Subgroups — C₃×#86630 #11904708

Order 1152.

3211 conjugacy classes of subgroups.

The subgroup lattice has 1583 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#1010	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₃×#237	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃²×#546	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5824	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5806	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5677	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5675	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5655	C₂	1	2	yes	maximal, complemented
9	C₃×#5648	C₂	1	2	yes	maximal, complemented
10	C₃×#5632	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×D₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5611	C₂	1	2	yes	maximal, complemented
13	C₃×#5608	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5598	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5597	C₂	1	2	yes	maximal, complemented
16	C₃×#5591	C₂	1	2	yes	maximal, complemented
17	C₃×#5586	C₂	1	2	yes	maximal, complemented
18	C₃×#5555	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5547	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5546	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×D₄×Dic₆	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5490	C₂	1	2	yes	maximal, complemented
23	C₂×C₃×#878	C₂	1	2	yes	maximal, complemented
24	C₃×#3489	—	3	1	no	maximal
25	#86630	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂×C₃²×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic
28	C₂²×C₃×#67	C₂²	1	2	yes	—
29	C₂³×C₃×Dic₃	C₂²	1	2	yes	—
30	C₃×#1010	—	2	8	no	—
31	C₂×C₃×D₃×Q₈	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₃×D₃×Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₃×#237	—	2	8	no	—
34	C₂×C₃×#237	C₂²	1	1	yes	characteristic
35	C₂×C₃×#237	C₂²	1	2	yes	—
36	C₂×C₃×#237	C₂²	1	1	yes	characteristic
37	C₂×C₃×#237	C₂²	1	1	yes	characteristic
38	C₂×C₃×#237	C₂²	1	2	yes	—
39	C₂×C₃×#237	C₂²	1	1	yes	characteristic
40	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₃×#237	C₂²	1	2	yes	complemented
42	C₂×C₃×#237	C₂²	1	2	yes	complemented
43	C₂×C₃×#235	C₂²	1	2	yes	complemented
44	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
46	C₂²×C₃×Dic₆	C₂²	1	1	yes	characteristic
47	C₂²×C₃×Dic₆	C₂²	1	1	yes	characteristic, complemented
48	C₂²×C₃×Dic₆	C₂²	1	2	yes	complemented
49	C₃²×#124	C₂²	1	1	yes	characteristic, complemented
50	C₃²×#123	C₂²	1	2	yes	complemented
51	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
52	C₃²×#121	C₂²	1	2	yes	complemented
53	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
54	C₃²×#120	C₂²	1	2	yes	—
55	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
56	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₃²×C₂²⋊C₄	C₂²	1	2	yes	—
58	C₃×#953	C₂²	1	2	yes	—
59	C₂×C₃×#217	C₂²	1	2	yes	—
60	C₃×#946	C₂²	1	1	yes	characteristic, complemented
61	C₃×#944	C₂²	1	1	yes	characteristic, complemented
62	C₃×#939	C₂²	1	1	yes	characteristic
63	C₃×#939	C₂²	1	2	yes	complemented
64	C₃×#939	C₂²	1	2	yes	complemented
65	C₃×#939	C₂²	1	2	yes	complemented
66	C₃×#939	C₂²	1	2	yes	complemented
67	C₃×#938	C₂²	1	1	yes	characteristic, complemented
68	C₃×#938	C₂²	1	2	yes	complemented
69	C₃×#937	C₂²	1	1	yes	characteristic
70	C₃×#936	C₂²	1	1	yes	characteristic, complemented
71	C₃×#935	C₂²	1	2	yes	complemented
72	C₃×#935	C₂²	1	2	yes	complemented
73	C₃×D₄×Dic₃	C₂²	1	2	yes	—
74	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
75	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
76	C₃×#930	C₂²	1	2	yes	complemented
77	C₃×#929	C₂²	1	2	yes	complemented
78	C₃×C₄×#67	C₂²	1	1	yes	characteristic
79	C₃×C₄×#67	C₂²	1	2	yes	complemented
80	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₃×C₄⋊Dic₃	C₂²	1	2	yes	complemented
82	C₃×#924	C₂²	1	1	yes	characteristic
83	C₃×#924	C₂²	1	1	yes	characteristic, complemented
84	C₂×C₃×Dic₃⋊C₄	C₂²	1	2	yes	complemented
85	C₂×C₃×Dic₃⋊C₄	C₂²	1	2	yes	complemented
86	C₃×#897	C₂²	1	1	yes	characteristic, complemented
87	C₃×#897	C₂²	1	1	yes	characteristic, complemented
88	C₃×#896	C₂²	1	1	yes	characteristic, complemented
89	C₃×#896	C₂²	1	2	yes	complemented
90	C₃×#896	C₂²	1	2	yes	complemented
91	C₃×#894	C₂²	1	1	yes	characteristic, complemented
92	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
93	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
94	C₃×#888	C₂²	1	2	yes	complemented
95	C₃×#888	C₂²	1	2	yes	complemented
96	C₃×#887	C₂²	1	1	yes	characteristic, complemented
97	C₃×#886	C₂²	1	2	yes	complemented
98	C₃×#886	C₂²	1	2	yes	complemented
99	C₃×#885	C₂²	1	2	yes	complemented
100	C₃×#885	C₂²	1	2	yes	complemented
101	C₃×#884	C₂²	1	2	yes	complemented
102	C₃×#884	C₂²	1	2	yes	complemented
103	C₃×#884	C₂²	1	1	yes	characteristic, complemented
104	C₃×#883	C₂²	1	2	yes	complemented
105	C₃×#883	C₂²	1	1	yes	characteristic, complemented
106	C₃×#883	C₂²	1	2	yes	complemented
107	C₃×#882	C₂²	1	1	yes	characteristic
108	C₃×#67⋊C₄	C₂²	1	2	yes	—
109	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
110	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
111	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
112	C₃×#878	C₂²	1	2	yes	—
113	C₃×#878	C₂²	1	1	yes	characteristic
114	C₃×#878	C₂²	1	2	yes	—
115	C₃×#878	C₂²	1	2	yes	—
116	C₃×#878	C₂²	1	2	yes	complemented
117	C₃×#878	C₂²	1	2	yes	complemented
118	C₃×#878	C₂²	1	2	yes	complemented
119	C₃×#878	C₂²	1	2	yes	complemented
120	C₃×#878	C₂²	1	2	yes	complemented
121	C₃×#878	C₂²	1	2	yes	complemented
122	C₃×#877	C₂²	1	2	yes	complemented
123	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
124	C₃×#872	C₂²	1	1	yes	characteristic, complemented
125	C₃×#869	C₂²	1	1	yes	characteristic, complemented
126	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
127	C₂×C₃×2₋¹⁺⁴	—	3	1	no	—
128	C₂²×C₃×#41	—	3	1	no	—
129	C₂×#1010	C₂×C₃	1	1	yes	characteristic, complemented
130	C₂²×#237	C₂×C₃	1	1	yes	characteristic, complemented
131	C₃×D₄×Q₈	—	3	1	no	—
132	C₃×D₄×Q₈	—	3	1	no	—
133	C₃×#548	—	3	1	no	—
134	C₃×#548	—	3	1	no	—
135	C₃×#547	—	3	1	no	—
136	C₃×#547	—	3	2	no	—
137	C₃×#547	—	3	2	no	—
138	C₃×#547	—	3	1	no	—
139	C₃×#546	—	2	1	no	—
140	C₃×#546	—	3	1	no	—
141	C₃×#546	—	3	2	no	—
142	C₃×#546	—	3	2	no	—
143	C₃×#546	D₃	1	1	yes	characteristic, complemented
144	C₃×#546	C₂×C₃	1	1	yes	characteristic, complemented
145	C₃×#537	—	3	2	no	—
146	C₃×#537	—	3	1	no	—
147	C₃×#536	—	3	1	no	—
148	C₃×#536	—	3	2	no	—
149	C₃×#525	—	3	2	no	—
150	C₃×#525	—	3	1	no	—
151	C₂×C₃×C₂²⋊Q₈	—	3	1	no	—
152	C₂×C₃×C₂²⋊Q₈	—	3	2	no	—
153	C₃×#520	—	3	1	no	—
154	#5824	C₂×C₃	1	1	yes	characteristic, complemented
155	#5806	C₂×C₃	1	1	yes	characteristic, complemented
156	#5677	C₂×C₃	1	1	yes	characteristic, complemented
157	#5675	C₂×C₃	1	1	yes	characteristic, complemented
158	#5655	C₂×C₃	1	2	yes	complemented
159	#5648	C₂×C₃	1	2	yes	complemented
160	#5632	C₂×C₃	1	1	yes	characteristic, complemented
161	D₃×C₂²⋊Q₈	C₂×C₃	1	1	yes	characteristic, complemented
162	#5611	C₂×C₃	1	2	yes	complemented
163	#5608	C₂×C₃	1	1	yes	characteristic, complemented
164	#5598	C₂×C₃	1	1	yes	characteristic, complemented
165	#5597	C₂×C₃	1	2	yes	complemented
166	#5591	C₂×C₃	1	2	yes	complemented
167	#5586	C₂×C₃	1	2	yes	complemented
168	#5555	C₂×C₃	1	1	yes	characteristic, complemented
169	#5547	C₂×C₃	1	1	yes	characteristic, complemented
170	#5546	C₂×C₃	1	1	yes	characteristic, complemented
171	D₄×Dic₆	C₂×C₃	1	1	yes	characteristic, complemented
172	#5490	C₂×C₃	1	2	yes	complemented
173	C₂×#878	C₂×C₃	1	2	yes	complemented
174	C₂⁴×C₃²	C₂³	1	2	yes	—
175	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
176	C₃²×#41	—	2	4	no	—
177	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
178	C₂×C₃²×D₄	—	2	4	no	—
179	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
180	C₂×C₃²×D₄	C₂³	1	2	yes	—
181	C₂×C₃²×D₄	C₂³	1	2	yes	—
182	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
183	C₂×C₃²×D₄	C₂³	1	2	yes	—
184	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
185	C₂²×C₃²×C₄	C₂³	1	2	yes	—
186	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
187	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
188	C₂²×C₃²×C₄	C₂³	1	2	yes	—
189	C₂×C₃×#67	—	2	8	no	—
190	C₂×C₃×#67	C₂³	1	1	yes	characteristic
191	C₂×C₃×#67	C₂³	1	2	yes	—
192	C₂×C₃×#67	C₂³	1	1	yes	characteristic
193	C₂×C₃×#67	C₂³	1	2	yes	—
194	C₂×C₃×#67	C₂³	1	1	yes	characteristic
195	C₂×C₃×#67	C₂³	1	2	yes	—
196	C₂×C₃×#67	C₂³	1	2	yes	—
197	C₂×C₃×#67	C₂³	1	2	yes	—
198	C₂×C₃×#67	C₂³	1	1	yes	characteristic
199	C₂×C₃×#67	C₂³	1	2	yes	—
200	C₂²×C₃×Dic₃	—	2	8	no	—
201	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
202	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
203	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
204	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
205	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
206	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
207	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
208	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
209	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
210	C₃×D₃×Q₈	—	2	4	no	—
211	C₃×D₃×Q₈	—	2	4	no	—
212	C₃×#237	—	2	4	no	—
213	C₃×#237	—	2	4	no	—
214	C₃×#237	—	2	8	no	—
215	C₃×#237	—	2	8	no	—
216	C₃×#237	—	2	8	no	—
217	C₃×#237	—	2	8	no	—
218	C₃×#237	—	2	4	no	—
219	C₃×#237	—	2	4	no	—
220	C₃×#237	D₄	1	8	yes	complemented
221	C₃×#235	—	2	8	no	—
222	C₃×#235	—	2	4	no	—
223	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
224	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
225	C₂×C₃×C₄×D₃	—	2	4	no	—
226	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
227	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
228	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
229	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
230	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
231	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
232	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
233	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
234	C₂×C₃×Dic₆	—	2	8	no	—
235	C₂×C₃×Dic₆	—	2	4	no	—
236	C₂×C₃×Dic₆	—	2	4	no	—
237	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
238	C₂×C₃×Dic₆	C₂³	1	2	yes	—
239	C₂×C₃×Dic₆	C₂³	1	2	yes	—
240	C₂×C₃×Dic₆	C₂³	1	2	yes	—
241	C₂×C₃×Dic₆	C₂³	1	2	yes	—
242	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
243	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
244	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
245	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
248	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
249	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
250	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
251	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
252	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
254	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
255	C₃²×C₄²	C₂³	1	1	yes	characteristic
256	C₃×#217	C₂³	1	2	yes	—
257	C₃×#217	C₂³	1	1	yes	characteristic
258	C₃×#217	C₂³	1	2	yes	—
259	C₃×#217	C₂³	1	2	yes	—
260	C₃×#217	C₂³	1	2	yes	—
261	C₃×#217	C₂³	1	2	yes	—
262	C₃×#217	C₂³	1	2	yes	—
263	C₃×#217	C₂³	1	1	yes	characteristic
264	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
265	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
266	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
267	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
268	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
269	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
270	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
271	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
272	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
273	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
274	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
275	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
276	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
277	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
278	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
279	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
280	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
281	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
282	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
283	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
284	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
285	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
286	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
287	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
288	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
289	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
290	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
291	C₃×C₄×Dic₃	C₂³	1	2	yes	—
292	C₃×C₄×Dic₃	C₂³	1	2	yes	—
293	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
294	#3489	—	3	1	no	Sylow
295	C₃×2₋¹⁺⁴	—	6	8	no	—
296	C₂×C₃×#41	—	2	1	no	—
297	C₂×C₃×#41	—	3	1	no	—
298	C₂×C₃×#41	—	3	2	no	—
299	C₂×C₃×#41	—	3	1	no	—
300	C₂×C₃×#41	—	3	1	no	—
301	C₂×C₃×#41	—	3	2	no	—
302	C₂×C₃×#41	—	3	1	no	—
303	C₂×C₃×#41	—	3	2	no	—
304	C₂×C₃×#41	—	3	1	no	—
305	C₂×C₃×#41	—	3	2	no	—
306	C₂×C₃×#41	—	3	1	no	—
307	C₂×C₃×#41	—	3	2	no	—
308	C₂×C₃×#41	—	6	8	no	—
309	C₂×C₃×#41	C₂×D₃	1	1	yes	characteristic, complemented
310	C₂×C₃×#41	C₂²×C₃	1	1	yes	characteristic, complemented
311	C₂²×C₃×Q₈	—	3	1	no	—
312	C₂²×C₃×Q₈	—	3	1	no	—
313	C₂²×C₃×Q₈	—	3	1	no	—
314	C₂²×C₃×Q₈	—	3	2	no	—
315	C₂²×C₃×Q₈	—	3	1	no	—
316	C₂²×C₃×D₄	—	2	1	no	—
317	C₂²×C₃×D₄	—	3	2	no	—
318	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic
319	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic
320	C₂³×C₃×C₄	—	3	2	no	—
321	C₂³×C₃×C₄	—	3	1	no	—
322	C₂²×#67	C₂²×C₃	1	2	yes	—
323	C₂³×Dic₃	C₂²×C₃	1	2	yes	—
324	#1010	—	2	8	no	—
325	C₂×D₃×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
326	C₂×D₃×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
327	C₂×#237	—	2	8	no	—
328	C₂×#237	C₂²×C₃	1	2	yes	—
329	C₂×#237	C₂²×C₃	1	2	yes	—
330	C₂×#237	C₂²×C₃	1	1	yes	characteristic
331	C₂×#237	C₂²×C₃	1	1	yes	characteristic
332	C₂×#237	C₂²×C₃	1	1	yes	characteristic
333	C₂×#237	C₂²×C₃	1	1	yes	characteristic
334	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
335	C₂×#237	C₂²×C₃	1	2	yes	complemented
336	C₂×#237	C₂²×C₃	1	2	yes	complemented
337	C₂×#235	C₂²×C₃	1	2	yes	complemented
338	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
339	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
340	C₂²×Dic₆	C₂²×C₃	1	1	yes	characteristic
341	C₂²×Dic₆	C₂²×C₃	1	2	yes	complemented
342	C₂²×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
343	C₃×C₄⋊Q₈	—	3	1	no	—
344	C₃×C₄⋊Q₈	—	3	2	no	—
345	C₃×C₄⋊Q₈	—	3	2	no	—
346	C₃×C₄⋊Q₈	—	3	1	no	—
347	C₃×#124	—	2	1	no	—
348	C₃×#124	—	3	1	no	—
349	C₃×#124	—	3	2	no	—
350	C₃×#124	—	3	2	no	—
351	C₃×#124	C₂×D₃	1	1	yes	characteristic, complemented
352	C₃×#124	C₂²×C₃	1	1	yes	characteristic, complemented
353	C₃×#123	—	2	2	no	—
354	C₃×#123	—	3	2	no	—
355	C₃×#123	—	3	2	no	—
356	C₃×#123	—	3	2	no	—
357	C₃×#123	—	3	1	no	—
358	C₃×#123	—	3	1	no	—
359	C₃×#123	—	3	2	no	—
360	C₃×#123	—	3	2	no	—
361	C₃×#123	—	3	2	no	—
362	C₃×#123	—	3	2	no	—
363	C₃×#123	C₂×D₃	1	2	yes	complemented
364	C₃×#123	C₂²×C₃	1	2	yes	complemented
365	C₃×C₂²⋊Q₈	—	2	1	no	—
366	C₃×C₂²⋊Q₈	—	3	1	no	—
367	C₃×C₂²⋊Q₈	—	3	1	no	—
368	C₃×C₂²⋊Q₈	—	3	1	no	—
369	C₃×C₂²⋊Q₈	—	3	2	no	—
370	C₃×C₂²⋊Q₈	—	3	1	no	—
371	C₃×C₂²⋊Q₈	—	3	2	no	—
372	C₃×C₂²⋊Q₈	—	3	1	no	—
373	C₃×C₂²⋊Q₈	—	3	1	no	—
374	C₃×C₂²⋊Q₈	—	3	2	no	—
375	C₃×C₂²⋊Q₈	—	3	1	no	—
376	C₃×C₂²⋊Q₈	—	3	2	no	—
377	C₃×C₂²⋊Q₈	—	3	2	no	—
378	C₃×C₂²⋊Q₈	—	3	2	no	—
379	C₃×C₂²⋊Q₈	—	3	2	no	—
380	C₃×C₂²⋊Q₈	—	3	2	no	—
381	C₃×C₂²⋊Q₈	—	3	2	no	—
382	C₃×C₂²⋊Q₈	—	3	2	no	—
383	C₃×C₂²⋊Q₈	—	3	2	no	—
384	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
385	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
386	C₃×#121	—	2	2	no	—
387	C₃×#121	—	2	1	no	—
388	C₃×#121	—	3	2	no	—
389	C₃×#121	—	3	1	no	—
390	C₃×#121	—	3	1	no	—
391	C₃×#121	—	3	2	no	—
392	C₃×#121	—	3	2	no	—
393	C₃×#121	—	3	2	no	—
394	C₃×#121	—	3	2	no	—
395	C₃×#121	—	3	2	no	—
396	C₃×#121	—	3	1	no	—
397	C₃×#121	—	3	2	no	—
398	C₃×#121	—	3	2	no	—
399	C₃×#121	C₂×D₃	1	2	yes	complemented
400	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
401	C₃×#121	C₂²×C₃	1	2	yes	complemented
402	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
403	C₃×#120	—	2	2	no	—
404	C₃×#120	—	3	2	no	—
405	C₃×#120	—	3	1	no	—
406	C₃×#120	—	3	1	no	—
407	C₃×#120	C₂×D₃	1	2	yes	—
408	C₃×#120	C₂²×C₃	1	2	yes	—
409	C₃×C₄×Q₈	—	3	1	no	—
410	C₃×C₄×Q₈	—	3	1	no	—
411	C₃×C₄×D₄	—	2	1	no	—
412	C₃×C₄×D₄	—	2	1	no	—
413	C₃×C₄×D₄	—	3	2	no	—
414	C₃×C₄×D₄	—	3	1	no	—
415	C₃×C₄×D₄	—	3	2	no	—
416	C₃×C₄×D₄	—	3	1	no	—
417	C₃×C₄×D₄	—	3	2	no	—
418	C₃×C₄×D₄	—	3	1	no	—
419	C₃×C₄×D₄	—	3	2	no	—
420	C₃×C₄×D₄	—	3	2	no	—
421	C₃×C₄×D₄	—	3	2	no	—
422	C₃×C₄×D₄	—	3	1	no	—
423	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
424	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
425	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
426	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
427	C₃×#117	—	3	2	no	—
428	C₃×#117	—	3	1	no	—
429	C₂×C₃×C₄⋊C₄	—	3	2	no	—
430	C₂×C₃×C₄⋊C₄	—	3	2	no	—
431	C₂×C₃×C₄⋊C₄	—	3	2	no	—
432	C₂×C₃×C₄⋊C₄	—	3	1	no	—
433	C₂×C₃×C₄⋊C₄	—	3	2	no	—
434	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
435	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
436	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
437	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	2	yes	—
438	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
439	#953	C₂²×C₃	1	2	yes	—
440	C₂×#217	C₂²×C₃	1	2	yes	—
441	#946	C₂²×C₃	1	1	yes	characteristic, complemented
442	#944	C₂²×C₃	1	1	yes	characteristic, complemented
443	#939	C₂²×C₃	1	1	yes	characteristic
444	#939	C₂²×C₃	1	2	yes	complemented
445	#939	C₂²×C₃	1	2	yes	complemented
446	#939	C₂²×C₃	1	2	yes	complemented
447	#939	C₂²×C₃	1	2	yes	complemented
448	#938	C₂²×C₃	1	1	yes	characteristic, complemented
449	#938	C₂²×C₃	1	2	yes	complemented
450	#937	C₂²×C₃	1	1	yes	characteristic
451	#936	C₂²×C₃	1	1	yes	characteristic, complemented
452	#935	C₂²×C₃	1	2	yes	complemented
453	#935	C₂²×C₃	1	2	yes	complemented
454	D₄×Dic₃	C₂²×C₃	1	2	yes	—
455	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
456	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
457	#930	C₂²×C₃	1	2	yes	complemented
458	#929	C₂²×C₃	1	2	yes	complemented
459	C₄×#67	C₂²×C₃	1	1	yes	characteristic
460	C₄×#67	C₂²×C₃	1	2	yes	complemented
461	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
462	C₂×C₄⋊Dic₃	C₂²×C₃	1	2	yes	complemented
463	#924	C₂²×C₃	1	1	yes	characteristic
464	#924	C₂²×C₃	1	1	yes	characteristic, complemented
465	C₂×Dic₃⋊C₄	C₂²×C₃	1	2	yes	complemented
466	C₂×Dic₃⋊C₄	C₂²×C₃	1	2	yes	complemented
467	#897	C₂²×C₃	1	1	yes	characteristic, complemented
468	#897	C₂²×C₃	1	1	yes	characteristic, complemented
469	#896	C₂²×C₃	1	2	yes	complemented
470	#896	C₂²×C₃	1	1	yes	characteristic, complemented
471	#896	C₂²×C₃	1	2	yes	complemented
472	#894	C₂²×C₃	1	1	yes	characteristic, complemented
473	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
474	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
475	#888	C₂²×C₃	1	2	yes	complemented
476	#888	C₂²×C₃	1	2	yes	complemented
477	#887	C₂²×C₃	1	1	yes	characteristic, complemented
478	#886	C₂²×C₃	1	2	yes	complemented
479	#886	C₂²×C₃	1	2	yes	complemented
480	#885	C₂²×C₃	1	2	yes	complemented
481	#885	C₂²×C₃	1	2	yes	complemented
482	#884	C₂²×C₃	1	2	yes	complemented
483	#884	C₂²×C₃	1	2	yes	complemented
484	#884	C₂²×C₃	1	1	yes	characteristic, complemented
485	#883	C₂²×C₃	1	2	yes	complemented
486	#883	C₂²×C₃	1	2	yes	complemented
487	#883	C₂²×C₃	1	1	yes	characteristic, complemented
488	#882	C₂²×C₃	1	1	yes	characteristic
489	#67⋊C₄	C₂²×C₃	1	2	yes	—
490	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
491	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
492	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
493	#878	C₂²×C₃	1	2	yes	—
494	#878	C₂²×C₃	1	1	yes	characteristic
495	#878	C₂²×C₃	1	2	yes	—
496	#878	C₂²×C₃	1	2	yes	—
497	#878	C₂²×C₃	1	2	yes	complemented
498	#878	C₂²×C₃	1	2	yes	complemented
499	#878	C₂²×C₃	1	2	yes	complemented
500	#878	C₂²×C₃	1	2	yes	complemented
501	#878	C₂²×C₃	1	2	yes	complemented
502	#878	C₂²×C₃	1	2	yes	complemented
503	#877	C₂²×C₃	1	2	yes	complemented
504	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
505	#872	C₂²×C₃	1	1	yes	characteristic, complemented
506	#869	C₂²×C₃	1	1	yes	characteristic, complemented
507	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
508	C₂³×C₃²	—	2	4	no	—
509	C₂³×C₃²	—	2	4	no	—
510	C₂³×C₃²	—	4	2	no	—
511	C₂³×C₃²	C₂⁴	1	2	yes	—
512	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
513	C₂³×C₃²	C₂⁴	1	2	yes	—
514	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
515	C₂²×C₃×D₃	—	2	2	no	—
516	C₂²×C₃×D₃	—	2	2	no	—
517	C₂²×C₃×D₃	—	4	1	no	—
518	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
520	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
521	C₃²×Q₈	—	2	2	no	—
522	C₃²×D₄	—	2	4	no	—
523	C₃²×D₄	—	2	4	no	—
524	C₃²×D₄	—	2	2	no	—
525	C₃²×D₄	—	2	2	no	—
526	C₃²×D₄	—	4	2	no	—
527	C₃²×D₄	C₂×D₄	1	4	yes	—
528	C₂×C₃²×C₄	—	2	4	no	—
529	C₂×C₃²×C₄	—	2	2	no	—
530	C₂×C₃²×C₄	—	2	2	no	—
531	C₂×C₃²×C₄	—	4	2	no	—
532	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
533	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
534	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
535	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
536	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
537	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
538	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
539	C₃×#67	—	2	4	no	—
540	C₃×#67	—	2	4	no	—
541	C₃×#67	—	2	2	no	—
542	C₃×#67	—	2	2	no	—
543	C₃×#67	—	2	4	no	—
544	C₃×#67	—	2	2	no	—
545	C₃×#67	—	2	4	no	—
546	C₃×#67	—	4	2	no	—
547	C₃×#67	—	4	1	no	—
548	C₃×#67	C₂×D₄	1	8	yes	—
549	C₂×C₃×Dic₃	—	2	4	no	—
550	C₂×C₃×Dic₃	—	2	4	no	—
551	C₂×C₃×Dic₃	—	2	4	no	—
552	C₂×C₃×Dic₃	—	2	4	no	—
553	C₂×C₃×Dic₃	—	2	2	no	—
554	C₂×C₃×Dic₃	—	2	4	no	—
555	C₂×C₃×Dic₃	—	2	4	no	—
556	C₂×C₃×Dic₃	—	4	2	no	—
557	C₂×C₃×Dic₃	C₂×D₄	1	8	yes	—
558	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
559	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
560	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
561	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
562	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
563	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
564	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
565	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
566	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
567	C₃×D₁₂	—	2	2	no	—
568	C₃×D₁₂	—	4	1	no	—
569	C₃×C₄×D₃	—	2	2	no	—
570	C₃×C₄×D₃	—	2	4	no	—
571	C₃×C₄×D₃	—	2	2	no	—
572	C₃×C₄×D₃	—	2	2	no	—
573	C₃×C₄×D₃	—	2	2	no	—
574	C₃×C₄×D₃	—	2	4	no	—
575	C₃×C₄×D₃	—	4	2	no	—
576	C₃×C₄×D₃	C₂×D₄	1	4	yes	—
577	C₃×Dic₆	—	2	2	no	—
578	C₃×Dic₆	—	2	2	no	—
579	C₃×Dic₆	—	2	4	no	—
580	C₃×Dic₆	—	2	2	no	—
581	C₃×Dic₆	—	2	4	no	—
582	C₃×Dic₆	—	2	4	no	—
583	C₃×Dic₆	—	2	4	no	—
584	C₃×Dic₆	C₂×D₄	1	4	yes	—
585	C₂×2₋¹⁺⁴	—	3	1	no	—
586	C₂²×#41	—	3	1	no	—
587	D₄×Q₈	—	3	1	no	—
588	D₄×Q₈	—	3	1	no	—
589	#548	—	3	1	no	—
590	#548	—	3	1	no	—
591	#547	—	3	1	no	—
592	#547	—	3	2	no	—
593	#547	—	3	2	no	—
594	#547	—	3	1	no	—
595	#546	—	3	1	no	—
596	#546	—	3	2	no	—
597	#546	—	3	2	no	—
598	#546	C₃×D₃	1	1	yes	characteristic, complemented
599	#537	—	3	2	no	—
600	#537	—	3	1	no	—
601	#536	—	3	1	no	—
602	#536	—	3	2	no	—
603	#525	—	3	2	no	—
604	#525	—	3	1	no	—
605	C₂×C₂²⋊Q₈	—	3	1	no	—
606	C₂×C₂²⋊Q₈	—	3	2	no	—
607	#520	—	3	1	no	—
608	C₂⁴×C₃	—	2	2	no	—
609	C₂⁴×C₃	—	3	1	no	—
610	C₂⁴×C₃	C₂²×D₃	1	2	yes	—
611	C₂⁴×C₃	C₂³×C₃	1	2	yes	—
612	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
613	C₃×#41	—	2	4	no	—
614	C₃×#41	—	2	4	no	—
615	C₃×#41	—	3	8	no	—
616	C₃×#41	—	4	4	no	—
617	C₃×#41	—	6	4	no	—
618	C₃×#41	—	6	8	no	—
619	C₃×#41	—	6	8	no	—
620	C₃×#41	—	6	4	no	—
621	C₃×#41	—	6	8	no	—
622	C₃×#41	—	6	8	no	—
623	C₃×#41	—	6	8	no	—
624	C₃×#41	—	6	4	no	—
625	C₃×#41	—	6	4	no	—
626	C₃×#41	—	6	4	no	—
627	C₂×C₃×Q₈	—	2	1	no	—
628	C₂×C₃×Q₈	—	3	1	no	—
629	C₂×C₃×Q₈	—	3	2	no	—
630	C₂×C₃×Q₈	—	3	1	no	—
631	C₂×C₃×Q₈	—	3	2	no	—
632	C₂×C₃×Q₈	—	3	2	no	—
633	C₂×C₃×Q₈	—	3	1	no	—
634	C₂×C₃×Q₈	—	3	2	no	—
635	C₂×C₃×Q₈	—	3	1	no	—
636	C₂×C₃×Q₈	—	6	8	no	—
637	C₂×C₃×Q₈	—	6	4	no	—
638	C₂×C₃×Q₈	—	6	4	no	—
639	C₂×C₃×Q₈	—	6	4	no	—
640	C₂×C₃×Q₈	—	6	4	no	—
641	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
642	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
643	C₂×C₃×D₄	—	2	4	no	—
644	C₂×C₃×D₄	—	2	4	no	—
645	C₂×C₃×D₄	—	2	1	no	—
646	C₂×C₃×D₄	—	2	1	no	—
647	C₂×C₃×D₄	—	2	2	no	—
648	C₂×C₃×D₄	—	2	2	no	—
649	C₂×C₃×D₄	—	2	1	no	—
650	C₂×C₃×D₄	—	2	2	no	—
651	C₂×C₃×D₄	—	3	2	no	—
652	C₂×C₃×D₄	—	3	1	no	—
653	C₂×C₃×D₄	—	3	1	no	—
654	C₂×C₃×D₄	—	3	2	no	—
655	C₂×C₃×D₄	—	3	1	no	—
656	C₂×C₃×D₄	—	3	2	no	—
657	C₂×C₃×D₄	—	3	2	no	—
658	C₂×C₃×D₄	—	3	2	no	—
659	C₂×C₃×D₄	—	3	1	no	—
660	C₂×C₃×D₄	—	3	2	no	—
661	C₂×C₃×D₄	—	3	1	no	—
662	C₂×C₃×D₄	—	3	1	no	—
663	C₂×C₃×D₄	—	4	4	no	—
664	C₂×C₃×D₄	—	6	8	no	—
665	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
666	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
667	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
668	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
669	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
670	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
671	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
672	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
673	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
674	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
675	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
676	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
677	C₂²×C₃×C₄	—	2	2	no	—
678	C₂²×C₃×C₄	—	2	1	no	—
679	C₂²×C₃×C₄	—	2	1	no	—
680	C₂²×C₃×C₄	—	2	2	no	—
681	C₂²×C₃×C₄	—	3	2	no	—
682	C₂²×C₃×C₄	—	3	1	no	—
683	C₂²×C₃×C₄	—	3	2	no	—
684	C₂²×C₃×C₄	—	3	2	no	—
685	C₂²×C₃×C₄	—	3	2	no	—
686	C₂²×C₃×C₄	—	3	2	no	—
687	C₂²×C₃×C₄	—	3	2	no	—
688	C₂²×C₃×C₄	—	3	1	no	—
689	C₂²×C₃×C₄	—	3	2	no	—
690	C₂²×C₃×C₄	—	3	2	no	—
691	C₂²×C₃×C₄	—	3	2	no	—
692	C₂²×C₃×C₄	—	3	1	no	—
693	C₂²×C₃×C₄	—	3	2	no	—
694	C₂²×C₃×C₄	—	3	1	no	—
695	C₂²×C₃×C₄	—	3	1	no	—
696	C₂²×C₃×C₄	—	3	1	no	—
697	C₂²×C₃×C₄	—	3	2	no	—
698	C₂²×C₃×C₄	—	6	4	no	—
699	C₂²×C₃×C₄	—	6	8	no	—
700	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
701	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
702	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
703	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
704	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
705	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
706	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
707	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
708	C₂×#67	—	2	8	no	—
709	C₂×#67	C₂³×C₃	1	1	yes	characteristic
710	C₂×#67	C₂³×C₃	1	2	yes	—
711	C₂×#67	C₂³×C₃	1	1	yes	characteristic
712	C₂×#67	C₂³×C₃	1	2	yes	—
713	C₂×#67	C₂³×C₃	1	1	yes	characteristic
714	C₂×#67	C₂³×C₃	1	2	yes	—
715	C₂×#67	C₂³×C₃	1	2	yes	—
716	C₂×#67	C₂³×C₃	1	2	yes	—
717	C₂×#67	C₂³×C₃	1	1	yes	characteristic
718	C₂×#67	C₂³×C₃	1	2	yes	—
719	C₂²×Dic₃	—	2	8	no	—
720	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
721	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
722	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
723	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
724	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
725	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
726	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
727	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
728	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
729	D₃×Q₈	—	2	4	no	—
730	D₃×Q₈	—	2	4	no	—
731	#237	—	2	4	no	—
732	#237	—	2	4	no	—
733	#237	—	2	8	no	—
734	#237	—	2	8	no	—
735	#237	—	2	8	no	—
736	#237	—	2	8	no	—
737	#237	—	2	4	no	—
738	#237	—	2	4	no	—
739	#237	C₃×D₄	1	8	yes	complemented
740	#235	—	2	8	no	—
741	#235	—	2	4	no	—
742	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
743	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
744	C₂×C₄×D₃	—	2	4	no	—
745	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
746	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
747	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
748	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
749	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
750	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
751	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
752	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
753	C₂×Dic₆	—	2	8	no	—
754	C₂×Dic₆	—	2	4	no	—
755	C₂×Dic₆	—	2	4	no	—
756	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
757	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
758	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
759	C₂×Dic₆	C₂³×C₃	1	2	yes	—
760	C₂×Dic₆	C₂³×C₃	1	2	yes	—
761	C₂×Dic₆	C₂³×C₃	1	2	yes	—
762	C₂×Dic₆	C₂³×C₃	1	2	yes	—
763	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
764	C₃×C₄⋊C₄	—	2	1	no	—
765	C₃×C₄⋊C₄	—	2	1	no	—
766	C₃×C₄⋊C₄	—	2	2	no	—
767	C₃×C₄⋊C₄	—	3	2	no	—
768	C₃×C₄⋊C₄	—	3	1	no	—
769	C₃×C₄⋊C₄	—	3	2	no	—
770	C₃×C₄⋊C₄	—	3	1	no	—
771	C₃×C₄⋊C₄	—	3	2	no	—
772	C₃×C₄⋊C₄	—	3	2	no	—
773	C₃×C₄⋊C₄	—	3	2	no	—
774	C₃×C₄⋊C₄	—	3	2	no	—
775	C₃×C₄⋊C₄	—	3	2	no	—
776	C₃×C₄⋊C₄	—	3	1	no	—
777	C₃×C₄⋊C₄	—	3	1	no	—
778	C₃×C₄⋊C₄	—	3	2	no	—
779	C₃×C₄⋊C₄	—	3	2	no	—
780	C₃×C₄⋊C₄	—	3	1	no	—
781	C₃×C₄⋊C₄	—	3	1	no	—
782	C₃×C₄⋊C₄	—	3	2	no	—
783	C₃×C₄⋊C₄	—	3	2	no	—
784	C₃×C₄⋊C₄	—	3	2	no	—
785	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
786	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
787	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
788	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
789	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
790	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
791	C₃×C₂²⋊C₄	—	2	1	no	—
792	C₃×C₂²⋊C₄	—	2	2	no	—
793	C₃×C₂²⋊C₄	—	2	2	no	—
794	C₃×C₂²⋊C₄	—	2	2	no	—
795	C₃×C₂²⋊C₄	—	2	2	no	—
796	C₃×C₂²⋊C₄	—	2	1	no	—
797	C₃×C₂²⋊C₄	—	2	2	no	—
798	C₃×C₂²⋊C₄	—	3	1	no	—
799	C₃×C₂²⋊C₄	—	3	2	no	—
800	C₃×C₂²⋊C₄	—	3	2	no	—
801	C₃×C₂²⋊C₄	—	3	2	no	—
802	C₃×C₂²⋊C₄	—	3	2	no	—
803	C₃×C₂²⋊C₄	—	3	1	no	—
804	C₃×C₂²⋊C₄	—	3	2	no	—
805	C₃×C₂²⋊C₄	—	3	2	no	—
806	C₃×C₂²⋊C₄	—	3	2	no	—
807	C₃×C₂²⋊C₄	—	3	2	no	—
808	C₃×C₂²⋊C₄	—	3	1	no	—
809	C₃×C₂²⋊C₄	—	3	1	no	—
810	C₃×C₂²⋊C₄	—	3	1	no	—
811	C₃×C₂²⋊C₄	—	3	1	no	—
812	C₃×C₂²⋊C₄	—	3	1	no	—
813	C₃×C₂²⋊C₄	—	3	1	no	—
814	C₃×C₂²⋊C₄	—	3	2	no	—
815	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
816	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
817	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
818	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
819	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
820	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
821	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
822	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
823	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
824	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
825	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
826	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
827	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
828	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
829	C₃×C₄²	—	2	1	no	—
830	C₃×C₄²	—	3	2	no	—
831	C₃×C₄²	—	3	2	no	—
832	C₃×C₄²	—	3	1	no	—
833	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
834	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
835	#217	C₂³×C₃	1	2	yes	—
836	#217	C₂³×C₃	1	1	yes	characteristic
837	#217	C₂³×C₃	1	2	yes	—
838	#217	C₂³×C₃	1	2	yes	—
839	#217	C₂³×C₃	1	2	yes	—
840	#217	C₂³×C₃	1	2	yes	—
841	#217	C₂³×C₃	1	2	yes	—
842	#217	C₂³×C₃	1	1	yes	characteristic
843	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
844	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
845	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
846	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
847	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
848	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
849	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
850	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
851	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
852	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
853	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
854	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
855	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
856	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
857	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
858	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
859	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
860	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
861	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
862	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
863	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
864	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
865	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
866	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
867	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
868	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
869	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
870	C₄×Dic₃	C₂³×C₃	1	2	yes	—
871	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
872	C₄×Dic₃	C₂³×C₃	1	2	yes	—
873	C₂²×C₃²	—	2	1	no	—
874	C₂²×C₃²	—	2	2	no	—
875	C₂²×C₃²	—	2	2	no	—
876	C₂²×C₃²	—	2	1	no	—
877	C₂²×C₃²	—	2	1	no	—
878	C₂²×C₃²	—	2	2	no	—
879	C₂²×C₃²	—	2	1	no	—
880	C₂²×C₃²	—	2	2	no	—
881	C₂²×C₃²	—	2	1	no	—
882	C₂²×C₃²	—	2	2	no	—
883	C₂²×C₃²	—	4	8	no	—
884	C₂²×C₃²	C₂²×D₄	1	4	yes	—
885	C₂²×C₃²	2₋¹⁺⁴	1	2	yes	complemented
886	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
887	C₂×C₃×D₃	—	2	1	no	—
888	C₂×C₃×D₃	—	2	1	no	—
889	C₂×C₃×D₃	—	2	1	no	—
890	C₂×C₃×D₃	—	2	1	no	—
891	C₂×C₃×D₃	—	2	1	no	—
892	C₂×C₃×D₃	—	2	1	no	—
893	C₂×C₃×D₃	—	2	1	no	—
894	C₂×C₃×D₃	—	2	1	no	—
895	C₂×C₃×D₃	—	4	4	no	—
896	C₂×C₃×D₃	C₂²×D₄	1	2	yes	—
897	C₃²×C₄	—	2	1	no	—
898	C₃²×C₄	—	2	1	no	—
899	C₃²×C₄	—	2	2	no	—
900	C₃²×C₄	—	2	1	no	—
901	C₃²×C₄	—	2	2	no	—
902	C₃²×C₄	—	2	1	no	—
903	C₃²×C₄	C₂²×D₄	1	2	yes	—
904	C₃×Dic₃	—	2	2	no	—
905	C₃×Dic₃	—	2	1	no	—
906	C₃×Dic₃	—	2	2	no	—
907	C₃×Dic₃	—	2	1	no	—
908	C₃×Dic₃	—	2	1	no	—
909	C₃×Dic₃	—	2	2	no	—
910	C₃×Dic₃	—	2	1	no	—
911	C₃×Dic₃	C₂²×D₄	1	4	yes	—
912	C₃×Dic₃	C₂²×D₄	1	2	yes	—
913	2₋¹⁺⁴	—	6	8	no	—
914	C₂×#41	—	3	1	no	—
915	C₂×#41	—	3	2	no	—
916	C₂×#41	—	3	2	no	—
917	C₂×#41	—	3	1	no	—
918	C₂×#41	—	3	1	no	—
919	C₂×#41	—	3	2	no	—
920	C₂×#41	—	3	1	no	—
921	C₂×#41	—	3	2	no	—
922	C₂×#41	—	3	1	no	—
923	C₂×#41	—	3	1	no	—
924	C₂×#41	—	3	2	no	—
925	C₂×#41	—	6	8	no	—
926	C₂×#41	C₂×C₃×D₃	1	1	yes	characteristic, complemented
927	C₂²×Q₈	—	3	1	no	—
928	C₂²×Q₈	—	3	1	no	—
929	C₂²×Q₈	—	3	2	no	—
930	C₂²×Q₈	—	3	1	no	—
931	C₂²×Q₈	—	3	1	no	—
932	C₂²×D₄	—	3	2	no	—
933	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic
934	C₂³×C₄	—	3	2	no	—
935	C₂³×C₄	—	3	1	no	—
936	C₄⋊Q₈	—	3	1	no	—
937	C₄⋊Q₈	—	3	2	no	—
938	C₄⋊Q₈	—	3	2	no	—
939	C₄⋊Q₈	—	3	1	no	—
940	#124	—	3	1	no	—
941	#124	—	3	2	no	—
942	#124	—	3	2	no	—
943	#124	C₂×C₃×D₃	1	1	yes	characteristic, complemented
944	#123	—	3	2	no	—
945	#123	—	3	2	no	—
946	#123	—	3	2	no	—
947	#123	—	3	1	no	—
948	#123	—	3	1	no	—
949	#123	—	3	2	no	—
950	#123	—	3	2	no	—
951	#123	—	3	2	no	—
952	#123	—	3	2	no	—
953	#123	C₂×C₃×D₃	1	2	yes	complemented
954	C₂²⋊Q₈	—	3	1	no	—
955	C₂²⋊Q₈	—	3	1	no	—
956	C₂²⋊Q₈	—	3	1	no	—
957	C₂²⋊Q₈	—	3	2	no	—
958	C₂²⋊Q₈	—	3	1	no	—
959	C₂²⋊Q₈	—	3	1	no	—
960	C₂²⋊Q₈	—	3	2	no	—
961	C₂²⋊Q₈	—	3	1	no	—
962	C₂²⋊Q₈	—	3	2	no	—
963	C₂²⋊Q₈	—	3	1	no	—
964	C₂²⋊Q₈	—	3	2	no	—
965	C₂²⋊Q₈	—	3	2	no	—
966	C₂²⋊Q₈	—	3	2	no	—
967	C₂²⋊Q₈	—	3	2	no	—
968	C₂²⋊Q₈	—	3	2	no	—
969	C₂²⋊Q₈	—	3	2	no	—
970	C₂²⋊Q₈	—	3	2	no	—
971	C₂²⋊Q₈	—	3	2	no	—
972	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic
973	#121	—	3	1	no	—
974	#121	—	3	2	no	—
975	#121	—	3	2	no	—
976	#121	—	3	2	no	—
977	#121	—	3	2	no	—
978	#121	—	3	1	no	—
979	#121	—	3	2	no	—
980	#121	—	3	2	no	—
981	#121	—	3	1	no	—
982	#121	—	3	2	no	—
983	#121	—	3	2	no	—
984	#121	C₂×C₃×D₃	1	2	yes	complemented
985	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
986	#120	—	3	2	no	—
987	#120	—	3	1	no	—
988	#120	—	3	1	no	—
989	#120	C₂×C₃×D₃	1	2	yes	—
990	C₄×Q₈	—	3	1	no	—
991	C₄×Q₈	—	3	1	no	—
992	C₄×D₄	—	3	1	no	—
993	C₄×D₄	—	3	2	no	—
994	C₄×D₄	—	3	2	no	—
995	C₄×D₄	—	3	2	no	—
996	C₄×D₄	—	3	1	no	—
997	C₄×D₄	—	3	1	no	—
998	C₄×D₄	—	3	2	no	—
999	C₄×D₄	—	3	2	no	—
1000	C₄×D₄	—	3	2	no	—
1001	C₄×D₄	—	3	1	no	—
1002	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
1003	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1004	#117	—	3	2	no	—
1005	#117	—	3	1	no	—
1006	C₂×C₄⋊C₄	—	3	2	no	—
1007	C₂×C₄⋊C₄	—	3	2	no	—
1008	C₂×C₄⋊C₄	—	3	2	no	—
1009	C₂×C₄⋊C₄	—	3	1	no	—
1010	C₂×C₄⋊C₄	—	3	2	no	—
1011	C₂×C₂²⋊C₄	—	3	2	no	—
1012	C₂×C₂²⋊C₄	—	3	2	no	—
1013	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	2	yes	—
1014	C₂³×C₃	—	2	4	no	—
1015	C₂³×C₃	—	2	4	no	—
1016	C₂³×C₃	—	2	4	no	—
1017	C₂³×C₃	—	2	4	no	—
1018	C₂³×C₃	—	2	1	no	—
1019	C₂³×C₃	—	2	2	no	—
1020	C₂³×C₃	—	2	2	no	—
1021	C₂³×C₃	—	2	1	no	—
1022	C₂³×C₃	—	3	1	no	—
1023	C₂³×C₃	—	3	1	no	—
1024	C₂³×C₃	—	3	1	no	—
1025	C₂³×C₃	—	4	4	no	—
1026	C₂³×C₃	—	4	4	no	—
1027	C₂³×C₃	—	4	2	no	—
1028	C₂³×C₃	—	4	2	no	—
1029	C₂³×C₃	—	6	2	no	—
1030	C₂³×C₃	—	6	2	no	—
1031	C₂³×C₃	—	8	2	no	—
1032	C₂³×C₃	—	12	1	no	—
1033	C₂³×C₃	C₂³×D₃	1	2	yes	—
1034	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1035	C₂³×C₃	C₂³×D₃	1	2	yes	—
1036	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1037	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
1038	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1039	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
1040	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1041	C₂²×D₃	—	2	2	no	—
1042	C₂²×D₃	—	2	2	no	—
1043	C₂²×D₃	—	4	1	no	—
1044	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1045	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1046	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1047	C₃×Q₈	—	2	2	no	—
1048	C₃×Q₈	—	2	2	no	—
1049	C₃×Q₈	—	3	4	no	—
1050	C₃×Q₈	—	4	2	no	—
1051	C₃×Q₈	—	6	2	no	—
1052	C₃×Q₈	—	6	4	no	—
1053	C₃×Q₈	—	6	4	no	—
1054	C₃×Q₈	—	6	4	no	—
1055	C₃×Q₈	—	6	4	no	—
1056	C₃×Q₈	—	6	2	no	—
1057	C₃×Q₈	—	6	2	no	—
1058	C₃×D₄	—	2	4	no	—
1059	C₃×D₄	—	2	4	no	—
1060	C₃×D₄	—	2	2	no	—
1061	C₃×D₄	—	2	4	no	—
1062	C₃×D₄	—	2	4	no	—
1063	C₃×D₄	—	2	2	no	—
1064	C₃×D₄	—	2	2	no	—
1065	C₃×D₄	—	2	2	no	—
1066	C₃×D₄	—	2	4	no	—
1067	C₃×D₄	—	3	8	no	—
1068	C₃×D₄	—	4	2	no	—
1069	C₃×D₄	—	4	2	no	—
1070	C₃×D₄	—	4	4	no	—
1071	C₃×D₄	—	4	4	no	—
1072	C₃×D₄	—	4	2	no	—
1073	C₃×D₄	—	4	2	no	—
1074	C₃×D₄	—	6	2	no	—
1075	C₃×D₄	—	6	4	no	—
1076	C₃×D₄	—	6	2	no	—
1077	C₃×D₄	—	6	4	no	—
1078	C₃×D₄	—	6	2	no	—
1079	C₃×D₄	—	6	4	no	—
1080	C₃×D₄	—	6	4	no	—
1081	C₃×D₄	—	6	2	no	—
1082	C₃×D₄	—	8	2	no	—
1083	C₃×D₄	—	12	1	no	—
1084	C₃×D₄	—	12	1	no	—
1085	C₃×D₄	—	12	2	no	—
1086	C₃×D₄	D₃×D₄	1	4	yes	—
1087	C₃×D₄	C₂×C₃×D₄	1	4	yes	—
1088	C₂×C₃×C₄	—	2	4	no	—
1089	C₂×C₃×C₄	—	2	4	no	—
1090	C₂×C₃×C₄	—	2	2	no	—
1091	C₂×C₃×C₄	—	2	2	no	—
1092	C₂×C₃×C₄	—	2	2	no	—
1093	C₂×C₃×C₄	—	2	2	no	—
1094	C₂×C₃×C₄	—	2	1	no	—
1095	C₂×C₃×C₄	—	2	1	no	—
1096	C₂×C₃×C₄	—	2	1	no	—
1097	C₂×C₃×C₄	—	2	2	no	—
1098	C₂×C₃×C₄	—	2	1	no	—
1099	C₂×C₃×C₄	—	2	2	no	—
1100	C₂×C₃×C₄	—	2	1	no	—
1101	C₂×C₃×C₄	—	3	8	no	—
1102	C₂×C₃×C₄	—	3	2	no	—
1103	C₂×C₃×C₄	—	3	1	no	—
1104	C₂×C₃×C₄	—	3	4	no	—
1105	C₂×C₃×C₄	—	3	1	no	—
1106	C₂×C₃×C₄	—	3	1	no	—
1107	C₂×C₃×C₄	—	3	2	no	—
1108	C₂×C₃×C₄	—	3	1	no	—
1109	C₂×C₃×C₄	—	3	2	no	—
1110	C₂×C₃×C₄	—	3	1	no	—
1111	C₂×C₃×C₄	—	3	2	no	—
1112	C₂×C₃×C₄	—	4	2	no	—
1113	C₂×C₃×C₄	—	4	2	no	—
1114	C₂×C₃×C₄	—	4	4	no	—
1115	C₂×C₃×C₄	—	4	2	no	—
1116	C₂×C₃×C₄	—	4	2	no	—
1117	C₂×C₃×C₄	—	6	2	no	—
1118	C₂×C₃×C₄	—	6	4	no	—
1119	C₂×C₃×C₄	—	6	2	no	—
1120	C₂×C₃×C₄	—	6	4	no	—
1121	C₂×C₃×C₄	—	6	2	no	—
1122	C₂×C₃×C₄	—	6	4	no	—
1123	C₂×C₃×C₄	—	6	4	no	—
1124	C₂×C₃×C₄	—	6	4	no	—
1125	C₂×C₃×C₄	—	6	4	no	—
1126	C₂×C₃×C₄	—	6	4	no	—
1127	C₂×C₃×C₄	—	6	4	no	—
1128	C₂×C₃×C₄	—	6	2	no	—
1129	C₂×C₃×C₄	—	6	2	no	—
1130	C₂×C₃×C₄	—	8	2	no	—
1131	C₂×C₃×C₄	—	12	2	no	—
1132	C₂×C₃×C₄	—	12	2	no	—
1133	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1134	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1135	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1136	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1137	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1138	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1139	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1140	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1141	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1142	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1143	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1144	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1145	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1146	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1147	#67	—	2	4	no	—
1148	#67	—	2	4	no	—
1149	#67	—	2	2	no	—
1150	#67	—	2	2	no	—
1151	#67	—	2	4	no	—
1152	#67	—	2	2	no	—
1153	#67	—	2	4	no	—
1154	#67	—	4	2	no	—
1155	#67	—	4	1	no	—
1156	#67	C₂×C₃×D₄	1	8	yes	—
1157	C₂×Dic₃	—	2	4	no	—
1158	C₂×Dic₃	—	2	4	no	—
1159	C₂×Dic₃	—	2	4	no	—
1160	C₂×Dic₃	—	2	4	no	—
1161	C₂×Dic₃	—	2	2	no	—
1162	C₂×Dic₃	—	2	4	no	—
1163	C₂×Dic₃	—	2	4	no	—
1164	C₂×Dic₃	—	4	2	no	—
1165	C₂×Dic₃	C₂×C₃×D₄	1	8	yes	—
1166	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1167	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1168	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1169	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1170	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1171	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1172	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1173	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1174	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1175	D₁₂	—	2	2	no	—
1176	D₁₂	—	4	1	no	—
1177	C₄×D₃	—	2	2	no	—
1178	C₄×D₃	—	2	4	no	—
1179	C₄×D₃	—	2	2	no	—
1180	C₄×D₃	—	2	2	no	—
1181	C₄×D₃	—	2	2	no	—
1182	C₄×D₃	—	2	4	no	—
1183	C₄×D₃	—	4	2	no	—
1184	C₄×D₃	C₂×C₃×D₄	1	4	yes	—
1185	Dic₆	—	2	2	no	—
1186	Dic₆	—	2	2	no	—
1187	Dic₆	—	2	4	no	—
1188	Dic₆	—	2	2	no	—
1189	Dic₆	—	2	4	no	—
1190	Dic₆	—	2	4	no	—
1191	Dic₆	—	2	4	no	—
1192	Dic₆	C₂×C₃×D₄	1	4	yes	—
1193	C₂×C₃²	—	2	2	no	—
1194	C₂×C₃²	—	2	4	no	—
1195	C₂×C₃²	—	4	1	no	—
1196	C₂×C₃²	—	4	2	no	—
1197	C₂×C₃²	C₂³×D₄	1	1	yes	characteristic
1198	C₂×C₃²	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1199	C₂×C₃²	#585	1	1	yes	characteristic
1200	C₃×D₃	—	2	2	no	—
1201	C₃×D₃	—	4	1	no	—
1202	C₃×D₃	—	4	1	no	—
1203	C₂⁴	—	3	1	no	—
1204	C₂⁴	C₂²×C₃×D₃	1	2	yes	—
1205	#41	—	2	4	no	—
1206	#41	—	3	8	no	—
1207	#41	—	6	4	no	—
1208	#41	—	6	8	no	—
1209	#41	—	6	8	no	—
1210	#41	—	6	4	no	—
1211	#41	—	6	8	no	—
1212	#41	—	6	8	no	—
1213	#41	—	6	8	no	—
1214	#41	—	6	4	no	—
1215	#41	—	6	4	no	—
1216	#41	—	6	4	no	—
1217	C₂×Q₈	—	3	1	no	—
1218	C₂×Q₈	—	3	2	no	—
1219	C₂×Q₈	—	3	1	no	—
1220	C₂×Q₈	—	3	2	no	—
1221	C₂×Q₈	—	3	2	no	—
1222	C₂×Q₈	—	3	1	no	—
1223	C₂×Q₈	—	3	2	no	—
1224	C₂×Q₈	—	3	1	no	—
1225	C₂×Q₈	—	6	8	no	—
1226	C₂×Q₈	—	6	4	no	—
1227	C₂×Q₈	—	6	4	no	—
1228	C₂×Q₈	—	6	4	no	—
1229	C₂×Q₈	—	6	4	no	—
1230	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1231	C₂×D₄	—	2	4	no	—
1232	C₂×D₄	—	3	2	no	—
1233	C₂×D₄	—	3	1	no	—
1234	C₂×D₄	—	3	1	no	—
1235	C₂×D₄	—	3	2	no	—
1236	C₂×D₄	—	3	1	no	—
1237	C₂×D₄	—	3	2	no	—
1238	C₂×D₄	—	3	2	no	—
1239	C₂×D₄	—	3	2	no	—
1240	C₂×D₄	—	3	1	no	—
1241	C₂×D₄	—	3	2	no	—
1242	C₂×D₄	—	3	1	no	—
1243	C₂×D₄	—	3	1	no	—
1244	C₂×D₄	—	6	8	no	—
1245	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1246	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1247	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1248	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1249	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1250	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1251	C₂²×C₄	—	3	2	no	—
1252	C₂²×C₄	—	3	1	no	—
1253	C₂²×C₄	—	3	2	no	—
1254	C₂²×C₄	—	3	2	no	—
1255	C₂²×C₄	—	3	2	no	—
1256	C₂²×C₄	—	3	2	no	—
1257	C₂²×C₄	—	3	2	no	—
1258	C₂²×C₄	—	3	1	no	—
1259	C₂²×C₄	—	3	2	no	—
1260	C₂²×C₄	—	3	2	no	—
1261	C₂²×C₄	—	3	2	no	—
1262	C₂²×C₄	—	3	1	no	—
1263	C₂²×C₄	—	3	2	no	—
1264	C₂²×C₄	—	3	1	no	—
1265	C₂²×C₄	—	3	1	no	—
1266	C₂²×C₄	—	3	1	no	—
1267	C₂²×C₄	—	3	2	no	—
1268	C₂²×C₄	—	6	4	no	—
1269	C₂²×C₄	—	6	8	no	—
1270	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1271	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1272	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1273	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1274	C₄⋊C₄	—	3	2	no	—
1275	C₄⋊C₄	—	3	1	no	—
1276	C₄⋊C₄	—	3	2	no	—
1277	C₄⋊C₄	—	3	1	no	—
1278	C₄⋊C₄	—	3	2	no	—
1279	C₄⋊C₄	—	3	1	no	—
1280	C₄⋊C₄	—	3	2	no	—
1281	C₄⋊C₄	—	3	2	no	—
1282	C₄⋊C₄	—	3	1	no	—
1283	C₄⋊C₄	—	3	2	no	—
1284	C₄⋊C₄	—	3	2	no	—
1285	C₄⋊C₄	—	3	2	no	—
1286	C₄⋊C₄	—	3	2	no	—
1287	C₄⋊C₄	—	3	2	no	—
1288	C₄⋊C₄	—	3	1	no	—
1289	C₄⋊C₄	—	3	1	no	—
1290	C₄⋊C₄	—	3	2	no	—
1291	C₄⋊C₄	—	3	2	no	—
1292	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1293	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1294	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1295	C₂²⋊C₄	—	3	1	no	—
1296	C₂²⋊C₄	—	3	2	no	—
1297	C₂²⋊C₄	—	3	2	no	—
1298	C₂²⋊C₄	—	3	2	no	—
1299	C₂²⋊C₄	—	3	2	no	—
1300	C₂²⋊C₄	—	3	1	no	—
1301	C₂²⋊C₄	—	3	2	no	—
1302	C₂²⋊C₄	—	3	2	no	—
1303	C₂²⋊C₄	—	3	2	no	—
1304	C₂²⋊C₄	—	3	2	no	—
1305	C₂²⋊C₄	—	3	1	no	—
1306	C₂²⋊C₄	—	3	1	no	—
1307	C₂²⋊C₄	—	3	1	no	—
1308	C₂²⋊C₄	—	3	1	no	—
1309	C₂²⋊C₄	—	3	1	no	—
1310	C₂²⋊C₄	—	3	1	no	—
1311	C₂²⋊C₄	—	3	2	no	—
1312	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1313	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1314	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1315	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1316	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1317	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1318	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1319	C₄²	—	3	2	no	—
1320	C₄²	—	3	2	no	—
1321	C₄²	—	3	1	no	—
1322	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1323	C₂²×C₃	—	2	1	no	—
1324	C₂²×C₃	—	2	2	no	—
1325	C₂²×C₃	—	2	2	no	—
1326	C₂²×C₃	—	2	1	no	—
1327	C₂²×C₃	—	2	1	no	—
1328	C₂²×C₃	—	2	2	no	—
1329	C₂²×C₃	—	2	2	no	—
1330	C₂²×C₃	—	2	1	no	—
1331	C₂²×C₃	—	2	1	no	—
1332	C₂²×C₃	—	2	2	no	—
1333	C₂²×C₃	—	2	1	no	—
1334	C₂²×C₃	—	2	2	no	—
1335	C₂²×C₃	—	2	1	no	—
1336	C₂²×C₃	—	2	2	no	—
1337	C₂²×C₃	—	2	1	no	—
1338	C₂²×C₃	—	2	2	no	—
1339	C₂²×C₃	—	2	1	no	—
1340	C₂²×C₃	—	2	2	no	—
1341	C₂²×C₃	—	2	1	no	—
1342	C₂²×C₃	—	2	2	no	—
1343	C₂²×C₃	—	2	4	no	—
1344	C₂²×C₃	—	2	2	no	—
1345	C₂²×C₃	—	2	1	no	—
1346	C₂²×C₃	—	3	2	no	—
1347	C₂²×C₃	—	4	1	no	—
1348	C₂²×C₃	—	4	2	no	—
1349	C₂²×C₃	—	4	2	no	—
1350	C₂²×C₃	—	4	1	no	—
1351	C₂²×C₃	—	4	1	no	—
1352	C₂²×C₃	—	4	2	no	—
1353	C₂²×C₃	—	4	1	no	—
1354	C₂²×C₃	—	4	1	no	—
1355	C₂²×C₃	—	4	2	no	—
1356	C₂²×C₃	—	4	2	no	—
1357	C₂²×C₃	—	4	8	no	—
1358	C₂²×C₃	—	4	8	no	—
1359	C₂²×C₃	—	6	1	no	—
1360	C₂²×C₃	—	6	1	no	—
1361	C₂²×C₃	—	6	1	no	—
1362	C₂²×C₃	—	6	1	no	—
1363	C₂²×C₃	—	6	1	no	—
1364	C₂²×C₃	—	6	1	no	—
1365	C₂²×C₃	—	6	1	no	—
1366	C₂²×C₃	—	6	1	no	—
1367	C₂²×C₃	—	8	8	no	—
1368	C₂²×C₃	—	12	4	no	—
1369	C₂²×C₃	C₂×D₃×D₄	1	4	yes	—
1370	C₂²×C₃	#1010	1	2	yes	complemented
1371	C₂²×C₃	C₂²×C₃×D₄	1	4	yes	—
1372	C₂²×C₃	C₃×2₋¹⁺⁴	1	2	yes	complemented
1373	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1374	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1375	C₂×D₃	—	2	1	no	—
1376	C₂×D₃	—	2	1	no	—
1377	C₂×D₃	—	2	1	no	—
1378	C₂×D₃	—	2	1	no	—
1379	C₂×D₃	—	2	1	no	—
1380	C₂×D₃	—	2	1	no	—
1381	C₂×D₃	—	2	1	no	—
1382	C₂×D₃	—	2	1	no	—
1383	C₂×D₃	—	4	4	no	—
1384	C₂×D₃	C₂²×C₃×D₄	1	2	yes	—
1385	C₃×C₄	—	2	1	no	—
1386	C₃×C₄	—	2	1	no	—
1387	C₃×C₄	—	2	2	no	—
1388	C₃×C₄	—	2	1	no	—
1389	C₃×C₄	—	2	1	no	—
1390	C₃×C₄	—	2	2	no	—
1391	C₃×C₄	—	2	1	no	—
1392	C₃×C₄	—	2	1	no	—
1393	C₃×C₄	—	2	2	no	—
1394	C₃×C₄	—	2	1	no	—
1395	C₃×C₄	—	2	2	no	—
1396	C₃×C₄	—	2	1	no	—
1397	C₃×C₄	—	2	2	no	—
1398	C₃×C₄	—	3	2	no	—
1399	C₃×C₄	—	3	4	no	—
1400	C₃×C₄	—	4	1	no	—
1401	C₃×C₄	—	4	1	no	—
1402	C₃×C₄	—	4	2	no	—
1403	C₃×C₄	—	4	1	no	—
1404	C₃×C₄	—	4	2	no	—
1405	C₃×C₄	—	4	1	no	—
1406	C₃×C₄	—	6	1	no	—
1407	C₃×C₄	—	6	2	no	—
1408	C₃×C₄	—	6	2	no	—
1409	C₃×C₄	—	6	1	no	—
1410	C₃×C₄	—	6	1	no	—
1411	C₃×C₄	—	6	2	no	—
1412	C₃×C₄	—	6	1	no	—
1413	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
1414	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
1415	Dic₃	—	2	2	no	—
1416	Dic₃	—	2	1	no	—
1417	Dic₃	—	2	2	no	—
1418	Dic₃	—	2	1	no	—
1419	Dic₃	—	2	1	no	—
1420	Dic₃	—	2	2	no	—
1421	Dic₃	—	2	1	no	—
1422	Dic₃	C₂²×C₃×D₄	1	4	yes	—
1423	Dic₃	C₂²×C₃×D₄	1	2	yes	—
1424	C₃²	#3489	1	1	yes	characteristic, complemented, Sylow
1425	C₂³	—	2	4	no	—
1426	C₂³	—	2	4	no	—
1427	C₂³	—	3	1	no	—
1428	C₂³	—	3	1	no	—
1429	C₂³	—	3	1	no	—
1430	C₂³	—	4	2	no	—
1431	C₂³	—	6	2	no	—
1432	C₂³	—	6	2	no	—
1433	C₂³	—	12	1	no	—
1434	C₂³	C₂³×C₃×D₃	1	2	yes	—
1435	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1436	C₂³	C₂³×C₃×D₃	1	2	yes	—
1437	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1438	Q₈	—	2	2	no	—
1439	Q₈	—	3	4	no	—
1440	Q₈	—	6	2	no	—
1441	Q₈	—	6	4	no	—
1442	Q₈	—	6	4	no	—
1443	Q₈	—	6	4	no	—
1444	Q₈	—	6	4	no	—
1445	Q₈	—	6	2	no	—
1446	Q₈	—	6	2	no	—
1447	D₄	—	2	4	no	—
1448	D₄	—	2	4	no	—
1449	D₄	—	2	2	no	—
1450	D₄	—	2	2	no	—
1451	D₄	—	3	8	no	—
1452	D₄	—	4	2	no	—
1453	D₄	—	6	2	no	—
1454	D₄	—	6	4	no	—
1455	D₄	—	6	2	no	—
1456	D₄	—	6	4	no	—
1457	D₄	—	6	2	no	—
1458	D₄	—	6	4	no	—
1459	D₄	—	6	4	no	—
1460	D₄	—	6	2	no	—
1461	D₄	—	12	1	no	—
1462	D₄	—	12	1	no	—
1463	D₄	—	12	2	no	—
1464	D₄	C₃×D₃×D₄	1	4	yes	—
1465	C₂×C₄	—	2	4	no	—
1466	C₂×C₄	—	2	2	no	—
1467	C₂×C₄	—	2	2	no	—
1468	C₂×C₄	—	3	8	no	—
1469	C₂×C₄	—	3	2	no	—
1470	C₂×C₄	—	3	1	no	—
1471	C₂×C₄	—	3	4	no	—
1472	C₂×C₄	—	3	1	no	—
1473	C₂×C₄	—	3	1	no	—
1474	C₂×C₄	—	3	2	no	—
1475	C₂×C₄	—	3	1	no	—
1476	C₂×C₄	—	3	2	no	—
1477	C₂×C₄	—	3	1	no	—
1478	C₂×C₄	—	3	2	no	—
1479	C₂×C₄	—	4	2	no	—
1480	C₂×C₄	—	6	2	no	—
1481	C₂×C₄	—	6	4	no	—
1482	C₂×C₄	—	6	2	no	—
1483	C₂×C₄	—	6	4	no	—
1484	C₂×C₄	—	6	2	no	—
1485	C₂×C₄	—	6	4	no	—
1486	C₂×C₄	—	6	4	no	—
1487	C₂×C₄	—	6	4	no	—
1488	C₂×C₄	—	6	4	no	—
1489	C₂×C₄	—	6	4	no	—
1490	C₂×C₄	—	6	4	no	—
1491	C₂×C₄	—	6	2	no	—
1492	C₂×C₄	—	6	2	no	—
1493	C₂×C₄	—	12	2	no	—
1494	C₂×C₄	—	12	2	no	—
1495	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1496	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1497	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1498	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1499	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1500	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1501	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1502	C₂×C₃	—	2	2	no	—
1503	C₂×C₃	—	2	4	no	—
1504	C₂×C₃	—	2	2	no	—
1505	C₂×C₃	—	2	4	no	—
1506	C₂×C₃	—	2	1	no	—
1507	C₂×C₃	—	2	1	no	—
1508	C₂×C₃	—	2	1	no	—
1509	C₂×C₃	—	4	2	no	—
1510	C₂×C₃	—	4	4	no	—
1511	C₂×C₃	—	4	2	no	—
1512	C₂×C₃	—	4	1	no	—
1513	C₂×C₃	—	4	2	no	—
1514	C₂×C₃	—	4	1	no	—
1515	C₂×C₃	—	6	2	no	—
1516	C₂×C₃	—	8	2	no	—
1517	C₂×C₃	—	8	1	no	—
1518	C₂×C₃	—	12	1	no	—
1519	C₂×C₃	—	12	1	no	—
1520	C₂×C₃	C₂²×D₃×D₄	1	1	yes	characteristic
1521	C₂×C₃	C₂×#1010	1	1	yes	characteristic
1522	C₂×C₃	#5966	1	1	yes	characteristic
1523	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
1524	C₂×C₃	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1525	C₂×C₃	C₃×#585	1	1	yes	characteristic
1526	D₃	—	2	2	no	—
1527	D₃	—	4	1	no	—
1528	D₃	—	4	1	no	—
1529	C₂²	—	2	1	no	—
1530	C₂²	—	2	2	no	—
1531	C₂²	—	2	2	no	—
1532	C₂²	—	2	1	no	—
1533	C₂²	—	2	1	no	—
1534	C₂²	—	2	2	no	—
1535	C₂²	—	2	1	no	—
1536	C₂²	—	2	2	no	—
1537	C₂²	—	2	1	no	—
1538	C₂²	—	2	2	no	—
1539	C₂²	—	3	2	no	—
1540	C₂²	—	4	8	no	—
1541	C₂²	—	6	1	no	—
1542	C₂²	—	6	1	no	—
1543	C₂²	—	6	1	no	—
1544	C₂²	—	6	1	no	—
1545	C₂²	—	6	1	no	—
1546	C₂²	—	6	1	no	—
1547	C₂²	—	6	1	no	—
1548	C₂²	—	6	1	no	—
1549	C₂²	—	12	4	no	—
1550	C₂²	C₂×C₃×D₃×D₄	1	4	yes	—
1551	C₂²	C₃×#1010	1	2	yes	complemented
1552	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1553	C₄	—	2	1	no	—
1554	C₄	—	2	1	no	—
1555	C₄	—	2	2	no	—
1556	C₄	—	2	1	no	—
1557	C₄	—	2	1	no	—
1558	C₄	—	2	2	no	—
1559	C₄	—	3	2	no	—
1560	C₄	—	3	4	no	—
1561	C₄	—	6	1	no	—
1562	C₄	—	6	2	no	—
1563	C₄	—	6	2	no	—
1564	C₄	—	6	1	no	—
1565	C₄	—	6	1	no	—
1566	C₄	—	6	2	no	—
1567	C₄	—	6	1	no	—
1568	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1569	C₃	—	2	1	no	—
1570	C₃	#86630	1	1	yes	characteristic, direct product factor
1571	C₃	C₃×#3489	1	1	yes	characteristic, complemented
1572	C₂	—	2	2	no	—
1573	C₂	—	2	4	no	—
1574	C₂	—	4	2	no	—
1575	C₂	—	4	1	no	—
1576	C₂	—	6	2	no	—
1577	C₂	—	12	1	no	—
1578	C₂	—	12	1	no	—
1579	C₂	C₂²×C₃×D₃×D₄	1	1	yes	characteristic
1580	C₂	C₂×C₃×#1010	1	1	yes	characteristic
1581	C₂	C₃×#5966	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×#546	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#546	D₃
hypocenter	C₃	C₃×#3489
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#546

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#1010	C₂	semidirect
2. C₂²×C₃×#237	C₂	semidirect
3. C₃²×#546	C₂	semidirect
4. C₃×#5824	C₂	semidirect
5. C₃×#5806	C₂	semidirect
6. C₃×#5677	C₂	semidirect
7. C₃×#5675	C₂	semidirect
8. C₃×#5655	C₂	semidirect
9. C₃×#5648	C₂	semidirect
10. C₃×#5632	C₂	semidirect
11. C₃×D₃×C₂²⋊Q₈	C₂	semidirect
12. C₃×#5611	C₂	semidirect
13. C₃×#5608	C₂	semidirect
14. C₃×#5598	C₂	semidirect
15. C₃×#5597	C₂	semidirect
16. C₃×#5591	C₂	semidirect
17. C₃×#5586	C₂	semidirect
18. C₃×#5555	C₂	semidirect
19. C₃×#5547	C₂	semidirect
20. C₃×#5546	C₂	semidirect
21. C₃×D₄×Dic₆	C₂	semidirect
22. C₃×#5490	C₂	semidirect
23. C₂×C₃×#878	C₂	semidirect
25. #86630	C₃	direct (N × H)
26. C₂×C₃²×#41	C₂²	semidirect
31. C₂×C₃×D₃×Q₈	C₂²	semidirect
32. C₂×C₃×D₃×Q₈	C₂²	semidirect
40. C₂×C₃×#237	C₂²	semidirect
41. C₂×C₃×#237	C₂²	semidirect
42. C₂×C₃×#237	C₂²	semidirect
43. C₂×C₃×#235	C₂²	semidirect
44. C₂×C₃×#235	C₂²	semidirect
47. C₂²×C₃×Dic₆	C₂²	semidirect
48. C₂²×C₃×Dic₆	C₂²	semidirect
49. C₃²×#124	C₂²	semidirect
50. C₃²×#123	C₂²	semidirect
52. C₃²×#121	C₂²	semidirect
53. C₃²×#121	C₂²	semidirect
56. C₃²×C₄×D₄	C₂²	semidirect
60. C₃×#946	C₂²	semidirect
61. C₃×#944	C₂²	semidirect
63. C₃×#939	C₂²	semidirect
64. C₃×#939	C₂²	semidirect
65. C₃×#939	C₂²	semidirect
66. C₃×#939	C₂²	semidirect
67. C₃×#938	C₂²	semidirect
68. C₃×#938	C₂²	semidirect
70. C₃×#936	C₂²	semidirect
71. C₃×#935	C₂²	semidirect
72. C₃×#935	C₂²	semidirect
74. C₃×D₄×Dic₃	C₂²	semidirect
75. C₃×D₄×Dic₃	C₂²	semidirect
76. C₃×#930	C₂²	semidirect
77. C₃×#929	C₂²	semidirect
79. C₃×C₄×#67	C₂²	semidirect
80. C₃×C₄×#67	C₂²	semidirect
81. C₂×C₃×C₄⋊Dic₃	C₂²	semidirect
83. C₃×#924	C₂²	semidirect
84. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
85. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
86. C₃×#897	C₂²	semidirect
87. C₃×#897	C₂²	semidirect
88. C₃×#896	C₂²	semidirect
89. C₃×#896	C₂²	semidirect
90. C₃×#896	C₂²	semidirect
91. C₃×#894	C₂²	semidirect
92. C₃×D₃×C₄⋊C₄	C₂²	semidirect
93. C₃×D₃×C₄⋊C₄	C₂²	semidirect
94. C₃×#888	C₂²	semidirect
95. C₃×#888	C₂²	semidirect
96. C₃×#887	C₂²	semidirect
97. C₃×#886	C₂²	semidirect
98. C₃×#886	C₂²	semidirect
99. C₃×#885	C₂²	semidirect
100. C₃×#885	C₂²	semidirect
101. C₃×#884	C₂²	semidirect
102. C₃×#884	C₂²	semidirect
103. C₃×#884	C₂²	semidirect
104. C₃×#883	C₂²	semidirect
105. C₃×#883	C₂²	semidirect
106. C₃×#883	C₂²	semidirect
109. C₃×#67⋊C₄	C₂²	semidirect
110. C₃×#67⋊C₄	C₂²	semidirect
116. C₃×#878	C₂²	semidirect
117. C₃×#878	C₂²	semidirect
118. C₃×#878	C₂²	semidirect
119. C₃×#878	C₂²	semidirect
120. C₃×#878	C₂²	semidirect
121. C₃×#878	C₂²	semidirect
122. C₃×#877	C₂²	semidirect
123. C₃×C₄×D₁₂	C₂²	semidirect
124. C₃×#872	C₂²	semidirect
125. C₃×#869	C₂²	semidirect
126. C₃×C₄×Dic₆	C₂²	semidirect
129. C₂×#1010	C₂×C₃	semidirect
130. C₂²×#237	C₂×C₃	semidirect
143. C₃×#546	D₃	semidirect
144. C₃×#546	C₂×C₃	semidirect
154. #5824	C₂×C₃	semidirect
155. #5806	C₂×C₃	semidirect
156. #5677	C₂×C₃	semidirect
157. #5675	C₂×C₃	semidirect
158. #5655	C₂×C₃	semidirect
159. #5648	C₂×C₃	semidirect
160. #5632	C₂×C₃	semidirect
161. D₃×C₂²⋊Q₈	C₂×C₃	semidirect
162. #5611	C₂×C₃	semidirect
163. #5608	C₂×C₃	semidirect
164. #5598	C₂×C₃	semidirect
165. #5597	C₂×C₃	semidirect
166. #5591	C₂×C₃	semidirect
167. #5586	C₂×C₃	semidirect
168. #5555	C₂×C₃	semidirect
169. #5547	C₂×C₃	semidirect
170. #5546	C₂×C₃	semidirect
171. D₄×Dic₆	C₂×C₃	semidirect
172. #5490	C₂×C₃	semidirect
173. C₂×#878	C₂×C₃	semidirect
220. C₃×#237	D₄	semidirect
309. C₂×C₃×#41	C₂×D₃	semidirect
310. C₂×C₃×#41	C₂²×C₃	semidirect
325. C₂×D₃×Q₈	C₂²×C₃	semidirect
326. C₂×D₃×Q₈	C₂²×C₃	semidirect
334. C₂×#237	C₂²×C₃	semidirect
335. C₂×#237	C₂²×C₃	semidirect
336. C₂×#237	C₂²×C₃	semidirect
337. C₂×#235	C₂²×C₃	semidirect
338. C₂×#235	C₂²×C₃	semidirect
341. C₂²×Dic₆	C₂²×C₃	semidirect
342. C₂²×Dic₆	C₂²×C₃	semidirect
351. C₃×#124	C₂×D₃	semidirect
352. C₃×#124	C₂²×C₃	semidirect
363. C₃×#123	C₂×D₃	semidirect
364. C₃×#123	C₂²×C₃	semidirect
399. C₃×#121	C₂×D₃	semidirect
400. C₃×#121	C₂×D₃	semidirect
401. C₃×#121	C₂²×C₃	semidirect
402. C₃×#121	C₂²×C₃	semidirect
424. C₃×C₄×D₄	C₂×D₃	semidirect
426. C₃×C₄×D₄	C₂²×C₃	semidirect
441. #946	C₂²×C₃	semidirect
442. #944	C₂²×C₃	semidirect
444. #939	C₂²×C₃	semidirect
445. #939	C₂²×C₃	semidirect
446. #939	C₂²×C₃	semidirect
447. #939	C₂²×C₃	semidirect
448. #938	C₂²×C₃	semidirect
449. #938	C₂²×C₃	semidirect
451. #936	C₂²×C₃	semidirect
452. #935	C₂²×C₃	semidirect
453. #935	C₂²×C₃	semidirect
455. D₄×Dic₃	C₂²×C₃	semidirect
456. D₄×Dic₃	C₂²×C₃	semidirect
457. #930	C₂²×C₃	semidirect
458. #929	C₂²×C₃	semidirect
460. C₄×#67	C₂²×C₃	semidirect
461. C₄×#67	C₂²×C₃	semidirect
462. C₂×C₄⋊Dic₃	C₂²×C₃	semidirect
464. #924	C₂²×C₃	semidirect
465. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
466. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
467. #897	C₂²×C₃	semidirect
468. #897	C₂²×C₃	semidirect
469. #896	C₂²×C₃	semidirect
470. #896	C₂²×C₃	semidirect
471. #896	C₂²×C₃	semidirect
472. #894	C₂²×C₃	semidirect
473. D₃×C₄⋊C₄	C₂²×C₃	semidirect
474. D₃×C₄⋊C₄	C₂²×C₃	semidirect
475. #888	C₂²×C₃	semidirect
476. #888	C₂²×C₃	semidirect
477. #887	C₂²×C₃	semidirect
478. #886	C₂²×C₃	semidirect
479. #886	C₂²×C₃	semidirect
480. #885	C₂²×C₃	semidirect
481. #885	C₂²×C₃	semidirect
482. #884	C₂²×C₃	semidirect
483. #884	C₂²×C₃	semidirect
484. #884	C₂²×C₃	semidirect
485. #883	C₂²×C₃	semidirect
486. #883	C₂²×C₃	semidirect
487. #883	C₂²×C₃	semidirect
490. #67⋊C₄	C₂²×C₃	semidirect
491. #67⋊C₄	C₂²×C₃	semidirect
497. #878	C₂²×C₃	semidirect
498. #878	C₂²×C₃	semidirect
499. #878	C₂²×C₃	semidirect
500. #878	C₂²×C₃	semidirect
501. #878	C₂²×C₃	semidirect
502. #878	C₂²×C₃	semidirect
503. #877	C₂²×C₃	semidirect
504. C₄×D₁₂	C₂²×C₃	semidirect
505. #872	C₂²×C₃	semidirect
506. #869	C₂²×C₃	semidirect
507. C₄×Dic₆	C₂²×C₃	semidirect
598. #546	C₃×D₃	semidirect
739. #237	C₃×D₄	semidirect
885. C₂²×C₃²	2₋¹⁺⁴	semidirect
926. C₂×#41	C₂×C₃×D₃	semidirect
943. #124	C₂×C₃×D₃	semidirect
953. #123	C₂×C₃×D₃	semidirect
984. #121	C₂×C₃×D₃	semidirect
985. #121	C₂×C₃×D₃	semidirect
1003. C₄×D₄	C₂×C₃×D₃	semidirect
1370. C₂²×C₃	#1010	semidirect
1372. C₂²×C₃	C₃×2₋¹⁺⁴	semidirect
1424. C₃²	#3489	semidirect
1551. C₂²	C₃×#1010	semidirect
1570. C₃	#86630	direct (N × H)
1571. C₃	C₃×#3489	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×#1010	2
C₂²×C₃×#237	2
C₃²×#546	2
C₃×#5824	2
C₃×#5806	2
C₃×#5677	2
C₃×#5675	2
C₃×#5655	2
C₃×#5648	2
C₃×#5632	2
C₃×D₃×C₂²⋊Q₈	2
C₃×#5611	2
C₃×#5608	2
C₃×#5598	2
C₃×#5597	2
C₃×#5591	2
C₃×#5586	2
C₃×#5555	2
C₃×#5547	2
C₃×#5546	2
C₃×D₄×Dic₆	2
C₃×#5490	2
C₂×C₃×#878	2
C₃×#3489	3
#86630	3

Subgroups — C3×#86630 #11904708

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86630 #11904708