Subgroups — C₃×#87002 #11918328

Order 1152.

2022 conjugacy classes of subgroups.

The subgroup lattice has 2006 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#556	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5735	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5733	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5712	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5706	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5705	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5704	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5704	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5704	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5702	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5702	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5683	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5679	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5678	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5669	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5646	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#5644	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#5640	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5637	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5584	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#5582	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5582	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#5580	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#5568	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#5568	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#5560	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#5556	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#5534	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#5528	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#5527	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#5527	C₂	1	1	yes	maximal, characteristic, complemented
32	C₃×#3568	—	3	1	no	maximal
33	#87002	C₃	1	1	yes	maximal, characteristic, direct product factor
34	C₃²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
36	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
37	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
38	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
39	C₃²×#124	C₂²	1	1	yes	characteristic
40	C₃²×#124	C₂²	1	1	yes	characteristic
41	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
42	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
43	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
44	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
47	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
48	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
49	C₃×#947	C₂²	1	1	yes	characteristic
50	C₃×#947	C₂²	1	1	yes	characteristic
51	C₃×#947	C₂²	1	1	yes	characteristic
52	C₃×#947	C₂²	1	1	yes	characteristic, complemented
53	C₃×#947	C₂²	1	1	yes	characteristic, complemented
54	C₃×#946	C₂²	1	1	yes	characteristic, complemented
55	C₃×#946	C₂²	1	1	yes	characteristic, complemented
56	C₃×#946	C₂²	1	1	yes	characteristic, complemented
57	C₃×#946	C₂²	1	1	yes	characteristic, complemented
58	C₃×#946	C₂²	1	1	yes	characteristic, complemented
59	C₃×#944	C₂²	1	1	yes	characteristic, complemented
60	C₃×#944	C₂²	1	1	yes	characteristic, complemented
61	C₃×#939	C₂²	1	1	yes	characteristic
62	C₃×#937	C₂²	1	1	yes	characteristic
63	C₃×#937	C₂²	1	1	yes	characteristic
64	C₃×#935	C₂²	1	1	yes	characteristic
65	C₃×#930	C₂²	1	1	yes	characteristic
66	C₃×#929	C₂²	1	1	yes	characteristic
67	C₃×#929	C₂²	1	1	yes	characteristic
68	C₃×C₄×#67	C₂²	1	1	yes	characteristic
69	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
70	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
72	C₃×#924	C₂²	1	1	yes	characteristic, complemented
73	C₃×#898	C₂²	1	1	yes	characteristic, complemented
74	C₃×#898	C₂²	1	1	yes	characteristic, complemented
75	C₃×#898	C₂²	1	1	yes	characteristic, complemented
76	C₃×#898	C₂²	1	1	yes	characteristic, complemented
77	C₃×#898	C₂²	1	1	yes	characteristic, complemented
78	C₃×#898	C₂²	1	1	yes	characteristic, complemented
79	C₃×#898	C₂²	1	1	yes	characteristic, complemented
80	C₃×#898	C₂²	1	1	yes	characteristic, complemented
81	C₃×#898	C₂²	1	1	yes	characteristic, complemented
82	C₃×#898	C₂²	1	1	yes	characteristic, complemented
83	C₃×#898	C₂²	1	1	yes	characteristic, complemented
84	C₃×#898	C₂²	1	1	yes	characteristic, complemented
85	C₃×#897	C₂²	1	1	yes	characteristic, complemented
86	C₃×#896	C₂²	1	1	yes	characteristic, complemented
87	C₃×#896	C₂²	1	1	yes	characteristic, complemented
88	C₃×#896	C₂²	1	1	yes	characteristic, complemented
89	C₃×#896	C₂²	1	1	yes	characteristic, complemented
90	C₃×#896	C₂²	1	1	yes	characteristic, complemented
91	C₃×#896	C₂²	1	1	yes	characteristic, complemented
92	C₃×#896	C₂²	1	1	yes	characteristic, complemented
93	C₃×#896	C₂²	1	1	yes	characteristic, complemented
94	C₃×#896	C₂²	1	1	yes	characteristic, complemented
95	C₃×#895	C₂²	1	1	yes	characteristic
96	C₃×#895	C₂²	1	1	yes	characteristic
97	C₃×#895	C₂²	1	1	yes	characteristic
98	C₃×#895	C₂²	1	1	yes	characteristic
99	C₃×#894	C₂²	1	1	yes	characteristic
100	C₃×#894	C₂²	1	1	yes	characteristic
101	C₃×#894	C₂²	1	1	yes	characteristic
102	C₃×#894	C₂²	1	1	yes	characteristic
103	C₃×#894	C₂²	1	1	yes	characteristic
104	C₃×#894	C₂²	1	1	yes	characteristic, complemented
105	C₃×#894	C₂²	1	1	yes	characteristic, complemented
106	C₃×#894	C₂²	1	1	yes	characteristic, complemented
107	C₃×#894	C₂²	1	1	yes	characteristic, complemented
108	C₃×#893	C₂²	1	1	yes	characteristic
109	C₃×#893	C₂²	1	1	yes	characteristic
110	C₃×#893	C₂²	1	1	yes	characteristic, complemented
111	C₃×#892	C₂²	1	1	yes	characteristic, complemented
112	C₃×#892	C₂²	1	1	yes	characteristic, complemented
113	C₃×#890	C₂²	1	1	yes	characteristic, complemented
114	C₃×#889	C₂²	1	1	yes	characteristic, complemented
115	C₃×#889	C₂²	1	1	yes	characteristic, complemented
116	C₃×#888	C₂²	1	1	yes	characteristic, complemented
117	C₃×#888	C₂²	1	1	yes	characteristic, complemented
118	C₃×#887	C₂²	1	1	yes	characteristic, complemented
119	C₃×#887	C₂²	1	1	yes	characteristic, complemented
120	C₃×#887	C₂²	1	1	yes	characteristic, complemented
121	C₃×#886	C₂²	1	1	yes	characteristic
122	C₃×#885	C₂²	1	1	yes	characteristic
123	C₃×#885	C₂²	1	1	yes	characteristic
124	C₃×#885	C₂²	1	1	yes	characteristic
125	C₃×#885	C₂²	1	1	yes	characteristic
126	C₃×#885	C₂²	1	1	yes	characteristic
127	C₃×#885	C₂²	1	1	yes	characteristic
128	C₃×#885	C₂²	1	1	yes	characteristic, complemented
129	C₃×#885	C₂²	1	1	yes	characteristic, complemented
130	C₃×#884	C₂²	1	1	yes	characteristic
131	C₃×#884	C₂²	1	1	yes	characteristic
132	C₃×#884	C₂²	1	1	yes	characteristic
133	C₃×#883	C₂²	1	1	yes	characteristic
134	C₃×#883	C₂²	1	1	yes	characteristic
135	C₃×#883	C₂²	1	1	yes	characteristic
136	C₃×#883	C₂²	1	1	yes	characteristic, complemented
137	C₃×#883	C₂²	1	1	yes	characteristic, complemented
138	C₃×#882	C₂²	1	1	yes	characteristic
139	C₃×#882	C₂²	1	1	yes	characteristic
140	C₃×#882	C₂²	1	1	yes	characteristic
141	C₃×#882	C₂²	1	1	yes	characteristic
142	C₃×#882	C₂²	1	1	yes	characteristic, complemented
143	C₃×#882	C₂²	1	1	yes	characteristic, complemented
144	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
145	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
146	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
147	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
148	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
149	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
150	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
151	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
152	C₃×#879	C₂²	1	1	yes	characteristic, complemented
153	C₃×#879	C₂²	1	1	yes	characteristic, complemented
154	C₃×#879	C₂²	1	1	yes	characteristic, complemented
155	C₃×#879	C₂²	1	1	yes	characteristic, complemented
156	C₃×#878	C₂²	1	1	yes	characteristic, complemented
157	C₃×#878	C₂²	1	1	yes	characteristic, complemented
158	C₃×#878	C₂²	1	1	yes	characteristic, complemented
159	C₃×#877	C₂²	1	1	yes	characteristic, complemented
160	C₃×#877	C₂²	1	1	yes	characteristic, complemented
161	C₃×#876	C₂²	1	1	yes	characteristic, complemented
162	C₃×#876	C₂²	1	1	yes	characteristic, complemented
163	C₃×#876	C₂²	1	1	yes	characteristic, complemented
164	C₃×#876	C₂²	1	1	yes	characteristic, complemented
165	C₃×#876	C₂²	1	1	yes	characteristic, complemented
166	C₃×#876	C₂²	1	1	yes	characteristic, complemented
167	C₃×#875	C₂²	1	1	yes	characteristic
168	C₃×#875	C₂²	1	1	yes	characteristic
169	C₃×#875	C₂²	1	1	yes	characteristic
170	C₃×#875	C₂²	1	1	yes	characteristic
171	C₃×#875	C₂²	1	1	yes	characteristic, complemented
172	C₃×#875	C₂²	1	1	yes	characteristic, complemented
173	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
174	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
175	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
176	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
177	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
178	C₃×#872	C₂²	1	1	yes	characteristic, complemented
179	C₃×#872	C₂²	1	1	yes	characteristic, complemented
180	C₃×#872	C₂²	1	1	yes	characteristic, complemented
181	C₃×#872	C₂²	1	1	yes	characteristic, complemented
182	C₃×#872	C₂²	1	1	yes	characteristic, complemented
183	C₃×#872	C₂²	1	1	yes	characteristic, complemented
184	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic, complemented
185	C₃×#869	C₂²	1	1	yes	characteristic, complemented
186	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
187	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
188	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
189	C₃×#563	—	3	1	no	—
190	C₃×#563	—	3	1	no	—
191	C₃×#563	—	3	1	no	—
192	C₃×H(3,𝔽₄)	—	3	1	no	—
193	C₃×#556	—	2	1	no	—
194	C₃×#556	—	3	1	no	—
195	C₃×#556	—	3	1	no	—
196	C₃×#556	—	3	1	no	—
197	C₃×#556	—	3	1	no	—
198	C₃×#556	—	3	1	no	—
199	C₃×#556	D₃	1	1	yes	characteristic, complemented
200	C₃×#556	C₂×C₃	1	1	yes	characteristic, complemented
201	C₃×#551	—	3	1	no	—
202	C₃×#551	—	3	1	no	—
203	C₃×#551	—	3	1	no	—
204	C₃×#551	—	3	1	no	—
205	C₃×#551	—	3	1	no	—
206	C₃×#551	—	3	1	no	—
207	C₃×#542	—	3	1	no	—
208	C₃×#542	—	3	1	no	—
209	C₃×#542	—	3	1	no	—
210	C₃×#542	—	3	1	no	—
211	C₃×#542	—	3	1	no	—
212	C₃×#542	—	3	1	no	—
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×#538	—	3	1	no	—
218	C₃×#538	—	3	1	no	—
219	C₃×#529	—	3	1	no	—
220	C₃×#529	—	3	1	no	—
221	C₃×#529	—	3	1	no	—
222	#5735	C₂×C₃	1	1	yes	characteristic, complemented
223	#5733	C₂×C₃	1	1	yes	characteristic, complemented
224	#5712	C₂×C₃	1	1	yes	characteristic, complemented
225	#5706	C₂×C₃	1	1	yes	characteristic, complemented
226	#5705	C₂×C₃	1	1	yes	characteristic, complemented
227	#5704	C₂×C₃	1	1	yes	characteristic, complemented
228	#5704	C₂×C₃	1	1	yes	characteristic, complemented
229	#5704	C₂×C₃	1	1	yes	characteristic, complemented
230	#5702	C₂×C₃	1	1	yes	characteristic, complemented
231	#5702	C₂×C₃	1	1	yes	characteristic, complemented
232	#5683	C₂×C₃	1	1	yes	characteristic, complemented
233	#5679	C₂×C₃	1	1	yes	characteristic, complemented
234	#5678	C₂×C₃	1	1	yes	characteristic, complemented
235	#5669	C₂×C₃	1	1	yes	characteristic, complemented
236	#5646	C₂×C₃	1	1	yes	characteristic, complemented
237	#5644	C₂×C₃	1	1	yes	characteristic, complemented
238	#5640	C₂×C₃	1	1	yes	characteristic, complemented
239	#5637	C₂×C₃	1	1	yes	characteristic, complemented
240	#5584	C₂×C₃	1	1	yes	characteristic, complemented
241	#5582	C₂×C₃	1	1	yes	characteristic, complemented
242	#5582	C₂×C₃	1	1	yes	characteristic, complemented
243	#5580	C₂×C₃	1	1	yes	characteristic, complemented
244	#5568	C₂×C₃	1	1	yes	characteristic, complemented
245	#5568	C₂×C₃	1	1	yes	characteristic, complemented
246	#5560	C₂×C₃	1	1	yes	characteristic, complemented
247	#5556	C₂×C₃	1	1	yes	characteristic, complemented
248	#5534	C₂×C₃	1	1	yes	characteristic, complemented
249	#5528	C₂×C₃	1	1	yes	characteristic, complemented
250	#5527	C₂×C₃	1	1	yes	characteristic, complemented
251	#5527	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	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
255	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
256	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
257	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
258	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
259	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
260	C₂×C₃×#67	C₂³	1	1	yes	characteristic
261	C₂×C₃×#67	C₂³	1	1	yes	characteristic
262	C₂×C₃×#67	C₂³	1	1	yes	characteristic
263	C₂×C₃×#67	C₂³	1	1	yes	characteristic
264	C₂×C₃×#67	C₂³	1	1	yes	characteristic
265	C₂×C₃×#67	C₂³	1	1	yes	characteristic
266	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
267	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
268	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
269	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
270	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
271	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
272	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
273	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
274	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
275	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
276	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
277	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
278	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
279	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
280	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
281	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
282	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
283	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
284	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
285	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
286	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
287	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
288	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
289	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
290	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
291	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
292	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
293	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₃²×C₄²	C₂³	1	1	yes	characteristic
316	C₃²×C₄²	C₂³	1	1	yes	characteristic
317	C₃²×C₄²	C₂³	1	1	yes	characteristic
318	C₃²×C₄²	C₂³	1	1	yes	characteristic
319	C₃²×C₄²	C₂³	1	1	yes	characteristic
320	C₃²×C₄²	C₂³	1	1	yes	characteristic
321	C₃²×C₄²	C₂³	1	1	yes	characteristic
322	C₃×#217	C₂³	1	1	yes	characteristic
323	C₃×#217	C₂³	1	1	yes	characteristic
324	C₃×#217	C₂³	1	1	yes	characteristic
325	C₃×#217	C₂³	1	1	yes	characteristic
326	C₃×#217	C₂³	1	1	yes	characteristic
327	C₃×#217	C₂³	1	1	yes	characteristic
328	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
329	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
330	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
331	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
332	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
333	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
334	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
335	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
336	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
337	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
338	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
339	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
340	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
341	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
342	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
343	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
344	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
345	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
346	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
347	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
348	C₃×(C₂×D₃)⋊C₄	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×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
367	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
368	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
369	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
370	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
371	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
372	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
373	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
374	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
375	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
376	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
377	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
378	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
379	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
380	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
381	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
382	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
383	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
384	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
385	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
386	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
387	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
388	C₃×Dic₃⋊C₄	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×C₄×Dic₃	C₂³	1	1	yes	characteristic
397	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
398	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
399	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
400	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
401	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
402	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
403	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
404	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
405	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
406	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
407	#3568	—	3	1	no	Sylow
408	C₃×C₄⋊Q₈	—	2	1	no	—
409	C₃×C₄⋊Q₈	—	3	1	no	—
410	C₃×C₄⋊Q₈	—	3	1	no	—
411	C₃×C₄⋊Q₈	—	3	1	no	—
412	C₃×C₄⋊Q₈	—	3	1	no	—
413	C₃×C₄⋊Q₈	—	3	1	no	—
414	C₃×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
415	C₃×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
416	C₃×#126	—	2	1	no	—
417	C₃×#126	—	2	1	no	—
418	C₃×#126	—	2	1	no	—
419	C₃×#126	—	2	1	no	—
420	C₃×#126	—	3	1	no	—
421	C₃×#126	—	3	1	no	—
422	C₃×#126	—	3	1	no	—
423	C₃×#126	—	3	1	no	—
424	C₃×#126	—	3	1	no	—
425	C₃×#126	—	3	1	no	—
426	C₃×#126	—	3	1	no	—
427	C₃×#126	—	3	1	no	—
428	C₃×#126	—	3	1	no	—
429	C₃×#126	—	3	1	no	—
430	C₃×#126	—	3	1	no	—
431	C₃×#126	—	3	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	C₂×D₃	1	1	yes	characteristic, complemented
445	C₃×#126	C₂×D₃	1	1	yes	characteristic, complemented
446	C₃×#126	C₂²×C₃	1	1	yes	characteristic, complemented
447	C₃×#126	C₂²×C₃	1	1	yes	characteristic, complemented
448	C₃×#126	C₂²×C₃	1	1	yes	characteristic, complemented
449	C₃×#126	C₂²×C₃	1	1	yes	characteristic, complemented
450	C₃×#125	—	3	1	no	—
451	C₃×#125	—	3	1	no	—
452	C₃×#125	—	3	1	no	—
453	C₃×#124	—	2	1	no	—
454	C₃×#124	—	2	1	no	—
455	C₃×#124	—	3	1	no	—
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×#124	—	3	1	no	—
467	C₃×#124	—	3	1	no	—
468	C₃×#124	—	3	1	no	—
469	C₃×#124	—	3	1	no	—
470	C₃×#124	—	3	1	no	—
471	C₃×#124	—	3	1	no	—
472	C₃×#124	—	3	1	no	—
473	C₃×#124	—	3	1	no	—
474	C₃×#124	C₂×D₃	1	1	yes	characteristic
475	C₃×#124	C₂×D₃	1	1	yes	characteristic
476	C₃×#124	C₂²×C₃	1	1	yes	characteristic
477	C₃×#124	C₂²×C₃	1	1	yes	characteristic
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×C₂²⋊Q₈	—	2	1	no	—
497	C₃×C₂²⋊Q₈	—	2	1	no	—
498	C₃×C₂²⋊Q₈	—	3	1	no	—
499	C₃×C₂²⋊Q₈	—	3	1	no	—
500	C₃×C₂²⋊Q₈	—	3	1	no	—
501	C₃×C₂²⋊Q₈	—	3	1	no	—
502	C₃×C₂²⋊Q₈	—	3	1	no	—
503	C₃×C₂²⋊Q₈	—	3	1	no	—
504	C₃×C₂²⋊Q₈	—	3	1	no	—
505	C₃×C₂²⋊Q₈	—	3	1	no	—
506	C₃×C₂²⋊Q₈	—	3	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	C₂×D₃	1	1	yes	characteristic, complemented
518	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
519	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
520	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
521	C₃×#121	—	3	1	no	—
522	C₃×#121	—	3	1	no	—
523	C₃×#121	—	3	1	no	—
524	C₃×#121	—	3	1	no	—
525	C₃×#121	—	3	1	no	—
526	C₃×#121	—	3	1	no	—
527	C₃×#121	—	3	1	no	—
528	C₃×#121	—	3	1	no	—
529	C₃×#121	—	3	1	no	—
530	C₃×#120	—	3	1	no	—
531	C₃×#120	—	3	1	no	—
532	C₃×#120	—	3	1	no	—
533	C₃×#120	—	3	1	no	—
534	C₃×#120	—	3	1	no	—
535	C₃×#120	—	3	1	no	—
536	C₃×#120	—	3	1	no	—
537	C₃×#120	—	3	1	no	—
538	C₃×C₄×Q₈	—	2	1	no	—
539	C₃×C₄×Q₈	—	2	1	no	—
540	C₃×C₄×Q₈	—	2	1	no	—
541	C₃×C₄×Q₈	—	3	1	no	—
542	C₃×C₄×Q₈	—	3	1	no	—
543	C₃×C₄×Q₈	—	3	1	no	—
544	C₃×C₄×Q₈	—	3	1	no	—
545	C₃×C₄×Q₈	—	3	1	no	—
546	C₃×C₄×Q₈	—	3	1	no	—
547	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
548	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
549	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
550	C₃×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
551	C₃×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
552	C₃×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
553	C₃×C₄×D₄	—	2	1	no	—
554	C₃×C₄×D₄	—	3	1	no	—
555	C₃×C₄×D₄	—	3	1	no	—
556	C₃×C₄×D₄	—	3	1	no	—
557	C₃×C₄×D₄	—	3	1	no	—
558	C₃×C₄×D₄	—	3	1	no	—
559	C₃×C₄×D₄	—	3	1	no	—
560	C₃×C₄×D₄	—	3	1	no	—
561	C₃×C₄×D₄	—	3	1	no	—
562	C₃×C₄×D₄	—	3	1	no	—
563	C₃×C₄×D₄	—	3	1	no	—
564	C₃×C₄×D₄	—	3	1	no	—
565	C₃×C₄×D₄	—	3	1	no	—
566	C₃×C₄×D₄	—	3	1	no	—
567	C₃×C₄×D₄	—	3	1	no	—
568	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
569	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
570	C₃×#117	—	2	1	no	—
571	C₃×#117	—	2	1	no	—
572	C₃×#117	—	3	1	no	—
573	C₃×#117	—	3	1	no	—
574	C₃×#117	—	3	1	no	—
575	C₃×#117	—	3	1	no	—
576	C₃×#117	—	3	1	no	—
577	C₃×#117	—	3	1	no	—
578	C₃×#117	—	3	1	no	—
579	C₃×#117	—	3	1	no	—
580	C₃×#117	—	3	1	no	—
581	C₃×#117	—	3	1	no	—
582	C₃×#117	C₂×D₃	1	1	yes	characteristic, complemented
583	C₃×#117	C₂×D₃	1	1	yes	characteristic, complemented
584	C₃×#117	C₂²×C₃	1	1	yes	characteristic, complemented
585	C₃×#117	C₂²×C₃	1	1	yes	characteristic, complemented
586	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
587	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
588	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
589	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
590	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
591	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
592	C₂×C₃×C₄²	—	3	1	no	—
593	#947	C₂²×C₃	1	1	yes	characteristic
594	#947	C₂²×C₃	1	1	yes	characteristic
595	#947	C₂²×C₃	1	1	yes	characteristic
596	#947	C₂²×C₃	1	1	yes	characteristic, complemented
597	#947	C₂²×C₃	1	1	yes	characteristic, complemented
598	#946	C₂²×C₃	1	1	yes	characteristic, complemented
599	#946	C₂²×C₃	1	1	yes	characteristic, complemented
600	#946	C₂²×C₃	1	1	yes	characteristic, complemented
601	#946	C₂²×C₃	1	1	yes	characteristic, complemented
602	#946	C₂²×C₃	1	1	yes	characteristic, complemented
603	#944	C₂²×C₃	1	1	yes	characteristic, complemented
604	#944	C₂²×C₃	1	1	yes	characteristic, complemented
605	#939	C₂²×C₃	1	1	yes	characteristic
606	#937	C₂²×C₃	1	1	yes	characteristic
607	#937	C₂²×C₃	1	1	yes	characteristic
608	#935	C₂²×C₃	1	1	yes	characteristic
609	#930	C₂²×C₃	1	1	yes	characteristic
610	#929	C₂²×C₃	1	1	yes	characteristic
611	#929	C₂²×C₃	1	1	yes	characteristic
612	C₄×#67	C₂²×C₃	1	1	yes	characteristic
613	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
614	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
615	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
616	#924	C₂²×C₃	1	1	yes	characteristic, complemented
617	#898	C₂²×C₃	1	1	yes	characteristic, complemented
618	#898	C₂²×C₃	1	1	yes	characteristic, complemented
619	#898	C₂²×C₃	1	1	yes	characteristic, complemented
620	#898	C₂²×C₃	1	1	yes	characteristic, complemented
621	#898	C₂²×C₃	1	1	yes	characteristic, complemented
622	#898	C₂²×C₃	1	1	yes	characteristic, complemented
623	#898	C₂²×C₃	1	1	yes	characteristic, complemented
624	#898	C₂²×C₃	1	1	yes	characteristic, complemented
625	#898	C₂²×C₃	1	1	yes	characteristic, complemented
626	#898	C₂²×C₃	1	1	yes	characteristic, complemented
627	#898	C₂²×C₃	1	1	yes	characteristic, complemented
628	#898	C₂²×C₃	1	1	yes	characteristic, complemented
629	#897	C₂²×C₃	1	1	yes	characteristic, complemented
630	#896	C₂²×C₃	1	1	yes	characteristic, complemented
631	#896	C₂²×C₃	1	1	yes	characteristic, complemented
632	#896	C₂²×C₃	1	1	yes	characteristic, complemented
633	#896	C₂²×C₃	1	1	yes	characteristic, complemented
634	#896	C₂²×C₃	1	1	yes	characteristic, complemented
635	#896	C₂²×C₃	1	1	yes	characteristic, complemented
636	#896	C₂²×C₃	1	1	yes	characteristic, complemented
637	#896	C₂²×C₃	1	1	yes	characteristic, complemented
638	#896	C₂²×C₃	1	1	yes	characteristic, complemented
639	#895	C₂²×C₃	1	1	yes	characteristic
640	#895	C₂²×C₃	1	1	yes	characteristic
641	#895	C₂²×C₃	1	1	yes	characteristic
642	#895	C₂²×C₃	1	1	yes	characteristic
643	#894	C₂²×C₃	1	1	yes	characteristic
644	#894	C₂²×C₃	1	1	yes	characteristic
645	#894	C₂²×C₃	1	1	yes	characteristic
646	#894	C₂²×C₃	1	1	yes	characteristic
647	#894	C₂²×C₃	1	1	yes	characteristic
648	#894	C₂²×C₃	1	1	yes	characteristic, complemented
649	#894	C₂²×C₃	1	1	yes	characteristic, complemented
650	#894	C₂²×C₃	1	1	yes	characteristic, complemented
651	#894	C₂²×C₃	1	1	yes	characteristic, complemented
652	#893	C₂²×C₃	1	1	yes	characteristic
653	#893	C₂²×C₃	1	1	yes	characteristic
654	#893	C₂²×C₃	1	1	yes	characteristic, complemented
655	#892	C₂²×C₃	1	1	yes	characteristic, complemented
656	#892	C₂²×C₃	1	1	yes	characteristic, complemented
657	#890	C₂²×C₃	1	1	yes	characteristic, complemented
658	#889	C₂²×C₃	1	1	yes	characteristic, complemented
659	#889	C₂²×C₃	1	1	yes	characteristic, complemented
660	#888	C₂²×C₃	1	1	yes	characteristic, complemented
661	#888	C₂²×C₃	1	1	yes	characteristic, complemented
662	#887	C₂²×C₃	1	1	yes	characteristic, complemented
663	#887	C₂²×C₃	1	1	yes	characteristic, complemented
664	#887	C₂²×C₃	1	1	yes	characteristic, complemented
665	#886	C₂²×C₃	1	1	yes	characteristic
666	#885	C₂²×C₃	1	1	yes	characteristic
667	#885	C₂²×C₃	1	1	yes	characteristic
668	#885	C₂²×C₃	1	1	yes	characteristic
669	#885	C₂²×C₃	1	1	yes	characteristic
670	#885	C₂²×C₃	1	1	yes	characteristic
671	#885	C₂²×C₃	1	1	yes	characteristic
672	#885	C₂²×C₃	1	1	yes	characteristic, complemented
673	#885	C₂²×C₃	1	1	yes	characteristic, complemented
674	#884	C₂²×C₃	1	1	yes	characteristic
675	#884	C₂²×C₃	1	1	yes	characteristic
676	#884	C₂²×C₃	1	1	yes	characteristic
677	#883	C₂²×C₃	1	1	yes	characteristic
678	#883	C₂²×C₃	1	1	yes	characteristic
679	#883	C₂²×C₃	1	1	yes	characteristic
680	#883	C₂²×C₃	1	1	yes	characteristic, complemented
681	#883	C₂²×C₃	1	1	yes	characteristic, complemented
682	#882	C₂²×C₃	1	1	yes	characteristic
683	#882	C₂²×C₃	1	1	yes	characteristic
684	#882	C₂²×C₃	1	1	yes	characteristic
685	#882	C₂²×C₃	1	1	yes	characteristic
686	#882	C₂²×C₃	1	1	yes	characteristic, complemented
687	#882	C₂²×C₃	1	1	yes	characteristic, complemented
688	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
689	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
690	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
691	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
692	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
693	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
694	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
695	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
696	#879	C₂²×C₃	1	1	yes	characteristic, complemented
697	#879	C₂²×C₃	1	1	yes	characteristic, complemented
698	#879	C₂²×C₃	1	1	yes	characteristic, complemented
699	#879	C₂²×C₃	1	1	yes	characteristic, complemented
700	#878	C₂²×C₃	1	1	yes	characteristic, complemented
701	#878	C₂²×C₃	1	1	yes	characteristic, complemented
702	#878	C₂²×C₃	1	1	yes	characteristic, complemented
703	#877	C₂²×C₃	1	1	yes	characteristic, complemented
704	#877	C₂²×C₃	1	1	yes	characteristic, complemented
705	#876	C₂²×C₃	1	1	yes	characteristic, complemented
706	#876	C₂²×C₃	1	1	yes	characteristic, complemented
707	#876	C₂²×C₃	1	1	yes	characteristic, complemented
708	#876	C₂²×C₃	1	1	yes	characteristic, complemented
709	#876	C₂²×C₃	1	1	yes	characteristic, complemented
710	#876	C₂²×C₃	1	1	yes	characteristic, complemented
711	#875	C₂²×C₃	1	1	yes	characteristic
712	#875	C₂²×C₃	1	1	yes	characteristic
713	#875	C₂²×C₃	1	1	yes	characteristic
714	#875	C₂²×C₃	1	1	yes	characteristic
715	#875	C₂²×C₃	1	1	yes	characteristic, complemented
716	#875	C₂²×C₃	1	1	yes	characteristic, complemented
717	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
718	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
719	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
720	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
721	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
722	#872	C₂²×C₃	1	1	yes	characteristic, complemented
723	#872	C₂²×C₃	1	1	yes	characteristic, complemented
724	#872	C₂²×C₃	1	1	yes	characteristic, complemented
725	#872	C₂²×C₃	1	1	yes	characteristic, complemented
726	#872	C₂²×C₃	1	1	yes	characteristic, complemented
727	#872	C₂²×C₃	1	1	yes	characteristic, complemented
728	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
729	#869	C₂²×C₃	1	1	yes	characteristic, complemented
730	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
731	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
732	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
733	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
734	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
735	C₂²×C₃×D₃	—	4	1	no	—
736	C₂²×C₃×D₃	—	4	1	no	—
737	C₂²×C₃×D₃	—	4	1	no	—
738	C₂²×C₃×D₃	—	4	1	no	—
739	C₂²×C₃×D₃	—	4	1	no	—
740	C₂²×C₃×D₃	—	4	1	no	—
741	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
742	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
743	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
744	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
745	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
746	C₃²×Q₈	—	4	1	no	—
747	C₃²×Q₈	—	4	1	no	—
748	C₃²×Q₈	—	4	1	no	—
749	C₃²×D₄	—	4	1	no	—
750	C₂×C₃²×C₄	—	4	1	no	—
751	C₂×C₃²×C₄	—	4	1	no	—
752	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
753	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
754	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
755	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
756	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
757	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
758	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
759	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
760	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
761	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
762	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
763	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
764	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
765	C₃×#67	—	4	1	no	—
766	C₃×#67	—	4	1	no	—
767	C₃×#67	—	4	1	no	—
768	C₃×#67	—	4	1	no	—
769	C₃×#67	—	4	1	no	—
770	C₃×#67	—	4	1	no	—
771	C₂×C₃×Dic₃	—	4	1	no	—
772	C₂×C₃×Dic₃	—	4	1	no	—
773	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
774	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
775	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
776	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
777	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
778	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
779	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
780	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
781	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
782	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
783	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
784	C₃×D₁₂	—	4	1	no	—
785	C₃×D₁₂	—	4	1	no	—
786	C₃×D₁₂	—	4	1	no	—
787	C₃×D₁₂	—	4	1	no	—
788	C₃×D₁₂	—	4	1	no	—
789	C₃×D₁₂	—	4	1	no	—
790	C₃×D₁₂	—	4	1	no	—
791	C₃×D₁₂	—	4	1	no	—
792	C₃×C₄×D₃	—	4	1	no	—
793	C₃×C₄×D₃	—	4	1	no	—
794	C₃×C₄×D₃	—	4	1	no	—
795	C₃×C₄×D₃	—	4	1	no	—
796	C₃×C₄×D₃	—	4	1	no	—
797	C₃×C₄×D₃	—	4	1	no	—
798	C₃×C₄×D₃	—	4	1	no	—
799	C₃×C₄×D₃	—	4	1	no	—
800	C₃×C₄×D₃	—	4	1	no	—
801	C₃×C₄×D₃	—	4	1	no	—
802	C₃×C₄×D₃	—	4	1	no	—
803	C₃×Dic₆	—	4	1	no	—
804	C₃×Dic₆	—	4	1	no	—
805	C₃×Dic₆	—	4	1	no	—
806	C₃×Dic₆	—	4	1	no	—
807	C₃×Dic₆	—	4	1	no	—
808	C₃×Dic₆	—	4	1	no	—
809	#563	—	3	1	no	—
810	#563	—	3	1	no	—
811	#563	—	3	1	no	—
812	H(3,𝔽₄)	—	3	1	no	—
813	#556	—	3	1	no	—
814	#556	—	3	1	no	—
815	#556	—	3	1	no	—
816	#556	—	3	1	no	—
817	#556	—	3	1	no	—
818	#556	C₃×D₃	1	1	yes	characteristic, complemented
819	#551	—	3	1	no	—
820	#551	—	3	1	no	—
821	#551	—	3	1	no	—
822	#551	—	3	1	no	—
823	#551	—	3	1	no	—
824	#551	—	3	1	no	—
825	#542	—	3	1	no	—
826	#542	—	3	1	no	—
827	#542	—	3	1	no	—
828	#542	—	3	1	no	—
829	#542	—	3	1	no	—
830	#542	—	3	1	no	—
831	#538	—	3	1	no	—
832	#538	—	3	1	no	—
833	#538	—	3	1	no	—
834	#538	—	3	1	no	—
835	#538	—	3	1	no	—
836	#538	—	3	1	no	—
837	#529	—	3	1	no	—
838	#529	—	3	1	no	—
839	#529	—	3	1	no	—
840	C₂⁴×C₃	—	3	1	no	—
841	C₂⁴×C₃	—	3	1	no	—
842	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
843	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
844	C₂×C₃×Q₈	—	2	1	no	—
845	C₂×C₃×Q₈	—	2	1	no	—
846	C₂×C₃×Q₈	—	2	1	no	—
847	C₂×C₃×Q₈	—	3	1	no	—
848	C₂×C₃×Q₈	—	3	1	no	—
849	C₂×C₃×Q₈	—	3	1	no	—
850	C₂×C₃×Q₈	—	3	1	no	—
851	C₂×C₃×Q₈	—	3	1	no	—
852	C₂×C₃×Q₈	—	3	1	no	—
853	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
854	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
855	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
856	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
857	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
858	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
859	C₂×C₃×D₄	—	2	1	no	—
860	C₂×C₃×D₄	—	3	1	no	—
861	C₂×C₃×D₄	—	3	1	no	—
862	C₂×C₃×D₄	—	3	1	no	—
863	C₂×C₃×D₄	—	3	1	no	—
864	C₂×C₃×D₄	—	3	1	no	—
865	C₂×C₃×D₄	—	3	1	no	—
866	C₂×C₃×D₄	—	3	1	no	—
867	C₂×C₃×D₄	—	3	1	no	—
868	C₂×C₃×D₄	—	3	1	no	—
869	C₂×C₃×D₄	—	3	1	no	—
870	C₂×C₃×D₄	—	3	1	no	—
871	C₂×C₃×D₄	—	3	1	no	—
872	C₂×C₃×D₄	—	3	1	no	—
873	C₂×C₃×D₄	—	3	1	no	—
874	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
875	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
876	C₂²×C₃×C₄	—	2	1	no	—
877	C₂²×C₃×C₄	—	2	1	no	—
878	C₂²×C₃×C₄	—	3	1	no	—
879	C₂²×C₃×C₄	—	3	1	no	—
880	C₂²×C₃×C₄	—	3	1	no	—
881	C₂²×C₃×C₄	—	3	1	no	—
882	C₂²×C₃×C₄	—	3	1	no	—
883	C₂²×C₃×C₄	—	3	1	no	—
884	C₂²×C₃×C₄	—	3	1	no	—
885	C₂²×C₃×C₄	—	3	1	no	—
886	C₂²×C₃×C₄	—	3	1	no	—
887	C₂²×C₃×C₄	—	3	1	no	—
888	C₂²×C₃×C₄	—	3	1	no	—
889	C₂²×C₃×C₄	—	3	1	no	—
890	C₂²×C₃×C₄	—	3	1	no	—
891	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
892	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
893	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
894	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
895	C₂×#67	C₂³×C₃	1	1	yes	characteristic
896	C₂×#67	C₂³×C₃	1	1	yes	characteristic
897	C₂×#67	C₂³×C₃	1	1	yes	characteristic
898	C₂×#67	C₂³×C₃	1	1	yes	characteristic
899	C₂×#67	C₂³×C₃	1	1	yes	characteristic
900	C₂×#67	C₂³×C₃	1	1	yes	characteristic
901	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
902	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
903	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
904	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
905	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
906	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
907	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
908	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
909	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
910	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
911	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
912	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
913	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
914	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
915	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
916	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
917	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
918	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
919	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
920	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
921	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
922	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
923	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
924	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
925	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
926	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
927	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
928	C₃×C₄⋊C₄	—	2	1	no	—
929	C₃×C₄⋊C₄	—	2	1	no	—
930	C₃×C₄⋊C₄	—	2	1	no	—
931	C₃×C₄⋊C₄	—	2	1	no	—
932	C₃×C₄⋊C₄	—	2	1	no	—
933	C₃×C₄⋊C₄	—	2	1	no	—
934	C₃×C₄⋊C₄	—	2	1	no	—
935	C₃×C₄⋊C₄	—	2	1	no	—
936	C₃×C₄⋊C₄	—	2	1	no	—
937	C₃×C₄⋊C₄	—	2	1	no	—
938	C₃×C₄⋊C₄	—	2	1	no	—
939	C₃×C₄⋊C₄	—	2	1	no	—
940	C₃×C₄⋊C₄	—	3	1	no	—
941	C₃×C₄⋊C₄	—	3	1	no	—
942	C₃×C₄⋊C₄	—	3	1	no	—
943	C₃×C₄⋊C₄	—	3	1	no	—
944	C₃×C₄⋊C₄	—	3	1	no	—
945	C₃×C₄⋊C₄	—	3	1	no	—
946	C₃×C₄⋊C₄	—	3	1	no	—
947	C₃×C₄⋊C₄	—	3	1	no	—
948	C₃×C₄⋊C₄	—	3	1	no	—
949	C₃×C₄⋊C₄	—	3	1	no	—
950	C₃×C₄⋊C₄	—	3	1	no	—
951	C₃×C₄⋊C₄	—	3	1	no	—
952	C₃×C₄⋊C₄	—	3	1	no	—
953	C₃×C₄⋊C₄	—	3	1	no	—
954	C₃×C₄⋊C₄	—	3	1	no	—
955	C₃×C₄⋊C₄	—	3	1	no	—
956	C₃×C₄⋊C₄	—	3	1	no	—
957	C₃×C₄⋊C₄	—	3	1	no	—
958	C₃×C₄⋊C₄	—	3	1	no	—
959	C₃×C₄⋊C₄	—	3	1	no	—
960	C₃×C₄⋊C₄	—	3	1	no	—
961	C₃×C₄⋊C₄	—	3	1	no	—
962	C₃×C₄⋊C₄	—	3	1	no	—
963	C₃×C₄⋊C₄	—	3	1	no	—
964	C₃×C₄⋊C₄	—	3	1	no	—
965	C₃×C₄⋊C₄	—	3	1	no	—
966	C₃×C₄⋊C₄	—	3	1	no	—
967	C₃×C₄⋊C₄	—	3	1	no	—
968	C₃×C₄⋊C₄	—	3	1	no	—
969	C₃×C₄⋊C₄	—	3	1	no	—
970	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
971	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
972	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
973	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
974	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
975	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
976	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
977	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
978	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
979	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
980	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
981	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
982	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
983	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
984	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
985	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
986	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
987	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
988	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
989	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
990	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
991	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
992	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
993	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
994	C₃×C₂²⋊C₄	—	2	1	no	—
995	C₃×C₂²⋊C₄	—	2	1	no	—
996	C₃×C₂²⋊C₄	—	2	1	no	—
997	C₃×C₂²⋊C₄	—	2	1	no	—
998	C₃×C₂²⋊C₄	—	2	1	no	—
999	C₃×C₂²⋊C₄	—	2	1	no	—
1000	C₃×C₂²⋊C₄	—	2	1	no	—
1001	C₃×C₂²⋊C₄	—	2	1	no	—
1002	C₃×C₂²⋊C₄	—	2	1	no	—
1003	C₃×C₂²⋊C₄	—	2	1	no	—
1004	C₃×C₂²⋊C₄	—	3	1	no	—
1005	C₃×C₂²⋊C₄	—	3	1	no	—
1006	C₃×C₂²⋊C₄	—	3	1	no	—
1007	C₃×C₂²⋊C₄	—	3	1	no	—
1008	C₃×C₂²⋊C₄	—	3	1	no	—
1009	C₃×C₂²⋊C₄	—	3	1	no	—
1010	C₃×C₂²⋊C₄	—	3	1	no	—
1011	C₃×C₂²⋊C₄	—	3	1	no	—
1012	C₃×C₂²⋊C₄	—	3	1	no	—
1013	C₃×C₂²⋊C₄	—	3	1	no	—
1014	C₃×C₂²⋊C₄	—	3	1	no	—
1015	C₃×C₂²⋊C₄	—	3	1	no	—
1016	C₃×C₂²⋊C₄	—	3	1	no	—
1017	C₃×C₂²⋊C₄	—	3	1	no	—
1018	C₃×C₂²⋊C₄	—	3	1	no	—
1019	C₃×C₂²⋊C₄	—	3	1	no	—
1020	C₃×C₂²⋊C₄	—	3	1	no	—
1021	C₃×C₂²⋊C₄	—	3	1	no	—
1022	C₃×C₂²⋊C₄	—	3	1	no	—
1023	C₃×C₂²⋊C₄	—	3	1	no	—
1024	C₃×C₂²⋊C₄	—	3	1	no	—
1025	C₃×C₂²⋊C₄	—	3	1	no	—
1026	C₃×C₂²⋊C₄	—	3	1	no	—
1027	C₃×C₂²⋊C₄	—	3	1	no	—
1028	C₃×C₂²⋊C₄	—	3	1	no	—
1029	C₃×C₂²⋊C₄	—	3	1	no	—
1030	C₃×C₂²⋊C₄	—	3	1	no	—
1031	C₃×C₂²⋊C₄	—	3	1	no	—
1032	C₃×C₂²⋊C₄	—	3	1	no	—
1033	C₃×C₂²⋊C₄	—	3	1	no	—
1034	C₃×C₂²⋊C₄	—	3	1	no	—
1035	C₃×C₂²⋊C₄	—	3	1	no	—
1036	C₃×C₂²⋊C₄	—	3	1	no	—
1037	C₃×C₂²⋊C₄	—	3	1	no	—
1038	C₃×C₂²⋊C₄	—	3	1	no	—
1039	C₃×C₂²⋊C₄	—	3	1	no	—
1040	C₃×C₂²⋊C₄	—	3	1	no	—
1041	C₃×C₂²⋊C₄	—	3	1	no	—
1042	C₃×C₂²⋊C₄	—	3	1	no	—
1043	C₃×C₂²⋊C₄	—	3	1	no	—
1044	C₃×C₂²⋊C₄	—	3	1	no	—
1045	C₃×C₂²⋊C₄	—	3	1	no	—
1046	C₃×C₂²⋊C₄	—	3	1	no	—
1047	C₃×C₂²⋊C₄	—	3	1	no	—
1048	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1049	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1050	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1051	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1052	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1053	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1054	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1055	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1056	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1057	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1058	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1059	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1060	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1061	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1062	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1063	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1064	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1065	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1066	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1067	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1068	C₃×C₄²	—	2	1	no	—
1069	C₃×C₄²	—	2	1	no	—
1070	C₃×C₄²	—	2	1	no	—
1071	C₃×C₄²	—	2	1	no	—
1072	C₃×C₄²	—	2	1	no	—
1073	C₃×C₄²	—	2	1	no	—
1074	C₃×C₄²	—	2	1	no	—
1075	C₃×C₄²	—	3	1	no	—
1076	C₃×C₄²	—	3	1	no	—
1077	C₃×C₄²	—	3	1	no	—
1078	C₃×C₄²	—	3	1	no	—
1079	C₃×C₄²	—	3	1	no	—
1080	C₃×C₄²	—	3	1	no	—
1081	C₃×C₄²	—	3	1	no	—
1082	C₃×C₄²	—	3	1	no	—
1083	C₃×C₄²	—	3	1	no	—
1084	C₃×C₄²	—	3	1	no	—
1085	C₃×C₄²	—	3	1	no	—
1086	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1087	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1088	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1089	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1090	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1091	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1092	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1093	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1094	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1095	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1096	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1097	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1098	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1099	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1100	#217	C₂³×C₃	1	1	yes	characteristic
1101	#217	C₂³×C₃	1	1	yes	characteristic
1102	#217	C₂³×C₃	1	1	yes	characteristic
1103	#217	C₂³×C₃	1	1	yes	characteristic
1104	#217	C₂³×C₃	1	1	yes	characteristic
1105	#217	C₂³×C₃	1	1	yes	characteristic
1106	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1107	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1108	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1109	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1110	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1111	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1112	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1113	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1114	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1115	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1116	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1117	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1118	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1119	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1120	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1121	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1122	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1123	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1124	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1125	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1126	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1127	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1128	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1129	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1130	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1131	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1132	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1133	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1134	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1135	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1136	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1137	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1138	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1139	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1140	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1141	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1142	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1143	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1144	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1145	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1146	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1147	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1148	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1149	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1150	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1151	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1152	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1153	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1154	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1155	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1156	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1157	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1158	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1159	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1160	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1161	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1162	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1163	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1164	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1165	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1166	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1167	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1168	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1169	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1170	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1171	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1172	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1173	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1174	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1175	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1176	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1177	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1178	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1179	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1180	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1181	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1182	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1183	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1184	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1185	C₂²×C₃²	—	2	1	no	—
1186	C₂²×C₃²	—	2	1	no	—
1187	C₂²×C₃²	—	2	1	no	—
1188	C₂²×C₃²	—	2	1	no	—
1189	C₂²×C₃²	—	2	1	no	—
1190	C₂²×C₃²	—	2	1	no	—
1191	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
1192	C₂×C₃×D₃	—	2	1	no	—
1193	C₂×C₃×D₃	—	2	1	no	—
1194	C₂×C₃×D₃	—	2	1	no	—
1195	C₂×C₃×D₃	—	2	1	no	—
1196	C₂×C₃×D₃	—	2	1	no	—
1197	C₂×C₃×D₃	—	2	1	no	—
1198	C₂×C₃×D₃	—	2	1	no	—
1199	C₂×C₃×D₃	—	2	1	no	—
1200	C₂×C₃×D₃	—	2	1	no	—
1201	C₂×C₃×D₃	—	2	1	no	—
1202	C₂×C₃×D₃	—	2	1	no	—
1203	C₂×C₃×D₃	—	2	1	no	—
1204	C₂×C₃×D₃	—	2	1	no	—
1205	C₂×C₃×D₃	—	2	1	no	—
1206	C₂×C₃×D₃	—	2	1	no	—
1207	C₂×C₃×D₃	—	8	2	no	—
1208	C₂×C₃×D₃	—	8	2	no	—
1209	C₃²×C₄	—	2	1	no	—
1210	C₃²×C₄	—	2	1	no	—
1211	C₃²×C₄	—	2	1	no	—
1212	C₃²×C₄	—	2	1	no	—
1213	C₃²×C₄	—	2	1	no	—
1214	C₃²×C₄	—	2	1	no	—
1215	C₃²×C₄	—	2	1	no	—
1216	C₃²×C₄	—	2	1	no	—
1217	C₃²×C₄	—	2	1	no	—
1218	C₃²×C₄	—	2	1	no	—
1219	C₃²×C₄	—	2	1	no	—
1220	C₃²×C₄	—	2	1	no	—
1221	C₃²×C₄	—	2	1	no	—
1222	C₃×Dic₃	—	2	1	no	—
1223	C₃×Dic₃	—	2	1	no	—
1224	C₃×Dic₃	—	2	1	no	—
1225	C₃×Dic₃	—	2	1	no	—
1226	C₃×Dic₃	—	2	1	no	—
1227	C₃×Dic₃	—	2	1	no	—
1228	C₃×Dic₃	—	2	1	no	—
1229	C₃×Dic₃	—	2	1	no	—
1230	C₃×Dic₃	—	2	1	no	—
1231	C₃×Dic₃	—	2	1	no	—
1232	C₃×Dic₃	—	2	1	no	—
1233	C₄⋊Q₈	—	3	1	no	—
1234	C₄⋊Q₈	—	3	1	no	—
1235	C₄⋊Q₈	—	3	1	no	—
1236	C₄⋊Q₈	—	3	1	no	—
1237	C₄⋊Q₈	—	3	1	no	—
1238	C₄⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1239	#126	—	3	1	no	—
1240	#126	—	3	1	no	—
1241	#126	—	3	1	no	—
1242	#126	—	3	1	no	—
1243	#126	—	3	1	no	—
1244	#126	—	3	1	no	—
1245	#126	—	3	1	no	—
1246	#126	—	3	1	no	—
1247	#126	—	3	1	no	—
1248	#126	—	3	1	no	—
1249	#126	—	3	1	no	—
1250	#126	—	3	1	no	—
1251	#126	—	3	1	no	—
1252	#126	—	3	1	no	—
1253	#126	—	3	1	no	—
1254	#126	—	3	1	no	—
1255	#126	—	3	1	no	—
1256	#126	—	3	1	no	—
1257	#126	—	3	1	no	—
1258	#126	—	3	1	no	—
1259	#126	—	3	1	no	—
1260	#126	—	3	1	no	—
1261	#126	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1262	#126	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1263	#126	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1264	#126	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1265	#125	—	3	1	no	—
1266	#125	—	3	1	no	—
1267	#125	—	3	1	no	—
1268	#124	—	3	1	no	—
1269	#124	—	3	1	no	—
1270	#124	—	3	1	no	—
1271	#124	—	3	1	no	—
1272	#124	—	3	1	no	—
1273	#124	—	3	1	no	—
1274	#124	—	3	1	no	—
1275	#124	—	3	1	no	—
1276	#124	—	3	1	no	—
1277	#124	—	3	1	no	—
1278	#124	—	3	1	no	—
1279	#124	—	3	1	no	—
1280	#124	—	3	1	no	—
1281	#124	—	3	1	no	—
1282	#124	—	3	1	no	—
1283	#124	—	3	1	no	—
1284	#124	—	3	1	no	—
1285	#124	—	3	1	no	—
1286	#124	—	3	1	no	—
1287	#124	C₂×C₃×D₃	1	1	yes	characteristic
1288	#124	C₂×C₃×D₃	1	1	yes	characteristic
1289	#123	—	3	1	no	—
1290	#123	—	3	1	no	—
1291	#123	—	3	1	no	—
1292	#123	—	3	1	no	—
1293	#123	—	3	1	no	—
1294	#123	—	3	1	no	—
1295	#123	—	3	1	no	—
1296	#123	—	3	1	no	—
1297	#123	—	3	1	no	—
1298	#123	—	3	1	no	—
1299	#123	—	3	1	no	—
1300	#123	—	3	1	no	—
1301	#123	—	3	1	no	—
1302	#123	—	3	1	no	—
1303	#123	—	3	1	no	—
1304	#123	—	3	1	no	—
1305	#123	—	3	1	no	—
1306	#123	—	3	1	no	—
1307	C₂²⋊Q₈	—	3	1	no	—
1308	C₂²⋊Q₈	—	3	1	no	—
1309	C₂²⋊Q₈	—	3	1	no	—
1310	C₂²⋊Q₈	—	3	1	no	—
1311	C₂²⋊Q₈	—	3	1	no	—
1312	C₂²⋊Q₈	—	3	1	no	—
1313	C₂²⋊Q₈	—	3	1	no	—
1314	C₂²⋊Q₈	—	3	1	no	—
1315	C₂²⋊Q₈	—	3	1	no	—
1316	C₂²⋊Q₈	—	3	1	no	—
1317	C₂²⋊Q₈	—	3	1	no	—
1318	C₂²⋊Q₈	—	3	1	no	—
1319	C₂²⋊Q₈	—	3	1	no	—
1320	C₂²⋊Q₈	—	3	1	no	—
1321	C₂²⋊Q₈	—	3	1	no	—
1322	C₂²⋊Q₈	—	3	1	no	—
1323	C₂²⋊Q₈	—	3	1	no	—
1324	C₂²⋊Q₈	—	3	1	no	—
1325	C₂²⋊Q₈	—	3	1	no	—
1326	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1327	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1328	#121	—	3	1	no	—
1329	#121	—	3	1	no	—
1330	#121	—	3	1	no	—
1331	#121	—	3	1	no	—
1332	#121	—	3	1	no	—
1333	#121	—	3	1	no	—
1334	#121	—	3	1	no	—
1335	#121	—	3	1	no	—
1336	#121	—	3	1	no	—
1337	#120	—	3	1	no	—
1338	#120	—	3	1	no	—
1339	#120	—	3	1	no	—
1340	#120	—	3	1	no	—
1341	#120	—	3	1	no	—
1342	#120	—	3	1	no	—
1343	#120	—	3	1	no	—
1344	#120	—	3	1	no	—
1345	C₄×Q₈	—	3	1	no	—
1346	C₄×Q₈	—	3	1	no	—
1347	C₄×Q₈	—	3	1	no	—
1348	C₄×Q₈	—	3	1	no	—
1349	C₄×Q₈	—	3	1	no	—
1350	C₄×Q₈	—	3	1	no	—
1351	C₄×Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1352	C₄×Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1353	C₄×Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1354	C₄×D₄	—	3	1	no	—
1355	C₄×D₄	—	3	1	no	—
1356	C₄×D₄	—	3	1	no	—
1357	C₄×D₄	—	3	1	no	—
1358	C₄×D₄	—	3	1	no	—
1359	C₄×D₄	—	3	1	no	—
1360	C₄×D₄	—	3	1	no	—
1361	C₄×D₄	—	3	1	no	—
1362	C₄×D₄	—	3	1	no	—
1363	C₄×D₄	—	3	1	no	—
1364	C₄×D₄	—	3	1	no	—
1365	C₄×D₄	—	3	1	no	—
1366	C₄×D₄	—	3	1	no	—
1367	C₄×D₄	—	3	1	no	—
1368	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
1369	#117	—	3	1	no	—
1370	#117	—	3	1	no	—
1371	#117	—	3	1	no	—
1372	#117	—	3	1	no	—
1373	#117	—	3	1	no	—
1374	#117	—	3	1	no	—
1375	#117	—	3	1	no	—
1376	#117	—	3	1	no	—
1377	#117	—	3	1	no	—
1378	#117	—	3	1	no	—
1379	#117	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1380	#117	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1381	C₂×C₂²⋊C₄	—	3	1	no	—
1382	C₂×C₂²⋊C₄	—	3	1	no	—
1383	C₂×C₂²⋊C₄	—	3	1	no	—
1384	C₂×C₂²⋊C₄	—	3	1	no	—
1385	C₂×C₂²⋊C₄	—	3	1	no	—
1386	C₂×C₂²⋊C₄	—	3	1	no	—
1387	C₂×C₄²	—	3	1	no	—
1388	C₂³×C₃	—	2	1	no	—
1389	C₂³×C₃	—	2	1	no	—
1390	C₂³×C₃	—	3	1	no	—
1391	C₂³×C₃	—	3	1	no	—
1392	C₂³×C₃	—	3	1	no	—
1393	C₂³×C₃	—	3	1	no	—
1394	C₂³×C₃	—	3	1	no	—
1395	C₂³×C₃	—	12	1	no	—
1396	C₂³×C₃	—	12	1	no	—
1397	C₂³×C₃	—	12	1	no	—
1398	C₂³×C₃	—	12	1	no	—
1399	C₂³×C₃	—	12	1	no	—
1400	C₂³×C₃	—	12	1	no	—
1401	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1402	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1403	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1404	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1405	C₂²×D₃	—	4	1	no	—
1406	C₂²×D₃	—	4	1	no	—
1407	C₂²×D₃	—	4	1	no	—
1408	C₂²×D₃	—	4	1	no	—
1409	C₂²×D₃	—	4	1	no	—
1410	C₂²×D₃	—	4	1	no	—
1411	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1412	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1413	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1414	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1415	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1416	C₃×Q₈	—	4	1	no	—
1417	C₃×Q₈	—	4	1	no	—
1418	C₃×Q₈	—	4	1	no	—
1419	C₃×Q₈	—	4	1	no	—
1420	C₃×Q₈	—	4	1	no	—
1421	C₃×Q₈	—	4	1	no	—
1422	C₃×Q₈	—	4	2	no	—
1423	C₃×Q₈	—	4	2	no	—
1424	C₃×Q₈	—	4	2	no	—
1425	C₃×Q₈	—	12	1	no	—
1426	C₃×Q₈	—	12	1	no	—
1427	C₃×Q₈	—	12	1	no	—
1428	C₃×Q₈	—	12	1	no	—
1429	C₃×Q₈	—	12	1	no	—
1430	C₃×Q₈	—	12	1	no	—
1431	C₃×D₄	—	4	1	no	—
1432	C₃×D₄	—	4	1	no	—
1433	C₃×D₄	—	4	2	no	—
1434	C₃×D₄	—	12	1	no	—
1435	C₃×D₄	—	12	1	no	—
1436	C₃×D₄	—	12	1	no	—
1437	C₃×D₄	—	12	1	no	—
1438	C₃×D₄	—	12	1	no	—
1439	C₃×D₄	—	12	1	no	—
1440	C₃×D₄	—	12	1	no	—
1441	C₃×D₄	—	12	1	no	—
1442	C₃×D₄	—	12	1	no	—
1443	C₃×D₄	—	12	1	no	—
1444	C₃×D₄	—	12	1	no	—
1445	C₃×D₄	—	12	1	no	—
1446	C₃×D₄	—	12	1	no	—
1447	C₃×D₄	—	12	1	no	—
1448	C₂×C₃×C₄	—	2	1	no	—
1449	C₂×C₃×C₄	—	2	1	no	—
1450	C₂×C₃×C₄	—	2	1	no	—
1451	C₂×C₃×C₄	—	2	1	no	—
1452	C₂×C₃×C₄	—	2	1	no	—
1453	C₂×C₃×C₄	—	2	1	no	—
1454	C₂×C₃×C₄	—	2	1	no	—
1455	C₂×C₃×C₄	—	2	1	no	—
1456	C₂×C₃×C₄	—	2	1	no	—
1457	C₂×C₃×C₄	—	2	1	no	—
1458	C₂×C₃×C₄	—	2	1	no	—
1459	C₂×C₃×C₄	—	2	1	no	—
1460	C₂×C₃×C₄	—	2	1	no	—
1461	C₂×C₃×C₄	—	3	1	no	—
1462	C₂×C₃×C₄	—	3	1	no	—
1463	C₂×C₃×C₄	—	3	1	no	—
1464	C₂×C₃×C₄	—	3	1	no	—
1465	C₂×C₃×C₄	—	3	1	no	—
1466	C₂×C₃×C₄	—	3	1	no	—
1467	C₂×C₃×C₄	—	3	1	no	—
1468	C₂×C₃×C₄	—	3	1	no	—
1469	C₂×C₃×C₄	—	3	1	no	—
1470	C₂×C₃×C₄	—	3	1	no	—
1471	C₂×C₃×C₄	—	3	1	no	—
1472	C₂×C₃×C₄	—	4	1	no	—
1473	C₂×C₃×C₄	—	4	1	no	—
1474	C₂×C₃×C₄	—	4	1	no	—
1475	C₂×C₃×C₄	—	4	1	no	—
1476	C₂×C₃×C₄	—	4	2	no	—
1477	C₂×C₃×C₄	—	4	2	no	—
1478	C₂×C₃×C₄	—	12	1	no	—
1479	C₂×C₃×C₄	—	12	1	no	—
1480	C₂×C₃×C₄	—	12	1	no	—
1481	C₂×C₃×C₄	—	12	1	no	—
1482	C₂×C₃×C₄	—	12	1	no	—
1483	C₂×C₃×C₄	—	12	1	no	—
1484	C₂×C₃×C₄	—	12	1	no	—
1485	C₂×C₃×C₄	—	12	1	no	—
1486	C₂×C₃×C₄	—	12	1	no	—
1487	C₂×C₃×C₄	—	12	1	no	—
1488	C₂×C₃×C₄	—	12	1	no	—
1489	C₂×C₃×C₄	—	12	1	no	—
1490	C₂×C₃×C₄	—	12	1	no	—
1491	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1492	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1493	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1494	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1495	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1496	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1497	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1498	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1499	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1500	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1501	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1502	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1503	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1504	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1505	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1506	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1507	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1508	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1509	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1510	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1511	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1512	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1513	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1514	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1515	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1516	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1517	#67	—	4	1	no	—
1518	#67	—	4	1	no	—
1519	#67	—	4	1	no	—
1520	#67	—	4	1	no	—
1521	#67	—	4	1	no	—
1522	#67	—	4	1	no	—
1523	C₂×Dic₃	—	4	1	no	—
1524	C₂×Dic₃	—	4	1	no	—
1525	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1526	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1527	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1528	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1529	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1530	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1531	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1532	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1533	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1534	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1535	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1536	D₁₂	—	4	1	no	—
1537	D₁₂	—	4	1	no	—
1538	D₁₂	—	4	1	no	—
1539	D₁₂	—	4	1	no	—
1540	D₁₂	—	4	1	no	—
1541	D₁₂	—	4	1	no	—
1542	D₁₂	—	4	1	no	—
1543	D₁₂	—	4	1	no	—
1544	C₄×D₃	—	4	1	no	—
1545	C₄×D₃	—	4	1	no	—
1546	C₄×D₃	—	4	1	no	—
1547	C₄×D₃	—	4	1	no	—
1548	C₄×D₃	—	4	1	no	—
1549	C₄×D₃	—	4	1	no	—
1550	C₄×D₃	—	4	1	no	—
1551	C₄×D₃	—	4	1	no	—
1552	C₄×D₃	—	4	1	no	—
1553	C₄×D₃	—	4	1	no	—
1554	C₄×D₃	—	4	1	no	—
1555	Dic₆	—	4	1	no	—
1556	Dic₆	—	4	1	no	—
1557	Dic₆	—	4	1	no	—
1558	Dic₆	—	4	1	no	—
1559	Dic₆	—	4	1	no	—
1560	Dic₆	—	4	1	no	—
1561	C₂×C₃²	—	4	1	no	—
1562	C₂×C₃²	—	4	1	no	—
1563	C₂×C₃²	#585	1	1	yes	characteristic
1564	C₂×C₃²	#585	1	1	yes	characteristic
1565	C₂×C₃²	#585	1	1	yes	characteristic
1566	C₃×D₃	—	4	1	no	—
1567	C₃×D₃	—	4	1	no	—
1568	C₃×D₃	—	4	1	no	—
1569	C₃×D₃	—	4	1	no	—
1570	C₃×D₃	—	4	1	no	—
1571	C₂⁴	—	3	1	no	—
1572	C₂⁴	—	3	1	no	—
1573	C₂×Q₈	—	3	1	no	—
1574	C₂×Q₈	—	3	1	no	—
1575	C₂×Q₈	—	3	1	no	—
1576	C₂×Q₈	—	3	1	no	—
1577	C₂×Q₈	—	3	1	no	—
1578	C₂×Q₈	—	3	1	no	—
1579	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1580	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1581	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1582	C₂×D₄	—	3	1	no	—
1583	C₂×D₄	—	3	1	no	—
1584	C₂×D₄	—	3	1	no	—
1585	C₂×D₄	—	3	1	no	—
1586	C₂×D₄	—	3	1	no	—
1587	C₂×D₄	—	3	1	no	—
1588	C₂×D₄	—	3	1	no	—
1589	C₂×D₄	—	3	1	no	—
1590	C₂×D₄	—	3	1	no	—
1591	C₂×D₄	—	3	1	no	—
1592	C₂×D₄	—	3	1	no	—
1593	C₂×D₄	—	3	1	no	—
1594	C₂×D₄	—	3	1	no	—
1595	C₂×D₄	—	3	1	no	—
1596	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1597	C₂²×C₄	—	3	1	no	—
1598	C₂²×C₄	—	3	1	no	—
1599	C₂²×C₄	—	3	1	no	—
1600	C₂²×C₄	—	3	1	no	—
1601	C₂²×C₄	—	3	1	no	—
1602	C₂²×C₄	—	3	1	no	—
1603	C₂²×C₄	—	3	1	no	—
1604	C₂²×C₄	—	3	1	no	—
1605	C₂²×C₄	—	3	1	no	—
1606	C₂²×C₄	—	3	1	no	—
1607	C₂²×C₄	—	3	1	no	—
1608	C₂²×C₄	—	3	1	no	—
1609	C₂²×C₄	—	3	1	no	—
1610	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1611	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1612	C₄⋊C₄	—	3	1	no	—
1613	C₄⋊C₄	—	3	1	no	—
1614	C₄⋊C₄	—	3	1	no	—
1615	C₄⋊C₄	—	3	1	no	—
1616	C₄⋊C₄	—	3	1	no	—
1617	C₄⋊C₄	—	3	1	no	—
1618	C₄⋊C₄	—	3	1	no	—
1619	C₄⋊C₄	—	3	1	no	—
1620	C₄⋊C₄	—	3	1	no	—
1621	C₄⋊C₄	—	3	1	no	—
1622	C₄⋊C₄	—	3	1	no	—
1623	C₄⋊C₄	—	3	1	no	—
1624	C₄⋊C₄	—	3	1	no	—
1625	C₄⋊C₄	—	3	1	no	—
1626	C₄⋊C₄	—	3	1	no	—
1627	C₄⋊C₄	—	3	1	no	—
1628	C₄⋊C₄	—	3	1	no	—
1629	C₄⋊C₄	—	3	1	no	—
1630	C₄⋊C₄	—	3	1	no	—
1631	C₄⋊C₄	—	3	1	no	—
1632	C₄⋊C₄	—	3	1	no	—
1633	C₄⋊C₄	—	3	1	no	—
1634	C₄⋊C₄	—	3	1	no	—
1635	C₄⋊C₄	—	3	1	no	—
1636	C₄⋊C₄	—	3	1	no	—
1637	C₄⋊C₄	—	3	1	no	—
1638	C₄⋊C₄	—	3	1	no	—
1639	C₄⋊C₄	—	3	1	no	—
1640	C₄⋊C₄	—	3	1	no	—
1641	C₄⋊C₄	—	3	1	no	—
1642	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1643	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1644	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1645	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1646	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1647	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1648	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1649	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1650	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1651	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1652	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1653	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1654	C₂²⋊C₄	—	3	1	no	—
1655	C₂²⋊C₄	—	3	1	no	—
1656	C₂²⋊C₄	—	3	1	no	—
1657	C₂²⋊C₄	—	3	1	no	—
1658	C₂²⋊C₄	—	3	1	no	—
1659	C₂²⋊C₄	—	3	1	no	—
1660	C₂²⋊C₄	—	3	1	no	—
1661	C₂²⋊C₄	—	3	1	no	—
1662	C₂²⋊C₄	—	3	1	no	—
1663	C₂²⋊C₄	—	3	1	no	—
1664	C₂²⋊C₄	—	3	1	no	—
1665	C₂²⋊C₄	—	3	1	no	—
1666	C₂²⋊C₄	—	3	1	no	—
1667	C₂²⋊C₄	—	3	1	no	—
1668	C₂²⋊C₄	—	3	1	no	—
1669	C₂²⋊C₄	—	3	1	no	—
1670	C₂²⋊C₄	—	3	1	no	—
1671	C₂²⋊C₄	—	3	1	no	—
1672	C₂²⋊C₄	—	3	1	no	—
1673	C₂²⋊C₄	—	3	1	no	—
1674	C₂²⋊C₄	—	3	1	no	—
1675	C₂²⋊C₄	—	3	1	no	—
1676	C₂²⋊C₄	—	3	1	no	—
1677	C₂²⋊C₄	—	3	1	no	—
1678	C₂²⋊C₄	—	3	1	no	—
1679	C₂²⋊C₄	—	3	1	no	—
1680	C₂²⋊C₄	—	3	1	no	—
1681	C₂²⋊C₄	—	3	1	no	—
1682	C₂²⋊C₄	—	3	1	no	—
1683	C₂²⋊C₄	—	3	1	no	—
1684	C₂²⋊C₄	—	3	1	no	—
1685	C₂²⋊C₄	—	3	1	no	—
1686	C₂²⋊C₄	—	3	1	no	—
1687	C₂²⋊C₄	—	3	1	no	—
1688	C₂²⋊C₄	—	3	1	no	—
1689	C₂²⋊C₄	—	3	1	no	—
1690	C₂²⋊C₄	—	3	1	no	—
1691	C₂²⋊C₄	—	3	1	no	—
1692	C₂²⋊C₄	—	3	1	no	—
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	C₂²×C₃×D₃	1	1	yes	characteristic
1699	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1700	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1701	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1702	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1703	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1704	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1705	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1706	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1707	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1708	C₄²	—	3	1	no	—
1709	C₄²	—	3	1	no	—
1710	C₄²	—	3	1	no	—
1711	C₄²	—	3	1	no	—
1712	C₄²	—	3	1	no	—
1713	C₄²	—	3	1	no	—
1714	C₄²	—	3	1	no	—
1715	C₄²	—	3	1	no	—
1716	C₄²	—	3	1	no	—
1717	C₄²	—	3	1	no	—
1718	C₄²	—	3	1	no	—
1719	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1720	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1721	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1722	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1723	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1724	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1725	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1726	C₂²×C₃	—	2	1	no	—
1727	C₂²×C₃	—	2	1	no	—
1728	C₂²×C₃	—	2	1	no	—
1729	C₂²×C₃	—	2	1	no	—
1730	C₂²×C₃	—	2	1	no	—
1731	C₂²×C₃	—	2	1	no	—
1732	C₂²×C₃	—	2	1	no	—
1733	C₂²×C₃	—	2	1	no	—
1734	C₂²×C₃	—	2	1	no	—
1735	C₂²×C₃	—	2	1	no	—
1736	C₂²×C₃	—	2	1	no	—
1737	C₂²×C₃	—	2	1	no	—
1738	C₂²×C₃	—	2	1	no	—
1739	C₂²×C₃	—	4	1	no	—
1740	C₂²×C₃	—	4	1	no	—
1741	C₂²×C₃	—	4	1	no	—
1742	C₂²×C₃	—	4	1	no	—
1743	C₂²×C₃	—	4	1	no	—
1744	C₂²×C₃	—	4	1	no	—
1745	C₂²×C₃	—	6	1	no	—
1746	C₂²×C₃	—	6	1	no	—
1747	C₂²×C₃	—	6	1	no	—
1748	C₂²×C₃	—	6	1	no	—
1749	C₂²×C₃	—	6	1	no	—
1750	C₂²×C₃	—	6	1	no	—
1751	C₂²×C₃	—	6	1	no	—
1752	C₂²×C₃	—	6	1	no	—
1753	C₂²×C₃	—	6	1	no	—
1754	C₂²×C₃	—	6	1	no	—
1755	C₂²×C₃	—	6	1	no	—
1756	C₂²×C₃	—	6	1	no	—
1757	C₂²×C₃	—	6	1	no	—
1758	C₂²×C₃	—	6	1	no	—
1759	C₂²×C₃	—	6	1	no	—
1760	C₂²×C₃	—	24	2	no	—
1761	C₂²×C₃	—	24	2	no	—
1762	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1763	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1764	C₂×D₃	—	2	1	no	—
1765	C₂×D₃	—	2	1	no	—
1766	C₂×D₃	—	2	1	no	—
1767	C₂×D₃	—	2	1	no	—
1768	C₂×D₃	—	2	1	no	—
1769	C₂×D₃	—	2	1	no	—
1770	C₂×D₃	—	2	1	no	—
1771	C₂×D₃	—	2	1	no	—
1772	C₂×D₃	—	2	1	no	—
1773	C₂×D₃	—	2	1	no	—
1774	C₂×D₃	—	2	1	no	—
1775	C₂×D₃	—	2	1	no	—
1776	C₂×D₃	—	2	1	no	—
1777	C₂×D₃	—	2	1	no	—
1778	C₂×D₃	—	2	1	no	—
1779	C₂×D₃	—	8	2	no	—
1780	C₂×D₃	—	8	2	no	—
1781	C₃×C₄	—	2	2	no	—
1782	C₃×C₄	—	2	2	no	—
1783	C₃×C₄	—	2	1	no	—
1784	C₃×C₄	—	2	1	no	—
1785	C₃×C₄	—	2	1	no	—
1786	C₃×C₄	—	2	1	no	—
1787	C₃×C₄	—	2	1	no	—
1788	C₃×C₄	—	2	1	no	—
1789	C₃×C₄	—	2	1	no	—
1790	C₃×C₄	—	2	1	no	—
1791	C₃×C₄	—	2	1	no	—
1792	C₃×C₄	—	2	1	no	—
1793	C₃×C₄	—	2	1	no	—
1794	C₃×C₄	—	2	1	no	—
1795	C₃×C₄	—	2	1	no	—
1796	C₃×C₄	—	2	1	no	—
1797	C₃×C₄	—	2	1	no	—
1798	C₃×C₄	—	2	1	no	—
1799	C₃×C₄	—	2	1	no	—
1800	C₃×C₄	—	2	1	no	—
1801	C₃×C₄	—	2	1	no	—
1802	C₃×C₄	—	2	1	no	—
1803	C₃×C₄	—	2	1	no	—
1804	C₃×C₄	—	2	1	no	—
1805	C₃×C₄	—	2	1	no	—
1806	C₃×C₄	—	2	1	no	—
1807	C₃×C₄	—	2	1	no	—
1808	C₃×C₄	—	2	1	no	—
1809	C₃×C₄	—	4	1	no	—
1810	C₃×C₄	—	4	1	no	—
1811	C₃×C₄	—	4	1	no	—
1812	C₃×C₄	—	4	1	no	—
1813	C₃×C₄	—	4	1	no	—
1814	C₃×C₄	—	4	1	no	—
1815	C₃×C₄	—	4	1	no	—
1816	C₃×C₄	—	4	1	no	—
1817	C₃×C₄	—	4	1	no	—
1818	C₃×C₄	—	4	1	no	—
1819	C₃×C₄	—	4	1	no	—
1820	C₃×C₄	—	6	1	no	—
1821	C₃×C₄	—	6	1	no	—
1822	C₃×C₄	—	6	1	no	—
1823	C₃×C₄	—	6	1	no	—
1824	C₃×C₄	—	6	1	no	—
1825	C₃×C₄	—	6	1	no	—
1826	C₃×C₄	—	6	1	no	—
1827	C₃×C₄	—	6	1	no	—
1828	C₃×C₄	—	6	1	no	—
1829	C₃×C₄	—	6	1	no	—
1830	C₃×C₄	—	6	1	no	—
1831	Dic₃	—	2	1	no	—
1832	Dic₃	—	2	1	no	—
1833	Dic₃	—	2	1	no	—
1834	Dic₃	—	2	1	no	—
1835	Dic₃	—	2	1	no	—
1836	Dic₃	—	2	1	no	—
1837	Dic₃	—	2	1	no	—
1838	Dic₃	—	2	1	no	—
1839	Dic₃	—	2	1	no	—
1840	Dic₃	—	2	1	no	—
1841	Dic₃	—	2	1	no	—
1842	C₃²	#3568	1	1	yes	characteristic, complemented, Sylow
1843	C₂³	—	3	1	no	—
1844	C₂³	—	3	1	no	—
1845	C₂³	—	3	1	no	—
1846	C₂³	—	3	1	no	—
1847	C₂³	—	3	1	no	—
1848	C₂³	—	12	1	no	—
1849	C₂³	—	12	1	no	—
1850	C₂³	—	12	1	no	—
1851	C₂³	—	12	1	no	—
1852	C₂³	—	12	1	no	—
1853	C₂³	—	12	1	no	—
1854	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1855	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1856	Q₈	—	4	1	no	—
1857	Q₈	—	4	1	no	—
1858	Q₈	—	4	1	no	—
1859	Q₈	—	12	1	no	—
1860	Q₈	—	12	1	no	—
1861	Q₈	—	12	1	no	—
1862	Q₈	—	12	1	no	—
1863	Q₈	—	12	1	no	—
1864	Q₈	—	12	1	no	—
1865	D₄	—	4	1	no	—
1866	D₄	—	12	1	no	—
1867	D₄	—	12	1	no	—
1868	D₄	—	12	1	no	—
1869	D₄	—	12	1	no	—
1870	D₄	—	12	1	no	—
1871	D₄	—	12	1	no	—
1872	D₄	—	12	1	no	—
1873	D₄	—	12	1	no	—
1874	D₄	—	12	1	no	—
1875	D₄	—	12	1	no	—
1876	D₄	—	12	1	no	—
1877	D₄	—	12	1	no	—
1878	D₄	—	12	1	no	—
1879	D₄	—	12	1	no	—
1880	C₂×C₄	—	3	1	no	—
1881	C₂×C₄	—	3	1	no	—
1882	C₂×C₄	—	3	1	no	—
1883	C₂×C₄	—	3	1	no	—
1884	C₂×C₄	—	3	1	no	—
1885	C₂×C₄	—	3	1	no	—
1886	C₂×C₄	—	3	1	no	—
1887	C₂×C₄	—	3	1	no	—
1888	C₂×C₄	—	3	1	no	—
1889	C₂×C₄	—	3	1	no	—
1890	C₂×C₄	—	3	1	no	—
1891	C₂×C₄	—	4	1	no	—
1892	C₂×C₄	—	4	1	no	—
1893	C₂×C₄	—	12	1	no	—
1894	C₂×C₄	—	12	1	no	—
1895	C₂×C₄	—	12	1	no	—
1896	C₂×C₄	—	12	1	no	—
1897	C₂×C₄	—	12	1	no	—
1898	C₂×C₄	—	12	1	no	—
1899	C₂×C₄	—	12	1	no	—
1900	C₂×C₄	—	12	1	no	—
1901	C₂×C₄	—	12	1	no	—
1902	C₂×C₄	—	12	1	no	—
1903	C₂×C₄	—	12	1	no	—
1904	C₂×C₄	—	12	1	no	—
1905	C₂×C₄	—	12	1	no	—
1906	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1907	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1908	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1909	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1910	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1911	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1912	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1913	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1914	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1915	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1916	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1917	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1918	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1919	C₂×C₃	—	2	1	no	—
1920	C₂×C₃	—	2	1	no	—
1921	C₂×C₃	—	2	1	no	—
1922	C₂×C₃	—	4	1	no	—
1923	C₂×C₃	—	4	1	no	—
1924	C₂×C₃	—	4	1	no	—
1925	C₂×C₃	—	4	1	no	—
1926	C₂×C₃	—	8	1	no	—
1927	C₂×C₃	—	8	1	no	—
1928	C₂×C₃	—	12	1	no	—
1929	C₂×C₃	—	12	1	no	—
1930	C₂×C₃	—	12	1	no	—
1931	C₂×C₃	—	12	1	no	—
1932	C₂×C₃	—	12	1	no	—
1933	C₂×C₃	#5964	1	1	yes	characteristic
1934	C₂×C₃	#5964	1	1	yes	characteristic
1935	C₂×C₃	#5968	1	1	yes	characteristic
1936	C₂×C₃	C₃×#585	1	1	yes	characteristic
1937	C₂×C₃	C₃×#585	1	1	yes	characteristic
1938	C₂×C₃	C₃×#585	1	1	yes	characteristic
1939	D₃	—	4	1	no	—
1940	D₃	—	4	1	no	—
1941	D₃	—	4	1	no	—
1942	D₃	—	4	1	no	—
1943	D₃	—	4	1	no	—
1944	C₂²	—	2	1	no	—
1945	C₂²	—	2	1	no	—
1946	C₂²	—	2	1	no	—
1947	C₂²	—	2	1	no	—
1948	C₂²	—	2	1	no	—
1949	C₂²	—	2	1	no	—
1950	C₂²	—	6	1	no	—
1951	C₂²	—	6	1	no	—
1952	C₂²	—	6	1	no	—
1953	C₂²	—	6	1	no	—
1954	C₂²	—	6	1	no	—
1955	C₂²	—	6	1	no	—
1956	C₂²	—	6	1	no	—
1957	C₂²	—	6	1	no	—
1958	C₂²	—	6	1	no	—
1959	C₂²	—	6	1	no	—
1960	C₂²	—	6	1	no	—
1961	C₂²	—	6	1	no	—
1962	C₂²	—	6	1	no	—
1963	C₂²	—	6	1	no	—
1964	C₂²	—	6	1	no	—
1965	C₂²	—	24	2	no	—
1966	C₂²	—	24	2	no	—
1967	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1968	C₄	—	2	1	no	—
1969	C₄	—	2	1	no	—
1970	C₄	—	2	1	no	—
1971	C₄	—	2	1	no	—
1972	C₄	—	2	1	no	—
1973	C₄	—	2	1	no	—
1974	C₄	—	2	1	no	—
1975	C₄	—	2	1	no	—
1976	C₄	—	2	1	no	—
1977	C₄	—	2	1	no	—
1978	C₄	—	2	1	no	—
1979	C₄	—	2	1	no	—
1980	C₄	—	2	1	no	—
1981	C₄	—	6	1	no	—
1982	C₄	—	6	1	no	—
1983	C₄	—	6	1	no	—
1984	C₄	—	6	1	no	—
1985	C₄	—	6	1	no	—
1986	C₄	—	6	1	no	—
1987	C₄	—	6	1	no	—
1988	C₄	—	6	1	no	—
1989	C₄	—	6	1	no	—
1990	C₄	—	6	1	no	—
1991	C₄	—	6	1	no	—
1992	C₃	—	2	1	no	—
1993	C₃	#87002	1	1	yes	characteristic, direct product factor
1994	C₃	C₃×#3568	1	1	yes	characteristic, complemented
1995	C₂	—	4	1	no	—
1996	C₂	—	4	1	no	—
1997	C₂	—	12	1	no	—
1998	C₂	—	12	1	no	—
1999	C₂	—	12	1	no	—
2000	C₂	—	12	1	no	—
2001	C₂	—	12	1	no	—
2002	C₂	C₃×#5964	1	1	yes	characteristic
2003	C₂	C₃×#5964	1	1	yes	characteristic
2004	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×#556	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#556	D₃
hypocenter	C₃	C₃×#3568
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#556

Complements

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

N	H ≅ G/N	type
1. C₃²×#556	C₂	semidirect
2. C₃×#5735	C₂	semidirect
3. C₃×#5733	C₂	semidirect
4. C₃×#5712	C₂	semidirect
5. C₃×#5706	C₂	semidirect
6. C₃×#5705	C₂	semidirect
7. C₃×#5704	C₂	semidirect
8. C₃×#5704	C₂	semidirect
9. C₃×#5704	C₂	semidirect
10. C₃×#5702	C₂	semidirect
11. C₃×#5702	C₂	semidirect
12. C₃×#5683	C₂	semidirect
13. C₃×#5679	C₂	semidirect
14. C₃×#5678	C₂	semidirect
15. C₃×#5669	C₂	semidirect
16. C₃×#5646	C₂	semidirect
17. C₃×#5644	C₂	semidirect
18. C₃×#5640	C₂	semidirect
19. C₃×#5637	C₂	semidirect
20. C₃×#5584	C₂	semidirect
21. C₃×#5582	C₂	semidirect
22. C₃×#5582	C₂	semidirect
23. C₃×#5580	C₂	semidirect
24. C₃×#5568	C₂	semidirect
25. C₃×#5568	C₂	semidirect
26. C₃×#5560	C₂	semidirect
27. C₃×#5556	C₂	semidirect
28. C₃×#5534	C₂	semidirect
29. C₃×#5528	C₂	semidirect
30. C₃×#5527	C₂	semidirect
31. C₃×#5527	C₂	semidirect
33. #87002	C₃	direct (N × H)
34. C₃²×C₄⋊Q₈	C₂²	semidirect
35. C₃²×#126	C₂²	semidirect
36. C₃²×#126	C₂²	semidirect
37. C₃²×#126	C₂²	semidirect
38. C₃²×#126	C₂²	semidirect
41. C₃²×C₂²⋊Q₈	C₂²	semidirect
42. C₃²×C₂²⋊Q₈	C₂²	semidirect
43. C₃²×C₄×Q₈	C₂²	semidirect
44. C₃²×C₄×Q₈	C₂²	semidirect
45. C₃²×C₄×Q₈	C₂²	semidirect
47. C₃²×#117	C₂²	semidirect
48. C₃²×#117	C₂²	semidirect
52. C₃×#947	C₂²	semidirect
53. C₃×#947	C₂²	semidirect
54. C₃×#946	C₂²	semidirect
55. C₃×#946	C₂²	semidirect
56. C₃×#946	C₂²	semidirect
57. C₃×#946	C₂²	semidirect
58. C₃×#946	C₂²	semidirect
59. C₃×#944	C₂²	semidirect
60. C₃×#944	C₂²	semidirect
69. C₃×C₄×#67	C₂²	semidirect
70. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
71. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
72. C₃×#924	C₂²	semidirect
73. C₃×#898	C₂²	semidirect
74. C₃×#898	C₂²	semidirect
75. C₃×#898	C₂²	semidirect
76. C₃×#898	C₂²	semidirect
77. C₃×#898	C₂²	semidirect
78. C₃×#898	C₂²	semidirect
79. C₃×#898	C₂²	semidirect
80. C₃×#898	C₂²	semidirect
81. C₃×#898	C₂²	semidirect
82. C₃×#898	C₂²	semidirect
83. C₃×#898	C₂²	semidirect
84. C₃×#898	C₂²	semidirect
85. C₃×#897	C₂²	semidirect
86. C₃×#896	C₂²	semidirect
87. C₃×#896	C₂²	semidirect
88. C₃×#896	C₂²	semidirect
89. C₃×#896	C₂²	semidirect
90. C₃×#896	C₂²	semidirect
91. C₃×#896	C₂²	semidirect
92. C₃×#896	C₂²	semidirect
93. C₃×#896	C₂²	semidirect
94. C₃×#896	C₂²	semidirect
104. C₃×#894	C₂²	semidirect
105. C₃×#894	C₂²	semidirect
106. C₃×#894	C₂²	semidirect
107. C₃×#894	C₂²	semidirect
110. C₃×#893	C₂²	semidirect
111. C₃×#892	C₂²	semidirect
112. C₃×#892	C₂²	semidirect
113. C₃×#890	C₂²	semidirect
114. C₃×#889	C₂²	semidirect
115. C₃×#889	C₂²	semidirect
116. C₃×#888	C₂²	semidirect
117. C₃×#888	C₂²	semidirect
118. C₃×#887	C₂²	semidirect
119. C₃×#887	C₂²	semidirect
120. C₃×#887	C₂²	semidirect
128. C₃×#885	C₂²	semidirect
129. C₃×#885	C₂²	semidirect
136. C₃×#883	C₂²	semidirect
137. C₃×#883	C₂²	semidirect
142. C₃×#882	C₂²	semidirect
143. C₃×#882	C₂²	semidirect
147. C₃×#67⋊C₄	C₂²	semidirect
148. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
149. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
150. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
151. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
152. C₃×#879	C₂²	semidirect
153. C₃×#879	C₂²	semidirect
154. C₃×#879	C₂²	semidirect
155. C₃×#879	C₂²	semidirect
156. C₃×#878	C₂²	semidirect
157. C₃×#878	C₂²	semidirect
158. C₃×#878	C₂²	semidirect
159. C₃×#877	C₂²	semidirect
160. C₃×#877	C₂²	semidirect
161. C₃×#876	C₂²	semidirect
162. C₃×#876	C₂²	semidirect
163. C₃×#876	C₂²	semidirect
164. C₃×#876	C₂²	semidirect
165. C₃×#876	C₂²	semidirect
166. C₃×#876	C₂²	semidirect
171. C₃×#875	C₂²	semidirect
172. C₃×#875	C₂²	semidirect
175. C₃×C₄×D₁₂	C₂²	semidirect
176. C₃×C₄×D₁₂	C₂²	semidirect
177. C₃×C₄×D₁₂	C₂²	semidirect
178. C₃×#872	C₂²	semidirect
179. C₃×#872	C₂²	semidirect
180. C₃×#872	C₂²	semidirect
181. C₃×#872	C₂²	semidirect
182. C₃×#872	C₂²	semidirect
183. C₃×#872	C₂²	semidirect
184. C₃×C₄²×D₃	C₂²	semidirect
185. C₃×#869	C₂²	semidirect
186. C₃×C₄×Dic₆	C₂²	semidirect
187. C₃×C₄×Dic₆	C₂²	semidirect
188. C₃×C₄×Dic₆	C₂²	semidirect
199. C₃×#556	D₃	semidirect
200. C₃×#556	C₂×C₃	semidirect
222. #5735	C₂×C₃	semidirect
223. #5733	C₂×C₃	semidirect
224. #5712	C₂×C₃	semidirect
225. #5706	C₂×C₃	semidirect
226. #5705	C₂×C₃	semidirect
227. #5704	C₂×C₃	semidirect
228. #5704	C₂×C₃	semidirect
229. #5704	C₂×C₃	semidirect
230. #5702	C₂×C₃	semidirect
231. #5702	C₂×C₃	semidirect
232. #5683	C₂×C₃	semidirect
233. #5679	C₂×C₃	semidirect
234. #5678	C₂×C₃	semidirect
235. #5669	C₂×C₃	semidirect
236. #5646	C₂×C₃	semidirect
237. #5644	C₂×C₃	semidirect
238. #5640	C₂×C₃	semidirect
239. #5637	C₂×C₃	semidirect
240. #5584	C₂×C₃	semidirect
241. #5582	C₂×C₃	semidirect
242. #5582	C₂×C₃	semidirect
243. #5580	C₂×C₃	semidirect
244. #5568	C₂×C₃	semidirect
245. #5568	C₂×C₃	semidirect
246. #5560	C₂×C₃	semidirect
247. #5556	C₂×C₃	semidirect
248. #5534	C₂×C₃	semidirect
249. #5528	C₂×C₃	semidirect
250. #5527	C₂×C₃	semidirect
251. #5527	C₂×C₃	semidirect
414. C₃×C₄⋊Q₈	C₂×D₃	semidirect
415. C₃×C₄⋊Q₈	C₂²×C₃	semidirect
442. C₃×#126	C₂×D₃	semidirect
443. C₃×#126	C₂×D₃	semidirect
444. C₃×#126	C₂×D₃	semidirect
445. C₃×#126	C₂×D₃	semidirect
446. C₃×#126	C₂²×C₃	semidirect
447. C₃×#126	C₂²×C₃	semidirect
448. C₃×#126	C₂²×C₃	semidirect
449. C₃×#126	C₂²×C₃	semidirect
517. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
518. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
519. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
520. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
547. C₃×C₄×Q₈	C₂×D₃	semidirect
548. C₃×C₄×Q₈	C₂×D₃	semidirect
549. C₃×C₄×Q₈	C₂×D₃	semidirect
550. C₃×C₄×Q₈	C₂²×C₃	semidirect
551. C₃×C₄×Q₈	C₂²×C₃	semidirect
552. C₃×C₄×Q₈	C₂²×C₃	semidirect
582. C₃×#117	C₂×D₃	semidirect
583. C₃×#117	C₂×D₃	semidirect
584. C₃×#117	C₂²×C₃	semidirect
585. C₃×#117	C₂²×C₃	semidirect
596. #947	C₂²×C₃	semidirect
597. #947	C₂²×C₃	semidirect
598. #946	C₂²×C₃	semidirect
599. #946	C₂²×C₃	semidirect
600. #946	C₂²×C₃	semidirect
601. #946	C₂²×C₃	semidirect
602. #946	C₂²×C₃	semidirect
603. #944	C₂²×C₃	semidirect
604. #944	C₂²×C₃	semidirect
613. C₄×#67	C₂²×C₃	semidirect
614. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
615. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
616. #924	C₂²×C₃	semidirect
617. #898	C₂²×C₃	semidirect
618. #898	C₂²×C₃	semidirect
619. #898	C₂²×C₃	semidirect
620. #898	C₂²×C₃	semidirect
621. #898	C₂²×C₃	semidirect
622. #898	C₂²×C₃	semidirect
623. #898	C₂²×C₃	semidirect
624. #898	C₂²×C₃	semidirect
625. #898	C₂²×C₃	semidirect
626. #898	C₂²×C₃	semidirect
627. #898	C₂²×C₃	semidirect
628. #898	C₂²×C₃	semidirect
629. #897	C₂²×C₃	semidirect
630. #896	C₂²×C₃	semidirect
631. #896	C₂²×C₃	semidirect
632. #896	C₂²×C₃	semidirect
633. #896	C₂²×C₃	semidirect
634. #896	C₂²×C₃	semidirect
635. #896	C₂²×C₃	semidirect
636. #896	C₂²×C₃	semidirect
637. #896	C₂²×C₃	semidirect
638. #896	C₂²×C₃	semidirect
648. #894	C₂²×C₃	semidirect
649. #894	C₂²×C₃	semidirect
650. #894	C₂²×C₃	semidirect
651. #894	C₂²×C₃	semidirect
654. #893	C₂²×C₃	semidirect
655. #892	C₂²×C₃	semidirect
656. #892	C₂²×C₃	semidirect
657. #890	C₂²×C₃	semidirect
658. #889	C₂²×C₃	semidirect
659. #889	C₂²×C₃	semidirect
660. #888	C₂²×C₃	semidirect
661. #888	C₂²×C₃	semidirect
662. #887	C₂²×C₃	semidirect
663. #887	C₂²×C₃	semidirect
664. #887	C₂²×C₃	semidirect
672. #885	C₂²×C₃	semidirect
673. #885	C₂²×C₃	semidirect
680. #883	C₂²×C₃	semidirect
681. #883	C₂²×C₃	semidirect
686. #882	C₂²×C₃	semidirect
687. #882	C₂²×C₃	semidirect
691. #67⋊C₄	C₂²×C₃	semidirect
692. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
693. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
694. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
695. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
696. #879	C₂²×C₃	semidirect
697. #879	C₂²×C₃	semidirect
698. #879	C₂²×C₃	semidirect
699. #879	C₂²×C₃	semidirect
700. #878	C₂²×C₃	semidirect
701. #878	C₂²×C₃	semidirect
702. #878	C₂²×C₃	semidirect
703. #877	C₂²×C₃	semidirect
704. #877	C₂²×C₃	semidirect
705. #876	C₂²×C₃	semidirect
706. #876	C₂²×C₃	semidirect
707. #876	C₂²×C₃	semidirect
708. #876	C₂²×C₃	semidirect
709. #876	C₂²×C₃	semidirect
710. #876	C₂²×C₃	semidirect
715. #875	C₂²×C₃	semidirect
716. #875	C₂²×C₃	semidirect
719. C₄×D₁₂	C₂²×C₃	semidirect
720. C₄×D₁₂	C₂²×C₃	semidirect
721. C₄×D₁₂	C₂²×C₃	semidirect
722. #872	C₂²×C₃	semidirect
723. #872	C₂²×C₃	semidirect
724. #872	C₂²×C₃	semidirect
725. #872	C₂²×C₃	semidirect
726. #872	C₂²×C₃	semidirect
727. #872	C₂²×C₃	semidirect
728. C₄²×D₃	C₂²×C₃	semidirect
729. #869	C₂²×C₃	semidirect
730. C₄×Dic₆	C₂²×C₃	semidirect
731. C₄×Dic₆	C₂²×C₃	semidirect
732. C₄×Dic₆	C₂²×C₃	semidirect
818. #556	C₃×D₃	semidirect
1238. C₄⋊Q₈	C₂×C₃×D₃	semidirect
1261. #126	C₂×C₃×D₃	semidirect
1262. #126	C₂×C₃×D₃	semidirect
1263. #126	C₂×C₃×D₃	semidirect
1264. #126	C₂×C₃×D₃	semidirect
1326. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
1327. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
1351. C₄×Q₈	C₂×C₃×D₃	semidirect
1352. C₄×Q₈	C₂×C₃×D₃	semidirect
1353. C₄×Q₈	C₂×C₃×D₃	semidirect
1379. #117	C₂×C₃×D₃	semidirect
1380. #117	C₂×C₃×D₃	semidirect
1842. C₃²	#3568	semidirect
1993. C₃	#87002	direct (N × H)
1994. C₃	C₃×#3568	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#556	2
C₃×#5735	2
C₃×#5733	2
C₃×#5712	2
C₃×#5706	2
C₃×#5705	2
C₃×#5704	2
C₃×#5702	2
C₃×#5683	2
C₃×#5679	2
C₃×#5678	2
C₃×#5669	2
C₃×#5646	2
C₃×#5644	2
C₃×#5640	2
C₃×#5637	2
C₃×#5584	2
C₃×#5582	2
C₃×#5580	2
C₃×#5568	2
C₃×#5560	2
C₃×#5556	2
C₃×#5534	2
C₃×#5528	2
C₃×#5527	2
C₃×#3568	3
#87002	3

Subgroups — C3×#87002 #11918328

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#87002 #11918328