Finite Group Databasebeta

← #26215859

Subgroups — #26215859

Order 12032.

1590 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D47C211yesmaximal, characteristic
2C2×#15689165C211yesmaximal, characteristic, complemented
3#20245767C211yesmaximal, characteristic
4C2×#15688980C211yesmaximal, characteristic
5#20243422C212yesmaximal, complemented
6#20243418C212yesmaximal, complemented
7#20243414C212yesmaximal, complemented
8#20243410C212yesmaximal, complemented
9#20243109C211yesmaximal, characteristic, complemented
10#20243107C211yesmaximal, characteristic, complemented
11C2×C47×#428C211yesmaximal, characteristic, complemented
12C23×C4×D47C2211yescharacteristic
13C22×#10625329C2211yescharacteristic
14C22×#10625324C2212yes—
15C2×M16×D47—24no—
16C2×M16×D47—24no—
17C2×M16×D47C418yescomplemented
18C22×C8×D47C2212yes—
19C2×#13093983C2211yescharacteristic
20C22×C4⋊Dic47C2211yescharacteristic
21C22×(C2×D47)⋊C4—21no—
22#15689165—24no—
23C2×#13093958C2212yescomplemented
24C2×#13093956C2212yescomplemented
25#15688984—21no—
26#15688980—21no—
27#15688980—21no—
28#15688980C2211yescharacteristic
29#15688980C2211yescharacteristic
30#15688980C2211yescharacteristic
31#15688980C2211yescharacteristic
32#15688980C2212yes—
33#15688980C2212yes—
34#15688978—21no—
35C4×(C2×D47)⋊C4—21no—
36C4×(C2×D47)⋊C4—21no—
37C2×C47⋊#95—21no—
38#15688885C2212yescomplemented
39#15688885C2212yescomplemented
40#15688885C2212yescomplemented
41#15688885C2212yescomplemented
42C22×M16×C47C2211yescharacteristic
43C2×#117×C47C2211yescharacteristic
44C22×C4⋊C4×C47C2211yescharacteristic
45C47×#428—24no—
46C2×#107×C47C2212yescomplemented
47C2×#106×C47C2212yescomplemented
48C24×D47D411yescharacteristic
49C23×Dic47—21no—
50C23×Dic47D411yescharacteristic
51C22×C4×D47—22no—
52C22×C4×D47—22no—
53C22×C4×D47—22no—
54C22×C4×D47—22no—
55C22×C4×D47C2×C414yes—
56C22×C4×D47D411yescharacteristic
57C22×C4×D47D411yescharacteristic
58C22×C4×D47Q814yes—
59C22×C4×D47C2311yescharacteristic
60C22×C4×D47C2311yescharacteristic
61C2×#10625329—22no—
62C2×#10625329—22no—
63C2×#10625329C2×C414yes—
64C2×#10625324—24no—
65C2×#10625324—24no—
66C2×#10625324C2×C418yescomplemented
67M16×D47—232no—
68C22×C47⋊C8C2312yes—
69C2×C8×D47—24no—
70C2×C8×D47—24no—
71C2×C8×D47C2×C418yescomplemented
72#13093983—22no—
73#13093983—22no—
74C2×C4⋊Dic47—22no—
75C2×C4⋊Dic47—22no—
76C2×C4⋊Dic47—21no—
77C2×C4⋊Dic47C2312yes—
78C2×C4⋊Dic47C2311yescharacteristic
79C2×C4⋊Dic47C2311yescharacteristic
80C2×C22⋊Dic47—21no—
81C2×(C2×D47)⋊C4—21no—
82C2×(C2×D47)⋊C4—21no—
83C2×(C2×D47)⋊C4—21no—
84C2×(C2×D47)⋊C4—21no—
85C2×(C2×D47)⋊C4—22no—
86C2×(C2×D47)⋊C4—22no—
87C2×(C2×D47)⋊C4—44no—
88C2×C4×Dic47—21no—
89#13093958—24no—
90#13093956—24no—
91C47⋊#95—22no—
92C47⋊#95—22no—
93C47⋊#95—21no—
94C47⋊#95—21no—
95C47⋊#95—21no—
96C47⋊#95—21no—
97C23×C4×C47—21no—
98C23×C4×C47C2311yescharacteristic
99C2×M16×C47C2×C414yes—
100C2×M16×C47D414yes—
101C2×M16×C47D414yes—
102C22×C8×C47C2312yes—
103#117×C47—22no—
104#117×C47—22no—
105C2×C4⋊C4×C47—22no—
106C2×C4⋊C4×C47—22no—
107C2×C4⋊C4×C47—21no—
108C2×C4⋊C4×C47C2312yes—
109C2×C4⋊C4×C47C2311yescharacteristic
110C2×C4⋊C4×C47C2311yescharacteristic
111C2×C22⋊C4×C47—21no—
112C2×C42×C47—21no—
113#107×C47—24no—
114#106×C47—24no—
115C24×C47C2×D411yescharacteristic
116C23×D47—22no—
117C23×D47—22no—
118C23×D47—22no—
119C23×D47—22no—
120C23×D47—41no—
121C23×D47—41no—
122C23×D47C4⋊C414yes—
123C23×D47C2×D411yescharacteristic
124C23×D47C2×D411yescharacteristic
125C22×C4×C47—21no—
126C22×C4×C47—21no—
127C22×C4×C47—22no—
128C22×C4×C47—42no—
129C22×C4×C47—42no—
130C22×C4×C47—42no—
131C22×C4×C47C22×C412yes—
132C22×C4×C47C2×D412yes—
133C22×C4×C47C2×D412yes—
134C22×C4×C47C2×D411yescharacteristic
135C22×C4×C47C2×Q812yes—
136C22×C4×C47#4112yes—
137C22×C4×C47#4112yes—
138C22×C4×C47C2411yescharacteristic
139C22×Dic47—22no—
140C22×Dic47—22no—
141C22×Dic47—21no—
142C22×Dic47—21no—
143C22×Dic47—22no—
144C22×Dic47—42no—
145C22×Dic47—42no—
146C22×Dic47—42no—
147C22×Dic47C4⋊C414yes—
148C22×Dic47C2×D411yescharacteristic
149C22×Dic47C2×D411yescharacteristic
150C2×C4×D47—28no—
151C2×C4×D47—28no—
152C2×C4×D47—22no—
153C2×C4×D47—22no—
154C2×C4×D47—22no—
155C2×C4×D47—22no—
156C2×C4×D47—28no—
157C2×C4×D47—28no—
158C2×C4×D47—21no—
159C2×C4×D47—21no—
160C2×C4×D47—21no—
161C2×C4×D47—21no—
162C2×C4×D47—21no—
163C2×C4×D47—21no—
164C2×C4×D47—21no—
165C2×C4×D47—21no—
166C2×C4×D47C4⋊C414yes—
167C2×C4×D47C4⋊C414yes—
168C2×C4×D47C22×C412yes—
169C2×C4×D47C22×C412yes—
170C2×C4×D47C2×Q812yes—
171C2×C4×D47C2×Q812yes—
172M16×C47C22⋊C4116yescomplemented
173C2×C8×C47C22×C414yes—
174C2×C8×C47C2×D414yes—
175C2×C8×C47C2×D414yes—
176C4⋊C4×C47—21no—
177C4⋊C4×C47—22no—
178C4⋊C4×C47—21no—
179C4⋊C4×C47—22no—
180C4⋊C4×C47—21no—
181C4⋊C4×C47—21no—
182C4⋊C4×C47—42no—
183C22⋊C4×C47—42no—
184C42×C47—42no—
185C22⋊Dic47—42no—
186(C2×D47)⋊C4—42no—
187(C2×D47)⋊C4—42no—
188(C2×D47)⋊C4—44no—
189(C2×D47)⋊C4—42no—
190(C2×D47)⋊C4—44no—
191(C2×D47)⋊C4—42no—
192C4⋊Dic47—21no—
193C4⋊Dic47—22no—
194C4⋊Dic47—21no—
195C4⋊Dic47—22no—
196C4⋊Dic47—21no—
197C4⋊Dic47—21no—
198C4⋊Dic47—42no—
199C4×Dic47—42no—
200#10625329—28no—
201C2×C47⋊C8—22no—
202C2×C47⋊C8—22no—
203C2×C47⋊C8C22×C414yes—
204#10625324—216no—
205C8×D47—216no—
206C23×C47—21no—
207C23×C47—21no—
208C23×C47—21no—
209C23×C47—21no—
210C23×C47C2×C4⋊C412yes—
211C23×C47#12112yes—
212C23×C47#12112yes—
213C23×C47C22×D411yescharacteristic
214C22×D47—21no—
215C22×D47—21no—
216C22×D47—21no—
217C22×D47—21no—
218C22×D47—21no—
219C22×D47—21no—
220C22×D47—21no—
221C22×D47—21no—
222C22×D47—21no—
223C22×D47—21no—
224C22×D47—28no—
225C22×D47—28no—
226C22×D47—44no—
227C22×D47—44no—
228C22×D47—44no—
229C22×D47—44no—
230C22×D47—44no—
231C22×D47C2×C4⋊C412yes—
232C22×D47C2×C4⋊C412yes—
233C22×D47AGL(1,ℤ/8)12yes—
234C22×D47#13712yes—
235C2×C4×C47—41no—
236C2×C4×C47—41no—
237C2×C4×C47—42no—
238C2×C4×C47—42no—
239C2×C4×C47—41no—
240C2×C4×C47—41no—
241C2×C4×C47—41no—
242C2×C4×C47—41no—
243C2×C4×C47—42no—
244C2×C4×C47—84no—
245C2×C4×C47C2×C22⋊C414yes—
246C2×C4×C47C2×C4⋊C412yes—
247C2×C4×C47#11714yes—
248C2×C4×C47#12112yes—
249C2×C4×C47#12112yes—
250C2×C4×C47C22⋊Q814yes—
251C2×C4×C47C22⋊Q814yes—
252C2×C4×C47C23×C411yescharacteristic
253C2×C4×C47C22×D411yescharacteristic
254C2×C4×C47C22×D411yescharacteristic
255C2×C4×C47C22×Q811yescharacteristic
256C2×C4×C47C2×#4111yescharacteristic
257C2×C4×C47C2×#4111yescharacteristic
258C2×Dic47—21no—
259C2×Dic47—21no—
260C2×Dic47—21no—
261C2×Dic47—21no—
262C2×Dic47—28no—
263C2×Dic47—41no—
264C2×Dic47—41no—
265C2×Dic47—42no—
266C2×Dic47—42no—
267C2×Dic47—41no—
268C2×Dic47—41no—
269C2×Dic47—41no—
270C2×Dic47—41no—
271C2×Dic47—42no—
272C2×Dic47—84no—
273C2×Dic47C2×C4⋊C412yes—
274C2×Dic47C2×C4⋊C412yes—
275C4×D47—22no—
276C4×D47—22no—
277C4×D47—22no—
278C4×D47—22no—
279C4×D47—22no—
280C4×D47—22no—
281C4×D47—22no—
282C4×D47—22no—
283C4×D47—28no—
284C4×D47—28no—
285C8×C47C2×C22⋊C418yescomplemented
286C47⋊C8—24no—
287#20661—471nomaximal, Sylow
288C22×C47—22no—
289C22×C47—22no—
290C22×C47—22no—
291C22×C47—22no—
292C22×C47—22no—
293C22×C47—22no—
294C22×C47#38014yes—
295C22×C47C22×C4⋊C411yescharacteristic
296C22×C47C2×#12111yescharacteristic
297C22×C47C2×#12111yescharacteristic
298C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
299C22×C47C2×#13711yescharacteristic
300C22×C47#57511yescharacteristic
301C22×C47#57511yescharacteristic
302C2×D47—22no—
303C2×D47—22no—
304C2×D47—22no—
305C2×D47—22no—
306C2×D47—22no—
307C2×D47—22no—
308C2×D47—22no—
309C2×D47—22no—
310C2×D47—22no—
311C2×D47—416no—
312C2×D47—41no—
313C2×D47—41no—
314C2×D47—41no—
315C2×D47—41no—
316C2×D47#42814yescomplemented
317C4×C47—81no—
318C4×C47—82no—
319C4×C47—81no—
320C4×C47#38014yes—
321C4×C47C22×C22⋊C411yescharacteristic
322C4×C47C2×#11711yescharacteristic
323C4×C47C2×C22⋊Q811yescharacteristic
324C4×C47C2×C22⋊Q811yescharacteristic
325Dic47—22no—
326Dic47—22no—
327Dic47—81no—
328Dic47—82no—
329Dic47—81no—
330C23×M16—471no—
331C2×#428—471no—
332C2×#428D4711yescharacteristic, complemented
333#2280—471no—
334C2×#380—471no—
335#1809—472no—
336#1809—472no—
337#1808—472no—
338#1807—472no—
339#1736—471no—
340#1736—471no—
341C2×C47—24no—
342C2×C47C2×#38011yescharacteristic
343C2×C47C2×#42811yescharacteristic
344C2×C47#291111yescharacteristic
345C2×C47#305511yescharacteristic
346C2×C47#305511yescharacteristic
347C2×C47#305611yescharacteristic
348C2×C47#305611yescharacteristic
349D47—24no—
350D47—42no—
351C24×C4—471no—
352C22×M16—471no—
353C22×M16—478no—
354C22×M16—472no—
355C22×M16—944no—
356C22×M16—944no—
357C22×M16C2×D4711yescharacteristic
358C23×C8—472no—
359C2×#117—471no—
360C2×#117C2×D4711yescharacteristic
361C22×C4⋊C4—471no—
362C22×C4⋊C4C2×D4711yescharacteristic
363C22×C22⋊C4—941no—
364#428—24no—
365#428—944no—
366C2×#107—472no—
367C2×#107C2×D4712yescomplemented
368C2×#106—472no—
369C2×#106C2×D4712yescomplemented
370#381—941no—
371#380—471no—
372#380—472no—
373#380—471no—
374#380—472no—
375#380—471no—
376#380—471no—
377#380—941no—
378#380—941no—
379#379—941no—
380C4×C22⋊C4—941no—
381C4×C22⋊C4—941no—
382C2×#95—941no—
383#340—472no—
384#340—472no—
385#340—472no—
386#340—472no—
387C47#2066111yescharacteristic, complemented, Sylow
388C25—471no—
389C23×C4—21no—
390C23×C4—471no—
391C23×C4—474no—
392C23×C4—471no—
393C23×C4—471no—
394C23×C4—474no—
395C23×C4—471no—
396C23×C4—471no—
397C23×C4—942no—
398C23×C4—942no—
399C23×C4—942no—
400C23×C4—942no—
401C23×C4—941no—
402C23×C4C22×D4711yescharacteristic
403C2×M16—474no—
404C2×M16—478no—
405C2×M16—942no—
406C2×M16—942no—
407C2×M16—9432no—
408C2×M16—944no—
409C2×M16—944no—
410C2×M16C4×D4714yes—
411C2×M16D18814yes—
412C2×M16C22⋊D4714yes—
413C22×C8—472no—
414C22×C8—478no—
415C22×C8—944no—
416C22×C8—944no—
417C22×C8C22×D4712yes—
418#117—22no—
419#117—22no—
420#117—942no—
421#117—942no—
422C2×C4⋊C4—22no—
423C2×C4⋊C4—22no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—472no—
426C2×C4⋊C4—471no—
427C2×C4⋊C4—471no—
428C2×C4⋊C4—942no—
429C2×C4⋊C4—942no—
430C2×C4⋊C4—941no—
431C2×C4⋊C4C22×D4712yes—
432C2×C4⋊C4C22×D4711yescharacteristic
433C2×C4⋊C4C22×D4711yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—942no—
436C2×C22⋊C4—942no—
437C2×C22⋊C4—941no—
438C2×C22⋊C4—941no—
439C2×C22⋊C4—941no—
440C2×C22⋊C4—941no—
441C2×C22⋊C4—941no—
442C2×C22⋊C4—1884no—
443C2×C42—21no—
444C2×C42—941no—
445#107—24no—
446#107—944no—
447#106—24no—
448#106—944no—
449#95—942no—
450#95—942no—
451#95—941no—
452#95—941no—
453#95—941no—
454#95—941no—
455C24—471no—
456C24—471no—
457C24—474no—
458C24—942no—
459C24—942no—
460C24—942no—
461C24—942no—
462C24—1881no—
463C24—1881no—
464C24D4×D4711yescharacteristic
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—474no—
472C22×C4—471no—
473C22×C4—471no—
474C22×C4—474no—
475C22×C4—474no—
476C22×C4—472no—
477C22×C4—472no—
478C22×C4—472no—
479C22×C4—472no—
480C22×C4—942no—
481C22×C4—942no—
482C22×C4—948no—
483C22×C4—948no—
484C22×C4—942no—
485C22×C4—942no—
486C22×C4—942no—
487C22×C4—942no—
488C22×C4—948no—
489C22×C4—948no—
490C22×C4—941no—
491C22×C4—941no—
492C22×C4—941no—
493C22×C4—941no—
494C22×C4—941no—
495C22×C4—941no—
496C22×C4—941no—
497C22×C4—941no—
498C22×C4—941no—
499C22×C4—941no—
500C22×C4—942no—
501C22×C4—1882no—
502C22×C4—1882no—
503C22×C4—1882no—
504C22×C4C2×C4×D4712yes—
505C22×C4C2×D18812yes—
506C22×C4D4×D4711yescharacteristic
507C22×C4#1062535212yes—
508C22×C4Q8×D4712yes—
509C22×C4#1062535412yes—
510C22×C4C2×C22⋊D4712yes—
511C22×C4C23×D4711yescharacteristic
512M16—948no—
513M16—9416no—
514M16(C2×D47)⋊C4116yescomplemented
515C2×C8—474no—
516C2×C8—942no—
517C2×C8—942no—
518C2×C8—9416no—
519C2×C8C2×C4×D4714yes—
520C2×C8C2×D18814yes—
521C2×C8C2×C22⋊D4714yes—
522C4⋊C4—21no—
523C4⋊C4—22no—
524C4⋊C4—21no—
525C4⋊C4—22no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—42no—
529C4⋊C4—941no—
530C4⋊C4—942no—
531C4⋊C4—941no—
532C4⋊C4—942no—
533C4⋊C4—941no—
534C4⋊C4—941no—
535C4⋊C4—1882no—
536C22⋊C4—42no—
537C22⋊C4—1882no—
538C22⋊C4—1882no—
539C22⋊C4—1884no—
540C22⋊C4—1882no—
541C22⋊C4—1882no—
542C22⋊C4—1884no—
543C22⋊C4—1882no—
544C42—42no—
545C42—1882no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—472no—
551C23—472no—
552C23—472no—
553C23—472no—
554C23—948no—
555C23—941no—
556C23—941no—
557C23—941no—
558C23—941no—
559C23—948no—
560C23—941no—
561C23—941no—
562C23—941no—
563C23—941no—
564C23—941no—
565C23—941no—
566C23—1884no—
567C23—1884no—
568C23—1884no—
569C23—1884no—
570C23—1884no—
571C23C4⋊C4×D4712yes—
572C23#1309399512yes—
573C23#1309399912yes—
574C23C2×D4×D4711yescharacteristic
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—42no—
578C2×C4—42no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—42no—
583C2×C4—41no—
584C2×C4—84no—
585C2×C4—472no—
586C2×C4—472no—
587C2×C4—948no—
588C2×C4—941no—
589C2×C4—941no—
590C2×C4—941no—
591C2×C4—941no—
592C2×C4—948no—
593C2×C4—948no—
594C2×C4—942no—
595C2×C4—942no—
596C2×C4—942no—
597C2×C4—942no—
598C2×C4—942no—
599C2×C4—942no—
600C2×C4—942no—
601C2×C4—942no—
602C2×C4—3764no—
603C2×C4—1881no—
604C2×C4—1881no—
605C2×C4—1882no—
606C2×C4—1882no—
607C2×C4—1881no—
608C2×C4—1881no—
609C2×C4—1881no—
610C2×C4—1881no—
611C2×C4—1882no—
612C2×C4C2×(C2×D47)⋊C414yes—
613C2×C4C4⋊C4×D4712yes—
614C2×C4#1309398214yes—
615C2×C4#1309399512yes—
616C2×C4#1309399912yes—
617C2×C4#1309400014yes—
618C2×C4#1309400414yes—
619C2×C4C22×C4×D4711yescharacteristic
620C2×C4C22×C22⋊D4711yescharacteristic
621C2×C4C22×D18811yescharacteristic
622C2×C4C2×Q8×D4711yescharacteristic
623C2×C4C2×#1062535211yescharacteristic
624C2×C4C2×#1062535411yescharacteristic
625C8—944no—
626C8C2×(C2×D47)⋊C418yescomplemented
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—474no—
634C22—942no—
635C22—942no—
636C22—942no—
637C22—942no—
638C22—942no—
639C22—942no—
640C22—942no—
641C22—942no—
642C22—942no—
643C22—18816no—
644C22—1881no—
645C22—1881no—
646C22—1881no—
647C22—1881no—
648C22#1568898014yes—
649C22C2×C4⋊C4×D4711yescharacteristic
650C22C2×#1309399511yescharacteristic
651C22C2×#1309399911yescharacteristic
652C22AGL(1,ℤ/8)×D4711yescharacteristic
653C22#137×D4711yescharacteristic
654C22#1568991911yescharacteristic
655C22#1568992211yescharacteristic
656C4—82no—
657C4—81no—
658C4—81no—
659C4—942no—
660C4—942no—
661C4—3762no—
662C4—3761no—
663C4—3761no—
664C4#1568898014yes—
665C4C22×(C2×D47)⋊C411yescharacteristic
666C4C2×#1309398211yescharacteristic
667C4C2×#1309400011yescharacteristic
668C4C2×#1309400411yescharacteristic
669C2—24no—
670C2—944no—
671C2—1882no—
672C2C2×#1568898011yescharacteristic
673C2#428×D4711yescharacteristic
674C2#2025197511yescharacteristic
675C2#2025300111yescharacteristic
676C2#2025300811yescharacteristic
677C2#2025301211yescharacteristic
678C2#2025301911yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC2×C47×#428C2
socleC23×C47C22×D4
prime radicalC24×D47D4
cosocleC22×C4×C47C24
hypercenterC2×#428D47
hypocenterC47#20661
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#15689165C2semidirect
5. #20243422C2semidirect
6. #20243418C2semidirect
7. #20243414C2semidirect
8. #20243410C2semidirect
9. #20243109C2semidirect
10. #20243107C2semidirect
11. C2×C47×#428C2semidirect
17. C2×M16×D47C4semidirect
23. C2×#13093958C22semidirect
24. C2×#13093956C22semidirect
38. #15688885C22semidirect
39. #15688885C22semidirect
40. #15688885C22semidirect
41. #15688885C22semidirect
46. C2×#107×C47C22semidirect
47. C2×#106×C47C22semidirect
66. C2×#10625324C2×C4semidirect
71. C2×C8×D47C2×C4semidirect
172. M16×C47C22⋊C4semidirect
285. C8×C47C2×C22⋊C4semidirect
316. C2×D47#428semidirect
332. C2×#428D47semidirect
367. C2×#107C2×D47semidirect
369. C2×#106C2×D47semidirect
387. C47#20661semidirect
514. M16(C2×D47)⋊C4semidirect
626. C8C2×(C2×D47)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×M16×D472
C2×#156891652
#202457672
C2×#156889802
#202434222
#202434182
#202434142
#202434102
#202431092
#202431072
C2×C47×#4282
#2066147