Subgroups — C₃×#37259 #10655866

Order 768.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#541	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2852	C₂	1	1	yes	maximal, characteristic
4	C₃×#2851	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2734	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2729	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2729	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2728	C₂	1	1	yes	maximal, characteristic
9	C₃×#2726	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2725	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2723	C₂	1	1	yes	maximal, characteristic
12	C₃×#2720	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2720	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2719	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2716	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2713	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2704	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2702	C₂	1	1	yes	maximal, characteristic
19	C₃×#2692	C₂	1	1	yes	maximal, characteristic
20	C₃×#2690	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2637	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2634	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2611	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#2609	C₂	1	1	yes	maximal, characteristic
25	C₃×#2604	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2601	C₂	1	1	yes	maximal, characteristic
27	C₃×#2599	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2599	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#2581	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#2565	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#2320	C₂	1	1	yes	maximal, characteristic, complemented
32	#37259	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₃×#541	—	2	8	no	—
34	C₃×#533	—	2	8	no	—
35	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
38	C₂×C₃×#126	C₂²	1	1	yes	characteristic
39	C₂×C₃×#126	C₂²	1	1	yes	characteristic
40	C₂×C₃×#126	C₂²	1	1	yes	characteristic
41	C₂×C₃×#126	C₂²	1	1	yes	characteristic
42	C₂×C₃×#125	C₂²	1	1	yes	characteristic
43	C₂×C₃×#125	C₂²	1	1	yes	characteristic
44	C₂×C₃×#125	C₂²	1	1	yes	characteristic
45	C₂×C₃×#125	C₂²	1	1	yes	characteristic
46	C₂×C₃×#125	C₂²	1	1	yes	characteristic
47	C₂×C₃×#125	C₂²	1	1	yes	characteristic
48	C₂×C₃×#125	C₂²	1	1	yes	characteristic
49	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
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
53	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
54	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
55	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
56	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
57	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
58	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
59	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
60	C₂×C₃×#117	C₂²	1	1	yes	characteristic
61	C₂×C₃×#117	C₂²	1	1	yes	characteristic
62	C₂×C₃×#117	C₂²	1	1	yes	characteristic
63	C₂²×C₃×C₄²	C₂²	1	1	yes	characteristic
64	C₃×#400	C₂²	1	1	yes	characteristic
65	C₃×#400	C₂²	1	1	yes	characteristic
66	C₃×#400	C₂²	1	1	yes	characteristic
67	C₃×#400	C₂²	1	1	yes	characteristic
68	C₃×#400	C₂²	1	1	yes	characteristic
69	C₃×#400	C₂²	1	1	yes	characteristic
70	C₃×#400	C₂²	1	1	yes	characteristic
71	C₃×#400	C₂²	1	1	yes	characteristic
72	C₃×#399	C₂²	1	1	yes	characteristic
73	C₃×#399	C₂²	1	1	yes	characteristic
74	C₃×#398	C₂²	1	1	yes	characteristic
75	C₃×#398	C₂²	1	1	yes	characteristic
76	C₃×#398	C₂²	1	1	yes	characteristic
77	C₃×#398	C₂²	1	1	yes	characteristic
78	C₃×#398	C₂²	1	1	yes	characteristic
79	C₃×#398	C₂²	1	1	yes	characteristic
80	C₃×#398	C₂²	1	1	yes	characteristic
81	C₃×#398	C₂²	1	1	yes	characteristic
82	C₃×#398	C₂²	1	1	yes	characteristic
83	C₃×#398	C₂²	1	1	yes	characteristic
84	C₃×#398	C₂²	1	1	yes	characteristic
85	C₃×#398	C₂²	1	1	yes	characteristic
86	C₃×#398	C₂²	1	1	yes	characteristic
87	C₃×#398	C₂²	1	1	yes	characteristic
88	C₃×#397	C₂²	1	1	yes	characteristic
89	C₃×#397	C₂²	1	1	yes	characteristic
90	C₃×#397	C₂²	1	1	yes	characteristic
91	C₃×#397	C₂²	1	1	yes	characteristic
92	C₃×#396	C₂²	1	1	yes	characteristic
93	C₃×#396	C₂²	1	1	yes	characteristic
94	C₃×#396	C₂²	1	1	yes	characteristic
95	C₃×#396	C₂²	1	1	yes	characteristic
96	C₃×#396	C₂²	1	1	yes	characteristic
97	C₃×#396	C₂²	1	1	yes	characteristic
98	C₃×#395	C₂²	1	1	yes	characteristic
99	C₃×#395	C₂²	1	1	yes	characteristic
100	C₃×#395	C₂²	1	1	yes	characteristic
101	C₃×#395	C₂²	1	1	yes	characteristic
102	C₃×#395	C₂²	1	1	yes	characteristic
103	C₃×#395	C₂²	1	1	yes	characteristic
104	C₃×#395	C₂²	1	1	yes	characteristic
105	C₃×#395	C₂²	1	1	yes	characteristic
106	C₃×#394	C₂²	1	1	yes	characteristic
107	C₃×#394	C₂²	1	1	yes	characteristic
108	C₃×#393	C₂²	1	1	yes	characteristic
109	C₃×#393	C₂²	1	1	yes	characteristic
110	C₃×#393	C₂²	1	1	yes	characteristic
111	C₃×#393	C₂²	1	1	yes	characteristic
112	C₃×#391	C₂²	1	1	yes	characteristic
113	C₃×#391	C₂²	1	1	yes	characteristic
114	C₃×#391	C₂²	1	1	yes	characteristic
115	C₃×#391	C₂²	1	1	yes	characteristic
116	C₃×#391	C₂²	1	1	yes	characteristic
117	C₃×#391	C₂²	1	1	yes	characteristic
118	C₃×#390	C₂²	1	1	yes	characteristic
119	C₃×#389	C₂²	1	1	yes	characteristic
120	C₃×#389	C₂²	1	1	yes	characteristic
121	C₃×#389	C₂²	1	1	yes	characteristic
122	C₃×#389	C₂²	1	1	yes	characteristic
123	C₃×#389	C₂²	1	1	yes	characteristic
124	C₃×#389	C₂²	1	1	yes	characteristic
125	C₃×#389	C₂²	1	1	yes	characteristic
126	C₃×#389	C₂²	1	1	yes	characteristic
127	C₃×#389	C₂²	1	1	yes	characteristic
128	C₃×#389	C₂²	1	1	yes	characteristic
129	C₃×#389	C₂²	1	1	yes	characteristic
130	C₃×#388	C₂²	1	1	yes	characteristic
131	C₃×#388	C₂²	1	1	yes	characteristic
132	C₃×#388	C₂²	1	1	yes	characteristic
133	C₃×#388	C₂²	1	1	yes	characteristic
134	C₃×#388	C₂²	1	1	yes	characteristic
135	C₃×#388	C₂²	1	1	yes	characteristic
136	C₃×#388	C₂²	1	1	yes	characteristic
137	C₃×#388	C₂²	1	1	yes	characteristic
138	C₃×#388	C₂²	1	1	yes	characteristic
139	C₃×#388	C₂²	1	1	yes	characteristic
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×#387	C₂²	1	1	yes	characteristic
145	C₃×#387	C₂²	1	1	yes	characteristic
146	C₃×#387	C₂²	1	1	yes	characteristic
147	C₃×#387	C₂²	1	1	yes	characteristic
148	C₃×#387	C₂²	1	1	yes	characteristic
149	C₃×#387	C₂²	1	1	yes	characteristic
150	C₃×#387	C₂²	1	1	yes	characteristic
151	C₃×#387	C₂²	1	1	yes	characteristic
152	C₃×#387	C₂²	1	1	yes	characteristic
153	C₃×#387	C₂²	1	1	yes	characteristic
154	C₃×#387	C₂²	1	1	yes	characteristic
155	C₃×#387	C₂²	1	1	yes	characteristic
156	C₃×#387	C₂²	1	1	yes	characteristic
157	C₃×#387	C₂²	1	1	yes	characteristic
158	C₃×#387	C₂²	1	1	yes	characteristic
159	C₃×#387	C₂²	1	1	yes	characteristic
160	C₃×#387	C₂²	1	1	yes	characteristic
161	C₃×#387	C₂²	1	1	yes	characteristic
162	C₃×#387	C₂²	1	1	yes	characteristic
163	C₃×#387	C₂²	1	1	yes	characteristic
164	C₃×#387	C₂²	1	1	yes	characteristic
165	C₃×#387	C₂²	1	1	yes	characteristic
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×#385	C₂²	1	1	yes	characteristic
171	C₃×#385	C₂²	1	1	yes	characteristic
172	C₃×#385	C₂²	1	1	yes	characteristic
173	C₃×#385	C₂²	1	1	yes	characteristic
174	C₃×#385	C₂²	1	1	yes	characteristic
175	C₃×#385	C₂²	1	1	yes	characteristic
176	C₃×#385	C₂²	1	1	yes	characteristic
177	C₃×#385	C₂²	1	1	yes	characteristic
178	C₃×#385	C₂²	1	1	yes	characteristic
179	C₃×#385	C₂²	1	1	yes	characteristic
180	C₃×#384	C₂²	1	1	yes	characteristic
181	C₃×#383	C₂²	1	1	yes	characteristic
182	C₃×#383	C₂²	1	1	yes	characteristic
183	C₃×#382	C₂²	1	1	yes	characteristic
184	C₃×#382	C₂²	1	1	yes	characteristic
185	C₃×#382	C₂²	1	1	yes	characteristic
186	C₃×#380	C₂²	1	1	yes	characteristic
187	C₃×#380	C₂²	1	1	yes	characteristic
188	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
189	C₃×#376	C₂²	1	1	yes	characteristic
190	C₂×#541	C₂×C₃	1	1	yes	characteristic, complemented
191	C₂×#533	C₂×C₃	1	1	yes	characteristic, complemented
192	#2852	C₂×C₃	1	1	yes	characteristic
193	#2851	C₂×C₃	1	1	yes	characteristic, complemented
194	#2734	C₂×C₃	1	1	yes	characteristic, complemented
195	#2729	C₂×C₃	1	1	yes	characteristic, complemented
196	#2729	C₂×C₃	1	1	yes	characteristic, complemented
197	#2728	C₂×C₃	1	1	yes	characteristic
198	#2726	C₂×C₃	1	1	yes	characteristic, complemented
199	#2725	C₂×C₃	1	1	yes	characteristic, complemented
200	#2723	C₂×C₃	1	1	yes	characteristic
201	#2720	C₂×C₃	1	1	yes	characteristic, complemented
202	#2720	C₂×C₃	1	1	yes	characteristic, complemented
203	#2719	C₂×C₃	1	1	yes	characteristic, complemented
204	#2716	C₂×C₃	1	1	yes	characteristic, complemented
205	#2713	C₂×C₃	1	1	yes	characteristic, complemented
206	#2704	C₂×C₃	1	1	yes	characteristic, complemented
207	#2702	C₂×C₃	1	1	yes	characteristic
208	#2692	C₂×C₃	1	1	yes	characteristic
209	#2690	C₂×C₃	1	1	yes	characteristic, complemented
210	#2637	C₂×C₃	1	1	yes	characteristic, complemented
211	#2634	C₂×C₃	1	1	yes	characteristic, complemented
212	#2611	C₂×C₃	1	1	yes	characteristic, complemented
213	#2609	C₂×C₃	1	1	yes	characteristic
214	#2604	C₂×C₃	1	1	yes	characteristic, complemented
215	#2601	C₂×C₃	1	1	yes	characteristic
216	#2599	C₂×C₃	1	1	yes	characteristic, complemented
217	#2599	C₂×C₃	1	1	yes	characteristic, complemented
218	#2581	C₂×C₃	1	1	yes	characteristic, complemented
219	#2565	C₂×C₃	1	1	yes	characteristic, complemented
220	#2320	C₂×C₃	1	1	yes	characteristic, complemented
221	C₂²×C₃×Q₈	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×Q₈	C₂³	1	1	yes	characteristic
225	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
226	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
227	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
228	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
229	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
230	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
231	C₃×C₄⋊Q₈	—	2	4	no	—
232	C₃×C₄⋊Q₈	—	2	4	no	—
233	C₃×C₄⋊Q₈	—	2	4	no	—
234	C₃×#126	—	2	4	no	—
235	C₃×#126	—	2	4	no	—
236	C₃×#126	—	2	4	no	—
237	C₃×#126	—	2	4	no	—
238	C₃×#125	—	2	4	no	—
239	C₃×#125	—	2	4	no	—
240	C₃×#125	—	2	4	no	—
241	C₃×#125	—	2	4	no	—
242	C₃×#125	—	2	4	no	—
243	C₃×#125	—	2	4	no	—
244	C₃×#125	—	2	4	no	—
245	C₃×C₂²⋊Q₈	—	2	4	no	—
246	C₃×C₂²⋊Q₈	—	2	4	no	—
247	C₃×C₂²⋊Q₈	—	2	4	no	—
248	C₃×C₂²⋊Q₈	—	2	4	no	—
249	C₃×C₂²⋊Q₈	—	2	4	no	—
250	C₃×C₂²⋊Q₈	—	2	4	no	—
251	C₃×C₄×Q₈	—	2	4	no	—
252	C₃×C₄×Q₈	—	2	4	no	—
253	C₃×C₄×Q₈	—	2	4	no	—
254	C₃×C₄×Q₈	—	2	4	no	—
255	C₃×C₄×Q₈	D₄	1	8	yes	complemented
256	C₃×#117	—	2	4	no	—
257	C₃×#117	—	2	4	no	—
258	C₃×#117	—	2	4	no	—
259	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₃×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×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₃×C₄⋊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×C₄²	—	2	4	no	—
338	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
339	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
340	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
341	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
342	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
343	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
344	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
345	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
346	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
347	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
348	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
349	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
350	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
351	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
352	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
353	C₃×#95	C₂³	1	1	yes	characteristic
354	C₃×#95	C₂³	1	1	yes	characteristic
355	C₃×#95	C₂³	1	1	yes	characteristic
356	C₃×#95	C₂³	1	1	yes	characteristic
357	C₃×#95	C₂³	1	1	yes	characteristic
358	C₃×#95	C₂³	1	1	yes	characteristic
359	C₃×#95	C₂³	1	1	yes	characteristic
360	C₃×#95	C₂³	1	1	yes	characteristic
361	C₃×#95	C₂³	1	1	yes	characteristic
362	C₃×#95	C₂³	1	1	yes	characteristic
363	C₃×#95	C₂³	1	1	yes	characteristic
364	C₃×#95	C₂³	1	1	yes	characteristic
365	C₃×#95	C₂³	1	1	yes	characteristic
366	C₃×#95	C₂³	1	1	yes	characteristic
367	C₃×#95	C₂³	1	1	yes	characteristic
368	C₃×#95	C₂³	1	1	yes	characteristic
369	C₃×#95	C₂³	1	1	yes	characteristic
370	C₃×#95	C₂³	1	1	yes	characteristic
371	C₃×#95	C₂³	1	1	yes	characteristic
372	C₃×#95	C₂³	1	1	yes	characteristic
373	C₃×#95	C₂³	1	1	yes	characteristic
374	C₃×#95	C₂³	1	1	yes	characteristic
375	C₃×#95	C₂³	1	1	yes	characteristic
376	C₃×#95	C₂³	1	1	yes	characteristic
377	C₃×#95	C₂³	1	1	yes	characteristic
378	C₃×#95	C₂³	1	1	yes	characteristic
379	C₃×#95	C₂³	1	1	yes	characteristic
380	C₃×#95	C₂³	1	1	yes	characteristic
381	C₃×#95	C₂³	1	1	yes	characteristic
382	C₃×#95	C₂³	1	1	yes	characteristic
383	C₃×#95	C₂³	1	1	yes	characteristic
384	C₃×#95	C₂³	1	1	yes	characteristic
385	C₃×#95	C₂³	1	1	yes	characteristic
386	C₃×#95	C₂³	1	1	yes	characteristic
387	C₃×#95	C₂³	1	1	yes	characteristic
388	C₃×#95	C₂³	1	1	yes	characteristic
389	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	#541	—	2	8	no	—
406	#533	—	2	8	no	—
407	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
408	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
409	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
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
414	C₂×#125	C₂²×C₃	1	1	yes	characteristic
415	C₂×#125	C₂²×C₃	1	1	yes	characteristic
416	C₂×#125	C₂²×C₃	1	1	yes	characteristic
417	C₂×#125	C₂²×C₃	1	1	yes	characteristic
418	C₂×#125	C₂²×C₃	1	1	yes	characteristic
419	C₂×#125	C₂²×C₃	1	1	yes	characteristic
420	C₂×#125	C₂²×C₃	1	1	yes	characteristic
421	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
422	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
423	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
424	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
425	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
426	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
427	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
428	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
429	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
430	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
431	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
432	C₂×#117	C₂²×C₃	1	1	yes	characteristic
433	C₂×#117	C₂²×C₃	1	1	yes	characteristic
434	C₂×#117	C₂²×C₃	1	1	yes	characteristic
435	C₂²×C₄²	C₂²×C₃	1	1	yes	characteristic
436	#400	C₂²×C₃	1	1	yes	characteristic
437	#400	C₂²×C₃	1	1	yes	characteristic
438	#400	C₂²×C₃	1	1	yes	characteristic
439	#400	C₂²×C₃	1	1	yes	characteristic
440	#400	C₂²×C₃	1	1	yes	characteristic
441	#400	C₂²×C₃	1	1	yes	characteristic
442	#400	C₂²×C₃	1	1	yes	characteristic
443	#400	C₂²×C₃	1	1	yes	characteristic
444	#399	C₂²×C₃	1	1	yes	characteristic
445	#399	C₂²×C₃	1	1	yes	characteristic
446	#398	C₂²×C₃	1	1	yes	characteristic
447	#398	C₂²×C₃	1	1	yes	characteristic
448	#398	C₂²×C₃	1	1	yes	characteristic
449	#398	C₂²×C₃	1	1	yes	characteristic
450	#398	C₂²×C₃	1	1	yes	characteristic
451	#398	C₂²×C₃	1	1	yes	characteristic
452	#398	C₂²×C₃	1	1	yes	characteristic
453	#398	C₂²×C₃	1	1	yes	characteristic
454	#398	C₂²×C₃	1	1	yes	characteristic
455	#398	C₂²×C₃	1	1	yes	characteristic
456	#398	C₂²×C₃	1	1	yes	characteristic
457	#398	C₂²×C₃	1	1	yes	characteristic
458	#398	C₂²×C₃	1	1	yes	characteristic
459	#398	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
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	#395	C₂²×C₃	1	1	yes	characteristic
471	#395	C₂²×C₃	1	1	yes	characteristic
472	#395	C₂²×C₃	1	1	yes	characteristic
473	#395	C₂²×C₃	1	1	yes	characteristic
474	#395	C₂²×C₃	1	1	yes	characteristic
475	#395	C₂²×C₃	1	1	yes	characteristic
476	#395	C₂²×C₃	1	1	yes	characteristic
477	#395	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	#393	C₂²×C₃	1	1	yes	characteristic
483	#393	C₂²×C₃	1	1	yes	characteristic
484	#391	C₂²×C₃	1	1	yes	characteristic
485	#391	C₂²×C₃	1	1	yes	characteristic
486	#391	C₂²×C₃	1	1	yes	characteristic
487	#391	C₂²×C₃	1	1	yes	characteristic
488	#391	C₂²×C₃	1	1	yes	characteristic
489	#391	C₂²×C₃	1	1	yes	characteristic
490	#390	C₂²×C₃	1	1	yes	characteristic
491	#389	C₂²×C₃	1	1	yes	characteristic
492	#389	C₂²×C₃	1	1	yes	characteristic
493	#389	C₂²×C₃	1	1	yes	characteristic
494	#389	C₂²×C₃	1	1	yes	characteristic
495	#389	C₂²×C₃	1	1	yes	characteristic
496	#389	C₂²×C₃	1	1	yes	characteristic
497	#389	C₂²×C₃	1	1	yes	characteristic
498	#389	C₂²×C₃	1	1	yes	characteristic
499	#389	C₂²×C₃	1	1	yes	characteristic
500	#389	C₂²×C₃	1	1	yes	characteristic
501	#389	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
507	#388	C₂²×C₃	1	1	yes	characteristic
508	#388	C₂²×C₃	1	1	yes	characteristic
509	#388	C₂²×C₃	1	1	yes	characteristic
510	#388	C₂²×C₃	1	1	yes	characteristic
511	#388	C₂²×C₃	1	1	yes	characteristic
512	#388	C₂²×C₃	1	1	yes	characteristic
513	#388	C₂²×C₃	1	1	yes	characteristic
514	#388	C₂²×C₃	1	1	yes	characteristic
515	#388	C₂²×C₃	1	1	yes	characteristic
516	#387	C₂²×C₃	1	1	yes	characteristic
517	#387	C₂²×C₃	1	1	yes	characteristic
518	#387	C₂²×C₃	1	1	yes	characteristic
519	#387	C₂²×C₃	1	1	yes	characteristic
520	#387	C₂²×C₃	1	1	yes	characteristic
521	#387	C₂²×C₃	1	1	yes	characteristic
522	#387	C₂²×C₃	1	1	yes	characteristic
523	#387	C₂²×C₃	1	1	yes	characteristic
524	#387	C₂²×C₃	1	1	yes	characteristic
525	#387	C₂²×C₃	1	1	yes	characteristic
526	#387	C₂²×C₃	1	1	yes	characteristic
527	#387	C₂²×C₃	1	1	yes	characteristic
528	#387	C₂²×C₃	1	1	yes	characteristic
529	#387	C₂²×C₃	1	1	yes	characteristic
530	#387	C₂²×C₃	1	1	yes	characteristic
531	#387	C₂²×C₃	1	1	yes	characteristic
532	#387	C₂²×C₃	1	1	yes	characteristic
533	#387	C₂²×C₃	1	1	yes	characteristic
534	#387	C₂²×C₃	1	1	yes	characteristic
535	#387	C₂²×C₃	1	1	yes	characteristic
536	#387	C₂²×C₃	1	1	yes	characteristic
537	#387	C₂²×C₃	1	1	yes	characteristic
538	#386	C₂²×C₃	1	1	yes	characteristic
539	#386	C₂²×C₃	1	1	yes	characteristic
540	#386	C₂²×C₃	1	1	yes	characteristic
541	#386	C₂²×C₃	1	1	yes	characteristic
542	#385	C₂²×C₃	1	1	yes	characteristic
543	#385	C₂²×C₃	1	1	yes	characteristic
544	#385	C₂²×C₃	1	1	yes	characteristic
545	#385	C₂²×C₃	1	1	yes	characteristic
546	#385	C₂²×C₃	1	1	yes	characteristic
547	#385	C₂²×C₃	1	1	yes	characteristic
548	#385	C₂²×C₃	1	1	yes	characteristic
549	#385	C₂²×C₃	1	1	yes	characteristic
550	#385	C₂²×C₃	1	1	yes	characteristic
551	#385	C₂²×C₃	1	1	yes	characteristic
552	#384	C₂²×C₃	1	1	yes	characteristic
553	#383	C₂²×C₃	1	1	yes	characteristic
554	#383	C₂²×C₃	1	1	yes	characteristic
555	#382	C₂²×C₃	1	1	yes	characteristic
556	#382	C₂²×C₃	1	1	yes	characteristic
557	#382	C₂²×C₃	1	1	yes	characteristic
558	#380	C₂²×C₃	1	1	yes	characteristic
559	#380	C₂²×C₃	1	1	yes	characteristic
560	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
561	#376	C₂²×C₃	1	1	yes	characteristic
562	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
563	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
564	C₂×C₃×Q₈	—	2	2	no	—
565	C₂×C₃×Q₈	—	2	2	no	—
566	C₂×C₃×Q₈	—	2	2	no	—
567	C₂×C₃×Q₈	—	2	2	no	—
568	C₂×C₃×Q₈	—	2	2	no	—
569	C₂×C₃×Q₈	—	2	2	no	—
570	C₂×C₃×Q₈	—	4	1	no	—
571	C₂×C₃×Q₈	—	4	1	no	—
572	C₂×C₃×Q₈	—	4	1	no	—
573	C₂×C₃×Q₈	—	4	1	no	—
574	C₂×C₃×Q₈	—	4	1	no	—
575	C₂×C₃×Q₈	—	4	1	no	—
576	C₂×C₃×Q₈	—	4	1	no	—
577	C₂×C₃×Q₈	—	4	1	no	—
578	C₂×C₃×Q₈	C₂×D₄	1	4	yes	—
579	C₂×C₃×D₄	—	2	2	no	—
580	C₂×C₃×D₄	—	4	1	no	—
581	C₂×C₃×D₄	—	4	1	no	—
582	C₂²×C₃×C₄	—	2	2	no	—
583	C₂²×C₃×C₄	—	2	2	no	—
584	C₂²×C₃×C₄	—	2	2	no	—
585	C₂²×C₃×C₄	—	2	2	no	—
586	C₂²×C₃×C₄	—	2	2	no	—
587	C₂²×C₃×C₄	—	2	2	no	—
588	C₂²×C₃×C₄	—	2	2	no	—
589	C₂²×C₃×C₄	—	4	1	no	—
590	C₂²×C₃×C₄	—	4	1	no	—
591	C₂²×C₃×C₄	—	4	1	no	—
592	C₂²×C₃×C₄	—	4	1	no	—
593	C₂²×C₃×C₄	—	4	1	no	—
594	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
595	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
596	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
597	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
598	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
599	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
600	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
601	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
602	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
603	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
604	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
605	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
606	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
607	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
608	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
609	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
610	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
611	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
612	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
613	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
614	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
615	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
616	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
617	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
618	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
619	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
620	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
621	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
622	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
623	C₃×C₄⋊C₄	—	2	2	no	—
624	C₃×C₄⋊C₄	—	2	2	no	—
625	C₃×C₄⋊C₄	—	2	2	no	—
626	C₃×C₄⋊C₄	—	2	2	no	—
627	C₃×C₄⋊C₄	—	2	2	no	—
628	C₃×C₄⋊C₄	—	2	2	no	—
629	C₃×C₄⋊C₄	—	2	2	no	—
630	C₃×C₄⋊C₄	—	2	2	no	—
631	C₃×C₄⋊C₄	—	2	2	no	—
632	C₃×C₄⋊C₄	—	2	2	no	—
633	C₃×C₄⋊C₄	—	2	2	no	—
634	C₃×C₄⋊C₄	—	2	2	no	—
635	C₃×C₄⋊C₄	—	2	2	no	—
636	C₃×C₄⋊C₄	—	2	2	no	—
637	C₃×C₄⋊C₄	—	2	2	no	—
638	C₃×C₄⋊C₄	—	2	2	no	—
639	C₃×C₄⋊C₄	—	2	2	no	—
640	C₃×C₄⋊C₄	—	2	2	no	—
641	C₃×C₄⋊C₄	—	2	2	no	—
642	C₃×C₄⋊C₄	—	2	2	no	—
643	C₃×C₄⋊C₄	—	2	2	no	—
644	C₃×C₄⋊C₄	—	2	2	no	—
645	C₃×C₄⋊C₄	—	2	2	no	—
646	C₃×C₄⋊C₄	—	2	2	no	—
647	C₃×C₄⋊C₄	—	2	2	no	—
648	C₃×C₄⋊C₄	—	2	2	no	—
649	C₃×C₄⋊C₄	—	2	2	no	—
650	C₃×C₄⋊C₄	—	2	2	no	—
651	C₃×C₄⋊C₄	—	2	2	no	—
652	C₃×C₄⋊C₄	—	2	2	no	—
653	C₃×C₄⋊C₄	—	2	2	no	—
654	C₃×C₄⋊C₄	—	2	2	no	—
655	C₃×C₄⋊C₄	—	2	2	no	—
656	C₃×C₄⋊C₄	—	2	2	no	—
657	C₃×C₄⋊C₄	—	4	1	no	—
658	C₃×C₄⋊C₄	—	4	1	no	—
659	C₃×C₄⋊C₄	—	4	1	no	—
660	C₃×C₄⋊C₄	—	4	1	no	—
661	C₃×C₄⋊C₄	—	4	1	no	—
662	C₃×C₄⋊C₄	—	4	1	no	—
663	C₃×C₄⋊C₄	—	4	1	no	—
664	C₃×C₄⋊C₄	—	4	1	no	—
665	C₃×C₄⋊C₄	—	4	1	no	—
666	C₃×C₄⋊C₄	—	4	1	no	—
667	C₃×C₄⋊C₄	—	4	1	no	—
668	C₃×C₄⋊C₄	—	4	1	no	—
669	C₃×C₄⋊C₄	—	4	1	no	—
670	C₃×C₄⋊C₄	—	4	1	no	—
671	C₃×C₄⋊C₄	—	4	1	no	—
672	C₃×C₄⋊C₄	—	4	1	no	—
673	C₃×C₄⋊C₄	—	4	1	no	—
674	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
675	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
676	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
677	C₃×C₂²⋊C₄	—	2	2	no	—
678	C₃×C₂²⋊C₄	—	2	2	no	—
679	C₃×C₂²⋊C₄	—	2	2	no	—
680	C₃×C₂²⋊C₄	—	2	2	no	—
681	C₃×C₂²⋊C₄	—	2	2	no	—
682	C₃×C₂²⋊C₄	—	2	2	no	—
683	C₃×C₂²⋊C₄	—	2	2	no	—
684	C₃×C₂²⋊C₄	—	2	2	no	—
685	C₃×C₂²⋊C₄	—	2	2	no	—
686	C₃×C₂²⋊C₄	—	2	2	no	—
687	C₃×C₂²⋊C₄	—	2	2	no	—
688	C₃×C₂²⋊C₄	—	2	2	no	—
689	C₃×C₂²⋊C₄	—	2	2	no	—
690	C₃×C₂²⋊C₄	—	2	2	no	—
691	C₃×C₂²⋊C₄	—	2	2	no	—
692	C₃×C₂²⋊C₄	—	4	1	no	—
693	C₃×C₂²⋊C₄	—	4	1	no	—
694	C₃×C₂²⋊C₄	—	4	1	no	—
695	C₃×C₂²⋊C₄	—	4	1	no	—
696	C₃×C₂²⋊C₄	—	4	1	no	—
697	C₃×C₂²⋊C₄	—	4	1	no	—
698	C₃×C₂²⋊C₄	—	4	1	no	—
699	C₃×C₂²⋊C₄	—	4	1	no	—
700	C₃×C₂²⋊C₄	—	4	1	no	—
701	C₃×C₄²	—	2	2	no	—
702	C₃×C₄²	—	2	2	no	—
703	C₃×C₄²	—	2	2	no	—
704	C₃×C₄²	—	2	2	no	—
705	C₃×C₄²	—	2	2	no	—
706	C₃×C₄²	—	2	2	no	—
707	C₃×C₄²	—	2	2	no	—
708	C₃×C₄²	—	2	2	no	—
709	C₃×C₄²	—	4	1	no	—
710	C₃×C₄²	—	4	1	no	—
711	C₃×C₄²	—	4	1	no	—
712	C₃×C₄²	—	4	1	no	—
713	C₃×C₄²	C₂×D₄	1	4	yes	—
714	C₃×C₄²	C₂×D₄	1	4	yes	—
715	C₃×C₄²	C₂×D₄	1	4	yes	—
716	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
717	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
718	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
719	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
720	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
721	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
722	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
723	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
724	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
725	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
726	C₄⋊Q₈	—	2	4	no	—
727	C₄⋊Q₈	—	2	4	no	—
728	C₄⋊Q₈	—	2	4	no	—
729	#126	—	2	4	no	—
730	#126	—	2	4	no	—
731	#126	—	2	4	no	—
732	#126	—	2	4	no	—
733	#125	—	2	4	no	—
734	#125	—	2	4	no	—
735	#125	—	2	4	no	—
736	#125	—	2	4	no	—
737	#125	—	2	4	no	—
738	#125	—	2	4	no	—
739	#125	—	2	4	no	—
740	C₂²⋊Q₈	—	2	4	no	—
741	C₂²⋊Q₈	—	2	4	no	—
742	C₂²⋊Q₈	—	2	4	no	—
743	C₂²⋊Q₈	—	2	4	no	—
744	C₂²⋊Q₈	—	2	4	no	—
745	C₂²⋊Q₈	—	2	4	no	—
746	C₄×Q₈	—	2	4	no	—
747	C₄×Q₈	—	2	4	no	—
748	C₄×Q₈	—	2	4	no	—
749	C₄×Q₈	—	2	4	no	—
750	C₄×Q₈	C₃×D₄	1	8	yes	complemented
751	#117	—	2	4	no	—
752	#117	—	2	4	no	—
753	#117	—	2	4	no	—
754	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
755	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
756	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
757	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
758	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
760	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
761	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
762	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
763	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
764	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
765	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
766	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
767	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
768	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
769	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
770	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
771	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
772	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
773	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
774	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
775	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
776	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
777	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
779	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
780	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
781	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
782	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
783	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
784	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
785	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
786	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
787	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
788	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
789	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
790	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
791	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
792	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
793	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
794	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
795	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
796	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
797	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
798	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
799	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
800	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
801	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
802	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
803	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
804	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
805	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
806	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
807	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
808	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
809	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
810	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
811	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
812	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
813	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
814	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
815	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
816	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
817	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
818	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
819	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
820	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
821	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
822	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
823	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
824	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
825	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
826	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
827	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
828	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
829	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
830	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
831	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
832	C₂×C₄²	—	2	4	no	—
833	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
834	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
835	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
836	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
837	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
838	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
839	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
840	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
841	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
842	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
843	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
844	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
845	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
846	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
847	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
848	#95	C₂³×C₃	1	1	yes	characteristic
849	#95	C₂³×C₃	1	1	yes	characteristic
850	#95	C₂³×C₃	1	1	yes	characteristic
851	#95	C₂³×C₃	1	1	yes	characteristic
852	#95	C₂³×C₃	1	1	yes	characteristic
853	#95	C₂³×C₃	1	1	yes	characteristic
854	#95	C₂³×C₃	1	1	yes	characteristic
855	#95	C₂³×C₃	1	1	yes	characteristic
856	#95	C₂³×C₃	1	1	yes	characteristic
857	#95	C₂³×C₃	1	1	yes	characteristic
858	#95	C₂³×C₃	1	1	yes	characteristic
859	#95	C₂³×C₃	1	1	yes	characteristic
860	#95	C₂³×C₃	1	1	yes	characteristic
861	#95	C₂³×C₃	1	1	yes	characteristic
862	#95	C₂³×C₃	1	1	yes	characteristic
863	#95	C₂³×C₃	1	1	yes	characteristic
864	#95	C₂³×C₃	1	1	yes	characteristic
865	#95	C₂³×C₃	1	1	yes	characteristic
866	#95	C₂³×C₃	1	1	yes	characteristic
867	#95	C₂³×C₃	1	1	yes	characteristic
868	#95	C₂³×C₃	1	1	yes	characteristic
869	#95	C₂³×C₃	1	1	yes	characteristic
870	#95	C₂³×C₃	1	1	yes	characteristic
871	#95	C₂³×C₃	1	1	yes	characteristic
872	#95	C₂³×C₃	1	1	yes	characteristic
873	#95	C₂³×C₃	1	1	yes	characteristic
874	#95	C₂³×C₃	1	1	yes	characteristic
875	#95	C₂³×C₃	1	1	yes	characteristic
876	#95	C₂³×C₃	1	1	yes	characteristic
877	#95	C₂³×C₃	1	1	yes	characteristic
878	#95	C₂³×C₃	1	1	yes	characteristic
879	#95	C₂³×C₃	1	1	yes	characteristic
880	#95	C₂³×C₃	1	1	yes	characteristic
881	#95	C₂³×C₃	1	1	yes	characteristic
882	#95	C₂³×C₃	1	1	yes	characteristic
883	#95	C₂³×C₃	1	1	yes	characteristic
884	#95	C₂³×C₃	1	1	yes	characteristic
885	#95	C₂³×C₃	1	1	yes	characteristic
886	#95	C₂³×C₃	1	1	yes	characteristic
887	#95	C₂³×C₃	1	1	yes	characteristic
888	#95	C₂³×C₃	1	1	yes	characteristic
889	#95	C₂³×C₃	1	1	yes	characteristic
890	#95	C₂³×C₃	1	1	yes	characteristic
891	#95	C₂³×C₃	1	1	yes	characteristic
892	#95	C₂³×C₃	1	1	yes	characteristic
893	#95	C₂³×C₃	1	1	yes	characteristic
894	#95	C₂³×C₃	1	1	yes	characteristic
895	#95	C₂³×C₃	1	1	yes	characteristic
896	#95	C₂³×C₃	1	1	yes	characteristic
897	#95	C₂³×C₃	1	1	yes	characteristic
898	#95	C₂³×C₃	1	1	yes	characteristic
899	#95	C₂³×C₃	1	1	yes	characteristic
900	C₂³×C₃	—	2	1	no	—
901	C₂³×C₃	—	2	1	no	—
902	C₂³×C₃	—	2	1	no	—
903	C₂³×C₃	—	2	1	no	—
904	C₂³×C₃	—	2	1	no	—
905	C₂³×C₃	—	2	1	no	—
906	C₂³×C₃	—	2	1	no	—
907	C₂³×C₃	—	2	1	no	—
908	C₂³×C₃	—	2	1	no	—
909	C₂³×C₃	—	2	1	no	—
910	C₂³×C₃	—	2	1	no	—
911	C₂³×C₃	—	2	1	no	—
912	C₂³×C₃	—	2	1	no	—
913	C₂³×C₃	2₋¹⁺⁴	1	2	yes	—
914	C₂³×C₃	C₂⁵	1	1	yes	characteristic
915	C₃×Q₈	—	4	4	no	—
916	C₃×Q₈	—	4	4	no	—
917	C₃×Q₈	—	4	4	no	—
918	C₃×Q₈	—	4	4	no	—
919	C₃×Q₈	—	4	4	no	—
920	C₃×D₄	—	8	2	no	—
921	C₂×C₃×C₄	—	2	8	no	—
922	C₂×C₃×C₄	—	2	1	no	—
923	C₂×C₃×C₄	—	2	1	no	—
924	C₂×C₃×C₄	—	2	1	no	—
925	C₂×C₃×C₄	—	2	1	no	—
926	C₂×C₃×C₄	—	2	1	no	—
927	C₂×C₃×C₄	—	2	1	no	—
928	C₂×C₃×C₄	—	2	1	no	—
929	C₂×C₃×C₄	—	2	1	no	—
930	C₂×C₃×C₄	—	2	1	no	—
931	C₂×C₃×C₄	—	2	1	no	—
932	C₂×C₃×C₄	—	2	1	no	—
933	C₂×C₃×C₄	—	2	1	no	—
934	C₂×C₃×C₄	—	2	1	no	—
935	C₂×C₃×C₄	—	2	1	no	—
936	C₂×C₃×C₄	—	2	1	no	—
937	C₂×C₃×C₄	—	2	1	no	—
938	C₂×C₃×C₄	—	2	1	no	—
939	C₂×C₃×C₄	—	2	1	no	—
940	C₂×C₃×C₄	—	2	1	no	—
941	C₂×C₃×C₄	—	2	1	no	—
942	C₂×C₃×C₄	—	2	1	no	—
943	C₂×C₃×C₄	—	2	1	no	—
944	C₂×C₃×C₄	—	2	1	no	—
945	C₂×C₃×C₄	—	2	1	no	—
946	C₂×C₃×C₄	—	2	1	no	—
947	C₂×C₃×C₄	—	2	1	no	—
948	C₂×C₃×C₄	—	2	1	no	—
949	C₂×C₃×C₄	—	2	1	no	—
950	C₂×C₃×C₄	—	2	1	no	—
951	C₂×C₃×C₄	—	2	1	no	—
952	C₂×C₃×C₄	—	2	1	no	—
953	C₂×C₃×C₄	—	2	1	no	—
954	C₂×C₃×C₄	—	2	1	no	—
955	C₂×C₃×C₄	—	2	1	no	—
956	C₂×C₃×C₄	—	2	1	no	—
957	C₂×C₃×C₄	—	2	1	no	—
958	C₂×C₃×C₄	—	2	1	no	—
959	C₂×C₃×C₄	—	2	1	no	—
960	C₂×C₃×C₄	—	2	1	no	—
961	C₂×C₃×C₄	—	2	1	no	—
962	C₂×C₃×C₄	—	2	1	no	—
963	C₂×C₃×C₄	—	2	1	no	—
964	C₂×C₃×C₄	—	2	1	no	—
965	C₂×C₃×C₄	—	2	1	no	—
966	C₂×C₃×C₄	—	2	1	no	—
967	C₂×C₃×C₄	—	2	1	no	—
968	C₂×C₃×C₄	—	2	1	no	—
969	C₂×C₃×C₄	—	2	1	no	—
970	C₂×C₃×C₄	—	2	1	no	—
971	C₂×C₃×C₄	—	2	1	no	—
972	C₂×C₃×C₄	—	2	1	no	—
973	C₂×C₃×C₄	—	2	1	no	—
974	C₂×C₃×C₄	—	2	1	no	—
975	C₂×C₃×C₄	—	2	1	no	—
976	C₂×C₃×C₄	—	2	1	no	—
977	C₂×C₃×C₄	—	2	1	no	—
978	C₂×C₃×C₄	—	2	1	no	—
979	C₂×C₃×C₄	—	2	1	no	—
980	C₂×C₃×C₄	—	2	1	no	—
981	C₂×C₃×C₄	—	2	1	no	—
982	C₂×C₃×C₄	—	2	1	no	—
983	C₂×C₃×C₄	—	2	1	no	—
984	C₂×C₃×C₄	—	2	1	no	—
985	C₂×C₃×C₄	—	2	1	no	—
986	C₂×C₃×C₄	—	2	1	no	—
987	C₂×C₃×C₄	—	2	1	no	—
988	C₂×C₃×C₄	—	2	1	no	—
989	C₂×C₃×C₄	—	2	1	no	—
990	C₂×C₃×C₄	—	2	1	no	—
991	C₂×C₃×C₄	—	2	1	no	—
992	C₂×C₃×C₄	—	2	1	no	—
993	C₂×C₃×C₄	—	2	1	no	—
994	C₂×C₃×C₄	—	2	1	no	—
995	C₂×C₃×C₄	—	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	—	4	4	no	—
1001	C₂×C₃×C₄	—	4	4	no	—
1002	C₂×C₃×C₄	—	4	4	no	—
1003	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1004	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1005	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1006	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1007	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1008	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1009	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1010	C₂×C₃×C₄	2₋¹⁺⁴	1	2	yes	—
1011	C₂×C₃×C₄	2₋¹⁺⁴	1	2	yes	—
1012	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1013	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1014	C₂×Q₈	—	2	2	no	—
1015	C₂×Q₈	—	2	2	no	—
1016	C₂×Q₈	—	2	2	no	—
1017	C₂×Q₈	—	2	2	no	—
1018	C₂×Q₈	—	2	2	no	—
1019	C₂×Q₈	—	2	2	no	—
1020	C₂×Q₈	—	4	1	no	—
1021	C₂×Q₈	—	4	1	no	—
1022	C₂×Q₈	—	4	1	no	—
1023	C₂×Q₈	—	4	1	no	—
1024	C₂×Q₈	—	4	1	no	—
1025	C₂×Q₈	—	4	1	no	—
1026	C₂×Q₈	—	4	1	no	—
1027	C₂×Q₈	—	4	1	no	—
1028	C₂×Q₈	C₂×C₃×D₄	1	4	yes	—
1029	C₂×D₄	—	2	2	no	—
1030	C₂×D₄	—	4	1	no	—
1031	C₂×D₄	—	4	1	no	—
1032	C₂²×C₄	—	2	2	no	—
1033	C₂²×C₄	—	2	2	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	2	2	no	—
1038	C₂²×C₄	—	2	2	no	—
1039	C₂²×C₄	—	4	1	no	—
1040	C₂²×C₄	—	4	1	no	—
1041	C₂²×C₄	—	4	1	no	—
1042	C₂²×C₄	—	4	1	no	—
1043	C₂²×C₄	—	4	1	no	—
1044	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1045	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1046	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1047	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1048	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1049	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1050	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1051	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1052	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1053	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1054	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1055	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1056	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1063	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1064	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1065	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1066	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1067	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1068	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1069	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1070	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1071	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1072	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1073	C₄⋊C₄	—	2	2	no	—
1074	C₄⋊C₄	—	2	2	no	—
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	2	2	no	—
1077	C₄⋊C₄	—	2	2	no	—
1078	C₄⋊C₄	—	2	2	no	—
1079	C₄⋊C₄	—	2	2	no	—
1080	C₄⋊C₄	—	2	2	no	—
1081	C₄⋊C₄	—	2	2	no	—
1082	C₄⋊C₄	—	2	2	no	—
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	2	2	no	—
1086	C₄⋊C₄	—	2	2	no	—
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	2	2	no	—
1089	C₄⋊C₄	—	2	2	no	—
1090	C₄⋊C₄	—	2	2	no	—
1091	C₄⋊C₄	—	2	2	no	—
1092	C₄⋊C₄	—	2	2	no	—
1093	C₄⋊C₄	—	2	2	no	—
1094	C₄⋊C₄	—	2	2	no	—
1095	C₄⋊C₄	—	2	2	no	—
1096	C₄⋊C₄	—	2	2	no	—
1097	C₄⋊C₄	—	2	2	no	—
1098	C₄⋊C₄	—	2	2	no	—
1099	C₄⋊C₄	—	2	2	no	—
1100	C₄⋊C₄	—	2	2	no	—
1101	C₄⋊C₄	—	2	2	no	—
1102	C₄⋊C₄	—	2	2	no	—
1103	C₄⋊C₄	—	2	2	no	—
1104	C₄⋊C₄	—	2	2	no	—
1105	C₄⋊C₄	—	2	2	no	—
1106	C₄⋊C₄	—	2	2	no	—
1107	C₄⋊C₄	—	4	1	no	—
1108	C₄⋊C₄	—	4	1	no	—
1109	C₄⋊C₄	—	4	1	no	—
1110	C₄⋊C₄	—	4	1	no	—
1111	C₄⋊C₄	—	4	1	no	—
1112	C₄⋊C₄	—	4	1	no	—
1113	C₄⋊C₄	—	4	1	no	—
1114	C₄⋊C₄	—	4	1	no	—
1115	C₄⋊C₄	—	4	1	no	—
1116	C₄⋊C₄	—	4	1	no	—
1117	C₄⋊C₄	—	4	1	no	—
1118	C₄⋊C₄	—	4	1	no	—
1119	C₄⋊C₄	—	4	1	no	—
1120	C₄⋊C₄	—	4	1	no	—
1121	C₄⋊C₄	—	4	1	no	—
1122	C₄⋊C₄	—	4	1	no	—
1123	C₄⋊C₄	—	4	1	no	—
1124	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
1125	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
1126	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
1127	C₂²⋊C₄	—	2	2	no	—
1128	C₂²⋊C₄	—	2	2	no	—
1129	C₂²⋊C₄	—	2	2	no	—
1130	C₂²⋊C₄	—	2	2	no	—
1131	C₂²⋊C₄	—	2	2	no	—
1132	C₂²⋊C₄	—	2	2	no	—
1133	C₂²⋊C₄	—	2	2	no	—
1134	C₂²⋊C₄	—	2	2	no	—
1135	C₂²⋊C₄	—	2	2	no	—
1136	C₂²⋊C₄	—	2	2	no	—
1137	C₂²⋊C₄	—	2	2	no	—
1138	C₂²⋊C₄	—	2	2	no	—
1139	C₂²⋊C₄	—	2	2	no	—
1140	C₂²⋊C₄	—	2	2	no	—
1141	C₂²⋊C₄	—	2	2	no	—
1142	C₂²⋊C₄	—	4	1	no	—
1143	C₂²⋊C₄	—	4	1	no	—
1144	C₂²⋊C₄	—	4	1	no	—
1145	C₂²⋊C₄	—	4	1	no	—
1146	C₂²⋊C₄	—	4	1	no	—
1147	C₂²⋊C₄	—	4	1	no	—
1148	C₂²⋊C₄	—	4	1	no	—
1149	C₂²⋊C₄	—	4	1	no	—
1150	C₂²⋊C₄	—	4	1	no	—
1151	C₄²	—	2	2	no	—
1152	C₄²	—	2	2	no	—
1153	C₄²	—	2	2	no	—
1154	C₄²	—	2	2	no	—
1155	C₄²	—	2	2	no	—
1156	C₄²	—	2	2	no	—
1157	C₄²	—	2	2	no	—
1158	C₄²	—	2	2	no	—
1159	C₄²	—	4	1	no	—
1160	C₄²	—	4	1	no	—
1161	C₄²	—	4	1	no	—
1162	C₄²	—	4	1	no	—
1163	C₄²	C₂×C₃×D₄	1	4	yes	—
1164	C₄²	C₂×C₃×D₄	1	4	yes	—
1165	C₄²	C₂×C₃×D₄	1	4	yes	—
1166	C₂²×C₃	—	2	2	no	—
1167	C₂²×C₃	—	2	2	no	—
1168	C₂²×C₃	—	2	2	no	—
1169	C₂²×C₃	—	4	1	no	—
1170	C₂²×C₃	—	4	1	no	—
1171	C₂²×C₃	—	4	1	no	—
1172	C₂²×C₃	—	4	1	no	—
1173	C₂²×C₃	—	4	1	no	—
1174	C₂²×C₃	—	4	1	no	—
1175	C₂²×C₃	—	4	1	no	—
1176	C₂²×C₃	—	4	1	no	—
1177	C₂²×C₃	—	4	1	no	—
1178	C₂²×C₃	—	4	1	no	—
1179	C₂²×C₃	—	4	1	no	—
1180	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1181	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1182	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1183	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1184	C₂²×C₃	#585	1	1	yes	characteristic
1185	C₂²×C₃	#585	1	1	yes	characteristic
1186	C₂²×C₃	#585	1	1	yes	characteristic
1187	C₃×C₄	—	2	2	no	—
1188	C₃×C₄	—	2	2	no	—
1189	C₃×C₄	—	2	2	no	—
1190	C₃×C₄	—	2	2	no	—
1191	C₃×C₄	—	2	2	no	—
1192	C₃×C₄	—	2	2	no	—
1193	C₃×C₄	—	2	2	no	—
1194	C₃×C₄	—	2	2	no	—
1195	C₃×C₄	—	2	2	no	—
1196	C₃×C₄	—	4	1	no	—
1197	C₃×C₄	—	4	1	no	—
1198	C₃×C₄	—	4	1	no	—
1199	C₃×C₄	—	4	1	no	—
1200	C₃×C₄	—	4	1	no	—
1201	C₃×C₄	—	4	1	no	—
1202	C₃×C₄	—	4	1	no	—
1203	C₃×C₄	—	4	1	no	—
1204	C₃×C₄	—	4	1	no	—
1205	C₃×C₄	—	4	1	no	—
1206	C₃×C₄	—	4	1	no	—
1207	C₃×C₄	—	4	1	no	—
1208	C₃×C₄	—	4	1	no	—
1209	C₃×C₄	—	4	1	no	—
1210	C₃×C₄	—	4	1	no	—
1211	C₃×C₄	—	4	1	no	—
1212	C₃×C₄	—	4	1	no	—
1213	C₃×C₄	—	4	1	no	—
1214	C₃×C₄	—	4	1	no	—
1215	C₃×C₄	—	4	1	no	—
1216	C₂³	—	2	1	no	—
1217	C₂³	—	2	1	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	—	2	1	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	2	1	no	—
1227	C₂³	—	2	1	no	—
1228	C₂³	—	2	1	no	—
1229	C₂³	C₃×2₋¹⁺⁴	1	2	yes	—
1230	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1231	Q₈	—	4	4	no	—
1232	Q₈	—	4	4	no	—
1233	Q₈	—	4	4	no	—
1234	Q₈	—	4	4	no	—
1235	Q₈	—	4	4	no	—
1236	D₄	—	8	2	no	—
1237	C₂×C₄	—	2	8	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	4	4	no	—
1317	C₂×C₄	—	4	4	no	—
1318	C₂×C₄	—	4	4	no	—
1319	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1320	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1321	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1322	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1323	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1324	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1325	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1326	C₂×C₄	C₃×2₋¹⁺⁴	1	2	yes	—
1327	C₂×C₄	C₃×2₋¹⁺⁴	1	2	yes	—
1328	C₂×C₃	—	4	2	no	—
1329	C₂×C₃	—	8	1	no	—
1330	C₂×C₃	#3449	1	1	yes	characteristic
1331	C₂×C₃	#3486	1	1	yes	characteristic
1332	C₂×C₃	#3489	1	1	yes	characteristic
1333	C₂×C₃	#3555	1	1	yes	characteristic
1334	C₂×C₃	#3563	1	1	yes	characteristic
1335	C₂×C₃	#3564	1	1	yes	characteristic
1336	C₂×C₃	#3565	1	1	yes	characteristic
1337	C₂²	—	2	2	no	—
1338	C₂²	—	2	2	no	—
1339	C₂²	—	2	2	no	—
1340	C₂²	—	4	1	no	—
1341	C₂²	—	4	1	no	—
1342	C₂²	—	4	1	no	—
1343	C₂²	—	4	1	no	—
1344	C₂²	—	4	1	no	—
1345	C₂²	—	4	1	no	—
1346	C₂²	—	4	1	no	—
1347	C₂²	—	4	1	no	—
1348	C₂²	—	4	1	no	—
1349	C₂²	—	4	1	no	—
1350	C₂²	—	4	1	no	—
1351	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1352	C₂²	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1353	C₂²	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1354	C₂²	C₂×C₃×2₋¹⁺⁴	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	C₄	—	2	2	no	—
1359	C₄	—	2	2	no	—
1360	C₄	—	2	2	no	—
1361	C₄	—	2	2	no	—
1362	C₄	—	2	2	no	—
1363	C₄	—	2	2	no	—
1364	C₄	—	2	2	no	—
1365	C₄	—	2	2	no	—
1366	C₄	—	2	2	no	—
1367	C₄	—	4	1	no	—
1368	C₄	—	4	1	no	—
1369	C₄	—	4	1	no	—
1370	C₄	—	4	1	no	—
1371	C₄	—	4	1	no	—
1372	C₄	—	4	1	no	—
1373	C₄	—	4	1	no	—
1374	C₄	—	4	1	no	—
1375	C₄	—	4	1	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	4	1	no	—
1386	C₄	—	4	1	no	—
1387	C₃	#37259	1	1	yes	characteristic, direct product factor, Sylow
1388	C₂	—	4	2	no	—
1389	C₂	—	8	1	no	—
1390	C₂	C₃×#3449	1	1	yes	characteristic
1391	C₂	C₃×#3486	1	1	yes	characteristic
1392	C₂	C₃×#3489	1	1	yes	characteristic
1393	C₂	C₃×#3555	1	1	yes	characteristic
1394	C₂	C₃×#3563	1	1	yes	characteristic
1395	C₂	C₃×#3564	1	1	yes	characteristic
1396	C₂	C₃×#3565	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₂²×C₃×D₄	C₂³
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×#541	C₂	semidirect
2. C₂×C₃×#533	C₂	semidirect
4. C₃×#2851	C₂	semidirect
5. C₃×#2734	C₂	semidirect
6. C₃×#2729	C₂	semidirect
7. C₃×#2729	C₂	semidirect
9. C₃×#2726	C₂	semidirect
10. C₃×#2725	C₂	semidirect
12. C₃×#2720	C₂	semidirect
13. C₃×#2720	C₂	semidirect
14. C₃×#2719	C₂	semidirect
15. C₃×#2716	C₂	semidirect
16. C₃×#2713	C₂	semidirect
17. C₃×#2704	C₂	semidirect
20. C₃×#2690	C₂	semidirect
21. C₃×#2637	C₂	semidirect
22. C₃×#2634	C₂	semidirect
23. C₃×#2611	C₂	semidirect
25. C₃×#2604	C₂	semidirect
27. C₃×#2599	C₂	semidirect
28. C₃×#2599	C₂	semidirect
29. C₃×#2581	C₂	semidirect
30. C₃×#2565	C₂	semidirect
31. C₃×#2320	C₂	semidirect
32. #37259	C₃	direct (N × H)
190. C₂×#541	C₂×C₃	semidirect
191. C₂×#533	C₂×C₃	semidirect
193. #2851	C₂×C₃	semidirect
194. #2734	C₂×C₃	semidirect
195. #2729	C₂×C₃	semidirect
196. #2729	C₂×C₃	semidirect
198. #2726	C₂×C₃	semidirect
199. #2725	C₂×C₃	semidirect
201. #2720	C₂×C₃	semidirect
202. #2720	C₂×C₃	semidirect
203. #2719	C₂×C₃	semidirect
204. #2716	C₂×C₃	semidirect
205. #2713	C₂×C₃	semidirect
206. #2704	C₂×C₃	semidirect
209. #2690	C₂×C₃	semidirect
210. #2637	C₂×C₃	semidirect
211. #2634	C₂×C₃	semidirect
212. #2611	C₂×C₃	semidirect
214. #2604	C₂×C₃	semidirect
216. #2599	C₂×C₃	semidirect
217. #2599	C₂×C₃	semidirect
218. #2581	C₂×C₃	semidirect
219. #2565	C₂×C₃	semidirect
220. #2320	C₂×C₃	semidirect
255. C₃×C₄×Q₈	D₄	semidirect
750. C₄×Q₈	C₃×D₄	semidirect
1387. C₃	#37259	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×#541	2
C₂×C₃×#533	2
C₃×#2852	2
C₃×#2851	2
C₃×#2734	2
C₃×#2729	2
C₃×#2728	2
C₃×#2726	2
C₃×#2725	2
C₃×#2723	2
C₃×#2720	2
C₃×#2719	2
C₃×#2716	2
C₃×#2713	2
C₃×#2704	2
C₃×#2702	2
C₃×#2692	2
C₃×#2690	2
C₃×#2637	2
C₃×#2634	2
C₃×#2611	2
C₃×#2609	2
C₃×#2604	2
C₃×#2601	2
C₃×#2599	2
C₃×#2581	2
C₃×#2565	2
C₃×#2320	2
#37259	3

Subgroups — C3×#37259 #10655866

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#37259 #10655866