Subgroups — C₃×#86116 #11909385

Order 1152.

2207 conjugacy classes of subgroups.

The subgroup lattice has 2041 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃²×#126	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5710	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5709	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5709	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5708	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5708	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5707	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5706	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5706	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5706	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5705	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5705	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5704	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×D₃×#126	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5702	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5702	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#5701	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#5515	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5514	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5513	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#5511	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5507	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#5504	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#5495	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#5495	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#5494	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#5490	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#5490	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#5486	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#5479	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×C₄×#235	C₂	1	1	yes	maximal, characteristic, complemented
32	C₃×#3521	—	3	1	no	maximal
33	#86116	C₃	1	1	yes	maximal, characteristic, direct product factor
34	C₂²×C₃×#67	C₂²	1	1	yes	characteristic
35	C₂×C₃×#235	C₂²	1	1	yes	characteristic
36	C₂×C₃×#235	C₂²	1	1	yes	characteristic
37	C₃²×#126	C₂²	1	1	yes	characteristic
38	C₃²×#126	C₂²	1	1	yes	characteristic
39	C₃²×#126	C₂²	1	1	yes	characteristic
40	C₃²×#126	C₂²	1	1	yes	characteristic
41	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
42	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
43	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
44	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
49	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
50	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
51	C₂×C₃²×C₄²	C₂²	1	1	yes	characteristic, complemented
52	C₃×#953	C₂²	1	1	yes	characteristic
53	C₃×#953	C₂²	1	1	yes	characteristic
54	C₂×C₃×#217	C₂²	1	1	yes	characteristic
55	C₃×#930	C₂²	1	1	yes	characteristic
56	C₃×#930	C₂²	1	1	yes	characteristic
57	C₃×#930	C₂²	1	1	yes	characteristic, complemented
58	C₃×#929	C₂²	1	1	yes	characteristic
59	C₃×#929	C₂²	1	1	yes	characteristic
60	C₃×#929	C₂²	1	1	yes	characteristic, complemented
61	C₃×#929	C₂²	1	1	yes	characteristic, complemented
62	C₃×C₄×#67	C₂²	1	1	yes	characteristic
63	C₃×C₄×#67	C₂²	1	1	yes	characteristic
64	C₃×C₄×#67	C₂²	1	1	yes	characteristic
65	C₃×C₄×#67	C₂²	1	1	yes	characteristic
66	C₃×C₄×#67	C₂²	1	1	yes	characteristic
67	C₃×C₄×#67	C₂²	1	1	yes	characteristic
68	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
69	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
70	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
71	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
72	C₃×#926	C₂²	1	1	yes	characteristic, complemented
73	C₃×#926	C₂²	1	1	yes	characteristic, complemented
74	C₃×#924	C₂²	1	1	yes	characteristic, complemented
75	C₃×#924	C₂²	1	1	yes	characteristic, complemented
76	C₃×#924	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×#897	C₂²	1	1	yes	characteristic, complemented
84	C₃×#897	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, complemented
92	C₃×#895	C₂²	1	1	yes	characteristic, complemented
93	C₃×#894	C₂²	1	1	yes	characteristic, complemented
94	C₃×#894	C₂²	1	1	yes	characteristic, complemented
95	C₃×#894	C₂²	1	1	yes	characteristic, complemented
96	C₃×#894	C₂²	1	1	yes	characteristic, complemented
97	C₃×#894	C₂²	1	1	yes	characteristic, complemented
98	C₃×#894	C₂²	1	1	yes	characteristic, complemented
99	C₃×#893	C₂²	1	1	yes	characteristic, complemented
100	C₃×#893	C₂²	1	1	yes	characteristic, complemented
101	C₃×#893	C₂²	1	1	yes	characteristic, complemented
102	C₃×#893	C₂²	1	1	yes	characteristic, complemented
103	C₃×#892	C₂²	1	1	yes	characteristic, complemented
104	C₃×#892	C₂²	1	1	yes	characteristic, complemented
105	C₃×#892	C₂²	1	1	yes	characteristic, complemented
106	C₃×#892	C₂²	1	1	yes	characteristic, complemented
107	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
108	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
109	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
110	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
111	C₃×#890	C₂²	1	1	yes	characteristic, complemented
112	C₃×#890	C₂²	1	1	yes	characteristic, complemented
113	C₃×#889	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×#889	C₂²	1	1	yes	characteristic, complemented
117	C₃×#889	C₂²	1	1	yes	characteristic, complemented
118	C₃×#889	C₂²	1	1	yes	characteristic, complemented
119	C₃×#888	C₂²	1	1	yes	characteristic, complemented
120	C₃×#888	C₂²	1	1	yes	characteristic, complemented
121	C₃×#887	C₂²	1	1	yes	characteristic, complemented
122	C₃×#887	C₂²	1	1	yes	characteristic, complemented
123	C₃×#887	C₂²	1	1	yes	characteristic, complemented
124	C₃×#887	C₂²	1	1	yes	characteristic, complemented
125	C₃×#886	C₂²	1	1	yes	characteristic, complemented
126	C₃×#886	C₂²	1	1	yes	characteristic, complemented
127	C₃×#885	C₂²	1	1	yes	characteristic
128	C₃×#885	C₂²	1	1	yes	characteristic
129	C₃×#885	C₂²	1	1	yes	characteristic
130	C₃×#885	C₂²	1	1	yes	characteristic
131	C₃×#885	C₂²	1	1	yes	characteristic
132	C₃×#885	C₂²	1	1	yes	characteristic, complemented
133	C₃×#884	C₂²	1	1	yes	characteristic
134	C₃×#884	C₂²	1	1	yes	characteristic
135	C₃×#884	C₂²	1	1	yes	characteristic
136	C₃×#884	C₂²	1	1	yes	characteristic
137	C₃×#884	C₂²	1	1	yes	characteristic
138	C₃×#884	C₂²	1	1	yes	characteristic, complemented
139	C₃×#883	C₂²	1	1	yes	characteristic
140	C₃×#883	C₂²	1	1	yes	characteristic
141	C₃×#883	C₂²	1	1	yes	characteristic
142	C₃×#883	C₂²	1	1	yes	characteristic
143	C₃×#883	C₂²	1	1	yes	characteristic
144	C₃×#883	C₂²	1	1	yes	characteristic, complemented
145	C₃×#882	C₂²	1	1	yes	characteristic
146	C₃×#882	C₂²	1	1	yes	characteristic
147	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
148	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
149	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
150	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
151	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
152	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
153	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
154	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
155	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
156	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
157	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
158	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
159	C₃×#879	C₂²	1	1	yes	characteristic
160	C₃×#879	C₂²	1	1	yes	characteristic
161	C₃×#879	C₂²	1	1	yes	characteristic
162	C₃×#879	C₂²	1	1	yes	characteristic
163	C₃×#879	C₂²	1	1	yes	characteristic
164	C₃×#879	C₂²	1	1	yes	characteristic, complemented
165	C₃×#878	C₂²	1	1	yes	characteristic
166	C₃×#878	C₂²	1	1	yes	characteristic
167	C₃×#878	C₂²	1	1	yes	characteristic, complemented
168	C₃×#878	C₂²	1	1	yes	characteristic, complemented
169	C₃×#877	C₂²	1	1	yes	characteristic
170	C₃×#877	C₂²	1	1	yes	characteristic
171	C₃×#877	C₂²	1	1	yes	characteristic, complemented
172	C₃×#877	C₂²	1	1	yes	characteristic, complemented
173	C₃×#876	C₂²	1	1	yes	characteristic, complemented
174	C₃×#876	C₂²	1	1	yes	characteristic, complemented
175	C₃×#875	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×C₄×D₁₂	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×C₄²×D₃	C₂²	1	1	yes	characteristic, complemented
184	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic, complemented
185	C₃×#870	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×#556	—	3	1	no	—
190	C₃×#556	—	3	1	no	—
191	C₃×#554	—	3	1	no	—
192	C₃×#553	—	3	1	no	—
193	C₃×#553	—	3	1	no	—
194	C₃×#553	—	3	1	no	—
195	C₃×#552	—	3	1	no	—
196	C₃×#552	—	3	1	no	—
197	C₃×#552	—	3	1	no	—
198	C₃×#551	—	3	1	no	—
199	C₃×#551	—	3	1	no	—
200	C₃×#551	—	3	1	no	—
201	C₃×#551	—	3	1	no	—
202	C₃×#547	—	3	1	no	—
203	C₃×#546	—	3	1	no	—
204	C₃×#546	—	3	1	no	—
205	C₃×#542	—	3	1	no	—
206	C₃×#541	—	3	1	no	—
207	C₃×#539	—	3	1	no	—
208	C₃×#539	—	3	1	no	—
209	C₃×#538	—	3	1	no	—
210	C₃×#538	—	3	1	no	—
211	C₃×#529	—	3	1	no	—
212	C₃×#529	—	3	1	no	—
213	C₃×#529	—	3	1	no	—
214	C₃×#529	—	3	1	no	—
215	C₂×C₃×#126	—	2	1	no	—
216	C₂×C₃×#126	—	3	1	no	—
217	C₂×C₃×#126	D₃	1	1	yes	characteristic, complemented
218	C₂×C₃×#126	C₂×C₃	1	1	yes	characteristic, complemented
219	C₃×#520	—	3	1	no	—
220	C₃×#518	—	3	1	no	—
221	C₃×C₄×#41	—	3	1	no	—
222	#5710	C₂×C₃	1	1	yes	characteristic, complemented
223	#5709	C₂×C₃	1	1	yes	characteristic, complemented
224	#5709	C₂×C₃	1	1	yes	characteristic, complemented
225	#5708	C₂×C₃	1	1	yes	characteristic, complemented
226	#5708	C₂×C₃	1	1	yes	characteristic, complemented
227	#5707	C₂×C₃	1	1	yes	characteristic, complemented
228	#5706	C₂×C₃	1	1	yes	characteristic, complemented
229	#5706	C₂×C₃	1	1	yes	characteristic, complemented
230	#5706	C₂×C₃	1	1	yes	characteristic, complemented
231	#5705	C₂×C₃	1	1	yes	characteristic, complemented
232	#5705	C₂×C₃	1	1	yes	characteristic, complemented
233	#5704	C₂×C₃	1	1	yes	characteristic, complemented
234	D₃×#126	C₂×C₃	1	1	yes	characteristic, complemented
235	#5702	C₂×C₃	1	1	yes	characteristic, complemented
236	#5702	C₂×C₃	1	1	yes	characteristic, complemented
237	#5701	C₂×C₃	1	1	yes	characteristic, complemented
238	#5515	C₂×C₃	1	1	yes	characteristic, complemented
239	#5514	C₂×C₃	1	1	yes	characteristic, complemented
240	#5513	C₂×C₃	1	1	yes	characteristic, complemented
241	#5511	C₂×C₃	1	1	yes	characteristic, complemented
242	#5507	C₂×C₃	1	1	yes	characteristic, complemented
243	#5504	C₂×C₃	1	1	yes	characteristic, complemented
244	#5495	C₂×C₃	1	1	yes	characteristic, complemented
245	#5495	C₂×C₃	1	1	yes	characteristic, complemented
246	#5494	C₂×C₃	1	1	yes	characteristic, complemented
247	#5490	C₂×C₃	1	1	yes	characteristic, complemented
248	#5490	C₂×C₃	1	1	yes	characteristic, complemented
249	#5486	C₂×C₃	1	1	yes	characteristic, complemented
250	#5479	C₂×C₃	1	1	yes	characteristic, complemented
251	C₄×#235	C₂×C₃	1	1	yes	characteristic, complemented
252	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
253	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
254	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
255	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
256	C₂²×C₃²×C₄	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	C₂×C₃×#67	—	2	4	no	—
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	C₂×C₃×#67	C₂³	1	1	yes	characteristic
270	C₂×C₃×#67	C₂³	1	1	yes	characteristic
271	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
272	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
273	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
274	C₃×#235	—	2	4	no	—
275	C₃×#235	—	2	4	no	—
276	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
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×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×C₄×D₃	C₂³	1	1	yes	characteristic
288	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
289	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
290	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
291	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
292	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
293	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
294	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
295	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
296	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
297	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
298	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
299	C₂×C₃×Dic₆	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×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
309	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	C₃²×C₄⋊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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₃²×C₄²	C₂³	1	1	yes	characteristic
325	C₃²×C₄²	C₂³	1	1	yes	characteristic
326	C₃²×C₄²	C₂³	1	1	yes	characteristic
327	C₃²×C₄²	C₂³	1	1	yes	characteristic
328	C₃×#217	C₂³	1	1	yes	characteristic
329	C₃×#217	C₂³	1	1	yes	characteristic
330	C₃×#217	C₂³	1	1	yes	characteristic
331	C₃×#217	C₂³	1	1	yes	characteristic
332	C₃×#217	C₂³	1	1	yes	characteristic
333	C₃×#217	C₂³	1	1	yes	characteristic
334	C₃×#217	C₂³	1	1	yes	characteristic
335	C₃×#217	C₂³	1	1	yes	characteristic
336	C₃×#217	C₂³	1	1	yes	characteristic
337	C₃×#217	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×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
363	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
364	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
365	C₃×C₄⋊Dic₃	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×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
373	C₃×Dic₃⋊C₄	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	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
408	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
409	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
410	#3521	—	3	1	no	Sylow
411	C₂×C₃×#41	—	3	1	no	—
412	C₂×C₃×#41	—	3	1	no	—
413	C₂²×C₃×D₄	—	3	1	no	—
414	C₂²×#67	C₂²×C₃	1	1	yes	characteristic
415	C₂×#235	C₂²×C₃	1	1	yes	characteristic
416	C₂×#235	C₂²×C₃	1	1	yes	characteristic
417	C₃×C₄⋊Q₈	—	3	1	no	—
418	C₃×C₄⋊Q₈	—	3	1	no	—
419	C₃×#126	—	2	1	no	—
420	C₃×#126	—	2	1	no	—
421	C₃×#126	—	2	1	no	—
422	C₃×#126	—	2	1	no	—
423	C₃×#126	—	2	1	no	—
424	C₃×#126	—	2	1	no	—
425	C₃×#126	—	2	1	no	—
426	C₃×#126	—	2	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	C₂×D₃	1	1	yes	characteristic
442	C₃×#126	C₂×D₃	1	1	yes	characteristic
443	C₃×#126	C₂×D₃	1	1	yes	characteristic
444	C₃×#126	C₂×D₃	1	1	yes	characteristic
445	C₃×#126	C₂×D₃	1	1	yes	characteristic, complemented
446	C₃×#126	C₂×D₃	1	1	yes	characteristic, complemented
447	C₃×#126	C₂×D₃	1	1	yes	characteristic, complemented
448	C₃×#126	C₂×D₃	1	1	yes	characteristic, complemented
449	C₃×#126	C₂²×C₃	1	1	yes	characteristic
450	C₃×#126	C₂²×C₃	1	1	yes	characteristic
451	C₃×#126	C₂²×C₃	1	1	yes	characteristic
452	C₃×#126	C₂²×C₃	1	1	yes	characteristic
453	C₃×#126	C₂²×C₃	1	1	yes	characteristic, complemented
454	C₃×#126	C₂²×C₃	1	1	yes	characteristic, complemented
455	C₃×#126	C₂²×C₃	1	1	yes	characteristic, complemented
456	C₃×#126	C₂²×C₃	1	1	yes	characteristic, complemented
457	C₃×#125	—	3	1	no	—
458	C₃×#125	—	3	1	no	—
459	C₃×#125	—	3	1	no	—
460	C₃×#125	—	3	1	no	—
461	C₃×#125	—	3	1	no	—
462	C₃×#125	—	3	1	no	—
463	C₃×#125	—	3	1	no	—
464	C₃×#125	—	3	1	no	—
465	C₃×#125	—	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×#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×C₂²⋊Q₈	—	3	1	no	—
492	C₃×C₂²⋊Q₈	—	3	1	no	—
493	C₃×C₂²⋊Q₈	—	3	1	no	—
494	C₃×C₂²⋊Q₈	—	3	1	no	—
495	C₃×C₂²⋊Q₈	—	3	1	no	—
496	C₃×C₂²⋊Q₈	—	3	1	no	—
497	C₃×C₂²⋊Q₈	—	3	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×#121	—	3	1	no	—
507	C₃×#121	—	3	1	no	—
508	C₃×#121	—	3	1	no	—
509	C₃×#121	—	3	1	no	—
510	C₃×#121	—	3	1	no	—
511	C₃×#121	—	3	1	no	—
512	C₃×#121	—	3	1	no	—
513	C₃×#121	—	3	1	no	—
514	C₃×#121	—	3	1	no	—
515	C₃×#121	—	3	1	no	—
516	C₃×#121	—	3	1	no	—
517	C₃×#120	—	3	1	no	—
518	C₃×#120	—	3	1	no	—
519	C₃×#120	—	3	1	no	—
520	C₃×#120	—	3	1	no	—
521	C₃×C₄×Q₈	—	3	1	no	—
522	C₃×C₄×Q₈	—	3	1	no	—
523	C₃×C₄×Q₈	—	3	1	no	—
524	C₃×C₄×Q₈	—	3	1	no	—
525	C₃×C₄×Q₈	—	3	1	no	—
526	C₃×C₄×Q₈	—	3	1	no	—
527	C₃×C₄×Q₈	—	3	1	no	—
528	C₃×C₄×D₄	—	3	1	no	—
529	C₃×C₄×D₄	—	3	1	no	—
530	C₃×C₄×D₄	—	3	1	no	—
531	C₃×C₄×D₄	—	3	1	no	—
532	C₃×C₄×D₄	—	3	1	no	—
533	C₃×C₄×D₄	—	3	1	no	—
534	C₃×C₄×D₄	—	3	1	no	—
535	C₃×C₄×D₄	—	3	1	no	—
536	C₃×C₄×D₄	—	3	1	no	—
537	C₃×C₄×D₄	—	3	1	no	—
538	C₃×C₄×D₄	—	3	1	no	—
539	C₃×C₄×D₄	—	3	1	no	—
540	C₃×C₄×D₄	—	3	1	no	—
541	C₃×C₄×D₄	—	3	1	no	—
542	C₃×C₄×D₄	—	3	1	no	—
543	C₃×C₄×D₄	—	3	1	no	—
544	C₃×C₄×D₄	—	3	1	no	—
545	C₃×C₄×D₄	—	3	1	no	—
546	C₃×C₄×D₄	—	3	1	no	—
547	C₃×C₄×D₄	—	3	1	no	—
548	C₃×C₄×D₄	—	3	1	no	—
549	C₃×C₄×D₄	—	3	1	no	—
550	C₃×C₄×D₄	—	3	1	no	—
551	C₃×C₄×D₄	—	3	1	no	—
552	C₃×C₄×D₄	—	3	1	no	—
553	C₃×#117	—	3	1	no	—
554	C₃×#117	—	3	1	no	—
555	C₃×#117	—	3	1	no	—
556	C₃×#117	—	3	1	no	—
557	C₃×#117	—	3	1	no	—
558	C₃×#117	—	3	1	no	—
559	C₃×#117	—	3	1	no	—
560	C₃×#117	—	3	1	no	—
561	C₃×#117	—	3	1	no	—
562	C₃×#117	—	3	1	no	—
563	C₃×#117	—	3	1	no	—
564	C₃×#117	—	3	1	no	—
565	C₃×#117	—	3	1	no	—
566	C₃×#117	—	3	1	no	—
567	C₂×C₃×C₄⋊C₄	—	2	1	no	—
568	C₂×C₃×C₄⋊C₄	—	2	1	no	—
569	C₂×C₃×C₄⋊C₄	—	2	1	no	—
570	C₂×C₃×C₄⋊C₄	—	3	1	no	—
571	C₂×C₃×C₄⋊C₄	—	3	1	no	—
572	C₂×C₃×C₄⋊C₄	—	3	1	no	—
573	C₂×C₃×C₄⋊C₄	—	3	1	no	—
574	C₂×C₃×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
575	C₂×C₃×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
576	C₂×C₃×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
577	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
578	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
579	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
580	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
581	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
582	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
583	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
584	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
585	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
586	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
587	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
588	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
589	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
590	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
591	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
592	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
593	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
594	C₂×C₃×C₄²	—	2	1	no	—
595	C₂×C₃×C₄²	—	3	1	no	—
596	C₂×C₃×C₄²	—	3	1	no	—
597	C₂×C₃×C₄²	C₂×D₃	1	1	yes	characteristic, complemented
598	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic, complemented
599	#953	C₂²×C₃	1	1	yes	characteristic
600	#953	C₂²×C₃	1	1	yes	characteristic
601	C₂×#217	C₂²×C₃	1	1	yes	characteristic
602	#930	C₂²×C₃	1	1	yes	characteristic
603	#930	C₂²×C₃	1	1	yes	characteristic
604	#930	C₂²×C₃	1	1	yes	characteristic, complemented
605	#929	C₂²×C₃	1	1	yes	characteristic
606	#929	C₂²×C₃	1	1	yes	characteristic
607	#929	C₂²×C₃	1	1	yes	characteristic, complemented
608	#929	C₂²×C₃	1	1	yes	characteristic, complemented
609	C₄×#67	C₂²×C₃	1	1	yes	characteristic
610	C₄×#67	C₂²×C₃	1	1	yes	characteristic
611	C₄×#67	C₂²×C₃	1	1	yes	characteristic
612	C₄×#67	C₂²×C₃	1	1	yes	characteristic
613	C₄×#67	C₂²×C₃	1	1	yes	characteristic
614	C₄×#67	C₂²×C₃	1	1	yes	characteristic
615	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
616	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
617	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
618	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
619	#926	C₂²×C₃	1	1	yes	characteristic, complemented
620	#926	C₂²×C₃	1	1	yes	characteristic, complemented
621	#924	C₂²×C₃	1	1	yes	characteristic, complemented
622	#924	C₂²×C₃	1	1	yes	characteristic, complemented
623	#924	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	#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	#895	C₂²×C₃	1	1	yes	characteristic, complemented
639	#895	C₂²×C₃	1	1	yes	characteristic, complemented
640	#894	C₂²×C₃	1	1	yes	characteristic, complemented
641	#894	C₂²×C₃	1	1	yes	characteristic, complemented
642	#894	C₂²×C₃	1	1	yes	characteristic, complemented
643	#894	C₂²×C₃	1	1	yes	characteristic, complemented
644	#894	C₂²×C₃	1	1	yes	characteristic, complemented
645	#894	C₂²×C₃	1	1	yes	characteristic, complemented
646	#893	C₂²×C₃	1	1	yes	characteristic, complemented
647	#893	C₂²×C₃	1	1	yes	characteristic, complemented
648	#893	C₂²×C₃	1	1	yes	characteristic, complemented
649	#893	C₂²×C₃	1	1	yes	characteristic, complemented
650	#892	C₂²×C₃	1	1	yes	characteristic, complemented
651	#892	C₂²×C₃	1	1	yes	characteristic, complemented
652	#892	C₂²×C₃	1	1	yes	characteristic, complemented
653	#892	C₂²×C₃	1	1	yes	characteristic, complemented
654	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
655	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
656	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
657	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
658	#890	C₂²×C₃	1	1	yes	characteristic, complemented
659	#890	C₂²×C₃	1	1	yes	characteristic, complemented
660	#889	C₂²×C₃	1	1	yes	characteristic, complemented
661	#889	C₂²×C₃	1	1	yes	characteristic, complemented
662	#889	C₂²×C₃	1	1	yes	characteristic, complemented
663	#889	C₂²×C₃	1	1	yes	characteristic, complemented
664	#889	C₂²×C₃	1	1	yes	characteristic, complemented
665	#889	C₂²×C₃	1	1	yes	characteristic, complemented
666	#888	C₂²×C₃	1	1	yes	characteristic, complemented
667	#888	C₂²×C₃	1	1	yes	characteristic, complemented
668	#887	C₂²×C₃	1	1	yes	characteristic, complemented
669	#887	C₂²×C₃	1	1	yes	characteristic, complemented
670	#887	C₂²×C₃	1	1	yes	characteristic, complemented
671	#887	C₂²×C₃	1	1	yes	characteristic, complemented
672	#886	C₂²×C₃	1	1	yes	characteristic, complemented
673	#886	C₂²×C₃	1	1	yes	characteristic, complemented
674	#885	C₂²×C₃	1	1	yes	characteristic
675	#885	C₂²×C₃	1	1	yes	characteristic
676	#885	C₂²×C₃	1	1	yes	characteristic
677	#885	C₂²×C₃	1	1	yes	characteristic
678	#885	C₂²×C₃	1	1	yes	characteristic
679	#885	C₂²×C₃	1	1	yes	characteristic, complemented
680	#884	C₂²×C₃	1	1	yes	characteristic
681	#884	C₂²×C₃	1	1	yes	characteristic
682	#884	C₂²×C₃	1	1	yes	characteristic
683	#884	C₂²×C₃	1	1	yes	characteristic
684	#884	C₂²×C₃	1	1	yes	characteristic
685	#884	C₂²×C₃	1	1	yes	characteristic, complemented
686	#883	C₂²×C₃	1	1	yes	characteristic
687	#883	C₂²×C₃	1	1	yes	characteristic
688	#883	C₂²×C₃	1	1	yes	characteristic
689	#883	C₂²×C₃	1	1	yes	characteristic
690	#883	C₂²×C₃	1	1	yes	characteristic
691	#883	C₂²×C₃	1	1	yes	characteristic, complemented
692	#882	C₂²×C₃	1	1	yes	characteristic
693	#882	C₂²×C₃	1	1	yes	characteristic
694	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
695	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
696	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
697	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
698	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
699	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
700	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
701	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
702	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
703	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
704	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
705	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
706	#879	C₂²×C₃	1	1	yes	characteristic
707	#879	C₂²×C₃	1	1	yes	characteristic
708	#879	C₂²×C₃	1	1	yes	characteristic
709	#879	C₂²×C₃	1	1	yes	characteristic
710	#879	C₂²×C₃	1	1	yes	characteristic
711	#879	C₂²×C₃	1	1	yes	characteristic, complemented
712	#878	C₂²×C₃	1	1	yes	characteristic
713	#878	C₂²×C₃	1	1	yes	characteristic
714	#878	C₂²×C₃	1	1	yes	characteristic, complemented
715	#878	C₂²×C₃	1	1	yes	characteristic, complemented
716	#877	C₂²×C₃	1	1	yes	characteristic
717	#877	C₂²×C₃	1	1	yes	characteristic
718	#877	C₂²×C₃	1	1	yes	characteristic, complemented
719	#877	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, complemented
723	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
724	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
725	C₄×D₁₂	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	#872	C₂²×C₃	1	1	yes	characteristic, complemented
729	#872	C₂²×C₃	1	1	yes	characteristic, complemented
730	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
731	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
732	#870	C₂²×C₃	1	1	yes	characteristic, complemented
733	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
734	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
735	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
736	C₂³×C₃²	—	2	2	no	—
737	C₂³×C₃²	—	4	1	no	—
738	C₂³×C₃²	—	4	1	no	—
739	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
740	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
741	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
742	C₂²×C₃×D₃	—	2	2	no	—
743	C₂²×C₃×D₃	—	4	1	no	—
744	C₂²×C₃×D₃	—	4	1	no	—
745	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
746	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
747	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
748	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
749	C₂×C₃²×C₄	—	2	2	no	—
750	C₂×C₃²×C₄	—	2	2	no	—
751	C₂×C₃²×C₄	—	4	1	no	—
752	C₂×C₃²×C₄	—	4	1	no	—
753	C₂×C₃²×C₄	—	4	1	no	—
754	C₂×C₃²×C₄	—	4	1	no	—
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	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
766	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
767	C₃×#67	—	2	2	no	—
768	C₃×#67	—	2	2	no	—
769	C₃×#67	—	2	2	no	—
770	C₃×#67	—	2	2	no	—
771	C₃×#67	—	2	2	no	—
772	C₃×#67	—	4	1	no	—
773	C₃×#67	—	4	1	no	—
774	C₃×#67	—	4	1	no	—
775	C₃×#67	—	4	1	no	—
776	C₃×#67	#41	1	4	yes	—
777	C₂×C₃×Dic₃	—	2	2	no	—
778	C₂×C₃×Dic₃	—	4	1	no	—
779	C₂×C₃×Dic₃	—	4	1	no	—
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	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
785	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
786	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
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	C₃×D₁₂	—	2	2	no	—
793	C₃×D₁₂	—	2	2	no	—
794	C₃×D₁₂	—	4	1	no	—
795	C₃×D₁₂	—	4	1	no	—
796	C₃×D₁₂	—	4	1	no	—
797	C₃×C₄×D₃	—	2	2	no	—
798	C₃×C₄×D₃	—	2	2	no	—
799	C₃×C₄×D₃	—	2	2	no	—
800	C₃×C₄×D₃	—	2	2	no	—
801	C₃×C₄×D₃	—	4	1	no	—
802	C₃×C₄×D₃	—	4	1	no	—
803	C₃×C₄×D₃	—	4	1	no	—
804	C₃×C₄×D₃	—	4	1	no	—
805	C₃×C₄×D₃	—	4	1	no	—
806	C₃×C₄×D₃	—	4	1	no	—
807	C₃×C₄×D₃	—	4	1	no	—
808	C₃×C₄×D₃	—	4	1	no	—
809	C₃×C₄×D₃	—	4	1	no	—
810	C₃×C₄×D₃	—	4	1	no	—
811	C₃×Dic₆	—	2	2	no	—
812	C₃×Dic₆	—	2	2	no	—
813	C₃×Dic₆	—	4	1	no	—
814	C₃×Dic₆	—	4	1	no	—
815	C₃×Dic₆	—	4	1	no	—
816	#556	—	3	1	no	—
817	#556	—	3	1	no	—
818	#554	—	3	1	no	—
819	#553	—	3	1	no	—
820	#553	—	3	1	no	—
821	#553	—	3	1	no	—
822	#552	—	3	1	no	—
823	#552	—	3	1	no	—
824	#552	—	3	1	no	—
825	#551	—	3	1	no	—
826	#551	—	3	1	no	—
827	#551	—	3	1	no	—
828	#551	—	3	1	no	—
829	#547	—	3	1	no	—
830	#546	—	3	1	no	—
831	#546	—	3	1	no	—
832	#542	—	3	1	no	—
833	#541	—	3	1	no	—
834	#539	—	3	1	no	—
835	#539	—	3	1	no	—
836	#538	—	3	1	no	—
837	#538	—	3	1	no	—
838	#529	—	3	1	no	—
839	#529	—	3	1	no	—
840	#529	—	3	1	no	—
841	#529	—	3	1	no	—
842	C₂×#126	—	3	1	no	—
843	C₂×#126	C₃×D₃	1	1	yes	characteristic, complemented
844	#520	—	3	1	no	—
845	#518	—	3	1	no	—
846	C₄×#41	—	3	1	no	—
847	C₂⁴×C₃	—	2	1	no	—
848	C₂⁴×C₃	—	3	1	no	—
849	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
850	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
851	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
852	C₃×#41	—	6	4	no	—
853	C₃×#41	—	6	4	no	—
854	C₂×C₃×Q₈	—	3	1	no	—
855	C₂×C₃×Q₈	—	3	1	no	—
856	C₂×C₃×Q₈	—	3	1	no	—
857	C₂×C₃×Q₈	—	3	1	no	—
858	C₂×C₃×Q₈	—	3	1	no	—
859	C₂×C₃×D₄	—	3	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	—	6	4	no	—
875	C₂²×C₃×C₄	—	2	1	no	—
876	C₂²×C₃×C₄	—	2	1	no	—
877	C₂²×C₃×C₄	—	2	1	no	—
878	C₂²×C₃×C₄	—	2	1	no	—
879	C₂²×C₃×C₄	—	2	1	no	—
880	C₂²×C₃×C₄	—	2	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	—	3	1	no	—
892	C₂²×C₃×C₄	—	3	1	no	—
893	C₂²×C₃×C₄	—	3	1	no	—
894	C₂²×C₃×C₄	—	3	1	no	—
895	C₂²×C₃×C₄	—	3	1	no	—
896	C₂²×C₃×C₄	—	3	1	no	—
897	C₂²×C₃×C₄	—	3	1	no	—
898	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
899	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
900	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
901	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
902	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
903	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
904	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
905	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
906	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
907	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
908	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
909	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
910	C₂×#67	—	2	4	no	—
911	C₂×#67	C₂³×C₃	1	1	yes	characteristic
912	C₂×#67	C₂³×C₃	1	1	yes	characteristic
913	C₂×#67	C₂³×C₃	1	1	yes	characteristic
914	C₂×#67	C₂³×C₃	1	1	yes	characteristic
915	C₂×#67	C₂³×C₃	1	1	yes	characteristic
916	C₂×#67	C₂³×C₃	1	1	yes	characteristic
917	C₂×#67	C₂³×C₃	1	1	yes	characteristic
918	C₂×#67	C₂³×C₃	1	1	yes	characteristic
919	C₂×#67	C₂³×C₃	1	1	yes	characteristic
920	C₂×#67	C₂³×C₃	1	1	yes	characteristic
921	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
922	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
923	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
924	#235	—	2	4	no	—
925	#235	—	2	4	no	—
926	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
927	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
928	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
929	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
930	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
931	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
932	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
933	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
934	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
935	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
936	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
937	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
938	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
939	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
940	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
941	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
942	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
943	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
944	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
945	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
946	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
947	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
948	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
949	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
950	C₃×C₄⋊C₄	—	2	1	no	—
951	C₃×C₄⋊C₄	—	2	1	no	—
952	C₃×C₄⋊C₄	—	2	1	no	—
953	C₃×C₄⋊C₄	—	2	1	no	—
954	C₃×C₄⋊C₄	—	2	1	no	—
955	C₃×C₄⋊C₄	—	2	1	no	—
956	C₃×C₄⋊C₄	—	2	1	no	—
957	C₃×C₄⋊C₄	—	2	1	no	—
958	C₃×C₄⋊C₄	—	2	1	no	—
959	C₃×C₄⋊C₄	—	2	1	no	—
960	C₃×C₄⋊C₄	—	2	1	no	—
961	C₃×C₄⋊C₄	—	2	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	—	3	1	no	—
971	C₃×C₄⋊C₄	—	3	1	no	—
972	C₃×C₄⋊C₄	—	3	1	no	—
973	C₃×C₄⋊C₄	—	3	1	no	—
974	C₃×C₄⋊C₄	—	3	1	no	—
975	C₃×C₄⋊C₄	—	3	1	no	—
976	C₃×C₄⋊C₄	—	3	1	no	—
977	C₃×C₄⋊C₄	—	3	1	no	—
978	C₃×C₄⋊C₄	—	3	1	no	—
979	C₃×C₄⋊C₄	—	3	1	no	—
980	C₃×C₄⋊C₄	—	3	1	no	—
981	C₃×C₄⋊C₄	—	3	1	no	—
982	C₃×C₄⋊C₄	—	3	1	no	—
983	C₃×C₄⋊C₄	—	3	1	no	—
984	C₃×C₄⋊C₄	—	3	1	no	—
985	C₃×C₄⋊C₄	—	3	1	no	—
986	C₃×C₄⋊C₄	—	3	1	no	—
987	C₃×C₄⋊C₄	—	3	1	no	—
988	C₃×C₄⋊C₄	—	3	1	no	—
989	C₃×C₄⋊C₄	—	3	1	no	—
990	C₃×C₄⋊C₄	—	3	1	no	—
991	C₃×C₄⋊C₄	—	3	1	no	—
992	C₃×C₄⋊C₄	—	3	1	no	—
993	C₃×C₄⋊C₄	—	3	1	no	—
994	C₃×C₄⋊C₄	—	3	1	no	—
995	C₃×C₄⋊C₄	—	3	1	no	—
996	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
997	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
998	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
999	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1000	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1001	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1002	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1003	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1004	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1005	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1006	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1007	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1008	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1009	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1010	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1011	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1012	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1013	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1014	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1015	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1016	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1017	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1018	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1019	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1020	C₃×C₂²⋊C₄	—	2	1	no	—
1021	C₃×C₂²⋊C₄	—	2	1	no	—
1022	C₃×C₂²⋊C₄	—	2	1	no	—
1023	C₃×C₂²⋊C₄	—	2	1	no	—
1024	C₃×C₂²⋊C₄	—	2	1	no	—
1025	C₃×C₂²⋊C₄	—	2	1	no	—
1026	C₃×C₂²⋊C₄	—	2	1	no	—
1027	C₃×C₂²⋊C₄	—	2	1	no	—
1028	C₃×C₂²⋊C₄	—	2	1	no	—
1029	C₃×C₂²⋊C₄	—	2	1	no	—
1030	C₃×C₂²⋊C₄	—	2	1	no	—
1031	C₃×C₂²⋊C₄	—	2	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	—	3	1	no	—
1049	C₃×C₂²⋊C₄	—	3	1	no	—
1050	C₃×C₂²⋊C₄	—	3	1	no	—
1051	C₃×C₂²⋊C₄	—	3	1	no	—
1052	C₃×C₂²⋊C₄	—	3	1	no	—
1053	C₃×C₂²⋊C₄	—	3	1	no	—
1054	C₃×C₂²⋊C₄	—	3	1	no	—
1055	C₃×C₂²⋊C₄	—	3	1	no	—
1056	C₃×C₂²⋊C₄	—	3	1	no	—
1057	C₃×C₂²⋊C₄	—	3	1	no	—
1058	C₃×C₂²⋊C₄	—	3	1	no	—
1059	C₃×C₂²⋊C₄	—	3	1	no	—
1060	C₃×C₂²⋊C₄	—	3	1	no	—
1061	C₃×C₂²⋊C₄	—	3	1	no	—
1062	C₃×C₂²⋊C₄	—	3	1	no	—
1063	C₃×C₂²⋊C₄	—	3	1	no	—
1064	C₃×C₂²⋊C₄	—	3	1	no	—
1065	C₃×C₂²⋊C₄	—	3	1	no	—
1066	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1067	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1068	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1069	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1070	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1071	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1072	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1073	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1074	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1075	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1076	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1077	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1078	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1079	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1080	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1081	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1082	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1083	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1084	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1085	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1086	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1087	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1088	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1089	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1090	C₃×C₄²	—	2	1	no	—
1091	C₃×C₄²	—	2	1	no	—
1092	C₃×C₄²	—	2	1	no	—
1093	C₃×C₄²	—	2	1	no	—
1094	C₃×C₄²	—	3	1	no	—
1095	C₃×C₄²	—	3	1	no	—
1096	C₃×C₄²	—	3	1	no	—
1097	C₃×C₄²	—	3	1	no	—
1098	C₃×C₄²	—	3	1	no	—
1099	C₃×C₄²	—	3	1	no	—
1100	C₃×C₄²	—	3	1	no	—
1101	C₃×C₄²	—	3	1	no	—
1102	C₃×C₄²	—	3	1	no	—
1103	C₃×C₄²	—	3	1	no	—
1104	C₃×C₄²	—	3	1	no	—
1105	C₃×C₄²	—	3	1	no	—
1106	C₃×C₄²	—	3	1	no	—
1107	C₃×C₄²	—	3	1	no	—
1108	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1109	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1110	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1111	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1112	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1113	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1114	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1115	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1116	#217	C₂³×C₃	1	1	yes	characteristic
1117	#217	C₂³×C₃	1	1	yes	characteristic
1118	#217	C₂³×C₃	1	1	yes	characteristic
1119	#217	C₂³×C₃	1	1	yes	characteristic
1120	#217	C₂³×C₃	1	1	yes	characteristic
1121	#217	C₂³×C₃	1	1	yes	characteristic
1122	#217	C₂³×C₃	1	1	yes	characteristic
1123	#217	C₂³×C₃	1	1	yes	characteristic
1124	#217	C₂³×C₃	1	1	yes	characteristic
1125	#217	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	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1145	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1146	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1147	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1148	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1149	(C₂×D₃)⋊C₄	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	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1153	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1154	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1155	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1156	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1157	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1158	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1159	C₄⋊Dic₃	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	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1175	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1176	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1177	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1178	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1179	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1180	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1181	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1182	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1183	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1184	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1185	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1186	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1187	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1188	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1189	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1190	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1191	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1192	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1193	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1194	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1195	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1196	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1197	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1198	C₂²×C₃²	—	2	1	no	—
1199	C₂²×C₃²	—	2	1	no	—
1200	C₂²×C₃²	—	2	1	no	—
1201	C₂²×C₃²	—	2	1	no	—
1202	C₂²×C₃²	—	2	1	no	—
1203	C₂²×C₃²	—	2	1	no	—
1204	C₂²×C₃²	—	2	1	no	—
1205	C₂²×C₃²	—	2	1	no	—
1206	C₂²×C₃²	—	8	2	no	—
1207	C₂²×C₃²	C₂×#41	1	2	yes	—
1208	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
1209	C₂×C₃×D₃	—	2	1	no	—
1210	C₂×C₃×D₃	—	2	1	no	—
1211	C₂×C₃×D₃	—	2	1	no	—
1212	C₂×C₃×D₃	—	2	1	no	—
1213	C₂×C₃×D₃	—	2	1	no	—
1214	C₂×C₃×D₃	—	2	1	no	—
1215	C₂×C₃×D₃	—	2	1	no	—
1216	C₂×C₃×D₃	—	2	1	no	—
1217	C₂×C₃×D₃	—	2	1	no	—
1218	C₂×C₃×D₃	—	2	1	no	—
1219	C₂×C₃×D₃	—	2	1	no	—
1220	C₂×C₃×D₃	—	8	2	no	—
1221	C₂×C₃×D₃	C₂×#41	1	2	yes	—
1222	C₃²×C₄	—	2	1	no	—
1223	C₃²×C₄	—	2	1	no	—
1224	C₃²×C₄	—	2	1	no	—
1225	C₃²×C₄	—	2	1	no	—
1226	C₃²×C₄	—	2	1	no	—
1227	C₃²×C₄	—	2	1	no	—
1228	C₃²×C₄	—	2	1	no	—
1229	C₃²×C₄	—	2	1	no	—
1230	C₃²×C₄	—	2	1	no	—
1231	C₃²×C₄	—	2	1	no	—
1232	C₃²×C₄	—	2	1	no	—
1233	C₃²×C₄	—	2	1	no	—
1234	C₃×Dic₃	—	2	1	no	—
1235	C₃×Dic₃	—	2	1	no	—
1236	C₃×Dic₃	—	2	1	no	—
1237	C₃×Dic₃	—	2	1	no	—
1238	C₃×Dic₃	—	2	1	no	—
1239	C₃×Dic₃	—	2	1	no	—
1240	C₃×Dic₃	—	2	1	no	—
1241	C₃×Dic₃	—	2	1	no	—
1242	C₃×Dic₃	—	2	1	no	—
1243	C₃×Dic₃	—	2	1	no	—
1244	C₃×Dic₃	—	2	1	no	—
1245	C₃×Dic₃	C₂×#41	1	2	yes	—
1246	C₂×#41	—	3	1	no	—
1247	C₂×#41	—	3	1	no	—
1248	C₂²×D₄	—	3	1	no	—
1249	C₄⋊Q₈	—	3	1	no	—
1250	C₄⋊Q₈	—	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	—	3	1	no	—
1262	#126	—	3	1	no	—
1263	#126	—	3	1	no	—
1264	#126	—	3	1	no	—
1265	#126	C₂×C₃×D₃	1	1	yes	characteristic
1266	#126	C₂×C₃×D₃	1	1	yes	characteristic
1267	#126	C₂×C₃×D₃	1	1	yes	characteristic
1268	#126	C₂×C₃×D₃	1	1	yes	characteristic
1269	#126	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1270	#126	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1271	#126	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1272	#126	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1273	#125	—	3	1	no	—
1274	#125	—	3	1	no	—
1275	#125	—	3	1	no	—
1276	#125	—	3	1	no	—
1277	#125	—	3	1	no	—
1278	#125	—	3	1	no	—
1279	#125	—	3	1	no	—
1280	#125	—	3	1	no	—
1281	#125	—	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	—	3	1	no	—
1288	#124	—	3	1	no	—
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	#121	—	3	1	no	—
1323	#121	—	3	1	no	—
1324	#121	—	3	1	no	—
1325	#121	—	3	1	no	—
1326	#121	—	3	1	no	—
1327	#121	—	3	1	no	—
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	#120	—	3	1	no	—
1334	#120	—	3	1	no	—
1335	#120	—	3	1	no	—
1336	#120	—	3	1	no	—
1337	C₄×Q₈	—	3	1	no	—
1338	C₄×Q₈	—	3	1	no	—
1339	C₄×Q₈	—	3	1	no	—
1340	C₄×Q₈	—	3	1	no	—
1341	C₄×Q₈	—	3	1	no	—
1342	C₄×Q₈	—	3	1	no	—
1343	C₄×Q₈	—	3	1	no	—
1344	C₄×D₄	—	3	1	no	—
1345	C₄×D₄	—	3	1	no	—
1346	C₄×D₄	—	3	1	no	—
1347	C₄×D₄	—	3	1	no	—
1348	C₄×D₄	—	3	1	no	—
1349	C₄×D₄	—	3	1	no	—
1350	C₄×D₄	—	3	1	no	—
1351	C₄×D₄	—	3	1	no	—
1352	C₄×D₄	—	3	1	no	—
1353	C₄×D₄	—	3	1	no	—
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	—	3	1	no	—
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	—	3	1	no	—
1380	#117	—	3	1	no	—
1381	#117	—	3	1	no	—
1382	#117	—	3	1	no	—
1383	C₂×C₄⋊C₄	—	3	1	no	—
1384	C₂×C₄⋊C₄	—	3	1	no	—
1385	C₂×C₄⋊C₄	—	3	1	no	—
1386	C₂×C₄⋊C₄	—	3	1	no	—
1387	C₂×C₄⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1388	C₂×C₄⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1389	C₂×C₄⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1390	C₂×C₂²⋊C₄	—	3	1	no	—
1391	C₂×C₂²⋊C₄	—	3	1	no	—
1392	C₂×C₂²⋊C₄	—	3	1	no	—
1393	C₂×C₂²⋊C₄	—	3	1	no	—
1394	C₂×C₂²⋊C₄	—	3	1	no	—
1395	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic
1396	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic
1397	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic
1398	C₂×C₄²	—	3	1	no	—
1399	C₂×C₄²	—	3	1	no	—
1400	C₂×C₄²	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1401	C₂³×C₃	—	2	2	no	—
1402	C₂³×C₃	—	2	2	no	—
1403	C₂³×C₃	—	2	1	no	—
1404	C₂³×C₃	—	2	1	no	—
1405	C₂³×C₃	—	2	1	no	—
1406	C₂³×C₃	—	3	1	no	—
1407	C₂³×C₃	—	3	1	no	—
1408	C₂³×C₃	—	3	1	no	—
1409	C₂³×C₃	—	3	1	no	—
1410	C₂³×C₃	—	4	2	no	—
1411	C₂³×C₃	—	4	1	no	—
1412	C₂³×C₃	—	4	1	no	—
1413	C₂³×C₃	—	4	1	no	—
1414	C₂³×C₃	—	4	1	no	—
1415	C₂³×C₃	—	4	2	no	—
1416	C₂³×C₃	—	4	2	no	—
1417	C₂³×C₃	—	6	2	no	—
1418	C₂³×C₃	—	12	1	no	—
1419	C₂³×C₃	—	12	1	no	—
1420	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1421	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1422	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1423	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1424	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1425	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1426	C₂²×D₃	—	2	2	no	—
1427	C₂²×D₃	—	4	1	no	—
1428	C₂²×D₃	—	4	1	no	—
1429	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1430	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1431	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1432	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1433	C₃×Q₈	—	6	2	no	—
1434	C₃×Q₈	—	6	2	no	—
1435	C₃×Q₈	—	12	1	no	—
1436	C₃×Q₈	—	12	1	no	—
1437	C₃×Q₈	—	12	1	no	—
1438	C₃×D₄	—	3	4	no	—
1439	C₃×D₄	—	6	2	no	—
1440	C₃×D₄	—	6	2	no	—
1441	C₃×D₄	—	6	2	no	—
1442	C₃×D₄	—	6	2	no	—
1443	C₃×D₄	—	6	2	no	—
1444	C₃×D₄	—	6	2	no	—
1445	C₃×D₄	—	6	2	no	—
1446	C₃×D₄	—	12	1	no	—
1447	C₃×D₄	—	12	1	no	—
1448	C₃×D₄	—	12	1	no	—
1449	C₃×D₄	—	12	1	no	—
1450	C₃×D₄	—	12	1	no	—
1451	C₃×D₄	—	12	1	no	—
1452	C₃×D₄	—	12	1	no	—
1453	C₂×C₃×C₄	—	2	2	no	—
1454	C₂×C₃×C₄	—	2	2	no	—
1455	C₂×C₃×C₄	—	2	2	no	—
1456	C₂×C₃×C₄	—	2	2	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	—	2	1	no	—
1462	C₂×C₃×C₄	—	2	1	no	—
1463	C₂×C₃×C₄	—	2	1	no	—
1464	C₂×C₃×C₄	—	2	1	no	—
1465	C₂×C₃×C₄	—	2	1	no	—
1466	C₂×C₃×C₄	—	2	1	no	—
1467	C₂×C₃×C₄	—	2	1	no	—
1468	C₂×C₃×C₄	—	2	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	—	3	1	no	—
1473	C₂×C₃×C₄	—	3	1	no	—
1474	C₂×C₃×C₄	—	3	1	no	—
1475	C₂×C₃×C₄	—	3	1	no	—
1476	C₂×C₃×C₄	—	3	1	no	—
1477	C₂×C₃×C₄	—	3	1	no	—
1478	C₂×C₃×C₄	—	3	1	no	—
1479	C₂×C₃×C₄	—	3	1	no	—
1480	C₂×C₃×C₄	—	3	1	no	—
1481	C₂×C₃×C₄	—	4	2	no	—
1482	C₂×C₃×C₄	—	4	2	no	—
1483	C₂×C₃×C₄	—	4	1	no	—
1484	C₂×C₃×C₄	—	4	1	no	—
1485	C₂×C₃×C₄	—	4	1	no	—
1486	C₂×C₃×C₄	—	4	1	no	—
1487	C₂×C₃×C₄	—	4	1	no	—
1488	C₂×C₃×C₄	—	4	1	no	—
1489	C₂×C₃×C₄	—	4	1	no	—
1490	C₂×C₃×C₄	—	4	1	no	—
1491	C₂×C₃×C₄	—	4	2	no	—
1492	C₂×C₃×C₄	—	4	2	no	—
1493	C₂×C₃×C₄	—	4	2	no	—
1494	C₂×C₃×C₄	—	4	2	no	—
1495	C₂×C₃×C₄	—	6	2	no	—
1496	C₂×C₃×C₄	—	6	2	no	—
1497	C₂×C₃×C₄	—	6	2	no	—
1498	C₂×C₃×C₄	—	6	2	no	—
1499	C₂×C₃×C₄	—	6	2	no	—
1500	C₂×C₃×C₄	—	12	1	no	—
1501	C₂×C₃×C₄	—	12	1	no	—
1502	C₂×C₃×C₄	—	12	1	no	—
1503	C₂×C₃×C₄	—	12	1	no	—
1504	C₂×C₃×C₄	—	12	1	no	—
1505	C₂×C₃×C₄	—	12	1	no	—
1506	C₂×C₃×C₄	—	12	1	no	—
1507	C₂×C₃×C₄	—	12	1	no	—
1508	C₂×C₃×C₄	—	12	1	no	—
1509	C₂×C₃×C₄	—	12	1	no	—
1510	C₂×C₃×C₄	—	12	1	no	—
1511	C₂×C₃×C₄	—	12	1	no	—
1512	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1513	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1514	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1515	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1516	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1517	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1518	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1519	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1520	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1521	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1522	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1523	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1524	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1525	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1526	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1527	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1528	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1529	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1530	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1531	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1532	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1533	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1534	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1535	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1536	#67	—	2	2	no	—
1537	#67	—	2	2	no	—
1538	#67	—	2	2	no	—
1539	#67	—	2	2	no	—
1540	#67	—	2	2	no	—
1541	#67	—	4	1	no	—
1542	#67	—	4	1	no	—
1543	#67	—	4	1	no	—
1544	#67	—	4	1	no	—
1545	#67	C₃×#41	1	4	yes	—
1546	C₂×Dic₃	—	2	2	no	—
1547	C₂×Dic₃	—	4	1	no	—
1548	C₂×Dic₃	—	4	1	no	—
1549	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1550	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1551	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1552	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1553	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1554	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1555	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1556	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1557	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1558	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1559	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1560	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1561	D₁₂	—	2	2	no	—
1562	D₁₂	—	2	2	no	—
1563	D₁₂	—	4	1	no	—
1564	D₁₂	—	4	1	no	—
1565	D₁₂	—	4	1	no	—
1566	C₄×D₃	—	2	2	no	—
1567	C₄×D₃	—	2	2	no	—
1568	C₄×D₃	—	2	2	no	—
1569	C₄×D₃	—	2	2	no	—
1570	C₄×D₃	—	4	1	no	—
1571	C₄×D₃	—	4	1	no	—
1572	C₄×D₃	—	4	1	no	—
1573	C₄×D₃	—	4	1	no	—
1574	C₄×D₃	—	4	1	no	—
1575	C₄×D₃	—	4	1	no	—
1576	C₄×D₃	—	4	1	no	—
1577	C₄×D₃	—	4	1	no	—
1578	C₄×D₃	—	4	1	no	—
1579	C₄×D₃	—	4	1	no	—
1580	Dic₆	—	2	2	no	—
1581	Dic₆	—	2	2	no	—
1582	Dic₆	—	4	1	no	—
1583	Dic₆	—	4	1	no	—
1584	Dic₆	—	4	1	no	—
1585	C₂×C₃²	—	2	2	no	—
1586	C₂×C₃²	—	4	1	no	—
1587	C₂×C₃²	—	4	1	no	—
1588	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1589	C₂×C₃²	#585	1	1	yes	characteristic
1590	C₂×C₃²	#585	1	1	yes	characteristic
1591	C₃×D₃	—	2	2	no	—
1592	C₃×D₃	—	4	1	no	—
1593	C₃×D₃	—	4	1	no	—
1594	C₃×D₃	—	4	1	no	—
1595	C₂⁴	—	3	1	no	—
1596	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1597	#41	—	6	4	no	—
1598	#41	—	6	4	no	—
1599	C₂×Q₈	—	3	1	no	—
1600	C₂×Q₈	—	3	1	no	—
1601	C₂×Q₈	—	3	1	no	—
1602	C₂×Q₈	—	3	1	no	—
1603	C₂×Q₈	—	3	1	no	—
1604	C₂×D₄	—	3	1	no	—
1605	C₂×D₄	—	3	1	no	—
1606	C₂×D₄	—	3	1	no	—
1607	C₂×D₄	—	3	1	no	—
1608	C₂×D₄	—	3	1	no	—
1609	C₂×D₄	—	3	1	no	—
1610	C₂×D₄	—	3	1	no	—
1611	C₂×D₄	—	3	1	no	—
1612	C₂×D₄	—	3	1	no	—
1613	C₂×D₄	—	3	1	no	—
1614	C₂×D₄	—	3	1	no	—
1615	C₂×D₄	—	3	1	no	—
1616	C₂×D₄	—	3	1	no	—
1617	C₂×D₄	—	3	1	no	—
1618	C₂×D₄	—	3	1	no	—
1619	C₂×D₄	—	6	4	no	—
1620	C₂²×C₄	—	3	1	no	—
1621	C₂²×C₄	—	3	1	no	—
1622	C₂²×C₄	—	3	1	no	—
1623	C₂²×C₄	—	3	1	no	—
1624	C₂²×C₄	—	3	1	no	—
1625	C₂²×C₄	—	3	1	no	—
1626	C₂²×C₄	—	3	1	no	—
1627	C₂²×C₄	—	3	1	no	—
1628	C₂²×C₄	—	3	1	no	—
1629	C₂²×C₄	—	3	1	no	—
1630	C₂²×C₄	—	3	1	no	—
1631	C₂²×C₄	—	3	1	no	—
1632	C₂²×C₄	—	3	1	no	—
1633	C₂²×C₄	—	3	1	no	—
1634	C₂²×C₄	—	3	1	no	—
1635	C₂²×C₄	—	3	1	no	—
1636	C₂²×C₄	—	3	1	no	—
1637	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1638	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1639	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1640	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1641	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1642	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1643	C₄⋊C₄	—	3	1	no	—
1644	C₄⋊C₄	—	3	1	no	—
1645	C₄⋊C₄	—	3	1	no	—
1646	C₄⋊C₄	—	3	1	no	—
1647	C₄⋊C₄	—	3	1	no	—
1648	C₄⋊C₄	—	3	1	no	—
1649	C₄⋊C₄	—	3	1	no	—
1650	C₄⋊C₄	—	3	1	no	—
1651	C₄⋊C₄	—	3	1	no	—
1652	C₄⋊C₄	—	3	1	no	—
1653	C₄⋊C₄	—	3	1	no	—
1654	C₄⋊C₄	—	3	1	no	—
1655	C₄⋊C₄	—	3	1	no	—
1656	C₄⋊C₄	—	3	1	no	—
1657	C₄⋊C₄	—	3	1	no	—
1658	C₄⋊C₄	—	3	1	no	—
1659	C₄⋊C₄	—	3	1	no	—
1660	C₄⋊C₄	—	3	1	no	—
1661	C₄⋊C₄	—	3	1	no	—
1662	C₄⋊C₄	—	3	1	no	—
1663	C₄⋊C₄	—	3	1	no	—
1664	C₄⋊C₄	—	3	1	no	—
1665	C₄⋊C₄	—	3	1	no	—
1666	C₄⋊C₄	—	3	1	no	—
1667	C₄⋊C₄	—	3	1	no	—
1668	C₄⋊C₄	—	3	1	no	—
1669	C₄⋊C₄	—	3	1	no	—
1670	C₄⋊C₄	—	3	1	no	—
1671	C₄⋊C₄	—	3	1	no	—
1672	C₄⋊C₄	—	3	1	no	—
1673	C₄⋊C₄	—	3	1	no	—
1674	C₄⋊C₄	—	3	1	no	—
1675	C₄⋊C₄	—	3	1	no	—
1676	C₄⋊C₄	—	3	1	no	—
1677	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1678	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1679	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1680	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1681	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1682	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1683	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1684	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1685	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1686	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1687	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1688	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
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	—	3	1	no	—
1699	C₂²⋊C₄	—	3	1	no	—
1700	C₂²⋊C₄	—	3	1	no	—
1701	C₂²⋊C₄	—	3	1	no	—
1702	C₂²⋊C₄	—	3	1	no	—
1703	C₂²⋊C₄	—	3	1	no	—
1704	C₂²⋊C₄	—	3	1	no	—
1705	C₂²⋊C₄	—	3	1	no	—
1706	C₂²⋊C₄	—	3	1	no	—
1707	C₂²⋊C₄	—	3	1	no	—
1708	C₂²⋊C₄	—	3	1	no	—
1709	C₂²⋊C₄	—	3	1	no	—
1710	C₂²⋊C₄	—	3	1	no	—
1711	C₂²⋊C₄	—	3	1	no	—
1712	C₂²⋊C₄	—	3	1	no	—
1713	C₂²⋊C₄	—	3	1	no	—
1714	C₂²⋊C₄	—	3	1	no	—
1715	C₂²⋊C₄	—	3	1	no	—
1716	C₂²⋊C₄	—	3	1	no	—
1717	C₂²⋊C₄	—	3	1	no	—
1718	C₂²⋊C₄	—	3	1	no	—
1719	C₂²⋊C₄	—	3	1	no	—
1720	C₂²⋊C₄	—	3	1	no	—
1721	C₂²⋊C₄	—	3	1	no	—
1722	C₂²⋊C₄	—	3	1	no	—
1723	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1724	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1725	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1726	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1727	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1728	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1729	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1730	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1731	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1732	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1733	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1734	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1735	C₄²	—	3	1	no	—
1736	C₄²	—	3	1	no	—
1737	C₄²	—	3	1	no	—
1738	C₄²	—	3	1	no	—
1739	C₄²	—	3	1	no	—
1740	C₄²	—	3	1	no	—
1741	C₄²	—	3	1	no	—
1742	C₄²	—	3	1	no	—
1743	C₄²	—	3	1	no	—
1744	C₄²	—	3	1	no	—
1745	C₄²	—	3	1	no	—
1746	C₄²	—	3	1	no	—
1747	C₄²	—	3	1	no	—
1748	C₄²	—	3	1	no	—
1749	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1750	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1751	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1752	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1753	C₂²×C₃	—	2	2	no	—
1754	C₂²×C₃	—	2	2	no	—
1755	C₂²×C₃	—	2	1	no	—
1756	C₂²×C₃	—	2	1	no	—
1757	C₂²×C₃	—	2	1	no	—
1758	C₂²×C₃	—	2	1	no	—
1759	C₂²×C₃	—	2	1	no	—
1760	C₂²×C₃	—	2	1	no	—
1761	C₂²×C₃	—	2	1	no	—
1762	C₂²×C₃	—	2	1	no	—
1763	C₂²×C₃	—	2	1	no	—
1764	C₂²×C₃	—	2	1	no	—
1765	C₂²×C₃	—	2	1	no	—
1766	C₂²×C₃	—	2	1	no	—
1767	C₂²×C₃	—	2	1	no	—
1768	C₂²×C₃	—	2	1	no	—
1769	C₂²×C₃	—	2	1	no	—
1770	C₂²×C₃	—	2	1	no	—
1771	C₂²×C₃	—	2	2	no	—
1772	C₂²×C₃	—	2	1	no	—
1773	C₂²×C₃	—	3	2	no	—
1774	C₂²×C₃	—	4	1	no	—
1775	C₂²×C₃	—	4	1	no	—
1776	C₂²×C₃	—	4	1	no	—
1777	C₂²×C₃	—	4	1	no	—
1778	C₂²×C₃	—	4	1	no	—
1779	C₂²×C₃	—	4	1	no	—
1780	C₂²×C₃	—	6	1	no	—
1781	C₂²×C₃	—	6	1	no	—
1782	C₂²×C₃	—	6	1	no	—
1783	C₂²×C₃	—	6	1	no	—
1784	C₂²×C₃	—	6	1	no	—
1785	C₂²×C₃	—	6	1	no	—
1786	C₂²×C₃	—	6	1	no	—
1787	C₂²×C₃	—	6	1	no	—
1788	C₂²×C₃	—	6	1	no	—
1789	C₂²×C₃	—	6	1	no	—
1790	C₂²×C₃	—	6	1	no	—
1791	C₂²×C₃	—	8	2	no	—
1792	C₂²×C₃	—	8	2	no	—
1793	C₂²×C₃	—	8	4	no	—
1794	C₂²×C₃	—	24	2	no	—
1795	C₂²×C₃	D₃×#41	1	2	yes	—
1796	C₂²×C₃	C₂×C₃×#41	1	2	yes	—
1797	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1798	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1799	C₂×D₃	—	2	1	no	—
1800	C₂×D₃	—	2	1	no	—
1801	C₂×D₃	—	2	1	no	—
1802	C₂×D₃	—	2	1	no	—
1803	C₂×D₃	—	2	1	no	—
1804	C₂×D₃	—	2	1	no	—
1805	C₂×D₃	—	2	1	no	—
1806	C₂×D₃	—	2	1	no	—
1807	C₂×D₃	—	2	1	no	—
1808	C₂×D₃	—	2	1	no	—
1809	C₂×D₃	—	2	1	no	—
1810	C₂×D₃	—	8	2	no	—
1811	C₂×D₃	C₂×C₃×#41	1	2	yes	—
1812	C₃×C₄	—	2	1	no	—
1813	C₃×C₄	—	2	1	no	—
1814	C₃×C₄	—	2	1	no	—
1815	C₃×C₄	—	2	1	no	—
1816	C₃×C₄	—	2	1	no	—
1817	C₃×C₄	—	2	1	no	—
1818	C₃×C₄	—	2	1	no	—
1819	C₃×C₄	—	2	1	no	—
1820	C₃×C₄	—	2	1	no	—
1821	C₃×C₄	—	2	1	no	—
1822	C₃×C₄	—	2	1	no	—
1823	C₃×C₄	—	2	1	no	—
1824	C₃×C₄	—	2	1	no	—
1825	C₃×C₄	—	2	1	no	—
1826	C₃×C₄	—	2	1	no	—
1827	C₃×C₄	—	2	1	no	—
1828	C₃×C₄	—	2	1	no	—
1829	C₃×C₄	—	2	1	no	—
1830	C₃×C₄	—	2	1	no	—
1831	C₃×C₄	—	2	1	no	—
1832	C₃×C₄	—	2	1	no	—
1833	C₃×C₄	—	2	1	no	—
1834	C₃×C₄	—	2	1	no	—
1835	C₃×C₄	—	2	1	no	—
1836	C₃×C₄	—	3	2	no	—
1837	C₃×C₄	—	4	1	no	—
1838	C₃×C₄	—	4	1	no	—
1839	C₃×C₄	—	4	1	no	—
1840	C₃×C₄	—	4	1	no	—
1841	C₃×C₄	—	4	1	no	—
1842	C₃×C₄	—	4	1	no	—
1843	C₃×C₄	—	4	1	no	—
1844	C₃×C₄	—	4	1	no	—
1845	C₃×C₄	—	4	1	no	—
1846	C₃×C₄	—	4	1	no	—
1847	C₃×C₄	—	4	1	no	—
1848	C₃×C₄	—	4	1	no	—
1849	C₃×C₄	—	6	1	no	—
1850	C₃×C₄	—	6	1	no	—
1851	C₃×C₄	—	6	1	no	—
1852	C₃×C₄	—	6	1	no	—
1853	C₃×C₄	—	6	1	no	—
1854	C₃×C₄	—	6	1	no	—
1855	C₃×C₄	—	6	1	no	—
1856	C₃×C₄	—	6	1	no	—
1857	C₃×C₄	—	6	1	no	—
1858	C₃×C₄	—	6	1	no	—
1859	C₃×C₄	—	6	1	no	—
1860	Dic₃	—	2	1	no	—
1861	Dic₃	—	2	1	no	—
1862	Dic₃	—	2	1	no	—
1863	Dic₃	—	2	1	no	—
1864	Dic₃	—	2	1	no	—
1865	Dic₃	—	2	1	no	—
1866	Dic₃	—	2	1	no	—
1867	Dic₃	—	2	1	no	—
1868	Dic₃	—	2	1	no	—
1869	Dic₃	—	2	1	no	—
1870	Dic₃	—	2	1	no	—
1871	Dic₃	C₂×C₃×#41	1	2	yes	—
1872	C₃²	#3521	1	1	yes	characteristic, complemented, Sylow
1873	C₂³	—	2	2	no	—
1874	C₂³	—	3	1	no	—
1875	C₂³	—	3	1	no	—
1876	C₂³	—	3	1	no	—
1877	C₂³	—	3	1	no	—
1878	C₂³	—	4	1	no	—
1879	C₂³	—	4	1	no	—
1880	C₂³	—	6	2	no	—
1881	C₂³	—	12	1	no	—
1882	C₂³	—	12	1	no	—
1883	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1884	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1885	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1886	Q₈	—	6	2	no	—
1887	Q₈	—	6	2	no	—
1888	Q₈	—	12	1	no	—
1889	Q₈	—	12	1	no	—
1890	Q₈	—	12	1	no	—
1891	D₄	—	3	4	no	—
1892	D₄	—	6	2	no	—
1893	D₄	—	6	2	no	—
1894	D₄	—	6	2	no	—
1895	D₄	—	6	2	no	—
1896	D₄	—	6	2	no	—
1897	D₄	—	6	2	no	—
1898	D₄	—	6	2	no	—
1899	D₄	—	12	1	no	—
1900	D₄	—	12	1	no	—
1901	D₄	—	12	1	no	—
1902	D₄	—	12	1	no	—
1903	D₄	—	12	1	no	—
1904	D₄	—	12	1	no	—
1905	D₄	—	12	1	no	—
1906	C₂×C₄	—	2	2	no	—
1907	C₂×C₄	—	2	2	no	—
1908	C₂×C₄	—	3	1	no	—
1909	C₂×C₄	—	3	1	no	—
1910	C₂×C₄	—	3	1	no	—
1911	C₂×C₄	—	3	1	no	—
1912	C₂×C₄	—	3	1	no	—
1913	C₂×C₄	—	3	1	no	—
1914	C₂×C₄	—	3	1	no	—
1915	C₂×C₄	—	3	1	no	—
1916	C₂×C₄	—	3	1	no	—
1917	C₂×C₄	—	3	1	no	—
1918	C₂×C₄	—	3	1	no	—
1919	C₂×C₄	—	3	1	no	—
1920	C₂×C₄	—	4	1	no	—
1921	C₂×C₄	—	4	1	no	—
1922	C₂×C₄	—	4	1	no	—
1923	C₂×C₄	—	4	1	no	—
1924	C₂×C₄	—	6	2	no	—
1925	C₂×C₄	—	6	2	no	—
1926	C₂×C₄	—	6	2	no	—
1927	C₂×C₄	—	6	2	no	—
1928	C₂×C₄	—	6	2	no	—
1929	C₂×C₄	—	12	1	no	—
1930	C₂×C₄	—	12	1	no	—
1931	C₂×C₄	—	12	1	no	—
1932	C₂×C₄	—	12	1	no	—
1933	C₂×C₄	—	12	1	no	—
1934	C₂×C₄	—	12	1	no	—
1935	C₂×C₄	—	12	1	no	—
1936	C₂×C₄	—	12	1	no	—
1937	C₂×C₄	—	12	1	no	—
1938	C₂×C₄	—	12	1	no	—
1939	C₂×C₄	—	12	1	no	—
1940	C₂×C₄	—	12	1	no	—
1941	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1942	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1943	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1944	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1945	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1946	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1947	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1948	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1949	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1950	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1951	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1952	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1953	C₂×C₃	—	2	4	no	—
1954	C₂×C₃	—	2	2	no	—
1955	C₂×C₃	—	2	2	no	—
1956	C₂×C₃	—	2	1	no	—
1957	C₂×C₃	—	2	1	no	—
1958	C₂×C₃	—	2	1	no	—
1959	C₂×C₃	—	4	1	no	—
1960	C₂×C₃	—	4	1	no	—
1961	C₂×C₃	—	4	1	no	—
1962	C₂×C₃	—	4	1	no	—
1963	C₂×C₃	—	6	2	no	—
1964	C₂×C₃	—	8	1	no	—
1965	C₂×C₃	—	8	1	no	—
1966	C₂×C₃	—	12	1	no	—
1967	C₂×C₃	—	12	1	no	—
1968	C₂×C₃	—	12	1	no	—
1969	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1970	C₂×C₃	#5964	1	1	yes	characteristic
1971	C₂×C₃	#5964	1	1	yes	characteristic
1972	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1973	C₂×C₃	C₃×#585	1	1	yes	characteristic
1974	C₂×C₃	C₃×#585	1	1	yes	characteristic
1975	D₃	—	2	2	no	—
1976	D₃	—	4	1	no	—
1977	D₃	—	4	1	no	—
1978	D₃	—	4	1	no	—
1979	C₂²	—	2	1	no	—
1980	C₂²	—	2	1	no	—
1981	C₂²	—	2	1	no	—
1982	C₂²	—	2	1	no	—
1983	C₂²	—	2	1	no	—
1984	C₂²	—	2	1	no	—
1985	C₂²	—	2	1	no	—
1986	C₂²	—	2	1	no	—
1987	C₂²	—	3	2	no	—
1988	C₂²	—	6	1	no	—
1989	C₂²	—	6	1	no	—
1990	C₂²	—	6	1	no	—
1991	C₂²	—	6	1	no	—
1992	C₂²	—	6	1	no	—
1993	C₂²	—	6	1	no	—
1994	C₂²	—	6	1	no	—
1995	C₂²	—	6	1	no	—
1996	C₂²	—	6	1	no	—
1997	C₂²	—	6	1	no	—
1998	C₂²	—	6	1	no	—
1999	C₂²	—	8	2	no	—
2000	C₂²	—	24	2	no	—
2001	C₂²	C₃×D₃×#41	1	2	yes	—
2002	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
2003	C₄	—	2	1	no	—
2004	C₄	—	2	1	no	—
2005	C₄	—	2	1	no	—
2006	C₄	—	2	1	no	—
2007	C₄	—	2	1	no	—
2008	C₄	—	2	1	no	—
2009	C₄	—	2	1	no	—
2010	C₄	—	2	1	no	—
2011	C₄	—	2	1	no	—
2012	C₄	—	2	1	no	—
2013	C₄	—	2	1	no	—
2014	C₄	—	2	1	no	—
2015	C₄	—	3	2	no	—
2016	C₄	—	6	1	no	—
2017	C₄	—	6	1	no	—
2018	C₄	—	6	1	no	—
2019	C₄	—	6	1	no	—
2020	C₄	—	6	1	no	—
2021	C₄	—	6	1	no	—
2022	C₄	—	6	1	no	—
2023	C₄	—	6	1	no	—
2024	C₄	—	6	1	no	—
2025	C₄	—	6	1	no	—
2026	C₄	—	6	1	no	—
2027	C₃	—	2	1	no	—
2028	C₃	#86116	1	1	yes	characteristic, direct product factor
2029	C₃	C₃×#3521	1	1	yes	characteristic, complemented
2030	C₂	—	2	2	no	—
2031	C₂	—	4	1	no	—
2032	C₂	—	4	1	no	—
2033	C₂	—	6	2	no	—
2034	C₂	—	12	1	no	—
2035	C₂	—	12	1	no	—
2036	C₂	—	12	1	no	—
2037	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
2038	C₂	C₃×#5964	1	1	yes	characteristic
2039	C₂	C₃×#5964	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₂×C₃²×#126	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₂×C₃×#126	D₃
hypocenter	C₃	C₃×#3521
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₂×C₃×#126

Complements

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

N	H ≅ G/N	type
1. C₂×C₃²×#126	C₂	semidirect
2. C₃×#5710	C₂	semidirect
3. C₃×#5709	C₂	semidirect
4. C₃×#5709	C₂	semidirect
5. C₃×#5708	C₂	semidirect
6. C₃×#5708	C₂	semidirect
7. C₃×#5707	C₂	semidirect
8. C₃×#5706	C₂	semidirect
9. C₃×#5706	C₂	semidirect
10. C₃×#5706	C₂	semidirect
11. C₃×#5705	C₂	semidirect
12. C₃×#5705	C₂	semidirect
13. C₃×#5704	C₂	semidirect
14. C₃×D₃×#126	C₂	semidirect
15. C₃×#5702	C₂	semidirect
16. C₃×#5702	C₂	semidirect
17. C₃×#5701	C₂	semidirect
18. C₃×#5515	C₂	semidirect
19. C₃×#5514	C₂	semidirect
20. C₃×#5513	C₂	semidirect
21. C₃×#5511	C₂	semidirect
22. C₃×#5507	C₂	semidirect
23. C₃×#5504	C₂	semidirect
24. C₃×#5495	C₂	semidirect
25. C₃×#5495	C₂	semidirect
26. C₃×#5494	C₂	semidirect
27. C₃×#5490	C₂	semidirect
28. C₃×#5490	C₂	semidirect
29. C₃×#5486	C₂	semidirect
30. C₃×#5479	C₂	semidirect
31. C₃×C₄×#235	C₂	semidirect
33. #86116	C₃	direct (N × H)
41. C₃²×#126	C₂²	semidirect
42. C₃²×#126	C₂²	semidirect
43. C₃²×#126	C₂²	semidirect
44. C₃²×#126	C₂²	semidirect
45. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
46. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
47. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
51. C₂×C₃²×C₄²	C₂²	semidirect
57. C₃×#930	C₂²	semidirect
60. C₃×#929	C₂²	semidirect
61. C₃×#929	C₂²	semidirect
68. C₃×C₄×#67	C₂²	semidirect
69. C₃×C₄×#67	C₂²	semidirect
70. C₃×C₄×#67	C₂²	semidirect
71. C₃×C₄×#67	C₂²	semidirect
72. C₃×#926	C₂²	semidirect
73. C₃×#926	C₂²	semidirect
74. C₃×#924	C₂²	semidirect
75. C₃×#924	C₂²	semidirect
76. C₃×#924	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×#897	C₂²	semidirect
84. C₃×#897	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
91. C₃×#895	C₂²	semidirect
92. C₃×#895	C₂²	semidirect
93. C₃×#894	C₂²	semidirect
94. C₃×#894	C₂²	semidirect
95. C₃×#894	C₂²	semidirect
96. C₃×#894	C₂²	semidirect
97. C₃×#894	C₂²	semidirect
98. C₃×#894	C₂²	semidirect
99. C₃×#893	C₂²	semidirect
100. C₃×#893	C₂²	semidirect
101. C₃×#893	C₂²	semidirect
102. C₃×#893	C₂²	semidirect
103. C₃×#892	C₂²	semidirect
104. C₃×#892	C₂²	semidirect
105. C₃×#892	C₂²	semidirect
106. C₃×#892	C₂²	semidirect
107. C₃×D₃×C₄⋊C₄	C₂²	semidirect
108. C₃×D₃×C₄⋊C₄	C₂²	semidirect
109. C₃×D₃×C₄⋊C₄	C₂²	semidirect
110. C₃×D₃×C₄⋊C₄	C₂²	semidirect
111. C₃×#890	C₂²	semidirect
112. C₃×#890	C₂²	semidirect
113. C₃×#889	C₂²	semidirect
114. C₃×#889	C₂²	semidirect
115. C₃×#889	C₂²	semidirect
116. C₃×#889	C₂²	semidirect
117. C₃×#889	C₂²	semidirect
118. C₃×#889	C₂²	semidirect
119. C₃×#888	C₂²	semidirect
120. C₃×#888	C₂²	semidirect
121. C₃×#887	C₂²	semidirect
122. C₃×#887	C₂²	semidirect
123. C₃×#887	C₂²	semidirect
124. C₃×#887	C₂²	semidirect
125. C₃×#886	C₂²	semidirect
126. C₃×#886	C₂²	semidirect
132. C₃×#885	C₂²	semidirect
138. C₃×#884	C₂²	semidirect
144. C₃×#883	C₂²	semidirect
153. C₃×#67⋊C₄	C₂²	semidirect
154. C₃×#67⋊C₄	C₂²	semidirect
164. C₃×#879	C₂²	semidirect
167. C₃×#878	C₂²	semidirect
168. C₃×#878	C₂²	semidirect
171. C₃×#877	C₂²	semidirect
172. C₃×#877	C₂²	semidirect
173. C₃×#876	C₂²	semidirect
174. C₃×#876	C₂²	semidirect
175. C₃×#875	C₂²	semidirect
176. C₃×C₄×D₁₂	C₂²	semidirect
177. C₃×C₄×D₁₂	C₂²	semidirect
178. C₃×C₄×D₁₂	C₂²	semidirect
179. C₃×#872	C₂²	semidirect
180. C₃×#872	C₂²	semidirect
181. C₃×#872	C₂²	semidirect
182. C₃×#872	C₂²	semidirect
183. C₃×C₄²×D₃	C₂²	semidirect
184. C₃×C₄²×D₃	C₂²	semidirect
185. C₃×#870	C₂²	semidirect
186. C₃×C₄×Dic₆	C₂²	semidirect
187. C₃×C₄×Dic₆	C₂²	semidirect
188. C₃×C₄×Dic₆	C₂²	semidirect
217. C₂×C₃×#126	D₃	semidirect
218. C₂×C₃×#126	C₂×C₃	semidirect
222. #5710	C₂×C₃	semidirect
223. #5709	C₂×C₃	semidirect
224. #5709	C₂×C₃	semidirect
225. #5708	C₂×C₃	semidirect
226. #5708	C₂×C₃	semidirect
227. #5707	C₂×C₃	semidirect
228. #5706	C₂×C₃	semidirect
229. #5706	C₂×C₃	semidirect
230. #5706	C₂×C₃	semidirect
231. #5705	C₂×C₃	semidirect
232. #5705	C₂×C₃	semidirect
233. #5704	C₂×C₃	semidirect
234. D₃×#126	C₂×C₃	semidirect
235. #5702	C₂×C₃	semidirect
236. #5702	C₂×C₃	semidirect
237. #5701	C₂×C₃	semidirect
238. #5515	C₂×C₃	semidirect
239. #5514	C₂×C₃	semidirect
240. #5513	C₂×C₃	semidirect
241. #5511	C₂×C₃	semidirect
242. #5507	C₂×C₃	semidirect
243. #5504	C₂×C₃	semidirect
244. #5495	C₂×C₃	semidirect
245. #5495	C₂×C₃	semidirect
246. #5494	C₂×C₃	semidirect
247. #5490	C₂×C₃	semidirect
248. #5490	C₂×C₃	semidirect
249. #5486	C₂×C₃	semidirect
250. #5479	C₂×C₃	semidirect
251. C₄×#235	C₂×C₃	semidirect
445. C₃×#126	C₂×D₃	semidirect
446. C₃×#126	C₂×D₃	semidirect
447. C₃×#126	C₂×D₃	semidirect
448. C₃×#126	C₂×D₃	semidirect
453. C₃×#126	C₂²×C₃	semidirect
454. C₃×#126	C₂²×C₃	semidirect
455. C₃×#126	C₂²×C₃	semidirect
456. C₃×#126	C₂²×C₃	semidirect
574. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
575. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
576. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
577. C₂×C₃×C₄⋊C₄	C₂²×C₃	semidirect
578. C₂×C₃×C₄⋊C₄	C₂²×C₃	semidirect
579. C₂×C₃×C₄⋊C₄	C₂²×C₃	semidirect
597. C₂×C₃×C₄²	C₂×D₃	semidirect
598. C₂×C₃×C₄²	C₂²×C₃	semidirect
604. #930	C₂²×C₃	semidirect
607. #929	C₂²×C₃	semidirect
608. #929	C₂²×C₃	semidirect
615. C₄×#67	C₂²×C₃	semidirect
616. C₄×#67	C₂²×C₃	semidirect
617. C₄×#67	C₂²×C₃	semidirect
618. C₄×#67	C₂²×C₃	semidirect
619. #926	C₂²×C₃	semidirect
620. #926	C₂²×C₃	semidirect
621. #924	C₂²×C₃	semidirect
622. #924	C₂²×C₃	semidirect
623. #924	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. #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. #895	C₂²×C₃	semidirect
639. #895	C₂²×C₃	semidirect
640. #894	C₂²×C₃	semidirect
641. #894	C₂²×C₃	semidirect
642. #894	C₂²×C₃	semidirect
643. #894	C₂²×C₃	semidirect
644. #894	C₂²×C₃	semidirect
645. #894	C₂²×C₃	semidirect
646. #893	C₂²×C₃	semidirect
647. #893	C₂²×C₃	semidirect
648. #893	C₂²×C₃	semidirect
649. #893	C₂²×C₃	semidirect
650. #892	C₂²×C₃	semidirect
651. #892	C₂²×C₃	semidirect
652. #892	C₂²×C₃	semidirect
653. #892	C₂²×C₃	semidirect
654. D₃×C₄⋊C₄	C₂²×C₃	semidirect
655. D₃×C₄⋊C₄	C₂²×C₃	semidirect
656. D₃×C₄⋊C₄	C₂²×C₃	semidirect
657. D₃×C₄⋊C₄	C₂²×C₃	semidirect
658. #890	C₂²×C₃	semidirect
659. #890	C₂²×C₃	semidirect
660. #889	C₂²×C₃	semidirect
661. #889	C₂²×C₃	semidirect
662. #889	C₂²×C₃	semidirect
663. #889	C₂²×C₃	semidirect
664. #889	C₂²×C₃	semidirect
665. #889	C₂²×C₃	semidirect
666. #888	C₂²×C₃	semidirect
667. #888	C₂²×C₃	semidirect
668. #887	C₂²×C₃	semidirect
669. #887	C₂²×C₃	semidirect
670. #887	C₂²×C₃	semidirect
671. #887	C₂²×C₃	semidirect
672. #886	C₂²×C₃	semidirect
673. #886	C₂²×C₃	semidirect
679. #885	C₂²×C₃	semidirect
685. #884	C₂²×C₃	semidirect
691. #883	C₂²×C₃	semidirect
700. #67⋊C₄	C₂²×C₃	semidirect
701. #67⋊C₄	C₂²×C₃	semidirect
711. #879	C₂²×C₃	semidirect
714. #878	C₂²×C₃	semidirect
715. #878	C₂²×C₃	semidirect
718. #877	C₂²×C₃	semidirect
719. #877	C₂²×C₃	semidirect
720. #876	C₂²×C₃	semidirect
721. #876	C₂²×C₃	semidirect
722. #875	C₂²×C₃	semidirect
723. C₄×D₁₂	C₂²×C₃	semidirect
724. C₄×D₁₂	C₂²×C₃	semidirect
725. C₄×D₁₂	C₂²×C₃	semidirect
726. #872	C₂²×C₃	semidirect
727. #872	C₂²×C₃	semidirect
728. #872	C₂²×C₃	semidirect
729. #872	C₂²×C₃	semidirect
730. C₄²×D₃	C₂²×C₃	semidirect
731. C₄²×D₃	C₂²×C₃	semidirect
732. #870	C₂²×C₃	semidirect
733. C₄×Dic₆	C₂²×C₃	semidirect
734. C₄×Dic₆	C₂²×C₃	semidirect
735. C₄×Dic₆	C₂²×C₃	semidirect
843. C₂×#126	C₃×D₃	semidirect
1269. #126	C₂×C₃×D₃	semidirect
1270. #126	C₂×C₃×D₃	semidirect
1271. #126	C₂×C₃×D₃	semidirect
1272. #126	C₂×C₃×D₃	semidirect
1387. C₂×C₄⋊C₄	C₂×C₃×D₃	semidirect
1388. C₂×C₄⋊C₄	C₂×C₃×D₃	semidirect
1389. C₂×C₄⋊C₄	C₂×C₃×D₃	semidirect
1400. C₂×C₄²	C₂×C₃×D₃	semidirect
1872. C₃²	#3521	semidirect
2028. C₃	#86116	direct (N × H)
2029. C₃	C₃×#3521	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃²×#126	2
C₃×#5710	2
C₃×#5709	2
C₃×#5708	2
C₃×#5707	2
C₃×#5706	2
C₃×#5705	2
C₃×#5704	2
C₃×D₃×#126	2
C₃×#5702	2
C₃×#5701	2
C₃×#5515	2
C₃×#5514	2
C₃×#5513	2
C₃×#5511	2
C₃×#5507	2
C₃×#5504	2
C₃×#5495	2
C₃×#5494	2
C₃×#5490	2
C₃×#5486	2
C₃×#5479	2
C₃×C₄×#235	2
C₃×#3521	3
#86116	3

Subgroups — C3×#86116 #11909385

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86116 #11909385