Subgroups — C₃×D₄×#235 #11902757

Order 1152.

3509 conjugacy classes of subgroups.

The subgroup lattice has 1112 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₃×#235	C₂	1	2	yes	maximal, complemented
2	C₂×C₃²×C₄×D₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×D₄×#67	C₂	1	2	yes	maximal, complemented
4	C₃×#5791	C₂	1	2	yes	maximal, complemented
5	C₃×#5553	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5552	C₂	1	2	yes	maximal, complemented
7	C₃×#5551	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5550	C₂	1	2	yes	maximal, complemented
9	C₃×D₄×D₁₂	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5548	C₂	1	2	yes	maximal, complemented
11	C₃×#5547	C₂	1	4	yes	maximal, complemented
12	C₃×C₄×D₃×D₄	C₂	1	2	yes	maximal, complemented
13	C₃×D₄×Dic₆	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5507	C₂	1	2	yes	maximal, complemented
15	C₃×#5490	C₂	1	4	yes	maximal, complemented
16	C₃×#5477	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×C₄×#235	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×D₄×#41	—	3	1	no	maximal
19	D₄×#235	C₃	1	1	yes	maximal, characteristic, direct product factor
20	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic
21	C₂³×C₃²×C₄	C₂²	1	2	yes	complemented
22	C₂²×C₃×#67	C₂²	1	4	yes	complemented
23	C₂×C₃×D₃×D₄	C₂²	1	2	yes	—
24	C₂×C₃×#235	—	2	16	no	—
25	C₂×C₃×#235	C₂²	1	1	yes	characteristic
26	C₂×C₃×#235	C₂²	1	4	yes	complemented
27	C₂×C₃×#235	C₂²	1	2	yes	complemented
28	C₂×C₃×#235	C₂²	1	4	yes	complemented
29	C₂×C₃×#235	C₂²	1	2	yes	complemented
30	C₂×C₃×#235	C₂²	1	2	yes	complemented
31	C₂²×C₃×D₁₂	C₂²	1	2	yes	complemented
32	C₂²×C₃×C₄×D₃	C₂²	1	4	yes	complemented
33	C₂²×C₃×Dic₆	C₂²	1	2	yes	complemented
34	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
35	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
36	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
37	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
38	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
39	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₃²×C₂²⋊C₄	C₂²	1	2	yes	complemented
42	C₂×C₃²×C₄²	C₂²	1	1	yes	characteristic, complemented
43	C₃×#953	C₂²	1	4	yes	complemented
44	C₃×#940	C₂²	1	2	yes	complemented
45	C₃×#939	C₂²	1	4	yes	complemented
46	C₃×#938	C₂²	1	2	yes	complemented
47	C₃×#937	C₂²	1	4	yes	complemented
48	C₃×D₄×Dic₃	C₂²	1	2	yes	—
49	C₃×#930	C₂²	1	2	yes	complemented
50	C₃×#930	C₂²	1	2	yes	complemented
51	C₃×#930	C₂²	1	2	yes	complemented
52	C₃×#930	C₂²	1	2	yes	complemented
53	C₃×#929	C₂²	1	4	yes	complemented
54	C₃×C₄×#67	C₂²	1	2	yes	complemented
55	C₃×C₄×#67	C₂²	1	2	yes	complemented
56	C₃×C₄×#67	C₂²	1	4	yes	complemented
57	C₃×C₄×#67	C₂²	1	4	yes	complemented
58	C₃×#926	C₂²	1	1	yes	characteristic, complemented
59	C₃×#924	C₂²	1	2	yes	complemented
60	C₃×#924	C₂²	1	2	yes	complemented
61	C₃×#896	C₂²	1	4	yes	complemented
62	C₃×#895	C₂²	1	2	yes	complemented
63	C₃×#894	C₂²	1	4	yes	complemented
64	C₃×#893	C₂²	1	2	yes	complemented
65	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
66	C₃×#888	C₂²	1	2	yes	complemented
67	C₃×#885	C₂²	1	4	yes	complemented
68	C₃×#884	C₂²	1	4	yes	complemented
69	C₃×#884	C₂²	1	4	yes	complemented
70	C₃×#883	C₂²	1	4	yes	complemented
71	C₃×#882	C₂²	1	4	yes	complemented
72	C₃×#67⋊C₄	C₂²	1	4	yes	complemented
73	C₃×D₃×C₂²⋊C₄	C₂²	1	4	yes	complemented
74	C₃×#878	C₂²	1	4	yes	complemented
75	C₃×#875	C₂²	1	2	yes	complemented
76	C₃×#874	C₂²	1	1	yes	characteristic, complemented
77	C₃×C₄×D₁₂	C₂²	1	2	yes	complemented
78	C₃×C₄×D₁₂	C₂²	1	2	yes	complemented
79	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
80	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
81	C₃×#872	C₂²	1	2	yes	complemented
82	C₃×C₄²×D₃	C₂²	1	2	yes	complemented
83	C₃×#869	C₂²	1	1	yes	characteristic, complemented
84	C₃×C₄×Dic₆	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×#235	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	1	no	—
92	C₃×#547	—	3	2	no	—
93	C₃×#546	—	3	2	no	—
94	C₃×#546	—	3	4	no	—
95	C₃×D₄²	—	3	2	no	—
96	C₃×D₄²	—	3	1	no	—
97	C₃×#532	—	3	2	no	—
98	C₃×#532	—	3	1	no	—
99	C₃×#525	—	3	2	no	—
100	C₃×#525	—	3	4	no	—
101	C₃×C₄×#41	—	3	1	no	—
102	C₂×C₃×C₄×D₄	—	2	1	no	—
103	C₂×C₃×C₄×D₄	—	3	2	no	—
104	C₂×C₃×C₄×D₄	D₃	1	1	yes	characteristic, complemented
105	C₂×C₃×C₄×D₄	C₂×C₃	1	1	yes	characteristic, complemented
106	D₄×#67	C₂×C₃	1	2	yes	complemented
107	#5791	C₂×C₃	1	2	yes	complemented
108	#5553	C₂×C₃	1	1	yes	characteristic, complemented
109	#5552	C₂×C₃	1	2	yes	complemented
110	#5551	C₂×C₃	1	1	yes	characteristic, complemented
111	#5550	C₂×C₃	1	2	yes	complemented
112	D₄×D₁₂	C₂×C₃	1	1	yes	characteristic, complemented
113	#5548	C₂×C₃	1	2	yes	complemented
114	#5547	C₂×C₃	1	4	yes	complemented
115	C₄×D₃×D₄	C₂×C₃	1	2	yes	complemented
116	D₄×Dic₆	C₂×C₃	1	1	yes	characteristic, complemented
117	#5507	C₂×C₃	1	2	yes	complemented
118	#5490	C₂×C₃	1	4	yes	complemented
119	#5477	C₂×C₃	1	1	yes	characteristic, complemented
120	C₄×#235	C₂×C₃	1	1	yes	characteristic, complemented
121	C₂⁴×C₃²	C₂³	1	2	yes	—
122	C₂³×C₃×D₃	C₂³	1	4	yes	—
123	C₂×C₃²×D₄	—	2	4	no	—
124	C₂×C₃²×D₄	C₂³	1	2	yes	—
125	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
126	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
127	C₂²×C₃²×C₄	—	2	8	no	—
128	C₂²×C₃²×C₄	C₂³	1	2	yes	—
129	C₂²×C₃²×C₄	C₂³	1	2	yes	—
130	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
131	C₂²×C₃²×C₄	C₂³	1	2	yes	—
132	C₂²×C₃²×C₄	C₂³	1	2	yes	—
133	C₂²×C₃²×C₄	C₂³	1	2	yes	—
134	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
135	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
136	C₂×C₃×#67	—	2	16	no	—
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	4	yes	—
141	C₂×C₃×#67	C₂³	1	4	yes	—
142	C₂×C₃×#67	C₂³	1	2	yes	—
143	C₂²×C₃×Dic₃	C₂³	1	4	yes	—
144	C₃×D₃×D₄	—	2	8	no	—
145	C₃×#235	—	2	8	no	—
146	C₃×#235	—	2	16	no	—
147	C₃×#235	—	2	8	no	—
148	C₃×#235	—	2	16	no	—
149	C₃×#235	—	2	8	no	—
150	C₃×#235	D₄	1	8	yes	direct product factor
151	C₂×C₃×D₁₂	—	2	8	no	—
152	C₂×C₃×D₁₂	C₂³	1	4	yes	—
153	C₂×C₃×D₁₂	C₂³	1	2	yes	—
154	C₂×C₃×D₁₂	C₂³	1	2	yes	—
155	C₂×C₃×D₁₂	C₂³	1	2	yes	—
156	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
157	C₂×C₃×C₄×D₃	—	2	16	no	—
158	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
159	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
160	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
161	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
162	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
163	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
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×C₄⋊C₄	C₂³	1	2	yes	—
171	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
173	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
174	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
175	C₃²×C₄²	C₂³	1	1	yes	characteristic
176	C₃²×C₄²	C₂³	1	1	yes	characteristic
177	C₃²×C₄²	C₂³	1	1	yes	characteristic
178	C₃²×C₄²	C₂³	1	1	yes	characteristic
179	C₃×#217	C₂³	1	4	yes	—
180	C₃×#217	C₂³	1	4	yes	—
181	C₃×#217	C₂³	1	2	yes	—
182	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
183	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
184	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
185	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
186	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
187	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
188	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
189	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
190	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
191	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
192	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
193	C₃×Dic₃⋊C₄	C₂³	1	4	yes	—
194	C₃×Dic₃⋊C₄	C₂³	1	4	yes	—
195	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
196	C₃×C₄×Dic₃	C₂³	1	2	yes	—
197	C₃×C₄×Dic₃	C₂³	1	2	yes	—
198	C₃×C₄×Dic₃	C₂³	1	2	yes	—
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	1	no	—
209	C₂²×C₃×D₄	—	3	4	no	—
210	C₂²×C₃×D₄	—	3	2	no	—
211	C₂²×C₃×D₄	—	3	2	no	—
212	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic
213	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic
214	C₂³×C₃×C₄	—	2	2	no	—
215	C₂³×C₃×C₄	—	3	4	no	—
216	C₂³×C₃×C₄	C₂×D₃	1	2	yes	complemented
217	C₂³×C₃×C₄	C₂²×C₃	1	2	yes	complemented
218	C₂²×#67	C₂²×C₃	1	4	yes	complemented
219	C₂×D₃×D₄	C₂²×C₃	1	2	yes	—
220	C₂×#235	—	2	16	no	—
221	C₂×#235	C₂²×C₃	1	1	yes	characteristic
222	C₂×#235	C₂²×C₃	1	2	yes	complemented
223	C₂×#235	C₂²×C₃	1	4	yes	complemented
224	C₂×#235	C₂²×C₃	1	4	yes	complemented
225	C₂×#235	C₂²×C₃	1	2	yes	complemented
226	C₂×#235	C₂²×C₃	1	2	yes	complemented
227	C₂²×D₁₂	C₂²×C₃	1	2	yes	complemented
228	C₂²×C₄×D₃	C₂²×C₃	1	4	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	—	3	2	no	—
233	C₃×#127	—	3	1	no	—
234	C₃×#124	—	3	4	no	—
235	C₃×#124	—	3	2	no	—
236	C₃×#123	—	3	4	no	—
237	C₃×#123	—	3	4	no	—
238	C₃×#123	—	3	4	no	—
239	C₃×C₂²⋊Q₈	—	3	2	no	—
240	C₃×C₂²⋊Q₈	—	3	2	no	—
241	C₃×C₂²⋊Q₈	—	3	4	no	—
242	C₃×C₂²⋊Q₈	—	3	4	no	—
243	C₃×#121	—	3	2	no	—
244	C₃×#121	—	3	4	no	—
245	C₃×#121	—	3	2	no	—
246	C₃×#121	—	3	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×#120	—	3	4	no	—
253	C₃×#120	—	3	4	no	—
254	C₃×#120	—	3	4	no	—
255	C₃×C₄×Q₈	—	3	1	no	—
256	C₃×C₄×Q₈	—	3	1	no	—
257	C₃×C₄×D₄	—	2	1	no	—
258	C₃×C₄×D₄	—	2	1	no	—
259	C₃×C₄×D₄	—	2	2	no	—
260	C₃×C₄×D₄	—	2	1	no	—
261	C₃×C₄×D₄	—	2	2	no	—
262	C₃×C₄×D₄	—	2	1	no	—
263	C₃×C₄×D₄	—	3	2	no	—
264	C₃×C₄×D₄	—	3	4	no	—
265	C₃×C₄×D₄	—	3	2	no	—
266	C₃×C₄×D₄	—	3	2	no	—
267	C₃×C₄×D₄	—	3	4	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	1	no	—
272	C₃×C₄×D₄	—	3	1	no	—
273	C₃×C₄×D₄	—	3	2	no	—
274	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
275	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
276	C₃×C₄×D₄	C₂×D₃	1	2	yes	complemented
277	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
278	C₃×C₄×D₄	C₂×D₃	1	2	yes	complemented
279	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
280	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
281	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
282	C₃×C₄×D₄	C₂²×C₃	1	2	yes	complemented
283	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
284	C₃×C₄×D₄	C₂²×C₃	1	2	yes	complemented
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	—	2	1	no	—
289	C₂×C₃×C₄⋊C₄	—	3	2	no	—
290	C₂×C₃×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
291	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
292	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
293	C₂×C₃×C₂²⋊C₄	—	3	4	no	—
294	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	2	yes	complemented
295	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
296	C₂×C₃×C₄²	—	2	1	no	—
297	C₂×C₃×C₄²	—	3	2	no	—
298	C₂×C₃×C₄²	C₂×D₃	1	1	yes	characteristic, complemented
299	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic, complemented
300	#953	C₂²×C₃	1	4	yes	complemented
301	#940	C₂²×C₃	1	2	yes	complemented
302	#939	C₂²×C₃	1	4	yes	complemented
303	#938	C₂²×C₃	1	2	yes	complemented
304	#937	C₂²×C₃	1	4	yes	complemented
305	D₄×Dic₃	C₂²×C₃	1	2	yes	—
306	#930	C₂²×C₃	1	2	yes	complemented
307	#930	C₂²×C₃	1	2	yes	complemented
308	#930	C₂²×C₃	1	2	yes	complemented
309	#930	C₂²×C₃	1	2	yes	complemented
310	#929	C₂²×C₃	1	4	yes	complemented
311	C₄×#67	C₂²×C₃	1	2	yes	complemented
312	C₄×#67	C₂²×C₃	1	2	yes	complemented
313	C₄×#67	C₂²×C₃	1	4	yes	complemented
314	C₄×#67	C₂²×C₃	1	4	yes	complemented
315	#926	C₂²×C₃	1	1	yes	characteristic, complemented
316	#924	C₂²×C₃	1	2	yes	complemented
317	#924	C₂²×C₃	1	2	yes	complemented
318	#896	C₂²×C₃	1	4	yes	complemented
319	#895	C₂²×C₃	1	2	yes	complemented
320	#894	C₂²×C₃	1	4	yes	complemented
321	#893	C₂²×C₃	1	2	yes	complemented
322	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
323	#888	C₂²×C₃	1	2	yes	complemented
324	#885	C₂²×C₃	1	4	yes	complemented
325	#884	C₂²×C₃	1	4	yes	complemented
326	#884	C₂²×C₃	1	4	yes	complemented
327	#883	C₂²×C₃	1	4	yes	complemented
328	#882	C₂²×C₃	1	4	yes	complemented
329	#67⋊C₄	C₂²×C₃	1	4	yes	complemented
330	D₃×C₂²⋊C₄	C₂²×C₃	1	4	yes	complemented
331	#878	C₂²×C₃	1	4	yes	complemented
332	#875	C₂²×C₃	1	2	yes	complemented
333	#874	C₂²×C₃	1	1	yes	characteristic, complemented
334	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
335	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
336	C₄×D₁₂	C₂²×C₃	1	2	yes	complemented
337	C₄×D₁₂	C₂²×C₃	1	2	yes	complemented
338	#872	C₂²×C₃	1	2	yes	complemented
339	C₄²×D₃	C₂²×C₃	1	2	yes	complemented
340	#869	C₂²×C₃	1	1	yes	characteristic, complemented
341	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
342	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
343	C₂³×C₃²	—	2	4	no	—
344	C₂³×C₃²	—	2	4	no	—
345	C₂³×C₃²	—	4	2	no	—
346	C₂³×C₃²	C₂⁴	1	2	yes	—
347	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
348	C₂³×C₃²	C₂⁴	1	2	yes	—
349	C₂²×C₃×D₃	—	2	8	no	—
350	C₂²×C₃×D₃	—	2	8	no	—
351	C₂²×C₃×D₃	—	4	4	no	—
352	C₂²×C₃×D₃	C₂⁴	1	4	yes	—
353	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
354	C₃²×D₄	—	2	4	no	—
355	C₃²×D₄	—	2	2	no	—
356	C₃²×D₄	#41	1	4	yes	complemented
357	C₂×C₃²×C₄	—	2	2	no	—
358	C₂×C₃²×C₄	—	2	4	no	—
359	C₂×C₃²×C₄	—	2	4	no	—
360	C₂×C₃²×C₄	—	2	4	no	—
361	C₂×C₃²×C₄	—	2	4	no	—
362	C₂×C₃²×C₄	—	2	4	no	—
363	C₂×C₃²×C₄	—	4	1	no	—
364	C₂×C₃²×C₄	C₂×D₄	1	4	yes	complemented
365	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
366	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
367	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
368	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
369	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
370	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
371	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
372	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
373	C₃×#67	—	2	8	no	—
374	C₃×#67	—	2	8	no	—
375	C₃×#67	—	2	8	no	—
376	C₃×#67	—	2	8	no	—
377	C₃×#67	—	4	4	no	—
378	C₃×#67	C₂×D₄	1	8	yes	complemented
379	C₂×C₃×Dic₃	—	2	8	no	—
380	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
381	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
382	C₂×C₃×Dic₃	C₂⁴	1	4	yes	—
383	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
384	C₃×D₁₂	—	2	8	no	—
385	C₃×D₁₂	—	2	4	no	—
386	C₃×D₁₂	—	2	4	no	—
387	C₃×D₁₂	—	4	2	no	—
388	C₃×D₁₂	C₂×D₄	1	4	yes	complemented
389	C₃×C₄×D₃	—	2	8	no	—
390	C₃×C₄×D₃	—	2	8	no	—
391	C₃×C₄×D₃	—	2	4	no	—
392	C₃×C₄×D₃	—	2	8	no	—
393	C₃×C₄×D₃	—	4	2	no	—
394	C₃×C₄×D₃	C₂×D₄	1	8	yes	complemented
395	C₃×Dic₆	—	2	4	no	—
396	C₃×Dic₆	—	2	8	no	—
397	C₃×Dic₆	C₂×D₄	1	4	yes	complemented
398	C₂²×#41	—	3	2	no	—
399	#550	—	3	1	no	—
400	D₄×Q₈	—	3	1	no	—
401	#548	—	3	2	no	—
402	#547	—	3	1	no	—
403	#547	—	3	2	no	—
404	#546	—	3	2	no	—
405	#546	—	3	4	no	—
406	D₄²	—	3	2	no	—
407	D₄²	—	3	1	no	—
408	#532	—	3	2	no	—
409	#532	—	3	1	no	—
410	#525	—	3	2	no	—
411	#525	—	3	4	no	—
412	C₄×#41	—	3	1	no	—
413	C₂×C₄×D₄	—	3	2	no	—
414	C₂×C₄×D₄	C₃×D₃	1	1	yes	characteristic, complemented
415	C₂⁴×C₃	—	2	2	no	—
416	C₂⁴×C₃	—	3	4	no	—
417	C₂⁴×C₃	C₂²×D₃	1	2	yes	—
418	C₂⁴×C₃	C₂³×C₃	1	2	yes	—
419	C₂³×D₃	C₂³×C₃	1	4	yes	—
420	C₃×#41	—	3	8	no	—
421	C₃×#41	—	6	16	no	—
422	C₃×#41	—	6	16	no	—
423	C₃×#41	—	6	8	no	—
424	C₃×#41	—	6	8	no	—
425	C₃×#41	—	6	8	no	—
426	C₂×C₃×Q₈	—	3	1	no	—
427	C₂×C₃×Q₈	—	3	4	no	—
428	C₂×C₃×Q₈	—	3	2	no	—
429	C₂×C₃×Q₈	—	6	8	no	—
430	C₂×C₃×D₄	—	2	8	no	—
431	C₂×C₃×D₄	—	2	4	no	—
432	C₂×C₃×D₄	—	2	4	no	—
433	C₂×C₃×D₄	—	2	2	no	—
434	C₂×C₃×D₄	—	2	1	no	—
435	C₂×C₃×D₄	—	2	1	no	—
436	C₂×C₃×D₄	—	3	2	no	—
437	C₂×C₃×D₄	—	3	4	no	—
438	C₂×C₃×D₄	—	3	4	no	—
439	C₂×C₃×D₄	—	3	4	no	—
440	C₂×C₃×D₄	—	3	4	no	—
441	C₂×C₃×D₄	—	3	4	no	—
442	C₂×C₃×D₄	—	3	1	no	—
443	C₂×C₃×D₄	—	3	2	no	—
444	C₂×C₃×D₄	—	3	4	no	—
445	C₂×C₃×D₄	—	3	2	no	—
446	C₂×C₃×D₄	—	3	2	no	—
447	C₂×C₃×D₄	—	6	8	no	—
448	C₂×C₃×D₄	—	6	16	no	—
449	C₂×C₃×D₄	—	6	8	no	—
450	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
451	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
452	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
453	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
454	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
455	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
456	C₂²×C₃×C₄	—	2	8	no	—
457	C₂²×C₃×C₄	—	2	8	no	—
458	C₂²×C₃×C₄	—	2	1	no	—
459	C₂²×C₃×C₄	—	2	1	no	—
460	C₂²×C₃×C₄	—	2	1	no	—
461	C₂²×C₃×C₄	—	2	2	no	—
462	C₂²×C₃×C₄	—	2	2	no	—
463	C₂²×C₃×C₄	—	2	2	no	—
464	C₂²×C₃×C₄	—	2	2	no	—
465	C₂²×C₃×C₄	—	2	2	no	—
466	C₂²×C₃×C₄	—	3	2	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	—	4	8	no	—
474	C₂²×C₃×C₄	—	6	16	no	—
475	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
476	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
477	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
478	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
479	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
480	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
481	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
482	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
483	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
484	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
485	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
486	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
487	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
488	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
489	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
490	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
491	C₂×#67	—	2	16	no	—
492	C₂×#67	C₂³×C₃	1	4	yes	—
493	C₂×#67	C₂³×C₃	1	4	yes	—
494	C₂×#67	C₂³×C₃	1	4	yes	—
495	C₂×#67	C₂³×C₃	1	4	yes	—
496	C₂×#67	C₂³×C₃	1	4	yes	—
497	C₂×#67	C₂³×C₃	1	2	yes	—
498	C₂²×Dic₃	C₂³×C₃	1	4	yes	—
499	D₃×D₄	—	2	8	no	—
500	#235	—	2	8	no	—
501	#235	—	2	16	no	—
502	#235	—	2	8	no	—
503	#235	—	2	16	no	—
504	#235	—	2	8	no	—
505	#235	C₃×D₄	1	8	yes	direct product factor
506	C₂×D₁₂	—	2	8	no	—
507	C₂×D₁₂	C₂³×C₃	1	2	yes	—
508	C₂×D₁₂	C₂³×C₃	1	2	yes	—
509	C₂×D₁₂	C₂³×C₃	1	4	yes	—
510	C₂×D₁₂	C₂³×C₃	1	2	yes	—
511	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
512	C₂×C₄×D₃	—	2	16	no	—
513	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
514	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
515	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
516	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
517	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
518	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
519	C₂×Dic₆	—	2	8	no	—
520	C₂×Dic₆	C₂³×C₃	1	2	yes	—
521	C₂×Dic₆	C₂³×C₃	1	4	yes	—
522	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
523	C₃×C₄⋊C₄	—	2	1	no	—
524	C₃×C₄⋊C₄	—	2	1	no	—
525	C₃×C₄⋊C₄	—	2	2	no	—
526	C₃×C₄⋊C₄	—	3	4	no	—
527	C₃×C₄⋊C₄	—	3	2	no	—
528	C₃×C₄⋊C₄	—	3	2	no	—
529	C₃×C₄⋊C₄	—	3	4	no	—
530	C₃×C₄⋊C₄	—	3	2	no	—
531	C₃×C₄⋊C₄	—	3	1	no	—
532	C₃×C₄⋊C₄	—	3	1	no	—
533	C₃×C₄⋊C₄	—	3	2	no	—
534	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
535	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
536	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
537	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
538	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
539	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
540	C₃×C₂²⋊C₄	—	2	2	no	—
541	C₃×C₂²⋊C₄	—	2	2	no	—
542	C₃×C₂²⋊C₄	—	2	2	no	—
543	C₃×C₂²⋊C₄	—	2	2	no	—
544	C₃×C₂²⋊C₄	—	3	4	no	—
545	C₃×C₂²⋊C₄	—	3	2	no	—
546	C₃×C₂²⋊C₄	—	3	4	no	—
547	C₃×C₂²⋊C₄	—	3	4	no	—
548	C₃×C₂²⋊C₄	—	3	4	no	—
549	C₃×C₂²⋊C₄	—	3	2	no	—
550	C₃×C₂²⋊C₄	—	3	2	no	—
551	C₃×C₂²⋊C₄	—	3	4	no	—
552	C₃×C₂²⋊C₄	—	3	4	no	—
553	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
554	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
555	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
556	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
557	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
558	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
559	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
560	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
561	C₃×C₄²	—	2	1	no	—
562	C₃×C₄²	—	2	1	no	—
563	C₃×C₄²	—	2	1	no	—
564	C₃×C₄²	—	2	1	no	—
565	C₃×C₄²	—	3	2	no	—
566	C₃×C₄²	—	3	2	no	—
567	C₃×C₄²	—	3	2	no	—
568	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
569	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
570	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
571	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
572	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
573	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
574	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
575	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
576	#217	C₂³×C₃	1	4	yes	—
577	#217	C₂³×C₃	1	4	yes	—
578	#217	C₂³×C₃	1	2	yes	—
579	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
580	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
581	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
582	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
583	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
584	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
585	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
586	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
587	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
588	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
589	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
590	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
591	Dic₃⋊C₄	C₂³×C₃	1	4	yes	—
592	Dic₃⋊C₄	C₂³×C₃	1	4	yes	—
593	C₄×Dic₃	C₂³×C₃	1	2	yes	—
594	C₄×Dic₃	C₂³×C₃	1	2	yes	—
595	C₄×Dic₃	C₂³×C₃	1	2	yes	—
596	C₂²×C₃²	—	2	1	no	—
597	C₂²×C₃²	—	2	1	no	—
598	C₂²×C₃²	—	2	2	no	—
599	C₂²×C₃²	—	2	2	no	—
600	C₂²×C₃²	—	2	2	no	—
601	C₂²×C₃²	—	2	2	no	—
602	C₂²×C₃²	—	2	2	no	—
603	C₂²×C₃²	—	4	8	no	—
604	C₂²×C₃²	C₂²×D₄	1	2	yes	—
605	C₂²×C₃²	C₂×#41	1	4	yes	complemented
606	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
607	C₂×C₃×D₃	—	2	2	no	—
608	C₂×C₃×D₃	—	2	2	no	—
609	C₂×C₃×D₃	—	2	4	no	—
610	C₂×C₃×D₃	—	2	4	no	—
611	C₂×C₃×D₃	—	2	4	no	—
612	C₂×C₃×D₃	—	4	16	no	—
613	C₂×C₃×D₃	C₂²×D₄	1	4	yes	—
614	C₃²×C₄	—	2	1	no	—
615	C₃²×C₄	—	2	2	no	—
616	C₃²×C₄	—	2	2	no	—
617	C₃²×C₄	—	2	1	no	—
618	C₃²×C₄	—	2	1	no	—
619	C₃²×C₄	C₂²×D₄	1	2	yes	—
620	C₃²×C₄	C₂²×D₄	1	2	yes	—
621	C₃²×C₄	C₂×#41	1	2	yes	complemented
622	C₃×Dic₃	—	2	4	no	—
623	C₃×Dic₃	—	2	2	no	—
624	C₃×Dic₃	—	2	2	no	—
625	C₃×Dic₃	C₂²×D₄	1	4	yes	—
626	C₂×#41	—	3	1	no	—
627	C₂×#41	—	3	4	no	—
628	C₂×#41	—	3	2	no	—
629	C₂×#41	—	3	2	no	—
630	C₂×#41	—	3	4	no	—
631	C₂×#41	—	3	2	no	—
632	C₂×#41	—	6	16	no	—
633	C₂²×Q₈	—	3	2	no	—
634	C₂²×D₄	—	3	4	no	—
635	C₂²×D₄	—	3	2	no	—
636	C₂²×D₄	—	3	2	no	—
637	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic
638	C₂³×C₄	—	3	4	no	—
639	C₂³×C₄	C₂×C₃×D₃	1	2	yes	complemented
640	C₄⋊Q₈	—	3	2	no	—
641	C₄⋊Q₈	—	3	1	no	—
642	#127	—	3	2	no	—
643	#127	—	3	1	no	—
644	#124	—	3	4	no	—
645	#124	—	3	2	no	—
646	#123	—	3	4	no	—
647	#123	—	3	4	no	—
648	#123	—	3	4	no	—
649	C₂²⋊Q₈	—	3	2	no	—
650	C₂²⋊Q₈	—	3	2	no	—
651	C₂²⋊Q₈	—	3	4	no	—
652	C₂²⋊Q₈	—	3	4	no	—
653	#121	—	3	4	no	—
654	#121	—	3	2	no	—
655	#121	—	3	2	no	—
656	#121	—	3	2	no	—
657	#121	—	3	2	no	—
658	#121	—	3	2	no	—
659	#121	—	3	2	no	—
660	#121	—	3	4	no	—
661	#121	—	3	4	no	—
662	#120	—	3	4	no	—
663	#120	—	3	4	no	—
664	#120	—	3	4	no	—
665	C₄×Q₈	—	3	1	no	—
666	C₄×Q₈	—	3	1	no	—
667	C₄×D₄	—	3	2	no	—
668	C₄×D₄	—	3	4	no	—
669	C₄×D₄	—	3	2	no	—
670	C₄×D₄	—	3	2	no	—
671	C₄×D₄	—	3	4	no	—
672	C₄×D₄	—	3	2	no	—
673	C₄×D₄	—	3	4	no	—
674	C₄×D₄	—	3	2	no	—
675	C₄×D₄	—	3	1	no	—
676	C₄×D₄	—	3	1	no	—
677	C₄×D₄	—	3	2	no	—
678	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
679	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
680	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
681	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
682	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
683	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
684	#117	—	3	1	no	—
685	#117	—	3	2	no	—
686	C₂×C₄⋊C₄	—	3	2	no	—
687	C₂×C₄⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
688	C₂×C₂²⋊C₄	—	3	4	no	—
689	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	2	yes	complemented
690	C₂×C₄²	—	3	2	no	—
691	C₂×C₄²	C₂×C₃×D₃	1	1	yes	characteristic, complemented
692	C₂³×C₃	—	2	8	no	—
693	C₂³×C₃	—	2	4	no	—
694	C₂³×C₃	—	2	4	no	—
695	C₂³×C₃	—	2	4	no	—
696	C₂³×C₃	—	2	4	no	—
697	C₂³×C₃	—	2	1	no	—
698	C₂³×C₃	—	2	2	no	—
699	C₂³×C₃	—	2	2	no	—
700	C₂³×C₃	—	3	2	no	—
701	C₂³×C₃	—	3	4	no	—
702	C₂³×C₃	—	4	4	no	—
703	C₂³×C₃	—	4	2	no	—
704	C₂³×C₃	—	4	2	no	—
705	C₂³×C₃	—	4	4	no	—
706	C₂³×C₃	—	6	8	no	—
707	C₂³×C₃	—	6	8	no	—
708	C₂³×C₃	—	12	4	no	—
709	C₂³×C₃	C₂³×D₃	1	2	yes	—
710	C₂³×C₃	C₂³×D₃	1	2	yes	—
711	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
712	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
713	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
714	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
715	C₂²×D₃	—	2	8	no	—
716	C₂²×D₃	—	2	8	no	—
717	C₂²×D₃	—	4	4	no	—
718	C₂²×D₃	C₂⁴×C₃	1	4	yes	—
719	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
720	C₃×Q₈	—	3	4	no	—
721	C₃×Q₈	—	6	8	no	—
722	C₃×Q₈	—	6	4	no	—
723	C₃×D₄	—	2	8	no	—
724	C₃×D₄	—	2	4	no	—
725	C₃×D₄	—	2	4	no	—
726	C₃×D₄	—	2	4	no	—
727	C₃×D₄	—	2	2	no	—
728	C₃×D₄	—	2	2	no	—
729	C₃×D₄	—	2	4	no	—
730	C₃×D₄	—	3	8	no	—
731	C₃×D₄	—	3	4	no	—
732	C₃×D₄	—	6	8	no	—
733	C₃×D₄	—	6	8	no	—
734	C₃×D₄	—	6	8	no	—
735	C₃×D₄	—	6	8	no	—
736	C₃×D₄	—	6	8	no	—
737	C₃×D₄	—	6	4	no	—
738	C₃×D₄	—	6	4	no	—
739	C₃×D₄	—	12	2	no	—
740	C₃×D₄	—	12	4	no	—
741	C₃×D₄	#235	1	4	yes	direct product factor
742	C₃×D₄	C₃×#41	1	4	yes	complemented
743	C₂×C₃×C₄	—	2	4	no	—
744	C₂×C₃×C₄	—	2	4	no	—
745	C₂×C₃×C₄	—	2	4	no	—
746	C₂×C₃×C₄	—	2	2	no	—
747	C₂×C₃×C₄	—	2	4	no	—
748	C₂×C₃×C₄	—	2	4	no	—
749	C₂×C₃×C₄	—	2	4	no	—
750	C₂×C₃×C₄	—	2	4	no	—
751	C₂×C₃×C₄	—	2	4	no	—
752	C₂×C₃×C₄	—	2	4	no	—
753	C₂×C₃×C₄	—	2	4	no	—
754	C₂×C₃×C₄	—	2	4	no	—
755	C₂×C₃×C₄	—	2	2	no	—
756	C₂×C₃×C₄	—	2	1	no	—
757	C₂×C₃×C₄	—	2	1	no	—
758	C₂×C₃×C₄	—	2	1	no	—
759	C₂×C₃×C₄	—	2	1	no	—
760	C₂×C₃×C₄	—	2	1	no	—
761	C₂×C₃×C₄	—	2	1	no	—
762	C₂×C₃×C₄	—	2	2	no	—
763	C₂×C₃×C₄	—	2	2	no	—
764	C₂×C₃×C₄	—	2	4	no	—
765	C₂×C₃×C₄	—	3	2	no	—
766	C₂×C₃×C₄	—	3	8	no	—
767	C₂×C₃×C₄	—	3	2	no	—
768	C₂×C₃×C₄	—	3	2	no	—
769	C₂×C₃×C₄	—	3	4	no	—
770	C₂×C₃×C₄	—	4	4	no	—
771	C₂×C₃×C₄	—	4	4	no	—
772	C₂×C₃×C₄	—	4	4	no	—
773	C₂×C₃×C₄	—	4	4	no	—
774	C₂×C₃×C₄	—	4	4	no	—
775	C₂×C₃×C₄	—	4	1	no	—
776	C₂×C₃×C₄	—	4	1	no	—
777	C₂×C₃×C₄	—	4	2	no	—
778	C₂×C₃×C₄	—	6	8	no	—
779	C₂×C₃×C₄	—	6	8	no	—
780	C₂×C₃×C₄	—	6	8	no	—
781	C₂×C₃×C₄	—	6	4	no	—
782	C₂×C₃×C₄	—	6	8	no	—
783	C₂×C₃×C₄	—	12	2	no	—
784	C₂×C₃×C₄	D₃×D₄	1	4	yes	complemented
785	C₂×C₃×C₄	C₂×C₃×D₄	1	4	yes	complemented
786	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
787	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
788	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
789	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
790	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
791	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
792	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
793	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
794	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
795	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
796	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
797	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
798	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
799	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
800	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
801	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
802	#67	—	2	8	no	—
803	#67	—	2	8	no	—
804	#67	—	2	8	no	—
805	#67	—	2	8	no	—
806	#67	—	4	4	no	—
807	#67	C₂×C₃×D₄	1	8	yes	complemented
808	C₂×Dic₃	—	2	8	no	—
809	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
810	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
811	C₂×Dic₃	C₂⁴×C₃	1	4	yes	—
812	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
813	D₁₂	—	2	8	no	—
814	D₁₂	—	2	4	no	—
815	D₁₂	—	2	4	no	—
816	D₁₂	—	4	2	no	—
817	D₁₂	C₂×C₃×D₄	1	4	yes	complemented
818	C₄×D₃	—	2	8	no	—
819	C₄×D₃	—	2	8	no	—
820	C₄×D₃	—	2	4	no	—
821	C₄×D₃	—	2	8	no	—
822	C₄×D₃	—	4	2	no	—
823	C₄×D₃	C₂×C₃×D₄	1	8	yes	complemented
824	Dic₆	—	2	4	no	—
825	Dic₆	—	2	8	no	—
826	Dic₆	C₂×C₃×D₄	1	4	yes	complemented
827	C₂×C₃²	—	2	2	no	—
828	C₂×C₃²	—	2	4	no	—
829	C₂×C₃²	—	4	2	no	—
830	C₂×C₃²	C₂³×D₄	1	1	yes	characteristic
831	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
832	C₂×C₃²	#585	1	1	yes	characteristic
833	C₃×D₃	—	2	4	no	—
834	C₃×D₃	—	4	4	no	—
835	C₂⁴	—	3	4	no	—
836	C₂⁴	C₂²×C₃×D₃	1	2	yes	—
837	#41	—	3	8	no	—
838	#41	—	6	16	no	—
839	#41	—	6	16	no	—
840	#41	—	6	8	no	—
841	#41	—	6	8	no	—
842	#41	—	6	8	no	—
843	C₂×Q₈	—	3	1	no	—
844	C₂×Q₈	—	3	4	no	—
845	C₂×Q₈	—	3	2	no	—
846	C₂×Q₈	—	6	8	no	—
847	C₂×D₄	—	2	4	no	—
848	C₂×D₄	—	3	2	no	—
849	C₂×D₄	—	3	4	no	—
850	C₂×D₄	—	3	4	no	—
851	C₂×D₄	—	3	4	no	—
852	C₂×D₄	—	3	4	no	—
853	C₂×D₄	—	3	4	no	—
854	C₂×D₄	—	3	1	no	—
855	C₂×D₄	—	3	2	no	—
856	C₂×D₄	—	3	4	no	—
857	C₂×D₄	—	3	2	no	—
858	C₂×D₄	—	3	2	no	—
859	C₂×D₄	—	6	8	no	—
860	C₂×D₄	—	6	16	no	—
861	C₂×D₄	—	6	8	no	—
862	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
863	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
864	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
865	C₂²×C₄	—	2	8	no	—
866	C₂²×C₄	—	3	2	no	—
867	C₂²×C₄	—	3	4	no	—
868	C₂²×C₄	—	3	2	no	—
869	C₂²×C₄	—	3	4	no	—
870	C₂²×C₄	—	3	4	no	—
871	C₂²×C₄	—	3	4	no	—
872	C₂²×C₄	—	3	2	no	—
873	C₂²×C₄	—	6	16	no	—
874	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
875	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
876	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
877	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
878	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
879	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
880	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
881	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
882	C₄⋊C₄	—	3	2	no	—
883	C₄⋊C₄	—	3	4	no	—
884	C₄⋊C₄	—	3	2	no	—
885	C₄⋊C₄	—	3	2	no	—
886	C₄⋊C₄	—	3	1	no	—
887	C₄⋊C₄	—	3	1	no	—
888	C₄⋊C₄	—	3	4	no	—
889	C₄⋊C₄	—	3	2	no	—
890	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
891	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
892	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
893	C₂²⋊C₄	—	3	4	no	—
894	C₂²⋊C₄	—	3	2	no	—
895	C₂²⋊C₄	—	3	4	no	—
896	C₂²⋊C₄	—	3	4	no	—
897	C₂²⋊C₄	—	3	4	no	—
898	C₂²⋊C₄	—	3	2	no	—
899	C₂²⋊C₄	—	3	2	no	—
900	C₂²⋊C₄	—	3	4	no	—
901	C₂²⋊C₄	—	3	4	no	—
902	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
903	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
904	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
905	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
906	C₄²	—	3	2	no	—
907	C₄²	—	3	2	no	—
908	C₄²	—	3	2	no	—
909	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
910	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
911	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
912	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
913	C₂²×C₃	—	2	2	no	—
914	C₂²×C₃	—	2	2	no	—
915	C₂²×C₃	—	2	1	no	—
916	C₂²×C₃	—	2	2	no	—
917	C₂²×C₃	—	2	1	no	—
918	C₂²×C₃	—	2	2	no	—
919	C₂²×C₃	—	2	2	no	—
920	C₂²×C₃	—	2	1	no	—
921	C₂²×C₃	—	2	1	no	—
922	C₂²×C₃	—	2	2	no	—
923	C₂²×C₃	—	2	4	no	—
924	C₂²×C₃	—	2	2	no	—
925	C₂²×C₃	—	2	2	no	—
926	C₂²×C₃	—	2	2	no	—
927	C₂²×C₃	—	2	2	no	—
928	C₂²×C₃	—	2	2	no	—
929	C₂²×C₃	—	2	2	no	—
930	C₂²×C₃	—	2	4	no	—
931	C₂²×C₃	—	2	2	no	—
932	C₂²×C₃	—	2	1	no	—
933	C₂²×C₃	—	3	4	no	—
934	C₂²×C₃	—	4	2	no	—
935	C₂²×C₃	—	4	2	no	—
936	C₂²×C₃	—	4	2	no	—
937	C₂²×C₃	—	4	2	no	—
938	C₂²×C₃	—	4	8	no	—
939	C₂²×C₃	—	4	8	no	—
940	C₂²×C₃	—	4	16	no	—
941	C₂²×C₃	—	6	2	no	—
942	C₂²×C₃	—	6	2	no	—
943	C₂²×C₃	—	6	4	no	—
944	C₂²×C₃	—	6	4	no	—
945	C₂²×C₃	—	6	4	no	—
946	C₂²×C₃	—	12	16	no	—
947	C₂²×C₃	C₂×#235	1	4	yes	complemented
948	C₂²×C₃	C₂×D₃×D₄	1	2	yes	—
949	C₂²×C₃	C₂²×C₃×D₄	1	2	yes	—
950	C₂²×C₃	C₂×C₃×#41	1	4	yes	complemented
951	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
952	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
953	C₂×D₃	—	2	2	no	—
954	C₂×D₃	—	2	2	no	—
955	C₂×D₃	—	2	4	no	—
956	C₂×D₃	—	2	4	no	—
957	C₂×D₃	—	2	4	no	—
958	C₂×D₃	—	4	16	no	—
959	C₂×D₃	C₂²×C₃×D₄	1	4	yes	—
960	C₃×C₄	—	2	2	no	—
961	C₃×C₄	—	2	1	no	—
962	C₃×C₄	—	2	2	no	—
963	C₃×C₄	—	2	2	no	—
964	C₃×C₄	—	2	1	no	—
965	C₃×C₄	—	2	1	no	—
966	C₃×C₄	—	2	2	no	—
967	C₃×C₄	—	2	2	no	—
968	C₃×C₄	—	2	1	no	—
969	C₃×C₄	—	2	1	no	—
970	C₃×C₄	—	2	1	no	—
971	C₃×C₄	—	2	2	no	—
972	C₃×C₄	—	2	2	no	—
973	C₃×C₄	—	2	2	no	—
974	C₃×C₄	—	3	4	no	—
975	C₃×C₄	—	4	2	no	—
976	C₃×C₄	—	4	2	no	—
977	C₃×C₄	—	4	1	no	—
978	C₃×C₄	—	4	1	no	—
979	C₃×C₄	—	6	2	no	—
980	C₃×C₄	—	6	4	no	—
981	C₃×C₄	—	6	2	no	—
982	C₃×C₄	C₂×#235	1	2	yes	complemented
983	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
984	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
985	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
986	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
987	C₃×C₄	C₂×C₃×#41	1	2	yes	complemented
988	Dic₃	—	2	4	no	—
989	Dic₃	—	2	2	no	—
990	Dic₃	—	2	2	no	—
991	Dic₃	C₂²×C₃×D₄	1	4	yes	—
992	C₃²	D₄×#41	1	1	yes	characteristic, complemented, Sylow
993	C₂³	—	2	4	no	—
994	C₂³	—	2	4	no	—
995	C₂³	—	3	2	no	—
996	C₂³	—	3	4	no	—
997	C₂³	—	4	2	no	—
998	C₂³	—	6	8	no	—
999	C₂³	—	6	8	no	—
1000	C₂³	—	12	4	no	—
1001	C₂³	C₂³×C₃×D₃	1	2	yes	—
1002	C₂³	C₂³×C₃×D₃	1	2	yes	—
1003	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1004	Q₈	—	3	4	no	—
1005	Q₈	—	6	8	no	—
1006	Q₈	—	6	4	no	—
1007	D₄	—	2	4	no	—
1008	D₄	—	2	2	no	—
1009	D₄	—	3	8	no	—
1010	D₄	—	3	4	no	—
1011	D₄	—	6	8	no	—
1012	D₄	—	6	8	no	—
1013	D₄	—	6	8	no	—
1014	D₄	—	6	8	no	—
1015	D₄	—	6	8	no	—
1016	D₄	—	6	4	no	—
1017	D₄	—	6	4	no	—
1018	D₄	—	12	2	no	—
1019	D₄	—	12	4	no	—
1020	D₄	C₃×#235	1	4	yes	direct product factor
1021	C₂×C₄	—	2	4	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	4	no	—
1024	C₂×C₄	—	2	4	no	—
1025	C₂×C₄	—	2	4	no	—
1026	C₂×C₄	—	2	4	no	—
1027	C₂×C₄	—	3	2	no	—
1028	C₂×C₄	—	3	8	no	—
1029	C₂×C₄	—	3	2	no	—
1030	C₂×C₄	—	3	2	no	—
1031	C₂×C₄	—	3	4	no	—
1032	C₂×C₄	—	4	1	no	—
1033	C₂×C₄	—	6	8	no	—
1034	C₂×C₄	—	6	8	no	—
1035	C₂×C₄	—	6	8	no	—
1036	C₂×C₄	—	6	4	no	—
1037	C₂×C₄	—	6	8	no	—
1038	C₂×C₄	—	12	2	no	—
1039	C₂×C₄	C₃×D₃×D₄	1	4	yes	complemented
1040	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1041	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1042	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1043	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1044	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1045	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1046	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1047	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1048	C₂×C₃	—	2	4	no	—
1049	C₂×C₃	—	2	2	no	—
1050	C₂×C₃	—	2	4	no	—
1051	C₂×C₃	—	2	4	no	—
1052	C₂×C₃	—	2	2	no	—
1053	C₂×C₃	—	2	1	no	—
1054	C₂×C₃	—	2	1	no	—
1055	C₂×C₃	—	2	1	no	—
1056	C₂×C₃	—	4	4	no	—
1057	C₂×C₃	—	4	4	no	—
1058	C₂×C₃	—	4	2	no	—
1059	C₂×C₃	—	4	2	no	—
1060	C₂×C₃	—	6	4	no	—
1061	C₂×C₃	—	12	4	no	—
1062	C₂×C₃	C₂²×#235	1	1	yes	characteristic
1063	C₂×C₃	C₂²×D₃×D₄	1	1	yes	characteristic
1064	C₂×C₃	#5964	1	1	yes	characteristic
1065	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
1066	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1067	C₂×C₃	C₃×#585	1	1	yes	characteristic
1068	D₃	—	2	4	no	—
1069	D₃	—	4	4	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	2	2	no	—
1072	C₂²	—	2	1	no	—
1073	C₂²	—	2	2	no	—
1074	C₂²	—	2	2	no	—
1075	C₂²	—	2	2	no	—
1076	C₂²	—	2	2	no	—
1077	C₂²	—	3	4	no	—
1078	C₂²	—	4	8	no	—
1079	C₂²	—	6	2	no	—
1080	C₂²	—	6	2	no	—
1081	C₂²	—	6	4	no	—
1082	C₂²	—	6	4	no	—
1083	C₂²	—	6	4	no	—
1084	C₂²	—	12	16	no	—
1085	C₂²	C₂×C₃×#235	1	4	yes	complemented
1086	C₂²	C₂×C₃×D₃×D₄	1	2	yes	—
1087	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1088	C₄	—	2	1	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	2	2	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	2	1	no	—
1093	C₄	—	3	4	no	—
1094	C₄	—	6	2	no	—
1095	C₄	—	6	4	no	—
1096	C₄	—	6	2	no	—
1097	C₄	C₂×C₃×#235	1	2	yes	complemented
1098	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1099	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1100	C₃	—	2	1	no	—
1101	C₃	D₄×#235	1	1	yes	characteristic, direct product factor
1102	C₃	C₃×D₄×#41	1	1	yes	characteristic, complemented
1103	C₂	—	2	2	no	—
1104	C₂	—	2	4	no	—
1105	C₂	—	4	2	no	—
1106	C₂	—	6	4	no	—
1107	C₂	—	12	4	no	—
1108	C₂	C₂²×C₃×#235	1	1	yes	characteristic
1109	C₂	C₂²×C₃×D₃×D₄	1	1	yes	characteristic
1110	C₂	C₃×#5964	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₃×C₄	C₂³×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₂×C₃²×C₄×D₄	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₂×C₃×C₄×D₄	D₃
hypocenter	C₃	C₃×D₄×#41
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₂×C₃×C₄×D₄

Complements

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

N	H ≅ G/N	type
1. C₂²×C₃×#235	C₂	semidirect
2. C₂×C₃²×C₄×D₄	C₂	semidirect
3. C₃×D₄×#67	C₂	semidirect
4. C₃×#5791	C₂	semidirect
5. C₃×#5553	C₂	semidirect
6. C₃×#5552	C₂	semidirect
7. C₃×#5551	C₂	semidirect
8. C₃×#5550	C₂	semidirect
9. C₃×D₄×D₁₂	C₂	semidirect
10. C₃×#5548	C₂	semidirect
11. C₃×#5547	C₂	semidirect
12. C₃×C₄×D₃×D₄	C₂	semidirect
13. C₃×D₄×Dic₆	C₂	semidirect
14. C₃×#5507	C₂	semidirect
15. C₃×#5490	C₂	semidirect
16. C₃×#5477	C₂	semidirect
17. C₃×C₄×#235	C₂	semidirect
19. D₄×#235	C₃	direct (N × H)
21. C₂³×C₃²×C₄	C₂²	semidirect
22. C₂²×C₃×#67	C₂²	semidirect
26. C₂×C₃×#235	C₂²	semidirect
27. C₂×C₃×#235	C₂²	semidirect
28. C₂×C₃×#235	C₂²	semidirect
29. C₂×C₃×#235	C₂²	semidirect
30. C₂×C₃×#235	C₂²	semidirect
31. C₂²×C₃×D₁₂	C₂²	semidirect
32. C₂²×C₃×C₄×D₃	C₂²	semidirect
33. C₂²×C₃×Dic₆	C₂²	semidirect
36. C₃²×C₄×D₄	C₂²	semidirect
37. C₃²×C₄×D₄	C₂²	semidirect
38. C₃²×C₄×D₄	C₂²	semidirect
39. C₃²×C₄×D₄	C₂²	semidirect
40. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
41. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
42. C₂×C₃²×C₄²	C₂²	semidirect
43. C₃×#953	C₂²	semidirect
44. C₃×#940	C₂²	semidirect
45. C₃×#939	C₂²	semidirect
46. C₃×#938	C₂²	semidirect
47. C₃×#937	C₂²	semidirect
49. C₃×#930	C₂²	semidirect
50. C₃×#930	C₂²	semidirect
51. C₃×#930	C₂²	semidirect
52. C₃×#930	C₂²	semidirect
53. C₃×#929	C₂²	semidirect
54. C₃×C₄×#67	C₂²	semidirect
55. C₃×C₄×#67	C₂²	semidirect
56. C₃×C₄×#67	C₂²	semidirect
57. C₃×C₄×#67	C₂²	semidirect
58. C₃×#926	C₂²	semidirect
59. C₃×#924	C₂²	semidirect
60. C₃×#924	C₂²	semidirect
61. C₃×#896	C₂²	semidirect
62. C₃×#895	C₂²	semidirect
63. C₃×#894	C₂²	semidirect
64. C₃×#893	C₂²	semidirect
65. C₃×D₃×C₄⋊C₄	C₂²	semidirect
66. C₃×#888	C₂²	semidirect
67. C₃×#885	C₂²	semidirect
68. C₃×#884	C₂²	semidirect
69. C₃×#884	C₂²	semidirect
70. C₃×#883	C₂²	semidirect
71. C₃×#882	C₂²	semidirect
72. C₃×#67⋊C₄	C₂²	semidirect
73. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
74. C₃×#878	C₂²	semidirect
75. C₃×#875	C₂²	semidirect
76. C₃×#874	C₂²	semidirect
77. C₃×C₄×D₁₂	C₂²	semidirect
78. C₃×C₄×D₁₂	C₂²	semidirect
79. C₃×C₄×D₁₂	C₂²	semidirect
80. C₃×C₄×D₁₂	C₂²	semidirect
81. C₃×#872	C₂²	semidirect
82. C₃×C₄²×D₃	C₂²	semidirect
83. C₃×#869	C₂²	semidirect
84. C₃×C₄×Dic₆	C₂²	semidirect
85. C₃×C₄×Dic₆	C₂²	semidirect
87. C₂²×#235	C₂×C₃	semidirect
104. C₂×C₃×C₄×D₄	D₃	semidirect
105. C₂×C₃×C₄×D₄	C₂×C₃	semidirect
106. D₄×#67	C₂×C₃	semidirect
107. #5791	C₂×C₃	semidirect
108. #5553	C₂×C₃	semidirect
109. #5552	C₂×C₃	semidirect
110. #5551	C₂×C₃	semidirect
111. #5550	C₂×C₃	semidirect
112. D₄×D₁₂	C₂×C₃	semidirect
113. #5548	C₂×C₃	semidirect
114. #5547	C₂×C₃	semidirect
115. C₄×D₃×D₄	C₂×C₃	semidirect
116. D₄×Dic₆	C₂×C₃	semidirect
117. #5507	C₂×C₃	semidirect
118. #5490	C₂×C₃	semidirect
119. #5477	C₂×C₃	semidirect
120. C₄×#235	C₂×C₃	semidirect
150. C₃×#235	D₄	direct (N × H)
216. C₂³×C₃×C₄	C₂×D₃	semidirect
217. C₂³×C₃×C₄	C₂²×C₃	semidirect
218. C₂²×#67	C₂²×C₃	semidirect
222. C₂×#235	C₂²×C₃	semidirect
223. C₂×#235	C₂²×C₃	semidirect
224. C₂×#235	C₂²×C₃	semidirect
225. C₂×#235	C₂²×C₃	semidirect
226. C₂×#235	C₂²×C₃	semidirect
227. C₂²×D₁₂	C₂²×C₃	semidirect
228. C₂²×C₄×D₃	C₂²×C₃	semidirect
229. C₂²×Dic₆	C₂²×C₃	semidirect
276. C₃×C₄×D₄	C₂×D₃	semidirect
277. C₃×C₄×D₄	C₂×D₃	semidirect
278. C₃×C₄×D₄	C₂×D₃	semidirect
279. C₃×C₄×D₄	C₂×D₃	semidirect
282. C₃×C₄×D₄	C₂²×C₃	semidirect
283. C₃×C₄×D₄	C₂²×C₃	semidirect
284. C₃×C₄×D₄	C₂²×C₃	semidirect
285. C₃×C₄×D₄	C₂²×C₃	semidirect
290. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
291. C₂×C₃×C₄⋊C₄	C₂²×C₃	semidirect
294. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
295. C₂×C₃×C₂²⋊C₄	C₂²×C₃	semidirect
298. C₂×C₃×C₄²	C₂×D₃	semidirect
299. C₂×C₃×C₄²	C₂²×C₃	semidirect
300. #953	C₂²×C₃	semidirect
301. #940	C₂²×C₃	semidirect
302. #939	C₂²×C₃	semidirect
303. #938	C₂²×C₃	semidirect
304. #937	C₂²×C₃	semidirect
306. #930	C₂²×C₃	semidirect
307. #930	C₂²×C₃	semidirect
308. #930	C₂²×C₃	semidirect
309. #930	C₂²×C₃	semidirect
310. #929	C₂²×C₃	semidirect
311. C₄×#67	C₂²×C₃	semidirect
312. C₄×#67	C₂²×C₃	semidirect
313. C₄×#67	C₂²×C₃	semidirect
314. C₄×#67	C₂²×C₃	semidirect
315. #926	C₂²×C₃	semidirect
316. #924	C₂²×C₃	semidirect
317. #924	C₂²×C₃	semidirect
318. #896	C₂²×C₃	semidirect
319. #895	C₂²×C₃	semidirect
320. #894	C₂²×C₃	semidirect
321. #893	C₂²×C₃	semidirect
322. D₃×C₄⋊C₄	C₂²×C₃	semidirect
323. #888	C₂²×C₃	semidirect
324. #885	C₂²×C₃	semidirect
325. #884	C₂²×C₃	semidirect
326. #884	C₂²×C₃	semidirect
327. #883	C₂²×C₃	semidirect
328. #882	C₂²×C₃	semidirect
329. #67⋊C₄	C₂²×C₃	semidirect
330. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
331. #878	C₂²×C₃	semidirect
332. #875	C₂²×C₃	semidirect
333. #874	C₂²×C₃	semidirect
334. C₄×D₁₂	C₂²×C₃	semidirect
335. C₄×D₁₂	C₂²×C₃	semidirect
336. C₄×D₁₂	C₂²×C₃	semidirect
337. C₄×D₁₂	C₂²×C₃	semidirect
338. #872	C₂²×C₃	semidirect
339. C₄²×D₃	C₂²×C₃	semidirect
340. #869	C₂²×C₃	semidirect
341. C₄×Dic₆	C₂²×C₃	semidirect
342. C₄×Dic₆	C₂²×C₃	semidirect
356. C₃²×D₄	#41	semidirect
364. C₂×C₃²×C₄	C₂×D₄	semidirect
378. C₃×#67	C₂×D₄	semidirect
388. C₃×D₁₂	C₂×D₄	semidirect
394. C₃×C₄×D₃	C₂×D₄	semidirect
397. C₃×Dic₆	C₂×D₄	semidirect
414. C₂×C₄×D₄	C₃×D₃	semidirect
505. #235	C₃×D₄	direct (N × H)
605. C₂²×C₃²	C₂×#41	semidirect
621. C₃²×C₄	C₂×#41	semidirect
639. C₂³×C₄	C₂×C₃×D₃	semidirect
680. C₄×D₄	C₂×C₃×D₃	semidirect
681. C₄×D₄	C₂×C₃×D₃	semidirect
682. C₄×D₄	C₂×C₃×D₃	semidirect
683. C₄×D₄	C₂×C₃×D₃	semidirect
687. C₂×C₄⋊C₄	C₂×C₃×D₃	semidirect
689. C₂×C₂²⋊C₄	C₂×C₃×D₃	semidirect
691. C₂×C₄²	C₂×C₃×D₃	semidirect
741. C₃×D₄	#235	direct (N × H)
742. C₃×D₄	C₃×#41	semidirect
784. C₂×C₃×C₄	D₃×D₄	semidirect
785. C₂×C₃×C₄	C₂×C₃×D₄	semidirect
807. #67	C₂×C₃×D₄	semidirect
817. D₁₂	C₂×C₃×D₄	semidirect
823. C₄×D₃	C₂×C₃×D₄	semidirect
826. Dic₆	C₂×C₃×D₄	semidirect
947. C₂²×C₃	C₂×#235	semidirect
950. C₂²×C₃	C₂×C₃×#41	semidirect
982. C₃×C₄	C₂×#235	semidirect
987. C₃×C₄	C₂×C₃×#41	semidirect
992. C₃²	D₄×#41	semidirect
1020. D₄	C₃×#235	direct (N × H)
1039. C₂×C₄	C₃×D₃×D₄	semidirect
1085. C₂²	C₂×C₃×#235	semidirect
1097. C₄	C₂×C₃×#235	semidirect
1101. C₃	D₄×#235	direct (N × H)
1102. 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×#235	2
C₂×C₃²×C₄×D₄	2
C₃×D₄×#67	2
C₃×#5791	2
C₃×#5553	2
C₃×#5552	2
C₃×#5551	2
C₃×#5550	2
C₃×D₄×D₁₂	2
C₃×#5548	2
C₃×#5547	2
C₃×C₄×D₃×D₄	2
C₃×D₄×Dic₆	2
C₃×#5507	2
C₃×#5490	2
C₃×#5477	2
C₃×C₄×#235	2
C₃×D₄×#41	3
D₄×#235	3

Subgroups — C3×D4×#235 #11902757

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×D₄×#235 #11902757