Subgroups — C₃×#86170 #11909421

Order 1152.

2201 conjugacy classes of subgroups.

The subgroup lattice has 1396 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×#5693	C₂	1	2	yes	maximal, complemented
5	C₃×#5679	C₂	1	2	yes	maximal, complemented
6	C₃×#5661	C₂	1	2	yes	maximal, complemented
7	C₃×#5659	C₂	1	2	yes	maximal, complemented
8	C₃×#5638	C₂	1	2	yes	maximal, complemented
9	C₃×#5613	C₂	1	2	yes	maximal, complemented
10	C₃×#5584	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5579	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5565	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5551	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5550	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5550	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5542	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#5541	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#5534	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5523	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5521	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#5518	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5479	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×C₄×#235	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#3521	—	3	1	no	maximal
25	#86170	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂×C₃×#235	C₂²	1	1	yes	characteristic
27	C₂×C₃×#235	C₂²	1	1	yes	characteristic
28	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic
29	C₃²×#126	C₂²	1	1	yes	characteristic
30	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
31	C₃²×#125	C₂²	1	1	yes	characteristic, complemented
32	C₃²×#124	C₂²	1	1	yes	characteristic
33	C₃²×#123	C₂²	1	1	yes	characteristic
34	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
35	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
36	C₃²×#121	C₂²	1	1	yes	characteristic
37	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
38	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
39	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
40	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
41	C₃²×#117	C₂²	1	1	yes	characteristic
42	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₃²×C₄²	C₂²	1	1	yes	characteristic, complemented
44	C₃×#946	C₂²	1	2	yes	complemented
45	C₃×#946	C₂²	1	2	yes	complemented
46	C₃×#939	C₂²	1	2	yes	complemented
47	C₃×#938	C₂²	1	2	yes	complemented
48	C₃×#937	C₂²	1	2	yes	—
49	C₃×#937	C₂²	1	2	yes	—
50	C₃×#936	C₂²	1	2	yes	—
51	C₃×#935	C₂²	1	2	yes	—
52	C₃×#930	C₂²	1	1	yes	characteristic
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	1	yes	characteristic
59	C₃×#926	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₃×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
61	C₃×#924	C₂²	1	1	yes	characteristic
62	C₃×#924	C₂²	1	1	yes	characteristic
63	C₃×#924	C₂²	1	1	yes	characteristic, complemented
64	C₃×#924	C₂²	1	1	yes	characteristic, complemented
65	C₃×#898	C₂²	1	2	yes	complemented
66	C₃×#898	C₂²	1	2	yes	complemented
67	C₃×#898	C₂²	1	2	yes	complemented
68	C₃×#898	C₂²	1	2	yes	complemented
69	C₃×#896	C₂²	1	2	yes	complemented
70	C₃×#896	C₂²	1	2	yes	complemented
71	C₃×#896	C₂²	1	2	yes	complemented
72	C₃×#894	C₂²	1	2	yes	—
73	C₃×#894	C₂²	1	2	yes	—
74	C₃×#893	C₂²	1	2	yes	—
75	C₃×#893	C₂²	1	2	yes	—
76	C₃×#892	C₂²	1	2	yes	complemented
77	C₃×#892	C₂²	1	2	yes	complemented
78	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
79	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
80	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
81	C₃×#889	C₂²	1	2	yes	complemented
82	C₃×#889	C₂²	1	2	yes	complemented
83	C₃×#889	C₂²	1	2	yes	complemented
84	C₃×#887	C₂²	1	2	yes	complemented
85	C₃×#885	C₂²	1	2	yes	complemented
86	C₃×#884	C₂²	1	2	yes	—
87	C₃×#884	C₂²	1	2	yes	—
88	C₃×#883	C₂²	1	2	yes	complemented
89	C₃×#883	C₂²	1	2	yes	complemented
90	C₃×#883	C₂²	1	2	yes	complemented
91	C₃×#883	C₂²	1	2	yes	complemented
92	C₃×#67⋊C₄	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×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
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×#879	C₂²	1	2	yes	—
100	C₃×#879	C₂²	1	2	yes	—
101	C₃×#879	C₂²	1	2	yes	—
102	C₃×#879	C₂²	1	2	yes	—
103	C₃×#879	C₂²	1	2	yes	complemented
104	C₃×#877	C₂²	1	2	yes	complemented
105	C₃×#876	C₂²	1	2	yes	complemented
106	C₃×#875	C₂²	1	1	yes	characteristic
107	C₃×#875	C₂²	1	1	yes	characteristic
108	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
109	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
110	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
111	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
112	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
113	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
114	C₃×#872	C₂²	1	2	yes	complemented
115	C₃×#872	C₂²	1	2	yes	complemented
116	C₃×C₄²×D₃	C₂²	1	2	yes	complemented
117	C₃×#870	C₂²	1	1	yes	characteristic, complemented
118	C₃×#870	C₂²	1	1	yes	characteristic, complemented
119	C₃×#869	C₂²	1	1	yes	characteristic, complemented
120	C₃×#869	C₂²	1	1	yes	characteristic, complemented
121	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
122	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
123	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
124	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
125	C₃×#556	—	3	1	no	—
126	C₃×#556	—	3	1	no	—
127	C₃×#554	—	3	1	no	—
128	C₃×#553	—	3	2	no	—
129	C₃×#553	—	3	1	no	—
130	C₃×#552	—	3	2	no	—
131	C₃×#552	—	3	1	no	—
132	C₃×#551	—	3	2	no	—
133	C₃×#551	—	3	2	no	—
134	C₃×#547	—	3	1	no	—
135	C₃×#546	—	3	1	no	—
136	C₃×#546	—	3	1	no	—
137	C₃×#542	—	3	1	no	—
138	C₃×#541	—	3	1	no	—
139	C₃×#539	—	3	2	no	—
140	C₃×#538	—	3	2	no	—
141	C₃×#529	—	2	1	no	—
142	C₃×#529	—	3	2	no	—
143	C₃×#529	—	3	1	no	—
144	C₃×#529	D₃	1	1	yes	characteristic, complemented
145	C₃×#529	C₂×C₃	1	1	yes	characteristic, complemented
146	C₂×C₃×#126	—	3	2	no	—
147	C₃×#520	—	3	1	no	—
148	C₃×#518	—	3	1	no	—
149	C₃×C₄×#41	—	3	1	no	—
150	#5706	C₂×C₃	1	2	yes	complemented
151	D₃×#126	C₂×C₃	1	2	yes	complemented
152	#5693	C₂×C₃	1	2	yes	complemented
153	#5679	C₂×C₃	1	2	yes	complemented
154	#5661	C₂×C₃	1	2	yes	complemented
155	#5659	C₂×C₃	1	2	yes	complemented
156	#5638	C₂×C₃	1	2	yes	complemented
157	#5613	C₂×C₃	1	2	yes	complemented
158	#5584	C₂×C₃	1	1	yes	characteristic, complemented
159	#5579	C₂×C₃	1	1	yes	characteristic, complemented
160	#5565	C₂×C₃	1	1	yes	characteristic, complemented
161	#5551	C₂×C₃	1	1	yes	characteristic, complemented
162	#5550	C₂×C₃	1	1	yes	characteristic, complemented
163	#5550	C₂×C₃	1	1	yes	characteristic, complemented
164	#5542	C₂×C₃	1	1	yes	characteristic, complemented
165	#5541	C₂×C₃	1	1	yes	characteristic, complemented
166	#5534	C₂×C₃	1	1	yes	characteristic, complemented
167	#5523	C₂×C₃	1	1	yes	characteristic, complemented
168	#5521	C₂×C₃	1	1	yes	characteristic, complemented
169	#5518	C₂×C₃	1	1	yes	characteristic, complemented
170	#5479	C₂×C₃	1	1	yes	characteristic, complemented
171	C₄×#235	C₂×C₃	1	1	yes	characteristic, complemented
172	C₂³×C₃×D₃	C₂³	1	2	yes	—
173	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
174	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
175	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
181	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
182	C₂×C₃×#67	C₂³	1	2	yes	—
183	C₂×C₃×#67	C₂³	1	2	yes	—
184	C₂×C₃×#67	C₂³	1	2	yes	—
185	C₂×C₃×#67	C₂³	1	2	yes	—
186	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
187	C₃×#235	—	2	4	no	—
188	C₃×#235	—	2	4	no	—
189	C₂×C₃×D₁₂	—	2	4	no	—
190	C₂×C₃×D₁₂	C₂³	1	2	yes	—
191	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
192	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
193	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
194	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
195	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
196	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
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	2	yes	—
200	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
201	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
202	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
203	C₂×C₃×Dic₆	C₂³	1	2	yes	—
204	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₃²×C₄²	C₂³	1	1	yes	characteristic
225	C₃²×C₄²	C₂³	1	1	yes	characteristic
226	C₃²×C₄²	C₂³	1	1	yes	characteristic
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	C₃×#217	C₂³	1	2	yes	—
231	C₃×#217	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×(C₂×D₃)⋊C₄	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×(C₂×D₃)⋊C₄	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	2	yes	—
252	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
253	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
254	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
255	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
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×Dic₃⋊C₄	C₂³	1	2	yes	—
264	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
265	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
266	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
267	C₃×Dic₃⋊C₄	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	2	yes	—
271	C₃×C₄×Dic₃	C₂³	1	2	yes	—
272	C₃×C₄×Dic₃	C₂³	1	2	yes	—
273	C₃×C₄×Dic₃	C₂³	1	2	yes	—
274	#3521	—	3	1	no	Sylow
275	C₂×C₃×#41	—	3	1	no	—
276	C₂×C₃×#41	—	3	1	no	—
277	C₂²×C₃×D₄	—	3	1	no	—
278	C₂×#235	C₂²×C₃	1	1	yes	characteristic
279	C₂×#235	C₂²×C₃	1	1	yes	characteristic
280	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic
281	C₃×C₄⋊Q₈	—	3	1	no	—
282	C₃×C₄⋊Q₈	—	3	1	no	—
283	C₃×#126	—	2	1	no	—
284	C₃×#126	—	2	1	no	—
285	C₃×#126	—	3	2	no	—
286	C₃×#126	—	3	2	no	—
287	C₃×#126	—	3	2	no	—
288	C₃×#126	—	3	2	no	—
289	C₃×#126	—	3	2	no	—
290	C₃×#126	—	3	2	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	C₂×D₃	1	1	yes	characteristic
296	C₃×#126	C₂×D₃	1	1	yes	characteristic, complemented
297	C₃×#126	C₂²×C₃	1	1	yes	characteristic
298	C₃×#126	C₂²×C₃	1	1	yes	characteristic, complemented
299	C₃×#125	—	2	1	no	—
300	C₃×#125	—	3	2	no	—
301	C₃×#125	—	3	2	no	—
302	C₃×#125	—	3	2	no	—
303	C₃×#125	—	3	1	no	—
304	C₃×#125	—	3	1	no	—
305	C₃×#125	C₂×D₃	1	1	yes	characteristic, complemented
306	C₃×#125	C₂²×C₃	1	1	yes	characteristic, complemented
307	C₃×#124	—	2	1	no	—
308	C₃×#124	—	3	2	no	—
309	C₃×#124	—	3	2	no	—
310	C₃×#124	—	3	1	no	—
311	C₃×#124	—	3	1	no	—
312	C₃×#124	C₂×D₃	1	1	yes	characteristic
313	C₃×#124	C₂²×C₃	1	1	yes	characteristic
314	C₃×#123	—	2	1	no	—
315	C₃×#123	—	2	1	no	—
316	C₃×#123	—	3	2	no	—
317	C₃×#123	—	3	2	no	—
318	C₃×#123	—	3	2	no	—
319	C₃×#123	—	3	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	C₂×D₃	1	1	yes	characteristic
325	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
326	C₃×#123	C₂²×C₃	1	1	yes	characteristic
327	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
328	C₃×C₂²⋊Q₈	—	2	1	no	—
329	C₃×C₂²⋊Q₈	—	3	2	no	—
330	C₃×C₂²⋊Q₈	—	3	2	no	—
331	C₃×C₂²⋊Q₈	—	3	1	no	—
332	C₃×C₂²⋊Q₈	—	3	1	no	—
333	C₃×C₂²⋊Q₈	—	3	1	no	—
334	C₃×C₂²⋊Q₈	—	3	1	no	—
335	C₃×C₂²⋊Q₈	—	3	2	no	—
336	C₃×C₂²⋊Q₈	—	3	2	no	—
337	C₃×C₂²⋊Q₈	—	3	2	no	—
338	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
339	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
340	C₃×#121	—	2	1	no	—
341	C₃×#121	—	3	2	no	—
342	C₃×#121	—	3	2	no	—
343	C₃×#121	—	3	1	no	—
344	C₃×#121	—	3	1	no	—
345	C₃×#121	—	3	2	no	—
346	C₃×#121	—	3	2	no	—
347	C₃×#121	C₂×D₃	1	1	yes	characteristic
348	C₃×#121	C₂²×C₃	1	1	yes	characteristic
349	C₃×#120	—	3	2	no	—
350	C₃×#120	—	3	2	no	—
351	C₃×C₄×Q₈	—	2	1	no	—
352	C₃×C₄×Q₈	—	3	2	no	—
353	C₃×C₄×Q₈	—	3	1	no	—
354	C₃×C₄×Q₈	—	3	1	no	—
355	C₃×C₄×Q₈	—	3	1	no	—
356	C₃×C₄×Q₈	—	3	1	no	—
357	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
358	C₃×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
359	C₃×C₄×D₄	—	2	1	no	—
360	C₃×C₄×D₄	—	2	1	no	—
361	C₃×C₄×D₄	—	2	1	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	2	no	—
366	C₃×C₄×D₄	—	3	2	no	—
367	C₃×C₄×D₄	—	3	2	no	—
368	C₃×C₄×D₄	—	3	2	no	—
369	C₃×C₄×D₄	—	3	2	no	—
370	C₃×C₄×D₄	—	3	1	no	—
371	C₃×C₄×D₄	—	3	1	no	—
372	C₃×C₄×D₄	—	3	1	no	—
373	C₃×C₄×D₄	—	3	1	no	—
374	C₃×C₄×D₄	—	3	1	no	—
375	C₃×C₄×D₄	—	3	1	no	—
376	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
377	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
378	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
379	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
380	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
381	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
382	C₃×#117	—	2	1	no	—
383	C₃×#117	—	2	1	no	—
384	C₃×#117	—	3	1	no	—
385	C₃×#117	—	3	1	no	—
386	C₃×#117	—	3	2	no	—
387	C₃×#117	—	3	2	no	—
388	C₃×#117	—	3	2	no	—
389	C₃×#117	—	3	2	no	—
390	C₃×#117	—	3	2	no	—
391	C₃×#117	C₂×D₃	1	1	yes	characteristic
392	C₃×#117	C₂×D₃	1	1	yes	characteristic, complemented
393	C₃×#117	C₂²×C₃	1	1	yes	characteristic
394	C₃×#117	C₂²×C₃	1	1	yes	characteristic, complemented
395	C₂×C₃×C₄⋊C₄	—	3	1	no	—
396	C₂×C₃×C₄⋊C₄	—	3	2	no	—
397	C₂×C₃×C₄⋊C₄	—	3	2	no	—
398	C₂×C₃×C₄⋊C₄	—	3	2	no	—
399	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
400	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
401	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
402	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
403	C₂×C₃×C₄²	—	2	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	#946	C₂²×C₃	1	2	yes	complemented
408	#946	C₂²×C₃	1	2	yes	complemented
409	#939	C₂²×C₃	1	2	yes	complemented
410	#938	C₂²×C₃	1	2	yes	complemented
411	#937	C₂²×C₃	1	2	yes	—
412	#937	C₂²×C₃	1	2	yes	—
413	#936	C₂²×C₃	1	2	yes	—
414	#935	C₂²×C₃	1	2	yes	—
415	#930	C₂²×C₃	1	1	yes	characteristic
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	1	yes	characteristic
422	#926	C₂²×C₃	1	1	yes	characteristic, complemented
423	C₂×C₄⋊Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
424	#924	C₂²×C₃	1	1	yes	characteristic
425	#924	C₂²×C₃	1	1	yes	characteristic
426	#924	C₂²×C₃	1	1	yes	characteristic, complemented
427	#924	C₂²×C₃	1	1	yes	characteristic, complemented
428	#898	C₂²×C₃	1	2	yes	complemented
429	#898	C₂²×C₃	1	2	yes	complemented
430	#898	C₂²×C₃	1	2	yes	complemented
431	#898	C₂²×C₃	1	2	yes	complemented
432	#896	C₂²×C₃	1	2	yes	complemented
433	#896	C₂²×C₃	1	2	yes	complemented
434	#896	C₂²×C₃	1	2	yes	complemented
435	#894	C₂²×C₃	1	2	yes	—
436	#894	C₂²×C₃	1	2	yes	—
437	#893	C₂²×C₃	1	2	yes	—
438	#893	C₂²×C₃	1	2	yes	—
439	#892	C₂²×C₃	1	2	yes	complemented
440	#892	C₂²×C₃	1	2	yes	complemented
441	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
442	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
443	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
444	#889	C₂²×C₃	1	2	yes	complemented
445	#889	C₂²×C₃	1	2	yes	complemented
446	#889	C₂²×C₃	1	2	yes	complemented
447	#887	C₂²×C₃	1	2	yes	complemented
448	#885	C₂²×C₃	1	2	yes	complemented
449	#884	C₂²×C₃	1	2	yes	—
450	#884	C₂²×C₃	1	2	yes	—
451	#883	C₂²×C₃	1	2	yes	complemented
452	#883	C₂²×C₃	1	2	yes	complemented
453	#883	C₂²×C₃	1	2	yes	complemented
454	#883	C₂²×C₃	1	2	yes	complemented
455	#67⋊C₄	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	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
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	#879	C₂²×C₃	1	2	yes	—
463	#879	C₂²×C₃	1	2	yes	—
464	#879	C₂²×C₃	1	2	yes	—
465	#879	C₂²×C₃	1	2	yes	—
466	#879	C₂²×C₃	1	2	yes	complemented
467	#877	C₂²×C₃	1	2	yes	complemented
468	#876	C₂²×C₃	1	2	yes	complemented
469	#875	C₂²×C₃	1	1	yes	characteristic
470	#875	C₂²×C₃	1	1	yes	characteristic
471	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
472	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
473	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
474	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
475	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
476	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
477	#872	C₂²×C₃	1	2	yes	complemented
478	#872	C₂²×C₃	1	2	yes	complemented
479	C₄²×D₃	C₂²×C₃	1	2	yes	complemented
480	#870	C₂²×C₃	1	1	yes	characteristic, complemented
481	#870	C₂²×C₃	1	1	yes	characteristic, complemented
482	#869	C₂²×C₃	1	1	yes	characteristic, complemented
483	#869	C₂²×C₃	1	1	yes	characteristic, complemented
484	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
485	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
486	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
487	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
488	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
489	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
490	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
491	C₂²×C₃×D₃	—	2	4	no	—
492	C₂²×C₃×D₃	—	4	2	no	—
493	C₂²×C₃×D₃	—	4	2	no	—
494	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
495	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
496	C₃²×Q₈	—	4	1	no	—
497	C₃²×D₄	—	4	1	no	—
498	C₃²×D₄	—	4	1	no	—
499	C₃²×D₄	—	4	1	no	—
500	C₂×C₃²×C₄	—	2	2	no	—
501	C₂×C₃²×C₄	—	2	2	no	—
502	C₂×C₃²×C₄	—	2	2	no	—
503	C₂×C₃²×C₄	—	4	1	no	—
504	C₂×C₃²×C₄	—	4	1	no	—
505	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
511	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
512	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
513	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
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	4	no	—
518	C₃×#67	—	2	4	no	—
519	C₃×#67	—	4	2	no	—
520	C₃×#67	—	4	2	no	—
521	C₂×C₃×Dic₃	—	4	2	no	—
522	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
523	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
524	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
525	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
526	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
527	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
528	C₃×D₁₂	—	2	4	no	—
529	C₃×D₁₂	—	2	2	no	—
530	C₃×D₁₂	#41	1	4	yes	—
531	C₃×C₄×D₃	—	2	4	no	—
532	C₃×C₄×D₃	—	2	4	no	—
533	C₃×C₄×D₃	—	4	2	no	—
534	C₃×C₄×D₃	—	4	2	no	—
535	C₃×C₄×D₃	—	4	2	no	—
536	C₃×C₄×D₃	—	4	2	no	—
537	C₃×C₄×D₃	—	4	2	no	—
538	C₃×C₄×D₃	—	4	2	no	—
539	C₃×Dic₆	—	2	2	no	—
540	C₃×Dic₆	—	2	2	no	—
541	C₃×Dic₆	—	4	2	no	—
542	#556	—	3	1	no	—
543	#556	—	3	1	no	—
544	#554	—	3	1	no	—
545	#553	—	3	2	no	—
546	#553	—	3	1	no	—
547	#552	—	3	2	no	—
548	#552	—	3	1	no	—
549	#551	—	3	2	no	—
550	#551	—	3	2	no	—
551	#547	—	3	1	no	—
552	#546	—	3	1	no	—
553	#546	—	3	1	no	—
554	#542	—	3	1	no	—
555	#541	—	3	1	no	—
556	#539	—	3	2	no	—
557	#538	—	3	2	no	—
558	#529	—	3	2	no	—
559	#529	—	3	1	no	—
560	#529	C₃×D₃	1	1	yes	characteristic, complemented
561	C₂×#126	—	3	2	no	—
562	#520	—	3	1	no	—
563	#518	—	3	1	no	—
564	C₄×#41	—	3	1	no	—
565	C₂⁴×C₃	—	3	2	no	—
566	C₂³×D₃	C₂³×C₃	1	2	yes	—
567	C₃×#41	—	6	4	no	—
568	C₃×#41	—	6	4	no	—
569	C₂×C₃×Q₈	—	2	1	no	—
570	C₂×C₃×Q₈	—	3	1	no	—
571	C₂×C₃×Q₈	—	3	1	no	—
572	C₂×C₃×Q₈	—	3	2	no	—
573	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
574	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
575	C₂×C₃×D₄	—	2	1	no	—
576	C₂×C₃×D₄	—	2	1	no	—
577	C₂×C₃×D₄	—	2	1	no	—
578	C₂×C₃×D₄	—	3	2	no	—
579	C₂×C₃×D₄	—	3	2	no	—
580	C₂×C₃×D₄	—	3	2	no	—
581	C₂×C₃×D₄	—	3	2	no	—
582	C₂×C₃×D₄	—	3	1	no	—
583	C₂×C₃×D₄	—	3	2	no	—
584	C₂×C₃×D₄	—	3	1	no	—
585	C₂×C₃×D₄	—	6	4	no	—
586	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
587	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
588	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
589	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
590	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
591	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
592	C₂²×C₃×C₄	—	2	1	no	—
593	C₂²×C₃×C₄	—	2	1	no	—
594	C₂²×C₃×C₄	—	2	1	no	—
595	C₂²×C₃×C₄	—	2	1	no	—
596	C₂²×C₃×C₄	—	2	1	no	—
597	C₂²×C₃×C₄	—	3	2	no	—
598	C₂²×C₃×C₄	—	3	2	no	—
599	C₂²×C₃×C₄	—	3	2	no	—
600	C₂²×C₃×C₄	—	3	2	no	—
601	C₂²×C₃×C₄	—	3	2	no	—
602	C₂²×C₃×C₄	—	3	2	no	—
603	C₂²×C₃×C₄	—	3	2	no	—
604	C₂²×C₃×C₄	—	3	2	no	—
605	C₂²×C₃×C₄	—	3	2	no	—
606	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
607	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
608	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
609	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
610	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
611	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
612	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
613	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
614	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
615	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
616	C₂×#67	C₂³×C₃	1	2	yes	—
617	C₂×#67	C₂³×C₃	1	2	yes	—
618	C₂×#67	C₂³×C₃	1	2	yes	—
619	C₂×#67	C₂³×C₃	1	2	yes	—
620	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
621	#235	—	2	4	no	—
622	#235	—	2	4	no	—
623	C₂×D₁₂	—	2	4	no	—
624	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
625	C₂×D₁₂	C₂³×C₃	1	2	yes	—
626	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
627	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
628	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
629	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
630	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
631	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
632	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
633	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
634	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
635	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
636	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
637	C₂×Dic₆	C₂³×C₃	1	2	yes	—
638	C₃×C₄⋊C₄	—	2	1	no	—
639	C₃×C₄⋊C₄	—	2	1	no	—
640	C₃×C₄⋊C₄	—	2	1	no	—
641	C₃×C₄⋊C₄	—	2	1	no	—
642	C₃×C₄⋊C₄	—	2	1	no	—
643	C₃×C₄⋊C₄	—	2	1	no	—
644	C₃×C₄⋊C₄	—	2	1	no	—
645	C₃×C₄⋊C₄	—	2	1	no	—
646	C₃×C₄⋊C₄	—	2	1	no	—
647	C₃×C₄⋊C₄	—	2	1	no	—
648	C₃×C₄⋊C₄	—	3	2	no	—
649	C₃×C₄⋊C₄	—	3	2	no	—
650	C₃×C₄⋊C₄	—	3	2	no	—
651	C₃×C₄⋊C₄	—	3	2	no	—
652	C₃×C₄⋊C₄	—	3	2	no	—
653	C₃×C₄⋊C₄	—	3	2	no	—
654	C₃×C₄⋊C₄	—	3	2	no	—
655	C₃×C₄⋊C₄	—	3	2	no	—
656	C₃×C₄⋊C₄	—	3	2	no	—
657	C₃×C₄⋊C₄	—	3	2	no	—
658	C₃×C₄⋊C₄	—	3	2	no	—
659	C₃×C₄⋊C₄	—	3	2	no	—
660	C₃×C₄⋊C₄	—	3	2	no	—
661	C₃×C₄⋊C₄	—	3	1	no	—
662	C₃×C₄⋊C₄	—	3	1	no	—
663	C₃×C₄⋊C₄	—	3	2	no	—
664	C₃×C₄⋊C₄	—	3	2	no	—
665	C₃×C₄⋊C₄	—	3	1	no	—
666	C₃×C₄⋊C₄	—	3	1	no	—
667	C₃×C₄⋊C₄	—	3	2	no	—
668	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
669	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
670	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
671	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
672	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
673	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
674	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
675	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
676	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
677	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
678	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
679	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
680	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
681	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
682	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
683	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
684	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
685	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
686	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
687	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
688	C₃×C₂²⋊C₄	—	2	1	no	—
689	C₃×C₂²⋊C₄	—	2	1	no	—
690	C₃×C₂²⋊C₄	—	2	1	no	—
691	C₃×C₂²⋊C₄	—	2	1	no	—
692	C₃×C₂²⋊C₄	—	2	1	no	—
693	C₃×C₂²⋊C₄	—	2	1	no	—
694	C₃×C₂²⋊C₄	—	2	1	no	—
695	C₃×C₂²⋊C₄	—	2	1	no	—
696	C₃×C₂²⋊C₄	—	2	1	no	—
697	C₃×C₂²⋊C₄	—	2	1	no	—
698	C₃×C₂²⋊C₄	—	3	2	no	—
699	C₃×C₂²⋊C₄	—	3	2	no	—
700	C₃×C₂²⋊C₄	—	3	2	no	—
701	C₃×C₂²⋊C₄	—	3	2	no	—
702	C₃×C₂²⋊C₄	—	3	2	no	—
703	C₃×C₂²⋊C₄	—	3	2	no	—
704	C₃×C₂²⋊C₄	—	3	2	no	—
705	C₃×C₂²⋊C₄	—	3	2	no	—
706	C₃×C₂²⋊C₄	—	3	2	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	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	C₂²×D₃	1	1	yes	characteristic
717	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
718	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
719	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
720	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
721	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
722	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
723	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
724	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
725	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
726	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
727	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
728	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
729	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
730	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
731	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
732	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
733	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
734	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
735	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
736	C₃×C₄²	—	2	1	no	—
737	C₃×C₄²	—	2	1	no	—
738	C₃×C₄²	—	2	1	no	—
739	C₃×C₄²	—	2	1	no	—
740	C₃×C₄²	—	2	1	no	—
741	C₃×C₄²	—	2	1	no	—
742	C₃×C₄²	—	3	2	no	—
743	C₃×C₄²	—	3	2	no	—
744	C₃×C₄²	—	3	2	no	—
745	C₃×C₄²	—	3	2	no	—
746	C₃×C₄²	—	3	2	no	—
747	C₃×C₄²	—	3	2	no	—
748	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
749	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
750	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
751	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
752	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
753	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
754	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
755	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
756	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
757	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
758	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
759	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
760	#217	C₂³×C₃	1	2	yes	—
761	#217	C₂³×C₃	1	2	yes	—
762	#217	C₂³×C₃	1	2	yes	—
763	#217	C₂³×C₃	1	2	yes	—
764	#217	C₂³×C₃	1	2	yes	—
765	#217	C₂³×C₃	1	2	yes	—
766	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
767	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
768	(C₂×D₃)⋊C₄	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	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
779	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
780	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
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	C₄⋊Dic₃	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	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
796	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
797	Dic₃⋊C₄	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	2	yes	—
803	C₄×Dic₃	C₂³×C₃	1	2	yes	—
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	1	no	—
810	C₂²×C₃²	—	2	1	no	—
811	C₂²×C₃²	—	2	1	no	—
812	C₂²×C₃²	—	2	1	no	—
813	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
814	C₂×C₃×D₃	—	2	2	no	—
815	C₂×C₃×D₃	—	2	2	no	—
816	C₂×C₃×D₃	—	2	2	no	—
817	C₂×C₃×D₃	—	2	2	no	—
818	C₂×C₃×D₃	—	2	2	no	—
819	C₂×C₃×D₃	—	8	4	no	—
820	C₂×C₃×D₃	C₂×#41	1	4	yes	—
821	C₃²×C₄	—	2	1	no	—
822	C₃²×C₄	—	2	1	no	—
823	C₃²×C₄	—	2	1	no	—
824	C₃²×C₄	—	2	1	no	—
825	C₃²×C₄	—	2	1	no	—
826	C₃²×C₄	—	2	1	no	—
827	C₃²×C₄	—	2	1	no	—
828	C₃²×C₄	—	2	1	no	—
829	C₃²×C₄	—	2	1	no	—
830	C₃²×C₄	—	2	1	no	—
831	C₃²×C₄	—	2	1	no	—
832	C₃²×C₄	C₂×#41	1	2	yes	—
833	C₃×Dic₃	—	2	2	no	—
834	C₃×Dic₃	—	2	2	no	—
835	C₃×Dic₃	—	2	2	no	—
836	C₃×Dic₃	—	2	2	no	—
837	C₃×Dic₃	—	2	2	no	—
838	C₃×Dic₃	—	2	2	no	—
839	C₂×#41	—	3	1	no	—
840	C₂×#41	—	3	1	no	—
841	C₂²×D₄	—	3	1	no	—
842	C₄⋊Q₈	—	3	1	no	—
843	C₄⋊Q₈	—	3	1	no	—
844	#126	—	3	2	no	—
845	#126	—	3	2	no	—
846	#126	—	3	2	no	—
847	#126	—	3	2	no	—
848	#126	—	3	2	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	C₂×C₃×D₃	1	1	yes	characteristic
855	#126	C₂×C₃×D₃	1	1	yes	characteristic, complemented
856	#125	—	3	2	no	—
857	#125	—	3	2	no	—
858	#125	—	3	2	no	—
859	#125	—	3	1	no	—
860	#125	—	3	1	no	—
861	#125	C₂×C₃×D₃	1	1	yes	characteristic, complemented
862	#124	—	3	2	no	—
863	#124	—	3	2	no	—
864	#124	—	3	1	no	—
865	#124	—	3	1	no	—
866	#124	C₂×C₃×D₃	1	1	yes	characteristic
867	#123	—	3	2	no	—
868	#123	—	3	2	no	—
869	#123	—	3	2	no	—
870	#123	—	3	2	no	—
871	#123	—	3	2	no	—
872	#123	—	3	2	no	—
873	#123	—	3	2	no	—
874	#123	—	3	2	no	—
875	#123	C₂×C₃×D₃	1	1	yes	characteristic
876	#123	C₂×C₃×D₃	1	1	yes	characteristic, complemented
877	C₂²⋊Q₈	—	3	2	no	—
878	C₂²⋊Q₈	—	3	2	no	—
879	C₂²⋊Q₈	—	3	1	no	—
880	C₂²⋊Q₈	—	3	1	no	—
881	C₂²⋊Q₈	—	3	1	no	—
882	C₂²⋊Q₈	—	3	1	no	—
883	C₂²⋊Q₈	—	3	2	no	—
884	C₂²⋊Q₈	—	3	2	no	—
885	C₂²⋊Q₈	—	3	2	no	—
886	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
887	#121	—	3	2	no	—
888	#121	—	3	2	no	—
889	#121	—	3	1	no	—
890	#121	—	3	1	no	—
891	#121	—	3	2	no	—
892	#121	—	3	2	no	—
893	#121	C₂×C₃×D₃	1	1	yes	characteristic
894	#120	—	3	2	no	—
895	#120	—	3	2	no	—
896	C₄×Q₈	—	3	2	no	—
897	C₄×Q₈	—	3	1	no	—
898	C₄×Q₈	—	3	1	no	—
899	C₄×Q₈	—	3	1	no	—
900	C₄×Q₈	—	3	1	no	—
901	C₄×Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
902	C₄×D₄	—	3	2	no	—
903	C₄×D₄	—	3	2	no	—
904	C₄×D₄	—	3	2	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	2	no	—
910	C₄×D₄	—	3	1	no	—
911	C₄×D₄	—	3	1	no	—
912	C₄×D₄	—	3	1	no	—
913	C₄×D₄	—	3	1	no	—
914	C₄×D₄	—	3	1	no	—
915	C₄×D₄	—	3	1	no	—
916	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
917	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
918	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
919	#117	—	3	1	no	—
920	#117	—	3	1	no	—
921	#117	—	3	2	no	—
922	#117	—	3	2	no	—
923	#117	—	3	2	no	—
924	#117	—	3	2	no	—
925	#117	—	3	2	no	—
926	#117	C₂×C₃×D₃	1	1	yes	characteristic
927	#117	C₂×C₃×D₃	1	1	yes	characteristic, complemented
928	C₂×C₄⋊C₄	—	3	1	no	—
929	C₂×C₄⋊C₄	—	3	2	no	—
930	C₂×C₄⋊C₄	—	3	2	no	—
931	C₂×C₄⋊C₄	—	3	2	no	—
932	C₂×C₂²⋊C₄	—	3	2	no	—
933	C₂×C₂²⋊C₄	—	3	2	no	—
934	C₂×C₂²⋊C₄	—	3	2	no	—
935	C₂×C₂²⋊C₄	—	3	2	no	—
936	C₂×C₄²	—	3	2	no	—
937	C₂×C₄²	C₂×C₃×D₃	1	1	yes	characteristic, complemented
938	C₂³×C₃	—	2	1	no	—
939	C₂³×C₃	—	2	1	no	—
940	C₂³×C₃	—	2	1	no	—
941	C₂³×C₃	—	3	2	no	—
942	C₂³×C₃	—	3	2	no	—
943	C₂³×C₃	—	6	4	no	—
944	C₂³×C₃	—	12	2	no	—
945	C₂³×C₃	—	12	2	no	—
946	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
947	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
948	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
949	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
950	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
951	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
952	C₂²×D₃	—	2	4	no	—
953	C₂²×D₃	—	4	2	no	—
954	C₂²×D₃	—	4	2	no	—
955	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
956	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
957	C₃×Q₈	—	4	1	no	—
958	C₃×Q₈	—	4	1	no	—
959	C₃×Q₈	—	4	2	no	—
960	C₃×Q₈	—	6	2	no	—
961	C₃×Q₈	—	6	2	no	—
962	C₃×Q₈	—	12	2	no	—
963	C₃×D₄	—	3	4	no	—
964	C₃×D₄	—	4	1	no	—
965	C₃×D₄	—	4	1	no	—
966	C₃×D₄	—	4	1	no	—
967	C₃×D₄	—	4	1	no	—
968	C₃×D₄	—	4	1	no	—
969	C₃×D₄	—	4	1	no	—
970	C₃×D₄	—	4	2	no	—
971	C₃×D₄	—	4	2	no	—
972	C₃×D₄	—	4	2	no	—
973	C₃×D₄	—	6	4	no	—
974	C₃×D₄	—	6	4	no	—
975	C₃×D₄	—	6	4	no	—
976	C₃×D₄	—	6	2	no	—
977	C₃×D₄	—	12	2	no	—
978	C₃×D₄	—	12	2	no	—
979	C₂×C₃×C₄	—	2	2	no	—
980	C₂×C₃×C₄	—	2	2	no	—
981	C₂×C₃×C₄	—	2	2	no	—
982	C₂×C₃×C₄	—	2	2	no	—
983	C₂×C₃×C₄	—	2	2	no	—
984	C₂×C₃×C₄	—	2	2	no	—
985	C₂×C₃×C₄	—	2	1	no	—
986	C₂×C₃×C₄	—	2	1	no	—
987	C₂×C₃×C₄	—	2	1	no	—
988	C₂×C₃×C₄	—	2	1	no	—
989	C₂×C₃×C₄	—	2	1	no	—
990	C₂×C₃×C₄	—	2	1	no	—
991	C₂×C₃×C₄	—	2	1	no	—
992	C₂×C₃×C₄	—	2	1	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	—	3	2	no	—
998	C₂×C₃×C₄	—	3	2	no	—
999	C₂×C₃×C₄	—	3	2	no	—
1000	C₂×C₃×C₄	—	3	2	no	—
1001	C₂×C₃×C₄	—	3	2	no	—
1002	C₂×C₃×C₄	—	3	2	no	—
1003	C₂×C₃×C₄	—	4	2	no	—
1004	C₂×C₃×C₄	—	4	2	no	—
1005	C₂×C₃×C₄	—	4	2	no	—
1006	C₂×C₃×C₄	—	4	1	no	—
1007	C₂×C₃×C₄	—	4	1	no	—
1008	C₂×C₃×C₄	—	4	1	no	—
1009	C₂×C₃×C₄	—	4	1	no	—
1010	C₂×C₃×C₄	—	4	2	no	—
1011	C₂×C₃×C₄	—	4	2	no	—
1012	C₂×C₃×C₄	—	6	4	no	—
1013	C₂×C₃×C₄	—	6	4	no	—
1014	C₂×C₃×C₄	—	12	2	no	—
1015	C₂×C₃×C₄	—	12	2	no	—
1016	C₂×C₃×C₄	—	12	2	no	—
1017	C₂×C₃×C₄	—	12	2	no	—
1018	C₂×C₃×C₄	—	12	2	no	—
1019	C₂×C₃×C₄	—	12	2	no	—
1020	C₂×C₃×C₄	—	12	2	no	—
1021	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1022	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1023	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1024	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1025	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1026	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1027	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1028	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1029	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1030	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1031	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1032	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1033	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1034	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1035	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1036	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1037	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1038	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1039	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1040	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1041	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1042	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1043	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1044	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1045	#67	—	2	4	no	—
1046	#67	—	2	4	no	—
1047	#67	—	4	2	no	—
1048	#67	—	4	2	no	—
1049	C₂×Dic₃	—	4	2	no	—
1050	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1051	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1052	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1053	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1054	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1055	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1056	D₁₂	—	2	4	no	—
1057	D₁₂	—	2	2	no	—
1058	D₁₂	C₃×#41	1	4	yes	—
1059	C₄×D₃	—	2	4	no	—
1060	C₄×D₃	—	2	4	no	—
1061	C₄×D₃	—	4	2	no	—
1062	C₄×D₃	—	4	2	no	—
1063	C₄×D₃	—	4	2	no	—
1064	C₄×D₃	—	4	2	no	—
1065	C₄×D₃	—	4	2	no	—
1066	C₄×D₃	—	4	2	no	—
1067	Dic₆	—	2	2	no	—
1068	Dic₆	—	2	2	no	—
1069	Dic₆	—	4	2	no	—
1070	C₂×C₃²	—	4	1	no	—
1071	C₂×C₃²	—	4	1	no	—
1072	C₂×C₃²	—	4	1	no	—
1073	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1074	C₂×C₃²	#585	1	1	yes	characteristic
1075	C₂×C₃²	#585	1	1	yes	characteristic
1076	C₃×D₃	—	2	4	no	—
1077	C₃×D₃	—	4	2	no	—
1078	C₂⁴	—	3	2	no	—
1079	#41	—	6	4	no	—
1080	#41	—	6	4	no	—
1081	C₂×Q₈	—	3	1	no	—
1082	C₂×Q₈	—	3	1	no	—
1083	C₂×Q₈	—	3	2	no	—
1084	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1085	C₂×D₄	—	3	2	no	—
1086	C₂×D₄	—	3	2	no	—
1087	C₂×D₄	—	3	2	no	—
1088	C₂×D₄	—	3	2	no	—
1089	C₂×D₄	—	3	1	no	—
1090	C₂×D₄	—	3	2	no	—
1091	C₂×D₄	—	3	1	no	—
1092	C₂×D₄	—	6	4	no	—
1093	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1094	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1095	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1096	C₂²×C₄	—	3	2	no	—
1097	C₂²×C₄	—	3	2	no	—
1098	C₂²×C₄	—	3	2	no	—
1099	C₂²×C₄	—	3	2	no	—
1100	C₂²×C₄	—	3	2	no	—
1101	C₂²×C₄	—	3	2	no	—
1102	C₂²×C₄	—	3	2	no	—
1103	C₂²×C₄	—	3	2	no	—
1104	C₂²×C₄	—	3	2	no	—
1105	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1106	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1107	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1108	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1109	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1110	C₄⋊C₄	—	3	2	no	—
1111	C₄⋊C₄	—	3	1	no	—
1112	C₄⋊C₄	—	3	2	no	—
1113	C₄⋊C₄	—	3	2	no	—
1114	C₄⋊C₄	—	3	1	no	—
1115	C₄⋊C₄	—	3	2	no	—
1116	C₄⋊C₄	—	3	2	no	—
1117	C₄⋊C₄	—	3	2	no	—
1118	C₄⋊C₄	—	3	2	no	—
1119	C₄⋊C₄	—	3	2	no	—
1120	C₄⋊C₄	—	3	2	no	—
1121	C₄⋊C₄	—	3	1	no	—
1122	C₄⋊C₄	—	3	1	no	—
1123	C₄⋊C₄	—	3	2	no	—
1124	C₄⋊C₄	—	3	2	no	—
1125	C₄⋊C₄	—	3	2	no	—
1126	C₄⋊C₄	—	3	2	no	—
1127	C₄⋊C₄	—	3	2	no	—
1128	C₄⋊C₄	—	3	2	no	—
1129	C₄⋊C₄	—	3	2	no	—
1130	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1131	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1132	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1133	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1134	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1135	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1136	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1137	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1138	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1139	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1140	C₂²⋊C₄	—	3	2	no	—
1141	C₂²⋊C₄	—	3	2	no	—
1142	C₂²⋊C₄	—	3	2	no	—
1143	C₂²⋊C₄	—	3	2	no	—
1144	C₂²⋊C₄	—	3	2	no	—
1145	C₂²⋊C₄	—	3	2	no	—
1146	C₂²⋊C₄	—	3	2	no	—
1147	C₂²⋊C₄	—	3	2	no	—
1148	C₂²⋊C₄	—	3	2	no	—
1149	C₂²⋊C₄	—	3	2	no	—
1150	C₂²⋊C₄	—	3	2	no	—
1151	C₂²⋊C₄	—	3	2	no	—
1152	C₂²⋊C₄	—	3	2	no	—
1153	C₂²⋊C₄	—	3	2	no	—
1154	C₂²⋊C₄	—	3	2	no	—
1155	C₂²⋊C₄	—	3	2	no	—
1156	C₂²⋊C₄	—	3	2	no	—
1157	C₂²⋊C₄	—	3	2	no	—
1158	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1159	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1160	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1161	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1162	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1163	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1164	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1165	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1166	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1167	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1168	C₄²	—	3	2	no	—
1169	C₄²	—	3	2	no	—
1170	C₄²	—	3	2	no	—
1171	C₄²	—	3	2	no	—
1172	C₄²	—	3	2	no	—
1173	C₄²	—	3	2	no	—
1174	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1175	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1176	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1177	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1178	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1179	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1180	C₂²×C₃	—	2	2	no	—
1181	C₂²×C₃	—	2	1	no	—
1182	C₂²×C₃	—	2	1	no	—
1183	C₂²×C₃	—	2	1	no	—
1184	C₂²×C₃	—	2	1	no	—
1185	C₂²×C₃	—	2	1	no	—
1186	C₂²×C₃	—	2	1	no	—
1187	C₂²×C₃	—	2	1	no	—
1188	C₂²×C₃	—	2	1	no	—
1189	C₂²×C₃	—	2	1	no	—
1190	C₂²×C₃	—	2	1	no	—
1191	C₂²×C₃	—	2	1	no	—
1192	C₂²×C₃	—	2	1	no	—
1193	C₂²×C₃	—	2	1	no	—
1194	C₂²×C₃	—	2	1	no	—
1195	C₂²×C₃	—	2	1	no	—
1196	C₂²×C₃	—	2	1	no	—
1197	C₂²×C₃	—	2	1	no	—
1198	C₂²×C₃	—	2	1	no	—
1199	C₂²×C₃	—	2	1	no	—
1200	C₂²×C₃	—	3	4	no	—
1201	C₂²×C₃	—	4	1	no	—
1202	C₂²×C₃	—	4	1	no	—
1203	C₂²×C₃	—	4	1	no	—
1204	C₂²×C₃	—	4	1	no	—
1205	C₂²×C₃	—	4	1	no	—
1206	C₂²×C₃	—	4	1	no	—
1207	C₂²×C₃	—	4	1	no	—
1208	C₂²×C₃	—	4	1	no	—
1209	C₂²×C₃	—	6	2	no	—
1210	C₂²×C₃	—	6	2	no	—
1211	C₂²×C₃	—	6	2	no	—
1212	C₂²×C₃	—	6	2	no	—
1213	C₂²×C₃	—	6	2	no	—
1214	C₂²×C₃	—	24	4	no	—
1215	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1216	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1217	C₂×D₃	—	2	2	no	—
1218	C₂×D₃	—	2	2	no	—
1219	C₂×D₃	—	2	2	no	—
1220	C₂×D₃	—	2	2	no	—
1221	C₂×D₃	—	2	2	no	—
1222	C₂×D₃	—	8	4	no	—
1223	C₂×D₃	C₂×C₃×#41	1	4	yes	—
1224	C₃×C₄	—	2	2	no	—
1225	C₃×C₄	—	2	1	no	—
1226	C₃×C₄	—	2	1	no	—
1227	C₃×C₄	—	2	1	no	—
1228	C₃×C₄	—	2	1	no	—
1229	C₃×C₄	—	2	1	no	—
1230	C₃×C₄	—	2	1	no	—
1231	C₃×C₄	—	2	1	no	—
1232	C₃×C₄	—	2	1	no	—
1233	C₃×C₄	—	2	1	no	—
1234	C₃×C₄	—	2	1	no	—
1235	C₃×C₄	—	2	1	no	—
1236	C₃×C₄	—	2	1	no	—
1237	C₃×C₄	—	2	1	no	—
1238	C₃×C₄	—	2	1	no	—
1239	C₃×C₄	—	2	1	no	—
1240	C₃×C₄	—	2	1	no	—
1241	C₃×C₄	—	2	1	no	—
1242	C₃×C₄	—	2	1	no	—
1243	C₃×C₄	—	2	1	no	—
1244	C₃×C₄	—	2	1	no	—
1245	C₃×C₄	—	2	1	no	—
1246	C₃×C₄	—	2	1	no	—
1247	C₃×C₄	—	2	2	no	—
1248	C₃×C₄	—	4	1	no	—
1249	C₃×C₄	—	4	1	no	—
1250	C₃×C₄	—	4	1	no	—
1251	C₃×C₄	—	4	1	no	—
1252	C₃×C₄	—	4	1	no	—
1253	C₃×C₄	—	4	1	no	—
1254	C₃×C₄	—	4	1	no	—
1255	C₃×C₄	—	4	1	no	—
1256	C₃×C₄	—	4	1	no	—
1257	C₃×C₄	—	4	1	no	—
1258	C₃×C₄	—	6	2	no	—
1259	C₃×C₄	—	6	2	no	—
1260	C₃×C₄	—	6	2	no	—
1261	C₃×C₄	—	6	2	no	—
1262	C₃×C₄	—	6	2	no	—
1263	C₃×C₄	—	6	2	no	—
1264	C₃×C₄	D₃×#41	1	2	yes	—
1265	C₃×C₄	C₂×C₃×#41	1	2	yes	—
1266	Dic₃	—	2	2	no	—
1267	Dic₃	—	2	2	no	—
1268	Dic₃	—	2	2	no	—
1269	Dic₃	—	2	2	no	—
1270	Dic₃	—	2	2	no	—
1271	Dic₃	—	2	2	no	—
1272	C₃²	#3521	1	1	yes	characteristic, complemented, Sylow
1273	C₂³	—	3	2	no	—
1274	C₂³	—	3	2	no	—
1275	C₂³	—	6	4	no	—
1276	C₂³	—	12	2	no	—
1277	C₂³	—	12	2	no	—
1278	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1279	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1280	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1281	Q₈	—	4	1	no	—
1282	Q₈	—	6	2	no	—
1283	Q₈	—	6	2	no	—
1284	Q₈	—	12	2	no	—
1285	D₄	—	3	4	no	—
1286	D₄	—	4	1	no	—
1287	D₄	—	4	1	no	—
1288	D₄	—	4	1	no	—
1289	D₄	—	6	4	no	—
1290	D₄	—	6	4	no	—
1291	D₄	—	6	4	no	—
1292	D₄	—	6	2	no	—
1293	D₄	—	12	2	no	—
1294	D₄	—	12	2	no	—
1295	C₂×C₄	—	2	2	no	—
1296	C₂×C₄	—	2	2	no	—
1297	C₂×C₄	—	2	2	no	—
1298	C₂×C₄	—	3	2	no	—
1299	C₂×C₄	—	3	2	no	—
1300	C₂×C₄	—	3	2	no	—
1301	C₂×C₄	—	3	2	no	—
1302	C₂×C₄	—	3	2	no	—
1303	C₂×C₄	—	3	2	no	—
1304	C₂×C₄	—	4	1	no	—
1305	C₂×C₄	—	4	1	no	—
1306	C₂×C₄	—	6	4	no	—
1307	C₂×C₄	—	6	4	no	—
1308	C₂×C₄	—	12	2	no	—
1309	C₂×C₄	—	12	2	no	—
1310	C₂×C₄	—	12	2	no	—
1311	C₂×C₄	—	12	2	no	—
1312	C₂×C₄	—	12	2	no	—
1313	C₂×C₄	—	12	2	no	—
1314	C₂×C₄	—	12	2	no	—
1315	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1316	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1317	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1318	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1319	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1320	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1321	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1322	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1323	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1324	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1325	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1326	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1327	C₂×C₃	—	2	1	no	—
1328	C₂×C₃	—	2	1	no	—
1329	C₂×C₃	—	2	1	no	—
1330	C₂×C₃	—	4	2	no	—
1331	C₂×C₃	—	4	1	no	—
1332	C₂×C₃	—	4	1	no	—
1333	C₂×C₃	—	4	1	no	—
1334	C₂×C₃	—	4	1	no	—
1335	C₂×C₃	—	4	1	no	—
1336	C₂×C₃	—	4	1	no	—
1337	C₂×C₃	—	6	4	no	—
1338	C₂×C₃	—	8	1	no	—
1339	C₂×C₃	—	8	1	no	—
1340	C₂×C₃	—	12	2	no	—
1341	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1342	C₂×C₃	#5964	1	1	yes	characteristic
1343	C₂×C₃	#5964	1	1	yes	characteristic
1344	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1345	C₂×C₃	C₃×#585	1	1	yes	characteristic
1346	C₂×C₃	C₃×#585	1	1	yes	characteristic
1347	D₃	—	2	4	no	—
1348	D₃	—	4	2	no	—
1349	C₂²	—	2	1	no	—
1350	C₂²	—	2	1	no	—
1351	C₂²	—	2	1	no	—
1352	C₂²	—	2	1	no	—
1353	C₂²	—	2	1	no	—
1354	C₂²	—	2	1	no	—
1355	C₂²	—	2	1	no	—
1356	C₂²	—	2	1	no	—
1357	C₂²	—	2	1	no	—
1358	C₂²	—	3	4	no	—
1359	C₂²	—	6	2	no	—
1360	C₂²	—	6	2	no	—
1361	C₂²	—	6	2	no	—
1362	C₂²	—	6	2	no	—
1363	C₂²	—	6	2	no	—
1364	C₂²	—	24	4	no	—
1365	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1366	C₄	—	2	1	no	—
1367	C₄	—	2	1	no	—
1368	C₄	—	2	1	no	—
1369	C₄	—	2	1	no	—
1370	C₄	—	2	1	no	—
1371	C₄	—	2	1	no	—
1372	C₄	—	2	1	no	—
1373	C₄	—	2	1	no	—
1374	C₄	—	2	1	no	—
1375	C₄	—	2	1	no	—
1376	C₄	—	2	1	no	—
1377	C₄	—	6	2	no	—
1378	C₄	—	6	2	no	—
1379	C₄	—	6	2	no	—
1380	C₄	—	6	2	no	—
1381	C₄	—	6	2	no	—
1382	C₄	—	6	2	no	—
1383	C₄	C₃×D₃×#41	1	2	yes	—
1384	C₃	—	2	1	no	—
1385	C₃	#86170	1	1	yes	characteristic, direct product factor
1386	C₃	C₃×#3521	1	1	yes	characteristic, complemented
1387	C₂	—	4	1	no	—
1388	C₂	—	4	1	no	—
1389	C₂	—	4	1	no	—
1390	C₂	—	6	4	no	—
1391	C₂	—	12	2	no	—
1392	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1393	C₂	C₃×#5964	1	1	yes	characteristic
1394	C₂	C₃×#5964	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₃²×#529	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#529	D₃
hypocenter	C₃	C₃×#3521
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ 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×#5693	C₂	semidirect
5. C₃×#5679	C₂	semidirect
6. C₃×#5661	C₂	semidirect
7. C₃×#5659	C₂	semidirect
8. C₃×#5638	C₂	semidirect
9. C₃×#5613	C₂	semidirect
10. C₃×#5584	C₂	semidirect
11. C₃×#5579	C₂	semidirect
12. C₃×#5565	C₂	semidirect
13. C₃×#5551	C₂	semidirect
14. C₃×#5550	C₂	semidirect
15. C₃×#5550	C₂	semidirect
16. C₃×#5542	C₂	semidirect
17. C₃×#5541	C₂	semidirect
18. C₃×#5534	C₂	semidirect
19. C₃×#5523	C₂	semidirect
20. C₃×#5521	C₂	semidirect
21. C₃×#5518	C₂	semidirect
22. C₃×#5479	C₂	semidirect
23. C₃×C₄×#235	C₂	semidirect
25. #86170	C₃	direct (N × H)
30. C₃²×#126	C₂²	semidirect
31. C₃²×#125	C₂²	semidirect
34. C₃²×#123	C₂²	semidirect
35. C₃²×C₂²⋊Q₈	C₂²	semidirect
37. C₃²×C₄×Q₈	C₂²	semidirect
40. C₃²×C₄×D₄	C₂²	semidirect
42. C₃²×#117	C₂²	semidirect
43. C₂×C₃²×C₄²	C₂²	semidirect
44. C₃×#946	C₂²	semidirect
45. C₃×#946	C₂²	semidirect
46. C₃×#939	C₂²	semidirect
47. C₃×#938	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
59. C₃×#926	C₂²	semidirect
60. C₂×C₃×C₄⋊Dic₃	C₂²	semidirect
63. C₃×#924	C₂²	semidirect
64. C₃×#924	C₂²	semidirect
65. C₃×#898	C₂²	semidirect
66. C₃×#898	C₂²	semidirect
67. C₃×#898	C₂²	semidirect
68. C₃×#898	C₂²	semidirect
69. C₃×#896	C₂²	semidirect
70. C₃×#896	C₂²	semidirect
71. C₃×#896	C₂²	semidirect
76. C₃×#892	C₂²	semidirect
77. C₃×#892	C₂²	semidirect
78. C₃×D₃×C₄⋊C₄	C₂²	semidirect
79. C₃×D₃×C₄⋊C₄	C₂²	semidirect
80. C₃×D₃×C₄⋊C₄	C₂²	semidirect
81. C₃×#889	C₂²	semidirect
82. C₃×#889	C₂²	semidirect
83. C₃×#889	C₂²	semidirect
84. C₃×#887	C₂²	semidirect
85. C₃×#885	C₂²	semidirect
88. C₃×#883	C₂²	semidirect
89. C₃×#883	C₂²	semidirect
90. C₃×#883	C₂²	semidirect
91. C₃×#883	C₂²	semidirect
92. C₃×#67⋊C₄	C₂²	semidirect
93. C₃×#67⋊C₄	C₂²	semidirect
94. C₃×#67⋊C₄	C₂²	semidirect
103. C₃×#879	C₂²	semidirect
104. C₃×#877	C₂²	semidirect
105. C₃×#876	C₂²	semidirect
114. C₃×#872	C₂²	semidirect
115. C₃×#872	C₂²	semidirect
116. C₃×C₄²×D₃	C₂²	semidirect
117. C₃×#870	C₂²	semidirect
118. C₃×#870	C₂²	semidirect
119. C₃×#869	C₂²	semidirect
120. C₃×#869	C₂²	semidirect
121. C₃×C₄×Dic₆	C₂²	semidirect
122. C₃×C₄×Dic₆	C₂²	semidirect
123. C₃×C₄×Dic₆	C₂²	semidirect
124. C₃×C₄×Dic₆	C₂²	semidirect
144. C₃×#529	D₃	semidirect
145. C₃×#529	C₂×C₃	semidirect
150. #5706	C₂×C₃	semidirect
151. D₃×#126	C₂×C₃	semidirect
152. #5693	C₂×C₃	semidirect
153. #5679	C₂×C₃	semidirect
154. #5661	C₂×C₃	semidirect
155. #5659	C₂×C₃	semidirect
156. #5638	C₂×C₃	semidirect
157. #5613	C₂×C₃	semidirect
158. #5584	C₂×C₃	semidirect
159. #5579	C₂×C₃	semidirect
160. #5565	C₂×C₃	semidirect
161. #5551	C₂×C₃	semidirect
162. #5550	C₂×C₃	semidirect
163. #5550	C₂×C₃	semidirect
164. #5542	C₂×C₃	semidirect
165. #5541	C₂×C₃	semidirect
166. #5534	C₂×C₃	semidirect
167. #5523	C₂×C₃	semidirect
168. #5521	C₂×C₃	semidirect
169. #5518	C₂×C₃	semidirect
170. #5479	C₂×C₃	semidirect
171. C₄×#235	C₂×C₃	semidirect
296. C₃×#126	C₂×D₃	semidirect
298. C₃×#126	C₂²×C₃	semidirect
305. C₃×#125	C₂×D₃	semidirect
306. C₃×#125	C₂²×C₃	semidirect
325. C₃×#123	C₂×D₃	semidirect
327. C₃×#123	C₂²×C₃	semidirect
338. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
339. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
357. C₃×C₄×Q₈	C₂×D₃	semidirect
358. C₃×C₄×Q₈	C₂²×C₃	semidirect
378. C₃×C₄×D₄	C₂×D₃	semidirect
381. C₃×C₄×D₄	C₂²×C₃	semidirect
392. C₃×#117	C₂×D₃	semidirect
394. C₃×#117	C₂²×C₃	semidirect
405. C₂×C₃×C₄²	C₂×D₃	semidirect
406. C₂×C₃×C₄²	C₂²×C₃	semidirect
407. #946	C₂²×C₃	semidirect
408. #946	C₂²×C₃	semidirect
409. #939	C₂²×C₃	semidirect
410. #938	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
422. #926	C₂²×C₃	semidirect
423. C₂×C₄⋊Dic₃	C₂²×C₃	semidirect
426. #924	C₂²×C₃	semidirect
427. #924	C₂²×C₃	semidirect
428. #898	C₂²×C₃	semidirect
429. #898	C₂²×C₃	semidirect
430. #898	C₂²×C₃	semidirect
431. #898	C₂²×C₃	semidirect
432. #896	C₂²×C₃	semidirect
433. #896	C₂²×C₃	semidirect
434. #896	C₂²×C₃	semidirect
439. #892	C₂²×C₃	semidirect
440. #892	C₂²×C₃	semidirect
441. D₃×C₄⋊C₄	C₂²×C₃	semidirect
442. D₃×C₄⋊C₄	C₂²×C₃	semidirect
443. D₃×C₄⋊C₄	C₂²×C₃	semidirect
444. #889	C₂²×C₃	semidirect
445. #889	C₂²×C₃	semidirect
446. #889	C₂²×C₃	semidirect
447. #887	C₂²×C₃	semidirect
448. #885	C₂²×C₃	semidirect
451. #883	C₂²×C₃	semidirect
452. #883	C₂²×C₃	semidirect
453. #883	C₂²×C₃	semidirect
454. #883	C₂²×C₃	semidirect
455. #67⋊C₄	C₂²×C₃	semidirect
456. #67⋊C₄	C₂²×C₃	semidirect
457. #67⋊C₄	C₂²×C₃	semidirect
466. #879	C₂²×C₃	semidirect
467. #877	C₂²×C₃	semidirect
468. #876	C₂²×C₃	semidirect
477. #872	C₂²×C₃	semidirect
478. #872	C₂²×C₃	semidirect
479. C₄²×D₃	C₂²×C₃	semidirect
480. #870	C₂²×C₃	semidirect
481. #870	C₂²×C₃	semidirect
482. #869	C₂²×C₃	semidirect
483. #869	C₂²×C₃	semidirect
484. C₄×Dic₆	C₂²×C₃	semidirect
485. C₄×Dic₆	C₂²×C₃	semidirect
486. C₄×Dic₆	C₂²×C₃	semidirect
487. C₄×Dic₆	C₂²×C₃	semidirect
560. #529	C₃×D₃	semidirect
855. #126	C₂×C₃×D₃	semidirect
861. #125	C₂×C₃×D₃	semidirect
876. #123	C₂×C₃×D₃	semidirect
886. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
901. C₄×Q₈	C₂×C₃×D₃	semidirect
918. C₄×D₄	C₂×C₃×D₃	semidirect
927. #117	C₂×C₃×D₃	semidirect
937. C₂×C₄²	C₂×C₃×D₃	semidirect
1272. C₃²	#3521	semidirect
1385. C₃	#86170	direct (N × H)
1386. C₃	C₃×#3521	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×#5693	2
C₃×#5679	2
C₃×#5661	2
C₃×#5659	2
C₃×#5638	2
C₃×#5613	2
C₃×#5584	2
C₃×#5579	2
C₃×#5565	2
C₃×#5551	2
C₃×#5550	2
C₃×#5542	2
C₃×#5541	2
C₃×#5534	2
C₃×#5523	2
C₃×#5521	2
C₃×#5518	2
C₃×#5479	2
C₃×C₄×#235	2
C₃×#3521	3
#86170	3

Subgroups — C3×#86170 #11909421

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86170 #11909421