Subgroups — C₃×#34479 #10653086

Order 768.

2292 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#551	C₂	1	1	yes	maximal, characteristic
2	C₃×#2383	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2379	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, complemented
6	C₃×#2373	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2368	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2359	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2359	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2358	C₂	1	1	yes	maximal, characteristic
11	C₃×#2354	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2349	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2346	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2343	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2342	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2342	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2335	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×#2334	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2326	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2323	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2322	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#2321	C₂	1	1	yes	maximal, characteristic
25	C₃×#2318	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2317	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#2315	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2314	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×C₄×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₃×#388	C₂	1	1	yes	maximal, characteristic, complemented
32	#34479	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₃×#551	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×#124	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×#123	C₂²	1	1	yes	characteristic
40	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
41	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₂×C₃×#120	C₂²	1	1	yes	characteristic
43	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
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	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
54	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
55	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
56	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
57	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
58	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
59	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
60	C₂²×C₃×C₄²	C₂²	1	1	yes	characteristic
61	C₃×#391	C₂²	1	1	yes	characteristic, complemented
62	C₃×#391	C₂²	1	1	yes	characteristic, complemented
63	C₃×#391	C₂²	1	1	yes	characteristic, complemented
64	C₃×#390	C₂²	1	1	yes	characteristic
65	C₃×#390	C₂²	1	1	yes	characteristic
66	C₃×#390	C₂²	1	1	yes	characteristic
67	C₃×#389	C₂²	1	1	yes	characteristic, complemented
68	C₃×#389	C₂²	1	1	yes	characteristic, complemented
69	C₃×#389	C₂²	1	1	yes	characteristic, complemented
70	C₃×#389	C₂²	1	1	yes	characteristic, complemented
71	C₃×#389	C₂²	1	1	yes	characteristic, complemented
72	C₃×#389	C₂²	1	1	yes	characteristic, complemented
73	C₃×#389	C₂²	1	1	yes	characteristic, complemented
74	C₃×#389	C₂²	1	1	yes	characteristic, complemented
75	C₃×#389	C₂²	1	1	yes	characteristic, complemented
76	C₃×#389	C₂²	1	1	yes	characteristic, complemented
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×#388	C₂²	1	1	yes	characteristic
94	C₃×#388	C₂²	1	1	yes	characteristic
95	C₃×#388	C₂²	1	1	yes	characteristic
96	C₃×#388	C₂²	1	1	yes	characteristic
97	C₃×#388	C₂²	1	1	yes	characteristic
98	C₃×#388	C₂²	1	1	yes	characteristic
99	C₃×#388	C₂²	1	1	yes	characteristic, complemented
100	C₃×#388	C₂²	1	1	yes	characteristic, complemented
101	C₃×#388	C₂²	1	1	yes	characteristic, complemented
102	C₃×#388	C₂²	1	1	yes	characteristic, complemented
103	C₃×#388	C₂²	1	1	yes	characteristic, complemented
104	C₃×#388	C₂²	1	1	yes	characteristic, complemented
105	C₃×#387	C₂²	1	1	yes	characteristic, complemented
106	C₃×#387	C₂²	1	1	yes	characteristic, complemented
107	C₃×#387	C₂²	1	1	yes	characteristic, complemented
108	C₃×#387	C₂²	1	1	yes	characteristic, complemented
109	C₃×#387	C₂²	1	1	yes	characteristic, complemented
110	C₃×#387	C₂²	1	1	yes	characteristic, complemented
111	C₃×#387	C₂²	1	1	yes	characteristic, complemented
112	C₃×#387	C₂²	1	1	yes	characteristic, complemented
113	C₃×#387	C₂²	1	1	yes	characteristic, complemented
114	C₃×#387	C₂²	1	1	yes	characteristic, complemented
115	C₃×#387	C₂²	1	1	yes	characteristic, complemented
116	C₃×#387	C₂²	1	1	yes	characteristic, complemented
117	C₃×#387	C₂²	1	1	yes	characteristic, complemented
118	C₃×#387	C₂²	1	1	yes	characteristic, complemented
119	C₃×#387	C₂²	1	1	yes	characteristic, complemented
120	C₃×#387	C₂²	1	1	yes	characteristic, complemented
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×#385	C₂²	1	1	yes	characteristic
128	C₃×#385	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×#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×#385	C₂²	1	1	yes	characteristic
142	C₃×#385	C₂²	1	1	yes	characteristic, complemented
143	C₃×#385	C₂²	1	1	yes	characteristic, complemented
144	C₃×#385	C₂²	1	1	yes	characteristic, complemented
145	C₃×#385	C₂²	1	1	yes	characteristic, complemented
146	C₃×#385	C₂²	1	1	yes	characteristic, complemented
147	C₃×#384	C₂²	1	1	yes	characteristic, complemented
148	C₃×#384	C₂²	1	1	yes	characteristic, complemented
149	C₃×#383	C₂²	1	1	yes	characteristic, complemented
150	C₃×#382	C₂²	1	1	yes	characteristic, complemented
151	C₃×#382	C₂²	1	1	yes	characteristic, complemented
152	C₃×#382	C₂²	1	1	yes	characteristic, complemented
153	C₃×#382	C₂²	1	1	yes	characteristic, complemented
154	C₃×#381	C₂²	1	1	yes	characteristic
155	C₃×#381	C₂²	1	1	yes	characteristic
156	C₃×#380	C₂²	1	1	yes	characteristic
157	C₃×#380	C₂²	1	1	yes	characteristic
158	C₃×#380	C₂²	1	1	yes	characteristic
159	C₃×#380	C₂²	1	1	yes	characteristic
160	C₃×#380	C₂²	1	1	yes	characteristic
161	C₃×#380	C₂²	1	1	yes	characteristic
162	C₃×#380	C₂²	1	1	yes	characteristic, complemented
163	C₃×#379	C₂²	1	1	yes	characteristic
164	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
165	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
166	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
167	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
169	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
170	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
171	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
172	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
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, complemented
183	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
184	C₃×#376	C₂²	1	1	yes	characteristic, complemented
185	C₃×#376	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₃×#95	C₂²	1	1	yes	characteristic
187	C₂×C₃×#95	C₂²	1	1	yes	characteristic
188	C₂×C₃×#95	C₂²	1	1	yes	characteristic, complemented
189	C₂×#551	C₂×C₃	1	1	yes	characteristic
190	#2383	C₂×C₃	1	1	yes	characteristic, complemented
191	#2379	C₂×C₃	1	1	yes	characteristic, complemented
192	#2378	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	#2368	C₂×C₃	1	1	yes	characteristic, complemented
196	#2359	C₂×C₃	1	1	yes	characteristic, complemented
197	#2359	C₂×C₃	1	1	yes	characteristic, complemented
198	#2358	C₂×C₃	1	1	yes	characteristic
199	#2354	C₂×C₃	1	1	yes	characteristic, complemented
200	#2349	C₂×C₃	1	1	yes	characteristic, complemented
201	#2346	C₂×C₃	1	1	yes	characteristic, complemented
202	#2343	C₂×C₃	1	1	yes	characteristic, complemented
203	#2342	C₂×C₃	1	1	yes	characteristic, complemented
204	#2342	C₂×C₃	1	1	yes	characteristic, complemented
205	#2335	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	#2334	C₂×C₃	1	1	yes	characteristic, complemented
209	#2326	C₂×C₃	1	1	yes	characteristic, complemented
210	#2323	C₂×C₃	1	1	yes	characteristic, complemented
211	#2322	C₂×C₃	1	1	yes	characteristic, complemented
212	#2321	C₂×C₃	1	1	yes	characteristic
213	#2318	C₂×C₃	1	1	yes	characteristic, complemented
214	#2317	C₂×C₃	1	1	yes	characteristic, complemented
215	#2315	C₂×C₃	1	1	yes	characteristic, complemented
216	#2314	C₂×C₃	1	1	yes	characteristic, complemented
217	C₄×C₂²⋊Q₈	C₂×C₃	1	1	yes	characteristic, complemented
218	#2290	C₂×C₃	1	1	yes	characteristic, complemented
219	C₂×#388	C₂×C₃	1	1	yes	characteristic, complemented
220	C₂⁵×C₃	C₂³	1	1	yes	characteristic
221	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
222	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
223	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
224	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
225	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
226	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
227	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
228	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
229	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
230	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
231	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×#124	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×#123	C₂×C₄	1	8	yes	complemented
244	C₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
245	C₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
246	C₃×#120	C₂×C₄	1	8	yes	—
247	C₃×C₄×Q₈	—	4	2	no	—
248	C₃×C₄×D₄	—	4	2	no	—
249	C₃×C₄×D₄	—	4	2	no	—
250	C₃×C₄×D₄	—	4	2	no	—
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	C₃×#117	C₂×C₄	1	8	yes	complemented
258	C₂×C₃×C₄⋊C₄	—	4	2	no	—
259	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₃×C₂²⋊C₄	—	4	2	no	—
294	C₂×C₃×C₂²⋊C₄	—	4	2	no	—
295	C₂×C₃×C₂²⋊C₄	—	4	2	no	—
296	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
297	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
336	C₂×C₃×C₄²	—	4	2	no	—
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	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
349	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
350	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
351	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
352	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
353	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
354	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
355	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
356	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
357	C₂×C₃×C₄²	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	C₃×#95	C₂³	1	1	yes	characteristic
397	C₃×#95	C₂³	1	1	yes	characteristic
398	C₃×#95	C₂³	1	1	yes	characteristic
399	C₃×#95	C₂³	1	1	yes	characteristic
400	C₃×#95	C₂³	1	1	yes	characteristic
401	C₃×#95	C₂³	1	1	yes	characteristic
402	#551	C₃×C₄	1	16	yes	complemented
403	C₂×#126	C₂²×C₃	1	1	yes	characteristic
404	C₂×#126	C₂²×C₃	1	1	yes	characteristic
405	C₂×#124	C₂²×C₃	1	1	yes	characteristic
406	C₂×#123	C₂²×C₃	1	1	yes	characteristic
407	C₂×#123	C₂²×C₃	1	1	yes	characteristic
408	C₂×#123	C₂²×C₃	1	1	yes	characteristic
409	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
410	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
411	C₂×#120	C₂²×C₃	1	1	yes	characteristic
412	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
413	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
414	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
415	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
416	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
417	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
418	C₂×#117	C₂²×C₃	1	1	yes	characteristic
419	C₂×#117	C₂²×C₃	1	1	yes	characteristic
420	C₂×#117	C₂²×C₃	1	1	yes	characteristic
421	C₂×#117	C₂²×C₃	1	1	yes	characteristic
422	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
423	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
424	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
425	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
426	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
427	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
428	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
429	C₂²×C₄²	C₂²×C₃	1	1	yes	characteristic
430	#391	C₂²×C₃	1	1	yes	characteristic, complemented
431	#391	C₂²×C₃	1	1	yes	characteristic, complemented
432	#391	C₂²×C₃	1	1	yes	characteristic, complemented
433	#390	C₂²×C₃	1	1	yes	characteristic
434	#390	C₂²×C₃	1	1	yes	characteristic
435	#390	C₂²×C₃	1	1	yes	characteristic
436	#389	C₂²×C₃	1	1	yes	characteristic, complemented
437	#389	C₂²×C₃	1	1	yes	characteristic, complemented
438	#389	C₂²×C₃	1	1	yes	characteristic, complemented
439	#389	C₂²×C₃	1	1	yes	characteristic, complemented
440	#389	C₂²×C₃	1	1	yes	characteristic, complemented
441	#389	C₂²×C₃	1	1	yes	characteristic, complemented
442	#389	C₂²×C₃	1	1	yes	characteristic, complemented
443	#389	C₂²×C₃	1	1	yes	characteristic, complemented
444	#389	C₂²×C₃	1	1	yes	characteristic, complemented
445	#389	C₂²×C₃	1	1	yes	characteristic, complemented
446	#388	C₂²×C₃	1	1	yes	characteristic
447	#388	C₂²×C₃	1	1	yes	characteristic
448	#388	C₂²×C₃	1	1	yes	characteristic
449	#388	C₂²×C₃	1	1	yes	characteristic
450	#388	C₂²×C₃	1	1	yes	characteristic
451	#388	C₂²×C₃	1	1	yes	characteristic
452	#388	C₂²×C₃	1	1	yes	characteristic
453	#388	C₂²×C₃	1	1	yes	characteristic
454	#388	C₂²×C₃	1	1	yes	characteristic
455	#388	C₂²×C₃	1	1	yes	characteristic
456	#388	C₂²×C₃	1	1	yes	characteristic
457	#388	C₂²×C₃	1	1	yes	characteristic
458	#388	C₂²×C₃	1	1	yes	characteristic
459	#388	C₂²×C₃	1	1	yes	characteristic
460	#388	C₂²×C₃	1	1	yes	characteristic
461	#388	C₂²×C₃	1	1	yes	characteristic
462	#388	C₂²×C₃	1	1	yes	characteristic
463	#388	C₂²×C₃	1	1	yes	characteristic
464	#388	C₂²×C₃	1	1	yes	characteristic
465	#388	C₂²×C₃	1	1	yes	characteristic
466	#388	C₂²×C₃	1	1	yes	characteristic
467	#388	C₂²×C₃	1	1	yes	characteristic
468	#388	C₂²×C₃	1	1	yes	characteristic, complemented
469	#388	C₂²×C₃	1	1	yes	characteristic, complemented
470	#388	C₂²×C₃	1	1	yes	characteristic, complemented
471	#388	C₂²×C₃	1	1	yes	characteristic, complemented
472	#388	C₂²×C₃	1	1	yes	characteristic, complemented
473	#388	C₂²×C₃	1	1	yes	characteristic, complemented
474	#387	C₂²×C₃	1	1	yes	characteristic, complemented
475	#387	C₂²×C₃	1	1	yes	characteristic, complemented
476	#387	C₂²×C₃	1	1	yes	characteristic, complemented
477	#387	C₂²×C₃	1	1	yes	characteristic, complemented
478	#387	C₂²×C₃	1	1	yes	characteristic, complemented
479	#387	C₂²×C₃	1	1	yes	characteristic, complemented
480	#387	C₂²×C₃	1	1	yes	characteristic, complemented
481	#387	C₂²×C₃	1	1	yes	characteristic, complemented
482	#387	C₂²×C₃	1	1	yes	characteristic, complemented
483	#387	C₂²×C₃	1	1	yes	characteristic, complemented
484	#387	C₂²×C₃	1	1	yes	characteristic, complemented
485	#387	C₂²×C₃	1	1	yes	characteristic, complemented
486	#387	C₂²×C₃	1	1	yes	characteristic, complemented
487	#387	C₂²×C₃	1	1	yes	characteristic, complemented
488	#387	C₂²×C₃	1	1	yes	characteristic, complemented
489	#387	C₂²×C₃	1	1	yes	characteristic, complemented
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	#385	C₂²×C₃	1	1	yes	characteristic
505	#385	C₂²×C₃	1	1	yes	characteristic
506	#385	C₂²×C₃	1	1	yes	characteristic
507	#385	C₂²×C₃	1	1	yes	characteristic
508	#385	C₂²×C₃	1	1	yes	characteristic
509	#385	C₂²×C₃	1	1	yes	characteristic
510	#385	C₂²×C₃	1	1	yes	characteristic
511	#385	C₂²×C₃	1	1	yes	characteristic, complemented
512	#385	C₂²×C₃	1	1	yes	characteristic, complemented
513	#385	C₂²×C₃	1	1	yes	characteristic, complemented
514	#385	C₂²×C₃	1	1	yes	characteristic, complemented
515	#385	C₂²×C₃	1	1	yes	characteristic, complemented
516	#384	C₂²×C₃	1	1	yes	characteristic, complemented
517	#384	C₂²×C₃	1	1	yes	characteristic, complemented
518	#383	C₂²×C₃	1	1	yes	characteristic, complemented
519	#382	C₂²×C₃	1	1	yes	characteristic, complemented
520	#382	C₂²×C₃	1	1	yes	characteristic, complemented
521	#382	C₂²×C₃	1	1	yes	characteristic, complemented
522	#382	C₂²×C₃	1	1	yes	characteristic, complemented
523	#381	C₂²×C₃	1	1	yes	characteristic
524	#381	C₂²×C₃	1	1	yes	characteristic
525	#380	C₂²×C₃	1	1	yes	characteristic
526	#380	C₂²×C₃	1	1	yes	characteristic
527	#380	C₂²×C₃	1	1	yes	characteristic
528	#380	C₂²×C₃	1	1	yes	characteristic
529	#380	C₂²×C₃	1	1	yes	characteristic
530	#380	C₂²×C₃	1	1	yes	characteristic
531	#380	C₂²×C₃	1	1	yes	characteristic, complemented
532	#379	C₂²×C₃	1	1	yes	characteristic
533	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
534	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
535	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
536	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
537	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
538	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
539	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
540	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
541	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
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	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
548	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
549	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
550	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
551	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
552	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
553	#376	C₂²×C₃	1	1	yes	characteristic, complemented
554	#376	C₂²×C₃	1	1	yes	characteristic, complemented
555	C₂×#95	C₂²×C₃	1	1	yes	characteristic
556	C₂×#95	C₂²×C₃	1	1	yes	characteristic
557	C₂×#95	C₂²×C₃	1	1	yes	characteristic, complemented
558	C₂⁴×C₃	—	2	2	no	—
559	C₂⁴×C₃	—	2	2	no	—
560	C₂⁴×C₃	—	4	1	no	—
561	C₂⁴×C₃	—	4	1	no	—
562	C₂⁴×C₃	—	4	1	no	—
563	C₂⁴×C₃	—	4	1	no	—
564	C₂⁴×C₃	C₂²×C₄	1	4	yes	—
565	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
566	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
567	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
568	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
569	C₂×C₃×Q₈	—	4	1	no	—
570	C₂×C₃×Q₈	—	4	1	no	—
571	C₂×C₃×Q₈	C₂²×C₄	1	4	yes	—
572	C₂×C₃×D₄	—	2	2	no	—
573	C₂×C₃×D₄	—	2	2	no	—
574	C₂×C₃×D₄	—	4	1	no	—
575	C₂×C₃×D₄	—	4	1	no	—
576	C₂×C₃×D₄	—	4	1	no	—
577	C₂×C₃×D₄	—	4	1	no	—
578	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
579	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
580	C₂×C₃×D₄	C₂²×C₄	1	4	yes	—
581	C₂²×C₃×C₄	—	2	2	no	—
582	C₂²×C₃×C₄	—	2	2	no	—
583	C₂²×C₃×C₄	—	2	2	no	—
584	C₂²×C₃×C₄	—	2	2	no	—
585	C₂²×C₃×C₄	—	2	2	no	—
586	C₂²×C₃×C₄	—	2	2	no	—
587	C₂²×C₃×C₄	—	2	2	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	—	4	1	no	—
605	C₂²×C₃×C₄	—	4	1	no	—
606	C₂²×C₃×C₄	—	4	1	no	—
607	C₂²×C₃×C₄	—	4	1	no	—
608	C₂²×C₃×C₄	—	4	1	no	—
609	C₂²×C₃×C₄	—	4	1	no	—
610	C₂²×C₃×C₄	—	4	1	no	—
611	C₂²×C₃×C₄	—	4	1	no	—
612	C₂²×C₃×C₄	—	4	1	no	—
613	C₂²×C₃×C₄	—	4	1	no	—
614	C₂²×C₃×C₄	—	4	1	no	—
615	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
616	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
617	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
618	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
619	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
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	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
638	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
639	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
640	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
641	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
642	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
643	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
644	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
645	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
646	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
647	C₃×C₄⋊C₄	—	2	2	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	—	4	1	no	—
658	C₃×C₄⋊C₄	—	4	1	no	—
659	C₃×C₄⋊C₄	—	4	1	no	—
660	C₃×C₄⋊C₄	—	4	1	no	—
661	C₃×C₄⋊C₄	—	4	1	no	—
662	C₃×C₄⋊C₄	—	4	1	no	—
663	C₃×C₄⋊C₄	—	4	1	no	—
664	C₃×C₄⋊C₄	—	4	1	no	—
665	C₃×C₄⋊C₄	—	4	1	no	—
666	C₃×C₄⋊C₄	—	4	1	no	—
667	C₃×C₄⋊C₄	—	4	1	no	—
668	C₃×C₄⋊C₄	—	4	1	no	—
669	C₃×C₄⋊C₄	—	4	1	no	—
670	C₃×C₄⋊C₄	—	4	1	no	—
671	C₃×C₄⋊C₄	—	4	1	no	—
672	C₃×C₄⋊C₄	—	4	1	no	—
673	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
674	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
675	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
676	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
677	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
678	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
679	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
680	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
681	C₃×C₂²⋊C₄	—	2	2	no	—
682	C₃×C₂²⋊C₄	—	2	2	no	—
683	C₃×C₂²⋊C₄	—	2	2	no	—
684	C₃×C₂²⋊C₄	—	2	2	no	—
685	C₃×C₂²⋊C₄	—	2	2	no	—
686	C₃×C₂²⋊C₄	—	2	2	no	—
687	C₃×C₂²⋊C₄	—	2	2	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	—	4	1	no	—
694	C₃×C₂²⋊C₄	—	4	1	no	—
695	C₃×C₂²⋊C₄	—	4	1	no	—
696	C₃×C₂²⋊C₄	—	4	1	no	—
697	C₃×C₂²⋊C₄	—	4	1	no	—
698	C₃×C₂²⋊C₄	—	4	1	no	—
699	C₃×C₂²⋊C₄	—	4	1	no	—
700	C₃×C₂²⋊C₄	—	4	1	no	—
701	C₃×C₂²⋊C₄	—	4	1	no	—
702	C₃×C₂²⋊C₄	—	4	1	no	—
703	C₃×C₂²⋊C₄	—	4	1	no	—
704	C₃×C₂²⋊C₄	—	4	1	no	—
705	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
706	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
707	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
708	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
709	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
710	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
711	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
712	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
713	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
714	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
715	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
716	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
717	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
718	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
719	C₃×C₄²	—	2	2	no	—
720	C₃×C₄²	—	2	2	no	—
721	C₃×C₄²	—	2	2	no	—
722	C₃×C₄²	—	2	2	no	—
723	C₃×C₄²	—	4	1	no	—
724	C₃×C₄²	—	4	1	no	—
725	C₃×C₄²	—	4	1	no	—
726	C₃×C₄²	—	4	1	no	—
727	C₃×C₄²	—	4	1	no	—
728	C₃×C₄²	—	4	1	no	—
729	C₃×C₄²	—	4	1	no	—
730	C₃×C₄²	—	4	1	no	—
731	C₃×C₄²	—	4	1	no	—
732	C₃×C₄²	—	4	1	no	—
733	C₃×C₄²	—	4	1	no	—
734	C₃×C₄²	—	4	1	no	—
735	C₃×C₄²	—	4	1	no	—
736	C₃×C₄²	—	4	1	no	—
737	C₃×C₄²	C₂²×C₄	1	4	yes	—
738	C₃×C₄²	C₂²×C₄	1	4	yes	—
739	C₃×C₄²	C₂²×C₄	1	4	yes	—
740	C₂⁵	C₂³×C₃	1	1	yes	characteristic
741	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
742	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
743	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
744	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
745	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
746	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
747	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
748	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
749	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
750	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
751	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
752	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
753	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
754	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
755	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
756	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
757	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
758	#126	C₂×C₃×C₄	1	8	yes	complemented
759	#126	C₂×C₃×C₄	1	8	yes	complemented
760	#124	C₂×C₃×C₄	1	8	yes	complemented
761	#123	C₂×C₃×C₄	1	8	yes	complemented
762	#123	C₂×C₃×C₄	1	8	yes	complemented
763	#123	C₂×C₃×C₄	1	8	yes	complemented
764	C₂²⋊Q₈	C₂×C₃×C₄	1	8	yes	complemented
765	C₂²⋊Q₈	C₂×C₃×C₄	1	8	yes	complemented
766	#120	C₂×C₃×C₄	1	8	yes	—
767	C₄×Q₈	—	4	2	no	—
768	C₄×D₄	—	4	2	no	—
769	C₄×D₄	—	4	2	no	—
770	C₄×D₄	—	4	2	no	—
771	C₄×D₄	C₂×C₃×C₄	1	8	yes	complemented
772	C₄×D₄	C₂×C₃×C₄	1	8	yes	complemented
773	#117	—	4	2	no	—
774	#117	—	4	2	no	—
775	#117	—	4	2	no	—
776	#117	C₂×C₃×C₄	1	8	yes	complemented
777	#117	C₂×C₃×C₄	1	8	yes	complemented
778	C₂×C₄⋊C₄	—	4	2	no	—
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×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
796	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
797	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
798	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
799	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
800	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
801	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
802	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
803	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
804	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
805	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
806	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
807	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
808	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
809	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
810	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
811	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
812	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
813	C₂×C₂²⋊C₄	—	4	2	no	—
814	C₂×C₂²⋊C₄	—	4	2	no	—
815	C₂×C₂²⋊C₄	—	4	2	no	—
816	C₂×C₂²⋊C₄	C₂×C₃×C₄	1	8	yes	complemented
817	C₂×C₂²⋊C₄	C₂×C₃×C₄	1	8	yes	complemented
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×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
832	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
833	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
834	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
835	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
836	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
837	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
838	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
839	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
840	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
841	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
842	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
843	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
844	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
845	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
846	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
847	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
848	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
849	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
850	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
851	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
852	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
853	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
854	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
855	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
856	C₂×C₄²	—	4	2	no	—
857	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
858	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
859	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
860	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
861	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
862	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
863	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
864	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
865	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
866	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
867	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
868	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
869	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
870	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
871	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
872	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
873	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
874	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
875	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
876	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
877	C₂×C₄²	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	#95	C₂³×C₃	1	1	yes	characteristic
903	#95	C₂³×C₃	1	1	yes	characteristic
904	#95	C₂³×C₃	1	1	yes	characteristic
905	#95	C₂³×C₃	1	1	yes	characteristic
906	#95	C₂³×C₃	1	1	yes	characteristic
907	#95	C₂³×C₃	1	1	yes	characteristic
908	#95	C₂³×C₃	1	1	yes	characteristic
909	#95	C₂³×C₃	1	1	yes	characteristic
910	#95	C₂³×C₃	1	1	yes	characteristic
911	#95	C₂³×C₃	1	1	yes	characteristic
912	#95	C₂³×C₃	1	1	yes	characteristic
913	#95	C₂³×C₃	1	1	yes	characteristic
914	#95	C₂³×C₃	1	1	yes	characteristic
915	#95	C₂³×C₃	1	1	yes	characteristic
916	#95	C₂³×C₃	1	1	yes	characteristic
917	#95	C₂³×C₃	1	1	yes	characteristic
918	#95	C₂³×C₃	1	1	yes	characteristic
919	#95	C₂³×C₃	1	1	yes	characteristic
920	#95	C₂³×C₃	1	1	yes	characteristic
921	#95	C₂³×C₃	1	1	yes	characteristic
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	—	2	1	no	—
927	C₂³×C₃	—	2	1	no	—
928	C₂³×C₃	—	2	1	no	—
929	C₂³×C₃	—	2	1	no	—
930	C₂³×C₃	—	2	1	no	—
931	C₂³×C₃	—	2	1	no	—
932	C₂³×C₃	—	2	1	no	—
933	C₂³×C₃	—	2	1	no	—
934	C₂³×C₃	—	2	1	no	—
935	C₂³×C₃	—	2	1	no	—
936	C₂³×C₃	—	2	1	no	—
937	C₂³×C₃	—	2	1	no	—
938	C₂³×C₃	—	2	1	no	—
939	C₂³×C₃	—	2	1	no	—
940	C₂³×C₃	—	2	1	no	—
941	C₂³×C₃	—	2	1	no	—
942	C₂³×C₃	—	2	1	no	—
943	C₂³×C₃	—	2	1	no	—
944	C₂³×C₃	—	2	8	no	—
945	C₂³×C₃	—	4	4	no	—
946	C₂³×C₃	—	4	4	no	—
947	C₂³×C₃	—	8	2	no	—
948	C₂³×C₃	—	8	2	no	—
949	C₂³×C₃	—	8	2	no	—
950	C₂³×C₃	—	8	2	no	—
951	C₂³×C₃	C₂³×C₄	1	2	yes	—
952	C₂³×C₃	C₂³×C₄	1	2	yes	—
953	C₂³×C₃	C₂³×C₄	1	2	yes	—
954	C₂³×C₃	C₂³×C₄	1	2	yes	—
955	C₂³×C₃	H(5,𝔽₂)	1	2	yes	—
956	C₂³×C₃	2₋¹⁺⁴	1	2	yes	—
957	C₂³×C₃	C₂⁵	1	1	yes	characteristic
958	C₃×Q₈	—	4	4	no	—
959	C₃×D₄	—	2	8	no	—
960	C₃×D₄	—	4	4	no	—
961	C₃×D₄	—	4	4	no	—
962	C₂×C₃×C₄	—	2	8	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	—	2	1	no	—
1007	C₂×C₃×C₄	—	2	1	no	—
1008	C₂×C₃×C₄	—	2	1	no	—
1009	C₂×C₃×C₄	—	2	1	no	—
1010	C₂×C₃×C₄	—	2	1	no	—
1011	C₂×C₃×C₄	—	2	1	no	—
1012	C₂×C₃×C₄	—	2	1	no	—
1013	C₂×C₃×C₄	—	2	1	no	—
1014	C₂×C₃×C₄	—	2	1	no	—
1015	C₂×C₃×C₄	—	2	1	no	—
1016	C₂×C₃×C₄	—	2	1	no	—
1017	C₂×C₃×C₄	—	2	1	no	—
1018	C₂×C₃×C₄	—	2	1	no	—
1019	C₂×C₃×C₄	—	2	1	no	—
1020	C₂×C₃×C₄	—	2	1	no	—
1021	C₂×C₃×C₄	—	2	1	no	—
1022	C₂×C₃×C₄	—	2	1	no	—
1023	C₂×C₃×C₄	—	2	1	no	—
1024	C₂×C₃×C₄	—	2	1	no	—
1025	C₂×C₃×C₄	—	2	1	no	—
1026	C₂×C₃×C₄	—	2	1	no	—
1027	C₂×C₃×C₄	—	2	1	no	—
1028	C₂×C₃×C₄	—	2	1	no	—
1029	C₂×C₃×C₄	—	2	1	no	—
1030	C₂×C₃×C₄	—	2	1	no	—
1031	C₂×C₃×C₄	—	2	1	no	—
1032	C₂×C₃×C₄	—	4	4	no	—
1033	C₂×C₃×C₄	—	4	4	no	—
1034	C₂×C₃×C₄	—	4	4	no	—
1035	C₂×C₃×C₄	—	4	4	no	—
1036	C₂×C₃×C₄	—	4	4	no	—
1037	C₂×C₃×C₄	—	4	4	no	—
1038	C₂×C₃×C₄	—	8	2	no	—
1039	C₂×C₃×C₄	—	8	2	no	—
1040	C₂×C₃×C₄	—	8	2	no	—
1041	C₂×C₃×C₄	—	8	2	no	—
1042	C₂×C₃×C₄	—	8	2	no	—
1043	C₂×C₃×C₄	—	8	2	no	—
1044	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1045	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1046	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1047	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1048	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1049	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1050	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1051	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1052	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1053	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1054	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
1055	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1056	C₂⁴	—	2	2	no	—
1057	C₂⁴	—	2	2	no	—
1058	C₂⁴	—	4	1	no	—
1059	C₂⁴	—	4	1	no	—
1060	C₂⁴	—	4	1	no	—
1061	C₂⁴	—	4	1	no	—
1062	C₂⁴	C₂²×C₃×C₄	1	4	yes	—
1063	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1064	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1065	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1066	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1067	C₂×Q₈	—	4	1	no	—
1068	C₂×Q₈	—	4	1	no	—
1069	C₂×Q₈	C₂²×C₃×C₄	1	4	yes	—
1070	C₂×D₄	—	2	2	no	—
1071	C₂×D₄	—	2	2	no	—
1072	C₂×D₄	—	4	1	no	—
1073	C₂×D₄	—	4	1	no	—
1074	C₂×D₄	—	4	1	no	—
1075	C₂×D₄	—	4	1	no	—
1076	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1077	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1078	C₂×D₄	C₂²×C₃×C₄	1	4	yes	—
1079	C₂²×C₄	—	2	2	no	—
1080	C₂²×C₄	—	2	2	no	—
1081	C₂²×C₄	—	2	2	no	—
1082	C₂²×C₄	—	2	2	no	—
1083	C₂²×C₄	—	2	2	no	—
1084	C₂²×C₄	—	2	2	no	—
1085	C₂²×C₄	—	2	2	no	—
1086	C₂²×C₄	—	4	1	no	—
1087	C₂²×C₄	—	4	1	no	—
1088	C₂²×C₄	—	4	1	no	—
1089	C₂²×C₄	—	4	1	no	—
1090	C₂²×C₄	—	4	1	no	—
1091	C₂²×C₄	—	4	1	no	—
1092	C₂²×C₄	—	4	1	no	—
1093	C₂²×C₄	—	4	1	no	—
1094	C₂²×C₄	—	4	1	no	—
1095	C₂²×C₄	—	4	1	no	—
1096	C₂²×C₄	—	4	1	no	—
1097	C₂²×C₄	—	4	1	no	—
1098	C₂²×C₄	—	4	1	no	—
1099	C₂²×C₄	—	4	1	no	—
1100	C₂²×C₄	—	4	1	no	—
1101	C₂²×C₄	—	4	1	no	—
1102	C₂²×C₄	—	4	1	no	—
1103	C₂²×C₄	—	4	1	no	—
1104	C₂²×C₄	—	4	1	no	—
1105	C₂²×C₄	—	4	1	no	—
1106	C₂²×C₄	—	4	1	no	—
1107	C₂²×C₄	—	4	1	no	—
1108	C₂²×C₄	—	4	1	no	—
1109	C₂²×C₄	—	4	1	no	—
1110	C₂²×C₄	—	4	1	no	—
1111	C₂²×C₄	—	4	1	no	—
1112	C₂²×C₄	—	4	1	no	—
1113	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
1114	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
1115	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
1116	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
1117	C₂²×C₄	C₂²×C₃×C₄	1	4	yes	—
1118	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1119	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1120	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1122	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1125	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1126	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1127	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1128	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1129	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1130	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1131	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1132	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1133	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1134	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1135	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1136	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1137	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1138	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1139	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1140	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1141	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1142	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1143	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1144	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1145	C₄⋊C₄	—	2	2	no	—
1146	C₄⋊C₄	—	4	1	no	—
1147	C₄⋊C₄	—	4	1	no	—
1148	C₄⋊C₄	—	4	1	no	—
1149	C₄⋊C₄	—	4	1	no	—
1150	C₄⋊C₄	—	4	1	no	—
1151	C₄⋊C₄	—	4	1	no	—
1152	C₄⋊C₄	—	4	1	no	—
1153	C₄⋊C₄	—	4	1	no	—
1154	C₄⋊C₄	—	4	1	no	—
1155	C₄⋊C₄	—	4	1	no	—
1156	C₄⋊C₄	—	4	1	no	—
1157	C₄⋊C₄	—	4	1	no	—
1158	C₄⋊C₄	—	4	1	no	—
1159	C₄⋊C₄	—	4	1	no	—
1160	C₄⋊C₄	—	4	1	no	—
1161	C₄⋊C₄	—	4	1	no	—
1162	C₄⋊C₄	—	4	1	no	—
1163	C₄⋊C₄	—	4	1	no	—
1164	C₄⋊C₄	—	4	1	no	—
1165	C₄⋊C₄	—	4	1	no	—
1166	C₄⋊C₄	—	4	1	no	—
1167	C₄⋊C₄	—	4	1	no	—
1168	C₄⋊C₄	—	4	1	no	—
1169	C₄⋊C₄	—	4	1	no	—
1170	C₄⋊C₄	—	4	1	no	—
1171	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1172	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1173	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1174	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1175	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1176	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1177	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1178	C₄⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1179	C₂²⋊C₄	—	2	2	no	—
1180	C₂²⋊C₄	—	2	2	no	—
1181	C₂²⋊C₄	—	2	2	no	—
1182	C₂²⋊C₄	—	2	2	no	—
1183	C₂²⋊C₄	—	2	2	no	—
1184	C₂²⋊C₄	—	2	2	no	—
1185	C₂²⋊C₄	—	2	2	no	—
1186	C₂²⋊C₄	—	4	1	no	—
1187	C₂²⋊C₄	—	4	1	no	—
1188	C₂²⋊C₄	—	4	1	no	—
1189	C₂²⋊C₄	—	4	1	no	—
1190	C₂²⋊C₄	—	4	1	no	—
1191	C₂²⋊C₄	—	4	1	no	—
1192	C₂²⋊C₄	—	4	1	no	—
1193	C₂²⋊C₄	—	4	1	no	—
1194	C₂²⋊C₄	—	4	1	no	—
1195	C₂²⋊C₄	—	4	1	no	—
1196	C₂²⋊C₄	—	4	1	no	—
1197	C₂²⋊C₄	—	4	1	no	—
1198	C₂²⋊C₄	—	4	1	no	—
1199	C₂²⋊C₄	—	4	1	no	—
1200	C₂²⋊C₄	—	4	1	no	—
1201	C₂²⋊C₄	—	4	1	no	—
1202	C₂²⋊C₄	—	4	1	no	—
1203	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1204	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1205	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1206	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1207	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1208	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1209	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1210	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1211	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1212	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1213	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1214	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1215	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1216	C₂²⋊C₄	C₂²×C₃×C₄	1	4	yes	—
1217	C₄²	—	2	2	no	—
1218	C₄²	—	2	2	no	—
1219	C₄²	—	2	2	no	—
1220	C₄²	—	2	2	no	—
1221	C₄²	—	4	1	no	—
1222	C₄²	—	4	1	no	—
1223	C₄²	—	4	1	no	—
1224	C₄²	—	4	1	no	—
1225	C₄²	—	4	1	no	—
1226	C₄²	—	4	1	no	—
1227	C₄²	—	4	1	no	—
1228	C₄²	—	4	1	no	—
1229	C₄²	—	4	1	no	—
1230	C₄²	—	4	1	no	—
1231	C₄²	—	4	1	no	—
1232	C₄²	—	4	1	no	—
1233	C₄²	—	4	1	no	—
1234	C₄²	—	4	1	no	—
1235	C₄²	C₂²×C₃×C₄	1	4	yes	—
1236	C₄²	C₂²×C₃×C₄	1	4	yes	—
1237	C₄²	C₂²×C₃×C₄	1	4	yes	—
1238	C₂²×C₃	—	2	2	no	—
1239	C₂²×C₃	—	2	2	no	—
1240	C₂²×C₃	—	2	2	no	—
1241	C₂²×C₃	—	2	2	no	—
1242	C₂²×C₃	—	2	2	no	—
1243	C₂²×C₃	—	2	2	no	—
1244	C₂²×C₃	—	2	2	no	—
1245	C₂²×C₃	—	2	2	no	—
1246	C₂²×C₃	—	2	2	no	—
1247	C₂²×C₃	—	2	2	no	—
1248	C₂²×C₃	—	2	2	no	—
1249	C₂²×C₃	—	2	2	no	—
1250	C₂²×C₃	—	2	2	no	—
1251	C₂²×C₃	—	2	2	no	—
1252	C₂²×C₃	—	2	2	no	—
1253	C₂²×C₃	—	4	1	no	—
1254	C₂²×C₃	—	4	1	no	—
1255	C₂²×C₃	—	4	1	no	—
1256	C₂²×C₃	—	4	1	no	—
1257	C₂²×C₃	—	4	1	no	—
1258	C₂²×C₃	—	4	1	no	—
1259	C₂²×C₃	—	4	1	no	—
1260	C₂²×C₃	—	4	1	no	—
1261	C₂²×C₃	—	4	1	no	—
1262	C₂²×C₃	—	4	1	no	—
1263	C₂²×C₃	—	4	1	no	—
1264	C₂²×C₃	—	4	1	no	—
1265	C₂²×C₃	—	8	8	no	—
1266	C₂²×C₃	#520	1	4	yes	—
1267	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1268	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1269	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1270	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1271	C₂²×C₃	#585	1	1	yes	characteristic
1272	C₂²×C₃	#585	1	1	yes	characteristic
1273	C₂²×C₃	#585	1	1	yes	characteristic
1274	C₃×C₄	—	2	2	no	—
1275	C₃×C₄	—	2	2	no	—
1276	C₃×C₄	—	2	2	no	—
1277	C₃×C₄	—	2	2	no	—
1278	C₃×C₄	—	2	2	no	—
1279	C₃×C₄	—	2	2	no	—
1280	C₃×C₄	—	2	2	no	—
1281	C₃×C₄	—	2	2	no	—
1282	C₃×C₄	—	2	2	no	—
1283	C₃×C₄	—	2	2	no	—
1284	C₃×C₄	—	2	2	no	—
1285	C₃×C₄	—	2	2	no	—
1286	C₃×C₄	—	4	1	no	—
1287	C₃×C₄	—	4	1	no	—
1288	C₃×C₄	—	4	1	no	—
1289	C₃×C₄	—	4	1	no	—
1290	C₃×C₄	—	4	1	no	—
1291	C₃×C₄	—	4	1	no	—
1292	C₃×C₄	—	4	1	no	—
1293	C₃×C₄	—	4	1	no	—
1294	C₃×C₄	—	4	1	no	—
1295	C₃×C₄	—	4	1	no	—
1296	C₃×C₄	—	4	1	no	—
1297	C₃×C₄	—	4	1	no	—
1298	C₃×C₄	—	4	1	no	—
1299	C₃×C₄	—	4	1	no	—
1300	C₃×C₄	—	4	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	2	1	no	—
1305	C₂³	—	2	1	no	—
1306	C₂³	—	2	1	no	—
1307	C₂³	—	2	1	no	—
1308	C₂³	—	2	1	no	—
1309	C₂³	—	2	1	no	—
1310	C₂³	—	2	1	no	—
1311	C₂³	—	2	1	no	—
1312	C₂³	—	2	1	no	—
1313	C₂³	—	2	1	no	—
1314	C₂³	—	2	1	no	—
1315	C₂³	—	2	1	no	—
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	8	no	—
1324	C₂³	—	4	4	no	—
1325	C₂³	—	4	4	no	—
1326	C₂³	—	8	2	no	—
1327	C₂³	—	8	2	no	—
1328	C₂³	—	8	2	no	—
1329	C₂³	—	8	2	no	—
1330	C₂³	C₂³×C₃×C₄	1	2	yes	—
1331	C₂³	C₂³×C₃×C₄	1	2	yes	—
1332	C₂³	C₂³×C₃×C₄	1	2	yes	—
1333	C₂³	C₂³×C₃×C₄	1	2	yes	—
1334	C₂³	C₃×H(5,𝔽₂)	1	2	yes	—
1335	C₂³	C₃×2₋¹⁺⁴	1	2	yes	—
1336	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1337	Q₈	—	4	4	no	—
1338	D₄	—	2	8	no	—
1339	D₄	—	4	4	no	—
1340	D₄	—	4	4	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	8	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	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	4	4	no	—
1412	C₂×C₄	—	4	4	no	—
1413	C₂×C₄	—	4	4	no	—
1414	C₂×C₄	—	4	4	no	—
1415	C₂×C₄	—	4	4	no	—
1416	C₂×C₄	—	4	4	no	—
1417	C₂×C₄	—	8	2	no	—
1418	C₂×C₄	—	8	2	no	—
1419	C₂×C₄	—	8	2	no	—
1420	C₂×C₄	—	8	2	no	—
1421	C₂×C₄	—	8	2	no	—
1422	C₂×C₄	—	8	2	no	—
1423	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1424	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1425	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1426	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1427	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1428	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1429	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1430	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1431	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1432	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1433	C₂×C₄	C₂³×C₃×C₄	1	2	yes	—
1434	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1435	C₂×C₃	—	2	4	no	—
1436	C₂×C₃	—	4	2	no	—
1437	C₂×C₃	—	4	2	no	—
1438	C₂×C₃	—	4	2	no	—
1439	C₂×C₃	C₂×#520	1	1	yes	characteristic
1440	C₂×C₃	#3428	1	1	yes	characteristic
1441	C₂×C₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1442	C₂×C₃	#3535	1	1	yes	characteristic
1443	C₂×C₃	#3542	1	1	yes	characteristic
1444	C₂×C₃	#3545	1	1	yes	characteristic
1445	C₂×C₃	#3564	1	1	yes	characteristic
1446	C₂²	—	2	2	no	—
1447	C₂²	—	2	2	no	—
1448	C₂²	—	2	2	no	—
1449	C₂²	—	2	2	no	—
1450	C₂²	—	2	2	no	—
1451	C₂²	—	2	2	no	—
1452	C₂²	—	2	2	no	—
1453	C₂²	—	2	2	no	—
1454	C₂²	—	2	2	no	—
1455	C₂²	—	2	2	no	—
1456	C₂²	—	2	2	no	—
1457	C₂²	—	2	2	no	—
1458	C₂²	—	2	2	no	—
1459	C₂²	—	2	2	no	—
1460	C₂²	—	2	2	no	—
1461	C₂²	—	4	1	no	—
1462	C₂²	—	4	1	no	—
1463	C₂²	—	4	1	no	—
1464	C₂²	—	4	1	no	—
1465	C₂²	—	4	1	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	4	1	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	4	1	no	—
1472	C₂²	—	4	1	no	—
1473	C₂²	—	8	8	no	—
1474	C₂²	C₃×#520	1	4	yes	—
1475	C₂²	C₂⁴×C₃×C₄	1	1	yes	characteristic
1476	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1477	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1478	C₂²	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1479	C₂²	C₃×#585	1	1	yes	characteristic
1480	C₂²	C₃×#585	1	1	yes	characteristic
1481	C₂²	C₃×#585	1	1	yes	characteristic
1482	C₄	—	2	2	no	—
1483	C₄	—	2	2	no	—
1484	C₄	—	2	2	no	—
1485	C₄	—	2	2	no	—
1486	C₄	—	2	2	no	—
1487	C₄	—	2	2	no	—
1488	C₄	—	2	2	no	—
1489	C₄	—	2	2	no	—
1490	C₄	—	2	2	no	—
1491	C₄	—	2	2	no	—
1492	C₄	—	2	2	no	—
1493	C₄	—	2	2	no	—
1494	C₄	—	4	1	no	—
1495	C₄	—	4	1	no	—
1496	C₄	—	4	1	no	—
1497	C₄	—	4	1	no	—
1498	C₄	—	4	1	no	—
1499	C₄	—	4	1	no	—
1500	C₄	—	4	1	no	—
1501	C₄	—	4	1	no	—
1502	C₄	—	4	1	no	—
1503	C₄	—	4	1	no	—
1504	C₄	—	4	1	no	—
1505	C₄	—	4	1	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	4	1	no	—
1508	C₄	—	4	1	no	—
1509	C₃	#34479	1	1	yes	characteristic, direct product factor, Sylow
1510	C₂	—	2	4	no	—
1511	C₂	—	4	2	no	—
1512	C₂	—	4	2	no	—
1513	C₂	—	4	2	no	—
1514	C₂	C₂×C₃×#520	1	1	yes	characteristic
1515	C₂	C₃×#3428	1	1	yes	characteristic
1516	C₂	C₃×C₄×H(5,𝔽₂)	1	1	yes	characteristic
1517	C₂	C₃×#3535	1	1	yes	characteristic
1518	C₂	C₃×#3542	1	1	yes	characteristic
1519	C₂	C₃×#3545	1	1	yes	characteristic
1520	C₂	C₃×#3564	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×#120	C₂²
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×#2379	C₂	semidirect
4. C₃×#2378	C₂	semidirect
5. C₃×#2376	C₂	semidirect
6. C₃×#2373	C₂	semidirect
7. C₃×#2368	C₂	semidirect
8. C₃×#2359	C₂	semidirect
9. C₃×#2359	C₂	semidirect
11. C₃×#2354	C₂	semidirect
12. C₃×#2349	C₂	semidirect
13. C₃×#2346	C₂	semidirect
14. C₃×#2343	C₂	semidirect
15. C₃×#2342	C₂	semidirect
16. C₃×#2342	C₂	semidirect
17. C₃×#2335	C₂	semidirect
18. C₃×#2335	C₂	semidirect
19. C₃×#2334	C₂	semidirect
20. C₃×#2334	C₂	semidirect
21. C₃×#2326	C₂	semidirect
22. C₃×#2323	C₂	semidirect
23. C₃×#2322	C₂	semidirect
25. C₃×#2318	C₂	semidirect
26. C₃×#2317	C₂	semidirect
27. C₃×#2315	C₂	semidirect
28. C₃×#2314	C₂	semidirect
29. C₃×C₄×C₂²⋊Q₈	C₂	semidirect
30. C₃×#2290	C₂	semidirect
31. C₂×C₃×#388	C₂	semidirect
32. #34479	C₃	direct (N × H)
33. C₃×#551	C₄	semidirect
43. C₂×C₃×C₄×Q₈	C₂²	semidirect
53. C₂×C₃×#117	C₂²	semidirect
61. C₃×#391	C₂²	semidirect
62. C₃×#391	C₂²	semidirect
63. C₃×#391	C₂²	semidirect
67. C₃×#389	C₂²	semidirect
68. C₃×#389	C₂²	semidirect
69. C₃×#389	C₂²	semidirect
70. C₃×#389	C₂²	semidirect
71. C₃×#389	C₂²	semidirect
72. C₃×#389	C₂²	semidirect
73. C₃×#389	C₂²	semidirect
74. C₃×#389	C₂²	semidirect
75. C₃×#389	C₂²	semidirect
76. C₃×#389	C₂²	semidirect
99. C₃×#388	C₂²	semidirect
100. C₃×#388	C₂²	semidirect
101. C₃×#388	C₂²	semidirect
102. C₃×#388	C₂²	semidirect
103. C₃×#388	C₂²	semidirect
104. C₃×#388	C₂²	semidirect
105. C₃×#387	C₂²	semidirect
106. C₃×#387	C₂²	semidirect
107. C₃×#387	C₂²	semidirect
108. C₃×#387	C₂²	semidirect
109. C₃×#387	C₂²	semidirect
110. C₃×#387	C₂²	semidirect
111. C₃×#387	C₂²	semidirect
112. C₃×#387	C₂²	semidirect
113. C₃×#387	C₂²	semidirect
114. C₃×#387	C₂²	semidirect
115. C₃×#387	C₂²	semidirect
116. C₃×#387	C₂²	semidirect
117. C₃×#387	C₂²	semidirect
118. C₃×#387	C₂²	semidirect
119. C₃×#387	C₂²	semidirect
120. C₃×#387	C₂²	semidirect
142. C₃×#385	C₂²	semidirect
143. C₃×#385	C₂²	semidirect
144. C₃×#385	C₂²	semidirect
145. C₃×#385	C₂²	semidirect
146. C₃×#385	C₂²	semidirect
147. C₃×#384	C₂²	semidirect
148. C₃×#384	C₂²	semidirect
149. C₃×#383	C₂²	semidirect
150. C₃×#382	C₂²	semidirect
151. C₃×#382	C₂²	semidirect
152. C₃×#382	C₂²	semidirect
153. C₃×#382	C₂²	semidirect
162. C₃×#380	C₂²	semidirect
164. C₃×C₄×C₄⋊C₄	C₂²	semidirect
165. C₃×C₄×C₄⋊C₄	C₂²	semidirect
166. C₃×C₄×C₄⋊C₄	C₂²	semidirect
167. C₃×C₄×C₄⋊C₄	C₂²	semidirect
168. C₃×C₄×C₄⋊C₄	C₂²	semidirect
169. C₃×C₄×C₄⋊C₄	C₂²	semidirect
170. C₃×C₄×C₄⋊C₄	C₂²	semidirect
171. C₃×C₄×C₄⋊C₄	C₂²	semidirect
172. C₃×C₄×C₄⋊C₄	C₂²	semidirect
182. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
183. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
184. C₃×#376	C₂²	semidirect
185. C₃×#376	C₂²	semidirect
188. C₂×C₃×#95	C₂²	semidirect
190. #2383	C₂×C₃	semidirect
191. #2379	C₂×C₃	semidirect
192. #2378	C₂×C₃	semidirect
193. #2376	C₂×C₃	semidirect
194. #2373	C₂×C₃	semidirect
195. #2368	C₂×C₃	semidirect
196. #2359	C₂×C₃	semidirect
197. #2359	C₂×C₃	semidirect
199. #2354	C₂×C₃	semidirect
200. #2349	C₂×C₃	semidirect
201. #2346	C₂×C₃	semidirect
202. #2343	C₂×C₃	semidirect
203. #2342	C₂×C₃	semidirect
204. #2342	C₂×C₃	semidirect
205. #2335	C₂×C₃	semidirect
206. #2335	C₂×C₃	semidirect
207. #2334	C₂×C₃	semidirect
208. #2334	C₂×C₃	semidirect
209. #2326	C₂×C₃	semidirect
210. #2323	C₂×C₃	semidirect
211. #2322	C₂×C₃	semidirect
213. #2318	C₂×C₃	semidirect
214. #2317	C₂×C₃	semidirect
215. #2315	C₂×C₃	semidirect
216. #2314	C₂×C₃	semidirect
217. C₄×C₂²⋊Q₈	C₂×C₃	semidirect
218. #2290	C₂×C₃	semidirect
219. C₂×#388	C₂×C₃	semidirect
238. C₃×#126	C₂×C₄	semidirect
239. C₃×#126	C₂×C₄	semidirect
240. C₃×#124	C₂×C₄	semidirect
241. C₃×#123	C₂×C₄	semidirect
242. C₃×#123	C₂×C₄	semidirect
243. C₃×#123	C₂×C₄	semidirect
244. C₃×C₂²⋊Q₈	C₂×C₄	semidirect
245. C₃×C₂²⋊Q₈	C₂×C₄	semidirect
251. C₃×C₄×D₄	C₂×C₄	semidirect
252. C₃×C₄×D₄	C₂×C₄	semidirect
256. C₃×#117	C₂×C₄	semidirect
257. C₃×#117	C₂×C₄	semidirect
296. C₂×C₃×C₂²⋊C₄	C₂×C₄	semidirect
297. C₂×C₃×C₂²⋊C₄	C₂×C₄	semidirect
402. #551	C₃×C₄	semidirect
412. C₂×C₄×Q₈	C₂²×C₃	semidirect
422. C₂×#117	C₂²×C₃	semidirect
430. #391	C₂²×C₃	semidirect
431. #391	C₂²×C₃	semidirect
432. #391	C₂²×C₃	semidirect
436. #389	C₂²×C₃	semidirect
437. #389	C₂²×C₃	semidirect
438. #389	C₂²×C₃	semidirect
439. #389	C₂²×C₃	semidirect
440. #389	C₂²×C₃	semidirect
441. #389	C₂²×C₃	semidirect
442. #389	C₂²×C₃	semidirect
443. #389	C₂²×C₃	semidirect
444. #389	C₂²×C₃	semidirect
445. #389	C₂²×C₃	semidirect
468. #388	C₂²×C₃	semidirect
469. #388	C₂²×C₃	semidirect
470. #388	C₂²×C₃	semidirect
471. #388	C₂²×C₃	semidirect
472. #388	C₂²×C₃	semidirect
473. #388	C₂²×C₃	semidirect
474. #387	C₂²×C₃	semidirect
475. #387	C₂²×C₃	semidirect
476. #387	C₂²×C₃	semidirect
477. #387	C₂²×C₃	semidirect
478. #387	C₂²×C₃	semidirect
479. #387	C₂²×C₃	semidirect
480. #387	C₂²×C₃	semidirect
481. #387	C₂²×C₃	semidirect
482. #387	C₂²×C₃	semidirect
483. #387	C₂²×C₃	semidirect
484. #387	C₂²×C₃	semidirect
485. #387	C₂²×C₃	semidirect
486. #387	C₂²×C₃	semidirect
487. #387	C₂²×C₃	semidirect
488. #387	C₂²×C₃	semidirect
489. #387	C₂²×C₃	semidirect
511. #385	C₂²×C₃	semidirect
512. #385	C₂²×C₃	semidirect
513. #385	C₂²×C₃	semidirect
514. #385	C₂²×C₃	semidirect
515. #385	C₂²×C₃	semidirect
516. #384	C₂²×C₃	semidirect
517. #384	C₂²×C₃	semidirect
518. #383	C₂²×C₃	semidirect
519. #382	C₂²×C₃	semidirect
520. #382	C₂²×C₃	semidirect
521. #382	C₂²×C₃	semidirect
522. #382	C₂²×C₃	semidirect
531. #380	C₂²×C₃	semidirect
533. C₄×C₄⋊C₄	C₂²×C₃	semidirect
534. C₄×C₄⋊C₄	C₂²×C₃	semidirect
535. C₄×C₄⋊C₄	C₂²×C₃	semidirect
536. C₄×C₄⋊C₄	C₂²×C₃	semidirect
537. C₄×C₄⋊C₄	C₂²×C₃	semidirect
538. C₄×C₄⋊C₄	C₂²×C₃	semidirect
539. C₄×C₄⋊C₄	C₂²×C₃	semidirect
540. C₄×C₄⋊C₄	C₂²×C₃	semidirect
541. C₄×C₄⋊C₄	C₂²×C₃	semidirect
551. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
552. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
553. #376	C₂²×C₃	semidirect
554. #376	C₂²×C₃	semidirect
557. C₂×#95	C₂²×C₃	semidirect
758. #126	C₂×C₃×C₄	semidirect
759. #126	C₂×C₃×C₄	semidirect
760. #124	C₂×C₃×C₄	semidirect
761. #123	C₂×C₃×C₄	semidirect
762. #123	C₂×C₃×C₄	semidirect
763. #123	C₂×C₃×C₄	semidirect
764. C₂²⋊Q₈	C₂×C₃×C₄	semidirect
765. C₂²⋊Q₈	C₂×C₃×C₄	semidirect
771. C₄×D₄	C₂×C₃×C₄	semidirect
772. C₄×D₄	C₂×C₃×C₄	semidirect
776. #117	C₂×C₃×C₄	semidirect
777. #117	C₂×C₃×C₄	semidirect
816. C₂×C₂²⋊C₄	C₂×C₃×C₄	semidirect
817. C₂×C₂²⋊C₄	C₂×C₃×C₄	semidirect
1509. C₃	#34479	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×#551	2
C₃×#2383	2
C₃×#2379	2
C₃×#2378	2
C₃×#2376	2
C₃×#2373	2
C₃×#2368	2
C₃×#2359	2
C₃×#2358	2
C₃×#2354	2
C₃×#2349	2
C₃×#2346	2
C₃×#2343	2
C₃×#2342	2
C₃×#2335	2
C₃×#2334	2
C₃×#2326	2
C₃×#2323	2
C₃×#2322	2
C₃×#2321	2
C₃×#2318	2
C₃×#2317	2
C₃×#2315	2
C₃×#2314	2
C₃×C₄×C₂²⋊Q₈	2
C₃×#2290	2
C₂×C₃×#388	2
#34479	3

Subgroups — C3×#34479 #10653086

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#34479 #10653086