Finite Group Databasebeta

← #17002100

Subgroups — #17002100

Order 4352.

1074 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542623C211yesmaximal, characteristic
2#14537813C211yesmaximal, characteristic, complemented
3#14527355C211yesmaximal, characteristic, complemented
4#14527351C211yesmaximal, characteristic, complemented
5#14527325C212yesmaximal, complemented
6#14527320C212yesmaximal, complemented
7#14527307C212yesmaximal, complemented
8#14527286C212yesmaximal, complemented
9C2×#11762545C211yesmaximal, characteristic, complemented
10C2×#11762542C211yesmaximal, characteristic, complemented
11C17×#2349C211yesmaximal, characteristic, complemented
12#11763508—22no—
13#11763505C412yescomplemented
14#11763499C412yescomplemented
15#11763488—22no—
16#11763468C412yescomplemented
17#11763455C412yescomplemented
18#11763406—21no—
19#11763397—21no—
20#11763368—21no—
21#11763343C2212yes—
22#11763320C2212yes—
23C2×#10587610C2211yescharacteristic
24C2×#10587616C2211yescharacteristic
25#11763282—21no—
26#11762881—22no—
27#11762881—22no—
28#11762866C2212yescomplemented
29#11762773C2212yescomplemented
30C2×C22⋊#3622C2211yescharacteristic
31C2×C22⋊#3622C2211yescharacteristic
32#11762545C2212yescomplemented
33#11762545C2212yescomplemented
34#11762545C2212yescomplemented
35#11762545C2212yescomplemented
36#11762542C2212yes—
37#11762542C2212yes—
38#11762542C2212yes—
39#11762542C2212yes—
40C2×C4×D4×C17—21no—
41C2×C4×D4×C17C2211yescharacteristic
42C17×#389—21no—
43C17×#385—21no—
44C17×#385—21no—
45C17×#382C2211yescharacteristic, complemented
46C17×#380C2211yescharacteristic
47C17×#380C2211yescharacteristic, complemented
48C4×C4⋊C4×C17C2211yescharacteristic, complemented
49C2×C17×#95C2211yescharacteristic
50C2×C17×#95C2211yescharacteristic, complemented
51C22×D4×C17D411yescharacteristic
52C23×C4×C17—21no—
53C23×C4×C17—21no—
54C23×C4×C17C2311yescharacteristic
55C23×C4×C17C2311yescharacteristic
56C22×C22⋊D17—21no—
57C2×#63252C2×C412yescomplemented
58C22×D68C2×C411yescharacteristic, complemented
59C22×Dic34C2×C411yescharacteristic, complemented
60C4×D4×C17—44no—
61C4×D4×C17C2×C412yes—
62C4×D4×C17C2×C412yes—
63C4×D4×C17D412yes—
64C4×D4×C17D412yes—
65C2×C4⋊C4×C17—21no—
66C2×C4⋊C4×C17—21no—
67C2×C4⋊C4×C17—21no—
68C2×C4⋊C4×C17—21no—
69C2×C4⋊C4×C17D411yescharacteristic
70C2×C22⋊C4×C17—21no—
71C2×C22⋊C4×C17—21no—
72C2×C22⋊C4×C17D411yescharacteristic
73C2×C22⋊C4×C17D411yescharacteristic
74C2×C42×C17—21no—
75C2×C42×C17C2311yescharacteristic
76#10587639—22no—
77C2×C22⋊Dic17—21no—
78#10587625—22no—
79#10587625—22no—
80#10587623—22no—
81#10587621—22no—
82#10587616—21no—
83#10587616—21no—
84#10587616C2×C412yescomplemented
85#10587616C2×C412yescomplemented
86#10587616C2312yes—
87#10587615—22no—
88#10587615—22no—
89C4×C22⋊D17—22no—
90C4×C22⋊D17—22no—
91C4×C22⋊D17—22no—
92C2×#63227—21no—
93#10587612C2×C412yescomplemented
94C2×C4⋊Dic17C2×C411yescharacteristic, complemented
95C2×C4⋊Dic17C2×C411yescharacteristic, complemented
96#10587610—21no—
97#10587610—21no—
98#10587610C2×C412yescomplemented
99#10587610C2×C412yescomplemented
100#10587610C2312yes—
101C2×#63225—21no—
102C2×#63223—22no—
103C22×#3622—21no—
104C22×#3622—21no—
105#10587584—22no—
106#10587582—22no—
107#10587580—22no—
108#10587575—22no—
109#10587571—22no—
110#10587570—22no—
111#10587569—22no—
112#10587567—22no—
113#10587567—22no—
114C22⋊C4×D17—22no—
115#10587565—22no—
116#10587563—22no—
117#10587562—22no—
118#10587561C2×C412yescomplemented
119C4×D68C2×C412yescomplemented
120#10587558—22no—
121#10587556C2×C412yescomplemented
122C4×Dic34C2×C412yescomplemented
123C17×#95—21no—
124C17×#95—21no—
125C17×#95—21no—
126C17×#95C2311yescharacteristic
127C17×#95C2311yescharacteristic
128C17×#95C2311yescharacteristic
129C17×#95C2311yescharacteristic
130C22⋊#3622—21no—
131C22⋊#3622—21no—
132C22⋊#3622—22no—
133C22⋊#3622C2312yes—
134C22⋊#3622C2312yes—
135C4⋊#3622—22no—
136#10587474—22no—
137C24×C17C2×D411yescharacteristic
138C24×C17C2×D411yescharacteristic
139C23×D17—21no—
140C2×D4×C17—22no—
141C2×D4×C17—22no—
142C2×D4×C17C22⋊C412yes—
143C2×D4×C17C22⋊C412yes—
144C22×C4×C17—21no—
145C22×C4×C17—21no—
146C22×C4×C17—21no—
147C22×C4×C17—21no—
148C22×C4×C17—42no—
149C22×C4×C17—42no—
150C22×C4×C17—42no—
151C22×C4×C17—42no—
152C22×C4×C17—81no—
153C22×C4×C17—81no—
154C22×C4×C17—81no—
155C22×C4×C17—81no—
156C22×C4×C17C22×C411yescharacteristic
157C22×C4×C17C22×C411yescharacteristic
158C22×C4×C17C22×C412yes—
159C22×C4×C17C2×D411yescharacteristic
160C22×C4×C17C2×D411yescharacteristic
161C22×C4×C17C2×D412yes—
162C22×C4×C17C2×D411yescharacteristic
163C22×C4×C17C2×D411yescharacteristic
164C22×C4×C17C2×D411yescharacteristic
165C22×C4×C17C2×D411yescharacteristic
166C22×C4×C17C2411yescharacteristic
167C2×C22⋊D17—22no—
168C2×C22⋊D17—22no—
169C2×C22⋊D17—22no—
170C2×C22⋊D17—22no—
171C2×C22⋊D17—42no—
172C2×C22⋊D17—42no—
173C22×Dic17—21no—
174C22×Dic17—21no—
175C22×Dic17—21no—
176#63252—82no—
177C2×D68—21no—
178C2×D68—81no—
179C2×D68C22×C412yes—
180C2×C4×D17—22no—
181C2×C4×D17—22no—
182C2×Dic34—21no—
183C2×Dic34—81no—
184C2×Dic34C22×C412yes—
185C4⋊C4×C17—42no—
186C4⋊C4×C17—42no—
187C4⋊C4×C17—81no—
188C4⋊C4×C17—81no—
189C4⋊C4×C17C22⋊C412yes—
190C4⋊C4×C17C22⋊C412yes—
191C22⋊C4×C17—42no—
192C22⋊C4×C17—42no—
193C22⋊C4×C17C22⋊C412yes—
194C22⋊C4×C17C22⋊C412yes—
195C22⋊C4×C17C22⋊C412yes—
196C22⋊C4×C17C22⋊C412yes—
197C42×C17—42no—
198C42×C17C22×C412yes—
199C42×C17C2×D412yes—
200C22⋊Dic17—22no—
201C22⋊Dic17—22no—
202C22⋊Dic17—22no—
203C22⋊Dic17—22no—
204#63227—22no—
205#63227—22no—
206#63227—22no—
207#63227—22no—
208#63227—22no—
209#63227—22no—
210C4⋊Dic17—21no—
211C4⋊Dic17—21no—
212C4⋊Dic17C22×C412yes—
213C4⋊Dic17C22×C412yes—
214#63225—22no—
215#63225—22no—
216#63225—22no—
217#63225—22no—
218#63225—22no—
219#63225—22no—
220C4×Dic17—22no—
221C4×Dic17—22no—
222#63223—82no—
223C2×#3622—22no—
224C2×#3622—22no—
225C2×#3622—81no—
226C2×#3622—81no—
227#17622—171nomaximal, Sylow
228C23×C17—21no—
229C23×C17—21no—
230C23×C17—41no—
231C23×C17—41no—
232C23×C17—41no—
233C23×C17—41no—
234C23×C17C2×C22⋊C412yes—
235C23×C17C2×C22⋊C411yescharacteristic
236C23×C17C2×C22⋊C411yescharacteristic
237C23×C17AGL(1,ℤ/8)12yes—
238C23×C17#13712yes—
239C23×C17C22×D411yescharacteristic
240C22×D17—22no—
241C22×D17—42no—
242C22×D17—81no—
243C22×D17—81no—
244D4×C17—24no—
245D4×C17—24no—
246C2×C4×C17—21no—
247C2×C4×C17—21no—
248C2×C4×C17—22no—
249C2×C4×C17—41no—
250C2×C4×C17—41no—
251C2×C4×C17—41no—
252C2×C4×C17—41no—
253C2×C4×C17—41no—
254C2×C4×C17—42no—
255C2×C4×C17—41no—
256C2×C4×C17—41no—
257C2×C4×C17—41no—
258C2×C4×C17—42no—
259C2×C4×C17—41no—
260C2×C4×C17—41no—
261C2×C4×C17—41no—
262C2×C4×C17—41no—
263C2×C4×C17—41no—
264C2×C4×C17—41no—
265C2×C4×C17—41no—
266C2×C4×C17—41no—
267C2×C4×C17—41no—
268C2×C4×C17—41no—
269C2×C4×C17—41no—
270C2×C4×C17—84no—
271C2×C4×C17—84no—
272C2×C4×C17C2×C22⋊C412yes—
273C2×C4×C17C2×C22⋊C412yes—
274C2×C4×C17C2×C22⋊C411yescharacteristic
275C2×C4×C17C2×C22⋊C412yes—
276C2×C4×C17C2×C22⋊C411yescharacteristic
277C2×C4×C17C23×C411yescharacteristic
278C2×C4×C17C22×D411yescharacteristic
279C22⋊D17—42no—
280C22⋊D17—42no—
281C22⋊D17—44no—
282C22⋊D17—82no—
283C22⋊D17—82no—
284C2×Dic17—22no—
285C2×Dic17—22no—
286C2×Dic17—22no—
287C2×Dic17—42no—
288C2×Dic17—81no—
289C2×Dic17—81no—
290D68—42no—
291D68—81no—
292C4×D17—82no—
293C4×D17—82no—
294Dic34—42no—
295Dic34—81no—
296#3622—42no—
297#3622—42no—
298#3505—171no—
299#2973—171no—
300#2349D1711yescharacteristic, complemented
301#1520—171no—
302#1519—171no—
303#1513—172no—
304#1512—172no—
305#1509—172no—
306#1504—172no—
307C2×#328—171no—
308C2×#327—171no—
309C22×C17—21no—
310C22×C17—21no—
311C22×C17—21no—
312C22×C17—21no—
313C22×C17—21no—
314C22×C17—21no—
315C22×C17—22no—
316C22×C17—22no—
317C22×C17—22no—
318C22×C17—42no—
319C22×C17—42no—
320C22×C17—42no—
321C22×C17—42no—
322C22×C17#41712yes—
323C22×C17#41712yes—
324C22×C17C22×C22⋊C411yescharacteristic
325C22×C17C2×AGL(1,ℤ/8)11yescharacteristic
326C22×C17C2×#13711yescharacteristic
327C2×D17—42no—
328C2×D17—42no—
329C2×D17—42no—
330C2×D17—162no—
331C4×C17—21no—
332C4×C17—21no—
333C4×C17—21no—
334C4×C17—22no—
335C4×C17—21no—
336C4×C17—22no—
337C4×C17—22no—
338C4×C17—42no—
339C4×C17—81no—
340C4×C17—81no—
341C4×C17—81no—
342Dic17—42no—
343Dic17—42no—
344Dic17—42no—
345#553—172no—
346#553—342no—
347#552—172no—
348#551—342no—
349#548—172no—
350#546—172no—
351#539—341no—
352#538—341no—
353#534—341no—
354#529—172no—
355#525—172no—
356C2×C22⋊Q8—171no—
357C2×#121—171no—
358#518—341no—
359C2×C4×D4—21no—
360C2×C4×D4C2×D1711yescharacteristic
361#435—342no—
362#435—342no—
363#432—172no—
364#407—172no—
365C2×C22⋊C8—171no—
366C2×C22⋊C8—171no—
367#389—21no—
368#385—21no—
369#385—21no—
370#382C2×D1711yescharacteristic, complemented
371#380C2×D1711yescharacteristic
372#380C2×D1711yescharacteristic, complemented
373C4×C4⋊C4C2×D1711yescharacteristic, complemented
374C2×#95C2×D1711yescharacteristic
375C2×#95C2×D1711yescharacteristic, complemented
376#328—172no—
377#328—172no—
378#328—172no—
379#328—172no—
380#327—172no—
381#327—172no—
382#327—172no—
383#327—172no—
384C2×C17—21no—
385C2×C17—22no—
386C2×C17—21no—
387C2×C17—22no—
388C2×C17—42no—
389C2×C17#288311yescharacteristic
390C2×C17C2×#41711yescharacteristic
391C2×C17#290111yescharacteristic
392D17—82no—
393C2×#41—172no—
394C22×Q8—171no—
395C22×D4—171no—
396C22×D4—341no—
397C22×D4C22⋊D1711yescharacteristic
398C23×C4—21no—
399C23×C4—21no—
400C23×C4C22×D1711yescharacteristic
401C23×C4C22×D1711yescharacteristic
402C2×M16—342no—
403C22×C8—341no—
404C22×C8—341no—
405#126—342no—
406#126—342no—
407#126—342no—
408#125—172no—
409#125—342no—
410#124—172no—
411#124—342no—
412#123—342no—
413#123—342no—
414#123—342no—
415#123—342no—
416#123—342no—
417C22⋊Q8—172no—
418C22⋊Q8—172no—
419C22⋊Q8—172no—
420C22⋊Q8—341no—
421C22⋊Q8—341no—
422C22⋊Q8—342no—
423#121—172no—
424#121—172no—
425#121—172no—
426#121—342no—
427#121—342no—
428#121—341no—
429#121—341no—
430#121—342no—
431#120—342no—
432#120—342no—
433C4×Q8—172no—
434C4×D4—44no—
435C4×D4—172no—
436C4×D4—342no—
437C4×D4—342no—
438C4×D4—342no—
439C4×D4—342no—
440C4×D4—342no—
441C4×D4C4×D1712yes—
442C4×D4C4×D1712yes—
443C4×D4D6812yes—
444C4×D4D6812yes—
445#117—172no—
446#117—342no—
447#117—342no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—171no—
453C2×C4⋊C4—171no—
454C2×C4⋊C4—341no—
455C2×C4⋊C4C22⋊D1711yescharacteristic
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—341no—
459C2×C22⋊C4—341no—
460C2×C22⋊C4—342no—
461C2×C22⋊C4C22⋊D1711yescharacteristic
462C2×C22⋊C4C22⋊D1711yescharacteristic
463C2×C42—21no—
464C2×C42C22×D1711yescharacteristic
465C4⋊C8—342no—
466C22⋊C8—172no—
467C22⋊C8—172no—
468C22⋊C8—341no—
469C22⋊C8—341no—
470C22⋊C8—342no—
471#97—342no—
472#95—21no—
473#95—21no—
474#95—21no—
475#95C22×D1711yescharacteristic
476#95C22×D1711yescharacteristic
477#95C22×D1711yescharacteristic
478#95C22×D1711yescharacteristic
479C17#1762211yescharacteristic, complemented, Sylow
480C24—341no—
481C24C2×C22⋊D1711yescharacteristic
482C24C2×C22⋊D1711yescharacteristic
483#41—1362no—
484C2×Q8—172no—
485C2×Q8—341no—
486C2×Q8—1361no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—172no—
490C2×D4—342no—
491C2×D4—342no—
492C2×D4—342no—
493C2×D4—342no—
494C2×D4—341no—
495C2×D4—682no—
496C2×D4—682no—
497C2×D4—1361no—
498C2×D4#6322712yes—
499C2×D4#6322712yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—81no—
512C22×C4—341no—
513C22×C4—341no—
514C22×C4—341no—
515C22×C4—342no—
516C22×C4—342no—
517C22×C4C2×C4×D1711yescharacteristic
518C22×C4C2×C4×D1711yescharacteristic
519C22×C4C2×C4×D1712yes—
520C22×C4C2×D6811yescharacteristic
521C22×C4C2×D6811yescharacteristic
522C22×C4C2×D6812yes—
523C22×C4C2×C22⋊D1711yescharacteristic
524C22×C4C2×C22⋊D1711yescharacteristic
525C22×C4C2×C22⋊D1711yescharacteristic
526C22×C4C2×C22⋊D1711yescharacteristic
527C22×C4C23×D1711yescharacteristic
528M16—1362no—
529C2×C8—342no—
530C2×C8—342no—
531C2×C8—1361no—
532C2×C8—1361no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—81no—
536C4⋊C4—81no—
537C4⋊C4—172no—
538C4⋊C4—172no—
539C4⋊C4—342no—
540C4⋊C4—341no—
541C4⋊C4—341no—
542C4⋊C4—342no—
543C4⋊C4—342no—
544C4⋊C4—342no—
545C4⋊C4—342no—
546C4⋊C4—342no—
547C4⋊C4#6322712yes—
548C4⋊C4#6322712yes—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—342no—
552C22⋊C4—342no—
553C22⋊C4—342no—
554C22⋊C4—342no—
555C22⋊C4—342no—
556C22⋊C4—342no—
557C22⋊C4—342no—
558C22⋊C4—342no—
559C22⋊C4—342no—
560C22⋊C4—342no—
561C22⋊C4#6322712yes—
562C22⋊C4#6322712yes—
563C22⋊C4#6322712yes—
564C22⋊C4#6322712yes—
565C42—42no—
566C42—342no—
567C42—342no—
568C42C2×C4×D1712yes—
569C42C2×D6812yes—
570C23—21no—
571C23—21no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—342no—
577C23—682no—
578C23—1361no—
579C23—1361no—
580C23C2×#6322712yes—
581C23C2×#6322711yescharacteristic
582C23C2×#6322711yescharacteristic
583C23#1058761812yes—
584C23#1058762812yes—
585C23C22×C22⋊D1711yescharacteristic
586Q8—682no—
587Q8—1361no—
588D4—24no—
589D4—24no—
590D4—682no—
591D4—684no—
592D4—682no—
593D4—682no—
594D4—1361no—
595D4—1362no—
596D4—1362no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4—342no—
624C2×C4—342no—
625C2×C4—342no—
626C2×C4—682no—
627C2×C4—1362no—
628C2×C4—1362no—
629C2×C4—1361no—
630C2×C4—1361no—
631C2×C4C2×#6322712yes—
632C2×C4C2×#6322712yes—
633C2×C4C2×#6322712yes—
634C2×C4C2×#6322711yescharacteristic
635C2×C4C2×#6322711yescharacteristic
636C2×C4C22×C4×D1711yescharacteristic
637C2×C4C22×D6811yescharacteristic
638C8—682no—
639C8—682no—
640C22—21no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—2722no—
654C22—682no—
655C22—682no—
656C22—682no—
657C22#1176280812yes—
658C22#1176280812yes—
659C22C22×#6322711yescharacteristic
660C22C2×#1058761811yescharacteristic
661C22C2×#1058762811yescharacteristic
662C4—21no—
663C4—21no—
664C4—22no—
665C4—21no—
666C4—21no—
667C4—22no—
668C4—22no—
669C4—42no—
670C4—81no—
671C4—81no—
672C4—81no—
673C4—682no—
674C4—682no—
675C4—682no—
676C2—21no—
677C2—21no—
678C2—22no—
679C2—22no—
680C2—42no—
681C2—1362no—
682C2#1453724411yescharacteristic
683C2C2×#1176280811yescharacteristic
684C2#1453733211yescharacteristic
subgroupG/H
centerC22C22×#63227
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC17×#2349C2
socleC22×C17C22×C22⋊C4
prime radical#14542623C2
cosocleC22×C4×C17C24
hypercenter#2349D17
hypocenterC17#17622
LCSG ▷ C2×C4×C17 ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2349

Complements

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

NH ≅ G/Ntype
2. #14537813C2semidirect
3. #14527355C2semidirect
4. #14527351C2semidirect
5. #14527325C2semidirect
6. #14527320C2semidirect
7. #14527307C2semidirect
8. #14527286C2semidirect
9. C2×#11762545C2semidirect
10. C2×#11762542C2semidirect
11. C17×#2349C2semidirect
13. #11763505C4semidirect
14. #11763499C4semidirect
16. #11763468C4semidirect
17. #11763455C4semidirect
28. #11762866C22semidirect
29. #11762773C22semidirect
32. #11762545C22semidirect
33. #11762545C22semidirect
34. #11762545C22semidirect
35. #11762545C22semidirect
45. C17×#382C22semidirect
47. C17×#380C22semidirect
48. C4×C4⋊C4×C17C22semidirect
50. C2×C17×#95C22semidirect
57. C2×#63252C2×C4semidirect
58. C22×D68C2×C4semidirect
59. C22×Dic34C2×C4semidirect
84. #10587616C2×C4semidirect
85. #10587616C2×C4semidirect
93. #10587612C2×C4semidirect
94. C2×C4⋊Dic17C2×C4semidirect
95. C2×C4⋊Dic17C2×C4semidirect
98. #10587610C2×C4semidirect
99. #10587610C2×C4semidirect
118. #10587561C2×C4semidirect
119. C4×D68C2×C4semidirect
121. #10587556C2×C4semidirect
122. C4×Dic34C2×C4semidirect
300. #2349D17semidirect
370. #382C2×D17semidirect
372. #380C2×D17semidirect
373. C4×C4⋊C4C2×D17semidirect
375. C2×#95C2×D17semidirect
479. C17#17622semidirect

Maximal subgroups

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

subgroupindex
#145426232
#145378132
#145273552
#145273512
#145273252
#145273202
#145273072
#145272862
C2×#117625452
C2×#117625422
C17×#23492
#1762217