Subgroups — C₃×#37260 #10655867

Order 768.

2066 conjugacy classes of subgroups.

The subgroup lattice has 1526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#542	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, complemented
4	C₃×#2850	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2732	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2731	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2730	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2729	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2713	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2711	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2707	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2704	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2696	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2692	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2683	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2681	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2677	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2677	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2676	C₂	1	1	yes	maximal, characteristic
20	C₃×#2674	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2637	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2632	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2610	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#2609	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#2604	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2601	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#2599	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2598	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#2545	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#2536	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#2320	C₂	1	1	yes	maximal, characteristic, complemented
32	#37260	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₃×#542	—	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×C₄⋊Q₈	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×#125	C₂²	1	1	yes	characteristic
42	C₂×C₃×#125	C₂²	1	1	yes	characteristic
43	C₂×C₃×#124	C₂²	1	1	yes	characteristic
44	C₂×C₃×#124	C₂²	1	1	yes	characteristic
45	C₂×C₃×#124	C₂²	1	1	yes	characteristic
46	C₂×C₃×#124	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×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×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
56	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
57	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
58	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
59	C₂×C₃×#121	C₂²	1	1	yes	characteristic
60	C₂×C₃×#121	C₂²	1	1	yes	characteristic
61	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
62	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
63	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
64	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
65	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
66	C₂×C₃×#117	C₂²	1	1	yes	characteristic
67	C₂×C₃×#117	C₂²	1	1	yes	characteristic
68	C₂×C₃×#117	C₂²	1	1	yes	characteristic
69	C₂²×C₃×C₄²	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×#399	C₂²	1	1	yes	characteristic
75	C₃×#399	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×#397	C₂²	1	1	yes	characteristic
85	C₃×#397	C₂²	1	1	yes	characteristic
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
94	C₃×#396	C₂²	1	1	yes	characteristic
95	C₃×#396	C₂²	1	1	yes	characteristic
96	C₃×#395	C₂²	1	1	yes	characteristic
97	C₃×#395	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×#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
108	C₃×#394	C₂²	1	1	yes	characteristic
109	C₃×#394	C₂²	1	1	yes	characteristic
110	C₃×#393	C₂²	1	1	yes	characteristic
111	C₃×#393	C₂²	1	1	yes	characteristic
112	C₃×#393	C₂²	1	1	yes	characteristic
113	C₃×#393	C₂²	1	1	yes	characteristic
114	C₃×#393	C₂²	1	1	yes	characteristic
115	C₃×#393	C₂²	1	1	yes	characteristic
116	C₃×#392	C₂²	1	1	yes	characteristic
117	C₃×#392	C₂²	1	1	yes	characteristic
118	C₃×#391	C₂²	1	1	yes	characteristic
119	C₃×#391	C₂²	1	1	yes	characteristic
120	C₃×#391	C₂²	1	1	yes	characteristic
121	C₃×#391	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×#389	C₂²	1	1	yes	characteristic
128	C₃×#389	C₂²	1	1	yes	characteristic
129	C₃×#389	C₂²	1	1	yes	characteristic
130	C₃×#389	C₂²	1	1	yes	characteristic
131	C₃×#389	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×#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×#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×#386	C₂²	1	1	yes	characteristic
165	C₃×#386	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×#386	C₂²	1	1	yes	characteristic
171	C₃×#386	C₂²	1	1	yes	characteristic
172	C₃×#386	C₂²	1	1	yes	characteristic
173	C₃×#386	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×#385	C₂²	1	1	yes	characteristic
181	C₃×#385	C₂²	1	1	yes	characteristic
182	C₃×#383	C₂²	1	1	yes	characteristic
183	C₃×#383	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×#542	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, complemented
193	#2850	C₂×C₃	1	1	yes	characteristic, complemented
194	#2732	C₂×C₃	1	1	yes	characteristic, complemented
195	#2731	C₂×C₃	1	1	yes	characteristic, complemented
196	#2730	C₂×C₃	1	1	yes	characteristic, complemented
197	#2729	C₂×C₃	1	1	yes	characteristic, complemented
198	#2713	C₂×C₃	1	1	yes	characteristic, complemented
199	#2711	C₂×C₃	1	1	yes	characteristic, complemented
200	#2707	C₂×C₃	1	1	yes	characteristic, complemented
201	#2704	C₂×C₃	1	1	yes	characteristic, complemented
202	#2696	C₂×C₃	1	1	yes	characteristic, complemented
203	#2692	C₂×C₃	1	1	yes	characteristic, complemented
204	#2683	C₂×C₃	1	1	yes	characteristic, complemented
205	#2681	C₂×C₃	1	1	yes	characteristic, complemented
206	#2677	C₂×C₃	1	1	yes	characteristic, complemented
207	#2677	C₂×C₃	1	1	yes	characteristic, complemented
208	#2676	C₂×C₃	1	1	yes	characteristic
209	#2674	C₂×C₃	1	1	yes	characteristic, complemented
210	#2637	C₂×C₃	1	1	yes	characteristic, complemented
211	#2632	C₂×C₃	1	1	yes	characteristic, complemented
212	#2610	C₂×C₃	1	1	yes	characteristic, complemented
213	#2609	C₂×C₃	1	1	yes	characteristic, complemented
214	#2604	C₂×C₃	1	1	yes	characteristic, complemented
215	#2601	C₂×C₃	1	1	yes	characteristic, complemented
216	#2599	C₂×C₃	1	1	yes	characteristic, complemented
217	#2598	C₂×C₃	1	1	yes	characteristic, complemented
218	#2545	C₂×C₃	1	1	yes	characteristic, complemented
219	#2536	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×Q₈	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	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
234	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
235	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
236	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
237	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
238	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
239	C₃×C₄⋊Q₈	—	2	4	no	—
240	C₃×C₄⋊Q₈	—	2	4	no	—
241	C₃×C₄⋊Q₈	—	2	4	no	—
242	C₃×C₄⋊Q₈	—	4	2	no	—
243	C₃×#126	—	2	4	no	—
244	C₃×#126	—	2	4	no	—
245	C₃×#125	—	2	4	no	—
246	C₃×#125	—	2	4	no	—
247	C₃×#124	—	2	4	no	—
248	C₃×#124	—	2	4	no	—
249	C₃×#124	—	2	4	no	—
250	C₃×#124	—	4	2	no	—
251	C₃×#123	—	2	4	no	—
252	C₃×#123	—	2	4	no	—
253	C₃×C₂²⋊Q₈	—	2	4	no	—
254	C₃×C₂²⋊Q₈	—	2	4	no	—
255	C₃×C₂²⋊Q₈	—	2	4	no	—
256	C₃×C₂²⋊Q₈	—	2	4	no	—
257	C₃×C₂²⋊Q₈	—	2	4	no	—
258	C₃×C₂²⋊Q₈	—	2	4	no	—
259	C₃×C₂²⋊Q₈	—	2	4	no	—
260	C₃×C₂²⋊Q₈	—	4	2	no	—
261	C₃×C₂²⋊Q₈	—	4	2	no	—
262	C₃×C₂²⋊Q₈	—	4	2	no	—
263	C₃×#121	—	2	4	no	—
264	C₃×#121	—	4	2	no	—
265	C₃×C₄×Q₈	—	2	4	no	—
266	C₃×C₄×Q₈	—	2	4	no	—
267	C₃×C₄×Q₈	—	2	4	no	—
268	C₃×C₄×Q₈	D₄	1	8	yes	complemented
269	C₃×C₄×D₄	—	2	4	no	—
270	C₃×#117	—	2	4	no	—
271	C₃×#117	—	2	4	no	—
272	C₃×#117	—	2	4	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₃×C₄⋊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×C₄²	—	2	4	no	—
358	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
359	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
360	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
361	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
362	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
363	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
364	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
365	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
366	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
367	C₂×C₃×C₄²	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	C₃×#95	C₂³	1	1	yes	characteristic
372	C₃×#95	C₂³	1	1	yes	characteristic
373	C₃×#95	C₂³	1	1	yes	characteristic
374	C₃×#95	C₂³	1	1	yes	characteristic
375	C₃×#95	C₂³	1	1	yes	characteristic
376	C₃×#95	C₂³	1	1	yes	characteristic
377	C₃×#95	C₂³	1	1	yes	characteristic
378	C₃×#95	C₂³	1	1	yes	characteristic
379	C₃×#95	C₂³	1	1	yes	characteristic
380	C₃×#95	C₂³	1	1	yes	characteristic
381	C₃×#95	C₂³	1	1	yes	characteristic
382	C₃×#95	C₂³	1	1	yes	characteristic
383	C₃×#95	C₂³	1	1	yes	characteristic
384	C₃×#95	C₂³	1	1	yes	characteristic
385	C₃×#95	C₂³	1	1	yes	characteristic
386	C₃×#95	C₂³	1	1	yes	characteristic
387	C₃×#95	C₂³	1	1	yes	characteristic
388	C₃×#95	C₂³	1	1	yes	characteristic
389	C₃×#95	C₂³	1	1	yes	characteristic
390	C₃×#95	C₂³	1	1	yes	characteristic
391	C₃×#95	C₂³	1	1	yes	characteristic
392	C₃×#95	C₂³	1	1	yes	characteristic
393	C₃×#95	C₂³	1	1	yes	characteristic
394	C₃×#95	C₂³	1	1	yes	characteristic
395	C₃×#95	C₂³	1	1	yes	characteristic
396	C₃×#95	C₂³	1	1	yes	characteristic
397	C₃×#95	C₂³	1	1	yes	characteristic
398	C₃×#95	C₂³	1	1	yes	characteristic
399	C₃×#95	C₂³	1	1	yes	characteristic
400	C₃×#95	C₂³	1	1	yes	characteristic
401	C₃×#95	C₂³	1	1	yes	characteristic
402	C₃×#95	C₂³	1	1	yes	characteristic
403	C₃×#95	C₂³	1	1	yes	characteristic
404	C₃×#95	C₂³	1	1	yes	characteristic
405	C₃×#95	C₂³	1	1	yes	characteristic
406	C₃×#95	C₂³	1	1	yes	characteristic
407	C₃×#95	C₂³	1	1	yes	characteristic
408	C₃×#95	C₂³	1	1	yes	characteristic
409	C₃×#95	C₂³	1	1	yes	characteristic
410	C₃×#95	C₂³	1	1	yes	characteristic
411	#542	—	2	8	no	—
412	#533	—	2	8	no	—
413	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
414	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
415	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
416	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
417	C₂×#126	C₂²×C₃	1	1	yes	characteristic
418	C₂×#126	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×#124	C₂²×C₃	1	1	yes	characteristic
422	C₂×#124	C₂²×C₃	1	1	yes	characteristic
423	C₂×#124	C₂²×C₃	1	1	yes	characteristic
424	C₂×#124	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×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
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
431	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
432	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
433	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
434	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
435	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
436	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
437	C₂×#121	C₂²×C₃	1	1	yes	characteristic
438	C₂×#121	C₂²×C₃	1	1	yes	characteristic
439	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
440	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
441	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
442	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
443	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
444	C₂×#117	C₂²×C₃	1	1	yes	characteristic
445	C₂×#117	C₂²×C₃	1	1	yes	characteristic
446	C₂×#117	C₂²×C₃	1	1	yes	characteristic
447	C₂²×C₄²	C₂²×C₃	1	1	yes	characteristic
448	#400	C₂²×C₃	1	1	yes	characteristic
449	#400	C₂²×C₃	1	1	yes	characteristic
450	#399	C₂²×C₃	1	1	yes	characteristic
451	#399	C₂²×C₃	1	1	yes	characteristic
452	#399	C₂²×C₃	1	1	yes	characteristic
453	#399	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	#398	C₂²×C₃	1	1	yes	characteristic
461	#398	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	#396	C₂²×C₃	1	1	yes	characteristic
471	#396	C₂²×C₃	1	1	yes	characteristic
472	#396	C₂²×C₃	1	1	yes	characteristic
473	#396	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	#395	C₂²×C₃	1	1	yes	characteristic
479	#395	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
486	#394	C₂²×C₃	1	1	yes	characteristic
487	#394	C₂²×C₃	1	1	yes	characteristic
488	#393	C₂²×C₃	1	1	yes	characteristic
489	#393	C₂²×C₃	1	1	yes	characteristic
490	#393	C₂²×C₃	1	1	yes	characteristic
491	#393	C₂²×C₃	1	1	yes	characteristic
492	#393	C₂²×C₃	1	1	yes	characteristic
493	#393	C₂²×C₃	1	1	yes	characteristic
494	#392	C₂²×C₃	1	1	yes	characteristic
495	#392	C₂²×C₃	1	1	yes	characteristic
496	#391	C₂²×C₃	1	1	yes	characteristic
497	#391	C₂²×C₃	1	1	yes	characteristic
498	#391	C₂²×C₃	1	1	yes	characteristic
499	#391	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	#389	C₂²×C₃	1	1	yes	characteristic
506	#389	C₂²×C₃	1	1	yes	characteristic
507	#389	C₂²×C₃	1	1	yes	characteristic
508	#389	C₂²×C₃	1	1	yes	characteristic
509	#389	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	#388	C₂²×C₃	1	1	yes	characteristic
517	#388	C₂²×C₃	1	1	yes	characteristic
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	#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	#387	C₂²×C₃	1	1	yes	characteristic
539	#387	C₂²×C₃	1	1	yes	characteristic
540	#387	C₂²×C₃	1	1	yes	characteristic
541	#387	C₂²×C₃	1	1	yes	characteristic
542	#386	C₂²×C₃	1	1	yes	characteristic
543	#386	C₂²×C₃	1	1	yes	characteristic
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
550	#386	C₂²×C₃	1	1	yes	characteristic
551	#386	C₂²×C₃	1	1	yes	characteristic
552	#385	C₂²×C₃	1	1	yes	characteristic
553	#385	C₂²×C₃	1	1	yes	characteristic
554	#385	C₂²×C₃	1	1	yes	characteristic
555	#385	C₂²×C₃	1	1	yes	characteristic
556	#385	C₂²×C₃	1	1	yes	characteristic
557	#385	C₂²×C₃	1	1	yes	characteristic
558	#385	C₂²×C₃	1	1	yes	characteristic
559	#385	C₂²×C₃	1	1	yes	characteristic
560	#383	C₂²×C₃	1	1	yes	characteristic
561	#383	C₂²×C₃	1	1	yes	characteristic
562	#382	C₂²×C₃	1	1	yes	characteristic
563	#382	C₂²×C₃	1	1	yes	characteristic
564	#380	C₂²×C₃	1	1	yes	characteristic
565	#380	C₂²×C₃	1	1	yes	characteristic
566	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
567	#376	C₂²×C₃	1	1	yes	characteristic
568	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
569	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
570	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
571	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
572	C₂×C₃×Q₈	—	2	2	no	—
573	C₂×C₃×Q₈	—	2	2	no	—
574	C₂×C₃×Q₈	—	2	2	no	—
575	C₂×C₃×Q₈	—	2	2	no	—
576	C₂×C₃×Q₈	—	2	2	no	—
577	C₂×C₃×Q₈	—	2	2	no	—
578	C₂×C₃×Q₈	—	2	2	no	—
579	C₂×C₃×Q₈	—	4	1	no	—
580	C₂×C₃×Q₈	—	4	1	no	—
581	C₂×C₃×Q₈	—	4	1	no	—
582	C₂×C₃×Q₈	—	4	1	no	—
583	C₂×C₃×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×Q₈	—	4	1	no	—
588	C₂×C₃×Q₈	—	4	1	no	—
589	C₂×C₃×Q₈	C₂×D₄	1	4	yes	—
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	C₂²×C₃×C₄	—	2	2	no	—
609	C₂²×C₃×C₄	—	2	2	no	—
610	C₂²×C₃×C₄	—	2	2	no	—
611	C₂²×C₃×C₄	—	2	2	no	—
612	C₂²×C₃×C₄	—	2	2	no	—
613	C₂²×C₃×C₄	—	2	2	no	—
614	C₂²×C₃×C₄	—	2	2	no	—
615	C₂²×C₃×C₄	—	2	2	no	—
616	C₂²×C₃×C₄	—	2	2	no	—
617	C₂²×C₃×C₄	—	4	1	no	—
618	C₂²×C₃×C₄	—	4	1	no	—
619	C₂²×C₃×C₄	—	4	1	no	—
620	C₂²×C₃×C₄	—	4	1	no	—
621	C₂²×C₃×C₄	—	4	1	no	—
622	C₂²×C₃×C₄	—	4	1	no	—
623	C₂²×C₃×C₄	—	4	1	no	—
624	C₂²×C₃×C₄	—	4	1	no	—
625	C₂²×C₃×C₄	—	4	1	no	—
626	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
627	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
628	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
629	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
630	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
631	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
632	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
633	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
634	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
635	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
636	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
637	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
638	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
639	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
640	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
641	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
642	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
643	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
644	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
645	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
646	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
647	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
648	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
649	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
650	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
651	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
652	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
653	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	—	2	2	no	—
658	C₃×C₄⋊C₄	—	2	2	no	—
659	C₃×C₄⋊C₄	—	2	2	no	—
660	C₃×C₄⋊C₄	—	2	2	no	—
661	C₃×C₄⋊C₄	—	2	2	no	—
662	C₃×C₄⋊C₄	—	2	2	no	—
663	C₃×C₄⋊C₄	—	2	2	no	—
664	C₃×C₄⋊C₄	—	2	2	no	—
665	C₃×C₄⋊C₄	—	2	2	no	—
666	C₃×C₄⋊C₄	—	2	2	no	—
667	C₃×C₄⋊C₄	—	2	2	no	—
668	C₃×C₄⋊C₄	—	2	2	no	—
669	C₃×C₄⋊C₄	—	2	2	no	—
670	C₃×C₄⋊C₄	—	2	2	no	—
671	C₃×C₄⋊C₄	—	2	2	no	—
672	C₃×C₄⋊C₄	—	2	2	no	—
673	C₃×C₄⋊C₄	—	2	2	no	—
674	C₃×C₄⋊C₄	—	2	2	no	—
675	C₃×C₄⋊C₄	—	2	2	no	—
676	C₃×C₄⋊C₄	—	2	2	no	—
677	C₃×C₄⋊C₄	—	4	1	no	—
678	C₃×C₄⋊C₄	—	4	1	no	—
679	C₃×C₄⋊C₄	—	4	1	no	—
680	C₃×C₄⋊C₄	—	4	1	no	—
681	C₃×C₄⋊C₄	—	4	1	no	—
682	C₃×C₄⋊C₄	—	4	1	no	—
683	C₃×C₄⋊C₄	—	4	1	no	—
684	C₃×C₄⋊C₄	—	4	1	no	—
685	C₃×C₄⋊C₄	—	4	1	no	—
686	C₃×C₄⋊C₄	—	4	1	no	—
687	C₃×C₄⋊C₄	—	4	1	no	—
688	C₃×C₄⋊C₄	—	4	1	no	—
689	C₃×C₄⋊C₄	—	4	1	no	—
690	C₃×C₄⋊C₄	—	4	1	no	—
691	C₃×C₄⋊C₄	—	4	1	no	—
692	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
693	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
694	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
695	C₃×C₂²⋊C₄	—	2	2	no	—
696	C₃×C₂²⋊C₄	—	2	2	no	—
697	C₃×C₂²⋊C₄	—	2	2	no	—
698	C₃×C₂²⋊C₄	—	2	2	no	—
699	C₃×C₂²⋊C₄	—	2	2	no	—
700	C₃×C₂²⋊C₄	—	2	2	no	—
701	C₃×C₂²⋊C₄	—	2	2	no	—
702	C₃×C₂²⋊C₄	—	2	2	no	—
703	C₃×C₂²⋊C₄	—	2	2	no	—
704	C₃×C₂²⋊C₄	—	2	2	no	—
705	C₃×C₂²⋊C₄	—	2	2	no	—
706	C₃×C₂²⋊C₄	—	2	2	no	—
707	C₃×C₂²⋊C₄	—	2	2	no	—
708	C₃×C₂²⋊C₄	—	2	2	no	—
709	C₃×C₂²⋊C₄	—	2	2	no	—
710	C₃×C₂²⋊C₄	—	2	2	no	—
711	C₃×C₂²⋊C₄	—	2	2	no	—
712	C₃×C₂²⋊C₄	—	2	2	no	—
713	C₃×C₂²⋊C₄	—	2	2	no	—
714	C₃×C₂²⋊C₄	—	2	2	no	—
715	C₃×C₂²⋊C₄	—	2	2	no	—
716	C₃×C₂²⋊C₄	—	2	2	no	—
717	C₃×C₂²⋊C₄	—	2	2	no	—
718	C₃×C₂²⋊C₄	—	4	1	no	—
719	C₃×C₂²⋊C₄	—	4	1	no	—
720	C₃×C₂²⋊C₄	—	4	1	no	—
721	C₃×C₂²⋊C₄	—	4	1	no	—
722	C₃×C₂²⋊C₄	—	4	1	no	—
723	C₃×C₂²⋊C₄	—	4	1	no	—
724	C₃×C₂²⋊C₄	—	4	1	no	—
725	C₃×C₂²⋊C₄	—	4	1	no	—
726	C₃×C₂²⋊C₄	—	4	1	no	—
727	C₃×C₂²⋊C₄	—	4	1	no	—
728	C₃×C₂²⋊C₄	—	4	1	no	—
729	C₃×C₂²⋊C₄	—	4	1	no	—
730	C₃×C₂²⋊C₄	—	4	1	no	—
731	C₃×C₂²⋊C₄	—	4	1	no	—
732	C₃×C₂²⋊C₄	—	4	1	no	—
733	C₃×C₂²⋊C₄	—	4	1	no	—
734	C₃×C₂²⋊C₄	—	4	1	no	—
735	C₃×C₂²⋊C₄	—	4	1	no	—
736	C₃×C₂²⋊C₄	—	4	1	no	—
737	C₃×C₄²	—	2	2	no	—
738	C₃×C₄²	—	2	2	no	—
739	C₃×C₄²	—	2	2	no	—
740	C₃×C₄²	—	2	2	no	—
741	C₃×C₄²	—	2	2	no	—
742	C₃×C₄²	—	2	2	no	—
743	C₃×C₄²	—	4	1	no	—
744	C₃×C₄²	—	4	1	no	—
745	C₃×C₄²	—	4	1	no	—
746	C₃×C₄²	—	4	1	no	—
747	C₃×C₄²	C₂×D₄	1	4	yes	—
748	C₃×C₄²	C₂×D₄	1	4	yes	—
749	C₃×C₄²	C₂×D₄	1	4	yes	—
750	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
751	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
752	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
753	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
754	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
755	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
756	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
757	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
758	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
759	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
760	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
761	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
762	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
763	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
764	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
765	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
766	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
767	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
768	C₄⋊Q₈	—	2	4	no	—
769	C₄⋊Q₈	—	2	4	no	—
770	C₄⋊Q₈	—	2	4	no	—
771	C₄⋊Q₈	—	4	2	no	—
772	#126	—	2	4	no	—
773	#126	—	2	4	no	—
774	#125	—	2	4	no	—
775	#125	—	2	4	no	—
776	#124	—	2	4	no	—
777	#124	—	2	4	no	—
778	#124	—	2	4	no	—
779	#124	—	4	2	no	—
780	#123	—	2	4	no	—
781	#123	—	2	4	no	—
782	C₂²⋊Q₈	—	2	4	no	—
783	C₂²⋊Q₈	—	2	4	no	—
784	C₂²⋊Q₈	—	2	4	no	—
785	C₂²⋊Q₈	—	2	4	no	—
786	C₂²⋊Q₈	—	2	4	no	—
787	C₂²⋊Q₈	—	2	4	no	—
788	C₂²⋊Q₈	—	2	4	no	—
789	C₂²⋊Q₈	—	4	2	no	—
790	C₂²⋊Q₈	—	4	2	no	—
791	C₂²⋊Q₈	—	4	2	no	—
792	#121	—	2	4	no	—
793	#121	—	4	2	no	—
794	C₄×Q₈	—	2	4	no	—
795	C₄×Q₈	—	2	4	no	—
796	C₄×Q₈	—	2	4	no	—
797	C₄×Q₈	C₃×D₄	1	8	yes	complemented
798	C₄×D₄	—	2	4	no	—
799	#117	—	2	4	no	—
800	#117	—	2	4	no	—
801	#117	—	2	4	no	—
802	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
803	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
804	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
805	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
806	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
807	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
808	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
809	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
810	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
811	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
812	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
813	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
814	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
815	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
816	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
817	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
818	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
819	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
820	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
821	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
822	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
823	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
824	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
825	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
826	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
827	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
828	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
829	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
830	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
831	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
832	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
833	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
834	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
835	C₂×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×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
845	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
846	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
847	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
848	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
849	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
850	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
851	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
852	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
853	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
854	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
855	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
856	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
857	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
858	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
859	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
860	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
861	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
862	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
863	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
864	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
865	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
866	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
867	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
868	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
869	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
870	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
871	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
872	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
873	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
874	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
875	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
876	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
877	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
878	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
879	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
880	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
881	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
882	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
883	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
884	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
885	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
886	C₂×C₄²	—	2	4	no	—
887	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
888	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
889	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
890	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
891	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
892	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
893	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
894	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
895	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
896	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
897	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
898	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
899	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
900	#95	C₂³×C₃	1	1	yes	characteristic
901	#95	C₂³×C₃	1	1	yes	characteristic
902	#95	C₂³×C₃	1	1	yes	characteristic
903	#95	C₂³×C₃	1	1	yes	characteristic
904	#95	C₂³×C₃	1	1	yes	characteristic
905	#95	C₂³×C₃	1	1	yes	characteristic
906	#95	C₂³×C₃	1	1	yes	characteristic
907	#95	C₂³×C₃	1	1	yes	characteristic
908	#95	C₂³×C₃	1	1	yes	characteristic
909	#95	C₂³×C₃	1	1	yes	characteristic
910	#95	C₂³×C₃	1	1	yes	characteristic
911	#95	C₂³×C₃	1	1	yes	characteristic
912	#95	C₂³×C₃	1	1	yes	characteristic
913	#95	C₂³×C₃	1	1	yes	characteristic
914	#95	C₂³×C₃	1	1	yes	characteristic
915	#95	C₂³×C₃	1	1	yes	characteristic
916	#95	C₂³×C₃	1	1	yes	characteristic
917	#95	C₂³×C₃	1	1	yes	characteristic
918	#95	C₂³×C₃	1	1	yes	characteristic
919	#95	C₂³×C₃	1	1	yes	characteristic
920	#95	C₂³×C₃	1	1	yes	characteristic
921	#95	C₂³×C₃	1	1	yes	characteristic
922	#95	C₂³×C₃	1	1	yes	characteristic
923	#95	C₂³×C₃	1	1	yes	characteristic
924	#95	C₂³×C₃	1	1	yes	characteristic
925	#95	C₂³×C₃	1	1	yes	characteristic
926	#95	C₂³×C₃	1	1	yes	characteristic
927	#95	C₂³×C₃	1	1	yes	characteristic
928	#95	C₂³×C₃	1	1	yes	characteristic
929	#95	C₂³×C₃	1	1	yes	characteristic
930	#95	C₂³×C₃	1	1	yes	characteristic
931	#95	C₂³×C₃	1	1	yes	characteristic
932	#95	C₂³×C₃	1	1	yes	characteristic
933	#95	C₂³×C₃	1	1	yes	characteristic
934	#95	C₂³×C₃	1	1	yes	characteristic
935	#95	C₂³×C₃	1	1	yes	characteristic
936	#95	C₂³×C₃	1	1	yes	characteristic
937	#95	C₂³×C₃	1	1	yes	characteristic
938	#95	C₂³×C₃	1	1	yes	characteristic
939	#95	C₂³×C₃	1	1	yes	characteristic
940	C₂³×C₃	—	2	1	no	—
941	C₂³×C₃	—	2	1	no	—
942	C₂³×C₃	—	2	1	no	—
943	C₂³×C₃	—	2	1	no	—
944	C₂³×C₃	—	2	1	no	—
945	C₂³×C₃	—	2	1	no	—
946	C₂³×C₃	—	2	1	no	—
947	C₂³×C₃	—	2	1	no	—
948	C₂³×C₃	—	2	1	no	—
949	C₂³×C₃	—	2	1	no	—
950	C₂³×C₃	—	2	1	no	—
951	C₂³×C₃	—	2	1	no	—
952	C₂³×C₃	—	2	1	no	—
953	C₂³×C₃	—	2	1	no	—
954	C₂³×C₃	—	2	1	no	—
955	C₂³×C₃	—	2	1	no	—
956	C₂³×C₃	—	2	1	no	—
957	C₂³×C₃	—	2	1	no	—
958	C₂³×C₃	—	2	1	no	—
959	C₂³×C₃	—	2	1	no	—
960	C₂³×C₃	—	2	1	no	—
961	C₂³×C₃	—	2	1	no	—
962	C₂³×C₃	—	2	1	no	—
963	C₂³×C₃	—	2	1	no	—
964	C₂³×C₃	—	2	1	no	—
965	C₂³×C₃	—	2	1	no	—
966	C₂³×C₃	—	2	1	no	—
967	C₂³×C₃	2₋¹⁺⁴	1	2	yes	—
968	C₂³×C₃	C₂⁵	1	1	yes	characteristic
969	C₃×Q₈	—	4	4	no	—
970	C₃×Q₈	—	4	4	no	—
971	C₃×Q₈	—	4	4	no	—
972	C₃×Q₈	—	4	4	no	—
973	C₃×Q₈	—	8	2	no	—
974	C₃×Q₈	—	8	2	no	—
975	C₃×D₄	—	4	4	no	—
976	C₃×D₄	—	8	2	no	—
977	C₃×D₄	—	8	2	no	—
978	C₃×D₄	—	8	2	no	—
979	C₃×D₄	—	8	2	no	—
980	C₃×D₄	—	8	2	no	—
981	C₂×C₃×C₄	—	2	8	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	—	2	1	no	—
1001	C₂×C₃×C₄	—	2	1	no	—
1002	C₂×C₃×C₄	—	2	1	no	—
1003	C₂×C₃×C₄	—	2	1	no	—
1004	C₂×C₃×C₄	—	2	1	no	—
1005	C₂×C₃×C₄	—	2	1	no	—
1006	C₂×C₃×C₄	—	2	1	no	—
1007	C₂×C₃×C₄	—	2	1	no	—
1008	C₂×C₃×C₄	—	2	1	no	—
1009	C₂×C₃×C₄	—	2	1	no	—
1010	C₂×C₃×C₄	—	2	1	no	—
1011	C₂×C₃×C₄	—	2	1	no	—
1012	C₂×C₃×C₄	—	2	1	no	—
1013	C₂×C₃×C₄	—	2	1	no	—
1014	C₂×C₃×C₄	—	2	1	no	—
1015	C₂×C₃×C₄	—	2	1	no	—
1016	C₂×C₃×C₄	—	2	1	no	—
1017	C₂×C₃×C₄	—	2	1	no	—
1018	C₂×C₃×C₄	—	2	1	no	—
1019	C₂×C₃×C₄	—	2	1	no	—
1020	C₂×C₃×C₄	—	2	1	no	—
1021	C₂×C₃×C₄	—	2	1	no	—
1022	C₂×C₃×C₄	—	2	1	no	—
1023	C₂×C₃×C₄	—	2	1	no	—
1024	C₂×C₃×C₄	—	2	1	no	—
1025	C₂×C₃×C₄	—	2	1	no	—
1026	C₂×C₃×C₄	—	2	1	no	—
1027	C₂×C₃×C₄	—	2	1	no	—
1028	C₂×C₃×C₄	—	2	1	no	—
1029	C₂×C₃×C₄	—	2	1	no	—
1030	C₂×C₃×C₄	—	2	1	no	—
1031	C₂×C₃×C₄	—	2	1	no	—
1032	C₂×C₃×C₄	—	2	1	no	—
1033	C₂×C₃×C₄	—	2	1	no	—
1034	C₂×C₃×C₄	—	2	1	no	—
1035	C₂×C₃×C₄	—	2	1	no	—
1036	C₂×C₃×C₄	—	2	1	no	—
1037	C₂×C₃×C₄	—	2	1	no	—
1038	C₂×C₃×C₄	—	2	1	no	—
1039	C₂×C₃×C₄	—	2	1	no	—
1040	C₂×C₃×C₄	—	2	1	no	—
1041	C₂×C₃×C₄	—	2	1	no	—
1042	C₂×C₃×C₄	—	2	1	no	—
1043	C₂×C₃×C₄	—	2	1	no	—
1044	C₂×C₃×C₄	—	2	1	no	—
1045	C₂×C₃×C₄	—	2	1	no	—
1046	C₂×C₃×C₄	—	2	1	no	—
1047	C₂×C₃×C₄	—	2	1	no	—
1048	C₂×C₃×C₄	—	2	1	no	—
1049	C₂×C₃×C₄	—	2	1	no	—
1050	C₂×C₃×C₄	—	2	1	no	—
1051	C₂×C₃×C₄	—	2	1	no	—
1052	C₂×C₃×C₄	—	2	1	no	—
1053	C₂×C₃×C₄	—	2	1	no	—
1054	C₂×C₃×C₄	—	4	4	no	—
1055	C₂×C₃×C₄	—	4	4	no	—
1056	C₂×C₃×C₄	—	4	4	no	—
1057	C₂×C₃×C₄	—	8	2	no	—
1058	C₂×C₃×C₄	—	8	2	no	—
1059	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1060	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1061	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1062	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1063	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1064	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1065	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
1066	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1067	C₂×C₃×C₄	2₋¹⁺⁴	1	2	yes	—
1068	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1069	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1070	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1071	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1072	C₂×Q₈	—	2	2	no	—
1073	C₂×Q₈	—	2	2	no	—
1074	C₂×Q₈	—	2	2	no	—
1075	C₂×Q₈	—	2	2	no	—
1076	C₂×Q₈	—	2	2	no	—
1077	C₂×Q₈	—	2	2	no	—
1078	C₂×Q₈	—	2	2	no	—
1079	C₂×Q₈	—	4	1	no	—
1080	C₂×Q₈	—	4	1	no	—
1081	C₂×Q₈	—	4	1	no	—
1082	C₂×Q₈	—	4	1	no	—
1083	C₂×Q₈	—	4	1	no	—
1084	C₂×Q₈	—	4	1	no	—
1085	C₂×Q₈	—	4	1	no	—
1086	C₂×Q₈	—	4	1	no	—
1087	C₂×Q₈	—	4	1	no	—
1088	C₂×Q₈	—	4	1	no	—
1089	C₂×Q₈	C₂×C₃×D₄	1	4	yes	—
1090	C₂×D₄	—	2	2	no	—
1091	C₂×D₄	—	2	2	no	—
1092	C₂×D₄	—	2	2	no	—
1093	C₂×D₄	—	2	2	no	—
1094	C₂×D₄	—	2	2	no	—
1095	C₂×D₄	—	2	2	no	—
1096	C₂×D₄	—	4	1	no	—
1097	C₂×D₄	—	4	1	no	—
1098	C₂×D₄	—	4	1	no	—
1099	C₂×D₄	—	4	1	no	—
1100	C₂×D₄	—	4	1	no	—
1101	C₂×D₄	—	4	1	no	—
1102	C₂×D₄	—	4	1	no	—
1103	C₂×D₄	—	4	1	no	—
1104	C₂×D₄	—	4	1	no	—
1105	C₂×D₄	—	4	1	no	—
1106	C₂×D₄	—	4	1	no	—
1107	C₂×D₄	—	4	1	no	—
1108	C₂²×C₄	—	2	2	no	—
1109	C₂²×C₄	—	2	2	no	—
1110	C₂²×C₄	—	2	2	no	—
1111	C₂²×C₄	—	2	2	no	—
1112	C₂²×C₄	—	2	2	no	—
1113	C₂²×C₄	—	2	2	no	—
1114	C₂²×C₄	—	2	2	no	—
1115	C₂²×C₄	—	2	2	no	—
1116	C₂²×C₄	—	2	2	no	—
1117	C₂²×C₄	—	4	1	no	—
1118	C₂²×C₄	—	4	1	no	—
1119	C₂²×C₄	—	4	1	no	—
1120	C₂²×C₄	—	4	1	no	—
1121	C₂²×C₄	—	4	1	no	—
1122	C₂²×C₄	—	4	1	no	—
1123	C₂²×C₄	—	4	1	no	—
1124	C₂²×C₄	—	4	1	no	—
1125	C₂²×C₄	—	4	1	no	—
1126	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1127	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1128	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1129	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1130	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1131	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1132	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1133	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1134	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1135	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1136	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1137	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1138	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1139	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1140	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1141	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1142	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1143	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1144	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1145	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1146	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1147	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1148	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1149	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1150	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1151	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1152	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1153	C₄⋊C₄	—	2	2	no	—
1154	C₄⋊C₄	—	2	2	no	—
1155	C₄⋊C₄	—	2	2	no	—
1156	C₄⋊C₄	—	2	2	no	—
1157	C₄⋊C₄	—	2	2	no	—
1158	C₄⋊C₄	—	2	2	no	—
1159	C₄⋊C₄	—	2	2	no	—
1160	C₄⋊C₄	—	2	2	no	—
1161	C₄⋊C₄	—	2	2	no	—
1162	C₄⋊C₄	—	2	2	no	—
1163	C₄⋊C₄	—	2	2	no	—
1164	C₄⋊C₄	—	2	2	no	—
1165	C₄⋊C₄	—	2	2	no	—
1166	C₄⋊C₄	—	2	2	no	—
1167	C₄⋊C₄	—	2	2	no	—
1168	C₄⋊C₄	—	2	2	no	—
1169	C₄⋊C₄	—	2	2	no	—
1170	C₄⋊C₄	—	2	2	no	—
1171	C₄⋊C₄	—	2	2	no	—
1172	C₄⋊C₄	—	2	2	no	—
1173	C₄⋊C₄	—	2	2	no	—
1174	C₄⋊C₄	—	2	2	no	—
1175	C₄⋊C₄	—	2	2	no	—
1176	C₄⋊C₄	—	2	2	no	—
1177	C₄⋊C₄	—	4	1	no	—
1178	C₄⋊C₄	—	4	1	no	—
1179	C₄⋊C₄	—	4	1	no	—
1180	C₄⋊C₄	—	4	1	no	—
1181	C₄⋊C₄	—	4	1	no	—
1182	C₄⋊C₄	—	4	1	no	—
1183	C₄⋊C₄	—	4	1	no	—
1184	C₄⋊C₄	—	4	1	no	—
1185	C₄⋊C₄	—	4	1	no	—
1186	C₄⋊C₄	—	4	1	no	—
1187	C₄⋊C₄	—	4	1	no	—
1188	C₄⋊C₄	—	4	1	no	—
1189	C₄⋊C₄	—	4	1	no	—
1190	C₄⋊C₄	—	4	1	no	—
1191	C₄⋊C₄	—	4	1	no	—
1192	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
1193	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
1194	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
1195	C₂²⋊C₄	—	2	2	no	—
1196	C₂²⋊C₄	—	2	2	no	—
1197	C₂²⋊C₄	—	2	2	no	—
1198	C₂²⋊C₄	—	2	2	no	—
1199	C₂²⋊C₄	—	2	2	no	—
1200	C₂²⋊C₄	—	2	2	no	—
1201	C₂²⋊C₄	—	2	2	no	—
1202	C₂²⋊C₄	—	2	2	no	—
1203	C₂²⋊C₄	—	2	2	no	—
1204	C₂²⋊C₄	—	2	2	no	—
1205	C₂²⋊C₄	—	2	2	no	—
1206	C₂²⋊C₄	—	2	2	no	—
1207	C₂²⋊C₄	—	2	2	no	—
1208	C₂²⋊C₄	—	2	2	no	—
1209	C₂²⋊C₄	—	2	2	no	—
1210	C₂²⋊C₄	—	2	2	no	—
1211	C₂²⋊C₄	—	2	2	no	—
1212	C₂²⋊C₄	—	2	2	no	—
1213	C₂²⋊C₄	—	2	2	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	2	2	no	—
1217	C₂²⋊C₄	—	2	2	no	—
1218	C₂²⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	4	1	no	—
1221	C₂²⋊C₄	—	4	1	no	—
1222	C₂²⋊C₄	—	4	1	no	—
1223	C₂²⋊C₄	—	4	1	no	—
1224	C₂²⋊C₄	—	4	1	no	—
1225	C₂²⋊C₄	—	4	1	no	—
1226	C₂²⋊C₄	—	4	1	no	—
1227	C₂²⋊C₄	—	4	1	no	—
1228	C₂²⋊C₄	—	4	1	no	—
1229	C₂²⋊C₄	—	4	1	no	—
1230	C₂²⋊C₄	—	4	1	no	—
1231	C₂²⋊C₄	—	4	1	no	—
1232	C₂²⋊C₄	—	4	1	no	—
1233	C₂²⋊C₄	—	4	1	no	—
1234	C₂²⋊C₄	—	4	1	no	—
1235	C₂²⋊C₄	—	4	1	no	—
1236	C₂²⋊C₄	—	4	1	no	—
1237	C₄²	—	2	2	no	—
1238	C₄²	—	2	2	no	—
1239	C₄²	—	2	2	no	—
1240	C₄²	—	2	2	no	—
1241	C₄²	—	2	2	no	—
1242	C₄²	—	2	2	no	—
1243	C₄²	—	4	1	no	—
1244	C₄²	—	4	1	no	—
1245	C₄²	—	4	1	no	—
1246	C₄²	—	4	1	no	—
1247	C₄²	C₂×C₃×D₄	1	4	yes	—
1248	C₄²	C₂×C₃×D₄	1	4	yes	—
1249	C₄²	C₂×C₃×D₄	1	4	yes	—
1250	C₂²×C₃	—	2	2	no	—
1251	C₂²×C₃	—	2	2	no	—
1252	C₂²×C₃	—	2	2	no	—
1253	C₂²×C₃	—	4	1	no	—
1254	C₂²×C₃	—	4	1	no	—
1255	C₂²×C₃	—	4	1	no	—
1256	C₂²×C₃	—	4	1	no	—
1257	C₂²×C₃	—	4	1	no	—
1258	C₂²×C₃	—	4	1	no	—
1259	C₂²×C₃	—	4	1	no	—
1260	C₂²×C₃	—	4	1	no	—
1261	C₂²×C₃	—	4	1	no	—
1262	C₂²×C₃	—	4	1	no	—
1263	C₂²×C₃	—	4	1	no	—
1264	C₂²×C₃	—	4	1	no	—
1265	C₂²×C₃	—	4	1	no	—
1266	C₂²×C₃	—	4	1	no	—
1267	C₂²×C₃	—	4	1	no	—
1268	C₂²×C₃	—	4	1	no	—
1269	C₂²×C₃	—	4	1	no	—
1270	C₂²×C₃	—	4	1	no	—
1271	C₂²×C₃	—	4	1	no	—
1272	C₂²×C₃	—	4	1	no	—
1273	C₂²×C₃	—	4	1	no	—
1274	C₂²×C₃	—	4	1	no	—
1275	C₂²×C₃	—	4	1	no	—
1276	C₂²×C₃	—	4	1	no	—
1277	C₂²×C₃	—	4	1	no	—
1278	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1279	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1280	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1281	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1282	C₂²×C₃	#585	1	1	yes	characteristic
1283	C₂²×C₃	#585	1	1	yes	characteristic
1284	C₂²×C₃	#585	1	1	yes	characteristic
1285	C₃×C₄	—	2	2	no	—
1286	C₃×C₄	—	2	2	no	—
1287	C₃×C₄	—	2	2	no	—
1288	C₃×C₄	—	2	2	no	—
1289	C₃×C₄	—	2	2	no	—
1290	C₃×C₄	—	2	2	no	—
1291	C₃×C₄	—	2	2	no	—
1292	C₃×C₄	—	2	2	no	—
1293	C₃×C₄	—	2	2	no	—
1294	C₃×C₄	—	4	1	no	—
1295	C₃×C₄	—	4	1	no	—
1296	C₃×C₄	—	4	1	no	—
1297	C₃×C₄	—	4	1	no	—
1298	C₃×C₄	—	4	1	no	—
1299	C₃×C₄	—	4	1	no	—
1300	C₃×C₄	—	4	1	no	—
1301	C₃×C₄	—	4	1	no	—
1302	C₃×C₄	—	4	1	no	—
1303	C₃×C₄	—	4	1	no	—
1304	C₃×C₄	—	4	1	no	—
1305	C₃×C₄	—	4	1	no	—
1306	C₃×C₄	—	4	1	no	—
1307	C₃×C₄	—	4	1	no	—
1308	C₃×C₄	—	4	1	no	—
1309	C₃×C₄	—	4	1	no	—
1310	C₃×C₄	—	4	1	no	—
1311	C₃×C₄	—	4	1	no	—
1312	C₂³	—	2	1	no	—
1313	C₂³	—	2	1	no	—
1314	C₂³	—	2	1	no	—
1315	C₂³	—	2	1	no	—
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	1	no	—
1324	C₂³	—	2	1	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	2	1	no	—
1329	C₂³	—	2	1	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	2	1	no	—
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	C₃×2₋¹⁺⁴	1	2	yes	—
1340	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1341	Q₈	—	4	4	no	—
1342	Q₈	—	4	4	no	—
1343	Q₈	—	4	4	no	—
1344	Q₈	—	4	4	no	—
1345	Q₈	—	8	2	no	—
1346	Q₈	—	8	2	no	—
1347	D₄	—	4	4	no	—
1348	D₄	—	8	2	no	—
1349	D₄	—	8	2	no	—
1350	D₄	—	8	2	no	—
1351	D₄	—	8	2	no	—
1352	D₄	—	8	2	no	—
1353	C₂×C₄	—	2	8	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	4	4	no	—
1427	C₂×C₄	—	4	4	no	—
1428	C₂×C₄	—	4	4	no	—
1429	C₂×C₄	—	8	2	no	—
1430	C₂×C₄	—	8	2	no	—
1431	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1432	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1433	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1434	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1435	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1436	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1437	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1438	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1439	C₂×C₄	C₃×2₋¹⁺⁴	1	2	yes	—
1440	C₂×C₃	—	4	2	no	—
1441	C₂×C₃	—	8	1	no	—
1442	C₂×C₃	—	8	1	no	—
1443	C₂×C₃	—	8	1	no	—
1444	C₂×C₃	#3449	1	1	yes	characteristic
1445	C₂×C₃	#3486	1	1	yes	characteristic
1446	C₂×C₃	#3488	1	1	yes	characteristic
1447	C₂×C₃	#3547	1	1	yes	characteristic
1448	C₂×C₃	#3561	1	1	yes	characteristic
1449	C₂×C₃	#3564	1	1	yes	characteristic
1450	C₂×C₃	#3565	1	1	yes	characteristic
1451	C₂²	—	2	2	no	—
1452	C₂²	—	2	2	no	—
1453	C₂²	—	2	2	no	—
1454	C₂²	—	4	1	no	—
1455	C₂²	—	4	1	no	—
1456	C₂²	—	4	1	no	—
1457	C₂²	—	4	1	no	—
1458	C₂²	—	4	1	no	—
1459	C₂²	—	4	1	no	—
1460	C₂²	—	4	1	no	—
1461	C₂²	—	4	1	no	—
1462	C₂²	—	4	1	no	—
1463	C₂²	—	4	1	no	—
1464	C₂²	—	4	1	no	—
1465	C₂²	—	4	1	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	4	1	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	4	1	no	—
1472	C₂²	—	4	1	no	—
1473	C₂²	—	4	1	no	—
1474	C₂²	—	4	1	no	—
1475	C₂²	—	4	1	no	—
1476	C₂²	—	4	1	no	—
1477	C₂²	—	4	1	no	—
1478	C₂²	—	4	1	no	—
1479	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1480	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1481	C₂²	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1482	C₂²	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1483	C₂²	C₃×#585	1	1	yes	characteristic
1484	C₂²	C₃×#585	1	1	yes	characteristic
1485	C₂²	C₃×#585	1	1	yes	characteristic
1486	C₄	—	2	2	no	—
1487	C₄	—	2	2	no	—
1488	C₄	—	2	2	no	—
1489	C₄	—	2	2	no	—
1490	C₄	—	2	2	no	—
1491	C₄	—	2	2	no	—
1492	C₄	—	2	2	no	—
1493	C₄	—	2	2	no	—
1494	C₄	—	2	2	no	—
1495	C₄	—	4	1	no	—
1496	C₄	—	4	1	no	—
1497	C₄	—	4	1	no	—
1498	C₄	—	4	1	no	—
1499	C₄	—	4	1	no	—
1500	C₄	—	4	1	no	—
1501	C₄	—	4	1	no	—
1502	C₄	—	4	1	no	—
1503	C₄	—	4	1	no	—
1504	C₄	—	4	1	no	—
1505	C₄	—	4	1	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	4	1	no	—
1508	C₄	—	4	1	no	—
1509	C₄	—	4	1	no	—
1510	C₄	—	4	1	no	—
1511	C₄	—	4	1	no	—
1512	C₄	—	4	1	no	—
1513	C₃	#37260	1	1	yes	characteristic, direct product factor, Sylow
1514	C₂	—	4	2	no	—
1515	C₂	—	8	1	no	—
1516	C₂	—	8	1	no	—
1517	C₂	—	8	1	no	—
1518	C₂	C₃×#3449	1	1	yes	characteristic
1519	C₂	C₃×#3486	1	1	yes	characteristic
1520	C₂	C₃×#3488	1	1	yes	characteristic
1521	C₂	C₃×#3547	1	1	yes	characteristic
1522	C₂	C₃×#3561	1	1	yes	characteristic
1523	C₂	C₃×#3564	1	1	yes	characteristic
1524	C₂	C₃×#3565	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₃×#2676	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#542	C₂	semidirect
2. C₂×C₃×#533	C₂	semidirect
3. C₃×#2852	C₂	semidirect
4. C₃×#2850	C₂	semidirect
5. C₃×#2732	C₂	semidirect
6. C₃×#2731	C₂	semidirect
7. C₃×#2730	C₂	semidirect
8. C₃×#2729	C₂	semidirect
9. C₃×#2713	C₂	semidirect
10. C₃×#2711	C₂	semidirect
11. C₃×#2707	C₂	semidirect
12. C₃×#2704	C₂	semidirect
13. C₃×#2696	C₂	semidirect
14. C₃×#2692	C₂	semidirect
15. C₃×#2683	C₂	semidirect
16. C₃×#2681	C₂	semidirect
17. C₃×#2677	C₂	semidirect
18. C₃×#2677	C₂	semidirect
20. C₃×#2674	C₂	semidirect
21. C₃×#2637	C₂	semidirect
22. C₃×#2632	C₂	semidirect
23. C₃×#2610	C₂	semidirect
24. C₃×#2609	C₂	semidirect
25. C₃×#2604	C₂	semidirect
26. C₃×#2601	C₂	semidirect
27. C₃×#2599	C₂	semidirect
28. C₃×#2598	C₂	semidirect
29. C₃×#2545	C₂	semidirect
30. C₃×#2536	C₂	semidirect
31. C₃×#2320	C₂	semidirect
32. #37260	C₃	direct (N × H)
190. C₂×#542	C₂×C₃	semidirect
191. C₂×#533	C₂×C₃	semidirect
192. #2852	C₂×C₃	semidirect
193. #2850	C₂×C₃	semidirect
194. #2732	C₂×C₃	semidirect
195. #2731	C₂×C₃	semidirect
196. #2730	C₂×C₃	semidirect
197. #2729	C₂×C₃	semidirect
198. #2713	C₂×C₃	semidirect
199. #2711	C₂×C₃	semidirect
200. #2707	C₂×C₃	semidirect
201. #2704	C₂×C₃	semidirect
202. #2696	C₂×C₃	semidirect
203. #2692	C₂×C₃	semidirect
204. #2683	C₂×C₃	semidirect
205. #2681	C₂×C₃	semidirect
206. #2677	C₂×C₃	semidirect
207. #2677	C₂×C₃	semidirect
209. #2674	C₂×C₃	semidirect
210. #2637	C₂×C₃	semidirect
211. #2632	C₂×C₃	semidirect
212. #2610	C₂×C₃	semidirect
213. #2609	C₂×C₃	semidirect
214. #2604	C₂×C₃	semidirect
215. #2601	C₂×C₃	semidirect
216. #2599	C₂×C₃	semidirect
217. #2598	C₂×C₃	semidirect
218. #2545	C₂×C₃	semidirect
219. #2536	C₂×C₃	semidirect
220. #2320	C₂×C₃	semidirect
268. C₃×C₄×Q₈	D₄	semidirect
797. C₄×Q₈	C₃×D₄	semidirect
1513. C₃	#37260	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×#542	2
C₂×C₃×#533	2
C₃×#2852	2
C₃×#2850	2
C₃×#2732	2
C₃×#2731	2
C₃×#2730	2
C₃×#2729	2
C₃×#2713	2
C₃×#2711	2
C₃×#2707	2
C₃×#2704	2
C₃×#2696	2
C₃×#2692	2
C₃×#2683	2
C₃×#2681	2
C₃×#2677	2
C₃×#2676	2
C₃×#2674	2
C₃×#2637	2
C₃×#2632	2
C₃×#2610	2
C₃×#2609	2
C₃×#2604	2
C₃×#2601	2
C₃×#2599	2
C₃×#2598	2
C₃×#2545	2
C₃×#2536	2
C₃×#2320	2
#37260	3

Subgroups — C3×#37260 #10655867

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#37260 #10655867