Subgroups — C₃×#40568 #10659175

Order 768.

1566 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2827	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#2826	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2800	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2800	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2795	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2793	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2783	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2739	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2719	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2711	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2649	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2648	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2648	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2635	C₂	1	1	yes	maximal, characteristic
15	C₃×#2630	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2602	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2575	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2573	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2533	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2531	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2518	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2517	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2515	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#2460	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#2460	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2441	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#2420	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2392	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#2359	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#2353	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#2318	C₂	1	1	yes	maximal, characteristic, complemented
32	#40568	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₂×C₃×#125	C₂²	1	1	yes	characteristic
34	C₂×C₃×#125	C₂²	1	1	yes	characteristic
35	C₂×C₃×#123	C₂²	1	1	yes	characteristic
36	C₂×C₃×#121	C₂²	1	1	yes	characteristic
37	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
38	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
39	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
40	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
41	C₂×C₃×#117	C₂²	1	1	yes	characteristic
42	C₃×#400	C₂²	1	1	yes	characteristic
43	C₃×#400	C₂²	1	1	yes	characteristic
44	C₃×#400	C₂²	1	1	yes	characteristic
45	C₃×#400	C₂²	1	1	yes	characteristic
46	C₃×#400	C₂²	1	1	yes	characteristic
47	C₃×#400	C₂²	1	1	yes	characteristic
48	C₃×#400	C₂²	1	1	yes	characteristic
49	C₃×#400	C₂²	1	1	yes	characteristic
50	C₃×#400	C₂²	1	1	yes	characteristic
51	C₃×#399	C₂²	1	1	yes	characteristic
52	C₃×#399	C₂²	1	1	yes	characteristic
53	C₃×#399	C₂²	1	1	yes	characteristic
54	C₃×#398	C₂²	1	1	yes	characteristic
55	C₃×#398	C₂²	1	1	yes	characteristic
56	C₃×#398	C₂²	1	1	yes	characteristic
57	C₃×#398	C₂²	1	1	yes	characteristic
58	C₃×#397	C₂²	1	1	yes	characteristic
59	C₃×#397	C₂²	1	1	yes	characteristic
60	C₃×#397	C₂²	1	1	yes	characteristic
61	C₃×#397	C₂²	1	1	yes	characteristic
62	C₃×#397	C₂²	1	1	yes	characteristic
63	C₃×#397	C₂²	1	1	yes	characteristic
64	C₃×#397	C₂²	1	1	yes	characteristic
65	C₃×#397	C₂²	1	1	yes	characteristic
66	C₃×#397	C₂²	1	1	yes	characteristic
67	C₃×#397	C₂²	1	1	yes	characteristic
68	C₃×#397	C₂²	1	1	yes	characteristic
69	C₃×#397	C₂²	1	1	yes	characteristic
70	C₃×#396	C₂²	1	1	yes	characteristic
71	C₃×#396	C₂²	1	1	yes	characteristic
72	C₃×#396	C₂²	1	1	yes	characteristic
73	C₃×#396	C₂²	1	1	yes	characteristic
74	C₃×#396	C₂²	1	1	yes	characteristic
75	C₃×#396	C₂²	1	1	yes	characteristic
76	C₃×#396	C₂²	1	1	yes	characteristic
77	C₃×#396	C₂²	1	1	yes	characteristic
78	C₃×#396	C₂²	1	1	yes	characteristic
79	C₃×#396	C₂²	1	1	yes	characteristic
80	C₃×#394	C₂²	1	1	yes	characteristic
81	C₃×#394	C₂²	1	1	yes	characteristic
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
93	C₃×#394	C₂²	1	1	yes	characteristic
94	C₃×#394	C₂²	1	1	yes	characteristic
95	C₃×#392	C₂²	1	1	yes	characteristic
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×#389	C₂²	1	1	yes	characteristic
102	C₃×#389	C₂²	1	1	yes	characteristic
103	C₃×#389	C₂²	1	1	yes	characteristic
104	C₃×#389	C₂²	1	1	yes	characteristic
105	C₃×#389	C₂²	1	1	yes	characteristic
106	C₃×#389	C₂²	1	1	yes	characteristic
107	C₃×#389	C₂²	1	1	yes	characteristic
108	C₃×#388	C₂²	1	1	yes	characteristic
109	C₃×#388	C₂²	1	1	yes	characteristic
110	C₃×#388	C₂²	1	1	yes	characteristic
111	C₃×#388	C₂²	1	1	yes	characteristic
112	C₃×#388	C₂²	1	1	yes	characteristic
113	C₃×#388	C₂²	1	1	yes	characteristic
114	C₃×#388	C₂²	1	1	yes	characteristic
115	C₃×#388	C₂²	1	1	yes	characteristic
116	C₃×#388	C₂²	1	1	yes	characteristic
117	C₃×#388	C₂²	1	1	yes	characteristic
118	C₃×#388	C₂²	1	1	yes	characteristic
119	C₃×#388	C₂²	1	1	yes	characteristic
120	C₃×#388	C₂²	1	1	yes	characteristic
121	C₃×#388	C₂²	1	1	yes	characteristic
122	C₃×#388	C₂²	1	1	yes	characteristic
123	C₃×#388	C₂²	1	1	yes	characteristic
124	C₃×#388	C₂²	1	1	yes	characteristic
125	C₃×#388	C₂²	1	1	yes	characteristic
126	C₃×#388	C₂²	1	1	yes	characteristic
127	C₃×#388	C₂²	1	1	yes	characteristic
128	C₃×#387	C₂²	1	1	yes	characteristic
129	C₃×#387	C₂²	1	1	yes	characteristic
130	C₃×#387	C₂²	1	1	yes	characteristic
131	C₃×#387	C₂²	1	1	yes	characteristic
132	C₃×#387	C₂²	1	1	yes	characteristic
133	C₃×#387	C₂²	1	1	yes	characteristic
134	C₃×#387	C₂²	1	1	yes	characteristic
135	C₃×#387	C₂²	1	1	yes	characteristic
136	C₃×#387	C₂²	1	1	yes	characteristic
137	C₃×#387	C₂²	1	1	yes	characteristic
138	C₃×#387	C₂²	1	1	yes	characteristic
139	C₃×#387	C₂²	1	1	yes	characteristic
140	C₃×#387	C₂²	1	1	yes	characteristic
141	C₃×#387	C₂²	1	1	yes	characteristic
142	C₃×#387	C₂²	1	1	yes	characteristic
143	C₃×#387	C₂²	1	1	yes	characteristic
144	C₃×#387	C₂²	1	1	yes	characteristic
145	C₃×#387	C₂²	1	1	yes	characteristic
146	C₃×#387	C₂²	1	1	yes	characteristic
147	C₃×#387	C₂²	1	1	yes	characteristic
148	C₃×#387	C₂²	1	1	yes	characteristic
149	C₃×#387	C₂²	1	1	yes	characteristic
150	C₃×#386	C₂²	1	1	yes	characteristic
151	C₃×#386	C₂²	1	1	yes	characteristic
152	C₃×#386	C₂²	1	1	yes	characteristic
153	C₃×#386	C₂²	1	1	yes	characteristic
154	C₃×#386	C₂²	1	1	yes	characteristic
155	C₃×#386	C₂²	1	1	yes	characteristic
156	C₃×#386	C₂²	1	1	yes	characteristic
157	C₃×#385	C₂²	1	1	yes	characteristic
158	C₃×#385	C₂²	1	1	yes	characteristic
159	C₃×#385	C₂²	1	1	yes	characteristic
160	C₃×#385	C₂²	1	1	yes	characteristic
161	C₃×#385	C₂²	1	1	yes	characteristic
162	C₃×#385	C₂²	1	1	yes	characteristic
163	C₃×#385	C₂²	1	1	yes	characteristic
164	C₃×#384	C₂²	1	1	yes	characteristic
165	C₃×#383	C₂²	1	1	yes	characteristic
166	C₃×#383	C₂²	1	1	yes	characteristic
167	C₃×#382	C₂²	1	1	yes	characteristic
168	C₃×#382	C₂²	1	1	yes	characteristic
169	C₃×#382	C₂²	1	1	yes	characteristic
170	C₃×#381	C₂²	1	1	yes	characteristic
171	C₃×#381	C₂²	1	1	yes	characteristic
172	C₃×#381	C₂²	1	1	yes	characteristic
173	C₃×#380	C₂²	1	1	yes	characteristic
174	C₃×#380	C₂²	1	1	yes	characteristic
175	C₃×#380	C₂²	1	1	yes	characteristic
176	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
177	C₃×C₄×C₄⋊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
182	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
183	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
184	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
185	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
186	C₃×#376	C₂²	1	1	yes	characteristic
187	C₂×C₃×#95	C₂²	1	1	yes	characteristic
188	#2827	C₂×C₃	1	1	yes	characteristic, complemented
189	#2826	C₂×C₃	1	1	yes	characteristic, complemented
190	#2800	C₂×C₃	1	1	yes	characteristic, complemented
191	#2800	C₂×C₃	1	1	yes	characteristic, complemented
192	#2795	C₂×C₃	1	1	yes	characteristic, complemented
193	#2793	C₂×C₃	1	1	yes	characteristic, complemented
194	#2783	C₂×C₃	1	1	yes	characteristic, complemented
195	#2739	C₂×C₃	1	1	yes	characteristic, complemented
196	#2719	C₂×C₃	1	1	yes	characteristic, complemented
197	#2711	C₂×C₃	1	1	yes	characteristic, complemented
198	#2649	C₂×C₃	1	1	yes	characteristic, complemented
199	#2648	C₂×C₃	1	1	yes	characteristic, complemented
200	#2648	C₂×C₃	1	1	yes	characteristic, complemented
201	#2635	C₂×C₃	1	1	yes	characteristic
202	#2630	C₂×C₃	1	1	yes	characteristic, complemented
203	#2602	C₂×C₃	1	1	yes	characteristic, complemented
204	#2575	C₂×C₃	1	1	yes	characteristic, complemented
205	#2573	C₂×C₃	1	1	yes	characteristic, complemented
206	#2533	C₂×C₃	1	1	yes	characteristic, complemented
207	#2531	C₂×C₃	1	1	yes	characteristic, complemented
208	#2518	C₂×C₃	1	1	yes	characteristic, complemented
209	#2517	C₂×C₃	1	1	yes	characteristic, complemented
210	#2515	C₂×C₃	1	1	yes	characteristic, complemented
211	#2460	C₂×C₃	1	1	yes	characteristic, complemented
212	#2460	C₂×C₃	1	1	yes	characteristic, complemented
213	#2441	C₂×C₃	1	1	yes	characteristic, complemented
214	#2420	C₂×C₃	1	1	yes	characteristic, complemented
215	#2392	C₂×C₃	1	1	yes	characteristic, complemented
216	#2359	C₂×C₃	1	1	yes	characteristic, complemented
217	#2353	C₂×C₃	1	1	yes	characteristic, complemented
218	#2318	C₂×C₃	1	1	yes	characteristic, complemented
219	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
220	C₂²×C₃×D₄	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	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
226	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
227	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
228	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
229	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
230	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
231	C₃×#125	—	4	2	no	—
232	C₃×#125	—	4	2	no	—
233	C₃×#123	—	2	4	no	—
234	C₃×#121	—	4	2	no	—
235	C₃×C₄×D₄	—	2	4	no	—
236	C₃×C₄×D₄	—	2	4	no	—
237	C₃×C₄×D₄	—	4	2	no	—
238	C₃×C₄×D₄	—	4	2	no	—
239	C₃×#117	—	4	2	no	—
240	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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×C₄²	C₂³	1	1	yes	characteristic
319	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
320	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
321	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
322	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
323	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
324	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
325	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
326	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
327	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
328	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
329	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
330	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
331	C₃×#95	C₂³	1	1	yes	characteristic
332	C₃×#95	C₂³	1	1	yes	characteristic
333	C₃×#95	C₂³	1	1	yes	characteristic
334	C₃×#95	C₂³	1	1	yes	characteristic
335	C₃×#95	C₂³	1	1	yes	characteristic
336	C₃×#95	C₂³	1	1	yes	characteristic
337	C₃×#95	C₂³	1	1	yes	characteristic
338	C₃×#95	C₂³	1	1	yes	characteristic
339	C₃×#95	C₂³	1	1	yes	characteristic
340	C₃×#95	C₂³	1	1	yes	characteristic
341	C₃×#95	C₂³	1	1	yes	characteristic
342	C₃×#95	C₂³	1	1	yes	characteristic
343	C₃×#95	C₂³	1	1	yes	characteristic
344	C₃×#95	C₂³	1	1	yes	characteristic
345	C₃×#95	C₂³	1	1	yes	characteristic
346	C₃×#95	C₂³	1	1	yes	characteristic
347	C₃×#95	C₂³	1	1	yes	characteristic
348	C₃×#95	C₂³	1	1	yes	characteristic
349	C₃×#95	C₂³	1	1	yes	characteristic
350	C₃×#95	C₂³	1	1	yes	characteristic
351	C₃×#95	C₂³	1	1	yes	characteristic
352	C₃×#95	C₂³	1	1	yes	characteristic
353	C₃×#95	C₂³	1	1	yes	characteristic
354	C₃×#95	C₂³	1	1	yes	characteristic
355	C₃×#95	C₂³	1	1	yes	characteristic
356	C₃×#95	C₂³	1	1	yes	characteristic
357	C₃×#95	C₂³	1	1	yes	characteristic
358	C₃×#95	C₂³	1	1	yes	characteristic
359	C₃×#95	C₂³	1	1	yes	characteristic
360	C₃×#95	C₂³	1	1	yes	characteristic
361	C₃×#95	C₂³	1	1	yes	characteristic
362	C₃×#95	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	C₂×#125	C₂²×C₃	1	1	yes	characteristic
384	C₂×#125	C₂²×C₃	1	1	yes	characteristic
385	C₂×#123	C₂²×C₃	1	1	yes	characteristic
386	C₂×#121	C₂²×C₃	1	1	yes	characteristic
387	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
388	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
389	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
390	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
391	C₂×#117	C₂²×C₃	1	1	yes	characteristic
392	#400	C₂²×C₃	1	1	yes	characteristic
393	#400	C₂²×C₃	1	1	yes	characteristic
394	#400	C₂²×C₃	1	1	yes	characteristic
395	#400	C₂²×C₃	1	1	yes	characteristic
396	#400	C₂²×C₃	1	1	yes	characteristic
397	#400	C₂²×C₃	1	1	yes	characteristic
398	#400	C₂²×C₃	1	1	yes	characteristic
399	#400	C₂²×C₃	1	1	yes	characteristic
400	#400	C₂²×C₃	1	1	yes	characteristic
401	#399	C₂²×C₃	1	1	yes	characteristic
402	#399	C₂²×C₃	1	1	yes	characteristic
403	#399	C₂²×C₃	1	1	yes	characteristic
404	#398	C₂²×C₃	1	1	yes	characteristic
405	#398	C₂²×C₃	1	1	yes	characteristic
406	#398	C₂²×C₃	1	1	yes	characteristic
407	#398	C₂²×C₃	1	1	yes	characteristic
408	#397	C₂²×C₃	1	1	yes	characteristic
409	#397	C₂²×C₃	1	1	yes	characteristic
410	#397	C₂²×C₃	1	1	yes	characteristic
411	#397	C₂²×C₃	1	1	yes	characteristic
412	#397	C₂²×C₃	1	1	yes	characteristic
413	#397	C₂²×C₃	1	1	yes	characteristic
414	#397	C₂²×C₃	1	1	yes	characteristic
415	#397	C₂²×C₃	1	1	yes	characteristic
416	#397	C₂²×C₃	1	1	yes	characteristic
417	#397	C₂²×C₃	1	1	yes	characteristic
418	#397	C₂²×C₃	1	1	yes	characteristic
419	#397	C₂²×C₃	1	1	yes	characteristic
420	#396	C₂²×C₃	1	1	yes	characteristic
421	#396	C₂²×C₃	1	1	yes	characteristic
422	#396	C₂²×C₃	1	1	yes	characteristic
423	#396	C₂²×C₃	1	1	yes	characteristic
424	#396	C₂²×C₃	1	1	yes	characteristic
425	#396	C₂²×C₃	1	1	yes	characteristic
426	#396	C₂²×C₃	1	1	yes	characteristic
427	#396	C₂²×C₃	1	1	yes	characteristic
428	#396	C₂²×C₃	1	1	yes	characteristic
429	#396	C₂²×C₃	1	1	yes	characteristic
430	#394	C₂²×C₃	1	1	yes	characteristic
431	#394	C₂²×C₃	1	1	yes	characteristic
432	#394	C₂²×C₃	1	1	yes	characteristic
433	#394	C₂²×C₃	1	1	yes	characteristic
434	#394	C₂²×C₃	1	1	yes	characteristic
435	#394	C₂²×C₃	1	1	yes	characteristic
436	#394	C₂²×C₃	1	1	yes	characteristic
437	#394	C₂²×C₃	1	1	yes	characteristic
438	#394	C₂²×C₃	1	1	yes	characteristic
439	#394	C₂²×C₃	1	1	yes	characteristic
440	#394	C₂²×C₃	1	1	yes	characteristic
441	#394	C₂²×C₃	1	1	yes	characteristic
442	#394	C₂²×C₃	1	1	yes	characteristic
443	#394	C₂²×C₃	1	1	yes	characteristic
444	#394	C₂²×C₃	1	1	yes	characteristic
445	#392	C₂²×C₃	1	1	yes	characteristic
446	#392	C₂²×C₃	1	1	yes	characteristic
447	#392	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	#389	C₂²×C₃	1	1	yes	characteristic
452	#389	C₂²×C₃	1	1	yes	characteristic
453	#389	C₂²×C₃	1	1	yes	characteristic
454	#389	C₂²×C₃	1	1	yes	characteristic
455	#389	C₂²×C₃	1	1	yes	characteristic
456	#389	C₂²×C₃	1	1	yes	characteristic
457	#389	C₂²×C₃	1	1	yes	characteristic
458	#388	C₂²×C₃	1	1	yes	characteristic
459	#388	C₂²×C₃	1	1	yes	characteristic
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	#387	C₂²×C₃	1	1	yes	characteristic
479	#387	C₂²×C₃	1	1	yes	characteristic
480	#387	C₂²×C₃	1	1	yes	characteristic
481	#387	C₂²×C₃	1	1	yes	characteristic
482	#387	C₂²×C₃	1	1	yes	characteristic
483	#387	C₂²×C₃	1	1	yes	characteristic
484	#387	C₂²×C₃	1	1	yes	characteristic
485	#387	C₂²×C₃	1	1	yes	characteristic
486	#387	C₂²×C₃	1	1	yes	characteristic
487	#387	C₂²×C₃	1	1	yes	characteristic
488	#387	C₂²×C₃	1	1	yes	characteristic
489	#387	C₂²×C₃	1	1	yes	characteristic
490	#387	C₂²×C₃	1	1	yes	characteristic
491	#387	C₂²×C₃	1	1	yes	characteristic
492	#387	C₂²×C₃	1	1	yes	characteristic
493	#387	C₂²×C₃	1	1	yes	characteristic
494	#387	C₂²×C₃	1	1	yes	characteristic
495	#387	C₂²×C₃	1	1	yes	characteristic
496	#387	C₂²×C₃	1	1	yes	characteristic
497	#387	C₂²×C₃	1	1	yes	characteristic
498	#387	C₂²×C₃	1	1	yes	characteristic
499	#387	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	#385	C₂²×C₃	1	1	yes	characteristic
508	#385	C₂²×C₃	1	1	yes	characteristic
509	#385	C₂²×C₃	1	1	yes	characteristic
510	#385	C₂²×C₃	1	1	yes	characteristic
511	#385	C₂²×C₃	1	1	yes	characteristic
512	#385	C₂²×C₃	1	1	yes	characteristic
513	#385	C₂²×C₃	1	1	yes	characteristic
514	#384	C₂²×C₃	1	1	yes	characteristic
515	#383	C₂²×C₃	1	1	yes	characteristic
516	#383	C₂²×C₃	1	1	yes	characteristic
517	#382	C₂²×C₃	1	1	yes	characteristic
518	#382	C₂²×C₃	1	1	yes	characteristic
519	#382	C₂²×C₃	1	1	yes	characteristic
520	#381	C₂²×C₃	1	1	yes	characteristic
521	#381	C₂²×C₃	1	1	yes	characteristic
522	#381	C₂²×C₃	1	1	yes	characteristic
523	#380	C₂²×C₃	1	1	yes	characteristic
524	#380	C₂²×C₃	1	1	yes	characteristic
525	#380	C₂²×C₃	1	1	yes	characteristic
526	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
527	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
528	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
529	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
530	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
531	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
532	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
533	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
534	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
535	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
536	#376	C₂²×C₃	1	1	yes	characteristic
537	C₂×#95	C₂²×C₃	1	1	yes	characteristic
538	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
539	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
540	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
541	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
542	C₂×C₃×D₄	—	2	2	no	—
543	C₂×C₃×D₄	—	2	2	no	—
544	C₂×C₃×D₄	—	2	2	no	—
545	C₂×C₃×D₄	—	2	2	no	—
546	C₂×C₃×D₄	—	4	1	no	—
547	C₂×C₃×D₄	—	4	1	no	—
548	C₂×C₃×D₄	—	4	1	no	—
549	C₂×C₃×D₄	—	4	1	no	—
550	C₂×C₃×D₄	—	4	1	no	—
551	C₂×C₃×D₄	—	4	1	no	—
552	C₂×C₃×D₄	—	4	1	no	—
553	C₂×C₃×D₄	—	4	1	no	—
554	C₂×C₃×D₄	—	4	1	no	—
555	C₂×C₃×D₄	—	4	1	no	—
556	C₂×C₃×D₄	—	4	1	no	—
557	C₂×C₃×D₄	—	4	1	no	—
558	C₂×C₃×D₄	—	4	1	no	—
559	C₂×C₃×D₄	—	4	1	no	—
560	C₂²×C₃×C₄	—	2	2	no	—
561	C₂²×C₃×C₄	—	2	2	no	—
562	C₂²×C₃×C₄	—	2	2	no	—
563	C₂²×C₃×C₄	—	4	1	no	—
564	C₂²×C₃×C₄	—	4	1	no	—
565	C₂²×C₃×C₄	—	4	1	no	—
566	C₂²×C₃×C₄	—	4	1	no	—
567	C₂²×C₃×C₄	—	4	1	no	—
568	C₂²×C₃×C₄	—	4	1	no	—
569	C₂²×C₃×C₄	—	4	1	no	—
570	C₂²×C₃×C₄	—	4	1	no	—
571	C₂²×C₃×C₄	—	4	1	no	—
572	C₂²×C₃×C₄	—	4	1	no	—
573	C₂²×C₃×C₄	—	4	1	no	—
574	C₂²×C₃×C₄	—	4	1	no	—
575	C₂²×C₃×C₄	—	4	1	no	—
576	C₂²×C₃×C₄	—	4	1	no	—
577	C₂²×C₃×C₄	#41	1	4	yes	—
578	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
579	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
580	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
581	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
582	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
583	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
584	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
585	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
586	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
587	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
588	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
589	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
590	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
591	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
592	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
593	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
594	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
595	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
596	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
597	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
598	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
599	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
600	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
601	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
602	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
603	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
604	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
605	C₃×C₄⋊C₄	—	2	2	no	—
606	C₃×C₄⋊C₄	—	2	2	no	—
607	C₃×C₄⋊C₄	—	2	2	no	—
608	C₃×C₄⋊C₄	—	2	2	no	—
609	C₃×C₄⋊C₄	—	2	2	no	—
610	C₃×C₄⋊C₄	—	2	2	no	—
611	C₃×C₄⋊C₄	—	2	2	no	—
612	C₃×C₄⋊C₄	—	2	2	no	—
613	C₃×C₄⋊C₄	—	2	2	no	—
614	C₃×C₄⋊C₄	—	4	1	no	—
615	C₃×C₄⋊C₄	—	4	1	no	—
616	C₃×C₄⋊C₄	—	4	1	no	—
617	C₃×C₄⋊C₄	—	4	1	no	—
618	C₃×C₄⋊C₄	—	4	1	no	—
619	C₃×C₄⋊C₄	—	4	1	no	—
620	C₃×C₄⋊C₄	—	4	1	no	—
621	C₃×C₄⋊C₄	—	4	1	no	—
622	C₃×C₄⋊C₄	—	4	1	no	—
623	C₃×C₄⋊C₄	—	4	1	no	—
624	C₃×C₄⋊C₄	—	4	1	no	—
625	C₃×C₄⋊C₄	—	4	1	no	—
626	C₃×C₄⋊C₄	—	4	1	no	—
627	C₃×C₄⋊C₄	—	4	1	no	—
628	C₃×C₄⋊C₄	—	4	1	no	—
629	C₃×C₄⋊C₄	—	4	1	no	—
630	C₃×C₄⋊C₄	—	4	1	no	—
631	C₃×C₄⋊C₄	—	4	1	no	—
632	C₃×C₄⋊C₄	—	4	1	no	—
633	C₃×C₄⋊C₄	—	4	1	no	—
634	C₃×C₄⋊C₄	—	4	1	no	—
635	C₃×C₄⋊C₄	—	4	1	no	—
636	C₃×C₄⋊C₄	—	4	1	no	—
637	C₃×C₄⋊C₄	—	4	1	no	—
638	C₃×C₄⋊C₄	—	4	1	no	—
639	C₃×C₄⋊C₄	—	4	1	no	—
640	C₃×C₄⋊C₄	—	4	1	no	—
641	C₃×C₂²⋊C₄	—	2	2	no	—
642	C₃×C₂²⋊C₄	—	2	2	no	—
643	C₃×C₂²⋊C₄	—	2	2	no	—
644	C₃×C₂²⋊C₄	—	2	2	no	—
645	C₃×C₂²⋊C₄	—	2	2	no	—
646	C₃×C₂²⋊C₄	—	2	2	no	—
647	C₃×C₂²⋊C₄	—	2	2	no	—
648	C₃×C₂²⋊C₄	—	2	2	no	—
649	C₃×C₂²⋊C₄	—	4	1	no	—
650	C₃×C₂²⋊C₄	—	4	1	no	—
651	C₃×C₂²⋊C₄	—	4	1	no	—
652	C₃×C₂²⋊C₄	—	4	1	no	—
653	C₃×C₂²⋊C₄	—	4	1	no	—
654	C₃×C₂²⋊C₄	—	4	1	no	—
655	C₃×C₂²⋊C₄	—	4	1	no	—
656	C₃×C₂²⋊C₄	—	4	1	no	—
657	C₃×C₂²⋊C₄	—	4	1	no	—
658	C₃×C₂²⋊C₄	—	4	1	no	—
659	C₃×C₂²⋊C₄	—	4	1	no	—
660	C₃×C₂²⋊C₄	—	4	1	no	—
661	C₃×C₂²⋊C₄	—	4	1	no	—
662	C₃×C₂²⋊C₄	—	4	1	no	—
663	C₃×C₂²⋊C₄	—	4	1	no	—
664	C₃×C₂²⋊C₄	—	4	1	no	—
665	C₃×C₂²⋊C₄	—	4	1	no	—
666	C₃×C₂²⋊C₄	—	4	1	no	—
667	C₃×C₂²⋊C₄	—	4	1	no	—
668	C₃×C₂²⋊C₄	—	4	1	no	—
669	C₃×C₂²⋊C₄	—	4	1	no	—
670	C₃×C₂²⋊C₄	—	4	1	no	—
671	C₃×C₂²⋊C₄	—	4	1	no	—
672	C₃×C₂²⋊C₄	—	4	1	no	—
673	C₃×C₂²⋊C₄	—	4	1	no	—
674	C₃×C₂²⋊C₄	—	4	1	no	—
675	C₃×C₂²⋊C₄	—	4	1	no	—
676	C₃×C₂²⋊C₄	—	4	1	no	—
677	C₃×C₂²⋊C₄	—	4	1	no	—
678	C₃×C₂²⋊C₄	—	4	1	no	—
679	C₃×C₂²⋊C₄	—	4	1	no	—
680	C₃×C₂²⋊C₄	—	4	1	no	—
681	C₃×C₂²⋊C₄	—	4	1	no	—
682	C₃×C₂²⋊C₄	—	4	1	no	—
683	C₃×C₄²	—	2	2	no	—
684	C₃×C₄²	—	2	2	no	—
685	C₃×C₄²	—	2	2	no	—
686	C₃×C₄²	—	4	1	no	—
687	C₃×C₄²	—	4	1	no	—
688	C₃×C₄²	—	4	1	no	—
689	C₃×C₄²	—	4	1	no	—
690	C₃×C₄²	—	4	1	no	—
691	C₃×C₄²	—	4	1	no	—
692	C₃×C₄²	—	4	1	no	—
693	C₃×C₄²	—	4	1	no	—
694	C₃×C₄²	—	4	1	no	—
695	C₃×C₄²	—	4	1	no	—
696	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
697	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
698	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
699	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
700	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
701	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
702	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
703	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
704	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
705	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
706	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
707	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
708	#125	—	4	2	no	—
709	#125	—	4	2	no	—
710	#123	—	2	4	no	—
711	#121	—	4	2	no	—
712	C₄×D₄	—	2	4	no	—
713	C₄×D₄	—	2	4	no	—
714	C₄×D₄	—	4	2	no	—
715	C₄×D₄	—	4	2	no	—
716	#117	—	4	2	no	—
717	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
718	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
719	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
720	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
721	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
722	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
723	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
724	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
725	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
726	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
727	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
728	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
729	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
730	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
731	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
732	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
733	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
734	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
735	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
736	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
737	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
738	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
739	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
740	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
741	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
742	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
743	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
744	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
745	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
746	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
747	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
748	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
749	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
750	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
751	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
752	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
753	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
754	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
755	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
756	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
757	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
758	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
759	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
760	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
761	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
762	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
763	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
764	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
765	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
766	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
767	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
768	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
769	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
770	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
771	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
772	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
773	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
774	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
775	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
776	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
777	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
778	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
779	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
780	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
781	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
782	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
783	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
784	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
785	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
786	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
787	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
788	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
789	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
790	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
791	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
792	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
793	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
794	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
795	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
796	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
797	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
798	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
799	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
800	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
801	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
802	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
803	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
804	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
805	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
806	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
807	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
808	#95	C₂³×C₃	1	1	yes	characteristic
809	#95	C₂³×C₃	1	1	yes	characteristic
810	#95	C₂³×C₃	1	1	yes	characteristic
811	#95	C₂³×C₃	1	1	yes	characteristic
812	#95	C₂³×C₃	1	1	yes	characteristic
813	#95	C₂³×C₃	1	1	yes	characteristic
814	#95	C₂³×C₃	1	1	yes	characteristic
815	#95	C₂³×C₃	1	1	yes	characteristic
816	#95	C₂³×C₃	1	1	yes	characteristic
817	#95	C₂³×C₃	1	1	yes	characteristic
818	#95	C₂³×C₃	1	1	yes	characteristic
819	#95	C₂³×C₃	1	1	yes	characteristic
820	#95	C₂³×C₃	1	1	yes	characteristic
821	#95	C₂³×C₃	1	1	yes	characteristic
822	#95	C₂³×C₃	1	1	yes	characteristic
823	#95	C₂³×C₃	1	1	yes	characteristic
824	#95	C₂³×C₃	1	1	yes	characteristic
825	#95	C₂³×C₃	1	1	yes	characteristic
826	#95	C₂³×C₃	1	1	yes	characteristic
827	#95	C₂³×C₃	1	1	yes	characteristic
828	#95	C₂³×C₃	1	1	yes	characteristic
829	#95	C₂³×C₃	1	1	yes	characteristic
830	#95	C₂³×C₃	1	1	yes	characteristic
831	#95	C₂³×C₃	1	1	yes	characteristic
832	#95	C₂³×C₃	1	1	yes	characteristic
833	#95	C₂³×C₃	1	1	yes	characteristic
834	#95	C₂³×C₃	1	1	yes	characteristic
835	#95	C₂³×C₃	1	1	yes	characteristic
836	#95	C₂³×C₃	1	1	yes	characteristic
837	#95	C₂³×C₃	1	1	yes	characteristic
838	#95	C₂³×C₃	1	1	yes	characteristic
839	#95	C₂³×C₃	1	1	yes	characteristic
840	#95	C₂³×C₃	1	1	yes	characteristic
841	#95	C₂³×C₃	1	1	yes	characteristic
842	#95	C₂³×C₃	1	1	yes	characteristic
843	#95	C₂³×C₃	1	1	yes	characteristic
844	#95	C₂³×C₃	1	1	yes	characteristic
845	#95	C₂³×C₃	1	1	yes	characteristic
846	#95	C₂³×C₃	1	1	yes	characteristic
847	#95	C₂³×C₃	1	1	yes	characteristic
848	#95	C₂³×C₃	1	1	yes	characteristic
849	#95	C₂³×C₃	1	1	yes	characteristic
850	#95	C₂³×C₃	1	1	yes	characteristic
851	#95	C₂³×C₃	1	1	yes	characteristic
852	#95	C₂³×C₃	1	1	yes	characteristic
853	#95	C₂³×C₃	1	1	yes	characteristic
854	#95	C₂³×C₃	1	1	yes	characteristic
855	#95	C₂³×C₃	1	1	yes	characteristic
856	#95	C₂³×C₃	1	1	yes	characteristic
857	#95	C₂³×C₃	1	1	yes	characteristic
858	#95	C₂³×C₃	1	1	yes	characteristic
859	#95	C₂³×C₃	1	1	yes	characteristic
860	C₂³×C₃	—	2	1	no	—
861	C₂³×C₃	—	2	1	no	—
862	C₂³×C₃	—	2	1	no	—
863	C₂³×C₃	—	2	1	no	—
864	C₂³×C₃	—	2	1	no	—
865	C₂³×C₃	—	2	1	no	—
866	C₂³×C₃	—	2	1	no	—
867	C₂³×C₃	—	2	1	no	—
868	C₂³×C₃	—	2	1	no	—
869	C₂³×C₃	—	2	1	no	—
870	C₂³×C₃	—	2	1	no	—
871	C₂³×C₃	—	2	1	no	—
872	C₂³×C₃	—	2	1	no	—
873	C₂³×C₃	—	2	1	no	—
874	C₂³×C₃	—	2	1	no	—
875	C₂³×C₃	—	2	1	no	—
876	C₂³×C₃	—	2	1	no	—
877	C₂³×C₃	—	2	1	no	—
878	C₂³×C₃	—	2	1	no	—
879	C₂³×C₃	—	2	1	no	—
880	C₂³×C₃	—	2	1	no	—
881	C₂³×C₃	—	2	1	no	—
882	C₂³×C₃	—	2	1	no	—
883	C₂³×C₃	—	2	1	no	—
884	C₂³×C₃	—	2	1	no	—
885	C₂³×C₃	—	2	1	no	—
886	C₂³×C₃	—	2	1	no	—
887	C₂³×C₃	C₂×#41	1	2	yes	—
888	C₂³×C₃	C₂⁵	1	1	yes	characteristic
889	C₃×D₄	—	4	4	no	—
890	C₃×D₄	—	4	4	no	—
891	C₃×D₄	—	4	4	no	—
892	C₃×D₄	—	4	4	no	—
893	C₃×D₄	—	8	2	no	—
894	C₃×D₄	—	8	2	no	—
895	C₂×C₃×C₄	—	2	1	no	—
896	C₂×C₃×C₄	—	2	1	no	—
897	C₂×C₃×C₄	—	2	1	no	—
898	C₂×C₃×C₄	—	2	1	no	—
899	C₂×C₃×C₄	—	2	1	no	—
900	C₂×C₃×C₄	—	2	1	no	—
901	C₂×C₃×C₄	—	2	1	no	—
902	C₂×C₃×C₄	—	2	1	no	—
903	C₂×C₃×C₄	—	2	1	no	—
904	C₂×C₃×C₄	—	2	1	no	—
905	C₂×C₃×C₄	—	2	1	no	—
906	C₂×C₃×C₄	—	2	1	no	—
907	C₂×C₃×C₄	—	2	1	no	—
908	C₂×C₃×C₄	—	2	1	no	—
909	C₂×C₃×C₄	—	2	1	no	—
910	C₂×C₃×C₄	—	2	1	no	—
911	C₂×C₃×C₄	—	2	1	no	—
912	C₂×C₃×C₄	—	2	1	no	—
913	C₂×C₃×C₄	—	2	1	no	—
914	C₂×C₃×C₄	—	2	1	no	—
915	C₂×C₃×C₄	—	2	1	no	—
916	C₂×C₃×C₄	—	2	1	no	—
917	C₂×C₃×C₄	—	2	1	no	—
918	C₂×C₃×C₄	—	2	1	no	—
919	C₂×C₃×C₄	—	2	1	no	—
920	C₂×C₃×C₄	—	2	1	no	—
921	C₂×C₃×C₄	—	2	1	no	—
922	C₂×C₃×C₄	—	2	1	no	—
923	C₂×C₃×C₄	—	2	1	no	—
924	C₂×C₃×C₄	—	2	1	no	—
925	C₂×C₃×C₄	—	2	1	no	—
926	C₂×C₃×C₄	—	2	1	no	—
927	C₂×C₃×C₄	—	2	1	no	—
928	C₂×C₃×C₄	—	2	1	no	—
929	C₂×C₃×C₄	—	2	1	no	—
930	C₂×C₃×C₄	—	2	1	no	—
931	C₂×C₃×C₄	—	2	1	no	—
932	C₂×C₃×C₄	—	2	1	no	—
933	C₂×C₃×C₄	—	2	1	no	—
934	C₂×C₃×C₄	—	2	1	no	—
935	C₂×C₃×C₄	—	2	1	no	—
936	C₂×C₃×C₄	—	2	1	no	—
937	C₂×C₃×C₄	—	2	1	no	—
938	C₂×C₃×C₄	—	2	1	no	—
939	C₂×C₃×C₄	—	2	1	no	—
940	C₂×C₃×C₄	—	2	1	no	—
941	C₂×C₃×C₄	—	2	1	no	—
942	C₂×C₃×C₄	—	2	1	no	—
943	C₂×C₃×C₄	—	2	1	no	—
944	C₂×C₃×C₄	—	2	1	no	—
945	C₂×C₃×C₄	—	2	1	no	—
946	C₂×C₃×C₄	—	2	1	no	—
947	C₂×C₃×C₄	—	2	1	no	—
948	C₂×C₃×C₄	—	2	1	no	—
949	C₂×C₃×C₄	—	2	1	no	—
950	C₂×C₃×C₄	—	2	1	no	—
951	C₂×C₃×C₄	—	2	1	no	—
952	C₂×C₃×C₄	—	2	1	no	—
953	C₂×C₃×C₄	—	2	1	no	—
954	C₂×C₃×C₄	—	2	1	no	—
955	C₂×C₃×C₄	—	2	1	no	—
956	C₂×C₃×C₄	—	2	1	no	—
957	C₂×C₃×C₄	—	2	1	no	—
958	C₂×C₃×C₄	—	2	1	no	—
959	C₂×C₃×C₄	—	2	1	no	—
960	C₂×C₃×C₄	—	2	1	no	—
961	C₂×C₃×C₄	—	2	1	no	—
962	C₂×C₃×C₄	—	2	1	no	—
963	C₂×C₃×C₄	—	2	1	no	—
964	C₂×C₃×C₄	—	2	1	no	—
965	C₂×C₃×C₄	—	2	1	no	—
966	C₂×C₃×C₄	—	2	1	no	—
967	C₂×C₃×C₄	—	2	1	no	—
968	C₂×C₃×C₄	—	2	1	no	—
969	C₂×C₃×C₄	—	2	1	no	—
970	C₂×C₃×C₄	—	2	1	no	—
971	C₂×C₃×C₄	—	2	1	no	—
972	C₂×C₃×C₄	—	2	1	no	—
973	C₂×C₃×C₄	—	4	4	no	—
974	C₂×C₃×C₄	—	8	2	no	—
975	C₂×C₃×C₄	—	8	2	no	—
976	C₂×C₃×C₄	—	8	2	no	—
977	C₂×C₃×C₄	—	8	2	no	—
978	C₂×C₃×C₄	—	8	2	no	—
979	C₂×C₃×C₄	C₂×#41	1	2	yes	—
980	C₂×C₃×C₄	C₂×#41	1	2	yes	—
981	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
982	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
983	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
984	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
985	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
986	C₂×D₄	—	2	2	no	—
987	C₂×D₄	—	2	2	no	—
988	C₂×D₄	—	2	2	no	—
989	C₂×D₄	—	2	2	no	—
990	C₂×D₄	—	4	1	no	—
991	C₂×D₄	—	4	1	no	—
992	C₂×D₄	—	4	1	no	—
993	C₂×D₄	—	4	1	no	—
994	C₂×D₄	—	4	1	no	—
995	C₂×D₄	—	4	1	no	—
996	C₂×D₄	—	4	1	no	—
997	C₂×D₄	—	4	1	no	—
998	C₂×D₄	—	4	1	no	—
999	C₂×D₄	—	4	1	no	—
1000	C₂×D₄	—	4	1	no	—
1001	C₂×D₄	—	4	1	no	—
1002	C₂×D₄	—	4	1	no	—
1003	C₂×D₄	—	4	1	no	—
1004	C₂²×C₄	—	2	2	no	—
1005	C₂²×C₄	—	2	2	no	—
1006	C₂²×C₄	—	2	2	no	—
1007	C₂²×C₄	—	4	1	no	—
1008	C₂²×C₄	—	4	1	no	—
1009	C₂²×C₄	—	4	1	no	—
1010	C₂²×C₄	—	4	1	no	—
1011	C₂²×C₄	—	4	1	no	—
1012	C₂²×C₄	—	4	1	no	—
1013	C₂²×C₄	—	4	1	no	—
1014	C₂²×C₄	—	4	1	no	—
1015	C₂²×C₄	—	4	1	no	—
1016	C₂²×C₄	—	4	1	no	—
1017	C₂²×C₄	—	4	1	no	—
1018	C₂²×C₄	—	4	1	no	—
1019	C₂²×C₄	—	4	1	no	—
1020	C₂²×C₄	—	4	1	no	—
1021	C₂²×C₄	C₃×#41	1	4	yes	—
1022	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1023	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1024	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1025	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1026	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1027	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1028	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1029	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1030	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1031	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1032	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1033	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1034	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1035	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1036	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1037	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1038	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1039	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1040	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1041	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1042	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1043	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1044	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1045	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1046	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1047	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1048	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1049	C₄⋊C₄	—	2	2	no	—
1050	C₄⋊C₄	—	2	2	no	—
1051	C₄⋊C₄	—	2	2	no	—
1052	C₄⋊C₄	—	2	2	no	—
1053	C₄⋊C₄	—	2	2	no	—
1054	C₄⋊C₄	—	2	2	no	—
1055	C₄⋊C₄	—	2	2	no	—
1056	C₄⋊C₄	—	2	2	no	—
1057	C₄⋊C₄	—	2	2	no	—
1058	C₄⋊C₄	—	4	1	no	—
1059	C₄⋊C₄	—	4	1	no	—
1060	C₄⋊C₄	—	4	1	no	—
1061	C₄⋊C₄	—	4	1	no	—
1062	C₄⋊C₄	—	4	1	no	—
1063	C₄⋊C₄	—	4	1	no	—
1064	C₄⋊C₄	—	4	1	no	—
1065	C₄⋊C₄	—	4	1	no	—
1066	C₄⋊C₄	—	4	1	no	—
1067	C₄⋊C₄	—	4	1	no	—
1068	C₄⋊C₄	—	4	1	no	—
1069	C₄⋊C₄	—	4	1	no	—
1070	C₄⋊C₄	—	4	1	no	—
1071	C₄⋊C₄	—	4	1	no	—
1072	C₄⋊C₄	—	4	1	no	—
1073	C₄⋊C₄	—	4	1	no	—
1074	C₄⋊C₄	—	4	1	no	—
1075	C₄⋊C₄	—	4	1	no	—
1076	C₄⋊C₄	—	4	1	no	—
1077	C₄⋊C₄	—	4	1	no	—
1078	C₄⋊C₄	—	4	1	no	—
1079	C₄⋊C₄	—	4	1	no	—
1080	C₄⋊C₄	—	4	1	no	—
1081	C₄⋊C₄	—	4	1	no	—
1082	C₄⋊C₄	—	4	1	no	—
1083	C₄⋊C₄	—	4	1	no	—
1084	C₄⋊C₄	—	4	1	no	—
1085	C₂²⋊C₄	—	2	2	no	—
1086	C₂²⋊C₄	—	2	2	no	—
1087	C₂²⋊C₄	—	2	2	no	—
1088	C₂²⋊C₄	—	2	2	no	—
1089	C₂²⋊C₄	—	2	2	no	—
1090	C₂²⋊C₄	—	2	2	no	—
1091	C₂²⋊C₄	—	2	2	no	—
1092	C₂²⋊C₄	—	2	2	no	—
1093	C₂²⋊C₄	—	4	1	no	—
1094	C₂²⋊C₄	—	4	1	no	—
1095	C₂²⋊C₄	—	4	1	no	—
1096	C₂²⋊C₄	—	4	1	no	—
1097	C₂²⋊C₄	—	4	1	no	—
1098	C₂²⋊C₄	—	4	1	no	—
1099	C₂²⋊C₄	—	4	1	no	—
1100	C₂²⋊C₄	—	4	1	no	—
1101	C₂²⋊C₄	—	4	1	no	—
1102	C₂²⋊C₄	—	4	1	no	—
1103	C₂²⋊C₄	—	4	1	no	—
1104	C₂²⋊C₄	—	4	1	no	—
1105	C₂²⋊C₄	—	4	1	no	—
1106	C₂²⋊C₄	—	4	1	no	—
1107	C₂²⋊C₄	—	4	1	no	—
1108	C₂²⋊C₄	—	4	1	no	—
1109	C₂²⋊C₄	—	4	1	no	—
1110	C₂²⋊C₄	—	4	1	no	—
1111	C₂²⋊C₄	—	4	1	no	—
1112	C₂²⋊C₄	—	4	1	no	—
1113	C₂²⋊C₄	—	4	1	no	—
1114	C₂²⋊C₄	—	4	1	no	—
1115	C₂²⋊C₄	—	4	1	no	—
1116	C₂²⋊C₄	—	4	1	no	—
1117	C₂²⋊C₄	—	4	1	no	—
1118	C₂²⋊C₄	—	4	1	no	—
1119	C₂²⋊C₄	—	4	1	no	—
1120	C₂²⋊C₄	—	4	1	no	—
1121	C₂²⋊C₄	—	4	1	no	—
1122	C₂²⋊C₄	—	4	1	no	—
1123	C₂²⋊C₄	—	4	1	no	—
1124	C₂²⋊C₄	—	4	1	no	—
1125	C₂²⋊C₄	—	4	1	no	—
1126	C₂²⋊C₄	—	4	1	no	—
1127	C₄²	—	2	2	no	—
1128	C₄²	—	2	2	no	—
1129	C₄²	—	2	2	no	—
1130	C₄²	—	4	1	no	—
1131	C₄²	—	4	1	no	—
1132	C₄²	—	4	1	no	—
1133	C₄²	—	4	1	no	—
1134	C₄²	—	4	1	no	—
1135	C₄²	—	4	1	no	—
1136	C₄²	—	4	1	no	—
1137	C₄²	—	4	1	no	—
1138	C₄²	—	4	1	no	—
1139	C₄²	—	4	1	no	—
1140	C₂²×C₃	—	2	2	no	—
1141	C₂²×C₃	—	2	2	no	—
1142	C₂²×C₃	—	2	2	no	—
1143	C₂²×C₃	—	4	1	no	—
1144	C₂²×C₃	—	4	1	no	—
1145	C₂²×C₃	—	4	1	no	—
1146	C₂²×C₃	—	4	1	no	—
1147	C₂²×C₃	—	4	1	no	—
1148	C₂²×C₃	—	4	1	no	—
1149	C₂²×C₃	—	4	1	no	—
1150	C₂²×C₃	—	4	1	no	—
1151	C₂²×C₃	—	4	1	no	—
1152	C₂²×C₃	—	4	1	no	—
1153	C₂²×C₃	—	4	1	no	—
1154	C₂²×C₃	—	4	1	no	—
1155	C₂²×C₃	—	4	1	no	—
1156	C₂²×C₃	—	4	1	no	—
1157	C₂²×C₃	—	4	1	no	—
1158	C₂²×C₃	—	4	1	no	—
1159	C₂²×C₃	—	4	1	no	—
1160	C₂²×C₃	—	4	1	no	—
1161	C₂²×C₃	—	4	1	no	—
1162	C₂²×C₃	—	4	1	no	—
1163	C₂²×C₃	—	4	1	no	—
1164	C₂²×C₃	—	4	1	no	—
1165	C₂²×C₃	—	4	1	no	—
1166	C₂²×C₃	—	4	1	no	—
1167	C₂²×C₃	—	4	1	no	—
1168	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1169	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1170	C₂²×C₃	#585	1	1	yes	characteristic
1171	C₂²×C₃	#585	1	1	yes	characteristic
1172	C₂²×C₃	#585	1	1	yes	characteristic
1173	C₂²×C₃	#585	1	1	yes	characteristic
1174	C₂²×C₃	#585	1	1	yes	characteristic
1175	C₃×C₄	—	2	2	no	—
1176	C₃×C₄	—	2	2	no	—
1177	C₃×C₄	—	2	2	no	—
1178	C₃×C₄	—	4	1	no	—
1179	C₃×C₄	—	4	1	no	—
1180	C₃×C₄	—	4	1	no	—
1181	C₃×C₄	—	4	1	no	—
1182	C₃×C₄	—	4	1	no	—
1183	C₃×C₄	—	4	1	no	—
1184	C₃×C₄	—	4	1	no	—
1185	C₃×C₄	—	4	1	no	—
1186	C₃×C₄	—	4	1	no	—
1187	C₃×C₄	—	4	1	no	—
1188	C₃×C₄	—	4	1	no	—
1189	C₃×C₄	—	4	1	no	—
1190	C₃×C₄	—	4	1	no	—
1191	C₃×C₄	—	4	1	no	—
1192	C₃×C₄	—	4	1	no	—
1193	C₃×C₄	—	4	1	no	—
1194	C₃×C₄	—	4	1	no	—
1195	C₃×C₄	—	4	1	no	—
1196	C₃×C₄	—	4	1	no	—
1197	C₃×C₄	—	4	1	no	—
1198	C₃×C₄	—	4	1	no	—
1199	C₃×C₄	—	4	1	no	—
1200	C₃×C₄	—	4	1	no	—
1201	C₃×C₄	—	4	1	no	—
1202	C₂³	—	2	1	no	—
1203	C₂³	—	2	1	no	—
1204	C₂³	—	2	1	no	—
1205	C₂³	—	2	1	no	—
1206	C₂³	—	2	1	no	—
1207	C₂³	—	2	1	no	—
1208	C₂³	—	2	1	no	—
1209	C₂³	—	2	1	no	—
1210	C₂³	—	2	1	no	—
1211	C₂³	—	2	1	no	—
1212	C₂³	—	2	1	no	—
1213	C₂³	—	2	1	no	—
1214	C₂³	—	2	1	no	—
1215	C₂³	—	2	1	no	—
1216	C₂³	—	2	1	no	—
1217	C₂³	—	2	1	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	—	2	1	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	2	1	no	—
1227	C₂³	—	2	1	no	—
1228	C₂³	—	2	1	no	—
1229	C₂³	C₂×C₃×#41	1	2	yes	—
1230	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1231	D₄	—	4	4	no	—
1232	D₄	—	4	4	no	—
1233	D₄	—	4	4	no	—
1234	D₄	—	4	4	no	—
1235	D₄	—	8	2	no	—
1236	D₄	—	8	2	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	4	4	no	—
1316	C₂×C₄	—	8	2	no	—
1317	C₂×C₄	—	8	2	no	—
1318	C₂×C₄	—	8	2	no	—
1319	C₂×C₄	—	8	2	no	—
1320	C₂×C₄	—	8	2	no	—
1321	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1322	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1323	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1324	C₂×C₃	—	4	2	no	—
1325	C₂×C₃	—	8	1	no	—
1326	C₂×C₃	—	8	1	no	—
1327	C₂×C₃	—	8	1	no	—
1328	C₂×C₃	#3455	1	1	yes	characteristic
1329	C₂×C₃	#3493	1	1	yes	characteristic
1330	C₂×C₃	#3505	1	1	yes	characteristic
1331	C₂×C₃	#3533	1	1	yes	characteristic
1332	C₂×C₃	#3562	1	1	yes	characteristic
1333	C₂×C₃	#3566	1	1	yes	characteristic
1334	C₂×C₃	#3567	1	1	yes	characteristic
1335	C₂²	—	2	2	no	—
1336	C₂²	—	2	2	no	—
1337	C₂²	—	2	2	no	—
1338	C₂²	—	4	1	no	—
1339	C₂²	—	4	1	no	—
1340	C₂²	—	4	1	no	—
1341	C₂²	—	4	1	no	—
1342	C₂²	—	4	1	no	—
1343	C₂²	—	4	1	no	—
1344	C₂²	—	4	1	no	—
1345	C₂²	—	4	1	no	—
1346	C₂²	—	4	1	no	—
1347	C₂²	—	4	1	no	—
1348	C₂²	—	4	1	no	—
1349	C₂²	—	4	1	no	—
1350	C₂²	—	4	1	no	—
1351	C₂²	—	4	1	no	—
1352	C₂²	—	4	1	no	—
1353	C₂²	—	4	1	no	—
1354	C₂²	—	4	1	no	—
1355	C₂²	—	4	1	no	—
1356	C₂²	—	4	1	no	—
1357	C₂²	—	4	1	no	—
1358	C₂²	—	4	1	no	—
1359	C₂²	—	4	1	no	—
1360	C₂²	—	4	1	no	—
1361	C₂²	—	4	1	no	—
1362	C₂²	—	4	1	no	—
1363	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1364	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1365	C₂²	C₃×#585	1	1	yes	characteristic
1366	C₂²	C₃×#585	1	1	yes	characteristic
1367	C₂²	C₃×#585	1	1	yes	characteristic
1368	C₂²	C₃×#585	1	1	yes	characteristic
1369	C₂²	C₃×#585	1	1	yes	characteristic
1370	C₄	—	2	2	no	—
1371	C₄	—	2	2	no	—
1372	C₄	—	2	2	no	—
1373	C₄	—	4	1	no	—
1374	C₄	—	4	1	no	—
1375	C₄	—	4	1	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	4	1	no	—
1386	C₄	—	4	1	no	—
1387	C₄	—	4	1	no	—
1388	C₄	—	4	1	no	—
1389	C₄	—	4	1	no	—
1390	C₄	—	4	1	no	—
1391	C₄	—	4	1	no	—
1392	C₄	—	4	1	no	—
1393	C₄	—	4	1	no	—
1394	C₄	—	4	1	no	—
1395	C₄	—	4	1	no	—
1396	C₄	—	4	1	no	—
1397	C₃	#40568	1	1	yes	characteristic, direct product factor, Sylow
1398	C₂	—	4	2	no	—
1399	C₂	—	8	1	no	—
1400	C₂	—	8	1	no	—
1401	C₂	—	8	1	no	—
1402	C₂	C₃×#3455	1	1	yes	characteristic
1403	C₂	C₃×#3493	1	1	yes	characteristic
1404	C₂	C₃×#3505	1	1	yes	characteristic
1405	C₂	C₃×#3533	1	1	yes	characteristic
1406	C₂	C₃×#3562	1	1	yes	characteristic
1407	C₂	C₃×#3566	1	1	yes	characteristic
1408	C₂	C₃×#3567	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₃×#2635	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×#2827	C₂	semidirect
2. C₃×#2826	C₂	semidirect
3. C₃×#2800	C₂	semidirect
4. C₃×#2800	C₂	semidirect
5. C₃×#2795	C₂	semidirect
6. C₃×#2793	C₂	semidirect
7. C₃×#2783	C₂	semidirect
8. C₃×#2739	C₂	semidirect
9. C₃×#2719	C₂	semidirect
10. C₃×#2711	C₂	semidirect
11. C₃×#2649	C₂	semidirect
12. C₃×#2648	C₂	semidirect
13. C₃×#2648	C₂	semidirect
15. C₃×#2630	C₂	semidirect
16. C₃×#2602	C₂	semidirect
17. C₃×#2575	C₂	semidirect
18. C₃×#2573	C₂	semidirect
19. C₃×#2533	C₂	semidirect
20. C₃×#2531	C₂	semidirect
21. C₃×#2518	C₂	semidirect
22. C₃×#2517	C₂	semidirect
23. C₃×#2515	C₂	semidirect
24. C₃×#2460	C₂	semidirect
25. C₃×#2460	C₂	semidirect
26. C₃×#2441	C₂	semidirect
27. C₃×#2420	C₂	semidirect
28. C₃×#2392	C₂	semidirect
29. C₃×#2359	C₂	semidirect
30. C₃×#2353	C₂	semidirect
31. C₃×#2318	C₂	semidirect
32. #40568	C₃	direct (N × H)
188. #2827	C₂×C₃	semidirect
189. #2826	C₂×C₃	semidirect
190. #2800	C₂×C₃	semidirect
191. #2800	C₂×C₃	semidirect
192. #2795	C₂×C₃	semidirect
193. #2793	C₂×C₃	semidirect
194. #2783	C₂×C₃	semidirect
195. #2739	C₂×C₃	semidirect
196. #2719	C₂×C₃	semidirect
197. #2711	C₂×C₃	semidirect
198. #2649	C₂×C₃	semidirect
199. #2648	C₂×C₃	semidirect
200. #2648	C₂×C₃	semidirect
202. #2630	C₂×C₃	semidirect
203. #2602	C₂×C₃	semidirect
204. #2575	C₂×C₃	semidirect
205. #2573	C₂×C₃	semidirect
206. #2533	C₂×C₃	semidirect
207. #2531	C₂×C₃	semidirect
208. #2518	C₂×C₃	semidirect
209. #2517	C₂×C₃	semidirect
210. #2515	C₂×C₃	semidirect
211. #2460	C₂×C₃	semidirect
212. #2460	C₂×C₃	semidirect
213. #2441	C₂×C₃	semidirect
214. #2420	C₂×C₃	semidirect
215. #2392	C₂×C₃	semidirect
216. #2359	C₂×C₃	semidirect
217. #2353	C₂×C₃	semidirect
218. #2318	C₂×C₃	semidirect
1397. C₃	#40568	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×#2827	2
C₃×#2826	2
C₃×#2800	2
C₃×#2795	2
C₃×#2793	2
C₃×#2783	2
C₃×#2739	2
C₃×#2719	2
C₃×#2711	2
C₃×#2649	2
C₃×#2648	2
C₃×#2635	2
C₃×#2630	2
C₃×#2602	2
C₃×#2575	2
C₃×#2573	2
C₃×#2533	2
C₃×#2531	2
C₃×#2518	2
C₃×#2517	2
C₃×#2515	2
C₃×#2460	2
C₃×#2441	2
C₃×#2420	2
C₃×#2392	2
C₃×#2359	2
C₃×#2353	2
C₃×#2318	2
#40568	3

Subgroups — C3×#40568 #10659175

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#40568 #10659175