Finite Group Databasebeta

← C2×#20254162 #27086822

Subgroups — C2×#20254162 #27086822

Order 12032.

2354 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094004C211yesmaximal, characteristic
2C2×C22⋊Q8×D47C211yesmaximal, characteristic
3#20254162C2116yesmaximal, direct product factor
4C2×#15689460C212yesmaximal, complemented
5C2×#15689458C211yesmaximal, characteristic, complemented
6C2×#15689365C212yesmaximal, complemented
7C2×#15689363C212yesmaximal, complemented
8C2×#15689281C211yesmaximal, characteristic, complemented
9C2×#15689280C212yesmaximal, complemented
10C2×#15689278C211yesmaximal, characteristic, complemented
11C2×C22⋊C8×D47C211yesmaximal, characteristic
12C2×C47×#484C211yesmaximal, characteristic, complemented
13C23×Dic94C2211yescharacteristic
14C22×Q8×D47C2211yescharacteristic
15C23×C4×D47C2211yescharacteristic
16C22×Dic188C2212yescomplemented
17C22×#10625337C2212yescomplemented
18C22×C8×D47C2212yes—
19C2×#13094004—21no—
20C2×#13094004—24no—
21C2×#13094004—21no—
22C2×#13094004C2212yes—
23C2×#13094004C2211yescharacteristic
24C2×#13094004C2212yes—
25C2×#13094004C2218yes—
26C2×#13094003C2211yescharacteristic
27C2×#13094002—21no—
28C2×#13094001—21no—
29C2×#13094000C2211yescharacteristic
30C22⋊Q8×D47—24no—
31C22⋊Q8×D47C2218yes—
32C22×C4⋊Dic47—21no—
33C2×C4⋊C4×D47—21no—
34C2×C4⋊C4×D47C2211yescharacteristic
35C22×(C2×D47)⋊C4—21no—
36C2×C22⋊C4×D47—21no—
37#15689460C22116yescomplemented
38#15689458C2218yescomplemented
39#15689365C22116yescomplemented
40#15689363C22116yescomplemented
41#15689281C2218yescomplemented
42#15689280C22116yescomplemented
43#15689278C2218yescomplemented
44C2×#13093957C2212yescomplemented
45C2×#13093949C2212yescomplemented
46C2×#13093947C2212yescomplemented
47C2×#13093947C2212yescomplemented
48C2×C22⋊(C47⋊C8)C2211yescharacteristic
49C2×(C2×D47)⋊C8C2212yes—
50C22⋊C8×D47C2218yes—
51C2×C22⋊Q8×C47C2211yescharacteristic
52C22×C4⋊C4×C47C2211yescharacteristic
53C47×#484C2218yescomplemented
54C2×#107×C47C2212yescomplemented
55C2×#103×C47C2212yescomplemented
56C2×C22⋊C8×C47C2211yescharacteristic
57C24×D47D411yescharacteristic
58C22×Dic94—21no—
59C22×Dic94—22no—
60C22×Dic94—21no—
61C22×Dic94—44no—
62C22×Dic94C2311yescharacteristic
63C22×Dic94C2312yes—
64C22×Dic94C2314yes—
65C2×Q8×D47—22no—
66C2×Q8×D47—44no—
67C2×Q8×D47C2314yes—
68C23×Dic47—21no—
69C23×Dic47D411yescharacteristic
70C22×C4×D47—21no—
71C22×C4×D47—21no—
72C22×C4×D47—44no—
73C22×C4×D47D411yescharacteristic
74C22×C4×D47D414yes—
75C22×C4×D47D411yescharacteristic
76C22×C4×D47C2311yescharacteristic
77C22×C4×D47C2311yescharacteristic
78C22×C4×D47C2314yes—
79C2×Dic188—44no—
80C2×Dic188C2318yescomplemented
81C2×#10625337—44no—
82C2×#10625337C2318yescomplemented
83C22×C47⋊C8C2312yes—
84C2×C8×D47—44no—
85C2×C8×D47C2318yes—
86#13094004—22no—
87#13094004—24no—
88#13094004—24no—
89#13094004—28no—
90#13094004—28no—
91#13094004C2318yes—
92#13094004C2314yes—
93#13094004C2318yes—
94#13094003—22no—
95#13094003C2314yes—
96#13094002—28no—
97#13094001—28no—
98#13094000—22no—
99#13094000C2314yes—
100C2×C4⋊Dic47—21no—
101C2×C4⋊Dic47—22no—
102C2×C4⋊Dic47—22no—
103C2×C4⋊Dic47—28no—
104C2×C4⋊Dic47C2311yescharacteristic
105C2×Dic47⋊C4—21no—
106C2×Dic47⋊C4—21no—
107C2×Dic47⋊C4—21no—
108C4⋊C4×D47—28no—
109C4⋊C4×D47—22no—
110C4⋊C4×D47C2314yes—
111C2×C22⋊Dic47—21no—
112C2×(C2×D47)⋊C4—21no—
113C2×(C2×D47)⋊C4—21no—
114C2×(C2×D47)⋊C4—22no—
115C2×(C2×D47)⋊C4—22no—
116C2×(C2×D47)⋊C4—28no—
117C22⋊C4×D47—28no—
118#13093957C2318yescomplemented
119#13093949C2318yescomplemented
120#13093947C2318yescomplemented
121#13093947C2318yescomplemented
122C22⋊(C47⋊C8)C2314yes—
123(C2×D47)⋊C8C2318yes—
124C22×Q8×C47C2311yescharacteristic
125C23×C4×C47—21no—
126C23×C4×C47C2311yescharacteristic
127C22×C8×C47C2312yes—
128C22⋊Q8×C47—22no—
129C22⋊Q8×C47C2314yes—
130C2×C4⋊C4×C47—21no—
131C2×C4⋊C4×C47—22no—
132C2×C4⋊C4×C47—21no—
133C2×C4⋊C4×C47C2314yes—
134C2×C4⋊C4×C47C2312yes—
135C2×C4⋊C4×C47C2311yescharacteristic
136C2×C22⋊C4×C47—21no—
137#107×C47C2318yescomplemented
138#103×C47C2318yescomplemented
139C22⋊C8×C47C2314yes—
140C24×C47C2×D411yescharacteristic
141C23×D47—42no—
142C23×D47—42no—
143C23×D47Q1618yescomplemented
144C23×D47C2×D411yescharacteristic
145C23×D47C2×D411yescharacteristic
146C23×D47C2×D414yes—
147C2×Q8×C47—21no—
148C2×Q8×C47—24no—
149C2×Q8×C47C2412yes—
150C22×C4×C47—24no—
151C22×C4×C47—21no—
152C22×C4×C47—21no—
153C22×C4×C47—24no—
154C22×C4×C47—22no—
155C22×C4×C47—44no—
156C22×C4×C47C2×D411yescharacteristic
157C22×C4×C47C2×D412yes—
158C22×C4×C47C2412yes—
159C22×C4×C47C2411yescharacteristic
160C22×Dic47—24no—
161C22×Dic47—22no—
162C22×Dic47—21no—
163C22×Dic47—21no—
164C22×Dic47—42no—
165C22×Dic47—44no—
166C22×Dic47C2×D411yescharacteristic
167C22×Dic47C2×D411yescharacteristic
168C22×Dic47C2×D414yes—
169Q8×D47—48no—
170Q8×D47—48no—
171C2×C4×D47—24no—
172C2×C4×D47—24no—
173C2×C4×D47—24no—
174C2×C4×D47—24no—
175C2×C4×D47—48no—
176C2×C4×D47—48no—
177C2×C4×D47—42no—
178C2×C4×D47—42no—
179C2×C4×D47—44no—
180C2×C4×D47—44no—
181C2×C4×D47C2×D412yes—
182C2×C4×D47C2×D412yes—
183C2×C4×D47C2×D414yes—
184C2×C4×D47C2×D414yes—
185C2×C4×D47C2412yes—
186C2×C4×D47C2412yes—
187C2×Dic94—24no—
188C2×Dic94—24no—
189C2×Dic94—24no—
190C2×Dic94—21no—
191C2×Dic94—24no—
192C2×Dic94—22no—
193C2×Dic94—24no—
194C2×Dic94—48no—
195C2×Dic94—44no—
196C2×Dic94—44no—
197C2×Dic94—48no—
198C2×Dic94C2412yes—
199C2×Dic94C2414yes—
200C2×C8×C47—24no—
201C2×C8×C47C2414yes—
202C4⋊C4×C47—24no—
203C4⋊C4×C47—22no—
204C4⋊C4×C47—24no—
205C4⋊C4×C47—21no—
206C4⋊C4×C47C2414yes—
207C4⋊C4×C47C2412yes—
208C22⋊C4×C47—24no—
209C22⋊Dic47—24no—
210#10625337—48no—
211(C2×D47)⋊C4—24no—
212(C2×D47)⋊C4—24no—
213(C2×D47)⋊C4—28no—
214(C2×D47)⋊C4—28no—
215C4⋊Dic47—21no—
216C4⋊Dic47—24no—
217C4⋊Dic47—28no—
218C4⋊Dic47—28no—
219C4⋊Dic47C2412yes—
220Dic47⋊C4—24no—
221Dic47⋊C4—24no—
222Dic47⋊C4—24no—
223C2×C47⋊C8—24no—
224C2×C47⋊C8C2414yes—
225Dic188—48no—
226C8×D47—48no—
227C23×C47—22no—
228C23×C47—22no—
229C23×C47C2×Q1614yes—
230C23×C47C22×D412yes—
231C23×C47C22×D411yescharacteristic
232C22×D47—22no—
233C22×D47—22no—
234C22×D47—22no—
235C22×D47—22no—
236C22×D47—44no—
237C22×D47—416no—
238C22×D47—44no—
239C22×D47C2×Q1614yes—
240C22×D47C2×Q1614yes—
241C22×D47C2×Q16116yescomplemented
242C22×D47C22×D412yes—
243C22×D47C22×D412yes—
244Q8×C47—24no—
245Q8×C47—42no—
246C2×C4×C47—22no—
247C2×C4×C47—24no—
248C2×C4×C47—24no—
249C2×C4×C47—22no—
250C2×C4×C47—22no—
251C2×C4×C47—24no—
252C2×C4×C47—48no—
253C2×C4×C47—42no—
254C2×C4×C47—42no—
255C2×C4×C47—44no—
256C2×C4×C47C22×D412yes—
257C2×C4×C47C22×D411yescharacteristic
258C2×C4×C47H(5,𝔽2)14yes—
259C2×C4×C47C2511yescharacteristic
260C2×Dic47—22no—
261C2×Dic47—22no—
262C2×Dic47—22no—
263C2×Dic47—22no—
264C2×Dic47—24no—
265C2×Dic47—44no—
266C2×Dic47—48no—
267C2×Dic47—42no—
268C2×Dic47—44no—
269C2×Dic47—42no—
270C2×Dic47C22×D412yes—
271C2×Dic47C22×D412yes—
272C4×D47—24no—
273C4×D47—24no—
274C4×D47—24no—
275C4×D47—24no—
276C4×D47—44no—
277C4×D47—44no—
278C4×D47—48no—
279C4×D47—48no—
280Dic94—24no—
281Dic94—24no—
282Dic94—24no—
283Dic94—48no—
284Dic94—48no—
285Dic94—44no—
286Dic94—42no—
287C8×C47—24no—
288C47⋊C8—24no—
289C2×#3189—471nomaximal, Sylow
290C22×C47—28no—
291C22×C47—22no—
292C22×C47—22no—
293C22×C47#53412yes—
294C22×C47C22×Q1614yes—
295C22×C47C22×Q1612yes—
296C22×C47#57512yes—
297C22×C47C23×D411yescharacteristic
298C2×D47—28no—
299C2×D47—28no—
300C2×D47—22no—
301C2×D47—22no—
302C2×D47—22no—
303C2×D47—22no—
304C2×D47—416no—
305C2×D47C22×Q1614yes—
306C2×D47C22×Q1614yes—
307C4×C47—22no—
308C4×C47—42no—
309C4×C47—42no—
310C4×C47—44no—
311C4×C47#53412yes—
312C4×C47C2×H(5,𝔽2)12yes—
313Dic47—22no—
314Dic47—22no—
315Dic47—42no—
316Dic47—44no—
317Dic47—42no—
318C22×C22⋊Q8—471no—
319C22×C22⋊Q8—471no—
320#3189—4716no—
321C2×#484—472no—
322C2×#484—471no—
323C2×#484D4711yescharacteristic, complemented
324C2×#467—472no—
325C2×#467—472no—
326C2×#451—472no—
327C2×#451—471no—
328C2×#451—471no—
329C22×C22⋊C8—471no—
330C2×C47—24no—
331C2×C47#318914yescomplemented
332C2×C47C2×#53411yescharacteristic
333C2×C47C23×Q1611yescharacteristic
334C2×C47C2×#57511yescharacteristic
335D47—24no—
336D47—24no—
337C23×Q8—471no—
338C23×Q8—471no—
339C24×C4—471no—
340C22×Q16—472no—
341C22×Q16—472no—
342C23×C8—472no—
343C2×C22⋊Q8—471no—
344C2×C22⋊Q8—471no—
345C2×C22⋊Q8—478no—
346C2×C22⋊Q8—472no—
347C2×C22⋊Q8—478no—
348C2×C22⋊Q8—471no—
349C2×C22⋊Q8—472no—
350C2×C22⋊Q8—941no—
351C2×C22⋊Q8—941no—
352C2×C22⋊Q8—941no—
353C2×C22⋊Q8—944no—
354C2×C22⋊Q8—941no—
355C2×C22⋊Q8—944no—
356C2×C22⋊Q8C2×D4711yescharacteristic
357C22×C4⋊C4—471no—
358C22×C4⋊C4—941no—
359C22×C4⋊C4—941no—
360C22×C4⋊C4C2×D4711yescharacteristic
361C22×C22⋊C4—941no—
362C22×C22⋊C4—941no—
363#484—478no—
364#484—4716no—
365#484C2×D4718yescomplemented
366#467—4716no—
367#467—4716no—
368#451—478no—
369#451—4716no—
370#451—478no—
371C2×#107—472no—
372C2×#107C2×D4712yescomplemented
373C2×#103—472no—
374C2×#103—472no—
375C2×#103—472no—
376C2×#103C2×D4712yescomplemented
377C2×C22⋊C8—471no—
378C2×C22⋊C8—472no—
379C2×C22⋊C8—478no—
380C2×C22⋊C8C2×D4711yescharacteristic
381C47C2×#318911yescharacteristic, complemented, Sylow
382C25—471no—
383C22×Q8—474no—
384C22×Q8—471no—
385C22×Q8—472no—
386C22×Q8—474no—
387C22×Q8—941no—
388C22×Q8—942no—
389C22×Q8—942no—
390C22×Q8—941no—
391C22×Q8—1884no—
392C22×Q8—1884no—
393C22×Q8C22×D4711yescharacteristic
394C23×C4—21no—
395C23×C4—471no—
396C23×C4—471no—
397C23×C4—471no—
398C23×C4—471no—
399C23×C4—471no—
400C23×C4—474no—
401C23×C4—474no—
402C23×C4—941no—
403C23×C4—941no—
404C23×C4—941no—
405C23×C4—1884no—
406C23×C4C22×D4711yescharacteristic
407C2×Q16—478no—
408C2×Q16—478no—
409C2×Q16—1884no—
410C2×Q16—1884no—
411C22×C8—472no—
412C22×C8—478no—
413C22×C8—1884no—
414C22×C8C22×D4712yes—
415C22⋊Q8—22no—
416C22⋊Q8—474no—
417C22⋊Q8—474no—
418C22⋊Q8—478no—
419C22⋊Q8—474no—
420C22⋊Q8—478no—
421C22⋊Q8—948no—
422C22⋊Q8—948no—
423C22⋊Q8—944no—
424C22⋊Q8—944no—
425C22⋊Q8—948no—
426C22⋊Q8—948no—
427C22⋊Q8—942no—
428C22⋊Q8—942no—
429C22⋊Q8—942no—
430C22⋊Q8C22×D4714yes—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—471no—
435C2×C4⋊C4—474no—
436C2×C4⋊C4—942no—
437C2×C4⋊C4—948no—
438C2×C4⋊C4—941no—
439C2×C4⋊C4—941no—
440C2×C4⋊C4—948no—
441C2×C4⋊C4—941no—
442C2×C4⋊C4—942no—
443C2×C4⋊C4—942no—
444C2×C4⋊C4—941no—
445C2×C4⋊C4C22×D4711yescharacteristic
446C2×C4⋊C4C22×D4712yes—
447C2×C4⋊C4C22×D4714yes—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—948no—
450C2×C22⋊C4—948no—
451C2×C22⋊C4—941no—
452C2×C22⋊C4—941no—
453C2×C22⋊C4—942no—
454C2×C22⋊C4—942no—
455C2×C22⋊C4—941no—
456#107—478no—
457#107C22×D4718yescomplemented
458#103—478no—
459#103—478no—
460#103—478no—
461#103C22×D4718yescomplemented
462C22⋊C8—474no—
463C22⋊C8—478no—
464C22⋊C8C22×D4714yes—
465C24—471no—
466C24—471no—
467C24—478no—
468C24—474no—
469C24—1882no—
470C24—1882no—
471C24D4×D4711yescharacteristic
472C2×Q8—21no—
473C2×Q8—24no—
474C2×Q8—472no—
475C2×Q8—474no—
476C2×Q8—944no—
477C2×Q8—944no—
478C2×Q8—941no—
479C2×Q8—942no—
480C2×Q8—944no—
481C2×Q8—944no—
482C2×Q8—944no—
483C2×Q8—1888no—
484C2×Q8—1884no—
485C2×Q8—1888no—
486C2×Q8—1884no—
487C2×Q8—1888no—
488C2×Q8—1888no—
489C2×Q8C23×D4712yes—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—44no—
496C22×C4—471no—
497C22×C4—471no—
498C22×C4—474no—
499C22×C4—472no—
500C22×C4—472no—
501C22×C4—472no—
502C22×C4—472no—
503C22×C4—474no—
504C22×C4—474no—
505C22×C4—944no—
506C22×C4—944no—
507C22×C4—944no—
508C22×C4—944no—
509C22×C4—944no—
510C22×C4—941no—
511C22×C4—942no—
512C22×C4—941no—
513C22×C4—1888no—
514C22×C4—1888no—
515C22×C4—1882no—
516C22×C4—1882no—
517C22×C4—1884no—
518C22×C4—1884no—
519C22×C4—1882no—
520C22×C4—1884no—
521C22×C4D4×D4712yes—
522C22×C4D4×D4711yescharacteristic
523C22×C4C23×D4712yes—
524C22×C4C23×D4711yescharacteristic
525Q16—1888no—
526Q16—1888no—
527C2×C8—24no—
528C2×C8—474no—
529C2×C8—944no—
530C2×C8—1888no—
531C2×C8C23×D4714yes—
532C4⋊C4—24no—
533C4⋊C4—22no—
534C4⋊C4—24no—
535C4⋊C4—21no—
536C4⋊C4—472no—
537C4⋊C4—944no—
538C4⋊C4—944no—
539C4⋊C4—944no—
540C4⋊C4—948no—
541C4⋊C4—948no—
542C4⋊C4—944no—
543C4⋊C4—941no—
544C4⋊C4C23×D4712yes—
545C4⋊C4C23×D4714yes—
546C22⋊C4—24no—
547C22⋊C4—944no—
548C22⋊C4—944no—
549C22⋊C4—948no—
550C22⋊C4—948no—
551C22⋊C4—944no—
552C23—22no—
553C23—22no—
554C23—474no—
555C23—474no—
556C23—472no—
557C23—472no—
558C23—4716no—
559C23—942no—
560C23—942no—
561C23—942no—
562C23—942no—
563C23—1884no—
564C23—1884no—
565C23—18816no—
566C23Q16×D4714yes—
567C23C2×D4×D4712yes—
568C23C2×D4×D4711yescharacteristic
569Q8—24no—
570Q8—42no—
571Q8—944no—
572Q8—944no—
573Q8—944no—
574Q8—1888no—
575Q8—1888no—
576Q8—1884no—
577Q8—1882no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—24no—
584C2×C4—48no—
585C2×C4—44no—
586C2×C4—42no—
587C2×C4—42no—
588C2×C4—472no—
589C2×C4—472no—
590C2×C4—942no—
591C2×C4—942no—
592C2×C4—944no—
593C2×C4—944no—
594C2×C4—944no—
595C2×C4—944no—
596C2×C4—942no—
597C2×C4—942no—
598C2×C4—944no—
599C2×C4—1884no—
600C2×C4—1884no—
601C2×C4—1888no—
602C2×C4—1888no—
603C2×C4—1884no—
604C2×C4—1888no—
605C2×C4—1882no—
606C2×C4—1882no—
607C2×C4—1884no—
608C2×C4C2×D4×D4712yes—
609C2×C4C2×D4×D4711yescharacteristic
610C2×C4#1309407014yes—
611C2×C4C24×D4711yescharacteristic
612C8—24no—
613C8—944no—
614C22—22no—
615C22—22no—
616C22—28no—
617C22—474no—
618C22—474no—
619C22—942no—
620C22—942no—
621C22—942no—
622C22—942no—
623C22—948no—
624C22—948no—
625C22—18816no—
626C22#1568968412yes—
627C22C2×Q16×D4714yes—
628C22C2×Q16×D4712yes—
629C22#1568991912yes—
630C22C22×D4×D4711yescharacteristic
631C4—22no—
632C4—44no—
633C4—42no—
634C4—42no—
635C4—942no—
636C4—942no—
637C4—1882no—
638C4—1882no—
639C4—1884no—
640C4#1568968412yes—
641C4C2×#1309407012yes—
642C2—24no—
643C2—944no—
644C2—944no—
645C2#2025416214yesdirect product factor
646C2C2×#1568968411yescharacteristic
647C2C22×Q16×D4711yescharacteristic
648C2C2×#1568991911yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#484C2
socleC23×C47C22×D4
prime radicalC24×D47D4
hypercenterC2×#484D47
hypocenterC47C2×#3189
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#484

Complements

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

NH ≅ G/Ntype
3. #20254162C2direct (N × H)
4. C2×#15689460C2semidirect
5. C2×#15689458C2semidirect
6. C2×#15689365C2semidirect
7. C2×#15689363C2semidirect
8. C2×#15689281C2semidirect
9. C2×#15689280C2semidirect
10. C2×#15689278C2semidirect
12. C2×C47×#484C2semidirect
16. C22×Dic188C22semidirect
17. C22×#10625337C22semidirect
37. #15689460C22semidirect
38. #15689458C22semidirect
39. #15689365C22semidirect
40. #15689363C22semidirect
41. #15689281C22semidirect
42. #15689280C22semidirect
43. #15689278C22semidirect
44. C2×#13093957C22semidirect
45. C2×#13093949C22semidirect
46. C2×#13093947C22semidirect
47. C2×#13093947C22semidirect
53. C47×#484C22semidirect
54. C2×#107×C47C22semidirect
55. C2×#103×C47C22semidirect
80. C2×Dic188C23semidirect
82. C2×#10625337C23semidirect
118. #13093957C23semidirect
119. #13093949C23semidirect
120. #13093947C23semidirect
121. #13093947C23semidirect
137. #107×C47C23semidirect
138. #103×C47C23semidirect
143. C23×D47Q16semidirect
241. C22×D47C2×Q16semidirect
323. C2×#484D47semidirect
331. C2×C47#3189semidirect
365. #484C2×D47semidirect
372. C2×#107C2×D47semidirect
376. C2×#103C2×D47semidirect
381. C47C2×#3189semidirect
457. #107C22×D47semidirect
461. #103C22×D47semidirect
645. C2#20254162direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130940042
C2×C22⋊Q8×D472
#202541622
C2×#156894602
C2×#156894582
C2×#156893652
C2×#156893632
C2×#156892812
C2×#156892802
C2×#156892782
C2×C22⋊C8×D472
C2×C47×#4842
C2×#318947