Subgroups — #11790346

Order 1152.

581 conjugacy classes of subgroups.

The subgroup lattice has 383 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄⋊(C₃⋊(C₃⋊C₈))	C₂	1	1	yes	maximal, characteristic
2	C₃×#4935	C₂	1	1	yes	maximal, characteristic
3	C₃×C₄×C₄⋊Dic₃	C₂	1	1	yes	maximal, characteristic
4	C₂×#63574	C₂	1	2	yes	maximal
5	#10589163	C₂	1	2	yes	maximal
6	#69568	—	3	1	no	maximal
7	#69467	—	3	1	no	maximal
8	C₂×C₃²×C₄²	C₂²	1	1	yes	characteristic
9	C₂²×C₃⋊(C₃⋊C₈)	C₂²	1	2	yes	—
10	C₂×C₃×C₄⋊Dic₃	—	2	1	no	—
11	C₂×C₃×C₄⋊Dic₃	—	2	1	no	—
12	C₂×C₃×C₄⋊Dic₃	C₂²	1	2	yes	—
13	C₂×C₃×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
14	C₂×C₃×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
15	C₂×C₃×C₄×Dic₃	—	2	1	no	—
16	C₄⋊(C₃⋊(C₃⋊C₈))	C₄	1	4	yes	complemented
17	C₃×C₃⋊#95	—	2	1	no	—
18	#63574	—	2	4	no	—
19	C₃×#384	—	3	1	no	—
20	C₃×C₄×C₄⋊C₄	—	3	1	no	—
21	C₂×#808	—	3	2	no	—
22	C₂×#808	—	3	2	no	—
23	#4935	D₃	1	1	yes	characteristic
24	C₄×C₄⋊Dic₃	D₃	1	1	yes	characteristic
25	C₂×C₄⋊(C₃⋊C₈)	—	3	1	no	—
26	C₂×C₄⋊(C₃⋊C₈)	—	3	1	no	—
27	C₂×C₄⋊(C₃⋊C₈)	—	6	1	no	—
28	#4529	—	3	2	no	—
29	#4529	—	3	2	no	—
30	C₂²×C₃²×C₄	D₄	1	1	yes	characteristic
31	C₂²×C₃²×C₄	D₄	1	1	yes	characteristic
32	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
33	C₂²×C₃×Dic₃	—	2	1	no	—
34	C₂²×C₃×Dic₃	—	2	1	no	—
35	C₂²×C₃×Dic₃	—	2	2	no	—
36	C₃²×C₄²	C₂×C₄	1	2	yes	—
37	C₃²×C₄²	Q₈	1	2	yes	—
38	C₂×C₃⋊(C₃⋊C₈)	—	2	2	no	—
39	C₂×C₃⋊(C₃⋊C₈)	—	2	2	no	—
40	C₂×C₃⋊(C₃⋊C₈)	C₂×C₄	1	4	yes	—
41	C₃×C₄⋊Dic₃	—	2	1	no	—
42	C₃×C₄⋊Dic₃	—	2	1	no	—
43	C₃×C₄⋊Dic₃	—	2	2	no	—
44	C₃×C₄⋊Dic₃	—	2	2	no	—
45	C₃×C₄⋊Dic₃	—	4	2	no	—
46	C₃×C₄⋊Dic₃	—	4	2	no	—
47	C₃×C₄⋊Dic₃	D₄	1	2	yes	—
48	C₃×C₄⋊Dic₃	Q₈	1	2	yes	—
49	C₃×C₄×Dic₃	—	4	2	no	—
50	#1948	—	9	1	no	Sylow
51	C₂×C₃×C₄⋊C₄	—	3	1	no	—
52	C₂×C₃×C₄⋊C₄	—	3	1	no	—
53	C₂×C₃×C₄⋊C₄	—	3	2	no	—
54	C₂×C₃×C₄⋊C₄	—	6	1	no	—
55	C₂×C₃×C₄⋊C₄	—	6	1	no	—
56	C₂×C₃×C₄²	—	2	1	no	—
57	C₂×C₃×C₄²	—	6	1	no	—
58	C₂×C₃×C₄²	C₂×D₃	1	1	yes	characteristic
59	C₂×C₃×C₄²	C₂×D₃	1	1	yes	characteristic
60	C₂×C₄⋊Dic₃	—	2	1	no	—
61	C₂×C₄⋊Dic₃	—	2	1	no	—
62	C₂×C₄⋊Dic₃	C₂×D₃	1	2	yes	—
63	C₂×C₄⋊Dic₃	C₂×D₃	1	1	yes	characteristic
64	C₂×C₄⋊Dic₃	C₂×D₃	1	1	yes	characteristic
65	C₂×C₄×Dic₃	—	2	1	no	—
66	C₂²×C₃⋊C₈	—	3	2	no	—
67	C₂²×C₃⋊C₈	—	3	2	no	—
68	C₂²×C₃⋊C₈	—	6	2	no	—
69	C₃×#95	—	6	1	no	—
70	C₃⋊#95	—	2	1	no	—
71	#808	—	6	4	no	—
72	#808	—	6	4	no	—
73	C₄⋊(C₃⋊C₈)	—	3	4	no	—
74	C₄⋊(C₃⋊C₈)	—	3	4	no	—
75	C₄⋊(C₃⋊C₈)	—	6	4	no	—
76	C₂³×C₃²	C₂×D₄	1	1	yes	characteristic
77	C₂×C₃²×C₄	—	2	1	no	—
78	C₂×C₃²×C₄	—	2	1	no	—
79	C₂×C₃²×C₄	C₄⋊C₄	1	2	yes	—
80	C₂×C₃²×C₄	C₄⋊C₄	1	2	yes	—
81	C₂×C₃²×C₄	SD₁₆	1	2	yes	—
82	C₂×C₃²×C₄	SD₁₆	1	2	yes	—
83	C₂×C₃²×C₄	C₂²×C₄	1	1	yes	characteristic
84	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
85	C₂×C₃²×C₄	C₂×Q₈	1	1	yes	characteristic
86	C₂×C₃²×C₄	C₂×Q₈	1	1	yes	characteristic
87	C₂×C₃²×C₄	#41	1	1	yes	characteristic
88	C₂×C₃²×C₄	#41	1	1	yes	characteristic
89	C₂×C₃×Dic₃	—	2	2	no	—
90	C₂×C₃×Dic₃	—	2	2	no	—
91	C₂×C₃×Dic₃	—	4	1	no	—
92	C₂×C₃×Dic₃	—	4	1	no	—
93	C₂×C₃×Dic₃	—	4	1	no	—
94	C₂×C₃×Dic₃	—	4	1	no	—
95	C₂×C₃×Dic₃	—	4	2	no	—
96	C₂×C₃×Dic₃	—	4	2	no	—
97	C₂×C₃×Dic₃	—	4	2	no	—
98	C₃⋊(C₃⋊C₈)	—	2	4	no	—
99	C₂×#106	—	9	2	no	—
100	C₂×C₄⋊C₈	—	9	1	no	—
101	#384	—	3	1	no	—
102	C₄×C₄⋊C₄	—	3	1	no	—
103	#340	—	9	2	no	—
104	C₂²×C₃×C₄	—	2	1	no	—
105	C₂²×C₃×C₄	—	2	1	no	—
106	C₂²×C₃×C₄	—	2	1	no	—
107	C₂²×C₃×C₄	—	6	1	no	—
108	C₂²×C₃×C₄	—	6	1	no	—
109	C₂²×C₃×C₄	—	6	2	no	—
110	C₂²×C₃×C₄	#67	1	1	yes	characteristic
111	C₂²×C₃×C₄	#67	1	1	yes	characteristic
112	C₂²×C₃×C₄	#67	1	1	yes	characteristic
113	C₂²×C₃×C₄	#67	1	1	yes	characteristic
114	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
115	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
116	C₂²×Dic₃	—	2	1	no	—
117	C₂²×Dic₃	—	2	1	no	—
118	C₂²×Dic₃	—	2	2	no	—
119	C₃×C₄⋊C₄	—	3	2	no	—
120	C₃×C₄⋊C₄	—	3	2	no	—
121	C₃×C₄⋊C₄	—	6	1	no	—
122	C₃×C₄⋊C₄	—	6	1	no	—
123	C₃×C₄⋊C₄	—	6	2	no	—
124	C₃×C₄⋊C₄	—	6	2	no	—
125	C₃×C₄⋊C₄	—	12	2	no	—
126	C₃×C₄⋊C₄	—	12	2	no	—
127	C₃×C₄²	—	2	2	no	—
128	C₃×C₄²	—	2	2	no	—
129	C₃×C₄²	—	12	2	no	—
130	C₃×C₄²	Dic₆	1	2	yes	—
131	C₃×C₄²	Dic₆	1	2	yes	—
132	C₃×C₄²	C₄×D₃	1	2	yes	—
133	C₃×C₄²	C₄×D₃	1	2	yes	—
134	C₄⋊Dic₃	—	2	1	no	—
135	C₄⋊Dic₃	—	2	1	no	—
136	C₄⋊Dic₃	—	2	2	no	—
137	C₄⋊Dic₃	—	2	2	no	—
138	C₄⋊Dic₃	—	4	2	no	—
139	C₄⋊Dic₃	—	4	2	no	—
140	C₄⋊Dic₃	Dic₆	1	2	yes	—
141	C₄⋊Dic₃	D₁₂	1	2	yes	—
142	C₄×Dic₃	—	4	2	no	—
143	C₂×C₃⋊C₈	—	3	4	no	—
144	C₂×C₃⋊C₈	—	3	4	no	—
145	C₂×C₃⋊C₈	—	6	4	no	—
146	C₂×C₃⋊C₈	—	6	2	no	—
147	C₂×C₃⋊C₈	—	6	2	no	—
148	C₂×C₃⋊C₈	—	6	2	no	—
149	C₂×C₃⋊C₈	—	6	2	no	—
150	C₂×C₃⋊C₈	—	12	2	no	—
151	C₂×C₃⋊C₈	—	12	2	no	—
152	C₂²×C₃²	C₂×C₄⋊C₄	1	1	yes	characteristic
153	C₂²×C₃²	#121	1	1	yes	characteristic
154	C₂²×C₃²	C₂²⋊Q₈	1	1	yes	characteristic
155	C₂²×C₃²	C₂×SD₁₆	1	1	yes	characteristic
156	C₂²×C₃²	C₂×SD₁₆	1	1	yes	characteristic
157	C₂²×C₃²	AGL(1,ℤ/8)	1	1	yes	characteristic
158	C₂²×C₃²	#137	1	1	yes	characteristic
159	C₃²×C₄	—	2	2	no	—
160	C₃²×C₄	#106	1	4	yes	complemented
161	C₃²×C₄	C₄×D₄	1	1	yes	characteristic
162	C₃²×C₄	C₄×Q₈	1	1	yes	characteristic
163	C₃²×C₄	#125	1	1	yes	characteristic
164	C₃²×C₄	C₄⋊Q₈	1	1	yes	characteristic
165	C₃×Dic₃	—	4	2	no	—
166	C₃×Dic₃	—	4	2	no	—
167	C₃×Dic₃	—	8	2	no	—
168	C₂²×C₈	—	9	2	no	—
169	C₂×C₄⋊C₄	—	3	1	no	—
170	C₂×C₄⋊C₄	—	3	1	no	—
171	C₂×C₄⋊C₄	—	3	2	no	—
172	C₂×C₄⋊C₄	—	6	1	no	—
173	C₂×C₄⋊C₄	—	6	1	no	—
174	C₂×C₄²	—	6	1	no	—
175	C₂×C₄²	D₃²	1	1	yes	characteristic
176	#106	—	18	4	no	—
177	C₄⋊C₈	—	9	4	no	—
178	#95	—	6	1	no	—
179	C₂³×C₃	—	2	1	no	—
180	C₂³×C₃	C₂×#67	1	1	yes	characteristic
181	C₂³×C₃	C₂×#67	1	1	yes	characteristic
182	C₂×C₃×C₄	—	2	1	no	—
183	C₂×C₃×C₄	—	2	1	no	—
184	C₂×C₃×C₄	—	2	1	no	—
185	C₂×C₃×C₄	—	2	1	no	—
186	C₂×C₃×C₄	—	2	2	no	—
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	1	no	—
191	C₂×C₃×C₄	—	2	1	no	—
192	C₂×C₃×C₄	—	2	1	no	—
193	C₂×C₃×C₄	—	2	1	no	—
194	C₂×C₃×C₄	—	2	1	no	—
195	C₂×C₃×C₄	—	2	1	no	—
196	C₂×C₃×C₄	—	4	1	no	—
197	C₂×C₃×C₄	—	4	1	no	—
198	C₂×C₃×C₄	—	6	2	no	—
199	C₂×C₃×C₄	—	6	2	no	—
200	C₂×C₃×C₄	—	12	1	no	—
201	C₂×C₃×C₄	—	12	1	no	—
202	C₂×C₃×C₄	—	12	1	no	—
203	C₂×C₃×C₄	—	12	1	no	—
204	C₂×C₃×C₄	—	12	2	no	—
205	C₂×C₃×C₄	—	12	2	no	—
206	C₂×C₃×C₄	—	12	2	no	—
207	C₂×C₃×C₄	Dic₃⋊C₄	1	2	yes	—
208	C₂×C₃×C₄	Dic₃⋊C₄	1	2	yes	—
209	C₂×C₃×C₄	Dic₃⋊C₄	1	2	yes	—
210	C₂×C₃×C₄	Dic₃⋊C₄	1	2	yes	—
211	C₂×C₃×C₄	#214	1	2	yes	—
212	C₂×C₃×C₄	#214	1	2	yes	—
213	C₂×C₃×C₄	#215	1	2	yes	—
214	C₂×C₃×C₄	#215	1	2	yes	—
215	C₂×C₃×C₄	C₂×Dic₆	1	1	yes	characteristic
216	C₂×C₃×C₄	C₂×Dic₆	1	1	yes	characteristic
217	C₂×C₃×C₄	C₂×Dic₆	1	1	yes	characteristic
218	C₂×C₃×C₄	C₂×C₄×D₃	1	1	yes	characteristic
219	C₂×C₃×C₄	C₂×C₄×D₃	1	1	yes	characteristic
220	C₂×C₃×C₄	C₂×D₁₂	1	1	yes	characteristic
221	C₂×C₃×C₄	#235	1	1	yes	characteristic
222	C₂×C₃×C₄	#235	1	1	yes	characteristic
223	C₂×C₃×C₄	D₃×D₄	1	1	yes	characteristic
224	C₂×C₃×C₄	#237	1	1	yes	characteristic
225	C₂×C₃×C₄	D₃×Q₈	1	1	yes	characteristic
226	C₂×C₃×C₄	#239	1	1	yes	characteristic
227	C₂×Dic₃	—	2	2	no	—
228	C₂×Dic₃	—	2	2	no	—
229	C₂×Dic₃	—	4	1	no	—
230	C₂×Dic₃	—	4	1	no	—
231	C₂×Dic₃	—	4	1	no	—
232	C₂×Dic₃	—	4	1	no	—
233	C₂×Dic₃	—	4	2	no	—
234	C₂×Dic₃	—	4	2	no	—
235	C₂×Dic₃	—	4	2	no	—
236	C₃⋊C₈	—	6	4	no	—
237	C₃⋊C₈	—	6	4	no	—
238	C₃⋊C₈	—	12	4	no	—
239	C₂×C₃²	#389	1	1	yes	characteristic
240	C₂×C₃²	C₂×#106	1	1	yes	characteristic
241	C₂×C₃²	#428	1	1	yes	characteristic
242	C₂×C₃²	#460	1	1	yes	characteristic
243	C₂×C₃²	#461	1	1	yes	characteristic
244	C₂×C₃²	#475	1	1	yes	characteristic
245	C₂×C₃²	#476	1	1	yes	characteristic
246	C₂²×C₄	—	6	1	no	—
247	C₂²×C₄	—	6	1	no	—
248	C₂²×C₄	—	6	2	no	—
249	C₂²×C₄	#625	1	1	yes	characteristic
250	C₂²×C₄	#625	1	1	yes	characteristic
251	C₂²×C₄	C₂×D₃²	1	1	yes	characteristic
252	C₂×C₈	—	9	4	no	—
253	C₂×C₈	—	18	2	no	—
254	C₂×C₈	—	18	2	no	—
255	C₄⋊C₄	—	3	2	no	—
256	C₄⋊C₄	—	3	2	no	—
257	C₄⋊C₄	—	6	1	no	—
258	C₄⋊C₄	—	6	1	no	—
259	C₄⋊C₄	—	6	2	no	—
260	C₄⋊C₄	—	6	2	no	—
261	C₄⋊C₄	—	12	2	no	—
262	C₄⋊C₄	—	12	2	no	—
263	C₄²	—	12	2	no	—
264	C₄²	#624	1	2	yes	—
265	C₄²	#627	1	2	yes	—
266	C₂²×C₃	—	2	1	no	—
267	C₂²×C₃	—	2	1	no	—
268	C₂²×C₃	—	2	1	no	—
269	C₂²×C₃	—	2	1	no	—
270	C₂²×C₃	—	2	1	no	—
271	C₂²×C₃	—	2	1	no	—
272	C₂²×C₃	—	2	1	no	—
273	C₂²×C₃	C₂×Dic₃⋊C₄	1	1	yes	characteristic
274	C₂²×C₃	C₂×Dic₃⋊C₄	1	1	yes	characteristic
275	C₂²×C₃	#924	1	1	yes	characteristic
276	C₂²×C₃	#930	1	1	yes	characteristic
277	C₂²×C₃	#932	1	1	yes	characteristic
278	C₂²×C₃	C₂×#214	1	1	yes	characteristic
279	C₂²×C₃	C₂×#214	1	1	yes	characteristic
280	C₂²×C₃	#938	1	1	yes	characteristic
281	C₂²×C₃	C₂×#215	1	1	yes	characteristic
282	C₂²×C₃	C₂×#215	1	1	yes	characteristic
283	C₂²×C₃	#942	1	1	yes	characteristic
284	C₂²×C₃	#946	1	1	yes	characteristic
285	C₂²×C₃	#949	1	1	yes	characteristic
286	C₂²×C₃	#951	1	1	yes	characteristic
287	C₃×C₄	—	2	2	no	—
288	C₃×C₄	—	2	2	no	—
289	C₃×C₄	—	2	4	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	—	4	2	no	—
295	C₃×C₄	—	12	2	no	—
296	C₃×C₄	—	12	2	no	—
297	C₃×C₄	—	24	2	no	—
298	C₃×C₄	#808	1	4	yes	complemented
299	C₃×C₄	#808	1	4	yes	complemented
300	C₃×C₄	C₄×Dic₆	1	1	yes	characteristic
301	C₃×C₄	#869	1	1	yes	characteristic
302	C₃×C₄	#870	1	1	yes	characteristic
303	C₃×C₄	C₄×D₁₂	1	1	yes	characteristic
304	C₃×C₄	#887	1	1	yes	characteristic
305	C₃×C₄	#888	1	1	yes	characteristic
306	C₃×C₄	#890	1	1	yes	characteristic
307	C₃×C₄	#893	1	1	yes	characteristic
308	Dic₃	—	4	2	no	—
309	Dic₃	—	4	2	no	—
310	Dic₃	—	8	2	no	—
311	C₃²	#1948	1	1	yes	characteristic, complemented, Sylow
312	C₂³	C₂×#625	1	1	yes	characteristic
313	C₂×C₄	—	2	1	no	—
314	C₂×C₄	—	2	1	no	—
315	C₂×C₄	—	6	2	no	—
316	C₂×C₄	—	6	2	no	—
317	C₂×C₄	—	12	1	no	—
318	C₂×C₄	—	12	1	no	—
319	C₂×C₄	—	12	1	no	—
320	C₂×C₄	—	12	1	no	—
321	C₂×C₄	—	12	2	no	—
322	C₂×C₄	—	12	2	no	—
323	C₂×C₄	—	12	2	no	—
324	C₂×C₄	#3715	1	2	yes	—
325	C₂×C₄	#3715	1	2	yes	—
326	C₂×C₄	#3724	1	2	yes	—
327	C₂×C₄	#3724	1	2	yes	—
328	C₂×C₄	D₃×Dic₆	1	1	yes	characteristic
329	C₂×C₄	#3795	1	1	yes	characteristic
330	C₂×C₄	#3799	1	1	yes	characteristic
331	C₂×C₄	D₃×D₁₂	1	1	yes	characteristic
332	C₂×C₄	C₂×#624	1	1	yes	characteristic
333	C₂×C₄	C₂×#627	1	1	yes	characteristic
334	C₈	—	18	4	no	—
335	C₂×C₃	—	2	1	no	—
336	C₂×C₃	—	2	1	no	—
337	C₂×C₃	—	2	1	no	—
338	C₂×C₃	—	2	1	no	—
339	C₂×C₃	—	2	1	no	—
340	C₂×C₃	—	2	1	no	—
341	C₂×C₃	—	2	1	no	—
342	C₂×C₃	#4928	1	1	yes	characteristic
343	C₂×C₃	C₂×#808	1	1	yes	characteristic
344	C₂×C₃	C₂×#808	1	1	yes	characteristic
345	C₂×C₃	#4964	1	1	yes	characteristic
346	C₂×C₃	#4972	1	1	yes	characteristic
347	C₂×C₃	#4995	1	1	yes	characteristic
348	C₂×C₃	#5008	1	1	yes	characteristic
349	C₂×C₃	#5019	1	1	yes	characteristic
350	C₂×C₃	#5020	1	1	yes	characteristic
351	C₂×C₃	#5027	1	1	yes	characteristic
352	C₂×C₃	#5075	1	1	yes	characteristic
353	C₂×C₃	#5083	1	1	yes	characteristic
354	C₂×C₃	#5084	1	1	yes	characteristic
355	C₂×C₃	#5094	1	1	yes	characteristic
356	C₂²	#63823	1	1	yes	characteristic
357	C₂²	C₂×#3715	1	1	yes	characteristic
358	C₂²	C₂×#3715	1	1	yes	characteristic
359	C₂²	#63827	1	1	yes	characteristic
360	C₂²	#63856	1	1	yes	characteristic
361	C₂²	#63908	1	1	yes	characteristic
362	C₂²	C₂×#3724	1	1	yes	characteristic
363	C₄	—	2	2	no	—
364	C₄	—	12	2	no	—
365	C₄	—	12	2	no	—
366	C₄	—	24	2	no	—
367	C₄	#63574	1	4	yes	complemented
368	C₄	#63844	1	1	yes	characteristic
369	C₄	#63869	1	1	yes	characteristic
370	C₄	#63894	1	1	yes	characteristic
371	C₄	#63918	1	1	yes	characteristic
372	C₃	—	2	1	no	—
373	C₃	#69467	1	1	yes	characteristic, complemented
374	C₃	#69568	1	1	yes	characteristic, complemented
375	C₂	#10590266	1	1	yes	characteristic
376	C₂	#10590285	1	1	yes	characteristic
377	C₂	#10590363	1	1	yes	characteristic
378	C₂	#10590364	1	1	yes	characteristic
379	C₂	C₂×#63574	1	1	yes	characteristic
380	C₂	#10591139	1	1	yes	characteristic
381	C₂	#10591212	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂×#625
commutator	C₂×C₃²×C₄	C₂²×C₄
Frattini	C₂²×C₄	C₂×D₃²
Fitting	C₂×C₃²×C₄²	C₂²
socle, prime radical	C₂³×C₃²	C₂×D₄
cosocle	C₂²×C₃²×C₄	C₂³
hypercenter	C₂×C₄²	D₃²
hypocenter	C₃²	#1948
LCS	G ▷ C₂×C₃²×C₄ ▷ C₂×C₃² ▷ C₃²
UCS	C₁ ◁ C₂³ ◁ C₂×C₄²

Complements

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

N	H ≅ G/N	type
16. C₄⋊(C₃⋊(C₃⋊C₈))	C₄	semidirect
160. C₃²×C₄	#106	semidirect
298. C₃×C₄	#808	semidirect
299. C₃×C₄	#808	semidirect
311. C₃²	#1948	semidirect
367. C₄	#63574	semidirect
373. C₃	#69467	semidirect
374. C₃	#69568	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄⋊(C₃⋊(C₃⋊C₈))	2
C₃×#4935	2
C₃×C₄×C₄⋊Dic₃	2
C₂×#63574	2
#10589163	2
#69568	3
#69467	3