Subgroups — C₃×#86043 #11904834

Order 1152.

2821 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#525	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5829	C₂	1	2	yes	maximal, complemented
3	C₃×#5791	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×C₃×(C₂×D₃)⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5658	C₂	1	2	yes	maximal, complemented
6	C₃×#5654	C₂	1	2	yes	maximal, complemented
7	C₃×#5644	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5637	C₂	1	2	yes	maximal, complemented
9	C₃×#5634	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5617	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5610	C₂	1	2	yes	maximal, complemented
12	C₃×#5605	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×D₃×#120	C₂	1	2	yes	maximal, complemented
14	C₃×#5586	C₂	1	2	yes	maximal, complemented
15	C₃×#5560	C₂	1	2	yes	maximal, complemented
16	C₃×#5556	C₂	1	2	yes	maximal, complemented
17	C₃×#5554	C₂	1	2	yes	maximal, complemented
18	C₃×#5545	C₂	1	2	yes	maximal, complemented
19	C₃×#5527	C₂	1	2	yes	maximal, complemented
20	C₃×#3490	—	3	1	no	maximal
21	#86043	C₃	1	1	yes	maximal, characteristic, direct product factor
22	C₂⁴×C₃×D₃	C₂²	1	1	yes	characteristic
23	C₂×C₃²×#41	C₂²	1	1	yes	characteristic, complemented
24	C₂³×C₃²×C₄	C₂²	1	1	yes	characteristic, complemented
25	C₂³×C₃×Dic₃	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₃×#237	C₂²	1	2	yes	complemented
27	C₂×C₃×D₃×D₄	C₂²	1	2	yes	—
28	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
29	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
30	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
31	C₃²×#123	C₂²	1	2	yes	complemented
32	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
35	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
36	C₃²×#120	C₂²	1	2	yes	complemented
37	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
38	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
39	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
40	C₃×#953	C₂²	1	2	yes	complemented
41	C₃×#947	C₂²	1	2	yes	complemented
42	C₃×#946	C₂²	1	2	yes	complemented
43	C₃×#939	C₂²	1	2	yes	complemented
44	C₃×#939	C₂²	1	2	yes	complemented
45	C₃×#939	C₂²	1	2	yes	complemented
46	C₃×#937	C₂²	1	2	yes	—
47	C₃×#937	C₂²	1	2	yes	—
48	C₃×#937	C₂²	1	2	yes	complemented
49	C₃×#937	C₂²	1	2	yes	complemented
50	C₃×#935	C₂²	1	2	yes	complemented
51	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
52	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
53	C₃×#930	C₂²	1	2	yes	complemented
54	C₃×#930	C₂²	1	1	yes	characteristic, complemented
55	C₃×#930	C₂²	1	1	yes	characteristic, complemented
56	C₃×#929	C₂²	1	2	yes	complemented
57	C₃×#929	C₂²	1	2	yes	complemented
58	C₃×C₄×#67	C₂²	1	2	yes	complemented
59	C₃×C₄×#67	C₂²	1	2	yes	complemented
60	C₃×C₄×#67	C₂²	1	2	yes	complemented
61	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
62	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
63	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
64	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
65	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
67	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
69	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
70	C₃×#926	C₂²	1	1	yes	characteristic, complemented
71	C₃×#924	C₂²	1	1	yes	characteristic, complemented
72	C₃×#924	C₂²	1	1	yes	characteristic, complemented
73	C₃×#898	C₂²	1	2	yes	complemented
74	C₃×#898	C₂²	1	2	yes	complemented
75	C₃×#898	C₂²	1	2	yes	complemented
76	C₃×#897	C₂²	1	2	yes	complemented
77	C₃×#896	C₂²	1	2	yes	complemented
78	C₃×#896	C₂²	1	2	yes	complemented
79	C₃×#895	C₂²	1	2	yes	complemented
80	C₃×#894	C₂²	1	2	yes	complemented
81	C₃×#894	C₂²	1	2	yes	complemented
82	C₃×#894	C₂²	1	2	yes	complemented
83	C₃×#893	C₂²	1	2	yes	complemented
84	C₃×#892	C₂²	1	2	yes	complemented
85	C₃×#886	C₂²	1	2	yes	complemented
86	C₃×#886	C₂²	1	2	yes	complemented
87	C₃×#885	C₂²	1	2	yes	complemented
88	C₃×#885	C₂²	1	2	yes	complemented
89	C₃×#884	C₂²	1	2	yes	complemented
90	C₃×#883	C₂²	1	2	yes	complemented
91	C₃×#882	C₂²	1	2	yes	—
92	C₃×#882	C₂²	1	2	yes	—
93	C₃×#882	C₂²	1	2	yes	complemented
94	C₃×#882	C₂²	1	2	yes	complemented
95	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
96	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
97	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
98	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
99	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
100	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
101	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
102	C₃×#878	C₂²	1	2	yes	complemented
103	C₃×#878	C₂²	1	2	yes	complemented
104	C₃×#877	C₂²	1	2	yes	complemented
105	C₃×#876	C₂²	1	2	yes	complemented
106	C₃×#875	C₂²	1	2	yes	complemented
107	C₃×C₄×D₁₂	C₂²	1	2	yes	complemented
108	C₃×#872	C₂²	1	2	yes	complemented
109	C₃×#551	—	3	2	no	—
110	C₃×#551	—	3	2	no	—
111	C₃×#551	—	3	2	no	—
112	C₃×#551	—	3	2	no	—
113	C₃×#546	—	3	2	no	—
114	C₃×#546	—	3	2	no	—
115	C₃×#546	—	3	2	no	—
116	C₃×#546	—	3	2	no	—
117	C₃×#543	—	3	1	no	—
118	C₃×#538	—	3	1	no	—
119	C₃×#538	—	3	1	no	—
120	C₃×#538	—	3	2	no	—
121	C₃×#534	—	3	1	no	—
122	C₃×#525	—	2	1	no	—
123	C₃×#525	—	3	1	no	—
124	C₃×#525	—	3	2	no	—
125	C₃×#525	D₃	1	1	yes	characteristic, complemented
126	C₃×#525	C₂×C₃	1	1	yes	characteristic, complemented
127	C₂×C₃×#120	—	3	2	no	—
128	C₃×#518	—	3	2	no	—
129	C₂²×C₃×C₂²⋊C₄	—	3	1	no	—
130	#5829	C₂×C₃	1	2	yes	complemented
131	#5791	C₂×C₃	1	1	yes	characteristic, complemented
132	C₂²×(C₂×D₃)⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
133	#5658	C₂×C₃	1	2	yes	complemented
134	#5654	C₂×C₃	1	2	yes	complemented
135	#5644	C₂×C₃	1	1	yes	characteristic, complemented
136	#5637	C₂×C₃	1	2	yes	complemented
137	#5634	C₂×C₃	1	1	yes	characteristic, complemented
138	#5617	C₂×C₃	1	1	yes	characteristic, complemented
139	#5610	C₂×C₃	1	2	yes	complemented
140	#5605	C₂×C₃	1	1	yes	characteristic, complemented
141	D₃×#120	C₂×C₃	1	2	yes	complemented
142	#5586	C₂×C₃	1	2	yes	complemented
143	#5560	C₂×C₃	1	2	yes	complemented
144	#5556	C₂×C₃	1	2	yes	complemented
145	#5554	C₂×C₃	1	2	yes	complemented
146	#5545	C₂×C₃	1	2	yes	complemented
147	#5527	C₂×C₃	1	2	yes	complemented
148	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
149	C₂³×C₃×D₃	—	2	4	no	—
150	C₂³×C₃×D₃	—	4	2	no	—
151	C₂³×C₃×D₃	—	4	2	no	—
152	C₂³×C₃×D₃	C₂³	1	2	yes	—
153	C₂³×C₃×D₃	C₂³	1	2	yes	—
154	C₂³×C₃×D₃	C₂³	1	2	yes	—
155	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
156	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
157	C₃²×#41	—	4	2	no	—
158	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic, complemented
159	C₂×C₃²×D₄	C₂³	1	2	yes	—
160	C₂×C₃²×D₄	C₂³	1	2	yes	—
161	C₂×C₃²×D₄	C₂³	1	2	yes	—
162	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic, complemented
163	C₂²×C₃²×C₄	—	4	2	no	—
164	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
165	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
166	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
167	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
168	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
169	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
170	C₂²×C₃²×C₄	C₂³	1	2	yes	complemented
171	C₂×C₃×#67	C₂³	1	2	yes	—
172	C₂×C₃×#67	C₂³	1	2	yes	—
173	C₂×C₃×#67	C₂³	1	2	yes	—
174	C₂×C₃×#67	C₂³	1	2	yes	—
175	C₂×C₃×#67	C₂³	1	2	yes	—
176	C₂×C₃×#67	C₂³	1	2	yes	—
177	C₂×C₃×#67	C₂³	1	2	yes	complemented
178	C₂²×C₃×Dic₃	—	4	2	no	—
179	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
180	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
181	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
182	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
183	C₂²×C₃×Dic₃	C₂³	1	2	yes	complemented
184	C₃×#237	—	4	4	no	—
185	C₃×D₃×D₄	—	2	8	no	—
186	C₃×D₃×D₄	—	4	4	no	—
187	C₃×D₃×D₄	—	4	4	no	—
188	C₃×#235	—	4	2	no	—
189	C₂×C₃×D₁₂	C₂³	1	2	yes	—
190	C₂×C₃×D₁₂	C₂³	1	2	yes	—
191	C₂×C₃×D₁₂	C₂³	1	2	yes	—
192	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic, complemented
193	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
194	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
195	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
196	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
197	C₂×C₃×C₄×D₃	C₂³	1	2	yes	complemented
198	C₂×C₃×Dic₆	C₂³	1	2	yes	complemented
199	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic, complemented
200	C₃²×C₄⋊C₄	C₂³	1	2	yes	complemented
201	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
202	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
203	C₃²×C₄⋊C₄	C₂³	1	2	yes	complemented
204	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
206	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₃²×C₂²⋊C₄	C₂³	1	2	yes	complemented
208	C₃²×C₂²⋊C₄	C₂³	1	2	yes	complemented
209	C₃²×C₄²	C₂³	1	2	yes	complemented
210	C₃×#217	C₂³	1	2	yes	—
211	C₃×#217	C₂³	1	2	yes	—
212	C₃×#217	C₂³	1	2	yes	—
213	C₃×#217	C₂³	1	2	yes	complemented
214	C₃×#217	C₂³	1	2	yes	complemented
215	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
216	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
217	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
218	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
219	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
220	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
221	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
222	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
223	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
224	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
225	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
226	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
227	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
228	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
229	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
230	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
231	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
232	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
233	C₃×C₄⋊Dic₃	C₂³	1	2	yes	complemented
234	C₃×C₄⋊Dic₃	C₂³	1	2	yes	complemented
235	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
236	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
237	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
238	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
239	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
240	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
241	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
242	C₃×Dic₃⋊C₄	C₂³	1	2	yes	complemented
243	C₃×C₄×Dic₃	C₂³	1	2	yes	complemented
244	C₃×C₄×Dic₃	C₂³	1	2	yes	complemented
245	C₃×C₄×Dic₃	C₂³	1	2	yes	complemented
246	#3490	—	3	1	no	Sylow
247	C₂⁵×C₃	—	3	1	no	—
248	C₂⁴×D₃	C₂²×C₃	1	1	yes	characteristic
249	C₂×C₃×#41	—	2	1	no	—
250	C₂×C₃×#41	—	3	2	no	—
251	C₂×C₃×#41	—	3	1	no	—
252	C₂×C₃×#41	C₂×D₃	1	1	yes	characteristic, complemented
253	C₂×C₃×#41	C₂²×C₃	1	1	yes	characteristic, complemented
254	C₂²×C₃×D₄	—	3	2	no	—
255	C₂²×C₃×D₄	—	3	2	no	—
256	C₂²×C₃×D₄	—	3	2	no	—
257	C₂³×C₃×C₄	—	2	1	no	—
258	C₂³×C₃×C₄	—	3	1	no	—
259	C₂³×C₃×C₄	C₂×D₃	1	1	yes	characteristic, complemented
260	C₂³×C₃×C₄	C₂²×C₃	1	1	yes	characteristic, complemented
261	C₂³×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
262	C₂×#237	C₂²×C₃	1	2	yes	complemented
263	C₂×D₃×D₄	C₂²×C₃	1	2	yes	—
264	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
265	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
266	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
267	C₃×#126	—	3	2	no	—
268	C₃×#126	—	3	2	no	—
269	C₃×#126	—	3	2	no	—
270	C₃×#126	—	3	2	no	—
271	C₃×#124	—	3	2	no	—
272	C₃×#124	—	3	2	no	—
273	C₃×#124	—	3	2	no	—
274	C₃×#124	—	3	2	no	—
275	C₃×#123	—	2	2	no	—
276	C₃×#123	—	3	2	no	—
277	C₃×#123	—	3	2	no	—
278	C₃×#123	—	3	2	no	—
279	C₃×#123	—	3	2	no	—
280	C₃×#123	—	3	2	no	—
281	C₃×#123	—	3	2	no	—
282	C₃×#123	—	3	2	no	—
283	C₃×#123	—	3	2	no	—
284	C₃×#123	—	3	2	no	—
285	C₃×#123	C₂×D₃	1	2	yes	complemented
286	C₃×#123	C₂²×C₃	1	2	yes	complemented
287	C₃×C₂²⋊Q₈	—	2	1	no	—
288	C₃×C₂²⋊Q₈	—	2	1	no	—
289	C₃×C₂²⋊Q₈	—	3	2	no	—
290	C₃×C₂²⋊Q₈	—	3	1	no	—
291	C₃×C₂²⋊Q₈	—	3	1	no	—
292	C₃×C₂²⋊Q₈	—	3	2	no	—
293	C₃×C₂²⋊Q₈	—	3	2	no	—
294	C₃×C₂²⋊Q₈	—	3	2	no	—
295	C₃×C₂²⋊Q₈	—	3	2	no	—
296	C₃×C₂²⋊Q₈	—	3	2	no	—
297	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
298	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
299	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
300	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
301	C₃×#121	—	2	1	no	—
302	C₃×#121	—	2	1	no	—
303	C₃×#121	—	3	2	no	—
304	C₃×#121	—	3	2	no	—
305	C₃×#121	—	3	2	no	—
306	C₃×#121	—	3	1	no	—
307	C₃×#121	—	3	1	no	—
308	C₃×#121	—	3	2	no	—
309	C₃×#121	—	3	2	no	—
310	C₃×#121	—	3	2	no	—
311	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
312	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
313	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
314	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
315	C₃×#120	—	2	2	no	—
316	C₃×#120	—	3	2	no	—
317	C₃×#120	—	3	2	no	—
318	C₃×#120	—	3	2	no	—
319	C₃×#120	—	3	2	no	—
320	C₃×#120	—	3	2	no	—
321	C₃×#120	—	3	2	no	—
322	C₃×#120	—	3	2	no	—
323	C₃×#120	—	3	2	no	—
324	C₃×#120	—	3	2	no	—
325	C₃×#120	C₂×D₃	1	2	yes	complemented
326	C₃×#120	C₂²×C₃	1	2	yes	complemented
327	C₃×C₄×D₄	—	2	2	no	—
328	C₃×C₄×D₄	—	2	2	no	—
329	C₃×C₄×D₄	—	3	2	no	—
330	C₃×C₄×D₄	—	3	2	no	—
331	C₃×C₄×D₄	—	3	2	no	—
332	C₃×C₄×D₄	—	3	2	no	—
333	C₃×C₄×D₄	—	3	2	no	—
334	C₃×C₄×D₄	—	3	2	no	—
335	C₃×C₄×D₄	—	3	2	no	—
336	C₃×C₄×D₄	—	3	2	no	—
337	C₃×C₄×D₄	—	3	2	no	—
338	C₃×C₄×D₄	—	3	2	no	—
339	C₃×C₄×D₄	C₂×D₃	1	2	yes	complemented
340	C₃×C₄×D₄	C₂×D₃	1	2	yes	complemented
341	C₃×C₄×D₄	C₂²×C₃	1	2	yes	complemented
342	C₃×C₄×D₄	C₂²×C₃	1	2	yes	complemented
343	C₃×#117	—	2	1	no	—
344	C₃×#117	—	3	1	no	—
345	C₃×#117	—	3	2	no	—
346	C₃×#117	—	3	2	no	—
347	C₃×#117	—	3	2	no	—
348	C₃×#117	C₂×D₃	1	1	yes	characteristic, complemented
349	C₃×#117	C₂²×C₃	1	1	yes	characteristic, complemented
350	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
351	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
352	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
353	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
354	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
355	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
356	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
357	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
358	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
359	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
360	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
361	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
362	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
363	#953	C₂²×C₃	1	2	yes	complemented
364	#947	C₂²×C₃	1	2	yes	complemented
365	#946	C₂²×C₃	1	2	yes	complemented
366	#939	C₂²×C₃	1	2	yes	complemented
367	#939	C₂²×C₃	1	2	yes	complemented
368	#939	C₂²×C₃	1	2	yes	complemented
369	#937	C₂²×C₃	1	2	yes	—
370	#937	C₂²×C₃	1	2	yes	—
371	#937	C₂²×C₃	1	2	yes	complemented
372	#937	C₂²×C₃	1	2	yes	complemented
373	#935	C₂²×C₃	1	2	yes	complemented
374	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
375	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
376	#930	C₂²×C₃	1	2	yes	complemented
377	#930	C₂²×C₃	1	1	yes	characteristic, complemented
378	#930	C₂²×C₃	1	1	yes	characteristic, complemented
379	#929	C₂²×C₃	1	2	yes	complemented
380	#929	C₂²×C₃	1	2	yes	complemented
381	C₄×#67	C₂²×C₃	1	2	yes	complemented
382	C₄×#67	C₂²×C₃	1	2	yes	complemented
383	C₄×#67	C₂²×C₃	1	2	yes	complemented
384	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
385	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
386	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
387	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
388	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
389	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
390	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
391	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
392	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
393	#926	C₂²×C₃	1	1	yes	characteristic, complemented
394	#924	C₂²×C₃	1	1	yes	characteristic, complemented
395	#924	C₂²×C₃	1	1	yes	characteristic, complemented
396	#898	C₂²×C₃	1	2	yes	complemented
397	#898	C₂²×C₃	1	2	yes	complemented
398	#898	C₂²×C₃	1	2	yes	complemented
399	#897	C₂²×C₃	1	2	yes	complemented
400	#896	C₂²×C₃	1	2	yes	complemented
401	#896	C₂²×C₃	1	2	yes	complemented
402	#895	C₂²×C₃	1	2	yes	complemented
403	#894	C₂²×C₃	1	2	yes	complemented
404	#894	C₂²×C₃	1	2	yes	complemented
405	#894	C₂²×C₃	1	2	yes	complemented
406	#893	C₂²×C₃	1	2	yes	complemented
407	#892	C₂²×C₃	1	2	yes	complemented
408	#886	C₂²×C₃	1	2	yes	complemented
409	#886	C₂²×C₃	1	2	yes	complemented
410	#885	C₂²×C₃	1	2	yes	complemented
411	#885	C₂²×C₃	1	2	yes	complemented
412	#884	C₂²×C₃	1	2	yes	complemented
413	#883	C₂²×C₃	1	2	yes	complemented
414	#882	C₂²×C₃	1	2	yes	—
415	#882	C₂²×C₃	1	2	yes	—
416	#882	C₂²×C₃	1	2	yes	complemented
417	#882	C₂²×C₃	1	2	yes	complemented
418	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
419	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
420	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
421	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
422	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
423	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
424	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
425	#878	C₂²×C₃	1	2	yes	complemented
426	#878	C₂²×C₃	1	2	yes	complemented
427	#877	C₂²×C₃	1	2	yes	complemented
428	#876	C₂²×C₃	1	2	yes	complemented
429	#875	C₂²×C₃	1	2	yes	complemented
430	C₄×D₁₂	C₂²×C₃	1	2	yes	complemented
431	#872	C₂²×C₃	1	2	yes	complemented
432	C₂³×C₃²	—	2	2	no	—
433	C₂³×C₃²	—	2	2	no	—
434	C₂³×C₃²	—	2	2	no	—
435	C₂³×C₃²	C₂⁴	1	2	yes	—
436	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
437	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
438	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
439	C₂²×C₃×D₃	—	2	2	no	—
440	C₂²×C₃×D₃	—	2	4	no	—
441	C₂²×C₃×D₃	—	2	4	no	—
442	C₂²×C₃×D₃	—	2	4	no	—
443	C₂²×C₃×D₃	—	2	4	no	—
444	C₂²×C₃×D₃	—	2	4	no	—
445	C₂²×C₃×D₃	—	4	1	no	—
446	C₂²×C₃×D₃	—	4	1	no	—
447	C₂²×C₃×D₃	—	4	2	no	—
448	C₂²×C₃×D₃	—	4	2	no	—
449	C₂²×C₃×D₃	—	4	1	no	—
450	C₂²×C₃×D₃	—	4	1	no	—
451	C₂²×C₃×D₃	—	4	2	no	—
452	C₂²×C₃×D₃	—	4	2	no	—
453	C₂²×C₃×D₃	—	4	16	no	—
454	C₂²×C₃×D₃	#41	1	4	yes	complemented
455	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
456	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
457	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
458	C₃²×Q₈	—	4	1	no	—
459	C₃²×D₄	—	2	4	no	—
460	C₃²×D₄	—	2	4	no	—
461	C₃²×D₄	—	2	4	no	—
462	C₃²×D₄	—	4	1	no	—
463	C₂×C₃²×C₄	—	2	2	no	—
464	C₂×C₃²×C₄	—	2	2	no	—
465	C₂×C₃²×C₄	—	4	1	no	—
466	C₂×C₃²×C₄	—	4	1	no	—
467	C₂×C₃²×C₄	—	4	1	no	—
468	C₂×C₃²×C₄	—	4	1	no	—
469	C₂×C₃²×C₄	—	4	2	no	—
470	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
471	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
472	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
473	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
474	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
475	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
476	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
477	C₃×#67	—	2	4	no	—
478	C₃×#67	—	2	4	no	—
479	C₃×#67	—	2	4	no	—
480	C₃×#67	—	2	4	no	—
481	C₃×#67	—	4	2	no	—
482	C₃×#67	—	4	2	no	—
483	C₃×#67	—	4	2	no	—
484	C₂×C₃×Dic₃	—	2	4	no	—
485	C₂×C₃×Dic₃	—	4	2	no	—
486	C₂×C₃×Dic₃	—	4	1	no	—
487	C₂×C₃×Dic₃	—	4	2	no	—
488	C₂×C₃×Dic₃	—	4	1	no	—
489	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
490	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
491	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
492	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
493	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
494	C₃×D₁₂	—	2	4	no	—
495	C₃×D₁₂	—	4	2	no	—
496	C₃×D₁₂	—	4	2	no	—
497	C₃×D₁₂	—	4	1	no	—
498	C₃×C₄×D₃	—	2	4	no	—
499	C₃×C₄×D₃	—	4	2	no	—
500	C₃×C₄×D₃	—	4	2	no	—
501	C₃×C₄×D₃	—	4	2	no	—
502	C₃×C₄×D₃	—	4	2	no	—
503	C₃×Dic₆	—	4	1	no	—
504	C₃×Dic₆	—	4	2	no	—
505	#551	—	3	2	no	—
506	#551	—	3	2	no	—
507	#551	—	3	2	no	—
508	#551	—	3	2	no	—
509	#546	—	3	2	no	—
510	#546	—	3	2	no	—
511	#546	—	3	2	no	—
512	#546	—	3	2	no	—
513	#543	—	3	1	no	—
514	#538	—	3	1	no	—
515	#538	—	3	1	no	—
516	#538	—	3	2	no	—
517	#534	—	3	1	no	—
518	#525	—	3	1	no	—
519	#525	—	3	2	no	—
520	#525	C₃×D₃	1	1	yes	characteristic, complemented
521	C₂×#120	—	3	2	no	—
522	#518	—	3	2	no	—
523	C₂²×C₂²⋊C₄	—	3	1	no	—
524	C₂⁴×C₃	—	2	1	no	—
525	C₂⁴×C₃	—	3	1	no	—
526	C₂⁴×C₃	—	3	2	no	—
527	C₂⁴×C₃	—	3	2	no	—
528	C₂⁴×C₃	—	3	1	no	—
529	C₂⁴×C₃	—	3	2	no	—
530	C₂⁴×C₃	—	6	4	no	—
531	C₂⁴×C₃	—	12	2	no	—
532	C₂⁴×C₃	—	12	2	no	—
533	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
534	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
535	C₂³×D₃	—	2	4	no	—
536	C₂³×D₃	—	4	2	no	—
537	C₂³×D₃	—	4	2	no	—
538	C₂³×D₃	C₂³×C₃	1	2	yes	—
539	C₂³×D₃	C₂³×C₃	1	2	yes	—
540	C₂³×D₃	C₂³×C₃	1	2	yes	—
541	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
542	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
543	C₃×#41	—	4	2	no	—
544	C₃×#41	—	4	2	no	—
545	C₃×#41	—	4	4	no	—
546	C₃×#41	—	12	2	no	—
547	C₃×#41	—	12	4	no	—
548	C₂×C₃×Q₈	—	2	1	no	—
549	C₂×C₃×Q₈	—	3	1	no	—
550	C₂×C₃×Q₈	—	3	2	no	—
551	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
552	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
553	C₂×C₃×D₄	—	2	2	no	—
554	C₂×C₃×D₄	—	2	2	no	—
555	C₂×C₃×D₄	—	2	2	no	—
556	C₂×C₃×D₄	—	2	1	no	—
557	C₂×C₃×D₄	—	3	2	no	—
558	C₂×C₃×D₄	—	3	2	no	—
559	C₂×C₃×D₄	—	3	2	no	—
560	C₂×C₃×D₄	—	3	2	no	—
561	C₂×C₃×D₄	—	3	2	no	—
562	C₂×C₃×D₄	—	3	2	no	—
563	C₂×C₃×D₄	—	3	2	no	—
564	C₂×C₃×D₄	—	3	2	no	—
565	C₂×C₃×D₄	—	3	1	no	—
566	C₂×C₃×D₄	—	3	2	no	—
567	C₂×C₃×D₄	—	3	2	no	—
568	C₂×C₃×D₄	—	6	8	no	—
569	C₂×C₃×D₄	—	12	4	no	—
570	C₂×C₃×D₄	—	12	4	no	—
571	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
572	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
573	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
574	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic, complemented
575	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
576	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
577	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
578	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
579	C₂²×C₃×C₄	—	2	1	no	—
580	C₂²×C₃×C₄	—	2	1	no	—
581	C₂²×C₃×C₄	—	2	1	no	—
582	C₂²×C₃×C₄	—	2	1	no	—
583	C₂²×C₃×C₄	—	2	1	no	—
584	C₂²×C₃×C₄	—	2	1	no	—
585	C₂²×C₃×C₄	—	2	2	no	—
586	C₂²×C₃×C₄	—	3	2	no	—
587	C₂²×C₃×C₄	—	3	1	no	—
588	C₂²×C₃×C₄	—	3	2	no	—
589	C₂²×C₃×C₄	—	3	1	no	—
590	C₂²×C₃×C₄	—	3	2	no	—
591	C₂²×C₃×C₄	—	3	2	no	—
592	C₂²×C₃×C₄	—	3	2	no	—
593	C₂²×C₃×C₄	—	3	2	no	—
594	C₂²×C₃×C₄	—	3	2	no	—
595	C₂²×C₃×C₄	—	3	2	no	—
596	C₂²×C₃×C₄	—	4	2	no	—
597	C₂²×C₃×C₄	—	4	2	no	—
598	C₂²×C₃×C₄	—	4	4	no	—
599	C₂²×C₃×C₄	—	12	2	no	—
600	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
601	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
602	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
603	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
604	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
605	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
606	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	complemented
607	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
608	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
609	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
610	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
611	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
612	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
613	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	complemented
614	C₂×#67	C₂³×C₃	1	2	yes	—
615	C₂×#67	C₂³×C₃	1	2	yes	—
616	C₂×#67	C₂³×C₃	1	2	yes	—
617	C₂×#67	C₂³×C₃	1	2	yes	—
618	C₂×#67	C₂³×C₃	1	2	yes	—
619	C₂×#67	C₂³×C₃	1	2	yes	—
620	C₂×#67	C₂³×C₃	1	2	yes	complemented
621	C₂²×Dic₃	—	4	2	no	—
622	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
623	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
624	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
625	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
626	C₂²×Dic₃	C₂³×C₃	1	2	yes	complemented
627	#237	—	4	4	no	—
628	D₃×D₄	—	2	8	no	—
629	D₃×D₄	—	4	4	no	—
630	D₃×D₄	—	4	4	no	—
631	#235	—	4	2	no	—
632	C₂×D₁₂	C₂³×C₃	1	2	yes	—
633	C₂×D₁₂	C₂³×C₃	1	2	yes	—
634	C₂×D₁₂	C₂³×C₃	1	2	yes	—
635	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic, complemented
636	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
637	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
638	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
639	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
640	C₂×C₄×D₃	C₂³×C₃	1	2	yes	complemented
641	C₂×Dic₆	C₂³×C₃	1	2	yes	complemented
642	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic, complemented
643	C₃×C₄⋊C₄	—	2	1	no	—
644	C₃×C₄⋊C₄	—	2	1	no	—
645	C₃×C₄⋊C₄	—	2	2	no	—
646	C₃×C₄⋊C₄	—	2	2	no	—
647	C₃×C₄⋊C₄	—	3	2	no	—
648	C₃×C₄⋊C₄	—	3	2	no	—
649	C₃×C₄⋊C₄	—	3	2	no	—
650	C₃×C₄⋊C₄	—	3	2	no	—
651	C₃×C₄⋊C₄	—	3	2	no	—
652	C₃×C₄⋊C₄	—	3	2	no	—
653	C₃×C₄⋊C₄	—	3	2	no	—
654	C₃×C₄⋊C₄	—	3	1	no	—
655	C₃×C₄⋊C₄	—	3	1	no	—
656	C₃×C₄⋊C₄	—	3	2	no	—
657	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
658	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
659	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
660	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
661	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
662	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
663	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
664	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
665	C₃×C₂²⋊C₄	—	2	2	no	—
666	C₃×C₂²⋊C₄	—	2	2	no	—
667	C₃×C₂²⋊C₄	—	2	2	no	—
668	C₃×C₂²⋊C₄	—	2	2	no	—
669	C₃×C₂²⋊C₄	—	2	2	no	—
670	C₃×C₂²⋊C₄	—	3	2	no	—
671	C₃×C₂²⋊C₄	—	3	2	no	—
672	C₃×C₂²⋊C₄	—	3	2	no	—
673	C₃×C₂²⋊C₄	—	3	2	no	—
674	C₃×C₂²⋊C₄	—	3	2	no	—
675	C₃×C₂²⋊C₄	—	3	2	no	—
676	C₃×C₂²⋊C₄	—	3	2	no	—
677	C₃×C₂²⋊C₄	—	3	2	no	—
678	C₃×C₂²⋊C₄	—	3	2	no	—
679	C₃×C₂²⋊C₄	—	3	2	no	—
680	C₃×C₂²⋊C₄	—	3	2	no	—
681	C₃×C₂²⋊C₄	—	3	2	no	—
682	C₃×C₂²⋊C₄	—	3	2	no	—
683	C₃×C₂²⋊C₄	—	3	2	no	—
684	C₃×C₂²⋊C₄	—	3	2	no	—
685	C₃×C₂²⋊C₄	—	3	2	no	—
686	C₃×C₂²⋊C₄	—	3	2	no	—
687	C₃×C₂²⋊C₄	—	3	2	no	—
688	C₃×C₂²⋊C₄	—	3	2	no	—
689	C₃×C₂²⋊C₄	—	3	2	no	—
690	C₃×C₂²⋊C₄	—	3	2	no	—
691	C₃×C₂²⋊C₄	—	3	2	no	—
692	C₃×C₂²⋊C₄	—	3	2	no	—
693	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
694	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
695	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
696	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	complemented
697	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	complemented
698	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
699	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
700	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
701	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
702	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
703	C₃×C₄²	—	2	2	no	—
704	C₃×C₄²	—	3	2	no	—
705	C₃×C₄²	—	3	2	no	—
706	C₃×C₄²	—	3	2	no	—
707	C₃×C₄²	C₂²×D₃	1	2	yes	complemented
708	C₃×C₄²	C₂³×C₃	1	2	yes	complemented
709	#217	C₂³×C₃	1	2	yes	—
710	#217	C₂³×C₃	1	2	yes	—
711	#217	C₂³×C₃	1	2	yes	—
712	#217	C₂³×C₃	1	2	yes	complemented
713	#217	C₂³×C₃	1	2	yes	complemented
714	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
715	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
716	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
717	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
718	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
719	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
720	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
721	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
722	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
723	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
724	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
725	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
726	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
727	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
728	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
729	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
730	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
731	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	complemented
732	C₄⋊Dic₃	C₂³×C₃	1	2	yes	complemented
733	C₄⋊Dic₃	C₂³×C₃	1	2	yes	complemented
734	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
735	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic, complemented
736	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
737	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
738	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
739	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
740	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
741	Dic₃⋊C₄	C₂³×C₃	1	2	yes	complemented
742	C₄×Dic₃	C₂³×C₃	1	2	yes	complemented
743	C₄×Dic₃	C₂³×C₃	1	2	yes	complemented
744	C₄×Dic₃	C₂³×C₃	1	2	yes	complemented
745	C₂²×C₃²	—	2	8	no	—
746	C₂²×C₃²	—	2	1	no	—
747	C₂²×C₃²	—	2	1	no	—
748	C₂²×C₃²	—	2	1	no	—
749	C₂²×C₃²	—	2	1	no	—
750	C₂²×C₃²	—	2	1	no	—
751	C₂²×C₃²	—	2	1	no	—
752	C₂²×C₃²	—	2	2	no	—
753	C₂²×C₃²	—	2	2	no	—
754	C₂²×C₃²	—	2	2	no	—
755	C₂²×C₃²	C₂×#41	1	2	yes	—
756	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
757	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
758	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
759	C₂×C₃×D₃	—	2	2	no	—
760	C₂×C₃×D₃	—	2	2	no	—
761	C₂×C₃×D₃	—	2	2	no	—
762	C₂×C₃×D₃	—	2	2	no	—
763	C₂×C₃×D₃	—	2	2	no	—
764	C₂×C₃×D₃	—	2	2	no	—
765	C₂×C₃×D₃	—	2	2	no	—
766	C₂×C₃×D₃	—	2	2	no	—
767	C₂×C₃×D₃	—	4	4	no	—
768	C₂×C₃×D₃	—	4	8	no	—
769	C₂×C₃×D₃	—	4	8	no	—
770	C₂×C₃×D₃	—	4	4	no	—
771	C₂×C₃×D₃	—	8	4	no	—
772	C₂×C₃×D₃	C₂×#41	1	4	yes	—
773	C₃²×C₄	—	2	1	no	—
774	C₃²×C₄	—	2	1	no	—
775	C₃²×C₄	—	2	2	no	—
776	C₃²×C₄	—	2	2	no	—
777	C₃²×C₄	—	2	1	no	—
778	C₃²×C₄	—	2	1	no	—
779	C₃²×C₄	—	2	2	no	—
780	C₃×Dic₃	—	2	2	no	—
781	C₃×Dic₃	—	2	2	no	—
782	C₃×Dic₃	—	2	2	no	—
783	C₃×Dic₃	—	2	2	no	—
784	C₃×Dic₃	—	2	2	no	—
785	C₂⁵	—	3	1	no	—
786	C₂×#41	—	3	2	no	—
787	C₂×#41	—	3	1	no	—
788	C₂×#41	C₂×C₃×D₃	1	1	yes	characteristic, complemented
789	C₂²×D₄	—	3	2	no	—
790	C₂²×D₄	—	3	2	no	—
791	C₂²×D₄	—	3	2	no	—
792	C₂³×C₄	—	3	1	no	—
793	C₂³×C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
794	#126	—	3	2	no	—
795	#126	—	3	2	no	—
796	#126	—	3	2	no	—
797	#126	—	3	2	no	—
798	#124	—	3	2	no	—
799	#124	—	3	2	no	—
800	#124	—	3	2	no	—
801	#124	—	3	2	no	—
802	#123	—	3	2	no	—
803	#123	—	3	2	no	—
804	#123	—	3	2	no	—
805	#123	—	3	2	no	—
806	#123	—	3	2	no	—
807	#123	—	3	2	no	—
808	#123	—	3	2	no	—
809	#123	—	3	2	no	—
810	#123	—	3	2	no	—
811	#123	C₂×C₃×D₃	1	2	yes	complemented
812	C₂²⋊Q₈	—	3	2	no	—
813	C₂²⋊Q₈	—	3	1	no	—
814	C₂²⋊Q₈	—	3	1	no	—
815	C₂²⋊Q₈	—	3	2	no	—
816	C₂²⋊Q₈	—	3	2	no	—
817	C₂²⋊Q₈	—	3	2	no	—
818	C₂²⋊Q₈	—	3	2	no	—
819	C₂²⋊Q₈	—	3	2	no	—
820	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
821	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
822	#121	—	3	2	no	—
823	#121	—	3	2	no	—
824	#121	—	3	2	no	—
825	#121	—	3	1	no	—
826	#121	—	3	1	no	—
827	#121	—	3	2	no	—
828	#121	—	3	2	no	—
829	#121	—	3	2	no	—
830	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
831	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
832	#120	—	3	2	no	—
833	#120	—	3	2	no	—
834	#120	—	3	2	no	—
835	#120	—	3	2	no	—
836	#120	—	3	2	no	—
837	#120	—	3	2	no	—
838	#120	—	3	2	no	—
839	#120	—	3	2	no	—
840	#120	—	3	2	no	—
841	#120	C₂×C₃×D₃	1	2	yes	complemented
842	C₄×D₄	—	3	2	no	—
843	C₄×D₄	—	3	2	no	—
844	C₄×D₄	—	3	2	no	—
845	C₄×D₄	—	3	2	no	—
846	C₄×D₄	—	3	2	no	—
847	C₄×D₄	—	3	2	no	—
848	C₄×D₄	—	3	2	no	—
849	C₄×D₄	—	3	2	no	—
850	C₄×D₄	—	3	2	no	—
851	C₄×D₄	—	3	2	no	—
852	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
853	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
854	#117	—	3	1	no	—
855	#117	—	3	2	no	—
856	#117	—	3	2	no	—
857	#117	—	3	2	no	—
858	#117	C₂×C₃×D₃	1	1	yes	characteristic, complemented
859	C₂×C₂²⋊C₄	—	3	1	no	—
860	C₂×C₂²⋊C₄	—	3	1	no	—
861	C₂×C₂²⋊C₄	—	3	1	no	—
862	C₂×C₂²⋊C₄	—	3	1	no	—
863	C₂×C₂²⋊C₄	—	3	2	no	—
864	C₂×C₂²⋊C₄	—	3	2	no	—
865	C₂×C₂²⋊C₄	—	3	2	no	—
866	C₂×C₂²⋊C₄	—	3	2	no	—
867	C₂×C₂²⋊C₄	—	3	2	no	—
868	C₂×C₂²⋊C₄	—	3	2	no	—
869	C₂×C₂²⋊C₄	—	3	2	no	—
870	C₂×C₂²⋊C₄	—	3	2	no	—
871	C₂×C₂²⋊C₄	—	3	2	no	—
872	C₂³×C₃	—	2	2	no	—
873	C₂³×C₃	—	2	2	no	—
874	C₂³×C₃	—	2	2	no	—
875	C₂³×C₃	—	2	2	no	—
876	C₂³×C₃	—	2	2	no	—
877	C₂³×C₃	—	2	2	no	—
878	C₂³×C₃	—	2	1	no	—
879	C₂³×C₃	—	2	1	no	—
880	C₂³×C₃	—	2	1	no	—
881	C₂³×C₃	—	2	2	no	—
882	C₂³×C₃	—	3	2	no	—
883	C₂³×C₃	—	3	4	no	—
884	C₂³×C₃	—	3	2	no	—
885	C₂³×C₃	—	3	2	no	—
886	C₂³×C₃	—	4	2	no	—
887	C₂³×C₃	—	4	2	no	—
888	C₂³×C₃	—	4	2	no	—
889	C₂³×C₃	—	6	4	no	—
890	C₂³×C₃	—	6	4	no	—
891	C₂³×C₃	—	6	4	no	—
892	C₂³×C₃	—	6	4	no	—
893	C₂³×C₃	—	6	2	no	—
894	C₂³×C₃	—	6	4	no	—
895	C₂³×C₃	—	12	1	no	—
896	C₂³×C₃	—	12	2	no	—
897	C₂³×C₃	—	12	1	no	—
898	C₂³×C₃	—	12	1	no	—
899	C₂³×C₃	—	12	2	no	—
900	C₂³×C₃	—	12	1	no	—
901	C₂³×C₃	—	12	2	no	—
902	C₂³×C₃	—	12	2	no	—
903	C₂³×C₃	—	12	16	no	—
904	C₂³×C₃	C₂³×D₃	1	2	yes	—
905	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
906	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
907	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
908	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
909	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
910	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
911	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
912	C₂²×D₃	—	2	2	no	—
913	C₂²×D₃	—	2	4	no	—
914	C₂²×D₃	—	2	4	no	—
915	C₂²×D₃	—	2	4	no	—
916	C₂²×D₃	—	2	4	no	—
917	C₂²×D₃	—	2	4	no	—
918	C₂²×D₃	—	4	1	no	—
919	C₂²×D₃	—	4	1	no	—
920	C₂²×D₃	—	4	2	no	—
921	C₂²×D₃	—	4	2	no	—
922	C₂²×D₃	—	4	1	no	—
923	C₂²×D₃	—	4	1	no	—
924	C₂²×D₃	—	4	2	no	—
925	C₂²×D₃	—	4	2	no	—
926	C₂²×D₃	—	4	16	no	—
927	C₂²×D₃	C₃×#41	1	4	yes	complemented
928	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
929	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
930	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
931	C₃×Q₈	—	4	1	no	—
932	C₃×Q₈	—	4	1	no	—
933	C₃×Q₈	—	4	2	no	—
934	C₃×Q₈	—	12	1	no	—
935	C₃×Q₈	—	12	2	no	—
936	C₃×D₄	—	2	4	no	—
937	C₃×D₄	—	2	4	no	—
938	C₃×D₄	—	2	4	no	—
939	C₃×D₄	—	2	4	no	—
940	C₃×D₄	—	2	4	no	—
941	C₃×D₄	—	2	4	no	—
942	C₃×D₄	—	4	4	no	—
943	C₃×D₄	—	4	4	no	—
944	C₃×D₄	—	4	4	no	—
945	C₃×D₄	—	4	1	no	—
946	C₃×D₄	—	4	1	no	—
947	C₃×D₄	—	4	2	no	—
948	C₃×D₄	—	6	4	no	—
949	C₃×D₄	—	6	4	no	—
950	C₃×D₄	—	6	4	no	—
951	C₃×D₄	—	6	4	no	—
952	C₃×D₄	—	6	4	no	—
953	C₃×D₄	—	12	2	no	—
954	C₃×D₄	—	12	2	no	—
955	C₃×D₄	—	12	1	no	—
956	C₃×D₄	—	12	2	no	—
957	C₃×D₄	—	12	2	no	—
958	C₃×D₄	—	12	2	no	—
959	C₂×C₃×C₄	—	2	4	no	—
960	C₂×C₃×C₄	—	2	2	no	—
961	C₂×C₃×C₄	—	2	2	no	—
962	C₂×C₃×C₄	—	2	2	no	—
963	C₂×C₃×C₄	—	2	2	no	—
964	C₂×C₃×C₄	—	2	1	no	—
965	C₂×C₃×C₄	—	2	1	no	—
966	C₂×C₃×C₄	—	2	2	no	—
967	C₂×C₃×C₄	—	2	2	no	—
968	C₂×C₃×C₄	—	2	1	no	—
969	C₂×C₃×C₄	—	2	1	no	—
970	C₂×C₃×C₄	—	2	2	no	—
971	C₂×C₃×C₄	—	3	2	no	—
972	C₂×C₃×C₄	—	3	2	no	—
973	C₂×C₃×C₄	—	3	2	no	—
974	C₂×C₃×C₄	—	3	2	no	—
975	C₂×C₃×C₄	—	3	2	no	—
976	C₂×C₃×C₄	—	4	2	no	—
977	C₂×C₃×C₄	—	4	1	no	—
978	C₂×C₃×C₄	—	4	1	no	—
979	C₂×C₃×C₄	—	4	1	no	—
980	C₂×C₃×C₄	—	4	1	no	—
981	C₂×C₃×C₄	—	4	1	no	—
982	C₂×C₃×C₄	—	4	1	no	—
983	C₂×C₃×C₄	—	4	1	no	—
984	C₂×C₃×C₄	—	4	1	no	—
985	C₂×C₃×C₄	—	4	2	no	—
986	C₂×C₃×C₄	—	4	2	no	—
987	C₂×C₃×C₄	—	4	2	no	—
988	C₂×C₃×C₄	—	4	2	no	—
989	C₂×C₃×C₄	—	4	2	no	—
990	C₂×C₃×C₄	—	4	2	no	—
991	C₂×C₃×C₄	—	4	4	no	—
992	C₂×C₃×C₄	—	6	4	no	—
993	C₂×C₃×C₄	—	6	4	no	—
994	C₂×C₃×C₄	—	12	2	no	—
995	C₂×C₃×C₄	—	12	2	no	—
996	C₂×C₃×C₄	—	12	2	no	—
997	C₂×C₃×C₄	—	12	2	no	—
998	C₂×C₃×C₄	—	12	1	no	—
999	C₂×C₃×C₄	—	12	2	no	—
1000	C₂×C₃×C₄	—	12	1	no	—
1001	C₂×C₃×C₄	—	12	2	no	—
1002	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1003	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1004	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1005	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1006	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1007	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1008	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1009	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1010	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1011	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1012	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1013	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1014	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1015	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1016	#67	—	2	4	no	—
1017	#67	—	2	4	no	—
1018	#67	—	2	4	no	—
1019	#67	—	2	4	no	—
1020	#67	—	4	2	no	—
1021	#67	—	4	2	no	—
1022	#67	—	4	2	no	—
1023	C₂×Dic₃	—	2	4	no	—
1024	C₂×Dic₃	—	4	2	no	—
1025	C₂×Dic₃	—	4	1	no	—
1026	C₂×Dic₃	—	4	2	no	—
1027	C₂×Dic₃	—	4	1	no	—
1028	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1029	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1030	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1031	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1032	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1033	D₁₂	—	2	4	no	—
1034	D₁₂	—	4	2	no	—
1035	D₁₂	—	4	2	no	—
1036	D₁₂	—	4	1	no	—
1037	C₄×D₃	—	2	4	no	—
1038	C₄×D₃	—	4	2	no	—
1039	C₄×D₃	—	4	2	no	—
1040	C₄×D₃	—	4	2	no	—
1041	C₄×D₃	—	4	2	no	—
1042	Dic₆	—	4	1	no	—
1043	Dic₆	—	4	2	no	—
1044	C₂×C₃²	—	2	2	no	—
1045	C₂×C₃²	—	2	2	no	—
1046	C₂×C₃²	—	2	2	no	—
1047	C₂×C₃²	—	4	2	no	—
1048	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1049	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1050	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1051	C₃×D₃	—	2	4	no	—
1052	C₃×D₃	—	4	2	no	—
1053	C₃×D₃	—	4	2	no	—
1054	C₂⁴	—	3	1	no	—
1055	C₂⁴	—	3	2	no	—
1056	C₂⁴	—	3	2	no	—
1057	C₂⁴	—	3	1	no	—
1058	C₂⁴	—	3	2	no	—
1059	C₂⁴	—	6	4	no	—
1060	C₂⁴	—	12	2	no	—
1061	C₂⁴	—	12	2	no	—
1062	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1063	#41	—	4	2	no	—
1064	#41	—	12	2	no	—
1065	#41	—	12	4	no	—
1066	C₂×Q₈	—	3	1	no	—
1067	C₂×Q₈	—	3	2	no	—
1068	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1069	C₂×D₄	—	3	2	no	—
1070	C₂×D₄	—	3	2	no	—
1071	C₂×D₄	—	3	2	no	—
1072	C₂×D₄	—	3	2	no	—
1073	C₂×D₄	—	3	2	no	—
1074	C₂×D₄	—	3	2	no	—
1075	C₂×D₄	—	3	2	no	—
1076	C₂×D₄	—	3	2	no	—
1077	C₂×D₄	—	3	1	no	—
1078	C₂×D₄	—	3	2	no	—
1079	C₂×D₄	—	3	2	no	—
1080	C₂×D₄	—	6	8	no	—
1081	C₂×D₄	—	12	4	no	—
1082	C₂×D₄	—	12	4	no	—
1083	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1084	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1085	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1086	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1087	C₂²×C₄	—	3	2	no	—
1088	C₂²×C₄	—	3	1	no	—
1089	C₂²×C₄	—	3	2	no	—
1090	C₂²×C₄	—	3	1	no	—
1091	C₂²×C₄	—	3	2	no	—
1092	C₂²×C₄	—	3	2	no	—
1093	C₂²×C₄	—	3	2	no	—
1094	C₂²×C₄	—	3	2	no	—
1095	C₂²×C₄	—	3	2	no	—
1096	C₂²×C₄	—	3	2	no	—
1097	C₂²×C₄	—	4	2	no	—
1098	C₂²×C₄	—	12	2	no	—
1099	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1100	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1101	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1102	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1103	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1104	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1105	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	complemented
1106	C₄⋊C₄	—	3	2	no	—
1107	C₄⋊C₄	—	3	2	no	—
1108	C₄⋊C₄	—	3	2	no	—
1109	C₄⋊C₄	—	3	2	no	—
1110	C₄⋊C₄	—	3	1	no	—
1111	C₄⋊C₄	—	3	2	no	—
1112	C₄⋊C₄	—	3	1	no	—
1113	C₄⋊C₄	—	3	2	no	—
1114	C₄⋊C₄	—	3	2	no	—
1115	C₄⋊C₄	—	3	2	no	—
1116	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1117	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1118	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic, complemented
1119	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1120	C₂²⋊C₄	—	3	2	no	—
1121	C₂²⋊C₄	—	3	2	no	—
1122	C₂²⋊C₄	—	3	2	no	—
1123	C₂²⋊C₄	—	3	2	no	—
1124	C₂²⋊C₄	—	3	2	no	—
1125	C₂²⋊C₄	—	3	2	no	—
1126	C₂²⋊C₄	—	3	2	no	—
1127	C₂²⋊C₄	—	3	2	no	—
1128	C₂²⋊C₄	—	3	2	no	—
1129	C₂²⋊C₄	—	3	2	no	—
1130	C₂²⋊C₄	—	3	2	no	—
1131	C₂²⋊C₄	—	3	2	no	—
1132	C₂²⋊C₄	—	3	2	no	—
1133	C₂²⋊C₄	—	3	2	no	—
1134	C₂²⋊C₄	—	3	2	no	—
1135	C₂²⋊C₄	—	3	2	no	—
1136	C₂²⋊C₄	—	3	2	no	—
1137	C₂²⋊C₄	—	3	2	no	—
1138	C₂²⋊C₄	—	3	2	no	—
1139	C₂²⋊C₄	—	3	2	no	—
1140	C₂²⋊C₄	—	3	2	no	—
1141	C₂²⋊C₄	—	3	2	no	—
1142	C₂²⋊C₄	—	3	2	no	—
1143	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1144	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1145	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1146	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1147	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	complemented
1148	C₄²	—	3	2	no	—
1149	C₄²	—	3	2	no	—
1150	C₄²	—	3	2	no	—
1151	C₄²	C₂²×C₃×D₃	1	2	yes	complemented
1152	C₂²×C₃	—	2	8	no	—
1153	C₂²×C₃	—	2	8	no	—
1154	C₂²×C₃	—	2	1	no	—
1155	C₂²×C₃	—	2	1	no	—
1156	C₂²×C₃	—	2	1	no	—
1157	C₂²×C₃	—	2	1	no	—
1158	C₂²×C₃	—	2	1	no	—
1159	C₂²×C₃	—	2	1	no	—
1160	C₂²×C₃	—	2	1	no	—
1161	C₂²×C₃	—	2	1	no	—
1162	C₂²×C₃	—	2	1	no	—
1163	C₂²×C₃	—	2	1	no	—
1164	C₂²×C₃	—	2	1	no	—
1165	C₂²×C₃	—	2	1	no	—
1166	C₂²×C₃	—	2	2	no	—
1167	C₂²×C₃	—	2	2	no	—
1168	C₂²×C₃	—	2	2	no	—
1169	C₂²×C₃	—	2	2	no	—
1170	C₂²×C₃	—	2	2	no	—
1171	C₂²×C₃	—	2	2	no	—
1172	C₂²×C₃	—	2	2	no	—
1173	C₂²×C₃	—	2	2	no	—
1174	C₂²×C₃	—	2	2	no	—
1175	C₂²×C₃	—	2	1	no	—
1176	C₂²×C₃	—	3	4	no	—
1177	C₂²×C₃	—	4	1	no	—
1178	C₂²×C₃	—	4	1	no	—
1179	C₂²×C₃	—	4	1	no	—
1180	C₂²×C₃	—	4	1	no	—
1181	C₂²×C₃	—	4	1	no	—
1182	C₂²×C₃	—	4	1	no	—
1183	C₂²×C₃	—	4	2	no	—
1184	C₂²×C₃	—	4	2	no	—
1185	C₂²×C₃	—	4	2	no	—
1186	C₂²×C₃	—	4	8	no	—
1187	C₂²×C₃	—	6	2	no	—
1188	C₂²×C₃	—	6	2	no	—
1189	C₂²×C₃	—	6	2	no	—
1190	C₂²×C₃	—	6	2	no	—
1191	C₂²×C₃	—	6	2	no	—
1192	C₂²×C₃	—	6	2	no	—
1193	C₂²×C₃	—	6	2	no	—
1194	C₂²×C₃	—	6	2	no	—
1195	C₂²×C₃	—	12	4	no	—
1196	C₂²×C₃	—	12	8	no	—
1197	C₂²×C₃	—	12	8	no	—
1198	C₂²×C₃	—	12	4	no	—
1199	C₂²×C₃	—	24	4	no	—
1200	C₂²×C₃	#1004	1	2	yes	—
1201	C₂²×C₃	D₃×#41	1	2	yes	—
1202	C₂²×C₃	#1009	1	2	yes	—
1203	C₂²×C₃	C₂×C₃×#41	1	2	yes	—
1204	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	—
1205	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	—
1206	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1207	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1208	C₂×D₃	—	2	2	no	—
1209	C₂×D₃	—	2	2	no	—
1210	C₂×D₃	—	2	2	no	—
1211	C₂×D₃	—	2	2	no	—
1212	C₂×D₃	—	2	2	no	—
1213	C₂×D₃	—	2	2	no	—
1214	C₂×D₃	—	2	2	no	—
1215	C₂×D₃	—	2	2	no	—
1216	C₂×D₃	—	4	4	no	—
1217	C₂×D₃	—	4	8	no	—
1218	C₂×D₃	—	4	8	no	—
1219	C₂×D₃	—	4	4	no	—
1220	C₂×D₃	—	8	4	no	—
1221	C₂×D₃	C₂×C₃×#41	1	4	yes	—
1222	C₃×C₄	—	2	2	no	—
1223	C₃×C₄	—	2	2	no	—
1224	C₃×C₄	—	2	1	no	—
1225	C₃×C₄	—	2	1	no	—
1226	C₃×C₄	—	2	1	no	—
1227	C₃×C₄	—	2	1	no	—
1228	C₃×C₄	—	2	2	no	—
1229	C₃×C₄	—	2	2	no	—
1230	C₃×C₄	—	2	2	no	—
1231	C₃×C₄	—	2	2	no	—
1232	C₃×C₄	—	2	2	no	—
1233	C₃×C₄	—	2	1	no	—
1234	C₃×C₄	—	2	1	no	—
1235	C₃×C₄	—	2	2	no	—
1236	C₃×C₄	—	2	1	no	—
1237	C₃×C₄	—	2	1	no	—
1238	C₃×C₄	—	4	1	no	—
1239	C₃×C₄	—	4	1	no	—
1240	C₃×C₄	—	4	2	no	—
1241	C₃×C₄	—	4	2	no	—
1242	C₃×C₄	—	4	2	no	—
1243	C₃×C₄	—	6	2	no	—
1244	C₃×C₄	—	6	2	no	—
1245	C₃×C₄	—	6	2	no	—
1246	C₃×C₄	—	6	2	no	—
1247	C₃×C₄	—	6	2	no	—
1248	Dic₃	—	2	2	no	—
1249	Dic₃	—	2	2	no	—
1250	Dic₃	—	2	2	no	—
1251	Dic₃	—	2	2	no	—
1252	Dic₃	—	2	2	no	—
1253	C₃²	#3490	1	1	yes	characteristic, complemented, Sylow
1254	C₂³	—	2	2	no	—
1255	C₂³	—	2	2	no	—
1256	C₂³	—	2	2	no	—
1257	C₂³	—	3	2	no	—
1258	C₂³	—	3	4	no	—
1259	C₂³	—	3	2	no	—
1260	C₂³	—	3	2	no	—
1261	C₂³	—	6	4	no	—
1262	C₂³	—	6	4	no	—
1263	C₂³	—	6	4	no	—
1264	C₂³	—	6	4	no	—
1265	C₂³	—	6	2	no	—
1266	C₂³	—	6	4	no	—
1267	C₂³	—	12	1	no	—
1268	C₂³	—	12	2	no	—
1269	C₂³	—	12	1	no	—
1270	C₂³	—	12	1	no	—
1271	C₂³	—	12	2	no	—
1272	C₂³	—	12	1	no	—
1273	C₂³	—	12	2	no	—
1274	C₂³	—	12	2	no	—
1275	C₂³	—	12	16	no	—
1276	C₂³	C₂³×C₃×D₃	1	2	yes	—
1277	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1278	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1279	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1280	Q₈	—	4	1	no	—
1281	Q₈	—	12	1	no	—
1282	Q₈	—	12	2	no	—
1283	D₄	—	2	4	no	—
1284	D₄	—	2	4	no	—
1285	D₄	—	2	4	no	—
1286	D₄	—	4	1	no	—
1287	D₄	—	6	4	no	—
1288	D₄	—	6	4	no	—
1289	D₄	—	6	4	no	—
1290	D₄	—	6	4	no	—
1291	D₄	—	6	4	no	—
1292	D₄	—	12	2	no	—
1293	D₄	—	12	2	no	—
1294	D₄	—	12	1	no	—
1295	D₄	—	12	2	no	—
1296	D₄	—	12	2	no	—
1297	D₄	—	12	2	no	—
1298	C₂×C₄	—	2	2	no	—
1299	C₂×C₄	—	2	2	no	—
1300	C₂×C₄	—	3	2	no	—
1301	C₂×C₄	—	3	2	no	—
1302	C₂×C₄	—	3	2	no	—
1303	C₂×C₄	—	3	2	no	—
1304	C₂×C₄	—	3	2	no	—
1305	C₂×C₄	—	4	1	no	—
1306	C₂×C₄	—	4	1	no	—
1307	C₂×C₄	—	4	1	no	—
1308	C₂×C₄	—	4	1	no	—
1309	C₂×C₄	—	4	2	no	—
1310	C₂×C₄	—	6	4	no	—
1311	C₂×C₄	—	6	4	no	—
1312	C₂×C₄	—	12	2	no	—
1313	C₂×C₄	—	12	2	no	—
1314	C₂×C₄	—	12	2	no	—
1315	C₂×C₄	—	12	2	no	—
1316	C₂×C₄	—	12	1	no	—
1317	C₂×C₄	—	12	2	no	—
1318	C₂×C₄	—	12	1	no	—
1319	C₂×C₄	—	12	2	no	—
1320	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1321	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1322	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1323	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1324	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1325	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1326	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1327	C₂×C₃	—	2	2	no	—
1328	C₂×C₃	—	2	2	no	—
1329	C₂×C₃	—	2	2	no	—
1330	C₂×C₃	—	2	2	no	—
1331	C₂×C₃	—	2	2	no	—
1332	C₂×C₃	—	2	2	no	—
1333	C₂×C₃	—	2	1	no	—
1334	C₂×C₃	—	2	1	no	—
1335	C₂×C₃	—	2	1	no	—
1336	C₂×C₃	—	4	2	no	—
1337	C₂×C₃	—	4	2	no	—
1338	C₂×C₃	—	4	2	no	—
1339	C₂×C₃	—	4	2	no	—
1340	C₂×C₃	—	4	2	no	—
1341	C₂×C₃	—	6	4	no	—
1342	C₂×C₃	—	8	2	no	—
1343	C₂×C₃	—	12	2	no	—
1344	C₂×C₃	—	12	2	no	—
1345	C₂×C₃	C₂×#1004	1	1	yes	characteristic
1346	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1347	C₂×C₃	C₂×#1009	1	1	yes	characteristic
1348	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1349	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1350	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1351	D₃	—	2	4	no	—
1352	D₃	—	4	2	no	—
1353	D₃	—	4	2	no	—
1354	C₂²	—	2	8	no	—
1355	C₂²	—	2	1	no	—
1356	C₂²	—	2	1	no	—
1357	C₂²	—	2	1	no	—
1358	C₂²	—	2	1	no	—
1359	C₂²	—	2	1	no	—
1360	C₂²	—	2	1	no	—
1361	C₂²	—	2	2	no	—
1362	C₂²	—	2	2	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	3	4	no	—
1365	C₂²	—	6	2	no	—
1366	C₂²	—	6	2	no	—
1367	C₂²	—	6	2	no	—
1368	C₂²	—	6	2	no	—
1369	C₂²	—	6	2	no	—
1370	C₂²	—	6	2	no	—
1371	C₂²	—	6	2	no	—
1372	C₂²	—	6	2	no	—
1373	C₂²	—	12	4	no	—
1374	C₂²	—	12	8	no	—
1375	C₂²	—	12	8	no	—
1376	C₂²	—	12	4	no	—
1377	C₂²	—	24	4	no	—
1378	C₂²	C₃×#1004	1	2	yes	—
1379	C₂²	C₃×D₃×#41	1	2	yes	—
1380	C₂²	C₃×#1009	1	2	yes	—
1381	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1382	C₄	—	2	1	no	—
1383	C₄	—	2	1	no	—
1384	C₄	—	2	1	no	—
1385	C₄	—	2	1	no	—
1386	C₄	—	2	2	no	—
1387	C₄	—	2	2	no	—
1388	C₄	—	2	2	no	—
1389	C₄	—	6	2	no	—
1390	C₄	—	6	2	no	—
1391	C₄	—	6	2	no	—
1392	C₄	—	6	2	no	—
1393	C₄	—	6	2	no	—
1394	C₃	—	2	1	no	—
1395	C₃	#86043	1	1	yes	characteristic, direct product factor
1396	C₃	C₃×#3490	1	1	yes	characteristic, complemented
1397	C₂	—	2	2	no	—
1398	C₂	—	2	2	no	—
1399	C₂	—	2	2	no	—
1400	C₂	—	4	2	no	—
1401	C₂	—	6	4	no	—
1402	C₂	—	12	2	no	—
1403	C₂	—	12	2	no	—
1404	C₂	C₂×C₃×#1004	1	1	yes	characteristic
1405	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1406	C₂	C₂×C₃×#1009	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×#525	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#525	D₃
hypocenter	C₃	C₃×#3490
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#525

Complements

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

N	H ≅ G/N	type
1. C₃²×#525	C₂	semidirect
2. C₃×#5829	C₂	semidirect
3. C₃×#5791	C₂	semidirect
4. C₂²×C₃×(C₂×D₃)⋊C₄	C₂	semidirect
5. C₃×#5658	C₂	semidirect
6. C₃×#5654	C₂	semidirect
7. C₃×#5644	C₂	semidirect
8. C₃×#5637	C₂	semidirect
9. C₃×#5634	C₂	semidirect
10. C₃×#5617	C₂	semidirect
11. C₃×#5610	C₂	semidirect
12. C₃×#5605	C₂	semidirect
13. C₃×D₃×#120	C₂	semidirect
14. C₃×#5586	C₂	semidirect
15. C₃×#5560	C₂	semidirect
16. C₃×#5556	C₂	semidirect
17. C₃×#5554	C₂	semidirect
18. C₃×#5545	C₂	semidirect
19. C₃×#5527	C₂	semidirect
21. #86043	C₃	direct (N × H)
23. C₂×C₃²×#41	C₂²	semidirect
24. C₂³×C₃²×C₄	C₂²	semidirect
25. C₂³×C₃×Dic₃	C₂²	semidirect
26. C₂×C₃×#237	C₂²	semidirect
28. C₂×C₃×D₃×D₄	C₂²	semidirect
29. C₂×C₃×D₃×D₄	C₂²	semidirect
30. C₂×C₃×#235	C₂²	semidirect
31. C₃²×#123	C₂²	semidirect
32. C₃²×C₂²⋊Q₈	C₂²	semidirect
33. C₃²×C₂²⋊Q₈	C₂²	semidirect
34. C₃²×#121	C₂²	semidirect
35. C₃²×#121	C₂²	semidirect
36. C₃²×#120	C₂²	semidirect
37. C₃²×C₄×D₄	C₂²	semidirect
38. C₃²×C₄×D₄	C₂²	semidirect
39. C₃²×#117	C₂²	semidirect
40. C₃×#953	C₂²	semidirect
41. C₃×#947	C₂²	semidirect
42. C₃×#946	C₂²	semidirect
43. C₃×#939	C₂²	semidirect
44. C₃×#939	C₂²	semidirect
45. C₃×#939	C₂²	semidirect
48. C₃×#937	C₂²	semidirect
49. C₃×#937	C₂²	semidirect
50. C₃×#935	C₂²	semidirect
51. C₃×D₄×Dic₃	C₂²	semidirect
52. C₃×D₄×Dic₃	C₂²	semidirect
53. C₃×#930	C₂²	semidirect
54. C₃×#930	C₂²	semidirect
55. C₃×#930	C₂²	semidirect
56. C₃×#929	C₂²	semidirect
57. C₃×#929	C₂²	semidirect
58. C₃×C₄×#67	C₂²	semidirect
59. C₃×C₄×#67	C₂²	semidirect
60. C₃×C₄×#67	C₂²	semidirect
63. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
64. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
65. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
66. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
67. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
68. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
69. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
70. C₃×#926	C₂²	semidirect
71. C₃×#924	C₂²	semidirect
72. C₃×#924	C₂²	semidirect
73. C₃×#898	C₂²	semidirect
74. C₃×#898	C₂²	semidirect
75. C₃×#898	C₂²	semidirect
76. C₃×#897	C₂²	semidirect
77. C₃×#896	C₂²	semidirect
78. C₃×#896	C₂²	semidirect
79. C₃×#895	C₂²	semidirect
80. C₃×#894	C₂²	semidirect
81. C₃×#894	C₂²	semidirect
82. C₃×#894	C₂²	semidirect
83. C₃×#893	C₂²	semidirect
84. C₃×#892	C₂²	semidirect
85. C₃×#886	C₂²	semidirect
86. C₃×#886	C₂²	semidirect
87. C₃×#885	C₂²	semidirect
88. C₃×#885	C₂²	semidirect
89. C₃×#884	C₂²	semidirect
90. C₃×#883	C₂²	semidirect
93. C₃×#882	C₂²	semidirect
94. C₃×#882	C₂²	semidirect
95. C₃×#67⋊C₄	C₂²	semidirect
96. C₃×#67⋊C₄	C₂²	semidirect
97. C₃×#67⋊C₄	C₂²	semidirect
99. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
100. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
101. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
102. C₃×#878	C₂²	semidirect
103. C₃×#878	C₂²	semidirect
104. C₃×#877	C₂²	semidirect
105. C₃×#876	C₂²	semidirect
106. C₃×#875	C₂²	semidirect
107. C₃×C₄×D₁₂	C₂²	semidirect
108. C₃×#872	C₂²	semidirect
125. C₃×#525	D₃	semidirect
126. C₃×#525	C₂×C₃	semidirect
130. #5829	C₂×C₃	semidirect
131. #5791	C₂×C₃	semidirect
132. C₂²×(C₂×D₃)⋊C₄	C₂×C₃	semidirect
133. #5658	C₂×C₃	semidirect
134. #5654	C₂×C₃	semidirect
135. #5644	C₂×C₃	semidirect
136. #5637	C₂×C₃	semidirect
137. #5634	C₂×C₃	semidirect
138. #5617	C₂×C₃	semidirect
139. #5610	C₂×C₃	semidirect
140. #5605	C₂×C₃	semidirect
141. D₃×#120	C₂×C₃	semidirect
142. #5586	C₂×C₃	semidirect
143. #5560	C₂×C₃	semidirect
144. #5556	C₂×C₃	semidirect
145. #5554	C₂×C₃	semidirect
146. #5545	C₂×C₃	semidirect
147. #5527	C₂×C₃	semidirect
158. C₂×C₃²×Q₈	C₂³	semidirect
162. C₂×C₃²×D₄	C₂³	semidirect
170. C₂²×C₃²×C₄	C₂³	semidirect
177. C₂×C₃×#67	C₂³	semidirect
183. C₂²×C₃×Dic₃	C₂³	semidirect
192. C₂×C₃×D₁₂	C₂³	semidirect
196. C₂×C₃×C₄×D₃	C₂³	semidirect
197. C₂×C₃×C₄×D₃	C₂³	semidirect
198. C₂×C₃×Dic₆	C₂³	semidirect
199. C₂×C₃×Dic₆	C₂³	semidirect
200. C₃²×C₄⋊C₄	C₂³	semidirect
201. C₃²×C₄⋊C₄	C₂³	semidirect
202. C₃²×C₄⋊C₄	C₂³	semidirect
203. C₃²×C₄⋊C₄	C₂³	semidirect
207. C₃²×C₂²⋊C₄	C₂³	semidirect
208. C₃²×C₂²⋊C₄	C₂³	semidirect
209. C₃²×C₄²	C₂³	semidirect
213. C₃×#217	C₂³	semidirect
214. C₃×#217	C₂³	semidirect
229. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
230. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
231. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
232. C₃×(C₂×D₃)⋊C₄	C₂³	semidirect
233. C₃×C₄⋊Dic₃	C₂³	semidirect
234. C₃×C₄⋊Dic₃	C₂³	semidirect
235. C₃×C₄⋊Dic₃	C₂³	semidirect
236. C₃×C₄⋊Dic₃	C₂³	semidirect
237. C₃×Dic₃⋊C₄	C₂³	semidirect
238. C₃×Dic₃⋊C₄	C₂³	semidirect
239. C₃×Dic₃⋊C₄	C₂³	semidirect
240. C₃×Dic₃⋊C₄	C₂³	semidirect
241. C₃×Dic₃⋊C₄	C₂³	semidirect
242. C₃×Dic₃⋊C₄	C₂³	semidirect
243. C₃×C₄×Dic₃	C₂³	semidirect
244. C₃×C₄×Dic₃	C₂³	semidirect
245. C₃×C₄×Dic₃	C₂³	semidirect
252. C₂×C₃×#41	C₂×D₃	semidirect
253. C₂×C₃×#41	C₂²×C₃	semidirect
259. C₂³×C₃×C₄	C₂×D₃	semidirect
260. C₂³×C₃×C₄	C₂²×C₃	semidirect
261. C₂³×Dic₃	C₂²×C₃	semidirect
262. C₂×#237	C₂²×C₃	semidirect
264. C₂×D₃×D₄	C₂²×C₃	semidirect
265. C₂×D₃×D₄	C₂²×C₃	semidirect
266. C₂×#235	C₂²×C₃	semidirect
285. C₃×#123	C₂×D₃	semidirect
286. C₃×#123	C₂²×C₃	semidirect
297. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
298. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
299. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
300. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
311. C₃×#121	C₂×D₃	semidirect
312. C₃×#121	C₂×D₃	semidirect
313. C₃×#121	C₂²×C₃	semidirect
314. C₃×#121	C₂²×C₃	semidirect
325. C₃×#120	C₂×D₃	semidirect
326. C₃×#120	C₂²×C₃	semidirect
339. C₃×C₄×D₄	C₂×D₃	semidirect
340. C₃×C₄×D₄	C₂×D₃	semidirect
341. C₃×C₄×D₄	C₂²×C₃	semidirect
342. C₃×C₄×D₄	C₂²×C₃	semidirect
348. C₃×#117	C₂×D₃	semidirect
349. C₃×#117	C₂²×C₃	semidirect
363. #953	C₂²×C₃	semidirect
364. #947	C₂²×C₃	semidirect
365. #946	C₂²×C₃	semidirect
366. #939	C₂²×C₃	semidirect
367. #939	C₂²×C₃	semidirect
368. #939	C₂²×C₃	semidirect
371. #937	C₂²×C₃	semidirect
372. #937	C₂²×C₃	semidirect
373. #935	C₂²×C₃	semidirect
374. D₄×Dic₃	C₂²×C₃	semidirect
375. D₄×Dic₃	C₂²×C₃	semidirect
376. #930	C₂²×C₃	semidirect
377. #930	C₂²×C₃	semidirect
378. #930	C₂²×C₃	semidirect
379. #929	C₂²×C₃	semidirect
380. #929	C₂²×C₃	semidirect
381. C₄×#67	C₂²×C₃	semidirect
382. C₄×#67	C₂²×C₃	semidirect
383. C₄×#67	C₂²×C₃	semidirect
386. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
387. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
388. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
389. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
390. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
391. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
392. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
393. #926	C₂²×C₃	semidirect
394. #924	C₂²×C₃	semidirect
395. #924	C₂²×C₃	semidirect
396. #898	C₂²×C₃	semidirect
397. #898	C₂²×C₃	semidirect
398. #898	C₂²×C₃	semidirect
399. #897	C₂²×C₃	semidirect
400. #896	C₂²×C₃	semidirect
401. #896	C₂²×C₃	semidirect
402. #895	C₂²×C₃	semidirect
403. #894	C₂²×C₃	semidirect
404. #894	C₂²×C₃	semidirect
405. #894	C₂²×C₃	semidirect
406. #893	C₂²×C₃	semidirect
407. #892	C₂²×C₃	semidirect
408. #886	C₂²×C₃	semidirect
409. #886	C₂²×C₃	semidirect
410. #885	C₂²×C₃	semidirect
411. #885	C₂²×C₃	semidirect
412. #884	C₂²×C₃	semidirect
413. #883	C₂²×C₃	semidirect
416. #882	C₂²×C₃	semidirect
417. #882	C₂²×C₃	semidirect
418. #67⋊C₄	C₂²×C₃	semidirect
419. #67⋊C₄	C₂²×C₃	semidirect
420. #67⋊C₄	C₂²×C₃	semidirect
422. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
423. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
424. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
425. #878	C₂²×C₃	semidirect
426. #878	C₂²×C₃	semidirect
427. #877	C₂²×C₃	semidirect
428. #876	C₂²×C₃	semidirect
429. #875	C₂²×C₃	semidirect
430. C₄×D₁₂	C₂²×C₃	semidirect
431. #872	C₂²×C₃	semidirect
454. C₂²×C₃×D₃	#41	semidirect
520. #525	C₃×D₃	semidirect
551. C₂×C₃×Q₈	C₂²×D₃	semidirect
552. C₂×C₃×Q₈	C₂³×C₃	semidirect
574. C₂×C₃×D₄	C₂²×D₃	semidirect
578. C₂×C₃×D₄	C₂³×C₃	semidirect
606. C₂²×C₃×C₄	C₂²×D₃	semidirect
613. C₂²×C₃×C₄	C₂³×C₃	semidirect
620. C₂×#67	C₂³×C₃	semidirect
626. C₂²×Dic₃	C₂³×C₃	semidirect
635. C₂×D₁₂	C₂³×C₃	semidirect
639. C₂×C₄×D₃	C₂³×C₃	semidirect
640. C₂×C₄×D₃	C₂³×C₃	semidirect
641. C₂×Dic₆	C₂³×C₃	semidirect
642. C₂×Dic₆	C₂³×C₃	semidirect
657. C₃×C₄⋊C₄	C₂²×D₃	semidirect
658. C₃×C₄⋊C₄	C₂²×D₃	semidirect
659. C₃×C₄⋊C₄	C₂²×D₃	semidirect
660. C₃×C₄⋊C₄	C₂²×D₃	semidirect
661. C₃×C₄⋊C₄	C₂³×C₃	semidirect
662. C₃×C₄⋊C₄	C₂³×C₃	semidirect
663. C₃×C₄⋊C₄	C₂³×C₃	semidirect
664. C₃×C₄⋊C₄	C₂³×C₃	semidirect
696. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
697. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
701. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
702. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
707. C₃×C₄²	C₂²×D₃	semidirect
708. C₃×C₄²	C₂³×C₃	semidirect
712. #217	C₂³×C₃	semidirect
713. #217	C₂³×C₃	semidirect
728. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
729. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
730. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
731. (C₂×D₃)⋊C₄	C₂³×C₃	semidirect
732. C₄⋊Dic₃	C₂³×C₃	semidirect
733. C₄⋊Dic₃	C₂³×C₃	semidirect
734. C₄⋊Dic₃	C₂³×C₃	semidirect
735. C₄⋊Dic₃	C₂³×C₃	semidirect
736. Dic₃⋊C₄	C₂³×C₃	semidirect
737. Dic₃⋊C₄	C₂³×C₃	semidirect
738. Dic₃⋊C₄	C₂³×C₃	semidirect
739. Dic₃⋊C₄	C₂³×C₃	semidirect
740. Dic₃⋊C₄	C₂³×C₃	semidirect
741. Dic₃⋊C₄	C₂³×C₃	semidirect
742. C₄×Dic₃	C₂³×C₃	semidirect
743. C₄×Dic₃	C₂³×C₃	semidirect
744. C₄×Dic₃	C₂³×C₃	semidirect
788. C₂×#41	C₂×C₃×D₃	semidirect
793. C₂³×C₄	C₂×C₃×D₃	semidirect
811. #123	C₂×C₃×D₃	semidirect
820. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
821. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
830. #121	C₂×C₃×D₃	semidirect
831. #121	C₂×C₃×D₃	semidirect
841. #120	C₂×C₃×D₃	semidirect
852. C₄×D₄	C₂×C₃×D₃	semidirect
853. C₄×D₄	C₂×C₃×D₃	semidirect
858. #117	C₂×C₃×D₃	semidirect
927. C₂²×D₃	C₃×#41	semidirect
1068. C₂×Q₈	C₂²×C₃×D₃	semidirect
1086. C₂×D₄	C₂²×C₃×D₃	semidirect
1105. C₂²×C₄	C₂²×C₃×D₃	semidirect
1116. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1117. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1118. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1119. C₄⋊C₄	C₂²×C₃×D₃	semidirect
1146. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1147. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
1151. C₄²	C₂²×C₃×D₃	semidirect
1253. C₃²	#3490	semidirect
1395. C₃	#86043	direct (N × H)
1396. C₃	C₃×#3490	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#525	2
C₃×#5829	2
C₃×#5791	2
C₂²×C₃×(C₂×D₃)⋊C₄	2
C₃×#5658	2
C₃×#5654	2
C₃×#5644	2
C₃×#5637	2
C₃×#5634	2
C₃×#5617	2
C₃×#5610	2
C₃×#5605	2
C₃×D₃×#120	2
C₃×#5586	2
C₃×#5560	2
C₃×#5556	2
C₃×#5554	2
C₃×#5545	2
C₃×#5527	2
C₃×#3490	3
#86043	3

Subgroups — C3×#86043 #11904834

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86043 #11904834