Subgroups — C₃×#34517 #10653124

Order 768.

2464 conjugacy classes of subgroups.

The subgroup lattice has 1654 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
2	C₃×#2377	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2377	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2376	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2373	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2373	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2366	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2364	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2364	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2363	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2363	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2359	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2359	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2358	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2358	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2358	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2334	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2334	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2328	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#2324	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#2324	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2321	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#2321	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2321	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×C₄×#123	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×C₄×#121	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×C₄×#121	C₂	1	1	yes	maximal, characteristic, complemented
32	#34517	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₃×#560	C₄	1	16	yes	complemented
34	C₂×C₃×#127	C₂²	1	1	yes	characteristic
35	C₂×C₃×#126	C₂²	1	1	yes	characteristic
36	C₂×C₃×#126	C₂²	1	1	yes	characteristic
37	C₂×C₃×#123	C₂²	1	1	yes	characteristic
38	C₂×C₃×#123	C₂²	1	1	yes	characteristic
39	C₂×C₃×#123	C₂²	1	1	yes	characteristic
40	C₂×C₃×#121	C₂²	1	1	yes	characteristic
41	C₂×C₃×#121	C₂²	1	1	yes	characteristic
42	C₂×C₃×#121	C₂²	1	1	yes	characteristic
43	C₂×C₃×#121	C₂²	1	1	yes	characteristic
44	C₂×C₃×#121	C₂²	1	1	yes	characteristic
45	C₂×C₃×#121	C₂²	1	1	yes	characteristic
46	C₂×C₃×#120	C₂²	1	1	yes	characteristic
47	C₂×C₃×#120	C₂²	1	1	yes	characteristic
48	C₂×C₃×#120	C₂²	1	1	yes	characteristic
49	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
50	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
51	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
52	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
53	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
54	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
55	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
56	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
57	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
58	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
63	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
64	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
65	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
66	C₂²×C₃×C₄²	C₂²	1	1	yes	characteristic, complemented
67	C₃×#390	C₂²	1	1	yes	characteristic
68	C₃×#390	C₂²	1	1	yes	characteristic
69	C₃×#390	C₂²	1	1	yes	characteristic
70	C₃×#390	C₂²	1	1	yes	characteristic
71	C₃×#390	C₂²	1	1	yes	characteristic
72	C₃×#390	C₂²	1	1	yes	characteristic
73	C₃×#390	C₂²	1	1	yes	characteristic
74	C₃×#390	C₂²	1	1	yes	characteristic
75	C₃×#390	C₂²	1	1	yes	characteristic
76	C₃×#390	C₂²	1	1	yes	characteristic, complemented
77	C₃×#390	C₂²	1	1	yes	characteristic, complemented
78	C₃×#390	C₂²	1	1	yes	characteristic, complemented
79	C₃×#389	C₂²	1	1	yes	characteristic, complemented
80	C₃×#389	C₂²	1	1	yes	characteristic, complemented
81	C₃×#389	C₂²	1	1	yes	characteristic, complemented
82	C₃×#389	C₂²	1	1	yes	characteristic, complemented
83	C₃×#389	C₂²	1	1	yes	characteristic, complemented
84	C₃×#389	C₂²	1	1	yes	characteristic, complemented
85	C₃×#388	C₂²	1	1	yes	characteristic
86	C₃×#388	C₂²	1	1	yes	characteristic
87	C₃×#388	C₂²	1	1	yes	characteristic
88	C₃×#388	C₂²	1	1	yes	characteristic
89	C₃×#388	C₂²	1	1	yes	characteristic
90	C₃×#388	C₂²	1	1	yes	characteristic
91	C₃×#388	C₂²	1	1	yes	characteristic
92	C₃×#388	C₂²	1	1	yes	characteristic
93	C₃×#388	C₂²	1	1	yes	characteristic
94	C₃×#388	C₂²	1	1	yes	characteristic
95	C₃×#388	C₂²	1	1	yes	characteristic
96	C₃×#388	C₂²	1	1	yes	characteristic
97	C₃×#388	C₂²	1	1	yes	characteristic
98	C₃×#388	C₂²	1	1	yes	characteristic
99	C₃×#388	C₂²	1	1	yes	characteristic
100	C₃×#388	C₂²	1	1	yes	characteristic
101	C₃×#388	C₂²	1	1	yes	characteristic
102	C₃×#388	C₂²	1	1	yes	characteristic
103	C₃×#388	C₂²	1	1	yes	characteristic, complemented
104	C₃×#388	C₂²	1	1	yes	characteristic, complemented
105	C₃×#388	C₂²	1	1	yes	characteristic, complemented
106	C₃×#388	C₂²	1	1	yes	characteristic, complemented
107	C₃×#388	C₂²	1	1	yes	characteristic, complemented
108	C₃×#388	C₂²	1	1	yes	characteristic, complemented
109	C₃×#387	C₂²	1	1	yes	characteristic, complemented
110	C₃×#387	C₂²	1	1	yes	characteristic, complemented
111	C₃×#387	C₂²	1	1	yes	characteristic, complemented
112	C₃×#387	C₂²	1	1	yes	characteristic, complemented
113	C₃×#387	C₂²	1	1	yes	characteristic, complemented
114	C₃×#387	C₂²	1	1	yes	characteristic, complemented
115	C₃×#387	C₂²	1	1	yes	characteristic, complemented
116	C₃×#387	C₂²	1	1	yes	characteristic, complemented
117	C₃×#387	C₂²	1	1	yes	characteristic, complemented
118	C₃×#387	C₂²	1	1	yes	characteristic, complemented
119	C₃×#387	C₂²	1	1	yes	characteristic, complemented
120	C₃×#387	C₂²	1	1	yes	characteristic, complemented
121	C₃×#386	C₂²	1	1	yes	characteristic
122	C₃×#386	C₂²	1	1	yes	characteristic
123	C₃×#386	C₂²	1	1	yes	characteristic
124	C₃×#386	C₂²	1	1	yes	characteristic
125	C₃×#386	C₂²	1	1	yes	characteristic
126	C₃×#386	C₂²	1	1	yes	characteristic
127	C₃×#386	C₂²	1	1	yes	characteristic
128	C₃×#386	C₂²	1	1	yes	characteristic
129	C₃×#386	C₂²	1	1	yes	characteristic
130	C₃×#386	C₂²	1	1	yes	characteristic
131	C₃×#386	C₂²	1	1	yes	characteristic
132	C₃×#386	C₂²	1	1	yes	characteristic
133	C₃×#386	C₂²	1	1	yes	characteristic
134	C₃×#386	C₂²	1	1	yes	characteristic
135	C₃×#386	C₂²	1	1	yes	characteristic
136	C₃×#386	C₂²	1	1	yes	characteristic
137	C₃×#386	C₂²	1	1	yes	characteristic
138	C₃×#386	C₂²	1	1	yes	characteristic
139	C₃×#386	C₂²	1	1	yes	characteristic, complemented
140	C₃×#386	C₂²	1	1	yes	characteristic, complemented
141	C₃×#386	C₂²	1	1	yes	characteristic, complemented
142	C₃×#386	C₂²	1	1	yes	characteristic, complemented
143	C₃×#386	C₂²	1	1	yes	characteristic, complemented
144	C₃×#386	C₂²	1	1	yes	characteristic, complemented
145	C₃×#385	C₂²	1	1	yes	characteristic
146	C₃×#385	C₂²	1	1	yes	characteristic
147	C₃×#385	C₂²	1	1	yes	characteristic
148	C₃×#385	C₂²	1	1	yes	characteristic
149	C₃×#385	C₂²	1	1	yes	characteristic
150	C₃×#385	C₂²	1	1	yes	characteristic
151	C₃×#385	C₂²	1	1	yes	characteristic
152	C₃×#385	C₂²	1	1	yes	characteristic
153	C₃×#385	C₂²	1	1	yes	characteristic
154	C₃×#385	C₂²	1	1	yes	characteristic, complemented
155	C₃×#385	C₂²	1	1	yes	characteristic, complemented
156	C₃×#385	C₂²	1	1	yes	characteristic, complemented
157	C₃×#382	C₂²	1	1	yes	characteristic, complemented
158	C₃×#381	C₂²	1	1	yes	characteristic, complemented
159	C₃×#380	C₂²	1	1	yes	characteristic, complemented
160	C₃×#380	C₂²	1	1	yes	characteristic, complemented
161	C₃×#380	C₂²	1	1	yes	characteristic, complemented
162	C₃×#380	C₂²	1	1	yes	characteristic, complemented
163	C₃×#379	C₂²	1	1	yes	characteristic
164	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
165	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
166	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
167	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
169	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
170	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
171	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
172	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
174	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
175	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
176	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
177	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
178	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
179	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
181	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
184	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
185	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₃×#376	C₂²	1	1	yes	characteristic, complemented
187	C₂×C₃×#95	C₂²	1	1	yes	characteristic, complemented
188	C₂×C₃×#95	C₂²	1	1	yes	characteristic, complemented
189	C₂×#560	C₂×C₃	1	1	yes	characteristic
190	#2377	C₂×C₃	1	1	yes	characteristic, complemented
191	#2377	C₂×C₃	1	1	yes	characteristic, complemented
192	#2376	C₂×C₃	1	1	yes	characteristic, complemented
193	#2373	C₂×C₃	1	1	yes	characteristic, complemented
194	#2373	C₂×C₃	1	1	yes	characteristic, complemented
195	#2366	C₂×C₃	1	1	yes	characteristic, complemented
196	#2364	C₂×C₃	1	1	yes	characteristic, complemented
197	#2364	C₂×C₃	1	1	yes	characteristic, complemented
198	#2363	C₂×C₃	1	1	yes	characteristic, complemented
199	#2363	C₂×C₃	1	1	yes	characteristic, complemented
200	#2359	C₂×C₃	1	1	yes	characteristic, complemented
201	#2359	C₂×C₃	1	1	yes	characteristic, complemented
202	#2358	C₂×C₃	1	1	yes	characteristic, complemented
203	#2358	C₂×C₃	1	1	yes	characteristic, complemented
204	#2358	C₂×C₃	1	1	yes	characteristic, complemented
205	#2335	C₂×C₃	1	1	yes	characteristic, complemented
206	#2335	C₂×C₃	1	1	yes	characteristic, complemented
207	#2334	C₂×C₃	1	1	yes	characteristic, complemented
208	#2334	C₂×C₃	1	1	yes	characteristic, complemented
209	#2328	C₂×C₃	1	1	yes	characteristic, complemented
210	#2325	C₂×C₃	1	1	yes	characteristic, complemented
211	#2325	C₂×C₃	1	1	yes	characteristic, complemented
212	#2324	C₂×C₃	1	1	yes	characteristic, complemented
213	#2324	C₂×C₃	1	1	yes	characteristic, complemented
214	#2321	C₂×C₃	1	1	yes	characteristic, complemented
215	#2321	C₂×C₃	1	1	yes	characteristic, complemented
216	#2321	C₂×C₃	1	1	yes	characteristic, complemented
217	C₄×#123	C₂×C₃	1	1	yes	characteristic, complemented
218	C₄×#121	C₂×C₃	1	1	yes	characteristic, complemented
219	C₄×#121	C₂×C₃	1	1	yes	characteristic, complemented
220	C₂⁵×C₃	C₂³	1	1	yes	characteristic
221	C₂²×C₃×D₄	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	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
234	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
235	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
236	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
237	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
238	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
239	C₂³×C₃×C₄	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	C₃×#127	C₂×C₄	1	8	yes	complemented
249	C₃×#126	C₂×C₄	1	8	yes	complemented
250	C₃×#126	C₂×C₄	1	8	yes	complemented
251	C₃×#123	C₂×C₄	1	8	yes	complemented
252	C₃×#123	C₂×C₄	1	8	yes	complemented
253	C₃×#123	C₂×C₄	1	8	yes	complemented
254	C₃×#121	C₂×C₄	1	8	yes	complemented
255	C₃×#121	C₂×C₄	1	8	yes	complemented
256	C₃×#121	C₂×C₄	1	8	yes	complemented
257	C₃×#121	C₂×C₄	1	8	yes	complemented
258	C₃×#121	C₂×C₄	1	8	yes	complemented
259	C₃×#121	C₂×C₄	1	8	yes	complemented
260	C₃×#120	C₂×C₄	1	8	yes	complemented
261	C₃×#120	C₂×C₄	1	8	yes	complemented
262	C₃×#120	C₂×C₄	1	8	yes	complemented
263	C₃×C₄×D₄	—	4	2	no	—
264	C₃×C₄×D₄	—	4	2	no	—
265	C₃×C₄×D₄	—	4	2	no	—
266	C₃×C₄×D₄	—	4	2	no	—
267	C₃×C₄×D₄	—	4	2	no	—
268	C₃×C₄×D₄	—	4	2	no	—
269	C₃×C₄×D₄	—	4	2	no	—
270	C₃×C₄×D₄	—	4	2	no	—
271	C₃×C₄×D₄	—	4	2	no	—
272	C₃×C₄×D₄	—	4	2	no	—
273	C₃×C₄×D₄	—	4	2	no	—
274	C₃×C₄×D₄	—	4	2	no	—
275	C₃×#117	—	4	2	no	—
276	C₃×#117	—	4	2	no	—
277	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	—	4	2	no	—
302	C₂×C₃×C₂²⋊C₄	—	4	2	no	—
303	C₂×C₃×C₂²⋊C₄	—	4	2	no	—
304	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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×C₄²	—	4	2	no	—
353	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
354	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
355	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
356	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
357	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
358	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
359	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
360	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
361	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
362	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
363	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
364	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
365	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
366	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
367	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
368	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
369	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
370	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
371	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
372	C₃×#95	C₂³	1	1	yes	characteristic
373	C₃×#95	C₂³	1	1	yes	characteristic
374	C₃×#95	C₂³	1	1	yes	characteristic
375	C₃×#95	C₂³	1	1	yes	characteristic
376	C₃×#95	C₂³	1	1	yes	characteristic
377	C₃×#95	C₂³	1	1	yes	characteristic
378	C₃×#95	C₂³	1	1	yes	characteristic
379	C₃×#95	C₂³	1	1	yes	characteristic
380	C₃×#95	C₂³	1	1	yes	characteristic
381	C₃×#95	C₂³	1	1	yes	characteristic
382	C₃×#95	C₂³	1	1	yes	characteristic
383	C₃×#95	C₂³	1	1	yes	characteristic
384	C₃×#95	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	#560	C₃×C₄	1	16	yes	complemented
409	C₂×#127	C₂²×C₃	1	1	yes	characteristic
410	C₂×#126	C₂²×C₃	1	1	yes	characteristic
411	C₂×#126	C₂²×C₃	1	1	yes	characteristic
412	C₂×#123	C₂²×C₃	1	1	yes	characteristic
413	C₂×#123	C₂²×C₃	1	1	yes	characteristic
414	C₂×#123	C₂²×C₃	1	1	yes	characteristic
415	C₂×#121	C₂²×C₃	1	1	yes	characteristic
416	C₂×#121	C₂²×C₃	1	1	yes	characteristic
417	C₂×#121	C₂²×C₃	1	1	yes	characteristic
418	C₂×#121	C₂²×C₃	1	1	yes	characteristic
419	C₂×#121	C₂²×C₃	1	1	yes	characteristic
420	C₂×#121	C₂²×C₃	1	1	yes	characteristic
421	C₂×#120	C₂²×C₃	1	1	yes	characteristic
422	C₂×#120	C₂²×C₃	1	1	yes	characteristic
423	C₂×#120	C₂²×C₃	1	1	yes	characteristic
424	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
425	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
426	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
427	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
428	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
429	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
430	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
431	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
432	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
433	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
434	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
435	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
436	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
437	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
438	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
439	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
440	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
441	C₂²×C₄²	C₂²×C₃	1	1	yes	characteristic, complemented
442	#390	C₂²×C₃	1	1	yes	characteristic
443	#390	C₂²×C₃	1	1	yes	characteristic
444	#390	C₂²×C₃	1	1	yes	characteristic
445	#390	C₂²×C₃	1	1	yes	characteristic
446	#390	C₂²×C₃	1	1	yes	characteristic
447	#390	C₂²×C₃	1	1	yes	characteristic
448	#390	C₂²×C₃	1	1	yes	characteristic
449	#390	C₂²×C₃	1	1	yes	characteristic
450	#390	C₂²×C₃	1	1	yes	characteristic
451	#390	C₂²×C₃	1	1	yes	characteristic, complemented
452	#390	C₂²×C₃	1	1	yes	characteristic, complemented
453	#390	C₂²×C₃	1	1	yes	characteristic, complemented
454	#389	C₂²×C₃	1	1	yes	characteristic, complemented
455	#389	C₂²×C₃	1	1	yes	characteristic, complemented
456	#389	C₂²×C₃	1	1	yes	characteristic, complemented
457	#389	C₂²×C₃	1	1	yes	characteristic, complemented
458	#389	C₂²×C₃	1	1	yes	characteristic, complemented
459	#389	C₂²×C₃	1	1	yes	characteristic, complemented
460	#388	C₂²×C₃	1	1	yes	characteristic
461	#388	C₂²×C₃	1	1	yes	characteristic
462	#388	C₂²×C₃	1	1	yes	characteristic
463	#388	C₂²×C₃	1	1	yes	characteristic
464	#388	C₂²×C₃	1	1	yes	characteristic
465	#388	C₂²×C₃	1	1	yes	characteristic
466	#388	C₂²×C₃	1	1	yes	characteristic
467	#388	C₂²×C₃	1	1	yes	characteristic
468	#388	C₂²×C₃	1	1	yes	characteristic
469	#388	C₂²×C₃	1	1	yes	characteristic
470	#388	C₂²×C₃	1	1	yes	characteristic
471	#388	C₂²×C₃	1	1	yes	characteristic
472	#388	C₂²×C₃	1	1	yes	characteristic
473	#388	C₂²×C₃	1	1	yes	characteristic
474	#388	C₂²×C₃	1	1	yes	characteristic
475	#388	C₂²×C₃	1	1	yes	characteristic
476	#388	C₂²×C₃	1	1	yes	characteristic
477	#388	C₂²×C₃	1	1	yes	characteristic
478	#388	C₂²×C₃	1	1	yes	characteristic, complemented
479	#388	C₂²×C₃	1	1	yes	characteristic, complemented
480	#388	C₂²×C₃	1	1	yes	characteristic, complemented
481	#388	C₂²×C₃	1	1	yes	characteristic, complemented
482	#388	C₂²×C₃	1	1	yes	characteristic, complemented
483	#388	C₂²×C₃	1	1	yes	characteristic, complemented
484	#387	C₂²×C₃	1	1	yes	characteristic, complemented
485	#387	C₂²×C₃	1	1	yes	characteristic, complemented
486	#387	C₂²×C₃	1	1	yes	characteristic, complemented
487	#387	C₂²×C₃	1	1	yes	characteristic, complemented
488	#387	C₂²×C₃	1	1	yes	characteristic, complemented
489	#387	C₂²×C₃	1	1	yes	characteristic, complemented
490	#387	C₂²×C₃	1	1	yes	characteristic, complemented
491	#387	C₂²×C₃	1	1	yes	characteristic, complemented
492	#387	C₂²×C₃	1	1	yes	characteristic, complemented
493	#387	C₂²×C₃	1	1	yes	characteristic, complemented
494	#387	C₂²×C₃	1	1	yes	characteristic, complemented
495	#387	C₂²×C₃	1	1	yes	characteristic, complemented
496	#386	C₂²×C₃	1	1	yes	characteristic
497	#386	C₂²×C₃	1	1	yes	characteristic
498	#386	C₂²×C₃	1	1	yes	characteristic
499	#386	C₂²×C₃	1	1	yes	characteristic
500	#386	C₂²×C₃	1	1	yes	characteristic
501	#386	C₂²×C₃	1	1	yes	characteristic
502	#386	C₂²×C₃	1	1	yes	characteristic
503	#386	C₂²×C₃	1	1	yes	characteristic
504	#386	C₂²×C₃	1	1	yes	characteristic
505	#386	C₂²×C₃	1	1	yes	characteristic
506	#386	C₂²×C₃	1	1	yes	characteristic
507	#386	C₂²×C₃	1	1	yes	characteristic
508	#386	C₂²×C₃	1	1	yes	characteristic
509	#386	C₂²×C₃	1	1	yes	characteristic
510	#386	C₂²×C₃	1	1	yes	characteristic
511	#386	C₂²×C₃	1	1	yes	characteristic
512	#386	C₂²×C₃	1	1	yes	characteristic
513	#386	C₂²×C₃	1	1	yes	characteristic
514	#386	C₂²×C₃	1	1	yes	characteristic, complemented
515	#386	C₂²×C₃	1	1	yes	characteristic, complemented
516	#386	C₂²×C₃	1	1	yes	characteristic, complemented
517	#386	C₂²×C₃	1	1	yes	characteristic, complemented
518	#386	C₂²×C₃	1	1	yes	characteristic, complemented
519	#386	C₂²×C₃	1	1	yes	characteristic, complemented
520	#385	C₂²×C₃	1	1	yes	characteristic
521	#385	C₂²×C₃	1	1	yes	characteristic
522	#385	C₂²×C₃	1	1	yes	characteristic
523	#385	C₂²×C₃	1	1	yes	characteristic
524	#385	C₂²×C₃	1	1	yes	characteristic
525	#385	C₂²×C₃	1	1	yes	characteristic
526	#385	C₂²×C₃	1	1	yes	characteristic
527	#385	C₂²×C₃	1	1	yes	characteristic
528	#385	C₂²×C₃	1	1	yes	characteristic
529	#385	C₂²×C₃	1	1	yes	characteristic, complemented
530	#385	C₂²×C₃	1	1	yes	characteristic, complemented
531	#385	C₂²×C₃	1	1	yes	characteristic, complemented
532	#382	C₂²×C₃	1	1	yes	characteristic, complemented
533	#381	C₂²×C₃	1	1	yes	characteristic, complemented
534	#380	C₂²×C₃	1	1	yes	characteristic, complemented
535	#380	C₂²×C₃	1	1	yes	characteristic, complemented
536	#380	C₂²×C₃	1	1	yes	characteristic, complemented
537	#380	C₂²×C₃	1	1	yes	characteristic, complemented
538	#379	C₂²×C₃	1	1	yes	characteristic
539	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
540	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
541	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
542	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
543	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
544	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
545	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
546	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
547	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
548	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
549	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
550	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
551	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
552	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
553	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
554	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
555	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
556	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
557	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
558	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
559	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
560	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
561	#376	C₂²×C₃	1	1	yes	characteristic, complemented
562	C₂×#95	C₂²×C₃	1	1	yes	characteristic, complemented
563	C₂×#95	C₂²×C₃	1	1	yes	characteristic, complemented
564	C₂⁴×C₃	—	4	1	no	—
565	C₂⁴×C₃	—	4	1	no	—
566	C₂⁴×C₃	—	4	1	no	—
567	C₂⁴×C₃	—	4	1	no	—
568	C₂⁴×C₃	—	4	1	no	—
569	C₂⁴×C₃	—	4	1	no	—
570	C₂⁴×C₃	C₂²×C₄	1	4	yes	—
571	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
572	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
573	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
574	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
575	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
576	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₃×D₄	—	4	1	no	—
578	C₂×C₃×D₄	—	4	1	no	—
579	C₂×C₃×D₄	—	4	1	no	—
580	C₂×C₃×D₄	—	4	1	no	—
581	C₂×C₃×D₄	—	4	1	no	—
582	C₂×C₃×D₄	—	4	1	no	—
583	C₂×C₃×D₄	—	4	1	no	—
584	C₂×C₃×D₄	—	4	1	no	—
585	C₂×C₃×D₄	—	4	1	no	—
586	C₂×C₃×D₄	—	4	1	no	—
587	C₂×C₃×D₄	—	4	1	no	—
588	C₂×C₃×D₄	—	4	1	no	—
589	C₂×C₃×D₄	—	4	1	no	—
590	C₂×C₃×D₄	—	4	1	no	—
591	C₂×C₃×D₄	—	4	1	no	—
592	C₂×C₃×D₄	—	4	1	no	—
593	C₂×C₃×D₄	—	4	1	no	—
594	C₂×C₃×D₄	—	4	1	no	—
595	C₂×C₃×D₄	—	4	1	no	—
596	C₂×C₃×D₄	—	4	1	no	—
597	C₂×C₃×D₄	—	4	1	no	—
598	C₂×C₃×D₄	—	4	1	no	—
599	C₂×C₃×D₄	—	4	1	no	—
600	C₂×C₃×D₄	—	4	1	no	—
601	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
602	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
603	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
604	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
605	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
606	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
607	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
608	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
609	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
610	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
611	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
612	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
613	C₂²×C₃×C₄	—	2	2	no	—
614	C₂²×C₃×C₄	—	2	2	no	—
615	C₂²×C₃×C₄	—	2	2	no	—
616	C₂²×C₃×C₄	—	2	2	no	—
617	C₂²×C₃×C₄	—	2	2	no	—
618	C₂²×C₃×C₄	—	2	2	no	—
619	C₂²×C₃×C₄	—	2	2	no	—
620	C₂²×C₃×C₄	—	2	2	no	—
621	C₂²×C₃×C₄	—	4	1	no	—
622	C₂²×C₃×C₄	—	4	1	no	—
623	C₂²×C₃×C₄	—	4	1	no	—
624	C₂²×C₃×C₄	—	4	1	no	—
625	C₂²×C₃×C₄	—	4	1	no	—
626	C₂²×C₃×C₄	—	4	1	no	—
627	C₂²×C₃×C₄	—	4	1	no	—
628	C₂²×C₃×C₄	—	4	1	no	—
629	C₂²×C₃×C₄	—	4	1	no	—
630	C₂²×C₃×C₄	—	4	1	no	—
631	C₂²×C₃×C₄	—	4	1	no	—
632	C₂²×C₃×C₄	—	4	1	no	—
633	C₂²×C₃×C₄	—	4	1	no	—
634	C₂²×C₃×C₄	—	4	1	no	—
635	C₂²×C₃×C₄	—	4	1	no	—
636	C₂²×C₃×C₄	—	4	1	no	—
637	C₂²×C₃×C₄	—	4	1	no	—
638	C₂²×C₃×C₄	—	4	1	no	—
639	C₂²×C₃×C₄	—	4	1	no	—
640	C₂²×C₃×C₄	—	4	1	no	—
641	C₂²×C₃×C₄	—	4	1	no	—
642	C₂²×C₃×C₄	—	4	1	no	—
643	C₂²×C₃×C₄	—	4	1	no	—
644	C₂²×C₃×C₄	—	4	1	no	—
645	C₂²×C₃×C₄	—	4	1	no	—
646	C₂²×C₃×C₄	—	4	1	no	—
647	C₂²×C₃×C₄	—	4	1	no	—
648	C₂²×C₃×C₄	—	4	1	no	—
649	C₂²×C₃×C₄	—	4	1	no	—
650	C₂²×C₃×C₄	—	4	1	no	—
651	C₂²×C₃×C₄	—	4	1	no	—
652	C₂²×C₃×C₄	—	4	1	no	—
653	C₂²×C₃×C₄	—	4	1	no	—
654	C₂²×C₃×C₄	—	4	1	no	—
655	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
656	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
657	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
658	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
659	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
660	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
661	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
662	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
663	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
664	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
665	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
666	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
667	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
668	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
669	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
670	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
671	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
672	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
673	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
674	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
675	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
676	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
677	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
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	C₃×C₄⋊C₄	—	2	2	no	—
684	C₃×C₄⋊C₄	—	2	2	no	—
685	C₃×C₄⋊C₄	—	2	2	no	—
686	C₃×C₄⋊C₄	—	2	2	no	—
687	C₃×C₄⋊C₄	—	4	1	no	—
688	C₃×C₄⋊C₄	—	4	1	no	—
689	C₃×C₄⋊C₄	—	4	1	no	—
690	C₃×C₄⋊C₄	—	4	1	no	—
691	C₃×C₄⋊C₄	—	4	1	no	—
692	C₃×C₄⋊C₄	—	4	1	no	—
693	C₃×C₄⋊C₄	—	4	1	no	—
694	C₃×C₄⋊C₄	—	4	1	no	—
695	C₃×C₄⋊C₄	—	4	1	no	—
696	C₃×C₄⋊C₄	—	4	1	no	—
697	C₃×C₄⋊C₄	—	4	1	no	—
698	C₃×C₄⋊C₄	—	4	1	no	—
699	C₃×C₄⋊C₄	—	4	1	no	—
700	C₃×C₄⋊C₄	—	4	1	no	—
701	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
702	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
703	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
704	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
705	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
706	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
707	C₃×C₂²⋊C₄	—	2	2	no	—
708	C₃×C₂²⋊C₄	—	2	2	no	—
709	C₃×C₂²⋊C₄	—	2	2	no	—
710	C₃×C₂²⋊C₄	—	2	2	no	—
711	C₃×C₂²⋊C₄	—	2	2	no	—
712	C₃×C₂²⋊C₄	—	2	2	no	—
713	C₃×C₂²⋊C₄	—	2	2	no	—
714	C₃×C₂²⋊C₄	—	2	2	no	—
715	C₃×C₂²⋊C₄	—	2	2	no	—
716	C₃×C₂²⋊C₄	—	2	2	no	—
717	C₃×C₂²⋊C₄	—	4	1	no	—
718	C₃×C₂²⋊C₄	—	4	1	no	—
719	C₃×C₂²⋊C₄	—	4	1	no	—
720	C₃×C₂²⋊C₄	—	4	1	no	—
721	C₃×C₂²⋊C₄	—	4	1	no	—
722	C₃×C₂²⋊C₄	—	4	1	no	—
723	C₃×C₂²⋊C₄	—	4	1	no	—
724	C₃×C₂²⋊C₄	—	4	1	no	—
725	C₃×C₂²⋊C₄	—	4	1	no	—
726	C₃×C₂²⋊C₄	—	4	1	no	—
727	C₃×C₂²⋊C₄	—	4	1	no	—
728	C₃×C₂²⋊C₄	—	4	1	no	—
729	C₃×C₂²⋊C₄	—	4	1	no	—
730	C₃×C₂²⋊C₄	—	4	1	no	—
731	C₃×C₂²⋊C₄	—	4	1	no	—
732	C₃×C₂²⋊C₄	—	4	1	no	—
733	C₃×C₂²⋊C₄	—	4	1	no	—
734	C₃×C₂²⋊C₄	—	4	1	no	—
735	C₃×C₂²⋊C₄	—	4	1	no	—
736	C₃×C₂²⋊C₄	—	4	1	no	—
737	C₃×C₂²⋊C₄	—	4	1	no	—
738	C₃×C₂²⋊C₄	—	4	1	no	—
739	C₃×C₂²⋊C₄	—	4	1	no	—
740	C₃×C₂²⋊C₄	—	4	1	no	—
741	C₃×C₂²⋊C₄	—	4	1	no	—
742	C₃×C₂²⋊C₄	—	4	1	no	—
743	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
744	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
745	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
746	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
747	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
748	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
749	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
750	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
751	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
752	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
753	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
754	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
755	C₃×C₄²	—	2	2	no	—
756	C₃×C₄²	—	2	2	no	—
757	C₃×C₄²	—	2	2	no	—
758	C₃×C₄²	—	2	2	no	—
759	C₃×C₄²	—	2	2	no	—
760	C₃×C₄²	—	4	1	no	—
761	C₃×C₄²	—	4	1	no	—
762	C₃×C₄²	—	4	1	no	—
763	C₃×C₄²	—	4	1	no	—
764	C₃×C₄²	—	4	1	no	—
765	C₃×C₄²	—	4	1	no	—
766	C₃×C₄²	—	4	1	no	—
767	C₃×C₄²	—	4	1	no	—
768	C₃×C₄²	—	4	1	no	—
769	C₃×C₄²	—	4	1	no	—
770	C₃×C₄²	—	4	1	no	—
771	C₃×C₄²	—	4	1	no	—
772	C₃×C₄²	—	4	1	no	—
773	C₃×C₄²	C₂²×C₄	1	4	yes	—
774	C₂⁵	C₂³×C₃	1	1	yes	characteristic
775	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
776	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
777	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
778	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
779	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
780	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
781	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
782	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
783	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
784	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
785	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
786	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
787	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
788	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
789	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
790	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
791	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
792	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
793	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
794	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
795	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
796	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
797	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
798	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
799	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
800	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
801	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
802	#127	C₂×C₃×C₄	1	8	yes	complemented
803	#126	C₂×C₃×C₄	1	8	yes	complemented
804	#126	C₂×C₃×C₄	1	8	yes	complemented
805	#123	C₂×C₃×C₄	1	8	yes	complemented
806	#123	C₂×C₃×C₄	1	8	yes	complemented
807	#123	C₂×C₃×C₄	1	8	yes	complemented
808	#121	C₂×C₃×C₄	1	8	yes	complemented
809	#121	C₂×C₃×C₄	1	8	yes	complemented
810	#121	C₂×C₃×C₄	1	8	yes	complemented
811	#121	C₂×C₃×C₄	1	8	yes	complemented
812	#121	C₂×C₃×C₄	1	8	yes	complemented
813	#121	C₂×C₃×C₄	1	8	yes	complemented
814	#120	C₂×C₃×C₄	1	8	yes	complemented
815	#120	C₂×C₃×C₄	1	8	yes	complemented
816	#120	C₂×C₃×C₄	1	8	yes	complemented
817	C₄×D₄	—	4	2	no	—
818	C₄×D₄	—	4	2	no	—
819	C₄×D₄	—	4	2	no	—
820	C₄×D₄	—	4	2	no	—
821	C₄×D₄	—	4	2	no	—
822	C₄×D₄	—	4	2	no	—
823	C₄×D₄	—	4	2	no	—
824	C₄×D₄	—	4	2	no	—
825	C₄×D₄	—	4	2	no	—
826	C₄×D₄	—	4	2	no	—
827	C₄×D₄	—	4	2	no	—
828	C₄×D₄	—	4	2	no	—
829	#117	—	4	2	no	—
830	#117	—	4	2	no	—
831	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
832	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
833	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
834	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
835	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
836	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
837	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
838	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
839	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
840	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
841	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
842	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
843	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
844	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
845	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
846	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
847	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
848	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
849	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
850	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
851	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
852	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
853	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
854	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
855	C₂×C₂²⋊C₄	—	4	2	no	—
856	C₂×C₂²⋊C₄	—	4	2	no	—
857	C₂×C₂²⋊C₄	—	4	2	no	—
858	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
859	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
860	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
861	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
862	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
863	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
864	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
865	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
866	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
867	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
868	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
869	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
870	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
871	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
872	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
873	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
874	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
875	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
876	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
877	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
878	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
879	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
880	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
881	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
882	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
883	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
884	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
885	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
886	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
887	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
888	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
889	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
890	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
891	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
892	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
893	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
894	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
895	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
896	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
897	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
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×C₄²	—	4	2	no	—
907	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
908	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
909	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
910	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
911	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
912	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
913	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
914	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
915	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
916	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
917	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
918	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
919	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
920	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
921	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
922	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
923	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
924	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
925	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
926	#95	C₂³×C₃	1	1	yes	characteristic
927	#95	C₂³×C₃	1	1	yes	characteristic
928	#95	C₂³×C₃	1	1	yes	characteristic
929	#95	C₂³×C₃	1	1	yes	characteristic
930	#95	C₂³×C₃	1	1	yes	characteristic
931	#95	C₂³×C₃	1	1	yes	characteristic
932	#95	C₂³×C₃	1	1	yes	characteristic
933	#95	C₂³×C₃	1	1	yes	characteristic
934	#95	C₂³×C₃	1	1	yes	characteristic
935	#95	C₂³×C₃	1	1	yes	characteristic
936	#95	C₂³×C₃	1	1	yes	characteristic
937	#95	C₂³×C₃	1	1	yes	characteristic
938	#95	C₂³×C₃	1	1	yes	characteristic
939	#95	C₂³×C₃	1	1	yes	characteristic
940	#95	C₂³×C₃	1	1	yes	characteristic
941	#95	C₂³×C₃	1	1	yes	characteristic
942	#95	C₂³×C₃	1	1	yes	characteristic
943	#95	C₂³×C₃	1	1	yes	characteristic
944	#95	C₂³×C₃	1	1	yes	characteristic
945	#95	C₂³×C₃	1	1	yes	characteristic
946	#95	C₂³×C₃	1	1	yes	characteristic
947	#95	C₂³×C₃	1	1	yes	characteristic
948	#95	C₂³×C₃	1	1	yes	characteristic
949	#95	C₂³×C₃	1	1	yes	characteristic
950	#95	C₂³×C₃	1	1	yes	characteristic
951	#95	C₂³×C₃	1	1	yes	characteristic
952	#95	C₂³×C₃	1	1	yes	characteristic
953	#95	C₂³×C₃	1	1	yes	characteristic
954	#95	C₂³×C₃	1	1	yes	characteristic
955	#95	C₂³×C₃	1	1	yes	characteristic
956	#95	C₂³×C₃	1	1	yes	characteristic
957	#95	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	C₂³×C₃	—	2	1	no	—
963	C₂³×C₃	—	2	1	no	—
964	C₂³×C₃	—	2	1	no	—
965	C₂³×C₃	—	2	1	no	—
966	C₂³×C₃	—	2	1	no	—
967	C₂³×C₃	—	2	1	no	—
968	C₂³×C₃	—	2	1	no	—
969	C₂³×C₃	—	2	1	no	—
970	C₂³×C₃	—	2	1	no	—
971	C₂³×C₃	—	2	1	no	—
972	C₂³×C₃	—	2	1	no	—
973	C₂³×C₃	—	2	1	no	—
974	C₂³×C₃	—	2	1	no	—
975	C₂³×C₃	—	2	1	no	—
976	C₂³×C₃	—	2	1	no	—
977	C₂³×C₃	—	2	1	no	—
978	C₂³×C₃	—	2	1	no	—
979	C₂³×C₃	—	2	1	no	—
980	C₂³×C₃	—	2	1	no	—
981	C₂³×C₃	—	2	1	no	—
982	C₂³×C₃	—	2	1	no	—
983	C₂³×C₃	—	2	1	no	—
984	C₂³×C₃	—	2	1	no	—
985	C₂³×C₃	—	2	1	no	—
986	C₂³×C₃	—	2	1	no	—
987	C₂³×C₃	—	2	1	no	—
988	C₂³×C₃	—	2	1	no	—
989	C₂³×C₃	—	2	1	no	—
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	—	4	4	no	—
999	C₂³×C₃	—	4	4	no	—
1000	C₂³×C₃	—	4	4	no	—
1001	C₂³×C₃	—	8	2	no	—
1002	C₂³×C₃	—	8	2	no	—
1003	C₂³×C₃	—	8	2	no	—
1004	C₂³×C₃	—	8	2	no	—
1005	C₂³×C₃	C₂³×C₄	1	2	yes	—
1006	C₂³×C₃	C₂³×C₄	1	2	yes	—
1007	C₂³×C₃	C₂³×C₄	1	2	yes	—
1008	C₂³×C₃	C₂³×C₄	1	2	yes	—
1009	C₂³×C₃	C₂³×C₄	1	2	yes	—
1010	C₂³×C₃	C₂³×C₄	1	2	yes	—
1011	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1012	C₃×D₄	—	4	4	no	—
1013	C₃×D₄	—	4	4	no	—
1014	C₃×D₄	—	4	4	no	—
1015	C₃×D₄	—	4	4	no	—
1016	C₃×D₄	—	4	4	no	—
1017	C₃×D₄	—	4	4	no	—
1018	C₃×D₄	—	4	4	no	—
1019	C₃×D₄	—	4	4	no	—
1020	C₃×D₄	—	4	4	no	—
1021	C₃×D₄	—	4	4	no	—
1022	C₃×D₄	—	4	4	no	—
1023	C₃×D₄	—	4	4	no	—
1024	C₂×C₃×C₄	—	2	1	no	—
1025	C₂×C₃×C₄	—	2	1	no	—
1026	C₂×C₃×C₄	—	2	1	no	—
1027	C₂×C₃×C₄	—	2	1	no	—
1028	C₂×C₃×C₄	—	2	1	no	—
1029	C₂×C₃×C₄	—	2	1	no	—
1030	C₂×C₃×C₄	—	2	1	no	—
1031	C₂×C₃×C₄	—	2	1	no	—
1032	C₂×C₃×C₄	—	2	1	no	—
1033	C₂×C₃×C₄	—	2	1	no	—
1034	C₂×C₃×C₄	—	2	1	no	—
1035	C₂×C₃×C₄	—	2	1	no	—
1036	C₂×C₃×C₄	—	2	1	no	—
1037	C₂×C₃×C₄	—	2	1	no	—
1038	C₂×C₃×C₄	—	2	1	no	—
1039	C₂×C₃×C₄	—	2	1	no	—
1040	C₂×C₃×C₄	—	2	1	no	—
1041	C₂×C₃×C₄	—	2	1	no	—
1042	C₂×C₃×C₄	—	2	1	no	—
1043	C₂×C₃×C₄	—	2	1	no	—
1044	C₂×C₃×C₄	—	2	1	no	—
1045	C₂×C₃×C₄	—	2	1	no	—
1046	C₂×C₃×C₄	—	2	1	no	—
1047	C₂×C₃×C₄	—	2	1	no	—
1048	C₂×C₃×C₄	—	2	1	no	—
1049	C₂×C₃×C₄	—	2	1	no	—
1050	C₂×C₃×C₄	—	2	1	no	—
1051	C₂×C₃×C₄	—	2	1	no	—
1052	C₂×C₃×C₄	—	2	1	no	—
1053	C₂×C₃×C₄	—	2	1	no	—
1054	C₂×C₃×C₄	—	2	1	no	—
1055	C₂×C₃×C₄	—	2	1	no	—
1056	C₂×C₃×C₄	—	2	1	no	—
1057	C₂×C₃×C₄	—	2	1	no	—
1058	C₂×C₃×C₄	—	2	1	no	—
1059	C₂×C₃×C₄	—	2	1	no	—
1060	C₂×C₃×C₄	—	2	1	no	—
1061	C₂×C₃×C₄	—	2	1	no	—
1062	C₂×C₃×C₄	—	2	1	no	—
1063	C₂×C₃×C₄	—	2	1	no	—
1064	C₂×C₃×C₄	—	2	1	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	—	4	4	no	—
1088	C₂×C₃×C₄	—	4	4	no	—
1089	C₂×C₃×C₄	—	4	4	no	—
1090	C₂×C₃×C₄	—	4	4	no	—
1091	C₂×C₃×C₄	—	4	4	no	—
1092	C₂×C₃×C₄	—	8	2	no	—
1093	C₂×C₃×C₄	—	8	2	no	—
1094	C₂×C₃×C₄	—	8	2	no	—
1095	C₂×C₃×C₄	—	8	2	no	—
1096	C₂×C₃×C₄	—	8	2	no	—
1097	C₂×C₃×C₄	—	8	2	no	—
1098	C₂×C₃×C₄	—	8	2	no	—
1099	C₂×C₃×C₄	—	8	2	no	—
1100	C₂×C₃×C₄	—	8	2	no	—
1101	C₂×C₃×C₄	—	8	2	no	—
1102	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1103	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1104	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1105	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1106	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1107	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1108	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1109	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1110	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1111	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1112	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1113	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1114	C₂⁴	—	4	1	no	—
1115	C₂⁴	—	4	1	no	—
1116	C₂⁴	—	4	1	no	—
1117	C₂⁴	—	4	1	no	—
1118	C₂⁴	—	4	1	no	—
1119	C₂⁴	—	4	1	no	—
1120	C₂⁴	C₂²×C₃×C₄	1	4	yes	—
1121	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1122	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1123	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1124	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1125	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1126	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1127	C₂×D₄	—	4	1	no	—
1128	C₂×D₄	—	4	1	no	—
1129	C₂×D₄	—	4	1	no	—
1130	C₂×D₄	—	4	1	no	—
1131	C₂×D₄	—	4	1	no	—
1132	C₂×D₄	—	4	1	no	—
1133	C₂×D₄	—	4	1	no	—
1134	C₂×D₄	—	4	1	no	—
1135	C₂×D₄	—	4	1	no	—
1136	C₂×D₄	—	4	1	no	—
1137	C₂×D₄	—	4	1	no	—
1138	C₂×D₄	—	4	1	no	—
1139	C₂×D₄	—	4	1	no	—
1140	C₂×D₄	—	4	1	no	—
1141	C₂×D₄	—	4	1	no	—
1142	C₂×D₄	—	4	1	no	—
1143	C₂×D₄	—	4	1	no	—
1144	C₂×D₄	—	4	1	no	—
1145	C₂×D₄	—	4	1	no	—
1146	C₂×D₄	—	4	1	no	—
1147	C₂×D₄	—	4	1	no	—
1148	C₂×D₄	—	4	1	no	—
1149	C₂×D₄	—	4	1	no	—
1150	C₂×D₄	—	4	1	no	—
1151	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1152	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1153	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1154	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1155	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1156	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1157	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1158	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1159	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1160	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1161	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1162	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1163	C₂²×C₄	—	2	2	no	—
1164	C₂²×C₄	—	2	2	no	—
1165	C₂²×C₄	—	2	2	no	—
1166	C₂²×C₄	—	2	2	no	—
1167	C₂²×C₄	—	2	2	no	—
1168	C₂²×C₄	—	2	2	no	—
1169	C₂²×C₄	—	2	2	no	—
1170	C₂²×C₄	—	2	2	no	—
1171	C₂²×C₄	—	4	1	no	—
1172	C₂²×C₄	—	4	1	no	—
1173	C₂²×C₄	—	4	1	no	—
1174	C₂²×C₄	—	4	1	no	—
1175	C₂²×C₄	—	4	1	no	—
1176	C₂²×C₄	—	4	1	no	—
1177	C₂²×C₄	—	4	1	no	—
1178	C₂²×C₄	—	4	1	no	—
1179	C₂²×C₄	—	4	1	no	—
1180	C₂²×C₄	—	4	1	no	—
1181	C₂²×C₄	—	4	1	no	—
1182	C₂²×C₄	—	4	1	no	—
1183	C₂²×C₄	—	4	1	no	—
1184	C₂²×C₄	—	4	1	no	—
1185	C₂²×C₄	—	4	1	no	—
1186	C₂²×C₄	—	4	1	no	—
1187	C₂²×C₄	—	4	1	no	—
1188	C₂²×C₄	—	4	1	no	—
1189	C₂²×C₄	—	4	1	no	—
1190	C₂²×C₄	—	4	1	no	—
1191	C₂²×C₄	—	4	1	no	—
1192	C₂²×C₄	—	4	1	no	—
1193	C₂²×C₄	—	4	1	no	—
1194	C₂²×C₄	—	4	1	no	—
1195	C₂²×C₄	—	4	1	no	—
1196	C₂²×C₄	—	4	1	no	—
1197	C₂²×C₄	—	4	1	no	—
1198	C₂²×C₄	—	4	1	no	—
1199	C₂²×C₄	—	4	1	no	—
1200	C₂²×C₄	—	4	1	no	—
1201	C₂²×C₄	—	4	1	no	—
1202	C₂²×C₄	—	4	1	no	—
1203	C₂²×C₄	—	4	1	no	—
1204	C₂²×C₄	—	4	1	no	—
1205	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
1206	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
1207	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
1208	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1209	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1210	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1211	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1212	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1213	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1214	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1215	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1216	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1217	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1218	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1219	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1220	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1221	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1222	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1223	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1224	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1225	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1226	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1227	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1228	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1229	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1230	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1231	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1232	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1233	C₄⋊C₄	—	2	2	no	—
1234	C₄⋊C₄	—	2	2	no	—
1235	C₄⋊C₄	—	2	2	no	—
1236	C₄⋊C₄	—	2	2	no	—
1237	C₄⋊C₄	—	4	1	no	—
1238	C₄⋊C₄	—	4	1	no	—
1239	C₄⋊C₄	—	4	1	no	—
1240	C₄⋊C₄	—	4	1	no	—
1241	C₄⋊C₄	—	4	1	no	—
1242	C₄⋊C₄	—	4	1	no	—
1243	C₄⋊C₄	—	4	1	no	—
1244	C₄⋊C₄	—	4	1	no	—
1245	C₄⋊C₄	—	4	1	no	—
1246	C₄⋊C₄	—	4	1	no	—
1247	C₄⋊C₄	—	4	1	no	—
1248	C₄⋊C₄	—	4	1	no	—
1249	C₄⋊C₄	—	4	1	no	—
1250	C₄⋊C₄	—	4	1	no	—
1251	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1252	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1253	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1254	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1255	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1256	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1257	C₂²⋊C₄	—	2	2	no	—
1258	C₂²⋊C₄	—	2	2	no	—
1259	C₂²⋊C₄	—	2	2	no	—
1260	C₂²⋊C₄	—	2	2	no	—
1261	C₂²⋊C₄	—	2	2	no	—
1262	C₂²⋊C₄	—	2	2	no	—
1263	C₂²⋊C₄	—	2	2	no	—
1264	C₂²⋊C₄	—	2	2	no	—
1265	C₂²⋊C₄	—	2	2	no	—
1266	C₂²⋊C₄	—	2	2	no	—
1267	C₂²⋊C₄	—	4	1	no	—
1268	C₂²⋊C₄	—	4	1	no	—
1269	C₂²⋊C₄	—	4	1	no	—
1270	C₂²⋊C₄	—	4	1	no	—
1271	C₂²⋊C₄	—	4	1	no	—
1272	C₂²⋊C₄	—	4	1	no	—
1273	C₂²⋊C₄	—	4	1	no	—
1274	C₂²⋊C₄	—	4	1	no	—
1275	C₂²⋊C₄	—	4	1	no	—
1276	C₂²⋊C₄	—	4	1	no	—
1277	C₂²⋊C₄	—	4	1	no	—
1278	C₂²⋊C₄	—	4	1	no	—
1279	C₂²⋊C₄	—	4	1	no	—
1280	C₂²⋊C₄	—	4	1	no	—
1281	C₂²⋊C₄	—	4	1	no	—
1282	C₂²⋊C₄	—	4	1	no	—
1283	C₂²⋊C₄	—	4	1	no	—
1284	C₂²⋊C₄	—	4	1	no	—
1285	C₂²⋊C₄	—	4	1	no	—
1286	C₂²⋊C₄	—	4	1	no	—
1287	C₂²⋊C₄	—	4	1	no	—
1288	C₂²⋊C₄	—	4	1	no	—
1289	C₂²⋊C₄	—	4	1	no	—
1290	C₂²⋊C₄	—	4	1	no	—
1291	C₂²⋊C₄	—	4	1	no	—
1292	C₂²⋊C₄	—	4	1	no	—
1293	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1294	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1295	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1296	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1297	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1298	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1299	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1300	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1301	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1302	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1303	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1304	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1305	C₄²	—	2	2	no	—
1306	C₄²	—	2	2	no	—
1307	C₄²	—	2	2	no	—
1308	C₄²	—	2	2	no	—
1309	C₄²	—	2	2	no	—
1310	C₄²	—	4	1	no	—
1311	C₄²	—	4	1	no	—
1312	C₄²	—	4	1	no	—
1313	C₄²	—	4	1	no	—
1314	C₄²	—	4	1	no	—
1315	C₄²	—	4	1	no	—
1316	C₄²	—	4	1	no	—
1317	C₄²	—	4	1	no	—
1318	C₄²	—	4	1	no	—
1319	C₄²	—	4	1	no	—
1320	C₄²	—	4	1	no	—
1321	C₄²	—	4	1	no	—
1322	C₄²	—	4	1	no	—
1323	C₄²	C₂²×C₃×C₄	1	4	yes	—
1324	C₂²×C₃	—	2	2	no	—
1325	C₂²×C₃	—	2	2	no	—
1326	C₂²×C₃	—	2	2	no	—
1327	C₂²×C₃	—	2	2	no	—
1328	C₂²×C₃	—	2	2	no	—
1329	C₂²×C₃	—	2	2	no	—
1330	C₂²×C₃	—	2	2	no	—
1331	C₂²×C₃	—	2	2	no	—
1332	C₂²×C₃	—	2	2	no	—
1333	C₂²×C₃	—	2	2	no	—
1334	C₂²×C₃	—	2	2	no	—
1335	C₂²×C₃	—	2	2	no	—
1336	C₂²×C₃	—	2	2	no	—
1337	C₂²×C₃	—	2	2	no	—
1338	C₂²×C₃	—	2	2	no	—
1339	C₂²×C₃	—	2	2	no	—
1340	C₂²×C₃	—	2	2	no	—
1341	C₂²×C₃	—	2	2	no	—
1342	C₂²×C₃	—	4	1	no	—
1343	C₂²×C₃	—	4	1	no	—
1344	C₂²×C₃	—	4	1	no	—
1345	C₂²×C₃	—	4	1	no	—
1346	C₂²×C₃	—	4	1	no	—
1347	C₂²×C₃	—	4	1	no	—
1348	C₂²×C₃	—	4	1	no	—
1349	C₂²×C₃	—	4	1	no	—
1350	C₂²×C₃	—	4	1	no	—
1351	C₂²×C₃	—	4	1	no	—
1352	C₂²×C₃	—	4	1	no	—
1353	C₂²×C₃	—	4	1	no	—
1354	C₂²×C₃	—	4	1	no	—
1355	C₂²×C₃	—	4	1	no	—
1356	C₂²×C₃	—	4	1	no	—
1357	C₂²×C₃	—	4	1	no	—
1358	C₂²×C₃	—	4	1	no	—
1359	C₂²×C₃	—	4	1	no	—
1360	C₂²×C₃	—	4	1	no	—
1361	C₂²×C₃	—	4	1	no	—
1362	C₂²×C₃	—	4	1	no	—
1363	C₂²×C₃	—	4	1	no	—
1364	C₂²×C₃	—	4	1	no	—
1365	C₂²×C₃	—	4	1	no	—
1366	C₂²×C₃	—	8	8	no	—
1367	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1368	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1369	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1370	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1371	C₂²×C₃	#585	1	1	yes	characteristic
1372	C₂²×C₃	#585	1	1	yes	characteristic
1373	C₂²×C₃	#585	1	1	yes	characteristic
1374	C₃×C₄	—	2	2	no	—
1375	C₃×C₄	—	2	2	no	—
1376	C₃×C₄	—	2	2	no	—
1377	C₃×C₄	—	2	2	no	—
1378	C₃×C₄	—	2	2	no	—
1379	C₃×C₄	—	2	2	no	—
1380	C₃×C₄	—	2	2	no	—
1381	C₃×C₄	—	2	2	no	—
1382	C₃×C₄	—	2	2	no	—
1383	C₃×C₄	—	2	2	no	—
1384	C₃×C₄	—	2	2	no	—
1385	C₃×C₄	—	2	2	no	—
1386	C₃×C₄	—	4	1	no	—
1387	C₃×C₄	—	4	1	no	—
1388	C₃×C₄	—	4	1	no	—
1389	C₃×C₄	—	4	1	no	—
1390	C₃×C₄	—	4	1	no	—
1391	C₃×C₄	—	4	1	no	—
1392	C₃×C₄	—	4	1	no	—
1393	C₃×C₄	—	4	1	no	—
1394	C₃×C₄	—	4	1	no	—
1395	C₃×C₄	—	4	1	no	—
1396	C₃×C₄	—	4	1	no	—
1397	C₃×C₄	—	4	1	no	—
1398	C₃×C₄	—	4	1	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	2	1	no	—
1401	C₂³	—	2	1	no	—
1402	C₂³	—	2	1	no	—
1403	C₂³	—	2	1	no	—
1404	C₂³	—	2	1	no	—
1405	C₂³	—	2	1	no	—
1406	C₂³	—	2	1	no	—
1407	C₂³	—	2	1	no	—
1408	C₂³	—	2	1	no	—
1409	C₂³	—	2	1	no	—
1410	C₂³	—	2	1	no	—
1411	C₂³	—	2	1	no	—
1412	C₂³	—	2	1	no	—
1413	C₂³	—	2	1	no	—
1414	C₂³	—	2	1	no	—
1415	C₂³	—	2	1	no	—
1416	C₂³	—	2	1	no	—
1417	C₂³	—	2	1	no	—
1418	C₂³	—	2	1	no	—
1419	C₂³	—	2	1	no	—
1420	C₂³	—	2	1	no	—
1421	C₂³	—	2	1	no	—
1422	C₂³	—	2	1	no	—
1423	C₂³	—	2	1	no	—
1424	C₂³	—	2	1	no	—
1425	C₂³	—	2	1	no	—
1426	C₂³	—	2	1	no	—
1427	C₂³	—	2	1	no	—
1428	C₂³	—	2	1	no	—
1429	C₂³	—	2	1	no	—
1430	C₂³	—	2	1	no	—
1431	C₂³	—	2	1	no	—
1432	C₂³	—	2	1	no	—
1433	C₂³	—	2	1	no	—
1434	C₂³	—	2	1	no	—
1435	C₂³	—	4	4	no	—
1436	C₂³	—	4	4	no	—
1437	C₂³	—	4	4	no	—
1438	C₂³	—	8	2	no	—
1439	C₂³	—	8	2	no	—
1440	C₂³	—	8	2	no	—
1441	C₂³	—	8	2	no	—
1442	C₂³	C₂³×C₃×C₄	1	2	yes	—
1443	C₂³	C₂³×C₃×C₄	1	2	yes	—
1444	C₂³	C₂³×C₃×C₄	1	2	yes	—
1445	C₂³	C₂³×C₃×C₄	1	2	yes	—
1446	C₂³	C₂³×C₃×C₄	1	2	yes	—
1447	C₂³	C₂³×C₃×C₄	1	2	yes	—
1448	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1449	D₄	—	4	4	no	—
1450	D₄	—	4	4	no	—
1451	D₄	—	4	4	no	—
1452	D₄	—	4	4	no	—
1453	D₄	—	4	4	no	—
1454	D₄	—	4	4	no	—
1455	D₄	—	4	4	no	—
1456	D₄	—	4	4	no	—
1457	D₄	—	4	4	no	—
1458	D₄	—	4	4	no	—
1459	D₄	—	4	4	no	—
1460	D₄	—	4	4	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	4	4	no	—
1525	C₂×C₄	—	4	4	no	—
1526	C₂×C₄	—	4	4	no	—
1527	C₂×C₄	—	4	4	no	—
1528	C₂×C₄	—	4	4	no	—
1529	C₂×C₄	—	8	2	no	—
1530	C₂×C₄	—	8	2	no	—
1531	C₂×C₄	—	8	2	no	—
1532	C₂×C₄	—	8	2	no	—
1533	C₂×C₄	—	8	2	no	—
1534	C₂×C₄	—	8	2	no	—
1535	C₂×C₄	—	8	2	no	—
1536	C₂×C₄	—	8	2	no	—
1537	C₂×C₄	—	8	2	no	—
1538	C₂×C₄	—	8	2	no	—
1539	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1540	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1541	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1542	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1543	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1544	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1545	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1546	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1547	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1548	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1549	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1550	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1551	C₂×C₃	—	4	2	no	—
1552	C₂×C₃	—	4	2	no	—
1553	C₂×C₃	—	4	2	no	—
1554	C₂×C₃	—	4	2	no	—
1555	C₂×C₃	—	4	2	no	—
1556	C₂×C₃	—	4	2	no	—
1557	C₂×C₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1558	C₂×C₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1559	C₂×C₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1560	C₂×C₃	#3534	1	1	yes	characteristic
1561	C₂×C₃	#3542	1	1	yes	characteristic
1562	C₂×C₃	#3546	1	1	yes	characteristic
1563	C₂×C₃	#3566	1	1	yes	characteristic
1564	C₂²	—	2	2	no	—
1565	C₂²	—	2	2	no	—
1566	C₂²	—	2	2	no	—
1567	C₂²	—	2	2	no	—
1568	C₂²	—	2	2	no	—
1569	C₂²	—	2	2	no	—
1570	C₂²	—	2	2	no	—
1571	C₂²	—	2	2	no	—
1572	C₂²	—	2	2	no	—
1573	C₂²	—	2	2	no	—
1574	C₂²	—	2	2	no	—
1575	C₂²	—	2	2	no	—
1576	C₂²	—	2	2	no	—
1577	C₂²	—	2	2	no	—
1578	C₂²	—	2	2	no	—
1579	C₂²	—	2	2	no	—
1580	C₂²	—	2	2	no	—
1581	C₂²	—	2	2	no	—
1582	C₂²	—	4	1	no	—
1583	C₂²	—	4	1	no	—
1584	C₂²	—	4	1	no	—
1585	C₂²	—	4	1	no	—
1586	C₂²	—	4	1	no	—
1587	C₂²	—	4	1	no	—
1588	C₂²	—	4	1	no	—
1589	C₂²	—	4	1	no	—
1590	C₂²	—	4	1	no	—
1591	C₂²	—	4	1	no	—
1592	C₂²	—	4	1	no	—
1593	C₂²	—	4	1	no	—
1594	C₂²	—	4	1	no	—
1595	C₂²	—	4	1	no	—
1596	C₂²	—	4	1	no	—
1597	C₂²	—	4	1	no	—
1598	C₂²	—	4	1	no	—
1599	C₂²	—	4	1	no	—
1600	C₂²	—	4	1	no	—
1601	C₂²	—	4	1	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	8	8	no	—
1607	C₂²	C₂⁴×C₃×C₄	1	1	yes	characteristic
1608	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1609	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1610	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1611	C₂²	C₃×#585	1	1	yes	characteristic
1612	C₂²	C₃×#585	1	1	yes	characteristic
1613	C₂²	C₃×#585	1	1	yes	characteristic
1614	C₄	—	2	2	no	—
1615	C₄	—	2	2	no	—
1616	C₄	—	2	2	no	—
1617	C₄	—	2	2	no	—
1618	C₄	—	2	2	no	—
1619	C₄	—	2	2	no	—
1620	C₄	—	2	2	no	—
1621	C₄	—	2	2	no	—
1622	C₄	—	2	2	no	—
1623	C₄	—	2	2	no	—
1624	C₄	—	2	2	no	—
1625	C₄	—	2	2	no	—
1626	C₄	—	4	1	no	—
1627	C₄	—	4	1	no	—
1628	C₄	—	4	1	no	—
1629	C₄	—	4	1	no	—
1630	C₄	—	4	1	no	—
1631	C₄	—	4	1	no	—
1632	C₄	—	4	1	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	4	1	no	—
1639	C₃	#34517	1	1	yes	characteristic, direct product factor, Sylow
1640	C₂	—	4	2	no	—
1641	C₂	—	4	2	no	—
1642	C₂	—	4	2	no	—
1643	C₂	—	4	2	no	—
1644	C₂	—	4	2	no	—
1645	C₂	—	4	2	no	—
1646	C₂	C₃×C₄×H(5,𝔽₂)	1	1	yes	characteristic
1647	C₂	C₃×C₄×H(5,𝔽₂)	1	1	yes	characteristic
1648	C₂	C₃×C₄×H(5,𝔽₂)	1	1	yes	characteristic
1649	C₂	C₃×#3534	1	1	yes	characteristic
1650	C₂	C₃×#3542	1	1	yes	characteristic
1651	C₂	C₃×#3546	1	1	yes	characteristic
1652	C₂	C₃×#3566	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator	C₂²	C₂⁴×C₃×C₄
Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₂×C₃×#560	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₃×#2377	C₂	semidirect
3. C₃×#2377	C₂	semidirect
4. C₃×#2376	C₂	semidirect
5. C₃×#2373	C₂	semidirect
6. C₃×#2373	C₂	semidirect
7. C₃×#2366	C₂	semidirect
8. C₃×#2364	C₂	semidirect
9. C₃×#2364	C₂	semidirect
10. C₃×#2363	C₂	semidirect
11. C₃×#2363	C₂	semidirect
12. C₃×#2359	C₂	semidirect
13. C₃×#2359	C₂	semidirect
14. C₃×#2358	C₂	semidirect
15. C₃×#2358	C₂	semidirect
16. C₃×#2358	C₂	semidirect
17. C₃×#2335	C₂	semidirect
18. C₃×#2335	C₂	semidirect
19. C₃×#2334	C₂	semidirect
20. C₃×#2334	C₂	semidirect
21. C₃×#2328	C₂	semidirect
22. C₃×#2325	C₂	semidirect
23. C₃×#2325	C₂	semidirect
24. C₃×#2324	C₂	semidirect
25. C₃×#2324	C₂	semidirect
26. C₃×#2321	C₂	semidirect
27. C₃×#2321	C₂	semidirect
28. C₃×#2321	C₂	semidirect
29. C₃×C₄×#123	C₂	semidirect
30. C₃×C₄×#121	C₂	semidirect
31. C₃×C₄×#121	C₂	semidirect
32. #34517	C₃	direct (N × H)
33. C₃×#560	C₄	semidirect
58. C₂×C₃×C₄×D₄	C₂²	semidirect
59. C₂×C₃×C₄×D₄	C₂²	semidirect
60. C₂×C₃×C₄×D₄	C₂²	semidirect
61. C₂×C₃×#117	C₂²	semidirect
62. C₂×C₃×#117	C₂²	semidirect
66. C₂²×C₃×C₄²	C₂²	semidirect
76. C₃×#390	C₂²	semidirect
77. C₃×#390	C₂²	semidirect
78. C₃×#390	C₂²	semidirect
79. C₃×#389	C₂²	semidirect
80. C₃×#389	C₂²	semidirect
81. C₃×#389	C₂²	semidirect
82. C₃×#389	C₂²	semidirect
83. C₃×#389	C₂²	semidirect
84. C₃×#389	C₂²	semidirect
103. C₃×#388	C₂²	semidirect
104. C₃×#388	C₂²	semidirect
105. C₃×#388	C₂²	semidirect
106. C₃×#388	C₂²	semidirect
107. C₃×#388	C₂²	semidirect
108. C₃×#388	C₂²	semidirect
109. C₃×#387	C₂²	semidirect
110. C₃×#387	C₂²	semidirect
111. C₃×#387	C₂²	semidirect
112. C₃×#387	C₂²	semidirect
113. C₃×#387	C₂²	semidirect
114. C₃×#387	C₂²	semidirect
115. C₃×#387	C₂²	semidirect
116. C₃×#387	C₂²	semidirect
117. C₃×#387	C₂²	semidirect
118. C₃×#387	C₂²	semidirect
119. C₃×#387	C₂²	semidirect
120. C₃×#387	C₂²	semidirect
139. C₃×#386	C₂²	semidirect
140. C₃×#386	C₂²	semidirect
141. C₃×#386	C₂²	semidirect
142. C₃×#386	C₂²	semidirect
143. C₃×#386	C₂²	semidirect
144. C₃×#386	C₂²	semidirect
154. C₃×#385	C₂²	semidirect
155. C₃×#385	C₂²	semidirect
156. C₃×#385	C₂²	semidirect
157. C₃×#382	C₂²	semidirect
158. C₃×#381	C₂²	semidirect
159. C₃×#380	C₂²	semidirect
160. C₃×#380	C₂²	semidirect
161. C₃×#380	C₂²	semidirect
162. C₃×#380	C₂²	semidirect
164. C₃×C₄×C₄⋊C₄	C₂²	semidirect
165. C₃×C₄×C₄⋊C₄	C₂²	semidirect
166. C₃×C₄×C₄⋊C₄	C₂²	semidirect
167. C₃×C₄×C₄⋊C₄	C₂²	semidirect
168. C₃×C₄×C₄⋊C₄	C₂²	semidirect
169. C₃×C₄×C₄⋊C₄	C₂²	semidirect
170. C₃×C₄×C₄⋊C₄	C₂²	semidirect
171. C₃×C₄×C₄⋊C₄	C₂²	semidirect
181. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
182. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
183. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
184. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
185. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
186. C₃×#376	C₂²	semidirect
187. C₂×C₃×#95	C₂²	semidirect
188. C₂×C₃×#95	C₂²	semidirect
190. #2377	C₂×C₃	semidirect
191. #2377	C₂×C₃	semidirect
192. #2376	C₂×C₃	semidirect
193. #2373	C₂×C₃	semidirect
194. #2373	C₂×C₃	semidirect
195. #2366	C₂×C₃	semidirect
196. #2364	C₂×C₃	semidirect
197. #2364	C₂×C₃	semidirect
198. #2363	C₂×C₃	semidirect
199. #2363	C₂×C₃	semidirect
200. #2359	C₂×C₃	semidirect
201. #2359	C₂×C₃	semidirect
202. #2358	C₂×C₃	semidirect
203. #2358	C₂×C₃	semidirect
204. #2358	C₂×C₃	semidirect
205. #2335	C₂×C₃	semidirect
206. #2335	C₂×C₃	semidirect
207. #2334	C₂×C₃	semidirect
208. #2334	C₂×C₃	semidirect
209. #2328	C₂×C₃	semidirect
210. #2325	C₂×C₃	semidirect
211. #2325	C₂×C₃	semidirect
212. #2324	C₂×C₃	semidirect
213. #2324	C₂×C₃	semidirect
214. #2321	C₂×C₃	semidirect
215. #2321	C₂×C₃	semidirect
216. #2321	C₂×C₃	semidirect
217. C₄×#123	C₂×C₃	semidirect
218. C₄×#121	C₂×C₃	semidirect
219. C₄×#121	C₂×C₃	semidirect
248. C₃×#127	C₂×C₄	semidirect
249. C₃×#126	C₂×C₄	semidirect
250. C₃×#126	C₂×C₄	semidirect
251. C₃×#123	C₂×C₄	semidirect
252. C₃×#123	C₂×C₄	semidirect
253. C₃×#123	C₂×C₄	semidirect
254. C₃×#121	C₂×C₄	semidirect
255. C₃×#121	C₂×C₄	semidirect
256. C₃×#121	C₂×C₄	semidirect
257. C₃×#121	C₂×C₄	semidirect
258. C₃×#121	C₂×C₄	semidirect
259. C₃×#121	C₂×C₄	semidirect
260. C₃×#120	C₂×C₄	semidirect
261. C₃×#120	C₂×C₄	semidirect
262. C₃×#120	C₂×C₄	semidirect
408. #560	C₃×C₄	semidirect
433. C₂×C₄×D₄	C₂²×C₃	semidirect
434. C₂×C₄×D₄	C₂²×C₃	semidirect
435. C₂×C₄×D₄	C₂²×C₃	semidirect
436. C₂×#117	C₂²×C₃	semidirect
437. C₂×#117	C₂²×C₃	semidirect
441. C₂²×C₄²	C₂²×C₃	semidirect
451. #390	C₂²×C₃	semidirect
452. #390	C₂²×C₃	semidirect
453. #390	C₂²×C₃	semidirect
454. #389	C₂²×C₃	semidirect
455. #389	C₂²×C₃	semidirect
456. #389	C₂²×C₃	semidirect
457. #389	C₂²×C₃	semidirect
458. #389	C₂²×C₃	semidirect
459. #389	C₂²×C₃	semidirect
478. #388	C₂²×C₃	semidirect
479. #388	C₂²×C₃	semidirect
480. #388	C₂²×C₃	semidirect
481. #388	C₂²×C₃	semidirect
482. #388	C₂²×C₃	semidirect
483. #388	C₂²×C₃	semidirect
484. #387	C₂²×C₃	semidirect
485. #387	C₂²×C₃	semidirect
486. #387	C₂²×C₃	semidirect
487. #387	C₂²×C₃	semidirect
488. #387	C₂²×C₃	semidirect
489. #387	C₂²×C₃	semidirect
490. #387	C₂²×C₃	semidirect
491. #387	C₂²×C₃	semidirect
492. #387	C₂²×C₃	semidirect
493. #387	C₂²×C₃	semidirect
494. #387	C₂²×C₃	semidirect
495. #387	C₂²×C₃	semidirect
514. #386	C₂²×C₃	semidirect
515. #386	C₂²×C₃	semidirect
516. #386	C₂²×C₃	semidirect
517. #386	C₂²×C₃	semidirect
518. #386	C₂²×C₃	semidirect
519. #386	C₂²×C₃	semidirect
529. #385	C₂²×C₃	semidirect
530. #385	C₂²×C₃	semidirect
531. #385	C₂²×C₃	semidirect
532. #382	C₂²×C₃	semidirect
533. #381	C₂²×C₃	semidirect
534. #380	C₂²×C₃	semidirect
535. #380	C₂²×C₃	semidirect
536. #380	C₂²×C₃	semidirect
537. #380	C₂²×C₃	semidirect
539. C₄×C₄⋊C₄	C₂²×C₃	semidirect
540. C₄×C₄⋊C₄	C₂²×C₃	semidirect
541. C₄×C₄⋊C₄	C₂²×C₃	semidirect
542. C₄×C₄⋊C₄	C₂²×C₃	semidirect
543. C₄×C₄⋊C₄	C₂²×C₃	semidirect
544. C₄×C₄⋊C₄	C₂²×C₃	semidirect
545. C₄×C₄⋊C₄	C₂²×C₃	semidirect
546. C₄×C₄⋊C₄	C₂²×C₃	semidirect
556. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
557. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
558. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
559. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
560. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
561. #376	C₂²×C₃	semidirect
562. C₂×#95	C₂²×C₃	semidirect
563. C₂×#95	C₂²×C₃	semidirect
802. #127	C₂×C₃×C₄	semidirect
803. #126	C₂×C₃×C₄	semidirect
804. #126	C₂×C₃×C₄	semidirect
805. #123	C₂×C₃×C₄	semidirect
806. #123	C₂×C₃×C₄	semidirect
807. #123	C₂×C₃×C₄	semidirect
808. #121	C₂×C₃×C₄	semidirect
809. #121	C₂×C₃×C₄	semidirect
810. #121	C₂×C₃×C₄	semidirect
811. #121	C₂×C₃×C₄	semidirect
812. #121	C₂×C₃×C₄	semidirect
813. #121	C₂×C₃×C₄	semidirect
814. #120	C₂×C₃×C₄	semidirect
815. #120	C₂×C₃×C₄	semidirect
816. #120	C₂×C₃×C₄	semidirect
1639. C₃	#34517	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
C₃×#2377	2
C₃×#2376	2
C₃×#2373	2
C₃×#2366	2
C₃×#2364	2
C₃×#2363	2
C₃×#2359	2
C₃×#2358	2
C₃×#2335	2
C₃×#2334	2
C₃×#2328	2
C₃×#2325	2
C₃×#2324	2
C₃×#2321	2
C₃×C₄×#123	2
C₃×C₄×#121	2
#34517	3

Subgroups — C3×#34517 #10653124

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#34517 #10653124