Subgroups — C₃×#34501 #10653108

Order 768.

1924 conjugacy classes of subgroups.

The subgroup lattice has 1348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#552	C₂	1	1	yes	maximal, characteristic
2	C₃×#2383	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2382	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2378	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2376	C₂	1	1	yes	maximal, characteristic
6	C₃×#2374	C₂	1	1	yes	maximal, characteristic
7	C₃×#2373	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2371	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2370	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2368	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2357	C₂	1	1	yes	maximal, characteristic
12	C₃×#2355	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2347	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2346	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2345	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×#2336	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2335	C₂	1	1	yes	maximal, characteristic
20	C₃×#2335	C₂	1	1	yes	maximal, characteristic
21	C₃×#2334	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2334	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2332	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#2332	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#2320	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2318	C₂	1	1	yes	maximal, characteristic
27	C₃×#2314	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2313	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×C₄×#125	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#2298	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#2298	C₂	1	1	yes	maximal, characteristic, complemented
32	#34501	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₃×#552	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×#125	C₂²	1	1	yes	characteristic
38	C₂×C₃×#125	C₂²	1	1	yes	characteristic
39	C₂×C₃×#123	C₂²	1	1	yes	characteristic
40	C₂×C₃×#123	C₂²	1	1	yes	characteristic
41	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₂×C₃×C₂²⋊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×#117	C₂²	1	1	yes	characteristic
46	C₂×C₃×#117	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	C₃×#391	C₂²	1	1	yes	characteristic
50	C₃×#391	C₂²	1	1	yes	characteristic
51	C₃×#391	C₂²	1	1	yes	characteristic
52	C₃×#391	C₂²	1	1	yes	characteristic
53	C₃×#390	C₂²	1	1	yes	characteristic
54	C₃×#390	C₂²	1	1	yes	characteristic
55	C₃×#389	C₂²	1	1	yes	characteristic
56	C₃×#389	C₂²	1	1	yes	characteristic
57	C₃×#389	C₂²	1	1	yes	characteristic
58	C₃×#389	C₂²	1	1	yes	characteristic
59	C₃×#389	C₂²	1	1	yes	characteristic
60	C₃×#389	C₂²	1	1	yes	characteristic
61	C₃×#389	C₂²	1	1	yes	characteristic
62	C₃×#389	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×#388	C₂²	1	1	yes	characteristic
68	C₃×#388	C₂²	1	1	yes	characteristic
69	C₃×#388	C₂²	1	1	yes	characteristic
70	C₃×#388	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×#387	C₂²	1	1	yes	characteristic
90	C₃×#387	C₂²	1	1	yes	characteristic
91	C₃×#387	C₂²	1	1	yes	characteristic
92	C₃×#387	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×#387	C₂²	1	1	yes	characteristic
120	C₃×#387	C₂²	1	1	yes	characteristic
121	C₃×#387	C₂²	1	1	yes	characteristic
122	C₃×#387	C₂²	1	1	yes	characteristic
123	C₃×#387	C₂²	1	1	yes	characteristic
124	C₃×#387	C₂²	1	1	yes	characteristic
125	C₃×#387	C₂²	1	1	yes	characteristic
126	C₃×#387	C₂²	1	1	yes	characteristic
127	C₃×#386	C₂²	1	1	yes	characteristic
128	C₃×#386	C₂²	1	1	yes	characteristic
129	C₃×#385	C₂²	1	1	yes	characteristic
130	C₃×#385	C₂²	1	1	yes	characteristic
131	C₃×#385	C₂²	1	1	yes	characteristic
132	C₃×#385	C₂²	1	1	yes	characteristic
133	C₃×#385	C₂²	1	1	yes	characteristic
134	C₃×#385	C₂²	1	1	yes	characteristic
135	C₃×#384	C₂²	1	1	yes	characteristic
136	C₃×#383	C₂²	1	1	yes	characteristic
137	C₃×#383	C₂²	1	1	yes	characteristic
138	C₃×#383	C₂²	1	1	yes	characteristic
139	C₃×#382	C₂²	1	1	yes	characteristic
140	C₃×#382	C₂²	1	1	yes	characteristic
141	C₃×#382	C₂²	1	1	yes	characteristic
142	C₃×#382	C₂²	1	1	yes	characteristic
143	C₃×#382	C₂²	1	1	yes	characteristic
144	C₃×#381	C₂²	1	1	yes	characteristic
145	C₃×#381	C₂²	1	1	yes	characteristic
146	C₃×#381	C₂²	1	1	yes	characteristic
147	C₃×#380	C₂²	1	1	yes	characteristic
148	C₃×#380	C₂²	1	1	yes	characteristic
149	C₃×#380	C₂²	1	1	yes	characteristic
150	C₃×#380	C₂²	1	1	yes	characteristic
151	C₃×#380	C₂²	1	1	yes	characteristic
152	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
153	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
154	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
155	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
156	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
157	C₃×C₄×C₄⋊C₄	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×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×C₄⋊C₄	C₂²	1	1	yes	characteristic
172	C₃×C₄×C₄⋊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	C₃×#376	C₂²	1	1	yes	characteristic
187	C₂×C₃×#95	C₂²	1	1	yes	characteristic
188	C₃×C₄³	C₂²	1	1	yes	characteristic
189	C₂×#552	C₂×C₃	1	1	yes	characteristic
190	#2383	C₂×C₃	1	1	yes	characteristic, complemented
191	#2382	C₂×C₃	1	1	yes	characteristic, complemented
192	#2378	C₂×C₃	1	1	yes	characteristic, complemented
193	#2376	C₂×C₃	1	1	yes	characteristic
194	#2374	C₂×C₃	1	1	yes	characteristic
195	#2373	C₂×C₃	1	1	yes	characteristic, complemented
196	#2371	C₂×C₃	1	1	yes	characteristic, complemented
197	#2370	C₂×C₃	1	1	yes	characteristic, complemented
198	#2368	C₂×C₃	1	1	yes	characteristic, complemented
199	#2357	C₂×C₃	1	1	yes	characteristic
200	#2355	C₂×C₃	1	1	yes	characteristic, complemented
201	#2347	C₂×C₃	1	1	yes	characteristic, complemented
202	#2346	C₂×C₃	1	1	yes	characteristic, complemented
203	#2345	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	#2336	C₂×C₃	1	1	yes	characteristic, complemented
207	#2335	C₂×C₃	1	1	yes	characteristic
208	#2335	C₂×C₃	1	1	yes	characteristic
209	#2334	C₂×C₃	1	1	yes	characteristic, complemented
210	#2334	C₂×C₃	1	1	yes	characteristic, complemented
211	#2332	C₂×C₃	1	1	yes	characteristic, complemented
212	#2332	C₂×C₃	1	1	yes	characteristic, complemented
213	#2320	C₂×C₃	1	1	yes	characteristic, complemented
214	#2318	C₂×C₃	1	1	yes	characteristic
215	#2314	C₂×C₃	1	1	yes	characteristic, complemented
216	#2313	C₂×C₃	1	1	yes	characteristic, complemented
217	C₄×#125	C₂×C₃	1	1	yes	characteristic, complemented
218	#2298	C₂×C₃	1	1	yes	characteristic, complemented
219	#2298	C₂×C₃	1	1	yes	characteristic, complemented
220	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
221	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
222	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
223	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
224	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
225	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	C₃×#126	C₂×C₄	1	8	yes	—
229	C₃×#126	C₂×C₄	1	8	yes	—
230	C₃×#125	C₂×C₄	1	8	yes	complemented
231	C₃×#125	C₂×C₄	1	8	yes	complemented
232	C₃×#125	C₂×C₄	1	8	yes	complemented
233	C₃×#123	C₂×C₄	1	8	yes	—
234	C₃×#123	C₂×C₄	1	8	yes	—
235	C₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	—
236	C₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
237	C₃×C₄×Q₈	C₂×C₄	1	8	yes	complemented
238	C₃×C₄×D₄	C₂×C₄	1	8	yes	—
239	C₃×#117	C₂×C₄	1	8	yes	—
240	C₃×#117	C₂×C₄	1	8	yes	complemented
241	C₃×#117	C₂×C₄	1	8	yes	complemented
242	C₂×C₃×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
243	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₃×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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
306	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
307	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
308	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
309	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
310	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
311	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
312	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
313	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
314	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
315	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
316	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
317	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
318	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
319	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
320	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
321	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
322	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
323	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
324	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
325	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
326	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
327	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
328	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
329	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
330	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
331	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	C₃×#95	C₂³	1	1	yes	characteristic
335	C₃×#95	C₂³	1	1	yes	characteristic
336	C₃×#95	C₂³	1	1	yes	characteristic
337	C₃×#95	C₂³	1	1	yes	characteristic
338	C₃×#95	C₂³	1	1	yes	characteristic
339	C₃×#95	C₂³	1	1	yes	characteristic
340	C₃×#95	C₂³	1	1	yes	characteristic
341	C₃×#95	C₂³	1	1	yes	characteristic
342	C₃×#95	C₂³	1	1	yes	characteristic
343	C₃×#95	C₂³	1	1	yes	characteristic
344	C₃×#95	C₂³	1	1	yes	characteristic
345	C₃×#95	C₂³	1	1	yes	characteristic
346	C₃×#95	C₂³	1	1	yes	characteristic
347	C₃×#95	C₂³	1	1	yes	characteristic
348	C₃×#95	C₂³	1	1	yes	characteristic
349	C₃×#95	C₂³	1	1	yes	characteristic
350	C₃×#95	C₂³	1	1	yes	characteristic
351	C₃×#95	C₂³	1	1	yes	characteristic
352	C₃×#95	C₂³	1	1	yes	characteristic
353	C₃×#95	C₂³	1	1	yes	characteristic
354	C₃×#95	C₂³	1	1	yes	characteristic
355	C₃×#95	C₂³	1	1	yes	characteristic
356	C₃×#95	C₂³	1	1	yes	characteristic
357	C₃×#95	C₂³	1	1	yes	characteristic
358	C₃×#95	C₂³	1	1	yes	characteristic
359	C₃×#95	C₂³	1	1	yes	characteristic
360	C₃×#95	C₂³	1	1	yes	characteristic
361	C₃×#95	C₂³	1	1	yes	characteristic
362	C₃×#95	C₂³	1	1	yes	characteristic
363	C₃×#95	C₂³	1	1	yes	characteristic
364	C₃×#95	C₂³	1	1	yes	characteristic
365	C₃×#95	C₂³	1	1	yes	characteristic
366	C₃×#95	C₂³	1	1	yes	characteristic
367	C₃×#95	C₂³	1	1	yes	characteristic
368	C₃×#95	C₂³	1	1	yes	characteristic
369	C₃×#95	C₂³	1	1	yes	characteristic
370	C₃×#95	C₂³	1	1	yes	characteristic
371	C₃×#95	C₂³	1	1	yes	characteristic
372	C₃×#95	C₂³	1	1	yes	characteristic
373	C₃×#95	C₂³	1	1	yes	characteristic
374	C₃×#95	C₂³	1	1	yes	characteristic
375	C₃×#95	C₂³	1	1	yes	characteristic
376	C₃×#95	C₂³	1	1	yes	characteristic
377	C₃×#95	C₂³	1	1	yes	characteristic
378	C₃×#95	C₂³	1	1	yes	characteristic
379	C₃×#95	C₂³	1	1	yes	characteristic
380	C₃×#95	C₂³	1	1	yes	characteristic
381	C₃×#95	C₂³	1	1	yes	characteristic
382	C₃×#95	C₂³	1	1	yes	characteristic
383	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	#552	C₃×C₄	1	16	yes	complemented
391	C₂×#126	C₂²×C₃	1	1	yes	characteristic
392	C₂×#126	C₂²×C₃	1	1	yes	characteristic
393	C₂×#125	C₂²×C₃	1	1	yes	characteristic
394	C₂×#125	C₂²×C₃	1	1	yes	characteristic
395	C₂×#125	C₂²×C₃	1	1	yes	characteristic
396	C₂×#123	C₂²×C₃	1	1	yes	characteristic
397	C₂×#123	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×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
401	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
402	C₂×#117	C₂²×C₃	1	1	yes	characteristic
403	C₂×#117	C₂²×C₃	1	1	yes	characteristic
404	C₂×#117	C₂²×C₃	1	1	yes	characteristic
405	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
406	#391	C₂²×C₃	1	1	yes	characteristic
407	#391	C₂²×C₃	1	1	yes	characteristic
408	#391	C₂²×C₃	1	1	yes	characteristic
409	#391	C₂²×C₃	1	1	yes	characteristic
410	#390	C₂²×C₃	1	1	yes	characteristic
411	#390	C₂²×C₃	1	1	yes	characteristic
412	#389	C₂²×C₃	1	1	yes	characteristic
413	#389	C₂²×C₃	1	1	yes	characteristic
414	#389	C₂²×C₃	1	1	yes	characteristic
415	#389	C₂²×C₃	1	1	yes	characteristic
416	#389	C₂²×C₃	1	1	yes	characteristic
417	#389	C₂²×C₃	1	1	yes	characteristic
418	#389	C₂²×C₃	1	1	yes	characteristic
419	#389	C₂²×C₃	1	1	yes	characteristic
420	#389	C₂²×C₃	1	1	yes	characteristic
421	#389	C₂²×C₃	1	1	yes	characteristic
422	#389	C₂²×C₃	1	1	yes	characteristic
423	#389	C₂²×C₃	1	1	yes	characteristic
424	#388	C₂²×C₃	1	1	yes	characteristic
425	#388	C₂²×C₃	1	1	yes	characteristic
426	#388	C₂²×C₃	1	1	yes	characteristic
427	#388	C₂²×C₃	1	1	yes	characteristic
428	#388	C₂²×C₃	1	1	yes	characteristic
429	#388	C₂²×C₃	1	1	yes	characteristic
430	#388	C₂²×C₃	1	1	yes	characteristic
431	#388	C₂²×C₃	1	1	yes	characteristic
432	#388	C₂²×C₃	1	1	yes	characteristic
433	#388	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	#387	C₂²×C₃	1	1	yes	characteristic
447	#387	C₂²×C₃	1	1	yes	characteristic
448	#387	C₂²×C₃	1	1	yes	characteristic
449	#387	C₂²×C₃	1	1	yes	characteristic
450	#387	C₂²×C₃	1	1	yes	characteristic
451	#387	C₂²×C₃	1	1	yes	characteristic
452	#387	C₂²×C₃	1	1	yes	characteristic
453	#387	C₂²×C₃	1	1	yes	characteristic
454	#387	C₂²×C₃	1	1	yes	characteristic
455	#387	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	#387	C₂²×C₃	1	1	yes	characteristic
483	#387	C₂²×C₃	1	1	yes	characteristic
484	#386	C₂²×C₃	1	1	yes	characteristic
485	#386	C₂²×C₃	1	1	yes	characteristic
486	#385	C₂²×C₃	1	1	yes	characteristic
487	#385	C₂²×C₃	1	1	yes	characteristic
488	#385	C₂²×C₃	1	1	yes	characteristic
489	#385	C₂²×C₃	1	1	yes	characteristic
490	#385	C₂²×C₃	1	1	yes	characteristic
491	#385	C₂²×C₃	1	1	yes	characteristic
492	#384	C₂²×C₃	1	1	yes	characteristic
493	#383	C₂²×C₃	1	1	yes	characteristic
494	#383	C₂²×C₃	1	1	yes	characteristic
495	#383	C₂²×C₃	1	1	yes	characteristic
496	#382	C₂²×C₃	1	1	yes	characteristic
497	#382	C₂²×C₃	1	1	yes	characteristic
498	#382	C₂²×C₃	1	1	yes	characteristic
499	#382	C₂²×C₃	1	1	yes	characteristic
500	#382	C₂²×C₃	1	1	yes	characteristic
501	#381	C₂²×C₃	1	1	yes	characteristic
502	#381	C₂²×C₃	1	1	yes	characteristic
503	#381	C₂²×C₃	1	1	yes	characteristic
504	#380	C₂²×C₃	1	1	yes	characteristic
505	#380	C₂²×C₃	1	1	yes	characteristic
506	#380	C₂²×C₃	1	1	yes	characteristic
507	#380	C₂²×C₃	1	1	yes	characteristic
508	#380	C₂²×C₃	1	1	yes	characteristic
509	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
510	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
511	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
512	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
513	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
514	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
515	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
516	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
517	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
518	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
519	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
520	C₄×C₄⋊C₄	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×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
531	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
532	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
533	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
534	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
535	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
536	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	#376	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	C₄³	C₂²×C₃	1	1	yes	characteristic
546	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
547	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
548	C₂×C₃×Q₈	—	4	1	no	—
549	C₂×C₃×Q₈	—	4	1	no	—
550	C₂×C₃×Q₈	C₂²×C₄	1	4	yes	—
551	C₂×C₃×D₄	—	4	1	no	—
552	C₂×C₃×D₄	—	4	1	no	—
553	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
554	C₂²×C₃×C₄	—	4	1	no	—
555	C₂²×C₃×C₄	—	4	1	no	—
556	C₂²×C₃×C₄	—	4	1	no	—
557	C₂²×C₃×C₄	—	4	1	no	—
558	C₂²×C₃×C₄	—	4	1	no	—
559	C₂²×C₃×C₄	—	4	1	no	—
560	C₂²×C₃×C₄	—	4	1	no	—
561	C₂²×C₃×C₄	—	4	1	no	—
562	C₂²×C₃×C₄	—	4	1	no	—
563	C₂²×C₃×C₄	—	4	1	no	—
564	C₂²×C₃×C₄	—	4	1	no	—
565	C₂²×C₃×C₄	—	4	1	no	—
566	C₂²×C₃×C₄	—	4	1	no	—
567	C₂²×C₃×C₄	—	4	1	no	—
568	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
569	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
570	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
571	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
572	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
573	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
574	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
575	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
576	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
577	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
578	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
579	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
580	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
581	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
582	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
583	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
584	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
585	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
586	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
587	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
588	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
589	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
590	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
591	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
592	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
593	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
594	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
595	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
596	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
597	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
598	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
599	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
600	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
601	C₃×C₄⋊C₄	—	2	2	no	—
602	C₃×C₄⋊C₄	—	2	2	no	—
603	C₃×C₄⋊C₄	—	4	1	no	—
604	C₃×C₄⋊C₄	—	4	1	no	—
605	C₃×C₄⋊C₄	—	4	1	no	—
606	C₃×C₄⋊C₄	—	4	1	no	—
607	C₃×C₄⋊C₄	—	4	1	no	—
608	C₃×C₄⋊C₄	—	4	1	no	—
609	C₃×C₄⋊C₄	—	4	1	no	—
610	C₃×C₄⋊C₄	—	4	1	no	—
611	C₃×C₄⋊C₄	—	4	1	no	—
612	C₃×C₄⋊C₄	—	4	1	no	—
613	C₃×C₄⋊C₄	—	4	1	no	—
614	C₃×C₄⋊C₄	—	4	1	no	—
615	C₃×C₄⋊C₄	—	4	1	no	—
616	C₃×C₄⋊C₄	—	4	1	no	—
617	C₃×C₄⋊C₄	—	4	1	no	—
618	C₃×C₄⋊C₄	—	4	1	no	—
619	C₃×C₄⋊C₄	—	4	1	no	—
620	C₃×C₄⋊C₄	—	4	1	no	—
621	C₃×C₄⋊C₄	—	4	1	no	—
622	C₃×C₄⋊C₄	—	4	1	no	—
623	C₃×C₄⋊C₄	—	4	1	no	—
624	C₃×C₄⋊C₄	—	4	1	no	—
625	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
626	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
627	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
628	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
629	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
630	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
631	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
632	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
633	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
634	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
635	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
636	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
637	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
638	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
639	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
640	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
641	C₃×C₂²⋊C₄	—	2	2	no	—
642	C₃×C₂²⋊C₄	—	2	2	no	—
643	C₃×C₂²⋊C₄	—	4	1	no	—
644	C₃×C₂²⋊C₄	—	4	1	no	—
645	C₃×C₂²⋊C₄	—	4	1	no	—
646	C₃×C₂²⋊C₄	—	4	1	no	—
647	C₃×C₂²⋊C₄	—	4	1	no	—
648	C₃×C₂²⋊C₄	—	4	1	no	—
649	C₃×C₂²⋊C₄	—	4	1	no	—
650	C₃×C₂²⋊C₄	—	4	1	no	—
651	C₃×C₂²⋊C₄	—	4	1	no	—
652	C₃×C₂²⋊C₄	—	4	1	no	—
653	C₃×C₂²⋊C₄	—	4	1	no	—
654	C₃×C₂²⋊C₄	—	4	1	no	—
655	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
656	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
657	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
658	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
659	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
660	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
661	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
662	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
663	C₃×C₄²	—	2	2	no	—
664	C₃×C₄²	—	4	1	no	—
665	C₃×C₄²	—	4	1	no	—
666	C₃×C₄²	—	4	1	no	—
667	C₃×C₄²	—	4	1	no	—
668	C₃×C₄²	—	4	1	no	—
669	C₃×C₄²	—	4	1	no	—
670	C₃×C₄²	—	4	1	no	—
671	C₃×C₄²	—	4	1	no	—
672	C₃×C₄²	—	4	1	no	—
673	C₃×C₄²	—	4	1	no	—
674	C₃×C₄²	—	4	1	no	—
675	C₃×C₄²	—	4	1	no	—
676	C₃×C₄²	—	4	1	no	—
677	C₃×C₄²	—	4	1	no	—
678	C₃×C₄²	—	4	1	no	—
679	C₃×C₄²	—	4	1	no	—
680	C₃×C₄²	—	4	1	no	—
681	C₃×C₄²	—	4	1	no	—
682	C₃×C₄²	—	4	1	no	—
683	C₃×C₄²	—	4	1	no	—
684	C₃×C₄²	—	4	1	no	—
685	C₃×C₄²	—	4	1	no	—
686	C₃×C₄²	—	4	1	no	—
687	C₃×C₄²	C₂²×C₄	1	4	yes	—
688	C₃×C₄²	C₂²×C₄	1	4	yes	—
689	C₃×C₄²	C₂²×C₄	1	4	yes	—
690	C₃×C₄²	C₂²×C₄	1	4	yes	—
691	C₃×C₄²	C₂²×C₄	1	4	yes	—
692	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
693	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
694	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
695	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
696	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
697	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
698	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
699	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
700	#126	C₂×C₃×C₄	1	8	yes	—
701	#126	C₂×C₃×C₄	1	8	yes	—
702	#125	C₂×C₃×C₄	1	8	yes	complemented
703	#125	C₂×C₃×C₄	1	8	yes	complemented
704	#125	C₂×C₃×C₄	1	8	yes	complemented
705	#123	C₂×C₃×C₄	1	8	yes	—
706	#123	C₂×C₃×C₄	1	8	yes	—
707	C₂²⋊Q₈	C₂×C₃×C₄	1	8	yes	—
708	C₂²⋊Q₈	C₂×C₃×C₄	1	8	yes	complemented
709	C₄×Q₈	C₂×C₃×C₄	1	8	yes	complemented
710	C₄×D₄	C₂×C₃×C₄	1	8	yes	—
711	#117	C₂×C₃×C₄	1	8	yes	—
712	#117	C₂×C₃×C₄	1	8	yes	complemented
713	#117	C₂×C₃×C₄	1	8	yes	complemented
714	C₂×C₄⋊C₄	C₂×C₃×C₄	1	8	yes	complemented
715	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
716	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
717	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
718	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
719	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
720	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
721	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
722	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
723	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
724	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
725	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
726	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
727	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
728	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
729	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
730	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
731	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
732	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
733	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
734	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
735	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
736	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
737	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
738	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
739	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
740	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
741	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
742	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
743	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
744	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
745	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
746	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
747	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
748	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
749	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
750	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
751	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
752	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
753	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
754	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
755	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
756	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
757	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
758	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
759	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
760	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
761	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
762	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
763	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
764	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
765	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
766	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
767	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
768	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
769	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
770	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
771	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
772	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
773	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
774	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
775	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
776	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
777	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
778	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
779	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
780	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
781	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
782	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
783	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
784	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
785	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
786	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
787	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
788	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
789	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
790	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
791	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
792	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
793	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
794	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
795	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
796	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
797	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
798	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
799	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
800	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
801	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
802	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
803	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
804	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
805	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
806	#95	C₂³×C₃	1	1	yes	characteristic
807	#95	C₂³×C₃	1	1	yes	characteristic
808	#95	C₂³×C₃	1	1	yes	characteristic
809	#95	C₂³×C₃	1	1	yes	characteristic
810	#95	C₂³×C₃	1	1	yes	characteristic
811	#95	C₂³×C₃	1	1	yes	characteristic
812	#95	C₂³×C₃	1	1	yes	characteristic
813	#95	C₂³×C₃	1	1	yes	characteristic
814	#95	C₂³×C₃	1	1	yes	characteristic
815	#95	C₂³×C₃	1	1	yes	characteristic
816	#95	C₂³×C₃	1	1	yes	characteristic
817	#95	C₂³×C₃	1	1	yes	characteristic
818	#95	C₂³×C₃	1	1	yes	characteristic
819	#95	C₂³×C₃	1	1	yes	characteristic
820	#95	C₂³×C₃	1	1	yes	characteristic
821	#95	C₂³×C₃	1	1	yes	characteristic
822	#95	C₂³×C₃	1	1	yes	characteristic
823	#95	C₂³×C₃	1	1	yes	characteristic
824	#95	C₂³×C₃	1	1	yes	characteristic
825	#95	C₂³×C₃	1	1	yes	characteristic
826	#95	C₂³×C₃	1	1	yes	characteristic
827	#95	C₂³×C₃	1	1	yes	characteristic
828	#95	C₂³×C₃	1	1	yes	characteristic
829	#95	C₂³×C₃	1	1	yes	characteristic
830	#95	C₂³×C₃	1	1	yes	characteristic
831	#95	C₂³×C₃	1	1	yes	characteristic
832	#95	C₂³×C₃	1	1	yes	characteristic
833	#95	C₂³×C₃	1	1	yes	characteristic
834	#95	C₂³×C₃	1	1	yes	characteristic
835	#95	C₂³×C₃	1	1	yes	characteristic
836	#95	C₂³×C₃	1	1	yes	characteristic
837	#95	C₂³×C₃	1	1	yes	characteristic
838	#95	C₂³×C₃	1	1	yes	characteristic
839	#95	C₂³×C₃	1	1	yes	characteristic
840	#95	C₂³×C₃	1	1	yes	characteristic
841	#95	C₂³×C₃	1	1	yes	characteristic
842	#95	C₂³×C₃	1	1	yes	characteristic
843	#95	C₂³×C₃	1	1	yes	characteristic
844	#95	C₂³×C₃	1	1	yes	characteristic
845	#95	C₂³×C₃	1	1	yes	characteristic
846	#95	C₂³×C₃	1	1	yes	characteristic
847	#95	C₂³×C₃	1	1	yes	characteristic
848	#95	C₂³×C₃	1	1	yes	characteristic
849	#95	C₂³×C₃	1	1	yes	characteristic
850	#95	C₂³×C₃	1	1	yes	characteristic
851	#95	C₂³×C₃	1	1	yes	characteristic
852	#95	C₂³×C₃	1	1	yes	characteristic
853	#95	C₂³×C₃	1	1	yes	characteristic
854	#95	C₂³×C₃	1	1	yes	characteristic
855	#95	C₂³×C₃	1	1	yes	characteristic
856	#95	C₂³×C₃	1	1	yes	characteristic
857	#95	C₂³×C₃	1	1	yes	characteristic
858	#95	C₂³×C₃	1	1	yes	characteristic
859	#95	C₂³×C₃	1	1	yes	characteristic
860	#95	C₂³×C₃	1	1	yes	characteristic
861	#95	C₂³×C₃	1	1	yes	characteristic
862	C₂³×C₃	—	2	1	no	—
863	C₂³×C₃	—	2	1	no	—
864	C₂³×C₃	—	2	1	no	—
865	C₂³×C₃	—	2	1	no	—
866	C₂³×C₃	—	2	1	no	—
867	C₂³×C₃	—	2	1	no	—
868	C₂³×C₃	—	2	1	no	—
869	C₂³×C₃	—	2	1	no	—
870	C₂³×C₃	—	2	1	no	—
871	C₂³×C₃	—	2	1	no	—
872	C₂³×C₃	—	2	1	no	—
873	C₂³×C₃	—	2	1	no	—
874	C₂³×C₃	C₂³×C₄	1	2	yes	—
875	C₂³×C₃	C₂³×C₄	1	2	yes	—
876	C₂³×C₃	C₂⁵	1	1	yes	characteristic
877	C₃×Q₈	—	4	4	no	—
878	C₃×D₄	—	4	4	no	—
879	C₂×C₃×C₄	—	2	1	no	—
880	C₂×C₃×C₄	—	2	1	no	—
881	C₂×C₃×C₄	—	2	1	no	—
882	C₂×C₃×C₄	—	2	1	no	—
883	C₂×C₃×C₄	—	2	1	no	—
884	C₂×C₃×C₄	—	2	1	no	—
885	C₂×C₃×C₄	—	2	1	no	—
886	C₂×C₃×C₄	—	2	1	no	—
887	C₂×C₃×C₄	—	2	1	no	—
888	C₂×C₃×C₄	—	2	1	no	—
889	C₂×C₃×C₄	—	2	1	no	—
890	C₂×C₃×C₄	—	2	1	no	—
891	C₂×C₃×C₄	—	2	1	no	—
892	C₂×C₃×C₄	—	2	1	no	—
893	C₂×C₃×C₄	—	2	1	no	—
894	C₂×C₃×C₄	—	2	1	no	—
895	C₂×C₃×C₄	—	2	1	no	—
896	C₂×C₃×C₄	—	2	1	no	—
897	C₂×C₃×C₄	—	2	1	no	—
898	C₂×C₃×C₄	—	2	1	no	—
899	C₂×C₃×C₄	—	2	1	no	—
900	C₂×C₃×C₄	—	2	1	no	—
901	C₂×C₃×C₄	—	2	1	no	—
902	C₂×C₃×C₄	—	2	1	no	—
903	C₂×C₃×C₄	—	2	1	no	—
904	C₂×C₃×C₄	—	2	1	no	—
905	C₂×C₃×C₄	—	2	1	no	—
906	C₂×C₃×C₄	—	2	1	no	—
907	C₂×C₃×C₄	—	2	1	no	—
908	C₂×C₃×C₄	—	2	1	no	—
909	C₂×C₃×C₄	—	2	1	no	—
910	C₂×C₃×C₄	—	2	1	no	—
911	C₂×C₃×C₄	—	2	1	no	—
912	C₂×C₃×C₄	—	2	1	no	—
913	C₂×C₃×C₄	—	2	1	no	—
914	C₂×C₃×C₄	—	2	1	no	—
915	C₂×C₃×C₄	—	2	1	no	—
916	C₂×C₃×C₄	—	2	1	no	—
917	C₂×C₃×C₄	—	2	1	no	—
918	C₂×C₃×C₄	—	2	1	no	—
919	C₂×C₃×C₄	—	2	1	no	—
920	C₂×C₃×C₄	—	2	1	no	—
921	C₂×C₃×C₄	—	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	—	4	4	no	—
953	C₂×C₃×C₄	—	4	4	no	—
954	C₂×C₃×C₄	—	4	4	no	—
955	C₂×C₃×C₄	—	4	4	no	—
956	C₂×C₃×C₄	—	8	2	no	—
957	C₂×C₃×C₄	—	8	2	no	—
958	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
959	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
960	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
961	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
962	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
963	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
964	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
965	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
966	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
967	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
968	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
969	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
970	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
971	C₂×C₃×C₄	2₋¹⁺⁴	1	2	yes	—
972	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
973	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
974	C₂×Q₈	—	4	1	no	—
975	C₂×Q₈	—	4	1	no	—
976	C₂×Q₈	C₂²×C₃×C₄	1	4	yes	—
977	C₂×D₄	—	4	1	no	—
978	C₂×D₄	—	4	1	no	—
979	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
980	C₂²×C₄	—	4	1	no	—
981	C₂²×C₄	—	4	1	no	—
982	C₂²×C₄	—	4	1	no	—
983	C₂²×C₄	—	4	1	no	—
984	C₂²×C₄	—	4	1	no	—
985	C₂²×C₄	—	4	1	no	—
986	C₂²×C₄	—	4	1	no	—
987	C₂²×C₄	—	4	1	no	—
988	C₂²×C₄	—	4	1	no	—
989	C₂²×C₄	—	4	1	no	—
990	C₂²×C₄	—	4	1	no	—
991	C₂²×C₄	—	4	1	no	—
992	C₂²×C₄	—	4	1	no	—
993	C₂²×C₄	—	4	1	no	—
994	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
995	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
996	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
997	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
998	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
999	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1000	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1001	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1002	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1003	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1004	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1005	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1006	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1007	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1008	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1009	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1010	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1011	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1012	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1013	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1014	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1015	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1016	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1017	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1018	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1019	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1020	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1021	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1022	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1023	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1024	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1025	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1026	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1027	C₄⋊C₄	—	2	2	no	—
1028	C₄⋊C₄	—	2	2	no	—
1029	C₄⋊C₄	—	4	1	no	—
1030	C₄⋊C₄	—	4	1	no	—
1031	C₄⋊C₄	—	4	1	no	—
1032	C₄⋊C₄	—	4	1	no	—
1033	C₄⋊C₄	—	4	1	no	—
1034	C₄⋊C₄	—	4	1	no	—
1035	C₄⋊C₄	—	4	1	no	—
1036	C₄⋊C₄	—	4	1	no	—
1037	C₄⋊C₄	—	4	1	no	—
1038	C₄⋊C₄	—	4	1	no	—
1039	C₄⋊C₄	—	4	1	no	—
1040	C₄⋊C₄	—	4	1	no	—
1041	C₄⋊C₄	—	4	1	no	—
1042	C₄⋊C₄	—	4	1	no	—
1043	C₄⋊C₄	—	4	1	no	—
1044	C₄⋊C₄	—	4	1	no	—
1045	C₄⋊C₄	—	4	1	no	—
1046	C₄⋊C₄	—	4	1	no	—
1047	C₄⋊C₄	—	4	1	no	—
1048	C₄⋊C₄	—	4	1	no	—
1049	C₄⋊C₄	—	4	1	no	—
1050	C₄⋊C₄	—	4	1	no	—
1051	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1052	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1053	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1054	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1055	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1056	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1057	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1058	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1059	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1060	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1061	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1062	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1063	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1064	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1065	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1066	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1067	C₂²⋊C₄	—	2	2	no	—
1068	C₂²⋊C₄	—	2	2	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	C₂²×C₃×C₄	1	4	yes	—
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	C₂²×C₃×C₄	1	4	yes	—
1089	C₄²	—	2	2	no	—
1090	C₄²	—	4	1	no	—
1091	C₄²	—	4	1	no	—
1092	C₄²	—	4	1	no	—
1093	C₄²	—	4	1	no	—
1094	C₄²	—	4	1	no	—
1095	C₄²	—	4	1	no	—
1096	C₄²	—	4	1	no	—
1097	C₄²	—	4	1	no	—
1098	C₄²	—	4	1	no	—
1099	C₄²	—	4	1	no	—
1100	C₄²	—	4	1	no	—
1101	C₄²	—	4	1	no	—
1102	C₄²	—	4	1	no	—
1103	C₄²	—	4	1	no	—
1104	C₄²	—	4	1	no	—
1105	C₄²	—	4	1	no	—
1106	C₄²	—	4	1	no	—
1107	C₄²	—	4	1	no	—
1108	C₄²	—	4	1	no	—
1109	C₄²	—	4	1	no	—
1110	C₄²	—	4	1	no	—
1111	C₄²	—	4	1	no	—
1112	C₄²	—	4	1	no	—
1113	C₄²	C₂²×C₃×C₄	1	4	yes	—
1114	C₄²	C₂²×C₃×C₄	1	4	yes	—
1115	C₄²	C₂²×C₃×C₄	1	4	yes	—
1116	C₄²	C₂²×C₃×C₄	1	4	yes	—
1117	C₄²	C₂²×C₃×C₄	1	4	yes	—
1118	C₂²×C₃	—	2	2	no	—
1119	C₂²×C₃	—	2	2	no	—
1120	C₂²×C₃	—	2	2	no	—
1121	C₂²×C₃	—	2	2	no	—
1122	C₂²×C₃	—	2	2	no	—
1123	C₂²×C₃	—	2	2	no	—
1124	C₂²×C₃	—	4	1	no	—
1125	C₂²×C₃	—	4	1	no	—
1126	C₂²×C₃	—	4	1	no	—
1127	C₂²×C₃	—	4	1	no	—
1128	C₂²×C₃	—	4	1	no	—
1129	C₂²×C₃	—	4	1	no	—
1130	C₂²×C₃	—	4	1	no	—
1131	C₂²×C₃	—	4	1	no	—
1132	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1133	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1134	C₂²×C₃	#585	1	1	yes	characteristic
1135	C₂²×C₃	#585	1	1	yes	characteristic
1136	C₂²×C₃	#585	1	1	yes	characteristic
1137	C₂²×C₃	#585	1	1	yes	characteristic
1138	C₂²×C₃	#585	1	1	yes	characteristic
1139	C₃×C₄	—	2	2	no	—
1140	C₃×C₄	—	2	2	no	—
1141	C₃×C₄	—	2	2	no	—
1142	C₃×C₄	—	2	2	no	—
1143	C₃×C₄	—	2	2	no	—
1144	C₃×C₄	—	2	2	no	—
1145	C₃×C₄	—	2	2	no	—
1146	C₃×C₄	—	2	2	no	—
1147	C₃×C₄	—	2	2	no	—
1148	C₃×C₄	—	2	2	no	—
1149	C₃×C₄	—	2	2	no	—
1150	C₃×C₄	—	2	2	no	—
1151	C₃×C₄	—	2	2	no	—
1152	C₃×C₄	—	2	2	no	—
1153	C₃×C₄	—	4	1	no	—
1154	C₃×C₄	—	4	1	no	—
1155	C₃×C₄	—	4	1	no	—
1156	C₃×C₄	—	4	1	no	—
1157	C₃×C₄	—	4	1	no	—
1158	C₃×C₄	—	4	1	no	—
1159	C₃×C₄	—	4	1	no	—
1160	C₃×C₄	—	4	1	no	—
1161	C₃×C₄	—	4	1	no	—
1162	C₃×C₄	—	4	1	no	—
1163	C₃×C₄	—	4	1	no	—
1164	C₃×C₄	—	4	1	no	—
1165	C₃×C₄	—	4	1	no	—
1166	C₃×C₄	—	4	1	no	—
1167	C₃×C₄	—	4	1	no	—
1168	C₂³	—	2	1	no	—
1169	C₂³	—	2	1	no	—
1170	C₂³	—	2	1	no	—
1171	C₂³	—	2	1	no	—
1172	C₂³	—	2	1	no	—
1173	C₂³	—	2	1	no	—
1174	C₂³	—	2	1	no	—
1175	C₂³	—	2	1	no	—
1176	C₂³	—	2	1	no	—
1177	C₂³	—	2	1	no	—
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	C₂³×C₃×C₄	1	2	yes	—
1181	C₂³	C₂³×C₃×C₄	1	2	yes	—
1182	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1183	Q₈	—	4	4	no	—
1184	D₄	—	4	4	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	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	—	4	4	no	—
1259	C₂×C₄	—	4	4	no	—
1260	C₂×C₄	—	4	4	no	—
1261	C₂×C₄	—	4	4	no	—
1262	C₂×C₄	—	8	2	no	—
1263	C₂×C₄	—	8	2	no	—
1264	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1265	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1266	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1267	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1268	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1269	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1270	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1271	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1272	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1273	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1274	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1275	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1276	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1277	C₂×C₄	C₃×2₋¹⁺⁴	1	2	yes	—
1278	C₂×C₃	—	4	2	no	—
1279	C₂×C₃	—	4	2	no	—
1280	C₂×C₃	#3428	1	1	yes	characteristic
1281	C₂×C₃	#3428	1	1	yes	characteristic
1282	C₂×C₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1283	C₂×C₃	#3553	1	1	yes	characteristic
1284	C₂×C₃	#3557	1	1	yes	characteristic
1285	C₂×C₃	#3566	1	1	yes	characteristic
1286	C₂×C₃	#3566	1	1	yes	characteristic
1287	C₂²	—	2	2	no	—
1288	C₂²	—	2	2	no	—
1289	C₂²	—	2	2	no	—
1290	C₂²	—	2	2	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	4	1	no	—
1294	C₂²	—	4	1	no	—
1295	C₂²	—	4	1	no	—
1296	C₂²	—	4	1	no	—
1297	C₂²	—	4	1	no	—
1298	C₂²	—	4	1	no	—
1299	C₂²	—	4	1	no	—
1300	C₂²	—	4	1	no	—
1301	C₂²	C₂⁴×C₃×C₄	1	1	yes	characteristic
1302	C₂²	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1303	C₂²	C₃×#585	1	1	yes	characteristic
1304	C₂²	C₃×#585	1	1	yes	characteristic
1305	C₂²	C₃×#585	1	1	yes	characteristic
1306	C₂²	C₃×#585	1	1	yes	characteristic
1307	C₂²	C₃×#585	1	1	yes	characteristic
1308	C₄	—	2	2	no	—
1309	C₄	—	2	2	no	—
1310	C₄	—	2	2	no	—
1311	C₄	—	2	2	no	—
1312	C₄	—	2	2	no	—
1313	C₄	—	2	2	no	—
1314	C₄	—	2	2	no	—
1315	C₄	—	2	2	no	—
1316	C₄	—	2	2	no	—
1317	C₄	—	2	2	no	—
1318	C₄	—	2	2	no	—
1319	C₄	—	2	2	no	—
1320	C₄	—	2	2	no	—
1321	C₄	—	2	2	no	—
1322	C₄	—	4	1	no	—
1323	C₄	—	4	1	no	—
1324	C₄	—	4	1	no	—
1325	C₄	—	4	1	no	—
1326	C₄	—	4	1	no	—
1327	C₄	—	4	1	no	—
1328	C₄	—	4	1	no	—
1329	C₄	—	4	1	no	—
1330	C₄	—	4	1	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	4	1	no	—
1334	C₄	—	4	1	no	—
1335	C₄	—	4	1	no	—
1336	C₄	—	4	1	no	—
1337	C₃	#34501	1	1	yes	characteristic, direct product factor, Sylow
1338	C₂	—	4	2	no	—
1339	C₂	—	4	2	no	—
1340	C₂	C₃×#3428	1	1	yes	characteristic
1341	C₂	C₃×#3428	1	1	yes	characteristic
1342	C₂	C₃×C₄×2₋¹⁺⁴	1	1	yes	characteristic
1343	C₂	C₃×#3553	1	1	yes	characteristic
1344	C₂	C₃×#3557	1	1	yes	characteristic
1345	C₂	C₃×#3566	1	1	yes	characteristic
1346	C₂	C₃×#3566	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator	C₂²	C₂⁴×C₃×C₄
Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₂²×C₃×D₄	C₂³
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×#2383	C₂	semidirect
3. C₃×#2382	C₂	semidirect
4. C₃×#2378	C₂	semidirect
7. C₃×#2373	C₂	semidirect
8. C₃×#2371	C₂	semidirect
9. C₃×#2370	C₂	semidirect
10. C₃×#2368	C₂	semidirect
12. C₃×#2355	C₂	semidirect
13. C₃×#2347	C₂	semidirect
14. C₃×#2346	C₂	semidirect
15. C₃×#2345	C₂	semidirect
16. C₃×#2343	C₂	semidirect
17. C₃×#2336	C₂	semidirect
18. C₃×#2336	C₂	semidirect
21. C₃×#2334	C₂	semidirect
22. C₃×#2334	C₂	semidirect
23. C₃×#2332	C₂	semidirect
24. C₃×#2332	C₂	semidirect
25. C₃×#2320	C₂	semidirect
27. C₃×#2314	C₂	semidirect
28. C₃×#2313	C₂	semidirect
29. C₃×C₄×#125	C₂	semidirect
30. C₃×#2298	C₂	semidirect
31. C₃×#2298	C₂	semidirect
32. #34501	C₃	direct (N × H)
33. C₃×#552	C₄	semidirect
190. #2383	C₂×C₃	semidirect
191. #2382	C₂×C₃	semidirect
192. #2378	C₂×C₃	semidirect
195. #2373	C₂×C₃	semidirect
196. #2371	C₂×C₃	semidirect
197. #2370	C₂×C₃	semidirect
198. #2368	C₂×C₃	semidirect
200. #2355	C₂×C₃	semidirect
201. #2347	C₂×C₃	semidirect
202. #2346	C₂×C₃	semidirect
203. #2345	C₂×C₃	semidirect
204. #2343	C₂×C₃	semidirect
205. #2336	C₂×C₃	semidirect
206. #2336	C₂×C₃	semidirect
209. #2334	C₂×C₃	semidirect
210. #2334	C₂×C₃	semidirect
211. #2332	C₂×C₃	semidirect
212. #2332	C₂×C₃	semidirect
213. #2320	C₂×C₃	semidirect
215. #2314	C₂×C₃	semidirect
216. #2313	C₂×C₃	semidirect
217. C₄×#125	C₂×C₃	semidirect
218. #2298	C₂×C₃	semidirect
219. #2298	C₂×C₃	semidirect
230. C₃×#125	C₂×C₄	semidirect
231. C₃×#125	C₂×C₄	semidirect
232. C₃×#125	C₂×C₄	semidirect
236. C₃×C₂²⋊Q₈	C₂×C₄	semidirect
237. C₃×C₄×Q₈	C₂×C₄	semidirect
240. C₃×#117	C₂×C₄	semidirect
241. C₃×#117	C₂×C₄	semidirect
242. C₂×C₃×C₄⋊C₄	C₂×C₄	semidirect
390. #552	C₃×C₄	semidirect
702. #125	C₂×C₃×C₄	semidirect
703. #125	C₂×C₃×C₄	semidirect
704. #125	C₂×C₃×C₄	semidirect
708. C₂²⋊Q₈	C₂×C₃×C₄	semidirect
709. C₄×Q₈	C₂×C₃×C₄	semidirect
712. #117	C₂×C₃×C₄	semidirect
713. #117	C₂×C₃×C₄	semidirect
714. C₂×C₄⋊C₄	C₂×C₃×C₄	semidirect
1337. C₃	#34501	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×#552	2
C₃×#2383	2
C₃×#2382	2
C₃×#2378	2
C₃×#2376	2
C₃×#2374	2
C₃×#2373	2
C₃×#2371	2
C₃×#2370	2
C₃×#2368	2
C₃×#2357	2
C₃×#2355	2
C₃×#2347	2
C₃×#2346	2
C₃×#2345	2
C₃×#2343	2
C₃×#2336	2
C₃×#2335	2
C₃×#2334	2
C₃×#2332	2
C₃×#2320	2
C₃×#2318	2
C₃×#2314	2
C₃×#2313	2
C₃×C₄×#125	2
C₃×#2298	2
#34501	3

Subgroups — C3×#34501 #10653108

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#34501 #10653108