Subgroups — C₃×#63046 #10681653

Order 768.

6790 conjugacy classes of subgroups.

The subgroup lattice has 862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3568	C₂	1	6	yes	maximal, complemented
2	C₃×#3561	C₂	1	6	yes	maximal, complemented
3	C₃×#3558	C₂	1	6	yes	maximal, complemented
4	C₃×#3545	C₂	1	6	yes	maximal, complemented
5	C₃×#3545	C₂	1	3	yes	maximal, complemented
6	C₃×#3540	C₂	1	12	yes	maximal, complemented
7	C₃×#3532	C₂	1	6	yes	maximal, complemented
8	C₃×#3529	C₂	1	2	yes	maximal, complemented
9	C₂×C₃×H(3,𝔽₄)	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3514	C₂	1	6	yes	maximal, complemented
11	C₃×#3510	C₂	1	3	yes	maximal, complemented
12	C₃×#3490	C₂	1	6	yes	maximal, complemented
13	#63046	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
14	C₃×#563	C₂²	1	6	yes	complemented
15	C₃×#563	C₂²	1	6	yes	complemented
16	C₃×#563	C₂²	1	3	yes	complemented
17	C₃×#562	C₂²	1	6	yes	complemented
18	C₃×#562	C₂²	1	6	yes	complemented
19	C₃×#562	C₂²	1	6	yes	complemented
20	C₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
21	C₃×H(3,𝔽₄)	C₂²	1	6	yes	complemented
22	C₃×H(3,𝔽₄)	C₂²	1	3	yes	complemented
23	C₃×H(3,𝔽₄)	C₂²	1	6	yes	complemented
24	C₃×H(3,𝔽₄)	C₂²	1	6	yes	complemented
25	C₃×H(3,𝔽₄)	C₂²	1	3	yes	complemented
26	C₃×#560	C₂²	1	12	yes	complemented
27	C₃×#560	C₂²	1	6	yes	complemented
28	C₃×#559	C₂²	1	12	yes	complemented
29	C₃×#559	C₂²	1	6	yes	complemented
30	C₃×#556	C₂²	1	12	yes	complemented
31	C₃×#556	C₂²	1	6	yes	complemented
32	C₃×#556	C₂²	1	12	yes	complemented
33	C₃×#555	C₂²	1	12	yes	complemented
34	C₃×#555	C₂²	1	6	yes	complemented
35	C₃×#551	C₂²	1	12	yes	complemented
36	C₃×#551	C₂²	1	12	yes	complemented
37	C₃×#551	C₂²	1	12	yes	complemented
38	C₃×#551	C₂²	1	12	yes	complemented
39	C₃×#551	C₂²	1	12	yes	complemented
40	C₃×#551	C₂²	1	6	yes	complemented
41	C₃×#551	C₂²	1	12	yes	complemented
42	C₃×#551	C₂²	1	6	yes	complemented
43	C₃×D₄×Q₈	C₂²	1	6	yes	complemented
44	C₃×#548	C₂²	1	2	yes	complemented
45	C₃×#548	C₂²	1	6	yes	complemented
46	C₃×#548	C₂²	1	12	yes	complemented
47	C₃×#546	C₂²	1	6	yes	complemented
48	C₃×#546	C₂²	1	12	yes	complemented
49	C₃×#546	C₂²	1	12	yes	complemented
50	C₃×#546	C₂²	1	12	yes	complemented
51	C₃×#546	C₂²	1	12	yes	complemented
52	C₃×#546	C₂²	1	12	yes	complemented
53	C₃×#546	C₂²	1	6	yes	complemented
54	C₃×D₄²	C₂²	1	6	yes	complemented
55	C₃×D₄²	C₂²	1	6	yes	complemented
56	C₃×#543	C₂²	1	6	yes	complemented
57	C₃×#542	C₂²	1	6	yes	complemented
58	C₃×#542	C₂²	1	6	yes	complemented
59	C₃×#542	C₂²	1	12	yes	complemented
60	C₃×#542	C₂²	1	12	yes	complemented
61	C₃×#542	C₂²	1	12	yes	complemented
62	C₃×#542	C₂²	1	12	yes	complemented
63	C₃×#542	C₂²	1	12	yes	complemented
64	C₃×#538	C₂²	1	12	yes	complemented
65	C₃×#538	C₂²	1	12	yes	complemented
66	C₃×#538	C₂²	1	12	yes	complemented
67	C₃×#538	C₂²	1	12	yes	complemented
68	C₃×#538	C₂²	1	12	yes	complemented
69	C₃×#538	C₂²	1	12	yes	complemented
70	C₃×#538	C₂²	1	12	yes	complemented
71	C₃×#536	C₂²	1	3	yes	complemented
72	C₃×#536	C₂²	1	12	yes	complemented
73	C₃×#535	C₂²	1	3	yes	—
74	C₃×#535	C₂²	1	12	yes	complemented
75	C₃×#534	C₂²	1	6	yes	complemented
76	C₃×#534	C₂²	1	12	yes	complemented
77	C₃×#533	C₂²	1	3	yes	complemented
78	C₃×#532	C₂²	1	6	yes	complemented
79	C₃×#529	C₂²	1	6	yes	complemented
80	C₃×#529	C₂²	1	6	yes	complemented
81	C₃×#529	C₂²	1	6	yes	complemented
82	C₃×#529	C₂²	1	6	yes	complemented
83	C₃×#529	C₂²	1	6	yes	complemented
84	C₂×C₃×#124	C₂²	1	3	yes	complemented
85	C₂×C₃×#124	C₂²	1	6	yes	complemented
86	C₂×C₃×#124	C₂²	1	6	yes	complemented
87	C₃×#525	C₂²	1	12	yes	complemented
88	C₃×#525	C₂²	1	12	yes	complemented
89	C₂×C₃×#120	C₂²	1	6	yes	complemented
90	C₂×C₃×#120	C₂²	1	6	yes	complemented
91	C₃×#519	C₂²	1	1	yes	characteristic, complemented
92	C₃×#518	C₂²	1	3	yes	complemented
93	C₃×#518	C₂²	1	6	yes	complemented
94	C₃×C₄×#41	C₂²	1	3	yes	complemented
95	C₂²×C₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
96	#3568	C₂×C₃	1	6	yes	complemented
97	#3561	C₂×C₃	1	6	yes	complemented
98	#3558	C₂×C₃	1	6	yes	complemented
99	#3545	C₂×C₃	1	3	yes	complemented
100	#3545	C₂×C₃	1	6	yes	complemented
101	#3540	C₂×C₃	1	12	yes	complemented
102	#3532	C₂×C₃	1	6	yes	complemented
103	#3529	C₂×C₃	1	2	yes	complemented
104	C₂×H(3,𝔽₄)	C₂×C₃	1	1	yes	characteristic, complemented
105	#3514	C₂×C₃	1	6	yes	complemented
106	#3510	C₂×C₃	1	3	yes	complemented
107	#3490	C₂×C₃	1	6	yes	complemented
108	C₂⁵×C₃	C₂³	1	2	yes	—
109	C₂×C₃×#41	C₂³	1	3	yes	—
110	C₂×C₃×#41	C₂³	1	6	yes	—
111	C₂×C₃×#41	C₂³	1	12	yes	—
112	C₂×C₃×#41	C₂³	1	2	yes	complemented
113	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
114	C₂²×C₃×Q₈	C₂³	1	2	yes	—
115	C₂²×C₃×Q₈	C₂³	1	6	yes	complemented
116	C₂²×C₃×D₄	C₂³	1	3	yes	—
117	C₂²×C₃×D₄	C₂³	1	6	yes	—
118	C₂²×C₃×D₄	C₂³	1	6	yes	—
119	C₂²×C₃×D₄	C₂³	1	6	yes	—
120	C₂²×C₃×D₄	C₂³	1	12	yes	complemented
121	C₂³×C₃×C₄	C₂³	1	4	yes	complemented
122	C₃×C₄⋊Q₈	C₂³	1	6	yes	complemented
123	C₃×C₄⋊Q₈	C₂³	1	12	yes	complemented
124	C₃×C₄⋊Q₈	C₂³	1	6	yes	complemented
125	C₃×C₄⋊Q₈	C₂³	1	6	yes	complemented
126	C₃×#127	C₂³	1	6	yes	—
127	C₃×#127	C₂³	1	6	yes	—
128	C₃×#126	C₂³	1	12	yes	complemented
129	C₃×#126	C₂³	1	12	yes	complemented
130	C₃×#126	C₂³	1	12	yes	complemented
131	C₃×#126	C₂³	1	12	yes	complemented
132	C₃×#126	C₂³	1	12	yes	complemented
133	C₃×#126	C₂³	1	12	yes	complemented
134	C₃×#126	C₂³	1	12	yes	complemented
135	C₃×#126	C₂³	1	12	yes	complemented
136	C₃×#126	C₂³	1	12	yes	complemented
137	C₃×#125	C₂³	1	6	yes	complemented
138	C₃×#125	C₂³	1	6	yes	complemented
139	C₃×#124	C₂³	1	12	yes	—
140	C₃×#124	C₂³	1	6	yes	—
141	C₃×#124	C₂³	1	3	yes	—
142	C₃×#124	C₂³	1	3	yes	—
143	C₃×#124	C₂³	1	6	yes	—
144	C₃×#124	C₂³	1	6	yes	—
145	C₃×#124	C₂³	1	12	yes	—
146	C₃×#124	C₂³	1	12	yes	—
147	C₃×#124	C₂³	1	6	yes	—
148	C₃×#124	C₂³	1	3	yes	—
149	C₃×#124	C₂³	1	3	yes	—
150	C₃×#124	C₂³	1	6	yes	—
151	C₃×#124	C₂³	1	12	yes	—
152	C₃×#124	C₂³	1	6	yes	—
153	C₃×#124	C₂³	1	6	yes	complemented
154	C₃×#124	C₂³	1	12	yes	complemented
155	C₃×#124	C₂³	1	12	yes	complemented
156	C₃×#124	C₂³	1	6	yes	complemented
157	C₃×#124	C₂³	1	12	yes	complemented
158	C₃×#124	C₂³	1	6	yes	complemented
159	C₃×#124	C₂³	1	12	yes	complemented
160	C₃×#124	C₂³	1	12	yes	complemented
161	C₃×#124	C₂³	1	12	yes	complemented
162	C₃×#123	C₂³	1	12	yes	—
163	C₃×#123	C₂³	1	6	yes	—
164	C₃×#123	C₂³	1	6	yes	—
165	C₃×#123	C₂³	1	12	yes	—
166	C₃×#123	C₂³	1	12	yes	—
167	C₃×#123	C₂³	1	12	yes	—
168	C₃×#123	C₂³	1	12	yes	complemented
169	C₃×#123	C₂³	1	12	yes	complemented
170	C₃×#123	C₂³	1	12	yes	complemented
171	C₃×#123	C₂³	1	12	yes	complemented
172	C₃×#123	C₂³	1	12	yes	complemented
173	C₃×#123	C₂³	1	12	yes	complemented
174	C₃×#123	C₂³	1	12	yes	complemented
175	C₃×#123	C₂³	1	12	yes	complemented
176	C₃×#123	C₂³	1	12	yes	complemented
177	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
178	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
179	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
180	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
181	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
182	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
183	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
184	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
185	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
186	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
187	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
188	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
189	C₃×C₂²⋊Q₈	C₂³	1	12	yes	complemented
190	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
191	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
192	C₃×#121	C₂³	1	6	yes	—
193	C₃×#121	C₂³	1	6	yes	—
194	C₃×#121	C₂³	1	12	yes	—
195	C₃×#121	C₂³	1	12	yes	—
196	C₃×#121	C₂³	1	12	yes	—
197	C₃×#121	C₂³	1	12	yes	—
198	C₃×#121	C₂³	1	12	yes	—
199	C₃×#121	C₂³	1	12	yes	—
200	C₃×#121	C₂³	1	12	yes	—
201	C₃×#121	C₂³	1	6	yes	—
202	C₃×#121	C₂³	1	6	yes	—
203	C₃×#121	C₂³	1	6	yes	—
204	C₃×#121	C₂³	1	12	yes	complemented
205	C₃×#121	C₂³	1	12	yes	complemented
206	C₃×#121	C₂³	1	12	yes	complemented
207	C₃×#121	C₂³	1	12	yes	complemented
208	C₃×#120	C₂³	1	6	yes	—
209	C₃×#120	C₂³	1	6	yes	—
210	C₃×#120	C₂³	1	12	yes	—
211	C₃×#120	C₂³	1	12	yes	—
212	C₃×#120	C₂³	1	6	yes	—
213	C₃×#120	C₂³	1	6	yes	—
214	C₃×#120	C₂³	1	6	yes	—
215	C₃×#120	C₂³	1	12	yes	—
216	C₃×#120	C₂³	1	6	yes	—
217	C₃×#120	C₂³	1	12	yes	—
218	C₃×#120	C₂³	1	12	yes	—
219	C₃×#120	C₂³	1	12	yes	complemented
220	C₃×#120	C₂³	1	12	yes	complemented
221	C₃×#120	C₂³	1	12	yes	complemented
222	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
223	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
224	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
225	C₃×C₄×Q₈	C₂³	1	12	yes	complemented
226	C₃×C₄×Q₈	C₂³	1	2	yes	complemented
227	C₃×C₄×Q₈	C₂³	1	2	yes	complemented
228	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
229	C₃×C₄×D₄	C₂³	1	12	yes	—
230	C₃×C₄×D₄	C₂³	1	6	yes	—
231	C₃×C₄×D₄	C₂³	1	6	yes	—
232	C₃×C₄×D₄	C₂³	1	6	yes	—
233	C₃×C₄×D₄	C₂³	1	6	yes	—
234	C₃×C₄×D₄	C₂³	1	12	yes	—
235	C₃×C₄×D₄	C₂³	1	6	yes	—
236	C₃×C₄×D₄	C₂³	1	12	yes	—
237	C₃×C₄×D₄	C₂³	1	6	yes	—
238	C₃×C₄×D₄	C₂³	1	6	yes	complemented
239	C₃×C₄×D₄	C₂³	1	12	yes	complemented
240	C₃×C₄×D₄	C₂³	1	12	yes	complemented
241	C₃×C₄×D₄	C₂³	1	6	yes	complemented
242	C₃×C₄×D₄	C₂³	1	12	yes	complemented
243	C₃×C₄×D₄	C₂³	1	12	yes	complemented
244	C₃×C₄×D₄	C₂³	1	12	yes	complemented
245	C₃×C₄×D₄	C₂³	1	12	yes	complemented
246	C₃×#117	C₂³	1	3	yes	—
247	C₃×#117	C₂³	1	3	yes	—
248	C₃×#117	C₂³	1	3	yes	—
249	C₃×#117	C₂³	1	6	yes	complemented
250	C₃×#117	C₂³	1	12	yes	complemented
251	C₃×#117	C₂³	1	12	yes	complemented
252	C₃×#117	C₂³	1	12	yes	complemented
253	C₃×#117	C₂³	1	12	yes	complemented
254	C₃×#117	C₂³	1	12	yes	complemented
255	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
256	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
257	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
258	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
259	C₂×C₃×C₂²⋊C₄	C₂³	1	12	yes	—
260	C₂×C₃×C₂²⋊C₄	C₂³	1	12	yes	complemented
261	C₂×C₃×C₂²⋊C₄	C₂³	1	12	yes	complemented
262	C₂×C₃×C₂²⋊C₄	C₂³	1	12	yes	complemented
263	C₂×C₃×C₂²⋊C₄	C₂³	1	12	yes	complemented
264	C₂×C₃×C₄²	C₂³	1	3	yes	—
265	C₂×C₃×C₄²	C₂³	1	6	yes	complemented
266	#563	C₂²×C₃	1	6	yes	complemented
267	#563	C₂²×C₃	1	6	yes	complemented
268	#563	C₂²×C₃	1	3	yes	complemented
269	#562	C₂²×C₃	1	6	yes	complemented
270	#562	C₂²×C₃	1	6	yes	complemented
271	#562	C₂²×C₃	1	6	yes	complemented
272	H(3,𝔽₄)	C₂²×C₃	1	1	yes	characteristic, complemented
273	H(3,𝔽₄)	C₂²×C₃	1	6	yes	complemented
274	H(3,𝔽₄)	C₂²×C₃	1	3	yes	complemented
275	H(3,𝔽₄)	C₂²×C₃	1	6	yes	complemented
276	H(3,𝔽₄)	C₂²×C₃	1	6	yes	complemented
277	H(3,𝔽₄)	C₂²×C₃	1	3	yes	complemented
278	#560	C₂²×C₃	1	12	yes	complemented
279	#560	C₂²×C₃	1	6	yes	complemented
280	#559	C₂²×C₃	1	12	yes	complemented
281	#559	C₂²×C₃	1	6	yes	complemented
282	#556	C₂²×C₃	1	12	yes	complemented
283	#556	C₂²×C₃	1	6	yes	complemented
284	#556	C₂²×C₃	1	12	yes	complemented
285	#555	C₂²×C₃	1	12	yes	complemented
286	#555	C₂²×C₃	1	6	yes	complemented
287	#551	C₂²×C₃	1	12	yes	complemented
288	#551	C₂²×C₃	1	12	yes	complemented
289	#551	C₂²×C₃	1	12	yes	complemented
290	#551	C₂²×C₃	1	12	yes	complemented
291	#551	C₂²×C₃	1	12	yes	complemented
292	#551	C₂²×C₃	1	6	yes	complemented
293	#551	C₂²×C₃	1	12	yes	complemented
294	#551	C₂²×C₃	1	6	yes	complemented
295	D₄×Q₈	C₂²×C₃	1	6	yes	complemented
296	#548	C₂²×C₃	1	2	yes	complemented
297	#548	C₂²×C₃	1	6	yes	complemented
298	#548	C₂²×C₃	1	12	yes	complemented
299	#546	C₂²×C₃	1	6	yes	complemented
300	#546	C₂²×C₃	1	12	yes	complemented
301	#546	C₂²×C₃	1	12	yes	complemented
302	#546	C₂²×C₃	1	12	yes	complemented
303	#546	C₂²×C₃	1	12	yes	complemented
304	#546	C₂²×C₃	1	12	yes	complemented
305	#546	C₂²×C₃	1	6	yes	complemented
306	D₄²	C₂²×C₃	1	6	yes	complemented
307	D₄²	C₂²×C₃	1	6	yes	complemented
308	#543	C₂²×C₃	1	6	yes	complemented
309	#542	C₂²×C₃	1	6	yes	complemented
310	#542	C₂²×C₃	1	6	yes	complemented
311	#542	C₂²×C₃	1	12	yes	complemented
312	#542	C₂²×C₃	1	12	yes	complemented
313	#542	C₂²×C₃	1	12	yes	complemented
314	#542	C₂²×C₃	1	12	yes	complemented
315	#542	C₂²×C₃	1	12	yes	complemented
316	#538	C₂²×C₃	1	12	yes	complemented
317	#538	C₂²×C₃	1	12	yes	complemented
318	#538	C₂²×C₃	1	12	yes	complemented
319	#538	C₂²×C₃	1	12	yes	complemented
320	#538	C₂²×C₃	1	12	yes	complemented
321	#538	C₂²×C₃	1	12	yes	complemented
322	#538	C₂²×C₃	1	12	yes	complemented
323	#536	C₂²×C₃	1	3	yes	complemented
324	#536	C₂²×C₃	1	12	yes	complemented
325	#535	C₂²×C₃	1	3	yes	—
326	#535	C₂²×C₃	1	12	yes	complemented
327	#534	C₂²×C₃	1	6	yes	complemented
328	#534	C₂²×C₃	1	12	yes	complemented
329	#533	C₂²×C₃	1	3	yes	complemented
330	#532	C₂²×C₃	1	6	yes	complemented
331	#529	C₂²×C₃	1	6	yes	complemented
332	#529	C₂²×C₃	1	6	yes	complemented
333	#529	C₂²×C₃	1	6	yes	complemented
334	#529	C₂²×C₃	1	6	yes	complemented
335	#529	C₂²×C₃	1	6	yes	complemented
336	C₂×#124	C₂²×C₃	1	3	yes	complemented
337	C₂×#124	C₂²×C₃	1	6	yes	complemented
338	C₂×#124	C₂²×C₃	1	6	yes	complemented
339	#525	C₂²×C₃	1	12	yes	complemented
340	#525	C₂²×C₃	1	12	yes	complemented
341	C₂×#120	C₂²×C₃	1	6	yes	complemented
342	C₂×#120	C₂²×C₃	1	6	yes	complemented
343	#519	C₂²×C₃	1	1	yes	characteristic, complemented
344	#518	C₂²×C₃	1	3	yes	complemented
345	#518	C₂²×C₃	1	6	yes	complemented
346	C₄×#41	C₂²×C₃	1	3	yes	complemented
347	C₂²×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
348	C₂⁴×C₃	—	4	4	no	—
349	C₂⁴×C₃	—	8	4	no	—
350	C₂⁴×C₃	C₂⁴	1	6	yes	—
351	C₂⁴×C₃	C₂⁴	1	6	yes	—
352	C₂⁴×C₃	C₂⁴	1	2	yes	—
353	C₂⁴×C₃	C₂⁴	1	6	yes	—
354	C₃×#41	—	4	6	no	—
355	C₃×#41	—	8	6	no	—
356	C₃×#41	—	8	12	no	—
357	C₃×#41	—	8	2	no	—
358	C₂×C₃×Q₈	—	4	2	no	—
359	C₂×C₃×Q₈	—	8	2	no	—
360	C₂×C₃×Q₈	—	8	6	no	—
361	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
362	C₂×C₃×Q₈	C₂⁴	1	3	yes	—
363	C₂×C₃×Q₈	C₂⁴	1	3	yes	—
364	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
365	C₂×C₃×Q₈	C₂⁴	1	12	yes	—
366	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
367	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
368	C₂×C₃×D₄	—	4	6	no	—
369	C₂×C₃×D₄	—	4	12	no	—
370	C₂×C₃×D₄	—	8	6	no	—
371	C₂×C₃×D₄	—	8	6	no	—
372	C₂×C₃×D₄	—	8	12	no	—
373	C₂×C₃×D₄	C₂⁴	1	6	yes	—
374	C₂×C₃×D₄	C₂⁴	1	3	yes	—
375	C₂×C₃×D₄	C₂⁴	1	6	yes	—
376	C₂×C₃×D₄	C₂⁴	1	3	yes	—
377	C₂×C₃×D₄	C₂⁴	1	12	yes	—
378	C₂×C₃×D₄	C₂⁴	1	6	yes	—
379	C₂×C₃×D₄	C₂⁴	1	6	yes	—
380	C₂×C₃×D₄	C₂⁴	1	12	yes	—
381	C₂×C₃×D₄	C₂⁴	1	3	yes	—
382	C₂×C₃×D₄	C₂⁴	1	12	yes	—
383	C₂×C₃×D₄	C₂⁴	1	12	yes	—
384	C₂×C₃×D₄	C₂⁴	1	12	yes	—
385	C₂×C₃×D₄	C₂⁴	1	12	yes	—
386	C₂×C₃×D₄	C₂⁴	1	6	yes	—
387	C₂²×C₃×C₄	—	8	4	no	—
388	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
389	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
390	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
391	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
392	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
393	C₂²×C₃×C₄	C₂⁴	1	12	yes	—
394	C₂²×C₃×C₄	C₂⁴	1	12	yes	—
395	C₂²×C₃×C₄	C₂⁴	1	12	yes	—
396	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
397	C₂²×C₃×C₄	C₂⁴	1	12	yes	—
398	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
399	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
400	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
401	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
402	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
403	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
404	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
405	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
406	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
407	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
408	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
409	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
410	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
411	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
412	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
414	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
415	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
416	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
417	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
418	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
419	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
420	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
421	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
422	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
423	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
424	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
425	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
426	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
427	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
428	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
429	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
430	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
431	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
432	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
433	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
434	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
435	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
436	C₃×C₄²	C₂⁴	1	3	yes	—
437	C₃×C₄²	C₂⁴	1	3	yes	—
438	C₃×C₄²	C₂⁴	1	6	yes	—
439	C₃×C₄²	C₂⁴	1	6	yes	—
440	C₃×C₄²	C₂⁴	1	6	yes	—
441	C₃×C₄²	C₂⁴	1	6	yes	—
442	C₃×C₄²	C₂⁴	1	6	yes	—
443	C₃×C₄²	C₂⁴	1	6	yes	—
444	C₃×C₄²	C₂⁴	1	12	yes	—
445	C₂⁵	C₂³×C₃	1	2	yes	—
446	C₂×#41	C₂³×C₃	1	3	yes	—
447	C₂×#41	C₂³×C₃	1	6	yes	—
448	C₂×#41	C₂³×C₃	1	12	yes	—
449	C₂×#41	C₂³×C₃	1	2	yes	complemented
450	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
451	C₂²×Q₈	C₂³×C₃	1	2	yes	—
452	C₂²×Q₈	C₂³×C₃	1	6	yes	complemented
453	C₂²×D₄	C₂³×C₃	1	3	yes	—
454	C₂²×D₄	C₂³×C₃	1	6	yes	—
455	C₂²×D₄	C₂³×C₃	1	6	yes	—
456	C₂²×D₄	C₂³×C₃	1	6	yes	—
457	C₂²×D₄	C₂³×C₃	1	12	yes	complemented
458	C₂³×C₄	C₂³×C₃	1	4	yes	complemented
459	C₄⋊Q₈	C₂³×C₃	1	6	yes	complemented
460	C₄⋊Q₈	C₂³×C₃	1	6	yes	complemented
461	C₄⋊Q₈	C₂³×C₃	1	12	yes	complemented
462	C₄⋊Q₈	C₂³×C₃	1	6	yes	complemented
463	#127	C₂³×C₃	1	6	yes	—
464	#127	C₂³×C₃	1	6	yes	—
465	#126	C₂³×C₃	1	12	yes	complemented
466	#126	C₂³×C₃	1	12	yes	complemented
467	#126	C₂³×C₃	1	12	yes	complemented
468	#126	C₂³×C₃	1	12	yes	complemented
469	#126	C₂³×C₃	1	12	yes	complemented
470	#126	C₂³×C₃	1	12	yes	complemented
471	#126	C₂³×C₃	1	12	yes	complemented
472	#126	C₂³×C₃	1	12	yes	complemented
473	#126	C₂³×C₃	1	12	yes	complemented
474	#125	C₂³×C₃	1	6	yes	complemented
475	#125	C₂³×C₃	1	6	yes	complemented
476	#124	C₂³×C₃	1	6	yes	—
477	#124	C₂³×C₃	1	3	yes	—
478	#124	C₂³×C₃	1	3	yes	—
479	#124	C₂³×C₃	1	6	yes	—
480	#124	C₂³×C₃	1	12	yes	—
481	#124	C₂³×C₃	1	6	yes	—
482	#124	C₂³×C₃	1	12	yes	—
483	#124	C₂³×C₃	1	12	yes	—
484	#124	C₂³×C₃	1	6	yes	—
485	#124	C₂³×C₃	1	6	yes	—
486	#124	C₂³×C₃	1	3	yes	—
487	#124	C₂³×C₃	1	3	yes	—
488	#124	C₂³×C₃	1	6	yes	—
489	#124	C₂³×C₃	1	12	yes	—
490	#124	C₂³×C₃	1	6	yes	complemented
491	#124	C₂³×C₃	1	12	yes	complemented
492	#124	C₂³×C₃	1	6	yes	complemented
493	#124	C₂³×C₃	1	12	yes	complemented
494	#124	C₂³×C₃	1	12	yes	complemented
495	#124	C₂³×C₃	1	6	yes	complemented
496	#124	C₂³×C₃	1	12	yes	complemented
497	#124	C₂³×C₃	1	12	yes	complemented
498	#124	C₂³×C₃	1	12	yes	complemented
499	#123	C₂³×C₃	1	12	yes	—
500	#123	C₂³×C₃	1	12	yes	—
501	#123	C₂³×C₃	1	12	yes	—
502	#123	C₂³×C₃	1	6	yes	—
503	#123	C₂³×C₃	1	12	yes	—
504	#123	C₂³×C₃	1	6	yes	—
505	#123	C₂³×C₃	1	12	yes	complemented
506	#123	C₂³×C₃	1	12	yes	complemented
507	#123	C₂³×C₃	1	12	yes	complemented
508	#123	C₂³×C₃	1	12	yes	complemented
509	#123	C₂³×C₃	1	12	yes	complemented
510	#123	C₂³×C₃	1	12	yes	complemented
511	#123	C₂³×C₃	1	12	yes	complemented
512	#123	C₂³×C₃	1	12	yes	complemented
513	#123	C₂³×C₃	1	12	yes	complemented
514	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
515	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
516	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
517	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
518	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
519	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
520	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
521	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
522	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
523	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
524	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
525	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
526	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
527	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
528	C₂²⋊Q₈	C₂³×C₃	1	12	yes	complemented
529	#121	C₂³×C₃	1	12	yes	—
530	#121	C₂³×C₃	1	12	yes	—
531	#121	C₂³×C₃	1	12	yes	—
532	#121	C₂³×C₃	1	12	yes	—
533	#121	C₂³×C₃	1	6	yes	—
534	#121	C₂³×C₃	1	6	yes	—
535	#121	C₂³×C₃	1	6	yes	—
536	#121	C₂³×C₃	1	6	yes	—
537	#121	C₂³×C₃	1	6	yes	—
538	#121	C₂³×C₃	1	12	yes	—
539	#121	C₂³×C₃	1	12	yes	—
540	#121	C₂³×C₃	1	12	yes	—
541	#121	C₂³×C₃	1	12	yes	complemented
542	#121	C₂³×C₃	1	12	yes	complemented
543	#121	C₂³×C₃	1	12	yes	complemented
544	#121	C₂³×C₃	1	12	yes	complemented
545	#120	C₂³×C₃	1	6	yes	—
546	#120	C₂³×C₃	1	6	yes	—
547	#120	C₂³×C₃	1	12	yes	—
548	#120	C₂³×C₃	1	12	yes	—
549	#120	C₂³×C₃	1	12	yes	—
550	#120	C₂³×C₃	1	12	yes	—
551	#120	C₂³×C₃	1	6	yes	—
552	#120	C₂³×C₃	1	6	yes	—
553	#120	C₂³×C₃	1	6	yes	—
554	#120	C₂³×C₃	1	12	yes	—
555	#120	C₂³×C₃	1	6	yes	—
556	#120	C₂³×C₃	1	12	yes	complemented
557	#120	C₂³×C₃	1	12	yes	complemented
558	#120	C₂³×C₃	1	12	yes	complemented
559	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
560	C₄×Q₈	C₂³×C₃	1	2	yes	complemented
561	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
562	C₄×Q₈	C₂³×C₃	1	2	yes	complemented
563	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
564	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
565	C₄×Q₈	C₂³×C₃	1	12	yes	complemented
566	C₄×D₄	C₂³×C₃	1	6	yes	—
567	C₄×D₄	C₂³×C₃	1	6	yes	—
568	C₄×D₄	C₂³×C₃	1	6	yes	—
569	C₄×D₄	C₂³×C₃	1	12	yes	—
570	C₄×D₄	C₂³×C₃	1	12	yes	—
571	C₄×D₄	C₂³×C₃	1	6	yes	—
572	C₄×D₄	C₂³×C₃	1	6	yes	—
573	C₄×D₄	C₂³×C₃	1	12	yes	—
574	C₄×D₄	C₂³×C₃	1	6	yes	—
575	C₄×D₄	C₂³×C₃	1	6	yes	complemented
576	C₄×D₄	C₂³×C₃	1	12	yes	complemented
577	C₄×D₄	C₂³×C₃	1	12	yes	complemented
578	C₄×D₄	C₂³×C₃	1	12	yes	complemented
579	C₄×D₄	C₂³×C₃	1	12	yes	complemented
580	C₄×D₄	C₂³×C₃	1	6	yes	complemented
581	C₄×D₄	C₂³×C₃	1	12	yes	complemented
582	C₄×D₄	C₂³×C₃	1	12	yes	complemented
583	#117	C₂³×C₃	1	3	yes	—
584	#117	C₂³×C₃	1	3	yes	—
585	#117	C₂³×C₃	1	3	yes	—
586	#117	C₂³×C₃	1	6	yes	complemented
587	#117	C₂³×C₃	1	12	yes	complemented
588	#117	C₂³×C₃	1	12	yes	complemented
589	#117	C₂³×C₃	1	12	yes	complemented
590	#117	C₂³×C₃	1	12	yes	complemented
591	#117	C₂³×C₃	1	12	yes	complemented
592	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
593	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
594	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
595	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
596	C₂×C₂²⋊C₄	C₂³×C₃	1	12	yes	—
597	C₂×C₂²⋊C₄	C₂³×C₃	1	12	yes	complemented
598	C₂×C₂²⋊C₄	C₂³×C₃	1	12	yes	complemented
599	C₂×C₂²⋊C₄	C₂³×C₃	1	12	yes	complemented
600	C₂×C₂²⋊C₄	C₂³×C₃	1	12	yes	complemented
601	C₂×C₄²	C₂³×C₃	1	3	yes	—
602	C₂×C₄²	C₂³×C₃	1	6	yes	complemented
603	C₂³×C₃	—	2	12	no	—
604	C₂³×C₃	—	4	4	no	—
605	C₂³×C₃	—	4	2	no	—
606	C₂³×C₃	—	4	12	no	—
607	C₂³×C₃	—	4	12	no	—
608	C₂³×C₃	—	4	6	no	—
609	C₂³×C₃	—	4	6	no	—
610	C₂³×C₃	—	4	12	no	—
611	C₂³×C₃	—	8	16	no	—
612	C₂³×C₃	C₂⁵	1	6	yes	—
613	C₂³×C₃	C₂⁵	1	6	yes	—
614	C₂³×C₃	C₂⁵	1	6	yes	—
615	C₂³×C₃	C₂⁵	1	1	yes	characteristic
616	C₃×Q₈	—	4	1	no	—
617	C₃×Q₈	—	4	3	no	—
618	C₃×Q₈	—	4	6	no	—
619	C₃×Q₈	—	4	6	no	—
620	C₃×Q₈	—	4	12	no	—
621	C₃×Q₈	—	4	2	no	—
622	C₃×Q₈	—	4	3	no	—
623	C₃×D₄	—	2	12	no	—
624	C₃×D₄	—	4	3	no	—
625	C₃×D₄	—	4	3	no	—
626	C₃×D₄	—	4	6	no	—
627	C₃×D₄	—	4	12	no	—
628	C₃×D₄	—	4	12	no	—
629	C₃×D₄	—	4	6	no	—
630	C₃×D₄	—	4	12	no	—
631	C₃×D₄	—	4	12	no	—
632	C₃×D₄	—	4	12	no	—
633	C₃×D₄	—	4	6	no	—
634	C₃×D₄	—	4	6	no	—
635	C₃×D₄	—	4	12	no	—
636	C₃×D₄	—	4	3	no	—
637	C₂×C₃×C₄	—	2	6	no	—
638	C₂×C₃×C₄	—	4	12	no	—
639	C₂×C₃×C₄	—	4	12	no	—
640	C₂×C₃×C₄	—	4	6	no	—
641	C₂×C₃×C₄	—	4	6	no	—
642	C₂×C₃×C₄	—	4	6	no	—
643	C₂×C₃×C₄	—	4	12	no	—
644	C₂×C₃×C₄	—	4	12	no	—
645	C₂×C₃×C₄	—	4	6	no	—
646	C₂×C₃×C₄	—	4	6	no	—
647	C₂×C₃×C₄	C₂⁵	1	3	yes	—
648	C₂×C₃×C₄	C₂⁵	1	2	yes	—
649	C₂×C₃×C₄	C₂⁵	1	3	yes	—
650	C₂×C₃×C₄	C₂⁵	1	6	yes	—
651	C₂×C₃×C₄	C₂⁵	1	6	yes	—
652	C₂×C₃×C₄	C₂⁵	1	6	yes	—
653	C₂×C₃×C₄	C₂⁵	1	6	yes	—
654	C₂×C₃×C₄	C₂⁵	1	12	yes	—
655	C₂⁴	—	4	4	no	—
656	C₂⁴	—	8	4	no	—
657	C₂⁴	C₂⁴×C₃	1	6	yes	—
658	C₂⁴	C₂⁴×C₃	1	6	yes	—
659	C₂⁴	C₂⁴×C₃	1	6	yes	—
660	C₂⁴	C₂⁴×C₃	1	2	yes	—
661	#41	—	4	6	no	—
662	#41	—	8	6	no	—
663	#41	—	8	12	no	—
664	#41	—	8	2	no	—
665	C₂×Q₈	—	4	2	no	—
666	C₂×Q₈	—	8	2	no	—
667	C₂×Q₈	—	8	6	no	—
668	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
669	C₂×Q₈	C₂⁴×C₃	1	3	yes	—
670	C₂×Q₈	C₂⁴×C₃	1	3	yes	—
671	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
672	C₂×Q₈	C₂⁴×C₃	1	12	yes	—
673	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
674	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
675	C₂×D₄	—	4	6	no	—
676	C₂×D₄	—	4	12	no	—
677	C₂×D₄	—	8	6	no	—
678	C₂×D₄	—	8	6	no	—
679	C₂×D₄	—	8	12	no	—
680	C₂×D₄	C₂⁴×C₃	1	6	yes	—
681	C₂×D₄	C₂⁴×C₃	1	3	yes	—
682	C₂×D₄	C₂⁴×C₃	1	6	yes	—
683	C₂×D₄	C₂⁴×C₃	1	3	yes	—
684	C₂×D₄	C₂⁴×C₃	1	12	yes	—
685	C₂×D₄	C₂⁴×C₃	1	6	yes	—
686	C₂×D₄	C₂⁴×C₃	1	6	yes	—
687	C₂×D₄	C₂⁴×C₃	1	12	yes	—
688	C₂×D₄	C₂⁴×C₃	1	3	yes	—
689	C₂×D₄	C₂⁴×C₃	1	12	yes	—
690	C₂×D₄	C₂⁴×C₃	1	12	yes	—
691	C₂×D₄	C₂⁴×C₃	1	12	yes	—
692	C₂×D₄	C₂⁴×C₃	1	12	yes	—
693	C₂×D₄	C₂⁴×C₃	1	6	yes	—
694	C₂²×C₄	—	8	4	no	—
695	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
696	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
697	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
698	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
699	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
700	C₂²×C₄	C₂⁴×C₃	1	12	yes	—
701	C₂²×C₄	C₂⁴×C₃	1	12	yes	—
702	C₂²×C₄	C₂⁴×C₃	1	12	yes	—
703	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
704	C₂²×C₄	C₂⁴×C₃	1	12	yes	—
705	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
706	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
707	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
708	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
709	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
710	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
711	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
712	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
713	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
714	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
715	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
716	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
717	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
718	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
719	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
720	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
721	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
722	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
723	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
724	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
725	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
726	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
727	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
728	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
729	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
730	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
731	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
732	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
733	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
734	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
735	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
736	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
737	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
738	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
739	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
740	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
741	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
742	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
743	C₄²	C₂⁴×C₃	1	3	yes	—
744	C₄²	C₂⁴×C₃	1	3	yes	—
745	C₄²	C₂⁴×C₃	1	6	yes	—
746	C₄²	C₂⁴×C₃	1	6	yes	—
747	C₄²	C₂⁴×C₃	1	6	yes	—
748	C₄²	C₂⁴×C₃	1	6	yes	—
749	C₄²	C₂⁴×C₃	1	6	yes	—
750	C₄²	C₂⁴×C₃	1	6	yes	—
751	C₄²	C₂⁴×C₃	1	12	yes	—
752	C₂²×C₃	—	2	2	no	—
753	C₂²×C₃	—	2	6	no	—
754	C₂²×C₃	—	2	6	no	—
755	C₂²×C₃	—	2	6	no	—
756	C₂²×C₃	—	2	6	no	—
757	C₂²×C₃	—	2	12	no	—
758	C₂²×C₃	—	2	6	no	—
759	C₂²×C₃	—	2	12	no	—
760	C₂²×C₃	—	4	8	no	—
761	C₂²×C₃	—	8	12	no	—
762	C₂²×C₃	—	8	12	no	—
763	C₂²×C₃	—	16	6	no	—
764	C₂²×C₃	#585	1	2	yes	—
765	C₂²×C₃	C₂⁶	1	1	yes	characteristic
766	C₃×C₄	—	2	3	no	—
767	C₃×C₄	—	2	3	no	—
768	C₃×C₄	—	2	6	no	—
769	C₃×C₄	—	2	2	no	—
770	C₃×C₄	—	2	12	no	—
771	C₃×C₄	—	2	6	no	—
772	C₃×C₄	—	2	6	no	—
773	C₃×C₄	—	2	6	no	—
774	C₂³	—	2	12	no	—
775	C₂³	—	4	4	no	—
776	C₂³	—	4	2	no	—
777	C₂³	—	4	12	no	—
778	C₂³	—	4	12	no	—
779	C₂³	—	4	6	no	—
780	C₂³	—	4	6	no	—
781	C₂³	—	4	12	no	—
782	C₂³	—	8	16	no	—
783	C₂³	C₂⁵×C₃	1	6	yes	—
784	C₂³	C₂⁵×C₃	1	6	yes	—
785	C₂³	C₂⁵×C₃	1	6	yes	—
786	C₂³	C₂⁵×C₃	1	1	yes	characteristic
787	Q₈	—	4	1	no	—
788	Q₈	—	4	3	no	—
789	Q₈	—	4	6	no	—
790	Q₈	—	4	6	no	—
791	Q₈	—	4	12	no	—
792	Q₈	—	4	2	no	—
793	Q₈	—	4	3	no	—
794	D₄	—	2	12	no	—
795	D₄	—	4	3	no	—
796	D₄	—	4	3	no	—
797	D₄	—	4	6	no	—
798	D₄	—	4	12	no	—
799	D₄	—	4	12	no	—
800	D₄	—	4	6	no	—
801	D₄	—	4	12	no	—
802	D₄	—	4	12	no	—
803	D₄	—	4	12	no	—
804	D₄	—	4	6	no	—
805	D₄	—	4	6	no	—
806	D₄	—	4	12	no	—
807	D₄	—	4	3	no	—
808	C₂×C₄	—	2	6	no	—
809	C₂×C₄	—	4	12	no	—
810	C₂×C₄	—	4	12	no	—
811	C₂×C₄	—	4	6	no	—
812	C₂×C₄	—	4	6	no	—
813	C₂×C₄	—	4	6	no	—
814	C₂×C₄	—	4	12	no	—
815	C₂×C₄	—	4	12	no	—
816	C₂×C₄	—	4	6	no	—
817	C₂×C₄	—	4	6	no	—
818	C₂×C₄	C₂⁵×C₃	1	3	yes	—
819	C₂×C₄	C₂⁵×C₃	1	2	yes	—
820	C₂×C₄	C₂⁵×C₃	1	3	yes	—
821	C₂×C₄	C₂⁵×C₃	1	6	yes	—
822	C₂×C₄	C₂⁵×C₃	1	6	yes	—
823	C₂×C₄	C₂⁵×C₃	1	6	yes	—
824	C₂×C₄	C₂⁵×C₃	1	6	yes	—
825	C₂×C₄	C₂⁵×C₃	1	12	yes	—
826	C₂×C₃	—	2	2	no	—
827	C₂×C₃	—	4	6	no	—
828	C₂×C₃	—	4	6	no	—
829	C₂×C₃	—	4	6	no	—
830	C₂×C₃	C₂×#585	1	1	yes	characteristic
831	C₂×C₃	H(7,𝔽₂)	1	2	yes	—
832	C₂²	—	2	2	no	—
833	C₂²	—	2	6	no	—
834	C₂²	—	2	6	no	—
835	C₂²	—	2	6	no	—
836	C₂²	—	2	6	no	—
837	C₂²	—	2	12	no	—
838	C₂²	—	2	6	no	—
839	C₂²	—	2	12	no	—
840	C₂²	—	4	8	no	—
841	C₂²	—	8	12	no	—
842	C₂²	—	8	12	no	—
843	C₂²	—	16	6	no	—
844	C₂²	C₃×#585	1	2	yes	—
845	C₂²	C₂⁶×C₃	1	1	yes	characteristic
846	C₄	—	2	3	no	—
847	C₄	—	2	3	no	—
848	C₄	—	2	6	no	—
849	C₄	—	2	2	no	—
850	C₄	—	2	12	no	—
851	C₄	—	2	6	no	—
852	C₄	—	2	6	no	—
853	C₄	—	2	6	no	—
854	C₃	#63046	1	1	yes	characteristic, direct product factor, Sylow
855	C₂	—	2	2	no	—
856	C₂	—	4	6	no	—
857	C₂	—	4	6	no	—
858	C₂	—	4	6	no	—
859	C₂	C₂×C₃×#585	1	1	yes	characteristic
860	C₂	C₃×H(7,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#3568	C₂	semidirect
2. C₃×#3561	C₂	semidirect
3. C₃×#3558	C₂	semidirect
4. C₃×#3545	C₂	semidirect
5. C₃×#3545	C₂	semidirect
6. C₃×#3540	C₂	semidirect
7. C₃×#3532	C₂	semidirect
8. C₃×#3529	C₂	semidirect
9. C₂×C₃×H(3,𝔽₄)	C₂	semidirect
10. C₃×#3514	C₂	semidirect
11. C₃×#3510	C₂	semidirect
12. C₃×#3490	C₂	semidirect
13. #63046	C₃	direct (N × H)
14. C₃×#563	C₂²	semidirect
15. C₃×#563	C₂²	semidirect
16. C₃×#563	C₂²	semidirect
17. C₃×#562	C₂²	semidirect
18. C₃×#562	C₂²	semidirect
19. C₃×#562	C₂²	semidirect
20. C₃×H(3,𝔽₄)	C₂²	semidirect
21. C₃×H(3,𝔽₄)	C₂²	semidirect
22. C₃×H(3,𝔽₄)	C₂²	semidirect
23. C₃×H(3,𝔽₄)	C₂²	semidirect
24. C₃×H(3,𝔽₄)	C₂²	semidirect
25. C₃×H(3,𝔽₄)	C₂²	semidirect
26. C₃×#560	C₂²	semidirect
27. C₃×#560	C₂²	semidirect
28. C₃×#559	C₂²	semidirect
29. C₃×#559	C₂²	semidirect
30. C₃×#556	C₂²	semidirect
31. C₃×#556	C₂²	semidirect
32. C₃×#556	C₂²	semidirect
33. C₃×#555	C₂²	semidirect
34. C₃×#555	C₂²	semidirect
35. C₃×#551	C₂²	semidirect
36. C₃×#551	C₂²	semidirect
37. C₃×#551	C₂²	semidirect
38. C₃×#551	C₂²	semidirect
39. C₃×#551	C₂²	semidirect
40. C₃×#551	C₂²	semidirect
41. C₃×#551	C₂²	semidirect
42. C₃×#551	C₂²	semidirect
43. C₃×D₄×Q₈	C₂²	semidirect
44. C₃×#548	C₂²	semidirect
45. C₃×#548	C₂²	semidirect
46. C₃×#548	C₂²	semidirect
47. C₃×#546	C₂²	semidirect
48. C₃×#546	C₂²	semidirect
49. C₃×#546	C₂²	semidirect
50. C₃×#546	C₂²	semidirect
51. C₃×#546	C₂²	semidirect
52. C₃×#546	C₂²	semidirect
53. C₃×#546	C₂²	semidirect
54. C₃×D₄²	C₂²	semidirect
55. C₃×D₄²	C₂²	semidirect
56. C₃×#543	C₂²	semidirect
57. C₃×#542	C₂²	semidirect
58. C₃×#542	C₂²	semidirect
59. C₃×#542	C₂²	semidirect
60. C₃×#542	C₂²	semidirect
61. C₃×#542	C₂²	semidirect
62. C₃×#542	C₂²	semidirect
63. C₃×#542	C₂²	semidirect
64. C₃×#538	C₂²	semidirect
65. C₃×#538	C₂²	semidirect
66. C₃×#538	C₂²	semidirect
67. C₃×#538	C₂²	semidirect
68. C₃×#538	C₂²	semidirect
69. C₃×#538	C₂²	semidirect
70. C₃×#538	C₂²	semidirect
71. C₃×#536	C₂²	semidirect
72. C₃×#536	C₂²	semidirect
74. C₃×#535	C₂²	semidirect
75. C₃×#534	C₂²	semidirect
76. C₃×#534	C₂²	semidirect
77. C₃×#533	C₂²	semidirect
78. C₃×#532	C₂²	semidirect
79. C₃×#529	C₂²	semidirect
80. C₃×#529	C₂²	semidirect
81. C₃×#529	C₂²	semidirect
82. C₃×#529	C₂²	semidirect
83. C₃×#529	C₂²	semidirect
84. C₂×C₃×#124	C₂²	semidirect
85. C₂×C₃×#124	C₂²	semidirect
86. C₂×C₃×#124	C₂²	semidirect
87. C₃×#525	C₂²	semidirect
88. C₃×#525	C₂²	semidirect
89. C₂×C₃×#120	C₂²	semidirect
90. C₂×C₃×#120	C₂²	semidirect
91. C₃×#519	C₂²	semidirect
92. C₃×#518	C₂²	semidirect
93. C₃×#518	C₂²	semidirect
94. C₃×C₄×#41	C₂²	semidirect
95. C₂²×C₃×C₂²⋊C₄	C₂²	semidirect
96. #3568	C₂×C₃	semidirect
97. #3561	C₂×C₃	semidirect
98. #3558	C₂×C₃	semidirect
99. #3545	C₂×C₃	semidirect
100. #3545	C₂×C₃	semidirect
101. #3540	C₂×C₃	semidirect
102. #3532	C₂×C₃	semidirect
103. #3529	C₂×C₃	semidirect
104. C₂×H(3,𝔽₄)	C₂×C₃	semidirect
105. #3514	C₂×C₃	semidirect
106. #3510	C₂×C₃	semidirect
107. #3490	C₂×C₃	semidirect
112. C₂×C₃×#41	C₂³	semidirect
115. C₂²×C₃×Q₈	C₂³	semidirect
120. C₂²×C₃×D₄	C₂³	semidirect
121. C₂³×C₃×C₄	C₂³	semidirect
122. C₃×C₄⋊Q₈	C₂³	semidirect
123. C₃×C₄⋊Q₈	C₂³	semidirect
124. C₃×C₄⋊Q₈	C₂³	semidirect
125. C₃×C₄⋊Q₈	C₂³	semidirect
128. C₃×#126	C₂³	semidirect
129. C₃×#126	C₂³	semidirect
130. C₃×#126	C₂³	semidirect
131. C₃×#126	C₂³	semidirect
132. C₃×#126	C₂³	semidirect
133. C₃×#126	C₂³	semidirect
134. C₃×#126	C₂³	semidirect
135. C₃×#126	C₂³	semidirect
136. C₃×#126	C₂³	semidirect
137. C₃×#125	C₂³	semidirect
138. C₃×#125	C₂³	semidirect
153. C₃×#124	C₂³	semidirect
154. C₃×#124	C₂³	semidirect
155. C₃×#124	C₂³	semidirect
156. C₃×#124	C₂³	semidirect
157. C₃×#124	C₂³	semidirect
158. C₃×#124	C₂³	semidirect
159. C₃×#124	C₂³	semidirect
160. C₃×#124	C₂³	semidirect
161. C₃×#124	C₂³	semidirect
168. C₃×#123	C₂³	semidirect
169. C₃×#123	C₂³	semidirect
170. C₃×#123	C₂³	semidirect
171. C₃×#123	C₂³	semidirect
172. C₃×#123	C₂³	semidirect
173. C₃×#123	C₂³	semidirect
174. C₃×#123	C₂³	semidirect
175. C₃×#123	C₂³	semidirect
176. C₃×#123	C₂³	semidirect
179. C₃×C₂²⋊Q₈	C₂³	semidirect
180. C₃×C₂²⋊Q₈	C₂³	semidirect
181. C₃×C₂²⋊Q₈	C₂³	semidirect
182. C₃×C₂²⋊Q₈	C₂³	semidirect
183. C₃×C₂²⋊Q₈	C₂³	semidirect
184. C₃×C₂²⋊Q₈	C₂³	semidirect
185. C₃×C₂²⋊Q₈	C₂³	semidirect
186. C₃×C₂²⋊Q₈	C₂³	semidirect
187. C₃×C₂²⋊Q₈	C₂³	semidirect
188. C₃×C₂²⋊Q₈	C₂³	semidirect
189. C₃×C₂²⋊Q₈	C₂³	semidirect
190. C₃×C₂²⋊Q₈	C₂³	semidirect
191. C₃×C₂²⋊Q₈	C₂³	semidirect
204. C₃×#121	C₂³	semidirect
205. C₃×#121	C₂³	semidirect
206. C₃×#121	C₂³	semidirect
207. C₃×#121	C₂³	semidirect
219. C₃×#120	C₂³	semidirect
220. C₃×#120	C₂³	semidirect
221. C₃×#120	C₂³	semidirect
222. C₃×C₄×Q₈	C₂³	semidirect
223. C₃×C₄×Q₈	C₂³	semidirect
224. C₃×C₄×Q₈	C₂³	semidirect
225. C₃×C₄×Q₈	C₂³	semidirect
226. C₃×C₄×Q₈	C₂³	semidirect
227. C₃×C₄×Q₈	C₂³	semidirect
228. C₃×C₄×Q₈	C₂³	semidirect
238. C₃×C₄×D₄	C₂³	semidirect
239. C₃×C₄×D₄	C₂³	semidirect
240. C₃×C₄×D₄	C₂³	semidirect
241. C₃×C₄×D₄	C₂³	semidirect
242. C₃×C₄×D₄	C₂³	semidirect
243. C₃×C₄×D₄	C₂³	semidirect
244. C₃×C₄×D₄	C₂³	semidirect
245. C₃×C₄×D₄	C₂³	semidirect
249. C₃×#117	C₂³	semidirect
250. C₃×#117	C₂³	semidirect
251. C₃×#117	C₂³	semidirect
252. C₃×#117	C₂³	semidirect
253. C₃×#117	C₂³	semidirect
254. C₃×#117	C₂³	semidirect
260. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
261. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
262. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
263. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
265. C₂×C₃×C₄²	C₂³	semidirect
266. #563	C₂²×C₃	semidirect
267. #563	C₂²×C₃	semidirect
268. #563	C₂²×C₃	semidirect
269. #562	C₂²×C₃	semidirect
270. #562	C₂²×C₃	semidirect
271. #562	C₂²×C₃	semidirect
272. H(3,𝔽₄)	C₂²×C₃	semidirect
273. H(3,𝔽₄)	C₂²×C₃	semidirect
274. H(3,𝔽₄)	C₂²×C₃	semidirect
275. H(3,𝔽₄)	C₂²×C₃	semidirect
276. H(3,𝔽₄)	C₂²×C₃	semidirect
277. H(3,𝔽₄)	C₂²×C₃	semidirect
278. #560	C₂²×C₃	semidirect
279. #560	C₂²×C₃	semidirect
280. #559	C₂²×C₃	semidirect
281. #559	C₂²×C₃	semidirect
282. #556	C₂²×C₃	semidirect
283. #556	C₂²×C₃	semidirect
284. #556	C₂²×C₃	semidirect
285. #555	C₂²×C₃	semidirect
286. #555	C₂²×C₃	semidirect
287. #551	C₂²×C₃	semidirect
288. #551	C₂²×C₃	semidirect
289. #551	C₂²×C₃	semidirect
290. #551	C₂²×C₃	semidirect
291. #551	C₂²×C₃	semidirect
292. #551	C₂²×C₃	semidirect
293. #551	C₂²×C₃	semidirect
294. #551	C₂²×C₃	semidirect
295. D₄×Q₈	C₂²×C₃	semidirect
296. #548	C₂²×C₃	semidirect
297. #548	C₂²×C₃	semidirect
298. #548	C₂²×C₃	semidirect
299. #546	C₂²×C₃	semidirect
300. #546	C₂²×C₃	semidirect
301. #546	C₂²×C₃	semidirect
302. #546	C₂²×C₃	semidirect
303. #546	C₂²×C₃	semidirect
304. #546	C₂²×C₃	semidirect
305. #546	C₂²×C₃	semidirect
306. D₄²	C₂²×C₃	semidirect
307. D₄²	C₂²×C₃	semidirect
308. #543	C₂²×C₃	semidirect
309. #542	C₂²×C₃	semidirect
310. #542	C₂²×C₃	semidirect
311. #542	C₂²×C₃	semidirect
312. #542	C₂²×C₃	semidirect
313. #542	C₂²×C₃	semidirect
314. #542	C₂²×C₃	semidirect
315. #542	C₂²×C₃	semidirect
316. #538	C₂²×C₃	semidirect
317. #538	C₂²×C₃	semidirect
318. #538	C₂²×C₃	semidirect
319. #538	C₂²×C₃	semidirect
320. #538	C₂²×C₃	semidirect
321. #538	C₂²×C₃	semidirect
322. #538	C₂²×C₃	semidirect
323. #536	C₂²×C₃	semidirect
324. #536	C₂²×C₃	semidirect
326. #535	C₂²×C₃	semidirect
327. #534	C₂²×C₃	semidirect
328. #534	C₂²×C₃	semidirect
329. #533	C₂²×C₃	semidirect
330. #532	C₂²×C₃	semidirect
331. #529	C₂²×C₃	semidirect
332. #529	C₂²×C₃	semidirect
333. #529	C₂²×C₃	semidirect
334. #529	C₂²×C₃	semidirect
335. #529	C₂²×C₃	semidirect
336. C₂×#124	C₂²×C₃	semidirect
337. C₂×#124	C₂²×C₃	semidirect
338. C₂×#124	C₂²×C₃	semidirect
339. #525	C₂²×C₃	semidirect
340. #525	C₂²×C₃	semidirect
341. C₂×#120	C₂²×C₃	semidirect
342. C₂×#120	C₂²×C₃	semidirect
343. #519	C₂²×C₃	semidirect
344. #518	C₂²×C₃	semidirect
345. #518	C₂²×C₃	semidirect
346. C₄×#41	C₂²×C₃	semidirect
347. C₂²×C₂²⋊C₄	C₂²×C₃	semidirect
449. C₂×#41	C₂³×C₃	semidirect
452. C₂²×Q₈	C₂³×C₃	semidirect
457. C₂²×D₄	C₂³×C₃	semidirect
458. C₂³×C₄	C₂³×C₃	semidirect
459. C₄⋊Q₈	C₂³×C₃	semidirect
460. C₄⋊Q₈	C₂³×C₃	semidirect
461. C₄⋊Q₈	C₂³×C₃	semidirect
462. C₄⋊Q₈	C₂³×C₃	semidirect
465. #126	C₂³×C₃	semidirect
466. #126	C₂³×C₃	semidirect
467. #126	C₂³×C₃	semidirect
468. #126	C₂³×C₃	semidirect
469. #126	C₂³×C₃	semidirect
470. #126	C₂³×C₃	semidirect
471. #126	C₂³×C₃	semidirect
472. #126	C₂³×C₃	semidirect
473. #126	C₂³×C₃	semidirect
474. #125	C₂³×C₃	semidirect
475. #125	C₂³×C₃	semidirect
490. #124	C₂³×C₃	semidirect
491. #124	C₂³×C₃	semidirect
492. #124	C₂³×C₃	semidirect
493. #124	C₂³×C₃	semidirect
494. #124	C₂³×C₃	semidirect
495. #124	C₂³×C₃	semidirect
496. #124	C₂³×C₃	semidirect
497. #124	C₂³×C₃	semidirect
498. #124	C₂³×C₃	semidirect
505. #123	C₂³×C₃	semidirect
506. #123	C₂³×C₃	semidirect
507. #123	C₂³×C₃	semidirect
508. #123	C₂³×C₃	semidirect
509. #123	C₂³×C₃	semidirect
510. #123	C₂³×C₃	semidirect
511. #123	C₂³×C₃	semidirect
512. #123	C₂³×C₃	semidirect
513. #123	C₂³×C₃	semidirect
516. C₂²⋊Q₈	C₂³×C₃	semidirect
517. C₂²⋊Q₈	C₂³×C₃	semidirect
518. C₂²⋊Q₈	C₂³×C₃	semidirect
519. C₂²⋊Q₈	C₂³×C₃	semidirect
520. C₂²⋊Q₈	C₂³×C₃	semidirect
521. C₂²⋊Q₈	C₂³×C₃	semidirect
522. C₂²⋊Q₈	C₂³×C₃	semidirect
523. C₂²⋊Q₈	C₂³×C₃	semidirect
524. C₂²⋊Q₈	C₂³×C₃	semidirect
525. C₂²⋊Q₈	C₂³×C₃	semidirect
526. C₂²⋊Q₈	C₂³×C₃	semidirect
527. C₂²⋊Q₈	C₂³×C₃	semidirect
528. C₂²⋊Q₈	C₂³×C₃	semidirect
541. #121	C₂³×C₃	semidirect
542. #121	C₂³×C₃	semidirect
543. #121	C₂³×C₃	semidirect
544. #121	C₂³×C₃	semidirect
556. #120	C₂³×C₃	semidirect
557. #120	C₂³×C₃	semidirect
558. #120	C₂³×C₃	semidirect
559. C₄×Q₈	C₂³×C₃	semidirect
560. C₄×Q₈	C₂³×C₃	semidirect
561. C₄×Q₈	C₂³×C₃	semidirect
562. C₄×Q₈	C₂³×C₃	semidirect
563. C₄×Q₈	C₂³×C₃	semidirect
564. C₄×Q₈	C₂³×C₃	semidirect
565. C₄×Q₈	C₂³×C₃	semidirect
575. C₄×D₄	C₂³×C₃	semidirect
576. C₄×D₄	C₂³×C₃	semidirect
577. C₄×D₄	C₂³×C₃	semidirect
578. C₄×D₄	C₂³×C₃	semidirect
579. C₄×D₄	C₂³×C₃	semidirect
580. C₄×D₄	C₂³×C₃	semidirect
581. C₄×D₄	C₂³×C₃	semidirect
582. C₄×D₄	C₂³×C₃	semidirect
586. #117	C₂³×C₃	semidirect
587. #117	C₂³×C₃	semidirect
588. #117	C₂³×C₃	semidirect
589. #117	C₂³×C₃	semidirect
590. #117	C₂³×C₃	semidirect
591. #117	C₂³×C₃	semidirect
597. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
598. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
599. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
600. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
602. C₂×C₄²	C₂³×C₃	semidirect
854. C₃	#63046	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×#3568	2
C₃×#3561	2
C₃×#3558	2
C₃×#3545	2
C₃×#3540	2
C₃×#3532	2
C₃×#3529	2
C₂×C₃×H(3,𝔽₄)	2
C₃×#3514	2
C₃×#3510	2
C₃×#3490	2
#63046	3

Subgroups — C3×#63046 #10681653

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#63046 #10681653