Subgroups — C₃×#41407 #10660014

Order 768.

2450 conjugacy classes of subgroups.

The subgroup lattice has 1122 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#552	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×#546	C₂	1	1	yes	maximal, characteristic
3	C₃×#2820	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2816	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2720	C₂	1	2	yes	maximal, complemented
6	C₃×#2718	C₂	1	2	yes	maximal, complemented
7	C₃×#2711	C₂	1	2	yes	maximal, complemented
8	C₃×#2685	C₂	1	2	yes	maximal, complemented
9	C₃×#2639	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2633	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2632	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2626	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2624	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2580	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2561	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2501	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2482	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2413	C₂	1	2	yes	maximal, complemented
19	C₃×#2411	C₂	1	2	yes	maximal, complemented
20	C₃×#2406	C₂	1	2	yes	maximal, complemented
21	C₃×#2405	C₂	1	2	yes	maximal, complemented
22	C₂×C₃×#399	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2318	C₂	1	1	yes	maximal, characteristic, complemented
24	#41407	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂²×C₃×#41	C₂²	1	1	yes	characteristic
26	C₂³×C₃×D₄	C₂²	1	1	yes	characteristic
27	C₃×#552	—	2	8	no	—
28	C₃×#546	—	2	8	no	—
29	C₂×C₃×#126	C₂²	1	2	yes	complemented
30	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₃×#125	C₂²	1	2	yes	complemented
32	C₂×C₃×#124	C₂²	1	1	yes	characteristic
33	C₂×C₃×#123	C₂²	1	2	yes	—
34	C₂×C₃×#123	C₂²	1	1	yes	characteristic
35	C₂×C₃×#123	C₂²	1	1	yes	characteristic
36	C₂×C₃×#123	C₂²	1	2	yes	—
37	C₂×C₃×#123	C₂²	1	2	yes	complemented
38	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
39	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₃×#121	C₂²	1	1	yes	characteristic
42	C₂×C₃×#121	C₂²	1	1	yes	characteristic
43	C₂×C₃×#121	C₂²	1	1	yes	characteristic
44	C₂×C₃×#120	C₂²	1	1	yes	characteristic
45	C₂×C₃×#120	C₂²	1	1	yes	characteristic
46	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
48	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
49	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₃×#117	C₂²	1	2	yes	complemented
51	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
52	C₂²×C₃×C₄⋊C₄	C₂²	1	2	yes	complemented
53	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
54	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
55	C₂²×C₃×C₂²⋊C₄	C₂²	1	2	yes	—
56	C₃×#400	C₂²	1	2	yes	complemented
57	C₃×#399	C₂²	1	1	yes	characteristic
58	C₃×#399	C₂²	1	2	yes	—
59	C₃×#399	C₂²	1	1	yes	characteristic
60	C₃×#399	C₂²	1	1	yes	characteristic, complemented
61	C₃×#399	C₂²	1	1	yes	characteristic, complemented
62	C₃×#399	C₂²	1	1	yes	characteristic, complemented
63	C₃×#399	C₂²	1	1	yes	characteristic, complemented
64	C₃×#399	C₂²	1	1	yes	characteristic, complemented
65	C₃×#399	C₂²	1	2	yes	complemented
66	C₃×#399	C₂²	1	1	yes	characteristic, complemented
67	C₃×#398	C₂²	1	2	yes	complemented
68	C₃×#398	C₂²	1	2	yes	complemented
69	C₃×#397	C₂²	1	1	yes	characteristic
70	C₃×#397	C₂²	1	1	yes	characteristic, complemented
71	C₃×#397	C₂²	1	1	yes	characteristic, complemented
72	C₃×#397	C₂²	1	1	yes	characteristic, complemented
73	C₃×#396	C₂²	1	2	yes	—
74	C₃×#396	C₂²	1	2	yes	complemented
75	C₃×#396	C₂²	1	2	yes	complemented
76	C₃×#396	C₂²	1	2	yes	complemented
77	C₃×#395	C₂²	1	2	yes	complemented
78	C₃×#395	C₂²	1	2	yes	complemented
79	C₃×#394	C₂²	1	2	yes	—
80	C₃×#394	C₂²	1	2	yes	—
81	C₃×#394	C₂²	1	2	yes	—
82	C₃×#394	C₂²	1	2	yes	—
83	C₃×#394	C₂²	1	2	yes	—
84	C₃×#394	C₂²	1	2	yes	complemented
85	C₃×#394	C₂²	1	2	yes	complemented
86	C₃×#394	C₂²	1	2	yes	complemented
87	C₃×#394	C₂²	1	2	yes	complemented
88	C₃×#393	C₂²	1	1	yes	characteristic
89	C₃×#393	C₂²	1	1	yes	characteristic, complemented
90	C₃×#393	C₂²	1	1	yes	characteristic, complemented
91	C₃×#393	C₂²	1	1	yes	characteristic, complemented
92	C₃×#390	C₂²	1	2	yes	—
93	C₃×#390	C₂²	1	2	yes	complemented
94	C₃×#390	C₂²	1	2	yes	complemented
95	C₃×#389	C₂²	1	2	yes	complemented
96	C₃×#389	C₂²	1	2	yes	complemented
97	C₃×#388	C₂²	1	2	yes	—
98	C₃×#388	C₂²	1	2	yes	—
99	C₃×#388	C₂²	1	2	yes	complemented
100	C₃×#388	C₂²	1	2	yes	complemented
101	C₃×#388	C₂²	1	2	yes	complemented
102	C₃×#388	C₂²	1	2	yes	complemented
103	C₃×#388	C₂²	1	2	yes	complemented
104	C₃×#387	C₂²	1	2	yes	complemented
105	C₃×#386	C₂²	1	2	yes	—
106	C₃×#386	C₂²	1	2	yes	—
107	C₃×#386	C₂²	1	2	yes	complemented
108	C₃×#385	C₂²	1	2	yes	—
109	C₃×#385	C₂²	1	2	yes	—
110	C₃×#385	C₂²	1	2	yes	complemented
111	C₃×#385	C₂²	1	2	yes	complemented
112	C₃×#385	C₂²	1	2	yes	complemented
113	C₃×#385	C₂²	1	2	yes	complemented
114	C₃×#385	C₂²	1	2	yes	complemented
115	C₃×#384	C₂²	1	2	yes	complemented
116	C₃×#383	C₂²	1	1	yes	characteristic, complemented
117	C₃×#382	C₂²	1	1	yes	characteristic, complemented
118	C₃×#381	C₂²	1	2	yes	complemented
119	C₃×#381	C₂²	1	1	yes	characteristic, complemented
120	C₃×#380	C₂²	1	1	yes	characteristic, complemented
121	C₃×#379	C₂²	1	2	yes	—
122	C₃×#379	C₂²	1	2	yes	—
123	C₃×#379	C₂²	1	2	yes	—
124	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
125	C₂×C₃×#95	C₂²	1	1	yes	characteristic, complemented
126	C₂×#552	C₂×C₃	1	1	yes	characteristic, complemented
127	C₂×#546	C₂×C₃	1	1	yes	characteristic
128	#2820	C₂×C₃	1	1	yes	characteristic, complemented
129	#2816	C₂×C₃	1	1	yes	characteristic, complemented
130	#2720	C₂×C₃	1	2	yes	complemented
131	#2718	C₂×C₃	1	2	yes	complemented
132	#2711	C₂×C₃	1	2	yes	complemented
133	#2685	C₂×C₃	1	2	yes	complemented
134	#2639	C₂×C₃	1	1	yes	characteristic, complemented
135	#2633	C₂×C₃	1	1	yes	characteristic, complemented
136	#2632	C₂×C₃	1	1	yes	characteristic, complemented
137	#2626	C₂×C₃	1	1	yes	characteristic, complemented
138	#2624	C₂×C₃	1	1	yes	characteristic, complemented
139	#2580	C₂×C₃	1	1	yes	characteristic, complemented
140	#2561	C₂×C₃	1	1	yes	characteristic, complemented
141	#2501	C₂×C₃	1	1	yes	characteristic, complemented
142	#2482	C₂×C₃	1	1	yes	characteristic, complemented
143	#2413	C₂×C₃	1	2	yes	complemented
144	#2411	C₂×C₃	1	2	yes	complemented
145	#2406	C₂×C₃	1	2	yes	complemented
146	#2405	C₂×C₃	1	2	yes	complemented
147	C₂×#399	C₂×C₃	1	1	yes	characteristic, complemented
148	#2318	C₂×C₃	1	1	yes	characteristic, complemented
149	C₂⁵×C₃	C₂³	1	1	yes	characteristic
150	C₂⁵×C₃	C₂³	1	1	yes	characteristic
151	C₂×C₃×#41	—	2	4	no	—
152	C₂×C₃×#41	—	4	4	no	—
153	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
154	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
155	C₂²×C₃×D₄	—	2	4	no	—
156	C₂²×C₃×D₄	—	4	4	no	—
157	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
158	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
159	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
160	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
161	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
162	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
163	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
164	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
165	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
166	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
167	C₂³×C₃×C₄	C₂³	1	2	yes	—
168	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
169	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
170	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
171	C₂³×C₃×C₄	C₂³	1	2	yes	—
172	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
173	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
174	C₃×#126	—	2	8	no	—
175	C₃×#125	—	2	8	no	—
176	C₃×#125	—	2	4	no	—
177	C₃×#124	—	2	4	no	—
178	C₃×#123	—	2	8	no	—
179	C₃×#123	—	2	4	no	—
180	C₃×#123	—	2	4	no	—
181	C₃×#123	—	4	4	no	—
182	C₃×#123	—	4	4	no	—
183	C₃×C₂²⋊Q₈	—	2	4	no	—
184	C₃×C₂²⋊Q₈	—	2	4	no	—
185	C₃×C₂²⋊Q₈	—	2	4	no	—
186	C₃×#121	—	2	4	no	—
187	C₃×#121	—	2	4	no	—
188	C₃×#121	—	2	4	no	—
189	C₃×#120	—	2	4	no	—
190	C₃×#120	—	2	4	no	—
191	C₃×C₄×Q₈	—	2	4	no	—
192	C₃×C₄×D₄	—	2	4	no	—
193	C₃×C₄×D₄	D₄	1	8	yes	—
194	C₃×#117	—	2	4	no	—
195	C₃×#117	—	2	8	no	—
196	C₂×C₃×C₄⋊C₄	—	2	4	no	—
197	C₂×C₃×C₄⋊C₄	—	4	4	no	—
198	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
203	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
206	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
211	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
217	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
218	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
219	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
220	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
222	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
223	C₂×C₃×C₂²⋊C₄	—	4	4	no	—
224	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
225	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
226	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
227	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
228	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
229	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
237	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
240	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
241	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
242	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
250	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
251	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
252	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
253	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
254	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
255	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
256	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₃×C₄²	C₂³	1	2	yes	—
259	C₂×C₃×C₄²	C₂³	1	2	yes	—
260	C₂×C₃×C₄²	C₂³	1	2	yes	—
261	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
262	C₃×#95	C₂³	1	1	yes	characteristic
263	C₃×#95	C₂³	1	1	yes	characteristic
264	C₃×#95	C₂³	1	2	yes	—
265	C₃×#95	C₂³	1	1	yes	characteristic
266	C₃×#95	C₂³	1	1	yes	characteristic
267	C₃×#95	C₂³	1	2	yes	—
268	C₃×#95	C₂³	1	2	yes	—
269	C₃×#95	C₂³	1	2	yes	—
270	C₃×#95	C₂³	1	2	yes	—
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	C₂²×#41	C₂²×C₃	1	1	yes	characteristic
280	C₂³×D₄	C₂²×C₃	1	1	yes	characteristic
281	#552	—	2	8	no	—
282	#546	—	2	8	no	—
283	C₂×#126	C₂²×C₃	1	2	yes	complemented
284	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
285	C₂×#125	C₂²×C₃	1	2	yes	complemented
286	C₂×#124	C₂²×C₃	1	1	yes	characteristic
287	C₂×#123	C₂²×C₃	1	2	yes	—
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	—
291	C₂×#123	C₂²×C₃	1	2	yes	complemented
292	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
293	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
294	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
295	C₂×#121	C₂²×C₃	1	1	yes	characteristic
296	C₂×#121	C₂²×C₃	1	1	yes	characteristic
297	C₂×#121	C₂²×C₃	1	1	yes	characteristic
298	C₂×#120	C₂²×C₃	1	1	yes	characteristic
299	C₂×#120	C₂²×C₃	1	1	yes	characteristic
300	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
301	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
302	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
303	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
304	C₂×#117	C₂²×C₃	1	2	yes	complemented
305	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
306	C₂²×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
307	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
308	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
309	C₂²×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
310	#400	C₂²×C₃	1	2	yes	complemented
311	#399	C₂²×C₃	1	1	yes	characteristic
312	#399	C₂²×C₃	1	1	yes	characteristic
313	#399	C₂²×C₃	1	2	yes	—
314	#399	C₂²×C₃	1	1	yes	characteristic, complemented
315	#399	C₂²×C₃	1	1	yes	characteristic, complemented
316	#399	C₂²×C₃	1	1	yes	characteristic, complemented
317	#399	C₂²×C₃	1	1	yes	characteristic, complemented
318	#399	C₂²×C₃	1	1	yes	characteristic, complemented
319	#399	C₂²×C₃	1	1	yes	characteristic, complemented
320	#399	C₂²×C₃	1	2	yes	complemented
321	#398	C₂²×C₃	1	2	yes	complemented
322	#398	C₂²×C₃	1	2	yes	complemented
323	#397	C₂²×C₃	1	1	yes	characteristic
324	#397	C₂²×C₃	1	1	yes	characteristic, complemented
325	#397	C₂²×C₃	1	1	yes	characteristic, complemented
326	#397	C₂²×C₃	1	1	yes	characteristic, complemented
327	#396	C₂²×C₃	1	2	yes	—
328	#396	C₂²×C₃	1	2	yes	complemented
329	#396	C₂²×C₃	1	2	yes	complemented
330	#396	C₂²×C₃	1	2	yes	complemented
331	#395	C₂²×C₃	1	2	yes	complemented
332	#395	C₂²×C₃	1	2	yes	complemented
333	#394	C₂²×C₃	1	2	yes	—
334	#394	C₂²×C₃	1	2	yes	—
335	#394	C₂²×C₃	1	2	yes	—
336	#394	C₂²×C₃	1	2	yes	—
337	#394	C₂²×C₃	1	2	yes	—
338	#394	C₂²×C₃	1	2	yes	complemented
339	#394	C₂²×C₃	1	2	yes	complemented
340	#394	C₂²×C₃	1	2	yes	complemented
341	#394	C₂²×C₃	1	2	yes	complemented
342	#393	C₂²×C₃	1	1	yes	characteristic
343	#393	C₂²×C₃	1	1	yes	characteristic, complemented
344	#393	C₂²×C₃	1	1	yes	characteristic, complemented
345	#393	C₂²×C₃	1	1	yes	characteristic, complemented
346	#390	C₂²×C₃	1	2	yes	—
347	#390	C₂²×C₃	1	2	yes	complemented
348	#390	C₂²×C₃	1	2	yes	complemented
349	#389	C₂²×C₃	1	2	yes	complemented
350	#389	C₂²×C₃	1	2	yes	complemented
351	#388	C₂²×C₃	1	2	yes	—
352	#388	C₂²×C₃	1	2	yes	—
353	#388	C₂²×C₃	1	2	yes	complemented
354	#388	C₂²×C₃	1	2	yes	complemented
355	#388	C₂²×C₃	1	2	yes	complemented
356	#388	C₂²×C₃	1	2	yes	complemented
357	#388	C₂²×C₃	1	2	yes	complemented
358	#387	C₂²×C₃	1	2	yes	complemented
359	#386	C₂²×C₃	1	2	yes	—
360	#386	C₂²×C₃	1	2	yes	—
361	#386	C₂²×C₃	1	2	yes	complemented
362	#385	C₂²×C₃	1	2	yes	—
363	#385	C₂²×C₃	1	2	yes	—
364	#385	C₂²×C₃	1	2	yes	complemented
365	#385	C₂²×C₃	1	2	yes	complemented
366	#385	C₂²×C₃	1	2	yes	complemented
367	#385	C₂²×C₃	1	2	yes	complemented
368	#385	C₂²×C₃	1	2	yes	complemented
369	#384	C₂²×C₃	1	2	yes	complemented
370	#383	C₂²×C₃	1	1	yes	characteristic, complemented
371	#382	C₂²×C₃	1	1	yes	characteristic, complemented
372	#381	C₂²×C₃	1	1	yes	characteristic, complemented
373	#381	C₂²×C₃	1	2	yes	complemented
374	#380	C₂²×C₃	1	1	yes	characteristic, complemented
375	#379	C₂²×C₃	1	2	yes	—
376	#379	C₂²×C₃	1	2	yes	—
377	#379	C₂²×C₃	1	2	yes	—
378	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
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	2	no	—
383	C₂⁴×C₃	—	2	4	no	—
384	C₂⁴×C₃	—	2	2	no	—
385	C₂⁴×C₃	—	4	2	no	—
386	C₂⁴×C₃	—	4	1	no	—
387	C₂⁴×C₃	—	4	1	no	—
388	C₂⁴×C₃	—	4	2	no	—
389	C₂⁴×C₃	—	4	2	no	—
390	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
391	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
392	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
393	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
394	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
395	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
396	C₃×#41	—	4	16	no	—
397	C₂×C₃×Q₈	—	2	2	no	—
398	C₂×C₃×Q₈	—	2	2	no	—
399	C₂×C₃×Q₈	—	4	2	no	—
400	C₂×C₃×Q₈	—	4	2	no	—
401	C₂×C₃×D₄	—	2	4	no	—
402	C₂×C₃×D₄	—	2	2	no	—
403	C₂×C₃×D₄	—	2	2	no	—
404	C₂×C₃×D₄	—	2	2	no	—
405	C₂×C₃×D₄	—	2	2	no	—
406	C₂×C₃×D₄	—	2	4	no	—
407	C₂×C₃×D₄	—	2	4	no	—
408	C₂×C₃×D₄	—	2	2	no	—
409	C₂×C₃×D₄	—	2	2	no	—
410	C₂×C₃×D₄	—	2	2	no	—
411	C₂×C₃×D₄	—	2	2	no	—
412	C₂×C₃×D₄	—	2	2	no	—
413	C₂×C₃×D₄	—	4	2	no	—
414	C₂×C₃×D₄	—	4	2	no	—
415	C₂×C₃×D₄	—	4	1	no	—
416	C₂×C₃×D₄	—	4	2	no	—
417	C₂×C₃×D₄	—	4	2	no	—
418	C₂×C₃×D₄	—	4	2	no	—
419	C₂×C₃×D₄	—	4	16	no	—
420	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
421	C₂²×C₃×C₄	—	2	2	no	—
422	C₂²×C₃×C₄	—	2	2	no	—
423	C₂²×C₃×C₄	—	2	4	no	—
424	C₂²×C₃×C₄	—	2	4	no	—
425	C₂²×C₃×C₄	—	2	4	no	—
426	C₂²×C₃×C₄	—	2	4	no	—
427	C₂²×C₃×C₄	—	2	4	no	—
428	C₂²×C₃×C₄	—	2	2	no	—
429	C₂²×C₃×C₄	—	2	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	—	4	2	no	—
435	C₂²×C₃×C₄	—	4	2	no	—
436	C₂²×C₃×C₄	—	4	2	no	—
437	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
438	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
439	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
440	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
441	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
442	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
443	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
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	2	yes	—
450	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
451	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
452	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
453	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
454	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
455	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
456	C₃×C₄⋊C₄	—	2	2	no	—
457	C₃×C₄⋊C₄	—	2	2	no	—
458	C₃×C₄⋊C₄	—	2	4	no	—
459	C₃×C₄⋊C₄	—	2	2	no	—
460	C₃×C₄⋊C₄	—	2	4	no	—
461	C₃×C₄⋊C₄	—	2	4	no	—
462	C₃×C₄⋊C₄	—	2	2	no	—
463	C₃×C₄⋊C₄	—	2	4	no	—
464	C₃×C₄⋊C₄	—	2	2	no	—
465	C₃×C₄⋊C₄	—	2	2	no	—
466	C₃×C₄⋊C₄	—	2	4	no	—
467	C₃×C₄⋊C₄	—	2	4	no	—
468	C₃×C₄⋊C₄	—	4	2	no	—
469	C₃×C₄⋊C₄	—	4	2	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	—	4	2	no	—
475	C₃×C₄⋊C₄	—	4	2	no	—
476	C₃×C₄⋊C₄	—	4	2	no	—
477	C₃×C₄⋊C₄	—	4	2	no	—
478	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
479	C₃×C₂²⋊C₄	—	2	4	no	—
480	C₃×C₂²⋊C₄	—	2	4	no	—
481	C₃×C₂²⋊C₄	—	2	4	no	—
482	C₃×C₂²⋊C₄	—	2	4	no	—
483	C₃×C₂²⋊C₄	—	2	4	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	2	no	—
490	C₃×C₂²⋊C₄	—	2	2	no	—
491	C₃×C₂²⋊C₄	—	2	2	no	—
492	C₃×C₂²⋊C₄	—	2	2	no	—
493	C₃×C₂²⋊C₄	—	2	2	no	—
494	C₃×C₂²⋊C₄	—	4	2	no	—
495	C₃×C₂²⋊C₄	—	4	2	no	—
496	C₃×C₂²⋊C₄	—	4	2	no	—
497	C₃×C₂²⋊C₄	—	4	2	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	—	4	2	no	—
505	C₃×C₂²⋊C₄	—	4	2	no	—
506	C₃×C₂²⋊C₄	—	4	2	no	—
507	C₃×C₂²⋊C₄	—	4	2	no	—
508	C₃×C₂²⋊C₄	—	4	2	no	—
509	C₃×C₂²⋊C₄	—	4	2	no	—
510	C₃×C₂²⋊C₄	—	4	2	no	—
511	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
512	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
513	C₃×C₄²	—	2	4	no	—
514	C₃×C₄²	—	2	4	no	—
515	C₃×C₄²	—	4	2	no	—
516	C₃×C₄²	C₂×D₄	1	4	yes	—
517	C₂⁵	C₂³×C₃	1	1	yes	characteristic
518	C₂⁵	C₂³×C₃	1	1	yes	characteristic
519	C₂×#41	—	2	4	no	—
520	C₂×#41	—	4	4	no	—
521	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
522	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
523	C₂²×D₄	—	2	4	no	—
524	C₂²×D₄	—	4	4	no	—
525	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
526	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
527	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
528	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
529	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
530	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
531	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
532	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
533	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
534	C₂³×C₄	C₂³×C₃	1	2	yes	—
535	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
536	C₂³×C₄	C₂³×C₃	1	2	yes	—
537	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
538	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
539	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
540	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
541	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
542	#126	—	2	8	no	—
543	#125	—	2	8	no	—
544	#125	—	2	4	no	—
545	#124	—	2	4	no	—
546	#123	—	2	8	no	—
547	#123	—	2	4	no	—
548	#123	—	2	4	no	—
549	#123	—	4	4	no	—
550	#123	—	4	4	no	—
551	C₂²⋊Q₈	—	2	4	no	—
552	C₂²⋊Q₈	—	2	4	no	—
553	C₂²⋊Q₈	—	2	4	no	—
554	#121	—	2	4	no	—
555	#121	—	2	4	no	—
556	#121	—	2	4	no	—
557	#120	—	2	4	no	—
558	#120	—	2	4	no	—
559	C₄×Q₈	—	2	4	no	—
560	C₄×D₄	—	2	4	no	—
561	C₄×D₄	C₃×D₄	1	8	yes	—
562	#117	—	2	4	no	—
563	#117	—	2	8	no	—
564	C₂×C₄⋊C₄	—	2	4	no	—
565	C₂×C₄⋊C₄	—	4	4	no	—
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	2	yes	—
569	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
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	1	yes	characteristic
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	2	yes	—
583	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
584	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
585	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
586	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
587	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
588	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
589	C₂×C₂²⋊C₄	—	2	4	no	—
590	C₂×C₂²⋊C₄	—	2	4	no	—
591	C₂×C₂²⋊C₄	—	4	4	no	—
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	1	yes	characteristic
598	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
599	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
600	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
601	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
602	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
603	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
616	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
617	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
618	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
619	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
620	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
621	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
622	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
623	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
624	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
625	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
626	C₂×C₄²	C₂³×C₃	1	2	yes	—
627	C₂×C₄²	C₂³×C₃	1	2	yes	—
628	C₂×C₄²	C₂³×C₃	1	2	yes	—
629	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
630	#95	C₂³×C₃	1	1	yes	characteristic
631	#95	C₂³×C₃	1	1	yes	characteristic
632	#95	C₂³×C₃	1	2	yes	—
633	#95	C₂³×C₃	1	1	yes	characteristic
634	#95	C₂³×C₃	1	1	yes	characteristic
635	#95	C₂³×C₃	1	2	yes	—
636	#95	C₂³×C₃	1	2	yes	—
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	#95	C₂³×C₃	1	2	yes	—
646	#95	C₂³×C₃	1	2	yes	—
647	C₂³×C₃	—	2	1	no	—
648	C₂³×C₃	—	2	2	no	—
649	C₂³×C₃	—	2	1	no	—
650	C₂³×C₃	—	2	1	no	—
651	C₂³×C₃	—	2	2	no	—
652	C₂³×C₃	—	2	2	no	—
653	C₂³×C₃	—	2	1	no	—
654	C₂³×C₃	—	2	1	no	—
655	C₂³×C₃	—	2	2	no	—
656	C₂³×C₃	—	2	2	no	—
657	C₂³×C₃	—	2	1	no	—
658	C₂³×C₃	—	2	1	no	—
659	C₂³×C₃	—	2	1	no	—
660	C₂³×C₃	—	2	1	no	—
661	C₂³×C₃	—	2	2	no	—
662	C₂³×C₃	—	2	2	no	—
663	C₂³×C₃	—	2	2	no	—
664	C₂³×C₃	—	2	1	no	—
665	C₂³×C₃	—	2	1	no	—
666	C₂³×C₃	—	2	1	no	—
667	C₂³×C₃	—	2	1	no	—
668	C₂³×C₃	—	2	1	no	—
669	C₂³×C₃	—	2	1	no	—
670	C₂³×C₃	—	2	2	no	—
671	C₂³×C₃	—	2	2	no	—
672	C₂³×C₃	—	2	2	no	—
673	C₂³×C₃	—	4	4	no	—
674	C₂³×C₃	—	4	8	no	—
675	C₂³×C₃	—	4	4	no	—
676	C₂³×C₃	—	4	4	no	—
677	C₂³×C₃	—	4	4	no	—
678	C₂³×C₃	—	8	2	no	—
679	C₂³×C₃	—	8	4	no	—
680	C₂³×C₃	—	8	2	no	—
681	C₂³×C₃	—	8	4	no	—
682	C₂³×C₃	—	8	4	no	—
683	C₂³×C₃	C₂²×D₄	1	2	yes	—
684	C₂³×C₃	C₂²×D₄	1	2	yes	—
685	C₂³×C₃	H(5,𝔽₂)	1	4	yes	—
686	C₂³×C₃	2₋¹⁺⁴	1	2	yes	—
687	C₂³×C₃	C₂⁵	1	1	yes	characteristic
688	C₃×Q₈	—	4	4	no	—
689	C₃×Q₈	—	4	4	no	—
690	C₃×D₄	—	2	8	no	—
691	C₃×D₄	—	4	4	no	—
692	C₃×D₄	—	4	4	no	—
693	C₃×D₄	—	4	4	no	—
694	C₃×D₄	—	4	4	no	—
695	C₃×D₄	—	4	4	no	—
696	C₃×D₄	—	4	4	no	—
697	C₃×D₄	—	8	2	no	—
698	C₃×D₄	—	8	2	no	—
699	C₂×C₃×C₄	—	2	2	no	—
700	C₂×C₃×C₄	—	2	1	no	—
701	C₂×C₃×C₄	—	2	2	no	—
702	C₂×C₃×C₄	—	2	1	no	—
703	C₂×C₃×C₄	—	2	2	no	—
704	C₂×C₃×C₄	—	2	2	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	1	no	—
709	C₂×C₃×C₄	—	2	1	no	—
710	C₂×C₃×C₄	—	2	1	no	—
711	C₂×C₃×C₄	—	2	2	no	—
712	C₂×C₃×C₄	—	2	1	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	2	no	—
717	C₂×C₃×C₄	—	2	2	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	2	no	—
723	C₂×C₃×C₄	—	2	2	no	—
724	C₂×C₃×C₄	—	2	2	no	—
725	C₂×C₃×C₄	—	2	2	no	—
726	C₂×C₃×C₄	—	2	2	no	—
727	C₂×C₃×C₄	—	2	2	no	—
728	C₂×C₃×C₄	—	2	2	no	—
729	C₂×C₃×C₄	—	2	2	no	—
730	C₂×C₃×C₄	—	2	2	no	—
731	C₂×C₃×C₄	—	2	2	no	—
732	C₂×C₃×C₄	—	2	2	no	—
733	C₂×C₃×C₄	—	2	2	no	—
734	C₂×C₃×C₄	—	2	2	no	—
735	C₂×C₃×C₄	—	2	2	no	—
736	C₂×C₃×C₄	—	2	2	no	—
737	C₂×C₃×C₄	—	4	4	no	—
738	C₂×C₃×C₄	—	4	4	no	—
739	C₂×C₃×C₄	—	4	4	no	—
740	C₂×C₃×C₄	—	4	4	no	—
741	C₂×C₃×C₄	—	4	8	no	—
742	C₂×C₃×C₄	—	4	4	no	—
743	C₂×C₃×C₄	—	4	8	no	—
744	C₂×C₃×C₄	—	4	4	no	—
745	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
746	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
747	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
748	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
749	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
750	C₂⁴	—	2	2	no	—
751	C₂⁴	—	2	2	no	—
752	C₂⁴	—	2	2	no	—
753	C₂⁴	—	2	4	no	—
754	C₂⁴	—	2	2	no	—
755	C₂⁴	—	4	2	no	—
756	C₂⁴	—	4	2	no	—
757	C₂⁴	—	4	1	no	—
758	C₂⁴	—	4	1	no	—
759	C₂⁴	—	4	2	no	—
760	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
761	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
762	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
763	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
764	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
765	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
766	#41	—	4	16	no	—
767	C₂×Q₈	—	2	2	no	—
768	C₂×Q₈	—	2	2	no	—
769	C₂×Q₈	—	4	2	no	—
770	C₂×Q₈	—	4	2	no	—
771	C₂×D₄	—	2	4	no	—
772	C₂×D₄	—	2	2	no	—
773	C₂×D₄	—	2	2	no	—
774	C₂×D₄	—	2	2	no	—
775	C₂×D₄	—	2	2	no	—
776	C₂×D₄	—	2	4	no	—
777	C₂×D₄	—	2	4	no	—
778	C₂×D₄	—	2	2	no	—
779	C₂×D₄	—	2	2	no	—
780	C₂×D₄	—	2	2	no	—
781	C₂×D₄	—	2	2	no	—
782	C₂×D₄	—	2	2	no	—
783	C₂×D₄	—	4	2	no	—
784	C₂×D₄	—	4	2	no	—
785	C₂×D₄	—	4	2	no	—
786	C₂×D₄	—	4	1	no	—
787	C₂×D₄	—	4	2	no	—
788	C₂×D₄	—	4	2	no	—
789	C₂×D₄	—	4	16	no	—
790	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
791	C₂²×C₄	—	2	2	no	—
792	C₂²×C₄	—	2	2	no	—
793	C₂²×C₄	—	2	4	no	—
794	C₂²×C₄	—	2	4	no	—
795	C₂²×C₄	—	2	4	no	—
796	C₂²×C₄	—	2	4	no	—
797	C₂²×C₄	—	2	4	no	—
798	C₂²×C₄	—	2	2	no	—
799	C₂²×C₄	—	2	2	no	—
800	C₂²×C₄	—	4	2	no	—
801	C₂²×C₄	—	4	2	no	—
802	C₂²×C₄	—	4	2	no	—
803	C₂²×C₄	—	4	2	no	—
804	C₂²×C₄	—	4	2	no	—
805	C₂²×C₄	—	4	2	no	—
806	C₂²×C₄	—	4	2	no	—
807	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
808	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
809	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
810	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
811	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
812	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
813	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
814	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
815	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
816	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
817	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
818	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
819	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
820	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
821	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
822	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
823	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
824	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
825	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
826	C₄⋊C₄	—	2	2	no	—
827	C₄⋊C₄	—	2	2	no	—
828	C₄⋊C₄	—	2	4	no	—
829	C₄⋊C₄	—	2	2	no	—
830	C₄⋊C₄	—	2	4	no	—
831	C₄⋊C₄	—	2	4	no	—
832	C₄⋊C₄	—	2	2	no	—
833	C₄⋊C₄	—	2	4	no	—
834	C₄⋊C₄	—	2	2	no	—
835	C₄⋊C₄	—	2	2	no	—
836	C₄⋊C₄	—	2	4	no	—
837	C₄⋊C₄	—	2	4	no	—
838	C₄⋊C₄	—	4	2	no	—
839	C₄⋊C₄	—	4	2	no	—
840	C₄⋊C₄	—	4	2	no	—
841	C₄⋊C₄	—	4	2	no	—
842	C₄⋊C₄	—	4	2	no	—
843	C₄⋊C₄	—	4	2	no	—
844	C₄⋊C₄	—	4	2	no	—
845	C₄⋊C₄	—	4	2	no	—
846	C₄⋊C₄	—	4	2	no	—
847	C₄⋊C₄	—	4	2	no	—
848	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
849	C₂²⋊C₄	—	2	4	no	—
850	C₂²⋊C₄	—	2	4	no	—
851	C₂²⋊C₄	—	2	4	no	—
852	C₂²⋊C₄	—	2	4	no	—
853	C₂²⋊C₄	—	2	4	no	—
854	C₂²⋊C₄	—	2	2	no	—
855	C₂²⋊C₄	—	2	2	no	—
856	C₂²⋊C₄	—	2	2	no	—
857	C₂²⋊C₄	—	2	2	no	—
858	C₂²⋊C₄	—	2	2	no	—
859	C₂²⋊C₄	—	2	2	no	—
860	C₂²⋊C₄	—	2	2	no	—
861	C₂²⋊C₄	—	2	2	no	—
862	C₂²⋊C₄	—	2	2	no	—
863	C₂²⋊C₄	—	2	2	no	—
864	C₂²⋊C₄	—	4	2	no	—
865	C₂²⋊C₄	—	4	2	no	—
866	C₂²⋊C₄	—	4	2	no	—
867	C₂²⋊C₄	—	4	2	no	—
868	C₂²⋊C₄	—	4	2	no	—
869	C₂²⋊C₄	—	4	2	no	—
870	C₂²⋊C₄	—	4	2	no	—
871	C₂²⋊C₄	—	4	2	no	—
872	C₂²⋊C₄	—	4	2	no	—
873	C₂²⋊C₄	—	4	2	no	—
874	C₂²⋊C₄	—	4	2	no	—
875	C₂²⋊C₄	—	4	2	no	—
876	C₂²⋊C₄	—	4	2	no	—
877	C₂²⋊C₄	—	4	2	no	—
878	C₂²⋊C₄	—	4	2	no	—
879	C₂²⋊C₄	—	4	2	no	—
880	C₂²⋊C₄	—	4	2	no	—
881	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
882	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
883	C₄²	—	2	4	no	—
884	C₄²	—	2	4	no	—
885	C₄²	—	4	2	no	—
886	C₄²	C₂×C₃×D₄	1	4	yes	—
887	C₂²×C₃	—	2	2	no	—
888	C₂²×C₃	—	2	2	no	—
889	C₂²×C₃	—	2	4	no	—
890	C₂²×C₃	—	2	4	no	—
891	C₂²×C₃	—	2	2	no	—
892	C₂²×C₃	—	2	2	no	—
893	C₂²×C₃	—	2	2	no	—
894	C₂²×C₃	—	2	2	no	—
895	C₂²×C₃	—	2	4	no	—
896	C₂²×C₃	—	4	1	no	—
897	C₂²×C₃	—	4	1	no	—
898	C₂²×C₃	—	4	2	no	—
899	C₂²×C₃	—	4	2	no	—
900	C₂²×C₃	—	4	2	no	—
901	C₂²×C₃	—	4	1	no	—
902	C₂²×C₃	—	4	1	no	—
903	C₂²×C₃	—	4	1	no	—
904	C₂²×C₃	—	4	1	no	—
905	C₂²×C₃	—	4	1	no	—
906	C₂²×C₃	—	4	1	no	—
907	C₂²×C₃	—	4	1	no	—
908	C₂²×C₃	—	4	1	no	—
909	C₂²×C₃	—	4	1	no	—
910	C₂²×C₃	—	4	2	no	—
911	C₂²×C₃	—	4	2	no	—
912	C₂²×C₃	—	4	2	no	—
913	C₂²×C₃	—	4	2	no	—
914	C₂²×C₃	—	4	2	no	—
915	C₂²×C₃	—	4	2	no	—
916	C₂²×C₃	—	8	8	no	—
917	C₂²×C₃	—	8	8	no	—
918	C₂²×C₃	#535	1	4	yes	—
919	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
920	C₂²×C₃	C₂×H(5,𝔽₂)	1	2	yes	—
921	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
922	C₂²×C₃	#585	1	2	yes	—
923	C₂²×C₃	#585	1	1	yes	characteristic
924	C₃×C₄	—	2	2	no	—
925	C₃×C₄	—	2	2	no	—
926	C₃×C₄	—	2	2	no	—
927	C₃×C₄	—	2	2	no	—
928	C₃×C₄	—	2	2	no	—
929	C₃×C₄	—	4	2	no	—
930	C₃×C₄	—	4	2	no	—
931	C₃×C₄	—	4	1	no	—
932	C₃×C₄	—	4	1	no	—
933	C₃×C₄	—	4	1	no	—
934	C₃×C₄	—	4	1	no	—
935	C₃×C₄	—	4	2	no	—
936	C₃×C₄	—	4	2	no	—
937	C₃×C₄	—	4	2	no	—
938	C₃×C₄	—	4	2	no	—
939	C₃×C₄	—	4	2	no	—
940	C₃×C₄	—	4	2	no	—
941	C₂³	—	2	1	no	—
942	C₂³	—	2	2	no	—
943	C₂³	—	2	1	no	—
944	C₂³	—	2	1	no	—
945	C₂³	—	2	2	no	—
946	C₂³	—	2	2	no	—
947	C₂³	—	2	1	no	—
948	C₂³	—	2	1	no	—
949	C₂³	—	2	2	no	—
950	C₂³	—	2	2	no	—
951	C₂³	—	2	1	no	—
952	C₂³	—	2	1	no	—
953	C₂³	—	2	1	no	—
954	C₂³	—	2	1	no	—
955	C₂³	—	2	2	no	—
956	C₂³	—	2	2	no	—
957	C₂³	—	2	2	no	—
958	C₂³	—	2	1	no	—
959	C₂³	—	2	1	no	—
960	C₂³	—	2	1	no	—
961	C₂³	—	2	1	no	—
962	C₂³	—	2	1	no	—
963	C₂³	—	2	1	no	—
964	C₂³	—	2	2	no	—
965	C₂³	—	2	2	no	—
966	C₂³	—	2	2	no	—
967	C₂³	—	4	4	no	—
968	C₂³	—	4	8	no	—
969	C₂³	—	4	4	no	—
970	C₂³	—	4	4	no	—
971	C₂³	—	4	4	no	—
972	C₂³	—	8	2	no	—
973	C₂³	—	8	4	no	—
974	C₂³	—	8	2	no	—
975	C₂³	—	8	4	no	—
976	C₂³	—	8	4	no	—
977	C₂³	C₂²×C₃×D₄	1	2	yes	—
978	C₂³	C₂²×C₃×D₄	1	2	yes	—
979	C₂³	C₃×H(5,𝔽₂)	1	4	yes	—
980	C₂³	C₃×2₋¹⁺⁴	1	2	yes	—
981	C₂³	C₂⁵×C₃	1	1	yes	characteristic
982	Q₈	—	4	4	no	—
983	Q₈	—	4	4	no	—
984	D₄	—	2	8	no	—
985	D₄	—	4	4	no	—
986	D₄	—	4	4	no	—
987	D₄	—	4	4	no	—
988	D₄	—	4	4	no	—
989	D₄	—	4	4	no	—
990	D₄	—	4	4	no	—
991	D₄	—	8	2	no	—
992	D₄	—	8	2	no	—
993	C₂×C₄	—	2	2	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	1	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	2	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	2	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	2	no	—
1010	C₂×C₄	—	2	2	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	2	2	no	—
1019	C₂×C₄	—	2	2	no	—
1020	C₂×C₄	—	2	2	no	—
1021	C₂×C₄	—	2	2	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	2	2	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	4	4	no	—
1032	C₂×C₄	—	4	4	no	—
1033	C₂×C₄	—	4	4	no	—
1034	C₂×C₄	—	4	4	no	—
1035	C₂×C₄	—	4	4	no	—
1036	C₂×C₄	—	4	8	no	—
1037	C₂×C₄	—	4	4	no	—
1038	C₂×C₄	—	4	8	no	—
1039	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1040	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1041	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1042	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1043	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1044	C₂×C₃	—	2	4	no	—
1045	C₂×C₃	—	4	2	no	—
1046	C₂×C₃	—	4	2	no	—
1047	C₂×C₃	—	8	1	no	—
1048	C₂×C₃	—	8	1	no	—
1049	C₂×C₃	—	8	1	no	—
1050	C₂×C₃	C₂×#535	1	1	yes	characteristic
1051	C₂×C₃	#3485	1	1	yes	characteristic
1052	C₂×C₃	#3489	1	1	yes	characteristic
1053	C₂×C₃	#3533	1	2	yes	—
1054	C₂×C₃	#3535	1	2	yes	—
1055	C₂²	—	2	2	no	—
1056	C₂²	—	2	2	no	—
1057	C₂²	—	2	4	no	—
1058	C₂²	—	2	4	no	—
1059	C₂²	—	2	2	no	—
1060	C₂²	—	2	2	no	—
1061	C₂²	—	2	2	no	—
1062	C₂²	—	2	2	no	—
1063	C₂²	—	2	4	no	—
1064	C₂²	—	4	1	no	—
1065	C₂²	—	4	1	no	—
1066	C₂²	—	4	2	no	—
1067	C₂²	—	4	2	no	—
1068	C₂²	—	4	2	no	—
1069	C₂²	—	4	1	no	—
1070	C₂²	—	4	1	no	—
1071	C₂²	—	4	1	no	—
1072	C₂²	—	4	1	no	—
1073	C₂²	—	4	1	no	—
1074	C₂²	—	4	1	no	—
1075	C₂²	—	4	1	no	—
1076	C₂²	—	4	1	no	—
1077	C₂²	—	4	1	no	—
1078	C₂²	—	4	2	no	—
1079	C₂²	—	4	2	no	—
1080	C₂²	—	4	2	no	—
1081	C₂²	—	4	2	no	—
1082	C₂²	—	4	2	no	—
1083	C₂²	—	4	2	no	—
1084	C₂²	—	8	8	no	—
1085	C₂²	—	8	8	no	—
1086	C₂²	C₃×#535	1	4	yes	—
1087	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1088	C₂²	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1089	C₂²	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1090	C₂²	C₃×#585	1	2	yes	—
1091	C₂²	C₃×#585	1	1	yes	characteristic
1092	C₄	—	2	2	no	—
1093	C₄	—	2	2	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	2	2	no	—
1096	C₄	—	2	2	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	1	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	2	no	—
1102	C₄	—	4	2	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	2	no	—
1105	C₄	—	4	2	no	—
1106	C₄	—	4	2	no	—
1107	C₄	—	4	2	no	—
1108	C₄	—	4	2	no	—
1109	C₃	#41407	1	1	yes	characteristic, direct product factor, Sylow
1110	C₂	—	2	4	no	—
1111	C₂	—	4	2	no	—
1112	C₂	—	4	2	no	—
1113	C₂	—	8	1	no	—
1114	C₂	—	8	1	no	—
1115	C₂	—	8	1	no	—
1116	C₂	C₂×C₃×#535	1	1	yes	characteristic
1117	C₂	C₃×#3485	1	1	yes	characteristic
1118	C₂	C₃×#3489	1	1	yes	characteristic
1119	C₂	C₃×#3533	1	2	yes	—
1120	C₂	C₃×#3535	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₂×C₃×#546	C₂
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×#552	C₂	semidirect
3. C₃×#2820	C₂	semidirect
4. C₃×#2816	C₂	semidirect
5. C₃×#2720	C₂	semidirect
6. C₃×#2718	C₂	semidirect
7. C₃×#2711	C₂	semidirect
8. C₃×#2685	C₂	semidirect
9. C₃×#2639	C₂	semidirect
10. C₃×#2633	C₂	semidirect
11. C₃×#2632	C₂	semidirect
12. C₃×#2626	C₂	semidirect
13. C₃×#2624	C₂	semidirect
14. C₃×#2580	C₂	semidirect
15. C₃×#2561	C₂	semidirect
16. C₃×#2501	C₂	semidirect
17. C₃×#2482	C₂	semidirect
18. C₃×#2413	C₂	semidirect
19. C₃×#2411	C₂	semidirect
20. C₃×#2406	C₂	semidirect
21. C₃×#2405	C₂	semidirect
22. C₂×C₃×#399	C₂	semidirect
23. C₃×#2318	C₂	semidirect
24. #41407	C₃	direct (N × H)
29. C₂×C₃×#126	C₂²	semidirect
30. C₂×C₃×#125	C₂²	semidirect
31. C₂×C₃×#125	C₂²	semidirect
37. C₂×C₃×#123	C₂²	semidirect
39. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
40. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
46. C₂×C₃×C₄×Q₈	C₂²	semidirect
49. C₂×C₃×#117	C₂²	semidirect
50. C₂×C₃×#117	C₂²	semidirect
51. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
52. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
56. C₃×#400	C₂²	semidirect
60. C₃×#399	C₂²	semidirect
61. C₃×#399	C₂²	semidirect
62. C₃×#399	C₂²	semidirect
63. C₃×#399	C₂²	semidirect
64. C₃×#399	C₂²	semidirect
65. C₃×#399	C₂²	semidirect
66. C₃×#399	C₂²	semidirect
67. C₃×#398	C₂²	semidirect
68. C₃×#398	C₂²	semidirect
70. C₃×#397	C₂²	semidirect
71. C₃×#397	C₂²	semidirect
72. C₃×#397	C₂²	semidirect
74. C₃×#396	C₂²	semidirect
75. C₃×#396	C₂²	semidirect
76. C₃×#396	C₂²	semidirect
77. C₃×#395	C₂²	semidirect
78. C₃×#395	C₂²	semidirect
84. C₃×#394	C₂²	semidirect
85. C₃×#394	C₂²	semidirect
86. C₃×#394	C₂²	semidirect
87. C₃×#394	C₂²	semidirect
89. C₃×#393	C₂²	semidirect
90. C₃×#393	C₂²	semidirect
91. C₃×#393	C₂²	semidirect
93. C₃×#390	C₂²	semidirect
94. C₃×#390	C₂²	semidirect
95. C₃×#389	C₂²	semidirect
96. C₃×#389	C₂²	semidirect
99. C₃×#388	C₂²	semidirect
100. C₃×#388	C₂²	semidirect
101. C₃×#388	C₂²	semidirect
102. C₃×#388	C₂²	semidirect
103. C₃×#388	C₂²	semidirect
104. C₃×#387	C₂²	semidirect
107. C₃×#386	C₂²	semidirect
110. C₃×#385	C₂²	semidirect
111. C₃×#385	C₂²	semidirect
112. C₃×#385	C₂²	semidirect
113. C₃×#385	C₂²	semidirect
114. C₃×#385	C₂²	semidirect
115. C₃×#384	C₂²	semidirect
116. C₃×#383	C₂²	semidirect
117. C₃×#382	C₂²	semidirect
118. C₃×#381	C₂²	semidirect
119. C₃×#381	C₂²	semidirect
120. C₃×#380	C₂²	semidirect
124. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
125. C₂×C₃×#95	C₂²	semidirect
126. C₂×#552	C₂×C₃	semidirect
128. #2820	C₂×C₃	semidirect
129. #2816	C₂×C₃	semidirect
130. #2720	C₂×C₃	semidirect
131. #2718	C₂×C₃	semidirect
132. #2711	C₂×C₃	semidirect
133. #2685	C₂×C₃	semidirect
134. #2639	C₂×C₃	semidirect
135. #2633	C₂×C₃	semidirect
136. #2632	C₂×C₃	semidirect
137. #2626	C₂×C₃	semidirect
138. #2624	C₂×C₃	semidirect
139. #2580	C₂×C₃	semidirect
140. #2561	C₂×C₃	semidirect
141. #2501	C₂×C₃	semidirect
142. #2482	C₂×C₃	semidirect
143. #2413	C₂×C₃	semidirect
144. #2411	C₂×C₃	semidirect
145. #2406	C₂×C₃	semidirect
146. #2405	C₂×C₃	semidirect
147. C₂×#399	C₂×C₃	semidirect
148. #2318	C₂×C₃	semidirect
283. C₂×#126	C₂²×C₃	semidirect
284. C₂×#125	C₂²×C₃	semidirect
285. C₂×#125	C₂²×C₃	semidirect
291. C₂×#123	C₂²×C₃	semidirect
293. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
294. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
300. C₂×C₄×Q₈	C₂²×C₃	semidirect
303. C₂×#117	C₂²×C₃	semidirect
304. C₂×#117	C₂²×C₃	semidirect
305. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
306. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
310. #400	C₂²×C₃	semidirect
314. #399	C₂²×C₃	semidirect
315. #399	C₂²×C₃	semidirect
316. #399	C₂²×C₃	semidirect
317. #399	C₂²×C₃	semidirect
318. #399	C₂²×C₃	semidirect
319. #399	C₂²×C₃	semidirect
320. #399	C₂²×C₃	semidirect
321. #398	C₂²×C₃	semidirect
322. #398	C₂²×C₃	semidirect
324. #397	C₂²×C₃	semidirect
325. #397	C₂²×C₃	semidirect
326. #397	C₂²×C₃	semidirect
328. #396	C₂²×C₃	semidirect
329. #396	C₂²×C₃	semidirect
330. #396	C₂²×C₃	semidirect
331. #395	C₂²×C₃	semidirect
332. #395	C₂²×C₃	semidirect
338. #394	C₂²×C₃	semidirect
339. #394	C₂²×C₃	semidirect
340. #394	C₂²×C₃	semidirect
341. #394	C₂²×C₃	semidirect
343. #393	C₂²×C₃	semidirect
344. #393	C₂²×C₃	semidirect
345. #393	C₂²×C₃	semidirect
347. #390	C₂²×C₃	semidirect
348. #390	C₂²×C₃	semidirect
349. #389	C₂²×C₃	semidirect
350. #389	C₂²×C₃	semidirect
353. #388	C₂²×C₃	semidirect
354. #388	C₂²×C₃	semidirect
355. #388	C₂²×C₃	semidirect
356. #388	C₂²×C₃	semidirect
357. #388	C₂²×C₃	semidirect
358. #387	C₂²×C₃	semidirect
361. #386	C₂²×C₃	semidirect
364. #385	C₂²×C₃	semidirect
365. #385	C₂²×C₃	semidirect
366. #385	C₂²×C₃	semidirect
367. #385	C₂²×C₃	semidirect
368. #385	C₂²×C₃	semidirect
369. #384	C₂²×C₃	semidirect
370. #383	C₂²×C₃	semidirect
371. #382	C₂²×C₃	semidirect
372. #381	C₂²×C₃	semidirect
373. #381	C₂²×C₃	semidirect
374. #380	C₂²×C₃	semidirect
378. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
379. C₂×#95	C₂²×C₃	semidirect
1109. C₃	#41407	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×#552	2
C₂×C₃×#546	2
C₃×#2820	2
C₃×#2816	2
C₃×#2720	2
C₃×#2718	2
C₃×#2711	2
C₃×#2685	2
C₃×#2639	2
C₃×#2633	2
C₃×#2632	2
C₃×#2626	2
C₃×#2624	2
C₃×#2580	2
C₃×#2561	2
C₃×#2501	2
C₃×#2482	2
C₃×#2413	2
C₃×#2411	2
C₃×#2406	2
C₃×#2405	2
C₂×C₃×#399	2
C₃×#2318	2
#41407	3

Subgroups — C3×#41407 #10660014

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#41407 #10660014