Finite Group Databasebeta

← C4×#15689851 #26376272

Subgroups — C4×#15689851 #26376272

Order 12032.

2220 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
1C2×#15689851C211yesmaximal, characteristic
2#20246485C214yesmaximal
3#20246482C212yesmaximal
4#20246446C211yesmaximal, characteristic
5#20246442C212yesmaximal
6#20246345C211yesmaximal, characteristic
7#20246341C212yesmaximal
8#20246308C212yesmaximal
9C4⋊C4×Dic94C211yesmaximal, characteristic
10C4×#13094024C211yesmaximal, characteristic
11C4×#13094022C212yesmaximal
12C4×#13094016C212yesmaximal
13C4×#13094014C214yesmaximal
14C42×Dic94C212yesmaximal
15C42×Dic94C211yesmaximal, characteristic
16C4×#13093989C212yesmaximal
17C42×Q8×C47C211yesmaximal, characteristic
18#15689851C4116yesdirect product factor
19C2×#13094024C2211yescharacteristic
20C2×#13094022C2212yes—
21C2×#13094016C2212yes—
22C2×#13094014C2214yes—
23C2×C4×Dic94C2212yes—
24C2×C4×Dic94C2211yescharacteristic
25C2×C4×Dic94C2212yes—
26C2×C4×Dic94C2211yescharacteristic
27C2×C4×Dic94C2212yes—
28C2×C4×Dic94C2211yescharacteristic
29C2×#13093989C2212yes—
30C2×#13093989C2212yes—
31#15689030C2212yes—
32#15689029C2212yes—
33#15689028C2212yes—
34#15689021C2212yes—
35#15689021C2212yes—
36#15689021C2212yes—
37#15689021C2212yes—
38#15689020C2214yes—
39#15689018C2214yes—
40#15689018C2214yes—
41#15689018C2214yes—
42#15689009C2214yes—
43#15689008C2214yes—
44#15689007C2214yes—
45#15689007C2214yes—
46#15689005C2214yes—
47#15689004C2214yes—
48#15688993C2211yescharacteristic
49#15688992C2212yes—
50#15688989C2212yes—
51#15688987C2214yes—
52C4⋊C4×Dic47C2212yes—
53C4⋊C4×Dic47C2212yes—
54C4×Dic47⋊C4C2212yes—
55C4×Dic47⋊C4C2214yes—
56C4×Dic47⋊C4C2214yes—
57C4×Dic47⋊C4C2212yes—
58C4×Dic47⋊C4C2214yes—
59C4×Dic47⋊C4C2214yes—
60C4×Dic47⋊C4C2214yes—
61C4×Dic47⋊C4C2212yes—
62C4×C4⋊Dic47C2211yescharacteristic
63C4×C4⋊Dic47C2212yes—
64C4×C4⋊Dic47C2212yes—
65C4×C4⋊Dic47C2212yes—
66C4×C4⋊Dic47C2211yescharacteristic
67C4×C4⋊Dic47C2212yes—
68C4×C4⋊Dic47C2211yescharacteristic
69#15688974C2214yes—
70#15688974C2214yes—
71C42×Dic47C2214yes—
72C42×Dic47C2212yes—
73C2×C4×Q8×C47C2211yescharacteristic
74C2×C4×Q8×C47C2211yescharacteristic
75C2×C4×Q8×C47C2211yescharacteristic
76C4×C4⋊C4×C47C2211yescharacteristic
77C4×C4⋊C4×C47C2212yes—
78C4×C4⋊C4×C47C2211yescharacteristic
79C4×C4⋊C4×C47C2212yes—
80C4×C4⋊C4×C47C2212yes—
81C4×C4⋊C4×C47C2211yescharacteristic
82C43×C47C2212yes—
83C43×C47C2211yescharacteristic
84C22×Dic94C2312yes—
85C22×Dic94C2311yescharacteristic
86#13094024C2×C418yes—
87#13094022C2×C4116yes—
88#13094016C2×C4116yes—
89#13094014C2×C4132yes—
90C4×Dic94—28no—
91C4×Dic94—24no—
92C4×Dic94—28no—
93C4×Dic94C2×C4116yes—
94C4×Dic94C2×C418yes—
95C4×Dic94Q818yescomplemented
96#13093989—28no—
97#13093989C2×C4116yes—
98C2×C4⋊Dic47C2311yescharacteristic
99C2×C4⋊Dic47C2312yes—
100C2×C4⋊Dic47C2312yes—
101C2×C4⋊Dic47C2312yes—
102C2×C4⋊Dic47C2311yescharacteristic
103C2×C4⋊Dic47C2312yes—
104C2×C4⋊Dic47C2312yes—
105C2×C4⋊Dic47C2311yescharacteristic
106C2×Dic47⋊C4C2314yes—
107C2×Dic47⋊C4C2314yes—
108C2×Dic47⋊C4C2312yes—
109C2×Dic47⋊C4C2314yes—
110C2×Dic47⋊C4C2314yes—
111C2×Dic47⋊C4C2314yes—
112C2×Dic47⋊C4C2314yes—
113C2×Dic47⋊C4C2312yes—
114C2×Dic47⋊C4C2314yes—
115C2×Dic47⋊C4C2312yes—
116C2×C4×Dic47C2312yes—
117C2×C4×Dic47C2314yes—
118C2×C4×Dic47C2314yes—
119C2×C4×Dic47C2314yes—
120C2×C4×Dic47C2312yes—
121C2×C4×Dic47C2312yes—
122C2×C4×Dic47C2312yes—
123C2×C4×Dic47C2314yes—
124C2×C4×Dic47C2314yes—
125C2×C4×Dic47C2312yes—
126C2×C4×Dic47C2312yes—
127C47⋊#95C2314yes—
128C47⋊#95C2314yes—
129C47⋊#95C2312yes—
130C47⋊#95C2314yes—
131C47⋊#95C2314yes—
132C47⋊#95C2312yes—
133C47⋊#95C2314yes—
134C47⋊#95C2312yes—
135C47⋊#95C2314yes—
136C47⋊#95C2314yes—
137C47⋊#95C2314yes—
138C22×Q8×C47C2311yescharacteristic
139C4×Q8×C47—24no—
140C4×Q8×C47—24no—
141C4×Q8×C47C2×C418yes—
142C2×C4⋊C4×C47C2311yescharacteristic
143C2×C4⋊C4×C47C2312yes—
144C2×C4⋊C4×C47C2312yes—
145C2×C4⋊C4×C47C2311yescharacteristic
146C2×C4⋊C4×C47C2312yes—
147C2×C4⋊C4×C47C2311yescharacteristic
148C2×C42×C47C2312yes—
149C2×C42×C47C2311yescharacteristic
150C2×C42×C47C2311yescharacteristic
151C2×C42×C47C2312yes—
152C2×C42×C47C2312yes—
153C2×C42×C47C2312yes—
154C2×C42×C47C2311yescharacteristic
155C2×C42×C47C2312yes—
156C2×C42×C47C2311yescharacteristic
157C2×C42×C47C2312yes—
158C2×C42×C47C2311yescharacteristic
159C2×C42×C47C2311yescharacteristic
160C2×C42×C47C2311yescharacteristic
161#95×C47C2312yes—
162#95×C47C2312yes—
163#95×C47C2312yes—
164C2×Q8×C47—22no—
165C2×Q8×C47—22no—
166C2×Q8×C47C22×C414yes—
167C22×C4×C47C2411yescharacteristic
168C22×C4×C47C2412yes—
169C22×C4×C47C2412yes—
170C22×C4×C47C2412yes—
171C22×C4×C47C2411yescharacteristic
172C22×C4×C47C2411yescharacteristic
173C22×C4×C47C2412yes—
174C22×C4×C47C2411yescharacteristic
175C22×C4×C47C2411yescharacteristic
176C22×C4×C47C2411yescharacteristic
177C22×C4×C47C2411yescharacteristic
178C22×Dic47C2412yes—
179C22×Dic47C2414yes—
180C22×Dic47C2412yes—
181C22×Dic47C2414yes—
182C22×Dic47C2412yes—
183C22×Dic47C2412yes—
184C2×Dic94—24no—
185C2×Dic94—24no—
186C2×Dic94C22×C418yes—
187C2×Dic94C22×C414yes—
188C2×Dic94C2×Q814yes—
189C2×Dic94#4114yes—
190C4⋊C4×C47—24no—
191C4⋊C4×C47—24no—
192C4⋊C4×C47—22no—
193C4⋊C4×C47C22×C414yes—
194C4⋊C4×C47C22×C418yes—
195C4⋊C4×C47#4114yes—
196C42×C47—24no—
197C42×C47—22no—
198C42×C47—24no—
199C42×C47—22no—
200C42×C47—24no—
201C42×C47—24no—
202C42×C47—22no—
203C42×C47—41no—
204C42×C47—42no—
205C42×C47C22×C418yes—
206C42×C47C22×C414yes—
207C42×C47C2×Q814yes—
208C42×C47#4114yes—
209C4⋊Dic47—22no—
210C4⋊Dic47—24no—
211C4⋊Dic47—24no—
212C4⋊Dic47—42no—
213C4⋊Dic47C22×C414yes—
214C4⋊Dic47C22×C418yes—
215C4⋊Dic47C22×C418yes—
216C4⋊Dic47C2×Q814yes—
217Dic47⋊C4—28no—
218Dic47⋊C4—28no—
219Dic47⋊C4—24no—
220Dic47⋊C4—28no—
221Dic47⋊C4—44no—
222Dic47⋊C4C22×C4116yes—
223Dic47⋊C4C22×C418yes—
224Dic47⋊C4C22×C4116yes—
225Dic47⋊C4C22×C4116yes—
226Dic47⋊C4C2×Q818yes—
227C4×Dic47—28no—
228C4×Dic47—24no—
229C4×Dic47—28no—
230C4×Dic47—24no—
231C4×Dic47—24no—
232C4×Dic47—28no—
233C4×Dic47—42no—
234C4×Dic47—44no—
235C4×Dic47C22×C4116yes—
236C4×Dic47C22×C418yes—
237C4×Dic47C2×Q818yes—
238C23×C47C2511yescharacteristic
239Q8×C47—28no—
240C2×C4×C47—21no—
241C2×C4×C47—22no—
242C2×C4×C47—21no—
243C2×C4×C47—22no—
244C2×C4×C47—22no—
245C2×C4×C47—22no—
246C2×C4×C47—21no—
247C2×C4×C47—22no—
248C2×C4×C47—22no—
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—21no—
252C2×C4×C47—22no—
253C2×C4×C47—21no—
254C2×C4×C47—22no—
255C2×C4×C47—21no—
256C2×C4×C47—21no—
257C2×C4×C47—22no—
258C2×C4×C47C23×C414yes—
259C2×C4×C47C23×C414yes—
260C2×C4×C47C23×C412yes—
261C2×C4×C47C23×C412yes—
262C2×C4×C47C23×C412yes—
263C2×C4×C47C22×Q812yes—
264C2×C4×C47C22×Q812yes—
265C2×C4×C47C22×Q812yes—
266C2×C4×C47C2×#4112yes—
267C2×C4×C47C2×#4114yes—
268C2×C4×C47C2×#4112yes—
269C2×C4×C47C2×#4112yes—
270C2×C4×C47C2×#4112yes—
271C2×C4×C47C2×#4112yes—
272C2×C4×C472−1+412yes—
273C2×Dic47—22no—
274C2×Dic47—24no—
275C2×Dic47—24no—
276C2×Dic47—22no—
277C2×Dic47—22no—
278C2×Dic47—22no—
279C2×Dic47—22no—
280C2×Dic47—24no—
281C2×Dic47—22no—
282C2×Dic47—24no—
283C2×Dic47—22no—
284C2×Dic47—24no—
285C2×Dic47C23×C414yes—
286C2×Dic47C23×C418yes—
287C2×Dic47C23×C414yes—
288C2×Dic47C22×Q814yes—
289C2×Dic47C22×Q814yes—
290C2×Dic47C2×#4114yes—
291Dic94—216no—
292Dic94C4×Q8116yescomplemented
293C4×#557—471nomaximal, Sylow
294C22×C47C24×C411yescharacteristic
295C22×C47C23×Q811yescharacteristic
296C22×C47C22×#4111yescharacteristic
297C22×C47C22×#4111yescharacteristic
298C22×C47C22×#4111yescharacteristic
299C22×C47C2×2−1+411yescharacteristic
300C22×C47#58511yescharacteristic
301C4×C47—24no—
302C4×C47—24no—
303C4×C47—22no—
304C4×C47—22no—
305C4×C47—22no—
306C4×C47—24no—
307C4×C47—42no—
308C4×C47—41no—
309C4×C47C2×C4×Q814yes—
310C4×C47C4×#4114yes—
311C4×C47#55714yescomplemented
312Dic47—28no—
313Dic47—24no—
314Dic47—24no—
315Dic47—44no—
316Dic47—42no—
317Dic47C2×C4×Q818yes—
318C2×#557—471no—
319#2370—472no—
320#2370—474no—
321#2365—471no—
322#2365—472no—
323#2355—472no—
324#2355—471no—
325#2351—472no—
326Q8×C4⋊C4—471no—
327C4×C4⋊Q8—471no—
328C4×C4⋊Q8—472no—
329C4×#125—474no—
330C4×#125—472no—
331C42×Q8—472no—
332C42×Q8—471no—
333C42×Q8—472no—
334C42×Q8D4711yescharacteristic
335C2×C47C22×C4×Q811yescharacteristic
336C2×C47C2×C4×#4111yescharacteristic
337C2×C47C4×2−1+411yescharacteristic
338C2×C47C2×#55711yescharacteristic
339C2×C47Q8×#4111yescharacteristic
340C2×C47#348011yescharacteristic
341C2×C47#348211yescharacteristic
342#557—4716no—
343C2×C4⋊Q8—472no—
344C2×C4⋊Q8—471no—
345C2×#125—474no—
346C2×#125—472no—
347C2×C4×Q8—472no—
348C2×C4×Q8—472no—
349C2×C4×Q8—471no—
350C2×C4×Q8—472no—
351C2×C4×Q8—471no—
352C2×C4×Q8—472no—
353C2×C4×Q8—472no—
354C2×C4×Q8—471no—
355C2×C4×Q8C2×D4711yescharacteristic
356C2×C4×Q8C2×D4711yescharacteristic
357C2×C4×Q8C2×D4711yescharacteristic
358#391—472no—
359#391—472no—
360#391—472no—
361#389—474no—
362#389—474no—
363#389—474no—
364#389—472no—
365#389—472no—
366#389—472no—
367#389—472no—
368#389—474no—
369#387—474no—
370#387—474no—
371#387—474no—
372#387—474no—
373#387—474no—
374#387—474no—
375#384—472no—
376#384—471no—
377#382—472no—
378#382—474no—
379C4×C4⋊C4—472no—
380C4×C4⋊C4—472no—
381C4×C4⋊C4—472no—
382C4×C4⋊C4—474no—
383C4×C4⋊C4—471no—
384C4×C4⋊C4—474no—
385C4×C4⋊C4—472no—
386C4×C4⋊C4—472no—
387C4×C4⋊C4—474no—
388C4×C4⋊C4—471no—
389C4×C4⋊C4—472no—
390C4×C4⋊C4—472no—
391C4×C4⋊C4—471no—
392C4×C4⋊C4—472no—
393C4×C4⋊C4—474no—
394C4×C4⋊C4—474no—
395C4×C4⋊C4—472no—
396C4×C4⋊C4—474no—
397C4×C4⋊C4—474no—
398C4×C4⋊C4C2×D4712yes—
399C4×C4⋊C4C2×D4711yescharacteristic
400C4×C4⋊C4C2×D4712yes—
401C4×C4⋊C4C2×D4711yescharacteristic
402C4×C4⋊C4C2×D4712yes—
403C4×C4⋊C4C2×D4711yescharacteristic
404C43—474no—
405C43—472no—
406C43C2×D4712yes—
407C43C2×D4711yescharacteristic
408C47C4×#55711yescharacteristic, complemented, Sylow
409C22×Q8—471no—
410C22×Q8—472no—
411C22×Q8C22×D4711yescharacteristic
412C4⋊Q8—4716no—
413C4⋊Q8—478no—
414#125—4732no—
415#125—4716no—
416C4×Q8—24no—
417C4×Q8—24no—
418C4×Q8—4716no—
419C4×Q8—4716no—
420C4×Q8—478no—
421C4×Q8—478no—
422C4×Q8—948no—
423C4×Q8—944no—
424C4×Q8—948no—
425C4×Q8—948no—
426C4×Q8C4×D4718yes—
427C2×C4⋊C4—474no—
428C2×C4⋊C4—472no—
429C2×C4⋊C4—471no—
430C2×C4⋊C4—474no—
431C2×C4⋊C4—472no—
432C2×C4⋊C4—472no—
433C2×C4⋊C4—471no—
434C2×C4⋊C4—474no—
435C2×C4⋊C4—472no—
436C2×C4⋊C4—472no—
437C2×C4⋊C4—474no—
438C2×C4⋊C4—474no—
439C2×C4⋊C4—474no—
440C2×C4⋊C4—471no—
441C2×C4⋊C4—472no—
442C2×C4⋊C4—472no—
443C2×C4⋊C4—474no—
444C2×C4⋊C4—472no—
445C2×C4⋊C4C22×D4711yescharacteristic
446C2×C4⋊C4C22×D4712yes—
447C2×C4⋊C4C22×D4712yes—
448C2×C4⋊C4C22×D4711yescharacteristic
449C2×C4⋊C4C22×D4712yes—
450C2×C4⋊C4C22×D4711yescharacteristic
451C2×C42—474no—
452C2×C42—472no—
453C2×C42—472no—
454C2×C42—474no—
455C2×C42—472no—
456C2×C42—474no—
457C2×C42—472no—
458C2×C42—474no—
459C2×C42—472no—
460C2×C42—474no—
461C2×C42—472no—
462C2×C42C22×D4711yescharacteristic
463C2×C42C22×D4712yes—
464C2×C42C22×D4712yes—
465C2×C42C22×D4711yescharacteristic
466C2×C42C22×D4712yes—
467C2×C42C22×D4712yes—
468C2×C42C22×D4711yescharacteristic
469C2×C42C22×D4712yes—
470C2×C42C22×D4711yescharacteristic
471C2×C42C22×D4712yes—
472C2×C42C22×D4711yescharacteristic
473C2×C42C22×D4711yescharacteristic
474C2×C42C22×D4711yescharacteristic
475#95—474no—
476#95—472no—
477#95—472no—
478#95—472no—
479#95—474no—
480#95—474no—
481#95—474no—
482#95—474no—
483#95—474no—
484#95—474no—
485#95—474no—
486#95C22×D4712yes—
487#95C22×D4712yes—
488#95C22×D4712yes—
489C2×Q8—22no—
490C2×Q8—22no—
491C2×Q8—474no—
492C2×Q8—478no—
493C2×Q8—474no—
494C2×Q8—474no—
495C2×Q8—944no—
496C2×Q8—944no—
497C2×Q8C2×C4×D4714yes—
498C22×C4—472no—
499C22×C4—472no—
500C22×C4—472no—
501C22×C4—474no—
502C22×C4—472no—
503C22×C4—474no—
504C22×C4C23×D4711yescharacteristic
505C22×C4C23×D4712yes—
506C22×C4C23×D4712yes—
507C22×C4C23×D4712yes—
508C22×C4C23×D4711yescharacteristic
509C22×C4C23×D4711yescharacteristic
510C22×C4C23×D4712yes—
511C22×C4C23×D4711yescharacteristic
512C22×C4C23×D4711yescharacteristic
513C22×C4C23×D4711yescharacteristic
514C22×C4C23×D4711yescharacteristic
515C4⋊C4—24no—
516C4⋊C4—24no—
517C4⋊C4—22no—
518C4⋊C4—478no—
519C4⋊C4—4716no—
520C4⋊C4—4716no—
521C4⋊C4—4716no—
522C4⋊C4—474no—
523C4⋊C4—478no—
524C4⋊C4—478no—
525C4⋊C4—478no—
526C4⋊C4—474no—
527C4⋊C4—944no—
528C4⋊C4—948no—
529C4⋊C4—942no—
530C4⋊C4—944no—
531C4⋊C4—948no—
532C4⋊C4—948no—
533C4⋊C4—944no—
534C4⋊C4—1884no—
535C4⋊C4—1882no—
536C4⋊C4C2×C4×D4714yes—
537C4⋊C4C2×C4×D4718yes—
538C4⋊C4#1062535014yes—
539C42—22no—
540C42—24no—
541C42—24no—
542C42—22no—
543C42—24no—
544C42—24no—
545C42—22no—
546C42—41no—
547C42—42no—
548C42—4716no—
549C42—478no—
550C42—478no—
551C42—944no—
552C42—948no—
553C42—948no—
554C42—944no—
555C42—948no—
556C42—944no—
557C42—1882no—
558C42—1884no—
559C42C2×C4×D4718yes—
560C42C2×C4×D4714yes—
561C42#1062535014yes—
562C42Q8×D4714yes—
563C23C24×D4711yescharacteristic
564Q8—28no—
565Q8—4716no—
566Q8—9416no—
567C2×C4—21no—
568C2×C4—22no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—21no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—474no—
586C2×C4—474no—
587C2×C4—474no—
588C2×C4—474no—
589C2×C4—478no—
590C2×C4—474no—
591C2×C4—942no—
592C2×C4—944no—
593C2×C4—944no—
594C2×C4—942no—
595C2×C4—942no—
596C2×C4—942no—
597C2×C4—944no—
598C2×C4—942no—
599C2×C4—944no—
600C2×C4—942no—
601C2×C4—942no—
602C2×C4—944no—
603C2×C4C22×C4×D4714yes—
604C2×C4C22×C4×D4712yes—
605C2×C4C22×C4×D4714yes—
606C2×C4C22×C4×D4712yes—
607C2×C4C22×C4×D4712yes—
608C2×C4C2×Q8×D4712yes—
609C2×C4C2×Q8×D4712yes—
610C2×C4C2×Q8×D4712yes—
611C2×C4#41×D4712yes—
612C2×C4C2×#1062535014yes—
613C2×C4C2×#1062535012yes—
614C2×C4C2×#1062535012yes—
615C2×C4C2×#1062535012yes—
616C2×C4C2×#1062535012yes—
617C2×C4#1309407112yes—
618C22C23×C4×D4711yescharacteristic
619C22C22×Q8×D4711yescharacteristic
620C22C2×#41×D4711yescharacteristic
621C22C22×#1062535011yescharacteristic
622C22C22×#1062535011yescharacteristic
623C22C2×#1309407111yescharacteristic
624C22#1568995911yescharacteristic
625C4—24no—
626C4—24no—
627C4—22no—
628C4—22no—
629C4—22no—
630C4—24no—
631C4—42no—
632C4—41no—
633C4—478no—
634C4—948no—
635C4—944no—
636C4—944no—
637C4—1884no—
638C4—1882no—
639C4C4×Q8×D4714yes—
640C4C4×#1062535014yes—
641C4#1568985114yesdirect product factor
642C2C2×C4×Q8×D4711yescharacteristic
643C2C2×C4×#1062535011yescharacteristic
644C2C4×#1309407111yescharacteristic
645C2C2×#1568985111yescharacteristic
646C2Q8×#1062535011yescharacteristic
647C2#2025698111yescharacteristic
648C2#2025700311yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC42×Q8×C47C2
socle, prime radical, cosocleC23×C47C25
hypercenterC42×Q8D47
hypocenterC47C4×#557
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C42×Q8

Complements

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

NH ≅ G/Ntype
18. #15689851C4direct (N × H)
95. C4×Dic94Q8semidirect
292. Dic94C4×Q8semidirect
311. C4×C47#557semidirect
408. C47C4×#557semidirect
641. C4#15689851direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156898512
#202464852
#202464822
#202464462
#202464422
#202463452
#202463412
#202463082
C4⋊C4×Dic942
C4×#130940242
C4×#130940222
C4×#130940162
C4×#130940142
C42×Dic942
C4×#130939892
C42×Q8×C472
C4×#55747