Subgroups — C₃×#36234 #10654841

Order 768.

2514 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	C₂²×C₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2851	C₂	1	2	yes	maximal, complemented
4	C₃×#2848	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2611	C₂	1	2	yes	maximal, complemented
6	C₃×#2609	C₂	1	2	yes	maximal, complemented
7	C₃×#2499	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2485	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2480	C₂	1	2	yes	maximal, complemented
10	C₃×#2478	C₂	1	2	yes	maximal, complemented
11	C₃×#2470	C₂	1	2	yes	maximal, complemented
12	C₃×#2442	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2441	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2418	C₂	1	2	yes	maximal
15	C₃×#2417	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2415	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2362	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2360	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2352	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×D₄×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2346	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×C₄×#120	C₂	1	1	yes	maximal, characteristic
23	C₃×#2290	C₂	1	2	yes	maximal, complemented
24	#36234	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂⁴×C₃×C₄	C₂²	1	1	yes	characteristic
26	C₃×#552	—	2	8	no	—
27	C₂×C₃×#126	C₂²	1	2	yes	—
28	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₃×#125	C₂²	1	2	yes	complemented
30	C₂×C₃×#123	C₂²	1	2	yes	—
31	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
32	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
33	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃×#120	C₂²	1	1	yes	characteristic
36	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
38	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
39	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
40	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
41	C₂×C₃×#117	—	2	8	no	—
42	C₂×C₃×#117	C₂²	1	1	yes	characteristic
43	C₂×C₃×#117	C₂²	1	1	yes	characteristic
44	C₂×C₃×#117	C₂²	1	2	yes	—
45	C₂×C₃×#117	C₂²	1	1	yes	characteristic
46	C₂×C₃×#117	C₂²	1	2	yes	—
47	C₂×C₃×#117	C₂²	1	1	yes	characteristic
48	C₂×C₃×#117	C₂²	1	2	yes	complemented
49	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
50	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
51	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
52	C₂²×C₃×C₂²⋊C₄	C₂²	1	2	yes	—
53	C₂²×C₃×C₄²	C₂²	1	2	yes	—
54	C₃×#400	C₂²	1	2	yes	complemented
55	C₃×#399	C₂²	1	2	yes	—
56	C₃×#398	C₂²	1	2	yes	complemented
57	C₃×#398	C₂²	1	2	yes	complemented
58	C₃×#397	C₂²	1	2	yes	—
59	C₃×#397	C₂²	1	2	yes	—
60	C₃×#397	C₂²	1	2	yes	—
61	C₃×#397	C₂²	1	2	yes	—
62	C₃×#396	C₂²	1	2	yes	—
63	C₃×#396	C₂²	1	2	yes	complemented
64	C₃×#394	C₂²	1	2	yes	—
65	C₃×#394	C₂²	1	2	yes	—
66	C₃×#391	C₂²	1	1	yes	characteristic, complemented
67	C₃×#391	C₂²	1	1	yes	characteristic, complemented
68	C₃×#389	C₂²	1	1	yes	characteristic, complemented
69	C₃×#389	C₂²	1	2	yes	complemented
70	C₃×#389	C₂²	1	1	yes	characteristic, complemented
71	C₃×#389	C₂²	1	1	yes	characteristic, complemented
72	C₃×#389	C₂²	1	2	yes	complemented
73	C₃×#389	C₂²	1	1	yes	characteristic, complemented
74	C₃×#389	C₂²	1	2	yes	complemented
75	C₃×#389	C₂²	1	2	yes	complemented
76	C₃×#388	C₂²	1	2	yes	—
77	C₃×#388	C₂²	1	2	yes	—
78	C₃×#388	C₂²	1	2	yes	—
79	C₃×#388	C₂²	1	2	yes	—
80	C₃×#388	C₂²	1	2	yes	—
81	C₃×#388	C₂²	1	2	yes	complemented
82	C₃×#388	C₂²	1	2	yes	complemented
83	C₃×#387	C₂²	1	2	yes	complemented
84	C₃×#387	C₂²	1	2	yes	complemented
85	C₃×#387	C₂²	1	2	yes	complemented
86	C₃×#387	C₂²	1	2	yes	complemented
87	C₃×#387	C₂²	1	2	yes	complemented
88	C₃×#387	C₂²	1	2	yes	complemented
89	C₃×#387	C₂²	1	2	yes	complemented
90	C₃×#386	C₂²	1	2	yes	—
91	C₃×#386	C₂²	1	2	yes	—
92	C₃×#386	C₂²	1	1	yes	characteristic
93	C₃×#386	C₂²	1	1	yes	characteristic
94	C₃×#386	C₂²	1	1	yes	characteristic
95	C₃×#385	C₂²	1	2	yes	—
96	C₃×#385	C₂²	1	2	yes	—
97	C₃×#385	C₂²	1	2	yes	—
98	C₃×#385	C₂²	1	1	yes	characteristic
99	C₃×#385	C₂²	1	2	yes	—
100	C₃×#385	C₂²	1	2	yes	—
101	C₃×#385	C₂²	1	1	yes	characteristic
102	C₃×#385	C₂²	1	1	yes	characteristic
103	C₃×#385	C₂²	1	2	yes	—
104	C₃×#385	C₂²	1	2	yes	complemented
105	C₃×#384	C₂²	1	1	yes	characteristic, complemented
106	C₃×#382	C₂²	1	1	yes	characteristic, complemented
107	C₃×#382	C₂²	1	2	yes	complemented
108	C₃×#380	C₂²	1	2	yes	—
109	C₃×#380	C₂²	1	2	yes	—
110	C₃×#380	C₂²	1	1	yes	characteristic
111	C₃×#380	C₂²	1	1	yes	characteristic
112	C₃×#380	C₂²	1	1	yes	characteristic
113	C₃×#380	C₂²	1	1	yes	characteristic, complemented
114	C₃×#380	C₂²	1	1	yes	characteristic, complemented
115	C₃×#379	C₂²	1	2	yes	—
116	C₃×#379	C₂²	1	1	yes	characteristic
117	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
118	C₃×C₄×C₄⋊C₄	C₂²	1	2	yes	complemented
119	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
120	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
121	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
122	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
123	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
124	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
125	C₃×#376	C₂²	1	2	yes	complemented
126	C₂×#552	C₂×C₃	1	1	yes	characteristic, complemented
127	C₂²×#117	C₂×C₃	1	1	yes	characteristic, complemented
128	#2851	C₂×C₃	1	2	yes	complemented
129	#2848	C₂×C₃	1	1	yes	characteristic, complemented
130	#2611	C₂×C₃	1	2	yes	complemented
131	#2609	C₂×C₃	1	2	yes	complemented
132	#2499	C₂×C₃	1	1	yes	characteristic, complemented
133	#2485	C₂×C₃	1	1	yes	characteristic, complemented
134	#2480	C₂×C₃	1	2	yes	complemented
135	#2478	C₂×C₃	1	2	yes	complemented
136	#2470	C₂×C₃	1	2	yes	complemented
137	#2442	C₂×C₃	1	1	yes	characteristic, complemented
138	#2441	C₂×C₃	1	1	yes	characteristic, complemented
139	#2418	C₂×C₃	1	2	yes	—
140	#2417	C₂×C₃	1	1	yes	characteristic, complemented
141	#2415	C₂×C₃	1	1	yes	characteristic, complemented
142	#2362	C₂×C₃	1	1	yes	characteristic, complemented
143	#2360	C₂×C₃	1	1	yes	characteristic, complemented
144	#2352	C₂×C₃	1	1	yes	characteristic, complemented
145	D₄×C₄⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
146	#2346	C₂×C₃	1	1	yes	characteristic, complemented
147	C₄×#120	C₂×C₃	1	1	yes	characteristic
148	#2290	C₂×C₃	1	2	yes	complemented
149	C₂⁵×C₃	C₂³	1	1	yes	characteristic
150	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
151	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
152	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
153	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
154	C₂³×C₃×C₄	—	2	4	no	—
155	C₂³×C₃×C₄	—	2	4	no	—
156	C₂³×C₃×C₄	—	2	4	no	—
157	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
158	C₂³×C₃×C₄	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	1	yes	characteristic
166	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
167	C₃×#126	—	2	8	no	—
168	C₃×#125	—	2	4	no	—
169	C₃×#125	—	2	8	no	—
170	C₃×#123	—	2	8	no	—
171	C₃×C₂²⋊Q₈	—	2	4	no	—
172	C₃×C₂²⋊Q₈	—	2	4	no	—
173	C₃×C₂²⋊Q₈	—	2	4	no	—
174	C₃×C₂²⋊Q₈	—	2	4	no	—
175	C₃×#120	—	2	4	no	—
176	C₃×C₄×Q₈	—	2	4	no	—
177	C₃×C₄×D₄	—	2	8	no	—
178	C₃×C₄×D₄	—	2	4	no	—
179	C₃×C₄×D₄	—	2	4	no	—
180	C₃×C₄×D₄	—	2	4	no	—
181	C₃×#117	—	2	4	no	—
182	C₃×#117	—	2	4	no	—
183	C₃×#117	—	2	4	no	—
184	C₃×#117	—	2	8	no	—
185	C₃×#117	—	2	8	no	—
186	C₃×#117	—	2	8	no	—
187	C₃×#117	D₄	1	8	yes	complemented
188	C₂×C₃×C₄⋊C₄	—	2	4	no	—
189	C₂×C₃×C₄⋊C₄	—	2	4	no	—
190	C₂×C₃×C₄⋊C₄	—	2	4	no	—
191	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
192	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
193	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
194	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
196	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
197	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
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	2	yes	—
208	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
209	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
216	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₃×C₂²⋊C₄	—	2	8	no	—
218	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
225	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
227	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
234	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
235	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
236	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
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×C₄²	—	2	8	no	—
244	C₂×C₃×C₄²	C₂³	1	2	yes	—
245	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₄²	C₂³	1	2	yes	—
249	C₂×C₃×C₄²	C₂³	1	2	yes	—
250	C₂×C₃×C₄²	C₂³	1	2	yes	—
251	C₂×C₃×C₄²	C₂³	1	2	yes	—
252	C₂×C₃×C₄²	C₂³	1	2	yes	—
253	C₂×C₃×C₄²	C₂³	1	2	yes	—
254	C₃×#95	C₂³	1	1	yes	characteristic
255	C₃×#95	C₂³	1	2	yes	—
256	C₃×#95	C₂³	1	2	yes	—
257	C₃×#95	C₂³	1	2	yes	—
258	C₃×#95	C₂³	1	1	yes	characteristic
259	C₃×#95	C₂³	1	1	yes	characteristic
260	C₃×#95	C₂³	1	1	yes	characteristic
261	C₃×#95	C₂³	1	1	yes	characteristic
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	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	C₂⁴×C₄	C₂²×C₃	1	1	yes	characteristic
278	#552	—	2	8	no	—
279	C₂×#126	C₂²×C₃	1	2	yes	—
280	C₂×#125	C₂²×C₃	1	2	yes	complemented
281	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
282	C₂×#123	C₂²×C₃	1	2	yes	—
283	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
284	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
285	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
286	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
287	C₂×#120	C₂²×C₃	1	1	yes	characteristic
288	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
289	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
290	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
291	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
292	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
293	C₂×#117	—	2	8	no	—
294	C₂×#117	C₂²×C₃	1	1	yes	characteristic
295	C₂×#117	C₂²×C₃	1	2	yes	—
296	C₂×#117	C₂²×C₃	1	1	yes	characteristic
297	C₂×#117	C₂²×C₃	1	2	yes	—
298	C₂×#117	C₂²×C₃	1	1	yes	characteristic
299	C₂×#117	C₂²×C₃	1	1	yes	characteristic
300	C₂×#117	C₂²×C₃	1	2	yes	complemented
301	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
302	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
303	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
304	C₂²×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
305	C₂²×C₄²	C₂²×C₃	1	2	yes	—
306	#400	C₂²×C₃	1	2	yes	complemented
307	#399	C₂²×C₃	1	2	yes	—
308	#398	C₂²×C₃	1	2	yes	complemented
309	#398	C₂²×C₃	1	2	yes	complemented
310	#397	C₂²×C₃	1	2	yes	—
311	#397	C₂²×C₃	1	2	yes	—
312	#397	C₂²×C₃	1	2	yes	—
313	#397	C₂²×C₃	1	2	yes	—
314	#396	C₂²×C₃	1	2	yes	—
315	#396	C₂²×C₃	1	2	yes	complemented
316	#394	C₂²×C₃	1	2	yes	—
317	#394	C₂²×C₃	1	2	yes	—
318	#391	C₂²×C₃	1	1	yes	characteristic, complemented
319	#391	C₂²×C₃	1	1	yes	characteristic, complemented
320	#389	C₂²×C₃	1	2	yes	complemented
321	#389	C₂²×C₃	1	2	yes	complemented
322	#389	C₂²×C₃	1	1	yes	characteristic, complemented
323	#389	C₂²×C₃	1	1	yes	characteristic, complemented
324	#389	C₂²×C₃	1	2	yes	complemented
325	#389	C₂²×C₃	1	2	yes	complemented
326	#389	C₂²×C₃	1	1	yes	characteristic, complemented
327	#389	C₂²×C₃	1	1	yes	characteristic, complemented
328	#388	C₂²×C₃	1	2	yes	—
329	#388	C₂²×C₃	1	2	yes	—
330	#388	C₂²×C₃	1	2	yes	—
331	#388	C₂²×C₃	1	2	yes	—
332	#388	C₂²×C₃	1	2	yes	—
333	#388	C₂²×C₃	1	2	yes	complemented
334	#388	C₂²×C₃	1	2	yes	complemented
335	#387	C₂²×C₃	1	2	yes	complemented
336	#387	C₂²×C₃	1	2	yes	complemented
337	#387	C₂²×C₃	1	2	yes	complemented
338	#387	C₂²×C₃	1	2	yes	complemented
339	#387	C₂²×C₃	1	2	yes	complemented
340	#387	C₂²×C₃	1	2	yes	complemented
341	#387	C₂²×C₃	1	2	yes	complemented
342	#386	C₂²×C₃	1	2	yes	—
343	#386	C₂²×C₃	1	1	yes	characteristic
344	#386	C₂²×C₃	1	2	yes	—
345	#386	C₂²×C₃	1	1	yes	characteristic
346	#386	C₂²×C₃	1	1	yes	characteristic
347	#385	C₂²×C₃	1	2	yes	—
348	#385	C₂²×C₃	1	2	yes	—
349	#385	C₂²×C₃	1	2	yes	—
350	#385	C₂²×C₃	1	1	yes	characteristic
351	#385	C₂²×C₃	1	2	yes	—
352	#385	C₂²×C₃	1	2	yes	—
353	#385	C₂²×C₃	1	1	yes	characteristic
354	#385	C₂²×C₃	1	2	yes	—
355	#385	C₂²×C₃	1	1	yes	characteristic
356	#385	C₂²×C₃	1	2	yes	complemented
357	#384	C₂²×C₃	1	1	yes	characteristic, complemented
358	#382	C₂²×C₃	1	2	yes	complemented
359	#382	C₂²×C₃	1	1	yes	characteristic, complemented
360	#380	C₂²×C₃	1	1	yes	characteristic
361	#380	C₂²×C₃	1	1	yes	characteristic
362	#380	C₂²×C₃	1	1	yes	characteristic
363	#380	C₂²×C₃	1	2	yes	—
364	#380	C₂²×C₃	1	2	yes	—
365	#380	C₂²×C₃	1	1	yes	characteristic, complemented
366	#380	C₂²×C₃	1	1	yes	characteristic, complemented
367	#379	C₂²×C₃	1	2	yes	—
368	#379	C₂²×C₃	1	1	yes	characteristic
369	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
370	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
371	C₄×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
372	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
373	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
374	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
375	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
376	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
377	#376	C₂²×C₃	1	2	yes	complemented
378	C₂⁴×C₃	—	2	2	no	—
379	C₂⁴×C₃	—	2	2	no	—
380	C₂⁴×C₃	—	2	2	no	—
381	C₂⁴×C₃	—	2	2	no	—
382	C₂⁴×C₃	—	2	2	no	—
383	C₂⁴×C₃	—	4	1	no	—
384	C₂⁴×C₃	—	4	1	no	—
385	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
387	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
388	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
389	C₂×C₃×Q₈	—	2	2	no	—
390	C₂×C₃×Q₈	—	2	2	no	—
391	C₂×C₃×Q₈	—	2	2	no	—
392	C₂×C₃×D₄	—	2	2	no	—
393	C₂×C₃×D₄	—	2	2	no	—
394	C₂×C₃×D₄	—	2	2	no	—
395	C₂×C₃×D₄	—	2	2	no	—
396	C₂×C₃×D₄	—	2	2	no	—
397	C₂×C₃×D₄	—	2	2	no	—
398	C₂×C₃×D₄	—	4	1	no	—
399	C₂×C₃×D₄	—	4	1	no	—
400	C₂×C₃×D₄	#41	1	4	yes	—
401	C₂²×C₃×C₄	—	2	32	no	—
402	C₂²×C₃×C₄	—	2	2	no	—
403	C₂²×C₃×C₄	—	2	2	no	—
404	C₂²×C₃×C₄	—	2	2	no	—
405	C₂²×C₃×C₄	—	2	2	no	—
406	C₂²×C₃×C₄	—	2	2	no	—
407	C₂²×C₃×C₄	—	2	2	no	—
408	C₂²×C₃×C₄	—	2	2	no	—
409	C₂²×C₃×C₄	—	2	2	no	—
410	C₂²×C₃×C₄	—	2	2	no	—
411	C₂²×C₃×C₄	—	2	2	no	—
412	C₂²×C₃×C₄	—	2	2	no	—
413	C₂²×C₃×C₄	—	2	2	no	—
414	C₂²×C₃×C₄	—	2	2	no	—
415	C₂²×C₃×C₄	—	2	2	no	—
416	C₂²×C₃×C₄	—	2	2	no	—
417	C₂²×C₃×C₄	—	2	4	no	—
418	C₂²×C₃×C₄	—	2	4	no	—
419	C₂²×C₃×C₄	—	2	4	no	—
420	C₂²×C₃×C₄	—	2	4	no	—
421	C₂²×C₃×C₄	—	2	4	no	—
422	C₂²×C₃×C₄	—	2	4	no	—
423	C₂²×C₃×C₄	—	2	2	no	—
424	C₂²×C₃×C₄	—	2	2	no	—
425	C₂²×C₃×C₄	—	2	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	C₂×D₄	1	4	yes	—
430	C₂²×C₃×C₄	#41	1	4	yes	—
431	C₂²×C₃×C₄	#41	1	4	yes	—
432	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
433	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
434	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
435	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
436	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
437	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
438	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
439	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
440	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
441	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
442	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
443	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
444	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
445	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
446	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
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	C₃×C₄⋊C₄	—	2	4	no	—
452	C₃×C₄⋊C₄	—	2	4	no	—
453	C₃×C₄⋊C₄	—	2	2	no	—
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	4	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	4	no	—
463	C₃×C₄⋊C₄	—	2	2	no	—
464	C₃×C₄⋊C₄	—	2	2	no	—
465	C₃×C₄⋊C₄	—	2	4	no	—
466	C₃×C₄⋊C₄	—	2	2	no	—
467	C₃×C₄⋊C₄	—	2	2	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	—	4	2	no	—
475	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
476	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
477	C₃×C₂²⋊C₄	—	2	4	no	—
478	C₃×C₂²⋊C₄	—	2	2	no	—
479	C₃×C₂²⋊C₄	—	2	4	no	—
480	C₃×C₂²⋊C₄	—	2	2	no	—
481	C₃×C₂²⋊C₄	—	2	4	no	—
482	C₃×C₂²⋊C₄	—	2	4	no	—
483	C₃×C₂²⋊C₄	—	2	2	no	—
484	C₃×C₂²⋊C₄	—	2	2	no	—
485	C₃×C₂²⋊C₄	—	2	4	no	—
486	C₃×C₂²⋊C₄	—	2	4	no	—
487	C₃×C₂²⋊C₄	—	2	2	no	—
488	C₃×C₂²⋊C₄	—	2	4	no	—
489	C₃×C₂²⋊C₄	—	2	4	no	—
490	C₃×C₂²⋊C₄	—	2	2	no	—
491	C₃×C₂²⋊C₄	—	2	4	no	—
492	C₃×C₂²⋊C₄	—	2	2	no	—
493	C₃×C₂²⋊C₄	—	2	2	no	—
494	C₃×C₂²⋊C₄	—	2	2	no	—
495	C₃×C₂²⋊C₄	—	2	2	no	—
496	C₃×C₂²⋊C₄	—	4	1	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	1	no	—
501	C₃×C₂²⋊C₄	C₂×D₄	1	8	yes	—
502	C₃×C₄²	—	2	4	no	—
503	C₃×C₄²	—	2	4	no	—
504	C₃×C₄²	—	2	4	no	—
505	C₃×C₄²	—	2	4	no	—
506	C₃×C₄²	—	2	2	no	—
507	C₃×C₄²	—	2	2	no	—
508	C₃×C₄²	—	2	4	no	—
509	C₃×C₄²	—	2	2	no	—
510	C₃×C₄²	—	4	2	no	—
511	C₃×C₄²	C₂×D₄	1	8	yes	—
512	C₂⁵	C₂³×C₃	1	1	yes	characteristic
513	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
514	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
515	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
516	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
517	C₂³×C₄	—	2	4	no	—
518	C₂³×C₄	—	2	4	no	—
519	C₂³×C₄	—	2	4	no	—
520	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
521	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
522	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
523	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
524	C₂³×C₄	C₂³×C₃	1	2	yes	—
525	C₂³×C₄	C₂³×C₃	1	2	yes	—
526	C₂³×C₄	C₂³×C₃	1	2	yes	—
527	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
528	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
529	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
530	#126	—	2	8	no	—
531	#125	—	2	4	no	—
532	#125	—	2	8	no	—
533	#123	—	2	8	no	—
534	C₂²⋊Q₈	—	2	4	no	—
535	C₂²⋊Q₈	—	2	4	no	—
536	C₂²⋊Q₈	—	2	4	no	—
537	C₂²⋊Q₈	—	2	4	no	—
538	#120	—	2	4	no	—
539	C₄×Q₈	—	2	4	no	—
540	C₄×D₄	—	2	8	no	—
541	C₄×D₄	—	2	4	no	—
542	C₄×D₄	—	2	4	no	—
543	C₄×D₄	—	2	4	no	—
544	#117	—	2	4	no	—
545	#117	—	2	4	no	—
546	#117	—	2	4	no	—
547	#117	—	2	8	no	—
548	#117	—	2	8	no	—
549	#117	—	2	8	no	—
550	#117	C₃×D₄	1	8	yes	complemented
551	C₂×C₄⋊C₄	—	2	4	no	—
552	C₂×C₄⋊C₄	—	2	4	no	—
553	C₂×C₄⋊C₄	—	2	4	no	—
554	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
555	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
556	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
557	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
558	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
559	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
560	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
561	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
562	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
563	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
564	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
565	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
566	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
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	2	yes	—
570	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
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	2	yes	—
575	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
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	1	yes	characteristic
579	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
580	C₂×C₂²⋊C₄	—	2	8	no	—
581	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
582	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
583	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
584	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
585	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
586	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
587	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
588	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
589	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
590	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
591	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
601	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
602	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
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×C₄²	—	2	8	no	—
607	C₂×C₄²	C₂³×C₃	1	2	yes	—
608	C₂×C₄²	C₂³×C₃	1	2	yes	—
609	C₂×C₄²	C₂³×C₃	1	2	yes	—
610	C₂×C₄²	C₂³×C₃	1	2	yes	—
611	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
612	C₂×C₄²	C₂³×C₃	1	2	yes	—
613	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
614	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
615	C₂×C₄²	C₂³×C₃	1	2	yes	—
616	C₂×C₄²	C₂³×C₃	1	2	yes	—
617	#95	C₂³×C₃	1	1	yes	characteristic
618	#95	C₂³×C₃	1	2	yes	—
619	#95	C₂³×C₃	1	2	yes	—
620	#95	C₂³×C₃	1	2	yes	—
621	#95	C₂³×C₃	1	1	yes	characteristic
622	#95	C₂³×C₃	1	1	yes	characteristic
623	#95	C₂³×C₃	1	1	yes	characteristic
624	#95	C₂³×C₃	1	1	yes	characteristic
625	#95	C₂³×C₃	1	1	yes	characteristic
626	#95	C₂³×C₃	1	2	yes	—
627	#95	C₂³×C₃	1	2	yes	—
628	#95	C₂³×C₃	1	2	yes	—
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	2	yes	—
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	C₂³×C₃	—	2	1	no	—
641	C₂³×C₃	—	2	1	no	—
642	C₂³×C₃	—	2	1	no	—
643	C₂³×C₃	—	2	1	no	—
644	C₂³×C₃	—	2	8	no	—
645	C₂³×C₃	—	2	1	no	—
646	C₂³×C₃	—	2	1	no	—
647	C₂³×C₃	—	2	1	no	—
648	C₂³×C₃	—	2	1	no	—
649	C₂³×C₃	—	2	1	no	—
650	C₂³×C₃	—	2	1	no	—
651	C₂³×C₃	—	2	1	no	—
652	C₂³×C₃	—	2	1	no	—
653	C₂³×C₃	—	2	1	no	—
654	C₂³×C₃	—	2	1	no	—
655	C₂³×C₃	—	2	1	no	—
656	C₂³×C₃	—	2	1	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	1	no	—
662	C₂³×C₃	—	2	1	no	—
663	C₂³×C₃	—	4	4	no	—
664	C₂³×C₃	—	4	4	no	—
665	C₂³×C₃	—	4	4	no	—
666	C₂³×C₃	—	4	4	no	—
667	C₂³×C₃	—	4	4	no	—
668	C₂³×C₃	—	4	4	no	—
669	C₂³×C₃	C₂²×D₄	1	2	yes	—
670	C₂³×C₃	C₂×#41	1	2	yes	—
671	C₂³×C₃	C₂×#41	1	2	yes	—
672	C₂³×C₃	C₂×#41	1	2	yes	—
673	C₂³×C₃	C₂×#41	1	2	yes	—
674	C₂³×C₃	2₋¹⁺⁴	1	2	yes	—
675	C₂³×C₃	C₂⁵	1	1	yes	characteristic
676	C₃×Q₈	—	4	4	no	—
677	C₃×D₄	—	2	8	no	—
678	C₃×D₄	—	4	4	no	—
679	C₃×D₄	—	4	4	no	—
680	C₂×C₃×C₄	—	2	8	no	—
681	C₂×C₃×C₄	—	2	8	no	—
682	C₂×C₃×C₄	—	2	8	no	—
683	C₂×C₃×C₄	—	2	1	no	—
684	C₂×C₃×C₄	—	2	1	no	—
685	C₂×C₃×C₄	—	2	1	no	—
686	C₂×C₃×C₄	—	2	2	no	—
687	C₂×C₃×C₄	—	2	1	no	—
688	C₂×C₃×C₄	—	2	1	no	—
689	C₂×C₃×C₄	—	2	1	no	—
690	C₂×C₃×C₄	—	2	1	no	—
691	C₂×C₃×C₄	—	2	2	no	—
692	C₂×C₃×C₄	—	2	1	no	—
693	C₂×C₃×C₄	—	2	2	no	—
694	C₂×C₃×C₄	—	2	2	no	—
695	C₂×C₃×C₄	—	2	8	no	—
696	C₂×C₃×C₄	—	2	8	no	—
697	C₂×C₃×C₄	—	2	8	no	—
698	C₂×C₃×C₄	—	2	1	no	—
699	C₂×C₃×C₄	—	2	2	no	—
700	C₂×C₃×C₄	—	2	2	no	—
701	C₂×C₃×C₄	—	2	2	no	—
702	C₂×C₃×C₄	—	2	1	no	—
703	C₂×C₃×C₄	—	2	1	no	—
704	C₂×C₃×C₄	—	2	2	no	—
705	C₂×C₃×C₄	—	2	2	no	—
706	C₂×C₃×C₄	—	2	1	no	—
707	C₂×C₃×C₄	—	2	1	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	2	no	—
713	C₂×C₃×C₄	—	2	1	no	—
714	C₂×C₃×C₄	—	2	1	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	1	no	—
720	C₂×C₃×C₄	—	2	1	no	—
721	C₂×C₃×C₄	—	2	2	no	—
722	C₂×C₃×C₄	—	2	1	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	1	no	—
727	C₂×C₃×C₄	—	2	1	no	—
728	C₂×C₃×C₄	—	2	1	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	1	no	—
733	C₂×C₃×C₄	—	2	1	no	—
734	C₂×C₃×C₄	—	4	8	no	—
735	C₂×C₃×C₄	—	4	8	no	—
736	C₂×C₃×C₄	—	4	8	no	—
737	C₂×C₃×C₄	—	4	4	no	—
738	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
739	C₂×C₃×C₄	C₂²×D₄	1	4	yes	—
740	C₂×C₃×C₄	C₂²×D₄	1	4	yes	—
741	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
742	C₂×C₃×C₄	C₂×#41	1	2	yes	—
743	C₂×C₃×C₄	C₂×#41	1	2	yes	—
744	C₂×C₃×C₄	C₂×#41	1	2	yes	—
745	C₂×C₃×C₄	C₂×#41	1	2	yes	—
746	C₂×C₃×C₄	C₂×#41	1	2	yes	—
747	C₂⁴	—	2	2	no	—
748	C₂⁴	—	2	2	no	—
749	C₂⁴	—	2	2	no	—
750	C₂⁴	—	2	2	no	—
751	C₂⁴	—	2	2	no	—
752	C₂⁴	—	4	1	no	—
753	C₂⁴	—	4	1	no	—
754	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
755	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
756	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
757	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
758	C₂×Q₈	—	2	2	no	—
759	C₂×Q₈	—	2	2	no	—
760	C₂×Q₈	—	2	2	no	—
761	C₂×D₄	—	2	2	no	—
762	C₂×D₄	—	2	2	no	—
763	C₂×D₄	—	2	2	no	—
764	C₂×D₄	—	2	2	no	—
765	C₂×D₄	—	2	2	no	—
766	C₂×D₄	—	2	2	no	—
767	C₂×D₄	—	4	1	no	—
768	C₂×D₄	—	4	1	no	—
769	C₂×D₄	C₃×#41	1	4	yes	—
770	C₂²×C₄	—	2	32	no	—
771	C₂²×C₄	—	2	2	no	—
772	C₂²×C₄	—	2	2	no	—
773	C₂²×C₄	—	2	2	no	—
774	C₂²×C₄	—	2	2	no	—
775	C₂²×C₄	—	2	2	no	—
776	C₂²×C₄	—	2	2	no	—
777	C₂²×C₄	—	2	2	no	—
778	C₂²×C₄	—	2	2	no	—
779	C₂²×C₄	—	2	2	no	—
780	C₂²×C₄	—	2	2	no	—
781	C₂²×C₄	—	2	2	no	—
782	C₂²×C₄	—	2	2	no	—
783	C₂²×C₄	—	2	2	no	—
784	C₂²×C₄	—	2	2	no	—
785	C₂²×C₄	—	2	2	no	—
786	C₂²×C₄	—	2	4	no	—
787	C₂²×C₄	—	2	4	no	—
788	C₂²×C₄	—	2	4	no	—
789	C₂²×C₄	—	2	4	no	—
790	C₂²×C₄	—	2	4	no	—
791	C₂²×C₄	—	2	4	no	—
792	C₂²×C₄	—	2	2	no	—
793	C₂²×C₄	—	2	2	no	—
794	C₂²×C₄	—	2	2	no	—
795	C₂²×C₄	—	4	2	no	—
796	C₂²×C₄	—	4	2	no	—
797	C₂²×C₄	—	4	2	no	—
798	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
799	C₂²×C₄	C₃×#41	1	4	yes	—
800	C₂²×C₄	C₃×#41	1	4	yes	—
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	2	yes	—
809	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
810	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
811	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
812	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
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	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	1	yes	characteristic
820	C₄⋊C₄	—	2	4	no	—
821	C₄⋊C₄	—	2	4	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	4	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	—	2	2	no	—
833	C₄⋊C₄	—	2	2	no	—
834	C₄⋊C₄	—	2	4	no	—
835	C₄⋊C₄	—	2	2	no	—
836	C₄⋊C₄	—	2	2	no	—
837	C₄⋊C₄	—	2	4	no	—
838	C₄⋊C₄	—	2	4	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	C₂×C₃×D₄	1	4	yes	—
845	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
846	C₂²⋊C₄	—	2	4	no	—
847	C₂²⋊C₄	—	2	2	no	—
848	C₂²⋊C₄	—	2	4	no	—
849	C₂²⋊C₄	—	2	2	no	—
850	C₂²⋊C₄	—	2	4	no	—
851	C₂²⋊C₄	—	2	4	no	—
852	C₂²⋊C₄	—	2	2	no	—
853	C₂²⋊C₄	—	2	2	no	—
854	C₂²⋊C₄	—	2	4	no	—
855	C₂²⋊C₄	—	2	4	no	—
856	C₂²⋊C₄	—	2	2	no	—
857	C₂²⋊C₄	—	2	4	no	—
858	C₂²⋊C₄	—	2	4	no	—
859	C₂²⋊C₄	—	2	2	no	—
860	C₂²⋊C₄	—	2	4	no	—
861	C₂²⋊C₄	—	2	2	no	—
862	C₂²⋊C₄	—	2	2	no	—
863	C₂²⋊C₄	—	2	2	no	—
864	C₂²⋊C₄	—	2	2	no	—
865	C₂²⋊C₄	—	4	1	no	—
866	C₂²⋊C₄	—	4	2	no	—
867	C₂²⋊C₄	—	4	2	no	—
868	C₂²⋊C₄	—	4	2	no	—
869	C₂²⋊C₄	—	4	1	no	—
870	C₂²⋊C₄	C₂×C₃×D₄	1	8	yes	—
871	C₄²	—	2	4	no	—
872	C₄²	—	2	4	no	—
873	C₄²	—	2	4	no	—
874	C₄²	—	2	4	no	—
875	C₄²	—	2	2	no	—
876	C₄²	—	2	2	no	—
877	C₄²	—	2	4	no	—
878	C₄²	—	2	2	no	—
879	C₄²	—	4	2	no	—
880	C₄²	C₂×C₃×D₄	1	8	yes	—
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	2	no	—
886	C₂²×C₃	—	2	2	no	—
887	C₂²×C₃	—	2	2	no	—
888	C₂²×C₃	—	2	2	no	—
889	C₂²×C₃	—	2	2	no	—
890	C₂²×C₃	—	2	2	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	2	no	—
896	C₂²×C₃	—	4	16	no	—
897	C₂²×C₃	—	4	1	no	—
898	C₂²×C₃	—	4	1	no	—
899	C₂²×C₃	—	4	1	no	—
900	C₂²×C₃	—	4	1	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	#552	1	4	yes	complemented
910	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
911	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
912	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
913	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
914	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
915	C₂²×C₃	#585	1	1	yes	characteristic
916	C₂²×C₃	#585	1	1	yes	characteristic
917	C₃×C₄	—	2	2	no	—
918	C₃×C₄	—	2	2	no	—
919	C₃×C₄	—	2	2	no	—
920	C₃×C₄	—	2	4	no	—
921	C₃×C₄	—	2	2	no	—
922	C₃×C₄	—	2	4	no	—
923	C₃×C₄	—	4	1	no	—
924	C₃×C₄	—	4	2	no	—
925	C₃×C₄	—	4	2	no	—
926	C₃×C₄	—	4	2	no	—
927	C₃×C₄	—	4	1	no	—
928	C₃×C₄	—	4	2	no	—
929	C₃×C₄	—	4	1	no	—
930	C₃×C₄	—	4	1	no	—
931	C₃×C₄	—	4	2	no	—
932	C₃×C₄	—	4	1	no	—
933	C₃×C₄	—	4	2	no	—
934	C₃×C₄	—	4	1	no	—
935	C₃×C₄	#525	1	4	yes	—
936	C₂³	—	2	1	no	—
937	C₂³	—	2	1	no	—
938	C₂³	—	2	1	no	—
939	C₂³	—	2	1	no	—
940	C₂³	—	2	8	no	—
941	C₂³	—	2	1	no	—
942	C₂³	—	2	1	no	—
943	C₂³	—	2	1	no	—
944	C₂³	—	2	1	no	—
945	C₂³	—	2	1	no	—
946	C₂³	—	2	1	no	—
947	C₂³	—	2	1	no	—
948	C₂³	—	2	1	no	—
949	C₂³	—	2	1	no	—
950	C₂³	—	2	1	no	—
951	C₂³	—	2	1	no	—
952	C₂³	—	2	1	no	—
953	C₂³	—	2	1	no	—
954	C₂³	—	2	1	no	—
955	C₂³	—	2	1	no	—
956	C₂³	—	2	1	no	—
957	C₂³	—	2	1	no	—
958	C₂³	—	2	1	no	—
959	C₂³	—	4	4	no	—
960	C₂³	—	4	4	no	—
961	C₂³	—	4	4	no	—
962	C₂³	—	4	4	no	—
963	C₂³	—	4	4	no	—
964	C₂³	—	4	4	no	—
965	C₂³	C₂²×C₃×D₄	1	2	yes	—
966	C₂³	C₂×C₃×#41	1	2	yes	—
967	C₂³	C₂×C₃×#41	1	2	yes	—
968	C₂³	C₂×C₃×#41	1	2	yes	—
969	C₂³	C₂×C₃×#41	1	2	yes	—
970	C₂³	C₃×2₋¹⁺⁴	1	2	yes	—
971	C₂³	C₂⁵×C₃	1	1	yes	characteristic
972	Q₈	—	4	4	no	—
973	D₄	—	2	8	no	—
974	D₄	—	4	4	no	—
975	D₄	—	4	4	no	—
976	C₂×C₄	—	2	8	no	—
977	C₂×C₄	—	2	8	no	—
978	C₂×C₄	—	2	8	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	1	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	2	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	2	no	—
991	C₂×C₄	—	2	8	no	—
992	C₂×C₄	—	2	8	no	—
993	C₂×C₄	—	2	8	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	1	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	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	2	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	1	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	1	no	—
1016	C₂×C₄	—	2	1	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	2	no	—
1020	C₂×C₄	—	2	2	no	—
1021	C₂×C₄	—	2	2	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	4	8	no	—
1031	C₂×C₄	—	4	8	no	—
1032	C₂×C₄	—	4	8	no	—
1033	C₂×C₄	—	4	4	no	—
1034	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1035	C₂×C₄	C₂²×C₃×D₄	1	4	yes	—
1036	C₂×C₄	C₂²×C₃×D₄	1	4	yes	—
1037	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1038	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1039	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1040	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1041	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1042	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1043	C₂×C₃	—	2	4	no	—
1044	C₂×C₃	—	4	2	no	—
1045	C₂×C₃	—	4	2	no	—
1046	C₂×C₃	—	4	2	no	—
1047	C₂×C₃	C₂×#525	1	1	yes	characteristic
1048	C₂×C₃	D₄×#41	1	1	yes	characteristic
1049	C₂×C₃	C₂×#552	1	1	yes	characteristic
1050	C₂×C₃	#3475	1	1	yes	characteristic
1051	C₂×C₃	#3489	1	1	yes	characteristic
1052	C₂×C₃	#3493	1	1	yes	characteristic
1053	C₂×C₃	#3495	1	1	yes	characteristic
1054	C₂²	—	2	2	no	—
1055	C₂²	—	2	2	no	—
1056	C₂²	—	2	2	no	—
1057	C₂²	—	2	2	no	—
1058	C₂²	—	2	2	no	—
1059	C₂²	—	2	2	no	—
1060	C₂²	—	2	2	no	—
1061	C₂²	—	2	2	no	—
1062	C₂²	—	2	2	no	—
1063	C₂²	—	2	2	no	—
1064	C₂²	—	2	2	no	—
1065	C₂²	—	2	2	no	—
1066	C₂²	—	2	2	no	—
1067	C₂²	—	2	2	no	—
1068	C₂²	—	2	2	no	—
1069	C₂²	—	4	16	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	1	no	—
1079	C₂²	—	4	1	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	1	no	—
1082	C₂²	C₃×#552	1	4	yes	complemented
1083	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1084	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1085	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1086	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1087	C₂²	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1088	C₂²	C₃×#585	1	1	yes	characteristic
1089	C₂²	C₃×#585	1	1	yes	characteristic
1090	C₄	—	2	2	no	—
1091	C₄	—	2	2	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	2	4	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	2	4	no	—
1096	C₄	—	4	1	no	—
1097	C₄	—	4	2	no	—
1098	C₄	—	4	2	no	—
1099	C₄	—	4	2	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	2	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	1	no	—
1105	C₄	—	4	1	no	—
1106	C₄	—	4	2	no	—
1107	C₄	—	4	1	no	—
1108	C₄	C₃×#525	1	4	yes	—
1109	C₃	#36234	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	—	4	2	no	—
1114	C₂	C₂×C₃×#525	1	1	yes	characteristic
1115	C₂	C₃×D₄×#41	1	1	yes	characteristic
1116	C₂	C₂×C₃×#552	1	1	yes	characteristic
1117	C₂	C₃×#3475	1	1	yes	characteristic
1118	C₂	C₃×#3489	1	1	yes	characteristic
1119	C₂	C₃×#3493	1	1	yes	characteristic
1120	C₂	C₃×#3495	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₂×C₃×#120	C₂²
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
2. C₂²×C₃×#117	C₂	semidirect
3. C₃×#2851	C₂	semidirect
4. C₃×#2848	C₂	semidirect
5. C₃×#2611	C₂	semidirect
6. C₃×#2609	C₂	semidirect
7. C₃×#2499	C₂	semidirect
8. C₃×#2485	C₂	semidirect
9. C₃×#2480	C₂	semidirect
10. C₃×#2478	C₂	semidirect
11. C₃×#2470	C₂	semidirect
12. C₃×#2442	C₂	semidirect
13. C₃×#2441	C₂	semidirect
15. C₃×#2417	C₂	semidirect
16. C₃×#2415	C₂	semidirect
17. C₃×#2362	C₂	semidirect
18. C₃×#2360	C₂	semidirect
19. C₃×#2352	C₂	semidirect
20. C₃×D₄×C₄⋊C₄	C₂	semidirect
21. C₃×#2346	C₂	semidirect
23. C₃×#2290	C₂	semidirect
24. #36234	C₃	direct (N × H)
28. C₂×C₃×#125	C₂²	semidirect
29. C₂×C₃×#125	C₂²	semidirect
34. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
36. C₂×C₃×C₄×Q₈	C₂²	semidirect
48. C₂×C₃×#117	C₂²	semidirect
51. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
54. C₃×#400	C₂²	semidirect
56. C₃×#398	C₂²	semidirect
57. C₃×#398	C₂²	semidirect
63. C₃×#396	C₂²	semidirect
66. C₃×#391	C₂²	semidirect
67. C₃×#391	C₂²	semidirect
68. C₃×#389	C₂²	semidirect
69. C₃×#389	C₂²	semidirect
70. C₃×#389	C₂²	semidirect
71. C₃×#389	C₂²	semidirect
72. C₃×#389	C₂²	semidirect
73. C₃×#389	C₂²	semidirect
74. C₃×#389	C₂²	semidirect
75. C₃×#389	C₂²	semidirect
81. C₃×#388	C₂²	semidirect
82. C₃×#388	C₂²	semidirect
83. C₃×#387	C₂²	semidirect
84. C₃×#387	C₂²	semidirect
85. C₃×#387	C₂²	semidirect
86. C₃×#387	C₂²	semidirect
87. C₃×#387	C₂²	semidirect
88. C₃×#387	C₂²	semidirect
89. C₃×#387	C₂²	semidirect
104. C₃×#385	C₂²	semidirect
105. C₃×#384	C₂²	semidirect
106. C₃×#382	C₂²	semidirect
107. C₃×#382	C₂²	semidirect
113. C₃×#380	C₂²	semidirect
114. C₃×#380	C₂²	semidirect
117. C₃×C₄×C₄⋊C₄	C₂²	semidirect
118. C₃×C₄×C₄⋊C₄	C₂²	semidirect
119. C₃×C₄×C₄⋊C₄	C₂²	semidirect
124. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
125. C₃×#376	C₂²	semidirect
126. C₂×#552	C₂×C₃	semidirect
127. C₂²×#117	C₂×C₃	semidirect
128. #2851	C₂×C₃	semidirect
129. #2848	C₂×C₃	semidirect
130. #2611	C₂×C₃	semidirect
131. #2609	C₂×C₃	semidirect
132. #2499	C₂×C₃	semidirect
133. #2485	C₂×C₃	semidirect
134. #2480	C₂×C₃	semidirect
135. #2478	C₂×C₃	semidirect
136. #2470	C₂×C₃	semidirect
137. #2442	C₂×C₃	semidirect
138. #2441	C₂×C₃	semidirect
140. #2417	C₂×C₃	semidirect
141. #2415	C₂×C₃	semidirect
142. #2362	C₂×C₃	semidirect
143. #2360	C₂×C₃	semidirect
144. #2352	C₂×C₃	semidirect
145. D₄×C₄⋊C₄	C₂×C₃	semidirect
146. #2346	C₂×C₃	semidirect
148. #2290	C₂×C₃	semidirect
187. C₃×#117	D₄	semidirect
280. C₂×#125	C₂²×C₃	semidirect
281. C₂×#125	C₂²×C₃	semidirect
286. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
288. C₂×C₄×Q₈	C₂²×C₃	semidirect
300. C₂×#117	C₂²×C₃	semidirect
303. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
306. #400	C₂²×C₃	semidirect
308. #398	C₂²×C₃	semidirect
309. #398	C₂²×C₃	semidirect
315. #396	C₂²×C₃	semidirect
318. #391	C₂²×C₃	semidirect
319. #391	C₂²×C₃	semidirect
320. #389	C₂²×C₃	semidirect
321. #389	C₂²×C₃	semidirect
322. #389	C₂²×C₃	semidirect
323. #389	C₂²×C₃	semidirect
324. #389	C₂²×C₃	semidirect
325. #389	C₂²×C₃	semidirect
326. #389	C₂²×C₃	semidirect
327. #389	C₂²×C₃	semidirect
333. #388	C₂²×C₃	semidirect
334. #388	C₂²×C₃	semidirect
335. #387	C₂²×C₃	semidirect
336. #387	C₂²×C₃	semidirect
337. #387	C₂²×C₃	semidirect
338. #387	C₂²×C₃	semidirect
339. #387	C₂²×C₃	semidirect
340. #387	C₂²×C₃	semidirect
341. #387	C₂²×C₃	semidirect
356. #385	C₂²×C₃	semidirect
357. #384	C₂²×C₃	semidirect
358. #382	C₂²×C₃	semidirect
359. #382	C₂²×C₃	semidirect
365. #380	C₂²×C₃	semidirect
366. #380	C₂²×C₃	semidirect
369. C₄×C₄⋊C₄	C₂²×C₃	semidirect
370. C₄×C₄⋊C₄	C₂²×C₃	semidirect
371. C₄×C₄⋊C₄	C₂²×C₃	semidirect
376. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
377. #376	C₂²×C₃	semidirect
550. #117	C₃×D₄	semidirect
909. C₂²×C₃	#552	semidirect
1082. C₂²	C₃×#552	semidirect
1109. C₃	#36234	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
C₂²×C₃×#117	2
C₃×#2851	2
C₃×#2848	2
C₃×#2611	2
C₃×#2609	2
C₃×#2499	2
C₃×#2485	2
C₃×#2480	2
C₃×#2478	2
C₃×#2470	2
C₃×#2442	2
C₃×#2441	2
C₃×#2418	2
C₃×#2417	2
C₃×#2415	2
C₃×#2362	2
C₃×#2360	2
C₃×#2352	2
C₃×D₄×C₄⋊C₄	2
C₃×#2346	2
C₃×C₄×#120	2
C₃×#2290	2
#36234	3

Subgroups — C3×#36234 #10654841

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#36234 #10654841