Subgroups — C₃×#34506 #10653113

Order 768.

2132 conjugacy classes of subgroups.

The subgroup lattice has 1480 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#553	C₂	1	1	yes	maximal, characteristic
2	C₃×#2382	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2377	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2377	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2373	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2373	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2364	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2363	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2359	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2357	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2353	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2352	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2352	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2344	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2343	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2336	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2334	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2333	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2333	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2333	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2324	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#2322	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#2319	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2318	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#2318	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2313	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×C₄×#126	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#2298	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#2293	C₂	1	1	yes	maximal, characteristic, complemented
32	#34506	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₃×#553	C₄	1	16	yes	complemented
34	C₂×C₃×#126	C₂²	1	1	yes	characteristic
35	C₂×C₃×#126	C₂²	1	1	yes	characteristic
36	C₂×C₃×#125	C₂²	1	1	yes	characteristic
37	C₂×C₃×#123	C₂²	1	1	yes	characteristic
38	C₂×C₃×#123	C₂²	1	1	yes	characteristic
39	C₂×C₃×#121	C₂²	1	1	yes	characteristic
40	C₂×C₃×#121	C₂²	1	1	yes	characteristic
41	C₂×C₃×#121	C₂²	1	1	yes	characteristic
42	C₂×C₃×#121	C₂²	1	1	yes	characteristic
43	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
44	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
45	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
46	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
47	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
48	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
49	C₂×C₃×#117	C₂²	1	1	yes	characteristic
50	C₂×C₃×#117	C₂²	1	1	yes	characteristic
51	C₂×C₃×#117	C₂²	1	1	yes	characteristic
52	C₂×C₃×#117	C₂²	1	1	yes	characteristic
53	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
54	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
55	C₃×#390	C₂²	1	1	yes	characteristic
56	C₃×#390	C₂²	1	1	yes	characteristic
57	C₃×#390	C₂²	1	1	yes	characteristic
58	C₃×#390	C₂²	1	1	yes	characteristic
59	C₃×#390	C₂²	1	1	yes	characteristic
60	C₃×#390	C₂²	1	1	yes	characteristic
61	C₃×#390	C₂²	1	1	yes	characteristic
62	C₃×#390	C₂²	1	1	yes	characteristic
63	C₃×#389	C₂²	1	1	yes	characteristic
64	C₃×#389	C₂²	1	1	yes	characteristic
65	C₃×#389	C₂²	1	1	yes	characteristic
66	C₃×#389	C₂²	1	1	yes	characteristic
67	C₃×#389	C₂²	1	1	yes	characteristic
68	C₃×#389	C₂²	1	1	yes	characteristic
69	C₃×#389	C₂²	1	1	yes	characteristic
70	C₃×#389	C₂²	1	1	yes	characteristic
71	C₃×#388	C₂²	1	1	yes	characteristic
72	C₃×#388	C₂²	1	1	yes	characteristic
73	C₃×#388	C₂²	1	1	yes	characteristic
74	C₃×#388	C₂²	1	1	yes	characteristic
75	C₃×#388	C₂²	1	1	yes	characteristic
76	C₃×#388	C₂²	1	1	yes	characteristic
77	C₃×#388	C₂²	1	1	yes	characteristic
78	C₃×#388	C₂²	1	1	yes	characteristic
79	C₃×#388	C₂²	1	1	yes	characteristic
80	C₃×#388	C₂²	1	1	yes	characteristic
81	C₃×#388	C₂²	1	1	yes	characteristic
82	C₃×#388	C₂²	1	1	yes	characteristic
83	C₃×#388	C₂²	1	1	yes	characteristic
84	C₃×#388	C₂²	1	1	yes	characteristic
85	C₃×#388	C₂²	1	1	yes	characteristic
86	C₃×#388	C₂²	1	1	yes	characteristic
87	C₃×#388	C₂²	1	1	yes	characteristic
88	C₃×#388	C₂²	1	1	yes	characteristic
89	C₃×#388	C₂²	1	1	yes	characteristic
90	C₃×#388	C₂²	1	1	yes	characteristic
91	C₃×#388	C₂²	1	1	yes	characteristic
92	C₃×#388	C₂²	1	1	yes	characteristic
93	C₃×#387	C₂²	1	1	yes	characteristic
94	C₃×#387	C₂²	1	1	yes	characteristic
95	C₃×#387	C₂²	1	1	yes	characteristic
96	C₃×#387	C₂²	1	1	yes	characteristic
97	C₃×#387	C₂²	1	1	yes	characteristic
98	C₃×#387	C₂²	1	1	yes	characteristic
99	C₃×#387	C₂²	1	1	yes	characteristic
100	C₃×#387	C₂²	1	1	yes	characteristic
101	C₃×#387	C₂²	1	1	yes	characteristic
102	C₃×#387	C₂²	1	1	yes	characteristic
103	C₃×#387	C₂²	1	1	yes	characteristic
104	C₃×#387	C₂²	1	1	yes	characteristic
105	C₃×#387	C₂²	1	1	yes	characteristic
106	C₃×#387	C₂²	1	1	yes	characteristic
107	C₃×#387	C₂²	1	1	yes	characteristic
108	C₃×#387	C₂²	1	1	yes	characteristic
109	C₃×#387	C₂²	1	1	yes	characteristic
110	C₃×#387	C₂²	1	1	yes	characteristic
111	C₃×#387	C₂²	1	1	yes	characteristic
112	C₃×#387	C₂²	1	1	yes	characteristic
113	C₃×#387	C₂²	1	1	yes	characteristic
114	C₃×#387	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×#386	C₂²	1	1	yes	characteristic
120	C₃×#386	C₂²	1	1	yes	characteristic
121	C₃×#386	C₂²	1	1	yes	characteristic
122	C₃×#386	C₂²	1	1	yes	characteristic
123	C₃×#386	C₂²	1	1	yes	characteristic
124	C₃×#386	C₂²	1	1	yes	characteristic
125	C₃×#386	C₂²	1	1	yes	characteristic
126	C₃×#386	C₂²	1	1	yes	characteristic
127	C₃×#386	C₂²	1	1	yes	characteristic
128	C₃×#386	C₂²	1	1	yes	characteristic
129	C₃×#386	C₂²	1	1	yes	characteristic
130	C₃×#386	C₂²	1	1	yes	characteristic
131	C₃×#386	C₂²	1	1	yes	characteristic
132	C₃×#386	C₂²	1	1	yes	characteristic
133	C₃×#385	C₂²	1	1	yes	characteristic
134	C₃×#385	C₂²	1	1	yes	characteristic
135	C₃×#385	C₂²	1	1	yes	characteristic
136	C₃×#385	C₂²	1	1	yes	characteristic
137	C₃×#385	C₂²	1	1	yes	characteristic
138	C₃×#385	C₂²	1	1	yes	characteristic
139	C₃×#385	C₂²	1	1	yes	characteristic
140	C₃×#385	C₂²	1	1	yes	characteristic
141	C₃×#383	C₂²	1	1	yes	characteristic
142	C₃×#383	C₂²	1	1	yes	characteristic
143	C₃×#382	C₂²	1	1	yes	characteristic
144	C₃×#382	C₂²	1	1	yes	characteristic
145	C₃×#382	C₂²	1	1	yes	characteristic
146	C₃×#381	C₂²	1	1	yes	characteristic
147	C₃×#381	C₂²	1	1	yes	characteristic
148	C₃×#381	C₂²	1	1	yes	characteristic
149	C₃×#381	C₂²	1	1	yes	characteristic
150	C₃×#381	C₂²	1	1	yes	characteristic
151	C₃×#381	C₂²	1	1	yes	characteristic
152	C₃×#380	C₂²	1	1	yes	characteristic
153	C₃×#380	C₂²	1	1	yes	characteristic
154	C₃×#380	C₂²	1	1	yes	characteristic
155	C₃×#380	C₂²	1	1	yes	characteristic
156	C₃×#380	C₂²	1	1	yes	characteristic
157	C₃×#380	C₂²	1	1	yes	characteristic
158	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
159	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
160	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
161	C₃×C₄×C₄⋊C₄	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×C₂²⋊C₄	C₂²	1	1	yes	characteristic
169	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
170	C₃×C₄×C₂²⋊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×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
183	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
184	C₃×#376	C₂²	1	1	yes	characteristic
185	C₃×#376	C₂²	1	1	yes	characteristic
186	C₂×C₃×#95	C₂²	1	1	yes	characteristic
187	C₂×C₃×#95	C₂²	1	1	yes	characteristic
188	C₃×C₄³	C₂²	1	1	yes	characteristic
189	C₂×#553	C₂×C₃	1	1	yes	characteristic
190	#2382	C₂×C₃	1	1	yes	characteristic, complemented
191	#2377	C₂×C₃	1	1	yes	characteristic, complemented
192	#2377	C₂×C₃	1	1	yes	characteristic, complemented
193	#2376	C₂×C₃	1	1	yes	characteristic, complemented
194	#2373	C₂×C₃	1	1	yes	characteristic, complemented
195	#2373	C₂×C₃	1	1	yes	characteristic, complemented
196	#2364	C₂×C₃	1	1	yes	characteristic, complemented
197	#2363	C₂×C₃	1	1	yes	characteristic, complemented
198	#2359	C₂×C₃	1	1	yes	characteristic, complemented
199	#2357	C₂×C₃	1	1	yes	characteristic, complemented
200	#2353	C₂×C₃	1	1	yes	characteristic, complemented
201	#2352	C₂×C₃	1	1	yes	characteristic, complemented
202	#2352	C₂×C₃	1	1	yes	characteristic, complemented
203	#2344	C₂×C₃	1	1	yes	characteristic, complemented
204	#2343	C₂×C₃	1	1	yes	characteristic, complemented
205	#2336	C₂×C₃	1	1	yes	characteristic, complemented
206	#2335	C₂×C₃	1	1	yes	characteristic, complemented
207	#2334	C₂×C₃	1	1	yes	characteristic, complemented
208	#2333	C₂×C₃	1	1	yes	characteristic, complemented
209	#2333	C₂×C₃	1	1	yes	characteristic, complemented
210	#2333	C₂×C₃	1	1	yes	characteristic, complemented
211	#2324	C₂×C₃	1	1	yes	characteristic, complemented
212	#2322	C₂×C₃	1	1	yes	characteristic, complemented
213	#2319	C₂×C₃	1	1	yes	characteristic, complemented
214	#2318	C₂×C₃	1	1	yes	characteristic, complemented
215	#2318	C₂×C₃	1	1	yes	characteristic, complemented
216	#2313	C₂×C₃	1	1	yes	characteristic, complemented
217	C₄×#126	C₂×C₃	1	1	yes	characteristic, complemented
218	#2298	C₂×C₃	1	1	yes	characteristic, complemented
219	#2293	C₂×C₃	1	1	yes	characteristic, complemented
220	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
221	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
222	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
223	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
224	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
225	C₂²×C₃×D₄	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	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
235	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
236	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
237	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
238	C₃×#126	C₂×C₄	1	8	yes	complemented
239	C₃×#126	C₂×C₄	1	8	yes	complemented
240	C₃×#125	C₂×C₄	1	8	yes	complemented
241	C₃×#123	C₂×C₄	1	8	yes	complemented
242	C₃×#123	C₂×C₄	1	8	yes	complemented
243	C₃×#121	C₂×C₄	1	8	yes	—
244	C₃×#121	C₂×C₄	1	8	yes	complemented
245	C₃×#121	C₂×C₄	1	8	yes	complemented
246	C₃×#121	C₂×C₄	1	8	yes	complemented
247	C₃×C₄×D₄	—	4	2	no	—
248	C₃×C₄×D₄	—	4	2	no	—
249	C₃×C₄×D₄	C₂×C₄	1	8	yes	complemented
250	C₃×C₄×D₄	C₂×C₄	1	8	yes	complemented
251	C₃×C₄×D₄	C₂×C₄	1	8	yes	complemented
252	C₃×C₄×D₄	C₂×C₄	1	8	yes	complemented
253	C₃×#117	—	4	2	no	—
254	C₃×#117	—	4	2	no	—
255	C₃×#117	—	4	2	no	—
256	C₃×#117	C₂×C₄	1	8	yes	complemented
257	C₂×C₃×C₄⋊C₄	—	4	2	no	—
258	C₂×C₃×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₃×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	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
340	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
341	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
342	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
343	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
344	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
345	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
346	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
347	C₂×C₃×C₄²	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	C₃×#95	C₂³	1	1	yes	characteristic
394	C₃×#95	C₂³	1	1	yes	characteristic
395	C₃×#95	C₂³	1	1	yes	characteristic
396	#553	C₃×C₄	1	16	yes	complemented
397	C₂×#126	C₂²×C₃	1	1	yes	characteristic
398	C₂×#126	C₂²×C₃	1	1	yes	characteristic
399	C₂×#125	C₂²×C₃	1	1	yes	characteristic
400	C₂×#123	C₂²×C₃	1	1	yes	characteristic
401	C₂×#123	C₂²×C₃	1	1	yes	characteristic
402	C₂×#121	C₂²×C₃	1	1	yes	characteristic
403	C₂×#121	C₂²×C₃	1	1	yes	characteristic
404	C₂×#121	C₂²×C₃	1	1	yes	characteristic
405	C₂×#121	C₂²×C₃	1	1	yes	characteristic
406	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
407	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
408	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
409	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
410	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
411	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
412	C₂×#117	C₂²×C₃	1	1	yes	characteristic
413	C₂×#117	C₂²×C₃	1	1	yes	characteristic
414	C₂×#117	C₂²×C₃	1	1	yes	characteristic
415	C₂×#117	C₂²×C₃	1	1	yes	characteristic
416	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
417	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
418	#390	C₂²×C₃	1	1	yes	characteristic
419	#390	C₂²×C₃	1	1	yes	characteristic
420	#390	C₂²×C₃	1	1	yes	characteristic
421	#390	C₂²×C₃	1	1	yes	characteristic
422	#390	C₂²×C₃	1	1	yes	characteristic
423	#390	C₂²×C₃	1	1	yes	characteristic
424	#390	C₂²×C₃	1	1	yes	characteristic
425	#390	C₂²×C₃	1	1	yes	characteristic
426	#389	C₂²×C₃	1	1	yes	characteristic
427	#389	C₂²×C₃	1	1	yes	characteristic
428	#389	C₂²×C₃	1	1	yes	characteristic
429	#389	C₂²×C₃	1	1	yes	characteristic
430	#389	C₂²×C₃	1	1	yes	characteristic
431	#389	C₂²×C₃	1	1	yes	characteristic
432	#389	C₂²×C₃	1	1	yes	characteristic
433	#389	C₂²×C₃	1	1	yes	characteristic
434	#388	C₂²×C₃	1	1	yes	characteristic
435	#388	C₂²×C₃	1	1	yes	characteristic
436	#388	C₂²×C₃	1	1	yes	characteristic
437	#388	C₂²×C₃	1	1	yes	characteristic
438	#388	C₂²×C₃	1	1	yes	characteristic
439	#388	C₂²×C₃	1	1	yes	characteristic
440	#388	C₂²×C₃	1	1	yes	characteristic
441	#388	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	#387	C₂²×C₃	1	1	yes	characteristic
457	#387	C₂²×C₃	1	1	yes	characteristic
458	#387	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	#386	C₂²×C₃	1	1	yes	characteristic
483	#386	C₂²×C₃	1	1	yes	characteristic
484	#386	C₂²×C₃	1	1	yes	characteristic
485	#386	C₂²×C₃	1	1	yes	characteristic
486	#386	C₂²×C₃	1	1	yes	characteristic
487	#386	C₂²×C₃	1	1	yes	characteristic
488	#386	C₂²×C₃	1	1	yes	characteristic
489	#386	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	#386	C₂²×C₃	1	1	yes	characteristic
495	#386	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	#382	C₂²×C₃	1	1	yes	characteristic
507	#382	C₂²×C₃	1	1	yes	characteristic
508	#382	C₂²×C₃	1	1	yes	characteristic
509	#381	C₂²×C₃	1	1	yes	characteristic
510	#381	C₂²×C₃	1	1	yes	characteristic
511	#381	C₂²×C₃	1	1	yes	characteristic
512	#381	C₂²×C₃	1	1	yes	characteristic
513	#381	C₂²×C₃	1	1	yes	characteristic
514	#381	C₂²×C₃	1	1	yes	characteristic
515	#380	C₂²×C₃	1	1	yes	characteristic
516	#380	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	C₄×C₄⋊C₄	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	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
543	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
544	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
545	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
546	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
547	#376	C₂²×C₃	1	1	yes	characteristic
548	#376	C₂²×C₃	1	1	yes	characteristic
549	C₂×#95	C₂²×C₃	1	1	yes	characteristic
550	C₂×#95	C₂²×C₃	1	1	yes	characteristic
551	C₄³	C₂²×C₃	1	1	yes	characteristic
552	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
553	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
554	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
555	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
556	C₂×C₃×D₄	—	4	1	no	—
557	C₂×C₃×D₄	—	4	1	no	—
558	C₂×C₃×D₄	—	4	1	no	—
559	C₂×C₃×D₄	—	4	1	no	—
560	C₂×C₃×D₄	—	4	1	no	—
561	C₂×C₃×D₄	—	4	1	no	—
562	C₂×C₃×D₄	—	4	1	no	—
563	C₂×C₃×D₄	—	4	1	no	—
564	C₂×C₃×D₄	—	4	1	no	—
565	C₂×C₃×D₄	—	4	1	no	—
566	C₂×C₃×D₄	—	4	1	no	—
567	C₂×C₃×D₄	—	4	1	no	—
568	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
569	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
570	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
571	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
572	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
573	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
574	C₂²×C₃×C₄	—	2	2	no	—
575	C₂²×C₃×C₄	—	4	1	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	—	4	1	no	—
594	C₂²×C₃×C₄	—	4	1	no	—
595	C₂²×C₃×C₄	—	4	1	no	—
596	C₂²×C₃×C₄	—	4	1	no	—
597	C₂²×C₃×C₄	—	4	1	no	—
598	C₂²×C₃×C₄	—	4	1	no	—
599	C₂²×C₃×C₄	—	4	1	no	—
600	C₂²×C₃×C₄	—	4	1	no	—
601	C₂²×C₃×C₄	—	4	1	no	—
602	C₂²×C₃×C₄	—	4	1	no	—
603	C₂²×C₃×C₄	—	4	1	no	—
604	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
605	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
606	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
607	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
608	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
609	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
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	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
625	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
626	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
627	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
628	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
629	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
630	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
631	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
632	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
633	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
634	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
635	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
636	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
641	C₃×C₄⋊C₄	—	4	1	no	—
642	C₃×C₄⋊C₄	—	4	1	no	—
643	C₃×C₄⋊C₄	—	4	1	no	—
644	C₃×C₄⋊C₄	—	4	1	no	—
645	C₃×C₄⋊C₄	—	4	1	no	—
646	C₃×C₄⋊C₄	—	4	1	no	—
647	C₃×C₄⋊C₄	—	4	1	no	—
648	C₃×C₄⋊C₄	—	4	1	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	C₂²×C₄	1	4	yes	—
658	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
659	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
660	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
661	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
662	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
663	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
664	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
665	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
666	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
667	C₃×C₂²⋊C₄	—	2	2	no	—
668	C₃×C₂²⋊C₄	—	2	2	no	—
669	C₃×C₂²⋊C₄	—	2	2	no	—
670	C₃×C₂²⋊C₄	—	4	1	no	—
671	C₃×C₂²⋊C₄	—	4	1	no	—
672	C₃×C₂²⋊C₄	—	4	1	no	—
673	C₃×C₂²⋊C₄	—	4	1	no	—
674	C₃×C₂²⋊C₄	—	4	1	no	—
675	C₃×C₂²⋊C₄	—	4	1	no	—
676	C₃×C₂²⋊C₄	—	4	1	no	—
677	C₃×C₂²⋊C₄	—	4	1	no	—
678	C₃×C₂²⋊C₄	—	4	1	no	—
679	C₃×C₂²⋊C₄	—	4	1	no	—
680	C₃×C₂²⋊C₄	—	4	1	no	—
681	C₃×C₂²⋊C₄	—	4	1	no	—
682	C₃×C₂²⋊C₄	—	4	1	no	—
683	C₃×C₂²⋊C₄	—	4	1	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	—	4	1	no	—
690	C₃×C₂²⋊C₄	—	4	1	no	—
691	C₃×C₂²⋊C₄	—	4	1	no	—
692	C₃×C₂²⋊C₄	—	4	1	no	—
693	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
694	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
695	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
696	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
697	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
698	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
699	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
700	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
701	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
702	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
703	C₃×C₄²	—	2	2	no	—
704	C₃×C₄²	—	2	2	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	—	4	1	no	—
710	C₃×C₄²	—	4	1	no	—
711	C₃×C₄²	—	4	1	no	—
712	C₃×C₄²	—	4	1	no	—
713	C₃×C₄²	—	4	1	no	—
714	C₃×C₄²	—	4	1	no	—
715	C₃×C₄²	—	4	1	no	—
716	C₃×C₄²	—	4	1	no	—
717	C₃×C₄²	—	4	1	no	—
718	C₃×C₄²	—	4	1	no	—
719	C₃×C₄²	—	4	1	no	—
720	C₃×C₄²	—	4	1	no	—
721	C₃×C₄²	—	4	1	no	—
722	C₃×C₄²	—	4	1	no	—
723	C₃×C₄²	C₂²×C₄	1	4	yes	—
724	C₃×C₄²	C₂²×C₄	1	4	yes	—
725	C₃×C₄²	C₂²×C₄	1	4	yes	—
726	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
727	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
728	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
729	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
730	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
731	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
732	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
733	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
734	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
735	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
736	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
737	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
738	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
739	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
740	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
741	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
742	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
743	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
744	#126	C₂×C₃×C₄	1	8	yes	complemented
745	#126	C₂×C₃×C₄	1	8	yes	complemented
746	#125	C₂×C₃×C₄	1	8	yes	complemented
747	#123	C₂×C₃×C₄	1	8	yes	complemented
748	#123	C₂×C₃×C₄	1	8	yes	complemented
749	#121	C₂×C₃×C₄	1	8	yes	—
750	#121	C₂×C₃×C₄	1	8	yes	complemented
751	#121	C₂×C₃×C₄	1	8	yes	complemented
752	#121	C₂×C₃×C₄	1	8	yes	complemented
753	C₄×D₄	—	4	2	no	—
754	C₄×D₄	—	4	2	no	—
755	C₄×D₄	C₂×C₃×C₄	1	8	yes	complemented
756	C₄×D₄	C₂×C₃×C₄	1	8	yes	complemented
757	C₄×D₄	C₂×C₃×C₄	1	8	yes	complemented
758	C₄×D₄	C₂×C₃×C₄	1	8	yes	complemented
759	#117	—	4	2	no	—
760	#117	—	4	2	no	—
761	#117	—	4	2	no	—
762	#117	C₂×C₃×C₄	1	8	yes	complemented
763	C₂×C₄⋊C₄	—	4	2	no	—
764	C₂×C₄⋊C₄	C₂×C₃×C₄	1	8	yes	complemented
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×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
814	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
815	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
816	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
817	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
818	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
819	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
820	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
821	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
822	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
823	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
824	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
825	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
826	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
827	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
828	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
829	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
830	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
831	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
832	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
833	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
834	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
835	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
836	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
837	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
838	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
839	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
840	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
841	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
842	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
843	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
844	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
845	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
846	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
847	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
848	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
849	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
850	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
851	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
852	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
853	C₂×C₄²	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	#95	C₂³×C₃	1	1	yes	characteristic
885	#95	C₂³×C₃	1	1	yes	characteristic
886	#95	C₂³×C₃	1	1	yes	characteristic
887	#95	C₂³×C₃	1	1	yes	characteristic
888	#95	C₂³×C₃	1	1	yes	characteristic
889	#95	C₂³×C₃	1	1	yes	characteristic
890	#95	C₂³×C₃	1	1	yes	characteristic
891	#95	C₂³×C₃	1	1	yes	characteristic
892	#95	C₂³×C₃	1	1	yes	characteristic
893	#95	C₂³×C₃	1	1	yes	characteristic
894	#95	C₂³×C₃	1	1	yes	characteristic
895	#95	C₂³×C₃	1	1	yes	characteristic
896	#95	C₂³×C₃	1	1	yes	characteristic
897	#95	C₂³×C₃	1	1	yes	characteristic
898	#95	C₂³×C₃	1	1	yes	characteristic
899	#95	C₂³×C₃	1	1	yes	characteristic
900	#95	C₂³×C₃	1	1	yes	characteristic
901	#95	C₂³×C₃	1	1	yes	characteristic
902	C₂³×C₃	—	2	1	no	—
903	C₂³×C₃	—	2	1	no	—
904	C₂³×C₃	—	2	1	no	—
905	C₂³×C₃	—	2	1	no	—
906	C₂³×C₃	—	2	1	no	—
907	C₂³×C₃	—	2	1	no	—
908	C₂³×C₃	—	2	1	no	—
909	C₂³×C₃	—	2	1	no	—
910	C₂³×C₃	—	2	1	no	—
911	C₂³×C₃	—	2	1	no	—
912	C₂³×C₃	—	2	1	no	—
913	C₂³×C₃	—	2	1	no	—
914	C₂³×C₃	—	2	1	no	—
915	C₂³×C₃	—	2	1	no	—
916	C₂³×C₃	—	2	1	no	—
917	C₂³×C₃	—	2	1	no	—
918	C₂³×C₃	—	2	1	no	—
919	C₂³×C₃	—	2	1	no	—
920	C₂³×C₃	—	2	1	no	—
921	C₂³×C₃	—	2	1	no	—
922	C₂³×C₃	—	2	1	no	—
923	C₂³×C₃	—	2	1	no	—
924	C₂³×C₃	—	2	1	no	—
925	C₂³×C₃	—	2	1	no	—
926	C₂³×C₃	C₂³×C₄	1	2	yes	—
927	C₂³×C₃	C₂³×C₄	1	2	yes	—
928	C₂³×C₃	C₂³×C₄	1	2	yes	—
929	C₂³×C₃	C₂³×C₄	1	2	yes	—
930	C₂³×C₃	C₂⁵	1	1	yes	characteristic
931	C₃×D₄	—	4	4	no	—
932	C₃×D₄	—	4	4	no	—
933	C₃×D₄	—	4	4	no	—
934	C₃×D₄	—	4	4	no	—
935	C₃×D₄	—	4	4	no	—
936	C₃×D₄	—	4	4	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	—	2	1	no	—
980	C₂×C₃×C₄	—	2	1	no	—
981	C₂×C₃×C₄	—	2	1	no	—
982	C₂×C₃×C₄	—	2	1	no	—
983	C₂×C₃×C₄	—	2	1	no	—
984	C₂×C₃×C₄	—	2	1	no	—
985	C₂×C₃×C₄	—	2	1	no	—
986	C₂×C₃×C₄	—	2	1	no	—
987	C₂×C₃×C₄	—	2	1	no	—
988	C₂×C₃×C₄	—	2	1	no	—
989	C₂×C₃×C₄	—	2	1	no	—
990	C₂×C₃×C₄	—	2	1	no	—
991	C₂×C₃×C₄	—	2	1	no	—
992	C₂×C₃×C₄	—	2	1	no	—
993	C₂×C₃×C₄	—	2	1	no	—
994	C₂×C₃×C₄	—	2	1	no	—
995	C₂×C₃×C₄	—	2	1	no	—
996	C₂×C₃×C₄	—	2	1	no	—
997	C₂×C₃×C₄	—	2	1	no	—
998	C₂×C₃×C₄	—	2	1	no	—
999	C₂×C₃×C₄	—	2	1	no	—
1000	C₂×C₃×C₄	—	2	1	no	—
1001	C₂×C₃×C₄	—	2	1	no	—
1002	C₂×C₃×C₄	—	2	1	no	—
1003	C₂×C₃×C₄	—	2	1	no	—
1004	C₂×C₃×C₄	—	2	1	no	—
1005	C₂×C₃×C₄	—	2	1	no	—
1006	C₂×C₃×C₄	—	4	4	no	—
1007	C₂×C₃×C₄	—	4	4	no	—
1008	C₂×C₃×C₄	—	4	4	no	—
1009	C₂×C₃×C₄	—	4	4	no	—
1010	C₂×C₃×C₄	—	4	4	no	—
1011	C₂×C₃×C₄	—	4	4	no	—
1012	C₂×C₃×C₄	—	8	2	no	—
1013	C₂×C₃×C₄	—	8	2	no	—
1014	C₂×C₃×C₄	—	8	2	no	—
1015	C₂×C₃×C₄	—	8	2	no	—
1016	C₂×C₃×C₄	—	8	2	no	—
1017	C₂×C₃×C₄	—	8	2	no	—
1018	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1019	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1020	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1021	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1022	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1023	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1024	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1025	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1026	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1027	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1028	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1029	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1030	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1031	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1032	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1033	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1034	C₂×D₄	—	4	1	no	—
1035	C₂×D₄	—	4	1	no	—
1036	C₂×D₄	—	4	1	no	—
1037	C₂×D₄	—	4	1	no	—
1038	C₂×D₄	—	4	1	no	—
1039	C₂×D₄	—	4	1	no	—
1040	C₂×D₄	—	4	1	no	—
1041	C₂×D₄	—	4	1	no	—
1042	C₂×D₄	—	4	1	no	—
1043	C₂×D₄	—	4	1	no	—
1044	C₂×D₄	—	4	1	no	—
1045	C₂×D₄	—	4	1	no	—
1046	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1047	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1048	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1049	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1050	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1051	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1052	C₂²×C₄	—	2	2	no	—
1053	C₂²×C₄	—	4	1	no	—
1054	C₂²×C₄	—	4	1	no	—
1055	C₂²×C₄	—	4	1	no	—
1056	C₂²×C₄	—	4	1	no	—
1057	C₂²×C₄	—	4	1	no	—
1058	C₂²×C₄	—	4	1	no	—
1059	C₂²×C₄	—	4	1	no	—
1060	C₂²×C₄	—	4	1	no	—
1061	C₂²×C₄	—	4	1	no	—
1062	C₂²×C₄	—	4	1	no	—
1063	C₂²×C₄	—	4	1	no	—
1064	C₂²×C₄	—	4	1	no	—
1065	C₂²×C₄	—	4	1	no	—
1066	C₂²×C₄	—	4	1	no	—
1067	C₂²×C₄	—	4	1	no	—
1068	C₂²×C₄	—	4	1	no	—
1069	C₂²×C₄	—	4	1	no	—
1070	C₂²×C₄	—	4	1	no	—
1071	C₂²×C₄	—	4	1	no	—
1072	C₂²×C₄	—	4	1	no	—
1073	C₂²×C₄	—	4	1	no	—
1074	C₂²×C₄	—	4	1	no	—
1075	C₂²×C₄	—	4	1	no	—
1076	C₂²×C₄	—	4	1	no	—
1077	C₂²×C₄	—	4	1	no	—
1078	C₂²×C₄	—	4	1	no	—
1079	C₂²×C₄	—	4	1	no	—
1080	C₂²×C₄	—	4	1	no	—
1081	C₂²×C₄	—	4	1	no	—
1082	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
1083	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
1084	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
1085	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
1086	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
1087	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
1088	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1089	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1090	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1091	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1092	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1093	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1094	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1095	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1096	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1097	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1098	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1099	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1100	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1101	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1102	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1103	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1104	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1105	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1106	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1107	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1108	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1109	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1110	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1111	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1112	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1113	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1114	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1115	C₄⋊C₄	—	2	2	no	—
1116	C₄⋊C₄	—	2	2	no	—
1117	C₄⋊C₄	—	2	2	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	—	4	1	no	—
1128	C₄⋊C₄	—	4	1	no	—
1129	C₄⋊C₄	—	4	1	no	—
1130	C₄⋊C₄	—	4	1	no	—
1131	C₄⋊C₄	—	4	1	no	—
1132	C₄⋊C₄	—	4	1	no	—
1133	C₄⋊C₄	—	4	1	no	—
1134	C₄⋊C₄	—	4	1	no	—
1135	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1136	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1137	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1138	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1139	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1140	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1141	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1142	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1143	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1144	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1145	C₂²⋊C₄	—	2	2	no	—
1146	C₂²⋊C₄	—	2	2	no	—
1147	C₂²⋊C₄	—	2	2	no	—
1148	C₂²⋊C₄	—	4	1	no	—
1149	C₂²⋊C₄	—	4	1	no	—
1150	C₂²⋊C₄	—	4	1	no	—
1151	C₂²⋊C₄	—	4	1	no	—
1152	C₂²⋊C₄	—	4	1	no	—
1153	C₂²⋊C₄	—	4	1	no	—
1154	C₂²⋊C₄	—	4	1	no	—
1155	C₂²⋊C₄	—	4	1	no	—
1156	C₂²⋊C₄	—	4	1	no	—
1157	C₂²⋊C₄	—	4	1	no	—
1158	C₂²⋊C₄	—	4	1	no	—
1159	C₂²⋊C₄	—	4	1	no	—
1160	C₂²⋊C₄	—	4	1	no	—
1161	C₂²⋊C₄	—	4	1	no	—
1162	C₂²⋊C₄	—	4	1	no	—
1163	C₂²⋊C₄	—	4	1	no	—
1164	C₂²⋊C₄	—	4	1	no	—
1165	C₂²⋊C₄	—	4	1	no	—
1166	C₂²⋊C₄	—	4	1	no	—
1167	C₂²⋊C₄	—	4	1	no	—
1168	C₂²⋊C₄	—	4	1	no	—
1169	C₂²⋊C₄	—	4	1	no	—
1170	C₂²⋊C₄	—	4	1	no	—
1171	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1172	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1173	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1174	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1175	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1176	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1177	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1178	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1179	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1180	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1181	C₄²	—	2	2	no	—
1182	C₄²	—	2	2	no	—
1183	C₄²	—	4	1	no	—
1184	C₄²	—	4	1	no	—
1185	C₄²	—	4	1	no	—
1186	C₄²	—	4	1	no	—
1187	C₄²	—	4	1	no	—
1188	C₄²	—	4	1	no	—
1189	C₄²	—	4	1	no	—
1190	C₄²	—	4	1	no	—
1191	C₄²	—	4	1	no	—
1192	C₄²	—	4	1	no	—
1193	C₄²	—	4	1	no	—
1194	C₄²	—	4	1	no	—
1195	C₄²	—	4	1	no	—
1196	C₄²	—	4	1	no	—
1197	C₄²	—	4	1	no	—
1198	C₄²	—	4	1	no	—
1199	C₄²	—	4	1	no	—
1200	C₄²	—	4	1	no	—
1201	C₄²	C₂²×C₃×C₄	1	4	yes	—
1202	C₄²	C₂²×C₃×C₄	1	4	yes	—
1203	C₄²	C₂²×C₃×C₄	1	4	yes	—
1204	C₂²×C₃	—	2	2	no	—
1205	C₂²×C₃	—	2	2	no	—
1206	C₂²×C₃	—	2	2	no	—
1207	C₂²×C₃	—	2	2	no	—
1208	C₂²×C₃	—	2	2	no	—
1209	C₂²×C₃	—	2	2	no	—
1210	C₂²×C₃	—	2	2	no	—
1211	C₂²×C₃	—	2	2	no	—
1212	C₂²×C₃	—	2	2	no	—
1213	C₂²×C₃	—	2	2	no	—
1214	C₂²×C₃	—	2	2	no	—
1215	C₂²×C₃	—	2	2	no	—
1216	C₂²×C₃	—	4	1	no	—
1217	C₂²×C₃	—	4	1	no	—
1218	C₂²×C₃	—	4	1	no	—
1219	C₂²×C₃	—	4	1	no	—
1220	C₂²×C₃	—	4	1	no	—
1221	C₂²×C₃	—	4	1	no	—
1222	C₂²×C₃	—	4	1	no	—
1223	C₂²×C₃	—	4	1	no	—
1224	C₂²×C₃	—	4	1	no	—
1225	C₂²×C₃	—	4	1	no	—
1226	C₂²×C₃	—	4	1	no	—
1227	C₂²×C₃	—	4	1	no	—
1228	C₂²×C₃	—	4	1	no	—
1229	C₂²×C₃	—	4	1	no	—
1230	C₂²×C₃	—	4	1	no	—
1231	C₂²×C₃	—	4	1	no	—
1232	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1233	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1234	C₂²×C₃	#585	1	1	yes	characteristic
1235	C₂²×C₃	#585	1	1	yes	characteristic
1236	C₂²×C₃	#585	1	1	yes	characteristic
1237	C₂²×C₃	#585	1	1	yes	characteristic
1238	C₂²×C₃	#585	1	1	yes	characteristic
1239	C₃×C₄	—	2	2	no	—
1240	C₃×C₄	—	2	2	no	—
1241	C₃×C₄	—	2	2	no	—
1242	C₃×C₄	—	2	2	no	—
1243	C₃×C₄	—	2	2	no	—
1244	C₃×C₄	—	2	2	no	—
1245	C₃×C₄	—	2	2	no	—
1246	C₃×C₄	—	2	2	no	—
1247	C₃×C₄	—	2	2	no	—
1248	C₃×C₄	—	2	2	no	—
1249	C₃×C₄	—	2	2	no	—
1250	C₃×C₄	—	2	2	no	—
1251	C₃×C₄	—	4	1	no	—
1252	C₃×C₄	—	4	1	no	—
1253	C₃×C₄	—	4	1	no	—
1254	C₃×C₄	—	4	1	no	—
1255	C₃×C₄	—	4	1	no	—
1256	C₃×C₄	—	4	1	no	—
1257	C₃×C₄	—	4	1	no	—
1258	C₃×C₄	—	4	1	no	—
1259	C₃×C₄	—	4	1	no	—
1260	C₃×C₄	—	4	1	no	—
1261	C₃×C₄	—	4	1	no	—
1262	C₃×C₄	—	4	1	no	—
1263	C₃×C₄	—	4	1	no	—
1264	C₃×C₄	—	4	1	no	—
1265	C₃×C₄	—	4	1	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	2	1	no	—
1268	C₂³	—	2	1	no	—
1269	C₂³	—	2	1	no	—
1270	C₂³	—	2	1	no	—
1271	C₂³	—	2	1	no	—
1272	C₂³	—	2	1	no	—
1273	C₂³	—	2	1	no	—
1274	C₂³	—	2	1	no	—
1275	C₂³	—	2	1	no	—
1276	C₂³	—	2	1	no	—
1277	C₂³	—	2	1	no	—
1278	C₂³	—	2	1	no	—
1279	C₂³	—	2	1	no	—
1280	C₂³	—	2	1	no	—
1281	C₂³	—	2	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	C₂³×C₃×C₄	1	2	yes	—
1291	C₂³	C₂³×C₃×C₄	1	2	yes	—
1292	C₂³	C₂³×C₃×C₄	1	2	yes	—
1293	C₂³	C₂³×C₃×C₄	1	2	yes	—
1294	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1295	D₄	—	4	4	no	—
1296	D₄	—	4	4	no	—
1297	D₄	—	4	4	no	—
1298	D₄	—	4	4	no	—
1299	D₄	—	4	4	no	—
1300	D₄	—	4	4	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	4	4	no	—
1371	C₂×C₄	—	4	4	no	—
1372	C₂×C₄	—	4	4	no	—
1373	C₂×C₄	—	4	4	no	—
1374	C₂×C₄	—	4	4	no	—
1375	C₂×C₄	—	4	4	no	—
1376	C₂×C₄	—	8	2	no	—
1377	C₂×C₄	—	8	2	no	—
1378	C₂×C₄	—	8	2	no	—
1379	C₂×C₄	—	8	2	no	—
1380	C₂×C₄	—	8	2	no	—
1381	C₂×C₄	—	8	2	no	—
1382	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1383	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1384	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1385	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1386	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1387	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1388	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1389	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1390	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1391	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1392	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1393	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1394	C₂×C₃	—	4	2	no	—
1395	C₂×C₃	—	4	2	no	—
1396	C₂×C₃	—	4	2	no	—
1397	C₂×C₃	—	4	2	no	—
1398	C₂×C₃	#3428	1	1	yes	characteristic
1399	C₂×C₃	#3428	1	1	yes	characteristic
1400	C₂×C₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1401	C₂×C₃	#3560	1	1	yes	characteristic
1402	C₂×C₃	#3562	1	1	yes	characteristic
1403	C₂×C₃	#3566	1	1	yes	characteristic
1404	C₂×C₃	#3567	1	1	yes	characteristic
1405	C₂²	—	2	2	no	—
1406	C₂²	—	2	2	no	—
1407	C₂²	—	2	2	no	—
1408	C₂²	—	2	2	no	—
1409	C₂²	—	2	2	no	—
1410	C₂²	—	2	2	no	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	2	2	no	—
1413	C₂²	—	2	2	no	—
1414	C₂²	—	2	2	no	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	4	1	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	4	1	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	C₂⁴×C₃×C₄	1	1	yes	characteristic
1434	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1435	C₂²	C₃×#585	1	1	yes	characteristic
1436	C₂²	C₃×#585	1	1	yes	characteristic
1437	C₂²	C₃×#585	1	1	yes	characteristic
1438	C₂²	C₃×#585	1	1	yes	characteristic
1439	C₂²	C₃×#585	1	1	yes	characteristic
1440	C₄	—	2	2	no	—
1441	C₄	—	2	2	no	—
1442	C₄	—	2	2	no	—
1443	C₄	—	2	2	no	—
1444	C₄	—	2	2	no	—
1445	C₄	—	2	2	no	—
1446	C₄	—	2	2	no	—
1447	C₄	—	2	2	no	—
1448	C₄	—	2	2	no	—
1449	C₄	—	2	2	no	—
1450	C₄	—	2	2	no	—
1451	C₄	—	2	2	no	—
1452	C₄	—	4	1	no	—
1453	C₄	—	4	1	no	—
1454	C₄	—	4	1	no	—
1455	C₄	—	4	1	no	—
1456	C₄	—	4	1	no	—
1457	C₄	—	4	1	no	—
1458	C₄	—	4	1	no	—
1459	C₄	—	4	1	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₃	#34506	1	1	yes	characteristic, direct product factor, Sylow
1468	C₂	—	4	2	no	—
1469	C₂	—	4	2	no	—
1470	C₂	—	4	2	no	—
1471	C₂	—	4	2	no	—
1472	C₂	C₃×#3428	1	1	yes	characteristic
1473	C₂	C₃×#3428	1	1	yes	characteristic
1474	C₂	C₃×C₄×H(5,𝔽₂)	1	1	yes	characteristic
1475	C₂	C₃×#3560	1	1	yes	characteristic
1476	C₂	C₃×#3562	1	1	yes	characteristic
1477	C₂	C₃×#3566	1	1	yes	characteristic
1478	C₂	C₃×#3567	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator	C₂²	C₂⁴×C₃×C₄
Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₂×C₃×#553	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₃×#2382	C₂	semidirect
3. C₃×#2377	C₂	semidirect
4. C₃×#2377	C₂	semidirect
5. C₃×#2376	C₂	semidirect
6. C₃×#2373	C₂	semidirect
7. C₃×#2373	C₂	semidirect
8. C₃×#2364	C₂	semidirect
9. C₃×#2363	C₂	semidirect
10. C₃×#2359	C₂	semidirect
11. C₃×#2357	C₂	semidirect
12. C₃×#2353	C₂	semidirect
13. C₃×#2352	C₂	semidirect
14. C₃×#2352	C₂	semidirect
15. C₃×#2344	C₂	semidirect
16. C₃×#2343	C₂	semidirect
17. C₃×#2336	C₂	semidirect
18. C₃×#2335	C₂	semidirect
19. C₃×#2334	C₂	semidirect
20. C₃×#2333	C₂	semidirect
21. C₃×#2333	C₂	semidirect
22. C₃×#2333	C₂	semidirect
23. C₃×#2324	C₂	semidirect
24. C₃×#2322	C₂	semidirect
25. C₃×#2319	C₂	semidirect
26. C₃×#2318	C₂	semidirect
27. C₃×#2318	C₂	semidirect
28. C₃×#2313	C₂	semidirect
29. C₃×C₄×#126	C₂	semidirect
30. C₃×#2298	C₂	semidirect
31. C₃×#2293	C₂	semidirect
32. #34506	C₃	direct (N × H)
33. C₃×#553	C₄	semidirect
190. #2382	C₂×C₃	semidirect
191. #2377	C₂×C₃	semidirect
192. #2377	C₂×C₃	semidirect
193. #2376	C₂×C₃	semidirect
194. #2373	C₂×C₃	semidirect
195. #2373	C₂×C₃	semidirect
196. #2364	C₂×C₃	semidirect
197. #2363	C₂×C₃	semidirect
198. #2359	C₂×C₃	semidirect
199. #2357	C₂×C₃	semidirect
200. #2353	C₂×C₃	semidirect
201. #2352	C₂×C₃	semidirect
202. #2352	C₂×C₃	semidirect
203. #2344	C₂×C₃	semidirect
204. #2343	C₂×C₃	semidirect
205. #2336	C₂×C₃	semidirect
206. #2335	C₂×C₃	semidirect
207. #2334	C₂×C₃	semidirect
208. #2333	C₂×C₃	semidirect
209. #2333	C₂×C₃	semidirect
210. #2333	C₂×C₃	semidirect
211. #2324	C₂×C₃	semidirect
212. #2322	C₂×C₃	semidirect
213. #2319	C₂×C₃	semidirect
214. #2318	C₂×C₃	semidirect
215. #2318	C₂×C₃	semidirect
216. #2313	C₂×C₃	semidirect
217. C₄×#126	C₂×C₃	semidirect
218. #2298	C₂×C₃	semidirect
219. #2293	C₂×C₃	semidirect
238. C₃×#126	C₂×C₄	semidirect
239. C₃×#126	C₂×C₄	semidirect
240. C₃×#125	C₂×C₄	semidirect
241. C₃×#123	C₂×C₄	semidirect
242. C₃×#123	C₂×C₄	semidirect
244. C₃×#121	C₂×C₄	semidirect
245. C₃×#121	C₂×C₄	semidirect
246. C₃×#121	C₂×C₄	semidirect
249. C₃×C₄×D₄	C₂×C₄	semidirect
250. C₃×C₄×D₄	C₂×C₄	semidirect
251. C₃×C₄×D₄	C₂×C₄	semidirect
252. C₃×C₄×D₄	C₂×C₄	semidirect
256. C₃×#117	C₂×C₄	semidirect
258. C₂×C₃×C₄⋊C₄	C₂×C₄	semidirect
396. #553	C₃×C₄	semidirect
744. #126	C₂×C₃×C₄	semidirect
745. #126	C₂×C₃×C₄	semidirect
746. #125	C₂×C₃×C₄	semidirect
747. #123	C₂×C₃×C₄	semidirect
748. #123	C₂×C₃×C₄	semidirect
750. #121	C₂×C₃×C₄	semidirect
751. #121	C₂×C₃×C₄	semidirect
752. #121	C₂×C₃×C₄	semidirect
755. C₄×D₄	C₂×C₃×C₄	semidirect
756. C₄×D₄	C₂×C₃×C₄	semidirect
757. C₄×D₄	C₂×C₃×C₄	semidirect
758. C₄×D₄	C₂×C₃×C₄	semidirect
762. #117	C₂×C₃×C₄	semidirect
764. C₂×C₄⋊C₄	C₂×C₃×C₄	semidirect
1467. C₃	#34506	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×#553	2
C₃×#2382	2
C₃×#2377	2
C₃×#2376	2
C₃×#2373	2
C₃×#2364	2
C₃×#2363	2
C₃×#2359	2
C₃×#2357	2
C₃×#2353	2
C₃×#2352	2
C₃×#2344	2
C₃×#2343	2
C₃×#2336	2
C₃×#2335	2
C₃×#2334	2
C₃×#2333	2
C₃×#2324	2
C₃×#2322	2
C₃×#2319	2
C₃×#2318	2
C₃×#2313	2
C₃×C₄×#126	2
C₃×#2298	2
C₃×#2293	2
#34506	3

Subgroups — C3×#34506 #10653113

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#34506 #10653113