Finite Group Databasebeta

← #32861135

Subgroups — #32861135

Order 18176.

2694 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986764C211yesmaximal, characteristic
2#22601540C211yesmaximal, characteristic
3#520×D71C211yesmaximal, characteristic
4#22596939C213yesmaximal, complemented
5#22596938C211yesmaximal, characteristic, complemented
6#22596936C213yesmaximal, complemented
7#22596935C211yesmaximal, characteristic, complemented
8#22596934C213yesmaximal, complemented
9#22596933C211yesmaximal, characteristic, complemented
10#22596932C213yesmaximal, complemented
11#22596928C213yesmaximal, complemented
12#22596927C213yesmaximal, complemented
13C2×#17986040C213yesmaximal, complemented
14#428×D71C213yesmaximal, complemented
15C71×#2913C211yesmaximal, characteristic, complemented
16C2×#41×D71C2211yescharacteristic
17#17986764C4116yescomplemented
18C2×#14556136C2213yes—
19C2×#14556135C2211yescharacteristic
20C2×#14556134C2213yes—
21C22×#11765848C2213yes—
22C2×M16×D71C2213yes—
23#17986482C2211yescharacteristic
24#17986482C2211yescharacteristic
25#17986481—21no—
26#17986480C2213yes—
27#17986480C2213yes—
28#17986479C2213yes—
29#17986479C2213yes—
30#17986478—23no—
31#17986475—21no—
32#17986471—23no—
33C4×#11765866—21no—
34C4×#11765864—23no—
35C4×Q8×D71—21no—
36C4×D4×D71—23no—
37C2×#14556086C2213yes—
38#117×D71C2213yes—
39#117×D71C2213yes—
40C2×C4⋊C4×D71C2213yes—
41#17986042C2213yescomplemented
42#17986042C2213yescomplemented
43#17986041C2213yescomplemented
44#17986041C2213yescomplemented
45#17986040C2216yes—
46#17986040C2213yes—
47#17986040C2211yescharacteristic
48#17986040C2216yescomplemented
49#17986040C2216yescomplemented
50#17986040C2213yescomplemented
51#17986040C2213yescomplemented
52#17986039C2213yescomplemented
53#17986039C2213yescomplemented
54#17986038C2213yes—
55#17986038C2213yes—
56#17986038C2213yescomplemented
57#17986038C2213yescomplemented
58#17986037C2213yescomplemented
59#17986036C2216yescomplemented
60#17986035C2213yescomplemented
61#17986035C2213yescomplemented
62#17986034C2216yescomplemented
63C2×#14556061C2213yescomplemented
64#107×D71C2216yescomplemented
65C2×#14556060C2213yescomplemented
66C2×#14556059C2213yescomplemented
67#106×D71C2216yescomplemented
68C2×#131×C71C2211yescharacteristic
69#520×C71C2211yescharacteristic
70#520×C71C2211yescharacteristic
71#428×C71C2213yescomplemented
72#428×C71C2213yescomplemented
73#427×C71C2213yescomplemented
74C2×#107×C71C2213yescomplemented
75C2×#11765866D411yescharacteristic
76C2×#11765865C2313yes—
77C2×#11765864D413yes—
78#41×D71C2×C418yes—
79#41×D71Q818yes—
80C2×Q8×D71D411yescharacteristic
81C2×D4×D71D413yes—
82C22×C4×D71—23no—
83C22×C4×D71C2313yes—
84#14556136C2×C4124yescomplemented
85#14556135C2×C418yescomplemented
86#14556134C2×C4124yescomplemented
87C2×#11765849C2313yes—
88C2×#11765848C2×C4124yescomplemented
89C2×#11765848C2313yes—
90C2×#11765848C2311yescharacteristic
91C2×#11765848C2313yes—
92C2×#11765848C2313yes—
93M16×D71C2×C4124yescomplemented
94C22×C71⋊C8C2313yes—
95C2×C8×D71C2316yes—
96Q8×Dic71—21no—
97Q8×Dic71—21no—
98C4×Dic142—23no—
99C4×Dic142—23no—
100#14556093—23no—
101#14556093—23no—
102C4×D284—23no—
103C4×D284—23no—
104D4×Dic71—23no—
105D4×Dic71—23no—
106#14556090—23no—
107#14556090—23no—
108C4×C22⋊D71—26no—
109C4×C22⋊D71—26no—
110(C22⋊D71)⋊C4—26no—
111(C22⋊D71)⋊C4—26no—
112#14556087C2313yes—
113#14556087C2313yes—
114#14556086—23no—
115#14556086—23no—
116#14556086C2311yescharacteristic
117#14556086C2313yes—
118#14556086C2313yes—
119#14556086C2313yes—
120#14556086C2316yes—
121#14556085—23no—
122#14556085—23no—
123#14556084—23no—
124#14556084—23no—
125C2×C4⋊Dic71C2313yes—
126C2×C4⋊Dic71C2313yes—
127C2×Dic71⋊C4—23no—
128C4⋊C4×D71—23no—
129C4⋊C4×D71—23no—
130C4⋊C4×D71C2313yes—
131C4⋊C4×D71C2316yes—
132C4⋊C4×D71C2311yescharacteristic
133C4⋊C4×D71C2313yes—
134C4⋊C4×D71C2313yes—
135C2×(C2×D71)⋊C4—23no—
136C22⋊C4×D71—23no—
137C22⋊C4×D71—23no—
138C2×C4×Dic71—23no—
139C42×D71—23no—
140C42×D71—23no—
141#14556062C2313yes—
142#14556062C2313yes—
143#14556061C2313yes—
144#14556061C2316yes—
145#14556061C2313yes—
146#14556061C2313yes—
147#14556061C2311yescharacteristic
148#14556060C2316yes—
149#14556060C2313yes—
150#14556060C2311yescharacteristic
151#14556059C2313yes—
152#14556059C2316yes—
153#14556059C2313yes—
154#14556059C2311yescharacteristic
155#14556059C2313yes—
156C2×#41×C71C2311yescharacteristic
157#131×C71C2×C418yescomplemented
158C2×M16×C71C2313yes—
159C22×C8×C71C2313yes—
160C4×Q8×C71—21no—
161C4×Q8×C71—21no—
162C4×D4×C71—23no—
163C4×D4×C71—23no—
164#117×C71C2313yes—
165#117×C71C2313yes—
166C2×C4⋊C4×C71C2313yes—
167C2×C4⋊C4×C71C2313yes—
168#107×C71C2313yes—
169#107×C71C2316yes—
170#107×C71C2311yescharacteristic
171#106×C71C2313yes—
172#106×C71C2313yes—
173C23×D71C2×D413yes—
174#11765866C4⋊C418yes—
175#11765865C22×C4112yes—
176#11765865C2×Q8112yes—
177#11765864C4⋊C4124yes—
178C2×Dic142C2×D413yes—
179Q8×D71C4⋊C418yes—
180C2×D284C2×D413yes—
181C2×C22⋊D71C2×D416yes—
182D4×D71C4⋊C4124yes—
183C22×Dic71—23no—
184C22×Dic71—23no—
185C22×Dic71C2×D413yes—
186C2×C4×D71—23no—
187C2×C4×D71—21no—
188C2×C4×D71—26no—
189C2×C4×D71—23no—
190C2×C4×D71—23no—
191C2×C4×D71—86no—
192C2×C4×D71C22×C4112yes—
193C2×C4×D71C2×D413yes—
194C2×C4×D71C2×D413yes—
195C2×C4×D71C2×Q8112yes—
196C2×C4×D71C2411yescharacteristic
197C2×C4×D71C2413yes—
198#11765849C22×C4112yescomplemented
199#11765848C22×C4112yes—
200#11765848C22×C414yes—
201#11765848C22×C4112yescomplemented
202#11765848C22×C4112yescomplemented
203C2×C71⋊C8C22×C4112yescomplemented
204C2×C71⋊C8C2413yes—
205C2×C71⋊C8C2411yescharacteristic
206C8×D71C22×C4124yescomplemented
207C4⋊Dic71—23no—
208C4⋊Dic71—23no—
209C4⋊Dic71C2413yes—
210C4⋊Dic71C2411yescharacteristic
211C4⋊Dic71C2413yes—
212C4⋊Dic71C2411yescharacteristic
213Dic71⋊C4—23no—
214Dic71⋊C4—26no—
215Dic71⋊C4—21no—
216Dic71⋊C4—23no—
217Dic71⋊C4—23no—
218C22⋊Dic71—23no—
219C22⋊Dic71—23no—
220(C2×D71)⋊C4—21no—
221(C2×D71)⋊C4—23no—
222(C2×D71)⋊C4—23no—
223(C2×D71)⋊C4—23no—
224(C2×D71)⋊C4—26no—
225C4×Dic71—23no—
226C4×Dic71—23no—
227C4×Dic71—21no—
228C4×Dic71—23no—
229C4×Dic71—23no—
230C4×Dic71—23no—
231C4×Dic71—26no—
232#41×C71C22×C414yes—
233#41×C71C2×Q814yes—
234C2×Q8×C71C2×D411yescharacteristic
235C2×D4×C71C2×D413yes—
236C22×C4×C71—23no—
237C22×C4×C71—23no—
238C22×C4×C71C2413yes—
239M16×C71C22×C4112yescomplemented
240C2×C8×C71C22×C4112yescomplemented
241C2×C8×C71C2413yes—
242C2×C8×C71C2411yescharacteristic
243C4⋊C4×C71—23no—
244C4⋊C4×C71—23no—
245C4⋊C4×C71C2411yescharacteristic
246C4⋊C4×C71C2411yescharacteristic
247C4⋊C4×C71C2413yes—
248C4⋊C4×C71C2413yes—
249C22⋊C4×C71—23no—
250C22⋊C4×C71—23no—
251C42×C71—23no—
252C42×C71—23no—
253C23×C71C22×D413yes—
254C22×D71—43no—
255C22×D71—43no—
256C22×D71C2×C4⋊C4112yes—
257C22×D71C22×D411yescharacteristic
258C22×D71C22×D413yes—
259Q8×C71C2×C4⋊C414yes—
260D4×C71C2×C4⋊C4112yes—
261C2×C4×C71—21no—
262C2×C4×C71—21no—
263C2×C4×C71—23no—
264C2×C4×C71—23no—
265C2×C4×C71—83no—
266C2×C4×C71—83no—
267C2×C4×C71C23×C416yes—
268C2×C4×C71C22×D413yes—
269C2×C4×C71C22×Q816yes—
270C2×C4×C71C2511yescharacteristic
271C22⋊D71C2×C4⋊C4124yes—
272C2×Dic71—21no—
273C2×Dic71—23no—
274C2×Dic71—21no—
275C2×Dic71—23no—
276C2×Dic71—83no—
277C2×Dic71—83no—
278C2×Dic71C2×C4⋊C4112yes—
279C2×Dic71C22×D411yescharacteristic
280C2×Dic71C22×D413yes—
281D284C2×C4⋊C4112yes—
282C4×D71—42no—
283C4×D71—46no—
284C4×D71—83no—
285C4×D71—83no—
286C4×D71—86no—
287C4×D71C2×C4⋊C4112yes—
288C4×D71C2×C4⋊C4112yes—
289C4×D71C23×C416yes—
290C4×D71C23×C412yes—
291C4×D71C22×Q812yes—
292C4×D71C22×Q816yes—
293Dic142C2×C4⋊C4112yes—
294C8×C71C23×C412yes—
295C8×C71C23×C416yes—
296C71⋊C8C23×C416yes—
297C71⋊C8C23×C412yes—
298C22×C71—23no—
299C22×C71—23no—
300C22×C71C22×C4⋊C416yes—
301C22×C71C23×D411yescharacteristic
302C2×D71—21no—
303C2×D71—23no—
304C2×D71—21no—
305C2×D71—23no—
306C2×D71—412no—
307C2×D71C22×C4⋊C412yes—
308C2×D71C22×C4⋊C416yes—
309C4×C71—43no—
310C4×C71—43no—
311C4×C71—41no—
312C4×C71—41no—
313C4×C71C22×C4⋊C416yes—
314C4×C71C24×C411yescharacteristic
315C4×C71C23×Q811yescharacteristic
316Dic71—43no—
317Dic71—41no—
318Dic71—41no—
319Dic71—43no—
320Dic71C22×C4⋊C416yes—
321Dic71C22×C4⋊C412yes—
322#60109—711nomaximal, Sylow
323C2×C71—26no—
324C2×C71C23×C4⋊C411yescharacteristic
325C2×C71#358511yescharacteristic
326C2×C71#358611yescharacteristic
327D71—22no—
328D71—26no—
329C2×#568—711no—
330#3428—711no—
331C2×#520—711no—
332#2913—713no—
333#2913—713no—
334#2913—711no—
335#2913D7111yescharacteristic, complemented
336#2912—713no—
337#2912—713no—
338#2912—711no—
339#2912—711no—
340#2911—713no—
341#2911—713no—
342C2×#428—713no—
343C2×#428—713no—
344C71#6010911yescharacteristic, complemented, Sylow
345C22×#41—711no—
346#568—7116no—
347C2×#131—711no—
348C2×#131—713no—
349C2×#131—713no—
350C2×#131C2×D7111yescharacteristic
351C22×M16—713no—
352C22×M16—713no—
353#520—711no—
354#520—711no—
355#520—713no—
356#520—713no—
357#520—713no—
358#520—713no—
359#520—1423no—
360#520—1421no—
361#520C2×D7111yescharacteristic
362#520C2×D7111yescharacteristic
363#519—1421no—
364#518—1423no—
365C4×#41—1423no—
366C4×#41—1421no—
367C2×C4×Q8—1421no—
368C2×C4×D4—1423no—
369C2×#117—713no—
370C2×#117—713no—
371C2×#117—713no—
372C22×C4⋊C4—713no—
373#428—713no—
374#428—713no—
375#428—713no—
376#428—713no—
377#428—713no—
378#428—713no—
379#428—716no—
380#428—713no—
381#428—716no—
382#428—716no—
383#428—711no—
384#428—713no—
385#428—713no—
386#428—713no—
387#428—713no—
388#428—713no—
389#428—713no—
390#428C2×D7113yescomplemented
391#428C2×D7113yescomplemented
392#427—713no—
393#427—713no—
394#427—713no—
395#427—716no—
396#427—716no—
397#427C2×D7113yescomplemented
398C2×#107—713no—
399C2×#107—716no—
400C2×#107C2×D7113yescomplemented
401C2×#106—713no—
402C2×#106—713no—
403C2×#106—716no—
404C2×#41—718no—
405C2×#41—718no—
406C2×#41—711no—
407C2×#41—713no—
408C2×#41—713no—
409C2×#41C22×D7111yescharacteristic
410C22×Q8—711no—
411C22×D4—713no—
412C23×C4—713no—
413C23×C4—1423no—
414#131—718no—
415#131—7124no—
416#131—7124no—
417#131C4×D7118yescomplemented
418C2×M16—713no—
419C2×M16—7124no—
420C2×M16—7124no—
421C2×M16—711no—
422C2×M16—713no—
423C2×M16—713no—
424C2×M16—713no—
425C2×M16C22×D7113yes—
426C22×C8—713no—
427C22×C8—716no—
428C22×C8C22×D7113yes—
429C4×Q8—21no—
430C4×Q8—21no—
431C4×Q8—1423no—
432C4×Q8—1423no—
433C4×Q8—1423no—
434C4×Q8—1423no—
435C4×Q8—1421no—
436C4×Q8—1421no—
437C4×D4—23no—
438C4×D4—23no—
439C4×D4—1423no—
440C4×D4—1423no—
441C4×D4—1426no—
442C4×D4—1426no—
443C4×D4—1423no—
444C4×D4—1423no—
445C4×D4—1426no—
446C4×D4—1426no—
447C4×D4—1423no—
448C4×D4—1423no—
449#117—713no—
450#117—713no—
451#117—713no—
452#117—711no—
453#117—716no—
454#117—713no—
455#117—713no—
456#117—1423no—
457#117—1423no—
458#117—1423no—
459#117—1423no—
460#117—1423no—
461#117—1423no—
462#117C22×D7113yes—
463#117C22×D7113yes—
464C2×C4⋊C4—713no—
465C2×C4⋊C4—713no—
466C2×C4⋊C4—713no—
467C2×C4⋊C4—716no—
468C2×C4⋊C4—711no—
469C2×C4⋊C4—713no—
470C2×C4⋊C4—713no—
471C2×C4⋊C4—1423no—
472C2×C4⋊C4—1423no—
473C2×C4⋊C4—1423no—
474C2×C4⋊C4C22×D7113yes—
475C2×C4⋊C4C22×D7113yes—
476C2×C22⋊C4—1423no—
477C2×C22⋊C4—1423no—
478C2×C22⋊C4—1423no—
479C2×C42—1423no—
480C2×C42—1423no—
481C2×C42—1423no—
482#107—713no—
483#107—713no—
484#107—716no—
485#107—713no—
486#107—713no—
487#107—713no—
488#107—711no—
489#107C22×D7116yes—
490#107C22×D7113yes—
491#107C22×D7111yescharacteristic
492#106—713no—
493#106—716no—
494#106—711no—
495#106—716no—
496#106—713no—
497#106—713no—
498#106—713no—
499#106—711no—
500#106C22×D7113yes—
501#106C22×D7113yes—
502C24—713no—
503#41—718no—
504#41—7124no—
505#41—7112no—
506#41—7112no—
507#41C2×C4×D7114yes—
508#41Q8×D7114yes—
509C2×Q8—718no—
510C2×Q8—713no—
511C2×Q8D4×D7111yescharacteristic
512C2×D4—716no—
513C2×D4—7124no—
514C2×D4—713no—
515C2×D4D4×D7113yes—
516C22×C4—23no—
517C22×C4—23no—
518C22×C4—5686no—
519C22×C4—713no—
520C22×C4—7112no—
521C22×C4—713no—
522C22×C4—713no—
523C22×C4—7112no—
524C22×C4—713no—
525C22×C4—711no—
526C22×C4—1421no—
527C22×C4—1423no—
528C22×C4—1423no—
529C22×C4—1423no—
530C22×C4—1426no—
531C22×C4—1423no—
532C22×C4—1423no—
533C22×C4C23×D7113yes—
534M16—7112no—
535M16—7112no—
536M16—714no—
537M16—7112no—
538M16—7112no—
539M16C2×C4×D71112yescomplemented
540C2×C8—7112no—
541C2×C8—713no—
542C2×C8—711no—
543C2×C8—7124no—
544C2×C8C2×C4×D71112yescomplemented
545C2×C8C23×D7111yescharacteristic
546C2×C8C23×D7113yes—
547C4⋊C4—23no—
548C4⋊C4—23no—
549C4⋊C4—713no—
550C4⋊C4—713no—
551C4⋊C4—711no—
552C4⋊C4—711no—
553C4⋊C4—1423no—
554C4⋊C4—1426no—
555C4⋊C4—1421no—
556C4⋊C4—1423no—
557C4⋊C4—1423no—
558C4⋊C4—1423no—
559C4⋊C4—1423no—
560C4⋊C4C23×D7111yescharacteristic
561C4⋊C4C23×D7113yes—
562C4⋊C4C23×D7111yescharacteristic
563C4⋊C4C23×D7113yes—
564C22⋊C4—23no—
565C22⋊C4—23no—
566C22⋊C4—1421no—
567C22⋊C4—1423no—
568C22⋊C4—1423no—
569C22⋊C4—1426no—
570C22⋊C4—1423no—
571C22⋊C4—1423no—
572C22⋊C4—1423no—
573C42—23no—
574C42—23no—
575C42—1421no—
576C42—1423no—
577C42—1423no—
578C42—1426no—
579C42—1423no—
580C42—1423no—
581C42—1423no—
582C23—2843no—
583C23—2843no—
584C23—7112no—
585C23—711no—
586C23—713no—
587C23C2×D4×D7113yes—
588Q8—7112no—
589Q8C4⋊C4×D7114yes—
590D4—7124no—
591D4—7112no—
592D4C4⋊C4×D71112yes—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—23no—
596C2×C4—23no—
597C2×C4—83no—
598C2×C4—83no—
599C2×C4—2846no—
600C2×C4—2842no—
601C2×C4—5686no—
602C2×C4—5683no—
603C2×C4—5683no—
604C2×C4—5683no—
605C2×C4—5683no—
606C2×C4—711no—
607C2×C4—713no—
608C2×C4—7112no—
609C2×C4—716no—
610C2×C4—712no—
611C2×C4—712no—
612C2×C4—716no—
613C2×C4—7112no—
614C2×C4—7112no—
615C2×C4—1421no—
616C2×C4—1421no—
617C2×C4—1423no—
618C2×C4—1423no—
619C2×C4C22×C4×D7116yes—
620C2×C4C2×D4×D7113yes—
621C2×C4C2×Q8×D7116yes—
622C2×C4C24×D7111yescharacteristic
623C8—712no—
624C8—716no—
625C8C22×C4×D7116yes—
626C8C22×C4×D7112yes—
627C22—23no—
628C22—23no—
629C22—28412no—
630C22—712no—
631C22—716no—
632C22—1421no—
633C22—1423no—
634C22—1421no—
635C22—1423no—
636C22C2×C4⋊C4×D7116yes—
637C22C22×D4×D7111yescharacteristic
638C4—43no—
639C4—43no—
640C4—41no—
641C4—41no—
642C4—2843no—
643C4—2841no—
644C4—2841no—
645C4—2843no—
646C4—712no—
647C4—716no—
648C4C2×C4⋊C4×D7116yes—
649C4C23×C4×D7111yescharacteristic
650C4C22×Q8×D7111yescharacteristic
651C2—26no—
652C2—1422no—
653C2—1426no—
654C2C22×C4⋊C4×D7111yescharacteristic
655C2#2260311511yescharacteristic
656C2#2260312511yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutatorC4×C71C24×C4
FrattiniC2×C4C24×D71
FittingC71×#2913C2
socleC22×C71C23×D4
prime radicalC2×#41×D71C22
cosocleC2×C4×C71C25
hypercenter#2913D71
hypocenterC71#60109
LCSG ▷ C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C2×#41 ◁ #2913

Complements

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

NH ≅ G/Ntype
4. #22596939C2semidirect
5. #22596938C2semidirect
6. #22596936C2semidirect
7. #22596935C2semidirect
8. #22596934C2semidirect
9. #22596933C2semidirect
10. #22596932C2semidirect
11. #22596928C2semidirect
12. #22596927C2semidirect
13. C2×#17986040C2semidirect
14. #428×D71C2semidirect
15. C71×#2913C2semidirect
17. #17986764C4semidirect
41. #17986042C22semidirect
42. #17986042C22semidirect
43. #17986041C22semidirect
44. #17986041C22semidirect
48. #17986040C22semidirect
49. #17986040C22semidirect
50. #17986040C22semidirect
51. #17986040C22semidirect
52. #17986039C22semidirect
53. #17986039C22semidirect
56. #17986038C22semidirect
57. #17986038C22semidirect
58. #17986037C22semidirect
59. #17986036C22semidirect
60. #17986035C22semidirect
61. #17986035C22semidirect
62. #17986034C22semidirect
63. C2×#14556061C22semidirect
64. #107×D71C22semidirect
65. C2×#14556060C22semidirect
66. C2×#14556059C22semidirect
67. #106×D71C22semidirect
71. #428×C71C22semidirect
72. #428×C71C22semidirect
73. #427×C71C22semidirect
74. C2×#107×C71C22semidirect
84. #14556136C2×C4semidirect
85. #14556135C2×C4semidirect
86. #14556134C2×C4semidirect
88. C2×#11765848C2×C4semidirect
93. M16×D71C2×C4semidirect
157. #131×C71C2×C4semidirect
198. #11765849C22×C4semidirect
201. #11765848C22×C4semidirect
202. #11765848C22×C4semidirect
203. C2×C71⋊C8C22×C4semidirect
206. C8×D71C22×C4semidirect
239. M16×C71C22×C4semidirect
240. C2×C8×C71C22×C4semidirect
335. #2913D71semidirect
344. C71#60109semidirect
390. #428C2×D71semidirect
391. #428C2×D71semidirect
397. #427C2×D71semidirect
400. C2×#107C2×D71semidirect
417. #131C4×D71semidirect
539. M16C2×C4×D71semidirect
544. C2×C8C2×C4×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179867642
#226015402
#520×D712
#225969392
#225969382
#225969362
#225969352
#225969342
#225969332
#225969322
#225969282
#225969272
C2×#179860402
#428×D712
C71×#29132
#6010971