Finite Group Databasebeta

← #28611407

Subgroups — #28611407

Order 15104.

982 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837631C211yesmaximal, characteristic
2C2×#16837504C211yesmaximal, characteristic, complemented
3C2×#16837440C211yesmaximal, characteristic, complemented
4#21427132C211yesmaximal, characteristic
5#21427121C211yesmaximal, characteristic, complemented
6#21424977C211yesmaximal, characteristic, complemented
7#21424839C211yesmaximal, characteristic, complemented
8#21424731C211yesmaximal, characteristic, complemented
9#21424724C211yesmaximal, characteristic, complemented
10#21424416C211yesmaximal, characteristic
11#21424406C211yesmaximal, characteristic, complemented
12#21424367C211yesmaximal, characteristic, complemented
13#21424360C211yesmaximal, characteristic, complemented
14#21423993C211yesmaximal, characteristic, complemented
15C59×#1752C211yesmaximal, characteristic, complemented
16C22×#11745660C2211yescharacteristic
17C2×#14273706C2211yescharacteristic
18C2×#14273701C2211yescharacteristic
19C2×C4×Dic118C2211yescharacteristic
20C2×C4×D236C2211yescharacteristic
21C2×#14273686C2211yescharacteristic
22C2×#14273686C2211yescharacteristic
23#16837631C418yescomplemented
24#16837504—24no—
25#16837440—24no—
26C2×#14273661C2211yescharacteristic
27C2×#14273661C2211yescharacteristic
28C2×#14273659C2211yescharacteristic
29C2×#14273659C2211yescharacteristic
30C2×#14273659C2211yescharacteristic
31C2×#14273652C2211yescharacteristic
32C2×#14273652C2211yescharacteristic
33C2×#14273652C2211yescharacteristic
34C2×#14273649C2211yescharacteristic
35C2×#14273649C2211yescharacteristic
36C2×#14273649C2211yescharacteristic
37#16837308C2211yescharacteristic
38#16837304C2211yescharacteristic
39#16837302—21no—
40#16837300C2211yescharacteristic
41#16837300C2211yescharacteristic
42#16837296—21no—
43#16837291—21no—
44#16837290—21no—
45#16837284—21no—
46#16837278—21no—
47C4×C4⋊Dic59C2211yescharacteristic
48C4×C4⋊Dic59C2211yescharacteristic
49#16837253—21no—
50#16837249—21no—
51#16837165C2211yescharacteristic
52#16837165C2211yescharacteristic
53#16837165C2211yescharacteristic
54#16837165C2211yescharacteristic
55C23×C8×C59C2211yescharacteristic
56C2×C22⋊C8×C59C2211yescharacteristic
57C2×#97×C59C2211yescharacteristic
58C2×#97×C59C2211yescharacteristic
59C4×C22⋊C4×C59C2211yescharacteristic
60C59×#336C2211yescharacteristic
61C59×#336C2211yescharacteristic
62C22×Dic118C2311yescharacteristic
63C22×D236C2311yescharacteristic
64C22×C22⋊D59—21no—
65C22×C4×D59—21no—
66C2×#11745660—22no—
67C2×#11745660—22no—
68C2×#11745660C2×C414yes—
69#14273706—22no—
70#14273706C2×C414yescomplemented
71#14273701—22no—
72#14273701C2×C414yes—
73C4×Dic118—22no—
74C4×Dic118—41no—
75C4×D236—22no—
76C4×D236—41no—
77#14273686—22no—
78#14273686—22no—
79#14273686—41no—
80#14273686—41no—
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×C4⋊Dic59C2311yescharacteristic
85C2×C4⋊Dic59C2311yescharacteristic
86C2×C4⋊Dic59C2311yescharacteristic
87C2×Dic59⋊C4—21no—
88C2×Dic59⋊C4—21no—
89C2×Dic59⋊C4—21no—
90C2×Dic59⋊C4—21no—
91C2×C22⋊Dic59—21no—
92C2×C22⋊Dic59—21no—
93C2×C22⋊Dic59—21no—
94C2×(C2×D59)⋊C4—21no—
95C2×(C2×D59)⋊C4—21no—
96C2×(C2×D59)⋊C4—21no—
97C2×(C2×D59)⋊C4—21no—
98C2×C4×Dic59—21no—
99C2×C4×Dic59—21no—
100C2×C4×Dic59—21no—
101C2×C4×Dic59—21no—
102C2×C4×Dic59—21no—
103#14273661—22no—
104#14273661D414yescomplemented
105#14273659—22no—
106#14273659—22no—
107#14273659C2×C414yescomplemented
108#14273652—22no—
109#14273652—41no—
110#14273652C2×C414yescomplemented
111#14273649—22no—
112#14273649—41no—
113#14273649C2×C414yes—
114C59⋊#95—21no—
115C59⋊#95—21no—
116C59⋊#95—21no—
117C59⋊#95—21no—
118C59⋊#95—21no—
119C59⋊#95—21no—
120C23×C4×C59C2311yescharacteristic
121C22×C8×C59—22no—
122C22×C8×C59—22no—
123C22×C8×C59C2×C414yescomplemented
124C22×C8×C59C2311yescharacteristic
125C22×C8×C59C2311yescharacteristic
126C22×C8×C59C2311yescharacteristic
127C22×C8×C59C2311yescharacteristic
128C2×C22⋊C4×C59D411yescharacteristic
129C2×C22⋊C4×C59D411yescharacteristic
130C2×C42×C59C2311yescharacteristic
131C2×C42×C59C2311yescharacteristic
132C22⋊C8×C59—22no—
133#97×C59—22no—
134#97×C59—22no—
135#95×C59D411yescharacteristic
136#95×C59D411yescharacteristic
137C24×C59C2×D411yescharacteristic
138C23×D59—21no—
139C22×C4×C59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59C22×C412yes—
144C22×C4×C59C2×D411yescharacteristic
145C22×C4×C59C2×D411yescharacteristic
146C22×C4×C59C2×D411yescharacteristic
147C22×C4×C59C2×D411yescharacteristic
148C22×C4×C59C2×D411yescharacteristic
149C22×C4×C59#4112yes—
150C22×C4×C59C2411yescharacteristic
151C2×C22⋊D59—24no—
152C2×C22⋊D59—81no—
153C2×C22⋊D59—81no—
154C22×Dic59—21no—
155C22×Dic59—21no—
156C22×Dic59—21no—
157C22×Dic59—21no—
158C22×Dic59—21no—
159C22×Dic59—21no—
160C22×Dic59—21no—
161C2×D236—21no—
162C2×D236—21no—
163C2×D236—21no—
164C2×D236—21no—
165C2×D236—21no—
166C2×D236C22×C412yes—
167C2×C4×D59—42no—
168C2×C4×D59—42no—
169C2×C4×D59—81no—
170C2×Dic118—21no—
171C2×Dic118—21no—
172C2×Dic118—21no—
173C2×Dic118—21no—
174C2×Dic118—21no—
175C2×Dic118C22×C412yes—
176C2×C8×C59—21no—
177C2×C8×C59—21no—
178C2×C8×C59—28no—
179C2×C8×C59—21no—
180C2×C8×C59—21no—
181C2×C8×C59—21no—
182C2×C8×C59—21no—
183C2×C8×C59—21no—
184C2×C8×C59—21no—
185C2×C8×C59C22×C412yes—
186C2×C8×C59C22×C412yes—
187C2×C8×C59C2×D412yes—
188C2×C8×C59#4112yes—
189C22⋊C4×C59—41no—
190C22⋊C4×C59—41no—
191C42×C59—21no—
192C42×C59—21no—
193C42×C59—21no—
194C42×C59—21no—
195C22⋊Dic59—24no—
196C22⋊Dic59—42no—
197C22⋊Dic59—42no—
198(C2×D59)⋊C4—24no—
199(C2×D59)⋊C4—42no—
200(C2×D59)⋊C4—42no—
201(C2×D59)⋊C4—81no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59—21no—
209C4⋊Dic59—21no—
210C4⋊Dic59C22×C412yes—
211C4⋊Dic59C22×C412yes—
212C4⋊Dic59C2×D412yes—
213C4⋊Dic59C2×D412yes—
214Dic59⋊C4—24no—
215Dic59⋊C4—42no—
216Dic59⋊C4—42no—
217Dic59⋊C4—81no—
218C4×Dic59—42no—
219C4×Dic59—42no—
220C4×Dic59—42no—
221C4×Dic59—42no—
222C4×Dic59—81no—
223#11745660—28no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59C4×D412yes—
231C23×C59C22×D411yescharacteristic
232C22×D59—22no—
233C22×D59—41no—
234C22×D59—41no—
235C22×D59—41no—
236C22×D59—41no—
237C22×D59—41no—
238C22×D59—41no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—22no—
242C2×C4×C59—22no—
243C2×C4×C59—22no—
244C2×C4×C59—22no—
245C2×C4×C59—21no—
246C2×C4×C59—21no—
247C2×C4×C59—21no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59C4×D412yes—
258C2×C4×C59C23×C411yescharacteristic
259C2×C4×C59C22×D411yescharacteristic
260C2×C4×C59C2×#4111yescharacteristic
261C2×C4×C59C2×#4111yescharacteristic
262C2×C4×C59H(5,𝔽2)11yescharacteristic
263C2×C4×C592−1+411yescharacteristic
264C22⋊D59—84no—
265C2×Dic59—22no—
266C2×Dic59—22no—
267C2×Dic59—22no—
268C2×Dic59—22no—
269C2×Dic59—22no—
270C2×Dic59—41no—
271C2×Dic59—41no—
272C2×Dic59—41no—
273C2×Dic59—41no—
274C2×Dic59—41no—
275C2×Dic59—41no—
276C2×Dic59—41no—
277C2×Dic59—41no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286D236—22no—
287D236—22no—
288D236—41no—
289D236—41no—
290C4×D59—84no—
291Dic118—22no—
292Dic118—22no—
293Dic118—41no—
294Dic118—41no—
295C8×C59—22no—
296C8×C59—41no—
297C8×C59—41no—
298C8×C59C4×D414yes—
299#23033—591nomaximal, Sylow
300C22×C59—22no—
301C22×C59—22no—
302C22×C59—22no—
303C22×C59—41no—
304C22×C59—41no—
305C22×C59—41no—
306C22×C59—41no—
307C22×C59C2×C4×D411yescharacteristic
308C22×C59D4211yescharacteristic
309C22×C59#54711yescharacteristic
310C22×C59#57511yescharacteristic
311C22×C59#57511yescharacteristic
312C22×C59#57711yescharacteristic
313C22×C59#57711yescharacteristic
314C2×D59—42no—
315C2×D59—42no—
316C2×D59—42no—
317C2×D59—81no—
318C2×D59—81no—
319C2×D59—81no—
320C2×D59—81no—
321C4×C59—22no—
322C4×C59—41no—
323C4×C59—41no—
324C4×C59—41no—
325C4×C59—41no—
326C4×C59C2×C4×D411yescharacteristic
327C4×C59#52011yescharacteristic
328C4×C59#54811yescharacteristic
329C4×C59#55311yescharacteristic
330Dic59—42no—
331Dic59—42no—
332Dic59—42no—
333Dic59—42no—
334Dic59—42no—
335Dic59—81no—
336Dic59—81no—
337C2×#465—591no—
338C2×#440—591no—
339C2×#427—591no—
340#2363—591no—
341#2362—591no—
342#1973—591no—
343#1944—591no—
344#1927—591no—
345#1926—591no—
346#1875—591no—
347#1873—591no—
348#1865—591no—
349#1864—591no—
350#1776—591no—
351#1752D5911yescharacteristic, complemented
352C2×C59—42no—
353C2×C59#236111yescharacteristic
354C2×C59#294311yescharacteristic
355C2×C59#294911yescharacteristic
356C2×C59#326711yescharacteristic
357C2×C59#327111yescharacteristic
358C2×C59#334811yescharacteristic
359C2×C59#335011yescharacteristic
360D59—82no—
361C22×SD16—591no—
362C23×C8C2×D5911yescharacteristic
363C2×C22⋊Q8—591no—
364C2×#121—591no—
365C2×C4×Q8—591no—
366C2×C4×D4—591no—
367C2×#117—591no—
368C2×#117—591no—
369#465—598no—
370#440—1184no—
371#427—1184no—
372C2×#107—591no—
373C2×#107—591no—
374C2×#106—591no—
375C2×#106—591no—
376C2×#106—591no—
377C2×#103—591no—
378C2×#103—591no—
379C2×#103—591no—
380C2×#102—591no—
381C2×#102—591no—
382C2×#102—591no—
383C2×C22⋊C8C2×D5911yescharacteristic
384C2×#97C2×D5911yescharacteristic
385C2×#97C2×D5911yescharacteristic
386#391—591no—
387#390—591no—
388#390—1181no—
389#389—591no—
390#389—591no—
391#388—1181no—
392#388—1181no—
393#388—1181no—
394#387—1181no—
395#386—1181no—
396C4×C4⋊C4—591no—
397C4×C4⋊C4—591no—
398C4×C4⋊C4—1181no—
399C4×C22⋊C4—1181no—
400C4×C22⋊C4C2×D5911yescharacteristic
401#340—591no—
402#340—591no—
403#340—591no—
404#340—591no—
405#336C2×D5911yescharacteristic
406#336C2×D5911yescharacteristic
407C59#2303311yescharacteristic, complemented, Sylow
408C22×Q8—591no—
409C22×D4—591no—
410C22×D4—1181no—
411C23×C4—1181no—
412C23×C4C22×D5911yescharacteristic
413C2×SD16—594no—
414C2×SD16—1182no—
415C2×SD16—1182no—
416C22×C8—22no—
417C22×C8—22no—
418C22×C8C4×D5914yescomplemented
419C22×C8C22×D5911yescharacteristic
420C22×C8C22×D5911yescharacteristic
421C22×C8C22×D5911yescharacteristic
422C22×C8C22×D5911yescharacteristic
423C22⋊Q8—594no—
424C22⋊Q8—1182no—
425#121—594no—
426#121—1182no—
427C4×Q8—1182no—
428C4×Q8—2361no—
429C4×D4—1182no—
430C4×D4—2361no—
431#117—1182no—
432#117—1182no—
433#117—2361no—
434#117—2361no—
435C2×C4⋊C4—591no—
436C2×C4⋊C4—591no—
437C2×C4⋊C4—591no—
438C2×C4⋊C4—591no—
439C2×C4⋊C4—591no—
440C2×C4⋊C4—591no—
441C2×C4⋊C4—1181no—
442C2×C4⋊C4—1181no—
443C2×C4⋊C4—1181no—
444C2×C4⋊C4—1181no—
445C2×C22⋊C4—1181no—
446C2×C22⋊C4—1181no—
447C2×C22⋊C4—1181no—
448C2×C22⋊C4—1181no—
449C2×C22⋊C4—1181no—
450C2×C22⋊C4—1181no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4D23611yescharacteristic
453C2×C22⋊C4D23611yescharacteristic
454C2×C42—1181no—
455C2×C42—1181no—
456C2×C42—1181no—
457C2×C42—1181no—
458C2×C42—1181no—
459C2×C42C22×D5911yescharacteristic
460C2×C42C22×D5911yescharacteristic
461#107—594no—
462#107—1182no—
463#106—594no—
464#106—1182no—
465#106—1182no—
466#103—594no—
467#103—1182no—
468#103—2361no—
469#102—594no—
470#102—1182no—
471#102—2361no—
472C22⋊C8—22no—
473#97—22no—
474#97—22no—
475#95—1181no—
476#95—1181no—
477#95—1181no—
478#95—1181no—
479#95—1181no—
480#95—1181no—
481#95D23611yescharacteristic
482#95D23611yescharacteristic
483C24—1181no—
484C24C2×D23611yescharacteristic
485C2×Q8—592no—
486C2×Q8—1181no—
487C2×Q8—1181no—
488C2×Q8—1181no—
489C2×Q8—1181no—
490C2×Q8—1181no—
491C2×D4—592no—
492C2×D4—1184no—
493C2×D4—1181no—
494C2×D4—1181no—
495C2×D4—1181no—
496C2×D4—1181no—
497C2×D4—1181no—
498C2×D4—4721no—
499C2×D4—4721no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—1181no—
505C22×C4—1181no—
506C22×C4—1181no—
507C22×C4—1181no—
508C22×C4—1181no—
509C22×C4—1181no—
510C22×C4—1181no—
511C22×C4—4721no—
512C22×C4—2362no—
513C22×C4—2362no—
514C22×C4C2×C4×D5912yes—
515C22×C4C2×D23611yescharacteristic
516C22×C4C2×D23611yescharacteristic
517C22×C4C2×D23611yescharacteristic
518C22×C4C2×D23611yescharacteristic
519C22×C4C2×D23611yescharacteristic
520C22×C4#1174568512yes—
521C22×C4C23×D5911yescharacteristic
522SD16—1188no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—28no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8C2×C4×D5912yes—
533C2×C8C2×C4×D5912yes—
534C2×C8D4×D5912yes—
535C2×C8#1174568712yes—
536C4⋊C4—592no—
537C4⋊C4—592no—
538C4⋊C4—592no—
539C4⋊C4—592no—
540C4⋊C4—1184no—
541C4⋊C4—1181no—
542C4⋊C4—1181no—
543C4⋊C4—1181no—
544C4⋊C4—1181no—
545C4⋊C4—1181no—
546C4⋊C4—1181no—
547C4⋊C4—1181no—
548C4⋊C4—1181no—
549C4⋊C4—4721no—
550C4⋊C4—2362no—
551C4⋊C4—2362no—
552C22⋊C4—41no—
553C22⋊C4—41no—
554C22⋊C4—1184no—
555C22⋊C4—1184no—
556C22⋊C4—4721no—
557C22⋊C4—2362no—
558C22⋊C4—2362no—
559C22⋊C4—2362no—
560C22⋊C4—2362no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—4721no—
566C42—2362no—
567C42—2362no—
568C42—2362no—
569C42—2362no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—1182no—
577C23—2361no—
578C23—2361no—
579C23—2361no—
580C23—2361no—
581C23—2361no—
582C23—2361no—
583C23C4×D23612yes—
584C23C22×D23611yescharacteristic
585Q8—1182no—
586Q8—1182no—
587Q8—2361no—
588Q8—2361no—
589D4—1182no—
590D4—1182no—
591D4—4724no—
592D4—2361no—
593D4—2361no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—1182no—
613C2×C4—1182no—
614C2×C4—1182no—
615C2×C4—1182no—
616C2×C4—1182no—
617C2×C4—4724no—
618C2×C4—2361no—
619C2×C4—2361no—
620C2×C4—2361no—
621C2×C4—2361no—
622C2×C4—2361no—
623C2×C4—2361no—
624C2×C4—2361no—
625C2×C4—2361no—
626C2×C4—2361no—
627C2×C4—2361no—
628C2×C4—2361no—
629C2×C4—2361no—
630C2×C4—2361no—
631C2×C4—2361no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4C4×D23612yes—
635C2×C4C22×C4×D5911yescharacteristic
636C2×C4C2×D4×D5911yescharacteristic
637C2×C4C2×#1174568711yescharacteristic
638C2×C4C2×#1174568511yescharacteristic
639C2×C4#1427377311yescharacteristic
640C2×C4#1427377411yescharacteristic
641C8—22no—
642C8—41no—
643C8—41no—
644C8(C22⋊D59)⋊C414yes—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—4721no—
653C22—4721no—
654C22—4721no—
655C22—4721no—
656C22—2362no—
657C22—2362no—
658C22—2362no—
659C22C2×C4×D23611yescharacteristic
660C22D4×D23611yescharacteristic
661C22#1683805611yescharacteristic
662C22#1683820211yescharacteristic
663C22#1683820211yescharacteristic
664C22#1683821411yescharacteristic
665C22#1683821411yescharacteristic
666C4—22no—
667C4—41no—
668C4—41no—
669C4—41no—
670C4—41no—
671C4—4721no—
672C4—4721no—
673C4—2362no—
674C4—2362no—
675C4—2362no—
676C4—2362no—
677C4—2362no—
678C4C2×(C22⋊D59)⋊C411yescharacteristic
679C4#1683788211yescharacteristic
680C4#1683806111yescharacteristic
681C4#1683809811yescharacteristic
682C2—42no—
683C2—4722no—
684C2#2142711011yescharacteristic
685C2#2143289811yescharacteristic
686C2#2143295711yescharacteristic
687C2#2143562611yescharacteristic
688C2#2143568611yescharacteristic
689C2#2143661311yescharacteristic
690C2#2143664311yescharacteristic
subgroupG/H
centerC23C22×D236
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1752C2
socleC23×C59C22×D4
prime radicalC2×#14273701C22
cosocleC22×C4×C59C24
hypercenter#1752D59
hypocenterC59#23033
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #1752

Complements

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

NH ≅ G/Ntype
2. C2×#16837504C2semidirect
3. C2×#16837440C2semidirect
5. #21427121C2semidirect
6. #21424977C2semidirect
7. #21424839C2semidirect
8. #21424731C2semidirect
9. #21424724C2semidirect
11. #21424406C2semidirect
12. #21424367C2semidirect
13. #21424360C2semidirect
14. #21423993C2semidirect
15. C59×#1752C2semidirect
23. #16837631C4semidirect
70. #14273706C2×C4semidirect
104. #14273661D4semidirect
107. #14273659C2×C4semidirect
110. #14273652C2×C4semidirect
123. C22×C8×C59C2×C4semidirect
351. #1752D59semidirect
407. C59#23033semidirect
418. C22×C8C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168376312
C2×#168375042
C2×#168374402
#214271322
#214271212
#214249772
#214248392
#214247312
#214247242
#214244162
#214244062
#214243672
#214243602
#214239932
C59×#17522
#2303359