Subgroups — C₃×#86414 #11904843

Order 1152.

2781 conjugacy classes of subgroups.

The subgroup lattice has 1391 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#538	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5705	C₂	1	2	yes	maximal, complemented
3	C₃×#5705	C₂	1	2	yes	maximal, complemented
4	C₃×#5679	C₂	1	2	yes	maximal, complemented
5	C₃×#5676	C₂	1	2	yes	maximal, complemented
6	C₃×#5659	C₂	1	2	yes	maximal, complemented
7	C₃×#5654	C₂	1	2	yes	maximal, complemented
8	C₃×#5634	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5627	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5612	C₂	1	2	yes	maximal, complemented
11	C₃×#5610	C₂	1	2	yes	maximal, complemented
12	C₃×#5606	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5605	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5593	C₂	1	2	yes	maximal, complemented
15	C₃×D₃×#120	C₂	1	2	yes	maximal, complemented
16	C₃×#5547	C₂	1	2	yes	maximal, complemented
17	C₃×#5545	C₂	1	2	yes	maximal, complemented
18	C₃×#5494	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₃×D₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3490	—	3	1	no	maximal
21	#86414	C₃	1	1	yes	maximal, characteristic, direct product factor
22	C₂⁴×C₃×D₃	C₂²	1	1	yes	characteristic
23	C₂×C₃×#239	C₂²	1	1	yes	characteristic, complemented
24	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
25	C₂×C₃×D₃×D₄	C₂²	1	2	yes	—
26	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
27	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
28	C₂×C₃×#235	C₂²	1	2	yes	complemented
29	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic, complemented
30	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic, complemented
31	C₃²×#126	C₂²	1	2	yes	complemented
32	C₃²×#124	C₂²	1	2	yes	complemented
33	C₃²×#123	C₂²	1	2	yes	complemented
34	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₃²×#121	C₂²	1	2	yes	complemented
36	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
37	C₃²×#120	C₂²	1	2	yes	complemented
38	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
39	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
40	C₃×#953	C₂²	1	2	yes	complemented
41	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
42	C₃×#946	C₂²	1	1	yes	characteristic, complemented
43	C₃×#946	C₂²	1	2	yes	complemented
44	C₃×#939	C₂²	1	2	yes	complemented
45	C₃×#939	C₂²	1	2	yes	complemented
46	C₃×#938	C₂²	1	2	yes	complemented
47	C₃×#938	C₂²	1	1	yes	characteristic, complemented
48	C₃×#937	C₂²	1	2	yes	—
49	C₃×#937	C₂²	1	2	yes	—
50	C₃×#937	C₂²	1	2	yes	complemented
51	C₃×#937	C₂²	1	2	yes	complemented
52	C₃×#936	C₂²	1	2	yes	complemented
53	C₃×#935	C₂²	1	2	yes	complemented
54	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
55	C₃×#930	C₂²	1	1	yes	characteristic, complemented
56	C₃×C₄×#67	C₂²	1	2	yes	complemented
57	C₃×C₄×#67	C₂²	1	2	yes	complemented
58	C₃×C₄×#67	C₂²	1	2	yes	complemented
59	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
60	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
61	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
62	C₃×#924	C₂²	1	1	yes	characteristic, complemented
63	C₃×#897	C₂²	1	1	yes	characteristic, complemented
64	C₃×#897	C₂²	1	2	yes	complemented
65	C₃×#896	C₂²	1	2	yes	complemented
66	C₃×#896	C₂²	1	2	yes	complemented
67	C₃×#896	C₂²	1	2	yes	complemented
68	C₃×#895	C₂²	1	1	yes	characteristic, complemented
69	C₃×#894	C₂²	1	2	yes	complemented
70	C₃×#894	C₂²	1	2	yes	complemented
71	C₃×#894	C₂²	1	2	yes	complemented
72	C₃×#893	C₂²	1	2	yes	complemented
73	C₃×#893	C₂²	1	2	yes	complemented
74	C₃×#892	C₂²	1	2	yes	complemented
75	C₃×#892	C₂²	1	1	yes	characteristic, complemented
76	C₃×#892	C₂²	1	1	yes	characteristic, complemented
77	C₃×#885	C₂²	1	2	yes	complemented
78	C₃×#885	C₂²	1	2	yes	complemented
79	C₃×#884	C₂²	1	2	yes	complemented
80	C₃×#884	C₂²	1	2	yes	complemented
81	C₃×#883	C₂²	1	2	yes	complemented
82	C₃×#883	C₂²	1	2	yes	complemented
83	C₃×#883	C₂²	1	2	yes	complemented
84	C₃×#883	C₂²	1	2	yes	complemented
85	C₃×#883	C₂²	1	2	yes	complemented
86	C₃×#882	C₂²	1	2	yes	—
87	C₃×#882	C₂²	1	2	yes	—
88	C₃×#882	C₂²	1	2	yes	complemented
89	C₃×#882	C₂²	1	2	yes	complemented
90	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
91	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
92	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
93	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
94	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
95	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
96	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
97	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
98	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
99	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
100	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
101	C₃×#879	C₂²	1	2	yes	complemented
102	C₃×#879	C₂²	1	2	yes	complemented
103	C₃×#879	C₂²	1	2	yes	complemented
104	C₃×#878	C₂²	1	2	yes	complemented
105	C₃×C₄×D₁₂	C₂²	1	2	yes	complemented
106	C₃×C₄×D₁₂	C₂²	1	2	yes	complemented
107	C₃×#872	C₂²	1	2	yes	complemented
108	C₃×#872	C₂²	1	2	yes	complemented
109	C₃×#551	—	3	2	no	—
110	C₃×#551	—	3	2	no	—
111	C₃×#551	—	3	2	no	—
112	C₃×#551	—	3	2	no	—
113	C₃×#546	—	3	2	no	—
114	C₃×#546	—	3	2	no	—
115	C₃×#546	—	3	2	no	—
116	C₃×#546	—	3	2	no	—
117	C₃×#543	—	3	1	no	—
118	C₃×#538	—	2	1	no	—
119	C₃×#538	—	3	2	no	—
120	C₃×#538	—	3	1	no	—
121	C₃×#538	D₃	1	1	yes	characteristic, complemented
122	C₃×#538	C₂×C₃	1	1	yes	characteristic, complemented
123	C₃×#534	—	3	1	no	—
124	C₃×#525	—	3	1	no	—
125	C₃×#525	—	3	1	no	—
126	C₃×#525	—	3	2	no	—
127	C₂×C₃×#120	—	3	2	no	—
128	C₃×#518	—	3	2	no	—
129	C₂²×C₃×C₂²⋊C₄	—	3	1	no	—
130	#5705	C₂×C₃	1	2	yes	complemented
131	#5705	C₂×C₃	1	2	yes	complemented
132	#5679	C₂×C₃	1	2	yes	complemented
133	#5676	C₂×C₃	1	2	yes	complemented
134	#5659	C₂×C₃	1	2	yes	complemented
135	#5654	C₂×C₃	1	2	yes	complemented
136	#5634	C₂×C₃	1	1	yes	characteristic, complemented
137	#5627	C₂×C₃	1	1	yes	characteristic, complemented
138	#5612	C₂×C₃	1	2	yes	complemented
139	#5610	C₂×C₃	1	2	yes	complemented
140	#5606	C₂×C₃	1	1	yes	characteristic, complemented
141	#5605	C₂×C₃	1	1	yes	characteristic, complemented
142	#5593	C₂×C₃	1	2	yes	complemented
143	D₃×#120	C₂×C₃	1	2	yes	complemented
144	#5547	C₂×C₃	1	2	yes	complemented
145	#5545	C₂×C₃	1	2	yes	complemented
146	#5494	C₂×C₃	1	1	yes	characteristic, complemented
147	C₂×D₃×C₂²⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
148	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
149	C₂³×C₃×D₃	—	2	4	no	—
150	C₂³×C₃×D₃	—	4	2	no	—
151	C₂³×C₃×D₃	—	4	2	no	—
152	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
153	C₂³×C₃×D₃	C₂³	1	2	yes	—
154	C₂³×C₃×D₃	C₂³	1	2	yes	—
155	C₂³×C₃×D₃	C₂³	1	2	yes	—
156	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
157	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic, complemented
158	C₂×C₃²×D₄	C₂³	1	2	yes	—
159	C₂×C₃²×D₄	C₂³	1	2	yes	—
160	C₂×C₃²×D₄	C₂³	1	2	yes	—
161	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic, complemented
162	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
163	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
164	C₂²×C₃²×C₄	C₂³	1	2	yes	complemented
165	C₂×C₃×#67	C₂³	1	2	yes	—
166	C₂×C₃×#67	C₂³	1	2	yes	—
167	C₂×C₃×#67	C₂³	1	2	yes	—
168	C₂×C₃×#67	C₂³	1	2	yes	—
169	C₂×C₃×#67	C₂³	1	2	yes	—
170	C₂×C₃×#67	C₂³	1	2	yes	—
171	C₂×C₃×#67	C₂³	1	2	yes	complemented
172	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
173	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
174	C₂²×C₃×Dic₃	C₂³	1	2	yes	complemented
175	C₃×#239	—	4	2	no	—
176	C₃×#237	—	4	2	no	—
177	C₃×D₃×D₄	—	2	8	no	—
178	C₃×D₃×D₄	—	4	4	no	—
179	C₃×D₃×D₄	—	4	4	no	—
180	C₃×#235	—	4	4	no	—
181	C₂×C₃×D₁₂	C₂³	1	2	yes	—
182	C₂×C₃×D₁₂	C₂³	1	2	yes	—
183	C₂×C₃×D₁₂	C₂³	1	2	yes	—
184	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic, complemented
185	C₂×C₃×C₄×D₃	—	4	2	no	—
186	C₂×C₃×C₄×D₃	—	4	2	no	—
187	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
188	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
189	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
190	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
194	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
195	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
196	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
197	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
198	C₂×C₃×Dic₆	C₂³	1	2	yes	complemented
199	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic, complemented
200	C₃²×C₄⋊C₄	C₂³	1	2	yes	complemented
201	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
202	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
203	C₃²×C₄⋊C₄	C₂³	1	2	yes	complemented
204	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
206	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₃²×C₂²⋊C₄	C₂³	1	2	yes	complemented
210	C₃²×C₂²⋊C₄	C₂³	1	2	yes	complemented
211	C₃²×C₄²	C₂³	1	2	yes	complemented
212	C₃×#217	C₂³	1	2	yes	—
213	C₃×#217	C₂³	1	2	yes	—
214	C₃×#217	C₂³	1	2	yes	—
215	C₃×#217	C₂³	1	2	yes	—
216	C₃×#217	C₂³	1	2	yes	—
217	C₃×#217	C₂³	1	2	yes	complemented
218	C₃×#217	C₂³	1	2	yes	complemented
219	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
220	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
221	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
222	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
223	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
224	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
225	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
226	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
227	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
228	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
229	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
230	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
231	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
232	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
233	C₃×C₄⋊Dic₃	C₂³	1	2	yes	complemented
234	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
235	C₃×C₄⋊Dic₃	C₂³	1	2	yes	complemented
236	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
237	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
238	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
239	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
240	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
241	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
242	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
243	C₃×C₄×Dic₃	C₂³	1	2	yes	complemented
244	C₃×C₄×Dic₃	C₂³	1	2	yes	complemented
245	C₃×C₄×Dic₃	C₂³	1	2	yes	complemented
246	#3490	—	3	1	no	Sylow
247	C₂⁵×C₃	—	3	1	no	—
248	C₂⁴×D₃	C₂²×C₃	1	1	yes	characteristic
249	C₂×C₃×#41	—	3	1	no	—
250	C₂×C₃×#41	—	3	1	no	—
251	C₂×C₃×#41	—	3	2	no	—
252	C₂²×C₃×D₄	—	3	2	no	—
253	C₂²×C₃×D₄	—	3	2	no	—
254	C₂²×C₃×D₄	—	3	2	no	—
255	C₂³×C₃×C₄	—	3	1	no	—
256	C₂³×C₃×C₄	—	3	1	no	—
257	C₂×#239	C₂²×C₃	1	1	yes	characteristic, complemented
258	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
259	C₂×D₃×D₄	C₂²×C₃	1	2	yes	—
260	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
261	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
262	C₂×#235	C₂²×C₃	1	2	yes	complemented
263	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
264	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
265	C₃×#126	—	2	2	no	—
266	C₃×#126	—	3	2	no	—
267	C₃×#126	—	3	2	no	—
268	C₃×#126	—	3	2	no	—
269	C₃×#126	C₂×D₃	1	2	yes	complemented
270	C₃×#126	C₂²×C₃	1	2	yes	complemented
271	C₃×#124	—	2	2	no	—
272	C₃×#124	—	3	2	no	—
273	C₃×#124	—	3	2	no	—
274	C₃×#124	—	3	2	no	—
275	C₃×#124	C₂×D₃	1	2	yes	complemented
276	C₃×#124	C₂²×C₃	1	2	yes	complemented
277	C₃×#123	—	2	2	no	—
278	C₃×#123	—	3	2	no	—
279	C₃×#123	—	3	2	no	—
280	C₃×#123	—	3	2	no	—
281	C₃×#123	—	3	2	no	—
282	C₃×#123	—	3	2	no	—
283	C₃×#123	—	3	2	no	—
284	C₃×#123	—	3	2	no	—
285	C₃×#123	—	3	2	no	—
286	C₃×#123	—	3	2	no	—
287	C₃×#123	C₂×D₃	1	2	yes	complemented
288	C₃×#123	C₂²×C₃	1	2	yes	complemented
289	C₃×C₂²⋊Q₈	—	2	1	no	—
290	C₃×C₂²⋊Q₈	—	3	1	no	—
291	C₃×C₂²⋊Q₈	—	3	2	no	—
292	C₃×C₂²⋊Q₈	—	3	1	no	—
293	C₃×C₂²⋊Q₈	—	3	2	no	—
294	C₃×C₂²⋊Q₈	—	3	2	no	—
295	C₃×C₂²⋊Q₈	—	3	2	no	—
296	C₃×C₂²⋊Q₈	—	3	1	no	—
297	C₃×C₂²⋊Q₈	—	3	2	no	—
298	C₃×C₂²⋊Q₈	—	3	2	no	—
299	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
300	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
301	C₃×#121	—	2	2	no	—
302	C₃×#121	—	2	1	no	—
303	C₃×#121	—	3	2	no	—
304	C₃×#121	—	3	2	no	—
305	C₃×#121	—	3	2	no	—
306	C₃×#121	—	3	1	no	—
307	C₃×#121	—	3	1	no	—
308	C₃×#121	—	3	1	no	—
309	C₃×#121	—	3	2	no	—
310	C₃×#121	—	3	2	no	—
311	C₃×#121	C₂×D₃	1	2	yes	complemented
312	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
313	C₃×#121	C₂²×C₃	1	2	yes	complemented
314	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
315	C₃×#120	—	2	2	no	—
316	C₃×#120	—	3	2	no	—
317	C₃×#120	—	3	2	no	—
318	C₃×#120	—	3	2	no	—
319	C₃×#120	—	3	2	no	—
320	C₃×#120	—	3	2	no	—
321	C₃×#120	—	3	2	no	—
322	C₃×#120	—	3	2	no	—
323	C₃×#120	—	3	2	no	—
324	C₃×#120	—	3	2	no	—
325	C₃×#120	C₂×D₃	1	2	yes	complemented
326	C₃×#120	C₂²×C₃	1	2	yes	complemented
327	C₃×C₄×D₄	—	2	2	no	—
328	C₃×C₄×D₄	—	3	2	no	—
329	C₃×C₄×D₄	—	3	2	no	—
330	C₃×C₄×D₄	—	3	2	no	—
331	C₃×C₄×D₄	—	3	2	no	—
332	C₃×C₄×D₄	—	3	2	no	—
333	C₃×C₄×D₄	—	3	2	no	—
334	C₃×C₄×D₄	—	3	2	no	—
335	C₃×C₄×D₄	—	3	2	no	—
336	C₃×C₄×D₄	—	3	2	no	—
337	C₃×C₄×D₄	—	3	2	no	—
338	C₃×C₄×D₄	—	3	2	no	—
339	C₃×C₄×D₄	C₂×D₃	1	2	yes	complemented
340	C₃×C₄×D₄	C₂²×C₃	1	2	yes	complemented
341	C₃×#117	—	3	2	no	—
342	C₃×#117	—	3	1	no	—
343	C₃×#117	—	3	1	no	—
344	C₃×#117	—	3	2	no	—
345	C₃×#117	—	3	2	no	—
346	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
347	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
348	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
349	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
350	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
351	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
352	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
353	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
354	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
355	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
356	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
357	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
358	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
359	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
360	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
361	#953	C₂²×C₃	1	2	yes	complemented
362	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
363	#946	C₂²×C₃	1	2	yes	complemented
364	#946	C₂²×C₃	1	1	yes	characteristic, complemented
365	#939	C₂²×C₃	1	2	yes	complemented
366	#939	C₂²×C₃	1	2	yes	complemented
367	#938	C₂²×C₃	1	2	yes	complemented
368	#938	C₂²×C₃	1	1	yes	characteristic, complemented
369	#937	C₂²×C₃	1	2	yes	—
370	#937	C₂²×C₃	1	2	yes	—
371	#937	C₂²×C₃	1	2	yes	complemented
372	#937	C₂²×C₃	1	2	yes	complemented
373	#936	C₂²×C₃	1	2	yes	complemented
374	#935	C₂²×C₃	1	2	yes	complemented
375	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
376	#930	C₂²×C₃	1	1	yes	characteristic, complemented
377	C₄×#67	C₂²×C₃	1	2	yes	complemented
378	C₄×#67	C₂²×C₃	1	2	yes	complemented
379	C₄×#67	C₂²×C₃	1	2	yes	complemented
380	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
381	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
382	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
383	#924	C₂²×C₃	1	1	yes	characteristic, complemented
384	#897	C₂²×C₃	1	2	yes	complemented
385	#897	C₂²×C₃	1	1	yes	characteristic, complemented
386	#896	C₂²×C₃	1	2	yes	complemented
387	#896	C₂²×C₃	1	2	yes	complemented
388	#896	C₂²×C₃	1	2	yes	complemented
389	#895	C₂²×C₃	1	1	yes	characteristic, complemented
390	#894	C₂²×C₃	1	2	yes	complemented
391	#894	C₂²×C₃	1	2	yes	complemented
392	#894	C₂²×C₃	1	2	yes	complemented
393	#893	C₂²×C₃	1	2	yes	complemented
394	#893	C₂²×C₃	1	2	yes	complemented
395	#892	C₂²×C₃	1	1	yes	characteristic, complemented
396	#892	C₂²×C₃	1	2	yes	complemented
397	#892	C₂²×C₃	1	1	yes	characteristic, complemented
398	#885	C₂²×C₃	1	2	yes	complemented
399	#885	C₂²×C₃	1	2	yes	complemented
400	#884	C₂²×C₃	1	2	yes	complemented
401	#884	C₂²×C₃	1	2	yes	complemented
402	#883	C₂²×C₃	1	2	yes	complemented
403	#883	C₂²×C₃	1	2	yes	complemented
404	#883	C₂²×C₃	1	2	yes	complemented
405	#883	C₂²×C₃	1	2	yes	complemented
406	#883	C₂²×C₃	1	2	yes	complemented
407	#882	C₂²×C₃	1	2	yes	—
408	#882	C₂²×C₃	1	2	yes	—
409	#882	C₂²×C₃	1	2	yes	complemented
410	#882	C₂²×C₃	1	2	yes	complemented
411	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
412	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
413	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
414	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
415	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
416	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
417	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
418	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
419	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
420	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
421	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
422	#879	C₂²×C₃	1	2	yes	complemented
423	#879	C₂²×C₃	1	2	yes	complemented
424	#879	C₂²×C₃	1	2	yes	complemented
425	#878	C₂²×C₃	1	2	yes	complemented
426	C₄×D₁₂	C₂²×C₃	1	2	yes	complemented
427	C₄×D₁₂	C₂²×C₃	1	2	yes	complemented
428	#872	C₂²×C₃	1	2	yes	complemented
429	#872	C₂²×C₃	1	2	yes	complemented
430	C₂³×C₃²	—	2	2	no	—
431	C₂³×C₃²	—	4	1	no	—
432	C₂³×C₃²	—	4	1	no	—
433	C₂³×C₃²	C₂⁴	1	2	yes	—
434	C₂³×C₃²	C₂⁴	1	2	yes	—
435	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
436	C₂²×C₃×D₃	—	2	2	no	—
437	C₂²×C₃×D₃	—	2	2	no	—
438	C₂²×C₃×D₃	—	2	2	no	—
439	C₂²×C₃×D₃	—	2	4	no	—
440	C₂²×C₃×D₃	—	2	4	no	—
441	C₂²×C₃×D₃	—	2	4	no	—
442	C₂²×C₃×D₃	—	2	4	no	—
443	C₂²×C₃×D₃	—	2	4	no	—
444	C₂²×C₃×D₃	—	4	2	no	—
445	C₂²×C₃×D₃	—	4	2	no	—
446	C₂²×C₃×D₃	—	4	1	no	—
447	C₂²×C₃×D₃	—	4	1	no	—
448	C₂²×C₃×D₃	—	4	2	no	—
449	C₂²×C₃×D₃	—	4	2	no	—
450	C₂²×C₃×D₃	—	4	16	no	—
451	C₂²×C₃×D₃	#41	1	4	yes	complemented
452	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
453	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
454	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
456	C₃²×Q₈	—	4	1	no	—
457	C₃²×D₄	—	2	4	no	—
458	C₃²×D₄	—	4	2	no	—
459	C₃²×D₄	—	4	2	no	—
460	C₃²×D₄	—	4	1	no	—
461	C₂×C₃²×C₄	—	4	1	no	—
462	C₂×C₃²×C₄	—	4	1	no	—
463	C₂×C₃²×C₄	—	4	2	no	—
464	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
465	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
466	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
467	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
468	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
469	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
470	C₃×#67	—	2	4	no	—
471	C₃×#67	—	2	4	no	—
472	C₃×#67	—	2	4	no	—
473	C₃×#67	—	2	4	no	—
474	C₃×#67	—	4	2	no	—
475	C₃×#67	—	4	2	no	—
476	C₃×#67	—	4	2	no	—
477	C₂×C₃×Dic₃	—	4	1	no	—
478	C₂×C₃×Dic₃	—	4	1	no	—
479	C₂×C₃×Dic₃	—	4	2	no	—
480	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
481	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
482	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
483	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
484	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
485	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
486	C₃×D₁₂	—	2	4	no	—
487	C₃×D₁₂	—	2	4	no	—
488	C₃×D₁₂	—	2	4	no	—
489	C₃×D₁₂	—	4	1	no	—
490	C₃×C₄×D₃	—	2	4	no	—
491	C₃×C₄×D₃	—	2	4	no	—
492	C₃×C₄×D₃	—	2	2	no	—
493	C₃×C₄×D₃	—	2	2	no	—
494	C₃×C₄×D₃	—	4	2	no	—
495	C₃×C₄×D₃	—	4	1	no	—
496	C₃×C₄×D₃	—	4	1	no	—
497	C₃×C₄×D₃	—	4	2	no	—
498	C₃×C₄×D₃	—	4	2	no	—
499	C₃×C₄×D₃	—	4	2	no	—
500	C₃×C₄×D₃	—	4	2	no	—
501	C₃×Dic₆	—	4	2	no	—
502	C₃×Dic₆	—	4	1	no	—
503	#551	—	3	2	no	—
504	#551	—	3	2	no	—
505	#551	—	3	2	no	—
506	#551	—	3	2	no	—
507	#546	—	3	2	no	—
508	#546	—	3	2	no	—
509	#546	—	3	2	no	—
510	#546	—	3	2	no	—
511	#543	—	3	1	no	—
512	#538	—	3	2	no	—
513	#538	—	3	1	no	—
514	#538	C₃×D₃	1	1	yes	characteristic, complemented
515	#534	—	3	1	no	—
516	#525	—	3	1	no	—
517	#525	—	3	1	no	—
518	#525	—	3	2	no	—
519	C₂×#120	—	3	2	no	—
520	#518	—	3	2	no	—
521	C₂²×C₂²⋊C₄	—	3	1	no	—
522	C₂⁴×C₃	—	2	1	no	—
523	C₂⁴×C₃	—	3	1	no	—
524	C₂⁴×C₃	—	3	1	no	—
525	C₂⁴×C₃	—	3	2	no	—
526	C₂⁴×C₃	—	3	2	no	—
527	C₂⁴×C₃	—	3	2	no	—
528	C₂⁴×C₃	—	6	4	no	—
529	C₂⁴×C₃	—	12	2	no	—
530	C₂⁴×C₃	—	12	2	no	—
531	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
532	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
533	C₂³×D₃	—	2	4	no	—
534	C₂³×D₃	—	4	2	no	—
535	C₂³×D₃	—	4	2	no	—
536	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
537	C₂³×D₃	C₂³×C₃	1	2	yes	—
538	C₂³×D₃	C₂³×C₃	1	2	yes	—
539	C₂³×D₃	C₂³×C₃	1	2	yes	—
540	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
541	C₃×#41	—	12	4	no	—
542	C₃×#41	—	12	2	no	—
543	C₃×#41	—	12	2	no	—
544	C₂×C₃×Q₈	—	2	1	no	—
545	C₂×C₃×Q₈	—	3	1	no	—
546	C₂×C₃×Q₈	—	3	2	no	—
547	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
548	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
549	C₂×C₃×D₄	—	2	2	no	—
550	C₂×C₃×D₄	—	2	2	no	—
551	C₂×C₃×D₄	—	2	2	no	—
552	C₂×C₃×D₄	—	2	1	no	—
553	C₂×C₃×D₄	—	3	2	no	—
554	C₂×C₃×D₄	—	3	2	no	—
555	C₂×C₃×D₄	—	3	2	no	—
556	C₂×C₃×D₄	—	3	2	no	—
557	C₂×C₃×D₄	—	3	2	no	—
558	C₂×C₃×D₄	—	3	2	no	—
559	C₂×C₃×D₄	—	3	2	no	—
560	C₂×C₃×D₄	—	3	2	no	—
561	C₂×C₃×D₄	—	3	2	no	—
562	C₂×C₃×D₄	—	3	2	no	—
563	C₂×C₃×D₄	—	3	1	no	—
564	C₂×C₃×D₄	—	6	8	no	—
565	C₂×C₃×D₄	—	12	4	no	—
566	C₂×C₃×D₄	—	12	4	no	—
567	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
568	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
569	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
570	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic, complemented
571	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
572	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
573	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
574	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
575	C₂²×C₃×C₄	—	2	1	no	—
576	C₂²×C₃×C₄	—	2	1	no	—
577	C₂²×C₃×C₄	—	2	2	no	—
578	C₂²×C₃×C₄	—	3	1	no	—
579	C₂²×C₃×C₄	—	3	1	no	—
580	C₂²×C₃×C₄	—	3	2	no	—
581	C₂²×C₃×C₄	—	3	2	no	—
582	C₂²×C₃×C₄	—	3	1	no	—
583	C₂²×C₃×C₄	—	3	1	no	—
584	C₂²×C₃×C₄	—	3	2	no	—
585	C₂²×C₃×C₄	—	3	1	no	—
586	C₂²×C₃×C₄	—	3	1	no	—
587	C₂²×C₃×C₄	—	3	2	no	—
588	C₂²×C₃×C₄	—	3	2	no	—
589	C₂²×C₃×C₄	—	3	2	no	—
590	C₂²×C₃×C₄	—	3	2	no	—
591	C₂²×C₃×C₄	—	3	2	no	—
592	C₂²×C₃×C₄	—	12	2	no	—
593	C₂²×C₃×C₄	—	12	2	no	—
594	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
595	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
596	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	complemented
597	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
598	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
599	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	complemented
600	C₂×#67	C₂³×C₃	1	2	yes	—
601	C₂×#67	C₂³×C₃	1	2	yes	—
602	C₂×#67	C₂³×C₃	1	2	yes	—
603	C₂×#67	C₂³×C₃	1	2	yes	—
604	C₂×#67	C₂³×C₃	1	2	yes	—
605	C₂×#67	C₂³×C₃	1	2	yes	—
606	C₂×#67	C₂³×C₃	1	2	yes	complemented
607	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
608	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
609	C₂²×Dic₃	C₂³×C₃	1	2	yes	complemented
610	#239	—	4	2	no	—
611	#237	—	4	2	no	—
612	D₃×D₄	—	2	8	no	—
613	D₃×D₄	—	4	4	no	—
614	D₃×D₄	—	4	4	no	—
615	#235	—	4	4	no	—
616	C₂×D₁₂	C₂³×C₃	1	2	yes	—
617	C₂×D₁₂	C₂³×C₃	1	2	yes	—
618	C₂×D₁₂	C₂³×C₃	1	2	yes	—
619	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic, complemented
620	C₂×C₄×D₃	—	4	2	no	—
621	C₂×C₄×D₃	—	4	2	no	—
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	1	yes	characteristic
625	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
626	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
627	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
628	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
629	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
630	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
631	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
632	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
633	C₂×Dic₆	C₂³×C₃	1	2	yes	complemented
634	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic, complemented
635	C₃×C₄⋊C₄	—	2	2	no	—
636	C₃×C₄⋊C₄	—	2	2	no	—
637	C₃×C₄⋊C₄	—	2	1	no	—
638	C₃×C₄⋊C₄	—	2	1	no	—
639	C₃×C₄⋊C₄	—	3	2	no	—
640	C₃×C₄⋊C₄	—	3	2	no	—
641	C₃×C₄⋊C₄	—	3	2	no	—
642	C₃×C₄⋊C₄	—	3	2	no	—
643	C₃×C₄⋊C₄	—	3	2	no	—
644	C₃×C₄⋊C₄	—	3	2	no	—
645	C₃×C₄⋊C₄	—	3	2	no	—
646	C₃×C₄⋊C₄	—	3	1	no	—
647	C₃×C₄⋊C₄	—	3	1	no	—
648	C₃×C₄⋊C₄	—	3	2	no	—
649	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
650	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
651	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
652	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
653	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
654	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
655	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
656	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
657	C₃×C₂²⋊C₄	—	2	2	no	—
658	C₃×C₂²⋊C₄	—	2	2	no	—
659	C₃×C₂²⋊C₄	—	2	2	no	—
660	C₃×C₂²⋊C₄	—	2	2	no	—
661	C₃×C₂²⋊C₄	—	2	2	no	—
662	C₃×C₂²⋊C₄	—	2	2	no	—
663	C₃×C₂²⋊C₄	—	2	2	no	—
664	C₃×C₂²⋊C₄	—	3	2	no	—
665	C₃×C₂²⋊C₄	—	3	2	no	—
666	C₃×C₂²⋊C₄	—	3	2	no	—
667	C₃×C₂²⋊C₄	—	3	2	no	—
668	C₃×C₂²⋊C₄	—	3	2	no	—
669	C₃×C₂²⋊C₄	—	3	2	no	—
670	C₃×C₂²⋊C₄	—	3	2	no	—
671	C₃×C₂²⋊C₄	—	3	2	no	—
672	C₃×C₂²⋊C₄	—	3	2	no	—
673	C₃×C₂²⋊C₄	—	3	2	no	—
674	C₃×C₂²⋊C₄	—	3	2	no	—
675	C₃×C₂²⋊C₄	—	3	2	no	—
676	C₃×C₂²⋊C₄	—	3	2	no	—
677	C₃×C₂²⋊C₄	—	3	2	no	—
678	C₃×C₂²⋊C₄	—	3	2	no	—
679	C₃×C₂²⋊C₄	—	3	2	no	—
680	C₃×C₂²⋊C₄	—	3	2	no	—
681	C₃×C₂²⋊C₄	—	3	2	no	—
682	C₃×C₂²⋊C₄	—	3	2	no	—
683	C₃×C₂²⋊C₄	—	3	2	no	—
684	C₃×C₂²⋊C₄	—	3	2	no	—
685	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
686	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
687	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
688	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
689	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
690	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	complemented
691	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	complemented
692	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
693	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
694	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
695	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
696	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
697	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
698	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
699	C₃×C₄²	—	2	2	no	—
700	C₃×C₄²	—	3	2	no	—
701	C₃×C₄²	—	3	2	no	—
702	C₃×C₄²	—	3	2	no	—
703	C₃×C₄²	C₂²×D₃	1	2	yes	complemented
704	C₃×C₄²	C₂³×C₃	1	2	yes	complemented
705	#217	C₂³×C₃	1	2	yes	—
706	#217	C₂³×C₃	1	2	yes	—
707	#217	C₂³×C₃	1	2	yes	—
708	#217	C₂³×C₃	1	2	yes	—
709	#217	C₂³×C₃	1	2	yes	—
710	#217	C₂³×C₃	1	2	yes	complemented
711	#217	C₂³×C₃	1	2	yes	complemented
712	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
713	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
714	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
715	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
716	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
717	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
718	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
719	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
720	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
721	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
722	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
723	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
724	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
725	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
726	C₄⋊Dic₃	C₂³×C₃	1	2	yes	complemented
727	C₄⋊Dic₃	C₂³×C₃	1	2	yes	complemented
728	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
729	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
730	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
731	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
732	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
733	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
734	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
735	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
736	C₄×Dic₃	C₂³×C₃	1	2	yes	complemented
737	C₄×Dic₃	C₂³×C₃	1	2	yes	complemented
738	C₄×Dic₃	C₂³×C₃	1	2	yes	complemented
739	C₂²×C₃²	—	2	1	no	—
740	C₂²×C₃²	—	2	1	no	—
741	C₂²×C₃²	—	2	2	no	—
742	C₂²×C₃²	—	2	2	no	—
743	C₂²×C₃²	—	2	2	no	—
744	C₂²×C₃²	—	2	2	no	—
745	C₂²×C₃²	—	2	2	no	—
746	C₂²×C₃²	—	2	2	no	—
747	C₂²×C₃²	—	4	4	no	—
748	C₂²×C₃²	C₂×#41	1	2	yes	—
749	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
750	C₂×C₃×D₃	—	2	8	no	—
751	C₂×C₃×D₃	—	2	1	no	—
752	C₂×C₃×D₃	—	2	1	no	—
753	C₂×C₃×D₃	—	2	1	no	—
754	C₂×C₃×D₃	—	2	1	no	—
755	C₂×C₃×D₃	—	2	2	no	—
756	C₂×C₃×D₃	—	2	2	no	—
757	C₂×C₃×D₃	—	2	2	no	—
758	C₂×C₃×D₃	—	2	2	no	—
759	C₂×C₃×D₃	—	2	2	no	—
760	C₂×C₃×D₃	—	4	4	no	—
761	C₂×C₃×D₃	—	4	8	no	—
762	C₂×C₃×D₃	—	4	8	no	—
763	C₂×C₃×D₃	—	8	4	no	—
764	C₂×C₃×D₃	C₂×#41	1	4	yes	—
765	C₂×C₃×D₃	H(5,𝔽₂)	1	2	yes	—
766	C₂×C₃×D₃	H(5,𝔽₂)	1	2	yes	—
767	C₃²×C₄	—	2	2	no	—
768	C₃²×C₄	—	2	1	no	—
769	C₃²×C₄	—	2	2	no	—
770	C₃²×C₄	—	2	2	no	—
771	C₃²×C₄	—	2	1	no	—
772	C₃²×C₄	—	2	2	no	—
773	C₃×Dic₃	—	2	2	no	—
774	C₃×Dic₃	—	2	2	no	—
775	C₃×Dic₃	—	2	2	no	—
776	C₃×Dic₃	—	2	2	no	—
777	C₃×Dic₃	—	2	1	no	—
778	C₃×Dic₃	—	2	1	no	—
779	C₂⁵	—	3	1	no	—
780	C₂×#41	—	3	1	no	—
781	C₂×#41	—	3	1	no	—
782	C₂×#41	—	3	2	no	—
783	C₂²×D₄	—	3	2	no	—
784	C₂²×D₄	—	3	2	no	—
785	C₂²×D₄	—	3	2	no	—
786	C₂³×C₄	—	3	1	no	—
787	C₂³×C₄	—	3	1	no	—
788	#126	—	3	2	no	—
789	#126	—	3	2	no	—
790	#126	—	3	2	no	—
791	#126	C₂×C₃×D₃	1	2	yes	complemented
792	#124	—	3	2	no	—
793	#124	—	3	2	no	—
794	#124	—	3	2	no	—
795	#124	C₂×C₃×D₃	1	2	yes	complemented
796	#123	—	3	2	no	—
797	#123	—	3	2	no	—
798	#123	—	3	2	no	—
799	#123	—	3	2	no	—
800	#123	—	3	2	no	—
801	#123	—	3	2	no	—
802	#123	—	3	2	no	—
803	#123	—	3	2	no	—
804	#123	—	3	2	no	—
805	#123	C₂×C₃×D₃	1	2	yes	complemented
806	C₂²⋊Q₈	—	3	1	no	—
807	C₂²⋊Q₈	—	3	2	no	—
808	C₂²⋊Q₈	—	3	1	no	—
809	C₂²⋊Q₈	—	3	2	no	—
810	C₂²⋊Q₈	—	3	1	no	—
811	C₂²⋊Q₈	—	3	2	no	—
812	C₂²⋊Q₈	—	3	2	no	—
813	C₂²⋊Q₈	—	3	2	no	—
814	C₂²⋊Q₈	—	3	2	no	—
815	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
816	#121	—	3	2	no	—
817	#121	—	3	2	no	—
818	#121	—	3	2	no	—
819	#121	—	3	1	no	—
820	#121	—	3	1	no	—
821	#121	—	3	1	no	—
822	#121	—	3	2	no	—
823	#121	—	3	2	no	—
824	#121	C₂×C₃×D₃	1	2	yes	complemented
825	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
826	#120	—	3	2	no	—
827	#120	—	3	2	no	—
828	#120	—	3	2	no	—
829	#120	—	3	2	no	—
830	#120	—	3	2	no	—
831	#120	—	3	2	no	—
832	#120	—	3	2	no	—
833	#120	—	3	2	no	—
834	#120	—	3	2	no	—
835	#120	C₂×C₃×D₃	1	2	yes	complemented
836	C₄×D₄	—	3	2	no	—
837	C₄×D₄	—	3	2	no	—
838	C₄×D₄	—	3	2	no	—
839	C₄×D₄	—	3	2	no	—
840	C₄×D₄	—	3	2	no	—
841	C₄×D₄	—	3	2	no	—
842	C₄×D₄	—	3	2	no	—
843	C₄×D₄	—	3	2	no	—
844	C₄×D₄	—	3	2	no	—
845	C₄×D₄	—	3	2	no	—
846	C₄×D₄	—	3	2	no	—
847	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
848	#117	—	3	2	no	—
849	#117	—	3	1	no	—
850	#117	—	3	1	no	—
851	#117	—	3	2	no	—
852	#117	—	3	2	no	—
853	C₂×C₂²⋊C₄	—	3	1	no	—
854	C₂×C₂²⋊C₄	—	3	1	no	—
855	C₂×C₂²⋊C₄	—	3	1	no	—
856	C₂×C₂²⋊C₄	—	3	2	no	—
857	C₂×C₂²⋊C₄	—	3	2	no	—
858	C₂×C₂²⋊C₄	—	3	2	no	—
859	C₂×C₂²⋊C₄	—	3	2	no	—
860	C₂×C₂²⋊C₄	—	3	2	no	—
861	C₂×C₂²⋊C₄	—	3	2	no	—
862	C₂×C₂²⋊C₄	—	3	2	no	—
863	C₂×C₂²⋊C₄	—	3	2	no	—
864	C₂×C₂²⋊C₄	—	3	2	no	—
865	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
866	C₂³×C₃	—	2	2	no	—
867	C₂³×C₃	—	2	2	no	—
868	C₂³×C₃	—	2	1	no	—
869	C₂³×C₃	—	2	2	no	—
870	C₂³×C₃	—	2	2	no	—
871	C₂³×C₃	—	3	2	no	—
872	C₂³×C₃	—	3	1	no	—
873	C₂³×C₃	—	3	1	no	—
874	C₂³×C₃	—	3	4	no	—
875	C₂³×C₃	—	3	2	no	—
876	C₂³×C₃	—	4	2	no	—
877	C₂³×C₃	—	4	1	no	—
878	C₂³×C₃	—	4	1	no	—
879	C₂³×C₃	—	4	1	no	—
880	C₂³×C₃	—	4	1	no	—
881	C₂³×C₃	—	6	2	no	—
882	C₂³×C₃	—	6	2	no	—
883	C₂³×C₃	—	6	4	no	—
884	C₂³×C₃	—	6	4	no	—
885	C₂³×C₃	—	6	4	no	—
886	C₂³×C₃	—	6	4	no	—
887	C₂³×C₃	—	6	4	no	—
888	C₂³×C₃	—	6	2	no	—
889	C₂³×C₃	—	8	1	no	—
890	C₂³×C₃	—	8	1	no	—
891	C₂³×C₃	—	12	1	no	—
892	C₂³×C₃	—	12	1	no	—
893	C₂³×C₃	—	12	2	no	—
894	C₂³×C₃	—	12	2	no	—
895	C₂³×C₃	—	12	2	no	—
896	C₂³×C₃	—	12	2	no	—
897	C₂³×C₃	—	12	16	no	—
898	C₂³×C₃	C₂³×D₃	1	2	yes	—
899	C₂³×C₃	C₂³×D₃	1	2	yes	—
900	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
901	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
902	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
903	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
904	C₂²×D₃	—	2	2	no	—
905	C₂²×D₃	—	2	2	no	—
906	C₂²×D₃	—	2	2	no	—
907	C₂²×D₃	—	2	4	no	—
908	C₂²×D₃	—	2	4	no	—
909	C₂²×D₃	—	2	4	no	—
910	C₂²×D₃	—	2	4	no	—
911	C₂²×D₃	—	2	4	no	—
912	C₂²×D₃	—	4	2	no	—
913	C₂²×D₃	—	4	2	no	—
914	C₂²×D₃	—	4	1	no	—
915	C₂²×D₃	—	4	1	no	—
916	C₂²×D₃	—	4	2	no	—
917	C₂²×D₃	—	4	2	no	—
918	C₂²×D₃	—	4	16	no	—
919	C₂²×D₃	C₃×#41	1	4	yes	complemented
920	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
921	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
922	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
923	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
924	C₃×Q₈	—	4	1	no	—
925	C₃×Q₈	—	4	1	no	—
926	C₃×Q₈	—	8	1	no	—
927	C₃×Q₈	—	12	1	no	—
928	C₃×Q₈	—	12	2	no	—
929	C₃×D₄	—	2	4	no	—
930	C₃×D₄	—	2	4	no	—
931	C₃×D₄	—	4	4	no	—
932	C₃×D₄	—	4	2	no	—
933	C₃×D₄	—	4	2	no	—
934	C₃×D₄	—	4	1	no	—
935	C₃×D₄	—	4	2	no	—
936	C₃×D₄	—	4	2	no	—
937	C₃×D₄	—	4	1	no	—
938	C₃×D₄	—	6	4	no	—
939	C₃×D₄	—	6	4	no	—
940	C₃×D₄	—	6	4	no	—
941	C₃×D₄	—	6	4	no	—
942	C₃×D₄	—	6	4	no	—
943	C₃×D₄	—	6	4	no	—
944	C₃×D₄	—	6	4	no	—
945	C₃×D₄	—	8	2	no	—
946	C₃×D₄	—	8	2	no	—
947	C₃×D₄	—	8	1	no	—
948	C₃×D₄	—	12	1	no	—
949	C₃×D₄	—	12	2	no	—
950	C₃×D₄	—	12	2	no	—
951	C₃×D₄	—	12	2	no	—
952	C₂×C₃×C₄	—	2	2	no	—
953	C₂×C₃×C₄	—	2	2	no	—
954	C₂×C₃×C₄	—	2	2	no	—
955	C₂×C₃×C₄	—	2	1	no	—
956	C₂×C₃×C₄	—	2	2	no	—
957	C₂×C₃×C₄	—	2	1	no	—
958	C₂×C₃×C₄	—	3	2	no	—
959	C₂×C₃×C₄	—	3	1	no	—
960	C₂×C₃×C₄	—	3	1	no	—
961	C₂×C₃×C₄	—	3	2	no	—
962	C₂×C₃×C₄	—	3	2	no	—
963	C₂×C₃×C₄	—	3	2	no	—
964	C₂×C₃×C₄	—	4	1	no	—
965	C₂×C₃×C₄	—	4	1	no	—
966	C₂×C₃×C₄	—	4	2	no	—
967	C₂×C₃×C₄	—	4	1	no	—
968	C₂×C₃×C₄	—	4	1	no	—
969	C₂×C₃×C₄	—	4	2	no	—
970	C₂×C₃×C₄	—	6	4	no	—
971	C₂×C₃×C₄	—	6	2	no	—
972	C₂×C₃×C₄	—	6	2	no	—
973	C₂×C₃×C₄	—	6	4	no	—
974	C₂×C₃×C₄	—	8	1	no	—
975	C₂×C₃×C₄	—	8	1	no	—
976	C₂×C₃×C₄	—	8	2	no	—
977	C₂×C₃×C₄	—	12	2	no	—
978	C₂×C₃×C₄	—	12	1	no	—
979	C₂×C₃×C₄	—	12	1	no	—
980	C₂×C₃×C₄	—	12	2	no	—
981	C₂×C₃×C₄	—	12	2	no	—
982	C₂×C₃×C₄	—	12	2	no	—
983	C₂×C₃×C₄	—	12	2	no	—
984	C₂×C₃×C₄	—	12	1	no	—
985	C₂×C₃×C₄	—	12	1	no	—
986	C₂×C₃×C₄	—	12	2	no	—
987	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
988	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
989	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
990	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
991	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
992	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
993	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
994	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
995	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
996	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
997	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
998	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
999	#67	—	2	4	no	—
1000	#67	—	2	4	no	—
1001	#67	—	2	4	no	—
1002	#67	—	2	4	no	—
1003	#67	—	4	2	no	—
1004	#67	—	4	2	no	—
1005	#67	—	4	2	no	—
1006	C₂×Dic₃	—	4	1	no	—
1007	C₂×Dic₃	—	4	1	no	—
1008	C₂×Dic₃	—	4	2	no	—
1009	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1010	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1011	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1012	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1013	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1014	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1015	D₁₂	—	2	4	no	—
1016	D₁₂	—	2	4	no	—
1017	D₁₂	—	2	4	no	—
1018	D₁₂	—	4	1	no	—
1019	C₄×D₃	—	2	4	no	—
1020	C₄×D₃	—	2	4	no	—
1021	C₄×D₃	—	2	2	no	—
1022	C₄×D₃	—	2	2	no	—
1023	C₄×D₃	—	4	2	no	—
1024	C₄×D₃	—	4	1	no	—
1025	C₄×D₃	—	4	1	no	—
1026	C₄×D₃	—	4	2	no	—
1027	C₄×D₃	—	4	2	no	—
1028	C₄×D₃	—	4	2	no	—
1029	C₄×D₃	—	4	2	no	—
1030	Dic₆	—	4	2	no	—
1031	Dic₆	—	4	1	no	—
1032	C₂×C₃²	—	2	2	no	—
1033	C₂×C₃²	—	4	2	no	—
1034	C₂×C₃²	—	4	2	no	—
1035	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1036	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1037	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1038	C₃×D₃	—	2	2	no	—
1039	C₃×D₃	—	2	2	no	—
1040	C₃×D₃	—	2	4	no	—
1041	C₃×D₃	—	4	2	no	—
1042	C₂⁴	—	3	1	no	—
1043	C₂⁴	—	3	1	no	—
1044	C₂⁴	—	3	2	no	—
1045	C₂⁴	—	3	2	no	—
1046	C₂⁴	—	3	2	no	—
1047	C₂⁴	—	6	4	no	—
1048	C₂⁴	—	12	2	no	—
1049	C₂⁴	—	12	2	no	—
1050	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1051	#41	—	12	4	no	—
1052	#41	—	12	2	no	—
1053	#41	—	12	2	no	—
1054	C₂×Q₈	—	3	1	no	—
1055	C₂×Q₈	—	3	2	no	—
1056	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1057	C₂×D₄	—	3	2	no	—
1058	C₂×D₄	—	3	2	no	—
1059	C₂×D₄	—	3	2	no	—
1060	C₂×D₄	—	3	2	no	—
1061	C₂×D₄	—	3	2	no	—
1062	C₂×D₄	—	3	2	no	—
1063	C₂×D₄	—	3	2	no	—
1064	C₂×D₄	—	3	2	no	—
1065	C₂×D₄	—	3	2	no	—
1066	C₂×D₄	—	3	2	no	—
1067	C₂×D₄	—	3	1	no	—
1068	C₂×D₄	—	6	8	no	—
1069	C₂×D₄	—	12	4	no	—
1070	C₂×D₄	—	12	4	no	—
1071	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1072	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1073	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1074	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1075	C₂²×C₄	—	3	1	no	—
1076	C₂²×C₄	—	3	1	no	—
1077	C₂²×C₄	—	3	2	no	—
1078	C₂²×C₄	—	3	2	no	—
1079	C₂²×C₄	—	3	1	no	—
1080	C₂²×C₄	—	3	1	no	—
1081	C₂²×C₄	—	3	2	no	—
1082	C₂²×C₄	—	3	1	no	—
1083	C₂²×C₄	—	3	1	no	—
1084	C₂²×C₄	—	3	2	no	—
1085	C₂²×C₄	—	3	2	no	—
1086	C₂²×C₄	—	3	2	no	—
1087	C₂²×C₄	—	3	2	no	—
1088	C₂²×C₄	—	3	2	no	—
1089	C₂²×C₄	—	12	2	no	—
1090	C₂²×C₄	—	12	2	no	—
1091	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1092	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1093	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	complemented
1094	C₄⋊C₄	—	3	2	no	—
1095	C₄⋊C₄	—	3	2	no	—
1096	C₄⋊C₄	—	3	2	no	—
1097	C₄⋊C₄	—	3	2	no	—
1098	C₄⋊C₄	—	3	1	no	—
1099	C₄⋊C₄	—	3	2	no	—
1100	C₄⋊C₄	—	3	1	no	—
1101	C₄⋊C₄	—	3	2	no	—
1102	C₄⋊C₄	—	3	2	no	—
1103	C₄⋊C₄	—	3	2	no	—
1104	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1105	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1106	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1107	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1108	C₂²⋊C₄	—	3	2	no	—
1109	C₂²⋊C₄	—	3	2	no	—
1110	C₂²⋊C₄	—	3	2	no	—
1111	C₂²⋊C₄	—	3	2	no	—
1112	C₂²⋊C₄	—	3	2	no	—
1113	C₂²⋊C₄	—	3	2	no	—
1114	C₂²⋊C₄	—	3	2	no	—
1115	C₂²⋊C₄	—	3	2	no	—
1116	C₂²⋊C₄	—	3	2	no	—
1117	C₂²⋊C₄	—	3	2	no	—
1118	C₂²⋊C₄	—	3	2	no	—
1119	C₂²⋊C₄	—	3	2	no	—
1120	C₂²⋊C₄	—	3	2	no	—
1121	C₂²⋊C₄	—	3	2	no	—
1122	C₂²⋊C₄	—	3	2	no	—
1123	C₂²⋊C₄	—	3	2	no	—
1124	C₂²⋊C₄	—	3	2	no	—
1125	C₂²⋊C₄	—	3	2	no	—
1126	C₂²⋊C₄	—	3	2	no	—
1127	C₂²⋊C₄	—	3	2	no	—
1128	C₂²⋊C₄	—	3	2	no	—
1129	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1130	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1131	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1132	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1133	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1134	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1135	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1136	C₄²	—	3	2	no	—
1137	C₄²	—	3	2	no	—
1138	C₄²	—	3	2	no	—
1139	C₄²	C₂²×C₃×D₃	1	2	yes	complemented
1140	C₂²×C₃	—	2	1	no	—
1141	C₂²×C₃	—	2	1	no	—
1142	C₂²×C₃	—	2	1	no	—
1143	C₂²×C₃	—	2	1	no	—
1144	C₂²×C₃	—	2	2	no	—
1145	C₂²×C₃	—	2	2	no	—
1146	C₂²×C₃	—	2	2	no	—
1147	C₂²×C₃	—	2	2	no	—
1148	C₂²×C₃	—	2	2	no	—
1149	C₂²×C₃	—	2	2	no	—
1150	C₂²×C₃	—	2	2	no	—
1151	C₂²×C₃	—	2	2	no	—
1152	C₂²×C₃	—	2	2	no	—
1153	C₂²×C₃	—	2	2	no	—
1154	C₂²×C₃	—	2	2	no	—
1155	C₂²×C₃	—	2	2	no	—
1156	C₂²×C₃	—	2	2	no	—
1157	C₂²×C₃	—	2	1	no	—
1158	C₂²×C₃	—	3	4	no	—
1159	C₂²×C₃	—	3	2	no	—
1160	C₂²×C₃	—	3	2	no	—
1161	C₂²×C₃	—	4	1	no	—
1162	C₂²×C₃	—	4	1	no	—
1163	C₂²×C₃	—	4	2	no	—
1164	C₂²×C₃	—	4	2	no	—
1165	C₂²×C₃	—	4	2	no	—
1166	C₂²×C₃	—	4	2	no	—
1167	C₂²×C₃	—	4	2	no	—
1168	C₂²×C₃	—	4	2	no	—
1169	C₂²×C₃	—	4	4	no	—
1170	C₂²×C₃	—	4	4	no	—
1171	C₂²×C₃	—	6	8	no	—
1172	C₂²×C₃	—	6	1	no	—
1173	C₂²×C₃	—	6	1	no	—
1174	C₂²×C₃	—	6	1	no	—
1175	C₂²×C₃	—	6	1	no	—
1176	C₂²×C₃	—	6	2	no	—
1177	C₂²×C₃	—	6	2	no	—
1178	C₂²×C₃	—	6	2	no	—
1179	C₂²×C₃	—	6	2	no	—
1180	C₂²×C₃	—	6	2	no	—
1181	C₂²×C₃	—	8	4	no	—
1182	C₂²×C₃	—	12	4	no	—
1183	C₂²×C₃	—	12	8	no	—
1184	C₂²×C₃	—	12	8	no	—
1185	C₂²×C₃	—	24	4	no	—
1186	C₂²×C₃	D₃×#41	1	2	yes	—
1187	C₂²×C₃	C₂×C₃×#41	1	2	yes	—
1188	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1189	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1190	C₂×D₃	—	2	8	no	—
1191	C₂×D₃	—	2	1	no	—
1192	C₂×D₃	—	2	1	no	—
1193	C₂×D₃	—	2	1	no	—
1194	C₂×D₃	—	2	1	no	—
1195	C₂×D₃	—	2	2	no	—
1196	C₂×D₃	—	2	2	no	—
1197	C₂×D₃	—	2	2	no	—
1198	C₂×D₃	—	2	2	no	—
1199	C₂×D₃	—	2	2	no	—
1200	C₂×D₃	—	4	4	no	—
1201	C₂×D₃	—	4	8	no	—
1202	C₂×D₃	—	4	8	no	—
1203	C₂×D₃	—	8	4	no	—
1204	C₂×D₃	C₂×C₃×#41	1	4	yes	—
1205	C₂×D₃	C₃×H(5,𝔽₂)	1	2	yes	—
1206	C₂×D₃	C₃×H(5,𝔽₂)	1	2	yes	—
1207	C₃×C₄	—	2	2	no	—
1208	C₃×C₄	—	2	2	no	—
1209	C₃×C₄	—	2	1	no	—
1210	C₃×C₄	—	2	1	no	—
1211	C₃×C₄	—	2	2	no	—
1212	C₃×C₄	—	2	2	no	—
1213	C₃×C₄	—	2	2	no	—
1214	C₃×C₄	—	2	1	no	—
1215	C₃×C₄	—	2	2	no	—
1216	C₃×C₄	—	2	2	no	—
1217	C₃×C₄	—	2	1	no	—
1218	C₃×C₄	—	2	2	no	—
1219	C₃×C₄	—	4	2	no	—
1220	C₃×C₄	—	4	1	no	—
1221	C₃×C₄	—	4	2	no	—
1222	C₃×C₄	—	4	1	no	—
1223	C₃×C₄	—	4	2	no	—
1224	C₃×C₄	—	4	2	no	—
1225	C₃×C₄	—	6	2	no	—
1226	C₃×C₄	—	6	1	no	—
1227	C₃×C₄	—	6	1	no	—
1228	C₃×C₄	—	6	2	no	—
1229	C₃×C₄	—	6	2	no	—
1230	C₃×C₄	—	6	2	no	—
1231	Dic₃	—	2	2	no	—
1232	Dic₃	—	2	2	no	—
1233	Dic₃	—	2	2	no	—
1234	Dic₃	—	2	2	no	—
1235	Dic₃	—	2	1	no	—
1236	Dic₃	—	2	1	no	—
1237	C₃²	#3490	1	1	yes	characteristic, complemented, Sylow
1238	C₂³	—	2	2	no	—
1239	C₂³	—	3	2	no	—
1240	C₂³	—	3	1	no	—
1241	C₂³	—	3	1	no	—
1242	C₂³	—	3	4	no	—
1243	C₂³	—	3	2	no	—
1244	C₂³	—	4	1	no	—
1245	C₂³	—	4	1	no	—
1246	C₂³	—	6	2	no	—
1247	C₂³	—	6	2	no	—
1248	C₂³	—	6	4	no	—
1249	C₂³	—	6	4	no	—
1250	C₂³	—	6	4	no	—
1251	C₂³	—	6	4	no	—
1252	C₂³	—	6	4	no	—
1253	C₂³	—	6	2	no	—
1254	C₂³	—	12	1	no	—
1255	C₂³	—	12	1	no	—
1256	C₂³	—	12	2	no	—
1257	C₂³	—	12	2	no	—
1258	C₂³	—	12	2	no	—
1259	C₂³	—	12	2	no	—
1260	C₂³	—	12	16	no	—
1261	C₂³	C₂³×C₃×D₃	1	2	yes	—
1262	C₂³	C₂³×C₃×D₃	1	2	yes	—
1263	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1264	Q₈	—	4	1	no	—
1265	Q₈	—	12	1	no	—
1266	Q₈	—	12	2	no	—
1267	D₄	—	2	4	no	—
1268	D₄	—	4	2	no	—
1269	D₄	—	4	2	no	—
1270	D₄	—	4	1	no	—
1271	D₄	—	6	4	no	—
1272	D₄	—	6	4	no	—
1273	D₄	—	6	4	no	—
1274	D₄	—	6	4	no	—
1275	D₄	—	6	4	no	—
1276	D₄	—	6	4	no	—
1277	D₄	—	6	4	no	—
1278	D₄	—	12	1	no	—
1279	D₄	—	12	2	no	—
1280	D₄	—	12	2	no	—
1281	D₄	—	12	2	no	—
1282	C₂×C₄	—	3	2	no	—
1283	C₂×C₄	—	3	1	no	—
1284	C₂×C₄	—	3	1	no	—
1285	C₂×C₄	—	3	2	no	—
1286	C₂×C₄	—	3	2	no	—
1287	C₂×C₄	—	3	2	no	—
1288	C₂×C₄	—	4	1	no	—
1289	C₂×C₄	—	4	1	no	—
1290	C₂×C₄	—	4	2	no	—
1291	C₂×C₄	—	6	4	no	—
1292	C₂×C₄	—	6	2	no	—
1293	C₂×C₄	—	6	2	no	—
1294	C₂×C₄	—	6	4	no	—
1295	C₂×C₄	—	12	2	no	—
1296	C₂×C₄	—	12	1	no	—
1297	C₂×C₄	—	12	1	no	—
1298	C₂×C₄	—	12	2	no	—
1299	C₂×C₄	—	12	2	no	—
1300	C₂×C₄	—	12	2	no	—
1301	C₂×C₄	—	12	2	no	—
1302	C₂×C₄	—	12	1	no	—
1303	C₂×C₄	—	12	1	no	—
1304	C₂×C₄	—	12	2	no	—
1305	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1306	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1307	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1308	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1309	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1310	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1311	C₂×C₃	—	2	2	no	—
1312	C₂×C₃	—	2	2	no	—
1313	C₂×C₃	—	2	1	no	—
1314	C₂×C₃	—	2	1	no	—
1315	C₂×C₃	—	2	1	no	—
1316	C₂×C₃	—	4	2	no	—
1317	C₂×C₃	—	4	2	no	—
1318	C₂×C₃	—	4	2	no	—
1319	C₂×C₃	—	4	2	no	—
1320	C₂×C₃	—	4	2	no	—
1321	C₂×C₃	—	6	2	no	—
1322	C₂×C₃	—	6	2	no	—
1323	C₂×C₃	—	6	4	no	—
1324	C₂×C₃	—	8	2	no	—
1325	C₂×C₃	—	8	2	no	—
1326	C₂×C₃	—	12	2	no	—
1327	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1328	C₂×C₃	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1329	C₂×C₃	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1330	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1331	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1332	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1333	D₃	—	2	2	no	—
1334	D₃	—	2	2	no	—
1335	D₃	—	2	4	no	—
1336	D₃	—	4	2	no	—
1337	C₂²	—	2	1	no	—
1338	C₂²	—	2	1	no	—
1339	C₂²	—	2	2	no	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	2	2	no	—
1342	C₂²	—	2	2	no	—
1343	C₂²	—	2	2	no	—
1344	C₂²	—	2	2	no	—
1345	C₂²	—	3	4	no	—
1346	C₂²	—	3	2	no	—
1347	C₂²	—	3	2	no	—
1348	C₂²	—	4	4	no	—
1349	C₂²	—	6	8	no	—
1350	C₂²	—	6	1	no	—
1351	C₂²	—	6	1	no	—
1352	C₂²	—	6	1	no	—
1353	C₂²	—	6	1	no	—
1354	C₂²	—	6	2	no	—
1355	C₂²	—	6	2	no	—
1356	C₂²	—	6	2	no	—
1357	C₂²	—	6	2	no	—
1358	C₂²	—	6	2	no	—
1359	C₂²	—	12	4	no	—
1360	C₂²	—	12	8	no	—
1361	C₂²	—	12	8	no	—
1362	C₂²	—	24	4	no	—
1363	C₂²	C₃×D₃×#41	1	2	yes	—
1364	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1365	C₄	—	2	2	no	—
1366	C₄	—	2	2	no	—
1367	C₄	—	2	1	no	—
1368	C₄	—	2	1	no	—
1369	C₄	—	2	2	no	—
1370	C₄	—	2	2	no	—
1371	C₄	—	6	2	no	—
1372	C₄	—	6	1	no	—
1373	C₄	—	6	1	no	—
1374	C₄	—	6	2	no	—
1375	C₄	—	6	2	no	—
1376	C₄	—	6	2	no	—
1377	C₃	—	2	1	no	—
1378	C₃	#86414	1	1	yes	characteristic, direct product factor
1379	C₃	C₃×#3490	1	1	yes	characteristic, complemented
1380	C₂	—	2	2	no	—
1381	C₂	—	4	2	no	—
1382	C₂	—	4	2	no	—
1383	C₂	—	6	2	no	—
1384	C₂	—	6	2	no	—
1385	C₂	—	6	4	no	—
1386	C₂	—	12	2	no	—
1387	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1388	C₂	C₃×D₃×H(5,𝔽₂)	1	1	yes	characteristic
1389	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×#538	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#538	D₃
hypocenter	C₃	C₃×#3490
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#538

Complements

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

N	H ≅ G/N	type
1. C₃²×#538	C₂	semidirect
2. C₃×#5705	C₂	semidirect
3. C₃×#5705	C₂	semidirect
4. C₃×#5679	C₂	semidirect
5. C₃×#5676	C₂	semidirect
6. C₃×#5659	C₂	semidirect
7. C₃×#5654	C₂	semidirect
8. C₃×#5634	C₂	semidirect
9. C₃×#5627	C₂	semidirect
10. C₃×#5612	C₂	semidirect
11. C₃×#5610	C₂	semidirect
12. C₃×#5606	C₂	semidirect
13. C₃×#5605	C₂	semidirect
14. C₃×#5593	C₂	semidirect
15. C₃×D₃×#120	C₂	semidirect
16. C₃×#5547	C₂	semidirect
17. C₃×#5545	C₂	semidirect
18. C₃×#5494	C₂	semidirect
19. C₂×C₃×D₃×C₂²⋊C₄	C₂	semidirect
21. #86414	C₃	direct (N × H)
23. C₂×C₃×#239	C₂²	semidirect
24. C₂×C₃×#237	C₂²	semidirect
26. C₂×C₃×D₃×D₄	C₂²	semidirect
27. C₂×C₃×D₃×D₄	C₂²	semidirect
28. C₂×C₃×#235	C₂²	semidirect
29. C₂²×C₃×C₄×D₃	C₂²	semidirect
30. C₂²×C₃×C₄×D₃	C₂²	semidirect
31. C₃²×#126	C₂²	semidirect
32. C₃²×#124	C₂²	semidirect
33. C₃²×#123	C₂²	semidirect
34. C₃²×C₂²⋊Q₈	C₂²	semidirect
35. C₃²×#121	C₂²	semidirect
36. C₃²×#121	C₂²	semidirect
37. C₃²×#120	C₂²	semidirect
38. C₃²×C₄×D₄	C₂²	semidirect
39. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
40. C₃×#953	C₂²	semidirect
41. C₂×C₃×#217	C₂²	semidirect
42. C₃×#946	C₂²	semidirect
43. C₃×#946	C₂²	semidirect
44. C₃×#939	C₂²	semidirect
45. C₃×#939	C₂²	semidirect
46. C₃×#938	C₂²	semidirect
47. C₃×#938	C₂²	semidirect
50. C₃×#937	C₂²	semidirect
51. C₃×#937	C₂²	semidirect
52. C₃×#936	C₂²	semidirect
53. C₃×#935	C₂²	semidirect
54. C₃×D₄×Dic₃	C₂²	semidirect
55. C₃×#930	C₂²	semidirect
56. C₃×C₄×#67	C₂²	semidirect
57. C₃×C₄×#67	C₂²	semidirect
58. C₃×C₄×#67	C₂²	semidirect
61. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
62. C₃×#924	C₂²	semidirect
63. C₃×#897	C₂²	semidirect
64. C₃×#897	C₂²	semidirect
65. C₃×#896	C₂²	semidirect
66. C₃×#896	C₂²	semidirect
67. C₃×#896	C₂²	semidirect
68. C₃×#895	C₂²	semidirect
69. C₃×#894	C₂²	semidirect
70. C₃×#894	C₂²	semidirect
71. C₃×#894	C₂²	semidirect
72. C₃×#893	C₂²	semidirect
73. C₃×#893	C₂²	semidirect
74. C₃×#892	C₂²	semidirect
75. C₃×#892	C₂²	semidirect
76. C₃×#892	C₂²	semidirect
77. C₃×#885	C₂²	semidirect
78. C₃×#885	C₂²	semidirect
79. C₃×#884	C₂²	semidirect
80. C₃×#884	C₂²	semidirect
81. C₃×#883	C₂²	semidirect
82. C₃×#883	C₂²	semidirect
83. C₃×#883	C₂²	semidirect
84. C₃×#883	C₂²	semidirect
85. C₃×#883	C₂²	semidirect
88. C₃×#882	C₂²	semidirect
89. C₃×#882	C₂²	semidirect
90. C₃×#67⋊C₄	C₂²	semidirect
91. C₃×#67⋊C₄	C₂²	semidirect
92. C₃×#67⋊C₄	C₂²	semidirect
94. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
95. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
96. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
97. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
98. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
99. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
100. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
101. C₃×#879	C₂²	semidirect
102. C₃×#879	C₂²	semidirect
103. C₃×#879	C₂²	semidirect
104. C₃×#878	C₂²	semidirect
105. C₃×C₄×D₁₂	C₂²	semidirect
106. C₃×C₄×D₁₂	C₂²	semidirect
107. C₃×#872	C₂²	semidirect
108. C₃×#872	C₂²	semidirect
121. C₃×#538	D₃	semidirect
122. C₃×#538	C₂×C₃	semidirect
130. #5705	C₂×C₃	semidirect
131. #5705	C₂×C₃	semidirect
132. #5679	C₂×C₃	semidirect
133. #5676	C₂×C₃	semidirect
134. #5659	C₂×C₃	semidirect
135. #5654	C₂×C₃	semidirect
136. #5634	C₂×C₃	semidirect
137. #5627	C₂×C₃	semidirect
138. #5612	C₂×C₃	semidirect
139. #5610	C₂×C₃	semidirect
140. #5606	C₂×C₃	semidirect
141. #5605	C₂×C₃	semidirect
142. #5593	C₂×C₃	semidirect
143. D₃×#120	C₂×C₃	semidirect
144. #5547	C₂×C₃	semidirect
145. #5545	C₂×C₃	semidirect
146. #5494	C₂×C₃	semidirect
147. C₂×D₃×C₂²⋊C₄	C₂×C₃	semidirect
157. C₂×C₃²×Q₈	C₂³	semidirect
161. C₂×C₃²×D₄	C₂³	semidirect
164. C₂²×C₃²×C₄	C₂³	semidirect
171. C₂×C₃×#67	C₂³	semidirect
174. C₂²×C₃×Dic₃	C₂³	semidirect
184. C₂×C₃×D₁₂	C₂³	semidirect
196. C₂×C₃×C₄×D₃	C₂³	semidirect
197. C₂×C₃×C₄×D₃	C₂³	semidirect
198. C₂×C₃×Dic₆	C₂³	semidirect
199. C₂×C₃×Dic₆	C₂³	semidirect
200. C₃²×C₄⋊C₄	C₂³	semidirect
201. C₃²×C₄⋊C₄	C₂³	semidirect
202. C₃²×C₄⋊C₄	C₂³	semidirect
203. C₃²×C₄⋊C₄	C₂³	semidirect
209. C₃²×C₂²⋊C₄	C₂³	semidirect
210. C₃²×C₂²⋊C₄	C₂³	semidirect
211. C₃²×C₄²	C₂³	semidirect
217. C₃×#217	C₂³	semidirect
218. C₃×#217	C₂³	semidirect
229. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
230. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
231. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
232. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
233. C₃×C₄⋊Dic₃	C₂³	semidirect
234. C₃×C₄⋊Dic₃	C₂³	semidirect
235. C₃×C₄⋊Dic₃	C₂³	semidirect
236. C₃×C₄⋊Dic₃	C₂³	semidirect
237. C₃×Dic₃⋊C₄	C₂³	semidirect
238. C₃×Dic₃⋊C₄	C₂³	semidirect
239. C₃×Dic₃⋊C₄	C₂³	semidirect
240. C₃×Dic₃⋊C₄	C₂³	semidirect
241. C₃×Dic₃⋊C₄	C₂³	semidirect
242. C₃×Dic₃⋊C₄	C₂³	semidirect
243. C₃×C₄×Dic₃	C₂³	semidirect
244. C₃×C₄×Dic₃	C₂³	semidirect
245. C₃×C₄×Dic₃	C₂³	semidirect
257. C₂×#239	C₂²×C₃	semidirect
258. C₂×#237	C₂²×C₃	semidirect
260. C₂×D₃×D₄	C₂²×C₃	semidirect
261. C₂×D₃×D₄	C₂²×C₃	semidirect
262. C₂×#235	C₂²×C₃	semidirect
263. C₂²×C₄×D₃	C₂²×C₃	semidirect
264. C₂²×C₄×D₃	C₂²×C₃	semidirect
269. C₃×#126	C₂×D₃	semidirect
270. C₃×#126	C₂²×C₃	semidirect
275. C₃×#124	C₂×D₃	semidirect
276. C₃×#124	C₂²×C₃	semidirect
287. C₃×#123	C₂×D₃	semidirect
288. C₃×#123	C₂²×C₃	semidirect
299. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
300. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
311. C₃×#121	C₂×D₃	semidirect
312. C₃×#121	C₂×D₃	semidirect
313. C₃×#121	C₂²×C₃	semidirect
314. C₃×#121	C₂²×C₃	semidirect
325. C₃×#120	C₂×D₃	semidirect
326. C₃×#120	C₂²×C₃	semidirect
339. C₃×C₄×D₄	C₂×D₃	semidirect
340. C₃×C₄×D₄	C₂²×C₃	semidirect
359. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
360. C₂×C₃×C₂²⋊C₄	C₂²×C₃	semidirect
361. #953	C₂²×C₃	semidirect
362. C₂×#217	C₂²×C₃	semidirect
363. #946	C₂²×C₃	semidirect
364. #946	C₂²×C₃	semidirect
365. #939	C₂²×C₃	semidirect
366. #939	C₂²×C₃	semidirect
367. #938	C₂²×C₃	semidirect
368. #938	C₂²×C₃	semidirect
371. #937	C₂²×C₃	semidirect
372. #937	C₂²×C₃	semidirect
373. #936	C₂²×C₃	semidirect
374. #935	C₂²×C₃	semidirect
375. D₄×Dic₃	C₂²×C₃	semidirect
376. #930	C₂²×C₃	semidirect
377. C₄×#67	C₂²×C₃	semidirect
378. C₄×#67	C₂²×C₃	semidirect
379. C₄×#67	C₂²×C₃	semidirect
382. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
383. #924	C₂²×C₃	semidirect
384. #897	C₂²×C₃	semidirect
385. #897	C₂²×C₃	semidirect
386. #896	C₂²×C₃	semidirect
387. #896	C₂²×C₃	semidirect
388. #896	C₂²×C₃	semidirect
389. #895	C₂²×C₃	semidirect
390. #894	C₂²×C₃	semidirect
391. #894	C₂²×C₃	semidirect
392. #894	C₂²×C₃	semidirect
393. #893	C₂²×C₃	semidirect
394. #893	C₂²×C₃	semidirect
395. #892	C₂²×C₃	semidirect
396. #892	C₂²×C₃	semidirect
397. #892	C₂²×C₃	semidirect
398. #885	C₂²×C₃	semidirect
399. #885	C₂²×C₃	semidirect
400. #884	C₂²×C₃	semidirect
401. #884	C₂²×C₃	semidirect
402. #883	C₂²×C₃	semidirect
403. #883	C₂²×C₃	semidirect
404. #883	C₂²×C₃	semidirect
405. #883	C₂²×C₃	semidirect
406. #883	C₂²×C₃	semidirect
409. #882	C₂²×C₃	semidirect
410. #882	C₂²×C₃	semidirect
411. #67⋊C₄	C₂²×C₃	semidirect
412. #67⋊C₄	C₂²×C₃	semidirect
413. #67⋊C₄	C₂²×C₃	semidirect
415. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
416. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
417. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
418. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
419. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
420. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
421. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
422. #879	C₂²×C₃	semidirect
423. #879	C₂²×C₃	semidirect
424. #879	C₂²×C₃	semidirect
425. #878	C₂²×C₃	semidirect
426. C₄×D₁₂	C₂²×C₃	semidirect
427. C₄×D₁₂	C₂²×C₃	semidirect
428. #872	C₂²×C₃	semidirect
429. #872	C₂²×C₃	semidirect
451. C₂²×C₃×D₃	#41	semidirect
514. #538	C₃×D₃	semidirect
547. C₂×C₃×Q₈	C₂²×D₃	semidirect
548. C₂×C₃×Q₈	C₂³×C₃	semidirect
570. C₂×C₃×D₄	C₂²×D₃	semidirect
574. C₂×C₃×D₄	C₂³×C₃	semidirect
596. C₂²×C₃×C₄	C₂²×D₃	semidirect
599. C₂²×C₃×C₄	C₂³×C₃	semidirect
606. C₂×#67	C₂³×C₃	semidirect
609. C₂²×Dic₃	C₂³×C₃	semidirect
619. C₂×D₁₂	C₂³×C₃	semidirect
631. C₂×C₄×D₃	C₂³×C₃	semidirect
632. C₂×C₄×D₃	C₂³×C₃	semidirect
633. C₂×Dic₆	C₂³×C₃	semidirect
634. C₂×Dic₆	C₂³×C₃	semidirect
649. C₃×C₄⋊C₄	C₂²×D₃	semidirect
650. C₃×C₄⋊C₄	C₂²×D₃	semidirect
651. C₃×C₄⋊C₄	C₂²×D₃	semidirect
652. C₃×C₄⋊C₄	C₂²×D₃	semidirect
653. C₃×C₄⋊C₄	C₂³×C₃	semidirect
654. C₃×C₄⋊C₄	C₂³×C₃	semidirect
655. C₃×C₄⋊C₄	C₂³×C₃	semidirect
656. C₃×C₄⋊C₄	C₂³×C₃	semidirect
690. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
691. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
697. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
698. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
703. C₃×C₄²	C₂²×D₃	semidirect
704. C₃×C₄²	C₂³×C₃	semidirect
710. #217	C₂³×C₃	semidirect
711. #217	C₂³×C₃	semidirect
722. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
723. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
724. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
725. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
726. C₄⋊Dic₃	C₂³×C₃	semidirect
727. C₄⋊Dic₃	C₂³×C₃	semidirect
728. C₄⋊Dic₃	C₂³×C₃	semidirect
729. C₄⋊Dic₃	C₂³×C₃	semidirect
730. Dic₃⋊C₄	C₂³×C₃	semidirect
731. Dic₃⋊C₄	C₂³×C₃	semidirect
732. Dic₃⋊C₄	C₂³×C₃	semidirect
733. Dic₃⋊C₄	C₂³×C₃	semidirect
734. Dic₃⋊C₄	C₂³×C₃	semidirect
735. Dic₃⋊C₄	C₂³×C₃	semidirect
736. C₄×Dic₃	C₂³×C₃	semidirect
737. C₄×Dic₃	C₂³×C₃	semidirect
738. C₄×Dic₃	C₂³×C₃	semidirect
791. #126	C₂×C₃×D₃	semidirect
795. #124	C₂×C₃×D₃	semidirect
805. #123	C₂×C₃×D₃	semidirect
815. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
824. #121	C₂×C₃×D₃	semidirect
825. #121	C₂×C₃×D₃	semidirect
835. #120	C₂×C₃×D₃	semidirect
847. C₄×D₄	C₂×C₃×D₃	semidirect
865. C₂×C₂²⋊C₄	C₂×C₃×D₃	semidirect
919. C₂²×D₃	C₃×#41	semidirect
1056. C₂×Q₈	C₂²×C₃×D₃	semidirect
1074. C₂×D₄	C₂²×C₃×D₃	semidirect
1093. C₂²×C₄	C₂²×C₃×D₃	semidirect
1104. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1105. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1106. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1107. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1134. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1135. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1139. C₄²	C₂²×C₃×D₃	semidirect
1237. C₃²	#3490	semidirect
1378. C₃	#86414	direct (N × H)
1379. C₃	C₃×#3490	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#538	2
C₃×#5705	2
C₃×#5679	2
C₃×#5676	2
C₃×#5659	2
C₃×#5654	2
C₃×#5634	2
C₃×#5627	2
C₃×#5612	2
C₃×#5610	2
C₃×#5606	2
C₃×#5605	2
C₃×#5593	2
C₃×D₃×#120	2
C₃×#5547	2
C₃×#5545	2
C₃×#5494	2
C₂×C₃×D₃×C₂²⋊C₄	2
C₃×#3490	3
#86414	3

Subgroups — C3×#86414 #11904843

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86414 #11904843