Subgroups — C₃×#86674 #11902754

Order 1152.

3442 conjugacy classes of subgroups.

The subgroup lattice has 1084 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×#547	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5829	C₂	1	2	yes	maximal, complemented
4	C₃×#5727	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5725	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5656	C₂	1	4	yes	maximal, complemented
7	C₃×#5654	C₂	1	4	yes	maximal, complemented
8	C₃×#5633	C₂	1	2	yes	maximal, complemented
9	C₃×#5627	C₂	1	2	yes	maximal, complemented
10	C₃×#5609	C₂	1	2	yes	maximal, complemented
11	C₃×#5596	C₂	1	2	yes	maximal, complemented
12	C₃×#5553	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×D₄×D₁₂	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×C₄×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×C₄×#237	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5507	C₂	1	2	yes	maximal, complemented
17	C₂×C₃×#893	C₂	1	2	yes	maximal, complemented
18	C₃×D₄×#41	—	3	1	no	maximal
19	#86674	C₃	1	1	yes	maximal, characteristic, direct product factor
20	C₂×C₃²×#41	C₂²	1	2	yes	complemented
21	C₃×D₃×#41	—	2	16	no	—
22	C₂×C₃×#239	C₂²	1	2	yes	complemented
23	C₂×C₃×D₃×Q₈	C₂²	1	2	yes	complemented
24	C₂×C₃×#237	C₂²	1	1	yes	characteristic
25	C₂×C₃×#237	C₂²	1	4	yes	complemented
26	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic
27	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
28	C₂×C₃×D₃×D₄	C₂²	1	4	yes	complemented
29	C₂×C₃×#235	C₂²	1	4	yes	complemented
30	C₂×C₃×#235	C₂²	1	2	yes	complemented
31	C₂²×C₃×D₁₂	C₂²	1	2	yes	—
32	C₂²×C₃×C₄×D₃	C₂²	1	4	yes	complemented
33	C₂²×C₃×C₄×D₃	C₂²	1	2	yes	complemented
34	C₃²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₃²×#123	C₂²	1	4	yes	complemented
36	C₃²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
37	C₃²×#121	C₂²	1	2	yes	complemented
38	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
39	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃²×C₄⋊C₄	C₂²	1	2	yes	complemented
41	C₃×#947	C₂²	1	2	yes	complemented
42	C₃×#946	C₂²	1	2	yes	complemented
43	C₃×#940	C₂²	1	2	yes	complemented
44	C₃×#939	C₂²	1	4	yes	complemented
45	C₃×#937	C₂²	1	4	yes	complemented
46	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
47	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
48	C₃×#930	C₂²	1	2	yes	complemented
49	C₃×#930	C₂²	1	2	yes	complemented
50	C₃×#929	C₂²	1	4	yes	complemented
51	C₃×C₄×#67	C₂²	1	2	yes	complemented
52	C₃×C₄×#67	C₂²	1	2	yes	complemented
53	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	4	yes	complemented
54	C₂×C₃×C₄×Dic₃	C₂²	1	2	yes	complemented
55	C₃×#896	C₂²	1	4	yes	complemented
56	C₃×#896	C₂²	1	4	yes	complemented
57	C₃×#895	C₂²	1	2	yes	complemented
58	C₃×#895	C₂²	1	2	yes	complemented
59	C₃×#895	C₂²	1	2	yes	complemented
60	C₃×#894	C₂²	1	4	yes	complemented
61	C₃×#893	C₂²	1	1	yes	characteristic
62	C₃×#893	C₂²	1	2	yes	—
63	C₃×#893	C₂²	1	2	yes	complemented
64	C₃×#893	C₂²	1	2	yes	complemented
65	C₃×#893	C₂²	1	4	yes	complemented
66	C₃×#893	C₂²	1	4	yes	complemented
67	C₃×#893	C₂²	1	2	yes	complemented
68	C₃×#892	C₂²	1	1	yes	characteristic, complemented
69	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
70	C₃×#888	C₂²	1	2	yes	complemented
71	C₃×#887	C₂²	1	1	yes	characteristic, complemented
72	C₃×#885	C₂²	1	4	yes	complemented
73	C₃×#884	C₂²	1	4	yes	complemented
74	C₃×#884	C₂²	1	4	yes	complemented
75	C₃×#882	C₂²	1	4	yes	complemented
76	C₃×#882	C₂²	1	4	yes	complemented
77	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
78	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
79	C₃×#67⋊C₄	C₂²	1	4	yes	complemented
80	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
81	C₃×#877	C₂²	1	2	yes	complemented
82	C₃×#874	C₂²	1	1	yes	characteristic, complemented
83	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
84	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic, complemented
85	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
86	C₂²×C₃×#41	—	3	2	no	—
87	C₂×D₃×#41	C₂×C₃	1	2	yes	complemented
88	C₃×#550	—	3	1	no	—
89	C₃×D₄×Q₈	—	3	1	no	—
90	C₃×#548	—	3	2	no	—
91	C₃×#547	—	2	1	no	—
92	C₃×#547	—	3	2	no	—
93	C₃×#547	D₃	1	1	yes	characteristic, complemented
94	C₃×#547	C₂×C₃	1	1	yes	characteristic, complemented
95	C₃×#546	—	3	2	no	—
96	C₃×#546	—	3	4	no	—
97	C₃×D₄²	—	3	2	no	—
98	C₃×D₄²	—	3	1	no	—
99	C₃×#532	—	3	1	no	—
100	C₃×#532	—	3	2	no	—
101	C₃×#525	—	3	4	no	—
102	C₃×#525	—	3	2	no	—
103	C₃×C₄×#41	—	3	1	no	—
104	C₂×C₃×C₄×D₄	—	3	1	no	—
105	C₂×C₃×C₄×D₄	—	3	2	no	—
106	#5829	C₂×C₃	1	2	yes	complemented
107	#5727	C₂×C₃	1	1	yes	characteristic, complemented
108	#5725	C₂×C₃	1	1	yes	characteristic, complemented
109	#5656	C₂×C₃	1	4	yes	complemented
110	#5654	C₂×C₃	1	4	yes	complemented
111	#5633	C₂×C₃	1	2	yes	complemented
112	#5627	C₂×C₃	1	2	yes	complemented
113	#5609	C₂×C₃	1	2	yes	complemented
114	#5596	C₂×C₃	1	2	yes	complemented
115	#5553	C₂×C₃	1	1	yes	characteristic, complemented
116	D₄×D₁₂	C₂×C₃	1	1	yes	characteristic, complemented
117	C₄×D₃×D₄	C₂×C₃	1	1	yes	characteristic, complemented
118	C₄×#237	C₂×C₃	1	1	yes	characteristic, complemented
119	#5507	C₂×C₃	1	2	yes	complemented
120	C₂×#893	C₂×C₃	1	2	yes	complemented
121	C₂³×C₃×D₃	C₂³	1	2	yes	—
122	C₂³×C₃×D₃	C₂³	1	4	yes	—
123	C₃²×#41	—	2	8	no	—
124	C₂×C₃²×Q₈	C₂³	1	2	yes	—
125	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
126	C₂×C₃²×D₄	C₂³	1	4	yes	—
127	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
128	C₂²×C₃²×C₄	C₂³	1	2	yes	—
129	C₂²×C₃²×C₄	C₂³	1	4	yes	—
130	C₂²×C₃²×C₄	C₂³	1	2	yes	—
131	C₂×C₃×#67	C₂³	1	2	yes	—
132	C₂×C₃×#67	C₂³	1	4	yes	—
133	C₂×C₃×#67	C₂³	1	4	yes	—
134	C₂×C₃×#67	C₂³	1	4	yes	—
135	C₂×C₃×#67	C₂³	1	2	yes	—
136	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
137	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
138	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
139	C₃×#239	—	2	8	no	—
140	C₃×D₃×Q₈	—	2	8	no	—
141	C₃×#237	—	2	16	no	—
142	C₃×#237	D₄	1	8	yes	complemented
143	C₃×D₃×D₄	—	2	8	no	—
144	C₃×D₃×D₄	—	2	16	no	—
145	C₃×D₃×D₄	—	2	4	no	—
146	C₃×#235	—	2	16	no	—
147	C₃×#235	—	2	8	no	—
148	C₂×C₃×D₁₂	—	2	8	no	—
149	C₂×C₃×D₁₂	C₂³	1	4	yes	—
150	C₂×C₃×D₁₂	C₂³	1	4	yes	—
151	C₂×C₃×D₁₂	C₂³	1	2	yes	—
152	C₂×C₃×D₁₂	C₂³	1	2	yes	—
153	C₂×C₃×D₁₂	C₂³	1	2	yes	—
154	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
155	C₂×C₃×C₄×D₃	—	2	16	no	—
156	C₂×C₃×C₄×D₃	—	2	8	no	—
157	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
158	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
159	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
160	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
161	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
162	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
163	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
164	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
165	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
166	C₂×C₃×Dic₆	C₂³	1	4	yes	—
167	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
168	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
169	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
170	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
171	C₃²×C₄⋊C₄	C₂³	1	4	yes	—
172	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
173	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
174	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
175	C₃²×C₂²⋊C₄	C₂³	1	4	yes	—
176	C₃²×C₄²	C₂³	1	1	yes	characteristic
177	C₃×#217	C₂³	1	2	yes	—
178	C₃×#217	C₂³	1	2	yes	—
179	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
180	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
181	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
182	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
183	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
184	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
185	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
186	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
187	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
188	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
189	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
190	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
191	C₃×Dic₃⋊C₄	C₂³	1	4	yes	—
192	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
193	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
194	C₃×C₄×Dic₃	C₂³	1	2	yes	—
195	C₃×C₄×Dic₃	C₂³	1	2	yes	—
196	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
197	C₃×C₄×Dic₃	C₂³	1	2	yes	—
198	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
199	D₄×#41	—	3	1	no	Sylow
200	C₂×C₃×#41	—	2	2	no	—
201	C₂×C₃×#41	—	3	2	no	—
202	C₂×C₃×#41	—	3	1	no	—
203	C₂×C₃×#41	—	3	4	no	—
204	C₂×C₃×#41	—	3	4	no	—
205	C₂×C₃×#41	—	3	2	no	—
206	C₂×C₃×#41	—	6	16	no	—
207	C₂×C₃×#41	C₂×D₃	1	2	yes	complemented
208	C₂×C₃×#41	C₂²×C₃	1	2	yes	complemented
209	C₂²×C₃×Q₈	—	3	2	no	—
210	C₂²×C₃×D₄	—	3	4	no	—
211	C₂²×C₃×D₄	—	3	2	no	—
212	C₂²×C₃×D₄	—	3	1	no	—
213	C₂²×C₃×D₄	—	3	2	no	—
214	C₂³×C₃×C₄	—	3	4	no	—
215	C₂³×C₃×C₄	—	3	2	no	—
216	D₃×#41	—	2	16	no	—
217	C₂×#239	C₂²×C₃	1	2	yes	complemented
218	C₂×D₃×Q₈	C₂²×C₃	1	2	yes	complemented
219	C₂×#237	C₂²×C₃	1	1	yes	characteristic
220	C₂×#237	C₂²×C₃	1	4	yes	complemented
221	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic
222	C₂×D₃×D₄	C₂²×C₃	1	4	yes	complemented
223	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
224	C₂×#235	C₂²×C₃	1	2	yes	complemented
225	C₂×#235	C₂²×C₃	1	4	yes	complemented
226	C₂²×D₁₂	C₂²×C₃	1	2	yes	—
227	C₂²×C₄×D₃	C₂²×C₃	1	4	yes	complemented
228	C₂²×C₄×D₃	C₂²×C₃	1	2	yes	complemented
229	C₃×C₄⋊Q₈	—	2	1	no	—
230	C₃×C₄⋊Q₈	—	3	2	no	—
231	C₃×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
232	C₃×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
233	C₃×#127	—	3	2	no	—
234	C₃×#127	—	3	1	no	—
235	C₃×#124	—	3	2	no	—
236	C₃×#124	—	3	4	no	—
237	C₃×#123	—	2	4	no	—
238	C₃×#123	—	3	4	no	—
239	C₃×#123	—	3	4	no	—
240	C₃×#123	C₂×D₃	1	4	yes	complemented
241	C₃×#123	C₂²×C₃	1	4	yes	complemented
242	C₃×C₂²⋊Q₈	—	2	2	no	—
243	C₃×C₂²⋊Q₈	—	3	2	no	—
244	C₃×C₂²⋊Q₈	—	3	4	no	—
245	C₃×C₂²⋊Q₈	—	3	4	no	—
246	C₃×C₂²⋊Q₈	C₂×D₃	1	2	yes	complemented
247	C₃×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
248	C₃×#121	—	2	2	no	—
249	C₃×#121	—	3	4	no	—
250	C₃×#121	—	3	2	no	—
251	C₃×#121	—	3	2	no	—
252	C₃×#121	—	3	2	no	—
253	C₃×#121	—	3	2	no	—
254	C₃×#121	—	3	2	no	—
255	C₃×#121	—	3	4	no	—
256	C₃×#121	—	3	4	no	—
257	C₃×#121	C₂×D₃	1	2	yes	complemented
258	C₃×#121	C₂²×C₃	1	2	yes	complemented
259	C₃×#120	—	3	4	no	—
260	C₃×#120	—	3	4	no	—
261	C₃×#120	—	3	4	no	—
262	C₃×C₄×Q₈	—	3	1	no	—
263	C₃×C₄×Q₈	—	3	1	no	—
264	C₃×C₄×D₄	—	2	1	no	—
265	C₃×C₄×D₄	—	2	1	no	—
266	C₃×C₄×D₄	—	3	1	no	—
267	C₃×C₄×D₄	—	3	1	no	—
268	C₃×C₄×D₄	—	3	2	no	—
269	C₃×C₄×D₄	—	3	2	no	—
270	C₃×C₄×D₄	—	3	1	no	—
271	C₃×C₄×D₄	—	3	2	no	—
272	C₃×C₄×D₄	—	3	4	no	—
273	C₃×C₄×D₄	—	3	2	no	—
274	C₃×C₄×D₄	—	3	4	no	—
275	C₃×C₄×D₄	—	3	2	no	—
276	C₃×C₄×D₄	—	3	2	no	—
277	C₃×C₄×D₄	—	3	2	no	—
278	C₃×C₄×D₄	—	3	2	no	—
279	C₃×C₄×D₄	—	3	4	no	—
280	C₃×C₄×D₄	—	3	1	no	—
281	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
282	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
283	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
284	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
285	C₃×#117	—	3	1	no	—
286	C₃×#117	—	3	2	no	—
287	C₂×C₃×C₄⋊C₄	—	2	2	no	—
288	C₂×C₃×C₄⋊C₄	—	3	1	no	—
289	C₂×C₃×C₄⋊C₄	C₂×D₃	1	2	yes	complemented
290	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
291	C₂×C₃×C₂²⋊C₄	—	3	4	no	—
292	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
293	C₂×C₃×C₄²	—	3	2	no	—
294	C₂×C₃×C₄²	—	3	1	no	—
295	#947	C₂²×C₃	1	2	yes	complemented
296	#946	C₂²×C₃	1	2	yes	complemented
297	#940	C₂²×C₃	1	2	yes	complemented
298	#939	C₂²×C₃	1	4	yes	complemented
299	#937	C₂²×C₃	1	4	yes	complemented
300	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
301	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
302	#930	C₂²×C₃	1	2	yes	complemented
303	#930	C₂²×C₃	1	2	yes	complemented
304	#929	C₂²×C₃	1	4	yes	complemented
305	C₄×#67	C₂²×C₃	1	2	yes	complemented
306	C₄×#67	C₂²×C₃	1	2	yes	complemented
307	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	4	yes	complemented
308	C₂×C₄×Dic₃	C₂²×C₃	1	2	yes	complemented
309	#896	C₂²×C₃	1	4	yes	complemented
310	#896	C₂²×C₃	1	4	yes	complemented
311	#895	C₂²×C₃	1	2	yes	complemented
312	#895	C₂²×C₃	1	2	yes	complemented
313	#895	C₂²×C₃	1	2	yes	complemented
314	#894	C₂²×C₃	1	4	yes	complemented
315	#893	C₂²×C₃	1	2	yes	—
316	#893	C₂²×C₃	1	1	yes	characteristic
317	#893	C₂²×C₃	1	4	yes	complemented
318	#893	C₂²×C₃	1	2	yes	complemented
319	#893	C₂²×C₃	1	4	yes	complemented
320	#893	C₂²×C₃	1	2	yes	complemented
321	#893	C₂²×C₃	1	2	yes	complemented
322	#892	C₂²×C₃	1	1	yes	characteristic, complemented
323	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
324	#888	C₂²×C₃	1	2	yes	complemented
325	#887	C₂²×C₃	1	1	yes	characteristic, complemented
326	#885	C₂²×C₃	1	4	yes	complemented
327	#884	C₂²×C₃	1	4	yes	complemented
328	#884	C₂²×C₃	1	4	yes	complemented
329	#882	C₂²×C₃	1	4	yes	complemented
330	#882	C₂²×C₃	1	4	yes	complemented
331	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
332	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
333	#67⋊C₄	C₂²×C₃	1	4	yes	complemented
334	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
335	#877	C₂²×C₃	1	2	yes	complemented
336	#874	C₂²×C₃	1	1	yes	characteristic, complemented
337	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
338	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
339	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
340	C₂³×C₃²	C₂⁴	1	2	yes	—
341	C₂³×C₃²	C₂⁴	1	2	yes	—
342	C₂²×C₃×D₃	—	2	8	no	—
343	C₂²×C₃×D₃	—	2	4	no	—
344	C₂²×C₃×D₃	—	2	8	no	—
345	C₂²×C₃×D₃	—	2	4	no	—
346	C₂²×C₃×D₃	—	4	2	no	—
347	C₂²×C₃×D₃	—	4	4	no	—
348	C₂²×C₃×D₃	C₂⁴	1	4	yes	—
349	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
350	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
351	C₃²×Q₈	—	2	4	no	—
352	C₃²×D₄	—	2	8	no	—
353	C₃²×D₄	—	2	2	no	—
354	C₃²×D₄	C₂×D₄	1	4	yes	complemented
355	C₂×C₃²×C₄	—	2	8	no	—
356	C₂×C₃²×C₄	—	2	4	no	—
357	C₂×C₃²×C₄	—	2	4	no	—
358	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
359	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
360	C₂×C₃²×C₄	C₂⁴	1	4	yes	—
361	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
362	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
363	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
364	C₃×#67	—	2	8	no	—
365	C₃×#67	—	2	4	no	—
366	C₃×#67	—	2	8	no	—
367	C₃×#67	—	4	4	no	—
368	C₃×#67	C₂×D₄	1	8	yes	complemented
369	C₂×C₃×Dic₃	—	2	4	no	—
370	C₂×C₃×Dic₃	—	4	2	no	—
371	C₂×C₃×Dic₃	C₂×D₄	1	8	yes	complemented
372	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
373	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
375	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
376	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
377	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
378	C₃×D₁₂	—	2	8	no	—
379	C₃×D₁₂	—	2	8	no	—
380	C₃×D₁₂	—	2	4	no	—
381	C₃×D₁₂	—	2	4	no	—
382	C₃×D₁₂	—	4	2	no	—
383	C₃×D₁₂	#41	1	4	yes	complemented
384	C₃×C₄×D₃	—	2	4	no	—
385	C₃×C₄×D₃	—	2	4	no	—
386	C₃×C₄×D₃	—	2	2	no	—
387	C₃×C₄×D₃	—	2	4	no	—
388	C₃×C₄×D₃	—	2	8	no	—
389	C₃×C₄×D₃	—	2	8	no	—
390	C₃×C₄×D₃	—	2	8	no	—
391	C₃×C₄×D₃	—	4	1	no	—
392	C₃×C₄×D₃	C₂×D₄	1	4	yes	complemented
393	C₃×Dic₆	—	2	8	no	—
394	C₃×Dic₆	C₂×D₄	1	4	yes	complemented
395	C₂²×#41	—	3	2	no	—
396	#550	—	3	1	no	—
397	D₄×Q₈	—	3	1	no	—
398	#548	—	3	2	no	—
399	#547	—	3	2	no	—
400	#547	C₃×D₃	1	1	yes	characteristic, complemented
401	#546	—	3	2	no	—
402	#546	—	3	4	no	—
403	D₄²	—	3	2	no	—
404	D₄²	—	3	1	no	—
405	#532	—	3	1	no	—
406	#532	—	3	2	no	—
407	#525	—	3	4	no	—
408	#525	—	3	2	no	—
409	C₄×#41	—	3	1	no	—
410	C₂×C₄×D₄	—	3	1	no	—
411	C₂×C₄×D₄	—	3	2	no	—
412	C₂⁴×C₃	—	3	2	no	—
413	C₂⁴×C₃	—	3	4	no	—
414	C₂³×D₃	C₂³×C₃	1	2	yes	—
415	C₂³×D₃	C₂³×C₃	1	4	yes	—
416	C₃×#41	—	2	8	no	—
417	C₃×#41	—	2	8	no	—
418	C₃×#41	—	3	8	no	—
419	C₃×#41	—	4	8	no	—
420	C₃×#41	—	6	16	no	—
421	C₃×#41	—	6	8	no	—
422	C₃×#41	—	6	16	no	—
423	C₃×#41	—	6	8	no	—
424	C₂×C₃×Q₈	—	2	2	no	—
425	C₂×C₃×Q₈	—	3	1	no	—
426	C₂×C₃×Q₈	—	3	4	no	—
427	C₂×C₃×Q₈	—	6	8	no	—
428	C₂×C₃×Q₈	C₂²×D₃	1	2	yes	—
429	C₂×C₃×Q₈	C₂³×C₃	1	2	yes	—
430	C₂×C₃×D₄	—	2	1	no	—
431	C₂×C₃×D₄	—	2	1	no	—
432	C₂×C₃×D₄	—	2	4	no	—
433	C₂×C₃×D₄	—	3	2	no	—
434	C₂×C₃×D₄	—	3	2	no	—
435	C₂×C₃×D₄	—	3	4	no	—
436	C₂×C₃×D₄	—	3	4	no	—
437	C₂×C₃×D₄	—	3	4	no	—
438	C₂×C₃×D₄	—	3	1	no	—
439	C₂×C₃×D₄	—	3	4	no	—
440	C₂×C₃×D₄	—	3	2	no	—
441	C₂×C₃×D₄	—	3	4	no	—
442	C₂×C₃×D₄	—	3	2	no	—
443	C₂×C₃×D₄	—	3	2	no	—
444	C₂×C₃×D₄	—	6	8	no	—
445	C₂×C₃×D₄	—	6	4	no	—
446	C₂×C₃×D₄	—	6	16	no	—
447	C₂×C₃×D₄	—	6	8	no	—
448	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
449	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
450	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
451	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
452	C₂×C₃×D₄	C₂³×C₃	1	4	yes	—
453	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
454	C₂²×C₃×C₄	—	2	2	no	—
455	C₂²×C₃×C₄	—	2	4	no	—
456	C₂²×C₃×C₄	—	2	2	no	—
457	C₂²×C₃×C₄	—	3	2	no	—
458	C₂²×C₃×C₄	—	3	1	no	—
459	C₂²×C₃×C₄	—	3	2	no	—
460	C₂²×C₃×C₄	—	3	2	no	—
461	C₂²×C₃×C₄	—	3	1	no	—
462	C₂²×C₃×C₄	—	3	2	no	—
463	C₂²×C₃×C₄	—	3	2	no	—
464	C₂²×C₃×C₄	—	3	4	no	—
465	C₂²×C₃×C₄	—	3	4	no	—
466	C₂²×C₃×C₄	—	3	2	no	—
467	C₂²×C₃×C₄	—	3	4	no	—
468	C₂²×C₃×C₄	—	3	1	no	—
469	C₂²×C₃×C₄	—	6	16	no	—
470	C₂²×C₃×C₄	—	6	8	no	—
471	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
472	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
473	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
474	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
475	C₂²×C₃×C₄	C₂³×C₃	1	4	yes	—
476	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
477	C₂×#67	C₂³×C₃	1	2	yes	—
478	C₂×#67	C₂³×C₃	1	4	yes	—
479	C₂×#67	C₂³×C₃	1	4	yes	—
480	C₂×#67	C₂³×C₃	1	4	yes	—
481	C₂×#67	C₂³×C₃	1	2	yes	—
482	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
483	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
484	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
485	#239	—	2	8	no	—
486	D₃×Q₈	—	2	8	no	—
487	#237	—	2	16	no	—
488	#237	C₃×D₄	1	8	yes	complemented
489	D₃×D₄	—	2	8	no	—
490	D₃×D₄	—	2	16	no	—
491	D₃×D₄	—	2	4	no	—
492	#235	—	2	16	no	—
493	#235	—	2	8	no	—
494	C₂×D₁₂	—	2	8	no	—
495	C₂×D₁₂	C₂³×C₃	1	2	yes	—
496	C₂×D₁₂	C₂³×C₃	1	2	yes	—
497	C₂×D₁₂	C₂³×C₃	1	4	yes	—
498	C₂×D₁₂	C₂³×C₃	1	4	yes	—
499	C₂×D₁₂	C₂³×C₃	1	2	yes	—
500	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
501	C₂×C₄×D₃	—	2	16	no	—
502	C₂×C₄×D₃	—	2	8	no	—
503	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
504	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
505	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
506	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
507	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
508	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
509	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
510	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
511	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
512	C₂×Dic₆	C₂³×C₃	1	4	yes	—
513	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
514	C₃×C₄⋊C₄	—	2	1	no	—
515	C₃×C₄⋊C₄	—	2	2	no	—
516	C₃×C₄⋊C₄	—	2	4	no	—
517	C₃×C₄⋊C₄	—	2	1	no	—
518	C₃×C₄⋊C₄	—	2	2	no	—
519	C₃×C₄⋊C₄	—	3	2	no	—
520	C₃×C₄⋊C₄	—	3	2	no	—
521	C₃×C₄⋊C₄	—	3	2	no	—
522	C₃×C₄⋊C₄	—	3	4	no	—
523	C₃×C₄⋊C₄	—	3	1	no	—
524	C₃×C₄⋊C₄	—	3	1	no	—
525	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
526	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
527	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
528	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
529	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
530	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
531	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
532	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
533	C₃×C₄⋊C₄	C₂³×C₃	1	4	yes	—
534	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
535	C₃×C₂²⋊C₄	—	2	2	no	—
536	C₃×C₂²⋊C₄	—	2	2	no	—
537	C₃×C₂²⋊C₄	—	2	4	no	—
538	C₃×C₂²⋊C₄	—	3	2	no	—
539	C₃×C₂²⋊C₄	—	3	2	no	—
540	C₃×C₂²⋊C₄	—	3	2	no	—
541	C₃×C₂²⋊C₄	—	3	4	no	—
542	C₃×C₂²⋊C₄	—	3	2	no	—
543	C₃×C₂²⋊C₄	—	3	4	no	—
544	C₃×C₂²⋊C₄	—	3	4	no	—
545	C₃×C₂²⋊C₄	—	3	2	no	—
546	C₃×C₂²⋊C₄	—	3	4	no	—
547	C₃×C₂²⋊C₄	—	3	4	no	—
548	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
549	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
550	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
551	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
552	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
553	C₃×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
554	C₃×C₄²	—	2	1	no	—
555	C₃×C₄²	—	3	1	no	—
556	C₃×C₄²	—	3	2	no	—
557	C₃×C₄²	—	3	1	no	—
558	C₃×C₄²	—	3	2	no	—
559	C₃×C₄²	—	3	1	no	—
560	C₃×C₄²	—	3	2	no	—
561	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
562	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
563	#217	C₂³×C₃	1	2	yes	—
564	#217	C₂³×C₃	1	2	yes	—
565	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
566	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
567	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
568	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
569	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
570	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
571	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
572	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
573	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
574	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
575	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
576	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
577	Dic₃⋊C₄	C₂³×C₃	1	4	yes	—
578	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
579	C₄×Dic₃	C₂³×C₃	1	2	yes	—
580	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
581	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
582	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
583	C₄×Dic₃	C₂³×C₃	1	2	yes	—
584	C₄×Dic₃	C₂³×C₃	1	2	yes	—
585	C₂²×C₃²	—	2	2	no	—
586	C₂²×C₃²	—	2	2	no	—
587	C₂²×C₃²	—	2	2	no	—
588	C₂²×C₃²	—	2	2	no	—
589	C₂²×C₃²	—	2	2	no	—
590	C₂²×C₃²	C₂²×D₄	1	4	yes	—
591	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
592	C₂×C₃×D₃	—	2	2	no	—
593	C₂×C₃×D₃	—	2	1	no	—
594	C₂×C₃×D₃	—	2	1	no	—
595	C₂×C₃×D₃	—	2	2	no	—
596	C₂×C₃×D₃	—	2	4	no	—
597	C₂×C₃×D₃	—	2	4	no	—
598	C₂×C₃×D₃	—	2	4	no	—
599	C₂×C₃×D₃	—	4	8	no	—
600	C₂×C₃×D₃	—	4	16	no	—
601	C₂×C₃×D₃	C₂²×D₄	1	2	yes	—
602	C₂×C₃×D₃	C₂×#41	1	4	yes	complemented
603	C₃²×C₄	—	2	4	no	—
604	C₃²×C₄	—	2	2	no	—
605	C₃²×C₄	—	2	2	no	—
606	C₃²×C₄	—	2	1	no	—
607	C₃²×C₄	C₂²×D₄	1	2	yes	—
608	C₃²×C₄	C₂×#41	1	2	yes	complemented
609	C₃×Dic₃	—	2	2	no	—
610	C₃×Dic₃	—	2	1	no	—
611	C₃×Dic₃	—	2	1	no	—
612	C₃×Dic₃	—	2	2	no	—
613	C₃×Dic₃	C₂²×D₄	1	4	yes	—
614	C₃×Dic₃	C₂²×D₄	1	2	yes	—
615	C₂×#41	—	3	2	no	—
616	C₂×#41	—	3	1	no	—
617	C₂×#41	—	3	4	no	—
618	C₂×#41	—	3	4	no	—
619	C₂×#41	—	3	2	no	—
620	C₂×#41	—	6	16	no	—
621	C₂×#41	C₂×C₃×D₃	1	2	yes	complemented
622	C₂²×Q₈	—	3	2	no	—
623	C₂²×D₄	—	3	1	no	—
624	C₂²×D₄	—	3	4	no	—
625	C₂²×D₄	—	3	2	no	—
626	C₂²×D₄	—	3	2	no	—
627	C₂³×C₄	—	3	4	no	—
628	C₂³×C₄	—	3	2	no	—
629	C₄⋊Q₈	—	3	2	no	—
630	C₄⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
631	#127	—	3	2	no	—
632	#127	—	3	1	no	—
633	#124	—	3	2	no	—
634	#124	—	3	4	no	—
635	#123	—	3	4	no	—
636	#123	—	3	4	no	—
637	#123	C₂×C₃×D₃	1	4	yes	complemented
638	C₂²⋊Q₈	—	3	2	no	—
639	C₂²⋊Q₈	—	3	4	no	—
640	C₂²⋊Q₈	—	3	4	no	—
641	C₂²⋊Q₈	C₂×C₃×D₃	1	2	yes	complemented
642	#121	—	3	4	no	—
643	#121	—	3	2	no	—
644	#121	—	3	2	no	—
645	#121	—	3	2	no	—
646	#121	—	3	2	no	—
647	#121	—	3	2	no	—
648	#121	—	3	4	no	—
649	#121	—	3	4	no	—
650	#121	C₂×C₃×D₃	1	2	yes	complemented
651	#120	—	3	4	no	—
652	#120	—	3	4	no	—
653	#120	—	3	4	no	—
654	C₄×Q₈	—	3	1	no	—
655	C₄×Q₈	—	3	1	no	—
656	C₄×D₄	—	3	1	no	—
657	C₄×D₄	—	3	1	no	—
658	C₄×D₄	—	3	2	no	—
659	C₄×D₄	—	3	2	no	—
660	C₄×D₄	—	3	1	no	—
661	C₄×D₄	—	3	4	no	—
662	C₄×D₄	—	3	2	no	—
663	C₄×D₄	—	3	2	no	—
664	C₄×D₄	—	3	4	no	—
665	C₄×D₄	—	3	2	no	—
666	C₄×D₄	—	3	2	no	—
667	C₄×D₄	—	3	2	no	—
668	C₄×D₄	—	3	2	no	—
669	C₄×D₄	—	3	4	no	—
670	C₄×D₄	—	3	1	no	—
671	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
672	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
673	#117	—	3	1	no	—
674	#117	—	3	2	no	—
675	C₂×C₄⋊C₄	—	3	1	no	—
676	C₂×C₄⋊C₄	C₂×C₃×D₃	1	2	yes	complemented
677	C₂×C₂²⋊C₄	—	3	4	no	—
678	C₂×C₂²⋊C₄	—	3	2	no	—
679	C₂×C₄²	—	3	2	no	—
680	C₂×C₄²	—	3	1	no	—
681	C₂³×C₃	—	2	2	no	—
682	C₂³×C₃	—	2	2	no	—
683	C₂³×C₃	—	3	2	no	—
684	C₂³×C₃	—	3	1	no	—
685	C₂³×C₃	—	3	4	no	—
686	C₂³×C₃	—	6	4	no	—
687	C₂³×C₃	—	6	8	no	—
688	C₂³×C₃	—	6	4	no	—
689	C₂³×C₃	—	6	8	no	—
690	C₂³×C₃	—	12	4	no	—
691	C₂³×C₃	—	12	2	no	—
692	C₂³×C₃	C₂³×D₃	1	2	yes	—
693	C₂³×C₃	C₂³×D₃	1	2	yes	—
694	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
695	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
696	C₂²×D₃	—	2	8	no	—
697	C₂²×D₃	—	2	4	no	—
698	C₂²×D₃	—	2	8	no	—
699	C₂²×D₃	—	2	4	no	—
700	C₂²×D₃	—	4	2	no	—
701	C₂²×D₃	—	4	4	no	—
702	C₂²×D₃	C₂⁴×C₃	1	4	yes	—
703	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
704	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
705	C₃×Q₈	—	2	4	no	—
706	C₃×Q₈	—	2	4	no	—
707	C₃×Q₈	—	3	4	no	—
708	C₃×Q₈	—	4	4	no	—
709	C₃×Q₈	—	6	8	no	—
710	C₃×D₄	—	2	8	no	—
711	C₃×D₄	—	2	8	no	—
712	C₃×D₄	—	2	2	no	—
713	C₃×D₄	—	2	2	no	—
714	C₃×D₄	—	2	4	no	—
715	C₃×D₄	—	3	8	no	—
716	C₃×D₄	—	3	4	no	—
717	C₃×D₄	—	4	2	no	—
718	C₃×D₄	—	4	8	no	—
719	C₃×D₄	—	6	8	no	—
720	C₃×D₄	—	6	8	no	—
721	C₃×D₄	—	6	8	no	—
722	C₃×D₄	—	6	4	no	—
723	C₃×D₄	—	6	8	no	—
724	C₃×D₄	—	6	4	no	—
725	C₃×D₄	—	6	4	no	—
726	C₃×D₄	—	12	2	no	—
727	C₃×D₄	—	12	4	no	—
728	C₃×D₄	D₃×D₄	1	4	yes	complemented
729	C₃×D₄	C₂×C₃×D₄	1	4	yes	complemented
730	C₂×C₃×C₄	—	2	8	no	—
731	C₂×C₃×C₄	—	2	8	no	—
732	C₂×C₃×C₄	—	2	4	no	—
733	C₂×C₃×C₄	—	2	4	no	—
734	C₂×C₃×C₄	—	2	4	no	—
735	C₂×C₃×C₄	—	2	4	no	—
736	C₂×C₃×C₄	—	2	1	no	—
737	C₂×C₃×C₄	—	2	1	no	—
738	C₂×C₃×C₄	—	2	1	no	—
739	C₂×C₃×C₄	—	2	2	no	—
740	C₂×C₃×C₄	—	2	2	no	—
741	C₂×C₃×C₄	—	2	4	no	—
742	C₂×C₃×C₄	—	3	8	no	—
743	C₂×C₃×C₄	—	3	1	no	—
744	C₂×C₃×C₄	—	3	2	no	—
745	C₂×C₃×C₄	—	3	4	no	—
746	C₂×C₃×C₄	—	3	1	no	—
747	C₂×C₃×C₄	—	3	1	no	—
748	C₂×C₃×C₄	—	3	2	no	—
749	C₂×C₃×C₄	—	3	2	no	—
750	C₂×C₃×C₄	—	4	4	no	—
751	C₂×C₃×C₄	—	4	4	no	—
752	C₂×C₃×C₄	—	4	8	no	—
753	C₂×C₃×C₄	—	6	4	no	—
754	C₂×C₃×C₄	—	6	8	no	—
755	C₂×C₃×C₄	—	6	8	no	—
756	C₂×C₃×C₄	—	6	8	no	—
757	C₂×C₃×C₄	—	6	4	no	—
758	C₂×C₃×C₄	—	6	4	no	—
759	C₂×C₃×C₄	—	6	4	no	—
760	C₂×C₃×C₄	—	6	2	no	—
761	C₂×C₃×C₄	—	12	1	no	—
762	C₂×C₃×C₄	—	12	2	no	—
763	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
764	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
765	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
766	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
767	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
768	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
769	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
770	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
771	C₂×C₃×C₄	C₂⁴×C₃	1	4	yes	—
772	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
773	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
774	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
775	#67	—	2	8	no	—
776	#67	—	2	4	no	—
777	#67	—	2	8	no	—
778	#67	—	4	4	no	—
779	#67	C₂×C₃×D₄	1	8	yes	complemented
780	C₂×Dic₃	—	2	4	no	—
781	C₂×Dic₃	—	4	2	no	—
782	C₂×Dic₃	C₂×C₃×D₄	1	8	yes	complemented
783	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
784	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
785	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
786	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
787	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
788	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
789	D₁₂	—	2	8	no	—
790	D₁₂	—	2	8	no	—
791	D₁₂	—	2	4	no	—
792	D₁₂	—	2	4	no	—
793	D₁₂	—	4	2	no	—
794	D₁₂	C₃×#41	1	4	yes	complemented
795	C₄×D₃	—	2	4	no	—
796	C₄×D₃	—	2	4	no	—
797	C₄×D₃	—	2	2	no	—
798	C₄×D₃	—	2	4	no	—
799	C₄×D₃	—	2	8	no	—
800	C₄×D₃	—	2	8	no	—
801	C₄×D₃	—	2	8	no	—
802	C₄×D₃	—	4	1	no	—
803	C₄×D₃	C₂×C₃×D₄	1	4	yes	complemented
804	Dic₆	—	2	8	no	—
805	Dic₆	C₂×C₃×D₄	1	4	yes	complemented
806	C₂×C₃²	—	2	4	no	—
807	C₂×C₃²	—	4	2	no	—
808	C₂×C₃²	C₂³×D₄	1	1	yes	characteristic
809	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
810	C₂×C₃²	#585	1	1	yes	characteristic
811	C₃×D₃	—	2	4	no	—
812	C₃×D₃	—	2	2	no	—
813	C₃×D₃	—	4	4	no	—
814	C₂⁴	—	3	2	no	—
815	C₂⁴	—	3	4	no	—
816	#41	—	2	8	no	—
817	#41	—	3	8	no	—
818	#41	—	6	16	no	—
819	#41	—	6	8	no	—
820	#41	—	6	16	no	—
821	#41	—	6	8	no	—
822	C₂×Q₈	—	3	1	no	—
823	C₂×Q₈	—	3	4	no	—
824	C₂×Q₈	—	6	8	no	—
825	C₂×Q₈	C₂²×C₃×D₃	1	2	yes	—
826	C₂×D₄	—	3	2	no	—
827	C₂×D₄	—	3	2	no	—
828	C₂×D₄	—	3	4	no	—
829	C₂×D₄	—	3	4	no	—
830	C₂×D₄	—	3	4	no	—
831	C₂×D₄	—	3	1	no	—
832	C₂×D₄	—	3	4	no	—
833	C₂×D₄	—	3	2	no	—
834	C₂×D₄	—	3	4	no	—
835	C₂×D₄	—	3	2	no	—
836	C₂×D₄	—	3	2	no	—
837	C₂×D₄	—	6	8	no	—
838	C₂×D₄	—	6	16	no	—
839	C₂×D₄	—	6	4	no	—
840	C₂×D₄	—	6	8	no	—
841	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
842	C₂×D₄	C₂²×C₃×D₃	1	4	yes	—
843	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
844	C₂²×C₄	—	3	2	no	—
845	C₂²×C₄	—	3	1	no	—
846	C₂²×C₄	—	3	2	no	—
847	C₂²×C₄	—	3	2	no	—
848	C₂²×C₄	—	3	1	no	—
849	C₂²×C₄	—	3	2	no	—
850	C₂²×C₄	—	3	2	no	—
851	C₂²×C₄	—	3	4	no	—
852	C₂²×C₄	—	3	4	no	—
853	C₂²×C₄	—	3	2	no	—
854	C₂²×C₄	—	3	4	no	—
855	C₂²×C₄	—	3	1	no	—
856	C₂²×C₄	—	6	16	no	—
857	C₂²×C₄	—	6	8	no	—
858	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
859	C₂²×C₄	C₂²×C₃×D₃	1	4	yes	—
860	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
861	C₄⋊C₄	—	3	1	no	—
862	C₄⋊C₄	—	3	2	no	—
863	C₄⋊C₄	—	3	2	no	—
864	C₄⋊C₄	—	3	2	no	—
865	C₄⋊C₄	—	3	1	no	—
866	C₄⋊C₄	—	3	4	no	—
867	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
868	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
869	C₄⋊C₄	C₂²×C₃×D₃	1	4	yes	—
870	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
871	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
872	C₂²⋊C₄	—	3	2	no	—
873	C₂²⋊C₄	—	3	2	no	—
874	C₂²⋊C₄	—	3	2	no	—
875	C₂²⋊C₄	—	3	4	no	—
876	C₂²⋊C₄	—	3	2	no	—
877	C₂²⋊C₄	—	3	4	no	—
878	C₂²⋊C₄	—	3	4	no	—
879	C₂²⋊C₄	—	3	2	no	—
880	C₂²⋊C₄	—	3	4	no	—
881	C₂²⋊C₄	—	3	4	no	—
882	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
883	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
884	C₂²⋊C₄	C₂²×C₃×D₃	1	4	yes	—
885	C₄²	—	3	1	no	—
886	C₄²	—	3	2	no	—
887	C₄²	—	3	1	no	—
888	C₄²	—	3	2	no	—
889	C₄²	—	3	1	no	—
890	C₄²	—	3	2	no	—
891	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
892	C₂²×C₃	—	2	2	no	—
893	C₂²×C₃	—	2	2	no	—
894	C₂²×C₃	—	2	2	no	—
895	C₂²×C₃	—	2	2	no	—
896	C₂²×C₃	—	2	2	no	—
897	C₂²×C₃	—	2	2	no	—
898	C₂²×C₃	—	2	2	no	—
899	C₂²×C₃	—	2	2	no	—
900	C₂²×C₃	—	2	2	no	—
901	C₂²×C₃	—	2	2	no	—
902	C₂²×C₃	—	2	4	no	—
903	C₂²×C₃	—	2	1	no	—
904	C₂²×C₃	—	3	2	no	—
905	C₂²×C₃	—	3	4	no	—
906	C₂²×C₃	—	4	2	no	—
907	C₂²×C₃	—	4	2	no	—
908	C₂²×C₃	—	4	2	no	—
909	C₂²×C₃	—	4	2	no	—
910	C₂²×C₃	—	4	2	no	—
911	C₂²×C₃	—	6	2	no	—
912	C₂²×C₃	—	6	1	no	—
913	C₂²×C₃	—	6	1	no	—
914	C₂²×C₃	—	6	2	no	—
915	C₂²×C₃	—	6	4	no	—
916	C₂²×C₃	—	6	4	no	—
917	C₂²×C₃	—	6	4	no	—
918	C₂²×C₃	—	12	16	no	—
919	C₂²×C₃	—	12	8	no	—
920	C₂²×C₃	C₂×D₃×D₄	1	4	yes	—
921	C₂²×C₃	C₂²×C₃×D₄	1	4	yes	—
922	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
923	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
924	C₂×D₃	—	2	2	no	—
925	C₂×D₃	—	2	1	no	—
926	C₂×D₃	—	2	1	no	—
927	C₂×D₃	—	2	2	no	—
928	C₂×D₃	—	2	4	no	—
929	C₂×D₃	—	2	4	no	—
930	C₂×D₃	—	2	4	no	—
931	C₂×D₃	—	4	8	no	—
932	C₂×D₃	—	4	16	no	—
933	C₂×D₃	C₂²×C₃×D₄	1	2	yes	—
934	C₂×D₃	C₂×C₃×#41	1	4	yes	complemented
935	C₃×C₄	—	2	2	no	—
936	C₃×C₄	—	2	4	no	—
937	C₃×C₄	—	2	2	no	—
938	C₃×C₄	—	2	1	no	—
939	C₃×C₄	—	2	4	no	—
940	C₃×C₄	—	2	2	no	—
941	C₃×C₄	—	2	2	no	—
942	C₃×C₄	—	2	1	no	—
943	C₃×C₄	—	2	2	no	—
944	C₃×C₄	—	2	2	no	—
945	C₃×C₄	—	3	2	no	—
946	C₃×C₄	—	3	4	no	—
947	C₃×C₄	—	4	2	no	—
948	C₃×C₄	—	4	4	no	—
949	C₃×C₄	—	4	2	no	—
950	C₃×C₄	—	4	1	no	—
951	C₃×C₄	—	6	2	no	—
952	C₃×C₄	—	6	1	no	—
953	C₃×C₄	—	6	1	no	—
954	C₃×C₄	—	6	2	no	—
955	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
956	C₃×C₄	D₃×#41	1	2	yes	complemented
957	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
958	C₃×C₄	C₂×C₃×#41	1	2	yes	complemented
959	Dic₃	—	2	2	no	—
960	Dic₃	—	2	1	no	—
961	Dic₃	—	2	1	no	—
962	Dic₃	—	2	2	no	—
963	Dic₃	C₂²×C₃×D₄	1	4	yes	—
964	Dic₃	C₂²×C₃×D₄	1	2	yes	—
965	C₃²	D₄×#41	1	1	yes	characteristic, complemented, Sylow
966	C₂³	—	3	2	no	—
967	C₂³	—	3	1	no	—
968	C₂³	—	3	4	no	—
969	C₂³	—	6	4	no	—
970	C₂³	—	6	8	no	—
971	C₂³	—	6	4	no	—
972	C₂³	—	6	8	no	—
973	C₂³	—	12	4	no	—
974	C₂³	—	12	2	no	—
975	C₂³	C₂³×C₃×D₃	1	2	yes	—
976	C₂³	C₂³×C₃×D₃	1	2	yes	—
977	Q₈	—	2	4	no	—
978	Q₈	—	3	4	no	—
979	Q₈	—	6	8	no	—
980	D₄	—	2	8	no	—
981	D₄	—	2	2	no	—
982	D₄	—	3	8	no	—
983	D₄	—	3	4	no	—
984	D₄	—	6	8	no	—
985	D₄	—	6	8	no	—
986	D₄	—	6	8	no	—
987	D₄	—	6	4	no	—
988	D₄	—	6	8	no	—
989	D₄	—	6	4	no	—
990	D₄	—	6	4	no	—
991	D₄	—	12	2	no	—
992	D₄	—	12	4	no	—
993	D₄	C₃×D₃×D₄	1	4	yes	complemented
994	C₂×C₄	—	2	8	no	—
995	C₂×C₄	—	2	4	no	—
996	C₂×C₄	—	2	4	no	—
997	C₂×C₄	—	3	8	no	—
998	C₂×C₄	—	3	1	no	—
999	C₂×C₄	—	3	2	no	—
1000	C₂×C₄	—	3	4	no	—
1001	C₂×C₄	—	3	1	no	—
1002	C₂×C₄	—	3	1	no	—
1003	C₂×C₄	—	3	2	no	—
1004	C₂×C₄	—	3	2	no	—
1005	C₂×C₄	—	6	4	no	—
1006	C₂×C₄	—	6	8	no	—
1007	C₂×C₄	—	6	8	no	—
1008	C₂×C₄	—	6	8	no	—
1009	C₂×C₄	—	6	4	no	—
1010	C₂×C₄	—	6	4	no	—
1011	C₂×C₄	—	6	4	no	—
1012	C₂×C₄	—	6	2	no	—
1013	C₂×C₄	—	12	1	no	—
1014	C₂×C₄	—	12	2	no	—
1015	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1016	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1017	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1018	C₂×C₄	C₂³×C₃×D₃	1	4	yes	—
1019	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1020	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1021	C₂×C₃	—	2	4	no	—
1022	C₂×C₃	—	2	4	no	—
1023	C₂×C₃	—	2	1	no	—
1024	C₂×C₃	—	2	1	no	—
1025	C₂×C₃	—	2	1	no	—
1026	C₂×C₃	—	4	4	no	—
1027	C₂×C₃	—	4	2	no	—
1028	C₂×C₃	—	4	2	no	—
1029	C₂×C₃	—	6	4	no	—
1030	C₂×C₃	—	6	2	no	—
1031	C₂×C₃	—	8	2	no	—
1032	C₂×C₃	—	12	4	no	—
1033	C₂×C₃	C₂²×D₃×D₄	1	1	yes	characteristic
1034	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1035	C₂×C₃	#5968	1	1	yes	characteristic
1036	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
1037	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1038	C₂×C₃	C₃×#585	1	1	yes	characteristic
1039	D₃	—	2	4	no	—
1040	D₃	—	2	2	no	—
1041	D₃	—	4	4	no	—
1042	C₂²	—	2	2	no	—
1043	C₂²	—	2	2	no	—
1044	C₂²	—	2	2	no	—
1045	C₂²	—	2	2	no	—
1046	C₂²	—	2	2	no	—
1047	C₂²	—	3	2	no	—
1048	C₂²	—	3	4	no	—
1049	C₂²	—	6	2	no	—
1050	C₂²	—	6	1	no	—
1051	C₂²	—	6	1	no	—
1052	C₂²	—	6	2	no	—
1053	C₂²	—	6	4	no	—
1054	C₂²	—	6	4	no	—
1055	C₂²	—	6	4	no	—
1056	C₂²	—	12	16	no	—
1057	C₂²	—	12	8	no	—
1058	C₂²	C₂×C₃×D₃×D₄	1	4	yes	—
1059	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1060	C₄	—	2	2	no	—
1061	C₄	—	2	4	no	—
1062	C₄	—	2	2	no	—
1063	C₄	—	2	1	no	—
1064	C₄	—	3	2	no	—
1065	C₄	—	3	4	no	—
1066	C₄	—	6	2	no	—
1067	C₄	—	6	1	no	—
1068	C₄	—	6	1	no	—
1069	C₄	—	6	2	no	—
1070	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1071	C₄	C₃×D₃×#41	1	2	yes	complemented
1072	C₃	—	2	1	no	—
1073	C₃	#86674	1	1	yes	characteristic, direct product factor
1074	C₃	C₃×D₄×#41	1	1	yes	characteristic, complemented
1075	C₂	—	2	4	no	—
1076	C₂	—	4	2	no	—
1077	C₂	—	6	4	no	—
1078	C₂	—	6	2	no	—
1079	C₂	—	12	4	no	—
1080	C₂	C₂²×C₃×D₃×D₄	1	1	yes	characteristic
1081	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1082	C₂	C₃×#5968	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₃²×#547	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#547	D₃
hypocenter	C₃	C₃×D₄×#41
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#547

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×#547	C₂	semidirect
3. C₃×#5829	C₂	semidirect
4. C₃×#5727	C₂	semidirect
5. C₃×#5725	C₂	semidirect
6. C₃×#5656	C₂	semidirect
7. C₃×#5654	C₂	semidirect
8. C₃×#5633	C₂	semidirect
9. C₃×#5627	C₂	semidirect
10. C₃×#5609	C₂	semidirect
11. C₃×#5596	C₂	semidirect
12. C₃×#5553	C₂	semidirect
13. C₃×D₄×D₁₂	C₂	semidirect
14. C₃×C₄×D₃×D₄	C₂	semidirect
15. C₃×C₄×#237	C₂	semidirect
16. C₃×#5507	C₂	semidirect
17. C₂×C₃×#893	C₂	semidirect
19. #86674	C₃	direct (N × H)
20. C₂×C₃²×#41	C₂²	semidirect
22. C₂×C₃×#239	C₂²	semidirect
23. C₂×C₃×D₃×Q₈	C₂²	semidirect
25. C₂×C₃×#237	C₂²	semidirect
27. C₂×C₃×D₃×D₄	C₂²	semidirect
28. C₂×C₃×D₃×D₄	C₂²	semidirect
29. C₂×C₃×#235	C₂²	semidirect
30. C₂×C₃×#235	C₂²	semidirect
32. C₂²×C₃×C₄×D₃	C₂²	semidirect
33. C₂²×C₃×C₄×D₃	C₂²	semidirect
34. C₃²×C₄⋊Q₈	C₂²	semidirect
35. C₃²×#123	C₂²	semidirect
36. C₃²×C₂²⋊Q₈	C₂²	semidirect
37. C₃²×#121	C₂²	semidirect
38. C₃²×C₄×D₄	C₂²	semidirect
39. C₃²×C₄×D₄	C₂²	semidirect
40. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
41. C₃×#947	C₂²	semidirect
42. C₃×#946	C₂²	semidirect
43. C₃×#940	C₂²	semidirect
44. C₃×#939	C₂²	semidirect
45. C₃×#937	C₂²	semidirect
46. C₃×D₄×Dic₃	C₂²	semidirect
47. C₃×D₄×Dic₃	C₂²	semidirect
48. C₃×#930	C₂²	semidirect
49. C₃×#930	C₂²	semidirect
50. C₃×#929	C₂²	semidirect
51. C₃×C₄×#67	C₂²	semidirect
52. C₃×C₄×#67	C₂²	semidirect
53. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
54. C₂×C₃×C₄×Dic₃	C₂²	semidirect
55. C₃×#896	C₂²	semidirect
56. C₃×#896	C₂²	semidirect
57. C₃×#895	C₂²	semidirect
58. C₃×#895	C₂²	semidirect
59. C₃×#895	C₂²	semidirect
60. C₃×#894	C₂²	semidirect
63. C₃×#893	C₂²	semidirect
64. C₃×#893	C₂²	semidirect
65. C₃×#893	C₂²	semidirect
66. C₃×#893	C₂²	semidirect
67. C₃×#893	C₂²	semidirect
68. C₃×#892	C₂²	semidirect
69. C₃×D₃×C₄⋊C₄	C₂²	semidirect
70. C₃×#888	C₂²	semidirect
71. C₃×#887	C₂²	semidirect
72. C₃×#885	C₂²	semidirect
73. C₃×#884	C₂²	semidirect
74. C₃×#884	C₂²	semidirect
75. C₃×#882	C₂²	semidirect
76. C₃×#882	C₂²	semidirect
77. C₃×#67⋊C₄	C₂²	semidirect
78. C₃×#67⋊C₄	C₂²	semidirect
79. C₃×#67⋊C₄	C₂²	semidirect
80. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
81. C₃×#877	C₂²	semidirect
82. C₃×#874	C₂²	semidirect
84. C₃×C₄²×D₃	C₂²	semidirect
85. C₃×C₄×Dic₆	C₂²	semidirect
87. C₂×D₃×#41	C₂×C₃	semidirect
93. C₃×#547	D₃	semidirect
94. C₃×#547	C₂×C₃	semidirect
106. #5829	C₂×C₃	semidirect
107. #5727	C₂×C₃	semidirect
108. #5725	C₂×C₃	semidirect
109. #5656	C₂×C₃	semidirect
110. #5654	C₂×C₃	semidirect
111. #5633	C₂×C₃	semidirect
112. #5627	C₂×C₃	semidirect
113. #5609	C₂×C₃	semidirect
114. #5596	C₂×C₃	semidirect
115. #5553	C₂×C₃	semidirect
116. D₄×D₁₂	C₂×C₃	semidirect
117. C₄×D₃×D₄	C₂×C₃	semidirect
118. C₄×#237	C₂×C₃	semidirect
119. #5507	C₂×C₃	semidirect
120. C₂×#893	C₂×C₃	semidirect
142. C₃×#237	D₄	semidirect
207. C₂×C₃×#41	C₂×D₃	semidirect
208. C₂×C₃×#41	C₂²×C₃	semidirect
217. C₂×#239	C₂²×C₃	semidirect
218. C₂×D₃×Q₈	C₂²×C₃	semidirect
220. C₂×#237	C₂²×C₃	semidirect
222. C₂×D₃×D₄	C₂²×C₃	semidirect
223. C₂×D₃×D₄	C₂²×C₃	semidirect
224. C₂×#235	C₂²×C₃	semidirect
225. C₂×#235	C₂²×C₃	semidirect
227. C₂²×C₄×D₃	C₂²×C₃	semidirect
228. C₂²×C₄×D₃	C₂²×C₃	semidirect
231. C₃×C₄⋊Q₈	C₂×D₃	semidirect
232. C₃×C₄⋊Q₈	C₂²×C₃	semidirect
240. C₃×#123	C₂×D₃	semidirect
241. C₃×#123	C₂²×C₃	semidirect
246. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
247. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
257. C₃×#121	C₂×D₃	semidirect
258. C₃×#121	C₂²×C₃	semidirect
281. C₃×C₄×D₄	C₂×D₃	semidirect
282. C₃×C₄×D₄	C₂×D₃	semidirect
283. C₃×C₄×D₄	C₂²×C₃	semidirect
284. C₃×C₄×D₄	C₂²×C₃	semidirect
289. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
290. C₂×C₃×C₄⋊C₄	C₂²×C₃	semidirect
295. #947	C₂²×C₃	semidirect
296. #946	C₂²×C₃	semidirect
297. #940	C₂²×C₃	semidirect
298. #939	C₂²×C₃	semidirect
299. #937	C₂²×C₃	semidirect
300. D₄×Dic₃	C₂²×C₃	semidirect
301. D₄×Dic₃	C₂²×C₃	semidirect
302. #930	C₂²×C₃	semidirect
303. #930	C₂²×C₃	semidirect
304. #929	C₂²×C₃	semidirect
305. C₄×#67	C₂²×C₃	semidirect
306. C₄×#67	C₂²×C₃	semidirect
307. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
308. C₂×C₄×Dic₃	C₂²×C₃	semidirect
309. #896	C₂²×C₃	semidirect
310. #896	C₂²×C₃	semidirect
311. #895	C₂²×C₃	semidirect
312. #895	C₂²×C₃	semidirect
313. #895	C₂²×C₃	semidirect
314. #894	C₂²×C₃	semidirect
317. #893	C₂²×C₃	semidirect
318. #893	C₂²×C₃	semidirect
319. #893	C₂²×C₃	semidirect
320. #893	C₂²×C₃	semidirect
321. #893	C₂²×C₃	semidirect
322. #892	C₂²×C₃	semidirect
323. D₃×C₄⋊C₄	C₂²×C₃	semidirect
324. #888	C₂²×C₃	semidirect
325. #887	C₂²×C₃	semidirect
326. #885	C₂²×C₃	semidirect
327. #884	C₂²×C₃	semidirect
328. #884	C₂²×C₃	semidirect
329. #882	C₂²×C₃	semidirect
330. #882	C₂²×C₃	semidirect
331. #67⋊C₄	C₂²×C₃	semidirect
332. #67⋊C₄	C₂²×C₃	semidirect
333. #67⋊C₄	C₂²×C₃	semidirect
334. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
335. #877	C₂²×C₃	semidirect
336. #874	C₂²×C₃	semidirect
338. C₄²×D₃	C₂²×C₃	semidirect
339. C₄×Dic₆	C₂²×C₃	semidirect
354. C₃²×D₄	C₂×D₄	semidirect
368. C₃×#67	C₂×D₄	semidirect
371. C₂×C₃×Dic₃	C₂×D₄	semidirect
383. C₃×D₁₂	#41	semidirect
392. C₃×C₄×D₃	C₂×D₄	semidirect
394. C₃×Dic₆	C₂×D₄	semidirect
400. #547	C₃×D₃	semidirect
488. #237	C₃×D₄	semidirect
602. C₂×C₃×D₃	C₂×#41	semidirect
608. C₃²×C₄	C₂×#41	semidirect
621. C₂×#41	C₂×C₃×D₃	semidirect
630. C₄⋊Q₈	C₂×C₃×D₃	semidirect
637. #123	C₂×C₃×D₃	semidirect
641. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
650. #121	C₂×C₃×D₃	semidirect
671. C₄×D₄	C₂×C₃×D₃	semidirect
672. C₄×D₄	C₂×C₃×D₃	semidirect
676. C₂×C₄⋊C₄	C₂×C₃×D₃	semidirect
728. C₃×D₄	D₃×D₄	semidirect
729. C₃×D₄	C₂×C₃×D₄	semidirect
779. #67	C₂×C₃×D₄	semidirect
782. C₂×Dic₃	C₂×C₃×D₄	semidirect
794. D₁₂	C₃×#41	semidirect
803. C₄×D₃	C₂×C₃×D₄	semidirect
805. Dic₆	C₂×C₃×D₄	semidirect
934. C₂×D₃	C₂×C₃×#41	semidirect
956. C₃×C₄	D₃×#41	semidirect
958. C₃×C₄	C₂×C₃×#41	semidirect
965. C₃²	D₄×#41	semidirect
993. D₄	C₃×D₃×D₄	semidirect
1071. C₄	C₃×D₃×#41	semidirect
1073. C₃	#86674	direct (N × H)
1074. C₃	C₃×D₄×#41	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×#547	2
C₃×#5829	2
C₃×#5727	2
C₃×#5725	2
C₃×#5656	2
C₃×#5654	2
C₃×#5633	2
C₃×#5627	2
C₃×#5609	2
C₃×#5596	2
C₃×#5553	2
C₃×D₄×D₁₂	2
C₃×C₄×D₃×D₄	2
C₃×C₄×#237	2
C₃×#5507	2
C₂×C₃×#893	2
C₃×D₄×#41	3
#86674	3

Subgroups — C3×#86674 #11902754

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86674 #11902754