Subgroups — #36707851

Order 22784.

642 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19152028	C₂	1	1	yes	maximal, characteristic
2	#26029169	C₂	1	1	yes	maximal, characteristic, complemented
3	#26029168	C₂	1	1	yes	maximal, characteristic, complemented
4	#26022135	C₂	1	4	yes	maximal, complemented
5	#26022130	C₂	1	4	yes	maximal, complemented
6	C₂×#19151427	C₂	1	1	yes	maximal, characteristic, complemented
7	#26021981	C₂	1	1	yes	maximal, characteristic, complemented
8	#26021851	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₉×#2143	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#15668034	C₂²	1	1	yes	characteristic
11	#19152365	—	2	1	no	—
12	#19152364	—	2	1	no	—
13	#19152028	C₄	1	2	yes	complemented
14	#19152028	C₄	1	2	yes	complemented
15	#19152028	C₂²	1	2	yes	—
16	#19152028	C₂²	1	2	yes	—
17	C₂×#15667958	C₄	1	1	yes	characteristic, complemented
18	C₂×#15667956	C₄	1	1	yes	characteristic, complemented
19	C₂×#15667955	C₄	1	1	yes	characteristic, complemented
20	C₂×#15667953	C₄	1	1	yes	characteristic, complemented
21	C₂²×#13083549	C₂²	1	1	yes	characteristic
22	#19151720	—	2	2	no	—
23	#19151719	—	2	2	no	—
24	#19151715	C₂²	1	4	yes	complemented
25	#19151714	C₂²	1	4	yes	complemented
26	C₂×#15667948	C₂²	1	1	yes	characteristic
27	#19151615	—	2	1	no	—
28	#19151614	—	2	1	no	—
29	#19151553	C₂²	1	1	yes	characteristic
30	#19151427	C₂²	1	2	yes	complemented
31	#19151427	C₂²	1	2	yes	complemented
32	#19151406	C₂²	1	4	yes	complemented
33	#19151373	C₂²	1	2	yes	complemented
34	C₁₆×Dic₈₉	C₂²	1	2	yes	complemented
35	C₂×#135×C₈₉	C₂²	1	1	yes	characteristic
36	C₂×M₃₂×C₈₉	C₂²	1	1	yes	characteristic
37	C₂×#108×C₈₉	C₂²	1	1	yes	characteristic
38	#359×C₈₉	C₂²	1	4	yes	complemented
39	C₂×#13083574	—	2	1	no	—
40	#15668034	—	2	1	no	—
41	#15668034	—	2	1	no	—
42	#15668034	C₂×C₄	1	2	yes	—
43	#15668034	C₂³	1	2	yes	—
44	C₂×Dic₃₅₆	C₂×C₄	1	1	yes	characteristic
45	C₂×#13083563	—	2	1	no	—
46	C₂×D₇₁₂	C₂×C₄	1	1	yes	characteristic
47	#15668020	—	2	4	no	—
48	#15668019	—	2	4	no	—
49	#15668019	—	4	2	no	—
50	#15668018	—	4	2	no	—
51	C₂×#13083558	—	2	1	no	—
52	C₂×#13083558	—	4	2	no	—
53	C₂×#13083558	D₄	1	1	yes	characteristic
54	M₁₆×D₈₉	—	4	2	no	—
55	#15667971	D₄	1	1	yes	characteristic
56	#15667958	C₂×C₄	1	2	yes	—
57	#15667958	C₂×C₄	1	2	yes	—
58	#15667956	C₂×C₄	1	2	yes	—
59	#15667956	C₂×C₄	1	2	yes	—
60	#15667955	C₂×C₄	1	2	yes	—
61	#15667955	C₂×C₄	1	2	yes	—
62	#15667953	C₂×C₄	1	2	yes	—
63	#15667953	C₂×C₄	1	2	yes	—
64	C₂×#13083549	C₂×C₄	1	1	yes	characteristic
65	C₂×#13083549	C₂×C₄	1	1	yes	characteristic
66	C₂×#13083549	C₂×C₄	1	1	yes	characteristic
67	C₂×#13083549	C₂×C₄	1	1	yes	characteristic
68	C₂×#13083549	C₂³	1	1	yes	characteristic
69	C₂×#13083549	C₂³	1	1	yes	characteristic
70	#15667948	—	2	1	no	—
71	#15667948	C₂³	1	2	yes	—
72	#15667939	—	2	4	no	—
73	#15667938	—	2	4	no	—
74	#15667922	D₄	1	2	yes	—
75	C₈×Dic₈₉	C₂³	1	2	yes	—
76	C₂×#41×C₈₉	—	2	1	no	—
77	#135×C₈₉	—	2	1	no	—
78	#135×C₈₉	—	2	1	no	—
79	#135×C₈₉	C₂×C₄	1	2	yes	—
80	#135×C₈₉	C₂³	1	2	yes	—
81	C₂×Q₁₆×C₈₉	C₂×C₄	1	1	yes	characteristic
82	C₂×SD₁₆×C₈₉	—	2	1	no	—
83	C₂×D₈×C₈₉	C₂×C₄	1	1	yes	characteristic
84	C₂×M₁₆×C₈₉	—	2	1	no	—
85	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
86	M₃₂×C₈₉	—	2	1	no	—
87	M₃₂×C₈₉	—	2	1	no	—
88	C₂×C₁₆×C₈₉	C₂³	1	2	yes	—
89	#108×C₈₉	—	2	1	no	—
90	#108×C₈₉	C₂³	1	2	yes	—
91	#13083574	—	2	2	no	—
92	#13083574	—	2	2	no	—
93	#13083574	—	4	1	no	—
94	#13083574	—	4	1	no	—
95	C₂×Dic₁₇₈	—	2	1	no	—
96	C₂×D₃₅₆	—	2	1	no	—
97	C₂×C₂²⋊D₈₉	—	4	1	no	—
98	C₂×C₄×D₈₉	—	4	1	no	—
99	Dic₃₅₆	—	2	1	no	—
100	Dic₃₅₆	C₂²×C₄	1	2	yes	—
101	#13083563	—	2	2	no	—
102	#13083563	—	2	2	no	—
103	D₇₁₂	—	2	1	no	—
104	D₇₁₂	C₂²×C₄	1	2	yes	—
105	#13083558	—	2	2	no	—
106	#13083558	—	4	1	no	—
107	#13083558	—	4	4	no	—
108	#13083558	D₈	1	2	yes	—
109	#13083558	D₈	1	2	yes	—
110	#13083557	—	4	4	no	—
111	C₂×#10623494	—	4	1	no	—
112	C₂×#10623494	—	4	4	no	—
113	C₂×#10623494	C₂×D₄	1	2	yes	—
114	C₈×D₈₉	—	4	4	no	—
115	C₄⋊Dic₈₉	—	2	1	no	—
116	C₂²⋊Dic₈₉	—	2	1	no	—
117	C₄×Dic₈₉	C₂×D₄	1	2	yes	—
118	#13083549	C₂²×C₄	1	1	yes	characteristic
119	#13083549	C₂²×C₄	1	1	yes	characteristic
120	#13083549	C₂²×C₄	1	1	yes	characteristic
121	#13083549	C₂²×C₄	1	1	yes	characteristic
122	#41×C₈₉	—	2	2	no	—
123	#41×C₈₉	—	2	2	no	—
124	#41×C₈₉	—	4	1	no	—
125	#41×C₈₉	—	4	1	no	—
126	C₂×Q₈×C₈₉	—	2	1	no	—
127	C₂×D₄×C₈₉	—	2	1	no	—
128	C₂×D₄×C₈₉	—	4	1	no	—
129	C₂²×C₄×C₈₉	—	4	1	no	—
130	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
131	Q₁₆×C₈₉	—	2	1	no	—
132	Q₁₆×C₈₉	C₂²×C₄	1	2	yes	—
133	SD₁₆×C₈₉	—	2	2	no	—
134	SD₁₆×C₈₉	—	2	2	no	—
135	D₈×C₈₉	—	2	1	no	—
136	D₈×C₈₉	C₂²×C₄	1	2	yes	—
137	M₁₆×C₈₉	—	2	2	no	—
138	M₁₆×C₈₉	—	4	1	no	—
139	C₂×C₈×C₈₉	—	4	1	no	—
140	C₂×C₈×C₈₉	C₂²×C₄	1	1	yes	characteristic
141	C₂×C₈×C₈₉	C₂²×C₄	1	1	yes	characteristic
142	C₂×C₈×C₈₉	C₂×D₄	1	1	yes	characteristic
143	C₂×C₈×C₈₉	#41	1	1	yes	characteristic
144	C₂×C₈×C₈₉	#41	1	1	yes	characteristic
145	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
146	C₁₆×C₈₉	—	2	2	no	—
147	C₂³×C₈₉	—	4	1	no	—
148	C₂³×C₈₉	#135	1	1	yes	characteristic
149	C₂²×D₈₉	—	4	1	no	—
150	Q₈×C₈₉	—	2	2	no	—
151	Q₈×C₈₉	—	4	1	no	—
152	D₄×C₈₉	—	2	2	no	—
153	D₄×C₈₉	—	4	2	no	—
154	D₄×C₈₉	—	4	2	no	—
155	D₄×C₈₉	—	4	1	no	—
156	C₂×C₄×C₈₉	—	4	1	no	—
157	C₂×C₄×C₈₉	—	4	2	no	—
158	C₂×C₄×C₈₉	—	4	2	no	—
159	C₂×C₄×C₈₉	C₄×D₄	1	1	yes	characteristic
160	C₂×C₄×C₈₉	C₄×D₄	1	1	yes	characteristic
161	C₂×C₄×C₈₉	C₂×D₈	1	1	yes	characteristic
162	C₂×C₄×C₈₉	C₂×D₈	1	1	yes	characteristic
163	C₂×C₄×C₈₉	#135	1	1	yes	characteristic
164	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
165	C₂²⋊D₈₉	—	4	2	no	—
166	C₂²⋊D₈₉	—	4	2	no	—
167	C₂×Dic₈₉	—	2	2	no	—
168	C₂×Dic₈₉	—	4	1	no	—
169	D₃₅₆	—	2	2	no	—
170	D₃₅₆	—	4	1	no	—
171	C₄×D₈₉	—	4	2	no	—
172	C₄×D₈₉	—	4	2	no	—
173	Dic₁₇₈	—	2	2	no	—
174	Dic₁₇₈	—	4	1	no	—
175	C₈×C₈₉	—	4	2	no	—
176	C₈×C₈₉	C₄×D₄	1	1	yes	characteristic
177	C₈×C₈₉	C₄×D₄	1	1	yes	characteristic
178	C₈×C₈₉	C₂³×C₄	1	1	yes	characteristic
179	C₈×C₈₉	C₂×#41	1	1	yes	characteristic
180	#10623494	—	4	2	no	—
181	#10623494	C₂×D₈	1	4	yes	—
182	C₂²×C₈₉	—	4	1	no	—
183	C₂²×C₈₉	—	4	2	no	—
184	C₂²×C₈₉	—	16	1	no	—
185	C₂²×C₈₉	C₄×D₈	1	1	yes	characteristic
186	C₂²×C₈₉	C₄×D₈	1	1	yes	characteristic
187	C₂²×C₈₉	C₂×#135	1	1	yes	characteristic
188	C₂×D₈₉	—	4	2	no	—
189	C₂×D₈₉	—	16	1	no	—
190	C₄×C₈₉	—	4	2	no	—
191	C₄×C₈₉	C₄×D₈	1	1	yes	characteristic
192	C₄×C₈₉	C₄×D₈	1	1	yes	characteristic
193	C₄×C₈₉	C₂×C₄×D₄	1	1	yes	characteristic
194	C₄×C₈₉	C₂²×D₈	1	1	yes	characteristic
195	Dic₈₉	—	4	2	no	—
196	Dic₈₉	—	4	2	no	—
197	#33465	—	89	1	no	maximal, Sylow
198	C₂×C₈₉	—	2	1	no	—
199	C₂×C₈₉	—	2	1	no	—
200	C₂×C₈₉	—	2	1	no	—
201	C₂×C₈₉	—	8	2	no	—
202	C₂×C₈₉	C₂×C₄×D₈	1	1	yes	characteristic
203	D₈₉	—	8	2	no	—
204	C₂×#508	—	89	1	no	—
205	#2957	—	89	1	no	—
206	#2957	—	89	1	no	—
207	#2179	—	89	4	no	—
208	#2178	—	89	4	no	—
209	C₂×#368	—	89	1	no	—
210	#2143	—	89	1	no	—
211	#2143	D₈₉	1	1	yes	characteristic, complemented
212	#2108	—	89	1	no	—
213	C₈₉	#33465	1	1	yes	characteristic, complemented, Sylow
214	C₂×#135	—	89	1	no	—
215	C₂×#135	C₂×D₈₉	1	1	yes	characteristic
216	#568	—	178	1	no	—
217	#568	—	178	1	no	—
218	#508	—	89	2	no	—
219	#508	—	89	2	no	—
220	#508	—	89	2	no	—
221	#508	—	89	2	no	—
222	C₂×Q₃₂	—	89	1	no	—
223	C₂×SD₃₂	—	89	1	no	—
224	C₂×SD₃₂	—	89	1	no	—
225	C₂×D₁₆	—	89	1	no	—
226	C₂×M₃₂	C₂×D₈₉	1	1	yes	characteristic
227	C₂²×C₁₆	—	89	1	no	—
228	#444	—	178	2	no	—
229	#444	—	178	2	no	—
230	#443	—	89	4	no	—
231	#443	—	89	4	no	—
232	C₂×#108	—	89	1	no	—
233	C₂×#108	C₂×D₈₉	1	1	yes	characteristic
234	#421	—	178	1	no	—
235	#421	—	178	1	no	—
236	#405	—	89	1	no	—
237	#368	—	89	2	no	—
238	#368	—	89	2	no	—
239	#359	—	89	4	no	—
240	#359	C₂×D₈₉	1	4	yes	complemented
241	#346	—	89	2	no	—
242	C₄×C₁₆	—	89	2	no	—
243	C₂×#41	—	2	1	no	—
244	C₂×#41	—	178	1	no	—
245	#135	—	2	1	no	—
246	#135	—	2	1	no	—
247	#135	—	89	2	no	—
248	#135	—	89	2	no	—
249	#135	—	178	1	no	—
250	#135	—	178	1	no	—
251	#135	C₄×D₈₉	1	2	yes	—
252	#135	C₂²×D₈₉	1	2	yes	—
253	C₂×Q₁₆	—	89	1	no	—
254	C₂×Q₁₆	C₄×D₈₉	1	1	yes	characteristic
255	C₂×SD₁₆	—	2	1	no	—
256	C₂×SD₁₆	—	178	1	no	—
257	C₂×D₈	—	89	1	no	—
258	C₂×D₈	C₄×D₈₉	1	1	yes	characteristic
259	#131	—	356	2	no	—
260	#131	—	356	2	no	—
261	#131	—	178	4	no	—
262	#131	—	178	4	no	—
263	C₂×M₁₆	—	2	1	no	—
264	C₂×M₁₆	—	89	1	no	—
265	C₂×M₁₆	—	356	2	no	—
266	C₂×M₁₆	—	356	2	no	—
267	C₂×M₁₆	—	178	1	no	—
268	C₂²×C₈	C₂²×D₈₉	1	1	yes	characteristic
269	#117	—	89	1	no	—
270	Q₃₂	—	89	2	no	—
271	Q₃₂	—	89	2	no	—
272	SD₃₂	—	89	2	no	—
273	SD₃₂	—	89	2	no	—
274	SD₃₂	—	89	2	no	—
275	SD₃₂	—	89	2	no	—
276	D₁₆	—	89	2	no	—
277	D₁₆	—	89	2	no	—
278	M₃₂	—	2	1	no	—
279	M₃₂	—	2	1	no	—
280	C₂×C₁₆	—	89	1	no	—
281	C₂×C₁₆	—	89	1	no	—
282	C₂×C₁₆	—	89	1	no	—
283	C₂×C₁₆	—	89	1	no	—
284	C₂×C₁₆	—	89	1	no	—
285	C₂×C₁₆	—	89	1	no	—
286	C₂×C₁₆	C₂²×D₈₉	1	2	yes	—
287	#108	—	2	1	no	—
288	#108	—	89	2	no	—
289	#108	—	178	1	no	—
290	#108	C₂²×D₈₉	1	2	yes	—
291	#104	—	178	4	no	—
292	#104	—	178	4	no	—
293	#97	—	89	2	no	—
294	C₄×C₈	—	89	2	no	—
295	#41	—	2	2	no	—
296	#41	—	2	2	no	—
297	#41	—	4	1	no	—
298	#41	—	4	1	no	—
299	#41	—	356	1	no	—
300	#41	—	356	1	no	—
301	#41	—	178	2	no	—
302	#41	—	178	2	no	—
303	C₂×Q₈	—	2	1	no	—
304	C₂×Q₈	—	178	1	no	—
305	C₂×D₄	—	2	1	no	—
306	C₂×D₄	—	4	1	no	—
307	C₂×D₄	—	356	1	no	—
308	C₂×D₄	—	178	1	no	—
309	C₂²×C₄	—	4	1	no	—
310	C₂²×C₄	—	356	1	no	—
311	C₂²×C₄	D₄×D₈₉	1	1	yes	characteristic
312	Q₁₆	—	2	1	no	—
313	Q₁₆	—	89	2	no	—
314	Q₁₆	—	178	1	no	—
315	Q₁₆	C₂×C₄×D₈₉	1	2	yes	—
316	SD₁₆	—	2	2	no	—
317	SD₁₆	—	2	2	no	—
318	SD₁₆	—	178	2	no	—
319	SD₁₆	—	178	2	no	—
320	D₈	—	2	1	no	—
321	D₈	—	89	2	no	—
322	D₈	—	178	1	no	—
323	D₈	C₂×C₄×D₈₉	1	2	yes	—
324	M₁₆	—	2	2	no	—
325	M₁₆	—	4	1	no	—
326	M₁₆	—	89	2	no	—
327	M₁₆	—	89	2	no	—
328	M₁₆	—	356	4	no	—
329	M₁₆	—	356	4	no	—
330	M₁₆	—	356	1	no	—
331	M₁₆	—	178	2	no	—
332	C₂×C₈	—	4	1	no	—
333	C₂×C₈	—	89	2	no	—
334	C₂×C₈	—	356	4	no	—
335	C₂×C₈	—	356	4	no	—
336	C₂×C₈	—	356	1	no	—
337	C₂×C₈	C₂×C₄×D₈₉	1	1	yes	characteristic
338	C₂×C₈	C₂×C₄×D₈₉	1	1	yes	characteristic
339	C₂×C₈	D₄×D₈₉	1	1	yes	characteristic
340	C₂×C₈	#13083573	1	1	yes	characteristic
341	C₂×C₈	#13083573	1	1	yes	characteristic
342	C₂×C₈	C₂³×D₈₉	1	1	yes	characteristic
343	C₄⋊C₄	—	178	1	no	—
344	C₂²⋊C₄	—	178	1	no	—
345	C₄²	—	89	2	no	—
346	C₁₆	—	2	2	no	—
347	C₁₆	—	89	1	no	—
348	C₁₆	—	89	1	no	—
349	C₁₆	—	89	1	no	—
350	C₁₆	—	89	1	no	—
351	C₂³	—	4	1	no	—
352	C₂³	—	356	1	no	—
353	C₂³	#15668033	1	1	yes	characteristic
354	Q₈	—	2	2	no	—
355	Q₈	—	4	1	no	—
356	Q₈	—	356	1	no	—
357	Q₈	—	178	2	no	—
358	D₄	—	2	2	no	—
359	D₄	—	4	2	no	—
360	D₄	—	4	2	no	—
361	D₄	—	4	1	no	—
362	D₄	—	356	2	no	—
363	D₄	—	356	2	no	—
364	D₄	—	356	1	no	—
365	D₄	—	178	2	no	—
366	C₂×C₄	—	4	1	no	—
367	C₂×C₄	—	4	2	no	—
368	C₂×C₄	—	4	2	no	—
369	C₂×C₄	—	356	1	no	—
370	C₂×C₄	—	356	2	no	—
371	C₂×C₄	—	356	2	no	—
372	C₂×C₄	—	178	2	no	—
373	C₂×C₄	#15667972	1	1	yes	characteristic
374	C₂×C₄	#15667972	1	1	yes	characteristic
375	C₂×C₄	D₈×D₈₉	1	1	yes	characteristic
376	C₂×C₄	D₈×D₈₉	1	1	yes	characteristic
377	C₂×C₄	#15668033	1	1	yes	characteristic
378	C₂×C₄	C₂×D₄×D₈₉	1	1	yes	characteristic
379	C₈	—	4	2	no	—
380	C₈	—	89	4	no	—
381	C₈	—	356	2	no	—
382	C₈	#15667972	1	1	yes	characteristic
383	C₈	#15667972	1	1	yes	characteristic
384	C₈	C₂²×C₄×D₈₉	1	1	yes	characteristic
385	C₈	C₂×#13083573	1	1	yes	characteristic
386	C₂²	—	4	1	no	—
387	C₂²	—	4	2	no	—
388	C₂²	—	16	1	no	—
389	C₂²	—	356	2	no	—
390	C₂²	—	1424	1	no	—
391	C₂²	#19151678	1	1	yes	characteristic
392	C₂²	#19151678	1	1	yes	characteristic
393	C₂²	C₂×#15668033	1	1	yes	characteristic
394	C₄	—	4	2	no	—
395	C₄	—	356	2	no	—
396	C₄	—	356	2	no	—
397	C₄	#19151678	1	1	yes	characteristic
398	C₄	#19151678	1	1	yes	characteristic
399	C₄	C₂×#15667972	1	1	yes	characteristic
400	C₄	C₂×D₈×D₈₉	1	1	yes	characteristic
401	C₂	—	2	1	no	—
402	C₂	—	2	1	no	—
403	C₂	—	2	1	no	—
404	C₂	—	8	2	no	—
405	C₂	—	712	2	no	—
406	C₂	C₂×#19151678	1	1	yes	characteristic

	subgroup	G/H
center	C₄	C₂×D₈×D₈₉
commutator	C₈×C₈₉	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₈₉
Fitting	C₈₉×#2143	C₂
socle	C₂×C₈₉	C₂×C₄×D₈
prime radical	C₂×#19152028	C₂
cosocle	C₂×C₈×C₈₉	C₂⁴
hypercenter	#2143	D₈₉
hypocenter	C₈₉	#33465
LCS	G ▷ C₈×C₈₉ ▷ C₄×C₈₉ ▷ C₂×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₄ ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ #2143

Complements

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

N	H ≅ G/N	type
2. #26029169	C₂	semidirect
3. #26029168	C₂	semidirect
4. #26022135	C₂	semidirect
5. #26022130	C₂	semidirect
6. C₂×#19151427	C₂	semidirect
7. #26021981	C₂	semidirect
8. #26021851	C₂	semidirect
9. C₈₉×#2143	C₂	semidirect
13. #19152028	C₄	semidirect
14. #19152028	C₄	semidirect
17. C₂×#15667958	C₄	semidirect
18. C₂×#15667956	C₄	semidirect
19. C₂×#15667955	C₄	semidirect
20. C₂×#15667953	C₄	semidirect
24. #19151715	C₂²	semidirect
25. #19151714	C₂²	semidirect
30. #19151427	C₂²	semidirect
31. #19151427	C₂²	semidirect
32. #19151406	C₂²	semidirect
33. #19151373	C₂²	semidirect
34. C₁₆×Dic₈₉	C₂²	semidirect
38. #359×C₈₉	C₂²	semidirect
211. #2143	D₈₉	semidirect
213. C₈₉	#33465	semidirect
240. #359	C₂×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19152028	2
#26029169	2
#26029168	2
#26022135	2
#26022130	2
C₂×#19151427	2
#26021981	2
#26021851	2
C₈₉×#2143	2
#33465	89