Subgroups — C₃×#35904 #10654511

Order 768.

2204 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2651	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#2648	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2646	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2597	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2593	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2579	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2559	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2554	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2531	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2526	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2480	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2480	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2479	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2476	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2468	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2457	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2444	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2425	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2418	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2418	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2408	C₂	1	1	yes	maximal, characteristic
22	C₃×#2395	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2392	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₃×#394	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#2358	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2358	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#2345	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2342	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#2342	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×D₄×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#2275	C₂	1	1	yes	maximal, characteristic, complemented
32	#35904	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₂³×C₃×D₄	C₂²	1	1	yes	characteristic
34	C₂×C₃×#126	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃×#126	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₃×#123	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃×#123	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃×#121	C₂²	1	1	yes	characteristic
39	C₂×C₃×#121	C₂²	1	1	yes	characteristic
40	C₂×C₃×#120	C₂²	1	1	yes	characteristic
41	C₂×C₃×#120	C₂²	1	1	yes	characteristic
42	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
43	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
44	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
45	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
46	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
47	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
51	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
52	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
53	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
54	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
55	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
56	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
57	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
58	C₃×#400	C₂²	1	1	yes	characteristic, complemented
59	C₃×#400	C₂²	1	1	yes	characteristic, complemented
60	C₃×#400	C₂²	1	1	yes	characteristic, complemented
61	C₃×#400	C₂²	1	1	yes	characteristic, complemented
62	C₃×#399	C₂²	1	1	yes	characteristic, complemented
63	C₃×#399	C₂²	1	1	yes	characteristic, complemented
64	C₃×#398	C₂²	1	1	yes	characteristic, complemented
65	C₃×#398	C₂²	1	1	yes	characteristic, complemented
66	C₃×#398	C₂²	1	1	yes	characteristic, complemented
67	C₃×#398	C₂²	1	1	yes	characteristic, complemented
68	C₃×#398	C₂²	1	1	yes	characteristic, complemented
69	C₃×#398	C₂²	1	1	yes	characteristic, complemented
70	C₃×#397	C₂²	1	1	yes	characteristic, complemented
71	C₃×#397	C₂²	1	1	yes	characteristic, complemented
72	C₃×#397	C₂²	1	1	yes	characteristic, complemented
73	C₃×#397	C₂²	1	1	yes	characteristic, complemented
74	C₃×#397	C₂²	1	1	yes	characteristic, complemented
75	C₃×#397	C₂²	1	1	yes	characteristic, complemented
76	C₃×#397	C₂²	1	1	yes	characteristic, complemented
77	C₃×#397	C₂²	1	1	yes	characteristic, complemented
78	C₃×#396	C₂²	1	1	yes	characteristic, complemented
79	C₃×#396	C₂²	1	1	yes	characteristic, complemented
80	C₃×#396	C₂²	1	1	yes	characteristic, complemented
81	C₃×#396	C₂²	1	1	yes	characteristic, complemented
82	C₃×#394	C₂²	1	1	yes	characteristic
83	C₃×#394	C₂²	1	1	yes	characteristic
84	C₃×#394	C₂²	1	1	yes	characteristic
85	C₃×#394	C₂²	1	1	yes	characteristic
86	C₃×#394	C₂²	1	1	yes	characteristic
87	C₃×#394	C₂²	1	1	yes	characteristic
88	C₃×#394	C₂²	1	1	yes	characteristic
89	C₃×#394	C₂²	1	1	yes	characteristic
90	C₃×#394	C₂²	1	1	yes	characteristic
91	C₃×#394	C₂²	1	1	yes	characteristic
92	C₃×#394	C₂²	1	1	yes	characteristic, complemented
93	C₃×#394	C₂²	1	1	yes	characteristic, complemented
94	C₃×#394	C₂²	1	1	yes	characteristic, complemented
95	C₃×#394	C₂²	1	1	yes	characteristic, complemented
96	C₃×#392	C₂²	1	1	yes	characteristic
97	C₃×#392	C₂²	1	1	yes	characteristic
98	C₃×#390	C₂²	1	1	yes	characteristic
99	C₃×#390	C₂²	1	1	yes	characteristic
100	C₃×#390	C₂²	1	1	yes	characteristic
101	C₃×#390	C₂²	1	1	yes	characteristic
102	C₃×#390	C₂²	1	1	yes	characteristic, complemented
103	C₃×#390	C₂²	1	1	yes	characteristic, complemented
104	C₃×#389	C₂²	1	1	yes	characteristic, complemented
105	C₃×#389	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×#388	C₂²	1	1	yes	characteristic, complemented
110	C₃×#388	C₂²	1	1	yes	characteristic, complemented
111	C₃×#388	C₂²	1	1	yes	characteristic, complemented
112	C₃×#388	C₂²	1	1	yes	characteristic, complemented
113	C₃×#388	C₂²	1	1	yes	characteristic, complemented
114	C₃×#388	C₂²	1	1	yes	characteristic, complemented
115	C₃×#388	C₂²	1	1	yes	characteristic, complemented
116	C₃×#388	C₂²	1	1	yes	characteristic, complemented
117	C₃×#388	C₂²	1	1	yes	characteristic, complemented
118	C₃×#388	C₂²	1	1	yes	characteristic, complemented
119	C₃×#388	C₂²	1	1	yes	characteristic, complemented
120	C₃×#388	C₂²	1	1	yes	characteristic, complemented
121	C₃×#388	C₂²	1	1	yes	characteristic, complemented
122	C₃×#388	C₂²	1	1	yes	characteristic, complemented
123	C₃×#388	C₂²	1	1	yes	characteristic, complemented
124	C₃×#388	C₂²	1	1	yes	characteristic, complemented
125	C₃×#388	C₂²	1	1	yes	characteristic, complemented
126	C₃×#388	C₂²	1	1	yes	characteristic, complemented
127	C₃×#388	C₂²	1	1	yes	characteristic, complemented
128	C₃×#387	C₂²	1	1	yes	characteristic, complemented
129	C₃×#387	C₂²	1	1	yes	characteristic, complemented
130	C₃×#387	C₂²	1	1	yes	characteristic, complemented
131	C₃×#387	C₂²	1	1	yes	characteristic, complemented
132	C₃×#387	C₂²	1	1	yes	characteristic, complemented
133	C₃×#387	C₂²	1	1	yes	characteristic, complemented
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
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×#386	C₂²	1	1	yes	characteristic, complemented
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, complemented
153	C₃×#385	C₂²	1	1	yes	characteristic, complemented
154	C₃×#385	C₂²	1	1	yes	characteristic, complemented
155	C₃×#385	C₂²	1	1	yes	characteristic, complemented
156	C₃×#381	C₂²	1	1	yes	characteristic, complemented
157	C₃×#381	C₂²	1	1	yes	characteristic, complemented
158	C₃×#380	C₂²	1	1	yes	characteristic
159	C₃×#380	C₂²	1	1	yes	characteristic
160	C₃×#380	C₂²	1	1	yes	characteristic
161	C₃×#380	C₂²	1	1	yes	characteristic
162	C₃×#380	C₂²	1	1	yes	characteristic, complemented
163	C₃×#380	C₂²	1	1	yes	characteristic, complemented
164	C₃×#379	C₂²	1	1	yes	characteristic
165	C₃×#379	C₂²	1	1	yes	characteristic
166	C₃×#379	C₂²	1	1	yes	characteristic
167	C₃×#379	C₂²	1	1	yes	characteristic
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×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
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, complemented
179	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
180	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
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×#376	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₃×#95	C₂²	1	1	yes	characteristic
187	C₂×C₃×#95	C₂²	1	1	yes	characteristic, complemented
188	#2651	C₂×C₃	1	1	yes	characteristic, complemented
189	#2648	C₂×C₃	1	1	yes	characteristic, complemented
190	#2646	C₂×C₃	1	1	yes	characteristic, complemented
191	#2597	C₂×C₃	1	1	yes	characteristic, complemented
192	#2593	C₂×C₃	1	1	yes	characteristic, complemented
193	#2579	C₂×C₃	1	1	yes	characteristic, complemented
194	#2559	C₂×C₃	1	1	yes	characteristic, complemented
195	#2554	C₂×C₃	1	1	yes	characteristic, complemented
196	#2531	C₂×C₃	1	1	yes	characteristic, complemented
197	#2526	C₂×C₃	1	1	yes	characteristic, complemented
198	#2480	C₂×C₃	1	1	yes	characteristic, complemented
199	#2480	C₂×C₃	1	1	yes	characteristic, complemented
200	#2479	C₂×C₃	1	1	yes	characteristic, complemented
201	#2476	C₂×C₃	1	1	yes	characteristic, complemented
202	#2468	C₂×C₃	1	1	yes	characteristic, complemented
203	#2457	C₂×C₃	1	1	yes	characteristic, complemented
204	#2444	C₂×C₃	1	1	yes	characteristic, complemented
205	#2425	C₂×C₃	1	1	yes	characteristic, complemented
206	#2418	C₂×C₃	1	1	yes	characteristic, complemented
207	#2418	C₂×C₃	1	1	yes	characteristic, complemented
208	#2408	C₂×C₃	1	1	yes	characteristic
209	#2395	C₂×C₃	1	1	yes	characteristic, complemented
210	#2392	C₂×C₃	1	1	yes	characteristic, complemented
211	C₂×#394	C₂×C₃	1	1	yes	characteristic, complemented
212	#2358	C₂×C₃	1	1	yes	characteristic, complemented
213	#2358	C₂×C₃	1	1	yes	characteristic, complemented
214	#2345	C₂×C₃	1	1	yes	characteristic, complemented
215	#2342	C₂×C₃	1	1	yes	characteristic, complemented
216	#2342	C₂×C₃	1	1	yes	characteristic, complemented
217	D₄×C₂²⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
218	#2275	C₂×C₃	1	1	yes	characteristic, complemented
219	C₂⁵×C₃	C₂³	1	1	yes	characteristic
220	C₂⁵×C₃	C₂³	1	1	yes	characteristic
221	C₂²×C₃×D₄	—	2	4	no	—
222	C₂²×C₃×D₄	—	4	2	no	—
223	C₂²×C₃×D₄	—	4	2	no	—
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	C₃×#126	—	4	2	no	—
246	C₃×#126	—	4	2	no	—
247	C₃×#123	—	4	2	no	—
248	C₃×#123	—	4	2	no	—
249	C₃×#121	—	4	2	no	—
250	C₃×#121	—	4	2	no	—
251	C₃×#120	—	2	4	no	—
252	C₃×#120	—	2	4	no	—
253	C₃×C₄×D₄	—	2	4	no	—
254	C₃×C₄×D₄	—	2	4	no	—
255	C₃×C₄×D₄	—	2	4	no	—
256	C₃×C₄×D₄	—	4	2	no	—
257	C₃×C₄×D₄	—	4	2	no	—
258	C₃×C₄×D₄	—	4	2	no	—
259	C₃×C₄×D₄	—	4	2	no	—
260	C₃×#117	—	4	2	no	—
261	C₃×#117	—	4	2	no	—
262	C₂×C₃×C₄⋊C₄	—	2	4	no	—
263	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	4	no	—
291	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
292	C₂×C₃×C₂²⋊C₄	—	4	2	no	—
293	C₂×C₃×C₂²⋊C₄	—	4	2	no	—
294	C₂×C₃×C₂²⋊C₄	—	4	2	no	—
295	C₂×C₃×C₂²⋊C₄	—	4	2	no	—
296	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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×C₄²	C₂³	1	1	yes	characteristic
351	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
352	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
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	C₃×#95	C₂³	1	1	yes	characteristic
364	C₃×#95	C₂³	1	1	yes	characteristic
365	C₃×#95	C₂³	1	1	yes	characteristic
366	C₃×#95	C₂³	1	1	yes	characteristic
367	C₃×#95	C₂³	1	1	yes	characteristic
368	C₃×#95	C₂³	1	1	yes	characteristic
369	C₃×#95	C₂³	1	1	yes	characteristic
370	C₃×#95	C₂³	1	1	yes	characteristic
371	C₃×#95	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	C₂³×D₄	C₂²×C₃	1	1	yes	characteristic
402	C₂×#126	C₂²×C₃	1	1	yes	characteristic, complemented
403	C₂×#126	C₂²×C₃	1	1	yes	characteristic, complemented
404	C₂×#123	C₂²×C₃	1	1	yes	characteristic, complemented
405	C₂×#123	C₂²×C₃	1	1	yes	characteristic, complemented
406	C₂×#121	C₂²×C₃	1	1	yes	characteristic
407	C₂×#121	C₂²×C₃	1	1	yes	characteristic
408	C₂×#120	C₂²×C₃	1	1	yes	characteristic
409	C₂×#120	C₂²×C₃	1	1	yes	characteristic
410	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
411	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
412	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
413	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
414	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
415	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
416	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
417	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
418	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
419	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
420	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
421	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
422	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
423	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
424	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
425	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
426	#400	C₂²×C₃	1	1	yes	characteristic, complemented
427	#400	C₂²×C₃	1	1	yes	characteristic, complemented
428	#400	C₂²×C₃	1	1	yes	characteristic, complemented
429	#400	C₂²×C₃	1	1	yes	characteristic, complemented
430	#399	C₂²×C₃	1	1	yes	characteristic, complemented
431	#399	C₂²×C₃	1	1	yes	characteristic, complemented
432	#398	C₂²×C₃	1	1	yes	characteristic, complemented
433	#398	C₂²×C₃	1	1	yes	characteristic, complemented
434	#398	C₂²×C₃	1	1	yes	characteristic, complemented
435	#398	C₂²×C₃	1	1	yes	characteristic, complemented
436	#398	C₂²×C₃	1	1	yes	characteristic, complemented
437	#398	C₂²×C₃	1	1	yes	characteristic, complemented
438	#397	C₂²×C₃	1	1	yes	characteristic, complemented
439	#397	C₂²×C₃	1	1	yes	characteristic, complemented
440	#397	C₂²×C₃	1	1	yes	characteristic, complemented
441	#397	C₂²×C₃	1	1	yes	characteristic, complemented
442	#397	C₂²×C₃	1	1	yes	characteristic, complemented
443	#397	C₂²×C₃	1	1	yes	characteristic, complemented
444	#397	C₂²×C₃	1	1	yes	characteristic, complemented
445	#397	C₂²×C₃	1	1	yes	characteristic, complemented
446	#396	C₂²×C₃	1	1	yes	characteristic, complemented
447	#396	C₂²×C₃	1	1	yes	characteristic, complemented
448	#396	C₂²×C₃	1	1	yes	characteristic, complemented
449	#396	C₂²×C₃	1	1	yes	characteristic, complemented
450	#394	C₂²×C₃	1	1	yes	characteristic
451	#394	C₂²×C₃	1	1	yes	characteristic
452	#394	C₂²×C₃	1	1	yes	characteristic
453	#394	C₂²×C₃	1	1	yes	characteristic
454	#394	C₂²×C₃	1	1	yes	characteristic
455	#394	C₂²×C₃	1	1	yes	characteristic
456	#394	C₂²×C₃	1	1	yes	characteristic
457	#394	C₂²×C₃	1	1	yes	characteristic
458	#394	C₂²×C₃	1	1	yes	characteristic
459	#394	C₂²×C₃	1	1	yes	characteristic
460	#394	C₂²×C₃	1	1	yes	characteristic, complemented
461	#394	C₂²×C₃	1	1	yes	characteristic, complemented
462	#394	C₂²×C₃	1	1	yes	characteristic, complemented
463	#394	C₂²×C₃	1	1	yes	characteristic, complemented
464	#392	C₂²×C₃	1	1	yes	characteristic
465	#392	C₂²×C₃	1	1	yes	characteristic
466	#390	C₂²×C₃	1	1	yes	characteristic
467	#390	C₂²×C₃	1	1	yes	characteristic
468	#390	C₂²×C₃	1	1	yes	characteristic
469	#390	C₂²×C₃	1	1	yes	characteristic
470	#390	C₂²×C₃	1	1	yes	characteristic, complemented
471	#390	C₂²×C₃	1	1	yes	characteristic, complemented
472	#389	C₂²×C₃	1	1	yes	characteristic, complemented
473	#389	C₂²×C₃	1	1	yes	characteristic, complemented
474	#388	C₂²×C₃	1	1	yes	characteristic, complemented
475	#388	C₂²×C₃	1	1	yes	characteristic, complemented
476	#388	C₂²×C₃	1	1	yes	characteristic, complemented
477	#388	C₂²×C₃	1	1	yes	characteristic, complemented
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	#388	C₂²×C₃	1	1	yes	characteristic, complemented
485	#388	C₂²×C₃	1	1	yes	characteristic, complemented
486	#388	C₂²×C₃	1	1	yes	characteristic, complemented
487	#388	C₂²×C₃	1	1	yes	characteristic, complemented
488	#388	C₂²×C₃	1	1	yes	characteristic, complemented
489	#388	C₂²×C₃	1	1	yes	characteristic, complemented
490	#388	C₂²×C₃	1	1	yes	characteristic, complemented
491	#388	C₂²×C₃	1	1	yes	characteristic, complemented
492	#388	C₂²×C₃	1	1	yes	characteristic, complemented
493	#388	C₂²×C₃	1	1	yes	characteristic, complemented
494	#388	C₂²×C₃	1	1	yes	characteristic, complemented
495	#388	C₂²×C₃	1	1	yes	characteristic, complemented
496	#387	C₂²×C₃	1	1	yes	characteristic, complemented
497	#387	C₂²×C₃	1	1	yes	characteristic, complemented
498	#387	C₂²×C₃	1	1	yes	characteristic, complemented
499	#387	C₂²×C₃	1	1	yes	characteristic, complemented
500	#387	C₂²×C₃	1	1	yes	characteristic, complemented
501	#387	C₂²×C₃	1	1	yes	characteristic, complemented
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, complemented
509	#386	C₂²×C₃	1	1	yes	characteristic, complemented
510	#386	C₂²×C₃	1	1	yes	characteristic, complemented
511	#386	C₂²×C₃	1	1	yes	characteristic, complemented
512	#386	C₂²×C₃	1	1	yes	characteristic, complemented
513	#386	C₂²×C₃	1	1	yes	characteristic, complemented
514	#385	C₂²×C₃	1	1	yes	characteristic
515	#385	C₂²×C₃	1	1	yes	characteristic
516	#385	C₂²×C₃	1	1	yes	characteristic
517	#385	C₂²×C₃	1	1	yes	characteristic
518	#385	C₂²×C₃	1	1	yes	characteristic
519	#385	C₂²×C₃	1	1	yes	characteristic
520	#385	C₂²×C₃	1	1	yes	characteristic, complemented
521	#385	C₂²×C₃	1	1	yes	characteristic, complemented
522	#385	C₂²×C₃	1	1	yes	characteristic, complemented
523	#385	C₂²×C₃	1	1	yes	characteristic, complemented
524	#381	C₂²×C₃	1	1	yes	characteristic, complemented
525	#381	C₂²×C₃	1	1	yes	characteristic, complemented
526	#380	C₂²×C₃	1	1	yes	characteristic
527	#380	C₂²×C₃	1	1	yes	characteristic
528	#380	C₂²×C₃	1	1	yes	characteristic
529	#380	C₂²×C₃	1	1	yes	characteristic
530	#380	C₂²×C₃	1	1	yes	characteristic, complemented
531	#380	C₂²×C₃	1	1	yes	characteristic, complemented
532	#379	C₂²×C₃	1	1	yes	characteristic
533	#379	C₂²×C₃	1	1	yes	characteristic
534	#379	C₂²×C₃	1	1	yes	characteristic
535	#379	C₂²×C₃	1	1	yes	characteristic
536	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
537	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
538	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
539	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
540	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
541	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
542	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
543	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
544	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
545	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
546	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
547	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
548	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
549	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
550	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
551	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
552	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
553	#376	C₂²×C₃	1	1	yes	characteristic, complemented
554	C₂×#95	C₂²×C₃	1	1	yes	characteristic
555	C₂×#95	C₂²×C₃	1	1	yes	characteristic, complemented
556	C₂⁴×C₃	—	2	2	no	—
557	C₂⁴×C₃	—	2	2	no	—
558	C₂⁴×C₃	—	2	2	no	—
559	C₂⁴×C₃	—	2	2	no	—
560	C₂⁴×C₃	—	2	2	no	—
561	C₂⁴×C₃	—	2	2	no	—
562	C₂⁴×C₃	—	2	2	no	—
563	C₂⁴×C₃	—	2	2	no	—
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	C₂⁴	1	1	yes	characteristic
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	C₂×C₃×D₄	—	2	2	no	—
577	C₂×C₃×D₄	—	2	2	no	—
578	C₂×C₃×D₄	—	2	2	no	—
579	C₂×C₃×D₄	—	2	2	no	—
580	C₂×C₃×D₄	—	2	2	no	—
581	C₂×C₃×D₄	—	2	2	no	—
582	C₂×C₃×D₄	—	2	2	no	—
583	C₂×C₃×D₄	—	2	2	no	—
584	C₂×C₃×D₄	—	2	2	no	—
585	C₂×C₃×D₄	—	2	2	no	—
586	C₂×C₃×D₄	—	2	2	no	—
587	C₂×C₃×D₄	—	2	2	no	—
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	—	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	—	4	1	no	—
602	C₂×C₃×D₄	—	4	16	no	—
603	C₂×C₃×D₄	#41	1	4	yes	—
604	C₂²×C₃×C₄	—	2	2	no	—
605	C₂²×C₃×C₄	—	2	2	no	—
606	C₂²×C₃×C₄	—	2	2	no	—
607	C₂²×C₃×C₄	—	2	2	no	—
608	C₂²×C₃×C₄	—	2	2	no	—
609	C₂²×C₃×C₄	—	2	2	no	—
610	C₂²×C₃×C₄	—	2	2	no	—
611	C₂²×C₃×C₄	—	2	2	no	—
612	C₂²×C₃×C₄	—	2	2	no	—
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	—	4	1	no	—
619	C₂²×C₃×C₄	—	4	1	no	—
620	C₂²×C₃×C₄	—	4	1	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	#41	1	4	yes	—
640	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
641	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
642	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
643	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
644	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
645	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
646	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
647	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
648	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
649	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
650	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
651	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
652	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
653	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
654	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
655	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
656	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
657	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
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	C₃×C₄⋊C₄	—	2	2	no	—
666	C₃×C₄⋊C₄	—	2	2	no	—
667	C₃×C₄⋊C₄	—	2	2	no	—
668	C₃×C₄⋊C₄	—	2	2	no	—
669	C₃×C₄⋊C₄	—	2	2	no	—
670	C₃×C₄⋊C₄	—	2	2	no	—
671	C₃×C₄⋊C₄	—	2	2	no	—
672	C₃×C₄⋊C₄	—	2	2	no	—
673	C₃×C₄⋊C₄	—	2	2	no	—
674	C₃×C₄⋊C₄	—	4	1	no	—
675	C₃×C₄⋊C₄	—	4	1	no	—
676	C₃×C₄⋊C₄	—	4	1	no	—
677	C₃×C₄⋊C₄	—	4	1	no	—
678	C₃×C₄⋊C₄	—	4	1	no	—
679	C₃×C₄⋊C₄	—	4	1	no	—
680	C₃×C₄⋊C₄	—	4	1	no	—
681	C₃×C₄⋊C₄	—	4	1	no	—
682	C₃×C₄⋊C₄	—	4	1	no	—
683	C₃×C₄⋊C₄	—	4	1	no	—
684	C₃×C₄⋊C₄	—	4	1	no	—
685	C₃×C₄⋊C₄	—	4	1	no	—
686	C₃×C₄⋊C₄	—	4	1	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×C₂²⋊C₄	—	2	2	no	—
693	C₃×C₂²⋊C₄	—	2	2	no	—
694	C₃×C₂²⋊C₄	—	2	2	no	—
695	C₃×C₂²⋊C₄	—	2	2	no	—
696	C₃×C₂²⋊C₄	—	2	2	no	—
697	C₃×C₂²⋊C₄	—	2	2	no	—
698	C₃×C₂²⋊C₄	—	2	2	no	—
699	C₃×C₂²⋊C₄	—	2	2	no	—
700	C₃×C₂²⋊C₄	—	2	2	no	—
701	C₃×C₂²⋊C₄	—	2	2	no	—
702	C₃×C₂²⋊C₄	—	2	2	no	—
703	C₃×C₂²⋊C₄	—	2	2	no	—
704	C₃×C₂²⋊C₄	—	2	2	no	—
705	C₃×C₂²⋊C₄	—	2	2	no	—
706	C₃×C₂²⋊C₄	—	2	2	no	—
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	—	2	2	no	—
718	C₃×C₂²⋊C₄	—	2	2	no	—
719	C₃×C₂²⋊C₄	—	2	2	no	—
720	C₃×C₂²⋊C₄	—	2	2	no	—
721	C₃×C₂²⋊C₄	—	2	2	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	—	4	1	no	—
744	C₃×C₂²⋊C₄	—	4	1	no	—
745	C₃×C₂²⋊C₄	#41	1	4	yes	—
746	C₃×C₄²	—	2	2	no	—
747	C₃×C₄²	—	2	2	no	—
748	C₃×C₄²	—	2	2	no	—
749	C₃×C₄²	—	2	2	no	—
750	C₃×C₄²	—	4	1	no	—
751	C₃×C₄²	—	4	1	no	—
752	C₃×C₄²	—	4	1	no	—
753	C₃×C₄²	—	4	1	no	—
754	C₃×C₄²	—	4	1	no	—
755	C₃×C₄²	—	4	1	no	—
756	C₃×C₄²	—	4	1	no	—
757	C₃×C₄²	—	4	1	no	—
758	C₃×C₄²	—	4	1	no	—
759	C₂⁵	C₂³×C₃	1	1	yes	characteristic
760	C₂⁵	C₂³×C₃	1	1	yes	characteristic
761	C₂²×D₄	—	2	4	no	—
762	C₂²×D₄	—	4	2	no	—
763	C₂²×D₄	—	4	2	no	—
764	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
765	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
766	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
767	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
768	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
769	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
770	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
771	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
772	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
773	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
774	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
775	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
776	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
777	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
778	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
779	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
780	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
781	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
782	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
783	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
784	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
785	#126	—	4	2	no	—
786	#126	—	4	2	no	—
787	#123	—	4	2	no	—
788	#123	—	4	2	no	—
789	#121	—	4	2	no	—
790	#121	—	4	2	no	—
791	#120	—	2	4	no	—
792	#120	—	2	4	no	—
793	C₄×D₄	—	2	4	no	—
794	C₄×D₄	—	2	4	no	—
795	C₄×D₄	—	2	4	no	—
796	C₄×D₄	—	4	2	no	—
797	C₄×D₄	—	4	2	no	—
798	C₄×D₄	—	4	2	no	—
799	C₄×D₄	—	4	2	no	—
800	#117	—	4	2	no	—
801	#117	—	4	2	no	—
802	C₂×C₄⋊C₄	—	2	4	no	—
803	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
804	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
805	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
806	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
807	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
808	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
809	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
810	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
811	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
812	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
813	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
814	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
815	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
816	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
817	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
818	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
819	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
820	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
821	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
822	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
823	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
824	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
825	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
826	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
827	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
828	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
829	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
830	C₂×C₂²⋊C₄	—	2	4	no	—
831	C₂×C₂²⋊C₄	—	2	4	no	—
832	C₂×C₂²⋊C₄	—	4	2	no	—
833	C₂×C₂²⋊C₄	—	4	2	no	—
834	C₂×C₂²⋊C₄	—	4	2	no	—
835	C₂×C₂²⋊C₄	—	4	2	no	—
836	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
837	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
838	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
839	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
840	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
841	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
842	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
843	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
844	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
845	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
846	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
847	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
848	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
849	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
850	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
851	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
852	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
853	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
854	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
855	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
856	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
857	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
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×C₄²	C₂³×C₃	1	1	yes	characteristic
891	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
892	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
893	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
894	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
895	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
896	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
897	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
898	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
899	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
900	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
901	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
902	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
903	#95	C₂³×C₃	1	1	yes	characteristic
904	#95	C₂³×C₃	1	1	yes	characteristic
905	#95	C₂³×C₃	1	1	yes	characteristic
906	#95	C₂³×C₃	1	1	yes	characteristic
907	#95	C₂³×C₃	1	1	yes	characteristic
908	#95	C₂³×C₃	1	1	yes	characteristic
909	#95	C₂³×C₃	1	1	yes	characteristic
910	#95	C₂³×C₃	1	1	yes	characteristic
911	#95	C₂³×C₃	1	1	yes	characteristic
912	#95	C₂³×C₃	1	1	yes	characteristic
913	#95	C₂³×C₃	1	1	yes	characteristic
914	#95	C₂³×C₃	1	1	yes	characteristic
915	#95	C₂³×C₃	1	1	yes	characteristic
916	#95	C₂³×C₃	1	1	yes	characteristic
917	#95	C₂³×C₃	1	1	yes	characteristic
918	#95	C₂³×C₃	1	1	yes	characteristic
919	#95	C₂³×C₃	1	1	yes	characteristic
920	#95	C₂³×C₃	1	1	yes	characteristic
921	#95	C₂³×C₃	1	1	yes	characteristic
922	#95	C₂³×C₃	1	1	yes	characteristic
923	#95	C₂³×C₃	1	1	yes	characteristic
924	#95	C₂³×C₃	1	1	yes	characteristic
925	#95	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	C₂³×C₃	—	2	1	no	—
942	C₂³×C₃	—	2	1	no	—
943	C₂³×C₃	—	2	1	no	—
944	C₂³×C₃	—	2	1	no	—
945	C₂³×C₃	—	2	1	no	—
946	C₂³×C₃	—	2	1	no	—
947	C₂³×C₃	—	2	1	no	—
948	C₂³×C₃	—	2	1	no	—
949	C₂³×C₃	—	2	1	no	—
950	C₂³×C₃	—	2	1	no	—
951	C₂³×C₃	—	2	1	no	—
952	C₂³×C₃	—	2	1	no	—
953	C₂³×C₃	—	2	1	no	—
954	C₂³×C₃	—	2	1	no	—
955	C₂³×C₃	—	2	1	no	—
956	C₂³×C₃	—	2	1	no	—
957	C₂³×C₃	—	2	1	no	—
958	C₂³×C₃	—	2	1	no	—
959	C₂³×C₃	—	2	1	no	—
960	C₂³×C₃	—	2	1	no	—
961	C₂³×C₃	—	2	1	no	—
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	—	4	4	no	—
978	C₂³×C₃	—	4	4	no	—
979	C₂³×C₃	—	4	4	no	—
980	C₂³×C₃	—	4	4	no	—
981	C₂³×C₃	—	4	4	no	—
982	C₂³×C₃	—	4	4	no	—
983	C₂³×C₃	—	4	4	no	—
984	C₂³×C₃	—	4	4	no	—
985	C₂³×C₃	—	8	2	no	—
986	C₂³×C₃	—	8	2	no	—
987	C₂³×C₃	—	8	2	no	—
988	C₂³×C₃	—	8	2	no	—
989	C₂³×C₃	—	8	2	no	—
990	C₂³×C₃	—	8	2	no	—
991	C₂³×C₃	C₂×#41	1	2	yes	—
992	C₂³×C₃	C₂×#41	1	2	yes	—
993	C₂³×C₃	C₂×#41	1	2	yes	—
994	C₂³×C₃	C₂×#41	1	2	yes	—
995	C₂³×C₃	H(5,𝔽₂)	1	2	yes	—
996	C₂³×C₃	H(5,𝔽₂)	1	2	yes	—
997	C₂³×C₃	C₂⁵	1	1	yes	characteristic
998	C₃×D₄	—	2	8	no	—
999	C₃×D₄	—	2	8	no	—
1000	C₃×D₄	—	4	4	no	—
1001	C₃×D₄	—	4	4	no	—
1002	C₃×D₄	—	4	4	no	—
1003	C₃×D₄	—	4	4	no	—
1004	C₃×D₄	—	4	4	no	—
1005	C₃×D₄	—	8	2	no	—
1006	C₃×D₄	—	8	2	no	—
1007	C₂×C₃×C₄	—	2	1	no	—
1008	C₂×C₃×C₄	—	2	1	no	—
1009	C₂×C₃×C₄	—	2	1	no	—
1010	C₂×C₃×C₄	—	2	1	no	—
1011	C₂×C₃×C₄	—	2	1	no	—
1012	C₂×C₃×C₄	—	2	1	no	—
1013	C₂×C₃×C₄	—	2	1	no	—
1014	C₂×C₃×C₄	—	2	1	no	—
1015	C₂×C₃×C₄	—	2	1	no	—
1016	C₂×C₃×C₄	—	2	1	no	—
1017	C₂×C₃×C₄	—	2	1	no	—
1018	C₂×C₃×C₄	—	2	1	no	—
1019	C₂×C₃×C₄	—	2	1	no	—
1020	C₂×C₃×C₄	—	2	1	no	—
1021	C₂×C₃×C₄	—	2	1	no	—
1022	C₂×C₃×C₄	—	2	1	no	—
1023	C₂×C₃×C₄	—	2	1	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	—	4	4	no	—
1077	C₂×C₃×C₄	—	4	4	no	—
1078	C₂×C₃×C₄	—	4	4	no	—
1079	C₂×C₃×C₄	—	4	4	no	—
1080	C₂×C₃×C₄	—	8	2	no	—
1081	C₂×C₃×C₄	—	8	2	no	—
1082	C₂×C₃×C₄	—	8	2	no	—
1083	C₂×C₃×C₄	—	8	2	no	—
1084	C₂×C₃×C₄	—	8	2	no	—
1085	C₂×C₃×C₄	—	8	2	no	—
1086	C₂×C₃×C₄	—	8	2	no	—
1087	C₂×C₃×C₄	—	8	2	no	—
1088	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1089	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1090	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1091	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1092	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1093	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1094	C₂⁴	—	2	2	no	—
1095	C₂⁴	—	2	2	no	—
1096	C₂⁴	—	2	2	no	—
1097	C₂⁴	—	2	2	no	—
1098	C₂⁴	—	2	2	no	—
1099	C₂⁴	—	2	2	no	—
1100	C₂⁴	—	2	2	no	—
1101	C₂⁴	—	2	2	no	—
1102	C₂⁴	—	4	1	no	—
1103	C₂⁴	—	4	1	no	—
1104	C₂⁴	—	4	1	no	—
1105	C₂⁴	—	4	1	no	—
1106	C₂⁴	—	4	1	no	—
1107	C₂⁴	—	4	1	no	—
1108	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1109	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1110	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1111	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1112	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1113	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1114	C₂×D₄	—	2	2	no	—
1115	C₂×D₄	—	2	2	no	—
1116	C₂×D₄	—	2	2	no	—
1117	C₂×D₄	—	2	2	no	—
1118	C₂×D₄	—	2	2	no	—
1119	C₂×D₄	—	2	2	no	—
1120	C₂×D₄	—	2	2	no	—
1121	C₂×D₄	—	2	2	no	—
1122	C₂×D₄	—	2	2	no	—
1123	C₂×D₄	—	2	2	no	—
1124	C₂×D₄	—	2	2	no	—
1125	C₂×D₄	—	2	2	no	—
1126	C₂×D₄	—	2	2	no	—
1127	C₂×D₄	—	2	2	no	—
1128	C₂×D₄	—	2	2	no	—
1129	C₂×D₄	—	2	2	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	16	no	—
1141	C₂×D₄	C₃×#41	1	4	yes	—
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	2	2	no	—
1144	C₂²×C₄	—	2	2	no	—
1145	C₂²×C₄	—	2	2	no	—
1146	C₂²×C₄	—	2	2	no	—
1147	C₂²×C₄	—	2	2	no	—
1148	C₂²×C₄	—	2	2	no	—
1149	C₂²×C₄	—	2	2	no	—
1150	C₂²×C₄	—	2	2	no	—
1151	C₂²×C₄	—	2	2	no	—
1152	C₂²×C₄	—	2	2	no	—
1153	C₂²×C₄	—	2	2	no	—
1154	C₂²×C₄	—	2	2	no	—
1155	C₂²×C₄	—	2	2	no	—
1156	C₂²×C₄	—	4	1	no	—
1157	C₂²×C₄	—	4	1	no	—
1158	C₂²×C₄	—	4	1	no	—
1159	C₂²×C₄	—	4	1	no	—
1160	C₂²×C₄	—	4	1	no	—
1161	C₂²×C₄	—	4	1	no	—
1162	C₂²×C₄	—	4	1	no	—
1163	C₂²×C₄	—	4	1	no	—
1164	C₂²×C₄	—	4	1	no	—
1165	C₂²×C₄	—	4	1	no	—
1166	C₂²×C₄	—	4	1	no	—
1167	C₂²×C₄	—	4	1	no	—
1168	C₂²×C₄	—	4	1	no	—
1169	C₂²×C₄	—	4	1	no	—
1170	C₂²×C₄	—	4	1	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	C₃×#41	1	4	yes	—
1178	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1179	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1180	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1181	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1182	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1183	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1184	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1185	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1186	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1187	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1188	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1189	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1190	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1191	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1194	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1195	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1196	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1200	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1201	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1202	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1203	C₄⋊C₄	—	2	2	no	—
1204	C₄⋊C₄	—	2	2	no	—
1205	C₄⋊C₄	—	2	2	no	—
1206	C₄⋊C₄	—	2	2	no	—
1207	C₄⋊C₄	—	2	2	no	—
1208	C₄⋊C₄	—	2	2	no	—
1209	C₄⋊C₄	—	2	2	no	—
1210	C₄⋊C₄	—	2	2	no	—
1211	C₄⋊C₄	—	2	2	no	—
1212	C₄⋊C₄	—	4	1	no	—
1213	C₄⋊C₄	—	4	1	no	—
1214	C₄⋊C₄	—	4	1	no	—
1215	C₄⋊C₄	—	4	1	no	—
1216	C₄⋊C₄	—	4	1	no	—
1217	C₄⋊C₄	—	4	1	no	—
1218	C₄⋊C₄	—	4	1	no	—
1219	C₄⋊C₄	—	4	1	no	—
1220	C₄⋊C₄	—	4	1	no	—
1221	C₄⋊C₄	—	4	1	no	—
1222	C₄⋊C₄	—	4	1	no	—
1223	C₄⋊C₄	—	4	1	no	—
1224	C₄⋊C₄	—	4	1	no	—
1225	C₄⋊C₄	—	4	1	no	—
1226	C₄⋊C₄	—	4	1	no	—
1227	C₄⋊C₄	—	4	1	no	—
1228	C₄⋊C₄	—	4	1	no	—
1229	C₄⋊C₄	—	4	1	no	—
1230	C₂²⋊C₄	—	2	2	no	—
1231	C₂²⋊C₄	—	2	2	no	—
1232	C₂²⋊C₄	—	2	2	no	—
1233	C₂²⋊C₄	—	2	2	no	—
1234	C₂²⋊C₄	—	2	2	no	—
1235	C₂²⋊C₄	—	2	2	no	—
1236	C₂²⋊C₄	—	2	2	no	—
1237	C₂²⋊C₄	—	2	2	no	—
1238	C₂²⋊C₄	—	2	2	no	—
1239	C₂²⋊C₄	—	2	2	no	—
1240	C₂²⋊C₄	—	2	2	no	—
1241	C₂²⋊C₄	—	2	2	no	—
1242	C₂²⋊C₄	—	2	2	no	—
1243	C₂²⋊C₄	—	2	2	no	—
1244	C₂²⋊C₄	—	2	2	no	—
1245	C₂²⋊C₄	—	2	2	no	—
1246	C₂²⋊C₄	—	2	2	no	—
1247	C₂²⋊C₄	—	2	2	no	—
1248	C₂²⋊C₄	—	2	2	no	—
1249	C₂²⋊C₄	—	2	2	no	—
1250	C₂²⋊C₄	—	2	2	no	—
1251	C₂²⋊C₄	—	2	2	no	—
1252	C₂²⋊C₄	—	2	2	no	—
1253	C₂²⋊C₄	—	2	2	no	—
1254	C₂²⋊C₄	—	2	2	no	—
1255	C₂²⋊C₄	—	2	2	no	—
1256	C₂²⋊C₄	—	2	2	no	—
1257	C₂²⋊C₄	—	2	2	no	—
1258	C₂²⋊C₄	—	2	2	no	—
1259	C₂²⋊C₄	—	2	2	no	—
1260	C₂²⋊C₄	—	4	1	no	—
1261	C₂²⋊C₄	—	4	1	no	—
1262	C₂²⋊C₄	—	4	1	no	—
1263	C₂²⋊C₄	—	4	1	no	—
1264	C₂²⋊C₄	—	4	1	no	—
1265	C₂²⋊C₄	—	4	1	no	—
1266	C₂²⋊C₄	—	4	1	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	C₃×#41	1	4	yes	—
1284	C₄²	—	2	2	no	—
1285	C₄²	—	2	2	no	—
1286	C₄²	—	2	2	no	—
1287	C₄²	—	2	2	no	—
1288	C₄²	—	4	1	no	—
1289	C₄²	—	4	1	no	—
1290	C₄²	—	4	1	no	—
1291	C₄²	—	4	1	no	—
1292	C₄²	—	4	1	no	—
1293	C₄²	—	4	1	no	—
1294	C₄²	—	4	1	no	—
1295	C₄²	—	4	1	no	—
1296	C₄²	—	4	1	no	—
1297	C₂²×C₃	—	2	2	no	—
1298	C₂²×C₃	—	2	2	no	—
1299	C₂²×C₃	—	2	2	no	—
1300	C₂²×C₃	—	2	2	no	—
1301	C₂²×C₃	—	2	2	no	—
1302	C₂²×C₃	—	2	2	no	—
1303	C₂²×C₃	—	2	2	no	—
1304	C₂²×C₃	—	2	2	no	—
1305	C₂²×C₃	—	2	2	no	—
1306	C₂²×C₃	—	2	2	no	—
1307	C₂²×C₃	—	2	2	no	—
1308	C₂²×C₃	—	2	2	no	—
1309	C₂²×C₃	—	2	2	no	—
1310	C₂²×C₃	—	2	2	no	—
1311	C₂²×C₃	—	2	2	no	—
1312	C₂²×C₃	—	4	1	no	—
1313	C₂²×C₃	—	4	1	no	—
1314	C₂²×C₃	—	4	1	no	—
1315	C₂²×C₃	—	4	1	no	—
1316	C₂²×C₃	—	4	1	no	—
1317	C₂²×C₃	—	4	1	no	—
1318	C₂²×C₃	—	4	1	no	—
1319	C₂²×C₃	—	4	1	no	—
1320	C₂²×C₃	—	4	1	no	—
1321	C₂²×C₃	—	4	1	no	—
1322	C₂²×C₃	—	4	1	no	—
1323	C₂²×C₃	—	4	1	no	—
1324	C₂²×C₃	—	4	1	no	—
1325	C₂²×C₃	—	4	1	no	—
1326	C₂²×C₃	—	4	1	no	—
1327	C₂²×C₃	—	4	1	no	—
1328	C₂²×C₃	—	4	1	no	—
1329	C₂²×C₃	—	4	1	no	—
1330	C₂²×C₃	—	4	1	no	—
1331	C₂²×C₃	—	4	1	no	—
1332	C₂²×C₃	—	4	1	no	—
1333	C₂²×C₃	—	4	1	no	—
1334	C₂²×C₃	—	4	1	no	—
1335	C₂²×C₃	—	4	1	no	—
1336	C₂²×C₃	—	4	1	no	—
1337	C₂²×C₃	—	4	1	no	—
1338	C₂²×C₃	—	8	8	no	—
1339	C₂²×C₃	—	8	8	no	—
1340	C₂²×C₃	#529	1	4	yes	—
1341	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1342	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1343	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1344	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1345	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1346	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1347	C₂²×C₃	#585	1	1	yes	characteristic
1348	C₃×C₄	—	2	2	no	—
1349	C₃×C₄	—	2	2	no	—
1350	C₃×C₄	—	2	2	no	—
1351	C₃×C₄	—	2	2	no	—
1352	C₃×C₄	—	2	2	no	—
1353	C₃×C₄	—	2	2	no	—
1354	C₃×C₄	—	4	1	no	—
1355	C₃×C₄	—	4	1	no	—
1356	C₃×C₄	—	4	1	no	—
1357	C₃×C₄	—	4	1	no	—
1358	C₃×C₄	—	4	1	no	—
1359	C₃×C₄	—	4	1	no	—
1360	C₃×C₄	—	4	1	no	—
1361	C₃×C₄	—	4	1	no	—
1362	C₃×C₄	—	4	1	no	—
1363	C₃×C₄	—	4	1	no	—
1364	C₃×C₄	—	4	1	no	—
1365	C₃×C₄	—	4	1	no	—
1366	C₃×C₄	—	4	1	no	—
1367	C₃×C₄	—	4	1	no	—
1368	C₃×C₄	—	4	1	no	—
1369	C₃×C₄	—	4	1	no	—
1370	C₃×C₄	—	4	1	no	—
1371	C₃×C₄	—	4	1	no	—
1372	C₃×C₄	—	4	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	2	1	no	—
1378	C₂³	—	2	1	no	—
1379	C₂³	—	2	1	no	—
1380	C₂³	—	2	1	no	—
1381	C₂³	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	1	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	1	no	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	2	1	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	1	no	—
1396	C₂³	—	2	1	no	—
1397	C₂³	—	2	1	no	—
1398	C₂³	—	2	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	—	4	4	no	—
1410	C₂³	—	4	4	no	—
1411	C₂³	—	4	4	no	—
1412	C₂³	—	4	4	no	—
1413	C₂³	—	4	4	no	—
1414	C₂³	—	4	4	no	—
1415	C₂³	—	4	4	no	—
1416	C₂³	—	4	4	no	—
1417	C₂³	—	8	2	no	—
1418	C₂³	—	8	2	no	—
1419	C₂³	—	8	2	no	—
1420	C₂³	—	8	2	no	—
1421	C₂³	—	8	2	no	—
1422	C₂³	—	8	2	no	—
1423	C₂³	C₂×C₃×#41	1	2	yes	—
1424	C₂³	C₂×C₃×#41	1	2	yes	—
1425	C₂³	C₂×C₃×#41	1	2	yes	—
1426	C₂³	C₂×C₃×#41	1	2	yes	—
1427	C₂³	C₃×H(5,𝔽₂)	1	2	yes	—
1428	C₂³	C₃×H(5,𝔽₂)	1	2	yes	—
1429	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1430	D₄	—	2	8	no	—
1431	D₄	—	2	8	no	—
1432	D₄	—	4	4	no	—
1433	D₄	—	4	4	no	—
1434	D₄	—	4	4	no	—
1435	D₄	—	4	4	no	—
1436	D₄	—	4	4	no	—
1437	D₄	—	8	2	no	—
1438	D₄	—	8	2	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	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	—	4	4	no	—
1509	C₂×C₄	—	4	4	no	—
1510	C₂×C₄	—	4	4	no	—
1511	C₂×C₄	—	4	4	no	—
1512	C₂×C₄	—	8	2	no	—
1513	C₂×C₄	—	8	2	no	—
1514	C₂×C₄	—	8	2	no	—
1515	C₂×C₄	—	8	2	no	—
1516	C₂×C₄	—	8	2	no	—
1517	C₂×C₄	—	8	2	no	—
1518	C₂×C₄	—	8	2	no	—
1519	C₂×C₄	—	8	2	no	—
1520	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1521	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1522	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1523	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1524	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1525	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1526	C₂×C₃	—	2	4	no	—
1527	C₂×C₃	—	4	2	no	—
1528	C₂×C₃	—	4	2	no	—
1529	C₂×C₃	—	4	2	no	—
1530	C₂×C₃	—	8	1	no	—
1531	C₂×C₃	—	8	1	no	—
1532	C₂×C₃	C₂×#529	1	1	yes	characteristic
1533	C₂×C₃	#3490	1	1	yes	characteristic
1534	C₂×C₃	#3494	1	1	yes	characteristic
1535	C₂×C₃	#3513	1	1	yes	characteristic
1536	C₂×C₃	#3513	1	1	yes	characteristic
1537	C₂×C₃	#3519	1	1	yes	characteristic
1538	C₂×C₃	#3519	1	1	yes	characteristic
1539	C₂²	—	2	2	no	—
1540	C₂²	—	2	2	no	—
1541	C₂²	—	2	2	no	—
1542	C₂²	—	2	2	no	—
1543	C₂²	—	2	2	no	—
1544	C₂²	—	2	2	no	—
1545	C₂²	—	2	2	no	—
1546	C₂²	—	2	2	no	—
1547	C₂²	—	2	2	no	—
1548	C₂²	—	2	2	no	—
1549	C₂²	—	2	2	no	—
1550	C₂²	—	2	2	no	—
1551	C₂²	—	2	2	no	—
1552	C₂²	—	2	2	no	—
1553	C₂²	—	2	2	no	—
1554	C₂²	—	4	1	no	—
1555	C₂²	—	4	1	no	—
1556	C₂²	—	4	1	no	—
1557	C₂²	—	4	1	no	—
1558	C₂²	—	4	1	no	—
1559	C₂²	—	4	1	no	—
1560	C₂²	—	4	1	no	—
1561	C₂²	—	4	1	no	—
1562	C₂²	—	4	1	no	—
1563	C₂²	—	4	1	no	—
1564	C₂²	—	4	1	no	—
1565	C₂²	—	4	1	no	—
1566	C₂²	—	4	1	no	—
1567	C₂²	—	4	1	no	—
1568	C₂²	—	4	1	no	—
1569	C₂²	—	4	1	no	—
1570	C₂²	—	4	1	no	—
1571	C₂²	—	4	1	no	—
1572	C₂²	—	4	1	no	—
1573	C₂²	—	4	1	no	—
1574	C₂²	—	4	1	no	—
1575	C₂²	—	4	1	no	—
1576	C₂²	—	4	1	no	—
1577	C₂²	—	4	1	no	—
1578	C₂²	—	4	1	no	—
1579	C₂²	—	4	1	no	—
1580	C₂²	—	8	8	no	—
1581	C₂²	—	8	8	no	—
1582	C₂²	C₃×#529	1	4	yes	—
1583	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1584	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1585	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1586	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1587	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1588	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1589	C₂²	C₃×#585	1	1	yes	characteristic
1590	C₄	—	2	2	no	—
1591	C₄	—	2	2	no	—
1592	C₄	—	2	2	no	—
1593	C₄	—	2	2	no	—
1594	C₄	—	2	2	no	—
1595	C₄	—	2	2	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	1	no	—
1598	C₄	—	4	1	no	—
1599	C₄	—	4	1	no	—
1600	C₄	—	4	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	—	4	1	no	—
1608	C₄	—	4	1	no	—
1609	C₄	—	4	1	no	—
1610	C₄	—	4	1	no	—
1611	C₄	—	4	1	no	—
1612	C₄	—	4	1	no	—
1613	C₄	—	4	1	no	—
1614	C₄	—	4	1	no	—
1615	C₃	#35904	1	1	yes	characteristic, direct product factor, Sylow
1616	C₂	—	2	4	no	—
1617	C₂	—	4	2	no	—
1618	C₂	—	4	2	no	—
1619	C₂	—	4	2	no	—
1620	C₂	—	8	1	no	—
1621	C₂	—	8	1	no	—
1622	C₂	C₂×C₃×#529	1	1	yes	characteristic
1623	C₂	C₃×#3490	1	1	yes	characteristic
1624	C₂	C₃×#3494	1	1	yes	characteristic
1625	C₂	C₃×#3513	1	1	yes	characteristic
1626	C₂	C₃×#3513	1	1	yes	characteristic
1627	C₂	C₃×#3519	1	1	yes	characteristic
1628	C₂	C₃×#3519	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₃×#2408	C₂
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. C₃×#2651	C₂	semidirect
2. C₃×#2648	C₂	semidirect
3. C₃×#2646	C₂	semidirect
4. C₃×#2597	C₂	semidirect
5. C₃×#2593	C₂	semidirect
6. C₃×#2579	C₂	semidirect
7. C₃×#2559	C₂	semidirect
8. C₃×#2554	C₂	semidirect
9. C₃×#2531	C₂	semidirect
10. C₃×#2526	C₂	semidirect
11. C₃×#2480	C₂	semidirect
12. C₃×#2480	C₂	semidirect
13. C₃×#2479	C₂	semidirect
14. C₃×#2476	C₂	semidirect
15. C₃×#2468	C₂	semidirect
16. C₃×#2457	C₂	semidirect
17. C₃×#2444	C₂	semidirect
18. C₃×#2425	C₂	semidirect
19. C₃×#2418	C₂	semidirect
20. C₃×#2418	C₂	semidirect
22. C₃×#2395	C₂	semidirect
23. C₃×#2392	C₂	semidirect
24. C₂×C₃×#394	C₂	semidirect
25. C₃×#2358	C₂	semidirect
26. C₃×#2358	C₂	semidirect
27. C₃×#2345	C₂	semidirect
28. C₃×#2342	C₂	semidirect
29. C₃×#2342	C₂	semidirect
30. C₃×D₄×C₂²⋊C₄	C₂	semidirect
31. C₃×#2275	C₂	semidirect
32. #35904	C₃	direct (N × H)
34. C₂×C₃×#126	C₂²	semidirect
35. C₂×C₃×#126	C₂²	semidirect
36. C₂×C₃×#123	C₂²	semidirect
37. C₂×C₃×#123	C₂²	semidirect
47. C₂×C₃×C₄×D₄	C₂²	semidirect
48. C₂×C₃×C₄×D₄	C₂²	semidirect
49. C₂×C₃×#117	C₂²	semidirect
50. C₂×C₃×#117	C₂²	semidirect
58. C₃×#400	C₂²	semidirect
59. C₃×#400	C₂²	semidirect
60. C₃×#400	C₂²	semidirect
61. C₃×#400	C₂²	semidirect
62. C₃×#399	C₂²	semidirect
63. C₃×#399	C₂²	semidirect
64. C₃×#398	C₂²	semidirect
65. C₃×#398	C₂²	semidirect
66. C₃×#398	C₂²	semidirect
67. C₃×#398	C₂²	semidirect
68. C₃×#398	C₂²	semidirect
69. C₃×#398	C₂²	semidirect
70. C₃×#397	C₂²	semidirect
71. C₃×#397	C₂²	semidirect
72. C₃×#397	C₂²	semidirect
73. C₃×#397	C₂²	semidirect
74. C₃×#397	C₂²	semidirect
75. C₃×#397	C₂²	semidirect
76. C₃×#397	C₂²	semidirect
77. C₃×#397	C₂²	semidirect
78. C₃×#396	C₂²	semidirect
79. C₃×#396	C₂²	semidirect
80. C₃×#396	C₂²	semidirect
81. C₃×#396	C₂²	semidirect
92. C₃×#394	C₂²	semidirect
93. C₃×#394	C₂²	semidirect
94. C₃×#394	C₂²	semidirect
95. C₃×#394	C₂²	semidirect
102. C₃×#390	C₂²	semidirect
103. C₃×#390	C₂²	semidirect
104. C₃×#389	C₂²	semidirect
105. C₃×#389	C₂²	semidirect
106. C₃×#388	C₂²	semidirect
107. C₃×#388	C₂²	semidirect
108. C₃×#388	C₂²	semidirect
109. C₃×#388	C₂²	semidirect
110. C₃×#388	C₂²	semidirect
111. C₃×#388	C₂²	semidirect
112. C₃×#388	C₂²	semidirect
113. C₃×#388	C₂²	semidirect
114. C₃×#388	C₂²	semidirect
115. C₃×#388	C₂²	semidirect
116. C₃×#388	C₂²	semidirect
117. C₃×#388	C₂²	semidirect
118. C₃×#388	C₂²	semidirect
119. C₃×#388	C₂²	semidirect
120. C₃×#388	C₂²	semidirect
121. C₃×#388	C₂²	semidirect
122. C₃×#388	C₂²	semidirect
123. C₃×#388	C₂²	semidirect
124. C₃×#388	C₂²	semidirect
125. C₃×#388	C₂²	semidirect
126. C₃×#388	C₂²	semidirect
127. C₃×#388	C₂²	semidirect
128. C₃×#387	C₂²	semidirect
129. C₃×#387	C₂²	semidirect
130. C₃×#387	C₂²	semidirect
131. C₃×#387	C₂²	semidirect
132. C₃×#387	C₂²	semidirect
133. C₃×#387	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
145. C₃×#386	C₂²	semidirect
152. C₃×#385	C₂²	semidirect
153. C₃×#385	C₂²	semidirect
154. C₃×#385	C₂²	semidirect
155. C₃×#385	C₂²	semidirect
156. C₃×#381	C₂²	semidirect
157. C₃×#381	C₂²	semidirect
162. C₃×#380	C₂²	semidirect
163. C₃×#380	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
172. C₃×C₄×C₄⋊C₄	C₂²	semidirect
178. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
179. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
180. C₃×C₄×C₂²⋊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×#376	C₂²	semidirect
187. C₂×C₃×#95	C₂²	semidirect
188. #2651	C₂×C₃	semidirect
189. #2648	C₂×C₃	semidirect
190. #2646	C₂×C₃	semidirect
191. #2597	C₂×C₃	semidirect
192. #2593	C₂×C₃	semidirect
193. #2579	C₂×C₃	semidirect
194. #2559	C₂×C₃	semidirect
195. #2554	C₂×C₃	semidirect
196. #2531	C₂×C₃	semidirect
197. #2526	C₂×C₃	semidirect
198. #2480	C₂×C₃	semidirect
199. #2480	C₂×C₃	semidirect
200. #2479	C₂×C₃	semidirect
201. #2476	C₂×C₃	semidirect
202. #2468	C₂×C₃	semidirect
203. #2457	C₂×C₃	semidirect
204. #2444	C₂×C₃	semidirect
205. #2425	C₂×C₃	semidirect
206. #2418	C₂×C₃	semidirect
207. #2418	C₂×C₃	semidirect
209. #2395	C₂×C₃	semidirect
210. #2392	C₂×C₃	semidirect
211. C₂×#394	C₂×C₃	semidirect
212. #2358	C₂×C₃	semidirect
213. #2358	C₂×C₃	semidirect
214. #2345	C₂×C₃	semidirect
215. #2342	C₂×C₃	semidirect
216. #2342	C₂×C₃	semidirect
217. D₄×C₂²⋊C₄	C₂×C₃	semidirect
218. #2275	C₂×C₃	semidirect
402. C₂×#126	C₂²×C₃	semidirect
403. C₂×#126	C₂²×C₃	semidirect
404. C₂×#123	C₂²×C₃	semidirect
405. C₂×#123	C₂²×C₃	semidirect
415. C₂×C₄×D₄	C₂²×C₃	semidirect
416. C₂×C₄×D₄	C₂²×C₃	semidirect
417. C₂×#117	C₂²×C₃	semidirect
418. C₂×#117	C₂²×C₃	semidirect
426. #400	C₂²×C₃	semidirect
427. #400	C₂²×C₃	semidirect
428. #400	C₂²×C₃	semidirect
429. #400	C₂²×C₃	semidirect
430. #399	C₂²×C₃	semidirect
431. #399	C₂²×C₃	semidirect
432. #398	C₂²×C₃	semidirect
433. #398	C₂²×C₃	semidirect
434. #398	C₂²×C₃	semidirect
435. #398	C₂²×C₃	semidirect
436. #398	C₂²×C₃	semidirect
437. #398	C₂²×C₃	semidirect
438. #397	C₂²×C₃	semidirect
439. #397	C₂²×C₃	semidirect
440. #397	C₂²×C₃	semidirect
441. #397	C₂²×C₃	semidirect
442. #397	C₂²×C₃	semidirect
443. #397	C₂²×C₃	semidirect
444. #397	C₂²×C₃	semidirect
445. #397	C₂²×C₃	semidirect
446. #396	C₂²×C₃	semidirect
447. #396	C₂²×C₃	semidirect
448. #396	C₂²×C₃	semidirect
449. #396	C₂²×C₃	semidirect
460. #394	C₂²×C₃	semidirect
461. #394	C₂²×C₃	semidirect
462. #394	C₂²×C₃	semidirect
463. #394	C₂²×C₃	semidirect
470. #390	C₂²×C₃	semidirect
471. #390	C₂²×C₃	semidirect
472. #389	C₂²×C₃	semidirect
473. #389	C₂²×C₃	semidirect
474. #388	C₂²×C₃	semidirect
475. #388	C₂²×C₃	semidirect
476. #388	C₂²×C₃	semidirect
477. #388	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. #388	C₂²×C₃	semidirect
485. #388	C₂²×C₃	semidirect
486. #388	C₂²×C₃	semidirect
487. #388	C₂²×C₃	semidirect
488. #388	C₂²×C₃	semidirect
489. #388	C₂²×C₃	semidirect
490. #388	C₂²×C₃	semidirect
491. #388	C₂²×C₃	semidirect
492. #388	C₂²×C₃	semidirect
493. #388	C₂²×C₃	semidirect
494. #388	C₂²×C₃	semidirect
495. #388	C₂²×C₃	semidirect
496. #387	C₂²×C₃	semidirect
497. #387	C₂²×C₃	semidirect
498. #387	C₂²×C₃	semidirect
499. #387	C₂²×C₃	semidirect
500. #387	C₂²×C₃	semidirect
501. #387	C₂²×C₃	semidirect
508. #386	C₂²×C₃	semidirect
509. #386	C₂²×C₃	semidirect
510. #386	C₂²×C₃	semidirect
511. #386	C₂²×C₃	semidirect
512. #386	C₂²×C₃	semidirect
513. #386	C₂²×C₃	semidirect
520. #385	C₂²×C₃	semidirect
521. #385	C₂²×C₃	semidirect
522. #385	C₂²×C₃	semidirect
523. #385	C₂²×C₃	semidirect
524. #381	C₂²×C₃	semidirect
525. #381	C₂²×C₃	semidirect
530. #380	C₂²×C₃	semidirect
531. #380	C₂²×C₃	semidirect
536. C₄×C₄⋊C₄	C₂²×C₃	semidirect
537. C₄×C₄⋊C₄	C₂²×C₃	semidirect
538. C₄×C₄⋊C₄	C₂²×C₃	semidirect
539. C₄×C₄⋊C₄	C₂²×C₃	semidirect
540. C₄×C₄⋊C₄	C₂²×C₃	semidirect
546. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
547. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
548. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
549. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
550. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
551. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
552. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
553. #376	C₂²×C₃	semidirect
555. C₂×#95	C₂²×C₃	semidirect
1615. C₃	#35904	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×#2651	2
C₃×#2648	2
C₃×#2646	2
C₃×#2597	2
C₃×#2593	2
C₃×#2579	2
C₃×#2559	2
C₃×#2554	2
C₃×#2531	2
C₃×#2526	2
C₃×#2480	2
C₃×#2479	2
C₃×#2476	2
C₃×#2468	2
C₃×#2457	2
C₃×#2444	2
C₃×#2425	2
C₃×#2418	2
C₃×#2408	2
C₃×#2395	2
C₃×#2392	2
C₂×C₃×#394	2
C₃×#2358	2
C₃×#2345	2
C₃×#2342	2
C₃×D₄×C₂²⋊C₄	2
C₃×#2275	2
#35904	3

Subgroups — C3×#35904 #10654511

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#35904 #10654511