Subgroups — C₃×#41985 #10660592

Order 768.

2202 conjugacy classes of subgroups.

The subgroup lattice has 1080 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×#551	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2816	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2813	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#2727	C₂	1	2	yes	maximal, complemented
6	C₃×#2702	C₂	1	2	yes	maximal, complemented
7	C₃×#2701	C₂	1	2	yes	maximal, complemented
8	C₃×#2678	C₂	1	2	yes	maximal, complemented
9	C₃×#2664	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2635	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#2625	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#2623	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#2617	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#2611	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#2603	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2486	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#2482	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#2470	C₂	1	2	yes	maximal, complemented
19	C₃×#2459	C₂	1	2	yes	maximal, complemented
20	C₃×#2455	C₂	1	2	yes	maximal, complemented
21	C₃×#2418	C₂	1	2	yes	maximal, complemented
22	C₃×#2392	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2319	C₂	1	1	yes	maximal, characteristic, complemented
24	#41985	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₃×#553	—	2	8	no	—
26	C₃×#551	—	2	8	no	—
27	C₂×C₃×#126	C₂²	1	1	yes	characteristic
28	C₂×C₃×#126	C₂²	1	1	yes	characteristic
29	C₂×C₃×#126	C₂²	1	2	yes	complemented
30	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₃×#124	C₂²	1	1	yes	characteristic
32	C₂×C₃×#123	C₂²	1	1	yes	characteristic
33	C₂×C₃×#123	C₂²	1	1	yes	characteristic
34	C₂×C₃×#123	C₂²	1	1	yes	characteristic
35	C₂×C₃×#123	C₂²	1	2	yes	—
36	C₂×C₃×#123	C₂²	1	2	yes	—
37	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
38	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
39	C₂×C₃×#121	C₂²	1	1	yes	characteristic
40	C₂×C₃×#121	C₂²	1	2	yes	—
41	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₃×#120	C₂²	1	1	yes	characteristic
43	C₂×C₃×#120	C₂²	1	2	yes	—
44	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
45	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
46	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
47	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₃×C₄×D₄	C₂²	1	2	yes	complemented
49	C₂×C₃×#117	C₂²	1	1	yes	characteristic
50	C₂×C₃×#117	C₂²	1	1	yes	characteristic
51	C₂×C₃×#117	C₂²	1	1	yes	characteristic
52	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
53	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
54	C₂²×C₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
55	C₃×#400	C₂²	1	2	yes	complemented
56	C₃×#400	C₂²	1	1	yes	characteristic, complemented
57	C₃×#400	C₂²	1	1	yes	characteristic, complemented
58	C₃×#399	C₂²	1	2	yes	—
59	C₃×#399	C₂²	1	1	yes	characteristic
60	C₃×#399	C₂²	1	1	yes	characteristic
61	C₃×#399	C₂²	1	2	yes	complemented
62	C₃×#398	C₂²	1	1	yes	characteristic, complemented
63	C₃×#398	C₂²	1	1	yes	characteristic, complemented
64	C₃×#398	C₂²	1	1	yes	characteristic, complemented
65	C₃×#398	C₂²	1	2	yes	complemented
66	C₃×#398	C₂²	1	1	yes	characteristic, complemented
67	C₃×#397	C₂²	1	1	yes	characteristic
68	C₃×#397	C₂²	1	1	yes	characteristic
69	C₃×#397	C₂²	1	1	yes	characteristic
70	C₃×#397	C₂²	1	2	yes	—
71	C₃×#397	C₂²	1	2	yes	—
72	C₃×#397	C₂²	1	1	yes	characteristic
73	C₃×#396	C₂²	1	2	yes	—
74	C₃×#396	C₂²	1	2	yes	complemented
75	C₃×#396	C₂²	1	2	yes	complemented
76	C₃×#394	C₂²	1	2	yes	—
77	C₃×#394	C₂²	1	2	yes	—
78	C₃×#394	C₂²	1	2	yes	—
79	C₃×#394	C₂²	1	2	yes	—
80	C₃×#394	C₂²	1	2	yes	—
81	C₃×#394	C₂²	1	2	yes	—
82	C₃×#394	C₂²	1	2	yes	complemented
83	C₃×#394	C₂²	1	1	yes	characteristic, complemented
84	C₃×#394	C₂²	1	1	yes	characteristic, complemented
85	C₃×#394	C₂²	1	2	yes	complemented
86	C₃×#393	C₂²	1	2	yes	complemented
87	C₃×#392	C₂²	1	1	yes	characteristic
88	C₃×#392	C₂²	1	1	yes	characteristic
89	C₃×#392	C₂²	1	2	yes	—
90	C₃×#392	C₂²	1	2	yes	—
91	C₃×#391	C₂²	1	2	yes	complemented
92	C₃×#390	C₂²	1	2	yes	—
93	C₃×#390	C₂²	1	2	yes	—
94	C₃×#389	C₂²	1	2	yes	complemented
95	C₃×#389	C₂²	1	2	yes	complemented
96	C₃×#389	C₂²	1	2	yes	complemented
97	C₃×#389	C₂²	1	2	yes	complemented
98	C₃×#389	C₂²	1	2	yes	complemented
99	C₃×#388	C₂²	1	2	yes	—
100	C₃×#388	C₂²	1	2	yes	—
101	C₃×#388	C₂²	1	2	yes	—
102	C₃×#388	C₂²	1	2	yes	—
103	C₃×#388	C₂²	1	2	yes	—
104	C₃×#388	C₂²	1	2	yes	complemented
105	C₃×#388	C₂²	1	2	yes	complemented
106	C₃×#388	C₂²	1	2	yes	complemented
107	C₃×#387	C₂²	1	2	yes	complemented
108	C₃×#386	C₂²	1	2	yes	—
109	C₃×#386	C₂²	1	2	yes	—
110	C₃×#386	C₂²	1	2	yes	—
111	C₃×#386	C₂²	1	2	yes	—
112	C₃×#385	C₂²	1	2	yes	—
113	C₃×#385	C₂²	1	2	yes	—
114	C₃×#385	C₂²	1	2	yes	complemented
115	C₃×#385	C₂²	1	2	yes	complemented
116	C₃×#381	C₂²	1	1	yes	characteristic
117	C₃×#381	C₂²	1	1	yes	characteristic, complemented
118	C₃×#381	C₂²	1	2	yes	complemented
119	C₃×#380	C₂²	1	1	yes	characteristic
120	C₃×#380	C₂²	1	2	yes	—
121	C₃×#380	C₂²	1	1	yes	characteristic, complemented
122	C₃×#379	C₂²	1	2	yes	—
123	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
124	C₃×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
125	C₃×#376	C₂²	1	1	yes	characteristic, complemented
126	C₂×#553	C₂×C₃	1	1	yes	characteristic, complemented
127	C₂×#551	C₂×C₃	1	1	yes	characteristic, complemented
128	#2816	C₂×C₃	1	1	yes	characteristic, complemented
129	#2813	C₂×C₃	1	1	yes	characteristic, complemented
130	#2727	C₂×C₃	1	2	yes	complemented
131	#2702	C₂×C₃	1	2	yes	complemented
132	#2701	C₂×C₃	1	2	yes	complemented
133	#2678	C₂×C₃	1	2	yes	complemented
134	#2664	C₂×C₃	1	1	yes	characteristic, complemented
135	#2635	C₂×C₃	1	1	yes	characteristic, complemented
136	#2625	C₂×C₃	1	1	yes	characteristic, complemented
137	#2623	C₂×C₃	1	1	yes	characteristic, complemented
138	#2617	C₂×C₃	1	1	yes	characteristic, complemented
139	#2611	C₂×C₃	1	1	yes	characteristic, complemented
140	#2603	C₂×C₃	1	1	yes	characteristic, complemented
141	#2486	C₂×C₃	1	1	yes	characteristic, complemented
142	#2482	C₂×C₃	1	1	yes	characteristic, complemented
143	#2470	C₂×C₃	1	2	yes	complemented
144	#2459	C₂×C₃	1	2	yes	complemented
145	#2455	C₂×C₃	1	2	yes	complemented
146	#2418	C₂×C₃	1	2	yes	complemented
147	#2392	C₂×C₃	1	1	yes	characteristic, complemented
148	#2319	C₂×C₃	1	1	yes	characteristic, complemented
149	C₂⁵×C₃	C₂³	1	1	yes	characteristic
150	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
151	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
152	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
153	C₂²×C₃×D₄	C₂³	1	2	yes	—
154	C₂²×C₃×D₄	C₂³	1	2	yes	—
155	C₂²×C₃×D₄	C₂³	1	2	yes	—
156	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
157	C₂²×C₃×D₄	C₂³	1	2	yes	—
158	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
159	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
160	C₂³×C₃×C₄	C₂³	1	2	yes	—
161	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
162	C₂³×C₃×C₄	C₂³	1	2	yes	—
163	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
164	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
165	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
166	C₃×#126	—	2	4	no	—
167	C₃×#126	—	2	8	no	—
168	C₃×#126	—	2	4	no	—
169	C₃×#125	—	2	4	no	—
170	C₃×#124	—	2	4	no	—
171	C₃×#123	—	2	4	no	—
172	C₃×#123	—	2	4	no	—
173	C₃×#123	—	2	4	no	—
174	C₃×#123	—	2	8	no	—
175	C₃×#123	—	4	4	no	—
176	C₃×C₂²⋊Q₈	—	2	4	no	—
177	C₃×C₂²⋊Q₈	—	2	4	no	—
178	C₃×#121	—	2	8	no	—
179	C₃×#121	—	2	4	no	—
180	C₃×#121	—	2	4	no	—
181	C₃×#120	—	2	4	no	—
182	C₃×#120	—	4	4	no	—
183	C₃×C₄×D₄	—	2	4	no	—
184	C₃×C₄×D₄	—	2	8	no	—
185	C₃×C₄×D₄	—	2	4	no	—
186	C₃×C₄×D₄	—	4	4	no	—
187	C₃×C₄×D₄	D₄	1	8	yes	complemented
188	C₃×#117	—	2	4	no	—
189	C₃×#117	—	2	4	no	—
190	C₃×#117	—	2	4	no	—
191	C₂×C₃×C₄⋊C₄	—	2	4	no	—
192	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
193	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
194	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
196	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
206	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
207	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
208	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
209	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
210	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
211	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
212	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
213	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
214	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
216	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
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	1	yes	characteristic
221	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
228	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
232	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
236	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
237	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
238	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
239	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
240	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
241	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
242	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
243	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
244	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
245	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
246	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
247	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
248	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
249	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
252	C₂×C₃×C₄²	C₂³	1	2	yes	—
253	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
254	C₂×C₃×C₄²	C₂³	1	2	yes	—
255	C₂×C₃×C₄²	C₂³	1	2	yes	—
256	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
257	C₃×#95	C₂³	1	1	yes	characteristic
258	C₃×#95	C₂³	1	1	yes	characteristic
259	C₃×#95	C₂³	1	2	yes	—
260	C₃×#95	C₂³	1	2	yes	—
261	C₃×#95	C₂³	1	2	yes	—
262	C₃×#95	C₂³	1	1	yes	characteristic
263	C₃×#95	C₂³	1	1	yes	characteristic
264	C₃×#95	C₂³	1	2	yes	—
265	C₃×#95	C₂³	1	2	yes	—
266	C₃×#95	C₂³	1	2	yes	—
267	C₃×#95	C₂³	1	2	yes	—
268	C₃×#95	C₂³	1	2	yes	—
269	C₃×#95	C₂³	1	2	yes	—
270	C₃×#95	C₂³	1	2	yes	—
271	C₃×#95	C₂³	1	2	yes	—
272	C₃×#95	C₂³	1	2	yes	—
273	C₃×#95	C₂³	1	2	yes	—
274	C₃×#95	C₂³	1	2	yes	—
275	C₃×#95	C₂³	1	2	yes	—
276	#553	—	2	8	no	—
277	#551	—	2	8	no	—
278	C₂×#126	C₂²×C₃	1	1	yes	characteristic
279	C₂×#126	C₂²×C₃	1	1	yes	characteristic
280	C₂×#126	C₂²×C₃	1	2	yes	complemented
281	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
282	C₂×#124	C₂²×C₃	1	1	yes	characteristic
283	C₂×#123	C₂²×C₃	1	1	yes	characteristic
284	C₂×#123	C₂²×C₃	1	2	yes	—
285	C₂×#123	C₂²×C₃	1	1	yes	characteristic
286	C₂×#123	C₂²×C₃	1	1	yes	characteristic
287	C₂×#123	C₂²×C₃	1	2	yes	—
288	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
289	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
290	C₂×#121	C₂²×C₃	1	1	yes	characteristic
291	C₂×#121	C₂²×C₃	1	2	yes	—
292	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
293	C₂×#120	C₂²×C₃	1	1	yes	characteristic
294	C₂×#120	C₂²×C₃	1	2	yes	—
295	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
296	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
297	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
298	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
299	C₂×C₄×D₄	C₂²×C₃	1	2	yes	complemented
300	C₂×#117	C₂²×C₃	1	1	yes	characteristic
301	C₂×#117	C₂²×C₃	1	1	yes	characteristic
302	C₂×#117	C₂²×C₃	1	1	yes	characteristic
303	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
304	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
305	C₂²×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
306	#400	C₂²×C₃	1	1	yes	characteristic, complemented
307	#400	C₂²×C₃	1	2	yes	complemented
308	#400	C₂²×C₃	1	1	yes	characteristic, complemented
309	#399	C₂²×C₃	1	1	yes	characteristic
310	#399	C₂²×C₃	1	2	yes	—
311	#399	C₂²×C₃	1	1	yes	characteristic
312	#399	C₂²×C₃	1	2	yes	complemented
313	#398	C₂²×C₃	1	1	yes	characteristic, complemented
314	#398	C₂²×C₃	1	1	yes	characteristic, complemented
315	#398	C₂²×C₃	1	1	yes	characteristic, complemented
316	#398	C₂²×C₃	1	1	yes	characteristic, complemented
317	#398	C₂²×C₃	1	2	yes	complemented
318	#397	C₂²×C₃	1	1	yes	characteristic
319	#397	C₂²×C₃	1	1	yes	characteristic
320	#397	C₂²×C₃	1	1	yes	characteristic
321	#397	C₂²×C₃	1	2	yes	—
322	#397	C₂²×C₃	1	2	yes	—
323	#397	C₂²×C₃	1	1	yes	characteristic
324	#396	C₂²×C₃	1	2	yes	—
325	#396	C₂²×C₃	1	2	yes	complemented
326	#396	C₂²×C₃	1	2	yes	complemented
327	#394	C₂²×C₃	1	2	yes	—
328	#394	C₂²×C₃	1	2	yes	—
329	#394	C₂²×C₃	1	2	yes	—
330	#394	C₂²×C₃	1	2	yes	—
331	#394	C₂²×C₃	1	2	yes	—
332	#394	C₂²×C₃	1	2	yes	—
333	#394	C₂²×C₃	1	1	yes	characteristic, complemented
334	#394	C₂²×C₃	1	1	yes	characteristic, complemented
335	#394	C₂²×C₃	1	2	yes	complemented
336	#394	C₂²×C₃	1	2	yes	complemented
337	#393	C₂²×C₃	1	2	yes	complemented
338	#392	C₂²×C₃	1	1	yes	characteristic
339	#392	C₂²×C₃	1	1	yes	characteristic
340	#392	C₂²×C₃	1	2	yes	—
341	#392	C₂²×C₃	1	2	yes	—
342	#391	C₂²×C₃	1	2	yes	complemented
343	#390	C₂²×C₃	1	2	yes	—
344	#390	C₂²×C₃	1	2	yes	—
345	#389	C₂²×C₃	1	2	yes	complemented
346	#389	C₂²×C₃	1	2	yes	complemented
347	#389	C₂²×C₃	1	2	yes	complemented
348	#389	C₂²×C₃	1	2	yes	complemented
349	#389	C₂²×C₃	1	2	yes	complemented
350	#388	C₂²×C₃	1	2	yes	—
351	#388	C₂²×C₃	1	2	yes	—
352	#388	C₂²×C₃	1	2	yes	—
353	#388	C₂²×C₃	1	2	yes	—
354	#388	C₂²×C₃	1	2	yes	—
355	#388	C₂²×C₃	1	2	yes	complemented
356	#388	C₂²×C₃	1	2	yes	complemented
357	#388	C₂²×C₃	1	2	yes	complemented
358	#387	C₂²×C₃	1	2	yes	complemented
359	#386	C₂²×C₃	1	2	yes	—
360	#386	C₂²×C₃	1	2	yes	—
361	#386	C₂²×C₃	1	2	yes	—
362	#386	C₂²×C₃	1	2	yes	—
363	#385	C₂²×C₃	1	2	yes	—
364	#385	C₂²×C₃	1	2	yes	—
365	#385	C₂²×C₃	1	2	yes	complemented
366	#385	C₂²×C₃	1	2	yes	complemented
367	#381	C₂²×C₃	1	1	yes	characteristic
368	#381	C₂²×C₃	1	1	yes	characteristic, complemented
369	#381	C₂²×C₃	1	2	yes	complemented
370	#380	C₂²×C₃	1	1	yes	characteristic
371	#380	C₂²×C₃	1	2	yes	—
372	#380	C₂²×C₃	1	1	yes	characteristic, complemented
373	#379	C₂²×C₃	1	2	yes	—
374	C₄×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
375	C₄×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
376	#376	C₂²×C₃	1	1	yes	characteristic, complemented
377	C₂⁴×C₃	—	2	2	no	—
378	C₂⁴×C₃	—	2	2	no	—
379	C₂⁴×C₃	—	4	2	no	—
380	C₂⁴×C₃	—	4	1	no	—
381	C₂⁴×C₃	—	4	2	no	—
382	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
383	C₂⁴×C₃	C₂⁴	1	2	yes	—
384	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
385	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
387	C₂×C₃×Q₈	—	2	2	no	—
388	C₂×C₃×Q₈	—	4	2	no	—
389	C₂×C₃×D₄	—	2	2	no	—
390	C₂×C₃×D₄	—	2	4	no	—
391	C₂×C₃×D₄	—	2	4	no	—
392	C₂×C₃×D₄	—	2	2	no	—
393	C₂×C₃×D₄	—	2	2	no	—
394	C₂×C₃×D₄	—	2	4	no	—
395	C₂×C₃×D₄	—	2	2	no	—
396	C₂×C₃×D₄	—	4	2	no	—
397	C₂×C₃×D₄	—	4	2	no	—
398	C₂×C₃×D₄	—	4	1	no	—
399	C₂×C₃×D₄	—	4	2	no	—
400	C₂×C₃×D₄	—	4	2	no	—
401	C₂×C₃×D₄	—	4	2	no	—
402	C₂×C₃×D₄	—	4	2	no	—
403	C₂×C₃×D₄	—	4	2	no	—
404	C₂×C₃×D₄	—	4	2	no	—
405	C₂×C₃×D₄	—	4	2	no	—
406	C₂×C₃×D₄	—	4	2	no	—
407	C₂×C₃×D₄	—	4	2	no	—
408	C₂×C₃×D₄	—	4	2	no	—
409	C₂×C₃×D₄	C₂×D₄	1	4	yes	—
410	C₂²×C₃×C₄	—	2	2	no	—
411	C₂²×C₃×C₄	—	2	2	no	—
412	C₂²×C₃×C₄	—	2	4	no	—
413	C₂²×C₃×C₄	—	2	2	no	—
414	C₂²×C₃×C₄	—	2	2	no	—
415	C₂²×C₃×C₄	—	2	4	no	—
416	C₂²×C₃×C₄	—	4	2	no	—
417	C₂²×C₃×C₄	—	4	2	no	—
418	C₂²×C₃×C₄	—	4	1	no	—
419	C₂²×C₃×C₄	—	4	2	no	—
420	C₂²×C₃×C₄	—	4	2	no	—
421	C₂²×C₃×C₄	—	4	2	no	—
422	C₂²×C₃×C₄	—	4	2	no	—
423	C₂²×C₃×C₄	—	4	2	no	—
424	C₂²×C₃×C₄	—	4	2	no	—
425	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
426	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
427	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
428	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
429	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
430	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
431	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
432	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
433	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
434	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
435	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
436	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
437	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
438	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
439	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
440	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
441	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
442	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
443	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
444	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
445	C₃×C₄⋊C₄	—	2	2	no	—
446	C₃×C₄⋊C₄	—	2	2	no	—
447	C₃×C₄⋊C₄	—	2	4	no	—
448	C₃×C₄⋊C₄	—	2	2	no	—
449	C₃×C₄⋊C₄	—	2	2	no	—
450	C₃×C₄⋊C₄	—	2	2	no	—
451	C₃×C₄⋊C₄	—	2	2	no	—
452	C₃×C₄⋊C₄	—	2	2	no	—
453	C₃×C₄⋊C₄	—	2	2	no	—
454	C₃×C₄⋊C₄	—	2	4	no	—
455	C₃×C₄⋊C₄	—	2	4	no	—
456	C₃×C₄⋊C₄	—	2	2	no	—
457	C₃×C₄⋊C₄	—	2	2	no	—
458	C₃×C₄⋊C₄	—	4	2	no	—
459	C₃×C₄⋊C₄	—	4	2	no	—
460	C₃×C₄⋊C₄	—	4	2	no	—
461	C₃×C₄⋊C₄	—	4	2	no	—
462	C₃×C₄⋊C₄	—	4	2	no	—
463	C₃×C₄⋊C₄	—	4	2	no	—
464	C₃×C₄⋊C₄	—	4	2	no	—
465	C₃×C₄⋊C₄	—	4	2	no	—
466	C₃×C₄⋊C₄	—	4	2	no	—
467	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
468	C₃×C₂²⋊C₄	—	2	2	no	—
469	C₃×C₂²⋊C₄	—	2	2	no	—
470	C₃×C₂²⋊C₄	—	2	4	no	—
471	C₃×C₂²⋊C₄	—	2	2	no	—
472	C₃×C₂²⋊C₄	—	2	2	no	—
473	C₃×C₂²⋊C₄	—	2	4	no	—
474	C₃×C₂²⋊C₄	—	2	4	no	—
475	C₃×C₂²⋊C₄	—	2	2	no	—
476	C₃×C₂²⋊C₄	—	2	2	no	—
477	C₃×C₂²⋊C₄	—	2	2	no	—
478	C₃×C₂²⋊C₄	—	2	2	no	—
479	C₃×C₂²⋊C₄	—	2	2	no	—
480	C₃×C₂²⋊C₄	—	2	2	no	—
481	C₃×C₂²⋊C₄	—	2	2	no	—
482	C₃×C₂²⋊C₄	—	2	4	no	—
483	C₃×C₂²⋊C₄	—	2	4	no	—
484	C₃×C₂²⋊C₄	—	2	2	no	—
485	C₃×C₂²⋊C₄	—	2	4	no	—
486	C₃×C₂²⋊C₄	—	4	2	no	—
487	C₃×C₂²⋊C₄	—	4	2	no	—
488	C₃×C₂²⋊C₄	—	4	2	no	—
489	C₃×C₂²⋊C₄	—	4	2	no	—
490	C₃×C₂²⋊C₄	—	4	2	no	—
491	C₃×C₂²⋊C₄	—	4	2	no	—
492	C₃×C₂²⋊C₄	—	4	2	no	—
493	C₃×C₂²⋊C₄	—	4	2	no	—
494	C₃×C₂²⋊C₄	—	4	2	no	—
495	C₃×C₂²⋊C₄	—	4	2	no	—
496	C₃×C₂²⋊C₄	—	4	2	no	—
497	C₃×C₂²⋊C₄	—	4	2	no	—
498	C₃×C₂²⋊C₄	—	4	2	no	—
499	C₃×C₂²⋊C₄	—	4	2	no	—
500	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
501	C₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
502	C₃×C₄²	—	2	2	no	—
503	C₃×C₄²	—	2	2	no	—
504	C₃×C₄²	—	2	4	no	—
505	C₃×C₄²	—	4	2	no	—
506	C₃×C₄²	—	4	2	no	—
507	C₃×C₄²	C₂×D₄	1	4	yes	—
508	C₂⁵	C₂³×C₃	1	1	yes	characteristic
509	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
510	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
511	C₂²×D₄	C₂³×C₃	1	2	yes	—
512	C₂²×D₄	C₂³×C₃	1	2	yes	—
513	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
514	C₂²×D₄	C₂³×C₃	1	2	yes	—
515	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
516	C₂²×D₄	C₂³×C₃	1	2	yes	—
517	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
518	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
519	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
520	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
521	C₂³×C₄	C₂³×C₃	1	2	yes	—
522	C₂³×C₄	C₂³×C₃	1	2	yes	—
523	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
524	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
525	#126	—	2	4	no	—
526	#126	—	2	8	no	—
527	#126	—	2	4	no	—
528	#125	—	2	4	no	—
529	#124	—	2	4	no	—
530	#123	—	2	4	no	—
531	#123	—	2	4	no	—
532	#123	—	2	4	no	—
533	#123	—	2	8	no	—
534	#123	—	4	4	no	—
535	C₂²⋊Q₈	—	2	4	no	—
536	C₂²⋊Q₈	—	2	4	no	—
537	#121	—	2	8	no	—
538	#121	—	2	4	no	—
539	#121	—	2	4	no	—
540	#120	—	2	4	no	—
541	#120	—	4	4	no	—
542	C₄×D₄	—	2	4	no	—
543	C₄×D₄	—	2	8	no	—
544	C₄×D₄	—	2	4	no	—
545	C₄×D₄	—	4	4	no	—
546	C₄×D₄	C₃×D₄	1	8	yes	complemented
547	#117	—	2	4	no	—
548	#117	—	2	4	no	—
549	#117	—	2	4	no	—
550	C₂×C₄⋊C₄	—	2	4	no	—
551	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
552	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
553	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
554	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
555	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
556	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
557	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
558	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
559	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
560	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
561	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
562	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
563	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
564	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
565	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
566	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
567	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
568	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
569	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
570	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
571	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
572	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
573	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
574	C₂×C₂²⋊C₄	—	2	4	no	—
575	C₂×C₂²⋊C₄	—	2	4	no	—
576	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
577	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
578	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
579	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
580	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
581	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
582	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
583	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
584	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
585	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
586	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
587	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
588	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
589	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
590	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
591	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
592	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
593	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
594	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
595	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
596	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
597	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
598	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
599	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
600	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
601	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
602	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
603	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
604	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
605	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
606	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
607	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
608	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
609	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
610	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
611	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
612	C₂×C₄²	C₂³×C₃	1	2	yes	—
613	C₂×C₄²	C₂³×C₃	1	2	yes	—
614	C₂×C₄²	C₂³×C₃	1	2	yes	—
615	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
616	#95	C₂³×C₃	1	1	yes	characteristic
617	#95	C₂³×C₃	1	1	yes	characteristic
618	#95	C₂³×C₃	1	2	yes	—
619	#95	C₂³×C₃	1	2	yes	—
620	#95	C₂³×C₃	1	2	yes	—
621	#95	C₂³×C₃	1	1	yes	characteristic
622	#95	C₂³×C₃	1	1	yes	characteristic
623	#95	C₂³×C₃	1	2	yes	—
624	#95	C₂³×C₃	1	2	yes	—
625	#95	C₂³×C₃	1	2	yes	—
626	#95	C₂³×C₃	1	2	yes	—
627	#95	C₂³×C₃	1	2	yes	—
628	#95	C₂³×C₃	1	2	yes	—
629	#95	C₂³×C₃	1	2	yes	—
630	#95	C₂³×C₃	1	2	yes	—
631	#95	C₂³×C₃	1	2	yes	—
632	#95	C₂³×C₃	1	2	yes	—
633	#95	C₂³×C₃	1	2	yes	—
634	#95	C₂³×C₃	1	2	yes	—
635	C₂³×C₃	—	2	1	no	—
636	C₂³×C₃	—	2	1	no	—
637	C₂³×C₃	—	2	1	no	—
638	C₂³×C₃	—	2	2	no	—
639	C₂³×C₃	—	2	2	no	—
640	C₂³×C₃	—	2	2	no	—
641	C₂³×C₃	—	2	1	no	—
642	C₂³×C₃	—	2	2	no	—
643	C₂³×C₃	—	2	1	no	—
644	C₂³×C₃	—	2	2	no	—
645	C₂³×C₃	—	2	2	no	—
646	C₂³×C₃	—	2	1	no	—
647	C₂³×C₃	—	2	1	no	—
648	C₂³×C₃	—	2	2	no	—
649	C₂³×C₃	—	2	1	no	—
650	C₂³×C₃	—	2	2	no	—
651	C₂³×C₃	—	2	1	no	—
652	C₂³×C₃	—	2	2	no	—
653	C₂³×C₃	—	2	2	no	—
654	C₂³×C₃	—	2	2	no	—
655	C₂³×C₃	—	2	2	no	—
656	C₂³×C₃	—	2	2	no	—
657	C₂³×C₃	—	2	2	no	—
658	C₂³×C₃	—	2	2	no	—
659	C₂³×C₃	—	4	4	no	—
660	C₂³×C₃	—	4	4	no	—
661	C₂³×C₃	—	8	2	no	—
662	C₂³×C₃	—	8	4	no	—
663	C₂³×C₃	—	8	4	no	—
664	C₂³×C₃	C₂²×D₄	1	2	yes	—
665	C₂³×C₃	C₂²×D₄	1	2	yes	—
666	C₂³×C₃	H(5,𝔽₂)	1	2	yes	—
667	C₂³×C₃	C₂⁵	1	1	yes	characteristic
668	C₃×Q₈	—	8	2	no	—
669	C₃×D₄	—	4	4	no	—
670	C₃×D₄	—	4	4	no	—
671	C₃×D₄	—	4	4	no	—
672	C₃×D₄	—	4	8	no	—
673	C₃×D₄	—	4	8	no	—
674	C₃×D₄	—	8	2	no	—
675	C₃×D₄	—	8	4	no	—
676	C₃×D₄	—	8	4	no	—
677	C₂×C₃×C₄	—	2	1	no	—
678	C₂×C₃×C₄	—	2	2	no	—
679	C₂×C₃×C₄	—	2	2	no	—
680	C₂×C₃×C₄	—	2	2	no	—
681	C₂×C₃×C₄	—	2	1	no	—
682	C₂×C₃×C₄	—	2	2	no	—
683	C₂×C₃×C₄	—	2	1	no	—
684	C₂×C₃×C₄	—	2	2	no	—
685	C₂×C₃×C₄	—	2	1	no	—
686	C₂×C₃×C₄	—	2	2	no	—
687	C₂×C₃×C₄	—	2	1	no	—
688	C₂×C₃×C₄	—	2	1	no	—
689	C₂×C₃×C₄	—	2	1	no	—
690	C₂×C₃×C₄	—	2	1	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	—	2	2	no	—
695	C₂×C₃×C₄	—	2	2	no	—
696	C₂×C₃×C₄	—	2	2	no	—
697	C₂×C₃×C₄	—	2	1	no	—
698	C₂×C₃×C₄	—	2	1	no	—
699	C₂×C₃×C₄	—	2	2	no	—
700	C₂×C₃×C₄	—	2	2	no	—
701	C₂×C₃×C₄	—	2	2	no	—
702	C₂×C₃×C₄	—	2	2	no	—
703	C₂×C₃×C₄	—	2	2	no	—
704	C₂×C₃×C₄	—	2	1	no	—
705	C₂×C₃×C₄	—	2	2	no	—
706	C₂×C₃×C₄	—	2	2	no	—
707	C₂×C₃×C₄	—	2	2	no	—
708	C₂×C₃×C₄	—	2	2	no	—
709	C₂×C₃×C₄	—	2	2	no	—
710	C₂×C₃×C₄	—	2	2	no	—
711	C₂×C₃×C₄	—	2	2	no	—
712	C₂×C₃×C₄	—	2	2	no	—
713	C₂×C₃×C₄	—	2	2	no	—
714	C₂×C₃×C₄	—	2	2	no	—
715	C₂×C₃×C₄	—	2	1	no	—
716	C₂×C₃×C₄	—	2	2	no	—
717	C₂×C₃×C₄	—	2	2	no	—
718	C₂×C₃×C₄	—	4	4	no	—
719	C₂×C₃×C₄	—	4	4	no	—
720	C₂×C₃×C₄	—	4	4	no	—
721	C₂×C₃×C₄	—	4	4	no	—
722	C₂×C₃×C₄	—	8	2	no	—
723	C₂×C₃×C₄	—	8	4	no	—
724	C₂×C₃×C₄	—	8	4	no	—
725	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
726	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
727	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
728	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
729	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
730	C₂⁴	—	2	2	no	—
731	C₂⁴	—	2	2	no	—
732	C₂⁴	—	4	2	no	—
733	C₂⁴	—	4	1	no	—
734	C₂⁴	—	4	2	no	—
735	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
736	C₂⁴	C₂⁴×C₃	1	2	yes	—
737	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
738	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
739	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
740	C₂×Q₈	—	2	2	no	—
741	C₂×Q₈	—	4	2	no	—
742	C₂×D₄	—	2	2	no	—
743	C₂×D₄	—	2	4	no	—
744	C₂×D₄	—	2	4	no	—
745	C₂×D₄	—	2	2	no	—
746	C₂×D₄	—	2	2	no	—
747	C₂×D₄	—	2	4	no	—
748	C₂×D₄	—	2	2	no	—
749	C₂×D₄	—	4	2	no	—
750	C₂×D₄	—	4	2	no	—
751	C₂×D₄	—	4	1	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	2	no	—
759	C₂×D₄	—	4	2	no	—
760	C₂×D₄	—	4	2	no	—
761	C₂×D₄	—	4	2	no	—
762	C₂×D₄	C₂×C₃×D₄	1	4	yes	—
763	C₂²×C₄	—	2	2	no	—
764	C₂²×C₄	—	2	2	no	—
765	C₂²×C₄	—	2	4	no	—
766	C₂²×C₄	—	2	2	no	—
767	C₂²×C₄	—	2	2	no	—
768	C₂²×C₄	—	2	4	no	—
769	C₂²×C₄	—	4	2	no	—
770	C₂²×C₄	—	4	2	no	—
771	C₂²×C₄	—	4	1	no	—
772	C₂²×C₄	—	4	2	no	—
773	C₂²×C₄	—	4	2	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	C₂×C₃×D₄	1	4	yes	—
779	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
780	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
781	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
782	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
783	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
784	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
785	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
786	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
787	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
788	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
789	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
790	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
791	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
792	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
793	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
794	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
795	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
796	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
797	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
798	C₄⋊C₄	—	2	2	no	—
799	C₄⋊C₄	—	2	2	no	—
800	C₄⋊C₄	—	2	4	no	—
801	C₄⋊C₄	—	2	2	no	—
802	C₄⋊C₄	—	2	2	no	—
803	C₄⋊C₄	—	2	2	no	—
804	C₄⋊C₄	—	2	2	no	—
805	C₄⋊C₄	—	2	2	no	—
806	C₄⋊C₄	—	2	2	no	—
807	C₄⋊C₄	—	2	4	no	—
808	C₄⋊C₄	—	2	4	no	—
809	C₄⋊C₄	—	2	2	no	—
810	C₄⋊C₄	—	2	2	no	—
811	C₄⋊C₄	—	4	2	no	—
812	C₄⋊C₄	—	4	2	no	—
813	C₄⋊C₄	—	4	2	no	—
814	C₄⋊C₄	—	4	2	no	—
815	C₄⋊C₄	—	4	2	no	—
816	C₄⋊C₄	—	4	2	no	—
817	C₄⋊C₄	—	4	2	no	—
818	C₄⋊C₄	—	4	2	no	—
819	C₄⋊C₄	—	4	2	no	—
820	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
821	C₂²⋊C₄	—	2	2	no	—
822	C₂²⋊C₄	—	2	2	no	—
823	C₂²⋊C₄	—	2	4	no	—
824	C₂²⋊C₄	—	2	2	no	—
825	C₂²⋊C₄	—	2	2	no	—
826	C₂²⋊C₄	—	2	4	no	—
827	C₂²⋊C₄	—	2	4	no	—
828	C₂²⋊C₄	—	2	2	no	—
829	C₂²⋊C₄	—	2	2	no	—
830	C₂²⋊C₄	—	2	2	no	—
831	C₂²⋊C₄	—	2	2	no	—
832	C₂²⋊C₄	—	2	2	no	—
833	C₂²⋊C₄	—	2	2	no	—
834	C₂²⋊C₄	—	2	2	no	—
835	C₂²⋊C₄	—	2	4	no	—
836	C₂²⋊C₄	—	2	4	no	—
837	C₂²⋊C₄	—	2	2	no	—
838	C₂²⋊C₄	—	2	4	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	C₂²⋊C₄	—	4	2	no	—
846	C₂²⋊C₄	—	4	2	no	—
847	C₂²⋊C₄	—	4	2	no	—
848	C₂²⋊C₄	—	4	2	no	—
849	C₂²⋊C₄	—	4	2	no	—
850	C₂²⋊C₄	—	4	2	no	—
851	C₂²⋊C₄	—	4	2	no	—
852	C₂²⋊C₄	—	4	2	no	—
853	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
854	C₂²⋊C₄	C₂×C₃×D₄	1	4	yes	—
855	C₄²	—	2	2	no	—
856	C₄²	—	2	2	no	—
857	C₄²	—	2	4	no	—
858	C₄²	—	4	2	no	—
859	C₄²	—	4	2	no	—
860	C₄²	C₂×C₃×D₄	1	4	yes	—
861	C₂²×C₃	—	2	2	no	—
862	C₂²×C₃	—	2	2	no	—
863	C₂²×C₃	—	2	2	no	—
864	C₂²×C₃	—	2	2	no	—
865	C₂²×C₃	—	2	2	no	—
866	C₂²×C₃	—	2	2	no	—
867	C₂²×C₃	—	2	2	no	—
868	C₂²×C₃	—	2	4	no	—
869	C₂²×C₃	—	4	1	no	—
870	C₂²×C₃	—	4	1	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	1	no	—
878	C₂²×C₃	—	4	2	no	—
879	C₂²×C₃	—	4	1	no	—
880	C₂²×C₃	—	4	2	no	—
881	C₂²×C₃	—	4	1	no	—
882	C₂²×C₃	—	4	2	no	—
883	C₂²×C₃	—	4	2	no	—
884	C₂²×C₃	—	4	2	no	—
885	C₂²×C₃	—	4	2	no	—
886	C₂²×C₃	—	4	2	no	—
887	C₂²×C₃	—	4	2	no	—
888	C₂²×C₃	—	8	8	no	—
889	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
890	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
891	C₂²×C₃	#585	1	2	yes	—
892	C₂²×C₃	#585	1	2	yes	—
893	C₂²×C₃	#585	1	1	yes	characteristic
894	C₃×C₄	—	2	2	no	—
895	C₃×C₄	—	2	2	no	—
896	C₃×C₄	—	2	2	no	—
897	C₃×C₄	—	2	2	no	—
898	C₃×C₄	—	2	2	no	—
899	C₃×C₄	—	4	1	no	—
900	C₃×C₄	—	4	1	no	—
901	C₃×C₄	—	4	2	no	—
902	C₃×C₄	—	4	1	no	—
903	C₃×C₄	—	4	1	no	—
904	C₃×C₄	—	4	1	no	—
905	C₃×C₄	—	4	2	no	—
906	C₃×C₄	—	4	2	no	—
907	C₃×C₄	—	4	1	no	—
908	C₃×C₄	—	4	2	no	—
909	C₃×C₄	—	4	2	no	—
910	C₃×C₄	—	4	2	no	—
911	C₃×C₄	—	4	2	no	—
912	C₂³	—	2	1	no	—
913	C₂³	—	2	1	no	—
914	C₂³	—	2	1	no	—
915	C₂³	—	2	2	no	—
916	C₂³	—	2	2	no	—
917	C₂³	—	2	2	no	—
918	C₂³	—	2	1	no	—
919	C₂³	—	2	2	no	—
920	C₂³	—	2	1	no	—
921	C₂³	—	2	2	no	—
922	C₂³	—	2	2	no	—
923	C₂³	—	2	1	no	—
924	C₂³	—	2	1	no	—
925	C₂³	—	2	2	no	—
926	C₂³	—	2	1	no	—
927	C₂³	—	2	2	no	—
928	C₂³	—	2	1	no	—
929	C₂³	—	2	2	no	—
930	C₂³	—	2	2	no	—
931	C₂³	—	2	2	no	—
932	C₂³	—	2	2	no	—
933	C₂³	—	2	2	no	—
934	C₂³	—	2	2	no	—
935	C₂³	—	2	2	no	—
936	C₂³	—	4	4	no	—
937	C₂³	—	4	4	no	—
938	C₂³	—	8	2	no	—
939	C₂³	—	8	4	no	—
940	C₂³	—	8	4	no	—
941	C₂³	C₂²×C₃×D₄	1	2	yes	—
942	C₂³	C₂²×C₃×D₄	1	2	yes	—
943	C₂³	C₃×H(5,𝔽₂)	1	2	yes	—
944	C₂³	C₂⁵×C₃	1	1	yes	characteristic
945	Q₈	—	8	2	no	—
946	D₄	—	4	4	no	—
947	D₄	—	4	4	no	—
948	D₄	—	4	4	no	—
949	D₄	—	4	8	no	—
950	D₄	—	4	8	no	—
951	D₄	—	8	2	no	—
952	D₄	—	8	4	no	—
953	D₄	—	8	4	no	—
954	C₂×C₄	—	2	1	no	—
955	C₂×C₄	—	2	2	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	2	2	no	—
958	C₂×C₄	—	2	1	no	—
959	C₂×C₄	—	2	2	no	—
960	C₂×C₄	—	2	1	no	—
961	C₂×C₄	—	2	2	no	—
962	C₂×C₄	—	2	1	no	—
963	C₂×C₄	—	2	2	no	—
964	C₂×C₄	—	2	1	no	—
965	C₂×C₄	—	2	1	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	2	no	—
969	C₂×C₄	—	2	2	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	2	1	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	1	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	2	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	2	no	—
994	C₂×C₄	—	2	2	no	—
995	C₂×C₄	—	4	4	no	—
996	C₂×C₄	—	4	4	no	—
997	C₂×C₄	—	4	4	no	—
998	C₂×C₄	—	4	4	no	—
999	C₂×C₄	—	8	2	no	—
1000	C₂×C₄	—	8	4	no	—
1001	C₂×C₄	—	8	4	no	—
1002	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1003	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1004	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1005	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1006	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1007	C₂×C₃	—	4	2	no	—
1008	C₂×C₃	—	4	2	no	—
1009	C₂×C₃	—	4	2	no	—
1010	C₂×C₃	—	8	2	no	—
1011	C₂×C₃	—	8	1	no	—
1012	C₂×C₃	#3449	1	1	yes	characteristic
1013	C₂×C₃	#3485	1	1	yes	characteristic
1014	C₂×C₃	#3488	1	1	yes	characteristic
1015	C₂×C₃	#3533	1	2	yes	—
1016	C₂×C₃	#3566	1	2	yes	—
1017	C₂²	—	2	2	no	—
1018	C₂²	—	2	2	no	—
1019	C₂²	—	2	2	no	—
1020	C₂²	—	2	2	no	—
1021	C₂²	—	2	2	no	—
1022	C₂²	—	2	2	no	—
1023	C₂²	—	2	2	no	—
1024	C₂²	—	2	4	no	—
1025	C₂²	—	4	1	no	—
1026	C₂²	—	4	1	no	—
1027	C₂²	—	4	2	no	—
1028	C₂²	—	4	2	no	—
1029	C₂²	—	4	2	no	—
1030	C₂²	—	4	2	no	—
1031	C₂²	—	4	2	no	—
1032	C₂²	—	4	2	no	—
1033	C₂²	—	4	1	no	—
1034	C₂²	—	4	2	no	—
1035	C₂²	—	4	1	no	—
1036	C₂²	—	4	2	no	—
1037	C₂²	—	4	1	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	—	8	8	no	—
1045	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1046	C₂²	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1047	C₂²	C₃×#585	1	2	yes	—
1048	C₂²	C₃×#585	1	2	yes	—
1049	C₂²	C₃×#585	1	1	yes	characteristic
1050	C₄	—	2	2	no	—
1051	C₄	—	2	2	no	—
1052	C₄	—	2	2	no	—
1053	C₄	—	2	2	no	—
1054	C₄	—	2	2	no	—
1055	C₄	—	4	1	no	—
1056	C₄	—	4	1	no	—
1057	C₄	—	4	2	no	—
1058	C₄	—	4	1	no	—
1059	C₄	—	4	1	no	—
1060	C₄	—	4	1	no	—
1061	C₄	—	4	2	no	—
1062	C₄	—	4	2	no	—
1063	C₄	—	4	1	no	—
1064	C₄	—	4	2	no	—
1065	C₄	—	4	2	no	—
1066	C₄	—	4	2	no	—
1067	C₄	—	4	2	no	—
1068	C₃	#41985	1	1	yes	characteristic, direct product factor, Sylow
1069	C₂	—	4	2	no	—
1070	C₂	—	4	2	no	—
1071	C₂	—	4	2	no	—
1072	C₂	—	8	1	no	—
1073	C₂	—	8	2	no	—
1074	C₂	C₃×#3449	1	1	yes	characteristic
1075	C₂	C₃×#3485	1	1	yes	characteristic
1076	C₂	C₃×#3488	1	1	yes	characteristic
1077	C₂	C₃×#3533	1	2	yes	—
1078	C₂	C₃×#3566	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#553	C₂	semidirect
2. C₂×C₃×#551	C₂	semidirect
3. C₃×#2816	C₂	semidirect
4. C₃×#2813	C₂	semidirect
5. C₃×#2727	C₂	semidirect
6. C₃×#2702	C₂	semidirect
7. C₃×#2701	C₂	semidirect
8. C₃×#2678	C₂	semidirect
9. C₃×#2664	C₂	semidirect
10. C₃×#2635	C₂	semidirect
11. C₃×#2625	C₂	semidirect
12. C₃×#2623	C₂	semidirect
13. C₃×#2617	C₂	semidirect
14. C₃×#2611	C₂	semidirect
15. C₃×#2603	C₂	semidirect
16. C₃×#2486	C₂	semidirect
17. C₃×#2482	C₂	semidirect
18. C₃×#2470	C₂	semidirect
19. C₃×#2459	C₂	semidirect
20. C₃×#2455	C₂	semidirect
21. C₃×#2418	C₂	semidirect
22. C₃×#2392	C₂	semidirect
23. C₃×#2319	C₂	semidirect
24. #41985	C₃	direct (N × H)
29. C₂×C₃×#126	C₂²	semidirect
30. C₂×C₃×#125	C₂²	semidirect
41. C₂×C₃×#121	C₂²	semidirect
47. C₂×C₃×C₄×D₄	C₂²	semidirect
48. C₂×C₃×C₄×D₄	C₂²	semidirect
52. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
55. C₃×#400	C₂²	semidirect
56. C₃×#400	C₂²	semidirect
57. C₃×#400	C₂²	semidirect
61. C₃×#399	C₂²	semidirect
62. C₃×#398	C₂²	semidirect
63. C₃×#398	C₂²	semidirect
64. C₃×#398	C₂²	semidirect
65. C₃×#398	C₂²	semidirect
66. C₃×#398	C₂²	semidirect
74. C₃×#396	C₂²	semidirect
75. C₃×#396	C₂²	semidirect
82. C₃×#394	C₂²	semidirect
83. C₃×#394	C₂²	semidirect
84. C₃×#394	C₂²	semidirect
85. C₃×#394	C₂²	semidirect
86. C₃×#393	C₂²	semidirect
91. C₃×#391	C₂²	semidirect
94. C₃×#389	C₂²	semidirect
95. C₃×#389	C₂²	semidirect
96. C₃×#389	C₂²	semidirect
97. C₃×#389	C₂²	semidirect
98. C₃×#389	C₂²	semidirect
104. C₃×#388	C₂²	semidirect
105. C₃×#388	C₂²	semidirect
106. C₃×#388	C₂²	semidirect
107. C₃×#387	C₂²	semidirect
114. C₃×#385	C₂²	semidirect
115. C₃×#385	C₂²	semidirect
117. C₃×#381	C₂²	semidirect
118. C₃×#381	C₂²	semidirect
121. C₃×#380	C₂²	semidirect
123. C₃×C₄×C₄⋊C₄	C₂²	semidirect
124. C₃×C₄×C₂²⋊C₄	C₂²	semidirect
125. C₃×#376	C₂²	semidirect
126. C₂×#553	C₂×C₃	semidirect
127. C₂×#551	C₂×C₃	semidirect
128. #2816	C₂×C₃	semidirect
129. #2813	C₂×C₃	semidirect
130. #2727	C₂×C₃	semidirect
131. #2702	C₂×C₃	semidirect
132. #2701	C₂×C₃	semidirect
133. #2678	C₂×C₃	semidirect
134. #2664	C₂×C₃	semidirect
135. #2635	C₂×C₃	semidirect
136. #2625	C₂×C₃	semidirect
137. #2623	C₂×C₃	semidirect
138. #2617	C₂×C₃	semidirect
139. #2611	C₂×C₃	semidirect
140. #2603	C₂×C₃	semidirect
141. #2486	C₂×C₃	semidirect
142. #2482	C₂×C₃	semidirect
143. #2470	C₂×C₃	semidirect
144. #2459	C₂×C₃	semidirect
145. #2455	C₂×C₃	semidirect
146. #2418	C₂×C₃	semidirect
147. #2392	C₂×C₃	semidirect
148. #2319	C₂×C₃	semidirect
187. C₃×C₄×D₄	D₄	semidirect
280. C₂×#126	C₂²×C₃	semidirect
281. C₂×#125	C₂²×C₃	semidirect
292. C₂×#121	C₂²×C₃	semidirect
298. C₂×C₄×D₄	C₂²×C₃	semidirect
299. C₂×C₄×D₄	C₂²×C₃	semidirect
303. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
306. #400	C₂²×C₃	semidirect
307. #400	C₂²×C₃	semidirect
308. #400	C₂²×C₃	semidirect
312. #399	C₂²×C₃	semidirect
313. #398	C₂²×C₃	semidirect
314. #398	C₂²×C₃	semidirect
315. #398	C₂²×C₃	semidirect
316. #398	C₂²×C₃	semidirect
317. #398	C₂²×C₃	semidirect
325. #396	C₂²×C₃	semidirect
326. #396	C₂²×C₃	semidirect
333. #394	C₂²×C₃	semidirect
334. #394	C₂²×C₃	semidirect
335. #394	C₂²×C₃	semidirect
336. #394	C₂²×C₃	semidirect
337. #393	C₂²×C₃	semidirect
342. #391	C₂²×C₃	semidirect
345. #389	C₂²×C₃	semidirect
346. #389	C₂²×C₃	semidirect
347. #389	C₂²×C₃	semidirect
348. #389	C₂²×C₃	semidirect
349. #389	C₂²×C₃	semidirect
355. #388	C₂²×C₃	semidirect
356. #388	C₂²×C₃	semidirect
357. #388	C₂²×C₃	semidirect
358. #387	C₂²×C₃	semidirect
365. #385	C₂²×C₃	semidirect
366. #385	C₂²×C₃	semidirect
368. #381	C₂²×C₃	semidirect
369. #381	C₂²×C₃	semidirect
372. #380	C₂²×C₃	semidirect
374. C₄×C₄⋊C₄	C₂²×C₃	semidirect
375. C₄×C₂²⋊C₄	C₂²×C₃	semidirect
376. #376	C₂²×C₃	semidirect
546. C₄×D₄	C₃×D₄	semidirect
1068. C₃	#41985	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×#553	2
C₂×C₃×#551	2
C₃×#2816	2
C₃×#2813	2
C₃×#2727	2
C₃×#2702	2
C₃×#2701	2
C₃×#2678	2
C₃×#2664	2
C₃×#2635	2
C₃×#2625	2
C₃×#2623	2
C₃×#2617	2
C₃×#2611	2
C₃×#2603	2
C₃×#2486	2
C₃×#2482	2
C₃×#2470	2
C₃×#2459	2
C₃×#2455	2
C₃×#2418	2
C₃×#2392	2
C₃×#2319	2
#41985	3

Subgroups — C3×#41985 #10660592

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#41985 #10660592