Subgroups — C₃×#41981 #10660588

Order 768.

2962 conjugacy classes of subgroups.

The subgroup lattice has 1086 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#546	C₂	1	2	yes	maximal, complemented
2	C₃×#2813	C₂	1	2	yes	maximal, complemented
3	C₃×#2733	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2730	C₂	1	2	yes	maximal, complemented
5	C₃×#2728	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#2699	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#2679	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#2678	C₂	1	2	yes	maximal, complemented
9	C₃×#2630	C₂	1	2	yes	maximal, complemented
10	C₃×#2618	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2617	C₂	1	2	yes	maximal, complemented
12	C₃×#2534	C₂	1	2	yes	maximal, complemented
13	C₃×#2444	C₂	1	2	yes	maximal, complemented
14	C₃×#2418	C₂	1	2	yes	maximal, complemented
15	C₃×#2411	C₂	1	2	yes	maximal, complemented
16	C₃×#2410	C₂	1	2	yes	maximal, complemented
17	C₃×#2403	C₂	1	2	yes	maximal, complemented
18	C₂×C₃×#394	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2311	C₂	1	1	yes	maximal, characteristic, complemented
20	#41981	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
21	C₂²×C₃×#41	C₂²	1	1	yes	characteristic
22	C₂³×C₃×D₄	C₂²	1	1	yes	characteristic
23	C₂³×C₃×D₄	C₂²	1	2	yes	complemented
24	C₃×#546	—	2	16	no	—
25	C₂×C₃×#124	C₂²	1	2	yes	complemented
26	C₂×C₃×#123	C₂²	1	2	yes	complemented
27	C₂×C₃×#123	C₂²	1	2	yes	complemented
28	C₂×C₃×#123	C₂²	1	2	yes	complemented
29	C₂×C₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
30	C₂×C₃×#121	C₂²	1	2	yes	—
31	C₂×C₃×#121	C₂²	1	1	yes	characteristic
32	C₂×C₃×#121	C₂²	1	2	yes	complemented
33	C₂×C₃×#121	C₂²	1	2	yes	complemented
34	C₂×C₃×#120	C₂²	1	2	yes	—
35	C₂×C₃×#120	C₂²	1	2	yes	—
36	C₂×C₃×#120	C₂²	1	2	yes	—
37	C₂×C₃×#120	C₂²	1	2	yes	complemented
38	C₂×C₃×#120	C₂²	1	2	yes	complemented
39	C₂×C₃×#120	C₂²	1	2	yes	complemented
40	C₂×C₃×C₄×D₄	C₂²	1	2	yes	complemented
41	C₂×C₃×C₄×D₄	C₂²	1	2	yes	complemented
42	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
43	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
45	C₂²×C₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
46	C₂²×C₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
47	C₃×#400	C₂²	1	2	yes	complemented
48	C₃×#399	C₂²	1	2	yes	complemented
49	C₃×#398	C₂²	1	1	yes	characteristic, complemented
50	C₃×#398	C₂²	1	1	yes	characteristic, complemented
51	C₃×#397	C₂²	1	2	yes	complemented
52	C₃×#397	C₂²	1	2	yes	complemented
53	C₃×#397	C₂²	1	2	yes	complemented
54	C₃×#396	C₂²	1	2	yes	complemented
55	C₃×#396	C₂²	1	2	yes	complemented
56	C₃×#396	C₂²	1	2	yes	complemented
57	C₃×#396	C₂²	1	2	yes	complemented
58	C₃×#394	C₂²	1	1	yes	characteristic
59	C₃×#394	C₂²	1	1	yes	characteristic
60	C₃×#394	C₂²	1	1	yes	characteristic, complemented
61	C₃×#394	C₂²	1	2	yes	complemented
62	C₃×#394	C₂²	1	2	yes	complemented
63	C₃×#394	C₂²	1	2	yes	complemented
64	C₃×#394	C₂²	1	1	yes	characteristic, complemented
65	C₃×#394	C₂²	1	2	yes	complemented
66	C₃×#394	C₂²	1	2	yes	complemented
67	C₃×#394	C₂²	1	2	yes	complemented
68	C₃×#394	C₂²	1	1	yes	characteristic, complemented
69	C₃×#394	C₂²	1	1	yes	characteristic, complemented
70	C₃×#394	C₂²	1	2	yes	complemented
71	C₃×#394	C₂²	1	2	yes	complemented
72	C₃×#394	C₂²	1	2	yes	complemented
73	C₃×#392	C₂²	1	2	yes	—
74	C₃×#392	C₂²	1	2	yes	—
75	C₃×#392	C₂²	1	2	yes	complemented
76	C₃×#392	C₂²	1	2	yes	complemented
77	C₃×#392	C₂²	1	2	yes	complemented
78	C₃×#392	C₂²	1	2	yes	complemented
79	C₃×#391	C₂²	1	1	yes	characteristic, complemented
80	C₃×#391	C₂²	1	1	yes	characteristic, complemented
81	C₃×#390	C₂²	1	2	yes	complemented
82	C₃×#390	C₂²	1	2	yes	complemented
83	C₃×#390	C₂²	1	1	yes	characteristic, complemented
84	C₃×#390	C₂²	1	1	yes	characteristic, complemented
85	C₃×#388	C₂²	1	2	yes	complemented
86	C₃×#388	C₂²	1	2	yes	complemented
87	C₃×#388	C₂²	1	2	yes	complemented
88	C₃×#388	C₂²	1	2	yes	complemented
89	C₃×#388	C₂²	1	2	yes	complemented
90	C₃×#387	C₂²	1	2	yes	complemented
91	C₃×#386	C₂²	1	2	yes	—
92	C₃×#386	C₂²	1	2	yes	complemented
93	C₃×#386	C₂²	1	2	yes	complemented
94	C₃×#386	C₂²	1	2	yes	complemented
95	C₃×#386	C₂²	1	2	yes	complemented
96	C₃×#386	C₂²	1	2	yes	complemented
97	C₃×#386	C₂²	1	2	yes	complemented
98	C₃×#386	C₂²	1	2	yes	complemented
99	C₃×#386	C₂²	1	2	yes	complemented
100	C₃×#385	C₂²	1	2	yes	complemented
101	C₃×#385	C₂²	1	2	yes	complemented
102	C₃×#381	C₂²	1	2	yes	complemented
103	C₃×#380	C₂²	1	2	yes	complemented
104	C₃×#380	C₂²	1	1	yes	characteristic, complemented
105	C₃×#380	C₂²	1	2	yes	complemented
106	C₃×#379	C₂²	1	2	yes	complemented
107	C₃×#379	C₂²	1	2	yes	complemented
108	C₂×C₃×#95	C₂²	1	1	yes	characteristic, complemented
109	C₂×#546	C₂×C₃	1	2	yes	complemented
110	#2813	C₂×C₃	1	2	yes	complemented
111	#2733	C₂×C₃	1	1	yes	characteristic, complemented
112	#2730	C₂×C₃	1	2	yes	complemented
113	#2728	C₂×C₃	1	1	yes	characteristic, complemented
114	#2699	C₂×C₃	1	1	yes	characteristic, complemented
115	#2679	C₂×C₃	1	1	yes	characteristic, complemented
116	#2678	C₂×C₃	1	2	yes	complemented
117	#2630	C₂×C₃	1	2	yes	complemented
118	#2618	C₂×C₃	1	1	yes	characteristic, complemented
119	#2617	C₂×C₃	1	2	yes	complemented
120	#2534	C₂×C₃	1	2	yes	complemented
121	#2444	C₂×C₃	1	2	yes	complemented
122	#2418	C₂×C₃	1	2	yes	complemented
123	#2411	C₂×C₃	1	2	yes	complemented
124	#2410	C₂×C₃	1	2	yes	complemented
125	#2403	C₂×C₃	1	2	yes	complemented
126	C₂×#394	C₂×C₃	1	1	yes	characteristic, complemented
127	#2311	C₂×C₃	1	1	yes	characteristic, complemented
128	C₂⁵×C₃	C₂³	1	2	yes	—
129	C₂⁵×C₃	C₂³	1	2	yes	—
130	C₂×C₃×#41	—	4	2	no	—
131	C₂×C₃×#41	—	4	2	no	—
132	C₂×C₃×#41	D₄	1	8	yes	complemented
133	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
134	C₂²×C₃×D₄	—	2	8	no	—
135	C₂²×C₃×D₄	—	4	2	no	—
136	C₂²×C₃×D₄	—	4	4	no	—
137	C₂²×C₃×D₄	—	4	4	no	—
138	C₂²×C₃×D₄	—	4	4	no	—
139	C₂²×C₃×D₄	C₂³	1	2	yes	—
140	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
141	C₂²×C₃×D₄	C₂³	1	2	yes	—
142	C₂²×C₃×D₄	C₂³	1	2	yes	—
143	C₂²×C₃×D₄	C₂³	1	2	yes	—
144	C₂²×C₃×D₄	C₂³	1	2	yes	—
145	C₂²×C₃×D₄	C₂³	1	2	yes	—
146	C₂²×C₃×D₄	C₂³	1	2	yes	—
147	C₂²×C₃×D₄	C₂³	1	2	yes	—
148	C₂²×C₃×D₄	C₂³	1	2	yes	—
149	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
150	C₂²×C₃×D₄	C₂³	1	2	yes	—
151	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
152	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
153	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
154	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
155	C₂³×C₃×C₄	C₂³	1	2	yes	—
156	C₂³×C₃×C₄	C₂³	1	2	yes	—
157	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
158	C₂³×C₃×C₄	C₂³	1	2	yes	—
159	C₂³×C₃×C₄	C₂³	1	2	yes	—
160	C₃×#124	—	2	8	no	—
161	C₃×#123	—	2	8	no	—
162	C₃×#123	—	2	8	no	—
163	C₃×#123	—	4	4	no	—
164	C₃×C₂²⋊Q₈	—	2	8	no	—
165	C₃×#121	—	2	8	no	—
166	C₃×#121	—	2	8	no	—
167	C₃×#121	—	2	8	no	—
168	C₃×#121	—	4	2	no	—
169	C₃×#120	—	2	8	no	—
170	C₃×#120	—	2	8	no	—
171	C₃×#120	—	4	4	no	—
172	C₃×#120	—	4	4	no	—
173	C₃×#120	—	4	4	no	—
174	C₃×#120	—	4	4	no	—
175	C₃×C₄×D₄	—	2	8	no	—
176	C₃×C₄×D₄	—	2	8	no	—
177	C₃×#117	—	4	2	no	—
178	C₂×C₃×C₄⋊C₄	—	4	2	no	—
179	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
180	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
181	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
182	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
183	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
184	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
185	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
186	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
187	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
188	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
189	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
190	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
191	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
192	C₂×C₃×C₂²⋊C₄	—	2	8	no	—
193	C₂×C₃×C₂²⋊C₄	—	2	8	no	—
194	C₂×C₃×C₂²⋊C₄	—	4	4	no	—
195	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
196	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
197	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
204	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
206	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
212	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
213	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
218	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
223	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
225	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
226	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
227	C₂×C₃×C₄²	C₂³	1	2	yes	—
228	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
229	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
230	C₃×#95	C₂³	1	1	yes	characteristic
231	C₃×#95	C₂³	1	2	yes	—
232	C₃×#95	C₂³	1	1	yes	characteristic
233	C₃×#95	C₂³	1	2	yes	—
234	C₃×#95	C₂³	1	2	yes	—
235	C₃×#95	C₂³	1	2	yes	—
236	C₃×#95	C₂³	1	2	yes	—
237	C₃×#95	C₂³	1	1	yes	characteristic
238	C₃×#95	C₂³	1	1	yes	characteristic
239	C₃×#95	C₂³	1	2	yes	—
240	C₃×#95	C₂³	1	2	yes	—
241	C₃×#95	C₂³	1	2	yes	—
242	C₃×#95	C₂³	1	2	yes	—
243	C₃×#95	C₂³	1	2	yes	—
244	C₃×#95	C₂³	1	2	yes	—
245	C₂²×#41	C₂²×C₃	1	1	yes	characteristic
246	C₂³×D₄	C₂²×C₃	1	1	yes	characteristic
247	C₂³×D₄	C₂²×C₃	1	2	yes	complemented
248	#546	—	2	16	no	—
249	C₂×#124	C₂²×C₃	1	2	yes	complemented
250	C₂×#123	C₂²×C₃	1	2	yes	complemented
251	C₂×#123	C₂²×C₃	1	2	yes	complemented
252	C₂×#123	C₂²×C₃	1	2	yes	complemented
253	C₂×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
254	C₂×#121	C₂²×C₃	1	2	yes	—
255	C₂×#121	C₂²×C₃	1	1	yes	characteristic
256	C₂×#121	C₂²×C₃	1	2	yes	complemented
257	C₂×#121	C₂²×C₃	1	2	yes	complemented
258	C₂×#120	C₂²×C₃	1	2	yes	—
259	C₂×#120	C₂²×C₃	1	2	yes	—
260	C₂×#120	C₂²×C₃	1	2	yes	—
261	C₂×#120	C₂²×C₃	1	2	yes	complemented
262	C₂×#120	C₂²×C₃	1	2	yes	complemented
263	C₂×#120	C₂²×C₃	1	2	yes	complemented
264	C₂×C₄×D₄	C₂²×C₃	1	2	yes	complemented
265	C₂×C₄×D₄	C₂²×C₃	1	2	yes	complemented
266	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
267	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
268	C₂²×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
269	C₂²×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
270	C₂²×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
271	#400	C₂²×C₃	1	2	yes	complemented
272	#399	C₂²×C₃	1	2	yes	complemented
273	#398	C₂²×C₃	1	1	yes	characteristic, complemented
274	#398	C₂²×C₃	1	1	yes	characteristic, complemented
275	#397	C₂²×C₃	1	2	yes	complemented
276	#397	C₂²×C₃	1	2	yes	complemented
277	#397	C₂²×C₃	1	2	yes	complemented
278	#396	C₂²×C₃	1	2	yes	complemented
279	#396	C₂²×C₃	1	2	yes	complemented
280	#396	C₂²×C₃	1	2	yes	complemented
281	#396	C₂²×C₃	1	2	yes	complemented
282	#394	C₂²×C₃	1	1	yes	characteristic
283	#394	C₂²×C₃	1	1	yes	characteristic
284	#394	C₂²×C₃	1	1	yes	characteristic, complemented
285	#394	C₂²×C₃	1	2	yes	complemented
286	#394	C₂²×C₃	1	2	yes	complemented
287	#394	C₂²×C₃	1	2	yes	complemented
288	#394	C₂²×C₃	1	1	yes	characteristic, complemented
289	#394	C₂²×C₃	1	2	yes	complemented
290	#394	C₂²×C₃	1	2	yes	complemented
291	#394	C₂²×C₃	1	2	yes	complemented
292	#394	C₂²×C₃	1	1	yes	characteristic, complemented
293	#394	C₂²×C₃	1	1	yes	characteristic, complemented
294	#394	C₂²×C₃	1	2	yes	complemented
295	#394	C₂²×C₃	1	2	yes	complemented
296	#394	C₂²×C₃	1	2	yes	complemented
297	#392	C₂²×C₃	1	2	yes	—
298	#392	C₂²×C₃	1	2	yes	—
299	#392	C₂²×C₃	1	2	yes	complemented
300	#392	C₂²×C₃	1	2	yes	complemented
301	#392	C₂²×C₃	1	2	yes	complemented
302	#392	C₂²×C₃	1	2	yes	complemented
303	#391	C₂²×C₃	1	1	yes	characteristic, complemented
304	#391	C₂²×C₃	1	1	yes	characteristic, complemented
305	#390	C₂²×C₃	1	1	yes	characteristic, complemented
306	#390	C₂²×C₃	1	1	yes	characteristic, complemented
307	#390	C₂²×C₃	1	2	yes	complemented
308	#390	C₂²×C₃	1	2	yes	complemented
309	#388	C₂²×C₃	1	2	yes	complemented
310	#388	C₂²×C₃	1	2	yes	complemented
311	#388	C₂²×C₃	1	2	yes	complemented
312	#388	C₂²×C₃	1	2	yes	complemented
313	#388	C₂²×C₃	1	2	yes	complemented
314	#387	C₂²×C₃	1	2	yes	complemented
315	#386	C₂²×C₃	1	2	yes	—
316	#386	C₂²×C₃	1	2	yes	complemented
317	#386	C₂²×C₃	1	2	yes	complemented
318	#386	C₂²×C₃	1	2	yes	complemented
319	#386	C₂²×C₃	1	2	yes	complemented
320	#386	C₂²×C₃	1	2	yes	complemented
321	#386	C₂²×C₃	1	2	yes	complemented
322	#386	C₂²×C₃	1	2	yes	complemented
323	#386	C₂²×C₃	1	2	yes	complemented
324	#385	C₂²×C₃	1	2	yes	complemented
325	#385	C₂²×C₃	1	2	yes	complemented
326	#381	C₂²×C₃	1	2	yes	complemented
327	#380	C₂²×C₃	1	2	yes	complemented
328	#380	C₂²×C₃	1	2	yes	complemented
329	#380	C₂²×C₃	1	1	yes	characteristic, complemented
330	#379	C₂²×C₃	1	2	yes	complemented
331	#379	C₂²×C₃	1	2	yes	complemented
332	C₂×#95	C₂²×C₃	1	1	yes	characteristic, complemented
333	C₂⁴×C₃	—	2	4	no	—
334	C₂⁴×C₃	—	2	4	no	—
335	C₂⁴×C₃	—	2	4	no	—
336	C₂⁴×C₃	—	2	4	no	—
337	C₂⁴×C₃	—	2	4	no	—
338	C₂⁴×C₃	—	2	4	no	—
339	C₂⁴×C₃	—	4	2	no	—
340	C₂⁴×C₃	—	4	2	no	—
341	C₂⁴×C₃	—	4	2	no	—
342	C₂⁴×C₃	—	4	2	no	—
343	C₂⁴×C₃	—	4	2	no	—
344	C₂⁴×C₃	—	4	2	no	—
345	C₂⁴×C₃	—	4	2	no	—
346	C₂⁴×C₃	—	4	2	no	—
347	C₂⁴×C₃	C₂⁴	1	2	yes	—
348	C₂⁴×C₃	C₂⁴	1	2	yes	—
349	C₂⁴×C₃	C₂⁴	1	2	yes	—
350	C₂⁴×C₃	C₂⁴	1	2	yes	—
351	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
352	C₃×#41	—	4	16	no	—
353	C₂×C₃×Q₈	—	4	1	no	—
354	C₂×C₃×Q₈	—	4	1	no	—
355	C₂×C₃×Q₈	C₂×D₄	1	4	yes	complemented
356	C₂×C₃×D₄	—	2	4	no	—
357	C₂×C₃×D₄	—	2	4	no	—
358	C₂×C₃×D₄	—	2	4	no	—
359	C₂×C₃×D₄	—	2	4	no	—
360	C₂×C₃×D₄	—	2	4	no	—
361	C₂×C₃×D₄	—	2	4	no	—
362	C₂×C₃×D₄	—	2	4	no	—
363	C₂×C₃×D₄	—	2	4	no	—
364	C₂×C₃×D₄	—	2	4	no	—
365	C₂×C₃×D₄	—	2	4	no	—
366	C₂×C₃×D₄	—	2	4	no	—
367	C₂×C₃×D₄	—	2	4	no	—
368	C₂×C₃×D₄	—	2	4	no	—
369	C₂×C₃×D₄	—	2	4	no	—
370	C₂×C₃×D₄	—	4	2	no	—
371	C₂×C₃×D₄	—	4	2	no	—
372	C₂×C₃×D₄	—	4	2	no	—
373	C₂×C₃×D₄	—	4	2	no	—
374	C₂×C₃×D₄	—	4	2	no	—
375	C₂×C₃×D₄	—	4	2	no	—
376	C₂×C₃×D₄	—	4	1	no	—
377	C₂×C₃×D₄	—	4	2	no	—
378	C₂×C₃×D₄	—	4	1	no	—
379	C₂×C₃×D₄	—	4	2	no	—
380	C₂×C₃×D₄	—	4	1	no	—
381	C₂×C₃×D₄	—	4	1	no	—
382	C₂×C₃×D₄	—	4	2	no	—
383	C₂×C₃×D₄	—	4	2	no	—
384	C₂×C₃×D₄	—	4	2	no	—
385	C₂×C₃×D₄	—	4	2	no	—
386	C₂×C₃×D₄	—	4	2	no	—
387	C₂×C₃×D₄	—	4	2	no	—
388	C₂×C₃×D₄	—	4	1	no	—
389	C₂×C₃×D₄	—	4	2	no	—
390	C₂×C₃×D₄	—	4	2	no	—
391	C₂×C₃×D₄	—	4	2	no	—
392	C₂×C₃×D₄	—	4	2	no	—
393	C₂×C₃×D₄	—	4	32	no	—
394	C₂×C₃×D₄	—	4	16	no	—
395	C₂×C₃×D₄	C₂×D₄	1	8	yes	—
396	C₂×C₃×D₄	C₂×D₄	1	4	yes	complemented
397	C₂²×C₃×C₄	—	2	2	no	—
398	C₂²×C₃×C₄	—	2	2	no	—
399	C₂²×C₃×C₄	—	2	2	no	—
400	C₂²×C₃×C₄	—	2	4	no	—
401	C₂²×C₃×C₄	—	2	4	no	—
402	C₂²×C₃×C₄	—	2	2	no	—
403	C₂²×C₃×C₄	—	2	4	no	—
404	C₂²×C₃×C₄	—	4	2	no	—
405	C₂²×C₃×C₄	—	4	2	no	—
406	C₂²×C₃×C₄	—	4	2	no	—
407	C₂²×C₃×C₄	—	4	2	no	—
408	C₂²×C₃×C₄	—	4	2	no	—
409	C₂²×C₃×C₄	—	4	2	no	—
410	C₂²×C₃×C₄	—	4	2	no	—
411	C₂²×C₃×C₄	—	4	2	no	—
412	C₂²×C₃×C₄	—	4	2	no	—
413	C₂²×C₃×C₄	—	4	2	no	—
414	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
415	C₂²×C₃×C₄	C₂×D₄	1	8	yes	complemented
416	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
417	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
418	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
419	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
420	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
421	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
422	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
423	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
424	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
425	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
426	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
427	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
428	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
429	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
430	C₃×C₄⋊C₄	—	2	4	no	—
431	C₃×C₄⋊C₄	—	2	4	no	—
432	C₃×C₄⋊C₄	—	2	4	no	—
433	C₃×C₄⋊C₄	—	2	4	no	—
434	C₃×C₄⋊C₄	—	4	1	no	—
435	C₃×C₄⋊C₄	—	4	1	no	—
436	C₃×C₄⋊C₄	—	4	1	no	—
437	C₃×C₄⋊C₄	—	4	1	no	—
438	C₃×C₄⋊C₄	—	4	2	no	—
439	C₃×C₄⋊C₄	—	4	2	no	—
440	C₃×C₄⋊C₄	—	4	1	no	—
441	C₃×C₄⋊C₄	—	4	2	no	—
442	C₃×C₄⋊C₄	—	4	2	no	—
443	C₃×C₂²⋊C₄	—	2	4	no	—
444	C₃×C₂²⋊C₄	—	2	4	no	—
445	C₃×C₂²⋊C₄	—	2	4	no	—
446	C₃×C₂²⋊C₄	—	2	4	no	—
447	C₃×C₂²⋊C₄	—	2	4	no	—
448	C₃×C₂²⋊C₄	—	2	4	no	—
449	C₃×C₂²⋊C₄	—	2	4	no	—
450	C₃×C₂²⋊C₄	—	2	4	no	—
451	C₃×C₂²⋊C₄	—	2	4	no	—
452	C₃×C₂²⋊C₄	—	2	4	no	—
453	C₃×C₂²⋊C₄	—	2	4	no	—
454	C₃×C₂²⋊C₄	—	2	4	no	—
455	C₃×C₂²⋊C₄	—	2	4	no	—
456	C₃×C₂²⋊C₄	—	2	4	no	—
457	C₃×C₂²⋊C₄	—	2	4	no	—
458	C₃×C₂²⋊C₄	—	2	4	no	—
459	C₃×C₂²⋊C₄	—	4	2	no	—
460	C₃×C₂²⋊C₄	—	4	2	no	—
461	C₃×C₂²⋊C₄	—	4	2	no	—
462	C₃×C₂²⋊C₄	—	4	2	no	—
463	C₃×C₂²⋊C₄	—	4	2	no	—
464	C₃×C₂²⋊C₄	—	4	2	no	—
465	C₃×C₂²⋊C₄	—	4	2	no	—
466	C₃×C₂²⋊C₄	—	4	2	no	—
467	C₃×C₂²⋊C₄	—	4	2	no	—
468	C₃×C₂²⋊C₄	—	4	2	no	—
469	C₃×C₂²⋊C₄	—	4	2	no	—
470	C₃×C₂²⋊C₄	—	4	2	no	—
471	C₃×C₂²⋊C₄	—	4	2	no	—
472	C₃×C₂²⋊C₄	—	4	2	no	—
473	C₃×C₂²⋊C₄	—	4	2	no	—
474	C₃×C₂²⋊C₄	—	4	2	no	—
475	C₃×C₄²	—	2	4	no	—
476	C₃×C₄²	—	4	1	no	—
477	C₃×C₄²	—	4	1	no	—
478	C₂⁵	C₂³×C₃	1	2	yes	—
479	C₂⁵	C₂³×C₃	1	2	yes	—
480	C₂×#41	—	4	2	no	—
481	C₂×#41	—	4	2	no	—
482	C₂×#41	C₃×D₄	1	8	yes	complemented
483	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
484	C₂²×D₄	—	2	8	no	—
485	C₂²×D₄	—	4	2	no	—
486	C₂²×D₄	—	4	4	no	—
487	C₂²×D₄	—	4	4	no	—
488	C₂²×D₄	—	4	4	no	—
489	C₂²×D₄	C₂³×C₃	1	2	yes	—
490	C₂²×D₄	C₂³×C₃	1	2	yes	—
491	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
492	C₂²×D₄	C₂³×C₃	1	2	yes	—
493	C₂²×D₄	C₂³×C₃	1	2	yes	—
494	C₂²×D₄	C₂³×C₃	1	2	yes	—
495	C₂²×D₄	C₂³×C₃	1	2	yes	—
496	C₂²×D₄	C₂³×C₃	1	2	yes	—
497	C₂²×D₄	C₂³×C₃	1	2	yes	—
498	C₂²×D₄	C₂³×C₃	1	2	yes	—
499	C₂²×D₄	C₂³×C₃	1	2	yes	—
500	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
501	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
502	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
503	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
504	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
505	C₂³×C₄	C₂³×C₃	1	2	yes	—
506	C₂³×C₄	C₂³×C₃	1	2	yes	—
507	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
508	C₂³×C₄	C₂³×C₃	1	2	yes	—
509	C₂³×C₄	C₂³×C₃	1	2	yes	—
510	#124	—	2	8	no	—
511	#123	—	2	8	no	—
512	#123	—	2	8	no	—
513	#123	—	4	4	no	—
514	C₂²⋊Q₈	—	2	8	no	—
515	#121	—	2	8	no	—
516	#121	—	2	8	no	—
517	#121	—	2	8	no	—
518	#121	—	4	2	no	—
519	#120	—	2	8	no	—
520	#120	—	2	8	no	—
521	#120	—	4	4	no	—
522	#120	—	4	4	no	—
523	#120	—	4	4	no	—
524	#120	—	4	4	no	—
525	C₄×D₄	—	2	8	no	—
526	C₄×D₄	—	2	8	no	—
527	#117	—	4	2	no	—
528	C₂×C₄⋊C₄	—	4	2	no	—
529	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
530	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
531	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
532	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
533	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
534	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
535	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
536	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
537	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
538	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
539	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
540	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
541	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
542	C₂×C₂²⋊C₄	—	2	8	no	—
543	C₂×C₂²⋊C₄	—	2	8	no	—
544	C₂×C₂²⋊C₄	—	4	4	no	—
545	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
546	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
547	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
548	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
549	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
550	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
551	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
552	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
553	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
554	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
555	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
556	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
557	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
558	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
559	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
560	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
561	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
562	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
563	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
564	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
565	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
566	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
567	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
568	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
569	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
570	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
571	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
572	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
573	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
574	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
575	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
576	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
577	C₂×C₄²	C₂³×C₃	1	2	yes	—
578	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
579	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
580	#95	C₂³×C₃	1	1	yes	characteristic
581	#95	C₂³×C₃	1	2	yes	—
582	#95	C₂³×C₃	1	1	yes	characteristic
583	#95	C₂³×C₃	1	2	yes	—
584	#95	C₂³×C₃	1	2	yes	—
585	#95	C₂³×C₃	1	2	yes	—
586	#95	C₂³×C₃	1	2	yes	—
587	#95	C₂³×C₃	1	1	yes	characteristic
588	#95	C₂³×C₃	1	1	yes	characteristic
589	#95	C₂³×C₃	1	2	yes	—
590	#95	C₂³×C₃	1	2	yes	—
591	#95	C₂³×C₃	1	2	yes	—
592	#95	C₂³×C₃	1	2	yes	—
593	#95	C₂³×C₃	1	2	yes	—
594	#95	C₂³×C₃	1	2	yes	—
595	C₂³×C₃	—	2	2	no	—
596	C₂³×C₃	—	2	2	no	—
597	C₂³×C₃	—	2	2	no	—
598	C₂³×C₃	—	2	2	no	—
599	C₂³×C₃	—	2	2	no	—
600	C₂³×C₃	—	2	2	no	—
601	C₂³×C₃	—	2	2	no	—
602	C₂³×C₃	—	2	2	no	—
603	C₂³×C₃	—	2	2	no	—
604	C₂³×C₃	—	2	2	no	—
605	C₂³×C₃	—	2	2	no	—
606	C₂³×C₃	—	2	2	no	—
607	C₂³×C₃	—	2	2	no	—
608	C₂³×C₃	—	2	2	no	—
609	C₂³×C₃	—	2	2	no	—
610	C₂³×C₃	—	2	2	no	—
611	C₂³×C₃	—	2	2	no	—
612	C₂³×C₃	—	2	2	no	—
613	C₂³×C₃	—	2	2	no	—
614	C₂³×C₃	—	2	2	no	—
615	C₂³×C₃	—	2	2	no	—
616	C₂³×C₃	—	2	2	no	—
617	C₂³×C₃	—	2	2	no	—
618	C₂³×C₃	—	2	2	no	—
619	C₂³×C₃	—	2	2	no	—
620	C₂³×C₃	—	2	2	no	—
621	C₂³×C₃	—	2	2	no	—
622	C₂³×C₃	—	2	2	no	—
623	C₂³×C₃	—	4	8	no	—
624	C₂³×C₃	—	4	8	no	—
625	C₂³×C₃	—	4	8	no	—
626	C₂³×C₃	—	4	8	no	—
627	C₂³×C₃	—	4	8	no	—
628	C₂³×C₃	—	4	8	no	—
629	C₂³×C₃	—	8	4	no	—
630	C₂³×C₃	—	8	4	no	—
631	C₂³×C₃	—	8	4	no	—
632	C₂³×C₃	—	8	4	no	—
633	C₂³×C₃	—	8	4	no	—
634	C₂³×C₃	—	8	4	no	—
635	C₂³×C₃	—	8	4	no	—
636	C₂³×C₃	—	8	4	no	—
637	C₂³×C₃	C₂²×D₄	1	4	yes	—
638	C₂³×C₃	C₂²×D₄	1	2	yes	—
639	C₂³×C₃	H(5,𝔽₂)	1	4	yes	—
640	C₂³×C₃	H(5,𝔽₂)	1	2	yes	—
641	C₂³×C₃	H(5,𝔽₂)	1	2	yes	—
642	C₂³×C₃	C₂⁵	1	1	yes	characteristic
643	C₃×Q₈	—	4	4	no	—
644	C₃×D₄	—	2	16	no	—
645	C₃×D₄	—	4	4	no	—
646	C₃×D₄	—	4	8	no	—
647	C₃×D₄	—	4	8	no	—
648	C₃×D₄	—	4	4	no	—
649	C₃×D₄	—	4	8	no	—
650	C₃×D₄	—	4	8	no	—
651	C₃×D₄	—	4	4	no	—
652	C₃×D₄	—	4	8	no	—
653	C₃×D₄	—	8	4	no	—
654	C₃×D₄	—	8	4	no	—
655	C₃×D₄	—	8	4	no	—
656	C₃×D₄	—	8	2	no	—
657	C₃×D₄	—	8	4	no	—
658	C₂×C₃×C₄	—	2	8	no	—
659	C₂×C₃×C₄	—	2	1	no	—
660	C₂×C₃×C₄	—	2	1	no	—
661	C₂×C₃×C₄	—	2	1	no	—
662	C₂×C₃×C₄	—	2	1	no	—
663	C₂×C₃×C₄	—	2	2	no	—
664	C₂×C₃×C₄	—	2	2	no	—
665	C₂×C₃×C₄	—	2	2	no	—
666	C₂×C₃×C₄	—	2	2	no	—
667	C₂×C₃×C₄	—	2	2	no	—
668	C₂×C₃×C₄	—	2	2	no	—
669	C₂×C₃×C₄	—	2	2	no	—
670	C₂×C₃×C₄	—	2	2	no	—
671	C₂×C₃×C₄	—	2	2	no	—
672	C₂×C₃×C₄	—	2	2	no	—
673	C₂×C₃×C₄	—	2	2	no	—
674	C₂×C₃×C₄	—	2	2	no	—
675	C₂×C₃×C₄	—	2	2	no	—
676	C₂×C₃×C₄	—	2	2	no	—
677	C₂×C₃×C₄	—	2	2	no	—
678	C₂×C₃×C₄	—	2	2	no	—
679	C₂×C₃×C₄	—	2	1	no	—
680	C₂×C₃×C₄	—	2	2	no	—
681	C₂×C₃×C₄	—	2	2	no	—
682	C₂×C₃×C₄	—	2	2	no	—
683	C₂×C₃×C₄	—	2	2	no	—
684	C₂×C₃×C₄	—	2	2	no	—
685	C₂×C₃×C₄	—	2	1	no	—
686	C₂×C₃×C₄	—	2	1	no	—
687	C₂×C₃×C₄	—	2	1	no	—
688	C₂×C₃×C₄	—	2	2	no	—
689	C₂×C₃×C₄	—	2	2	no	—
690	C₂×C₃×C₄	—	2	2	no	—
691	C₂×C₃×C₄	—	2	2	no	—
692	C₂×C₃×C₄	—	2	2	no	—
693	C₂×C₃×C₄	—	2	2	no	—
694	C₂×C₃×C₄	—	4	8	no	—
695	C₂×C₃×C₄	—	4	8	no	—
696	C₂×C₃×C₄	—	4	4	no	—
697	C₂×C₃×C₄	—	8	4	no	—
698	C₂×C₃×C₄	—	8	4	no	—
699	C₂×C₃×C₄	—	8	2	no	—
700	C₂×C₃×C₄	C₂²×D₄	1	4	yes	—
701	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
702	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
703	C₂⁴	—	2	4	no	—
704	C₂⁴	—	2	4	no	—
705	C₂⁴	—	2	4	no	—
706	C₂⁴	—	2	4	no	—
707	C₂⁴	—	2	4	no	—
708	C₂⁴	—	2	4	no	—
709	C₂⁴	—	4	2	no	—
710	C₂⁴	—	4	2	no	—
711	C₂⁴	—	4	2	no	—
712	C₂⁴	—	4	2	no	—
713	C₂⁴	—	4	2	no	—
714	C₂⁴	—	4	2	no	—
715	C₂⁴	—	4	2	no	—
716	C₂⁴	—	4	2	no	—
717	C₂⁴	C₂⁴×C₃	1	2	yes	—
718	C₂⁴	C₂⁴×C₃	1	2	yes	—
719	C₂⁴	C₂⁴×C₃	1	2	yes	—
720	C₂⁴	C₂⁴×C₃	1	2	yes	—
721	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
722	#41	—	4	16	no	—
723	C₂×Q₈	—	4	1	no	—
724	C₂×Q₈	—	4	1	no	—
725	C₂×Q₈	C₂×C₃×D₄	1	4	yes	complemented
726	C₂×D₄	—	2	4	no	—
727	C₂×D₄	—	2	4	no	—
728	C₂×D₄	—	2	4	no	—
729	C₂×D₄	—	2	4	no	—
730	C₂×D₄	—	2	4	no	—
731	C₂×D₄	—	2	4	no	—
732	C₂×D₄	—	2	4	no	—
733	C₂×D₄	—	2	4	no	—
734	C₂×D₄	—	2	4	no	—
735	C₂×D₄	—	2	4	no	—
736	C₂×D₄	—	2	4	no	—
737	C₂×D₄	—	2	4	no	—
738	C₂×D₄	—	2	4	no	—
739	C₂×D₄	—	2	4	no	—
740	C₂×D₄	—	4	2	no	—
741	C₂×D₄	—	4	2	no	—
742	C₂×D₄	—	4	2	no	—
743	C₂×D₄	—	4	2	no	—
744	C₂×D₄	—	4	2	no	—
745	C₂×D₄	—	4	2	no	—
746	C₂×D₄	—	4	1	no	—
747	C₂×D₄	—	4	2	no	—
748	C₂×D₄	—	4	1	no	—
749	C₂×D₄	—	4	1	no	—
750	C₂×D₄	—	4	1	no	—
751	C₂×D₄	—	4	2	no	—
752	C₂×D₄	—	4	2	no	—
753	C₂×D₄	—	4	2	no	—
754	C₂×D₄	—	4	2	no	—
755	C₂×D₄	—	4	2	no	—
756	C₂×D₄	—	4	2	no	—
757	C₂×D₄	—	4	2	no	—
758	C₂×D₄	—	4	1	no	—
759	C₂×D₄	—	4	2	no	—
760	C₂×D₄	—	4	2	no	—
761	C₂×D₄	—	4	2	no	—
762	C₂×D₄	—	4	2	no	—
763	C₂×D₄	—	4	32	no	—
764	C₂×D₄	—	4	16	no	—
765	C₂×D₄	C₂×C₃×D₄	1	8	yes	—
766	C₂×D₄	C₂×C₃×D₄	1	4	yes	complemented
767	C₂²×C₄	—	2	2	no	—
768	C₂²×C₄	—	2	2	no	—
769	C₂²×C₄	—	2	2	no	—
770	C₂²×C₄	—	2	4	no	—
771	C₂²×C₄	—	2	4	no	—
772	C₂²×C₄	—	2	2	no	—
773	C₂²×C₄	—	2	4	no	—
774	C₂²×C₄	—	4	2	no	—
775	C₂²×C₄	—	4	2	no	—
776	C₂²×C₄	—	4	2	no	—
777	C₂²×C₄	—	4	2	no	—
778	C₂²×C₄	—	4	2	no	—
779	C₂²×C₄	—	4	2	no	—
780	C₂²×C₄	—	4	2	no	—
781	C₂²×C₄	—	4	2	no	—
782	C₂²×C₄	—	4	2	no	—
783	C₂²×C₄	—	4	2	no	—
784	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
785	C₂²×C₄	C₂×C₃×D₄	1	8	yes	complemented
786	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
787	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
788	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
789	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
790	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
791	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
792	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
793	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
794	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
795	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
796	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
797	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
798	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
799	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
800	C₄⋊C₄	—	2	4	no	—
801	C₄⋊C₄	—	2	4	no	—
802	C₄⋊C₄	—	2	4	no	—
803	C₄⋊C₄	—	2	4	no	—
804	C₄⋊C₄	—	4	1	no	—
805	C₄⋊C₄	—	4	1	no	—
806	C₄⋊C₄	—	4	1	no	—
807	C₄⋊C₄	—	4	1	no	—
808	C₄⋊C₄	—	4	2	no	—
809	C₄⋊C₄	—	4	1	no	—
810	C₄⋊C₄	—	4	2	no	—
811	C₄⋊C₄	—	4	2	no	—
812	C₄⋊C₄	—	4	2	no	—
813	C₂²⋊C₄	—	2	4	no	—
814	C₂²⋊C₄	—	2	4	no	—
815	C₂²⋊C₄	—	2	4	no	—
816	C₂²⋊C₄	—	2	4	no	—
817	C₂²⋊C₄	—	2	4	no	—
818	C₂²⋊C₄	—	2	4	no	—
819	C₂²⋊C₄	—	2	4	no	—
820	C₂²⋊C₄	—	2	4	no	—
821	C₂²⋊C₄	—	2	4	no	—
822	C₂²⋊C₄	—	2	4	no	—
823	C₂²⋊C₄	—	2	4	no	—
824	C₂²⋊C₄	—	2	4	no	—
825	C₂²⋊C₄	—	2	4	no	—
826	C₂²⋊C₄	—	2	4	no	—
827	C₂²⋊C₄	—	2	4	no	—
828	C₂²⋊C₄	—	2	4	no	—
829	C₂²⋊C₄	—	4	2	no	—
830	C₂²⋊C₄	—	4	2	no	—
831	C₂²⋊C₄	—	4	2	no	—
832	C₂²⋊C₄	—	4	2	no	—
833	C₂²⋊C₄	—	4	2	no	—
834	C₂²⋊C₄	—	4	2	no	—
835	C₂²⋊C₄	—	4	2	no	—
836	C₂²⋊C₄	—	4	2	no	—
837	C₂²⋊C₄	—	4	2	no	—
838	C₂²⋊C₄	—	4	2	no	—
839	C₂²⋊C₄	—	4	2	no	—
840	C₂²⋊C₄	—	4	2	no	—
841	C₂²⋊C₄	—	4	2	no	—
842	C₂²⋊C₄	—	4	2	no	—
843	C₂²⋊C₄	—	4	2	no	—
844	C₂²⋊C₄	—	4	2	no	—
845	C₄²	—	2	4	no	—
846	C₄²	—	4	1	no	—
847	C₄²	—	4	1	no	—
848	C₂²×C₃	—	2	4	no	—
849	C₂²×C₃	—	2	2	no	—
850	C₂²×C₃	—	2	4	no	—
851	C₂²×C₃	—	2	2	no	—
852	C₂²×C₃	—	2	4	no	—
853	C₂²×C₃	—	2	4	no	—
854	C₂²×C₃	—	2	4	no	—
855	C₂²×C₃	—	2	4	no	—
856	C₂²×C₃	—	2	4	no	—
857	C₂²×C₃	—	2	4	no	—
858	C₂²×C₃	—	4	2	no	—
859	C₂²×C₃	—	4	2	no	—
860	C₂²×C₃	—	4	2	no	—
861	C₂²×C₃	—	4	2	no	—
862	C₂²×C₃	—	4	2	no	—
863	C₂²×C₃	—	4	2	no	—
864	C₂²×C₃	—	4	2	no	—
865	C₂²×C₃	—	4	2	no	—
866	C₂²×C₃	—	4	2	no	—
867	C₂²×C₃	—	4	2	no	—
868	C₂²×C₃	—	4	2	no	—
869	C₂²×C₃	—	4	2	no	—
870	C₂²×C₃	—	4	2	no	—
871	C₂²×C₃	—	4	2	no	—
872	C₂²×C₃	—	4	2	no	—
873	C₂²×C₃	—	4	2	no	—
874	C₂²×C₃	—	4	2	no	—
875	C₂²×C₃	—	4	2	no	—
876	C₂²×C₃	—	4	2	no	—
877	C₂²×C₃	—	4	2	no	—
878	C₂²×C₃	—	4	2	no	—
879	C₂²×C₃	—	4	2	no	—
880	C₂²×C₃	—	8	16	no	—
881	C₂²×C₃	—	8	16	no	—
882	C₂²×C₃	#534	1	4	yes	—
883	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
884	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
885	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
886	C₂²×C₃	C₂×H(5,𝔽₂)	1	2	yes	—
887	C₂²×C₃	#585	1	2	yes	—
888	C₃×C₄	—	2	2	no	—
889	C₃×C₄	—	2	2	no	—
890	C₃×C₄	—	2	4	no	—
891	C₃×C₄	—	4	2	no	—
892	C₃×C₄	—	4	2	no	—
893	C₃×C₄	—	4	2	no	—
894	C₃×C₄	—	4	2	no	—
895	C₃×C₄	—	4	2	no	—
896	C₃×C₄	—	4	1	no	—
897	C₃×C₄	—	4	1	no	—
898	C₃×C₄	—	4	1	no	—
899	C₃×C₄	—	4	1	no	—
900	C₃×C₄	—	4	2	no	—
901	C₃×C₄	—	4	2	no	—
902	C₂³	—	2	2	no	—
903	C₂³	—	2	2	no	—
904	C₂³	—	2	2	no	—
905	C₂³	—	2	2	no	—
906	C₂³	—	2	2	no	—
907	C₂³	—	2	2	no	—
908	C₂³	—	2	2	no	—
909	C₂³	—	2	2	no	—
910	C₂³	—	2	2	no	—
911	C₂³	—	2	2	no	—
912	C₂³	—	2	2	no	—
913	C₂³	—	2	2	no	—
914	C₂³	—	2	2	no	—
915	C₂³	—	2	2	no	—
916	C₂³	—	2	2	no	—
917	C₂³	—	2	2	no	—
918	C₂³	—	2	2	no	—
919	C₂³	—	2	2	no	—
920	C₂³	—	2	2	no	—
921	C₂³	—	2	2	no	—
922	C₂³	—	2	2	no	—
923	C₂³	—	2	2	no	—
924	C₂³	—	2	2	no	—
925	C₂³	—	2	2	no	—
926	C₂³	—	2	2	no	—
927	C₂³	—	2	2	no	—
928	C₂³	—	2	2	no	—
929	C₂³	—	2	2	no	—
930	C₂³	—	4	8	no	—
931	C₂³	—	4	8	no	—
932	C₂³	—	4	8	no	—
933	C₂³	—	4	8	no	—
934	C₂³	—	4	8	no	—
935	C₂³	—	4	8	no	—
936	C₂³	—	8	4	no	—
937	C₂³	—	8	4	no	—
938	C₂³	—	8	4	no	—
939	C₂³	—	8	4	no	—
940	C₂³	—	8	4	no	—
941	C₂³	—	8	4	no	—
942	C₂³	—	8	4	no	—
943	C₂³	—	8	4	no	—
944	C₂³	C₂²×C₃×D₄	1	4	yes	—
945	C₂³	C₂²×C₃×D₄	1	2	yes	—
946	C₂³	C₃×H(5,𝔽₂)	1	4	yes	—
947	C₂³	C₃×H(5,𝔽₂)	1	2	yes	—
948	C₂³	C₃×H(5,𝔽₂)	1	2	yes	—
949	C₂³	C₂⁵×C₃	1	1	yes	characteristic
950	Q₈	—	4	4	no	—
951	D₄	—	2	16	no	—
952	D₄	—	4	4	no	—
953	D₄	—	4	8	no	—
954	D₄	—	4	4	no	—
955	D₄	—	4	8	no	—
956	D₄	—	4	8	no	—
957	D₄	—	4	8	no	—
958	D₄	—	4	4	no	—
959	D₄	—	4	8	no	—
960	D₄	—	8	4	no	—
961	D₄	—	8	4	no	—
962	D₄	—	8	4	no	—
963	D₄	—	8	2	no	—
964	D₄	—	8	4	no	—
965	C₂×C₄	—	2	1	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	2	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	8	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	2	2	no	—
975	C₂×C₄	—	2	2	no	—
976	C₂×C₄	—	2	2	no	—
977	C₂×C₄	—	2	2	no	—
978	C₂×C₄	—	2	2	no	—
979	C₂×C₄	—	2	2	no	—
980	C₂×C₄	—	2	2	no	—
981	C₂×C₄	—	2	2	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	2	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	2	no	—
988	C₂×C₄	—	2	2	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	2	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	2	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	4	8	no	—
1002	C₂×C₄	—	4	8	no	—
1003	C₂×C₄	—	4	4	no	—
1004	C₂×C₄	—	8	4	no	—
1005	C₂×C₄	—	8	4	no	—
1006	C₂×C₄	—	8	2	no	—
1007	C₂×C₄	C₂²×C₃×D₄	1	4	yes	—
1008	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1009	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1010	C₂×C₃	—	2	4	no	—
1011	C₂×C₃	—	4	4	no	—
1012	C₂×C₃	—	4	4	no	—
1013	C₂×C₃	—	8	2	no	—
1014	C₂×C₃	—	8	2	no	—
1015	C₂×C₃	C₂×#534	1	1	yes	characteristic
1016	C₂×C₃	#3488	1	2	yes	—
1017	C₂×C₃	#3532	1	1	yes	characteristic
1018	C₂×C₃	#3534	1	2	yes	—
1019	C₂×C₃	#3545	1	1	yes	characteristic
1020	C₂²	—	2	4	no	—
1021	C₂²	—	2	2	no	—
1022	C₂²	—	2	4	no	—
1023	C₂²	—	2	2	no	—
1024	C₂²	—	2	4	no	—
1025	C₂²	—	2	4	no	—
1026	C₂²	—	2	4	no	—
1027	C₂²	—	2	4	no	—
1028	C₂²	—	2	4	no	—
1029	C₂²	—	2	4	no	—
1030	C₂²	—	4	2	no	—
1031	C₂²	—	4	2	no	—
1032	C₂²	—	4	2	no	—
1033	C₂²	—	4	2	no	—
1034	C₂²	—	4	2	no	—
1035	C₂²	—	4	2	no	—
1036	C₂²	—	4	2	no	—
1037	C₂²	—	4	2	no	—
1038	C₂²	—	4	2	no	—
1039	C₂²	—	4	2	no	—
1040	C₂²	—	4	2	no	—
1041	C₂²	—	4	2	no	—
1042	C₂²	—	4	2	no	—
1043	C₂²	—	4	2	no	—
1044	C₂²	—	4	2	no	—
1045	C₂²	—	4	2	no	—
1046	C₂²	—	4	2	no	—
1047	C₂²	—	4	2	no	—
1048	C₂²	—	4	2	no	—
1049	C₂²	—	4	2	no	—
1050	C₂²	—	4	2	no	—
1051	C₂²	—	4	2	no	—
1052	C₂²	—	8	16	no	—
1053	C₂²	—	8	16	no	—
1054	C₂²	C₃×#534	1	4	yes	—
1055	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1056	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1057	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1058	C₂²	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1059	C₂²	C₃×#585	1	2	yes	—
1060	C₄	—	2	2	no	—
1061	C₄	—	2	2	no	—
1062	C₄	—	2	4	no	—
1063	C₄	—	4	2	no	—
1064	C₄	—	4	2	no	—
1065	C₄	—	4	2	no	—
1066	C₄	—	4	2	no	—
1067	C₄	—	4	2	no	—
1068	C₄	—	4	1	no	—
1069	C₄	—	4	1	no	—
1070	C₄	—	4	1	no	—
1071	C₄	—	4	1	no	—
1072	C₄	—	4	2	no	—
1073	C₄	—	4	2	no	—
1074	C₃	#41981	1	1	yes	characteristic, direct product factor, Sylow
1075	C₂	—	2	4	no	—
1076	C₂	—	4	4	no	—
1077	C₂	—	4	4	no	—
1078	C₂	—	8	2	no	—
1079	C₂	—	8	2	no	—
1080	C₂	C₂×C₃×#534	1	1	yes	characteristic
1081	C₂	C₃×#3488	1	2	yes	—
1082	C₂	C₃×#3532	1	1	yes	characteristic
1083	C₂	C₃×#3534	1	2	yes	—
1084	C₂	C₃×#3545	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#546	C₂	semidirect
2. C₃×#2813	C₂	semidirect
3. C₃×#2733	C₂	semidirect
4. C₃×#2730	C₂	semidirect
5. C₃×#2728	C₂	semidirect
6. C₃×#2699	C₂	semidirect
7. C₃×#2679	C₂	semidirect
8. C₃×#2678	C₂	semidirect
9. C₃×#2630	C₂	semidirect
10. C₃×#2618	C₂	semidirect
11. C₃×#2617	C₂	semidirect
12. C₃×#2534	C₂	semidirect
13. C₃×#2444	C₂	semidirect
14. C₃×#2418	C₂	semidirect
15. C₃×#2411	C₂	semidirect
16. C₃×#2410	C₂	semidirect
17. C₃×#2403	C₂	semidirect
18. C₂×C₃×#394	C₂	semidirect
19. C₃×#2311	C₂	semidirect
20. #41981	C₃	direct (N × H)
23. C₂³×C₃×D₄	C₂²	semidirect
25. C₂×C₃×#124	C₂²	semidirect
26. C₂×C₃×#123	C₂²	semidirect
27. C₂×C₃×#123	C₂²	semidirect
28. C₂×C₃×#123	C₂²	semidirect
29. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
32. C₂×C₃×#121	C₂²	semidirect
33. C₂×C₃×#121	C₂²	semidirect
37. C₂×C₃×#120	C₂²	semidirect
38. C₂×C₃×#120	C₂²	semidirect
39. C₂×C₃×#120	C₂²	semidirect
40. C₂×C₃×C₄×D₄	C₂²	semidirect
41. C₂×C₃×C₄×D₄	C₂²	semidirect
42. C₂×C₃×#117	C₂²	semidirect
43. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
44. C₂²×C₃×C₂²⋊C₄	C₂²	semidirect
45. C₂²×C₃×C₂²⋊C₄	C₂²	semidirect
46. C₂²×C₃×C₂²⋊C₄	C₂²	semidirect
47. C₃×#400	C₂²	semidirect
48. C₃×#399	C₂²	semidirect
49. C₃×#398	C₂²	semidirect
50. C₃×#398	C₂²	semidirect
51. C₃×#397	C₂²	semidirect
52. C₃×#397	C₂²	semidirect
53. C₃×#397	C₂²	semidirect
54. C₃×#396	C₂²	semidirect
55. C₃×#396	C₂²	semidirect
56. C₃×#396	C₂²	semidirect
57. C₃×#396	C₂²	semidirect
60. C₃×#394	C₂²	semidirect
61. C₃×#394	C₂²	semidirect
62. C₃×#394	C₂²	semidirect
63. C₃×#394	C₂²	semidirect
64. C₃×#394	C₂²	semidirect
65. C₃×#394	C₂²	semidirect
66. C₃×#394	C₂²	semidirect
67. C₃×#394	C₂²	semidirect
68. C₃×#394	C₂²	semidirect
69. C₃×#394	C₂²	semidirect
70. C₃×#394	C₂²	semidirect
71. C₃×#394	C₂²	semidirect
72. C₃×#394	C₂²	semidirect
75. C₃×#392	C₂²	semidirect
76. C₃×#392	C₂²	semidirect
77. C₃×#392	C₂²	semidirect
78. C₃×#392	C₂²	semidirect
79. C₃×#391	C₂²	semidirect
80. C₃×#391	C₂²	semidirect
81. C₃×#390	C₂²	semidirect
82. C₃×#390	C₂²	semidirect
83. C₃×#390	C₂²	semidirect
84. C₃×#390	C₂²	semidirect
85. C₃×#388	C₂²	semidirect
86. C₃×#388	C₂²	semidirect
87. C₃×#388	C₂²	semidirect
88. C₃×#388	C₂²	semidirect
89. C₃×#388	C₂²	semidirect
90. C₃×#387	C₂²	semidirect
92. C₃×#386	C₂²	semidirect
93. C₃×#386	C₂²	semidirect
94. C₃×#386	C₂²	semidirect
95. C₃×#386	C₂²	semidirect
96. C₃×#386	C₂²	semidirect
97. C₃×#386	C₂²	semidirect
98. C₃×#386	C₂²	semidirect
99. C₃×#386	C₂²	semidirect
100. C₃×#385	C₂²	semidirect
101. C₃×#385	C₂²	semidirect
102. C₃×#381	C₂²	semidirect
103. C₃×#380	C₂²	semidirect
104. C₃×#380	C₂²	semidirect
105. C₃×#380	C₂²	semidirect
106. C₃×#379	C₂²	semidirect
107. C₃×#379	C₂²	semidirect
108. C₂×C₃×#95	C₂²	semidirect
109. C₂×#546	C₂×C₃	semidirect
110. #2813	C₂×C₃	semidirect
111. #2733	C₂×C₃	semidirect
112. #2730	C₂×C₃	semidirect
113. #2728	C₂×C₃	semidirect
114. #2699	C₂×C₃	semidirect
115. #2679	C₂×C₃	semidirect
116. #2678	C₂×C₃	semidirect
117. #2630	C₂×C₃	semidirect
118. #2618	C₂×C₃	semidirect
119. #2617	C₂×C₃	semidirect
120. #2534	C₂×C₃	semidirect
121. #2444	C₂×C₃	semidirect
122. #2418	C₂×C₃	semidirect
123. #2411	C₂×C₃	semidirect
124. #2410	C₂×C₃	semidirect
125. #2403	C₂×C₃	semidirect
126. C₂×#394	C₂×C₃	semidirect
127. #2311	C₂×C₃	semidirect
132. C₂×C₃×#41	D₄	semidirect
247. C₂³×D₄	C₂²×C₃	semidirect
249. C₂×#124	C₂²×C₃	semidirect
250. C₂×#123	C₂²×C₃	semidirect
251. C₂×#123	C₂²×C₃	semidirect
252. C₂×#123	C₂²×C₃	semidirect
253. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
256. C₂×#121	C₂²×C₃	semidirect
257. C₂×#121	C₂²×C₃	semidirect
261. C₂×#120	C₂²×C₃	semidirect
262. C₂×#120	C₂²×C₃	semidirect
263. C₂×#120	C₂²×C₃	semidirect
264. C₂×C₄×D₄	C₂²×C₃	semidirect
265. C₂×C₄×D₄	C₂²×C₃	semidirect
266. C₂×#117	C₂²×C₃	semidirect
267. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
268. C₂²×C₂²⋊C₄	C₂²×C₃	semidirect
269. C₂²×C₂²⋊C₄	C₂²×C₃	semidirect
270. C₂²×C₂²⋊C₄	C₂²×C₃	semidirect
271. #400	C₂²×C₃	semidirect
272. #399	C₂²×C₃	semidirect
273. #398	C₂²×C₃	semidirect
274. #398	C₂²×C₃	semidirect
275. #397	C₂²×C₃	semidirect
276. #397	C₂²×C₃	semidirect
277. #397	C₂²×C₃	semidirect
278. #396	C₂²×C₃	semidirect
279. #396	C₂²×C₃	semidirect
280. #396	C₂²×C₃	semidirect
281. #396	C₂²×C₃	semidirect
284. #394	C₂²×C₃	semidirect
285. #394	C₂²×C₃	semidirect
286. #394	C₂²×C₃	semidirect
287. #394	C₂²×C₃	semidirect
288. #394	C₂²×C₃	semidirect
289. #394	C₂²×C₃	semidirect
290. #394	C₂²×C₃	semidirect
291. #394	C₂²×C₃	semidirect
292. #394	C₂²×C₃	semidirect
293. #394	C₂²×C₃	semidirect
294. #394	C₂²×C₃	semidirect
295. #394	C₂²×C₃	semidirect
296. #394	C₂²×C₃	semidirect
299. #392	C₂²×C₃	semidirect
300. #392	C₂²×C₃	semidirect
301. #392	C₂²×C₃	semidirect
302. #392	C₂²×C₃	semidirect
303. #391	C₂²×C₃	semidirect
304. #391	C₂²×C₃	semidirect
305. #390	C₂²×C₃	semidirect
306. #390	C₂²×C₃	semidirect
307. #390	C₂²×C₃	semidirect
308. #390	C₂²×C₃	semidirect
309. #388	C₂²×C₃	semidirect
310. #388	C₂²×C₃	semidirect
311. #388	C₂²×C₃	semidirect
312. #388	C₂²×C₃	semidirect
313. #388	C₂²×C₃	semidirect
314. #387	C₂²×C₃	semidirect
316. #386	C₂²×C₃	semidirect
317. #386	C₂²×C₃	semidirect
318. #386	C₂²×C₃	semidirect
319. #386	C₂²×C₃	semidirect
320. #386	C₂²×C₃	semidirect
321. #386	C₂²×C₃	semidirect
322. #386	C₂²×C₃	semidirect
323. #386	C₂²×C₃	semidirect
324. #385	C₂²×C₃	semidirect
325. #385	C₂²×C₃	semidirect
326. #381	C₂²×C₃	semidirect
327. #380	C₂²×C₃	semidirect
328. #380	C₂²×C₃	semidirect
329. #380	C₂²×C₃	semidirect
330. #379	C₂²×C₃	semidirect
331. #379	C₂²×C₃	semidirect
332. C₂×#95	C₂²×C₃	semidirect
355. C₂×C₃×Q₈	C₂×D₄	semidirect
396. C₂×C₃×D₄	C₂×D₄	semidirect
415. C₂²×C₃×C₄	C₂×D₄	semidirect
482. C₂×#41	C₃×D₄	semidirect
725. C₂×Q₈	C₂×C₃×D₄	semidirect
766. C₂×D₄	C₂×C₃×D₄	semidirect
785. C₂²×C₄	C₂×C₃×D₄	semidirect
1074. C₃	#41981	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×#546	2
C₃×#2813	2
C₃×#2733	2
C₃×#2730	2
C₃×#2728	2
C₃×#2699	2
C₃×#2679	2
C₃×#2678	2
C₃×#2630	2
C₃×#2618	2
C₃×#2617	2
C₃×#2534	2
C₃×#2444	2
C₃×#2418	2
C₃×#2411	2
C₃×#2410	2
C₃×#2403	2
C₂×C₃×#394	2
C₃×#2311	2
#41981	3

Subgroups — C3×#41981 #10660588

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#41981 #10660588