Subgroups — C₃×#86238 #11902751

Order 1152.

3451 conjugacy classes of subgroups.

The subgroup lattice has 1090 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×#5828	C₂	1	2	yes	maximal, complemented
4	C₃×#5727	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5726	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5718	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5717	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5677	C₂	1	2	yes	maximal, complemented
9	C₃×#5676	C₂	1	2	yes	maximal, complemented
10	C₃×#5611	C₂	1	2	yes	maximal, complemented
11	C₃×#5610	C₂	1	4	yes	maximal, complemented
12	C₃×#5609	C₂	1	2	yes	maximal, complemented
13	C₃×#5548	C₂	1	2	yes	maximal, complemented
14	C₃×#5547	C₂	1	4	yes	maximal, complemented
15	C₃×C₄×D₃×D₄	C₂	1	2	yes	maximal, complemented
16	C₃×C₄×#235	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₃×C₄×D₁₂	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×D₄×#41	—	3	1	no	maximal
19	#86238	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	4	yes	complemented
25	C₂×C₃×#237	C₂²	1	2	yes	complemented
26	C₂×C₃×D₃×D₄	C₂²	1	2	yes	—
27	C₂×C₃×D₃×D₄	C₂²	1	4	yes	complemented
28	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
29	C₂×C₃×#235	C₂²	1	1	yes	characteristic
30	C₂×C₃×#235	C₂²	1	4	yes	complemented
31	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic
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×#127	C₂²	1	1	yes	characteristic, complemented
36	C₃²×#124	C₂²	1	2	yes	complemented
37	C₃²×#121	C₂²	1	2	yes	complemented
38	C₃²×#121	C₂²	1	2	yes	complemented
39	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
40	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
41	C₂×C₃²×C₄²	C₂²	1	1	yes	characteristic, complemented
42	C₃×#946	C₂²	1	2	yes	complemented
43	C₃×#946	C₂²	1	2	yes	complemented
44	C₃×#940	C₂²	1	2	yes	complemented
45	C₃×#939	C₂²	1	4	yes	complemented
46	C₃×#938	C₂²	1	2	yes	complemented
47	C₃×#938	C₂²	1	2	yes	complemented
48	C₃×#938	C₂²	1	2	yes	complemented
49	C₃×#937	C₂²	1	4	yes	complemented
50	C₃×#937	C₂²	1	4	yes	complemented
51	C₃×#935	C₂²	1	4	yes	complemented
52	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
53	C₃×C₄×#67	C₂²	1	4	yes	complemented
54	C₃×C₄×#67	C₂²	1	4	yes	complemented
55	C₃×C₄×#67	C₂²	1	2	yes	complemented
56	C₃×C₄×#67	C₂²	1	2	yes	complemented
57	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
58	C₃×#926	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₃×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
60	C₃×#896	C₂²	1	4	yes	complemented
61	C₃×#895	C₂²	1	2	yes	complemented
62	C₃×#894	C₂²	1	4	yes	complemented
63	C₃×#893	C₂²	1	2	yes	—
64	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
65	C₃×#888	C₂²	1	2	yes	complemented
66	C₃×#885	C₂²	1	4	yes	complemented
67	C₃×#884	C₂²	1	4	yes	complemented
68	C₃×#884	C₂²	1	4	yes	complemented
69	C₃×#883	C₂²	1	4	yes	complemented
70	C₃×#882	C₂²	1	4	yes	complemented
71	C₃×#67⋊C₄	C₂²	1	4	yes	complemented
72	C₃×D₃×C₂²⋊C₄	C₂²	1	4	yes	complemented
73	C₃×#878	C₂²	1	4	yes	complemented
74	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
75	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
76	C₃×C₄×D₁₂	C₂²	1	2	yes	complemented
77	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
78	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
79	C₃×C₄×D₁₂	C₂²	1	2	yes	complemented
80	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
81	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
82	C₃×#872	C₂²	1	2	yes	complemented
83	C₃×C₄²×D₃	C₂²	1	2	yes	complemented
84	C₃×C₄×Dic₆	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	—	3	1	no	—
92	C₃×#547	—	3	2	no	—
93	C₃×#546	—	3	2	no	—
94	C₃×#546	—	3	4	no	—
95	C₃×D₄²	—	3	1	no	—
96	C₃×D₄²	—	3	2	no	—
97	C₃×#532	—	2	1	no	—
98	C₃×#532	—	3	2	no	—
99	C₃×#532	D₃	1	1	yes	characteristic, complemented
100	C₃×#532	C₂×C₃	1	1	yes	characteristic, complemented
101	C₃×#525	—	3	2	no	—
102	C₃×#525	—	3	4	no	—
103	C₃×C₄×#41	—	3	1	no	—
104	C₂×C₃×C₄×D₄	—	3	2	no	—
105	C₂×C₃×C₄×D₄	—	3	1	no	—
106	#5828	C₂×C₃	1	2	yes	complemented
107	#5727	C₂×C₃	1	1	yes	characteristic, complemented
108	#5726	C₂×C₃	1	1	yes	characteristic, complemented
109	#5718	C₂×C₃	1	1	yes	characteristic, complemented
110	#5717	C₂×C₃	1	1	yes	characteristic, complemented
111	#5677	C₂×C₃	1	2	yes	complemented
112	#5676	C₂×C₃	1	2	yes	complemented
113	#5611	C₂×C₃	1	2	yes	complemented
114	#5610	C₂×C₃	1	4	yes	complemented
115	#5609	C₂×C₃	1	2	yes	complemented
116	#5548	C₂×C₃	1	2	yes	complemented
117	#5547	C₂×C₃	1	4	yes	complemented
118	C₄×D₃×D₄	C₂×C₃	1	2	yes	complemented
119	C₄×#235	C₂×C₃	1	1	yes	characteristic, complemented
120	C₂×C₄×D₁₂	C₂×C₃	1	1	yes	characteristic, complemented
121	C₂³×C₃×D₃	C₂³	1	4	yes	—
122	C₂³×C₃×D₃	C₂³	1	2	yes	—
123	C₃²×#41	—	2	8	no	—
124	C₂×C₃²×Q₈	C₂³	1	2	yes	—
125	C₂×C₃²×D₄	C₂³	1	2	yes	—
126	C₂×C₃²×D₄	C₂³	1	4	yes	—
127	C₂×C₃²×D₄	C₂³	1	2	yes	—
128	C₂×C₃²×D₄	C₂³	1	2	yes	—
129	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
130	C₂²×C₃²×C₄	C₂³	1	4	yes	—
131	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
132	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
133	C₂×C₃×#67	C₂³	1	4	yes	—
134	C₂×C₃×#67	C₂³	1	4	yes	—
135	C₂×C₃×#67	C₂³	1	4	yes	—
136	C₂×C₃×#67	C₂³	1	4	yes	—
137	C₂×C₃×#67	C₂³	1	2	yes	—
138	C₂²×C₃×Dic₃	C₂³	1	4	yes	—
139	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
140	C₃×#239	—	2	8	no	—
141	C₃×D₃×Q₈	—	2	8	no	—
142	C₃×#237	—	2	16	no	—
143	C₃×#237	—	2	8	no	—
144	C₃×D₃×D₄	—	2	16	no	—
145	C₃×D₃×D₄	—	2	8	no	—
146	C₃×D₃×D₄	—	2	8	no	—
147	C₃×#235	—	2	16	no	—
148	C₃×#235	D₄	1	8	yes	complemented
149	C₂×C₃×D₁₂	—	2	4	no	—
150	C₂×C₃×D₁₂	C₂³	1	2	yes	—
151	C₂×C₃×D₁₂	C₂³	1	4	yes	—
152	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
153	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
154	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
155	C₂×C₃×C₄×D₃	—	2	8	no	—
156	C₂×C₃×C₄×D₃	—	2	16	no	—
157	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
158	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
159	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
160	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
161	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
162	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
163	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
164	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
165	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
166	C₂×C₃×Dic₆	C₂³	1	4	yes	—
167	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
168	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
169	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
170	C₃²×C₂²⋊C₄	C₂³	1	4	yes	—
171	C₃²×C₂²⋊C₄	C₂³	1	4	yes	—
172	C₃²×C₄²	C₂³	1	1	yes	characteristic
173	C₃²×C₄²	C₂³	1	1	yes	characteristic
174	C₃²×C₄²	C₂³	1	1	yes	characteristic
175	C₃²×C₄²	C₂³	1	1	yes	characteristic
176	C₃×#217	C₂³	1	4	yes	—
177	C₃×#217	C₂³	1	4	yes	—
178	C₃×#217	C₂³	1	2	yes	—
179	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
180	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
181	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
182	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
183	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
184	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
185	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
186	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
187	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
188	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
189	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
190	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
191	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
192	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
193	C₃×Dic₃⋊C₄	C₂³	1	4	yes	—
194	C₃×Dic₃⋊C₄	C₂³	1	4	yes	—
195	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
196	C₃×C₄×Dic₃	C₂³	1	2	yes	—
197	C₃×C₄×Dic₃	C₂³	1	2	yes	—
198	C₃×C₄×Dic₃	C₂³	1	2	yes	—
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	4	no	—
203	C₂×C₃×#41	—	3	2	no	—
204	C₂×C₃×#41	—	3	1	no	—
205	C₂×C₃×#41	—	3	4	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	2	no	—
213	C₂²×C₃×D₄	—	3	1	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	2	yes	complemented
220	C₂×#237	C₂²×C₃	1	4	yes	complemented
221	C₂×D₃×D₄	C₂²×C₃	1	2	yes	—
222	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
223	C₂×D₃×D₄	C₂²×C₃	1	4	yes	complemented
224	C₂×#235	C₂²×C₃	1	1	yes	characteristic
225	C₂×#235	C₂²×C₃	1	4	yes	complemented
226	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic
227	C₂²×C₄×D₃	C₂²×C₃	1	2	yes	complemented
228	C₂²×C₄×D₃	C₂²×C₃	1	4	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	—	2	1	no	—
234	C₃×#127	—	3	2	no	—
235	C₃×#127	C₂×D₃	1	1	yes	characteristic, complemented
236	C₃×#127	C₂²×C₃	1	1	yes	characteristic, complemented
237	C₃×#124	—	2	2	no	—
238	C₃×#124	—	3	4	no	—
239	C₃×#124	C₂×D₃	1	2	yes	complemented
240	C₃×#124	C₂²×C₃	1	2	yes	complemented
241	C₃×#123	—	3	4	no	—
242	C₃×#123	—	3	4	no	—
243	C₃×#123	—	3	4	no	—
244	C₃×C₂²⋊Q₈	—	3	2	no	—
245	C₃×C₂²⋊Q₈	—	3	2	no	—
246	C₃×C₂²⋊Q₈	—	3	4	no	—
247	C₃×C₂²⋊Q₈	—	3	4	no	—
248	C₃×#121	—	2	2	no	—
249	C₃×#121	—	2	2	no	—
250	C₃×#121	—	3	2	no	—
251	C₃×#121	—	3	2	no	—
252	C₃×#121	—	3	2	no	—
253	C₃×#121	—	3	4	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	C₂×D₃	1	2	yes	complemented
259	C₃×#121	C₂²×C₃	1	2	yes	complemented
260	C₃×#121	C₂²×C₃	1	2	yes	complemented
261	C₃×#120	—	3	4	no	—
262	C₃×#120	—	3	4	no	—
263	C₃×#120	—	3	4	no	—
264	C₃×C₄×Q₈	—	3	1	no	—
265	C₃×C₄×Q₈	—	3	1	no	—
266	C₃×C₄×D₄	—	2	2	no	—
267	C₃×C₄×D₄	—	2	2	no	—
268	C₃×C₄×D₄	—	3	2	no	—
269	C₃×C₄×D₄	—	3	4	no	—
270	C₃×C₄×D₄	—	3	2	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	1	no	—
276	C₃×C₄×D₄	—	3	2	no	—
277	C₃×C₄×D₄	—	3	1	no	—
278	C₃×C₄×D₄	—	3	1	no	—
279	C₃×C₄×D₄	—	3	2	no	—
280	C₃×C₄×D₄	—	3	1	no	—
281	C₃×C₄×D₄	—	3	1	no	—
282	C₃×C₄×D₄	—	3	1	no	—
283	C₃×C₄×D₄	C₂×D₃	1	2	yes	complemented
284	C₃×C₄×D₄	C₂×D₃	1	2	yes	complemented
285	C₃×C₄×D₄	C₂²×C₃	1	2	yes	complemented
286	C₃×C₄×D₄	C₂²×C₃	1	2	yes	complemented
287	C₃×#117	—	3	1	no	—
288	C₃×#117	—	3	2	no	—
289	C₂×C₃×C₄⋊C₄	—	3	1	no	—
290	C₂×C₃×C₄⋊C₄	—	3	2	no	—
291	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
292	C₂×C₃×C₂²⋊C₄	—	3	4	no	—
293	C₂×C₃×C₄²	—	2	1	no	—
294	C₂×C₃×C₄²	—	3	2	no	—
295	C₂×C₃×C₄²	C₂×D₃	1	1	yes	characteristic, complemented
296	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic, complemented
297	#946	C₂²×C₃	1	2	yes	complemented
298	#946	C₂²×C₃	1	2	yes	complemented
299	#940	C₂²×C₃	1	2	yes	complemented
300	#939	C₂²×C₃	1	4	yes	complemented
301	#938	C₂²×C₃	1	2	yes	complemented
302	#938	C₂²×C₃	1	2	yes	complemented
303	#938	C₂²×C₃	1	2	yes	complemented
304	#937	C₂²×C₃	1	4	yes	complemented
305	#937	C₂²×C₃	1	4	yes	complemented
306	#935	C₂²×C₃	1	4	yes	complemented
307	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
308	C₄×#67	C₂²×C₃	1	2	yes	complemented
309	C₄×#67	C₂²×C₃	1	2	yes	complemented
310	C₄×#67	C₂²×C₃	1	4	yes	complemented
311	C₄×#67	C₂²×C₃	1	4	yes	complemented
312	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
313	#926	C₂²×C₃	1	1	yes	characteristic, complemented
314	C₂×C₄⋊Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
315	#896	C₂²×C₃	1	4	yes	complemented
316	#895	C₂²×C₃	1	2	yes	complemented
317	#894	C₂²×C₃	1	4	yes	complemented
318	#893	C₂²×C₃	1	2	yes	—
319	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
320	#888	C₂²×C₃	1	2	yes	complemented
321	#885	C₂²×C₃	1	4	yes	complemented
322	#884	C₂²×C₃	1	4	yes	complemented
323	#884	C₂²×C₃	1	4	yes	complemented
324	#883	C₂²×C₃	1	4	yes	complemented
325	#882	C₂²×C₃	1	4	yes	complemented
326	#67⋊C₄	C₂²×C₃	1	4	yes	complemented
327	D₃×C₂²⋊C₄	C₂²×C₃	1	4	yes	complemented
328	#878	C₂²×C₃	1	4	yes	complemented
329	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
330	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
331	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
332	C₄×D₁₂	C₂²×C₃	1	2	yes	complemented
333	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
334	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
335	C₄×D₁₂	C₂²×C₃	1	2	yes	complemented
336	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
337	#872	C₂²×C₃	1	2	yes	complemented
338	C₄²×D₃	C₂²×C₃	1	2	yes	complemented
339	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
340	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
341	C₂³×C₃²	C₂⁴	1	4	yes	—
342	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
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	—	2	8	no	—
347	C₂²×C₃×D₃	—	4	4	no	—
348	C₂²×C₃×D₃	—	4	2	no	—
349	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
350	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
351	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
352	C₃²×Q₈	—	2	4	no	—
353	C₃²×D₄	—	2	8	no	—
354	C₃²×D₄	—	2	4	no	—
355	C₃²×D₄	—	2	4	no	—
356	C₃²×D₄	—	4	2	no	—
357	C₂×C₃²×C₄	—	2	8	no	—
358	C₂×C₃²×C₄	—	2	2	no	—
359	C₂×C₃²×C₄	—	4	1	no	—
360	C₂×C₃²×C₄	C₂×D₄	1	4	yes	complemented
361	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
362	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
363	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
364	C₂×C₃²×C₄	C₂⁴	1	4	yes	—
365	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
366	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
367	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
368	C₃×#67	—	2	8	no	—
369	C₃×#67	—	2	8	no	—
370	C₃×#67	—	2	8	no	—
371	C₃×#67	—	4	4	no	—
372	C₃×#67	C₂×D₄	1	8	yes	complemented
373	C₂×C₃×Dic₃	—	2	4	no	—
374	C₂×C₃×Dic₃	—	2	8	no	—
375	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
376	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
377	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
378	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
379	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
380	C₃×D₁₂	—	2	8	no	—
381	C₃×D₁₂	—	2	4	no	—
382	C₃×D₁₂	—	2	2	no	—
383	C₃×D₁₂	C₂×D₄	1	4	yes	complemented
384	C₃×D₁₂	#41	1	4	yes	complemented
385	C₃×C₄×D₃	—	2	8	no	—
386	C₃×C₄×D₃	—	2	4	no	—
387	C₃×C₄×D₃	—	2	4	no	—
388	C₃×C₄×D₃	—	2	4	no	—
389	C₃×C₄×D₃	—	2	4	no	—
390	C₃×C₄×D₃	—	2	4	no	—
391	C₃×C₄×D₃	—	2	8	no	—
392	C₃×C₄×D₃	—	4	2	no	—
393	C₃×C₄×D₃	C₂×D₄	1	8	yes	complemented
394	C₃×Dic₆	—	2	8	no	—
395	C₃×Dic₆	C₂×D₄	1	4	yes	complemented
396	C₂²×#41	—	3	2	no	—
397	#550	—	3	1	no	—
398	D₄×Q₈	—	3	1	no	—
399	#548	—	3	2	no	—
400	#547	—	3	1	no	—
401	#547	—	3	2	no	—
402	#546	—	3	2	no	—
403	#546	—	3	4	no	—
404	D₄²	—	3	1	no	—
405	D₄²	—	3	2	no	—
406	#532	—	3	2	no	—
407	#532	C₃×D₃	1	1	yes	characteristic, complemented
408	#525	—	3	2	no	—
409	#525	—	3	4	no	—
410	C₄×#41	—	3	1	no	—
411	C₂×C₄×D₄	—	3	2	no	—
412	C₂×C₄×D₄	—	3	1	no	—
413	C₂⁴×C₃	—	3	4	no	—
414	C₂⁴×C₃	—	3	2	no	—
415	C₂³×D₃	C₂³×C₃	1	4	yes	—
416	C₂³×D₃	C₂³×C₃	1	2	yes	—
417	C₃×#41	—	2	8	no	—
418	C₃×#41	—	2	8	no	—
419	C₃×#41	—	3	8	no	—
420	C₃×#41	—	4	8	no	—
421	C₃×#41	—	6	16	no	—
422	C₃×#41	—	6	16	no	—
423	C₃×#41	—	6	8	no	—
424	C₃×#41	—	6	8	no	—
425	C₂×C₃×Q₈	—	2	2	no	—
426	C₂×C₃×Q₈	—	3	1	no	—
427	C₂×C₃×Q₈	—	3	4	no	—
428	C₂×C₃×Q₈	—	6	8	no	—
429	C₂×C₃×Q₈	C₂²×D₃	1	2	yes	—
430	C₂×C₃×Q₈	C₂³×C₃	1	2	yes	—
431	C₂×C₃×D₄	—	2	2	no	—
432	C₂×C₃×D₄	—	2	2	no	—
433	C₂×C₃×D₄	—	2	4	no	—
434	C₂×C₃×D₄	—	2	2	no	—
435	C₂×C₃×D₄	—	3	2	no	—
436	C₂×C₃×D₄	—	3	4	no	—
437	C₂×C₃×D₄	—	3	4	no	—
438	C₂×C₃×D₄	—	3	4	no	—
439	C₂×C₃×D₄	—	3	4	no	—
440	C₂×C₃×D₄	—	3	1	no	—
441	C₂×C₃×D₄	—	3	1	no	—
442	C₂×C₃×D₄	—	3	2	no	—
443	C₂×C₃×D₄	—	3	1	no	—
444	C₂×C₃×D₄	—	3	4	no	—
445	C₂×C₃×D₄	—	6	4	no	—
446	C₂×C₃×D₄	—	6	8	no	—
447	C₂×C₃×D₄	—	6	16	no	—
448	C₂×C₃×D₄	—	6	8	no	—
449	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
450	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
451	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
452	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
453	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
454	C₂×C₃×D₄	C₂³×C₃	1	4	yes	—
455	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
456	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
457	C₂²×C₃×C₄	—	2	1	no	—
458	C₂²×C₃×C₄	—	2	1	no	—
459	C₂²×C₃×C₄	—	2	1	no	—
460	C₂²×C₃×C₄	—	2	4	no	—
461	C₂²×C₃×C₄	—	3	2	no	—
462	C₂²×C₃×C₄	—	3	2	no	—
463	C₂²×C₃×C₄	—	3	4	no	—
464	C₂²×C₃×C₄	—	3	2	no	—
465	C₂²×C₃×C₄	—	3	4	no	—
466	C₂²×C₃×C₄	—	3	4	no	—
467	C₂²×C₃×C₄	—	3	2	no	—
468	C₂²×C₃×C₄	—	3	2	no	—
469	C₂²×C₃×C₄	—	3	2	no	—
470	C₂²×C₃×C₄	—	3	2	no	—
471	C₂²×C₃×C₄	—	3	2	no	—
472	C₂²×C₃×C₄	—	6	16	no	—
473	C₂²×C₃×C₄	—	6	8	no	—
474	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
475	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
476	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
477	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
478	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
479	C₂²×C₃×C₄	C₂³×C₃	1	4	yes	—
480	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
481	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
482	C₂×#67	C₂³×C₃	1	4	yes	—
483	C₂×#67	C₂³×C₃	1	4	yes	—
484	C₂×#67	C₂³×C₃	1	4	yes	—
485	C₂×#67	C₂³×C₃	1	4	yes	—
486	C₂×#67	C₂³×C₃	1	2	yes	—
487	C₂²×Dic₃	C₂³×C₃	1	4	yes	—
488	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
489	#239	—	2	8	no	—
490	D₃×Q₈	—	2	8	no	—
491	#237	—	2	16	no	—
492	#237	—	2	8	no	—
493	D₃×D₄	—	2	16	no	—
494	D₃×D₄	—	2	8	no	—
495	D₃×D₄	—	2	8	no	—
496	#235	—	2	16	no	—
497	#235	C₃×D₄	1	8	yes	complemented
498	C₂×D₁₂	—	2	4	no	—
499	C₂×D₁₂	C₂³×C₃	1	2	yes	—
500	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
501	C₂×D₁₂	C₂³×C₃	1	4	yes	—
502	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
503	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
504	C₂×C₄×D₃	—	2	8	no	—
505	C₂×C₄×D₃	—	2	16	no	—
506	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
507	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
508	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
509	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
510	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
511	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
512	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
513	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
514	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
515	C₂×Dic₆	C₂³×C₃	1	4	yes	—
516	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
517	C₃×C₄⋊C₄	—	2	2	no	—
518	C₃×C₄⋊C₄	—	2	2	no	—
519	C₃×C₄⋊C₄	—	3	4	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	—	3	2	no	—
526	C₃×C₄⋊C₄	—	3	1	no	—
527	C₃×C₄⋊C₄	—	3	1	no	—
528	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
529	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
530	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
531	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
532	C₃×C₂²⋊C₄	—	2	4	no	—
533	C₃×C₂²⋊C₄	—	2	4	no	—
534	C₃×C₂²⋊C₄	—	3	4	no	—
535	C₃×C₂²⋊C₄	—	3	2	no	—
536	C₃×C₂²⋊C₄	—	3	4	no	—
537	C₃×C₂²⋊C₄	—	3	2	no	—
538	C₃×C₂²⋊C₄	—	3	4	no	—
539	C₃×C₂²⋊C₄	—	3	2	no	—
540	C₃×C₂²⋊C₄	—	3	2	no	—
541	C₃×C₂²⋊C₄	—	3	2	no	—
542	C₃×C₂²⋊C₄	—	3	2	no	—
543	C₃×C₂²⋊C₄	—	3	2	no	—
544	C₃×C₂²⋊C₄	—	3	4	no	—
545	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
546	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
547	C₃×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
548	C₃×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
549	C₃×C₄²	—	2	1	no	—
550	C₃×C₄²	—	2	1	no	—
551	C₃×C₄²	—	2	1	no	—
552	C₃×C₄²	—	2	1	no	—
553	C₃×C₄²	—	3	2	no	—
554	C₃×C₄²	—	3	2	no	—
555	C₃×C₄²	—	3	2	no	—
556	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
557	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
558	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
559	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
560	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
561	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
562	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
563	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
564	#217	C₂³×C₃	1	4	yes	—
565	#217	C₂³×C₃	1	4	yes	—
566	#217	C₂³×C₃	1	2	yes	—
567	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
568	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
569	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
570	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
571	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
572	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
573	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
574	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
575	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
576	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
577	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
578	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
579	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
580	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
581	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
582	Dic₃⋊C₄	C₂³×C₃	1	4	yes	—
583	Dic₃⋊C₄	C₂³×C₃	1	4	yes	—
584	C₄×Dic₃	C₂³×C₃	1	2	yes	—
585	C₄×Dic₃	C₂³×C₃	1	2	yes	—
586	C₄×Dic₃	C₂³×C₃	1	2	yes	—
587	C₂²×C₃²	—	2	1	no	—
588	C₂²×C₃²	—	2	1	no	—
589	C₂²×C₃²	—	2	4	no	—
590	C₂²×C₃²	—	2	4	no	—
591	C₂²×C₃²	—	2	4	no	—
592	C₂²×C₃²	C₂²×D₄	1	2	yes	—
593	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
594	C₂×C₃×D₃	—	2	2	no	—
595	C₂×C₃×D₃	—	2	2	no	—
596	C₂×C₃×D₃	—	2	2	no	—
597	C₂×C₃×D₃	—	2	2	no	—
598	C₂×C₃×D₃	—	2	2	no	—
599	C₂×C₃×D₃	—	2	2	no	—
600	C₂×C₃×D₃	—	2	2	no	—
601	C₂×C₃×D₃	—	4	16	no	—
602	C₂×C₃×D₃	—	4	8	no	—
603	C₂×C₃×D₃	C₂²×D₄	1	4	yes	—
604	C₂×C₃×D₃	C₂×#41	1	4	yes	complemented
605	C₃²×C₄	—	2	1	no	—
606	C₃²×C₄	—	2	4	no	—
607	C₃²×C₄	—	2	1	no	—
608	C₃²×C₄	—	2	1	no	—
609	C₃²×C₄	C₂²×D₄	1	2	yes	—
610	C₃²×C₄	C₂²×D₄	1	2	yes	—
611	C₃²×C₄	C₂×#41	1	2	yes	complemented
612	C₃×Dic₃	—	2	2	no	—
613	C₃×Dic₃	—	2	2	no	—
614	C₃×Dic₃	—	2	2	no	—
615	C₃×Dic₃	—	2	2	no	—
616	C₃×Dic₃	C₂²×D₄	1	4	yes	—
617	C₂×#41	—	3	2	no	—
618	C₂×#41	—	3	4	no	—
619	C₂×#41	—	3	2	no	—
620	C₂×#41	—	3	1	no	—
621	C₂×#41	—	3	4	no	—
622	C₂×#41	—	6	16	no	—
623	C₂×#41	C₂×C₃×D₃	1	2	yes	complemented
624	C₂²×Q₈	—	3	2	no	—
625	C₂²×D₄	—	3	2	no	—
626	C₂²×D₄	—	3	4	no	—
627	C₂²×D₄	—	3	2	no	—
628	C₂²×D₄	—	3	1	no	—
629	C₂³×C₄	—	3	4	no	—
630	C₂³×C₄	—	3	2	no	—
631	C₄⋊Q₈	—	3	2	no	—
632	C₄⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
633	#127	—	3	2	no	—
634	#127	C₂×C₃×D₃	1	1	yes	characteristic, complemented
635	#124	—	3	4	no	—
636	#124	C₂×C₃×D₃	1	2	yes	complemented
637	#123	—	3	4	no	—
638	#123	—	3	4	no	—
639	#123	—	3	4	no	—
640	C₂²⋊Q₈	—	3	2	no	—
641	C₂²⋊Q₈	—	3	2	no	—
642	C₂²⋊Q₈	—	3	4	no	—
643	C₂²⋊Q₈	—	3	4	no	—
644	#121	—	3	2	no	—
645	#121	—	3	2	no	—
646	#121	—	3	4	no	—
647	#121	—	3	2	no	—
648	#121	—	3	2	no	—
649	#121	—	3	4	no	—
650	#121	—	3	4	no	—
651	#121	C₂×C₃×D₃	1	2	yes	complemented
652	#121	C₂×C₃×D₃	1	2	yes	complemented
653	#120	—	3	4	no	—
654	#120	—	3	4	no	—
655	#120	—	3	4	no	—
656	C₄×Q₈	—	3	1	no	—
657	C₄×Q₈	—	3	1	no	—
658	C₄×D₄	—	3	2	no	—
659	C₄×D₄	—	3	4	no	—
660	C₄×D₄	—	3	2	no	—
661	C₄×D₄	—	3	2	no	—
662	C₄×D₄	—	3	4	no	—
663	C₄×D₄	—	3	2	no	—
664	C₄×D₄	—	3	4	no	—
665	C₄×D₄	—	3	1	no	—
666	C₄×D₄	—	3	2	no	—
667	C₄×D₄	—	3	1	no	—
668	C₄×D₄	—	3	1	no	—
669	C₄×D₄	—	3	2	no	—
670	C₄×D₄	—	3	1	no	—
671	C₄×D₄	—	3	1	no	—
672	C₄×D₄	—	3	1	no	—
673	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
674	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
675	#117	—	3	1	no	—
676	#117	—	3	2	no	—
677	C₂×C₄⋊C₄	—	3	1	no	—
678	C₂×C₄⋊C₄	—	3	2	no	—
679	C₂×C₂²⋊C₄	—	3	2	no	—
680	C₂×C₂²⋊C₄	—	3	4	no	—
681	C₂×C₄²	—	3	2	no	—
682	C₂×C₄²	C₂×C₃×D₃	1	1	yes	characteristic, complemented
683	C₂³×C₃	—	2	1	no	—
684	C₂³×C₃	—	2	4	no	—
685	C₂³×C₃	—	3	2	no	—
686	C₂³×C₃	—	3	2	no	—
687	C₂³×C₃	—	3	2	no	—
688	C₂³×C₃	—	6	8	no	—
689	C₂³×C₃	—	6	4	no	—
690	C₂³×C₃	—	6	8	no	—
691	C₂³×C₃	—	6	4	no	—
692	C₂³×C₃	—	12	2	no	—
693	C₂³×C₃	—	12	4	no	—
694	C₂³×C₃	C₂³×D₃	1	4	yes	—
695	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
696	C₂³×C₃	C₂⁴×C₃	1	4	yes	—
697	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
698	C₂²×D₃	—	2	4	no	—
699	C₂²×D₃	—	2	8	no	—
700	C₂²×D₃	—	2	4	no	—
701	C₂²×D₃	—	2	8	no	—
702	C₂²×D₃	—	4	4	no	—
703	C₂²×D₃	—	4	2	no	—
704	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
705	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
706	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
707	C₃×Q₈	—	2	4	no	—
708	C₃×Q₈	—	2	4	no	—
709	C₃×Q₈	—	3	4	no	—
710	C₃×Q₈	—	4	4	no	—
711	C₃×Q₈	—	6	8	no	—
712	C₃×D₄	—	2	8	no	—
713	C₃×D₄	—	2	8	no	—
714	C₃×D₄	—	2	4	no	—
715	C₃×D₄	—	2	4	no	—
716	C₃×D₄	—	2	4	no	—
717	C₃×D₄	—	2	4	no	—
718	C₃×D₄	—	3	8	no	—
719	C₃×D₄	—	3	4	no	—
720	C₃×D₄	—	3	4	no	—
721	C₃×D₄	—	4	4	no	—
722	C₃×D₄	—	4	4	no	—
723	C₃×D₄	—	4	8	no	—
724	C₃×D₄	—	4	2	no	—
725	C₃×D₄	—	4	2	no	—
726	C₃×D₄	—	4	4	no	—
727	C₃×D₄	—	6	4	no	—
728	C₃×D₄	—	6	8	no	—
729	C₃×D₄	—	6	8	no	—
730	C₃×D₄	—	6	8	no	—
731	C₃×D₄	—	6	8	no	—
732	C₃×D₄	—	6	2	no	—
733	C₃×D₄	—	12	4	no	—
734	C₂×C₃×C₄	—	2	8	no	—
735	C₂×C₃×C₄	—	2	2	no	—
736	C₂×C₃×C₄	—	2	8	no	—
737	C₂×C₃×C₄	—	2	2	no	—
738	C₂×C₃×C₄	—	2	1	no	—
739	C₂×C₃×C₄	—	2	1	no	—
740	C₂×C₃×C₄	—	2	1	no	—
741	C₂×C₃×C₄	—	2	1	no	—
742	C₂×C₃×C₄	—	2	1	no	—
743	C₂×C₃×C₄	—	2	1	no	—
744	C₂×C₃×C₄	—	2	4	no	—
745	C₂×C₃×C₄	—	2	4	no	—
746	C₂×C₃×C₄	—	3	2	no	—
747	C₂×C₃×C₄	—	3	8	no	—
748	C₂×C₃×C₄	—	3	2	no	—
749	C₂×C₃×C₄	—	3	2	no	—
750	C₂×C₃×C₄	—	3	2	no	—
751	C₂×C₃×C₄	—	3	2	no	—
752	C₂×C₃×C₄	—	4	2	no	—
753	C₂×C₃×C₄	—	4	8	no	—
754	C₂×C₃×C₄	—	4	1	no	—
755	C₂×C₃×C₄	—	4	1	no	—
756	C₂×C₃×C₄	—	4	2	no	—
757	C₂×C₃×C₄	—	6	8	no	—
758	C₂×C₃×C₄	—	6	8	no	—
759	C₂×C₃×C₄	—	6	8	no	—
760	C₂×C₃×C₄	—	6	4	no	—
761	C₂×C₃×C₄	—	6	4	no	—
762	C₂×C₃×C₄	—	6	4	no	—
763	C₂×C₃×C₄	—	6	4	no	—
764	C₂×C₃×C₄	—	6	4	no	—
765	C₂×C₃×C₄	—	6	4	no	—
766	C₂×C₃×C₄	—	12	2	no	—
767	C₂×C₃×C₄	D₃×D₄	1	4	yes	complemented
768	C₂×C₃×C₄	C₂×C₃×D₄	1	4	yes	complemented
769	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
770	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
771	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
772	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
773	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
774	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
775	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
776	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
777	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
778	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
779	C₂×C₃×C₄	C₂⁴×C₃	1	4	yes	—
780	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
781	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
782	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
783	#67	—	2	8	no	—
784	#67	—	2	8	no	—
785	#67	—	2	8	no	—
786	#67	—	4	4	no	—
787	#67	C₂×C₃×D₄	1	8	yes	complemented
788	C₂×Dic₃	—	2	4	no	—
789	C₂×Dic₃	—	2	8	no	—
790	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
791	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
792	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
793	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
794	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
795	D₁₂	—	2	8	no	—
796	D₁₂	—	2	4	no	—
797	D₁₂	—	2	2	no	—
798	D₁₂	C₂×C₃×D₄	1	4	yes	complemented
799	D₁₂	C₃×#41	1	4	yes	complemented
800	C₄×D₃	—	2	8	no	—
801	C₄×D₃	—	2	4	no	—
802	C₄×D₃	—	2	4	no	—
803	C₄×D₃	—	2	4	no	—
804	C₄×D₃	—	2	4	no	—
805	C₄×D₃	—	2	4	no	—
806	C₄×D₃	—	2	8	no	—
807	C₄×D₃	—	4	2	no	—
808	C₄×D₃	C₂×C₃×D₄	1	8	yes	complemented
809	Dic₆	—	2	8	no	—
810	Dic₆	C₂×C₃×D₄	1	4	yes	complemented
811	C₂×C₃²	—	2	2	no	—
812	C₂×C₃²	—	4	4	no	—
813	C₂×C₃²	C₂³×D₄	1	1	yes	characteristic
814	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
815	C₂×C₃²	#585	1	1	yes	characteristic
816	C₃×D₃	—	2	4	no	—
817	C₃×D₃	—	2	4	no	—
818	C₃×D₃	—	4	2	no	—
819	C₂⁴	—	3	4	no	—
820	C₂⁴	—	3	2	no	—
821	#41	—	2	8	no	—
822	#41	—	3	8	no	—
823	#41	—	6	16	no	—
824	#41	—	6	16	no	—
825	#41	—	6	8	no	—
826	#41	—	6	8	no	—
827	C₂×Q₈	—	3	1	no	—
828	C₂×Q₈	—	3	4	no	—
829	C₂×Q₈	—	6	8	no	—
830	C₂×Q₈	C₂²×C₃×D₃	1	2	yes	—
831	C₂×D₄	—	3	2	no	—
832	C₂×D₄	—	3	4	no	—
833	C₂×D₄	—	3	4	no	—
834	C₂×D₄	—	3	4	no	—
835	C₂×D₄	—	3	4	no	—
836	C₂×D₄	—	3	1	no	—
837	C₂×D₄	—	3	1	no	—
838	C₂×D₄	—	3	2	no	—
839	C₂×D₄	—	3	1	no	—
840	C₂×D₄	—	3	4	no	—
841	C₂×D₄	—	6	4	no	—
842	C₂×D₄	—	6	16	no	—
843	C₂×D₄	—	6	8	no	—
844	C₂×D₄	—	6	8	no	—
845	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
846	C₂×D₄	C₂²×C₃×D₃	1	4	yes	—
847	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
848	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
849	C₂²×C₄	—	3	2	no	—
850	C₂²×C₄	—	3	2	no	—
851	C₂²×C₄	—	3	4	no	—
852	C₂²×C₄	—	3	2	no	—
853	C₂²×C₄	—	3	4	no	—
854	C₂²×C₄	—	3	2	no	—
855	C₂²×C₄	—	3	2	no	—
856	C₂²×C₄	—	3	4	no	—
857	C₂²×C₄	—	3	2	no	—
858	C₂²×C₄	—	3	2	no	—
859	C₂²×C₄	—	3	2	no	—
860	C₂²×C₄	—	6	16	no	—
861	C₂²×C₄	—	6	8	no	—
862	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
863	C₂²×C₄	C₂²×C₃×D₃	1	4	yes	—
864	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
865	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
866	C₄⋊C₄	—	3	1	no	—
867	C₄⋊C₄	—	3	1	no	—
868	C₄⋊C₄	—	3	4	no	—
869	C₄⋊C₄	—	3	2	no	—
870	C₄⋊C₄	—	3	2	no	—
871	C₄⋊C₄	—	3	2	no	—
872	C₄⋊C₄	—	3	1	no	—
873	C₄⋊C₄	—	3	1	no	—
874	C₄⋊C₄	—	3	4	no	—
875	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
876	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
877	C₂²⋊C₄	—	3	4	no	—
878	C₂²⋊C₄	—	3	2	no	—
879	C₂²⋊C₄	—	3	4	no	—
880	C₂²⋊C₄	—	3	2	no	—
881	C₂²⋊C₄	—	3	4	no	—
882	C₂²⋊C₄	—	3	2	no	—
883	C₂²⋊C₄	—	3	2	no	—
884	C₂²⋊C₄	—	3	2	no	—
885	C₂²⋊C₄	—	3	2	no	—
886	C₂²⋊C₄	—	3	2	no	—
887	C₂²⋊C₄	—	3	4	no	—
888	C₂²⋊C₄	C₂²×C₃×D₃	1	4	yes	—
889	C₂²⋊C₄	C₂²×C₃×D₃	1	4	yes	—
890	C₄²	—	3	2	no	—
891	C₄²	—	3	2	no	—
892	C₄²	—	3	2	no	—
893	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
894	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
895	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
896	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
897	C₂²×C₃	—	2	1	no	—
898	C₂²×C₃	—	2	1	no	—
899	C₂²×C₃	—	2	1	no	—
900	C₂²×C₃	—	2	1	no	—
901	C₂²×C₃	—	2	4	no	—
902	C₂²×C₃	—	2	4	no	—
903	C₂²×C₃	—	2	4	no	—
904	C₂²×C₃	—	2	4	no	—
905	C₂²×C₃	—	2	4	no	—
906	C₂²×C₃	—	2	4	no	—
907	C₂²×C₃	—	2	2	no	—
908	C₂²×C₃	—	2	1	no	—
909	C₂²×C₃	—	3	4	no	—
910	C₂²×C₃	—	3	4	no	—
911	C₂²×C₃	—	4	1	no	—
912	C₂²×C₃	—	4	1	no	—
913	C₂²×C₃	—	4	4	no	—
914	C₂²×C₃	—	4	4	no	—
915	C₂²×C₃	—	4	4	no	—
916	C₂²×C₃	—	6	2	no	—
917	C₂²×C₃	—	6	2	no	—
918	C₂²×C₃	—	6	2	no	—
919	C₂²×C₃	—	6	2	no	—
920	C₂²×C₃	—	6	2	no	—
921	C₂²×C₃	—	6	2	no	—
922	C₂²×C₃	—	6	2	no	—
923	C₂²×C₃	—	12	8	no	—
924	C₂²×C₃	—	12	16	no	—
925	C₂²×C₃	C₂×D₃×D₄	1	2	yes	—
926	C₂²×C₃	C₂²×C₃×D₄	1	2	yes	—
927	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
928	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
929	C₂×D₃	—	2	2	no	—
930	C₂×D₃	—	2	2	no	—
931	C₂×D₃	—	2	2	no	—
932	C₂×D₃	—	2	2	no	—
933	C₂×D₃	—	2	2	no	—
934	C₂×D₃	—	2	2	no	—
935	C₂×D₃	—	2	2	no	—
936	C₂×D₃	—	4	16	no	—
937	C₂×D₃	—	4	8	no	—
938	C₂×D₃	C₂²×C₃×D₄	1	4	yes	—
939	C₂×D₃	C₂×C₃×#41	1	4	yes	complemented
940	C₃×C₄	—	2	2	no	—
941	C₃×C₄	—	2	4	no	—
942	C₃×C₄	—	2	1	no	—
943	C₃×C₄	—	2	1	no	—
944	C₃×C₄	—	2	1	no	—
945	C₃×C₄	—	2	4	no	—
946	C₃×C₄	—	2	1	no	—
947	C₃×C₄	—	2	1	no	—
948	C₃×C₄	—	2	1	no	—
949	C₃×C₄	—	2	2	no	—
950	C₃×C₄	—	2	2	no	—
951	C₃×C₄	—	2	2	no	—
952	C₃×C₄	—	3	4	no	—
953	C₃×C₄	—	4	4	no	—
954	C₃×C₄	—	4	1	no	—
955	C₃×C₄	—	4	1	no	—
956	C₃×C₄	—	6	2	no	—
957	C₃×C₄	—	6	2	no	—
958	C₃×C₄	—	6	2	no	—
959	C₃×C₄	—	6	2	no	—
960	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
961	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
962	C₃×C₄	D₃×#41	1	2	yes	complemented
963	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
964	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
965	C₃×C₄	C₂×C₃×#41	1	2	yes	complemented
966	Dic₃	—	2	2	no	—
967	Dic₃	—	2	2	no	—
968	Dic₃	—	2	2	no	—
969	Dic₃	—	2	2	no	—
970	Dic₃	C₂²×C₃×D₄	1	4	yes	—
971	C₃²	D₄×#41	1	1	yes	characteristic, complemented, Sylow
972	C₂³	—	3	2	no	—
973	C₂³	—	3	2	no	—
974	C₂³	—	3	2	no	—
975	C₂³	—	6	8	no	—
976	C₂³	—	6	4	no	—
977	C₂³	—	6	8	no	—
978	C₂³	—	6	4	no	—
979	C₂³	—	12	2	no	—
980	C₂³	—	12	4	no	—
981	C₂³	C₂³×C₃×D₃	1	4	yes	—
982	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
983	Q₈	—	2	4	no	—
984	Q₈	—	3	4	no	—
985	Q₈	—	6	8	no	—
986	D₄	—	2	8	no	—
987	D₄	—	2	4	no	—
988	D₄	—	2	4	no	—
989	D₄	—	3	8	no	—
990	D₄	—	3	4	no	—
991	D₄	—	3	4	no	—
992	D₄	—	4	2	no	—
993	D₄	—	6	8	no	—
994	D₄	—	6	4	no	—
995	D₄	—	6	8	no	—
996	D₄	—	6	8	no	—
997	D₄	—	6	8	no	—
998	D₄	—	6	2	no	—
999	D₄	—	12	4	no	—
1000	C₂×C₄	—	2	8	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	3	2	no	—
1003	C₂×C₄	—	3	8	no	—
1004	C₂×C₄	—	3	2	no	—
1005	C₂×C₄	—	3	2	no	—
1006	C₂×C₄	—	3	2	no	—
1007	C₂×C₄	—	3	2	no	—
1008	C₂×C₄	—	4	1	no	—
1009	C₂×C₄	—	6	8	no	—
1010	C₂×C₄	—	6	8	no	—
1011	C₂×C₄	—	6	8	no	—
1012	C₂×C₄	—	6	4	no	—
1013	C₂×C₄	—	6	4	no	—
1014	C₂×C₄	—	6	4	no	—
1015	C₂×C₄	—	6	4	no	—
1016	C₂×C₄	—	6	4	no	—
1017	C₂×C₄	—	6	4	no	—
1018	C₂×C₄	—	12	2	no	—
1019	C₂×C₄	C₃×D₃×D₄	1	4	yes	complemented
1020	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1021	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1022	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1023	C₂×C₄	C₂³×C₃×D₃	1	4	yes	—
1024	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1025	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1026	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1027	C₂×C₃	—	2	2	no	—
1028	C₂×C₃	—	2	2	no	—
1029	C₂×C₃	—	2	1	no	—
1030	C₂×C₃	—	2	1	no	—
1031	C₂×C₃	—	2	1	no	—
1032	C₂×C₃	—	4	2	no	—
1033	C₂×C₃	—	4	4	no	—
1034	C₂×C₃	—	4	4	no	—
1035	C₂×C₃	—	6	4	no	—
1036	C₂×C₃	—	6	4	no	—
1037	C₂×C₃	—	8	4	no	—
1038	C₂×C₃	—	12	2	no	—
1039	C₂×C₃	C₂²×D₃×D₄	1	1	yes	characteristic
1040	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1041	C₂×C₃	#5964	1	1	yes	characteristic
1042	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
1043	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1044	C₂×C₃	C₃×#585	1	1	yes	characteristic
1045	D₃	—	2	4	no	—
1046	D₃	—	2	4	no	—
1047	D₃	—	4	2	no	—
1048	C₂²	—	2	1	no	—
1049	C₂²	—	2	1	no	—
1050	C₂²	—	2	4	no	—
1051	C₂²	—	2	4	no	—
1052	C₂²	—	2	4	no	—
1053	C₂²	—	3	4	no	—
1054	C₂²	—	3	4	no	—
1055	C₂²	—	6	2	no	—
1056	C₂²	—	6	2	no	—
1057	C₂²	—	6	2	no	—
1058	C₂²	—	6	2	no	—
1059	C₂²	—	6	2	no	—
1060	C₂²	—	6	2	no	—
1061	C₂²	—	6	2	no	—
1062	C₂²	—	12	8	no	—
1063	C₂²	—	12	16	no	—
1064	C₂²	C₂×C₃×D₃×D₄	1	2	yes	—
1065	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1066	C₄	—	2	4	no	—
1067	C₄	—	2	1	no	—
1068	C₄	—	2	1	no	—
1069	C₄	—	2	1	no	—
1070	C₄	—	3	4	no	—
1071	C₄	—	6	2	no	—
1072	C₄	—	6	2	no	—
1073	C₄	—	6	2	no	—
1074	C₄	—	6	2	no	—
1075	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1076	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1077	C₄	C₃×D₃×#41	1	2	yes	complemented
1078	C₃	—	2	1	no	—
1079	C₃	#86238	1	1	yes	characteristic, direct product factor
1080	C₃	C₃×D₄×#41	1	1	yes	characteristic, complemented
1081	C₂	—	2	2	no	—
1082	C₂	—	4	4	no	—
1083	C₂	—	6	4	no	—
1084	C₂	—	6	4	no	—
1085	C₂	—	12	2	no	—
1086	C₂	C₂²×C₃×D₃×D₄	1	1	yes	characteristic
1087	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1088	C₂	C₃×#5964	1	1	yes	characteristic

	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×D₄×#41
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×#5828	C₂	semidirect
4. C₃×#5727	C₂	semidirect
5. C₃×#5726	C₂	semidirect
6. C₃×#5718	C₂	semidirect
7. C₃×#5717	C₂	semidirect
8. C₃×#5677	C₂	semidirect
9. C₃×#5676	C₂	semidirect
10. C₃×#5611	C₂	semidirect
11. C₃×#5610	C₂	semidirect
12. C₃×#5609	C₂	semidirect
13. C₃×#5548	C₂	semidirect
14. C₃×#5547	C₂	semidirect
15. C₃×C₄×D₃×D₄	C₂	semidirect
16. C₃×C₄×#235	C₂	semidirect
17. C₂×C₃×C₄×D₁₂	C₂	semidirect
19. #86238	C₃	direct (N × H)
20. C₂×C₃²×#41	C₂²	semidirect
22. C₂×C₃×#239	C₂²	semidirect
23. C₂×C₃×D₃×Q₈	C₂²	semidirect
24. C₂×C₃×#237	C₂²	semidirect
25. C₂×C₃×#237	C₂²	semidirect
27. C₂×C₃×D₃×D₄	C₂²	semidirect
28. C₂×C₃×D₃×D₄	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×#127	C₂²	semidirect
36. C₃²×#124	C₂²	semidirect
37. C₃²×#121	C₂²	semidirect
38. C₃²×#121	C₂²	semidirect
39. C₃²×C₄×D₄	C₂²	semidirect
40. C₃²×C₄×D₄	C₂²	semidirect
41. C₂×C₃²×C₄²	C₂²	semidirect
42. C₃×#946	C₂²	semidirect
43. C₃×#946	C₂²	semidirect
44. C₃×#940	C₂²	semidirect
45. C₃×#939	C₂²	semidirect
46. C₃×#938	C₂²	semidirect
47. C₃×#938	C₂²	semidirect
48. C₃×#938	C₂²	semidirect
49. C₃×#937	C₂²	semidirect
50. C₃×#937	C₂²	semidirect
51. C₃×#935	C₂²	semidirect
52. C₃×D₄×Dic₃	C₂²	semidirect
53. C₃×C₄×#67	C₂²	semidirect
54. C₃×C₄×#67	C₂²	semidirect
55. C₃×C₄×#67	C₂²	semidirect
56. C₃×C₄×#67	C₂²	semidirect
57. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
58. C₃×#926	C₂²	semidirect
59. C₂×C₃×C₄⋊Dic₃	C₂²	semidirect
60. C₃×#896	C₂²	semidirect
61. C₃×#895	C₂²	semidirect
62. C₃×#894	C₂²	semidirect
64. C₃×D₃×C₄⋊C₄	C₂²	semidirect
65. C₃×#888	C₂²	semidirect
66. C₃×#885	C₂²	semidirect
67. C₃×#884	C₂²	semidirect
68. C₃×#884	C₂²	semidirect
69. C₃×#883	C₂²	semidirect
70. C₃×#882	C₂²	semidirect
71. C₃×#67⋊C₄	C₂²	semidirect
72. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
73. C₃×#878	C₂²	semidirect
76. C₃×C₄×D₁₂	C₂²	semidirect
77. C₃×C₄×D₁₂	C₂²	semidirect
78. C₃×C₄×D₁₂	C₂²	semidirect
79. C₃×C₄×D₁₂	C₂²	semidirect
80. C₃×C₄×D₁₂	C₂²	semidirect
81. C₃×C₄×D₁₂	C₂²	semidirect
82. C₃×#872	C₂²	semidirect
83. C₃×C₄²×D₃	C₂²	semidirect
84. C₃×C₄×Dic₆	C₂²	semidirect
85. C₃×C₄×Dic₆	C₂²	semidirect
87. C₂×D₃×#41	C₂×C₃	semidirect
99. C₃×#532	D₃	semidirect
100. C₃×#532	C₂×C₃	semidirect
106. #5828	C₂×C₃	semidirect
107. #5727	C₂×C₃	semidirect
108. #5726	C₂×C₃	semidirect
109. #5718	C₂×C₃	semidirect
110. #5717	C₂×C₃	semidirect
111. #5677	C₂×C₃	semidirect
112. #5676	C₂×C₃	semidirect
113. #5611	C₂×C₃	semidirect
114. #5610	C₂×C₃	semidirect
115. #5609	C₂×C₃	semidirect
116. #5548	C₂×C₃	semidirect
117. #5547	C₂×C₃	semidirect
118. C₄×D₃×D₄	C₂×C₃	semidirect
119. C₄×#235	C₂×C₃	semidirect
120. C₂×C₄×D₁₂	C₂×C₃	semidirect
148. C₃×#235	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
219. C₂×#237	C₂²×C₃	semidirect
220. C₂×#237	C₂²×C₃	semidirect
222. C₂×D₃×D₄	C₂²×C₃	semidirect
223. C₂×D₃×D₄	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
235. C₃×#127	C₂×D₃	semidirect
236. C₃×#127	C₂²×C₃	semidirect
239. C₃×#124	C₂×D₃	semidirect
240. C₃×#124	C₂²×C₃	semidirect
257. C₃×#121	C₂×D₃	semidirect
258. C₃×#121	C₂×D₃	semidirect
259. C₃×#121	C₂²×C₃	semidirect
260. C₃×#121	C₂²×C₃	semidirect
283. C₃×C₄×D₄	C₂×D₃	semidirect
284. C₃×C₄×D₄	C₂×D₃	semidirect
285. C₃×C₄×D₄	C₂²×C₃	semidirect
286. C₃×C₄×D₄	C₂²×C₃	semidirect
295. C₂×C₃×C₄²	C₂×D₃	semidirect
296. C₂×C₃×C₄²	C₂²×C₃	semidirect
297. #946	C₂²×C₃	semidirect
298. #946	C₂²×C₃	semidirect
299. #940	C₂²×C₃	semidirect
300. #939	C₂²×C₃	semidirect
301. #938	C₂²×C₃	semidirect
302. #938	C₂²×C₃	semidirect
303. #938	C₂²×C₃	semidirect
304. #937	C₂²×C₃	semidirect
305. #937	C₂²×C₃	semidirect
306. #935	C₂²×C₃	semidirect
307. D₄×Dic₃	C₂²×C₃	semidirect
308. C₄×#67	C₂²×C₃	semidirect
309. C₄×#67	C₂²×C₃	semidirect
310. C₄×#67	C₂²×C₃	semidirect
311. C₄×#67	C₂²×C₃	semidirect
312. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
313. #926	C₂²×C₃	semidirect
314. C₂×C₄⋊Dic₃	C₂²×C₃	semidirect
315. #896	C₂²×C₃	semidirect
316. #895	C₂²×C₃	semidirect
317. #894	C₂²×C₃	semidirect
319. D₃×C₄⋊C₄	C₂²×C₃	semidirect
320. #888	C₂²×C₃	semidirect
321. #885	C₂²×C₃	semidirect
322. #884	C₂²×C₃	semidirect
323. #884	C₂²×C₃	semidirect
324. #883	C₂²×C₃	semidirect
325. #882	C₂²×C₃	semidirect
326. #67⋊C₄	C₂²×C₃	semidirect
327. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
328. #878	C₂²×C₃	semidirect
331. C₄×D₁₂	C₂²×C₃	semidirect
332. C₄×D₁₂	C₂²×C₃	semidirect
333. C₄×D₁₂	C₂²×C₃	semidirect
334. C₄×D₁₂	C₂²×C₃	semidirect
335. C₄×D₁₂	C₂²×C₃	semidirect
336. C₄×D₁₂	C₂²×C₃	semidirect
337. #872	C₂²×C₃	semidirect
338. C₄²×D₃	C₂²×C₃	semidirect
339. C₄×Dic₆	C₂²×C₃	semidirect
340. C₄×Dic₆	C₂²×C₃	semidirect
360. C₂×C₃²×C₄	C₂×D₄	semidirect
372. C₃×#67	C₂×D₄	semidirect
383. C₃×D₁₂	C₂×D₄	semidirect
384. C₃×D₁₂	#41	semidirect
393. C₃×C₄×D₃	C₂×D₄	semidirect
395. C₃×Dic₆	C₂×D₄	semidirect
407. #532	C₃×D₃	semidirect
497. #235	C₃×D₄	semidirect
604. C₂×C₃×D₃	C₂×#41	semidirect
611. C₃²×C₄	C₂×#41	semidirect
623. C₂×#41	C₂×C₃×D₃	semidirect
632. C₄⋊Q₈	C₂×C₃×D₃	semidirect
634. #127	C₂×C₃×D₃	semidirect
636. #124	C₂×C₃×D₃	semidirect
651. #121	C₂×C₃×D₃	semidirect
652. #121	C₂×C₃×D₃	semidirect
673. C₄×D₄	C₂×C₃×D₃	semidirect
674. C₄×D₄	C₂×C₃×D₃	semidirect
682. C₂×C₄²	C₂×C₃×D₃	semidirect
767. C₂×C₃×C₄	D₃×D₄	semidirect
768. C₂×C₃×C₄	C₂×C₃×D₄	semidirect
787. #67	C₂×C₃×D₄	semidirect
798. D₁₂	C₂×C₃×D₄	semidirect
799. D₁₂	C₃×#41	semidirect
808. C₄×D₃	C₂×C₃×D₄	semidirect
810. Dic₆	C₂×C₃×D₄	semidirect
939. C₂×D₃	C₂×C₃×#41	semidirect
962. C₃×C₄	D₃×#41	semidirect
965. C₃×C₄	C₂×C₃×#41	semidirect
971. C₃²	D₄×#41	semidirect
1019. C₂×C₄	C₃×D₃×D₄	semidirect
1077. C₄	C₃×D₃×#41	semidirect
1079. C₃	#86238	direct (N × H)
1080. 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×#532	2
C₃×#5828	2
C₃×#5727	2
C₃×#5726	2
C₃×#5718	2
C₃×#5717	2
C₃×#5677	2
C₃×#5676	2
C₃×#5611	2
C₃×#5610	2
C₃×#5609	2
C₃×#5548	2
C₃×#5547	2
C₃×C₄×D₃×D₄	2
C₃×C₄×#235	2
C₂×C₃×C₄×D₁₂	2
C₃×D₄×#41	3
#86238	3

Subgroups — C3×#86238 #11902751

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86238 #11902751