Subgroups — C₃×#86235 #11901175

Order 1152.

3267 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×D₃×#41	C₂	1	2	yes	maximal, complemented
2	C₃²×#532	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5832	C₂	1	2	yes	maximal, complemented
4	C₃×#5724	C₂	1	2	yes	maximal, complemented
5	C₃×#5715	C₂	1	2	yes	maximal, complemented
6	C₃×#5675	C₂	1	2	yes	maximal, complemented
7	C₃×#5674	C₂	1	2	yes	maximal, complemented
8	C₃×#5605	C₂	1	4	yes	maximal, complemented
9	C₃×#5597	C₂	1	4	yes	maximal, complemented
10	C₃×#5547	C₂	1	8	yes	maximal, complemented
11	C₃×#5477	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₃×#872	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3449	—	3	1	no	maximal
14	#86235	C₃	1	1	yes	maximal, characteristic, direct product factor
15	C₂×C₃²×#41	C₂²	1	2	yes	complemented
16	C₃×D₃×#41	—	2	16	no	—
17	C₂×C₃×#239	C₂²	1	2	yes	—
18	C₂×C₃×D₃×Q₈	C₂²	1	2	yes	complemented
19	C₂×C₃×#237	C₂²	1	2	yes	—
20	C₂×C₃×#237	C₂²	1	4	yes	complemented
21	C₂×C₃×D₃×D₄	C₂²	1	4	yes	—
22	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
23	C₂×C₃×#235	C₂²	1	4	yes	—
24	C₂×C₃×#235	C₂²	1	2	yes	complemented
25	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
26	C₂²×C₃×C₄×D₃	C₂²	1	4	yes	complemented
27	C₃²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
28	C₃²×#127	C₂²	1	1	yes	characteristic, complemented
29	C₃²×#124	C₂²	1	2	yes	complemented
30	C₃²×#121	C₂²	1	4	yes	complemented
31	C₃²×C₄×D₄	C₂²	1	4	yes	complemented
32	C₂×C₃²×C₄²	C₂²	1	1	yes	characteristic, complemented
33	C₃×#947	C₂²	1	2	yes	complemented
34	C₃×#944	C₂²	1	2	yes	complemented
35	C₃×#940	C₂²	1	2	yes	complemented
36	C₃×#939	C₂²	1	8	yes	complemented
37	C₃×#939	C₂²	1	8	yes	complemented
38	C₃×#937	C₂²	1	8	yes	complemented
39	C₃×#936	C₂²	1	2	yes	complemented
40	C₃×#930	C₂²	1	4	yes	complemented
41	C₃×C₄×#67	C₂²	1	8	yes	complemented
42	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	—
43	C₂×C₃×Dic₃⋊C₄	C₂²	1	2	yes	complemented
44	C₂×C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
45	C₃×#896	C₂²	1	8	yes	complemented
46	C₃×#894	C₂²	1	8	yes	complemented
47	C₃×#884	C₂²	1	8	yes	complemented
48	C₃×#883	C₂²	1	8	yes	complemented
49	C₃×#882	C₂²	1	8	yes	complemented
50	C₃×#878	C₂²	1	8	yes	complemented
51	C₃×#875	C₂²	1	2	yes	complemented
52	C₃×#874	C₂²	1	1	yes	characteristic, complemented
53	C₃×C₄×D₁₂	C₂²	1	4	yes	complemented
54	C₃×#872	C₂²	1	4	yes	complemented
55	C₃×#872	C₂²	1	2	yes	complemented
56	C₃×#872	C₂²	1	2	yes	complemented
57	C₃×#869	C₂²	1	1	yes	characteristic, complemented
58	C₂²×C₃×#41	—	3	2	no	—
59	C₂×D₃×#41	C₂×C₃	1	2	yes	complemented
60	C₃×#537	—	3	4	no	—
61	C₃×#536	—	3	2	no	—
62	C₃×#536	—	3	2	no	—
63	C₃×#535	—	3	2	no	—
64	C₃×#535	—	3	2	no	—
65	C₃×#534	—	3	4	no	—
66	C₃×#532	—	2	1	no	—
67	C₃×#532	—	3	2	no	—
68	C₃×#532	—	3	1	no	—
69	C₃×#532	D₃	1	1	yes	characteristic, complemented
70	C₃×#532	C₂×C₃	1	1	yes	characteristic, complemented
71	C₃×#525	—	3	8	no	—
72	C₂×C₃×#117	—	3	1	no	—
73	#5832	C₂×C₃	1	2	yes	complemented
74	#5724	C₂×C₃	1	2	yes	complemented
75	#5715	C₂×C₃	1	2	yes	complemented
76	#5675	C₂×C₃	1	2	yes	complemented
77	#5674	C₂×C₃	1	2	yes	complemented
78	#5605	C₂×C₃	1	4	yes	complemented
79	#5597	C₂×C₃	1	4	yes	complemented
80	#5547	C₂×C₃	1	8	yes	complemented
81	#5477	C₂×C₃	1	1	yes	characteristic, complemented
82	C₂×#872	C₂×C₃	1	1	yes	characteristic, complemented
83	C₂³×C₃×D₃	C₂³	1	4	yes	—
84	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
85	C₃²×#41	—	2	8	no	—
86	C₂×C₃²×Q₈	C₂³	1	2	yes	—
87	C₂×C₃²×D₄	C₂³	1	2	yes	—
88	C₂×C₃²×D₄	C₂³	1	4	yes	—
89	C₂×C₃²×D₄	C₂³	1	4	yes	—
90	C₂²×C₃²×C₄	C₂³	1	4	yes	—
91	C₂²×C₃²×C₄	C₂³	1	2	yes	—
92	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
93	C₂×C₃×#67	C₂³	1	4	yes	—
94	C₂×C₃×#67	C₂³	1	4	yes	—
95	C₂×C₃×#67	C₂³	1	4	yes	—
96	C₂×C₃×#67	C₂³	1	8	yes	—
97	C₂²×C₃×Dic₃	C₂³	1	4	yes	—
98	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
99	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
100	C₃×#239	—	2	8	no	—
101	C₃×D₃×Q₈	—	2	8	no	—
102	C₃×#237	—	2	16	no	—
103	C₃×#237	—	2	8	no	—
104	C₃×D₃×D₄	—	2	16	no	—
105	C₃×D₃×D₄	—	2	8	no	—
106	C₃×#235	—	2	8	no	—
107	C₃×#235	—	2	16	no	—
108	C₂×C₃×D₁₂	C₂³	1	4	yes	—
109	C₂×C₃×D₁₂	C₂³	1	2	yes	—
110	C₂×C₃×D₁₂	C₂³	1	4	yes	—
111	C₂×C₃×C₄×D₃	—	2	16	no	—
112	C₂×C₃×C₄×D₃	D₄	1	8	yes	complemented
113	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
114	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
115	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
116	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
117	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
118	C₂×C₃×Dic₆	C₂³	1	4	yes	—
119	C₂×C₃×Dic₆	C₂³	1	2	yes	—
120	C₃²×C₄⋊C₄	C₂³	1	4	yes	—
121	C₃²×C₂²⋊C₄	C₂³	1	8	yes	—
122	C₃²×C₄²	C₂³	1	2	yes	—
123	C₃²×C₄²	C₂³	1	1	yes	characteristic
124	C₃²×C₄²	C₂³	1	1	yes	characteristic
125	C₃×#217	C₂³	1	8	yes	—
126	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
127	C₃×(C₂×D₃)⋊C₄	C₂³	1	8	yes	—
128	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
129	C₃×(C₂×D₃)⋊C₄	C₂³	1	8	yes	—
130	C₃×C₄⋊Dic₃	C₂³	1	4	yes	—
131	C₃×Dic₃⋊C₄	C₂³	1	4	yes	—
132	C₃×Dic₃⋊C₄	C₂³	1	8	yes	—
133	C₃×Dic₃⋊C₄	C₂³	1	4	yes	—
134	C₃×C₄×Dic₃	C₂³	1	2	yes	—
135	C₃×C₄×Dic₃	C₂³	1	2	yes	—
136	#3449	—	3	1	no	Sylow
137	C₂×C₃×#41	—	2	2	no	—
138	C₂×C₃×#41	—	3	2	no	—
139	C₂×C₃×#41	—	3	2	no	—
140	C₂×C₃×#41	—	3	4	no	—
141	C₂×C₃×#41	—	3	4	no	—
142	C₂×C₃×#41	—	3	2	no	—
143	C₂×C₃×#41	—	6	16	no	—
144	C₂×C₃×#41	C₂×D₃	1	2	yes	complemented
145	C₂×C₃×#41	C₂²×C₃	1	2	yes	complemented
146	C₂²×C₃×Q₈	—	3	2	no	—
147	C₂²×C₃×D₄	—	3	4	no	—
148	C₂²×C₃×D₄	—	3	2	no	—
149	C₂³×C₃×C₄	—	3	1	no	—
150	C₂³×C₃×C₄	—	3	4	no	—
151	D₃×#41	—	2	16	no	—
152	C₂×#239	C₂²×C₃	1	2	yes	—
153	C₂×D₃×Q₈	C₂²×C₃	1	2	yes	complemented
154	C₂×#237	C₂²×C₃	1	2	yes	—
155	C₂×#237	C₂²×C₃	1	4	yes	complemented
156	C₂×D₃×D₄	C₂²×C₃	1	4	yes	—
157	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
158	C₂×#235	C₂²×C₃	1	4	yes	—
159	C₂×#235	C₂²×C₃	1	2	yes	complemented
160	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
161	C₂²×C₄×D₃	C₂²×C₃	1	4	yes	complemented
162	C₃×C₄⋊Q₈	—	2	1	no	—
163	C₃×C₄⋊Q₈	—	3	2	no	—
164	C₃×C₄⋊Q₈	—	3	1	no	—
165	C₃×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
166	C₃×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
167	C₃×#127	—	2	1	no	—
168	C₃×#127	—	3	2	no	—
169	C₃×#127	—	3	1	no	—
170	C₃×#127	C₂×D₃	1	1	yes	characteristic, complemented
171	C₃×#127	C₂²×C₃	1	1	yes	characteristic, complemented
172	C₃×#124	—	2	2	no	—
173	C₃×#124	—	3	2	no	—
174	C₃×#124	—	3	2	no	—
175	C₃×#124	—	3	2	no	—
176	C₃×#124	C₂×D₃	1	2	yes	complemented
177	C₃×#124	C₂²×C₃	1	2	yes	complemented
178	C₃×#123	—	3	8	no	—
179	C₃×#123	—	3	8	no	—
180	C₃×C₂²⋊Q₈	—	3	8	no	—
181	C₃×C₂²⋊Q₈	—	3	8	no	—
182	C₃×#121	—	2	4	no	—
183	C₃×#121	—	3	8	no	—
184	C₃×#121	—	3	8	no	—
185	C₃×#121	—	3	4	no	—
186	C₃×#121	—	3	8	no	—
187	C₃×#121	C₂×D₃	1	4	yes	complemented
188	C₃×#121	C₂²×C₃	1	4	yes	complemented
189	C₃×#120	—	3	8	no	—
190	C₃×#120	—	3	8	no	—
191	C₃×C₄×D₄	—	2	4	no	—
192	C₃×C₄×D₄	—	3	8	no	—
193	C₃×C₄×D₄	—	3	4	no	—
194	C₃×C₄×D₄	C₂×D₃	1	4	yes	complemented
195	C₃×C₄×D₄	C₂²×C₃	1	4	yes	complemented
196	C₃×#117	—	3	4	no	—
197	C₃×#117	—	3	2	no	—
198	C₃×#117	—	3	2	no	—
199	C₂×C₃×C₄⋊C₄	—	3	2	no	—
200	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
201	C₂×C₃×C₄²	—	2	1	no	—
202	C₂×C₃×C₄²	—	3	1	no	—
203	C₂×C₃×C₄²	C₂×D₃	1	1	yes	characteristic, complemented
204	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic, complemented
205	#947	C₂²×C₃	1	2	yes	complemented
206	#944	C₂²×C₃	1	2	yes	complemented
207	#940	C₂²×C₃	1	2	yes	complemented
208	#939	C₂²×C₃	1	8	yes	complemented
209	#939	C₂²×C₃	1	8	yes	complemented
210	#937	C₂²×C₃	1	8	yes	complemented
211	#936	C₂²×C₃	1	2	yes	complemented
212	#930	C₂²×C₃	1	4	yes	complemented
213	C₄×#67	C₂²×C₃	1	8	yes	complemented
214	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	—
215	C₂×Dic₃⋊C₄	C₂²×C₃	1	2	yes	complemented
216	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
217	#896	C₂²×C₃	1	8	yes	complemented
218	#894	C₂²×C₃	1	8	yes	complemented
219	#884	C₂²×C₃	1	8	yes	complemented
220	#883	C₂²×C₃	1	8	yes	complemented
221	#882	C₂²×C₃	1	8	yes	complemented
222	#878	C₂²×C₃	1	8	yes	complemented
223	#875	C₂²×C₃	1	2	yes	complemented
224	#874	C₂²×C₃	1	1	yes	characteristic, complemented
225	C₄×D₁₂	C₂²×C₃	1	4	yes	complemented
226	#872	C₂²×C₃	1	2	yes	complemented
227	#872	C₂²×C₃	1	2	yes	complemented
228	#872	C₂²×C₃	1	4	yes	complemented
229	#869	C₂²×C₃	1	1	yes	characteristic, complemented
230	C₂³×C₃²	C₂⁴	1	4	yes	—
231	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
232	C₂²×C₃×D₃	—	2	8	no	—
233	C₂²×C₃×D₃	—	4	2	no	—
234	C₂²×C₃×D₃	—	4	8	no	—
235	C₂²×C₃×D₃	C₂×D₄	1	4	yes	—
236	C₂²×C₃×D₃	C₂⁴	1	4	yes	—
237	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
238	C₃²×Q₈	—	2	4	no	—
239	C₃²×D₄	—	2	8	no	—
240	C₃²×D₄	—	2	4	no	—
241	C₃²×D₄	—	4	4	no	—
242	C₂×C₃²×C₄	—	2	8	no	—
243	C₂×C₃²×C₄	—	4	2	no	—
244	C₂×C₃²×C₄	C₂×D₄	1	4	yes	—
245	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
246	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
247	C₂×C₃²×C₄	C₂⁴	1	4	yes	—
248	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
249	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
250	C₃×#67	—	2	8	no	—
251	C₃×#67	—	2	8	no	—
252	C₃×#67	—	2	8	no	—
253	C₃×#67	—	4	8	no	—
254	C₂×C₃×Dic₃	—	2	8	no	—
255	C₂×C₃×Dic₃	—	4	2	no	—
256	C₂×C₃×Dic₃	C₂×D₄	1	4	yes	—
257	C₂×C₃×Dic₃	C₂⁴	1	4	yes	—
258	C₂×C₃×Dic₃	C₂⁴	1	4	yes	—
259	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
260	C₃×D₁₂	—	2	8	no	—
261	C₃×D₁₂	—	2	4	no	—
262	C₃×D₁₂	—	4	4	no	—
263	C₃×C₄×D₃	—	2	8	no	—
264	C₃×C₄×D₃	—	2	8	no	—
265	C₃×C₄×D₃	—	2	8	no	—
266	C₃×C₄×D₃	C₂×D₄	1	8	yes	—
267	C₃×C₄×D₃	C₂×D₄	1	8	yes	—
268	C₃×Dic₆	—	2	4	no	—
269	C₃×Dic₆	—	2	8	no	—
270	C₂²×#41	—	3	2	no	—
271	#537	—	3	4	no	—
272	#536	—	3	2	no	—
273	#536	—	3	2	no	—
274	#535	—	3	2	no	—
275	#535	—	3	2	no	—
276	#534	—	3	4	no	—
277	#532	—	3	2	no	—
278	#532	—	3	1	no	—
279	#532	C₃×D₃	1	1	yes	characteristic, complemented
280	#525	—	3	8	no	—
281	C₂×#117	—	3	1	no	—
282	C₂⁴×C₃	—	3	1	no	—
283	C₂⁴×C₃	—	3	4	no	—
284	C₂³×D₃	C₂³×C₃	1	4	yes	—
285	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
286	C₃×#41	—	2	8	no	—
287	C₃×#41	—	2	8	no	—
288	C₃×#41	—	4	8	no	—
289	C₃×#41	—	6	16	no	—
290	C₃×#41	—	6	16	no	—
291	C₃×#41	—	6	8	no	—
292	C₃×#41	—	6	8	no	—
293	C₃×#41	—	6	8	no	—
294	C₂×C₃×Q₈	—	2	2	no	—
295	C₂×C₃×Q₈	—	3	4	no	—
296	C₂×C₃×Q₈	—	3	2	no	—
297	C₂×C₃×Q₈	—	6	8	no	—
298	C₂×C₃×Q₈	C₂²×D₃	1	2	yes	—
299	C₂×C₃×Q₈	C₂³×C₃	1	2	yes	—
300	C₂×C₃×D₄	—	2	4	no	—
301	C₂×C₃×D₄	—	2	4	no	—
302	C₂×C₃×D₄	—	2	2	no	—
303	C₂×C₃×D₄	—	3	4	no	—
304	C₂×C₃×D₄	—	3	4	no	—
305	C₂×C₃×D₄	—	3	4	no	—
306	C₂×C₃×D₄	—	3	8	no	—
307	C₂×C₃×D₄	—	3	4	no	—
308	C₂×C₃×D₄	—	3	2	no	—
309	C₂×C₃×D₄	—	3	4	no	—
310	C₂×C₃×D₄	—	6	8	no	—
311	C₂×C₃×D₄	—	6	16	no	—
312	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
313	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
314	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
315	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
316	C₂×C₃×D₄	C₂³×C₃	1	4	yes	—
317	C₂×C₃×D₄	C₂³×C₃	1	4	yes	—
318	C₂²×C₃×C₄	—	2	1	no	—
319	C₂²×C₃×C₄	—	2	2	no	—
320	C₂²×C₃×C₄	—	2	4	no	—
321	C₂²×C₃×C₄	—	3	1	no	—
322	C₂²×C₃×C₄	—	3	8	no	—
323	C₂²×C₃×C₄	—	3	2	no	—
324	C₂²×C₃×C₄	—	3	2	no	—
325	C₂²×C₃×C₄	—	3	4	no	—
326	C₂²×C₃×C₄	—	3	2	no	—
327	C₂²×C₃×C₄	—	3	4	no	—
328	C₂²×C₃×C₄	—	3	4	no	—
329	C₂²×C₃×C₄	—	3	4	no	—
330	C₂²×C₃×C₄	—	6	16	no	—
331	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
332	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
333	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
334	C₂²×C₃×C₄	C₂³×C₃	1	4	yes	—
335	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
336	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
337	C₂×#67	C₂³×C₃	1	4	yes	—
338	C₂×#67	C₂³×C₃	1	4	yes	—
339	C₂×#67	C₂³×C₃	1	4	yes	—
340	C₂×#67	C₂³×C₃	1	8	yes	—
341	C₂²×Dic₃	C₂³×C₃	1	4	yes	—
342	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
343	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
344	#239	—	2	8	no	—
345	D₃×Q₈	—	2	8	no	—
346	#237	—	2	16	no	—
347	#237	—	2	8	no	—
348	D₃×D₄	—	2	16	no	—
349	D₃×D₄	—	2	8	no	—
350	#235	—	2	8	no	—
351	#235	—	2	16	no	—
352	C₂×D₁₂	C₂³×C₃	1	2	yes	—
353	C₂×D₁₂	C₂³×C₃	1	4	yes	—
354	C₂×D₁₂	C₂³×C₃	1	4	yes	—
355	C₂×C₄×D₃	—	2	16	no	—
356	C₂×C₄×D₃	C₃×D₄	1	8	yes	complemented
357	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
358	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
359	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
360	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
361	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
362	C₂×Dic₆	C₂³×C₃	1	2	yes	—
363	C₂×Dic₆	C₂³×C₃	1	4	yes	—
364	C₃×C₄⋊C₄	—	2	4	no	—
365	C₃×C₄⋊C₄	—	3	4	no	—
366	C₃×C₄⋊C₄	—	3	4	no	—
367	C₃×C₄⋊C₄	—	3	8	no	—
368	C₃×C₄⋊C₄	—	3	4	no	—
369	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
370	C₃×C₄⋊C₄	C₂³×C₃	1	4	yes	—
371	C₃×C₂²⋊C₄	—	2	8	no	—
372	C₃×C₂²⋊C₄	—	3	8	no	—
373	C₃×C₂²⋊C₄	—	3	4	no	—
374	C₃×C₂²⋊C₄	—	3	4	no	—
375	C₃×C₂²⋊C₄	—	3	8	no	—
376	C₃×C₂²⋊C₄	—	3	8	no	—
377	C₃×C₂²⋊C₄	C₂²×D₃	1	8	yes	—
378	C₃×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
379	C₃×C₄²	—	2	2	no	—
380	C₃×C₄²	—	2	1	no	—
381	C₃×C₄²	—	2	1	no	—
382	C₃×C₄²	—	3	2	no	—
383	C₃×C₄²	—	3	2	no	—
384	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
385	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
386	C₃×C₄²	C₂²×D₃	1	2	yes	—
387	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
388	C₃×C₄²	C₂³×C₃	1	2	yes	—
389	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
390	#217	C₂³×C₃	1	8	yes	—
391	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
392	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
393	(C₂×D₃)⋊C₄	C₂³×C₃	1	8	yes	—
394	(C₂×D₃)⋊C₄	C₂³×C₃	1	8	yes	—
395	C₄⋊Dic₃	C₂³×C₃	1	4	yes	—
396	Dic₃⋊C₄	C₂³×C₃	1	4	yes	—
397	Dic₃⋊C₄	C₂³×C₃	1	4	yes	—
398	Dic₃⋊C₄	C₂³×C₃	1	8	yes	—
399	C₄×Dic₃	C₂³×C₃	1	2	yes	—
400	C₄×Dic₃	C₂³×C₃	1	2	yes	—
401	C₂²×C₃²	—	2	2	no	—
402	C₂²×C₃²	—	2	4	no	—
403	C₂²×C₃²	—	2	8	no	—
404	C₂²×C₃²	C₂²×D₄	1	2	yes	—
405	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
406	C₂×C₃×D₃	—	2	4	no	—
407	C₂×C₃×D₃	—	2	4	no	—
408	C₂×C₃×D₃	—	2	8	no	—
409	C₂×C₃×D₃	—	4	4	no	—
410	C₂×C₃×D₃	—	4	16	no	—
411	C₂×C₃×D₃	C₂²×D₄	1	4	yes	—
412	C₃²×C₄	—	2	2	no	—
413	C₃²×C₄	—	2	4	no	—
414	C₃²×C₄	—	2	2	no	—
415	C₃²×C₄	C₂²×D₄	1	2	yes	—
416	C₃²×C₄	C₂²×D₄	1	2	yes	—
417	C₃×Dic₃	—	2	4	no	—
418	C₃×Dic₃	—	2	4	no	—
419	C₃×Dic₃	C₂²×D₄	1	4	yes	—
420	C₂×#41	—	3	2	no	—
421	C₂×#41	—	3	2	no	—
422	C₂×#41	—	3	4	no	—
423	C₂×#41	—	3	4	no	—
424	C₂×#41	—	3	2	no	—
425	C₂×#41	—	6	16	no	—
426	C₂×#41	C₂×C₃×D₃	1	2	yes	complemented
427	C₂²×Q₈	—	3	2	no	—
428	C₂²×D₄	—	3	4	no	—
429	C₂²×D₄	—	3	2	no	—
430	C₂³×C₄	—	3	1	no	—
431	C₂³×C₄	—	3	4	no	—
432	C₄⋊Q₈	—	3	2	no	—
433	C₄⋊Q₈	—	3	1	no	—
434	C₄⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
435	#127	—	3	2	no	—
436	#127	—	3	1	no	—
437	#127	C₂×C₃×D₃	1	1	yes	characteristic, complemented
438	#124	—	3	2	no	—
439	#124	—	3	2	no	—
440	#124	—	3	2	no	—
441	#124	C₂×C₃×D₃	1	2	yes	complemented
442	#123	—	3	8	no	—
443	#123	—	3	8	no	—
444	C₂²⋊Q₈	—	3	8	no	—
445	C₂²⋊Q₈	—	3	8	no	—
446	#121	—	3	8	no	—
447	#121	—	3	8	no	—
448	#121	—	3	4	no	—
449	#121	—	3	8	no	—
450	#121	C₂×C₃×D₃	1	4	yes	complemented
451	#120	—	3	8	no	—
452	#120	—	3	8	no	—
453	C₄×D₄	—	3	8	no	—
454	C₄×D₄	—	3	4	no	—
455	C₄×D₄	C₂×C₃×D₃	1	4	yes	complemented
456	#117	—	3	4	no	—
457	#117	—	3	2	no	—
458	#117	—	3	2	no	—
459	C₂×C₄⋊C₄	—	3	2	no	—
460	C₂×C₂²⋊C₄	—	3	2	no	—
461	C₂×C₄²	—	3	1	no	—
462	C₂×C₄²	C₂×C₃×D₃	1	1	yes	characteristic, complemented
463	C₂³×C₃	—	2	1	no	—
464	C₂³×C₃	—	2	4	no	—
465	C₂³×C₃	—	3	2	no	—
466	C₂³×C₃	—	3	4	no	—
467	C₂³×C₃	—	3	4	no	—
468	C₂³×C₃	—	6	8	no	—
469	C₂³×C₃	—	12	2	no	—
470	C₂³×C₃	—	12	8	no	—
471	C₂³×C₃	C₂³×D₃	1	4	yes	—
472	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
473	C₂³×C₃	C₂⁴×C₃	1	4	yes	—
474	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
475	C₂²×D₃	—	2	8	no	—
476	C₂²×D₃	—	4	2	no	—
477	C₂²×D₃	—	4	8	no	—
478	C₂²×D₃	C₂×C₃×D₄	1	4	yes	—
479	C₂²×D₃	C₂⁴×C₃	1	4	yes	—
480	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
481	C₃×Q₈	—	2	4	no	—
482	C₃×Q₈	—	2	4	no	—
483	C₃×Q₈	—	4	4	no	—
484	C₃×Q₈	—	6	8	no	—
485	C₃×Q₈	—	6	4	no	—
486	C₃×D₄	—	2	8	no	—
487	C₃×D₄	—	2	8	no	—
488	C₃×D₄	—	2	4	no	—
489	C₃×D₄	—	2	4	no	—
490	C₃×D₄	—	4	4	no	—
491	C₃×D₄	—	4	8	no	—
492	C₃×D₄	—	4	4	no	—
493	C₃×D₄	—	4	4	no	—
494	C₃×D₄	—	4	8	no	—
495	C₃×D₄	—	6	8	no	—
496	C₃×D₄	—	6	8	no	—
497	C₃×D₄	—	6	8	no	—
498	C₃×D₄	—	6	8	no	—
499	C₃×D₄	—	6	4	no	—
500	C₃×D₄	—	12	4	no	—
501	C₃×D₄	—	12	8	no	—
502	C₂×C₃×C₄	—	2	8	no	—
503	C₂×C₃×C₄	—	2	8	no	—
504	C₂×C₃×C₄	—	2	2	no	—
505	C₂×C₃×C₄	—	2	1	no	—
506	C₂×C₃×C₄	—	2	1	no	—
507	C₂×C₃×C₄	—	2	2	no	—
508	C₂×C₃×C₄	—	2	4	no	—
509	C₂×C₃×C₄	—	2	4	no	—
510	C₂×C₃×C₄	—	3	4	no	—
511	C₂×C₃×C₄	—	3	2	no	—
512	C₂×C₃×C₄	—	3	8	no	—
513	C₂×C₃×C₄	—	3	8	no	—
514	C₂×C₃×C₄	—	3	4	no	—
515	C₂×C₃×C₄	—	3	4	no	—
516	C₂×C₃×C₄	—	4	8	no	—
517	C₂×C₃×C₄	—	4	2	no	—
518	C₂×C₃×C₄	—	4	2	no	—
519	C₂×C₃×C₄	—	4	4	no	—
520	C₂×C₃×C₄	—	6	8	no	—
521	C₂×C₃×C₄	—	6	8	no	—
522	C₂×C₃×C₄	—	6	8	no	—
523	C₂×C₃×C₄	—	6	8	no	—
524	C₂×C₃×C₄	—	12	2	no	—
525	C₂×C₃×C₄	D₃×D₄	1	4	yes	—
526	C₂×C₃×C₄	C₂×C₃×D₄	1	4	yes	—
527	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
528	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
529	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
530	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
531	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
532	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
533	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
534	C₂×C₃×C₄	C₂⁴×C₃	1	4	yes	—
535	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
536	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
537	#67	—	2	8	no	—
538	#67	—	2	8	no	—
539	#67	—	2	8	no	—
540	#67	—	4	8	no	—
541	C₂×Dic₃	—	2	8	no	—
542	C₂×Dic₃	—	4	2	no	—
543	C₂×Dic₃	C₂×C₃×D₄	1	4	yes	—
544	C₂×Dic₃	C₂⁴×C₃	1	4	yes	—
545	C₂×Dic₃	C₂⁴×C₃	1	4	yes	—
546	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
547	D₁₂	—	2	8	no	—
548	D₁₂	—	2	4	no	—
549	D₁₂	—	4	4	no	—
550	C₄×D₃	—	2	8	no	—
551	C₄×D₃	—	2	8	no	—
552	C₄×D₃	—	2	8	no	—
553	C₄×D₃	C₂×C₃×D₄	1	8	yes	—
554	C₄×D₃	C₂×C₃×D₄	1	8	yes	—
555	Dic₆	—	2	4	no	—
556	Dic₆	—	2	8	no	—
557	C₂×C₃²	—	2	2	no	—
558	C₂×C₃²	—	4	4	no	—
559	C₂×C₃²	C₂³×D₄	1	1	yes	characteristic
560	C₂×C₃²	#585	1	2	yes	—
561	C₃×D₃	—	2	4	no	—
562	C₃×D₃	—	4	4	no	—
563	C₂⁴	—	3	1	no	—
564	C₂⁴	—	3	4	no	—
565	#41	—	2	8	no	—
566	#41	—	6	16	no	—
567	#41	—	6	16	no	—
568	#41	—	6	8	no	—
569	#41	—	6	8	no	—
570	#41	—	6	8	no	—
571	C₂×Q₈	—	3	4	no	—
572	C₂×Q₈	—	3	2	no	—
573	C₂×Q₈	—	6	8	no	—
574	C₂×Q₈	C₂²×C₃×D₃	1	2	yes	—
575	C₂×D₄	—	3	4	no	—
576	C₂×D₄	—	3	4	no	—
577	C₂×D₄	—	3	4	no	—
578	C₂×D₄	—	3	8	no	—
579	C₂×D₄	—	3	4	no	—
580	C₂×D₄	—	3	2	no	—
581	C₂×D₄	—	3	4	no	—
582	C₂×D₄	—	6	8	no	—
583	C₂×D₄	—	6	16	no	—
584	C₂×D₄	C₂²×C₃×D₃	1	4	yes	—
585	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
586	C₂×D₄	C₂²×C₃×D₃	1	4	yes	—
587	C₂²×C₄	—	3	1	no	—
588	C₂²×C₄	—	3	2	no	—
589	C₂²×C₄	—	3	2	no	—
590	C₂²×C₄	—	3	8	no	—
591	C₂²×C₄	—	3	4	no	—
592	C₂²×C₄	—	3	2	no	—
593	C₂²×C₄	—	3	4	no	—
594	C₂²×C₄	—	3	4	no	—
595	C₂²×C₄	—	3	4	no	—
596	C₂²×C₄	—	6	16	no	—
597	C₂²×C₄	C₂²×C₃×D₃	1	4	yes	—
598	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
599	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
600	C₄⋊C₄	—	3	4	no	—
601	C₄⋊C₄	—	3	4	no	—
602	C₄⋊C₄	—	3	8	no	—
603	C₄⋊C₄	—	3	4	no	—
604	C₄⋊C₄	C₂²×C₃×D₃	1	4	yes	—
605	C₂²⋊C₄	—	3	8	no	—
606	C₂²⋊C₄	—	3	4	no	—
607	C₂²⋊C₄	—	3	4	no	—
608	C₂²⋊C₄	—	3	8	no	—
609	C₂²⋊C₄	—	3	8	no	—
610	C₂²⋊C₄	C₂²×C₃×D₃	1	8	yes	—
611	C₄²	—	3	2	no	—
612	C₄²	—	3	2	no	—
613	C₄²	C₂²×C₃×D₃	1	2	yes	—
614	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
615	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
616	C₂²×C₃	—	2	2	no	—
617	C₂²×C₃	—	2	2	no	—
618	C₂²×C₃	—	2	4	no	—
619	C₂²×C₃	—	2	8	no	—
620	C₂²×C₃	—	2	4	no	—
621	C₂²×C₃	—	2	8	no	—
622	C₂²×C₃	—	2	2	no	—
623	C₂²×C₃	—	2	1	no	—
624	C₂²×C₃	—	3	4	no	—
625	C₂²×C₃	—	4	2	no	—
626	C₂²×C₃	—	4	4	no	—
627	C₂²×C₃	—	4	8	no	—
628	C₂²×C₃	—	6	4	no	—
629	C₂²×C₃	—	6	4	no	—
630	C₂²×C₃	—	6	8	no	—
631	C₂²×C₃	—	12	4	no	—
632	C₂²×C₃	—	12	16	no	—
633	C₂²×C₃	C₂×D₃×D₄	1	2	yes	—
634	C₂²×C₃	C₂²×C₃×D₄	1	2	yes	—
635	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
636	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
637	C₂×D₃	—	2	4	no	—
638	C₂×D₃	—	2	4	no	—
639	C₂×D₃	—	2	8	no	—
640	C₂×D₃	—	4	4	no	—
641	C₂×D₃	—	4	16	no	—
642	C₂×D₃	C₂²×C₃×D₄	1	4	yes	—
643	C₃×C₄	—	2	4	no	—
644	C₃×C₄	—	2	4	no	—
645	C₃×C₄	—	2	2	no	—
646	C₃×C₄	—	2	2	no	—
647	C₃×C₄	—	2	4	no	—
648	C₃×C₄	—	2	2	no	—
649	C₃×C₄	—	2	2	no	—
650	C₃×C₄	—	2	2	no	—
651	C₃×C₄	—	2	2	no	—
652	C₃×C₄	—	3	4	no	—
653	C₃×C₄	—	4	4	no	—
654	C₃×C₄	—	4	2	no	—
655	C₃×C₄	—	6	4	no	—
656	C₃×C₄	—	6	4	no	—
657	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
658	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
659	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
660	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
661	Dic₃	—	2	4	no	—
662	Dic₃	—	2	4	no	—
663	Dic₃	C₂²×C₃×D₄	1	4	yes	—
664	C₃²	#3449	1	1	yes	characteristic, complemented, Sylow
665	C₂³	—	3	2	no	—
666	C₂³	—	3	4	no	—
667	C₂³	—	3	4	no	—
668	C₂³	—	6	8	no	—
669	C₂³	—	12	2	no	—
670	C₂³	—	12	8	no	—
671	C₂³	C₂³×C₃×D₃	1	4	yes	—
672	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
673	Q₈	—	2	4	no	—
674	Q₈	—	6	8	no	—
675	Q₈	—	6	4	no	—
676	D₄	—	2	8	no	—
677	D₄	—	2	4	no	—
678	D₄	—	4	4	no	—
679	D₄	—	6	8	no	—
680	D₄	—	6	8	no	—
681	D₄	—	6	8	no	—
682	D₄	—	6	8	no	—
683	D₄	—	6	4	no	—
684	D₄	—	12	4	no	—
685	D₄	—	12	8	no	—
686	C₂×C₄	—	2	8	no	—
687	C₂×C₄	—	3	4	no	—
688	C₂×C₄	—	3	2	no	—
689	C₂×C₄	—	3	8	no	—
690	C₂×C₄	—	3	8	no	—
691	C₂×C₄	—	3	4	no	—
692	C₂×C₄	—	3	4	no	—
693	C₂×C₄	—	4	2	no	—
694	C₂×C₄	—	6	8	no	—
695	C₂×C₄	—	6	8	no	—
696	C₂×C₄	—	6	8	no	—
697	C₂×C₄	—	6	8	no	—
698	C₂×C₄	—	12	2	no	—
699	C₂×C₄	C₃×D₃×D₄	1	4	yes	—
700	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
701	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
702	C₂×C₄	C₂³×C₃×D₃	1	4	yes	—
703	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
704	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
705	C₂×C₃	—	2	2	no	—
706	C₂×C₃	—	2	2	no	—
707	C₂×C₃	—	2	1	no	—
708	C₂×C₃	—	2	2	no	—
709	C₂×C₃	—	4	2	no	—
710	C₂×C₃	—	4	4	no	—
711	C₂×C₃	—	4	4	no	—
712	C₂×C₃	—	6	4	no	—
713	C₂×C₃	—	8	4	no	—
714	C₂×C₃	—	12	4	no	—
715	C₂×C₃	C₂²×D₃×D₄	1	1	yes	characteristic
716	C₂×C₃	#5964	1	2	yes	—
717	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
718	C₂×C₃	C₃×#585	1	2	yes	—
719	D₃	—	2	4	no	—
720	D₃	—	4	4	no	—
721	C₂²	—	2	2	no	—
722	C₂²	—	2	4	no	—
723	C₂²	—	2	8	no	—
724	C₂²	—	3	4	no	—
725	C₂²	—	6	4	no	—
726	C₂²	—	6	4	no	—
727	C₂²	—	6	8	no	—
728	C₂²	—	12	4	no	—
729	C₂²	—	12	16	no	—
730	C₂²	C₂×C₃×D₃×D₄	1	2	yes	—
731	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
732	C₄	—	2	4	no	—
733	C₄	—	2	2	no	—
734	C₄	—	2	2	no	—
735	C₄	—	3	4	no	—
736	C₄	—	6	4	no	—
737	C₄	—	6	4	no	—
738	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
739	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
740	C₃	—	2	1	no	—
741	C₃	#86235	1	1	yes	characteristic, direct product factor
742	C₃	C₃×#3449	1	1	yes	characteristic, complemented
743	C₂	—	2	2	no	—
744	C₂	—	4	4	no	—
745	C₂	—	6	4	no	—
746	C₂	—	12	4	no	—
747	C₂	C₂²×C₃×D₃×D₄	1	1	yes	characteristic
748	C₂	C₃×#5964	1	2	yes	—

	subgroup	G/H
center	C₂×C₃×C₄	C₂³×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₃²×#532	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#532	D₃
hypocenter	C₃	C₃×#3449
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₃×#532

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×D₃×#41	C₂	semidirect
2. C₃²×#532	C₂	semidirect
3. C₃×#5832	C₂	semidirect
4. C₃×#5724	C₂	semidirect
5. C₃×#5715	C₂	semidirect
6. C₃×#5675	C₂	semidirect
7. C₃×#5674	C₂	semidirect
8. C₃×#5605	C₂	semidirect
9. C₃×#5597	C₂	semidirect
10. C₃×#5547	C₂	semidirect
11. C₃×#5477	C₂	semidirect
12. C₂×C₃×#872	C₂	semidirect
14. #86235	C₃	direct (N × H)
15. C₂×C₃²×#41	C₂²	semidirect
18. C₂×C₃×D₃×Q₈	C₂²	semidirect
20. C₂×C₃×#237	C₂²	semidirect
22. C₂×C₃×D₃×D₄	C₂²	semidirect
24. C₂×C₃×#235	C₂²	semidirect
26. C₂²×C₃×C₄×D₃	C₂²	semidirect
27. C₃²×C₄⋊Q₈	C₂²	semidirect
28. C₃²×#127	C₂²	semidirect
29. C₃²×#124	C₂²	semidirect
30. C₃²×#121	C₂²	semidirect
31. C₃²×C₄×D₄	C₂²	semidirect
32. C₂×C₃²×C₄²	C₂²	semidirect
33. C₃×#947	C₂²	semidirect
34. C₃×#944	C₂²	semidirect
35. C₃×#940	C₂²	semidirect
36. C₃×#939	C₂²	semidirect
37. C₃×#939	C₂²	semidirect
38. C₃×#937	C₂²	semidirect
39. C₃×#936	C₂²	semidirect
40. C₃×#930	C₂²	semidirect
41. C₃×C₄×#67	C₂²	semidirect
43. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
44. C₂×C₃×C₄×Dic₃	C₂²	semidirect
45. C₃×#896	C₂²	semidirect
46. C₃×#894	C₂²	semidirect
47. C₃×#884	C₂²	semidirect
48. C₃×#883	C₂²	semidirect
49. C₃×#882	C₂²	semidirect
50. C₃×#878	C₂²	semidirect
51. C₃×#875	C₂²	semidirect
52. C₃×#874	C₂²	semidirect
53. C₃×C₄×D₁₂	C₂²	semidirect
54. C₃×#872	C₂²	semidirect
55. C₃×#872	C₂²	semidirect
56. C₃×#872	C₂²	semidirect
57. C₃×#869	C₂²	semidirect
59. C₂×D₃×#41	C₂×C₃	semidirect
69. C₃×#532	D₃	semidirect
70. C₃×#532	C₂×C₃	semidirect
73. #5832	C₂×C₃	semidirect
74. #5724	C₂×C₃	semidirect
75. #5715	C₂×C₃	semidirect
76. #5675	C₂×C₃	semidirect
77. #5674	C₂×C₃	semidirect
78. #5605	C₂×C₃	semidirect
79. #5597	C₂×C₃	semidirect
80. #5547	C₂×C₃	semidirect
81. #5477	C₂×C₃	semidirect
82. C₂×#872	C₂×C₃	semidirect
112. C₂×C₃×C₄×D₃	D₄	semidirect
144. C₂×C₃×#41	C₂×D₃	semidirect
145. C₂×C₃×#41	C₂²×C₃	semidirect
153. C₂×D₃×Q₈	C₂²×C₃	semidirect
155. C₂×#237	C₂²×C₃	semidirect
157. C₂×D₃×D₄	C₂²×C₃	semidirect
159. C₂×#235	C₂²×C₃	semidirect
161. C₂²×C₄×D₃	C₂²×C₃	semidirect
165. C₃×C₄⋊Q₈	C₂×D₃	semidirect
166. C₃×C₄⋊Q₈	C₂²×C₃	semidirect
170. C₃×#127	C₂×D₃	semidirect
171. C₃×#127	C₂²×C₃	semidirect
176. C₃×#124	C₂×D₃	semidirect
177. C₃×#124	C₂²×C₃	semidirect
187. C₃×#121	C₂×D₃	semidirect
188. C₃×#121	C₂²×C₃	semidirect
194. C₃×C₄×D₄	C₂×D₃	semidirect
195. C₃×C₄×D₄	C₂²×C₃	semidirect
203. C₂×C₃×C₄²	C₂×D₃	semidirect
204. C₂×C₃×C₄²	C₂²×C₃	semidirect
205. #947	C₂²×C₃	semidirect
206. #944	C₂²×C₃	semidirect
207. #940	C₂²×C₃	semidirect
208. #939	C₂²×C₃	semidirect
209. #939	C₂²×C₃	semidirect
210. #937	C₂²×C₃	semidirect
211. #936	C₂²×C₃	semidirect
212. #930	C₂²×C₃	semidirect
213. C₄×#67	C₂²×C₃	semidirect
215. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
216. C₂×C₄×Dic₃	C₂²×C₃	semidirect
217. #896	C₂²×C₃	semidirect
218. #894	C₂²×C₃	semidirect
219. #884	C₂²×C₃	semidirect
220. #883	C₂²×C₃	semidirect
221. #882	C₂²×C₃	semidirect
222. #878	C₂²×C₃	semidirect
223. #875	C₂²×C₃	semidirect
224. #874	C₂²×C₃	semidirect
225. C₄×D₁₂	C₂²×C₃	semidirect
226. #872	C₂²×C₃	semidirect
227. #872	C₂²×C₃	semidirect
228. #872	C₂²×C₃	semidirect
229. #869	C₂²×C₃	semidirect
279. #532	C₃×D₃	semidirect
356. C₂×C₄×D₃	C₃×D₄	semidirect
426. C₂×#41	C₂×C₃×D₃	semidirect
434. C₄⋊Q₈	C₂×C₃×D₃	semidirect
437. #127	C₂×C₃×D₃	semidirect
441. #124	C₂×C₃×D₃	semidirect
450. #121	C₂×C₃×D₃	semidirect
455. C₄×D₄	C₂×C₃×D₃	semidirect
462. C₂×C₄²	C₂×C₃×D₃	semidirect
664. C₃²	#3449	semidirect
741. C₃	#86235	direct (N × H)
742. C₃	C₃×#3449	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×D₃×#41	2
C₃²×#532	2
C₃×#5832	2
C₃×#5724	2
C₃×#5715	2
C₃×#5675	2
C₃×#5674	2
C₃×#5605	2
C₃×#5597	2
C₃×#5547	2
C₃×#5477	2
C₂×C₃×#872	2
C₃×#3449	3
#86235	3

Subgroups — C3×#86235 #11901175

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86235 #11901175