Subgroups — C₃×#86864 #11910630

Order 1152.

2227 conjugacy classes of subgroups.

The subgroup lattice has 2130 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#552	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5711	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5710	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5709	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×#5699	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5697	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5695	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5692	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5692	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5656	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5655	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5654	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5653	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5647	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#5644	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#5644	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5637	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5585	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#5582	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5560	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#5554	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#5535	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#5531	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#5527	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#5527	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#5525	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#5524	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#5507	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₃×#894	C₂	1	1	yes	maximal, characteristic, complemented
32	C₃×#3533	—	3	1	no	maximal
33	#86864	C₃	1	1	yes	maximal, characteristic, direct product factor
34	C₂×C₃×#237	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×#125	C₂²	1	1	yes	characteristic, complemented
45	C₃²×#123	C₂²	1	1	yes	characteristic
46	C₃²×#123	C₂²	1	1	yes	characteristic
47	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
48	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
49	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
51	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
52	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
53	C₃²×#117	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×#947	C₂²	1	1	yes	characteristic, complemented
57	C₃×#947	C₂²	1	1	yes	characteristic, complemented
58	C₃×#946	C₂²	1	1	yes	characteristic, complemented
59	C₃×#939	C₂²	1	1	yes	characteristic
60	C₃×#937	C₂²	1	1	yes	characteristic
61	C₃×#930	C₂²	1	1	yes	characteristic
62	C₃×#930	C₂²	1	1	yes	characteristic, complemented
63	C₃×#930	C₂²	1	1	yes	characteristic, complemented
64	C₃×#929	C₂²	1	1	yes	characteristic
65	C₃×#929	C₂²	1	1	yes	characteristic, complemented
66	C₃×#929	C₂²	1	1	yes	characteristic, complemented
67	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
69	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
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	C₂×C₃×Dic₃⋊C₄	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×#897	C₂²	1	1	yes	characteristic, complemented
81	C₃×#897	C₂²	1	1	yes	characteristic, complemented
82	C₃×#897	C₂²	1	1	yes	characteristic, complemented
83	C₃×#896	C₂²	1	1	yes	characteristic, complemented
84	C₃×#896	C₂²	1	1	yes	characteristic, complemented
85	C₃×#896	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×#895	C₂²	1	1	yes	characteristic
92	C₃×#895	C₂²	1	1	yes	characteristic
93	C₃×#895	C₂²	1	1	yes	characteristic
94	C₃×#895	C₂²	1	1	yes	characteristic
95	C₃×#895	C₂²	1	1	yes	characteristic, complemented
96	C₃×#895	C₂²	1	1	yes	characteristic, complemented
97	C₃×#895	C₂²	1	1	yes	characteristic, complemented
98	C₃×#895	C₂²	1	1	yes	characteristic, complemented
99	C₃×#895	C₂²	1	1	yes	characteristic, complemented
100	C₃×#895	C₂²	1	1	yes	characteristic, complemented
101	C₃×#895	C₂²	1	1	yes	characteristic, complemented
102	C₃×#895	C₂²	1	1	yes	characteristic, complemented
103	C₃×#895	C₂²	1	1	yes	characteristic, complemented
104	C₃×#894	C₂²	1	1	yes	characteristic
105	C₃×#894	C₂²	1	1	yes	characteristic
106	C₃×#894	C₂²	1	1	yes	characteristic
107	C₃×#894	C₂²	1	1	yes	characteristic
108	C₃×#894	C₂²	1	1	yes	characteristic
109	C₃×#894	C₂²	1	1	yes	characteristic
110	C₃×#894	C₂²	1	1	yes	characteristic, complemented
111	C₃×#894	C₂²	1	1	yes	characteristic, complemented
112	C₃×#894	C₂²	1	1	yes	characteristic, complemented
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×#894	C₂²	1	1	yes	characteristic, complemented
123	C₃×#894	C₂²	1	1	yes	characteristic, complemented
124	C₃×#894	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×#893	C₂²	1	1	yes	characteristic, complemented
128	C₃×#893	C₂²	1	1	yes	characteristic, complemented
129	C₃×#893	C₂²	1	1	yes	characteristic, complemented
130	C₃×#892	C₂²	1	1	yes	characteristic, complemented
131	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
132	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
133	C₃×#889	C₂²	1	1	yes	characteristic, complemented
134	C₃×#889	C₂²	1	1	yes	characteristic, complemented
135	C₃×#888	C₂²	1	1	yes	characteristic, complemented
136	C₃×#888	C₂²	1	1	yes	characteristic, complemented
137	C₃×#886	C₂²	1	1	yes	characteristic
138	C₃×#886	C₂²	1	1	yes	characteristic, complemented
139	C₃×#886	C₂²	1	1	yes	characteristic, complemented
140	C₃×#885	C₂²	1	1	yes	characteristic, complemented
141	C₃×#885	C₂²	1	1	yes	characteristic, complemented
142	C₃×#884	C₂²	1	1	yes	characteristic
143	C₃×#884	C₂²	1	1	yes	characteristic
144	C₃×#884	C₂²	1	1	yes	characteristic, complemented
145	C₃×#884	C₂²	1	1	yes	characteristic, complemented
146	C₃×#884	C₂²	1	1	yes	characteristic, complemented
147	C₃×#884	C₂²	1	1	yes	characteristic, complemented
148	C₃×#884	C₂²	1	1	yes	characteristic, complemented
149	C₃×#883	C₂²	1	1	yes	characteristic, complemented
150	C₃×#882	C₂²	1	1	yes	characteristic
151	C₃×#882	C₂²	1	1	yes	characteristic
152	C₃×#882	C₂²	1	1	yes	characteristic
153	C₃×#882	C₂²	1	1	yes	characteristic
154	C₃×#882	C₂²	1	1	yes	characteristic
155	C₃×#882	C₂²	1	1	yes	characteristic, complemented
156	C₃×#882	C₂²	1	1	yes	characteristic, complemented
157	C₃×#882	C₂²	1	1	yes	characteristic, complemented
158	C₃×#882	C₂²	1	1	yes	characteristic, complemented
159	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
160	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
161	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
162	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
164	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
165	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
166	C₃×#878	C₂²	1	1	yes	characteristic, complemented
167	C₃×#878	C₂²	1	1	yes	characteristic, complemented
168	C₃×#877	C₂²	1	1	yes	characteristic, complemented
169	C₃×#876	C₂²	1	1	yes	characteristic, complemented
170	C₃×#876	C₂²	1	1	yes	characteristic, complemented
171	C₃×#876	C₂²	1	1	yes	characteristic, complemented
172	C₃×#875	C₂²	1	1	yes	characteristic
173	C₃×#875	C₂²	1	1	yes	characteristic, complemented
174	C₃×#875	C₂²	1	1	yes	characteristic, complemented
175	C₃×#875	C₂²	1	1	yes	characteristic, complemented
176	C₃×#875	C₂²	1	1	yes	characteristic, complemented
177	C₃×#874	C₂²	1	1	yes	characteristic
178	C₃×#874	C₂²	1	1	yes	characteristic, complemented
179	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
180	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
181	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
182	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
183	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
184	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
185	C₃×#872	C₂²	1	1	yes	characteristic, complemented
186	C₃×#872	C₂²	1	1	yes	characteristic, complemented
187	C₃×#870	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	—	2	1	no	—
197	C₃×#552	—	3	1	no	—
198	C₃×#552	D₃	1	1	yes	characteristic, complemented
199	C₃×#552	C₂×C₃	1	1	yes	characteristic, complemented
200	C₃×#551	—	3	1	no	—
201	C₃×#551	—	3	1	no	—
202	C₃×#551	—	3	1	no	—
203	C₃×#547	—	3	1	no	—
204	C₃×#547	—	3	1	no	—
205	C₃×#546	—	3	1	no	—
206	C₃×#546	—	3	1	no	—
207	C₃×#542	—	3	1	no	—
208	C₃×#542	—	3	1	no	—
209	C₃×#540	—	3	1	no	—
210	C₃×#540	—	3	1	no	—
211	C₃×#539	—	3	1	no	—
212	C₃×#539	—	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×#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	#5711	C₂×C₃	1	1	yes	characteristic, complemented
223	#5710	C₂×C₃	1	1	yes	characteristic, complemented
224	#5709	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	#5699	C₂×C₃	1	1	yes	characteristic, complemented
228	#5697	C₂×C₃	1	1	yes	characteristic, complemented
229	#5695	C₂×C₃	1	1	yes	characteristic, complemented
230	#5692	C₂×C₃	1	1	yes	characteristic, complemented
231	#5692	C₂×C₃	1	1	yes	characteristic, complemented
232	#5656	C₂×C₃	1	1	yes	characteristic, complemented
233	#5655	C₂×C₃	1	1	yes	characteristic, complemented
234	#5654	C₂×C₃	1	1	yes	characteristic, complemented
235	#5653	C₂×C₃	1	1	yes	characteristic, complemented
236	#5647	C₂×C₃	1	1	yes	characteristic, complemented
237	#5644	C₂×C₃	1	1	yes	characteristic, complemented
238	#5644	C₂×C₃	1	1	yes	characteristic, complemented
239	#5637	C₂×C₃	1	1	yes	characteristic, complemented
240	#5585	C₂×C₃	1	1	yes	characteristic, complemented
241	#5582	C₂×C₃	1	1	yes	characteristic, complemented
242	#5560	C₂×C₃	1	1	yes	characteristic, complemented
243	#5554	C₂×C₃	1	1	yes	characteristic, complemented
244	#5535	C₂×C₃	1	1	yes	characteristic, complemented
245	#5531	C₂×C₃	1	1	yes	characteristic, complemented
246	#5527	C₂×C₃	1	1	yes	characteristic, complemented
247	#5527	C₂×C₃	1	1	yes	characteristic, complemented
248	#5525	C₂×C₃	1	1	yes	characteristic, complemented
249	#5524	C₂×C₃	1	1	yes	characteristic, complemented
250	#5507	C₂×C₃	1	1	yes	characteristic, complemented
251	C₂×#894	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	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
258	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
259	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
260	C₂²×C₃²×C₄	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	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	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
270	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
271	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
272	C₃×#237	—	4	2	no	—
273	C₃×D₃×D₄	—	4	2	no	—
274	C₃×#235	—	4	2	no	—
275	C₃×#235	—	4	2	no	—
276	C₂×C₃×D₁₂	—	4	2	no	—
277	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
278	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
279	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
280	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
281	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
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×D₁₂	C₂³	1	1	yes	characteristic
295	C₂×C₃×C₄×D₃	—	4	2	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
330	C₃²×C₄⋊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	C₃²×C₄²	C₂³	1	1	yes	characteristic
342	C₃²×C₄²	C₂³	1	1	yes	characteristic
343	C₃²×C₄²	C₂³	1	1	yes	characteristic
344	C₃×#217	C₂³	1	1	yes	characteristic
345	C₃×#217	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×(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×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
382	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
383	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
384	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
385	C₃×(C₂×D₃)⋊C₄	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×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
390	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
391	C₃×C₄⋊Dic₃	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×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
406	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
407	C₃×Dic₃⋊C₄	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×#237	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	—	2	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	C₂×D₃	1	1	yes	characteristic, complemented
455	C₃×#125	C₂²×C₃	1	1	yes	characteristic, complemented
456	C₃×#125	C₂²×C₃	1	1	yes	characteristic, complemented
457	C₃×#125	C₂²×C₃	1	1	yes	characteristic, complemented
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×#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	—	3	1	no	—
497	C₃×#123	—	3	1	no	—
498	C₃×#123	C₂×D₃	1	1	yes	characteristic
499	C₃×#123	C₂×D₃	1	1	yes	characteristic
500	C₃×#123	C₂²×C₃	1	1	yes	characteristic
501	C₃×#123	C₂²×C₃	1	1	yes	characteristic
502	C₃×C₂²⋊Q₈	—	2	1	no	—
503	C₃×C₂²⋊Q₈	—	2	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	—	3	1	no	—
518	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
519	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
520	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
521	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
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×#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×#120	—	3	1	no	—
547	C₃×#120	—	3	1	no	—
548	C₃×#120	—	3	1	no	—
549	C₃×#120	—	3	1	no	—
550	C₃×#120	—	3	1	no	—
551	C₃×#120	—	3	1	no	—
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×C₄×Q₈	—	2	1	no	—
557	C₃×C₄×Q₈	—	3	1	no	—
558	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
559	C₃×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
560	C₃×C₄×D₄	—	2	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	—	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	C₂×D₃	1	1	yes	characteristic
579	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
580	C₃×#117	—	2	1	no	—
581	C₃×#117	—	2	1	no	—
582	C₃×#117	—	2	1	no	—
583	C₃×#117	—	3	1	no	—
584	C₃×#117	—	3	1	no	—
585	C₃×#117	—	3	1	no	—
586	C₃×#117	—	3	1	no	—
587	C₃×#117	C₂×D₃	1	1	yes	characteristic, complemented
588	C₃×#117	C₂×D₃	1	1	yes	characteristic, complemented
589	C₃×#117	C₂×D₃	1	1	yes	characteristic, complemented
590	C₃×#117	C₂²×C₃	1	1	yes	characteristic, complemented
591	C₃×#117	C₂²×C₃	1	1	yes	characteristic, complemented
592	C₃×#117	C₂²×C₃	1	1	yes	characteristic, complemented
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	#947	C₂²×C₃	1	1	yes	characteristic, complemented
607	#947	C₂²×C₃	1	1	yes	characteristic, complemented
608	#946	C₂²×C₃	1	1	yes	characteristic, complemented
609	#939	C₂²×C₃	1	1	yes	characteristic
610	#937	C₂²×C₃	1	1	yes	characteristic
611	#930	C₂²×C₃	1	1	yes	characteristic
612	#930	C₂²×C₃	1	1	yes	characteristic, complemented
613	#930	C₂²×C₃	1	1	yes	characteristic, complemented
614	#929	C₂²×C₃	1	1	yes	characteristic
615	#929	C₂²×C₃	1	1	yes	characteristic, complemented
616	#929	C₂²×C₃	1	1	yes	characteristic, complemented
617	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
618	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
619	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
620	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
621	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
622	C₂×Dic₃⋊C₄	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	#898	C₂²×C₃	1	1	yes	characteristic, complemented
630	#897	C₂²×C₃	1	1	yes	characteristic, complemented
631	#897	C₂²×C₃	1	1	yes	characteristic, complemented
632	#897	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	#896	C₂²×C₃	1	1	yes	characteristic, complemented
640	#896	C₂²×C₃	1	1	yes	characteristic, complemented
641	#895	C₂²×C₃	1	1	yes	characteristic
642	#895	C₂²×C₃	1	1	yes	characteristic
643	#895	C₂²×C₃	1	1	yes	characteristic
644	#895	C₂²×C₃	1	1	yes	characteristic
645	#895	C₂²×C₃	1	1	yes	characteristic, complemented
646	#895	C₂²×C₃	1	1	yes	characteristic, complemented
647	#895	C₂²×C₃	1	1	yes	characteristic, complemented
648	#895	C₂²×C₃	1	1	yes	characteristic, complemented
649	#895	C₂²×C₃	1	1	yes	characteristic, complemented
650	#895	C₂²×C₃	1	1	yes	characteristic, complemented
651	#895	C₂²×C₃	1	1	yes	characteristic, complemented
652	#895	C₂²×C₃	1	1	yes	characteristic, complemented
653	#895	C₂²×C₃	1	1	yes	characteristic, complemented
654	#894	C₂²×C₃	1	1	yes	characteristic
655	#894	C₂²×C₃	1	1	yes	characteristic
656	#894	C₂²×C₃	1	1	yes	characteristic
657	#894	C₂²×C₃	1	1	yes	characteristic
658	#894	C₂²×C₃	1	1	yes	characteristic
659	#894	C₂²×C₃	1	1	yes	characteristic
660	#894	C₂²×C₃	1	1	yes	characteristic, complemented
661	#894	C₂²×C₃	1	1	yes	characteristic, complemented
662	#894	C₂²×C₃	1	1	yes	characteristic, complemented
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	#894	C₂²×C₃	1	1	yes	characteristic, complemented
673	#894	C₂²×C₃	1	1	yes	characteristic, complemented
674	#894	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	#893	C₂²×C₃	1	1	yes	characteristic, complemented
678	#893	C₂²×C₃	1	1	yes	characteristic, complemented
679	#893	C₂²×C₃	1	1	yes	characteristic, complemented
680	#892	C₂²×C₃	1	1	yes	characteristic, complemented
681	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
682	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
683	#889	C₂²×C₃	1	1	yes	characteristic, complemented
684	#889	C₂²×C₃	1	1	yes	characteristic, complemented
685	#888	C₂²×C₃	1	1	yes	characteristic, complemented
686	#888	C₂²×C₃	1	1	yes	characteristic, complemented
687	#886	C₂²×C₃	1	1	yes	characteristic
688	#886	C₂²×C₃	1	1	yes	characteristic, complemented
689	#886	C₂²×C₃	1	1	yes	characteristic, complemented
690	#885	C₂²×C₃	1	1	yes	characteristic, complemented
691	#885	C₂²×C₃	1	1	yes	characteristic, complemented
692	#884	C₂²×C₃	1	1	yes	characteristic
693	#884	C₂²×C₃	1	1	yes	characteristic
694	#884	C₂²×C₃	1	1	yes	characteristic, complemented
695	#884	C₂²×C₃	1	1	yes	characteristic, complemented
696	#884	C₂²×C₃	1	1	yes	characteristic, complemented
697	#884	C₂²×C₃	1	1	yes	characteristic, complemented
698	#884	C₂²×C₃	1	1	yes	characteristic, complemented
699	#883	C₂²×C₃	1	1	yes	characteristic, complemented
700	#882	C₂²×C₃	1	1	yes	characteristic
701	#882	C₂²×C₃	1	1	yes	characteristic
702	#882	C₂²×C₃	1	1	yes	characteristic
703	#882	C₂²×C₃	1	1	yes	characteristic
704	#882	C₂²×C₃	1	1	yes	characteristic
705	#882	C₂²×C₃	1	1	yes	characteristic, complemented
706	#882	C₂²×C₃	1	1	yes	characteristic, complemented
707	#882	C₂²×C₃	1	1	yes	characteristic, complemented
708	#882	C₂²×C₃	1	1	yes	characteristic, complemented
709	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
710	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
711	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
712	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
713	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
714	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
715	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
716	#878	C₂²×C₃	1	1	yes	characteristic, complemented
717	#878	C₂²×C₃	1	1	yes	characteristic, complemented
718	#877	C₂²×C₃	1	1	yes	characteristic, complemented
719	#876	C₂²×C₃	1	1	yes	characteristic, complemented
720	#876	C₂²×C₃	1	1	yes	characteristic, complemented
721	#876	C₂²×C₃	1	1	yes	characteristic, complemented
722	#875	C₂²×C₃	1	1	yes	characteristic
723	#875	C₂²×C₃	1	1	yes	characteristic, complemented
724	#875	C₂²×C₃	1	1	yes	characteristic, complemented
725	#875	C₂²×C₃	1	1	yes	characteristic, complemented
726	#875	C₂²×C₃	1	1	yes	characteristic, complemented
727	#874	C₂²×C₃	1	1	yes	characteristic
728	#874	C₂²×C₃	1	1	yes	characteristic, complemented
729	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
730	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
731	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
732	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
733	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
734	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
735	#872	C₂²×C₃	1	1	yes	characteristic, complemented
736	#872	C₂²×C₃	1	1	yes	characteristic, complemented
737	#870	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	C₂²×C₃×D₃	—	2	2	no	—
742	C₂²×C₃×D₃	—	2	2	no	—
743	C₂²×C₃×D₃	—	4	1	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	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
759	C₂×C₃²×C₄	—	2	2	no	—
760	C₂×C₃²×C₄	—	2	2	no	—
761	C₂×C₃²×C₄	—	4	1	no	—
762	C₂×C₃²×C₄	—	4	1	no	—
763	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
764	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
765	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
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	C₃×#67	—	2	2	no	—
777	C₃×#67	—	2	2	no	—
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	C₂×C₃×Dic₃	—	2	2	no	—
785	C₂×C₃×Dic₃	—	4	1	no	—
786	C₂×C₃×Dic₃	—	4	1	no	—
787	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
788	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
789	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
790	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
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	C₃×D₁₂	—	4	1	no	—
797	C₃×D₁₂	—	4	1	no	—
798	C₃×D₁₂	—	4	1	no	—
799	C₃×D₁₂	—	4	1	no	—
800	C₃×D₁₂	—	4	1	no	—
801	C₃×D₁₂	—	4	1	no	—
802	C₃×D₁₂	—	4	1	no	—
803	C₃×D₁₂	—	4	1	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×D₁₂	—	4	1	no	—
814	C₃×C₄×D₃	—	4	1	no	—
815	C₃×C₄×D₃	—	4	1	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	C₃×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
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	—	3	1	no	—
882	C₂×C₃×D₄	—	3	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	C₂³×C₃	1	1	yes	characteristic
911	C₂²×C₃×C₄	—	2	1	no	—
912	C₂²×C₃×C₄	—	2	1	no	—
913	C₂²×C₃×C₄	—	2	1	no	—
914	C₂²×C₃×C₄	—	2	1	no	—
915	C₂²×C₃×C₄	—	3	1	no	—
916	C₂²×C₃×C₄	—	3	1	no	—
917	C₂²×C₃×C₄	—	3	1	no	—
918	C₂²×C₃×C₄	—	3	1	no	—
919	C₂²×C₃×C₄	—	3	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	—	12	2	no	—
934	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
935	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
936	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
937	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
938	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
939	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
940	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
941	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
942	C₂×#67	C₂³×C₃	1	1	yes	characteristic
943	C₂×#67	C₂³×C₃	1	1	yes	characteristic
944	C₂×#67	C₂³×C₃	1	1	yes	characteristic
945	C₂×#67	C₂³×C₃	1	1	yes	characteristic
946	C₂×#67	C₂³×C₃	1	1	yes	characteristic
947	C₂×#67	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	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
951	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
952	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
953	#237	—	4	2	no	—
954	D₃×D₄	—	4	2	no	—
955	#235	—	4	2	no	—
956	#235	—	4	2	no	—
957	C₂×D₁₂	—	4	2	no	—
958	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
959	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
960	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
961	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
962	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
963	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
964	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
965	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
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×C₄×D₃	—	4	2	no	—
977	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
978	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
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×Dic₆	C₂³×C₃	1	1	yes	characteristic
993	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
994	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
995	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
996	C₃×C₄⋊C₄	—	2	1	no	—
997	C₃×C₄⋊C₄	—	2	1	no	—
998	C₃×C₄⋊C₄	—	2	1	no	—
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	—	3	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	C₂²×D₃	1	1	yes	characteristic
1035	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1036	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
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	C₂³×C₃	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×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
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	—	3	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	—	3	1	no	—
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	C₂³×C₃	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×C₄²	—	2	1	no	—
1133	C₃×C₄²	—	2	1	no	—
1134	C₃×C₄²	—	2	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
1143	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1144	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
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	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1150	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1151	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1152	#217	C₂³×C₃	1	1	yes	characteristic
1153	#217	C₂³×C₃	1	1	yes	characteristic
1154	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1155	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1156	(C₂×D₃)⋊C₄	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	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1190	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1191	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1192	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1193	(C₂×D₃)⋊C₄	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	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1198	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1199	C₄⋊Dic₃	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	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1214	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1215	Dic₃⋊C₄	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	H(5,𝔽₂)	1	2	yes	—
1227	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
1228	C₂×C₃×D₃	—	2	1	no	—
1229	C₂×C₃×D₃	—	2	1	no	—
1230	C₂×C₃×D₃	—	2	1	no	—
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	—	2	1	no	—
1249	C₂×C₃×D₃	—	4	4	no	—
1250	C₂×C₃×D₃	—	8	2	no	—
1251	C₂×C₃×D₃	—	8	2	no	—
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	C₃²×C₄	—	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	C₂×C₃×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
1339	#123	—	3	1	no	—
1340	#123	C₂×C₃×D₃	1	1	yes	characteristic
1341	#123	C₂×C₃×D₃	1	1	yes	characteristic
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	—	3	1	no	—
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	—	3	1	no	—
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	C₂×C₃×D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
1411	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
1412	#117	—	3	1	no	—
1413	#117	—	3	1	no	—
1414	#117	—	3	1	no	—
1415	#117	—	3	1	no	—
1416	#117	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1417	#117	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1418	#117	C₂×C₃×D₃	1	1	yes	characteristic, complemented
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	—	3	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	C₂⁴×C₃	1	1	yes	characteristic
1450	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1451	C₂²×D₃	—	2	2	no	—
1452	C₂²×D₃	—	2	2	no	—
1453	C₂²×D₃	—	4	1	no	—
1454	C₂²×D₃	—	4	1	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	C₂⁴×C₃	1	1	yes	characteristic
1461	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
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	C₃×Q₈	—	4	1	no	—
1468	C₃×Q₈	—	4	1	no	—
1469	C₃×Q₈	—	4	2	no	—
1470	C₃×Q₈	—	12	1	no	—
1471	C₃×Q₈	—	12	1	no	—
1472	C₃×Q₈	—	12	1	no	—
1473	C₃×Q₈	—	12	1	no	—
1474	C₃×D₄	—	2	2	no	—
1475	C₃×D₄	—	2	2	no	—
1476	C₃×D₄	—	4	2	no	—
1477	C₃×D₄	—	6	2	no	—
1478	C₃×D₄	—	6	2	no	—
1479	C₃×D₄	—	6	2	no	—
1480	C₃×D₄	—	12	1	no	—
1481	C₃×D₄	—	12	1	no	—
1482	C₃×D₄	—	12	1	no	—
1483	C₃×D₄	—	12	1	no	—
1484	C₃×D₄	—	12	1	no	—
1485	C₃×D₄	—	12	1	no	—
1486	C₃×D₄	—	12	1	no	—
1487	C₃×D₄	—	12	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	C₂×C₃×C₄	—	2	2	no	—
1504	C₂×C₃×C₄	—	2	2	no	—
1505	C₂×C₃×C₄	—	2	2	no	—
1506	C₂×C₃×C₄	—	2	2	no	—
1507	C₂×C₃×C₄	—	2	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	—	4	2	no	—
1530	C₂×C₃×C₄	—	4	2	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	2	no	—
1536	C₂×C₃×C₄	—	4	2	no	—
1537	C₂×C₃×C₄	—	6	2	no	—
1538	C₂×C₃×C₄	—	12	1	no	—
1539	C₂×C₃×C₄	—	12	1	no	—
1540	C₂×C₃×C₄	—	12	1	no	—
1541	C₂×C₃×C₄	—	12	1	no	—
1542	C₂×C₃×C₄	—	12	1	no	—
1543	C₂×C₃×C₄	—	12	1	no	—
1544	C₂×C₃×C₄	—	12	1	no	—
1545	C₂×C₃×C₄	—	12	1	no	—
1546	C₂×C₃×C₄	—	12	1	no	—
1547	C₂×C₃×C₄	—	12	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	C₂³×D₃	1	1	yes	characteristic
1556	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1557	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1558	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1559	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1560	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1561	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
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	C₂⁴×C₃	1	1	yes	characteristic
1569	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1570	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1571	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1572	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1573	C₂×C₃×C₄	C₂⁴×C₃	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	#67	—	2	2	no	—
1582	#67	—	2	2	no	—
1583	#67	—	2	2	no	—
1584	#67	—	4	1	no	—
1585	#67	—	4	1	no	—
1586	#67	—	4	1	no	—
1587	#67	—	4	1	no	—
1588	#67	—	4	1	no	—
1589	C₂×Dic₃	—	2	2	no	—
1590	C₂×Dic₃	—	4	1	no	—
1591	C₂×Dic₃	—	4	1	no	—
1592	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1593	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1594	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1595	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1596	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1597	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1598	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1599	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1600	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1601	D₁₂	—	4	1	no	—
1602	D₁₂	—	4	1	no	—
1603	D₁₂	—	4	1	no	—
1604	D₁₂	—	4	1	no	—
1605	D₁₂	—	4	1	no	—
1606	D₁₂	—	4	1	no	—
1607	D₁₂	—	4	1	no	—
1608	D₁₂	—	4	1	no	—
1609	D₁₂	—	4	1	no	—
1610	D₁₂	—	4	1	no	—
1611	D₁₂	—	4	1	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	C₄×D₃	—	4	1	no	—
1620	C₄×D₃	—	4	1	no	—
1621	C₄×D₃	—	4	1	no	—
1622	C₄×D₃	—	4	1	no	—
1623	C₄×D₃	—	4	1	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	Dic₆	—	4	1	no	—
1635	Dic₆	—	4	1	no	—
1636	Dic₆	—	4	1	no	—
1637	Dic₆	—	4	1	no	—
1638	C₂×C₃²	—	2	2	no	—
1639	C₂×C₃²	—	4	1	no	—
1640	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1641	C₂×C₃²	#585	1	1	yes	characteristic
1642	C₂×C₃²	#585	1	1	yes	characteristic
1643	C₃×D₃	—	4	1	no	—
1644	C₃×D₃	—	4	1	no	—
1645	C₃×D₃	—	4	1	no	—
1646	C₃×D₃	—	4	1	no	—
1647	C₃×D₃	—	4	1	no	—
1648	C₃×D₃	—	4	1	no	—
1649	C₃×D₃	—	4	1	no	—
1650	C₂⁴	—	3	1	no	—
1651	C₂⁴	—	3	1	no	—
1652	C₂⁴	—	3	1	no	—
1653	#41	—	12	2	no	—
1654	#41	—	12	2	no	—
1655	#41	—	12	2	no	—
1656	C₂×Q₈	—	3	1	no	—
1657	C₂×Q₈	—	3	1	no	—
1658	C₂×Q₈	—	3	1	no	—
1659	C₂×Q₈	—	3	1	no	—
1660	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1661	C₂×D₄	—	3	1	no	—
1662	C₂×D₄	—	3	1	no	—
1663	C₂×D₄	—	3	1	no	—
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	—	12	2	no	—
1688	C₂×D₄	—	12	2	no	—
1689	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
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	—	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	—	12	2	no	—
1709	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1710	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1711	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1712	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1713	C₄⋊C₄	—	3	1	no	—
1714	C₄⋊C₄	—	3	1	no	—
1715	C₄⋊C₄	—	3	1	no	—
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	C₂²×C₃×D₃	1	1	yes	characteristic
1736	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1737	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1738	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1739	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
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	C₂²⋊C₄	—	3	1	no	—
1752	C₂²⋊C₄	—	3	1	no	—
1753	C₂²⋊C₄	—	3	1	no	—
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	C₂²×C₃×D₃	1	1	yes	characteristic
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	C₄²	—	3	1	no	—
1802	C₄²	—	3	1	no	—
1803	C₄²	—	3	1	no	—
1804	C₄²	—	3	1	no	—
1805	C₄²	—	3	1	no	—
1806	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1807	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1808	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1809	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1810	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1811	C₂²×C₃	—	2	1	no	—
1812	C₂²×C₃	—	2	1	no	—
1813	C₂²×C₃	—	2	1	no	—
1814	C₂²×C₃	—	2	1	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	2	no	—
1822	C₂²×C₃	—	2	1	no	—
1823	C₂²×C₃	—	4	1	no	—
1824	C₂²×C₃	—	4	1	no	—
1825	C₂²×C₃	—	4	1	no	—
1826	C₂²×C₃	—	4	1	no	—
1827	C₂²×C₃	—	4	1	no	—
1828	C₂²×C₃	—	6	1	no	—
1829	C₂²×C₃	—	6	1	no	—
1830	C₂²×C₃	—	6	1	no	—
1831	C₂²×C₃	—	6	1	no	—
1832	C₂²×C₃	—	6	1	no	—
1833	C₂²×C₃	—	6	1	no	—
1834	C₂²×C₃	—	6	1	no	—
1835	C₂²×C₃	—	6	1	no	—
1836	C₂²×C₃	—	6	1	no	—
1837	C₂²×C₃	—	6	1	no	—
1838	C₂²×C₃	—	6	1	no	—
1839	C₂²×C₃	—	6	1	no	—
1840	C₂²×C₃	—	6	1	no	—
1841	C₂²×C₃	—	6	1	no	—
1842	C₂²×C₃	—	6	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	—	12	4	no	—
1850	C₂²×C₃	—	24	2	no	—
1851	C₂²×C₃	—	24	2	no	—
1852	C₂²×C₃	#1009	1	2	yes	—
1853	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	—
1854	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1855	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1856	C₂×D₃	—	2	1	no	—
1857	C₂×D₃	—	2	1	no	—
1858	C₂×D₃	—	2	1	no	—
1859	C₂×D₃	—	2	1	no	—
1860	C₂×D₃	—	2	1	no	—
1861	C₂×D₃	—	2	1	no	—
1862	C₂×D₃	—	2	1	no	—
1863	C₂×D₃	—	2	1	no	—
1864	C₂×D₃	—	2	1	no	—
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	—	4	4	no	—
1878	C₂×D₃	—	8	2	no	—
1879	C₂×D₃	—	8	2	no	—
1880	C₃×C₄	—	2	2	no	—
1881	C₃×C₄	—	2	1	no	—
1882	C₃×C₄	—	2	1	no	—
1883	C₃×C₄	—	2	1	no	—
1884	C₃×C₄	—	2	1	no	—
1885	C₃×C₄	—	2	1	no	—
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	—	4	1	no	—
1908	C₃×C₄	—	4	1	no	—
1909	C₃×C₄	—	4	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	—	6	1	no	—
1920	C₃×C₄	—	6	1	no	—
1921	C₃×C₄	—	6	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	Dic₃	—	2	1	no	—
1929	Dic₃	—	2	1	no	—
1930	Dic₃	—	2	1	no	—
1931	Dic₃	—	2	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	C₃²	#3533	1	1	yes	characteristic, complemented, Sylow
1938	C₂³	—	3	1	no	—
1939	C₂³	—	3	1	no	—
1940	C₂³	—	3	1	no	—
1941	C₂³	—	3	1	no	—
1942	C₂³	—	3	1	no	—
1943	C₂³	—	3	1	no	—
1944	C₂³	—	3	1	no	—
1945	C₂³	—	6	2	no	—
1946	C₂³	—	6	2	no	—
1947	C₂³	—	12	1	no	—
1948	C₂³	—	12	1	no	—
1949	C₂³	—	12	1	no	—
1950	C₂³	—	12	1	no	—
1951	C₂³	—	12	1	no	—
1952	C₂³	—	12	1	no	—
1953	C₂³	—	12	1	no	—
1954	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1955	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1956	Q₈	—	4	1	no	—
1957	Q₈	—	12	1	no	—
1958	Q₈	—	12	1	no	—
1959	Q₈	—	12	1	no	—
1960	Q₈	—	12	1	no	—
1961	D₄	—	2	2	no	—
1962	D₄	—	6	2	no	—
1963	D₄	—	6	2	no	—
1964	D₄	—	6	2	no	—
1965	D₄	—	12	1	no	—
1966	D₄	—	12	1	no	—
1967	D₄	—	12	1	no	—
1968	D₄	—	12	1	no	—
1969	D₄	—	12	1	no	—
1970	D₄	—	12	1	no	—
1971	D₄	—	12	1	no	—
1972	D₄	—	12	1	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	C₂×C₄	—	2	2	no	—
1989	C₂×C₄	—	2	2	no	—
1990	C₂×C₄	—	3	1	no	—
1991	C₂×C₄	—	3	1	no	—
1992	C₂×C₄	—	3	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	—	4	1	no	—
2000	C₂×C₄	—	4	1	no	—
2001	C₂×C₄	—	6	2	no	—
2002	C₂×C₄	—	12	1	no	—
2003	C₂×C₄	—	12	1	no	—
2004	C₂×C₄	—	12	1	no	—
2005	C₂×C₄	—	12	1	no	—
2006	C₂×C₄	—	12	1	no	—
2007	C₂×C₄	—	12	1	no	—
2008	C₂×C₄	—	12	1	no	—
2009	C₂×C₄	—	12	1	no	—
2010	C₂×C₄	—	12	1	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	C₂³×C₃×D₃	1	1	yes	characteristic
2020	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2021	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2022	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2023	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2024	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
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×C₃	—	2	2	no	—
2033	C₂×C₃	—	2	2	no	—
2034	C₂×C₃	—	2	1	no	—
2035	C₂×C₃	—	2	1	no	—
2036	C₂×C₃	—	2	1	no	—
2037	C₂×C₃	—	4	2	no	—
2038	C₂×C₃	—	4	1	no	—
2039	C₂×C₃	—	4	1	no	—
2040	C₂×C₃	—	8	1	no	—
2041	C₂×C₃	—	12	1	no	—
2042	C₂×C₃	—	12	1	no	—
2043	C₂×C₃	—	12	1	no	—
2044	C₂×C₃	—	12	1	no	—
2045	C₂×C₃	—	12	1	no	—
2046	C₂×C₃	—	12	1	no	—
2047	C₂×C₃	—	12	1	no	—
2048	C₂×C₃	C₂×#1009	1	1	yes	characteristic
2049	C₂×C₃	#5964	1	1	yes	characteristic
2050	C₂×C₃	#5968	1	1	yes	characteristic
2051	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
2052	C₂×C₃	C₃×#585	1	1	yes	characteristic
2053	C₂×C₃	C₃×#585	1	1	yes	characteristic
2054	D₃	—	4	1	no	—
2055	D₃	—	4	1	no	—
2056	D₃	—	4	1	no	—
2057	D₃	—	4	1	no	—
2058	D₃	—	4	1	no	—
2059	D₃	—	4	1	no	—
2060	D₃	—	4	1	no	—
2061	C₂²	—	2	1	no	—
2062	C₂²	—	2	1	no	—
2063	C₂²	—	2	1	no	—
2064	C₂²	—	2	1	no	—
2065	C₂²	—	2	1	no	—
2066	C₂²	—	6	1	no	—
2067	C₂²	—	6	1	no	—
2068	C₂²	—	6	1	no	—
2069	C₂²	—	6	1	no	—
2070	C₂²	—	6	1	no	—
2071	C₂²	—	6	1	no	—
2072	C₂²	—	6	1	no	—
2073	C₂²	—	6	1	no	—
2074	C₂²	—	6	1	no	—
2075	C₂²	—	6	1	no	—
2076	C₂²	—	6	1	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	—	12	4	no	—
2088	C₂²	—	24	2	no	—
2089	C₂²	—	24	2	no	—
2090	C₂²	C₃×#1009	1	2	yes	—
2091	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
2092	C₄	—	2	1	no	—
2093	C₄	—	2	1	no	—
2094	C₄	—	2	1	no	—
2095	C₄	—	2	1	no	—
2096	C₄	—	2	1	no	—
2097	C₄	—	2	1	no	—
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	—	6	1	no	—
2106	C₄	—	6	1	no	—
2107	C₄	—	6	1	no	—
2108	C₄	—	6	1	no	—
2109	C₄	—	6	1	no	—
2110	C₄	—	6	1	no	—
2111	C₄	—	6	1	no	—
2112	C₄	—	6	1	no	—
2113	C₄	—	6	1	no	—
2114	C₃	—	2	1	no	—
2115	C₃	#86864	1	1	yes	characteristic, direct product factor
2116	C₃	C₃×#3533	1	1	yes	characteristic, complemented
2117	C₂	—	2	2	no	—
2118	C₂	—	4	1	no	—
2119	C₂	—	12	1	no	—
2120	C₂	—	12	1	no	—
2121	C₂	—	12	1	no	—
2122	C₂	—	12	1	no	—
2123	C₂	—	12	1	no	—
2124	C₂	—	12	1	no	—
2125	C₂	—	12	1	no	—
2126	C₂	C₂×C₃×#1009	1	1	yes	characteristic
2127	C₂	C₃×#5964	1	1	yes	characteristic
2128	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×#552	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#552	D₃
hypocenter	C₃	C₃×#3533
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#552

Complements

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

N	H ≅ G/N	type
1. C₃²×#552	C₂	semidirect
2. C₃×#5711	C₂	semidirect
3. C₃×#5710	C₂	semidirect
4. C₃×#5709	C₂	semidirect
5. C₃×#5704	C₂	semidirect
6. C₃×#5700	C₂	semidirect
7. C₃×#5699	C₂	semidirect
8. C₃×#5697	C₂	semidirect
9. C₃×#5695	C₂	semidirect
10. C₃×#5692	C₂	semidirect
11. C₃×#5692	C₂	semidirect
12. C₃×#5656	C₂	semidirect
13. C₃×#5655	C₂	semidirect
14. C₃×#5654	C₂	semidirect
15. C₃×#5653	C₂	semidirect
16. C₃×#5647	C₂	semidirect
17. C₃×#5644	C₂	semidirect
18. C₃×#5644	C₂	semidirect
19. C₃×#5637	C₂	semidirect
20. C₃×#5585	C₂	semidirect
21. C₃×#5582	C₂	semidirect
22. C₃×#5560	C₂	semidirect
23. C₃×#5554	C₂	semidirect
24. C₃×#5535	C₂	semidirect
25. C₃×#5531	C₂	semidirect
26. C₃×#5527	C₂	semidirect
27. C₃×#5527	C₂	semidirect
28. C₃×#5525	C₂	semidirect
29. C₃×#5524	C₂	semidirect
30. C₃×#5507	C₂	semidirect
31. C₂×C₃×#894	C₂	semidirect
33. #86864	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
44. C₃²×#125	C₂²	semidirect
47. C₃²×C₂²⋊Q₈	C₂²	semidirect
48. C₃²×C₂²⋊Q₈	C₂²	semidirect
49. C₃²×C₄×Q₈	C₂²	semidirect
51. C₃²×#117	C₂²	semidirect
52. C₃²×#117	C₂²	semidirect
53. C₃²×#117	C₂²	semidirect
54. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
55. C₃×#947	C₂²	semidirect
56. C₃×#947	C₂²	semidirect
57. C₃×#947	C₂²	semidirect
58. C₃×#946	C₂²	semidirect
62. C₃×#930	C₂²	semidirect
63. C₃×#930	C₂²	semidirect
65. C₃×#929	C₂²	semidirect
66. C₃×#929	C₂²	semidirect
67. C₃×C₄×#67	C₂²	semidirect
70. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
71. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
72. C₂×C₃×Dic₃⋊C₄	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×#897	C₂²	semidirect
81. C₃×#897	C₂²	semidirect
82. C₃×#897	C₂²	semidirect
83. C₃×#896	C₂²	semidirect
84. C₃×#896	C₂²	semidirect
85. C₃×#896	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
95. C₃×#895	C₂²	semidirect
96. C₃×#895	C₂²	semidirect
97. C₃×#895	C₂²	semidirect
98. C₃×#895	C₂²	semidirect
99. C₃×#895	C₂²	semidirect
100. C₃×#895	C₂²	semidirect
101. C₃×#895	C₂²	semidirect
102. C₃×#895	C₂²	semidirect
103. C₃×#895	C₂²	semidirect
110. C₃×#894	C₂²	semidirect
111. C₃×#894	C₂²	semidirect
112. C₃×#894	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
122. C₃×#894	C₂²	semidirect
123. C₃×#894	C₂²	semidirect
124. C₃×#894	C₂²	semidirect
125. C₃×#893	C₂²	semidirect
126. C₃×#893	C₂²	semidirect
127. C₃×#893	C₂²	semidirect
128. C₃×#893	C₂²	semidirect
129. C₃×#893	C₂²	semidirect
130. C₃×#892	C₂²	semidirect
131. C₃×D₃×C₄⋊C₄	C₂²	semidirect
132. C₃×D₃×C₄⋊C₄	C₂²	semidirect
133. C₃×#889	C₂²	semidirect
134. C₃×#889	C₂²	semidirect
135. C₃×#888	C₂²	semidirect
136. C₃×#888	C₂²	semidirect
138. C₃×#886	C₂²	semidirect
139. C₃×#886	C₂²	semidirect
140. C₃×#885	C₂²	semidirect
141. C₃×#885	C₂²	semidirect
144. C₃×#884	C₂²	semidirect
145. C₃×#884	C₂²	semidirect
146. C₃×#884	C₂²	semidirect
147. C₃×#884	C₂²	semidirect
148. C₃×#884	C₂²	semidirect
149. C₃×#883	C₂²	semidirect
155. C₃×#882	C₂²	semidirect
156. C₃×#882	C₂²	semidirect
157. C₃×#882	C₂²	semidirect
158. C₃×#882	C₂²	semidirect
160. C₃×#67⋊C₄	C₂²	semidirect
161. C₃×#67⋊C₄	C₂²	semidirect
162. C₃×#67⋊C₄	C₂²	semidirect
163. C₃×#67⋊C₄	C₂²	semidirect
165. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
166. C₃×#878	C₂²	semidirect
167. C₃×#878	C₂²	semidirect
168. C₃×#877	C₂²	semidirect
169. C₃×#876	C₂²	semidirect
170. C₃×#876	C₂²	semidirect
171. C₃×#876	C₂²	semidirect
173. C₃×#875	C₂²	semidirect
174. C₃×#875	C₂²	semidirect
175. C₃×#875	C₂²	semidirect
176. C₃×#875	C₂²	semidirect
178. C₃×#874	C₂²	semidirect
179. C₃×C₄×D₁₂	C₂²	semidirect
180. C₃×C₄×D₁₂	C₂²	semidirect
181. C₃×C₄×D₁₂	C₂²	semidirect
182. C₃×C₄×D₁₂	C₂²	semidirect
183. C₃×C₄×D₁₂	C₂²	semidirect
184. C₃×C₄×D₁₂	C₂²	semidirect
185. C₃×#872	C₂²	semidirect
186. C₃×#872	C₂²	semidirect
187. C₃×#870	C₂²	semidirect
188. C₃×C₄×Dic₆	C₂²	semidirect
198. C₃×#552	D₃	semidirect
199. C₃×#552	C₂×C₃	semidirect
222. #5711	C₂×C₃	semidirect
223. #5710	C₂×C₃	semidirect
224. #5709	C₂×C₃	semidirect
225. #5704	C₂×C₃	semidirect
226. #5700	C₂×C₃	semidirect
227. #5699	C₂×C₃	semidirect
228. #5697	C₂×C₃	semidirect
229. #5695	C₂×C₃	semidirect
230. #5692	C₂×C₃	semidirect
231. #5692	C₂×C₃	semidirect
232. #5656	C₂×C₃	semidirect
233. #5655	C₂×C₃	semidirect
234. #5654	C₂×C₃	semidirect
235. #5653	C₂×C₃	semidirect
236. #5647	C₂×C₃	semidirect
237. #5644	C₂×C₃	semidirect
238. #5644	C₂×C₃	semidirect
239. #5637	C₂×C₃	semidirect
240. #5585	C₂×C₃	semidirect
241. #5582	C₂×C₃	semidirect
242. #5560	C₂×C₃	semidirect
243. #5554	C₂×C₃	semidirect
244. #5535	C₂×C₃	semidirect
245. #5531	C₂×C₃	semidirect
246. #5527	C₂×C₃	semidirect
247. #5527	C₂×C₃	semidirect
248. #5525	C₂×C₃	semidirect
249. #5524	C₂×C₃	semidirect
250. #5507	C₂×C₃	semidirect
251. C₂×#894	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	C₂×D₃	semidirect
455. C₃×#125	C₂²×C₃	semidirect
456. C₃×#125	C₂²×C₃	semidirect
457. C₃×#125	C₂²×C₃	semidirect
518. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
519. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
520. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
521. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
558. C₃×C₄×Q₈	C₂×D₃	semidirect
559. C₃×C₄×Q₈	C₂²×C₃	semidirect
587. C₃×#117	C₂×D₃	semidirect
588. C₃×#117	C₂×D₃	semidirect
589. C₃×#117	C₂×D₃	semidirect
590. C₃×#117	C₂²×C₃	semidirect
591. C₃×#117	C₂²×C₃	semidirect
592. C₃×#117	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. #947	C₂²×C₃	semidirect
607. #947	C₂²×C₃	semidirect
608. #946	C₂²×C₃	semidirect
612. #930	C₂²×C₃	semidirect
613. #930	C₂²×C₃	semidirect
615. #929	C₂²×C₃	semidirect
616. #929	C₂²×C₃	semidirect
617. C₄×#67	C₂²×C₃	semidirect
620. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
621. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
622. C₂×Dic₃⋊C₄	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. #898	C₂²×C₃	semidirect
630. #897	C₂²×C₃	semidirect
631. #897	C₂²×C₃	semidirect
632. #897	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
639. #896	C₂²×C₃	semidirect
640. #896	C₂²×C₃	semidirect
645. #895	C₂²×C₃	semidirect
646. #895	C₂²×C₃	semidirect
647. #895	C₂²×C₃	semidirect
648. #895	C₂²×C₃	semidirect
649. #895	C₂²×C₃	semidirect
650. #895	C₂²×C₃	semidirect
651. #895	C₂²×C₃	semidirect
652. #895	C₂²×C₃	semidirect
653. #895	C₂²×C₃	semidirect
660. #894	C₂²×C₃	semidirect
661. #894	C₂²×C₃	semidirect
662. #894	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
672. #894	C₂²×C₃	semidirect
673. #894	C₂²×C₃	semidirect
674. #894	C₂²×C₃	semidirect
675. #893	C₂²×C₃	semidirect
676. #893	C₂²×C₃	semidirect
677. #893	C₂²×C₃	semidirect
678. #893	C₂²×C₃	semidirect
679. #893	C₂²×C₃	semidirect
680. #892	C₂²×C₃	semidirect
681. D₃×C₄⋊C₄	C₂²×C₃	semidirect
682. D₃×C₄⋊C₄	C₂²×C₃	semidirect
683. #889	C₂²×C₃	semidirect
684. #889	C₂²×C₃	semidirect
685. #888	C₂²×C₃	semidirect
686. #888	C₂²×C₃	semidirect
688. #886	C₂²×C₃	semidirect
689. #886	C₂²×C₃	semidirect
690. #885	C₂²×C₃	semidirect
691. #885	C₂²×C₃	semidirect
694. #884	C₂²×C₃	semidirect
695. #884	C₂²×C₃	semidirect
696. #884	C₂²×C₃	semidirect
697. #884	C₂²×C₃	semidirect
698. #884	C₂²×C₃	semidirect
699. #883	C₂²×C₃	semidirect
705. #882	C₂²×C₃	semidirect
706. #882	C₂²×C₃	semidirect
707. #882	C₂²×C₃	semidirect
708. #882	C₂²×C₃	semidirect
710. #67⋊C₄	C₂²×C₃	semidirect
711. #67⋊C₄	C₂²×C₃	semidirect
712. #67⋊C₄	C₂²×C₃	semidirect
713. #67⋊C₄	C₂²×C₃	semidirect
715. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
716. #878	C₂²×C₃	semidirect
717. #878	C₂²×C₃	semidirect
718. #877	C₂²×C₃	semidirect
719. #876	C₂²×C₃	semidirect
720. #876	C₂²×C₃	semidirect
721. #876	C₂²×C₃	semidirect
723. #875	C₂²×C₃	semidirect
724. #875	C₂²×C₃	semidirect
725. #875	C₂²×C₃	semidirect
726. #875	C₂²×C₃	semidirect
728. #874	C₂²×C₃	semidirect
729. C₄×D₁₂	C₂²×C₃	semidirect
730. C₄×D₁₂	C₂²×C₃	semidirect
731. C₄×D₁₂	C₂²×C₃	semidirect
732. C₄×D₁₂	C₂²×C₃	semidirect
733. C₄×D₁₂	C₂²×C₃	semidirect
734. C₄×D₁₂	C₂²×C₃	semidirect
735. #872	C₂²×C₃	semidirect
736. #872	C₂²×C₃	semidirect
737. #870	C₂²×C₃	semidirect
738. C₄×Dic₆	C₂²×C₃	semidirect
841. #552	C₃×D₃	semidirect
1294. #126	C₂×C₃×D₃	semidirect
1295. #126	C₂×C₃×D₃	semidirect
1299. #125	C₂×C₃×D₃	semidirect
1300. #125	C₂×C₃×D₃	semidirect
1301. #125	C₂×C₃×D₃	semidirect
1356. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
1357. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
1393. C₄×Q₈	C₂×C₃×D₃	semidirect
1416. #117	C₂×C₃×D₃	semidirect
1417. #117	C₂×C₃×D₃	semidirect
1418. #117	C₂×C₃×D₃	semidirect
1422. C₂×C₄⋊C₄	C₂×C₃×D₃	semidirect
1937. C₃²	#3533	semidirect
2115. C₃	#86864	direct (N × H)
2116. 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×#552	2
C₃×#5711	2
C₃×#5710	2
C₃×#5709	2
C₃×#5704	2
C₃×#5700	2
C₃×#5699	2
C₃×#5697	2
C₃×#5695	2
C₃×#5692	2
C₃×#5656	2
C₃×#5655	2
C₃×#5654	2
C₃×#5653	2
C₃×#5647	2
C₃×#5644	2
C₃×#5637	2
C₃×#5585	2
C₃×#5582	2
C₃×#5560	2
C₃×#5554	2
C₃×#5535	2
C₃×#5531	2
C₃×#5527	2
C₃×#5525	2
C₃×#5524	2
C₃×#5507	2
C₂×C₃×#894	2
C₃×#3533	3
#86864	3

Subgroups — C3×#86864 #11910630

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86864 #11910630