Subgroups — C₃×#34477 #10653084

Order 768.

2568 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×#550	C₂	1	1	yes	maximal, characteristic
2	C₃×#2380	C₂	1	2	yes	maximal, complemented
3	C₃×#2377	C₂	1	2	yes	maximal, complemented
4	C₃×#2366	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2364	C₂	1	2	yes	maximal, complemented
6	C₃×#2363	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2361	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2356	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2353	C₂	1	2	yes	maximal, complemented
10	C₃×#2352	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2339	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2339	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2333	C₂	1	2	yes	maximal, complemented
14	C₃×#2328	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2328	C₂	1	2	yes	maximal, complemented
16	C₃×#2325	C₂	1	2	yes	maximal, complemented
17	C₃×#2324	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2320	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2318	C₂	1	2	yes	maximal, complemented
20	C₃×#2311	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×C₄×#121	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2297	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
24	#34477	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂²×C₃×#41	C₂²	1	1	yes	characteristic
26	C₂²×C₃×#41	C₂²	1	1	yes	characteristic
27	C₃×#550	C₄	1	16	yes	complemented
28	C₂×C₃×#127	C₂²	1	1	yes	characteristic
29	C₂×C₃×#127	C₂²	1	2	yes	—
30	C₂×C₃×#121	C₂²	1	1	yes	characteristic
31	C₂×C₃×#121	C₂²	1	1	yes	characteristic
32	C₂×C₃×#121	C₂²	1	2	yes	—
33	C₂×C₃×#121	C₂²	1	2	yes	—
34	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
36	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
37	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
38	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
39	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
40	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
41	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
42	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
43	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
44	C₂×C₃×#117	C₂²	1	1	yes	characteristic
45	C₂×C₃×#117	C₂²	1	1	yes	characteristic
46	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
47	C₂²×C₃×C₄²	C₂²	1	1	yes	characteristic
48	C₃×#391	C₂²	1	1	yes	characteristic
49	C₃×#391	C₂²	1	1	yes	characteristic
50	C₃×#391	C₂²	1	1	yes	characteristic
51	C₃×#391	C₂²	1	1	yes	characteristic
52	C₃×#390	C₂²	1	1	yes	characteristic
53	C₃×#390	C₂²	1	1	yes	characteristic
54	C₃×#390	C₂²	1	2	yes	—
55	C₃×#390	C₂²	1	2	yes	—
56	C₃×#390	C₂²	1	1	yes	characteristic
57	C₃×#390	C₂²	1	1	yes	characteristic
58	C₃×#390	C₂²	1	2	yes	—
59	C₃×#389	C₂²	1	1	yes	characteristic
60	C₃×#389	C₂²	1	1	yes	characteristic
61	C₃×#388	C₂²	1	2	yes	—
62	C₃×#388	C₂²	1	2	yes	—
63	C₃×#388	C₂²	1	1	yes	characteristic
64	C₃×#388	C₂²	1	2	yes	—
65	C₃×#388	C₂²	1	2	yes	—
66	C₃×#388	C₂²	1	1	yes	characteristic
67	C₃×#388	C₂²	1	2	yes	—
68	C₃×#387	C₂²	1	2	yes	—
69	C₃×#387	C₂²	1	2	yes	—
70	C₃×#387	C₂²	1	2	yes	—
71	C₃×#387	C₂²	1	1	yes	characteristic
72	C₃×#387	C₂²	1	1	yes	characteristic
73	C₃×#387	C₂²	1	2	yes	—
74	C₃×#387	C₂²	1	2	yes	—
75	C₃×#386	C₂²	1	2	yes	—
76	C₃×#386	C₂²	1	2	yes	—
77	C₃×#386	C₂²	1	2	yes	—
78	C₃×#386	C₂²	1	2	yes	—
79	C₃×#386	C₂²	1	2	yes	—
80	C₃×#386	C₂²	1	2	yes	—
81	C₃×#386	C₂²	1	2	yes	—
82	C₃×#386	C₂²	1	2	yes	—
83	C₃×#386	C₂²	1	2	yes	—
84	C₃×#386	C₂²	1	2	yes	—
85	C₃×#386	C₂²	1	2	yes	—
86	C₃×#386	C₂²	1	1	yes	characteristic
87	C₃×#386	C₂²	1	2	yes	—
88	C₃×#386	C₂²	1	2	yes	—
89	C₃×#386	C₂²	1	2	yes	—
90	C₃×#386	C₂²	1	2	yes	—
91	C₃×#386	C₂²	1	1	yes	characteristic
92	C₃×#386	C₂²	1	2	yes	—
93	C₃×#386	C₂²	1	2	yes	—
94	C₃×#386	C₂²	1	2	yes	—
95	C₃×#386	C₂²	1	2	yes	—
96	C₃×#385	C₂²	1	2	yes	—
97	C₃×#385	C₂²	1	1	yes	characteristic
98	C₃×#385	C₂²	1	1	yes	characteristic
99	C₃×#385	C₂²	1	2	yes	—
100	C₃×#383	C₂²	1	2	yes	—
101	C₃×#383	C₂²	1	2	yes	—
102	C₃×#382	C₂²	1	2	yes	—
103	C₃×#382	C₂²	1	1	yes	characteristic
104	C₃×#381	C₂²	1	2	yes	—
105	C₃×#381	C₂²	1	2	yes	—
106	C₃×#380	C₂²	1	2	yes	—
107	C₃×#380	C₂²	1	1	yes	characteristic
108	C₃×#380	C₂²	1	2	yes	—
109	C₃×#380	C₂²	1	1	yes	characteristic
110	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
111	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
112	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
113	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
114	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
115	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
116	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
117	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
118	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
119	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₃×#376	C₂²	1	1	yes	characteristic
122	C₃×#376	C₂²	1	2	yes	—
123	C₂×C₃×#95	C₂²	1	2	yes	—
124	C₂×C₃×#95	C₂²	1	2	yes	—
125	C₂×#550	C₂×C₃	1	1	yes	characteristic
126	#2380	C₂×C₃	1	2	yes	complemented
127	#2377	C₂×C₃	1	2	yes	complemented
128	#2366	C₂×C₃	1	1	yes	characteristic, complemented
129	#2364	C₂×C₃	1	2	yes	complemented
130	#2363	C₂×C₃	1	1	yes	characteristic, complemented
131	#2361	C₂×C₃	1	1	yes	characteristic, complemented
132	#2356	C₂×C₃	1	1	yes	characteristic, complemented
133	#2353	C₂×C₃	1	2	yes	complemented
134	#2352	C₂×C₃	1	1	yes	characteristic, complemented
135	#2339	C₂×C₃	1	1	yes	characteristic, complemented
136	#2339	C₂×C₃	1	1	yes	characteristic, complemented
137	#2333	C₂×C₃	1	2	yes	complemented
138	#2328	C₂×C₃	1	2	yes	complemented
139	#2328	C₂×C₃	1	1	yes	characteristic, complemented
140	#2325	C₂×C₃	1	2	yes	complemented
141	#2324	C₂×C₃	1	1	yes	characteristic, complemented
142	#2320	C₂×C₃	1	1	yes	characteristic, complemented
143	#2318	C₂×C₃	1	2	yes	complemented
144	#2311	C₂×C₃	1	1	yes	characteristic, complemented
145	C₄×#121	C₂×C₃	1	1	yes	characteristic, complemented
146	#2297	C₂×C₃	1	1	yes	characteristic, complemented
147	#2290	C₂×C₃	1	1	yes	characteristic, complemented
148	C₂×C₃×#41	—	4	2	no	—
149	C₂×C₃×#41	—	4	2	no	—
150	C₂×C₃×#41	—	4	2	no	—
151	C₂×C₃×#41	—	4	2	no	—
152	C₂×C₃×#41	C₂×C₄	1	8	yes	complemented
153	C₂×C₃×#41	C₂×C₄	1	8	yes	complemented
154	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
155	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
156	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
157	C₂²×C₃×D₄	C₂³	1	2	yes	—
158	C₂²×C₃×D₄	C₂³	1	2	yes	—
159	C₂²×C₃×D₄	C₂³	1	2	yes	—
160	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
161	C₂²×C₃×D₄	C₂³	1	2	yes	—
162	C₂²×C₃×D₄	C₂³	1	2	yes	—
163	C₂²×C₃×D₄	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	2	yes	—
167	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
168	C₂³×C₃×C₄	C₂³	1	2	yes	—
169	C₂³×C₃×C₄	C₂³	1	2	yes	—
170	C₂³×C₃×C₄	C₂³	1	2	yes	—
171	C₂³×C₃×C₄	C₂³	1	2	yes	—
172	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
173	C₂³×C₃×C₄	C₂³	1	2	yes	—
174	C₂³×C₃×C₄	C₂³	1	2	yes	—
175	C₃×#127	C₂×C₄	1	8	yes	complemented
176	C₃×#127	C₂×C₄	1	16	yes	complemented
177	C₃×#121	C₂×C₄	1	8	yes	complemented
178	C₃×#121	C₂×C₄	1	8	yes	complemented
179	C₃×#121	C₂×C₄	1	16	yes	complemented
180	C₃×#121	C₂×C₄	1	16	yes	complemented
181	C₃×C₄×Q₈	C₂×C₄	1	8	yes	complemented
182	C₃×C₄×D₄	—	4	4	no	—
183	C₃×C₄×D₄	—	4	2	no	—
184	C₃×C₄×D₄	—	4	2	no	—
185	C₃×C₄×D₄	—	4	2	no	—
186	C₃×C₄×D₄	—	4	2	no	—
187	C₃×C₄×D₄	—	4	4	no	—
188	C₃×C₄×D₄	—	4	4	no	—
189	C₃×C₄×D₄	C₂×C₄	1	8	yes	complemented
190	C₃×C₄×D₄	C₂×C₄	1	16	yes	complemented
191	C₃×#117	—	4	2	no	—
192	C₃×#117	—	4	2	no	—
193	C₂×C₃×C₄⋊C₄	—	4	2	no	—
194	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	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	2	yes	—
208	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
212	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
213	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
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	2	yes	—
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	1	yes	characteristic
231	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
232	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₃×C₄²	—	4	2	no	—
234	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
235	C₂×C₃×C₄²	C₂³	1	2	yes	—
236	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
237	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₄²	C₂³	1	2	yes	—
240	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₄²	C₂³	1	2	yes	—
242	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₄²	C₂³	1	2	yes	—
244	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₄²	C₂³	1	2	yes	—
246	C₃×#95	C₂³	1	1	yes	characteristic
247	C₃×#95	C₂³	1	1	yes	characteristic
248	C₃×#95	C₂³	1	2	yes	—
249	C₃×#95	C₂³	1	2	yes	—
250	C₃×#95	C₂³	1	2	yes	—
251	C₃×#95	C₂³	1	2	yes	—
252	C₃×#95	C₂³	1	2	yes	—
253	C₃×#95	C₂³	1	2	yes	—
254	C₃×#95	C₂³	1	1	yes	characteristic
255	C₃×#95	C₂³	1	2	yes	—
256	C₃×#95	C₂³	1	1	yes	characteristic
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	2	yes	—
263	C₃×#95	C₂³	1	2	yes	—
264	C₃×#95	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
271	C₃×#95	C₂³	1	2	yes	—
272	C₃×#95	C₂³	1	2	yes	—
273	C₂²×#41	C₂²×C₃	1	1	yes	characteristic
274	C₂²×#41	C₂²×C₃	1	1	yes	characteristic
275	#550	C₃×C₄	1	16	yes	complemented
276	C₂×#127	C₂²×C₃	1	1	yes	characteristic
277	C₂×#127	C₂²×C₃	1	2	yes	—
278	C₂×#121	C₂²×C₃	1	1	yes	characteristic
279	C₂×#121	C₂²×C₃	1	2	yes	—
280	C₂×#121	C₂²×C₃	1	2	yes	—
281	C₂×#121	C₂²×C₃	1	1	yes	characteristic
282	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
283	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
284	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
285	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
286	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
287	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
288	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
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×#117	C₂²×C₃	1	1	yes	characteristic
293	C₂×#117	C₂²×C₃	1	1	yes	characteristic
294	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
295	C₂²×C₄²	C₂²×C₃	1	1	yes	characteristic
296	#391	C₂²×C₃	1	1	yes	characteristic
297	#391	C₂²×C₃	1	1	yes	characteristic
298	#391	C₂²×C₃	1	1	yes	characteristic
299	#391	C₂²×C₃	1	1	yes	characteristic
300	#390	C₂²×C₃	1	1	yes	characteristic
301	#390	C₂²×C₃	1	1	yes	characteristic
302	#390	C₂²×C₃	1	2	yes	—
303	#390	C₂²×C₃	1	1	yes	characteristic
304	#390	C₂²×C₃	1	2	yes	—
305	#390	C₂²×C₃	1	2	yes	—
306	#390	C₂²×C₃	1	1	yes	characteristic
307	#389	C₂²×C₃	1	1	yes	characteristic
308	#389	C₂²×C₃	1	1	yes	characteristic
309	#388	C₂²×C₃	1	2	yes	—
310	#388	C₂²×C₃	1	2	yes	—
311	#388	C₂²×C₃	1	2	yes	—
312	#388	C₂²×C₃	1	2	yes	—
313	#388	C₂²×C₃	1	2	yes	—
314	#388	C₂²×C₃	1	1	yes	characteristic
315	#388	C₂²×C₃	1	1	yes	characteristic
316	#387	C₂²×C₃	1	1	yes	characteristic
317	#387	C₂²×C₃	1	2	yes	—
318	#387	C₂²×C₃	1	2	yes	—
319	#387	C₂²×C₃	1	2	yes	—
320	#387	C₂²×C₃	1	2	yes	—
321	#387	C₂²×C₃	1	2	yes	—
322	#387	C₂²×C₃	1	1	yes	characteristic
323	#386	C₂²×C₃	1	2	yes	—
324	#386	C₂²×C₃	1	2	yes	—
325	#386	C₂²×C₃	1	2	yes	—
326	#386	C₂²×C₃	1	2	yes	—
327	#386	C₂²×C₃	1	2	yes	—
328	#386	C₂²×C₃	1	2	yes	—
329	#386	C₂²×C₃	1	2	yes	—
330	#386	C₂²×C₃	1	2	yes	—
331	#386	C₂²×C₃	1	2	yes	—
332	#386	C₂²×C₃	1	1	yes	characteristic
333	#386	C₂²×C₃	1	2	yes	—
334	#386	C₂²×C₃	1	2	yes	—
335	#386	C₂²×C₃	1	2	yes	—
336	#386	C₂²×C₃	1	2	yes	—
337	#386	C₂²×C₃	1	2	yes	—
338	#386	C₂²×C₃	1	2	yes	—
339	#386	C₂²×C₃	1	2	yes	—
340	#386	C₂²×C₃	1	2	yes	—
341	#386	C₂²×C₃	1	2	yes	—
342	#386	C₂²×C₃	1	2	yes	—
343	#386	C₂²×C₃	1	1	yes	characteristic
344	#385	C₂²×C₃	1	2	yes	—
345	#385	C₂²×C₃	1	2	yes	—
346	#385	C₂²×C₃	1	1	yes	characteristic
347	#385	C₂²×C₃	1	1	yes	characteristic
348	#383	C₂²×C₃	1	2	yes	—
349	#383	C₂²×C₃	1	2	yes	—
350	#382	C₂²×C₃	1	2	yes	—
351	#382	C₂²×C₃	1	1	yes	characteristic
352	#381	C₂²×C₃	1	2	yes	—
353	#381	C₂²×C₃	1	2	yes	—
354	#380	C₂²×C₃	1	2	yes	—
355	#380	C₂²×C₃	1	2	yes	—
356	#380	C₂²×C₃	1	1	yes	characteristic
357	#380	C₂²×C₃	1	1	yes	characteristic
358	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
359	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
360	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
361	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
362	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
363	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
364	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
365	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
366	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
367	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
368	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
369	#376	C₂²×C₃	1	1	yes	characteristic
370	#376	C₂²×C₃	1	2	yes	—
371	C₂×#95	C₂²×C₃	1	2	yes	—
372	C₂×#95	C₂²×C₃	1	2	yes	—
373	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
374	C₂⁴×C₃	C₂⁴	1	2	yes	—
375	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
376	C₂⁴×C₃	C₂⁴	1	2	yes	—
377	C₃×#41	—	4	16	no	—
378	C₃×#41	—	4	16	no	—
379	C₂×C₃×Q₈	—	2	2	no	—
380	C₂×C₃×Q₈	—	2	2	no	—
381	C₂×C₃×Q₈	C₂²×C₄	1	4	yes	—
382	C₂×C₃×D₄	—	2	2	no	—
383	C₂×C₃×D₄	—	2	2	no	—
384	C₂×C₃×D₄	—	2	2	no	—
385	C₂×C₃×D₄	—	2	2	no	—
386	C₂×C₃×D₄	—	4	2	no	—
387	C₂×C₃×D₄	—	4	2	no	—
388	C₂×C₃×D₄	—	4	2	no	—
389	C₂×C₃×D₄	—	4	2	no	—
390	C₂×C₃×D₄	—	4	2	no	—
391	C₂×C₃×D₄	—	4	2	no	—
392	C₂×C₃×D₄	—	4	2	no	—
393	C₂×C₃×D₄	—	4	1	no	—
394	C₂×C₃×D₄	—	4	1	no	—
395	C₂×C₃×D₄	—	4	2	no	—
396	C₂×C₃×D₄	—	4	2	no	—
397	C₂×C₃×D₄	—	4	2	no	—
398	C₂×C₃×D₄	—	4	2	no	—
399	C₂×C₃×D₄	—	4	2	no	—
400	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
401	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
402	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
403	C₂×C₃×D₄	C₂²×C₄	1	8	yes	—
404	C₂×C₃×D₄	C₂²×C₄	1	8	yes	—
405	C₂×C₃×D₄	C₂²×C₄	1	8	yes	—
406	C₂×C₃×D₄	C₂²×C₄	1	8	yes	—
407	C₂×C₃×D₄	C₂²×C₄	1	8	yes	—
408	C₂×C₃×D₄	C₂²×C₄	1	8	yes	—
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	4	no	—
415	C₂²×C₃×C₄	—	4	1	no	—
416	C₂²×C₃×C₄	—	4	1	no	—
417	C₂²×C₃×C₄	—	4	1	no	—
418	C₂²×C₃×C₄	—	4	1	no	—
419	C₂²×C₃×C₄	—	4	1	no	—
420	C₂²×C₃×C₄	—	4	2	no	—
421	C₂²×C₃×C₄	—	4	2	no	—
422	C₂²×C₃×C₄	—	4	2	no	—
423	C₂²×C₃×C₄	—	4	2	no	—
424	C₂²×C₃×C₄	—	4	2	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	—	4	2	no	—
435	C₂²×C₃×C₄	—	4	2	no	—
436	C₂²×C₃×C₄	—	4	2	no	—
437	C₂²×C₃×C₄	—	4	2	no	—
438	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
439	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
440	C₂²×C₃×C₄	C₂²×C₄	1	8	yes	—
441	C₂²×C₃×C₄	C₂²×C₄	1	8	yes	—
442	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
443	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
444	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
445	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
446	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
447	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
448	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
449	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
454	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
455	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
456	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
457	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
458	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
459	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
460	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
461	C₃×C₄⋊C₄	—	2	2	no	—
462	C₃×C₄⋊C₄	—	2	2	no	—
463	C₃×C₄⋊C₄	—	2	2	no	—
464	C₃×C₄⋊C₄	—	2	2	no	—
465	C₃×C₄⋊C₄	—	2	2	no	—
466	C₃×C₄⋊C₄	—	4	2	no	—
467	C₃×C₄⋊C₄	—	4	1	no	—
468	C₃×C₄⋊C₄	—	4	1	no	—
469	C₃×C₄⋊C₄	—	4	1	no	—
470	C₃×C₄⋊C₄	—	4	2	no	—
471	C₃×C₄⋊C₄	—	4	2	no	—
472	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
473	C₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
474	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
475	C₃×C₂²⋊C₄	—	2	4	no	—
476	C₃×C₂²⋊C₄	—	2	2	no	—
477	C₃×C₂²⋊C₄	—	4	2	no	—
478	C₃×C₂²⋊C₄	—	4	2	no	—
479	C₃×C₂²⋊C₄	—	4	1	no	—
480	C₃×C₂²⋊C₄	—	4	2	no	—
481	C₃×C₂²⋊C₄	—	4	2	no	—
482	C₃×C₂²⋊C₄	—	4	2	no	—
483	C₃×C₂²⋊C₄	—	4	2	no	—
484	C₃×C₂²⋊C₄	—	4	1	no	—
485	C₃×C₂²⋊C₄	—	4	1	no	—
486	C₃×C₂²⋊C₄	—	4	1	no	—
487	C₃×C₂²⋊C₄	—	4	1	no	—
488	C₃×C₂²⋊C₄	—	4	2	no	—
489	C₃×C₂²⋊C₄	—	4	2	no	—
490	C₃×C₂²⋊C₄	—	4	2	no	—
491	C₃×C₂²⋊C₄	—	4	2	no	—
492	C₃×C₂²⋊C₄	—	4	2	no	—
493	C₃×C₂²⋊C₄	—	4	2	no	—
494	C₃×C₂²⋊C₄	—	4	2	no	—
495	C₃×C₂²⋊C₄	—	4	2	no	—
496	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
497	C₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
498	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
499	C₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
500	C₃×C₄²	—	2	2	no	—
501	C₃×C₄²	—	2	2	no	—
502	C₃×C₄²	—	2	2	no	—
503	C₃×C₄²	—	2	4	no	—
504	C₃×C₄²	—	2	2	no	—
505	C₃×C₄²	—	4	1	no	—
506	C₃×C₄²	—	4	1	no	—
507	C₃×C₄²	—	4	2	no	—
508	C₃×C₄²	—	4	2	no	—
509	C₃×C₄²	—	4	2	no	—
510	C₃×C₄²	C₂²×C₄	1	8	yes	—
511	C₃×C₄²	C₂²×C₄	1	4	yes	—
512	C₂×#41	—	4	2	no	—
513	C₂×#41	—	4	2	no	—
514	C₂×#41	—	4	2	no	—
515	C₂×#41	—	4	2	no	—
516	C₂×#41	C₂×C₃×C₄	1	8	yes	complemented
517	C₂×#41	C₂×C₃×C₄	1	8	yes	complemented
518	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
519	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
520	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
521	C₂²×D₄	C₂³×C₃	1	2	yes	—
522	C₂²×D₄	C₂³×C₃	1	2	yes	—
523	C₂²×D₄	C₂³×C₃	1	2	yes	—
524	C₂²×D₄	C₂³×C₃	1	2	yes	—
525	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
526	C₂²×D₄	C₂³×C₃	1	2	yes	—
527	C₂²×D₄	C₂³×C₃	1	2	yes	—
528	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
529	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
530	C₂³×C₄	C₂³×C₃	1	2	yes	—
531	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
532	C₂³×C₄	C₂³×C₃	1	2	yes	—
533	C₂³×C₄	C₂³×C₃	1	2	yes	—
534	C₂³×C₄	C₂³×C₃	1	2	yes	—
535	C₂³×C₄	C₂³×C₃	1	2	yes	—
536	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
537	C₂³×C₄	C₂³×C₃	1	2	yes	—
538	C₂³×C₄	C₂³×C₃	1	2	yes	—
539	#127	C₂×C₃×C₄	1	8	yes	complemented
540	#127	C₂×C₃×C₄	1	16	yes	complemented
541	#121	C₂×C₃×C₄	1	8	yes	complemented
542	#121	C₂×C₃×C₄	1	8	yes	complemented
543	#121	C₂×C₃×C₄	1	16	yes	complemented
544	#121	C₂×C₃×C₄	1	16	yes	complemented
545	C₄×Q₈	C₂×C₃×C₄	1	8	yes	complemented
546	C₄×D₄	—	4	4	no	—
547	C₄×D₄	—	4	2	no	—
548	C₄×D₄	—	4	2	no	—
549	C₄×D₄	—	4	2	no	—
550	C₄×D₄	—	4	2	no	—
551	C₄×D₄	—	4	4	no	—
552	C₄×D₄	—	4	4	no	—
553	C₄×D₄	C₂×C₃×C₄	1	8	yes	complemented
554	C₄×D₄	C₂×C₃×C₄	1	16	yes	complemented
555	#117	—	4	2	no	—
556	#117	—	4	2	no	—
557	C₂×C₄⋊C₄	—	4	2	no	—
558	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
559	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
560	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
561	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
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	2	yes	—
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×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
573	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
574	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
575	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
576	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
577	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
578	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
579	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
580	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
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	2	yes	—
585	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
586	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
587	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
588	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
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	1	yes	characteristic
592	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
593	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
594	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
595	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
596	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
597	C₂×C₄²	—	4	2	no	—
598	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
599	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
600	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
601	C₂×C₄²	C₂³×C₃	1	2	yes	—
602	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
603	C₂×C₄²	C₂³×C₃	1	2	yes	—
604	C₂×C₄²	C₂³×C₃	1	2	yes	—
605	C₂×C₄²	C₂³×C₃	1	2	yes	—
606	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
607	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
608	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
609	C₂×C₄²	C₂³×C₃	1	2	yes	—
610	#95	C₂³×C₃	1	1	yes	characteristic
611	#95	C₂³×C₃	1	1	yes	characteristic
612	#95	C₂³×C₃	1	2	yes	—
613	#95	C₂³×C₃	1	2	yes	—
614	#95	C₂³×C₃	1	2	yes	—
615	#95	C₂³×C₃	1	2	yes	—
616	#95	C₂³×C₃	1	2	yes	—
617	#95	C₂³×C₃	1	2	yes	—
618	#95	C₂³×C₃	1	1	yes	characteristic
619	#95	C₂³×C₃	1	2	yes	—
620	#95	C₂³×C₃	1	1	yes	characteristic
621	#95	C₂³×C₃	1	2	yes	—
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	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	2	yes	—
637	C₂³×C₃	—	2	2	no	—
638	C₂³×C₃	—	2	1	no	—
639	C₂³×C₃	—	2	1	no	—
640	C₂³×C₃	—	2	1	no	—
641	C₂³×C₃	—	2	1	no	—
642	C₂³×C₃	—	2	2	no	—
643	C₂³×C₃	—	2	2	no	—
644	C₂³×C₃	—	2	2	no	—
645	C₂³×C₃	—	2	2	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	1	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	2	no	—
657	C₂³×C₃	—	2	1	no	—
658	C₂³×C₃	—	2	2	no	—
659	C₂³×C₃	—	2	1	no	—
660	C₂³×C₃	—	2	2	no	—
661	C₂³×C₃	C₂³×C₄	1	2	yes	—
662	C₂³×C₃	C₂³×C₄	1	2	yes	—
663	C₂³×C₃	C₂³×C₄	1	4	yes	—
664	C₂³×C₃	C₂³×C₄	1	4	yes	—
665	C₂³×C₃	C₂⁵	1	1	yes	characteristic
666	C₃×Q₈	—	2	8	no	—
667	C₃×D₄	—	2	8	no	—
668	C₃×D₄	—	2	8	no	—
669	C₃×D₄	—	4	4	no	—
670	C₃×D₄	—	4	8	no	—
671	C₃×D₄	—	4	8	no	—
672	C₃×D₄	—	4	8	no	—
673	C₃×D₄	—	4	8	no	—
674	C₃×D₄	—	4	8	no	—
675	C₃×D₄	—	4	8	no	—
676	C₂×C₃×C₄	—	2	1	no	—
677	C₂×C₃×C₄	—	2	2	no	—
678	C₂×C₃×C₄	—	2	1	no	—
679	C₂×C₃×C₄	—	2	1	no	—
680	C₂×C₃×C₄	—	2	1	no	—
681	C₂×C₃×C₄	—	2	1	no	—
682	C₂×C₃×C₄	—	2	1	no	—
683	C₂×C₃×C₄	—	2	2	no	—
684	C₂×C₃×C₄	—	2	2	no	—
685	C₂×C₃×C₄	—	2	2	no	—
686	C₂×C₃×C₄	—	2	1	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	8	no	—
691	C₂×C₃×C₄	—	2	8	no	—
692	C₂×C₃×C₄	—	2	1	no	—
693	C₂×C₃×C₄	—	2	1	no	—
694	C₂×C₃×C₄	—	2	1	no	—
695	C₂×C₃×C₄	—	2	1	no	—
696	C₂×C₃×C₄	—	2	1	no	—
697	C₂×C₃×C₄	—	2	2	no	—
698	C₂×C₃×C₄	—	2	1	no	—
699	C₂×C₃×C₄	—	2	1	no	—
700	C₂×C₃×C₄	—	2	2	no	—
701	C₂×C₃×C₄	—	2	2	no	—
702	C₂×C₃×C₄	—	2	2	no	—
703	C₂×C₃×C₄	—	2	2	no	—
704	C₂×C₃×C₄	—	2	1	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	2	no	—
709	C₂×C₃×C₄	—	2	1	no	—
710	C₂×C₃×C₄	—	2	2	no	—
711	C₂×C₃×C₄	—	2	1	no	—
712	C₂×C₃×C₄	—	2	1	no	—
713	C₂×C₃×C₄	—	2	1	no	—
714	C₂×C₃×C₄	—	2	1	no	—
715	C₂×C₃×C₄	—	2	1	no	—
716	C₂×C₃×C₄	—	2	2	no	—
717	C₂×C₃×C₄	—	2	2	no	—
718	C₂×C₃×C₄	—	2	1	no	—
719	C₂×C₃×C₄	—	2	1	no	—
720	C₂×C₃×C₄	—	2	2	no	—
721	C₂×C₃×C₄	—	2	1	no	—
722	C₂×C₃×C₄	—	2	2	no	—
723	C₂×C₃×C₄	—	2	1	no	—
724	C₂×C₃×C₄	—	2	1	no	—
725	C₂×C₃×C₄	—	4	8	no	—
726	C₂×C₃×C₄	—	4	8	no	—
727	C₂×C₃×C₄	—	4	4	no	—
728	C₂×C₃×C₄	—	4	4	no	—
729	C₂×C₃×C₄	—	8	4	no	—
730	C₂×C₃×C₄	—	8	4	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	C₂³×C₄	1	2	yes	—
735	C₂×C₃×C₄	C₂³×C₄	1	4	yes	—
736	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
737	C₂×C₃×C₄	C₂³×C₄	1	4	yes	—
738	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
739	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
740	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
741	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
742	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
743	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
744	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
745	C₂⁴	C₂⁴×C₃	1	2	yes	—
746	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
747	C₂⁴	C₂⁴×C₃	1	2	yes	—
748	#41	—	4	16	no	—
749	#41	—	4	16	no	—
750	C₂×Q₈	—	2	2	no	—
751	C₂×Q₈	—	2	2	no	—
752	C₂×Q₈	C₂²×C₃×C₄	1	4	yes	—
753	C₂×D₄	—	2	2	no	—
754	C₂×D₄	—	2	2	no	—
755	C₂×D₄	—	2	2	no	—
756	C₂×D₄	—	2	2	no	—
757	C₂×D₄	—	4	2	no	—
758	C₂×D₄	—	4	2	no	—
759	C₂×D₄	—	4	2	no	—
760	C₂×D₄	—	4	2	no	—
761	C₂×D₄	—	4	2	no	—
762	C₂×D₄	—	4	2	no	—
763	C₂×D₄	—	4	2	no	—
764	C₂×D₄	—	4	2	no	—
765	C₂×D₄	—	4	2	no	—
766	C₂×D₄	—	4	2	no	—
767	C₂×D₄	—	4	2	no	—
768	C₂×D₄	—	4	1	no	—
769	C₂×D₄	—	4	1	no	—
770	C₂×D₄	—	4	2	no	—
771	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
772	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
773	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
774	C₂×D₄	C₂²×C₃×C₄	1	8	yes	—
775	C₂×D₄	C₂²×C₃×C₄	1	8	yes	—
776	C₂×D₄	C₂²×C₃×C₄	1	8	yes	—
777	C₂×D₄	C₂²×C₃×C₄	1	8	yes	—
778	C₂×D₄	C₂²×C₃×C₄	1	8	yes	—
779	C₂×D₄	C₂²×C₃×C₄	1	8	yes	—
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	4	no	—
786	C₂²×C₄	—	4	1	no	—
787	C₂²×C₄	—	4	1	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	1	no	—
793	C₂²×C₄	—	4	1	no	—
794	C₂²×C₄	—	4	1	no	—
795	C₂²×C₄	—	4	2	no	—
796	C₂²×C₄	—	4	2	no	—
797	C₂²×C₄	—	4	2	no	—
798	C₂²×C₄	—	4	2	no	—
799	C₂²×C₄	—	4	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	—	4	2	no	—
808	C₂²×C₄	—	4	2	no	—
809	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
810	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
811	C₂²×C₄	C₂²×C₃×C₄	1	8	yes	—
812	C₂²×C₄	C₂²×C₃×C₄	1	8	yes	—
813	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
814	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
815	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
816	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
817	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
818	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
819	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
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	2	yes	—
824	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
825	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
826	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
827	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
828	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
829	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
830	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
831	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
832	C₄⋊C₄	—	2	2	no	—
833	C₄⋊C₄	—	2	2	no	—
834	C₄⋊C₄	—	2	2	no	—
835	C₄⋊C₄	—	2	2	no	—
836	C₄⋊C₄	—	2	2	no	—
837	C₄⋊C₄	—	4	2	no	—
838	C₄⋊C₄	—	4	1	no	—
839	C₄⋊C₄	—	4	1	no	—
840	C₄⋊C₄	—	4	2	no	—
841	C₄⋊C₄	—	4	2	no	—
842	C₄⋊C₄	—	4	1	no	—
843	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
844	C₄⋊C₄	C₂²×C₃×C₄	1	8	yes	—
845	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
846	C₂²⋊C₄	—	2	4	no	—
847	C₂²⋊C₄	—	2	2	no	—
848	C₂²⋊C₄	—	4	1	no	—
849	C₂²⋊C₄	—	4	1	no	—
850	C₂²⋊C₄	—	4	2	no	—
851	C₂²⋊C₄	—	4	2	no	—
852	C₂²⋊C₄	—	4	2	no	—
853	C₂²⋊C₄	—	4	2	no	—
854	C₂²⋊C₄	—	4	2	no	—
855	C₂²⋊C₄	—	4	2	no	—
856	C₂²⋊C₄	—	4	2	no	—
857	C₂²⋊C₄	—	4	2	no	—
858	C₂²⋊C₄	—	4	2	no	—
859	C₂²⋊C₄	—	4	2	no	—
860	C₂²⋊C₄	—	4	1	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	1	no	—
866	C₂²⋊C₄	—	4	1	no	—
867	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
868	C₂²⋊C₄	C₂²×C₃×C₄	1	8	yes	—
869	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
870	C₂²⋊C₄	C₂²×C₃×C₄	1	8	yes	—
871	C₄²	—	2	2	no	—
872	C₄²	—	2	2	no	—
873	C₄²	—	2	2	no	—
874	C₄²	—	2	4	no	—
875	C₄²	—	2	2	no	—
876	C₄²	—	4	1	no	—
877	C₄²	—	4	1	no	—
878	C₄²	—	4	2	no	—
879	C₄²	—	4	2	no	—
880	C₄²	—	4	2	no	—
881	C₄²	C₂²×C₃×C₄	1	8	yes	—
882	C₄²	C₂²×C₃×C₄	1	4	yes	—
883	C₂²×C₃	—	2	2	no	—
884	C₂²×C₃	—	2	2	no	—
885	C₂²×C₃	—	2	4	no	—
886	C₂²×C₃	—	2	4	no	—
887	C₂²×C₃	—	2	2	no	—
888	C₂²×C₃	—	2	4	no	—
889	C₂²×C₃	—	2	2	no	—
890	C₂²×C₃	—	2	4	no	—
891	C₂²×C₃	—	2	2	no	—
892	C₂²×C₃	—	2	4	no	—
893	C₂²×C₃	—	2	2	no	—
894	C₂²×C₃	—	2	4	no	—
895	C₂²×C₃	—	4	1	no	—
896	C₂²×C₃	—	4	1	no	—
897	C₂²×C₃	—	4	2	no	—
898	C₂²×C₃	—	4	2	no	—
899	C₂²×C₃	—	4	1	no	—
900	C₂²×C₃	—	4	2	no	—
901	C₂²×C₃	—	4	2	no	—
902	C₂²×C₃	—	4	1	no	—
903	C₂²×C₃	—	4	1	no	—
904	C₂²×C₃	—	4	2	no	—
905	C₂²×C₃	—	4	1	no	—
906	C₂²×C₃	—	4	2	no	—
907	C₂²×C₃	—	4	2	no	—
908	C₂²×C₃	—	4	1	no	—
909	C₂²×C₃	—	4	2	no	—
910	C₂²×C₃	—	4	1	no	—
911	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
912	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
913	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
914	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
915	C₂²×C₃	#585	1	1	yes	characteristic
916	C₂²×C₃	#585	1	1	yes	characteristic
917	C₂²×C₃	#585	1	1	yes	characteristic
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	—	2	2	no	—
924	C₃×C₄	—	2	2	no	—
925	C₃×C₄	—	4	1	no	—
926	C₃×C₄	—	4	1	no	—
927	C₃×C₄	—	4	1	no	—
928	C₃×C₄	—	4	1	no	—
929	C₃×C₄	—	4	1	no	—
930	C₃×C₄	—	4	2	no	—
931	C₃×C₄	—	4	2	no	—
932	C₃×C₄	—	4	1	no	—
933	C₃×C₄	—	4	2	no	—
934	C₃×C₄	—	4	2	no	—
935	C₃×C₄	—	4	1	no	—
936	C₃×C₄	#518	1	4	yes	—
937	C₂³	—	2	2	no	—
938	C₂³	—	2	1	no	—
939	C₂³	—	2	1	no	—
940	C₂³	—	2	1	no	—
941	C₂³	—	2	1	no	—
942	C₂³	—	2	2	no	—
943	C₂³	—	2	2	no	—
944	C₂³	—	2	2	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	1	no	—
951	C₂³	—	2	1	no	—
952	C₂³	—	2	2	no	—
953	C₂³	—	2	1	no	—
954	C₂³	—	2	2	no	—
955	C₂³	—	2	1	no	—
956	C₂³	—	2	2	no	—
957	C₂³	—	2	1	no	—
958	C₂³	—	2	2	no	—
959	C₂³	—	2	1	no	—
960	C₂³	—	2	2	no	—
961	C₂³	C₂³×C₃×C₄	1	2	yes	—
962	C₂³	C₂³×C₃×C₄	1	2	yes	—
963	C₂³	C₂³×C₃×C₄	1	4	yes	—
964	C₂³	C₂³×C₃×C₄	1	4	yes	—
965	C₂³	C₂⁵×C₃	1	1	yes	characteristic
966	Q₈	—	2	8	no	—
967	D₄	—	2	8	no	—
968	D₄	—	2	8	no	—
969	D₄	—	4	8	no	—
970	D₄	—	4	8	no	—
971	D₄	—	4	4	no	—
972	D₄	—	4	8	no	—
973	D₄	—	4	8	no	—
974	D₄	—	4	8	no	—
975	D₄	—	4	8	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	2	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	2	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	1	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	1	no	—
990	C₂×C₄	—	2	8	no	—
991	C₂×C₄	—	2	8	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	1	no	—
996	C₂×C₄	—	2	1	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	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	2	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	2	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	4	8	no	—
1026	C₂×C₄	—	4	8	no	—
1027	C₂×C₄	—	4	4	no	—
1028	C₂×C₄	—	4	4	no	—
1029	C₂×C₄	—	8	4	no	—
1030	C₂×C₄	—	8	4	no	—
1031	C₂×C₄	—	8	4	no	—
1032	C₂×C₄	—	8	4	no	—
1033	C₂×C₄	—	8	4	no	—
1034	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1035	C₂×C₄	C₂³×C₃×C₄	1	4	yes	—
1036	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1037	C₂×C₄	C₂³×C₃×C₄	1	4	yes	—
1038	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1039	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1040	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1041	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1042	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1043	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1044	C₂×C₃	—	4	2	no	—
1045	C₂×C₃	—	4	2	no	—
1046	C₂×C₃	—	4	4	no	—
1047	C₂×C₃	—	4	4	no	—
1048	C₂×C₃	C₂×#518	1	1	yes	characteristic
1049	C₂×C₃	#3428	1	1	yes	characteristic
1050	C₂×C₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1051	C₂×C₃	#3539	1	1	yes	characteristic
1052	C₂×C₃	#3542	1	1	yes	characteristic
1053	C₂×C₃	#3546	1	1	yes	characteristic
1054	C₂×C₃	#3562	1	1	yes	characteristic
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	4	no	—
1061	C₂²	—	2	2	no	—
1062	C₂²	—	2	4	no	—
1063	C₂²	—	2	2	no	—
1064	C₂²	—	2	4	no	—
1065	C₂²	—	2	2	no	—
1066	C₂²	—	2	4	no	—
1067	C₂²	—	4	1	no	—
1068	C₂²	—	4	1	no	—
1069	C₂²	—	4	2	no	—
1070	C₂²	—	4	2	no	—
1071	C₂²	—	4	1	no	—
1072	C₂²	—	4	2	no	—
1073	C₂²	—	4	2	no	—
1074	C₂²	—	4	1	no	—
1075	C₂²	—	4	1	no	—
1076	C₂²	—	4	2	no	—
1077	C₂²	—	4	1	no	—
1078	C₂²	—	4	2	no	—
1079	C₂²	—	4	2	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	2	no	—
1082	C₂²	—	4	1	no	—
1083	C₂²	C₂⁴×C₃×C₄	1	1	yes	characteristic
1084	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1085	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1086	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1087	C₂²	C₃×#585	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	4	no	—
1093	C₄	—	2	2	no	—
1094	C₄	—	2	4	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	1	no	—
1102	C₄	—	4	2	no	—
1103	C₄	—	4	1	no	—
1104	C₄	—	4	2	no	—
1105	C₄	—	4	2	no	—
1106	C₄	—	4	1	no	—
1107	C₄	—	4	2	no	—
1108	C₄	C₃×#518	1	4	yes	—
1109	C₃	#34477	1	1	yes	characteristic, direct product factor, Sylow
1110	C₂	—	4	2	no	—
1111	C₂	—	4	2	no	—
1112	C₂	—	4	4	no	—
1113	C₂	—	4	4	no	—
1114	C₂	C₂×C₃×#518	1	1	yes	characteristic
1115	C₂	C₃×#3428	1	1	yes	characteristic
1116	C₂	C₃×C₄×H(5,𝔽₂)	1	1	yes	characteristic
1117	C₂	C₃×#3539	1	1	yes	characteristic
1118	C₂	C₃×#3542	1	1	yes	characteristic
1119	C₂	C₃×#3546	1	1	yes	characteristic
1120	C₂	C₃×#3562	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator	C₂²	C₂⁴×C₃×C₄
Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₂×C₃×#550	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₃×#2380	C₂	semidirect
3. C₃×#2377	C₂	semidirect
4. C₃×#2366	C₂	semidirect
5. C₃×#2364	C₂	semidirect
6. C₃×#2363	C₂	semidirect
7. C₃×#2361	C₂	semidirect
8. C₃×#2356	C₂	semidirect
9. C₃×#2353	C₂	semidirect
10. C₃×#2352	C₂	semidirect
11. C₃×#2339	C₂	semidirect
12. C₃×#2339	C₂	semidirect
13. C₃×#2333	C₂	semidirect
14. C₃×#2328	C₂	semidirect
15. C₃×#2328	C₂	semidirect
16. C₃×#2325	C₂	semidirect
17. C₃×#2324	C₂	semidirect
18. C₃×#2320	C₂	semidirect
19. C₃×#2318	C₂	semidirect
20. C₃×#2311	C₂	semidirect
21. C₃×C₄×#121	C₂	semidirect
22. C₃×#2297	C₂	semidirect
23. C₃×#2290	C₂	semidirect
24. #34477	C₃	direct (N × H)
27. C₃×#550	C₄	semidirect
126. #2380	C₂×C₃	semidirect
127. #2377	C₂×C₃	semidirect
128. #2366	C₂×C₃	semidirect
129. #2364	C₂×C₃	semidirect
130. #2363	C₂×C₃	semidirect
131. #2361	C₂×C₃	semidirect
132. #2356	C₂×C₃	semidirect
133. #2353	C₂×C₃	semidirect
134. #2352	C₂×C₃	semidirect
135. #2339	C₂×C₃	semidirect
136. #2339	C₂×C₃	semidirect
137. #2333	C₂×C₃	semidirect
138. #2328	C₂×C₃	semidirect
139. #2328	C₂×C₃	semidirect
140. #2325	C₂×C₃	semidirect
141. #2324	C₂×C₃	semidirect
142. #2320	C₂×C₃	semidirect
143. #2318	C₂×C₃	semidirect
144. #2311	C₂×C₃	semidirect
145. C₄×#121	C₂×C₃	semidirect
146. #2297	C₂×C₃	semidirect
147. #2290	C₂×C₃	semidirect
152. C₂×C₃×#41	C₂×C₄	semidirect
153. C₂×C₃×#41	C₂×C₄	semidirect
175. C₃×#127	C₂×C₄	semidirect
176. C₃×#127	C₂×C₄	semidirect
177. C₃×#121	C₂×C₄	semidirect
178. C₃×#121	C₂×C₄	semidirect
179. C₃×#121	C₂×C₄	semidirect
180. C₃×#121	C₂×C₄	semidirect
181. C₃×C₄×Q₈	C₂×C₄	semidirect
189. C₃×C₄×D₄	C₂×C₄	semidirect
190. C₃×C₄×D₄	C₂×C₄	semidirect
275. #550	C₃×C₄	semidirect
516. C₂×#41	C₂×C₃×C₄	semidirect
517. C₂×#41	C₂×C₃×C₄	semidirect
539. #127	C₂×C₃×C₄	semidirect
540. #127	C₂×C₃×C₄	semidirect
541. #121	C₂×C₃×C₄	semidirect
542. #121	C₂×C₃×C₄	semidirect
543. #121	C₂×C₃×C₄	semidirect
544. #121	C₂×C₃×C₄	semidirect
545. C₄×Q₈	C₂×C₃×C₄	semidirect
553. C₄×D₄	C₂×C₃×C₄	semidirect
554. C₄×D₄	C₂×C₃×C₄	semidirect
1109. C₃	#34477	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×#550	2
C₃×#2380	2
C₃×#2377	2
C₃×#2366	2
C₃×#2364	2
C₃×#2363	2
C₃×#2361	2
C₃×#2356	2
C₃×#2353	2
C₃×#2352	2
C₃×#2339	2
C₃×#2333	2
C₃×#2328	2
C₃×#2325	2
C₃×#2324	2
C₃×#2320	2
C₃×#2318	2
C₃×#2311	2
C₃×C₄×#121	2
C₃×#2297	2
C₃×#2290	2
#34477	3

Subgroups — C3×#34477 #10653084

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#34477 #10653084