Subgroups — C₃×#86949 #11906166

Order 1152.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1347 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5729	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5727	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5690	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5690	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5689	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5688	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5636	C₂	1	2	yes	maximal, complemented
9	C₃×#5636	C₂	1	2	yes	maximal, complemented
10	C₃×#5634	C₂	1	2	yes	maximal, complemented
11	C₃×#5634	C₂	1	2	yes	maximal, complemented
12	C₃×#5632	C₂	1	2	yes	maximal, complemented
13	C₃×D₃×C₂²⋊Q₈	C₂	1	2	yes	maximal, complemented
14	C₃×#5579	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5578	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5545	C₂	1	1	yes	maximal, characteristic
17	C₃×#5545	C₂	1	1	yes	maximal, characteristic
18	C₃×C₄×D₃×D₄	C₂	1	1	yes	maximal, characteristic
19	C₃×#5539	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5539	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×D₄×Dic₆	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5511	C₂	1	2	yes	maximal, complemented
23	C₂×C₃×#896	C₂	1	2	yes	maximal, complemented
24	C₃×#3501	—	3	1	no	maximal
25	#86949	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂×C₃×D₃×Q₈	C₂²	1	2	yes	complemented
27	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic
28	C₂²×C₃×C₄×D₃	C₂²	1	2	yes	—
29	C₂²×C₃×Dic₆	C₂²	1	2	yes	complemented
30	C₃²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
31	C₃²×#125	C₂²	1	1	yes	characteristic, complemented
32	C₃²×#125	C₂²	1	1	yes	characteristic, complemented
33	C₃²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
34	C₃²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
35	C₃²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
36	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
38	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
39	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
40	C₂×C₃²×C₄⋊C₄	C₂²	1	2	yes	complemented
41	C₃×#946	C₂²	1	1	yes	characteristic
42	C₃×#946	C₂²	1	2	yes	—
43	C₃×#946	C₂²	1	2	yes	complemented
44	C₃×#946	C₂²	1	2	yes	complemented
45	C₃×#944	C₂²	1	1	yes	characteristic, complemented
46	C₃×#944	C₂²	1	2	yes	complemented
47	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
48	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
49	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
50	C₃×C₄×#67	C₂²	1	2	yes	—
51	C₃×C₄×#67	C₂²	1	2	yes	—
52	C₃×C₄×#67	C₂²	1	2	yes	—
53	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	—
54	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	—
55	C₃×#924	C₂²	1	2	yes	complemented
56	C₃×#924	C₂²	1	2	yes	complemented
57	C₃×#924	C₂²	1	2	yes	complemented
58	C₂×C₃×Dic₃⋊C₄	C₂²	1	2	yes	complemented
59	C₂×C₃×Dic₃⋊C₄	C₂²	1	2	yes	complemented
60	C₃×#897	C₂²	1	1	yes	characteristic
61	C₃×#897	C₂²	1	2	yes	—
62	C₃×#897	C₂²	1	2	yes	complemented
63	C₃×#897	C₂²	1	2	yes	complemented
64	C₃×#896	C₂²	1	1	yes	characteristic
65	C₃×#896	C₂²	1	2	yes	—
66	C₃×#896	C₂²	1	2	yes	—
67	C₃×#896	C₂²	1	2	yes	—
68	C₃×#896	C₂²	1	1	yes	characteristic
69	C₃×#896	C₂²	1	2	yes	—
70	C₃×#896	C₂²	1	2	yes	complemented
71	C₃×#896	C₂²	1	2	yes	complemented
72	C₃×#896	C₂²	1	2	yes	complemented
73	C₃×#896	C₂²	1	2	yes	complemented
74	C₃×#896	C₂²	1	2	yes	complemented
75	C₃×#896	C₂²	1	2	yes	complemented
76	C₃×#896	C₂²	1	2	yes	complemented
77	C₃×#896	C₂²	1	2	yes	complemented
78	C₃×#893	C₂²	1	1	yes	characteristic
79	C₃×#893	C₂²	1	1	yes	characteristic
80	C₃×#893	C₂²	1	1	yes	characteristic
81	C₃×#892	C₂²	1	1	yes	characteristic
82	C₃×#892	C₂²	1	1	yes	characteristic
83	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
84	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
85	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
86	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
87	C₃×#890	C₂²	1	1	yes	characteristic, complemented
88	C₃×#890	C₂²	1	1	yes	characteristic, complemented
89	C₃×#889	C₂²	1	1	yes	characteristic, complemented
90	C₃×#889	C₂²	1	2	yes	complemented
91	C₃×#889	C₂²	1	1	yes	characteristic, complemented
92	C₃×#889	C₂²	1	2	yes	complemented
93	C₃×#888	C₂²	1	2	yes	complemented
94	C₃×#888	C₂²	1	1	yes	characteristic, complemented
95	C₃×#888	C₂²	1	1	yes	characteristic, complemented
96	C₃×#888	C₂²	1	1	yes	characteristic, complemented
97	C₃×#888	C₂²	1	1	yes	characteristic, complemented
98	C₃×#888	C₂²	1	1	yes	characteristic, complemented
99	C₃×#887	C₂²	1	2	yes	complemented
100	C₃×#887	C₂²	1	2	yes	complemented
101	C₃×#67⋊C₄	C₂²	1	2	yes	—
102	C₃×#67⋊C₄	C₂²	1	2	yes	—
103	C₃×#67⋊C₄	C₂²	1	2	yes	—
104	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
105	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
106	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
107	C₃×#878	C₂²	1	2	yes	complemented
108	C₃×#878	C₂²	1	2	yes	complemented
109	C₃×#878	C₂²	1	2	yes	complemented
110	C₃×#878	C₂²	1	2	yes	complemented
111	C₃×#878	C₂²	1	2	yes	complemented
112	C₃×#878	C₂²	1	2	yes	complemented
113	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
114	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
115	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
116	C₃×#872	C₂²	1	1	yes	characteristic
117	C₃×#872	C₂²	1	1	yes	characteristic
118	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic
119	C₃×#870	C₂²	1	1	yes	characteristic, complemented
120	C₃×#870	C₂²	1	1	yes	characteristic, complemented
121	C₃×#869	C₂²	1	1	yes	characteristic, complemented
122	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
123	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
124	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
125	C₃×#554	—	2	1	no	—
126	C₃×#554	—	3	1	no	—
127	C₃×#554	—	3	1	no	—
128	C₃×#554	—	3	2	no	—
129	C₃×#554	—	3	2	no	—
130	C₃×#554	—	3	1	no	—
131	C₃×#554	—	3	1	no	—
132	C₃×#554	—	3	1	no	—
133	C₃×#554	—	3	2	no	—
134	C₃×#554	D₃	1	1	yes	characteristic, complemented
135	C₃×#554	C₂×C₃	1	1	yes	characteristic, complemented
136	C₃×D₄×Q₈	—	3	1	no	—
137	C₃×D₄×Q₈	—	3	2	no	—
138	C₃×D₄×Q₈	—	3	1	no	—
139	C₃×#544	—	3	1	no	—
140	C₃×#544	—	3	1	no	—
141	C₃×#543	—	3	2	no	—
142	C₃×#543	—	3	2	no	—
143	C₃×#533	—	3	1	no	—
144	C₃×#533	—	3	1	no	—
145	C₂×C₃×C₂²⋊Q₈	—	3	2	no	—
146	C₂×C₃×C₂²⋊Q₈	—	3	2	no	—
147	C₃×#518	—	3	1	no	—
148	C₃×#518	—	3	1	no	—
149	C₂×C₃×C₄×D₄	—	3	1	no	—
150	#5729	C₂×C₃	1	1	yes	characteristic, complemented
151	#5727	C₂×C₃	1	1	yes	characteristic, complemented
152	#5690	C₂×C₃	1	1	yes	characteristic, complemented
153	#5690	C₂×C₃	1	1	yes	characteristic, complemented
154	#5689	C₂×C₃	1	1	yes	characteristic, complemented
155	#5688	C₂×C₃	1	1	yes	characteristic, complemented
156	#5636	C₂×C₃	1	2	yes	complemented
157	#5636	C₂×C₃	1	2	yes	complemented
158	#5634	C₂×C₃	1	2	yes	complemented
159	#5634	C₂×C₃	1	2	yes	complemented
160	#5632	C₂×C₃	1	2	yes	complemented
161	D₃×C₂²⋊Q₈	C₂×C₃	1	2	yes	complemented
162	#5579	C₂×C₃	1	1	yes	characteristic, complemented
163	#5578	C₂×C₃	1	1	yes	characteristic, complemented
164	#5545	C₂×C₃	1	1	yes	characteristic
165	#5545	C₂×C₃	1	1	yes	characteristic
166	C₄×D₃×D₄	C₂×C₃	1	1	yes	characteristic
167	#5539	C₂×C₃	1	1	yes	characteristic, complemented
168	#5539	C₂×C₃	1	1	yes	characteristic, complemented
169	D₄×Dic₆	C₂×C₃	1	1	yes	characteristic, complemented
170	#5511	C₂×C₃	1	2	yes	complemented
171	C₂×#896	C₂×C₃	1	2	yes	complemented
172	C₂³×C₃×D₃	C₂³	1	2	yes	—
173	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
174	C₂×C₃²×Q₈	C₂³	1	2	yes	—
175	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
176	C₂²×C₃²×C₄	C₂³	1	2	yes	—
177	C₂²×C₃²×C₄	C₂³	1	2	yes	—
178	C₂²×C₃²×C₄	C₂³	1	2	yes	—
179	C₂×C₃×#67	C₂³	1	2	yes	—
180	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
181	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
182	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
183	C₃×D₃×Q₈	—	4	4	no	—
184	C₃×D₃×D₄	Q₈	1	8	yes	complemented
185	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
186	C₂×C₃×C₄×D₃	—	4	4	no	—
187	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
188	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
189	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
190	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
191	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
192	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
193	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
194	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
195	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
196	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
197	C₂×C₃×Dic₆	—	4	4	no	—
198	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
199	C₂×C₃×Dic₆	C₂³	1	2	yes	—
200	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
201	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
202	C₂×C₃×Dic₆	C₂³	1	2	yes	—
203	C₂×C₃×Dic₆	C₂³	1	2	yes	—
204	C₂×C₃×Dic₆	C₂³	1	2	yes	—
205	C₂×C₃×Dic₆	C₂³	1	2	yes	—
206	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
207	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
208	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
212	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
215	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
217	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
218	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₃²×C₄²	C₂³	1	1	yes	characteristic
221	C₃²×C₄²	C₂³	1	1	yes	characteristic
222	C₃²×C₄²	C₂³	1	1	yes	characteristic
223	C₃×#217	C₂³	1	2	yes	—
224	C₃×#217	C₂³	1	2	yes	—
225	C₃×#217	C₂³	1	2	yes	—
226	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
227	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
228	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
229	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
230	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
231	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
232	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
233	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
234	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
235	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
236	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
237	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
238	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
239	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
240	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
241	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
242	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
243	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
244	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
245	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
246	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
247	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
248	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
249	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
250	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
251	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
252	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
253	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
254	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
255	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
256	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
257	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
258	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
259	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
260	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
261	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
262	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
263	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
264	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
265	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
266	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
267	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
268	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
269	C₃×C₄×Dic₃	C₂³	1	2	yes	—
270	C₃×C₄×Dic₃	C₂³	1	2	yes	—
271	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
272	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
273	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
274	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
275	#3501	—	3	1	no	Sylow
276	C₂²×C₃×Q₈	—	3	2	no	—
277	C₂²×C₃×Q₈	—	3	2	no	—
278	C₂²×C₃×D₄	—	3	1	no	—
279	C₂³×C₃×C₄	—	3	2	no	—
280	C₂×D₃×Q₈	C₂²×C₃	1	2	yes	complemented
281	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic
282	C₂²×C₄×D₃	C₂²×C₃	1	2	yes	—
283	C₂²×Dic₆	C₂²×C₃	1	2	yes	complemented
284	C₃×C₄⋊Q₈	—	2	1	no	—
285	C₃×C₄⋊Q₈	—	3	1	no	—
286	C₃×C₄⋊Q₈	—	3	2	no	—
287	C₃×C₄⋊Q₈	—	3	1	no	—
288	C₃×C₄⋊Q₈	—	3	1	no	—
289	C₃×C₄⋊Q₈	—	3	1	no	—
290	C₃×C₄⋊Q₈	—	3	2	no	—
291	C₃×C₄⋊Q₈	—	3	1	no	—
292	C₃×C₄⋊Q₈	—	3	1	no	—
293	C₃×C₄⋊Q₈	—	3	1	no	—
294	C₃×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
295	C₃×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
296	C₃×#125	—	2	1	no	—
297	C₃×#125	—	2	1	no	—
298	C₃×#125	—	3	1	no	—
299	C₃×#125	—	3	1	no	—
300	C₃×#125	—	3	2	no	—
301	C₃×#125	—	3	2	no	—
302	C₃×#125	—	3	1	no	—
303	C₃×#125	—	3	1	no	—
304	C₃×#125	—	3	1	no	—
305	C₃×#125	—	3	1	no	—
306	C₃×#125	C₂×D₃	1	1	yes	characteristic, complemented
307	C₃×#125	C₂×D₃	1	1	yes	characteristic, complemented
308	C₃×#125	C₂²×C₃	1	1	yes	characteristic, complemented
309	C₃×#125	C₂²×C₃	1	1	yes	characteristic, complemented
310	C₃×C₂²⋊Q₈	—	2	2	no	—
311	C₃×C₂²⋊Q₈	—	2	2	no	—
312	C₃×C₂²⋊Q₈	—	2	2	no	—
313	C₃×C₂²⋊Q₈	—	3	2	no	—
314	C₃×C₂²⋊Q₈	—	3	1	no	—
315	C₃×C₂²⋊Q₈	—	3	2	no	—
316	C₃×C₂²⋊Q₈	—	3	2	no	—
317	C₃×C₂²⋊Q₈	—	3	2	no	—
318	C₃×C₂²⋊Q₈	—	3	2	no	—
319	C₃×C₂²⋊Q₈	—	3	2	no	—
320	C₃×C₂²⋊Q₈	—	3	1	no	—
321	C₃×C₂²⋊Q₈	—	3	2	no	—
322	C₃×C₂²⋊Q₈	—	3	1	no	—
323	C₃×C₂²⋊Q₈	—	3	2	no	—
324	C₃×C₂²⋊Q₈	—	3	2	no	—
325	C₃×C₂²⋊Q₈	—	3	2	no	—
326	C₃×C₂²⋊Q₈	—	3	2	no	—
327	C₃×C₂²⋊Q₈	—	3	2	no	—
328	C₃×C₂²⋊Q₈	—	3	2	no	—
329	C₃×C₂²⋊Q₈	—	3	2	no	—
330	C₃×C₂²⋊Q₈	—	3	2	no	—
331	C₃×C₂²⋊Q₈	—	3	2	no	—
332	C₃×C₂²⋊Q₈	—	3	2	no	—
333	C₃×C₂²⋊Q₈	—	3	2	no	—
334	C₃×C₂²⋊Q₈	—	3	2	no	—
335	C₃×C₂²⋊Q₈	—	3	1	no	—
336	C₃×C₂²⋊Q₈	—	3	2	no	—
337	C₃×C₂²⋊Q₈	—	3	2	no	—
338	C₃×C₂²⋊Q₈	—	3	2	no	—
339	C₃×C₂²⋊Q₈	—	3	2	no	—
340	C₃×C₂²⋊Q₈	—	3	2	no	—
341	C₃×C₂²⋊Q₈	—	3	2	no	—
342	C₃×C₂²⋊Q₈	—	3	2	no	—
343	C₃×C₂²⋊Q₈	—	3	2	no	—
344	C₃×C₂²⋊Q₈	C₂×D₃	1	2	yes	complemented
345	C₃×C₂²⋊Q₈	C₂×D₃	1	2	yes	complemented
346	C₃×C₂²⋊Q₈	C₂×D₃	1	2	yes	complemented
347	C₃×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
348	C₃×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
349	C₃×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
350	C₃×C₄×Q₈	—	2	1	no	—
351	C₃×C₄×Q₈	—	3	2	no	—
352	C₃×C₄×Q₈	—	3	2	no	—
353	C₃×C₄×Q₈	—	3	1	no	—
354	C₃×C₄×Q₈	—	3	1	no	—
355	C₃×C₄×Q₈	—	3	1	no	—
356	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
357	C₃×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
358	C₃×C₄×D₄	—	2	1	no	—
359	C₃×C₄×D₄	—	2	1	no	—
360	C₃×C₄×D₄	—	2	1	no	—
361	C₃×C₄×D₄	—	3	1	no	—
362	C₃×C₄×D₄	—	3	1	no	—
363	C₃×C₄×D₄	—	3	1	no	—
364	C₃×C₄×D₄	—	3	2	no	—
365	C₃×C₄×D₄	—	3	2	no	—
366	C₃×C₄×D₄	—	3	2	no	—
367	C₃×C₄×D₄	—	3	1	no	—
368	C₃×C₄×D₄	—	3	1	no	—
369	C₃×C₄×D₄	—	3	1	no	—
370	C₃×C₄×D₄	—	3	2	no	—
371	C₃×C₄×D₄	—	3	2	no	—
372	C₃×C₄×D₄	—	3	2	no	—
373	C₃×C₄×D₄	—	3	1	no	—
374	C₃×C₄×D₄	—	3	1	no	—
375	C₃×C₄×D₄	—	3	1	no	—
376	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
377	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
378	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
379	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
380	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
381	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
382	C₃×#117	—	3	1	no	—
383	C₃×#117	—	3	1	no	—
384	C₃×#117	—	3	1	no	—
385	C₃×#117	—	3	1	no	—
386	C₂×C₃×C₄⋊C₄	—	2	2	no	—
387	C₂×C₃×C₄⋊C₄	—	3	2	no	—
388	C₂×C₃×C₄⋊C₄	—	3	2	no	—
389	C₂×C₃×C₄⋊C₄	—	3	1	no	—
390	C₂×C₃×C₄⋊C₄	—	3	2	no	—
391	C₂×C₃×C₄⋊C₄	—	3	2	no	—
392	C₂×C₃×C₄⋊C₄	—	3	2	no	—
393	C₂×C₃×C₄⋊C₄	C₂×D₃	1	2	yes	complemented
394	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
395	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
396	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
397	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
398	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
399	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
400	C₂×C₃×C₄²	—	3	1	no	—
401	#946	C₂²×C₃	1	1	yes	characteristic
402	#946	C₂²×C₃	1	2	yes	—
403	#946	C₂²×C₃	1	2	yes	complemented
404	#946	C₂²×C₃	1	2	yes	complemented
405	#944	C₂²×C₃	1	2	yes	complemented
406	#944	C₂²×C₃	1	1	yes	characteristic, complemented
407	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
408	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
409	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
410	C₄×#67	C₂²×C₃	1	2	yes	—
411	C₄×#67	C₂²×C₃	1	2	yes	—
412	C₄×#67	C₂²×C₃	1	2	yes	—
413	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	—
414	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	—
415	#924	C₂²×C₃	1	2	yes	complemented
416	#924	C₂²×C₃	1	2	yes	complemented
417	#924	C₂²×C₃	1	2	yes	complemented
418	C₂×Dic₃⋊C₄	C₂²×C₃	1	2	yes	complemented
419	C₂×Dic₃⋊C₄	C₂²×C₃	1	2	yes	complemented
420	#897	C₂²×C₃	1	1	yes	characteristic
421	#897	C₂²×C₃	1	2	yes	—
422	#897	C₂²×C₃	1	2	yes	complemented
423	#897	C₂²×C₃	1	2	yes	complemented
424	#896	C₂²×C₃	1	2	yes	—
425	#896	C₂²×C₃	1	2	yes	—
426	#896	C₂²×C₃	1	2	yes	—
427	#896	C₂²×C₃	1	2	yes	—
428	#896	C₂²×C₃	1	1	yes	characteristic
429	#896	C₂²×C₃	1	1	yes	characteristic
430	#896	C₂²×C₃	1	2	yes	complemented
431	#896	C₂²×C₃	1	2	yes	complemented
432	#896	C₂²×C₃	1	2	yes	complemented
433	#896	C₂²×C₃	1	2	yes	complemented
434	#896	C₂²×C₃	1	2	yes	complemented
435	#896	C₂²×C₃	1	2	yes	complemented
436	#896	C₂²×C₃	1	2	yes	complemented
437	#896	C₂²×C₃	1	2	yes	complemented
438	#893	C₂²×C₃	1	1	yes	characteristic
439	#893	C₂²×C₃	1	1	yes	characteristic
440	#893	C₂²×C₃	1	1	yes	characteristic
441	#892	C₂²×C₃	1	1	yes	characteristic
442	#892	C₂²×C₃	1	1	yes	characteristic
443	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
444	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
445	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
446	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
447	#890	C₂²×C₃	1	1	yes	characteristic, complemented
448	#890	C₂²×C₃	1	1	yes	characteristic, complemented
449	#889	C₂²×C₃	1	2	yes	complemented
450	#889	C₂²×C₃	1	1	yes	characteristic, complemented
451	#889	C₂²×C₃	1	2	yes	complemented
452	#889	C₂²×C₃	1	1	yes	characteristic, complemented
453	#888	C₂²×C₃	1	1	yes	characteristic, complemented
454	#888	C₂²×C₃	1	2	yes	complemented
455	#888	C₂²×C₃	1	1	yes	characteristic, complemented
456	#888	C₂²×C₃	1	1	yes	characteristic, complemented
457	#888	C₂²×C₃	1	1	yes	characteristic, complemented
458	#888	C₂²×C₃	1	1	yes	characteristic, complemented
459	#887	C₂²×C₃	1	2	yes	complemented
460	#887	C₂²×C₃	1	2	yes	complemented
461	#67⋊C₄	C₂²×C₃	1	2	yes	—
462	#67⋊C₄	C₂²×C₃	1	2	yes	—
463	#67⋊C₄	C₂²×C₃	1	2	yes	—
464	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
465	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
466	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
467	#878	C₂²×C₃	1	2	yes	complemented
468	#878	C₂²×C₃	1	2	yes	complemented
469	#878	C₂²×C₃	1	2	yes	complemented
470	#878	C₂²×C₃	1	2	yes	complemented
471	#878	C₂²×C₃	1	2	yes	complemented
472	#878	C₂²×C₃	1	2	yes	complemented
473	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
474	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
475	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
476	#872	C₂²×C₃	1	1	yes	characteristic
477	#872	C₂²×C₃	1	1	yes	characteristic
478	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic
479	#870	C₂²×C₃	1	1	yes	characteristic, complemented
480	#870	C₂²×C₃	1	1	yes	characteristic, complemented
481	#869	C₂²×C₃	1	1	yes	characteristic, complemented
482	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
483	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
484	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
485	C₂³×C₃²	C₂⁴	1	2	yes	—
486	C₂²×C₃×D₃	—	4	2	no	—
487	C₂²×C₃×D₃	—	4	2	no	—
488	C₂²×C₃×D₃	C₂×Q₈	1	8	yes	complemented
489	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
490	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
491	C₃²×Q₈	—	4	1	no	—
492	C₃²×Q₈	—	4	2	no	—
493	C₃²×D₄	C₂×Q₈	1	4	yes	complemented
494	C₂×C₃²×C₄	—	4	2	no	—
495	C₂×C₃²×C₄	—	4	2	no	—
496	C₂×C₃²×C₄	—	4	2	no	—
497	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
498	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
499	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
500	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
501	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
502	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
503	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
504	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
505	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
506	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
507	C₃×#67	C₂×Q₈	1	8	yes	complemented
508	C₂×C₃×Dic₃	—	2	4	no	—
509	C₂×C₃×Dic₃	—	4	2	no	—
510	C₂×C₃×Dic₃	—	4	2	no	—
511	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
512	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
513	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
514	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
515	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
516	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
517	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
518	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
519	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
520	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
521	C₃×D₁₂	C₂×Q₈	1	4	yes	complemented
522	C₃×C₄×D₃	—	2	2	no	—
523	C₃×C₄×D₃	—	2	4	no	—
524	C₃×C₄×D₃	—	4	2	no	—
525	C₃×C₄×D₃	—	4	2	no	—
526	C₃×C₄×D₃	—	4	1	no	—
527	C₃×C₄×D₃	—	4	2	no	—
528	C₃×C₄×D₃	—	4	2	no	—
529	C₃×C₄×D₃	—	4	2	no	—
530	C₃×C₄×D₃	—	4	2	no	—
531	C₃×C₄×D₃	C₂×Q₈	1	4	yes	complemented
532	C₃×Dic₆	—	2	2	no	—
533	C₃×Dic₆	—	2	4	no	—
534	C₃×Dic₆	—	2	2	no	—
535	C₃×Dic₆	—	4	2	no	—
536	C₃×Dic₆	—	4	2	no	—
537	C₃×Dic₆	—	4	2	no	—
538	C₃×Dic₆	—	4	1	no	—
539	C₃×Dic₆	—	4	2	no	—
540	#554	—	3	1	no	—
541	#554	—	3	1	no	—
542	#554	—	3	2	no	—
543	#554	—	3	2	no	—
544	#554	—	3	1	no	—
545	#554	—	3	1	no	—
546	#554	—	3	1	no	—
547	#554	—	3	2	no	—
548	#554	C₃×D₃	1	1	yes	characteristic, complemented
549	D₄×Q₈	—	3	1	no	—
550	D₄×Q₈	—	3	2	no	—
551	D₄×Q₈	—	3	1	no	—
552	#544	—	3	1	no	—
553	#544	—	3	1	no	—
554	#543	—	3	2	no	—
555	#543	—	3	2	no	—
556	#533	—	3	1	no	—
557	#533	—	3	1	no	—
558	C₂×C₂²⋊Q₈	—	3	2	no	—
559	C₂×C₂²⋊Q₈	—	3	2	no	—
560	#518	—	3	1	no	—
561	#518	—	3	1	no	—
562	C₂×C₄×D₄	—	3	1	no	—
563	C₂⁴×C₃	—	3	2	no	—
564	C₂³×D₃	C₂³×C₃	1	2	yes	—
565	C₂×C₃×Q₈	—	2	1	no	—
566	C₂×C₃×Q₈	—	2	2	no	—
567	C₂×C₃×Q₈	—	3	2	no	—
568	C₂×C₃×Q₈	—	3	1	no	—
569	C₂×C₃×Q₈	—	3	1	no	—
570	C₂×C₃×Q₈	—	3	2	no	—
571	C₂×C₃×Q₈	—	3	1	no	—
572	C₂×C₃×Q₈	—	3	2	no	—
573	C₂×C₃×Q₈	—	3	2	no	—
574	C₂×C₃×Q₈	—	3	2	no	—
575	C₂×C₃×Q₈	—	12	4	no	—
576	C₂×C₃×Q₈	—	12	4	no	—
577	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
578	C₂×C₃×Q₈	C₂²×D₃	1	2	yes	—
579	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
580	C₂×C₃×Q₈	C₂³×C₃	1	2	yes	—
581	C₂×C₃×D₄	—	2	1	no	—
582	C₂×C₃×D₄	—	3	2	no	—
583	C₂×C₃×D₄	—	3	8	no	—
584	C₂×C₃×D₄	—	3	1	no	—
585	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
586	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
587	C₂²×C₃×C₄	—	2	2	no	—
588	C₂²×C₃×C₄	—	2	2	no	—
589	C₂²×C₃×C₄	—	2	2	no	—
590	C₂²×C₃×C₄	—	3	1	no	—
591	C₂²×C₃×C₄	—	3	2	no	—
592	C₂²×C₃×C₄	—	3	2	no	—
593	C₂²×C₃×C₄	—	3	2	no	—
594	C₂²×C₃×C₄	—	3	1	no	—
595	C₂²×C₃×C₄	—	3	2	no	—
596	C₂²×C₃×C₄	—	3	1	no	—
597	C₂²×C₃×C₄	—	3	2	no	—
598	C₂²×C₃×C₄	—	3	2	no	—
599	C₂²×C₃×C₄	—	3	2	no	—
600	C₂²×C₃×C₄	—	3	2	no	—
601	C₂²×C₃×C₄	—	3	2	no	—
602	C₂²×C₃×C₄	—	3	2	no	—
603	C₂²×C₃×C₄	—	12	4	no	—
604	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
605	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
606	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
607	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
608	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
609	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
610	C₂×#67	C₂³×C₃	1	2	yes	—
611	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
612	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
613	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
614	D₃×Q₈	—	4	4	no	—
615	D₃×D₄	C₃×Q₈	1	8	yes	complemented
616	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
617	C₂×C₄×D₃	—	4	4	no	—
618	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
619	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
620	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
621	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
622	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
623	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
624	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
625	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
626	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
627	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
628	C₂×Dic₆	—	4	4	no	—
629	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
630	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
631	C₂×Dic₆	C₂³×C₃	1	2	yes	—
632	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
633	C₂×Dic₆	C₂³×C₃	1	2	yes	—
634	C₂×Dic₆	C₂³×C₃	1	2	yes	—
635	C₂×Dic₆	C₂³×C₃	1	2	yes	—
636	C₂×Dic₆	C₂³×C₃	1	2	yes	—
637	C₃×C₄⋊C₄	—	2	1	no	—
638	C₃×C₄⋊C₄	—	2	2	no	—
639	C₃×C₄⋊C₄	—	2	2	no	—
640	C₃×C₄⋊C₄	—	2	2	no	—
641	C₃×C₄⋊C₄	—	2	1	no	—
642	C₃×C₄⋊C₄	—	2	1	no	—
643	C₃×C₄⋊C₄	—	2	1	no	—
644	C₃×C₄⋊C₄	—	2	1	no	—
645	C₃×C₄⋊C₄	—	2	1	no	—
646	C₃×C₄⋊C₄	—	2	2	no	—
647	C₃×C₄⋊C₄	—	2	2	no	—
648	C₃×C₄⋊C₄	—	3	2	no	—
649	C₃×C₄⋊C₄	—	3	1	no	—
650	C₃×C₄⋊C₄	—	3	1	no	—
651	C₃×C₄⋊C₄	—	3	2	no	—
652	C₃×C₄⋊C₄	—	3	1	no	—
653	C₃×C₄⋊C₄	—	3	1	no	—
654	C₃×C₄⋊C₄	—	3	2	no	—
655	C₃×C₄⋊C₄	—	3	2	no	—
656	C₃×C₄⋊C₄	—	3	2	no	—
657	C₃×C₄⋊C₄	—	3	2	no	—
658	C₃×C₄⋊C₄	—	3	2	no	—
659	C₃×C₄⋊C₄	—	3	2	no	—
660	C₃×C₄⋊C₄	—	3	2	no	—
661	C₃×C₄⋊C₄	—	3	1	no	—
662	C₃×C₄⋊C₄	—	3	1	no	—
663	C₃×C₄⋊C₄	—	3	1	no	—
664	C₃×C₄⋊C₄	—	3	1	no	—
665	C₃×C₄⋊C₄	—	3	1	no	—
666	C₃×C₄⋊C₄	—	3	1	no	—
667	C₃×C₄⋊C₄	—	3	2	no	—
668	C₃×C₄⋊C₄	—	3	2	no	—
669	C₃×C₄⋊C₄	—	3	1	no	—
670	C₃×C₄⋊C₄	—	3	2	no	—
671	C₃×C₄⋊C₄	—	3	2	no	—
672	C₃×C₄⋊C₄	—	3	2	no	—
673	C₃×C₄⋊C₄	—	3	1	no	—
674	C₃×C₄⋊C₄	—	3	1	no	—
675	C₃×C₄⋊C₄	—	3	1	no	—
676	C₃×C₄⋊C₄	—	3	1	no	—
677	C₃×C₄⋊C₄	—	3	1	no	—
678	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
679	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
680	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
681	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
682	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
683	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
684	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
685	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
686	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
687	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
688	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
689	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
690	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
691	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
692	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
693	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
694	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
695	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
696	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
697	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
698	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
699	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
700	C₃×C₂²⋊C₄	—	2	2	no	—
701	C₃×C₂²⋊C₄	—	2	2	no	—
702	C₃×C₂²⋊C₄	—	2	2	no	—
703	C₃×C₂²⋊C₄	—	3	2	no	—
704	C₃×C₂²⋊C₄	—	3	2	no	—
705	C₃×C₂²⋊C₄	—	3	2	no	—
706	C₃×C₂²⋊C₄	—	3	2	no	—
707	C₃×C₂²⋊C₄	—	3	1	no	—
708	C₃×C₂²⋊C₄	—	3	1	no	—
709	C₃×C₂²⋊C₄	—	3	2	no	—
710	C₃×C₂²⋊C₄	—	3	1	no	—
711	C₃×C₂²⋊C₄	—	3	1	no	—
712	C₃×C₂²⋊C₄	—	3	2	no	—
713	C₃×C₂²⋊C₄	—	3	2	no	—
714	C₃×C₂²⋊C₄	—	3	2	no	—
715	C₃×C₂²⋊C₄	—	3	2	no	—
716	C₃×C₂²⋊C₄	—	3	2	no	—
717	C₃×C₂²⋊C₄	—	3	2	no	—
718	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
719	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
720	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
721	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
722	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
723	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
724	C₃×C₄²	—	2	1	no	—
725	C₃×C₄²	—	2	1	no	—
726	C₃×C₄²	—	2	1	no	—
727	C₃×C₄²	—	3	1	no	—
728	C₃×C₄²	—	3	1	no	—
729	C₃×C₄²	—	3	1	no	—
730	C₃×C₄²	—	3	2	no	—
731	C₃×C₄²	—	3	2	no	—
732	C₃×C₄²	—	3	1	no	—
733	C₃×C₄²	—	3	1	no	—
734	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
735	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
736	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
737	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
738	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
739	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
740	#217	C₂³×C₃	1	2	yes	—
741	#217	C₂³×C₃	1	2	yes	—
742	#217	C₂³×C₃	1	2	yes	—
743	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
744	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
745	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
746	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
747	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
748	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
749	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
750	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
751	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
752	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
753	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
754	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
755	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
756	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
757	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
758	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
759	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
760	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
761	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
762	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
763	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
764	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
765	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
766	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
767	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
768	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
769	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
770	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
771	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
772	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
773	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
774	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
775	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
776	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
777	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
778	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
779	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
780	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
781	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
782	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
783	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
784	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
785	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
786	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
787	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
788	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
789	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
790	C₄×Dic₃	C₂³×C₃	1	2	yes	—
791	C₄×Dic₃	C₂³×C₃	1	2	yes	—
792	C₂²×C₃²	—	2	2	no	—
793	C₂²×C₃²	—	2	2	no	—
794	C₂²×C₃²	C₂²×Q₈	1	4	yes	—
795	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
796	C₂×C₃×D₃	—	2	2	no	—
797	C₂×C₃×D₃	—	2	1	no	—
798	C₂×C₃×D₃	—	2	2	no	—
799	C₂×C₃×D₃	—	2	1	no	—
800	C₂×C₃×D₃	—	4	8	no	—
801	C₂×C₃×D₃	C₂²×Q₈	1	2	yes	—
802	C₂×C₃×D₃	C₂²×Q₈	1	4	yes	—
803	C₃²×C₄	—	2	1	no	—
804	C₃²×C₄	—	2	1	no	—
805	C₃²×C₄	—	2	2	no	—
806	C₃²×C₄	—	2	1	no	—
807	C₃²×C₄	—	2	2	no	—
808	C₃²×C₄	—	2	1	no	—
809	C₃²×C₄	—	2	2	no	—
810	C₃²×C₄	—	2	1	no	—
811	C₃²×C₄	—	2	1	no	—
812	C₃²×C₄	C₂²×Q₈	1	2	yes	—
813	C₃×Dic₃	—	2	1	no	—
814	C₃×Dic₃	—	2	2	no	—
815	C₃×Dic₃	—	2	1	no	—
816	C₃×Dic₃	—	2	2	no	—
817	C₃×Dic₃	—	2	1	no	—
818	C₃×Dic₃	—	2	1	no	—
819	C₃×Dic₃	—	2	2	no	—
820	C₃×Dic₃	—	2	1	no	—
821	C₃×Dic₃	C₂²×Q₈	1	2	yes	—
822	C₃×Dic₃	H(5,𝔽₂)	1	2	yes	—
823	C₂²×Q₈	—	3	2	no	—
824	C₂²×Q₈	—	3	2	no	—
825	C₂²×D₄	—	3	1	no	—
826	C₂³×C₄	—	3	2	no	—
827	C₄⋊Q₈	—	3	1	no	—
828	C₄⋊Q₈	—	3	2	no	—
829	C₄⋊Q₈	—	3	1	no	—
830	C₄⋊Q₈	—	3	1	no	—
831	C₄⋊Q₈	—	3	1	no	—
832	C₄⋊Q₈	—	3	2	no	—
833	C₄⋊Q₈	—	3	1	no	—
834	C₄⋊Q₈	—	3	1	no	—
835	C₄⋊Q₈	—	3	1	no	—
836	C₄⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
837	#125	—	3	1	no	—
838	#125	—	3	1	no	—
839	#125	—	3	2	no	—
840	#125	—	3	2	no	—
841	#125	—	3	1	no	—
842	#125	—	3	1	no	—
843	#125	—	3	1	no	—
844	#125	—	3	1	no	—
845	#125	C₂×C₃×D₃	1	1	yes	characteristic, complemented
846	#125	C₂×C₃×D₃	1	1	yes	characteristic, complemented
847	C₂²⋊Q₈	—	3	2	no	—
848	C₂²⋊Q₈	—	3	1	no	—
849	C₂²⋊Q₈	—	3	2	no	—
850	C₂²⋊Q₈	—	3	2	no	—
851	C₂²⋊Q₈	—	3	2	no	—
852	C₂²⋊Q₈	—	3	2	no	—
853	C₂²⋊Q₈	—	3	2	no	—
854	C₂²⋊Q₈	—	3	1	no	—
855	C₂²⋊Q₈	—	3	2	no	—
856	C₂²⋊Q₈	—	3	1	no	—
857	C₂²⋊Q₈	—	3	2	no	—
858	C₂²⋊Q₈	—	3	2	no	—
859	C₂²⋊Q₈	—	3	2	no	—
860	C₂²⋊Q₈	—	3	2	no	—
861	C₂²⋊Q₈	—	3	2	no	—
862	C₂²⋊Q₈	—	3	2	no	—
863	C₂²⋊Q₈	—	3	2	no	—
864	C₂²⋊Q₈	—	3	2	no	—
865	C₂²⋊Q₈	—	3	1	no	—
866	C₂²⋊Q₈	—	3	2	no	—
867	C₂²⋊Q₈	—	3	2	no	—
868	C₂²⋊Q₈	—	3	2	no	—
869	C₂²⋊Q₈	—	3	2	no	—
870	C₂²⋊Q₈	—	3	2	no	—
871	C₂²⋊Q₈	—	3	2	no	—
872	C₂²⋊Q₈	—	3	2	no	—
873	C₂²⋊Q₈	—	3	2	no	—
874	C₂²⋊Q₈	—	3	2	no	—
875	C₂²⋊Q₈	—	3	2	no	—
876	C₂²⋊Q₈	—	3	2	no	—
877	C₂²⋊Q₈	—	3	2	no	—
878	C₂²⋊Q₈	C₂×C₃×D₃	1	2	yes	complemented
879	C₂²⋊Q₈	C₂×C₃×D₃	1	2	yes	complemented
880	C₂²⋊Q₈	C₂×C₃×D₃	1	2	yes	complemented
881	C₄×Q₈	—	3	2	no	—
882	C₄×Q₈	—	3	2	no	—
883	C₄×Q₈	—	3	1	no	—
884	C₄×Q₈	—	3	1	no	—
885	C₄×Q₈	—	3	1	no	—
886	C₄×Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
887	C₄×D₄	—	3	1	no	—
888	C₄×D₄	—	3	1	no	—
889	C₄×D₄	—	3	1	no	—
890	C₄×D₄	—	3	2	no	—
891	C₄×D₄	—	3	2	no	—
892	C₄×D₄	—	3	2	no	—
893	C₄×D₄	—	3	1	no	—
894	C₄×D₄	—	3	1	no	—
895	C₄×D₄	—	3	1	no	—
896	C₄×D₄	—	3	2	no	—
897	C₄×D₄	—	3	2	no	—
898	C₄×D₄	—	3	2	no	—
899	C₄×D₄	—	3	1	no	—
900	C₄×D₄	—	3	1	no	—
901	C₄×D₄	—	3	1	no	—
902	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
903	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
904	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
905	#117	—	3	1	no	—
906	#117	—	3	1	no	—
907	#117	—	3	1	no	—
908	#117	—	3	1	no	—
909	C₂×C₄⋊C₄	—	3	2	no	—
910	C₂×C₄⋊C₄	—	3	2	no	—
911	C₂×C₄⋊C₄	—	3	1	no	—
912	C₂×C₄⋊C₄	—	3	2	no	—
913	C₂×C₄⋊C₄	—	3	2	no	—
914	C₂×C₄⋊C₄	—	3	2	no	—
915	C₂×C₄⋊C₄	C₂×C₃×D₃	1	2	yes	complemented
916	C₂×C₂²⋊C₄	—	3	2	no	—
917	C₂×C₂²⋊C₄	—	3	2	no	—
918	C₂×C₂²⋊C₄	—	3	2	no	—
919	C₂×C₂²⋊C₄	—	3	2	no	—
920	C₂×C₂²⋊C₄	—	3	2	no	—
921	C₂×C₄²	—	3	1	no	—
922	C₂³×C₃	—	2	2	no	—
923	C₂³×C₃	—	3	1	no	—
924	C₂³×C₃	—	3	2	no	—
925	C₂³×C₃	—	3	8	no	—
926	C₂³×C₃	—	12	2	no	—
927	C₂³×C₃	—	12	2	no	—
928	C₂³×C₃	C₂³×D₃	1	2	yes	—
929	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
930	C₂²×D₃	—	4	2	no	—
931	C₂²×D₃	—	4	2	no	—
932	C₂²×D₃	C₂×C₃×Q₈	1	8	yes	complemented
933	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
934	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
935	C₃×Q₈	—	4	2	no	—
936	C₃×Q₈	—	4	2	no	—
937	C₃×Q₈	—	4	1	no	—
938	C₃×Q₈	—	4	1	no	—
939	C₃×Q₈	—	4	2	no	—
940	C₃×Q₈	—	6	2	no	—
941	C₃×Q₈	—	6	4	no	—
942	C₃×Q₈	—	6	2	no	—
943	C₃×Q₈	—	8	2	no	—
944	C₃×Q₈	—	12	2	no	—
945	C₃×Q₈	—	12	1	no	—
946	C₃×Q₈	—	12	2	no	—
947	C₃×Q₈	—	12	2	no	—
948	C₃×Q₈	—	12	2	no	—
949	C₃×D₄	—	2	4	no	—
950	C₃×D₄	—	3	8	no	—
951	C₃×D₄	—	3	4	no	—
952	C₃×D₄	D₃×Q₈	1	4	yes	complemented
953	C₃×D₄	C₂×C₃×Q₈	1	4	yes	complemented
954	C₂×C₃×C₄	—	2	1	no	—
955	C₂×C₃×C₄	—	2	1	no	—
956	C₂×C₃×C₄	—	2	1	no	—
957	C₂×C₃×C₄	—	2	1	no	—
958	C₂×C₃×C₄	—	2	1	no	—
959	C₂×C₃×C₄	—	2	1	no	—
960	C₂×C₃×C₄	—	2	1	no	—
961	C₂×C₃×C₄	—	2	2	no	—
962	C₂×C₃×C₄	—	2	2	no	—
963	C₂×C₃×C₄	—	2	2	no	—
964	C₂×C₃×C₄	—	3	1	no	—
965	C₂×C₃×C₄	—	3	1	no	—
966	C₂×C₃×C₄	—	3	4	no	—
967	C₂×C₃×C₄	—	3	1	no	—
968	C₂×C₃×C₄	—	3	1	no	—
969	C₂×C₃×C₄	—	3	2	no	—
970	C₂×C₃×C₄	—	3	1	no	—
971	C₂×C₃×C₄	—	3	1	no	—
972	C₂×C₃×C₄	—	3	2	no	—
973	C₂×C₃×C₄	—	3	1	no	—
974	C₂×C₃×C₄	—	3	2	no	—
975	C₂×C₃×C₄	—	4	2	no	—
976	C₂×C₃×C₄	—	4	2	no	—
977	C₂×C₃×C₄	—	4	2	no	—
978	C₂×C₃×C₄	—	4	2	no	—
979	C₂×C₃×C₄	—	4	2	no	—
980	C₂×C₃×C₄	—	4	2	no	—
981	C₂×C₃×C₄	—	4	4	no	—
982	C₂×C₃×C₄	—	6	2	no	—
983	C₂×C₃×C₄	—	6	4	no	—
984	C₂×C₃×C₄	—	6	4	no	—
985	C₂×C₃×C₄	—	8	2	no	—
986	C₂×C₃×C₄	—	8	2	no	—
987	C₂×C₃×C₄	—	12	2	no	—
988	C₂×C₃×C₄	—	12	2	no	—
989	C₂×C₃×C₄	—	12	1	no	—
990	C₂×C₃×C₄	—	12	2	no	—
991	C₂×C₃×C₄	—	12	2	no	—
992	C₂×C₃×C₄	—	12	2	no	—
993	C₂×C₃×C₄	—	12	2	no	—
994	C₂×C₃×C₄	—	12	2	no	—
995	C₂×C₃×C₄	—	12	2	no	—
996	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
997	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
998	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
999	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1000	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1001	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1002	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1003	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1004	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1005	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1006	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1007	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1008	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1009	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1010	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1011	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1012	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1013	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1014	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1015	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1016	#67	C₂×C₃×Q₈	1	8	yes	complemented
1017	C₂×Dic₃	—	2	4	no	—
1018	C₂×Dic₃	—	4	2	no	—
1019	C₂×Dic₃	—	4	2	no	—
1020	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1021	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1022	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1023	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1024	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1025	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1026	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1027	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1028	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1029	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1030	D₁₂	C₂×C₃×Q₈	1	4	yes	complemented
1031	C₄×D₃	—	2	2	no	—
1032	C₄×D₃	—	2	4	no	—
1033	C₄×D₃	—	4	2	no	—
1034	C₄×D₃	—	4	2	no	—
1035	C₄×D₃	—	4	1	no	—
1036	C₄×D₃	—	4	2	no	—
1037	C₄×D₃	—	4	2	no	—
1038	C₄×D₃	—	4	2	no	—
1039	C₄×D₃	—	4	2	no	—
1040	C₄×D₃	C₂×C₃×Q₈	1	4	yes	complemented
1041	Dic₆	—	2	2	no	—
1042	Dic₆	—	2	4	no	—
1043	Dic₆	—	2	2	no	—
1044	Dic₆	—	4	2	no	—
1045	Dic₆	—	4	2	no	—
1046	Dic₆	—	4	2	no	—
1047	Dic₆	—	4	1	no	—
1048	Dic₆	—	4	2	no	—
1049	C₂×C₃²	—	2	4	no	—
1050	C₂×C₃²	C₂³×Q₈	1	1	yes	characteristic
1051	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1052	C₂×C₃²	#585	1	1	yes	characteristic
1053	C₃×D₃	—	2	2	no	—
1054	C₃×D₃	—	2	4	no	—
1055	C₂⁴	—	3	2	no	—
1056	C₂×Q₈	—	3	2	no	—
1057	C₂×Q₈	—	3	1	no	—
1058	C₂×Q₈	—	3	1	no	—
1059	C₂×Q₈	—	3	2	no	—
1060	C₂×Q₈	—	3	1	no	—
1061	C₂×Q₈	—	3	2	no	—
1062	C₂×Q₈	—	3	2	no	—
1063	C₂×Q₈	—	3	2	no	—
1064	C₂×Q₈	—	12	4	no	—
1065	C₂×Q₈	—	12	4	no	—
1066	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1067	C₂×Q₈	C₂²×C₃×D₃	1	2	yes	—
1068	C₂×D₄	—	3	2	no	—
1069	C₂×D₄	—	3	8	no	—
1070	C₂×D₄	—	3	1	no	—
1071	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1072	C₂²×C₄	—	3	1	no	—
1073	C₂²×C₄	—	3	2	no	—
1074	C₂²×C₄	—	3	2	no	—
1075	C₂²×C₄	—	3	2	no	—
1076	C₂²×C₄	—	3	1	no	—
1077	C₂²×C₄	—	3	2	no	—
1078	C₂²×C₄	—	3	1	no	—
1079	C₂²×C₄	—	3	2	no	—
1080	C₂²×C₄	—	3	2	no	—
1081	C₂²×C₄	—	3	2	no	—
1082	C₂²×C₄	—	3	2	no	—
1083	C₂²×C₄	—	3	2	no	—
1084	C₂²×C₄	—	3	2	no	—
1085	C₂²×C₄	—	12	4	no	—
1086	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1087	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1088	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1089	C₄⋊C₄	—	3	1	no	—
1090	C₄⋊C₄	—	3	2	no	—
1091	C₄⋊C₄	—	3	1	no	—
1092	C₄⋊C₄	—	3	2	no	—
1093	C₄⋊C₄	—	3	1	no	—
1094	C₄⋊C₄	—	3	1	no	—
1095	C₄⋊C₄	—	3	2	no	—
1096	C₄⋊C₄	—	3	1	no	—
1097	C₄⋊C₄	—	3	2	no	—
1098	C₄⋊C₄	—	3	2	no	—
1099	C₄⋊C₄	—	3	2	no	—
1100	C₄⋊C₄	—	3	2	no	—
1101	C₄⋊C₄	—	3	2	no	—
1102	C₄⋊C₄	—	3	2	no	—
1103	C₄⋊C₄	—	3	2	no	—
1104	C₄⋊C₄	—	3	2	no	—
1105	C₄⋊C₄	—	3	2	no	—
1106	C₄⋊C₄	—	3	1	no	—
1107	C₄⋊C₄	—	3	1	no	—
1108	C₄⋊C₄	—	3	1	no	—
1109	C₄⋊C₄	—	3	1	no	—
1110	C₄⋊C₄	—	3	1	no	—
1111	C₄⋊C₄	—	3	1	no	—
1112	C₄⋊C₄	—	3	1	no	—
1113	C₄⋊C₄	—	3	1	no	—
1114	C₄⋊C₄	—	3	2	no	—
1115	C₄⋊C₄	—	3	1	no	—
1116	C₄⋊C₄	—	3	1	no	—
1117	C₄⋊C₄	—	3	2	no	—
1118	C₄⋊C₄	—	3	1	no	—
1119	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1120	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1121	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1122	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1123	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1124	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1125	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1126	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1127	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1128	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1129	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1130	C₂²⋊C₄	—	3	2	no	—
1131	C₂²⋊C₄	—	3	2	no	—
1132	C₂²⋊C₄	—	3	2	no	—
1133	C₂²⋊C₄	—	3	2	no	—
1134	C₂²⋊C₄	—	3	1	no	—
1135	C₂²⋊C₄	—	3	1	no	—
1136	C₂²⋊C₄	—	3	2	no	—
1137	C₂²⋊C₄	—	3	1	no	—
1138	C₂²⋊C₄	—	3	1	no	—
1139	C₂²⋊C₄	—	3	2	no	—
1140	C₂²⋊C₄	—	3	2	no	—
1141	C₂²⋊C₄	—	3	2	no	—
1142	C₂²⋊C₄	—	3	2	no	—
1143	C₂²⋊C₄	—	3	2	no	—
1144	C₂²⋊C₄	—	3	2	no	—
1145	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1146	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1147	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1148	C₄²	—	3	1	no	—
1149	C₄²	—	3	1	no	—
1150	C₄²	—	3	1	no	—
1151	C₄²	—	3	2	no	—
1152	C₄²	—	3	2	no	—
1153	C₄²	—	3	1	no	—
1154	C₄²	—	3	1	no	—
1155	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1156	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1157	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1158	C₂²×C₃	—	2	2	no	—
1159	C₂²×C₃	—	2	2	no	—
1160	C₂²×C₃	—	2	2	no	—
1161	C₂²×C₃	—	2	2	no	—
1162	C₂²×C₃	—	2	4	no	—
1163	C₂²×C₃	—	2	1	no	—
1164	C₂²×C₃	—	3	2	no	—
1165	C₂²×C₃	—	3	4	no	—
1166	C₂²×C₃	—	4	2	no	—
1167	C₂²×C₃	—	4	2	no	—
1168	C₂²×C₃	—	6	2	no	—
1169	C₂²×C₃	—	6	1	no	—
1170	C₂²×C₃	—	6	2	no	—
1171	C₂²×C₃	—	6	1	no	—
1172	C₂²×C₃	—	12	8	no	—
1173	C₂²×C₃	C₂×D₃×Q₈	1	4	yes	—
1174	C₂²×C₃	C₂²×C₃×Q₈	1	4	yes	—
1175	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1176	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1177	C₂×D₃	—	2	2	no	—
1178	C₂×D₃	—	2	1	no	—
1179	C₂×D₃	—	2	2	no	—
1180	C₂×D₃	—	2	1	no	—
1181	C₂×D₃	—	4	8	no	—
1182	C₂×D₃	C₂²×C₃×Q₈	1	2	yes	—
1183	C₂×D₃	C₂²×C₃×Q₈	1	4	yes	—
1184	C₃×C₄	—	2	2	no	—
1185	C₃×C₄	—	2	1	no	—
1186	C₃×C₄	—	2	2	no	—
1187	C₃×C₄	—	2	1	no	—
1188	C₃×C₄	—	2	1	no	—
1189	C₃×C₄	—	2	1	no	—
1190	C₃×C₄	—	2	1	no	—
1191	C₃×C₄	—	2	2	no	—
1192	C₃×C₄	—	2	2	no	—
1193	C₃×C₄	—	2	1	no	—
1194	C₃×C₄	—	2	1	no	—
1195	C₃×C₄	—	2	2	no	—
1196	C₃×C₄	—	2	1	no	—
1197	C₃×C₄	—	2	2	no	—
1198	C₃×C₄	—	2	1	no	—
1199	C₃×C₄	—	2	2	no	—
1200	C₃×C₄	—	2	1	no	—
1201	C₃×C₄	—	2	1	no	—
1202	C₃×C₄	—	2	1	no	—
1203	C₃×C₄	—	2	2	no	—
1204	C₃×C₄	—	3	2	no	—
1205	C₃×C₄	—	3	2	no	—
1206	C₃×C₄	—	4	2	no	—
1207	C₃×C₄	—	4	1	no	—
1208	C₃×C₄	—	4	1	no	—
1209	C₃×C₄	—	4	2	no	—
1210	C₃×C₄	—	4	2	no	—
1211	C₃×C₄	—	4	1	no	—
1212	C₃×C₄	—	4	1	no	—
1213	C₃×C₄	—	4	1	no	—
1214	C₃×C₄	—	6	1	no	—
1215	C₃×C₄	—	6	2	no	—
1216	C₃×C₄	—	6	1	no	—
1217	C₃×C₄	—	6	1	no	—
1218	C₃×C₄	—	6	2	no	—
1219	C₃×C₄	—	6	1	no	—
1220	C₃×C₄	—	6	2	no	—
1221	C₃×C₄	—	6	1	no	—
1222	C₃×C₄	C₂×D₃×Q₈	1	2	yes	—
1223	C₃×C₄	C₂²×C₃×Q₈	1	2	yes	—
1224	Dic₃	—	2	1	no	—
1225	Dic₃	—	2	2	no	—
1226	Dic₃	—	2	1	no	—
1227	Dic₃	—	2	2	no	—
1228	Dic₃	—	2	1	no	—
1229	Dic₃	—	2	1	no	—
1230	Dic₃	—	2	2	no	—
1231	Dic₃	—	2	1	no	—
1232	Dic₃	C₂²×C₃×Q₈	1	2	yes	—
1233	Dic₃	C₃×H(5,𝔽₂)	1	2	yes	—
1234	C₃²	#3501	1	1	yes	characteristic, complemented, Sylow
1235	C₂³	—	3	1	no	—
1236	C₂³	—	3	2	no	—
1237	C₂³	—	3	8	no	—
1238	C₂³	—	12	2	no	—
1239	C₂³	—	12	2	no	—
1240	C₂³	C₂³×C₃×D₃	1	2	yes	—
1241	Q₈	—	4	2	no	—
1242	Q₈	—	4	1	no	—
1243	Q₈	—	6	2	no	—
1244	Q₈	—	6	4	no	—
1245	Q₈	—	6	2	no	—
1246	Q₈	—	12	2	no	—
1247	Q₈	—	12	2	no	—
1248	Q₈	—	12	2	no	—
1249	Q₈	—	12	2	no	—
1250	Q₈	—	12	1	no	—
1251	D₄	—	3	8	no	—
1252	D₄	—	3	4	no	—
1253	D₄	C₃×D₃×Q₈	1	4	yes	complemented
1254	C₂×C₄	—	3	1	no	—
1255	C₂×C₄	—	3	1	no	—
1256	C₂×C₄	—	3	4	no	—
1257	C₂×C₄	—	3	1	no	—
1258	C₂×C₄	—	3	1	no	—
1259	C₂×C₄	—	3	2	no	—
1260	C₂×C₄	—	3	1	no	—
1261	C₂×C₄	—	3	1	no	—
1262	C₂×C₄	—	3	2	no	—
1263	C₂×C₄	—	3	1	no	—
1264	C₂×C₄	—	3	2	no	—
1265	C₂×C₄	—	4	2	no	—
1266	C₂×C₄	—	4	2	no	—
1267	C₂×C₄	—	4	2	no	—
1268	C₂×C₄	—	6	2	no	—
1269	C₂×C₄	—	6	4	no	—
1270	C₂×C₄	—	6	4	no	—
1271	C₂×C₄	—	12	2	no	—
1272	C₂×C₄	—	12	2	no	—
1273	C₂×C₄	—	12	2	no	—
1274	C₂×C₄	—	12	2	no	—
1275	C₂×C₄	—	12	2	no	—
1276	C₂×C₄	—	12	2	no	—
1277	C₂×C₄	—	12	1	no	—
1278	C₂×C₄	—	12	2	no	—
1279	C₂×C₄	—	12	2	no	—
1280	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1281	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1282	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1283	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1284	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1285	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1286	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1287	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1288	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1289	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1290	C₂×C₃	—	2	4	no	—
1291	C₂×C₃	—	2	4	no	—
1292	C₂×C₃	—	2	1	no	—
1293	C₂×C₃	—	2	1	no	—
1294	C₂×C₃	—	2	1	no	—
1295	C₂×C₃	—	4	4	no	—
1296	C₂×C₃	—	6	2	no	—
1297	C₂×C₃	—	6	4	no	—
1298	C₂×C₃	C₂²×D₃×Q₈	1	1	yes	characteristic
1299	C₂×C₃	#5964	1	1	yes	characteristic
1300	C₂×C₃	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1301	C₂×C₃	C₂³×C₃×Q₈	1	1	yes	characteristic
1302	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1303	C₂×C₃	C₃×#585	1	1	yes	characteristic
1304	D₃	—	2	2	no	—
1305	D₃	—	2	4	no	—
1306	C₂²	—	2	2	no	—
1307	C₂²	—	2	2	no	—
1308	C₂²	—	3	2	no	—
1309	C₂²	—	3	4	no	—
1310	C₂²	—	6	2	no	—
1311	C₂²	—	6	1	no	—
1312	C₂²	—	6	2	no	—
1313	C₂²	—	6	1	no	—
1314	C₂²	—	12	8	no	—
1315	C₂²	C₂×C₃×D₃×Q₈	1	4	yes	—
1316	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1317	C₄	—	2	1	no	—
1318	C₄	—	2	2	no	—
1319	C₄	—	2	1	no	—
1320	C₄	—	2	1	no	—
1321	C₄	—	2	1	no	—
1322	C₄	—	2	1	no	—
1323	C₄	—	2	2	no	—
1324	C₄	—	2	2	no	—
1325	C₄	—	2	1	no	—
1326	C₄	—	3	2	no	—
1327	C₄	—	3	2	no	—
1328	C₄	—	6	1	no	—
1329	C₄	—	6	2	no	—
1330	C₄	—	6	1	no	—
1331	C₄	—	6	1	no	—
1332	C₄	—	6	2	no	—
1333	C₄	—	6	1	no	—
1334	C₄	—	6	2	no	—
1335	C₄	—	6	1	no	—
1336	C₄	C₂×C₃×D₃×Q₈	1	2	yes	—
1337	C₃	—	2	1	no	—
1338	C₃	#86949	1	1	yes	characteristic, direct product factor
1339	C₃	C₃×#3501	1	1	yes	characteristic, complemented
1340	C₂	—	2	4	no	—
1341	C₂	—	6	2	no	—
1342	C₂	—	6	4	no	—
1343	C₂	C₂²×C₃×D₃×Q₈	1	1	yes	characteristic
1344	C₂	C₃×#5964	1	1	yes	characteristic
1345	C₂	C₃×D₃×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₃²×#554	C₂
socle	C₂²×C₃²	C₂⁵
prime radical	C₂×C₃×D₃×D₄	C₂²
hypercenter	C₃×#554	D₃
hypocenter	C₃	C₃×#3501
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#554

Complements

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

N	H ≅ G/N	type
1. C₃²×#554	C₂	semidirect
2. C₃×#5729	C₂	semidirect
3. C₃×#5727	C₂	semidirect
4. C₃×#5690	C₂	semidirect
5. C₃×#5690	C₂	semidirect
6. C₃×#5689	C₂	semidirect
7. C₃×#5688	C₂	semidirect
8. C₃×#5636	C₂	semidirect
9. C₃×#5636	C₂	semidirect
10. C₃×#5634	C₂	semidirect
11. C₃×#5634	C₂	semidirect
12. C₃×#5632	C₂	semidirect
13. C₃×D₃×C₂²⋊Q₈	C₂	semidirect
14. C₃×#5579	C₂	semidirect
15. C₃×#5578	C₂	semidirect
19. C₃×#5539	C₂	semidirect
20. C₃×#5539	C₂	semidirect
21. C₃×D₄×Dic₆	C₂	semidirect
22. C₃×#5511	C₂	semidirect
23. C₂×C₃×#896	C₂	semidirect
25. #86949	C₃	direct (N × H)
26. C₂×C₃×D₃×Q₈	C₂²	semidirect
29. C₂²×C₃×Dic₆	C₂²	semidirect
30. C₃²×C₄⋊Q₈	C₂²	semidirect
31. C₃²×#125	C₂²	semidirect
32. C₃²×#125	C₂²	semidirect
33. C₃²×C₂²⋊Q₈	C₂²	semidirect
34. C₃²×C₂²⋊Q₈	C₂²	semidirect
35. C₃²×C₂²⋊Q₈	C₂²	semidirect
36. C₃²×C₄×Q₈	C₂²	semidirect
40. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
43. C₃×#946	C₂²	semidirect
44. C₃×#946	C₂²	semidirect
45. C₃×#944	C₂²	semidirect
46. C₃×#944	C₂²	semidirect
55. C₃×#924	C₂²	semidirect
56. C₃×#924	C₂²	semidirect
57. C₃×#924	C₂²	semidirect
58. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
59. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
62. C₃×#897	C₂²	semidirect
63. C₃×#897	C₂²	semidirect
70. C₃×#896	C₂²	semidirect
71. C₃×#896	C₂²	semidirect
72. C₃×#896	C₂²	semidirect
73. C₃×#896	C₂²	semidirect
74. C₃×#896	C₂²	semidirect
75. C₃×#896	C₂²	semidirect
76. C₃×#896	C₂²	semidirect
77. C₃×#896	C₂²	semidirect
84. C₃×D₃×C₄⋊C₄	C₂²	semidirect
85. C₃×D₃×C₄⋊C₄	C₂²	semidirect
86. C₃×D₃×C₄⋊C₄	C₂²	semidirect
87. C₃×#890	C₂²	semidirect
88. C₃×#890	C₂²	semidirect
89. C₃×#889	C₂²	semidirect
90. C₃×#889	C₂²	semidirect
91. C₃×#889	C₂²	semidirect
92. C₃×#889	C₂²	semidirect
93. C₃×#888	C₂²	semidirect
94. C₃×#888	C₂²	semidirect
95. C₃×#888	C₂²	semidirect
96. C₃×#888	C₂²	semidirect
97. C₃×#888	C₂²	semidirect
98. C₃×#888	C₂²	semidirect
99. C₃×#887	C₂²	semidirect
100. C₃×#887	C₂²	semidirect
107. C₃×#878	C₂²	semidirect
108. C₃×#878	C₂²	semidirect
109. C₃×#878	C₂²	semidirect
110. C₃×#878	C₂²	semidirect
111. C₃×#878	C₂²	semidirect
112. C₃×#878	C₂²	semidirect
119. C₃×#870	C₂²	semidirect
120. C₃×#870	C₂²	semidirect
121. C₃×#869	C₂²	semidirect
122. C₃×C₄×Dic₆	C₂²	semidirect
123. C₃×C₄×Dic₆	C₂²	semidirect
124. C₃×C₄×Dic₆	C₂²	semidirect
134. C₃×#554	D₃	semidirect
135. C₃×#554	C₂×C₃	semidirect
150. #5729	C₂×C₃	semidirect
151. #5727	C₂×C₃	semidirect
152. #5690	C₂×C₃	semidirect
153. #5690	C₂×C₃	semidirect
154. #5689	C₂×C₃	semidirect
155. #5688	C₂×C₃	semidirect
156. #5636	C₂×C₃	semidirect
157. #5636	C₂×C₃	semidirect
158. #5634	C₂×C₃	semidirect
159. #5634	C₂×C₃	semidirect
160. #5632	C₂×C₃	semidirect
161. D₃×C₂²⋊Q₈	C₂×C₃	semidirect
162. #5579	C₂×C₃	semidirect
163. #5578	C₂×C₃	semidirect
167. #5539	C₂×C₃	semidirect
168. #5539	C₂×C₃	semidirect
169. D₄×Dic₆	C₂×C₃	semidirect
170. #5511	C₂×C₃	semidirect
171. C₂×#896	C₂×C₃	semidirect
184. C₃×D₃×D₄	Q₈	semidirect
280. C₂×D₃×Q₈	C₂²×C₃	semidirect
283. C₂²×Dic₆	C₂²×C₃	semidirect
294. C₃×C₄⋊Q₈	C₂×D₃	semidirect
295. C₃×C₄⋊Q₈	C₂²×C₃	semidirect
306. C₃×#125	C₂×D₃	semidirect
307. C₃×#125	C₂×D₃	semidirect
308. C₃×#125	C₂²×C₃	semidirect
309. C₃×#125	C₂²×C₃	semidirect
344. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
345. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
346. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
347. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
348. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
349. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
356. C₃×C₄×Q₈	C₂×D₃	semidirect
357. C₃×C₄×Q₈	C₂²×C₃	semidirect
393. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
394. C₂×C₃×C₄⋊C₄	C₂²×C₃	semidirect
403. #946	C₂²×C₃	semidirect
404. #946	C₂²×C₃	semidirect
405. #944	C₂²×C₃	semidirect
406. #944	C₂²×C₃	semidirect
415. #924	C₂²×C₃	semidirect
416. #924	C₂²×C₃	semidirect
417. #924	C₂²×C₃	semidirect
418. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
419. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
422. #897	C₂²×C₃	semidirect
423. #897	C₂²×C₃	semidirect
430. #896	C₂²×C₃	semidirect
431. #896	C₂²×C₃	semidirect
432. #896	C₂²×C₃	semidirect
433. #896	C₂²×C₃	semidirect
434. #896	C₂²×C₃	semidirect
435. #896	C₂²×C₃	semidirect
436. #896	C₂²×C₃	semidirect
437. #896	C₂²×C₃	semidirect
444. D₃×C₄⋊C₄	C₂²×C₃	semidirect
445. D₃×C₄⋊C₄	C₂²×C₃	semidirect
446. D₃×C₄⋊C₄	C₂²×C₃	semidirect
447. #890	C₂²×C₃	semidirect
448. #890	C₂²×C₃	semidirect
449. #889	C₂²×C₃	semidirect
450. #889	C₂²×C₃	semidirect
451. #889	C₂²×C₃	semidirect
452. #889	C₂²×C₃	semidirect
453. #888	C₂²×C₃	semidirect
454. #888	C₂²×C₃	semidirect
455. #888	C₂²×C₃	semidirect
456. #888	C₂²×C₃	semidirect
457. #888	C₂²×C₃	semidirect
458. #888	C₂²×C₃	semidirect
459. #887	C₂²×C₃	semidirect
460. #887	C₂²×C₃	semidirect
467. #878	C₂²×C₃	semidirect
468. #878	C₂²×C₃	semidirect
469. #878	C₂²×C₃	semidirect
470. #878	C₂²×C₃	semidirect
471. #878	C₂²×C₃	semidirect
472. #878	C₂²×C₃	semidirect
479. #870	C₂²×C₃	semidirect
480. #870	C₂²×C₃	semidirect
481. #869	C₂²×C₃	semidirect
482. C₄×Dic₆	C₂²×C₃	semidirect
483. C₄×Dic₆	C₂²×C₃	semidirect
484. C₄×Dic₆	C₂²×C₃	semidirect
488. C₂²×C₃×D₃	C₂×Q₈	semidirect
493. C₃²×D₄	C₂×Q₈	semidirect
507. C₃×#67	C₂×Q₈	semidirect
521. C₃×D₁₂	C₂×Q₈	semidirect
531. C₃×C₄×D₃	C₂×Q₈	semidirect
548. #554	C₃×D₃	semidirect
615. D₃×D₄	C₃×Q₈	semidirect
836. C₄⋊Q₈	C₂×C₃×D₃	semidirect
845. #125	C₂×C₃×D₃	semidirect
846. #125	C₂×C₃×D₃	semidirect
878. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
879. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
880. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
886. C₄×Q₈	C₂×C₃×D₃	semidirect
915. C₂×C₄⋊C₄	C₂×C₃×D₃	semidirect
932. C₂²×D₃	C₂×C₃×Q₈	semidirect
952. C₃×D₄	D₃×Q₈	semidirect
953. C₃×D₄	C₂×C₃×Q₈	semidirect
1016. #67	C₂×C₃×Q₈	semidirect
1030. D₁₂	C₂×C₃×Q₈	semidirect
1040. C₄×D₃	C₂×C₃×Q₈	semidirect
1234. C₃²	#3501	semidirect
1253. D₄	C₃×D₃×Q₈	semidirect
1338. C₃	#86949	direct (N × H)
1339. C₃	C₃×#3501	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#554	2
C₃×#5729	2
C₃×#5727	2
C₃×#5690	2
C₃×#5689	2
C₃×#5688	2
C₃×#5636	2
C₃×#5634	2
C₃×#5632	2
C₃×D₃×C₂²⋊Q₈	2
C₃×#5579	2
C₃×#5578	2
C₃×#5545	2
C₃×C₄×D₃×D₄	2
C₃×#5539	2
C₃×D₄×Dic₆	2
C₃×#5511	2
C₂×C₃×#896	2
C₃×#3501	3
#86949	3

Subgroups — C3×#86949 #11906166

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86949 #11906166