Subgroups — C₃×#35940 #10654547

Order 768.

2622 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×#551	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×#548	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2663	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2662	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2639	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2610	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2604	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2564	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2560	C₂	1	2	yes	maximal, complemented
10	C₃×#2557	C₂	1	2	yes	maximal, complemented
11	C₃×#2539	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2491	C₂	1	2	yes	maximal, complemented
13	C₃×#2452	C₂	1	2	yes	maximal, complemented
14	C₃×#2434	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2430	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2425	C₂	1	2	yes	maximal, complemented
17	C₃×#2424	C₂	1	2	yes	maximal, complemented
18	C₃×#2396	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2388	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₃×#393	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2359	C₂	1	2	yes	maximal, complemented
22	C₃×#2358	C₂	1	2	yes	maximal, complemented
23	C₃×#2275	C₂	1	1	yes	maximal, characteristic, complemented
24	#35940	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂²×C₃×#41	C₂²	1	1	yes	characteristic, complemented
26	C₂³×C₃×Q₈	C₂²	1	1	yes	characteristic
27	C₃×#551	—	2	8	no	—
28	C₃×#548	—	2	8	no	—
29	C₂×C₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
30	C₂×C₃×#126	C₂²	1	1	yes	characteristic
31	C₂×C₃×#126	C₂²	1	1	yes	characteristic
32	C₂×C₃×#124	C₂²	1	1	yes	characteristic
33	C₂×C₃×#124	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₃×#124	C₂²	1	2	yes	complemented
35	C₂×C₃×#123	C₂²	1	1	yes	characteristic
36	C₂×C₃×#123	C₂²	1	1	yes	characteristic
37	C₂×C₃×#123	C₂²	1	1	yes	characteristic
38	C₂×C₃×#123	C₂²	1	2	yes	—
39	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
40	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
41	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
43	C₂×C₃×#121	C₂²	1	1	yes	characteristic
44	C₂×C₃×#121	C₂²	1	2	yes	—
45	C₂×C₃×#121	C₂²	1	2	yes	—
46	C₂×C₃×#120	C₂²	1	1	yes	characteristic
47	C₂×C₃×#120	C₂²	1	2	yes	—
48	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
50	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
51	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
52	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
53	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
54	C₂×C₃×#117	C₂²	1	1	yes	characteristic
55	C₂×C₃×#117	C₂²	1	1	yes	characteristic
56	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
57	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
58	C₂²×C₃×C₂²⋊C₄	C₂²	1	2	yes	—
59	C₃×#400	C₂²	1	1	yes	characteristic, complemented
60	C₃×#400	C₂²	1	1	yes	characteristic, complemented
61	C₃×#399	C₂²	1	1	yes	characteristic
62	C₃×#399	C₂²	1	1	yes	characteristic
63	C₃×#398	C₂²	1	2	yes	complemented
64	C₃×#397	C₂²	1	2	yes	complemented
65	C₃×#397	C₂²	1	2	yes	complemented
66	C₃×#396	C₂²	1	2	yes	—
67	C₃×#396	C₂²	1	2	yes	complemented
68	C₃×#395	C₂²	1	1	yes	characteristic, complemented
69	C₃×#395	C₂²	1	1	yes	characteristic, complemented
70	C₃×#395	C₂²	1	1	yes	characteristic, complemented
71	C₃×#395	C₂²	1	1	yes	characteristic, complemented
72	C₃×#394	C₂²	1	2	yes	—
73	C₃×#394	C₂²	1	2	yes	—
74	C₃×#394	C₂²	1	1	yes	characteristic, complemented
75	C₃×#394	C₂²	1	1	yes	characteristic, complemented
76	C₃×#394	C₂²	1	2	yes	complemented
77	C₃×#393	C₂²	1	1	yes	characteristic
78	C₃×#393	C₂²	1	1	yes	characteristic
79	C₃×#393	C₂²	1	1	yes	characteristic
80	C₃×#393	C₂²	1	2	yes	—
81	C₃×#393	C₂²	1	2	yes	—
82	C₃×#393	C₂²	1	1	yes	characteristic
83	C₃×#393	C₂²	1	2	yes	complemented
84	C₃×#392	C₂²	1	2	yes	—
85	C₃×#392	C₂²	1	1	yes	characteristic
86	C₃×#392	C₂²	1	1	yes	characteristic
87	C₃×#391	C₂²	1	2	yes	complemented
88	C₃×#390	C₂²	1	2	yes	—
89	C₃×#390	C₂²	1	2	yes	—
90	C₃×#390	C₂²	1	2	yes	—
91	C₃×#390	C₂²	1	2	yes	—
92	C₃×#389	C₂²	1	2	yes	complemented
93	C₃×#389	C₂²	1	2	yes	complemented
94	C₃×#388	C₂²	1	2	yes	—
95	C₃×#388	C₂²	1	2	yes	—
96	C₃×#388	C₂²	1	2	yes	—
97	C₃×#388	C₂²	1	2	yes	complemented
98	C₃×#388	C₂²	1	2	yes	complemented
99	C₃×#388	C₂²	1	2	yes	complemented
100	C₃×#387	C₂²	1	2	yes	complemented
101	C₃×#387	C₂²	1	2	yes	complemented
102	C₃×#386	C₂²	1	2	yes	—
103	C₃×#386	C₂²	1	2	yes	—
104	C₃×#386	C₂²	1	2	yes	—
105	C₃×#386	C₂²	1	2	yes	—
106	C₃×#386	C₂²	1	2	yes	—
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	—
111	C₃×#385	C₂²	1	2	yes	complemented
112	C₃×#380	C₂²	1	2	yes	complemented
113	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
114	C₃×C₄×C₄⋊C₄	C₂²	1	2	yes	complemented
115	C₃×C₄×C₄⋊C₄	C₂²	1	2	yes	complemented
116	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
117	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
118	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
119	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
120	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
121	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
122	C₃×#376	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₃×#95	C₂²	1	1	yes	characteristic
124	C₂×C₃×#95	C₂²	1	2	yes	—
125	C₂×C₃×#95	C₂²	1	1	yes	characteristic, complemented
126	C₂×#551	C₂×C₃	1	1	yes	characteristic, complemented
127	C₂×#548	C₂×C₃	1	1	yes	characteristic, complemented
128	#2663	C₂×C₃	1	1	yes	characteristic, complemented
129	#2662	C₂×C₃	1	1	yes	characteristic, complemented
130	#2639	C₂×C₃	1	1	yes	characteristic, complemented
131	#2610	C₂×C₃	1	1	yes	characteristic, complemented
132	#2604	C₂×C₃	1	1	yes	characteristic, complemented
133	#2564	C₂×C₃	1	1	yes	characteristic, complemented
134	#2560	C₂×C₃	1	2	yes	complemented
135	#2557	C₂×C₃	1	2	yes	complemented
136	#2539	C₂×C₃	1	1	yes	characteristic, complemented
137	#2491	C₂×C₃	1	2	yes	complemented
138	#2452	C₂×C₃	1	2	yes	complemented
139	#2434	C₂×C₃	1	1	yes	characteristic, complemented
140	#2430	C₂×C₃	1	1	yes	characteristic, complemented
141	#2425	C₂×C₃	1	2	yes	complemented
142	#2424	C₂×C₃	1	2	yes	complemented
143	#2396	C₂×C₃	1	1	yes	characteristic, complemented
144	#2388	C₂×C₃	1	1	yes	characteristic, complemented
145	C₂×#393	C₂×C₃	1	1	yes	characteristic, complemented
146	#2359	C₂×C₃	1	2	yes	complemented
147	#2358	C₂×C₃	1	2	yes	complemented
148	#2275	C₂×C₃	1	1	yes	characteristic, complemented
149	C₂⁵×C₃	C₂³	1	1	yes	characteristic
150	C₂×C₃×#41	—	2	4	no	—
151	C₂×C₃×#41	—	4	4	no	—
152	C₂²×C₃×Q₈	—	2	4	no	—
153	C₂²×C₃×Q₈	—	4	4	no	—
154	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
155	C₂²×C₃×Q₈	C₂³	1	2	yes	—
156	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
157	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
163	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
164	C₂²×C₃×D₄	C₂³	1	2	yes	—
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	2	yes	—
169	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
174	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
175	C₃×C₄⋊Q₈	—	4	4	no	—
176	C₃×#126	—	2	4	no	—
177	C₃×#126	—	2	4	no	—
178	C₃×#124	—	2	4	no	—
179	C₃×#124	—	2	8	no	—
180	C₃×#124	—	2	4	no	—
181	C₃×#123	—	2	4	no	—
182	C₃×#123	—	2	4	no	—
183	C₃×#123	—	2	4	no	—
184	C₃×#123	—	2	8	no	—
185	C₃×C₂²⋊Q₈	—	2	4	no	—
186	C₃×C₂²⋊Q₈	—	2	4	no	—
187	C₃×C₂²⋊Q₈	—	2	4	no	—
188	C₃×C₂²⋊Q₈	—	2	8	no	—
189	C₃×#121	—	2	8	no	—
190	C₃×#121	—	2	4	no	—
191	C₃×#121	—	4	4	no	—
192	C₃×#120	—	2	4	no	—
193	C₃×#120	—	2	8	no	—
194	C₃×C₄×Q₈	—	2	4	no	—
195	C₃×C₄×D₄	—	2	4	no	—
196	C₃×C₄×D₄	—	2	8	no	—
197	C₃×C₄×D₄	—	2	8	no	—
198	C₃×C₄×D₄	—	4	4	no	—
199	C₃×C₄×D₄	D₄	1	8	yes	complemented
200	C₃×#117	—	2	4	no	—
201	C₃×#117	—	2	4	no	—
202	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
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	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	2	yes	—
210	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
211	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
220	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
221	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
222	C₂×C₃×C₂²⋊C₄	—	4	4	no	—
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	2	yes	—
227	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
229	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³	1	2	yes	—
234	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
235	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
237	C₂×C₃×C₂²⋊C₄	C₂³	1	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	1	yes	characteristic
241	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
243	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
253	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
255	C₂×C₃×C₄²	C₂³	1	2	yes	—
256	C₂×C₃×C₄²	C₂³	1	2	yes	—
257	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
258	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
259	C₂×C₃×C₄²	C₂³	1	2	yes	—
260	C₂×C₃×C₄²	C₂³	1	2	yes	—
261	C₂×C₃×C₄²	C₂³	1	2	yes	—
262	C₂×C₃×C₄²	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	2	yes	—
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	1	yes	characteristic
272	C₃×#95	C₂³	1	2	yes	—
273	C₃×#95	C₂³	1	1	yes	characteristic
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	C₃×#95	C₂³	1	2	yes	—
280	C₃×#95	C₂³	1	2	yes	—
281	C₃×#95	C₂³	1	2	yes	—
282	C₂²×#41	C₂²×C₃	1	1	yes	characteristic, complemented
283	C₂³×Q₈	C₂²×C₃	1	1	yes	characteristic
284	#551	—	2	8	no	—
285	#548	—	2	8	no	—
286	C₂×C₄⋊Q₈	C₂²×C₃	1	2	yes	complemented
287	C₂×#126	C₂²×C₃	1	1	yes	characteristic
288	C₂×#126	C₂²×C₃	1	1	yes	characteristic
289	C₂×#124	C₂²×C₃	1	1	yes	characteristic
290	C₂×#124	C₂²×C₃	1	1	yes	characteristic, complemented
291	C₂×#124	C₂²×C₃	1	2	yes	complemented
292	C₂×#123	C₂²×C₃	1	2	yes	—
293	C₂×#123	C₂²×C₃	1	1	yes	characteristic
294	C₂×#123	C₂²×C₃	1	1	yes	characteristic
295	C₂×#123	C₂²×C₃	1	1	yes	characteristic
296	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
297	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
298	C₂×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
299	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
300	C₂×#121	C₂²×C₃	1	1	yes	characteristic
301	C₂×#121	C₂²×C₃	1	2	yes	—
302	C₂×#121	C₂²×C₃	1	2	yes	—
303	C₂×#120	C₂²×C₃	1	2	yes	—
304	C₂×#120	C₂²×C₃	1	1	yes	characteristic
305	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
306	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
307	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
308	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
309	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
310	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
311	C₂×#117	C₂²×C₃	1	1	yes	characteristic
312	C₂×#117	C₂²×C₃	1	1	yes	characteristic
313	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
314	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
315	C₂²×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
316	#400	C₂²×C₃	1	1	yes	characteristic, complemented
317	#400	C₂²×C₃	1	1	yes	characteristic, complemented
318	#399	C₂²×C₃	1	1	yes	characteristic
319	#399	C₂²×C₃	1	1	yes	characteristic
320	#398	C₂²×C₃	1	2	yes	complemented
321	#397	C₂²×C₃	1	2	yes	complemented
322	#397	C₂²×C₃	1	2	yes	complemented
323	#396	C₂²×C₃	1	2	yes	—
324	#396	C₂²×C₃	1	2	yes	complemented
325	#395	C₂²×C₃	1	1	yes	characteristic, complemented
326	#395	C₂²×C₃	1	1	yes	characteristic, complemented
327	#395	C₂²×C₃	1	1	yes	characteristic, complemented
328	#395	C₂²×C₃	1	1	yes	characteristic, complemented
329	#394	C₂²×C₃	1	2	yes	—
330	#394	C₂²×C₃	1	2	yes	—
331	#394	C₂²×C₃	1	1	yes	characteristic, complemented
332	#394	C₂²×C₃	1	1	yes	characteristic, complemented
333	#394	C₂²×C₃	1	2	yes	complemented
334	#393	C₂²×C₃	1	2	yes	—
335	#393	C₂²×C₃	1	1	yes	characteristic
336	#393	C₂²×C₃	1	1	yes	characteristic
337	#393	C₂²×C₃	1	1	yes	characteristic
338	#393	C₂²×C₃	1	1	yes	characteristic
339	#393	C₂²×C₃	1	2	yes	—
340	#393	C₂²×C₃	1	2	yes	complemented
341	#392	C₂²×C₃	1	1	yes	characteristic
342	#392	C₂²×C₃	1	2	yes	—
343	#392	C₂²×C₃	1	1	yes	characteristic
344	#391	C₂²×C₃	1	2	yes	complemented
345	#390	C₂²×C₃	1	2	yes	—
346	#390	C₂²×C₃	1	2	yes	—
347	#390	C₂²×C₃	1	2	yes	—
348	#390	C₂²×C₃	1	2	yes	—
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	—
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	#387	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	—
362	#386	C₂²×C₃	1	2	yes	—
363	#386	C₂²×C₃	1	2	yes	—
364	#386	C₂²×C₃	1	2	yes	complemented
365	#385	C₂²×C₃	1	2	yes	—
366	#385	C₂²×C₃	1	2	yes	—
367	#385	C₂²×C₃	1	2	yes	—
368	#385	C₂²×C₃	1	2	yes	complemented
369	#380	C₂²×C₃	1	2	yes	complemented
370	C₄×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
371	C₄×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
372	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
373	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
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	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
378	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
379	#376	C₂²×C₃	1	1	yes	characteristic, complemented
380	C₂×#95	C₂²×C₃	1	2	yes	—
381	C₂×#95	C₂²×C₃	1	1	yes	characteristic
382	C₂×#95	C₂²×C₃	1	1	yes	characteristic, complemented
383	C₂⁴×C₃	—	2	2	no	—
384	C₂⁴×C₃	—	2	2	no	—
385	C₂⁴×C₃	—	2	4	no	—
386	C₂⁴×C₃	—	4	1	no	—
387	C₂⁴×C₃	—	4	2	no	—
388	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
389	C₂⁴×C₃	C₂⁴	1	2	yes	—
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	C₃×#41	—	4	16	no	—
394	C₂×C₃×Q₈	—	2	2	no	—
395	C₂×C₃×Q₈	—	2	4	no	—
396	C₂×C₃×Q₈	—	2	2	no	—
397	C₂×C₃×Q₈	—	2	2	no	—
398	C₂×C₃×Q₈	—	2	4	no	—
399	C₂×C₃×Q₈	—	2	4	no	—
400	C₂×C₃×Q₈	—	4	2	no	—
401	C₂×C₃×Q₈	—	4	2	no	—
402	C₂×C₃×Q₈	—	4	2	no	—
403	C₂×C₃×Q₈	—	4	16	no	—
404	C₂×C₃×D₄	—	2	4	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	4	no	—
409	C₂×C₃×D₄	—	2	4	no	—
410	C₂×C₃×D₄	—	2	4	no	—
411	C₂×C₃×D₄	—	2	2	no	—
412	C₂×C₃×D₄	—	2	2	no	—
413	C₂×C₃×D₄	—	2	2	no	—
414	C₂×C₃×D₄	—	2	4	no	—
415	C₂×C₃×D₄	—	2	4	no	—
416	C₂×C₃×D₄	—	2	4	no	—
417	C₂×C₃×D₄	—	4	2	no	—
418	C₂×C₃×D₄	—	4	1	no	—
419	C₂×C₃×D₄	—	4	2	no	—
420	C₂×C₃×D₄	—	4	2	no	—
421	C₂×C₃×D₄	—	4	2	no	—
422	C₂×C₃×D₄	—	4	2	no	—
423	C₂×C₃×D₄	—	4	2	no	—
424	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
425	C₂²×C₃×C₄	—	2	2	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	4	no	—
430	C₂²×C₃×C₄	—	2	2	no	—
431	C₂²×C₃×C₄	—	2	4	no	—
432	C₂²×C₃×C₄	—	2	4	no	—
433	C₂²×C₃×C₄	—	2	4	no	—
434	C₂²×C₃×C₄	—	2	2	no	—
435	C₂²×C₃×C₄	—	2	4	no	—
436	C₂²×C₃×C₄	—	4	1	no	—
437	C₂²×C₃×C₄	—	4	2	no	—
438	C₂²×C₃×C₄	—	4	2	no	—
439	C₂²×C₃×C₄	—	4	2	no	—
440	C₂²×C₃×C₄	—	4	2	no	—
441	C₂²×C₃×C₄	—	4	2	no	—
442	C₂²×C₃×C₄	—	4	2	no	—
443	C₂²×C₃×C₄	—	4	2	no	—
444	C₂²×C₃×C₄	—	4	2	no	—
445	C₂²×C₃×C₄	—	4	2	no	—
446	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
447	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
448	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
453	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
454	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
455	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
456	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
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	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
462	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
463	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
464	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
465	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
466	C₃×C₄⋊C₄	—	2	2	no	—
467	C₃×C₄⋊C₄	—	2	2	no	—
468	C₃×C₄⋊C₄	—	2	2	no	—
469	C₃×C₄⋊C₄	—	2	2	no	—
470	C₃×C₄⋊C₄	—	2	4	no	—
471	C₃×C₄⋊C₄	—	2	2	no	—
472	C₃×C₄⋊C₄	—	2	4	no	—
473	C₃×C₄⋊C₄	—	2	2	no	—
474	C₃×C₄⋊C₄	—	2	2	no	—
475	C₃×C₄⋊C₄	—	2	2	no	—
476	C₃×C₄⋊C₄	—	2	4	no	—
477	C₃×C₄⋊C₄	—	2	4	no	—
478	C₃×C₄⋊C₄	—	2	4	no	—
479	C₃×C₄⋊C₄	—	2	4	no	—
480	C₃×C₄⋊C₄	—	2	4	no	—
481	C₃×C₄⋊C₄	—	4	2	no	—
482	C₃×C₄⋊C₄	—	4	2	no	—
483	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
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	4	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	—	2	2	no	—
495	C₃×C₂²⋊C₄	—	2	2	no	—
496	C₃×C₂²⋊C₄	—	2	4	no	—
497	C₃×C₂²⋊C₄	—	2	2	no	—
498	C₃×C₂²⋊C₄	—	2	4	no	—
499	C₃×C₂²⋊C₄	—	2	4	no	—
500	C₃×C₂²⋊C₄	—	2	4	no	—
501	C₃×C₂²⋊C₄	—	2	4	no	—
502	C₃×C₂²⋊C₄	—	2	4	no	—
503	C₃×C₂²⋊C₄	—	2	4	no	—
504	C₃×C₂²⋊C₄	—	2	4	no	—
505	C₃×C₂²⋊C₄	—	2	4	no	—
506	C₃×C₂²⋊C₄	—	2	4	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	—	4	2	no	—
512	C₃×C₂²⋊C₄	—	4	2	no	—
513	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
514	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
515	C₃×C₂²⋊C₄	#41	1	8	yes	complemented
516	C₃×C₄²	—	2	2	no	—
517	C₃×C₄²	—	2	2	no	—
518	C₃×C₄²	—	2	4	no	—
519	C₃×C₄²	—	2	4	no	—
520	C₃×C₄²	—	4	2	no	—
521	C₃×C₄²	—	4	2	no	—
522	C₃×C₄²	—	4	2	no	—
523	C₃×C₄²	C₂×D₄	1	4	yes	—
524	C₂⁵	C₂³×C₃	1	1	yes	characteristic
525	C₂×#41	—	2	4	no	—
526	C₂×#41	—	4	4	no	—
527	C₂²×Q₈	—	2	4	no	—
528	C₂²×Q₈	—	4	4	no	—
529	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
530	C₂²×Q₈	C₂³×C₃	1	2	yes	—
531	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
532	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
533	C₂²×D₄	C₂³×C₃	1	2	yes	—
534	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
535	C₂²×D₄	C₂³×C₃	1	2	yes	—
536	C₂²×D₄	C₂³×C₃	1	2	yes	—
537	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
538	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
539	C₂²×D₄	C₂³×C₃	1	2	yes	—
540	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
541	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
542	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
543	C₂³×C₄	C₂³×C₃	1	2	yes	—
544	C₂³×C₄	C₂³×C₃	1	2	yes	—
545	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
546	C₂³×C₄	C₂³×C₃	1	2	yes	—
547	C₂³×C₄	C₂³×C₃	1	2	yes	—
548	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
549	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
550	C₄⋊Q₈	—	4	4	no	—
551	#126	—	2	4	no	—
552	#126	—	2	4	no	—
553	#124	—	2	4	no	—
554	#124	—	2	8	no	—
555	#124	—	2	4	no	—
556	#123	—	2	4	no	—
557	#123	—	2	4	no	—
558	#123	—	2	4	no	—
559	#123	—	2	8	no	—
560	C₂²⋊Q₈	—	2	4	no	—
561	C₂²⋊Q₈	—	2	4	no	—
562	C₂²⋊Q₈	—	2	4	no	—
563	C₂²⋊Q₈	—	2	8	no	—
564	#121	—	2	8	no	—
565	#121	—	2	4	no	—
566	#121	—	4	4	no	—
567	#120	—	2	4	no	—
568	#120	—	2	8	no	—
569	C₄×Q₈	—	2	4	no	—
570	C₄×D₄	—	2	4	no	—
571	C₄×D₄	—	2	8	no	—
572	C₄×D₄	—	2	8	no	—
573	C₄×D₄	—	4	4	no	—
574	C₄×D₄	C₃×D₄	1	8	yes	complemented
575	#117	—	2	4	no	—
576	#117	—	2	4	no	—
577	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
578	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
579	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
580	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
581	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
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	1	yes	characteristic
587	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
588	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
589	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
590	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
591	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
592	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
593	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
594	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
595	C₂×C₂²⋊C₄	—	2	4	no	—
596	C₂×C₂²⋊C₄	—	2	4	no	—
597	C₂×C₂²⋊C₄	—	4	4	no	—
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	1	yes	characteristic
605	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
606	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
607	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
608	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
609	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
625	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
626	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
627	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
628	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
629	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
630	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
631	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
632	C₂×C₄²	C₂³×C₃	1	2	yes	—
633	C₂×C₄²	C₂³×C₃	1	2	yes	—
634	C₂×C₄²	C₂³×C₃	1	2	yes	—
635	C₂×C₄²	C₂³×C₃	1	2	yes	—
636	C₂×C₄²	C₂³×C₃	1	2	yes	—
637	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
638	#95	C₂³×C₃	1	1	yes	characteristic
639	#95	C₂³×C₃	1	2	yes	—
640	#95	C₂³×C₃	1	2	yes	—
641	#95	C₂³×C₃	1	1	yes	characteristic
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	1	yes	characteristic
647	#95	C₂³×C₃	1	2	yes	—
648	#95	C₂³×C₃	1	1	yes	characteristic
649	#95	C₂³×C₃	1	2	yes	—
650	#95	C₂³×C₃	1	2	yes	—
651	#95	C₂³×C₃	1	2	yes	—
652	#95	C₂³×C₃	1	2	yes	—
653	#95	C₂³×C₃	1	2	yes	—
654	#95	C₂³×C₃	1	2	yes	—
655	#95	C₂³×C₃	1	2	yes	—
656	#95	C₂³×C₃	1	2	yes	—
657	C₂³×C₃	—	2	2	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	2	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	2	no	—
670	C₂³×C₃	—	2	2	no	—
671	C₂³×C₃	—	2	2	no	—
672	C₂³×C₃	—	2	2	no	—
673	C₂³×C₃	—	2	2	no	—
674	C₂³×C₃	—	2	2	no	—
675	C₂³×C₃	—	2	2	no	—
676	C₂³×C₃	—	2	2	no	—
677	C₂³×C₃	—	2	1	no	—
678	C₂³×C₃	—	2	2	no	—
679	C₂³×C₃	—	2	1	no	—
680	C₂³×C₃	—	4	4	no	—
681	C₂³×C₃	—	4	8	no	—
682	C₂³×C₃	—	4	4	no	—
683	C₂³×C₃	—	8	2	no	—
684	C₂³×C₃	—	8	4	no	—
685	C₂³×C₃	C₂²×D₄	1	2	yes	—
686	C₂³×C₃	C₂²×D₄	1	2	yes	—
687	C₂³×C₃	C₂×#41	1	4	yes	—
688	C₂³×C₃	2₋¹⁺⁴	1	2	yes	—
689	C₂³×C₃	C₂⁵	1	1	yes	characteristic
690	C₃×Q₈	—	2	8	no	—
691	C₃×Q₈	—	4	8	no	—
692	C₃×Q₈	—	4	4	no	—
693	C₃×Q₈	—	8	2	no	—
694	C₃×D₄	—	2	8	no	—
695	C₃×D₄	—	4	8	no	—
696	C₃×D₄	—	4	8	no	—
697	C₃×D₄	—	4	4	no	—
698	C₃×D₄	—	4	4	no	—
699	C₃×D₄	—	4	8	no	—
700	C₃×D₄	—	8	4	no	—
701	C₃×D₄	—	8	2	no	—
702	C₂×C₃×C₄	—	2	2	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	2	no	—
709	C₂×C₃×C₄	—	2	2	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	1	no	—
715	C₂×C₃×C₄	—	2	2	no	—
716	C₂×C₃×C₄	—	2	1	no	—
717	C₂×C₃×C₄	—	2	1	no	—
718	C₂×C₃×C₄	—	2	1	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	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	1	no	—
735	C₂×C₃×C₄	—	2	1	no	—
736	C₂×C₃×C₄	—	2	2	no	—
737	C₂×C₃×C₄	—	2	1	no	—
738	C₂×C₃×C₄	—	2	1	no	—
739	C₂×C₃×C₄	—	2	2	no	—
740	C₂×C₃×C₄	—	4	4	no	—
741	C₂×C₃×C₄	—	4	4	no	—
742	C₂×C₃×C₄	—	4	8	no	—
743	C₂×C₃×C₄	—	4	4	no	—
744	C₂×C₃×C₄	—	4	8	no	—
745	C₂×C₃×C₄	—	4	4	no	—
746	C₂×C₃×C₄	—	8	2	no	—
747	C₂×C₃×C₄	—	8	4	no	—
748	C₂×C₃×C₄	—	8	4	no	—
749	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
750	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
751	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
752	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
753	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
754	C₂×C₃×C₄	C₂×#41	1	4	yes	—
755	C₂×C₃×C₄	C₂×#41	1	4	yes	—
756	C₂×C₃×C₄	H(5,𝔽₂)	1	4	yes	—
757	C₂⁴	—	2	2	no	—
758	C₂⁴	—	2	2	no	—
759	C₂⁴	—	2	4	no	—
760	C₂⁴	—	4	2	no	—
761	C₂⁴	—	4	1	no	—
762	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
763	C₂⁴	C₂⁴×C₃	1	2	yes	—
764	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
765	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
766	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
767	#41	—	4	16	no	—
768	C₂×Q₈	—	2	2	no	—
769	C₂×Q₈	—	2	4	no	—
770	C₂×Q₈	—	2	2	no	—
771	C₂×Q₈	—	2	2	no	—
772	C₂×Q₈	—	2	4	no	—
773	C₂×Q₈	—	2	4	no	—
774	C₂×Q₈	—	4	2	no	—
775	C₂×Q₈	—	4	2	no	—
776	C₂×Q₈	—	4	2	no	—
777	C₂×Q₈	—	4	16	no	—
778	C₂×D₄	—	2	4	no	—
779	C₂×D₄	—	2	2	no	—
780	C₂×D₄	—	2	4	no	—
781	C₂×D₄	—	2	4	no	—
782	C₂×D₄	—	2	4	no	—
783	C₂×D₄	—	2	4	no	—
784	C₂×D₄	—	2	4	no	—
785	C₂×D₄	—	2	2	no	—
786	C₂×D₄	—	2	2	no	—
787	C₂×D₄	—	2	2	no	—
788	C₂×D₄	—	2	4	no	—
789	C₂×D₄	—	2	4	no	—
790	C₂×D₄	—	2	4	no	—
791	C₂×D₄	—	4	2	no	—
792	C₂×D₄	—	4	2	no	—
793	C₂×D₄	—	4	2	no	—
794	C₂×D₄	—	4	1	no	—
795	C₂×D₄	—	4	2	no	—
796	C₂×D₄	—	4	2	no	—
797	C₂×D₄	—	4	2	no	—
798	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
799	C₂²×C₄	—	2	2	no	—
800	C₂²×C₄	—	2	4	no	—
801	C₂²×C₄	—	2	4	no	—
802	C₂²×C₄	—	2	2	no	—
803	C₂²×C₄	—	2	4	no	—
804	C₂²×C₄	—	2	2	no	—
805	C₂²×C₄	—	2	4	no	—
806	C₂²×C₄	—	2	4	no	—
807	C₂²×C₄	—	2	4	no	—
808	C₂²×C₄	—	2	2	no	—
809	C₂²×C₄	—	2	4	no	—
810	C₂²×C₄	—	4	2	no	—
811	C₂²×C₄	—	4	2	no	—
812	C₂²×C₄	—	4	2	no	—
813	C₂²×C₄	—	4	2	no	—
814	C₂²×C₄	—	4	1	no	—
815	C₂²×C₄	—	4	2	no	—
816	C₂²×C₄	—	4	2	no	—
817	C₂²×C₄	—	4	2	no	—
818	C₂²×C₄	—	4	2	no	—
819	C₂²×C₄	—	4	2	no	—
820	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
821	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
822	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
823	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
824	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
825	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
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	2	yes	—
830	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
831	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
832	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
833	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
834	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
835	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
836	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
837	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
838	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
839	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
840	C₄⋊C₄	—	2	2	no	—
841	C₄⋊C₄	—	2	2	no	—
842	C₄⋊C₄	—	2	2	no	—
843	C₄⋊C₄	—	2	2	no	—
844	C₄⋊C₄	—	2	4	no	—
845	C₄⋊C₄	—	2	2	no	—
846	C₄⋊C₄	—	2	4	no	—
847	C₄⋊C₄	—	2	2	no	—
848	C₄⋊C₄	—	2	2	no	—
849	C₄⋊C₄	—	2	2	no	—
850	C₄⋊C₄	—	2	4	no	—
851	C₄⋊C₄	—	2	4	no	—
852	C₄⋊C₄	—	2	4	no	—
853	C₄⋊C₄	—	2	4	no	—
854	C₄⋊C₄	—	2	4	no	—
855	C₄⋊C₄	—	4	2	no	—
856	C₄⋊C₄	—	4	2	no	—
857	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
858	C₂²⋊C₄	—	2	2	no	—
859	C₂²⋊C₄	—	2	2	no	—
860	C₂²⋊C₄	—	2	2	no	—
861	C₂²⋊C₄	—	2	4	no	—
862	C₂²⋊C₄	—	2	2	no	—
863	C₂²⋊C₄	—	2	2	no	—
864	C₂²⋊C₄	—	2	2	no	—
865	C₂²⋊C₄	—	2	2	no	—
866	C₂²⋊C₄	—	2	2	no	—
867	C₂²⋊C₄	—	2	2	no	—
868	C₂²⋊C₄	—	2	2	no	—
869	C₂²⋊C₄	—	2	2	no	—
870	C₂²⋊C₄	—	2	4	no	—
871	C₂²⋊C₄	—	2	2	no	—
872	C₂²⋊C₄	—	2	4	no	—
873	C₂²⋊C₄	—	2	4	no	—
874	C₂²⋊C₄	—	2	4	no	—
875	C₂²⋊C₄	—	2	4	no	—
876	C₂²⋊C₄	—	2	4	no	—
877	C₂²⋊C₄	—	2	4	no	—
878	C₂²⋊C₄	—	2	4	no	—
879	C₂²⋊C₄	—	2	4	no	—
880	C₂²⋊C₄	—	2	4	no	—
881	C₂²⋊C₄	—	4	2	no	—
882	C₂²⋊C₄	—	4	2	no	—
883	C₂²⋊C₄	—	4	2	no	—
884	C₂²⋊C₄	—	4	2	no	—
885	C₂²⋊C₄	—	4	2	no	—
886	C₂²⋊C₄	—	4	2	no	—
887	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
888	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
889	C₂²⋊C₄	C₃×#41	1	8	yes	complemented
890	C₄²	—	2	2	no	—
891	C₄²	—	2	2	no	—
892	C₄²	—	2	4	no	—
893	C₄²	—	2	4	no	—
894	C₄²	—	4	2	no	—
895	C₄²	—	4	2	no	—
896	C₄²	—	4	2	no	—
897	C₄²	C₂×C₃×D₄	1	4	yes	—
898	C₂²×C₃	—	2	2	no	—
899	C₂²×C₃	—	2	2	no	—
900	C₂²×C₃	—	2	4	no	—
901	C₂²×C₃	—	2	4	no	—
902	C₂²×C₃	—	2	2	no	—
903	C₂²×C₃	—	2	2	no	—
904	C₂²×C₃	—	2	2	no	—
905	C₂²×C₃	—	2	2	no	—
906	C₂²×C₃	—	2	4	no	—
907	C₂²×C₃	—	4	1	no	—
908	C₂²×C₃	—	4	1	no	—
909	C₂²×C₃	—	4	2	no	—
910	C₂²×C₃	—	4	2	no	—
911	C₂²×C₃	—	4	2	no	—
912	C₂²×C₃	—	4	2	no	—
913	C₂²×C₃	—	4	1	no	—
914	C₂²×C₃	—	4	2	no	—
915	C₂²×C₃	—	4	1	no	—
916	C₂²×C₃	—	4	2	no	—
917	C₂²×C₃	—	4	1	no	—
918	C₂²×C₃	—	4	2	no	—
919	C₂²×C₃	—	4	2	no	—
920	C₂²×C₃	—	4	2	no	—
921	C₂²×C₃	—	4	2	no	—
922	C₂²×C₃	—	4	2	no	—
923	C₂²×C₃	—	4	2	no	—
924	C₂²×C₃	—	8	8	no	—
925	C₂²×C₃	#532	1	4	yes	—
926	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
927	C₂²×C₃	C₂²×#41	1	2	yes	—
928	C₂²×C₃	C₂×H(5,𝔽₂)	1	2	yes	—
929	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
930	C₂²×C₃	#585	1	1	yes	characteristic
931	C₃×C₄	—	2	2	no	—
932	C₃×C₄	—	2	2	no	—
933	C₃×C₄	—	2	2	no	—
934	C₃×C₄	—	2	4	no	—
935	C₃×C₄	—	2	2	no	—
936	C₃×C₄	—	2	2	no	—
937	C₃×C₄	—	2	4	no	—
938	C₃×C₄	—	2	4	no	—
939	C₃×C₄	—	4	1	no	—
940	C₃×C₄	—	4	1	no	—
941	C₃×C₄	—	4	2	no	—
942	C₃×C₄	—	4	2	no	—
943	C₃×C₄	—	4	1	no	—
944	C₃×C₄	—	4	1	no	—
945	C₃×C₄	—	4	1	no	—
946	C₃×C₄	—	4	1	no	—
947	C₃×C₄	—	4	2	no	—
948	C₃×C₄	—	4	2	no	—
949	C₂³	—	2	2	no	—
950	C₂³	—	2	1	no	—
951	C₂³	—	2	1	no	—
952	C₂³	—	2	1	no	—
953	C₂³	—	2	2	no	—
954	C₂³	—	2	2	no	—
955	C₂³	—	2	2	no	—
956	C₂³	—	2	2	no	—
957	C₂³	—	2	1	no	—
958	C₂³	—	2	1	no	—
959	C₂³	—	2	1	no	—
960	C₂³	—	2	1	no	—
961	C₂³	—	2	2	no	—
962	C₂³	—	2	2	no	—
963	C₂³	—	2	2	no	—
964	C₂³	—	2	2	no	—
965	C₂³	—	2	2	no	—
966	C₂³	—	2	2	no	—
967	C₂³	—	2	2	no	—
968	C₂³	—	2	2	no	—
969	C₂³	—	2	1	no	—
970	C₂³	—	2	2	no	—
971	C₂³	—	2	1	no	—
972	C₂³	—	4	4	no	—
973	C₂³	—	4	8	no	—
974	C₂³	—	4	4	no	—
975	C₂³	—	8	2	no	—
976	C₂³	—	8	4	no	—
977	C₂³	C₂²×C₃×D₄	1	2	yes	—
978	C₂³	C₂²×C₃×D₄	1	2	yes	—
979	C₂³	C₂×C₃×#41	1	4	yes	—
980	C₂³	C₃×2₋¹⁺⁴	1	2	yes	—
981	C₂³	C₂⁵×C₃	1	1	yes	characteristic
982	Q₈	—	2	8	no	—
983	Q₈	—	4	8	no	—
984	Q₈	—	4	4	no	—
985	Q₈	—	8	2	no	—
986	D₄	—	2	8	no	—
987	D₄	—	4	8	no	—
988	D₄	—	4	8	no	—
989	D₄	—	4	4	no	—
990	D₄	—	4	4	no	—
991	D₄	—	4	8	no	—
992	D₄	—	8	4	no	—
993	D₄	—	8	2	no	—
994	C₂×C₄	—	2	2	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	2	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	1	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	2	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	1	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	1	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	4	4	no	—
1033	C₂×C₄	—	4	4	no	—
1034	C₂×C₄	—	4	8	no	—
1035	C₂×C₄	—	4	8	no	—
1036	C₂×C₄	—	4	4	no	—
1037	C₂×C₄	—	4	4	no	—
1038	C₂×C₄	—	8	2	no	—
1039	C₂×C₄	—	8	4	no	—
1040	C₂×C₄	—	8	4	no	—
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×C₄	C₂²×C₃×D₄	1	2	yes	—
1045	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1046	C₂×C₄	C₂×C₃×#41	1	4	yes	—
1047	C₂×C₄	C₂×C₃×#41	1	4	yes	—
1048	C₂×C₄	C₃×H(5,𝔽₂)	1	4	yes	—
1049	C₂×C₃	—	2	4	no	—
1050	C₂×C₃	—	4	2	no	—
1051	C₂×C₃	—	4	2	no	—
1052	C₂×C₃	—	8	2	no	—
1053	C₂×C₃	—	8	1	no	—
1054	C₂×C₃	C₂×#532	1	1	yes	characteristic
1055	C₂×C₃	#3484	1	1	yes	characteristic
1056	C₂×C₃	#3489	1	1	yes	characteristic
1057	C₂×C₃	#3514	1	2	yes	—
1058	C₂×C₃	#3520	1	2	yes	—
1059	C₂²	—	2	2	no	—
1060	C₂²	—	2	2	no	—
1061	C₂²	—	2	4	no	—
1062	C₂²	—	2	4	no	—
1063	C₂²	—	2	2	no	—
1064	C₂²	—	2	2	no	—
1065	C₂²	—	2	2	no	—
1066	C₂²	—	2	2	no	—
1067	C₂²	—	2	4	no	—
1068	C₂²	—	4	1	no	—
1069	C₂²	—	4	1	no	—
1070	C₂²	—	4	2	no	—
1071	C₂²	—	4	2	no	—
1072	C₂²	—	4	2	no	—
1073	C₂²	—	4	2	no	—
1074	C₂²	—	4	1	no	—
1075	C₂²	—	4	2	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	—	4	2	no	—
1085	C₂²	—	8	8	no	—
1086	C₂²	C₃×#532	1	4	yes	—
1087	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1088	C₂²	C₂²×C₃×#41	1	2	yes	—
1089	C₂²	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1090	C₂²	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
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	4	no	—
1096	C₄	—	2	2	no	—
1097	C₄	—	2	2	no	—
1098	C₄	—	2	4	no	—
1099	C₄	—	2	4	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	1	no	—
1107	C₄	—	4	1	no	—
1108	C₄	—	4	2	no	—
1109	C₄	—	4	2	no	—
1110	C₃	#35940	1	1	yes	characteristic, direct product factor, Sylow
1111	C₂	—	2	4	no	—
1112	C₂	—	4	2	no	—
1113	C₂	—	4	2	no	—
1114	C₂	—	8	1	no	—
1115	C₂	—	8	2	no	—
1116	C₂	C₂×C₃×#532	1	1	yes	characteristic
1117	C₂	C₃×#3484	1	1	yes	characteristic
1118	C₂	C₃×#3489	1	1	yes	characteristic
1119	C₂	C₃×#3514	1	2	yes	—
1120	C₂	C₃×#3520	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#551	C₂	semidirect
2. C₂×C₃×#548	C₂	semidirect
3. C₃×#2663	C₂	semidirect
4. C₃×#2662	C₂	semidirect
5. C₃×#2639	C₂	semidirect
6. C₃×#2610	C₂	semidirect
7. C₃×#2604	C₂	semidirect
8. C₃×#2564	C₂	semidirect
9. C₃×#2560	C₂	semidirect
10. C₃×#2557	C₂	semidirect
11. C₃×#2539	C₂	semidirect
12. C₃×#2491	C₂	semidirect
13. C₃×#2452	C₂	semidirect
14. C₃×#2434	C₂	semidirect
15. C₃×#2430	C₂	semidirect
16. C₃×#2425	C₂	semidirect
17. C₃×#2424	C₂	semidirect
18. C₃×#2396	C₂	semidirect
19. C₃×#2388	C₂	semidirect
20. C₂×C₃×#393	C₂	semidirect
21. C₃×#2359	C₂	semidirect
22. C₃×#2358	C₂	semidirect
23. C₃×#2275	C₂	semidirect
24. #35940	C₃	direct (N × H)
25. C₂²×C₃×#41	C₂²	semidirect
29. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
33. C₂×C₃×#124	C₂²	semidirect
34. C₂×C₃×#124	C₂²	semidirect
41. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
42. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
48. C₂×C₃×C₄×Q₈	C₂²	semidirect
59. C₃×#400	C₂²	semidirect
60. C₃×#400	C₂²	semidirect
63. C₃×#398	C₂²	semidirect
64. C₃×#397	C₂²	semidirect
65. C₃×#397	C₂²	semidirect
67. C₃×#396	C₂²	semidirect
68. C₃×#395	C₂²	semidirect
69. C₃×#395	C₂²	semidirect
70. C₃×#395	C₂²	semidirect
71. C₃×#395	C₂²	semidirect
74. C₃×#394	C₂²	semidirect
75. C₃×#394	C₂²	semidirect
76. C₃×#394	C₂²	semidirect
83. C₃×#393	C₂²	semidirect
87. C₃×#391	C₂²	semidirect
92. C₃×#389	C₂²	semidirect
93. C₃×#389	C₂²	semidirect
97. C₃×#388	C₂²	semidirect
98. C₃×#388	C₂²	semidirect
99. C₃×#388	C₂²	semidirect
100. C₃×#387	C₂²	semidirect
101. C₃×#387	C₂²	semidirect
107. C₃×#386	C₂²	semidirect
111. C₃×#385	C₂²	semidirect
112. C₃×#380	C₂²	semidirect
113. C₃×C₄×C₄⋊C₄	C₂²	semidirect
114. C₃×C₄×C₄⋊C₄	C₂²	semidirect
115. C₃×C₄×C₄⋊C₄	C₂²	semidirect
119. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
120. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
121. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
122. C₃×#376	C₂²	semidirect
125. C₂×C₃×#95	C₂²	semidirect
126. C₂×#551	C₂×C₃	semidirect
127. C₂×#548	C₂×C₃	semidirect
128. #2663	C₂×C₃	semidirect
129. #2662	C₂×C₃	semidirect
130. #2639	C₂×C₃	semidirect
131. #2610	C₂×C₃	semidirect
132. #2604	C₂×C₃	semidirect
133. #2564	C₂×C₃	semidirect
134. #2560	C₂×C₃	semidirect
135. #2557	C₂×C₃	semidirect
136. #2539	C₂×C₃	semidirect
137. #2491	C₂×C₃	semidirect
138. #2452	C₂×C₃	semidirect
139. #2434	C₂×C₃	semidirect
140. #2430	C₂×C₃	semidirect
141. #2425	C₂×C₃	semidirect
142. #2424	C₂×C₃	semidirect
143. #2396	C₂×C₃	semidirect
144. #2388	C₂×C₃	semidirect
145. C₂×#393	C₂×C₃	semidirect
146. #2359	C₂×C₃	semidirect
147. #2358	C₂×C₃	semidirect
148. #2275	C₂×C₃	semidirect
199. C₃×C₄×D₄	D₄	semidirect
282. C₂²×#41	C₂²×C₃	semidirect
286. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
290. C₂×#124	C₂²×C₃	semidirect
291. C₂×#124	C₂²×C₃	semidirect
298. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
299. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
305. C₂×C₄×Q₈	C₂²×C₃	semidirect
316. #400	C₂²×C₃	semidirect
317. #400	C₂²×C₃	semidirect
320. #398	C₂²×C₃	semidirect
321. #397	C₂²×C₃	semidirect
322. #397	C₂²×C₃	semidirect
324. #396	C₂²×C₃	semidirect
325. #395	C₂²×C₃	semidirect
326. #395	C₂²×C₃	semidirect
327. #395	C₂²×C₃	semidirect
328. #395	C₂²×C₃	semidirect
331. #394	C₂²×C₃	semidirect
332. #394	C₂²×C₃	semidirect
333. #394	C₂²×C₃	semidirect
340. #393	C₂²×C₃	semidirect
344. #391	C₂²×C₃	semidirect
349. #389	C₂²×C₃	semidirect
350. #389	C₂²×C₃	semidirect
354. #388	C₂²×C₃	semidirect
355. #388	C₂²×C₃	semidirect
356. #388	C₂²×C₃	semidirect
357. #387	C₂²×C₃	semidirect
358. #387	C₂²×C₃	semidirect
364. #386	C₂²×C₃	semidirect
368. #385	C₂²×C₃	semidirect
369. #380	C₂²×C₃	semidirect
370. C₄×C₄⋊C₄	C₂²×C₃	semidirect
371. C₄×C₄⋊C₄	C₂²×C₃	semidirect
372. C₄×C₄⋊C₄	C₂²×C₃	semidirect
376. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
377. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
378. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
379. #376	C₂²×C₃	semidirect
382. C₂×#95	C₂²×C₃	semidirect
515. C₃×C₂²⋊C₄	#41	semidirect
574. C₄×D₄	C₃×D₄	semidirect
889. C₂²⋊C₄	C₃×#41	semidirect
1110. C₃	#35940	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×#551	2
C₂×C₃×#548	2
C₃×#2663	2
C₃×#2662	2
C₃×#2639	2
C₃×#2610	2
C₃×#2604	2
C₃×#2564	2
C₃×#2560	2
C₃×#2557	2
C₃×#2539	2
C₃×#2491	2
C₃×#2452	2
C₃×#2434	2
C₃×#2430	2
C₃×#2425	2
C₃×#2424	2
C₃×#2396	2
C₃×#2388	2
C₂×C₃×#393	2
C₃×#2359	2
C₃×#2358	2
C₃×#2275	2
#35940	3

Subgroups — C3×#35940 #10654547

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#35940 #10654547