Subgroups — C₃×#52016 #10670623

Order 768.

2328 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#560	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×#540	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2724	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2708	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2701	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2701	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2701	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2699	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2697	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2688	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2682	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2678	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2671	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2668	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2664	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2664	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2601	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2601	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2543	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2534	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2486	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2444	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2443	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#2425	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#2425	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2425	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#2424	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2419	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#2418	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#2416	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#2366	C₂	1	1	yes	maximal, characteristic, complemented
32	#52016	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₃×#560	—	2	8	no	—
34	C₃×#540	—	2	8	no	—
35	C₂×C₃×#127	C₂²	1	1	yes	characteristic
36	C₂×C₃×#126	C₂²	1	1	yes	characteristic
37	C₂×C₃×#126	C₂²	1	1	yes	characteristic
38	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₃×#123	C₂²	1	1	yes	characteristic
40	C₂×C₃×#123	C₂²	1	1	yes	characteristic
41	C₂×C₃×#123	C₂²	1	1	yes	characteristic
42	C₂×C₃×#123	C₂²	1	1	yes	characteristic
43	C₂×C₃×#123	C₂²	1	1	yes	characteristic
44	C₂×C₃×#123	C₂²	1	1	yes	characteristic
45	C₂×C₃×#123	C₂²	1	1	yes	characteristic
46	C₂×C₃×#123	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₃×#123	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₃×#123	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₃×#121	C₂²	1	1	yes	characteristic
50	C₂×C₃×#121	C₂²	1	1	yes	characteristic
51	C₂×C₃×#121	C₂²	1	1	yes	characteristic
52	C₂×C₃×#121	C₂²	1	1	yes	characteristic
53	C₂×C₃×#121	C₂²	1	1	yes	characteristic
54	C₂×C₃×#121	C₂²	1	1	yes	characteristic
55	C₂×C₃×#121	C₂²	1	1	yes	characteristic
56	C₂×C₃×#121	C₂²	1	1	yes	characteristic
57	C₂×C₃×#121	C₂²	1	1	yes	characteristic
58	C₂×C₃×#121	C₂²	1	1	yes	characteristic
59	C₂×C₃×#121	C₂²	1	1	yes	characteristic
60	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₃×#120	C₂²	1	1	yes	characteristic
64	C₂×C₃×#120	C₂²	1	1	yes	characteristic
65	C₂×C₃×#120	C₂²	1	1	yes	characteristic
66	C₂×C₃×#120	C₂²	1	1	yes	characteristic
67	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
68	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
69	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
70	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
73	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
74	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
75	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
76	C₃×#400	C₂²	1	1	yes	characteristic, complemented
77	C₃×#400	C₂²	1	1	yes	characteristic, complemented
78	C₃×#399	C₂²	1	1	yes	characteristic
79	C₃×#399	C₂²	1	1	yes	characteristic
80	C₃×#398	C₂²	1	1	yes	characteristic, complemented
81	C₃×#398	C₂²	1	1	yes	characteristic, complemented
82	C₃×#398	C₂²	1	1	yes	characteristic, complemented
83	C₃×#398	C₂²	1	1	yes	characteristic, complemented
84	C₃×#398	C₂²	1	1	yes	characteristic, complemented
85	C₃×#398	C₂²	1	1	yes	characteristic, complemented
86	C₃×#398	C₂²	1	1	yes	characteristic, complemented
87	C₃×#398	C₂²	1	1	yes	characteristic, complemented
88	C₃×#397	C₂²	1	1	yes	characteristic
89	C₃×#397	C₂²	1	1	yes	characteristic
90	C₃×#397	C₂²	1	1	yes	characteristic
91	C₃×#397	C₂²	1	1	yes	characteristic
92	C₃×#397	C₂²	1	1	yes	characteristic
93	C₃×#397	C₂²	1	1	yes	characteristic
94	C₃×#397	C₂²	1	1	yes	characteristic, complemented
95	C₃×#397	C₂²	1	1	yes	characteristic, complemented
96	C₃×#397	C₂²	1	1	yes	characteristic, complemented
97	C₃×#397	C₂²	1	1	yes	characteristic, complemented
98	C₃×#396	C₂²	1	1	yes	characteristic
99	C₃×#396	C₂²	1	1	yes	characteristic
100	C₃×#396	C₂²	1	1	yes	characteristic
101	C₃×#396	C₂²	1	1	yes	characteristic
102	C₃×#396	C₂²	1	1	yes	characteristic
103	C₃×#396	C₂²	1	1	yes	characteristic
104	C₃×#396	C₂²	1	1	yes	characteristic, complemented
105	C₃×#396	C₂²	1	1	yes	characteristic, complemented
106	C₃×#394	C₂²	1	1	yes	characteristic
107	C₃×#394	C₂²	1	1	yes	characteristic
108	C₃×#394	C₂²	1	1	yes	characteristic
109	C₃×#394	C₂²	1	1	yes	characteristic
110	C₃×#394	C₂²	1	1	yes	characteristic
111	C₃×#394	C₂²	1	1	yes	characteristic
112	C₃×#394	C₂²	1	1	yes	characteristic
113	C₃×#394	C₂²	1	1	yes	characteristic
114	C₃×#394	C₂²	1	1	yes	characteristic
115	C₃×#394	C₂²	1	1	yes	characteristic
116	C₃×#394	C₂²	1	1	yes	characteristic
117	C₃×#394	C₂²	1	1	yes	characteristic
118	C₃×#394	C₂²	1	1	yes	characteristic, complemented
119	C₃×#394	C₂²	1	1	yes	characteristic, complemented
120	C₃×#392	C₂²	1	1	yes	characteristic
121	C₃×#392	C₂²	1	1	yes	characteristic
122	C₃×#392	C₂²	1	1	yes	characteristic
123	C₃×#392	C₂²	1	1	yes	characteristic
124	C₃×#390	C₂²	1	1	yes	characteristic
125	C₃×#390	C₂²	1	1	yes	characteristic
126	C₃×#390	C₂²	1	1	yes	characteristic
127	C₃×#390	C₂²	1	1	yes	characteristic
128	C₃×#390	C₂²	1	1	yes	characteristic, complemented
129	C₃×#390	C₂²	1	1	yes	characteristic, complemented
130	C₃×#389	C₂²	1	1	yes	characteristic, complemented
131	C₃×#389	C₂²	1	1	yes	characteristic, complemented
132	C₃×#389	C₂²	1	1	yes	characteristic, complemented
133	C₃×#389	C₂²	1	1	yes	characteristic, complemented
134	C₃×#389	C₂²	1	1	yes	characteristic, complemented
135	C₃×#389	C₂²	1	1	yes	characteristic, complemented
136	C₃×#388	C₂²	1	1	yes	characteristic
137	C₃×#388	C₂²	1	1	yes	characteristic
138	C₃×#388	C₂²	1	1	yes	characteristic
139	C₃×#388	C₂²	1	1	yes	characteristic
140	C₃×#388	C₂²	1	1	yes	characteristic
141	C₃×#388	C₂²	1	1	yes	characteristic
142	C₃×#388	C₂²	1	1	yes	characteristic
143	C₃×#388	C₂²	1	1	yes	characteristic
144	C₃×#388	C₂²	1	1	yes	characteristic, complemented
145	C₃×#388	C₂²	1	1	yes	characteristic, complemented
146	C₃×#387	C₂²	1	1	yes	characteristic, complemented
147	C₃×#387	C₂²	1	1	yes	characteristic, complemented
148	C₃×#386	C₂²	1	1	yes	characteristic
149	C₃×#386	C₂²	1	1	yes	characteristic
150	C₃×#386	C₂²	1	1	yes	characteristic
151	C₃×#386	C₂²	1	1	yes	characteristic
152	C₃×#386	C₂²	1	1	yes	characteristic
153	C₃×#386	C₂²	1	1	yes	characteristic
154	C₃×#386	C₂²	1	1	yes	characteristic
155	C₃×#386	C₂²	1	1	yes	characteristic
156	C₃×#386	C₂²	1	1	yes	characteristic
157	C₃×#386	C₂²	1	1	yes	characteristic
158	C₃×#386	C₂²	1	1	yes	characteristic
159	C₃×#386	C₂²	1	1	yes	characteristic
160	C₃×#386	C₂²	1	1	yes	characteristic
161	C₃×#386	C₂²	1	1	yes	characteristic, complemented
162	C₃×#386	C₂²	1	1	yes	characteristic, complemented
163	C₃×#386	C₂²	1	1	yes	characteristic, complemented
164	C₃×#386	C₂²	1	1	yes	characteristic, complemented
165	C₃×#386	C₂²	1	1	yes	characteristic, complemented
166	C₃×#385	C₂²	1	1	yes	characteristic
167	C₃×#385	C₂²	1	1	yes	characteristic
168	C₃×#385	C₂²	1	1	yes	characteristic, complemented
169	C₃×#385	C₂²	1	1	yes	characteristic, complemented
170	C₃×#385	C₂²	1	1	yes	characteristic, complemented
171	C₃×#385	C₂²	1	1	yes	characteristic, complemented
172	C₃×#385	C₂²	1	1	yes	characteristic, complemented
173	C₃×#385	C₂²	1	1	yes	characteristic, complemented
174	C₃×#385	C₂²	1	1	yes	characteristic, complemented
175	C₃×#385	C₂²	1	1	yes	characteristic, complemented
176	C₃×#381	C₂²	1	1	yes	characteristic
177	C₃×#381	C₂²	1	1	yes	characteristic, complemented
178	C₃×#381	C₂²	1	1	yes	characteristic, complemented
179	C₃×#381	C₂²	1	1	yes	characteristic, complemented
180	C₃×#380	C₂²	1	1	yes	characteristic
181	C₃×#380	C₂²	1	1	yes	characteristic
182	C₃×#380	C₂²	1	1	yes	characteristic, complemented
183	C₃×#380	C₂²	1	1	yes	characteristic, complemented
184	C₃×#379	C₂²	1	1	yes	characteristic
185	C₃×#379	C₂²	1	1	yes	characteristic
186	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
188	C₂×C₃×#95	C₂²	1	1	yes	characteristic, complemented
189	C₂×C₃×#95	C₂²	1	1	yes	characteristic, complemented
190	C₂×#560	C₂×C₃	1	1	yes	characteristic, complemented
191	C₂×#540	C₂×C₃	1	1	yes	characteristic, complemented
192	#2724	C₂×C₃	1	1	yes	characteristic, complemented
193	#2708	C₂×C₃	1	1	yes	characteristic, complemented
194	#2701	C₂×C₃	1	1	yes	characteristic, complemented
195	#2701	C₂×C₃	1	1	yes	characteristic, complemented
196	#2701	C₂×C₃	1	1	yes	characteristic, complemented
197	#2699	C₂×C₃	1	1	yes	characteristic, complemented
198	#2697	C₂×C₃	1	1	yes	characteristic, complemented
199	#2688	C₂×C₃	1	1	yes	characteristic, complemented
200	#2682	C₂×C₃	1	1	yes	characteristic, complemented
201	#2678	C₂×C₃	1	1	yes	characteristic, complemented
202	#2671	C₂×C₃	1	1	yes	characteristic, complemented
203	#2668	C₂×C₃	1	1	yes	characteristic, complemented
204	#2664	C₂×C₃	1	1	yes	characteristic, complemented
205	#2664	C₂×C₃	1	1	yes	characteristic, complemented
206	#2601	C₂×C₃	1	1	yes	characteristic, complemented
207	#2601	C₂×C₃	1	1	yes	characteristic, complemented
208	#2543	C₂×C₃	1	1	yes	characteristic, complemented
209	#2534	C₂×C₃	1	1	yes	characteristic, complemented
210	#2486	C₂×C₃	1	1	yes	characteristic, complemented
211	#2444	C₂×C₃	1	1	yes	characteristic, complemented
212	#2443	C₂×C₃	1	1	yes	characteristic, complemented
213	#2425	C₂×C₃	1	1	yes	characteristic, complemented
214	#2425	C₂×C₃	1	1	yes	characteristic, complemented
215	#2425	C₂×C₃	1	1	yes	characteristic, complemented
216	#2424	C₂×C₃	1	1	yes	characteristic, complemented
217	#2419	C₂×C₃	1	1	yes	characteristic, complemented
218	#2418	C₂×C₃	1	1	yes	characteristic, complemented
219	#2416	C₂×C₃	1	1	yes	characteristic, complemented
220	#2366	C₂×C₃	1	1	yes	characteristic, complemented
221	C₂⁵×C₃	C₂³	1	1	yes	characteristic
222	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
223	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
224	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
225	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
226	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
227	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
228	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
229	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
230	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
231	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
232	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
233	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
234	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
235	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
236	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
237	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
238	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
239	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
240	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
241	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
242	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
243	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
244	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
245	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
246	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
247	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
248	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
249	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
250	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
251	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
252	C₃×#127	D₄	1	8	yes	complemented
253	C₃×#126	—	2	4	no	—
254	C₃×#126	—	2	4	no	—
255	C₃×#125	—	2	4	no	—
256	C₃×#123	—	2	4	no	—
257	C₃×#123	—	2	4	no	—
258	C₃×#123	—	2	4	no	—
259	C₃×#123	—	2	4	no	—
260	C₃×#123	—	2	4	no	—
261	C₃×#123	—	2	4	no	—
262	C₃×#123	—	2	4	no	—
263	C₃×#123	—	4	2	no	—
264	C₃×#123	—	4	2	no	—
265	C₃×#123	—	4	2	no	—
266	C₃×#121	—	2	4	no	—
267	C₃×#121	—	2	4	no	—
268	C₃×#121	—	2	4	no	—
269	C₃×#121	—	2	4	no	—
270	C₃×#121	—	2	4	no	—
271	C₃×#121	—	2	4	no	—
272	C₃×#121	—	2	4	no	—
273	C₃×#121	—	2	4	no	—
274	C₃×#121	—	2	4	no	—
275	C₃×#121	—	2	4	no	—
276	C₃×#121	—	2	4	no	—
277	C₃×#121	—	2	4	no	—
278	C₃×#121	—	4	2	no	—
279	C₃×#121	—	4	2	no	—
280	C₃×#120	—	2	4	no	—
281	C₃×#120	—	2	4	no	—
282	C₃×#120	—	2	4	no	—
283	C₃×#120	—	4	2	no	—
284	C₃×C₄×D₄	—	2	4	no	—
285	C₃×C₄×D₄	—	2	4	no	—
286	C₃×C₄×D₄	—	4	2	no	—
287	C₃×C₄×D₄	—	4	2	no	—
288	C₃×C₄×D₄	—	4	2	no	—
289	C₃×C₄×D₄	—	4	2	no	—
290	C₃×#117	—	2	4	no	—
291	C₂×C₃×C₄⋊C₄	—	4	2	no	—
292	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₃×C₂²⋊C₄	—	4	2	no	—
325	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
336	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
337	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
338	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
339	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
340	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
341	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
342	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
343	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
344	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
345	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
346	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
347	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
348	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
349	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
350	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
351	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
352	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
353	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
354	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
355	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
356	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
357	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
358	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
359	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
360	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
361	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
362	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
363	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
364	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
365	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
366	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
367	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
368	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
369	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
370	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
371	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
372	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
373	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
374	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
375	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
376	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
377	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
378	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
379	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
380	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
381	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
382	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
383	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
384	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
385	C₃×#95	C₂³	1	1	yes	characteristic
386	C₃×#95	C₂³	1	1	yes	characteristic
387	C₃×#95	C₂³	1	1	yes	characteristic
388	C₃×#95	C₂³	1	1	yes	characteristic
389	C₃×#95	C₂³	1	1	yes	characteristic
390	C₃×#95	C₂³	1	1	yes	characteristic
391	C₃×#95	C₂³	1	1	yes	characteristic
392	C₃×#95	C₂³	1	1	yes	characteristic
393	C₃×#95	C₂³	1	1	yes	characteristic
394	C₃×#95	C₂³	1	1	yes	characteristic
395	C₃×#95	C₂³	1	1	yes	characteristic
396	C₃×#95	C₂³	1	1	yes	characteristic
397	C₃×#95	C₂³	1	1	yes	characteristic
398	C₃×#95	C₂³	1	1	yes	characteristic
399	C₃×#95	C₂³	1	1	yes	characteristic
400	C₃×#95	C₂³	1	1	yes	characteristic
401	C₃×#95	C₂³	1	1	yes	characteristic
402	C₃×#95	C₂³	1	1	yes	characteristic
403	C₃×#95	C₂³	1	1	yes	characteristic
404	C₃×#95	C₂³	1	1	yes	characteristic
405	C₃×#95	C₂³	1	1	yes	characteristic
406	C₃×#95	C₂³	1	1	yes	characteristic
407	C₃×#95	C₂³	1	1	yes	characteristic
408	C₃×#95	C₂³	1	1	yes	characteristic
409	C₃×#95	C₂³	1	1	yes	characteristic
410	C₃×#95	C₂³	1	1	yes	characteristic
411	C₃×#95	C₂³	1	1	yes	characteristic
412	C₃×#95	C₂³	1	1	yes	characteristic
413	C₃×#95	C₂³	1	1	yes	characteristic
414	C₃×#95	C₂³	1	1	yes	characteristic
415	C₃×#95	C₂³	1	1	yes	characteristic
416	C₃×#95	C₂³	1	1	yes	characteristic
417	#560	—	2	8	no	—
418	#540	—	2	8	no	—
419	C₂×#127	C₂²×C₃	1	1	yes	characteristic
420	C₂×#126	C₂²×C₃	1	1	yes	characteristic
421	C₂×#126	C₂²×C₃	1	1	yes	characteristic
422	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
423	C₂×#123	C₂²×C₃	1	1	yes	characteristic
424	C₂×#123	C₂²×C₃	1	1	yes	characteristic
425	C₂×#123	C₂²×C₃	1	1	yes	characteristic
426	C₂×#123	C₂²×C₃	1	1	yes	characteristic
427	C₂×#123	C₂²×C₃	1	1	yes	characteristic
428	C₂×#123	C₂²×C₃	1	1	yes	characteristic
429	C₂×#123	C₂²×C₃	1	1	yes	characteristic
430	C₂×#123	C₂²×C₃	1	1	yes	characteristic, complemented
431	C₂×#123	C₂²×C₃	1	1	yes	characteristic, complemented
432	C₂×#123	C₂²×C₃	1	1	yes	characteristic, complemented
433	C₂×#121	C₂²×C₃	1	1	yes	characteristic
434	C₂×#121	C₂²×C₃	1	1	yes	characteristic
435	C₂×#121	C₂²×C₃	1	1	yes	characteristic
436	C₂×#121	C₂²×C₃	1	1	yes	characteristic
437	C₂×#121	C₂²×C₃	1	1	yes	characteristic
438	C₂×#121	C₂²×C₃	1	1	yes	characteristic
439	C₂×#121	C₂²×C₃	1	1	yes	characteristic
440	C₂×#121	C₂²×C₃	1	1	yes	characteristic
441	C₂×#121	C₂²×C₃	1	1	yes	characteristic
442	C₂×#121	C₂²×C₃	1	1	yes	characteristic
443	C₂×#121	C₂²×C₃	1	1	yes	characteristic
444	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
445	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
446	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
447	C₂×#120	C₂²×C₃	1	1	yes	characteristic
448	C₂×#120	C₂²×C₃	1	1	yes	characteristic
449	C₂×#120	C₂²×C₃	1	1	yes	characteristic
450	C₂×#120	C₂²×C₃	1	1	yes	characteristic
451	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
452	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
453	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
454	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
455	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
456	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
457	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
458	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
459	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
460	#400	C₂²×C₃	1	1	yes	characteristic, complemented
461	#400	C₂²×C₃	1	1	yes	characteristic, complemented
462	#399	C₂²×C₃	1	1	yes	characteristic
463	#399	C₂²×C₃	1	1	yes	characteristic
464	#398	C₂²×C₃	1	1	yes	characteristic, complemented
465	#398	C₂²×C₃	1	1	yes	characteristic, complemented
466	#398	C₂²×C₃	1	1	yes	characteristic, complemented
467	#398	C₂²×C₃	1	1	yes	characteristic, complemented
468	#398	C₂²×C₃	1	1	yes	characteristic, complemented
469	#398	C₂²×C₃	1	1	yes	characteristic, complemented
470	#398	C₂²×C₃	1	1	yes	characteristic, complemented
471	#398	C₂²×C₃	1	1	yes	characteristic, complemented
472	#397	C₂²×C₃	1	1	yes	characteristic
473	#397	C₂²×C₃	1	1	yes	characteristic
474	#397	C₂²×C₃	1	1	yes	characteristic
475	#397	C₂²×C₃	1	1	yes	characteristic
476	#397	C₂²×C₃	1	1	yes	characteristic
477	#397	C₂²×C₃	1	1	yes	characteristic
478	#397	C₂²×C₃	1	1	yes	characteristic, complemented
479	#397	C₂²×C₃	1	1	yes	characteristic, complemented
480	#397	C₂²×C₃	1	1	yes	characteristic, complemented
481	#397	C₂²×C₃	1	1	yes	characteristic, complemented
482	#396	C₂²×C₃	1	1	yes	characteristic
483	#396	C₂²×C₃	1	1	yes	characteristic
484	#396	C₂²×C₃	1	1	yes	characteristic
485	#396	C₂²×C₃	1	1	yes	characteristic
486	#396	C₂²×C₃	1	1	yes	characteristic
487	#396	C₂²×C₃	1	1	yes	characteristic
488	#396	C₂²×C₃	1	1	yes	characteristic, complemented
489	#396	C₂²×C₃	1	1	yes	characteristic, complemented
490	#394	C₂²×C₃	1	1	yes	characteristic
491	#394	C₂²×C₃	1	1	yes	characteristic
492	#394	C₂²×C₃	1	1	yes	characteristic
493	#394	C₂²×C₃	1	1	yes	characteristic
494	#394	C₂²×C₃	1	1	yes	characteristic
495	#394	C₂²×C₃	1	1	yes	characteristic
496	#394	C₂²×C₃	1	1	yes	characteristic
497	#394	C₂²×C₃	1	1	yes	characteristic
498	#394	C₂²×C₃	1	1	yes	characteristic
499	#394	C₂²×C₃	1	1	yes	characteristic
500	#394	C₂²×C₃	1	1	yes	characteristic
501	#394	C₂²×C₃	1	1	yes	characteristic
502	#394	C₂²×C₃	1	1	yes	characteristic, complemented
503	#394	C₂²×C₃	1	1	yes	characteristic, complemented
504	#392	C₂²×C₃	1	1	yes	characteristic
505	#392	C₂²×C₃	1	1	yes	characteristic
506	#392	C₂²×C₃	1	1	yes	characteristic
507	#392	C₂²×C₃	1	1	yes	characteristic
508	#390	C₂²×C₃	1	1	yes	characteristic
509	#390	C₂²×C₃	1	1	yes	characteristic
510	#390	C₂²×C₃	1	1	yes	characteristic
511	#390	C₂²×C₃	1	1	yes	characteristic
512	#390	C₂²×C₃	1	1	yes	characteristic, complemented
513	#390	C₂²×C₃	1	1	yes	characteristic, complemented
514	#389	C₂²×C₃	1	1	yes	characteristic, complemented
515	#389	C₂²×C₃	1	1	yes	characteristic, complemented
516	#389	C₂²×C₃	1	1	yes	characteristic, complemented
517	#389	C₂²×C₃	1	1	yes	characteristic, complemented
518	#389	C₂²×C₃	1	1	yes	characteristic, complemented
519	#389	C₂²×C₃	1	1	yes	characteristic, complemented
520	#388	C₂²×C₃	1	1	yes	characteristic
521	#388	C₂²×C₃	1	1	yes	characteristic
522	#388	C₂²×C₃	1	1	yes	characteristic
523	#388	C₂²×C₃	1	1	yes	characteristic
524	#388	C₂²×C₃	1	1	yes	characteristic
525	#388	C₂²×C₃	1	1	yes	characteristic
526	#388	C₂²×C₃	1	1	yes	characteristic
527	#388	C₂²×C₃	1	1	yes	characteristic
528	#388	C₂²×C₃	1	1	yes	characteristic, complemented
529	#388	C₂²×C₃	1	1	yes	characteristic, complemented
530	#387	C₂²×C₃	1	1	yes	characteristic, complemented
531	#387	C₂²×C₃	1	1	yes	characteristic, complemented
532	#386	C₂²×C₃	1	1	yes	characteristic
533	#386	C₂²×C₃	1	1	yes	characteristic
534	#386	C₂²×C₃	1	1	yes	characteristic
535	#386	C₂²×C₃	1	1	yes	characteristic
536	#386	C₂²×C₃	1	1	yes	characteristic
537	#386	C₂²×C₃	1	1	yes	characteristic
538	#386	C₂²×C₃	1	1	yes	characteristic
539	#386	C₂²×C₃	1	1	yes	characteristic
540	#386	C₂²×C₃	1	1	yes	characteristic
541	#386	C₂²×C₃	1	1	yes	characteristic
542	#386	C₂²×C₃	1	1	yes	characteristic
543	#386	C₂²×C₃	1	1	yes	characteristic
544	#386	C₂²×C₃	1	1	yes	characteristic
545	#386	C₂²×C₃	1	1	yes	characteristic, complemented
546	#386	C₂²×C₃	1	1	yes	characteristic, complemented
547	#386	C₂²×C₃	1	1	yes	characteristic, complemented
548	#386	C₂²×C₃	1	1	yes	characteristic, complemented
549	#386	C₂²×C₃	1	1	yes	characteristic, complemented
550	#385	C₂²×C₃	1	1	yes	characteristic
551	#385	C₂²×C₃	1	1	yes	characteristic
552	#385	C₂²×C₃	1	1	yes	characteristic, complemented
553	#385	C₂²×C₃	1	1	yes	characteristic, complemented
554	#385	C₂²×C₃	1	1	yes	characteristic, complemented
555	#385	C₂²×C₃	1	1	yes	characteristic, complemented
556	#385	C₂²×C₃	1	1	yes	characteristic, complemented
557	#385	C₂²×C₃	1	1	yes	characteristic, complemented
558	#385	C₂²×C₃	1	1	yes	characteristic, complemented
559	#385	C₂²×C₃	1	1	yes	characteristic, complemented
560	#381	C₂²×C₃	1	1	yes	characteristic
561	#381	C₂²×C₃	1	1	yes	characteristic, complemented
562	#381	C₂²×C₃	1	1	yes	characteristic, complemented
563	#381	C₂²×C₃	1	1	yes	characteristic, complemented
564	#380	C₂²×C₃	1	1	yes	characteristic
565	#380	C₂²×C₃	1	1	yes	characteristic
566	#380	C₂²×C₃	1	1	yes	characteristic, complemented
567	#380	C₂²×C₃	1	1	yes	characteristic, complemented
568	#379	C₂²×C₃	1	1	yes	characteristic
569	#379	C₂²×C₃	1	1	yes	characteristic
570	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
571	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
572	C₂×#95	C₂²×C₃	1	1	yes	characteristic, complemented
573	C₂×#95	C₂²×C₃	1	1	yes	characteristic, complemented
574	C₂⁴×C₃	—	2	2	no	—
575	C₂⁴×C₃	—	4	1	no	—
576	C₂⁴×C₃	—	4	1	no	—
577	C₂⁴×C₃	—	4	1	no	—
578	C₂⁴×C₃	—	4	1	no	—
579	C₂⁴×C₃	—	4	1	no	—
580	C₂⁴×C₃	—	4	1	no	—
581	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
582	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
583	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
584	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
585	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
586	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
587	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
588	C₂×C₃×D₄	—	2	2	no	—
589	C₂×C₃×D₄	—	2	2	no	—
590	C₂×C₃×D₄	—	2	2	no	—
591	C₂×C₃×D₄	—	2	2	no	—
592	C₂×C₃×D₄	—	2	2	no	—
593	C₂×C₃×D₄	—	2	2	no	—
594	C₂×C₃×D₄	—	2	2	no	—
595	C₂×C₃×D₄	—	2	2	no	—
596	C₂×C₃×D₄	—	2	2	no	—
597	C₂×C₃×D₄	—	2	2	no	—
598	C₂×C₃×D₄	—	2	2	no	—
599	C₂×C₃×D₄	—	4	1	no	—
600	C₂×C₃×D₄	—	4	1	no	—
601	C₂×C₃×D₄	—	4	1	no	—
602	C₂×C₃×D₄	—	4	1	no	—
603	C₂×C₃×D₄	—	4	1	no	—
604	C₂×C₃×D₄	—	4	1	no	—
605	C₂×C₃×D₄	—	4	1	no	—
606	C₂×C₃×D₄	—	4	1	no	—
607	C₂×C₃×D₄	—	4	1	no	—
608	C₂×C₃×D₄	—	4	1	no	—
609	C₂×C₃×D₄	—	4	1	no	—
610	C₂×C₃×D₄	—	4	1	no	—
611	C₂×C₃×D₄	—	4	1	no	—
612	C₂×C₃×D₄	—	4	1	no	—
613	C₂×C₃×D₄	—	4	1	no	—
614	C₂×C₃×D₄	—	4	1	no	—
615	C₂×C₃×D₄	—	4	1	no	—
616	C₂×C₃×D₄	—	4	1	no	—
617	C₂×C₃×D₄	—	4	1	no	—
618	C₂×C₃×D₄	—	4	1	no	—
619	C₂×C₃×D₄	—	4	1	no	—
620	C₂×C₃×D₄	—	4	1	no	—
621	C₂×C₃×D₄	—	4	1	no	—
622	C₂×C₃×D₄	—	4	1	no	—
623	C₂×C₃×D₄	—	4	1	no	—
624	C₂×C₃×D₄	—	4	1	no	—
625	C₂×C₃×D₄	—	4	1	no	—
626	C₂×C₃×D₄	—	4	1	no	—
627	C₂×C₃×D₄	—	4	1	no	—
628	C₂×C₃×D₄	—	4	1	no	—
629	C₂×C₃×D₄	—	4	1	no	—
630	C₂×C₃×D₄	—	4	1	no	—
631	C₂×C₃×D₄	—	4	1	no	—
632	C₂×C₃×D₄	—	4	1	no	—
633	C₂×C₃×D₄	—	4	1	no	—
634	C₂×C₃×D₄	—	4	1	no	—
635	C₂×C₃×D₄	—	4	1	no	—
636	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
637	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
638	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
639	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
640	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
641	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
642	C₂²×C₃×C₄	—	2	2	no	—
643	C₂²×C₃×C₄	—	2	2	no	—
644	C₂²×C₃×C₄	—	2	2	no	—
645	C₂²×C₃×C₄	—	2	2	no	—
646	C₂²×C₃×C₄	—	2	2	no	—
647	C₂²×C₃×C₄	—	2	2	no	—
648	C₂²×C₃×C₄	—	2	2	no	—
649	C₂²×C₃×C₄	—	2	2	no	—
650	C₂²×C₃×C₄	—	2	2	no	—
651	C₂²×C₃×C₄	—	2	2	no	—
652	C₂²×C₃×C₄	—	2	2	no	—
653	C₂²×C₃×C₄	—	2	2	no	—
654	C₂²×C₃×C₄	—	4	1	no	—
655	C₂²×C₃×C₄	—	4	1	no	—
656	C₂²×C₃×C₄	—	4	1	no	—
657	C₂²×C₃×C₄	—	4	1	no	—
658	C₂²×C₃×C₄	—	4	1	no	—
659	C₂²×C₃×C₄	—	4	1	no	—
660	C₂²×C₃×C₄	—	4	1	no	—
661	C₂²×C₃×C₄	—	4	1	no	—
662	C₂²×C₃×C₄	—	4	1	no	—
663	C₂²×C₃×C₄	—	4	1	no	—
664	C₂²×C₃×C₄	—	4	1	no	—
665	C₂²×C₃×C₄	—	4	1	no	—
666	C₂²×C₃×C₄	—	4	1	no	—
667	C₂²×C₃×C₄	—	4	1	no	—
668	C₂²×C₃×C₄	—	4	1	no	—
669	C₂²×C₃×C₄	—	4	1	no	—
670	C₂²×C₃×C₄	—	4	1	no	—
671	C₂²×C₃×C₄	—	4	1	no	—
672	C₂²×C₃×C₄	—	4	1	no	—
673	C₂²×C₃×C₄	—	4	1	no	—
674	C₂²×C₃×C₄	—	4	1	no	—
675	C₂²×C₃×C₄	—	4	1	no	—
676	C₂²×C₃×C₄	—	4	1	no	—
677	C₂²×C₃×C₄	—	4	1	no	—
678	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
679	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
680	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
681	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
682	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
683	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
684	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
685	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
686	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
687	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
688	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
689	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
690	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
691	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
692	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
693	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
694	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
695	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
696	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
697	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
698	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
699	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
700	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
701	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
702	C₃×C₄⋊C₄	—	2	2	no	—
703	C₃×C₄⋊C₄	—	2	2	no	—
704	C₃×C₄⋊C₄	—	2	2	no	—
705	C₃×C₄⋊C₄	—	2	2	no	—
706	C₃×C₄⋊C₄	—	2	2	no	—
707	C₃×C₄⋊C₄	—	2	2	no	—
708	C₃×C₄⋊C₄	—	2	2	no	—
709	C₃×C₄⋊C₄	—	2	2	no	—
710	C₃×C₄⋊C₄	—	2	2	no	—
711	C₃×C₄⋊C₄	—	2	2	no	—
712	C₃×C₄⋊C₄	—	2	2	no	—
713	C₃×C₄⋊C₄	—	2	2	no	—
714	C₃×C₄⋊C₄	—	2	2	no	—
715	C₃×C₄⋊C₄	—	2	2	no	—
716	C₃×C₄⋊C₄	—	2	2	no	—
717	C₃×C₄⋊C₄	—	2	2	no	—
718	C₃×C₄⋊C₄	—	2	2	no	—
719	C₃×C₄⋊C₄	—	2	2	no	—
720	C₃×C₄⋊C₄	—	2	2	no	—
721	C₃×C₄⋊C₄	—	4	1	no	—
722	C₃×C₄⋊C₄	—	4	1	no	—
723	C₃×C₄⋊C₄	—	4	1	no	—
724	C₃×C₄⋊C₄	—	4	1	no	—
725	C₃×C₄⋊C₄	—	4	1	no	—
726	C₃×C₄⋊C₄	—	4	1	no	—
727	C₃×C₄⋊C₄	—	4	1	no	—
728	C₃×C₄⋊C₄	—	4	1	no	—
729	C₃×C₄⋊C₄	—	4	1	no	—
730	C₃×C₄⋊C₄	—	4	1	no	—
731	C₃×C₄⋊C₄	—	4	1	no	—
732	C₃×C₄⋊C₄	—	4	1	no	—
733	C₃×C₄⋊C₄	—	4	1	no	—
734	C₃×C₂²⋊C₄	—	2	2	no	—
735	C₃×C₂²⋊C₄	—	2	2	no	—
736	C₃×C₂²⋊C₄	—	2	2	no	—
737	C₃×C₂²⋊C₄	—	2	2	no	—
738	C₃×C₂²⋊C₄	—	2	2	no	—
739	C₃×C₂²⋊C₄	—	2	2	no	—
740	C₃×C₂²⋊C₄	—	2	2	no	—
741	C₃×C₂²⋊C₄	—	2	2	no	—
742	C₃×C₂²⋊C₄	—	2	2	no	—
743	C₃×C₂²⋊C₄	—	2	2	no	—
744	C₃×C₂²⋊C₄	—	2	2	no	—
745	C₃×C₂²⋊C₄	—	2	2	no	—
746	C₃×C₂²⋊C₄	—	2	2	no	—
747	C₃×C₂²⋊C₄	—	2	2	no	—
748	C₃×C₂²⋊C₄	—	2	2	no	—
749	C₃×C₂²⋊C₄	—	2	2	no	—
750	C₃×C₂²⋊C₄	—	2	2	no	—
751	C₃×C₂²⋊C₄	—	2	2	no	—
752	C₃×C₂²⋊C₄	—	2	2	no	—
753	C₃×C₂²⋊C₄	—	2	2	no	—
754	C₃×C₂²⋊C₄	—	2	2	no	—
755	C₃×C₂²⋊C₄	—	2	2	no	—
756	C₃×C₂²⋊C₄	—	2	2	no	—
757	C₃×C₂²⋊C₄	—	2	2	no	—
758	C₃×C₂²⋊C₄	—	2	2	no	—
759	C₃×C₂²⋊C₄	—	2	2	no	—
760	C₃×C₂²⋊C₄	—	2	2	no	—
761	C₃×C₂²⋊C₄	—	2	2	no	—
762	C₃×C₂²⋊C₄	—	2	2	no	—
763	C₃×C₂²⋊C₄	—	2	2	no	—
764	C₃×C₂²⋊C₄	—	4	1	no	—
765	C₃×C₂²⋊C₄	—	4	1	no	—
766	C₃×C₂²⋊C₄	—	4	1	no	—
767	C₃×C₂²⋊C₄	—	4	1	no	—
768	C₃×C₂²⋊C₄	—	4	1	no	—
769	C₃×C₂²⋊C₄	—	4	1	no	—
770	C₃×C₂²⋊C₄	—	4	1	no	—
771	C₃×C₂²⋊C₄	—	4	1	no	—
772	C₃×C₂²⋊C₄	—	4	1	no	—
773	C₃×C₂²⋊C₄	—	4	1	no	—
774	C₃×C₂²⋊C₄	—	4	1	no	—
775	C₃×C₂²⋊C₄	—	4	1	no	—
776	C₃×C₂²⋊C₄	—	4	1	no	—
777	C₃×C₂²⋊C₄	—	4	1	no	—
778	C₃×C₂²⋊C₄	—	4	1	no	—
779	C₃×C₂²⋊C₄	—	4	1	no	—
780	C₃×C₂²⋊C₄	—	4	1	no	—
781	C₃×C₂²⋊C₄	—	4	1	no	—
782	C₃×C₂²⋊C₄	—	4	1	no	—
783	C₃×C₂²⋊C₄	—	4	1	no	—
784	C₃×C₂²⋊C₄	—	4	1	no	—
785	C₃×C₂²⋊C₄	—	4	1	no	—
786	C₃×C₂²⋊C₄	—	4	1	no	—
787	C₃×C₂²⋊C₄	—	4	1	no	—
788	C₃×C₄²	—	2	2	no	—
789	C₃×C₄²	—	4	1	no	—
790	C₃×C₄²	—	4	1	no	—
791	C₃×C₄²	—	4	1	no	—
792	C₃×C₄²	—	4	1	no	—
793	C₃×C₄²	C₂×D₄	1	4	yes	—
794	C₂⁵	C₂³×C₃	1	1	yes	characteristic
795	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
796	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
797	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
798	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
799	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
800	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
801	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
802	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
803	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
804	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
805	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
806	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
807	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
808	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
809	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
810	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
811	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
812	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
813	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
814	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
815	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
816	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
817	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
818	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
819	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
820	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
821	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
822	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
823	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
824	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
825	#127	C₃×D₄	1	8	yes	complemented
826	#126	—	2	4	no	—
827	#126	—	2	4	no	—
828	#125	—	2	4	no	—
829	#123	—	2	4	no	—
830	#123	—	2	4	no	—
831	#123	—	2	4	no	—
832	#123	—	2	4	no	—
833	#123	—	2	4	no	—
834	#123	—	2	4	no	—
835	#123	—	2	4	no	—
836	#123	—	4	2	no	—
837	#123	—	4	2	no	—
838	#123	—	4	2	no	—
839	#121	—	2	4	no	—
840	#121	—	2	4	no	—
841	#121	—	2	4	no	—
842	#121	—	2	4	no	—
843	#121	—	2	4	no	—
844	#121	—	2	4	no	—
845	#121	—	2	4	no	—
846	#121	—	2	4	no	—
847	#121	—	2	4	no	—
848	#121	—	2	4	no	—
849	#121	—	2	4	no	—
850	#121	—	2	4	no	—
851	#121	—	4	2	no	—
852	#121	—	4	2	no	—
853	#120	—	2	4	no	—
854	#120	—	2	4	no	—
855	#120	—	2	4	no	—
856	#120	—	4	2	no	—
857	C₄×D₄	—	2	4	no	—
858	C₄×D₄	—	2	4	no	—
859	C₄×D₄	—	4	2	no	—
860	C₄×D₄	—	4	2	no	—
861	C₄×D₄	—	4	2	no	—
862	C₄×D₄	—	4	2	no	—
863	#117	—	2	4	no	—
864	C₂×C₄⋊C₄	—	4	2	no	—
865	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
866	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
867	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
868	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
869	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
870	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
871	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
872	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
873	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
874	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
875	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
876	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
878	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
879	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
880	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
881	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
882	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
883	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
884	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
885	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
886	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
887	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
888	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
889	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
890	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
891	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
892	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
895	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
897	C₂×C₂²⋊C₄	—	4	2	no	—
898	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
899	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
900	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
901	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
902	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
903	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
904	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
905	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
906	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
907	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
908	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
909	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
910	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
911	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
912	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
913	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
914	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
915	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
916	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
917	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
918	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
919	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
920	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
921	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
923	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
926	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
928	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
929	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
930	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
931	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
932	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
933	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
934	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
935	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
936	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
937	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
939	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
940	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
941	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
942	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
947	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
948	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
949	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
950	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
951	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
952	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
953	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
954	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
955	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
956	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
957	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
958	#95	C₂³×C₃	1	1	yes	characteristic
959	#95	C₂³×C₃	1	1	yes	characteristic
960	#95	C₂³×C₃	1	1	yes	characteristic
961	#95	C₂³×C₃	1	1	yes	characteristic
962	#95	C₂³×C₃	1	1	yes	characteristic
963	#95	C₂³×C₃	1	1	yes	characteristic
964	#95	C₂³×C₃	1	1	yes	characteristic
965	#95	C₂³×C₃	1	1	yes	characteristic
966	#95	C₂³×C₃	1	1	yes	characteristic
967	#95	C₂³×C₃	1	1	yes	characteristic
968	#95	C₂³×C₃	1	1	yes	characteristic
969	#95	C₂³×C₃	1	1	yes	characteristic
970	#95	C₂³×C₃	1	1	yes	characteristic
971	#95	C₂³×C₃	1	1	yes	characteristic
972	#95	C₂³×C₃	1	1	yes	characteristic
973	#95	C₂³×C₃	1	1	yes	characteristic
974	#95	C₂³×C₃	1	1	yes	characteristic
975	#95	C₂³×C₃	1	1	yes	characteristic
976	#95	C₂³×C₃	1	1	yes	characteristic
977	#95	C₂³×C₃	1	1	yes	characteristic
978	#95	C₂³×C₃	1	1	yes	characteristic
979	#95	C₂³×C₃	1	1	yes	characteristic
980	#95	C₂³×C₃	1	1	yes	characteristic
981	#95	C₂³×C₃	1	1	yes	characteristic
982	#95	C₂³×C₃	1	1	yes	characteristic
983	#95	C₂³×C₃	1	1	yes	characteristic
984	#95	C₂³×C₃	1	1	yes	characteristic
985	#95	C₂³×C₃	1	1	yes	characteristic
986	#95	C₂³×C₃	1	1	yes	characteristic
987	#95	C₂³×C₃	1	1	yes	characteristic
988	#95	C₂³×C₃	1	1	yes	characteristic
989	#95	C₂³×C₃	1	1	yes	characteristic
990	C₂³×C₃	—	2	1	no	—
991	C₂³×C₃	—	2	1	no	—
992	C₂³×C₃	—	2	1	no	—
993	C₂³×C₃	—	2	1	no	—
994	C₂³×C₃	—	2	1	no	—
995	C₂³×C₃	—	2	1	no	—
996	C₂³×C₃	—	2	1	no	—
997	C₂³×C₃	—	2	1	no	—
998	C₂³×C₃	—	2	1	no	—
999	C₂³×C₃	—	2	1	no	—
1000	C₂³×C₃	—	2	1	no	—
1001	C₂³×C₃	—	2	1	no	—
1002	C₂³×C₃	—	2	1	no	—
1003	C₂³×C₃	—	2	1	no	—
1004	C₂³×C₃	—	2	1	no	—
1005	C₂³×C₃	—	2	1	no	—
1006	C₂³×C₃	—	2	1	no	—
1007	C₂³×C₃	—	2	1	no	—
1008	C₂³×C₃	—	2	1	no	—
1009	C₂³×C₃	—	2	1	no	—
1010	C₂³×C₃	—	2	1	no	—
1011	C₂³×C₃	—	2	1	no	—
1012	C₂³×C₃	—	2	1	no	—
1013	C₂³×C₃	—	2	1	no	—
1014	C₂³×C₃	—	2	1	no	—
1015	C₂³×C₃	—	2	1	no	—
1016	C₂³×C₃	—	2	1	no	—
1017	C₂³×C₃	—	2	1	no	—
1018	C₂³×C₃	—	2	1	no	—
1019	C₂³×C₃	—	2	1	no	—
1020	C₂³×C₃	—	2	1	no	—
1021	C₂³×C₃	—	2	1	no	—
1022	C₂³×C₃	—	2	1	no	—
1023	C₂³×C₃	—	2	1	no	—
1024	C₂³×C₃	—	2	1	no	—
1025	C₂³×C₃	—	2	1	no	—
1026	C₂³×C₃	—	2	1	no	—
1027	C₂³×C₃	—	2	1	no	—
1028	C₂³×C₃	—	2	1	no	—
1029	C₂³×C₃	—	2	1	no	—
1030	C₂³×C₃	—	2	1	no	—
1031	C₂³×C₃	—	2	1	no	—
1032	C₂³×C₃	—	2	1	no	—
1033	C₂³×C₃	—	2	1	no	—
1034	C₂³×C₃	—	2	1	no	—
1035	C₂³×C₃	—	4	4	no	—
1036	C₂³×C₃	—	8	2	no	—
1037	C₂³×C₃	—	8	2	no	—
1038	C₂³×C₃	—	8	2	no	—
1039	C₂³×C₃	—	8	2	no	—
1040	C₂³×C₃	—	8	2	no	—
1041	C₂³×C₃	—	8	2	no	—
1042	C₂³×C₃	C₂²×D₄	1	2	yes	—
1043	C₂³×C₃	C₂²×D₄	1	2	yes	—
1044	C₂³×C₃	C₂²×D₄	1	2	yes	—
1045	C₂³×C₃	C₂²×D₄	1	2	yes	—
1046	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1047	C₃×D₄	—	4	4	no	—
1048	C₃×D₄	—	4	4	no	—
1049	C₃×D₄	—	4	4	no	—
1050	C₃×D₄	—	4	4	no	—
1051	C₃×D₄	—	4	4	no	—
1052	C₃×D₄	—	4	4	no	—
1053	C₃×D₄	—	8	2	no	—
1054	C₃×D₄	—	8	2	no	—
1055	C₃×D₄	—	8	2	no	—
1056	C₃×D₄	—	8	2	no	—
1057	C₃×D₄	—	8	2	no	—
1058	C₃×D₄	—	8	2	no	—
1059	C₃×D₄	—	8	2	no	—
1060	C₃×D₄	—	8	2	no	—
1061	C₃×D₄	—	8	2	no	—
1062	C₃×D₄	—	8	2	no	—
1063	C₃×D₄	—	8	2	no	—
1064	C₃×D₄	—	8	2	no	—
1065	C₂×C₃×C₄	—	2	1	no	—
1066	C₂×C₃×C₄	—	2	1	no	—
1067	C₂×C₃×C₄	—	2	1	no	—
1068	C₂×C₃×C₄	—	2	1	no	—
1069	C₂×C₃×C₄	—	2	1	no	—
1070	C₂×C₃×C₄	—	2	1	no	—
1071	C₂×C₃×C₄	—	2	1	no	—
1072	C₂×C₃×C₄	—	2	1	no	—
1073	C₂×C₃×C₄	—	2	1	no	—
1074	C₂×C₃×C₄	—	2	1	no	—
1075	C₂×C₃×C₄	—	2	1	no	—
1076	C₂×C₃×C₄	—	2	1	no	—
1077	C₂×C₃×C₄	—	2	1	no	—
1078	C₂×C₃×C₄	—	2	1	no	—
1079	C₂×C₃×C₄	—	2	1	no	—
1080	C₂×C₃×C₄	—	2	1	no	—
1081	C₂×C₃×C₄	—	2	1	no	—
1082	C₂×C₃×C₄	—	2	1	no	—
1083	C₂×C₃×C₄	—	2	1	no	—
1084	C₂×C₃×C₄	—	2	1	no	—
1085	C₂×C₃×C₄	—	2	1	no	—
1086	C₂×C₃×C₄	—	2	1	no	—
1087	C₂×C₃×C₄	—	2	1	no	—
1088	C₂×C₃×C₄	—	2	1	no	—
1089	C₂×C₃×C₄	—	2	1	no	—
1090	C₂×C₃×C₄	—	2	1	no	—
1091	C₂×C₃×C₄	—	2	1	no	—
1092	C₂×C₃×C₄	—	2	1	no	—
1093	C₂×C₃×C₄	—	2	1	no	—
1094	C₂×C₃×C₄	—	2	1	no	—
1095	C₂×C₃×C₄	—	2	1	no	—
1096	C₂×C₃×C₄	—	2	1	no	—
1097	C₂×C₃×C₄	—	2	1	no	—
1098	C₂×C₃×C₄	—	2	1	no	—
1099	C₂×C₃×C₄	—	2	1	no	—
1100	C₂×C₃×C₄	—	2	1	no	—
1101	C₂×C₃×C₄	—	2	1	no	—
1102	C₂×C₃×C₄	—	2	1	no	—
1103	C₂×C₃×C₄	—	2	1	no	—
1104	C₂×C₃×C₄	—	2	1	no	—
1105	C₂×C₃×C₄	—	2	1	no	—
1106	C₂×C₃×C₄	—	2	1	no	—
1107	C₂×C₃×C₄	—	2	1	no	—
1108	C₂×C₃×C₄	—	2	1	no	—
1109	C₂×C₃×C₄	—	2	1	no	—
1110	C₂×C₃×C₄	—	2	1	no	—
1111	C₂×C₃×C₄	—	2	1	no	—
1112	C₂×C₃×C₄	—	2	1	no	—
1113	C₂×C₃×C₄	—	2	1	no	—
1114	C₂×C₃×C₄	—	2	1	no	—
1115	C₂×C₃×C₄	—	2	1	no	—
1116	C₂×C₃×C₄	—	2	1	no	—
1117	C₂×C₃×C₄	—	2	1	no	—
1118	C₂×C₃×C₄	—	2	1	no	—
1119	C₂×C₃×C₄	—	2	1	no	—
1120	C₂×C₃×C₄	—	2	1	no	—
1121	C₂×C₃×C₄	—	2	1	no	—
1122	C₂×C₃×C₄	—	2	1	no	—
1123	C₂×C₃×C₄	—	2	1	no	—
1124	C₂×C₃×C₄	—	2	1	no	—
1125	C₂×C₃×C₄	—	2	1	no	—
1126	C₂×C₃×C₄	—	2	1	no	—
1127	C₂×C₃×C₄	—	2	1	no	—
1128	C₂×C₃×C₄	—	2	1	no	—
1129	C₂×C₃×C₄	—	2	1	no	—
1130	C₂×C₃×C₄	—	2	1	no	—
1131	C₂×C₃×C₄	—	2	1	no	—
1132	C₂×C₃×C₄	—	4	4	no	—
1133	C₂×C₃×C₄	—	4	4	no	—
1134	C₂×C₃×C₄	—	8	2	no	—
1135	C₂×C₃×C₄	—	8	2	no	—
1136	C₂×C₃×C₄	—	8	2	no	—
1137	C₂×C₃×C₄	—	8	2	no	—
1138	C₂×C₃×C₄	—	8	2	no	—
1139	C₂×C₃×C₄	—	8	2	no	—
1140	C₂×C₃×C₄	—	8	2	no	—
1141	C₂×C₃×C₄	—	8	2	no	—
1142	C₂×C₃×C₄	—	8	2	no	—
1143	C₂×C₃×C₄	—	8	2	no	—
1144	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1145	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1146	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1147	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1148	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1149	C₂⁴	—	2	2	no	—
1150	C₂⁴	—	4	1	no	—
1151	C₂⁴	—	4	1	no	—
1152	C₂⁴	—	4	1	no	—
1153	C₂⁴	—	4	1	no	—
1154	C₂⁴	—	4	1	no	—
1155	C₂⁴	—	4	1	no	—
1156	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1157	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1158	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1159	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1160	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1161	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1162	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1163	C₂×D₄	—	2	2	no	—
1164	C₂×D₄	—	2	2	no	—
1165	C₂×D₄	—	2	2	no	—
1166	C₂×D₄	—	2	2	no	—
1167	C₂×D₄	—	2	2	no	—
1168	C₂×D₄	—	2	2	no	—
1169	C₂×D₄	—	2	2	no	—
1170	C₂×D₄	—	2	2	no	—
1171	C₂×D₄	—	2	2	no	—
1172	C₂×D₄	—	2	2	no	—
1173	C₂×D₄	—	2	2	no	—
1174	C₂×D₄	—	4	1	no	—
1175	C₂×D₄	—	4	1	no	—
1176	C₂×D₄	—	4	1	no	—
1177	C₂×D₄	—	4	1	no	—
1178	C₂×D₄	—	4	1	no	—
1179	C₂×D₄	—	4	1	no	—
1180	C₂×D₄	—	4	1	no	—
1181	C₂×D₄	—	4	1	no	—
1182	C₂×D₄	—	4	1	no	—
1183	C₂×D₄	—	4	1	no	—
1184	C₂×D₄	—	4	1	no	—
1185	C₂×D₄	—	4	1	no	—
1186	C₂×D₄	—	4	1	no	—
1187	C₂×D₄	—	4	1	no	—
1188	C₂×D₄	—	4	1	no	—
1189	C₂×D₄	—	4	1	no	—
1190	C₂×D₄	—	4	1	no	—
1191	C₂×D₄	—	4	1	no	—
1192	C₂×D₄	—	4	1	no	—
1193	C₂×D₄	—	4	1	no	—
1194	C₂×D₄	—	4	1	no	—
1195	C₂×D₄	—	4	1	no	—
1196	C₂×D₄	—	4	1	no	—
1197	C₂×D₄	—	4	1	no	—
1198	C₂×D₄	—	4	1	no	—
1199	C₂×D₄	—	4	1	no	—
1200	C₂×D₄	—	4	1	no	—
1201	C₂×D₄	—	4	1	no	—
1202	C₂×D₄	—	4	1	no	—
1203	C₂×D₄	—	4	1	no	—
1204	C₂×D₄	—	4	1	no	—
1205	C₂×D₄	—	4	1	no	—
1206	C₂×D₄	—	4	1	no	—
1207	C₂×D₄	—	4	1	no	—
1208	C₂×D₄	—	4	1	no	—
1209	C₂×D₄	—	4	1	no	—
1210	C₂×D₄	—	4	1	no	—
1211	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
1212	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
1213	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
1214	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
1215	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
1216	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
1217	C₂²×C₄	—	2	2	no	—
1218	C₂²×C₄	—	2	2	no	—
1219	C₂²×C₄	—	2	2	no	—
1220	C₂²×C₄	—	2	2	no	—
1221	C₂²×C₄	—	2	2	no	—
1222	C₂²×C₄	—	2	2	no	—
1223	C₂²×C₄	—	2	2	no	—
1224	C₂²×C₄	—	2	2	no	—
1225	C₂²×C₄	—	2	2	no	—
1226	C₂²×C₄	—	2	2	no	—
1227	C₂²×C₄	—	2	2	no	—
1228	C₂²×C₄	—	2	2	no	—
1229	C₂²×C₄	—	4	1	no	—
1230	C₂²×C₄	—	4	1	no	—
1231	C₂²×C₄	—	4	1	no	—
1232	C₂²×C₄	—	4	1	no	—
1233	C₂²×C₄	—	4	1	no	—
1234	C₂²×C₄	—	4	1	no	—
1235	C₂²×C₄	—	4	1	no	—
1236	C₂²×C₄	—	4	1	no	—
1237	C₂²×C₄	—	4	1	no	—
1238	C₂²×C₄	—	4	1	no	—
1239	C₂²×C₄	—	4	1	no	—
1240	C₂²×C₄	—	4	1	no	—
1241	C₂²×C₄	—	4	1	no	—
1242	C₂²×C₄	—	4	1	no	—
1243	C₂²×C₄	—	4	1	no	—
1244	C₂²×C₄	—	4	1	no	—
1245	C₂²×C₄	—	4	1	no	—
1246	C₂²×C₄	—	4	1	no	—
1247	C₂²×C₄	—	4	1	no	—
1248	C₂²×C₄	—	4	1	no	—
1249	C₂²×C₄	—	4	1	no	—
1250	C₂²×C₄	—	4	1	no	—
1251	C₂²×C₄	—	4	1	no	—
1252	C₂²×C₄	—	4	1	no	—
1253	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1254	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1255	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1256	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1257	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1258	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1259	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1260	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1261	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1262	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1263	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1264	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1265	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1266	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1267	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1268	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1269	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1270	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1271	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1272	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1273	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1274	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1275	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1276	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1277	C₄⋊C₄	—	2	2	no	—
1278	C₄⋊C₄	—	2	2	no	—
1279	C₄⋊C₄	—	2	2	no	—
1280	C₄⋊C₄	—	2	2	no	—
1281	C₄⋊C₄	—	2	2	no	—
1282	C₄⋊C₄	—	2	2	no	—
1283	C₄⋊C₄	—	2	2	no	—
1284	C₄⋊C₄	—	2	2	no	—
1285	C₄⋊C₄	—	2	2	no	—
1286	C₄⋊C₄	—	2	2	no	—
1287	C₄⋊C₄	—	2	2	no	—
1288	C₄⋊C₄	—	2	2	no	—
1289	C₄⋊C₄	—	2	2	no	—
1290	C₄⋊C₄	—	2	2	no	—
1291	C₄⋊C₄	—	2	2	no	—
1292	C₄⋊C₄	—	2	2	no	—
1293	C₄⋊C₄	—	2	2	no	—
1294	C₄⋊C₄	—	2	2	no	—
1295	C₄⋊C₄	—	2	2	no	—
1296	C₄⋊C₄	—	4	1	no	—
1297	C₄⋊C₄	—	4	1	no	—
1298	C₄⋊C₄	—	4	1	no	—
1299	C₄⋊C₄	—	4	1	no	—
1300	C₄⋊C₄	—	4	1	no	—
1301	C₄⋊C₄	—	4	1	no	—
1302	C₄⋊C₄	—	4	1	no	—
1303	C₄⋊C₄	—	4	1	no	—
1304	C₄⋊C₄	—	4	1	no	—
1305	C₄⋊C₄	—	4	1	no	—
1306	C₄⋊C₄	—	4	1	no	—
1307	C₄⋊C₄	—	4	1	no	—
1308	C₄⋊C₄	—	4	1	no	—
1309	C₂²⋊C₄	—	2	2	no	—
1310	C₂²⋊C₄	—	2	2	no	—
1311	C₂²⋊C₄	—	2	2	no	—
1312	C₂²⋊C₄	—	2	2	no	—
1313	C₂²⋊C₄	—	2	2	no	—
1314	C₂²⋊C₄	—	2	2	no	—
1315	C₂²⋊C₄	—	2	2	no	—
1316	C₂²⋊C₄	—	2	2	no	—
1317	C₂²⋊C₄	—	2	2	no	—
1318	C₂²⋊C₄	—	2	2	no	—
1319	C₂²⋊C₄	—	2	2	no	—
1320	C₂²⋊C₄	—	2	2	no	—
1321	C₂²⋊C₄	—	2	2	no	—
1322	C₂²⋊C₄	—	2	2	no	—
1323	C₂²⋊C₄	—	2	2	no	—
1324	C₂²⋊C₄	—	2	2	no	—
1325	C₂²⋊C₄	—	2	2	no	—
1326	C₂²⋊C₄	—	2	2	no	—
1327	C₂²⋊C₄	—	2	2	no	—
1328	C₂²⋊C₄	—	2	2	no	—
1329	C₂²⋊C₄	—	2	2	no	—
1330	C₂²⋊C₄	—	2	2	no	—
1331	C₂²⋊C₄	—	2	2	no	—
1332	C₂²⋊C₄	—	2	2	no	—
1333	C₂²⋊C₄	—	2	2	no	—
1334	C₂²⋊C₄	—	2	2	no	—
1335	C₂²⋊C₄	—	2	2	no	—
1336	C₂²⋊C₄	—	2	2	no	—
1337	C₂²⋊C₄	—	2	2	no	—
1338	C₂²⋊C₄	—	2	2	no	—
1339	C₂²⋊C₄	—	4	1	no	—
1340	C₂²⋊C₄	—	4	1	no	—
1341	C₂²⋊C₄	—	4	1	no	—
1342	C₂²⋊C₄	—	4	1	no	—
1343	C₂²⋊C₄	—	4	1	no	—
1344	C₂²⋊C₄	—	4	1	no	—
1345	C₂²⋊C₄	—	4	1	no	—
1346	C₂²⋊C₄	—	4	1	no	—
1347	C₂²⋊C₄	—	4	1	no	—
1348	C₂²⋊C₄	—	4	1	no	—
1349	C₂²⋊C₄	—	4	1	no	—
1350	C₂²⋊C₄	—	4	1	no	—
1351	C₂²⋊C₄	—	4	1	no	—
1352	C₂²⋊C₄	—	4	1	no	—
1353	C₂²⋊C₄	—	4	1	no	—
1354	C₂²⋊C₄	—	4	1	no	—
1355	C₂²⋊C₄	—	4	1	no	—
1356	C₂²⋊C₄	—	4	1	no	—
1357	C₂²⋊C₄	—	4	1	no	—
1358	C₂²⋊C₄	—	4	1	no	—
1359	C₂²⋊C₄	—	4	1	no	—
1360	C₂²⋊C₄	—	4	1	no	—
1361	C₂²⋊C₄	—	4	1	no	—
1362	C₂²⋊C₄	—	4	1	no	—
1363	C₄²	—	2	2	no	—
1364	C₄²	—	4	1	no	—
1365	C₄²	—	4	1	no	—
1366	C₄²	—	4	1	no	—
1367	C₄²	—	4	1	no	—
1368	C₄²	C₂×C₃×D₄	1	4	yes	—
1369	C₂²×C₃	—	2	2	no	—
1370	C₂²×C₃	—	2	2	no	—
1371	C₂²×C₃	—	2	2	no	—
1372	C₂²×C₃	—	2	2	no	—
1373	C₂²×C₃	—	2	2	no	—
1374	C₂²×C₃	—	2	2	no	—
1375	C₂²×C₃	—	2	2	no	—
1376	C₂²×C₃	—	2	2	no	—
1377	C₂²×C₃	—	2	2	no	—
1378	C₂²×C₃	—	2	2	no	—
1379	C₂²×C₃	—	2	2	no	—
1380	C₂²×C₃	—	2	2	no	—
1381	C₂²×C₃	—	4	1	no	—
1382	C₂²×C₃	—	4	1	no	—
1383	C₂²×C₃	—	4	1	no	—
1384	C₂²×C₃	—	4	1	no	—
1385	C₂²×C₃	—	4	1	no	—
1386	C₂²×C₃	—	4	1	no	—
1387	C₂²×C₃	—	4	1	no	—
1388	C₂²×C₃	—	4	1	no	—
1389	C₂²×C₃	—	4	1	no	—
1390	C₂²×C₃	—	4	1	no	—
1391	C₂²×C₃	—	4	1	no	—
1392	C₂²×C₃	—	4	1	no	—
1393	C₂²×C₃	—	4	1	no	—
1394	C₂²×C₃	—	4	1	no	—
1395	C₂²×C₃	—	4	1	no	—
1396	C₂²×C₃	—	4	1	no	—
1397	C₂²×C₃	—	4	1	no	—
1398	C₂²×C₃	—	4	1	no	—
1399	C₂²×C₃	—	4	1	no	—
1400	C₂²×C₃	—	4	1	no	—
1401	C₂²×C₃	—	4	1	no	—
1402	C₂²×C₃	—	4	1	no	—
1403	C₂²×C₃	—	4	1	no	—
1404	C₂²×C₃	—	4	1	no	—
1405	C₂²×C₃	—	4	1	no	—
1406	C₂²×C₃	—	4	1	no	—
1407	C₂²×C₃	—	4	1	no	—
1408	C₂²×C₃	—	4	1	no	—
1409	C₂²×C₃	—	4	1	no	—
1410	C₂²×C₃	—	4	1	no	—
1411	C₂²×C₃	—	4	1	no	—
1412	C₂²×C₃	—	4	1	no	—
1413	C₂²×C₃	—	4	1	no	—
1414	C₂²×C₃	—	4	1	no	—
1415	C₂²×C₃	—	4	1	no	—
1416	C₂²×C₃	—	4	1	no	—
1417	C₂²×C₃	—	4	1	no	—
1418	C₂²×C₃	—	8	8	no	—
1419	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1420	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1421	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1422	C₂²×C₃	#585	1	1	yes	characteristic
1423	C₂²×C₃	#585	1	1	yes	characteristic
1424	C₂²×C₃	#585	1	1	yes	characteristic
1425	C₂²×C₃	#585	1	1	yes	characteristic
1426	C₃×C₄	—	2	2	no	—
1427	C₃×C₄	—	2	2	no	—
1428	C₃×C₄	—	2	2	no	—
1429	C₃×C₄	—	2	2	no	—
1430	C₃×C₄	—	2	2	no	—
1431	C₃×C₄	—	4	1	no	—
1432	C₃×C₄	—	4	1	no	—
1433	C₃×C₄	—	4	1	no	—
1434	C₃×C₄	—	4	1	no	—
1435	C₃×C₄	—	4	1	no	—
1436	C₃×C₄	—	4	1	no	—
1437	C₃×C₄	—	4	1	no	—
1438	C₃×C₄	—	4	1	no	—
1439	C₃×C₄	—	4	1	no	—
1440	C₃×C₄	—	4	1	no	—
1441	C₃×C₄	—	4	1	no	—
1442	C₃×C₄	—	4	1	no	—
1443	C₃×C₄	—	4	1	no	—
1444	C₃×C₄	—	4	1	no	—
1445	C₃×C₄	—	4	1	no	—
1446	C₃×C₄	—	4	1	no	—
1447	C₃×C₄	—	4	1	no	—
1448	C₃×C₄	—	4	1	no	—
1449	C₃×C₄	—	4	1	no	—
1450	C₂³	—	2	1	no	—
1451	C₂³	—	2	1	no	—
1452	C₂³	—	2	1	no	—
1453	C₂³	—	2	1	no	—
1454	C₂³	—	2	1	no	—
1455	C₂³	—	2	1	no	—
1456	C₂³	—	2	1	no	—
1457	C₂³	—	2	1	no	—
1458	C₂³	—	2	1	no	—
1459	C₂³	—	2	1	no	—
1460	C₂³	—	2	1	no	—
1461	C₂³	—	2	1	no	—
1462	C₂³	—	2	1	no	—
1463	C₂³	—	2	1	no	—
1464	C₂³	—	2	1	no	—
1465	C₂³	—	2	1	no	—
1466	C₂³	—	2	1	no	—
1467	C₂³	—	2	1	no	—
1468	C₂³	—	2	1	no	—
1469	C₂³	—	2	1	no	—
1470	C₂³	—	2	1	no	—
1471	C₂³	—	2	1	no	—
1472	C₂³	—	2	1	no	—
1473	C₂³	—	2	1	no	—
1474	C₂³	—	2	1	no	—
1475	C₂³	—	2	1	no	—
1476	C₂³	—	2	1	no	—
1477	C₂³	—	2	1	no	—
1478	C₂³	—	2	1	no	—
1479	C₂³	—	2	1	no	—
1480	C₂³	—	2	1	no	—
1481	C₂³	—	2	1	no	—
1482	C₂³	—	2	1	no	—
1483	C₂³	—	2	1	no	—
1484	C₂³	—	2	1	no	—
1485	C₂³	—	2	1	no	—
1486	C₂³	—	2	1	no	—
1487	C₂³	—	2	1	no	—
1488	C₂³	—	2	1	no	—
1489	C₂³	—	2	1	no	—
1490	C₂³	—	2	1	no	—
1491	C₂³	—	2	1	no	—
1492	C₂³	—	2	1	no	—
1493	C₂³	—	2	1	no	—
1494	C₂³	—	2	1	no	—
1495	C₂³	—	4	4	no	—
1496	C₂³	—	8	2	no	—
1497	C₂³	—	8	2	no	—
1498	C₂³	—	8	2	no	—
1499	C₂³	—	8	2	no	—
1500	C₂³	—	8	2	no	—
1501	C₂³	—	8	2	no	—
1502	C₂³	C₂²×C₃×D₄	1	2	yes	—
1503	C₂³	C₂²×C₃×D₄	1	2	yes	—
1504	C₂³	C₂²×C₃×D₄	1	2	yes	—
1505	C₂³	C₂²×C₃×D₄	1	2	yes	—
1506	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1507	D₄	—	4	4	no	—
1508	D₄	—	4	4	no	—
1509	D₄	—	4	4	no	—
1510	D₄	—	4	4	no	—
1511	D₄	—	4	4	no	—
1512	D₄	—	4	4	no	—
1513	D₄	—	8	2	no	—
1514	D₄	—	8	2	no	—
1515	D₄	—	8	2	no	—
1516	D₄	—	8	2	no	—
1517	D₄	—	8	2	no	—
1518	D₄	—	8	2	no	—
1519	D₄	—	8	2	no	—
1520	D₄	—	8	2	no	—
1521	D₄	—	8	2	no	—
1522	D₄	—	8	2	no	—
1523	D₄	—	8	2	no	—
1524	D₄	—	8	2	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	4	4	no	—
1593	C₂×C₄	—	4	4	no	—
1594	C₂×C₄	—	8	2	no	—
1595	C₂×C₄	—	8	2	no	—
1596	C₂×C₄	—	8	2	no	—
1597	C₂×C₄	—	8	2	no	—
1598	C₂×C₄	—	8	2	no	—
1599	C₂×C₄	—	8	2	no	—
1600	C₂×C₄	—	8	2	no	—
1601	C₂×C₄	—	8	2	no	—
1602	C₂×C₄	—	8	2	no	—
1603	C₂×C₄	—	8	2	no	—
1604	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1605	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1606	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1607	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1608	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1609	C₂×C₃	—	4	2	no	—
1610	C₂×C₃	—	4	2	no	—
1611	C₂×C₃	—	4	2	no	—
1612	C₂×C₃	—	4	2	no	—
1613	C₂×C₃	—	8	1	no	—
1614	C₂×C₃	—	8	1	no	—
1615	C₂×C₃	—	8	1	no	—
1616	C₂×C₃	#3485	1	1	yes	characteristic
1617	C₂×C₃	#3496	1	1	yes	characteristic
1618	C₂×C₃	#3496	1	1	yes	characteristic
1619	C₂×C₃	#3534	1	1	yes	characteristic
1620	C₂×C₃	#3539	1	1	yes	characteristic
1621	C₂×C₃	#3562	1	1	yes	characteristic
1622	C₂×C₃	#3566	1	1	yes	characteristic
1623	C₂²	—	2	2	no	—
1624	C₂²	—	2	2	no	—
1625	C₂²	—	2	2	no	—
1626	C₂²	—	2	2	no	—
1627	C₂²	—	2	2	no	—
1628	C₂²	—	2	2	no	—
1629	C₂²	—	2	2	no	—
1630	C₂²	—	2	2	no	—
1631	C₂²	—	2	2	no	—
1632	C₂²	—	2	2	no	—
1633	C₂²	—	2	2	no	—
1634	C₂²	—	2	2	no	—
1635	C₂²	—	4	1	no	—
1636	C₂²	—	4	1	no	—
1637	C₂²	—	4	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	4	1	no	—
1643	C₂²	—	4	1	no	—
1644	C₂²	—	4	1	no	—
1645	C₂²	—	4	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	8	8	no	—
1673	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1674	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1675	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1676	C₂²	C₃×#585	1	1	yes	characteristic
1677	C₂²	C₃×#585	1	1	yes	characteristic
1678	C₂²	C₃×#585	1	1	yes	characteristic
1679	C₂²	C₃×#585	1	1	yes	characteristic
1680	C₄	—	2	2	no	—
1681	C₄	—	2	2	no	—
1682	C₄	—	2	2	no	—
1683	C₄	—	2	2	no	—
1684	C₄	—	2	2	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	—	4	1	no	—
1700	C₄	—	4	1	no	—
1701	C₄	—	4	1	no	—
1702	C₄	—	4	1	no	—
1703	C₄	—	4	1	no	—
1704	C₃	#52016	1	1	yes	characteristic, direct product factor, Sylow
1705	C₂	—	4	2	no	—
1706	C₂	—	4	2	no	—
1707	C₂	—	4	2	no	—
1708	C₂	—	4	2	no	—
1709	C₂	—	8	1	no	—
1710	C₂	—	8	1	no	—
1711	C₂	—	8	1	no	—
1712	C₂	C₃×#3485	1	1	yes	characteristic
1713	C₂	C₃×#3496	1	1	yes	characteristic
1714	C₂	C₃×#3496	1	1	yes	characteristic
1715	C₂	C₃×#3534	1	1	yes	characteristic
1716	C₂	C₃×#3539	1	1	yes	characteristic
1717	C₂	C₃×#3562	1	1	yes	characteristic
1718	C₂	C₃×#3566	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#560	C₂	semidirect
2. C₂×C₃×#540	C₂	semidirect
3. C₃×#2724	C₂	semidirect
4. C₃×#2708	C₂	semidirect
5. C₃×#2701	C₂	semidirect
6. C₃×#2701	C₂	semidirect
7. C₃×#2701	C₂	semidirect
8. C₃×#2699	C₂	semidirect
9. C₃×#2697	C₂	semidirect
10. C₃×#2688	C₂	semidirect
11. C₃×#2682	C₂	semidirect
12. C₃×#2678	C₂	semidirect
13. C₃×#2671	C₂	semidirect
14. C₃×#2668	C₂	semidirect
15. C₃×#2664	C₂	semidirect
16. C₃×#2664	C₂	semidirect
17. C₃×#2601	C₂	semidirect
18. C₃×#2601	C₂	semidirect
19. C₃×#2543	C₂	semidirect
20. C₃×#2534	C₂	semidirect
21. C₃×#2486	C₂	semidirect
22. C₃×#2444	C₂	semidirect
23. C₃×#2443	C₂	semidirect
24. C₃×#2425	C₂	semidirect
25. C₃×#2425	C₂	semidirect
26. C₃×#2425	C₂	semidirect
27. C₃×#2424	C₂	semidirect
28. C₃×#2419	C₂	semidirect
29. C₃×#2418	C₂	semidirect
30. C₃×#2416	C₂	semidirect
31. C₃×#2366	C₂	semidirect
32. #52016	C₃	direct (N × H)
38. C₂×C₃×#125	C₂²	semidirect
46. C₂×C₃×#123	C₂²	semidirect
47. C₂×C₃×#123	C₂²	semidirect
48. C₂×C₃×#123	C₂²	semidirect
60. C₂×C₃×#121	C₂²	semidirect
61. C₂×C₃×#121	C₂²	semidirect
62. C₂×C₃×#121	C₂²	semidirect
70. C₂×C₃×C₄×D₄	C₂²	semidirect
71. C₂×C₃×C₄×D₄	C₂²	semidirect
72. C₂×C₃×C₄×D₄	C₂²	semidirect
73. C₂×C₃×#117	C₂²	semidirect
74. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
76. C₃×#400	C₂²	semidirect
77. C₃×#400	C₂²	semidirect
80. C₃×#398	C₂²	semidirect
81. C₃×#398	C₂²	semidirect
82. C₃×#398	C₂²	semidirect
83. C₃×#398	C₂²	semidirect
84. C₃×#398	C₂²	semidirect
85. C₃×#398	C₂²	semidirect
86. C₃×#398	C₂²	semidirect
87. C₃×#398	C₂²	semidirect
94. C₃×#397	C₂²	semidirect
95. C₃×#397	C₂²	semidirect
96. C₃×#397	C₂²	semidirect
97. C₃×#397	C₂²	semidirect
104. C₃×#396	C₂²	semidirect
105. C₃×#396	C₂²	semidirect
118. C₃×#394	C₂²	semidirect
119. C₃×#394	C₂²	semidirect
128. C₃×#390	C₂²	semidirect
129. C₃×#390	C₂²	semidirect
130. C₃×#389	C₂²	semidirect
131. C₃×#389	C₂²	semidirect
132. C₃×#389	C₂²	semidirect
133. C₃×#389	C₂²	semidirect
134. C₃×#389	C₂²	semidirect
135. C₃×#389	C₂²	semidirect
144. C₃×#388	C₂²	semidirect
145. C₃×#388	C₂²	semidirect
146. C₃×#387	C₂²	semidirect
147. C₃×#387	C₂²	semidirect
161. C₃×#386	C₂²	semidirect
162. C₃×#386	C₂²	semidirect
163. C₃×#386	C₂²	semidirect
164. C₃×#386	C₂²	semidirect
165. C₃×#386	C₂²	semidirect
168. C₃×#385	C₂²	semidirect
169. C₃×#385	C₂²	semidirect
170. C₃×#385	C₂²	semidirect
171. C₃×#385	C₂²	semidirect
172. C₃×#385	C₂²	semidirect
173. C₃×#385	C₂²	semidirect
174. C₃×#385	C₂²	semidirect
175. C₃×#385	C₂²	semidirect
177. C₃×#381	C₂²	semidirect
178. C₃×#381	C₂²	semidirect
179. C₃×#381	C₂²	semidirect
182. C₃×#380	C₂²	semidirect
183. C₃×#380	C₂²	semidirect
186. C₃×C₄×C₄⋊C₄	C₂²	semidirect
187. C₃×C₄×C₄⋊C₄	C₂²	semidirect
188. C₂×C₃×#95	C₂²	semidirect
189. C₂×C₃×#95	C₂²	semidirect
190. C₂×#560	C₂×C₃	semidirect
191. C₂×#540	C₂×C₃	semidirect
192. #2724	C₂×C₃	semidirect
193. #2708	C₂×C₃	semidirect
194. #2701	C₂×C₃	semidirect
195. #2701	C₂×C₃	semidirect
196. #2701	C₂×C₃	semidirect
197. #2699	C₂×C₃	semidirect
198. #2697	C₂×C₃	semidirect
199. #2688	C₂×C₃	semidirect
200. #2682	C₂×C₃	semidirect
201. #2678	C₂×C₃	semidirect
202. #2671	C₂×C₃	semidirect
203. #2668	C₂×C₃	semidirect
204. #2664	C₂×C₃	semidirect
205. #2664	C₂×C₃	semidirect
206. #2601	C₂×C₃	semidirect
207. #2601	C₂×C₃	semidirect
208. #2543	C₂×C₃	semidirect
209. #2534	C₂×C₃	semidirect
210. #2486	C₂×C₃	semidirect
211. #2444	C₂×C₃	semidirect
212. #2443	C₂×C₃	semidirect
213. #2425	C₂×C₃	semidirect
214. #2425	C₂×C₃	semidirect
215. #2425	C₂×C₃	semidirect
216. #2424	C₂×C₃	semidirect
217. #2419	C₂×C₃	semidirect
218. #2418	C₂×C₃	semidirect
219. #2416	C₂×C₃	semidirect
220. #2366	C₂×C₃	semidirect
252. C₃×#127	D₄	semidirect
422. C₂×#125	C₂²×C₃	semidirect
430. C₂×#123	C₂²×C₃	semidirect
431. C₂×#123	C₂²×C₃	semidirect
432. C₂×#123	C₂²×C₃	semidirect
444. C₂×#121	C₂²×C₃	semidirect
445. C₂×#121	C₂²×C₃	semidirect
446. C₂×#121	C₂²×C₃	semidirect
454. C₂×C₄×D₄	C₂²×C₃	semidirect
455. C₂×C₄×D₄	C₂²×C₃	semidirect
456. C₂×C₄×D₄	C₂²×C₃	semidirect
457. C₂×#117	C₂²×C₃	semidirect
458. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
460. #400	C₂²×C₃	semidirect
461. #400	C₂²×C₃	semidirect
464. #398	C₂²×C₃	semidirect
465. #398	C₂²×C₃	semidirect
466. #398	C₂²×C₃	semidirect
467. #398	C₂²×C₃	semidirect
468. #398	C₂²×C₃	semidirect
469. #398	C₂²×C₃	semidirect
470. #398	C₂²×C₃	semidirect
471. #398	C₂²×C₃	semidirect
478. #397	C₂²×C₃	semidirect
479. #397	C₂²×C₃	semidirect
480. #397	C₂²×C₃	semidirect
481. #397	C₂²×C₃	semidirect
488. #396	C₂²×C₃	semidirect
489. #396	C₂²×C₃	semidirect
502. #394	C₂²×C₃	semidirect
503. #394	C₂²×C₃	semidirect
512. #390	C₂²×C₃	semidirect
513. #390	C₂²×C₃	semidirect
514. #389	C₂²×C₃	semidirect
515. #389	C₂²×C₃	semidirect
516. #389	C₂²×C₃	semidirect
517. #389	C₂²×C₃	semidirect
518. #389	C₂²×C₃	semidirect
519. #389	C₂²×C₃	semidirect
528. #388	C₂²×C₃	semidirect
529. #388	C₂²×C₃	semidirect
530. #387	C₂²×C₃	semidirect
531. #387	C₂²×C₃	semidirect
545. #386	C₂²×C₃	semidirect
546. #386	C₂²×C₃	semidirect
547. #386	C₂²×C₃	semidirect
548. #386	C₂²×C₃	semidirect
549. #386	C₂²×C₃	semidirect
552. #385	C₂²×C₃	semidirect
553. #385	C₂²×C₃	semidirect
554. #385	C₂²×C₃	semidirect
555. #385	C₂²×C₃	semidirect
556. #385	C₂²×C₃	semidirect
557. #385	C₂²×C₃	semidirect
558. #385	C₂²×C₃	semidirect
559. #385	C₂²×C₃	semidirect
561. #381	C₂²×C₃	semidirect
562. #381	C₂²×C₃	semidirect
563. #381	C₂²×C₃	semidirect
566. #380	C₂²×C₃	semidirect
567. #380	C₂²×C₃	semidirect
570. C₄×C₄⋊C₄	C₂²×C₃	semidirect
571. C₄×C₄⋊C₄	C₂²×C₃	semidirect
572. C₂×#95	C₂²×C₃	semidirect
573. C₂×#95	C₂²×C₃	semidirect
825. #127	C₃×D₄	semidirect
1704. C₃	#52016	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×#560	2
C₂×C₃×#540	2
C₃×#2724	2
C₃×#2708	2
C₃×#2701	2
C₃×#2699	2
C₃×#2697	2
C₃×#2688	2
C₃×#2682	2
C₃×#2678	2
C₃×#2671	2
C₃×#2668	2
C₃×#2664	2
C₃×#2601	2
C₃×#2543	2
C₃×#2534	2
C₃×#2486	2
C₃×#2444	2
C₃×#2443	2
C₃×#2425	2
C₃×#2424	2
C₃×#2419	2
C₃×#2418	2
C₃×#2416	2
C₃×#2366	2
#52016	3

Subgroups — C3×#52016 #10670623

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#52016 #10670623