Finite Group Databasebeta

← #26182584

Subgroups — #26182584

Order 12032.

996 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
1C2×#15689828C211yesmaximal, characteristic
2#20252424C212yesmaximal
3#20241753C212yesmaximal, complemented
4#20241750C212yesmaximal, complemented
5#20241742C212yesmaximal, complemented
6#20241730C211yesmaximal, characteristic, complemented
7#20241716C211yesmaximal, characteristic, complemented
8#20241710C211yesmaximal, characteristic, complemented
9C2×#15688849C211yesmaximal, characteristic, complemented
10#324×D47C211yesmaximal, characteristic, complemented
11C47×#1463C211yesmaximal, characteristic, complemented
12#15689828—22no—
13#15689828—22no—
14#15689828—22no—
15#15689828—22no—
16C2×#13094023C411yescharacteristic
17C2×#13094014C411yescharacteristic
18C2×#13094014C2211yescharacteristic
19C2×#13094004C411yescharacteristic
20C2×#13094003C411yescharacteristic
21C2×#13094003C411yescharacteristic
22C2×#13094003C2211yescharacteristic
23C2×#13094002C411yescharacteristic
24C2×#13094002C2211yescharacteristic
25C2×#13093989C2211yescharacteristic
26C2×C4×C22⋊D47C411yescharacteristic
27C2×C4×C22⋊D47C411yescharacteristic
28C2×C4×C22⋊D47C2211yescharacteristic
29C2×C4⋊C4×D47C2211yescharacteristic
30#15689199—22no—
31#15689192—22no—
32#15689191—22no—
33(C22⋊D47)⋊C8—22no—
34#15689177C2212yes—
35#15689173C2212yes—
36#15689085C2212yes—
37C2×C22⋊(C47⋊C8)C2212yes—
38C22⋊C8×D47C2212yes—
39#15688849C2211yescharacteristic
40#15688849C2211yescharacteristic
41#15688849C2212yes—
42#15688848C2212yes—
43#15688848C2212yes—
44#15688848C2212yes—
45#15688848C2212yes—
46C22×C4⋊C4×C47C2211yescharacteristic
47C47×#407C2212yes—
48C47×#324C2211yescharacteristic
49C47×#324C2211yescharacteristic
50C47×#324C2212yes—
51C22×Dic94C2×C411yescharacteristic
52C22×Dic94C2×C411yescharacteristic
53C22×Dic94C2×C411yescharacteristic
54C22×C22⋊D47C2×C411yescharacteristic
55C22×C4×D47C2×C411yescharacteristic
56C22×C4×D47C2×C411yescharacteristic
57C22×C4×D47C2311yescharacteristic
58C2×#10625324—22no—
59C22×C47⋊C8—22no—
60C2×C8×D47—22no—
61#13094023—22no—
62#13094023—22no—
63#13094014—22no—
64#13094014—22no—
65#13094014—22no—
66#13094014—22no—
67#13094004—22no—
68#13094004—22no—
69#13094003—22no—
70#13094003—22no—
71#13094003—22no—
72#13094003—22no—
73#13094003—22no—
74#13094003—22no—
75#13094002—22no—
76#13094002—22no—
77#13094002—22no—
78#13094002—22no—
79#13093989—22no—
80#13093989—22no—
81C4×C22⋊D47—21no—
82C4×C22⋊D47—21no—
83C4×C22⋊D47—21no—
84C4×C22⋊D47—21no—
85C4×C22⋊D47—21no—
86C4×C22⋊D47—21no—
87C4×C22⋊D47—21no—
88C4×C22⋊D47—21no—
89C4×C22⋊D47D412yes—
90C4×C22⋊D47D412yes—
91C4×C22⋊D47D412yes—
92C4×C22⋊D47D412yes—
93C2×C4⋊Dic47C2×C411yescharacteristic
94C2×C4⋊Dic47C2×C411yescharacteristic
95C2×C4⋊Dic47C2×C411yescharacteristic
96C2×Dic47⋊C4C2×C411yescharacteristic
97C2×Dic47⋊C4C2×C411yescharacteristic
98C2×Dic47⋊C4C2×C411yescharacteristic
99C2×Dic47⋊C4C2×C411yescharacteristic
100C2×Dic47⋊C4C2×C411yescharacteristic
101C2×Dic47⋊C4C2×C411yescharacteristic
102C2×Dic47⋊C4C2×C411yescharacteristic
103C2×Dic47⋊C4C2311yescharacteristic
104C2×Dic47⋊C4C2311yescharacteristic
105C4⋊C4×D47—22no—
106C4⋊C4×D47—22no—
107C2×C22⋊Dic47C2×C411yescharacteristic
108C2×C22⋊Dic47C2×C411yescharacteristic
109C2×C22⋊Dic47C2×C411yescharacteristic
110C2×(C2×D47)⋊C4C2×C411yescharacteristic
111C2×(C2×D47)⋊C4C2×C411yescharacteristic
112C2×(C2×D47)⋊C4C2×C411yescharacteristic
113C2×C4×Dic47C2×C411yescharacteristic
114C2×C4×Dic47C2×C411yescharacteristic
115C2×C4×Dic47C2311yescharacteristic
116Dic47⋊C8—22no—
117Dic47⋊C8—22no—
118C22⋊(C47⋊C8)—22no—
119C22⋊(C47⋊C8)C2312yes—
120C22⋊(C47⋊C8)C2312yes—
121(C2×D47)⋊C8—22no—
122(C2×D47)⋊C8—22no—
123#13093934—22no—
124C8×Dic47—22no—
125C23×C4×C47C2×C411yescharacteristic
126C23×C4×C47C2×C411yescharacteristic
127C23×C4×C47C2311yescharacteristic
128C2×M16×C47—22no—
129C2×C4⋊C4×C47—22no—
130C2×C4⋊C4×C47—22no—
131C2×C4⋊C4×C47C2×C411yescharacteristic
132C2×C4⋊C4×C47C2×C411yescharacteristic
133C2×C4⋊C4×C47C2311yescharacteristic
134C2×C4⋊C4×C47C2311yescharacteristic
135C22⋊C8×C47—22no—
136C22⋊C8×C47C2312yes—
137C22⋊C8×C47C2312yes—
138C24×C47C22×C411yescharacteristic
139C23×D47C22×C411yescharacteristic
140C22×C4×C47—21no—
141C22×C4×C47—21no—
142C22×C4×C47—21no—
143C22×C4×C47—21no—
144C22×C4×C47—22no—
145C22×C4×C47—41no—
146C22×C4×C47—81no—
147C22×C4×C47—81no—
148C22×C4×C47C22×C411yescharacteristic
149C22×C4×C47C22×C411yescharacteristic
150C22×C4×C47C22×C411yescharacteristic
151C22×C4×C47C22×C411yescharacteristic
152C22×C4×C47C22×C411yescharacteristic
153C22×C4×C47C2×D412yes—
154C22×C4×C47C2×D412yes—
155C22×C4×C47C2411yescharacteristic
156C2×C22⋊D47—24no—
157C2×C22⋊D47C22⋊C411yescharacteristic
158C2×C22⋊D47C22⋊C411yescharacteristic
159C2×C22⋊D47C22⋊C411yescharacteristic
160C2×C22⋊D47C22⋊C411yescharacteristic
161C22×Dic47C22×C411yescharacteristic
162C22×Dic47C22×C411yescharacteristic
163C22×Dic47C22×C411yescharacteristic
164C22×Dic47C22×C411yescharacteristic
165C22×Dic47C22×C411yescharacteristic
166C22×Dic47C22×C411yescharacteristic
167C22×Dic47C22×C411yescharacteristic
168C2×C4×D47—21no—
169C2×C4×D47—21no—
170C2×C4×D47—22no—
171C2×C4×D47—21no—
172C2×C4×D47—21no—
173C2×C4×D47—41no—
174C2×C4×D47—81no—
175C2×C4×D47—81no—
176C2×C4×D47C2×D412yes—
177C2×C4×D47C2×D412yes—
178C2×Dic94—22no—
179C2×Dic94—22no—
180C2×Dic94—22no—
181C2×Dic94—22no—
182C2×Dic94—41no—
183C2×Dic94—81no—
184C2×Dic94—81no—
185M16×C47—82no—
186C2×C8×C47—22no—
187C2×C8×C47—22no—
188C4⋊C4×C47—22no—
189C4⋊C4×C47—22no—
190C4⋊C4×C47—22no—
191C4⋊C4×C47—22no—
192C22⋊Dic47—21no—
193C22⋊Dic47—21no—
194C22⋊Dic47—21no—
195C22⋊Dic47—21no—
196C22⋊Dic47C22⋊C412yes—
197C22⋊Dic47C22⋊C412yes—
198(C2×D47)⋊C4—21no—
199(C2×D47)⋊C4—21no—
200(C2×D47)⋊C4—21no—
201(C2×D47)⋊C4—21no—
202(C2×D47)⋊C4C22⋊C412yes—
203(C2×D47)⋊C4C22⋊C412yes—
204C4⋊Dic47—22no—
205C4⋊Dic47—22no—
206C4⋊Dic47—22no—
207Dic47⋊C4—22no—
208Dic47⋊C4—22no—
209Dic47⋊C4—22no—
210Dic47⋊C4—21no—
211Dic47⋊C4—21no—
212Dic47⋊C4—21no—
213Dic47⋊C4—21no—
214Dic47⋊C4—22no—
215Dic47⋊C4—22no—
216Dic47⋊C4—22no—
217Dic47⋊C4C22⋊C412yes—
218Dic47⋊C4C22⋊C412yes—
219C4×Dic47—21no—
220C4×Dic47—21no—
221C4×Dic47—21no—
222C4×Dic47—21no—
223C4×Dic47C2×D412yes—
224C4×Dic47C2×D412yes—
225C2×C47⋊C8—22no—
226C2×C47⋊C8—22no—
227C2×C47⋊C8—82no—
228#10625324—82no—
229C8×D47—82no—
230C23×C47—21no—
231C23×C47—21no—
232C23×C47—22no—
233C23×C47—41no—
234C23×C47C2×C22⋊C411yescharacteristic
235C23×C47C2×C22⋊C411yescharacteristic
236C23×C47C23×C411yescharacteristic
237C22×D47—21no—
238C22×D47—21no—
239C22×D47—22no—
240C22×D47—41no—
241C22×D47C2×C22⋊C411yescharacteristic
242C22×D47C2×C22⋊C411yescharacteristic
243C2×C4×C47—21no—
244C2×C4×C47—21no—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—21no—
250C2×C4×C47—42no—
251C2×C4×C47—42no—
252C2×C4×C47—41no—
253C2×C4×C47—41no—
254C2×C4×C47—42no—
255C2×C4×C47—42no—
256C2×C4×C47—41no—
257C2×C4×C47—41no—
258C2×C4×C47—81no—
259C2×C4×C47—81no—
260C2×C4×C47C2×C22⋊C412yes—
261C2×C4×C47#13112yes—
262C2×C4×C47C22×D412yes—
263C22⋊D47—22no—
264C22⋊D47—22no—
265C22⋊D47—22no—
266C22⋊D47#10114yes—
267C2×Dic47—21no—
268C2×Dic47—21no—
269C2×Dic47—22no—
270C2×Dic47—21no—
271C2×Dic47—21no—
272C2×Dic47—21no—
273C2×Dic47—21no—
274C2×Dic47—21no—
275C2×Dic47—21no—
276C2×Dic47—21no—
277C2×Dic47—21no—
278C2×Dic47—41no—
279C2×Dic47—41no—
280C2×Dic47—41no—
281C2×Dic47C2×C22⋊C411yescharacteristic
282C2×Dic47C2×C22⋊C412yes—
283C2×Dic47C2×C22⋊C412yes—
284C2×Dic47C2×C22⋊C411yescharacteristic
285C4×D47—42no—
286C4×D47—42no—
287C4×D47—42no—
288C4×D47—42no—
289C4×D47—81no—
290C4×D47—81no—
291Dic94—44no—
292Dic94—82no—
293Dic94—82no—
294C8×C47—42no—
295C8×C47—42no—
296C47⋊C8—42no—
297C47⋊C8—42no—
298#17426—471nomaximal, Sylow
299C22×C47—21no—
300C22×C47—21no—
301C22×C47—21no—
302C22×C47—21no—
303C22×C47—21no—
304C22×C47—21no—
305C22×C47—21no—
306C22×C47—42no—
307C22×C47—42no—
308C22×C47C2×#10112yes—
309C22×C47C22×C22⋊C411yescharacteristic
310C22×C47C2×#13111yescharacteristic
311C22×C47#56811yescharacteristic
312C2×D47—21no—
313C2×D47—21no—
314C2×D47—21no—
315C2×D47—21no—
316C2×D47—21no—
317C2×D47—42no—
318C2×D47—42no—
319C2×D47C2×#10112yes—
320C4×C47—22no—
321C4×C47—22no—
322C4×C47—22no—
323C4×C47—41no—
324C4×C47—41no—
325C4×C47—41no—
326Dic47—22no—
327Dic47—22no—
328Dic47—21no—
329Dic47—41no—
330Dic47—41no—
331Dic47—41no—
332Dic47—41no—
333Dic47C2×#10112yes—
334C2×#554—471no—
335#2974—472no—
336#1472—472no—
337#1472—472no—
338#1470—472no—
339#1467—471no—
340#1463—471no—
341#1463D4711yescharacteristic, complemented
342#1461—471no—
343C2×#324—471no—
344C2×#324—471no—
345C2×C47—21no—
346C2×C47—21no—
347C2×C47—22no—
348C2×C47—41no—
349C2×C47#288011yescharacteristic
350C2×C47#288311yescharacteristic
351C2×C47C22×#10111yescharacteristic
352D47—22no—
353D47—41no—
354#554—942no—
355#554—942no—
356#554—942no—
357#554—942no—
358C2×C4⋊Q8—471no—
359C2×#125—471no—
360C2×#125—471no—
361C2×C22⋊Q8—471no—
362C2×C22⋊Q8—471no—
363C2×C22⋊Q8—471no—
364C2×C22⋊Q8—471no—
365C2×C22⋊Q8—471no—
366C2×C22⋊Q8—471no—
367C2×C4×Q8—471no—
368C2×C4×D4—471no—
369C2×C4×D4—471no—
370C2×C4×D4—471no—
371C22×C4⋊C4—471no—
372C22×C4⋊C4C2×D4711yescharacteristic
373#436—942no—
374#435—942no—
375#435—942no—
376C8×D4—942no—
377#432—472no—
378#431—472no—
379#407—472no—
380#407C2×D4712yes—
381C2×C22⋊C8—472no—
382C2×C22⋊C8—472no—
383#324—471no—
384#324—471no—
385#324—472no—
386#324—472no—
387#324—472no—
388#324—472no—
389#324—472no—
390#324C2×D4711yescharacteristic
391#324C2×D4711yescharacteristic
392#324C2×D4712yes—
393C47#1742611yescharacteristic, complemented, Sylow
394C22×Q8—471no—
395C22×Q8—471no—
396C22×Q8—471no—
397C22×D4—471no—
398C23×C4—471no—
399C23×C4—471no—
400C23×C4—471no—
401C23×C4C4×D4711yescharacteristic
402C23×C4C4×D4711yescharacteristic
403C23×C4C22×D4711yescharacteristic
404C2×M16—22no—
405C2×M16—942no—
406C22×C8—942no—
407C22×C8—942no—
408C4⋊Q8—942no—
409C4⋊Q8—942no—
410#125—942no—
411#125—942no—
412#125—942no—
413#125—942no—
414C22⋊Q8—942no—
415C22⋊Q8—942no—
416C22⋊Q8—942no—
417C22⋊Q8—942no—
418C22⋊Q8—942no—
419C22⋊Q8—942no—
420C22⋊Q8—942no—
421C22⋊Q8—942no—
422C22⋊Q8—942no—
423C22⋊Q8—942no—
424C22⋊Q8—942no—
425C22⋊Q8—942no—
426C4×Q8—942no—
427C4×Q8—942no—
428C4×D4—472no—
429C4×D4—472no—
430C4×D4—472no—
431C4×D4—472no—
432C4×D4—941no—
433C4×D4—941no—
434C4×D4—941no—
435C4×D4—941no—
436C4×D4—941no—
437C4×D4—941no—
438C4×D4—941no—
439C4×D4—941no—
440C2×C4⋊C4—22no—
441C2×C4⋊C4—22no—
442C2×C4⋊C4—471no—
443C2×C4⋊C4—471no—
444C2×C4⋊C4—471no—
445C2×C4⋊C4—471no—
446C2×C4⋊C4—471no—
447C2×C4⋊C4—471no—
448C2×C4⋊C4—471no—
449C2×C4⋊C4—471no—
450C2×C4⋊C4—471no—
451C2×C4⋊C4—471no—
452C2×C4⋊C4—471no—
453C2×C4⋊C4—471no—
454C2×C4⋊C4—942no—
455C2×C4⋊C4—942no—
456C2×C4⋊C4C4×D4711yescharacteristic
457C2×C4⋊C4C4×D4711yescharacteristic
458C2×C4⋊C4C22×D4711yescharacteristic
459C2×C4⋊C4C22×D4711yescharacteristic
460C2×C22⋊C4—471no—
461C2×C22⋊C4—471no—
462C2×C22⋊C4—471no—
463C2×C22⋊C4—471no—
464C2×C22⋊C4—471no—
465C2×C22⋊C4—471no—
466C2×C42—471no—
467C2×C42—471no—
468C2×C42—471no—
469C4⋊C8—942no—
470C4⋊C8—942no—
471C22⋊C8—22no—
472C22⋊C8—472no—
473C22⋊C8—472no—
474C22⋊C8—942no—
475C22⋊C8—942no—
476C22⋊C8—942no—
477C22⋊C8C22×D4712yes—
478C22⋊C8C22×D4712yes—
479#97—942no—
480C4×C8—942no—
481C24—471no—
482C24C2×C4×D4711yescharacteristic
483C2×Q8—942no—
484C2×Q8—942no—
485C2×Q8—942no—
486C2×Q8—942no—
487C2×Q8—3761no—
488C2×Q8—3761no—
489C2×Q8—1881no—
490C2×D4—471no—
491C2×D4—471no—
492C2×D4—471no—
493C2×D4—471no—
494C2×D4—944no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—41no—
501C22×C4—81no—
502C22×C4—81no—
503C22×C4—471no—
504C22×C4—471no—
505C22×C4—471no—
506C22×C4—472no—
507C22×C4—472no—
508C22×C4—471no—
509C22×C4—471no—
510C22×C4—471no—
511C22×C4—471no—
512C22×C4—941no—
513C22×C4—941no—
514C22×C4—941no—
515C22×C4—941no—
516C22×C4—942no—
517C22×C4—3761no—
518C22×C4—3761no—
519C22×C4—1881no—
520C22×C4C2×C4×D4711yescharacteristic
521C22×C4C2×C4×D4711yescharacteristic
522C22×C4C2×C4×D4711yescharacteristic
523C22×C4C2×C4×D4711yescharacteristic
524C22×C4C2×C4×D4711yescharacteristic
525C22×C4D4×D4712yes—
526C22×C4D4×D4712yes—
527C22×C4C23×D4711yescharacteristic
528M16—82no—
529M16—3762no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—942no—
533C2×C8—942no—
534C2×C8—3762no—
535C2×C8—3762no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—472no—
541C4⋊C4—472no—
542C4⋊C4—942no—
543C4⋊C4—941no—
544C4⋊C4—941no—
545C4⋊C4—941no—
546C4⋊C4—941no—
547C4⋊C4—942no—
548C4⋊C4—942no—
549C4⋊C4—942no—
550C4⋊C4—942no—
551C4⋊C4—942no—
552C4⋊C4—942no—
553C4⋊C4—942no—
554C4⋊C4—942no—
555C22⋊C4—472no—
556C22⋊C4—472no—
557C22⋊C4—472no—
558C22⋊C4—472no—
559C22⋊C4—941no—
560C22⋊C4—941no—
561C22⋊C4—941no—
562C22⋊C4—941no—
563C22⋊C4—941no—
564C22⋊C4—941no—
565C22⋊C4—941no—
566C22⋊C4—941no—
567C42—472no—
568C42—472no—
569C42—941no—
570C42—941no—
571C42—941no—
572C42—941no—
573C23—22no—
574C23—21no—
575C23—21no—
576C23—41no—
577C23—471no—
578C23—471no—
579C23—942no—
580C23—941no—
581C23—941no—
582C23—1881no—
583C23C22⋊C4×D4711yescharacteristic
584C23C22⋊C4×D4711yescharacteristic
585C23C22×C4×D4711yescharacteristic
586Q8—3762no—
587Q8—3762no—
588Q8—1884no—
589D4—474no—
590D4—942no—
591D4—942no—
592D4—942no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—81no—
609C2×C4—81no—
610C2×C4—471no—
611C2×C4—471no—
612C2×C4—472no—
613C2×C4—472no—
614C2×C4—942no—
615C2×C4—941no—
616C2×C4—941no—
617C2×C4—941no—
618C2×C4—941no—
619C2×C4—941no—
620C2×C4—941no—
621C2×C4—941no—
622C2×C4—941no—
623C2×C4—941no—
624C2×C4—941no—
625C2×C4—3761no—
626C2×C4—3761no—
627C2×C4—1882no—
628C2×C4—1882no—
629C2×C4—1882no—
630C2×C4—1882no—
631C2×C4—1881no—
632C2×C4—1881no—
633C2×C4—1881no—
634C2×C4C22⋊C4×D4712yes—
635C2×C4#1309403212yes—
636C2×C4C2×D4×D4712yes—
637C8—42no—
638C8—42no—
639C8—1882no—
640C8—1882no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—21no—
647C22—21no—
648C22—42no—
649C22—42no—
650C22—472no—
651C22—941no—
652C22—941no—
653C22—941no—
654C22—941no—
655C22—941no—
656C22—1882no—
657C22—1882no—
658C22#101×D4712yes—
659C22C2×C22⋊C4×D4711yescharacteristic
660C22C2×#1309403211yescharacteristic
661C22#1568988911yescharacteristic
662C4—22no—
663C4—22no—
664C4—22no—
665C4—41no—
666C4—41no—
667C4—41no—
668C4—472no—
669C4—942no—
670C4—942no—
671C4—941no—
672C4—1881no—
673C4—1881no—
674C4—1881no—
675C4—1881no—
676C2—21no—
677C2—21no—
678C2—22no—
679C2—41no—
680C2—942no—
681C2—1881no—
682C2#2025183811yescharacteristic
683C2#2025184611yescharacteristic
684C2C2×#101×D4711yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D47
commutatorC23×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#1463C2
socleC22×C47C22×C22⋊C4
prime radicalC22×C22⋊D47C2×C4
cosocleC22×C4×C47C24
hypercenter#1463D47
hypocenterC47#17426
LCSG ▷ C23×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1463

Complements

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

NH ≅ G/Ntype
3. #20241753C2semidirect
4. #20241750C2semidirect
5. #20241742C2semidirect
6. #20241730C2semidirect
7. #20241716C2semidirect
8. #20241710C2semidirect
9. C2×#15688849C2semidirect
10. #324×D47C2semidirect
11. C47×#1463C2semidirect
341. #1463D47semidirect
393. C47#17426semidirect

Maximal subgroups

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

subgroupindex
C2×#156898282
#202524242
#202417532
#202417502
#202417422
#202417302
#202417162
#202417102
C2×#156888492
#324×D472
C47×#14632
#1742647