Finite Group Databasebeta

← C2×#19145369 #25967141

Subgroups — C2×#19145369 #25967141

Order 11008.

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×#13063305C211yesmaximal, characteristic
2C2×C22⋊Q8×D43C211yesmaximal, characteristic
3#19145369C2116yesmaximal, direct product factor
4C2×#14583236C212yesmaximal, complemented
5C2×#14583234C211yesmaximal, characteristic, complemented
6C2×#14583141C212yesmaximal, complemented
7C2×#14583139C212yesmaximal, complemented
8C2×#14583057C211yesmaximal, characteristic, complemented
9C2×#14583056C212yesmaximal, complemented
10C2×#14583054C211yesmaximal, characteristic, complemented
11C2×C22⋊C8×D43C211yesmaximal, characteristic
12C2×C43×#484C211yesmaximal, characteristic, complemented
13C23×Dic86C2211yescharacteristic
14C22×Q8×D43C2211yescharacteristic
15C23×C4×D43C2211yescharacteristic
16C22×Dic172C2212yescomplemented
17C22×#10621885C2212yescomplemented
18C22×C8×D43C2212yes—
19C2×#13063305—21no—
20C2×#13063305—24no—
21C2×#13063305—21no—
22C2×#13063305C2211yescharacteristic
23C2×#13063305C2212yes—
24C2×#13063305C2218yes—
25C2×#13063305C2212yes—
26C2×#13063304C2211yescharacteristic
27C2×#13063303—21no—
28C2×#13063302—21no—
29C2×#13063301C2211yescharacteristic
30C22⋊Q8×D43—24no—
31C22⋊Q8×D43C2218yes—
32C22×C4⋊Dic43—21no—
33C2×C4⋊C4×D43—21no—
34C2×C4⋊C4×D43C2211yescharacteristic
35C22×(C2×D43)⋊C4—21no—
36C2×C22⋊C4×D43—21no—
37#14583236C22116yescomplemented
38#14583234C2218yescomplemented
39#14583141C22116yescomplemented
40#14583139C22116yescomplemented
41#14583057C2218yescomplemented
42#14583056C22116yescomplemented
43#14583054C2218yescomplemented
44C2×#13063258C2212yescomplemented
45C2×#13063250C2212yescomplemented
46C2×#13063248C2212yescomplemented
47C2×#13063248C2212yescomplemented
48C2×C22⋊(C43⋊C8)C2211yescharacteristic
49C2×(C2×D43)⋊C8C2212yes—
50C22⋊C8×D43C2218yes—
51C2×C22⋊Q8×C43C2211yescharacteristic
52C22×C4⋊C4×C43C2211yescharacteristic
53C43×#484C2218yescomplemented
54C2×#107×C43C2212yescomplemented
55C2×#103×C43C2212yescomplemented
56C2×C22⋊C8×C43C2211yescharacteristic
57C24×D43D411yescharacteristic
58C22×Dic86—21no—
59C22×Dic86—22no—
60C22×Dic86—21no—
61C22×Dic86—44no—
62C22×Dic86C2311yescharacteristic
63C22×Dic86C2312yes—
64C22×Dic86C2314yes—
65C2×Q8×D43—22no—
66C2×Q8×D43—44no—
67C2×Q8×D43C2314yes—
68C23×Dic43—21no—
69C23×Dic43D411yescharacteristic
70C22×C4×D43—21no—
71C22×C4×D43—21no—
72C22×C4×D43—44no—
73C22×C4×D43D411yescharacteristic
74C22×C4×D43D414yes—
75C22×C4×D43D411yescharacteristic
76C22×C4×D43C2311yescharacteristic
77C22×C4×D43C2311yescharacteristic
78C22×C4×D43C2314yes—
79C2×Dic172—44no—
80C2×Dic172C2318yescomplemented
81C2×#10621885—44no—
82C2×#10621885C2318yescomplemented
83C22×C43⋊C8C2312yes—
84C2×C8×D43—44no—
85C2×C8×D43C2318yes—
86#13063305—22no—
87#13063305—24no—
88#13063305—24no—
89#13063305—28no—
90#13063305—28no—
91#13063305C2318yes—
92#13063305C2314yes—
93#13063305C2318yes—
94#13063304—22no—
95#13063304C2314yes—
96#13063303—28no—
97#13063302—28no—
98#13063301—22no—
99#13063301C2314yes—
100C2×C4⋊Dic43—21no—
101C2×C4⋊Dic43—22no—
102C2×C4⋊Dic43—22no—
103C2×C4⋊Dic43—28no—
104C2×C4⋊Dic43C2311yescharacteristic
105C2×Dic43⋊C4—21no—
106C2×Dic43⋊C4—21no—
107C2×Dic43⋊C4—21no—
108C4⋊C4×D43—28no—
109C4⋊C4×D43—22no—
110C4⋊C4×D43C2314yes—
111C2×C22⋊Dic43—21no—
112C2×(C2×D43)⋊C4—21no—
113C2×(C2×D43)⋊C4—21no—
114C2×(C2×D43)⋊C4—22no—
115C2×(C2×D43)⋊C4—22no—
116C2×(C2×D43)⋊C4—28no—
117C22⋊C4×D43—28no—
118#13063258C2318yescomplemented
119#13063250C2318yescomplemented
120#13063248C2318yescomplemented
121#13063248C2318yescomplemented
122C22⋊(C43⋊C8)C2314yes—
123(C2×D43)⋊C8C2318yes—
124C22×Q8×C43C2311yescharacteristic
125C23×C4×C43—21no—
126C23×C4×C43C2311yescharacteristic
127C22×C8×C43C2312yes—
128C22⋊Q8×C43—22no—
129C22⋊Q8×C43C2314yes—
130C2×C4⋊C4×C43—21no—
131C2×C4⋊C4×C43—22no—
132C2×C4⋊C4×C43—21no—
133C2×C4⋊C4×C43C2312yes—
134C2×C4⋊C4×C43C2314yes—
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C22⋊C4×C43—21no—
137#107×C43C2318yescomplemented
138#103×C43C2318yescomplemented
139C22⋊C8×C43C2314yes—
140C24×C43C2×D411yescharacteristic
141C23×D43—42no—
142C23×D43—42no—
143C23×D43Q1618yescomplemented
144C23×D43C2×D411yescharacteristic
145C23×D43C2×D411yescharacteristic
146C23×D43C2×D414yes—
147C2×Q8×C43—21no—
148C2×Q8×C43—24no—
149C2×Q8×C43C2412yes—
150C22×C4×C43—24no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—24no—
154C22×C4×C43—22no—
155C22×C4×C43—44no—
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2×D412yes—
158C22×C4×C43C2412yes—
159C22×C4×C43C2411yescharacteristic
160C22×Dic43—24no—
161C22×Dic43—22no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—42no—
165C22×Dic43—44no—
166C22×Dic43C2×D411yescharacteristic
167C22×Dic43C2×D411yescharacteristic
168C22×Dic43C2×D414yes—
169Q8×D43—48no—
170Q8×D43—48no—
171C2×C4×D43—24no—
172C2×C4×D43—24no—
173C2×C4×D43—24no—
174C2×C4×D43—24no—
175C2×C4×D43—42no—
176C2×C4×D43—42no—
177C2×C4×D43—44no—
178C2×C4×D43—44no—
179C2×C4×D43—48no—
180C2×C4×D43—48no—
181C2×C4×D43C2×D412yes—
182C2×C4×D43C2×D412yes—
183C2×C4×D43C2×D414yes—
184C2×C4×D43C2×D414yes—
185C2×C4×D43C2412yes—
186C2×C4×D43C2412yes—
187C2×Dic86—24no—
188C2×Dic86—24no—
189C2×Dic86—24no—
190C2×Dic86—21no—
191C2×Dic86—24no—
192C2×Dic86—22no—
193C2×Dic86—24no—
194C2×Dic86—48no—
195C2×Dic86—44no—
196C2×Dic86—44no—
197C2×Dic86—48no—
198C2×Dic86C2412yes—
199C2×Dic86C2414yes—
200C2×C8×C43—24no—
201C2×C8×C43C2414yes—
202C4⋊C4×C43—24no—
203C4⋊C4×C43—22no—
204C4⋊C4×C43—24no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43C2414yes—
207C4⋊C4×C43C2412yes—
208C22⋊C4×C43—24no—
209C22⋊Dic43—24no—
210#10621885—48no—
211(C2×D43)⋊C4—24no—
212(C2×D43)⋊C4—24no—
213(C2×D43)⋊C4—28no—
214(C2×D43)⋊C4—28no—
215C4⋊Dic43—21no—
216C4⋊Dic43—24no—
217C4⋊Dic43—28no—
218C4⋊Dic43—28no—
219C4⋊Dic43C2412yes—
220Dic43⋊C4—24no—
221Dic43⋊C4—24no—
222Dic43⋊C4—24no—
223C2×C43⋊C8—24no—
224C2×C43⋊C8C2414yes—
225Dic172—48no—
226C8×D43—48no—
227C23×C43—22no—
228C23×C43—22no—
229C23×C43C2×Q1614yes—
230C23×C43C22×D412yes—
231C23×C43C22×D411yescharacteristic
232C22×D43—22no—
233C22×D43—22no—
234C22×D43—22no—
235C22×D43—22no—
236C22×D43—44no—
237C22×D43—416no—
238C22×D43—44no—
239C22×D43C2×Q1614yes—
240C22×D43C2×Q1614yes—
241C22×D43C2×Q16116yescomplemented
242C22×D43C22×D412yes—
243C22×D43C22×D412yes—
244Q8×C43—24no—
245Q8×C43—42no—
246C2×C4×C43—22no—
247C2×C4×C43—24no—
248C2×C4×C43—24no—
249C2×C4×C43—22no—
250C2×C4×C43—22no—
251C2×C4×C43—24no—
252C2×C4×C43—48no—
253C2×C4×C43—42no—
254C2×C4×C43—42no—
255C2×C4×C43—44no—
256C2×C4×C43C22×D412yes—
257C2×C4×C43C22×D411yescharacteristic
258C2×C4×C43H(5,𝔽2)14yes—
259C2×C4×C43C2511yescharacteristic
260C2×Dic43—22no—
261C2×Dic43—22no—
262C2×Dic43—22no—
263C2×Dic43—22no—
264C2×Dic43—24no—
265C2×Dic43—44no—
266C2×Dic43—48no—
267C2×Dic43—42no—
268C2×Dic43—44no—
269C2×Dic43—42no—
270C2×Dic43C22×D412yes—
271C2×Dic43C22×D412yes—
272C4×D43—24no—
273C4×D43—24no—
274C4×D43—24no—
275C4×D43—24no—
276C4×D43—44no—
277C4×D43—44no—
278C4×D43—48no—
279C4×D43—48no—
280Dic86—24no—
281Dic86—24no—
282Dic86—24no—
283Dic86—48no—
284Dic86—48no—
285Dic86—44no—
286Dic86—42no—
287C8×C43—24no—
288C43⋊C8—24no—
289C2×#3189—431nomaximal, Sylow
290C22×C43—28no—
291C22×C43—22no—
292C22×C43—22no—
293C22×C43#53412yes—
294C22×C43C22×Q1614yes—
295C22×C43C22×Q1612yes—
296C22×C43#57512yes—
297C22×C43C23×D411yescharacteristic
298C2×D43—28no—
299C2×D43—28no—
300C2×D43—22no—
301C2×D43—22no—
302C2×D43—22no—
303C2×D43—22no—
304C2×D43—416no—
305C2×D43C22×Q1614yes—
306C2×D43C22×Q1614yes—
307C4×C43—22no—
308C4×C43—42no—
309C4×C43—42no—
310C4×C43—44no—
311C4×C43#53412yes—
312C4×C43C2×H(5,𝔽2)12yes—
313Dic43—22no—
314Dic43—22no—
315Dic43—42no—
316Dic43—44no—
317Dic43—42no—
318C22×C22⋊Q8—431no—
319C22×C22⋊Q8—431no—
320#3189—4316no—
321C2×#484—432no—
322C2×#484—431no—
323C2×#484D4311yescharacteristic, complemented
324C2×#467—432no—
325C2×#467—432no—
326C2×#451—432no—
327C2×#451—431no—
328C2×#451—431no—
329C22×C22⋊C8—431no—
330C2×C43—24no—
331C2×C43#318914yescomplemented
332C2×C43C2×#53411yescharacteristic
333C2×C43C23×Q1611yescharacteristic
334C2×C43C2×#57511yescharacteristic
335D43—24no—
336D43—24no—
337C23×Q8—431no—
338C23×Q8—431no—
339C24×C4—431no—
340C22×Q16—432no—
341C22×Q16—432no—
342C23×C8—432no—
343C2×C22⋊Q8—431no—
344C2×C22⋊Q8—431no—
345C2×C22⋊Q8—438no—
346C2×C22⋊Q8—432no—
347C2×C22⋊Q8—438no—
348C2×C22⋊Q8—431no—
349C2×C22⋊Q8—432no—
350C2×C22⋊Q8—861no—
351C2×C22⋊Q8—861no—
352C2×C22⋊Q8—861no—
353C2×C22⋊Q8—864no—
354C2×C22⋊Q8—861no—
355C2×C22⋊Q8—864no—
356C2×C22⋊Q8C2×D4311yescharacteristic
357C22×C4⋊C4—431no—
358C22×C4⋊C4—861no—
359C22×C4⋊C4—861no—
360C22×C4⋊C4C2×D4311yescharacteristic
361C22×C22⋊C4—861no—
362C22×C22⋊C4—861no—
363#484—438no—
364#484—4316no—
365#484C2×D4318yescomplemented
366#467—4316no—
367#467—4316no—
368#451—438no—
369#451—4316no—
370#451—438no—
371C2×#107—432no—
372C2×#107C2×D4312yescomplemented
373C2×#103—432no—
374C2×#103—432no—
375C2×#103—432no—
376C2×#103C2×D4312yescomplemented
377C2×C22⋊C8—431no—
378C2×C22⋊C8—432no—
379C2×C22⋊C8—438no—
380C2×C22⋊C8C2×D4311yescharacteristic
381C43C2×#318911yescharacteristic, complemented, Sylow
382C25—431no—
383C22×Q8—434no—
384C22×Q8—431no—
385C22×Q8—432no—
386C22×Q8—434no—
387C22×Q8—861no—
388C22×Q8—862no—
389C22×Q8—862no—
390C22×Q8—861no—
391C22×Q8—1724no—
392C22×Q8—1724no—
393C22×Q8C22×D4311yescharacteristic
394C23×C4—21no—
395C23×C4—431no—
396C23×C4—431no—
397C23×C4—431no—
398C23×C4—431no—
399C23×C4—431no—
400C23×C4—434no—
401C23×C4—434no—
402C23×C4—861no—
403C23×C4—861no—
404C23×C4—861no—
405C23×C4—1724no—
406C23×C4C22×D4311yescharacteristic
407C2×Q16—438no—
408C2×Q16—438no—
409C2×Q16—1724no—
410C2×Q16—1724no—
411C22×C8—432no—
412C22×C8—438no—
413C22×C8—1724no—
414C22×C8C22×D4312yes—
415C22⋊Q8—22no—
416C22⋊Q8—434no—
417C22⋊Q8—434no—
418C22⋊Q8—438no—
419C22⋊Q8—434no—
420C22⋊Q8—438no—
421C22⋊Q8—868no—
422C22⋊Q8—868no—
423C22⋊Q8—864no—
424C22⋊Q8—864no—
425C22⋊Q8—868no—
426C22⋊Q8—868no—
427C22⋊Q8—862no—
428C22⋊Q8—862no—
429C22⋊Q8—862no—
430C22⋊Q8C22×D4314yes—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—431no—
435C2×C4⋊C4—434no—
436C2×C4⋊C4—862no—
437C2×C4⋊C4—868no—
438C2×C4⋊C4—861no—
439C2×C4⋊C4—861no—
440C2×C4⋊C4—868no—
441C2×C4⋊C4—861no—
442C2×C4⋊C4—862no—
443C2×C4⋊C4—862no—
444C2×C4⋊C4—861no—
445C2×C4⋊C4C22×D4311yescharacteristic
446C2×C4⋊C4C22×D4312yes—
447C2×C4⋊C4C22×D4314yes—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—868no—
450C2×C22⋊C4—868no—
451C2×C22⋊C4—861no—
452C2×C22⋊C4—861no—
453C2×C22⋊C4—862no—
454C2×C22⋊C4—862no—
455C2×C22⋊C4—861no—
456#107—438no—
457#107C22×D4318yescomplemented
458#103—438no—
459#103—438no—
460#103—438no—
461#103C22×D4318yescomplemented
462C22⋊C8—434no—
463C22⋊C8—438no—
464C22⋊C8C22×D4314yes—
465C24—431no—
466C24—431no—
467C24—438no—
468C24—434no—
469C24—1722no—
470C24—1722no—
471C24D4×D4311yescharacteristic
472C2×Q8—21no—
473C2×Q8—24no—
474C2×Q8—434no—
475C2×Q8—432no—
476C2×Q8—864no—
477C2×Q8—864no—
478C2×Q8—862no—
479C2×Q8—861no—
480C2×Q8—864no—
481C2×Q8—864no—
482C2×Q8—864no—
483C2×Q8—1728no—
484C2×Q8—1724no—
485C2×Q8—1728no—
486C2×Q8—1724no—
487C2×Q8—1728no—
488C2×Q8—1728no—
489C2×Q8C23×D4312yes—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—44no—
496C22×C4—431no—
497C22×C4—431no—
498C22×C4—434no—
499C22×C4—432no—
500C22×C4—432no—
501C22×C4—432no—
502C22×C4—432no—
503C22×C4—434no—
504C22×C4—434no—
505C22×C4—864no—
506C22×C4—864no—
507C22×C4—864no—
508C22×C4—864no—
509C22×C4—864no—
510C22×C4—861no—
511C22×C4—862no—
512C22×C4—861no—
513C22×C4—1728no—
514C22×C4—1728no—
515C22×C4—1722no—
516C22×C4—1722no—
517C22×C4—1724no—
518C22×C4—1724no—
519C22×C4—1722no—
520C22×C4—1724no—
521C22×C4D4×D4312yes—
522C22×C4D4×D4311yescharacteristic
523C22×C4C23×D4312yes—
524C22×C4C23×D4311yescharacteristic
525Q16—1728no—
526Q16—1728no—
527C2×C8—24no—
528C2×C8—434no—
529C2×C8—864no—
530C2×C8—1728no—
531C2×C8C23×D4314yes—
532C4⋊C4—24no—
533C4⋊C4—22no—
534C4⋊C4—24no—
535C4⋊C4—21no—
536C4⋊C4—432no—
537C4⋊C4—864no—
538C4⋊C4—864no—
539C4⋊C4—864no—
540C4⋊C4—868no—
541C4⋊C4—868no—
542C4⋊C4—861no—
543C4⋊C4—864no—
544C4⋊C4C23×D4312yes—
545C4⋊C4C23×D4314yes—
546C22⋊C4—24no—
547C22⋊C4—864no—
548C22⋊C4—864no—
549C22⋊C4—868no—
550C22⋊C4—868no—
551C22⋊C4—864no—
552C23—22no—
553C23—22no—
554C23—434no—
555C23—434no—
556C23—432no—
557C23—432no—
558C23—4316no—
559C23—862no—
560C23—862no—
561C23—862no—
562C23—862no—
563C23—1724no—
564C23—1724no—
565C23—17216no—
566C23Q16×D4314yes—
567C23C2×D4×D4312yes—
568C23C2×D4×D4311yescharacteristic
569Q8—24no—
570Q8—42no—
571Q8—864no—
572Q8—864no—
573Q8—864no—
574Q8—1728no—
575Q8—1728no—
576Q8—1724no—
577Q8—1722no—
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—432no—
589C2×C4—432no—
590C2×C4—862no—
591C2×C4—862no—
592C2×C4—864no—
593C2×C4—864no—
594C2×C4—864no—
595C2×C4—864no—
596C2×C4—862no—
597C2×C4—864no—
598C2×C4—862no—
599C2×C4—1724no—
600C2×C4—1724no—
601C2×C4—1728no—
602C2×C4—1728no—
603C2×C4—1724no—
604C2×C4—1728no—
605C2×C4—1722no—
606C2×C4—1722no—
607C2×C4—1724no—
608C2×C4C2×D4×D4312yes—
609C2×C4C2×D4×D4311yescharacteristic
610C2×C4#1306337114yes—
611C2×C4C24×D4311yescharacteristic
612C8—24no—
613C8—864no—
614C22—22no—
615C22—22no—
616C22—28no—
617C22—434no—
618C22—434no—
619C22—862no—
620C22—862no—
621C22—862no—
622C22—862no—
623C22—868no—
624C22—868no—
625C22—17216no—
626C22#1458346012yes—
627C22C2×Q16×D4314yes—
628C22C2×Q16×D4312yes—
629C22#1458369512yes—
630C22C22×D4×D4311yescharacteristic
631C4—22no—
632C4—44no—
633C4—42no—
634C4—42no—
635C4—862no—
636C4—862no—
637C4—1722no—
638C4—1722no—
639C4—1724no—
640C4#1458346012yes—
641C4C2×#1306337112yes—
642C2—24no—
643C2—864no—
644C2—864no—
645C2#1914536914yesdirect product factor
646C2C2×#1458346011yescharacteristic
647C2C22×Q16×D4311yescharacteristic
648C2C2×#1458369511yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#484C2
socleC23×C43C22×D4
prime radicalC24×D43D4
hypercenterC2×#484D43
hypocenterC43C2×#3189
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#484

Complements

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

NH ≅ G/Ntype
3. #19145369C2direct (N × H)
4. C2×#14583236C2semidirect
5. C2×#14583234C2semidirect
6. C2×#14583141C2semidirect
7. C2×#14583139C2semidirect
8. C2×#14583057C2semidirect
9. C2×#14583056C2semidirect
10. C2×#14583054C2semidirect
12. C2×C43×#484C2semidirect
16. C22×Dic172C22semidirect
17. C22×#10621885C22semidirect
37. #14583236C22semidirect
38. #14583234C22semidirect
39. #14583141C22semidirect
40. #14583139C22semidirect
41. #14583057C22semidirect
42. #14583056C22semidirect
43. #14583054C22semidirect
44. C2×#13063258C22semidirect
45. C2×#13063250C22semidirect
46. C2×#13063248C22semidirect
47. C2×#13063248C22semidirect
53. C43×#484C22semidirect
54. C2×#107×C43C22semidirect
55. C2×#103×C43C22semidirect
80. C2×Dic172C23semidirect
82. C2×#10621885C23semidirect
118. #13063258C23semidirect
119. #13063250C23semidirect
120. #13063248C23semidirect
121. #13063248C23semidirect
137. #107×C43C23semidirect
138. #103×C43C23semidirect
143. C23×D43Q16semidirect
241. C22×D43C2×Q16semidirect
323. C2×#484D43semidirect
331. C2×C43#3189semidirect
365. #484C2×D43semidirect
372. C2×#107C2×D43semidirect
376. C2×#103C2×D43semidirect
381. C43C2×#3189semidirect
457. #107C22×D43semidirect
461. #103C22×D43semidirect
645. C2#19145369direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130633052
C2×C22⋊Q8×D432
#191453692
C2×#145832362
C2×#145832342
C2×#145831412
C2×#145831392
C2×#145830572
C2×#145830562
C2×#145830542
C2×C22⋊C8×D432
C2×C43×#4842
C2×#318943