Subgroups — C₃×#86457 #11910657

Order 1152.

2229 conjugacy classes of subgroups.

The subgroup lattice has 2136 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#539	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5710	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5705	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5705	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5704	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5700	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5695	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5694	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5693	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5666	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5663	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5660	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5659	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5657	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5657	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5653	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×D₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#5647	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5646	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5640	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#5631	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5630	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#5627	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#5613	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#5607	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#5562	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#5559	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#5550	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#5547	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#5514	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#5507	C₂	1	1	yes	maximal, characteristic, complemented
32	C₃×#3533	—	3	1	no	maximal
33	#86457	C₃	1	1	yes	maximal, characteristic, direct product factor
34	C₂×C₃×#239	C₂²	1	1	yes	characteristic
35	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic
36	C₂×C₃×#235	C₂²	1	1	yes	characteristic
37	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic
39	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic, complemented
40	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
41	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
42	C₃²×#125	C₂²	1	1	yes	characteristic, complemented
43	C₃²×#125	C₂²	1	1	yes	characteristic, complemented
44	C₃²×#123	C₂²	1	1	yes	characteristic
45	C₃²×#123	C₂²	1	1	yes	characteristic
46	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
47	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
48	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
49	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
51	C₃²×#121	C₂²	1	1	yes	characteristic
52	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
53	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
55	C₃×#947	C₂²	1	1	yes	characteristic, complemented
56	C₃×#946	C₂²	1	1	yes	characteristic, complemented
57	C₃×#944	C₂²	1	1	yes	characteristic, complemented
58	C₃×#940	C₂²	1	1	yes	characteristic
59	C₃×#940	C₂²	1	1	yes	characteristic, complemented
60	C₃×#939	C₂²	1	1	yes	characteristic, complemented
61	C₃×#938	C₂²	1	1	yes	characteristic
62	C₃×#938	C₂²	1	1	yes	characteristic, complemented
63	C₃×#937	C₂²	1	1	yes	characteristic
64	C₃×#937	C₂²	1	1	yes	characteristic
65	C₃×#937	C₂²	1	1	yes	characteristic, complemented
66	C₃×#937	C₂²	1	1	yes	characteristic, complemented
67	C₃×#936	C₂²	1	1	yes	characteristic, complemented
68	C₃×#935	C₂²	1	1	yes	characteristic
69	C₃×#930	C₂²	1	1	yes	characteristic, complemented
70	C₃×#930	C₂²	1	1	yes	characteristic, complemented
71	C₃×#930	C₂²	1	1	yes	characteristic, complemented
72	C₃×#930	C₂²	1	1	yes	characteristic, complemented
73	C₃×#930	C₂²	1	1	yes	characteristic, complemented
74	C₃×#929	C₂²	1	1	yes	characteristic
75	C₃×#929	C₂²	1	1	yes	characteristic, complemented
76	C₃×#929	C₂²	1	1	yes	characteristic, complemented
77	C₃×#929	C₂²	1	1	yes	characteristic, complemented
78	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
79	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
80	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
81	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
82	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
83	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
84	C₃×#924	C₂²	1	1	yes	characteristic, complemented
85	C₃×#898	C₂²	1	1	yes	characteristic, complemented
86	C₃×#898	C₂²	1	1	yes	characteristic, complemented
87	C₃×#898	C₂²	1	1	yes	characteristic, complemented
88	C₃×#898	C₂²	1	1	yes	characteristic, complemented
89	C₃×#898	C₂²	1	1	yes	characteristic, complemented
90	C₃×#898	C₂²	1	1	yes	characteristic, complemented
91	C₃×#897	C₂²	1	1	yes	characteristic, complemented
92	C₃×#897	C₂²	1	1	yes	characteristic, complemented
93	C₃×#897	C₂²	1	1	yes	characteristic, complemented
94	C₃×#896	C₂²	1	1	yes	characteristic, complemented
95	C₃×#896	C₂²	1	1	yes	characteristic, complemented
96	C₃×#896	C₂²	1	1	yes	characteristic, complemented
97	C₃×#896	C₂²	1	1	yes	characteristic, complemented
98	C₃×#896	C₂²	1	1	yes	characteristic, complemented
99	C₃×#896	C₂²	1	1	yes	characteristic, complemented
100	C₃×#896	C₂²	1	1	yes	characteristic, complemented
101	C₃×#895	C₂²	1	1	yes	characteristic
102	C₃×#895	C₂²	1	1	yes	characteristic
103	C₃×#895	C₂²	1	1	yes	characteristic
104	C₃×#895	C₂²	1	1	yes	characteristic, complemented
105	C₃×#895	C₂²	1	1	yes	characteristic, complemented
106	C₃×#895	C₂²	1	1	yes	characteristic, complemented
107	C₃×#895	C₂²	1	1	yes	characteristic, complemented
108	C₃×#895	C₂²	1	1	yes	characteristic, complemented
109	C₃×#894	C₂²	1	1	yes	characteristic
110	C₃×#894	C₂²	1	1	yes	characteristic
111	C₃×#894	C₂²	1	1	yes	characteristic
112	C₃×#894	C₂²	1	1	yes	characteristic
113	C₃×#894	C₂²	1	1	yes	characteristic, complemented
114	C₃×#894	C₂²	1	1	yes	characteristic, complemented
115	C₃×#894	C₂²	1	1	yes	characteristic, complemented
116	C₃×#894	C₂²	1	1	yes	characteristic, complemented
117	C₃×#894	C₂²	1	1	yes	characteristic, complemented
118	C₃×#894	C₂²	1	1	yes	characteristic, complemented
119	C₃×#894	C₂²	1	1	yes	characteristic, complemented
120	C₃×#894	C₂²	1	1	yes	characteristic, complemented
121	C₃×#894	C₂²	1	1	yes	characteristic, complemented
122	C₃×#893	C₂²	1	1	yes	characteristic
123	C₃×#893	C₂²	1	1	yes	characteristic, complemented
124	C₃×#893	C₂²	1	1	yes	characteristic, complemented
125	C₃×#893	C₂²	1	1	yes	characteristic, complemented
126	C₃×#893	C₂²	1	1	yes	characteristic, complemented
127	C₃×#892	C₂²	1	1	yes	characteristic, complemented
128	C₃×#892	C₂²	1	1	yes	characteristic, complemented
129	C₃×#892	C₂²	1	1	yes	characteristic, complemented
130	C₃×#892	C₂²	1	1	yes	characteristic, complemented
131	C₃×#892	C₂²	1	1	yes	characteristic, complemented
132	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
133	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
134	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
135	C₃×#890	C₂²	1	1	yes	characteristic, complemented
136	C₃×#890	C₂²	1	1	yes	characteristic, complemented
137	C₃×#889	C₂²	1	1	yes	characteristic, complemented
138	C₃×#889	C₂²	1	1	yes	characteristic, complemented
139	C₃×#888	C₂²	1	1	yes	characteristic, complemented
140	C₃×#887	C₂²	1	1	yes	characteristic, complemented
141	C₃×#886	C₂²	1	1	yes	characteristic, complemented
142	C₃×#885	C₂²	1	1	yes	characteristic
143	C₃×#885	C₂²	1	1	yes	characteristic, complemented
144	C₃×#885	C₂²	1	1	yes	characteristic, complemented
145	C₃×#885	C₂²	1	1	yes	characteristic, complemented
146	C₃×#885	C₂²	1	1	yes	characteristic, complemented
147	C₃×#885	C₂²	1	1	yes	characteristic, complemented
148	C₃×#884	C₂²	1	1	yes	characteristic
149	C₃×#884	C₂²	1	1	yes	characteristic
150	C₃×#884	C₂²	1	1	yes	characteristic
151	C₃×#884	C₂²	1	1	yes	characteristic, complemented
152	C₃×#884	C₂²	1	1	yes	characteristic, complemented
153	C₃×#884	C₂²	1	1	yes	characteristic, complemented
154	C₃×#884	C₂²	1	1	yes	characteristic, complemented
155	C₃×#883	C₂²	1	1	yes	characteristic
156	C₃×#883	C₂²	1	1	yes	characteristic
157	C₃×#883	C₂²	1	1	yes	characteristic, complemented
158	C₃×#883	C₂²	1	1	yes	characteristic, complemented
159	C₃×#883	C₂²	1	1	yes	characteristic, complemented
160	C₃×#883	C₂²	1	1	yes	characteristic, complemented
161	C₃×#883	C₂²	1	1	yes	characteristic, complemented
162	C₃×#882	C₂²	1	1	yes	characteristic
163	C₃×#882	C₂²	1	1	yes	characteristic
164	C₃×#882	C₂²	1	1	yes	characteristic
165	C₃×#882	C₂²	1	1	yes	characteristic
166	C₃×#882	C₂²	1	1	yes	characteristic, complemented
167	C₃×#882	C₂²	1	1	yes	characteristic, complemented
168	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
169	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
170	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
171	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
172	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
174	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
175	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
176	C₃×#879	C₂²	1	1	yes	characteristic, complemented
177	C₃×#879	C₂²	1	1	yes	characteristic, complemented
178	C₃×#879	C₂²	1	1	yes	characteristic, complemented
179	C₃×#879	C₂²	1	1	yes	characteristic, complemented
180	C₃×#878	C₂²	1	1	yes	characteristic, complemented
181	C₃×#875	C₂²	1	1	yes	characteristic, complemented
182	C₃×#875	C₂²	1	1	yes	characteristic, complemented
183	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
184	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
185	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
186	C₃×#872	C₂²	1	1	yes	characteristic, complemented
187	C₃×#872	C₂²	1	1	yes	characteristic, complemented
188	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
189	C₃×#563	—	3	1	no	—
190	C₃×#562	—	3	1	no	—
191	C₃×#562	—	3	1	no	—
192	C₃×#560	—	3	1	no	—
193	C₃×#559	—	3	1	no	—
194	C₃×#553	—	3	1	no	—
195	C₃×#553	—	3	1	no	—
196	C₃×#552	—	3	1	no	—
197	C₃×#552	—	3	1	no	—
198	C₃×#551	—	3	1	no	—
199	C₃×#551	—	3	1	no	—
200	C₃×#551	—	3	1	no	—
201	C₃×#547	—	3	1	no	—
202	C₃×#547	—	3	1	no	—
203	C₃×#546	—	3	1	no	—
204	C₃×#546	—	3	1	no	—
205	C₃×#542	—	3	1	no	—
206	C₃×#542	—	3	1	no	—
207	C₃×#540	—	3	1	no	—
208	C₃×#540	—	3	1	no	—
209	C₃×#539	—	2	1	no	—
210	C₃×#539	—	3	1	no	—
211	C₃×#539	D₃	1	1	yes	characteristic, complemented
212	C₃×#539	C₂×C₃	1	1	yes	characteristic, complemented
213	C₃×#538	—	3	1	no	—
214	C₃×#538	—	3	1	no	—
215	C₃×#538	—	3	1	no	—
216	C₃×#538	—	3	1	no	—
217	C₃×#535	—	3	1	no	—
218	C₃×#534	—	3	1	no	—
219	C₃×#525	—	3	1	no	—
220	C₃×#525	—	3	1	no	—
221	C₂×C₃×#123	—	3	1	no	—
222	#5710	C₂×C₃	1	1	yes	characteristic, complemented
223	#5705	C₂×C₃	1	1	yes	characteristic, complemented
224	#5705	C₂×C₃	1	1	yes	characteristic, complemented
225	#5704	C₂×C₃	1	1	yes	characteristic, complemented
226	#5700	C₂×C₃	1	1	yes	characteristic, complemented
227	#5695	C₂×C₃	1	1	yes	characteristic, complemented
228	#5694	C₂×C₃	1	1	yes	characteristic, complemented
229	#5693	C₂×C₃	1	1	yes	characteristic, complemented
230	#5666	C₂×C₃	1	1	yes	characteristic, complemented
231	#5663	C₂×C₃	1	1	yes	characteristic, complemented
232	#5660	C₂×C₃	1	1	yes	characteristic, complemented
233	#5659	C₂×C₃	1	1	yes	characteristic, complemented
234	#5657	C₂×C₃	1	1	yes	characteristic, complemented
235	#5657	C₂×C₃	1	1	yes	characteristic, complemented
236	#5653	C₂×C₃	1	1	yes	characteristic, complemented
237	D₃×#123	C₂×C₃	1	1	yes	characteristic, complemented
238	#5647	C₂×C₃	1	1	yes	characteristic, complemented
239	#5646	C₂×C₃	1	1	yes	characteristic, complemented
240	#5640	C₂×C₃	1	1	yes	characteristic, complemented
241	#5631	C₂×C₃	1	1	yes	characteristic, complemented
242	#5630	C₂×C₃	1	1	yes	characteristic, complemented
243	#5627	C₂×C₃	1	1	yes	characteristic, complemented
244	#5613	C₂×C₃	1	1	yes	characteristic, complemented
245	#5607	C₂×C₃	1	1	yes	characteristic, complemented
246	#5562	C₂×C₃	1	1	yes	characteristic, complemented
247	#5559	C₂×C₃	1	1	yes	characteristic, complemented
248	#5550	C₂×C₃	1	1	yes	characteristic, complemented
249	#5547	C₂×C₃	1	1	yes	characteristic, complemented
250	#5514	C₂×C₃	1	1	yes	characteristic, complemented
251	#5507	C₂×C₃	1	1	yes	characteristic, complemented
252	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
253	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
254	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
255	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
256	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
257	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
258	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
259	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
260	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
261	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
262	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
263	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
264	C₂×C₃×#67	C₂³	1	1	yes	characteristic
265	C₂×C₃×#67	C₂³	1	1	yes	characteristic
266	C₂×C₃×#67	C₂³	1	1	yes	characteristic
267	C₂×C₃×#67	C₂³	1	1	yes	characteristic
268	C₂×C₃×#67	C₂³	1	1	yes	characteristic
269	C₂×C₃×#67	C₂³	1	1	yes	characteristic
270	C₂×C₃×#67	C₂³	1	1	yes	characteristic
271	C₂×C₃×#67	C₂³	1	1	yes	characteristic
272	C₂×C₃×#67	C₂³	1	1	yes	characteristic
273	C₂×C₃×#67	C₂³	1	1	yes	characteristic
274	C₂×C₃×#67	C₂³	1	1	yes	characteristic
275	C₂×C₃×#67	C₂³	1	1	yes	characteristic
276	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
277	C₃×#239	—	4	2	no	—
278	C₃×D₃×D₄	—	4	2	no	—
279	C₃×#235	—	4	2	no	—
280	C₃×#235	—	4	2	no	—
281	C₂×C₃×D₁₂	—	4	2	no	—
282	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
283	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
284	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
285	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
286	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
287	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
288	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
289	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
290	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
291	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
292	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
293	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
294	C₂×C₃×C₄×D₃	—	4	2	no	—
295	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
296	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
297	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
298	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
299	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
300	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
301	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
302	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
303	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
304	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
305	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
306	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
307	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
308	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
309	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
310	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
311	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
312	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
313	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
314	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
315	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
317	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
318	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
319	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
320	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
321	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
322	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
323	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
324	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
325	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
326	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
327	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
328	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
329	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
336	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
337	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
338	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
339	C₃²×C₄²	C₂³	1	1	yes	characteristic
340	C₃²×C₄²	C₂³	1	1	yes	characteristic
341	C₃×#217	C₂³	1	1	yes	characteristic
342	C₃×#217	C₂³	1	1	yes	characteristic
343	C₃×#217	C₂³	1	1	yes	characteristic
344	C₃×#217	C₂³	1	1	yes	characteristic
345	C₃×#217	C₂³	1	1	yes	characteristic
346	C₃×#217	C₂³	1	1	yes	characteristic
347	C₃×#217	C₂³	1	1	yes	characteristic
348	C₃×#217	C₂³	1	1	yes	characteristic
349	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
350	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
351	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
352	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
353	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
354	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
355	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
356	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
357	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
358	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
359	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
360	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
361	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
362	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
363	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
364	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
365	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
366	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
367	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
368	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
369	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
370	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
371	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
372	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
373	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
374	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
375	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
376	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
377	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
378	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
379	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
380	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
381	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
382	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
383	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
384	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
385	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
386	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
387	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
388	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
389	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
390	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
391	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
392	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
393	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
394	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
395	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
396	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
397	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
398	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
399	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
400	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
401	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
402	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
403	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
404	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
405	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
406	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
407	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
408	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
409	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
410	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
411	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
412	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
413	#3533	—	3	1	no	Sylow
414	C₂×C₃×#41	—	3	1	no	—
415	C₂×C₃×#41	—	3	1	no	—
416	C₂×C₃×#41	—	3	1	no	—
417	C₂²×C₃×D₄	—	3	1	no	—
418	C₂²×C₃×D₄	—	3	1	no	—
419	C₂³×C₃×C₄	—	3	1	no	—
420	C₂×#239	C₂²×C₃	1	1	yes	characteristic
421	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic
422	C₂×#235	C₂²×C₃	1	1	yes	characteristic
423	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
424	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic
425	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
426	C₃×C₄⋊Q₈	—	3	1	no	—
427	C₃×C₄⋊Q₈	—	3	1	no	—
428	C₃×#127	—	3	1	no	—
429	C₃×#127	—	3	1	no	—
430	C₃×#126	—	2	1	no	—
431	C₃×#126	—	2	1	no	—
432	C₃×#126	—	3	1	no	—
433	C₃×#126	—	3	1	no	—
434	C₃×#126	—	3	1	no	—
435	C₃×#126	—	3	1	no	—
436	C₃×#126	—	3	1	no	—
437	C₃×#126	—	3	1	no	—
438	C₃×#126	—	3	1	no	—
439	C₃×#126	—	3	1	no	—
440	C₃×#126	—	3	1	no	—
441	C₃×#126	—	3	1	no	—
442	C₃×#126	C₂×D₃	1	1	yes	characteristic, complemented
443	C₃×#126	C₂×D₃	1	1	yes	characteristic, complemented
444	C₃×#126	C₂²×C₃	1	1	yes	characteristic, complemented
445	C₃×#126	C₂²×C₃	1	1	yes	characteristic, complemented
446	C₃×#125	—	2	1	no	—
447	C₃×#125	—	2	1	no	—
448	C₃×#125	—	3	1	no	—
449	C₃×#125	—	3	1	no	—
450	C₃×#125	—	3	1	no	—
451	C₃×#125	—	3	1	no	—
452	C₃×#125	C₂×D₃	1	1	yes	characteristic, complemented
453	C₃×#125	C₂×D₃	1	1	yes	characteristic, complemented
454	C₃×#125	C₂²×C₃	1	1	yes	characteristic, complemented
455	C₃×#125	C₂²×C₃	1	1	yes	characteristic, complemented
456	C₃×#124	—	3	1	no	—
457	C₃×#124	—	3	1	no	—
458	C₃×#124	—	3	1	no	—
459	C₃×#124	—	3	1	no	—
460	C₃×#124	—	3	1	no	—
461	C₃×#124	—	3	1	no	—
462	C₃×#124	—	3	1	no	—
463	C₃×#124	—	3	1	no	—
464	C₃×#124	—	3	1	no	—
465	C₃×#124	—	3	1	no	—
466	C₃×#123	—	2	1	no	—
467	C₃×#123	—	2	1	no	—
468	C₃×#123	—	2	1	no	—
469	C₃×#123	—	2	1	no	—
470	C₃×#123	—	3	1	no	—
471	C₃×#123	—	3	1	no	—
472	C₃×#123	—	3	1	no	—
473	C₃×#123	—	3	1	no	—
474	C₃×#123	—	3	1	no	—
475	C₃×#123	—	3	1	no	—
476	C₃×#123	—	3	1	no	—
477	C₃×#123	—	3	1	no	—
478	C₃×#123	—	3	1	no	—
479	C₃×#123	—	3	1	no	—
480	C₃×#123	—	3	1	no	—
481	C₃×#123	—	3	1	no	—
482	C₃×#123	—	3	1	no	—
483	C₃×#123	—	3	1	no	—
484	C₃×#123	—	3	1	no	—
485	C₃×#123	—	3	1	no	—
486	C₃×#123	—	3	1	no	—
487	C₃×#123	—	3	1	no	—
488	C₃×#123	—	3	1	no	—
489	C₃×#123	—	3	1	no	—
490	C₃×#123	—	3	1	no	—
491	C₃×#123	—	3	1	no	—
492	C₃×#123	—	3	1	no	—
493	C₃×#123	—	3	1	no	—
494	C₃×#123	—	3	1	no	—
495	C₃×#123	—	3	1	no	—
496	C₃×#123	C₂×D₃	1	1	yes	characteristic
497	C₃×#123	C₂×D₃	1	1	yes	characteristic
498	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
499	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
500	C₃×#123	C₂²×C₃	1	1	yes	characteristic
501	C₃×#123	C₂²×C₃	1	1	yes	characteristic
502	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
503	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
504	C₃×C₂²⋊Q₈	—	2	1	no	—
505	C₃×C₂²⋊Q₈	—	2	1	no	—
506	C₃×C₂²⋊Q₈	—	2	1	no	—
507	C₃×C₂²⋊Q₈	—	3	1	no	—
508	C₃×C₂²⋊Q₈	—	3	1	no	—
509	C₃×C₂²⋊Q₈	—	3	1	no	—
510	C₃×C₂²⋊Q₈	—	3	1	no	—
511	C₃×C₂²⋊Q₈	—	3	1	no	—
512	C₃×C₂²⋊Q₈	—	3	1	no	—
513	C₃×C₂²⋊Q₈	—	3	1	no	—
514	C₃×C₂²⋊Q₈	—	3	1	no	—
515	C₃×C₂²⋊Q₈	—	3	1	no	—
516	C₃×C₂²⋊Q₈	—	3	1	no	—
517	C₃×C₂²⋊Q₈	—	3	1	no	—
518	C₃×C₂²⋊Q₈	—	3	1	no	—
519	C₃×C₂²⋊Q₈	—	3	1	no	—
520	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
521	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
522	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
523	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
524	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
525	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
526	C₃×#121	—	2	1	no	—
527	C₃×#121	—	3	1	no	—
528	C₃×#121	—	3	1	no	—
529	C₃×#121	—	3	1	no	—
530	C₃×#121	—	3	1	no	—
531	C₃×#121	—	3	1	no	—
532	C₃×#121	—	3	1	no	—
533	C₃×#121	—	3	1	no	—
534	C₃×#121	—	3	1	no	—
535	C₃×#121	—	3	1	no	—
536	C₃×#121	—	3	1	no	—
537	C₃×#121	—	3	1	no	—
538	C₃×#121	—	3	1	no	—
539	C₃×#121	—	3	1	no	—
540	C₃×#121	—	3	1	no	—
541	C₃×#121	—	3	1	no	—
542	C₃×#121	—	3	1	no	—
543	C₃×#121	—	3	1	no	—
544	C₃×#121	—	3	1	no	—
545	C₃×#121	—	3	1	no	—
546	C₃×#121	—	3	1	no	—
547	C₃×#121	—	3	1	no	—
548	C₃×#121	—	3	1	no	—
549	C₃×#121	—	3	1	no	—
550	C₃×#121	C₂×D₃	1	1	yes	characteristic
551	C₃×#121	C₂²×C₃	1	1	yes	characteristic
552	C₃×#120	—	3	1	no	—
553	C₃×#120	—	3	1	no	—
554	C₃×#120	—	3	1	no	—
555	C₃×#120	—	3	1	no	—
556	C₃×#120	—	3	1	no	—
557	C₃×#120	—	3	1	no	—
558	C₃×#120	—	3	1	no	—
559	C₃×#120	—	3	1	no	—
560	C₃×#120	—	3	1	no	—
561	C₃×#120	—	3	1	no	—
562	C₃×C₄×Q₈	—	3	1	no	—
563	C₃×C₄×Q₈	—	3	1	no	—
564	C₃×C₄×D₄	—	2	1	no	—
565	C₃×C₄×D₄	—	2	1	no	—
566	C₃×C₄×D₄	—	3	1	no	—
567	C₃×C₄×D₄	—	3	1	no	—
568	C₃×C₄×D₄	—	3	1	no	—
569	C₃×C₄×D₄	—	3	1	no	—
570	C₃×C₄×D₄	—	3	1	no	—
571	C₃×C₄×D₄	—	3	1	no	—
572	C₃×C₄×D₄	—	3	1	no	—
573	C₃×C₄×D₄	—	3	1	no	—
574	C₃×C₄×D₄	—	3	1	no	—
575	C₃×C₄×D₄	—	3	1	no	—
576	C₃×C₄×D₄	—	3	1	no	—
577	C₃×C₄×D₄	—	3	1	no	—
578	C₃×C₄×D₄	—	3	1	no	—
579	C₃×C₄×D₄	—	3	1	no	—
580	C₃×C₄×D₄	—	3	1	no	—
581	C₃×C₄×D₄	—	3	1	no	—
582	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
583	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
584	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
585	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
586	C₃×#117	—	3	1	no	—
587	C₃×#117	—	3	1	no	—
588	C₃×#117	—	3	1	no	—
589	C₃×#117	—	3	1	no	—
590	C₃×#117	—	3	1	no	—
591	C₃×#117	—	3	1	no	—
592	C₃×#117	—	3	1	no	—
593	C₂×C₃×C₄⋊C₄	—	2	1	no	—
594	C₂×C₃×C₄⋊C₄	—	3	1	no	—
595	C₂×C₃×C₄⋊C₄	—	3	1	no	—
596	C₂×C₃×C₄⋊C₄	—	3	1	no	—
597	C₂×C₃×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
598	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
599	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
600	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
601	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
602	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
603	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
604	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
605	#947	C₂²×C₃	1	1	yes	characteristic, complemented
606	#946	C₂²×C₃	1	1	yes	characteristic, complemented
607	#944	C₂²×C₃	1	1	yes	characteristic, complemented
608	#940	C₂²×C₃	1	1	yes	characteristic
609	#940	C₂²×C₃	1	1	yes	characteristic, complemented
610	#939	C₂²×C₃	1	1	yes	characteristic, complemented
611	#938	C₂²×C₃	1	1	yes	characteristic
612	#938	C₂²×C₃	1	1	yes	characteristic, complemented
613	#937	C₂²×C₃	1	1	yes	characteristic
614	#937	C₂²×C₃	1	1	yes	characteristic
615	#937	C₂²×C₃	1	1	yes	characteristic, complemented
616	#937	C₂²×C₃	1	1	yes	characteristic, complemented
617	#936	C₂²×C₃	1	1	yes	characteristic, complemented
618	#935	C₂²×C₃	1	1	yes	characteristic
619	#930	C₂²×C₃	1	1	yes	characteristic, complemented
620	#930	C₂²×C₃	1	1	yes	characteristic, complemented
621	#930	C₂²×C₃	1	1	yes	characteristic, complemented
622	#930	C₂²×C₃	1	1	yes	characteristic, complemented
623	#930	C₂²×C₃	1	1	yes	characteristic, complemented
624	#929	C₂²×C₃	1	1	yes	characteristic
625	#929	C₂²×C₃	1	1	yes	characteristic, complemented
626	#929	C₂²×C₃	1	1	yes	characteristic, complemented
627	#929	C₂²×C₃	1	1	yes	characteristic, complemented
628	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
629	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
630	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
631	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
632	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
633	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
634	#924	C₂²×C₃	1	1	yes	characteristic, complemented
635	#898	C₂²×C₃	1	1	yes	characteristic, complemented
636	#898	C₂²×C₃	1	1	yes	characteristic, complemented
637	#898	C₂²×C₃	1	1	yes	characteristic, complemented
638	#898	C₂²×C₃	1	1	yes	characteristic, complemented
639	#898	C₂²×C₃	1	1	yes	characteristic, complemented
640	#898	C₂²×C₃	1	1	yes	characteristic, complemented
641	#897	C₂²×C₃	1	1	yes	characteristic, complemented
642	#897	C₂²×C₃	1	1	yes	characteristic, complemented
643	#897	C₂²×C₃	1	1	yes	characteristic, complemented
644	#896	C₂²×C₃	1	1	yes	characteristic, complemented
645	#896	C₂²×C₃	1	1	yes	characteristic, complemented
646	#896	C₂²×C₃	1	1	yes	characteristic, complemented
647	#896	C₂²×C₃	1	1	yes	characteristic, complemented
648	#896	C₂²×C₃	1	1	yes	characteristic, complemented
649	#896	C₂²×C₃	1	1	yes	characteristic, complemented
650	#896	C₂²×C₃	1	1	yes	characteristic, complemented
651	#895	C₂²×C₃	1	1	yes	characteristic
652	#895	C₂²×C₃	1	1	yes	characteristic
653	#895	C₂²×C₃	1	1	yes	characteristic
654	#895	C₂²×C₃	1	1	yes	characteristic, complemented
655	#895	C₂²×C₃	1	1	yes	characteristic, complemented
656	#895	C₂²×C₃	1	1	yes	characteristic, complemented
657	#895	C₂²×C₃	1	1	yes	characteristic, complemented
658	#895	C₂²×C₃	1	1	yes	characteristic, complemented
659	#894	C₂²×C₃	1	1	yes	characteristic
660	#894	C₂²×C₃	1	1	yes	characteristic
661	#894	C₂²×C₃	1	1	yes	characteristic
662	#894	C₂²×C₃	1	1	yes	characteristic
663	#894	C₂²×C₃	1	1	yes	characteristic, complemented
664	#894	C₂²×C₃	1	1	yes	characteristic, complemented
665	#894	C₂²×C₃	1	1	yes	characteristic, complemented
666	#894	C₂²×C₃	1	1	yes	characteristic, complemented
667	#894	C₂²×C₃	1	1	yes	characteristic, complemented
668	#894	C₂²×C₃	1	1	yes	characteristic, complemented
669	#894	C₂²×C₃	1	1	yes	characteristic, complemented
670	#894	C₂²×C₃	1	1	yes	characteristic, complemented
671	#894	C₂²×C₃	1	1	yes	characteristic, complemented
672	#893	C₂²×C₃	1	1	yes	characteristic
673	#893	C₂²×C₃	1	1	yes	characteristic, complemented
674	#893	C₂²×C₃	1	1	yes	characteristic, complemented
675	#893	C₂²×C₃	1	1	yes	characteristic, complemented
676	#893	C₂²×C₃	1	1	yes	characteristic, complemented
677	#892	C₂²×C₃	1	1	yes	characteristic, complemented
678	#892	C₂²×C₃	1	1	yes	characteristic, complemented
679	#892	C₂²×C₃	1	1	yes	characteristic, complemented
680	#892	C₂²×C₃	1	1	yes	characteristic, complemented
681	#892	C₂²×C₃	1	1	yes	characteristic, complemented
682	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
683	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
684	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
685	#890	C₂²×C₃	1	1	yes	characteristic, complemented
686	#890	C₂²×C₃	1	1	yes	characteristic, complemented
687	#889	C₂²×C₃	1	1	yes	characteristic, complemented
688	#889	C₂²×C₃	1	1	yes	characteristic, complemented
689	#888	C₂²×C₃	1	1	yes	characteristic, complemented
690	#887	C₂²×C₃	1	1	yes	characteristic, complemented
691	#886	C₂²×C₃	1	1	yes	characteristic, complemented
692	#885	C₂²×C₃	1	1	yes	characteristic
693	#885	C₂²×C₃	1	1	yes	characteristic, complemented
694	#885	C₂²×C₃	1	1	yes	characteristic, complemented
695	#885	C₂²×C₃	1	1	yes	characteristic, complemented
696	#885	C₂²×C₃	1	1	yes	characteristic, complemented
697	#885	C₂²×C₃	1	1	yes	characteristic, complemented
698	#884	C₂²×C₃	1	1	yes	characteristic
699	#884	C₂²×C₃	1	1	yes	characteristic
700	#884	C₂²×C₃	1	1	yes	characteristic
701	#884	C₂²×C₃	1	1	yes	characteristic, complemented
702	#884	C₂²×C₃	1	1	yes	characteristic, complemented
703	#884	C₂²×C₃	1	1	yes	characteristic, complemented
704	#884	C₂²×C₃	1	1	yes	characteristic, complemented
705	#883	C₂²×C₃	1	1	yes	characteristic
706	#883	C₂²×C₃	1	1	yes	characteristic
707	#883	C₂²×C₃	1	1	yes	characteristic, complemented
708	#883	C₂²×C₃	1	1	yes	characteristic, complemented
709	#883	C₂²×C₃	1	1	yes	characteristic, complemented
710	#883	C₂²×C₃	1	1	yes	characteristic, complemented
711	#883	C₂²×C₃	1	1	yes	characteristic, complemented
712	#882	C₂²×C₃	1	1	yes	characteristic
713	#882	C₂²×C₃	1	1	yes	characteristic
714	#882	C₂²×C₃	1	1	yes	characteristic
715	#882	C₂²×C₃	1	1	yes	characteristic
716	#882	C₂²×C₃	1	1	yes	characteristic, complemented
717	#882	C₂²×C₃	1	1	yes	characteristic, complemented
718	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
719	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
720	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
721	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
722	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
723	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
724	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
725	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
726	#879	C₂²×C₃	1	1	yes	characteristic, complemented
727	#879	C₂²×C₃	1	1	yes	characteristic, complemented
728	#879	C₂²×C₃	1	1	yes	characteristic, complemented
729	#879	C₂²×C₃	1	1	yes	characteristic, complemented
730	#878	C₂²×C₃	1	1	yes	characteristic, complemented
731	#875	C₂²×C₃	1	1	yes	characteristic, complemented
732	#875	C₂²×C₃	1	1	yes	characteristic, complemented
733	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
734	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
735	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
736	#872	C₂²×C₃	1	1	yes	characteristic, complemented
737	#872	C₂²×C₃	1	1	yes	characteristic, complemented
738	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
739	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
740	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
741	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
742	C₂²×C₃×D₃	—	2	2	no	—
743	C₂²×C₃×D₃	—	2	2	no	—
744	C₂²×C₃×D₃	—	4	1	no	—
745	C₂²×C₃×D₃	—	4	1	no	—
746	C₂²×C₃×D₃	—	4	1	no	—
747	C₂²×C₃×D₃	—	4	1	no	—
748	C₂²×C₃×D₃	—	4	1	no	—
749	C₂²×C₃×D₃	—	4	1	no	—
750	C₂²×C₃×D₃	—	4	1	no	—
751	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
752	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
753	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
754	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
755	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
756	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
757	C₃²×Q₈	—	4	1	no	—
758	C₃²×D₄	—	4	1	no	—
759	C₃²×D₄	—	4	1	no	—
760	C₃²×D₄	—	4	1	no	—
761	C₂×C₃²×C₄	—	4	1	no	—
762	C₂×C₃²×C₄	—	4	1	no	—
763	C₂×C₃²×C₄	—	4	1	no	—
764	C₂×C₃²×C₄	—	4	1	no	—
765	C₂×C₃²×C₄	—	4	1	no	—
766	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
767	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
768	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
769	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
770	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
771	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
772	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
773	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
774	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
775	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
776	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
777	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
778	C₃×#67	—	2	2	no	—
779	C₃×#67	—	4	1	no	—
780	C₃×#67	—	4	1	no	—
781	C₃×#67	—	4	1	no	—
782	C₃×#67	—	4	1	no	—
783	C₃×#67	—	4	1	no	—
784	C₃×#67	—	4	1	no	—
785	C₃×#67	—	4	1	no	—
786	C₃×#67	—	4	1	no	—
787	C₃×#67	—	4	1	no	—
788	C₃×#67	—	4	1	no	—
789	C₃×#67	—	4	1	no	—
790	C₂×C₃×Dic₃	—	4	1	no	—
791	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
792	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
793	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
794	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
795	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
796	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
797	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
798	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
799	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
800	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
801	C₃×D₁₂	—	2	2	no	—
802	C₃×D₁₂	—	2	2	no	—
803	C₃×D₁₂	—	2	2	no	—
804	C₃×D₁₂	—	4	1	no	—
805	C₃×D₁₂	—	4	1	no	—
806	C₃×D₁₂	—	4	1	no	—
807	C₃×D₁₂	—	4	1	no	—
808	C₃×D₁₂	—	4	1	no	—
809	C₃×D₁₂	—	4	1	no	—
810	C₃×D₁₂	—	4	1	no	—
811	C₃×D₁₂	—	4	1	no	—
812	C₃×D₁₂	—	4	1	no	—
813	C₃×C₄×D₃	—	2	2	no	—
814	C₃×C₄×D₃	—	2	2	no	—
815	C₃×C₄×D₃	—	2	2	no	—
816	C₃×C₄×D₃	—	4	1	no	—
817	C₃×C₄×D₃	—	4	1	no	—
818	C₃×C₄×D₃	—	4	1	no	—
819	C₃×C₄×D₃	—	4	1	no	—
820	C₃×C₄×D₃	—	4	1	no	—
821	C₃×C₄×D₃	—	4	1	no	—
822	C₃×C₄×D₃	—	4	1	no	—
823	C₃×C₄×D₃	—	4	1	no	—
824	C₃×C₄×D₃	—	4	1	no	—
825	C₃×C₄×D₃	—	4	1	no	—
826	C₃×C₄×D₃	—	4	1	no	—
827	C₃×C₄×D₃	—	4	1	no	—
828	C₃×C₄×D₃	—	4	1	no	—
829	C₃×Dic₆	—	4	1	no	—
830	C₃×Dic₆	—	4	1	no	—
831	C₃×Dic₆	—	4	1	no	—
832	C₃×Dic₆	—	4	1	no	—
833	#563	—	3	1	no	—
834	#562	—	3	1	no	—
835	#562	—	3	1	no	—
836	#560	—	3	1	no	—
837	#559	—	3	1	no	—
838	#553	—	3	1	no	—
839	#553	—	3	1	no	—
840	#552	—	3	1	no	—
841	#552	—	3	1	no	—
842	#551	—	3	1	no	—
843	#551	—	3	1	no	—
844	#551	—	3	1	no	—
845	#547	—	3	1	no	—
846	#547	—	3	1	no	—
847	#546	—	3	1	no	—
848	#546	—	3	1	no	—
849	#542	—	3	1	no	—
850	#542	—	3	1	no	—
851	#540	—	3	1	no	—
852	#540	—	3	1	no	—
853	#539	—	3	1	no	—
854	#539	C₃×D₃	1	1	yes	characteristic, complemented
855	#538	—	3	1	no	—
856	#538	—	3	1	no	—
857	#538	—	3	1	no	—
858	#538	—	3	1	no	—
859	#535	—	3	1	no	—
860	#534	—	3	1	no	—
861	#525	—	3	1	no	—
862	#525	—	3	1	no	—
863	C₂×#123	—	3	1	no	—
864	C₂⁴×C₃	—	3	1	no	—
865	C₂⁴×C₃	—	3	1	no	—
866	C₂⁴×C₃	—	3	1	no	—
867	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
868	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
869	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
870	C₃×#41	—	12	2	no	—
871	C₃×#41	—	12	2	no	—
872	C₃×#41	—	12	2	no	—
873	C₂×C₃×Q₈	—	2	1	no	—
874	C₂×C₃×Q₈	—	3	1	no	—
875	C₂×C₃×Q₈	—	3	1	no	—
876	C₂×C₃×Q₈	—	3	1	no	—
877	C₂×C₃×Q₈	—	3	1	no	—
878	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
879	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
880	C₂×C₃×D₄	—	2	1	no	—
881	C₂×C₃×D₄	—	2	1	no	—
882	C₂×C₃×D₄	—	2	1	no	—
883	C₂×C₃×D₄	—	3	1	no	—
884	C₂×C₃×D₄	—	3	1	no	—
885	C₂×C₃×D₄	—	3	1	no	—
886	C₂×C₃×D₄	—	3	1	no	—
887	C₂×C₃×D₄	—	3	1	no	—
888	C₂×C₃×D₄	—	3	1	no	—
889	C₂×C₃×D₄	—	3	1	no	—
890	C₂×C₃×D₄	—	3	1	no	—
891	C₂×C₃×D₄	—	3	1	no	—
892	C₂×C₃×D₄	—	3	1	no	—
893	C₂×C₃×D₄	—	3	1	no	—
894	C₂×C₃×D₄	—	3	1	no	—
895	C₂×C₃×D₄	—	3	1	no	—
896	C₂×C₃×D₄	—	3	1	no	—
897	C₂×C₃×D₄	—	3	1	no	—
898	C₂×C₃×D₄	—	3	1	no	—
899	C₂×C₃×D₄	—	3	1	no	—
900	C₂×C₃×D₄	—	3	1	no	—
901	C₂×C₃×D₄	—	3	1	no	—
902	C₂×C₃×D₄	—	3	1	no	—
903	C₂×C₃×D₄	—	3	1	no	—
904	C₂×C₃×D₄	—	3	1	no	—
905	C₂×C₃×D₄	—	3	1	no	—
906	C₂×C₃×D₄	—	3	1	no	—
907	C₂×C₃×D₄	—	12	2	no	—
908	C₂×C₃×D₄	—	12	2	no	—
909	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
910	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
911	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
912	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
913	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
914	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
915	C₂²×C₃×C₄	—	2	1	no	—
916	C₂²×C₃×C₄	—	2	1	no	—
917	C₂²×C₃×C₄	—	2	1	no	—
918	C₂²×C₃×C₄	—	2	1	no	—
919	C₂²×C₃×C₄	—	2	1	no	—
920	C₂²×C₃×C₄	—	3	1	no	—
921	C₂²×C₃×C₄	—	3	1	no	—
922	C₂²×C₃×C₄	—	3	1	no	—
923	C₂²×C₃×C₄	—	3	1	no	—
924	C₂²×C₃×C₄	—	3	1	no	—
925	C₂²×C₃×C₄	—	3	1	no	—
926	C₂²×C₃×C₄	—	3	1	no	—
927	C₂²×C₃×C₄	—	3	1	no	—
928	C₂²×C₃×C₄	—	3	1	no	—
929	C₂²×C₃×C₄	—	3	1	no	—
930	C₂²×C₃×C₄	—	3	1	no	—
931	C₂²×C₃×C₄	—	3	1	no	—
932	C₂²×C₃×C₄	—	3	1	no	—
933	C₂²×C₃×C₄	—	3	1	no	—
934	C₂²×C₃×C₄	—	3	1	no	—
935	C₂²×C₃×C₄	—	3	1	no	—
936	C₂²×C₃×C₄	—	3	1	no	—
937	C₂²×C₃×C₄	—	12	2	no	—
938	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
939	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
940	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
941	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
942	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
943	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
944	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
945	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
946	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
947	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
948	C₂×#67	C₂³×C₃	1	1	yes	characteristic
949	C₂×#67	C₂³×C₃	1	1	yes	characteristic
950	C₂×#67	C₂³×C₃	1	1	yes	characteristic
951	C₂×#67	C₂³×C₃	1	1	yes	characteristic
952	C₂×#67	C₂³×C₃	1	1	yes	characteristic
953	C₂×#67	C₂³×C₃	1	1	yes	characteristic
954	C₂×#67	C₂³×C₃	1	1	yes	characteristic
955	C₂×#67	C₂³×C₃	1	1	yes	characteristic
956	C₂×#67	C₂³×C₃	1	1	yes	characteristic
957	C₂×#67	C₂³×C₃	1	1	yes	characteristic
958	C₂×#67	C₂³×C₃	1	1	yes	characteristic
959	C₂×#67	C₂³×C₃	1	1	yes	characteristic
960	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
961	#239	—	4	2	no	—
962	D₃×D₄	—	4	2	no	—
963	#235	—	4	2	no	—
964	#235	—	4	2	no	—
965	C₂×D₁₂	—	4	2	no	—
966	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
967	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
968	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
969	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
970	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
971	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
972	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
973	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
974	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
975	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
976	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
977	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
978	C₂×C₄×D₃	—	4	2	no	—
979	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
980	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
981	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
982	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
983	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
984	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
985	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
986	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
987	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
988	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
989	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
990	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
991	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
992	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
993	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
994	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
995	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
996	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
997	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
998	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
999	C₃×C₄⋊C₄	—	2	1	no	—
1000	C₃×C₄⋊C₄	—	2	1	no	—
1001	C₃×C₄⋊C₄	—	2	1	no	—
1002	C₃×C₄⋊C₄	—	2	1	no	—
1003	C₃×C₄⋊C₄	—	2	1	no	—
1004	C₃×C₄⋊C₄	—	2	1	no	—
1005	C₃×C₄⋊C₄	—	2	1	no	—
1006	C₃×C₄⋊C₄	—	2	1	no	—
1007	C₃×C₄⋊C₄	—	2	1	no	—
1008	C₃×C₄⋊C₄	—	2	1	no	—
1009	C₃×C₄⋊C₄	—	2	1	no	—
1010	C₃×C₄⋊C₄	—	2	1	no	—
1011	C₃×C₄⋊C₄	—	2	1	no	—
1012	C₃×C₄⋊C₄	—	2	1	no	—
1013	C₃×C₄⋊C₄	—	3	1	no	—
1014	C₃×C₄⋊C₄	—	3	1	no	—
1015	C₃×C₄⋊C₄	—	3	1	no	—
1016	C₃×C₄⋊C₄	—	3	1	no	—
1017	C₃×C₄⋊C₄	—	3	1	no	—
1018	C₃×C₄⋊C₄	—	3	1	no	—
1019	C₃×C₄⋊C₄	—	3	1	no	—
1020	C₃×C₄⋊C₄	—	3	1	no	—
1021	C₃×C₄⋊C₄	—	3	1	no	—
1022	C₃×C₄⋊C₄	—	3	1	no	—
1023	C₃×C₄⋊C₄	—	3	1	no	—
1024	C₃×C₄⋊C₄	—	3	1	no	—
1025	C₃×C₄⋊C₄	—	3	1	no	—
1026	C₃×C₄⋊C₄	—	3	1	no	—
1027	C₃×C₄⋊C₄	—	3	1	no	—
1028	C₃×C₄⋊C₄	—	3	1	no	—
1029	C₃×C₄⋊C₄	—	3	1	no	—
1030	C₃×C₄⋊C₄	—	3	1	no	—
1031	C₃×C₄⋊C₄	—	3	1	no	—
1032	C₃×C₄⋊C₄	—	3	1	no	—
1033	C₃×C₄⋊C₄	—	3	1	no	—
1034	C₃×C₄⋊C₄	—	3	1	no	—
1035	C₃×C₄⋊C₄	—	3	1	no	—
1036	C₃×C₄⋊C₄	—	3	1	no	—
1037	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1038	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1039	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1040	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1041	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1042	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1043	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1044	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1045	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1046	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1047	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1048	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1049	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1050	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1051	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1052	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1053	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1054	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1055	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1056	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1057	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1058	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1059	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1060	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1061	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1062	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1063	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1064	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1065	C₃×C₂²⋊C₄	—	2	1	no	—
1066	C₃×C₂²⋊C₄	—	2	1	no	—
1067	C₃×C₂²⋊C₄	—	2	1	no	—
1068	C₃×C₂²⋊C₄	—	2	1	no	—
1069	C₃×C₂²⋊C₄	—	2	1	no	—
1070	C₃×C₂²⋊C₄	—	2	1	no	—
1071	C₃×C₂²⋊C₄	—	2	1	no	—
1072	C₃×C₂²⋊C₄	—	2	1	no	—
1073	C₃×C₂²⋊C₄	—	2	1	no	—
1074	C₃×C₂²⋊C₄	—	2	1	no	—
1075	C₃×C₂²⋊C₄	—	3	1	no	—
1076	C₃×C₂²⋊C₄	—	3	1	no	—
1077	C₃×C₂²⋊C₄	—	3	1	no	—
1078	C₃×C₂²⋊C₄	—	3	1	no	—
1079	C₃×C₂²⋊C₄	—	3	1	no	—
1080	C₃×C₂²⋊C₄	—	3	1	no	—
1081	C₃×C₂²⋊C₄	—	3	1	no	—
1082	C₃×C₂²⋊C₄	—	3	1	no	—
1083	C₃×C₂²⋊C₄	—	3	1	no	—
1084	C₃×C₂²⋊C₄	—	3	1	no	—
1085	C₃×C₂²⋊C₄	—	3	1	no	—
1086	C₃×C₂²⋊C₄	—	3	1	no	—
1087	C₃×C₂²⋊C₄	—	3	1	no	—
1088	C₃×C₂²⋊C₄	—	3	1	no	—
1089	C₃×C₂²⋊C₄	—	3	1	no	—
1090	C₃×C₂²⋊C₄	—	3	1	no	—
1091	C₃×C₂²⋊C₄	—	3	1	no	—
1092	C₃×C₂²⋊C₄	—	3	1	no	—
1093	C₃×C₂²⋊C₄	—	3	1	no	—
1094	C₃×C₂²⋊C₄	—	3	1	no	—
1095	C₃×C₂²⋊C₄	—	3	1	no	—
1096	C₃×C₂²⋊C₄	—	3	1	no	—
1097	C₃×C₂²⋊C₄	—	3	1	no	—
1098	C₃×C₂²⋊C₄	—	3	1	no	—
1099	C₃×C₂²⋊C₄	—	3	1	no	—
1100	C₃×C₂²⋊C₄	—	3	1	no	—
1101	C₃×C₂²⋊C₄	—	3	1	no	—
1102	C₃×C₂²⋊C₄	—	3	1	no	—
1103	C₃×C₂²⋊C₄	—	3	1	no	—
1104	C₃×C₂²⋊C₄	—	3	1	no	—
1105	C₃×C₂²⋊C₄	—	3	1	no	—
1106	C₃×C₂²⋊C₄	—	3	1	no	—
1107	C₃×C₂²⋊C₄	—	3	1	no	—
1108	C₃×C₂²⋊C₄	—	3	1	no	—
1109	C₃×C₂²⋊C₄	—	3	1	no	—
1110	C₃×C₂²⋊C₄	—	3	1	no	—
1111	C₃×C₂²⋊C₄	—	3	1	no	—
1112	C₃×C₂²⋊C₄	—	3	1	no	—
1113	C₃×C₂²⋊C₄	—	3	1	no	—
1114	C₃×C₂²⋊C₄	—	3	1	no	—
1115	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1116	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1117	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1118	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1119	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1120	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1121	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1122	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1123	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1124	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1125	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1126	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1127	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1128	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1129	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1130	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1131	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1132	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1133	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1134	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1135	C₃×C₄²	—	2	1	no	—
1136	C₃×C₄²	—	2	1	no	—
1137	C₃×C₄²	—	3	1	no	—
1138	C₃×C₄²	—	3	1	no	—
1139	C₃×C₄²	—	3	1	no	—
1140	C₃×C₄²	—	3	1	no	—
1141	C₃×C₄²	—	3	1	no	—
1142	C₃×C₄²	—	3	1	no	—
1143	C₃×C₄²	—	3	1	no	—
1144	C₃×C₄²	—	3	1	no	—
1145	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1146	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1147	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1148	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1149	#217	C₂³×C₃	1	1	yes	characteristic
1150	#217	C₂³×C₃	1	1	yes	characteristic
1151	#217	C₂³×C₃	1	1	yes	characteristic
1152	#217	C₂³×C₃	1	1	yes	characteristic
1153	#217	C₂³×C₃	1	1	yes	characteristic
1154	#217	C₂³×C₃	1	1	yes	characteristic
1155	#217	C₂³×C₃	1	1	yes	characteristic
1156	#217	C₂³×C₃	1	1	yes	characteristic
1157	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1158	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1159	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1160	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1161	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1162	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1163	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1164	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1165	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1166	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1167	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1168	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1169	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1170	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1171	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1172	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1173	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1174	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1175	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1176	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1177	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1178	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1179	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1180	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1181	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1182	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1183	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1184	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1185	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1186	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1187	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1188	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1189	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1190	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1191	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1192	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1193	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1194	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1195	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1196	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1197	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1198	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1199	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1200	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1201	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1202	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1203	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1204	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1205	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1206	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1207	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1208	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1209	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1210	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1211	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1212	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1213	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1214	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1215	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1216	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1217	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1218	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1219	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1220	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1221	C₂²×C₃²	—	2	1	no	—
1222	C₂²×C₃²	—	2	1	no	—
1223	C₂²×C₃²	—	2	1	no	—
1224	C₂²×C₃²	—	2	1	no	—
1225	C₂²×C₃²	—	2	1	no	—
1226	C₂²×C₃²	—	2	1	no	—
1227	C₂²×C₃²	—	2	1	no	—
1228	C₂²×C₃²	—	2	1	no	—
1229	C₂²×C₃²	—	2	1	no	—
1230	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
1231	C₂×C₃×D₃	—	2	1	no	—
1232	C₂×C₃×D₃	—	2	1	no	—
1233	C₂×C₃×D₃	—	2	1	no	—
1234	C₂×C₃×D₃	—	2	1	no	—
1235	C₂×C₃×D₃	—	2	1	no	—
1236	C₂×C₃×D₃	—	2	1	no	—
1237	C₂×C₃×D₃	—	2	1	no	—
1238	C₂×C₃×D₃	—	2	1	no	—
1239	C₂×C₃×D₃	—	2	1	no	—
1240	C₂×C₃×D₃	—	2	1	no	—
1241	C₂×C₃×D₃	—	2	1	no	—
1242	C₂×C₃×D₃	—	2	1	no	—
1243	C₂×C₃×D₃	—	2	1	no	—
1244	C₂×C₃×D₃	—	2	1	no	—
1245	C₂×C₃×D₃	—	2	1	no	—
1246	C₂×C₃×D₃	—	2	1	no	—
1247	C₂×C₃×D₃	—	2	1	no	—
1248	C₂×C₃×D₃	—	4	4	no	—
1249	C₂×C₃×D₃	—	8	2	no	—
1250	C₂×C₃×D₃	—	8	2	no	—
1251	C₂×C₃×D₃	H(5,𝔽₂)	1	2	yes	—
1252	C₃²×C₄	—	2	1	no	—
1253	C₃²×C₄	—	2	1	no	—
1254	C₃²×C₄	—	2	1	no	—
1255	C₃²×C₄	—	2	1	no	—
1256	C₃²×C₄	—	2	1	no	—
1257	C₃²×C₄	—	2	1	no	—
1258	C₃²×C₄	—	2	1	no	—
1259	C₃²×C₄	—	2	1	no	—
1260	C₃²×C₄	—	2	1	no	—
1261	C₃²×C₄	—	2	1	no	—
1262	C₃²×C₄	—	2	1	no	—
1263	C₃²×C₄	—	2	1	no	—
1264	C₃×Dic₃	—	2	1	no	—
1265	C₃×Dic₃	—	2	1	no	—
1266	C₃×Dic₃	—	2	1	no	—
1267	C₃×Dic₃	—	2	1	no	—
1268	C₃×Dic₃	—	2	1	no	—
1269	C₃×Dic₃	—	2	1	no	—
1270	C₃×Dic₃	—	2	1	no	—
1271	C₃×Dic₃	—	2	1	no	—
1272	C₃×Dic₃	—	2	1	no	—
1273	C₃×Dic₃	—	2	1	no	—
1274	C₂×#41	—	3	1	no	—
1275	C₂×#41	—	3	1	no	—
1276	C₂×#41	—	3	1	no	—
1277	C₂²×D₄	—	3	1	no	—
1278	C₂²×D₄	—	3	1	no	—
1279	C₂³×C₄	—	3	1	no	—
1280	C₄⋊Q₈	—	3	1	no	—
1281	C₄⋊Q₈	—	3	1	no	—
1282	#127	—	3	1	no	—
1283	#127	—	3	1	no	—
1284	#126	—	3	1	no	—
1285	#126	—	3	1	no	—
1286	#126	—	3	1	no	—
1287	#126	—	3	1	no	—
1288	#126	—	3	1	no	—
1289	#126	—	3	1	no	—
1290	#126	—	3	1	no	—
1291	#126	—	3	1	no	—
1292	#126	—	3	1	no	—
1293	#126	—	3	1	no	—
1294	#126	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1295	#126	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1296	#125	—	3	1	no	—
1297	#125	—	3	1	no	—
1298	#125	—	3	1	no	—
1299	#125	—	3	1	no	—
1300	#125	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1301	#125	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1302	#124	—	3	1	no	—
1303	#124	—	3	1	no	—
1304	#124	—	3	1	no	—
1305	#124	—	3	1	no	—
1306	#124	—	3	1	no	—
1307	#124	—	3	1	no	—
1308	#124	—	3	1	no	—
1309	#124	—	3	1	no	—
1310	#124	—	3	1	no	—
1311	#124	—	3	1	no	—
1312	#123	—	3	1	no	—
1313	#123	—	3	1	no	—
1314	#123	—	3	1	no	—
1315	#123	—	3	1	no	—
1316	#123	—	3	1	no	—
1317	#123	—	3	1	no	—
1318	#123	—	3	1	no	—
1319	#123	—	3	1	no	—
1320	#123	—	3	1	no	—
1321	#123	—	3	1	no	—
1322	#123	—	3	1	no	—
1323	#123	—	3	1	no	—
1324	#123	—	3	1	no	—
1325	#123	—	3	1	no	—
1326	#123	—	3	1	no	—
1327	#123	—	3	1	no	—
1328	#123	—	3	1	no	—
1329	#123	—	3	1	no	—
1330	#123	—	3	1	no	—
1331	#123	—	3	1	no	—
1332	#123	—	3	1	no	—
1333	#123	—	3	1	no	—
1334	#123	—	3	1	no	—
1335	#123	—	3	1	no	—
1336	#123	—	3	1	no	—
1337	#123	—	3	1	no	—
1338	#123	C₂×C₃×D₃	1	1	yes	characteristic
1339	#123	C₂×C₃×D₃	1	1	yes	characteristic
1340	#123	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1341	#123	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1342	C₂²⋊Q₈	—	3	1	no	—
1343	C₂²⋊Q₈	—	3	1	no	—
1344	C₂²⋊Q₈	—	3	1	no	—
1345	C₂²⋊Q₈	—	3	1	no	—
1346	C₂²⋊Q₈	—	3	1	no	—
1347	C₂²⋊Q₈	—	3	1	no	—
1348	C₂²⋊Q₈	—	3	1	no	—
1349	C₂²⋊Q₈	—	3	1	no	—
1350	C₂²⋊Q₈	—	3	1	no	—
1351	C₂²⋊Q₈	—	3	1	no	—
1352	C₂²⋊Q₈	—	3	1	no	—
1353	C₂²⋊Q₈	—	3	1	no	—
1354	C₂²⋊Q₈	—	3	1	no	—
1355	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1356	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1357	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1358	#121	—	3	1	no	—
1359	#121	—	3	1	no	—
1360	#121	—	3	1	no	—
1361	#121	—	3	1	no	—
1362	#121	—	3	1	no	—
1363	#121	—	3	1	no	—
1364	#121	—	3	1	no	—
1365	#121	—	3	1	no	—
1366	#121	—	3	1	no	—
1367	#121	—	3	1	no	—
1368	#121	—	3	1	no	—
1369	#121	—	3	1	no	—
1370	#121	—	3	1	no	—
1371	#121	—	3	1	no	—
1372	#121	—	3	1	no	—
1373	#121	—	3	1	no	—
1374	#121	—	3	1	no	—
1375	#121	—	3	1	no	—
1376	#121	—	3	1	no	—
1377	#121	—	3	1	no	—
1378	#121	—	3	1	no	—
1379	#121	—	3	1	no	—
1380	#121	—	3	1	no	—
1381	#121	C₂×C₃×D₃	1	1	yes	characteristic
1382	#120	—	3	1	no	—
1383	#120	—	3	1	no	—
1384	#120	—	3	1	no	—
1385	#120	—	3	1	no	—
1386	#120	—	3	1	no	—
1387	#120	—	3	1	no	—
1388	#120	—	3	1	no	—
1389	#120	—	3	1	no	—
1390	#120	—	3	1	no	—
1391	#120	—	3	1	no	—
1392	C₄×Q₈	—	3	1	no	—
1393	C₄×Q₈	—	3	1	no	—
1394	C₄×D₄	—	3	1	no	—
1395	C₄×D₄	—	3	1	no	—
1396	C₄×D₄	—	3	1	no	—
1397	C₄×D₄	—	3	1	no	—
1398	C₄×D₄	—	3	1	no	—
1399	C₄×D₄	—	3	1	no	—
1400	C₄×D₄	—	3	1	no	—
1401	C₄×D₄	—	3	1	no	—
1402	C₄×D₄	—	3	1	no	—
1403	C₄×D₄	—	3	1	no	—
1404	C₄×D₄	—	3	1	no	—
1405	C₄×D₄	—	3	1	no	—
1406	C₄×D₄	—	3	1	no	—
1407	C₄×D₄	—	3	1	no	—
1408	C₄×D₄	—	3	1	no	—
1409	C₄×D₄	—	3	1	no	—
1410	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1411	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1412	#117	—	3	1	no	—
1413	#117	—	3	1	no	—
1414	#117	—	3	1	no	—
1415	#117	—	3	1	no	—
1416	#117	—	3	1	no	—
1417	#117	—	3	1	no	—
1418	#117	—	3	1	no	—
1419	C₂×C₄⋊C₄	—	3	1	no	—
1420	C₂×C₄⋊C₄	—	3	1	no	—
1421	C₂×C₄⋊C₄	—	3	1	no	—
1422	C₂×C₄⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1423	C₂×C₂²⋊C₄	—	3	1	no	—
1424	C₂×C₂²⋊C₄	—	3	1	no	—
1425	C₂×C₂²⋊C₄	—	3	1	no	—
1426	C₂×C₂²⋊C₄	—	3	1	no	—
1427	C₂×C₂²⋊C₄	—	3	1	no	—
1428	C₂×C₂²⋊C₄	—	3	1	no	—
1429	C₂³×C₃	—	2	1	no	—
1430	C₂³×C₃	—	2	1	no	—
1431	C₂³×C₃	—	2	1	no	—
1432	C₂³×C₃	—	3	1	no	—
1433	C₂³×C₃	—	3	1	no	—
1434	C₂³×C₃	—	3	1	no	—
1435	C₂³×C₃	—	3	1	no	—
1436	C₂³×C₃	—	3	1	no	—
1437	C₂³×C₃	—	3	1	no	—
1438	C₂³×C₃	—	6	2	no	—
1439	C₂³×C₃	—	6	2	no	—
1440	C₂³×C₃	—	12	1	no	—
1441	C₂³×C₃	—	12	1	no	—
1442	C₂³×C₃	—	12	1	no	—
1443	C₂³×C₃	—	12	1	no	—
1444	C₂³×C₃	—	12	1	no	—
1445	C₂³×C₃	—	12	1	no	—
1446	C₂³×C₃	—	12	1	no	—
1447	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1448	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1449	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1450	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1451	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1452	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1453	C₂²×D₃	—	2	2	no	—
1454	C₂²×D₃	—	2	2	no	—
1455	C₂²×D₃	—	4	1	no	—
1456	C₂²×D₃	—	4	1	no	—
1457	C₂²×D₃	—	4	1	no	—
1458	C₂²×D₃	—	4	1	no	—
1459	C₂²×D₃	—	4	1	no	—
1460	C₂²×D₃	—	4	1	no	—
1461	C₂²×D₃	—	4	1	no	—
1462	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1463	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1464	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1465	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1466	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1467	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1468	C₃×Q₈	—	4	1	no	—
1469	C₃×Q₈	—	4	1	no	—
1470	C₃×Q₈	—	8	1	no	—
1471	C₃×Q₈	—	12	1	no	—
1472	C₃×Q₈	—	12	1	no	—
1473	C₃×Q₈	—	12	1	no	—
1474	C₃×Q₈	—	12	1	no	—
1475	C₃×D₄	—	4	1	no	—
1476	C₃×D₄	—	4	1	no	—
1477	C₃×D₄	—	4	1	no	—
1478	C₃×D₄	—	4	1	no	—
1479	C₃×D₄	—	4	1	no	—
1480	C₃×D₄	—	4	1	no	—
1481	C₃×D₄	—	4	2	no	—
1482	C₃×D₄	—	4	2	no	—
1483	C₃×D₄	—	6	2	no	—
1484	C₃×D₄	—	6	2	no	—
1485	C₃×D₄	—	6	2	no	—
1486	C₃×D₄	—	6	2	no	—
1487	C₃×D₄	—	8	1	no	—
1488	C₃×D₄	—	12	1	no	—
1489	C₃×D₄	—	12	1	no	—
1490	C₃×D₄	—	12	1	no	—
1491	C₃×D₄	—	12	1	no	—
1492	C₃×D₄	—	12	1	no	—
1493	C₃×D₄	—	12	1	no	—
1494	C₃×D₄	—	12	1	no	—
1495	C₃×D₄	—	12	1	no	—
1496	C₃×D₄	—	12	1	no	—
1497	C₃×D₄	—	12	1	no	—
1498	C₃×D₄	—	12	1	no	—
1499	C₃×D₄	—	12	1	no	—
1500	C₃×D₄	—	12	1	no	—
1501	C₃×D₄	—	12	1	no	—
1502	C₃×D₄	—	12	1	no	—
1503	C₃×D₄	—	12	1	no	—
1504	C₃×D₄	—	12	1	no	—
1505	C₃×D₄	—	12	1	no	—
1506	C₃×D₄	—	12	1	no	—
1507	C₃×D₄	—	12	1	no	—
1508	C₂×C₃×C₄	—	2	1	no	—
1509	C₂×C₃×C₄	—	2	1	no	—
1510	C₂×C₃×C₄	—	2	1	no	—
1511	C₂×C₃×C₄	—	2	1	no	—
1512	C₂×C₃×C₄	—	2	1	no	—
1513	C₂×C₃×C₄	—	2	1	no	—
1514	C₂×C₃×C₄	—	2	1	no	—
1515	C₂×C₃×C₄	—	2	1	no	—
1516	C₂×C₃×C₄	—	2	1	no	—
1517	C₂×C₃×C₄	—	2	1	no	—
1518	C₂×C₃×C₄	—	2	1	no	—
1519	C₂×C₃×C₄	—	2	1	no	—
1520	C₂×C₃×C₄	—	3	1	no	—
1521	C₂×C₃×C₄	—	3	1	no	—
1522	C₂×C₃×C₄	—	3	1	no	—
1523	C₂×C₃×C₄	—	3	1	no	—
1524	C₂×C₃×C₄	—	3	1	no	—
1525	C₂×C₃×C₄	—	3	1	no	—
1526	C₂×C₃×C₄	—	3	1	no	—
1527	C₂×C₃×C₄	—	3	1	no	—
1528	C₂×C₃×C₄	—	3	1	no	—
1529	C₂×C₃×C₄	—	3	1	no	—
1530	C₂×C₃×C₄	—	4	1	no	—
1531	C₂×C₃×C₄	—	4	1	no	—
1532	C₂×C₃×C₄	—	4	1	no	—
1533	C₂×C₃×C₄	—	4	1	no	—
1534	C₂×C₃×C₄	—	4	1	no	—
1535	C₂×C₃×C₄	—	4	1	no	—
1536	C₂×C₃×C₄	—	4	1	no	—
1537	C₂×C₃×C₄	—	4	1	no	—
1538	C₂×C₃×C₄	—	4	1	no	—
1539	C₂×C₃×C₄	—	4	1	no	—
1540	C₂×C₃×C₄	—	4	2	no	—
1541	C₂×C₃×C₄	—	6	2	no	—
1542	C₂×C₃×C₄	—	6	2	no	—
1543	C₂×C₃×C₄	—	6	2	no	—
1544	C₂×C₃×C₄	—	8	1	no	—
1545	C₂×C₃×C₄	—	8	1	no	—
1546	C₂×C₃×C₄	—	8	1	no	—
1547	C₂×C₃×C₄	—	8	1	no	—
1548	C₂×C₃×C₄	—	12	1	no	—
1549	C₂×C₃×C₄	—	12	1	no	—
1550	C₂×C₃×C₄	—	12	1	no	—
1551	C₂×C₃×C₄	—	12	1	no	—
1552	C₂×C₃×C₄	—	12	1	no	—
1553	C₂×C₃×C₄	—	12	1	no	—
1554	C₂×C₃×C₄	—	12	1	no	—
1555	C₂×C₃×C₄	—	12	1	no	—
1556	C₂×C₃×C₄	—	12	1	no	—
1557	C₂×C₃×C₄	—	12	1	no	—
1558	C₂×C₃×C₄	—	12	1	no	—
1559	C₂×C₃×C₄	—	12	1	no	—
1560	C₂×C₃×C₄	—	12	1	no	—
1561	C₂×C₃×C₄	—	12	1	no	—
1562	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1563	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1564	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1565	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1566	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1567	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1568	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1569	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1570	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1571	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1572	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1573	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1574	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1575	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1576	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1577	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1578	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1579	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1580	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1581	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1582	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1583	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1584	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1585	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1586	#67	—	2	2	no	—
1587	#67	—	4	1	no	—
1588	#67	—	4	1	no	—
1589	#67	—	4	1	no	—
1590	#67	—	4	1	no	—
1591	#67	—	4	1	no	—
1592	#67	—	4	1	no	—
1593	#67	—	4	1	no	—
1594	#67	—	4	1	no	—
1595	#67	—	4	1	no	—
1596	#67	—	4	1	no	—
1597	#67	—	4	1	no	—
1598	C₂×Dic₃	—	4	1	no	—
1599	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1600	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1601	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1602	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1603	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1604	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1605	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1606	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1607	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1608	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1609	D₁₂	—	2	2	no	—
1610	D₁₂	—	2	2	no	—
1611	D₁₂	—	2	2	no	—
1612	D₁₂	—	4	1	no	—
1613	D₁₂	—	4	1	no	—
1614	D₁₂	—	4	1	no	—
1615	D₁₂	—	4	1	no	—
1616	D₁₂	—	4	1	no	—
1617	D₁₂	—	4	1	no	—
1618	D₁₂	—	4	1	no	—
1619	D₁₂	—	4	1	no	—
1620	D₁₂	—	4	1	no	—
1621	C₄×D₃	—	2	2	no	—
1622	C₄×D₃	—	2	2	no	—
1623	C₄×D₃	—	2	2	no	—
1624	C₄×D₃	—	4	1	no	—
1625	C₄×D₃	—	4	1	no	—
1626	C₄×D₃	—	4	1	no	—
1627	C₄×D₃	—	4	1	no	—
1628	C₄×D₃	—	4	1	no	—
1629	C₄×D₃	—	4	1	no	—
1630	C₄×D₃	—	4	1	no	—
1631	C₄×D₃	—	4	1	no	—
1632	C₄×D₃	—	4	1	no	—
1633	C₄×D₃	—	4	1	no	—
1634	C₄×D₃	—	4	1	no	—
1635	C₄×D₃	—	4	1	no	—
1636	C₄×D₃	—	4	1	no	—
1637	Dic₆	—	4	1	no	—
1638	Dic₆	—	4	1	no	—
1639	Dic₆	—	4	1	no	—
1640	Dic₆	—	4	1	no	—
1641	C₂×C₃²	—	4	1	no	—
1642	C₂×C₃²	—	4	1	no	—
1643	C₂×C₃²	—	4	1	no	—
1644	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1645	C₂×C₃²	#585	1	1	yes	characteristic
1646	C₂×C₃²	#585	1	1	yes	characteristic
1647	C₃×D₃	—	2	2	no	—
1648	C₃×D₃	—	4	1	no	—
1649	C₃×D₃	—	4	1	no	—
1650	C₃×D₃	—	4	1	no	—
1651	C₃×D₃	—	4	1	no	—
1652	C₃×D₃	—	4	1	no	—
1653	C₂⁴	—	3	1	no	—
1654	C₂⁴	—	3	1	no	—
1655	C₂⁴	—	3	1	no	—
1656	#41	—	12	2	no	—
1657	#41	—	12	2	no	—
1658	#41	—	12	2	no	—
1659	C₂×Q₈	—	3	1	no	—
1660	C₂×Q₈	—	3	1	no	—
1661	C₂×Q₈	—	3	1	no	—
1662	C₂×Q₈	—	3	1	no	—
1663	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1664	C₂×D₄	—	3	1	no	—
1665	C₂×D₄	—	3	1	no	—
1666	C₂×D₄	—	3	1	no	—
1667	C₂×D₄	—	3	1	no	—
1668	C₂×D₄	—	3	1	no	—
1669	C₂×D₄	—	3	1	no	—
1670	C₂×D₄	—	3	1	no	—
1671	C₂×D₄	—	3	1	no	—
1672	C₂×D₄	—	3	1	no	—
1673	C₂×D₄	—	3	1	no	—
1674	C₂×D₄	—	3	1	no	—
1675	C₂×D₄	—	3	1	no	—
1676	C₂×D₄	—	3	1	no	—
1677	C₂×D₄	—	3	1	no	—
1678	C₂×D₄	—	3	1	no	—
1679	C₂×D₄	—	3	1	no	—
1680	C₂×D₄	—	3	1	no	—
1681	C₂×D₄	—	3	1	no	—
1682	C₂×D₄	—	3	1	no	—
1683	C₂×D₄	—	3	1	no	—
1684	C₂×D₄	—	3	1	no	—
1685	C₂×D₄	—	3	1	no	—
1686	C₂×D₄	—	3	1	no	—
1687	C₂×D₄	—	3	1	no	—
1688	C₂×D₄	—	12	2	no	—
1689	C₂×D₄	—	12	2	no	—
1690	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1691	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1692	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1693	C₂²×C₄	—	3	1	no	—
1694	C₂²×C₄	—	3	1	no	—
1695	C₂²×C₄	—	3	1	no	—
1696	C₂²×C₄	—	3	1	no	—
1697	C₂²×C₄	—	3	1	no	—
1698	C₂²×C₄	—	3	1	no	—
1699	C₂²×C₄	—	3	1	no	—
1700	C₂²×C₄	—	3	1	no	—
1701	C₂²×C₄	—	3	1	no	—
1702	C₂²×C₄	—	3	1	no	—
1703	C₂²×C₄	—	3	1	no	—
1704	C₂²×C₄	—	3	1	no	—
1705	C₂²×C₄	—	3	1	no	—
1706	C₂²×C₄	—	3	1	no	—
1707	C₂²×C₄	—	3	1	no	—
1708	C₂²×C₄	—	3	1	no	—
1709	C₂²×C₄	—	3	1	no	—
1710	C₂²×C₄	—	12	2	no	—
1711	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1712	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1713	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1714	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1715	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1716	C₄⋊C₄	—	3	1	no	—
1717	C₄⋊C₄	—	3	1	no	—
1718	C₄⋊C₄	—	3	1	no	—
1719	C₄⋊C₄	—	3	1	no	—
1720	C₄⋊C₄	—	3	1	no	—
1721	C₄⋊C₄	—	3	1	no	—
1722	C₄⋊C₄	—	3	1	no	—
1723	C₄⋊C₄	—	3	1	no	—
1724	C₄⋊C₄	—	3	1	no	—
1725	C₄⋊C₄	—	3	1	no	—
1726	C₄⋊C₄	—	3	1	no	—
1727	C₄⋊C₄	—	3	1	no	—
1728	C₄⋊C₄	—	3	1	no	—
1729	C₄⋊C₄	—	3	1	no	—
1730	C₄⋊C₄	—	3	1	no	—
1731	C₄⋊C₄	—	3	1	no	—
1732	C₄⋊C₄	—	3	1	no	—
1733	C₄⋊C₄	—	3	1	no	—
1734	C₄⋊C₄	—	3	1	no	—
1735	C₄⋊C₄	—	3	1	no	—
1736	C₄⋊C₄	—	3	1	no	—
1737	C₄⋊C₄	—	3	1	no	—
1738	C₄⋊C₄	—	3	1	no	—
1739	C₄⋊C₄	—	3	1	no	—
1740	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1741	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1742	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1743	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1744	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1745	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1746	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1747	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1748	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1749	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1750	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1751	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1752	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1753	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1754	C₂²⋊C₄	—	3	1	no	—
1755	C₂²⋊C₄	—	3	1	no	—
1756	C₂²⋊C₄	—	3	1	no	—
1757	C₂²⋊C₄	—	3	1	no	—
1758	C₂²⋊C₄	—	3	1	no	—
1759	C₂²⋊C₄	—	3	1	no	—
1760	C₂²⋊C₄	—	3	1	no	—
1761	C₂²⋊C₄	—	3	1	no	—
1762	C₂²⋊C₄	—	3	1	no	—
1763	C₂²⋊C₄	—	3	1	no	—
1764	C₂²⋊C₄	—	3	1	no	—
1765	C₂²⋊C₄	—	3	1	no	—
1766	C₂²⋊C₄	—	3	1	no	—
1767	C₂²⋊C₄	—	3	1	no	—
1768	C₂²⋊C₄	—	3	1	no	—
1769	C₂²⋊C₄	—	3	1	no	—
1770	C₂²⋊C₄	—	3	1	no	—
1771	C₂²⋊C₄	—	3	1	no	—
1772	C₂²⋊C₄	—	3	1	no	—
1773	C₂²⋊C₄	—	3	1	no	—
1774	C₂²⋊C₄	—	3	1	no	—
1775	C₂²⋊C₄	—	3	1	no	—
1776	C₂²⋊C₄	—	3	1	no	—
1777	C₂²⋊C₄	—	3	1	no	—
1778	C₂²⋊C₄	—	3	1	no	—
1779	C₂²⋊C₄	—	3	1	no	—
1780	C₂²⋊C₄	—	3	1	no	—
1781	C₂²⋊C₄	—	3	1	no	—
1782	C₂²⋊C₄	—	3	1	no	—
1783	C₂²⋊C₄	—	3	1	no	—
1784	C₂²⋊C₄	—	3	1	no	—
1785	C₂²⋊C₄	—	3	1	no	—
1786	C₂²⋊C₄	—	3	1	no	—
1787	C₂²⋊C₄	—	3	1	no	—
1788	C₂²⋊C₄	—	3	1	no	—
1789	C₂²⋊C₄	—	3	1	no	—
1790	C₂²⋊C₄	—	3	1	no	—
1791	C₂²⋊C₄	—	3	1	no	—
1792	C₂²⋊C₄	—	3	1	no	—
1793	C₂²⋊C₄	—	3	1	no	—
1794	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1795	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1796	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1797	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1798	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1799	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1800	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1801	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1802	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1803	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1804	C₄²	—	3	1	no	—
1805	C₄²	—	3	1	no	—
1806	C₄²	—	3	1	no	—
1807	C₄²	—	3	1	no	—
1808	C₄²	—	3	1	no	—
1809	C₄²	—	3	1	no	—
1810	C₄²	—	3	1	no	—
1811	C₄²	—	3	1	no	—
1812	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1813	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1814	C₂²×C₃	—	2	2	no	—
1815	C₂²×C₃	—	2	1	no	—
1816	C₂²×C₃	—	2	1	no	—
1817	C₂²×C₃	—	2	1	no	—
1818	C₂²×C₃	—	2	1	no	—
1819	C₂²×C₃	—	2	1	no	—
1820	C₂²×C₃	—	2	1	no	—
1821	C₂²×C₃	—	2	1	no	—
1822	C₂²×C₃	—	2	1	no	—
1823	C₂²×C₃	—	2	1	no	—
1824	C₂²×C₃	—	2	1	no	—
1825	C₂²×C₃	—	2	1	no	—
1826	C₂²×C₃	—	2	1	no	—
1827	C₂²×C₃	—	2	1	no	—
1828	C₂²×C₃	—	2	1	no	—
1829	C₂²×C₃	—	2	1	no	—
1830	C₂²×C₃	—	2	1	no	—
1831	C₂²×C₃	—	2	1	no	—
1832	C₂²×C₃	—	2	1	no	—
1833	C₂²×C₃	—	2	1	no	—
1834	C₂²×C₃	—	3	2	no	—
1835	C₂²×C₃	—	4	1	no	—
1836	C₂²×C₃	—	4	1	no	—
1837	C₂²×C₃	—	4	1	no	—
1838	C₂²×C₃	—	4	1	no	—
1839	C₂²×C₃	—	4	1	no	—
1840	C₂²×C₃	—	4	1	no	—
1841	C₂²×C₃	—	4	1	no	—
1842	C₂²×C₃	—	4	1	no	—
1843	C₂²×C₃	—	6	1	no	—
1844	C₂²×C₃	—	6	1	no	—
1845	C₂²×C₃	—	6	1	no	—
1846	C₂²×C₃	—	6	1	no	—
1847	C₂²×C₃	—	6	1	no	—
1848	C₂²×C₃	—	6	1	no	—
1849	C₂²×C₃	—	6	1	no	—
1850	C₂²×C₃	—	6	1	no	—
1851	C₂²×C₃	—	6	1	no	—
1852	C₂²×C₃	—	6	1	no	—
1853	C₂²×C₃	—	6	1	no	—
1854	C₂²×C₃	—	6	1	no	—
1855	C₂²×C₃	—	6	1	no	—
1856	C₂²×C₃	—	6	1	no	—
1857	C₂²×C₃	—	6	1	no	—
1858	C₂²×C₃	—	6	1	no	—
1859	C₂²×C₃	—	6	1	no	—
1860	C₂²×C₃	—	12	4	no	—
1861	C₂²×C₃	—	24	2	no	—
1862	C₂²×C₃	—	24	2	no	—
1863	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1864	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1865	C₂×D₃	—	2	1	no	—
1866	C₂×D₃	—	2	1	no	—
1867	C₂×D₃	—	2	1	no	—
1868	C₂×D₃	—	2	1	no	—
1869	C₂×D₃	—	2	1	no	—
1870	C₂×D₃	—	2	1	no	—
1871	C₂×D₃	—	2	1	no	—
1872	C₂×D₃	—	2	1	no	—
1873	C₂×D₃	—	2	1	no	—
1874	C₂×D₃	—	2	1	no	—
1875	C₂×D₃	—	2	1	no	—
1876	C₂×D₃	—	2	1	no	—
1877	C₂×D₃	—	2	1	no	—
1878	C₂×D₃	—	2	1	no	—
1879	C₂×D₃	—	2	1	no	—
1880	C₂×D₃	—	2	1	no	—
1881	C₂×D₃	—	2	1	no	—
1882	C₂×D₃	—	4	4	no	—
1883	C₂×D₃	—	8	2	no	—
1884	C₂×D₃	—	8	2	no	—
1885	C₂×D₃	C₃×H(5,𝔽₂)	1	2	yes	—
1886	C₃×C₄	—	2	1	no	—
1887	C₃×C₄	—	2	1	no	—
1888	C₃×C₄	—	2	1	no	—
1889	C₃×C₄	—	2	1	no	—
1890	C₃×C₄	—	2	1	no	—
1891	C₃×C₄	—	2	1	no	—
1892	C₃×C₄	—	2	1	no	—
1893	C₃×C₄	—	2	1	no	—
1894	C₃×C₄	—	2	1	no	—
1895	C₃×C₄	—	2	1	no	—
1896	C₃×C₄	—	2	1	no	—
1897	C₃×C₄	—	2	1	no	—
1898	C₃×C₄	—	2	1	no	—
1899	C₃×C₄	—	2	1	no	—
1900	C₃×C₄	—	2	1	no	—
1901	C₃×C₄	—	2	1	no	—
1902	C₃×C₄	—	2	1	no	—
1903	C₃×C₄	—	2	1	no	—
1904	C₃×C₄	—	2	1	no	—
1905	C₃×C₄	—	2	1	no	—
1906	C₃×C₄	—	2	1	no	—
1907	C₃×C₄	—	2	1	no	—
1908	C₃×C₄	—	2	1	no	—
1909	C₃×C₄	—	2	1	no	—
1910	C₃×C₄	—	4	1	no	—
1911	C₃×C₄	—	4	1	no	—
1912	C₃×C₄	—	4	1	no	—
1913	C₃×C₄	—	4	1	no	—
1914	C₃×C₄	—	4	1	no	—
1915	C₃×C₄	—	4	1	no	—
1916	C₃×C₄	—	4	1	no	—
1917	C₃×C₄	—	4	1	no	—
1918	C₃×C₄	—	4	1	no	—
1919	C₃×C₄	—	4	1	no	—
1920	C₃×C₄	—	4	1	no	—
1921	C₃×C₄	—	4	1	no	—
1922	C₃×C₄	—	6	1	no	—
1923	C₃×C₄	—	6	1	no	—
1924	C₃×C₄	—	6	1	no	—
1925	C₃×C₄	—	6	1	no	—
1926	C₃×C₄	—	6	1	no	—
1927	C₃×C₄	—	6	1	no	—
1928	C₃×C₄	—	6	1	no	—
1929	C₃×C₄	—	6	1	no	—
1930	C₃×C₄	—	6	1	no	—
1931	C₃×C₄	—	6	1	no	—
1932	Dic₃	—	2	1	no	—
1933	Dic₃	—	2	1	no	—
1934	Dic₃	—	2	1	no	—
1935	Dic₃	—	2	1	no	—
1936	Dic₃	—	2	1	no	—
1937	Dic₃	—	2	1	no	—
1938	Dic₃	—	2	1	no	—
1939	Dic₃	—	2	1	no	—
1940	Dic₃	—	2	1	no	—
1941	Dic₃	—	2	1	no	—
1942	C₃²	#3533	1	1	yes	characteristic, complemented, Sylow
1943	C₂³	—	3	1	no	—
1944	C₂³	—	3	1	no	—
1945	C₂³	—	3	1	no	—
1946	C₂³	—	3	1	no	—
1947	C₂³	—	3	1	no	—
1948	C₂³	—	3	1	no	—
1949	C₂³	—	6	2	no	—
1950	C₂³	—	6	2	no	—
1951	C₂³	—	12	1	no	—
1952	C₂³	—	12	1	no	—
1953	C₂³	—	12	1	no	—
1954	C₂³	—	12	1	no	—
1955	C₂³	—	12	1	no	—
1956	C₂³	—	12	1	no	—
1957	C₂³	—	12	1	no	—
1958	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1959	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1960	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1961	Q₈	—	4	1	no	—
1962	Q₈	—	12	1	no	—
1963	Q₈	—	12	1	no	—
1964	Q₈	—	12	1	no	—
1965	Q₈	—	12	1	no	—
1966	D₄	—	4	1	no	—
1967	D₄	—	4	1	no	—
1968	D₄	—	4	1	no	—
1969	D₄	—	6	2	no	—
1970	D₄	—	6	2	no	—
1971	D₄	—	6	2	no	—
1972	D₄	—	6	2	no	—
1973	D₄	—	12	1	no	—
1974	D₄	—	12	1	no	—
1975	D₄	—	12	1	no	—
1976	D₄	—	12	1	no	—
1977	D₄	—	12	1	no	—
1978	D₄	—	12	1	no	—
1979	D₄	—	12	1	no	—
1980	D₄	—	12	1	no	—
1981	D₄	—	12	1	no	—
1982	D₄	—	12	1	no	—
1983	D₄	—	12	1	no	—
1984	D₄	—	12	1	no	—
1985	D₄	—	12	1	no	—
1986	D₄	—	12	1	no	—
1987	D₄	—	12	1	no	—
1988	D₄	—	12	1	no	—
1989	D₄	—	12	1	no	—
1990	D₄	—	12	1	no	—
1991	D₄	—	12	1	no	—
1992	D₄	—	12	1	no	—
1993	C₂×C₄	—	3	1	no	—
1994	C₂×C₄	—	3	1	no	—
1995	C₂×C₄	—	3	1	no	—
1996	C₂×C₄	—	3	1	no	—
1997	C₂×C₄	—	3	1	no	—
1998	C₂×C₄	—	3	1	no	—
1999	C₂×C₄	—	3	1	no	—
2000	C₂×C₄	—	3	1	no	—
2001	C₂×C₄	—	3	1	no	—
2002	C₂×C₄	—	3	1	no	—
2003	C₂×C₄	—	4	1	no	—
2004	C₂×C₄	—	4	1	no	—
2005	C₂×C₄	—	4	1	no	—
2006	C₂×C₄	—	4	1	no	—
2007	C₂×C₄	—	4	1	no	—
2008	C₂×C₄	—	6	2	no	—
2009	C₂×C₄	—	6	2	no	—
2010	C₂×C₄	—	6	2	no	—
2011	C₂×C₄	—	12	1	no	—
2012	C₂×C₄	—	12	1	no	—
2013	C₂×C₄	—	12	1	no	—
2014	C₂×C₄	—	12	1	no	—
2015	C₂×C₄	—	12	1	no	—
2016	C₂×C₄	—	12	1	no	—
2017	C₂×C₄	—	12	1	no	—
2018	C₂×C₄	—	12	1	no	—
2019	C₂×C₄	—	12	1	no	—
2020	C₂×C₄	—	12	1	no	—
2021	C₂×C₄	—	12	1	no	—
2022	C₂×C₄	—	12	1	no	—
2023	C₂×C₄	—	12	1	no	—
2024	C₂×C₄	—	12	1	no	—
2025	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2026	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2027	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2028	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2029	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2030	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2031	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2032	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2033	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2034	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2035	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2036	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2037	C₂×C₃	—	2	1	no	—
2038	C₂×C₃	—	2	1	no	—
2039	C₂×C₃	—	2	1	no	—
2040	C₂×C₃	—	4	2	no	—
2041	C₂×C₃	—	4	1	no	—
2042	C₂×C₃	—	4	1	no	—
2043	C₂×C₃	—	4	1	no	—
2044	C₂×C₃	—	4	1	no	—
2045	C₂×C₃	—	4	1	no	—
2046	C₂×C₃	—	4	1	no	—
2047	C₂×C₃	—	6	2	no	—
2048	C₂×C₃	—	8	1	no	—
2049	C₂×C₃	—	8	1	no	—
2050	C₂×C₃	—	12	1	no	—
2051	C₂×C₃	—	12	1	no	—
2052	C₂×C₃	—	12	1	no	—
2053	C₂×C₃	—	12	1	no	—
2054	C₂×C₃	—	12	1	no	—
2055	C₂×C₃	#5964	1	1	yes	characteristic
2056	C₂×C₃	D₃×H(5,𝔽₂)	1	1	yes	characteristic
2057	C₂×C₃	#5968	1	1	yes	characteristic
2058	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
2059	C₂×C₃	C₃×#585	1	1	yes	characteristic
2060	C₂×C₃	C₃×#585	1	1	yes	characteristic
2061	D₃	—	2	2	no	—
2062	D₃	—	4	1	no	—
2063	D₃	—	4	1	no	—
2064	D₃	—	4	1	no	—
2065	D₃	—	4	1	no	—
2066	D₃	—	4	1	no	—
2067	C₂²	—	2	1	no	—
2068	C₂²	—	2	1	no	—
2069	C₂²	—	2	1	no	—
2070	C₂²	—	2	1	no	—
2071	C₂²	—	2	1	no	—
2072	C₂²	—	2	1	no	—
2073	C₂²	—	2	1	no	—
2074	C₂²	—	2	1	no	—
2075	C₂²	—	2	1	no	—
2076	C₂²	—	3	2	no	—
2077	C₂²	—	6	1	no	—
2078	C₂²	—	6	1	no	—
2079	C₂²	—	6	1	no	—
2080	C₂²	—	6	1	no	—
2081	C₂²	—	6	1	no	—
2082	C₂²	—	6	1	no	—
2083	C₂²	—	6	1	no	—
2084	C₂²	—	6	1	no	—
2085	C₂²	—	6	1	no	—
2086	C₂²	—	6	1	no	—
2087	C₂²	—	6	1	no	—
2088	C₂²	—	6	1	no	—
2089	C₂²	—	6	1	no	—
2090	C₂²	—	6	1	no	—
2091	C₂²	—	6	1	no	—
2092	C₂²	—	6	1	no	—
2093	C₂²	—	6	1	no	—
2094	C₂²	—	12	4	no	—
2095	C₂²	—	24	2	no	—
2096	C₂²	—	24	2	no	—
2097	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
2098	C₄	—	2	1	no	—
2099	C₄	—	2	1	no	—
2100	C₄	—	2	1	no	—
2101	C₄	—	2	1	no	—
2102	C₄	—	2	1	no	—
2103	C₄	—	2	1	no	—
2104	C₄	—	2	1	no	—
2105	C₄	—	2	1	no	—
2106	C₄	—	2	1	no	—
2107	C₄	—	2	1	no	—
2108	C₄	—	2	1	no	—
2109	C₄	—	2	1	no	—
2110	C₄	—	6	1	no	—
2111	C₄	—	6	1	no	—
2112	C₄	—	6	1	no	—
2113	C₄	—	6	1	no	—
2114	C₄	—	6	1	no	—
2115	C₄	—	6	1	no	—
2116	C₄	—	6	1	no	—
2117	C₄	—	6	1	no	—
2118	C₄	—	6	1	no	—
2119	C₄	—	6	1	no	—
2120	C₃	—	2	1	no	—
2121	C₃	#86457	1	1	yes	characteristic, direct product factor
2122	C₃	C₃×#3533	1	1	yes	characteristic, complemented
2123	C₂	—	4	1	no	—
2124	C₂	—	4	1	no	—
2125	C₂	—	4	1	no	—
2126	C₂	—	6	2	no	—
2127	C₂	—	12	1	no	—
2128	C₂	—	12	1	no	—
2129	C₂	—	12	1	no	—
2130	C₂	—	12	1	no	—
2131	C₂	—	12	1	no	—
2132	C₂	C₃×#5964	1	1	yes	characteristic
2133	C₂	C₃×D₃×H(5,𝔽₂)	1	1	yes	characteristic
2134	C₂	C₃×#5968	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×#539	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#539	D₃
hypocenter	C₃	C₃×#3533
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#539

Complements

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

N	H ≅ G/N	type
1. C₃²×#539	C₂	semidirect
2. C₃×#5710	C₂	semidirect
3. C₃×#5705	C₂	semidirect
4. C₃×#5705	C₂	semidirect
5. C₃×#5704	C₂	semidirect
6. C₃×#5700	C₂	semidirect
7. C₃×#5695	C₂	semidirect
8. C₃×#5694	C₂	semidirect
9. C₃×#5693	C₂	semidirect
10. C₃×#5666	C₂	semidirect
11. C₃×#5663	C₂	semidirect
12. C₃×#5660	C₂	semidirect
13. C₃×#5659	C₂	semidirect
14. C₃×#5657	C₂	semidirect
15. C₃×#5657	C₂	semidirect
16. C₃×#5653	C₂	semidirect
17. C₃×D₃×#123	C₂	semidirect
18. C₃×#5647	C₂	semidirect
19. C₃×#5646	C₂	semidirect
20. C₃×#5640	C₂	semidirect
21. C₃×#5631	C₂	semidirect
22. C₃×#5630	C₂	semidirect
23. C₃×#5627	C₂	semidirect
24. C₃×#5613	C₂	semidirect
25. C₃×#5607	C₂	semidirect
26. C₃×#5562	C₂	semidirect
27. C₃×#5559	C₂	semidirect
28. C₃×#5550	C₂	semidirect
29. C₃×#5547	C₂	semidirect
30. C₃×#5514	C₂	semidirect
31. C₃×#5507	C₂	semidirect
33. #86457	C₃	direct (N × H)
37. C₂×C₃×#235	C₂²	semidirect
39. C₂²×C₃×C₄×D₃	C₂²	semidirect
40. C₃²×#126	C₂²	semidirect
41. C₃²×#126	C₂²	semidirect
42. C₃²×#125	C₂²	semidirect
43. C₃²×#125	C₂²	semidirect
46. C₃²×#123	C₂²	semidirect
47. C₃²×#123	C₂²	semidirect
48. C₃²×C₂²⋊Q₈	C₂²	semidirect
49. C₃²×C₂²⋊Q₈	C₂²	semidirect
50. C₃²×C₂²⋊Q₈	C₂²	semidirect
52. C₃²×C₄×D₄	C₂²	semidirect
53. C₃²×C₄×D₄	C₂²	semidirect
54. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
55. C₃×#947	C₂²	semidirect
56. C₃×#946	C₂²	semidirect
57. C₃×#944	C₂²	semidirect
59. C₃×#940	C₂²	semidirect
60. C₃×#939	C₂²	semidirect
62. C₃×#938	C₂²	semidirect
65. C₃×#937	C₂²	semidirect
66. C₃×#937	C₂²	semidirect
67. C₃×#936	C₂²	semidirect
69. C₃×#930	C₂²	semidirect
70. C₃×#930	C₂²	semidirect
71. C₃×#930	C₂²	semidirect
72. C₃×#930	C₂²	semidirect
73. C₃×#930	C₂²	semidirect
75. C₃×#929	C₂²	semidirect
76. C₃×#929	C₂²	semidirect
77. C₃×#929	C₂²	semidirect
78. C₃×C₄×#67	C₂²	semidirect
79. C₃×C₄×#67	C₂²	semidirect
80. C₃×C₄×#67	C₂²	semidirect
81. C₃×C₄×#67	C₂²	semidirect
82. C₃×C₄×#67	C₂²	semidirect
83. C₃×C₄×#67	C₂²	semidirect
84. C₃×#924	C₂²	semidirect
85. C₃×#898	C₂²	semidirect
86. C₃×#898	C₂²	semidirect
87. C₃×#898	C₂²	semidirect
88. C₃×#898	C₂²	semidirect
89. C₃×#898	C₂²	semidirect
90. C₃×#898	C₂²	semidirect
91. C₃×#897	C₂²	semidirect
92. C₃×#897	C₂²	semidirect
93. C₃×#897	C₂²	semidirect
94. C₃×#896	C₂²	semidirect
95. C₃×#896	C₂²	semidirect
96. C₃×#896	C₂²	semidirect
97. C₃×#896	C₂²	semidirect
98. C₃×#896	C₂²	semidirect
99. C₃×#896	C₂²	semidirect
100. C₃×#896	C₂²	semidirect
104. C₃×#895	C₂²	semidirect
105. C₃×#895	C₂²	semidirect
106. C₃×#895	C₂²	semidirect
107. C₃×#895	C₂²	semidirect
108. C₃×#895	C₂²	semidirect
113. C₃×#894	C₂²	semidirect
114. C₃×#894	C₂²	semidirect
115. C₃×#894	C₂²	semidirect
116. C₃×#894	C₂²	semidirect
117. C₃×#894	C₂²	semidirect
118. C₃×#894	C₂²	semidirect
119. C₃×#894	C₂²	semidirect
120. C₃×#894	C₂²	semidirect
121. C₃×#894	C₂²	semidirect
123. C₃×#893	C₂²	semidirect
124. C₃×#893	C₂²	semidirect
125. C₃×#893	C₂²	semidirect
126. C₃×#893	C₂²	semidirect
127. C₃×#892	C₂²	semidirect
128. C₃×#892	C₂²	semidirect
129. C₃×#892	C₂²	semidirect
130. C₃×#892	C₂²	semidirect
131. C₃×#892	C₂²	semidirect
132. C₃×D₃×C₄⋊C₄	C₂²	semidirect
133. C₃×D₃×C₄⋊C₄	C₂²	semidirect
134. C₃×D₃×C₄⋊C₄	C₂²	semidirect
135. C₃×#890	C₂²	semidirect
136. C₃×#890	C₂²	semidirect
137. C₃×#889	C₂²	semidirect
138. C₃×#889	C₂²	semidirect
139. C₃×#888	C₂²	semidirect
140. C₃×#887	C₂²	semidirect
141. C₃×#886	C₂²	semidirect
143. C₃×#885	C₂²	semidirect
144. C₃×#885	C₂²	semidirect
145. C₃×#885	C₂²	semidirect
146. C₃×#885	C₂²	semidirect
147. C₃×#885	C₂²	semidirect
151. C₃×#884	C₂²	semidirect
152. C₃×#884	C₂²	semidirect
153. C₃×#884	C₂²	semidirect
154. C₃×#884	C₂²	semidirect
157. C₃×#883	C₂²	semidirect
158. C₃×#883	C₂²	semidirect
159. C₃×#883	C₂²	semidirect
160. C₃×#883	C₂²	semidirect
161. C₃×#883	C₂²	semidirect
166. C₃×#882	C₂²	semidirect
167. C₃×#882	C₂²	semidirect
168. C₃×#67⋊C₄	C₂²	semidirect
169. C₃×#67⋊C₄	C₂²	semidirect
173. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
174. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
175. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
176. C₃×#879	C₂²	semidirect
177. C₃×#879	C₂²	semidirect
178. C₃×#879	C₂²	semidirect
179. C₃×#879	C₂²	semidirect
180. C₃×#878	C₂²	semidirect
181. C₃×#875	C₂²	semidirect
182. C₃×#875	C₂²	semidirect
184. C₃×C₄×D₁₂	C₂²	semidirect
185. C₃×C₄×D₁₂	C₂²	semidirect
186. C₃×#872	C₂²	semidirect
187. C₃×#872	C₂²	semidirect
188. C₃×C₄×Dic₆	C₂²	semidirect
211. C₃×#539	D₃	semidirect
212. C₃×#539	C₂×C₃	semidirect
222. #5710	C₂×C₃	semidirect
223. #5705	C₂×C₃	semidirect
224. #5705	C₂×C₃	semidirect
225. #5704	C₂×C₃	semidirect
226. #5700	C₂×C₃	semidirect
227. #5695	C₂×C₃	semidirect
228. #5694	C₂×C₃	semidirect
229. #5693	C₂×C₃	semidirect
230. #5666	C₂×C₃	semidirect
231. #5663	C₂×C₃	semidirect
232. #5660	C₂×C₃	semidirect
233. #5659	C₂×C₃	semidirect
234. #5657	C₂×C₃	semidirect
235. #5657	C₂×C₃	semidirect
236. #5653	C₂×C₃	semidirect
237. D₃×#123	C₂×C₃	semidirect
238. #5647	C₂×C₃	semidirect
239. #5646	C₂×C₃	semidirect
240. #5640	C₂×C₃	semidirect
241. #5631	C₂×C₃	semidirect
242. #5630	C₂×C₃	semidirect
243. #5627	C₂×C₃	semidirect
244. #5613	C₂×C₃	semidirect
245. #5607	C₂×C₃	semidirect
246. #5562	C₂×C₃	semidirect
247. #5559	C₂×C₃	semidirect
248. #5550	C₂×C₃	semidirect
249. #5547	C₂×C₃	semidirect
250. #5514	C₂×C₃	semidirect
251. #5507	C₂×C₃	semidirect
423. C₂×#235	C₂²×C₃	semidirect
425. C₂²×C₄×D₃	C₂²×C₃	semidirect
442. C₃×#126	C₂×D₃	semidirect
443. C₃×#126	C₂×D₃	semidirect
444. C₃×#126	C₂²×C₃	semidirect
445. C₃×#126	C₂²×C₃	semidirect
452. C₃×#125	C₂×D₃	semidirect
453. C₃×#125	C₂×D₃	semidirect
454. C₃×#125	C₂²×C₃	semidirect
455. C₃×#125	C₂²×C₃	semidirect
498. C₃×#123	C₂×D₃	semidirect
499. C₃×#123	C₂×D₃	semidirect
502. C₃×#123	C₂²×C₃	semidirect
503. C₃×#123	C₂²×C₃	semidirect
520. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
521. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
522. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
523. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
524. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
525. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
582. C₃×C₄×D₄	C₂×D₃	semidirect
583. C₃×C₄×D₄	C₂×D₃	semidirect
584. C₃×C₄×D₄	C₂²×C₃	semidirect
585. C₃×C₄×D₄	C₂²×C₃	semidirect
597. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
598. C₂×C₃×C₄⋊C₄	C₂²×C₃	semidirect
605. #947	C₂²×C₃	semidirect
606. #946	C₂²×C₃	semidirect
607. #944	C₂²×C₃	semidirect
609. #940	C₂²×C₃	semidirect
610. #939	C₂²×C₃	semidirect
612. #938	C₂²×C₃	semidirect
615. #937	C₂²×C₃	semidirect
616. #937	C₂²×C₃	semidirect
617. #936	C₂²×C₃	semidirect
619. #930	C₂²×C₃	semidirect
620. #930	C₂²×C₃	semidirect
621. #930	C₂²×C₃	semidirect
622. #930	C₂²×C₃	semidirect
623. #930	C₂²×C₃	semidirect
625. #929	C₂²×C₃	semidirect
626. #929	C₂²×C₃	semidirect
627. #929	C₂²×C₃	semidirect
628. C₄×#67	C₂²×C₃	semidirect
629. C₄×#67	C₂²×C₃	semidirect
630. C₄×#67	C₂²×C₃	semidirect
631. C₄×#67	C₂²×C₃	semidirect
632. C₄×#67	C₂²×C₃	semidirect
633. C₄×#67	C₂²×C₃	semidirect
634. #924	C₂²×C₃	semidirect
635. #898	C₂²×C₃	semidirect
636. #898	C₂²×C₃	semidirect
637. #898	C₂²×C₃	semidirect
638. #898	C₂²×C₃	semidirect
639. #898	C₂²×C₃	semidirect
640. #898	C₂²×C₃	semidirect
641. #897	C₂²×C₃	semidirect
642. #897	C₂²×C₃	semidirect
643. #897	C₂²×C₃	semidirect
644. #896	C₂²×C₃	semidirect
645. #896	C₂²×C₃	semidirect
646. #896	C₂²×C₃	semidirect
647. #896	C₂²×C₃	semidirect
648. #896	C₂²×C₃	semidirect
649. #896	C₂²×C₃	semidirect
650. #896	C₂²×C₃	semidirect
654. #895	C₂²×C₃	semidirect
655. #895	C₂²×C₃	semidirect
656. #895	C₂²×C₃	semidirect
657. #895	C₂²×C₃	semidirect
658. #895	C₂²×C₃	semidirect
663. #894	C₂²×C₃	semidirect
664. #894	C₂²×C₃	semidirect
665. #894	C₂²×C₃	semidirect
666. #894	C₂²×C₃	semidirect
667. #894	C₂²×C₃	semidirect
668. #894	C₂²×C₃	semidirect
669. #894	C₂²×C₃	semidirect
670. #894	C₂²×C₃	semidirect
671. #894	C₂²×C₃	semidirect
673. #893	C₂²×C₃	semidirect
674. #893	C₂²×C₃	semidirect
675. #893	C₂²×C₃	semidirect
676. #893	C₂²×C₃	semidirect
677. #892	C₂²×C₃	semidirect
678. #892	C₂²×C₃	semidirect
679. #892	C₂²×C₃	semidirect
680. #892	C₂²×C₃	semidirect
681. #892	C₂²×C₃	semidirect
682. D₃×C₄⋊C₄	C₂²×C₃	semidirect
683. D₃×C₄⋊C₄	C₂²×C₃	semidirect
684. D₃×C₄⋊C₄	C₂²×C₃	semidirect
685. #890	C₂²×C₃	semidirect
686. #890	C₂²×C₃	semidirect
687. #889	C₂²×C₃	semidirect
688. #889	C₂²×C₃	semidirect
689. #888	C₂²×C₃	semidirect
690. #887	C₂²×C₃	semidirect
691. #886	C₂²×C₃	semidirect
693. #885	C₂²×C₃	semidirect
694. #885	C₂²×C₃	semidirect
695. #885	C₂²×C₃	semidirect
696. #885	C₂²×C₃	semidirect
697. #885	C₂²×C₃	semidirect
701. #884	C₂²×C₃	semidirect
702. #884	C₂²×C₃	semidirect
703. #884	C₂²×C₃	semidirect
704. #884	C₂²×C₃	semidirect
707. #883	C₂²×C₃	semidirect
708. #883	C₂²×C₃	semidirect
709. #883	C₂²×C₃	semidirect
710. #883	C₂²×C₃	semidirect
711. #883	C₂²×C₃	semidirect
716. #882	C₂²×C₃	semidirect
717. #882	C₂²×C₃	semidirect
718. #67⋊C₄	C₂²×C₃	semidirect
719. #67⋊C₄	C₂²×C₃	semidirect
723. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
724. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
725. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
726. #879	C₂²×C₃	semidirect
727. #879	C₂²×C₃	semidirect
728. #879	C₂²×C₃	semidirect
729. #879	C₂²×C₃	semidirect
730. #878	C₂²×C₃	semidirect
731. #875	C₂²×C₃	semidirect
732. #875	C₂²×C₃	semidirect
734. C₄×D₁₂	C₂²×C₃	semidirect
735. C₄×D₁₂	C₂²×C₃	semidirect
736. #872	C₂²×C₃	semidirect
737. #872	C₂²×C₃	semidirect
738. C₄×Dic₆	C₂²×C₃	semidirect
854. #539	C₃×D₃	semidirect
1294. #126	C₂×C₃×D₃	semidirect
1295. #126	C₂×C₃×D₃	semidirect
1300. #125	C₂×C₃×D₃	semidirect
1301. #125	C₂×C₃×D₃	semidirect
1340. #123	C₂×C₃×D₃	semidirect
1341. #123	C₂×C₃×D₃	semidirect
1355. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
1356. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
1357. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
1410. C₄×D₄	C₂×C₃×D₃	semidirect
1411. C₄×D₄	C₂×C₃×D₃	semidirect
1422. C₂×C₄⋊C₄	C₂×C₃×D₃	semidirect
1942. C₃²	#3533	semidirect
2121. C₃	#86457	direct (N × H)
2122. C₃	C₃×#3533	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#539	2
C₃×#5710	2
C₃×#5705	2
C₃×#5704	2
C₃×#5700	2
C₃×#5695	2
C₃×#5694	2
C₃×#5693	2
C₃×#5666	2
C₃×#5663	2
C₃×#5660	2
C₃×#5659	2
C₃×#5657	2
C₃×#5653	2
C₃×D₃×#123	2
C₃×#5647	2
C₃×#5646	2
C₃×#5640	2
C₃×#5631	2
C₃×#5630	2
C₃×#5627	2
C₃×#5613	2
C₃×#5607	2
C₃×#5562	2
C₃×#5559	2
C₃×#5550	2
C₃×#5547	2
C₃×#5514	2
C₃×#5507	2
C₃×#3533	3
#86457	3

Subgroups — C3×#86457 #11910657

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86457 #11910657