Subgroups — C₃×#86677 #11904717

Order 1152.

3190 conjugacy classes of subgroups.

The subgroup lattice has 1576 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	C₂×C₃×D₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃²×#547	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5829	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5824	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5727	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5724	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5656	C₂	1	2	yes	maximal, complemented
9	C₃×#5655	C₂	1	2	yes	maximal, complemented
10	C₃×#5654	C₂	1	2	yes	maximal, complemented
11	C₃×#5648	C₂	1	2	yes	maximal, complemented
12	C₃×#5633	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5632	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5629	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×D₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5610	C₂	1	2	yes	maximal, complemented
17	C₃×#5597	C₂	1	2	yes	maximal, complemented
18	C₃×#5554	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5552	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5547	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#5546	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₃×#896	C₂	1	2	yes	maximal, complemented
23	C₃×#5507	C₂	1	2	yes	maximal, complemented
24	C₃×#3489	—	3	1	no	maximal
25	#86677	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂×C₃²×#41	C₂²	1	1	yes	characteristic
27	C₂×C₃²×#41	C₂²	1	1	yes	characteristic, complemented
28	C₃×#1010	—	2	8	no	—
29	C₃×D₃×#41	—	2	8	no	—
30	C₂×C₃×#239	C₂²	1	1	yes	characteristic
31	C₂×C₃×D₃×Q₈	C₂²	1	1	yes	characteristic
32	C₂×C₃×D₃×Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₃×D₃×Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₃×#237	C₂²	1	2	yes	—
35	C₂×C₃×#237	C₂²	1	1	yes	characteristic
36	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃×#237	C₂²	1	2	yes	complemented
38	C₂×C₃×#237	C₂²	1	2	yes	complemented
39	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic
40	C₂×C₃×D₃×D₄	C₂²	1	2	yes	—
41	C₂×C₃×#235	C₂²	1	2	yes	—
42	C₂×C₃×#235	C₂²	1	1	yes	characteristic
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	2	yes	—
46	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
47	C₂²×C₃×Dic₆	C₂²	1	2	yes	complemented
48	C₂²×C₃×Dic₆	C₂²	1	1	yes	characteristic, complemented
49	C₃²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₃²×#123	C₂²	1	2	yes	complemented
51	C₃²×#123	C₂²	1	2	yes	complemented
52	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₃²×#121	C₂²	1	2	yes	complemented
55	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
56	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₃²×C₄⋊C₄	C₂²	1	2	yes	complemented
58	C₃×#947	C₂²	1	1	yes	characteristic, complemented
59	C₃×#946	C₂²	1	1	yes	characteristic
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, complemented
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×#937	C₂²	1	1	yes	characteristic
67	C₃×#937	C₂²	1	2	yes	—
68	C₃×#935	C₂²	1	2	yes	complemented
69	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
70	C₃×#930	C₂²	1	2	yes	complemented
71	C₃×#930	C₂²	1	1	yes	characteristic, complemented
72	C₃×#929	C₂²	1	2	yes	complemented
73	C₃×#929	C₂²	1	2	yes	complemented
74	C₃×C₄×#67	C₂²	1	1	yes	characteristic
75	C₃×C₄×#67	C₂²	1	2	yes	complemented
76	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	—
78	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	—
79	C₃×#924	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₃×Dic₃⋊C₄	C₂²	1	2	yes	complemented
81	C₂×C₃×Dic₃⋊C₄	C₂²	1	2	yes	complemented
82	C₃×#897	C₂²	1	1	yes	characteristic
83	C₃×#896	C₂²	1	1	yes	characteristic
84	C₃×#896	C₂²	1	2	yes	—
85	C₃×#896	C₂²	1	2	yes	—
86	C₃×#896	C₂²	1	2	yes	—
87	C₃×#896	C₂²	1	2	yes	complemented
88	C₃×#896	C₂²	1	2	yes	complemented
89	C₃×#896	C₂²	1	2	yes	complemented
90	C₃×#896	C₂²	1	2	yes	complemented
91	C₃×#896	C₂²	1	2	yes	complemented
92	C₃×#896	C₂²	1	2	yes	complemented
93	C₃×#895	C₂²	1	2	yes	complemented
94	C₃×#895	C₂²	1	1	yes	characteristic, complemented
95	C₃×#894	C₂²	1	1	yes	characteristic, complemented
96	C₃×#894	C₂²	1	2	yes	complemented
97	C₃×#894	C₂²	1	2	yes	complemented
98	C₃×#893	C₂²	1	2	yes	—
99	C₃×#893	C₂²	1	2	yes	complemented
100	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
101	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
102	C₃×#888	C₂²	1	2	yes	complemented
103	C₃×#888	C₂²	1	2	yes	complemented
104	C₃×#887	C₂²	1	1	yes	characteristic, complemented
105	C₃×#886	C₂²	1	2	yes	complemented
106	C₃×#885	C₂²	1	2	yes	complemented
107	C₃×#885	C₂²	1	2	yes	complemented
108	C₃×#884	C₂²	1	1	yes	characteristic
109	C₃×#884	C₂²	1	2	yes	complemented
110	C₃×#884	C₂²	1	2	yes	complemented
111	C₃×#884	C₂²	1	2	yes	complemented
112	C₃×#883	C₂²	1	1	yes	characteristic, complemented
113	C₃×#882	C₂²	1	1	yes	characteristic
114	C₃×#882	C₂²	1	2	yes	—
115	C₃×#67⋊C₄	C₂²	1	2	yes	—
116	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
117	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
118	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
119	C₃×#878	C₂²	1	1	yes	characteristic, 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×#875	C₂²	1	1	yes	characteristic, complemented
124	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
125	C₃×#872	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	C₂×D₃×#41	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	—	2	1	no	—
136	C₃×#547	—	3	1	no	—
137	C₃×#547	—	3	2	no	—
138	C₃×#547	—	3	2	no	—
139	C₃×#547	D₃	1	1	yes	characteristic, complemented
140	C₃×#547	C₂×C₃	1	1	yes	characteristic, complemented
141	C₃×#546	—	3	1	no	—
142	C₃×#546	—	3	2	no	—
143	C₃×#546	—	3	2	no	—
144	C₃×#546	—	3	1	no	—
145	C₃×#537	—	3	1	no	—
146	C₃×#537	—	3	2	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	#5829	C₂×C₃	1	1	yes	characteristic, complemented
155	#5824	C₂×C₃	1	1	yes	characteristic, complemented
156	#5727	C₂×C₃	1	1	yes	characteristic, complemented
157	#5724	C₂×C₃	1	1	yes	characteristic, complemented
158	#5656	C₂×C₃	1	2	yes	complemented
159	#5655	C₂×C₃	1	2	yes	complemented
160	#5654	C₂×C₃	1	2	yes	complemented
161	#5648	C₂×C₃	1	2	yes	complemented
162	#5633	C₂×C₃	1	1	yes	characteristic, complemented
163	#5632	C₂×C₃	1	1	yes	characteristic, complemented
164	#5629	C₂×C₃	1	1	yes	characteristic, complemented
165	D₃×C₂²⋊Q₈	C₂×C₃	1	1	yes	characteristic, complemented
166	#5610	C₂×C₃	1	2	yes	complemented
167	#5597	C₂×C₃	1	2	yes	complemented
168	#5554	C₂×C₃	1	1	yes	characteristic, complemented
169	#5552	C₂×C₃	1	1	yes	characteristic, complemented
170	#5547	C₂×C₃	1	1	yes	characteristic, complemented
171	#5546	C₂×C₃	1	1	yes	characteristic, complemented
172	C₂×#896	C₂×C₃	1	2	yes	complemented
173	#5507	C₂×C₃	1	2	yes	complemented
174	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
175	C₂³×C₃×D₃	C₂³	1	2	yes	—
176	C₃²×#41	—	2	4	no	—
177	C₃²×#41	—	2	4	no	—
178	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
179	C₂×C₃²×Q₈	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	1	yes	characteristic
184	C₂²×C₃²×C₄	C₂³	1	2	yes	—
185	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
186	C₂²×C₃²×C₄	C₂³	1	2	yes	—
187	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
188	C₂²×C₃²×C₄	C₂³	1	2	yes	—
189	C₂×C₃×#67	C₂³	1	1	yes	characteristic
190	C₂×C₃×#67	C₂³	1	2	yes	—
191	C₂×C₃×#67	C₂³	1	1	yes	characteristic
192	C₂×C₃×#67	C₂³	1	1	yes	characteristic
193	C₂×C₃×#67	C₂³	1	2	yes	—
194	C₂×C₃×#67	C₂³	1	2	yes	—
195	C₂×C₃×#67	C₂³	1	2	yes	—
196	C₂×C₃×#67	C₂³	1	1	yes	characteristic
197	C₂×C₃×#67	C₂³	1	2	yes	—
198	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
199	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
200	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
201	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
202	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
203	C₃×#239	—	2	4	no	—
204	C₃×D₃×Q₈	—	2	4	no	—
205	C₃×D₃×Q₈	—	2	4	no	—
206	C₃×D₃×Q₈	—	2	4	no	—
207	C₃×#237	—	2	4	no	—
208	C₃×#237	—	2	8	no	—
209	C₃×#237	—	2	8	no	—
210	C₃×#237	—	2	8	no	—
211	C₃×#237	D₄	1	8	yes	complemented
212	C₃×D₃×D₄	—	2	4	no	—
213	C₃×D₃×D₄	—	2	8	no	—
214	C₃×#235	—	2	8	no	—
215	C₃×#235	—	2	8	no	—
216	C₃×#235	—	2	4	no	—
217	C₃×#235	—	2	4	no	—
218	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
219	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
220	C₂×C₃×D₁₂	C₂³	1	2	yes	—
221	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
222	C₂×C₃×D₁₂	C₂³	1	2	yes	—
223	C₂×C₃×C₄×D₃	—	2	8	no	—
224	C₂×C₃×C₄×D₃	—	2	4	no	—
225	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
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	2	yes	—
231	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
232	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
233	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
234	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
235	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
236	C₂×C₃×Dic₆	—	2	8	no	—
237	C₂×C₃×Dic₆	—	2	4	no	—
238	C₂×C₃×Dic₆	C₂³	1	2	yes	—
239	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
240	C₂×C₃×Dic₆	C₂³	1	2	yes	—
241	C₂×C₃×Dic₆	C₂³	1	2	yes	—
242	C₂×C₃×Dic₆	C₂³	1	2	yes	—
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	2	yes	—
247	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
248	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
249	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
251	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
252	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
253	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
254	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₃²×C₄²	C₂³	1	1	yes	characteristic
257	C₃×#217	C₂³	1	2	yes	—
258	C₃×#217	C₂³	1	1	yes	characteristic
259	C₃×#217	C₂³	1	2	yes	—
260	C₃×#217	C₂³	1	1	yes	characteristic
261	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
262	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
263	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
264	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
265	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
266	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
267	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
268	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
269	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
270	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
271	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
272	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
273	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
274	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
275	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
276	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
277	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
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	2	yes	—
282	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
283	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
288	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
289	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
290	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
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	—	2	1	no	—
298	C₂×C₃×#41	—	3	1	no	—
299	C₂×C₃×#41	—	3	1	no	—
300	C₂×C₃×#41	—	3	2	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	2	no	—
305	C₂×C₃×#41	—	3	1	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
310	C₂×C₃×#41	C₂×D₃	1	1	yes	characteristic, complemented
311	C₂×C₃×#41	C₂²×C₃	1	1	yes	characteristic
312	C₂×C₃×#41	C₂²×C₃	1	1	yes	characteristic, complemented
313	C₂²×C₃×Q₈	—	3	1	no	—
314	C₂²×C₃×Q₈	—	3	1	no	—
315	C₂²×C₃×Q₈	—	3	1	no	—
316	C₂²×C₃×Q₈	—	3	2	no	—
317	C₂²×C₃×Q₈	—	3	1	no	—
318	C₂²×C₃×D₄	—	3	2	no	—
319	C₂²×C₃×D₄	—	3	1	no	—
320	C₂³×C₃×C₄	—	3	2	no	—
321	C₂³×C₃×C₄	—	3	1	no	—
322	#1010	—	2	8	no	—
323	D₃×#41	—	2	8	no	—
324	C₂×#239	C₂²×C₃	1	1	yes	characteristic
325	C₂×D₃×Q₈	C₂²×C₃	1	1	yes	characteristic
326	C₂×D₃×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
327	C₂×D₃×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
328	C₂×#237	C₂²×C₃	1	2	yes	—
329	C₂×#237	C₂²×C₃	1	1	yes	characteristic
330	C₂×#237	C₂²×C₃	1	2	yes	complemented
331	C₂×#237	C₂²×C₃	1	2	yes	complemented
332	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
333	C₂×D₃×D₄	C₂²×C₃	1	2	yes	—
334	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic
335	C₂×#235	C₂²×C₃	1	1	yes	characteristic
336	C₂×#235	C₂²×C₃	1	2	yes	—
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	2	yes	—
340	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
341	C₂²×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
342	C₂²×Dic₆	C₂²×C₃	1	2	yes	complemented
343	C₃×C₄⋊Q₈	—	2	1	no	—
344	C₃×C₄⋊Q₈	—	3	1	no	—
345	C₃×C₄⋊Q₈	—	3	2	no	—
346	C₃×C₄⋊Q₈	—	3	2	no	—
347	C₃×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
348	C₃×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
349	C₃×#124	—	3	1	no	—
350	C₃×#124	—	3	2	no	—
351	C₃×#124	—	3	2	no	—
352	C₃×#124	—	3	1	no	—
353	C₃×#123	—	2	2	no	—
354	C₃×#123	—	2	2	no	—
355	C₃×#123	—	3	2	no	—
356	C₃×#123	—	3	2	no	—
357	C₃×#123	—	3	2	no	—
358	C₃×#123	—	3	1	no	—
359	C₃×#123	—	3	2	no	—
360	C₃×#123	—	3	2	no	—
361	C₃×#123	—	3	1	no	—
362	C₃×#123	—	3	2	no	—
363	C₃×#123	C₂×D₃	1	2	yes	complemented
364	C₃×#123	C₂×D₃	1	2	yes	complemented
365	C₃×#123	C₂²×C₃	1	2	yes	complemented
366	C₃×#123	C₂²×C₃	1	2	yes	complemented
367	C₃×C₂²⋊Q₈	—	2	1	no	—
368	C₃×C₂²⋊Q₈	—	2	1	no	—
369	C₃×C₂²⋊Q₈	—	3	1	no	—
370	C₃×C₂²⋊Q₈	—	3	1	no	—
371	C₃×C₂²⋊Q₈	—	3	1	no	—
372	C₃×C₂²⋊Q₈	—	3	2	no	—
373	C₃×C₂²⋊Q₈	—	3	1	no	—
374	C₃×C₂²⋊Q₈	—	3	2	no	—
375	C₃×C₂²⋊Q₈	—	3	2	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	1	no	—
383	C₃×C₂²⋊Q₈	—	3	2	no	—
384	C₃×C₂²⋊Q₈	—	3	1	no	—
385	C₃×C₂²⋊Q₈	—	3	2	no	—
386	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
387	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
388	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
389	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
390	C₃×#121	—	2	2	no	—
391	C₃×#121	—	3	1	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	1	no	—
399	C₃×#121	—	3	1	no	—
400	C₃×#121	—	3	2	no	—
401	C₃×#121	—	3	2	no	—
402	C₃×#121	—	3	2	no	—
403	C₃×#121	C₂×D₃	1	2	yes	complemented
404	C₃×#121	C₂²×C₃	1	2	yes	complemented
405	C₃×#120	—	3	2	no	—
406	C₃×#120	—	3	1	no	—
407	C₃×#120	—	3	1	no	—
408	C₃×#120	—	3	2	no	—
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	1	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	2	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, complemented
424	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
425	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
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	—	2	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×C₄⋊C₄	C₂×D₃	1	2	yes	complemented
435	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
436	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
437	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
438	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
439	#947	C₂²×C₃	1	1	yes	characteristic, complemented
440	#946	C₂²×C₃	1	1	yes	characteristic
441	#946	C₂²×C₃	1	1	yes	characteristic, complemented
442	#944	C₂²×C₃	1	1	yes	characteristic, complemented
443	#939	C₂²×C₃	1	2	yes	complemented
444	#939	C₂²×C₃	1	2	yes	complemented
445	#939	C₂²×C₃	1	1	yes	characteristic, complemented
446	#939	C₂²×C₃	1	2	yes	complemented
447	#937	C₂²×C₃	1	2	yes	—
448	#937	C₂²×C₃	1	1	yes	characteristic
449	#935	C₂²×C₃	1	2	yes	complemented
450	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
451	#930	C₂²×C₃	1	2	yes	complemented
452	#930	C₂²×C₃	1	1	yes	characteristic, complemented
453	#929	C₂²×C₃	1	2	yes	complemented
454	#929	C₂²×C₃	1	2	yes	complemented
455	C₄×#67	C₂²×C₃	1	1	yes	characteristic
456	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
457	C₄×#67	C₂²×C₃	1	2	yes	complemented
458	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	—
459	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	—
460	#924	C₂²×C₃	1	1	yes	characteristic, complemented
461	C₂×Dic₃⋊C₄	C₂²×C₃	1	2	yes	complemented
462	C₂×Dic₃⋊C₄	C₂²×C₃	1	2	yes	complemented
463	#897	C₂²×C₃	1	1	yes	characteristic
464	#896	C₂²×C₃	1	2	yes	—
465	#896	C₂²×C₃	1	2	yes	—
466	#896	C₂²×C₃	1	2	yes	—
467	#896	C₂²×C₃	1	1	yes	characteristic
468	#896	C₂²×C₃	1	2	yes	complemented
469	#896	C₂²×C₃	1	2	yes	complemented
470	#896	C₂²×C₃	1	2	yes	complemented
471	#896	C₂²×C₃	1	2	yes	complemented
472	#896	C₂²×C₃	1	2	yes	complemented
473	#896	C₂²×C₃	1	2	yes	complemented
474	#895	C₂²×C₃	1	1	yes	characteristic, complemented
475	#895	C₂²×C₃	1	2	yes	complemented
476	#894	C₂²×C₃	1	2	yes	complemented
477	#894	C₂²×C₃	1	2	yes	complemented
478	#894	C₂²×C₃	1	1	yes	characteristic, complemented
479	#893	C₂²×C₃	1	2	yes	—
480	#893	C₂²×C₃	1	2	yes	complemented
481	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
482	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
483	#888	C₂²×C₃	1	2	yes	complemented
484	#888	C₂²×C₃	1	2	yes	complemented
485	#887	C₂²×C₃	1	1	yes	characteristic, complemented
486	#886	C₂²×C₃	1	2	yes	complemented
487	#885	C₂²×C₃	1	2	yes	complemented
488	#885	C₂²×C₃	1	2	yes	complemented
489	#884	C₂²×C₃	1	1	yes	characteristic
490	#884	C₂²×C₃	1	2	yes	complemented
491	#884	C₂²×C₃	1	2	yes	complemented
492	#884	C₂²×C₃	1	2	yes	complemented
493	#883	C₂²×C₃	1	1	yes	characteristic, complemented
494	#882	C₂²×C₃	1	1	yes	characteristic
495	#882	C₂²×C₃	1	2	yes	—
496	#67⋊C₄	C₂²×C₃	1	2	yes	—
497	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
498	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
499	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
500	#878	C₂²×C₃	1	2	yes	complemented
501	#878	C₂²×C₃	1	1	yes	characteristic, complemented
502	#878	C₂²×C₃	1	2	yes	complemented
503	#877	C₂²×C₃	1	2	yes	complemented
504	#875	C₂²×C₃	1	1	yes	characteristic, complemented
505	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
506	#872	C₂²×C₃	1	1	yes	characteristic, complemented
507	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
508	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
509	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
510	C₂³×C₃²	C₂⁴	1	2	yes	—
511	C₂²×C₃×D₃	—	2	4	no	—
512	C₂²×C₃×D₃	—	2	2	no	—
513	C₂²×C₃×D₃	—	2	2	no	—
514	C₂²×C₃×D₃	—	2	4	no	—
515	C₂²×C₃×D₃	—	4	1	no	—
516	C₂²×C₃×D₃	—	4	2	no	—
517	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
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×Q₈	—	2	2	no	—
523	C₃²×D₄	—	2	4	no	—
524	C₃²×D₄	—	2	4	no	—
525	C₃²×D₄	—	4	1	no	—
526	C₃²×D₄	C₂×D₄	1	4	yes	—
527	C₂×C₃²×C₄	—	2	4	no	—
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	2	yes	—
536	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
537	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
538	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
539	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
540	C₃×#67	—	2	4	no	—
541	C₃×#67	—	2	4	no	—
542	C₃×#67	—	2	2	no	—
543	C₃×#67	—	2	2	no	—
544	C₃×#67	—	2	4	no	—
545	C₃×#67	—	2	2	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	2	no	—
552	C₂×C₃×Dic₃	—	4	2	no	—
553	C₂×C₃×Dic₃	C₂×D₄	1	8	yes	—
554	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
555	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
556	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
557	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
558	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
559	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
560	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
561	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
562	C₃×D₁₂	—	2	2	no	—
563	C₃×D₁₂	—	2	4	no	—
564	C₃×D₁₂	—	2	2	no	—
565	C₃×D₁₂	—	2	2	no	—
566	C₃×D₁₂	—	4	2	no	—
567	C₃×C₄×D₃	—	2	2	no	—
568	C₃×C₄×D₃	—	2	4	no	—
569	C₃×C₄×D₃	—	2	2	no	—
570	C₃×C₄×D₃	—	2	2	no	—
571	C₃×C₄×D₃	—	2	2	no	—
572	C₃×C₄×D₃	—	2	4	no	—
573	C₃×C₄×D₃	—	2	4	no	—
574	C₃×C₄×D₃	—	2	4	no	—
575	C₃×C₄×D₃	—	2	4	no	—
576	C₃×C₄×D₃	—	4	2	no	—
577	C₃×C₄×D₃	C₂×D₄	1	4	yes	—
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	C₃×D₃	1	1	yes	characteristic, complemented
595	#546	—	3	1	no	—
596	#546	—	3	2	no	—
597	#546	—	3	2	no	—
598	#546	—	3	1	no	—
599	#537	—	3	1	no	—
600	#537	—	3	2	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	—	3	1	no	—
609	C₂⁴×C₃	—	3	2	no	—
610	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
611	C₂³×D₃	C₂³×C₃	1	2	yes	—
612	C₃×#41	—	2	4	no	—
613	C₃×#41	—	2	4	no	—
614	C₃×#41	—	2	4	no	—
615	C₃×#41	—	2	4	no	—
616	C₃×#41	—	3	8	no	—
617	C₃×#41	—	4	4	no	—
618	C₃×#41	—	4	4	no	—
619	C₃×#41	—	6	4	no	—
620	C₃×#41	—	6	8	no	—
621	C₃×#41	—	6	8	no	—
622	C₃×#41	—	6	4	no	—
623	C₃×#41	—	6	8	no	—
624	C₃×#41	—	6	8	no	—
625	C₃×#41	—	6	4	no	—
626	C₃×#41	—	6	8	no	—
627	C₃×#41	—	6	4	no	—
628	C₂×C₃×Q₈	—	2	1	no	—
629	C₂×C₃×Q₈	—	2	1	no	—
630	C₂×C₃×Q₈	—	3	1	no	—
631	C₂×C₃×Q₈	—	3	2	no	—
632	C₂×C₃×Q₈	—	3	1	no	—
633	C₂×C₃×Q₈	—	3	2	no	—
634	C₂×C₃×Q₈	—	3	2	no	—
635	C₂×C₃×Q₈	—	3	1	no	—
636	C₂×C₃×Q₈	—	3	2	no	—
637	C₂×C₃×Q₈	—	6	8	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	—	6	4	no	—
642	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
643	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
644	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
645	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
646	C₂×C₃×D₄	—	2	1	no	—
647	C₂×C₃×D₄	—	2	1	no	—
648	C₂×C₃×D₄	—	2	2	no	—
649	C₂×C₃×D₄	—	2	2	no	—
650	C₂×C₃×D₄	—	3	2	no	—
651	C₂×C₃×D₄	—	3	1	no	—
652	C₂×C₃×D₄	—	3	1	no	—
653	C₂×C₃×D₄	—	3	2	no	—
654	C₂×C₃×D₄	—	3	1	no	—
655	C₂×C₃×D₄	—	3	2	no	—
656	C₂×C₃×D₄	—	3	2	no	—
657	C₂×C₃×D₄	—	3	2	no	—
658	C₂×C₃×D₄	—	3	1	no	—
659	C₂×C₃×D₄	—	3	1	no	—
660	C₂×C₃×D₄	—	3	1	no	—
661	C₂×C₃×D₄	—	3	2	no	—
662	C₂×C₃×D₄	—	3	1	no	—
663	C₂×C₃×D₄	—	3	2	no	—
664	C₂×C₃×D₄	—	6	8	no	—
665	C₂×C₃×D₄	—	6	4	no	—
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	1	yes	characteristic
670	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
671	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
672	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
673	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
674	C₂²×C₃×C₄	—	2	2	no	—
675	C₂²×C₃×C₄	—	2	2	no	—
676	C₂²×C₃×C₄	—	2	2	no	—
677	C₂²×C₃×C₄	—	2	1	no	—
678	C₂²×C₃×C₄	—	2	1	no	—
679	C₂²×C₃×C₄	—	3	2	no	—
680	C₂²×C₃×C₄	—	3	1	no	—
681	C₂²×C₃×C₄	—	3	2	no	—
682	C₂²×C₃×C₄	—	3	2	no	—
683	C₂²×C₃×C₄	—	3	1	no	—
684	C₂²×C₃×C₄	—	3	2	no	—
685	C₂²×C₃×C₄	—	3	2	no	—
686	C₂²×C₃×C₄	—	3	1	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	1	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	2	no	—
695	C₂²×C₃×C₄	—	6	8	no	—
696	C₂²×C₃×C₄	—	6	4	no	—
697	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
698	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
699	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
700	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
701	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
702	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
703	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
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	2	yes	—
707	C₂×#67	C₂³×C₃	1	1	yes	characteristic
708	C₂×#67	C₂³×C₃	1	2	yes	—
709	C₂×#67	C₂³×C₃	1	1	yes	characteristic
710	C₂×#67	C₂³×C₃	1	1	yes	characteristic
711	C₂×#67	C₂³×C₃	1	2	yes	—
712	C₂×#67	C₂³×C₃	1	2	yes	—
713	C₂×#67	C₂³×C₃	1	2	yes	—
714	C₂×#67	C₂³×C₃	1	1	yes	characteristic
715	C₂×#67	C₂³×C₃	1	2	yes	—
716	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
717	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
718	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
719	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
720	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
721	#239	—	2	4	no	—
722	D₃×Q₈	—	2	4	no	—
723	D₃×Q₈	—	2	4	no	—
724	D₃×Q₈	—	2	4	no	—
725	#237	—	2	4	no	—
726	#237	—	2	8	no	—
727	#237	—	2	8	no	—
728	#237	—	2	8	no	—
729	#237	C₃×D₄	1	8	yes	complemented
730	D₃×D₄	—	2	4	no	—
731	D₃×D₄	—	2	8	no	—
732	#235	—	2	8	no	—
733	#235	—	2	8	no	—
734	#235	—	2	4	no	—
735	#235	—	2	4	no	—
736	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
737	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
738	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
739	C₂×D₁₂	C₂³×C₃	1	2	yes	—
740	C₂×D₁₂	C₂³×C₃	1	2	yes	—
741	C₂×C₄×D₃	—	2	8	no	—
742	C₂×C₄×D₃	—	2	4	no	—
743	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
744	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
745	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
746	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
747	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
748	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
749	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
750	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
751	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
752	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
753	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
754	C₂×Dic₆	—	2	8	no	—
755	C₂×Dic₆	—	2	4	no	—
756	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
757	C₂×Dic₆	C₂³×C₃	1	2	yes	—
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	1	yes	characteristic
763	C₃×C₄⋊C₄	—	2	1	no	—
764	C₃×C₄⋊C₄	—	2	2	no	—
765	C₃×C₄⋊C₄	—	2	2	no	—
766	C₃×C₄⋊C₄	—	2	2	no	—
767	C₃×C₄⋊C₄	—	2	1	no	—
768	C₃×C₄⋊C₄	—	2	2	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	1	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	2	no	—
777	C₃×C₄⋊C₄	—	3	2	no	—
778	C₃×C₄⋊C₄	—	3	1	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	1	no	—
784	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
785	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
786	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
787	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
788	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
789	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
790	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
791	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
792	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
793	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
794	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
795	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
796	C₃×C₂²⋊C₄	—	2	2	no	—
797	C₃×C₂²⋊C₄	—	2	1	no	—
798	C₃×C₂²⋊C₄	—	2	1	no	—
799	C₃×C₂²⋊C₄	—	2	2	no	—
800	C₃×C₂²⋊C₄	—	2	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	1	no	—
805	C₃×C₂²⋊C₄	—	3	2	no	—
806	C₃×C₂²⋊C₄	—	3	1	no	—
807	C₃×C₂²⋊C₄	—	3	2	no	—
808	C₃×C₂²⋊C₄	—	3	1	no	—
809	C₃×C₂²⋊C₄	—	3	2	no	—
810	C₃×C₂²⋊C₄	—	3	2	no	—
811	C₃×C₂²⋊C₄	—	3	2	no	—
812	C₃×C₂²⋊C₄	—	3	2	no	—
813	C₃×C₂²⋊C₄	—	3	1	no	—
814	C₃×C₂²⋊C₄	—	3	1	no	—
815	C₃×C₂²⋊C₄	—	3	1	no	—
816	C₃×C₂²⋊C₄	—	3	2	no	—
817	C₃×C₂²⋊C₄	—	3	2	no	—
818	C₃×C₂²⋊C₄	—	3	2	no	—
819	C₃×C₂²⋊C₄	—	3	1	no	—
820	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
821	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
822	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
823	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
824	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
825	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
826	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
827	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
828	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
829	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
830	C₃×C₄²	—	2	1	no	—
831	C₃×C₄²	—	3	2	no	—
832	C₃×C₄²	—	3	2	no	—
833	C₃×C₄²	—	3	1	no	—
834	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
835	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
836	#217	C₂³×C₃	1	2	yes	—
837	#217	C₂³×C₃	1	1	yes	characteristic
838	#217	C₂³×C₃	1	2	yes	—
839	#217	C₂³×C₃	1	1	yes	characteristic
840	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
841	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
842	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
843	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
844	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
845	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
846	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
847	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
848	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
849	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
850	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
851	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
852	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
853	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
854	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
855	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
856	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
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	2	yes	—
863	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
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	1	yes	characteristic
869	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
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	2	no	—
874	C₂²×C₃²	—	2	2	no	—
875	C₂²×C₃²	—	2	1	no	—
876	C₂²×C₃²	—	2	1	no	—
877	C₂²×C₃²	—	2	1	no	—
878	C₂²×C₃²	—	2	1	no	—
879	C₂²×C₃²	—	2	1	no	—
880	C₂²×C₃²	—	2	1	no	—
881	C₂²×C₃²	C₂²×D₄	1	4	yes	—
882	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
883	C₂×C₃×D₃	—	2	1	no	—
884	C₂×C₃×D₃	—	2	1	no	—
885	C₂×C₃×D₃	—	2	1	no	—
886	C₂×C₃×D₃	—	2	1	no	—
887	C₂×C₃×D₃	—	2	1	no	—
888	C₂×C₃×D₃	—	2	2	no	—
889	C₂×C₃×D₃	—	2	1	no	—
890	C₂×C₃×D₃	—	2	2	no	—
891	C₂×C₃×D₃	—	2	1	no	—
892	C₂×C₃×D₃	—	2	2	no	—
893	C₂×C₃×D₃	—	4	4	no	—
894	C₂×C₃×D₃	—	4	8	no	—
895	C₂×C₃×D₃	C₂²×D₄	1	2	yes	—
896	C₂×C₃×D₃	2₋¹⁺⁴	1	2	yes	complemented
897	C₃²×C₄	—	2	1	no	—
898	C₃²×C₄	—	2	1	no	—
899	C₃²×C₄	—	2	2	no	—
900	C₃²×C₄	—	2	2	no	—
901	C₃²×C₄	—	2	1	no	—
902	C₃²×C₄	—	2	1	no	—
903	C₃²×C₄	—	2	2	no	—
904	C₃²×C₄	C₂²×D₄	1	2	yes	—
905	C₃×Dic₃	—	2	2	no	—
906	C₃×Dic₃	—	2	1	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	1	no	—
916	C₂×#41	—	3	2	no	—
917	C₂×#41	—	3	2	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	2	no	—
923	C₂×#41	—	3	1	no	—
924	C₂×#41	—	6	8	no	—
925	C₂×#41	C₂×C₃×D₃	1	1	yes	characteristic
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	1	no	—
930	C₂²×Q₈	—	3	2	no	—
931	C₂²×Q₈	—	3	1	no	—
932	C₂²×D₄	—	3	2	no	—
933	C₂²×D₄	—	3	1	no	—
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	C₂×C₃×D₃	1	1	yes	characteristic, complemented
940	#124	—	3	1	no	—
941	#124	—	3	2	no	—
942	#124	—	3	2	no	—
943	#124	—	3	1	no	—
944	#123	—	3	2	no	—
945	#123	—	3	2	no	—
946	#123	—	3	2	no	—
947	#123	—	3	1	no	—
948	#123	—	3	2	no	—
949	#123	—	3	2	no	—
950	#123	—	3	1	no	—
951	#123	—	3	2	no	—
952	#123	C₂×C₃×D₃	1	2	yes	complemented
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	2	no	—
960	C₂²⋊Q₈	—	3	2	no	—
961	C₂²⋊Q₈	—	3	2	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	1	no	—
970	C₂²⋊Q₈	—	3	2	no	—
971	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
972	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
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	1	no	—
981	#121	—	3	1	no	—
982	#121	—	3	2	no	—
983	#121	—	3	2	no	—
984	#121	—	3	2	no	—
985	#121	C₂×C₃×D₃	1	2	yes	complemented
986	#120	—	3	2	no	—
987	#120	—	3	1	no	—
988	#120	—	3	1	no	—
989	#120	—	3	2	no	—
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	1	no	—
995	C₄×D₄	—	3	1	no	—
996	C₄×D₄	—	3	2	no	—
997	C₄×D₄	—	3	2	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, complemented
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	1	no	—
1009	C₂×C₄⋊C₄	—	3	2	no	—
1010	C₂×C₄⋊C₄	C₂×C₃×D₃	1	2	yes	complemented
1011	C₂×C₂²⋊C₄	—	3	2	no	—
1012	C₂×C₂²⋊C₄	—	3	2	no	—
1013	C₂×C₂²⋊C₄	—	3	2	no	—
1014	C₂³×C₃	—	2	2	no	—
1015	C₂³×C₃	—	2	1	no	—
1016	C₂³×C₃	—	2	1	no	—
1017	C₂³×C₃	—	3	1	no	—
1018	C₂³×C₃	—	3	1	no	—
1019	C₂³×C₃	—	3	2	no	—
1020	C₂³×C₃	—	3	1	no	—
1021	C₂³×C₃	—	6	2	no	—
1022	C₂³×C₃	—	6	4	no	—
1023	C₂³×C₃	—	6	2	no	—
1024	C₂³×C₃	—	6	4	no	—
1025	C₂³×C₃	—	12	2	no	—
1026	C₂³×C₃	—	12	1	no	—
1027	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1028	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1029	C₂³×C₃	C₂³×D₃	1	2	yes	—
1030	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1031	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1032	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
1033	C₂²×D₃	—	2	4	no	—
1034	C₂²×D₃	—	2	2	no	—
1035	C₂²×D₃	—	2	2	no	—
1036	C₂²×D₃	—	2	4	no	—
1037	C₂²×D₃	—	4	1	no	—
1038	C₂²×D₃	—	4	2	no	—
1039	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
1040	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1041	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1042	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1043	C₃×Q₈	—	2	2	no	—
1044	C₃×Q₈	—	2	2	no	—
1045	C₃×Q₈	—	2	2	no	—
1046	C₃×Q₈	—	2	2	no	—
1047	C₃×Q₈	—	3	4	no	—
1048	C₃×Q₈	—	4	2	no	—
1049	C₃×Q₈	—	4	2	no	—
1050	C₃×Q₈	—	6	2	no	—
1051	C₃×Q₈	—	6	4	no	—
1052	C₃×Q₈	—	6	4	no	—
1053	C₃×Q₈	—	6	4	no	—
1054	C₃×Q₈	—	6	4	no	—
1055	C₃×Q₈	—	6	2	no	—
1056	C₃×D₄	—	2	4	no	—
1057	C₃×D₄	—	2	4	no	—
1058	C₃×D₄	—	2	4	no	—
1059	C₃×D₄	—	2	4	no	—
1060	C₃×D₄	—	2	4	no	—
1061	C₃×D₄	—	3	8	no	—
1062	C₃×D₄	—	4	4	no	—
1063	C₃×D₄	—	4	4	no	—
1064	C₃×D₄	—	4	1	no	—
1065	C₃×D₄	—	4	1	no	—
1066	C₃×D₄	—	4	2	no	—
1067	C₃×D₄	—	6	2	no	—
1068	C₃×D₄	—	6	4	no	—
1069	C₃×D₄	—	6	2	no	—
1070	C₃×D₄	—	6	4	no	—
1071	C₃×D₄	—	6	2	no	—
1072	C₃×D₄	—	6	2	no	—
1073	C₃×D₄	—	6	2	no	—
1074	C₃×D₄	—	6	4	no	—
1075	C₃×D₄	—	6	4	no	—
1076	C₃×D₄	—	6	2	no	—
1077	C₃×D₄	—	12	2	no	—
1078	C₃×D₄	—	12	2	no	—
1079	C₃×D₄	—	12	1	no	—
1080	C₃×D₄	D₃×D₄	1	4	yes	—
1081	C₃×D₄	C₂×C₃×D₄	1	4	yes	—
1082	C₂×C₃×C₄	—	2	4	no	—
1083	C₂×C₃×C₄	—	2	4	no	—
1084	C₂×C₃×C₄	—	2	4	no	—
1085	C₂×C₃×C₄	—	2	4	no	—
1086	C₂×C₃×C₄	—	2	2	no	—
1087	C₂×C₃×C₄	—	2	2	no	—
1088	C₂×C₃×C₄	—	2	2	no	—
1089	C₂×C₃×C₄	—	2	2	no	—
1090	C₂×C₃×C₄	—	2	1	no	—
1091	C₂×C₃×C₄	—	2	1	no	—
1092	C₂×C₃×C₄	—	2	1	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	2	no	—
1097	C₂×C₃×C₄	—	2	2	no	—
1098	C₂×C₃×C₄	—	3	8	no	—
1099	C₂×C₃×C₄	—	3	2	no	—
1100	C₂×C₃×C₄	—	3	1	no	—
1101	C₂×C₃×C₄	—	3	4	no	—
1102	C₂×C₃×C₄	—	3	1	no	—
1103	C₂×C₃×C₄	—	3	1	no	—
1104	C₂×C₃×C₄	—	3	2	no	—
1105	C₂×C₃×C₄	—	3	2	no	—
1106	C₂×C₃×C₄	—	3	1	no	—
1107	C₂×C₃×C₄	—	3	1	no	—
1108	C₂×C₃×C₄	—	4	2	no	—
1109	C₂×C₃×C₄	—	4	2	no	—
1110	C₂×C₃×C₄	—	4	4	no	—
1111	C₂×C₃×C₄	—	4	4	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	—	6	2	no	—
1116	C₂×C₃×C₄	—	6	4	no	—
1117	C₂×C₃×C₄	—	6	4	no	—
1118	C₂×C₃×C₄	—	6	4	no	—
1119	C₂×C₃×C₄	—	6	4	no	—
1120	C₂×C₃×C₄	—	6	2	no	—
1121	C₂×C₃×C₄	—	6	4	no	—
1122	C₂×C₃×C₄	—	6	2	no	—
1123	C₂×C₃×C₄	—	6	4	no	—
1124	C₂×C₃×C₄	—	6	4	no	—
1125	C₂×C₃×C₄	—	6	2	no	—
1126	C₂×C₃×C₄	—	6	2	no	—
1127	C₂×C₃×C₄	—	12	2	no	—
1128	C₂×C₃×C₄	—	12	2	no	—
1129	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1130	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1131	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1132	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1133	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1134	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1135	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1136	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1137	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1138	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1139	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1140	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1141	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1142	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1143	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1144	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1145	#67	—	2	4	no	—
1146	#67	—	2	4	no	—
1147	#67	—	2	2	no	—
1148	#67	—	2	2	no	—
1149	#67	—	2	4	no	—
1150	#67	—	2	2	no	—
1151	#67	—	4	2	no	—
1152	#67	—	4	1	no	—
1153	#67	C₂×C₃×D₄	1	8	yes	—
1154	C₂×Dic₃	—	2	4	no	—
1155	C₂×Dic₃	—	2	4	no	—
1156	C₂×Dic₃	—	2	2	no	—
1157	C₂×Dic₃	—	4	2	no	—
1158	C₂×Dic₃	C₂×C₃×D₄	1	8	yes	—
1159	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1160	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1161	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1162	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1163	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1164	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1165	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1166	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1167	D₁₂	—	2	2	no	—
1168	D₁₂	—	2	4	no	—
1169	D₁₂	—	2	2	no	—
1170	D₁₂	—	2	2	no	—
1171	D₁₂	—	4	2	no	—
1172	C₄×D₃	—	2	2	no	—
1173	C₄×D₃	—	2	4	no	—
1174	C₄×D₃	—	2	2	no	—
1175	C₄×D₃	—	2	2	no	—
1176	C₄×D₃	—	2	2	no	—
1177	C₄×D₃	—	2	4	no	—
1178	C₄×D₃	—	2	4	no	—
1179	C₄×D₃	—	2	4	no	—
1180	C₄×D₃	—	2	4	no	—
1181	C₄×D₃	—	4	2	no	—
1182	C₄×D₃	C₂×C₃×D₄	1	4	yes	—
1183	Dic₆	—	2	2	no	—
1184	Dic₆	—	2	4	no	—
1185	Dic₆	—	2	2	no	—
1186	Dic₆	—	2	4	no	—
1187	Dic₆	—	2	4	no	—
1188	Dic₆	—	2	4	no	—
1189	Dic₆	C₂×C₃×D₄	1	4	yes	—
1190	C₂×C₃²	—	2	4	no	—
1191	C₂×C₃²	—	4	1	no	—
1192	C₂×C₃²	—	4	1	no	—
1193	C₂×C₃²	C₂³×D₄	1	1	yes	characteristic
1194	C₂×C₃²	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1195	C₂×C₃²	#585	1	1	yes	characteristic
1196	C₃×D₃	—	2	2	no	—
1197	C₃×D₃	—	2	2	no	—
1198	C₃×D₃	—	4	1	no	—
1199	C₃×D₃	—	4	2	no	—
1200	C₂⁴	—	3	1	no	—
1201	C₂⁴	—	3	2	no	—
1202	#41	—	2	4	no	—
1203	#41	—	2	4	no	—
1204	#41	—	3	8	no	—
1205	#41	—	6	4	no	—
1206	#41	—	6	8	no	—
1207	#41	—	6	8	no	—
1208	#41	—	6	4	no	—
1209	#41	—	6	8	no	—
1210	#41	—	6	8	no	—
1211	#41	—	6	4	no	—
1212	#41	—	6	8	no	—
1213	#41	—	6	4	no	—
1214	C₂×Q₈	—	3	1	no	—
1215	C₂×Q₈	—	3	2	no	—
1216	C₂×Q₈	—	3	1	no	—
1217	C₂×Q₈	—	3	2	no	—
1218	C₂×Q₈	—	3	2	no	—
1219	C₂×Q₈	—	3	1	no	—
1220	C₂×Q₈	—	3	2	no	—
1221	C₂×Q₈	—	6	8	no	—
1222	C₂×Q₈	—	6	4	no	—
1223	C₂×Q₈	—	6	4	no	—
1224	C₂×Q₈	—	6	4	no	—
1225	C₂×Q₈	—	6	4	no	—
1226	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1227	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1228	C₂×D₄	—	3	2	no	—
1229	C₂×D₄	—	3	1	no	—
1230	C₂×D₄	—	3	1	no	—
1231	C₂×D₄	—	3	2	no	—
1232	C₂×D₄	—	3	1	no	—
1233	C₂×D₄	—	3	2	no	—
1234	C₂×D₄	—	3	2	no	—
1235	C₂×D₄	—	3	2	no	—
1236	C₂×D₄	—	3	1	no	—
1237	C₂×D₄	—	3	1	no	—
1238	C₂×D₄	—	3	1	no	—
1239	C₂×D₄	—	3	2	no	—
1240	C₂×D₄	—	3	1	no	—
1241	C₂×D₄	—	3	2	no	—
1242	C₂×D₄	—	6	8	no	—
1243	C₂×D₄	—	6	4	no	—
1244	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1245	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1246	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1247	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1248	C₂²×C₄	—	3	2	no	—
1249	C₂²×C₄	—	3	1	no	—
1250	C₂²×C₄	—	3	2	no	—
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	1	no	—
1256	C₂²×C₄	—	3	2	no	—
1257	C₂²×C₄	—	3	1	no	—
1258	C₂²×C₄	—	3	2	no	—
1259	C₂²×C₄	—	3	1	no	—
1260	C₂²×C₄	—	3	2	no	—
1261	C₂²×C₄	—	3	1	no	—
1262	C₂²×C₄	—	3	2	no	—
1263	C₂²×C₄	—	3	2	no	—
1264	C₂²×C₄	—	6	8	no	—
1265	C₂²×C₄	—	6	4	no	—
1266	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1267	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1268	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1269	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1270	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1271	C₄⋊C₄	—	3	2	no	—
1272	C₄⋊C₄	—	3	1	no	—
1273	C₄⋊C₄	—	3	1	no	—
1274	C₄⋊C₄	—	3	2	no	—
1275	C₄⋊C₄	—	3	2	no	—
1276	C₄⋊C₄	—	3	2	no	—
1277	C₄⋊C₄	—	3	1	no	—
1278	C₄⋊C₄	—	3	2	no	—
1279	C₄⋊C₄	—	3	2	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	1	no	—
1285	C₄⋊C₄	—	3	1	no	—
1286	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1287	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1288	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1289	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1290	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1291	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1292	C₂²⋊C₄	—	3	2	no	—
1293	C₂²⋊C₄	—	3	2	no	—
1294	C₂²⋊C₄	—	3	1	no	—
1295	C₂²⋊C₄	—	3	1	no	—
1296	C₂²⋊C₄	—	3	2	no	—
1297	C₂²⋊C₄	—	3	1	no	—
1298	C₂²⋊C₄	—	3	2	no	—
1299	C₂²⋊C₄	—	3	1	no	—
1300	C₂²⋊C₄	—	3	2	no	—
1301	C₂²⋊C₄	—	3	2	no	—
1302	C₂²⋊C₄	—	3	2	no	—
1303	C₂²⋊C₄	—	3	2	no	—
1304	C₂²⋊C₄	—	3	1	no	—
1305	C₂²⋊C₄	—	3	1	no	—
1306	C₂²⋊C₄	—	3	1	no	—
1307	C₂²⋊C₄	—	3	2	no	—
1308	C₂²⋊C₄	—	3	2	no	—
1309	C₂²⋊C₄	—	3	2	no	—
1310	C₂²⋊C₄	—	3	1	no	—
1311	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
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	1	yes	characteristic
1316	C₄²	—	3	2	no	—
1317	C₄²	—	3	2	no	—
1318	C₄²	—	3	1	no	—
1319	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1320	C₂²×C₃	—	2	2	no	—
1321	C₂²×C₃	—	2	2	no	—
1322	C₂²×C₃	—	2	2	no	—
1323	C₂²×C₃	—	2	2	no	—
1324	C₂²×C₃	—	2	1	no	—
1325	C₂²×C₃	—	2	1	no	—
1326	C₂²×C₃	—	2	1	no	—
1327	C₂²×C₃	—	2	1	no	—
1328	C₂²×C₃	—	2	1	no	—
1329	C₂²×C₃	—	2	1	no	—
1330	C₂²×C₃	—	2	1	no	—
1331	C₂²×C₃	—	2	1	no	—
1332	C₂²×C₃	—	2	1	no	—
1333	C₂²×C₃	—	2	1	no	—
1334	C₂²×C₃	—	2	1	no	—
1335	C₂²×C₃	—	2	1	no	—
1336	C₂²×C₃	—	2	4	no	—
1337	C₂²×C₃	—	2	1	no	—
1338	C₂²×C₃	—	3	2	no	—
1339	C₂²×C₃	—	3	2	no	—
1340	C₂²×C₃	—	4	2	no	—
1341	C₂²×C₃	—	4	2	no	—
1342	C₂²×C₃	—	4	1	no	—
1343	C₂²×C₃	—	4	1	no	—
1344	C₂²×C₃	—	4	1	no	—
1345	C₂²×C₃	—	4	1	no	—
1346	C₂²×C₃	—	4	1	no	—
1347	C₂²×C₃	—	4	1	no	—
1348	C₂²×C₃	—	6	1	no	—
1349	C₂²×C₃	—	6	1	no	—
1350	C₂²×C₃	—	6	1	no	—
1351	C₂²×C₃	—	6	1	no	—
1352	C₂²×C₃	—	6	1	no	—
1353	C₂²×C₃	—	6	2	no	—
1354	C₂²×C₃	—	6	1	no	—
1355	C₂²×C₃	—	6	2	no	—
1356	C₂²×C₃	—	6	1	no	—
1357	C₂²×C₃	—	6	2	no	—
1358	C₂²×C₃	—	12	8	no	—
1359	C₂²×C₃	—	12	4	no	—
1360	C₂²×C₃	C₂×D₃×D₄	1	4	yes	—
1361	C₂²×C₃	C₂²×C₃×D₄	1	4	yes	—
1362	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1363	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1364	C₂×D₃	—	2	1	no	—
1365	C₂×D₃	—	2	1	no	—
1366	C₂×D₃	—	2	1	no	—
1367	C₂×D₃	—	2	1	no	—
1368	C₂×D₃	—	2	1	no	—
1369	C₂×D₃	—	2	2	no	—
1370	C₂×D₃	—	2	1	no	—
1371	C₂×D₃	—	2	2	no	—
1372	C₂×D₃	—	2	1	no	—
1373	C₂×D₃	—	2	2	no	—
1374	C₂×D₃	—	4	4	no	—
1375	C₂×D₃	—	4	8	no	—
1376	C₂×D₃	C₂²×C₃×D₄	1	2	yes	—
1377	C₂×D₃	C₃×2₋¹⁺⁴	1	2	yes	complemented
1378	C₃×C₄	—	2	2	no	—
1379	C₃×C₄	—	2	1	no	—
1380	C₃×C₄	—	2	1	no	—
1381	C₃×C₄	—	2	2	no	—
1382	C₃×C₄	—	2	2	no	—
1383	C₃×C₄	—	2	1	no	—
1384	C₃×C₄	—	2	2	no	—
1385	C₃×C₄	—	2	1	no	—
1386	C₃×C₄	—	2	1	no	—
1387	C₃×C₄	—	2	2	no	—
1388	C₃×C₄	—	2	2	no	—
1389	C₃×C₄	—	2	1	no	—
1390	C₃×C₄	—	2	1	no	—
1391	C₃×C₄	—	2	2	no	—
1392	C₃×C₄	—	2	1	no	—
1393	C₃×C₄	—	2	2	no	—
1394	C₃×C₄	—	3	2	no	—
1395	C₃×C₄	—	3	4	no	—
1396	C₃×C₄	—	4	1	no	—
1397	C₃×C₄	—	4	1	no	—
1398	C₃×C₄	—	4	2	no	—
1399	C₃×C₄	—	4	2	no	—
1400	C₃×C₄	—	4	2	no	—
1401	C₃×C₄	—	4	1	no	—
1402	C₃×C₄	—	6	1	no	—
1403	C₃×C₄	—	6	2	no	—
1404	C₃×C₄	—	6	1	no	—
1405	C₃×C₄	—	6	2	no	—
1406	C₃×C₄	—	6	1	no	—
1407	C₃×C₄	—	6	1	no	—
1408	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
1409	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
1410	Dic₃	—	2	2	no	—
1411	Dic₃	—	2	1	no	—
1412	Dic₃	—	2	1	no	—
1413	Dic₃	—	2	1	no	—
1414	Dic₃	—	2	2	no	—
1415	Dic₃	—	2	1	no	—
1416	Dic₃	C₂²×C₃×D₄	1	4	yes	—
1417	Dic₃	C₂²×C₃×D₄	1	2	yes	—
1418	C₃²	#3489	1	1	yes	characteristic, complemented, Sylow
1419	C₂³	—	3	1	no	—
1420	C₂³	—	3	1	no	—
1421	C₂³	—	3	2	no	—
1422	C₂³	—	3	1	no	—
1423	C₂³	—	6	2	no	—
1424	C₂³	—	6	4	no	—
1425	C₂³	—	6	2	no	—
1426	C₂³	—	6	4	no	—
1427	C₂³	—	12	2	no	—
1428	C₂³	—	12	1	no	—
1429	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1430	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1431	C₂³	C₂³×C₃×D₃	1	2	yes	—
1432	Q₈	—	2	2	no	—
1433	Q₈	—	2	2	no	—
1434	Q₈	—	3	4	no	—
1435	Q₈	—	6	2	no	—
1436	Q₈	—	6	4	no	—
1437	Q₈	—	6	4	no	—
1438	Q₈	—	6	4	no	—
1439	Q₈	—	6	4	no	—
1440	Q₈	—	6	2	no	—
1441	D₄	—	2	4	no	—
1442	D₄	—	2	4	no	—
1443	D₄	—	3	8	no	—
1444	D₄	—	4	1	no	—
1445	D₄	—	6	4	no	—
1446	D₄	—	6	2	no	—
1447	D₄	—	6	2	no	—
1448	D₄	—	6	4	no	—
1449	D₄	—	6	2	no	—
1450	D₄	—	6	2	no	—
1451	D₄	—	6	2	no	—
1452	D₄	—	6	4	no	—
1453	D₄	—	6	4	no	—
1454	D₄	—	6	2	no	—
1455	D₄	—	12	2	no	—
1456	D₄	—	12	2	no	—
1457	D₄	—	12	1	no	—
1458	D₄	C₃×D₃×D₄	1	4	yes	—
1459	C₂×C₄	—	2	4	no	—
1460	C₂×C₄	—	2	4	no	—
1461	C₂×C₄	—	2	2	no	—
1462	C₂×C₄	—	2	2	no	—
1463	C₂×C₄	—	3	8	no	—
1464	C₂×C₄	—	3	2	no	—
1465	C₂×C₄	—	3	1	no	—
1466	C₂×C₄	—	3	4	no	—
1467	C₂×C₄	—	3	1	no	—
1468	C₂×C₄	—	3	2	no	—
1469	C₂×C₄	—	3	1	no	—
1470	C₂×C₄	—	3	2	no	—
1471	C₂×C₄	—	3	1	no	—
1472	C₂×C₄	—	3	1	no	—
1473	C₂×C₄	—	4	2	no	—
1474	C₂×C₄	—	6	2	no	—
1475	C₂×C₄	—	6	4	no	—
1476	C₂×C₄	—	6	4	no	—
1477	C₂×C₄	—	6	4	no	—
1478	C₂×C₄	—	6	4	no	—
1479	C₂×C₄	—	6	2	no	—
1480	C₂×C₄	—	6	4	no	—
1481	C₂×C₄	—	6	2	no	—
1482	C₂×C₄	—	6	4	no	—
1483	C₂×C₄	—	6	4	no	—
1484	C₂×C₄	—	6	2	no	—
1485	C₂×C₄	—	6	2	no	—
1486	C₂×C₄	—	12	2	no	—
1487	C₂×C₄	—	12	2	no	—
1488	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1489	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1490	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1491	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1492	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1493	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1494	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1495	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1496	C₂×C₃	—	2	4	no	—
1497	C₂×C₃	—	2	4	no	—
1498	C₂×C₃	—	2	1	no	—
1499	C₂×C₃	—	2	1	no	—
1500	C₂×C₃	—	2	1	no	—
1501	C₂×C₃	—	4	4	no	—
1502	C₂×C₃	—	4	1	no	—
1503	C₂×C₃	—	4	1	no	—
1504	C₂×C₃	—	4	1	no	—
1505	C₂×C₃	—	4	1	no	—
1506	C₂×C₃	—	6	2	no	—
1507	C₂×C₃	—	6	2	no	—
1508	C₂×C₃	—	8	1	no	—
1509	C₂×C₃	—	8	1	no	—
1510	C₂×C₃	—	12	2	no	—
1511	C₂×C₃	—	12	1	no	—
1512	C₂×C₃	C₂²×D₃×D₄	1	1	yes	characteristic
1513	C₂×C₃	#5964	1	1	yes	characteristic
1514	C₂×C₃	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1515	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
1516	C₂×C₃	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1517	C₂×C₃	C₃×#585	1	1	yes	characteristic
1518	D₃	—	2	2	no	—
1519	D₃	—	2	2	no	—
1520	D₃	—	4	2	no	—
1521	D₃	—	4	1	no	—
1522	C₂²	—	2	2	no	—
1523	C₂²	—	2	2	no	—
1524	C₂²	—	2	1	no	—
1525	C₂²	—	2	1	no	—
1526	C₂²	—	2	1	no	—
1527	C₂²	—	2	1	no	—
1528	C₂²	—	2	1	no	—
1529	C₂²	—	2	1	no	—
1530	C₂²	—	3	2	no	—
1531	C₂²	—	3	2	no	—
1532	C₂²	—	6	1	no	—
1533	C₂²	—	6	1	no	—
1534	C₂²	—	6	1	no	—
1535	C₂²	—	6	1	no	—
1536	C₂²	—	6	1	no	—
1537	C₂²	—	6	2	no	—
1538	C₂²	—	6	1	no	—
1539	C₂²	—	6	2	no	—
1540	C₂²	—	6	1	no	—
1541	C₂²	—	6	2	no	—
1542	C₂²	—	12	8	no	—
1543	C₂²	—	12	4	no	—
1544	C₂²	C₂×C₃×D₃×D₄	1	4	yes	—
1545	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1546	C₄	—	2	1	no	—
1547	C₄	—	2	1	no	—
1548	C₄	—	2	2	no	—
1549	C₄	—	2	2	no	—
1550	C₄	—	2	1	no	—
1551	C₄	—	2	2	no	—
1552	C₄	—	2	1	no	—
1553	C₄	—	3	2	no	—
1554	C₄	—	3	4	no	—
1555	C₄	—	6	1	no	—
1556	C₄	—	6	2	no	—
1557	C₄	—	6	1	no	—
1558	C₄	—	6	2	no	—
1559	C₄	—	6	1	no	—
1560	C₄	—	6	1	no	—
1561	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1562	C₃	—	2	1	no	—
1563	C₃	#86677	1	1	yes	characteristic, direct product factor
1564	C₃	C₃×#3489	1	1	yes	characteristic, complemented
1565	C₂	—	2	4	no	—
1566	C₂	—	4	1	no	—
1567	C₂	—	4	1	no	—
1568	C₂	—	6	2	no	—
1569	C₂	—	6	2	no	—
1570	C₂	—	12	2	no	—
1571	C₂	—	12	1	no	—
1572	C₂	C₂²×C₃×D₃×D₄	1	1	yes	characteristic
1573	C₂	C₃×#5964	1	1	yes	characteristic
1574	C₂	C₃×D₃×2₋¹⁺⁴	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×#547	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#547	D₃
hypocenter	C₃	C₃×#3489
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#547

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#1010	C₂	semidirect
2. C₂×C₃×D₃×#41	C₂	semidirect
3. C₃²×#547	C₂	semidirect
4. C₃×#5829	C₂	semidirect
5. C₃×#5824	C₂	semidirect
6. C₃×#5727	C₂	semidirect
7. C₃×#5724	C₂	semidirect
8. C₃×#5656	C₂	semidirect
9. C₃×#5655	C₂	semidirect
10. C₃×#5654	C₂	semidirect
11. C₃×#5648	C₂	semidirect
12. C₃×#5633	C₂	semidirect
13. C₃×#5632	C₂	semidirect
14. C₃×#5629	C₂	semidirect
15. C₃×D₃×C₂²⋊Q₈	C₂	semidirect
16. C₃×#5610	C₂	semidirect
17. C₃×#5597	C₂	semidirect
18. C₃×#5554	C₂	semidirect
19. C₃×#5552	C₂	semidirect
20. C₃×#5547	C₂	semidirect
21. C₃×#5546	C₂	semidirect
22. C₂×C₃×#896	C₂	semidirect
23. C₃×#5507	C₂	semidirect
25. #86677	C₃	direct (N × H)
27. C₂×C₃²×#41	C₂²	semidirect
32. C₂×C₃×D₃×Q₈	C₂²	semidirect
33. C₂×C₃×D₃×Q₈	C₂²	semidirect
36. C₂×C₃×#237	C₂²	semidirect
37. C₂×C₃×#237	C₂²	semidirect
38. 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×C₄⋊Q₈	C₂²	semidirect
50. C₃²×#123	C₂²	semidirect
51. C₃²×#123	C₂²	semidirect
52. C₃²×C₂²⋊Q₈	C₂²	semidirect
53. C₃²×C₂²⋊Q₈	C₂²	semidirect
54. C₃²×#121	C₂²	semidirect
55. C₃²×C₄×D₄	C₂²	semidirect
56. C₃²×C₄×D₄	C₂²	semidirect
57. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
58. C₃×#947	C₂²	semidirect
60. C₃×#946	C₂²	semidirect
61. C₃×#944	C₂²	semidirect
62. C₃×#939	C₂²	semidirect
63. C₃×#939	C₂²	semidirect
64. C₃×#939	C₂²	semidirect
65. C₃×#939	C₂²	semidirect
68. C₃×#935	C₂²	semidirect
69. C₃×D₄×Dic₃	C₂²	semidirect
70. C₃×#930	C₂²	semidirect
71. C₃×#930	C₂²	semidirect
72. C₃×#929	C₂²	semidirect
73. C₃×#929	C₂²	semidirect
75. C₃×C₄×#67	C₂²	semidirect
76. C₃×C₄×#67	C₂²	semidirect
79. C₃×#924	C₂²	semidirect
80. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
81. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
87. C₃×#896	C₂²	semidirect
88. C₃×#896	C₂²	semidirect
89. C₃×#896	C₂²	semidirect
90. C₃×#896	C₂²	semidirect
91. C₃×#896	C₂²	semidirect
92. C₃×#896	C₂²	semidirect
93. C₃×#895	C₂²	semidirect
94. C₃×#895	C₂²	semidirect
95. C₃×#894	C₂²	semidirect
96. C₃×#894	C₂²	semidirect
97. C₃×#894	C₂²	semidirect
99. C₃×#893	C₂²	semidirect
100. C₃×D₃×C₄⋊C₄	C₂²	semidirect
101. C₃×D₃×C₄⋊C₄	C₂²	semidirect
102. C₃×#888	C₂²	semidirect
103. C₃×#888	C₂²	semidirect
104. C₃×#887	C₂²	semidirect
105. C₃×#886	C₂²	semidirect
106. C₃×#885	C₂²	semidirect
107. C₃×#885	C₂²	semidirect
109. C₃×#884	C₂²	semidirect
110. C₃×#884	C₂²	semidirect
111. C₃×#884	C₂²	semidirect
112. C₃×#883	C₂²	semidirect
116. C₃×#67⋊C₄	C₂²	semidirect
117. C₃×#67⋊C₄	C₂²	semidirect
119. C₃×#878	C₂²	semidirect
120. C₃×#878	C₂²	semidirect
121. C₃×#878	C₂²	semidirect
122. C₃×#877	C₂²	semidirect
123. C₃×#875	C₂²	semidirect
125. C₃×#872	C₂²	semidirect
126. C₃×C₄×Dic₆	C₂²	semidirect
129. C₂×#1010	C₂×C₃	semidirect
130. C₂×D₃×#41	C₂×C₃	semidirect
139. C₃×#547	D₃	semidirect
140. C₃×#547	C₂×C₃	semidirect
154. #5829	C₂×C₃	semidirect
155. #5824	C₂×C₃	semidirect
156. #5727	C₂×C₃	semidirect
157. #5724	C₂×C₃	semidirect
158. #5656	C₂×C₃	semidirect
159. #5655	C₂×C₃	semidirect
160. #5654	C₂×C₃	semidirect
161. #5648	C₂×C₃	semidirect
162. #5633	C₂×C₃	semidirect
163. #5632	C₂×C₃	semidirect
164. #5629	C₂×C₃	semidirect
165. D₃×C₂²⋊Q₈	C₂×C₃	semidirect
166. #5610	C₂×C₃	semidirect
167. #5597	C₂×C₃	semidirect
168. #5554	C₂×C₃	semidirect
169. #5552	C₂×C₃	semidirect
170. #5547	C₂×C₃	semidirect
171. #5546	C₂×C₃	semidirect
172. C₂×#896	C₂×C₃	semidirect
173. #5507	C₂×C₃	semidirect
211. C₃×#237	D₄	semidirect
310. C₂×C₃×#41	C₂×D₃	semidirect
312. C₂×C₃×#41	C₂²×C₃	semidirect
326. C₂×D₃×Q₈	C₂²×C₃	semidirect
327. C₂×D₃×Q₈	C₂²×C₃	semidirect
330. C₂×#237	C₂²×C₃	semidirect
331. C₂×#237	C₂²×C₃	semidirect
332. 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
347. C₃×C₄⋊Q₈	C₂×D₃	semidirect
348. C₃×C₄⋊Q₈	C₂²×C₃	semidirect
363. C₃×#123	C₂×D₃	semidirect
364. C₃×#123	C₂×D₃	semidirect
365. C₃×#123	C₂²×C₃	semidirect
366. C₃×#123	C₂²×C₃	semidirect
386. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
387. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
388. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
389. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
403. C₃×#121	C₂×D₃	semidirect
404. C₃×#121	C₂²×C₃	semidirect
423. C₃×C₄×D₄	C₂×D₃	semidirect
424. C₃×C₄×D₄	C₂×D₃	semidirect
425. C₃×C₄×D₄	C₂²×C₃	semidirect
426. C₃×C₄×D₄	C₂²×C₃	semidirect
434. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
435. C₂×C₃×C₄⋊C₄	C₂²×C₃	semidirect
439. #947	C₂²×C₃	semidirect
441. #946	C₂²×C₃	semidirect
442. #944	C₂²×C₃	semidirect
443. #939	C₂²×C₃	semidirect
444. #939	C₂²×C₃	semidirect
445. #939	C₂²×C₃	semidirect
446. #939	C₂²×C₃	semidirect
449. #935	C₂²×C₃	semidirect
450. D₄×Dic₃	C₂²×C₃	semidirect
451. #930	C₂²×C₃	semidirect
452. #930	C₂²×C₃	semidirect
453. #929	C₂²×C₃	semidirect
454. #929	C₂²×C₃	semidirect
456. C₄×#67	C₂²×C₃	semidirect
457. C₄×#67	C₂²×C₃	semidirect
460. #924	C₂²×C₃	semidirect
461. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
462. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
468. #896	C₂²×C₃	semidirect
469. #896	C₂²×C₃	semidirect
470. #896	C₂²×C₃	semidirect
471. #896	C₂²×C₃	semidirect
472. #896	C₂²×C₃	semidirect
473. #896	C₂²×C₃	semidirect
474. #895	C₂²×C₃	semidirect
475. #895	C₂²×C₃	semidirect
476. #894	C₂²×C₃	semidirect
477. #894	C₂²×C₃	semidirect
478. #894	C₂²×C₃	semidirect
480. #893	C₂²×C₃	semidirect
481. D₃×C₄⋊C₄	C₂²×C₃	semidirect
482. D₃×C₄⋊C₄	C₂²×C₃	semidirect
483. #888	C₂²×C₃	semidirect
484. #888	C₂²×C₃	semidirect
485. #887	C₂²×C₃	semidirect
486. #886	C₂²×C₃	semidirect
487. #885	C₂²×C₃	semidirect
488. #885	C₂²×C₃	semidirect
490. #884	C₂²×C₃	semidirect
491. #884	C₂²×C₃	semidirect
492. #884	C₂²×C₃	semidirect
493. #883	C₂²×C₃	semidirect
497. #67⋊C₄	C₂²×C₃	semidirect
498. #67⋊C₄	C₂²×C₃	semidirect
500. #878	C₂²×C₃	semidirect
501. #878	C₂²×C₃	semidirect
502. #878	C₂²×C₃	semidirect
503. #877	C₂²×C₃	semidirect
504. #875	C₂²×C₃	semidirect
506. #872	C₂²×C₃	semidirect
507. C₄×Dic₆	C₂²×C₃	semidirect
594. #547	C₃×D₃	semidirect
729. #237	C₃×D₄	semidirect
896. C₂×C₃×D₃	2₋¹⁺⁴	semidirect
926. C₂×#41	C₂×C₃×D₃	semidirect
939. C₄⋊Q₈	C₂×C₃×D₃	semidirect
952. #123	C₂×C₃×D₃	semidirect
953. #123	C₂×C₃×D₃	semidirect
971. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
972. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
985. #121	C₂×C₃×D₃	semidirect
1002. C₄×D₄	C₂×C₃×D₃	semidirect
1003. C₄×D₄	C₂×C₃×D₃	semidirect
1010. C₂×C₄⋊C₄	C₂×C₃×D₃	semidirect
1377. C₂×D₃	C₃×2₋¹⁺⁴	semidirect
1418. C₃²	#3489	semidirect
1563. C₃	#86677	direct (N × H)
1564. 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
C₂×C₃×D₃×#41	2
C₃²×#547	2
C₃×#5829	2
C₃×#5824	2
C₃×#5727	2
C₃×#5724	2
C₃×#5656	2
C₃×#5655	2
C₃×#5654	2
C₃×#5648	2
C₃×#5633	2
C₃×#5632	2
C₃×#5629	2
C₃×D₃×C₂²⋊Q₈	2
C₃×#5610	2
C₃×#5597	2
C₃×#5554	2
C₃×#5552	2
C₃×#5547	2
C₃×#5546	2
C₂×C₃×#896	2
C₃×#5507	2
C₃×#3489	3
#86677	3

Subgroups — C3×#86677 #11904717

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86677 #11904717