Subgroups — C₃×#37114 #10655721

Order 768.

1714 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2865	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#2860	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2800	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2800	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2797	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2788	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2773	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2754	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#2753	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2752	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2741	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2736	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2723	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2715	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2700	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2685	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2685	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2670	C₂	1	1	yes	maximal, characteristic
19	C₃×#2663	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2648	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2560	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2554	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2480	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#2469	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#2466	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#2463	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#2448	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#2418	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#2334	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#2321	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×C₄×#124	C₂	1	1	yes	maximal, characteristic, complemented
32	#37114	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₂×C₃×#126	C₂²	1	1	yes	characteristic
34	C₂×C₃×#126	C₂²	1	1	yes	characteristic
35	C₂×C₃×#126	C₂²	1	1	yes	characteristic
36	C₂×C₃×#126	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃×#124	C₂²	1	1	yes	characteristic
38	C₂×C₃×#124	C₂²	1	1	yes	characteristic
39	C₂×C₃×#123	C₂²	1	1	yes	characteristic
40	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₃×#120	C₂²	1	1	yes	characteristic
43	C₂×C₃×#120	C₂²	1	1	yes	characteristic
44	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
46	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
47	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
48	C₃×#400	C₂²	1	1	yes	characteristic, complemented
49	C₃×#400	C₂²	1	1	yes	characteristic, complemented
50	C₃×#400	C₂²	1	1	yes	characteristic, complemented
51	C₃×#399	C₂²	1	1	yes	characteristic
52	C₃×#399	C₂²	1	1	yes	characteristic
53	C₃×#399	C₂²	1	1	yes	characteristic
54	C₃×#399	C₂²	1	1	yes	characteristic, complemented
55	C₃×#398	C₂²	1	1	yes	characteristic, complemented
56	C₃×#398	C₂²	1	1	yes	characteristic, complemented
57	C₃×#397	C₂²	1	1	yes	characteristic
58	C₃×#397	C₂²	1	1	yes	characteristic
59	C₃×#397	C₂²	1	1	yes	characteristic
60	C₃×#397	C₂²	1	1	yes	characteristic
61	C₃×#397	C₂²	1	1	yes	characteristic
62	C₃×#397	C₂²	1	1	yes	characteristic
63	C₃×#397	C₂²	1	1	yes	characteristic
64	C₃×#397	C₂²	1	1	yes	characteristic, complemented
65	C₃×#397	C₂²	1	1	yes	characteristic, complemented
66	C₃×#397	C₂²	1	1	yes	characteristic, complemented
67	C₃×#397	C₂²	1	1	yes	characteristic, complemented
68	C₃×#397	C₂²	1	1	yes	characteristic, complemented
69	C₃×#396	C₂²	1	1	yes	characteristic
70	C₃×#396	C₂²	1	1	yes	characteristic
71	C₃×#396	C₂²	1	1	yes	characteristic
72	C₃×#396	C₂²	1	1	yes	characteristic, complemented
73	C₃×#396	C₂²	1	1	yes	characteristic, complemented
74	C₃×#395	C₂²	1	1	yes	characteristic, complemented
75	C₃×#395	C₂²	1	1	yes	characteristic, complemented
76	C₃×#394	C₂²	1	1	yes	characteristic
77	C₃×#394	C₂²	1	1	yes	characteristic
78	C₃×#394	C₂²	1	1	yes	characteristic
79	C₃×#394	C₂²	1	1	yes	characteristic
80	C₃×#394	C₂²	1	1	yes	characteristic
81	C₃×#394	C₂²	1	1	yes	characteristic
82	C₃×#394	C₂²	1	1	yes	characteristic
83	C₃×#394	C₂²	1	1	yes	characteristic
84	C₃×#394	C₂²	1	1	yes	characteristic
85	C₃×#394	C₂²	1	1	yes	characteristic
86	C₃×#394	C₂²	1	1	yes	characteristic
87	C₃×#394	C₂²	1	1	yes	characteristic
88	C₃×#394	C₂²	1	1	yes	characteristic, complemented
89	C₃×#393	C₂²	1	1	yes	characteristic
90	C₃×#393	C₂²	1	1	yes	characteristic
91	C₃×#393	C₂²	1	1	yes	characteristic
92	C₃×#393	C₂²	1	1	yes	characteristic
93	C₃×#392	C₂²	1	1	yes	characteristic
94	C₃×#392	C₂²	1	1	yes	characteristic
95	C₃×#392	C₂²	1	1	yes	characteristic
96	C₃×#391	C₂²	1	1	yes	characteristic, complemented
97	C₃×#391	C₂²	1	1	yes	characteristic, complemented
98	C₃×#391	C₂²	1	1	yes	characteristic, complemented
99	C₃×#390	C₂²	1	1	yes	characteristic
100	C₃×#390	C₂²	1	1	yes	characteristic
101	C₃×#390	C₂²	1	1	yes	characteristic
102	C₃×#390	C₂²	1	1	yes	characteristic
103	C₃×#390	C₂²	1	1	yes	characteristic
104	C₃×#390	C₂²	1	1	yes	characteristic
105	C₃×#390	C₂²	1	1	yes	characteristic
106	C₃×#390	C₂²	1	1	yes	characteristic
107	C₃×#390	C₂²	1	1	yes	characteristic, complemented
108	C₃×#389	C₂²	1	1	yes	characteristic, complemented
109	C₃×#389	C₂²	1	1	yes	characteristic, complemented
110	C₃×#389	C₂²	1	1	yes	characteristic, complemented
111	C₃×#389	C₂²	1	1	yes	characteristic, complemented
112	C₃×#389	C₂²	1	1	yes	characteristic, complemented
113	C₃×#389	C₂²	1	1	yes	characteristic, complemented
114	C₃×#389	C₂²	1	1	yes	characteristic, complemented
115	C₃×#388	C₂²	1	1	yes	characteristic
116	C₃×#388	C₂²	1	1	yes	characteristic
117	C₃×#388	C₂²	1	1	yes	characteristic
118	C₃×#388	C₂²	1	1	yes	characteristic
119	C₃×#388	C₂²	1	1	yes	characteristic
120	C₃×#388	C₂²	1	1	yes	characteristic
121	C₃×#388	C₂²	1	1	yes	characteristic
122	C₃×#388	C₂²	1	1	yes	characteristic
123	C₃×#388	C₂²	1	1	yes	characteristic
124	C₃×#388	C₂²	1	1	yes	characteristic
125	C₃×#388	C₂²	1	1	yes	characteristic
126	C₃×#388	C₂²	1	1	yes	characteristic
127	C₃×#388	C₂²	1	1	yes	characteristic
128	C₃×#388	C₂²	1	1	yes	characteristic
129	C₃×#388	C₂²	1	1	yes	characteristic
130	C₃×#388	C₂²	1	1	yes	characteristic
131	C₃×#388	C₂²	1	1	yes	characteristic
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, complemented
139	C₃×#388	C₂²	1	1	yes	characteristic, complemented
140	C₃×#388	C₂²	1	1	yes	characteristic, complemented
141	C₃×#388	C₂²	1	1	yes	characteristic, complemented
142	C₃×#388	C₂²	1	1	yes	characteristic, complemented
143	C₃×#388	C₂²	1	1	yes	characteristic, complemented
144	C₃×#388	C₂²	1	1	yes	characteristic, complemented
145	C₃×#388	C₂²	1	1	yes	characteristic, complemented
146	C₃×#388	C₂²	1	1	yes	characteristic, complemented
147	C₃×#387	C₂²	1	1	yes	characteristic, complemented
148	C₃×#387	C₂²	1	1	yes	characteristic, complemented
149	C₃×#387	C₂²	1	1	yes	characteristic, complemented
150	C₃×#387	C₂²	1	1	yes	characteristic, complemented
151	C₃×#387	C₂²	1	1	yes	characteristic, complemented
152	C₃×#387	C₂²	1	1	yes	characteristic, complemented
153	C₃×#387	C₂²	1	1	yes	characteristic, complemented
154	C₃×#387	C₂²	1	1	yes	characteristic, complemented
155	C₃×#387	C₂²	1	1	yes	characteristic, complemented
156	C₃×#387	C₂²	1	1	yes	characteristic, complemented
157	C₃×#387	C₂²	1	1	yes	characteristic, complemented
158	C₃×#387	C₂²	1	1	yes	characteristic, complemented
159	C₃×#387	C₂²	1	1	yes	characteristic, complemented
160	C₃×#386	C₂²	1	1	yes	characteristic
161	C₃×#386	C₂²	1	1	yes	characteristic
162	C₃×#386	C₂²	1	1	yes	characteristic
163	C₃×#386	C₂²	1	1	yes	characteristic
164	C₃×#386	C₂²	1	1	yes	characteristic
165	C₃×#386	C₂²	1	1	yes	characteristic, complemented
166	C₃×#386	C₂²	1	1	yes	characteristic, complemented
167	C₃×#385	C₂²	1	1	yes	characteristic
168	C₃×#385	C₂²	1	1	yes	characteristic
169	C₃×#385	C₂²	1	1	yes	characteristic
170	C₃×#385	C₂²	1	1	yes	characteristic
171	C₃×#385	C₂²	1	1	yes	characteristic, complemented
172	C₃×#382	C₂²	1	1	yes	characteristic, complemented
173	C₃×#382	C₂²	1	1	yes	characteristic, complemented
174	C₃×#381	C₂²	1	1	yes	characteristic, complemented
175	C₃×#380	C₂²	1	1	yes	characteristic
176	C₃×#380	C₂²	1	1	yes	characteristic
177	C₃×#379	C₂²	1	1	yes	characteristic
178	C₃×#379	C₂²	1	1	yes	characteristic
179	C₃×#379	C₂²	1	1	yes	characteristic
180	C₃×#379	C₂²	1	1	yes	characteristic
181	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
184	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
185	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	C₃×C₄³	C₂²	1	1	yes	characteristic, complemented
188	#2865	C₂×C₃	1	1	yes	characteristic, complemented
189	#2860	C₂×C₃	1	1	yes	characteristic, complemented
190	#2800	C₂×C₃	1	1	yes	characteristic, complemented
191	#2800	C₂×C₃	1	1	yes	characteristic, complemented
192	#2797	C₂×C₃	1	1	yes	characteristic, complemented
193	#2788	C₂×C₃	1	1	yes	characteristic, complemented
194	#2773	C₂×C₃	1	1	yes	characteristic, complemented
195	#2754	C₂×C₃	1	1	yes	characteristic, complemented
196	#2753	C₂×C₃	1	1	yes	characteristic, complemented
197	#2752	C₂×C₃	1	1	yes	characteristic, complemented
198	#2741	C₂×C₃	1	1	yes	characteristic, complemented
199	#2736	C₂×C₃	1	1	yes	characteristic, complemented
200	#2723	C₂×C₃	1	1	yes	characteristic, complemented
201	#2715	C₂×C₃	1	1	yes	characteristic, complemented
202	#2700	C₂×C₃	1	1	yes	characteristic, complemented
203	#2685	C₂×C₃	1	1	yes	characteristic, complemented
204	#2685	C₂×C₃	1	1	yes	characteristic, complemented
205	#2670	C₂×C₃	1	1	yes	characteristic
206	#2663	C₂×C₃	1	1	yes	characteristic, complemented
207	#2648	C₂×C₃	1	1	yes	characteristic, complemented
208	#2560	C₂×C₃	1	1	yes	characteristic, complemented
209	#2554	C₂×C₃	1	1	yes	characteristic, complemented
210	#2480	C₂×C₃	1	1	yes	characteristic, complemented
211	#2469	C₂×C₃	1	1	yes	characteristic, complemented
212	#2466	C₂×C₃	1	1	yes	characteristic, complemented
213	#2463	C₂×C₃	1	1	yes	characteristic, complemented
214	#2448	C₂×C₃	1	1	yes	characteristic, complemented
215	#2418	C₂×C₃	1	1	yes	characteristic, complemented
216	#2334	C₂×C₃	1	1	yes	characteristic, complemented
217	#2321	C₂×C₃	1	1	yes	characteristic, complemented
218	C₄×#124	C₂×C₃	1	1	yes	characteristic, complemented
219	C₂⁵×C₃	C₂³	1	1	yes	characteristic
220	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
221	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
222	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
223	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
224	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
225	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
226	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
227	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
228	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
229	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
230	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
231	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
232	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
233	C₃×#126	—	2	4	no	—
234	C₃×#126	—	4	2	no	—
235	C₃×#126	—	4	2	no	—
236	C₃×#126	—	4	2	no	—
237	C₃×#124	—	2	4	no	—
238	C₃×#124	—	4	2	no	—
239	C₃×#123	—	4	2	no	—
240	C₃×C₂²⋊Q₈	—	4	2	no	—
241	C₃×C₂²⋊Q₈	—	4	2	no	—
242	C₃×#120	—	2	4	no	—
243	C₃×#120	—	4	2	no	—
244	C₃×C₄×Q₈	—	4	2	no	—
245	C₃×C₄×D₄	—	4	2	no	—
246	C₃×C₄×D₄	—	4	2	no	—
247	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₃×C₂²⋊C₄	—	4	2	no	—
279	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
334	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
335	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
336	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
337	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
338	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
339	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
340	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
341	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
342	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
343	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
344	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
345	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
346	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
347	C₃×#95	C₂³	1	1	yes	characteristic
348	C₃×#95	C₂³	1	1	yes	characteristic
349	C₃×#95	C₂³	1	1	yes	characteristic
350	C₃×#95	C₂³	1	1	yes	characteristic
351	C₃×#95	C₂³	1	1	yes	characteristic
352	C₃×#95	C₂³	1	1	yes	characteristic
353	C₃×#95	C₂³	1	1	yes	characteristic
354	C₃×#95	C₂³	1	1	yes	characteristic
355	C₃×#95	C₂³	1	1	yes	characteristic
356	C₃×#95	C₂³	1	1	yes	characteristic
357	C₃×#95	C₂³	1	1	yes	characteristic
358	C₃×#95	C₂³	1	1	yes	characteristic
359	C₃×#95	C₂³	1	1	yes	characteristic
360	C₃×#95	C₂³	1	1	yes	characteristic
361	C₃×#95	C₂³	1	1	yes	characteristic
362	C₃×#95	C₂³	1	1	yes	characteristic
363	C₃×#95	C₂³	1	1	yes	characteristic
364	C₃×#95	C₂³	1	1	yes	characteristic
365	C₃×#95	C₂³	1	1	yes	characteristic
366	C₃×#95	C₂³	1	1	yes	characteristic
367	C₃×#95	C₂³	1	1	yes	characteristic
368	C₃×#95	C₂³	1	1	yes	characteristic
369	C₃×#95	C₂³	1	1	yes	characteristic
370	C₃×#95	C₂³	1	1	yes	characteristic
371	C₃×#95	C₂³	1	1	yes	characteristic
372	C₃×#95	C₂³	1	1	yes	characteristic
373	C₃×#95	C₂³	1	1	yes	characteristic
374	C₃×#95	C₂³	1	1	yes	characteristic
375	C₃×#95	C₂³	1	1	yes	characteristic
376	C₃×#95	C₂³	1	1	yes	characteristic
377	C₃×#95	C₂³	1	1	yes	characteristic
378	C₃×#95	C₂³	1	1	yes	characteristic
379	C₃×#95	C₂³	1	1	yes	characteristic
380	C₃×#95	C₂³	1	1	yes	characteristic
381	C₃×#95	C₂³	1	1	yes	characteristic
382	C₃×#95	C₂³	1	1	yes	characteristic
383	C₃×#95	C₂³	1	1	yes	characteristic
384	C₃×#95	C₂³	1	1	yes	characteristic
385	C₃×#95	C₂³	1	1	yes	characteristic
386	C₃×#95	C₂³	1	1	yes	characteristic
387	C₃×#95	C₂³	1	1	yes	characteristic
388	C₃×#95	C₂³	1	1	yes	characteristic
389	C₂×#126	C₂²×C₃	1	1	yes	characteristic
390	C₂×#126	C₂²×C₃	1	1	yes	characteristic
391	C₂×#126	C₂²×C₃	1	1	yes	characteristic
392	C₂×#126	C₂²×C₃	1	1	yes	characteristic, complemented
393	C₂×#124	C₂²×C₃	1	1	yes	characteristic
394	C₂×#124	C₂²×C₃	1	1	yes	characteristic
395	C₂×#123	C₂²×C₃	1	1	yes	characteristic
396	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
397	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
398	C₂×#120	C₂²×C₃	1	1	yes	characteristic
399	C₂×#120	C₂²×C₃	1	1	yes	characteristic
400	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
401	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
402	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
403	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
404	#400	C₂²×C₃	1	1	yes	characteristic, complemented
405	#400	C₂²×C₃	1	1	yes	characteristic, complemented
406	#400	C₂²×C₃	1	1	yes	characteristic, complemented
407	#399	C₂²×C₃	1	1	yes	characteristic
408	#399	C₂²×C₃	1	1	yes	characteristic
409	#399	C₂²×C₃	1	1	yes	characteristic
410	#399	C₂²×C₃	1	1	yes	characteristic, complemented
411	#398	C₂²×C₃	1	1	yes	characteristic, complemented
412	#398	C₂²×C₃	1	1	yes	characteristic, complemented
413	#397	C₂²×C₃	1	1	yes	characteristic
414	#397	C₂²×C₃	1	1	yes	characteristic
415	#397	C₂²×C₃	1	1	yes	characteristic
416	#397	C₂²×C₃	1	1	yes	characteristic
417	#397	C₂²×C₃	1	1	yes	characteristic
418	#397	C₂²×C₃	1	1	yes	characteristic
419	#397	C₂²×C₃	1	1	yes	characteristic
420	#397	C₂²×C₃	1	1	yes	characteristic, complemented
421	#397	C₂²×C₃	1	1	yes	characteristic, complemented
422	#397	C₂²×C₃	1	1	yes	characteristic, complemented
423	#397	C₂²×C₃	1	1	yes	characteristic, complemented
424	#397	C₂²×C₃	1	1	yes	characteristic, complemented
425	#396	C₂²×C₃	1	1	yes	characteristic
426	#396	C₂²×C₃	1	1	yes	characteristic
427	#396	C₂²×C₃	1	1	yes	characteristic
428	#396	C₂²×C₃	1	1	yes	characteristic, complemented
429	#396	C₂²×C₃	1	1	yes	characteristic, complemented
430	#395	C₂²×C₃	1	1	yes	characteristic, complemented
431	#395	C₂²×C₃	1	1	yes	characteristic, complemented
432	#394	C₂²×C₃	1	1	yes	characteristic
433	#394	C₂²×C₃	1	1	yes	characteristic
434	#394	C₂²×C₃	1	1	yes	characteristic
435	#394	C₂²×C₃	1	1	yes	characteristic
436	#394	C₂²×C₃	1	1	yes	characteristic
437	#394	C₂²×C₃	1	1	yes	characteristic
438	#394	C₂²×C₃	1	1	yes	characteristic
439	#394	C₂²×C₃	1	1	yes	characteristic
440	#394	C₂²×C₃	1	1	yes	characteristic
441	#394	C₂²×C₃	1	1	yes	characteristic
442	#394	C₂²×C₃	1	1	yes	characteristic
443	#394	C₂²×C₃	1	1	yes	characteristic
444	#394	C₂²×C₃	1	1	yes	characteristic, complemented
445	#393	C₂²×C₃	1	1	yes	characteristic
446	#393	C₂²×C₃	1	1	yes	characteristic
447	#393	C₂²×C₃	1	1	yes	characteristic
448	#393	C₂²×C₃	1	1	yes	characteristic
449	#392	C₂²×C₃	1	1	yes	characteristic
450	#392	C₂²×C₃	1	1	yes	characteristic
451	#392	C₂²×C₃	1	1	yes	characteristic
452	#391	C₂²×C₃	1	1	yes	characteristic, complemented
453	#391	C₂²×C₃	1	1	yes	characteristic, complemented
454	#391	C₂²×C₃	1	1	yes	characteristic, complemented
455	#390	C₂²×C₃	1	1	yes	characteristic
456	#390	C₂²×C₃	1	1	yes	characteristic
457	#390	C₂²×C₃	1	1	yes	characteristic
458	#390	C₂²×C₃	1	1	yes	characteristic
459	#390	C₂²×C₃	1	1	yes	characteristic
460	#390	C₂²×C₃	1	1	yes	characteristic
461	#390	C₂²×C₃	1	1	yes	characteristic
462	#390	C₂²×C₃	1	1	yes	characteristic
463	#390	C₂²×C₃	1	1	yes	characteristic, complemented
464	#389	C₂²×C₃	1	1	yes	characteristic, complemented
465	#389	C₂²×C₃	1	1	yes	characteristic, complemented
466	#389	C₂²×C₃	1	1	yes	characteristic, complemented
467	#389	C₂²×C₃	1	1	yes	characteristic, complemented
468	#389	C₂²×C₃	1	1	yes	characteristic, complemented
469	#389	C₂²×C₃	1	1	yes	characteristic, complemented
470	#389	C₂²×C₃	1	1	yes	characteristic, complemented
471	#388	C₂²×C₃	1	1	yes	characteristic
472	#388	C₂²×C₃	1	1	yes	characteristic
473	#388	C₂²×C₃	1	1	yes	characteristic
474	#388	C₂²×C₃	1	1	yes	characteristic
475	#388	C₂²×C₃	1	1	yes	characteristic
476	#388	C₂²×C₃	1	1	yes	characteristic
477	#388	C₂²×C₃	1	1	yes	characteristic
478	#388	C₂²×C₃	1	1	yes	characteristic
479	#388	C₂²×C₃	1	1	yes	characteristic
480	#388	C₂²×C₃	1	1	yes	characteristic
481	#388	C₂²×C₃	1	1	yes	characteristic
482	#388	C₂²×C₃	1	1	yes	characteristic
483	#388	C₂²×C₃	1	1	yes	characteristic
484	#388	C₂²×C₃	1	1	yes	characteristic
485	#388	C₂²×C₃	1	1	yes	characteristic
486	#388	C₂²×C₃	1	1	yes	characteristic
487	#388	C₂²×C₃	1	1	yes	characteristic
488	#388	C₂²×C₃	1	1	yes	characteristic
489	#388	C₂²×C₃	1	1	yes	characteristic
490	#388	C₂²×C₃	1	1	yes	characteristic
491	#388	C₂²×C₃	1	1	yes	characteristic
492	#388	C₂²×C₃	1	1	yes	characteristic
493	#388	C₂²×C₃	1	1	yes	characteristic
494	#388	C₂²×C₃	1	1	yes	characteristic, complemented
495	#388	C₂²×C₃	1	1	yes	characteristic, complemented
496	#388	C₂²×C₃	1	1	yes	characteristic, complemented
497	#388	C₂²×C₃	1	1	yes	characteristic, complemented
498	#388	C₂²×C₃	1	1	yes	characteristic, complemented
499	#388	C₂²×C₃	1	1	yes	characteristic, complemented
500	#388	C₂²×C₃	1	1	yes	characteristic, complemented
501	#388	C₂²×C₃	1	1	yes	characteristic, complemented
502	#388	C₂²×C₃	1	1	yes	characteristic, complemented
503	#387	C₂²×C₃	1	1	yes	characteristic, complemented
504	#387	C₂²×C₃	1	1	yes	characteristic, complemented
505	#387	C₂²×C₃	1	1	yes	characteristic, complemented
506	#387	C₂²×C₃	1	1	yes	characteristic, complemented
507	#387	C₂²×C₃	1	1	yes	characteristic, complemented
508	#387	C₂²×C₃	1	1	yes	characteristic, complemented
509	#387	C₂²×C₃	1	1	yes	characteristic, complemented
510	#387	C₂²×C₃	1	1	yes	characteristic, complemented
511	#387	C₂²×C₃	1	1	yes	characteristic, complemented
512	#387	C₂²×C₃	1	1	yes	characteristic, complemented
513	#387	C₂²×C₃	1	1	yes	characteristic, complemented
514	#387	C₂²×C₃	1	1	yes	characteristic, complemented
515	#387	C₂²×C₃	1	1	yes	characteristic, complemented
516	#386	C₂²×C₃	1	1	yes	characteristic
517	#386	C₂²×C₃	1	1	yes	characteristic
518	#386	C₂²×C₃	1	1	yes	characteristic
519	#386	C₂²×C₃	1	1	yes	characteristic
520	#386	C₂²×C₃	1	1	yes	characteristic
521	#386	C₂²×C₃	1	1	yes	characteristic, complemented
522	#386	C₂²×C₃	1	1	yes	characteristic, complemented
523	#385	C₂²×C₃	1	1	yes	characteristic
524	#385	C₂²×C₃	1	1	yes	characteristic
525	#385	C₂²×C₃	1	1	yes	characteristic
526	#385	C₂²×C₃	1	1	yes	characteristic
527	#385	C₂²×C₃	1	1	yes	characteristic, complemented
528	#382	C₂²×C₃	1	1	yes	characteristic, complemented
529	#382	C₂²×C₃	1	1	yes	characteristic, complemented
530	#381	C₂²×C₃	1	1	yes	characteristic, complemented
531	#380	C₂²×C₃	1	1	yes	characteristic
532	#380	C₂²×C₃	1	1	yes	characteristic
533	#379	C₂²×C₃	1	1	yes	characteristic
534	#379	C₂²×C₃	1	1	yes	characteristic
535	#379	C₂²×C₃	1	1	yes	characteristic
536	#379	C₂²×C₃	1	1	yes	characteristic
537	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
538	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
539	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
540	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
541	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
542	C₄×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
543	C₄³	C₂²×C₃	1	1	yes	characteristic, complemented
544	C₂⁴×C₃	—	2	2	no	—
545	C₂⁴×C₃	—	4	1	no	—
546	C₂⁴×C₃	—	4	1	no	—
547	C₂⁴×C₃	—	4	1	no	—
548	C₂⁴×C₃	—	4	1	no	—
549	C₂⁴×C₃	—	4	1	no	—
550	C₂⁴×C₃	—	4	1	no	—
551	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
552	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
553	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
554	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
555	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
556	C₂×C₃×Q₈	—	2	2	no	—
557	C₂×C₃×Q₈	—	2	2	no	—
558	C₂×C₃×Q₈	—	4	1	no	—
559	C₂×C₃×Q₈	—	4	1	no	—
560	C₂×C₃×Q₈	—	4	1	no	—
561	C₂×C₃×Q₈	—	4	1	no	—
562	C₂×C₃×D₄	—	2	2	no	—
563	C₂×C₃×D₄	—	2	2	no	—
564	C₂×C₃×D₄	—	2	2	no	—
565	C₂×C₃×D₄	—	2	2	no	—
566	C₂×C₃×D₄	—	2	2	no	—
567	C₂×C₃×D₄	—	4	1	no	—
568	C₂×C₃×D₄	—	4	1	no	—
569	C₂×C₃×D₄	—	4	1	no	—
570	C₂×C₃×D₄	—	4	1	no	—
571	C₂×C₃×D₄	—	4	1	no	—
572	C₂×C₃×D₄	—	4	1	no	—
573	C₂×C₃×D₄	—	4	1	no	—
574	C₂×C₃×D₄	—	4	1	no	—
575	C₂×C₃×D₄	—	4	1	no	—
576	C₂×C₃×D₄	—	4	1	no	—
577	C₂×C₃×D₄	—	4	1	no	—
578	C₂×C₃×D₄	—	4	1	no	—
579	C₂×C₃×D₄	—	4	1	no	—
580	C₂×C₃×D₄	—	4	1	no	—
581	C₂×C₃×D₄	—	4	1	no	—
582	C₂×C₃×D₄	—	4	1	no	—
583	C₂²×C₃×C₄	—	2	2	no	—
584	C₂²×C₃×C₄	—	2	2	no	—
585	C₂²×C₃×C₄	—	4	1	no	—
586	C₂²×C₃×C₄	—	4	1	no	—
587	C₂²×C₃×C₄	—	4	1	no	—
588	C₂²×C₃×C₄	—	4	1	no	—
589	C₂²×C₃×C₄	—	4	1	no	—
590	C₂²×C₃×C₄	—	4	1	no	—
591	C₂²×C₃×C₄	—	4	1	no	—
592	C₂²×C₃×C₄	—	4	1	no	—
593	C₂²×C₃×C₄	—	4	1	no	—
594	C₂²×C₃×C₄	—	4	1	no	—
595	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
596	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
597	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
598	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
599	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
600	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
601	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
602	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
603	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
604	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
605	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
606	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
607	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
608	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
609	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
610	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
611	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
612	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
613	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
614	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
615	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
616	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
617	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
618	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
619	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
620	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
621	C₃×C₄⋊C₄	—	2	2	no	—
622	C₃×C₄⋊C₄	—	2	2	no	—
623	C₃×C₄⋊C₄	—	2	2	no	—
624	C₃×C₄⋊C₄	—	2	2	no	—
625	C₃×C₄⋊C₄	—	2	2	no	—
626	C₃×C₄⋊C₄	—	2	2	no	—
627	C₃×C₄⋊C₄	—	2	2	no	—
628	C₃×C₄⋊C₄	—	2	2	no	—
629	C₃×C₄⋊C₄	—	2	2	no	—
630	C₃×C₄⋊C₄	—	4	1	no	—
631	C₃×C₄⋊C₄	—	4	1	no	—
632	C₃×C₄⋊C₄	—	4	1	no	—
633	C₃×C₄⋊C₄	—	4	1	no	—
634	C₃×C₄⋊C₄	—	4	1	no	—
635	C₃×C₄⋊C₄	—	4	1	no	—
636	C₃×C₄⋊C₄	—	4	1	no	—
637	C₃×C₄⋊C₄	—	4	1	no	—
638	C₃×C₄⋊C₄	—	4	1	no	—
639	C₃×C₄⋊C₄	—	4	1	no	—
640	C₃×C₄⋊C₄	—	4	1	no	—
641	C₃×C₄⋊C₄	—	4	1	no	—
642	C₃×C₄⋊C₄	—	4	1	no	—
643	C₃×C₄⋊C₄	—	4	1	no	—
644	C₃×C₄⋊C₄	—	4	1	no	—
645	C₃×C₄⋊C₄	—	4	1	no	—
646	C₃×C₄⋊C₄	—	4	1	no	—
647	C₃×C₄⋊C₄	—	4	1	no	—
648	C₃×C₄⋊C₄	—	4	1	no	—
649	C₃×C₄⋊C₄	—	4	1	no	—
650	C₃×C₄⋊C₄	—	4	1	no	—
651	C₃×C₄⋊C₄	—	4	1	no	—
652	C₃×C₂²⋊C₄	—	2	2	no	—
653	C₃×C₂²⋊C₄	—	2	2	no	—
654	C₃×C₂²⋊C₄	—	2	2	no	—
655	C₃×C₂²⋊C₄	—	2	2	no	—
656	C₃×C₂²⋊C₄	—	2	2	no	—
657	C₃×C₂²⋊C₄	—	2	2	no	—
658	C₃×C₂²⋊C₄	—	2	2	no	—
659	C₃×C₂²⋊C₄	—	2	2	no	—
660	C₃×C₂²⋊C₄	—	2	2	no	—
661	C₃×C₂²⋊C₄	—	2	2	no	—
662	C₃×C₂²⋊C₄	—	2	2	no	—
663	C₃×C₂²⋊C₄	—	2	2	no	—
664	C₃×C₂²⋊C₄	—	2	2	no	—
665	C₃×C₂²⋊C₄	—	4	1	no	—
666	C₃×C₂²⋊C₄	—	4	1	no	—
667	C₃×C₂²⋊C₄	—	4	1	no	—
668	C₃×C₂²⋊C₄	—	4	1	no	—
669	C₃×C₂²⋊C₄	—	4	1	no	—
670	C₃×C₂²⋊C₄	—	4	1	no	—
671	C₃×C₂²⋊C₄	—	4	1	no	—
672	C₃×C₂²⋊C₄	—	4	1	no	—
673	C₃×C₂²⋊C₄	—	4	1	no	—
674	C₃×C₂²⋊C₄	—	4	1	no	—
675	C₃×C₂²⋊C₄	—	4	1	no	—
676	C₃×C₂²⋊C₄	—	4	1	no	—
677	C₃×C₂²⋊C₄	—	4	1	no	—
678	C₃×C₂²⋊C₄	—	4	1	no	—
679	C₃×C₂²⋊C₄	—	4	1	no	—
680	C₃×C₂²⋊C₄	—	4	1	no	—
681	C₃×C₂²⋊C₄	—	4	1	no	—
682	C₃×C₂²⋊C₄	—	4	1	no	—
683	C₃×C₂²⋊C₄	—	4	1	no	—
684	C₃×C₂²⋊C₄	—	4	1	no	—
685	C₃×C₂²⋊C₄	—	4	1	no	—
686	C₃×C₂²⋊C₄	—	4	1	no	—
687	C₃×C₂²⋊C₄	—	4	1	no	—
688	C₃×C₂²⋊C₄	—	4	1	no	—
689	C₃×C₂²⋊C₄	—	4	1	no	—
690	C₃×C₂²⋊C₄	—	4	1	no	—
691	C₃×C₂²⋊C₄	—	4	1	no	—
692	C₃×C₂²⋊C₄	—	4	1	no	—
693	C₃×C₂²⋊C₄	—	4	1	no	—
694	C₃×C₂²⋊C₄	—	4	1	no	—
695	C₃×C₂²⋊C₄	—	4	1	no	—
696	C₃×C₂²⋊C₄	—	4	1	no	—
697	C₃×C₂²⋊C₄	—	4	1	no	—
698	C₃×C₂²⋊C₄	—	4	1	no	—
699	C₃×C₂²⋊C₄	—	4	1	no	—
700	C₃×C₂²⋊C₄	—	4	1	no	—
701	C₃×C₂²⋊C₄	—	4	1	no	—
702	C₃×C₂²⋊C₄	—	4	1	no	—
703	C₃×C₂²⋊C₄	—	4	1	no	—
704	C₃×C₂²⋊C₄	—	4	1	no	—
705	C₃×C₂²⋊C₄	#41	1	4	yes	—
706	C₃×C₄²	—	2	2	no	—
707	C₃×C₄²	—	2	2	no	—
708	C₃×C₄²	—	2	2	no	—
709	C₃×C₄²	—	2	2	no	—
710	C₃×C₄²	—	4	1	no	—
711	C₃×C₄²	—	4	1	no	—
712	C₃×C₄²	—	4	1	no	—
713	C₃×C₄²	—	4	1	no	—
714	C₃×C₄²	—	4	1	no	—
715	C₃×C₄²	—	4	1	no	—
716	C₃×C₄²	—	4	1	no	—
717	C₃×C₄²	—	4	1	no	—
718	C₃×C₄²	—	4	1	no	—
719	C₃×C₄²	—	4	1	no	—
720	C₂⁵	C₂³×C₃	1	1	yes	characteristic
721	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
722	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
723	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
724	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
725	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
726	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
727	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
728	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
729	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
730	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
731	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
732	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
733	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
734	#126	—	2	4	no	—
735	#126	—	4	2	no	—
736	#126	—	4	2	no	—
737	#126	—	4	2	no	—
738	#124	—	2	4	no	—
739	#124	—	4	2	no	—
740	#123	—	4	2	no	—
741	C₂²⋊Q₈	—	4	2	no	—
742	C₂²⋊Q₈	—	4	2	no	—
743	#120	—	2	4	no	—
744	#120	—	4	2	no	—
745	C₄×Q₈	—	4	2	no	—
746	C₄×D₄	—	4	2	no	—
747	C₄×D₄	—	4	2	no	—
748	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
749	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
750	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
751	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
752	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
753	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
754	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
755	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
756	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
757	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
758	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
760	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
761	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
762	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
763	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
764	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
765	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
766	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
767	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
768	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
769	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
770	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
771	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
772	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
773	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
774	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
775	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
776	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
777	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
779	C₂×C₂²⋊C₄	—	4	2	no	—
780	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
781	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
782	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
783	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
784	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
785	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
786	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
787	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
788	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
789	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
790	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
791	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
792	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
793	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
794	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
795	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
796	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
797	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
798	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
799	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
800	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
801	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
802	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
803	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
804	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
805	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
806	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
807	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
808	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
809	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
810	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
811	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
812	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
813	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
814	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
815	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
816	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
817	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
818	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
819	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
820	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
821	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
822	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
823	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
824	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
825	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
826	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
827	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
828	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
829	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
830	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
831	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
832	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
833	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
834	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
835	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
836	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
837	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
838	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
839	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
840	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
841	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
842	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
843	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
844	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
845	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
846	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
847	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
848	#95	C₂³×C₃	1	1	yes	characteristic
849	#95	C₂³×C₃	1	1	yes	characteristic
850	#95	C₂³×C₃	1	1	yes	characteristic
851	#95	C₂³×C₃	1	1	yes	characteristic
852	#95	C₂³×C₃	1	1	yes	characteristic
853	#95	C₂³×C₃	1	1	yes	characteristic
854	#95	C₂³×C₃	1	1	yes	characteristic
855	#95	C₂³×C₃	1	1	yes	characteristic
856	#95	C₂³×C₃	1	1	yes	characteristic
857	#95	C₂³×C₃	1	1	yes	characteristic
858	#95	C₂³×C₃	1	1	yes	characteristic
859	#95	C₂³×C₃	1	1	yes	characteristic
860	#95	C₂³×C₃	1	1	yes	characteristic
861	#95	C₂³×C₃	1	1	yes	characteristic
862	#95	C₂³×C₃	1	1	yes	characteristic
863	#95	C₂³×C₃	1	1	yes	characteristic
864	#95	C₂³×C₃	1	1	yes	characteristic
865	#95	C₂³×C₃	1	1	yes	characteristic
866	#95	C₂³×C₃	1	1	yes	characteristic
867	#95	C₂³×C₃	1	1	yes	characteristic
868	#95	C₂³×C₃	1	1	yes	characteristic
869	#95	C₂³×C₃	1	1	yes	characteristic
870	#95	C₂³×C₃	1	1	yes	characteristic
871	#95	C₂³×C₃	1	1	yes	characteristic
872	#95	C₂³×C₃	1	1	yes	characteristic
873	#95	C₂³×C₃	1	1	yes	characteristic
874	#95	C₂³×C₃	1	1	yes	characteristic
875	#95	C₂³×C₃	1	1	yes	characteristic
876	#95	C₂³×C₃	1	1	yes	characteristic
877	#95	C₂³×C₃	1	1	yes	characteristic
878	#95	C₂³×C₃	1	1	yes	characteristic
879	#95	C₂³×C₃	1	1	yes	characteristic
880	#95	C₂³×C₃	1	1	yes	characteristic
881	#95	C₂³×C₃	1	1	yes	characteristic
882	#95	C₂³×C₃	1	1	yes	characteristic
883	#95	C₂³×C₃	1	1	yes	characteristic
884	#95	C₂³×C₃	1	1	yes	characteristic
885	#95	C₂³×C₃	1	1	yes	characteristic
886	#95	C₂³×C₃	1	1	yes	characteristic
887	#95	C₂³×C₃	1	1	yes	characteristic
888	#95	C₂³×C₃	1	1	yes	characteristic
889	#95	C₂³×C₃	1	1	yes	characteristic
890	C₂³×C₃	—	2	1	no	—
891	C₂³×C₃	—	2	1	no	—
892	C₂³×C₃	—	2	1	no	—
893	C₂³×C₃	—	2	1	no	—
894	C₂³×C₃	—	2	1	no	—
895	C₂³×C₃	—	2	1	no	—
896	C₂³×C₃	—	2	1	no	—
897	C₂³×C₃	—	2	1	no	—
898	C₂³×C₃	—	2	1	no	—
899	C₂³×C₃	—	2	1	no	—
900	C₂³×C₃	—	2	1	no	—
901	C₂³×C₃	—	2	1	no	—
902	C₂³×C₃	—	2	1	no	—
903	C₂³×C₃	—	2	1	no	—
904	C₂³×C₃	—	2	1	no	—
905	C₂³×C₃	—	2	1	no	—
906	C₂³×C₃	—	2	1	no	—
907	C₂³×C₃	—	2	1	no	—
908	C₂³×C₃	—	2	1	no	—
909	C₂³×C₃	—	2	1	no	—
910	C₂³×C₃	—	2	1	no	—
911	C₂³×C₃	—	2	1	no	—
912	C₂³×C₃	—	2	1	no	—
913	C₂³×C₃	—	2	1	no	—
914	C₂³×C₃	—	2	1	no	—
915	C₂³×C₃	—	2	1	no	—
916	C₂³×C₃	—	2	1	no	—
917	C₂³×C₃	—	2	1	no	—
918	C₂³×C₃	—	2	1	no	—
919	C₂³×C₃	—	2	1	no	—
920	C₂³×C₃	—	2	1	no	—
921	C₂³×C₃	—	2	1	no	—
922	C₂³×C₃	—	2	1	no	—
923	C₂³×C₃	—	2	1	no	—
924	C₂³×C₃	—	4	4	no	—
925	C₂³×C₃	—	8	2	no	—
926	C₂³×C₃	—	8	2	no	—
927	C₂³×C₃	—	8	2	no	—
928	C₂³×C₃	—	8	2	no	—
929	C₂³×C₃	—	8	2	no	—
930	C₂³×C₃	—	8	2	no	—
931	C₂³×C₃	C₂×#41	1	2	yes	—
932	C₂³×C₃	C₂⁵	1	1	yes	characteristic
933	C₃×Q₈	—	4	4	no	—
934	C₃×Q₈	—	8	2	no	—
935	C₃×D₄	—	4	4	no	—
936	C₃×D₄	—	4	4	no	—
937	C₃×D₄	—	8	2	no	—
938	C₃×D₄	—	8	2	no	—
939	C₃×D₄	—	8	2	no	—
940	C₃×D₄	—	8	2	no	—
941	C₃×D₄	—	8	2	no	—
942	C₂×C₃×C₄	—	2	1	no	—
943	C₂×C₃×C₄	—	2	1	no	—
944	C₂×C₃×C₄	—	2	1	no	—
945	C₂×C₃×C₄	—	2	1	no	—
946	C₂×C₃×C₄	—	2	1	no	—
947	C₂×C₃×C₄	—	2	1	no	—
948	C₂×C₃×C₄	—	2	1	no	—
949	C₂×C₃×C₄	—	2	1	no	—
950	C₂×C₃×C₄	—	2	1	no	—
951	C₂×C₃×C₄	—	2	1	no	—
952	C₂×C₃×C₄	—	2	1	no	—
953	C₂×C₃×C₄	—	2	1	no	—
954	C₂×C₃×C₄	—	2	1	no	—
955	C₂×C₃×C₄	—	2	1	no	—
956	C₂×C₃×C₄	—	2	1	no	—
957	C₂×C₃×C₄	—	2	1	no	—
958	C₂×C₃×C₄	—	2	1	no	—
959	C₂×C₃×C₄	—	2	1	no	—
960	C₂×C₃×C₄	—	2	1	no	—
961	C₂×C₃×C₄	—	2	1	no	—
962	C₂×C₃×C₄	—	2	1	no	—
963	C₂×C₃×C₄	—	2	1	no	—
964	C₂×C₃×C₄	—	2	1	no	—
965	C₂×C₃×C₄	—	2	1	no	—
966	C₂×C₃×C₄	—	2	1	no	—
967	C₂×C₃×C₄	—	2	1	no	—
968	C₂×C₃×C₄	—	2	1	no	—
969	C₂×C₃×C₄	—	2	1	no	—
970	C₂×C₃×C₄	—	2	1	no	—
971	C₂×C₃×C₄	—	2	1	no	—
972	C₂×C₃×C₄	—	2	1	no	—
973	C₂×C₃×C₄	—	2	1	no	—
974	C₂×C₃×C₄	—	2	1	no	—
975	C₂×C₃×C₄	—	2	1	no	—
976	C₂×C₃×C₄	—	2	1	no	—
977	C₂×C₃×C₄	—	2	1	no	—
978	C₂×C₃×C₄	—	2	1	no	—
979	C₂×C₃×C₄	—	2	1	no	—
980	C₂×C₃×C₄	—	2	1	no	—
981	C₂×C₃×C₄	—	2	1	no	—
982	C₂×C₃×C₄	—	2	1	no	—
983	C₂×C₃×C₄	—	2	1	no	—
984	C₂×C₃×C₄	—	2	1	no	—
985	C₂×C₃×C₄	—	2	1	no	—
986	C₂×C₃×C₄	—	2	1	no	—
987	C₂×C₃×C₄	—	2	1	no	—
988	C₂×C₃×C₄	—	2	1	no	—
989	C₂×C₃×C₄	—	2	1	no	—
990	C₂×C₃×C₄	—	2	1	no	—
991	C₂×C₃×C₄	—	2	1	no	—
992	C₂×C₃×C₄	—	2	1	no	—
993	C₂×C₃×C₄	—	2	1	no	—
994	C₂×C₃×C₄	—	2	1	no	—
995	C₂×C₃×C₄	—	2	1	no	—
996	C₂×C₃×C₄	—	2	1	no	—
997	C₂×C₃×C₄	—	2	1	no	—
998	C₂×C₃×C₄	—	2	1	no	—
999	C₂×C₃×C₄	—	2	1	no	—
1000	C₂×C₃×C₄	—	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	—	8	2	no	—
1017	C₂×C₃×C₄	—	8	2	no	—
1018	C₂×C₃×C₄	—	8	2	no	—
1019	C₂×C₃×C₄	—	8	2	no	—
1020	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1021	C₂×C₃×C₄	C₂×#41	1	2	yes	—
1022	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1023	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
1024	C₂⁴	—	2	2	no	—
1025	C₂⁴	—	4	1	no	—
1026	C₂⁴	—	4	1	no	—
1027	C₂⁴	—	4	1	no	—
1028	C₂⁴	—	4	1	no	—
1029	C₂⁴	—	4	1	no	—
1030	C₂⁴	—	4	1	no	—
1031	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1032	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1033	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1034	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1035	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1036	C₂×Q₈	—	2	2	no	—
1037	C₂×Q₈	—	2	2	no	—
1038	C₂×Q₈	—	4	1	no	—
1039	C₂×Q₈	—	4	1	no	—
1040	C₂×Q₈	—	4	1	no	—
1041	C₂×Q₈	—	4	1	no	—
1042	C₂×D₄	—	2	2	no	—
1043	C₂×D₄	—	2	2	no	—
1044	C₂×D₄	—	2	2	no	—
1045	C₂×D₄	—	2	2	no	—
1046	C₂×D₄	—	2	2	no	—
1047	C₂×D₄	—	4	1	no	—
1048	C₂×D₄	—	4	1	no	—
1049	C₂×D₄	—	4	1	no	—
1050	C₂×D₄	—	4	1	no	—
1051	C₂×D₄	—	4	1	no	—
1052	C₂×D₄	—	4	1	no	—
1053	C₂×D₄	—	4	1	no	—
1054	C₂×D₄	—	4	1	no	—
1055	C₂×D₄	—	4	1	no	—
1056	C₂×D₄	—	4	1	no	—
1057	C₂×D₄	—	4	1	no	—
1058	C₂×D₄	—	4	1	no	—
1059	C₂×D₄	—	4	1	no	—
1060	C₂×D₄	—	4	1	no	—
1061	C₂×D₄	—	4	1	no	—
1062	C₂×D₄	—	4	1	no	—
1063	C₂²×C₄	—	2	2	no	—
1064	C₂²×C₄	—	2	2	no	—
1065	C₂²×C₄	—	4	1	no	—
1066	C₂²×C₄	—	4	1	no	—
1067	C₂²×C₄	—	4	1	no	—
1068	C₂²×C₄	—	4	1	no	—
1069	C₂²×C₄	—	4	1	no	—
1070	C₂²×C₄	—	4	1	no	—
1071	C₂²×C₄	—	4	1	no	—
1072	C₂²×C₄	—	4	1	no	—
1073	C₂²×C₄	—	4	1	no	—
1074	C₂²×C₄	—	4	1	no	—
1075	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1076	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1077	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1078	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1079	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1080	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1081	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1082	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1083	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1084	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1085	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1086	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1087	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1088	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1089	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1090	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1091	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1092	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1093	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1094	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1095	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1096	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1097	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1098	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1099	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1100	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1101	C₄⋊C₄	—	2	2	no	—
1102	C₄⋊C₄	—	2	2	no	—
1103	C₄⋊C₄	—	2	2	no	—
1104	C₄⋊C₄	—	2	2	no	—
1105	C₄⋊C₄	—	2	2	no	—
1106	C₄⋊C₄	—	2	2	no	—
1107	C₄⋊C₄	—	2	2	no	—
1108	C₄⋊C₄	—	2	2	no	—
1109	C₄⋊C₄	—	2	2	no	—
1110	C₄⋊C₄	—	4	1	no	—
1111	C₄⋊C₄	—	4	1	no	—
1112	C₄⋊C₄	—	4	1	no	—
1113	C₄⋊C₄	—	4	1	no	—
1114	C₄⋊C₄	—	4	1	no	—
1115	C₄⋊C₄	—	4	1	no	—
1116	C₄⋊C₄	—	4	1	no	—
1117	C₄⋊C₄	—	4	1	no	—
1118	C₄⋊C₄	—	4	1	no	—
1119	C₄⋊C₄	—	4	1	no	—
1120	C₄⋊C₄	—	4	1	no	—
1121	C₄⋊C₄	—	4	1	no	—
1122	C₄⋊C₄	—	4	1	no	—
1123	C₄⋊C₄	—	4	1	no	—
1124	C₄⋊C₄	—	4	1	no	—
1125	C₄⋊C₄	—	4	1	no	—
1126	C₄⋊C₄	—	4	1	no	—
1127	C₄⋊C₄	—	4	1	no	—
1128	C₄⋊C₄	—	4	1	no	—
1129	C₄⋊C₄	—	4	1	no	—
1130	C₄⋊C₄	—	4	1	no	—
1131	C₄⋊C₄	—	4	1	no	—
1132	C₂²⋊C₄	—	2	2	no	—
1133	C₂²⋊C₄	—	2	2	no	—
1134	C₂²⋊C₄	—	2	2	no	—
1135	C₂²⋊C₄	—	2	2	no	—
1136	C₂²⋊C₄	—	2	2	no	—
1137	C₂²⋊C₄	—	2	2	no	—
1138	C₂²⋊C₄	—	2	2	no	—
1139	C₂²⋊C₄	—	2	2	no	—
1140	C₂²⋊C₄	—	2	2	no	—
1141	C₂²⋊C₄	—	2	2	no	—
1142	C₂²⋊C₄	—	2	2	no	—
1143	C₂²⋊C₄	—	2	2	no	—
1144	C₂²⋊C₄	—	2	2	no	—
1145	C₂²⋊C₄	—	4	1	no	—
1146	C₂²⋊C₄	—	4	1	no	—
1147	C₂²⋊C₄	—	4	1	no	—
1148	C₂²⋊C₄	—	4	1	no	—
1149	C₂²⋊C₄	—	4	1	no	—
1150	C₂²⋊C₄	—	4	1	no	—
1151	C₂²⋊C₄	—	4	1	no	—
1152	C₂²⋊C₄	—	4	1	no	—
1153	C₂²⋊C₄	—	4	1	no	—
1154	C₂²⋊C₄	—	4	1	no	—
1155	C₂²⋊C₄	—	4	1	no	—
1156	C₂²⋊C₄	—	4	1	no	—
1157	C₂²⋊C₄	—	4	1	no	—
1158	C₂²⋊C₄	—	4	1	no	—
1159	C₂²⋊C₄	—	4	1	no	—
1160	C₂²⋊C₄	—	4	1	no	—
1161	C₂²⋊C₄	—	4	1	no	—
1162	C₂²⋊C₄	—	4	1	no	—
1163	C₂²⋊C₄	—	4	1	no	—
1164	C₂²⋊C₄	—	4	1	no	—
1165	C₂²⋊C₄	—	4	1	no	—
1166	C₂²⋊C₄	—	4	1	no	—
1167	C₂²⋊C₄	—	4	1	no	—
1168	C₂²⋊C₄	—	4	1	no	—
1169	C₂²⋊C₄	—	4	1	no	—
1170	C₂²⋊C₄	—	4	1	no	—
1171	C₂²⋊C₄	—	4	1	no	—
1172	C₂²⋊C₄	—	4	1	no	—
1173	C₂²⋊C₄	—	4	1	no	—
1174	C₂²⋊C₄	—	4	1	no	—
1175	C₂²⋊C₄	—	4	1	no	—
1176	C₂²⋊C₄	—	4	1	no	—
1177	C₂²⋊C₄	—	4	1	no	—
1178	C₂²⋊C₄	—	4	1	no	—
1179	C₂²⋊C₄	—	4	1	no	—
1180	C₂²⋊C₄	—	4	1	no	—
1181	C₂²⋊C₄	—	4	1	no	—
1182	C₂²⋊C₄	—	4	1	no	—
1183	C₂²⋊C₄	—	4	1	no	—
1184	C₂²⋊C₄	—	4	1	no	—
1185	C₂²⋊C₄	C₃×#41	1	4	yes	—
1186	C₄²	—	2	2	no	—
1187	C₄²	—	2	2	no	—
1188	C₄²	—	2	2	no	—
1189	C₄²	—	2	2	no	—
1190	C₄²	—	4	1	no	—
1191	C₄²	—	4	1	no	—
1192	C₄²	—	4	1	no	—
1193	C₄²	—	4	1	no	—
1194	C₄²	—	4	1	no	—
1195	C₄²	—	4	1	no	—
1196	C₄²	—	4	1	no	—
1197	C₄²	—	4	1	no	—
1198	C₄²	—	4	1	no	—
1199	C₄²	—	4	1	no	—
1200	C₂²×C₃	—	2	2	no	—
1201	C₂²×C₃	—	2	2	no	—
1202	C₂²×C₃	—	2	2	no	—
1203	C₂²×C₃	—	4	1	no	—
1204	C₂²×C₃	—	4	1	no	—
1205	C₂²×C₃	—	4	1	no	—
1206	C₂²×C₃	—	4	1	no	—
1207	C₂²×C₃	—	4	1	no	—
1208	C₂²×C₃	—	4	1	no	—
1209	C₂²×C₃	—	4	1	no	—
1210	C₂²×C₃	—	4	1	no	—
1211	C₂²×C₃	—	4	1	no	—
1212	C₂²×C₃	—	4	1	no	—
1213	C₂²×C₃	—	4	1	no	—
1214	C₂²×C₃	—	4	1	no	—
1215	C₂²×C₃	—	4	1	no	—
1216	C₂²×C₃	—	4	1	no	—
1217	C₂²×C₃	—	4	1	no	—
1218	C₂²×C₃	—	4	1	no	—
1219	C₂²×C₃	—	4	1	no	—
1220	C₂²×C₃	—	4	1	no	—
1221	C₂²×C₃	—	4	1	no	—
1222	C₂²×C₃	—	4	1	no	—
1223	C₂²×C₃	—	4	1	no	—
1224	C₂²×C₃	—	4	1	no	—
1225	C₂²×C₃	—	4	1	no	—
1226	C₂²×C₃	—	4	1	no	—
1227	C₂²×C₃	—	4	1	no	—
1228	C₂²×C₃	—	4	1	no	—
1229	C₂²×C₃	—	4	1	no	—
1230	C₂²×C₃	—	4	1	no	—
1231	C₂²×C₃	—	4	1	no	—
1232	C₂²×C₃	—	4	1	no	—
1233	C₂²×C₃	—	4	1	no	—
1234	C₂²×C₃	—	4	1	no	—
1235	C₂²×C₃	—	8	8	no	—
1236	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1237	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1238	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1239	C₂²×C₃	#585	1	1	yes	characteristic
1240	C₂²×C₃	#585	1	1	yes	characteristic
1241	C₂²×C₃	#585	1	1	yes	characteristic
1242	C₂²×C₃	#585	1	1	yes	characteristic
1243	C₃×C₄	—	2	2	no	—
1244	C₃×C₄	—	2	2	no	—
1245	C₃×C₄	—	2	2	no	—
1246	C₃×C₄	—	2	2	no	—
1247	C₃×C₄	—	4	1	no	—
1248	C₃×C₄	—	4	1	no	—
1249	C₃×C₄	—	4	1	no	—
1250	C₃×C₄	—	4	1	no	—
1251	C₃×C₄	—	4	1	no	—
1252	C₃×C₄	—	4	1	no	—
1253	C₃×C₄	—	4	1	no	—
1254	C₃×C₄	—	4	1	no	—
1255	C₃×C₄	—	4	1	no	—
1256	C₃×C₄	—	4	1	no	—
1257	C₃×C₄	—	4	1	no	—
1258	C₃×C₄	—	4	1	no	—
1259	C₃×C₄	—	4	1	no	—
1260	C₃×C₄	—	4	1	no	—
1261	C₃×C₄	—	4	1	no	—
1262	C₃×C₄	—	4	1	no	—
1263	C₃×C₄	—	4	1	no	—
1264	C₃×C₄	—	4	1	no	—
1265	C₃×C₄	—	4	1	no	—
1266	C₃×C₄	—	4	1	no	—
1267	C₃×C₄	—	4	1	no	—
1268	C₃×C₄	—	4	1	no	—
1269	C₂³	—	2	1	no	—
1270	C₂³	—	2	1	no	—
1271	C₂³	—	2	1	no	—
1272	C₂³	—	2	1	no	—
1273	C₂³	—	2	1	no	—
1274	C₂³	—	2	1	no	—
1275	C₂³	—	2	1	no	—
1276	C₂³	—	2	1	no	—
1277	C₂³	—	2	1	no	—
1278	C₂³	—	2	1	no	—
1279	C₂³	—	2	1	no	—
1280	C₂³	—	2	1	no	—
1281	C₂³	—	2	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	2	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	4	4	no	—
1304	C₂³	—	8	2	no	—
1305	C₂³	—	8	2	no	—
1306	C₂³	—	8	2	no	—
1307	C₂³	—	8	2	no	—
1308	C₂³	—	8	2	no	—
1309	C₂³	—	8	2	no	—
1310	C₂³	C₂×C₃×#41	1	2	yes	—
1311	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1312	Q₈	—	4	4	no	—
1313	Q₈	—	8	2	no	—
1314	D₄	—	4	4	no	—
1315	D₄	—	4	4	no	—
1316	D₄	—	8	2	no	—
1317	D₄	—	8	2	no	—
1318	D₄	—	8	2	no	—
1319	D₄	—	8	2	no	—
1320	D₄	—	8	2	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	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	—	8	2	no	—
1396	C₂×C₄	—	8	2	no	—
1397	C₂×C₄	—	8	2	no	—
1398	C₂×C₄	—	8	2	no	—
1399	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1400	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1401	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1402	C₂×C₄	C₃×H(5,𝔽₂)	1	2	yes	—
1403	C₂×C₃	—	4	2	no	—
1404	C₂×C₃	—	8	1	no	—
1405	C₂×C₃	—	8	1	no	—
1406	C₂×C₃	—	8	1	no	—
1407	C₂×C₃	—	8	1	no	—
1408	C₂×C₃	#3460	1	1	yes	characteristic
1409	C₂×C₃	#3513	1	1	yes	characteristic
1410	C₂×C₃	#3521	1	1	yes	characteristic
1411	C₂×C₃	#3558	1	1	yes	characteristic
1412	C₂×C₃	#3562	1	1	yes	characteristic
1413	C₂×C₃	#3562	1	1	yes	characteristic
1414	C₂×C₃	#3568	1	1	yes	characteristic
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	4	1	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	4	1	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	4	1	no	—
1437	C₂²	—	4	1	no	—
1438	C₂²	—	4	1	no	—
1439	C₂²	—	4	1	no	—
1440	C₂²	—	4	1	no	—
1441	C₂²	—	4	1	no	—
1442	C₂²	—	4	1	no	—
1443	C₂²	—	4	1	no	—
1444	C₂²	—	4	1	no	—
1445	C₂²	—	4	1	no	—
1446	C₂²	—	4	1	no	—
1447	C₂²	—	4	1	no	—
1448	C₂²	—	4	1	no	—
1449	C₂²	—	4	1	no	—
1450	C₂²	—	8	8	no	—
1451	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
1452	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1453	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1454	C₂²	C₃×#585	1	1	yes	characteristic
1455	C₂²	C₃×#585	1	1	yes	characteristic
1456	C₂²	C₃×#585	1	1	yes	characteristic
1457	C₂²	C₃×#585	1	1	yes	characteristic
1458	C₄	—	2	2	no	—
1459	C₄	—	2	2	no	—
1460	C₄	—	2	2	no	—
1461	C₄	—	2	2	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	4	1	no	—
1469	C₄	—	4	1	no	—
1470	C₄	—	4	1	no	—
1471	C₄	—	4	1	no	—
1472	C₄	—	4	1	no	—
1473	C₄	—	4	1	no	—
1474	C₄	—	4	1	no	—
1475	C₄	—	4	1	no	—
1476	C₄	—	4	1	no	—
1477	C₄	—	4	1	no	—
1478	C₄	—	4	1	no	—
1479	C₄	—	4	1	no	—
1480	C₄	—	4	1	no	—
1481	C₄	—	4	1	no	—
1482	C₄	—	4	1	no	—
1483	C₄	—	4	1	no	—
1484	C₃	#37114	1	1	yes	characteristic, direct product factor, Sylow
1485	C₂	—	4	2	no	—
1486	C₂	—	8	1	no	—
1487	C₂	—	8	1	no	—
1488	C₂	—	8	1	no	—
1489	C₂	—	8	1	no	—
1490	C₂	C₃×#3460	1	1	yes	characteristic
1491	C₂	C₃×#3513	1	1	yes	characteristic
1492	C₂	C₃×#3521	1	1	yes	characteristic
1493	C₂	C₃×#3558	1	1	yes	characteristic
1494	C₂	C₃×#3562	1	1	yes	characteristic
1495	C₂	C₃×#3562	1	1	yes	characteristic
1496	C₂	C₃×#3568	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₃×#2670	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. C₃×#2865	C₂	semidirect
2. C₃×#2860	C₂	semidirect
3. C₃×#2800	C₂	semidirect
4. C₃×#2800	C₂	semidirect
5. C₃×#2797	C₂	semidirect
6. C₃×#2788	C₂	semidirect
7. C₃×#2773	C₂	semidirect
8. C₃×#2754	C₂	semidirect
9. C₃×#2753	C₂	semidirect
10. C₃×#2752	C₂	semidirect
11. C₃×#2741	C₂	semidirect
12. C₃×#2736	C₂	semidirect
13. C₃×#2723	C₂	semidirect
14. C₃×#2715	C₂	semidirect
15. C₃×#2700	C₂	semidirect
16. C₃×#2685	C₂	semidirect
17. C₃×#2685	C₂	semidirect
19. C₃×#2663	C₂	semidirect
20. C₃×#2648	C₂	semidirect
21. C₃×#2560	C₂	semidirect
22. C₃×#2554	C₂	semidirect
23. C₃×#2480	C₂	semidirect
24. C₃×#2469	C₂	semidirect
25. C₃×#2466	C₂	semidirect
26. C₃×#2463	C₂	semidirect
27. C₃×#2448	C₂	semidirect
28. C₃×#2418	C₂	semidirect
29. C₃×#2334	C₂	semidirect
30. C₃×#2321	C₂	semidirect
31. C₃×C₄×#124	C₂	semidirect
32. #37114	C₃	direct (N × H)
36. C₂×C₃×#126	C₂²	semidirect
40. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
41. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
44. C₂×C₃×C₄×Q₈	C₂²	semidirect
48. C₃×#400	C₂²	semidirect
49. C₃×#400	C₂²	semidirect
50. C₃×#400	C₂²	semidirect
54. C₃×#399	C₂²	semidirect
55. C₃×#398	C₂²	semidirect
56. C₃×#398	C₂²	semidirect
64. C₃×#397	C₂²	semidirect
65. C₃×#397	C₂²	semidirect
66. C₃×#397	C₂²	semidirect
67. C₃×#397	C₂²	semidirect
68. C₃×#397	C₂²	semidirect
72. C₃×#396	C₂²	semidirect
73. C₃×#396	C₂²	semidirect
74. C₃×#395	C₂²	semidirect
75. C₃×#395	C₂²	semidirect
88. C₃×#394	C₂²	semidirect
96. C₃×#391	C₂²	semidirect
97. C₃×#391	C₂²	semidirect
98. C₃×#391	C₂²	semidirect
107. C₃×#390	C₂²	semidirect
108. C₃×#389	C₂²	semidirect
109. C₃×#389	C₂²	semidirect
110. C₃×#389	C₂²	semidirect
111. C₃×#389	C₂²	semidirect
112. C₃×#389	C₂²	semidirect
113. C₃×#389	C₂²	semidirect
114. C₃×#389	C₂²	semidirect
138. C₃×#388	C₂²	semidirect
139. C₃×#388	C₂²	semidirect
140. C₃×#388	C₂²	semidirect
141. C₃×#388	C₂²	semidirect
142. C₃×#388	C₂²	semidirect
143. C₃×#388	C₂²	semidirect
144. C₃×#388	C₂²	semidirect
145. C₃×#388	C₂²	semidirect
146. C₃×#388	C₂²	semidirect
147. C₃×#387	C₂²	semidirect
148. C₃×#387	C₂²	semidirect
149. C₃×#387	C₂²	semidirect
150. C₃×#387	C₂²	semidirect
151. C₃×#387	C₂²	semidirect
152. C₃×#387	C₂²	semidirect
153. C₃×#387	C₂²	semidirect
154. C₃×#387	C₂²	semidirect
155. C₃×#387	C₂²	semidirect
156. C₃×#387	C₂²	semidirect
157. C₃×#387	C₂²	semidirect
158. C₃×#387	C₂²	semidirect
159. C₃×#387	C₂²	semidirect
165. C₃×#386	C₂²	semidirect
166. C₃×#386	C₂²	semidirect
171. C₃×#385	C₂²	semidirect
172. C₃×#382	C₂²	semidirect
173. C₃×#382	C₂²	semidirect
174. C₃×#381	C₂²	semidirect
181. C₃×C₄×C₄⋊C₄	C₂²	semidirect
182. C₃×C₄×C₄⋊C₄	C₂²	semidirect
185. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
186. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
187. C₃×C₄³	C₂²	semidirect
188. #2865	C₂×C₃	semidirect
189. #2860	C₂×C₃	semidirect
190. #2800	C₂×C₃	semidirect
191. #2800	C₂×C₃	semidirect
192. #2797	C₂×C₃	semidirect
193. #2788	C₂×C₃	semidirect
194. #2773	C₂×C₃	semidirect
195. #2754	C₂×C₃	semidirect
196. #2753	C₂×C₃	semidirect
197. #2752	C₂×C₃	semidirect
198. #2741	C₂×C₃	semidirect
199. #2736	C₂×C₃	semidirect
200. #2723	C₂×C₃	semidirect
201. #2715	C₂×C₃	semidirect
202. #2700	C₂×C₃	semidirect
203. #2685	C₂×C₃	semidirect
204. #2685	C₂×C₃	semidirect
206. #2663	C₂×C₃	semidirect
207. #2648	C₂×C₃	semidirect
208. #2560	C₂×C₃	semidirect
209. #2554	C₂×C₃	semidirect
210. #2480	C₂×C₃	semidirect
211. #2469	C₂×C₃	semidirect
212. #2466	C₂×C₃	semidirect
213. #2463	C₂×C₃	semidirect
214. #2448	C₂×C₃	semidirect
215. #2418	C₂×C₃	semidirect
216. #2334	C₂×C₃	semidirect
217. #2321	C₂×C₃	semidirect
218. C₄×#124	C₂×C₃	semidirect
392. C₂×#126	C₂²×C₃	semidirect
396. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
397. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
400. C₂×C₄×Q₈	C₂²×C₃	semidirect
404. #400	C₂²×C₃	semidirect
405. #400	C₂²×C₃	semidirect
406. #400	C₂²×C₃	semidirect
410. #399	C₂²×C₃	semidirect
411. #398	C₂²×C₃	semidirect
412. #398	C₂²×C₃	semidirect
420. #397	C₂²×C₃	semidirect
421. #397	C₂²×C₃	semidirect
422. #397	C₂²×C₃	semidirect
423. #397	C₂²×C₃	semidirect
424. #397	C₂²×C₃	semidirect
428. #396	C₂²×C₃	semidirect
429. #396	C₂²×C₃	semidirect
430. #395	C₂²×C₃	semidirect
431. #395	C₂²×C₃	semidirect
444. #394	C₂²×C₃	semidirect
452. #391	C₂²×C₃	semidirect
453. #391	C₂²×C₃	semidirect
454. #391	C₂²×C₃	semidirect
463. #390	C₂²×C₃	semidirect
464. #389	C₂²×C₃	semidirect
465. #389	C₂²×C₃	semidirect
466. #389	C₂²×C₃	semidirect
467. #389	C₂²×C₃	semidirect
468. #389	C₂²×C₃	semidirect
469. #389	C₂²×C₃	semidirect
470. #389	C₂²×C₃	semidirect
494. #388	C₂²×C₃	semidirect
495. #388	C₂²×C₃	semidirect
496. #388	C₂²×C₃	semidirect
497. #388	C₂²×C₃	semidirect
498. #388	C₂²×C₃	semidirect
499. #388	C₂²×C₃	semidirect
500. #388	C₂²×C₃	semidirect
501. #388	C₂²×C₃	semidirect
502. #388	C₂²×C₃	semidirect
503. #387	C₂²×C₃	semidirect
504. #387	C₂²×C₃	semidirect
505. #387	C₂²×C₃	semidirect
506. #387	C₂²×C₃	semidirect
507. #387	C₂²×C₃	semidirect
508. #387	C₂²×C₃	semidirect
509. #387	C₂²×C₃	semidirect
510. #387	C₂²×C₃	semidirect
511. #387	C₂²×C₃	semidirect
512. #387	C₂²×C₃	semidirect
513. #387	C₂²×C₃	semidirect
514. #387	C₂²×C₃	semidirect
515. #387	C₂²×C₃	semidirect
521. #386	C₂²×C₃	semidirect
522. #386	C₂²×C₃	semidirect
527. #385	C₂²×C₃	semidirect
528. #382	C₂²×C₃	semidirect
529. #382	C₂²×C₃	semidirect
530. #381	C₂²×C₃	semidirect
537. C₄×C₄⋊C₄	C₂²×C₃	semidirect
538. C₄×C₄⋊C₄	C₂²×C₃	semidirect
541. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
542. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
543. C₄³	C₂²×C₃	semidirect
1484. C₃	#37114	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×#2865	2
C₃×#2860	2
C₃×#2800	2
C₃×#2797	2
C₃×#2788	2
C₃×#2773	2
C₃×#2754	2
C₃×#2753	2
C₃×#2752	2
C₃×#2741	2
C₃×#2736	2
C₃×#2723	2
C₃×#2715	2
C₃×#2700	2
C₃×#2685	2
C₃×#2670	2
C₃×#2663	2
C₃×#2648	2
C₃×#2560	2
C₃×#2554	2
C₃×#2480	2
C₃×#2469	2
C₃×#2466	2
C₃×#2463	2
C₃×#2448	2
C₃×#2418	2
C₃×#2334	2
C₃×#2321	2
C₃×C₄×#124	2
#37114	3

Subgroups — C3×#37114 #10655721

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#37114 #10655721