Finite Group Databasebeta

← #17040642

Subgroups — #17040642

Order 4352.

1056 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763021C211yesmaximal, characteristic
2C2×#11762907C211yesmaximal, characteristic, complemented
3C2×C4×#63228C211yesmaximal, characteristic
4#14531146C211yesmaximal, characteristic, complemented
5#14529717C211yesmaximal, characteristic, complemented
6#14529540C211yesmaximal, characteristic, complemented
7#14529422C211yesmaximal, characteristic, complemented
8#14529401C211yesmaximal, characteristic, complemented
9#14529135C211yesmaximal, characteristic
10#14529121C211yesmaximal, characteristic, complemented
11#14528781C211yesmaximal, characteristic, complemented
12#14528641C211yesmaximal, characteristic, complemented
13#14528609C211yesmaximal, characteristic, complemented
14C4×#10587506C211yesmaximal, characteristic, complemented
15C17×#2326C211yesmaximal, characteristic, complemented
16C22×#63230C2211yescharacteristic
17C22×#63228C2211yescharacteristic
18C2×C4×D68C2211yescharacteristic
19C2×C4×D68C2211yescharacteristic
20C2×C4×D68C2211yescharacteristic
21#11763021C418yescomplemented
22#11762907—24no—
23C4×#63228—24no—
24C2×#10587478C2211yescharacteristic
25C2×#10587478C2211yescharacteristic
26C2×C4⋊#3622C2211yescharacteristic
27C2×C4⋊#3622C2211yescharacteristic
28C2×#10587506C2211yescharacteristic
29C2×#10587506C2211yescharacteristic
30C2×#10587506C2211yescharacteristic
31C2×#10587503C2211yescharacteristic
32C2×#10587503C2211yescharacteristic
33C2×#10587503C2211yescharacteristic
34C2×#10587480C2211yescharacteristic
35C2×#10587480C2211yescharacteristic
36C2×#10587474C2211yescharacteristic
37C2×C4×#3622C2211yescharacteristic
38C4×C4⋊Dic17C2211yescharacteristic
39C4×C4⋊Dic17C2211yescharacteristic
40C4×C4⋊Dic17C2211yescharacteristic
41#11762656—21no—
42#11762656—21no—
43#11762656—21no—
44#95×D17—21no—
45#11762571C2211yescharacteristic
46#11762571C2211yescharacteristic
47#11762571C2211yescharacteristic
48#11762571C2211yescharacteristic
49#11762564C2211yescharacteristic
50#11762564C2211yescharacteristic
51C2×C17×#124C2211yescharacteristic
52C2×C4×Q8×C17C2211yescharacteristic
53C2×C4×D4×C17C2211yescharacteristic
54C17×#391C2211yescharacteristic
55C17×#390C2211yescharacteristic
56C17×#388—21no—
57C17×#388—21no—
58C17×#385—21no—
59C17×#385—21no—
60C17×#384C2211yescharacteristic
61C17×#376C2211yescharacteristic
62C22×Q8×C17C2311yescharacteristic
63C22×D4×C17C2311yescharacteristic
64C23×C4×C17—21no—
65C22×D68C2311yescharacteristic
66C22×C4×D17—21no—
67C22×C4×D17—21no—
68C22×C4×D17—21no—
69C17×#124—22no—
70C17×#124C2×C414yescomplemented
71C4×Q8×C17—22no—
72C4×Q8×C17—22no—
73C4×D4×C17—22no—
74C4×D4×C17—22no—
75C2×C4⋊C4×C17—21no—
76C2×C4⋊C4×C17—21no—
77C2×C4⋊C4×C17—21no—
78C2×C4⋊C4×C17C2311yescharacteristic
79C2×C4⋊C4×C17C2311yescharacteristic
80C2×C22⋊C4×C17—21no—
81C2×C22⋊C4×C17—21no—
82C2×C22⋊C4×C17—21no—
83C2×C22⋊C4×C17—21no—
84C2×C22⋊C4×C17—21no—
85C2×C42×C17—21no—
86C2×C42×C17C2311yescharacteristic
87C2×C42×C17C2311yescharacteristic
88C2×C42×C17C2311yescharacteristic
89C2×#63230—22no—
90C2×#63230—22no—
91C2×#63230C2×C414yescomplemented
92C2×#63228—22no—
93C2×#63228—22no—
94C2×#63228C2×C414yes—
95C2×#63227—21no—
96C2×#63227—21no—
97C2×#63227—21no—
98C2×C4⋊Dic17C2311yescharacteristic
99C2×C4⋊Dic17C2311yescharacteristic
100C2×C4⋊Dic17C2311yescharacteristic
101C2×C4×Dic17—21no—
102C2×C4×Dic17—21no—
103C2×C4×Dic17—21no—
104C22×#3622C2311yescharacteristic
105C22×#3622C2311yescharacteristic
106C22×#3622C2311yescharacteristic
107C22×#3622C2311yescharacteristic
108C4×D68—22no—
109C4×D68—22no—
110C4×D68—22no—
111C4×D68—22no—
112C4×D68C2×C414yescomplemented
113C4×D68D414yes—
114C17×#95—21no—
115C17×#95—21no—
116C17×#95D411yescharacteristic
117C17×#95D411yescharacteristic
118C17×#95D411yescharacteristic
119C17×#95D411yescharacteristic
120#10587506—22no—
121#10587506—22no—
122#10587506C2×C414yescomplemented
123#10587503—22no—
124#10587503—22no—
125#10587503C2×C414yescomplemented
126#10587502—21no—
127#10587502—21no—
128#10587502—21no—
129#10587480—22no—
130#10587480—22no—
131#10587478—22no—
132#10587478—22no—
133C4⋊#3622—22no—
134C4⋊#3622C2×C414yescomplemented
135#10587474—22no—
136C4×#3622—22no—
137C24×C17—21no—
138C23×D17—21no—
139C2×Q8×C17—21no—
140C2×Q8×C17—21no—
141C2×Q8×C17—21no—
142C2×Q8×C17—21no—
143C2×Q8×C17—21no—
144C2×Q8×C17C22×C412yes—
145C2×D4×C17—21no—
146C2×D4×C17—21no—
147C2×D4×C17—21no—
148C2×D4×C17—21no—
149C2×D4×C17—21no—
150C2×D4×C17C22×C412yes—
151C22×C4×C17—21no—
152C22×C4×C17—21no—
153C22×C4×C17—21no—
154C22×C4×C17—42no—
155C22×C4×C17—81no—
156C22×C4×C17—81no—
157C22×C4×C17C2×D411yescharacteristic
158C22×C4×C17C2×D411yescharacteristic
159C22×C4×C17C2×D411yescharacteristic
160C22×C4×C17C2×D411yescharacteristic
161C22×C4×C17C2×D411yescharacteristic
162C22×C4×C17C2×D411yescharacteristic
163C22×C4×C17C2411yescharacteristic
164C22×Dic17—21no—
165C22×Dic17—21no—
166C22×Dic17—21no—
167C2×D68—21no—
168C2×D68—21no—
169C2×D68—21no—
170C2×D68C22×C412yes—
171C2×D68C2×D412yes—
172C2×D68#4112yes—
173C2×C4×D17—24no—
174C2×C4×D17—24no—
175C2×C4×D17—24no—
176C2×C4×D17—81no—
177C2×C4×D17—81no—
178C2×C4×D17—81no—
179C2×C4×D17—81no—
180C2×C4×D17—81no—
181C2×C4×D17—81no—
182C4⋊C4×C17—21no—
183C4⋊C4×C17—21no—
184C4⋊C4×C17—21no—
185C4⋊C4×C17—21no—
186C4⋊C4×C17—42no—
187C4⋊C4×C17—81no—
188C4⋊C4×C17—81no—
189C22⋊C4×C17—24no—
190C22⋊C4×C17—24no—
191C22⋊C4×C17—42no—
192C22⋊C4×C17—81no—
193C22⋊C4×C17—81no—
194C42×C17—21no—
195C42×C17—21no—
196C42×C17—42no—
197C42×C17C22×C412yes—
198C42×C17C2×D412yes—
199C42×C17#4112yes—
200C42×C17#4112yes—
201#63230—28no—
202#63228—28no—
203#63227—24no—
204#63227—24no—
205#63227—24no—
206C4⋊Dic17—21no—
207C4⋊Dic17—21no—
208C4⋊Dic17—21no—
209C4⋊Dic17C22×C412yes—
210C4⋊Dic17C2×D412yes—
211C4⋊Dic17#4112yes—
212C4×Dic17—81no—
213C4×Dic17—81no—
214C4×Dic17—81no—
215C2×#3622—21no—
216C2×#3622—21no—
217C2×#3622—21no—
218C2×#3622—21no—
219C2×#3622—21no—
220C2×#3622—21no—
221C2×#3622—21no—
222C2×#3622—21no—
223C2×#3622—21no—
224C2×#3622—21no—
225C2×#3622C22×C412yes—
226C2×#3622C22×C412yes—
227#21509—171nomaximal, Sylow
228C23×C17—22no—
229C23×C17—41no—
230C23×C17—41no—
231C23×C17—41no—
232C23×C17—41no—
233C23×C17—41no—
234C23×C17—41no—
235C23×C17C22×D411yescharacteristic
236C22×D17—22no—
237C22×D17—22no—
238C22×D17—22no—
239C22×D17—41no—
240C22×D17—41no—
241C22×D17—41no—
242C22×D17—41no—
243Q8×C17—22no—
244Q8×C17—22no—
245Q8×C17—41no—
246Q8×C17—41no—
247D4×C17—22no—
248D4×C17—22no—
249D4×C17—41no—
250D4×C17—41no—
251C2×C4×C17—21no—
252C2×C4×C17—21no—
253C2×C4×C17—21no—
254C2×C4×C17—21no—
255C2×C4×C17—21no—
256C2×C4×C17—21no—
257C2×C4×C17—21no—
258C2×C4×C17—21no—
259C2×C4×C17—22no—
260C2×C4×C17—21no—
261C2×C4×C17—21no—
262C2×C4×C17—21no—
263C2×C4×C17—21no—
264C2×C4×C17—21no—
265C2×C4×C17—21no—
266C2×C4×C17—41no—
267C2×C4×C17—41no—
268C2×C4×C17—41no—
269C2×C4×C17—41no—
270C2×C4×C17—41no—
271C2×C4×C17—41no—
272C2×C4×C17—41no—
273C2×C4×C17—41no—
274C2×C4×C17—84no—
275C2×C4×C17C4×D412yes—
276C2×C4×C17C4×D412yes—
277C2×C4×C17#12112yes—
278C2×C4×C17#12112yes—
279C2×C4×C17C23×C411yescharacteristic
280C2×C4×C17C22×D411yescharacteristic
281C2×C4×C17C2×#4111yescharacteristic
282C2×C4×C17C2×#4111yescharacteristic
283C2×C4×C17C2×#4111yescharacteristic
284C2×C4×C17C2×#4111yescharacteristic
285C2×Dic17—22no—
286C2×Dic17—22no—
287C2×Dic17—22no—
288C2×Dic17—41no—
289C2×Dic17—41no—
290C2×Dic17—41no—
291C2×Dic17—41no—
292C2×Dic17—41no—
293C2×Dic17—41no—
294D68—22no—
295D68—22no—
296D68—22no—
297D68C4×D414yes—
298C4×D17—84no—
299C4×D17—84no—
300C4×D17—84no—
301#3622—22no—
302#3622—22no—
303#3622—41no—
304#3622—41no—
305C2×#463—171no—
306C2×#440—171no—
307C2×C4×D8—171no—
308#2326D1711yescharacteristic, complemented
309#2275—171no—
310#1983—171no—
311#1947—171no—
312#1928—171no—
313#1925—171no—
314#1879—171no—
315#1877—171no—
316#1802—171no—
317#1768—171no—
318#1762—171no—
319C4×#103—171no—
320C22×C17—42no—
321C22×C17—42no—
322C22×C17—42no—
323C22×C17—81no—
324C22×C17—81no—
325C22×C17—81no—
326C22×C17—81no—
327C22×C17C2×C4×D411yescharacteristic
328C22×C17C2×#12111yescharacteristic
329C22×C17#52511yescharacteristic
330C22×C17#57611yescharacteristic
331C22×C17#57611yescharacteristic
332C22×C17#57711yescharacteristic
333C22×C17#57811yescharacteristic
334C2×D17—24no—
335C2×D17—42no—
336C2×D17—42no—
337C2×D17—42no—
338C2×D17—42no—
339C2×D17—42no—
340C2×D17—42no—
341C4×C17—22no—
342C4×C17—22no—
343C4×C17—22no—
344C4×C17—22no—
345C4×C17—41no—
346C4×C17—41no—
347C4×C17—42no—
348C4×C17—81no—
349C4×C17—81no—
350C4×C17C2×C4×D411yescharacteristic
351C4×C17C4×#4111yescharacteristic
352C4×C17#52911yescharacteristic
353C4×C17#53211yescharacteristic
354Dic17—42no—
355Dic17—42no—
356Dic17—42no—
357C22×SD16—171no—
358C22×D8—171no—
359C2×#124C2×D1711yescharacteristic
360C2×C4×Q8C2×D1711yescharacteristic
361C2×C4×D4—171no—
362C2×C4×D4—171no—
363C2×C4×D4—171no—
364C2×C4×D4C2×D1711yescharacteristic
365#463—178no—
366#440—344no—
367C4×D8—344no—
368C2×#107—171no—
369C2×#107—171no—
370C2×C4⋊C8—171no—
371C2×C4⋊C8—171no—
372C2×#103—171no—
373C2×#103—171no—
374C2×#103—171no—
375C2×#102—171no—
376C2×#102—171no—
377C2×#102—171no—
378C2×#102—171no—
379C2×#102—171no—
380C2×#97—171no—
381C2×C4×C8—171no—
382#391C2×D1711yescharacteristic
383#390C2×D1711yescharacteristic
384#388—21no—
385#388—21no—
386#385—21no—
387#385—21no—
388#384C2×D1711yescharacteristic
389C4×C4⋊C4—171no—
390C4×C4⋊C4—171no—
391C4×C4⋊C4—171no—
392C4×C22⋊C4—341no—
393C4×C22⋊C4—341no—
394C4×C22⋊C4—341no—
395#376C2×D1711yescharacteristic
396C2×#95—341no—
397#340—171no—
398#340—171no—
399#340—171no—
400#340—171no—
401#336—171no—
402#336—171no—
403C2×C17—82no—
404C2×C17C4×#12111yescharacteristic
405C2×C17#294611yescharacteristic
406C2×C17#295111yescharacteristic
407C2×C17#304111yescharacteristic
408C2×C17#304611yescharacteristic
409C2×C17#311811yescharacteristic
410C2×C17#312411yescharacteristic
411D17—44no—
412C22×Q8C22×D1711yescharacteristic
413C22×D4—171no—
414C22×D4C22×D1711yescharacteristic
415C23×C4—21no—
416C23×C4—341no—
417C23×C4—341no—
418C23×C4—341no—
419C2×SD16—174no—
420C2×SD16—342no—
421C2×SD16—342no—
422C2×D8—174no—
423C2×D8—342no—
424C2×D8—342no—
425C22×C8—171no—
426C22×C8—171no—
427C22×C8—171no—
428C22×C8—171no—
429#124—22no—
430#124C4×D1714yescomplemented
431C4×Q8—22no—
432C4×Q8—22no—
433C4×D4—22no—
434C4×D4—22no—
435C4×D4—174no—
436C4×D4—174no—
437C4×D4—342no—
438C4×D4—342no—
439C4×D4—342no—
440C4×D4—342no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—171no—
445C2×C4⋊C4—171no—
446C2×C4⋊C4—171no—
447C2×C4⋊C4C22×D1711yescharacteristic
448C2×C4⋊C4C22×D1711yescharacteristic
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—341no—
455C2×C22⋊C4—341no—
456C2×C22⋊C4—341no—
457C2×C42—21no—
458C2×C42—341no—
459C2×C42—341no—
460C2×C42—341no—
461C2×C42C22×D1711yescharacteristic
462C2×C42C22×D1711yescharacteristic
463C2×C42C22×D1711yescharacteristic
464#107—342no—
465#107—342no—
466C4⋊C8—174no—
467C4⋊C8—342no—
468#103—174no—
469#103—342no—
470#103—342no—
471#102—174no—
472#102—342no—
473#102—342no—
474#102—342no—
475#102—342no—
476#97—342no—
477C4×C8—342no—
478#95—21no—
479#95—21no—
480#95—341no—
481#95—341no—
482#95—341no—
483#95C22⋊D1711yescharacteristic
484#95C22⋊D1711yescharacteristic
485#95C22⋊D1711yescharacteristic
486#95C22⋊D1711yescharacteristic
487C17#2150911yescharacteristic, complemented, Sylow
488C24—21no—
489C24—341no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8C2×C4×D1712yes—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—172no—
502C2×D4—172no—
503C2×D4—172no—
504C2×D4—341no—
505C2×D4—341no—
506C2×D4—341no—
507C2×D4C2×C4×D1712yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—42no—
512C22×C4—81no—
513C22×C4—81no—
514C22×C4—344no—
515C22×C4—341no—
516C22×C4—341no—
517C22×C4—341no—
518C22×C4—344no—
519C22×C4—344no—
520C22×C4—1361no—
521C22×C4—1361no—
522C22×C4—1361no—
523C22×C4—1361no—
524C22×C4—1361no—
525C22×C4—1361no—
526C22×C4C2×C22⋊D1711yescharacteristic
527C22×C4C2×C22⋊D1711yescharacteristic
528C22×C4C2×C22⋊D1711yescharacteristic
529C22×C4C2×C22⋊D1711yescharacteristic
530C22×C4C2×C22⋊D1711yescharacteristic
531C22×C4C2×C22⋊D1711yescharacteristic
532C22×C4C23×D1711yescharacteristic
533SD16—348no—
534D8—348no—
535C2×C8—172no—
536C2×C8—172no—
537C2×C8—341no—
538C2×C8—341no—
539C2×C8—341no—
540C2×C8—341no—
541C2×C8—341no—
542C2×C8—341no—
543C2×C8—341no—
544C2×C8—341no—
545C2×C8—341no—
546C2×C8—341no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—42no—
552C4⋊C4—81no—
553C4⋊C4—81no—
554C4⋊C4—172no—
555C4⋊C4—172no—
556C4⋊C4—172no—
557C4⋊C4—341no—
558C4⋊C4—341no—
559C4⋊C4—341no—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—42no—
563C22⋊C4—81no—
564C22⋊C4—81no—
565C22⋊C4—344no—
566C22⋊C4—344no—
567C22⋊C4—344no—
568C42—21no—
569C42—21no—
570C42—42no—
571C42—1361no—
572C42—1361no—
573C42—1361no—
574C42C2×C4×D1712yes—
575C42#6325212yes—
576C42D4×D1712yes—
577C42#6325412yes—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—342no—
586C23—342no—
587C23—342no—
588C23—681no—
589C23—681no—
590C23—681no—
591C23—681no—
592C23C22×C22⋊D1711yescharacteristic
593Q8—22no—
594Q8—22no—
595Q8—41no—
596Q8—41no—
597D4—22no—
598D4—22no—
599D4—41no—
600D4—41no—
601D4—174no—
602D4—342no—
603D4—342no—
604D4—342no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—84no—
629C2×C4—342no—
630C2×C4—342no—
631C2×C4—342no—
632C2×C4—681no—
633C2×C4—681no—
634C2×C4—681no—
635C2×C4—681no—
636C2×C4—681no—
637C2×C4—681no—
638C2×C4—1364no—
639C2×C4—1364no—
640C2×C4—1364no—
641C2×C4C4×C22⋊D1712yes—
642C2×C4C4×C22⋊D1712yes—
643C2×C4#1058762412yes—
644C2×C4#1058762412yes—
645C2×C4C22×C4×D1711yescharacteristic
646C2×C4C2×#6325211yescharacteristic
647C2×C4C2×D4×D1711yescharacteristic
648C2×C4C2×#6325411yescharacteristic
649C2×C4#41×D1711yescharacteristic
650C2×C4#41×D1711yescharacteristic
651C8—342no—
652C8—342no—
653C8—681no—
654C8—681no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22—344no—
663C22—682no—
664C22—682no—
665C22—682no—
666C22—682no—
667C22—682no—
668C22—682no—
669C22C2×C4×C22⋊D1711yescharacteristic
670C22C2×#1058762411yescharacteristic
671C22#1176331611yescharacteristic
672C22#1176361211yescharacteristic
673C22#1176361211yescharacteristic
674C22#1176361711yescharacteristic
675C22#1176362411yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—41no—
681C4—41no—
682C4—42no—
683C4—81no—
684C4—81no—
685C4—682no—
686C4—682no—
687C4—682no—
688C4C4×D4×D1711yescharacteristic
689C4C4×#6325411yescharacteristic
690C4#1176334111yescharacteristic
691C4#1176335611yescharacteristic
692C2—82no—
693C2—684no—
694C2C4×#1058762411yescharacteristic
695C2#1453761211yescharacteristic
696C2#1453765711yescharacteristic
697C2#1453828311yescharacteristic
698C2#1453833011yescharacteristic
699C2#1453896211yescharacteristic
700C2#1453904011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC17×#2326C2
socleC23×C17C22×D4
prime radicalC22×#63228C22
cosocleC22×C4×C17C24
hypercenter#2326D17
hypocenterC17#21509
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ #376 ◁ #2326

Complements

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

NH ≅ G/Ntype
2. C2×#11762907C2semidirect
4. #14531146C2semidirect
5. #14529717C2semidirect
6. #14529540C2semidirect
7. #14529422C2semidirect
8. #14529401C2semidirect
10. #14529121C2semidirect
11. #14528781C2semidirect
12. #14528641C2semidirect
13. #14528609C2semidirect
14. C4×#10587506C2semidirect
15. C17×#2326C2semidirect
21. #11763021C4semidirect
70. C17×#124C2×C4semidirect
91. C2×#63230C2×C4semidirect
112. C4×D68C2×C4semidirect
122. #10587506C2×C4semidirect
125. #10587503C2×C4semidirect
134. C4⋊#3622C2×C4semidirect
308. #2326D17semidirect
430. #124C4×D17semidirect
487. C17#21509semidirect

Maximal subgroups

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

subgroupindex
C2×#117630212
C2×#117629072
C2×C4×#632282
#145311462
#145297172
#145295402
#145294222
#145294012
#145291352
#145291212
#145287812
#145286412
#145286092
C4×#105875062
C17×#23262
#2150917