Finite Group Databasebeta

← #35326401

Subgroups — #35326401

Order 21248.

2222 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×Dic83⋊C4C211yesmaximal, characteristic
2C2×#19127582C212yesmaximal, complemented
3C2×C22⋊C4×Dic83C211yesmaximal, characteristic
4#24905729C212yesmaximal, complemented
5#24905713C212yesmaximal, complemented
6#24905694C212yesmaximal, complemented
7#24905686C211yesmaximal, characteristic
8#24905685C211yesmaximal, characteristic
9#24905685C211yesmaximal, characteristic
10#24905685C211yesmaximal, characteristic
11C2×#380×C83C211yesmaximal, characteristic
12C24×Dic83C2211yescharacteristic
13C24×Dic83C2211yescharacteristic
14C22×Dic83⋊C4—28no—
15C22×Dic83⋊C4C418yescomplemented
16C22×Dic83⋊C4C2211yescharacteristic
17C22×Dic83⋊C4C2211yescharacteristic
18C22×Dic83⋊C4C2211yescharacteristic
19C22×Dic83⋊C4C2211yescharacteristic
20C22×C22⋊Dic83C2211yescharacteristic
21C22×C22⋊Dic83C2211yescharacteristic
22C22×C4×Dic83C2212yes—
23#19127582—28no—
24C22⋊C4×Dic83—24no—
25C2×C83⋊#95C2212yes—
26C2×C83⋊#95C2212yes—
27C2×C83⋊#95C2212yes—
28C2×C83⋊#95C2212yes—
29C2×C83⋊#95C2212yes—
30C2×C83⋊#95C2212yes—
31C2×C83⋊#95C2212yes—
32C2×C83⋊#95C2212yes—
33C2×C83⋊#95C2212yes—
34C24×C4×C83C2211yescharacteristic
35C22×C4⋊C4×C83C2212yes—
36C22×C22⋊C4×C83C2211yescharacteristic
37C22×C22⋊C4×C83C2211yescharacteristic
38#380×C83—24no—
39C2×#95×C83C2212yes—
40C23×Dic83—24no—
41C23×Dic83—24no—
42C23×Dic83—24no—
43C23×Dic83—22no—
44C23×Dic83—22no—
45C23×Dic83—22no—
46C23×Dic83—22no—
47C23×Dic83—42no—
48C23×Dic83C2×C414yes—
49C23×Dic83C2×C414yes—
50C23×Dic83C2312yes—
51C23×Dic83C2311yescharacteristic
52C23×Dic83C2312yes—
53C23×Dic83C2311yescharacteristic
54C23×Dic83C2311yescharacteristic
55C23×Dic83C2311yescharacteristic
56C2×Dic83⋊C4—24no—
57C2×Dic83⋊C4—24no—
58C2×Dic83⋊C4—232no—
59C2×Dic83⋊C4—24no—
60C2×Dic83⋊C4C2×C414yes—
61C2×Dic83⋊C4C2×C414yes—
62C2×Dic83⋊C4C2×C414yes—
63C2×Dic83⋊C4C2×C414yes—
64C2×Dic83⋊C4D418yes—
65C2×C22⋊Dic83—22no—
66C2×C22⋊Dic83—22no—
67C2×C22⋊Dic83—22no—
68C2×C22⋊Dic83—22no—
69C2×C22⋊Dic83—22no—
70C2×C22⋊Dic83Q814yes—
71C2×C4×Dic83—24no—
72C2×C4×Dic83—24no—
73C2×C4×Dic83—42no—
74C83⋊#95—24no—
75C83⋊#95—24no—
76C83⋊#95—24no—
77C83⋊#95—24no—
78C83⋊#95—24no—
79C83⋊#95—24no—
80C83⋊#95—24no—
81C83⋊#95—42no—
82C83⋊#95—42no—
83C25×C83C2311yescharacteristic
84C23×C4×C83—22no—
85C23×C4×C83—22no—
86C23×C4×C83—24no—
87C23×C4×C83—42no—
88C23×C4×C83C2×C414yes—
89C23×C4×C83C2312yes—
90C23×C4×C83C2311yescharacteristic
91C23×C4×C83C2312yes—
92C23×C4×C83C2311yescharacteristic
93C2×C4⋊C4×C83—24no—
94C2×C4⋊C4×C83—24no—
95C2×C4⋊C4×C83—42no—
96C2×C22⋊C4×C83—22no—
97C2×C22⋊C4×C83—22no—
98C2×C22⋊C4×C83—22no—
99C2×C22⋊C4×C83—22no—
100C2×C22⋊C4×C83—22no—
101C2×C22⋊C4×C83D414yes—
102#95×C83—24no—
103C22×Dic83—216no—
104C22×Dic83—216no—
105C22×Dic83—28no—
106C22×Dic83—21no—
107C22×Dic83—22no—
108C22×Dic83—22no—
109C22×Dic83—21no—
110C22×Dic83—21no—
111C22×Dic83—21no—
112C22×Dic83—21no—
113C22×Dic83—21no—
114C22×Dic83—22no—
115C22×Dic83—28no—
116C22×Dic83—28no—
117C22×Dic83—28no—
118C22×Dic83—21no—
119C22×Dic83—22no—
120C22×Dic83—22no—
121C22×Dic83—22no—
122C22×Dic83—21no—
123C22×Dic83—22no—
124C22×Dic83—22no—
125C22×Dic83—22no—
126C22×Dic83—22no—
127C22×Dic83—22no—
128C22×Dic83—28no—
129C22×Dic83—22no—
130C22×Dic83—22no—
131C22×Dic83—22no—
132C22×Dic83—22no—
133C22×Dic83—22no—
134C22×Dic83—22no—
135C22×Dic83—22no—
136C22×Dic83—44no—
137C22×Dic83—48no—
138C22×Dic83—48no—
139C22×Dic83C22×C412yes—
140C22×Dic83C22×C412yes—
141C22×Dic83C22×C412yes—
142C22×Dic83C22×C412yes—
143C22×Dic83C2×D414yes—
144C22×Dic83C2×D414yes—
145C22×Dic83C2×Q814yes—
146C22×Dic83#4114yes—
147Dic83⋊C4—28no—
148Dic83⋊C4—28no—
149Dic83⋊C4—28no—
150Dic83⋊C4C22⋊C4116yescomplemented
151C22⋊Dic83—28no—
152C22⋊Dic83—44no—
153C4×Dic83—48no—
154C24×C83—22no—
155C24×C83—22no—
156C24×C83—22no—
157C24×C83—22no—
158C24×C83C22×C412yes—
159C24×C83C2×D412yes—
160C24×C83C2×Q812yes—
161C24×C83#4112yes—
162C24×C83#4112yes—
163C24×C83#4112yes—
164C24×C83#4112yes—
165C24×C83C2411yescharacteristic
166C22×C4×C83—21no—
167C22×C4×C83—21no—
168C22×C4×C83—22no—
169C22×C4×C83—28no—
170C22×C4×C83—21no—
171C22×C4×C83—22no—
172C22×C4×C83—22no—
173C22×C4×C83—22no—
174C22×C4×C83—22no—
175C22×C4×C83—21no—
176C22×C4×C83—22no—
177C22×C4×C83—22no—
178C22×C4×C83—22no—
179C22×C4×C83—22no—
180C22×C4×C83—28no—
181C22×C4×C83—22no—
182C22×C4×C83—22no—
183C22×C4×C83—22no—
184C22×C4×C83—22no—
185C22×C4×C83—22no—
186C22×C4×C83—22no—
187C22×C4×C83—22no—
188C22×C4×C83—44no—
189C22×C4×C83—48no—
190C22×C4×C83—48no—
191C22×C4×C83C22×C412yes—
192C22×C4×C83C22×C412yes—
193C22×C4×C83C2×D414yes—
194C22×C4×C83C2×D414yes—
195C4⋊C4×C83—48no—
196C22⋊C4×C83—28no—
197C22⋊C4×C83—44no—
198C23×C83—22no—
199C23×C83—22no—
200C23×C83—22no—
201C23×C83—22no—
202C23×C83—24no—
203C23×C83—24no—
204C23×C83—24no—
205C23×C83—24no—
206C23×C83—24no—
207C23×C83—24no—
208C23×C83—24no—
209C23×C83—24no—
210C23×C83—24no—
211C23×C83—24no—
212C23×C83—24no—
213C23×C83—24no—
214C23×C83#11714yes—
215C23×C83C4×D414yes—
216C23×C83C4×Q814yes—
217C23×C83C22⋊Q814yes—
218C23×C83#12314yes—
219C23×C83#12514yes—
220C23×C83#12614yes—
221C23×C83C23×C411yescharacteristic
222C23×C83C22×D412yes—
223C23×C83C22×D411yescharacteristic
224C23×C83C22×Q811yescharacteristic
225C23×C83C2×#4112yes—
226C23×C83C2×#4111yescharacteristic
227C23×C83C2×#4111yescharacteristic
228C23×C83C2×#4111yescharacteristic
229C23×C83C2×#4111yescharacteristic
230C23×C83H(5,𝔽2)12yes—
231C23×C832−1+412yes—
232C2×C4×C83—22no—
233C2×C4×C83—22no—
234C2×C4×C83—24no—
235C2×C4×C83—24no—
236C2×C4×C83—22no—
237C2×C4×C83—22no—
238C2×C4×C83—22no—
239C2×C4×C83—24no—
240C2×C4×C83—24no—
241C2×C4×C83—24no—
242C2×C4×C83—416no—
243C2×C4×C83—42no—
244C2×C4×C83—42no—
245C2×C4×C83—42no—
246C2×C4×C83—42no—
247C2×C4×C83—42no—
248C2×C4×C83—42no—
249C2×C4×C83—42no—
250C2×C4×C83—42no—
251C2×C4×C83—42no—
252C2×C4×C83—42no—
253C2×C4×C83—42no—
254C2×C4×C83—42no—
255C2×C4×C83—42no—
256C2×C4×C83C2×C22⋊C414yes—
257C2×Dic83—232no—
258C2×Dic83—22no—
259C2×Dic83—22no—
260C2×Dic83—22no—
261C2×Dic83—22no—
262C2×Dic83—22no—
263C2×Dic83—22no—
264C2×Dic83—24no—
265C2×Dic83—24no—
266C2×Dic83—24no—
267C2×Dic83—24no—
268C2×Dic83—24no—
269C2×Dic83—24no—
270C2×Dic83—22no—
271C2×Dic83—22no—
272C2×Dic83—22no—
273C2×Dic83—24no—
274C2×Dic83—24no—
275C2×Dic83—24no—
276C2×Dic83—416no—
277C2×Dic83—42no—
278C2×Dic83—42no—
279C2×Dic83—42no—
280C2×Dic83—42no—
281C2×Dic83—42no—
282C2×Dic83—42no—
283C2×Dic83—42no—
284C2×Dic83—42no—
285C2×Dic83—42no—
286C2×Dic83—42no—
287C2×Dic83—42no—
288C2×Dic83—42no—
289C2×Dic83—42no—
290C2×Dic83C2×C22⋊C414yes—
291C2×Dic83C2×C22⋊C414yes—
292C2×Dic83#11714yes—
293C22×C83—24no—
294C22×C83—24no—
295C22×C83—24no—
296C22×C83—24no—
297C22×C83—24no—
298C22×C83—28no—
299C22×C83—28no—
300C22×C83—28no—
301C22×C83—28no—
302C22×C83—24no—
303C22×C83#38718yescomplemented
304C22×C83C22×C22⋊C411yescharacteristic
305C22×C83C2×#11711yescharacteristic
306C22×C83C2×#11711yescharacteristic
307C22×C83C2×C4×D411yescharacteristic
308C22×C83C2×C4×Q811yescharacteristic
309C22×C83#51811yescharacteristic
310C22×C83#51911yescharacteristic
311C22×C83C2×C22⋊Q811yescharacteristic
312C22×C83C2×#12311yescharacteristic
313C22×C83#52512yes—
314C22×C83#52512yes—
315C22×C83C2×#12511yescharacteristic
316C22×C83C2×#12611yescharacteristic
317C22×C83#53912yes—
318C22×C83#53912yes—
319C22×C83D4212yes—
320C22×C83#54612yes—
321C22×C83#54712yes—
322C22×C83#54812yes—
323C22×C83D4×Q812yes—
324C22×C83#55212yes—
325C22×C83#55312yes—
326C22×C83#55412yes—
327C4×C83—24no—
328C4×C83—42no—
329C4×C83—44no—
330C4×C83—82no—
331Dic83—24no—
332Dic83—24no—
333Dic83—24no—
334Dic83—42no—
335Dic83—44no—
336Dic83—82no—
337#13882—831nomaximal, Sylow
338C2×C83—28no—
339C2×C83#228011yescharacteristic
340C2×C83C2×#38711yescharacteristic
341C2×C83#231311yescharacteristic
342C2×C83D4×C22⋊C411yescharacteristic
343C2×C83Q8×C22⋊C411yescharacteristic
344C2×C83#234411yescharacteristic
345C2×C83#234511yescharacteristic
346C2×C83#244312yes—
347C2×C83#244912yes—
348C2×C83#247312yes—
349C2×C83#248112yes—
350C23×C4⋊C4—831no—
351C2×#387—832no—
352C2×#380D8311yescharacteristic
353C2×C4×C22⋊C4—831no—
354#1445—832no—
355#1441—832no—
356#1436—832no—
357C22⋊#95—831no—
358C22⋊#95—831no—
359C22⋊#95—831no—
360C22⋊#95—831no—
361C83#1388211yescharacteristic, complemented, Sylow
362C24×C4—831no—
363C24×C4—831no—
364C24×C4C2×D8311yescharacteristic
365C22×C4⋊C4—831no—
366C22×C4⋊C4—838no—
367C22×C4⋊C4—831no—
368C22×C4⋊C4—831no—
369C22×C4⋊C4—831no—
370C22×C4⋊C4—1668no—
371C22×C4⋊C4C2×D8312yes—
372C22×C22⋊C4—831no—
373C22×C22⋊C4—831no—
374C22×C22⋊C4C2×D8311yescharacteristic
375C22×C22⋊C4C2×D8311yescharacteristic
376C22×C42—832no—
377#387—1668no—
378#380—24no—
379C4×C22⋊C4—1664no—
380C2×#95—832no—
381C2×#95—832no—
382C2×#95—832no—
383C2×#95—832no—
384C2×#95—832no—
385C2×#95—832no—
386C2×#95—832no—
387C2×#95—832no—
388C2×#95—832no—
389C2×#95C2×D8312yes—
390C25C22×D8311yescharacteristic
391C23×C4—22no—
392C23×C4—22no—
393C23×C4—24no—
394C23×C4—42no—
395C23×C4—3322no—
396C23×C4—834no—
397C23×C4—831no—
398C23×C4—831no—
399C23×C4—831no—
400C23×C4—834no—
401C23×C4—832no—
402C23×C4—831no—
403C23×C4—832no—
404C23×C4—1664no—
405C23×C4—1662no—
406C23×C4—1662no—
407C23×C4—1664no—
408C23×C4—1664no—
409C23×C4—1662no—
410C23×C4—1662no—
411C23×C4C4×D8314yes—
412C23×C4C22×D8312yes—
413C23×C4C22×D8311yescharacteristic
414C23×C4C22×D8312yes—
415C23×C4C22×D8311yescharacteristic
416C2×C4⋊C4—24no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—42no—
419C2×C4⋊C4—834no—
420C2×C4⋊C4—838no—
421C2×C4⋊C4—834no—
422C2×C4⋊C4—834no—
423C2×C4⋊C4—834no—
424C2×C4⋊C4—16632no—
425C2×C4⋊C4—1664no—
426C2×C4⋊C4—1664no—
427C2×C4⋊C4—1664no—
428C2×C22⋊C4—22no—
429C2×C22⋊C4—22no—
430C2×C22⋊C4—22no—
431C2×C22⋊C4—22no—
432C2×C22⋊C4—22no—
433C2×C22⋊C4—834no—
434C2×C22⋊C4—1662no—
435C2×C22⋊C4—1662no—
436C2×C22⋊C4—1662no—
437C2×C22⋊C4—1662no—
438C2×C22⋊C4—1662no—
439C2×C22⋊C4C22⋊D8314yes—
440C2×C42—3322no—
441C2×C42—1664no—
442C2×C42—1664no—
443#95—24no—
444#95—3322no—
445#95—3322no—
446#95—1664no—
447#95—1664no—
448#95—1664no—
449#95—1664no—
450#95—1664no—
451#95—1664no—
452#95—1664no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24C2×C4×D8312yes—
458C24C2×C22⋊D8312yes—
459C24Q8×D8312yes—
460C24#1305058912yes—
461C24#1305058912yes—
462C24#1305059012yes—
463C24#1305059112yes—
464C24C23×D8311yescharacteristic
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—28no—
479C22×C4—28no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—44no—
488C22×C4—48no—
489C22×C4—48no—
490C22×C4—3328no—
491C22×C4—3328no—
492C22×C4—3324no—
493C22×C4—832no—
494C22×C4—832no—
495C22×C4—832no—
496C22×C4—834no—
497C22×C4—834no—
498C22×C4—834no—
499C22×C4—832no—
500C22×C4—834no—
501C22×C4—1662no—
502C22×C4—1662no—
503C22×C4—1662no—
504C22×C4—1662no—
505C22×C4—1662no—
506C22×C4—1662no—
507C22×C4—1662no—
508C22×C4—1668no—
509C22×C4—1662no—
510C22×C4—1662no—
511C22×C4—1661no—
512C22×C4—1662no—
513C22×C4—1662no—
514C22×C4—1661no—
515C22×C4—1662no—
516C22×C4—1662no—
517C22×C4—1662no—
518C22×C4—1662no—
519C22×C4—1668no—
520C22×C4—1668no—
521C22×C4—1668no—
522C22×C4—16616no—
523C22×C4—16616no—
524C22×C4—1662no—
525C22×C4—1661no—
526C22×C4—1662no—
527C22×C4—1661no—
528C22×C4—1661no—
529C22×C4—1661no—
530C22×C4—1661no—
531C22×C4—1661no—
532C22×C4—1662no—
533C22×C4—1668no—
534C22×C4C2×C4×D8312yes—
535C22×C4C2×C4×D8312yes—
536C22×C4D4×D8314yes—
537C22×C4C2×C22⋊D8314yes—
538C4⋊C4—48no—
539C4⋊C4—8316no—
540C4⋊C4—1668no—
541C4⋊C4—1668no—
542C4⋊C4—1668no—
543C22⋊C4—28no—
544C22⋊C4—44no—
545C22⋊C4—3324no—
546C22⋊C4—1668no—
547C42—3328no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—22no—
556C23—24no—
557C23—22no—
558C23—22no—
559C23—22no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23#1458175014yes—
565C23C4×C22⋊D8314yes—
566C23#1458175714yes—
567C23#1458176814yes—
568C23#1458177314yes—
569C23#1458178214yes—
570C23#1458178714yes—
571C23C22×C4×D8311yescharacteristic
572C23C2×D4×D8312yes—
573C23C22×C22⋊D8311yescharacteristic
574C23C2×Q8×D8311yescharacteristic
575C23#41×D8312yes—
576C23C2×#1305058911yescharacteristic
577C23C2×#1305058911yescharacteristic
578C23C2×#1305059011yescharacteristic
579C23C2×#1305059111yescharacteristic
580C23#1458183712yes—
581C23#1458183912yes—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—24no—
592C2×C4—416no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—3322no—
607C2×C4—3322no—
608C2×C4—3322no—
609C2×C4—3322no—
610C2×C4—3322no—
611C2×C4—3322no—
612C2×C4—33216no—
613C2×C4—3322no—
614C2×C4—3322no—
615C2×C4—3322no—
616C2×C4—3322no—
617C2×C4—3322no—
618C2×C4—3322no—
619C2×C4—3322no—
620C2×C4—834no—
621C2×C4—834no—
622C2×C4—834no—
623C2×C4—1664no—
624C2×C4—1662no—
625C2×C4—1664no—
626C2×C4—1662no—
627C2×C4—1662no—
628C2×C4—1664no—
629C2×C4—16632no—
630C2×C4—1664no—
631C2×C4—1664no—
632C2×C4—1662no—
633C2×C4—1662no—
634C2×C4—1662no—
635C2×C4—1662no—
636C2×C4—1662no—
637C2×C4—1662no—
638C2×C4—1664no—
639C2×C4—1664no—
640C2×C4—1664no—
641C2×C4—1664no—
642C2×C4C22⋊C4×D8314yes—
643C22—24no—
644C22—28no—
645C22—28no—
646C22—28no—
647C22—24no—
648C22—24no—
649C22—24no—
650C22—28no—
651C22—24no—
652C22—24no—
653C22#1912758218yescomplemented
654C22C2×C22⋊C4×D8311yescharacteristic
655C22#117×D8311yescharacteristic
656C22C2×#1458175011yescharacteristic
657C22C2×C4×C22⋊D8311yescharacteristic
658C22C2×#1458175711yescharacteristic
659C22#1912817411yescharacteristic
660C22#1912817811yescharacteristic
661C22C2×#1458176811yescharacteristic
662C22C2×#1458177311yescharacteristic
663C22#1912821112yes—
664C22#1912821412yes—
665C22C2×#1458178211yescharacteristic
666C22C2×#1458178711yescharacteristic
667C22#1912829612yes—
668C22#1912830012yes—
669C22D4×C22⋊D8312yes—
670C22#1912834112yes—
671C22#1912835012yes—
672C22#1912835712yes—
673C22#1912836412yes—
674C22#1912838412yes—
675C22#1912839412yes—
676C22#1912840512yes—
677C4—24no—
678C4—44no—
679C4—42no—
680C4—82no—
681C4—3324no—
682C4—3322no—
683C4—6642no—
684C4—1664no—
685C4—1664no—
686C4—1664no—
687C2—28no—
688C2#2490984511yescharacteristic
689C2C2×#1912758211yescharacteristic
690C2#2491006511yescharacteristic
691C2C22⋊C4×C22⋊D8311yescharacteristic
692C2#2491029511yescharacteristic
693C2#2491033311yescharacteristic
694C2#2491033511yescharacteristic
695C2#2491119412yes—
696C2#2491126812yes—
697C2#2491160912yes—
698C2#2491173112yes—
subgroupG/H
center, FrattiniC24C23×D83
commutatorC23×C83C23×C4
FittingC2×#380×C83C2
socle, cosocleC24×C83C24
prime radicalC25×C83C23
hypercenterC2×#380D83
hypocenterC83#13882
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
2. C2×#19127582C2semidirect
4. #24905729C2semidirect
5. #24905713C2semidirect
6. #24905694C2semidirect
15. C22×Dic83⋊C4C4semidirect
150. Dic83⋊C4C22⋊C4semidirect
303. C22×C83#387semidirect
361. C83#13882semidirect
653. C22#19127582semidirect

Maximal subgroups

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

subgroupindex
C23×Dic83⋊C42
C2×#191275822
C2×C22⋊C4×Dic832
#249057292
#249057132
#249056942
#249056862
#249056852
C2×#380×C832
#1388283