Subgroups — C₃×#62903 #10681510

Order 768.

6628 conjugacy classes of subgroups.

The subgroup lattice has 974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3564	C₂	1	6	yes	maximal, complemented
2	C₃×#3564	C₂	1	6	yes	maximal, complemented
3	C₃×#3561	C₂	1	6	yes	maximal, complemented
4	C₃×#3538	C₂	1	6	yes	maximal, complemented
5	C₃×#3535	C₂	1	6	yes	maximal, complemented
6	C₃×#3535	C₂	1	6	yes	maximal, complemented
7	C₃×#3520	C₂	1	6	yes	maximal, complemented
8	C₃×#3501	C₂	1	3	yes	maximal, complemented
9	C₃×#3495	C₂	1	6	yes	maximal, complemented
10	C₃×#3491	C₂	1	3	yes	maximal, complemented
11	C₃×#3490	C₂	1	3	yes	maximal, complemented
12	C₂×C₃×#551	C₂	1	3	yes	maximal, complemented
13	C₃×#3459	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3458	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₃×#543	C₂	1	1	yes	maximal, characteristic, complemented
16	#62903	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
17	C₃×#563	C₂²	1	12	yes	complemented
18	C₃×#563	C₂²	1	12	yes	complemented
19	C₃×#563	C₂²	1	12	yes	complemented
20	C₃×#562	C₂²	1	12	yes	complemented
21	C₃×#556	C₂²	1	12	yes	complemented
22	C₃×#556	C₂²	1	6	yes	complemented
23	C₃×#554	C₂²	1	12	yes	complemented
24	C₃×#554	C₂²	1	12	yes	complemented
25	C₃×#554	C₂²	1	12	yes	complemented
26	C₃×#552	C₂²	1	12	yes	complemented
27	C₃×#552	C₂²	1	12	yes	complemented
28	C₃×#552	C₂²	1	6	yes	complemented
29	C₃×#552	C₂²	1	12	yes	complemented
30	C₃×#552	C₂²	1	12	yes	complemented
31	C₃×#552	C₂²	1	6	yes	complemented
32	C₃×#551	C₂²	1	12	yes	complemented
33	C₃×#551	C₂²	1	12	yes	complemented
34	C₃×#551	C₂²	1	12	yes	complemented
35	C₃×#551	C₂²	1	12	yes	complemented
36	C₃×#551	C₂²	1	12	yes	complemented
37	C₃×#551	C₂²	1	12	yes	complemented
38	C₃×#551	C₂²	1	12	yes	complemented
39	C₃×#551	C₂²	1	12	yes	complemented
40	C₃×D₄×Q₈	C₂²	1	12	yes	complemented
41	C₃×D₄×Q₈	C₂²	1	6	yes	complemented
42	C₃×#548	C₂²	1	2	yes	complemented
43	C₃×#548	C₂²	1	6	yes	complemented
44	C₃×#547	C₂²	1	6	yes	complemented
45	C₃×#547	C₂²	1	6	yes	complemented
46	C₃×#546	C₂²	1	12	yes	complemented
47	C₃×#546	C₂²	1	12	yes	complemented
48	C₃×#544	C₂²	1	6	yes	complemented
49	C₃×#544	C₂²	1	6	yes	complemented
50	C₃×#544	C₂²	1	6	yes	complemented
51	C₃×#544	C₂²	1	6	yes	complemented
52	C₃×#543	C₂²	1	1	yes	characteristic
53	C₃×#543	C₂²	1	3	yes	—
54	C₃×#543	C₂²	1	3	yes	—
55	C₃×#543	C₂²	1	6	yes	complemented
56	C₃×#543	C₂²	1	6	yes	complemented
57	C₃×#543	C₂²	1	6	yes	complemented
58	C₃×#542	C₂²	1	6	yes	complemented
59	C₃×#542	C₂²	1	6	yes	complemented
60	C₃×#542	C₂²	1	12	yes	complemented
61	C₃×#542	C₂²	1	12	yes	complemented
62	C₃×#541	C₂²	1	6	yes	complemented
63	C₃×#541	C₂²	1	6	yes	complemented
64	C₃×#541	C₂²	1	12	yes	complemented
65	C₃×#539	C₂²	1	6	yes	complemented
66	C₃×#539	C₂²	1	6	yes	complemented
67	C₃×#539	C₂²	1	6	yes	complemented
68	C₃×#539	C₂²	1	12	yes	complemented
69	C₃×#539	C₂²	1	12	yes	complemented
70	C₃×#539	C₂²	1	12	yes	complemented
71	C₃×#538	C₂²	1	6	yes	—
72	C₃×#538	C₂²	1	6	yes	—
73	C₃×#538	C₂²	1	6	yes	complemented
74	C₃×#536	C₂²	1	6	yes	complemented
75	C₃×#536	C₂²	1	12	yes	complemented
76	C₃×#534	C₂²	1	3	yes	—
77	C₃×#533	C₂²	1	6	yes	complemented
78	C₃×#533	C₂²	1	6	yes	complemented
79	C₃×#533	C₂²	1	6	yes	complemented
80	C₃×#529	C₂²	1	6	yes	complemented
81	C₃×#529	C₂²	1	6	yes	complemented
82	C₃×#529	C₂²	1	6	yes	complemented
83	C₂×C₃×#126	C₂²	1	3	yes	complemented
84	C₂×C₃×#126	C₂²	1	3	yes	complemented
85	C₂×C₃×#124	C₂²	1	3	yes	complemented
86	C₃×#525	C₂²	1	6	yes	—
87	C₃×#525	C₂²	1	6	yes	—
88	C₃×#525	C₂²	1	6	yes	complemented
89	C₂×C₃×#123	C₂²	1	3	yes	—
90	C₂×C₃×#123	C₂²	1	3	yes	complemented
91	C₂×C₃×#123	C₂²	1	3	yes	complemented
92	C₂×C₃×C₂²⋊Q₈	C₂²	1	3	yes	—
93	C₂×C₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
94	C₂×C₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
95	C₂×C₃×C₂²⋊Q₈	C₂²	1	3	yes	complemented
96	C₂×C₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
97	C₂×C₃×#120	C₂²	1	3	yes	—
98	C₃×#520	C₂²	1	6	yes	complemented
99	C₃×#519	C₂²	1	2	yes	complemented
100	C₃×#518	C₂²	1	6	yes	—
101	C₂×C₃×C₄×D₄	C₂²	1	3	yes	—
102	C₂×C₃×C₄×D₄	C₂²	1	3	yes	complemented
103	C₂×C₃×#117	C₂²	1	3	yes	—
104	C₂×C₃×#117	C₂²	1	3	yes	complemented
105	C₂²×C₃×C₂²⋊C₄	C₂²	1	3	yes	—
106	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
107	#3564	C₂×C₃	1	6	yes	complemented
108	#3564	C₂×C₃	1	6	yes	complemented
109	#3561	C₂×C₃	1	6	yes	complemented
110	#3538	C₂×C₃	1	6	yes	complemented
111	#3535	C₂×C₃	1	6	yes	complemented
112	#3535	C₂×C₃	1	6	yes	complemented
113	#3520	C₂×C₃	1	6	yes	complemented
114	#3501	C₂×C₃	1	3	yes	complemented
115	#3495	C₂×C₃	1	6	yes	complemented
116	#3491	C₂×C₃	1	3	yes	complemented
117	#3490	C₂×C₃	1	3	yes	complemented
118	C₂×#551	C₂×C₃	1	3	yes	complemented
119	#3459	C₂×C₃	1	1	yes	characteristic, complemented
120	#3458	C₂×C₃	1	1	yes	characteristic, complemented
121	C₂×#543	C₂×C₃	1	1	yes	characteristic, complemented
122	C₂⁵×C₃	C₂³	1	1	yes	characteristic
123	C₂×C₃×#41	C₂³	1	6	yes	—
124	C₂×C₃×#41	C₂³	1	6	yes	—
125	C₂×C₃×#41	C₂³	1	2	yes	complemented
126	C₂²×C₃×Q₈	C₂³	1	2	yes	—
127	C₂²×C₃×Q₈	C₂³	1	3	yes	—
128	C₂²×C₃×Q₈	C₂³	1	2	yes	—
129	C₂²×C₃×Q₈	C₂³	1	6	yes	complemented
130	C₂²×C₃×D₄	C₂³	1	3	yes	—
131	C₂²×C₃×D₄	C₂³	1	3	yes	—
132	C₂²×C₃×D₄	C₂³	1	3	yes	—
133	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
134	C₂³×C₃×C₄	C₂³	1	3	yes	—
135	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
136	C₂³×C₃×C₄	C₂³	1	3	yes	—
137	C₂³×C₃×C₄	C₂³	1	3	yes	—
138	C₃×C₄⋊Q₈	C₂³	1	6	yes	complemented
139	C₃×C₄⋊Q₈	C₂³	1	6	yes	complemented
140	C₃×C₄⋊Q₈	C₂³	1	6	yes	complemented
141	C₃×C₄⋊Q₈	C₂³	1	6	yes	complemented
142	C₃×C₄⋊Q₈	C₂³	1	12	yes	complemented
143	C₃×C₄⋊Q₈	C₂³	1	12	yes	complemented
144	C₃×C₄⋊Q₈	C₂³	1	6	yes	complemented
145	C₃×C₄⋊Q₈	C₂³	1	6	yes	complemented
146	C₃×#126	C₂³	1	12	yes	—
147	C₃×#126	C₂³	1	12	yes	—
148	C₃×#126	C₂³	1	12	yes	—
149	C₃×#126	C₂³	1	12	yes	—
150	C₃×#126	C₂³	1	12	yes	—
151	C₃×#126	C₂³	1	12	yes	—
152	C₃×#126	C₂³	1	12	yes	complemented
153	C₃×#126	C₂³	1	12	yes	complemented
154	C₃×#126	C₂³	1	12	yes	complemented
155	C₃×#126	C₂³	1	12	yes	complemented
156	C₃×#126	C₂³	1	12	yes	complemented
157	C₃×#125	C₂³	1	12	yes	complemented
158	C₃×#125	C₂³	1	6	yes	complemented
159	C₃×#125	C₂³	1	12	yes	complemented
160	C₃×#125	C₂³	1	12	yes	complemented
161	C₃×#125	C₂³	1	12	yes	complemented
162	C₃×#125	C₂³	1	12	yes	complemented
163	C₃×#125	C₂³	1	6	yes	complemented
164	C₃×#125	C₂³	1	6	yes	complemented
165	C₃×#125	C₂³	1	12	yes	complemented
166	C₃×#125	C₂³	1	12	yes	complemented
167	C₃×#124	C₂³	1	12	yes	—
168	C₃×#124	C₂³	1	12	yes	—
169	C₃×#124	C₂³	1	12	yes	—
170	C₃×#124	C₂³	1	12	yes	—
171	C₃×#124	C₂³	1	6	yes	complemented
172	C₃×#124	C₂³	1	6	yes	complemented
173	C₃×#124	C₂³	1	6	yes	complemented
174	C₃×#123	C₂³	1	12	yes	—
175	C₃×#123	C₂³	1	12	yes	—
176	C₃×#123	C₂³	1	12	yes	—
177	C₃×#123	C₂³	1	12	yes	—
178	C₃×#123	C₂³	1	12	yes	—
179	C₃×#123	C₂³	1	12	yes	—
180	C₃×#123	C₂³	1	12	yes	—
181	C₃×#123	C₂³	1	12	yes	—
182	C₃×#123	C₂³	1	12	yes	—
183	C₃×#123	C₂³	1	12	yes	—
184	C₃×#123	C₂³	1	12	yes	—
185	C₃×#123	C₂³	1	12	yes	complemented
186	C₃×#123	C₂³	1	12	yes	complemented
187	C₃×#123	C₂³	1	12	yes	complemented
188	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
189	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
190	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
191	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
192	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
193	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
194	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
195	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
196	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
197	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
198	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
199	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
200	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
201	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
202	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
203	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
204	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
205	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
206	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
207	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
208	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
209	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
210	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
211	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
212	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
213	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
214	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
215	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
216	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
217	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
218	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
219	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
220	C₃×#121	C₂³	1	6	yes	—
221	C₃×#121	C₂³	1	12	yes	—
222	C₃×#121	C₂³	1	12	yes	—
223	C₃×#121	C₂³	1	6	yes	—
224	C₃×#121	C₂³	1	6	yes	—
225	C₃×#121	C₂³	1	6	yes	—
226	C₃×#121	C₂³	1	6	yes	complemented
227	C₃×#120	C₂³	1	12	yes	—
228	C₃×#120	C₂³	1	12	yes	—
229	C₃×#120	C₂³	1	12	yes	—
230	C₃×C₄×Q₈	C₂³	1	2	yes	complemented
231	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
232	C₃×C₄×Q₈	C₂³	1	2	yes	complemented
233	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
234	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
235	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
236	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
237	C₃×C₄×Q₈	C₂³	1	2	yes	complemented
238	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
239	C₃×C₄×Q₈	C₂³	1	12	yes	complemented
240	C₃×C₄×D₄	C₂³	1	12	yes	—
241	C₃×C₄×D₄	C₂³	1	12	yes	—
242	C₃×C₄×D₄	C₂³	1	6	yes	—
243	C₃×C₄×D₄	C₂³	1	6	yes	—
244	C₃×C₄×D₄	C₂³	1	6	yes	—
245	C₃×C₄×D₄	C₂³	1	6	yes	—
246	C₃×C₄×D₄	C₂³	1	12	yes	—
247	C₃×C₄×D₄	C₂³	1	12	yes	—
248	C₃×C₄×D₄	C₂³	1	12	yes	—
249	C₃×C₄×D₄	C₂³	1	12	yes	—
250	C₃×C₄×D₄	C₂³	1	12	yes	—
251	C₃×C₄×D₄	C₂³	1	12	yes	—
252	C₃×C₄×D₄	C₂³	1	6	yes	complemented
253	C₃×C₄×D₄	C₂³	1	6	yes	complemented
254	C₃×C₄×D₄	C₂³	1	6	yes	complemented
255	C₃×#117	C₂³	1	12	yes	—
256	C₃×#117	C₂³	1	12	yes	—
257	C₃×#117	C₂³	1	6	yes	—
258	C₃×#117	C₂³	1	6	yes	—
259	C₃×#117	C₂³	1	6	yes	—
260	C₃×#117	C₂³	1	6	yes	—
261	C₃×#117	C₂³	1	12	yes	—
262	C₃×#117	C₂³	1	6	yes	—
263	C₃×#117	C₂³	1	6	yes	—
264	C₃×#117	C₂³	1	12	yes	complemented
265	C₃×#117	C₂³	1	6	yes	complemented
266	C₃×#117	C₂³	1	12	yes	complemented
267	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
268	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
269	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
270	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
271	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
272	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
273	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
274	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
275	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
276	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
277	C₂×C₃×C₄⋊C₄	C₂³	1	12	yes	complemented
278	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	complemented
279	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
280	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
281	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
282	C₂×C₃×C₂²⋊C₄	C₂³	1	12	yes	—
283	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
284	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
285	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
286	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
287	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
288	C₂×C₃×C₂²⋊C₄	C₂³	1	12	yes	—
289	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
290	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
291	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
292	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
293	C₂×C₃×C₂²⋊C₄	C₂³	1	12	yes	—
294	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
295	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
296	C₂×C₃×C₄²	C₂³	1	3	yes	—
297	C₂×C₃×C₄²	C₂³	1	3	yes	—
298	C₂×C₃×C₄²	C₂³	1	3	yes	—
299	#563	C₂²×C₃	1	12	yes	complemented
300	#563	C₂²×C₃	1	12	yes	complemented
301	#563	C₂²×C₃	1	12	yes	complemented
302	#562	C₂²×C₃	1	12	yes	complemented
303	#556	C₂²×C₃	1	12	yes	complemented
304	#556	C₂²×C₃	1	6	yes	complemented
305	#554	C₂²×C₃	1	12	yes	complemented
306	#554	C₂²×C₃	1	12	yes	complemented
307	#554	C₂²×C₃	1	12	yes	complemented
308	#552	C₂²×C₃	1	12	yes	complemented
309	#552	C₂²×C₃	1	12	yes	complemented
310	#552	C₂²×C₃	1	6	yes	complemented
311	#552	C₂²×C₃	1	12	yes	complemented
312	#552	C₂²×C₃	1	12	yes	complemented
313	#552	C₂²×C₃	1	6	yes	complemented
314	#551	C₂²×C₃	1	12	yes	complemented
315	#551	C₂²×C₃	1	12	yes	complemented
316	#551	C₂²×C₃	1	12	yes	complemented
317	#551	C₂²×C₃	1	12	yes	complemented
318	#551	C₂²×C₃	1	12	yes	complemented
319	#551	C₂²×C₃	1	12	yes	complemented
320	#551	C₂²×C₃	1	12	yes	complemented
321	#551	C₂²×C₃	1	12	yes	complemented
322	D₄×Q₈	C₂²×C₃	1	12	yes	complemented
323	D₄×Q₈	C₂²×C₃	1	6	yes	complemented
324	#548	C₂²×C₃	1	2	yes	complemented
325	#548	C₂²×C₃	1	6	yes	complemented
326	#547	C₂²×C₃	1	6	yes	complemented
327	#547	C₂²×C₃	1	6	yes	complemented
328	#546	C₂²×C₃	1	12	yes	complemented
329	#546	C₂²×C₃	1	12	yes	complemented
330	#544	C₂²×C₃	1	6	yes	complemented
331	#544	C₂²×C₃	1	6	yes	complemented
332	#544	C₂²×C₃	1	6	yes	complemented
333	#544	C₂²×C₃	1	6	yes	complemented
334	#543	C₂²×C₃	1	1	yes	characteristic
335	#543	C₂²×C₃	1	3	yes	—
336	#543	C₂²×C₃	1	3	yes	—
337	#543	C₂²×C₃	1	6	yes	complemented
338	#543	C₂²×C₃	1	6	yes	complemented
339	#543	C₂²×C₃	1	6	yes	complemented
340	#542	C₂²×C₃	1	6	yes	complemented
341	#542	C₂²×C₃	1	6	yes	complemented
342	#542	C₂²×C₃	1	12	yes	complemented
343	#542	C₂²×C₃	1	12	yes	complemented
344	#541	C₂²×C₃	1	6	yes	complemented
345	#541	C₂²×C₃	1	6	yes	complemented
346	#541	C₂²×C₃	1	12	yes	complemented
347	#539	C₂²×C₃	1	6	yes	complemented
348	#539	C₂²×C₃	1	6	yes	complemented
349	#539	C₂²×C₃	1	6	yes	complemented
350	#539	C₂²×C₃	1	12	yes	complemented
351	#539	C₂²×C₃	1	12	yes	complemented
352	#539	C₂²×C₃	1	12	yes	complemented
353	#538	C₂²×C₃	1	6	yes	—
354	#538	C₂²×C₃	1	6	yes	—
355	#538	C₂²×C₃	1	6	yes	complemented
356	#536	C₂²×C₃	1	6	yes	complemented
357	#536	C₂²×C₃	1	12	yes	complemented
358	#534	C₂²×C₃	1	3	yes	—
359	#533	C₂²×C₃	1	6	yes	complemented
360	#533	C₂²×C₃	1	6	yes	complemented
361	#533	C₂²×C₃	1	6	yes	complemented
362	#529	C₂²×C₃	1	6	yes	complemented
363	#529	C₂²×C₃	1	6	yes	complemented
364	#529	C₂²×C₃	1	6	yes	complemented
365	C₂×#126	C₂²×C₃	1	3	yes	complemented
366	C₂×#126	C₂²×C₃	1	3	yes	complemented
367	C₂×#124	C₂²×C₃	1	3	yes	complemented
368	#525	C₂²×C₃	1	6	yes	—
369	#525	C₂²×C₃	1	6	yes	—
370	#525	C₂²×C₃	1	6	yes	complemented
371	C₂×#123	C₂²×C₃	1	3	yes	—
372	C₂×#123	C₂²×C₃	1	3	yes	complemented
373	C₂×#123	C₂²×C₃	1	3	yes	complemented
374	C₂×C₂²⋊Q₈	C₂²×C₃	1	3	yes	—
375	C₂×C₂²⋊Q₈	C₂²×C₃	1	6	yes	complemented
376	C₂×C₂²⋊Q₈	C₂²×C₃	1	6	yes	complemented
377	C₂×C₂²⋊Q₈	C₂²×C₃	1	3	yes	complemented
378	C₂×C₂²⋊Q₈	C₂²×C₃	1	6	yes	complemented
379	C₂×#120	C₂²×C₃	1	3	yes	—
380	#520	C₂²×C₃	1	6	yes	complemented
381	#519	C₂²×C₃	1	2	yes	complemented
382	#518	C₂²×C₃	1	6	yes	—
383	C₂×C₄×D₄	C₂²×C₃	1	3	yes	—
384	C₂×C₄×D₄	C₂²×C₃	1	3	yes	complemented
385	C₂×#117	C₂²×C₃	1	3	yes	—
386	C₂×#117	C₂²×C₃	1	3	yes	complemented
387	C₂²×C₂²⋊C₄	C₂²×C₃	1	3	yes	—
388	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
389	C₂⁴×C₃	—	2	4	no	—
390	C₂⁴×C₃	—	4	2	no	—
391	C₂⁴×C₃	—	8	1	no	—
392	C₂⁴×C₃	C₂⁴	1	3	yes	—
393	C₂⁴×C₃	C₂⁴	1	3	yes	—
394	C₂⁴×C₃	C₂⁴	1	3	yes	—
395	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
396	C₃×#41	—	4	12	no	—
397	C₃×#41	—	8	6	no	—
398	C₃×#41	—	8	2	no	—
399	C₂×C₃×Q₈	—	4	4	no	—
400	C₂×C₃×Q₈	—	8	2	no	—
401	C₂×C₃×Q₈	—	8	3	no	—
402	C₂×C₃×Q₈	—	8	6	no	—
403	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
404	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
405	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
406	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
407	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
408	C₂×C₃×Q₈	C₂⁴	1	12	yes	—
409	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
410	C₂×C₃×D₄	—	2	12	no	—
411	C₂×C₃×D₄	—	4	6	no	—
412	C₂×C₃×D₄	—	8	3	no	—
413	C₂×C₃×D₄	C₂⁴	1	12	yes	—
414	C₂×C₃×D₄	C₂⁴	1	6	yes	—
415	C₂×C₃×D₄	C₂⁴	1	6	yes	—
416	C₂×C₃×D₄	C₂⁴	1	12	yes	—
417	C₂×C₃×D₄	C₂⁴	1	6	yes	—
418	C₂×C₃×D₄	C₂⁴	1	6	yes	—
419	C₂²×C₃×C₄	—	2	4	no	—
420	C₂²×C₃×C₄	—	4	6	no	—
421	C₂²×C₃×C₄	—	8	1	no	—
422	C₂²×C₃×C₄	—	8	3	no	—
423	C₂²×C₃×C₄	—	8	3	no	—
424	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
425	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
426	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
427	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
428	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
429	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
430	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
431	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
432	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
433	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
434	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
435	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
436	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
437	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
438	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
439	C₂²×C₃×C₄	C₂⁴	1	12	yes	—
440	C₂²×C₃×C₄	C₂⁴	1	12	yes	—
441	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
442	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
443	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
444	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
445	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
446	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
447	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
448	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
449	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
450	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
451	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
452	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
453	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
454	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
455	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
456	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
457	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
458	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
459	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
460	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
461	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
462	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
463	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
464	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
465	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
466	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
467	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
468	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
469	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
470	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
471	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
472	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
473	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
474	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
475	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
476	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
477	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
478	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
479	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
480	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
481	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
482	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
483	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
484	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
485	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
486	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
487	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
488	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
489	C₃×C₄²	C₂⁴	1	6	yes	—
490	C₃×C₄²	C₂⁴	1	6	yes	—
491	C₃×C₄²	C₂⁴	1	6	yes	—
492	C₃×C₄²	C₂⁴	1	6	yes	—
493	C₃×C₄²	C₂⁴	1	6	yes	—
494	C₃×C₄²	C₂⁴	1	6	yes	—
495	C₃×C₄²	C₂⁴	1	12	yes	—
496	C₃×C₄²	C₂⁴	1	12	yes	—
497	C₂⁵	C₂³×C₃	1	1	yes	characteristic
498	C₂×#41	C₂³×C₃	1	6	yes	—
499	C₂×#41	C₂³×C₃	1	6	yes	—
500	C₂×#41	C₂³×C₃	1	2	yes	complemented
501	C₂²×Q₈	C₂³×C₃	1	2	yes	—
502	C₂²×Q₈	C₂³×C₃	1	3	yes	—
503	C₂²×Q₈	C₂³×C₃	1	2	yes	—
504	C₂²×Q₈	C₂³×C₃	1	6	yes	complemented
505	C₂²×D₄	C₂³×C₃	1	3	yes	—
506	C₂²×D₄	C₂³×C₃	1	3	yes	—
507	C₂²×D₄	C₂³×C₃	1	3	yes	—
508	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
509	C₂³×C₄	C₂³×C₃	1	3	yes	—
510	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
511	C₂³×C₄	C₂³×C₃	1	3	yes	—
512	C₂³×C₄	C₂³×C₃	1	3	yes	—
513	C₄⋊Q₈	C₂³×C₃	1	6	yes	complemented
514	C₄⋊Q₈	C₂³×C₃	1	6	yes	complemented
515	C₄⋊Q₈	C₂³×C₃	1	6	yes	complemented
516	C₄⋊Q₈	C₂³×C₃	1	6	yes	complemented
517	C₄⋊Q₈	C₂³×C₃	1	6	yes	complemented
518	C₄⋊Q₈	C₂³×C₃	1	6	yes	complemented
519	C₄⋊Q₈	C₂³×C₃	1	12	yes	complemented
520	C₄⋊Q₈	C₂³×C₃	1	12	yes	complemented
521	#126	C₂³×C₃	1	12	yes	—
522	#126	C₂³×C₃	1	12	yes	—
523	#126	C₂³×C₃	1	12	yes	—
524	#126	C₂³×C₃	1	12	yes	—
525	#126	C₂³×C₃	1	12	yes	—
526	#126	C₂³×C₃	1	12	yes	—
527	#126	C₂³×C₃	1	12	yes	complemented
528	#126	C₂³×C₃	1	12	yes	complemented
529	#126	C₂³×C₃	1	12	yes	complemented
530	#126	C₂³×C₃	1	12	yes	complemented
531	#126	C₂³×C₃	1	12	yes	complemented
532	#125	C₂³×C₃	1	6	yes	complemented
533	#125	C₂³×C₃	1	6	yes	complemented
534	#125	C₂³×C₃	1	6	yes	complemented
535	#125	C₂³×C₃	1	12	yes	complemented
536	#125	C₂³×C₃	1	12	yes	complemented
537	#125	C₂³×C₃	1	12	yes	complemented
538	#125	C₂³×C₃	1	12	yes	complemented
539	#125	C₂³×C₃	1	12	yes	complemented
540	#125	C₂³×C₃	1	12	yes	complemented
541	#125	C₂³×C₃	1	12	yes	complemented
542	#124	C₂³×C₃	1	12	yes	—
543	#124	C₂³×C₃	1	12	yes	—
544	#124	C₂³×C₃	1	12	yes	—
545	#124	C₂³×C₃	1	12	yes	—
546	#124	C₂³×C₃	1	6	yes	complemented
547	#124	C₂³×C₃	1	6	yes	complemented
548	#124	C₂³×C₃	1	6	yes	complemented
549	#123	C₂³×C₃	1	12	yes	—
550	#123	C₂³×C₃	1	12	yes	—
551	#123	C₂³×C₃	1	12	yes	—
552	#123	C₂³×C₃	1	12	yes	—
553	#123	C₂³×C₃	1	12	yes	—
554	#123	C₂³×C₃	1	12	yes	—
555	#123	C₂³×C₃	1	12	yes	—
556	#123	C₂³×C₃	1	12	yes	—
557	#123	C₂³×C₃	1	12	yes	—
558	#123	C₂³×C₃	1	12	yes	—
559	#123	C₂³×C₃	1	12	yes	—
560	#123	C₂³×C₃	1	12	yes	complemented
561	#123	C₂³×C₃	1	12	yes	complemented
562	#123	C₂³×C₃	1	12	yes	complemented
563	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
564	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
565	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
566	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
567	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
568	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
569	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
570	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
571	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
572	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
573	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
574	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
575	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
576	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
577	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
578	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
579	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
580	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
581	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
582	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
583	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
584	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
585	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
586	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
587	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
588	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
589	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
590	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
591	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
592	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
593	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
594	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
595	#121	C₂³×C₃	1	6	yes	—
596	#121	C₂³×C₃	1	6	yes	—
597	#121	C₂³×C₃	1	6	yes	—
598	#121	C₂³×C₃	1	6	yes	—
599	#121	C₂³×C₃	1	12	yes	—
600	#121	C₂³×C₃	1	12	yes	—
601	#121	C₂³×C₃	1	6	yes	complemented
602	#120	C₂³×C₃	1	12	yes	—
603	#120	C₂³×C₃	1	12	yes	—
604	#120	C₂³×C₃	1	12	yes	—
605	C₄×Q₈	C₂³×C₃	1	2	yes	complemented
606	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
607	C₄×Q₈	C₂³×C₃	1	2	yes	complemented
608	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
609	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
610	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
611	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
612	C₄×Q₈	C₂³×C₃	1	2	yes	complemented
613	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
614	C₄×Q₈	C₂³×C₃	1	12	yes	complemented
615	C₄×D₄	C₂³×C₃	1	12	yes	—
616	C₄×D₄	C₂³×C₃	1	12	yes	—
617	C₄×D₄	C₂³×C₃	1	6	yes	—
618	C₄×D₄	C₂³×C₃	1	6	yes	—
619	C₄×D₄	C₂³×C₃	1	6	yes	—
620	C₄×D₄	C₂³×C₃	1	6	yes	—
621	C₄×D₄	C₂³×C₃	1	12	yes	—
622	C₄×D₄	C₂³×C₃	1	12	yes	—
623	C₄×D₄	C₂³×C₃	1	12	yes	—
624	C₄×D₄	C₂³×C₃	1	12	yes	—
625	C₄×D₄	C₂³×C₃	1	12	yes	—
626	C₄×D₄	C₂³×C₃	1	12	yes	—
627	C₄×D₄	C₂³×C₃	1	6	yes	complemented
628	C₄×D₄	C₂³×C₃	1	6	yes	complemented
629	C₄×D₄	C₂³×C₃	1	6	yes	complemented
630	#117	C₂³×C₃	1	12	yes	—
631	#117	C₂³×C₃	1	12	yes	—
632	#117	C₂³×C₃	1	6	yes	—
633	#117	C₂³×C₃	1	6	yes	—
634	#117	C₂³×C₃	1	6	yes	—
635	#117	C₂³×C₃	1	6	yes	—
636	#117	C₂³×C₃	1	12	yes	—
637	#117	C₂³×C₃	1	6	yes	—
638	#117	C₂³×C₃	1	6	yes	—
639	#117	C₂³×C₃	1	12	yes	complemented
640	#117	C₂³×C₃	1	6	yes	complemented
641	#117	C₂³×C₃	1	12	yes	complemented
642	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
643	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
644	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
645	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
646	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
647	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
648	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
649	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
650	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
651	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
652	C₂×C₄⋊C₄	C₂³×C₃	1	12	yes	complemented
653	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	complemented
654	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
655	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
656	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
657	C₂×C₂²⋊C₄	C₂³×C₃	1	12	yes	—
658	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
659	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
660	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
661	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
662	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
663	C₂×C₂²⋊C₄	C₂³×C₃	1	12	yes	—
664	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
665	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
666	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
667	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
668	C₂×C₂²⋊C₄	C₂³×C₃	1	12	yes	—
669	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
670	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
671	C₂×C₄²	C₂³×C₃	1	3	yes	—
672	C₂×C₄²	C₂³×C₃	1	3	yes	—
673	C₂×C₄²	C₂³×C₃	1	3	yes	—
674	C₂³×C₃	—	2	6	no	—
675	C₂³×C₃	—	2	6	no	—
676	C₂³×C₃	—	2	6	no	—
677	C₂³×C₃	—	2	6	no	—
678	C₂³×C₃	—	4	3	no	—
679	C₂³×C₃	—	4	1	no	—
680	C₂³×C₃	—	4	1	no	—
681	C₂³×C₃	—	4	3	no	—
682	C₂³×C₃	—	4	3	no	—
683	C₂³×C₃	—	4	3	no	—
684	C₂³×C₃	—	4	3	no	—
685	C₂³×C₃	—	8	8	no	—
686	C₂³×C₃	2₋¹⁺⁴	1	4	yes	—
687	C₂³×C₃	C₂⁵	1	3	yes	—
688	C₂³×C₃	C₂⁵	1	6	yes	—
689	C₂³×C₃	C₂⁵	1	3	yes	—
690	C₂³×C₃	C₂⁵	1	1	yes	characteristic
691	C₃×Q₈	—	4	6	no	—
692	C₃×Q₈	—	4	2	no	—
693	C₃×Q₈	—	4	6	no	—
694	C₃×Q₈	—	4	12	no	—
695	C₃×Q₈	—	4	2	no	—
696	C₃×Q₈	—	4	6	no	—
697	C₃×Q₈	—	4	6	no	—
698	C₃×D₄	—	2	24	no	—
699	C₃×D₄	—	2	12	no	—
700	C₃×D₄	—	4	6	no	—
701	C₃×D₄	—	4	12	no	—
702	C₃×D₄	—	4	6	no	—
703	C₃×D₄	—	4	6	no	—
704	C₂×C₃×C₄	—	2	6	no	—
705	C₂×C₃×C₄	—	2	6	no	—
706	C₂×C₃×C₄	—	2	6	no	—
707	C₂×C₃×C₄	—	2	12	no	—
708	C₂×C₃×C₄	—	4	3	no	—
709	C₂×C₃×C₄	—	4	6	no	—
710	C₂×C₃×C₄	—	4	3	no	—
711	C₂×C₃×C₄	—	4	3	no	—
712	C₂×C₃×C₄	—	4	3	no	—
713	C₂×C₃×C₄	—	4	6	no	—
714	C₂×C₃×C₄	—	4	6	no	—
715	C₂×C₃×C₄	—	4	3	no	—
716	C₂×C₃×C₄	—	4	3	no	—
717	C₂×C₃×C₄	—	4	6	no	—
718	C₂×C₃×C₄	—	4	6	no	—
719	C₂×C₃×C₄	—	4	3	no	—
720	C₂×C₃×C₄	—	4	3	no	—
721	C₂×C₃×C₄	—	4	12	no	—
722	C₂×C₃×C₄	—	4	12	no	—
723	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
724	C₂×C₃×C₄	C₂⁵	1	6	yes	—
725	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
726	C₂×C₃×C₄	C₂⁵	1	3	yes	—
727	C₂×C₃×C₄	C₂⁵	1	6	yes	—
728	C₂×C₃×C₄	C₂⁵	1	6	yes	—
729	C₂×C₃×C₄	C₂⁵	1	6	yes	—
730	C₂×C₃×C₄	C₂⁵	1	6	yes	—
731	C₂×C₃×C₄	C₂⁵	1	3	yes	—
732	C₂×C₃×C₄	C₂⁵	1	6	yes	—
733	C₂×C₃×C₄	C₂⁵	1	6	yes	—
734	C₂⁴	—	2	4	no	—
735	C₂⁴	—	4	2	no	—
736	C₂⁴	—	8	1	no	—
737	C₂⁴	C₂⁴×C₃	1	3	yes	—
738	C₂⁴	C₂⁴×C₃	1	3	yes	—
739	C₂⁴	C₂⁴×C₃	1	3	yes	—
740	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
741	#41	—	4	12	no	—
742	#41	—	8	6	no	—
743	#41	—	8	2	no	—
744	C₂×Q₈	—	4	4	no	—
745	C₂×Q₈	—	8	2	no	—
746	C₂×Q₈	—	8	3	no	—
747	C₂×Q₈	—	8	6	no	—
748	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
749	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
750	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
751	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
752	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
753	C₂×Q₈	C₂⁴×C₃	1	12	yes	—
754	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
755	C₂×D₄	—	2	12	no	—
756	C₂×D₄	—	4	6	no	—
757	C₂×D₄	—	8	3	no	—
758	C₂×D₄	C₂⁴×C₃	1	12	yes	—
759	C₂×D₄	C₂⁴×C₃	1	6	yes	—
760	C₂×D₄	C₂⁴×C₃	1	6	yes	—
761	C₂×D₄	C₂⁴×C₃	1	12	yes	—
762	C₂×D₄	C₂⁴×C₃	1	6	yes	—
763	C₂×D₄	C₂⁴×C₃	1	6	yes	—
764	C₂²×C₄	—	2	4	no	—
765	C₂²×C₄	—	4	6	no	—
766	C₂²×C₄	—	8	1	no	—
767	C₂²×C₄	—	8	3	no	—
768	C₂²×C₄	—	8	3	no	—
769	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
770	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
771	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
772	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
773	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
774	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
775	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
776	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
777	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
778	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
779	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
780	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
781	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
782	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
783	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
784	C₂²×C₄	C₂⁴×C₃	1	12	yes	—
785	C₂²×C₄	C₂⁴×C₃	1	12	yes	—
786	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
787	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
788	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
789	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
790	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
791	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
792	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
793	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
794	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
795	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
796	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
797	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
798	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
799	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
800	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
801	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
802	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
803	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
804	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
805	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
806	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
807	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
808	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
809	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
810	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
811	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
812	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
813	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
814	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
815	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
816	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
817	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
818	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
819	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
820	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
821	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
822	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
823	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
824	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
825	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
826	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
827	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
828	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
829	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
830	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
831	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
832	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
833	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
834	C₄²	C₂⁴×C₃	1	6	yes	—
835	C₄²	C₂⁴×C₃	1	6	yes	—
836	C₄²	C₂⁴×C₃	1	6	yes	—
837	C₄²	C₂⁴×C₃	1	6	yes	—
838	C₄²	C₂⁴×C₃	1	6	yes	—
839	C₄²	C₂⁴×C₃	1	6	yes	—
840	C₄²	C₂⁴×C₃	1	12	yes	—
841	C₄²	C₂⁴×C₃	1	12	yes	—
842	C₂²×C₃	—	2	1	no	—
843	C₂²×C₃	—	2	3	no	—
844	C₂²×C₃	—	2	1	no	—
845	C₂²×C₃	—	2	3	no	—
846	C₂²×C₃	—	2	6	no	—
847	C₂²×C₃	—	2	3	no	—
848	C₂²×C₃	—	2	6	no	—
849	C₂²×C₃	—	2	3	no	—
850	C₂²×C₃	—	2	6	no	—
851	C₂²×C₃	—	2	3	no	—
852	C₂²×C₃	—	4	4	no	—
853	C₂²×C₃	—	4	12	no	—
854	C₂²×C₃	—	8	6	no	—
855	C₂²×C₃	—	8	6	no	—
856	C₂²×C₃	C₂×2₋¹⁺⁴	1	6	yes	—
857	C₂²×C₃	#585	1	2	yes	—
858	C₂²×C₃	C₂⁶	1	1	yes	characteristic
859	C₃×C₄	—	2	1	no	—
860	C₃×C₄	—	2	3	no	—
861	C₃×C₄	—	2	6	no	—
862	C₃×C₄	—	2	6	no	—
863	C₃×C₄	—	2	6	no	—
864	C₃×C₄	—	2	6	no	—
865	C₃×C₄	—	2	1	no	—
866	C₃×C₄	—	2	6	no	—
867	C₃×C₄	—	2	3	no	—
868	C₃×C₄	—	2	6	no	—
869	C₃×C₄	—	2	6	no	—
870	C₂³	—	2	6	no	—
871	C₂³	—	2	6	no	—
872	C₂³	—	2	6	no	—
873	C₂³	—	2	6	no	—
874	C₂³	—	4	3	no	—
875	C₂³	—	4	1	no	—
876	C₂³	—	4	1	no	—
877	C₂³	—	4	3	no	—
878	C₂³	—	4	3	no	—
879	C₂³	—	4	3	no	—
880	C₂³	—	4	3	no	—
881	C₂³	—	8	8	no	—
882	C₂³	C₃×2₋¹⁺⁴	1	4	yes	—
883	C₂³	C₂⁵×C₃	1	3	yes	—
884	C₂³	C₂⁵×C₃	1	6	yes	—
885	C₂³	C₂⁵×C₃	1	3	yes	—
886	C₂³	C₂⁵×C₃	1	1	yes	characteristic
887	Q₈	—	4	6	no	—
888	Q₈	—	4	2	no	—
889	Q₈	—	4	6	no	—
890	Q₈	—	4	12	no	—
891	Q₈	—	4	2	no	—
892	Q₈	—	4	6	no	—
893	Q₈	—	4	6	no	—
894	D₄	—	2	24	no	—
895	D₄	—	2	12	no	—
896	D₄	—	4	6	no	—
897	D₄	—	4	12	no	—
898	D₄	—	4	6	no	—
899	D₄	—	4	6	no	—
900	C₂×C₄	—	2	6	no	—
901	C₂×C₄	—	2	6	no	—
902	C₂×C₄	—	2	6	no	—
903	C₂×C₄	—	2	12	no	—
904	C₂×C₄	—	4	3	no	—
905	C₂×C₄	—	4	6	no	—
906	C₂×C₄	—	4	3	no	—
907	C₂×C₄	—	4	3	no	—
908	C₂×C₄	—	4	3	no	—
909	C₂×C₄	—	4	6	no	—
910	C₂×C₄	—	4	6	no	—
911	C₂×C₄	—	4	3	no	—
912	C₂×C₄	—	4	3	no	—
913	C₂×C₄	—	4	6	no	—
914	C₂×C₄	—	4	6	no	—
915	C₂×C₄	—	4	3	no	—
916	C₂×C₄	—	4	3	no	—
917	C₂×C₄	—	4	12	no	—
918	C₂×C₄	—	4	12	no	—
919	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
920	C₂×C₄	C₂⁵×C₃	1	6	yes	—
921	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
922	C₂×C₄	C₂⁵×C₃	1	3	yes	—
923	C₂×C₄	C₂⁵×C₃	1	6	yes	—
924	C₂×C₄	C₂⁵×C₃	1	6	yes	—
925	C₂×C₄	C₂⁵×C₃	1	6	yes	—
926	C₂×C₄	C₂⁵×C₃	1	6	yes	—
927	C₂×C₄	C₂⁵×C₃	1	3	yes	—
928	C₂×C₄	C₂⁵×C₃	1	6	yes	—
929	C₂×C₄	C₂⁵×C₃	1	6	yes	—
930	C₂×C₃	—	2	2	no	—
931	C₂×C₃	—	2	6	no	—
932	C₂×C₃	—	4	3	no	—
933	C₂×C₃	—	4	6	no	—
934	C₂×C₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
935	C₂×C₃	C₂×#585	1	1	yes	characteristic
936	C₂×C₃	H(7,𝔽₂)	1	1	yes	characteristic
937	C₂²	—	2	1	no	—
938	C₂²	—	2	3	no	—
939	C₂²	—	2	1	no	—
940	C₂²	—	2	3	no	—
941	C₂²	—	2	6	no	—
942	C₂²	—	2	3	no	—
943	C₂²	—	2	6	no	—
944	C₂²	—	2	3	no	—
945	C₂²	—	2	6	no	—
946	C₂²	—	2	3	no	—
947	C₂²	—	4	4	no	—
948	C₂²	—	4	12	no	—
949	C₂²	—	8	6	no	—
950	C₂²	—	8	6	no	—
951	C₂²	C₂×C₃×2₋¹⁺⁴	1	6	yes	—
952	C₂²	C₃×#585	1	2	yes	—
953	C₂²	C₂⁶×C₃	1	1	yes	characteristic
954	C₄	—	2	1	no	—
955	C₄	—	2	3	no	—
956	C₄	—	2	6	no	—
957	C₄	—	2	6	no	—
958	C₄	—	2	6	no	—
959	C₄	—	2	6	no	—
960	C₄	—	2	1	no	—
961	C₄	—	2	6	no	—
962	C₄	—	2	3	no	—
963	C₄	—	2	6	no	—
964	C₄	—	2	6	no	—
965	C₃	#62903	1	1	yes	characteristic, direct product factor, Sylow
966	C₂	—	2	2	no	—
967	C₂	—	2	6	no	—
968	C₂	—	4	3	no	—
969	C₂	—	4	6	no	—
970	C₂	C₂²×C₃×2₋¹⁺⁴	1	1	yes	characteristic
971	C₂	C₂×C₃×#585	1	1	yes	characteristic
972	C₂	C₃×H(7,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#3564	C₂	semidirect
2. C₃×#3564	C₂	semidirect
3. C₃×#3561	C₂	semidirect
4. C₃×#3538	C₂	semidirect
5. C₃×#3535	C₂	semidirect
6. C₃×#3535	C₂	semidirect
7. C₃×#3520	C₂	semidirect
8. C₃×#3501	C₂	semidirect
9. C₃×#3495	C₂	semidirect
10. C₃×#3491	C₂	semidirect
11. C₃×#3490	C₂	semidirect
12. C₂×C₃×#551	C₂	semidirect
13. C₃×#3459	C₂	semidirect
14. C₃×#3458	C₂	semidirect
15. C₂×C₃×#543	C₂	semidirect
16. #62903	C₃	direct (N × H)
17. C₃×#563	C₂²	semidirect
18. C₃×#563	C₂²	semidirect
19. C₃×#563	C₂²	semidirect
20. C₃×#562	C₂²	semidirect
21. C₃×#556	C₂²	semidirect
22. C₃×#556	C₂²	semidirect
23. C₃×#554	C₂²	semidirect
24. C₃×#554	C₂²	semidirect
25. C₃×#554	C₂²	semidirect
26. C₃×#552	C₂²	semidirect
27. C₃×#552	C₂²	semidirect
28. C₃×#552	C₂²	semidirect
29. C₃×#552	C₂²	semidirect
30. C₃×#552	C₂²	semidirect
31. C₃×#552	C₂²	semidirect
32. C₃×#551	C₂²	semidirect
33. C₃×#551	C₂²	semidirect
34. C₃×#551	C₂²	semidirect
35. C₃×#551	C₂²	semidirect
36. C₃×#551	C₂²	semidirect
37. C₃×#551	C₂²	semidirect
38. C₃×#551	C₂²	semidirect
39. C₃×#551	C₂²	semidirect
40. C₃×D₄×Q₈	C₂²	semidirect
41. C₃×D₄×Q₈	C₂²	semidirect
42. C₃×#548	C₂²	semidirect
43. C₃×#548	C₂²	semidirect
44. C₃×#547	C₂²	semidirect
45. C₃×#547	C₂²	semidirect
46. C₃×#546	C₂²	semidirect
47. C₃×#546	C₂²	semidirect
48. C₃×#544	C₂²	semidirect
49. C₃×#544	C₂²	semidirect
50. C₃×#544	C₂²	semidirect
51. C₃×#544	C₂²	semidirect
55. C₃×#543	C₂²	semidirect
56. C₃×#543	C₂²	semidirect
57. C₃×#543	C₂²	semidirect
58. C₃×#542	C₂²	semidirect
59. C₃×#542	C₂²	semidirect
60. C₃×#542	C₂²	semidirect
61. C₃×#542	C₂²	semidirect
62. C₃×#541	C₂²	semidirect
63. C₃×#541	C₂²	semidirect
64. C₃×#541	C₂²	semidirect
65. C₃×#539	C₂²	semidirect
66. C₃×#539	C₂²	semidirect
67. C₃×#539	C₂²	semidirect
68. C₃×#539	C₂²	semidirect
69. C₃×#539	C₂²	semidirect
70. C₃×#539	C₂²	semidirect
73. C₃×#538	C₂²	semidirect
74. C₃×#536	C₂²	semidirect
75. C₃×#536	C₂²	semidirect
77. C₃×#533	C₂²	semidirect
78. C₃×#533	C₂²	semidirect
79. C₃×#533	C₂²	semidirect
80. C₃×#529	C₂²	semidirect
81. C₃×#529	C₂²	semidirect
82. C₃×#529	C₂²	semidirect
83. C₂×C₃×#126	C₂²	semidirect
84. C₂×C₃×#126	C₂²	semidirect
85. C₂×C₃×#124	C₂²	semidirect
88. C₃×#525	C₂²	semidirect
90. C₂×C₃×#123	C₂²	semidirect
91. C₂×C₃×#123	C₂²	semidirect
93. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
94. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
95. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
96. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
98. C₃×#520	C₂²	semidirect
99. C₃×#519	C₂²	semidirect
102. C₂×C₃×C₄×D₄	C₂²	semidirect
104. C₂×C₃×#117	C₂²	semidirect
107. #3564	C₂×C₃	semidirect
108. #3564	C₂×C₃	semidirect
109. #3561	C₂×C₃	semidirect
110. #3538	C₂×C₃	semidirect
111. #3535	C₂×C₃	semidirect
112. #3535	C₂×C₃	semidirect
113. #3520	C₂×C₃	semidirect
114. #3501	C₂×C₃	semidirect
115. #3495	C₂×C₃	semidirect
116. #3491	C₂×C₃	semidirect
117. #3490	C₂×C₃	semidirect
118. C₂×#551	C₂×C₃	semidirect
119. #3459	C₂×C₃	semidirect
120. #3458	C₂×C₃	semidirect
121. C₂×#543	C₂×C₃	semidirect
125. C₂×C₃×#41	C₂³	semidirect
129. C₂²×C₃×Q₈	C₂³	semidirect
138. C₃×C₄⋊Q₈	C₂³	semidirect
139. C₃×C₄⋊Q₈	C₂³	semidirect
140. C₃×C₄⋊Q₈	C₂³	semidirect
141. C₃×C₄⋊Q₈	C₂³	semidirect
142. C₃×C₄⋊Q₈	C₂³	semidirect
143. C₃×C₄⋊Q₈	C₂³	semidirect
144. C₃×C₄⋊Q₈	C₂³	semidirect
145. C₃×C₄⋊Q₈	C₂³	semidirect
152. C₃×#126	C₂³	semidirect
153. C₃×#126	C₂³	semidirect
154. C₃×#126	C₂³	semidirect
155. C₃×#126	C₂³	semidirect
156. C₃×#126	C₂³	semidirect
157. C₃×#125	C₂³	semidirect
158. C₃×#125	C₂³	semidirect
159. C₃×#125	C₂³	semidirect
160. C₃×#125	C₂³	semidirect
161. C₃×#125	C₂³	semidirect
162. C₃×#125	C₂³	semidirect
163. C₃×#125	C₂³	semidirect
164. C₃×#125	C₂³	semidirect
165. C₃×#125	C₂³	semidirect
166. C₃×#125	C₂³	semidirect
171. C₃×#124	C₂³	semidirect
172. C₃×#124	C₂³	semidirect
173. C₃×#124	C₂³	semidirect
185. C₃×#123	C₂³	semidirect
186. C₃×#123	C₂³	semidirect
187. C₃×#123	C₂³	semidirect
210. C₃×C₂²⋊Q₈	C₂³	semidirect
211. C₃×C₂²⋊Q₈	C₂³	semidirect
212. C₃×C₂²⋊Q₈	C₂³	semidirect
213. C₃×C₂²⋊Q₈	C₂³	semidirect
214. C₃×C₂²⋊Q₈	C₂³	semidirect
215. C₃×C₂²⋊Q₈	C₂³	semidirect
216. C₃×C₂²⋊Q₈	C₂³	semidirect
217. C₃×C₂²⋊Q₈	C₂³	semidirect
218. C₃×C₂²⋊Q₈	C₂³	semidirect
219. C₃×C₂²⋊Q₈	C₂³	semidirect
226. C₃×#121	C₂³	semidirect
230. C₃×C₄×Q₈	C₂³	semidirect
231. C₃×C₄×Q₈	C₂³	semidirect
232. C₃×C₄×Q₈	C₂³	semidirect
233. C₃×C₄×Q₈	C₂³	semidirect
234. C₃×C₄×Q₈	C₂³	semidirect
235. C₃×C₄×Q₈	C₂³	semidirect
236. C₃×C₄×Q₈	C₂³	semidirect
237. C₃×C₄×Q₈	C₂³	semidirect
238. C₃×C₄×Q₈	C₂³	semidirect
239. C₃×C₄×Q₈	C₂³	semidirect
252. C₃×C₄×D₄	C₂³	semidirect
253. C₃×C₄×D₄	C₂³	semidirect
254. C₃×C₄×D₄	C₂³	semidirect
264. C₃×#117	C₂³	semidirect
265. C₃×#117	C₂³	semidirect
266. C₃×#117	C₂³	semidirect
277. C₂×C₃×C₄⋊C₄	C₂³	semidirect
278. C₂×C₃×C₄⋊C₄	C₂³	semidirect
299. #563	C₂²×C₃	semidirect
300. #563	C₂²×C₃	semidirect
301. #563	C₂²×C₃	semidirect
302. #562	C₂²×C₃	semidirect
303. #556	C₂²×C₃	semidirect
304. #556	C₂²×C₃	semidirect
305. #554	C₂²×C₃	semidirect
306. #554	C₂²×C₃	semidirect
307. #554	C₂²×C₃	semidirect
308. #552	C₂²×C₃	semidirect
309. #552	C₂²×C₃	semidirect
310. #552	C₂²×C₃	semidirect
311. #552	C₂²×C₃	semidirect
312. #552	C₂²×C₃	semidirect
313. #552	C₂²×C₃	semidirect
314. #551	C₂²×C₃	semidirect
315. #551	C₂²×C₃	semidirect
316. #551	C₂²×C₃	semidirect
317. #551	C₂²×C₃	semidirect
318. #551	C₂²×C₃	semidirect
319. #551	C₂²×C₃	semidirect
320. #551	C₂²×C₃	semidirect
321. #551	C₂²×C₃	semidirect
322. D₄×Q₈	C₂²×C₃	semidirect
323. D₄×Q₈	C₂²×C₃	semidirect
324. #548	C₂²×C₃	semidirect
325. #548	C₂²×C₃	semidirect
326. #547	C₂²×C₃	semidirect
327. #547	C₂²×C₃	semidirect
328. #546	C₂²×C₃	semidirect
329. #546	C₂²×C₃	semidirect
330. #544	C₂²×C₃	semidirect
331. #544	C₂²×C₃	semidirect
332. #544	C₂²×C₃	semidirect
333. #544	C₂²×C₃	semidirect
337. #543	C₂²×C₃	semidirect
338. #543	C₂²×C₃	semidirect
339. #543	C₂²×C₃	semidirect
340. #542	C₂²×C₃	semidirect
341. #542	C₂²×C₃	semidirect
342. #542	C₂²×C₃	semidirect
343. #542	C₂²×C₃	semidirect
344. #541	C₂²×C₃	semidirect
345. #541	C₂²×C₃	semidirect
346. #541	C₂²×C₃	semidirect
347. #539	C₂²×C₃	semidirect
348. #539	C₂²×C₃	semidirect
349. #539	C₂²×C₃	semidirect
350. #539	C₂²×C₃	semidirect
351. #539	C₂²×C₃	semidirect
352. #539	C₂²×C₃	semidirect
355. #538	C₂²×C₃	semidirect
356. #536	C₂²×C₃	semidirect
357. #536	C₂²×C₃	semidirect
359. #533	C₂²×C₃	semidirect
360. #533	C₂²×C₃	semidirect
361. #533	C₂²×C₃	semidirect
362. #529	C₂²×C₃	semidirect
363. #529	C₂²×C₃	semidirect
364. #529	C₂²×C₃	semidirect
365. C₂×#126	C₂²×C₃	semidirect
366. C₂×#126	C₂²×C₃	semidirect
367. C₂×#124	C₂²×C₃	semidirect
370. #525	C₂²×C₃	semidirect
372. C₂×#123	C₂²×C₃	semidirect
373. C₂×#123	C₂²×C₃	semidirect
375. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
376. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
377. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
378. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
380. #520	C₂²×C₃	semidirect
381. #519	C₂²×C₃	semidirect
384. C₂×C₄×D₄	C₂²×C₃	semidirect
386. C₂×#117	C₂²×C₃	semidirect
500. C₂×#41	C₂³×C₃	semidirect
504. C₂²×Q₈	C₂³×C₃	semidirect
513. C₄⋊Q₈	C₂³×C₃	semidirect
514. C₄⋊Q₈	C₂³×C₃	semidirect
515. C₄⋊Q₈	C₂³×C₃	semidirect
516. C₄⋊Q₈	C₂³×C₃	semidirect
517. C₄⋊Q₈	C₂³×C₃	semidirect
518. C₄⋊Q₈	C₂³×C₃	semidirect
519. C₄⋊Q₈	C₂³×C₃	semidirect
520. C₄⋊Q₈	C₂³×C₃	semidirect
527. #126	C₂³×C₃	semidirect
528. #126	C₂³×C₃	semidirect
529. #126	C₂³×C₃	semidirect
530. #126	C₂³×C₃	semidirect
531. #126	C₂³×C₃	semidirect
532. #125	C₂³×C₃	semidirect
533. #125	C₂³×C₃	semidirect
534. #125	C₂³×C₃	semidirect
535. #125	C₂³×C₃	semidirect
536. #125	C₂³×C₃	semidirect
537. #125	C₂³×C₃	semidirect
538. #125	C₂³×C₃	semidirect
539. #125	C₂³×C₃	semidirect
540. #125	C₂³×C₃	semidirect
541. #125	C₂³×C₃	semidirect
546. #124	C₂³×C₃	semidirect
547. #124	C₂³×C₃	semidirect
548. #124	C₂³×C₃	semidirect
560. #123	C₂³×C₃	semidirect
561. #123	C₂³×C₃	semidirect
562. #123	C₂³×C₃	semidirect
585. C₂²⋊Q₈	C₂³×C₃	semidirect
586. C₂²⋊Q₈	C₂³×C₃	semidirect
587. C₂²⋊Q₈	C₂³×C₃	semidirect
588. C₂²⋊Q₈	C₂³×C₃	semidirect
589. C₂²⋊Q₈	C₂³×C₃	semidirect
590. C₂²⋊Q₈	C₂³×C₃	semidirect
591. C₂²⋊Q₈	C₂³×C₃	semidirect
592. C₂²⋊Q₈	C₂³×C₃	semidirect
593. C₂²⋊Q₈	C₂³×C₃	semidirect
594. C₂²⋊Q₈	C₂³×C₃	semidirect
601. #121	C₂³×C₃	semidirect
605. C₄×Q₈	C₂³×C₃	semidirect
606. C₄×Q₈	C₂³×C₃	semidirect
607. C₄×Q₈	C₂³×C₃	semidirect
608. C₄×Q₈	C₂³×C₃	semidirect
609. C₄×Q₈	C₂³×C₃	semidirect
610. C₄×Q₈	C₂³×C₃	semidirect
611. C₄×Q₈	C₂³×C₃	semidirect
612. C₄×Q₈	C₂³×C₃	semidirect
613. C₄×Q₈	C₂³×C₃	semidirect
614. C₄×Q₈	C₂³×C₃	semidirect
627. C₄×D₄	C₂³×C₃	semidirect
628. C₄×D₄	C₂³×C₃	semidirect
629. C₄×D₄	C₂³×C₃	semidirect
639. #117	C₂³×C₃	semidirect
640. #117	C₂³×C₃	semidirect
641. #117	C₂³×C₃	semidirect
652. C₂×C₄⋊C₄	C₂³×C₃	semidirect
653. C₂×C₄⋊C₄	C₂³×C₃	semidirect
965. C₃	#62903	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×#3564	2
C₃×#3561	2
C₃×#3538	2
C₃×#3535	2
C₃×#3520	2
C₃×#3501	2
C₃×#3495	2
C₃×#3491	2
C₃×#3490	2
C₂×C₃×#551	2
C₃×#3459	2
C₃×#3458	2
C₂×C₃×#543	2
#62903	3

Subgroups — C3×#62903 #10681510

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#62903 #10681510