Finite Group Databasebeta

← #28606892

Subgroups — #28606892

Order 15104.

970 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837473C211yesmaximal, characteristic
2C2×#16837441C211yesmaximal, characteristic, complemented
3C2×#16837440C211yesmaximal, characteristic, complemented
4#21427040C211yesmaximal, characteristic
5#21427018C211yesmaximal, characteristic
6#21424863C211yesmaximal, characteristic, complemented
7#21424858C211yesmaximal, characteristic, complemented
8#21424296C211yesmaximal, characteristic, complemented
9#21424293C211yesmaximal, characteristic, complemented
10#21424293C211yesmaximal, characteristic, complemented
11#21424290C211yesmaximal, characteristic, complemented
12#21424261C211yesmaximal, characteristic, complemented
13#21424126C211yesmaximal, characteristic, complemented
14#21423996C211yesmaximal, characteristic, complemented
15C59×#1807C211yesmaximal, characteristic, complemented
16C22×#11745659C2211yescharacteristic
17C2×C4×C22⋊D59C2211yescharacteristic
18C2×#14273686C2211yescharacteristic
19C2×#14273686C2211yescharacteristic
20C2×#14273685C2211yescharacteristic
21C2×C4⋊C4×D59C2211yescharacteristic
22#16837473C418yescomplemented
23#16837441—24no—
24#16837440—24no—
25C2×#14273661C2211yescharacteristic
26C2×#14273661C2211yescharacteristic
27C2×#14273660C2211yescharacteristic
28C2×#14273660C2211yescharacteristic
29C2×#14273659C2211yescharacteristic
30C2×#14273659C2211yescharacteristic
31C2×#14273658C2211yescharacteristic
32C2×#14273658C2211yescharacteristic
33C2×Dic59⋊C8C2211yescharacteristic
34C2×C22⋊(C59⋊C8)C2211yescharacteristic
35C2×(C2×D59)⋊C8C2211yescharacteristic
36C2×#14273637C2211yescharacteristic
37#16837302—21no—
38#16837296—21no—
39#16837291—21no—
40#16837290—21no—
41#16837284—21no—
42#16837278—21no—
43#16837271C2211yescharacteristic
44#16837267C2211yescharacteristic
45#16837259C2211yescharacteristic
46#16837259C2211yescharacteristic
47C4⋊C4×Dic59C2211yescharacteristic
48C4⋊C4×Dic59C2211yescharacteristic
49#16837253—21no—
50#16837249—21no—
51#16837164C2211yescharacteristic
52#16837164C2211yescharacteristic
53#16837164C2211yescharacteristic
54#16837164C2211yescharacteristic
55C23×C8×C59C2211yescharacteristic
56C2×#106×C59C2211yescharacteristic
57C2×#106×C59C2211yescharacteristic
58C59×#380C2211yescharacteristic
59C59×#380C2211yescharacteristic
60C59×#340C2211yescharacteristic
61C59×#340C2211yescharacteristic
62C22×C22⋊D59D411yescharacteristic
63C22×C4×D59—21no—
64C22×C4×D59C2311yescharacteristic
65C2×#11745659—22no—
66C2×#11745659—22no—
67C2×#11745659C2×C414yes—
68C22×C59⋊C8C2311yescharacteristic
69C22×C59⋊C8C2311yescharacteristic
70C4×C22⋊D59C2×C414yes—
71C4×C22⋊D59Q814yes—
72#14273686—22no—
73#14273686—22no—
74#14273686—41no—
75#14273686—41no—
76#14273685—22no—
77#14273685—41no—
78C2×C4⋊Dic59C2311yescharacteristic
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×Dic59⋊C4—21no—
83C2×Dic59⋊C4—21no—
84C2×Dic59⋊C4—21no—
85C2×Dic59⋊C4D411yescharacteristic
86C4⋊C4×D59—22no—
87C4⋊C4×D59—41no—
88C2×C22⋊Dic59—21no—
89C2×C22⋊Dic59—21no—
90C2×C22⋊Dic59D411yescharacteristic
91C2×(C2×D59)⋊C4—21no—
92C2×(C2×D59)⋊C4—21no—
93C2×(C2×D59)⋊C4—21no—
94C2×(C2×D59)⋊C4D411yescharacteristic
95C2×C4×Dic59—21no—
96C2×C4×Dic59—21no—
97C2×C4×Dic59—21no—
98C2×C4×Dic59—21no—
99C2×C4×Dic59—21no—
100C2×C4×Dic59C2311yescharacteristic
101#14273661—22no—
102#14273661D414yescomplemented
103#14273660—22no—
104#14273660—41no—
105#14273659—22no—
106#14273659—22no—
107#14273658—22no—
108#14273658—41no—
109Dic59⋊C8C2×C414yescomplemented
110C22⋊(C59⋊C8)C2×C414yescomplemented
111(C2×D59)⋊C8C2×C414yes—
112#14273637C2×C414yescomplemented
113C59⋊#95—21no—
114C59⋊#95—21no—
115C59⋊#95—21no—
116C59⋊#95—21no—
117C59⋊#95—21no—
118C59⋊#95—21no—
119C23×C4×C59C2311yescharacteristic
120C22×C8×C59—22no—
121C22×C8×C59—22no—
122C22×C8×C59C2×C414yescomplemented
123C22×C8×C59C2311yescharacteristic
124C22×C8×C59C2311yescharacteristic
125C2×C4⋊C4×C59C2311yescharacteristic
126C2×C4⋊C4×C59C2311yescharacteristic
127C2×C4⋊C4×C59C2311yescharacteristic
128C2×C4⋊C4×C59C2311yescharacteristic
129C2×C22⋊C4×C59—21no—
130C2×C22⋊C4×C59—21no—
131#106×C59—22no—
132#106×C59—22no—
133#95×C59—21no—
134#95×C59—21no—
135C24×C59C2×D411yescharacteristic
136C23×D59C2×D411yescharacteristic
137C22×C4×C59—21no—
138C22×C4×C59—21no—
139C22×C4×C59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—21no—
145C22×C4×C59C22×C412yes—
146C22×C4×C59C2×D411yescharacteristic
147C22×C4×C59C2×Q812yes—
148C22×C4×C59C2411yescharacteristic
149C2×C22⋊D59—41no—
150C2×C22⋊D59—41no—
151C2×C22⋊D59C4⋊C414yes—
152C22×Dic59—21no—
153C22×Dic59—21no—
154C22×Dic59—21no—
155C22×Dic59—21no—
156C22×Dic59C2×D411yescharacteristic
157C22×Dic59C2×D411yescharacteristic
158C22×Dic59C2×D411yescharacteristic
159C2×C4×D59—21no—
160C2×C4×D59—21no—
161C2×C4×D59—21no—
162C2×C4×D59—21no—
163C2×C4×D59—42no—
164C2×C4×D59—42no—
165C2×C4×D59—81no—
166C2×C4×D59C22×C412yes—
167C2×C4×D59C2×Q812yes—
168C2×C8×C59—21no—
169C2×C8×C59—21no—
170C2×C8×C59—28no—
171C2×C8×C59C22×C412yes—
172C2×C8×C59C22×C412yes—
173C2×C8×C59C2×D412yes—
174C2×C8×C59#4112yes—
175C4⋊C4×C59—21no—
176C4⋊C4×C59—21no—
177C4⋊C4×C59—21no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C22⋊C4×C59—81no—
184C22⋊C4×C59—81no—
185C22⋊Dic59—42no—
186C22⋊Dic59—42no—
187C22⋊Dic59C4⋊C414yes—
188(C2×D59)⋊C4—42no—
189(C2×D59)⋊C4—42no—
190(C2×D59)⋊C4—81no—
191(C2×D59)⋊C4C4⋊C414yes—
192C4⋊Dic59—21no—
193C4⋊Dic59—21no—
194C4⋊Dic59—21no—
195C4⋊Dic59—21no—
196C4⋊Dic59—21no—
197C4⋊Dic59—21no—
198C4⋊Dic59C2×D412yes—
199C4⋊Dic59C2×D412yes—
200Dic59⋊C4—42no—
201Dic59⋊C4—42no—
202Dic59⋊C4—81no—
203Dic59⋊C4C4⋊C414yes—
204C4×Dic59—42no—
205C4×Dic59—42no—
206C4×Dic59—42no—
207C4×Dic59—42no—
208C4×Dic59—81no—
209C4×Dic59C22×C412yes—
210C4×Dic59C2×Q812yes—
211C2×C59⋊C8—21no—
212C2×C59⋊C8—21no—
213C2×C59⋊C8—21no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8C22×C412yes—
216C2×C59⋊C8C22×C412yes—
217#11745659—28no—
218C23×C59—21no—
219C23×C59—21no—
220C23×C59—21no—
221C23×C59—21no—
222C23×C59—21no—
223C23×C59—21no—
224C23×C59C2×C4⋊C412yes—
225C23×C59C22×D411yescharacteristic
226C22×D59—21no—
227C22×D59—21no—
228C22×D59—21no—
229C22×D59—21no—
230C22×D59—21no—
231C22×D59—21no—
232C22×D59C2×C4⋊C412yes—
233C2×C4×C59—21no—
234C2×C4×C59—21no—
235C2×C4×C59—22no—
236C2×C4×C59—22no—
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×C59—41no—
250C2×C4×C59—41no—
251C2×C4×C59C2×C4⋊C412yes—
252C2×C4×C59C23×C411yescharacteristic
253C2×C4×C59C22×D411yescharacteristic
254C2×C4×C59C22×Q811yescharacteristic
255C2×C4×C59C2×#4111yescharacteristic
256C2×C4×C59H(5,𝔽2)11yescharacteristic
257C2×C4×C592−1+411yescharacteristic
258C22⋊D59—44no—
259C2×Dic59—21no—
260C2×Dic59—21no—
261C2×Dic59—21no—
262C2×Dic59—21no—
263C2×Dic59—21no—
264C2×Dic59—21no—
265C2×Dic59—22no—
266C2×Dic59—22no—
267C2×Dic59—41no—
268C2×Dic59—41no—
269C2×Dic59—41no—
270C2×Dic59—41no—
271C2×Dic59—41no—
272C2×Dic59—41no—
273C2×Dic59—41no—
274C2×Dic59—41no—
275C2×Dic59—41no—
276C2×Dic59—41no—
277C2×Dic59C2×C4⋊C412yes—
278C2×Dic59C2×C4⋊C412yes—
279C2×Dic59C2×C4⋊C412yes—
280C4×D59—22no—
281C4×D59—22no—
282C4×D59—22no—
283C4×D59—22no—
284C4×D59—84no—
285C8×C59—22no—
286C8×C59C4×D414yes—
287C59⋊C8—22no—
288C59⋊C8—22no—
289#22662—591nomaximal, Sylow
290C22×C59—22no—
291C22×C59—22no—
292C22×C59—22no—
293C22×C59—41no—
294C22×C59—41no—
295C22×C59—41no—
296C22×C59—41no—
297C22×C59C22×C4⋊C411yescharacteristic
298C22×C59D4211yescharacteristic
299C22×C59#54711yescharacteristic
300C22×C59#57511yescharacteristic
301C22×C59#57511yescharacteristic
302C22×C59#57711yescharacteristic
303C22×C59#57711yescharacteristic
304C2×D59—22no—
305C2×D59—22no—
306C2×D59—22no—
307C2×D59—41no—
308C2×D59—41no—
309C2×D59—41no—
310C2×D59—41no—
311C4×C59—22no—
312C4×C59—81no—
313C4×C59—81no—
314C4×C59—81no—
315C4×C59—81no—
316C4×C59C2×C4×D411yescharacteristic
317C4×C59#52011yescharacteristic
318C4×C59D4×Q811yescharacteristic
319C4×C59#55411yescharacteristic
320Dic59—22no—
321Dic59—22no—
322Dic59—22no—
323Dic59—42no—
324Dic59—42no—
325Dic59—81no—
326Dic59—81no—
327C2×#435—591no—
328C2×#428—591no—
329C2×#427—591no—
330#2354—591no—
331#2352—591no—
332#1949—591no—
333#1948—591no—
334#1854—591no—
335#1854—591no—
336#1854—591no—
337#1853—591no—
338#1847—591no—
339#1809—591no—
340#1807D5911yescharacteristic, complemented
341#1776—591no—
342C2×C59—42no—
343C2×C59D4×C4⋊C411yescharacteristic
344C2×C59#291111yescharacteristic
345C2×C59#291211yescharacteristic
346C2×C59#326711yescharacteristic
347C2×C59#327111yescharacteristic
348C2×C59#334811yescharacteristic
349C2×C59#335011yescharacteristic
350D59—42no—
351C22×M16—591no—
352C23×C8C2×D5911yescharacteristic
353C2×C4×D4—591no—
354C2×#117—591no—
355C2×#117—591no—
356C2×#117—591no—
357C22×C4⋊C4—591no—
358#435—598no—
359#428—1184no—
360#427—1184no—
361C2×#107—591no—
362C2×#107—591no—
363C2×#107—591no—
364C2×#107—591no—
365C2×#106—591no—
366C2×#106—591no—
367C2×#106—591no—
368C2×#106—591no—
369C2×#106C2×D5911yescharacteristic
370C2×#106C2×D5911yescharacteristic
371C2×C4⋊C8—591no—
372C2×C22⋊C8—591no—
373C2×C22⋊C8—591no—
374C2×#97—591no—
375#390—1181no—
376#388—1181no—
377#388—1181no—
378#388—1181no—
379#387—1181no—
380#386—1181no—
381#384—591no—
382#382—591no—
383#380—591no—
384#380—591no—
385#380C2×D5911yescharacteristic
386#380C2×D5911yescharacteristic
387C4×C4⋊C4—591no—
388C4×C4⋊C4—591no—
389C4×C4⋊C4—1181no—
390C4×C22⋊C4—1181no—
391#340—591no—
392#340—591no—
393#340—591no—
394#340—591no—
395#340C2×D5911yescharacteristic
396#340C2×D5911yescharacteristic
397C59#2266211yescharacteristic, complemented, Sylow
398C22×D4—591no—
399C23×C4—591no—
400C23×C4—1181no—
401C23×C4C22×D5911yescharacteristic
402C2×M16—594no—
403C2×M16—1182no—
404C2×M16—1182no—
405C22×C8—22no—
406C22×C8—22no—
407C22×C8—591no—
408C22×C8—591no—
409C22×C8C4×D5914yescomplemented
410C22×C8C22×D5911yescharacteristic
411C22×C8C22×D5911yescharacteristic
412C4×D4—594no—
413C4×D4—594no—
414#117—1182no—
415#117—1182no—
416#117—1182no—
417#117—2361no—
418#117—2361no—
419#117—2361no—
420C2×C4⋊C4—591no—
421C2×C4⋊C4—591no—
422C2×C4⋊C4—591no—
423C2×C4⋊C4—591no—
424C2×C4⋊C4—591no—
425C2×C4⋊C4—1182no—
426C2×C4⋊C4—1181no—
427C2×C4⋊C4—1181no—
428C2×C4⋊C4—1181no—
429C2×C4⋊C4—2361no—
430C2×C4⋊C4C22×D5911yescharacteristic
431C2×C4⋊C4C22×D5911yescharacteristic
432C2×C4⋊C4C22×D5911yescharacteristic
433C2×C4⋊C4C22×D5911yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—591no—
437C2×C22⋊C4—591no—
438C2×C22⋊C4—1181no—
439C2×C22⋊C4—1181no—
440C2×C22⋊C4—1181no—
441C2×C22⋊C4—1181no—
442C2×C22⋊C4—1181no—
443C2×C42—591no—
444C2×C42—1181no—
445C2×C42—1181no—
446C2×C42—1181no—
447C2×C42—1181no—
448C2×C42—1181no—
449#107—594no—
450#107—1182no—
451#107—1182no—
452#107—2361no—
453#106—22no—
454#106—22no—
455#106—1182no—
456#106—1182no—
457#106—1182no—
458#106—2361no—
459C4⋊C8—594no—
460C22⋊C8—594no—
461C22⋊C8—594no—
462#97—594no—
463#95—21no—
464#95—21no—
465#95—1181no—
466#95—1181no—
467#95—1181no—
468#95—1181no—
469#95—1181no—
470#95—1181no—
471C24—591no—
472C24D4×D5911yescharacteristic
473C2×D4—594no—
474C2×D4—2361no—
475C2×D4—2361no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—591no—
485C22×C4—591no—
486C22×C4—591no—
487C22×C4—592no—
488C22×C4—592no—
489C22×C4—1181no—
490C22×C4—1181no—
491C22×C4—1181no—
492C22×C4—1181no—
493C22×C4—1181no—
494C22×C4—1181no—
495C22×C4—1181no—
496C22×C4—1181no—
497C22×C4—4721no—
498C22×C4—2362no—
499C22×C4—2362no—
500C22×C4C2×C4×D5912yes—
501C22×C4D4×D5911yescharacteristic
502C22×C4Q8×D5912yes—
503C22×C4C23×D5911yescharacteristic
504M16—1188no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—28no—
508C2×C8—592no—
509C2×C8—592no—
510C2×C8—1181no—
511C2×C8—1181no—
512C2×C8—1181no—
513C2×C8—1181no—
514C2×C8C2×C4×D5912yes—
515C2×C8C2×C4×D5912yes—
516C2×C8D4×D5912yes—
517C2×C8#1174568712yes—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—594no—
527C4⋊C4—592no—
528C4⋊C4—592no—
529C4⋊C4—1181no—
530C4⋊C4—1181no—
531C4⋊C4—1181no—
532C4⋊C4—1181no—
533C4⋊C4—1181no—
534C4⋊C4—1181no—
535C4⋊C4—4721no—
536C4⋊C4—2362no—
537C4⋊C4—2362no—
538C22⋊C4—81no—
539C22⋊C4—81no—
540C22⋊C4—594no—
541C22⋊C4—594no—
542C22⋊C4—4721no—
543C22⋊C4—2362no—
544C22⋊C4—2362no—
545C22⋊C4—2362no—
546C22⋊C4—2362no—
547C42—592no—
548C42—592no—
549C42—4721no—
550C42—2362no—
551C42—2362no—
552C42—2362no—
553C42—2362no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—592no—
561C23—1181no—
562C23—1181no—
563C23—1181no—
564C23—1181no—
565C23—1181no—
566C23—1181no—
567C23C4⋊C4×D5912yes—
568C23C2×D4×D5911yescharacteristic
569D4—2364no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—592no—
589C2×C4—592no—
590C2×C4—592no—
591C2×C4—1181no—
592C2×C4—1181no—
593C2×C4—1181no—
594C2×C4—1181no—
595C2×C4—1181no—
596C2×C4—1181no—
597C2×C4—1182no—
598C2×C4—1182no—
599C2×C4—1182no—
600C2×C4—1182no—
601C2×C4—1182no—
602C2×C4—1182no—
603C2×C4—4724no—
604C2×C4—2361no—
605C2×C4—2361no—
606C2×C4—2361no—
607C2×C4—2361no—
608C2×C4—2361no—
609C2×C4—2361no—
610C2×C4—2361no—
611C2×C4—2361no—
612C2×C4—2361no—
613C2×C4—2361no—
614C2×C4C4⋊C4×D5912yes—
615C2×C4C22×C4×D5911yescharacteristic
616C2×C4C2×D4×D5911yescharacteristic
617C2×C4C2×Q8×D5911yescharacteristic
618C2×C4C2×#1174568711yescharacteristic
619C2×C4#1427377311yescharacteristic
620C2×C4#1427377411yescharacteristic
621C8—22no—
622C8—1182no—
623C8—1182no—
624C8(C22⋊D59)⋊C414yes—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—1182no—
633C22—1182no—
634C22—1182no—
635C22—2361no—
636C22—2361no—
637C22—2361no—
638C22—2361no—
639C22C2×C4⋊C4×D5911yescharacteristic
640C22#1683803611yescharacteristic
641C22#1683805211yescharacteristic
642C22#1683819911yescharacteristic
643C22#1683819911yescharacteristic
644C22#1683820811yescharacteristic
645C22#1683820811yescharacteristic
646C4—22no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4—81no—
651C4—1182no—
652C4—1182no—
653C4—1182no—
654C4—4721no—
655C4—4721no—
656C4—2362no—
657C4—2362no—
658C4C2×(C22⋊D59)⋊C411yescharacteristic
659C4#1683788211yescharacteristic
660C4#1683806511yescharacteristic
661C4#1683811011yescharacteristic
662C2—42no—
663C2—2362no—
664C2#2142699211yescharacteristic
665C2#2143268411yescharacteristic
666C2#2143268711yescharacteristic
667C2#2143561811yescharacteristic
668C2#2143567811yescharacteristic
669C2#2143661711yescharacteristic
670C2#2143664711yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1807C2
socleC23×C59C22×D4
prime radicalC22×C22⋊D59D4
cosocleC22×C4×C59C24
hypercenter#1807D59
hypocenterC59#22662
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1807

Complements

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

NH ≅ G/Ntype
2. C2×#16837441C2semidirect
3. C2×#16837440C2semidirect
6. #21424863C2semidirect
7. #21424858C2semidirect
8. #21424296C2semidirect
9. #21424293C2semidirect
10. #21424293C2semidirect
11. #21424290C2semidirect
12. #21424261C2semidirect
13. #21424126C2semidirect
14. #21423996C2semidirect
15. C59×#1807C2semidirect
22. #16837473C4semidirect
102. #14273661D4semidirect
109. Dic59⋊C8C2×C4semidirect
110. C22⋊(C59⋊C8)C2×C4semidirect
112. #14273637C2×C4semidirect
122. C22×C8×C59C2×C4semidirect
340. #1807D59semidirect
397. C59#22662semidirect
409. C22×C8C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168374732
C2×#168374412
C2×#168374402
#214270402
#214270182
#214248632
#214248582
#214242962
#214242932
#214242902
#214242612
#214241262
#214239962
C59×#18072
#2266259