4	no	—
261	C₄²	C₄×Dic₃	1	1	yes	characteristic
262	C₄²	C₄×Dic₃	1	1	yes	characteristic
263	C₄²	Dic₃⋊C₄	1	1	yes	characteristic
264	C₄²	Dic₃⋊C₄	1	1	yes	characteristic
265	C₄²	Dic₃⋊C₄	1	1	yes	characteristic
266	C₄²	Dic₃⋊C₄	1	1	yes	characteristic
267	C₄²	(C₂×D₃)⋊C₄	1	1	yes	characteristic
268	C₄²	(C₂×D₃)⋊C₄	1	1	yes	characteristic
269	C₄²	(C₂×D₃)⋊C₄	1	1	yes	characteristic
270	C₄²	(C₂×D₃)⋊C₄	1	1	yes	characteristic
271	C₄²	#217	1	1	yes	characteristic
272	C₄²	#217	1	1	yes	characteristic
273	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
274	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
275	C₄²	C₂×#67	1	1	yes	characteristic
276	C₄²	C₂×#67	1	1	yes	characteristic
277	C₂²×C₃	—	2	1	no	—
278	C₂²×C₃	—	2	1	no	—
279	C₂²×C₃	—	2	1	no	—
280	C₂²×C₃	—	2	1	no	—
281	C₂²×C₃	—	2	1	no	—
282	C₂²×C₃	—	2	1	no	—
283	C₂²×C₃	—	2	1	no	—
284	C₂²×C₃	—	4	4	no	—
285	C₂²×C₃	#343	1	2	yes	—
286	C₂²×C₃	C₂×#95	1	1	yes	characteristic
287	C₂²×C₃	#428	1	2	yes	—
288	C₃×C₄	—	2	1	no	—
289	C₃×C₄	—	2	1	no	—
290	C₃×C₄	—	2	1	no	—
291	C₃×C₄	—	2	1	no	—
292	C₃×C₄	—	2	1	no	—
293	C₃×C₄	—	2	1	no	—
294	C₃×C₄	—	2	1	no	—
295	C₃×C₄	#338	1	2	yes	—
296	C₃×C₄	#343	1	2	yes	—
297	C₃×C₄	C₂×#100	1	1	yes	characteristic
298	C₃×C₄	C₂×#101	1	1	yes	characteristic
299	C₃×C₄	#417	1	2	yes	—
300	C₃×C₄	#418	1	1	yes	characteristic
301	C₃×C₄	#419	1	1	yes	characteristic
302	C₂³	—	2	2	no	—
303	C₂³	—	2	2	no	—
304	C₂³	—	4	1	no	—
305	C₂³	C₃⋊#95	1	1	yes	characteristic
306	C₂³	C₃⋊#95	1	1	yes	characteristic
307	C₂³	C₂×C₄⋊Dic₃	1	1	yes	characteristic
308	C₂×C₄	—	2	2	no	—
309	C₂×C₄	—	2	2	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	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	4	1	no	—
326	C₂×C₄	—	4	1	no	—
327	C₂×C₄	—	4	1	no	—
328	C₂×C₄	C₃⋊#95	1	1	yes	characteristic
329	C₂×C₄	C₃⋊#95	1	1	yes	characteristic
330	C₂×C₄	C₃⋊#95	1	1	yes	characteristic
331	C₂×C₄	C₃⋊#95	1	1	yes	characteristic
332	C₂×C₄	C₃⋊#95	1	1	yes	characteristic
333	C₂×C₄	C₃⋊#95	1	1	yes	characteristic
334	C₂×C₄	#833	1	2	yes	—
335	C₂×C₄	#836	1	2	yes	—
336	C₂×C₄	#908	1	2	yes	—
337	C₂×C₄	#909	1	2	yes	—
338	C₂×C₄	C₂×C₄×Dic₃	1	1	yes	characteristic
339	C₂×C₄	C₂×Dic₃⋊C₄	1	1	yes	characteristic
340	C₂×C₄	C₂×Dic₃⋊C₄	1	1	yes	characteristic
341	C₂×C₄	C₂×(C₂×D₃)⋊C₄	1	1	yes	characteristic
342	C₂×C₄	C₂×(C₂×D₃)⋊C₄	1	1	yes	characteristic
343	C₂×C₄	C₂×#217	1	1	yes	characteristic
344	C₈	—	4	4	no	—
345	C₈	—	12	4	no	—
346	C₈	—	12	4	no	—
347	C₂×C₃	—	2	2	no	—
348	C₂×C₃	—	2	2	no	—
349	C₂×C₃	—	4	1	no	—
350	C₂×C₃	C₂×#338	1	1	yes	characteristic
351	C₂×C₃	#1736	1	1	yes	characteristic
352	C₂×C₃	C₂×#343	1	1	yes	characteristic
353	C₂²	—	2	1	no	—
354	C₂²	—	2	1	no	—
355	C₂²	—	2	1	no	—
356	C₂²	—	2	1	no	—
357	C₂²	—	2	1	no	—
358	C₂²	—	2	1	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	4	4	no	—
361	C₂²	#4530	1	2	yes	—
362	C₂²	#5121	1	2	yes	—
363	C₂²	C₂×C₃⋊#95	1	1	yes	characteristic
364	C₄	—	2	1	no	—
365	C₄	—	2	1	no	—
366	C₄	—	2	1	no	—
367	C₄	—	2	1	no	—
368	C₄	—	2	1	no	—
369	C₄	—	2	1	no	—
370	C₄	—	2	1	no	—
371	C₄	#4530	1	2	yes	—
372	C₄	C₃⋊#338	1	2	yes	—
373	C₄	#5120	1	1	yes	characteristic
374	C₄	#5131	1	1	yes	characteristic
375	C₄	#5133	1	2	yes	—
376	C₄	C₂×#833	1	1	yes	characteristic
377	C₄	C₂×#836	1	1	yes	characteristic
378	C₃	#8004	1	1	yes	characteristic, complemented, Sylow
379	C₂	—	2	2	no	—
380	C₂	—	2	2	no	—
381	C₂	—	4	1	no	—
382	C₂	C₂×#4530	1	1	yes	characteristic
383	C₂	#71985	1	1	yes	characteristic
384	C₂	C₂×C₃⋊#338	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×C₃⋊#95
commutator	C₂×C₃×C₄	C₂×C₄²
Frattini	C₂×C₄²	C₂²×D₃
Fitting	C₂×C₃×#423	C₂
socle	C₂²×C₃	C₂×#95
prime radical	C₂⁴×C₃	C₄⋊C₄
cosocle	C₂×C₃×C₄²	C₂³
hypercenter	C₂×#423	D₃
hypocenter	C₃	#8004
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄² ◁ C₂×#423

Complements

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

N	H ≅ G/N	type
4. #67705	C₂	semidirect
378. C₃	#8004	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×#423	2
#82049	2
C₂×#4924	2
#67705	2
#8004	3