Subgroups — C₂×C₃×#5613 #11901254

Order 1152.

2885 conjugacy classes of subgroups.

The subgroup lattice has 1016 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃²×#121	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×#939	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×#938	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₃×#937	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₃×#937	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₃×#936	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₃×#935	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₃×#929	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₃×C₄×#67	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5613	C₂	1	16	yes	maximal, direct product factor
11	C₂×C₃×#898	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₃×#896	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₃×#885	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₃×#67⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₃×D₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₃×#879	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₃×#538	—	3	1	no	maximal
18	C₂×#5613	C₃	1	1	yes	maximal, characteristic, direct product factor
19	C₂⁴×C₃×D₃	C₂²	1	1	yes	characteristic
20	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic
21	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic
22	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic, complemented
23	C₂³×C₃²×C₄	C₂²	1	1	yes	characteristic, complemented
24	C₂²×C₃×#67	C₂²	1	1	yes	characteristic
25	C₂²×C₃×#67	C₂²	1	1	yes	characteristic
26	C₂²×C₃×#67	C₂²	1	1	yes	characteristic
27	C₂²×C₃×#67	C₂²	1	1	yes	characteristic
28	C₂³×C₃×Dic₃	C₂²	1	1	yes	characteristic, complemented
29	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
30	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
31	C₂²×C₃×Dic₆	C₂²	1	1	yes	characteristic, complemented
32	C₃²×#121	C₂²	1	8	yes	complemented
33	C₂×C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
35	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₃×#217	C₂²	1	1	yes	characteristic
37	C₂×C₃×#217	C₂²	1	1	yes	characteristic
38	C₂×C₃×#217	C₂²	1	1	yes	characteristic
39	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
42	C₃×#939	C₂²	1	8	yes	complemented
43	C₃×#938	C₂²	1	8	yes	complemented
44	C₃×#937	C₂²	1	8	yes	complemented
45	C₃×#937	C₂²	1	8	yes	complemented
46	C₃×#936	C₂²	1	8	yes	complemented
47	C₃×#935	C₂²	1	8	yes	complemented
48	C₃×#929	C₂²	1	8	yes	complemented
49	C₃×C₄×#67	C₂²	1	8	yes	complemented
50	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
51	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
52	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
53	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
54	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
55	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
56	C₂×C₃×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₃×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₃×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₃×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₃×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
63	C₃×#898	C₂²	1	8	yes	complemented
64	C₃×#896	C₂²	1	8	yes	complemented
65	C₃×#885	C₂²	1	8	yes	complemented
66	C₃×#67⋊C₄	C₂²	1	8	yes	complemented
67	C₃×D₃×C₂²⋊C₄	C₂²	1	8	yes	complemented
68	C₃×#879	C₂²	1	8	yes	complemented
69	C₃×#538	—	3	16	no	—
70	C₂×C₃×#126	—	3	1	no	—
71	C₂×C₃×#126	—	3	1	no	—
72	C₂×C₃×#124	—	3	1	no	—
73	C₂×C₃×#124	—	3	1	no	—
74	C₂×C₃×#123	—	3	1	no	—
75	C₂×C₃×#123	—	3	1	no	—
76	C₂×C₃×C₂²⋊Q₈	—	3	1	no	—
77	C₂×C₃×#121	—	2	1	no	—
78	C₂×C₃×#121	—	3	1	no	—
79	C₂×C₃×#121	—	3	1	no	—
80	C₂×C₃×#121	D₃	1	1	yes	characteristic, complemented
81	C₂×C₃×#121	C₂×C₃	1	1	yes	characteristic, complemented
82	C₂×C₃×#120	—	3	1	no	—
83	C₂×C₃×#120	—	3	1	no	—
84	C₂×C₃×C₄×D₄	—	3	1	no	—
85	C₂×C₃×C₄×D₄	—	3	1	no	—
86	C₂²×C₃×C₂²⋊C₄	—	3	1	no	—
87	C₂×#939	C₂×C₃	1	1	yes	characteristic, complemented
88	C₂×#938	C₂×C₃	1	1	yes	characteristic, complemented
89	C₂×#937	C₂×C₃	1	1	yes	characteristic, complemented
90	C₂×#937	C₂×C₃	1	1	yes	characteristic, complemented
91	C₂×#936	C₂×C₃	1	1	yes	characteristic, complemented
92	C₂×#935	C₂×C₃	1	1	yes	characteristic, complemented
93	C₂×#929	C₂×C₃	1	1	yes	characteristic, complemented
94	C₂×C₄×#67	C₂×C₃	1	1	yes	characteristic, complemented
95	#5613	C₂×C₃	1	16	yes	direct product factor
96	C₂×#898	C₂×C₃	1	1	yes	characteristic, complemented
97	C₂×#896	C₂×C₃	1	1	yes	characteristic, complemented
98	C₂×#885	C₂×C₃	1	1	yes	characteristic, complemented
99	C₂×#67⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
100	C₂×D₃×C₂²⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
101	C₂×#879	C₂×C₃	1	1	yes	characteristic, complemented
102	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
103	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
104	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
105	C₂³×C₃×D₃	—	2	4	no	—
106	C₂³×C₃×D₃	—	4	2	no	—
107	C₂³×C₃×D₃	—	4	2	no	—
108	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
109	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
110	C₂³×C₃×D₃	C₂³	1	4	yes	—
111	C₂×C₃²×D₄	—	4	2	no	—
112	C₂×C₃²×D₄	—	4	2	no	—
113	C₂×C₃²×D₄	—	4	2	no	—
114	C₂×C₃²×D₄	C₂³	1	4	yes	—
115	C₂×C₃²×D₄	C₂³	1	4	yes	—
116	C₂×C₃²×D₄	C₂³	1	4	yes	complemented
117	C₂²×C₃²×C₄	—	4	2	no	—
118	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
119	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
120	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
121	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
122	C₂²×C₃²×C₄	C₂³	1	4	yes	complemented
123	C₂×C₃×#67	—	2	4	no	—
124	C₂×C₃×#67	—	2	4	no	—
125	C₂×C₃×#67	—	4	2	no	—
126	C₂×C₃×#67	—	4	2	no	—
127	C₂×C₃×#67	C₂³	1	4	yes	—
128	C₂×C₃×#67	C₂³	1	4	yes	—
129	C₂×C₃×#67	C₂³	1	4	yes	—
130	C₂×C₃×#67	C₂³	1	4	yes	—
131	C₂²×C₃×Dic₃	—	4	2	no	—
132	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
133	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
134	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
135	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
136	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
137	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
138	C₂²×C₃×Dic₃	C₂³	1	4	yes	complemented
139	C₂×C₃×C₄×D₃	—	4	2	no	—
140	C₂×C₃×C₄×D₃	—	4	2	no	—
141	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
142	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
143	C₂×C₃×Dic₆	—	4	2	no	—
144	C₂×C₃×Dic₆	C₂³	1	4	yes	complemented
145	C₃²×C₄⋊C₄	C₂³	1	4	yes	complemented
146	C₃²×C₂²⋊C₄	C₂³	1	4	yes	—
147	C₃²×C₂²⋊C₄	C₂³	1	4	yes	complemented
148	C₃×#217	C₂³	1	4	yes	—
149	C₃×#217	C₂³	1	4	yes	—
150	C₃×#217	C₂³	1	4	yes	—
151	C₃×#217	C₂³	1	4	yes	complemented
152	C₃×#217	C₂³	1	4	yes	complemented
153	C₃×#217	C₂³	1	4	yes	complemented
154	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
155	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
156	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
157	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
158	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
159	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
160	C₃×C₄⋊Dic₃	C₂³	1	4	yes	complemented
161	C₃×Dic₃⋊C₄	C₂³	1	4	yes	complemented
162	C₃×Dic₃⋊C₄	C₂³	1	4	yes	complemented
163	C₃×Dic₃⋊C₄	C₂³	1	4	yes	complemented
164	C₃×Dic₃⋊C₄	C₂³	1	4	yes	complemented
165	C₃×C₄×Dic₃	C₂³	1	4	yes	complemented
166	C₃×C₄×Dic₃	C₂³	1	4	yes	complemented
167	C₂×#538	—	3	1	no	Sylow
168	C₂⁵×C₃	—	3	1	no	—
169	C₂⁴×D₃	C₂²×C₃	1	1	yes	characteristic
170	C₂²×C₃×Q₈	—	3	1	no	—
171	C₂²×C₃×D₄	—	2	1	no	—
172	C₂²×C₃×D₄	—	2	1	no	—
173	C₂²×C₃×D₄	—	2	1	no	—
174	C₂²×C₃×D₄	—	3	1	no	—
175	C₂²×C₃×D₄	—	3	1	no	—
176	C₂²×C₃×D₄	—	3	1	no	—
177	C₂²×C₃×D₄	—	3	1	no	—
178	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic
179	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic
180	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic, complemented
181	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic
182	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic
183	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
184	C₂³×C₃×C₄	—	2	1	no	—
185	C₂³×C₃×C₄	—	3	1	no	—
186	C₂³×C₃×C₄	—	3	1	no	—
187	C₂³×C₃×C₄	—	3	1	no	—
188	C₂³×C₃×C₄	C₂×D₃	1	1	yes	characteristic, complemented
189	C₂³×C₃×C₄	C₂²×C₃	1	1	yes	characteristic, complemented
190	C₂²×#67	C₂²×C₃	1	1	yes	characteristic
191	C₂²×#67	C₂²×C₃	1	1	yes	characteristic
192	C₂²×#67	C₂²×C₃	1	1	yes	characteristic
193	C₂²×#67	C₂²×C₃	1	1	yes	characteristic
194	C₂³×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
195	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
196	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
197	C₂²×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
198	C₃×#126	—	3	8	no	—
199	C₃×#126	—	3	8	no	—
200	C₃×#124	—	3	8	no	—
201	C₃×#124	—	3	8	no	—
202	C₃×#123	—	3	8	no	—
203	C₃×#123	—	3	8	no	—
204	C₃×C₂²⋊Q₈	—	3	8	no	—
205	C₃×#121	—	2	8	no	—
206	C₃×#121	—	3	8	no	—
207	C₃×#121	—	3	8	no	—
208	C₃×#121	C₂×D₃	1	8	yes	complemented
209	C₃×#121	C₂²×C₃	1	8	yes	complemented
210	C₃×#120	—	3	8	no	—
211	C₃×#120	—	3	8	no	—
212	C₃×C₄×D₄	—	3	8	no	—
213	C₃×C₄×D₄	—	3	8	no	—
214	C₂×C₃×C₄⋊C₄	—	2	1	no	—
215	C₂×C₃×C₄⋊C₄	—	3	1	no	—
216	C₂×C₃×C₄⋊C₄	—	3	1	no	—
217	C₂×C₃×C₄⋊C₄	—	3	1	no	—
218	C₂×C₃×C₄⋊C₄	—	3	1	no	—
219	C₂×C₃×C₄⋊C₄	—	3	1	no	—
220	C₂×C₃×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
221	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
222	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
223	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
224	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
225	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
226	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
227	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
228	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
229	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
230	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
231	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
232	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
233	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
234	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
235	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
236	C₂×C₃×C₂²⋊C₄	—	3	8	no	—
237	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
238	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
239	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
240	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
241	C₂×C₃×C₄²	—	3	1	no	—
242	C₂×C₃×C₄²	—	3	1	no	—
243	C₂×#217	C₂²×C₃	1	1	yes	characteristic
244	C₂×#217	C₂²×C₃	1	1	yes	characteristic
245	C₂×#217	C₂²×C₃	1	1	yes	characteristic
246	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
247	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
248	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
249	#939	C₂²×C₃	1	8	yes	complemented
250	#938	C₂²×C₃	1	8	yes	complemented
251	#937	C₂²×C₃	1	8	yes	complemented
252	#937	C₂²×C₃	1	8	yes	complemented
253	#936	C₂²×C₃	1	8	yes	complemented
254	#935	C₂²×C₃	1	8	yes	complemented
255	#929	C₂²×C₃	1	8	yes	complemented
256	C₄×#67	C₂²×C₃	1	8	yes	complemented
257	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
258	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
259	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
260	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
261	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
262	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
263	C₂×C₄⋊Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
264	C₂×Dic₃⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
265	C₂×Dic₃⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
266	C₂×Dic₃⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
267	C₂×Dic₃⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
268	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
269	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
270	#898	C₂²×C₃	1	8	yes	complemented
271	#896	C₂²×C₃	1	8	yes	complemented
272	#885	C₂²×C₃	1	8	yes	complemented
273	#67⋊C₄	C₂²×C₃	1	8	yes	complemented
274	D₃×C₂²⋊C₄	C₂²×C₃	1	8	yes	complemented
275	#879	C₂²×C₃	1	8	yes	complemented
276	C₂³×C₃²	—	2	2	no	—
277	C₂³×C₃²	—	2	2	no	—
278	C₂³×C₃²	—	2	2	no	—
279	C₂³×C₃²	—	2	2	no	—
280	C₂³×C₃²	—	2	2	no	—
281	C₂³×C₃²	—	2	2	no	—
282	C₂³×C₃²	—	2	2	no	—
283	C₂³×C₃²	—	2	2	no	—
284	C₂³×C₃²	—	2	2	no	—
285	C₂³×C₃²	C₂⁴	1	2	yes	—
286	C₂³×C₃²	C₂⁴	1	2	yes	—
287	C₂³×C₃²	C₂⁴	1	2	yes	—
288	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
289	C₂²×C₃×D₃	—	2	2	no	—
290	C₂²×C₃×D₃	—	2	2	no	—
291	C₂²×C₃×D₃	—	2	2	no	—
292	C₂²×C₃×D₃	—	2	2	no	—
293	C₂²×C₃×D₃	—	2	2	no	—
294	C₂²×C₃×D₃	—	2	8	no	—
295	C₂²×C₃×D₃	—	4	4	no	—
296	C₂²×C₃×D₃	—	4	4	no	—
297	C₂²×C₃×D₃	—	4	16	no	—
298	C₂²×C₃×D₃	#41	1	4	yes	—
299	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
300	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
301	C₃²×D₄	—	4	4	no	—
302	C₃²×D₄	—	4	4	no	—
303	C₃²×D₄	—	4	4	no	—
304	C₂×C₃²×C₄	—	2	2	no	—
305	C₂×C₃²×C₄	—	2	2	no	—
306	C₂×C₃²×C₄	—	2	2	no	—
307	C₂×C₃²×C₄	—	2	2	no	—
308	C₂×C₃²×C₄	—	4	4	no	—
309	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
310	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
311	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
312	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
313	C₃×#67	—	2	8	no	—
314	C₃×#67	—	2	8	no	—
315	C₃×#67	—	4	4	no	—
316	C₃×#67	—	4	4	no	—
317	C₂×C₃×Dic₃	—	2	2	no	—
318	C₂×C₃×Dic₃	—	2	2	no	—
319	C₂×C₃×Dic₃	—	2	2	no	—
320	C₂×C₃×Dic₃	—	2	2	no	—
321	C₂×C₃×Dic₃	—	2	2	no	—
322	C₂×C₃×Dic₃	—	2	2	no	—
323	C₂×C₃×Dic₃	—	4	4	no	—
324	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
325	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
326	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
327	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
328	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
329	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
330	C₃×C₄×D₃	—	4	4	no	—
331	C₃×C₄×D₃	—	4	4	no	—
332	C₃×Dic₆	—	4	4	no	—
333	#538	—	3	16	no	—
334	C₂×#126	—	3	1	no	—
335	C₂×#126	—	3	1	no	—
336	C₂×#124	—	3	1	no	—
337	C₂×#124	—	3	1	no	—
338	C₂×#123	—	3	1	no	—
339	C₂×#123	—	3	1	no	—
340	C₂×C₂²⋊Q₈	—	3	1	no	—
341	C₂×#121	—	3	1	no	—
342	C₂×#121	—	3	1	no	—
343	C₂×#121	C₃×D₃	1	1	yes	characteristic, complemented
344	C₂×#120	—	3	1	no	—
345	C₂×#120	—	3	1	no	—
346	C₂×C₄×D₄	—	3	1	no	—
347	C₂×C₄×D₄	—	3	1	no	—
348	C₂²×C₂²⋊C₄	—	3	1	no	—
349	C₂⁴×C₃	—	2	1	no	—
350	C₂⁴×C₃	—	2	1	no	—
351	C₂⁴×C₃	—	2	1	no	—
352	C₂⁴×C₃	—	3	1	no	—
353	C₂⁴×C₃	—	3	1	no	—
354	C₂⁴×C₃	—	3	4	no	—
355	C₂⁴×C₃	—	6	4	no	—
356	C₂⁴×C₃	—	12	2	no	—
357	C₂⁴×C₃	—	12	2	no	—
358	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
359	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
360	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
361	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
362	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
363	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
364	C₂³×D₃	—	2	4	no	—
365	C₂³×D₃	—	4	2	no	—
366	C₂³×D₃	—	4	2	no	—
367	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
368	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
369	C₂³×D₃	C₂³×C₃	1	4	yes	—
370	C₂×C₃×Q₈	—	3	4	no	—
371	C₂×C₃×Q₈	—	12	2	no	—
372	C₂×C₃×D₄	—	2	4	no	—
373	C₂×C₃×D₄	—	2	4	no	—
374	C₂×C₃×D₄	—	2	4	no	—
375	C₂×C₃×D₄	—	3	4	no	—
376	C₂×C₃×D₄	—	3	4	no	—
377	C₂×C₃×D₄	—	3	4	no	—
378	C₂×C₃×D₄	—	3	4	no	—
379	C₂×C₃×D₄	—	4	2	no	—
380	C₂×C₃×D₄	—	4	2	no	—
381	C₂×C₃×D₄	—	4	2	no	—
382	C₂×C₃×D₄	—	4	2	no	—
383	C₂×C₃×D₄	—	4	2	no	—
384	C₂×C₃×D₄	—	4	2	no	—
385	C₂×C₃×D₄	—	4	4	no	—
386	C₂×C₃×D₄	—	4	4	no	—
387	C₂×C₃×D₄	—	4	4	no	—
388	C₂×C₃×D₄	—	6	4	no	—
389	C₂×C₃×D₄	—	6	4	no	—
390	C₂×C₃×D₄	—	12	2	no	—
391	C₂×C₃×D₄	—	12	2	no	—
392	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
393	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
394	C₂×C₃×D₄	C₂²×D₃	1	4	yes	complemented
395	C₂×C₃×D₄	C₂³×C₃	1	4	yes	—
396	C₂×C₃×D₄	C₂³×C₃	1	4	yes	—
397	C₂×C₃×D₄	C₂³×C₃	1	4	yes	complemented
398	C₂²×C₃×C₄	—	2	1	no	—
399	C₂²×C₃×C₄	—	2	1	no	—
400	C₂²×C₃×C₄	—	2	1	no	—
401	C₂²×C₃×C₄	—	2	1	no	—
402	C₂²×C₃×C₄	—	2	4	no	—
403	C₂²×C₃×C₄	—	3	1	no	—
404	C₂²×C₃×C₄	—	3	1	no	—
405	C₂²×C₃×C₄	—	3	1	no	—
406	C₂²×C₃×C₄	—	3	1	no	—
407	C₂²×C₃×C₄	—	3	1	no	—
408	C₂²×C₃×C₄	—	3	1	no	—
409	C₂²×C₃×C₄	—	3	4	no	—
410	C₂²×C₃×C₄	—	3	4	no	—
411	C₂²×C₃×C₄	—	3	4	no	—
412	C₂²×C₃×C₄	—	4	2	no	—
413	C₂²×C₃×C₄	—	4	2	no	—
414	C₂²×C₃×C₄	—	4	4	no	—
415	C₂²×C₃×C₄	—	12	2	no	—
416	C₂²×C₃×C₄	—	12	2	no	—
417	C₂²×C₃×C₄	—	12	2	no	—
418	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
419	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
420	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
421	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
422	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	complemented
423	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
424	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
425	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
426	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
427	C₂²×C₃×C₄	C₂³×C₃	1	4	yes	complemented
428	C₂×#67	—	2	4	no	—
429	C₂×#67	—	2	4	no	—
430	C₂×#67	—	4	2	no	—
431	C₂×#67	—	4	2	no	—
432	C₂×#67	C₂³×C₃	1	4	yes	—
433	C₂×#67	C₂³×C₃	1	4	yes	—
434	C₂×#67	C₂³×C₃	1	4	yes	—
435	C₂×#67	C₂³×C₃	1	4	yes	—
436	C₂²×Dic₃	—	4	2	no	—
437	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
438	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
439	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
440	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
441	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
442	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
443	C₂²×Dic₃	C₂³×C₃	1	4	yes	complemented
444	C₂×C₄×D₃	—	4	2	no	—
445	C₂×C₄×D₃	—	4	2	no	—
446	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
447	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
448	C₂×Dic₆	—	4	2	no	—
449	C₂×Dic₆	C₂³×C₃	1	4	yes	complemented
450	C₃×C₄⋊C₄	—	2	4	no	—
451	C₃×C₄⋊C₄	—	3	4	no	—
452	C₃×C₄⋊C₄	—	3	4	no	—
453	C₃×C₄⋊C₄	—	3	4	no	—
454	C₃×C₄⋊C₄	—	3	4	no	—
455	C₃×C₄⋊C₄	—	3	4	no	—
456	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
457	C₃×C₄⋊C₄	C₂³×C₃	1	4	yes	complemented
458	C₃×C₂²⋊C₄	—	2	4	no	—
459	C₃×C₂²⋊C₄	—	2	4	no	—
460	C₃×C₂²⋊C₄	—	3	4	no	—
461	C₃×C₂²⋊C₄	—	3	4	no	—
462	C₃×C₂²⋊C₄	—	3	4	no	—
463	C₃×C₂²⋊C₄	—	3	4	no	—
464	C₃×C₂²⋊C₄	—	3	4	no	—
465	C₃×C₂²⋊C₄	—	3	4	no	—
466	C₃×C₂²⋊C₄	—	3	4	no	—
467	C₃×C₂²⋊C₄	—	3	4	no	—
468	C₃×C₂²⋊C₄	—	3	4	no	—
469	C₃×C₂²⋊C₄	—	3	4	no	—
470	C₃×C₂²⋊C₄	—	3	4	no	—
471	C₃×C₂²⋊C₄	—	3	4	no	—
472	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
473	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
474	C₃×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
475	C₃×C₂²⋊C₄	C₂³×C₃	1	4	yes	complemented
476	C₃×C₄²	—	3	4	no	—
477	C₃×C₄²	—	3	4	no	—
478	#217	C₂³×C₃	1	4	yes	—
479	#217	C₂³×C₃	1	4	yes	—
480	#217	C₂³×C₃	1	4	yes	—
481	#217	C₂³×C₃	1	4	yes	complemented
482	#217	C₂³×C₃	1	4	yes	complemented
483	#217	C₂³×C₃	1	4	yes	complemented
484	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
485	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
486	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
487	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
488	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
489	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
490	C₄⋊Dic₃	C₂³×C₃	1	4	yes	complemented
491	Dic₃⋊C₄	C₂³×C₃	1	4	yes	complemented
492	Dic₃⋊C₄	C₂³×C₃	1	4	yes	complemented
493	Dic₃⋊C₄	C₂³×C₃	1	4	yes	complemented
494	Dic₃⋊C₄	C₂³×C₃	1	4	yes	complemented
495	C₄×Dic₃	C₂³×C₃	1	4	yes	complemented
496	C₄×Dic₃	C₂³×C₃	1	4	yes	complemented
497	C₂²×C₃²	—	2	2	no	—
498	C₂²×C₃²	—	2	2	no	—
499	C₂²×C₃²	—	2	2	no	—
500	C₂²×C₃²	—	2	2	no	—
501	C₂²×C₃²	—	2	2	no	—
502	C₂²×C₃²	—	2	2	no	—
503	C₂²×C₃²	—	2	2	no	—
504	C₂²×C₃²	—	2	2	no	—
505	C₂²×C₃²	—	2	2	no	—
506	C₂²×C₃²	—	4	4	no	—
507	C₂²×C₃²	—	4	4	no	—
508	C₂²×C₃²	—	4	4	no	—
509	C₂²×C₃²	C₂×#41	1	2	yes	—
510	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
511	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
512	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
513	C₂×C₃×D₃	—	2	8	no	—
514	C₂×C₃×D₃	—	2	2	no	—
515	C₂×C₃×D₃	—	2	2	no	—
516	C₂×C₃×D₃	—	2	2	no	—
517	C₂×C₃×D₃	—	2	2	no	—
518	C₂×C₃×D₃	—	2	2	no	—
519	C₂×C₃×D₃	—	4	16	no	—
520	C₂×C₃×D₃	—	4	4	no	—
521	C₂×C₃×D₃	C₂×#41	1	4	yes	—
522	C₃²×C₄	—	2	2	no	—
523	C₃²×C₄	—	2	2	no	—
524	C₃²×C₄	—	2	2	no	—
525	C₃²×C₄	—	2	2	no	—
526	C₃×Dic₃	—	2	2	no	—
527	C₃×Dic₃	—	2	2	no	—
528	C₃×Dic₃	—	2	2	no	—
529	C₃×Dic₃	—	2	2	no	—
530	C₃×Dic₃	—	2	2	no	—
531	C₃×Dic₃	—	2	2	no	—
532	C₂⁵	—	3	1	no	—
533	C₂²×Q₈	—	3	1	no	—
534	C₂²×D₄	—	3	1	no	—
535	C₂²×D₄	—	3	1	no	—
536	C₂²×D₄	—	3	1	no	—
537	C₂²×D₄	—	3	1	no	—
538	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic
539	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic
540	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
541	C₂³×C₄	—	3	1	no	—
542	C₂³×C₄	—	3	1	no	—
543	C₂³×C₄	—	3	1	no	—
544	C₂³×C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
545	#126	—	3	8	no	—
546	#126	—	3	8	no	—
547	#124	—	3	8	no	—
548	#124	—	3	8	no	—
549	#123	—	3	8	no	—
550	#123	—	3	8	no	—
551	C₂²⋊Q₈	—	3	8	no	—
552	#121	—	3	8	no	—
553	#121	—	3	8	no	—
554	#121	C₂×C₃×D₃	1	8	yes	complemented
555	#120	—	3	8	no	—
556	#120	—	3	8	no	—
557	C₄×D₄	—	3	8	no	—
558	C₄×D₄	—	3	8	no	—
559	C₂×C₄⋊C₄	—	3	1	no	—
560	C₂×C₄⋊C₄	—	3	1	no	—
561	C₂×C₄⋊C₄	—	3	1	no	—
562	C₂×C₄⋊C₄	—	3	1	no	—
563	C₂×C₄⋊C₄	—	3	1	no	—
564	C₂×C₄⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
565	C₂×C₂²⋊C₄	—	3	1	no	—
566	C₂×C₂²⋊C₄	—	3	1	no	—
567	C₂×C₂²⋊C₄	—	3	1	no	—
568	C₂×C₂²⋊C₄	—	3	1	no	—
569	C₂×C₂²⋊C₄	—	3	1	no	—
570	C₂×C₂²⋊C₄	—	3	1	no	—
571	C₂×C₂²⋊C₄	—	3	1	no	—
572	C₂×C₂²⋊C₄	—	3	1	no	—
573	C₂×C₂²⋊C₄	—	3	1	no	—
574	C₂×C₂²⋊C₄	—	3	1	no	—
575	C₂×C₂²⋊C₄	—	3	1	no	—
576	C₂×C₂²⋊C₄	—	3	1	no	—
577	C₂×C₂²⋊C₄	—	3	8	no	—
578	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic
579	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
580	C₂×C₄²	—	3	1	no	—
581	C₂×C₄²	—	3	1	no	—
582	C₂³×C₃	—	2	4	no	—
583	C₂³×C₃	—	2	2	no	—
584	C₂³×C₃	—	2	2	no	—
585	C₂³×C₃	—	2	2	no	—
586	C₂³×C₃	—	2	2	no	—
587	C₂³×C₃	—	2	2	no	—
588	C₂³×C₃	—	2	2	no	—
589	C₂³×C₃	—	2	2	no	—
590	C₂³×C₃	—	2	2	no	—
591	C₂³×C₃	—	2	2	no	—
592	C₂³×C₃	—	2	2	no	—
593	C₂³×C₃	—	2	2	no	—
594	C₂³×C₃	—	2	2	no	—
595	C₂³×C₃	—	2	2	no	—
596	C₂³×C₃	—	2	2	no	—
597	C₂³×C₃	—	2	2	no	—
598	C₂³×C₃	—	2	2	no	—
599	C₂³×C₃	—	2	2	no	—
600	C₂³×C₃	—	2	2	no	—
601	C₂³×C₃	—	2	1	no	—
602	C₂³×C₃	—	2	2	no	—
603	C₂³×C₃	—	2	2	no	—
604	C₂³×C₃	—	2	2	no	—
605	C₂³×C₃	—	3	4	no	—
606	C₂³×C₃	—	3	2	no	—
607	C₂³×C₃	—	3	2	no	—
608	C₂³×C₃	—	4	2	no	—
609	C₂³×C₃	—	4	2	no	—
610	C₂³×C₃	—	4	2	no	—
611	C₂³×C₃	—	4	2	no	—
612	C₂³×C₃	—	4	2	no	—
613	C₂³×C₃	—	4	2	no	—
614	C₂³×C₃	—	4	2	no	—
615	C₂³×C₃	—	4	2	no	—
616	C₂³×C₃	—	6	8	no	—
617	C₂³×C₃	—	6	2	no	—
618	C₂³×C₃	—	6	2	no	—
619	C₂³×C₃	—	6	2	no	—
620	C₂³×C₃	—	6	2	no	—
621	C₂³×C₃	—	6	2	no	—
622	C₂³×C₃	—	12	4	no	—
623	C₂³×C₃	—	12	4	no	—
624	C₂³×C₃	—	12	16	no	—
625	C₂³×C₃	C₂³×D₃	1	2	yes	—
626	C₂³×C₃	C₂³×D₃	1	2	yes	—
627	C₂³×C₃	C₂³×D₃	1	2	yes	—
628	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
629	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
630	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
631	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
632	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
633	C₂²×D₃	—	2	2	no	—
634	C₂²×D₃	—	2	2	no	—
635	C₂²×D₃	—	2	2	no	—
636	C₂²×D₃	—	2	2	no	—
637	C₂²×D₃	—	2	2	no	—
638	C₂²×D₃	—	2	8	no	—
639	C₂²×D₃	—	4	4	no	—
640	C₂²×D₃	—	4	4	no	—
641	C₂²×D₃	—	4	16	no	—
642	C₂²×D₃	C₃×#41	1	4	yes	—
643	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
644	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
645	C₃×Q₈	—	12	4	no	—
646	C₃×D₄	—	4	4	no	—
647	C₃×D₄	—	4	4	no	—
648	C₃×D₄	—	4	4	no	—
649	C₃×D₄	—	4	4	no	—
650	C₃×D₄	—	4	4	no	—
651	C₃×D₄	—	4	4	no	—
652	C₃×D₄	—	4	8	no	—
653	C₃×D₄	—	4	8	no	—
654	C₃×D₄	—	4	8	no	—
655	C₃×D₄	—	6	8	no	—
656	C₃×D₄	—	6	8	no	—
657	C₃×D₄	—	12	4	no	—
658	C₃×D₄	—	12	4	no	—
659	C₂×C₃×C₄	—	2	4	no	—
660	C₂×C₃×C₄	—	2	2	no	—
661	C₂×C₃×C₄	—	2	2	no	—
662	C₂×C₃×C₄	—	2	2	no	—
663	C₂×C₃×C₄	—	2	2	no	—
664	C₂×C₃×C₄	—	2	2	no	—
665	C₂×C₃×C₄	—	2	2	no	—
666	C₂×C₃×C₄	—	2	2	no	—
667	C₂×C₃×C₄	—	2	2	no	—
668	C₂×C₃×C₄	—	2	2	no	—
669	C₂×C₃×C₄	—	2	2	no	—
670	C₂×C₃×C₄	—	2	2	no	—
671	C₂×C₃×C₄	—	2	2	no	—
672	C₂×C₃×C₄	—	3	2	no	—
673	C₂×C₃×C₄	—	3	2	no	—
674	C₂×C₃×C₄	—	3	2	no	—
675	C₂×C₃×C₄	—	3	2	no	—
676	C₂×C₃×C₄	—	3	2	no	—
677	C₂×C₃×C₄	—	3	2	no	—
678	C₂×C₃×C₄	—	4	2	no	—
679	C₂×C₃×C₄	—	4	2	no	—
680	C₂×C₃×C₄	—	4	2	no	—
681	C₂×C₃×C₄	—	4	4	no	—
682	C₂×C₃×C₄	—	4	4	no	—
683	C₂×C₃×C₄	—	4	8	no	—
684	C₂×C₃×C₄	—	6	2	no	—
685	C₂×C₃×C₄	—	6	2	no	—
686	C₂×C₃×C₄	—	6	2	no	—
687	C₂×C₃×C₄	—	6	2	no	—
688	C₂×C₃×C₄	—	6	2	no	—
689	C₂×C₃×C₄	—	6	2	no	—
690	C₂×C₃×C₄	—	12	4	no	—
691	C₂×C₃×C₄	—	12	4	no	—
692	C₂×C₃×C₄	—	12	4	no	—
693	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
694	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
695	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
696	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
697	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
698	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
699	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
700	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
701	#67	—	2	8	no	—
702	#67	—	2	8	no	—
703	#67	—	4	4	no	—
704	#67	—	4	4	no	—
705	C₂×Dic₃	—	2	2	no	—
706	C₂×Dic₃	—	2	2	no	—
707	C₂×Dic₃	—	2	2	no	—
708	C₂×Dic₃	—	2	2	no	—
709	C₂×Dic₃	—	2	2	no	—
710	C₂×Dic₃	—	2	2	no	—
711	C₂×Dic₃	—	4	4	no	—
712	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
713	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
714	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
715	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
716	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
717	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
718	C₄×D₃	—	4	4	no	—
719	C₄×D₃	—	4	4	no	—
720	Dic₆	—	4	4	no	—
721	C₂×C₃²	—	4	2	no	—
722	C₂×C₃²	—	4	2	no	—
723	C₂×C₃²	—	4	2	no	—
724	C₂×C₃²	#538	1	4	yes	complemented
725	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
726	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
727	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
728	C₃×D₃	—	2	4	no	—
729	C₃×D₃	—	4	2	no	—
730	C₂⁴	—	3	1	no	—
731	C₂⁴	—	3	1	no	—
732	C₂⁴	—	3	4	no	—
733	C₂⁴	—	6	4	no	—
734	C₂⁴	—	12	2	no	—
735	C₂⁴	—	12	2	no	—
736	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
737	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
738	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
739	C₂×Q₈	—	3	4	no	—
740	C₂×Q₈	—	12	2	no	—
741	C₂×D₄	—	3	4	no	—
742	C₂×D₄	—	3	4	no	—
743	C₂×D₄	—	3	4	no	—
744	C₂×D₄	—	3	4	no	—
745	C₂×D₄	—	4	2	no	—
746	C₂×D₄	—	4	2	no	—
747	C₂×D₄	—	4	2	no	—
748	C₂×D₄	—	6	4	no	—
749	C₂×D₄	—	6	4	no	—
750	C₂×D₄	—	12	2	no	—
751	C₂×D₄	—	12	2	no	—
752	C₂×D₄	C₂²×C₃×D₃	1	4	yes	—
753	C₂×D₄	C₂²×C₃×D₃	1	4	yes	—
754	C₂×D₄	C₂²×C₃×D₃	1	4	yes	complemented
755	C₂²×C₄	—	3	1	no	—
756	C₂²×C₄	—	3	1	no	—
757	C₂²×C₄	—	3	1	no	—
758	C₂²×C₄	—	3	1	no	—
759	C₂²×C₄	—	3	1	no	—
760	C₂²×C₄	—	3	1	no	—
761	C₂²×C₄	—	3	4	no	—
762	C₂²×C₄	—	3	4	no	—
763	C₂²×C₄	—	3	4	no	—
764	C₂²×C₄	—	4	2	no	—
765	C₂²×C₄	—	12	2	no	—
766	C₂²×C₄	—	12	2	no	—
767	C₂²×C₄	—	12	2	no	—
768	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
769	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
770	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
771	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
772	C₂²×C₄	C₂²×C₃×D₃	1	4	yes	complemented
773	C₄⋊C₄	—	3	4	no	—
774	C₄⋊C₄	—	3	4	no	—
775	C₄⋊C₄	—	3	4	no	—
776	C₄⋊C₄	—	3	4	no	—
777	C₄⋊C₄	—	3	4	no	—
778	C₄⋊C₄	C₂²×C₃×D₃	1	4	yes	complemented
779	C₂²⋊C₄	—	3	4	no	—
780	C₂²⋊C₄	—	3	4	no	—
781	C₂²⋊C₄	—	3	4	no	—
782	C₂²⋊C₄	—	3	4	no	—
783	C₂²⋊C₄	—	3	4	no	—
784	C₂²⋊C₄	—	3	4	no	—
785	C₂²⋊C₄	—	3	4	no	—
786	C₂²⋊C₄	—	3	4	no	—
787	C₂²⋊C₄	—	3	4	no	—
788	C₂²⋊C₄	—	3	4	no	—
789	C₂²⋊C₄	—	3	4	no	—
790	C₂²⋊C₄	—	3	4	no	—
791	C₂²⋊C₄	C₂²×C₃×D₃	1	4	yes	—
792	C₂²⋊C₄	C₂²×C₃×D₃	1	4	yes	complemented
793	C₄²	—	3	4	no	—
794	C₄²	—	3	4	no	—
795	C₂²×C₃	—	2	4	no	—
796	C₂²×C₃	—	2	2	no	—
797	C₂²×C₃	—	2	2	no	—
798	C₂²×C₃	—	2	2	no	—
799	C₂²×C₃	—	2	2	no	—
800	C₂²×C₃	—	2	2	no	—
801	C₂²×C₃	—	2	2	no	—
802	C₂²×C₃	—	2	2	no	—
803	C₂²×C₃	—	2	2	no	—
804	C₂²×C₃	—	2	2	no	—
805	C₂²×C₃	—	2	2	no	—
806	C₂²×C₃	—	2	2	no	—
807	C₂²×C₃	—	2	2	no	—
808	C₂²×C₃	—	2	2	no	—
809	C₂²×C₃	—	2	2	no	—
810	C₂²×C₃	—	2	2	no	—
811	C₂²×C₃	—	2	2	no	—
812	C₂²×C₃	—	2	2	no	—
813	C₂²×C₃	—	2	2	no	—
814	C₂²×C₃	—	2	2	no	—
815	C₂²×C₃	—	2	2	no	—
816	C₂²×C₃	—	2	2	no	—
817	C₂²×C₃	—	2	1	no	—
818	C₂²×C₃	—	3	4	no	—
819	C₂²×C₃	—	4	2	no	—
820	C₂²×C₃	—	4	2	no	—
821	C₂²×C₃	—	4	2	no	—
822	C₂²×C₃	—	4	2	no	—
823	C₂²×C₃	—	4	2	no	—
824	C₂²×C₃	—	4	2	no	—
825	C₂²×C₃	—	4	2	no	—
826	C₂²×C₃	—	4	2	no	—
827	C₂²×C₃	—	4	8	no	—
828	C₂²×C₃	—	4	4	no	—
829	C₂²×C₃	—	4	4	no	—
830	C₂²×C₃	—	4	4	no	—
831	C₂²×C₃	—	4	4	no	—
832	C₂²×C₃	—	4	4	no	—
833	C₂²×C₃	—	4	4	no	—
834	C₂²×C₃	—	6	2	no	—
835	C₂²×C₃	—	6	2	no	—
836	C₂²×C₃	—	6	8	no	—
837	C₂²×C₃	—	6	2	no	—
838	C₂²×C₃	—	6	2	no	—
839	C₂²×C₃	—	6	2	no	—
840	C₂²×C₃	—	8	4	no	—
841	C₂²×C₃	—	8	4	no	—
842	C₂²×C₃	—	12	16	no	—
843	C₂²×C₃	—	12	4	no	—
844	C₂²×C₃	#1004	1	2	yes	—
845	C₂²×C₃	#1004	1	2	yes	—
846	C₂²×C₃	D₃×#41	1	2	yes	—
847	C₂²×C₃	C₂×C₃×#41	1	2	yes	—
848	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	—
849	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	—
850	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
851	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
852	C₂×D₃	—	2	2	no	—
853	C₂×D₃	—	2	2	no	—
854	C₂×D₃	—	2	8	no	—
855	C₂×D₃	—	2	2	no	—
856	C₂×D₃	—	2	2	no	—
857	C₂×D₃	—	2	2	no	—
858	C₂×D₃	—	4	16	no	—
859	C₂×D₃	—	4	4	no	—
860	C₂×D₃	C₂×C₃×#41	1	4	yes	—
861	C₃×C₄	—	2	4	no	—
862	C₃×C₄	—	2	2	no	—
863	C₃×C₄	—	2	2	no	—
864	C₃×C₄	—	2	2	no	—
865	C₃×C₄	—	2	2	no	—
866	C₃×C₄	—	2	2	no	—
867	C₃×C₄	—	2	2	no	—
868	C₃×C₄	—	2	2	no	—
869	C₃×C₄	—	2	2	no	—
870	C₃×C₄	—	4	2	no	—
871	C₃×C₄	—	4	2	no	—
872	C₃×C₄	—	4	2	no	—
873	C₃×C₄	—	6	2	no	—
874	C₃×C₄	—	6	2	no	—
875	C₃×C₄	—	6	2	no	—
876	C₃×C₄	—	6	2	no	—
877	C₃×C₄	—	6	2	no	—
878	C₃×C₄	—	6	2	no	—
879	Dic₃	—	2	2	no	—
880	Dic₃	—	2	2	no	—
881	Dic₃	—	2	2	no	—
882	Dic₃	—	2	2	no	—
883	Dic₃	—	2	2	no	—
884	Dic₃	—	2	2	no	—
885	C₃²	C₂×#538	1	1	yes	characteristic, complemented, Sylow
886	C₂³	—	2	2	no	—
887	C₂³	—	2	2	no	—
888	C₂³	—	2	2	no	—
889	C₂³	—	2	2	no	—
890	C₂³	—	2	2	no	—
891	C₂³	—	2	2	no	—
892	C₂³	—	2	2	no	—
893	C₂³	—	2	2	no	—
894	C₂³	—	2	2	no	—
895	C₂³	—	3	4	no	—
896	C₂³	—	3	2	no	—
897	C₂³	—	3	2	no	—
898	C₂³	—	6	8	no	—
899	C₂³	—	6	2	no	—
900	C₂³	—	6	2	no	—
901	C₂³	—	6	2	no	—
902	C₂³	—	6	2	no	—
903	C₂³	—	6	2	no	—
904	C₂³	—	12	4	no	—
905	C₂³	—	12	4	no	—
906	C₂³	—	12	16	no	—
907	C₂³	C₂³×C₃×D₃	1	2	yes	—
908	C₂³	C₂³×C₃×D₃	1	2	yes	—
909	C₂³	C₂³×C₃×D₃	1	2	yes	—
910	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
911	Q₈	—	12	4	no	—
912	D₄	—	4	4	no	—
913	D₄	—	4	4	no	—
914	D₄	—	4	4	no	—
915	D₄	—	6	8	no	—
916	D₄	—	6	8	no	—
917	D₄	—	12	4	no	—
918	D₄	—	12	4	no	—
919	C₂×C₄	—	2	2	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	2	no	—
922	C₂×C₄	—	2	2	no	—
923	C₂×C₄	—	3	2	no	—
924	C₂×C₄	—	3	2	no	—
925	C₂×C₄	—	3	2	no	—
926	C₂×C₄	—	3	2	no	—
927	C₂×C₄	—	3	2	no	—
928	C₂×C₄	—	3	2	no	—
929	C₂×C₄	—	4	4	no	—
930	C₂×C₄	—	6	2	no	—
931	C₂×C₄	—	6	2	no	—
932	C₂×C₄	—	6	2	no	—
933	C₂×C₄	—	6	2	no	—
934	C₂×C₄	—	6	2	no	—
935	C₂×C₄	—	6	2	no	—
936	C₂×C₄	—	12	4	no	—
937	C₂×C₄	—	12	4	no	—
938	C₂×C₄	—	12	4	no	—
939	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
940	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
941	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
942	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
943	C₂×C₃	—	2	1	no	—
944	C₂×C₃	—	2	1	no	—
945	C₂×C₃	—	2	1	no	—
946	C₂×C₃	—	2	4	no	—
947	C₂×C₃	—	4	4	no	—
948	C₂×C₃	—	4	2	no	—
949	C₂×C₃	—	4	2	no	—
950	C₂×C₃	—	4	2	no	—
951	C₂×C₃	—	4	2	no	—
952	C₂×C₃	—	4	2	no	—
953	C₂×C₃	—	4	2	no	—
954	C₂×C₃	—	6	4	no	—
955	C₂×C₃	—	8	2	no	—
956	C₂×C₃	—	8	2	no	—
957	C₂×C₃	—	12	2	no	—
958	C₂×C₃	#5613	1	4	yes	direct product factor
959	C₂×C₃	C₃×#538	1	4	yes	complemented
960	C₂×C₃	C₂×#1004	1	1	yes	characteristic
961	C₂×C₃	C₂×#1004	1	1	yes	characteristic
962	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
963	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
964	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
965	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
966	D₃	—	2	4	no	—
967	D₃	—	4	2	no	—
968	C₂²	—	2	2	no	—
969	C₂²	—	2	2	no	—
970	C₂²	—	2	2	no	—
971	C₂²	—	2	2	no	—
972	C₂²	—	2	2	no	—
973	C₂²	—	2	2	no	—
974	C₂²	—	2	2	no	—
975	C₂²	—	2	2	no	—
976	C₂²	—	2	2	no	—
977	C₂²	—	3	4	no	—
978	C₂²	—	4	4	no	—
979	C₂²	—	4	4	no	—
980	C₂²	—	4	4	no	—
981	C₂²	—	6	2	no	—
982	C₂²	—	6	2	no	—
983	C₂²	—	6	8	no	—
984	C₂²	—	6	2	no	—
985	C₂²	—	6	2	no	—
986	C₂²	—	6	2	no	—
987	C₂²	—	12	16	no	—
988	C₂²	—	12	4	no	—
989	C₂²	C₃×#1004	1	2	yes	—
990	C₂²	C₃×#1004	1	2	yes	—
991	C₂²	C₃×D₃×#41	1	2	yes	—
992	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
993	C₄	—	2	2	no	—
994	C₄	—	2	2	no	—
995	C₄	—	2	2	no	—
996	C₄	—	2	2	no	—
997	C₄	—	6	2	no	—
998	C₄	—	6	2	no	—
999	C₄	—	6	2	no	—
1000	C₄	—	6	2	no	—
1001	C₄	—	6	2	no	—
1002	C₄	—	6	2	no	—
1003	C₃	—	2	1	no	—
1004	C₃	C₂×#5613	1	1	yes	characteristic, direct product factor
1005	C₃	C₂×C₃×#538	1	1	yes	characteristic, complemented
1006	C₂	—	4	2	no	—
1007	C₂	—	4	2	no	—
1008	C₂	—	4	2	no	—
1009	C₂	—	6	4	no	—
1010	C₂	—	12	2	no	—
1011	C₂	C₃×#5613	1	4	yes	direct product factor
1012	C₂	C₂×C₃×#1004	1	1	yes	characteristic
1013	C₂	C₂×C₃×#1004	1	1	yes	characteristic
1014	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₃	C₂³×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₂×C₃²×#121	C₂
socle	C₂³×C₃²	C₂⁴
hypercenter	C₂×C₃×#121	D₃
hypocenter	C₃	C₂×C₃×#538
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂³×C₃ ◁ C₂×C₃×#121

Complements

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

N	H ≅ G/N	type
1. C₂×C₃²×#121	C₂	semidirect
2. C₂×C₃×#939	C₂	semidirect
3. C₂×C₃×#938	C₂	semidirect
4. C₂×C₃×#937	C₂	semidirect
5. C₂×C₃×#937	C₂	semidirect
6. C₂×C₃×#936	C₂	semidirect
7. C₂×C₃×#935	C₂	semidirect
8. C₂×C₃×#929	C₂	semidirect
9. C₂×C₃×C₄×#67	C₂	semidirect
10. C₃×#5613	C₂	direct (N × H)
11. C₂×C₃×#898	C₂	semidirect
12. C₂×C₃×#896	C₂	semidirect
13. C₂×C₃×#885	C₂	semidirect
14. C₂×C₃×#67⋊C₄	C₂	semidirect
15. C₂×C₃×D₃×C₂²⋊C₄	C₂	semidirect
16. C₂×C₃×#879	C₂	semidirect
18. C₂×#5613	C₃	direct (N × H)
22. C₂²×C₃²×D₄	C₂²	semidirect
23. C₂³×C₃²×C₄	C₂²	semidirect
28. C₂³×C₃×Dic₃	C₂²	semidirect
31. C₂²×C₃×Dic₆	C₂²	semidirect
32. C₃²×#121	C₂²	semidirect
33. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
35. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
39. C₂×C₃×#217	C₂²	semidirect
40. C₂×C₃×#217	C₂²	semidirect
41. C₂×C₃×#217	C₂²	semidirect
42. C₃×#939	C₂²	semidirect
43. C₃×#938	C₂²	semidirect
44. C₃×#937	C₂²	semidirect
45. C₃×#937	C₂²	semidirect
46. C₃×#936	C₂²	semidirect
47. C₃×#935	C₂²	semidirect
48. C₃×#929	C₂²	semidirect
49. C₃×C₄×#67	C₂²	semidirect
56. C₂×C₃×C₄⋊Dic₃	C₂²	semidirect
57. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
58. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
59. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
60. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
61. C₂×C₃×C₄×Dic₃	C₂²	semidirect
62. C₂×C₃×C₄×Dic₃	C₂²	semidirect
63. C₃×#898	C₂²	semidirect
64. C₃×#896	C₂²	semidirect
65. C₃×#885	C₂²	semidirect
66. C₃×#67⋊C₄	C₂²	semidirect
67. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
68. C₃×#879	C₂²	semidirect
80. C₂×C₃×#121	D₃	semidirect
81. C₂×C₃×#121	C₂×C₃	semidirect
87. C₂×#939	C₂×C₃	semidirect
88. C₂×#938	C₂×C₃	semidirect
89. C₂×#937	C₂×C₃	semidirect
90. C₂×#937	C₂×C₃	semidirect
91. C₂×#936	C₂×C₃	semidirect
92. C₂×#935	C₂×C₃	semidirect
93. C₂×#929	C₂×C₃	semidirect
94. C₂×C₄×#67	C₂×C₃	semidirect
95. #5613	C₂×C₃	direct (N × H)
96. C₂×#898	C₂×C₃	semidirect
97. C₂×#896	C₂×C₃	semidirect
98. C₂×#885	C₂×C₃	semidirect
99. C₂×#67⋊C₄	C₂×C₃	semidirect
100. C₂×D₃×C₂²⋊C₄	C₂×C₃	semidirect
101. C₂×#879	C₂×C₃	semidirect
116. C₂×C₃²×D₄	C₂³	semidirect
122. C₂²×C₃²×C₄	C₂³	semidirect
138. C₂²×C₃×Dic₃	C₂³	semidirect
144. C₂×C₃×Dic₆	C₂³	semidirect
145. C₃²×C₄⋊C₄	C₂³	semidirect
147. C₃²×C₂²⋊C₄	C₂³	semidirect
151. C₃×#217	C₂³	semidirect
152. C₃×#217	C₂³	semidirect
153. C₃×#217	C₂³	semidirect
160. C₃×C₄⋊Dic₃	C₂³	semidirect
161. C₃×Dic₃⋊C₄	C₂³	semidirect
162. C₃×Dic₃⋊C₄	C₂³	semidirect
163. C₃×Dic₃⋊C₄	C₂³	semidirect
164. C₃×Dic₃⋊C₄	C₂³	semidirect
165. C₃×C₄×Dic₃	C₂³	semidirect
166. C₃×C₄×Dic₃	C₂³	semidirect
180. C₂²×C₃×D₄	C₂×D₃	semidirect
183. C₂²×C₃×D₄	C₂²×C₃	semidirect
188. C₂³×C₃×C₄	C₂×D₃	semidirect
189. C₂³×C₃×C₄	C₂²×C₃	semidirect
194. C₂³×Dic₃	C₂²×C₃	semidirect
197. C₂²×Dic₆	C₂²×C₃	semidirect
208. C₃×#121	C₂×D₃	semidirect
209. C₃×#121	C₂²×C₃	semidirect
220. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
221. C₂×C₃×C₄⋊C₄	C₂²×C₃	semidirect
238. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
240. C₂×C₃×C₂²⋊C₄	C₂²×C₃	semidirect
246. C₂×#217	C₂²×C₃	semidirect
247. C₂×#217	C₂²×C₃	semidirect
248. C₂×#217	C₂²×C₃	semidirect
249. #939	C₂²×C₃	semidirect
250. #938	C₂²×C₃	semidirect
251. #937	C₂²×C₃	semidirect
252. #937	C₂²×C₃	semidirect
253. #936	C₂²×C₃	semidirect
254. #935	C₂²×C₃	semidirect
255. #929	C₂²×C₃	semidirect
256. C₄×#67	C₂²×C₃	semidirect
263. C₂×C₄⋊Dic₃	C₂²×C₃	semidirect
264. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
265. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
266. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
267. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
268. C₂×C₄×Dic₃	C₂²×C₃	semidirect
269. C₂×C₄×Dic₃	C₂²×C₃	semidirect
270. #898	C₂²×C₃	semidirect
271. #896	C₂²×C₃	semidirect
272. #885	C₂²×C₃	semidirect
273. #67⋊C₄	C₂²×C₃	semidirect
274. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
275. #879	C₂²×C₃	semidirect
343. C₂×#121	C₃×D₃	semidirect
394. C₂×C₃×D₄	C₂²×D₃	semidirect
397. C₂×C₃×D₄	C₂³×C₃	semidirect
422. C₂²×C₃×C₄	C₂²×D₃	semidirect
427. C₂²×C₃×C₄	C₂³×C₃	semidirect
443. C₂²×Dic₃	C₂³×C₃	semidirect
449. C₂×Dic₆	C₂³×C₃	semidirect
456. C₃×C₄⋊C₄	C₂²×D₃	semidirect
457. C₃×C₄⋊C₄	C₂³×C₃	semidirect
473. C₃×C₂²⋊C₄	C₂²×D₃	semidirect
475. C₃×C₂²⋊C₄	C₂³×C₃	semidirect
481. #217	C₂³×C₃	semidirect
482. #217	C₂³×C₃	semidirect
483. #217	C₂³×C₃	semidirect
490. C₄⋊Dic₃	C₂³×C₃	semidirect
491. Dic₃⋊C₄	C₂³×C₃	semidirect
492. Dic₃⋊C₄	C₂³×C₃	semidirect
493. Dic₃⋊C₄	C₂³×C₃	semidirect
494. Dic₃⋊C₄	C₂³×C₃	semidirect
495. C₄×Dic₃	C₂³×C₃	semidirect
496. C₄×Dic₃	C₂³×C₃	semidirect
540. C₂²×D₄	C₂×C₃×D₃	semidirect
544. C₂³×C₄	C₂×C₃×D₃	semidirect
554. #121	C₂×C₃×D₃	semidirect
564. C₂×C₄⋊C₄	C₂×C₃×D₃	semidirect
579. C₂×C₂²⋊C₄	C₂×C₃×D₃	semidirect
724. C₂×C₃²	#538	semidirect
754. C₂×D₄	C₂²×C₃×D₃	semidirect
772. C₂²×C₄	C₂²×C₃×D₃	semidirect
778. C₄⋊C₄	C₂²×C₃×D₃	semidirect
792. C₂²⋊C₄	C₂²×C₃×D₃	semidirect
885. C₃²	C₂×#538	semidirect
958. C₂×C₃	#5613	direct (N × H)
959. C₂×C₃	C₃×#538	semidirect
1004. C₃	C₂×#5613	direct (N × H)
1005. C₃	C₂×C₃×#538	semidirect
1011. C₂	C₃×#5613	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃²×#121	2
C₂×C₃×#939	2
C₂×C₃×#938	2
C₂×C₃×#937	2
C₂×C₃×#936	2
C₂×C₃×#935	2
C₂×C₃×#929	2
C₂×C₃×C₄×#67	2
C₃×#5613	2
C₂×C₃×#898	2
C₂×C₃×#896	2
C₂×C₃×#885	2
C₂×C₃×#67⋊C₄	2
C₂×C₃×D₃×C₂²⋊C₄	2
C₂×C₃×#879	2
C₂×C₃×#538	3
C₂×#5613	3

Subgroups — C2×C3×#5613 #11901254

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₃×#5613 #11901254