Subgroups — C₃×#38334 #10656941

Order 768.

1958 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2861	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#2803	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2788	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2772	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2753	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2730	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2678	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2672	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2670	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2648	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2648	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2558	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2555	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2516	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2477	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2474	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2472	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2465	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2464	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2460	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2459	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2426	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2424	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#2414	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#2411	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2374	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#2358	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2333	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#2312	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×C₄×#124	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#2293	C₂	1	1	yes	maximal, characteristic, complemented
32	#38334	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₃×#124	C₂²	1	1	yes	characteristic
35	C₂×C₃×#124	C₂²	1	1	yes	characteristic
36	C₂×C₃×#124	C₂²	1	1	yes	characteristic
37	C₂×C₃×#124	C₂²	1	1	yes	characteristic, complemented
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, complemented
42	C₂×C₃×#121	C₂²	1	1	yes	characteristic
43	C₂×C₃×#121	C₂²	1	1	yes	characteristic
44	C₂×C₃×#121	C₂²	1	1	yes	characteristic
45	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₃×#120	C₂²	1	1	yes	characteristic
47	C₂×C₃×#120	C₂²	1	1	yes	characteristic
48	C₂×C₃×#120	C₂²	1	1	yes	characteristic
49	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
51	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
52	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
53	C₂×C₃×#117	C₂²	1	1	yes	characteristic
54	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
55	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
56	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
57	C₃×#400	C₂²	1	1	yes	characteristic, complemented
58	C₃×#400	C₂²	1	1	yes	characteristic, complemented
59	C₃×#400	C₂²	1	1	yes	characteristic, complemented
60	C₃×#399	C₂²	1	1	yes	characteristic, complemented
61	C₃×#398	C₂²	1	1	yes	characteristic, complemented
62	C₃×#397	C₂²	1	1	yes	characteristic
63	C₃×#397	C₂²	1	1	yes	characteristic
64	C₃×#397	C₂²	1	1	yes	characteristic, complemented
65	C₃×#397	C₂²	1	1	yes	characteristic, complemented
66	C₃×#397	C₂²	1	1	yes	characteristic, complemented
67	C₃×#396	C₂²	1	1	yes	characteristic
68	C₃×#396	C₂²	1	1	yes	characteristic
69	C₃×#396	C₂²	1	1	yes	characteristic
70	C₃×#396	C₂²	1	1	yes	characteristic
71	C₃×#396	C₂²	1	1	yes	characteristic, complemented
72	C₃×#396	C₂²	1	1	yes	characteristic, complemented
73	C₃×#395	C₂²	1	1	yes	characteristic, complemented
74	C₃×#395	C₂²	1	1	yes	characteristic, complemented
75	C₃×#394	C₂²	1	1	yes	characteristic
76	C₃×#394	C₂²	1	1	yes	characteristic
77	C₃×#394	C₂²	1	1	yes	characteristic
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×#394	C₂²	1	1	yes	characteristic
85	C₃×#394	C₂²	1	1	yes	characteristic, complemented
86	C₃×#394	C₂²	1	1	yes	characteristic, complemented
87	C₃×#394	C₂²	1	1	yes	characteristic, complemented
88	C₃×#394	C₂²	1	1	yes	characteristic, complemented
89	C₃×#393	C₂²	1	1	yes	characteristic
90	C₃×#393	C₂²	1	1	yes	characteristic
91	C₃×#392	C₂²	1	1	yes	characteristic
92	C₃×#392	C₂²	1	1	yes	characteristic
93	C₃×#392	C₂²	1	1	yes	characteristic
94	C₃×#392	C₂²	1	1	yes	characteristic
95	C₃×#392	C₂²	1	1	yes	characteristic
96	C₃×#392	C₂²	1	1	yes	characteristic
97	C₃×#391	C₂²	1	1	yes	characteristic, complemented
98	C₃×#391	C₂²	1	1	yes	characteristic, complemented
99	C₃×#391	C₂²	1	1	yes	characteristic, complemented
100	C₃×#390	C₂²	1	1	yes	characteristic
101	C₃×#390	C₂²	1	1	yes	characteristic
102	C₃×#390	C₂²	1	1	yes	characteristic
103	C₃×#390	C₂²	1	1	yes	characteristic
104	C₃×#390	C₂²	1	1	yes	characteristic
105	C₃×#390	C₂²	1	1	yes	characteristic
106	C₃×#390	C₂²	1	1	yes	characteristic
107	C₃×#390	C₂²	1	1	yes	characteristic
108	C₃×#390	C₂²	1	1	yes	characteristic
109	C₃×#390	C₂²	1	1	yes	characteristic, complemented
110	C₃×#390	C₂²	1	1	yes	characteristic, complemented
111	C₃×#389	C₂²	1	1	yes	characteristic, complemented
112	C₃×#389	C₂²	1	1	yes	characteristic, complemented
113	C₃×#389	C₂²	1	1	yes	characteristic, complemented
114	C₃×#389	C₂²	1	1	yes	characteristic, complemented
115	C₃×#388	C₂²	1	1	yes	characteristic
116	C₃×#388	C₂²	1	1	yes	characteristic
117	C₃×#388	C₂²	1	1	yes	characteristic
118	C₃×#388	C₂²	1	1	yes	characteristic
119	C₃×#388	C₂²	1	1	yes	characteristic
120	C₃×#388	C₂²	1	1	yes	characteristic
121	C₃×#388	C₂²	1	1	yes	characteristic
122	C₃×#388	C₂²	1	1	yes	characteristic
123	C₃×#388	C₂²	1	1	yes	characteristic
124	C₃×#388	C₂²	1	1	yes	characteristic
125	C₃×#388	C₂²	1	1	yes	characteristic
126	C₃×#388	C₂²	1	1	yes	characteristic
127	C₃×#388	C₂²	1	1	yes	characteristic
128	C₃×#388	C₂²	1	1	yes	characteristic
129	C₃×#388	C₂²	1	1	yes	characteristic
130	C₃×#388	C₂²	1	1	yes	characteristic
131	C₃×#388	C₂²	1	1	yes	characteristic
132	C₃×#388	C₂²	1	1	yes	characteristic
133	C₃×#388	C₂²	1	1	yes	characteristic, complemented
134	C₃×#388	C₂²	1	1	yes	characteristic, complemented
135	C₃×#388	C₂²	1	1	yes	characteristic, complemented
136	C₃×#388	C₂²	1	1	yes	characteristic, complemented
137	C₃×#388	C₂²	1	1	yes	characteristic, complemented
138	C₃×#388	C₂²	1	1	yes	characteristic, complemented
139	C₃×#388	C₂²	1	1	yes	characteristic, complemented
140	C₃×#388	C₂²	1	1	yes	characteristic, complemented
141	C₃×#388	C₂²	1	1	yes	characteristic, complemented
142	C₃×#388	C₂²	1	1	yes	characteristic, complemented
143	C₃×#388	C₂²	1	1	yes	characteristic, complemented
144	C₃×#388	C₂²	1	1	yes	characteristic, complemented
145	C₃×#387	C₂²	1	1	yes	characteristic, complemented
146	C₃×#387	C₂²	1	1	yes	characteristic, complemented
147	C₃×#387	C₂²	1	1	yes	characteristic, complemented
148	C₃×#387	C₂²	1	1	yes	characteristic, complemented
149	C₃×#387	C₂²	1	1	yes	characteristic, complemented
150	C₃×#387	C₂²	1	1	yes	characteristic, complemented
151	C₃×#387	C₂²	1	1	yes	characteristic, complemented
152	C₃×#387	C₂²	1	1	yes	characteristic, complemented
153	C₃×#386	C₂²	1	1	yes	characteristic
154	C₃×#386	C₂²	1	1	yes	characteristic
155	C₃×#386	C₂²	1	1	yes	characteristic
156	C₃×#386	C₂²	1	1	yes	characteristic
157	C₃×#386	C₂²	1	1	yes	characteristic
158	C₃×#386	C₂²	1	1	yes	characteristic
159	C₃×#386	C₂²	1	1	yes	characteristic
160	C₃×#386	C₂²	1	1	yes	characteristic
161	C₃×#386	C₂²	1	1	yes	characteristic
162	C₃×#386	C₂²	1	1	yes	characteristic, complemented
163	C₃×#386	C₂²	1	1	yes	characteristic, complemented
164	C₃×#385	C₂²	1	1	yes	characteristic
165	C₃×#385	C₂²	1	1	yes	characteristic
166	C₃×#385	C₂²	1	1	yes	characteristic
167	C₃×#385	C₂²	1	1	yes	characteristic
168	C₃×#385	C₂²	1	1	yes	characteristic, complemented
169	C₃×#382	C₂²	1	1	yes	characteristic, complemented
170	C₃×#381	C₂²	1	1	yes	characteristic, complemented
171	C₃×#380	C₂²	1	1	yes	characteristic
172	C₃×#380	C₂²	1	1	yes	characteristic
173	C₃×#379	C₂²	1	1	yes	characteristic
174	C₃×#379	C₂²	1	1	yes	characteristic
175	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
176	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
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×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
185	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	C₃×C₄³	C₂²	1	1	yes	characteristic, complemented
188	#2861	C₂×C₃	1	1	yes	characteristic, complemented
189	#2803	C₂×C₃	1	1	yes	characteristic, complemented
190	#2788	C₂×C₃	1	1	yes	characteristic, complemented
191	#2772	C₂×C₃	1	1	yes	characteristic, complemented
192	#2753	C₂×C₃	1	1	yes	characteristic, complemented
193	#2730	C₂×C₃	1	1	yes	characteristic, complemented
194	#2678	C₂×C₃	1	1	yes	characteristic, complemented
195	#2672	C₂×C₃	1	1	yes	characteristic, complemented
196	#2670	C₂×C₃	1	1	yes	characteristic, complemented
197	#2648	C₂×C₃	1	1	yes	characteristic, complemented
198	#2648	C₂×C₃	1	1	yes	characteristic, complemented
199	#2558	C₂×C₃	1	1	yes	characteristic, complemented
200	#2555	C₂×C₃	1	1	yes	characteristic, complemented
201	#2516	C₂×C₃	1	1	yes	characteristic, complemented
202	#2477	C₂×C₃	1	1	yes	characteristic, complemented
203	#2474	C₂×C₃	1	1	yes	characteristic, complemented
204	#2472	C₂×C₃	1	1	yes	characteristic, complemented
205	#2465	C₂×C₃	1	1	yes	characteristic, complemented
206	#2464	C₂×C₃	1	1	yes	characteristic, complemented
207	#2460	C₂×C₃	1	1	yes	characteristic, complemented
208	#2459	C₂×C₃	1	1	yes	characteristic, complemented
209	#2426	C₂×C₃	1	1	yes	characteristic, complemented
210	#2424	C₂×C₃	1	1	yes	characteristic, complemented
211	#2414	C₂×C₃	1	1	yes	characteristic, complemented
212	#2411	C₂×C₃	1	1	yes	characteristic, complemented
213	#2374	C₂×C₃	1	1	yes	characteristic, complemented
214	#2358	C₂×C₃	1	1	yes	characteristic, complemented
215	#2333	C₂×C₃	1	1	yes	characteristic, complemented
216	#2312	C₂×C₃	1	1	yes	characteristic, complemented
217	C₄×#124	C₂×C₃	1	1	yes	characteristic, complemented
218	#2293	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	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
226	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
227	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
228	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
229	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
230	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
231	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
232	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
233	C₂²×C₃×D₄	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	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
239	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
240	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
241	C₃×#125	—	4	2	no	—
242	C₃×#124	—	2	4	no	—
243	C₃×#124	—	4	2	no	—
244	C₃×#124	—	4	2	no	—
245	C₃×#124	—	4	2	no	—
246	C₃×#123	—	2	4	no	—
247	C₃×#123	—	4	2	no	—
248	C₃×C₂²⋊Q₈	—	4	2	no	—
249	C₃×C₂²⋊Q₈	—	4	2	no	—
250	C₃×#121	—	2	4	no	—
251	C₃×#121	—	4	2	no	—
252	C₃×#121	—	4	2	no	—
253	C₃×#121	—	4	2	no	—
254	C₃×#120	—	2	4	no	—
255	C₃×#120	—	4	2	no	—
256	C₃×#120	—	4	2	no	—
257	C₃×C₄×Q₈	—	4	2	no	—
258	C₃×C₄×D₄	—	2	4	no	—
259	C₃×C₄×D₄	—	4	2	no	—
260	C₃×C₄×D₄	—	4	2	no	—
261	C₃×#117	—	4	2	no	—
262	C₃×#117	—	4	2	no	—
263	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
290	C₂×C₃×C₂²⋊C₄	—	4	2	no	—
291	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₃×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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
337	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
338	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
339	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
340	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
341	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
342	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
343	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
344	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
345	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
346	C₂×C₃×C₂²⋊C₄	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	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
359	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
360	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
361	C₂×C₃×C₄²	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	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
399	C₂×#124	C₂²×C₃	1	1	yes	characteristic
400	C₂×#124	C₂²×C₃	1	1	yes	characteristic
401	C₂×#124	C₂²×C₃	1	1	yes	characteristic
402	C₂×#124	C₂²×C₃	1	1	yes	characteristic, complemented
403	C₂×#123	C₂²×C₃	1	1	yes	characteristic
404	C₂×#123	C₂²×C₃	1	1	yes	characteristic
405	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
406	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
407	C₂×#121	C₂²×C₃	1	1	yes	characteristic
408	C₂×#121	C₂²×C₃	1	1	yes	characteristic
409	C₂×#121	C₂²×C₃	1	1	yes	characteristic
410	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
411	C₂×#120	C₂²×C₃	1	1	yes	characteristic
412	C₂×#120	C₂²×C₃	1	1	yes	characteristic
413	C₂×#120	C₂²×C₃	1	1	yes	characteristic
414	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
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, complemented
420	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
421	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
422	#400	C₂²×C₃	1	1	yes	characteristic, complemented
423	#400	C₂²×C₃	1	1	yes	characteristic, complemented
424	#400	C₂²×C₃	1	1	yes	characteristic, complemented
425	#399	C₂²×C₃	1	1	yes	characteristic, complemented
426	#398	C₂²×C₃	1	1	yes	characteristic, complemented
427	#397	C₂²×C₃	1	1	yes	characteristic
428	#397	C₂²×C₃	1	1	yes	characteristic
429	#397	C₂²×C₃	1	1	yes	characteristic, complemented
430	#397	C₂²×C₃	1	1	yes	characteristic, complemented
431	#397	C₂²×C₃	1	1	yes	characteristic, complemented
432	#396	C₂²×C₃	1	1	yes	characteristic
433	#396	C₂²×C₃	1	1	yes	characteristic
434	#396	C₂²×C₃	1	1	yes	characteristic
435	#396	C₂²×C₃	1	1	yes	characteristic
436	#396	C₂²×C₃	1	1	yes	characteristic, complemented
437	#396	C₂²×C₃	1	1	yes	characteristic, complemented
438	#395	C₂²×C₃	1	1	yes	characteristic, complemented
439	#395	C₂²×C₃	1	1	yes	characteristic, complemented
440	#394	C₂²×C₃	1	1	yes	characteristic
441	#394	C₂²×C₃	1	1	yes	characteristic
442	#394	C₂²×C₃	1	1	yes	characteristic
443	#394	C₂²×C₃	1	1	yes	characteristic
444	#394	C₂²×C₃	1	1	yes	characteristic
445	#394	C₂²×C₃	1	1	yes	characteristic
446	#394	C₂²×C₃	1	1	yes	characteristic
447	#394	C₂²×C₃	1	1	yes	characteristic
448	#394	C₂²×C₃	1	1	yes	characteristic
449	#394	C₂²×C₃	1	1	yes	characteristic
450	#394	C₂²×C₃	1	1	yes	characteristic, complemented
451	#394	C₂²×C₃	1	1	yes	characteristic, complemented
452	#394	C₂²×C₃	1	1	yes	characteristic, complemented
453	#394	C₂²×C₃	1	1	yes	characteristic, complemented
454	#393	C₂²×C₃	1	1	yes	characteristic
455	#393	C₂²×C₃	1	1	yes	characteristic
456	#392	C₂²×C₃	1	1	yes	characteristic
457	#392	C₂²×C₃	1	1	yes	characteristic
458	#392	C₂²×C₃	1	1	yes	characteristic
459	#392	C₂²×C₃	1	1	yes	characteristic
460	#392	C₂²×C₃	1	1	yes	characteristic
461	#392	C₂²×C₃	1	1	yes	characteristic
462	#391	C₂²×C₃	1	1	yes	characteristic, complemented
463	#391	C₂²×C₃	1	1	yes	characteristic, complemented
464	#391	C₂²×C₃	1	1	yes	characteristic, complemented
465	#390	C₂²×C₃	1	1	yes	characteristic
466	#390	C₂²×C₃	1	1	yes	characteristic
467	#390	C₂²×C₃	1	1	yes	characteristic
468	#390	C₂²×C₃	1	1	yes	characteristic
469	#390	C₂²×C₃	1	1	yes	characteristic
470	#390	C₂²×C₃	1	1	yes	characteristic
471	#390	C₂²×C₃	1	1	yes	characteristic
472	#390	C₂²×C₃	1	1	yes	characteristic
473	#390	C₂²×C₃	1	1	yes	characteristic
474	#390	C₂²×C₃	1	1	yes	characteristic, complemented
475	#390	C₂²×C₃	1	1	yes	characteristic, complemented
476	#389	C₂²×C₃	1	1	yes	characteristic, complemented
477	#389	C₂²×C₃	1	1	yes	characteristic, complemented
478	#389	C₂²×C₃	1	1	yes	characteristic, complemented
479	#389	C₂²×C₃	1	1	yes	characteristic, complemented
480	#388	C₂²×C₃	1	1	yes	characteristic
481	#388	C₂²×C₃	1	1	yes	characteristic
482	#388	C₂²×C₃	1	1	yes	characteristic
483	#388	C₂²×C₃	1	1	yes	characteristic
484	#388	C₂²×C₃	1	1	yes	characteristic
485	#388	C₂²×C₃	1	1	yes	characteristic
486	#388	C₂²×C₃	1	1	yes	characteristic
487	#388	C₂²×C₃	1	1	yes	characteristic
488	#388	C₂²×C₃	1	1	yes	characteristic
489	#388	C₂²×C₃	1	1	yes	characteristic
490	#388	C₂²×C₃	1	1	yes	characteristic
491	#388	C₂²×C₃	1	1	yes	characteristic
492	#388	C₂²×C₃	1	1	yes	characteristic
493	#388	C₂²×C₃	1	1	yes	characteristic
494	#388	C₂²×C₃	1	1	yes	characteristic
495	#388	C₂²×C₃	1	1	yes	characteristic
496	#388	C₂²×C₃	1	1	yes	characteristic
497	#388	C₂²×C₃	1	1	yes	characteristic
498	#388	C₂²×C₃	1	1	yes	characteristic, complemented
499	#388	C₂²×C₃	1	1	yes	characteristic, complemented
500	#388	C₂²×C₃	1	1	yes	characteristic, complemented
501	#388	C₂²×C₃	1	1	yes	characteristic, complemented
502	#388	C₂²×C₃	1	1	yes	characteristic, complemented
503	#388	C₂²×C₃	1	1	yes	characteristic, complemented
504	#388	C₂²×C₃	1	1	yes	characteristic, complemented
505	#388	C₂²×C₃	1	1	yes	characteristic, complemented
506	#388	C₂²×C₃	1	1	yes	characteristic, complemented
507	#388	C₂²×C₃	1	1	yes	characteristic, complemented
508	#388	C₂²×C₃	1	1	yes	characteristic, complemented
509	#388	C₂²×C₃	1	1	yes	characteristic, complemented
510	#387	C₂²×C₃	1	1	yes	characteristic, complemented
511	#387	C₂²×C₃	1	1	yes	characteristic, complemented
512	#387	C₂²×C₃	1	1	yes	characteristic, complemented
513	#387	C₂²×C₃	1	1	yes	characteristic, complemented
514	#387	C₂²×C₃	1	1	yes	characteristic, complemented
515	#387	C₂²×C₃	1	1	yes	characteristic, complemented
516	#387	C₂²×C₃	1	1	yes	characteristic, complemented
517	#387	C₂²×C₃	1	1	yes	characteristic, complemented
518	#386	C₂²×C₃	1	1	yes	characteristic
519	#386	C₂²×C₃	1	1	yes	characteristic
520	#386	C₂²×C₃	1	1	yes	characteristic
521	#386	C₂²×C₃	1	1	yes	characteristic
522	#386	C₂²×C₃	1	1	yes	characteristic
523	#386	C₂²×C₃	1	1	yes	characteristic
524	#386	C₂²×C₃	1	1	yes	characteristic
525	#386	C₂²×C₃	1	1	yes	characteristic
526	#386	C₂²×C₃	1	1	yes	characteristic
527	#386	C₂²×C₃	1	1	yes	characteristic, complemented
528	#386	C₂²×C₃	1	1	yes	characteristic, complemented
529	#385	C₂²×C₃	1	1	yes	characteristic
530	#385	C₂²×C₃	1	1	yes	characteristic
531	#385	C₂²×C₃	1	1	yes	characteristic
532	#385	C₂²×C₃	1	1	yes	characteristic
533	#385	C₂²×C₃	1	1	yes	characteristic, complemented
534	#382	C₂²×C₃	1	1	yes	characteristic, complemented
535	#381	C₂²×C₃	1	1	yes	characteristic, complemented
536	#380	C₂²×C₃	1	1	yes	characteristic
537	#380	C₂²×C₃	1	1	yes	characteristic
538	#379	C₂²×C₃	1	1	yes	characteristic
539	#379	C₂²×C₃	1	1	yes	characteristic
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, complemented
548	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
549	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
550	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
551	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
552	C₄³	C₂²×C₃	1	1	yes	characteristic, complemented
553	C₂⁴×C₃	—	2	2	no	—
554	C₂⁴×C₃	—	2	2	no	—
555	C₂⁴×C₃	—	4	1	no	—
556	C₂⁴×C₃	—	4	1	no	—
557	C₂⁴×C₃	—	4	1	no	—
558	C₂⁴×C₃	—	4	1	no	—
559	C₂⁴×C₃	—	4	1	no	—
560	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
561	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
562	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
563	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
564	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
565	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
566	C₂×C₃×Q₈	—	2	2	no	—
567	C₂×C₃×Q₈	—	2	2	no	—
568	C₂×C₃×Q₈	—	2	2	no	—
569	C₂×C₃×Q₈	—	4	1	no	—
570	C₂×C₃×Q₈	—	4	1	no	—
571	C₂×C₃×Q₈	—	4	1	no	—
572	C₂×C₃×D₄	—	2	2	no	—
573	C₂×C₃×D₄	—	2	2	no	—
574	C₂×C₃×D₄	—	2	2	no	—
575	C₂×C₃×D₄	—	2	2	no	—
576	C₂×C₃×D₄	—	2	2	no	—
577	C₂×C₃×D₄	—	2	2	no	—
578	C₂×C₃×D₄	—	2	2	no	—
579	C₂×C₃×D₄	—	2	2	no	—
580	C₂×C₃×D₄	—	2	2	no	—
581	C₂×C₃×D₄	—	2	2	no	—
582	C₂×C₃×D₄	—	2	2	no	—
583	C₂×C₃×D₄	—	4	1	no	—
584	C₂×C₃×D₄	—	4	1	no	—
585	C₂×C₃×D₄	—	4	1	no	—
586	C₂×C₃×D₄	—	4	1	no	—
587	C₂×C₃×D₄	—	4	1	no	—
588	C₂×C₃×D₄	—	4	1	no	—
589	C₂×C₃×D₄	—	4	1	no	—
590	C₂×C₃×D₄	—	4	1	no	—
591	C₂×C₃×D₄	—	4	1	no	—
592	C₂×C₃×D₄	—	4	1	no	—
593	C₂×C₃×D₄	—	4	1	no	—
594	C₂×C₃×D₄	—	4	1	no	—
595	C₂×C₃×D₄	—	4	1	no	—
596	C₂×C₃×D₄	—	4	1	no	—
597	C₂×C₃×D₄	—	4	1	no	—
598	C₂×C₃×D₄	—	4	1	no	—
599	C₂×C₃×D₄	—	4	1	no	—
600	C₂×C₃×D₄	—	4	1	no	—
601	C₂×C₃×D₄	—	4	1	no	—
602	C₂×C₃×D₄	—	4	1	no	—
603	C₂×C₃×D₄	—	4	1	no	—
604	C₂×C₃×D₄	—	4	1	no	—
605	C₂×C₃×D₄	—	4	1	no	—
606	C₂×C₃×D₄	—	4	1	no	—
607	C₂×C₃×D₄	—	4	1	no	—
608	C₂²×C₃×C₄	—	2	2	no	—
609	C₂²×C₃×C₄	—	2	2	no	—
610	C₂²×C₃×C₄	—	2	2	no	—
611	C₂²×C₃×C₄	—	2	2	no	—
612	C₂²×C₃×C₄	—	2	2	no	—
613	C₂²×C₃×C₄	—	2	2	no	—
614	C₂²×C₃×C₄	—	2	2	no	—
615	C₂²×C₃×C₄	—	2	2	no	—
616	C₂²×C₃×C₄	—	4	1	no	—
617	C₂²×C₃×C₄	—	4	1	no	—
618	C₂²×C₃×C₄	—	4	1	no	—
619	C₂²×C₃×C₄	—	4	1	no	—
620	C₂²×C₃×C₄	—	4	1	no	—
621	C₂²×C₃×C₄	—	4	1	no	—
622	C₂²×C₃×C₄	—	4	1	no	—
623	C₂²×C₃×C₄	—	4	1	no	—
624	C₂²×C₃×C₄	—	4	1	no	—
625	C₂²×C₃×C₄	—	4	1	no	—
626	C₂²×C₃×C₄	—	4	1	no	—
627	C₂²×C₃×C₄	—	4	1	no	—
628	C₂²×C₃×C₄	—	4	1	no	—
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	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
648	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
649	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
650	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
651	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
652	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
653	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
654	C₃×C₄⋊C₄	—	2	2	no	—
655	C₃×C₄⋊C₄	—	2	2	no	—
656	C₃×C₄⋊C₄	—	2	2	no	—
657	C₃×C₄⋊C₄	—	2	2	no	—
658	C₃×C₄⋊C₄	—	2	2	no	—
659	C₃×C₄⋊C₄	—	2	2	no	—
660	C₃×C₄⋊C₄	—	2	2	no	—
661	C₃×C₄⋊C₄	—	2	2	no	—
662	C₃×C₄⋊C₄	—	2	2	no	—
663	C₃×C₄⋊C₄	—	2	2	no	—
664	C₃×C₄⋊C₄	—	4	1	no	—
665	C₃×C₄⋊C₄	—	4	1	no	—
666	C₃×C₄⋊C₄	—	4	1	no	—
667	C₃×C₄⋊C₄	—	4	1	no	—
668	C₃×C₄⋊C₄	—	4	1	no	—
669	C₃×C₄⋊C₄	—	4	1	no	—
670	C₃×C₄⋊C₄	—	4	1	no	—
671	C₃×C₄⋊C₄	—	4	1	no	—
672	C₃×C₄⋊C₄	—	4	1	no	—
673	C₃×C₄⋊C₄	—	4	1	no	—
674	C₃×C₄⋊C₄	—	4	1	no	—
675	C₃×C₄⋊C₄	—	4	1	no	—
676	C₃×C₄⋊C₄	—	4	1	no	—
677	C₃×C₄⋊C₄	—	4	1	no	—
678	C₃×C₄⋊C₄	—	4	1	no	—
679	C₃×C₄⋊C₄	—	4	1	no	—
680	C₃×C₂²⋊C₄	—	2	2	no	—
681	C₃×C₂²⋊C₄	—	2	2	no	—
682	C₃×C₂²⋊C₄	—	2	2	no	—
683	C₃×C₂²⋊C₄	—	2	2	no	—
684	C₃×C₂²⋊C₄	—	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	—	2	2	no	—
689	C₃×C₂²⋊C₄	—	2	2	no	—
690	C₃×C₂²⋊C₄	—	2	2	no	—
691	C₃×C₂²⋊C₄	—	2	2	no	—
692	C₃×C₂²⋊C₄	—	2	2	no	—
693	C₃×C₂²⋊C₄	—	2	2	no	—
694	C₃×C₂²⋊C₄	—	2	2	no	—
695	C₃×C₂²⋊C₄	—	2	2	no	—
696	C₃×C₂²⋊C₄	—	2	2	no	—
697	C₃×C₂²⋊C₄	—	2	2	no	—
698	C₃×C₂²⋊C₄	—	2	2	no	—
699	C₃×C₂²⋊C₄	—	2	2	no	—
700	C₃×C₂²⋊C₄	—	2	2	no	—
701	C₃×C₂²⋊C₄	—	2	2	no	—
702	C₃×C₂²⋊C₄	—	2	2	no	—
703	C₃×C₂²⋊C₄	—	2	2	no	—
704	C₃×C₂²⋊C₄	—	4	1	no	—
705	C₃×C₂²⋊C₄	—	4	1	no	—
706	C₃×C₂²⋊C₄	—	4	1	no	—
707	C₃×C₂²⋊C₄	—	4	1	no	—
708	C₃×C₂²⋊C₄	—	4	1	no	—
709	C₃×C₂²⋊C₄	—	4	1	no	—
710	C₃×C₂²⋊C₄	—	4	1	no	—
711	C₃×C₂²⋊C₄	—	4	1	no	—
712	C₃×C₂²⋊C₄	—	4	1	no	—
713	C₃×C₂²⋊C₄	—	4	1	no	—
714	C₃×C₂²⋊C₄	—	4	1	no	—
715	C₃×C₂²⋊C₄	—	4	1	no	—
716	C₃×C₂²⋊C₄	—	4	1	no	—
717	C₃×C₂²⋊C₄	—	4	1	no	—
718	C₃×C₂²⋊C₄	—	4	1	no	—
719	C₃×C₂²⋊C₄	—	4	1	no	—
720	C₃×C₂²⋊C₄	—	4	1	no	—
721	C₃×C₂²⋊C₄	—	4	1	no	—
722	C₃×C₂²⋊C₄	—	4	1	no	—
723	C₃×C₂²⋊C₄	—	4	1	no	—
724	C₃×C₂²⋊C₄	—	4	1	no	—
725	C₃×C₂²⋊C₄	—	4	1	no	—
726	C₃×C₂²⋊C₄	—	4	1	no	—
727	C₃×C₂²⋊C₄	—	4	1	no	—
728	C₃×C₂²⋊C₄	—	4	1	no	—
729	C₃×C₂²⋊C₄	—	4	1	no	—
730	C₃×C₂²⋊C₄	—	4	1	no	—
731	C₃×C₂²⋊C₄	—	4	1	no	—
732	C₃×C₂²⋊C₄	—	4	1	no	—
733	C₃×C₂²⋊C₄	—	4	1	no	—
734	C₃×C₂²⋊C₄	#41	1	4	yes	—
735	C₃×C₂²⋊C₄	#41	1	4	yes	—
736	C₃×C₄²	—	2	2	no	—
737	C₃×C₄²	—	2	2	no	—
738	C₃×C₄²	—	2	2	no	—
739	C₃×C₄²	—	2	2	no	—
740	C₃×C₄²	—	2	2	no	—
741	C₃×C₄²	—	4	1	no	—
742	C₃×C₄²	—	4	1	no	—
743	C₃×C₄²	—	4	1	no	—
744	C₃×C₄²	—	4	1	no	—
745	C₃×C₄²	—	4	1	no	—
746	C₃×C₄²	—	4	1	no	—
747	C₃×C₄²	—	4	1	no	—
748	C₃×C₄²	—	4	1	no	—
749	C₃×C₄²	—	4	1	no	—
750	C₃×C₄²	—	4	1	no	—
751	C₂⁵	C₂³×C₃	1	1	yes	characteristic
752	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
753	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
754	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
755	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
756	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
757	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
758	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
759	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
760	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
761	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
762	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
763	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
764	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
765	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
766	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
767	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
768	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
769	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
770	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
771	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
772	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
773	#125	—	4	2	no	—
774	#124	—	2	4	no	—
775	#124	—	4	2	no	—
776	#124	—	4	2	no	—
777	#124	—	4	2	no	—
778	#123	—	2	4	no	—
779	#123	—	4	2	no	—
780	C₂²⋊Q₈	—	4	2	no	—
781	C₂²⋊Q₈	—	4	2	no	—
782	#121	—	2	4	no	—
783	#121	—	4	2	no	—
784	#121	—	4	2	no	—
785	#121	—	4	2	no	—
786	#120	—	2	4	no	—
787	#120	—	4	2	no	—
788	#120	—	4	2	no	—
789	C₄×Q₈	—	4	2	no	—
790	C₄×D₄	—	2	4	no	—
791	C₄×D₄	—	4	2	no	—
792	C₄×D₄	—	4	2	no	—
793	#117	—	4	2	no	—
794	#117	—	4	2	no	—
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×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
814	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
815	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
816	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
817	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
818	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
819	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
820	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
821	C₂×C₂²⋊C₄	—	2	4	no	—
822	C₂×C₂²⋊C₄	—	4	2	no	—
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×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
857	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
858	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
859	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
860	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
861	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
862	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
863	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
864	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
865	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
866	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
867	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
868	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
869	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
870	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
871	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
872	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
873	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
874	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
875	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
876	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
877	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
878	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
879	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
880	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
881	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
882	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
883	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
884	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
885	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
886	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
887	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
888	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
889	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
890	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
891	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
892	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
893	C₂×C₄²	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	#95	C₂³×C₃	1	1	yes	characteristic
923	#95	C₂³×C₃	1	1	yes	characteristic
924	#95	C₂³×C₃	1	1	yes	characteristic
925	#95	C₂³×C₃	1	1	yes	characteristic
926	#95	C₂³×C₃	1	1	yes	characteristic
927	#95	C₂³×C₃	1	1	yes	characteristic
928	#95	C₂³×C₃	1	1	yes	characteristic
929	#95	C₂³×C₃	1	1	yes	characteristic
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	1	no	—
945	C₂³×C₃	—	2	1	no	—
946	C₂³×C₃	—	2	1	no	—
947	C₂³×C₃	—	2	1	no	—
948	C₂³×C₃	—	2	1	no	—
949	C₂³×C₃	—	2	1	no	—
950	C₂³×C₃	—	2	1	no	—
951	C₂³×C₃	—	2	1	no	—
952	C₂³×C₃	—	2	1	no	—
953	C₂³×C₃	—	2	1	no	—
954	C₂³×C₃	—	2	1	no	—
955	C₂³×C₃	—	2	1	no	—
956	C₂³×C₃	—	2	1	no	—
957	C₂³×C₃	—	2	1	no	—
958	C₂³×C₃	—	2	1	no	—
959	C₂³×C₃	—	2	1	no	—
960	C₂³×C₃	—	2	1	no	—
961	C₂³×C₃	—	2	1	no	—
962	C₂³×C₃	—	2	1	no	—
963	C₂³×C₃	—	2	1	no	—
964	C₂³×C₃	—	2	1	no	—
965	C₂³×C₃	—	2	1	no	—
966	C₂³×C₃	—	2	1	no	—
967	C₂³×C₃	—	2	1	no	—
968	C₂³×C₃	—	2	1	no	—
969	C₂³×C₃	—	2	1	no	—
970	C₂³×C₃	—	4	4	no	—
971	C₂³×C₃	—	4	4	no	—
972	C₂³×C₃	—	8	2	no	—
973	C₂³×C₃	—	8	2	no	—
974	C₂³×C₃	—	8	2	no	—
975	C₂³×C₃	—	8	2	no	—
976	C₂³×C₃	—	8	2	no	—
977	C₂³×C₃	C₂×#41	1	2	yes	—
978	C₂³×C₃	C₂×#41	1	2	yes	—
979	C₂³×C₃	C₂⁵	1	1	yes	characteristic
980	C₃×Q₈	—	4	4	no	—
981	C₃×Q₈	—	8	2	no	—
982	C₃×D₄	—	4	4	no	—
983	C₃×D₄	—	4	4	no	—
984	C₃×D₄	—	4	4	no	—
985	C₃×D₄	—	8	2	no	—
986	C₃×D₄	—	8	2	no	—
987	C₃×D₄	—	8	2	no	—
988	C₃×D₄	—	8	2	no	—
989	C₃×D₄	—	8	2	no	—
990	C₃×D₄	—	8	2	no	—
991	C₃×D₄	—	8	2	no	—
992	C₃×D₄	—	8	2	no	—
993	C₃×D₄	—	8	2	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	—	2	1	no	—
1033	C₂×C₃×C₄	—	2	1	no	—
1034	C₂×C₃×C₄	—	2	1	no	—
1035	C₂×C₃×C₄	—	2	1	no	—
1036	C₂×C₃×C₄	—	2	1	no	—
1037	C₂×C₃×C₄	—	2	1	no	—
1038	C₂×C₃×C₄	—	2	1	no	—
1039	C₂×C₃×C₄	—	2	1	no	—
1040	C₂×C₃×C₄	—	2	1	no	—
1041	C₂×C₃×C₄	—	2	1	no	—
1042	C₂×C₃×C₄	—	2	1	no	—
1043	C₂×C₃×C₄	—	2	1	no	—
1044	C₂×C₃×C₄	—	2	1	no	—
1045	C₂×C₃×C₄	—	2	1	no	—
1046	C₂×C₃×C₄	—	2	1	no	—
1047	C₂×C₃×C₄	—	2	1	no	—
1048	C₂×C₃×C₄	—	2	1	no	—
1049	C₂×C₃×C₄	—	2	1	no	—
1050	C₂×C₃×C₄	—	2	1	no	—
1051	C₂×C₃×C₄	—	2	1	no	—
1052	C₂×C₃×C₄	—	2	1	no	—
1053	C₂×C₃×C₄	—	2	1	no	—
1054	C₂×C₃×C₄	—	2	1	no	—
1055	C₂×C₃×C₄	—	2	1	no	—
1056	C₂×C₃×C₄	—	2	1	no	—
1057	C₂×C₃×C₄	—	2	1	no	—
1058	C₂×C₃×C₄	—	2	1	no	—
1059	C₂×C₃×C₄	—	2	1	no	—
1060	C₂×C₃×C₄	—	2	1	no	—
1061	C₂×C₃×C₄	—	2	1	no	—
1062	C₂×C₃×C₄	—	4	4	no	—
1063	C₂×C₃×C₄	—	4	4	no	—
1064	C₂×C₃×C₄	—	8	2	no	—
1065	C₂×C₃×C₄	—	8	2	no	—
1066	C₂×C₃×C₄	—	8	2	no	—
1067	C₂×C₃×C₄	—	8	2	no	—
1068	C₂×C₃×C₄	—	8	2	no	—
1069	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1070	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1071	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1072	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1073	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1074	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1075	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1076	C₂⁴	—	2	2	no	—
1077	C₂⁴	—	2	2	no	—
1078	C₂⁴	—	4	1	no	—
1079	C₂⁴	—	4	1	no	—
1080	C₂⁴	—	4	1	no	—
1081	C₂⁴	—	4	1	no	—
1082	C₂⁴	—	4	1	no	—
1083	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1084	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1085	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1086	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1087	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1088	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1089	C₂×Q₈	—	2	2	no	—
1090	C₂×Q₈	—	2	2	no	—
1091	C₂×Q₈	—	2	2	no	—
1092	C₂×Q₈	—	4	1	no	—
1093	C₂×Q₈	—	4	1	no	—
1094	C₂×Q₈	—	4	1	no	—
1095	C₂×D₄	—	2	2	no	—
1096	C₂×D₄	—	2	2	no	—
1097	C₂×D₄	—	2	2	no	—
1098	C₂×D₄	—	2	2	no	—
1099	C₂×D₄	—	2	2	no	—
1100	C₂×D₄	—	2	2	no	—
1101	C₂×D₄	—	2	2	no	—
1102	C₂×D₄	—	2	2	no	—
1103	C₂×D₄	—	2	2	no	—
1104	C₂×D₄	—	2	2	no	—
1105	C₂×D₄	—	2	2	no	—
1106	C₂×D₄	—	4	1	no	—
1107	C₂×D₄	—	4	1	no	—
1108	C₂×D₄	—	4	1	no	—
1109	C₂×D₄	—	4	1	no	—
1110	C₂×D₄	—	4	1	no	—
1111	C₂×D₄	—	4	1	no	—
1112	C₂×D₄	—	4	1	no	—
1113	C₂×D₄	—	4	1	no	—
1114	C₂×D₄	—	4	1	no	—
1115	C₂×D₄	—	4	1	no	—
1116	C₂×D₄	—	4	1	no	—
1117	C₂×D₄	—	4	1	no	—
1118	C₂×D₄	—	4	1	no	—
1119	C₂×D₄	—	4	1	no	—
1120	C₂×D₄	—	4	1	no	—
1121	C₂×D₄	—	4	1	no	—
1122	C₂×D₄	—	4	1	no	—
1123	C₂×D₄	—	4	1	no	—
1124	C₂×D₄	—	4	1	no	—
1125	C₂×D₄	—	4	1	no	—
1126	C₂×D₄	—	4	1	no	—
1127	C₂×D₄	—	4	1	no	—
1128	C₂×D₄	—	4	1	no	—
1129	C₂×D₄	—	4	1	no	—
1130	C₂×D₄	—	4	1	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	—	2	2	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	C₂⁴×C₃	1	1	yes	characteristic
1153	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1154	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1155	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1156	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1157	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1158	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1159	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1160	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1161	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1162	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1163	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1164	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1165	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1166	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1167	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1168	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1169	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1170	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1171	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1172	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1173	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1174	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1175	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1176	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1177	C₄⋊C₄	—	2	2	no	—
1178	C₄⋊C₄	—	2	2	no	—
1179	C₄⋊C₄	—	2	2	no	—
1180	C₄⋊C₄	—	2	2	no	—
1181	C₄⋊C₄	—	2	2	no	—
1182	C₄⋊C₄	—	2	2	no	—
1183	C₄⋊C₄	—	2	2	no	—
1184	C₄⋊C₄	—	2	2	no	—
1185	C₄⋊C₄	—	2	2	no	—
1186	C₄⋊C₄	—	2	2	no	—
1187	C₄⋊C₄	—	4	1	no	—
1188	C₄⋊C₄	—	4	1	no	—
1189	C₄⋊C₄	—	4	1	no	—
1190	C₄⋊C₄	—	4	1	no	—
1191	C₄⋊C₄	—	4	1	no	—
1192	C₄⋊C₄	—	4	1	no	—
1193	C₄⋊C₄	—	4	1	no	—
1194	C₄⋊C₄	—	4	1	no	—
1195	C₄⋊C₄	—	4	1	no	—
1196	C₄⋊C₄	—	4	1	no	—
1197	C₄⋊C₄	—	4	1	no	—
1198	C₄⋊C₄	—	4	1	no	—
1199	C₄⋊C₄	—	4	1	no	—
1200	C₄⋊C₄	—	4	1	no	—
1201	C₄⋊C₄	—	4	1	no	—
1202	C₄⋊C₄	—	4	1	no	—
1203	C₂²⋊C₄	—	2	2	no	—
1204	C₂²⋊C₄	—	2	2	no	—
1205	C₂²⋊C₄	—	2	2	no	—
1206	C₂²⋊C₄	—	2	2	no	—
1207	C₂²⋊C₄	—	2	2	no	—
1208	C₂²⋊C₄	—	2	2	no	—
1209	C₂²⋊C₄	—	2	2	no	—
1210	C₂²⋊C₄	—	2	2	no	—
1211	C₂²⋊C₄	—	2	2	no	—
1212	C₂²⋊C₄	—	2	2	no	—
1213	C₂²⋊C₄	—	2	2	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	2	2	no	—
1217	C₂²⋊C₄	—	2	2	no	—
1218	C₂²⋊C₄	—	2	2	no	—
1219	C₂²⋊C₄	—	2	2	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	2	2	no	—
1223	C₂²⋊C₄	—	2	2	no	—
1224	C₂²⋊C₄	—	2	2	no	—
1225	C₂²⋊C₄	—	2	2	no	—
1226	C₂²⋊C₄	—	2	2	no	—
1227	C₂²⋊C₄	—	4	1	no	—
1228	C₂²⋊C₄	—	4	1	no	—
1229	C₂²⋊C₄	—	4	1	no	—
1230	C₂²⋊C₄	—	4	1	no	—
1231	C₂²⋊C₄	—	4	1	no	—
1232	C₂²⋊C₄	—	4	1	no	—
1233	C₂²⋊C₄	—	4	1	no	—
1234	C₂²⋊C₄	—	4	1	no	—
1235	C₂²⋊C₄	—	4	1	no	—
1236	C₂²⋊C₄	—	4	1	no	—
1237	C₂²⋊C₄	—	4	1	no	—
1238	C₂²⋊C₄	—	4	1	no	—
1239	C₂²⋊C₄	—	4	1	no	—
1240	C₂²⋊C₄	—	4	1	no	—
1241	C₂²⋊C₄	—	4	1	no	—
1242	C₂²⋊C₄	—	4	1	no	—
1243	C₂²⋊C₄	—	4	1	no	—
1244	C₂²⋊C₄	—	4	1	no	—
1245	C₂²⋊C₄	—	4	1	no	—
1246	C₂²⋊C₄	—	4	1	no	—
1247	C₂²⋊C₄	—	4	1	no	—
1248	C₂²⋊C₄	—	4	1	no	—
1249	C₂²⋊C₄	—	4	1	no	—
1250	C₂²⋊C₄	—	4	1	no	—
1251	C₂²⋊C₄	—	4	1	no	—
1252	C₂²⋊C₄	—	4	1	no	—
1253	C₂²⋊C₄	—	4	1	no	—
1254	C₂²⋊C₄	—	4	1	no	—
1255	C₂²⋊C₄	—	4	1	no	—
1256	C₂²⋊C₄	—	4	1	no	—
1257	C₂²⋊C₄	C₃×#41	1	4	yes	—
1258	C₂²⋊C₄	C₃×#41	1	4	yes	—
1259	C₄²	—	2	2	no	—
1260	C₄²	—	2	2	no	—
1261	C₄²	—	2	2	no	—
1262	C₄²	—	2	2	no	—
1263	C₄²	—	2	2	no	—
1264	C₄²	—	4	1	no	—
1265	C₄²	—	4	1	no	—
1266	C₄²	—	4	1	no	—
1267	C₄²	—	4	1	no	—
1268	C₄²	—	4	1	no	—
1269	C₄²	—	4	1	no	—
1270	C₄²	—	4	1	no	—
1271	C₄²	—	4	1	no	—
1272	C₄²	—	4	1	no	—
1273	C₄²	—	4	1	no	—
1274	C₂²×C₃	—	2	2	no	—
1275	C₂²×C₃	—	2	2	no	—
1276	C₂²×C₃	—	2	2	no	—
1277	C₂²×C₃	—	2	2	no	—
1278	C₂²×C₃	—	2	2	no	—
1279	C₂²×C₃	—	2	2	no	—
1280	C₂²×C₃	—	4	1	no	—
1281	C₂²×C₃	—	4	1	no	—
1282	C₂²×C₃	—	4	1	no	—
1283	C₂²×C₃	—	4	1	no	—
1284	C₂²×C₃	—	4	1	no	—
1285	C₂²×C₃	—	4	1	no	—
1286	C₂²×C₃	—	4	1	no	—
1287	C₂²×C₃	—	4	1	no	—
1288	C₂²×C₃	—	4	1	no	—
1289	C₂²×C₃	—	4	1	no	—
1290	C₂²×C₃	—	4	1	no	—
1291	C₂²×C₃	—	4	1	no	—
1292	C₂²×C₃	—	4	1	no	—
1293	C₂²×C₃	—	4	1	no	—
1294	C₂²×C₃	—	4	1	no	—
1295	C₂²×C₃	—	4	1	no	—
1296	C₂²×C₃	—	4	1	no	—
1297	C₂²×C₃	—	4	1	no	—
1298	C₂²×C₃	—	4	1	no	—
1299	C₂²×C₃	—	4	1	no	—
1300	C₂²×C₃	—	4	1	no	—
1301	C₂²×C₃	—	4	1	no	—
1302	C₂²×C₃	—	4	1	no	—
1303	C₂²×C₃	—	4	1	no	—
1304	C₂²×C₃	—	4	1	no	—
1305	C₂²×C₃	—	4	1	no	—
1306	C₂²×C₃	—	4	1	no	—
1307	C₂²×C₃	—	4	1	no	—
1308	C₂²×C₃	—	4	1	no	—
1309	C₂²×C₃	—	4	1	no	—
1310	C₂²×C₃	—	4	1	no	—
1311	C₂²×C₃	—	4	1	no	—
1312	C₂²×C₃	—	4	1	no	—
1313	C₂²×C₃	—	4	1	no	—
1314	C₂²×C₃	—	4	1	no	—
1315	C₂²×C₃	—	4	1	no	—
1316	C₂²×C₃	—	8	8	no	—
1317	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1318	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1319	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1320	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1321	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1322	C₂²×C₃	#585	1	1	yes	characteristic
1323	C₂²×C₃	#585	1	1	yes	characteristic
1324	C₃×C₄	—	2	2	no	—
1325	C₃×C₄	—	2	2	no	—
1326	C₃×C₄	—	2	2	no	—
1327	C₃×C₄	—	2	2	no	—
1328	C₃×C₄	—	2	2	no	—
1329	C₃×C₄	—	2	2	no	—
1330	C₃×C₄	—	2	2	no	—
1331	C₃×C₄	—	4	1	no	—
1332	C₃×C₄	—	4	1	no	—
1333	C₃×C₄	—	4	1	no	—
1334	C₃×C₄	—	4	1	no	—
1335	C₃×C₄	—	4	1	no	—
1336	C₃×C₄	—	4	1	no	—
1337	C₃×C₄	—	4	1	no	—
1338	C₃×C₄	—	4	1	no	—
1339	C₃×C₄	—	4	1	no	—
1340	C₃×C₄	—	4	1	no	—
1341	C₃×C₄	—	4	1	no	—
1342	C₃×C₄	—	4	1	no	—
1343	C₃×C₄	—	4	1	no	—
1344	C₃×C₄	—	4	1	no	—
1345	C₃×C₄	—	4	1	no	—
1346	C₃×C₄	—	4	1	no	—
1347	C₃×C₄	—	4	1	no	—
1348	C₃×C₄	—	4	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	2	1	no	—
1378	C₂³	—	2	1	no	—
1379	C₂³	—	2	1	no	—
1380	C₂³	—	2	1	no	—
1381	C₂³	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	1	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	4	4	no	—
1390	C₂³	—	4	4	no	—
1391	C₂³	—	8	2	no	—
1392	C₂³	—	8	2	no	—
1393	C₂³	—	8	2	no	—
1394	C₂³	—	8	2	no	—
1395	C₂³	—	8	2	no	—
1396	C₂³	C₂×C₃×#41	1	2	yes	—
1397	C₂³	C₂×C₃×#41	1	2	yes	—
1398	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1399	Q₈	—	4	4	no	—
1400	Q₈	—	8	2	no	—
1401	D₄	—	4	4	no	—
1402	D₄	—	4	4	no	—
1403	D₄	—	4	4	no	—
1404	D₄	—	8	2	no	—
1405	D₄	—	8	2	no	—
1406	D₄	—	8	2	no	—
1407	D₄	—	8	2	no	—
1408	D₄	—	8	2	no	—
1409	D₄	—	8	2	no	—
1410	D₄	—	8	2	no	—
1411	D₄	—	8	2	no	—
1412	D₄	—	8	2	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	4	4	no	—
1482	C₂×C₄	—	4	4	no	—
1483	C₂×C₄	—	8	2	no	—
1484	C₂×C₄	—	8	2	no	—
1485	C₂×C₄	—	8	2	no	—
1486	C₂×C₄	—	8	2	no	—
1487	C₂×C₄	—	8	2	no	—
1488	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1489	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1490	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1491	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1492	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1493	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1494	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1495	C₂×C₃	—	4	2	no	—
1496	C₂×C₃	—	4	2	no	—
1497	C₂×C₃	—	8	1	no	—
1498	C₂×C₃	—	8	1	no	—
1499	C₂×C₃	—	8	1	no	—
1500	C₂×C₃	—	8	1	no	—
1501	C₂×C₃	#3460	1	1	yes	characteristic
1502	C₂×C₃	#3475	1	1	yes	characteristic
1503	C₂×C₃	#3514	1	1	yes	characteristic
1504	C₂×C₃	#3519	1	1	yes	characteristic
1505	C₂×C₃	#3519	1	1	yes	characteristic
1506	C₂×C₃	#3558	1	1	yes	characteristic
1507	C₂×C₃	#3562	1	1	yes	characteristic
1508	C₂²	—	2	2	no	—
1509	C₂²	—	2	2	no	—
1510	C₂²	—	2	2	no	—
1511	C₂²	—	2	2	no	—
1512	C₂²	—	2	2	no	—
1513	C₂²	—	2	2	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	4	1	no	—
1518	C₂²	—	4	1	no	—
1519	C₂²	—	4	1	no	—
1520	C₂²	—	4	1	no	—
1521	C₂²	—	4	1	no	—
1522	C₂²	—	4	1	no	—
1523	C₂²	—	4	1	no	—
1524	C₂²	—	4	1	no	—
1525	C₂²	—	4	1	no	—
1526	C₂²	—	4	1	no	—
1527	C₂²	—	4	1	no	—
1528	C₂²	—	4	1	no	—
1529	C₂²	—	4	1	no	—
1530	C₂²	—	4	1	no	—
1531	C₂²	—	4	1	no	—
1532	C₂²	—	4	1	no	—
1533	C₂²	—	4	1	no	—
1534	C₂²	—	4	1	no	—
1535	C₂²	—	4	1	no	—
1536	C₂²	—	4	1	no	—
1537	C₂²	—	4	1	no	—
1538	C₂²	—	4	1	no	—
1539	C₂²	—	4	1	no	—
1540	C₂²	—	4	1	no	—
1541	C₂²	—	4	1	no	—
1542	C₂²	—	4	1	no	—
1543	C₂²	—	4	1	no	—
1544	C₂²	—	4	1	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	4	1	no	—
1547	C₂²	—	4	1	no	—
1548	C₂²	—	4	1	no	—
1549	C₂²	—	4	1	no	—
1550	C₂²	—	8	8	no	—
1551	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1552	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1553	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1554	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1555	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1556	C₂²	C₃×#585	1	1	yes	characteristic
1557	C₂²	C₃×#585	1	1	yes	characteristic
1558	C₄	—	2	2	no	—
1559	C₄	—	2	2	no	—
1560	C₄	—	2	2	no	—
1561	C₄	—	2	2	no	—
1562	C₄	—	2	2	no	—
1563	C₄	—	2	2	no	—
1564	C₄	—	2	2	no	—
1565	C₄	—	4	1	no	—
1566	C₄	—	4	1	no	—
1567	C₄	—	4	1	no	—
1568	C₄	—	4	1	no	—
1569	C₄	—	4	1	no	—
1570	C₄	—	4	1	no	—
1571	C₄	—	4	1	no	—
1572	C₄	—	4	1	no	—
1573	C₄	—	4	1	no	—
1574	C₄	—	4	1	no	—
1575	C₄	—	4	1	no	—
1576	C₄	—	4	1	no	—
1577	C₄	—	4	1	no	—
1578	C₄	—	4	1	no	—
1579	C₄	—	4	1	no	—
1580	C₄	—	4	1	no	—
1581	C₄	—	4	1	no	—
1582	C₄	—	4	1	no	—
1583	C₃	#38334	1	1	yes	characteristic, direct product factor, Sylow
1584	C₂	—	4	2	no	—
1585	C₂	—	4	2	no	—
1586	C₂	—	8	1	no	—
1587	C₂	—	8	1	no	—
1588	C₂	—	8	1	no	—
1589	C₂	—	8	1	no	—
1590	C₂	C₃×#3460	1	1	yes	characteristic
1591	C₂	C₃×#3475	1	1	yes	characteristic
1592	C₂	C₃×#3514	1	1	yes	characteristic
1593	C₂	C₃×#3519	1	1	yes	characteristic
1594	C₂	C₃×#3519	1	1	yes	characteristic
1595	C₂	C₃×#3558	1	1	yes	characteristic
1596	C₂	C₃×#3562	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
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×#2861	C₂	semidirect
2. C₃×#2803	C₂	semidirect
3. C₃×#2788	C₂	semidirect
4. C₃×#2772	C₂	semidirect
5. C₃×#2753	C₂	semidirect
6. C₃×#2730	C₂	semidirect
7. C₃×#2678	C₂	semidirect
8. C₃×#2672	C₂	semidirect
9. C₃×#2670	C₂	semidirect
10. C₃×#2648	C₂	semidirect
11. C₃×#2648	C₂	semidirect
12. C₃×#2558	C₂	semidirect
13. C₃×#2555	C₂	semidirect
14. C₃×#2516	C₂	semidirect
15. C₃×#2477	C₂	semidirect
16. C₃×#2474	C₂	semidirect
17. C₃×#2472	C₂	semidirect
18. C₃×#2465	C₂	semidirect
19. C₃×#2464	C₂	semidirect
20. C₃×#2460	C₂	semidirect
21. C₃×#2459	C₂	semidirect
22. C₃×#2426	C₂	semidirect
23. C₃×#2424	C₂	semidirect
24. C₃×#2414	C₂	semidirect
25. C₃×#2411	C₂	semidirect
26. C₃×#2374	C₂	semidirect
27. C₃×#2358	C₂	semidirect
28. C₃×#2333	C₂	semidirect
29. C₃×#2312	C₂	semidirect
30. C₃×C₄×#124	C₂	semidirect
31. C₃×#2293	C₂	semidirect
32. #38334	C₃	direct (N × H)
33. C₂×C₃×#125	C₂²	semidirect
37. C₂×C₃×#124	C₂²	semidirect
41. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
45. C₂×C₃×#121	C₂²	semidirect
49. C₂×C₃×C₄×Q₈	C₂²	semidirect
54. C₂×C₃×#117	C₂²	semidirect
57. C₃×#400	C₂²	semidirect
58. C₃×#400	C₂²	semidirect
59. C₃×#400	C₂²	semidirect
60. C₃×#399	C₂²	semidirect
61. C₃×#398	C₂²	semidirect
64. C₃×#397	C₂²	semidirect
65. C₃×#397	C₂²	semidirect
66. C₃×#397	C₂²	semidirect
71. C₃×#396	C₂²	semidirect
72. C₃×#396	C₂²	semidirect
73. C₃×#395	C₂²	semidirect
74. C₃×#395	C₂²	semidirect
85. C₃×#394	C₂²	semidirect
86. C₃×#394	C₂²	semidirect
87. C₃×#394	C₂²	semidirect
88. C₃×#394	C₂²	semidirect
97. C₃×#391	C₂²	semidirect
98. C₃×#391	C₂²	semidirect
99. C₃×#391	C₂²	semidirect
109. C₃×#390	C₂²	semidirect
110. C₃×#390	C₂²	semidirect
111. C₃×#389	C₂²	semidirect
112. C₃×#389	C₂²	semidirect
113. C₃×#389	C₂²	semidirect
114. C₃×#389	C₂²	semidirect
133. C₃×#388	C₂²	semidirect
134. C₃×#388	C₂²	semidirect
135. C₃×#388	C₂²	semidirect
136. C₃×#388	C₂²	semidirect
137. C₃×#388	C₂²	semidirect
138. C₃×#388	C₂²	semidirect
139. C₃×#388	C₂²	semidirect
140. C₃×#388	C₂²	semidirect
141. C₃×#388	C₂²	semidirect
142. C₃×#388	C₂²	semidirect
143. C₃×#388	C₂²	semidirect
144. C₃×#388	C₂²	semidirect
145. C₃×#387	C₂²	semidirect
146. C₃×#387	C₂²	semidirect
147. C₃×#387	C₂²	semidirect
148. C₃×#387	C₂²	semidirect
149. C₃×#387	C₂²	semidirect
150. C₃×#387	C₂²	semidirect
151. C₃×#387	C₂²	semidirect
152. C₃×#387	C₂²	semidirect
162. C₃×#386	C₂²	semidirect
163. C₃×#386	C₂²	semidirect
168. C₃×#385	C₂²	semidirect
169. C₃×#382	C₂²	semidirect
170. C₃×#381	C₂²	semidirect
175. C₃×C₄×C₄⋊C₄	C₂²	semidirect
176. C₃×C₄×C₄⋊C₄	C₂²	semidirect
182. C₃×C₄×C₂²⋊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×C₄×C₂²⋊C₄	C₂²	semidirect
187. C₃×C₄³	C₂²	semidirect
188. #2861	C₂×C₃	semidirect
189. #2803	C₂×C₃	semidirect
190. #2788	C₂×C₃	semidirect
191. #2772	C₂×C₃	semidirect
192. #2753	C₂×C₃	semidirect
193. #2730	C₂×C₃	semidirect
194. #2678	C₂×C₃	semidirect
195. #2672	C₂×C₃	semidirect
196. #2670	C₂×C₃	semidirect
197. #2648	C₂×C₃	semidirect
198. #2648	C₂×C₃	semidirect
199. #2558	C₂×C₃	semidirect
200. #2555	C₂×C₃	semidirect
201. #2516	C₂×C₃	semidirect
202. #2477	C₂×C₃	semidirect
203. #2474	C₂×C₃	semidirect
204. #2472	C₂×C₃	semidirect
205. #2465	C₂×C₃	semidirect
206. #2464	C₂×C₃	semidirect
207. #2460	C₂×C₃	semidirect
208. #2459	C₂×C₃	semidirect
209. #2426	C₂×C₃	semidirect
210. #2424	C₂×C₃	semidirect
211. #2414	C₂×C₃	semidirect
212. #2411	C₂×C₃	semidirect
213. #2374	C₂×C₃	semidirect
214. #2358	C₂×C₃	semidirect
215. #2333	C₂×C₃	semidirect
216. #2312	C₂×C₃	semidirect
217. C₄×#124	C₂×C₃	semidirect
218. #2293	C₂×C₃	semidirect
398. C₂×#125	C₂²×C₃	semidirect
402. C₂×#124	C₂²×C₃	semidirect
406. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
410. C₂×#121	C₂²×C₃	semidirect
414. C₂×C₄×Q₈	C₂²×C₃	semidirect
419. C₂×#117	C₂²×C₃	semidirect
422. #400	C₂²×C₃	semidirect
423. #400	C₂²×C₃	semidirect
424. #400	C₂²×C₃	semidirect
425. #399	C₂²×C₃	semidirect
426. #398	C₂²×C₃	semidirect
429. #397	C₂²×C₃	semidirect
430. #397	C₂²×C₃	semidirect
431. #397	C₂²×C₃	semidirect
436. #396	C₂²×C₃	semidirect
437. #396	C₂²×C₃	semidirect
438. #395	C₂²×C₃	semidirect
439. #395	C₂²×C₃	semidirect
450. #394	C₂²×C₃	semidirect
451. #394	C₂²×C₃	semidirect
452. #394	C₂²×C₃	semidirect
453. #394	C₂²×C₃	semidirect
462. #391	C₂²×C₃	semidirect
463. #391	C₂²×C₃	semidirect
464. #391	C₂²×C₃	semidirect
474. #390	C₂²×C₃	semidirect
475. #390	C₂²×C₃	semidirect
476. #389	C₂²×C₃	semidirect
477. #389	C₂²×C₃	semidirect
478. #389	C₂²×C₃	semidirect
479. #389	C₂²×C₃	semidirect
498. #388	C₂²×C₃	semidirect
499. #388	C₂²×C₃	semidirect
500. #388	C₂²×C₃	semidirect
501. #388	C₂²×C₃	semidirect
502. #388	C₂²×C₃	semidirect
503. #388	C₂²×C₃	semidirect
504. #388	C₂²×C₃	semidirect
505. #388	C₂²×C₃	semidirect
506. #388	C₂²×C₃	semidirect
507. #388	C₂²×C₃	semidirect
508. #388	C₂²×C₃	semidirect
509. #388	C₂²×C₃	semidirect
510. #387	C₂²×C₃	semidirect
511. #387	C₂²×C₃	semidirect
512. #387	C₂²×C₃	semidirect
513. #387	C₂²×C₃	semidirect
514. #387	C₂²×C₃	semidirect
515. #387	C₂²×C₃	semidirect
516. #387	C₂²×C₃	semidirect
517. #387	C₂²×C₃	semidirect
527. #386	C₂²×C₃	semidirect
528. #386	C₂²×C₃	semidirect
533. #385	C₂²×C₃	semidirect
534. #382	C₂²×C₃	semidirect
535. #381	C₂²×C₃	semidirect
540. C₄×C₄⋊C₄	C₂²×C₃	semidirect
541. C₄×C₄⋊C₄	C₂²×C₃	semidirect
547. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
548. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
549. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
550. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
551. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
552. C₄³	C₂²×C₃	semidirect
1583. C₃	#38334	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×#2861	2
C₃×#2803	2
C₃×#2788	2
C₃×#2772	2
C₃×#2753	2
C₃×#2730	2
C₃×#2678	2
C₃×#2672	2
C₃×#2670	2
C₃×#2648	2
C₃×#2558	2
C₃×#2555	2
C₃×#2516	2
C₃×#2477	2
C₃×#2474	2
C₃×#2472	2
C₃×#2465	2
C₃×#2464	2
C₃×#2460	2
C₃×#2459	2
C₃×#2426	2
C₃×#2424	2
C₃×#2414	2
C₃×#2411	2
C₃×#2374	2
C₃×#2358	2
C₃×#2333	2
C₃×#2312	2
C₃×C₄×#124	2
C₃×#2293	2
#38334	3

Subgroups — C3×#38334 #10656941

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#38334 #10656941