Finite Group Databasebeta

← #25153723

Subgroups — #25153723

Order 11008.

990 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583182C211yesmaximal, characteristic, complemented
2#19138291C211yesmaximal, characteristic
3Q8×C22⋊Dic43C211yesmaximal, characteristic
4#19136136C211yesmaximal, characteristic, complemented
5#19135974C211yesmaximal, characteristic, complemented
6#19135972C211yesmaximal, characteristic, complemented
7#19135734C211yesmaximal, characteristic, complemented
8#19134865C211yesmaximal, characteristic, complemented
9#19134861C211yesmaximal, characteristic, complemented
10#19134788C211yesmaximal, characteristic
11#19134773C211yesmaximal, characteristic
12#19134620C211yesmaximal, characteristic
13#19134598C211yesmaximal, characteristic, complemented
14#19134530C211yesmaximal, characteristic
15C22×#103×C43C211yesmaximal, characteristic
16C2×#13063324C2211yescharacteristic
17C2×#13063304—21no—
18C2×Q8×Dic43C2211yescharacteristic
19C2×Q8×Dic43C2211yescharacteristic
20#14583182—24no—
21C2×#13063257C2211yescharacteristic
22C2×#13063257C2211yescharacteristic
23C2×#13063256C2211yescharacteristic
24C2×#13063256C2211yescharacteristic
25C2×Dic43⋊C8C2211yescharacteristic
26C2×Dic43⋊C8C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063249C2211yescharacteristic
29C2×#13063249C2211yescharacteristic
30C2×#13063249C2211yescharacteristic
31C2×C22⋊(C43⋊C8)C2211yescharacteristic
32#14582832—21no—
33#14582819—21no—
34#14582806—21no—
35#14582806—21no—
36#14582806C2211yescharacteristic
37#14582806C2211yescharacteristic
38#14582798C2211yescharacteristic
39#14582795C2211yescharacteristic
40#14582772—21no—
41#14582768C2211yescharacteristic
42#14582759—21no—
43#14582759C2211yescharacteristic
44#14582759C2211yescharacteristic
45C4×C22⋊Dic43—21no—
46C4×C22⋊Dic43C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C23×Q8×C43C2211yescharacteristic
54C23×C8×C43C2211yescharacteristic
55C22×C4⋊C4×C43C2211yescharacteristic
56C2×#103×C43—24no—
57C2×#103×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×#103×C43C2211yescharacteristic
61C22×Dic86—21no—
62C22×C43⋊C8C2311yescharacteristic
63C22×C43⋊C8C2311yescharacteristic
64#13063324—22no—
65#13063324—41no—
66#13063304—44no—
67Q8×Dic43—22no—
68Q8×Dic43—22no—
69Q8×Dic43—41no—
70Q8×Dic43—41no—
71C2×C4⋊Dic43—21no—
72C2×C4⋊Dic43—21no—
73C2×C4⋊Dic43—21no—
74C2×C4⋊Dic43C2311yescharacteristic
75C2×C4⋊Dic43C2311yescharacteristic
76C2×C4⋊Dic43C2311yescharacteristic
77C2×C4⋊Dic43C2311yescharacteristic
78C2×Dic43⋊C4—21no—
79C2×Dic43⋊C4—21no—
80C2×Dic43⋊C4—21no—
81C2×Dic43⋊C4—21no—
82C2×C22⋊Dic43—21no—
83C2×C22⋊Dic43—21no—
84C2×C22⋊Dic43D411yescharacteristic
85C2×C22⋊Dic43D411yescharacteristic
86C2×C4×Dic43—21no—
87C2×C4×Dic43—21no—
88C2×C4×Dic43C2311yescharacteristic
89C2×C4×Dic43C2311yescharacteristic
90#13063257—22no—
91#13063257—41no—
92#13063256—22no—
93#13063256—41no—
94Dic43⋊C8—22no—
95Dic43⋊C8—41no—
96#13063249—22no—
97#13063249—22no—
98#13063249—41no—
99#13063249—41no—
100C22⋊(C43⋊C8)—22no—
101C43⋊#95—21no—
102C43⋊#95—21no—
103C43⋊#95—21no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95D411yescharacteristic
110C43⋊#95D411yescharacteristic
111C22×Q8×C43—21no—
112C22×Q8×C43—22no—
113C22×Q8×C43—22no—
114C22×Q8×C43—22no—
115C22×Q8×C43—41no—
116C22×Q8×C43—41no—
117C22×Q8×C43Q814yescomplemented
118C22×Q8×C43C2311yescharacteristic
119C22×Q8×C43C2311yescharacteristic
120C23×C4×C43—21no—
121C23×C4×C43—21no—
122C23×C4×C43C2311yescharacteristic
123C22×C8×C43—22no—
124C22×C8×C43—22no—
125C22×C8×C43—41no—
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C2×C4⋊C4×C43—22no—
129C2×C4⋊C4×C43—21no—
130C2×C4⋊C4×C43—41no—
131C2×C4⋊C4×C43C2311yescharacteristic
132C2×C4⋊C4×C43C2311yescharacteristic
133#103×C43—22no—
134#103×C43—22no—
135#103×C43—22no—
136#103×C43D414yes—
137C24×C43C2×D411yescharacteristic
138C2×Q8×C43—24no—
139C2×Q8×C43—21no—
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—28no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—42no—
149C2×Q8×C43—42no—
150C2×Q8×C43—44no—
151C2×Q8×C43—44no—
152C2×Q8×C43—44no—
153C2×Q8×C43C2×D412yes—
154C2×Q8×C43C2×Q812yes—
155C2×Q8×C43C2×Q812yes—
156C2×Q8×C43#4112yes—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—21no—
161C22×C4×C43—24no—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—42no—
167C22×C4×C43—42no—
168C22×C4×C43—42no—
169C22×C4×C43—42no—
170C22×C4×C43—81no—
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2×Q812yes—
173C22×C4×C43#4112yes—
174C22×C4×C43C2411yescharacteristic
175C22×Dic43—21no—
176C22×Dic43—21no—
177C22×Dic43—21no—
178C22×Dic43—21no—
179C22×Dic43C2×D411yescharacteristic
180C22×Dic43C2×D411yescharacteristic
181C22×Dic43C2×D411yescharacteristic
182C22×Dic43C2×D411yescharacteristic
183C2×Dic86—42no—
184C2×Dic86—42no—
185C2×Dic86—81no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—44no—
192C2×C8×C43C2×D412yes—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—42no—
197C4⋊C4×C43C2×D412yes—
198C22⋊Dic43—22no—
199C22⋊Dic43—42no—
200C22⋊Dic43—42no—
201C22⋊Dic43SD1614yes—
202C4⋊Dic43—21no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—42no—
211C4⋊Dic43—42no—
212C4⋊Dic43—42no—
213Dic43⋊C4—42no—
214Dic43⋊C4—42no—
215Dic43⋊C4—42no—
216Dic43⋊C4—81no—
217C4×Dic43—21no—
218C4×Dic43—21no—
219C4×Dic43—21no—
220C4×Dic43—21no—
221C4×Dic43—42no—
222C4×Dic43—42no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C23×C43—21no—
230C23×C43—21no—
231C23×C43—21no—
232C23×C43—21no—
233C23×C43C22⋊Q812yes—
234C23×C43C2×SD1612yes—
235C23×C43#13712yes—
236C23×C43C22×D411yescharacteristic
237Q8×C43—22no—
238Q8×C43—22no—
239Q8×C43—22no—
240Q8×C43—22no—
241Q8×C43—22no—
242Q8×C43—48no—
243Q8×C43—41no—
244Q8×C43—41no—
245Q8×C43C22⋊Q814yescomplemented
246C2×C4×C43—22no—
247C2×C4×C43—22no—
248C2×C4×C43—21no—
249C2×C4×C43—22no—
250C2×C4×C43—21no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—48no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—84no—
266C2×C4×C43C22⋊Q812yes—
267C2×C4×C43C22×D411yescharacteristic
268C2×C4×C43C22×Q811yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C2×C4×C43H(5,𝔽2)11yescharacteristic
272C2×C4×C43H(5,𝔽2)11yescharacteristic
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43C2×SD1612yes—
296C2×Dic43C2×SD1612yes—
297Dic86—84no—
298C8×C43—22no—
299C8×C43—41no—
300C43⋊C8—41no—
301C43⋊C8—41no—
302#25955—431nomaximal, Sylow
303C22×C43—22no—
304C22×C43—22no—
305C22×C43—22no—
306C22×C43—22no—
307C22×C43—22no—
308C22×C43—22no—
309C22×C43#47514yescomplemented
310C22×C43C2×C22⋊Q811yescharacteristic
311C22×C43D4211yescharacteristic
312C22×C43#54611yescharacteristic
313C22×C43C22×SD1611yescharacteristic
314C22×C43C2×#13711yescharacteristic
315C22×C43#57711yescharacteristic
316C22×C43#57811yescharacteristic
317C4×C43—22no—
318C4×C43—24no—
319C4×C43—42no—
320C4×C43—42no—
321C4×C43—81no—
322C4×C43C2×C22⋊Q811yescharacteristic
323C4×C43#54311yescharacteristic
324C4×C43#54611yescharacteristic
325C4×C43#55111yescharacteristic
326Dic43—22no—
327Dic43—22no—
328Dic43—41no—
329Dic43—41no—
330Dic43—81no—
331Dic43—81no—
332Dic43—81no—
333Dic43—81no—
334C2×#475—431no—
335C22×#103D4311yescharacteristic
336#2440—431no—
337Q8×C22⋊C4—431no—
338#2096—431no—
339#2066—431no—
340#2066—431no—
341#2024—431no—
342#1865—431no—
343#1865—431no—
344#1853—431no—
345#1850—431no—
346#1807—431no—
347#1803—431no—
348#1787—431no—
349C2×C43—24no—
350C2×C43#243711yescharacteristic
351C2×C43C2×#47511yescharacteristic
352C2×C43#308211yescharacteristic
353C2×C43#327011yescharacteristic
354C2×C43D4×SD1611yescharacteristic
355C2×C43#329811yescharacteristic
356C2×C43#331611yescharacteristic
357C23×Q8C2×D4311yescharacteristic
358C23×C8C2×D4311yescharacteristic
359C2×C4⋊Q8—431no—
360C2×C22⋊Q8—861no—
361C2×C4×Q8—431no—
362C2×C4×Q8—431no—
363C22×C4⋊C4C2×D4311yescharacteristic
364#475—864no—
365C2×#106—431no—
366C2×#106—431no—
367C2×#106—431no—
368C2×#106—431no—
369C2×C4⋊C8—431no—
370C2×C4⋊C8—431no—
371C2×#103—24no—
372C2×#103—431no—
373C2×#103—431no—
374C2×#103—431no—
375C2×#103—431no—
376C2×#103C2×D4311yescharacteristic
377C2×#103C2×D4311yescharacteristic
378C2×#103C2×D4311yescharacteristic
379C2×#103C2×D4311yescharacteristic
380C2×C22⋊C8—431no—
381#398—861no—
382#395—861no—
383#391—431no—
384#391—431no—
385#391—861no—
386#391—861no—
387#389—431no—
388#389—431no—
389#385—861no—
390#384—431no—
391#380—431no—
392#380—431no—
393#380—861no—
394C4×C22⋊C4—431no—
395C4×C22⋊C4—861no—
396#340—431no—
397#340—431no—
398#340—431no—
399#340—431no—
400#336—431no—
401#336—431no—
402C43#2595511yescharacteristic, complemented, Sylow
403C22×Q8—21no—
404C22×Q8—22no—
405C22×Q8—22no—
406C22×Q8—22no—
407C22×Q8—41no—
408C22×Q8—41no—
409C22×Q8—861no—
410C22×Q8Dic8614yescomplemented
411C22×Q8C22×D4311yescharacteristic
412C22×Q8C22×D4311yescharacteristic
413C23×C4—21no—
414C23×C4—21no—
415C23×C4C22×D4311yescharacteristic
416C22×C8—22no—
417C22×C8—22no—
418C22×C8—41no—
419C22×C8—431no—
420C22×C8—431no—
421C22×C8C22×D4311yescharacteristic
422C22×C8C22×D4311yescharacteristic
423C4⋊Q8—862no—
424C4⋊Q8—1721no—
425C22⋊Q8—1724no—
426C4×Q8—862no—
427C4×Q8—862no—
428C4×Q8—1721no—
429C4×Q8—1721no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—41no—
433C2×C4⋊C4—431no—
434C2×C4⋊C4—431no—
435C2×C4⋊C4—431no—
436C2×C4⋊C4—431no—
437C2×C4⋊C4—861no—
438C2×C4⋊C4—861no—
439C2×C4⋊C4—861no—
440C2×C4⋊C4—861no—
441C2×C4⋊C4—861no—
442C2×C4⋊C4—861no—
443C2×C4⋊C4—861no—
444C2×C4⋊C4C22×D4311yescharacteristic
445C2×C4⋊C4C22×D4311yescharacteristic
446C2×C22⋊C4—431no—
447C2×C22⋊C4—431no—
448C2×C22⋊C4—861no—
449C2×C22⋊C4—861no—
450C2×C42—431no—
451C2×C42—431no—
452C2×C42—861no—
453C2×C42—861no—
454#106—862no—
455#106—862no—
456#106—1721no—
457#106—1721no—
458C4⋊C8—862no—
459C4⋊C8—1721no—
460#103—22no—
461#103—22no—
462#103—22no—
463#103—862no—
464#103—862no—
465#103—1721no—
466#103—1721no—
467#103C22⋊D4314yes—
468C22⋊C8—862no—
469#95—431no—
470#95—431no—
471#95—861no—
472#95—861no—
473#95—861no—
474#95—861no—
475#95—861no—
476#95—861no—
477#95—861no—
478#95—861no—
479C24D4×D4311yescharacteristic
480C2×Q8—24no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—28no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—42no—
491C2×Q8—42no—
492C2×Q8—44no—
493C2×Q8—44no—
494C2×Q8—44no—
495C2×Q8—3441no—
496C2×Q8—1722no—
497C2×Q8—1722no—
498C2×Q8C2×Dic8612yes—
499C2×Q8C2×Dic8612yes—
500C2×Q8#1062189812yes—
501C2×Q8C2×C22⋊D4312yes—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—24no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—81no—
516C22×C4—431no—
517C22×C4—431no—
518C22×C4—431no—
519C22×C4—431no—
520C22×C4—861no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4C2×Dic8612yes—
525C22×C4D4×D4311yescharacteristic
526C22×C4#1062190012yes—
527C22×C4C23×D4311yescharacteristic
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—44no—
534C2×C8—861no—
535C2×C8—861no—
536C2×C8—861no—
537C2×C8—861no—
538C2×C8—861no—
539C2×C8—861no—
540C2×C8C2×C22⋊D4312yes—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—42no—
545C4⋊C4—861no—
546C4⋊C4—861no—
547C4⋊C4—861no—
548C4⋊C4—861no—
549C4⋊C4—861no—
550C4⋊C4—861no—
551C4⋊C4—861no—
552C4⋊C4—861no—
553C4⋊C4—3441no—
554C4⋊C4—1722no—
555C4⋊C4—1722no—
556C4⋊C4—1722no—
557C4⋊C4—1722no—
558C4⋊C4—1722no—
559C4⋊C4—1722no—
560C4⋊C4C2×C22⋊D4312yes—
561C22⋊C4—434no—
562C22⋊C4—862no—
563C22⋊C4—1722no—
564C22⋊C4—1722no—
565C42—861no—
566C42—861no—
567C42—861no—
568C42—861no—
569C42—1722no—
570C42—1722no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23#1306330212yes—
576C23SD16×D4312yes—
577C23#1306335712yes—
578C23C2×D4×D4311yescharacteristic
579Q8—22no—
580Q8—22no—
581Q8—22no—
582Q8—22no—
583Q8—22no—
584Q8—48no—
585Q8—41no—
586Q8—41no—
587Q8—3444no—
588Q8#1306330414yescomplemented
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—21no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—48no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—84no—
609C2×C4—432no—
610C2×C4—432no—
611C2×C4—861no—
612C2×C4—861no—
613C2×C4—861no—
614C2×C4—861no—
615C2×C4—861no—
616C2×C4—861no—
617C2×C4—861no—
618C2×C4—861no—
619C2×C4—861no—
620C2×C4—861no—
621C2×C4—1721no—
622C2×C4—1721no—
623C2×C4—1721no—
624C2×C4—1721no—
625C2×C4—1721no—
626C2×C4—1721no—
627C2×C4—1721no—
628C2×C4—1721no—
629C2×C4—1721no—
630C2×C4—1721no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4#1306330212yes—
634C2×C4C22×C22⋊D4311yescharacteristic
635C2×C4C22×Dic8611yescharacteristic
636C2×C4C2×#1062190011yescharacteristic
637C2×C4C2×#1062189811yescharacteristic
638C2×C4#1306337011yescharacteristic
639C2×C4#1306337011yescharacteristic
640C8—22no—
641C8—41no—
642C8—1721no—
643C8—1721no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22#1458318214yescomplemented
651C22C2×#1306330211yescharacteristic
652C22D4×C22⋊D4311yescharacteristic
653C22#1458353911yescharacteristic
654C22C2×SD16×D4311yescharacteristic
655C22C2×#1306335711yescharacteristic
656C22#1458370511yescharacteristic
657C22#1458371211yescharacteristic
658C4—22no—
659C4—24no—
660C4—42no—
661C4—42no—
662C4—81no—
663C4—862no—
664C4—862no—
665C4—3441no—
666C4—3441no—
667C4—3441no—
668C4—3441no—
669C4—1721no—
670C4—1721no—
671C4C2×#1306330411yescharacteristic
672C4#1458352511yescharacteristic
673C4#1458354311yescharacteristic
674C4#1458357511yescharacteristic
675C2—24no—
676C2#1913825611yescharacteristic
677C2C2×#1458318211yescharacteristic
678C2#1914443311yescharacteristic
679C2#1914616511yescharacteristic
680C2SD16×C22⋊D4311yescharacteristic
681C2#1914645611yescharacteristic
682C2#1914670211yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC22×#103×C43C2
socleC23×C43C22×D4
prime radicalC24×C43C2×D4
hypercenterC22×#103D43
hypocenterC43#25955
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#103

Complements

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

NH ≅ G/Ntype
1. C2×#14583182C2semidirect
4. #19136136C2semidirect
5. #19135974C2semidirect
6. #19135972C2semidirect
7. #19135734C2semidirect
8. #19134865C2semidirect
9. #19134861C2semidirect
13. #19134598C2semidirect
117. C22×Q8×C43Q8semidirect
245. Q8×C43C22⋊Q8semidirect
309. C22×C43#475semidirect
402. C43#25955semidirect
410. C22×Q8Dic86semidirect
588. Q8#13063304semidirect
650. C22#14583182semidirect

Maximal subgroups

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

subgroupindex
C2×#145831822
#191382912
Q8×C22⋊Dic432
#191361362
#191359742
#191359722
#191357342
#191348652
#191348612
#191347882
#191347732
#191346202
#191345982
#191345302
C22×#103×C432
#2595543