Subgroups — C₃×#70498 #11774731

Order 1152.

615 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	C₃×#5477	C₂	1	1	yes	maximal, characteristic
2	C₃²×#423	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×C₄×C₃⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#4483	C₂	1	4	yes	maximal, complemented
5	C₃×#1492	—	3	1	no	maximal
6	#70498	C₃	1	1	yes	maximal, characteristic, direct product factor
7	C₂×C₃×#235	—	2	1	no	—
8	C₂×C₃²×M₁₆	—	2	1	no	—
9	C₂×C₃²×C₄²	C₂²	1	1	yes	characteristic
10	C₃×#930	—	2	1	no	—
11	C₃×#930	C₄	1	2	yes	—
12	C₂²×C₃×C₃⋊C₈	—	2	1	no	—
13	C₃×#875	—	2	1	no	—
14	C₃×#874	C₄	1	1	yes	characteristic
15	C₃×C₄×D₁₂	—	2	1	no	—
16	C₃×C₄×D₁₂	C₂²	1	2	yes	—
17	C₃×#869	C₄	1	1	yes	characteristic
18	C₃²×C₄⋊C₈	—	2	1	no	—
19	C₃²×C₄⋊C₈	C₂²	1	2	yes	—
20	C₃×C₄×C₃⋊C₈	—	2	1	no	—
21	C₃×C₄×C₃⋊C₈	C₂²	1	2	yes	—
22	C₃×#532	—	3	1	no	—
23	#5477	C₂×C₃	1	1	yes	characteristic
24	C₃×#423	—	2	1	no	—
25	C₃×#423	D₃	1	1	yes	characteristic, complemented
26	C₃×#423	C₂×C₃	1	1	yes	characteristic, complemented
27	C₂×C₃×C₄×C₈	—	3	1	no	—
28	C₂×C₄×C₃⋊C₈	C₂×C₃	1	1	yes	characteristic, complemented
29	C₃×D₄⋊C₈	—	3	4	no	—
30	#4483	C₂×C₃	1	4	yes	complemented
31	C₂²×C₃²×C₄	C₂×C₄	1	1	yes	characteristic
32	C₂²×C₃²×C₄	D₄	1	1	yes	characteristic
33	C₂²×C₃²×C₄	D₄	1	1	yes	characteristic
34	C₂×C₃×#67	—	2	2	no	—
35	C₃×#235	—	4	2	no	—
36	C₃×#235	—	4	2	no	—
37	C₂×C₃×D₁₂	—	2	1	no	—
38	C₂×C₃×D₁₂	—	2	1	no	—
39	C₂×C₃×D₁₂	C₂×C₄	1	2	yes	—
40	C₂×C₃×C₄×D₃	—	2	2	no	—
41	C₂×C₃×Dic₆	—	2	1	no	—
42	C₃²×M₁₆	—	4	2	no	—
43	C₂×C₃²×C₈	—	2	2	no	—
44	C₃²×C₄²	C₂×C₄	1	1	yes	characteristic
45	C₃²×C₄²	D₄	1	1	yes	characteristic
46	C₃²×C₄²	D₄	1	1	yes	characteristic
47	C₃²×C₄²	C₂³	1	1	yes	characteristic
48	C₃×(C₂×D₃)⋊C₄	—	2	2	no	—
49	C₃×(C₂×D₃)⋊C₄	—	2	2	no	—
50	C₃×C₄⋊Dic₃	—	2	1	no	—
51	C₃×C₄⋊Dic₃	C₂×C₄	1	2	yes	—
52	C₂×C₃×C₃⋊C₈	—	2	4	no	—
53	C₂×C₃×C₃⋊C₈	—	2	2	no	—
54	#1492	—	3	1	no	Sylow
55	C₂×C₃×#41	—	6	1	no	—
56	C₂×#235	—	2	1	no	—
57	C₂×C₃×M₁₆	—	2	2	no	—
58	C₂×C₃×M₁₆	—	2	1	no	—
59	C₂×C₃×M₁₆	—	2	1	no	—
60	C₂²×C₃×C₈	—	6	1	no	—
61	C₃×C₄⋊Q₈	—	3	1	no	—
62	C₃×#127	—	3	1	no	—
63	C₃×#124	—	6	1	no	—
64	C₃×#121	—	3	2	no	—
65	C₃×#121	—	6	1	no	—
66	C₃×C₄×D₄	—	3	2	no	—
67	C₃×C₄×D₄	—	6	1	no	—
68	C₂×C₃×C₄²	—	2	1	no	—
69	C₂×C₃×C₄²	C₂×D₃	1	1	yes	characteristic
70	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic
71	#930	—	2	1	no	—
72	#930	C₃×C₄	1	2	yes	—
73	C₂²×C₃⋊C₈	—	2	1	no	—
74	#875	—	2	1	no	—
75	#874	C₃×C₄	1	1	yes	characteristic
76	C₄×D₁₂	—	2	1	no	—
77	C₄×D₁₂	C₂²×C₃	1	2	yes	—
78	#869	C₃×C₄	1	1	yes	characteristic
79	C₃×C₄⋊C₈	—	2	2	no	—
80	C₃×C₄⋊C₈	—	2	1	no	—
81	C₃×C₄⋊C₈	—	2	1	no	—
82	C₃×C₄⋊C₈	—	2	2	no	—
83	C₃×C₄⋊C₈	C₂×D₃	1	2	yes	—
84	C₃×C₄⋊C₈	C₂²×C₃	1	2	yes	—
85	C₃×C₄×C₈	—	3	2	no	—
86	C₃×C₄×C₈	—	6	1	no	—
87	C₄×C₃⋊C₈	—	2	1	no	—
88	C₄×C₃⋊C₈	C₂²×C₃	1	2	yes	—
89	C₂³×C₃²	C₂²⋊C₄	1	1	yes	characteristic
90	C₂²×C₃×D₃	—	2	2	no	—
91	C₂×C₃²×C₄	—	2	2	no	—
92	C₂×C₃²×C₄	—	2	2	no	—
93	C₂×C₃²×C₄	C₂²⋊C₄	1	1	yes	characteristic
94	C₂×C₃²×C₄	C₂²⋊C₄	1	1	yes	characteristic
95	C₂×C₃²×C₄	C₂²⋊C₄	1	1	yes	characteristic
96	C₂×C₃²×C₄	D₈	1	2	yes	—
97	C₂×C₃²×C₄	SD₁₆	1	2	yes	—
98	C₂×C₃²×C₄	C₂²×C₄	1	1	yes	characteristic
99	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
100	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
101	C₃×#67	—	4	4	no	—
102	C₂×C₃×Dic₃	—	2	2	no	—
103	C₃×D₁₂	—	2	4	no	—
104	C₃×D₁₂	—	4	2	no	—
105	C₃×D₁₂	—	4	2	no	—
106	C₃×C₄×D₃	—	4	2	no	—
107	C₃×C₄×D₃	—	4	2	no	—
108	C₃×Dic₆	—	4	2	no	—
109	C₃²×C₈	—	4	2	no	—
110	C₃×C₃⋊C₈	—	2	4	no	—
111	#532	—	3	1	no	—
112	#423	C₃×D₃	1	1	yes	characteristic, complemented
113	C₂×C₄×C₈	—	3	1	no	—
114	D₄⋊C₈	—	3	4	no	—
115	C₃×#41	—	12	2	no	—
116	C₃×#41	—	12	2	no	—
117	C₂×C₃×Q₈	—	6	1	no	—
118	C₂×C₃×D₄	—	3	2	no	—
119	C₂×C₃×D₄	—	6	2	no	—
120	C₂×C₃×D₄	—	6	1	no	—
121	C₂×C₃×D₄	—	6	1	no	—
122	C₂²×C₃×C₄	—	2	1	no	—
123	C₂²×C₃×C₄	—	2	1	no	—
124	C₂²×C₃×C₄	—	2	1	no	—
125	C₂²×C₃×C₄	—	6	2	no	—
126	C₂²×C₃×C₄	C₄×D₃	1	1	yes	characteristic
127	C₂²×C₃×C₄	D₁₂	1	1	yes	characteristic
128	C₂²×C₃×C₄	#67	1	1	yes	characteristic
129	C₂²×C₃×C₄	C₂×C₃×C₄	1	1	yes	characteristic
130	C₂²×C₃×C₄	C₃×D₄	1	1	yes	characteristic
131	C₂²×C₃×C₄	C₃×D₄	1	1	yes	characteristic
132	C₂×#67	—	2	2	no	—
133	#235	—	4	2	no	—
134	#235	—	4	2	no	—
135	C₂×D₁₂	—	2	1	no	—
136	C₂×D₁₂	—	2	1	no	—
137	C₂×D₁₂	C₂×C₃×C₄	1	2	yes	—
138	C₂×C₄×D₃	—	2	2	no	—
139	C₂×Dic₆	—	2	1	no	—
140	C₃×M₁₆	—	4	4	no	—
141	C₃×M₁₆	—	4	2	no	—
142	C₃×M₁₆	—	4	2	no	—
143	C₂×C₃×C₈	—	2	4	no	—
144	C₂×C₃×C₈	—	2	2	no	—
145	C₂×C₃×C₈	—	2	2	no	—
146	C₂×C₃×C₈	—	6	4	no	—
147	C₂×C₃×C₈	—	6	2	no	—
148	C₃×C₄⋊C₄	—	3	2	no	—
149	C₃×C₄⋊C₄	—	6	1	no	—
150	C₃×C₂²⋊C₄	—	6	2	no	—
151	C₃×C₂²⋊C₄	—	6	2	no	—
152	C₃×C₄²	—	2	1	no	—
153	C₃×C₄²	—	2	1	no	—
154	C₃×C₄²	—	2	1	no	—
155	C₃×C₄²	—	2	1	no	—
156	C₃×C₄²	C₄×D₃	1	1	yes	characteristic
157	C₃×C₄²	D₁₂	1	1	yes	characteristic
158	C₃×C₄²	#67	1	1	yes	characteristic
159	C₃×C₄²	C₂×C₃×C₄	1	1	yes	characteristic
160	C₃×C₄²	C₃×D₄	1	1	yes	characteristic
161	C₃×C₄²	C₃×D₄	1	1	yes	characteristic
162	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
163	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
164	(C₂×D₃)⋊C₄	—	2	2	no	—
165	(C₂×D₃)⋊C₄	—	2	2	no	—
166	C₄⋊Dic₃	—	2	1	no	—
167	C₄⋊Dic₃	C₂×C₃×C₄	1	2	yes	—
168	C₂×C₃⋊C₈	—	2	4	no	—
169	C₂×C₃⋊C₈	—	2	2	no	—
170	C₂²×C₃²	—	2	1	no	—
171	C₂²×C₃²	—	2	1	no	—
172	C₂²×C₃²	#102	1	2	yes	—
173	C₂²×C₃²	C₂×C₂²⋊C₄	1	1	yes	characteristic
174	C₂×C₃×D₃	—	4	2	no	—
175	C₂×C₃×D₃	—	4	2	no	—
176	C₂×C₃×D₃	—	4	2	no	—
177	C₃²×C₄	—	2	1	no	—
178	C₃²×C₄	—	2	1	no	—
179	C₃²×C₄	#102	1	2	yes	—
180	C₃²×C₄	#104	1	2	yes	—
181	C₃²×C₄	#131	1	2	yes	—
182	C₃²×C₄	C₂×D₈	1	1	yes	characteristic
183	C₃²×C₄	C₂×SD₁₆	1	1	yes	characteristic
184	C₃×Dic₃	—	4	2	no	—
185	C₂×#41	—	6	1	no	—
186	C₂×M₁₆	—	2	1	no	—
187	C₂²×C₈	—	6	1	no	—
188	C₄⋊Q₈	—	3	1	no	—
189	#127	—	3	1	no	—
190	#124	—	6	1	no	—
191	#121	—	3	2	no	—
192	#121	—	6	1	no	—
193	C₄×D₄	—	3	2	no	—
194	C₄×D₄	—	6	1	no	—
195	C₂×C₄²	C₂×C₃×D₃	1	1	yes	characteristic
196	C₄⋊C₈	—	2	1	no	—
197	C₄⋊C₈	C₂×C₃×D₃	1	2	yes	—
198	C₄×C₈	—	3	2	no	—
199	C₄×C₈	—	6	1	no	—
200	C₂³×C₃	—	2	1	no	—
201	C₂³×C₃	—	6	2	no	—
202	C₂³×C₃	(C₂×D₃)⋊C₄	1	1	yes	characteristic
203	C₂³×C₃	C₃×C₂²⋊C₄	1	1	yes	characteristic
204	C₂²×D₃	—	2	2	no	—
205	C₃×Q₈	—	12	2	no	—
206	C₃×D₄	—	6	4	no	—
207	C₃×D₄	—	12	4	no	—
208	C₃×D₄	—	12	2	no	—
209	C₃×D₄	—	12	2	no	—
210	C₂×C₃×C₄	—	2	2	no	—
211	C₂×C₃×C₄	—	2	2	no	—
212	C₂×C₃×C₄	—	2	2	no	—
213	C₂×C₃×C₄	—	2	2	no	—
214	C₂×C₃×C₄	—	2	1	no	—
215	C₂×C₃×C₄	—	2	1	no	—
216	C₂×C₃×C₄	—	2	1	no	—
217	C₂×C₃×C₄	—	2	2	no	—
218	C₂×C₃×C₄	—	2	2	no	—
219	C₂×C₃×C₄	—	2	1	no	—
220	C₂×C₃×C₄	—	2	1	no	—
221	C₂×C₃×C₄	—	2	1	no	—
222	C₂×C₃×C₄	—	4	2	no	—
223	C₂×C₃×C₄	—	4	2	no	—
224	C₂×C₃×C₄	—	6	2	no	—
225	C₂×C₃×C₄	—	12	2	no	—
226	C₂×C₃×C₄	—	12	2	no	—
227	C₂×C₃×C₄	(C₂×D₃)⋊C₄	1	1	yes	characteristic
228	C₂×C₃×C₄	(C₂×D₃)⋊C₄	1	1	yes	characteristic
229	C₂×C₃×C₄	(C₂×D₃)⋊C₄	1	1	yes	characteristic
230	C₂×C₃×C₄	#213	1	2	yes	—
231	C₂×C₃×C₄	#215	1	2	yes	—
232	C₂×C₃×C₄	C₃×C₂²⋊C₄	1	1	yes	characteristic
233	C₂×C₃×C₄	C₃×C₂²⋊C₄	1	1	yes	characteristic
234	C₂×C₃×C₄	C₃×C₂²⋊C₄	1	1	yes	characteristic
235	C₂×C₃×C₄	C₃×D₈	1	2	yes	—
236	C₂×C₃×C₄	C₃×SD₁₆	1	2	yes	—
237	C₂×C₃×C₄	C₂×C₄×D₃	1	1	yes	characteristic
238	C₂×C₃×C₄	C₂×D₁₂	1	1	yes	characteristic
239	C₂×C₃×C₄	C₂×#67	1	1	yes	characteristic
240	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
241	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
242	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
243	#67	—	4	4	no	—
244	C₂×Dic₃	—	2	2	no	—
245	D₁₂	—	2	4	no	—
246	D₁₂	—	4	2	no	—
247	D₁₂	—	4	2	no	—
248	C₄×D₃	—	4	2	no	—
249	C₄×D₃	—	4	2	no	—
250	Dic₆	—	4	2	no	—
251	C₃×C₈	—	4	4	no	—
252	C₃×C₈	—	4	2	no	—
253	C₃×C₈	—	4	2	no	—
254	C₃×C₈	—	6	4	no	—
255	C₃⋊C₈	—	2	4	no	—
256	C₂×C₃²	—	2	2	no	—
257	C₂×C₃²	#408	1	1	yes	characteristic
258	C₂×C₃²	C₂×#102	1	1	yes	characteristic
259	C₂×C₃²	C₂×#104	1	1	yes	characteristic
260	C₃×D₃	—	8	2	no	—
261	#41	—	12	2	no	—
262	#41	—	12	2	no	—
263	C₂×Q₈	—	6	1	no	—
264	C₂×D₄	—	3	2	no	—
265	C₂×D₄	—	6	2	no	—
266	C₂×D₄	—	6	1	no	—
267	C₂×D₄	—	6	1	no	—
268	C₂²×C₄	—	6	2	no	—
269	C₂²×C₄	C₃×C₄×D₃	1	1	yes	characteristic
270	C₂²×C₄	C₃×D₁₂	1	1	yes	characteristic
271	C₂²×C₄	C₃×#67	1	1	yes	characteristic
272	M₁₆	—	4	2	no	—
273	C₂×C₈	—	2	2	no	—
274	C₂×C₈	—	6	4	no	—
275	C₂×C₈	—	6	2	no	—
276	C₄⋊C₄	—	3	2	no	—
277	C₄⋊C₄	—	6	1	no	—
278	C₂²⋊C₄	—	6	2	no	—
279	C₂²⋊C₄	—	6	2	no	—
280	C₄²	C₃×C₄×D₃	1	1	yes	characteristic
281	C₄²	C₃×D₁₂	1	1	yes	characteristic
282	C₄²	C₃×#67	1	1	yes	characteristic
283	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
284	C₂²×C₃	—	2	1	no	—
285	C₂²×C₃	—	2	1	no	—
286	C₂²×C₃	—	2	1	no	—
287	C₂²×C₃	—	2	1	no	—
288	C₂²×C₃	—	2	1	no	—
289	C₂²×C₃	—	2	2	no	—
290	C₂²×C₃	—	4	1	no	—
291	C₂²×C₃	—	4	1	no	—
292	C₂²×C₃	—	12	2	no	—
293	C₂²×C₃	—	12	2	no	—
294	C₂²×C₃	—	12	2	no	—
295	C₂²×C₃	#809	1	2	yes	—
296	C₂²×C₃	C₃×#102	1	2	yes	—
297	C₂²×C₃	C₂×(C₂×D₃)⋊C₄	1	1	yes	characteristic
298	C₂²×C₃	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
299	C₂×D₃	—	4	2	no	—
300	C₂×D₃	—	4	2	no	—
301	C₂×D₃	—	4	2	no	—
302	C₃×C₄	—	2	1	no	—
303	C₃×C₄	—	2	1	no	—
304	C₃×C₄	—	2	1	no	—
305	C₃×C₄	—	2	1	no	—
306	C₃×C₄	—	2	2	no	—
307	C₃×C₄	—	2	1	no	—
308	C₃×C₄	—	2	1	no	—
309	C₃×C₄	—	2	2	no	—
310	C₃×C₄	—	2	2	no	—
311	C₃×C₄	—	4	1	no	—
312	C₃×C₄	—	4	1	no	—
313	C₃×C₄	—	12	2	no	—
314	C₃×C₄	#809	1	2	yes	—
315	C₃×C₄	#825	1	2	yes	—
316	C₃×C₄	C₃×#102	1	2	yes	—
317	C₃×C₄	C₃×#104	1	2	yes	—
318	C₃×C₄	#907	1	2	yes	—
319	C₃×C₄	C₂×#213	1	1	yes	characteristic
320	C₃×C₄	C₂×#215	1	1	yes	characteristic
321	C₃×C₄	C₃×#131	1	2	yes	—
322	C₃×C₄	C₂×C₃×D₈	1	1	yes	characteristic
323	C₃×C₄	C₂×C₃×SD₁₆	1	1	yes	characteristic
324	Dic₃	—	4	2	no	—
325	C₃²	#1492	1	1	yes	characteristic, complemented, Sylow
326	C₂³	—	6	2	no	—
327	C₂³	C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
328	Q₈	—	12	2	no	—
329	D₄	—	6	4	no	—
330	D₄	—	12	4	no	—
331	D₄	—	12	2	no	—
332	D₄	—	12	2	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	2	2	no	—
335	C₂×C₄	—	6	2	no	—
336	C₂×C₄	—	12	2	no	—
337	C₂×C₄	—	12	2	no	—
338	C₂×C₄	C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
339	C₂×C₄	C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
340	C₂×C₄	C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
341	C₂×C₄	C₃×#213	1	2	yes	—
342	C₂×C₄	C₃×#215	1	2	yes	—
343	C₂×C₄	C₂×C₃×C₄×D₃	1	1	yes	characteristic
344	C₂×C₄	C₂×C₃×D₁₂	1	1	yes	characteristic
345	C₂×C₄	C₂×C₃×#67	1	1	yes	characteristic
346	C₈	—	4	2	no	—
347	C₈	—	6	4	no	—
348	C₂×C₃	—	2	2	no	—
349	C₂×C₃	—	2	2	no	—
350	C₂×C₃	—	2	1	no	—
351	C₂×C₃	—	2	1	no	—
352	C₂×C₃	—	2	1	no	—
353	C₂×C₃	—	4	2	no	—
354	C₂×C₃	—	24	2	no	—
355	C₂×C₃	C₂×#809	1	1	yes	characteristic
356	C₂×C₃	#5129	1	1	yes	characteristic
357	C₂×C₃	C₂×#825	1	1	yes	characteristic
358	C₂×C₃	C₃×#408	1	1	yes	characteristic
359	C₂×C₃	C₂×C₃×#102	1	1	yes	characteristic
360	C₂×C₃	C₂×C₃×#104	1	1	yes	characteristic
361	D₃	—	8	2	no	—
362	C₂²	—	2	1	no	—
363	C₂²	—	2	1	no	—
364	C₂²	—	12	2	no	—
365	C₂²	—	12	2	no	—
366	C₂²	—	12	2	no	—
367	C₂²	C₃×#809	1	2	yes	—
368	C₂²	C₂×C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
369	C₄	—	2	1	no	—
370	C₄	—	2	1	no	—
371	C₄	—	12	2	no	—
372	C₄	C₃×#809	1	2	yes	—
373	C₄	C₃×#825	1	2	yes	—
374	C₄	C₃×#907	1	2	yes	—
375	C₄	C₂×C₃×#213	1	1	yes	characteristic
376	C₄	C₂×C₃×#215	1	1	yes	characteristic
377	C₃	—	2	1	no	—
378	C₃	#70498	1	1	yes	characteristic, direct product factor
379	C₃	C₃×#1492	1	1	yes	characteristic, complemented
380	C₂	—	2	2	no	—
381	C₂	—	24	2	no	—
382	C₂	C₂×C₃×#809	1	1	yes	characteristic
383	C₂	C₃×#5129	1	1	yes	characteristic
384	C₂	C₂×C₃×#825	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₃×C₄	C₂×#67
commutator	C₂×C₃×C₄	C₂²×C₃×C₄
Frattini	C₄²	C₂²×C₃×D₃
Fitting	C₃²×#423	C₂
socle	C₂²×C₃²	C₂×C₂²⋊C₄
prime radical	C₃×#5477	C₂
cosocle	C₃×C₄²	C₂³×C₃
hypercenter	C₃×#423	D₃
hypocenter	C₃	C₃×#1492
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₂×C₃×C₄² ◁ C₃×#423

Complements

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

N	H ≅ G/N	type
2. C₃²×#423	C₂	semidirect
3. C₂×C₃×C₄×C₃⋊C₈	C₂	semidirect
4. C₃×#4483	C₂	semidirect
6. #70498	C₃	direct (N × H)
25. C₃×#423	D₃	semidirect
26. C₃×#423	C₂×C₃	semidirect
28. C₂×C₄×C₃⋊C₈	C₂×C₃	semidirect
30. #4483	C₂×C₃	semidirect
112. #423	C₃×D₃	semidirect
325. C₃²	#1492	semidirect
378. C₃	#70498	direct (N × H)
379. C₃	C₃×#1492	semidirect

Maximal subgroups

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

subgroup	index
C₃×#5477	2
C₃²×#423	2
C₂×C₃×C₄×C₃⋊C₈	2
C₃×#4483	2
C₃×#1492	3
#70498	3

Subgroups — C3×#70498 #11774731

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#70498 #11774731