Finite Group Databasebeta

← #33057403

Subgroups — #33057403

Order 18688.

794 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
1C4×D8×D73C211yesmaximal, characteristic
2#22618667C211yesmaximal, characteristic, complemented
3D4×#11924011C211yesmaximal, characteristic, complemented
4#22608814C211yesmaximal, characteristic, complemented
5#22608813C211yesmaximal, characteristic, complemented
6#22608762C211yesmaximal, characteristic, complemented
7#22608761C211yesmaximal, characteristic, complemented
8#22608759C211yesmaximal, characteristic, complemented
9C8×#11924013C211yesmaximal, characteristic, complemented
10#22608723C211yesmaximal, characteristic, complemented
11#22608688C211yesmaximal, characteristic, complemented
12#22608354C211yesmaximal, characteristic, complemented
13#22608354C211yesmaximal, characteristic, complemented
14#22608210C211yesmaximal, characteristic, complemented
15C73×#1581C211yesmaximal, characteristic, complemented
16C2×D8×D73C411yescharacteristic
17C22×#11924011—21no—
18C2×M16×D73—21no—
19C4×D4×D73C2211yescharacteristic
20C4×D4×D73C2211yescharacteristic
21C4×D584C2211yescharacteristic
22D8×Dic73C411yescharacteristic
23#17988669C411yescharacteristic
24C4×#11924013C2211yescharacteristic
25C4×#11924013C2211yescharacteristic
26#17988667C411yescharacteristic
27#17988667C411yescharacteristic
28#17988666C2211yescharacteristic, complemented
29#17988665C2211yescharacteristic, complemented
30#17988664C2211yescharacteristic, complemented
31#17988661—21no—
32#17988658—21no—
33#17988656—21no—
34#17988655—21no—
35C8×D292C2211yescharacteristic, complemented
36D4×#10596831C2211yescharacteristic, complemented
37#17988652C2211yescharacteristic, complemented
38#17988638C2211yescharacteristic
39#107×D73C411yescharacteristic
40#17988609C2211yescharacteristic
41#17988609C2211yescharacteristic
42#102×D73C411yescharacteristic
43#102×D73C411yescharacteristic
44#17988549—21no—
45#17988549—21no—
46C4×#11924011C2211yescharacteristic
47C4×C8×D73C2211yescharacteristic
48#17988340C2211yescharacteristic, complemented
49#17988339C2211yescharacteristic, complemented
50#17988339C2211yescharacteristic, complemented
51#17988316C2211yescharacteristic, complemented
52#17988316C2211yescharacteristic, complemented
53D4⋊#10596831C2211yescharacteristic, complemented
54D4⋊#10596831C2211yescharacteristic, complemented
55#17988314C2211yescharacteristic, complemented
56#17988314C2211yescharacteristic, complemented
57#17988309C2211yescharacteristic, complemented
58C8×#10596831C2211yescharacteristic, complemented
59C8×#10596831C2211yescharacteristic, complemented
60C4×D8×C73C2211yescharacteristic
61#436×C73C2211yescharacteristic, complemented
62C8×D4×C73C2211yescharacteristic, complemented
63#335×C73C2211yescharacteristic, complemented
64D4⋊C8×C73C2211yescharacteristic, complemented
65D4⋊C8×C73C2211yescharacteristic, complemented
66#322×C73C2211yescharacteristic, complemented
67C2×D4×D73C2×C411yescharacteristic
68C2×D4×D73C2×C411yescharacteristic
69C22×C4×D73—21no—
70C22×C4×D73—21no—
71C2×D584C2×C411yescharacteristic
72C2×#11924013C2×C411yescharacteristic
73C2×#11924013C2×C411yescharacteristic
74D8×D73—24no—
75C2×#11924012—21no—
76C2×#11924011—21no—
77C2×#11924011—21no—
78C2×#11924011—21no—
79C2×#11924011—21no—
80C2×#11924011—44no—
81C2×#11924011D411yescharacteristic
82C2×#11924011D411yescharacteristic
83M16×D73—44no—
84C22×#10596831—21no—
85C2×C8×D73—21no—
86C2×C8×D73—21no—
87C2×C8×D73C2×C411yescharacteristic
88C2×C8×D73C2×C411yescharacteristic
89C4×D292C2311yescharacteristic
90C4×D292C2311yescharacteristic
91D4×Dic73C2×C411yescharacteristic
92D4×Dic73C2×C411yescharacteristic
93#14556553C2×C411yescharacteristic
94#14556553C2×C411yescharacteristic
95C4×C22⋊D73—21no—
96C4×C22⋊D73—21no—
97#14556551—21no—
98#14556551—21no—
99C4⋊C4×D73C2×C411yescharacteristic
100C4⋊C4×D73C2×C411yescharacteristic
101C22⋊C4×D73—21no—
102C22⋊C4×D73—21no—
103C42×D73C2311yescharacteristic
104#14556525C2×C411yescharacteristic
105#14556524C2×C411yescharacteristic
106#14556524C2×C411yescharacteristic
107C4⋊#10596831C2311yescharacteristic
108C4⋊#10596831C2311yescharacteristic
109#14556520—21no—
110#14556520—21no—
111#14556520—21no—
112#14556513C2×C411yescharacteristic
113#14556513C2×C411yescharacteristic
114#14556512C2×C411yescharacteristic
115#14556512C2×C411yescharacteristic
116#14556511C2×C411yescharacteristic
117#14556511C2×C411yescharacteristic
118C22⋊#10596831—21no—
119C22⋊#10596831—21no—
120#14556503—21no—
121#14556503—21no—
122#14556503—21no—
123#14556503—21no—
124#14556503—21no—
125#14556501D411yescharacteristic
126#14556501D411yescharacteristic
127C4×#10596831C2311yescharacteristic
128C4×#10596831C2311yescharacteristic
129C4×#10596831C2311yescharacteristic
130C8×Dic73C2×C411yescharacteristic
131C8×Dic73C2×C411yescharacteristic
132C2×D8×C73C2×C411yescharacteristic
133C2×M16×C73—21no—
134C22×C8×C73—21no—
135C4×D4×C73C2311yescharacteristic
136C4×D4×C73C2311yescharacteristic
137#107×C73C2×C411yescharacteristic
138C4⋊C8×C73C2311yescharacteristic
139C4⋊C8×C73C2311yescharacteristic
140#102×C73C2×C411yescharacteristic
141#102×C73C2×C411yescharacteristic
142C22⋊C8×C73—21no—
143C22⋊C8×C73—21no—
144C4×C8×C73C2311yescharacteristic
145C4×C8×C73C2311yescharacteristic
146C4×C8×C73C2311yescharacteristic
147C23×D73—21no—
148C23×D73—21no—
149C2×D292C22×C411yescharacteristic
150C2×D292C22×C411yescharacteristic
151C2×C22⋊D73—21no—
152C2×C22⋊D73—21no—
153D4×D73—22no—
154D4×D73—22no—
155D4×D73—41no—
156D4×D73—41no—
157C22×Dic73—21no—
158C22×Dic73—21no—
159C2×C4×D73—21no—
160C2×C4×D73—21no—
161C2×C4×D73—21no—
162C2×C4×D73—21no—
163C2×C4×D73—21no—
164C2×C4×D73—21no—
165C2×C4×D73—42no—
166C2×C4×D73—42no—
167C2×C4×D73—42no—
168C2×C4×D73—42no—
169C2×C4×D73C22×C411yescharacteristic
170C2×C4×D73C2×D411yescharacteristic
171C2×C4×D73#4111yescharacteristic
172D584—22no—
173#11924013—22no—
174#11924013M1614yescomplemented
175#11924012—42no—
176#11924011—22no—
177#11924011—42no—
178#11924011—42no—
179#11924011—42no—
180#11924011—42no—
181#11924011D814yescomplemented
182C2×#10596831—21no—
183C2×#10596831—21no—
184C2×#10596831—21no—
185C2×#10596831—42no—
186C2×#10596831C22×C411yescharacteristic
187C2×#10596831C22×C411yescharacteristic
188C2×#10596831C2×D411yescharacteristic
189C2×#10596831C2×D411yescharacteristic
190C8×D73—22no—
191C8×D73—41no—
192C8×D73—42no—
193C8×D73—42no—
194C4⋊Dic73C22×C411yescharacteristic
195C4⋊Dic73C22×C411yescharacteristic
196#11924007—21no—
197#11924007—21no—
198C22⋊Dic73—21no—
199C22⋊Dic73—21no—
200#11924005—21no—
201#11924005—21no—
202#11924005—21no—
203#11924005—21no—
204C4×Dic73C22×C411yescharacteristic
205C4×Dic73C2×D411yescharacteristic
206C4×Dic73#4111yescharacteristic
207C2×D4×C73C22×C411yescharacteristic
208C2×D4×C73C22×C411yescharacteristic
209C22×C4×C73—21no—
210C22×C4×C73—21no—
211D8×C73—22no—
212M16×C73—42no—
213C2×C8×C73—21no—
214C2×C8×C73—21no—
215C2×C8×C73—21no—
216C2×C8×C73—42no—
217C2×C8×C73C22×C411yescharacteristic
218C2×C8×C73C22×C411yescharacteristic
219C2×C8×C73C2×D411yescharacteristic
220C2×C8×C73C2×D411yescharacteristic
221C4⋊C4×C73C22×C411yescharacteristic
222C4⋊C4×C73C22×C411yescharacteristic
223C22⋊C4×C73—21no—
224C22⋊C4×C73—21no—
225C42×C73C2411yescharacteristic
226C23×C73—21no—
227C23×C73—21no—
228C22×D73—21no—
229C22×D73—21no—
230C22×D73—42no—
231C22×D73—42no—
232C22×D73—42no—
233C22×D73—42no—
234C22×D73—81no—
235C22×D73—81no—
236C22×D73C4×D411yescharacteristic
237D4×C73—21no—
238D4×C73—21no—
239D4×C73—21no—
240D4×C73C2×M1612yescomplemented
241C2×C4×C73—21no—
242C2×C4×C73—21no—
243C2×C4×C73—41no—
244C2×C4×C73—41no—
245C2×C4×C73—41no—
246C2×C4×C73—41no—
247C2×C4×C73C23×C411yescharacteristic
248C2×C4×C73C22×D411yescharacteristic
249C2×C4×C73C2×#4111yescharacteristic
250C22⋊D73—42no—
251C22⋊D73—42no—
252C2×Dic73—21no—
253C2×Dic73—21no—
254C2×Dic73—42no—
255C2×Dic73—42no—
256C2×Dic73C4×D411yescharacteristic
257C2×Dic73C4×D411yescharacteristic
258C2×Dic73C4×D411yescharacteristic
259D292—21no—
260D292—21no—
261D292—21no—
262D292C2×M1612yescomplemented
263C4×D73—21no—
264C4×D73—21no—
265C4×D73—41no—
266C4×D73—42no—
267C4×D73—42no—
268C4×D73—41no—
269C4×D73—41no—
270C4×D73—41no—
271C4×D73—41no—
272C4×D73—42no—
273C4×D73—42no—
274C4×D73C2×D812yes—
275C4×D73#13512yes—
276C8×C73—21no—
277C8×C73—21no—
278C8×C73—21no—
279C8×C73—41no—
280C8×C73—41no—
281C8×C73—41no—
282C8×C73C2×D812yescomplemented
283#10596831—21no—
284#10596831—21no—
285#10596831—41no—
286#10596831—41no—
287#10596831—41no—
288#10596831C2×M1612yescomplemented
289#10596831C2×D812yescomplemented
290C22×C73—22no—
291C22×C73—41no—
292C22×C73—41no—
293C22×C73—41no—
294C22×C73—41no—
295C22×C73—41no—
296C22×C73C2×C4×D411yescharacteristic
297C2×D73—21no—
298C2×D73—21no—
299C2×D73—22no—
300C2×D73—41no—
301C2×D73—41no—
302C2×D73—41no—
303C2×D73—41no—
304C2×D73—41no—
305C2×D73—84no—
306C2×D73—84no—
307C2×D73C4×D812yes—
308C4×C73—21no—
309C4×C73—41no—
310C4×C73—41no—
311C4×C73C22×M1611yescharacteristic
312C4×C73#56811yescharacteristic
313C4×C73C22×D811yescharacteristic
314C4×C73C2×#13511yescharacteristic
315Dic73—21no—
316Dic73—21no—
317Dic73—41no—
318Dic73—41no—
319Dic73C4×D812yes—
320M16×D8—731nomaximal, Sylow
321C2×C73—42no—
322C2×C73—81no—
323C2×C73D4×M1611yescharacteristic
324C2×C73C2×C4×D811yescharacteristic
325C2×C73#295711yescharacteristic
326D73—22no—
327D73—42no—
328D73—81no—
329C2×C4×D8—731no—
330D4×M16—731no—
331D4×M16—731no—
332#1589—731no—
333#1589—731no—
334#1581—731no—
335#1581—731no—
336#1581—731no—
337#1581D7311yescharacteristic, complemented
338C8×D8—731no—
339C8×D8—731no—
340#1567—731no—
341#1486—731no—
342#1486—731no—
343C8×M16—731no—
344C73M16×D811yescharacteristic, complemented, Sylow
345C22×D8—731no—
346C22×M16—1461no—
347C22×M16—1461no—
348C2×C4×D4—731no—
349C2×C4×D4—731no—
350C4×D8—731no—
351C4×D8—731no—
352C4×D8—731no—
353C4×D8—731no—
354C4×D8—731no—
355C4×D8—731no—
356C4×D8—731no—
357C4×D8C2×D7311yescharacteristic
358#436—731no—
359#436—731no—
360#436—731no—
361#436C2×D7311yescharacteristic, complemented
362#435—1461no—
363#435—1461no—
364#435—1461no—
365#435—1461no—
366C8×D4—731no—
367C8×D4—731no—
368C8×D4—731no—
369C8×D4C2×D7311yescharacteristic, complemented
370#431—731no—
371C2×#107—731no—
372#423—731no—
373#423—731no—
374C2×#102—731no—
375C2×#102—731no—
376#407—1461no—
377#407—1461no—
378C4×M16—731no—
379C2×C4×C8—731no—
380#335—731no—
381#335—731no—
382#335—731no—
383#335C2×D7311yescharacteristic, complemented
384D4⋊C8—731no—
385D4⋊C8—731no—
386D4⋊C8—731no—
387D4⋊C8—731no—
388D4⋊C8—731no—
389D4⋊C8—731no—
390D4⋊C8C2×D7311yescharacteristic, complemented
391D4⋊C8C2×D7311yescharacteristic, complemented
392#322—731no—
393#322C2×D7311yescharacteristic, complemented
394C82—731no—
395C82—731no—
396C22×D4—731no—
397C22×D4—731no—
398C23×C4—1461no—
399C23×C4—1461no—
400C2×D8—731no—
401C2×D8—731no—
402C2×D8—731no—
403C2×D8—1464no—
404C2×D8C4×D7311yescharacteristic
405C2×M16—21no—
406C2×M16—2924no—
407C2×M16—2924no—
408C2×M16—731no—
409C2×M16—731no—
410C2×M16—1461no—
411C2×M16—1461no—
412C2×M16—1461no—
413C2×M16—1461no—
414C2×M16—1461no—
415C22×C8—21no—
416C22×C8—731no—
417C22×C8—731no—
418C22×C8—1461no—
419C22×C8—1461no—
420C22×C8—1461no—
421C4×D4—731no—
422C4×D4—731no—
423C4×D4—731no—
424C4×D4—731no—
425C4×D4—731no—
426C4×D4—731no—
427C4×D4—1461no—
428C4×D4—1461no—
429C4×D4—1461no—
430C4×D4—1461no—
431C4×D4C22×D7311yescharacteristic
432C4×D4C22×D7311yescharacteristic
433C2×C4⋊C4—731no—
434C2×C4⋊C4—731no—
435C2×C22⋊C4—1461no—
436C2×C22⋊C4—1461no—
437C2×C42—731no—
438#107—731no—
439#107—731no—
440#107—731no—
441#107C4×D7311yescharacteristic
442C4⋊C8—731no—
443C4⋊C8—731no—
444C4⋊C8—1461no—
445C4⋊C8—1461no—
446C4⋊C8—1461no—
447C4⋊C8C22×D7311yescharacteristic
448C4⋊C8C22×D7311yescharacteristic
449#102—731no—
450#102—731no—
451#102—731no—
452#102—731no—
453#102—731no—
454#102—731no—
455#102C4×D7311yescharacteristic
456#102C4×D7311yescharacteristic
457C22⋊C8—21no—
458C22⋊C8—21no—
459C22⋊C8—1461no—
460C22⋊C8—1461no—
461C22⋊C8—1461no—
462C22⋊C8—1461no—
463C22⋊C8—1461no—
464C22⋊C8—1461no—
465C22⋊C8—1461no—
466#97—731no—
467#97—731no—
468C4×C8—731no—
469C4×C8—731no—
470C4×C8—731no—
471C4×C8—731no—
472C4×C8—731no—
473C4×C8C22×D7311yescharacteristic
474C4×C8C22×D7311yescharacteristic
475C4×C8C22×D7311yescharacteristic
476C24—1461no—
477C24—1461no—
478C2×D4—2921no—
479C2×D4—2921no—
480C2×D4—731no—
481C2×D4—731no—
482C2×D4—1461no—
483C2×D4—1461no—
484C2×D4—1462no—
485C2×D4—1462no—
486C2×D4C2×C4×D7311yescharacteristic
487C2×D4C2×C4×D7311yescharacteristic
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—2922no—
491C22×C4—2922no—
492C22×C4—2922no—
493C22×C4—2922no—
494C22×C4—731no—
495C22×C4—731no—
496C22×C4—731no—
497C22×C4—1461no—
498C22×C4—1461no—
499C22×C4—1461no—
500C22×C4—1461no—
501C22×C4—1461no—
502C22×C4—1461no—
503C22×C4—1461no—
504C22×C4—1461no—
505D8—22no—
506D8—734no—
507D8—1462no—
508D8—1462no—
509M16—42no—
510M16—2922no—
511M16—2922no—
512M16—2922no—
513M16—2922no—
514M16—2922no—
515M16—734no—
516M16—1462no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—42no—
521C2×C8—2921no—
522C2×C8—2922no—
523C2×C8—2922no—
524C2×C8—2922no—
525C2×C8—731no—
526C2×C8—731no—
527C2×C8—731no—
528C2×C8—731no—
529C2×C8—1462no—
530C2×C8—1461no—
531C2×C8—1461no—
532C2×C8—1461no—
533C2×C8C2×C4×D7311yescharacteristic
534C2×C8C2×C4×D7311yescharacteristic
535C2×C8D4×D7311yescharacteristic
536C2×C8D4×D7311yescharacteristic
537C4⋊C4—731no—
538C4⋊C4—731no—
539C4⋊C4—1461no—
540C4⋊C4—1461no—
541C4⋊C4C2×C4×D7311yescharacteristic
542C4⋊C4C2×C4×D7311yescharacteristic
543C22⋊C4—21no—
544C22⋊C4—21no—
545C22⋊C4—1461no—
546C22⋊C4—1461no—
547C22⋊C4—1461no—
548C22⋊C4—1461no—
549C22⋊C4—1461no—
550C22⋊C4—1461no—
551C42—731no—
552C42—731no—
553C42—731no—
554C42C23×D7311yescharacteristic
555C23—21no—
556C23—21no—
557C23—2922no—
558C23—2922no—
559C23—2922no—
560C23—2922no—
561C23—5841no—
562C23—5841no—
563C23—731no—
564C23—1461no—
565C23—1461no—
566D4—21no—
567D4—21no—
568D4—21no—
569D4—2922no—
570D4—2922no—
571D4—732no—
572D4—1461no—
573D4—1461no—
574D4—1461no—
575D4M16×D7312yescomplemented
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—2921no—
583C2×C4—2922no—
584C2×C4—2922no—
585C2×C4—2922no—
586C2×C4—2922no—
587C2×C4—2922no—
588C2×C4—2922no—
589C2×C4—2921no—
590C2×C4—2921no—
591C2×C4—2921no—
592C2×C4—2921no—
593C2×C4—731no—
594C2×C4—732no—
595C2×C4—732no—
596C2×C4—731no—
597C2×C4—731no—
598C2×C4—1461no—
599C2×C4—1461no—
600C2×C4—1461no—
601C2×C4—1461no—
602C2×C4C22×C4×D7311yescharacteristic
603C2×C4C2×D4×D7311yescharacteristic
604C2×C4#41×D7311yescharacteristic
605C8—21no—
606C8—21no—
607C8—21no—
608C8—41no—
609C8—41no—
610C8—41no—
611C8—2921no—
612C8—2921no—
613C8—2921no—
614C8—732no—
615C8—732no—
616C8—1461no—
617C8—1461no—
618C8D8×D7312yescomplemented
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—2921no—
626C22—2921no—
627C22—2921no—
628C22—2921no—
629C22—2921no—
630C22—5844no—
631C22—5844no—
632C22—732no—
633C22—1462no—
634C22—1461no—
635C22—1461no—
636C22C4×D4×D7311yescharacteristic
637C4—21no—
638C4—41no—
639C4—41no—
640C4—2921no—
641C4—2921no—
642C4—732no—
643C4—1461no—
644C4—1461no—
645C4C2×M16×D7311yescharacteristic
646C4#1798935211yescharacteristic
647C4C2×D8×D7311yescharacteristic
648C4#135×D7311yescharacteristic
649C2—42no—
650C2—81no—
651C2—2922no—
652C2—5841no—
653C2—1462no—
654C2#2261866411yescharacteristic
655C2C4×D8×D7311yescharacteristic
656C2#2261884511yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC42C23×D73
FittingC73×#1581C2
socleC22×C73C2×C4×D4
prime radicalC2×D8×D73C4
cosocleC42×C73C24
hypercenter#1581D73
hypocenterC73M16×D8
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C4×C8 ◁ #1581

Complements

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

NH ≅ G/Ntype
2. #22618667C2semidirect
3. D4×#11924011C2semidirect
4. #22608814C2semidirect
5. #22608813C2semidirect
6. #22608762C2semidirect
7. #22608761C2semidirect
8. #22608759C2semidirect
9. C8×#11924013C2semidirect
10. #22608723C2semidirect
11. #22608688C2semidirect
12. #22608354C2semidirect
13. #22608354C2semidirect
14. #22608210C2semidirect
15. C73×#1581C2semidirect
28. #17988666C22semidirect
29. #17988665C22semidirect
30. #17988664C22semidirect
35. C8×D292C22semidirect
36. D4×#10596831C22semidirect
37. #17988652C22semidirect
48. #17988340C22semidirect
49. #17988339C22semidirect
50. #17988339C22semidirect
51. #17988316C22semidirect
52. #17988316C22semidirect
53. D4⋊#10596831C22semidirect
54. D4⋊#10596831C22semidirect
55. #17988314C22semidirect
56. #17988314C22semidirect
57. #17988309C22semidirect
58. C8×#10596831C22semidirect
59. C8×#10596831C22semidirect
61. #436×C73C22semidirect
62. C8×D4×C73C22semidirect
63. #335×C73C22semidirect
64. D4⋊C8×C73C22semidirect
65. D4⋊C8×C73C22semidirect
66. #322×C73C22semidirect
174. #11924013M16semidirect
181. #11924011D8semidirect
240. D4×C73C2×M16semidirect
262. D292C2×M16semidirect
282. C8×C73C2×D8semidirect
288. #10596831C2×M16semidirect
289. #10596831C2×D8semidirect
337. #1581D73semidirect
344. C73M16×D8semidirect
361. #436C2×D73semidirect
369. C8×D4C2×D73semidirect
383. #335C2×D73semidirect
390. D4⋊C8C2×D73semidirect
391. D4⋊C8C2×D73semidirect
393. #322C2×D73semidirect
575. D4M16×D73semidirect
618. C8D8×D73semidirect

Maximal subgroups

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

subgroupindex
C4×D8×D732
#226186672
D4×#119240112
#226088142
#226088132
#226087622
#226087612
#226087592
C8×#119240132
#226087232
#226086882
#226083542
#226082102
C73×#15812
M16×D873