Subgroups — #30612198

Order 15616.

634 conjugacy classes of subgroups.

The subgroup lattice has 412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21462515	C₂	1	1	yes	maximal, characteristic
2	#21462464	C₂	1	1	yes	maximal, characteristic
3	#21461395	C₂	1	2	yes	maximal, complemented
4	#21461394	C₂	1	2	yes	maximal, complemented
5	#21461389	C₂	1	1	yes	maximal, characteristic, complemented
6	#21461387	C₂	1	1	yes	maximal, characteristic, complemented
7	#21461383	C₂	1	2	yes	maximal, complemented
8	#21461377	C₂	1	1	yes	maximal, characteristic, complemented
9	#21461370	C₂	1	2	yes	maximal, complemented
10	D₆₁⋊#334	C₂	1	1	yes	maximal, characteristic, complemented
11	#21454782	C₂	1	1	yes	maximal, characteristic
12	C₂×#14519864	—	2	1	no	—
13	#16840786	—	2	2	no	—
14	#16840783	C₂²	1	2	yes	—
15	#16840778	C₂²	1	2	yes	—
16	#16840769	—	2	1	no	—
17	#16840768	—	2	2	no	—
18	#16840766	C₂²	1	1	yes	characteristic
19	#16840766	C₂²	1	1	yes	characteristic
20	#16840765	C₂²	1	2	yes	—
21	D₆₁⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic
22	D₆₁⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic
23	C₂×C₄⋊#92420	C₂²	1	2	yes	—
24	#16840736	—	2	1	no	—
25	#16840727	—	2	1	no	—
26	#16840626	C₂²	1	2	yes	—
27	#16840625	C₂²	1	2	yes	—
28	#16840625	C₂²	1	2	yes	—
29	#16840625	C₂²	1	2	yes	—
30	#16840624	C₂²	1	1	yes	characteristic
31	#16840624	C₂²	1	1	yes	characteristic
32	#16840624	C₂²	1	2	yes	—
33	#16840623	C₂²	1	1	yes	characteristic
34	#16840623	C₂²	1	1	yes	characteristic
35	#16840623	C₂²	1	2	yes	—
36	C₄×#11758224	C₂²	1	1	yes	characteristic
37	#16839892	C₄	1	1	yes	characteristic
38	#16839889	C₄	1	1	yes	characteristic
39	#16839840	C₄	1	1	yes	characteristic
40	#16839836	C₄	1	2	yes	—
41	#16839831	C₄	1	2	yes	—
42	#16839814	C₂²	1	1	yes	characteristic
43	#16839812	C₂²	1	2	yes	—
44	M₁₆×Dic₆₁	C₂²	1	2	yes	—
45	C₄×C₈×D₆₁	C₂²	1	1	yes	characteristic
46	C₆₁×#436	C₄	1	1	yes	characteristic
47	#14519864	—	4	4	no	—
48	C₂×#11758213	—	2	1	no	—
49	C₂×#11758213	—	2	1	no	—
50	C₂×#11758217	—	2	2	no	—
51	C₂×D₆₁⋊C₈	—	2	1	no	—
52	C₂×D₆₁⋊C₈	—	2	1	no	—
53	C₂²×#92420	—	2	2	no	—
54	#14519844	—	2	1	no	—
55	#14519844	—	2	1	no	—
56	#14519844	—	2	2	no	—
57	C₄⋊#92420	—	2	2	no	—
58	C₄⋊#92420	—	2	1	no	—
59	C₄⋊#92420	—	2	1	no	—
60	C₄⋊#92420	C₂³	1	1	yes	characteristic
61	C₄⋊#92420	C₂³	1	2	yes	—
62	C₄⋊#92420	C₂³	1	1	yes	characteristic
63	C₄⋊#92420	C₂³	1	1	yes	characteristic
64	C₄⋊#92420	C₂³	1	1	yes	characteristic
65	C₄⋊#92420	C₂³	1	2	yes	—
66	C₂²⋊#92420	—	2	2	no	—
67	C₂²⋊#92420	—	2	2	no	—
68	#14519832	—	2	2	no	—
69	C₄×#92420	—	2	2	no	—
70	C₂×#11758224	D₄	1	1	yes	characteristic
71	C₂×#11758194	C₂×C₄	1	2	yes	—
72	C₂×C₈×D₆₁	C₂×C₄	1	1	yes	characteristic
73	C₂×C₈×D₆₁	C₂×C₄	1	1	yes	characteristic
74	C₄×Dic₁₂₂	C₂×C₄	1	1	yes	characteristic
75	#14519742	Q₈	1	1	yes	characteristic
76	D₄×Dic₆₁	Q₈	1	1	yes	characteristic
77	C₄×C₂²⋊D₆₁	C₂×C₄	1	2	yes	—
78	#14519737	Q₈	1	2	yes	—
79	#14519735	D₄	1	1	yes	characteristic
80	#14519733	D₄	1	2	yes	—
81	C₂×C₄×Dic₆₁	C₂³	1	2	yes	—
82	C₄²×D₆₁	C₂³	1	1	yes	characteristic
83	C₄⋊#92418	C₂×C₄	1	1	yes	characteristic
84	#14519706	C₂×C₄	1	2	yes	—
85	#14519706	C₂×C₄	1	2	yes	—
86	C₂²⋊#92418	C₂×C₄	1	2	yes	—
87	#14519689	C₂×C₄	1	2	yes	—
88	#14519687	C₂×C₄	1	2	yes	—
89	#14519687	C₂×C₄	1	2	yes	—
90	C₄×#92418	C₂×C₄	1	1	yes	characteristic
91	C₈×Dic₆₁	C₂³	1	1	yes	characteristic
92	C₈×Dic₆₁	C₂³	1	1	yes	characteristic
93	C₈×Dic₆₁	C₂³	1	2	yes	—
94	C₂×M₁₆×C₆₁	C₂×C₄	1	2	yes	—
95	C₄×D₄×C₆₁	C₂×C₄	1	1	yes	characteristic
96	C₄⋊C₈×C₆₁	C₂×C₄	1	1	yes	characteristic
97	C₂²⋊C₈×C₆₁	C₂×C₄	1	2	yes	—
98	C₄×C₈×C₆₁	C₂×C₄	1	1	yes	characteristic
99	C₂×D₄×C₆₁	C₄⋊C₄	1	1	yes	characteristic
100	C₂²×C₄×C₆₁	C₂²×C₄	1	2	yes	—
101	C₂×C₂²⋊D₆₁	C₄⋊C₄	1	2	yes	—
102	C₂²×Dic₆₁	C₂×D₄	1	2	yes	—
103	C₂²×Dic₆₁	C₂×Q₈	1	2	yes	—
104	#11758224	—	2	2	no	—
105	#11758224	—	2	2	no	—
106	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
107	C₂×C₄×D₆₁	C₂×D₄	1	1	yes	characteristic
108	C₂×C₄×D₆₁	C₂×Q₈	1	1	yes	characteristic
109	C₂×Dic₁₂₂	C₄⋊C₄	1	1	yes	characteristic
110	#11758217	—	4	4	no	—
111	C₂×#92420	—	2	1	no	—
112	C₂×#92420	—	2	2	no	—
113	C₂×#92420	—	2	1	no	—
114	C₂×#92420	—	2	1	no	—
115	C₂×#92420	—	2	2	no	—
116	C₂×#92420	—	2	1	no	—
117	C₂×#92420	—	4	4	no	—
118	#11758213	—	4	2	no	—
119	#11758213	—	4	2	no	—
120	D₆₁⋊C₈	—	4	2	no	—
121	D₆₁⋊C₈	—	4	2	no	—
122	M₁₆×C₆₁	—	2	4	no	—
123	C₂×C₈×C₆₁	C₂²×C₄	1	1	yes	characteristic
124	C₂×C₈×C₆₁	C₂²×C₄	1	2	yes	—
125	C₂×C₈×C₆₁	C₂²×C₄	1	1	yes	characteristic
126	C₄⋊C₄×C₆₁	C₄⋊C₄	1	1	yes	characteristic
127	C₂²⋊C₄×C₆₁	C₄⋊C₄	1	2	yes	—
128	C₄²×C₆₁	C₂²×C₄	1	1	yes	characteristic
129	C₂²⋊Dic₆₁	C₄⋊C₄	1	2	yes	—
130	#11758198	C₄⋊C₄	1	2	yes	—
131	C₄⋊Dic₆₁	C₄⋊C₄	1	1	yes	characteristic
132	#11758196	C₄⋊C₄	1	2	yes	—
133	#11758196	C₄⋊C₄	1	2	yes	—
134	C₄×Dic₆₁	C₂²×C₄	1	2	yes	—
135	C₄×Dic₆₁	C₂×D₄	1	2	yes	—
136	C₄×Dic₆₁	C₂×D₄	1	1	yes	characteristic
137	C₄×Dic₆₁	C₂×Q₈	1	1	yes	characteristic
138	C₄×Dic₆₁	C₂×Q₈	1	2	yes	—
139	C₄×Dic₆₁	C₂⁴	1	1	yes	characteristic
140	#11758194	—	4	2	no	—
141	C₂×#92418	C₂²×C₄	1	1	yes	characteristic
142	C₂×#92418	C₂²×C₄	1	1	yes	characteristic
143	C₂×#92418	C₂²×C₄	1	2	yes	—
144	C₈×D₆₁	—	2	2	no	—
145	C₈×D₆₁	—	4	1	no	—
146	C₂³×C₆₁	C₂×C₄⋊C₄	1	2	yes	—
147	C₂²×D₆₁	C₂×C₄⋊C₄	1	1	yes	characteristic
148	D₄×C₆₁	—	2	2	no	—
149	C₂×C₄×C₆₁	—	2	2	no	—
150	C₂×C₄×C₆₁	—	2	2	no	—
151	C₂×C₄×C₆₁	C₂×C₄⋊C₄	1	2	yes	—
152	C₂×C₄×C₆₁	C₂×C₄⋊C₄	1	1	yes	characteristic
153	C₂×C₄×C₆₁	C₂×C₄⋊C₄	1	1	yes	characteristic
154	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
155	C₂²⋊D₆₁	—	2	4	no	—
156	C₂×Dic₆₁	—	2	2	no	—
157	C₂×Dic₆₁	—	2	2	no	—
158	C₂×Dic₆₁	—	4	2	no	—
159	C₂×Dic₆₁	C₂×C₄⋊C₄	1	2	yes	—
160	C₂×Dic₆₁	C₂×C₄⋊C₄	1	2	yes	—
161	C₂×Dic₆₁	C₂×C₄⋊C₄	1	1	yes	characteristic
162	C₂×Dic₆₁	C₂²×D₄	1	1	yes	characteristic
163	C₂×Dic₆₁	C₂²×Q₈	1	1	yes	characteristic
164	C₄×D₆₁	—	2	1	no	—
165	C₄×D₆₁	—	2	1	no	—
166	C₄×D₆₁	—	4	1	no	—
167	C₄×D₆₁	AGL(1,ℤ/8)	1	2	yes	—
168	C₄×D₆₁	#137	1	2	yes	—
169	Dic₁₂₂	—	2	2	no	—
170	#92420	—	4	1	no	—
171	#92420	—	4	1	no	—
172	#92420	—	4	2	no	—
173	#92420	—	4	2	no	—
174	#92420	—	4	1	no	—
175	#92420	—	4	1	no	—
176	C₈×C₆₁	—	2	2	no	—
177	C₈×C₆₁	—	2	1	no	—
178	C₈×C₆₁	#131	1	2	yes	complemented
179	#92418	—	2	1	no	—
180	#92418	—	2	1	no	—
181	#92418	—	2	2	no	—
182	#17830	—	61	1	no	maximal, Sylow
183	C₂²×C₆₁	—	2	2	no	—
184	C₂²×C₆₁	—	2	2	no	—
185	C₂²×C₆₁	—	2	2	no	—
186	C₂²×C₆₁	C₂²×C₄⋊C₄	1	1	yes	characteristic
187	C₂×D₆₁	—	2	1	no	—
188	C₂×D₆₁	—	2	1	no	—
189	C₂×D₆₁	#428	1	2	yes	—
190	C₄×C₆₁	—	2	2	no	—
191	C₄×C₆₁	—	2	1	no	—
192	C₄×C₆₁	#428	1	2	yes	—
193	C₄×C₆₁	C₂×#131	1	1	yes	characteristic
194	C₄×C₆₁	#568	1	1	yes	characteristic
195	Dic₆₁	—	2	1	no	—
196	Dic₆₁	—	2	2	no	—
197	Dic₆₁	—	2	1	no	—
198	Dic₆₁	—	2	2	no	—
199	Dic₆₁	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
200	Dic₆₁	C₂×#137	1	1	yes	characteristic
201	#2965	—	61	1	no	—
202	#2925	—	61	1	no	—
203	#2906	—	61	1	no	—
204	#1574	—	61	2	no	—
205	#1573	—	61	2	no	—
206	#1571	—	61	1	no	—
207	#1570	—	61	1	no	—
208	#1569	—	61	2	no	—
209	#1567	—	61	1	no	—
210	#1565	—	61	2	no	—
211	C₂×#334	—	61	1	no	—
212	C₂×C₆₁	—	4	2	no	—
213	C₂×C₆₁	#2906	1	1	yes	characteristic
214	C₂×C₆₁	C₂×#428	1	1	yes	characteristic
215	C₂×C₆₁	#2916	1	1	yes	characteristic
216	D₆₁	—	2	2	no	—
217	C₂×#131	—	122	1	no	—
218	C₄×#41	—	61	1	no	—
219	#446	—	61	1	no	—
220	#446	—	61	1	no	—
221	#436	—	61	1	no	—
222	#436	#6923	1	1	yes	characteristic
223	#435	—	61	2	no	—
224	#435	—	61	2	no	—
225	#433	—	122	2	no	—
226	#432	—	61	2	no	—
227	#431	—	61	1	no	—
228	#431	—	61	2	no	—
229	#431	—	61	2	no	—
230	#424	—	122	2	no	—
231	#424	—	122	1	no	—
232	#423	—	61	1	no	—
233	#423	—	61	1	no	—
234	#423	—	61	2	no	—
235	C₂×C₄⋊C₈	—	61	1	no	—
236	C₂×C₄⋊C₈	—	61	1	no	—
237	C₂×C₄⋊C₈	—	61	2	no	—
238	#408	—	122	1	no	—
239	#405	—	122	1	no	—
240	C₄×M₁₆	—	61	2	no	—
241	C₂×C₄×C₈	—	61	1	no	—
242	#335	—	61	2	no	—
243	#335	—	61	2	no	—
244	#335	—	61	2	no	—
245	#335	—	61	2	no	—
246	#334	—	61	1	no	—
247	#334	—	61	1	no	—
248	#334	—	61	1	no	—
249	#334	—	61	1	no	—
250	#334	—	61	2	no	—
251	#334	—	61	2	no	—
252	C₆₁	#17830	1	1	yes	characteristic, complemented, Sylow
253	C₂×#41	—	61	1	no	—
254	#131	—	244	4	no	—
255	C₂×M₁₆	—	61	2	no	—
256	C₂×M₁₆	—	122	2	no	—
257	C₂×M₁₆	—	122	1	no	—
258	C₂×M₁₆	—	122	1	no	—
259	C₂×M₁₆	C₂×#6923	1	2	yes	—
260	C₂²×C₈	—	61	1	no	—
261	C₂²×C₈	—	61	1	no	—
262	C₂²×C₈	—	122	2	no	—
263	C₂²×C₈	—	122	1	no	—
264	C₂²×C₈	—	122	1	no	—
265	C₄×Q₈	—	61	1	no	—
266	C₄×Q₈	—	61	1	no	—
267	C₄×D₄	—	61	1	no	—
268	C₄×D₄	—	61	2	no	—
269	C₄×D₄	—	61	2	no	—
270	C₄×D₄	C₂×#6923	1	1	yes	characteristic
271	#117	—	61	1	no	—
272	#117	—	61	2	no	—
273	C₂×C₄²	—	61	2	no	—
274	C₂×C₄²	—	61	1	no	—
275	C₄⋊C₈	—	61	2	no	—
276	C₄⋊C₈	—	61	2	no	—
277	C₄⋊C₈	—	61	1	no	—
278	C₄⋊C₈	—	61	1	no	—
279	C₄⋊C₈	—	61	1	no	—
280	C₄⋊C₈	—	61	2	no	—
281	C₄⋊C₈	—	61	1	no	—
282	C₄⋊C₈	—	61	2	no	—
283	C₄⋊C₈	—	61	1	no	—
284	C₄⋊C₈	—	122	2	no	—
285	C₄⋊C₈	—	122	1	no	—
286	C₄⋊C₈	—	122	1	no	—
287	C₄⋊C₈	—	122	1	no	—
288	C₄⋊C₈	—	122	1	no	—
289	C₄⋊C₈	—	122	2	no	—
290	C₄⋊C₈	C₂×#6923	1	1	yes	characteristic
291	C₂²⋊C₈	—	61	2	no	—
292	C₂²⋊C₈	—	61	2	no	—
293	C₂²⋊C₈	—	122	2	no	—
294	C₂²⋊C₈	—	122	2	no	—
295	C₂²⋊C₈	C₂×#6923	1	2	yes	—
296	#97	—	61	2	no	—
297	#97	—	61	2	no	—
298	#97	—	122	2	no	—
299	C₄×C₈	—	61	1	no	—
300	C₄×C₈	—	61	1	no	—
301	C₄×C₈	—	61	2	no	—
302	C₄×C₈	—	61	1	no	—
303	C₄×C₈	—	122	2	no	—
304	C₄×C₈	C₂×#6923	1	1	yes	characteristic
305	#41	—	122	2	no	—
306	#41	—	122	2	no	—
307	C₂×Q₈	—	61	1	no	—
308	C₂×D₄	—	61	2	no	—
309	C₂×D₄	C₄⋊#6923	1	1	yes	characteristic
310	C₂²×C₄	—	61	1	no	—
311	C₂²×C₄	—	61	2	no	—
312	C₂²×C₄	—	61	2	no	—
313	C₂²×C₄	—	61	1	no	—
314	C₂²×C₄	—	61	1	no	—
315	C₂²×C₄	C₂²×#6923	1	2	yes	—
316	M₁₆	—	2	4	no	—
317	M₁₆	—	244	2	no	—
318	M₁₆	—	244	2	no	—
319	M₁₆	—	244	2	no	—
320	M₁₆	—	244	4	no	—
321	C₂×C₈	—	61	1	no	—
322	C₂×C₈	—	61	1	no	—
323	C₂×C₈	—	61	2	no	—
324	C₂×C₈	—	122	2	no	—
325	C₂×C₈	—	122	1	no	—
326	C₂×C₈	—	122	2	no	—
327	C₂×C₈	—	122	1	no	—
328	C₂×C₈	—	122	1	no	—
329	C₂×C₈	—	122	2	no	—
330	C₂×C₈	—	122	1	no	—
331	C₂×C₈	—	244	1	no	—
332	C₂×C₈	—	244	2	no	—
333	C₂×C₈	—	244	2	no	—
334	C₂×C₈	—	244	4	no	—
335	C₂×C₈	C₂²×#6923	1	1	yes	characteristic
336	C₂×C₈	C₂²×#6923	1	2	yes	—
337	C₂×C₈	C₂²×#6923	1	1	yes	characteristic
338	C₄⋊C₄	—	61	2	no	—
339	C₄⋊C₄	—	61	2	no	—
340	C₄⋊C₄	—	61	1	no	—
341	C₄⋊C₄	C₄⋊#6923	1	1	yes	characteristic
342	C₂²⋊C₄	—	61	2	no	—
343	C₂²⋊C₄	—	61	2	no	—
344	C₂²⋊C₄	C₄⋊#6923	1	2	yes	—
345	C₄²	—	61	2	no	—
346	C₄²	—	61	1	no	—
347	C₄²	—	61	1	no	—
348	C₄²	—	61	2	no	—
349	C₄²	—	61	1	no	—
350	C₄²	—	61	2	no	—
351	C₄²	C₂²×#6923	1	1	yes	characteristic
352	C₂³	—	61	1	no	—
353	C₂³	C₂×C₄⋊#6923	1	2	yes	—
354	Q₈	—	122	2	no	—
355	D₄	—	2	2	no	—
356	D₄	—	122	4	no	—
357	C₂×C₄	—	2	2	no	—
358	C₂×C₄	—	2	2	no	—
359	C₂×C₄	—	61	1	no	—
360	C₂×C₄	—	61	2	no	—
361	C₂×C₄	—	61	2	no	—
362	C₂×C₄	—	61	1	no	—
363	C₂×C₄	—	61	2	no	—
364	C₂×C₄	—	61	2	no	—
365	C₂×C₄	—	61	1	no	—
366	C₂×C₄	—	122	2	no	—
367	C₂×C₄	—	122	2	no	—
368	C₂×C₄	—	122	1	no	—
369	C₂×C₄	—	122	1	no	—
370	C₂×C₄	—	244	1	no	—
371	C₂×C₄	—	244	2	no	—
372	C₂×C₄	C₂×C₄⋊#6923	1	2	yes	—
373	C₂×C₄	C₂×C₄⋊#6923	1	1	yes	characteristic
374	C₂×C₄	C₂×C₄⋊#6923	1	1	yes	characteristic
375	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
376	C₈	—	2	2	no	—
377	C₈	—	2	1	no	—
378	C₈	—	122	1	no	—
379	C₈	—	122	1	no	—
380	C₈	—	122	2	no	—
381	C₈	—	244	1	no	—
382	C₈	—	244	1	no	—
383	C₈	—	244	1	no	—
384	C₈	—	244	1	no	—
385	C₈	—	244	2	no	—
386	C₈	—	244	2	no	—
387	C₈	#14519864	1	2	yes	complemented
388	C₂²	—	2	2	no	—
389	C₂²	—	2	2	no	—
390	C₂²	—	2	2	no	—
391	C₂²	—	61	2	no	—
392	C₂²	—	122	1	no	—
393	C₂²	—	122	1	no	—
394	C₂²	C₂²×C₄⋊#6923	1	1	yes	characteristic
395	C₄	—	2	2	no	—
396	C₄	—	2	1	no	—
397	C₄	—	61	1	no	—
398	C₄	—	61	1	no	—
399	C₄	—	122	1	no	—
400	C₄	—	122	2	no	—
401	C₄	—	122	2	no	—
402	C₄	—	122	1	no	—
403	C₄	#16840773	1	2	yes	—
404	C₄	C₂×#14519864	1	1	yes	characteristic
405	C₄	#16840841	1	1	yes	characteristic
406	C₂	—	4	2	no	—
407	C₂	—	122	2	no	—
408	C₂	#21462464	1	1	yes	characteristic
409	C₂	C₂×#16840773	1	1	yes	characteristic
410	C₂	#21462481	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×C₄⋊#6923
commutator	C₂×C₄×C₆₁	C₂³×C₄
Frattini	C₂×C₄	C₂³×#6923
Fitting	C₆₁×#436	C₄
socle	C₂²×C₆₁	C₂²×C₄⋊C₄
prime radical	C₂×#11758224	D₄
cosocle	C₄×Dic₆₁	C₂⁴
hypercenter	#436	#6923
hypocenter	C₆₁	#17830
LCS	G ▷ C₂×C₄×C₆₁ ▷ C₂×C₆₁ ▷ C₆₁
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #436

Complements

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

N	H ≅ G/N	type
3. #21461395	C₂	semidirect
4. #21461394	C₂	semidirect
5. #21461389	C₂	semidirect
6. #21461387	C₂	semidirect
7. #21461383	C₂	semidirect
8. #21461377	C₂	semidirect
9. #21461370	C₂	semidirect
10. D₆₁⋊#334	C₂	semidirect
178. C₈×C₆₁	#131	semidirect
252. C₆₁	#17830	semidirect
387. C₈	#14519864	semidirect

Maximal subgroups

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

subgroup	index
#21462515	2
#21462464	2
#21461395	2
#21461394	2
#21461389	2
#21461387	2
#21461383	2
#21461377	2
#21461370	2
D₆₁⋊#334	2
#21454782	2
#17830	61