Finite Group Databasebeta

← #25140532

Subgroups — #25140532

Order 11008.

940 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583055C211yesmaximal, characteristic
2C2×C4×#10621885C211yesmaximal, characteristic, complemented
3#19138120C211yesmaximal, characteristic
4#19136133C211yesmaximal, characteristic, complemented
5#19136026C211yesmaximal, characteristic
6#19135917C211yesmaximal, characteristic, complemented
7#19135798C211yesmaximal, characteristic
8#19135274C211yesmaximal, characteristic, complemented
9#19135203C211yesmaximal, characteristic
10#19134939C211yesmaximal, characteristic, complemented
11#19134936C211yesmaximal, characteristic, complemented
12#19134849C211yesmaximal, characteristic, complemented
13#19134600C211yesmaximal, characteristic, complemented
14#19134530C211yesmaximal, characteristic
15Q8×C22⋊C4×C43C211yesmaximal, characteristic
16C22×#10621885C2211yescharacteristic
17C22×#10621885C2211yescharacteristic
18C2×#13063304C2211yescharacteristic
19C2×C4×Dic86C2211yescharacteristic
20#14583055—24no—
21C4×#10621885—24no—
22C2×#13063258C2211yescharacteristic
23C2×#13063258C2211yescharacteristic
24C2×C4⋊(C43⋊C8)C2211yescharacteristic
25C2×#13063249C2211yescharacteristic
26C2×#13063249C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063249C2211yescharacteristic
29C2×#13063249C2211yescharacteristic
30C2×#13063249C2211yescharacteristic
31C2×#13063248C2211yescharacteristic
32C2×#13063248C2211yescharacteristic
33C2×C22⋊(C43⋊C8)C2211yescharacteristic
34C2×C22⋊(C43⋊C8)C2211yescharacteristic
35C2×C4×C43⋊C8C2211yescharacteristic
36#14582835—21no—
37#14582833—21no—
38#14582805C2211yescharacteristic
39#14582797C2211yescharacteristic
40#14582792—21no—
41#14582782—21no—
42#14582769C2211yescharacteristic
43#14582759C2211yescharacteristic
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582654C2211yescharacteristic
49#14582654C2211yescharacteristic
50C23×Q8×C43C2211yescharacteristic
51C2×C4×Q8×C43C2211yescharacteristic
52C2×C4×Q8×C43C2211yescharacteristic
53C43×#391—21no—
54C43×#391—21no—
55C43×#391C2211yescharacteristic
56C43×#391C2211yescharacteristic
57C43×#380—21no—
58C43×#380C2211yescharacteristic
59C4×C22⋊C4×C43—21no—
60C4×C22⋊C4×C43C2211yescharacteristic
61C22×Dic86C2311yescharacteristic
62C2×#10621885—22no—
63C2×#10621885—22no—
64C2×#10621885—22no—
65C2×#10621885—22no—
66C2×#10621885—41no—
67C2×#10621885D414yes—
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72#13063304—22no—
73#13063304—41no—
74C4×Dic86—22no—
75C4×Dic86—41no—
76C2×C4⋊Dic43—21no—
77C2×C4⋊Dic43—21no—
78C2×C4⋊Dic43C2311yescharacteristic
79C2×C4⋊Dic43C2311yescharacteristic
80C2×C4⋊Dic43C2311yescharacteristic
81C2×Dic43⋊C4—21no—
82C2×Dic43⋊C4—21no—
83C2×Dic43⋊C4—21no—
84C2×C22⋊Dic43—21no—
85C2×C22⋊Dic43—21no—
86C2×C4×Dic43—21no—
87#13063258—22no—
88#13063258—41no—
89C4⋊(C43⋊C8)—41no—
90#13063249—22no—
91#13063249—22no—
92#13063249—22no—
93#13063249—22no—
94#13063249—22no—
95#13063249—41no—
96#13063248—22no—
97#13063248—41no—
98C22⋊(C43⋊C8)—22no—
99C22⋊(C43⋊C8)—41no—
100C4×C43⋊C8—22no—
101C43⋊#95—21no—
102C43⋊#95—21no—
103C43⋊#95—21no—
104C43⋊#95—21no—
105C22×Q8×C43—22no—
106C22×Q8×C43—22no—
107C22×Q8×C43—21no—
108C22×Q8×C43—22no—
109C22×Q8×C43—22no—
110C22×Q8×C43—41no—
111C22×Q8×C43—41no—
112C22×Q8×C43C2311yescharacteristic
113C22×Q8×C43C2311yescharacteristic
114C23×C4×C43—21no—
115C23×C4×C43C2311yescharacteristic
116C4×Q8×C43—22no—
117C4×Q8×C43—22no—
118C4×Q8×C43—41no—
119C4×Q8×C43—41no—
120C2×C4⋊C4×C43—21no—
121C2×C4⋊C4×C43—21no—
122C2×C4⋊C4×C43C2311yescharacteristic
123C2×C4⋊C4×C43C2311yescharacteristic
124C2×C22⋊C4×C43—21no—
125C2×C22⋊C4×C43D411yescharacteristic
126C2×C22⋊C4×C43D411yescharacteristic
127C2×C42×C43—21no—
128C2×C42×C43—21no—
129C2×C42×C43C2311yescharacteristic
130C2×C42×C43C2311yescharacteristic
131#95×C43—21no—
132#95×C43—21no—
133#95×C43—21no—
134#95×C43—21no—
135#95×C43—21no—
136#95×C43D411yescharacteristic
137#95×C43D411yescharacteristic
138C24×C43C2×D411yescharacteristic
139C2×Q8×C43—24no—
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
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×C43—44no—
154C2×Q8×C43C2×D412yes—
155C2×Q8×C43#4112yes—
156C2×Q8×C43#4112yes—
157C2×Q8×C43#4112yes—
158C22×C4×C43—24no—
159C22×C4×C43—21no—
160C22×C4×C43—21no—
161C22×C4×C43—21no—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—21no—
167C22×C4×C43—21no—
168C22×C4×C43—21no—
169C22×C4×C43—42no—
170C22×C4×C43—42no—
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2×D411yescharacteristic
173C22×C4×C43C2×D411yescharacteristic
174C22×C4×C43C2×D411yescharacteristic
175C22×C4×C43C2×D411yescharacteristic
176C22×C4×C43C2411yescharacteristic
177C22×Dic43—21no—
178C22×Dic43—21no—
179C22×Dic43—21no—
180C22×Dic43—21no—
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86C2×D412yes—
187C4⋊C4×C43—21no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—42no—
192C4⋊C4×C43—42no—
193C22⋊C4×C43—41no—
194C22⋊C4×C43—42no—
195C22⋊C4×C43Q1614yescomplemented
196C42×C43—21no—
197C42×C43—21no—
198C42×C43—21no—
199C42×C43—21no—
200C42×C43—42no—
201C42×C43—42no—
202C22⋊Dic43—42no—
203C22⋊Dic43—81no—
204#10621885—28no—
205#10621885—44no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—42no—
213C4⋊Dic43—81no—
214Dic43⋊C4—42no—
215Dic43⋊C4—42no—
216Dic43⋊C4—81no—
217C4×Dic43—42no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8C2×D412yes—
230C23×C43—21no—
231C23×C43—21no—
232C23×C43—21no—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43C2×Q1612yes—
237C23×C43C22×D411yescharacteristic
238Q8×C43—22no—
239Q8×C43—22no—
240Q8×C43—22no—
241Q8×C43—22no—
242Q8×C43—22no—
243Q8×C43—48no—
244Q8×C43—41no—
245Q8×C43—41no—
246Q8×C43#12314yes—
247C2×C4×C43—22no—
248C2×C4×C43—21no—
249C2×C4×C43—22no—
250C2×C4×C43—21no—
251C2×C4×C43—22no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—22no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—48no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43C2×Q1612yes—
278C2×C4×C43C2×Q1612yes—
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43H(5,𝔽2)11yescharacteristic
284C2×C4×C43H(5,𝔽2)11yescharacteristic
285C2×Dic43—22no—
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×Dic43—41no—
296C2×Dic43—41no—
297Dic86—22no—
298Dic86—22no—
299Dic86—41no—
300Dic86—41no—
301C43⋊C8—22no—
302C43⋊C8—41no—
303C43⋊C8—41no—
304C43⋊C8—41no—
305#24906—431nomaximal, Sylow
306C22×C43—22no—
307C22×C43—22no—
308C22×C43—22no—
309C22×C43—41no—
310C22×C43—41no—
311C22×C43—41no—
312C22×C43—41no—
313C22×C43#52511yescharacteristic
314C22×C43D4211yescharacteristic
315C22×C43#54611yescharacteristic
316C22×C43C22×Q1611yescharacteristic
317C22×C43#57511yescharacteristic
318C22×C43#57711yescharacteristic
319C22×C43#57811yescharacteristic
320C4×C43—24no—
321C4×C43—22no—
322C4×C43—22no—
323C4×C43—41no—
324C4×C43—42no—
325C4×C43—41no—
326C4×C43—41no—
327C4×C43—81no—
328C4×C43—81no—
329C4×C43C2×#12311yescharacteristic
330C4×C43#53811yescharacteristic
331C4×C43#54611yescharacteristic
332C4×C43#55111yescharacteristic
333Dic43—42no—
334Dic43—81no—
335Dic43—81no—
336Dic43—81no—
337C2×#451—431no—
338C2×C4×Q16—431no—
339#2423—431no—
340Q8×C22⋊C4D4311yescharacteristic
341#2095—431no—
342#2076—431no—
343#2056—431no—
344#2036—431no—
345#1933—431no—
346#1923—431no—
347#1878—431no—
348#1878—431no—
349#1863—431no—
350#1803—431no—
351#1787—431no—
352C2×C43—42no—
353C2×C43#241811yescharacteristic
354C2×C43#310411yescharacteristic
355C2×C43#312111yescharacteristic
356C2×C43#327111yescharacteristic
357C2×C43D4×Q1611yescharacteristic
358C2×C43#329911yescharacteristic
359C2×C43#332711yescharacteristic
360C23×Q8C2×D4311yescharacteristic
361C22×Q16—431no—
362C22×Q16—431no—
363C2×C22⋊Q8—431no—
364C2×C4×Q8—431no—
365C2×C4×Q8C2×D4311yescharacteristic
366C2×C4×Q8C2×D4311yescharacteristic
367#451—864no—
368C4×Q16—864no—
369C2×#107—431no—
370C2×#107—431no—
371C2×C4⋊C8—431no—
372C2×#103—431no—
373C2×#103—431no—
374C2×#103—431no—
375C2×#103—431no—
376C2×#103—431no—
377C2×#103—431no—
378C2×#103—431no—
379C2×#103—431no—
380C2×C22⋊C8—431no—
381C2×C22⋊C8—431no—
382C2×C4×C8—431no—
383#399—861no—
384#398—861no—
385#391—21no—
386#391—21no—
387#391—431no—
388#391C2×D4311yescharacteristic
389#391C2×D4311yescharacteristic
390#389—431no—
391#388—861no—
392#387—861no—
393#384—431no—
394#380—21no—
395#380—431no—
396#380C2×D4311yescharacteristic
397C4×C22⋊C4—21no—
398C4×C22⋊C4C2×D4311yescharacteristic
399#340—431no—
400#340—431no—
401#340—431no—
402#340—431no—
403#336—431no—
404#336—431no—
405C43#2490611yescharacteristic, complemented, Sylow
406C22×Q8—22no—
407C22×Q8—22no—
408C22×Q8—21no—
409C22×Q8—22no—
410C22×Q8—22no—
411C22×Q8—41no—
412C22×Q8—41no—
413C22×Q8—431no—
414C22×Q8C22×D4311yescharacteristic
415C22×Q8C22×D4311yescharacteristic
416C23×C4—21no—
417C23×C4C22×D4311yescharacteristic
418C2×Q16—434no—
419C2×Q16—862no—
420C2×Q16—862no—
421C2×Q16—862no—
422C2×Q16—862no—
423C2×Q16—1721no—
424C22×C8—431no—
425C22×C8—431no—
426C22×C8—431no—
427C22×C8—431no—
428C22⋊Q8—862no—
429C22⋊Q8—1721no—
430C4×Q8—22no—
431C4×Q8—22no—
432C4×Q8—41no—
433C4×Q8—41no—
434C4×Q8—862no—
435C4×Q8—1721no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—431no—
439C2×C4⋊C4—431no—
440C2×C4⋊C4—431no—
441C2×C4⋊C4—861no—
442C2×C4⋊C4—861no—
443C2×C4⋊C4—861no—
444C2×C4⋊C4—861no—
445C2×C4⋊C4—861no—
446C2×C4⋊C4C22×D4311yescharacteristic
447C2×C4⋊C4C22×D4311yescharacteristic
448C2×C22⋊C4—21no—
449C2×C22⋊C4—861no—
450C2×C22⋊C4—861no—
451C2×C22⋊C4C22⋊D4311yescharacteristic
452C2×C22⋊C4C22⋊D4311yescharacteristic
453C2×C42—21no—
454C2×C42—21no—
455C2×C42—861no—
456C2×C42C22×D4311yescharacteristic
457C2×C42C22×D4311yescharacteristic
458#107—862no—
459#107—1721no—
460C4⋊C8—1721no—
461#103—862no—
462#103—862no—
463#103—862no—
464#103—862no—
465#103—862no—
466#103—862no—
467#103—1721no—
468#103—1721no—
469C22⋊C8—862no—
470C22⋊C8—1721no—
471C4×C8—862no—
472#95—21no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95—21no—
477#95—861no—
478#95—861no—
479#95—861no—
480#95—861no—
481#95C22⋊D4311yescharacteristic
482#95C22⋊D4311yescharacteristic
483C24C2×C22⋊D4311yescharacteristic
484C2×Q8—24no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—42no—
494C2×Q8—42no—
495C2×Q8—44no—
496C2×Q8—44no—
497C2×Q8—44no—
498C2×Q8—44no—
499C2×Q8—432no—
500C2×Q8—861no—
501C2×Q8—861no—
502C2×Q8—861no—
503C2×Q8—861no—
504C2×Q8—861no—
505C2×Q8#1062189812yes—
506C2×Q8#1062189812yes—
507C2×Q8D4×D4312yes—
508C2×Q8#1062190012yes—
509C22×C4—21no—
510C22×C4—24no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4C2×C22⋊D4311yescharacteristic
527C22×C4C2×C22⋊D4311yescharacteristic
528C22×C4C2×C22⋊D4311yescharacteristic
529C22×C4C2×C22⋊D4311yescharacteristic
530C22×C4C2×C22⋊D4311yescharacteristic
531C22×C4C23×D4311yescharacteristic
532Q16—868no—
533Q16—1724no—
534C2×C8—432no—
535C2×C8—861no—
536C2×C8—861no—
537C2×C8—861no—
538C2×C8—861no—
539C2×C8—861no—
540C2×C8—861no—
541C2×C8—861no—
542C2×C8—861no—
543C2×C8—861no—
544C2×C8—861no—
545C2×C8—861no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—861no—
553C4⋊C4—861no—
554C4⋊C4—861no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—861no—
558C4⋊C4—3441no—
559C4⋊C4—3441no—
560C4⋊C4—1722no—
561C4⋊C4—1722no—
562C4⋊C4—1722no—
563C22⋊C4—41no—
564C22⋊C4—42no—
565C22⋊C4—3441no—
566C22⋊C4—1722no—
567C22⋊C4#1062188514yescomplemented
568C42—21no—
569C42—21no—
570C42—21no—
571C42—21no—
572C42—42no—
573C42—42no—
574C42—1722no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23C2×#1062188512yes—
582C23C22×C22⋊D4311yescharacteristic
583Q8—22no—
584Q8—22no—
585Q8—22no—
586Q8—22no—
587Q8—22no—
588Q8—48no—
589Q8—41no—
590Q8—41no—
591Q8—862no—
592Q8—862no—
593Q8—1721no—
594Q8—1721no—
595Q8#1306330714yes—
596C2×C4—22no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
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—21no—
613C2×C4—48no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—862no—
627C2×C4—1721no—
628C2×C4—1721no—
629C2×C4—1721no—
630C2×C4—1721no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4—1721no—
634C2×C4—1721no—
635C2×C4—1721no—
636C2×C4—1721no—
637C2×C4—1721no—
638C2×C4C2×#1062188512yes—
639C2×C4C2×#1062188512yes—
640C2×C4C2×D4×D4311yescharacteristic
641C2×C4C2×#1062190011yescharacteristic
642C2×C4C2×#1062189811yescharacteristic
643C2×C4C2×#1062189811yescharacteristic
644C2×C4#1306337011yescharacteristic
645C2×C4#1306337011yescharacteristic
646C8—862no—
647C8—1721no—
648C8—1721no—
649C8—1721no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—41no—
657C22#1458341011yescharacteristic
658C22D4×C22⋊D4311yescharacteristic
659C22#1458354311yescharacteristic
660C22C22×#1062188511yescharacteristic
661C22#1458369711yescharacteristic
662C22#1458370711yescharacteristic
663C22#1458371411yescharacteristic
664C4—24no—
665C4—22no—
666C4—22no—
667C4—41no—
668C4—42no—
669C4—41no—
670C4—41no—
671C4—81no—
672C4—81no—
673C4—3441no—
674C4—3441no—
675C4—3441no—
676C4—1722no—
677C4C2×#1306330711yescharacteristic
678C4#1458348711yescharacteristic
679C4#1458353911yescharacteristic
680C4#1458357511yescharacteristic
681C2—42no—
682C2#1913805711yescharacteristic
683C2#1914463411yescharacteristic
684C2#1914482411yescharacteristic
685C2#1914618111yescharacteristic
686C2D4×#1062188511yescharacteristic
687C2#1914647111yescharacteristic
688C2#1914686311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingQ8×C22⋊C4×C43C2
socleC23×C43C22×D4
prime radicalC24×C43C2×D4
hypercenterQ8×C22⋊C4D43
hypocenterC43#24906
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621885C2semidirect
4. #19136133C2semidirect
6. #19135917C2semidirect
8. #19135274C2semidirect
10. #19134939C2semidirect
11. #19134936C2semidirect
12. #19134849C2semidirect
13. #19134600C2semidirect
195. C22⋊C4×C43Q16semidirect
405. C43#24906semidirect
567. C22⋊C4#10621885semidirect

Maximal subgroups

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

subgroupindex
C2×#145830552
C2×C4×#106218852
#191381202
#191361332
#191360262
#191359172
#191357982
#191352742
#191352032
#191349392
#191349362
#191348492
#191346002
#191345302
Q8×C22⋊C4×C432
#2490643