Subgroups — C₃×#35967 #10654574

Order 768.

1802 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2663	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#2653	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2652	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2597	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2595	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2576	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2575	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2574	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2561	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2553	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2527	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2526	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2521	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2494	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2480	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2480	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2472	C₂	1	1	yes	maximal, characteristic
18	C₃×#2465	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2421	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2418	C₂	1	1	yes	maximal, characteristic
21	C₃×#2411	C₂	1	1	yes	maximal, characteristic
22	C₃×#2401	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2398	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#2396	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#2374	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2374	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#2373	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2373	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#2367	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#2362	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#2273	C₂	1	1	yes	maximal, characteristic, complemented
32	#35967	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₂×C₃×#126	C₂²	1	1	yes	characteristic
34	C₂×C₃×#126	C₂²	1	1	yes	characteristic
35	C₂×C₃×#124	C₂²	1	1	yes	characteristic
36	C₂×C₃×#123	C₂²	1	1	yes	characteristic
37	C₂×C₃×#123	C₂²	1	1	yes	characteristic
38	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
39	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
40	C₂×C₃×#120	C₂²	1	1	yes	characteristic
41	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
44	C₂×C₃×#117	C₂²	1	1	yes	characteristic
45	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
46	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
47	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
48	C₃×#401	C₂²	1	1	yes	characteristic, complemented
49	C₃×#401	C₂²	1	1	yes	characteristic, complemented
50	C₃×#400	C₂²	1	1	yes	characteristic, complemented
51	C₃×#400	C₂²	1	1	yes	characteristic, complemented
52	C₃×#400	C₂²	1	1	yes	characteristic, complemented
53	C₃×#400	C₂²	1	1	yes	characteristic, complemented
54	C₃×#400	C₂²	1	1	yes	characteristic, complemented
55	C₃×#400	C₂²	1	1	yes	characteristic, complemented
56	C₃×#399	C₂²	1	1	yes	characteristic
57	C₃×#399	C₂²	1	1	yes	characteristic, complemented
58	C₃×#398	C₂²	1	1	yes	characteristic, complemented
59	C₃×#398	C₂²	1	1	yes	characteristic, complemented
60	C₃×#397	C₂²	1	1	yes	characteristic
61	C₃×#397	C₂²	1	1	yes	characteristic
62	C₃×#397	C₂²	1	1	yes	characteristic
63	C₃×#397	C₂²	1	1	yes	characteristic
64	C₃×#397	C₂²	1	1	yes	characteristic
65	C₃×#397	C₂²	1	1	yes	characteristic
66	C₃×#397	C₂²	1	1	yes	characteristic
67	C₃×#397	C₂²	1	1	yes	characteristic
68	C₃×#397	C₂²	1	1	yes	characteristic
69	C₃×#397	C₂²	1	1	yes	characteristic
70	C₃×#397	C₂²	1	1	yes	characteristic, complemented
71	C₃×#397	C₂²	1	1	yes	characteristic, complemented
72	C₃×#396	C₂²	1	1	yes	characteristic
73	C₃×#396	C₂²	1	1	yes	characteristic
74	C₃×#396	C₂²	1	1	yes	characteristic
75	C₃×#396	C₂²	1	1	yes	characteristic
76	C₃×#395	C₂²	1	1	yes	characteristic, complemented
77	C₃×#395	C₂²	1	1	yes	characteristic, complemented
78	C₃×#394	C₂²	1	1	yes	characteristic
79	C₃×#394	C₂²	1	1	yes	characteristic
80	C₃×#394	C₂²	1	1	yes	characteristic
81	C₃×#394	C₂²	1	1	yes	characteristic
82	C₃×#394	C₂²	1	1	yes	characteristic
83	C₃×#394	C₂²	1	1	yes	characteristic
84	C₃×#393	C₂²	1	1	yes	characteristic
85	C₃×#393	C₂²	1	1	yes	characteristic
86	C₃×#393	C₂²	1	1	yes	characteristic
87	C₃×#393	C₂²	1	1	yes	characteristic, complemented
88	C₃×#391	C₂²	1	1	yes	characteristic, complemented
89	C₃×#391	C₂²	1	1	yes	characteristic, complemented
90	C₃×#391	C₂²	1	1	yes	characteristic, complemented
91	C₃×#390	C₂²	1	1	yes	characteristic
92	C₃×#390	C₂²	1	1	yes	characteristic
93	C₃×#390	C₂²	1	1	yes	characteristic
94	C₃×#389	C₂²	1	1	yes	characteristic, complemented
95	C₃×#389	C₂²	1	1	yes	characteristic, complemented
96	C₃×#389	C₂²	1	1	yes	characteristic, complemented
97	C₃×#389	C₂²	1	1	yes	characteristic, complemented
98	C₃×#388	C₂²	1	1	yes	characteristic
99	C₃×#388	C₂²	1	1	yes	characteristic
100	C₃×#388	C₂²	1	1	yes	characteristic
101	C₃×#388	C₂²	1	1	yes	characteristic
102	C₃×#388	C₂²	1	1	yes	characteristic
103	C₃×#388	C₂²	1	1	yes	characteristic
104	C₃×#388	C₂²	1	1	yes	characteristic
105	C₃×#388	C₂²	1	1	yes	characteristic
106	C₃×#388	C₂²	1	1	yes	characteristic
107	C₃×#388	C₂²	1	1	yes	characteristic
108	C₃×#388	C₂²	1	1	yes	characteristic
109	C₃×#388	C₂²	1	1	yes	characteristic
110	C₃×#388	C₂²	1	1	yes	characteristic
111	C₃×#388	C₂²	1	1	yes	characteristic
112	C₃×#388	C₂²	1	1	yes	characteristic
113	C₃×#388	C₂²	1	1	yes	characteristic
114	C₃×#388	C₂²	1	1	yes	characteristic, complemented
115	C₃×#388	C₂²	1	1	yes	characteristic, complemented
116	C₃×#388	C₂²	1	1	yes	characteristic, complemented
117	C₃×#388	C₂²	1	1	yes	characteristic, complemented
118	C₃×#388	C₂²	1	1	yes	characteristic, complemented
119	C₃×#388	C₂²	1	1	yes	characteristic, complemented
120	C₃×#388	C₂²	1	1	yes	characteristic, complemented
121	C₃×#388	C₂²	1	1	yes	characteristic, complemented
122	C₃×#387	C₂²	1	1	yes	characteristic, complemented
123	C₃×#387	C₂²	1	1	yes	characteristic, complemented
124	C₃×#387	C₂²	1	1	yes	characteristic, complemented
125	C₃×#387	C₂²	1	1	yes	characteristic, complemented
126	C₃×#387	C₂²	1	1	yes	characteristic, complemented
127	C₃×#387	C₂²	1	1	yes	characteristic, complemented
128	C₃×#387	C₂²	1	1	yes	characteristic, complemented
129	C₃×#387	C₂²	1	1	yes	characteristic, complemented
130	C₃×#387	C₂²	1	1	yes	characteristic, complemented
131	C₃×#387	C₂²	1	1	yes	characteristic, complemented
132	C₃×#387	C₂²	1	1	yes	characteristic, complemented
133	C₃×#387	C₂²	1	1	yes	characteristic, complemented
134	C₃×#387	C₂²	1	1	yes	characteristic, complemented
135	C₃×#387	C₂²	1	1	yes	characteristic, complemented
136	C₃×#386	C₂²	1	1	yes	characteristic
137	C₃×#386	C₂²	1	1	yes	characteristic
138	C₃×#386	C₂²	1	1	yes	characteristic
139	C₃×#386	C₂²	1	1	yes	characteristic
140	C₃×#386	C₂²	1	1	yes	characteristic
141	C₃×#385	C₂²	1	1	yes	characteristic
142	C₃×#385	C₂²	1	1	yes	characteristic
143	C₃×#385	C₂²	1	1	yes	characteristic
144	C₃×#385	C₂²	1	1	yes	characteristic
145	C₃×#385	C₂²	1	1	yes	characteristic
146	C₃×#385	C₂²	1	1	yes	characteristic
147	C₃×#385	C₂²	1	1	yes	characteristic, complemented
148	C₃×#382	C₂²	1	1	yes	characteristic, complemented
149	C₃×#382	C₂²	1	1	yes	characteristic, complemented
150	C₃×#381	C₂²	1	1	yes	characteristic
151	C₃×#381	C₂²	1	1	yes	characteristic
152	C₃×#380	C₂²	1	1	yes	characteristic
153	C₃×#380	C₂²	1	1	yes	characteristic
154	C₃×#380	C₂²	1	1	yes	characteristic
155	C₃×#379	C₂²	1	1	yes	characteristic
156	C₃×#379	C₂²	1	1	yes	characteristic
157	C₃×#379	C₂²	1	1	yes	characteristic
158	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
159	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
160	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
161	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
162	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
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×C₂²⋊C₄	C₂²	1	1	yes	characteristic
168	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
169	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
170	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
171	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
172	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
174	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
175	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
176	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
177	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
178	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
179	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
181	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
182	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
183	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
184	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
185	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₃×#376	C₂²	1	1	yes	characteristic, complemented
187	C₃×#376	C₂²	1	1	yes	characteristic, complemented
188	#2663	C₂×C₃	1	1	yes	characteristic, complemented
189	#2653	C₂×C₃	1	1	yes	characteristic, complemented
190	#2652	C₂×C₃	1	1	yes	characteristic, complemented
191	#2597	C₂×C₃	1	1	yes	characteristic, complemented
192	#2595	C₂×C₃	1	1	yes	characteristic, complemented
193	#2576	C₂×C₃	1	1	yes	characteristic, complemented
194	#2575	C₂×C₃	1	1	yes	characteristic, complemented
195	#2574	C₂×C₃	1	1	yes	characteristic, complemented
196	#2561	C₂×C₃	1	1	yes	characteristic, complemented
197	#2553	C₂×C₃	1	1	yes	characteristic, complemented
198	#2527	C₂×C₃	1	1	yes	characteristic, complemented
199	#2526	C₂×C₃	1	1	yes	characteristic, complemented
200	#2521	C₂×C₃	1	1	yes	characteristic, complemented
201	#2494	C₂×C₃	1	1	yes	characteristic, complemented
202	#2480	C₂×C₃	1	1	yes	characteristic, complemented
203	#2480	C₂×C₃	1	1	yes	characteristic, complemented
204	#2472	C₂×C₃	1	1	yes	characteristic
205	#2465	C₂×C₃	1	1	yes	characteristic, complemented
206	#2421	C₂×C₃	1	1	yes	characteristic, complemented
207	#2418	C₂×C₃	1	1	yes	characteristic
208	#2411	C₂×C₃	1	1	yes	characteristic
209	#2401	C₂×C₃	1	1	yes	characteristic, complemented
210	#2398	C₂×C₃	1	1	yes	characteristic, complemented
211	#2396	C₂×C₃	1	1	yes	characteristic, complemented
212	#2374	C₂×C₃	1	1	yes	characteristic, complemented
213	#2374	C₂×C₃	1	1	yes	characteristic, complemented
214	#2373	C₂×C₃	1	1	yes	characteristic, complemented
215	#2373	C₂×C₃	1	1	yes	characteristic, complemented
216	#2367	C₂×C₃	1	1	yes	characteristic, complemented
217	#2362	C₂×C₃	1	1	yes	characteristic, complemented
218	#2273	C₂×C₃	1	1	yes	characteristic, complemented
219	C₂⁵×C₃	C₂³	1	1	yes	characteristic
220	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
221	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
222	C₂²×C₃×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	C₃×#126	—	2	4	no	—
233	C₃×#126	—	2	4	no	—
234	C₃×#124	—	2	4	no	—
235	C₃×#123	—	2	4	no	—
236	C₃×#123	—	2	4	no	—
237	C₃×C₂²⋊Q₈	—	2	4	no	—
238	C₃×C₂²⋊Q₈	—	4	2	no	—
239	C₃×#120	—	4	2	no	—
240	C₃×C₄×Q₈	—	4	2	no	—
241	C₃×C₄×Q₈	—	4	2	no	—
242	C₃×C₄×D₄	—	4	2	no	—
243	C₃×#117	—	4	2	no	—
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×C₂²⋊C₄	—	2	4	no	—
274	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
275	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
276	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₃×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	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
335	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
336	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
337	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
338	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
339	C₃×#95	C₂³	1	1	yes	characteristic
340	C₃×#95	C₂³	1	1	yes	characteristic
341	C₃×#95	C₂³	1	1	yes	characteristic
342	C₃×#95	C₂³	1	1	yes	characteristic
343	C₃×#95	C₂³	1	1	yes	characteristic
344	C₃×#95	C₂³	1	1	yes	characteristic
345	C₃×#95	C₂³	1	1	yes	characteristic
346	C₃×#95	C₂³	1	1	yes	characteristic
347	C₃×#95	C₂³	1	1	yes	characteristic
348	C₃×#95	C₂³	1	1	yes	characteristic
349	C₃×#95	C₂³	1	1	yes	characteristic
350	C₃×#95	C₂³	1	1	yes	characteristic
351	C₃×#95	C₂³	1	1	yes	characteristic
352	C₃×#95	C₂³	1	1	yes	characteristic
353	C₃×#95	C₂³	1	1	yes	characteristic
354	C₃×#95	C₂³	1	1	yes	characteristic
355	C₃×#95	C₂³	1	1	yes	characteristic
356	C₃×#95	C₂³	1	1	yes	characteristic
357	C₃×#95	C₂³	1	1	yes	characteristic
358	C₃×#95	C₂³	1	1	yes	characteristic
359	C₃×#95	C₂³	1	1	yes	characteristic
360	C₃×#95	C₂³	1	1	yes	characteristic
361	C₃×#95	C₂³	1	1	yes	characteristic
362	C₃×#95	C₂³	1	1	yes	characteristic
363	C₃×#95	C₂³	1	1	yes	characteristic
364	C₃×#95	C₂³	1	1	yes	characteristic
365	C₃×#95	C₂³	1	1	yes	characteristic
366	C₃×#95	C₂³	1	1	yes	characteristic
367	C₃×#95	C₂³	1	1	yes	characteristic
368	C₃×#95	C₂³	1	1	yes	characteristic
369	C₃×#95	C₂³	1	1	yes	characteristic
370	C₃×#95	C₂³	1	1	yes	characteristic
371	C₃×#95	C₂³	1	1	yes	characteristic
372	C₃×#95	C₂³	1	1	yes	characteristic
373	C₃×#95	C₂³	1	1	yes	characteristic
374	C₃×#95	C₂³	1	1	yes	characteristic
375	C₃×#95	C₂³	1	1	yes	characteristic
376	C₃×#95	C₂³	1	1	yes	characteristic
377	C₃×#95	C₂³	1	1	yes	characteristic
378	C₃×#95	C₂³	1	1	yes	characteristic
379	C₃×#95	C₂³	1	1	yes	characteristic
380	C₃×#95	C₂³	1	1	yes	characteristic
381	C₃×#95	C₂³	1	1	yes	characteristic
382	C₃×#95	C₂³	1	1	yes	characteristic
383	C₃×#95	C₂³	1	1	yes	characteristic
384	C₃×#95	C₂³	1	1	yes	characteristic
385	C₃×#95	C₂³	1	1	yes	characteristic
386	C₃×#95	C₂³	1	1	yes	characteristic
387	C₃×#95	C₂³	1	1	yes	characteristic
388	C₃×#95	C₂³	1	1	yes	characteristic
389	C₂×#126	C₂²×C₃	1	1	yes	characteristic
390	C₂×#126	C₂²×C₃	1	1	yes	characteristic
391	C₂×#124	C₂²×C₃	1	1	yes	characteristic
392	C₂×#123	C₂²×C₃	1	1	yes	characteristic
393	C₂×#123	C₂²×C₃	1	1	yes	characteristic
394	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
395	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
396	C₂×#120	C₂²×C₃	1	1	yes	characteristic
397	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
398	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
399	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
400	C₂×#117	C₂²×C₃	1	1	yes	characteristic
401	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
402	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
403	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
404	#401	C₂²×C₃	1	1	yes	characteristic, complemented
405	#401	C₂²×C₃	1	1	yes	characteristic, complemented
406	#400	C₂²×C₃	1	1	yes	characteristic, complemented
407	#400	C₂²×C₃	1	1	yes	characteristic, complemented
408	#400	C₂²×C₃	1	1	yes	characteristic, complemented
409	#400	C₂²×C₃	1	1	yes	characteristic, complemented
410	#400	C₂²×C₃	1	1	yes	characteristic, complemented
411	#400	C₂²×C₃	1	1	yes	characteristic, complemented
412	#399	C₂²×C₃	1	1	yes	characteristic
413	#399	C₂²×C₃	1	1	yes	characteristic, complemented
414	#398	C₂²×C₃	1	1	yes	characteristic, complemented
415	#398	C₂²×C₃	1	1	yes	characteristic, complemented
416	#397	C₂²×C₃	1	1	yes	characteristic
417	#397	C₂²×C₃	1	1	yes	characteristic
418	#397	C₂²×C₃	1	1	yes	characteristic
419	#397	C₂²×C₃	1	1	yes	characteristic
420	#397	C₂²×C₃	1	1	yes	characteristic
421	#397	C₂²×C₃	1	1	yes	characteristic
422	#397	C₂²×C₃	1	1	yes	characteristic
423	#397	C₂²×C₃	1	1	yes	characteristic
424	#397	C₂²×C₃	1	1	yes	characteristic
425	#397	C₂²×C₃	1	1	yes	characteristic
426	#397	C₂²×C₃	1	1	yes	characteristic, complemented
427	#397	C₂²×C₃	1	1	yes	characteristic, complemented
428	#396	C₂²×C₃	1	1	yes	characteristic
429	#396	C₂²×C₃	1	1	yes	characteristic
430	#396	C₂²×C₃	1	1	yes	characteristic
431	#396	C₂²×C₃	1	1	yes	characteristic
432	#395	C₂²×C₃	1	1	yes	characteristic, complemented
433	#395	C₂²×C₃	1	1	yes	characteristic, complemented
434	#394	C₂²×C₃	1	1	yes	characteristic
435	#394	C₂²×C₃	1	1	yes	characteristic
436	#394	C₂²×C₃	1	1	yes	characteristic
437	#394	C₂²×C₃	1	1	yes	characteristic
438	#394	C₂²×C₃	1	1	yes	characteristic
439	#394	C₂²×C₃	1	1	yes	characteristic
440	#393	C₂²×C₃	1	1	yes	characteristic
441	#393	C₂²×C₃	1	1	yes	characteristic
442	#393	C₂²×C₃	1	1	yes	characteristic
443	#393	C₂²×C₃	1	1	yes	characteristic, complemented
444	#391	C₂²×C₃	1	1	yes	characteristic, complemented
445	#391	C₂²×C₃	1	1	yes	characteristic, complemented
446	#391	C₂²×C₃	1	1	yes	characteristic, complemented
447	#390	C₂²×C₃	1	1	yes	characteristic
448	#390	C₂²×C₃	1	1	yes	characteristic
449	#390	C₂²×C₃	1	1	yes	characteristic
450	#389	C₂²×C₃	1	1	yes	characteristic, complemented
451	#389	C₂²×C₃	1	1	yes	characteristic, complemented
452	#389	C₂²×C₃	1	1	yes	characteristic, complemented
453	#389	C₂²×C₃	1	1	yes	characteristic, complemented
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
469	#388	C₂²×C₃	1	1	yes	characteristic
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	#388	C₂²×C₃	1	1	yes	characteristic, complemented
475	#388	C₂²×C₃	1	1	yes	characteristic, complemented
476	#388	C₂²×C₃	1	1	yes	characteristic, complemented
477	#388	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	#387	C₂²×C₃	1	1	yes	characteristic, complemented
491	#387	C₂²×C₃	1	1	yes	characteristic, complemented
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	#386	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, complemented
504	#382	C₂²×C₃	1	1	yes	characteristic, complemented
505	#382	C₂²×C₃	1	1	yes	characteristic, complemented
506	#381	C₂²×C₃	1	1	yes	characteristic
507	#381	C₂²×C₃	1	1	yes	characteristic
508	#380	C₂²×C₃	1	1	yes	characteristic
509	#380	C₂²×C₃	1	1	yes	characteristic
510	#380	C₂²×C₃	1	1	yes	characteristic
511	#379	C₂²×C₃	1	1	yes	characteristic
512	#379	C₂²×C₃	1	1	yes	characteristic
513	#379	C₂²×C₃	1	1	yes	characteristic
514	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
515	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
516	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
517	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
518	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
519	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
520	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
521	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
522	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
523	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
524	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
525	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
526	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
527	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
528	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
529	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
530	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, complemented
540	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
541	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
542	#376	C₂²×C₃	1	1	yes	characteristic, complemented
543	#376	C₂²×C₃	1	1	yes	characteristic, complemented
544	C₂⁴×C₃	—	2	2	no	—
545	C₂⁴×C₃	—	2	2	no	—
546	C₂⁴×C₃	—	2	2	no	—
547	C₂⁴×C₃	—	4	1	no	—
548	C₂⁴×C₃	—	4	1	no	—
549	C₂⁴×C₃	—	4	1	no	—
550	C₂⁴×C₃	—	4	1	no	—
551	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
552	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
553	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
554	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
555	C₂×C₃×Q₈	—	2	2	no	—
556	C₂×C₃×Q₈	—	2	2	no	—
557	C₂×C₃×Q₈	—	2	2	no	—
558	C₂×C₃×Q₈	—	4	1	no	—
559	C₂×C₃×Q₈	—	4	1	no	—
560	C₂×C₃×Q₈	—	4	1	no	—
561	C₂×C₃×D₄	—	2	2	no	—
562	C₂×C₃×D₄	—	2	2	no	—
563	C₂×C₃×D₄	—	2	2	no	—
564	C₂×C₃×D₄	—	2	2	no	—
565	C₂×C₃×D₄	—	4	1	no	—
566	C₂×C₃×D₄	—	4	1	no	—
567	C₂×C₃×D₄	—	4	1	no	—
568	C₂×C₃×D₄	—	4	1	no	—
569	C₂×C₃×D₄	—	4	1	no	—
570	C₂²×C₃×C₄	—	2	2	no	—
571	C₂²×C₃×C₄	—	2	2	no	—
572	C₂²×C₃×C₄	—	2	2	no	—
573	C₂²×C₃×C₄	—	2	2	no	—
574	C₂²×C₃×C₄	—	2	2	no	—
575	C₂²×C₃×C₄	—	2	2	no	—
576	C₂²×C₃×C₄	—	4	1	no	—
577	C₂²×C₃×C₄	—	4	1	no	—
578	C₂²×C₃×C₄	—	4	1	no	—
579	C₂²×C₃×C₄	—	4	1	no	—
580	C₂²×C₃×C₄	—	4	1	no	—
581	C₂²×C₃×C₄	—	4	1	no	—
582	C₂²×C₃×C₄	—	4	1	no	—
583	C₂²×C₃×C₄	—	4	1	no	—
584	C₂²×C₃×C₄	—	4	1	no	—
585	C₂²×C₃×C₄	—	4	1	no	—
586	C₂²×C₃×C₄	—	4	1	no	—
587	C₂²×C₃×C₄	—	4	1	no	—
588	C₂²×C₃×C₄	—	4	1	no	—
589	C₂²×C₃×C₄	—	4	1	no	—
590	C₂²×C₃×C₄	#41	1	4	yes	—
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	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
602	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
603	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
604	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
605	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
606	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
607	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
608	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
609	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
610	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
611	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
612	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
613	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
614	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
615	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
616	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
617	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
618	C₃×C₄⋊C₄	—	2	2	no	—
619	C₃×C₄⋊C₄	—	2	2	no	—
620	C₃×C₄⋊C₄	—	2	2	no	—
621	C₃×C₄⋊C₄	—	2	2	no	—
622	C₃×C₄⋊C₄	—	2	2	no	—
623	C₃×C₄⋊C₄	—	2	2	no	—
624	C₃×C₄⋊C₄	—	2	2	no	—
625	C₃×C₄⋊C₄	—	2	2	no	—
626	C₃×C₄⋊C₄	—	2	2	no	—
627	C₃×C₄⋊C₄	—	2	2	no	—
628	C₃×C₄⋊C₄	—	2	2	no	—
629	C₃×C₄⋊C₄	—	2	2	no	—
630	C₃×C₄⋊C₄	—	2	2	no	—
631	C₃×C₄⋊C₄	—	2	2	no	—
632	C₃×C₄⋊C₄	—	2	2	no	—
633	C₃×C₄⋊C₄	—	2	2	no	—
634	C₃×C₄⋊C₄	—	4	1	no	—
635	C₃×C₄⋊C₄	—	4	1	no	—
636	C₃×C₄⋊C₄	—	4	1	no	—
637	C₃×C₄⋊C₄	—	4	1	no	—
638	C₃×C₄⋊C₄	—	4	1	no	—
639	C₃×C₄⋊C₄	—	4	1	no	—
640	C₃×C₄⋊C₄	—	4	1	no	—
641	C₃×C₄⋊C₄	—	4	1	no	—
642	C₃×C₄⋊C₄	—	4	1	no	—
643	C₃×C₄⋊C₄	—	4	1	no	—
644	C₃×C₄⋊C₄	—	4	1	no	—
645	C₃×C₄⋊C₄	—	4	1	no	—
646	C₃×C₄⋊C₄	—	4	1	no	—
647	C₃×C₂²⋊C₄	—	2	2	no	—
648	C₃×C₂²⋊C₄	—	2	2	no	—
649	C₃×C₂²⋊C₄	—	2	2	no	—
650	C₃×C₂²⋊C₄	—	2	2	no	—
651	C₃×C₂²⋊C₄	—	2	2	no	—
652	C₃×C₂²⋊C₄	—	2	2	no	—
653	C₃×C₂²⋊C₄	—	2	2	no	—
654	C₃×C₂²⋊C₄	—	2	2	no	—
655	C₃×C₂²⋊C₄	—	2	2	no	—
656	C₃×C₂²⋊C₄	—	2	2	no	—
657	C₃×C₂²⋊C₄	—	2	2	no	—
658	C₃×C₂²⋊C₄	—	2	2	no	—
659	C₃×C₂²⋊C₄	—	2	2	no	—
660	C₃×C₂²⋊C₄	—	2	2	no	—
661	C₃×C₂²⋊C₄	—	2	2	no	—
662	C₃×C₂²⋊C₄	—	2	2	no	—
663	C₃×C₂²⋊C₄	—	2	2	no	—
664	C₃×C₂²⋊C₄	—	2	2	no	—
665	C₃×C₂²⋊C₄	—	2	2	no	—
666	C₃×C₂²⋊C₄	—	2	2	no	—
667	C₃×C₂²⋊C₄	—	2	2	no	—
668	C₃×C₂²⋊C₄	—	2	2	no	—
669	C₃×C₂²⋊C₄	—	2	2	no	—
670	C₃×C₂²⋊C₄	—	2	2	no	—
671	C₃×C₂²⋊C₄	—	2	2	no	—
672	C₃×C₂²⋊C₄	—	2	2	no	—
673	C₃×C₂²⋊C₄	—	4	1	no	—
674	C₃×C₂²⋊C₄	—	4	1	no	—
675	C₃×C₂²⋊C₄	—	4	1	no	—
676	C₃×C₂²⋊C₄	—	4	1	no	—
677	C₃×C₂²⋊C₄	—	4	1	no	—
678	C₃×C₂²⋊C₄	—	4	1	no	—
679	C₃×C₂²⋊C₄	—	4	1	no	—
680	C₃×C₂²⋊C₄	—	4	1	no	—
681	C₃×C₂²⋊C₄	—	4	1	no	—
682	C₃×C₂²⋊C₄	—	4	1	no	—
683	C₃×C₂²⋊C₄	—	4	1	no	—
684	C₃×C₂²⋊C₄	—	4	1	no	—
685	C₃×C₂²⋊C₄	—	4	1	no	—
686	C₃×C₂²⋊C₄	—	4	1	no	—
687	C₃×C₂²⋊C₄	—	4	1	no	—
688	C₃×C₂²⋊C₄	—	4	1	no	—
689	C₃×C₂²⋊C₄	#41	1	4	yes	—
690	C₃×C₂²⋊C₄	#41	1	4	yes	—
691	C₃×C₄²	—	2	2	no	—
692	C₃×C₄²	—	2	2	no	—
693	C₃×C₄²	—	2	2	no	—
694	C₃×C₄²	—	2	2	no	—
695	C₃×C₄²	—	2	2	no	—
696	C₃×C₄²	—	4	1	no	—
697	C₃×C₄²	—	4	1	no	—
698	C₃×C₄²	—	4	1	no	—
699	C₃×C₄²	—	4	1	no	—
700	C₃×C₄²	—	4	1	no	—
701	C₃×C₄²	—	4	1	no	—
702	C₃×C₄²	—	4	1	no	—
703	C₃×C₄²	—	4	1	no	—
704	C₃×C₄²	—	4	1	no	—
705	C₃×C₄²	—	4	1	no	—
706	C₃×C₄²	—	4	1	no	—
707	C₃×C₄²	—	4	1	no	—
708	C₃×C₄²	—	4	1	no	—
709	C₃×C₄²	—	4	1	no	—
710	C₂⁵	C₂³×C₃	1	1	yes	characteristic
711	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
712	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
713	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
714	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
715	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
716	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
717	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
718	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
719	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
720	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
721	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
722	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
723	#126	—	2	4	no	—
724	#126	—	2	4	no	—
725	#124	—	2	4	no	—
726	#123	—	2	4	no	—
727	#123	—	2	4	no	—
728	C₂²⋊Q₈	—	2	4	no	—
729	C₂²⋊Q₈	—	4	2	no	—
730	#120	—	4	2	no	—
731	C₄×Q₈	—	4	2	no	—
732	C₄×Q₈	—	4	2	no	—
733	C₄×D₄	—	4	2	no	—
734	#117	—	4	2	no	—
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×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
756	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
757	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
758	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
760	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
761	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
762	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
763	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
764	C₂×C₂²⋊C₄	—	2	4	no	—
765	C₂×C₂²⋊C₄	—	2	4	no	—
766	C₂×C₂²⋊C₄	—	2	4	no	—
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×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
778	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
779	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
780	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
781	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
782	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
783	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
784	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
785	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
786	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
787	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
788	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
789	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
790	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
791	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
792	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
793	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
794	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
795	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
796	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
797	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
798	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
799	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
800	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
801	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
802	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
803	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
804	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
805	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
806	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
807	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
808	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
809	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
810	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
811	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
812	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
813	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
814	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
815	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
816	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
817	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
818	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
819	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
820	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
821	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
822	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
823	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
824	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
825	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
826	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
827	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
828	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
829	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
830	#95	C₂³×C₃	1	1	yes	characteristic
831	#95	C₂³×C₃	1	1	yes	characteristic
832	#95	C₂³×C₃	1	1	yes	characteristic
833	#95	C₂³×C₃	1	1	yes	characteristic
834	#95	C₂³×C₃	1	1	yes	characteristic
835	#95	C₂³×C₃	1	1	yes	characteristic
836	#95	C₂³×C₃	1	1	yes	characteristic
837	#95	C₂³×C₃	1	1	yes	characteristic
838	#95	C₂³×C₃	1	1	yes	characteristic
839	#95	C₂³×C₃	1	1	yes	characteristic
840	#95	C₂³×C₃	1	1	yes	characteristic
841	#95	C₂³×C₃	1	1	yes	characteristic
842	#95	C₂³×C₃	1	1	yes	characteristic
843	#95	C₂³×C₃	1	1	yes	characteristic
844	#95	C₂³×C₃	1	1	yes	characteristic
845	#95	C₂³×C₃	1	1	yes	characteristic
846	#95	C₂³×C₃	1	1	yes	characteristic
847	#95	C₂³×C₃	1	1	yes	characteristic
848	#95	C₂³×C₃	1	1	yes	characteristic
849	#95	C₂³×C₃	1	1	yes	characteristic
850	#95	C₂³×C₃	1	1	yes	characteristic
851	#95	C₂³×C₃	1	1	yes	characteristic
852	#95	C₂³×C₃	1	1	yes	characteristic
853	#95	C₂³×C₃	1	1	yes	characteristic
854	#95	C₂³×C₃	1	1	yes	characteristic
855	#95	C₂³×C₃	1	1	yes	characteristic
856	#95	C₂³×C₃	1	1	yes	characteristic
857	#95	C₂³×C₃	1	1	yes	characteristic
858	#95	C₂³×C₃	1	1	yes	characteristic
859	#95	C₂³×C₃	1	1	yes	characteristic
860	#95	C₂³×C₃	1	1	yes	characteristic
861	#95	C₂³×C₃	1	1	yes	characteristic
862	#95	C₂³×C₃	1	1	yes	characteristic
863	#95	C₂³×C₃	1	1	yes	characteristic
864	#95	C₂³×C₃	1	1	yes	characteristic
865	#95	C₂³×C₃	1	1	yes	characteristic
866	#95	C₂³×C₃	1	1	yes	characteristic
867	#95	C₂³×C₃	1	1	yes	characteristic
868	#95	C₂³×C₃	1	1	yes	characteristic
869	#95	C₂³×C₃	1	1	yes	characteristic
870	#95	C₂³×C₃	1	1	yes	characteristic
871	#95	C₂³×C₃	1	1	yes	characteristic
872	#95	C₂³×C₃	1	1	yes	characteristic
873	#95	C₂³×C₃	1	1	yes	characteristic
874	#95	C₂³×C₃	1	1	yes	characteristic
875	#95	C₂³×C₃	1	1	yes	characteristic
876	#95	C₂³×C₃	1	1	yes	characteristic
877	#95	C₂³×C₃	1	1	yes	characteristic
878	#95	C₂³×C₃	1	1	yes	characteristic
879	#95	C₂³×C₃	1	1	yes	characteristic
880	C₂³×C₃	—	2	8	no	—
881	C₂³×C₃	—	2	1	no	—
882	C₂³×C₃	—	2	1	no	—
883	C₂³×C₃	—	2	1	no	—
884	C₂³×C₃	—	2	1	no	—
885	C₂³×C₃	—	2	1	no	—
886	C₂³×C₃	—	2	1	no	—
887	C₂³×C₃	—	2	1	no	—
888	C₂³×C₃	—	2	1	no	—
889	C₂³×C₃	—	2	1	no	—
890	C₂³×C₃	—	2	1	no	—
891	C₂³×C₃	—	2	1	no	—
892	C₂³×C₃	—	2	1	no	—
893	C₂³×C₃	—	2	1	no	—
894	C₂³×C₃	—	2	1	no	—
895	C₂³×C₃	—	2	1	no	—
896	C₂³×C₃	—	2	1	no	—
897	C₂³×C₃	—	2	1	no	—
898	C₂³×C₃	—	2	1	no	—
899	C₂³×C₃	—	2	1	no	—
900	C₂³×C₃	—	2	1	no	—
901	C₂³×C₃	—	2	1	no	—
902	C₂³×C₃	—	2	1	no	—
903	C₂³×C₃	—	2	1	no	—
904	C₂³×C₃	—	2	1	no	—
905	C₂³×C₃	—	2	1	no	—
906	C₂³×C₃	—	8	2	no	—
907	C₂³×C₃	—	8	2	no	—
908	C₂³×C₃	—	8	2	no	—
909	C₂³×C₃	—	8	2	no	—
910	C₂³×C₃	—	8	2	no	—
911	C₂³×C₃	—	8	2	no	—
912	C₂³×C₃	C₂×#41	1	2	yes	—
913	C₂³×C₃	C₂×#41	1	2	yes	—
914	C₂³×C₃	C₂×#41	1	2	yes	—
915	C₂³×C₃	C₂⁵	1	1	yes	characteristic
916	C₃×Q₈	—	4	4	no	—
917	C₃×Q₈	—	4	4	no	—
918	C₃×D₄	—	4	4	no	—
919	C₃×D₄	—	8	2	no	—
920	C₃×D₄	—	8	2	no	—
921	C₂×C₃×C₄	—	2	1	no	—
922	C₂×C₃×C₄	—	2	1	no	—
923	C₂×C₃×C₄	—	2	1	no	—
924	C₂×C₃×C₄	—	2	1	no	—
925	C₂×C₃×C₄	—	2	1	no	—
926	C₂×C₃×C₄	—	2	1	no	—
927	C₂×C₃×C₄	—	2	1	no	—
928	C₂×C₃×C₄	—	2	1	no	—
929	C₂×C₃×C₄	—	2	1	no	—
930	C₂×C₃×C₄	—	2	1	no	—
931	C₂×C₃×C₄	—	2	1	no	—
932	C₂×C₃×C₄	—	2	1	no	—
933	C₂×C₃×C₄	—	2	1	no	—
934	C₂×C₃×C₄	—	2	1	no	—
935	C₂×C₃×C₄	—	2	1	no	—
936	C₂×C₃×C₄	—	2	1	no	—
937	C₂×C₃×C₄	—	2	1	no	—
938	C₂×C₃×C₄	—	2	1	no	—
939	C₂×C₃×C₄	—	2	1	no	—
940	C₂×C₃×C₄	—	2	1	no	—
941	C₂×C₃×C₄	—	2	1	no	—
942	C₂×C₃×C₄	—	2	1	no	—
943	C₂×C₃×C₄	—	2	1	no	—
944	C₂×C₃×C₄	—	2	1	no	—
945	C₂×C₃×C₄	—	2	1	no	—
946	C₂×C₃×C₄	—	2	1	no	—
947	C₂×C₃×C₄	—	2	1	no	—
948	C₂×C₃×C₄	—	2	1	no	—
949	C₂×C₃×C₄	—	2	1	no	—
950	C₂×C₃×C₄	—	2	1	no	—
951	C₂×C₃×C₄	—	2	1	no	—
952	C₂×C₃×C₄	—	2	1	no	—
953	C₂×C₃×C₄	—	2	1	no	—
954	C₂×C₃×C₄	—	2	1	no	—
955	C₂×C₃×C₄	—	2	1	no	—
956	C₂×C₃×C₄	—	2	1	no	—
957	C₂×C₃×C₄	—	2	1	no	—
958	C₂×C₃×C₄	—	2	1	no	—
959	C₂×C₃×C₄	—	2	1	no	—
960	C₂×C₃×C₄	—	2	1	no	—
961	C₂×C₃×C₄	—	2	1	no	—
962	C₂×C₃×C₄	—	2	1	no	—
963	C₂×C₃×C₄	—	2	1	no	—
964	C₂×C₃×C₄	—	2	1	no	—
965	C₂×C₃×C₄	—	2	1	no	—
966	C₂×C₃×C₄	—	2	1	no	—
967	C₂×C₃×C₄	—	2	1	no	—
968	C₂×C₃×C₄	—	2	1	no	—
969	C₂×C₃×C₄	—	2	1	no	—
970	C₂×C₃×C₄	—	2	1	no	—
971	C₂×C₃×C₄	—	2	1	no	—
972	C₂×C₃×C₄	—	2	1	no	—
973	C₂×C₃×C₄	—	2	1	no	—
974	C₂×C₃×C₄	—	2	1	no	—
975	C₂×C₃×C₄	—	2	1	no	—
976	C₂×C₃×C₄	—	2	1	no	—
977	C₂×C₃×C₄	—	2	1	no	—
978	C₂×C₃×C₄	—	2	1	no	—
979	C₂×C₃×C₄	—	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	—	4	4	no	—
996	C₂×C₃×C₄	—	8	2	no	—
997	C₂×C₃×C₄	—	8	2	no	—
998	C₂×C₃×C₄	—	8	2	no	—
999	C₂×C₃×C₄	—	8	2	no	—
1000	C₂×C₃×C₄	—	8	2	no	—
1001	C₂×C₃×C₄	—	8	2	no	—
1002	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1003	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1004	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1005	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1006	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1007	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1008	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1009	C₂⁴	—	2	2	no	—
1010	C₂⁴	—	2	2	no	—
1011	C₂⁴	—	2	2	no	—
1012	C₂⁴	—	4	1	no	—
1013	C₂⁴	—	4	1	no	—
1014	C₂⁴	—	4	1	no	—
1015	C₂⁴	—	4	1	no	—
1016	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1017	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1018	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1019	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1020	C₂×Q₈	—	2	2	no	—
1021	C₂×Q₈	—	2	2	no	—
1022	C₂×Q₈	—	2	2	no	—
1023	C₂×Q₈	—	4	1	no	—
1024	C₂×Q₈	—	4	1	no	—
1025	C₂×Q₈	—	4	1	no	—
1026	C₂×D₄	—	2	2	no	—
1027	C₂×D₄	—	2	2	no	—
1028	C₂×D₄	—	2	2	no	—
1029	C₂×D₄	—	2	2	no	—
1030	C₂×D₄	—	4	1	no	—
1031	C₂×D₄	—	4	1	no	—
1032	C₂×D₄	—	4	1	no	—
1033	C₂×D₄	—	4	1	no	—
1034	C₂×D₄	—	4	1	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	2	2	no	—
1038	C₂²×C₄	—	2	2	no	—
1039	C₂²×C₄	—	2	2	no	—
1040	C₂²×C₄	—	2	2	no	—
1041	C₂²×C₄	—	4	1	no	—
1042	C₂²×C₄	—	4	1	no	—
1043	C₂²×C₄	—	4	1	no	—
1044	C₂²×C₄	—	4	1	no	—
1045	C₂²×C₄	—	4	1	no	—
1046	C₂²×C₄	—	4	1	no	—
1047	C₂²×C₄	—	4	1	no	—
1048	C₂²×C₄	—	4	1	no	—
1049	C₂²×C₄	—	4	1	no	—
1050	C₂²×C₄	—	4	1	no	—
1051	C₂²×C₄	—	4	1	no	—
1052	C₂²×C₄	—	4	1	no	—
1053	C₂²×C₄	—	4	1	no	—
1054	C₂²×C₄	—	4	1	no	—
1055	C₂²×C₄	C₃×#41	1	4	yes	—
1056	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1063	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1064	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1065	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1066	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1067	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1068	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1069	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1070	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1071	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1072	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1073	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1074	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1075	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1076	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1077	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1078	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1079	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1080	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1081	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1082	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	2	2	no	—
1086	C₄⋊C₄	—	2	2	no	—
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	2	2	no	—
1089	C₄⋊C₄	—	2	2	no	—
1090	C₄⋊C₄	—	2	2	no	—
1091	C₄⋊C₄	—	2	2	no	—
1092	C₄⋊C₄	—	2	2	no	—
1093	C₄⋊C₄	—	2	2	no	—
1094	C₄⋊C₄	—	2	2	no	—
1095	C₄⋊C₄	—	2	2	no	—
1096	C₄⋊C₄	—	2	2	no	—
1097	C₄⋊C₄	—	2	2	no	—
1098	C₄⋊C₄	—	2	2	no	—
1099	C₄⋊C₄	—	4	1	no	—
1100	C₄⋊C₄	—	4	1	no	—
1101	C₄⋊C₄	—	4	1	no	—
1102	C₄⋊C₄	—	4	1	no	—
1103	C₄⋊C₄	—	4	1	no	—
1104	C₄⋊C₄	—	4	1	no	—
1105	C₄⋊C₄	—	4	1	no	—
1106	C₄⋊C₄	—	4	1	no	—
1107	C₄⋊C₄	—	4	1	no	—
1108	C₄⋊C₄	—	4	1	no	—
1109	C₄⋊C₄	—	4	1	no	—
1110	C₄⋊C₄	—	4	1	no	—
1111	C₄⋊C₄	—	4	1	no	—
1112	C₂²⋊C₄	—	2	2	no	—
1113	C₂²⋊C₄	—	2	2	no	—
1114	C₂²⋊C₄	—	2	2	no	—
1115	C₂²⋊C₄	—	2	2	no	—
1116	C₂²⋊C₄	—	2	2	no	—
1117	C₂²⋊C₄	—	2	2	no	—
1118	C₂²⋊C₄	—	2	2	no	—
1119	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	2	2	no	—
1121	C₂²⋊C₄	—	2	2	no	—
1122	C₂²⋊C₄	—	2	2	no	—
1123	C₂²⋊C₄	—	2	2	no	—
1124	C₂²⋊C₄	—	2	2	no	—
1125	C₂²⋊C₄	—	2	2	no	—
1126	C₂²⋊C₄	—	2	2	no	—
1127	C₂²⋊C₄	—	2	2	no	—
1128	C₂²⋊C₄	—	2	2	no	—
1129	C₂²⋊C₄	—	2	2	no	—
1130	C₂²⋊C₄	—	2	2	no	—
1131	C₂²⋊C₄	—	2	2	no	—
1132	C₂²⋊C₄	—	2	2	no	—
1133	C₂²⋊C₄	—	2	2	no	—
1134	C₂²⋊C₄	—	2	2	no	—
1135	C₂²⋊C₄	—	2	2	no	—
1136	C₂²⋊C₄	—	2	2	no	—
1137	C₂²⋊C₄	—	2	2	no	—
1138	C₂²⋊C₄	—	4	1	no	—
1139	C₂²⋊C₄	—	4	1	no	—
1140	C₂²⋊C₄	—	4	1	no	—
1141	C₂²⋊C₄	—	4	1	no	—
1142	C₂²⋊C₄	—	4	1	no	—
1143	C₂²⋊C₄	—	4	1	no	—
1144	C₂²⋊C₄	—	4	1	no	—
1145	C₂²⋊C₄	—	4	1	no	—
1146	C₂²⋊C₄	—	4	1	no	—
1147	C₂²⋊C₄	—	4	1	no	—
1148	C₂²⋊C₄	—	4	1	no	—
1149	C₂²⋊C₄	—	4	1	no	—
1150	C₂²⋊C₄	—	4	1	no	—
1151	C₂²⋊C₄	—	4	1	no	—
1152	C₂²⋊C₄	—	4	1	no	—
1153	C₂²⋊C₄	—	4	1	no	—
1154	C₂²⋊C₄	C₃×#41	1	4	yes	—
1155	C₂²⋊C₄	C₃×#41	1	4	yes	—
1156	C₄²	—	2	2	no	—
1157	C₄²	—	2	2	no	—
1158	C₄²	—	2	2	no	—
1159	C₄²	—	2	2	no	—
1160	C₄²	—	2	2	no	—
1161	C₄²	—	4	1	no	—
1162	C₄²	—	4	1	no	—
1163	C₄²	—	4	1	no	—
1164	C₄²	—	4	1	no	—
1165	C₄²	—	4	1	no	—
1166	C₄²	—	4	1	no	—
1167	C₄²	—	4	1	no	—
1168	C₄²	—	4	1	no	—
1169	C₄²	—	4	1	no	—
1170	C₄²	—	4	1	no	—
1171	C₄²	—	4	1	no	—
1172	C₄²	—	4	1	no	—
1173	C₄²	—	4	1	no	—
1174	C₄²	—	4	1	no	—
1175	C₂²×C₃	—	2	2	no	—
1176	C₂²×C₃	—	2	2	no	—
1177	C₂²×C₃	—	2	2	no	—
1178	C₂²×C₃	—	2	2	no	—
1179	C₂²×C₃	—	2	2	no	—
1180	C₂²×C₃	—	2	2	no	—
1181	C₂²×C₃	—	2	2	no	—
1182	C₂²×C₃	—	2	2	no	—
1183	C₂²×C₃	—	2	2	no	—
1184	C₂²×C₃	—	4	1	no	—
1185	C₂²×C₃	—	4	1	no	—
1186	C₂²×C₃	—	4	1	no	—
1187	C₂²×C₃	—	4	1	no	—
1188	C₂²×C₃	—	4	1	no	—
1189	C₂²×C₃	—	4	1	no	—
1190	C₂²×C₃	—	4	1	no	—
1191	C₂²×C₃	—	4	1	no	—
1192	C₂²×C₃	—	4	1	no	—
1193	C₂²×C₃	—	4	1	no	—
1194	C₂²×C₃	—	4	1	no	—
1195	C₂²×C₃	—	4	1	no	—
1196	C₂²×C₃	—	4	1	no	—
1197	C₂²×C₃	—	4	1	no	—
1198	C₂²×C₃	—	4	1	no	—
1199	C₂²×C₃	—	4	1	no	—
1200	C₂²×C₃	—	4	1	no	—
1201	C₂²×C₃	—	4	1	no	—
1202	C₂²×C₃	—	4	1	no	—
1203	C₂²×C₃	—	8	8	no	—
1204	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1205	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1206	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1207	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1208	C₂²×C₃	#585	1	1	yes	characteristic
1209	C₂²×C₃	#585	1	1	yes	characteristic
1210	C₂²×C₃	#585	1	1	yes	characteristic
1211	C₃×C₄	—	2	2	no	—
1212	C₃×C₄	—	2	2	no	—
1213	C₃×C₄	—	2	2	no	—
1214	C₃×C₄	—	2	2	no	—
1215	C₃×C₄	—	2	2	no	—
1216	C₃×C₄	—	2	2	no	—
1217	C₃×C₄	—	2	2	no	—
1218	C₃×C₄	—	4	1	no	—
1219	C₃×C₄	—	4	1	no	—
1220	C₃×C₄	—	4	1	no	—
1221	C₃×C₄	—	4	1	no	—
1222	C₃×C₄	—	4	1	no	—
1223	C₃×C₄	—	4	1	no	—
1224	C₃×C₄	—	4	1	no	—
1225	C₃×C₄	—	4	1	no	—
1226	C₃×C₄	—	4	1	no	—
1227	C₃×C₄	—	4	1	no	—
1228	C₃×C₄	—	4	1	no	—
1229	C₃×C₄	—	4	1	no	—
1230	C₃×C₄	—	4	1	no	—
1231	C₃×C₄	—	4	1	no	—
1232	C₃×C₄	—	4	1	no	—
1233	C₃×C₄	—	4	1	no	—
1234	C₃×C₄	—	4	1	no	—
1235	C₃×C₄	—	4	1	no	—
1236	C₃×C₄	—	4	1	no	—
1237	C₃×C₄	—	4	1	no	—
1238	C₂³	—	2	8	no	—
1239	C₂³	—	2	1	no	—
1240	C₂³	—	2	1	no	—
1241	C₂³	—	2	1	no	—
1242	C₂³	—	2	1	no	—
1243	C₂³	—	2	1	no	—
1244	C₂³	—	2	1	no	—
1245	C₂³	—	2	1	no	—
1246	C₂³	—	2	1	no	—
1247	C₂³	—	2	1	no	—
1248	C₂³	—	2	1	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	2	1	no	—
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	8	2	no	—
1265	C₂³	—	8	2	no	—
1266	C₂³	—	8	2	no	—
1267	C₂³	—	8	2	no	—
1268	C₂³	—	8	2	no	—
1269	C₂³	—	8	2	no	—
1270	C₂³	C₂×C₃×#41	1	2	yes	—
1271	C₂³	C₂×C₃×#41	1	2	yes	—
1272	C₂³	C₂×C₃×#41	1	2	yes	—
1273	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1274	Q₈	—	4	4	no	—
1275	Q₈	—	4	4	no	—
1276	D₄	—	4	4	no	—
1277	D₄	—	8	2	no	—
1278	D₄	—	8	2	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	4	4	no	—
1354	C₂×C₄	—	8	2	no	—
1355	C₂×C₄	—	8	2	no	—
1356	C₂×C₄	—	8	2	no	—
1357	C₂×C₄	—	8	2	no	—
1358	C₂×C₄	—	8	2	no	—
1359	C₂×C₄	—	8	2	no	—
1360	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1361	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1362	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1363	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1364	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1365	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1366	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1367	C₂×C₃	—	4	2	no	—
1368	C₂×C₃	—	4	2	no	—
1369	C₂×C₃	—	4	2	no	—
1370	C₂×C₃	—	8	1	no	—
1371	C₂×C₃	#3444	1	1	yes	characteristic
1372	C₂×C₃	#3505	1	1	yes	characteristic
1373	C₂×C₃	#3510	1	1	yes	characteristic
1374	C₂×C₃	#3513	1	1	yes	characteristic
1375	C₂×C₃	#3514	1	1	yes	characteristic
1376	C₂×C₃	#3521	1	1	yes	characteristic
1377	C₂×C₃	#3521	1	1	yes	characteristic
1378	C₂²	—	2	2	no	—
1379	C₂²	—	2	2	no	—
1380	C₂²	—	2	2	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	2	no	—
1385	C₂²	—	2	2	no	—
1386	C₂²	—	2	2	no	—
1387	C₂²	—	4	1	no	—
1388	C₂²	—	4	1	no	—
1389	C₂²	—	4	1	no	—
1390	C₂²	—	4	1	no	—
1391	C₂²	—	4	1	no	—
1392	C₂²	—	4	1	no	—
1393	C₂²	—	4	1	no	—
1394	C₂²	—	4	1	no	—
1395	C₂²	—	4	1	no	—
1396	C₂²	—	4	1	no	—
1397	C₂²	—	4	1	no	—
1398	C₂²	—	4	1	no	—
1399	C₂²	—	4	1	no	—
1400	C₂²	—	4	1	no	—
1401	C₂²	—	4	1	no	—
1402	C₂²	—	4	1	no	—
1403	C₂²	—	4	1	no	—
1404	C₂²	—	4	1	no	—
1405	C₂²	—	4	1	no	—
1406	C₂²	—	8	8	no	—
1407	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1408	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1409	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1410	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1411	C₂²	C₃×#585	1	1	yes	characteristic
1412	C₂²	C₃×#585	1	1	yes	characteristic
1413	C₂²	C₃×#585	1	1	yes	characteristic
1414	C₄	—	2	2	no	—
1415	C₄	—	2	2	no	—
1416	C₄	—	2	2	no	—
1417	C₄	—	2	2	no	—
1418	C₄	—	2	2	no	—
1419	C₄	—	2	2	no	—
1420	C₄	—	2	2	no	—
1421	C₄	—	4	1	no	—
1422	C₄	—	4	1	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	4	1	no	—
1432	C₄	—	4	1	no	—
1433	C₄	—	4	1	no	—
1434	C₄	—	4	1	no	—
1435	C₄	—	4	1	no	—
1436	C₄	—	4	1	no	—
1437	C₄	—	4	1	no	—
1438	C₄	—	4	1	no	—
1439	C₄	—	4	1	no	—
1440	C₄	—	4	1	no	—
1441	C₃	#35967	1	1	yes	characteristic, direct product factor, Sylow
1442	C₂	—	4	2	no	—
1443	C₂	—	4	2	no	—
1444	C₂	—	4	2	no	—
1445	C₂	—	8	1	no	—
1446	C₂	C₃×#3444	1	1	yes	characteristic
1447	C₂	C₃×#3505	1	1	yes	characteristic
1448	C₂	C₃×#3510	1	1	yes	characteristic
1449	C₂	C₃×#3513	1	1	yes	characteristic
1450	C₂	C₃×#3514	1	1	yes	characteristic
1451	C₂	C₃×#3521	1	1	yes	characteristic
1452	C₂	C₃×#3521	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₂×C₃×#120	C₂²
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#2663	C₂	semidirect
2. C₃×#2653	C₂	semidirect
3. C₃×#2652	C₂	semidirect
4. C₃×#2597	C₂	semidirect
5. C₃×#2595	C₂	semidirect
6. C₃×#2576	C₂	semidirect
7. C₃×#2575	C₂	semidirect
8. C₃×#2574	C₂	semidirect
9. C₃×#2561	C₂	semidirect
10. C₃×#2553	C₂	semidirect
11. C₃×#2527	C₂	semidirect
12. C₃×#2526	C₂	semidirect
13. C₃×#2521	C₂	semidirect
14. C₃×#2494	C₂	semidirect
15. C₃×#2480	C₂	semidirect
16. C₃×#2480	C₂	semidirect
18. C₃×#2465	C₂	semidirect
19. C₃×#2421	C₂	semidirect
22. C₃×#2401	C₂	semidirect
23. C₃×#2398	C₂	semidirect
24. C₃×#2396	C₂	semidirect
25. C₃×#2374	C₂	semidirect
26. C₃×#2374	C₂	semidirect
27. C₃×#2373	C₂	semidirect
28. C₃×#2373	C₂	semidirect
29. C₃×#2367	C₂	semidirect
30. C₃×#2362	C₂	semidirect
31. C₃×#2273	C₂	semidirect
32. #35967	C₃	direct (N × H)
41. C₂×C₃×C₄×Q₈	C₂²	semidirect
42. C₂×C₃×C₄×Q₈	C₂²	semidirect
48. C₃×#401	C₂²	semidirect
49. C₃×#401	C₂²	semidirect
50. C₃×#400	C₂²	semidirect
51. C₃×#400	C₂²	semidirect
52. C₃×#400	C₂²	semidirect
53. C₃×#400	C₂²	semidirect
54. C₃×#400	C₂²	semidirect
55. C₃×#400	C₂²	semidirect
57. C₃×#399	C₂²	semidirect
58. C₃×#398	C₂²	semidirect
59. C₃×#398	C₂²	semidirect
70. C₃×#397	C₂²	semidirect
71. C₃×#397	C₂²	semidirect
76. C₃×#395	C₂²	semidirect
77. C₃×#395	C₂²	semidirect
87. C₃×#393	C₂²	semidirect
88. C₃×#391	C₂²	semidirect
89. C₃×#391	C₂²	semidirect
90. C₃×#391	C₂²	semidirect
94. C₃×#389	C₂²	semidirect
95. C₃×#389	C₂²	semidirect
96. C₃×#389	C₂²	semidirect
97. C₃×#389	C₂²	semidirect
114. C₃×#388	C₂²	semidirect
115. C₃×#388	C₂²	semidirect
116. C₃×#388	C₂²	semidirect
117. C₃×#388	C₂²	semidirect
118. C₃×#388	C₂²	semidirect
119. C₃×#388	C₂²	semidirect
120. C₃×#388	C₂²	semidirect
121. C₃×#388	C₂²	semidirect
122. C₃×#387	C₂²	semidirect
123. C₃×#387	C₂²	semidirect
124. C₃×#387	C₂²	semidirect
125. C₃×#387	C₂²	semidirect
126. C₃×#387	C₂²	semidirect
127. C₃×#387	C₂²	semidirect
128. C₃×#387	C₂²	semidirect
129. C₃×#387	C₂²	semidirect
130. C₃×#387	C₂²	semidirect
131. C₃×#387	C₂²	semidirect
132. C₃×#387	C₂²	semidirect
133. C₃×#387	C₂²	semidirect
134. C₃×#387	C₂²	semidirect
135. C₃×#387	C₂²	semidirect
147. C₃×#385	C₂²	semidirect
148. C₃×#382	C₂²	semidirect
149. C₃×#382	C₂²	semidirect
158. C₃×C₄×C₄⋊C₄	C₂²	semidirect
159. C₃×C₄×C₄⋊C₄	C₂²	semidirect
160. C₃×C₄×C₄⋊C₄	C₂²	semidirect
161. C₃×C₄×C₄⋊C₄	C₂²	semidirect
162. C₃×C₄×C₄⋊C₄	C₂²	semidirect
163. C₃×C₄×C₄⋊C₄	C₂²	semidirect
164. C₃×C₄×C₄⋊C₄	C₂²	semidirect
165. C₃×C₄×C₄⋊C₄	C₂²	semidirect
166. C₃×C₄×C₄⋊C₄	C₂²	semidirect
183. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
184. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
185. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
186. C₃×#376	C₂²	semidirect
187. C₃×#376	C₂²	semidirect
188. #2663	C₂×C₃	semidirect
189. #2653	C₂×C₃	semidirect
190. #2652	C₂×C₃	semidirect
191. #2597	C₂×C₃	semidirect
192. #2595	C₂×C₃	semidirect
193. #2576	C₂×C₃	semidirect
194. #2575	C₂×C₃	semidirect
195. #2574	C₂×C₃	semidirect
196. #2561	C₂×C₃	semidirect
197. #2553	C₂×C₃	semidirect
198. #2527	C₂×C₃	semidirect
199. #2526	C₂×C₃	semidirect
200. #2521	C₂×C₃	semidirect
201. #2494	C₂×C₃	semidirect
202. #2480	C₂×C₃	semidirect
203. #2480	C₂×C₃	semidirect
205. #2465	C₂×C₃	semidirect
206. #2421	C₂×C₃	semidirect
209. #2401	C₂×C₃	semidirect
210. #2398	C₂×C₃	semidirect
211. #2396	C₂×C₃	semidirect
212. #2374	C₂×C₃	semidirect
213. #2374	C₂×C₃	semidirect
214. #2373	C₂×C₃	semidirect
215. #2373	C₂×C₃	semidirect
216. #2367	C₂×C₃	semidirect
217. #2362	C₂×C₃	semidirect
218. #2273	C₂×C₃	semidirect
397. C₂×C₄×Q₈	C₂²×C₃	semidirect
398. C₂×C₄×Q₈	C₂²×C₃	semidirect
404. #401	C₂²×C₃	semidirect
405. #401	C₂²×C₃	semidirect
406. #400	C₂²×C₃	semidirect
407. #400	C₂²×C₃	semidirect
408. #400	C₂²×C₃	semidirect
409. #400	C₂²×C₃	semidirect
410. #400	C₂²×C₃	semidirect
411. #400	C₂²×C₃	semidirect
413. #399	C₂²×C₃	semidirect
414. #398	C₂²×C₃	semidirect
415. #398	C₂²×C₃	semidirect
426. #397	C₂²×C₃	semidirect
427. #397	C₂²×C₃	semidirect
432. #395	C₂²×C₃	semidirect
433. #395	C₂²×C₃	semidirect
443. #393	C₂²×C₃	semidirect
444. #391	C₂²×C₃	semidirect
445. #391	C₂²×C₃	semidirect
446. #391	C₂²×C₃	semidirect
450. #389	C₂²×C₃	semidirect
451. #389	C₂²×C₃	semidirect
452. #389	C₂²×C₃	semidirect
453. #389	C₂²×C₃	semidirect
470. #388	C₂²×C₃	semidirect
471. #388	C₂²×C₃	semidirect
472. #388	C₂²×C₃	semidirect
473. #388	C₂²×C₃	semidirect
474. #388	C₂²×C₃	semidirect
475. #388	C₂²×C₃	semidirect
476. #388	C₂²×C₃	semidirect
477. #388	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
490. #387	C₂²×C₃	semidirect
491. #387	C₂²×C₃	semidirect
503. #385	C₂²×C₃	semidirect
504. #382	C₂²×C₃	semidirect
505. #382	C₂²×C₃	semidirect
514. C₄×C₄⋊C₄	C₂²×C₃	semidirect
515. C₄×C₄⋊C₄	C₂²×C₃	semidirect
516. C₄×C₄⋊C₄	C₂²×C₃	semidirect
517. C₄×C₄⋊C₄	C₂²×C₃	semidirect
518. C₄×C₄⋊C₄	C₂²×C₃	semidirect
519. C₄×C₄⋊C₄	C₂²×C₃	semidirect
520. C₄×C₄⋊C₄	C₂²×C₃	semidirect
521. C₄×C₄⋊C₄	C₂²×C₃	semidirect
522. C₄×C₄⋊C₄	C₂²×C₃	semidirect
539. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
540. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
541. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
542. #376	C₂²×C₃	semidirect
543. #376	C₂²×C₃	semidirect
1441. C₃	#35967	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×#2663	2
C₃×#2653	2
C₃×#2652	2
C₃×#2597	2
C₃×#2595	2
C₃×#2576	2
C₃×#2575	2
C₃×#2574	2
C₃×#2561	2
C₃×#2553	2
C₃×#2527	2
C₃×#2526	2
C₃×#2521	2
C₃×#2494	2
C₃×#2480	2
C₃×#2472	2
C₃×#2465	2
C₃×#2421	2
C₃×#2418	2
C₃×#2411	2
C₃×#2401	2
C₃×#2398	2
C₃×#2396	2
C₃×#2374	2
C₃×#2373	2
C₃×#2367	2
C₃×#2362	2
C₃×#2273	2
#35967	3

Subgroups — C3×#35967 #10654574

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#35967 #10654574