Subgroups — C₃×#35862 #10654469

Order 768.

1808 conjugacy classes of subgroups.

The subgroup lattice has 1400 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2667	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#2666	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2646	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2612	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2606	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2590	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2589	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2588	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2587	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2549	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2549	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2507	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2451	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2450	C₂	1	1	yes	maximal, characteristic
15	C₃×#2449	C₂	1	1	yes	maximal, characteristic
16	C₃×#2449	C₂	1	1	yes	maximal, characteristic
17	C₃×#2449	C₂	1	1	yes	maximal, characteristic
18	C₃×#2440	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2438	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2429	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2423	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2399	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2396	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₃×#398	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#2368	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2360	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#2360	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2360	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#2353	C₂	1	1	yes	maximal, characteristic
30	C₃×#2352	C₂	1	1	yes	maximal, characteristic
31	C₃×#2275	C₂	1	1	yes	maximal, characteristic
32	#35862	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
38	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
39	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
40	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
41	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
42	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
43	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
44	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
45	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
46	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
47	C₂×C₃×#117	C₂²	1	1	yes	characteristic
48	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
49	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
50	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
51	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
52	C₃×#400	C₂²	1	1	yes	characteristic
53	C₃×#400	C₂²	1	1	yes	characteristic
54	C₃×#400	C₂²	1	1	yes	characteristic
55	C₃×#400	C₂²	1	1	yes	characteristic
56	C₃×#400	C₂²	1	1	yes	characteristic
57	C₃×#399	C₂²	1	1	yes	characteristic
58	C₃×#399	C₂²	1	1	yes	characteristic
59	C₃×#399	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×#398	C₂²	1	1	yes	characteristic
67	C₃×#398	C₂²	1	1	yes	characteristic
68	C₃×#398	C₂²	1	1	yes	characteristic
69	C₃×#398	C₂²	1	1	yes	characteristic
70	C₃×#398	C₂²	1	1	yes	characteristic
71	C₃×#398	C₂²	1	1	yes	characteristic
72	C₃×#398	C₂²	1	1	yes	characteristic
73	C₃×#398	C₂²	1	1	yes	characteristic
74	C₃×#398	C₂²	1	1	yes	characteristic
75	C₃×#398	C₂²	1	1	yes	characteristic
76	C₃×#398	C₂²	1	1	yes	characteristic
77	C₃×#398	C₂²	1	1	yes	characteristic
78	C₃×#398	C₂²	1	1	yes	characteristic
79	C₃×#398	C₂²	1	1	yes	characteristic
80	C₃×#396	C₂²	1	1	yes	characteristic
81	C₃×#396	C₂²	1	1	yes	characteristic
82	C₃×#396	C₂²	1	1	yes	characteristic
83	C₃×#396	C₂²	1	1	yes	characteristic
84	C₃×#395	C₂²	1	1	yes	characteristic
85	C₃×#395	C₂²	1	1	yes	characteristic
86	C₃×#395	C₂²	1	1	yes	characteristic
87	C₃×#395	C₂²	1	1	yes	characteristic
88	C₃×#395	C₂²	1	1	yes	characteristic
89	C₃×#395	C₂²	1	1	yes	characteristic
90	C₃×#395	C₂²	1	1	yes	characteristic
91	C₃×#393	C₂²	1	1	yes	characteristic
92	C₃×#391	C₂²	1	1	yes	characteristic
93	C₃×#391	C₂²	1	1	yes	characteristic
94	C₃×#391	C₂²	1	1	yes	characteristic
95	C₃×#391	C₂²	1	1	yes	characteristic
96	C₃×#391	C₂²	1	1	yes	characteristic
97	C₃×#391	C₂²	1	1	yes	characteristic
98	C₃×#391	C₂²	1	1	yes	characteristic
99	C₃×#391	C₂²	1	1	yes	characteristic
100	C₃×#389	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×#389	C₂²	1	1	yes	characteristic
109	C₃×#389	C₂²	1	1	yes	characteristic
110	C₃×#389	C₂²	1	1	yes	characteristic
111	C₃×#389	C₂²	1	1	yes	characteristic
112	C₃×#389	C₂²	1	1	yes	characteristic
113	C₃×#389	C₂²	1	1	yes	characteristic
114	C₃×#389	C₂²	1	1	yes	characteristic
115	C₃×#389	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×#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×#386	C₂²	1	1	yes	characteristic
139	C₃×#386	C₂²	1	1	yes	characteristic
140	C₃×#386	C₂²	1	1	yes	characteristic
141	C₃×#386	C₂²	1	1	yes	characteristic
142	C₃×#385	C₂²	1	1	yes	characteristic
143	C₃×#385	C₂²	1	1	yes	characteristic
144	C₃×#385	C₂²	1	1	yes	characteristic
145	C₃×#385	C₂²	1	1	yes	characteristic
146	C₃×#385	C₂²	1	1	yes	characteristic
147	C₃×#385	C₂²	1	1	yes	characteristic
148	C₃×#385	C₂²	1	1	yes	characteristic
149	C₃×#385	C₂²	1	1	yes	characteristic
150	C₃×#385	C₂²	1	1	yes	characteristic
151	C₃×#385	C₂²	1	1	yes	characteristic
152	C₃×#385	C₂²	1	1	yes	characteristic
153	C₃×#385	C₂²	1	1	yes	characteristic
154	C₃×#384	C₂²	1	1	yes	characteristic
155	C₃×#383	C₂²	1	1	yes	characteristic
156	C₃×#382	C₂²	1	1	yes	characteristic
157	C₃×#381	C₂²	1	1	yes	characteristic
158	C₃×#380	C₂²	1	1	yes	characteristic
159	C₃×#380	C₂²	1	1	yes	characteristic
160	C₃×#380	C₂²	1	1	yes	characteristic
161	C₃×#380	C₂²	1	1	yes	characteristic
162	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
163	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
164	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
165	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
166	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
167	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
168	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
169	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
170	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
171	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
172	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
174	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
175	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
176	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
177	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
178	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
179	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
181	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
182	C₃×#376	C₂²	1	1	yes	characteristic
183	C₃×#376	C₂²	1	1	yes	characteristic
184	C₂×C₃×#95	C₂²	1	1	yes	characteristic
185	C₂×C₃×#95	C₂²	1	1	yes	characteristic
186	C₂×C₃×#95	C₂²	1	1	yes	characteristic
187	C₂×C₃×#95	C₂²	1	1	yes	characteristic
188	#2667	C₂×C₃	1	1	yes	characteristic, complemented
189	#2666	C₂×C₃	1	1	yes	characteristic, complemented
190	#2646	C₂×C₃	1	1	yes	characteristic, complemented
191	#2612	C₂×C₃	1	1	yes	characteristic, complemented
192	#2606	C₂×C₃	1	1	yes	characteristic, complemented
193	#2590	C₂×C₃	1	1	yes	characteristic, complemented
194	#2589	C₂×C₃	1	1	yes	characteristic, complemented
195	#2588	C₂×C₃	1	1	yes	characteristic, complemented
196	#2587	C₂×C₃	1	1	yes	characteristic, complemented
197	#2549	C₂×C₃	1	1	yes	characteristic, complemented
198	#2549	C₂×C₃	1	1	yes	characteristic, complemented
199	#2507	C₂×C₃	1	1	yes	characteristic, complemented
200	#2451	C₂×C₃	1	1	yes	characteristic, complemented
201	#2450	C₂×C₃	1	1	yes	characteristic
202	#2449	C₂×C₃	1	1	yes	characteristic
203	#2449	C₂×C₃	1	1	yes	characteristic
204	#2449	C₂×C₃	1	1	yes	characteristic
205	#2440	C₂×C₃	1	1	yes	characteristic, complemented
206	#2438	C₂×C₃	1	1	yes	characteristic, complemented
207	#2429	C₂×C₃	1	1	yes	characteristic, complemented
208	#2423	C₂×C₃	1	1	yes	characteristic, complemented
209	#2399	C₂×C₃	1	1	yes	characteristic, complemented
210	#2396	C₂×C₃	1	1	yes	characteristic, complemented
211	C₂×#398	C₂×C₃	1	1	yes	characteristic, complemented
212	#2368	C₂×C₃	1	1	yes	characteristic, complemented
213	#2360	C₂×C₃	1	1	yes	characteristic, complemented
214	#2360	C₂×C₃	1	1	yes	characteristic, complemented
215	#2360	C₂×C₃	1	1	yes	characteristic, complemented
216	#2353	C₂×C₃	1	1	yes	characteristic
217	#2352	C₂×C₃	1	1	yes	characteristic
218	#2275	C₂×C₃	1	1	yes	characteristic
219	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
220	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
221	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
222	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
223	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
224	C₂³×C₃×C₄	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	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
232	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
233	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
234	C₃×C₄⋊Q₈	—	4	2	no	—
235	C₃×C₂²⋊Q₈	—	2	4	no	—
236	C₃×C₂²⋊Q₈	—	2	4	no	—
237	C₃×C₂²⋊Q₈	—	2	4	no	—
238	C₃×C₂²⋊Q₈	—	2	4	no	—
239	C₃×C₂²⋊Q₈	—	4	2	no	—
240	C₃×C₂²⋊Q₈	—	4	2	no	—
241	C₃×C₂²⋊Q₈	—	4	2	no	—
242	C₃×C₄×Q₈	—	4	2	no	—
243	C₃×C₄×Q₈	—	4	2	no	—
244	C₃×C₄×Q₈	—	4	2	no	—
245	C₃×C₄×D₄	—	2	4	no	—
246	C₃×C₄×D₄	—	2	4	no	—
247	C₃×C₄×D₄	Q₈	1	8	yes	complemented
248	C₃×#117	—	4	2	no	—
249	C₂×C₃×C₄⋊C₄	—	4	2	no	—
250	C₂×C₃×C₄⋊C₄	—	4	2	no	—
251	C₂×C₃×C₄⋊C₄	—	4	2	no	—
252	C₂×C₃×C₄⋊C₄	—	4	2	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₃×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	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
332	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
333	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
334	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
335	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
336	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
337	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
338	C₂×C₃×C₄²	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	C₃×#95	C₂³	1	1	yes	characteristic
384	C₃×#95	C₂³	1	1	yes	characteristic
385	C₃×#95	C₂³	1	1	yes	characteristic
386	C₃×#95	C₂³	1	1	yes	characteristic
387	C₃×#95	C₂³	1	1	yes	characteristic
388	C₃×#95	C₂³	1	1	yes	characteristic
389	C₃×#95	C₂³	1	1	yes	characteristic
390	C₃×#95	C₂³	1	1	yes	characteristic
391	C₃×#95	C₂³	1	1	yes	characteristic
392	C₃×#95	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
394	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
395	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
396	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
397	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
398	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
399	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
400	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
401	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
402	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
403	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
404	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
405	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
406	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
407	C₂×#117	C₂²×C₃	1	1	yes	characteristic
408	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
409	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
410	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
411	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
412	#400	C₂²×C₃	1	1	yes	characteristic
413	#400	C₂²×C₃	1	1	yes	characteristic
414	#400	C₂²×C₃	1	1	yes	characteristic
415	#400	C₂²×C₃	1	1	yes	characteristic
416	#400	C₂²×C₃	1	1	yes	characteristic
417	#399	C₂²×C₃	1	1	yes	characteristic
418	#399	C₂²×C₃	1	1	yes	characteristic
419	#399	C₂²×C₃	1	1	yes	characteristic
420	#398	C₂²×C₃	1	1	yes	characteristic
421	#398	C₂²×C₃	1	1	yes	characteristic
422	#398	C₂²×C₃	1	1	yes	characteristic
423	#398	C₂²×C₃	1	1	yes	characteristic
424	#398	C₂²×C₃	1	1	yes	characteristic
425	#398	C₂²×C₃	1	1	yes	characteristic
426	#398	C₂²×C₃	1	1	yes	characteristic
427	#398	C₂²×C₃	1	1	yes	characteristic
428	#398	C₂²×C₃	1	1	yes	characteristic
429	#398	C₂²×C₃	1	1	yes	characteristic
430	#398	C₂²×C₃	1	1	yes	characteristic
431	#398	C₂²×C₃	1	1	yes	characteristic
432	#398	C₂²×C₃	1	1	yes	characteristic
433	#398	C₂²×C₃	1	1	yes	characteristic
434	#398	C₂²×C₃	1	1	yes	characteristic
435	#398	C₂²×C₃	1	1	yes	characteristic
436	#398	C₂²×C₃	1	1	yes	characteristic
437	#398	C₂²×C₃	1	1	yes	characteristic
438	#398	C₂²×C₃	1	1	yes	characteristic
439	#398	C₂²×C₃	1	1	yes	characteristic
440	#396	C₂²×C₃	1	1	yes	characteristic
441	#396	C₂²×C₃	1	1	yes	characteristic
442	#396	C₂²×C₃	1	1	yes	characteristic
443	#396	C₂²×C₃	1	1	yes	characteristic
444	#395	C₂²×C₃	1	1	yes	characteristic
445	#395	C₂²×C₃	1	1	yes	characteristic
446	#395	C₂²×C₃	1	1	yes	characteristic
447	#395	C₂²×C₃	1	1	yes	characteristic
448	#395	C₂²×C₃	1	1	yes	characteristic
449	#395	C₂²×C₃	1	1	yes	characteristic
450	#395	C₂²×C₃	1	1	yes	characteristic
451	#393	C₂²×C₃	1	1	yes	characteristic
452	#391	C₂²×C₃	1	1	yes	characteristic
453	#391	C₂²×C₃	1	1	yes	characteristic
454	#391	C₂²×C₃	1	1	yes	characteristic
455	#391	C₂²×C₃	1	1	yes	characteristic
456	#391	C₂²×C₃	1	1	yes	characteristic
457	#391	C₂²×C₃	1	1	yes	characteristic
458	#391	C₂²×C₃	1	1	yes	characteristic
459	#391	C₂²×C₃	1	1	yes	characteristic
460	#389	C₂²×C₃	1	1	yes	characteristic
461	#389	C₂²×C₃	1	1	yes	characteristic
462	#389	C₂²×C₃	1	1	yes	characteristic
463	#389	C₂²×C₃	1	1	yes	characteristic
464	#389	C₂²×C₃	1	1	yes	characteristic
465	#389	C₂²×C₃	1	1	yes	characteristic
466	#389	C₂²×C₃	1	1	yes	characteristic
467	#389	C₂²×C₃	1	1	yes	characteristic
468	#389	C₂²×C₃	1	1	yes	characteristic
469	#389	C₂²×C₃	1	1	yes	characteristic
470	#389	C₂²×C₃	1	1	yes	characteristic
471	#389	C₂²×C₃	1	1	yes	characteristic
472	#389	C₂²×C₃	1	1	yes	characteristic
473	#389	C₂²×C₃	1	1	yes	characteristic
474	#389	C₂²×C₃	1	1	yes	characteristic
475	#389	C₂²×C₃	1	1	yes	characteristic
476	#388	C₂²×C₃	1	1	yes	characteristic
477	#388	C₂²×C₃	1	1	yes	characteristic
478	#388	C₂²×C₃	1	1	yes	characteristic
479	#388	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	#386	C₂²×C₃	1	1	yes	characteristic
499	#386	C₂²×C₃	1	1	yes	characteristic
500	#386	C₂²×C₃	1	1	yes	characteristic
501	#386	C₂²×C₃	1	1	yes	characteristic
502	#385	C₂²×C₃	1	1	yes	characteristic
503	#385	C₂²×C₃	1	1	yes	characteristic
504	#385	C₂²×C₃	1	1	yes	characteristic
505	#385	C₂²×C₃	1	1	yes	characteristic
506	#385	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	#382	C₂²×C₃	1	1	yes	characteristic
517	#381	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×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
528	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
529	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
530	C₄×C₄⋊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	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
537	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
538	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
539	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
540	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
541	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
542	#376	C₂²×C₃	1	1	yes	characteristic
543	#376	C₂²×C₃	1	1	yes	characteristic
544	C₂×#95	C₂²×C₃	1	1	yes	characteristic
545	C₂×#95	C₂²×C₃	1	1	yes	characteristic
546	C₂×#95	C₂²×C₃	1	1	yes	characteristic
547	C₂×#95	C₂²×C₃	1	1	yes	characteristic
548	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
549	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
550	C₂×C₃×Q₈	—	2	2	no	—
551	C₂×C₃×Q₈	—	2	2	no	—
552	C₂×C₃×Q₈	—	2	2	no	—
553	C₂×C₃×Q₈	—	2	2	no	—
554	C₂×C₃×Q₈	—	2	2	no	—
555	C₂×C₃×Q₈	—	2	2	no	—
556	C₂×C₃×Q₈	—	2	2	no	—
557	C₂×C₃×Q₈	—	4	1	no	—
558	C₂×C₃×Q₈	—	4	1	no	—
559	C₂×C₃×Q₈	—	4	1	no	—
560	C₂×C₃×Q₈	—	4	1	no	—
561	C₂×C₃×Q₈	—	4	1	no	—
562	C₂×C₃×D₄	—	2	2	no	—
563	C₂×C₃×D₄	—	2	2	no	—
564	C₂×C₃×D₄	C₂×Q₈	1	4	yes	—
565	C₂²×C₃×C₄	—	2	2	no	—
566	C₂²×C₃×C₄	—	2	2	no	—
567	C₂²×C₃×C₄	—	2	2	no	—
568	C₂²×C₃×C₄	—	2	2	no	—
569	C₂²×C₃×C₄	—	2	2	no	—
570	C₂²×C₃×C₄	—	2	2	no	—
571	C₂²×C₃×C₄	—	2	2	no	—
572	C₂²×C₃×C₄	—	2	2	no	—
573	C₂²×C₃×C₄	—	2	2	no	—
574	C₂²×C₃×C₄	—	2	2	no	—
575	C₂²×C₃×C₄	—	2	2	no	—
576	C₂²×C₃×C₄	—	4	1	no	—
577	C₂²×C₃×C₄	—	4	1	no	—
578	C₂²×C₃×C₄	—	4	1	no	—
579	C₂²×C₃×C₄	—	4	1	no	—
580	C₂²×C₃×C₄	—	4	1	no	—
581	C₂²×C₃×C₄	—	4	1	no	—
582	C₂²×C₃×C₄	—	4	1	no	—
583	C₂²×C₃×C₄	—	4	1	no	—
584	C₂²×C₃×C₄	—	4	1	no	—
585	C₂²×C₃×C₄	—	4	1	no	—
586	C₂²×C₃×C₄	—	4	1	no	—
587	C₂²×C₃×C₄	—	4	1	no	—
588	C₂²×C₃×C₄	—	4	1	no	—
589	C₂²×C₃×C₄	—	4	1	no	—
590	C₂²×C₃×C₄	—	4	1	no	—
591	C₂²×C₃×C₄	—	4	1	no	—
592	C₂²×C₃×C₄	—	4	1	no	—
593	C₂²×C₃×C₄	C₂×Q₈	1	4	yes	—
594	C₂²×C₃×C₄	C₂×Q₈	1	4	yes	—
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	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
606	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
607	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
608	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
609	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
610	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
611	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
612	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
613	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
614	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
615	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
616	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
617	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
618	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
619	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
620	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
621	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
622	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
623	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
624	C₃×C₄⋊C₄	—	2	2	no	—
625	C₃×C₄⋊C₄	—	2	2	no	—
626	C₃×C₄⋊C₄	—	2	2	no	—
627	C₃×C₄⋊C₄	—	2	2	no	—
628	C₃×C₄⋊C₄	—	2	2	no	—
629	C₃×C₄⋊C₄	—	2	2	no	—
630	C₃×C₄⋊C₄	—	2	2	no	—
631	C₃×C₄⋊C₄	—	2	2	no	—
632	C₃×C₄⋊C₄	—	2	2	no	—
633	C₃×C₄⋊C₄	—	2	2	no	—
634	C₃×C₄⋊C₄	—	2	2	no	—
635	C₃×C₄⋊C₄	—	2	2	no	—
636	C₃×C₄⋊C₄	—	2	2	no	—
637	C₃×C₄⋊C₄	—	2	2	no	—
638	C₃×C₄⋊C₄	—	2	2	no	—
639	C₃×C₄⋊C₄	—	2	2	no	—
640	C₃×C₄⋊C₄	—	2	2	no	—
641	C₃×C₄⋊C₄	—	2	2	no	—
642	C₃×C₄⋊C₄	—	2	2	no	—
643	C₃×C₄⋊C₄	—	2	2	no	—
644	C₃×C₄⋊C₄	—	2	2	no	—
645	C₃×C₄⋊C₄	—	2	2	no	—
646	C₃×C₄⋊C₄	—	2	2	no	—
647	C₃×C₄⋊C₄	—	2	2	no	—
648	C₃×C₄⋊C₄	—	2	2	no	—
649	C₃×C₄⋊C₄	—	4	1	no	—
650	C₃×C₄⋊C₄	—	4	1	no	—
651	C₃×C₄⋊C₄	—	4	1	no	—
652	C₃×C₄⋊C₄	—	4	1	no	—
653	C₃×C₄⋊C₄	—	4	1	no	—
654	C₃×C₄⋊C₄	—	4	1	no	—
655	C₃×C₄⋊C₄	—	4	1	no	—
656	C₃×C₄⋊C₄	—	4	1	no	—
657	C₃×C₄⋊C₄	—	4	1	no	—
658	C₃×C₄⋊C₄	—	4	1	no	—
659	C₃×C₄⋊C₄	—	4	1	no	—
660	C₃×C₄⋊C₄	—	4	1	no	—
661	C₃×C₄⋊C₄	—	4	1	no	—
662	C₃×C₄⋊C₄	—	4	1	no	—
663	C₃×C₄⋊C₄	—	4	1	no	—
664	C₃×C₄⋊C₄	—	4	1	no	—
665	C₃×C₄⋊C₄	—	4	1	no	—
666	C₃×C₄⋊C₄	—	4	1	no	—
667	C₃×C₄⋊C₄	—	4	1	no	—
668	C₃×C₄⋊C₄	—	4	1	no	—
669	C₃×C₄⋊C₄	—	4	1	no	—
670	C₃×C₄⋊C₄	—	4	1	no	—
671	C₃×C₄⋊C₄	—	4	1	no	—
672	C₃×C₄⋊C₄	—	4	1	no	—
673	C₃×C₄⋊C₄	—	4	1	no	—
674	C₃×C₄⋊C₄	C₂×Q₈	1	4	yes	—
675	C₃×C₂²⋊C₄	—	2	2	no	—
676	C₃×C₂²⋊C₄	—	2	2	no	—
677	C₃×C₂²⋊C₄	—	2	2	no	—
678	C₃×C₂²⋊C₄	—	2	2	no	—
679	C₃×C₂²⋊C₄	—	2	2	no	—
680	C₃×C₂²⋊C₄	—	2	2	no	—
681	C₃×C₂²⋊C₄	—	2	2	no	—
682	C₃×C₂²⋊C₄	—	2	2	no	—
683	C₃×C₂²⋊C₄	—	2	2	no	—
684	C₃×C₂²⋊C₄	—	4	1	no	—
685	C₃×C₂²⋊C₄	—	4	1	no	—
686	C₃×C₂²⋊C₄	—	4	1	no	—
687	C₃×C₂²⋊C₄	—	4	1	no	—
688	C₃×C₂²⋊C₄	—	4	1	no	—
689	C₃×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
690	C₃×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
691	C₃×C₂²⋊C₄	#41	1	4	yes	—
692	C₃×C₂²⋊C₄	#41	1	4	yes	—
693	C₃×C₄²	—	2	2	no	—
694	C₃×C₄²	—	2	2	no	—
695	C₃×C₄²	—	2	2	no	—
696	C₃×C₄²	—	2	2	no	—
697	C₃×C₄²	—	2	2	no	—
698	C₃×C₄²	—	4	1	no	—
699	C₃×C₄²	—	4	1	no	—
700	C₃×C₄²	—	4	1	no	—
701	C₃×C₄²	—	4	1	no	—
702	C₃×C₄²	—	4	1	no	—
703	C₃×C₄²	—	4	1	no	—
704	C₃×C₄²	—	4	1	no	—
705	C₃×C₄²	—	4	1	no	—
706	C₃×C₄²	—	4	1	no	—
707	C₃×C₄²	—	4	1	no	—
708	C₃×C₄²	—	4	1	no	—
709	C₃×C₄²	C₂×Q₈	1	4	yes	—
710	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
711	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
712	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
713	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
714	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
715	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
716	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
717	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
718	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
719	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
720	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
721	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
722	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
723	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
724	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
725	C₄⋊Q₈	—	4	2	no	—
726	C₂²⋊Q₈	—	2	4	no	—
727	C₂²⋊Q₈	—	2	4	no	—
728	C₂²⋊Q₈	—	2	4	no	—
729	C₂²⋊Q₈	—	2	4	no	—
730	C₂²⋊Q₈	—	4	2	no	—
731	C₂²⋊Q₈	—	4	2	no	—
732	C₂²⋊Q₈	—	4	2	no	—
733	C₄×Q₈	—	4	2	no	—
734	C₄×Q₈	—	4	2	no	—
735	C₄×Q₈	—	4	2	no	—
736	C₄×D₄	—	2	4	no	—
737	C₄×D₄	—	2	4	no	—
738	C₄×D₄	C₃×Q₈	1	8	yes	complemented
739	#117	—	4	2	no	—
740	C₂×C₄⋊C₄	—	4	2	no	—
741	C₂×C₄⋊C₄	—	4	2	no	—
742	C₂×C₄⋊C₄	—	4	2	no	—
743	C₂×C₄⋊C₄	—	4	2	no	—
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×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
754	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
755	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
756	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
757	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
758	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
760	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
761	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
762	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
763	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
764	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
765	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
766	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
767	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
768	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
769	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
770	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
771	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
772	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
773	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
774	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
775	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
776	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
777	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
779	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
780	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
781	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
782	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
783	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
784	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
785	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
786	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
787	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
788	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
789	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
790	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
791	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
792	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
793	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
794	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
795	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
796	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
797	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
798	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
799	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
800	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
801	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
802	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
803	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
804	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
805	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
806	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
807	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
808	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
809	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
810	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
811	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
812	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
813	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
814	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
815	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
816	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
817	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
818	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
819	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
820	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
821	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
822	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
823	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
824	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
825	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
826	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
827	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
828	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
829	C₂×C₄²	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	#95	C₂³×C₃	1	1	yes	characteristic
861	#95	C₂³×C₃	1	1	yes	characteristic
862	#95	C₂³×C₃	1	1	yes	characteristic
863	#95	C₂³×C₃	1	1	yes	characteristic
864	#95	C₂³×C₃	1	1	yes	characteristic
865	#95	C₂³×C₃	1	1	yes	characteristic
866	#95	C₂³×C₃	1	1	yes	characteristic
867	#95	C₂³×C₃	1	1	yes	characteristic
868	#95	C₂³×C₃	1	1	yes	characteristic
869	#95	C₂³×C₃	1	1	yes	characteristic
870	#95	C₂³×C₃	1	1	yes	characteristic
871	#95	C₂³×C₃	1	1	yes	characteristic
872	#95	C₂³×C₃	1	1	yes	characteristic
873	#95	C₂³×C₃	1	1	yes	characteristic
874	#95	C₂³×C₃	1	1	yes	characteristic
875	#95	C₂³×C₃	1	1	yes	characteristic
876	#95	C₂³×C₃	1	1	yes	characteristic
877	#95	C₂³×C₃	1	1	yes	characteristic
878	#95	C₂³×C₃	1	1	yes	characteristic
879	#95	C₂³×C₃	1	1	yes	characteristic
880	#95	C₂³×C₃	1	1	yes	characteristic
881	#95	C₂³×C₃	1	1	yes	characteristic
882	#95	C₂³×C₃	1	1	yes	characteristic
883	#95	C₂³×C₃	1	1	yes	characteristic
884	C₂³×C₃	—	2	1	no	—
885	C₂³×C₃	—	2	1	no	—
886	C₂³×C₃	—	2	1	no	—
887	C₂³×C₃	—	2	1	no	—
888	C₂³×C₃	—	2	1	no	—
889	C₂³×C₃	—	2	1	no	—
890	C₂³×C₃	—	2	1	no	—
891	C₂³×C₃	—	2	1	no	—
892	C₂³×C₃	—	2	1	no	—
893	C₂³×C₃	—	2	1	no	—
894	C₂³×C₃	C₂²×Q₈	1	2	yes	—
895	C₂³×C₃	C₂²×Q₈	1	2	yes	—
896	C₂³×C₃	C₂×#41	1	2	yes	—
897	C₂³×C₃	C₂×#41	1	2	yes	—
898	C₂³×C₃	C₂⁵	1	1	yes	characteristic
899	C₃×Q₈	—	4	4	no	—
900	C₃×Q₈	—	4	4	no	—
901	C₃×Q₈	—	4	4	no	—
902	C₃×Q₈	—	8	2	no	—
903	C₃×D₄	—	2	8	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	—	2	1	no	—
974	C₂×C₃×C₄	—	2	1	no	—
975	C₂×C₃×C₄	—	2	1	no	—
976	C₂×C₃×C₄	—	2	1	no	—
977	C₂×C₃×C₄	—	2	1	no	—
978	C₂×C₃×C₄	—	2	1	no	—
979	C₂×C₃×C₄	—	4	4	no	—
980	C₂×C₃×C₄	—	4	4	no	—
981	C₂×C₃×C₄	—	4	4	no	—
982	C₂×C₃×C₄	—	4	4	no	—
983	C₂×C₃×C₄	—	4	4	no	—
984	C₂×C₃×C₄	—	8	2	no	—
985	C₂×C₃×C₄	—	8	2	no	—
986	C₂×C₃×C₄	—	8	2	no	—
987	C₂×C₃×C₄	—	8	2	no	—
988	C₂×C₃×C₄	—	8	2	no	—
989	C₂×C₃×C₄	C₂²×Q₈	1	2	yes	—
990	C₂×C₃×C₄	C₂²×Q₈	1	2	yes	—
991	C₂×C₃×C₄	C₂²×Q₈	1	2	yes	—
992	C₂×C₃×C₄	C₂²×Q₈	1	2	yes	—
993	C₂×C₃×C₄	C₂²×Q₈	1	2	yes	—
994	C₂×C₃×C₄	C₂×#41	1	2	yes	—
995	C₂×C₃×C₄	C₂×#41	1	2	yes	—
996	C₂×C₃×C₄	C₂×#41	1	2	yes	—
997	C₂×C₃×C₄	C₂×#41	1	2	yes	—
998	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
999	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1000	C₂×C₃×C₄	2₋¹⁺⁴	1	2	yes	—
1001	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1002	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1003	C₂×Q₈	—	2	2	no	—
1004	C₂×Q₈	—	2	2	no	—
1005	C₂×Q₈	—	2	2	no	—
1006	C₂×Q₈	—	2	2	no	—
1007	C₂×Q₈	—	2	2	no	—
1008	C₂×Q₈	—	2	2	no	—
1009	C₂×Q₈	—	2	2	no	—
1010	C₂×Q₈	—	4	1	no	—
1011	C₂×Q₈	—	4	1	no	—
1012	C₂×Q₈	—	4	1	no	—
1013	C₂×Q₈	—	4	1	no	—
1014	C₂×Q₈	—	4	1	no	—
1015	C₂×D₄	—	2	2	no	—
1016	C₂×D₄	—	2	2	no	—
1017	C₂×D₄	C₂×C₃×Q₈	1	4	yes	—
1018	C₂²×C₄	—	2	2	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	—	2	2	no	—
1026	C₂²×C₄	—	2	2	no	—
1027	C₂²×C₄	—	2	2	no	—
1028	C₂²×C₄	—	2	2	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	C₂²×C₄	—	4	1	no	—
1044	C₂²×C₄	—	4	1	no	—
1045	C₂²×C₄	—	4	1	no	—
1046	C₂²×C₄	C₂×C₃×Q₈	1	4	yes	—
1047	C₂²×C₄	C₂×C₃×Q₈	1	4	yes	—
1048	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1049	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1050	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1051	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1052	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1053	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1054	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1055	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1056	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1063	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1064	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1065	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1066	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1067	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1068	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1069	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1070	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1071	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1072	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1073	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1074	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1075	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1076	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1077	C₄⋊C₄	—	2	2	no	—
1078	C₄⋊C₄	—	2	2	no	—
1079	C₄⋊C₄	—	2	2	no	—
1080	C₄⋊C₄	—	2	2	no	—
1081	C₄⋊C₄	—	2	2	no	—
1082	C₄⋊C₄	—	2	2	no	—
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	2	2	no	—
1086	C₄⋊C₄	—	2	2	no	—
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	2	2	no	—
1089	C₄⋊C₄	—	2	2	no	—
1090	C₄⋊C₄	—	2	2	no	—
1091	C₄⋊C₄	—	2	2	no	—
1092	C₄⋊C₄	—	2	2	no	—
1093	C₄⋊C₄	—	2	2	no	—
1094	C₄⋊C₄	—	2	2	no	—
1095	C₄⋊C₄	—	2	2	no	—
1096	C₄⋊C₄	—	2	2	no	—
1097	C₄⋊C₄	—	2	2	no	—
1098	C₄⋊C₄	—	2	2	no	—
1099	C₄⋊C₄	—	2	2	no	—
1100	C₄⋊C₄	—	2	2	no	—
1101	C₄⋊C₄	—	2	2	no	—
1102	C₄⋊C₄	—	4	1	no	—
1103	C₄⋊C₄	—	4	1	no	—
1104	C₄⋊C₄	—	4	1	no	—
1105	C₄⋊C₄	—	4	1	no	—
1106	C₄⋊C₄	—	4	1	no	—
1107	C₄⋊C₄	—	4	1	no	—
1108	C₄⋊C₄	—	4	1	no	—
1109	C₄⋊C₄	—	4	1	no	—
1110	C₄⋊C₄	—	4	1	no	—
1111	C₄⋊C₄	—	4	1	no	—
1112	C₄⋊C₄	—	4	1	no	—
1113	C₄⋊C₄	—	4	1	no	—
1114	C₄⋊C₄	—	4	1	no	—
1115	C₄⋊C₄	—	4	1	no	—
1116	C₄⋊C₄	—	4	1	no	—
1117	C₄⋊C₄	—	4	1	no	—
1118	C₄⋊C₄	—	4	1	no	—
1119	C₄⋊C₄	—	4	1	no	—
1120	C₄⋊C₄	—	4	1	no	—
1121	C₄⋊C₄	—	4	1	no	—
1122	C₄⋊C₄	—	4	1	no	—
1123	C₄⋊C₄	—	4	1	no	—
1124	C₄⋊C₄	—	4	1	no	—
1125	C₄⋊C₄	—	4	1	no	—
1126	C₄⋊C₄	—	4	1	no	—
1127	C₄⋊C₄	C₂×C₃×Q₈	1	4	yes	—
1128	C₂²⋊C₄	—	2	2	no	—
1129	C₂²⋊C₄	—	2	2	no	—
1130	C₂²⋊C₄	—	2	2	no	—
1131	C₂²⋊C₄	—	2	2	no	—
1132	C₂²⋊C₄	—	2	2	no	—
1133	C₂²⋊C₄	—	2	2	no	—
1134	C₂²⋊C₄	—	2	2	no	—
1135	C₂²⋊C₄	—	2	2	no	—
1136	C₂²⋊C₄	—	2	2	no	—
1137	C₂²⋊C₄	—	4	1	no	—
1138	C₂²⋊C₄	—	4	1	no	—
1139	C₂²⋊C₄	—	4	1	no	—
1140	C₂²⋊C₄	—	4	1	no	—
1141	C₂²⋊C₄	—	4	1	no	—
1142	C₂²⋊C₄	C₂×C₃×Q₈	1	4	yes	—
1143	C₂²⋊C₄	C₂×C₃×Q₈	1	4	yes	—
1144	C₂²⋊C₄	C₃×#41	1	4	yes	—
1145	C₂²⋊C₄	C₃×#41	1	4	yes	—
1146	C₄²	—	2	2	no	—
1147	C₄²	—	2	2	no	—
1148	C₄²	—	2	2	no	—
1149	C₄²	—	2	2	no	—
1150	C₄²	—	2	2	no	—
1151	C₄²	—	4	1	no	—
1152	C₄²	—	4	1	no	—
1153	C₄²	—	4	1	no	—
1154	C₄²	—	4	1	no	—
1155	C₄²	—	4	1	no	—
1156	C₄²	—	4	1	no	—
1157	C₄²	—	4	1	no	—
1158	C₄²	—	4	1	no	—
1159	C₄²	—	4	1	no	—
1160	C₄²	—	4	1	no	—
1161	C₄²	—	4	1	no	—
1162	C₄²	C₂×C₃×Q₈	1	4	yes	—
1163	C₂²×C₃	—	2	2	no	—
1164	C₂²×C₃	—	2	2	no	—
1165	C₂²×C₃	—	2	2	no	—
1166	C₂²×C₃	—	2	2	no	—
1167	C₂²×C₃	—	2	2	no	—
1168	C₂²×C₃	—	2	2	no	—
1169	C₂²×C₃	—	2	2	no	—
1170	C₂²×C₃	—	2	2	no	—
1171	C₂²×C₃	—	2	2	no	—
1172	C₂²×C₃	—	4	1	no	—
1173	C₂²×C₃	—	4	1	no	—
1174	C₂²×C₃	—	4	1	no	—
1175	C₂²×C₃	—	4	1	no	—
1176	C₂²×C₃	#533	1	4	yes	—
1177	C₂²×C₃	C₂³×Q₈	1	1	yes	characteristic
1178	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1179	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1180	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1181	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1182	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1183	C₂²×C₃	#585	1	1	yes	characteristic
1184	C₃×C₄	—	2	2	no	—
1185	C₃×C₄	—	2	2	no	—
1186	C₃×C₄	—	2	2	no	—
1187	C₃×C₄	—	2	2	no	—
1188	C₃×C₄	—	2	2	no	—
1189	C₃×C₄	—	2	2	no	—
1190	C₃×C₄	—	2	2	no	—
1191	C₃×C₄	—	2	2	no	—
1192	C₃×C₄	—	2	2	no	—
1193	C₃×C₄	—	2	2	no	—
1194	C₃×C₄	—	2	2	no	—
1195	C₃×C₄	—	2	2	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	C₃×C₄	—	4	1	no	—
1203	C₃×C₄	—	4	1	no	—
1204	C₃×C₄	—	4	1	no	—
1205	C₃×C₄	—	4	1	no	—
1206	C₃×C₄	—	4	1	no	—
1207	C₃×C₄	—	4	1	no	—
1208	C₃×C₄	—	4	1	no	—
1209	C₃×C₄	—	4	1	no	—
1210	C₃×C₄	—	4	1	no	—
1211	C₃×C₄	—	4	1	no	—
1212	C₃×C₄	—	4	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	C₂²×C₃×Q₈	1	2	yes	—
1224	C₂³	C₂²×C₃×Q₈	1	2	yes	—
1225	C₂³	C₂×C₃×#41	1	2	yes	—
1226	C₂³	C₂×C₃×#41	1	2	yes	—
1227	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1228	Q₈	—	4	4	no	—
1229	Q₈	—	4	4	no	—
1230	Q₈	—	4	4	no	—
1231	Q₈	—	8	2	no	—
1232	D₄	—	2	8	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	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	—	4	4	no	—
1309	C₂×C₄	—	4	4	no	—
1310	C₂×C₄	—	4	4	no	—
1311	C₂×C₄	—	4	4	no	—
1312	C₂×C₄	—	4	4	no	—
1313	C₂×C₄	—	8	2	no	—
1314	C₂×C₄	—	8	2	no	—
1315	C₂×C₄	—	8	2	no	—
1316	C₂×C₄	—	8	2	no	—
1317	C₂×C₄	—	8	2	no	—
1318	C₂×C₄	C₂²×C₃×Q₈	1	2	yes	—
1319	C₂×C₄	C₂²×C₃×Q₈	1	2	yes	—
1320	C₂×C₄	C₂²×C₃×Q₈	1	2	yes	—
1321	C₂×C₄	C₂²×C₃×Q₈	1	2	yes	—
1322	C₂×C₄	C₂²×C₃×Q₈	1	2	yes	—
1323	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1324	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1325	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1326	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1327	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1328	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1329	C₂×C₄	C₃×2₋¹⁺⁴	1	2	yes	—
1330	C₂×C₃	—	2	4	no	—
1331	C₂×C₃	—	4	2	no	—
1332	C₂×C₃	C₂×#533	1	1	yes	characteristic
1333	C₂×C₃	#3501	1	1	yes	characteristic
1334	C₂×C₃	#3503	1	1	yes	characteristic
1335	C₂×C₃	#3513	1	1	yes	characteristic
1336	C₂×C₃	#3515	1	1	yes	characteristic
1337	C₂×C₃	#3519	1	1	yes	characteristic
1338	C₂×C₃	#3520	1	1	yes	characteristic
1339	C₂²	—	2	2	no	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	2	2	no	—
1342	C₂²	—	2	2	no	—
1343	C₂²	—	2	2	no	—
1344	C₂²	—	2	2	no	—
1345	C₂²	—	2	2	no	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	2	2	no	—
1348	C₂²	—	4	1	no	—
1349	C₂²	—	4	1	no	—
1350	C₂²	—	4	1	no	—
1351	C₂²	—	4	1	no	—
1352	C₂²	C₃×#533	1	4	yes	—
1353	C₂²	C₂³×C₃×Q₈	1	1	yes	characteristic
1354	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1355	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1356	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1357	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1358	C₂²	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1359	C₂²	C₃×#585	1	1	yes	characteristic
1360	C₄	—	2	2	no	—
1361	C₄	—	2	2	no	—
1362	C₄	—	2	2	no	—
1363	C₄	—	2	2	no	—
1364	C₄	—	2	2	no	—
1365	C₄	—	2	2	no	—
1366	C₄	—	2	2	no	—
1367	C₄	—	2	2	no	—
1368	C₄	—	2	2	no	—
1369	C₄	—	2	2	no	—
1370	C₄	—	2	2	no	—
1371	C₄	—	2	2	no	—
1372	C₄	—	4	1	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	C₃	#35862	1	1	yes	characteristic, direct product factor, Sylow
1390	C₂	—	2	4	no	—
1391	C₂	—	4	2	no	—
1392	C₂	C₂×C₃×#533	1	1	yes	characteristic
1393	C₂	C₃×#3501	1	1	yes	characteristic
1394	C₂	C₃×#3503	1	1	yes	characteristic
1395	C₂	C₃×#3513	1	1	yes	characteristic
1396	C₂	C₃×#3515	1	1	yes	characteristic
1397	C₂	C₃×#3519	1	1	yes	characteristic
1398	C₂	C₃×#3520	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
1. C₃×#2667	C₂	semidirect
2. C₃×#2666	C₂	semidirect
3. C₃×#2646	C₂	semidirect
4. C₃×#2612	C₂	semidirect
5. C₃×#2606	C₂	semidirect
6. C₃×#2590	C₂	semidirect
7. C₃×#2589	C₂	semidirect
8. C₃×#2588	C₂	semidirect
9. C₃×#2587	C₂	semidirect
10. C₃×#2549	C₂	semidirect
11. C₃×#2549	C₂	semidirect
12. C₃×#2507	C₂	semidirect
13. C₃×#2451	C₂	semidirect
18. C₃×#2440	C₂	semidirect
19. C₃×#2438	C₂	semidirect
20. C₃×#2429	C₂	semidirect
21. C₃×#2423	C₂	semidirect
22. C₃×#2399	C₂	semidirect
23. C₃×#2396	C₂	semidirect
24. C₂×C₃×#398	C₂	semidirect
25. C₃×#2368	C₂	semidirect
26. C₃×#2360	C₂	semidirect
27. C₃×#2360	C₂	semidirect
28. C₃×#2360	C₂	semidirect
32. #35862	C₃	direct (N × H)
188. #2667	C₂×C₃	semidirect
189. #2666	C₂×C₃	semidirect
190. #2646	C₂×C₃	semidirect
191. #2612	C₂×C₃	semidirect
192. #2606	C₂×C₃	semidirect
193. #2590	C₂×C₃	semidirect
194. #2589	C₂×C₃	semidirect
195. #2588	C₂×C₃	semidirect
196. #2587	C₂×C₃	semidirect
197. #2549	C₂×C₃	semidirect
198. #2549	C₂×C₃	semidirect
199. #2507	C₂×C₃	semidirect
200. #2451	C₂×C₃	semidirect
205. #2440	C₂×C₃	semidirect
206. #2438	C₂×C₃	semidirect
207. #2429	C₂×C₃	semidirect
208. #2423	C₂×C₃	semidirect
209. #2399	C₂×C₃	semidirect
210. #2396	C₂×C₃	semidirect
211. C₂×#398	C₂×C₃	semidirect
212. #2368	C₂×C₃	semidirect
213. #2360	C₂×C₃	semidirect
214. #2360	C₂×C₃	semidirect
215. #2360	C₂×C₃	semidirect
247. C₃×C₄×D₄	Q₈	semidirect
738. C₄×D₄	C₃×Q₈	semidirect
1389. C₃	#35862	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×#2667	2
C₃×#2666	2
C₃×#2646	2
C₃×#2612	2
C₃×#2606	2
C₃×#2590	2
C₃×#2589	2
C₃×#2588	2
C₃×#2587	2
C₃×#2549	2
C₃×#2507	2
C₃×#2451	2
C₃×#2450	2
C₃×#2449	2
C₃×#2440	2
C₃×#2438	2
C₃×#2429	2
C₃×#2423	2
C₃×#2399	2
C₃×#2396	2
C₂×C₃×#398	2
C₃×#2368	2
C₃×#2360	2
C₃×#2353	2
C₃×#2352	2
C₃×#2275	2
#35862	3

Subgroups — C3×#35862 #10654469

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#35862 #10654469