Subgroups — C₃×D₃×#529 #11900569

Order 1152.

2581 conjugacy classes of subgroups.

The subgroup lattice has 1427 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5706	C₂	1	2	yes	maximal, complemented
3	C₃×D₃×#126	C₂	1	2	yes	maximal, complemented
4	C₃×#5691	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×D₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5680	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×D₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×D₃×#123	C₂	1	2	yes	maximal, complemented
9	C₃×#5649	C₂	1	2	yes	maximal, complemented
10	C₃×D₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5624	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×D₃×#121	C₂	1	1	yes	maximal, characteristic
13	C₃×#5600	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5580	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×C₄×D₃×Q₈	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5557	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×C₄×D₃×D₄	C₂	1	2	yes	maximal, complemented
18	C₃×C₄×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5538	C₂	1	2	yes	maximal, complemented
20	C₃×#5528	C₂	1	2	yes	maximal, complemented
21	C₃×D₃×#117	C₂	1	2	yes	maximal, complemented
22	C₃×#5479	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₃×C₄²×D₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₃×#529	—	3	1	no	maximal
25	D₃×#529	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂×C₃×D₃×Q₈	C₂²	1	1	yes	characteristic
27	C₂×C₃×D₃×D₄	C₂²	1	2	yes	—
28	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic
29	C₂²×C₃×C₄×D₃	C₂²	1	2	yes	—
30	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
31	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
32	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
33	C₃²×#126	C₂²	1	2	yes	complemented
34	C₃²×#125	C₂²	1	1	yes	characteristic, complemented
35	C₃²×#124	C₂²	1	1	yes	characteristic, complemented
36	C₃²×#123	C₂²	1	2	yes	complemented
37	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
38	C₃²×#121	C₂²	1	1	yes	characteristic
39	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
41	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
42	C₃²×#117	C₂²	1	2	yes	complemented
43	C₂×C₃²×C₄²	C₂²	1	1	yes	characteristic, complemented
44	C₃×#947	C₂²	1	1	yes	characteristic, complemented
45	C₃×#946	C₂²	1	1	yes	characteristic, complemented
46	C₃×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
47	C₃×#939	C₂²	1	2	yes	—
48	C₃×#938	C₂²	1	1	yes	characteristic
49	C₃×#936	C₂²	1	1	yes	characteristic, complemented
50	C₃×#935	C₂²	1	2	yes	complemented
51	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
52	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
53	C₃×#930	C₂²	1	1	yes	characteristic
54	C₃×#929	C₂²	1	2	yes	complemented
55	C₃×C₄×#67	C₂²	1	2	yes	complemented
56	C₃×C₄×#67	C₂²	1	2	yes	complemented
57	C₃×C₄×#67	C₂²	1	2	yes	complemented
58	C₃×#926	C₂²	1	2	yes	complemented
59	C₃×#924	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₃×C₄×Dic₃	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	2	yes	complemented
64	C₃×#898	C₂²	1	2	yes	complemented
65	C₃×#898	C₂²	1	2	yes	complemented
66	C₃×#897	C₂²	1	1	yes	characteristic, complemented
67	C₃×#896	C₂²	1	2	yes	complemented
68	C₃×#895	C₂²	1	1	yes	characteristic
69	C₃×#894	C₂²	1	2	yes	complemented
70	C₃×#894	C₂²	1	2	yes	complemented
71	C₃×#893	C₂²	1	1	yes	characteristic, complemented
72	C₃×#893	C₂²	1	2	yes	complemented
73	C₃×#892	C₂²	1	2	yes	complemented
74	C₃×#892	C₂²	1	2	yes	complemented
75	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	—
76	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	—
77	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
78	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	—
79	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
80	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	—
81	C₃×#890	C₂²	1	1	yes	characteristic, complemented
82	C₃×#890	C₂²	1	1	yes	characteristic, complemented
83	C₃×#889	C₂²	1	2	yes	complemented
84	C₃×#889	C₂²	1	2	yes	complemented
85	C₃×#887	C₂²	1	1	yes	characteristic, complemented
86	C₃×#887	C₂²	1	2	yes	complemented
87	C₃×#886	C₂²	1	2	yes	complemented
88	C₃×#885	C₂²	1	2	yes	complemented
89	C₃×#885	C₂²	1	2	yes	complemented
90	C₃×#884	C₂²	1	2	yes	—
91	C₃×#883	C₂²	1	2	yes	complemented
92	C₃×#883	C₂²	1	2	yes	complemented
93	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
94	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
95	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
96	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
97	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
98	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
99	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
100	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
101	C₃×#879	C₂²	1	2	yes	complemented
102	C₃×#879	C₂²	1	2	yes	complemented
103	C₃×#879	C₂²	1	2	yes	complemented
104	C₃×#878	C₂²	1	2	yes	complemented
105	C₃×#877	C₂²	1	2	yes	complemented
106	C₃×#877	C₂²	1	2	yes	complemented
107	C₃×#876	C₂²	1	2	yes	complemented
108	C₃×#875	C₂²	1	1	yes	characteristic, complemented
109	C₃×C₄×D₁₂	C₂²	1	2	yes	complemented
110	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
111	C₃×#872	C₂²	1	2	yes	complemented
112	C₃×#872	C₂²	1	2	yes	complemented
113	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic
114	C₃×C₄²×D₃	C₂²	1	2	yes	—
115	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic
116	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic
117	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic
118	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic, complemented
119	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic, complemented
120	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic, complemented
121	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic, complemented
122	C₃×#870	C₂²	1	1	yes	characteristic, complemented
123	C₃×C₄×Dic₆	C₂²	1	2	yes	complemented
124	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
125	C₃×#529	—	2	1	no	—
126	C₃×#529	—	3	2	no	—
127	C₃×#529	—	3	1	no	—
128	C₃×#529	—	3	1	no	—
129	C₃×#529	—	3	2	no	—
130	C₃×#529	—	3	1	no	—
131	C₃×#529	—	3	1	no	—
132	C₃×#529	—	3	1	no	—
133	C₃×#529	—	3	2	no	—
134	C₃×#529	—	3	1	no	—
135	C₃×#529	—	3	2	no	—
136	C₃×#529	—	3	1	no	—
137	C₃×#529	D₃	1	1	yes	characteristic, direct product factor
138	C₃×#529	C₂×C₃	1	1	yes	characteristic, complemented
139	C₂×C₃×#126	—	3	2	no	—
140	C₂×C₃×#125	—	3	1	no	—
141	C₂×C₃×#124	—	3	1	no	—
142	C₂×C₃×#123	—	3	2	no	—
143	C₂×C₃×C₂²⋊Q₈	—	3	1	no	—
144	C₂×C₃×#121	—	3	1	no	—
145	C₂×C₃×C₄×Q₈	—	3	1	no	—
146	C₂×C₃×C₄×D₄	—	3	1	no	—
147	C₂×C₃×C₄×D₄	—	3	2	no	—
148	C₂×C₃×#117	—	3	2	no	—
149	C₂²×C₃×C₄²	—	3	1	no	—
150	#5706	C₂×C₃	1	2	yes	complemented
151	D₃×#126	C₂×C₃	1	2	yes	complemented
152	#5691	C₂×C₃	1	1	yes	characteristic, complemented
153	D₃×#125	C₂×C₃	1	1	yes	characteristic, complemented
154	#5680	C₂×C₃	1	1	yes	characteristic, complemented
155	D₃×#124	C₂×C₃	1	1	yes	characteristic, complemented
156	D₃×#123	C₂×C₃	1	2	yes	complemented
157	#5649	C₂×C₃	1	2	yes	complemented
158	D₃×C₂²⋊Q₈	C₂×C₃	1	1	yes	characteristic, complemented
159	#5624	C₂×C₃	1	1	yes	characteristic, complemented
160	D₃×#121	C₂×C₃	1	1	yes	characteristic
161	#5600	C₂×C₃	1	1	yes	characteristic, complemented
162	#5580	C₂×C₃	1	1	yes	characteristic, complemented
163	C₄×D₃×Q₈	C₂×C₃	1	1	yes	characteristic, complemented
164	#5557	C₂×C₃	1	1	yes	characteristic, complemented
165	C₄×D₃×D₄	C₂×C₃	1	1	yes	characteristic, complemented
166	C₄×D₃×D₄	C₂×C₃	1	2	yes	complemented
167	#5538	C₂×C₃	1	2	yes	complemented
168	#5528	C₂×C₃	1	2	yes	complemented
169	D₃×#117	C₂×C₃	1	2	yes	complemented
170	#5479	C₂×C₃	1	1	yes	characteristic, complemented
171	C₂×C₄²×D₃	C₂×C₃	1	1	yes	characteristic, complemented
172	C₂³×C₃×D₃	C₂³	1	2	yes	—
173	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
174	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
175	C₂×C₃²×D₄	C₂³	1	2	yes	—
176	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
177	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
178	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
179	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
180	C₂²×C₃²×C₄	C₂³	1	2	yes	—
181	C₂×C₃×#67	C₂³	1	2	yes	—
182	C₂×C₃×#67	C₂³	1	2	yes	—
183	C₂×C₃×#67	C₂³	1	2	yes	—
184	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
185	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
186	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
187	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
188	C₃×D₃×Q₈	—	2	4	no	—
189	C₃×D₃×D₄	—	2	8	no	—
190	C₃×D₃×D₄	—	2	4	no	—
191	C₂×C₃×D₁₂	C₂³	1	2	yes	—
192	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
193	C₂×C₃×C₄×D₃	—	2	4	no	—
194	C₂×C₃×C₄×D₃	—	2	4	no	—
195	C₂×C₃×C₄×D₃	—	2	8	no	—
196	C₂×C₃×C₄×D₃	—	2	4	no	—
197	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
198	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
199	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
200	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
201	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
202	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
203	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
204	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
205	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
206	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
207	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
208	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
209	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
210	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
211	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
212	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
213	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
214	C₂×C₃×Dic₆	C₂³	1	2	yes	—
215	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
216	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
218	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
219	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
220	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
222	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
223	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
225	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
226	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
227	C₃²×C₄²	C₂³	1	1	yes	characteristic
228	C₃²×C₄²	C₂³	1	1	yes	characteristic
229	C₃²×C₄²	C₂³	1	1	yes	characteristic
230	C₃²×C₄²	C₂³	1	1	yes	characteristic
231	C₃²×C₄²	C₂³	1	2	yes	—
232	C₃×#217	C₂³	1	2	yes	—
233	C₃×#217	C₂³	1	2	yes	—
234	C₃×#217	C₂³	1	2	yes	—
235	C₃×#217	C₂³	1	2	yes	—
236	C₃×#217	C₂³	1	2	yes	—
237	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
238	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
239	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
240	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
241	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
242	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
243	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
244	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
245	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
246	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
247	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
248	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
249	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
250	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
251	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
252	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
253	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
254	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
255	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
256	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
257	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
258	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
259	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
260	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
261	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
262	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
263	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
264	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
265	C₃×C₄×Dic₃	C₂³	1	2	yes	—
266	C₃×C₄×Dic₃	C₂³	1	2	yes	—
267	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
268	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
269	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
270	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
271	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
272	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
273	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
274	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
275	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
276	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
277	C₃×C₄×Dic₃	C₂³	1	2	yes	—
278	C₂×#529	—	3	1	no	Sylow
279	C₂²×C₃×Q₈	—	3	1	no	—
280	C₂²×C₃×D₄	—	3	2	no	—
281	C₂²×C₃×D₄	—	3	1	no	—
282	C₂³×C₃×C₄	—	3	1	no	—
283	C₂³×C₃×C₄	—	3	1	no	—
284	C₂³×C₃×C₄	—	3	1	no	—
285	C₂³×C₃×C₄	—	3	2	no	—
286	C₂×D₃×Q₈	C₂²×C₃	1	1	yes	characteristic
287	C₂×D₃×D₄	C₂²×C₃	1	2	yes	—
288	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic
289	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
290	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
291	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
292	C₂²×C₄×D₃	C₂²×C₃	1	2	yes	—
293	C₃×#126	—	2	2	no	—
294	C₃×#126	—	3	2	no	—
295	C₃×#126	—	3	2	no	—
296	C₃×#126	—	3	2	no	—
297	C₃×#126	—	3	2	no	—
298	C₃×#126	—	3	2	no	—
299	C₃×#126	—	3	2	no	—
300	C₃×#126	—	3	2	no	—
301	C₃×#126	C₂×D₃	1	2	yes	complemented
302	C₃×#126	C₂²×C₃	1	2	yes	complemented
303	C₃×#125	—	2	1	no	—
304	C₃×#125	—	3	2	no	—
305	C₃×#125	—	3	2	no	—
306	C₃×#125	—	3	1	no	—
307	C₃×#125	—	3	1	no	—
308	C₃×#125	—	3	1	no	—
309	C₃×#125	C₂×D₃	1	1	yes	characteristic, complemented
310	C₃×#125	C₂²×C₃	1	1	yes	characteristic, complemented
311	C₃×#124	—	2	1	no	—
312	C₃×#124	—	3	1	no	—
313	C₃×#124	—	3	1	no	—
314	C₃×#124	—	3	2	no	—
315	C₃×#124	—	3	2	no	—
316	C₃×#124	—	3	1	no	—
317	C₃×#124	C₂×D₃	1	1	yes	characteristic, complemented
318	C₃×#124	C₂²×C₃	1	1	yes	characteristic, complemented
319	C₃×#123	—	2	2	no	—
320	C₃×#123	—	3	2	no	—
321	C₃×#123	—	3	2	no	—
322	C₃×#123	—	3	2	no	—
323	C₃×#123	—	3	2	no	—
324	C₃×#123	—	3	2	no	—
325	C₃×#123	—	3	2	no	—
326	C₃×#123	—	3	2	no	—
327	C₃×#123	C₂×D₃	1	2	yes	complemented
328	C₃×#123	C₂²×C₃	1	2	yes	complemented
329	C₃×C₂²⋊Q₈	—	2	1	no	—
330	C₃×C₂²⋊Q₈	—	3	1	no	—
331	C₃×C₂²⋊Q₈	—	3	1	no	—
332	C₃×C₂²⋊Q₈	—	3	2	no	—
333	C₃×C₂²⋊Q₈	—	3	1	no	—
334	C₃×C₂²⋊Q₈	—	3	2	no	—
335	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
336	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
337	C₃×#121	—	2	1	no	—
338	C₃×#121	—	3	1	no	—
339	C₃×#121	—	3	2	no	—
340	C₃×#121	—	3	1	no	—
341	C₃×#121	—	3	1	no	—
342	C₃×#121	—	3	2	no	—
343	C₃×#121	C₂×D₃	1	1	yes	characteristic
344	C₃×#121	C₂²×C₃	1	1	yes	characteristic
345	C₃×C₄×Q₈	—	2	1	no	—
346	C₃×C₄×Q₈	—	3	1	no	—
347	C₃×C₄×Q₈	—	3	2	no	—
348	C₃×C₄×Q₈	—	3	1	no	—
349	C₃×C₄×Q₈	—	3	2	no	—
350	C₃×C₄×Q₈	—	3	1	no	—
351	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
352	C₃×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
353	C₃×C₄×D₄	—	2	1	no	—
354	C₃×C₄×D₄	—	2	2	no	—
355	C₃×C₄×D₄	—	3	1	no	—
356	C₃×C₄×D₄	—	3	2	no	—
357	C₃×C₄×D₄	—	3	2	no	—
358	C₃×C₄×D₄	—	3	2	no	—
359	C₃×C₄×D₄	—	3	2	no	—
360	C₃×C₄×D₄	—	3	1	no	—
361	C₃×C₄×D₄	—	3	2	no	—
362	C₃×C₄×D₄	—	3	2	no	—
363	C₃×C₄×D₄	—	3	2	no	—
364	C₃×C₄×D₄	—	3	2	no	—
365	C₃×C₄×D₄	—	3	1	no	—
366	C₃×C₄×D₄	—	3	2	no	—
367	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
368	C₃×C₄×D₄	C₂×D₃	1	2	yes	complemented
369	C₃×C₄×D₄	C₂²×C₃	1	2	yes	complemented
370	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
371	C₃×#117	—	2	2	no	—
372	C₃×#117	—	3	2	no	—
373	C₃×#117	—	3	2	no	—
374	C₃×#117	—	3	2	no	—
375	C₃×#117	—	3	2	no	—
376	C₃×#117	—	3	2	no	—
377	C₃×#117	—	3	2	no	—
378	C₃×#117	—	3	2	no	—
379	C₃×#117	C₂×D₃	1	2	yes	complemented
380	C₃×#117	C₂²×C₃	1	2	yes	complemented
381	C₂×C₃×C₄⋊C₄	—	3	2	no	—
382	C₂×C₃×C₄⋊C₄	—	3	2	no	—
383	C₂×C₃×C₄⋊C₄	—	3	1	no	—
384	C₂×C₃×C₄⋊C₄	—	3	2	no	—
385	C₂×C₃×C₄⋊C₄	—	3	1	no	—
386	C₂×C₃×C₄⋊C₄	—	3	2	no	—
387	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
388	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
389	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
390	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
391	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
392	C₂×C₃×C₄²	—	2	1	no	—
393	C₂×C₃×C₄²	—	3	1	no	—
394	C₂×C₃×C₄²	—	3	1	no	—
395	C₂×C₃×C₄²	—	3	1	no	—
396	C₂×C₃×C₄²	—	3	1	no	—
397	C₂×C₃×C₄²	—	3	1	no	—
398	C₂×C₃×C₄²	—	3	1	no	—
399	C₂×C₃×C₄²	—	3	1	no	—
400	C₂×C₃×C₄²	—	3	1	no	—
401	C₂×C₃×C₄²	—	3	1	no	—
402	C₂×C₃×C₄²	—	3	1	no	—
403	C₂×C₃×C₄²	—	3	1	no	—
404	C₂×C₃×C₄²	—	3	2	no	—
405	C₂×C₃×C₄²	C₂×D₃	1	1	yes	characteristic, complemented
406	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic, complemented
407	#947	C₂²×C₃	1	1	yes	characteristic, complemented
408	#946	C₂²×C₃	1	1	yes	characteristic, complemented
409	Q₈×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
410	#939	C₂²×C₃	1	2	yes	—
411	#938	C₂²×C₃	1	1	yes	characteristic
412	#936	C₂²×C₃	1	1	yes	characteristic, complemented
413	#935	C₂²×C₃	1	2	yes	complemented
414	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
415	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
416	#930	C₂²×C₃	1	1	yes	characteristic
417	#929	C₂²×C₃	1	2	yes	complemented
418	C₄×#67	C₂²×C₃	1	2	yes	complemented
419	C₄×#67	C₂²×C₃	1	2	yes	complemented
420	C₄×#67	C₂²×C₃	1	2	yes	complemented
421	#926	C₂²×C₃	1	2	yes	complemented
422	#924	C₂²×C₃	1	1	yes	characteristic, complemented
423	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
424	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
425	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
426	#898	C₂²×C₃	1	2	yes	complemented
427	#898	C₂²×C₃	1	2	yes	complemented
428	#898	C₂²×C₃	1	2	yes	complemented
429	#897	C₂²×C₃	1	1	yes	characteristic, complemented
430	#896	C₂²×C₃	1	2	yes	complemented
431	#895	C₂²×C₃	1	1	yes	characteristic
432	#894	C₂²×C₃	1	2	yes	complemented
433	#894	C₂²×C₃	1	2	yes	complemented
434	#893	C₂²×C₃	1	2	yes	complemented
435	#893	C₂²×C₃	1	1	yes	characteristic, complemented
436	#892	C₂²×C₃	1	2	yes	complemented
437	#892	C₂²×C₃	1	2	yes	complemented
438	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	—
439	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	—
440	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	—
441	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
442	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
443	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	—
444	#890	C₂²×C₃	1	1	yes	characteristic, complemented
445	#890	C₂²×C₃	1	1	yes	characteristic, complemented
446	#889	C₂²×C₃	1	2	yes	complemented
447	#889	C₂²×C₃	1	2	yes	complemented
448	#887	C₂²×C₃	1	2	yes	complemented
449	#887	C₂²×C₃	1	1	yes	characteristic, complemented
450	#886	C₂²×C₃	1	2	yes	complemented
451	#885	C₂²×C₃	1	2	yes	complemented
452	#885	C₂²×C₃	1	2	yes	complemented
453	#884	C₂²×C₃	1	2	yes	—
454	#883	C₂²×C₃	1	2	yes	complemented
455	#883	C₂²×C₃	1	2	yes	complemented
456	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
457	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
458	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
459	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
460	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
461	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
462	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
463	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
464	#879	C₂²×C₃	1	2	yes	complemented
465	#879	C₂²×C₃	1	2	yes	complemented
466	#879	C₂²×C₃	1	2	yes	complemented
467	#878	C₂²×C₃	1	2	yes	complemented
468	#877	C₂²×C₃	1	2	yes	complemented
469	#877	C₂²×C₃	1	2	yes	complemented
470	#876	C₂²×C₃	1	2	yes	complemented
471	#875	C₂²×C₃	1	1	yes	characteristic, complemented
472	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
473	C₄×D₁₂	C₂²×C₃	1	2	yes	complemented
474	#872	C₂²×C₃	1	2	yes	complemented
475	#872	C₂²×C₃	1	2	yes	complemented
476	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic
477	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic
478	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic
479	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic
480	C₄²×D₃	C₂²×C₃	1	2	yes	—
481	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
482	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
483	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
484	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
485	#870	C₂²×C₃	1	1	yes	characteristic, complemented
486	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
487	C₄×Dic₆	C₂²×C₃	1	2	yes	complemented
488	C₂³×C₃²	C₂⁴	1	2	yes	—
489	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
490	C₂²×C₃×D₃	—	2	2	no	—
491	C₂²×C₃×D₃	—	2	2	no	—
492	C₂²×C₃×D₃	—	2	4	no	—
493	C₂²×C₃×D₃	—	2	4	no	—
494	C₂²×C₃×D₃	—	2	4	no	—
495	C₂²×C₃×D₃	#41	1	4	yes	—
496	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
497	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
498	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
499	C₃²×Q₈	—	2	2	no	—
500	C₃²×D₄	—	2	4	no	—
501	C₃²×D₄	—	2	2	no	—
502	C₂×C₃²×C₄	—	2	2	no	—
503	C₂×C₃²×C₄	—	2	2	no	—
504	C₂×C₃²×C₄	—	2	2	no	—
505	C₂×C₃²×C₄	—	2	4	no	—
506	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
507	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
508	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
509	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
510	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
511	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
512	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
513	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
514	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
515	C₃×#67	—	2	4	no	—
516	C₃×#67	—	2	4	no	—
517	C₃×#67	—	2	4	no	—
518	C₂×C₃×Dic₃	—	2	2	no	—
519	C₂×C₃×Dic₃	—	2	2	no	—
520	C₂×C₃×Dic₃	—	2	2	no	—
521	C₂×C₃×Dic₃	—	2	4	no	—
522	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
523	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
524	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
525	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
526	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
527	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
528	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
529	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
530	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
531	C₃×D₁₂	—	2	4	no	—
532	C₃×D₁₂	—	2	2	no	—
533	C₃×C₄×D₃	—	2	2	no	—
534	C₃×C₄×D₃	—	2	2	no	—
535	C₃×C₄×D₃	—	2	2	no	—
536	C₃×C₄×D₃	—	2	2	no	—
537	C₃×C₄×D₃	—	2	4	no	—
538	C₃×C₄×D₃	—	2	2	no	—
539	C₃×C₄×D₃	—	2	2	no	—
540	C₃×C₄×D₃	—	2	4	no	—
541	C₃×C₄×D₃	—	2	4	no	—
542	C₃×C₄×D₃	—	2	2	no	—
543	C₃×C₄×D₃	—	2	2	no	—
544	C₃×C₄×D₃	—	2	4	no	—
545	C₃×C₄×D₃	—	2	2	no	—
546	C₃×C₄×D₃	—	2	2	no	—
547	C₃×C₄×D₃	—	2	4	no	—
548	C₃×C₄×D₃	#41	1	4	yes	—
549	C₃×C₄×D₃	#41	1	4	yes	—
550	C₃×Dic₆	—	2	2	no	—
551	C₃×Dic₆	—	2	4	no	—
552	#529	—	3	2	no	—
553	#529	—	3	1	no	—
554	#529	—	3	1	no	—
555	#529	—	3	2	no	—
556	#529	—	3	1	no	—
557	#529	—	3	1	no	—
558	#529	—	3	1	no	—
559	#529	—	3	2	no	—
560	#529	—	3	1	no	—
561	#529	—	3	2	no	—
562	#529	—	3	1	no	—
563	#529	C₃×D₃	1	1	yes	characteristic, direct product factor
564	C₂×#126	—	3	2	no	—
565	C₂×#125	—	3	1	no	—
566	C₂×#124	—	3	1	no	—
567	C₂×#123	—	3	2	no	—
568	C₂×C₂²⋊Q₈	—	3	1	no	—
569	C₂×#121	—	3	1	no	—
570	C₂×C₄×Q₈	—	3	1	no	—
571	C₂×C₄×D₄	—	3	2	no	—
572	C₂×C₄×D₄	—	3	1	no	—
573	C₂×#117	—	3	2	no	—
574	C₂²×C₄²	—	3	1	no	—
575	C₂⁴×C₃	—	3	1	no	—
576	C₂⁴×C₃	—	3	2	no	—
577	C₂³×D₃	C₂³×C₃	1	2	yes	—
578	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
579	C₂×C₃×Q₈	—	2	1	no	—
580	C₂×C₃×Q₈	—	3	2	no	—
581	C₂×C₃×Q₈	—	3	1	no	—
582	C₂×C₃×Q₈	—	6	4	no	—
583	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
584	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
585	C₂×C₃×D₄	—	2	2	no	—
586	C₂×C₃×D₄	—	2	1	no	—
587	C₂×C₃×D₄	—	3	2	no	—
588	C₂×C₃×D₄	—	3	2	no	—
589	C₂×C₃×D₄	—	3	2	no	—
590	C₂×C₃×D₄	—	3	2	no	—
591	C₂×C₃×D₄	—	3	1	no	—
592	C₂×C₃×D₄	—	6	4	no	—
593	C₂×C₃×D₄	—	6	8	no	—
594	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
595	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
596	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
597	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
598	C₂²×C₃×C₄	—	2	1	no	—
599	C₂²×C₃×C₄	—	2	1	no	—
600	C₂²×C₃×C₄	—	2	1	no	—
601	C₂²×C₃×C₄	—	2	2	no	—
602	C₂²×C₃×C₄	—	3	1	no	—
603	C₂²×C₃×C₄	—	3	1	no	—
604	C₂²×C₃×C₄	—	3	1	no	—
605	C₂²×C₃×C₄	—	3	1	no	—
606	C₂²×C₃×C₄	—	3	1	no	—
607	C₂²×C₃×C₄	—	3	2	no	—
608	C₂²×C₃×C₄	—	3	1	no	—
609	C₂²×C₃×C₄	—	3	1	no	—
610	C₂²×C₃×C₄	—	3	1	no	—
611	C₂²×C₃×C₄	—	3	1	no	—
612	C₂²×C₃×C₄	—	3	1	no	—
613	C₂²×C₃×C₄	—	3	1	no	—
614	C₂²×C₃×C₄	—	3	1	no	—
615	C₂²×C₃×C₄	—	3	1	no	—
616	C₂²×C₃×C₄	—	3	1	no	—
617	C₂²×C₃×C₄	—	3	2	no	—
618	C₂²×C₃×C₄	—	3	2	no	—
619	C₂²×C₃×C₄	—	3	2	no	—
620	C₂²×C₃×C₄	—	3	2	no	—
621	C₂²×C₃×C₄	—	3	1	no	—
622	C₂²×C₃×C₄	—	3	2	no	—
623	C₂²×C₃×C₄	—	6	4	no	—
624	C₂²×C₃×C₄	—	6	8	no	—
625	C₂²×C₃×C₄	—	6	4	no	—
626	C₂²×C₃×C₄	—	6	4	no	—
627	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
628	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
629	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
630	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
631	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
632	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
633	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
634	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
635	C₂×#67	C₂³×C₃	1	2	yes	—
636	C₂×#67	C₂³×C₃	1	2	yes	—
637	C₂×#67	C₂³×C₃	1	2	yes	—
638	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
639	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
640	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
641	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
642	D₃×Q₈	—	2	4	no	—
643	D₃×D₄	—	2	8	no	—
644	D₃×D₄	—	2	4	no	—
645	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
646	C₂×D₁₂	C₂³×C₃	1	2	yes	—
647	C₂×C₄×D₃	—	2	4	no	—
648	C₂×C₄×D₃	—	2	4	no	—
649	C₂×C₄×D₃	—	2	8	no	—
650	C₂×C₄×D₃	—	2	4	no	—
651	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
652	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
653	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
654	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
655	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
656	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
657	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
658	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
659	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
660	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
661	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
662	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
663	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
664	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
665	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
666	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
667	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
668	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
669	C₂×Dic₆	C₂³×C₃	1	2	yes	—
670	C₃×C₄⋊C₄	—	2	2	no	—
671	C₃×C₄⋊C₄	—	2	2	no	—
672	C₃×C₄⋊C₄	—	2	1	no	—
673	C₃×C₄⋊C₄	—	2	2	no	—
674	C₃×C₄⋊C₄	—	2	1	no	—
675	C₃×C₄⋊C₄	—	2	2	no	—
676	C₃×C₄⋊C₄	—	3	2	no	—
677	C₃×C₄⋊C₄	—	3	2	no	—
678	C₃×C₄⋊C₄	—	3	2	no	—
679	C₃×C₄⋊C₄	—	3	2	no	—
680	C₃×C₄⋊C₄	—	3	2	no	—
681	C₃×C₄⋊C₄	—	3	2	no	—
682	C₃×C₄⋊C₄	—	3	2	no	—
683	C₃×C₄⋊C₄	—	3	2	no	—
684	C₃×C₄⋊C₄	—	3	2	no	—
685	C₃×C₄⋊C₄	—	3	2	no	—
686	C₃×C₄⋊C₄	—	3	2	no	—
687	C₃×C₄⋊C₄	—	3	2	no	—
688	C₃×C₄⋊C₄	—	3	1	no	—
689	C₃×C₄⋊C₄	—	3	2	no	—
690	C₃×C₄⋊C₄	—	3	1	no	—
691	C₃×C₄⋊C₄	—	3	2	no	—
692	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
693	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
694	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
695	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
696	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
697	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
698	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
699	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
700	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
701	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
702	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
703	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
704	C₃×C₂²⋊C₄	—	2	2	no	—
705	C₃×C₂²⋊C₄	—	2	2	no	—
706	C₃×C₂²⋊C₄	—	2	2	no	—
707	C₃×C₂²⋊C₄	—	2	2	no	—
708	C₃×C₂²⋊C₄	—	2	2	no	—
709	C₃×C₂²⋊C₄	—	3	2	no	—
710	C₃×C₂²⋊C₄	—	3	2	no	—
711	C₃×C₂²⋊C₄	—	3	2	no	—
712	C₃×C₂²⋊C₄	—	3	2	no	—
713	C₃×C₂²⋊C₄	—	3	2	no	—
714	C₃×C₂²⋊C₄	—	3	2	no	—
715	C₃×C₂²⋊C₄	—	3	2	no	—
716	C₃×C₂²⋊C₄	—	3	2	no	—
717	C₃×C₂²⋊C₄	—	3	2	no	—
718	C₃×C₂²⋊C₄	—	3	2	no	—
719	C₃×C₂²⋊C₄	—	3	2	no	—
720	C₃×C₂²⋊C₄	—	3	2	no	—
721	C₃×C₂²⋊C₄	—	3	2	no	—
722	C₃×C₂²⋊C₄	—	3	2	no	—
723	C₃×C₂²⋊C₄	—	3	2	no	—
724	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
725	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
726	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
727	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
728	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
729	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
730	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
731	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
732	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
733	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
734	C₃×C₄²	—	2	1	no	—
735	C₃×C₄²	—	2	1	no	—
736	C₃×C₄²	—	2	1	no	—
737	C₃×C₄²	—	2	1	no	—
738	C₃×C₄²	—	2	2	no	—
739	C₃×C₄²	—	3	1	no	—
740	C₃×C₄²	—	3	1	no	—
741	C₃×C₄²	—	3	1	no	—
742	C₃×C₄²	—	3	1	no	—
743	C₃×C₄²	—	3	1	no	—
744	C₃×C₄²	—	3	1	no	—
745	C₃×C₄²	—	3	1	no	—
746	C₃×C₄²	—	3	1	no	—
747	C₃×C₄²	—	3	1	no	—
748	C₃×C₄²	—	3	1	no	—
749	C₃×C₄²	—	3	2	no	—
750	C₃×C₄²	—	3	2	no	—
751	C₃×C₄²	—	3	1	no	—
752	C₃×C₄²	—	3	1	no	—
753	C₃×C₄²	—	3	2	no	—
754	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
755	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
756	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
757	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
758	C₃×C₄²	C₂²×D₃	1	2	yes	—
759	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
760	C₃×C₄²	C₂³×C₃	1	2	yes	—
761	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
762	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
763	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
764	#217	C₂³×C₃	1	2	yes	—
765	#217	C₂³×C₃	1	2	yes	—
766	#217	C₂³×C₃	1	2	yes	—
767	#217	C₂³×C₃	1	2	yes	—
768	#217	C₂³×C₃	1	2	yes	—
769	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
770	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
771	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
772	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
773	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
774	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
775	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
776	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
777	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
778	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
779	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
780	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
781	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
782	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
783	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
784	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
785	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
786	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
787	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
788	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
789	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
790	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
791	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
792	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
793	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
794	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
795	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
796	C₄×Dic₃	C₂³×C₃	1	2	yes	—
797	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
798	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
799	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
800	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
801	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
802	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
803	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
804	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
805	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
806	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
807	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
808	C₄×Dic₃	C₂³×C₃	1	2	yes	—
809	C₄×Dic₃	C₂³×C₃	1	2	yes	—
810	C₂²×C₃²	—	2	1	no	—
811	C₂²×C₃²	—	2	1	no	—
812	C₂²×C₃²	—	2	2	no	—
813	C₂²×C₃²	—	2	2	no	—
814	C₂²×C₃²	—	2	2	no	—
815	C₂²×C₃²	C₂×#41	1	2	yes	—
816	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
817	C₂×C₃×D₃	—	2	1	no	—
818	C₂×C₃×D₃	—	2	1	no	—
819	C₂×C₃×D₃	—	2	8	no	—
820	C₂×C₃×D₃	—	2	2	no	—
821	C₂×C₃×D₃	—	2	2	no	—
822	C₂×C₃×D₃	—	2	2	no	—
823	C₂×C₃×D₃	—	4	8	no	—
824	C₂×C₃×D₃	C₂×#41	1	2	yes	—
825	C₂×C₃×D₃	C₂×#41	1	2	yes	—
826	C₂×C₃×D₃	C₂×#41	1	2	yes	—
827	C₂×C₃×D₃	C₂×#41	1	2	yes	—
828	C₃²×C₄	—	2	2	no	—
829	C₃²×C₄	—	2	1	no	—
830	C₃²×C₄	—	2	1	no	—
831	C₃²×C₄	—	2	1	no	—
832	C₃²×C₄	—	2	1	no	—
833	C₃²×C₄	—	2	2	no	—
834	C₃²×C₄	—	2	2	no	—
835	C₃²×C₄	C₂×#41	1	2	yes	—
836	C₃²×C₄	C₂×#41	1	2	yes	—
837	C₃×Dic₃	—	2	2	no	—
838	C₃×Dic₃	—	2	1	no	—
839	C₃×Dic₃	—	2	1	no	—
840	C₃×Dic₃	—	2	1	no	—
841	C₃×Dic₃	—	2	1	no	—
842	C₃×Dic₃	—	2	2	no	—
843	C₃×Dic₃	—	2	2	no	—
844	C₃×Dic₃	C₂×#41	1	2	yes	—
845	C₃×Dic₃	C₂×#41	1	2	yes	—
846	C₂²×Q₈	—	3	1	no	—
847	C₂²×D₄	—	3	2	no	—
848	C₂²×D₄	—	3	1	no	—
849	C₂³×C₄	—	3	2	no	—
850	C₂³×C₄	—	3	1	no	—
851	C₂³×C₄	—	3	1	no	—
852	C₂³×C₄	—	3	1	no	—
853	#126	—	3	2	no	—
854	#126	—	3	2	no	—
855	#126	—	3	2	no	—
856	#126	—	3	2	no	—
857	#126	—	3	2	no	—
858	#126	—	3	2	no	—
859	#126	—	3	2	no	—
860	#126	C₂×C₃×D₃	1	2	yes	complemented
861	#125	—	3	2	no	—
862	#125	—	3	2	no	—
863	#125	—	3	1	no	—
864	#125	—	3	1	no	—
865	#125	—	3	1	no	—
866	#125	C₂×C₃×D₃	1	1	yes	characteristic, complemented
867	#124	—	3	1	no	—
868	#124	—	3	1	no	—
869	#124	—	3	2	no	—
870	#124	—	3	2	no	—
871	#124	—	3	1	no	—
872	#124	C₂×C₃×D₃	1	1	yes	characteristic, complemented
873	#123	—	3	2	no	—
874	#123	—	3	2	no	—
875	#123	—	3	2	no	—
876	#123	—	3	2	no	—
877	#123	—	3	2	no	—
878	#123	—	3	2	no	—
879	#123	—	3	2	no	—
880	#123	C₂×C₃×D₃	1	2	yes	complemented
881	C₂²⋊Q₈	—	3	1	no	—
882	C₂²⋊Q₈	—	3	1	no	—
883	C₂²⋊Q₈	—	3	2	no	—
884	C₂²⋊Q₈	—	3	1	no	—
885	C₂²⋊Q₈	—	3	2	no	—
886	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
887	#121	—	3	1	no	—
888	#121	—	3	2	no	—
889	#121	—	3	1	no	—
890	#121	—	3	1	no	—
891	#121	—	3	2	no	—
892	#121	C₂×C₃×D₃	1	1	yes	characteristic
893	C₄×Q₈	—	3	1	no	—
894	C₄×Q₈	—	3	2	no	—
895	C₄×Q₈	—	3	1	no	—
896	C₄×Q₈	—	3	2	no	—
897	C₄×Q₈	—	3	1	no	—
898	C₄×Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
899	C₄×D₄	—	3	1	no	—
900	C₄×D₄	—	3	2	no	—
901	C₄×D₄	—	3	2	no	—
902	C₄×D₄	—	3	2	no	—
903	C₄×D₄	—	3	2	no	—
904	C₄×D₄	—	3	1	no	—
905	C₄×D₄	—	3	2	no	—
906	C₄×D₄	—	3	2	no	—
907	C₄×D₄	—	3	2	no	—
908	C₄×D₄	—	3	2	no	—
909	C₄×D₄	—	3	1	no	—
910	C₄×D₄	—	3	2	no	—
911	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
912	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
913	#117	—	3	2	no	—
914	#117	—	3	2	no	—
915	#117	—	3	2	no	—
916	#117	—	3	2	no	—
917	#117	—	3	2	no	—
918	#117	—	3	2	no	—
919	#117	—	3	2	no	—
920	#117	C₂×C₃×D₃	1	2	yes	complemented
921	C₂×C₄⋊C₄	—	3	2	no	—
922	C₂×C₄⋊C₄	—	3	2	no	—
923	C₂×C₄⋊C₄	—	3	1	no	—
924	C₂×C₄⋊C₄	—	3	2	no	—
925	C₂×C₄⋊C₄	—	3	1	no	—
926	C₂×C₄⋊C₄	—	3	2	no	—
927	C₂×C₂²⋊C₄	—	3	2	no	—
928	C₂×C₂²⋊C₄	—	3	2	no	—
929	C₂×C₂²⋊C₄	—	3	2	no	—
930	C₂×C₂²⋊C₄	—	3	2	no	—
931	C₂×C₂²⋊C₄	—	3	2	no	—
932	C₂×C₄²	—	3	1	no	—
933	C₂×C₄²	—	3	1	no	—
934	C₂×C₄²	—	3	1	no	—
935	C₂×C₄²	—	3	1	no	—
936	C₂×C₄²	—	3	2	no	—
937	C₂×C₄²	—	3	1	no	—
938	C₂×C₄²	—	3	1	no	—
939	C₂×C₄²	—	3	1	no	—
940	C₂×C₄²	—	3	1	no	—
941	C₂×C₄²	—	3	1	no	—
942	C₂×C₄²	—	3	1	no	—
943	C₂×C₄²	—	3	1	no	—
944	C₂×C₄²	C₂×C₃×D₃	1	1	yes	characteristic, complemented
945	C₂³×C₃	—	2	1	no	—
946	C₂³×C₃	—	2	2	no	—
947	C₂³×C₃	—	3	1	no	—
948	C₂³×C₃	—	3	4	no	—
949	C₂³×C₃	—	3	1	no	—
950	C₂³×C₃	—	3	2	no	—
951	C₂³×C₃	—	6	2	no	—
952	C₂³×C₃	—	6	2	no	—
953	C₂³×C₃	—	6	4	no	—
954	C₂³×C₃	—	6	4	no	—
955	C₂³×C₃	—	6	4	no	—
956	C₂³×C₃	C₂³×D₃	1	2	yes	—
957	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
958	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
959	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
960	C₂²×D₃	—	2	2	no	—
961	C₂²×D₃	—	2	2	no	—
962	C₂²×D₃	—	2	4	no	—
963	C₂²×D₃	—	2	4	no	—
964	C₂²×D₃	—	2	4	no	—
965	C₂²×D₃	C₃×#41	1	4	yes	—
966	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
967	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
968	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
969	C₃×Q₈	—	2	2	no	—
970	C₃×Q₈	—	2	2	no	—
971	C₃×Q₈	—	4	2	no	—
972	C₃×Q₈	—	6	4	no	—
973	C₃×Q₈	—	6	2	no	—
974	C₃×D₄	—	2	4	no	—
975	C₃×D₄	—	2	4	no	—
976	C₃×D₄	—	2	2	no	—
977	C₃×D₄	—	2	2	no	—
978	C₃×D₄	—	4	2	no	—
979	C₃×D₄	—	4	4	no	—
980	C₃×D₄	—	6	4	no	—
981	C₃×D₄	—	6	4	no	—
982	C₃×D₄	—	6	4	no	—
983	C₃×D₄	—	6	4	no	—
984	C₃×D₄	—	6	2	no	—
985	C₂×C₃×C₄	—	2	2	no	—
986	C₂×C₃×C₄	—	2	2	no	—
987	C₂×C₃×C₄	—	2	2	no	—
988	C₂×C₃×C₄	—	2	4	no	—
989	C₂×C₃×C₄	—	2	2	no	—
990	C₂×C₃×C₄	—	2	2	no	—
991	C₂×C₃×C₄	—	2	2	no	—
992	C₂×C₃×C₄	—	2	4	no	—
993	C₂×C₃×C₄	—	2	1	no	—
994	C₂×C₃×C₄	—	2	1	no	—
995	C₂×C₃×C₄	—	2	1	no	—
996	C₂×C₃×C₄	—	2	1	no	—
997	C₂×C₃×C₄	—	2	1	no	—
998	C₂×C₃×C₄	—	2	1	no	—
999	C₂×C₃×C₄	—	2	2	no	—
1000	C₂×C₃×C₄	—	2	2	no	—
1001	C₂×C₃×C₄	—	2	2	no	—
1002	C₂×C₃×C₄	—	3	1	no	—
1003	C₂×C₃×C₄	—	3	1	no	—
1004	C₂×C₃×C₄	—	3	4	no	—
1005	C₂×C₃×C₄	—	3	4	no	—
1006	C₂×C₃×C₄	—	3	1	no	—
1007	C₂×C₃×C₄	—	3	1	no	—
1008	C₂×C₃×C₄	—	3	1	no	—
1009	C₂×C₃×C₄	—	3	1	no	—
1010	C₂×C₃×C₄	—	3	2	no	—
1011	C₂×C₃×C₄	—	3	2	no	—
1012	C₂×C₃×C₄	—	3	2	no	—
1013	C₂×C₃×C₄	—	4	2	no	—
1014	C₂×C₃×C₄	—	4	4	no	—
1015	C₂×C₃×C₄	—	4	2	no	—
1016	C₂×C₃×C₄	—	4	2	no	—
1017	C₂×C₃×C₄	—	6	2	no	—
1018	C₂×C₃×C₄	—	6	4	no	—
1019	C₂×C₃×C₄	—	6	2	no	—
1020	C₂×C₃×C₄	—	6	2	no	—
1021	C₂×C₃×C₄	—	6	2	no	—
1022	C₂×C₃×C₄	—	6	4	no	—
1023	C₂×C₃×C₄	—	6	2	no	—
1024	C₂×C₃×C₄	—	6	2	no	—
1025	C₂×C₃×C₄	—	6	2	no	—
1026	C₂×C₃×C₄	—	6	2	no	—
1027	C₂×C₃×C₄	—	6	4	no	—
1028	C₂×C₃×C₄	—	6	4	no	—
1029	C₂×C₃×C₄	—	6	2	no	—
1030	C₂×C₃×C₄	—	6	4	no	—
1031	C₂×C₃×C₄	—	6	2	no	—
1032	C₂×C₃×C₄	—	6	2	no	—
1033	C₂×C₃×C₄	—	6	2	no	—
1034	C₂×C₃×C₄	—	6	4	no	—
1035	C₂×C₃×C₄	—	6	2	no	—
1036	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1037	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1038	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1039	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1040	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1041	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1042	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1043	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1044	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1045	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1046	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1047	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1048	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1049	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1050	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1051	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1052	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1053	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1054	#67	—	2	4	no	—
1055	#67	—	2	4	no	—
1056	#67	—	2	4	no	—
1057	C₂×Dic₃	—	2	2	no	—
1058	C₂×Dic₃	—	2	2	no	—
1059	C₂×Dic₃	—	2	2	no	—
1060	C₂×Dic₃	—	2	4	no	—
1061	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1062	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1063	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1064	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1065	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1066	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1067	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1068	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1069	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1070	D₁₂	—	2	4	no	—
1071	D₁₂	—	2	2	no	—
1072	C₄×D₃	—	2	2	no	—
1073	C₄×D₃	—	2	2	no	—
1074	C₄×D₃	—	2	2	no	—
1075	C₄×D₃	—	2	2	no	—
1076	C₄×D₃	—	2	2	no	—
1077	C₄×D₃	—	2	2	no	—
1078	C₄×D₃	—	2	4	no	—
1079	C₄×D₃	—	2	4	no	—
1080	C₄×D₃	—	2	4	no	—
1081	C₄×D₃	—	2	2	no	—
1082	C₄×D₃	—	2	2	no	—
1083	C₄×D₃	—	2	4	no	—
1084	C₄×D₃	—	2	2	no	—
1085	C₄×D₃	—	2	2	no	—
1086	C₄×D₃	—	2	4	no	—
1087	C₄×D₃	C₃×#41	1	4	yes	—
1088	C₄×D₃	C₃×#41	1	4	yes	—
1089	Dic₆	—	2	2	no	—
1090	Dic₆	—	2	4	no	—
1091	C₂×C₃²	—	2	2	no	—
1092	C₂×C₃²	—	4	2	no	—
1093	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1094	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1095	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1096	C₃×D₃	—	2	2	no	—
1097	C₃×D₃	—	4	2	no	—
1098	C₃×D₃	#529	1	4	yes	direct product factor
1099	C₂⁴	—	3	1	no	—
1100	C₂⁴	—	3	2	no	—
1101	C₂×Q₈	—	3	2	no	—
1102	C₂×Q₈	—	3	1	no	—
1103	C₂×Q₈	—	6	4	no	—
1104	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1105	C₂×D₄	—	3	2	no	—
1106	C₂×D₄	—	3	2	no	—
1107	C₂×D₄	—	3	2	no	—
1108	C₂×D₄	—	3	2	no	—
1109	C₂×D₄	—	3	1	no	—
1110	C₂×D₄	—	6	4	no	—
1111	C₂×D₄	—	6	8	no	—
1112	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1113	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1114	C₂²×C₄	—	3	1	no	—
1115	C₂²×C₄	—	3	1	no	—
1116	C₂²×C₄	—	3	1	no	—
1117	C₂²×C₄	—	3	1	no	—
1118	C₂²×C₄	—	3	1	no	—
1119	C₂²×C₄	—	3	2	no	—
1120	C₂²×C₄	—	3	1	no	—
1121	C₂²×C₄	—	3	1	no	—
1122	C₂²×C₄	—	3	1	no	—
1123	C₂²×C₄	—	3	1	no	—
1124	C₂²×C₄	—	3	1	no	—
1125	C₂²×C₄	—	3	1	no	—
1126	C₂²×C₄	—	3	1	no	—
1127	C₂²×C₄	—	3	1	no	—
1128	C₂²×C₄	—	3	1	no	—
1129	C₂²×C₄	—	3	1	no	—
1130	C₂²×C₄	—	3	2	no	—
1131	C₂²×C₄	—	3	2	no	—
1132	C₂²×C₄	—	3	2	no	—
1133	C₂²×C₄	—	3	2	no	—
1134	C₂²×C₄	—	3	2	no	—
1135	C₂²×C₄	—	6	4	no	—
1136	C₂²×C₄	—	6	8	no	—
1137	C₂²×C₄	—	6	4	no	—
1138	C₂²×C₄	—	6	4	no	—
1139	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1140	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1141	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1142	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1143	C₄⋊C₄	—	3	2	no	—
1144	C₄⋊C₄	—	3	2	no	—
1145	C₄⋊C₄	—	3	2	no	—
1146	C₄⋊C₄	—	3	2	no	—
1147	C₄⋊C₄	—	3	2	no	—
1148	C₄⋊C₄	—	3	2	no	—
1149	C₄⋊C₄	—	3	2	no	—
1150	C₄⋊C₄	—	3	1	no	—
1151	C₄⋊C₄	—	3	2	no	—
1152	C₄⋊C₄	—	3	2	no	—
1153	C₄⋊C₄	—	3	2	no	—
1154	C₄⋊C₄	—	3	2	no	—
1155	C₄⋊C₄	—	3	1	no	—
1156	C₄⋊C₄	—	3	2	no	—
1157	C₄⋊C₄	—	3	2	no	—
1158	C₄⋊C₄	—	3	2	no	—
1159	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1160	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1161	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1162	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1163	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1164	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1165	C₂²⋊C₄	—	3	2	no	—
1166	C₂²⋊C₄	—	3	2	no	—
1167	C₂²⋊C₄	—	3	2	no	—
1168	C₂²⋊C₄	—	3	2	no	—
1169	C₂²⋊C₄	—	3	2	no	—
1170	C₂²⋊C₄	—	3	2	no	—
1171	C₂²⋊C₄	—	3	2	no	—
1172	C₂²⋊C₄	—	3	2	no	—
1173	C₂²⋊C₄	—	3	2	no	—
1174	C₂²⋊C₄	—	3	2	no	—
1175	C₂²⋊C₄	—	3	2	no	—
1176	C₂²⋊C₄	—	3	2	no	—
1177	C₂²⋊C₄	—	3	2	no	—
1178	C₂²⋊C₄	—	3	2	no	—
1179	C₂²⋊C₄	—	3	2	no	—
1180	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1181	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1182	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1183	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1184	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1185	C₄²	—	3	1	no	—
1186	C₄²	—	3	1	no	—
1187	C₄²	—	3	1	no	—
1188	C₄²	—	3	1	no	—
1189	C₄²	—	3	1	no	—
1190	C₄²	—	3	1	no	—
1191	C₄²	—	3	1	no	—
1192	C₄²	—	3	1	no	—
1193	C₄²	—	3	1	no	—
1194	C₄²	—	3	1	no	—
1195	C₄²	—	3	1	no	—
1196	C₄²	—	3	1	no	—
1197	C₄²	—	3	2	no	—
1198	C₄²	—	3	2	no	—
1199	C₄²	—	3	2	no	—
1200	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1201	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1202	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1203	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1204	C₄²	C₂²×C₃×D₃	1	2	yes	—
1205	C₂²×C₃	—	2	1	no	—
1206	C₂²×C₃	—	2	1	no	—
1207	C₂²×C₃	—	2	1	no	—
1208	C₂²×C₃	—	2	1	no	—
1209	C₂²×C₃	—	2	2	no	—
1210	C₂²×C₃	—	2	2	no	—
1211	C₂²×C₃	—	2	2	no	—
1212	C₂²×C₃	—	2	2	no	—
1213	C₂²×C₃	—	2	2	no	—
1214	C₂²×C₃	—	2	2	no	—
1215	C₂²×C₃	—	2	2	no	—
1216	C₂²×C₃	—	2	1	no	—
1217	C₂²×C₃	—	3	2	no	—
1218	C₂²×C₃	—	3	2	no	—
1219	C₂²×C₃	—	3	2	no	—
1220	C₂²×C₃	—	3	2	no	—
1221	C₂²×C₃	—	4	1	no	—
1222	C₂²×C₃	—	4	1	no	—
1223	C₂²×C₃	—	4	2	no	—
1224	C₂²×C₃	—	4	2	no	—
1225	C₂²×C₃	—	4	2	no	—
1226	C₂²×C₃	—	6	8	no	—
1227	C₂²×C₃	—	6	1	no	—
1228	C₂²×C₃	—	6	1	no	—
1229	C₂²×C₃	—	6	2	no	—
1230	C₂²×C₃	—	6	2	no	—
1231	C₂²×C₃	—	6	2	no	—
1232	C₂²×C₃	—	12	8	no	—
1233	C₂²×C₃	D₃×#41	1	2	yes	—
1234	C₂²×C₃	C₂×C₃×#41	1	2	yes	—
1235	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1236	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1237	C₂×D₃	—	2	1	no	—
1238	C₂×D₃	—	2	1	no	—
1239	C₂×D₃	—	2	8	no	—
1240	C₂×D₃	—	2	2	no	—
1241	C₂×D₃	—	2	2	no	—
1242	C₂×D₃	—	2	2	no	—
1243	C₂×D₃	—	4	8	no	—
1244	C₂×D₃	C₂×C₃×#41	1	2	yes	—
1245	C₂×D₃	C₂×C₃×#41	1	2	yes	—
1246	C₂×D₃	C₂×C₃×#41	1	2	yes	—
1247	C₂×D₃	C₂×C₃×#41	1	2	yes	—
1248	C₃×C₄	—	2	1	no	—
1249	C₃×C₄	—	2	1	no	—
1250	C₃×C₄	—	2	1	no	—
1251	C₃×C₄	—	2	1	no	—
1252	C₃×C₄	—	2	2	no	—
1253	C₃×C₄	—	2	2	no	—
1254	C₃×C₄	—	2	2	no	—
1255	C₃×C₄	—	2	2	no	—
1256	C₃×C₄	—	2	1	no	—
1257	C₃×C₄	—	2	1	no	—
1258	C₃×C₄	—	2	1	no	—
1259	C₃×C₄	—	2	1	no	—
1260	C₃×C₄	—	2	2	no	—
1261	C₃×C₄	—	2	2	no	—
1262	C₃×C₄	—	2	2	no	—
1263	C₃×C₄	—	2	2	no	—
1264	C₃×C₄	—	3	2	no	—
1265	C₃×C₄	—	3	2	no	—
1266	C₃×C₄	—	4	1	no	—
1267	C₃×C₄	—	4	1	no	—
1268	C₃×C₄	—	4	2	no	—
1269	C₃×C₄	—	4	1	no	—
1270	C₃×C₄	—	4	1	no	—
1271	C₃×C₄	—	4	2	no	—
1272	C₃×C₄	—	4	2	no	—
1273	C₃×C₄	—	6	1	no	—
1274	C₃×C₄	—	6	1	no	—
1275	C₃×C₄	—	6	1	no	—
1276	C₃×C₄	—	6	1	no	—
1277	C₃×C₄	—	6	2	no	—
1278	C₃×C₄	—	6	2	no	—
1279	C₃×C₄	—	6	2	no	—
1280	C₃×C₄	D₃×#41	1	2	yes	—
1281	C₃×C₄	D₃×#41	1	2	yes	—
1282	C₃×C₄	C₂×C₃×#41	1	2	yes	—
1283	C₃×C₄	C₂×C₃×#41	1	2	yes	—
1284	Dic₃	—	2	2	no	—
1285	Dic₃	—	2	1	no	—
1286	Dic₃	—	2	1	no	—
1287	Dic₃	—	2	1	no	—
1288	Dic₃	—	2	1	no	—
1289	Dic₃	—	2	2	no	—
1290	Dic₃	—	2	2	no	—
1291	Dic₃	C₂×C₃×#41	1	2	yes	—
1292	Dic₃	C₂×C₃×#41	1	2	yes	—
1293	C₃²	C₂×#529	1	1	yes	characteristic, complemented, Sylow
1294	C₂³	—	3	1	no	—
1295	C₂³	—	3	4	no	—
1296	C₂³	—	3	1	no	—
1297	C₂³	—	3	2	no	—
1298	C₂³	—	6	2	no	—
1299	C₂³	—	6	2	no	—
1300	C₂³	—	6	4	no	—
1301	C₂³	—	6	4	no	—
1302	C₂³	—	6	4	no	—
1303	C₂³	C₂³×C₃×D₃	1	2	yes	—
1304	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1305	Q₈	—	2	2	no	—
1306	Q₈	—	6	4	no	—
1307	Q₈	—	6	2	no	—
1308	D₄	—	2	4	no	—
1309	D₄	—	2	2	no	—
1310	D₄	—	6	4	no	—
1311	D₄	—	6	4	no	—
1312	D₄	—	6	4	no	—
1313	D₄	—	6	4	no	—
1314	D₄	—	6	2	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	2	no	—
1317	C₂×C₄	—	2	4	no	—
1318	C₂×C₄	—	2	2	no	—
1319	C₂×C₄	—	3	1	no	—
1320	C₂×C₄	—	3	1	no	—
1321	C₂×C₄	—	3	4	no	—
1322	C₂×C₄	—	3	4	no	—
1323	C₂×C₄	—	3	1	no	—
1324	C₂×C₄	—	3	1	no	—
1325	C₂×C₄	—	3	1	no	—
1326	C₂×C₄	—	3	1	no	—
1327	C₂×C₄	—	3	2	no	—
1328	C₂×C₄	—	3	2	no	—
1329	C₂×C₄	—	3	2	no	—
1330	C₂×C₄	—	6	2	no	—
1331	C₂×C₄	—	6	4	no	—
1332	C₂×C₄	—	6	2	no	—
1333	C₂×C₄	—	6	2	no	—
1334	C₂×C₄	—	6	2	no	—
1335	C₂×C₄	—	6	4	no	—
1336	C₂×C₄	—	6	2	no	—
1337	C₂×C₄	—	6	2	no	—
1338	C₂×C₄	—	6	2	no	—
1339	C₂×C₄	—	6	2	no	—
1340	C₂×C₄	—	6	4	no	—
1341	C₂×C₄	—	6	4	no	—
1342	C₂×C₄	—	6	2	no	—
1343	C₂×C₄	—	6	4	no	—
1344	C₂×C₄	—	6	2	no	—
1345	C₂×C₄	—	6	2	no	—
1346	C₂×C₄	—	6	2	no	—
1347	C₂×C₄	—	6	4	no	—
1348	C₂×C₄	—	6	2	no	—
1349	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1350	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1351	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1352	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1353	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1354	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1355	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1356	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1357	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1358	C₂×C₃	—	2	2	no	—
1359	C₂×C₃	—	2	2	no	—
1360	C₂×C₃	—	2	1	no	—
1361	C₂×C₃	—	2	1	no	—
1362	C₂×C₃	—	2	1	no	—
1363	C₂×C₃	—	3	4	no	—
1364	C₂×C₃	—	4	2	no	—
1365	C₂×C₃	—	4	2	no	—
1366	C₂×C₃	—	4	2	no	—
1367	C₂×C₃	—	6	2	no	—
1368	C₂×C₃	—	8	2	no	—
1369	C₂×C₃	—	12	2	no	—
1370	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1371	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1372	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1373	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1374	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1375	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1376	D₃	—	2	2	no	—
1377	D₃	—	4	2	no	—
1378	D₃	C₃×#529	1	4	yes	direct product factor
1379	C₂²	—	2	1	no	—
1380	C₂²	—	2	1	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	3	2	no	—
1385	C₂²	—	3	2	no	—
1386	C₂²	—	3	2	no	—
1387	C₂²	—	3	2	no	—
1388	C₂²	—	6	8	no	—
1389	C₂²	—	6	1	no	—
1390	C₂²	—	6	1	no	—
1391	C₂²	—	6	2	no	—
1392	C₂²	—	6	2	no	—
1393	C₂²	—	6	2	no	—
1394	C₂²	—	12	8	no	—
1395	C₂²	C₃×D₃×#41	1	2	yes	—
1396	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	2	1	no	—
1400	C₄	—	2	1	no	—
1401	C₄	—	2	2	no	—
1402	C₄	—	2	2	no	—
1403	C₄	—	2	2	no	—
1404	C₄	—	3	2	no	—
1405	C₄	—	3	2	no	—
1406	C₄	—	6	1	no	—
1407	C₄	—	6	1	no	—
1408	C₄	—	6	1	no	—
1409	C₄	—	6	1	no	—
1410	C₄	—	6	2	no	—
1411	C₄	—	6	2	no	—
1412	C₄	—	6	2	no	—
1413	C₄	C₃×D₃×#41	1	2	yes	—
1414	C₄	C₃×D₃×#41	1	2	yes	—
1415	C₃	—	2	1	no	—
1416	C₃	D₃×#529	1	1	yes	characteristic, direct product factor
1417	C₃	C₂×C₃×#529	1	1	yes	characteristic, complemented
1418	C₂	—	2	2	no	—
1419	C₂	—	3	4	no	—
1420	C₂	—	4	2	no	—
1421	C₂	—	6	2	no	—
1422	C₂	—	12	2	no	—
1423	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1424	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1425	C₂	C₂×C₃×D₃×#41	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	C₃²×#529	C₂
socle	C₂²×C₃²	C₂⁵
prime radical	C₃×D₃×#121	C₂
hypercenter	C₃×#529	D₃
hypocenter	C₃	C₂×C₃×#529
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₃×#529

Complements

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

N	H ≅ G/N	type
1. C₃²×#529	C₂	semidirect
2. C₃×#5706	C₂	semidirect
3. C₃×D₃×#126	C₂	semidirect
4. C₃×#5691	C₂	semidirect
5. C₃×D₃×#125	C₂	semidirect
6. C₃×#5680	C₂	semidirect
7. C₃×D₃×#124	C₂	semidirect
8. C₃×D₃×#123	C₂	semidirect
9. C₃×#5649	C₂	semidirect
10. C₃×D₃×C₂²⋊Q₈	C₂	semidirect
11. C₃×#5624	C₂	semidirect
13. C₃×#5600	C₂	semidirect
14. C₃×#5580	C₂	semidirect
15. C₃×C₄×D₃×Q₈	C₂	semidirect
16. C₃×#5557	C₂	semidirect
17. C₃×C₄×D₃×D₄	C₂	semidirect
18. C₃×C₄×D₃×D₄	C₂	semidirect
19. C₃×#5538	C₂	semidirect
20. C₃×#5528	C₂	semidirect
21. C₃×D₃×#117	C₂	semidirect
22. C₃×#5479	C₂	semidirect
23. C₂×C₃×C₄²×D₃	C₂	semidirect
25. D₃×#529	C₃	direct (N × H)
33. C₃²×#126	C₂²	semidirect
34. C₃²×#125	C₂²	semidirect
35. C₃²×#124	C₂²	semidirect
36. C₃²×#123	C₂²	semidirect
37. C₃²×C₂²⋊Q₈	C₂²	semidirect
39. C₃²×C₄×Q₈	C₂²	semidirect
40. C₃²×C₄×D₄	C₂²	semidirect
41. C₃²×C₄×D₄	C₂²	semidirect
42. C₃²×#117	C₂²	semidirect
43. C₂×C₃²×C₄²	C₂²	semidirect
44. C₃×#947	C₂²	semidirect
45. C₃×#946	C₂²	semidirect
46. C₃×Q₈×Dic₃	C₂²	semidirect
49. C₃×#936	C₂²	semidirect
50. C₃×#935	C₂²	semidirect
51. C₃×D₄×Dic₃	C₂²	semidirect
52. C₃×D₄×Dic₃	C₂²	semidirect
54. C₃×#929	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. C₂×C₃×C₄×Dic₃	C₂²	semidirect
61. C₂×C₃×C₄×Dic₃	C₂²	semidirect
62. C₂×C₃×C₄×Dic₃	C₂²	semidirect
63. C₃×#898	C₂²	semidirect
64. C₃×#898	C₂²	semidirect
65. C₃×#898	C₂²	semidirect
66. C₃×#897	C₂²	semidirect
67. C₃×#896	C₂²	semidirect
69. C₃×#894	C₂²	semidirect
70. C₃×#894	C₂²	semidirect
71. C₃×#893	C₂²	semidirect
72. C₃×#893	C₂²	semidirect
73. C₃×#892	C₂²	semidirect
74. C₃×#892	C₂²	semidirect
81. C₃×#890	C₂²	semidirect
82. C₃×#890	C₂²	semidirect
83. C₃×#889	C₂²	semidirect
84. C₃×#889	C₂²	semidirect
85. C₃×#887	C₂²	semidirect
86. C₃×#887	C₂²	semidirect
87. C₃×#886	C₂²	semidirect
88. C₃×#885	C₂²	semidirect
89. C₃×#885	C₂²	semidirect
91. C₃×#883	C₂²	semidirect
92. C₃×#883	C₂²	semidirect
93. C₃×#67⋊C₄	C₂²	semidirect
94. C₃×#67⋊C₄	C₂²	semidirect
95. C₃×#67⋊C₄	C₂²	semidirect
101. C₃×#879	C₂²	semidirect
102. C₃×#879	C₂²	semidirect
103. C₃×#879	C₂²	semidirect
104. C₃×#878	C₂²	semidirect
105. C₃×#877	C₂²	semidirect
106. C₃×#877	C₂²	semidirect
107. C₃×#876	C₂²	semidirect
108. C₃×#875	C₂²	semidirect
109. C₃×C₄×D₁₂	C₂²	semidirect
110. C₃×C₄×D₁₂	C₂²	semidirect
111. C₃×#872	C₂²	semidirect
112. C₃×#872	C₂²	semidirect
118. C₃×C₄²×D₃	C₂²	semidirect
119. C₃×C₄²×D₃	C₂²	semidirect
120. C₃×C₄²×D₃	C₂²	semidirect
121. C₃×C₄²×D₃	C₂²	semidirect
122. C₃×#870	C₂²	semidirect
123. C₃×C₄×Dic₆	C₂²	semidirect
124. C₃×C₄×Dic₆	C₂²	semidirect
137. C₃×#529	D₃	direct (N × H)
138. C₃×#529	C₂×C₃	semidirect
150. #5706	C₂×C₃	semidirect
151. D₃×#126	C₂×C₃	semidirect
152. #5691	C₂×C₃	semidirect
153. D₃×#125	C₂×C₃	semidirect
154. #5680	C₂×C₃	semidirect
155. D₃×#124	C₂×C₃	semidirect
156. D₃×#123	C₂×C₃	semidirect
157. #5649	C₂×C₃	semidirect
158. D₃×C₂²⋊Q₈	C₂×C₃	semidirect
159. #5624	C₂×C₃	semidirect
161. #5600	C₂×C₃	semidirect
162. #5580	C₂×C₃	semidirect
163. C₄×D₃×Q₈	C₂×C₃	semidirect
164. #5557	C₂×C₃	semidirect
165. C₄×D₃×D₄	C₂×C₃	semidirect
166. C₄×D₃×D₄	C₂×C₃	semidirect
167. #5538	C₂×C₃	semidirect
168. #5528	C₂×C₃	semidirect
169. D₃×#117	C₂×C₃	semidirect
170. #5479	C₂×C₃	semidirect
171. C₂×C₄²×D₃	C₂×C₃	semidirect
301. C₃×#126	C₂×D₃	semidirect
302. C₃×#126	C₂²×C₃	semidirect
309. C₃×#125	C₂×D₃	semidirect
310. C₃×#125	C₂²×C₃	semidirect
317. C₃×#124	C₂×D₃	semidirect
318. C₃×#124	C₂²×C₃	semidirect
327. C₃×#123	C₂×D₃	semidirect
328. C₃×#123	C₂²×C₃	semidirect
335. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
336. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
351. C₃×C₄×Q₈	C₂×D₃	semidirect
352. C₃×C₄×Q₈	C₂²×C₃	semidirect
367. C₃×C₄×D₄	C₂×D₃	semidirect
368. C₃×C₄×D₄	C₂×D₃	semidirect
369. C₃×C₄×D₄	C₂²×C₃	semidirect
370. C₃×C₄×D₄	C₂²×C₃	semidirect
379. C₃×#117	C₂×D₃	semidirect
380. C₃×#117	C₂²×C₃	semidirect
405. C₂×C₃×C₄²	C₂×D₃	semidirect
406. C₂×C₃×C₄²	C₂²×C₃	semidirect
407. #947	C₂²×C₃	semidirect
408. #946	C₂²×C₃	semidirect
409. Q₈×Dic₃	C₂²×C₃	semidirect
412. #936	C₂²×C₃	semidirect
413. #935	C₂²×C₃	semidirect
414. D₄×Dic₃	C₂²×C₃	semidirect
415. D₄×Dic₃	C₂²×C₃	semidirect
417. #929	C₂²×C₃	semidirect
418. C₄×#67	C₂²×C₃	semidirect
419. C₄×#67	C₂²×C₃	semidirect
420. C₄×#67	C₂²×C₃	semidirect
421. #926	C₂²×C₃	semidirect
422. #924	C₂²×C₃	semidirect
423. C₂×C₄×Dic₃	C₂²×C₃	semidirect
424. C₂×C₄×Dic₃	C₂²×C₃	semidirect
425. C₂×C₄×Dic₃	C₂²×C₃	semidirect
426. #898	C₂²×C₃	semidirect
427. #898	C₂²×C₃	semidirect
428. #898	C₂²×C₃	semidirect
429. #897	C₂²×C₃	semidirect
430. #896	C₂²×C₃	semidirect
432. #894	C₂²×C₃	semidirect
433. #894	C₂²×C₃	semidirect
434. #893	C₂²×C₃	semidirect
435. #893	C₂²×C₃	semidirect
436. #892	C₂²×C₃	semidirect
437. #892	C₂²×C₃	semidirect
444. #890	C₂²×C₃	semidirect
445. #890	C₂²×C₃	semidirect
446. #889	C₂²×C₃	semidirect
447. #889	C₂²×C₃	semidirect
448. #887	C₂²×C₃	semidirect
449. #887	C₂²×C₃	semidirect
450. #886	C₂²×C₃	semidirect
451. #885	C₂²×C₃	semidirect
452. #885	C₂²×C₃	semidirect
454. #883	C₂²×C₃	semidirect
455. #883	C₂²×C₃	semidirect
456. #67⋊C₄	C₂²×C₃	semidirect
457. #67⋊C₄	C₂²×C₃	semidirect
458. #67⋊C₄	C₂²×C₃	semidirect
464. #879	C₂²×C₃	semidirect
465. #879	C₂²×C₃	semidirect
466. #879	C₂²×C₃	semidirect
467. #878	C₂²×C₃	semidirect
468. #877	C₂²×C₃	semidirect
469. #877	C₂²×C₃	semidirect
470. #876	C₂²×C₃	semidirect
471. #875	C₂²×C₃	semidirect
472. C₄×D₁₂	C₂²×C₃	semidirect
473. C₄×D₁₂	C₂²×C₃	semidirect
474. #872	C₂²×C₃	semidirect
475. #872	C₂²×C₃	semidirect
481. C₄²×D₃	C₂²×C₃	semidirect
482. C₄²×D₃	C₂²×C₃	semidirect
483. C₄²×D₃	C₂²×C₃	semidirect
484. C₄²×D₃	C₂²×C₃	semidirect
485. #870	C₂²×C₃	semidirect
486. C₄×Dic₆	C₂²×C₃	semidirect
487. C₄×Dic₆	C₂²×C₃	semidirect
563. #529	C₃×D₃	direct (N × H)
860. #126	C₂×C₃×D₃	semidirect
866. #125	C₂×C₃×D₃	semidirect
872. #124	C₂×C₃×D₃	semidirect
880. #123	C₂×C₃×D₃	semidirect
886. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
898. C₄×Q₈	C₂×C₃×D₃	semidirect
911. C₄×D₄	C₂×C₃×D₃	semidirect
912. C₄×D₄	C₂×C₃×D₃	semidirect
920. #117	C₂×C₃×D₃	semidirect
944. C₂×C₄²	C₂×C₃×D₃	semidirect
1098. C₃×D₃	#529	direct (N × H)
1293. C₃²	C₂×#529	semidirect
1378. D₃	C₃×#529	direct (N × H)
1416. C₃	D₃×#529	direct (N × H)
1417. C₃	C₂×C₃×#529	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#529	2
C₃×#5706	2
C₃×D₃×#126	2
C₃×#5691	2
C₃×D₃×#125	2
C₃×#5680	2
C₃×D₃×#124	2
C₃×D₃×#123	2
C₃×#5649	2
C₃×D₃×C₂²⋊Q₈	2
C₃×#5624	2
C₃×D₃×#121	2
C₃×#5600	2
C₃×#5580	2
C₃×C₄×D₃×Q₈	2
C₃×#5557	2
C₃×C₄×D₃×D₄	2
C₃×#5538	2
C₃×#5528	2
C₃×D₃×#117	2
C₃×#5479	2
C₂×C₃×C₄²×D₃	2
C₂×C₃×#529	3
D₃×#529	3

Subgroups — C3×D3×#529 #11900569

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×D₃×#529 #11900569