Subgroups — C₃×#86021 #11903460

Order 1152.

2429 conjugacy classes of subgroups.

The subgroup lattice has 1440 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#525	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5828	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×Dic₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₃×C₄×#67	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₃×#926	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5658	C₂	1	2	yes	maximal, complemented
7	C₃×#5650	C₂	1	2	yes	maximal, complemented
8	C₃×#5642	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5641	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5639	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5635	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5618	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5616	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5614	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5611	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5591	C₂	1	2	yes	maximal, complemented
17	C₃×#5587	C₂	1	2	yes	maximal, complemented
18	C₃×#5557	C₂	1	2	yes	maximal, complemented
19	C₃×#5538	C₂	1	2	yes	maximal, complemented
20	C₃×#5538	C₂	1	2	yes	maximal, complemented
21	C₃×C₄×#237	C₂	1	2	yes	maximal, complemented
22	C₃×D₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#5517	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#3475	—	3	1	no	maximal
25	#86021	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂×C₃²×#41	C₂²	1	1	yes	characteristic
27	C₂³×C₃²×C₄	C₂²	1	1	yes	characteristic
28	C₂²×C₃×#67	C₂²	1	1	yes	characteristic
29	C₂×C₃×#237	C₂²	1	2	yes	—
30	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
31	C₃²×#123	C₂²	1	2	yes	—
32	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
35	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
36	C₃²×#120	C₂²	1	2	yes	—
37	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
38	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
39	C₃²×#117	C₂²	1	1	yes	characteristic
40	C₂×C₃×#217	C₂²	1	2	yes	—
41	C₂×C₃×#217	C₂²	1	1	yes	characteristic
42	C₃×#946	C₂²	1	1	yes	characteristic, complemented
43	C₃×#946	C₂²	1	1	yes	characteristic, complemented
44	C₃×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
45	C₃×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
46	C₃×#939	C₂²	1	2	yes	—
47	C₃×#939	C₂²	1	2	yes	—
48	C₃×#938	C₂²	1	2	yes	—
49	C₃×#938	C₂²	1	1	yes	characteristic, complemented
50	C₃×#938	C₂²	1	1	yes	characteristic, complemented
51	C₃×#937	C₂²	1	2	yes	—
52	C₃×#936	C₂²	1	2	yes	complemented
53	C₃×#935	C₂²	1	2	yes	—
54	C₃×#935	C₂²	1	2	yes	complemented
55	C₃×#935	C₂²	1	2	yes	complemented
56	C₃×D₄×Dic₃	C₂²	1	2	yes	—
57	C₃×D₄×Dic₃	C₂²	1	2	yes	—
58	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
59	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
60	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
61	C₃×C₄×#67	C₂²	1	1	yes	characteristic
62	C₃×C₄×#67	C₂²	1	1	yes	characteristic
63	C₃×C₄×#67	C₂²	1	1	yes	characteristic
64	C₃×C₄×#67	C₂²	1	1	yes	characteristic
65	C₃×C₄×#67	C₂²	1	1	yes	characteristic
66	C₃×C₄×#67	C₂²	1	1	yes	characteristic
67	C₃×C₄×#67	C₂²	1	1	yes	characteristic
68	C₃×C₄×#67	C₂²	1	1	yes	characteristic
69	C₃×C₄×#67	C₂²	1	2	yes	complemented
70	C₃×C₄×#67	C₂²	1	2	yes	complemented
71	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
72	C₃×#926	C₂²	1	1	yes	characteristic
73	C₃×#926	C₂²	1	1	yes	characteristic
74	C₃×#926	C₂²	1	2	yes	—
75	C₃×#926	C₂²	1	2	yes	complemented
76	C₃×#926	C₂²	1	1	yes	characteristic, complemented
77	C₃×#926	C₂²	1	1	yes	characteristic, complemented
78	C₃×#926	C₂²	1	2	yes	complemented
79	C₂×C₃×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₃×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₃×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
82	C₂×C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic
83	C₂×C₃×C₄×Dic₃	C₂²	1	2	yes	complemented
84	C₂×C₃×C₄×Dic₃	C₂²	1	2	yes	complemented
85	C₃×#898	C₂²	1	2	yes	complemented
86	C₃×#898	C₂²	1	2	yes	complemented
87	C₃×#897	C₂²	1	2	yes	complemented
88	C₃×#892	C₂²	1	1	yes	characteristic, complemented
89	C₃×#892	C₂²	1	1	yes	characteristic, complemented
90	C₃×#892	C₂²	1	2	yes	complemented
91	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
92	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
93	C₃×#890	C₂²	1	1	yes	characteristic, complemented
94	C₃×#890	C₂²	1	1	yes	characteristic, complemented
95	C₃×#890	C₂²	1	2	yes	complemented
96	C₃×#889	C₂²	1	2	yes	complemented
97	C₃×#889	C₂²	1	2	yes	complemented
98	C₃×#888	C₂²	1	1	yes	characteristic, complemented
99	C₃×#888	C₂²	1	1	yes	characteristic, complemented
100	C₃×#887	C₂²	1	2	yes	complemented
101	C₃×#886	C₂²	1	2	yes	—
102	C₃×#886	C₂²	1	2	yes	complemented
103	C₃×#885	C₂²	1	2	yes	—
104	C₃×#885	C₂²	1	2	yes	complemented
105	C₃×#883	C₂²	1	2	yes	—
106	C₃×#883	C₂²	1	2	yes	complemented
107	C₃×#67⋊C₄	C₂²	1	2	yes	—
108	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
109	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
110	C₃×#879	C₂²	1	2	yes	complemented
111	C₃×#879	C₂²	1	2	yes	complemented
112	C₃×#879	C₂²	1	2	yes	complemented
113	C₃×#879	C₂²	1	2	yes	complemented
114	C₃×#878	C₂²	1	2	yes	—
115	C₃×#878	C₂²	1	2	yes	—
116	C₃×#878	C₂²	1	2	yes	complemented
117	C₃×#878	C₂²	1	2	yes	complemented
118	C₃×#877	C₂²	1	2	yes	—
119	C₃×#877	C₂²	1	2	yes	complemented
120	C₃×#877	C₂²	1	2	yes	complemented
121	C₃×#872	C₂²	1	2	yes	complemented
122	C₃×C₄²×D₃	C₂²	1	2	yes	complemented
123	C₃×C₄×Dic₆	C₂²	1	2	yes	complemented
124	C₃×C₄×Dic₆	C₂²	1	2	yes	complemented
125	C₃×#556	—	3	1	no	—
126	C₃×#555	—	3	1	no	—
127	C₃×#554	—	3	1	no	—
128	C₃×#553	—	3	1	no	—
129	C₃×#553	—	3	1	no	—
130	C₃×#552	—	3	2	no	—
131	C₃×#552	—	3	1	no	—
132	C₃×#552	—	3	1	no	—
133	C₃×#551	—	3	2	no	—
134	C₃×#551	—	3	2	no	—
135	C₃×#547	—	3	1	no	—
136	C₃×#546	—	3	2	no	—
137	C₃×#533	—	3	1	no	—
138	C₃×#529	—	3	2	no	—
139	C₃×#529	—	3	2	no	—
140	C₃×#529	—	3	2	no	—
141	C₃×#525	—	2	1	no	—
142	C₃×#525	—	3	1	no	—
143	C₃×#525	D₃	1	1	yes	characteristic, complemented
144	C₃×#525	C₂×C₃	1	1	yes	characteristic, complemented
145	C₃×C₄×#41	—	3	1	no	—
146	C₃×C₄×#41	—	3	2	no	—
147	C₂×C₃×C₄×D₄	—	3	1	no	—
148	C₂×C₃×#117	—	3	1	no	—
149	C₂×C₃×#117	—	3	1	no	—
150	#5828	C₂×C₃	1	1	yes	characteristic, complemented
151	Dic₃×#41	C₂×C₃	1	1	yes	characteristic, complemented
152	C₂×C₄×#67	C₂×C₃	1	1	yes	characteristic, complemented
153	C₂×#926	C₂×C₃	1	1	yes	characteristic, complemented
154	#5658	C₂×C₃	1	2	yes	complemented
155	#5650	C₂×C₃	1	2	yes	complemented
156	#5642	C₂×C₃	1	1	yes	characteristic, complemented
157	#5641	C₂×C₃	1	1	yes	characteristic, complemented
158	#5639	C₂×C₃	1	1	yes	characteristic, complemented
159	#5635	C₂×C₃	1	1	yes	characteristic, complemented
160	#5618	C₂×C₃	1	1	yes	characteristic, complemented
161	#5616	C₂×C₃	1	1	yes	characteristic, complemented
162	#5614	C₂×C₃	1	1	yes	characteristic, complemented
163	#5611	C₂×C₃	1	1	yes	characteristic, complemented
164	#5591	C₂×C₃	1	2	yes	complemented
165	#5587	C₂×C₃	1	2	yes	complemented
166	#5557	C₂×C₃	1	2	yes	complemented
167	#5538	C₂×C₃	1	2	yes	complemented
168	#5538	C₂×C₃	1	2	yes	complemented
169	C₄×#237	C₂×C₃	1	2	yes	complemented
170	D₃×#117	C₂×C₃	1	1	yes	characteristic, complemented
171	#5517	C₂×C₃	1	1	yes	characteristic, complemented
172	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
173	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
174	C₃²×#41	—	2	4	no	—
175	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
176	C₂×C₃²×D₄	C₂³	1	2	yes	—
177	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
178	C₂×C₃²×D₄	C₂³	1	2	yes	—
179	C₂×C₃²×D₄	C₂³	1	2	yes	—
180	C₂²×C₃²×C₄	—	2	4	no	—
181	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
182	C₂²×C₃²×C₄	C₂³	1	2	yes	—
183	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
184	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
185	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
186	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
187	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
188	C₂×C₃×#67	—	2	4	no	—
189	C₂×C₃×#67	C₂³	1	2	yes	—
190	C₂×C₃×#67	C₂³	1	1	yes	characteristic
191	C₂×C₃×#67	C₂³	1	1	yes	characteristic
192	C₂×C₃×#67	C₂³	1	1	yes	characteristic
193	C₂×C₃×#67	C₂³	1	2	yes	—
194	C₂×C₃×#67	C₂³	1	1	yes	characteristic
195	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
196	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
197	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
198	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
199	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
200	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
201	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
202	C₃×#237	—	2	8	no	—
203	C₂×C₃×C₄×D₃	—	2	4	no	—
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	2	yes	—
210	C₂×C₃×Dic₆	C₂³	1	2	yes	—
211	C₂×C₃×Dic₆	C₂³	1	2	yes	—
212	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
213	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
216	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
218	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₃²×C₄²	C₂³	1	2	yes	—
222	C₃×#217	C₂³	1	2	yes	—
223	C₃×#217	C₂³	1	1	yes	characteristic
224	C₃×#217	C₂³	1	2	yes	—
225	C₃×#217	C₂³	1	2	yes	—
226	C₃×#217	C₂³	1	1	yes	characteristic
227	C₃×#217	C₂³	1	2	yes	—
228	C₃×#217	C₂³	1	2	yes	—
229	C₃×#217	C₂³	1	1	yes	characteristic
230	C₃×#217	C₂³	1	1	yes	characteristic
231	C₃×#217	C₂³	1	2	yes	—
232	C₃×#217	C₂³	1	2	yes	—
233	C₃×#217	C₂³	1	2	yes	—
234	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
235	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
236	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
237	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
238	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
239	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
240	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
241	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
242	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
243	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
244	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
245	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
246	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
247	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
248	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
249	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
250	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
251	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
252	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
253	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
254	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
261	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
262	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
263	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
264	C₃×C₄×Dic₃	C₂³	1	2	yes	—
265	C₃×C₄×Dic₃	C₂³	1	2	yes	—
266	C₃×C₄×Dic₃	C₂³	1	2	yes	—
267	C₃×C₄×Dic₃	C₂³	1	2	yes	—
268	C₃×C₄×Dic₃	C₂³	1	2	yes	—
269	C₃×C₄×Dic₃	C₂³	1	2	yes	—
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	2	yes	—
275	C₃×C₄×Dic₃	C₂³	1	2	yes	—
276	#3475	—	3	1	no	Sylow
277	C₂×C₃×#41	—	2	1	no	—
278	C₂×C₃×#41	—	3	2	no	—
279	C₂×C₃×#41	C₂×D₃	1	1	yes	characteristic
280	C₂×C₃×#41	C₂²×C₃	1	1	yes	characteristic
281	C₂²×C₃×D₄	—	3	1	no	—
282	C₂³×C₃×C₄	—	2	1	no	—
283	C₂³×C₃×C₄	—	3	1	no	—
284	C₂³×C₃×C₄	C₂×D₃	1	1	yes	characteristic
285	C₂³×C₃×C₄	C₂²×C₃	1	1	yes	characteristic
286	C₂²×#67	C₂²×C₃	1	1	yes	characteristic
287	C₂×#237	C₂²×C₃	1	2	yes	—
288	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
289	C₃×C₄⋊Q₈	—	3	1	no	—
290	C₃×C₄⋊Q₈	—	3	1	no	—
291	C₃×#126	—	3	2	no	—
292	C₃×#126	—	3	2	no	—
293	C₃×#126	—	3	2	no	—
294	C₃×#126	—	3	2	no	—
295	C₃×#126	—	3	2	no	—
296	C₃×#126	—	3	2	no	—
297	C₃×#125	—	3	2	no	—
298	C₃×#125	—	3	2	no	—
299	C₃×#125	—	3	2	no	—
300	C₃×#125	—	3	1	no	—
301	C₃×#125	—	3	1	no	—
302	C₃×#124	—	3	2	no	—
303	C₃×#124	—	3	2	no	—
304	C₃×#124	—	3	2	no	—
305	C₃×#123	—	2	2	no	—
306	C₃×#123	—	3	2	no	—
307	C₃×#123	—	3	2	no	—
308	C₃×#123	—	3	2	no	—
309	C₃×#123	—	3	2	no	—
310	C₃×#123	—	3	2	no	—
311	C₃×#123	—	3	2	no	—
312	C₃×#123	—	3	2	no	—
313	C₃×#123	C₂×D₃	1	2	yes	—
314	C₃×#123	C₂²×C₃	1	2	yes	—
315	C₃×C₂²⋊Q₈	—	2	1	no	—
316	C₃×C₂²⋊Q₈	—	2	1	no	—
317	C₃×C₂²⋊Q₈	—	3	1	no	—
318	C₃×C₂²⋊Q₈	—	3	1	no	—
319	C₃×C₂²⋊Q₈	—	3	2	no	—
320	C₃×C₂²⋊Q₈	—	3	2	no	—
321	C₃×C₂²⋊Q₈	—	3	2	no	—
322	C₃×C₂²⋊Q₈	—	3	2	no	—
323	C₃×C₂²⋊Q₈	—	3	2	no	—
324	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
325	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
326	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
327	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
328	C₃×#121	—	2	1	no	—
329	C₃×#121	—	2	1	no	—
330	C₃×#121	—	3	2	no	—
331	C₃×#121	—	3	1	no	—
332	C₃×#121	—	3	1	no	—
333	C₃×#121	—	3	2	no	—
334	C₃×#121	—	3	2	no	—
335	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
336	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
337	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
338	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
339	C₃×#120	—	2	2	no	—
340	C₃×#120	—	3	2	no	—
341	C₃×#120	C₂×D₃	1	2	yes	—
342	C₃×#120	C₂²×C₃	1	2	yes	—
343	C₃×C₄×Q₈	—	3	1	no	—
344	C₃×C₄×Q₈	—	3	1	no	—
345	C₃×C₄×Q₈	—	3	2	no	—
346	C₃×C₄×Q₈	—	3	2	no	—
347	C₃×C₄×Q₈	—	3	2	no	—
348	C₃×C₄×D₄	—	2	2	no	—
349	C₃×C₄×D₄	—	2	2	no	—
350	C₃×C₄×D₄	—	3	2	no	—
351	C₃×C₄×D₄	—	3	2	no	—
352	C₃×C₄×D₄	—	3	1	no	—
353	C₃×C₄×D₄	—	3	2	no	—
354	C₃×C₄×D₄	—	3	1	no	—
355	C₃×C₄×D₄	—	3	1	no	—
356	C₃×C₄×D₄	—	3	1	no	—
357	C₃×C₄×D₄	—	3	1	no	—
358	C₃×C₄×D₄	—	3	1	no	—
359	C₃×C₄×D₄	—	3	1	no	—
360	C₃×C₄×D₄	—	3	1	no	—
361	C₃×C₄×D₄	—	3	1	no	—
362	C₃×C₄×D₄	—	3	1	no	—
363	C₃×C₄×D₄	—	3	2	no	—
364	C₃×C₄×D₄	—	3	2	no	—
365	C₃×C₄×D₄	—	3	2	no	—
366	C₃×C₄×D₄	—	3	2	no	—
367	C₃×C₄×D₄	C₂×D₃	1	2	yes	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	2	yes	complemented
371	C₃×#117	—	2	1	no	—
372	C₃×#117	—	3	1	no	—
373	C₃×#117	—	3	1	no	—
374	C₃×#117	—	3	2	no	—
375	C₃×#117	—	3	2	no	—
376	C₃×#117	—	3	1	no	—
377	C₃×#117	—	3	1	no	—
378	C₃×#117	—	3	2	no	—
379	C₃×#117	—	3	1	no	—
380	C₃×#117	—	3	1	no	—
381	C₃×#117	—	3	2	no	—
382	C₃×#117	—	3	2	no	—
383	C₃×#117	—	3	2	no	—
384	C₃×#117	—	3	2	no	—
385	C₃×#117	—	3	2	no	—
386	C₃×#117	C₂×D₃	1	1	yes	characteristic
387	C₃×#117	C₂²×C₃	1	1	yes	characteristic
388	C₂×C₃×C₄⋊C₄	—	3	1	no	—
389	C₂×C₃×C₄⋊C₄	—	3	1	no	—
390	C₂×C₃×C₄⋊C₄	—	3	1	no	—
391	C₂×C₃×C₄⋊C₄	—	3	1	no	—
392	C₂×C₃×C₄⋊C₄	—	3	1	no	—
393	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
394	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
395	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
396	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
397	C₂×C₃×C₄²	—	3	1	no	—
398	C₂×C₃×C₄²	—	3	2	no	—
399	C₂×C₃×C₄²	—	3	2	no	—
400	C₂×C₃×C₄²	—	3	2	no	—
401	C₂×#217	C₂²×C₃	1	2	yes	—
402	C₂×#217	C₂²×C₃	1	1	yes	characteristic
403	#946	C₂²×C₃	1	1	yes	characteristic, complemented
404	#946	C₂²×C₃	1	1	yes	characteristic, complemented
405	Q₈×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
406	Q₈×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
407	#939	C₂²×C₃	1	2	yes	—
408	#939	C₂²×C₃	1	2	yes	—
409	#938	C₂²×C₃	1	2	yes	—
410	#938	C₂²×C₃	1	1	yes	characteristic, complemented
411	#938	C₂²×C₃	1	1	yes	characteristic, complemented
412	#937	C₂²×C₃	1	2	yes	—
413	#936	C₂²×C₃	1	2	yes	complemented
414	#935	C₂²×C₃	1	2	yes	—
415	#935	C₂²×C₃	1	2	yes	complemented
416	#935	C₂²×C₃	1	2	yes	complemented
417	D₄×Dic₃	C₂²×C₃	1	2	yes	—
418	D₄×Dic₃	C₂²×C₃	1	2	yes	—
419	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
420	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
421	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
422	C₄×#67	C₂²×C₃	1	1	yes	characteristic
423	C₄×#67	C₂²×C₃	1	1	yes	characteristic
424	C₄×#67	C₂²×C₃	1	1	yes	characteristic
425	C₄×#67	C₂²×C₃	1	1	yes	characteristic
426	C₄×#67	C₂²×C₃	1	1	yes	characteristic
427	C₄×#67	C₂²×C₃	1	1	yes	characteristic
428	C₄×#67	C₂²×C₃	1	1	yes	characteristic
429	C₄×#67	C₂²×C₃	1	1	yes	characteristic
430	C₄×#67	C₂²×C₃	1	2	yes	complemented
431	C₄×#67	C₂²×C₃	1	2	yes	complemented
432	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
433	#926	C₂²×C₃	1	2	yes	—
434	#926	C₂²×C₃	1	1	yes	characteristic
435	#926	C₂²×C₃	1	1	yes	characteristic
436	#926	C₂²×C₃	1	1	yes	characteristic, complemented
437	#926	C₂²×C₃	1	1	yes	characteristic, complemented
438	#926	C₂²×C₃	1	2	yes	complemented
439	#926	C₂²×C₃	1	2	yes	complemented
440	C₂×C₄⋊Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
441	C₂×C₄⋊Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
442	C₂×Dic₃⋊C₄	C₂²×C₃	1	1	yes	characteristic
443	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
444	C₂×C₄×Dic₃	C₂²×C₃	1	2	yes	complemented
445	C₂×C₄×Dic₃	C₂²×C₃	1	2	yes	complemented
446	#898	C₂²×C₃	1	2	yes	complemented
447	#898	C₂²×C₃	1	2	yes	complemented
448	#897	C₂²×C₃	1	2	yes	complemented
449	#892	C₂²×C₃	1	2	yes	complemented
450	#892	C₂²×C₃	1	1	yes	characteristic, complemented
451	#892	C₂²×C₃	1	1	yes	characteristic, complemented
452	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
453	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
454	#890	C₂²×C₃	1	1	yes	characteristic, complemented
455	#890	C₂²×C₃	1	2	yes	complemented
456	#890	C₂²×C₃	1	1	yes	characteristic, complemented
457	#889	C₂²×C₃	1	2	yes	complemented
458	#889	C₂²×C₃	1	2	yes	complemented
459	#888	C₂²×C₃	1	1	yes	characteristic, complemented
460	#888	C₂²×C₃	1	1	yes	characteristic, complemented
461	#887	C₂²×C₃	1	2	yes	complemented
462	#886	C₂²×C₃	1	2	yes	—
463	#886	C₂²×C₃	1	2	yes	complemented
464	#885	C₂²×C₃	1	2	yes	—
465	#885	C₂²×C₃	1	2	yes	complemented
466	#883	C₂²×C₃	1	2	yes	—
467	#883	C₂²×C₃	1	2	yes	complemented
468	#67⋊C₄	C₂²×C₃	1	2	yes	—
469	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
470	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
471	#879	C₂²×C₃	1	2	yes	complemented
472	#879	C₂²×C₃	1	2	yes	complemented
473	#879	C₂²×C₃	1	2	yes	complemented
474	#879	C₂²×C₃	1	2	yes	complemented
475	#878	C₂²×C₃	1	2	yes	—
476	#878	C₂²×C₃	1	2	yes	—
477	#878	C₂²×C₃	1	2	yes	complemented
478	#878	C₂²×C₃	1	2	yes	complemented
479	#877	C₂²×C₃	1	2	yes	—
480	#877	C₂²×C₃	1	2	yes	complemented
481	#877	C₂²×C₃	1	2	yes	complemented
482	#872	C₂²×C₃	1	2	yes	complemented
483	C₄²×D₃	C₂²×C₃	1	2	yes	complemented
484	C₄×Dic₆	C₂²×C₃	1	2	yes	complemented
485	C₄×Dic₆	C₂²×C₃	1	2	yes	complemented
486	C₂³×C₃²	—	2	2	no	—
487	C₂³×C₃²	—	2	2	no	—
488	C₂³×C₃²	—	4	1	no	—
489	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
490	C₂³×C₃²	C₂⁴	1	2	yes	—
491	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
492	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
493	C₂²×C₃×D₃	—	2	2	no	—
494	C₂²×C₃×D₃	—	2	2	no	—
495	C₂²×C₃×D₃	—	4	1	no	—
496	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
497	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
498	C₃²×Q₈	—	2	2	no	—
499	C₃²×D₄	—	2	4	no	—
500	C₃²×D₄	—	2	4	no	—
501	C₃²×D₄	—	2	2	no	—
502	C₃²×D₄	—	4	2	no	—
503	C₂×C₃²×C₄	—	2	2	no	—
504	C₂×C₃²×C₄	—	2	2	no	—
505	C₂×C₃²×C₄	—	2	2	no	—
506	C₂×C₃²×C₄	—	2	2	no	—
507	C₂×C₃²×C₄	—	2	2	no	—
508	C₂×C₃²×C₄	—	2	4	no	—
509	C₂×C₃²×C₄	#41	1	4	yes	complemented
510	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
511	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
512	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
513	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
514	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
515	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
516	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
517	C₃×#67	—	2	2	no	—
518	C₃×#67	—	2	4	no	—
519	C₃×#67	—	2	2	no	—
520	C₃×#67	—	2	2	no	—
521	C₃×#67	—	4	2	no	—
522	C₃×#67	#41	1	4	yes	complemented
523	C₂×C₃×Dic₃	—	2	2	no	—
524	C₂×C₃×Dic₃	—	2	4	no	—
525	C₂×C₃×Dic₃	—	2	4	no	—
526	C₂×C₃×Dic₃	—	2	2	no	—
527	C₂×C₃×Dic₃	—	4	1	no	—
528	C₂×C₃×Dic₃	—	4	2	no	—
529	C₂×C₃×Dic₃	—	4	2	no	—
530	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
531	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
532	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
533	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
534	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
535	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
536	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
537	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
538	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
539	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
540	C₃×C₄×D₃	—	2	4	no	—
541	C₃×C₄×D₃	—	2	2	no	—
542	C₃×C₄×D₃	—	2	2	no	—
543	C₃×C₄×D₃	—	2	2	no	—
544	C₃×C₄×D₃	—	2	2	no	—
545	C₃×C₄×D₃	—	4	2	no	—
546	C₃×Dic₆	—	2	4	no	—
547	C₃×Dic₆	—	4	2	no	—
548	#556	—	3	1	no	—
549	#555	—	3	1	no	—
550	#554	—	3	1	no	—
551	#553	—	3	1	no	—
552	#553	—	3	1	no	—
553	#552	—	3	2	no	—
554	#552	—	3	1	no	—
555	#552	—	3	1	no	—
556	#551	—	3	2	no	—
557	#551	—	3	2	no	—
558	#547	—	3	1	no	—
559	#546	—	3	2	no	—
560	#533	—	3	1	no	—
561	#529	—	3	2	no	—
562	#529	—	3	2	no	—
563	#529	—	3	2	no	—
564	#525	—	3	1	no	—
565	#525	C₃×D₃	1	1	yes	characteristic, complemented
566	C₄×#41	—	3	1	no	—
567	C₄×#41	—	3	2	no	—
568	C₂×C₄×D₄	—	3	1	no	—
569	C₂×#117	—	3	1	no	—
570	C₂×#117	—	3	1	no	—
571	C₂⁴×C₃	—	2	1	no	—
572	C₂⁴×C₃	—	3	1	no	—
573	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
574	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
575	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
576	C₃×#41	—	2	4	no	—
577	C₃×#41	—	2	4	no	—
578	C₃×#41	—	4	4	no	—
579	C₃×#41	—	6	8	no	—
580	C₂×C₃×Q₈	—	2	1	no	—
581	C₂×C₃×Q₈	—	3	2	no	—
582	C₂×C₃×Q₈	—	3	2	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	2	no	—
587	C₂×C₃×D₄	—	2	2	no	—
588	C₂×C₃×D₄	—	2	1	no	—
589	C₂×C₃×D₄	—	3	1	no	—
590	C₂×C₃×D₄	—	3	2	no	—
591	C₂×C₃×D₄	—	3	1	no	—
592	C₂×C₃×D₄	—	3	1	no	—
593	C₂×C₃×D₄	—	3	1	no	—
594	C₂×C₃×D₄	—	3	2	no	—
595	C₂×C₃×D₄	—	6	4	no	—
596	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
597	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
598	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
599	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
600	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
601	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
602	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
603	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
604	C₂²×C₃×C₄	—	2	4	no	—
605	C₂²×C₃×C₄	—	2	4	no	—
606	C₂²×C₃×C₄	—	2	1	no	—
607	C₂²×C₃×C₄	—	2	1	no	—
608	C₂²×C₃×C₄	—	2	1	no	—
609	C₂²×C₃×C₄	—	2	2	no	—
610	C₂²×C₃×C₄	—	2	1	no	—
611	C₂²×C₃×C₄	—	2	1	no	—
612	C₂²×C₃×C₄	—	2	1	no	—
613	C₂²×C₃×C₄	—	3	2	no	—
614	C₂²×C₃×C₄	—	3	1	no	—
615	C₂²×C₃×C₄	—	3	2	no	—
616	C₂²×C₃×C₄	—	3	1	no	—
617	C₂²×C₃×C₄	—	3	1	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	1	no	—
623	C₂²×C₃×C₄	—	3	1	no	—
624	C₂²×C₃×C₄	—	3	1	no	—
625	C₂²×C₃×C₄	—	3	2	no	—
626	C₂²×C₃×C₄	—	4	4	no	—
627	C₂²×C₃×C₄	—	6	4	no	—
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	1	yes	characteristic
631	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
632	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
633	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
634	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
635	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
636	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
637	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
638	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
639	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
640	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
641	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
642	C₂×#67	—	2	4	no	—
643	C₂×#67	C₂³×C₃	1	2	yes	—
644	C₂×#67	C₂³×C₃	1	1	yes	characteristic
645	C₂×#67	C₂³×C₃	1	1	yes	characteristic
646	C₂×#67	C₂³×C₃	1	1	yes	characteristic
647	C₂×#67	C₂³×C₃	1	2	yes	—
648	C₂×#67	C₂³×C₃	1	1	yes	characteristic
649	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
650	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
651	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
652	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
653	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
654	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
655	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
656	#237	—	2	8	no	—
657	C₂×C₄×D₃	—	2	4	no	—
658	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
659	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
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×Dic₆	C₂³×C₃	1	2	yes	—
665	C₂×Dic₆	C₂³×C₃	1	2	yes	—
666	C₃×C₄⋊C₄	—	2	1	no	—
667	C₃×C₄⋊C₄	—	2	1	no	—
668	C₃×C₄⋊C₄	—	2	2	no	—
669	C₃×C₄⋊C₄	—	2	2	no	—
670	C₃×C₄⋊C₄	—	3	1	no	—
671	C₃×C₄⋊C₄	—	3	2	no	—
672	C₃×C₄⋊C₄	—	3	2	no	—
673	C₃×C₄⋊C₄	—	3	1	no	—
674	C₃×C₄⋊C₄	—	3	1	no	—
675	C₃×C₄⋊C₄	—	3	1	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	1	no	—
683	C₃×C₄⋊C₄	—	3	1	no	—
684	C₃×C₄⋊C₄	—	3	1	no	—
685	C₃×C₄⋊C₄	—	3	1	no	—
686	C₃×C₄⋊C₄	—	3	2	no	—
687	C₃×C₄⋊C₄	—	3	2	no	—
688	C₃×C₄⋊C₄	—	3	2	no	—
689	C₃×C₄⋊C₄	—	3	2	no	—
690	C₃×C₄⋊C₄	—	3	2	no	—
691	C₃×C₄⋊C₄	—	3	2	no	—
692	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
693	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
694	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
695	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
696	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
697	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
698	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
699	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
700	C₃×C₂²⋊C₄	—	2	2	no	—
701	C₃×C₂²⋊C₄	—	2	2	no	—
702	C₃×C₂²⋊C₄	—	2	2	no	—
703	C₃×C₂²⋊C₄	—	2	2	no	—
704	C₃×C₂²⋊C₄	—	2	2	no	—
705	C₃×C₂²⋊C₄	—	3	2	no	—
706	C₃×C₂²⋊C₄	—	3	1	no	—
707	C₃×C₂²⋊C₄	—	3	2	no	—
708	C₃×C₂²⋊C₄	—	3	2	no	—
709	C₃×C₂²⋊C₄	—	3	2	no	—
710	C₃×C₂²⋊C₄	—	3	1	no	—
711	C₃×C₂²⋊C₄	—	3	1	no	—
712	C₃×C₂²⋊C₄	—	3	1	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	1	no	—
718	C₃×C₂²⋊C₄	—	3	2	no	—
719	C₃×C₂²⋊C₄	—	3	2	no	—
720	C₃×C₂²⋊C₄	—	3	1	no	—
721	C₃×C₂²⋊C₄	—	3	1	no	—
722	C₃×C₂²⋊C₄	—	3	1	no	—
723	C₃×C₂²⋊C₄	—	3	2	no	—
724	C₃×C₂²⋊C₄	—	3	2	no	—
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	C₂²×D₃	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×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
735	C₃×C₄²	—	2	2	no	—
736	C₃×C₄²	—	3	2	no	—
737	C₃×C₄²	—	3	2	no	—
738	C₃×C₄²	—	3	2	no	—
739	C₃×C₄²	—	3	2	no	—
740	C₃×C₄²	—	3	2	no	—
741	C₃×C₄²	—	3	1	no	—
742	C₃×C₄²	—	3	1	no	—
743	C₃×C₄²	—	3	2	no	—
744	C₃×C₄²	—	3	2	no	—
745	C₃×C₄²	—	3	1	no	—
746	C₃×C₄²	—	3	1	no	—
747	C₃×C₄²	—	3	2	no	—
748	C₃×C₄²	C₂²×D₃	1	2	yes	—
749	C₃×C₄²	C₂³×C₃	1	2	yes	—
750	#217	C₂³×C₃	1	2	yes	—
751	#217	C₂³×C₃	1	1	yes	characteristic
752	#217	C₂³×C₃	1	2	yes	—
753	#217	C₂³×C₃	1	2	yes	—
754	#217	C₂³×C₃	1	1	yes	characteristic
755	#217	C₂³×C₃	1	2	yes	—
756	#217	C₂³×C₃	1	2	yes	—
757	#217	C₂³×C₃	1	1	yes	characteristic
758	#217	C₂³×C₃	1	1	yes	characteristic
759	#217	C₂³×C₃	1	2	yes	—
760	#217	C₂³×C₃	1	2	yes	—
761	#217	C₂³×C₃	1	2	yes	—
762	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
763	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
764	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
765	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
766	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
767	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
768	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
769	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
770	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
771	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
772	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
773	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
774	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
775	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
776	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
777	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
778	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
779	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
780	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
781	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
782	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
783	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
784	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
785	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
786	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
787	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
788	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
789	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
790	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
791	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
792	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
793	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
794	C₄×Dic₃	C₂³×C₃	1	2	yes	—
795	C₄×Dic₃	C₂³×C₃	1	2	yes	—
796	C₄×Dic₃	C₂³×C₃	1	2	yes	—
797	C₄×Dic₃	C₂³×C₃	1	2	yes	—
798	C₄×Dic₃	C₂³×C₃	1	2	yes	—
799	C₄×Dic₃	C₂³×C₃	1	2	yes	—
800	C₄×Dic₃	C₂³×C₃	1	2	yes	—
801	C₄×Dic₃	C₂³×C₃	1	2	yes	—
802	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
803	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
804	C₂²×C₃²	—	2	1	no	—
805	C₂²×C₃²	—	2	1	no	—
806	C₂²×C₃²	—	2	1	no	—
807	C₂²×C₃²	—	2	1	no	—
808	C₂²×C₃²	—	2	1	no	—
809	C₂²×C₃²	—	2	2	no	—
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	—	4	4	no	—
815	C₂²×C₃²	C₂×#41	1	2	yes	—
816	C₂²×C₃²	C₂×#41	1	2	yes	—
817	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
818	C₂×C₃×D₃	—	2	1	no	—
819	C₂×C₃×D₃	—	2	1	no	—
820	C₂×C₃×D₃	—	2	1	no	—
821	C₂×C₃×D₃	—	2	1	no	—
822	C₂×C₃×D₃	—	2	1	no	—
823	C₂×C₃×D₃	—	4	4	no	—
824	C₂×C₃×D₃	C₂×#41	1	2	yes	—
825	C₃²×C₄	—	2	2	no	—
826	C₃²×C₄	—	2	1	no	—
827	C₃²×C₄	—	2	1	no	—
828	C₃²×C₄	—	2	2	no	—
829	C₃²×C₄	—	2	2	no	—
830	C₃²×C₄	C₂×#41	1	2	yes	—
831	C₃²×C₄	C₂×#41	1	2	yes	—
832	C₃×Dic₃	—	2	2	no	—
833	C₃×Dic₃	—	2	1	no	—
834	C₃×Dic₃	—	2	1	no	—
835	C₃×Dic₃	—	2	2	no	—
836	C₃×Dic₃	—	2	1	no	—
837	C₃×Dic₃	—	2	1	no	—
838	C₃×Dic₃	—	2	2	no	—
839	C₃×Dic₃	—	2	2	no	—
840	C₃×Dic₃	—	2	1	no	—
841	C₃×Dic₃	C₂×#41	1	2	yes	—
842	C₂×#41	—	3	2	no	—
843	C₂×#41	C₂×C₃×D₃	1	1	yes	characteristic
844	C₂²×D₄	—	3	1	no	—
845	C₂³×C₄	—	3	1	no	—
846	C₂³×C₄	C₂×C₃×D₃	1	1	yes	characteristic
847	C₄⋊Q₈	—	3	1	no	—
848	C₄⋊Q₈	—	3	1	no	—
849	#126	—	3	2	no	—
850	#126	—	3	2	no	—
851	#126	—	3	2	no	—
852	#126	—	3	2	no	—
853	#126	—	3	2	no	—
854	#126	—	3	2	no	—
855	#125	—	3	2	no	—
856	#125	—	3	2	no	—
857	#125	—	3	2	no	—
858	#125	—	3	1	no	—
859	#125	—	3	1	no	—
860	#124	—	3	2	no	—
861	#124	—	3	2	no	—
862	#124	—	3	2	no	—
863	#123	—	3	2	no	—
864	#123	—	3	2	no	—
865	#123	—	3	2	no	—
866	#123	—	3	2	no	—
867	#123	—	3	2	no	—
868	#123	—	3	2	no	—
869	#123	—	3	2	no	—
870	#123	C₂×C₃×D₃	1	2	yes	—
871	C₂²⋊Q₈	—	3	1	no	—
872	C₂²⋊Q₈	—	3	1	no	—
873	C₂²⋊Q₈	—	3	2	no	—
874	C₂²⋊Q₈	—	3	2	no	—
875	C₂²⋊Q₈	—	3	2	no	—
876	C₂²⋊Q₈	—	3	2	no	—
877	C₂²⋊Q₈	—	3	2	no	—
878	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
879	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
880	#121	—	3	1	no	—
881	#121	—	3	1	no	—
882	#121	—	3	2	no	—
883	#121	—	3	2	no	—
884	#121	—	3	2	no	—
885	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
886	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
887	#120	—	3	2	no	—
888	#120	C₂×C₃×D₃	1	2	yes	—
889	C₄×Q₈	—	3	1	no	—
890	C₄×Q₈	—	3	1	no	—
891	C₄×Q₈	—	3	2	no	—
892	C₄×Q₈	—	3	2	no	—
893	C₄×Q₈	—	3	2	no	—
894	C₄×D₄	—	3	2	no	—
895	C₄×D₄	—	3	1	no	—
896	C₄×D₄	—	3	2	no	—
897	C₄×D₄	—	3	2	no	—
898	C₄×D₄	—	3	1	no	—
899	C₄×D₄	—	3	1	no	—
900	C₄×D₄	—	3	1	no	—
901	C₄×D₄	—	3	1	no	—
902	C₄×D₄	—	3	1	no	—
903	C₄×D₄	—	3	1	no	—
904	C₄×D₄	—	3	1	no	—
905	C₄×D₄	—	3	1	no	—
906	C₄×D₄	—	3	1	no	—
907	C₄×D₄	—	3	2	no	—
908	C₄×D₄	—	3	2	no	—
909	C₄×D₄	—	3	2	no	—
910	C₄×D₄	—	3	2	no	—
911	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
912	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
913	#117	—	3	1	no	—
914	#117	—	3	1	no	—
915	#117	—	3	2	no	—
916	#117	—	3	2	no	—
917	#117	—	3	1	no	—
918	#117	—	3	1	no	—
919	#117	—	3	2	no	—
920	#117	—	3	1	no	—
921	#117	—	3	1	no	—
922	#117	—	3	2	no	—
923	#117	—	3	2	no	—
924	#117	—	3	2	no	—
925	#117	—	3	2	no	—
926	#117	—	3	2	no	—
927	#117	C₂×C₃×D₃	1	1	yes	characteristic
928	C₂×C₄⋊C₄	—	3	1	no	—
929	C₂×C₄⋊C₄	—	3	1	no	—
930	C₂×C₄⋊C₄	—	3	1	no	—
931	C₂×C₄⋊C₄	—	3	1	no	—
932	C₂×C₄⋊C₄	—	3	1	no	—
933	C₂×C₂²⋊C₄	—	3	2	no	—
934	C₂×C₂²⋊C₄	—	3	1	no	—
935	C₂×C₂²⋊C₄	—	3	1	no	—
936	C₂×C₂²⋊C₄	—	3	2	no	—
937	C₂×C₄²	—	3	2	no	—
938	C₂×C₄²	—	3	1	no	—
939	C₂×C₄²	—	3	2	no	—
940	C₂×C₄²	—	3	2	no	—
941	C₂³×C₃	—	2	2	no	—
942	C₂³×C₃	—	2	2	no	—
943	C₂³×C₃	—	2	2	no	—
944	C₂³×C₃	—	2	2	no	—
945	C₂³×C₃	—	2	1	no	—
946	C₂³×C₃	—	2	1	no	—
947	C₂³×C₃	—	2	1	no	—
948	C₂³×C₃	—	2	2	no	—
949	C₂³×C₃	—	3	1	no	—
950	C₂³×C₃	—	3	1	no	—
951	C₂³×C₃	—	4	2	no	—
952	C₂³×C₃	—	4	2	no	—
953	C₂³×C₃	—	4	1	no	—
954	C₂³×C₃	—	4	1	no	—
955	C₂³×C₃	—	4	2	no	—
956	C₂³×C₃	—	6	2	no	—
957	C₂³×C₃	—	6	2	no	—
958	C₂³×C₃	—	12	1	no	—
959	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
960	C₂³×C₃	C₂³×D₃	1	2	yes	—
961	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
962	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
963	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
964	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
965	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
966	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
967	C₂²×D₃	—	2	2	no	—
968	C₂²×D₃	—	2	2	no	—
969	C₂²×D₃	—	4	1	no	—
970	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
971	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
972	C₃×Q₈	—	2	2	no	—
973	C₃×Q₈	—	2	2	no	—
974	C₃×Q₈	—	4	2	no	—
975	C₃×Q₈	—	6	4	no	—
976	C₃×Q₈	—	12	2	no	—
977	C₃×D₄	—	2	4	no	—
978	C₃×D₄	—	2	4	no	—
979	C₃×D₄	—	2	4	no	—
980	C₃×D₄	—	2	4	no	—
981	C₃×D₄	—	2	2	no	—
982	C₃×D₄	—	2	2	no	—
983	C₃×D₄	—	3	4	no	—
984	C₃×D₄	—	4	2	no	—
985	C₃×D₄	—	4	4	no	—
986	C₃×D₄	—	4	4	no	—
987	C₃×D₄	—	4	2	no	—
988	C₃×D₄	—	4	2	no	—
989	C₃×D₄	—	4	4	no	—
990	C₃×D₄	—	6	2	no	—
991	C₃×D₄	—	6	2	no	—
992	C₃×D₄	—	6	4	no	—
993	C₃×D₄	—	6	2	no	—
994	C₃×D₄	—	12	2	no	—
995	C₂×C₃×C₄	—	2	2	no	—
996	C₂×C₃×C₄	—	2	2	no	—
997	C₂×C₃×C₄	—	2	2	no	—
998	C₂×C₃×C₄	—	2	2	no	—
999	C₂×C₃×C₄	—	2	2	no	—
1000	C₂×C₃×C₄	—	2	2	no	—
1001	C₂×C₃×C₄	—	2	4	no	—
1002	C₂×C₃×C₄	—	2	2	no	—
1003	C₂×C₃×C₄	—	2	2	no	—
1004	C₂×C₃×C₄	—	2	2	no	—
1005	C₂×C₃×C₄	—	2	2	no	—
1006	C₂×C₃×C₄	—	2	4	no	—
1007	C₂×C₃×C₄	—	2	1	no	—
1008	C₂×C₃×C₄	—	2	1	no	—
1009	C₂×C₃×C₄	—	2	2	no	—
1010	C₂×C₃×C₄	—	2	2	no	—
1011	C₂×C₃×C₄	—	2	1	no	—
1012	C₂×C₃×C₄	—	2	1	no	—
1013	C₂×C₃×C₄	—	2	2	no	—
1014	C₂×C₃×C₄	—	2	4	no	—
1015	C₂×C₃×C₄	—	3	1	no	—
1016	C₂×C₃×C₄	—	3	1	no	—
1017	C₂×C₃×C₄	—	3	2	no	—
1018	C₂×C₃×C₄	—	3	1	no	—
1019	C₂×C₃×C₄	—	3	2	no	—
1020	C₂×C₃×C₄	—	3	1	no	—
1021	C₂×C₃×C₄	—	3	2	no	—
1022	C₂×C₃×C₄	—	3	2	no	—
1023	C₂×C₃×C₄	—	3	1	no	—
1024	C₂×C₃×C₄	—	3	1	no	—
1025	C₂×C₃×C₄	—	4	2	no	—
1026	C₂×C₃×C₄	—	4	2	no	—
1027	C₂×C₃×C₄	—	4	2	no	—
1028	C₂×C₃×C₄	—	4	2	no	—
1029	C₂×C₃×C₄	—	4	4	no	—
1030	C₂×C₃×C₄	—	4	2	no	—
1031	C₂×C₃×C₄	—	6	4	no	—
1032	C₂×C₃×C₄	—	6	2	no	—
1033	C₂×C₃×C₄	—	6	4	no	—
1034	C₂×C₃×C₄	—	6	2	no	—
1035	C₂×C₃×C₄	—	6	4	no	—
1036	C₂×C₃×C₄	—	6	2	no	—
1037	C₂×C₃×C₄	—	6	2	no	—
1038	C₂×C₃×C₄	—	6	2	no	—
1039	C₂×C₃×C₄	—	6	2	no	—
1040	C₂×C₃×C₄	—	12	2	no	—
1041	C₂×C₃×C₄	—	12	2	no	—
1042	C₂×C₃×C₄	—	12	2	no	—
1043	C₂×C₃×C₄	—	12	1	no	—
1044	C₂×C₃×C₄	#237	1	4	yes	complemented
1045	C₂×C₃×C₄	C₃×#41	1	4	yes	complemented
1046	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1047	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1048	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1049	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1050	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1051	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1052	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1053	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1054	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1055	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1056	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1057	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1058	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1059	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1060	#67	—	2	2	no	—
1061	#67	—	2	4	no	—
1062	#67	—	2	2	no	—
1063	#67	—	2	2	no	—
1064	#67	—	4	2	no	—
1065	#67	C₃×#41	1	4	yes	complemented
1066	C₂×Dic₃	—	2	2	no	—
1067	C₂×Dic₃	—	2	4	no	—
1068	C₂×Dic₃	—	2	4	no	—
1069	C₂×Dic₃	—	2	2	no	—
1070	C₂×Dic₃	—	4	1	no	—
1071	C₂×Dic₃	—	4	2	no	—
1072	C₂×Dic₃	—	4	2	no	—
1073	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1074	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1075	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1076	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1077	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1078	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1079	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1080	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1081	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1082	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1083	C₄×D₃	—	2	4	no	—
1084	C₄×D₃	—	2	2	no	—
1085	C₄×D₃	—	2	2	no	—
1086	C₄×D₃	—	2	2	no	—
1087	C₄×D₃	—	2	2	no	—
1088	C₄×D₃	—	4	2	no	—
1089	Dic₆	—	2	4	no	—
1090	Dic₆	—	4	2	no	—
1091	C₂×C₃²	—	2	2	no	—
1092	C₂×C₃²	—	2	2	no	—
1093	C₂×C₃²	—	4	1	no	—
1094	C₂×C₃²	—	4	2	no	—
1095	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1096	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1097	C₂×C₃²	#585	1	1	yes	characteristic
1098	C₃×D₃	—	2	2	no	—
1099	C₃×D₃	—	4	1	no	—
1100	C₂⁴	—	3	1	no	—
1101	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1102	#41	—	2	4	no	—
1103	#41	—	6	8	no	—
1104	C₂×Q₈	—	3	2	no	—
1105	C₂×Q₈	—	3	2	no	—
1106	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1107	C₂×D₄	—	3	1	no	—
1108	C₂×D₄	—	3	2	no	—
1109	C₂×D₄	—	3	1	no	—
1110	C₂×D₄	—	3	1	no	—
1111	C₂×D₄	—	3	1	no	—
1112	C₂×D₄	—	3	2	no	—
1113	C₂×D₄	—	6	4	no	—
1114	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1115	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1116	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1117	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1118	C₂²×C₄	—	2	4	no	—
1119	C₂²×C₄	—	3	2	no	—
1120	C₂²×C₄	—	3	1	no	—
1121	C₂²×C₄	—	3	2	no	—
1122	C₂²×C₄	—	3	1	no	—
1123	C₂²×C₄	—	3	1	no	—
1124	C₂²×C₄	—	3	2	no	—
1125	C₂²×C₄	—	3	2	no	—
1126	C₂²×C₄	—	3	1	no	—
1127	C₂²×C₄	—	3	2	no	—
1128	C₂²×C₄	—	3	1	no	—
1129	C₂²×C₄	—	3	1	no	—
1130	C₂²×C₄	—	3	1	no	—
1131	C₂²×C₄	—	3	2	no	—
1132	C₂²×C₄	—	6	4	no	—
1133	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1134	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1135	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1136	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1137	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1138	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1139	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1140	C₄⋊C₄	—	3	1	no	—
1141	C₄⋊C₄	—	3	1	no	—
1142	C₄⋊C₄	—	3	1	no	—
1143	C₄⋊C₄	—	3	1	no	—
1144	C₄⋊C₄	—	3	1	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	1	no	—
1150	C₄⋊C₄	—	3	1	no	—
1151	C₄⋊C₄	—	3	1	no	—
1152	C₄⋊C₄	—	3	2	no	—
1153	C₄⋊C₄	—	3	2	no	—
1154	C₄⋊C₄	—	3	2	no	—
1155	C₄⋊C₄	—	3	2	no	—
1156	C₄⋊C₄	—	3	2	no	—
1157	C₄⋊C₄	—	3	2	no	—
1158	C₄⋊C₄	—	3	2	no	—
1159	C₄⋊C₄	—	3	2	no	—
1160	C₄⋊C₄	—	3	2	no	—
1161	C₄⋊C₄	—	3	2	no	—
1162	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1163	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1164	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1165	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1166	C₂²⋊C₄	—	3	2	no	—
1167	C₂²⋊C₄	—	3	1	no	—
1168	C₂²⋊C₄	—	3	2	no	—
1169	C₂²⋊C₄	—	3	2	no	—
1170	C₂²⋊C₄	—	3	2	no	—
1171	C₂²⋊C₄	—	3	1	no	—
1172	C₂²⋊C₄	—	3	1	no	—
1173	C₂²⋊C₄	—	3	1	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	1	no	—
1179	C₂²⋊C₄	—	3	2	no	—
1180	C₂²⋊C₄	—	3	2	no	—
1181	C₂²⋊C₄	—	3	1	no	—
1182	C₂²⋊C₄	—	3	1	no	—
1183	C₂²⋊C₄	—	3	1	no	—
1184	C₂²⋊C₄	—	3	2	no	—
1185	C₂²⋊C₄	—	3	2	no	—
1186	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1187	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1188	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1189	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1190	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1191	C₄²	—	3	2	no	—
1192	C₄²	—	3	1	no	—
1193	C₄²	—	3	2	no	—
1194	C₄²	—	3	2	no	—
1195	C₄²	—	3	1	no	—
1196	C₄²	—	3	2	no	—
1197	C₄²	—	3	2	no	—
1198	C₄²	—	3	2	no	—
1199	C₄²	—	3	2	no	—
1200	C₄²	—	3	1	no	—
1201	C₄²	—	3	1	no	—
1202	C₄²	—	3	2	no	—
1203	C₄²	C₂²×C₃×D₃	1	2	yes	—
1204	C₂²×C₃	—	2	1	no	—
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	1	no	—
1210	C₂²×C₃	—	2	1	no	—
1211	C₂²×C₃	—	2	1	no	—
1212	C₂²×C₃	—	2	2	no	—
1213	C₂²×C₃	—	2	1	no	—
1214	C₂²×C₃	—	2	2	no	—
1215	C₂²×C₃	—	2	2	no	—
1216	C₂²×C₃	—	2	1	no	—
1217	C₂²×C₃	—	2	2	no	—
1218	C₂²×C₃	—	2	1	no	—
1219	C₂²×C₃	—	2	2	no	—
1220	C₂²×C₃	—	2	1	no	—
1221	C₂²×C₃	—	2	1	no	—
1222	C₂²×C₃	—	2	2	no	—
1223	C₂²×C₃	—	2	2	no	—
1224	C₂²×C₃	—	2	1	no	—
1225	C₂²×C₃	—	2	2	no	—
1226	C₂²×C₃	—	2	2	no	—
1227	C₂²×C₃	—	2	1	no	—
1228	C₂²×C₃	—	3	2	no	—
1229	C₂²×C₃	—	4	1	no	—
1230	C₂²×C₃	—	4	1	no	—
1231	C₂²×C₃	—	4	1	no	—
1232	C₂²×C₃	—	4	1	no	—
1233	C₂²×C₃	—	4	1	no	—
1234	C₂²×C₃	—	4	1	no	—
1235	C₂²×C₃	—	4	2	no	—
1236	C₂²×C₃	—	4	2	no	—
1237	C₂²×C₃	—	4	2	no	—
1238	C₂²×C₃	—	4	4	no	—
1239	C₂²×C₃	—	4	4	no	—
1240	C₂²×C₃	—	4	8	no	—
1241	C₂²×C₃	—	6	1	no	—
1242	C₂²×C₃	—	6	1	no	—
1243	C₂²×C₃	—	6	1	no	—
1244	C₂²×C₃	—	6	1	no	—
1245	C₂²×C₃	—	6	1	no	—
1246	C₂²×C₃	—	12	4	no	—
1247	C₂²×C₃	C₂×#237	1	2	yes	—
1248	C₂²×C₃	D₃×#41	1	2	yes	—
1249	C₂²×C₃	C₂×C₃×#41	1	2	yes	—
1250	C₂²×C₃	C₂×C₃×#41	1	2	yes	—
1251	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1252	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1253	C₂×D₃	—	2	1	no	—
1254	C₂×D₃	—	2	1	no	—
1255	C₂×D₃	—	2	1	no	—
1256	C₂×D₃	—	2	1	no	—
1257	C₂×D₃	—	2	1	no	—
1258	C₂×D₃	—	4	4	no	—
1259	C₂×D₃	C₂×C₃×#41	1	2	yes	—
1260	C₃×C₄	—	2	1	no	—
1261	C₃×C₄	—	2	1	no	—
1262	C₃×C₄	—	2	2	no	—
1263	C₃×C₄	—	2	2	no	—
1264	C₃×C₄	—	2	2	no	—
1265	C₃×C₄	—	2	2	no	—
1266	C₃×C₄	—	2	1	no	—
1267	C₃×C₄	—	2	1	no	—
1268	C₃×C₄	—	2	2	no	—
1269	C₃×C₄	—	2	2	no	—
1270	C₃×C₄	—	2	2	no	—
1271	C₃×C₄	—	2	2	no	—
1272	C₃×C₄	—	3	2	no	—
1273	C₃×C₄	—	4	1	no	—
1274	C₃×C₄	—	4	1	no	—
1275	C₃×C₄	—	4	2	no	—
1276	C₃×C₄	—	4	2	no	—
1277	C₃×C₄	—	4	2	no	—
1278	C₃×C₄	—	6	1	no	—
1279	C₃×C₄	—	6	1	no	—
1280	C₃×C₄	—	6	2	no	—
1281	C₃×C₄	—	6	1	no	—
1282	C₃×C₄	—	6	2	no	—
1283	C₃×C₄	—	6	2	no	—
1284	C₃×C₄	—	6	1	no	—
1285	C₃×C₄	—	6	2	no	—
1286	C₃×C₄	—	6	1	no	—
1287	C₃×C₄	C₂×#237	1	2	yes	—
1288	C₃×C₄	C₂×#237	1	2	yes	—
1289	C₃×C₄	C₂×C₃×#41	1	2	yes	—
1290	C₃×C₄	C₂×C₃×#41	1	2	yes	—
1291	Dic₃	—	2	2	no	—
1292	Dic₃	—	2	1	no	—
1293	Dic₃	—	2	1	no	—
1294	Dic₃	—	2	2	no	—
1295	Dic₃	—	2	1	no	—
1296	Dic₃	—	2	1	no	—
1297	Dic₃	—	2	2	no	—
1298	Dic₃	—	2	2	no	—
1299	Dic₃	—	2	1	no	—
1300	Dic₃	C₂×C₃×#41	1	2	yes	—
1301	C₃²	#3475	1	1	yes	characteristic, complemented, Sylow
1302	C₂³	—	2	2	no	—
1303	C₂³	—	2	2	no	—
1304	C₂³	—	3	1	no	—
1305	C₂³	—	3	1	no	—
1306	C₂³	—	4	1	no	—
1307	C₂³	—	6	2	no	—
1308	C₂³	—	6	2	no	—
1309	C₂³	—	12	1	no	—
1310	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1311	C₂³	C₂³×C₃×D₃	1	2	yes	—
1312	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1313	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1314	Q₈	—	2	2	no	—
1315	Q₈	—	6	4	no	—
1316	Q₈	—	12	2	no	—
1317	D₄	—	2	4	no	—
1318	D₄	—	2	4	no	—
1319	D₄	—	2	2	no	—
1320	D₄	—	3	4	no	—
1321	D₄	—	4	2	no	—
1322	D₄	—	6	2	no	—
1323	D₄	—	6	2	no	—
1324	D₄	—	6	4	no	—
1325	D₄	—	6	2	no	—
1326	D₄	—	12	2	no	—
1327	C₂×C₄	—	2	2	no	—
1328	C₂×C₄	—	2	2	no	—
1329	C₂×C₄	—	2	2	no	—
1330	C₂×C₄	—	2	2	no	—
1331	C₂×C₄	—	2	2	no	—
1332	C₂×C₄	—	2	4	no	—
1333	C₂×C₄	—	3	1	no	—
1334	C₂×C₄	—	3	1	no	—
1335	C₂×C₄	—	3	2	no	—
1336	C₂×C₄	—	3	2	no	—
1337	C₂×C₄	—	3	1	no	—
1338	C₂×C₄	—	3	1	no	—
1339	C₂×C₄	—	3	2	no	—
1340	C₂×C₄	—	3	2	no	—
1341	C₂×C₄	—	3	1	no	—
1342	C₂×C₄	—	3	1	no	—
1343	C₂×C₄	—	6	4	no	—
1344	C₂×C₄	—	6	2	no	—
1345	C₂×C₄	—	6	4	no	—
1346	C₂×C₄	—	6	2	no	—
1347	C₂×C₄	—	6	4	no	—
1348	C₂×C₄	—	6	2	no	—
1349	C₂×C₄	—	6	2	no	—
1350	C₂×C₄	—	6	2	no	—
1351	C₂×C₄	—	6	2	no	—
1352	C₂×C₄	—	12	2	no	—
1353	C₂×C₄	—	12	2	no	—
1354	C₂×C₄	—	12	2	no	—
1355	C₂×C₄	—	12	1	no	—
1356	C₂×C₄	C₃×#237	1	4	yes	complemented
1357	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1358	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1359	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1360	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1361	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1362	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1363	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1364	C₂×C₃	—	2	2	no	—
1365	C₂×C₃	—	2	2	no	—
1366	C₂×C₃	—	2	2	no	—
1367	C₂×C₃	—	2	2	no	—
1368	C₂×C₃	—	2	1	no	—
1369	C₂×C₃	—	2	1	no	—
1370	C₂×C₃	—	2	1	no	—
1371	C₂×C₃	—	4	2	no	—
1372	C₂×C₃	—	4	2	no	—
1373	C₂×C₃	—	4	2	no	—
1374	C₂×C₃	—	4	1	no	—
1375	C₂×C₃	—	4	2	no	—
1376	C₂×C₃	—	4	1	no	—
1377	C₂×C₃	—	4	2	no	—
1378	C₂×C₃	—	6	2	no	—
1379	C₂×C₃	—	8	2	no	—
1380	C₂×C₃	—	12	1	no	—
1381	C₂×C₃	C₂²×#237	1	1	yes	characteristic
1382	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1383	C₂×C₃	#5964	1	1	yes	characteristic
1384	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1385	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1386	C₂×C₃	C₃×#585	1	1	yes	characteristic
1387	D₃	—	2	2	no	—
1388	D₃	—	4	1	no	—
1389	C₂²	—	2	1	no	—
1390	C₂²	—	2	1	no	—
1391	C₂²	—	2	1	no	—
1392	C₂²	—	2	1	no	—
1393	C₂²	—	2	1	no	—
1394	C₂²	—	2	2	no	—
1395	C₂²	—	2	2	no	—
1396	C₂²	—	2	1	no	—
1397	C₂²	—	2	2	no	—
1398	C₂²	—	2	1	no	—
1399	C₂²	—	3	2	no	—
1400	C₂²	—	4	4	no	—
1401	C₂²	—	6	1	no	—
1402	C₂²	—	6	1	no	—
1403	C₂²	—	6	1	no	—
1404	C₂²	—	6	1	no	—
1405	C₂²	—	6	1	no	—
1406	C₂²	—	12	4	no	—
1407	C₂²	C₂×C₃×#237	1	2	yes	—
1408	C₂²	C₃×D₃×#41	1	2	yes	—
1409	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1410	C₄	—	2	1	no	—
1411	C₄	—	2	1	no	—
1412	C₄	—	2	2	no	—
1413	C₄	—	2	2	no	—
1414	C₄	—	2	2	no	—
1415	C₄	—	3	2	no	—
1416	C₄	—	6	1	no	—
1417	C₄	—	6	1	no	—
1418	C₄	—	6	2	no	—
1419	C₄	—	6	1	no	—
1420	C₄	—	6	2	no	—
1421	C₄	—	6	2	no	—
1422	C₄	—	6	1	no	—
1423	C₄	—	6	2	no	—
1424	C₄	—	6	1	no	—
1425	C₄	C₂×C₃×#237	1	2	yes	—
1426	C₄	C₂×C₃×#237	1	2	yes	—
1427	C₃	—	2	1	no	—
1428	C₃	#86021	1	1	yes	characteristic, direct product factor
1429	C₃	C₃×#3475	1	1	yes	characteristic, complemented
1430	C₂	—	2	2	no	—
1431	C₂	—	2	2	no	—
1432	C₂	—	4	1	no	—
1433	C₂	—	4	2	no	—
1434	C₂	—	6	2	no	—
1435	C₂	—	12	1	no	—
1436	C₂	C₂²×C₃×#237	1	1	yes	characteristic
1437	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1438	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	C₃²×#525	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#525	D₃
hypocenter	C₃	C₃×#3475
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₃×#525

Complements

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

N	H ≅ G/N	type
1. C₃²×#525	C₂	semidirect
2. C₃×#5828	C₂	semidirect
3. C₃×Dic₃×#41	C₂	semidirect
4. C₂×C₃×C₄×#67	C₂	semidirect
5. C₂×C₃×#926	C₂	semidirect
6. C₃×#5658	C₂	semidirect
7. C₃×#5650	C₂	semidirect
8. C₃×#5642	C₂	semidirect
9. C₃×#5641	C₂	semidirect
10. C₃×#5639	C₂	semidirect
11. C₃×#5635	C₂	semidirect
12. C₃×#5618	C₂	semidirect
13. C₃×#5616	C₂	semidirect
14. C₃×#5614	C₂	semidirect
15. C₃×#5611	C₂	semidirect
16. C₃×#5591	C₂	semidirect
17. C₃×#5587	C₂	semidirect
18. C₃×#5557	C₂	semidirect
19. C₃×#5538	C₂	semidirect
20. C₃×#5538	C₂	semidirect
21. C₃×C₄×#237	C₂	semidirect
22. C₃×D₃×#117	C₂	semidirect
23. C₃×#5517	C₂	semidirect
25. #86021	C₃	direct (N × H)
32. C₃²×C₂²⋊Q₈	C₂²	semidirect
33. C₃²×C₂²⋊Q₈	C₂²	semidirect
34. C₃²×#121	C₂²	semidirect
35. C₃²×#121	C₂²	semidirect
37. C₃²×C₄×D₄	C₂²	semidirect
38. C₃²×C₄×D₄	C₂²	semidirect
42. C₃×#946	C₂²	semidirect
43. C₃×#946	C₂²	semidirect
44. C₃×Q₈×Dic₃	C₂²	semidirect
45. C₃×Q₈×Dic₃	C₂²	semidirect
49. C₃×#938	C₂²	semidirect
50. C₃×#938	C₂²	semidirect
52. C₃×#936	C₂²	semidirect
54. C₃×#935	C₂²	semidirect
55. C₃×#935	C₂²	semidirect
58. C₃×D₄×Dic₃	C₂²	semidirect
59. C₃×D₄×Dic₃	C₂²	semidirect
60. C₃×D₄×Dic₃	C₂²	semidirect
69. C₃×C₄×#67	C₂²	semidirect
70. C₃×C₄×#67	C₂²	semidirect
75. C₃×#926	C₂²	semidirect
76. C₃×#926	C₂²	semidirect
77. C₃×#926	C₂²	semidirect
78. C₃×#926	C₂²	semidirect
79. C₂×C₃×C₄⋊Dic₃	C₂²	semidirect
80. C₂×C₃×C₄⋊Dic₃	C₂²	semidirect
83. C₂×C₃×C₄×Dic₃	C₂²	semidirect
84. C₂×C₃×C₄×Dic₃	C₂²	semidirect
85. C₃×#898	C₂²	semidirect
86. C₃×#898	C₂²	semidirect
87. C₃×#897	C₂²	semidirect
88. C₃×#892	C₂²	semidirect
89. C₃×#892	C₂²	semidirect
90. C₃×#892	C₂²	semidirect
91. C₃×D₃×C₄⋊C₄	C₂²	semidirect
92. C₃×D₃×C₄⋊C₄	C₂²	semidirect
93. C₃×#890	C₂²	semidirect
94. C₃×#890	C₂²	semidirect
95. C₃×#890	C₂²	semidirect
96. C₃×#889	C₂²	semidirect
97. C₃×#889	C₂²	semidirect
98. C₃×#888	C₂²	semidirect
99. C₃×#888	C₂²	semidirect
100. C₃×#887	C₂²	semidirect
102. C₃×#886	C₂²	semidirect
104. C₃×#885	C₂²	semidirect
106. C₃×#883	C₂²	semidirect
108. C₃×#67⋊C₄	C₂²	semidirect
110. C₃×#879	C₂²	semidirect
111. C₃×#879	C₂²	semidirect
112. C₃×#879	C₂²	semidirect
113. C₃×#879	C₂²	semidirect
116. C₃×#878	C₂²	semidirect
117. C₃×#878	C₂²	semidirect
119. C₃×#877	C₂²	semidirect
120. C₃×#877	C₂²	semidirect
121. C₃×#872	C₂²	semidirect
122. C₃×C₄²×D₃	C₂²	semidirect
123. C₃×C₄×Dic₆	C₂²	semidirect
124. C₃×C₄×Dic₆	C₂²	semidirect
143. C₃×#525	D₃	semidirect
144. C₃×#525	C₂×C₃	semidirect
150. #5828	C₂×C₃	semidirect
151. Dic₃×#41	C₂×C₃	semidirect
152. C₂×C₄×#67	C₂×C₃	semidirect
153. C₂×#926	C₂×C₃	semidirect
154. #5658	C₂×C₃	semidirect
155. #5650	C₂×C₃	semidirect
156. #5642	C₂×C₃	semidirect
157. #5641	C₂×C₃	semidirect
158. #5639	C₂×C₃	semidirect
159. #5635	C₂×C₃	semidirect
160. #5618	C₂×C₃	semidirect
161. #5616	C₂×C₃	semidirect
162. #5614	C₂×C₃	semidirect
163. #5611	C₂×C₃	semidirect
164. #5591	C₂×C₃	semidirect
165. #5587	C₂×C₃	semidirect
166. #5557	C₂×C₃	semidirect
167. #5538	C₂×C₃	semidirect
168. #5538	C₂×C₃	semidirect
169. C₄×#237	C₂×C₃	semidirect
170. D₃×#117	C₂×C₃	semidirect
171. #5517	C₂×C₃	semidirect
324. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
325. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
326. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
327. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
335. C₃×#121	C₂×D₃	semidirect
336. C₃×#121	C₂×D₃	semidirect
337. C₃×#121	C₂²×C₃	semidirect
338. C₃×#121	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
403. #946	C₂²×C₃	semidirect
404. #946	C₂²×C₃	semidirect
405. Q₈×Dic₃	C₂²×C₃	semidirect
406. Q₈×Dic₃	C₂²×C₃	semidirect
410. #938	C₂²×C₃	semidirect
411. #938	C₂²×C₃	semidirect
413. #936	C₂²×C₃	semidirect
415. #935	C₂²×C₃	semidirect
416. #935	C₂²×C₃	semidirect
419. D₄×Dic₃	C₂²×C₃	semidirect
420. D₄×Dic₃	C₂²×C₃	semidirect
421. D₄×Dic₃	C₂²×C₃	semidirect
430. C₄×#67	C₂²×C₃	semidirect
431. C₄×#67	C₂²×C₃	semidirect
436. #926	C₂²×C₃	semidirect
437. #926	C₂²×C₃	semidirect
438. #926	C₂²×C₃	semidirect
439. #926	C₂²×C₃	semidirect
440. C₂×C₄⋊Dic₃	C₂²×C₃	semidirect
441. C₂×C₄⋊Dic₃	C₂²×C₃	semidirect
444. C₂×C₄×Dic₃	C₂²×C₃	semidirect
445. C₂×C₄×Dic₃	C₂²×C₃	semidirect
446. #898	C₂²×C₃	semidirect
447. #898	C₂²×C₃	semidirect
448. #897	C₂²×C₃	semidirect
449. #892	C₂²×C₃	semidirect
450. #892	C₂²×C₃	semidirect
451. #892	C₂²×C₃	semidirect
452. D₃×C₄⋊C₄	C₂²×C₃	semidirect
453. D₃×C₄⋊C₄	C₂²×C₃	semidirect
454. #890	C₂²×C₃	semidirect
455. #890	C₂²×C₃	semidirect
456. #890	C₂²×C₃	semidirect
457. #889	C₂²×C₃	semidirect
458. #889	C₂²×C₃	semidirect
459. #888	C₂²×C₃	semidirect
460. #888	C₂²×C₃	semidirect
461. #887	C₂²×C₃	semidirect
463. #886	C₂²×C₃	semidirect
465. #885	C₂²×C₃	semidirect
467. #883	C₂²×C₃	semidirect
469. #67⋊C₄	C₂²×C₃	semidirect
471. #879	C₂²×C₃	semidirect
472. #879	C₂²×C₃	semidirect
473. #879	C₂²×C₃	semidirect
474. #879	C₂²×C₃	semidirect
477. #878	C₂²×C₃	semidirect
478. #878	C₂²×C₃	semidirect
480. #877	C₂²×C₃	semidirect
481. #877	C₂²×C₃	semidirect
482. #872	C₂²×C₃	semidirect
483. C₄²×D₃	C₂²×C₃	semidirect
484. C₄×Dic₆	C₂²×C₃	semidirect
485. C₄×Dic₆	C₂²×C₃	semidirect
509. C₂×C₃²×C₄	#41	semidirect
522. C₃×#67	#41	semidirect
565. #525	C₃×D₃	semidirect
878. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
879. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
885. #121	C₂×C₃×D₃	semidirect
886. #121	C₂×C₃×D₃	semidirect
911. C₄×D₄	C₂×C₃×D₃	semidirect
912. C₄×D₄	C₂×C₃×D₃	semidirect
1044. C₂×C₃×C₄	#237	semidirect
1045. C₂×C₃×C₄	C₃×#41	semidirect
1065. #67	C₃×#41	semidirect
1301. C₃²	#3475	semidirect
1356. C₂×C₄	C₃×#237	semidirect
1428. C₃	#86021	direct (N × H)
1429. C₃	C₃×#3475	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#525	2
C₃×#5828	2
C₃×Dic₃×#41	2
C₂×C₃×C₄×#67	2
C₂×C₃×#926	2
C₃×#5658	2
C₃×#5650	2
C₃×#5642	2
C₃×#5641	2
C₃×#5639	2
C₃×#5635	2
C₃×#5618	2
C₃×#5616	2
C₃×#5614	2
C₃×#5611	2
C₃×#5591	2
C₃×#5587	2
C₃×#5557	2
C₃×#5538	2
C₃×C₄×#237	2
C₃×D₃×#117	2
C₃×#5517	2
C₃×#3475	3
#86021	3

Subgroups — C3×#86021 #11903460

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86021 #11903460