Subgroups — C₃×#37133 #10655740

Order 768.

2168 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#539	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×#538	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2861	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2860	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2725	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2710	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2707	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2703	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2702	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2701	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2700	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2699	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2697	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2689	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2687	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2685	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2681	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2681	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2678	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2678	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2664	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2662	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2602	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#2602	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#2591	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2561	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#2415	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2414	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#2413	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#2411	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#2293	C₂	1	1	yes	maximal, characteristic, complemented
32	#37133	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₃×#539	—	2	8	no	—
34	C₃×#538	—	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×#125	C₂²	1	1	yes	characteristic, complemented
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
49	C₂×C₃×#123	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
51	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
52	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₃×#121	C₂²	1	1	yes	characteristic
56	C₂×C₃×#121	C₂²	1	1	yes	characteristic
57	C₂×C₃×#121	C₂²	1	1	yes	characteristic
58	C₂×C₃×#121	C₂²	1	1	yes	characteristic
59	C₂×C₃×#121	C₂²	1	1	yes	characteristic
60	C₂×C₃×#120	C₂²	1	1	yes	characteristic
61	C₂×C₃×#120	C₂²	1	1	yes	characteristic
62	C₂×C₃×#120	C₂²	1	1	yes	characteristic
63	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
64	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
65	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₃×#117	C₂²	1	1	yes	characteristic
67	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
68	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
70	C₃×#400	C₂²	1	1	yes	characteristic, complemented
71	C₃×#400	C₂²	1	1	yes	characteristic, complemented
72	C₃×#400	C₂²	1	1	yes	characteristic, complemented
73	C₃×#399	C₂²	1	1	yes	characteristic
74	C₃×#398	C₂²	1	1	yes	characteristic, complemented
75	C₃×#398	C₂²	1	1	yes	characteristic, complemented
76	C₃×#398	C₂²	1	1	yes	characteristic, complemented
77	C₃×#398	C₂²	1	1	yes	characteristic, complemented
78	C₃×#398	C₂²	1	1	yes	characteristic, complemented
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
85	C₃×#397	C₂²	1	1	yes	characteristic, complemented
86	C₃×#396	C₂²	1	1	yes	characteristic
87	C₃×#396	C₂²	1	1	yes	characteristic
88	C₃×#396	C₂²	1	1	yes	characteristic
89	C₃×#396	C₂²	1	1	yes	characteristic
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×#396	C₂²	1	1	yes	characteristic, complemented
94	C₃×#395	C₂²	1	1	yes	characteristic, complemented
95	C₃×#394	C₂²	1	1	yes	characteristic
96	C₃×#394	C₂²	1	1	yes	characteristic
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×#394	C₂²	1	1	yes	characteristic
106	C₃×#394	C₂²	1	1	yes	characteristic
107	C₃×#394	C₂²	1	1	yes	characteristic, complemented
108	C₃×#394	C₂²	1	1	yes	characteristic, complemented
109	C₃×#394	C₂²	1	1	yes	characteristic, complemented
110	C₃×#393	C₂²	1	1	yes	characteristic
111	C₃×#393	C₂²	1	1	yes	characteristic
112	C₃×#393	C₂²	1	1	yes	characteristic, complemented
113	C₃×#392	C₂²	1	1	yes	characteristic
114	C₃×#392	C₂²	1	1	yes	characteristic
115	C₃×#392	C₂²	1	1	yes	characteristic
116	C₃×#392	C₂²	1	1	yes	characteristic
117	C₃×#392	C₂²	1	1	yes	characteristic, complemented
118	C₃×#391	C₂²	1	1	yes	characteristic, complemented
119	C₃×#391	C₂²	1	1	yes	characteristic, complemented
120	C₃×#391	C₂²	1	1	yes	characteristic, complemented
121	C₃×#390	C₂²	1	1	yes	characteristic
122	C₃×#390	C₂²	1	1	yes	characteristic
123	C₃×#390	C₂²	1	1	yes	characteristic
124	C₃×#390	C₂²	1	1	yes	characteristic
125	C₃×#390	C₂²	1	1	yes	characteristic
126	C₃×#390	C₂²	1	1	yes	characteristic
127	C₃×#390	C₂²	1	1	yes	characteristic
128	C₃×#390	C₂²	1	1	yes	characteristic
129	C₃×#390	C₂²	1	1	yes	characteristic
130	C₃×#390	C₂²	1	1	yes	characteristic, complemented
131	C₃×#389	C₂²	1	1	yes	characteristic, complemented
132	C₃×#389	C₂²	1	1	yes	characteristic, complemented
133	C₃×#389	C₂²	1	1	yes	characteristic, complemented
134	C₃×#389	C₂²	1	1	yes	characteristic, complemented
135	C₃×#389	C₂²	1	1	yes	characteristic, complemented
136	C₃×#389	C₂²	1	1	yes	characteristic, complemented
137	C₃×#389	C₂²	1	1	yes	characteristic, complemented
138	C₃×#389	C₂²	1	1	yes	characteristic, complemented
139	C₃×#389	C₂²	1	1	yes	characteristic, complemented
140	C₃×#388	C₂²	1	1	yes	characteristic
141	C₃×#388	C₂²	1	1	yes	characteristic
142	C₃×#388	C₂²	1	1	yes	characteristic
143	C₃×#388	C₂²	1	1	yes	characteristic
144	C₃×#388	C₂²	1	1	yes	characteristic
145	C₃×#388	C₂²	1	1	yes	characteristic
146	C₃×#388	C₂²	1	1	yes	characteristic
147	C₃×#388	C₂²	1	1	yes	characteristic
148	C₃×#388	C₂²	1	1	yes	characteristic
149	C₃×#388	C₂²	1	1	yes	characteristic
150	C₃×#388	C₂²	1	1	yes	characteristic
151	C₃×#388	C₂²	1	1	yes	characteristic
152	C₃×#388	C₂²	1	1	yes	characteristic
153	C₃×#388	C₂²	1	1	yes	characteristic, complemented
154	C₃×#388	C₂²	1	1	yes	characteristic, complemented
155	C₃×#388	C₂²	1	1	yes	characteristic, complemented
156	C₃×#388	C₂²	1	1	yes	characteristic, complemented
157	C₃×#388	C₂²	1	1	yes	characteristic, complemented
158	C₃×#388	C₂²	1	1	yes	characteristic, complemented
159	C₃×#388	C₂²	1	1	yes	characteristic, complemented
160	C₃×#388	C₂²	1	1	yes	characteristic, complemented
161	C₃×#388	C₂²	1	1	yes	characteristic, complemented
162	C₃×#388	C₂²	1	1	yes	characteristic, complemented
163	C₃×#388	C₂²	1	1	yes	characteristic, complemented
164	C₃×#387	C₂²	1	1	yes	characteristic, complemented
165	C₃×#387	C₂²	1	1	yes	characteristic, complemented
166	C₃×#386	C₂²	1	1	yes	characteristic
167	C₃×#386	C₂²	1	1	yes	characteristic
168	C₃×#386	C₂²	1	1	yes	characteristic
169	C₃×#386	C₂²	1	1	yes	characteristic
170	C₃×#386	C₂²	1	1	yes	characteristic
171	C₃×#386	C₂²	1	1	yes	characteristic, complemented
172	C₃×#386	C₂²	1	1	yes	characteristic, complemented
173	C₃×#386	C₂²	1	1	yes	characteristic, complemented
174	C₃×#385	C₂²	1	1	yes	characteristic
175	C₃×#385	C₂²	1	1	yes	characteristic, complemented
176	C₃×#385	C₂²	1	1	yes	characteristic, complemented
177	C₃×#385	C₂²	1	1	yes	characteristic, complemented
178	C₃×#381	C₂²	1	1	yes	characteristic
179	C₃×#381	C₂²	1	1	yes	characteristic
180	C₃×#381	C₂²	1	1	yes	characteristic, complemented
181	C₃×#380	C₂²	1	1	yes	characteristic, complemented
182	C₃×#380	C₂²	1	1	yes	characteristic, complemented
183	C₃×#379	C₂²	1	1	yes	characteristic
184	C₃×#379	C₂²	1	1	yes	characteristic
185	C₃×#379	C₂²	1	1	yes	characteristic
186	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
188	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
189	C₃×C₄³	C₂²	1	1	yes	characteristic, complemented
190	C₂×#539	C₂×C₃	1	1	yes	characteristic, complemented
191	C₂×#538	C₂×C₃	1	1	yes	characteristic, complemented
192	#2861	C₂×C₃	1	1	yes	characteristic, complemented
193	#2860	C₂×C₃	1	1	yes	characteristic, complemented
194	#2725	C₂×C₃	1	1	yes	characteristic, complemented
195	#2710	C₂×C₃	1	1	yes	characteristic, complemented
196	#2707	C₂×C₃	1	1	yes	characteristic, complemented
197	#2703	C₂×C₃	1	1	yes	characteristic, complemented
198	#2702	C₂×C₃	1	1	yes	characteristic, complemented
199	#2701	C₂×C₃	1	1	yes	characteristic, complemented
200	#2700	C₂×C₃	1	1	yes	characteristic, complemented
201	#2699	C₂×C₃	1	1	yes	characteristic, complemented
202	#2697	C₂×C₃	1	1	yes	characteristic, complemented
203	#2689	C₂×C₃	1	1	yes	characteristic, complemented
204	#2687	C₂×C₃	1	1	yes	characteristic, complemented
205	#2685	C₂×C₃	1	1	yes	characteristic, complemented
206	#2681	C₂×C₃	1	1	yes	characteristic, complemented
207	#2681	C₂×C₃	1	1	yes	characteristic, complemented
208	#2678	C₂×C₃	1	1	yes	characteristic, complemented
209	#2678	C₂×C₃	1	1	yes	characteristic, complemented
210	#2664	C₂×C₃	1	1	yes	characteristic, complemented
211	#2662	C₂×C₃	1	1	yes	characteristic, complemented
212	#2602	C₂×C₃	1	1	yes	characteristic, complemented
213	#2602	C₂×C₃	1	1	yes	characteristic, complemented
214	#2591	C₂×C₃	1	1	yes	characteristic, complemented
215	#2561	C₂×C₃	1	1	yes	characteristic, complemented
216	#2415	C₂×C₃	1	1	yes	characteristic, complemented
217	#2414	C₂×C₃	1	1	yes	characteristic, complemented
218	#2413	C₂×C₃	1	1	yes	characteristic, complemented
219	#2411	C₂×C₃	1	1	yes	characteristic, complemented
220	#2293	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	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	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
235	C₂²×C₃×D₄	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	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
242	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
243	C₃×#126	—	2	4	no	—
244	C₃×#126	—	2	4	no	—
245	C₃×#126	—	2	4	no	—
246	C₃×#126	—	2	4	no	—
247	C₃×#125	—	2	4	no	—
248	C₃×#125	—	2	4	no	—
249	C₃×#124	—	2	4	no	—
250	C₃×#124	—	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×#123	—	2	4	no	—
256	C₃×#123	—	2	4	no	—
257	C₃×#123	—	4	2	no	—
258	C₃×C₂²⋊Q₈	—	2	4	no	—
259	C₃×C₂²⋊Q₈	—	2	4	no	—
260	C₃×C₂²⋊Q₈	—	2	4	no	—
261	C₃×C₂²⋊Q₈	—	2	4	no	—
262	C₃×C₂²⋊Q₈	—	4	2	no	—
263	C₃×#121	—	2	4	no	—
264	C₃×#121	—	2	4	no	—
265	C₃×#121	—	2	4	no	—
266	C₃×#121	—	2	4	no	—
267	C₃×#121	—	4	2	no	—
268	C₃×#120	—	2	4	no	—
269	C₃×#120	—	2	4	no	—
270	C₃×#120	—	4	2	no	—
271	C₃×C₄×D₄	—	2	4	no	—
272	C₃×C₄×D₄	—	2	4	no	—
273	C₃×C₄×D₄	D₄	1	8	yes	complemented
274	C₃×#117	—	4	2	no	—
275	C₃×#117	—	4	2	no	—
276	C₂×C₃×C₄⋊C₄	—	2	4	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
354	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
355	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
356	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
357	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
358	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
359	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
360	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
361	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
362	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
363	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
364	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
365	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
366	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
367	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
368	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
369	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
370	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
371	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
372	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
373	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
374	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
375	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
376	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
377	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
378	C₂×C₃×C₄²	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	C₃×#95	C₂³	1	1	yes	characteristic
409	C₃×#95	C₂³	1	1	yes	characteristic
410	C₃×#95	C₂³	1	1	yes	characteristic
411	#539	—	2	8	no	—
412	#538	—	2	8	no	—
413	C₂×#126	C₂²×C₃	1	1	yes	characteristic
414	C₂×#126	C₂²×C₃	1	1	yes	characteristic
415	C₂×#126	C₂²×C₃	1	1	yes	characteristic
416	C₂×#126	C₂²×C₃	1	1	yes	characteristic, complemented
417	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
418	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
419	C₂×#124	C₂²×C₃	1	1	yes	characteristic
420	C₂×#124	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
424	C₂×#123	C₂²×C₃	1	1	yes	characteristic
425	C₂×#123	C₂²×C₃	1	1	yes	characteristic
426	C₂×#123	C₂²×C₃	1	1	yes	characteristic
427	C₂×#123	C₂²×C₃	1	1	yes	characteristic, complemented
428	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
429	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
430	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
431	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
432	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
433	C₂×#121	C₂²×C₃	1	1	yes	characteristic
434	C₂×#121	C₂²×C₃	1	1	yes	characteristic
435	C₂×#121	C₂²×C₃	1	1	yes	characteristic
436	C₂×#121	C₂²×C₃	1	1	yes	characteristic
437	C₂×#121	C₂²×C₃	1	1	yes	characteristic
438	C₂×#120	C₂²×C₃	1	1	yes	characteristic
439	C₂×#120	C₂²×C₃	1	1	yes	characteristic
440	C₂×#120	C₂²×C₃	1	1	yes	characteristic
441	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
442	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
443	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
444	C₂×#117	C₂²×C₃	1	1	yes	characteristic
445	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
446	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
447	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
448	#400	C₂²×C₃	1	1	yes	characteristic, complemented
449	#400	C₂²×C₃	1	1	yes	characteristic, complemented
450	#400	C₂²×C₃	1	1	yes	characteristic, complemented
451	#399	C₂²×C₃	1	1	yes	characteristic
452	#398	C₂²×C₃	1	1	yes	characteristic, complemented
453	#398	C₂²×C₃	1	1	yes	characteristic, complemented
454	#398	C₂²×C₃	1	1	yes	characteristic, complemented
455	#398	C₂²×C₃	1	1	yes	characteristic, complemented
456	#398	C₂²×C₃	1	1	yes	characteristic, complemented
457	#397	C₂²×C₃	1	1	yes	characteristic
458	#397	C₂²×C₃	1	1	yes	characteristic
459	#397	C₂²×C₃	1	1	yes	characteristic
460	#397	C₂²×C₃	1	1	yes	characteristic
461	#397	C₂²×C₃	1	1	yes	characteristic
462	#397	C₂²×C₃	1	1	yes	characteristic
463	#397	C₂²×C₃	1	1	yes	characteristic, complemented
464	#396	C₂²×C₃	1	1	yes	characteristic
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	#396	C₂²×C₃	1	1	yes	characteristic
469	#396	C₂²×C₃	1	1	yes	characteristic
470	#396	C₂²×C₃	1	1	yes	characteristic
471	#396	C₂²×C₃	1	1	yes	characteristic, complemented
472	#395	C₂²×C₃	1	1	yes	characteristic, complemented
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	#394	C₂²×C₃	1	1	yes	characteristic
481	#394	C₂²×C₃	1	1	yes	characteristic
482	#394	C₂²×C₃	1	1	yes	characteristic
483	#394	C₂²×C₃	1	1	yes	characteristic
484	#394	C₂²×C₃	1	1	yes	characteristic
485	#394	C₂²×C₃	1	1	yes	characteristic, complemented
486	#394	C₂²×C₃	1	1	yes	characteristic, complemented
487	#394	C₂²×C₃	1	1	yes	characteristic, complemented
488	#393	C₂²×C₃	1	1	yes	characteristic
489	#393	C₂²×C₃	1	1	yes	characteristic
490	#393	C₂²×C₃	1	1	yes	characteristic, complemented
491	#392	C₂²×C₃	1	1	yes	characteristic
492	#392	C₂²×C₃	1	1	yes	characteristic
493	#392	C₂²×C₃	1	1	yes	characteristic
494	#392	C₂²×C₃	1	1	yes	characteristic
495	#392	C₂²×C₃	1	1	yes	characteristic, complemented
496	#391	C₂²×C₃	1	1	yes	characteristic, complemented
497	#391	C₂²×C₃	1	1	yes	characteristic, complemented
498	#391	C₂²×C₃	1	1	yes	characteristic, complemented
499	#390	C₂²×C₃	1	1	yes	characteristic
500	#390	C₂²×C₃	1	1	yes	characteristic
501	#390	C₂²×C₃	1	1	yes	characteristic
502	#390	C₂²×C₃	1	1	yes	characteristic
503	#390	C₂²×C₃	1	1	yes	characteristic
504	#390	C₂²×C₃	1	1	yes	characteristic
505	#390	C₂²×C₃	1	1	yes	characteristic
506	#390	C₂²×C₃	1	1	yes	characteristic
507	#390	C₂²×C₃	1	1	yes	characteristic
508	#390	C₂²×C₃	1	1	yes	characteristic, complemented
509	#389	C₂²×C₃	1	1	yes	characteristic, complemented
510	#389	C₂²×C₃	1	1	yes	characteristic, complemented
511	#389	C₂²×C₃	1	1	yes	characteristic, complemented
512	#389	C₂²×C₃	1	1	yes	characteristic, complemented
513	#389	C₂²×C₃	1	1	yes	characteristic, complemented
514	#389	C₂²×C₃	1	1	yes	characteristic, complemented
515	#389	C₂²×C₃	1	1	yes	characteristic, complemented
516	#389	C₂²×C₃	1	1	yes	characteristic, complemented
517	#389	C₂²×C₃	1	1	yes	characteristic, complemented
518	#388	C₂²×C₃	1	1	yes	characteristic
519	#388	C₂²×C₃	1	1	yes	characteristic
520	#388	C₂²×C₃	1	1	yes	characteristic
521	#388	C₂²×C₃	1	1	yes	characteristic
522	#388	C₂²×C₃	1	1	yes	characteristic
523	#388	C₂²×C₃	1	1	yes	characteristic
524	#388	C₂²×C₃	1	1	yes	characteristic
525	#388	C₂²×C₃	1	1	yes	characteristic
526	#388	C₂²×C₃	1	1	yes	characteristic
527	#388	C₂²×C₃	1	1	yes	characteristic
528	#388	C₂²×C₃	1	1	yes	characteristic
529	#388	C₂²×C₃	1	1	yes	characteristic
530	#388	C₂²×C₃	1	1	yes	characteristic
531	#388	C₂²×C₃	1	1	yes	characteristic, complemented
532	#388	C₂²×C₃	1	1	yes	characteristic, complemented
533	#388	C₂²×C₃	1	1	yes	characteristic, complemented
534	#388	C₂²×C₃	1	1	yes	characteristic, complemented
535	#388	C₂²×C₃	1	1	yes	characteristic, complemented
536	#388	C₂²×C₃	1	1	yes	characteristic, complemented
537	#388	C₂²×C₃	1	1	yes	characteristic, complemented
538	#388	C₂²×C₃	1	1	yes	characteristic, complemented
539	#388	C₂²×C₃	1	1	yes	characteristic, complemented
540	#388	C₂²×C₃	1	1	yes	characteristic, complemented
541	#388	C₂²×C₃	1	1	yes	characteristic, complemented
542	#387	C₂²×C₃	1	1	yes	characteristic, complemented
543	#387	C₂²×C₃	1	1	yes	characteristic, complemented
544	#386	C₂²×C₃	1	1	yes	characteristic
545	#386	C₂²×C₃	1	1	yes	characteristic
546	#386	C₂²×C₃	1	1	yes	characteristic
547	#386	C₂²×C₃	1	1	yes	characteristic
548	#386	C₂²×C₃	1	1	yes	characteristic
549	#386	C₂²×C₃	1	1	yes	characteristic, complemented
550	#386	C₂²×C₃	1	1	yes	characteristic, complemented
551	#386	C₂²×C₃	1	1	yes	characteristic, complemented
552	#385	C₂²×C₃	1	1	yes	characteristic
553	#385	C₂²×C₃	1	1	yes	characteristic, complemented
554	#385	C₂²×C₃	1	1	yes	characteristic, complemented
555	#385	C₂²×C₃	1	1	yes	characteristic, complemented
556	#381	C₂²×C₃	1	1	yes	characteristic
557	#381	C₂²×C₃	1	1	yes	characteristic
558	#381	C₂²×C₃	1	1	yes	characteristic, complemented
559	#380	C₂²×C₃	1	1	yes	characteristic, complemented
560	#380	C₂²×C₃	1	1	yes	characteristic, complemented
561	#379	C₂²×C₃	1	1	yes	characteristic
562	#379	C₂²×C₃	1	1	yes	characteristic
563	#379	C₂²×C₃	1	1	yes	characteristic
564	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
565	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
566	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
567	C₄³	C₂²×C₃	1	1	yes	characteristic, complemented
568	C₂⁴×C₃	—	2	2	no	—
569	C₂⁴×C₃	—	4	1	no	—
570	C₂⁴×C₃	—	4	1	no	—
571	C₂⁴×C₃	—	4	1	no	—
572	C₂⁴×C₃	—	4	1	no	—
573	C₂⁴×C₃	—	4	1	no	—
574	C₂⁴×C₃	—	4	1	no	—
575	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
576	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
577	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
578	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
579	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
580	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
581	C₂×C₃×Q₈	—	2	2	no	—
582	C₂×C₃×Q₈	—	2	2	no	—
583	C₂×C₃×Q₈	—	4	1	no	—
584	C₂×C₃×Q₈	—	4	1	no	—
585	C₂×C₃×Q₈	—	4	1	no	—
586	C₂×C₃×Q₈	—	4	1	no	—
587	C₂×C₃×D₄	—	2	2	no	—
588	C₂×C₃×D₄	—	2	2	no	—
589	C₂×C₃×D₄	—	2	2	no	—
590	C₂×C₃×D₄	—	2	2	no	—
591	C₂×C₃×D₄	—	2	2	no	—
592	C₂×C₃×D₄	—	2	2	no	—
593	C₂×C₃×D₄	—	2	2	no	—
594	C₂×C₃×D₄	—	2	2	no	—
595	C₂×C₃×D₄	—	2	2	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	C₂×C₃×D₄	—	4	1	no	—
609	C₂×C₃×D₄	—	4	1	no	—
610	C₂×C₃×D₄	—	4	1	no	—
611	C₂×C₃×D₄	—	4	1	no	—
612	C₂×C₃×D₄	—	4	1	no	—
613	C₂×C₃×D₄	—	4	1	no	—
614	C₂×C₃×D₄	—	4	1	no	—
615	C₂×C₃×D₄	—	4	1	no	—
616	C₂×C₃×D₄	—	4	1	no	—
617	C₂×C₃×D₄	—	4	1	no	—
618	C₂×C₃×D₄	—	4	1	no	—
619	C₂×C₃×D₄	—	4	1	no	—
620	C₂×C₃×D₄	—	4	1	no	—
621	C₂×C₃×D₄	—	4	1	no	—
622	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
623	C₂²×C₃×C₄	—	2	2	no	—
624	C₂²×C₃×C₄	—	2	2	no	—
625	C₂²×C₃×C₄	—	2	2	no	—
626	C₂²×C₃×C₄	—	2	2	no	—
627	C₂²×C₃×C₄	—	2	2	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	—	4	1	no	—
634	C₂²×C₃×C₄	—	4	1	no	—
635	C₂²×C₃×C₄	—	4	1	no	—
636	C₂²×C₃×C₄	—	4	1	no	—
637	C₂²×C₃×C₄	—	4	1	no	—
638	C₂²×C₃×C₄	—	4	1	no	—
639	C₂²×C₃×C₄	—	4	1	no	—
640	C₂²×C₃×C₄	—	4	1	no	—
641	C₂²×C₃×C₄	—	4	1	no	—
642	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
643	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
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	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
661	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
662	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
663	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
664	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
665	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
666	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
667	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
668	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
679	C₃×C₄⋊C₄	—	2	2	no	—
680	C₃×C₄⋊C₄	—	2	2	no	—
681	C₃×C₄⋊C₄	—	2	2	no	—
682	C₃×C₄⋊C₄	—	2	2	no	—
683	C₃×C₄⋊C₄	—	2	2	no	—
684	C₃×C₄⋊C₄	—	2	2	no	—
685	C₃×C₄⋊C₄	—	2	2	no	—
686	C₃×C₄⋊C₄	—	2	2	no	—
687	C₃×C₄⋊C₄	—	2	2	no	—
688	C₃×C₄⋊C₄	—	2	2	no	—
689	C₃×C₄⋊C₄	—	2	2	no	—
690	C₃×C₄⋊C₄	—	4	1	no	—
691	C₃×C₄⋊C₄	—	4	1	no	—
692	C₃×C₄⋊C₄	—	4	1	no	—
693	C₃×C₄⋊C₄	—	4	1	no	—
694	C₃×C₄⋊C₄	—	4	1	no	—
695	C₃×C₄⋊C₄	—	4	1	no	—
696	C₃×C₄⋊C₄	—	4	1	no	—
697	C₃×C₄⋊C₄	—	4	1	no	—
698	C₃×C₄⋊C₄	—	4	1	no	—
699	C₃×C₄⋊C₄	—	4	1	no	—
700	C₃×C₄⋊C₄	—	4	1	no	—
701	C₃×C₄⋊C₄	—	4	1	no	—
702	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
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	—	2	2	no	—
721	C₃×C₂²⋊C₄	—	2	2	no	—
722	C₃×C₂²⋊C₄	—	2	2	no	—
723	C₃×C₂²⋊C₄	—	2	2	no	—
724	C₃×C₂²⋊C₄	—	2	2	no	—
725	C₃×C₂²⋊C₄	—	2	2	no	—
726	C₃×C₂²⋊C₄	—	2	2	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	—	4	1	no	—
739	C₃×C₂²⋊C₄	—	4	1	no	—
740	C₃×C₂²⋊C₄	—	4	1	no	—
741	C₃×C₂²⋊C₄	—	4	1	no	—
742	C₃×C₂²⋊C₄	—	4	1	no	—
743	C₃×C₂²⋊C₄	—	4	1	no	—
744	C₃×C₂²⋊C₄	—	4	1	no	—
745	C₃×C₂²⋊C₄	—	4	1	no	—
746	C₃×C₂²⋊C₄	—	4	1	no	—
747	C₃×C₂²⋊C₄	—	4	1	no	—
748	C₃×C₂²⋊C₄	—	4	1	no	—
749	C₃×C₂²⋊C₄	—	4	1	no	—
750	C₃×C₂²⋊C₄	—	4	1	no	—
751	C₃×C₂²⋊C₄	—	4	1	no	—
752	C₃×C₂²⋊C₄	—	4	1	no	—
753	C₃×C₂²⋊C₄	—	4	1	no	—
754	C₃×C₂²⋊C₄	—	4	1	no	—
755	C₃×C₂²⋊C₄	—	4	1	no	—
756	C₃×C₂²⋊C₄	—	4	1	no	—
757	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
758	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
759	C₃×C₄²	—	2	2	no	—
760	C₃×C₄²	—	2	2	no	—
761	C₃×C₄²	—	2	2	no	—
762	C₃×C₄²	—	4	1	no	—
763	C₃×C₄²	—	4	1	no	—
764	C₃×C₄²	—	4	1	no	—
765	C₃×C₄²	—	4	1	no	—
766	C₃×C₄²	—	4	1	no	—
767	C₃×C₄²	—	4	1	no	—
768	C₃×C₄²	—	4	1	no	—
769	C₃×C₄²	C₂×D₄	1	4	yes	—
770	C₂⁵	C₂³×C₃	1	1	yes	characteristic
771	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
772	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
773	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
774	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
775	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
776	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
777	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
778	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
779	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
780	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
781	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
782	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
783	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
784	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
785	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
786	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
787	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
788	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
789	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
790	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
791	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
792	#126	—	2	4	no	—
793	#126	—	2	4	no	—
794	#126	—	2	4	no	—
795	#126	—	2	4	no	—
796	#125	—	2	4	no	—
797	#125	—	2	4	no	—
798	#124	—	2	4	no	—
799	#124	—	2	4	no	—
800	#123	—	2	4	no	—
801	#123	—	2	4	no	—
802	#123	—	2	4	no	—
803	#123	—	2	4	no	—
804	#123	—	2	4	no	—
805	#123	—	2	4	no	—
806	#123	—	4	2	no	—
807	C₂²⋊Q₈	—	2	4	no	—
808	C₂²⋊Q₈	—	2	4	no	—
809	C₂²⋊Q₈	—	2	4	no	—
810	C₂²⋊Q₈	—	2	4	no	—
811	C₂²⋊Q₈	—	4	2	no	—
812	#121	—	2	4	no	—
813	#121	—	2	4	no	—
814	#121	—	2	4	no	—
815	#121	—	2	4	no	—
816	#121	—	4	2	no	—
817	#120	—	2	4	no	—
818	#120	—	2	4	no	—
819	#120	—	4	2	no	—
820	C₄×D₄	—	2	4	no	—
821	C₄×D₄	—	2	4	no	—
822	C₄×D₄	C₃×D₄	1	8	yes	complemented
823	#117	—	4	2	no	—
824	#117	—	4	2	no	—
825	C₂×C₄⋊C₄	—	2	4	no	—
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×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
836	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
837	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
838	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
839	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
840	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
841	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
842	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
843	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
844	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
845	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
846	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
847	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
848	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
849	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
850	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
851	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
852	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
853	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
854	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
855	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
856	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
857	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
858	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
859	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
860	C₂×C₂²⋊C₄	—	2	4	no	—
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×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
886	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
887	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
888	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
889	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
890	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
891	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
892	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
893	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
894	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
895	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
896	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
897	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
898	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
899	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
900	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
901	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
902	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
903	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
904	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
905	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
906	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
907	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
908	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
909	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
910	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
911	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
912	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
913	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
914	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
915	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
916	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
917	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
918	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
919	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
920	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
921	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
922	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
923	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
924	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
925	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
926	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
927	C₂×C₄²	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	#95	C₂³×C₃	1	1	yes	characteristic
941	#95	C₂³×C₃	1	1	yes	characteristic
942	#95	C₂³×C₃	1	1	yes	characteristic
943	#95	C₂³×C₃	1	1	yes	characteristic
944	#95	C₂³×C₃	1	1	yes	characteristic
945	#95	C₂³×C₃	1	1	yes	characteristic
946	#95	C₂³×C₃	1	1	yes	characteristic
947	#95	C₂³×C₃	1	1	yes	characteristic
948	#95	C₂³×C₃	1	1	yes	characteristic
949	#95	C₂³×C₃	1	1	yes	characteristic
950	#95	C₂³×C₃	1	1	yes	characteristic
951	#95	C₂³×C₃	1	1	yes	characteristic
952	#95	C₂³×C₃	1	1	yes	characteristic
953	#95	C₂³×C₃	1	1	yes	characteristic
954	#95	C₂³×C₃	1	1	yes	characteristic
955	#95	C₂³×C₃	1	1	yes	characteristic
956	#95	C₂³×C₃	1	1	yes	characteristic
957	#95	C₂³×C₃	1	1	yes	characteristic
958	#95	C₂³×C₃	1	1	yes	characteristic
959	#95	C₂³×C₃	1	1	yes	characteristic
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	—	2	1	no	—
972	C₂³×C₃	—	2	1	no	—
973	C₂³×C₃	—	2	1	no	—
974	C₂³×C₃	—	2	1	no	—
975	C₂³×C₃	—	2	1	no	—
976	C₂³×C₃	—	2	1	no	—
977	C₂³×C₃	—	2	1	no	—
978	C₂³×C₃	—	2	1	no	—
979	C₂³×C₃	—	2	1	no	—
980	C₂³×C₃	—	2	1	no	—
981	C₂³×C₃	—	2	1	no	—
982	C₂³×C₃	—	2	1	no	—
983	C₂³×C₃	—	2	1	no	—
984	C₂³×C₃	—	2	1	no	—
985	C₂³×C₃	—	2	1	no	—
986	C₂³×C₃	—	2	1	no	—
987	C₂³×C₃	—	2	1	no	—
988	C₂³×C₃	—	2	1	no	—
989	C₂³×C₃	—	2	1	no	—
990	C₂³×C₃	—	2	1	no	—
991	C₂³×C₃	—	2	1	no	—
992	C₂³×C₃	—	2	1	no	—
993	C₂³×C₃	—	2	1	no	—
994	C₂³×C₃	—	2	1	no	—
995	C₂³×C₃	—	2	1	no	—
996	C₂³×C₃	—	2	1	no	—
997	C₂³×C₃	—	2	1	no	—
998	C₂³×C₃	—	2	1	no	—
999	C₂³×C₃	—	2	1	no	—
1000	C₂³×C₃	—	4	4	no	—
1001	C₂³×C₃	—	8	2	no	—
1002	C₂³×C₃	—	8	2	no	—
1003	C₂³×C₃	—	8	2	no	—
1004	C₂³×C₃	—	8	2	no	—
1005	C₂³×C₃	—	8	2	no	—
1006	C₂³×C₃	—	8	2	no	—
1007	C₂³×C₃	C₂²×D₄	1	2	yes	—
1008	C₂³×C₃	C₂²×D₄	1	2	yes	—
1009	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1010	C₃×Q₈	—	8	2	no	—
1011	C₃×Q₈	—	8	2	no	—
1012	C₃×D₄	—	4	4	no	—
1013	C₃×D₄	—	4	4	no	—
1014	C₃×D₄	—	4	4	no	—
1015	C₃×D₄	—	8	2	no	—
1016	C₃×D₄	—	8	2	no	—
1017	C₃×D₄	—	8	2	no	—
1018	C₃×D₄	—	8	2	no	—
1019	C₃×D₄	—	8	2	no	—
1020	C₃×D₄	—	8	2	no	—
1021	C₃×D₄	—	8	2	no	—
1022	C₃×D₄	—	8	2	no	—
1023	C₃×D₄	—	8	2	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	—	2	1	no	—
1065	C₂×C₃×C₄	—	2	1	no	—
1066	C₂×C₃×C₄	—	2	1	no	—
1067	C₂×C₃×C₄	—	2	1	no	—
1068	C₂×C₃×C₄	—	2	1	no	—
1069	C₂×C₃×C₄	—	2	1	no	—
1070	C₂×C₃×C₄	—	2	1	no	—
1071	C₂×C₃×C₄	—	2	1	no	—
1072	C₂×C₃×C₄	—	2	1	no	—
1073	C₂×C₃×C₄	—	2	1	no	—
1074	C₂×C₃×C₄	—	2	1	no	—
1075	C₂×C₃×C₄	—	2	1	no	—
1076	C₂×C₃×C₄	—	2	1	no	—
1077	C₂×C₃×C₄	—	2	1	no	—
1078	C₂×C₃×C₄	—	2	1	no	—
1079	C₂×C₃×C₄	—	2	1	no	—
1080	C₂×C₃×C₄	—	2	1	no	—
1081	C₂×C₃×C₄	—	2	1	no	—
1082	C₂×C₃×C₄	—	2	1	no	—
1083	C₂×C₃×C₄	—	2	1	no	—
1084	C₂×C₃×C₄	—	2	1	no	—
1085	C₂×C₃×C₄	—	2	1	no	—
1086	C₂×C₃×C₄	—	2	1	no	—
1087	C₂×C₃×C₄	—	2	1	no	—
1088	C₂×C₃×C₄	—	2	1	no	—
1089	C₂×C₃×C₄	—	2	1	no	—
1090	C₂×C₃×C₄	—	2	1	no	—
1091	C₂×C₃×C₄	—	2	1	no	—
1092	C₂×C₃×C₄	—	2	1	no	—
1093	C₂×C₃×C₄	—	4	4	no	—
1094	C₂×C₃×C₄	—	4	4	no	—
1095	C₂×C₃×C₄	—	4	4	no	—
1096	C₂×C₃×C₄	—	8	2	no	—
1097	C₂×C₃×C₄	—	8	2	no	—
1098	C₂×C₃×C₄	—	8	2	no	—
1099	C₂×C₃×C₄	—	8	2	no	—
1100	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1101	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1102	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1103	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1104	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1105	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1106	C₂⁴	—	2	2	no	—
1107	C₂⁴	—	4	1	no	—
1108	C₂⁴	—	4	1	no	—
1109	C₂⁴	—	4	1	no	—
1110	C₂⁴	—	4	1	no	—
1111	C₂⁴	—	4	1	no	—
1112	C₂⁴	—	4	1	no	—
1113	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1114	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1115	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1116	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1117	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1118	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1119	C₂×Q₈	—	2	2	no	—
1120	C₂×Q₈	—	2	2	no	—
1121	C₂×Q₈	—	4	1	no	—
1122	C₂×Q₈	—	4	1	no	—
1123	C₂×Q₈	—	4	1	no	—
1124	C₂×Q₈	—	4	1	no	—
1125	C₂×D₄	—	2	2	no	—
1126	C₂×D₄	—	2	2	no	—
1127	C₂×D₄	—	2	2	no	—
1128	C₂×D₄	—	2	2	no	—
1129	C₂×D₄	—	2	2	no	—
1130	C₂×D₄	—	2	2	no	—
1131	C₂×D₄	—	2	2	no	—
1132	C₂×D₄	—	2	2	no	—
1133	C₂×D₄	—	2	2	no	—
1134	C₂×D₄	—	4	1	no	—
1135	C₂×D₄	—	4	1	no	—
1136	C₂×D₄	—	4	1	no	—
1137	C₂×D₄	—	4	1	no	—
1138	C₂×D₄	—	4	1	no	—
1139	C₂×D₄	—	4	1	no	—
1140	C₂×D₄	—	4	1	no	—
1141	C₂×D₄	—	4	1	no	—
1142	C₂×D₄	—	4	1	no	—
1143	C₂×D₄	—	4	1	no	—
1144	C₂×D₄	—	4	1	no	—
1145	C₂×D₄	—	4	1	no	—
1146	C₂×D₄	—	4	1	no	—
1147	C₂×D₄	—	4	1	no	—
1148	C₂×D₄	—	4	1	no	—
1149	C₂×D₄	—	4	1	no	—
1150	C₂×D₄	—	4	1	no	—
1151	C₂×D₄	—	4	1	no	—
1152	C₂×D₄	—	4	1	no	—
1153	C₂×D₄	—	4	1	no	—
1154	C₂×D₄	—	4	1	no	—
1155	C₂×D₄	—	4	1	no	—
1156	C₂×D₄	—	4	1	no	—
1157	C₂×D₄	—	4	1	no	—
1158	C₂×D₄	—	4	1	no	—
1159	C₂×D₄	—	4	1	no	—
1160	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
1161	C₂²×C₄	—	2	2	no	—
1162	C₂²×C₄	—	2	2	no	—
1163	C₂²×C₄	—	2	2	no	—
1164	C₂²×C₄	—	2	2	no	—
1165	C₂²×C₄	—	2	2	no	—
1166	C₂²×C₄	—	4	1	no	—
1167	C₂²×C₄	—	4	1	no	—
1168	C₂²×C₄	—	4	1	no	—
1169	C₂²×C₄	—	4	1	no	—
1170	C₂²×C₄	—	4	1	no	—
1171	C₂²×C₄	—	4	1	no	—
1172	C₂²×C₄	—	4	1	no	—
1173	C₂²×C₄	—	4	1	no	—
1174	C₂²×C₄	—	4	1	no	—
1175	C₂²×C₄	—	4	1	no	—
1176	C₂²×C₄	—	4	1	no	—
1177	C₂²×C₄	—	4	1	no	—
1178	C₂²×C₄	—	4	1	no	—
1179	C₂²×C₄	—	4	1	no	—
1180	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
1181	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
1182	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1183	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1184	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1185	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1186	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1187	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1188	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1189	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1190	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1191	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1194	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1195	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1196	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1200	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1201	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1202	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1203	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1204	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1205	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1206	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1207	C₄⋊C₄	—	2	2	no	—
1208	C₄⋊C₄	—	2	2	no	—
1209	C₄⋊C₄	—	2	2	no	—
1210	C₄⋊C₄	—	2	2	no	—
1211	C₄⋊C₄	—	2	2	no	—
1212	C₄⋊C₄	—	2	2	no	—
1213	C₄⋊C₄	—	2	2	no	—
1214	C₄⋊C₄	—	2	2	no	—
1215	C₄⋊C₄	—	2	2	no	—
1216	C₄⋊C₄	—	2	2	no	—
1217	C₄⋊C₄	—	2	2	no	—
1218	C₄⋊C₄	—	2	2	no	—
1219	C₄⋊C₄	—	2	2	no	—
1220	C₄⋊C₄	—	2	2	no	—
1221	C₄⋊C₄	—	2	2	no	—
1222	C₄⋊C₄	—	2	2	no	—
1223	C₄⋊C₄	—	2	2	no	—
1224	C₄⋊C₄	—	2	2	no	—
1225	C₄⋊C₄	—	2	2	no	—
1226	C₄⋊C₄	—	2	2	no	—
1227	C₄⋊C₄	—	2	2	no	—
1228	C₄⋊C₄	—	4	1	no	—
1229	C₄⋊C₄	—	4	1	no	—
1230	C₄⋊C₄	—	4	1	no	—
1231	C₄⋊C₄	—	4	1	no	—
1232	C₄⋊C₄	—	4	1	no	—
1233	C₄⋊C₄	—	4	1	no	—
1234	C₄⋊C₄	—	4	1	no	—
1235	C₄⋊C₄	—	4	1	no	—
1236	C₄⋊C₄	—	4	1	no	—
1237	C₄⋊C₄	—	4	1	no	—
1238	C₄⋊C₄	—	4	1	no	—
1239	C₄⋊C₄	—	4	1	no	—
1240	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
1241	C₂²⋊C₄	—	2	2	no	—
1242	C₂²⋊C₄	—	2	2	no	—
1243	C₂²⋊C₄	—	2	2	no	—
1244	C₂²⋊C₄	—	2	2	no	—
1245	C₂²⋊C₄	—	2	2	no	—
1246	C₂²⋊C₄	—	2	2	no	—
1247	C₂²⋊C₄	—	2	2	no	—
1248	C₂²⋊C₄	—	2	2	no	—
1249	C₂²⋊C₄	—	2	2	no	—
1250	C₂²⋊C₄	—	2	2	no	—
1251	C₂²⋊C₄	—	2	2	no	—
1252	C₂²⋊C₄	—	2	2	no	—
1253	C₂²⋊C₄	—	2	2	no	—
1254	C₂²⋊C₄	—	2	2	no	—
1255	C₂²⋊C₄	—	2	2	no	—
1256	C₂²⋊C₄	—	2	2	no	—
1257	C₂²⋊C₄	—	2	2	no	—
1258	C₂²⋊C₄	—	2	2	no	—
1259	C₂²⋊C₄	—	2	2	no	—
1260	C₂²⋊C₄	—	2	2	no	—
1261	C₂²⋊C₄	—	2	2	no	—
1262	C₂²⋊C₄	—	2	2	no	—
1263	C₂²⋊C₄	—	2	2	no	—
1264	C₂²⋊C₄	—	2	2	no	—
1265	C₂²⋊C₄	—	4	1	no	—
1266	C₂²⋊C₄	—	4	1	no	—
1267	C₂²⋊C₄	—	4	1	no	—
1268	C₂²⋊C₄	—	4	1	no	—
1269	C₂²⋊C₄	—	4	1	no	—
1270	C₂²⋊C₄	—	4	1	no	—
1271	C₂²⋊C₄	—	4	1	no	—
1272	C₂²⋊C₄	—	4	1	no	—
1273	C₂²⋊C₄	—	4	1	no	—
1274	C₂²⋊C₄	—	4	1	no	—
1275	C₂²⋊C₄	—	4	1	no	—
1276	C₂²⋊C₄	—	4	1	no	—
1277	C₂²⋊C₄	—	4	1	no	—
1278	C₂²⋊C₄	—	4	1	no	—
1279	C₂²⋊C₄	—	4	1	no	—
1280	C₂²⋊C₄	—	4	1	no	—
1281	C₂²⋊C₄	—	4	1	no	—
1282	C₂²⋊C₄	—	4	1	no	—
1283	C₂²⋊C₄	—	4	1	no	—
1284	C₂²⋊C₄	—	4	1	no	—
1285	C₂²⋊C₄	—	4	1	no	—
1286	C₂²⋊C₄	—	4	1	no	—
1287	C₂²⋊C₄	—	4	1	no	—
1288	C₂²⋊C₄	—	4	1	no	—
1289	C₂²⋊C₄	—	4	1	no	—
1290	C₂²⋊C₄	—	4	1	no	—
1291	C₂²⋊C₄	—	4	1	no	—
1292	C₂²⋊C₄	—	4	1	no	—
1293	C₂²⋊C₄	—	4	1	no	—
1294	C₂²⋊C₄	—	4	1	no	—
1295	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
1296	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
1297	C₄²	—	2	2	no	—
1298	C₄²	—	2	2	no	—
1299	C₄²	—	2	2	no	—
1300	C₄²	—	4	1	no	—
1301	C₄²	—	4	1	no	—
1302	C₄²	—	4	1	no	—
1303	C₄²	—	4	1	no	—
1304	C₄²	—	4	1	no	—
1305	C₄²	—	4	1	no	—
1306	C₄²	—	4	1	no	—
1307	C₄²	C₂×C₃×D₄	1	4	yes	—
1308	C₂²×C₃	—	2	2	no	—
1309	C₂²×C₃	—	2	2	no	—
1310	C₂²×C₃	—	2	2	no	—
1311	C₂²×C₃	—	2	2	no	—
1312	C₂²×C₃	—	2	2	no	—
1313	C₂²×C₃	—	2	2	no	—
1314	C₂²×C₃	—	4	1	no	—
1315	C₂²×C₃	—	4	1	no	—
1316	C₂²×C₃	—	4	1	no	—
1317	C₂²×C₃	—	4	1	no	—
1318	C₂²×C₃	—	4	1	no	—
1319	C₂²×C₃	—	4	1	no	—
1320	C₂²×C₃	—	4	1	no	—
1321	C₂²×C₃	—	4	1	no	—
1322	C₂²×C₃	—	4	1	no	—
1323	C₂²×C₃	—	4	1	no	—
1324	C₂²×C₃	—	4	1	no	—
1325	C₂²×C₃	—	4	1	no	—
1326	C₂²×C₃	—	4	1	no	—
1327	C₂²×C₃	—	4	1	no	—
1328	C₂²×C₃	—	4	1	no	—
1329	C₂²×C₃	—	4	1	no	—
1330	C₂²×C₃	—	4	1	no	—
1331	C₂²×C₃	—	4	1	no	—
1332	C₂²×C₃	—	4	1	no	—
1333	C₂²×C₃	—	4	1	no	—
1334	C₂²×C₃	—	4	1	no	—
1335	C₂²×C₃	—	4	1	no	—
1336	C₂²×C₃	—	4	1	no	—
1337	C₂²×C₃	—	4	1	no	—
1338	C₂²×C₃	—	4	1	no	—
1339	C₂²×C₃	—	4	1	no	—
1340	C₂²×C₃	—	4	1	no	—
1341	C₂²×C₃	—	4	1	no	—
1342	C₂²×C₃	—	4	1	no	—
1343	C₂²×C₃	—	4	1	no	—
1344	C₂²×C₃	—	4	1	no	—
1345	C₂²×C₃	—	4	1	no	—
1346	C₂²×C₃	—	4	1	no	—
1347	C₂²×C₃	—	4	1	no	—
1348	C₂²×C₃	—	4	1	no	—
1349	C₂²×C₃	—	4	1	no	—
1350	C₂²×C₃	—	8	8	no	—
1351	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1352	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1353	C₂²×C₃	#585	1	1	yes	characteristic
1354	C₂²×C₃	#585	1	1	yes	characteristic
1355	C₂²×C₃	#585	1	1	yes	characteristic
1356	C₂²×C₃	#585	1	1	yes	characteristic
1357	C₂²×C₃	#585	1	1	yes	characteristic
1358	C₃×C₄	—	2	2	no	—
1359	C₃×C₄	—	2	2	no	—
1360	C₃×C₄	—	2	2	no	—
1361	C₃×C₄	—	2	2	no	—
1362	C₃×C₄	—	2	2	no	—
1363	C₃×C₄	—	2	2	no	—
1364	C₃×C₄	—	4	1	no	—
1365	C₃×C₄	—	4	1	no	—
1366	C₃×C₄	—	4	1	no	—
1367	C₃×C₄	—	4	1	no	—
1368	C₃×C₄	—	4	1	no	—
1369	C₃×C₄	—	4	1	no	—
1370	C₃×C₄	—	4	1	no	—
1371	C₃×C₄	—	4	1	no	—
1372	C₃×C₄	—	4	1	no	—
1373	C₃×C₄	—	4	1	no	—
1374	C₃×C₄	—	4	1	no	—
1375	C₃×C₄	—	4	1	no	—
1376	C₃×C₄	—	4	1	no	—
1377	C₃×C₄	—	4	1	no	—
1378	C₃×C₄	—	4	1	no	—
1379	C₃×C₄	—	4	1	no	—
1380	C₃×C₄	—	4	1	no	—
1381	C₃×C₄	—	4	1	no	—
1382	C₃×C₄	—	4	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	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	1	no	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	2	1	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	1	no	—
1396	C₂³	—	2	1	no	—
1397	C₂³	—	2	1	no	—
1398	C₂³	—	2	1	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	2	1	no	—
1401	C₂³	—	2	1	no	—
1402	C₂³	—	2	1	no	—
1403	C₂³	—	2	1	no	—
1404	C₂³	—	2	1	no	—
1405	C₂³	—	2	1	no	—
1406	C₂³	—	2	1	no	—
1407	C₂³	—	2	1	no	—
1408	C₂³	—	2	1	no	—
1409	C₂³	—	2	1	no	—
1410	C₂³	—	2	1	no	—
1411	C₂³	—	2	1	no	—
1412	C₂³	—	2	1	no	—
1413	C₂³	—	2	1	no	—
1414	C₂³	—	2	1	no	—
1415	C₂³	—	2	1	no	—
1416	C₂³	—	2	1	no	—
1417	C₂³	—	2	1	no	—
1418	C₂³	—	2	1	no	—
1419	C₂³	—	2	1	no	—
1420	C₂³	—	2	1	no	—
1421	C₂³	—	2	1	no	—
1422	C₂³	—	2	1	no	—
1423	C₂³	—	4	4	no	—
1424	C₂³	—	8	2	no	—
1425	C₂³	—	8	2	no	—
1426	C₂³	—	8	2	no	—
1427	C₂³	—	8	2	no	—
1428	C₂³	—	8	2	no	—
1429	C₂³	—	8	2	no	—
1430	C₂³	C₂²×C₃×D₄	1	2	yes	—
1431	C₂³	C₂²×C₃×D₄	1	2	yes	—
1432	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1433	Q₈	—	8	2	no	—
1434	Q₈	—	8	2	no	—
1435	D₄	—	4	4	no	—
1436	D₄	—	4	4	no	—
1437	D₄	—	4	4	no	—
1438	D₄	—	8	2	no	—
1439	D₄	—	8	2	no	—
1440	D₄	—	8	2	no	—
1441	D₄	—	8	2	no	—
1442	D₄	—	8	2	no	—
1443	D₄	—	8	2	no	—
1444	D₄	—	8	2	no	—
1445	D₄	—	8	2	no	—
1446	D₄	—	8	2	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	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	4	4	no	—
1517	C₂×C₄	—	4	4	no	—
1518	C₂×C₄	—	4	4	no	—
1519	C₂×C₄	—	8	2	no	—
1520	C₂×C₄	—	8	2	no	—
1521	C₂×C₄	—	8	2	no	—
1522	C₂×C₄	—	8	2	no	—
1523	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1524	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1525	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1526	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1527	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1528	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1529	C₂×C₃	—	4	2	no	—
1530	C₂×C₃	—	4	2	no	—
1531	C₂×C₃	—	8	1	no	—
1532	C₂×C₃	—	8	1	no	—
1533	C₂×C₃	—	8	1	no	—
1534	C₂×C₃	—	8	1	no	—
1535	C₂×C₃	#3449	1	1	yes	characteristic
1536	C₂×C₃	#3496	1	1	yes	characteristic
1537	C₂×C₃	#3500	1	1	yes	characteristic
1538	C₂×C₃	#3560	1	1	yes	characteristic
1539	C₂×C₃	#3562	1	1	yes	characteristic
1540	C₂×C₃	#3566	1	1	yes	characteristic
1541	C₂×C₃	#3566	1	1	yes	characteristic
1542	C₂²	—	2	2	no	—
1543	C₂²	—	2	2	no	—
1544	C₂²	—	2	2	no	—
1545	C₂²	—	2	2	no	—
1546	C₂²	—	2	2	no	—
1547	C₂²	—	2	2	no	—
1548	C₂²	—	4	1	no	—
1549	C₂²	—	4	1	no	—
1550	C₂²	—	4	1	no	—
1551	C₂²	—	4	1	no	—
1552	C₂²	—	4	1	no	—
1553	C₂²	—	4	1	no	—
1554	C₂²	—	4	1	no	—
1555	C₂²	—	4	1	no	—
1556	C₂²	—	4	1	no	—
1557	C₂²	—	4	1	no	—
1558	C₂²	—	4	1	no	—
1559	C₂²	—	4	1	no	—
1560	C₂²	—	4	1	no	—
1561	C₂²	—	4	1	no	—
1562	C₂²	—	4	1	no	—
1563	C₂²	—	4	1	no	—
1564	C₂²	—	4	1	no	—
1565	C₂²	—	4	1	no	—
1566	C₂²	—	4	1	no	—
1567	C₂²	—	4	1	no	—
1568	C₂²	—	4	1	no	—
1569	C₂²	—	4	1	no	—
1570	C₂²	—	4	1	no	—
1571	C₂²	—	4	1	no	—
1572	C₂²	—	4	1	no	—
1573	C₂²	—	4	1	no	—
1574	C₂²	—	4	1	no	—
1575	C₂²	—	4	1	no	—
1576	C₂²	—	4	1	no	—
1577	C₂²	—	4	1	no	—
1578	C₂²	—	4	1	no	—
1579	C₂²	—	4	1	no	—
1580	C₂²	—	4	1	no	—
1581	C₂²	—	4	1	no	—
1582	C₂²	—	4	1	no	—
1583	C₂²	—	4	1	no	—
1584	C₂²	—	8	8	no	—
1585	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1586	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1587	C₂²	C₃×#585	1	1	yes	characteristic
1588	C₂²	C₃×#585	1	1	yes	characteristic
1589	C₂²	C₃×#585	1	1	yes	characteristic
1590	C₂²	C₃×#585	1	1	yes	characteristic
1591	C₂²	C₃×#585	1	1	yes	characteristic
1592	C₄	—	2	2	no	—
1593	C₄	—	2	2	no	—
1594	C₄	—	2	2	no	—
1595	C₄	—	2	2	no	—
1596	C₄	—	2	2	no	—
1597	C₄	—	2	2	no	—
1598	C₄	—	4	1	no	—
1599	C₄	—	4	1	no	—
1600	C₄	—	4	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	—	4	1	no	—
1608	C₄	—	4	1	no	—
1609	C₄	—	4	1	no	—
1610	C₄	—	4	1	no	—
1611	C₄	—	4	1	no	—
1612	C₄	—	4	1	no	—
1613	C₄	—	4	1	no	—
1614	C₄	—	4	1	no	—
1615	C₄	—	4	1	no	—
1616	C₄	—	4	1	no	—
1617	C₃	#37133	1	1	yes	characteristic, direct product factor, Sylow
1618	C₂	—	4	2	no	—
1619	C₂	—	4	2	no	—
1620	C₂	—	8	1	no	—
1621	C₂	—	8	1	no	—
1622	C₂	—	8	1	no	—
1623	C₂	—	8	1	no	—
1624	C₂	C₃×#3449	1	1	yes	characteristic
1625	C₂	C₃×#3496	1	1	yes	characteristic
1626	C₂	C₃×#3500	1	1	yes	characteristic
1627	C₂	C₃×#3560	1	1	yes	characteristic
1628	C₂	C₃×#3562	1	1	yes	characteristic
1629	C₂	C₃×#3566	1	1	yes	characteristic
1630	C₂	C₃×#3566	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. C₂×C₃×#539	C₂	semidirect
2. C₂×C₃×#538	C₂	semidirect
3. C₃×#2861	C₂	semidirect
4. C₃×#2860	C₂	semidirect
5. C₃×#2725	C₂	semidirect
6. C₃×#2710	C₂	semidirect
7. C₃×#2707	C₂	semidirect
8. C₃×#2703	C₂	semidirect
9. C₃×#2702	C₂	semidirect
10. C₃×#2701	C₂	semidirect
11. C₃×#2700	C₂	semidirect
12. C₃×#2699	C₂	semidirect
13. C₃×#2697	C₂	semidirect
14. C₃×#2689	C₂	semidirect
15. C₃×#2687	C₂	semidirect
16. C₃×#2685	C₂	semidirect
17. C₃×#2681	C₂	semidirect
18. C₃×#2681	C₂	semidirect
19. C₃×#2678	C₂	semidirect
20. C₃×#2678	C₂	semidirect
21. C₃×#2664	C₂	semidirect
22. C₃×#2662	C₂	semidirect
23. C₃×#2602	C₂	semidirect
24. C₃×#2602	C₂	semidirect
25. C₃×#2591	C₂	semidirect
26. C₃×#2561	C₂	semidirect
27. C₃×#2415	C₂	semidirect
28. C₃×#2414	C₂	semidirect
29. C₃×#2413	C₂	semidirect
30. C₃×#2411	C₂	semidirect
31. C₃×#2293	C₂	semidirect
32. #37133	C₃	direct (N × H)
38. C₂×C₃×#126	C₂²	semidirect
39. C₂×C₃×#125	C₂²	semidirect
40. C₂×C₃×#125	C₂²	semidirect
49. C₂×C₃×#123	C₂²	semidirect
52. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
53. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
54. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
65. C₂×C₃×C₄×D₄	C₂²	semidirect
67. C₂×C₃×#117	C₂²	semidirect
68. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
70. C₃×#400	C₂²	semidirect
71. C₃×#400	C₂²	semidirect
72. C₃×#400	C₂²	semidirect
74. C₃×#398	C₂²	semidirect
75. C₃×#398	C₂²	semidirect
76. C₃×#398	C₂²	semidirect
77. C₃×#398	C₂²	semidirect
78. C₃×#398	C₂²	semidirect
85. C₃×#397	C₂²	semidirect
93. C₃×#396	C₂²	semidirect
94. C₃×#395	C₂²	semidirect
107. C₃×#394	C₂²	semidirect
108. C₃×#394	C₂²	semidirect
109. C₃×#394	C₂²	semidirect
112. C₃×#393	C₂²	semidirect
117. C₃×#392	C₂²	semidirect
118. C₃×#391	C₂²	semidirect
119. C₃×#391	C₂²	semidirect
120. C₃×#391	C₂²	semidirect
130. C₃×#390	C₂²	semidirect
131. C₃×#389	C₂²	semidirect
132. C₃×#389	C₂²	semidirect
133. C₃×#389	C₂²	semidirect
134. C₃×#389	C₂²	semidirect
135. C₃×#389	C₂²	semidirect
136. C₃×#389	C₂²	semidirect
137. C₃×#389	C₂²	semidirect
138. C₃×#389	C₂²	semidirect
139. C₃×#389	C₂²	semidirect
153. C₃×#388	C₂²	semidirect
154. C₃×#388	C₂²	semidirect
155. C₃×#388	C₂²	semidirect
156. C₃×#388	C₂²	semidirect
157. C₃×#388	C₂²	semidirect
158. C₃×#388	C₂²	semidirect
159. C₃×#388	C₂²	semidirect
160. C₃×#388	C₂²	semidirect
161. C₃×#388	C₂²	semidirect
162. C₃×#388	C₂²	semidirect
163. C₃×#388	C₂²	semidirect
164. C₃×#387	C₂²	semidirect
165. C₃×#387	C₂²	semidirect
171. C₃×#386	C₂²	semidirect
172. C₃×#386	C₂²	semidirect
173. C₃×#386	C₂²	semidirect
175. C₃×#385	C₂²	semidirect
176. C₃×#385	C₂²	semidirect
177. C₃×#385	C₂²	semidirect
180. C₃×#381	C₂²	semidirect
181. C₃×#380	C₂²	semidirect
182. C₃×#380	C₂²	semidirect
186. C₃×C₄×C₄⋊C₄	C₂²	semidirect
188. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
189. C₃×C₄³	C₂²	semidirect
190. C₂×#539	C₂×C₃	semidirect
191. C₂×#538	C₂×C₃	semidirect
192. #2861	C₂×C₃	semidirect
193. #2860	C₂×C₃	semidirect
194. #2725	C₂×C₃	semidirect
195. #2710	C₂×C₃	semidirect
196. #2707	C₂×C₃	semidirect
197. #2703	C₂×C₃	semidirect
198. #2702	C₂×C₃	semidirect
199. #2701	C₂×C₃	semidirect
200. #2700	C₂×C₃	semidirect
201. #2699	C₂×C₃	semidirect
202. #2697	C₂×C₃	semidirect
203. #2689	C₂×C₃	semidirect
204. #2687	C₂×C₃	semidirect
205. #2685	C₂×C₃	semidirect
206. #2681	C₂×C₃	semidirect
207. #2681	C₂×C₃	semidirect
208. #2678	C₂×C₃	semidirect
209. #2678	C₂×C₃	semidirect
210. #2664	C₂×C₃	semidirect
211. #2662	C₂×C₃	semidirect
212. #2602	C₂×C₃	semidirect
213. #2602	C₂×C₃	semidirect
214. #2591	C₂×C₃	semidirect
215. #2561	C₂×C₃	semidirect
216. #2415	C₂×C₃	semidirect
217. #2414	C₂×C₃	semidirect
218. #2413	C₂×C₃	semidirect
219. #2411	C₂×C₃	semidirect
220. #2293	C₂×C₃	semidirect
273. C₃×C₄×D₄	D₄	semidirect
416. C₂×#126	C₂²×C₃	semidirect
417. C₂×#125	C₂²×C₃	semidirect
418. C₂×#125	C₂²×C₃	semidirect
427. C₂×#123	C₂²×C₃	semidirect
430. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
431. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
432. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
443. C₂×C₄×D₄	C₂²×C₃	semidirect
445. C₂×#117	C₂²×C₃	semidirect
446. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
448. #400	C₂²×C₃	semidirect
449. #400	C₂²×C₃	semidirect
450. #400	C₂²×C₃	semidirect
452. #398	C₂²×C₃	semidirect
453. #398	C₂²×C₃	semidirect
454. #398	C₂²×C₃	semidirect
455. #398	C₂²×C₃	semidirect
456. #398	C₂²×C₃	semidirect
463. #397	C₂²×C₃	semidirect
471. #396	C₂²×C₃	semidirect
472. #395	C₂²×C₃	semidirect
485. #394	C₂²×C₃	semidirect
486. #394	C₂²×C₃	semidirect
487. #394	C₂²×C₃	semidirect
490. #393	C₂²×C₃	semidirect
495. #392	C₂²×C₃	semidirect
496. #391	C₂²×C₃	semidirect
497. #391	C₂²×C₃	semidirect
498. #391	C₂²×C₃	semidirect
508. #390	C₂²×C₃	semidirect
509. #389	C₂²×C₃	semidirect
510. #389	C₂²×C₃	semidirect
511. #389	C₂²×C₃	semidirect
512. #389	C₂²×C₃	semidirect
513. #389	C₂²×C₃	semidirect
514. #389	C₂²×C₃	semidirect
515. #389	C₂²×C₃	semidirect
516. #389	C₂²×C₃	semidirect
517. #389	C₂²×C₃	semidirect
531. #388	C₂²×C₃	semidirect
532. #388	C₂²×C₃	semidirect
533. #388	C₂²×C₃	semidirect
534. #388	C₂²×C₃	semidirect
535. #388	C₂²×C₃	semidirect
536. #388	C₂²×C₃	semidirect
537. #388	C₂²×C₃	semidirect
538. #388	C₂²×C₃	semidirect
539. #388	C₂²×C₃	semidirect
540. #388	C₂²×C₃	semidirect
541. #388	C₂²×C₃	semidirect
542. #387	C₂²×C₃	semidirect
543. #387	C₂²×C₃	semidirect
549. #386	C₂²×C₃	semidirect
550. #386	C₂²×C₃	semidirect
551. #386	C₂²×C₃	semidirect
553. #385	C₂²×C₃	semidirect
554. #385	C₂²×C₃	semidirect
555. #385	C₂²×C₃	semidirect
558. #381	C₂²×C₃	semidirect
559. #380	C₂²×C₃	semidirect
560. #380	C₂²×C₃	semidirect
564. C₄×C₄⋊C₄	C₂²×C₃	semidirect
566. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
567. C₄³	C₂²×C₃	semidirect
822. C₄×D₄	C₃×D₄	semidirect
1617. C₃	#37133	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×#539	2
C₂×C₃×#538	2
C₃×#2861	2
C₃×#2860	2
C₃×#2725	2
C₃×#2710	2
C₃×#2707	2
C₃×#2703	2
C₃×#2702	2
C₃×#2701	2
C₃×#2700	2
C₃×#2699	2
C₃×#2697	2
C₃×#2689	2
C₃×#2687	2
C₃×#2685	2
C₃×#2681	2
C₃×#2678	2
C₃×#2664	2
C₃×#2662	2
C₃×#2602	2
C₃×#2591	2
C₃×#2561	2
C₃×#2415	2
C₃×#2414	2
C₃×#2413	2
C₃×#2411	2
C₃×#2293	2
#37133	3

Subgroups — C3×#37133 #10655740

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#37133 #10655740