Subgroups — C₃×#35850 #10654457

Order 768.

2418 conjugacy classes of subgroups.

The subgroup lattice has 1098 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×#551	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2664	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2661	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2639	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2611	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2603	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2560	C₂	1	2	yes	maximal, complemented
9	C₃×#2557	C₂	1	2	yes	maximal, complemented
10	C₃×#2543	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2539	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2512	C₂	1	2	yes	maximal, complemented
13	C₃×#2502	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2498	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2425	C₂	1	2	yes	maximal, complemented
16	C₃×#2424	C₂	1	2	yes	maximal, complemented
17	C₃×#2422	C₂	1	2	yes	maximal, complemented
18	C₃×#2395	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2392	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₃×#397	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2359	C₂	1	2	yes	maximal, complemented
22	C₃×#2358	C₂	1	2	yes	maximal, complemented
23	C₃×#2275	C₂	1	1	yes	maximal, characteristic, complemented
24	#35850	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₃×#553	—	2	8	no	—
26	C₃×#551	—	2	8	no	—
27	C₂×C₃×#126	C₂²	1	1	yes	characteristic
28	C₂×C₃×#126	C₂²	1	1	yes	characteristic
29	C₂×C₃×#126	C₂²	1	2	yes	complemented
30	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₃×#124	C₂²	1	1	yes	characteristic
32	C₂×C₃×#123	C₂²	1	1	yes	characteristic
33	C₂×C₃×#123	C₂²	1	1	yes	characteristic
34	C₂×C₃×#123	C₂²	1	1	yes	characteristic
35	C₂×C₃×#123	C₂²	1	2	yes	—
36	C₂×C₃×#123	C₂²	1	2	yes	complemented
37	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
38	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
39	C₂×C₃×#121	C₂²	1	1	yes	characteristic
40	C₂×C₃×#121	C₂²	1	2	yes	—
41	C₂×C₃×#121	C₂²	1	2	yes	—
42	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₃×#120	C₂²	1	1	yes	characteristic
44	C₂×C₃×#120	C₂²	1	2	yes	—
45	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
46	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
47	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
48	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
49	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
50	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₃×#117	C₂²	1	1	yes	characteristic
52	C₂×C₃×#117	C₂²	1	1	yes	characteristic
53	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
54	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
55	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
56	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
57	C₂²×C₃×C₂²⋊C₄	C₂²	1	2	yes	—
58	C₃×#400	C₂²	1	1	yes	characteristic, complemented
59	C₃×#400	C₂²	1	1	yes	characteristic, complemented
60	C₃×#399	C₂²	1	1	yes	characteristic
61	C₃×#399	C₂²	1	1	yes	characteristic
62	C₃×#398	C₂²	1	1	yes	characteristic, complemented
63	C₃×#398	C₂²	1	1	yes	characteristic, complemented
64	C₃×#398	C₂²	1	1	yes	characteristic, complemented
65	C₃×#398	C₂²	1	2	yes	complemented
66	C₃×#398	C₂²	1	1	yes	characteristic, complemented
67	C₃×#397	C₂²	1	1	yes	characteristic
68	C₃×#397	C₂²	1	1	yes	characteristic
69	C₃×#397	C₂²	1	2	yes	—
70	C₃×#397	C₂²	1	1	yes	characteristic
71	C₃×#397	C₂²	1	2	yes	—
72	C₃×#397	C₂²	1	1	yes	characteristic
73	C₃×#397	C₂²	1	2	yes	complemented
74	C₃×#397	C₂²	1	2	yes	complemented
75	C₃×#396	C₂²	1	2	yes	—
76	C₃×#396	C₂²	1	2	yes	complemented
77	C₃×#394	C₂²	1	2	yes	—
78	C₃×#394	C₂²	1	2	yes	—
79	C₃×#394	C₂²	1	1	yes	characteristic, complemented
80	C₃×#394	C₂²	1	1	yes	characteristic, complemented
81	C₃×#394	C₂²	1	2	yes	complemented
82	C₃×#393	C₂²	1	2	yes	complemented
83	C₃×#392	C₂²	1	1	yes	characteristic
84	C₃×#392	C₂²	1	2	yes	—
85	C₃×#392	C₂²	1	1	yes	characteristic
86	C₃×#391	C₂²	1	2	yes	complemented
87	C₃×#390	C₂²	1	2	yes	—
88	C₃×#390	C₂²	1	2	yes	—
89	C₃×#390	C₂²	1	2	yes	—
90	C₃×#390	C₂²	1	2	yes	—
91	C₃×#389	C₂²	1	2	yes	complemented
92	C₃×#389	C₂²	1	2	yes	complemented
93	C₃×#388	C₂²	1	2	yes	—
94	C₃×#388	C₂²	1	2	yes	—
95	C₃×#388	C₂²	1	2	yes	—
96	C₃×#388	C₂²	1	2	yes	complemented
97	C₃×#388	C₂²	1	2	yes	complemented
98	C₃×#388	C₂²	1	2	yes	complemented
99	C₃×#387	C₂²	1	2	yes	complemented
100	C₃×#387	C₂²	1	2	yes	complemented
101	C₃×#386	C₂²	1	2	yes	—
102	C₃×#386	C₂²	1	2	yes	—
103	C₃×#386	C₂²	1	2	yes	—
104	C₃×#386	C₂²	1	2	yes	—
105	C₃×#386	C₂²	1	2	yes	—
106	C₃×#386	C₂²	1	2	yes	complemented
107	C₃×#385	C₂²	1	2	yes	—
108	C₃×#385	C₂²	1	2	yes	—
109	C₃×#385	C₂²	1	2	yes	—
110	C₃×#385	C₂²	1	2	yes	complemented
111	C₃×#384	C₂²	1	2	yes	complemented
112	C₃×#380	C₂²	1	2	yes	complemented
113	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
114	C₃×C₄×C₄⋊C₄	C₂²	1	2	yes	complemented
115	C₃×C₄×C₄⋊C₄	C₂²	1	2	yes	complemented
116	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
117	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
118	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
119	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
120	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
121	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
122	C₃×#376	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₃×#95	C₂²	1	1	yes	characteristic
124	C₂×C₃×#95	C₂²	1	2	yes	—
125	C₂×C₃×#95	C₂²	1	1	yes	characteristic, complemented
126	C₂×#553	C₂×C₃	1	1	yes	characteristic, complemented
127	C₂×#551	C₂×C₃	1	1	yes	characteristic, complemented
128	#2664	C₂×C₃	1	1	yes	characteristic, complemented
129	#2661	C₂×C₃	1	1	yes	characteristic, complemented
130	#2639	C₂×C₃	1	1	yes	characteristic, complemented
131	#2611	C₂×C₃	1	1	yes	characteristic, complemented
132	#2603	C₂×C₃	1	1	yes	characteristic, complemented
133	#2560	C₂×C₃	1	2	yes	complemented
134	#2557	C₂×C₃	1	2	yes	complemented
135	#2543	C₂×C₃	1	1	yes	characteristic, complemented
136	#2539	C₂×C₃	1	1	yes	characteristic, complemented
137	#2512	C₂×C₃	1	2	yes	complemented
138	#2502	C₂×C₃	1	1	yes	characteristic, complemented
139	#2498	C₂×C₃	1	1	yes	characteristic, complemented
140	#2425	C₂×C₃	1	2	yes	complemented
141	#2424	C₂×C₃	1	2	yes	complemented
142	#2422	C₂×C₃	1	2	yes	complemented
143	#2395	C₂×C₃	1	1	yes	characteristic, complemented
144	#2392	C₂×C₃	1	1	yes	characteristic, complemented
145	C₂×#397	C₂×C₃	1	1	yes	characteristic, complemented
146	#2359	C₂×C₃	1	2	yes	complemented
147	#2358	C₂×C₃	1	2	yes	complemented
148	#2275	C₂×C₃	1	1	yes	characteristic, complemented
149	C₂⁵×C₃	C₂³	1	1	yes	characteristic
150	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
151	C₂²×C₃×D₄	C₂³	1	2	yes	—
152	C₂²×C₃×D₄	C₂³	1	2	yes	—
153	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
154	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
155	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
156	C₂²×C₃×D₄	C₂³	1	2	yes	—
157	C₂²×C₃×D₄	C₂³	1	2	yes	—
158	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
159	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
160	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
161	C₂³×C₃×C₄	C₂³	1	2	yes	—
162	C₂³×C₃×C₄	C₂³	1	2	yes	—
163	C₂³×C₃×C₄	C₂³	1	2	yes	—
164	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
165	C₂³×C₃×C₄	C₂³	1	2	yes	—
166	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
167	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
168	C₃×#126	—	2	4	no	—
169	C₃×#126	—	2	8	no	—
170	C₃×#126	—	2	4	no	—
171	C₃×#125	—	2	4	no	—
172	C₃×#124	—	2	4	no	—
173	C₃×#123	—	2	4	no	—
174	C₃×#123	—	2	4	no	—
175	C₃×#123	—	2	4	no	—
176	C₃×#123	—	2	8	no	—
177	C₃×#123	—	2	8	no	—
178	C₃×C₂²⋊Q₈	—	2	4	no	—
179	C₃×C₂²⋊Q₈	—	2	4	no	—
180	C₃×#121	—	2	8	no	—
181	C₃×#121	—	2	4	no	—
182	C₃×#121	—	2	4	no	—
183	C₃×#121	—	4	4	no	—
184	C₃×#120	—	2	4	no	—
185	C₃×#120	—	2	8	no	—
186	C₃×C₄×D₄	—	2	4	no	—
187	C₃×C₄×D₄	—	2	8	no	—
188	C₃×C₄×D₄	—	2	8	no	—
189	C₃×C₄×D₄	—	2	4	no	—
190	C₃×C₄×D₄	—	4	4	no	—
191	C₃×C₄×D₄	D₄	1	8	yes	complemented
192	C₃×#117	—	2	4	no	—
193	C₃×#117	—	2	4	no	—
194	C₃×#117	—	2	4	no	—
195	C₂×C₃×C₄⋊C₄	—	2	4	no	—
196	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
197	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
198	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
199	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
201	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
202	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
205	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
213	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
214	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
215	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
216	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
218	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
219	C₂×C₃×C₂²⋊C₄	—	4	4	no	—
220	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
223	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
226	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
229	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
232	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
233	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
237	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
238	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
244	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
245	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
246	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
247	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
248	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
249	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
252	C₂×C₃×C₄²	C₂³	1	2	yes	—
253	C₂×C₃×C₄²	C₂³	1	2	yes	—
254	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
255	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
256	C₂×C₃×C₄²	C₂³	1	2	yes	—
257	C₂×C₃×C₄²	C₂³	1	2	yes	—
258	C₂×C₃×C₄²	C₂³	1	2	yes	—
259	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
260	C₃×#95	C₂³	1	1	yes	characteristic
261	C₃×#95	C₂³	1	2	yes	—
262	C₃×#95	C₂³	1	1	yes	characteristic
263	C₃×#95	C₂³	1	2	yes	—
264	C₃×#95	C₂³	1	2	yes	—
265	C₃×#95	C₂³	1	2	yes	—
266	C₃×#95	C₂³	1	2	yes	—
267	C₃×#95	C₂³	1	2	yes	—
268	C₃×#95	C₂³	1	1	yes	characteristic
269	C₃×#95	C₂³	1	2	yes	—
270	C₃×#95	C₂³	1	1	yes	characteristic
271	C₃×#95	C₂³	1	2	yes	—
272	C₃×#95	C₂³	1	2	yes	—
273	C₃×#95	C₂³	1	2	yes	—
274	C₃×#95	C₂³	1	2	yes	—
275	C₃×#95	C₂³	1	2	yes	—
276	C₃×#95	C₂³	1	2	yes	—
277	C₃×#95	C₂³	1	2	yes	—
278	C₃×#95	C₂³	1	2	yes	—
279	#553	—	2	8	no	—
280	#551	—	2	8	no	—
281	C₂×#126	C₂²×C₃	1	1	yes	characteristic
282	C₂×#126	C₂²×C₃	1	1	yes	characteristic
283	C₂×#126	C₂²×C₃	1	2	yes	complemented
284	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
285	C₂×#124	C₂²×C₃	1	1	yes	characteristic
286	C₂×#123	C₂²×C₃	1	2	yes	—
287	C₂×#123	C₂²×C₃	1	1	yes	characteristic
288	C₂×#123	C₂²×C₃	1	1	yes	characteristic
289	C₂×#123	C₂²×C₃	1	1	yes	characteristic
290	C₂×#123	C₂²×C₃	1	2	yes	complemented
291	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
292	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
293	C₂×#121	C₂²×C₃	1	1	yes	characteristic
294	C₂×#121	C₂²×C₃	1	2	yes	—
295	C₂×#121	C₂²×C₃	1	2	yes	—
296	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
297	C₂×#120	C₂²×C₃	1	2	yes	—
298	C₂×#120	C₂²×C₃	1	1	yes	characteristic
299	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
300	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
301	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
302	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
303	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
304	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
305	C₂×#117	C₂²×C₃	1	1	yes	characteristic
306	C₂×#117	C₂²×C₃	1	1	yes	characteristic
307	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
308	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
309	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
310	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
311	C₂²×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
312	#400	C₂²×C₃	1	1	yes	characteristic, complemented
313	#400	C₂²×C₃	1	1	yes	characteristic, complemented
314	#399	C₂²×C₃	1	1	yes	characteristic
315	#399	C₂²×C₃	1	1	yes	characteristic
316	#398	C₂²×C₃	1	2	yes	complemented
317	#398	C₂²×C₃	1	1	yes	characteristic, complemented
318	#398	C₂²×C₃	1	1	yes	characteristic, complemented
319	#398	C₂²×C₃	1	1	yes	characteristic, complemented
320	#398	C₂²×C₃	1	1	yes	characteristic, complemented
321	#397	C₂²×C₃	1	2	yes	—
322	#397	C₂²×C₃	1	1	yes	characteristic
323	#397	C₂²×C₃	1	1	yes	characteristic
324	#397	C₂²×C₃	1	1	yes	characteristic
325	#397	C₂²×C₃	1	1	yes	characteristic
326	#397	C₂²×C₃	1	2	yes	—
327	#397	C₂²×C₃	1	2	yes	complemented
328	#397	C₂²×C₃	1	2	yes	complemented
329	#396	C₂²×C₃	1	2	yes	—
330	#396	C₂²×C₃	1	2	yes	complemented
331	#394	C₂²×C₃	1	2	yes	—
332	#394	C₂²×C₃	1	2	yes	—
333	#394	C₂²×C₃	1	1	yes	characteristic, complemented
334	#394	C₂²×C₃	1	1	yes	characteristic, complemented
335	#394	C₂²×C₃	1	2	yes	complemented
336	#393	C₂²×C₃	1	2	yes	complemented
337	#392	C₂²×C₃	1	1	yes	characteristic
338	#392	C₂²×C₃	1	1	yes	characteristic
339	#392	C₂²×C₃	1	2	yes	—
340	#391	C₂²×C₃	1	2	yes	complemented
341	#390	C₂²×C₃	1	2	yes	—
342	#390	C₂²×C₃	1	2	yes	—
343	#390	C₂²×C₃	1	2	yes	—
344	#390	C₂²×C₃	1	2	yes	—
345	#389	C₂²×C₃	1	2	yes	complemented
346	#389	C₂²×C₃	1	2	yes	complemented
347	#388	C₂²×C₃	1	2	yes	—
348	#388	C₂²×C₃	1	2	yes	—
349	#388	C₂²×C₃	1	2	yes	—
350	#388	C₂²×C₃	1	2	yes	complemented
351	#388	C₂²×C₃	1	2	yes	complemented
352	#388	C₂²×C₃	1	2	yes	complemented
353	#387	C₂²×C₃	1	2	yes	complemented
354	#387	C₂²×C₃	1	2	yes	complemented
355	#386	C₂²×C₃	1	2	yes	—
356	#386	C₂²×C₃	1	2	yes	—
357	#386	C₂²×C₃	1	2	yes	—
358	#386	C₂²×C₃	1	2	yes	—
359	#386	C₂²×C₃	1	2	yes	—
360	#386	C₂²×C₃	1	2	yes	complemented
361	#385	C₂²×C₃	1	2	yes	—
362	#385	C₂²×C₃	1	2	yes	—
363	#385	C₂²×C₃	1	2	yes	—
364	#385	C₂²×C₃	1	2	yes	complemented
365	#384	C₂²×C₃	1	2	yes	complemented
366	#380	C₂²×C₃	1	2	yes	complemented
367	C₄×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
368	C₄×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
369	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
370	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
371	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
372	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
373	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
374	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
375	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
376	#376	C₂²×C₃	1	1	yes	characteristic, complemented
377	C₂×#95	C₂²×C₃	1	2	yes	—
378	C₂×#95	C₂²×C₃	1	1	yes	characteristic
379	C₂×#95	C₂²×C₃	1	1	yes	characteristic, complemented
380	C₂⁴×C₃	—	2	2	no	—
381	C₂⁴×C₃	—	2	2	no	—
382	C₂⁴×C₃	—	2	4	no	—
383	C₂⁴×C₃	—	4	2	no	—
384	C₂⁴×C₃	—	4	1	no	—
385	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₃	C₂⁴	1	2	yes	—
387	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
388	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
389	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
390	C₂×C₃×Q₈	—	2	2	no	—
391	C₂×C₃×Q₈	—	4	2	no	—
392	C₂×C₃×D₄	—	2	4	no	—
393	C₂×C₃×D₄	—	2	2	no	—
394	C₂×C₃×D₄	—	2	4	no	—
395	C₂×C₃×D₄	—	2	4	no	—
396	C₂×C₃×D₄	—	2	4	no	—
397	C₂×C₃×D₄	—	2	4	no	—
398	C₂×C₃×D₄	—	2	2	no	—
399	C₂×C₃×D₄	—	2	2	no	—
400	C₂×C₃×D₄	—	2	4	no	—
401	C₂×C₃×D₄	—	2	2	no	—
402	C₂×C₃×D₄	—	2	4	no	—
403	C₂×C₃×D₄	—	2	4	no	—
404	C₂×C₃×D₄	—	4	2	no	—
405	C₂×C₃×D₄	—	4	2	no	—
406	C₂×C₃×D₄	—	4	1	no	—
407	C₂×C₃×D₄	—	4	2	no	—
408	C₂×C₃×D₄	—	4	2	no	—
409	C₂×C₃×D₄	—	4	2	no	—
410	C₂×C₃×D₄	—	4	2	no	—
411	C₂×C₃×D₄	—	4	2	no	—
412	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
413	C₂²×C₃×C₄	—	2	2	no	—
414	C₂²×C₃×C₄	—	2	4	no	—
415	C₂²×C₃×C₄	—	2	2	no	—
416	C₂²×C₃×C₄	—	2	4	no	—
417	C₂²×C₃×C₄	—	2	4	no	—
418	C₂²×C₃×C₄	—	2	2	no	—
419	C₂²×C₃×C₄	—	2	2	no	—
420	C₂²×C₃×C₄	—	2	4	no	—
421	C₂²×C₃×C₄	—	2	4	no	—
422	C₂²×C₃×C₄	—	4	2	no	—
423	C₂²×C₃×C₄	—	4	2	no	—
424	C₂²×C₃×C₄	—	4	1	no	—
425	C₂²×C₃×C₄	—	4	2	no	—
426	C₂²×C₃×C₄	—	4	2	no	—
427	C₂²×C₃×C₄	—	4	2	no	—
428	C₂²×C₃×C₄	—	4	2	no	—
429	C₂²×C₃×C₄	—	4	2	no	—
430	C₂²×C₃×C₄	—	4	2	no	—
431	C₂²×C₃×C₄	—	4	2	no	—
432	C₂²×C₃×C₄	—	4	2	no	—
433	C₂²×C₃×C₄	—	4	2	no	—
434	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
435	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
436	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
437	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
438	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
439	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
440	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
441	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
442	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
443	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
444	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
445	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
446	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
447	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
448	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
449	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
450	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
451	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
452	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
453	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
454	C₃×C₄⋊C₄	—	2	2	no	—
455	C₃×C₄⋊C₄	—	2	2	no	—
456	C₃×C₄⋊C₄	—	2	4	no	—
457	C₃×C₄⋊C₄	—	2	2	no	—
458	C₃×C₄⋊C₄	—	2	2	no	—
459	C₃×C₄⋊C₄	—	2	2	no	—
460	C₃×C₄⋊C₄	—	2	2	no	—
461	C₃×C₄⋊C₄	—	2	2	no	—
462	C₃×C₄⋊C₄	—	2	2	no	—
463	C₃×C₄⋊C₄	—	2	4	no	—
464	C₃×C₄⋊C₄	—	2	4	no	—
465	C₃×C₄⋊C₄	—	2	2	no	—
466	C₃×C₄⋊C₄	—	2	2	no	—
467	C₃×C₄⋊C₄	—	2	4	no	—
468	C₃×C₄⋊C₄	—	2	4	no	—
469	C₃×C₄⋊C₄	—	2	4	no	—
470	C₃×C₄⋊C₄	—	4	2	no	—
471	C₃×C₄⋊C₄	—	4	2	no	—
472	C₃×C₄⋊C₄	—	4	2	no	—
473	C₃×C₄⋊C₄	—	4	2	no	—
474	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
475	C₃×C₂²⋊C₄	—	2	2	no	—
476	C₃×C₂²⋊C₄	—	2	2	no	—
477	C₃×C₂²⋊C₄	—	2	4	no	—
478	C₃×C₂²⋊C₄	—	2	2	no	—
479	C₃×C₂²⋊C₄	—	2	2	no	—
480	C₃×C₂²⋊C₄	—	2	4	no	—
481	C₃×C₂²⋊C₄	—	2	4	no	—
482	C₃×C₂²⋊C₄	—	2	2	no	—
483	C₃×C₂²⋊C₄	—	2	2	no	—
484	C₃×C₂²⋊C₄	—	2	2	no	—
485	C₃×C₂²⋊C₄	—	2	2	no	—
486	C₃×C₂²⋊C₄	—	2	2	no	—
487	C₃×C₂²⋊C₄	—	2	2	no	—
488	C₃×C₂²⋊C₄	—	2	2	no	—
489	C₃×C₂²⋊C₄	—	2	4	no	—
490	C₃×C₂²⋊C₄	—	2	4	no	—
491	C₃×C₂²⋊C₄	—	2	2	no	—
492	C₃×C₂²⋊C₄	—	2	4	no	—
493	C₃×C₂²⋊C₄	—	2	4	no	—
494	C₃×C₂²⋊C₄	—	2	4	no	—
495	C₃×C₂²⋊C₄	—	2	4	no	—
496	C₃×C₂²⋊C₄	—	2	4	no	—
497	C₃×C₂²⋊C₄	—	2	4	no	—
498	C₃×C₂²⋊C₄	—	4	2	no	—
499	C₃×C₂²⋊C₄	—	4	2	no	—
500	C₃×C₂²⋊C₄	—	4	2	no	—
501	C₃×C₂²⋊C₄	—	4	2	no	—
502	C₃×C₂²⋊C₄	—	4	2	no	—
503	C₃×C₂²⋊C₄	—	4	2	no	—
504	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
505	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
506	C₃×C₂²⋊C₄	#41	1	8	yes	—
507	C₃×C₄²	—	2	2	no	—
508	C₃×C₄²	—	2	2	no	—
509	C₃×C₄²	—	2	4	no	—
510	C₃×C₄²	—	2	4	no	—
511	C₃×C₄²	—	4	2	no	—
512	C₃×C₄²	—	4	2	no	—
513	C₃×C₄²	—	4	2	no	—
514	C₃×C₄²	C₂×D₄	1	4	yes	—
515	C₂⁵	C₂³×C₃	1	1	yes	characteristic
516	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
517	C₂²×D₄	C₂³×C₃	1	2	yes	—
518	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
519	C₂²×D₄	C₂³×C₃	1	2	yes	—
520	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
521	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
522	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
523	C₂²×D₄	C₂³×C₃	1	2	yes	—
524	C₂²×D₄	C₂³×C₃	1	2	yes	—
525	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
526	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
527	C₂³×C₄	C₂³×C₃	1	2	yes	—
528	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
529	C₂³×C₄	C₂³×C₃	1	2	yes	—
530	C₂³×C₄	C₂³×C₃	1	2	yes	—
531	C₂³×C₄	C₂³×C₃	1	2	yes	—
532	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
533	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
534	#126	—	2	4	no	—
535	#126	—	2	8	no	—
536	#126	—	2	4	no	—
537	#125	—	2	4	no	—
538	#124	—	2	4	no	—
539	#123	—	2	4	no	—
540	#123	—	2	4	no	—
541	#123	—	2	4	no	—
542	#123	—	2	8	no	—
543	#123	—	2	8	no	—
544	C₂²⋊Q₈	—	2	4	no	—
545	C₂²⋊Q₈	—	2	4	no	—
546	#121	—	2	8	no	—
547	#121	—	2	4	no	—
548	#121	—	2	4	no	—
549	#121	—	4	4	no	—
550	#120	—	2	4	no	—
551	#120	—	2	8	no	—
552	C₄×D₄	—	2	4	no	—
553	C₄×D₄	—	2	8	no	—
554	C₄×D₄	—	2	8	no	—
555	C₄×D₄	—	2	4	no	—
556	C₄×D₄	—	4	4	no	—
557	C₄×D₄	C₃×D₄	1	8	yes	complemented
558	#117	—	2	4	no	—
559	#117	—	2	4	no	—
560	#117	—	2	4	no	—
561	C₂×C₄⋊C₄	—	2	4	no	—
562	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
563	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
564	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
565	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
566	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
567	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
568	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
569	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
570	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
571	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
572	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
573	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
574	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
575	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
576	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
577	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
578	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
579	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
580	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
581	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
582	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
583	C₂×C₂²⋊C₄	—	2	4	no	—
584	C₂×C₂²⋊C₄	—	2	4	no	—
585	C₂×C₂²⋊C₄	—	4	4	no	—
586	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
587	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
588	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
589	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
590	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
591	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
592	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
593	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
594	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
595	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
596	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
597	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
598	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
599	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
600	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
601	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
602	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
603	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
604	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
605	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
606	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
607	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
608	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
609	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
610	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
611	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
612	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
613	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
614	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
615	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
616	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
617	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
618	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
619	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
620	C₂×C₄²	C₂³×C₃	1	2	yes	—
621	C₂×C₄²	C₂³×C₃	1	2	yes	—
622	C₂×C₄²	C₂³×C₃	1	2	yes	—
623	C₂×C₄²	C₂³×C₃	1	2	yes	—
624	C₂×C₄²	C₂³×C₃	1	2	yes	—
625	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
626	#95	C₂³×C₃	1	1	yes	characteristic
627	#95	C₂³×C₃	1	2	yes	—
628	#95	C₂³×C₃	1	1	yes	characteristic
629	#95	C₂³×C₃	1	2	yes	—
630	#95	C₂³×C₃	1	2	yes	—
631	#95	C₂³×C₃	1	2	yes	—
632	#95	C₂³×C₃	1	2	yes	—
633	#95	C₂³×C₃	1	2	yes	—
634	#95	C₂³×C₃	1	1	yes	characteristic
635	#95	C₂³×C₃	1	2	yes	—
636	#95	C₂³×C₃	1	1	yes	characteristic
637	#95	C₂³×C₃	1	2	yes	—
638	#95	C₂³×C₃	1	2	yes	—
639	#95	C₂³×C₃	1	2	yes	—
640	#95	C₂³×C₃	1	2	yes	—
641	#95	C₂³×C₃	1	2	yes	—
642	#95	C₂³×C₃	1	2	yes	—
643	#95	C₂³×C₃	1	2	yes	—
644	#95	C₂³×C₃	1	2	yes	—
645	C₂³×C₃	—	2	1	no	—
646	C₂³×C₃	—	2	2	no	—
647	C₂³×C₃	—	2	1	no	—
648	C₂³×C₃	—	2	1	no	—
649	C₂³×C₃	—	2	2	no	—
650	C₂³×C₃	—	2	2	no	—
651	C₂³×C₃	—	2	1	no	—
652	C₂³×C₃	—	2	2	no	—
653	C₂³×C₃	—	2	1	no	—
654	C₂³×C₃	—	2	2	no	—
655	C₂³×C₃	—	2	1	no	—
656	C₂³×C₃	—	2	1	no	—
657	C₂³×C₃	—	2	2	no	—
658	C₂³×C₃	—	2	2	no	—
659	C₂³×C₃	—	2	2	no	—
660	C₂³×C₃	—	2	2	no	—
661	C₂³×C₃	—	2	1	no	—
662	C₂³×C₃	—	2	2	no	—
663	C₂³×C₃	—	2	2	no	—
664	C₂³×C₃	—	2	2	no	—
665	C₂³×C₃	—	2	2	no	—
666	C₂³×C₃	—	2	2	no	—
667	C₂³×C₃	—	2	1	no	—
668	C₂³×C₃	—	4	4	no	—
669	C₂³×C₃	—	4	8	no	—
670	C₂³×C₃	—	4	4	no	—
671	C₂³×C₃	—	8	2	no	—
672	C₂³×C₃	—	8	4	no	—
673	C₂³×C₃	C₂²×D₄	1	2	yes	—
674	C₂³×C₃	C₂²×D₄	1	2	yes	—
675	C₂³×C₃	C₂×#41	1	4	yes	—
676	C₂³×C₃	H(5,𝔽₂)	1	2	yes	—
677	C₂³×C₃	C₂⁵	1	1	yes	characteristic
678	C₃×Q₈	—	8	2	no	—
679	C₃×D₄	—	2	8	no	—
680	C₃×D₄	—	4	8	no	—
681	C₃×D₄	—	4	4	no	—
682	C₃×D₄	—	4	4	no	—
683	C₃×D₄	—	4	8	no	—
684	C₃×D₄	—	8	4	no	—
685	C₃×D₄	—	8	2	no	—
686	C₃×D₄	—	8	4	no	—
687	C₂×C₃×C₄	—	2	2	no	—
688	C₂×C₃×C₄	—	2	1	no	—
689	C₂×C₃×C₄	—	2	2	no	—
690	C₂×C₃×C₄	—	2	2	no	—
691	C₂×C₃×C₄	—	2	2	no	—
692	C₂×C₃×C₄	—	2	2	no	—
693	C₂×C₃×C₄	—	2	2	no	—
694	C₂×C₃×C₄	—	2	2	no	—
695	C₂×C₃×C₄	—	2	1	no	—
696	C₂×C₃×C₄	—	2	2	no	—
697	C₂×C₃×C₄	—	2	1	no	—
698	C₂×C₃×C₄	—	2	2	no	—
699	C₂×C₃×C₄	—	2	1	no	—
700	C₂×C₃×C₄	—	2	2	no	—
701	C₂×C₃×C₄	—	2	1	no	—
702	C₂×C₃×C₄	—	2	1	no	—
703	C₂×C₃×C₄	—	2	1	no	—
704	C₂×C₃×C₄	—	2	1	no	—
705	C₂×C₃×C₄	—	2	2	no	—
706	C₂×C₃×C₄	—	2	2	no	—
707	C₂×C₃×C₄	—	2	2	no	—
708	C₂×C₃×C₄	—	2	2	no	—
709	C₂×C₃×C₄	—	2	2	no	—
710	C₂×C₃×C₄	—	2	2	no	—
711	C₂×C₃×C₄	—	2	2	no	—
712	C₂×C₃×C₄	—	2	2	no	—
713	C₂×C₃×C₄	—	2	2	no	—
714	C₂×C₃×C₄	—	2	2	no	—
715	C₂×C₃×C₄	—	2	2	no	—
716	C₂×C₃×C₄	—	2	1	no	—
717	C₂×C₃×C₄	—	2	1	no	—
718	C₂×C₃×C₄	—	2	2	no	—
719	C₂×C₃×C₄	—	2	2	no	—
720	C₂×C₃×C₄	—	2	2	no	—
721	C₂×C₃×C₄	—	2	2	no	—
722	C₂×C₃×C₄	—	2	1	no	—
723	C₂×C₃×C₄	—	2	1	no	—
724	C₂×C₃×C₄	—	2	2	no	—
725	C₂×C₃×C₄	—	2	2	no	—
726	C₂×C₃×C₄	—	4	4	no	—
727	C₂×C₃×C₄	—	4	4	no	—
728	C₂×C₃×C₄	—	4	4	no	—
729	C₂×C₃×C₄	—	4	4	no	—
730	C₂×C₃×C₄	—	8	2	no	—
731	C₂×C₃×C₄	—	8	4	no	—
732	C₂×C₃×C₄	—	8	4	no	—
733	C₂×C₃×C₄	—	8	4	no	—
734	C₂×C₃×C₄	—	8	4	no	—
735	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
736	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
737	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
738	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
739	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
740	C₂×C₃×C₄	C₂×#41	1	4	yes	—
741	C₂×C₃×C₄	C₂×#41	1	4	yes	—
742	C₂⁴	—	2	2	no	—
743	C₂⁴	—	2	2	no	—
744	C₂⁴	—	2	4	no	—
745	C₂⁴	—	4	2	no	—
746	C₂⁴	—	4	1	no	—
747	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
748	C₂⁴	C₂⁴×C₃	1	2	yes	—
749	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
750	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
751	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
752	C₂×Q₈	—	2	2	no	—
753	C₂×Q₈	—	4	2	no	—
754	C₂×D₄	—	2	4	no	—
755	C₂×D₄	—	2	2	no	—
756	C₂×D₄	—	2	4	no	—
757	C₂×D₄	—	2	4	no	—
758	C₂×D₄	—	2	4	no	—
759	C₂×D₄	—	2	4	no	—
760	C₂×D₄	—	2	2	no	—
761	C₂×D₄	—	2	2	no	—
762	C₂×D₄	—	2	4	no	—
763	C₂×D₄	—	2	2	no	—
764	C₂×D₄	—	2	4	no	—
765	C₂×D₄	—	2	4	no	—
766	C₂×D₄	—	4	2	no	—
767	C₂×D₄	—	4	2	no	—
768	C₂×D₄	—	4	1	no	—
769	C₂×D₄	—	4	2	no	—
770	C₂×D₄	—	4	2	no	—
771	C₂×D₄	—	4	2	no	—
772	C₂×D₄	—	4	2	no	—
773	C₂×D₄	—	4	2	no	—
774	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
775	C₂²×C₄	—	2	2	no	—
776	C₂²×C₄	—	2	4	no	—
777	C₂²×C₄	—	2	2	no	—
778	C₂²×C₄	—	2	4	no	—
779	C₂²×C₄	—	2	4	no	—
780	C₂²×C₄	—	2	2	no	—
781	C₂²×C₄	—	2	2	no	—
782	C₂²×C₄	—	2	4	no	—
783	C₂²×C₄	—	2	4	no	—
784	C₂²×C₄	—	4	2	no	—
785	C₂²×C₄	—	4	2	no	—
786	C₂²×C₄	—	4	1	no	—
787	C₂²×C₄	—	4	2	no	—
788	C₂²×C₄	—	4	2	no	—
789	C₂²×C₄	—	4	2	no	—
790	C₂²×C₄	—	4	2	no	—
791	C₂²×C₄	—	4	2	no	—
792	C₂²×C₄	—	4	2	no	—
793	C₂²×C₄	—	4	2	no	—
794	C₂²×C₄	—	4	2	no	—
795	C₂²×C₄	—	4	2	no	—
796	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
797	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
798	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
799	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
800	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
801	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
802	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
803	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
804	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
805	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
806	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
807	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
808	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
809	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
810	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
811	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
812	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
813	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
814	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
815	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
816	C₄⋊C₄	—	2	2	no	—
817	C₄⋊C₄	—	2	2	no	—
818	C₄⋊C₄	—	2	4	no	—
819	C₄⋊C₄	—	2	2	no	—
820	C₄⋊C₄	—	2	2	no	—
821	C₄⋊C₄	—	2	2	no	—
822	C₄⋊C₄	—	2	2	no	—
823	C₄⋊C₄	—	2	2	no	—
824	C₄⋊C₄	—	2	2	no	—
825	C₄⋊C₄	—	2	4	no	—
826	C₄⋊C₄	—	2	4	no	—
827	C₄⋊C₄	—	2	2	no	—
828	C₄⋊C₄	—	2	2	no	—
829	C₄⋊C₄	—	2	4	no	—
830	C₄⋊C₄	—	2	4	no	—
831	C₄⋊C₄	—	2	4	no	—
832	C₄⋊C₄	—	4	2	no	—
833	C₄⋊C₄	—	4	2	no	—
834	C₄⋊C₄	—	4	2	no	—
835	C₄⋊C₄	—	4	2	no	—
836	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
837	C₂²⋊C₄	—	2	2	no	—
838	C₂²⋊C₄	—	2	2	no	—
839	C₂²⋊C₄	—	2	4	no	—
840	C₂²⋊C₄	—	2	2	no	—
841	C₂²⋊C₄	—	2	2	no	—
842	C₂²⋊C₄	—	2	4	no	—
843	C₂²⋊C₄	—	2	4	no	—
844	C₂²⋊C₄	—	2	2	no	—
845	C₂²⋊C₄	—	2	2	no	—
846	C₂²⋊C₄	—	2	2	no	—
847	C₂²⋊C₄	—	2	2	no	—
848	C₂²⋊C₄	—	2	2	no	—
849	C₂²⋊C₄	—	2	2	no	—
850	C₂²⋊C₄	—	2	2	no	—
851	C₂²⋊C₄	—	2	4	no	—
852	C₂²⋊C₄	—	2	4	no	—
853	C₂²⋊C₄	—	2	2	no	—
854	C₂²⋊C₄	—	2	4	no	—
855	C₂²⋊C₄	—	2	4	no	—
856	C₂²⋊C₄	—	2	4	no	—
857	C₂²⋊C₄	—	2	4	no	—
858	C₂²⋊C₄	—	2	4	no	—
859	C₂²⋊C₄	—	2	4	no	—
860	C₂²⋊C₄	—	4	2	no	—
861	C₂²⋊C₄	—	4	2	no	—
862	C₂²⋊C₄	—	4	2	no	—
863	C₂²⋊C₄	—	4	2	no	—
864	C₂²⋊C₄	—	4	2	no	—
865	C₂²⋊C₄	—	4	2	no	—
866	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
867	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
868	C₂²⋊C₄	C₃×#41	1	8	yes	—
869	C₄²	—	2	2	no	—
870	C₄²	—	2	2	no	—
871	C₄²	—	2	4	no	—
872	C₄²	—	2	4	no	—
873	C₄²	—	4	2	no	—
874	C₄²	—	4	2	no	—
875	C₄²	—	4	2	no	—
876	C₄²	C₂×C₃×D₄	1	4	yes	—
877	C₂²×C₃	—	2	2	no	—
878	C₂²×C₃	—	2	2	no	—
879	C₂²×C₃	—	2	4	no	—
880	C₂²×C₃	—	2	4	no	—
881	C₂²×C₃	—	2	2	no	—
882	C₂²×C₃	—	2	2	no	—
883	C₂²×C₃	—	2	2	no	—
884	C₂²×C₃	—	2	2	no	—
885	C₂²×C₃	—	2	4	no	—
886	C₂²×C₃	—	4	1	no	—
887	C₂²×C₃	—	4	1	no	—
888	C₂²×C₃	—	4	2	no	—
889	C₂²×C₃	—	4	2	no	—
890	C₂²×C₃	—	4	2	no	—
891	C₂²×C₃	—	4	2	no	—
892	C₂²×C₃	—	4	1	no	—
893	C₂²×C₃	—	4	2	no	—
894	C₂²×C₃	—	4	1	no	—
895	C₂²×C₃	—	4	2	no	—
896	C₂²×C₃	—	4	1	no	—
897	C₂²×C₃	—	4	2	no	—
898	C₂²×C₃	—	4	2	no	—
899	C₂²×C₃	—	4	2	no	—
900	C₂²×C₃	—	4	2	no	—
901	C₂²×C₃	—	4	2	no	—
902	C₂²×C₃	—	4	2	no	—
903	C₂²×C₃	—	8	8	no	—
904	C₂²×C₃	#532	1	4	yes	—
905	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
906	C₂²×C₃	C₂²×#41	1	2	yes	—
907	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
908	C₂²×C₃	#585	1	2	yes	—
909	C₂²×C₃	#585	1	1	yes	characteristic
910	C₃×C₄	—	2	2	no	—
911	C₃×C₄	—	2	2	no	—
912	C₃×C₄	—	2	2	no	—
913	C₃×C₄	—	2	2	no	—
914	C₃×C₄	—	2	2	no	—
915	C₃×C₄	—	2	4	no	—
916	C₃×C₄	—	2	4	no	—
917	C₃×C₄	—	4	1	no	—
918	C₃×C₄	—	4	1	no	—
919	C₃×C₄	—	4	2	no	—
920	C₃×C₄	—	4	1	no	—
921	C₃×C₄	—	4	1	no	—
922	C₃×C₄	—	4	1	no	—
923	C₃×C₄	—	4	2	no	—
924	C₃×C₄	—	4	2	no	—
925	C₃×C₄	—	4	1	no	—
926	C₃×C₄	—	4	2	no	—
927	C₃×C₄	—	4	2	no	—
928	C₂³	—	2	1	no	—
929	C₂³	—	2	2	no	—
930	C₂³	—	2	1	no	—
931	C₂³	—	2	1	no	—
932	C₂³	—	2	2	no	—
933	C₂³	—	2	2	no	—
934	C₂³	—	2	1	no	—
935	C₂³	—	2	2	no	—
936	C₂³	—	2	1	no	—
937	C₂³	—	2	2	no	—
938	C₂³	—	2	1	no	—
939	C₂³	—	2	1	no	—
940	C₂³	—	2	2	no	—
941	C₂³	—	2	2	no	—
942	C₂³	—	2	2	no	—
943	C₂³	—	2	2	no	—
944	C₂³	—	2	1	no	—
945	C₂³	—	2	2	no	—
946	C₂³	—	2	2	no	—
947	C₂³	—	2	2	no	—
948	C₂³	—	2	2	no	—
949	C₂³	—	2	2	no	—
950	C₂³	—	2	1	no	—
951	C₂³	—	4	4	no	—
952	C₂³	—	4	8	no	—
953	C₂³	—	4	4	no	—
954	C₂³	—	8	2	no	—
955	C₂³	—	8	4	no	—
956	C₂³	C₂²×C₃×D₄	1	2	yes	—
957	C₂³	C₂²×C₃×D₄	1	2	yes	—
958	C₂³	C₂×C₃×#41	1	4	yes	—
959	C₂³	C₃×H(5,𝔽₂)	1	2	yes	—
960	C₂³	C₂⁵×C₃	1	1	yes	characteristic
961	Q₈	—	8	2	no	—
962	D₄	—	2	8	no	—
963	D₄	—	4	8	no	—
964	D₄	—	4	4	no	—
965	D₄	—	4	4	no	—
966	D₄	—	4	8	no	—
967	D₄	—	8	4	no	—
968	D₄	—	8	2	no	—
969	D₄	—	8	4	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	1	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	2	2	no	—
975	C₂×C₄	—	2	2	no	—
976	C₂×C₄	—	2	2	no	—
977	C₂×C₄	—	2	2	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	2	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	2	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	2	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	1	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	1	no	—
988	C₂×C₄	—	2	2	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	2	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	2	2	no	—
993	C₂×C₄	—	2	2	no	—
994	C₂×C₄	—	2	2	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	2	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	4	4	no	—
1010	C₂×C₄	—	4	4	no	—
1011	C₂×C₄	—	4	4	no	—
1012	C₂×C₄	—	4	4	no	—
1013	C₂×C₄	—	8	2	no	—
1014	C₂×C₄	—	8	4	no	—
1015	C₂×C₄	—	8	4	no	—
1016	C₂×C₄	—	8	4	no	—
1017	C₂×C₄	—	8	4	no	—
1018	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1019	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1020	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1021	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1022	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1023	C₂×C₄	C₂×C₃×#41	1	4	yes	—
1024	C₂×C₄	C₂×C₃×#41	1	4	yes	—
1025	C₂×C₃	—	2	4	no	—
1026	C₂×C₃	—	4	2	no	—
1027	C₂×C₃	—	4	2	no	—
1028	C₂×C₃	—	8	2	no	—
1029	C₂×C₃	—	8	1	no	—
1030	C₂×C₃	C₂×#532	1	1	yes	characteristic
1031	C₂×C₃	#3485	1	1	yes	characteristic
1032	C₂×C₃	#3488	1	1	yes	characteristic
1033	C₂×C₃	#3513	1	2	yes	—
1034	C₂×C₃	#3521	1	2	yes	—
1035	C₂²	—	2	2	no	—
1036	C₂²	—	2	2	no	—
1037	C₂²	—	2	4	no	—
1038	C₂²	—	2	4	no	—
1039	C₂²	—	2	2	no	—
1040	C₂²	—	2	2	no	—
1041	C₂²	—	2	2	no	—
1042	C₂²	—	2	2	no	—
1043	C₂²	—	2	4	no	—
1044	C₂²	—	4	1	no	—
1045	C₂²	—	4	1	no	—
1046	C₂²	—	4	2	no	—
1047	C₂²	—	4	2	no	—
1048	C₂²	—	4	2	no	—
1049	C₂²	—	4	2	no	—
1050	C₂²	—	4	1	no	—
1051	C₂²	—	4	2	no	—
1052	C₂²	—	4	1	no	—
1053	C₂²	—	4	2	no	—
1054	C₂²	—	4	1	no	—
1055	C₂²	—	4	2	no	—
1056	C₂²	—	4	2	no	—
1057	C₂²	—	4	2	no	—
1058	C₂²	—	4	2	no	—
1059	C₂²	—	4	2	no	—
1060	C₂²	—	4	2	no	—
1061	C₂²	—	8	8	no	—
1062	C₂²	C₃×#532	1	4	yes	—
1063	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1064	C₂²	C₂²×C₃×#41	1	2	yes	—
1065	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1066	C₂²	C₃×#585	1	2	yes	—
1067	C₂²	C₃×#585	1	1	yes	characteristic
1068	C₄	—	2	2	no	—
1069	C₄	—	2	2	no	—
1070	C₄	—	2	2	no	—
1071	C₄	—	2	2	no	—
1072	C₄	—	2	2	no	—
1073	C₄	—	2	4	no	—
1074	C₄	—	2	4	no	—
1075	C₄	—	4	1	no	—
1076	C₄	—	4	1	no	—
1077	C₄	—	4	2	no	—
1078	C₄	—	4	1	no	—
1079	C₄	—	4	1	no	—
1080	C₄	—	4	1	no	—
1081	C₄	—	4	2	no	—
1082	C₄	—	4	2	no	—
1083	C₄	—	4	1	no	—
1084	C₄	—	4	2	no	—
1085	C₄	—	4	2	no	—
1086	C₃	#35850	1	1	yes	characteristic, direct product factor, Sylow
1087	C₂	—	2	4	no	—
1088	C₂	—	4	2	no	—
1089	C₂	—	4	2	no	—
1090	C₂	—	8	1	no	—
1091	C₂	—	8	2	no	—
1092	C₂	C₂×C₃×#532	1	1	yes	characteristic
1093	C₂	C₃×#3485	1	1	yes	characteristic
1094	C₂	C₃×#3488	1	1	yes	characteristic
1095	C₂	C₃×#3513	1	2	yes	—
1096	C₂	C₃×#3521	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#553	C₂	semidirect
2. C₂×C₃×#551	C₂	semidirect
3. C₃×#2664	C₂	semidirect
4. C₃×#2661	C₂	semidirect
5. C₃×#2639	C₂	semidirect
6. C₃×#2611	C₂	semidirect
7. C₃×#2603	C₂	semidirect
8. C₃×#2560	C₂	semidirect
9. C₃×#2557	C₂	semidirect
10. C₃×#2543	C₂	semidirect
11. C₃×#2539	C₂	semidirect
12. C₃×#2512	C₂	semidirect
13. C₃×#2502	C₂	semidirect
14. C₃×#2498	C₂	semidirect
15. C₃×#2425	C₂	semidirect
16. C₃×#2424	C₂	semidirect
17. C₃×#2422	C₂	semidirect
18. C₃×#2395	C₂	semidirect
19. C₃×#2392	C₂	semidirect
20. C₂×C₃×#397	C₂	semidirect
21. C₃×#2359	C₂	semidirect
22. C₃×#2358	C₂	semidirect
23. C₃×#2275	C₂	semidirect
24. #35850	C₃	direct (N × H)
29. C₂×C₃×#126	C₂²	semidirect
30. C₂×C₃×#125	C₂²	semidirect
36. C₂×C₃×#123	C₂²	semidirect
42. C₂×C₃×#121	C₂²	semidirect
50. C₂×C₃×C₄×D₄	C₂²	semidirect
53. C₂×C₃×#117	C₂²	semidirect
58. C₃×#400	C₂²	semidirect
59. C₃×#400	C₂²	semidirect
62. C₃×#398	C₂²	semidirect
63. C₃×#398	C₂²	semidirect
64. C₃×#398	C₂²	semidirect
65. C₃×#398	C₂²	semidirect
66. C₃×#398	C₂²	semidirect
73. C₃×#397	C₂²	semidirect
74. C₃×#397	C₂²	semidirect
76. C₃×#396	C₂²	semidirect
79. C₃×#394	C₂²	semidirect
80. C₃×#394	C₂²	semidirect
81. C₃×#394	C₂²	semidirect
82. C₃×#393	C₂²	semidirect
86. C₃×#391	C₂²	semidirect
91. C₃×#389	C₂²	semidirect
92. C₃×#389	C₂²	semidirect
96. C₃×#388	C₂²	semidirect
97. C₃×#388	C₂²	semidirect
98. C₃×#388	C₂²	semidirect
99. C₃×#387	C₂²	semidirect
100. C₃×#387	C₂²	semidirect
106. C₃×#386	C₂²	semidirect
110. C₃×#385	C₂²	semidirect
111. C₃×#384	C₂²	semidirect
112. C₃×#380	C₂²	semidirect
113. C₃×C₄×C₄⋊C₄	C₂²	semidirect
114. C₃×C₄×C₄⋊C₄	C₂²	semidirect
115. C₃×C₄×C₄⋊C₄	C₂²	semidirect
119. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
120. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
121. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
122. C₃×#376	C₂²	semidirect
125. C₂×C₃×#95	C₂²	semidirect
126. C₂×#553	C₂×C₃	semidirect
127. C₂×#551	C₂×C₃	semidirect
128. #2664	C₂×C₃	semidirect
129. #2661	C₂×C₃	semidirect
130. #2639	C₂×C₃	semidirect
131. #2611	C₂×C₃	semidirect
132. #2603	C₂×C₃	semidirect
133. #2560	C₂×C₃	semidirect
134. #2557	C₂×C₃	semidirect
135. #2543	C₂×C₃	semidirect
136. #2539	C₂×C₃	semidirect
137. #2512	C₂×C₃	semidirect
138. #2502	C₂×C₃	semidirect
139. #2498	C₂×C₃	semidirect
140. #2425	C₂×C₃	semidirect
141. #2424	C₂×C₃	semidirect
142. #2422	C₂×C₃	semidirect
143. #2395	C₂×C₃	semidirect
144. #2392	C₂×C₃	semidirect
145. C₂×#397	C₂×C₃	semidirect
146. #2359	C₂×C₃	semidirect
147. #2358	C₂×C₃	semidirect
148. #2275	C₂×C₃	semidirect
191. C₃×C₄×D₄	D₄	semidirect
283. C₂×#126	C₂²×C₃	semidirect
284. C₂×#125	C₂²×C₃	semidirect
290. C₂×#123	C₂²×C₃	semidirect
296. C₂×#121	C₂²×C₃	semidirect
304. C₂×C₄×D₄	C₂²×C₃	semidirect
307. C₂×#117	C₂²×C₃	semidirect
312. #400	C₂²×C₃	semidirect
313. #400	C₂²×C₃	semidirect
316. #398	C₂²×C₃	semidirect
317. #398	C₂²×C₃	semidirect
318. #398	C₂²×C₃	semidirect
319. #398	C₂²×C₃	semidirect
320. #398	C₂²×C₃	semidirect
327. #397	C₂²×C₃	semidirect
328. #397	C₂²×C₃	semidirect
330. #396	C₂²×C₃	semidirect
333. #394	C₂²×C₃	semidirect
334. #394	C₂²×C₃	semidirect
335. #394	C₂²×C₃	semidirect
336. #393	C₂²×C₃	semidirect
340. #391	C₂²×C₃	semidirect
345. #389	C₂²×C₃	semidirect
346. #389	C₂²×C₃	semidirect
350. #388	C₂²×C₃	semidirect
351. #388	C₂²×C₃	semidirect
352. #388	C₂²×C₃	semidirect
353. #387	C₂²×C₃	semidirect
354. #387	C₂²×C₃	semidirect
360. #386	C₂²×C₃	semidirect
364. #385	C₂²×C₃	semidirect
365. #384	C₂²×C₃	semidirect
366. #380	C₂²×C₃	semidirect
367. C₄×C₄⋊C₄	C₂²×C₃	semidirect
368. C₄×C₄⋊C₄	C₂²×C₃	semidirect
369. C₄×C₄⋊C₄	C₂²×C₃	semidirect
373. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
374. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
375. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
376. #376	C₂²×C₃	semidirect
379. C₂×#95	C₂²×C₃	semidirect
557. C₄×D₄	C₃×D₄	semidirect
1086. C₃	#35850	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×#553	2
C₂×C₃×#551	2
C₃×#2664	2
C₃×#2661	2
C₃×#2639	2
C₃×#2611	2
C₃×#2603	2
C₃×#2560	2
C₃×#2557	2
C₃×#2543	2
C₃×#2539	2
C₃×#2512	2
C₃×#2502	2
C₃×#2498	2
C₃×#2425	2
C₃×#2424	2
C₃×#2422	2
C₃×#2395	2
C₃×#2392	2
C₂×C₃×#397	2
C₃×#2359	2
C₃×#2358	2
C₃×#2275	2
#35850	3

Subgroups — C3×#35850 #10654457

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#35850 #10654457