Subgroups — C₃×#37740 #10656347

Order 768.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1572 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#538	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2853	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2721	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2717	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2717	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2708	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2701	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2697	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2690	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2684	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2663	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2638	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2521	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2496	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2480	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2478	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2474	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2469	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2466	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2465	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2447	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2444	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#2422	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#2419	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2418	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#2418	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2359	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#2342	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#2333	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×C₄×#123	C₂	1	1	yes	maximal, characteristic, complemented
32	#37740	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₃×#538	—	2	8	no	—
34	C₃×#529	—	2	8	no	—
35	C₂×C₃×#126	C₂²	1	1	yes	characteristic
36	C₂×C₃×#126	C₂²	1	1	yes	characteristic
37	C₂×C₃×#126	C₂²	1	1	yes	characteristic
38	C₂×C₃×#126	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃×#124	C₂²	1	1	yes	characteristic
41	C₂×C₃×#124	C₂²	1	1	yes	characteristic
42	C₂×C₃×#124	C₂²	1	1	yes	characteristic
43	C₂×C₃×#123	C₂²	1	1	yes	characteristic
44	C₂×C₃×#123	C₂²	1	1	yes	characteristic
45	C₂×C₃×#123	C₂²	1	1	yes	characteristic
46	C₂×C₃×#123	C₂²	1	1	yes	characteristic
47	C₂×C₃×#123	C₂²	1	1	yes	characteristic
48	C₂×C₃×#123	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
50	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₃×#121	C₂²	1	1	yes	characteristic
52	C₂×C₃×#121	C₂²	1	1	yes	characteristic
53	C₂×C₃×#121	C₂²	1	1	yes	characteristic
54	C₂×C₃×#120	C₂²	1	1	yes	characteristic
55	C₂×C₃×#120	C₂²	1	1	yes	characteristic
56	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
58	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
59	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
60	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
61	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₃×#117	C₂²	1	1	yes	characteristic
63	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
64	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
65	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
66	C₂²×C₃×C₄²	C₂²	1	1	yes	characteristic, complemented
67	C₃×#400	C₂²	1	1	yes	characteristic, complemented
68	C₃×#400	C₂²	1	1	yes	characteristic, complemented
69	C₃×#400	C₂²	1	1	yes	characteristic, complemented
70	C₃×#399	C₂²	1	1	yes	characteristic
71	C₃×#399	C₂²	1	1	yes	characteristic
72	C₃×#398	C₂²	1	1	yes	characteristic, complemented
73	C₃×#398	C₂²	1	1	yes	characteristic, complemented
74	C₃×#398	C₂²	1	1	yes	characteristic, complemented
75	C₃×#397	C₂²	1	1	yes	characteristic
76	C₃×#397	C₂²	1	1	yes	characteristic
77	C₃×#397	C₂²	1	1	yes	characteristic
78	C₃×#397	C₂²	1	1	yes	characteristic
79	C₃×#397	C₂²	1	1	yes	characteristic
80	C₃×#397	C₂²	1	1	yes	characteristic
81	C₃×#397	C₂²	1	1	yes	characteristic
82	C₃×#397	C₂²	1	1	yes	characteristic
83	C₃×#397	C₂²	1	1	yes	characteristic
84	C₃×#397	C₂²	1	1	yes	characteristic, complemented
85	C₃×#397	C₂²	1	1	yes	characteristic, complemented
86	C₃×#397	C₂²	1	1	yes	characteristic, complemented
87	C₃×#397	C₂²	1	1	yes	characteristic, complemented
88	C₃×#397	C₂²	1	1	yes	characteristic, complemented
89	C₃×#397	C₂²	1	1	yes	characteristic, complemented
90	C₃×#396	C₂²	1	1	yes	characteristic
91	C₃×#396	C₂²	1	1	yes	characteristic
92	C₃×#396	C₂²	1	1	yes	characteristic
93	C₃×#395	C₂²	1	1	yes	characteristic, complemented
94	C₃×#395	C₂²	1	1	yes	characteristic, complemented
95	C₃×#395	C₂²	1	1	yes	characteristic, complemented
96	C₃×#395	C₂²	1	1	yes	characteristic, complemented
97	C₃×#394	C₂²	1	1	yes	characteristic
98	C₃×#394	C₂²	1	1	yes	characteristic
99	C₃×#394	C₂²	1	1	yes	characteristic
100	C₃×#394	C₂²	1	1	yes	characteristic
101	C₃×#394	C₂²	1	1	yes	characteristic
102	C₃×#394	C₂²	1	1	yes	characteristic
103	C₃×#394	C₂²	1	1	yes	characteristic
104	C₃×#394	C₂²	1	1	yes	characteristic
105	C₃×#393	C₂²	1	1	yes	characteristic
106	C₃×#393	C₂²	1	1	yes	characteristic
107	C₃×#391	C₂²	1	1	yes	characteristic, complemented
108	C₃×#391	C₂²	1	1	yes	characteristic, complemented
109	C₃×#390	C₂²	1	1	yes	characteristic
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×#389	C₂²	1	1	yes	characteristic, complemented
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, 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×#387	C₂²	1	1	yes	characteristic, complemented
137	C₃×#387	C₂²	1	1	yes	characteristic, complemented
138	C₃×#387	C₂²	1	1	yes	characteristic, complemented
139	C₃×#387	C₂²	1	1	yes	characteristic, complemented
140	C₃×#387	C₂²	1	1	yes	characteristic, complemented
141	C₃×#387	C₂²	1	1	yes	characteristic, complemented
142	C₃×#387	C₂²	1	1	yes	characteristic, complemented
143	C₃×#387	C₂²	1	1	yes	characteristic, complemented
144	C₃×#387	C₂²	1	1	yes	characteristic, complemented
145	C₃×#386	C₂²	1	1	yes	characteristic
146	C₃×#386	C₂²	1	1	yes	characteristic
147	C₃×#386	C₂²	1	1	yes	characteristic
148	C₃×#386	C₂²	1	1	yes	characteristic
149	C₃×#386	C₂²	1	1	yes	characteristic
150	C₃×#386	C₂²	1	1	yes	characteristic
151	C₃×#386	C₂²	1	1	yes	characteristic
152	C₃×#386	C₂²	1	1	yes	characteristic
153	C₃×#386	C₂²	1	1	yes	characteristic
154	C₃×#386	C₂²	1	1	yes	characteristic, complemented
155	C₃×#385	C₂²	1	1	yes	characteristic
156	C₃×#385	C₂²	1	1	yes	characteristic
157	C₃×#385	C₂²	1	1	yes	characteristic
158	C₃×#385	C₂²	1	1	yes	characteristic
159	C₃×#385	C₂²	1	1	yes	characteristic
160	C₃×#385	C₂²	1	1	yes	characteristic
161	C₃×#385	C₂²	1	1	yes	characteristic, complemented
162	C₃×#385	C₂²	1	1	yes	characteristic, complemented
163	C₃×#385	C₂²	1	1	yes	characteristic, complemented
164	C₃×#385	C₂²	1	1	yes	characteristic, complemented
165	C₃×#385	C₂²	1	1	yes	characteristic, complemented
166	C₃×#385	C₂²	1	1	yes	characteristic, complemented
167	C₃×#384	C₂²	1	1	yes	characteristic, complemented
168	C₃×#381	C₂²	1	1	yes	characteristic
169	C₃×#381	C₂²	1	1	yes	characteristic, complemented
170	C₃×#381	C₂²	1	1	yes	characteristic, complemented
171	C₃×#381	C₂²	1	1	yes	characteristic, complemented
172	C₃×#380	C₂²	1	1	yes	characteristic
173	C₃×#380	C₂²	1	1	yes	characteristic
174	C₃×#380	C₂²	1	1	yes	characteristic
175	C₃×#380	C₂²	1	1	yes	characteristic
176	C₃×#380	C₂²	1	1	yes	characteristic, complemented
177	C₃×#379	C₂²	1	1	yes	characteristic
178	C₃×#379	C₂²	1	1	yes	characteristic
179	C₃×#379	C₂²	1	1	yes	characteristic
180	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
181	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
184	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
185	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
186	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
187	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
188	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
189	C₂×C₃×#95	C₂²	1	1	yes	characteristic, complemented
190	C₂×#538	C₂×C₃	1	1	yes	characteristic
191	C₂×#529	C₂×C₃	1	1	yes	characteristic, complemented
192	#2853	C₂×C₃	1	1	yes	characteristic, complemented
193	#2721	C₂×C₃	1	1	yes	characteristic, complemented
194	#2717	C₂×C₃	1	1	yes	characteristic, complemented
195	#2717	C₂×C₃	1	1	yes	characteristic, complemented
196	#2708	C₂×C₃	1	1	yes	characteristic, complemented
197	#2701	C₂×C₃	1	1	yes	characteristic, complemented
198	#2697	C₂×C₃	1	1	yes	characteristic, complemented
199	#2690	C₂×C₃	1	1	yes	characteristic, complemented
200	#2684	C₂×C₃	1	1	yes	characteristic, complemented
201	#2663	C₂×C₃	1	1	yes	characteristic, complemented
202	#2638	C₂×C₃	1	1	yes	characteristic, complemented
203	#2521	C₂×C₃	1	1	yes	characteristic, complemented
204	#2496	C₂×C₃	1	1	yes	characteristic, complemented
205	#2480	C₂×C₃	1	1	yes	characteristic, complemented
206	#2478	C₂×C₃	1	1	yes	characteristic, complemented
207	#2474	C₂×C₃	1	1	yes	characteristic, complemented
208	#2469	C₂×C₃	1	1	yes	characteristic, complemented
209	#2466	C₂×C₃	1	1	yes	characteristic, complemented
210	#2465	C₂×C₃	1	1	yes	characteristic, complemented
211	#2447	C₂×C₃	1	1	yes	characteristic, complemented
212	#2444	C₂×C₃	1	1	yes	characteristic, complemented
213	#2422	C₂×C₃	1	1	yes	characteristic, complemented
214	#2419	C₂×C₃	1	1	yes	characteristic, complemented
215	#2418	C₂×C₃	1	1	yes	characteristic, complemented
216	#2418	C₂×C₃	1	1	yes	characteristic, complemented
217	#2359	C₂×C₃	1	1	yes	characteristic, complemented
218	#2342	C₂×C₃	1	1	yes	characteristic, complemented
219	#2333	C₂×C₃	1	1	yes	characteristic, complemented
220	C₄×#123	C₂×C₃	1	1	yes	characteristic, complemented
221	C₂⁵×C₃	C₂³	1	1	yes	characteristic
222	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
223	C₂²×C₃×Q₈	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	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
232	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
233	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
234	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
235	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
236	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
237	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
238	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×#126	—	2	4	no	—
242	C₃×#126	—	2	4	no	—
243	C₃×#126	—	2	4	no	—
244	C₃×#126	—	2	4	no	—
245	C₃×#125	—	2	4	no	—
246	C₃×#124	—	2	4	no	—
247	C₃×#124	—	2	4	no	—
248	C₃×#124	—	2	4	no	—
249	C₃×#123	—	2	4	no	—
250	C₃×#123	—	2	4	no	—
251	C₃×#123	—	2	4	no	—
252	C₃×#123	—	2	4	no	—
253	C₃×#123	—	2	4	no	—
254	C₃×#123	—	2	4	no	—
255	C₃×C₂²⋊Q₈	—	2	4	no	—
256	C₃×C₂²⋊Q₈	—	2	4	no	—
257	C₃×#121	—	2	4	no	—
258	C₃×#121	—	2	4	no	—
259	C₃×#121	D₄	1	8	yes	—
260	C₃×#120	—	2	4	no	—
261	C₃×#120	—	2	4	no	—
262	C₃×C₄×Q₈	—	2	4	no	—
263	C₃×C₄×D₄	—	2	4	no	—
264	C₃×C₄×D₄	—	2	4	no	—
265	C₃×C₄×D₄	—	2	4	no	—
266	C₃×C₄×D₄	—	2	4	no	—
267	C₃×C₄×D₄	—	2	4	no	—
268	C₃×#117	—	2	4	no	—
269	C₃×#117	—	2	4	no	—
270	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
304	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
348	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
349	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
350	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
351	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
352	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
353	C₂×C₃×C₄²	—	2	4	no	—
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	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
363	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
364	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
365	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
366	C₃×#95	C₂³	1	1	yes	characteristic
367	C₃×#95	C₂³	1	1	yes	characteristic
368	C₃×#95	C₂³	1	1	yes	characteristic
369	C₃×#95	C₂³	1	1	yes	characteristic
370	C₃×#95	C₂³	1	1	yes	characteristic
371	C₃×#95	C₂³	1	1	yes	characteristic
372	C₃×#95	C₂³	1	1	yes	characteristic
373	C₃×#95	C₂³	1	1	yes	characteristic
374	C₃×#95	C₂³	1	1	yes	characteristic
375	C₃×#95	C₂³	1	1	yes	characteristic
376	C₃×#95	C₂³	1	1	yes	characteristic
377	C₃×#95	C₂³	1	1	yes	characteristic
378	C₃×#95	C₂³	1	1	yes	characteristic
379	C₃×#95	C₂³	1	1	yes	characteristic
380	C₃×#95	C₂³	1	1	yes	characteristic
381	C₃×#95	C₂³	1	1	yes	characteristic
382	C₃×#95	C₂³	1	1	yes	characteristic
383	C₃×#95	C₂³	1	1	yes	characteristic
384	C₃×#95	C₂³	1	1	yes	characteristic
385	C₃×#95	C₂³	1	1	yes	characteristic
386	C₃×#95	C₂³	1	1	yes	characteristic
387	C₃×#95	C₂³	1	1	yes	characteristic
388	C₃×#95	C₂³	1	1	yes	characteristic
389	C₃×#95	C₂³	1	1	yes	characteristic
390	C₃×#95	C₂³	1	1	yes	characteristic
391	C₃×#95	C₂³	1	1	yes	characteristic
392	C₃×#95	C₂³	1	1	yes	characteristic
393	C₃×#95	C₂³	1	1	yes	characteristic
394	C₃×#95	C₂³	1	1	yes	characteristic
395	C₃×#95	C₂³	1	1	yes	characteristic
396	C₃×#95	C₂³	1	1	yes	characteristic
397	C₃×#95	C₂³	1	1	yes	characteristic
398	C₃×#95	C₂³	1	1	yes	characteristic
399	C₃×#95	C₂³	1	1	yes	characteristic
400	C₃×#95	C₂³	1	1	yes	characteristic
401	C₃×#95	C₂³	1	1	yes	characteristic
402	C₃×#95	C₂³	1	1	yes	characteristic
403	C₃×#95	C₂³	1	1	yes	characteristic
404	C₃×#95	C₂³	1	1	yes	characteristic
405	C₃×#95	C₂³	1	1	yes	characteristic
406	C₃×#95	C₂³	1	1	yes	characteristic
407	C₃×#95	C₂³	1	1	yes	characteristic
408	#538	—	2	8	no	—
409	#529	—	2	8	no	—
410	C₂×#126	C₂²×C₃	1	1	yes	characteristic
411	C₂×#126	C₂²×C₃	1	1	yes	characteristic
412	C₂×#126	C₂²×C₃	1	1	yes	characteristic
413	C₂×#126	C₂²×C₃	1	1	yes	characteristic, complemented
414	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
415	C₂×#124	C₂²×C₃	1	1	yes	characteristic
416	C₂×#124	C₂²×C₃	1	1	yes	characteristic
417	C₂×#124	C₂²×C₃	1	1	yes	characteristic
418	C₂×#123	C₂²×C₃	1	1	yes	characteristic
419	C₂×#123	C₂²×C₃	1	1	yes	characteristic
420	C₂×#123	C₂²×C₃	1	1	yes	characteristic
421	C₂×#123	C₂²×C₃	1	1	yes	characteristic
422	C₂×#123	C₂²×C₃	1	1	yes	characteristic
423	C₂×#123	C₂²×C₃	1	1	yes	characteristic, complemented
424	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
425	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
426	C₂×#121	C₂²×C₃	1	1	yes	characteristic
427	C₂×#121	C₂²×C₃	1	1	yes	characteristic
428	C₂×#121	C₂²×C₃	1	1	yes	characteristic
429	C₂×#120	C₂²×C₃	1	1	yes	characteristic
430	C₂×#120	C₂²×C₃	1	1	yes	characteristic
431	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
432	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
433	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
434	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
435	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
436	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
437	C₂×#117	C₂²×C₃	1	1	yes	characteristic
438	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
439	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
440	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
441	C₂²×C₄²	C₂²×C₃	1	1	yes	characteristic, complemented
442	#400	C₂²×C₃	1	1	yes	characteristic, complemented
443	#400	C₂²×C₃	1	1	yes	characteristic, complemented
444	#400	C₂²×C₃	1	1	yes	characteristic, complemented
445	#399	C₂²×C₃	1	1	yes	characteristic
446	#399	C₂²×C₃	1	1	yes	characteristic
447	#398	C₂²×C₃	1	1	yes	characteristic, complemented
448	#398	C₂²×C₃	1	1	yes	characteristic, complemented
449	#398	C₂²×C₃	1	1	yes	characteristic, complemented
450	#397	C₂²×C₃	1	1	yes	characteristic
451	#397	C₂²×C₃	1	1	yes	characteristic
452	#397	C₂²×C₃	1	1	yes	characteristic
453	#397	C₂²×C₃	1	1	yes	characteristic
454	#397	C₂²×C₃	1	1	yes	characteristic
455	#397	C₂²×C₃	1	1	yes	characteristic
456	#397	C₂²×C₃	1	1	yes	characteristic
457	#397	C₂²×C₃	1	1	yes	characteristic
458	#397	C₂²×C₃	1	1	yes	characteristic
459	#397	C₂²×C₃	1	1	yes	characteristic, complemented
460	#397	C₂²×C₃	1	1	yes	characteristic, complemented
461	#397	C₂²×C₃	1	1	yes	characteristic, complemented
462	#397	C₂²×C₃	1	1	yes	characteristic, complemented
463	#397	C₂²×C₃	1	1	yes	characteristic, complemented
464	#397	C₂²×C₃	1	1	yes	characteristic, complemented
465	#396	C₂²×C₃	1	1	yes	characteristic
466	#396	C₂²×C₃	1	1	yes	characteristic
467	#396	C₂²×C₃	1	1	yes	characteristic
468	#395	C₂²×C₃	1	1	yes	characteristic, complemented
469	#395	C₂²×C₃	1	1	yes	characteristic, complemented
470	#395	C₂²×C₃	1	1	yes	characteristic, complemented
471	#395	C₂²×C₃	1	1	yes	characteristic, complemented
472	#394	C₂²×C₃	1	1	yes	characteristic
473	#394	C₂²×C₃	1	1	yes	characteristic
474	#394	C₂²×C₃	1	1	yes	characteristic
475	#394	C₂²×C₃	1	1	yes	characteristic
476	#394	C₂²×C₃	1	1	yes	characteristic
477	#394	C₂²×C₃	1	1	yes	characteristic
478	#394	C₂²×C₃	1	1	yes	characteristic
479	#394	C₂²×C₃	1	1	yes	characteristic
480	#393	C₂²×C₃	1	1	yes	characteristic
481	#393	C₂²×C₃	1	1	yes	characteristic
482	#391	C₂²×C₃	1	1	yes	characteristic, complemented
483	#391	C₂²×C₃	1	1	yes	characteristic, complemented
484	#390	C₂²×C₃	1	1	yes	characteristic
485	#390	C₂²×C₃	1	1	yes	characteristic, complemented
486	#389	C₂²×C₃	1	1	yes	characteristic, complemented
487	#389	C₂²×C₃	1	1	yes	characteristic, complemented
488	#389	C₂²×C₃	1	1	yes	characteristic, complemented
489	#389	C₂²×C₃	1	1	yes	characteristic, complemented
490	#389	C₂²×C₃	1	1	yes	characteristic, complemented
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
499	#388	C₂²×C₃	1	1	yes	characteristic
500	#388	C₂²×C₃	1	1	yes	characteristic
501	#388	C₂²×C₃	1	1	yes	characteristic
502	#388	C₂²×C₃	1	1	yes	characteristic
503	#388	C₂²×C₃	1	1	yes	characteristic
504	#388	C₂²×C₃	1	1	yes	characteristic
505	#388	C₂²×C₃	1	1	yes	characteristic
506	#388	C₂²×C₃	1	1	yes	characteristic, complemented
507	#387	C₂²×C₃	1	1	yes	characteristic, complemented
508	#387	C₂²×C₃	1	1	yes	characteristic, complemented
509	#387	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	#387	C₂²×C₃	1	1	yes	characteristic, complemented
519	#387	C₂²×C₃	1	1	yes	characteristic, complemented
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
528	#386	C₂²×C₃	1	1	yes	characteristic
529	#386	C₂²×C₃	1	1	yes	characteristic, complemented
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
534	#385	C₂²×C₃	1	1	yes	characteristic
535	#385	C₂²×C₃	1	1	yes	characteristic
536	#385	C₂²×C₃	1	1	yes	characteristic, complemented
537	#385	C₂²×C₃	1	1	yes	characteristic, complemented
538	#385	C₂²×C₃	1	1	yes	characteristic, complemented
539	#385	C₂²×C₃	1	1	yes	characteristic, complemented
540	#385	C₂²×C₃	1	1	yes	characteristic, complemented
541	#385	C₂²×C₃	1	1	yes	characteristic, complemented
542	#384	C₂²×C₃	1	1	yes	characteristic, complemented
543	#381	C₂²×C₃	1	1	yes	characteristic
544	#381	C₂²×C₃	1	1	yes	characteristic, complemented
545	#381	C₂²×C₃	1	1	yes	characteristic, complemented
546	#381	C₂²×C₃	1	1	yes	characteristic, complemented
547	#380	C₂²×C₃	1	1	yes	characteristic
548	#380	C₂²×C₃	1	1	yes	characteristic
549	#380	C₂²×C₃	1	1	yes	characteristic
550	#380	C₂²×C₃	1	1	yes	characteristic
551	#380	C₂²×C₃	1	1	yes	characteristic, complemented
552	#379	C₂²×C₃	1	1	yes	characteristic
553	#379	C₂²×C₃	1	1	yes	characteristic
554	#379	C₂²×C₃	1	1	yes	characteristic
555	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
556	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
557	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
558	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
559	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
560	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
561	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
562	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
563	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
564	C₂×#95	C₂²×C₃	1	1	yes	characteristic, complemented
565	C₂⁴×C₃	—	2	2	no	—
566	C₂⁴×C₃	—	2	2	no	—
567	C₂⁴×C₃	—	4	1	no	—
568	C₂⁴×C₃	—	4	1	no	—
569	C₂⁴×C₃	—	4	1	no	—
570	C₂⁴×C₃	—	4	1	no	—
571	C₂⁴×C₃	—	4	1	no	—
572	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
573	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
574	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
575	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
576	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₃×Q₈	—	2	2	no	—
578	C₂×C₃×Q₈	—	2	2	no	—
579	C₂×C₃×Q₈	—	4	1	no	—
580	C₂×C₃×Q₈	—	4	1	no	—
581	C₂×C₃×Q₈	—	4	1	no	—
582	C₂×C₃×Q₈	—	4	1	no	—
583	C₂×C₃×D₄	—	2	2	no	—
584	C₂×C₃×D₄	—	2	2	no	—
585	C₂×C₃×D₄	—	2	2	no	—
586	C₂×C₃×D₄	—	2	2	no	—
587	C₂×C₃×D₄	—	2	2	no	—
588	C₂×C₃×D₄	—	2	2	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	C₂×D₄	1	4	yes	—
602	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
603	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
604	C₂²×C₃×C₄	—	2	2	no	—
605	C₂²×C₃×C₄	—	2	2	no	—
606	C₂²×C₃×C₄	—	2	2	no	—
607	C₂²×C₃×C₄	—	2	2	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	—	4	1	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	—	4	1	no	—
630	C₂²×C₃×C₄	—	4	1	no	—
631	C₂²×C₃×C₄	—	4	1	no	—
632	C₂²×C₃×C₄	—	4	1	no	—
633	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
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	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
655	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
656	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
657	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
658	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
659	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
665	C₃×C₄⋊C₄	—	2	2	no	—
666	C₃×C₄⋊C₄	—	2	2	no	—
667	C₃×C₄⋊C₄	—	2	2	no	—
668	C₃×C₄⋊C₄	—	2	2	no	—
669	C₃×C₄⋊C₄	—	2	2	no	—
670	C₃×C₄⋊C₄	—	2	2	no	—
671	C₃×C₄⋊C₄	—	2	2	no	—
672	C₃×C₄⋊C₄	—	2	2	no	—
673	C₃×C₄⋊C₄	—	2	2	no	—
674	C₃×C₄⋊C₄	—	2	2	no	—
675	C₃×C₄⋊C₄	—	2	2	no	—
676	C₃×C₄⋊C₄	—	2	2	no	—
677	C₃×C₄⋊C₄	—	2	2	no	—
678	C₃×C₄⋊C₄	—	4	1	no	—
679	C₃×C₄⋊C₄	—	4	1	no	—
680	C₃×C₄⋊C₄	—	4	1	no	—
681	C₃×C₄⋊C₄	—	4	1	no	—
682	C₃×C₄⋊C₄	—	4	1	no	—
683	C₃×C₄⋊C₄	—	4	1	no	—
684	C₃×C₄⋊C₄	—	4	1	no	—
685	C₃×C₄⋊C₄	—	4	1	no	—
686	C₃×C₄⋊C₄	—	4	1	no	—
687	C₃×C₄⋊C₄	—	4	1	no	—
688	C₃×C₄⋊C₄	—	4	1	no	—
689	C₃×C₄⋊C₄	—	4	1	no	—
690	C₃×C₄⋊C₄	—	4	1	no	—
691	C₃×C₄⋊C₄	—	4	1	no	—
692	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
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	—	2	2	no	—
705	C₃×C₂²⋊C₄	—	2	2	no	—
706	C₃×C₂²⋊C₄	—	2	2	no	—
707	C₃×C₂²⋊C₄	—	2	2	no	—
708	C₃×C₂²⋊C₄	—	2	2	no	—
709	C₃×C₂²⋊C₄	—	2	2	no	—
710	C₃×C₂²⋊C₄	—	2	2	no	—
711	C₃×C₂²⋊C₄	—	2	2	no	—
712	C₃×C₂²⋊C₄	—	2	2	no	—
713	C₃×C₂²⋊C₄	—	2	2	no	—
714	C₃×C₂²⋊C₄	—	2	2	no	—
715	C₃×C₂²⋊C₄	—	2	2	no	—
716	C₃×C₂²⋊C₄	—	2	2	no	—
717	C₃×C₂²⋊C₄	—	2	2	no	—
718	C₃×C₂²⋊C₄	—	2	2	no	—
719	C₃×C₂²⋊C₄	—	2	2	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	—	4	1	no	—
735	C₃×C₂²⋊C₄	—	4	1	no	—
736	C₃×C₂²⋊C₄	—	4	1	no	—
737	C₃×C₂²⋊C₄	—	4	1	no	—
738	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
739	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
740	C₃×C₂²⋊C₄	#41	1	4	yes	—
741	C₃×C₄²	—	2	2	no	—
742	C₃×C₄²	—	2	2	no	—
743	C₃×C₄²	—	2	2	no	—
744	C₃×C₄²	—	2	2	no	—
745	C₃×C₄²	—	2	2	no	—
746	C₃×C₄²	—	2	2	no	—
747	C₃×C₄²	—	2	2	no	—
748	C₃×C₄²	—	2	2	no	—
749	C₃×C₄²	—	4	1	no	—
750	C₃×C₄²	—	4	1	no	—
751	C₃×C₄²	—	4	1	no	—
752	C₃×C₄²	—	4	1	no	—
753	C₂⁵	C₂³×C₃	1	1	yes	characteristic
754	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
755	C₂²×Q₈	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	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
764	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
765	C₂³×C₄	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	#126	—	2	4	no	—
774	#126	—	2	4	no	—
775	#126	—	2	4	no	—
776	#126	—	2	4	no	—
777	#125	—	2	4	no	—
778	#124	—	2	4	no	—
779	#124	—	2	4	no	—
780	#124	—	2	4	no	—
781	#123	—	2	4	no	—
782	#123	—	2	4	no	—
783	#123	—	2	4	no	—
784	#123	—	2	4	no	—
785	#123	—	2	4	no	—
786	#123	—	2	4	no	—
787	C₂²⋊Q₈	—	2	4	no	—
788	C₂²⋊Q₈	—	2	4	no	—
789	#121	—	2	4	no	—
790	#121	—	2	4	no	—
791	#121	C₃×D₄	1	8	yes	—
792	#120	—	2	4	no	—
793	#120	—	2	4	no	—
794	C₄×Q₈	—	2	4	no	—
795	C₄×D₄	—	2	4	no	—
796	C₄×D₄	—	2	4	no	—
797	C₄×D₄	—	2	4	no	—
798	C₄×D₄	—	2	4	no	—
799	C₄×D₄	—	2	4	no	—
800	#117	—	2	4	no	—
801	#117	—	2	4	no	—
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×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
822	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
823	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
824	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
825	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
826	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
827	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
828	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
829	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
830	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
831	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
832	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
833	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
834	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
835	C₂×C₂²⋊C₄	—	2	4	no	—
836	C₂×C₂²⋊C₄	—	2	4	no	—
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×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
880	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
881	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
882	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
883	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
884	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
885	C₂×C₄²	—	2	4	no	—
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	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
895	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
896	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
897	C₂×C₄²	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	#95	C₂³×C₃	1	1	yes	characteristic
931	#95	C₂³×C₃	1	1	yes	characteristic
932	#95	C₂³×C₃	1	1	yes	characteristic
933	#95	C₂³×C₃	1	1	yes	characteristic
934	#95	C₂³×C₃	1	1	yes	characteristic
935	#95	C₂³×C₃	1	1	yes	characteristic
936	#95	C₂³×C₃	1	1	yes	characteristic
937	#95	C₂³×C₃	1	1	yes	characteristic
938	#95	C₂³×C₃	1	1	yes	characteristic
939	#95	C₂³×C₃	1	1	yes	characteristic
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	—	2	1	no	—
971	C₂³×C₃	—	4	4	no	—
972	C₂³×C₃	—	4	4	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	—	8	2	no	—
978	C₂³×C₃	C₂²×D₄	1	2	yes	—
979	C₂³×C₃	C₂²×D₄	1	2	yes	—
980	C₂³×C₃	C₂²×D₄	1	2	yes	—
981	C₂³×C₃	C₂×#41	1	2	yes	—
982	C₂³×C₃	C₂⁵	1	1	yes	characteristic
983	C₃×Q₈	—	4	4	no	—
984	C₃×Q₈	—	8	2	no	—
985	C₃×D₄	—	4	4	no	—
986	C₃×D₄	—	4	4	no	—
987	C₃×D₄	—	4	4	no	—
988	C₃×D₄	—	4	4	no	—
989	C₃×D₄	—	4	4	no	—
990	C₃×D₄	—	8	2	no	—
991	C₃×D₄	—	8	2	no	—
992	C₂×C₃×C₄	—	2	1	no	—
993	C₂×C₃×C₄	—	2	1	no	—
994	C₂×C₃×C₄	—	2	1	no	—
995	C₂×C₃×C₄	—	2	1	no	—
996	C₂×C₃×C₄	—	2	1	no	—
997	C₂×C₃×C₄	—	2	1	no	—
998	C₂×C₃×C₄	—	2	1	no	—
999	C₂×C₃×C₄	—	2	1	no	—
1000	C₂×C₃×C₄	—	2	1	no	—
1001	C₂×C₃×C₄	—	2	1	no	—
1002	C₂×C₃×C₄	—	2	1	no	—
1003	C₂×C₃×C₄	—	2	1	no	—
1004	C₂×C₃×C₄	—	2	1	no	—
1005	C₂×C₃×C₄	—	2	1	no	—
1006	C₂×C₃×C₄	—	2	1	no	—
1007	C₂×C₃×C₄	—	2	1	no	—
1008	C₂×C₃×C₄	—	2	1	no	—
1009	C₂×C₃×C₄	—	2	1	no	—
1010	C₂×C₃×C₄	—	2	1	no	—
1011	C₂×C₃×C₄	—	2	1	no	—
1012	C₂×C₃×C₄	—	2	1	no	—
1013	C₂×C₃×C₄	—	2	1	no	—
1014	C₂×C₃×C₄	—	2	1	no	—
1015	C₂×C₃×C₄	—	2	1	no	—
1016	C₂×C₃×C₄	—	2	1	no	—
1017	C₂×C₃×C₄	—	2	1	no	—
1018	C₂×C₃×C₄	—	2	1	no	—
1019	C₂×C₃×C₄	—	2	1	no	—
1020	C₂×C₃×C₄	—	2	1	no	—
1021	C₂×C₃×C₄	—	2	1	no	—
1022	C₂×C₃×C₄	—	2	1	no	—
1023	C₂×C₃×C₄	—	2	1	no	—
1024	C₂×C₃×C₄	—	2	1	no	—
1025	C₂×C₃×C₄	—	2	1	no	—
1026	C₂×C₃×C₄	—	2	1	no	—
1027	C₂×C₃×C₄	—	2	1	no	—
1028	C₂×C₃×C₄	—	2	1	no	—
1029	C₂×C₃×C₄	—	2	1	no	—
1030	C₂×C₃×C₄	—	2	1	no	—
1031	C₂×C₃×C₄	—	2	1	no	—
1032	C₂×C₃×C₄	—	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	—	2	1	no	—
1063	C₂×C₃×C₄	—	2	1	no	—
1064	C₂×C₃×C₄	—	4	4	no	—
1065	C₂×C₃×C₄	—	4	4	no	—
1066	C₂×C₃×C₄	—	4	4	no	—
1067	C₂×C₃×C₄	—	4	4	no	—
1068	C₂×C₃×C₄	—	4	4	no	—
1069	C₂×C₃×C₄	—	8	2	no	—
1070	C₂×C₃×C₄	—	8	2	no	—
1071	C₂×C₃×C₄	—	8	2	no	—
1072	C₂×C₃×C₄	—	8	2	no	—
1073	C₂×C₃×C₄	—	8	2	no	—
1074	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1075	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1076	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1077	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1078	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1079	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1080	C₂⁴	—	2	2	no	—
1081	C₂⁴	—	2	2	no	—
1082	C₂⁴	—	4	1	no	—
1083	C₂⁴	—	4	1	no	—
1084	C₂⁴	—	4	1	no	—
1085	C₂⁴	—	4	1	no	—
1086	C₂⁴	—	4	1	no	—
1087	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1088	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1089	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1090	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1091	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1092	C₂×Q₈	—	2	2	no	—
1093	C₂×Q₈	—	2	2	no	—
1094	C₂×Q₈	—	4	1	no	—
1095	C₂×Q₈	—	4	1	no	—
1096	C₂×Q₈	—	4	1	no	—
1097	C₂×Q₈	—	4	1	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	—	4	1	no	—
1105	C₂×D₄	—	4	1	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	C₂×C₃×D₄	1	4	yes	—
1117	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
1118	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
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	—	4	1	no	—
1131	C₂²×C₄	—	4	1	no	—
1132	C₂²×C₄	—	4	1	no	—
1133	C₂²×C₄	—	4	1	no	—
1134	C₂²×C₄	—	4	1	no	—
1135	C₂²×C₄	—	4	1	no	—
1136	C₂²×C₄	—	4	1	no	—
1137	C₂²×C₄	—	4	1	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	C₂×C₃×D₄	1	4	yes	—
1149	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1150	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1151	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
1176	C₄⋊C₄	—	2	2	no	—
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	—	2	2	no	—
1188	C₄⋊C₄	—	2	2	no	—
1189	C₄⋊C₄	—	2	2	no	—
1190	C₄⋊C₄	—	2	2	no	—
1191	C₄⋊C₄	—	2	2	no	—
1192	C₄⋊C₄	—	2	2	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	C₄⋊C₄	—	4	1	no	—
1204	C₄⋊C₄	—	4	1	no	—
1205	C₄⋊C₄	—	4	1	no	—
1206	C₄⋊C₄	—	4	1	no	—
1207	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
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	—	2	2	no	—
1228	C₂²⋊C₄	—	2	2	no	—
1229	C₂²⋊C₄	—	2	2	no	—
1230	C₂²⋊C₄	—	2	2	no	—
1231	C₂²⋊C₄	—	2	2	no	—
1232	C₂²⋊C₄	—	2	2	no	—
1233	C₂²⋊C₄	—	2	2	no	—
1234	C₂²⋊C₄	—	2	2	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	C₂×C₃×D₄	1	4	yes	—
1254	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
1255	C₂²⋊C₄	C₃×#41	1	4	yes	—
1256	C₄²	—	2	2	no	—
1257	C₄²	—	2	2	no	—
1258	C₄²	—	2	2	no	—
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	C₂²×C₃	—	2	2	no	—
1269	C₂²×C₃	—	2	2	no	—
1270	C₂²×C₃	—	2	2	no	—
1271	C₂²×C₃	—	2	2	no	—
1272	C₂²×C₃	—	2	2	no	—
1273	C₂²×C₃	—	2	2	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	—	8	8	no	—
1304	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1305	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1306	C₂²×C₃	#585	1	1	yes	characteristic
1307	C₂²×C₃	#585	1	1	yes	characteristic
1308	C₂²×C₃	#585	1	1	yes	characteristic
1309	C₂²×C₃	#585	1	1	yes	characteristic
1310	C₂²×C₃	#585	1	1	yes	characteristic
1311	C₃×C₄	—	2	2	no	—
1312	C₃×C₄	—	2	2	no	—
1313	C₃×C₄	—	2	2	no	—
1314	C₃×C₄	—	2	2	no	—
1315	C₃×C₄	—	2	2	no	—
1316	C₃×C₄	—	2	2	no	—
1317	C₃×C₄	—	4	1	no	—
1318	C₃×C₄	—	4	1	no	—
1319	C₃×C₄	—	4	1	no	—
1320	C₃×C₄	—	4	1	no	—
1321	C₃×C₄	—	4	1	no	—
1322	C₃×C₄	—	4	1	no	—
1323	C₃×C₄	—	4	1	no	—
1324	C₃×C₄	—	4	1	no	—
1325	C₃×C₄	—	4	1	no	—
1326	C₃×C₄	—	4	1	no	—
1327	C₃×C₄	—	4	1	no	—
1328	C₃×C₄	—	4	1	no	—
1329	C₃×C₄	—	4	1	no	—
1330	C₃×C₄	—	4	1	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	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	2	1	no	—
1340	C₂³	—	2	1	no	—
1341	C₂³	—	2	1	no	—
1342	C₂³	—	2	1	no	—
1343	C₂³	—	2	1	no	—
1344	C₂³	—	2	1	no	—
1345	C₂³	—	2	1	no	—
1346	C₂³	—	2	1	no	—
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	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	—	4	4	no	—
1369	C₂³	—	4	4	no	—
1370	C₂³	—	8	2	no	—
1371	C₂³	—	8	2	no	—
1372	C₂³	—	8	2	no	—
1373	C₂³	—	8	2	no	—
1374	C₂³	—	8	2	no	—
1375	C₂³	C₂²×C₃×D₄	1	2	yes	—
1376	C₂³	C₂²×C₃×D₄	1	2	yes	—
1377	C₂³	C₂²×C₃×D₄	1	2	yes	—
1378	C₂³	C₂×C₃×#41	1	2	yes	—
1379	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1380	Q₈	—	4	4	no	—
1381	Q₈	—	8	2	no	—
1382	D₄	—	4	4	no	—
1383	D₄	—	4	4	no	—
1384	D₄	—	4	4	no	—
1385	D₄	—	4	4	no	—
1386	D₄	—	4	4	no	—
1387	D₄	—	8	2	no	—
1388	D₄	—	8	2	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	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	—	4	4	no	—
1462	C₂×C₄	—	4	4	no	—
1463	C₂×C₄	—	4	4	no	—
1464	C₂×C₄	—	4	4	no	—
1465	C₂×C₄	—	4	4	no	—
1466	C₂×C₄	—	8	2	no	—
1467	C₂×C₄	—	8	2	no	—
1468	C₂×C₄	—	8	2	no	—
1469	C₂×C₄	—	8	2	no	—
1470	C₂×C₄	—	8	2	no	—
1471	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1472	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1473	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1474	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1475	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1476	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1477	C₂×C₃	—	4	2	no	—
1478	C₂×C₃	—	4	2	no	—
1479	C₂×C₃	—	4	2	no	—
1480	C₂×C₃	—	4	2	no	—
1481	C₂×C₃	—	8	1	no	—
1482	C₂×C₃	#3455	1	1	yes	characteristic
1483	C₂×C₃	D₄×#41	1	1	yes	characteristic
1484	C₂×C₃	#3485	1	1	yes	characteristic
1485	C₂×C₃	#3485	1	1	yes	characteristic
1486	C₂×C₃	#3521	1	1	yes	characteristic
1487	C₂×C₃	#3566	1	1	yes	characteristic
1488	C₂×C₃	#3568	1	1	yes	characteristic
1489	C₂²	—	2	2	no	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	2	no	—
1494	C₂²	—	2	2	no	—
1495	C₂²	—	2	2	no	—
1496	C₂²	—	2	2	no	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	2	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	2	no	—
1501	C₂²	—	4	1	no	—
1502	C₂²	—	4	1	no	—
1503	C₂²	—	4	1	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	4	1	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	—	8	8	no	—
1525	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1526	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1527	C₂²	C₃×#585	1	1	yes	characteristic
1528	C₂²	C₃×#585	1	1	yes	characteristic
1529	C₂²	C₃×#585	1	1	yes	characteristic
1530	C₂²	C₃×#585	1	1	yes	characteristic
1531	C₂²	C₃×#585	1	1	yes	characteristic
1532	C₄	—	2	2	no	—
1533	C₄	—	2	2	no	—
1534	C₄	—	2	2	no	—
1535	C₄	—	2	2	no	—
1536	C₄	—	2	2	no	—
1537	C₄	—	2	2	no	—
1538	C₄	—	4	1	no	—
1539	C₄	—	4	1	no	—
1540	C₄	—	4	1	no	—
1541	C₄	—	4	1	no	—
1542	C₄	—	4	1	no	—
1543	C₄	—	4	1	no	—
1544	C₄	—	4	1	no	—
1545	C₄	—	4	1	no	—
1546	C₄	—	4	1	no	—
1547	C₄	—	4	1	no	—
1548	C₄	—	4	1	no	—
1549	C₄	—	4	1	no	—
1550	C₄	—	4	1	no	—
1551	C₄	—	4	1	no	—
1552	C₄	—	4	1	no	—
1553	C₄	—	4	1	no	—
1554	C₄	—	4	1	no	—
1555	C₄	—	4	1	no	—
1556	C₄	—	4	1	no	—
1557	C₄	—	4	1	no	—
1558	C₃	#37740	1	1	yes	characteristic, direct product factor, Sylow
1559	C₂	—	4	2	no	—
1560	C₂	—	4	2	no	—
1561	C₂	—	4	2	no	—
1562	C₂	—	4	2	no	—
1563	C₂	—	8	1	no	—
1564	C₂	C₃×#3455	1	1	yes	characteristic
1565	C₂	C₃×D₄×#41	1	1	yes	characteristic
1566	C₂	C₃×#3485	1	1	yes	characteristic
1567	C₂	C₃×#3485	1	1	yes	characteristic
1568	C₂	C₃×#3521	1	1	yes	characteristic
1569	C₂	C₃×#3566	1	1	yes	characteristic
1570	C₂	C₃×#3568	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₂×C₃×#538	C₂
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
2. C₂×C₃×#529	C₂	semidirect
3. C₃×#2853	C₂	semidirect
4. C₃×#2721	C₂	semidirect
5. C₃×#2717	C₂	semidirect
6. C₃×#2717	C₂	semidirect
7. C₃×#2708	C₂	semidirect
8. C₃×#2701	C₂	semidirect
9. C₃×#2697	C₂	semidirect
10. C₃×#2690	C₂	semidirect
11. C₃×#2684	C₂	semidirect
12. C₃×#2663	C₂	semidirect
13. C₃×#2638	C₂	semidirect
14. C₃×#2521	C₂	semidirect
15. C₃×#2496	C₂	semidirect
16. C₃×#2480	C₂	semidirect
17. C₃×#2478	C₂	semidirect
18. C₃×#2474	C₂	semidirect
19. C₃×#2469	C₂	semidirect
20. C₃×#2466	C₂	semidirect
21. C₃×#2465	C₂	semidirect
22. C₃×#2447	C₂	semidirect
23. C₃×#2444	C₂	semidirect
24. C₃×#2422	C₂	semidirect
25. C₃×#2419	C₂	semidirect
26. C₃×#2418	C₂	semidirect
27. C₃×#2418	C₂	semidirect
28. C₃×#2359	C₂	semidirect
29. C₃×#2342	C₂	semidirect
30. C₃×#2333	C₂	semidirect
31. C₃×C₄×#123	C₂	semidirect
32. #37740	C₃	direct (N × H)
38. C₂×C₃×#126	C₂²	semidirect
39. C₂×C₃×#125	C₂²	semidirect
48. C₂×C₃×#123	C₂²	semidirect
50. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
56. C₂×C₃×C₄×Q₈	C₂²	semidirect
61. C₂×C₃×C₄×D₄	C₂²	semidirect
63. C₂×C₃×#117	C₂²	semidirect
66. C₂²×C₃×C₄²	C₂²	semidirect
67. C₃×#400	C₂²	semidirect
68. C₃×#400	C₂²	semidirect
69. C₃×#400	C₂²	semidirect
72. C₃×#398	C₂²	semidirect
73. C₃×#398	C₂²	semidirect
74. C₃×#398	C₂²	semidirect
84. C₃×#397	C₂²	semidirect
85. C₃×#397	C₂²	semidirect
86. C₃×#397	C₂²	semidirect
87. C₃×#397	C₂²	semidirect
88. C₃×#397	C₂²	semidirect
89. C₃×#397	C₂²	semidirect
93. C₃×#395	C₂²	semidirect
94. C₃×#395	C₂²	semidirect
95. C₃×#395	C₂²	semidirect
96. C₃×#395	C₂²	semidirect
107. C₃×#391	C₂²	semidirect
108. C₃×#391	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
115. C₃×#389	C₂²	semidirect
131. C₃×#388	C₂²	semidirect
132. C₃×#387	C₂²	semidirect
133. C₃×#387	C₂²	semidirect
134. C₃×#387	C₂²	semidirect
135. C₃×#387	C₂²	semidirect
136. C₃×#387	C₂²	semidirect
137. C₃×#387	C₂²	semidirect
138. C₃×#387	C₂²	semidirect
139. C₃×#387	C₂²	semidirect
140. C₃×#387	C₂²	semidirect
141. C₃×#387	C₂²	semidirect
142. C₃×#387	C₂²	semidirect
143. C₃×#387	C₂²	semidirect
144. C₃×#387	C₂²	semidirect
154. C₃×#386	C₂²	semidirect
161. C₃×#385	C₂²	semidirect
162. C₃×#385	C₂²	semidirect
163. C₃×#385	C₂²	semidirect
164. C₃×#385	C₂²	semidirect
165. C₃×#385	C₂²	semidirect
166. C₃×#385	C₂²	semidirect
167. C₃×#384	C₂²	semidirect
169. C₃×#381	C₂²	semidirect
170. C₃×#381	C₂²	semidirect
171. C₃×#381	C₂²	semidirect
176. C₃×#380	C₂²	semidirect
180. C₃×C₄×C₄⋊C₄	C₂²	semidirect
181. C₃×C₄×C₄⋊C₄	C₂²	semidirect
182. C₃×C₄×C₄⋊C₄	C₂²	semidirect
187. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
188. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
189. C₂×C₃×#95	C₂²	semidirect
191. C₂×#529	C₂×C₃	semidirect
192. #2853	C₂×C₃	semidirect
193. #2721	C₂×C₃	semidirect
194. #2717	C₂×C₃	semidirect
195. #2717	C₂×C₃	semidirect
196. #2708	C₂×C₃	semidirect
197. #2701	C₂×C₃	semidirect
198. #2697	C₂×C₃	semidirect
199. #2690	C₂×C₃	semidirect
200. #2684	C₂×C₃	semidirect
201. #2663	C₂×C₃	semidirect
202. #2638	C₂×C₃	semidirect
203. #2521	C₂×C₃	semidirect
204. #2496	C₂×C₃	semidirect
205. #2480	C₂×C₃	semidirect
206. #2478	C₂×C₃	semidirect
207. #2474	C₂×C₃	semidirect
208. #2469	C₂×C₃	semidirect
209. #2466	C₂×C₃	semidirect
210. #2465	C₂×C₃	semidirect
211. #2447	C₂×C₃	semidirect
212. #2444	C₂×C₃	semidirect
213. #2422	C₂×C₃	semidirect
214. #2419	C₂×C₃	semidirect
215. #2418	C₂×C₃	semidirect
216. #2418	C₂×C₃	semidirect
217. #2359	C₂×C₃	semidirect
218. #2342	C₂×C₃	semidirect
219. #2333	C₂×C₃	semidirect
220. C₄×#123	C₂×C₃	semidirect
413. C₂×#126	C₂²×C₃	semidirect
414. C₂×#125	C₂²×C₃	semidirect
423. C₂×#123	C₂²×C₃	semidirect
425. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
431. C₂×C₄×Q₈	C₂²×C₃	semidirect
436. C₂×C₄×D₄	C₂²×C₃	semidirect
438. C₂×#117	C₂²×C₃	semidirect
441. C₂²×C₄²	C₂²×C₃	semidirect
442. #400	C₂²×C₃	semidirect
443. #400	C₂²×C₃	semidirect
444. #400	C₂²×C₃	semidirect
447. #398	C₂²×C₃	semidirect
448. #398	C₂²×C₃	semidirect
449. #398	C₂²×C₃	semidirect
459. #397	C₂²×C₃	semidirect
460. #397	C₂²×C₃	semidirect
461. #397	C₂²×C₃	semidirect
462. #397	C₂²×C₃	semidirect
463. #397	C₂²×C₃	semidirect
464. #397	C₂²×C₃	semidirect
468. #395	C₂²×C₃	semidirect
469. #395	C₂²×C₃	semidirect
470. #395	C₂²×C₃	semidirect
471. #395	C₂²×C₃	semidirect
482. #391	C₂²×C₃	semidirect
483. #391	C₂²×C₃	semidirect
485. #390	C₂²×C₃	semidirect
486. #389	C₂²×C₃	semidirect
487. #389	C₂²×C₃	semidirect
488. #389	C₂²×C₃	semidirect
489. #389	C₂²×C₃	semidirect
490. #389	C₂²×C₃	semidirect
506. #388	C₂²×C₃	semidirect
507. #387	C₂²×C₃	semidirect
508. #387	C₂²×C₃	semidirect
509. #387	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
518. #387	C₂²×C₃	semidirect
519. #387	C₂²×C₃	semidirect
529. #386	C₂²×C₃	semidirect
536. #385	C₂²×C₃	semidirect
537. #385	C₂²×C₃	semidirect
538. #385	C₂²×C₃	semidirect
539. #385	C₂²×C₃	semidirect
540. #385	C₂²×C₃	semidirect
541. #385	C₂²×C₃	semidirect
542. #384	C₂²×C₃	semidirect
544. #381	C₂²×C₃	semidirect
545. #381	C₂²×C₃	semidirect
546. #381	C₂²×C₃	semidirect
551. #380	C₂²×C₃	semidirect
555. C₄×C₄⋊C₄	C₂²×C₃	semidirect
556. C₄×C₄⋊C₄	C₂²×C₃	semidirect
557. C₄×C₄⋊C₄	C₂²×C₃	semidirect
562. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
563. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
564. C₂×#95	C₂²×C₃	semidirect
1558. C₃	#37740	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×#538	2
C₂×C₃×#529	2
C₃×#2853	2
C₃×#2721	2
C₃×#2717	2
C₃×#2708	2
C₃×#2701	2
C₃×#2697	2
C₃×#2690	2
C₃×#2684	2
C₃×#2663	2
C₃×#2638	2
C₃×#2521	2
C₃×#2496	2
C₃×#2480	2
C₃×#2478	2
C₃×#2474	2
C₃×#2469	2
C₃×#2466	2
C₃×#2465	2
C₃×#2447	2
C₃×#2444	2
C₃×#2422	2
C₃×#2419	2
C₃×#2418	2
C₃×#2359	2
C₃×#2342	2
C₃×#2333	2
C₃×C₄×#123	2
#37740	3

Subgroups — C3×#37740 #10656347

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#37740 #10656347