Subgroups — C₃×#37128 #10655735

Order 768.

1402 conjugacy classes of subgroups.

The subgroup lattice has 1286 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2852	C₂	1	1	yes	maximal, characteristic
2	C₃×#2851	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2789	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2784	C₂	1	1	yes	maximal, characteristic
5	C₃×#2783	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2781	C₂	1	1	yes	maximal, characteristic
7	C₃×#2775	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2770	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2769	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2768	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2767	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2766	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2765	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2746	C₂	1	1	yes	maximal, characteristic
15	C₃×#2745	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2740	C₂	1	1	yes	maximal, characteristic
17	C₃×#2739	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2738	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2666	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2664	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2597	C₂	1	1	yes	maximal, characteristic
22	C₃×#2589	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2587	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#2576	C₂	1	1	yes	maximal, characteristic
25	C₃×#2532	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2530	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#2528	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2528	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#2336	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#2334	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#2283	C₂	1	1	yes	maximal, characteristic, complemented
32	#37128	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₂×C₃×#126	C₂²	1	1	yes	characteristic
34	C₂×C₃×#125	C₂²	1	1	yes	characteristic
35	C₂²×C₃×C₄²	C₂²	1	1	yes	characteristic
36	C₃×#401	C₂²	1	1	yes	characteristic
37	C₃×#401	C₂²	1	1	yes	characteristic
38	C₃×#401	C₂²	1	1	yes	characteristic
39	C₃×#400	C₂²	1	1	yes	characteristic
40	C₃×#400	C₂²	1	1	yes	characteristic
41	C₃×#400	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×#400	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×#398	C₂²	1	1	yes	characteristic
59	C₃×#398	C₂²	1	1	yes	characteristic
60	C₃×#398	C₂²	1	1	yes	characteristic
61	C₃×#398	C₂²	1	1	yes	characteristic
62	C₃×#398	C₂²	1	1	yes	characteristic
63	C₃×#398	C₂²	1	1	yes	characteristic
64	C₃×#398	C₂²	1	1	yes	characteristic
65	C₃×#398	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×#397	C₂²	1	1	yes	characteristic
71	C₃×#397	C₂²	1	1	yes	characteristic
72	C₃×#397	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×#395	C₂²	1	1	yes	characteristic
79	C₃×#395	C₂²	1	1	yes	characteristic
80	C₃×#394	C₂²	1	1	yes	characteristic
81	C₃×#394	C₂²	1	1	yes	characteristic
82	C₃×#393	C₂²	1	1	yes	characteristic
83	C₃×#393	C₂²	1	1	yes	characteristic
84	C₃×#391	C₂²	1	1	yes	characteristic
85	C₃×#391	C₂²	1	1	yes	characteristic
86	C₃×#391	C₂²	1	1	yes	characteristic
87	C₃×#390	C₂²	1	1	yes	characteristic
88	C₃×#389	C₂²	1	1	yes	characteristic
89	C₃×#389	C₂²	1	1	yes	characteristic
90	C₃×#389	C₂²	1	1	yes	characteristic
91	C₃×#389	C₂²	1	1	yes	characteristic
92	C₃×#389	C₂²	1	1	yes	characteristic
93	C₃×#389	C₂²	1	1	yes	characteristic
94	C₃×#389	C₂²	1	1	yes	characteristic
95	C₃×#389	C₂²	1	1	yes	characteristic
96	C₃×#389	C₂²	1	1	yes	characteristic
97	C₃×#389	C₂²	1	1	yes	characteristic
98	C₃×#388	C₂²	1	1	yes	characteristic
99	C₃×#388	C₂²	1	1	yes	characteristic
100	C₃×#388	C₂²	1	1	yes	characteristic
101	C₃×#388	C₂²	1	1	yes	characteristic
102	C₃×#388	C₂²	1	1	yes	characteristic
103	C₃×#388	C₂²	1	1	yes	characteristic
104	C₃×#388	C₂²	1	1	yes	characteristic
105	C₃×#388	C₂²	1	1	yes	characteristic
106	C₃×#388	C₂²	1	1	yes	characteristic
107	C₃×#388	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×#387	C₂²	1	1	yes	characteristic
116	C₃×#387	C₂²	1	1	yes	characteristic
117	C₃×#387	C₂²	1	1	yes	characteristic
118	C₃×#387	C₂²	1	1	yes	characteristic
119	C₃×#387	C₂²	1	1	yes	characteristic
120	C₃×#387	C₂²	1	1	yes	characteristic
121	C₃×#387	C₂²	1	1	yes	characteristic
122	C₃×#387	C₂²	1	1	yes	characteristic
123	C₃×#387	C₂²	1	1	yes	characteristic
124	C₃×#387	C₂²	1	1	yes	characteristic
125	C₃×#387	C₂²	1	1	yes	characteristic
126	C₃×#387	C₂²	1	1	yes	characteristic
127	C₃×#387	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×#386	C₂²	1	1	yes	characteristic
147	C₃×#386	C₂²	1	1	yes	characteristic
148	C₃×#386	C₂²	1	1	yes	characteristic
149	C₃×#386	C₂²	1	1	yes	characteristic
150	C₃×#385	C₂²	1	1	yes	characteristic
151	C₃×#385	C₂²	1	1	yes	characteristic
152	C₃×#385	C₂²	1	1	yes	characteristic
153	C₃×#385	C₂²	1	1	yes	characteristic
154	C₃×#385	C₂²	1	1	yes	characteristic
155	C₃×#385	C₂²	1	1	yes	characteristic
156	C₃×#385	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×#383	C₂²	1	1	yes	characteristic
161	C₃×#383	C₂²	1	1	yes	characteristic
162	C₃×#383	C₂²	1	1	yes	characteristic
163	C₃×#383	C₂²	1	1	yes	characteristic
164	C₃×#382	C₂²	1	1	yes	characteristic
165	C₃×#382	C₂²	1	1	yes	characteristic
166	C₃×#382	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×#380	C₂²	1	1	yes	characteristic
177	C₃×#380	C₂²	1	1	yes	characteristic
178	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
179	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
180	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
181	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
182	C₃×C₄×C₄⋊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	C₃×#376	C₂²	1	1	yes	characteristic
188	#2852	C₂×C₃	1	1	yes	characteristic
189	#2851	C₂×C₃	1	1	yes	characteristic, complemented
190	#2789	C₂×C₃	1	1	yes	characteristic, complemented
191	#2784	C₂×C₃	1	1	yes	characteristic
192	#2783	C₂×C₃	1	1	yes	characteristic, complemented
193	#2781	C₂×C₃	1	1	yes	characteristic
194	#2775	C₂×C₃	1	1	yes	characteristic, complemented
195	#2770	C₂×C₃	1	1	yes	characteristic, complemented
196	#2769	C₂×C₃	1	1	yes	characteristic, complemented
197	#2768	C₂×C₃	1	1	yes	characteristic, complemented
198	#2767	C₂×C₃	1	1	yes	characteristic, complemented
199	#2766	C₂×C₃	1	1	yes	characteristic, complemented
200	#2765	C₂×C₃	1	1	yes	characteristic, complemented
201	#2746	C₂×C₃	1	1	yes	characteristic
202	#2745	C₂×C₃	1	1	yes	characteristic, complemented
203	#2740	C₂×C₃	1	1	yes	characteristic
204	#2739	C₂×C₃	1	1	yes	characteristic, complemented
205	#2738	C₂×C₃	1	1	yes	characteristic, complemented
206	#2666	C₂×C₃	1	1	yes	characteristic, complemented
207	#2664	C₂×C₃	1	1	yes	characteristic, complemented
208	#2597	C₂×C₃	1	1	yes	characteristic
209	#2589	C₂×C₃	1	1	yes	characteristic, complemented
210	#2587	C₂×C₃	1	1	yes	characteristic, complemented
211	#2576	C₂×C₃	1	1	yes	characteristic
212	#2532	C₂×C₃	1	1	yes	characteristic, complemented
213	#2530	C₂×C₃	1	1	yes	characteristic, complemented
214	#2528	C₂×C₃	1	1	yes	characteristic, complemented
215	#2528	C₂×C₃	1	1	yes	characteristic, complemented
216	#2336	C₂×C₃	1	1	yes	characteristic, complemented
217	#2334	C₂×C₃	1	1	yes	characteristic, complemented
218	#2283	C₂×C₃	1	1	yes	characteristic, complemented
219	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
220	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
221	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
222	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
223	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
224	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
225	C₃×#126	—	2	4	no	—
226	C₃×#125	—	2	4	no	—
227	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₃×C₂²⋊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×C₄²	—	2	4	no	—
294	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
295	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
296	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
297	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
298	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
299	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
300	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
301	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
302	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
303	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
304	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
305	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
306	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
307	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
308	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
309	C₃×#95	C₂³	1	1	yes	characteristic
310	C₃×#95	C₂³	1	1	yes	characteristic
311	C₃×#95	C₂³	1	1	yes	characteristic
312	C₃×#95	C₂³	1	1	yes	characteristic
313	C₃×#95	C₂³	1	1	yes	characteristic
314	C₃×#95	C₂³	1	1	yes	characteristic
315	C₃×#95	C₂³	1	1	yes	characteristic
316	C₃×#95	C₂³	1	1	yes	characteristic
317	C₃×#95	C₂³	1	1	yes	characteristic
318	C₃×#95	C₂³	1	1	yes	characteristic
319	C₃×#95	C₂³	1	1	yes	characteristic
320	C₃×#95	C₂³	1	1	yes	characteristic
321	C₃×#95	C₂³	1	1	yes	characteristic
322	C₃×#95	C₂³	1	1	yes	characteristic
323	C₃×#95	C₂³	1	1	yes	characteristic
324	C₃×#95	C₂³	1	1	yes	characteristic
325	C₃×#95	C₂³	1	1	yes	characteristic
326	C₃×#95	C₂³	1	1	yes	characteristic
327	C₃×#95	C₂³	1	1	yes	characteristic
328	C₃×#95	C₂³	1	1	yes	characteristic
329	C₃×#95	C₂³	1	1	yes	characteristic
330	C₃×#95	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	C₂×#126	C₂²×C₃	1	1	yes	characteristic
378	C₂×#125	C₂²×C₃	1	1	yes	characteristic
379	C₂²×C₄²	C₂²×C₃	1	1	yes	characteristic
380	#401	C₂²×C₃	1	1	yes	characteristic
381	#401	C₂²×C₃	1	1	yes	characteristic
382	#401	C₂²×C₃	1	1	yes	characteristic
383	#400	C₂²×C₃	1	1	yes	characteristic
384	#400	C₂²×C₃	1	1	yes	characteristic
385	#400	C₂²×C₃	1	1	yes	characteristic
386	#400	C₂²×C₃	1	1	yes	characteristic
387	#400	C₂²×C₃	1	1	yes	characteristic
388	#400	C₂²×C₃	1	1	yes	characteristic
389	#400	C₂²×C₃	1	1	yes	characteristic
390	#400	C₂²×C₃	1	1	yes	characteristic
391	#400	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	#399	C₂²×C₃	1	1	yes	characteristic
397	#399	C₂²×C₃	1	1	yes	characteristic
398	#398	C₂²×C₃	1	1	yes	characteristic
399	#398	C₂²×C₃	1	1	yes	characteristic
400	#398	C₂²×C₃	1	1	yes	characteristic
401	#398	C₂²×C₃	1	1	yes	characteristic
402	#398	C₂²×C₃	1	1	yes	characteristic
403	#398	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	#398	C₂²×C₃	1	1	yes	characteristic
409	#398	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	#396	C₂²×C₃	1	1	yes	characteristic
418	#396	C₂²×C₃	1	1	yes	characteristic
419	#396	C₂²×C₃	1	1	yes	characteristic
420	#396	C₂²×C₃	1	1	yes	characteristic
421	#396	C₂²×C₃	1	1	yes	characteristic
422	#395	C₂²×C₃	1	1	yes	characteristic
423	#395	C₂²×C₃	1	1	yes	characteristic
424	#394	C₂²×C₃	1	1	yes	characteristic
425	#394	C₂²×C₃	1	1	yes	characteristic
426	#393	C₂²×C₃	1	1	yes	characteristic
427	#393	C₂²×C₃	1	1	yes	characteristic
428	#391	C₂²×C₃	1	1	yes	characteristic
429	#391	C₂²×C₃	1	1	yes	characteristic
430	#391	C₂²×C₃	1	1	yes	characteristic
431	#390	C₂²×C₃	1	1	yes	characteristic
432	#389	C₂²×C₃	1	1	yes	characteristic
433	#389	C₂²×C₃	1	1	yes	characteristic
434	#389	C₂²×C₃	1	1	yes	characteristic
435	#389	C₂²×C₃	1	1	yes	characteristic
436	#389	C₂²×C₃	1	1	yes	characteristic
437	#389	C₂²×C₃	1	1	yes	characteristic
438	#389	C₂²×C₃	1	1	yes	characteristic
439	#389	C₂²×C₃	1	1	yes	characteristic
440	#389	C₂²×C₃	1	1	yes	characteristic
441	#389	C₂²×C₃	1	1	yes	characteristic
442	#388	C₂²×C₃	1	1	yes	characteristic
443	#388	C₂²×C₃	1	1	yes	characteristic
444	#388	C₂²×C₃	1	1	yes	characteristic
445	#388	C₂²×C₃	1	1	yes	characteristic
446	#388	C₂²×C₃	1	1	yes	characteristic
447	#388	C₂²×C₃	1	1	yes	characteristic
448	#388	C₂²×C₃	1	1	yes	characteristic
449	#388	C₂²×C₃	1	1	yes	characteristic
450	#388	C₂²×C₃	1	1	yes	characteristic
451	#388	C₂²×C₃	1	1	yes	characteristic
452	#388	C₂²×C₃	1	1	yes	characteristic
453	#388	C₂²×C₃	1	1	yes	characteristic
454	#388	C₂²×C₃	1	1	yes	characteristic
455	#388	C₂²×C₃	1	1	yes	characteristic
456	#388	C₂²×C₃	1	1	yes	characteristic
457	#388	C₂²×C₃	1	1	yes	characteristic
458	#388	C₂²×C₃	1	1	yes	characteristic
459	#387	C₂²×C₃	1	1	yes	characteristic
460	#387	C₂²×C₃	1	1	yes	characteristic
461	#387	C₂²×C₃	1	1	yes	characteristic
462	#387	C₂²×C₃	1	1	yes	characteristic
463	#387	C₂²×C₃	1	1	yes	characteristic
464	#387	C₂²×C₃	1	1	yes	characteristic
465	#387	C₂²×C₃	1	1	yes	characteristic
466	#387	C₂²×C₃	1	1	yes	characteristic
467	#387	C₂²×C₃	1	1	yes	characteristic
468	#387	C₂²×C₃	1	1	yes	characteristic
469	#387	C₂²×C₃	1	1	yes	characteristic
470	#387	C₂²×C₃	1	1	yes	characteristic
471	#387	C₂²×C₃	1	1	yes	characteristic
472	#387	C₂²×C₃	1	1	yes	characteristic
473	#387	C₂²×C₃	1	1	yes	characteristic
474	#387	C₂²×C₃	1	1	yes	characteristic
475	#387	C₂²×C₃	1	1	yes	characteristic
476	#387	C₂²×C₃	1	1	yes	characteristic
477	#387	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	#386	C₂²×C₃	1	1	yes	characteristic
491	#386	C₂²×C₃	1	1	yes	characteristic
492	#386	C₂²×C₃	1	1	yes	characteristic
493	#386	C₂²×C₃	1	1	yes	characteristic
494	#385	C₂²×C₃	1	1	yes	characteristic
495	#385	C₂²×C₃	1	1	yes	characteristic
496	#385	C₂²×C₃	1	1	yes	characteristic
497	#385	C₂²×C₃	1	1	yes	characteristic
498	#385	C₂²×C₃	1	1	yes	characteristic
499	#385	C₂²×C₃	1	1	yes	characteristic
500	#385	C₂²×C₃	1	1	yes	characteristic
501	#385	C₂²×C₃	1	1	yes	characteristic
502	#385	C₂²×C₃	1	1	yes	characteristic
503	#385	C₂²×C₃	1	1	yes	characteristic
504	#383	C₂²×C₃	1	1	yes	characteristic
505	#383	C₂²×C₃	1	1	yes	characteristic
506	#383	C₂²×C₃	1	1	yes	characteristic
507	#383	C₂²×C₃	1	1	yes	characteristic
508	#382	C₂²×C₃	1	1	yes	characteristic
509	#382	C₂²×C₃	1	1	yes	characteristic
510	#382	C₂²×C₃	1	1	yes	characteristic
511	#382	C₂²×C₃	1	1	yes	characteristic
512	#382	C₂²×C₃	1	1	yes	characteristic
513	#382	C₂²×C₃	1	1	yes	characteristic
514	#381	C₂²×C₃	1	1	yes	characteristic
515	#381	C₂²×C₃	1	1	yes	characteristic
516	#381	C₂²×C₃	1	1	yes	characteristic
517	#380	C₂²×C₃	1	1	yes	characteristic
518	#380	C₂²×C₃	1	1	yes	characteristic
519	#380	C₂²×C₃	1	1	yes	characteristic
520	#380	C₂²×C₃	1	1	yes	characteristic
521	#380	C₂²×C₃	1	1	yes	characteristic
522	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
523	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
524	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
525	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
526	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
527	C₄×C₂²⋊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	#376	C₂²×C₃	1	1	yes	characteristic
531	#376	C₂²×C₃	1	1	yes	characteristic
532	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
533	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
534	C₂×C₃×Q₈	—	4	1	no	—
535	C₂×C₃×Q₈	—	4	1	no	—
536	C₂×C₃×Q₈	—	4	1	no	—
537	C₂×C₃×D₄	—	2	2	no	—
538	C₂×C₃×D₄	—	4	1	no	—
539	C₂×C₃×D₄	—	4	1	no	—
540	C₂²×C₃×C₄	—	2	2	no	—
541	C₂²×C₃×C₄	—	2	2	no	—
542	C₂²×C₃×C₄	—	2	2	no	—
543	C₂²×C₃×C₄	—	2	2	no	—
544	C₂²×C₃×C₄	—	4	1	no	—
545	C₂²×C₃×C₄	—	4	1	no	—
546	C₂²×C₃×C₄	—	4	1	no	—
547	C₂²×C₃×C₄	—	4	1	no	—
548	C₂²×C₃×C₄	—	4	1	no	—
549	C₂²×C₃×C₄	—	4	1	no	—
550	C₂²×C₃×C₄	—	4	1	no	—
551	C₂²×C₃×C₄	—	4	1	no	—
552	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
553	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
554	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
555	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
556	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
557	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
558	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
559	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
560	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
561	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
562	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
563	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
564	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
565	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
566	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
567	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
568	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
569	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
570	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
571	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
572	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
573	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
574	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
575	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
576	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
577	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
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	C₃×C₄⋊C₄	—	2	2	no	—
582	C₃×C₄⋊C₄	—	2	2	no	—
583	C₃×C₄⋊C₄	—	2	2	no	—
584	C₃×C₄⋊C₄	—	2	2	no	—
585	C₃×C₄⋊C₄	—	2	2	no	—
586	C₃×C₄⋊C₄	—	2	2	no	—
587	C₃×C₄⋊C₄	—	2	2	no	—
588	C₃×C₄⋊C₄	—	2	2	no	—
589	C₃×C₄⋊C₄	—	2	2	no	—
590	C₃×C₄⋊C₄	—	4	1	no	—
591	C₃×C₄⋊C₄	—	4	1	no	—
592	C₃×C₄⋊C₄	—	4	1	no	—
593	C₃×C₄⋊C₄	—	4	1	no	—
594	C₃×C₄⋊C₄	—	4	1	no	—
595	C₃×C₄⋊C₄	—	4	1	no	—
596	C₃×C₄⋊C₄	—	4	1	no	—
597	C₃×C₄⋊C₄	—	4	1	no	—
598	C₃×C₄⋊C₄	—	4	1	no	—
599	C₃×C₄⋊C₄	—	4	1	no	—
600	C₃×C₄⋊C₄	—	4	1	no	—
601	C₃×C₄⋊C₄	—	4	1	no	—
602	C₃×C₄⋊C₄	—	4	1	no	—
603	C₃×C₄⋊C₄	—	4	1	no	—
604	C₃×C₄⋊C₄	—	4	1	no	—
605	C₃×C₄⋊C₄	—	4	1	no	—
606	C₃×C₄⋊C₄	—	4	1	no	—
607	C₃×C₄⋊C₄	—	4	1	no	—
608	C₃×C₄⋊C₄	—	4	1	no	—
609	C₃×C₄⋊C₄	—	4	1	no	—
610	C₃×C₄⋊C₄	—	4	1	no	—
611	C₃×C₄⋊C₄	—	4	1	no	—
612	C₃×C₄⋊C₄	—	4	1	no	—
613	C₃×C₄⋊C₄	—	4	1	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×C₂²⋊C₄	—	2	2	no	—
624	C₃×C₂²⋊C₄	—	2	2	no	—
625	C₃×C₂²⋊C₄	—	2	2	no	—
626	C₃×C₂²⋊C₄	—	2	2	no	—
627	C₃×C₂²⋊C₄	—	2	2	no	—
628	C₃×C₂²⋊C₄	—	2	2	no	—
629	C₃×C₂²⋊C₄	—	4	1	no	—
630	C₃×C₂²⋊C₄	—	4	1	no	—
631	C₃×C₂²⋊C₄	—	4	1	no	—
632	C₃×C₂²⋊C₄	—	4	1	no	—
633	C₃×C₂²⋊C₄	—	4	1	no	—
634	C₃×C₂²⋊C₄	—	4	1	no	—
635	C₃×C₂²⋊C₄	—	4	1	no	—
636	C₃×C₂²⋊C₄	—	4	1	no	—
637	C₃×C₂²⋊C₄	—	4	1	no	—
638	C₃×C₂²⋊C₄	—	4	1	no	—
639	C₃×C₂²⋊C₄	—	4	1	no	—
640	C₃×C₂²⋊C₄	—	4	1	no	—
641	C₃×C₂²⋊C₄	—	4	1	no	—
642	C₃×C₂²⋊C₄	—	4	1	no	—
643	C₃×C₂²⋊C₄	—	4	1	no	—
644	C₃×C₂²⋊C₄	—	4	1	no	—
645	C₃×C₂²⋊C₄	—	4	1	no	—
646	C₃×C₂²⋊C₄	—	4	1	no	—
647	C₃×C₄²	—	2	2	no	—
648	C₃×C₄²	—	2	2	no	—
649	C₃×C₄²	—	2	2	no	—
650	C₃×C₄²	—	4	1	no	—
651	C₃×C₄²	—	4	1	no	—
652	C₃×C₄²	—	4	1	no	—
653	C₃×C₄²	—	4	1	no	—
654	C₃×C₄²	—	4	1	no	—
655	C₃×C₄²	—	4	1	no	—
656	C₃×C₄²	—	4	1	no	—
657	C₃×C₄²	—	4	1	no	—
658	C₃×C₄²	—	4	1	no	—
659	C₃×C₄²	—	4	1	no	—
660	C₃×C₄²	—	4	1	no	—
661	C₃×C₄²	#41	1	4	yes	—
662	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
663	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
664	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
665	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
666	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
667	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
668	#126	—	2	4	no	—
669	#125	—	2	4	no	—
670	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
671	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
672	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
673	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
674	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
675	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
676	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
677	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
678	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
679	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
680	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
681	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
682	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
683	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
684	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
685	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
686	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
687	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
688	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
689	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
690	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
691	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
692	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
693	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
694	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
695	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
696	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
697	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
698	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
699	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
700	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
701	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
702	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
703	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
704	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
705	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
706	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
707	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
708	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
709	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
710	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
711	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
712	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
713	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
714	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
715	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
716	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
717	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
718	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
719	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
720	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
721	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
722	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
723	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
724	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
725	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
726	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
727	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
728	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
729	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
730	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
731	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
732	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
733	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
734	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
735	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
736	C₂×C₄²	—	2	4	no	—
737	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
738	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
739	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
740	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
741	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
742	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
743	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
744	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
745	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
746	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
747	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
748	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
749	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
750	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
751	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
752	#95	C₂³×C₃	1	1	yes	characteristic
753	#95	C₂³×C₃	1	1	yes	characteristic
754	#95	C₂³×C₃	1	1	yes	characteristic
755	#95	C₂³×C₃	1	1	yes	characteristic
756	#95	C₂³×C₃	1	1	yes	characteristic
757	#95	C₂³×C₃	1	1	yes	characteristic
758	#95	C₂³×C₃	1	1	yes	characteristic
759	#95	C₂³×C₃	1	1	yes	characteristic
760	#95	C₂³×C₃	1	1	yes	characteristic
761	#95	C₂³×C₃	1	1	yes	characteristic
762	#95	C₂³×C₃	1	1	yes	characteristic
763	#95	C₂³×C₃	1	1	yes	characteristic
764	#95	C₂³×C₃	1	1	yes	characteristic
765	#95	C₂³×C₃	1	1	yes	characteristic
766	#95	C₂³×C₃	1	1	yes	characteristic
767	#95	C₂³×C₃	1	1	yes	characteristic
768	#95	C₂³×C₃	1	1	yes	characteristic
769	#95	C₂³×C₃	1	1	yes	characteristic
770	#95	C₂³×C₃	1	1	yes	characteristic
771	#95	C₂³×C₃	1	1	yes	characteristic
772	#95	C₂³×C₃	1	1	yes	characteristic
773	#95	C₂³×C₃	1	1	yes	characteristic
774	#95	C₂³×C₃	1	1	yes	characteristic
775	#95	C₂³×C₃	1	1	yes	characteristic
776	#95	C₂³×C₃	1	1	yes	characteristic
777	#95	C₂³×C₃	1	1	yes	characteristic
778	#95	C₂³×C₃	1	1	yes	characteristic
779	#95	C₂³×C₃	1	1	yes	characteristic
780	#95	C₂³×C₃	1	1	yes	characteristic
781	#95	C₂³×C₃	1	1	yes	characteristic
782	#95	C₂³×C₃	1	1	yes	characteristic
783	#95	C₂³×C₃	1	1	yes	characteristic
784	#95	C₂³×C₃	1	1	yes	characteristic
785	#95	C₂³×C₃	1	1	yes	characteristic
786	#95	C₂³×C₃	1	1	yes	characteristic
787	#95	C₂³×C₃	1	1	yes	characteristic
788	#95	C₂³×C₃	1	1	yes	characteristic
789	#95	C₂³×C₃	1	1	yes	characteristic
790	#95	C₂³×C₃	1	1	yes	characteristic
791	#95	C₂³×C₃	1	1	yes	characteristic
792	#95	C₂³×C₃	1	1	yes	characteristic
793	#95	C₂³×C₃	1	1	yes	characteristic
794	#95	C₂³×C₃	1	1	yes	characteristic
795	#95	C₂³×C₃	1	1	yes	characteristic
796	#95	C₂³×C₃	1	1	yes	characteristic
797	#95	C₂³×C₃	1	1	yes	characteristic
798	#95	C₂³×C₃	1	1	yes	characteristic
799	#95	C₂³×C₃	1	1	yes	characteristic
800	#95	C₂³×C₃	1	1	yes	characteristic
801	#95	C₂³×C₃	1	1	yes	characteristic
802	#95	C₂³×C₃	1	1	yes	characteristic
803	#95	C₂³×C₃	1	1	yes	characteristic
804	#95	C₂³×C₃	1	1	yes	characteristic
805	#95	C₂³×C₃	1	1	yes	characteristic
806	#95	C₂³×C₃	1	1	yes	characteristic
807	#95	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	C₂³×C₃	—	2	1	no	—
821	C₂³×C₃	—	2	1	no	—
822	C₂³×C₃	—	2	1	no	—
823	C₂³×C₃	—	2	1	no	—
824	C₂³×C₃	—	2	1	no	—
825	C₂³×C₃	—	2	1	no	—
826	C₂³×C₃	—	2	1	no	—
827	C₂³×C₃	—	2	1	no	—
828	C₂³×C₃	—	2	1	no	—
829	C₂³×C₃	—	2	1	no	—
830	C₂³×C₃	—	2	1	no	—
831	C₂³×C₃	—	2	1	no	—
832	C₂³×C₃	—	2	1	no	—
833	C₂³×C₃	2₋¹⁺⁴	1	2	yes	—
834	C₂³×C₃	C₂⁵	1	1	yes	characteristic
835	C₃×Q₈	—	8	2	no	—
836	C₃×D₄	—	8	2	no	—
837	C₂×C₃×C₄	—	2	1	no	—
838	C₂×C₃×C₄	—	2	1	no	—
839	C₂×C₃×C₄	—	2	1	no	—
840	C₂×C₃×C₄	—	2	1	no	—
841	C₂×C₃×C₄	—	2	1	no	—
842	C₂×C₃×C₄	—	2	1	no	—
843	C₂×C₃×C₄	—	2	1	no	—
844	C₂×C₃×C₄	—	2	1	no	—
845	C₂×C₃×C₄	—	2	1	no	—
846	C₂×C₃×C₄	—	2	1	no	—
847	C₂×C₃×C₄	—	2	1	no	—
848	C₂×C₃×C₄	—	2	1	no	—
849	C₂×C₃×C₄	—	2	1	no	—
850	C₂×C₃×C₄	—	2	1	no	—
851	C₂×C₃×C₄	—	2	1	no	—
852	C₂×C₃×C₄	—	2	1	no	—
853	C₂×C₃×C₄	—	2	1	no	—
854	C₂×C₃×C₄	—	2	1	no	—
855	C₂×C₃×C₄	—	2	1	no	—
856	C₂×C₃×C₄	—	2	1	no	—
857	C₂×C₃×C₄	—	2	1	no	—
858	C₂×C₃×C₄	—	2	1	no	—
859	C₂×C₃×C₄	—	2	1	no	—
860	C₂×C₃×C₄	—	2	1	no	—
861	C₂×C₃×C₄	—	2	1	no	—
862	C₂×C₃×C₄	—	2	1	no	—
863	C₂×C₃×C₄	—	2	1	no	—
864	C₂×C₃×C₄	—	2	1	no	—
865	C₂×C₃×C₄	—	2	1	no	—
866	C₂×C₃×C₄	—	2	1	no	—
867	C₂×C₃×C₄	—	2	1	no	—
868	C₂×C₃×C₄	—	2	1	no	—
869	C₂×C₃×C₄	—	2	1	no	—
870	C₂×C₃×C₄	—	2	1	no	—
871	C₂×C₃×C₄	—	2	1	no	—
872	C₂×C₃×C₄	—	2	1	no	—
873	C₂×C₃×C₄	—	2	1	no	—
874	C₂×C₃×C₄	—	2	1	no	—
875	C₂×C₃×C₄	—	2	1	no	—
876	C₂×C₃×C₄	—	2	1	no	—
877	C₂×C₃×C₄	—	2	1	no	—
878	C₂×C₃×C₄	—	2	1	no	—
879	C₂×C₃×C₄	—	2	1	no	—
880	C₂×C₃×C₄	—	2	1	no	—
881	C₂×C₃×C₄	—	2	1	no	—
882	C₂×C₃×C₄	—	2	1	no	—
883	C₂×C₃×C₄	—	2	1	no	—
884	C₂×C₃×C₄	—	2	1	no	—
885	C₂×C₃×C₄	—	2	1	no	—
886	C₂×C₃×C₄	—	2	1	no	—
887	C₂×C₃×C₄	—	2	1	no	—
888	C₂×C₃×C₄	—	2	1	no	—
889	C₂×C₃×C₄	—	2	1	no	—
890	C₂×C₃×C₄	—	2	1	no	—
891	C₂×C₃×C₄	—	2	1	no	—
892	C₂×C₃×C₄	—	2	1	no	—
893	C₂×C₃×C₄	—	2	1	no	—
894	C₂×C₃×C₄	—	2	1	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	—	4	4	no	—
922	C₂×C₃×C₄	—	4	4	no	—
923	C₂×C₃×C₄	—	4	4	no	—
924	C₂×C₃×C₄	—	8	2	no	—
925	C₂×C₃×C₄	C₂×#41	1	2	yes	—
926	C₂×C₃×C₄	C₂×#41	1	2	yes	—
927	C₂×C₃×C₄	C₂×#41	1	2	yes	—
928	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
929	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
930	C₂×Q₈	—	4	1	no	—
931	C₂×Q₈	—	4	1	no	—
932	C₂×Q₈	—	4	1	no	—
933	C₂×D₄	—	2	2	no	—
934	C₂×D₄	—	4	1	no	—
935	C₂×D₄	—	4	1	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	—	2	2	no	—
940	C₂²×C₄	—	4	1	no	—
941	C₂²×C₄	—	4	1	no	—
942	C₂²×C₄	—	4	1	no	—
943	C₂²×C₄	—	4	1	no	—
944	C₂²×C₄	—	4	1	no	—
945	C₂²×C₄	—	4	1	no	—
946	C₂²×C₄	—	4	1	no	—
947	C₂²×C₄	—	4	1	no	—
948	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
949	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
950	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
951	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
952	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
953	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
954	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
955	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
956	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
957	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
958	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
959	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
960	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
961	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
962	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
963	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
964	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
965	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
966	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
967	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
968	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
969	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
970	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
971	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
972	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
973	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
974	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
975	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
976	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	4	1	no	—
987	C₄⋊C₄	—	4	1	no	—
988	C₄⋊C₄	—	4	1	no	—
989	C₄⋊C₄	—	4	1	no	—
990	C₄⋊C₄	—	4	1	no	—
991	C₄⋊C₄	—	4	1	no	—
992	C₄⋊C₄	—	4	1	no	—
993	C₄⋊C₄	—	4	1	no	—
994	C₄⋊C₄	—	4	1	no	—
995	C₄⋊C₄	—	4	1	no	—
996	C₄⋊C₄	—	4	1	no	—
997	C₄⋊C₄	—	4	1	no	—
998	C₄⋊C₄	—	4	1	no	—
999	C₄⋊C₄	—	4	1	no	—
1000	C₄⋊C₄	—	4	1	no	—
1001	C₄⋊C₄	—	4	1	no	—
1002	C₄⋊C₄	—	4	1	no	—
1003	C₄⋊C₄	—	4	1	no	—
1004	C₄⋊C₄	—	4	1	no	—
1005	C₄⋊C₄	—	4	1	no	—
1006	C₄⋊C₄	—	4	1	no	—
1007	C₄⋊C₄	—	4	1	no	—
1008	C₄⋊C₄	—	4	1	no	—
1009	C₄⋊C₄	—	4	1	no	—
1010	C₄⋊C₄	—	4	1	no	—
1011	C₄⋊C₄	—	4	1	no	—
1012	C₄⋊C₄	—	4	1	no	—
1013	C₄⋊C₄	—	4	1	no	—
1014	C₄⋊C₄	—	4	1	no	—
1015	C₄⋊C₄	—	4	1	no	—
1016	C₄⋊C₄	—	4	1	no	—
1017	C₄⋊C₄	—	4	1	no	—
1018	C₄⋊C₄	—	4	1	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	2	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	4	1	no	—
1026	C₂²⋊C₄	—	4	1	no	—
1027	C₂²⋊C₄	—	4	1	no	—
1028	C₂²⋊C₄	—	4	1	no	—
1029	C₂²⋊C₄	—	4	1	no	—
1030	C₂²⋊C₄	—	4	1	no	—
1031	C₂²⋊C₄	—	4	1	no	—
1032	C₂²⋊C₄	—	4	1	no	—
1033	C₂²⋊C₄	—	4	1	no	—
1034	C₂²⋊C₄	—	4	1	no	—
1035	C₂²⋊C₄	—	4	1	no	—
1036	C₂²⋊C₄	—	4	1	no	—
1037	C₂²⋊C₄	—	4	1	no	—
1038	C₂²⋊C₄	—	4	1	no	—
1039	C₂²⋊C₄	—	4	1	no	—
1040	C₂²⋊C₄	—	4	1	no	—
1041	C₂²⋊C₄	—	4	1	no	—
1042	C₂²⋊C₄	—	4	1	no	—
1043	C₄²	—	2	2	no	—
1044	C₄²	—	2	2	no	—
1045	C₄²	—	2	2	no	—
1046	C₄²	—	4	1	no	—
1047	C₄²	—	4	1	no	—
1048	C₄²	—	4	1	no	—
1049	C₄²	—	4	1	no	—
1050	C₄²	—	4	1	no	—
1051	C₄²	—	4	1	no	—
1052	C₄²	—	4	1	no	—
1053	C₄²	—	4	1	no	—
1054	C₄²	—	4	1	no	—
1055	C₄²	—	4	1	no	—
1056	C₄²	—	4	1	no	—
1057	C₄²	C₃×#41	1	4	yes	—
1058	C₂²×C₃	—	2	2	no	—
1059	C₂²×C₃	—	2	2	no	—
1060	C₂²×C₃	—	2	2	no	—
1061	C₂²×C₃	—	4	1	no	—
1062	C₂²×C₃	—	4	1	no	—
1063	C₂²×C₃	—	4	1	no	—
1064	C₂²×C₃	—	4	1	no	—
1065	C₂²×C₃	—	4	1	no	—
1066	C₂²×C₃	—	4	1	no	—
1067	C₂²×C₃	—	4	1	no	—
1068	C₂²×C₃	—	4	1	no	—
1069	C₂²×C₃	—	4	1	no	—
1070	C₂²×C₃	—	4	1	no	—
1071	C₂²×C₃	—	4	1	no	—
1072	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1073	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1074	C₂²×C₃	#585	1	1	yes	characteristic
1075	C₂²×C₃	#585	1	1	yes	characteristic
1076	C₂²×C₃	#585	1	1	yes	characteristic
1077	C₂²×C₃	#585	1	1	yes	characteristic
1078	C₂²×C₃	#585	1	1	yes	characteristic
1079	C₃×C₄	—	2	2	no	—
1080	C₃×C₄	—	2	2	no	—
1081	C₃×C₄	—	2	2	no	—
1082	C₃×C₄	—	4	1	no	—
1083	C₃×C₄	—	4	1	no	—
1084	C₃×C₄	—	4	1	no	—
1085	C₃×C₄	—	4	1	no	—
1086	C₃×C₄	—	4	1	no	—
1087	C₃×C₄	—	4	1	no	—
1088	C₃×C₄	—	4	1	no	—
1089	C₃×C₄	—	4	1	no	—
1090	C₃×C₄	—	4	1	no	—
1091	C₃×C₄	—	4	1	no	—
1092	C₃×C₄	—	4	1	no	—
1093	C₃×C₄	—	4	1	no	—
1094	C₃×C₄	—	4	1	no	—
1095	C₃×C₄	—	4	1	no	—
1096	C₃×C₄	—	4	1	no	—
1097	C₃×C₄	—	4	1	no	—
1098	C₃×C₄	—	4	1	no	—
1099	C₃×C₄	—	4	1	no	—
1100	C₃×C₄	—	4	1	no	—
1101	C₃×C₄	—	4	1	no	—
1102	C₃×C₄	—	4	1	no	—
1103	C₃×C₄	—	4	1	no	—
1104	C₃×C₄	—	4	1	no	—
1105	C₃×C₄	—	4	1	no	—
1106	C₃×C₄	—	4	1	no	—
1107	C₃×C₄	—	4	1	no	—
1108	C₂³	—	2	1	no	—
1109	C₂³	—	2	1	no	—
1110	C₂³	—	2	1	no	—
1111	C₂³	—	2	1	no	—
1112	C₂³	—	2	1	no	—
1113	C₂³	—	2	1	no	—
1114	C₂³	—	2	1	no	—
1115	C₂³	—	2	1	no	—
1116	C₂³	—	2	1	no	—
1117	C₂³	—	2	1	no	—
1118	C₂³	—	2	1	no	—
1119	C₂³	—	2	1	no	—
1120	C₂³	—	2	1	no	—
1121	C₂³	C₃×2₋¹⁺⁴	1	2	yes	—
1122	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1123	Q₈	—	8	2	no	—
1124	D₄	—	8	2	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	4	4	no	—
1210	C₂×C₄	—	4	4	no	—
1211	C₂×C₄	—	4	4	no	—
1212	C₂×C₄	—	8	2	no	—
1213	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1214	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1215	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1216	C₂×C₃	—	4	2	no	—
1217	C₂×C₃	—	8	1	no	—
1218	C₂×C₃	#3455	1	1	yes	characteristic
1219	C₂×C₃	#3493	1	1	yes	characteristic
1220	C₂×C₃	#3495	1	1	yes	characteristic
1221	C₂×C₃	#3553	1	1	yes	characteristic
1222	C₂×C₃	#3564	1	1	yes	characteristic
1223	C₂×C₃	#3566	1	1	yes	characteristic
1224	C₂×C₃	#3566	1	1	yes	characteristic
1225	C₂²	—	2	2	no	—
1226	C₂²	—	2	2	no	—
1227	C₂²	—	2	2	no	—
1228	C₂²	—	4	1	no	—
1229	C₂²	—	4	1	no	—
1230	C₂²	—	4	1	no	—
1231	C₂²	—	4	1	no	—
1232	C₂²	—	4	1	no	—
1233	C₂²	—	4	1	no	—
1234	C₂²	—	4	1	no	—
1235	C₂²	—	4	1	no	—
1236	C₂²	—	4	1	no	—
1237	C₂²	—	4	1	no	—
1238	C₂²	—	4	1	no	—
1239	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1240	C₂²	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1241	C₂²	C₃×#585	1	1	yes	characteristic
1242	C₂²	C₃×#585	1	1	yes	characteristic
1243	C₂²	C₃×#585	1	1	yes	characteristic
1244	C₂²	C₃×#585	1	1	yes	characteristic
1245	C₂²	C₃×#585	1	1	yes	characteristic
1246	C₄	—	2	2	no	—
1247	C₄	—	2	2	no	—
1248	C₄	—	2	2	no	—
1249	C₄	—	4	1	no	—
1250	C₄	—	4	1	no	—
1251	C₄	—	4	1	no	—
1252	C₄	—	4	1	no	—
1253	C₄	—	4	1	no	—
1254	C₄	—	4	1	no	—
1255	C₄	—	4	1	no	—
1256	C₄	—	4	1	no	—
1257	C₄	—	4	1	no	—
1258	C₄	—	4	1	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	1	no	—
1261	C₄	—	4	1	no	—
1262	C₄	—	4	1	no	—
1263	C₄	—	4	1	no	—
1264	C₄	—	4	1	no	—
1265	C₄	—	4	1	no	—
1266	C₄	—	4	1	no	—
1267	C₄	—	4	1	no	—
1268	C₄	—	4	1	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	1	no	—
1271	C₄	—	4	1	no	—
1272	C₄	—	4	1	no	—
1273	C₄	—	4	1	no	—
1274	C₄	—	4	1	no	—
1275	C₃	#37128	1	1	yes	characteristic, direct product factor, Sylow
1276	C₂	—	4	2	no	—
1277	C₂	—	8	1	no	—
1278	C₂	C₃×#3455	1	1	yes	characteristic
1279	C₂	C₃×#3493	1	1	yes	characteristic
1280	C₂	C₃×#3495	1	1	yes	characteristic
1281	C₂	C₃×#3553	1	1	yes	characteristic
1282	C₂	C₃×#3564	1	1	yes	characteristic
1283	C₂	C₃×#3566	1	1	yes	characteristic
1284	C₂	C₃×#3566	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₂²×C₃×D₄	C₂³
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
2. C₃×#2851	C₂	semidirect
3. C₃×#2789	C₂	semidirect
5. C₃×#2783	C₂	semidirect
7. C₃×#2775	C₂	semidirect
8. C₃×#2770	C₂	semidirect
9. C₃×#2769	C₂	semidirect
10. C₃×#2768	C₂	semidirect
11. C₃×#2767	C₂	semidirect
12. C₃×#2766	C₂	semidirect
13. C₃×#2765	C₂	semidirect
15. C₃×#2745	C₂	semidirect
17. C₃×#2739	C₂	semidirect
18. C₃×#2738	C₂	semidirect
19. C₃×#2666	C₂	semidirect
20. C₃×#2664	C₂	semidirect
22. C₃×#2589	C₂	semidirect
23. C₃×#2587	C₂	semidirect
25. C₃×#2532	C₂	semidirect
26. C₃×#2530	C₂	semidirect
27. C₃×#2528	C₂	semidirect
28. C₃×#2528	C₂	semidirect
29. C₃×#2336	C₂	semidirect
30. C₃×#2334	C₂	semidirect
31. C₃×#2283	C₂	semidirect
32. #37128	C₃	direct (N × H)
189. #2851	C₂×C₃	semidirect
190. #2789	C₂×C₃	semidirect
192. #2783	C₂×C₃	semidirect
194. #2775	C₂×C₃	semidirect
195. #2770	C₂×C₃	semidirect
196. #2769	C₂×C₃	semidirect
197. #2768	C₂×C₃	semidirect
198. #2767	C₂×C₃	semidirect
199. #2766	C₂×C₃	semidirect
200. #2765	C₂×C₃	semidirect
202. #2745	C₂×C₃	semidirect
204. #2739	C₂×C₃	semidirect
205. #2738	C₂×C₃	semidirect
206. #2666	C₂×C₃	semidirect
207. #2664	C₂×C₃	semidirect
209. #2589	C₂×C₃	semidirect
210. #2587	C₂×C₃	semidirect
212. #2532	C₂×C₃	semidirect
213. #2530	C₂×C₃	semidirect
214. #2528	C₂×C₃	semidirect
215. #2528	C₂×C₃	semidirect
216. #2336	C₂×C₃	semidirect
217. #2334	C₂×C₃	semidirect
218. #2283	C₂×C₃	semidirect
1275. C₃	#37128	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×#2852	2
C₃×#2851	2
C₃×#2789	2
C₃×#2784	2
C₃×#2783	2
C₃×#2781	2
C₃×#2775	2
C₃×#2770	2
C₃×#2769	2
C₃×#2768	2
C₃×#2767	2
C₃×#2766	2
C₃×#2765	2
C₃×#2746	2
C₃×#2745	2
C₃×#2740	2
C₃×#2739	2
C₃×#2738	2
C₃×#2666	2
C₃×#2664	2
C₃×#2597	2
C₃×#2589	2
C₃×#2587	2
C₃×#2576	2
C₃×#2532	2
C₃×#2530	2
C₃×#2528	2
C₃×#2336	2
C₃×#2334	2
C₃×#2283	2
#37128	3

Subgroups — C3×#37128 #10655735

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#37128 #10655735