Subgroups — C₃×D₄×#237 #11902739

Order 1152.

3510 conjugacy classes of subgroups.

The subgroup lattice has 1094 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₃×#237	C₂	1	2	yes	maximal, complemented
2	C₃²×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5806	C₂	1	2	yes	maximal, complemented
4	C₃×D₄×#67	C₂	1	2	yes	maximal, complemented
5	C₂×C₃×D₄×Dic₃	C₂	1	2	yes	maximal, complemented
6	C₃×#5718	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5716	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5611	C₂	1	2	yes	maximal, complemented
9	C₃×#5606	C₂	1	2	yes	maximal, complemented
10	C₃×#5598	C₂	1	2	yes	maximal, complemented
11	C₃×#5596	C₂	1	2	yes	maximal, complemented
12	C₃×#5591	C₂	1	4	yes	maximal, complemented
13	C₃×#5586	C₂	1	4	yes	maximal, complemented
14	C₃×#5555	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×C₄×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×D₄×Dic₆	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×C₄×#237	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×D₄×#41	—	3	1	no	maximal
19	D₄×#237	C₃	1	1	yes	maximal, characteristic, direct product factor
20	C₂²×C₃²×D₄	C₂²	1	2	yes	—
21	C₂²×C₃²×D₄	C₂²	1	2	yes	complemented
22	C₂²×C₃×#67	C₂²	1	4	yes	complemented
23	C₂³×C₃×Dic₃	C₂²	1	4	yes	complemented
24	C₂×C₃×#237	—	2	16	no	—
25	C₂×C₃×#237	C₂²	1	1	yes	characteristic
26	C₂×C₃×#237	C₂²	1	2	yes	complemented
27	C₂×C₃×#237	C₂²	1	4	yes	complemented
28	C₂×C₃×#237	C₂²	1	4	yes	complemented
29	C₂×C₃×#237	C₂²	1	2	yes	complemented
30	C₂×C₃×#237	C₂²	1	2	yes	complemented
31	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic
32	C₂²×C₃×C₄×D₃	C₂²	1	2	yes	complemented
33	C₂²×C₃×Dic₆	C₂²	1	2	yes	complemented
34	C₃²×#127	C₂²	1	1	yes	characteristic, complemented
35	C₃²×#121	C₂²	1	2	yes	complemented
36	C₃²×#121	C₂²	1	2	yes	complemented
37	C₃²×#120	C₂²	1	4	yes	complemented
38	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
39	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
40	C₃×#953	C₂²	1	4	yes	complemented
41	C₂×C₃×#217	C₂²	1	4	yes	complemented
42	C₃×#940	C₂²	1	2	yes	complemented
43	C₃×#939	C₂²	1	4	yes	complemented
44	C₃×#939	C₂²	1	4	yes	complemented
45	C₃×#939	C₂²	1	4	yes	complemented
46	C₃×#938	C₂²	1	2	yes	complemented
47	C₃×#938	C₂²	1	2	yes	complemented
48	C₃×#938	C₂²	1	2	yes	complemented
49	C₃×#937	C₂²	1	4	yes	complemented
50	C₃×#936	C₂²	1	2	yes	complemented
51	C₃×#935	C₂²	1	4	yes	complemented
52	C₃×D₄×Dic₃	C₂²	1	2	yes	—
53	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
54	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
55	C₃×D₄×Dic₃	C₂²	1	4	yes	complemented
56	C₃×D₄×Dic₃	C₂²	1	4	yes	complemented
57	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
58	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
59	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
60	C₃×#930	C₂²	1	2	yes	complemented
61	C₃×C₄×#67	C₂²	1	2	yes	complemented
62	C₃×C₄×#67	C₂²	1	2	yes	complemented
63	C₂×C₃×C₄⋊Dic₃	C₂²	1	2	yes	complemented
64	C₃×#924	C₂²	1	2	yes	complemented
65	C₂×C₃×C₄×Dic₃	C₂²	1	2	yes	complemented
66	C₃×#897	C₂²	1	2	yes	complemented
67	C₃×#893	C₂²	1	1	yes	characteristic, complemented
68	C₃×#892	C₂²	1	1	yes	characteristic, complemented
69	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
70	C₃×#888	C₂²	1	2	yes	complemented
71	C₃×#887	C₂²	1	1	yes	characteristic, complemented
72	C₃×#886	C₂²	1	4	yes	complemented
73	C₃×#885	C₂²	1	4	yes	complemented
74	C₃×#883	C₂²	1	4	yes	complemented
75	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
76	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
77	C₃×#67⋊C₄	C₂²	1	4	yes	complemented
78	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
79	C₃×#878	C₂²	1	4	yes	complemented
80	C₃×#878	C₂²	1	4	yes	complemented
81	C₃×#877	C₂²	1	2	yes	complemented
82	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
83	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic, complemented
84	C₃×#869	C₂²	1	1	yes	characteristic, complemented
85	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
86	C₂²×C₃×#41	—	3	2	no	—
87	C₂²×#237	C₂×C₃	1	2	yes	complemented
88	C₃×#550	—	3	1	no	—
89	C₃×D₄×Q₈	—	3	1	no	—
90	C₃×#548	—	3	2	no	—
91	C₃×#547	—	3	2	no	—
92	C₃×#547	—	3	1	no	—
93	C₃×#546	—	3	2	no	—
94	C₃×#546	—	3	4	no	—
95	C₃×D₄²	—	2	1	no	—
96	C₃×D₄²	—	3	2	no	—
97	C₃×D₄²	D₃	1	1	yes	characteristic, complemented
98	C₃×D₄²	C₂×C₃	1	1	yes	characteristic, complemented
99	C₃×#532	—	3	1	no	—
100	C₃×#532	—	3	2	no	—
101	C₃×#525	—	3	2	no	—
102	C₃×#525	—	3	4	no	—
103	C₃×C₄×#41	—	3	1	no	—
104	C₂×C₃×C₄×D₄	—	3	2	no	—
105	C₂×C₃×C₄×D₄	—	3	1	no	—
106	#5806	C₂×C₃	1	2	yes	complemented
107	D₄×#67	C₂×C₃	1	2	yes	complemented
108	C₂×D₄×Dic₃	C₂×C₃	1	2	yes	complemented
109	#5718	C₂×C₃	1	1	yes	characteristic, complemented
110	#5716	C₂×C₃	1	1	yes	characteristic, complemented
111	#5611	C₂×C₃	1	2	yes	complemented
112	#5606	C₂×C₃	1	2	yes	complemented
113	#5598	C₂×C₃	1	2	yes	complemented
114	#5596	C₂×C₃	1	2	yes	complemented
115	#5591	C₂×C₃	1	4	yes	complemented
116	#5586	C₂×C₃	1	4	yes	complemented
117	#5555	C₂×C₃	1	1	yes	characteristic, complemented
118	C₄×D₃×D₄	C₂×C₃	1	1	yes	characteristic, complemented
119	D₄×Dic₆	C₂×C₃	1	1	yes	characteristic, complemented
120	C₄×#237	C₂×C₃	1	1	yes	characteristic, complemented
121	C₂⁴×C₃²	C₂³	1	4	yes	—
122	C₂³×C₃×D₃	C₂³	1	2	yes	—
123	C₂×C₃²×D₄	—	2	8	no	—
124	C₂×C₃²×D₄	—	2	8	no	—
125	C₂×C₃²×D₄	C₂³	1	4	yes	—
126	C₂×C₃²×D₄	C₂³	1	2	yes	—
127	C₂×C₃²×D₄	C₂³	1	4	yes	—
128	C₂×C₃²×D₄	C₂³	1	2	yes	—
129	C₂×C₃²×D₄	C₂³	1	2	yes	—
130	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
131	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
132	C₂²×C₃²×C₄	C₂³	1	2	yes	—
133	C₂²×C₃²×C₄	C₂³	1	2	yes	—
134	C₂×C₃×#67	—	2	16	no	—
135	C₂×C₃×#67	C₂³	1	2	yes	—
136	C₂×C₃×#67	C₂³	1	4	yes	—
137	C₂×C₃×#67	C₂³	1	4	yes	—
138	C₂×C₃×#67	C₂³	1	4	yes	—
139	C₂×C₃×#67	C₂³	1	4	yes	—
140	C₂×C₃×#67	C₂³	1	2	yes	—
141	C₂²×C₃×Dic₃	—	2	16	no	—
142	C₂²×C₃×Dic₃	C₂³	1	4	yes	—
143	C₂²×C₃×Dic₃	C₂³	1	4	yes	—
144	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
145	C₂²×C₃×Dic₃	C₂³	1	4	yes	—
146	C₂²×C₃×Dic₃	C₂³	1	4	yes	—
147	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
148	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
149	C₃×#237	—	2	8	no	—
150	C₃×#237	—	2	16	no	—
151	C₃×#237	—	2	16	no	—
152	C₃×#237	—	2	8	no	—
153	C₃×#237	—	2	8	no	—
154	C₃×#237	D₄	1	8	yes	direct product factor
155	C₃×D₃×D₄	—	2	4	no	—
156	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
157	C₂×C₃×C₄×D₃	—	2	8	no	—
158	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
159	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
160	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
161	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
162	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
163	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
164	C₂×C₃×Dic₆	—	2	8	no	—
165	C₂×C₃×Dic₆	C₂³	1	4	yes	—
166	C₂×C₃×Dic₆	C₂³	1	2	yes	—
167	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
168	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
169	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
170	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
171	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₃²×C₂²⋊C₄	C₂³	1	4	yes	—
173	C₃²×C₄²	C₂³	1	1	yes	characteristic
174	C₃×#217	C₂³	1	2	yes	—
175	C₃×#217	C₂³	1	4	yes	—
176	C₃×#217	C₂³	1	4	yes	—
177	C₃×#217	C₂³	1	2	yes	—
178	C₃×#217	C₂³	1	4	yes	—
179	C₃×#217	C₂³	1	4	yes	—
180	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
181	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
182	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
183	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
184	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
185	C₃×C₄⋊Dic₃	C₂³	1	4	yes	—
186	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
187	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
188	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
189	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
190	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
191	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
192	C₃×Dic₃⋊C₄	C₂³	1	4	yes	—
193	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
194	C₃×C₄×Dic₃	C₂³	1	2	yes	—
195	C₃×C₄×Dic₃	C₂³	1	2	yes	—
196	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
197	C₃×C₄×Dic₃	C₂³	1	2	yes	—
198	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
199	D₄×#41	—	3	1	no	Sylow
200	C₂×C₃×#41	—	3	1	no	—
201	C₂×C₃×#41	—	3	4	no	—
202	C₂×C₃×#41	—	3	2	no	—
203	C₂×C₃×#41	—	3	2	no	—
204	C₂×C₃×#41	—	3	4	no	—
205	C₂×C₃×#41	—	3	2	no	—
206	C₂×C₃×#41	—	6	16	no	—
207	C₂²×C₃×Q₈	—	3	2	no	—
208	C₂²×C₃×D₄	—	2	2	no	—
209	C₂²×C₃×D₄	—	2	2	no	—
210	C₂²×C₃×D₄	—	3	4	no	—
211	C₂²×C₃×D₄	—	3	1	no	—
212	C₂²×C₃×D₄	C₂×D₃	1	2	yes	—
213	C₂²×C₃×D₄	C₂×D₃	1	2	yes	complemented
214	C₂²×C₃×D₄	C₂²×C₃	1	2	yes	—
215	C₂²×C₃×D₄	C₂²×C₃	1	2	yes	complemented
216	C₂³×C₃×C₄	—	3	4	no	—
217	C₂³×C₃×C₄	—	3	2	no	—
218	C₂²×#67	C₂²×C₃	1	4	yes	complemented
219	C₂³×Dic₃	C₂²×C₃	1	4	yes	complemented
220	C₂×#237	—	2	16	no	—
221	C₂×#237	C₂²×C₃	1	1	yes	characteristic
222	C₂×#237	C₂²×C₃	1	2	yes	complemented
223	C₂×#237	C₂²×C₃	1	2	yes	complemented
224	C₂×#237	C₂²×C₃	1	2	yes	complemented
225	C₂×#237	C₂²×C₃	1	4	yes	complemented
226	C₂×#237	C₂²×C₃	1	4	yes	complemented
227	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic
228	C₂²×C₄×D₃	C₂²×C₃	1	2	yes	complemented
229	C₂²×Dic₆	C₂²×C₃	1	2	yes	complemented
230	C₃×C₄⋊Q₈	—	3	2	no	—
231	C₃×C₄⋊Q₈	—	3	1	no	—
232	C₃×#127	—	2	1	no	—
233	C₃×#127	—	3	2	no	—
234	C₃×#127	C₂×D₃	1	1	yes	characteristic, complemented
235	C₃×#127	C₂²×C₃	1	1	yes	characteristic, complemented
236	C₃×#124	—	3	2	no	—
237	C₃×#124	—	3	4	no	—
238	C₃×#123	—	3	4	no	—
239	C₃×#123	—	3	4	no	—
240	C₃×#123	—	3	4	no	—
241	C₃×C₂²⋊Q₈	—	3	2	no	—
242	C₃×C₂²⋊Q₈	—	3	2	no	—
243	C₃×C₂²⋊Q₈	—	3	4	no	—
244	C₃×C₂²⋊Q₈	—	3	4	no	—
245	C₃×#121	—	2	2	no	—
246	C₃×#121	—	2	2	no	—
247	C₃×#121	—	3	2	no	—
248	C₃×#121	—	3	2	no	—
249	C₃×#121	—	3	2	no	—
250	C₃×#121	—	3	4	no	—
251	C₃×#121	—	3	4	no	—
252	C₃×#121	—	3	4	no	—
253	C₃×#121	—	3	2	no	—
254	C₃×#121	C₂×D₃	1	2	yes	complemented
255	C₃×#121	C₂×D₃	1	2	yes	complemented
256	C₃×#121	C₂²×C₃	1	2	yes	complemented
257	C₃×#121	C₂²×C₃	1	2	yes	complemented
258	C₃×#120	—	2	4	no	—
259	C₃×#120	—	3	4	no	—
260	C₃×#120	—	3	4	no	—
261	C₃×#120	C₂×D₃	1	4	yes	complemented
262	C₃×#120	C₂²×C₃	1	4	yes	complemented
263	C₃×C₄×Q₈	—	3	1	no	—
264	C₃×C₄×Q₈	—	3	1	no	—
265	C₃×C₄×D₄	—	2	1	no	—
266	C₃×C₄×D₄	—	2	1	no	—
267	C₃×C₄×D₄	—	3	1	no	—
268	C₃×C₄×D₄	—	3	2	no	—
269	C₃×C₄×D₄	—	3	4	no	—
270	C₃×C₄×D₄	—	3	2	no	—
271	C₃×C₄×D₄	—	3	4	no	—
272	C₃×C₄×D₄	—	3	2	no	—
273	C₃×C₄×D₄	—	3	1	no	—
274	C₃×C₄×D₄	—	3	2	no	—
275	C₃×C₄×D₄	—	3	2	no	—
276	C₃×C₄×D₄	—	3	2	no	—
277	C₃×C₄×D₄	—	3	1	no	—
278	C₃×C₄×D₄	—	3	2	no	—
279	C₃×C₄×D₄	—	3	2	no	—
280	C₃×C₄×D₄	—	3	4	no	—
281	C₃×C₄×D₄	—	3	1	no	—
282	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
283	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
284	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
285	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
286	C₃×#117	—	3	1	no	—
287	C₃×#117	—	3	2	no	—
288	C₂×C₃×C₄⋊C₄	—	3	2	no	—
289	C₂×C₃×C₄⋊C₄	—	3	1	no	—
290	C₂×C₃×C₂²⋊C₄	—	3	4	no	—
291	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
292	C₂×C₃×C₄²	—	3	2	no	—
293	C₂×C₃×C₄²	—	3	1	no	—
294	#953	C₂²×C₃	1	4	yes	complemented
295	C₂×#217	C₂²×C₃	1	4	yes	complemented
296	#940	C₂²×C₃	1	2	yes	complemented
297	#939	C₂²×C₃	1	4	yes	complemented
298	#939	C₂²×C₃	1	4	yes	complemented
299	#939	C₂²×C₃	1	4	yes	complemented
300	#938	C₂²×C₃	1	2	yes	complemented
301	#938	C₂²×C₃	1	2	yes	complemented
302	#938	C₂²×C₃	1	2	yes	complemented
303	#937	C₂²×C₃	1	4	yes	complemented
304	#936	C₂²×C₃	1	2	yes	complemented
305	#935	C₂²×C₃	1	4	yes	complemented
306	D₄×Dic₃	C₂²×C₃	1	2	yes	—
307	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
308	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
309	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
310	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
311	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
312	D₄×Dic₃	C₂²×C₃	1	4	yes	complemented
313	D₄×Dic₃	C₂²×C₃	1	4	yes	complemented
314	#930	C₂²×C₃	1	2	yes	complemented
315	C₄×#67	C₂²×C₃	1	2	yes	complemented
316	C₄×#67	C₂²×C₃	1	2	yes	complemented
317	C₂×C₄⋊Dic₃	C₂²×C₃	1	2	yes	complemented
318	#924	C₂²×C₃	1	2	yes	complemented
319	C₂×C₄×Dic₃	C₂²×C₃	1	2	yes	complemented
320	#897	C₂²×C₃	1	2	yes	complemented
321	#893	C₂²×C₃	1	1	yes	characteristic, complemented
322	#892	C₂²×C₃	1	1	yes	characteristic, complemented
323	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
324	#888	C₂²×C₃	1	2	yes	complemented
325	#887	C₂²×C₃	1	1	yes	characteristic, complemented
326	#886	C₂²×C₃	1	4	yes	complemented
327	#885	C₂²×C₃	1	4	yes	complemented
328	#883	C₂²×C₃	1	4	yes	complemented
329	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
330	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
331	#67⋊C₄	C₂²×C₃	1	4	yes	complemented
332	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
333	#878	C₂²×C₃	1	4	yes	complemented
334	#878	C₂²×C₃	1	4	yes	complemented
335	#877	C₂²×C₃	1	2	yes	complemented
336	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
337	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
338	#869	C₂²×C₃	1	1	yes	characteristic, complemented
339	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
340	C₂³×C₃²	—	2	8	no	—
341	C₂³×C₃²	—	2	8	no	—
342	C₂³×C₃²	—	4	4	no	—
343	C₂³×C₃²	C₂⁴	1	4	yes	—
344	C₂³×C₃²	C₂⁴	1	2	yes	—
345	C₂³×C₃²	C₂⁴	1	2	yes	—
346	C₂²×C₃×D₃	—	2	4	no	—
347	C₂²×C₃×D₃	—	2	4	no	—
348	C₂²×C₃×D₃	—	4	2	no	—
349	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
350	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
351	C₃²×D₄	—	2	8	no	—
352	C₃²×D₄	—	2	8	no	—
353	C₃²×D₄	—	2	4	no	—
354	C₃²×D₄	—	2	4	no	—
355	C₃²×D₄	—	4	2	no	—
356	C₃²×D₄	C₂×D₄	1	4	yes	complemented
357	C₃²×D₄	#41	1	4	yes	complemented
358	C₂×C₃²×C₄	—	2	4	no	—
359	C₂×C₃²×C₄	—	2	4	no	—
360	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
361	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
362	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
363	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
364	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
365	C₃×#67	—	2	8	no	—
366	C₃×#67	—	2	4	no	—
367	C₃×#67	—	2	8	no	—
368	C₃×#67	—	2	8	no	—
369	C₃×#67	—	4	4	no	—
370	C₃×#67	C₂×D₄	1	8	yes	complemented
371	C₂×C₃×Dic₃	—	2	8	no	—
372	C₂×C₃×Dic₃	—	2	8	no	—
373	C₂×C₃×Dic₃	—	2	4	no	—
374	C₂×C₃×Dic₃	—	2	8	no	—
375	C₂×C₃×Dic₃	—	2	8	no	—
376	C₂×C₃×Dic₃	—	4	2	no	—
377	C₂×C₃×Dic₃	C₂×D₄	1	8	yes	complemented
378	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
379	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
380	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
381	C₂×C₃×Dic₃	C₂⁴	1	4	yes	—
382	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
383	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
384	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
385	C₃×D₁₂	—	2	2	no	—
386	C₃×C₄×D₃	—	2	4	no	—
387	C₃×C₄×D₃	—	2	4	no	—
388	C₃×C₄×D₃	—	2	2	no	—
389	C₃×C₄×D₃	—	2	4	no	—
390	C₃×C₄×D₃	—	4	1	no	—
391	C₃×C₄×D₃	C₂×D₄	1	4	yes	complemented
392	C₃×Dic₆	—	2	4	no	—
393	C₃×Dic₆	—	2	8	no	—
394	C₃×Dic₆	C₂×D₄	1	4	yes	complemented
395	C₂²×#41	—	3	2	no	—
396	#550	—	3	1	no	—
397	D₄×Q₈	—	3	1	no	—
398	#548	—	3	2	no	—
399	#547	—	3	2	no	—
400	#547	—	3	1	no	—
401	#546	—	3	2	no	—
402	#546	—	3	4	no	—
403	D₄²	—	3	2	no	—
404	D₄²	C₃×D₃	1	1	yes	characteristic, complemented
405	#532	—	3	1	no	—
406	#532	—	3	2	no	—
407	#525	—	3	2	no	—
408	#525	—	3	4	no	—
409	C₄×#41	—	3	1	no	—
410	C₂×C₄×D₄	—	3	2	no	—
411	C₂×C₄×D₄	—	3	1	no	—
412	C₂⁴×C₃	—	2	4	no	—
413	C₂⁴×C₃	—	3	2	no	—
414	C₂⁴×C₃	C₂²×D₃	1	4	yes	—
415	C₂⁴×C₃	C₂³×C₃	1	4	yes	—
416	C₂³×D₃	C₂³×C₃	1	2	yes	—
417	C₃×#41	—	3	8	no	—
418	C₃×#41	—	6	16	no	—
419	C₃×#41	—	6	8	no	—
420	C₃×#41	—	6	16	no	—
421	C₃×#41	—	6	8	no	—
422	C₃×#41	—	6	8	no	—
423	C₂×C₃×Q₈	—	3	1	no	—
424	C₂×C₃×Q₈	—	3	4	no	—
425	C₂×C₃×Q₈	—	3	2	no	—
426	C₂×C₃×Q₈	—	6	8	no	—
427	C₂×C₃×D₄	—	2	8	no	—
428	C₂×C₃×D₄	—	2	8	no	—
429	C₂×C₃×D₄	—	2	8	no	—
430	C₂×C₃×D₄	—	2	8	no	—
431	C₂×C₃×D₄	—	2	1	no	—
432	C₂×C₃×D₄	—	2	1	no	—
433	C₂×C₃×D₄	—	2	4	no	—
434	C₂×C₃×D₄	—	2	4	no	—
435	C₂×C₃×D₄	—	2	2	no	—
436	C₂×C₃×D₄	—	2	2	no	—
437	C₂×C₃×D₄	—	2	2	no	—
438	C₂×C₃×D₄	—	3	2	no	—
439	C₂×C₃×D₄	—	3	2	no	—
440	C₂×C₃×D₄	—	3	4	no	—
441	C₂×C₃×D₄	—	3	4	no	—
442	C₂×C₃×D₄	—	3	4	no	—
443	C₂×C₃×D₄	—	3	4	no	—
444	C₂×C₃×D₄	—	3	1	no	—
445	C₂×C₃×D₄	—	4	8	no	—
446	C₂×C₃×D₄	—	4	8	no	—
447	C₂×C₃×D₄	—	6	16	no	—
448	C₂×C₃×D₄	—	6	4	no	—
449	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
450	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
451	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
452	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
453	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
454	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
455	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
456	C₂×C₃×D₄	C₂³×C₃	1	4	yes	—
457	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
458	C₂×C₃×D₄	C₂³×C₃	1	4	yes	—
459	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
460	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
461	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
462	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
463	C₂²×C₃×C₄	—	2	2	no	—
464	C₂²×C₃×C₄	—	2	2	no	—
465	C₂²×C₃×C₄	—	3	2	no	—
466	C₂²×C₃×C₄	—	3	1	no	—
467	C₂²×C₃×C₄	—	3	4	no	—
468	C₂²×C₃×C₄	—	3	2	no	—
469	C₂²×C₃×C₄	—	3	4	no	—
470	C₂²×C₃×C₄	—	3	4	no	—
471	C₂²×C₃×C₄	—	3	4	no	—
472	C₂²×C₃×C₄	—	3	2	no	—
473	C₂²×C₃×C₄	—	3	1	no	—
474	C₂²×C₃×C₄	—	3	2	no	—
475	C₂²×C₃×C₄	—	3	2	no	—
476	C₂²×C₃×C₄	—	3	2	no	—
477	C₂²×C₃×C₄	—	3	1	no	—
478	C₂²×C₃×C₄	—	6	8	no	—
479	C₂²×C₃×C₄	—	6	16	no	—
480	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
481	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
482	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
483	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
484	C₂×#67	—	2	16	no	—
485	C₂×#67	C₂³×C₃	1	2	yes	—
486	C₂×#67	C₂³×C₃	1	4	yes	—
487	C₂×#67	C₂³×C₃	1	4	yes	—
488	C₂×#67	C₂³×C₃	1	4	yes	—
489	C₂×#67	C₂³×C₃	1	4	yes	—
490	C₂×#67	C₂³×C₃	1	2	yes	—
491	C₂²×Dic₃	—	2	16	no	—
492	C₂²×Dic₃	C₂³×C₃	1	4	yes	—
493	C₂²×Dic₃	C₂³×C₃	1	4	yes	—
494	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
495	C₂²×Dic₃	C₂³×C₃	1	4	yes	—
496	C₂²×Dic₃	C₂³×C₃	1	4	yes	—
497	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
498	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
499	#237	—	2	8	no	—
500	#237	—	2	16	no	—
501	#237	—	2	16	no	—
502	#237	—	2	8	no	—
503	#237	—	2	8	no	—
504	#237	C₃×D₄	1	8	yes	direct product factor
505	D₃×D₄	—	2	4	no	—
506	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
507	C₂×C₄×D₃	—	2	8	no	—
508	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
509	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
510	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
511	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
512	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
513	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
514	C₂×Dic₆	—	2	8	no	—
515	C₂×Dic₆	C₂³×C₃	1	2	yes	—
516	C₂×Dic₆	C₂³×C₃	1	4	yes	—
517	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
518	C₃×C₄⋊C₄	—	2	1	no	—
519	C₃×C₄⋊C₄	—	2	1	no	—
520	C₃×C₄⋊C₄	—	3	2	no	—
521	C₃×C₄⋊C₄	—	3	2	no	—
522	C₃×C₄⋊C₄	—	3	2	no	—
523	C₃×C₄⋊C₄	—	3	4	no	—
524	C₃×C₄⋊C₄	—	3	1	no	—
525	C₃×C₄⋊C₄	—	3	2	no	—
526	C₃×C₄⋊C₄	—	3	4	no	—
527	C₃×C₄⋊C₄	—	3	1	no	—
528	C₃×C₄⋊C₄	—	3	2	no	—
529	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
530	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
531	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
532	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
533	C₃×C₂²⋊C₄	—	2	2	no	—
534	C₃×C₂²⋊C₄	—	2	2	no	—
535	C₃×C₂²⋊C₄	—	2	4	no	—
536	C₃×C₂²⋊C₄	—	3	2	no	—
537	C₃×C₂²⋊C₄	—	3	4	no	—
538	C₃×C₂²⋊C₄	—	3	4	no	—
539	C₃×C₂²⋊C₄	—	3	4	no	—
540	C₃×C₂²⋊C₄	—	3	2	no	—
541	C₃×C₂²⋊C₄	—	3	4	no	—
542	C₃×C₂²⋊C₄	—	3	2	no	—
543	C₃×C₂²⋊C₄	—	3	2	no	—
544	C₃×C₂²⋊C₄	—	3	2	no	—
545	C₃×C₂²⋊C₄	—	3	4	no	—
546	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
547	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
548	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
549	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
550	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
551	C₃×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
552	C₃×C₄²	—	2	1	no	—
553	C₃×C₄²	—	3	1	no	—
554	C₃×C₄²	—	3	2	no	—
555	C₃×C₄²	—	3	1	no	—
556	C₃×C₄²	—	3	2	no	—
557	C₃×C₄²	—	3	1	no	—
558	C₃×C₄²	—	3	2	no	—
559	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
560	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
561	#217	C₂³×C₃	1	2	yes	—
562	#217	C₂³×C₃	1	4	yes	—
563	#217	C₂³×C₃	1	4	yes	—
564	#217	C₂³×C₃	1	2	yes	—
565	#217	C₂³×C₃	1	4	yes	—
566	#217	C₂³×C₃	1	4	yes	—
567	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
568	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
569	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
570	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
571	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
572	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
573	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
574	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
575	C₄⋊Dic₃	C₂³×C₃	1	4	yes	—
576	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
577	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
578	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
579	Dic₃⋊C₄	C₂³×C₃	1	4	yes	—
580	C₄×Dic₃	C₂³×C₃	1	2	yes	—
581	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
582	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
583	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
584	C₄×Dic₃	C₂³×C₃	1	2	yes	—
585	C₄×Dic₃	C₂³×C₃	1	2	yes	—
586	C₂²×C₃²	—	2	2	no	—
587	C₂²×C₃²	—	2	2	no	—
588	C₂²×C₃²	—	2	2	no	—
589	C₂²×C₃²	—	2	2	no	—
590	C₂²×C₃²	—	2	4	no	—
591	C₂²×C₃²	—	2	4	no	—
592	C₂²×C₃²	—	2	4	no	—
593	C₂²×C₃²	—	4	16	no	—
594	C₂²×C₃²	C₂²×D₄	1	4	yes	—
595	C₂²×C₃²	C₂×#41	1	4	yes	complemented
596	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
597	C₂×C₃×D₃	—	2	1	no	—
598	C₂×C₃×D₃	—	2	1	no	—
599	C₂×C₃×D₃	—	2	2	no	—
600	C₂×C₃×D₃	—	2	2	no	—
601	C₂×C₃×D₃	—	2	2	no	—
602	C₂×C₃×D₃	—	4	8	no	—
603	C₂×C₃×D₃	C₂²×D₄	1	2	yes	—
604	C₃²×C₄	—	2	2	no	—
605	C₃²×C₄	—	2	2	no	—
606	C₃²×C₄	—	2	1	no	—
607	C₃²×C₄	C₂²×D₄	1	2	yes	—
608	C₃²×C₄	C₂×#41	1	2	yes	complemented
609	C₃×Dic₃	—	2	4	no	—
610	C₃×Dic₃	—	2	2	no	—
611	C₃×Dic₃	—	2	1	no	—
612	C₃×Dic₃	—	2	1	no	—
613	C₃×Dic₃	—	2	2	no	—
614	C₃×Dic₃	C₂²×D₄	1	4	yes	—
615	C₃×Dic₃	C₂²×D₄	1	2	yes	—
616	C₂×#41	—	3	1	no	—
617	C₂×#41	—	3	4	no	—
618	C₂×#41	—	3	2	no	—
619	C₂×#41	—	3	2	no	—
620	C₂×#41	—	3	4	no	—
621	C₂×#41	—	3	2	no	—
622	C₂×#41	—	6	16	no	—
623	C₂²×Q₈	—	3	2	no	—
624	C₂²×D₄	—	3	4	no	—
625	C₂²×D₄	—	3	1	no	—
626	C₂²×D₄	C₂×C₃×D₃	1	2	yes	—
627	C₂²×D₄	C₂×C₃×D₃	1	2	yes	complemented
628	C₂³×C₄	—	3	4	no	—
629	C₂³×C₄	—	3	2	no	—
630	C₄⋊Q₈	—	3	2	no	—
631	C₄⋊Q₈	—	3	1	no	—
632	#127	—	3	2	no	—
633	#127	C₂×C₃×D₃	1	1	yes	characteristic, complemented
634	#124	—	3	2	no	—
635	#124	—	3	4	no	—
636	#123	—	3	4	no	—
637	#123	—	3	4	no	—
638	#123	—	3	4	no	—
639	C₂²⋊Q₈	—	3	2	no	—
640	C₂²⋊Q₈	—	3	2	no	—
641	C₂²⋊Q₈	—	3	4	no	—
642	C₂²⋊Q₈	—	3	4	no	—
643	#121	—	3	4	no	—
644	#121	—	3	2	no	—
645	#121	—	3	4	no	—
646	#121	—	3	2	no	—
647	#121	—	3	2	no	—
648	#121	—	3	4	no	—
649	#121	—	3	2	no	—
650	#121	C₂×C₃×D₃	1	2	yes	complemented
651	#121	C₂×C₃×D₃	1	2	yes	complemented
652	#120	—	3	4	no	—
653	#120	—	3	4	no	—
654	#120	C₂×C₃×D₃	1	4	yes	complemented
655	C₄×Q₈	—	3	1	no	—
656	C₄×Q₈	—	3	1	no	—
657	C₄×D₄	—	3	1	no	—
658	C₄×D₄	—	3	4	no	—
659	C₄×D₄	—	3	2	no	—
660	C₄×D₄	—	3	2	no	—
661	C₄×D₄	—	3	4	no	—
662	C₄×D₄	—	3	2	no	—
663	C₄×D₄	—	3	1	no	—
664	C₄×D₄	—	3	2	no	—
665	C₄×D₄	—	3	2	no	—
666	C₄×D₄	—	3	2	no	—
667	C₄×D₄	—	3	1	no	—
668	C₄×D₄	—	3	2	no	—
669	C₄×D₄	—	3	2	no	—
670	C₄×D₄	—	3	4	no	—
671	C₄×D₄	—	3	1	no	—
672	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
673	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
674	#117	—	3	1	no	—
675	#117	—	3	2	no	—
676	C₂×C₄⋊C₄	—	3	2	no	—
677	C₂×C₄⋊C₄	—	3	1	no	—
678	C₂×C₂²⋊C₄	—	3	4	no	—
679	C₂×C₂²⋊C₄	—	3	2	no	—
680	C₂×C₄²	—	3	2	no	—
681	C₂×C₄²	—	3	1	no	—
682	C₂³×C₃	—	2	8	no	—
683	C₂³×C₃	—	2	8	no	—
684	C₂³×C₃	—	2	8	no	—
685	C₂³×C₃	—	2	8	no	—
686	C₂³×C₃	—	2	2	no	—
687	C₂³×C₃	—	2	2	no	—
688	C₂³×C₃	—	2	4	no	—
689	C₂³×C₃	—	3	1	no	—
690	C₂³×C₃	—	3	2	no	—
691	C₂³×C₃	—	4	8	no	—
692	C₂³×C₃	—	4	8	no	—
693	C₂³×C₃	—	4	4	no	—
694	C₂³×C₃	—	4	4	no	—
695	C₂³×C₃	—	6	4	no	—
696	C₂³×C₃	—	6	4	no	—
697	C₂³×C₃	—	8	4	no	—
698	C₂³×C₃	—	12	2	no	—
699	C₂³×C₃	C₂³×D₃	1	4	yes	—
700	C₂³×C₃	C₂³×D₃	1	2	yes	—
701	C₂³×C₃	C₂³×D₃	1	2	yes	—
702	C₂³×C₃	C₂⁴×C₃	1	4	yes	—
703	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
704	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
705	C₂²×D₃	—	2	4	no	—
706	C₂²×D₃	—	2	4	no	—
707	C₂²×D₃	—	4	2	no	—
708	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
709	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
710	C₃×Q₈	—	3	4	no	—
711	C₃×Q₈	—	6	8	no	—
712	C₃×Q₈	—	6	4	no	—
713	C₃×D₄	—	2	8	no	—
714	C₃×D₄	—	2	8	no	—
715	C₃×D₄	—	2	8	no	—
716	C₃×D₄	—	2	8	no	—
717	C₃×D₄	—	2	4	no	—
718	C₃×D₄	—	2	4	no	—
719	C₃×D₄	—	2	4	no	—
720	C₃×D₄	—	2	4	no	—
721	C₃×D₄	—	2	4	no	—
722	C₃×D₄	—	2	4	no	—
723	C₃×D₄	—	3	8	no	—
724	C₃×D₄	—	4	4	no	—
725	C₃×D₄	—	4	4	no	—
726	C₃×D₄	—	4	8	no	—
727	C₃×D₄	—	4	8	no	—
728	C₃×D₄	—	4	2	no	—
729	C₃×D₄	—	4	2	no	—
730	C₃×D₄	—	6	8	no	—
731	C₃×D₄	—	6	8	no	—
732	C₃×D₄	—	6	8	no	—
733	C₃×D₄	—	6	4	no	—
734	C₃×D₄	—	6	2	no	—
735	C₃×D₄	—	8	2	no	—
736	C₃×D₄	—	12	4	no	—
737	C₃×D₄	D₃×D₄	1	4	yes	complemented
738	C₃×D₄	#237	1	4	yes	direct product factor
739	C₃×D₄	C₂×C₃×D₄	1	4	yes	complemented
740	C₃×D₄	C₃×#41	1	4	yes	complemented
741	C₂×C₃×C₄	—	2	4	no	—
742	C₂×C₃×C₄	—	2	4	no	—
743	C₂×C₃×C₄	—	2	4	no	—
744	C₂×C₃×C₄	—	2	4	no	—
745	C₂×C₃×C₄	—	2	1	no	—
746	C₂×C₃×C₄	—	2	1	no	—
747	C₂×C₃×C₄	—	2	1	no	—
748	C₂×C₃×C₄	—	2	2	no	—
749	C₂×C₃×C₄	—	2	2	no	—
750	C₂×C₃×C₄	—	3	8	no	—
751	C₂×C₃×C₄	—	3	1	no	—
752	C₂×C₃×C₄	—	3	2	no	—
753	C₂×C₃×C₄	—	3	4	no	—
754	C₂×C₃×C₄	—	3	1	no	—
755	C₂×C₃×C₄	—	3	1	no	—
756	C₂×C₃×C₄	—	3	2	no	—
757	C₂×C₃×C₄	—	3	2	no	—
758	C₂×C₃×C₄	—	3	4	no	—
759	C₂×C₃×C₄	—	4	4	no	—
760	C₂×C₃×C₄	—	4	4	no	—
761	C₂×C₃×C₄	—	6	4	no	—
762	C₂×C₃×C₄	—	6	4	no	—
763	C₂×C₃×C₄	—	6	4	no	—
764	C₂×C₃×C₄	—	6	8	no	—
765	C₂×C₃×C₄	—	6	8	no	—
766	C₂×C₃×C₄	—	6	8	no	—
767	C₂×C₃×C₄	—	6	8	no	—
768	C₂×C₃×C₄	—	6	4	no	—
769	C₂×C₃×C₄	—	6	2	no	—
770	C₂×C₃×C₄	—	12	1	no	—
771	C₂×C₃×C₄	—	12	2	no	—
772	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
773	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
774	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
775	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
776	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
777	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
778	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
779	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
780	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
781	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
782	#67	—	2	8	no	—
783	#67	—	2	4	no	—
784	#67	—	2	8	no	—
785	#67	—	2	8	no	—
786	#67	—	4	4	no	—
787	#67	C₂×C₃×D₄	1	8	yes	complemented
788	C₂×Dic₃	—	2	8	no	—
789	C₂×Dic₃	—	2	8	no	—
790	C₂×Dic₃	—	2	4	no	—
791	C₂×Dic₃	—	2	8	no	—
792	C₂×Dic₃	—	2	8	no	—
793	C₂×Dic₃	—	4	2	no	—
794	C₂×Dic₃	C₂×C₃×D₄	1	8	yes	complemented
795	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
796	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
797	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
798	C₂×Dic₃	C₂⁴×C₃	1	4	yes	—
799	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
800	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
801	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
802	D₁₂	—	2	2	no	—
803	C₄×D₃	—	2	4	no	—
804	C₄×D₃	—	2	4	no	—
805	C₄×D₃	—	2	2	no	—
806	C₄×D₃	—	2	4	no	—
807	C₄×D₃	—	4	1	no	—
808	C₄×D₃	C₂×C₃×D₄	1	4	yes	complemented
809	Dic₆	—	2	4	no	—
810	Dic₆	—	2	8	no	—
811	Dic₆	C₂×C₃×D₄	1	4	yes	complemented
812	C₂×C₃²	—	2	4	no	—
813	C₂×C₃²	—	2	4	no	—
814	C₂×C₃²	—	4	4	no	—
815	C₂×C₃²	C₂³×D₄	1	1	yes	characteristic
816	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
817	C₂×C₃²	#585	1	1	yes	characteristic
818	C₃×D₃	—	2	2	no	—
819	C₃×D₃	—	4	2	no	—
820	C₂⁴	—	3	2	no	—
821	C₂⁴	C₂²×C₃×D₃	1	4	yes	—
822	#41	—	3	8	no	—
823	#41	—	6	16	no	—
824	#41	—	6	8	no	—
825	#41	—	6	16	no	—
826	#41	—	6	8	no	—
827	#41	—	6	8	no	—
828	C₂×Q₈	—	3	1	no	—
829	C₂×Q₈	—	3	4	no	—
830	C₂×Q₈	—	3	2	no	—
831	C₂×Q₈	—	6	8	no	—
832	C₂×D₄	—	2	8	no	—
833	C₂×D₄	—	2	8	no	—
834	C₂×D₄	—	3	2	no	—
835	C₂×D₄	—	3	2	no	—
836	C₂×D₄	—	3	4	no	—
837	C₂×D₄	—	3	4	no	—
838	C₂×D₄	—	3	4	no	—
839	C₂×D₄	—	3	4	no	—
840	C₂×D₄	—	3	1	no	—
841	C₂×D₄	—	6	16	no	—
842	C₂×D₄	—	6	4	no	—
843	C₂×D₄	C₂²×C₃×D₃	1	4	yes	—
844	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
845	C₂×D₄	C₂²×C₃×D₃	1	4	yes	—
846	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
847	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
848	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
849	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
850	C₂²×C₄	—	3	2	no	—
851	C₂²×C₄	—	3	1	no	—
852	C₂²×C₄	—	3	4	no	—
853	C₂²×C₄	—	3	2	no	—
854	C₂²×C₄	—	3	4	no	—
855	C₂²×C₄	—	3	4	no	—
856	C₂²×C₄	—	3	4	no	—
857	C₂²×C₄	—	3	2	no	—
858	C₂²×C₄	—	3	1	no	—
859	C₂²×C₄	—	3	2	no	—
860	C₂²×C₄	—	3	2	no	—
861	C₂²×C₄	—	3	2	no	—
862	C₂²×C₄	—	3	1	no	—
863	C₂²×C₄	—	6	8	no	—
864	C₂²×C₄	—	6	16	no	—
865	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
866	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
867	C₄⋊C₄	—	3	1	no	—
868	C₄⋊C₄	—	3	2	no	—
869	C₄⋊C₄	—	3	2	no	—
870	C₄⋊C₄	—	3	4	no	—
871	C₄⋊C₄	—	3	2	no	—
872	C₄⋊C₄	—	3	2	no	—
873	C₄⋊C₄	—	3	1	no	—
874	C₄⋊C₄	—	3	4	no	—
875	C₄⋊C₄	—	3	2	no	—
876	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
877	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
878	C₂²⋊C₄	—	3	2	no	—
879	C₂²⋊C₄	—	3	4	no	—
880	C₂²⋊C₄	—	3	4	no	—
881	C₂²⋊C₄	—	3	4	no	—
882	C₂²⋊C₄	—	3	2	no	—
883	C₂²⋊C₄	—	3	4	no	—
884	C₂²⋊C₄	—	3	2	no	—
885	C₂²⋊C₄	—	3	2	no	—
886	C₂²⋊C₄	—	3	2	no	—
887	C₂²⋊C₄	—	3	4	no	—
888	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
889	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
890	C₂²⋊C₄	C₂²×C₃×D₃	1	4	yes	—
891	C₄²	—	3	1	no	—
892	C₄²	—	3	2	no	—
893	C₄²	—	3	1	no	—
894	C₄²	—	3	2	no	—
895	C₄²	—	3	1	no	—
896	C₄²	—	3	2	no	—
897	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
898	C₂²×C₃	—	2	2	no	—
899	C₂²×C₃	—	2	2	no	—
900	C₂²×C₃	—	2	2	no	—
901	C₂²×C₃	—	2	2	no	—
902	C₂²×C₃	—	2	2	no	—
903	C₂²×C₃	—	2	2	no	—
904	C₂²×C₃	—	2	2	no	—
905	C₂²×C₃	—	2	2	no	—
906	C₂²×C₃	—	2	4	no	—
907	C₂²×C₃	—	2	4	no	—
908	C₂²×C₃	—	2	4	no	—
909	C₂²×C₃	—	2	4	no	—
910	C₂²×C₃	—	2	4	no	—
911	C₂²×C₃	—	2	4	no	—
912	C₂²×C₃	—	2	4	no	—
913	C₂²×C₃	—	2	4	no	—
914	C₂²×C₃	—	2	1	no	—
915	C₂²×C₃	—	3	2	no	—
916	C₂²×C₃	—	4	2	no	—
917	C₂²×C₃	—	4	2	no	—
918	C₂²×C₃	—	4	2	no	—
919	C₂²×C₃	—	4	2	no	—
920	C₂²×C₃	—	4	4	no	—
921	C₂²×C₃	—	4	4	no	—
922	C₂²×C₃	—	4	4	no	—
923	C₂²×C₃	—	4	16	no	—
924	C₂²×C₃	—	4	16	no	—
925	C₂²×C₃	—	6	1	no	—
926	C₂²×C₃	—	6	1	no	—
927	C₂²×C₃	—	6	2	no	—
928	C₂²×C₃	—	6	2	no	—
929	C₂²×C₃	—	6	2	no	—
930	C₂²×C₃	—	8	16	no	—
931	C₂²×C₃	—	12	8	no	—
932	C₂²×C₃	C₂×D₃×D₄	1	4	yes	—
933	C₂²×C₃	C₂×#237	1	4	yes	complemented
934	C₂²×C₃	C₂²×C₃×D₄	1	4	yes	—
935	C₂²×C₃	C₂×C₃×#41	1	4	yes	complemented
936	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
937	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
938	C₂×D₃	—	2	1	no	—
939	C₂×D₃	—	2	1	no	—
940	C₂×D₃	—	2	2	no	—
941	C₂×D₃	—	2	2	no	—
942	C₂×D₃	—	2	2	no	—
943	C₂×D₃	—	4	8	no	—
944	C₂×D₃	C₂²×C₃×D₄	1	2	yes	—
945	C₃×C₄	—	2	2	no	—
946	C₃×C₄	—	2	2	no	—
947	C₃×C₄	—	2	1	no	—
948	C₃×C₄	—	2	2	no	—
949	C₃×C₄	—	2	2	no	—
950	C₃×C₄	—	2	1	no	—
951	C₃×C₄	—	2	2	no	—
952	C₃×C₄	—	2	2	no	—
953	C₃×C₄	—	3	2	no	—
954	C₃×C₄	—	3	4	no	—
955	C₃×C₄	—	4	2	no	—
956	C₃×C₄	—	4	2	no	—
957	C₃×C₄	—	4	1	no	—
958	C₃×C₄	—	6	2	no	—
959	C₃×C₄	—	6	4	no	—
960	C₃×C₄	—	6	1	no	—
961	C₃×C₄	—	6	1	no	—
962	C₃×C₄	—	6	2	no	—
963	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
964	C₃×C₄	C₂×#237	1	2	yes	complemented
965	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
966	C₃×C₄	C₂×C₃×#41	1	2	yes	complemented
967	Dic₃	—	2	4	no	—
968	Dic₃	—	2	2	no	—
969	Dic₃	—	2	1	no	—
970	Dic₃	—	2	1	no	—
971	Dic₃	—	2	2	no	—
972	Dic₃	C₂²×C₃×D₄	1	4	yes	—
973	Dic₃	C₂²×C₃×D₄	1	2	yes	—
974	C₃²	D₄×#41	1	1	yes	characteristic, complemented, Sylow
975	C₂³	—	2	8	no	—
976	C₂³	—	2	8	no	—
977	C₂³	—	3	1	no	—
978	C₂³	—	3	2	no	—
979	C₂³	—	4	4	no	—
980	C₂³	—	6	4	no	—
981	C₂³	—	6	4	no	—
982	C₂³	—	12	2	no	—
983	C₂³	C₂³×C₃×D₃	1	4	yes	—
984	C₂³	C₂³×C₃×D₃	1	2	yes	—
985	C₂³	C₂³×C₃×D₃	1	2	yes	—
986	Q₈	—	3	4	no	—
987	Q₈	—	6	8	no	—
988	Q₈	—	6	4	no	—
989	D₄	—	2	8	no	—
990	D₄	—	2	8	no	—
991	D₄	—	2	4	no	—
992	D₄	—	2	4	no	—
993	D₄	—	3	8	no	—
994	D₄	—	4	2	no	—
995	D₄	—	6	8	no	—
996	D₄	—	6	8	no	—
997	D₄	—	6	8	no	—
998	D₄	—	6	4	no	—
999	D₄	—	6	2	no	—
1000	D₄	—	12	4	no	—
1001	D₄	C₃×D₃×D₄	1	4	yes	complemented
1002	D₄	C₃×#237	1	4	yes	direct product factor
1003	C₂×C₄	—	2	4	no	—
1004	C₂×C₄	—	2	4	no	—
1005	C₂×C₄	—	3	8	no	—
1006	C₂×C₄	—	3	1	no	—
1007	C₂×C₄	—	3	2	no	—
1008	C₂×C₄	—	3	4	no	—
1009	C₂×C₄	—	3	1	no	—
1010	C₂×C₄	—	3	1	no	—
1011	C₂×C₄	—	3	2	no	—
1012	C₂×C₄	—	3	2	no	—
1013	C₂×C₄	—	3	4	no	—
1014	C₂×C₄	—	6	4	no	—
1015	C₂×C₄	—	6	4	no	—
1016	C₂×C₄	—	6	4	no	—
1017	C₂×C₄	—	6	8	no	—
1018	C₂×C₄	—	6	8	no	—
1019	C₂×C₄	—	6	8	no	—
1020	C₂×C₄	—	6	8	no	—
1021	C₂×C₄	—	6	4	no	—
1022	C₂×C₄	—	6	2	no	—
1023	C₂×C₄	—	12	1	no	—
1024	C₂×C₄	—	12	2	no	—
1025	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1026	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1027	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1028	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1029	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1030	C₂×C₃	—	2	4	no	—
1031	C₂×C₃	—	2	4	no	—
1032	C₂×C₃	—	2	4	no	—
1033	C₂×C₃	—	2	4	no	—
1034	C₂×C₃	—	2	1	no	—
1035	C₂×C₃	—	2	1	no	—
1036	C₂×C₃	—	2	1	no	—
1037	C₂×C₃	—	4	4	no	—
1038	C₂×C₃	—	4	4	no	—
1039	C₂×C₃	—	4	4	no	—
1040	C₂×C₃	—	4	4	no	—
1041	C₂×C₃	—	6	2	no	—
1042	C₂×C₃	—	8	4	no	—
1043	C₂×C₃	—	12	2	no	—
1044	C₂×C₃	C₂²×D₃×D₄	1	1	yes	characteristic
1045	C₂×C₃	C₂²×#237	1	1	yes	characteristic
1046	C₂×C₃	#5966	1	1	yes	characteristic
1047	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
1048	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1049	C₂×C₃	C₃×#585	1	1	yes	characteristic
1050	D₃	—	2	2	no	—
1051	D₃	—	4	2	no	—
1052	C₂²	—	2	2	no	—
1053	C₂²	—	2	2	no	—
1054	C₂²	—	2	2	no	—
1055	C₂²	—	2	2	no	—
1056	C₂²	—	2	4	no	—
1057	C₂²	—	2	4	no	—
1058	C₂²	—	2	4	no	—
1059	C₂²	—	3	2	no	—
1060	C₂²	—	4	16	no	—
1061	C₂²	—	6	1	no	—
1062	C₂²	—	6	1	no	—
1063	C₂²	—	6	2	no	—
1064	C₂²	—	6	2	no	—
1065	C₂²	—	6	2	no	—
1066	C₂²	—	12	8	no	—
1067	C₂²	C₂×C₃×D₃×D₄	1	4	yes	—
1068	C₂²	C₂×C₃×#237	1	4	yes	complemented
1069	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1070	C₄	—	2	2	no	—
1071	C₄	—	2	2	no	—
1072	C₄	—	2	1	no	—
1073	C₄	—	3	2	no	—
1074	C₄	—	3	4	no	—
1075	C₄	—	6	2	no	—
1076	C₄	—	6	4	no	—
1077	C₄	—	6	1	no	—
1078	C₄	—	6	1	no	—
1079	C₄	—	6	2	no	—
1080	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1081	C₄	C₂×C₃×#237	1	2	yes	complemented
1082	C₃	—	2	1	no	—
1083	C₃	D₄×#237	1	1	yes	characteristic, direct product factor
1084	C₃	C₃×D₄×#41	1	1	yes	characteristic, complemented
1085	C₂	—	2	4	no	—
1086	C₂	—	2	4	no	—
1087	C₂	—	4	4	no	—
1088	C₂	—	6	2	no	—
1089	C₂	—	12	2	no	—
1090	C₂	C₂²×C₃×D₃×D₄	1	1	yes	characteristic
1091	C₂	C₂²×C₃×#237	1	1	yes	characteristic
1092	C₂	C₃×#5966	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₃²×D₄²	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×D₄²	D₃
hypocenter	C₃	C₃×D₄×#41
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×D₄²

Complements

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

N	H ≅ G/N	type
1. C₂²×C₃×#237	C₂	semidirect
2. C₃²×D₄²	C₂	semidirect
3. C₃×#5806	C₂	semidirect
4. C₃×D₄×#67	C₂	semidirect
5. C₂×C₃×D₄×Dic₃	C₂	semidirect
6. C₃×#5718	C₂	semidirect
7. C₃×#5716	C₂	semidirect
8. C₃×#5611	C₂	semidirect
9. C₃×#5606	C₂	semidirect
10. C₃×#5598	C₂	semidirect
11. C₃×#5596	C₂	semidirect
12. C₃×#5591	C₂	semidirect
13. C₃×#5586	C₂	semidirect
14. C₃×#5555	C₂	semidirect
15. C₃×C₄×D₃×D₄	C₂	semidirect
16. C₃×D₄×Dic₆	C₂	semidirect
17. C₃×C₄×#237	C₂	semidirect
19. D₄×#237	C₃	direct (N × H)
21. C₂²×C₃²×D₄	C₂²	semidirect
22. C₂²×C₃×#67	C₂²	semidirect
23. C₂³×C₃×Dic₃	C₂²	semidirect
26. C₂×C₃×#237	C₂²	semidirect
27. C₂×C₃×#237	C₂²	semidirect
28. C₂×C₃×#237	C₂²	semidirect
29. C₂×C₃×#237	C₂²	semidirect
30. C₂×C₃×#237	C₂²	semidirect
32. C₂²×C₃×C₄×D₃	C₂²	semidirect
33. C₂²×C₃×Dic₆	C₂²	semidirect
34. C₃²×#127	C₂²	semidirect
35. C₃²×#121	C₂²	semidirect
36. C₃²×#121	C₂²	semidirect
37. C₃²×#120	C₂²	semidirect
39. C₃²×C₄×D₄	C₂²	semidirect
40. C₃×#953	C₂²	semidirect
41. C₂×C₃×#217	C₂²	semidirect
42. C₃×#940	C₂²	semidirect
43. C₃×#939	C₂²	semidirect
44. C₃×#939	C₂²	semidirect
45. C₃×#939	C₂²	semidirect
46. C₃×#938	C₂²	semidirect
47. C₃×#938	C₂²	semidirect
48. C₃×#938	C₂²	semidirect
49. C₃×#937	C₂²	semidirect
50. C₃×#936	C₂²	semidirect
51. C₃×#935	C₂²	semidirect
54. C₃×D₄×Dic₃	C₂²	semidirect
55. C₃×D₄×Dic₃	C₂²	semidirect
56. C₃×D₄×Dic₃	C₂²	semidirect
57. C₃×D₄×Dic₃	C₂²	semidirect
58. C₃×D₄×Dic₃	C₂²	semidirect
59. C₃×D₄×Dic₃	C₂²	semidirect
60. C₃×#930	C₂²	semidirect
61. C₃×C₄×#67	C₂²	semidirect
62. C₃×C₄×#67	C₂²	semidirect
63. C₂×C₃×C₄⋊Dic₃	C₂²	semidirect
64. C₃×#924	C₂²	semidirect
65. C₂×C₃×C₄×Dic₃	C₂²	semidirect
66. C₃×#897	C₂²	semidirect
67. C₃×#893	C₂²	semidirect
68. C₃×#892	C₂²	semidirect
69. C₃×D₃×C₄⋊C₄	C₂²	semidirect
70. C₃×#888	C₂²	semidirect
71. C₃×#887	C₂²	semidirect
72. C₃×#886	C₂²	semidirect
73. C₃×#885	C₂²	semidirect
74. C₃×#883	C₂²	semidirect
75. C₃×#67⋊C₄	C₂²	semidirect
76. C₃×#67⋊C₄	C₂²	semidirect
77. C₃×#67⋊C₄	C₂²	semidirect
78. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
79. C₃×#878	C₂²	semidirect
80. C₃×#878	C₂²	semidirect
81. C₃×#877	C₂²	semidirect
82. C₃×C₄×D₁₂	C₂²	semidirect
83. C₃×C₄²×D₃	C₂²	semidirect
84. C₃×#869	C₂²	semidirect
85. C₃×C₄×Dic₆	C₂²	semidirect
87. C₂²×#237	C₂×C₃	semidirect
97. C₃×D₄²	D₃	semidirect
98. C₃×D₄²	C₂×C₃	semidirect
106. #5806	C₂×C₃	semidirect
107. D₄×#67	C₂×C₃	semidirect
108. C₂×D₄×Dic₃	C₂×C₃	semidirect
109. #5718	C₂×C₃	semidirect
110. #5716	C₂×C₃	semidirect
111. #5611	C₂×C₃	semidirect
112. #5606	C₂×C₃	semidirect
113. #5598	C₂×C₃	semidirect
114. #5596	C₂×C₃	semidirect
115. #5591	C₂×C₃	semidirect
116. #5586	C₂×C₃	semidirect
117. #5555	C₂×C₃	semidirect
118. C₄×D₃×D₄	C₂×C₃	semidirect
119. D₄×Dic₆	C₂×C₃	semidirect
120. C₄×#237	C₂×C₃	semidirect
154. C₃×#237	D₄	direct (N × H)
213. C₂²×C₃×D₄	C₂×D₃	semidirect
215. C₂²×C₃×D₄	C₂²×C₃	semidirect
218. C₂²×#67	C₂²×C₃	semidirect
219. C₂³×Dic₃	C₂²×C₃	semidirect
222. C₂×#237	C₂²×C₃	semidirect
223. C₂×#237	C₂²×C₃	semidirect
224. C₂×#237	C₂²×C₃	semidirect
225. C₂×#237	C₂²×C₃	semidirect
226. C₂×#237	C₂²×C₃	semidirect
228. C₂²×C₄×D₃	C₂²×C₃	semidirect
229. C₂²×Dic₆	C₂²×C₃	semidirect
234. C₃×#127	C₂×D₃	semidirect
235. C₃×#127	C₂²×C₃	semidirect
254. C₃×#121	C₂×D₃	semidirect
255. C₃×#121	C₂×D₃	semidirect
256. C₃×#121	C₂²×C₃	semidirect
257. C₃×#121	C₂²×C₃	semidirect
261. C₃×#120	C₂×D₃	semidirect
262. C₃×#120	C₂²×C₃	semidirect
283. C₃×C₄×D₄	C₂×D₃	semidirect
285. C₃×C₄×D₄	C₂²×C₃	semidirect
294. #953	C₂²×C₃	semidirect
295. C₂×#217	C₂²×C₃	semidirect
296. #940	C₂²×C₃	semidirect
297. #939	C₂²×C₃	semidirect
298. #939	C₂²×C₃	semidirect
299. #939	C₂²×C₃	semidirect
300. #938	C₂²×C₃	semidirect
301. #938	C₂²×C₃	semidirect
302. #938	C₂²×C₃	semidirect
303. #937	C₂²×C₃	semidirect
304. #936	C₂²×C₃	semidirect
305. #935	C₂²×C₃	semidirect
308. D₄×Dic₃	C₂²×C₃	semidirect
309. D₄×Dic₃	C₂²×C₃	semidirect
310. D₄×Dic₃	C₂²×C₃	semidirect
311. D₄×Dic₃	C₂²×C₃	semidirect
312. D₄×Dic₃	C₂²×C₃	semidirect
313. D₄×Dic₃	C₂²×C₃	semidirect
314. #930	C₂²×C₃	semidirect
315. C₄×#67	C₂²×C₃	semidirect
316. C₄×#67	C₂²×C₃	semidirect
317. C₂×C₄⋊Dic₃	C₂²×C₃	semidirect
318. #924	C₂²×C₃	semidirect
319. C₂×C₄×Dic₃	C₂²×C₃	semidirect
320. #897	C₂²×C₃	semidirect
321. #893	C₂²×C₃	semidirect
322. #892	C₂²×C₃	semidirect
323. D₃×C₄⋊C₄	C₂²×C₃	semidirect
324. #888	C₂²×C₃	semidirect
325. #887	C₂²×C₃	semidirect
326. #886	C₂²×C₃	semidirect
327. #885	C₂²×C₃	semidirect
328. #883	C₂²×C₃	semidirect
329. #67⋊C₄	C₂²×C₃	semidirect
330. #67⋊C₄	C₂²×C₃	semidirect
331. #67⋊C₄	C₂²×C₃	semidirect
332. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
333. #878	C₂²×C₃	semidirect
334. #878	C₂²×C₃	semidirect
335. #877	C₂²×C₃	semidirect
336. C₄×D₁₂	C₂²×C₃	semidirect
337. C₄²×D₃	C₂²×C₃	semidirect
338. #869	C₂²×C₃	semidirect
339. C₄×Dic₆	C₂²×C₃	semidirect
356. C₃²×D₄	C₂×D₄	semidirect
357. C₃²×D₄	#41	semidirect
370. C₃×#67	C₂×D₄	semidirect
377. C₂×C₃×Dic₃	C₂×D₄	semidirect
391. C₃×C₄×D₃	C₂×D₄	semidirect
394. C₃×Dic₆	C₂×D₄	semidirect
404. D₄²	C₃×D₃	semidirect
504. #237	C₃×D₄	direct (N × H)
595. C₂²×C₃²	C₂×#41	semidirect
608. C₃²×C₄	C₂×#41	semidirect
627. C₂²×D₄	C₂×C₃×D₃	semidirect
633. #127	C₂×C₃×D₃	semidirect
650. #121	C₂×C₃×D₃	semidirect
651. #121	C₂×C₃×D₃	semidirect
654. #120	C₂×C₃×D₃	semidirect
673. C₄×D₄	C₂×C₃×D₃	semidirect
737. C₃×D₄	D₃×D₄	semidirect
738. C₃×D₄	#237	direct (N × H)
739. C₃×D₄	C₂×C₃×D₄	semidirect
740. C₃×D₄	C₃×#41	semidirect
787. #67	C₂×C₃×D₄	semidirect
794. C₂×Dic₃	C₂×C₃×D₄	semidirect
808. C₄×D₃	C₂×C₃×D₄	semidirect
811. Dic₆	C₂×C₃×D₄	semidirect
933. C₂²×C₃	C₂×#237	semidirect
935. C₂²×C₃	C₂×C₃×#41	semidirect
964. C₃×C₄	C₂×#237	semidirect
966. C₃×C₄	C₂×C₃×#41	semidirect
974. C₃²	D₄×#41	semidirect
1001. D₄	C₃×D₃×D₄	semidirect
1002. D₄	C₃×#237	direct (N × H)
1068. C₂²	C₂×C₃×#237	semidirect
1081. C₄	C₂×C₃×#237	semidirect
1083. C₃	D₄×#237	direct (N × H)
1084. C₃	C₃×D₄×#41	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₃×#237	2
C₃²×D₄²	2
C₃×#5806	2
C₃×D₄×#67	2
C₂×C₃×D₄×Dic₃	2
C₃×#5718	2
C₃×#5716	2
C₃×#5611	2
C₃×#5606	2
C₃×#5598	2
C₃×#5596	2
C₃×#5591	2
C₃×#5586	2
C₃×#5555	2
C₃×C₄×D₃×D₄	2
C₃×D₄×Dic₆	2
C₃×C₄×#237	2
C₃×D₄×#41	3
D₄×#237	3

Subgroups — C3×D4×#237 #11902739

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×D₄×#237 #11902739