Subgroups — C₃×#37655 #10656262

Order 768.

3206 conjugacy classes of subgroups.

The subgroup lattice has 1284 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#547	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×#535	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×C₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2849	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2682	C₂	1	2	yes	maximal, complemented
7	C₃×#2681	C₂	1	2	yes	maximal, complemented
8	C₃×#2674	C₂	1	2	yes	maximal, complemented
9	C₃×#2673	C₂	1	2	yes	maximal, complemented
10	C₃×#2617	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2613	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2539	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2534	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2461	C₂	1	2	yes	maximal, complemented
15	C₃×#2456	C₂	1	2	yes	maximal, complemented
16	C₃×#2445	C₂	1	2	yes	maximal, complemented
17	C₃×#2443	C₂	1	2	yes	maximal, complemented
18	C₃×#2413	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2411	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2406	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2404	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2344	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2321	C₂	1	1	yes	maximal, characteristic, complemented
24	#37655	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂²×C₃×#41	C₂²	1	1	yes	characteristic
26	C₂²×C₃×#41	C₂²	1	1	yes	characteristic
27	C₂³×C₃×D₄	C₂²	1	1	yes	characteristic
28	C₂⁴×C₃×C₄	C₂²	1	1	yes	characteristic
29	C₃×#547	—	2	8	no	—
30	C₃×#535	—	2	8	no	—
31	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₃×#127	C₂²	1	2	yes	—
33	C₂×C₃×#124	C₂²	1	2	yes	—
34	C₃×#525	—	2	8	no	—
35	C₂×C₃×#123	—	2	8	no	—
36	C₂×C₃×#123	C₂²	1	2	yes	—
37	C₂×C₃×#123	C₂²	1	2	yes	—
38	C₂×C₃×#123	C₂²	1	2	yes	—
39	C₂×C₃×#123	C₂²	1	2	yes	—
40	C₂×C₃×#123	C₂²	1	1	yes	characteristic
41	C₂×C₃×#123	C₂²	1	1	yes	characteristic
42	C₂×C₃×#123	C₂²	1	1	yes	characteristic
43	C₂×C₃×#123	C₂²	1	1	yes	characteristic
44	C₂×C₃×#123	C₂²	1	1	yes	characteristic
45	C₂×C₃×#123	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₃×#123	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
48	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₃×#121	C₂²	1	1	yes	characteristic
51	C₂×C₃×#121	C₂²	1	2	yes	—
52	C₂×C₃×#121	C₂²	1	2	yes	—
53	C₂×C₃×#121	C₂²	1	2	yes	complemented
54	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₃×#120	C₂²	1	1	yes	characteristic
56	C₂×C₃×#120	C₂²	1	1	yes	characteristic
57	C₂×C₃×#120	C₂²	1	1	yes	characteristic
58	C₂×C₃×#120	C₂²	1	1	yes	characteristic
59	C₂×C₃×#120	C₂²	1	1	yes	characteristic
60	C₂×C₃×#120	C₂²	1	1	yes	characteristic
61	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
62	C₂×C₃×C₄×D₄	C₂²	1	2	yes	complemented
63	C₂×C₃×C₄×D₄	C₂²	1	2	yes	complemented
64	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₃×#117	C₂²	1	1	yes	characteristic
66	C₂×C₃×#117	C₂²	1	1	yes	characteristic
67	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
68	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
69	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
70	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
71	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
72	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
73	C₃×#399	C₂²	1	2	yes	complemented
74	C₃×#398	C₂²	1	2	yes	complemented
75	C₃×#397	C₂²	1	2	yes	complemented
76	C₃×#396	C₂²	1	2	yes	complemented
77	C₃×#396	C₂²	1	2	yes	complemented
78	C₃×#396	C₂²	1	2	yes	complemented
79	C₃×#395	C₂²	1	2	yes	complemented
80	C₃×#394	C₂²	1	2	yes	—
81	C₃×#394	C₂²	1	2	yes	—
82	C₃×#394	C₂²	1	2	yes	complemented
83	C₃×#394	C₂²	1	2	yes	complemented
84	C₃×#394	C₂²	1	2	yes	complemented
85	C₃×#394	C₂²	1	2	yes	complemented
86	C₃×#394	C₂²	1	2	yes	complemented
87	C₃×#393	C₂²	1	2	yes	complemented
88	C₃×#392	C₂²	1	2	yes	—
89	C₃×#392	C₂²	1	2	yes	—
90	C₃×#392	C₂²	1	2	yes	complemented
91	C₃×#392	C₂²	1	2	yes	complemented
92	C₃×#392	C₂²	1	2	yes	complemented
93	C₃×#390	C₂²	1	2	yes	complemented
94	C₃×#390	C₂²	1	2	yes	complemented
95	C₃×#390	C₂²	1	2	yes	complemented
96	C₃×#390	C₂²	1	2	yes	complemented
97	C₃×#389	C₂²	1	2	yes	complemented
98	C₃×#389	C₂²	1	2	yes	complemented
99	C₃×#388	C₂²	1	2	yes	complemented
100	C₃×#388	C₂²	1	2	yes	complemented
101	C₃×#388	C₂²	1	2	yes	complemented
102	C₃×#388	C₂²	1	2	yes	complemented
103	C₃×#388	C₂²	1	2	yes	complemented
104	C₃×#387	C₂²	1	2	yes	complemented
105	C₃×#387	C₂²	1	2	yes	complemented
106	C₃×#386	C₂²	1	1	yes	characteristic
107	C₃×#386	C₂²	1	1	yes	characteristic
108	C₃×#386	C₂²	1	1	yes	characteristic
109	C₃×#386	C₂²	1	2	yes	complemented
110	C₃×#386	C₂²	1	2	yes	complemented
111	C₃×#386	C₂²	1	2	yes	complemented
112	C₃×#386	C₂²	1	2	yes	complemented
113	C₃×#386	C₂²	1	2	yes	complemented
114	C₃×#386	C₂²	1	2	yes	complemented
115	C₃×#385	C₂²	1	1	yes	characteristic
116	C₃×#385	C₂²	1	2	yes	complemented
117	C₃×#385	C₂²	1	2	yes	complemented
118	C₃×#385	C₂²	1	2	yes	complemented
119	C₃×#385	C₂²	1	2	yes	complemented
120	C₃×#381	C₂²	1	1	yes	characteristic
121	C₃×#381	C₂²	1	1	yes	characteristic
122	C₃×#381	C₂²	1	1	yes	characteristic
123	C₃×#380	C₂²	1	1	yes	characteristic
124	C₃×#379	C₂²	1	1	yes	characteristic
125	C₃×#379	C₂²	1	1	yes	characteristic
126	C₃×C₄×C₄⋊C₄	C₂²	1	2	yes	complemented
127	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
128	C₂×#547	C₂×C₃	1	1	yes	characteristic, complemented
129	C₂×#535	C₂×C₃	1	1	yes	characteristic, complemented
130	C₂×#525	C₂×C₃	1	1	yes	characteristic, complemented
131	C₂²×#123	C₂×C₃	1	1	yes	characteristic, complemented
132	#2849	C₂×C₃	1	1	yes	characteristic, complemented
133	#2682	C₂×C₃	1	2	yes	complemented
134	#2681	C₂×C₃	1	2	yes	complemented
135	#2674	C₂×C₃	1	2	yes	complemented
136	#2673	C₂×C₃	1	2	yes	complemented
137	#2617	C₂×C₃	1	1	yes	characteristic, complemented
138	#2613	C₂×C₃	1	1	yes	characteristic, complemented
139	#2539	C₂×C₃	1	1	yes	characteristic, complemented
140	#2534	C₂×C₃	1	1	yes	characteristic, complemented
141	#2461	C₂×C₃	1	2	yes	complemented
142	#2456	C₂×C₃	1	2	yes	complemented
143	#2445	C₂×C₃	1	2	yes	complemented
144	#2443	C₂×C₃	1	2	yes	complemented
145	#2413	C₂×C₃	1	1	yes	characteristic, complemented
146	#2411	C₂×C₃	1	1	yes	characteristic, complemented
147	#2406	C₂×C₃	1	1	yes	characteristic, complemented
148	#2404	C₂×C₃	1	1	yes	characteristic, complemented
149	#2344	C₂×C₃	1	1	yes	characteristic, complemented
150	#2321	C₂×C₃	1	1	yes	characteristic, complemented
151	C₂⁵×C₃	C₂³	1	1	yes	characteristic
152	C₂⁵×C₃	C₂³	1	1	yes	characteristic
153	C₂×C₃×#41	—	2	4	no	—
154	C₂×C₃×#41	—	2	4	no	—
155	C₂×C₃×#41	—	2	4	no	—
156	C₂×C₃×#41	—	2	4	no	—
157	C₂×C₃×#41	—	4	2	no	—
158	C₂×C₃×#41	—	4	2	no	—
159	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
160	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
161	C₂²×C₃×D₄	—	2	4	no	—
162	C₂²×C₃×D₄	—	2	4	no	—
163	C₂²×C₃×D₄	—	4	2	no	—
164	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
165	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
166	C₂²×C₃×D₄	C₂³	1	2	yes	—
167	C₂²×C₃×D₄	C₂³	1	2	yes	—
168	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
169	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
170	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
171	C₂²×C₃×D₄	C₂³	1	2	yes	—
172	C₂²×C₃×D₄	C₂³	1	2	yes	—
173	C₂²×C₃×D₄	C₂³	1	2	yes	—
174	C₂²×C₃×D₄	C₂³	1	2	yes	—
175	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
176	C₂²×C₃×D₄	C₂³	1	2	yes	—
177	C₂²×C₃×D₄	C₂³	1	2	yes	—
178	C₂³×C₃×C₄	—	2	4	no	—
179	C₂³×C₃×C₄	—	2	4	no	—
180	C₂³×C₃×C₄	—	4	2	no	—
181	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
182	C₂³×C₃×C₄	C₂³	1	2	yes	—
183	C₂³×C₃×C₄	C₂³	1	2	yes	—
184	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
185	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
186	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
187	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
188	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
189	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
190	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
191	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
192	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
193	C₃×C₄⋊Q₈	—	2	4	no	—
194	C₃×#127	—	2	8	no	—
195	C₃×#124	—	2	8	no	—
196	C₃×#123	—	2	4	no	—
197	C₃×#123	—	2	4	no	—
198	C₃×#123	—	2	4	no	—
199	C₃×#123	—	2	8	no	—
200	C₃×#123	—	2	8	no	—
201	C₃×#123	—	2	8	no	—
202	C₃×#123	—	2	8	no	—
203	C₃×#123	—	2	4	no	—
204	C₃×#123	—	2	4	no	—
205	C₃×#123	—	2	4	no	—
206	C₃×#123	—	4	2	no	—
207	C₃×C₂²⋊Q₈	—	2	4	no	—
208	C₃×C₂²⋊Q₈	—	2	4	no	—
209	C₃×C₂²⋊Q₈	—	2	8	no	—
210	C₃×#121	—	2	8	no	—
211	C₃×#121	—	2	8	no	—
212	C₃×#121	—	2	4	no	—
213	C₃×#121	—	2	4	no	—
214	C₃×#121	—	2	8	no	—
215	C₃×#120	—	2	4	no	—
216	C₃×#120	—	2	4	no	—
217	C₃×#120	—	2	4	no	—
218	C₃×#120	—	2	4	no	—
219	C₃×#120	—	4	2	no	—
220	C₃×#120	D₄	1	8	yes	complemented
221	C₃×C₄×D₄	—	2	8	no	—
222	C₃×C₄×D₄	—	2	4	no	—
223	C₃×C₄×D₄	—	2	4	no	—
224	C₃×C₄×D₄	—	2	8	no	—
225	C₃×#117	—	2	4	no	—
226	C₃×#117	—	2	4	no	—
227	C₂×C₃×C₄⋊C₄	—	2	4	no	—
228	C₂×C₃×C₄⋊C₄	—	2	4	no	—
229	C₂×C₃×C₄⋊C₄	D₄	1	8	yes	complemented
230	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
233	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
234	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
235	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
236	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
238	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
240	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
243	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
244	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
245	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
250	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
251	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
252	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
257	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
258	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
259	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
262	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
263	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
264	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
266	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
267	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
268	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
272	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
274	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
275	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
276	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
277	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
278	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
279	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
280	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
281	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
282	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
283	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
284	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
286	C₂×C₃×C₄²	C₂³	1	2	yes	—
287	C₂×C₃×C₄²	C₂³	1	2	yes	—
288	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
289	C₂×C₃×C₄²	C₂³	1	2	yes	—
290	C₃×#95	C₂³	1	2	yes	—
291	C₃×#95	C₂³	1	2	yes	—
292	C₃×#95	C₂³	1	2	yes	—
293	C₃×#95	C₂³	1	2	yes	—
294	C₃×#95	C₂³	1	2	yes	—
295	C₃×#95	C₂³	1	2	yes	—
296	C₃×#95	C₂³	1	2	yes	—
297	C₃×#95	C₂³	1	2	yes	—
298	C₃×#95	C₂³	1	2	yes	—
299	C₃×#95	C₂³	1	2	yes	—
300	C₃×#95	C₂³	1	2	yes	—
301	C₃×#95	C₂³	1	2	yes	—
302	C₂²×#41	C₂²×C₃	1	1	yes	characteristic
303	C₂²×#41	C₂²×C₃	1	1	yes	characteristic
304	C₂³×D₄	C₂²×C₃	1	1	yes	characteristic
305	C₂⁴×C₄	C₂²×C₃	1	1	yes	characteristic
306	#547	—	2	8	no	—
307	#535	—	2	8	no	—
308	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
309	C₂×#127	C₂²×C₃	1	2	yes	—
310	C₂×#124	C₂²×C₃	1	2	yes	—
311	#525	—	2	8	no	—
312	C₂×#123	—	2	8	no	—
313	C₂×#123	C₂²×C₃	1	1	yes	characteristic
314	C₂×#123	C₂²×C₃	1	1	yes	characteristic
315	C₂×#123	C₂²×C₃	1	1	yes	characteristic
316	C₂×#123	C₂²×C₃	1	2	yes	—
317	C₂×#123	C₂²×C₃	1	2	yes	—
318	C₂×#123	C₂²×C₃	1	2	yes	—
319	C₂×#123	C₂²×C₃	1	2	yes	—
320	C₂×#123	C₂²×C₃	1	1	yes	characteristic
321	C₂×#123	C₂²×C₃	1	1	yes	characteristic
322	C₂×#123	C₂²×C₃	1	1	yes	characteristic, complemented
323	C₂×#123	C₂²×C₃	1	1	yes	characteristic, complemented
324	C₂×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
325	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
326	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
327	C₂×#121	C₂²×C₃	1	1	yes	characteristic
328	C₂×#121	C₂²×C₃	1	2	yes	—
329	C₂×#121	C₂²×C₃	1	2	yes	—
330	C₂×#121	C₂²×C₃	1	2	yes	complemented
331	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
332	C₂×#120	C₂²×C₃	1	1	yes	characteristic
333	C₂×#120	C₂²×C₃	1	1	yes	characteristic
334	C₂×#120	C₂²×C₃	1	1	yes	characteristic
335	C₂×#120	C₂²×C₃	1	1	yes	characteristic
336	C₂×#120	C₂²×C₃	1	1	yes	characteristic
337	C₂×#120	C₂²×C₃	1	1	yes	characteristic
338	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
339	C₂×C₄×D₄	C₂²×C₃	1	2	yes	complemented
340	C₂×C₄×D₄	C₂²×C₃	1	2	yes	complemented
341	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
342	C₂×#117	C₂²×C₃	1	1	yes	characteristic
343	C₂×#117	C₂²×C₃	1	1	yes	characteristic
344	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
345	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
346	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
347	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
348	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
349	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
350	#399	C₂²×C₃	1	2	yes	complemented
351	#398	C₂²×C₃	1	2	yes	complemented
352	#397	C₂²×C₃	1	2	yes	complemented
353	#396	C₂²×C₃	1	2	yes	complemented
354	#396	C₂²×C₃	1	2	yes	complemented
355	#396	C₂²×C₃	1	2	yes	complemented
356	#395	C₂²×C₃	1	2	yes	complemented
357	#394	C₂²×C₃	1	2	yes	—
358	#394	C₂²×C₃	1	2	yes	—
359	#394	C₂²×C₃	1	2	yes	complemented
360	#394	C₂²×C₃	1	2	yes	complemented
361	#394	C₂²×C₃	1	2	yes	complemented
362	#394	C₂²×C₃	1	2	yes	complemented
363	#394	C₂²×C₃	1	2	yes	complemented
364	#393	C₂²×C₃	1	2	yes	complemented
365	#392	C₂²×C₃	1	2	yes	—
366	#392	C₂²×C₃	1	2	yes	—
367	#392	C₂²×C₃	1	2	yes	complemented
368	#392	C₂²×C₃	1	2	yes	complemented
369	#392	C₂²×C₃	1	2	yes	complemented
370	#390	C₂²×C₃	1	2	yes	complemented
371	#390	C₂²×C₃	1	2	yes	complemented
372	#390	C₂²×C₃	1	2	yes	complemented
373	#390	C₂²×C₃	1	2	yes	complemented
374	#389	C₂²×C₃	1	2	yes	complemented
375	#389	C₂²×C₃	1	2	yes	complemented
376	#388	C₂²×C₃	1	2	yes	complemented
377	#388	C₂²×C₃	1	2	yes	complemented
378	#388	C₂²×C₃	1	2	yes	complemented
379	#388	C₂²×C₃	1	2	yes	complemented
380	#388	C₂²×C₃	1	2	yes	complemented
381	#387	C₂²×C₃	1	2	yes	complemented
382	#387	C₂²×C₃	1	2	yes	complemented
383	#386	C₂²×C₃	1	1	yes	characteristic
384	#386	C₂²×C₃	1	1	yes	characteristic
385	#386	C₂²×C₃	1	1	yes	characteristic
386	#386	C₂²×C₃	1	2	yes	complemented
387	#386	C₂²×C₃	1	2	yes	complemented
388	#386	C₂²×C₃	1	2	yes	complemented
389	#386	C₂²×C₃	1	2	yes	complemented
390	#386	C₂²×C₃	1	2	yes	complemented
391	#386	C₂²×C₃	1	2	yes	complemented
392	#385	C₂²×C₃	1	1	yes	characteristic
393	#385	C₂²×C₃	1	2	yes	complemented
394	#385	C₂²×C₃	1	2	yes	complemented
395	#385	C₂²×C₃	1	2	yes	complemented
396	#385	C₂²×C₃	1	2	yes	complemented
397	#381	C₂²×C₃	1	1	yes	characteristic
398	#381	C₂²×C₃	1	1	yes	characteristic
399	#381	C₂²×C₃	1	1	yes	characteristic
400	#380	C₂²×C₃	1	1	yes	characteristic
401	#379	C₂²×C₃	1	1	yes	characteristic
402	#379	C₂²×C₃	1	1	yes	characteristic
403	C₄×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
404	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
405	C₂⁴×C₃	—	2	2	no	—
406	C₂⁴×C₃	—	2	2	no	—
407	C₂⁴×C₃	—	2	2	no	—
408	C₂⁴×C₃	—	2	2	no	—
409	C₂⁴×C₃	—	2	2	no	—
410	C₂⁴×C₃	—	4	2	no	—
411	C₂⁴×C₃	—	4	2	no	—
412	C₂⁴×C₃	—	4	2	no	—
413	C₂⁴×C₃	—	4	2	no	—
414	C₂⁴×C₃	C₂×D₄	1	4	yes	—
415	C₂⁴×C₃	C₂⁴	1	2	yes	—
416	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
417	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
418	C₂⁴×C₃	C₂⁴	1	2	yes	—
419	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
420	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
421	C₃×#41	—	4	16	no	—
422	C₃×#41	—	4	16	no	—
423	C₂×C₃×Q₈	—	2	2	no	—
424	C₂×C₃×Q₈	—	2	2	no	—
425	C₂×C₃×Q₈	—	2	2	no	—
426	C₂×C₃×Q₈	—	2	2	no	—
427	C₂×C₃×Q₈	—	4	1	no	—
428	C₂×C₃×Q₈	—	4	1	no	—
429	C₂×C₃×D₄	—	2	2	no	—
430	C₂×C₃×D₄	—	2	2	no	—
431	C₂×C₃×D₄	—	2	4	no	—
432	C₂×C₃×D₄	—	2	2	no	—
433	C₂×C₃×D₄	—	2	2	no	—
434	C₂×C₃×D₄	—	2	4	no	—
435	C₂×C₃×D₄	—	2	2	no	—
436	C₂×C₃×D₄	—	2	2	no	—
437	C₂×C₃×D₄	—	2	2	no	—
438	C₂×C₃×D₄	—	2	4	no	—
439	C₂×C₃×D₄	—	2	2	no	—
440	C₂×C₃×D₄	—	2	2	no	—
441	C₂×C₃×D₄	—	2	2	no	—
442	C₂×C₃×D₄	—	2	4	no	—
443	C₂×C₃×D₄	—	2	4	no	—
444	C₂×C₃×D₄	—	2	2	no	—
445	C₂×C₃×D₄	—	2	2	no	—
446	C₂×C₃×D₄	—	2	2	no	—
447	C₂×C₃×D₄	—	2	4	no	—
448	C₂×C₃×D₄	—	2	4	no	—
449	C₂×C₃×D₄	—	2	4	no	—
450	C₂×C₃×D₄	—	4	2	no	—
451	C₂×C₃×D₄	—	4	2	no	—
452	C₂×C₃×D₄	—	4	2	no	—
453	C₂×C₃×D₄	—	4	2	no	—
454	C₂×C₃×D₄	—	4	2	no	—
455	C₂×C₃×D₄	—	4	2	no	—
456	C₂×C₃×D₄	—	4	2	no	—
457	C₂×C₃×D₄	—	4	1	no	—
458	C₂×C₃×D₄	—	4	1	no	—
459	C₂×C₃×D₄	—	4	16	no	—
460	C₂×C₃×D₄	—	4	2	no	—
461	C₂×C₃×D₄	—	4	2	no	—
462	C₂×C₃×D₄	—	4	2	no	—
463	C₂×C₃×D₄	—	4	2	no	—
464	C₂×C₃×D₄	—	4	2	no	—
465	C₂×C₃×D₄	—	4	2	no	—
466	C₂×C₃×D₄	—	4	2	no	—
467	C₂×C₃×D₄	—	4	2	no	—
468	C₂×C₃×D₄	—	4	2	no	—
469	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
470	C₂×C₃×D₄	C₂×D₄	1	8	yes	—
471	C₂²×C₃×C₄	—	2	2	no	—
472	C₂²×C₃×C₄	—	2	2	no	—
473	C₂²×C₃×C₄	—	2	2	no	—
474	C₂²×C₃×C₄	—	2	2	no	—
475	C₂²×C₃×C₄	—	2	2	no	—
476	C₂²×C₃×C₄	—	2	2	no	—
477	C₂²×C₃×C₄	—	2	4	no	—
478	C₂²×C₃×C₄	—	2	2	no	—
479	C₂²×C₃×C₄	—	2	2	no	—
480	C₂²×C₃×C₄	—	2	4	no	—
481	C₂²×C₃×C₄	—	2	2	no	—
482	C₂²×C₃×C₄	—	2	2	no	—
483	C₂²×C₃×C₄	—	2	2	no	—
484	C₂²×C₃×C₄	—	2	2	no	—
485	C₂²×C₃×C₄	—	2	2	no	—
486	C₂²×C₃×C₄	—	2	2	no	—
487	C₂²×C₃×C₄	—	2	2	no	—
488	C₂²×C₃×C₄	—	2	2	no	—
489	C₂²×C₃×C₄	—	2	2	no	—
490	C₂²×C₃×C₄	—	2	4	no	—
491	C₂²×C₃×C₄	—	2	4	no	—
492	C₂²×C₃×C₄	—	4	2	no	—
493	C₂²×C₃×C₄	—	4	2	no	—
494	C₂²×C₃×C₄	—	4	2	no	—
495	C₂²×C₃×C₄	—	4	2	no	—
496	C₂²×C₃×C₄	—	4	2	no	—
497	C₂²×C₃×C₄	—	4	1	no	—
498	C₂²×C₃×C₄	—	4	1	no	—
499	C₂²×C₃×C₄	—	4	1	no	—
500	C₂²×C₃×C₄	—	4	1	no	—
501	C₂²×C₃×C₄	—	4	16	no	—
502	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
503	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
504	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
505	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
506	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
507	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
508	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
509	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
510	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
511	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
512	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
513	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
514	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
515	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
516	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
517	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
518	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
519	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
520	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
521	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
522	C₃×C₄⋊C₄	—	2	2	no	—
523	C₃×C₄⋊C₄	—	2	2	no	—
524	C₃×C₄⋊C₄	—	2	2	no	—
525	C₃×C₄⋊C₄	—	2	4	no	—
526	C₃×C₄⋊C₄	—	2	4	no	—
527	C₃×C₄⋊C₄	—	2	4	no	—
528	C₃×C₄⋊C₄	—	2	4	no	—
529	C₃×C₄⋊C₄	—	2	2	no	—
530	C₃×C₄⋊C₄	—	2	4	no	—
531	C₃×C₄⋊C₄	—	2	4	no	—
532	C₃×C₄⋊C₄	—	2	2	no	—
533	C₃×C₄⋊C₄	—	2	2	no	—
534	C₃×C₄⋊C₄	—	4	2	no	—
535	C₃×C₄⋊C₄	—	4	2	no	—
536	C₃×C₄⋊C₄	—	4	2	no	—
537	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
538	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
539	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
540	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
541	C₃×C₂²⋊C₄	—	2	2	no	—
542	C₃×C₂²⋊C₄	—	2	2	no	—
543	C₃×C₂²⋊C₄	—	2	4	no	—
544	C₃×C₂²⋊C₄	—	2	4	no	—
545	C₃×C₂²⋊C₄	—	2	2	no	—
546	C₃×C₂²⋊C₄	—	2	4	no	—
547	C₃×C₂²⋊C₄	—	2	2	no	—
548	C₃×C₂²⋊C₄	—	2	4	no	—
549	C₃×C₂²⋊C₄	—	2	4	no	—
550	C₃×C₂²⋊C₄	—	2	4	no	—
551	C₃×C₂²⋊C₄	—	2	4	no	—
552	C₃×C₂²⋊C₄	—	2	4	no	—
553	C₃×C₂²⋊C₄	—	2	4	no	—
554	C₃×C₂²⋊C₄	—	2	4	no	—
555	C₃×C₂²⋊C₄	—	2	2	no	—
556	C₃×C₂²⋊C₄	—	2	2	no	—
557	C₃×C₂²⋊C₄	—	2	2	no	—
558	C₃×C₂²⋊C₄	—	2	4	no	—
559	C₃×C₂²⋊C₄	—	2	4	no	—
560	C₃×C₂²⋊C₄	—	2	2	no	—
561	C₃×C₂²⋊C₄	—	2	2	no	—
562	C₃×C₂²⋊C₄	—	2	2	no	—
563	C₃×C₂²⋊C₄	—	2	2	no	—
564	C₃×C₂²⋊C₄	—	4	2	no	—
565	C₃×C₂²⋊C₄	—	4	2	no	—
566	C₃×C₂²⋊C₄	—	4	2	no	—
567	C₃×C₂²⋊C₄	—	4	2	no	—
568	C₃×C₂²⋊C₄	—	4	2	no	—
569	C₃×C₂²⋊C₄	—	4	2	no	—
570	C₃×C₂²⋊C₄	—	4	2	no	—
571	C₃×C₂²⋊C₄	—	4	2	no	—
572	C₃×C₂²⋊C₄	—	4	2	no	—
573	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
574	C₃×C₂²⋊C₄	C₂×D₄	1	8	yes	—
575	C₃×C₄²	—	2	4	no	—
576	C₃×C₄²	—	2	4	no	—
577	C₃×C₄²	—	2	2	no	—
578	C₃×C₄²	—	4	2	no	—
579	C₂⁵	C₂³×C₃	1	1	yes	characteristic
580	C₂⁵	C₂³×C₃	1	1	yes	characteristic
581	C₂×#41	—	2	4	no	—
582	C₂×#41	—	2	4	no	—
583	C₂×#41	—	2	4	no	—
584	C₂×#41	—	2	4	no	—
585	C₂×#41	—	4	2	no	—
586	C₂×#41	—	4	2	no	—
587	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
588	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
589	C₂²×D₄	—	2	4	no	—
590	C₂²×D₄	—	2	4	no	—
591	C₂²×D₄	—	4	2	no	—
592	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
593	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
594	C₂²×D₄	C₂³×C₃	1	2	yes	—
595	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
596	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
597	C₂²×D₄	C₂³×C₃	1	2	yes	—
598	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
599	C₂²×D₄	C₂³×C₃	1	2	yes	—
600	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
601	C₂²×D₄	C₂³×C₃	1	2	yes	—
602	C₂²×D₄	C₂³×C₃	1	2	yes	—
603	C₂²×D₄	C₂³×C₃	1	2	yes	—
604	C₂²×D₄	C₂³×C₃	1	2	yes	—
605	C₂²×D₄	C₂³×C₃	1	2	yes	—
606	C₂³×C₄	—	2	4	no	—
607	C₂³×C₄	—	2	4	no	—
608	C₂³×C₄	—	4	2	no	—
609	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
610	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
611	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
612	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
613	C₂³×C₄	C₂³×C₃	1	2	yes	—
614	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
615	C₂³×C₄	C₂³×C₃	1	2	yes	—
616	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
617	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
618	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
619	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
620	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
621	C₄⋊Q₈	—	2	4	no	—
622	#127	—	2	8	no	—
623	#124	—	2	8	no	—
624	#123	—	2	4	no	—
625	#123	—	2	4	no	—
626	#123	—	2	4	no	—
627	#123	—	2	8	no	—
628	#123	—	2	8	no	—
629	#123	—	2	8	no	—
630	#123	—	2	8	no	—
631	#123	—	2	4	no	—
632	#123	—	2	4	no	—
633	#123	—	2	4	no	—
634	#123	—	4	2	no	—
635	C₂²⋊Q₈	—	2	4	no	—
636	C₂²⋊Q₈	—	2	4	no	—
637	C₂²⋊Q₈	—	2	8	no	—
638	#121	—	2	8	no	—
639	#121	—	2	8	no	—
640	#121	—	2	4	no	—
641	#121	—	2	4	no	—
642	#121	—	2	8	no	—
643	#120	—	2	4	no	—
644	#120	—	2	4	no	—
645	#120	—	2	4	no	—
646	#120	—	2	4	no	—
647	#120	—	4	2	no	—
648	#120	C₃×D₄	1	8	yes	complemented
649	C₄×D₄	—	2	8	no	—
650	C₄×D₄	—	2	4	no	—
651	C₄×D₄	—	2	4	no	—
652	C₄×D₄	—	2	8	no	—
653	#117	—	2	4	no	—
654	#117	—	2	4	no	—
655	C₂×C₄⋊C₄	—	2	4	no	—
656	C₂×C₄⋊C₄	—	2	4	no	—
657	C₂×C₄⋊C₄	C₃×D₄	1	8	yes	complemented
658	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
659	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
660	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
661	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
662	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
663	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
664	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
665	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
666	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
667	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
668	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
669	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
670	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
671	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
672	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
673	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
674	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
675	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
676	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
677	C₂×C₂²⋊C₄	—	2	4	no	—
678	C₂×C₂²⋊C₄	—	2	4	no	—
679	C₂×C₂²⋊C₄	—	2	4	no	—
680	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
681	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
682	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
683	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
684	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
685	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
686	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
687	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
688	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
689	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
690	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
691	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
692	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
693	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
694	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
695	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
696	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
697	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
698	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
699	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
700	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
701	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
702	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
703	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
704	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
705	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
706	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
707	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
708	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
709	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
710	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
711	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
712	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
713	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
714	C₂×C₄²	C₂³×C₃	1	2	yes	—
715	C₂×C₄²	C₂³×C₃	1	2	yes	—
716	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
717	C₂×C₄²	C₂³×C₃	1	2	yes	—
718	#95	C₂³×C₃	1	2	yes	—
719	#95	C₂³×C₃	1	2	yes	—
720	#95	C₂³×C₃	1	2	yes	—
721	#95	C₂³×C₃	1	2	yes	—
722	#95	C₂³×C₃	1	2	yes	—
723	#95	C₂³×C₃	1	2	yes	—
724	#95	C₂³×C₃	1	2	yes	—
725	#95	C₂³×C₃	1	2	yes	—
726	#95	C₂³×C₃	1	2	yes	—
727	#95	C₂³×C₃	1	2	yes	—
728	#95	C₂³×C₃	1	2	yes	—
729	#95	C₂³×C₃	1	2	yes	—
730	C₂³×C₃	—	2	2	no	—
731	C₂³×C₃	—	2	2	no	—
732	C₂³×C₃	—	2	8	no	—
733	C₂³×C₃	—	2	2	no	—
734	C₂³×C₃	—	2	1	no	—
735	C₂³×C₃	—	2	1	no	—
736	C₂³×C₃	—	2	2	no	—
737	C₂³×C₃	—	2	2	no	—
738	C₂³×C₃	—	2	2	no	—
739	C₂³×C₃	—	2	2	no	—
740	C₂³×C₃	—	2	2	no	—
741	C₂³×C₃	—	2	2	no	—
742	C₂³×C₃	—	2	2	no	—
743	C₂³×C₃	—	2	2	no	—
744	C₂³×C₃	—	2	1	no	—
745	C₂³×C₃	—	2	1	no	—
746	C₂³×C₃	—	2	1	no	—
747	C₂³×C₃	—	2	2	no	—
748	C₂³×C₃	—	2	1	no	—
749	C₂³×C₃	—	2	1	no	—
750	C₂³×C₃	—	2	2	no	—
751	C₂³×C₃	—	2	1	no	—
752	C₂³×C₃	—	2	2	no	—
753	C₂³×C₃	—	2	2	no	—
754	C₂³×C₃	—	2	2	no	—
755	C₂³×C₃	—	2	2	no	—
756	C₂³×C₃	—	2	2	no	—
757	C₂³×C₃	—	2	2	no	—
758	C₂³×C₃	—	2	2	no	—
759	C₂³×C₃	—	2	2	no	—
760	C₂³×C₃	—	4	8	no	—
761	C₂³×C₃	—	4	4	no	—
762	C₂³×C₃	—	4	4	no	—
763	C₂³×C₃	—	4	8	no	—
764	C₂³×C₃	—	4	4	no	—
765	C₂³×C₃	—	4	4	no	—
766	C₂³×C₃	—	4	4	no	—
767	C₂³×C₃	—	8	4	no	—
768	C₂³×C₃	—	8	4	no	—
769	C₂³×C₃	C₂²×D₄	1	4	yes	—
770	C₂³×C₃	C₂²×D₄	1	2	yes	—
771	C₂³×C₃	C₂²×D₄	1	2	yes	—
772	C₂³×C₃	C₂²×D₄	1	2	yes	—
773	C₂³×C₃	H(5,𝔽₂)	1	2	yes	—
774	C₂³×C₃	C₂⁵	1	1	yes	characteristic
775	C₃×Q₈	—	4	4	no	—
776	C₃×Q₈	—	4	4	no	—
777	C₃×D₄	—	2	8	no	—
778	C₃×D₄	—	4	8	no	—
779	C₃×D₄	—	4	8	no	—
780	C₃×D₄	—	4	8	no	—
781	C₃×D₄	—	4	4	no	—
782	C₃×D₄	—	4	4	no	—
783	C₃×D₄	—	4	4	no	—
784	C₃×D₄	—	4	8	no	—
785	C₃×D₄	—	4	4	no	—
786	C₃×D₄	—	4	4	no	—
787	C₃×D₄	—	8	4	no	—
788	C₃×D₄	—	8	4	no	—
789	C₃×D₄	—	8	4	no	—
790	C₃×D₄	—	8	4	no	—
791	C₂×C₃×C₄	—	2	8	no	—
792	C₂×C₃×C₄	—	2	8	no	—
793	C₂×C₃×C₄	—	2	1	no	—
794	C₂×C₃×C₄	—	2	1	no	—
795	C₂×C₃×C₄	—	2	1	no	—
796	C₂×C₃×C₄	—	2	1	no	—
797	C₂×C₃×C₄	—	2	1	no	—
798	C₂×C₃×C₄	—	2	1	no	—
799	C₂×C₃×C₄	—	2	1	no	—
800	C₂×C₃×C₄	—	2	1	no	—
801	C₂×C₃×C₄	—	2	1	no	—
802	C₂×C₃×C₄	—	2	1	no	—
803	C₂×C₃×C₄	—	2	2	no	—
804	C₂×C₃×C₄	—	2	2	no	—
805	C₂×C₃×C₄	—	2	2	no	—
806	C₂×C₃×C₄	—	2	2	no	—
807	C₂×C₃×C₄	—	2	1	no	—
808	C₂×C₃×C₄	—	2	2	no	—
809	C₂×C₃×C₄	—	2	2	no	—
810	C₂×C₃×C₄	—	2	2	no	—
811	C₂×C₃×C₄	—	2	1	no	—
812	C₂×C₃×C₄	—	2	1	no	—
813	C₂×C₃×C₄	—	2	2	no	—
814	C₂×C₃×C₄	—	2	2	no	—
815	C₂×C₃×C₄	—	2	1	no	—
816	C₂×C₃×C₄	—	2	1	no	—
817	C₂×C₃×C₄	—	2	1	no	—
818	C₂×C₃×C₄	—	2	2	no	—
819	C₂×C₃×C₄	—	2	1	no	—
820	C₂×C₃×C₄	—	2	2	no	—
821	C₂×C₃×C₄	—	2	1	no	—
822	C₂×C₃×C₄	—	2	2	no	—
823	C₂×C₃×C₄	—	2	2	no	—
824	C₂×C₃×C₄	—	2	2	no	—
825	C₂×C₃×C₄	—	2	2	no	—
826	C₂×C₃×C₄	—	2	2	no	—
827	C₂×C₃×C₄	—	2	2	no	—
828	C₂×C₃×C₄	—	2	2	no	—
829	C₂×C₃×C₄	—	2	2	no	—
830	C₂×C₃×C₄	—	2	2	no	—
831	C₂×C₃×C₄	—	2	2	no	—
832	C₂×C₃×C₄	—	4	4	no	—
833	C₂×C₃×C₄	—	4	4	no	—
834	C₂×C₃×C₄	—	4	4	no	—
835	C₂×C₃×C₄	—	4	8	no	—
836	C₂×C₃×C₄	—	4	8	no	—
837	C₂×C₃×C₄	—	4	4	no	—
838	C₂×C₃×C₄	—	4	4	no	—
839	C₂×C₃×C₄	—	4	4	no	—
840	C₂×C₃×C₄	—	4	4	no	—
841	C₂×C₃×C₄	—	4	4	no	—
842	C₂×C₃×C₄	C₂²×D₄	1	4	yes	—
843	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
844	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
845	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
846	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
847	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
848	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
849	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
850	C₂⁴	—	2	2	no	—
851	C₂⁴	—	2	2	no	—
852	C₂⁴	—	2	2	no	—
853	C₂⁴	—	2	2	no	—
854	C₂⁴	—	2	2	no	—
855	C₂⁴	—	4	2	no	—
856	C₂⁴	—	4	2	no	—
857	C₂⁴	—	4	2	no	—
858	C₂⁴	—	4	2	no	—
859	C₂⁴	C₂×C₃×D₄	1	4	yes	—
860	C₂⁴	C₂⁴×C₃	1	2	yes	—
861	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
862	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
863	C₂⁴	C₂⁴×C₃	1	2	yes	—
864	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
865	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
866	#41	—	4	16	no	—
867	#41	—	4	16	no	—
868	C₂×Q₈	—	2	2	no	—
869	C₂×Q₈	—	2	2	no	—
870	C₂×Q₈	—	2	2	no	—
871	C₂×Q₈	—	2	2	no	—
872	C₂×Q₈	—	4	1	no	—
873	C₂×Q₈	—	4	1	no	—
874	C₂×D₄	—	2	2	no	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	2	4	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	2	no	—
879	C₂×D₄	—	2	4	no	—
880	C₂×D₄	—	2	2	no	—
881	C₂×D₄	—	2	2	no	—
882	C₂×D₄	—	2	2	no	—
883	C₂×D₄	—	2	4	no	—
884	C₂×D₄	—	2	2	no	—
885	C₂×D₄	—	2	2	no	—
886	C₂×D₄	—	2	2	no	—
887	C₂×D₄	—	2	4	no	—
888	C₂×D₄	—	2	4	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	2	no	—
892	C₂×D₄	—	2	4	no	—
893	C₂×D₄	—	2	4	no	—
894	C₂×D₄	—	2	4	no	—
895	C₂×D₄	—	4	2	no	—
896	C₂×D₄	—	4	2	no	—
897	C₂×D₄	—	4	1	no	—
898	C₂×D₄	—	4	1	no	—
899	C₂×D₄	—	4	2	no	—
900	C₂×D₄	—	4	2	no	—
901	C₂×D₄	—	4	2	no	—
902	C₂×D₄	—	4	2	no	—
903	C₂×D₄	—	4	2	no	—
904	C₂×D₄	—	4	16	no	—
905	C₂×D₄	—	4	2	no	—
906	C₂×D₄	—	4	2	no	—
907	C₂×D₄	—	4	2	no	—
908	C₂×D₄	—	4	2	no	—
909	C₂×D₄	—	4	2	no	—
910	C₂×D₄	—	4	2	no	—
911	C₂×D₄	—	4	2	no	—
912	C₂×D₄	—	4	2	no	—
913	C₂×D₄	—	4	2	no	—
914	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
915	C₂×D₄	C₂×C₃×D₄	1	8	yes	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	4	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	4	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	4	no	—
936	C₂²×C₄	—	2	4	no	—
937	C₂²×C₄	—	4	2	no	—
938	C₂²×C₄	—	4	2	no	—
939	C₂²×C₄	—	4	1	no	—
940	C₂²×C₄	—	4	1	no	—
941	C₂²×C₄	—	4	1	no	—
942	C₂²×C₄	—	4	1	no	—
943	C₂²×C₄	—	4	2	no	—
944	C₂²×C₄	—	4	2	no	—
945	C₂²×C₄	—	4	2	no	—
946	C₂²×C₄	—	4	16	no	—
947	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
948	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
949	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
950	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
951	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
952	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
953	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
954	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
955	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
956	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
957	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
958	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
959	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
960	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
961	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
962	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
963	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
964	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
965	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
966	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	4	no	—
971	C₄⋊C₄	—	2	4	no	—
972	C₄⋊C₄	—	2	4	no	—
973	C₄⋊C₄	—	2	4	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	4	no	—
976	C₄⋊C₄	—	2	4	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	4	2	no	—
980	C₄⋊C₄	—	4	2	no	—
981	C₄⋊C₄	—	4	2	no	—
982	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
983	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
984	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
985	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	4	no	—
989	C₂²⋊C₄	—	2	4	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	4	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	4	no	—
994	C₂²⋊C₄	—	2	4	no	—
995	C₂²⋊C₄	—	2	4	no	—
996	C₂²⋊C₄	—	2	4	no	—
997	C₂²⋊C₄	—	2	4	no	—
998	C₂²⋊C₄	—	2	4	no	—
999	C₂²⋊C₄	—	2	4	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	4	no	—
1004	C₂²⋊C₄	—	2	4	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	4	2	no	—
1010	C₂²⋊C₄	—	4	2	no	—
1011	C₂²⋊C₄	—	4	2	no	—
1012	C₂²⋊C₄	—	4	2	no	—
1013	C₂²⋊C₄	—	4	2	no	—
1014	C₂²⋊C₄	—	4	2	no	—
1015	C₂²⋊C₄	—	4	2	no	—
1016	C₂²⋊C₄	—	4	2	no	—
1017	C₂²⋊C₄	—	4	2	no	—
1018	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
1019	C₂²⋊C₄	C₂×C₃×D₄	1	8	yes	—
1020	C₄²	—	2	4	no	—
1021	C₄²	—	2	4	no	—
1022	C₄²	—	2	2	no	—
1023	C₄²	—	4	2	no	—
1024	C₂²×C₃	—	2	2	no	—
1025	C₂²×C₃	—	2	4	no	—
1026	C₂²×C₃	—	2	2	no	—
1027	C₂²×C₃	—	2	4	no	—
1028	C₂²×C₃	—	2	2	no	—
1029	C₂²×C₃	—	2	4	no	—
1030	C₂²×C₃	—	2	4	no	—
1031	C₂²×C₃	—	2	4	no	—
1032	C₂²×C₃	—	2	4	no	—
1033	C₂²×C₃	—	4	16	no	—
1034	C₂²×C₃	—	4	1	no	—
1035	C₂²×C₃	—	4	2	no	—
1036	C₂²×C₃	—	4	1	no	—
1037	C₂²×C₃	—	4	2	no	—
1038	C₂²×C₃	—	4	2	no	—
1039	C₂²×C₃	—	4	2	no	—
1040	C₂²×C₃	—	4	2	no	—
1041	C₂²×C₃	—	4	1	no	—
1042	C₂²×C₃	—	4	1	no	—
1043	C₂²×C₃	—	4	2	no	—
1044	C₂²×C₃	—	4	1	no	—
1045	C₂²×C₃	—	4	1	no	—
1046	C₂²×C₃	—	4	2	no	—
1047	C₂²×C₃	—	4	2	no	—
1048	C₂²×C₃	—	4	2	no	—
1049	C₂²×C₃	—	4	2	no	—
1050	C₂²×C₃	—	4	2	no	—
1051	C₂²×C₃	—	4	1	no	—
1052	C₂²×C₃	—	4	1	no	—
1053	C₂²×C₃	—	4	2	no	—
1054	C₂²×C₃	—	4	2	no	—
1055	C₂²×C₃	—	4	2	no	—
1056	C₂²×C₃	—	4	2	no	—
1057	C₂²×C₃	—	4	2	no	—
1058	C₂²×C₃	—	8	8	no	—
1059	C₂²×C₃	D₄²	1	4	yes	—
1060	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1061	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1062	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1063	C₂²×C₃	#585	1	2	yes	—
1064	C₂²×C₃	#585	1	2	yes	—
1065	C₃×C₄	—	2	2	no	—
1066	C₃×C₄	—	2	2	no	—
1067	C₃×C₄	—	2	2	no	—
1068	C₃×C₄	—	2	2	no	—
1069	C₃×C₄	—	2	2	no	—
1070	C₃×C₄	—	2	2	no	—
1071	C₃×C₄	—	2	2	no	—
1072	C₃×C₄	—	2	4	no	—
1073	C₃×C₄	—	4	1	no	—
1074	C₃×C₄	—	4	2	no	—
1075	C₃×C₄	—	4	1	no	—
1076	C₃×C₄	—	4	1	no	—
1077	C₃×C₄	—	4	2	no	—
1078	C₃×C₄	—	4	2	no	—
1079	C₃×C₄	—	4	1	no	—
1080	C₃×C₄	—	4	2	no	—
1081	C₃×C₄	—	4	2	no	—
1082	C₂³	—	2	2	no	—
1083	C₂³	—	2	2	no	—
1084	C₂³	—	2	2	no	—
1085	C₂³	—	2	1	no	—
1086	C₂³	—	2	1	no	—
1087	C₂³	—	2	2	no	—
1088	C₂³	—	2	2	no	—
1089	C₂³	—	2	2	no	—
1090	C₂³	—	2	2	no	—
1091	C₂³	—	2	2	no	—
1092	C₂³	—	2	2	no	—
1093	C₂³	—	2	2	no	—
1094	C₂³	—	2	8	no	—
1095	C₂³	—	2	2	no	—
1096	C₂³	—	2	1	no	—
1097	C₂³	—	2	1	no	—
1098	C₂³	—	2	1	no	—
1099	C₂³	—	2	2	no	—
1100	C₂³	—	2	1	no	—
1101	C₂³	—	2	1	no	—
1102	C₂³	—	2	2	no	—
1103	C₂³	—	2	1	no	—
1104	C₂³	—	2	2	no	—
1105	C₂³	—	2	2	no	—
1106	C₂³	—	2	2	no	—
1107	C₂³	—	2	2	no	—
1108	C₂³	—	2	2	no	—
1109	C₂³	—	2	2	no	—
1110	C₂³	—	2	2	no	—
1111	C₂³	—	2	2	no	—
1112	C₂³	—	4	8	no	—
1113	C₂³	—	4	4	no	—
1114	C₂³	—	4	4	no	—
1115	C₂³	—	4	8	no	—
1116	C₂³	—	4	4	no	—
1117	C₂³	—	4	4	no	—
1118	C₂³	—	4	4	no	—
1119	C₂³	—	8	4	no	—
1120	C₂³	—	8	4	no	—
1121	C₂³	C₂²×C₃×D₄	1	4	yes	—
1122	C₂³	C₂²×C₃×D₄	1	2	yes	—
1123	C₂³	C₂²×C₃×D₄	1	2	yes	—
1124	C₂³	C₂²×C₃×D₄	1	2	yes	—
1125	C₂³	C₃×H(5,𝔽₂)	1	2	yes	—
1126	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1127	Q₈	—	4	4	no	—
1128	Q₈	—	4	4	no	—
1129	D₄	—	2	8	no	—
1130	D₄	—	4	8	no	—
1131	D₄	—	4	8	no	—
1132	D₄	—	4	8	no	—
1133	D₄	—	4	4	no	—
1134	D₄	—	4	4	no	—
1135	D₄	—	4	4	no	—
1136	D₄	—	4	8	no	—
1137	D₄	—	4	4	no	—
1138	D₄	—	4	4	no	—
1139	D₄	—	8	4	no	—
1140	D₄	—	8	4	no	—
1141	D₄	—	8	4	no	—
1142	D₄	—	8	4	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	2	no	—
1154	C₂×C₄	—	2	2	no	—
1155	C₂×C₄	—	2	2	no	—
1156	C₂×C₄	—	2	2	no	—
1157	C₂×C₄	—	2	8	no	—
1158	C₂×C₄	—	2	8	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	2	no	—
1161	C₂×C₄	—	2	2	no	—
1162	C₂×C₄	—	2	2	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	2	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	2	no	—
1175	C₂×C₄	—	2	2	no	—
1176	C₂×C₄	—	2	2	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	2	2	no	—
1179	C₂×C₄	—	2	2	no	—
1180	C₂×C₄	—	2	2	no	—
1181	C₂×C₄	—	2	2	no	—
1182	C₂×C₄	—	2	2	no	—
1183	C₂×C₄	—	2	2	no	—
1184	C₂×C₄	—	4	4	no	—
1185	C₂×C₄	—	4	4	no	—
1186	C₂×C₄	—	4	4	no	—
1187	C₂×C₄	—	4	8	no	—
1188	C₂×C₄	—	4	8	no	—
1189	C₂×C₄	—	4	4	no	—
1190	C₂×C₄	—	4	4	no	—
1191	C₂×C₄	—	4	4	no	—
1192	C₂×C₄	—	4	4	no	—
1193	C₂×C₄	—	4	4	no	—
1194	C₂×C₄	C₂²×C₃×D₄	1	4	yes	—
1195	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1196	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1197	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1198	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1199	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1200	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1201	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1202	C₂×C₃	—	2	4	no	—
1203	C₂×C₃	—	4	2	no	—
1204	C₂×C₃	—	4	4	no	—
1205	C₂×C₃	—	8	1	no	—
1206	C₂×C₃	—	8	1	no	—
1207	C₂×C₃	—	8	2	no	—
1208	C₂×C₃	#3449	1	1	yes	characteristic
1209	C₂×C₃	C₂×D₄²	1	1	yes	characteristic
1210	C₂×C₃	#3485	1	2	yes	—
1211	C₂×C₃	#3487	1	1	yes	characteristic
1212	C₂×C₃	#3533	1	2	yes	—
1213	C₂²	—	2	2	no	—
1214	C₂²	—	2	4	no	—
1215	C₂²	—	2	2	no	—
1216	C₂²	—	2	4	no	—
1217	C₂²	—	2	2	no	—
1218	C₂²	—	2	4	no	—
1219	C₂²	—	2	4	no	—
1220	C₂²	—	2	4	no	—
1221	C₂²	—	2	4	no	—
1222	C₂²	—	4	16	no	—
1223	C₂²	—	4	1	no	—
1224	C₂²	—	4	2	no	—
1225	C₂²	—	4	2	no	—
1226	C₂²	—	4	1	no	—
1227	C₂²	—	4	2	no	—
1228	C₂²	—	4	2	no	—
1229	C₂²	—	4	2	no	—
1230	C₂²	—	4	1	no	—
1231	C₂²	—	4	1	no	—
1232	C₂²	—	4	2	no	—
1233	C₂²	—	4	1	no	—
1234	C₂²	—	4	1	no	—
1235	C₂²	—	4	2	no	—
1236	C₂²	—	4	2	no	—
1237	C₂²	—	4	2	no	—
1238	C₂²	—	4	2	no	—
1239	C₂²	—	4	2	no	—
1240	C₂²	—	4	2	no	—
1241	C₂²	—	4	1	no	—
1242	C₂²	—	4	1	no	—
1243	C₂²	—	4	2	no	—
1244	C₂²	—	4	2	no	—
1245	C₂²	—	4	2	no	—
1246	C₂²	—	4	2	no	—
1247	C₂²	—	8	8	no	—
1248	C₂²	C₃×D₄²	1	4	yes	—
1249	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1250	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1251	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1252	C₂²	C₃×#585	1	2	yes	—
1253	C₂²	C₃×#585	1	2	yes	—
1254	C₄	—	2	2	no	—
1255	C₄	—	2	2	no	—
1256	C₄	—	2	2	no	—
1257	C₄	—	2	2	no	—
1258	C₄	—	2	2	no	—
1259	C₄	—	2	2	no	—
1260	C₄	—	2	2	no	—
1261	C₄	—	2	4	no	—
1262	C₄	—	4	1	no	—
1263	C₄	—	4	2	no	—
1264	C₄	—	4	1	no	—
1265	C₄	—	4	1	no	—
1266	C₄	—	4	2	no	—
1267	C₄	—	4	2	no	—
1268	C₄	—	4	2	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	2	no	—
1271	C₃	#37655	1	1	yes	characteristic, direct product factor, Sylow
1272	C₂	—	2	4	no	—
1273	C₂	—	4	4	no	—
1274	C₂	—	4	2	no	—
1275	C₂	—	8	2	no	—
1276	C₂	—	8	1	no	—
1277	C₂	—	8	1	no	—
1278	C₂	C₃×#3449	1	1	yes	characteristic
1279	C₂	C₂×C₃×D₄²	1	1	yes	characteristic
1280	C₂	C₃×#3485	1	2	yes	—
1281	C₂	C₃×#3487	1	1	yes	characteristic
1282	C₂	C₃×#3533	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#547	C₂	semidirect
2. C₂×C₃×#535	C₂	semidirect
3. C₂×C₃×#525	C₂	semidirect
4. C₂²×C₃×#123	C₂	semidirect
5. C₃×#2849	C₂	semidirect
6. C₃×#2682	C₂	semidirect
7. C₃×#2681	C₂	semidirect
8. C₃×#2674	C₂	semidirect
9. C₃×#2673	C₂	semidirect
10. C₃×#2617	C₂	semidirect
11. C₃×#2613	C₂	semidirect
12. C₃×#2539	C₂	semidirect
13. C₃×#2534	C₂	semidirect
14. C₃×#2461	C₂	semidirect
15. C₃×#2456	C₂	semidirect
16. C₃×#2445	C₂	semidirect
17. C₃×#2443	C₂	semidirect
18. C₃×#2413	C₂	semidirect
19. C₃×#2411	C₂	semidirect
20. C₃×#2406	C₂	semidirect
21. C₃×#2404	C₂	semidirect
22. C₃×#2344	C₂	semidirect
23. C₃×#2321	C₂	semidirect
24. #37655	C₃	direct (N × H)
31. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
45. C₂×C₃×#123	C₂²	semidirect
46. C₂×C₃×#123	C₂²	semidirect
47. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
48. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
49. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
53. C₂×C₃×#121	C₂²	semidirect
54. C₂×C₃×#121	C₂²	semidirect
62. C₂×C₃×C₄×D₄	C₂²	semidirect
63. C₂×C₃×C₄×D₄	C₂²	semidirect
64. C₂×C₃×C₄×D₄	C₂²	semidirect
69. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
73. C₃×#399	C₂²	semidirect
74. C₃×#398	C₂²	semidirect
75. C₃×#397	C₂²	semidirect
76. C₃×#396	C₂²	semidirect
77. C₃×#396	C₂²	semidirect
78. C₃×#396	C₂²	semidirect
79. C₃×#395	C₂²	semidirect
82. C₃×#394	C₂²	semidirect
83. C₃×#394	C₂²	semidirect
84. C₃×#394	C₂²	semidirect
85. C₃×#394	C₂²	semidirect
86. C₃×#394	C₂²	semidirect
87. C₃×#393	C₂²	semidirect
90. C₃×#392	C₂²	semidirect
91. C₃×#392	C₂²	semidirect
92. C₃×#392	C₂²	semidirect
93. C₃×#390	C₂²	semidirect
94. C₃×#390	C₂²	semidirect
95. C₃×#390	C₂²	semidirect
96. C₃×#390	C₂²	semidirect
97. C₃×#389	C₂²	semidirect
98. C₃×#389	C₂²	semidirect
99. C₃×#388	C₂²	semidirect
100. C₃×#388	C₂²	semidirect
101. C₃×#388	C₂²	semidirect
102. C₃×#388	C₂²	semidirect
103. C₃×#388	C₂²	semidirect
104. C₃×#387	C₂²	semidirect
105. C₃×#387	C₂²	semidirect
109. C₃×#386	C₂²	semidirect
110. C₃×#386	C₂²	semidirect
111. C₃×#386	C₂²	semidirect
112. C₃×#386	C₂²	semidirect
113. C₃×#386	C₂²	semidirect
114. C₃×#386	C₂²	semidirect
116. C₃×#385	C₂²	semidirect
117. C₃×#385	C₂²	semidirect
118. C₃×#385	C₂²	semidirect
119. C₃×#385	C₂²	semidirect
126. C₃×C₄×C₄⋊C₄	C₂²	semidirect
128. C₂×#547	C₂×C₃	semidirect
129. C₂×#535	C₂×C₃	semidirect
130. C₂×#525	C₂×C₃	semidirect
131. C₂²×#123	C₂×C₃	semidirect
132. #2849	C₂×C₃	semidirect
133. #2682	C₂×C₃	semidirect
134. #2681	C₂×C₃	semidirect
135. #2674	C₂×C₃	semidirect
136. #2673	C₂×C₃	semidirect
137. #2617	C₂×C₃	semidirect
138. #2613	C₂×C₃	semidirect
139. #2539	C₂×C₃	semidirect
140. #2534	C₂×C₃	semidirect
141. #2461	C₂×C₃	semidirect
142. #2456	C₂×C₃	semidirect
143. #2445	C₂×C₃	semidirect
144. #2443	C₂×C₃	semidirect
145. #2413	C₂×C₃	semidirect
146. #2411	C₂×C₃	semidirect
147. #2406	C₂×C₃	semidirect
148. #2404	C₂×C₃	semidirect
149. #2344	C₂×C₃	semidirect
150. #2321	C₂×C₃	semidirect
220. C₃×#120	D₄	semidirect
229. C₂×C₃×C₄⋊C₄	D₄	semidirect
308. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
322. C₂×#123	C₂²×C₃	semidirect
323. C₂×#123	C₂²×C₃	semidirect
324. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
325. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
326. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
330. C₂×#121	C₂²×C₃	semidirect
331. C₂×#121	C₂²×C₃	semidirect
339. C₂×C₄×D₄	C₂²×C₃	semidirect
340. C₂×C₄×D₄	C₂²×C₃	semidirect
341. C₂×C₄×D₄	C₂²×C₃	semidirect
346. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
350. #399	C₂²×C₃	semidirect
351. #398	C₂²×C₃	semidirect
352. #397	C₂²×C₃	semidirect
353. #396	C₂²×C₃	semidirect
354. #396	C₂²×C₃	semidirect
355. #396	C₂²×C₃	semidirect
356. #395	C₂²×C₃	semidirect
359. #394	C₂²×C₃	semidirect
360. #394	C₂²×C₃	semidirect
361. #394	C₂²×C₃	semidirect
362. #394	C₂²×C₃	semidirect
363. #394	C₂²×C₃	semidirect
364. #393	C₂²×C₃	semidirect
367. #392	C₂²×C₃	semidirect
368. #392	C₂²×C₃	semidirect
369. #392	C₂²×C₃	semidirect
370. #390	C₂²×C₃	semidirect
371. #390	C₂²×C₃	semidirect
372. #390	C₂²×C₃	semidirect
373. #390	C₂²×C₃	semidirect
374. #389	C₂²×C₃	semidirect
375. #389	C₂²×C₃	semidirect
376. #388	C₂²×C₃	semidirect
377. #388	C₂²×C₃	semidirect
378. #388	C₂²×C₃	semidirect
379. #388	C₂²×C₃	semidirect
380. #388	C₂²×C₃	semidirect
381. #387	C₂²×C₃	semidirect
382. #387	C₂²×C₃	semidirect
386. #386	C₂²×C₃	semidirect
387. #386	C₂²×C₃	semidirect
388. #386	C₂²×C₃	semidirect
389. #386	C₂²×C₃	semidirect
390. #386	C₂²×C₃	semidirect
391. #386	C₂²×C₃	semidirect
393. #385	C₂²×C₃	semidirect
394. #385	C₂²×C₃	semidirect
395. #385	C₂²×C₃	semidirect
396. #385	C₂²×C₃	semidirect
403. C₄×C₄⋊C₄	C₂²×C₃	semidirect
648. #120	C₃×D₄	semidirect
657. C₂×C₄⋊C₄	C₃×D₄	semidirect
1271. C₃	#37655	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×#547	2
C₂×C₃×#535	2
C₂×C₃×#525	2
C₂²×C₃×#123	2
C₃×#2849	2
C₃×#2682	2
C₃×#2681	2
C₃×#2674	2
C₃×#2673	2
C₃×#2617	2
C₃×#2613	2
C₃×#2539	2
C₃×#2534	2
C₃×#2461	2
C₃×#2456	2
C₃×#2445	2
C₃×#2443	2
C₃×#2413	2
C₃×#2411	2
C₃×#2406	2
C₃×#2404	2
C₃×#2344	2
C₃×#2321	2
#37655	3

Subgroups — C3×#37655 #10656262

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#37655 #10656262