Subgroups — C₃×#80505 #11870847

Order 1152.

970 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#5680	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×C₄×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃²×#463	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5169	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×Dic₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5156	C₂	1	1	yes	maximal, characteristic
7	C₃×Dic₃×D₈	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5057	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5009	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#4847	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#4833	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#4811	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#4788	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#4777	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#4756	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3105	—	3	1	no	maximal
17	#80505	C₃	1	1	yes	maximal, characteristic, direct product factor
18	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic
19	C₂²×C₃×C₄×D₃	—	2	1	no	—
20	C₂×C₃²×SD₁₆	C₂²	1	1	yes	characteristic
21	C₂×C₃²×D₈	C₂²	1	1	yes	characteristic
22	C₃²×#124	C₂²	1	1	yes	characteristic, complemented
23	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
24	C₃×#946	C₂²	1	1	yes	characteristic
25	C₃×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₃×#215	C₂²	1	1	yes	characteristic
27	C₃×#938	C₂²	1	1	yes	characteristic
28	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
29	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₃×#213	C₂²	1	1	yes	characteristic
31	C₃×C₄×#67	—	2	1	no	—
32	C₃×#893	C₂²	1	1	yes	characteristic
33	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
34	C₃×#883	—	2	1	no	—
35	C₃×#67⋊C₄	—	2	1	no	—
36	C₃×#67⋊C₄	—	2	1	no	—
37	C₃×D₃×C₂²⋊C₄	—	2	1	no	—
38	C₃×#879	—	2	1	no	—
39	C₃×#877	—	2	1	no	—
40	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
41	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic
42	C₃×#870	C₂²	1	1	yes	characteristic, complemented
43	C₃²×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
44	C₃²×#103	C₂²	1	1	yes	characteristic, complemented
45	C₃²×#102	C₂²	1	1	yes	characteristic, complemented
46	C₃×#835	C₂²	1	1	yes	characteristic, complemented
47	C₃×#832	C₂²	1	1	yes	characteristic
48	C₃×#832	C₂²	1	1	yes	characteristic
49	C₃×#832	C₂²	1	1	yes	characteristic, complemented
50	C₃×#821	C₂²	1	1	yes	characteristic
51	C₃×#821	C₂²	1	1	yes	characteristic
52	C₃×(C₂×D₃)⋊C₈	C₂²	1	1	yes	characteristic
53	C₃×(C₂×D₃)⋊C₈	C₂²	1	1	yes	characteristic
54	C₃×#818	C₂²	1	1	yes	characteristic, complemented
55	C₃×#817	C₂²	1	1	yes	characteristic, complemented
56	C₃×C₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
57	C₃×C₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
58	C₃×#808	C₂²	1	1	yes	characteristic, complemented
59	C₃×#807	C₂²	1	1	yes	characteristic, complemented
60	C₃×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
61	C₃×#529	—	3	1	no	—
62	C₂×C₃×C₄×D₄	—	3	1	no	—
63	#5680	C₂×C₃	1	1	yes	characteristic, complemented
64	C₄×D₃×D₄	C₂×C₃	1	1	yes	characteristic, complemented
65	C₃×#484	—	3	1	no	—
66	C₃×#481	—	3	1	no	—
67	C₃×#478	—	3	1	no	—
68	C₃×#478	—	3	1	no	—
69	C₃×#463	—	2	1	no	—
70	C₃×#463	—	3	1	no	—
71	C₃×#463	D₃	1	1	yes	characteristic, complemented
72	C₃×#463	C₂×C₃	1	1	yes	characteristic, complemented
73	C₃×#450	—	3	1	no	—
74	C₃×#447	—	3	1	no	—
75	C₃×C₄×SD₁₆	—	3	1	no	—
76	C₃×C₄×SD₁₆	—	3	1	no	—
77	C₃×C₄×D₈	—	3	1	no	—
78	C₃×C₄×D₈	—	3	1	no	—
79	C₃×#431	—	3	1	no	—
80	#5169	C₂×C₃	1	1	yes	characteristic, complemented
81	Dic₃×SD₁₆	C₂×C₃	1	1	yes	characteristic, complemented
82	#5156	C₂×C₃	1	1	yes	characteristic
83	Dic₃×D₈	C₂×C₃	1	1	yes	characteristic, complemented
84	#5057	C₂×C₃	1	1	yes	characteristic, complemented
85	#5009	C₂×C₃	1	1	yes	characteristic, complemented
86	#4847	C₂×C₃	1	1	yes	characteristic, complemented
87	#4833	C₂×C₃	1	1	yes	characteristic, complemented
88	#4811	C₂×C₃	1	1	yes	characteristic, complemented
89	#4788	C₂×C₃	1	1	yes	characteristic, complemented
90	#4777	C₂×C₃	1	1	yes	characteristic, complemented
91	#4756	C₂×C₃	1	1	yes	characteristic, complemented
92	C₂³×C₃×D₃	—	2	1	no	—
93	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
94	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
95	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
96	C₂²×C₃²×C₄	—	2	1	no	—
97	C₂×C₃×#67	—	2	1	no	—
98	C₂×C₃×#67	—	2	1	no	—
99	C₂²×C₃×Dic₃	—	2	1	no	—
100	C₂²×C₃×Dic₃	—	2	1	no	—
101	C₃×D₃×D₄	—	2	2	no	—
102	C₃×D₃×D₄	—	2	2	no	—
103	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
104	C₂×C₃×C₄×D₃	—	2	1	no	—
105	C₂×C₃×C₄×D₃	—	2	1	no	—
106	C₂×C₃×C₄×D₃	—	2	1	no	—
107	C₂×C₃×C₄×D₃	—	4	4	no	—
108	C₂×C₃×C₄×D₃	D₄	1	1	yes	characteristic
109	C₂×C₃×C₄×D₃	D₄	1	1	yes	characteristic
110	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
111	C₃²×SD₁₆	—	2	2	no	—
112	C₃²×D₈	—	2	2	no	—
113	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
114	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
115	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
116	C₃²×C₂²⋊C₄	—	2	1	no	—
117	C₃²×C₂²⋊C₄	—	2	1	no	—
118	C₃²×C₂²⋊C₄	—	2	1	no	—
119	C₃²×C₄²	C₂³	1	1	yes	characteristic
120	C₃×#217	—	2	1	no	—
121	C₃×#217	—	2	1	no	—
122	C₃×#217	—	2	1	no	—
123	C₃×#215	—	2	2	no	—
124	C₃×#213	—	2	2	no	—
125	C₃×(C₂×D₃)⋊C₄	—	2	1	no	—
126	C₃×(C₂×D₃)⋊C₄	—	2	1	no	—
127	C₃×(C₂×D₃)⋊C₄	—	2	1	no	—
128	C₃×C₄⋊Dic₃	—	2	1	no	—
129	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
130	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
131	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
132	C₃×Dic₃⋊C₄	—	2	1	no	—
133	C₃×Dic₃⋊C₄	—	2	1	no	—
134	C₃×Dic₃⋊C₄	—	2	1	no	—
135	C₃×Dic₃⋊C₄	—	2	1	no	—
136	C₃×C₄×Dic₃	—	2	1	no	—
137	C₃×C₄×Dic₃	D₄	1	1	yes	characteristic
138	C₃×C₄×Dic₃	D₄	1	1	yes	characteristic
139	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
140	C₂×C₃×C₃⋊C₈	C₂³	1	1	yes	characteristic
141	C₂×C₃×C₃⋊C₈	C₂³	1	1	yes	characteristic
142	#3105	—	3	1	no	Sylow
143	C₂²×C₃×D₄	—	3	1	no	—
144	C₂³×C₃×C₄	—	6	1	no	—
145	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic
146	C₂²×C₄×D₃	—	2	1	no	—
147	C₂×C₃×SD₁₆	—	2	1	no	—
148	C₂×C₃×SD₁₆	—	3	1	no	—
149	C₂×C₃×SD₁₆	C₂×D₃	1	1	yes	characteristic
150	C₂×C₃×SD₁₆	C₂²×C₃	1	1	yes	characteristic
151	C₂×C₃×D₈	—	2	1	no	—
152	C₂×C₃×D₈	—	3	1	no	—
153	C₂×C₃×D₈	C₂×D₃	1	1	yes	characteristic
154	C₂×C₃×D₈	C₂²×C₃	1	1	yes	characteristic
155	C₃×#126	—	6	1	no	—
156	C₃×#125	—	3	1	no	—
157	C₃×#124	—	2	1	no	—
158	C₃×#124	C₂×D₃	1	1	yes	characteristic, complemented
159	C₃×#124	C₂²×C₃	1	1	yes	characteristic, complemented
160	C₃×#123	—	6	1	no	—
161	C₃×C₂²⋊Q₈	—	3	1	no	—
162	C₃×#121	—	3	1	no	—
163	C₃×C₄×Q₈	—	3	1	no	—
164	C₃×C₄×D₄	—	2	1	no	—
165	C₃×C₄×D₄	—	3	1	no	—
166	C₃×C₄×D₄	—	3	1	no	—
167	C₃×C₄×D₄	—	3	1	no	—
168	C₃×C₄×D₄	—	3	1	no	—
169	C₃×C₄×D₄	—	6	1	no	—
170	C₃×C₄×D₄	—	6	1	no	—
171	C₃×C₄×D₄	—	6	1	no	—
172	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
173	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
174	C₃×#117	—	6	1	no	—
175	C₂×C₃×C₄⋊C₄	—	3	1	no	—
176	C₂×C₃×C₂²⋊C₄	—	6	1	no	—
177	C₂×C₃×C₄²	—	3	1	no	—
178	#946	C₂²×C₃	1	1	yes	characteristic
179	Q₈×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
180	C₂×#215	C₂²×C₃	1	1	yes	characteristic
181	#938	C₂²×C₃	1	1	yes	characteristic
182	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
183	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
184	C₂×#213	C₂²×C₃	1	1	yes	characteristic
185	C₄×#67	—	2	1	no	—
186	#893	C₂²×C₃	1	1	yes	characteristic
187	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
188	#883	—	2	1	no	—
189	#67⋊C₄	—	2	1	no	—
190	#67⋊C₄	—	2	1	no	—
191	D₃×C₂²⋊C₄	—	2	1	no	—
192	#879	—	2	1	no	—
193	#877	—	2	1	no	—
194	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
195	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic
196	#870	C₂²×C₃	1	1	yes	characteristic, complemented
197	C₃×#107	—	3	1	no	—
198	C₃×#107	—	3	1	no	—
199	C₃×#106	—	3	1	no	—
200	C₃×#106	—	3	1	no	—
201	C₃×C₄⋊C₈	—	2	1	no	—
202	C₃×C₄⋊C₈	—	3	1	no	—
203	C₃×C₄⋊C₈	C₂×D₃	1	1	yes	characteristic, complemented
204	C₃×C₄⋊C₈	C₂²×C₃	1	1	yes	characteristic, complemented
205	C₃×#103	—	2	1	no	—
206	C₃×#103	—	3	1	no	—
207	C₃×#103	C₂×D₃	1	1	yes	characteristic, complemented
208	C₃×#103	C₂²×C₃	1	1	yes	characteristic, complemented
209	C₃×#102	—	2	1	no	—
210	C₃×#102	—	3	1	no	—
211	C₃×#102	—	3	1	no	—
212	C₃×#102	—	3	1	no	—
213	C₃×#102	—	3	1	no	—
214	C₃×#102	—	3	1	no	—
215	C₃×#102	C₂×D₃	1	1	yes	characteristic, complemented
216	C₃×#102	C₂²×C₃	1	1	yes	characteristic, complemented
217	C₃×C₂²⋊C₈	—	3	1	no	—
218	C₃×C₂²⋊C₈	—	3	1	no	—
219	C₃×C₄×C₈	—	3	1	no	—
220	C₃×C₄×C₈	—	3	1	no	—
221	#835	C₂²×C₃	1	1	yes	characteristic, complemented
222	#832	C₂²×C₃	1	1	yes	characteristic
223	#832	C₂²×C₃	1	1	yes	characteristic
224	#832	C₂²×C₃	1	1	yes	characteristic, complemented
225	#821	C₂²×C₃	1	1	yes	characteristic
226	#821	C₂²×C₃	1	1	yes	characteristic
227	(C₂×D₃)⋊C₈	C₂²×C₃	1	1	yes	characteristic
228	(C₂×D₃)⋊C₈	C₂²×C₃	1	1	yes	characteristic
229	#818	C₂²×C₃	1	1	yes	characteristic, complemented
230	#817	C₂²×C₃	1	1	yes	characteristic, complemented
231	C₈×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
232	C₈×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
233	#808	C₂²×C₃	1	1	yes	characteristic, complemented
234	#807	C₂²×C₃	1	1	yes	characteristic, complemented
235	C₄⋊(C₃⋊C₈)	C₂²×C₃	1	1	yes	characteristic, complemented
236	C₂³×C₃²	—	2	1	no	—
237	C₂³×C₃²	—	2	1	no	—
238	C₂²×C₃×D₃	—	2	4	no	—
239	C₂²×C₃×D₃	—	2	1	no	—
240	C₂²×C₃×D₃	—	4	2	no	—
241	C₂²×C₃×D₃	—	4	2	no	—
242	C₂²×C₃×D₃	C₂×D₄	1	1	yes	characteristic
243	C₃²×Q₈	—	2	1	no	—
244	C₃²×Q₈	—	2	1	no	—
245	C₃²×D₄	—	2	1	no	—
246	C₃²×D₄	—	2	1	no	—
247	C₃²×D₄	—	2	1	no	—
248	C₃²×D₄	#41	1	2	yes	—
249	C₂×C₃²×C₄	—	2	1	no	—
250	C₂×C₃²×C₄	—	2	1	no	—
251	C₂×C₃²×C₄	—	4	2	no	—
252	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
253	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
254	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
255	C₃×#67	—	2	4	no	—
256	C₃×#67	—	4	2	no	—
257	C₂×C₃×Dic₃	—	2	1	no	—
258	C₂×C₃×Dic₃	—	2	1	no	—
259	C₂×C₃×Dic₃	—	2	1	no	—
260	C₂×C₃×Dic₃	—	4	2	no	—
261	C₂×C₃×Dic₃	—	4	2	no	—
262	C₂×C₃×Dic₃	C₂×D₄	1	1	yes	characteristic
263	C₂×C₃×Dic₃	C₂×D₄	1	1	yes	characteristic
264	C₂×C₃×Dic₃	C₂×D₄	1	1	yes	characteristic
265	C₃×D₁₂	—	2	1	no	—
266	C₃×D₁₂	#41	1	2	yes	—
267	C₃×C₄×D₃	—	2	2	no	—
268	C₃×C₄×D₃	—	2	1	no	—
269	C₃×C₄×D₃	—	2	1	no	—
270	C₃×C₄×D₃	—	2	2	no	—
271	C₃×C₄×D₃	—	4	2	no	—
272	C₃×C₄×D₃	—	4	2	no	—
273	C₃×C₄×D₃	—	4	2	no	—
274	C₃²×C₈	—	2	1	no	—
275	C₃²×C₈	—	2	1	no	—
276	C₃×C₃⋊C₈	—	2	1	no	—
277	C₃×C₃⋊C₈	—	2	1	no	—
278	#529	—	3	1	no	—
279	C₂×C₄×D₄	—	3	1	no	—
280	#484	—	3	1	no	—
281	#481	—	3	1	no	—
282	#478	—	3	1	no	—
283	#478	—	3	1	no	—
284	#463	—	3	1	no	—
285	#463	C₃×D₃	1	1	yes	characteristic, complemented
286	#450	—	3	1	no	—
287	#447	—	3	1	no	—
288	C₄×SD₁₆	—	3	1	no	—
289	C₄×SD₁₆	—	3	1	no	—
290	C₄×D₈	—	3	1	no	—
291	C₄×D₈	—	3	1	no	—
292	#431	—	3	1	no	—
293	C₂⁴×C₃	—	6	1	no	—
294	C₂³×D₃	—	2	1	no	—
295	C₂×C₃×Q₈	—	2	1	no	—
296	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
297	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
298	C₂×C₃×D₄	—	2	1	no	—
299	C₂×C₃×D₄	—	2	1	no	—
300	C₂×C₃×D₄	—	3	1	no	—
301	C₂×C₃×D₄	—	6	1	no	—
302	C₂×C₃×D₄	—	6	2	no	—
303	C₂×C₃×D₄	—	6	2	no	—
304	C₂×C₃×D₄	—	6	1	no	—
305	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
306	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
307	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
308	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
309	C₂²×C₃×C₄	—	2	1	no	—
310	C₂²×C₃×C₄	—	2	1	no	—
311	C₂²×C₃×C₄	—	3	1	no	—
312	C₂²×C₃×C₄	—	3	1	no	—
313	C₂²×C₃×C₄	—	3	1	no	—
314	C₂²×C₃×C₄	—	4	1	no	—
315	C₂²×C₃×C₄	—	6	1	no	—
316	C₂²×C₃×C₄	—	6	1	no	—
317	C₂²×C₃×C₄	—	6	1	no	—
318	C₂²×C₃×C₄	—	6	1	no	—
319	C₂²×C₃×C₄	—	6	1	no	—
320	C₂²×C₃×C₄	—	12	4	no	—
321	C₂×#67	—	2	1	no	—
322	C₂×#67	—	2	1	no	—
323	C₂²×Dic₃	—	2	1	no	—
324	C₂²×Dic₃	—	2	1	no	—
325	D₃×D₄	—	2	2	no	—
326	D₃×D₄	—	2	2	no	—
327	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
328	C₂×C₄×D₃	—	2	1	no	—
329	C₂×C₄×D₃	—	2	1	no	—
330	C₂×C₄×D₃	—	2	1	no	—
331	C₂×C₄×D₃	—	4	4	no	—
332	C₂×C₄×D₃	C₃×D₄	1	1	yes	characteristic
333	C₂×C₄×D₃	C₃×D₄	1	1	yes	characteristic
334	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
335	C₃×SD₁₆	—	2	2	no	—
336	C₃×SD₁₆	—	2	2	no	—
337	C₃×SD₁₆	—	4	2	no	—
338	C₃×SD₁₆	—	6	2	no	—
339	C₃×D₈	—	2	2	no	—
340	C₃×D₈	—	2	2	no	—
341	C₃×D₈	—	4	2	no	—
342	C₃×D₈	—	6	2	no	—
343	C₂×C₃×C₈	—	2	1	no	—
344	C₂×C₃×C₈	—	2	1	no	—
345	C₂×C₃×C₈	—	3	1	no	—
346	C₂×C₃×C₈	—	3	1	no	—
347	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
348	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
349	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
350	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
351	C₃×C₄⋊C₄	—	2	1	no	—
352	C₃×C₄⋊C₄	—	3	1	no	—
353	C₃×C₄⋊C₄	—	3	1	no	—
354	C₃×C₄⋊C₄	—	3	1	no	—
355	C₃×C₄⋊C₄	—	6	1	no	—
356	C₃×C₄⋊C₄	—	6	1	no	—
357	C₃×C₄⋊C₄	—	6	1	no	—
358	C₃×C₄⋊C₄	—	6	1	no	—
359	C₃×C₄⋊C₄	—	6	1	no	—
360	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
361	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
362	C₃×C₂²⋊C₄	—	2	1	no	—
363	C₃×C₂²⋊C₄	—	2	1	no	—
364	C₃×C₂²⋊C₄	—	2	1	no	—
365	C₃×C₂²⋊C₄	—	2	1	no	—
366	C₃×C₂²⋊C₄	—	2	1	no	—
367	C₃×C₂²⋊C₄	—	2	1	no	—
368	C₃×C₂²⋊C₄	—	4	1	no	—
369	C₃×C₂²⋊C₄	—	4	1	no	—
370	C₃×C₂²⋊C₄	—	4	1	no	—
371	C₃×C₂²⋊C₄	—	6	1	no	—
372	C₃×C₂²⋊C₄	—	6	1	no	—
373	C₃×C₂²⋊C₄	—	6	1	no	—
374	C₃×C₂²⋊C₄	—	6	1	no	—
375	C₃×C₂²⋊C₄	—	6	1	no	—
376	C₃×C₂²⋊C₄	—	6	1	no	—
377	C₃×C₄²	—	2	1	no	—
378	C₃×C₄²	—	3	1	no	—
379	C₃×C₄²	—	3	1	no	—
380	C₃×C₄²	—	3	1	no	—
381	C₃×C₄²	—	6	1	no	—
382	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
383	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
384	#217	—	2	1	no	—
385	#217	—	2	1	no	—
386	#217	—	2	1	no	—
387	#215	—	2	2	no	—
388	#213	—	2	2	no	—
389	(C₂×D₃)⋊C₄	—	2	1	no	—
390	(C₂×D₃)⋊C₄	—	2	1	no	—
391	(C₂×D₃)⋊C₄	—	2	1	no	—
392	C₄⋊Dic₃	—	2	1	no	—
393	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
394	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
395	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
396	Dic₃⋊C₄	—	2	1	no	—
397	Dic₃⋊C₄	—	2	1	no	—
398	Dic₃⋊C₄	—	2	1	no	—
399	Dic₃⋊C₄	—	2	1	no	—
400	C₄×Dic₃	—	2	1	no	—
401	C₄×Dic₃	C₃×D₄	1	1	yes	characteristic
402	C₄×Dic₃	C₃×D₄	1	1	yes	characteristic
403	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
404	C₂×C₃⋊C₈	C₂³×C₃	1	1	yes	characteristic
405	C₂×C₃⋊C₈	C₂³×C₃	1	1	yes	characteristic
406	C₂²×C₃²	—	2	2	no	—
407	C₂²×C₃²	—	4	1	no	—
408	C₂²×C₃²	—	4	1	no	—
409	C₂²×C₃²	—	4	1	no	—
410	C₂²×C₃²	—	4	1	no	—
411	C₂²×C₃²	—	4	1	no	—
412	C₂²×C₃²	C₂²×D₄	1	1	yes	characteristic
413	C₂×C₃×D₃	—	2	1	no	—
414	C₂×C₃×D₃	—	2	1	no	—
415	C₂×C₃×D₃	—	2	2	no	—
416	C₂×C₃×D₃	—	4	8	no	—
417	C₂×C₃×D₃	—	4	1	no	—
418	C₂×C₃×D₃	—	4	1	no	—
419	C₂×C₃×D₃	#135	1	2	yes	—
420	C₃²×C₄	—	2	1	no	—
421	C₃²×C₄	—	2	1	no	—
422	C₃²×C₄	—	4	1	no	—
423	C₃²×C₄	—	4	1	no	—
424	C₃²×C₄	C₂×#41	1	1	yes	characteristic
425	C₃²×C₄	C₂×#41	1	1	yes	characteristic
426	C₃×Dic₃	—	2	1	no	—
427	C₃×Dic₃	—	2	1	no	—
428	C₃×Dic₃	—	4	1	no	—
429	C₃×Dic₃	—	4	1	no	—
430	C₃×Dic₃	—	4	1	no	—
431	C₃×Dic₃	AGL(1,ℤ/8)	1	2	yes	—
432	C₂²×D₄	—	3	1	no	—
433	C₂³×C₄	—	6	1	no	—
434	C₂×SD₁₆	—	3	1	no	—
435	C₂×SD₁₆	C₂×C₃×D₃	1	1	yes	characteristic
436	C₂×D₈	—	3	1	no	—
437	C₂×D₈	C₂×C₃×D₃	1	1	yes	characteristic
438	#126	—	6	1	no	—
439	#125	—	3	1	no	—
440	#124	C₂×C₃×D₃	1	1	yes	characteristic, complemented
441	#123	—	6	1	no	—
442	C₂²⋊Q₈	—	3	1	no	—
443	#121	—	3	1	no	—
444	C₄×Q₈	—	3	1	no	—
445	C₄×D₄	—	3	1	no	—
446	C₄×D₄	—	3	1	no	—
447	C₄×D₄	—	3	1	no	—
448	C₄×D₄	—	3	1	no	—
449	C₄×D₄	—	6	1	no	—
450	C₄×D₄	—	6	1	no	—
451	C₄×D₄	—	6	1	no	—
452	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
453	#117	—	6	1	no	—
454	C₂×C₄⋊C₄	—	3	1	no	—
455	C₂×C₂²⋊C₄	—	6	1	no	—
456	C₂×C₄²	—	3	1	no	—
457	#107	—	3	1	no	—
458	#107	—	3	1	no	—
459	#106	—	3	1	no	—
460	#106	—	3	1	no	—
461	C₄⋊C₈	—	3	1	no	—
462	C₄⋊C₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
463	#103	—	3	1	no	—
464	#103	C₂×C₃×D₃	1	1	yes	characteristic, complemented
465	#102	—	3	1	no	—
466	#102	—	3	1	no	—
467	#102	—	3	1	no	—
468	#102	—	3	1	no	—
469	#102	—	3	1	no	—
470	#102	C₂×C₃×D₃	1	1	yes	characteristic, complemented
471	C₂²⋊C₈	—	3	1	no	—
472	C₂²⋊C₈	—	3	1	no	—
473	C₄×C₈	—	3	1	no	—
474	C₄×C₈	—	3	1	no	—
475	C₂³×C₃	—	2	1	no	—
476	C₂³×C₃	—	2	1	no	—
477	C₂³×C₃	—	2	1	no	—
478	C₂³×C₃	—	2	1	no	—
479	C₂³×C₃	—	3	1	no	—
480	C₂³×C₃	—	4	1	no	—
481	C₂³×C₃	—	4	1	no	—
482	C₂³×C₃	—	6	4	no	—
483	C₂³×C₃	—	6	1	no	—
484	C₂³×C₃	—	12	2	no	—
485	C₂³×C₃	—	12	2	no	—
486	C₂²×D₃	—	2	4	no	—
487	C₂²×D₃	—	2	1	no	—
488	C₂²×D₃	—	4	2	no	—
489	C₂²×D₃	—	4	2	no	—
490	C₂²×D₃	C₂×C₃×D₄	1	1	yes	characteristic
491	C₃×Q₈	—	2	1	no	—
492	C₃×Q₈	—	2	1	no	—
493	C₃×Q₈	—	2	1	no	—
494	C₃×Q₈	—	2	1	no	—
495	C₃×Q₈	—	4	1	no	—
496	C₃×Q₈	—	4	1	no	—
497	C₃×D₄	—	2	1	no	—
498	C₃×D₄	—	2	1	no	—
499	C₃×D₄	—	2	1	no	—
500	C₃×D₄	—	2	1	no	—
501	C₃×D₄	—	2	1	no	—
502	C₃×D₄	—	2	1	no	—
503	C₃×D₄	—	2	2	no	—
504	C₃×D₄	—	3	2	no	—
505	C₃×D₄	—	4	1	no	—
506	C₃×D₄	—	4	1	no	—
507	C₃×D₄	—	4	1	no	—
508	C₃×D₄	—	6	4	no	—
509	C₃×D₄	—	6	1	no	—
510	C₃×D₄	—	12	2	no	—
511	C₃×D₄	#237	1	2	yes	—
512	C₃×D₄	C₃×#41	1	2	yes	—
513	C₂×C₃×C₄	—	2	1	no	—
514	C₂×C₃×C₄	—	2	1	no	—
515	C₂×C₃×C₄	—	2	1	no	—
516	C₂×C₃×C₄	—	2	1	no	—
517	C₂×C₃×C₄	—	2	1	no	—
518	C₂×C₃×C₄	—	2	1	no	—
519	C₂×C₃×C₄	—	2	1	no	—
520	C₂×C₃×C₄	—	3	1	no	—
521	C₂×C₃×C₄	—	3	1	no	—
522	C₂×C₃×C₄	—	3	1	no	—
523	C₂×C₃×C₄	—	4	1	no	—
524	C₂×C₃×C₄	—	4	1	no	—
525	C₂×C₃×C₄	—	4	2	no	—
526	C₂×C₃×C₄	—	4	2	no	—
527	C₂×C₃×C₄	—	6	2	no	—
528	C₂×C₃×C₄	—	6	2	no	—
529	C₂×C₃×C₄	—	6	1	no	—
530	C₂×C₃×C₄	—	6	1	no	—
531	C₂×C₃×C₄	—	6	1	no	—
532	C₂×C₃×C₄	—	6	1	no	—
533	C₂×C₃×C₄	—	6	1	no	—
534	C₂×C₃×C₄	—	8	2	no	—
535	C₂×C₃×C₄	—	12	2	no	—
536	C₂×C₃×C₄	—	12	2	no	—
537	C₂×C₃×C₄	—	12	2	no	—
538	C₂×C₃×C₄	—	12	2	no	—
539	C₂×C₃×C₄	—	12	2	no	—
540	C₂×C₃×C₄	D₃×D₄	1	1	yes	characteristic
541	C₂×C₃×C₄	D₃×D₄	1	1	yes	characteristic
542	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
543	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
544	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
545	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
546	#67	—	2	4	no	—
547	#67	—	4	2	no	—
548	C₂×Dic₃	—	2	1	no	—
549	C₂×Dic₃	—	2	1	no	—
550	C₂×Dic₃	—	2	1	no	—
551	C₂×Dic₃	—	4	2	no	—
552	C₂×Dic₃	—	4	2	no	—
553	C₂×Dic₃	C₂×C₃×D₄	1	1	yes	characteristic
554	C₂×Dic₃	C₂×C₃×D₄	1	1	yes	characteristic
555	C₂×Dic₃	C₂×C₃×D₄	1	1	yes	characteristic
556	D₁₂	—	2	1	no	—
557	D₁₂	C₃×#41	1	2	yes	—
558	C₄×D₃	—	2	2	no	—
559	C₄×D₃	—	2	1	no	—
560	C₄×D₃	—	2	1	no	—
561	C₄×D₃	—	2	2	no	—
562	C₄×D₃	—	4	2	no	—
563	C₄×D₃	—	4	2	no	—
564	C₄×D₃	—	4	2	no	—
565	C₃×C₈	—	2	1	no	—
566	C₃×C₈	—	2	1	no	—
567	C₃×C₈	—	2	1	no	—
568	C₃×C₈	—	2	1	no	—
569	C₃×C₈	—	4	1	no	—
570	C₃×C₈	—	4	1	no	—
571	C₃×C₈	—	6	1	no	—
572	C₃×C₈	—	6	1	no	—
573	C₃⋊C₈	—	2	1	no	—
574	C₃⋊C₈	—	2	1	no	—
575	C₂×C₃²	—	4	2	no	—
576	C₂×C₃²	—	8	1	no	—
577	C₂×C₃²	#525	1	1	yes	characteristic
578	C₂×C₃²	C₂×#135	1	1	yes	characteristic
579	C₂×C₃²	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
580	C₃×D₃	—	2	2	no	—
581	C₃×D₃	—	4	2	no	—
582	C₂⁴	—	6	1	no	—
583	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
584	C₂×D₄	—	3	1	no	—
585	C₂×D₄	—	6	1	no	—
586	C₂×D₄	—	6	2	no	—
587	C₂×D₄	—	6	2	no	—
588	C₂×D₄	—	6	1	no	—
589	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
590	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
591	C₂²×C₄	—	2	1	no	—
592	C₂²×C₄	—	3	1	no	—
593	C₂²×C₄	—	3	1	no	—
594	C₂²×C₄	—	3	1	no	—
595	C₂²×C₄	—	6	1	no	—
596	C₂²×C₄	—	6	1	no	—
597	C₂²×C₄	—	6	1	no	—
598	C₂²×C₄	—	6	1	no	—
599	C₂²×C₄	—	6	1	no	—
600	C₂²×C₄	—	12	4	no	—
601	SD₁₆	—	2	2	no	—
602	SD₁₆	—	6	2	no	—
603	D₈	—	2	2	no	—
604	D₈	—	6	2	no	—
605	C₂×C₈	—	3	1	no	—
606	C₂×C₈	—	3	1	no	—
607	C₂×C₈	C₂²×C₃×D₃	1	1	yes	characteristic
608	C₂×C₈	C₂²×C₃×D₃	1	1	yes	characteristic
609	C₄⋊C₄	—	3	1	no	—
610	C₄⋊C₄	—	3	1	no	—
611	C₄⋊C₄	—	3	1	no	—
612	C₄⋊C₄	—	6	1	no	—
613	C₄⋊C₄	—	6	1	no	—
614	C₄⋊C₄	—	6	1	no	—
615	C₄⋊C₄	—	6	1	no	—
616	C₄⋊C₄	—	6	1	no	—
617	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
618	C₂²⋊C₄	—	2	1	no	—
619	C₂²⋊C₄	—	2	1	no	—
620	C₂²⋊C₄	—	2	1	no	—
621	C₂²⋊C₄	—	6	1	no	—
622	C₂²⋊C₄	—	6	1	no	—
623	C₂²⋊C₄	—	6	1	no	—
624	C₂²⋊C₄	—	6	1	no	—
625	C₂²⋊C₄	—	6	1	no	—
626	C₂²⋊C₄	—	6	1	no	—
627	C₄²	—	3	1	no	—
628	C₄²	—	3	1	no	—
629	C₄²	—	3	1	no	—
630	C₄²	—	6	1	no	—
631	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
632	C₂²×C₃	—	2	2	no	—
633	C₂²×C₃	—	2	2	no	—
634	C₂²×C₃	—	2	1	no	—
635	C₂²×C₃	—	3	2	no	—
636	C₂²×C₃	—	4	2	no	—
637	C₂²×C₃	—	4	1	no	—
638	C₂²×C₃	—	4	1	no	—
639	C₂²×C₃	—	4	1	no	—
640	C₂²×C₃	—	4	1	no	—
641	C₂²×C₃	—	4	1	no	—
642	C₂²×C₃	—	4	1	no	—
643	C₂²×C₃	—	4	1	no	—
644	C₂²×C₃	—	4	1	no	—
645	C₂²×C₃	—	4	1	no	—
646	C₂²×C₃	—	4	1	no	—
647	C₂²×C₃	—	6	1	no	—
648	C₂²×C₃	—	6	1	no	—
649	C₂²×C₃	—	6	2	no	—
650	C₂²×C₃	—	8	1	no	—
651	C₂²×C₃	—	8	1	no	—
652	C₂²×C₃	—	8	1	no	—
653	C₂²×C₃	—	8	1	no	—
654	C₂²×C₃	—	8	1	no	—
655	C₂²×C₃	—	12	8	no	—
656	C₂²×C₃	—	12	1	no	—
657	C₂²×C₃	—	12	1	no	—
658	C₂²×C₃	C₂×D₃×D₄	1	1	yes	characteristic
659	C₂²×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
660	C₂×D₃	—	2	1	no	—
661	C₂×D₃	—	2	1	no	—
662	C₂×D₃	—	2	2	no	—
663	C₂×D₃	—	4	8	no	—
664	C₂×D₃	—	4	1	no	—
665	C₂×D₃	—	4	1	no	—
666	C₂×D₃	C₃×#135	1	2	yes	—
667	C₃×C₄	—	2	1	no	—
668	C₃×C₄	—	2	1	no	—
669	C₃×C₄	—	2	1	no	—
670	C₃×C₄	—	2	1	no	—
671	C₃×C₄	—	2	1	no	—
672	C₃×C₄	—	2	1	no	—
673	C₃×C₄	—	3	2	no	—
674	C₃×C₄	—	4	1	no	—
675	C₃×C₄	—	4	1	no	—
676	C₃×C₄	—	4	1	no	—
677	C₃×C₄	—	4	1	no	—
678	C₃×C₄	—	4	1	no	—
679	C₃×C₄	—	4	1	no	—
680	C₃×C₄	—	6	1	no	—
681	C₃×C₄	—	6	1	no	—
682	C₃×C₄	—	8	1	no	—
683	C₃×C₄	—	8	1	no	—
684	C₃×C₄	—	12	1	no	—
685	C₃×C₄	—	12	1	no	—
686	C₃×C₄	—	12	1	no	—
687	C₃×C₄	C₂×#237	1	1	yes	characteristic
688	C₃×C₄	D₃×#41	1	1	yes	characteristic
689	C₃×C₄	C₂×C₃×#41	1	1	yes	characteristic
690	C₃×C₄	C₂×C₃×#41	1	1	yes	characteristic
691	Dic₃	—	2	1	no	—
692	Dic₃	—	2	1	no	—
693	Dic₃	—	4	1	no	—
694	Dic₃	—	4	1	no	—
695	Dic₃	—	4	1	no	—
696	Dic₃	C₃×AGL(1,ℤ/8)	1	2	yes	—
697	C₃²	#3105	1	1	yes	characteristic, complemented, Sylow
698	C₂³	—	2	1	no	—
699	C₂³	—	2	1	no	—
700	C₂³	—	3	1	no	—
701	C₂³	—	6	4	no	—
702	C₂³	—	6	1	no	—
703	C₂³	—	12	2	no	—
704	C₂³	—	12	2	no	—
705	Q₈	—	2	1	no	—
706	Q₈	—	2	1	no	—
707	D₄	—	2	1	no	—
708	D₄	—	2	1	no	—
709	D₄	—	2	1	no	—
710	D₄	—	3	2	no	—
711	D₄	—	6	4	no	—
712	D₄	—	6	1	no	—
713	D₄	—	12	2	no	—
714	D₄	C₃×#237	1	2	yes	—
715	C₂×C₄	—	2	1	no	—
716	C₂×C₄	—	2	1	no	—
717	C₂×C₄	—	3	1	no	—
718	C₂×C₄	—	3	1	no	—
719	C₂×C₄	—	3	1	no	—
720	C₂×C₄	—	4	2	no	—
721	C₂×C₄	—	6	2	no	—
722	C₂×C₄	—	6	2	no	—
723	C₂×C₄	—	6	1	no	—
724	C₂×C₄	—	6	1	no	—
725	C₂×C₄	—	6	1	no	—
726	C₂×C₄	—	6	1	no	—
727	C₂×C₄	—	6	1	no	—
728	C₂×C₄	—	12	2	no	—
729	C₂×C₄	—	12	2	no	—
730	C₂×C₄	—	12	2	no	—
731	C₂×C₄	—	12	2	no	—
732	C₂×C₄	—	12	2	no	—
733	C₂×C₄	C₃×D₃×D₄	1	1	yes	characteristic
734	C₂×C₄	C₃×D₃×D₄	1	1	yes	characteristic
735	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
736	C₈	—	2	1	no	—
737	C₈	—	2	1	no	—
738	C₈	—	6	1	no	—
739	C₈	—	6	1	no	—
740	C₂×C₃	—	2	1	no	—
741	C₂×C₃	—	2	1	no	—
742	C₂×C₃	—	2	1	no	—
743	C₂×C₃	—	4	2	no	—
744	C₂×C₃	—	4	2	no	—
745	C₂×C₃	—	6	2	no	—
746	C₂×C₃	—	8	2	no	—
747	C₂×C₃	—	8	1	no	—
748	C₂×C₃	—	8	1	no	—
749	C₂×C₃	—	12	2	no	—
750	C₂×C₃	—	16	1	no	—
751	C₂×C₃	#5606	1	1	yes	characteristic
752	C₂×C₃	D₃×#135	1	1	yes	characteristic
753	C₂×C₃	D₃×AGL(1,ℤ/8)	1	1	yes	characteristic
754	C₂×C₃	C₃×#525	1	1	yes	characteristic
755	C₂×C₃	C₂×C₃×#135	1	1	yes	characteristic
756	C₂×C₃	C₂×C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
757	D₃	—	2	2	no	—
758	D₃	—	4	2	no	—
759	C₂²	—	2	2	no	—
760	C₂²	—	3	2	no	—
761	C₂²	—	4	1	no	—
762	C₂²	—	4	1	no	—
763	C₂²	—	4	1	no	—
764	C₂²	—	4	1	no	—
765	C₂²	—	4	1	no	—
766	C₂²	—	6	1	no	—
767	C₂²	—	6	1	no	—
768	C₂²	—	6	2	no	—
769	C₂²	—	12	8	no	—
770	C₂²	—	12	1	no	—
771	C₂²	—	12	1	no	—
772	C₂²	C₂×C₃×D₃×D₄	1	1	yes	characteristic
773	C₄	—	2	1	no	—
774	C₄	—	2	1	no	—
775	C₄	—	3	2	no	—
776	C₄	—	4	1	no	—
777	C₄	—	4	1	no	—
778	C₄	—	6	1	no	—
779	C₄	—	6	1	no	—
780	C₄	—	12	1	no	—
781	C₄	—	12	1	no	—
782	C₄	—	12	1	no	—
783	C₄	C₂×C₃×#237	1	1	yes	characteristic
784	C₄	C₃×D₃×#41	1	1	yes	characteristic
785	C₃	—	2	1	no	—
786	C₃	#80505	1	1	yes	characteristic, direct product factor
787	C₃	C₃×#3105	1	1	yes	characteristic, complemented
788	C₂	—	4	2	no	—
789	C₂	—	6	2	no	—
790	C₂	—	8	1	no	—
791	C₂	—	12	2	no	—
792	C₂	C₃×#5606	1	1	yes	characteristic
793	C₂	C₃×D₃×#135	1	1	yes	characteristic
794	C₂	C₃×D₃×AGL(1,ℤ/8)	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂×D₃×D₄
commutator, cosocle	C₂×C₃×C₄	C₂⁴×C₃
Frattini	C₂×C₄	C₂³×C₃×D₃
Fitting	C₃²×#463	C₂
socle	C₂²×C₃²	C₂²×D₄
prime radical	C₃×#5156	C₂
hypercenter	C₃×#463	D₃
hypocenter	C₃	C₃×#3105
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×C₄² ◁ C₃×#463

Complements

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

N	H ≅ G/N	type
1. C₃×#5680	C₂	semidirect
2. C₃×C₄×D₃×D₄	C₂	semidirect
3. C₃²×#463	C₂	semidirect
4. C₃×#5169	C₂	semidirect
5. C₃×Dic₃×SD₁₆	C₂	semidirect
7. C₃×Dic₃×D₈	C₂	semidirect
8. C₃×#5057	C₂	semidirect
9. C₃×#5009	C₂	semidirect
10. C₃×#4847	C₂	semidirect
11. C₃×#4833	C₂	semidirect
12. C₃×#4811	C₂	semidirect
13. C₃×#4788	C₂	semidirect
14. C₃×#4777	C₂	semidirect
15. C₃×#4756	C₂	semidirect
17. #80505	C₃	direct (N × H)
22. C₃²×#124	C₂²	semidirect
25. C₃×Q₈×Dic₃	C₂²	semidirect
29. C₃×D₄×Dic₃	C₂²	semidirect
42. C₃×#870	C₂²	semidirect
43. C₃²×C₄⋊C₈	C₂²	semidirect
44. C₃²×#103	C₂²	semidirect
45. C₃²×#102	C₂²	semidirect
46. C₃×#835	C₂²	semidirect
49. C₃×#832	C₂²	semidirect
54. C₃×#818	C₂²	semidirect
55. C₃×#817	C₂²	semidirect
56. C₃×C₈×Dic₃	C₂²	semidirect
57. C₃×C₈×Dic₃	C₂²	semidirect
58. C₃×#808	C₂²	semidirect
59. C₃×#807	C₂²	semidirect
60. C₃×C₄⋊(C₃⋊C₈)	C₂²	semidirect
63. #5680	C₂×C₃	semidirect
64. C₄×D₃×D₄	C₂×C₃	semidirect
71. C₃×#463	D₃	semidirect
72. C₃×#463	C₂×C₃	semidirect
80. #5169	C₂×C₃	semidirect
81. Dic₃×SD₁₆	C₂×C₃	semidirect
83. Dic₃×D₈	C₂×C₃	semidirect
84. #5057	C₂×C₃	semidirect
85. #5009	C₂×C₃	semidirect
86. #4847	C₂×C₃	semidirect
87. #4833	C₂×C₃	semidirect
88. #4811	C₂×C₃	semidirect
89. #4788	C₂×C₃	semidirect
90. #4777	C₂×C₃	semidirect
91. #4756	C₂×C₃	semidirect
158. C₃×#124	C₂×D₃	semidirect
159. C₃×#124	C₂²×C₃	semidirect
179. Q₈×Dic₃	C₂²×C₃	semidirect
183. D₄×Dic₃	C₂²×C₃	semidirect
196. #870	C₂²×C₃	semidirect
203. C₃×C₄⋊C₈	C₂×D₃	semidirect
204. C₃×C₄⋊C₈	C₂²×C₃	semidirect
207. C₃×#103	C₂×D₃	semidirect
208. C₃×#103	C₂²×C₃	semidirect
215. C₃×#102	C₂×D₃	semidirect
216. C₃×#102	C₂²×C₃	semidirect
221. #835	C₂²×C₃	semidirect
224. #832	C₂²×C₃	semidirect
229. #818	C₂²×C₃	semidirect
230. #817	C₂²×C₃	semidirect
231. C₈×Dic₃	C₂²×C₃	semidirect
232. C₈×Dic₃	C₂²×C₃	semidirect
233. #808	C₂²×C₃	semidirect
234. #807	C₂²×C₃	semidirect
235. C₄⋊(C₃⋊C₈)	C₂²×C₃	semidirect
285. #463	C₃×D₃	semidirect
440. #124	C₂×C₃×D₃	semidirect
462. C₄⋊C₈	C₂×C₃×D₃	semidirect
464. #103	C₂×C₃×D₃	semidirect
470. #102	C₂×C₃×D₃	semidirect
697. C₃²	#3105	semidirect
786. C₃	#80505	direct (N × H)
787. C₃	C₃×#3105	semidirect

Maximal subgroups

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

subgroup	index
C₃×#5680	2
C₃×C₄×D₃×D₄	2
C₃²×#463	2
C₃×#5169	2
C₃×Dic₃×SD₁₆	2
C₃×#5156	2
C₃×Dic₃×D₈	2
C₃×#5057	2
C₃×#5009	2
C₃×#4847	2
C₃×#4833	2
C₃×#4811	2
C₃×#4788	2
C₃×#4777	2
C₃×#4756	2
C₃×#3105	3
#80505	3

Subgroups — C3×#80505 #11870847

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#80505 #11870847