Finite Group Databasebeta

← #28593298

Subgroups — #28593298

Order 15104.

1134 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×#16838029C211yesmaximal, characteristic
2C2×#16837359C211yesmaximal, characteristic
3#21426721C211yesmaximal, characteristic
4#21425067C211yesmaximal, characteristic, complemented
5#21425065C211yesmaximal, characteristic, complemented
6#21425063C211yesmaximal, characteristic, complemented
7#21425060C211yesmaximal, characteristic, complemented
8#21425059C211yesmaximal, characteristic, complemented
9#21425058C211yesmaximal, characteristic, complemented
10#21425055C211yesmaximal, characteristic, complemented
11#21423814C211yesmaximal, characteristic
12#21423814C211yesmaximal, characteristic
13#21423811C211yesmaximal, characteristic
14#340×D59C211yesmaximal, characteristic
15C59×#1993C211yesmaximal, characteristic, complemented
16C22×#11745659C2211yescharacteristic
17C22×C8×D59C2211yescharacteristic
18#16838029—24no—
19#16838029C418yescomplemented
20C2×#14273726C2211yescharacteristic
21C2×#14273725—21no—
22C2×#14273719C2211yescharacteristic
23C2×#14273718C2211yescharacteristic
24C2×#14273717—21no—
25C2×#14273705—21no—
26C2×#14273703—21no—
27C2×#14273685C2211yescharacteristic
28C2×#14273685C2211yescharacteristic
29C2×#14273684C2211yescharacteristic
30C2×C4⋊C4×D59C2211yescharacteristic
31C2×C4⋊C4×D59C2211yescharacteristic
32#16837359—24no—
33C2×#14273637C2211yescharacteristic
34C2×C4×C59⋊C8C2211yescharacteristic
35C2×C8×Dic59C2211yescharacteristic
36#16837299—21no—
37#16837299—21no—
38#16837276—21no—
39#16837276—21no—
40#16837272C2211yescharacteristic
41#16837271C2211yescharacteristic
42#16837267C2211yescharacteristic
43#16837165C2211yescharacteristic
44#16837165C2211yescharacteristic
45#16837165C2211yescharacteristic
46#16837165C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50#16837164C2211yescharacteristic
51#16837164C2211yescharacteristic
52#16837164C2211yescharacteristic
53#16837164C2211yescharacteristic
54#16837164C2211yescharacteristic
55C2×C4⋊Q8×C59C2211yescharacteristic
56C2×#97×C59C2211yescharacteristic
57C59×#382C2211yescharacteristic
58C59×#340C2211yescharacteristic
59C59×#340C2211yescharacteristic
60C59×#340C2211yescharacteristic
61C59×#340C2211yescharacteristic
62C22×Dic118—21no—
63C22×C4×D59—21no—
64C22×C4×D59—21no—
65C22×C4×D59C2311yescharacteristic
66C2×#11745659—22no—
67C2×#11745659—22no—
68C2×#11745659Q814yescomplemented
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71C2×C8×D59—22no—
72C2×C8×D59—22no—
73C2×C8×D59Q814yescomplemented
74#14273726—22no—
75#14273726C2×C414yescomplemented
76#14273725—28no—
77#14273719—22no—
78#14273719C2×C414yescomplemented
79#14273718—22no—
80#14273718C2×C414yescomplemented
81#14273717—28no—
82#14273705—28no—
83#14273703—28no—
84#14273685—22no—
85#14273685—22no—
86#14273685—22no—
87#14273685C2×C414yes—
88#14273684C2×C414yes—
89#14273684D414yes—
90C2×C4⋊Dic59—21no—
91C2×C4⋊Dic59—21no—
92C2×C4⋊Dic59—21no—
93C2×C4⋊Dic59C2311yescharacteristic
94C2×C4⋊Dic59C2311yescharacteristic
95C2×C4⋊Dic59C2311yescharacteristic
96C2×C4⋊Dic59C2311yescharacteristic
97C2×Dic59⋊C4—21no—
98C2×Dic59⋊C4—21no—
99C2×Dic59⋊C4—21no—
100C2×Dic59⋊C4—21no—
101C2×Dic59⋊C4—21no—
102C2×Dic59⋊C4—21no—
103C2×Dic59⋊C4—21no—
104C2×Dic59⋊C4—21no—
105C2×Dic59⋊C4D411yescharacteristic
106C2×Dic59⋊C4D411yescharacteristic
107C4⋊C4×D59—22no—
108C4⋊C4×D59—22no—
109C4⋊C4×D59—22no—
110C4⋊C4×D59C2×C414yes—
111C2×(C2×D59)⋊C4—21no—
112C2×(C2×D59)⋊C4—21no—
113C2×(C2×D59)⋊C4D411yescharacteristic
114C2×(C2×D59)⋊C4D411yescharacteristic
115C2×C4×Dic59—21no—
116C2×C4×Dic59—21no—
117C2×C4×Dic59C2311yescharacteristic
118#14273637—22no—
119C4×C59⋊C8—22no—
120C8×Dic59—22no—
121C59⋊#95—21no—
122C59⋊#95—21no—
123C22×Q8×C59—21no—
124C22×C8×C59C2311yescharacteristic
125C22×C8×C59C2311yescharacteristic
126C4⋊Q8×C59—22no—
127C4⋊Q8×C59C2×C414yescomplemented
128C2×C4⋊C4×C59—21no—
129C2×C4⋊C4×C59C2311yescharacteristic
130C2×C4⋊C4×C59C2311yescharacteristic
131C2×C4⋊C4×C59C2311yescharacteristic
132C2×C4⋊C4×C59C2311yescharacteristic
133C2×C42×C59C2311yescharacteristic
134#97×C59—22no—
135#95×C59—21no—
136#95×C59—21no—
137C23×D59C2×D411yescharacteristic
138C2×Q8×C59—24no—
139C2×Q8×C59—81no—
140C2×Q8×C59—81no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—21no—
145C22×C4×C59C2×D411yescharacteristic
146C22×C4×C59C2×D411yescharacteristic
147C22×C4×C59C2411yescharacteristic
148C22×Dic59—21no—
149C22×Dic59—21no—
150C22×Dic59—21no—
151C22×Dic59—21no—
152C22×Dic59C2×D411yescharacteristic
153C22×Dic59C2×D411yescharacteristic
154C22×Dic59C2×D411yescharacteristic
155C2×C4×D59—24no—
156C2×C4×D59—42no—
157C2×C4×D59—81no—
158C2×C4×D59—81no—
159C2×C4×D59—81no—
160C2×C4×D59—81no—
161C2×C4×D59C22×C412yes—
162C2×C4×D59C2×D412yes—
163C2×C4×D59C2×Q812yes—
164C2×C4×D59C2×Q812yes—
165C2×C4×D59#4112yes—
166C2×C4×D59#4112yes—
167C2×Dic118—24no—
168C2×Dic118—81no—
169C2×Dic118—81no—
170C2×C8×C59—21no—
171C2×C8×C59—21no—
172C2×C8×C59—21no—
173C2×C8×C59—21no—
174C2×C8×C59C2×Q812yes—
175C2×C8×C59C2×Q812yes—
176C4⋊C4×C59—24no—
177C4⋊C4×C59—21no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59C22×C412yes—
184C4⋊C4×C59C22×C412yes—
185C42×C59C22×C412yes—
186C42×C59C2×D412yes—
187(C2×D59)⋊C4—24no—
188(C2×D59)⋊C4—42no—
189(C2×D59)⋊C4C22⋊C414yes—
190(C2×D59)⋊C4C22⋊C414yes—
191C4⋊Dic59—21no—
192C4⋊Dic59—21no—
193C4⋊Dic59—24no—
194C4⋊Dic59—21no—
195C4⋊Dic59—21no—
196C4⋊Dic59—21no—
197C4⋊Dic59—21no—
198C4⋊Dic59—81no—
199C4⋊Dic59—81no—
200C4⋊Dic59C22×C412yes—
201C4⋊Dic59C22×C412yes—
202Dic59⋊C4—24no—
203Dic59⋊C4—24no—
204Dic59⋊C4—24no—
205Dic59⋊C4—24no—
206Dic59⋊C4—24no—
207Dic59⋊C4—42no—
208Dic59⋊C4—81no—
209Dic59⋊C4—81no—
210Dic59⋊C4C22⋊C414yes—
211Dic59⋊C4C22⋊C414yes—
212C4×Dic59—24no—
213C4×Dic59—42no—
214C4×Dic59C22×C412yes—
215C4×Dic59C2×D412yes—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8C2×Q812yes—
221C2×C59⋊C8C2×Q812yes—
222#11745659—28no—
223C8×D59—28no—
224C23×C59C22×D411yescharacteristic
225C22×D59—21no—
226C22×D59—21no—
227C22×D59—21no—
228C22×D59—21no—
229C22×D59C2×C22⋊C412yes—
230C22×D59#12412yes—
231C22×D59C4⋊Q812yes—
232Q8×C59—84no—
233C2×C4×C59—21no—
234C2×C4×C59—21no—
235C2×C4×C59—21no—
236C2×C4×C59—21no—
237C2×C4×C59—22no—
238C2×C4×C59—22no—
239C2×C4×C59—41no—
240C2×C4×C59—41no—
241C2×C4×C59—41no—
242C2×C4×C59—41no—
243C2×C4×C59—41no—
244C2×C4×C59—41no—
245C2×C4×C59—41no—
246C2×C4×C59—41no—
247C2×C4×C59—41no—
248C2×C4×C59—41no—
249C2×C4×C59C2×C22⋊C412yes—
250C2×C4×C59C2×C22⋊C412yes—
251C2×C4×C59C23×C411yescharacteristic
252C2×C4×C59C22×D411yescharacteristic
253C2×C4×C59C22×Q811yescharacteristic
254C2×C4×C59C22×Q811yescharacteristic
255C2×C4×C59C2×#4111yescharacteristic
256C2×C4×C59C2×#4111yescharacteristic
257C2×Dic59—21no—
258C2×Dic59—21no—
259C2×Dic59—21no—
260C2×Dic59—21no—
261C2×Dic59—22no—
262C2×Dic59—22no—
263C2×Dic59—41no—
264C2×Dic59—41no—
265C2×Dic59—41no—
266C2×Dic59—41no—
267C2×Dic59—41no—
268C2×Dic59—41no—
269C2×Dic59—41no—
270C2×Dic59—41no—
271C2×Dic59—41no—
272C2×Dic59—41no—
273C2×Dic59C2×C22⋊C412yes—
274C2×Dic59C2×C22⋊C412yes—
275C2×Dic59C2×C22⋊C412yes—
276C2×Dic59#12412yes—
277C2×Dic59C4⋊Q812yes—
278C4×D59—84no—
279C4×D59—84no—
280C4×D59C4×Q814yes—
281C4×D59C4×Q814yes—
282C4×D59C22⋊Q814yes—
283C4×D59C22⋊Q814yes—
284Dic118—84no—
285C8×C59—22no—
286C8×C59—22no—
287C59⋊C8—22no—
288C59⋊C8—22no—
289#21326—591nomaximal, Sylow
290C22×C59C22×C22⋊C411yescharacteristic
291C22×C59C2×#12411yescharacteristic
292C22×C59C2×C4⋊Q811yescharacteristic
293C22×C59#57611yescharacteristic
294C22×C59#57711yescharacteristic
295C22×C59#57711yescharacteristic
296C22×C59#57811yescharacteristic
297C2×D59—22no—
298C2×D59—22no—
299C2×D59—22no—
300C2×D59—22no—
301C2×D59—22no—
302C2×D59—22no—
303C2×D59#39114yes—
304C4×C59—22no—
305C4×C59—22no—
306C4×C59—42no—
307C4×C59—42no—
308C4×C59—81no—
309C4×C59—81no—
310C4×C59C2×C4×Q811yescharacteristic
311C4×C59C2×C4×Q811yescharacteristic
312C4×C59C2×C22⋊Q811yescharacteristic
313C4×C59C2×C22⋊Q811yescharacteristic
314Dic59—22no—
315Dic59—22no—
316Dic59—42no—
317Dic59—42no—
318Dic59—81no—
319Dic59—81no—
320Dic59#39114yes—
321C2×#544—591no—
322C2×#405—591no—
323#2317—591no—
324#1993—591no—
325#1993D5911yescharacteristic, complemented
326#1992—591no—
327#1992—591no—
328#1991—591no—
329#1991—591no—
330#1990—591no—
331#1990—591no—
332#1736—591no—
333#1736—591no—
334#1735—591no—
335C2×#340—591no—
336C2×C59C2×#39111yescharacteristic
337C2×C59#289711yescharacteristic
338C2×C59#289811yescharacteristic
339C2×C59#313611yescharacteristic
340C2×C59#313711yescharacteristic
341C2×C59#316311yescharacteristic
342C2×C59#316411yescharacteristic
343D59—24no—
344C22×M16—591no—
345C23×C8—591no—
346#544—598no—
347#544—1184no—
348C2×C4⋊Q8—591no—
349C2×C4⋊Q8—1181no—
350C2×C4⋊Q8C2×D5911yescharacteristic
351C2×#125—591no—
352C2×#125—591no—
353C2×#125—1181no—
354C2×C22⋊Q8—1181no—
355C2×C22⋊Q8—1181no—
356C2×#117—591no—
357C2×#117—591no—
358C2×#117—591no—
359C22×C4⋊C4—591no—
360C22×C4⋊C4—591no—
361#405—1184no—
362C2×#97—591no—
363C2×#97C2×D5911yescharacteristic
364C2×C4×C8—591no—
365C2×C4×C8—591no—
366#389—1181no—
367#389—1181no—
368#385—1181no—
369#385—1181no—
370#384—591no—
371#384—591no—
372#382—591no—
373#382C2×D5911yescharacteristic
374#340—591no—
375#340—591no—
376#340—591no—
377#340—591no—
378#340—591no—
379#340—591no—
380#340—591no—
381#340—591no—
382#340—591no—
383#340—591no—
384#340—591no—
385#340—591no—
386#340C2×D5911yescharacteristic
387#340C2×D5911yescharacteristic
388#340C2×D5911yescharacteristic
389#340C2×D5911yescharacteristic
390C59#2132611yescharacteristic, complemented, Sylow
391C22×Q8—21no—
392C22×Q8—1181no—
393C23×C4—591no—
394C23×C4—1181no—
395C23×C4—1181no—
396C2×M16—594no—
397C2×M16—1182no—
398C2×M16—1182no—
399C22×C8—591no—
400C22×C8—591no—
401C22×C8—594no—
402C22×C8—1182no—
403C22×C8—1182no—
404C22×C8C22×D5911yescharacteristic
405C22×C8C22×D5911yescharacteristic
406C4⋊Q8—22no—
407C4⋊Q8—594no—
408C4⋊Q8—1182no—
409C4⋊Q8—1188no—
410C4⋊Q8C4×D5914yescomplemented
411#125—594no—
412#125—594no—
413#125—1182no—
414#125—1188no—
415#125—1182no—
416C22⋊Q8—1188no—
417C22⋊Q8—1188no—
418#117—594no—
419#117—594no—
420#117—594no—
421#117—1182no—
422#117—1182no—
423#117—1182no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—591no—
426C2×C4⋊C4—591no—
427C2×C4⋊C4—591no—
428C2×C4⋊C4—591no—
429C2×C4⋊C4—594no—
430C2×C4⋊C4—591no—
431C2×C4⋊C4—591no—
432C2×C4⋊C4—1182no—
433C2×C4⋊C4—1182no—
434C2×C4⋊C4—1182no—
435C2×C4⋊C4—1181no—
436C2×C4⋊C4—1181no—
437C2×C4⋊C4—1181no—
438C2×C4⋊C4—1181no—
439C2×C4⋊C4—1181no—
440C2×C4⋊C4—1181no—
441C2×C4⋊C4—1181no—
442C2×C4⋊C4—1181no—
443C2×C4⋊C4—1181no—
444C2×C4⋊C4—1181no—
445C2×C4⋊C4—1181no—
446C2×C4⋊C4C22×D5911yescharacteristic
447C2×C4⋊C4C22×D5911yescharacteristic
448C2×C4⋊C4C22×D5911yescharacteristic
449C2×C4⋊C4C22×D5911yescharacteristic
450C2×C22⋊C4—591no—
451C2×C22⋊C4—591no—
452C2×C22⋊C4—1181no—
453C2×C22⋊C4—1181no—
454C2×C42—591no—
455C2×C42—1181no—
456C2×C42—1181no—
457C2×C42C22×D5911yescharacteristic
458#97—22no—
459#97—1182no—
460C4×C8—1182no—
461C4×C8—1182no—
462#95—21no—
463#95—21no—
464#95—1181no—
465#95—1181no—
466C24—591no—
467C2×Q8—24no—
468C2×Q8—81no—
469C2×Q8—81no—
470C2×Q8—1184no—
471C2×Q8—4721no—
472C2×Q8—4721no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—591no—
478C22×C4—592no—
479C22×C4—592no—
480C22×C4—592no—
481C22×C4—592no—
482C22×C4—592no—
483C22×C4—592no—
484C22×C4—591no—
485C22×C4—591no—
486C22×C4—1184no—
487C22×C4—1181no—
488C22×C4—1181no—
489C22×C4—1181no—
490C22×C4—1181no—
491C22×C4—4721no—
492C22×C4—4721no—
493C22×C4—4721no—
494C22×C4—4721no—
495C22×C4—2362no—
496C22×C4D4×D5911yescharacteristic
497C22×C4D4×D5911yescharacteristic
498C22×C4C23×D5911yescharacteristic
499M16—1188no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—592no—
505C2×C8—592no—
506C2×C8—1188no—
507C2×C8—1181no—
508C2×C8—1181no—
509C2×C8—1181no—
510C2×C8—1181no—
511C2×C8Q8×D5912yes—
512C2×C8Q8×D5912yes—
513C4⋊C4—24no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—594no—
521C4⋊C4—594no—
522C4⋊C4—592no—
523C4⋊C4—592no—
524C4⋊C4—1184no—
525C4⋊C4—1184no—
526C4⋊C4—1184no—
527C4⋊C4—1184no—
528C4⋊C4—1184no—
529C4⋊C4—1184no—
530C4⋊C4—1181no—
531C4⋊C4—1181no—
532C4⋊C4—1181no—
533C4⋊C4—1181no—
534C4⋊C4—1181no—
535C4⋊C4—1181no—
536C4⋊C4—4721no—
537C4⋊C4—4721no—
538C4⋊C4—4721no—
539C4⋊C4—4721no—
540C4⋊C4—2362no—
541C4⋊C4C2×C4×D5912yes—
542C4⋊C4C2×C4×D5912yes—
543C22⋊C4—594no—
544C22⋊C4—594no—
545C22⋊C4—1184no—
546C22⋊C4—2362no—
547C42—592no—
548C42—592no—
549C42—1184no—
550C42—2362no—
551C42C2×C4×D5912yes—
552C42D4×D5912yes—
553C23—592no—
554C23—592no—
555C23—592no—
556C23—1181no—
557C23—1181no—
558C23—1181no—
559C23—1181no—
560C23C2×D4×D5911yescharacteristic
561Q8—84no—
562Q8—4724no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—592no—
580C2×C4—592no—
581C2×C4—592no—
582C2×C4—594no—
583C2×C4—594no—
584C2×C4—594no—
585C2×C4—594no—
586C2×C4—592no—
587C2×C4—592no—
588C2×C4—1181no—
589C2×C4—1181no—
590C2×C4—1181no—
591C2×C4—1181no—
592C2×C4—1182no—
593C2×C4—1182no—
594C2×C4—4724no—
595C2×C4—4724no—
596C2×C4—2361no—
597C2×C4—2361no—
598C2×C4—2361no—
599C2×C4—2361no—
600C2×C4—2361no—
601C2×C4—2361no—
602C2×C4—2361no—
603C2×C4—2361no—
604C2×C4—2361no—
605C2×C4—2361no—
606C2×C4C22⋊C4×D5912yes—
607C2×C4C22⋊C4×D5912yes—
608C2×C4C22×C4×D5911yescharacteristic
609C2×C4C2×D4×D5911yescharacteristic
610C2×C4C2×Q8×D5911yescharacteristic
611C2×C4C2×Q8×D5911yescharacteristic
612C2×C4#41×D5911yescharacteristic
613C2×C4#41×D5911yescharacteristic
614C8—22no—
615C8—22no—
616C8—1182no—
617C8—1182no—
618C22—594no—
619C22—1182no—
620C22—1182no—
621C22—1182no—
622C22—1182no—
623C22—1182no—
624C22—1182no—
625C22C2×C22⋊C4×D5911yescharacteristic
626C22#124×D5911yescharacteristic
627C22C4⋊Q8×D5911yescharacteristic
628C22#1683820611yescharacteristic
629C22#1683821111yescharacteristic
630C22#1683821211yescharacteristic
631C22#1683821811yescharacteristic
632C4—22no—
633C4—22no—
634C4—42no—
635C4—42no—
636C4—81no—
637C4—81no—
638C4—594no—
639C4—1182no—
640C4—1182no—
641C4—4721no—
642C4—4721no—
643C4—2362no—
644C4—2362no—
645C4C4×Q8×D5911yescharacteristic
646C4C4×Q8×D5911yescharacteristic
647C4C22⋊Q8×D5911yescharacteristic
648C4C22⋊Q8×D5911yescharacteristic
649C2—1184no—
650C2#391×D5911yescharacteristic
651C2#2143262111yescharacteristic
652C2#2143262811yescharacteristic
653C2#2143444711yescharacteristic
654C2#2143445811yescharacteristic
655C2#2143462311yescharacteristic
656C2#2143463111yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1993C2
socleC23×C59C22×D4
prime radicalC23×D59C2×D4
cosocleC22×C4×C59C24
hypercenter#1993D59
hypocenterC59#21326
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1993

Complements

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

NH ≅ G/Ntype
4. #21425067C2semidirect
5. #21425065C2semidirect
6. #21425063C2semidirect
7. #21425060C2semidirect
8. #21425059C2semidirect
9. #21425058C2semidirect
10. #21425055C2semidirect
15. C59×#1993C2semidirect
19. #16838029C4semidirect
68. C2×#11745659Q8semidirect
73. C2×C8×D59Q8semidirect
75. #14273726C2×C4semidirect
78. #14273719C2×C4semidirect
80. #14273718C2×C4semidirect
127. C4⋊Q8×C59C2×C4semidirect
325. #1993D59semidirect
390. C59#21326semidirect
410. C4⋊Q8C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168380292
C2×#168373592
#214267212
#214250672
#214250652
#214250632
#214250602
#214250592
#214250582
#214250552
#214238142
#214238112
#340×D592
C59×#19932
#2132659