Finite Group Databasebeta

← C4×#14583627 #25256591

Subgroups — C4×#14583627 #25256591

Order 11008.

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×#14583627C211yesmaximal, characteristic
2#19137692C214yesmaximal
3#19137689C212yesmaximal
4#19137653C211yesmaximal, characteristic
5#19137649C212yesmaximal
6#19137552C211yesmaximal, characteristic
7#19137548C212yesmaximal
8#19137515C212yesmaximal
9C4⋊C4×Dic86C211yesmaximal, characteristic
10C4×#13063325C211yesmaximal, characteristic
11C4×#13063323C212yesmaximal
12C4×#13063317C212yesmaximal
13C4×#13063315C214yesmaximal
14C42×Dic86C212yesmaximal
15C42×Dic86C211yesmaximal, characteristic
16C4×#13063290C212yesmaximal
17C42×Q8×C43C211yesmaximal, characteristic
18#14583627C4116yesdirect product factor
19C2×#13063325C2211yescharacteristic
20C2×#13063323C2212yes—
21C2×#13063317C2212yes—
22C2×#13063315C2214yes—
23C2×C4×Dic86C2212yes—
24C2×C4×Dic86C2212yes—
25C2×C4×Dic86C2211yescharacteristic
26C2×C4×Dic86C2211yescharacteristic
27C2×C4×Dic86C2212yes—
28C2×C4×Dic86C2211yescharacteristic
29C2×#13063290C2212yes—
30C2×#13063290C2212yes—
31#14582806C2212yes—
32#14582805C2212yes—
33#14582804C2212yes—
34#14582797C2212yes—
35#14582797C2212yes—
36#14582797C2212yes—
37#14582797C2212yes—
38#14582796C2214yes—
39#14582794C2214yes—
40#14582794C2214yes—
41#14582794C2214yes—
42#14582785C2214yes—
43#14582784C2214yes—
44#14582783C2214yes—
45#14582783C2214yes—
46#14582781C2214yes—
47#14582780C2214yes—
48#14582769C2211yescharacteristic
49#14582768C2212yes—
50#14582765C2212yes—
51#14582763C2214yes—
52C4⋊C4×Dic43C2212yes—
53C4⋊C4×Dic43C2212yes—
54C4×Dic43⋊C4C2212yes—
55C4×Dic43⋊C4C2214yes—
56C4×Dic43⋊C4C2214yes—
57C4×Dic43⋊C4C2212yes—
58C4×Dic43⋊C4C2214yes—
59C4×Dic43⋊C4C2214yes—
60C4×Dic43⋊C4C2214yes—
61C4×Dic43⋊C4C2212yes—
62C4×C4⋊Dic43C2211yescharacteristic
63C4×C4⋊Dic43C2212yes—
64C4×C4⋊Dic43C2212yes—
65C4×C4⋊Dic43C2212yes—
66C4×C4⋊Dic43C2211yescharacteristic
67C4×C4⋊Dic43C2212yes—
68C4×C4⋊Dic43C2211yescharacteristic
69#14582750C2214yes—
70#14582750C2214yes—
71C42×Dic43C2214yes—
72C42×Dic43C2212yes—
73C2×C4×Q8×C43C2211yescharacteristic
74C2×C4×Q8×C43C2211yescharacteristic
75C2×C4×Q8×C43C2211yescharacteristic
76C4×C4⋊C4×C43C2211yescharacteristic
77C4×C4⋊C4×C43C2211yescharacteristic
78C4×C4⋊C4×C43C2212yes—
79C4×C4⋊C4×C43C2212yes—
80C4×C4⋊C4×C43C2212yes—
81C4×C4⋊C4×C43C2211yescharacteristic
82C43×C43C2212yes—
83C43×C43C2211yescharacteristic
84C22×Dic86C2312yes—
85C22×Dic86C2311yescharacteristic
86#13063325C2×C418yes—
87#13063323C2×C4116yes—
88#13063317C2×C4116yes—
89#13063315C2×C4132yes—
90C4×Dic86—28no—
91C4×Dic86—24no—
92C4×Dic86—28no—
93C4×Dic86C2×C4116yes—
94C4×Dic86C2×C418yes—
95C4×Dic86Q818yescomplemented
96#13063290—28no—
97#13063290C2×C4116yes—
98C2×C4⋊Dic43C2311yescharacteristic
99C2×C4⋊Dic43C2312yes—
100C2×C4⋊Dic43C2312yes—
101C2×C4⋊Dic43C2312yes—
102C2×C4⋊Dic43C2312yes—
103C2×C4⋊Dic43C2311yescharacteristic
104C2×C4⋊Dic43C2312yes—
105C2×C4⋊Dic43C2311yescharacteristic
106C2×Dic43⋊C4C2314yes—
107C2×Dic43⋊C4C2314yes—
108C2×Dic43⋊C4C2312yes—
109C2×Dic43⋊C4C2314yes—
110C2×Dic43⋊C4C2314yes—
111C2×Dic43⋊C4C2314yes—
112C2×Dic43⋊C4C2314yes—
113C2×Dic43⋊C4C2312yes—
114C2×Dic43⋊C4C2314yes—
115C2×Dic43⋊C4C2312yes—
116C2×C4×Dic43C2314yes—
117C2×C4×Dic43C2312yes—
118C2×C4×Dic43C2314yes—
119C2×C4×Dic43C2312yes—
120C2×C4×Dic43C2314yes—
121C2×C4×Dic43C2312yes—
122C2×C4×Dic43C2314yes—
123C2×C4×Dic43C2312yes—
124C2×C4×Dic43C2314yes—
125C2×C4×Dic43C2312yes—
126C2×C4×Dic43C2312yes—
127C43⋊#95C2312yes—
128C43⋊#95C2314yes—
129C43⋊#95C2314yes—
130C43⋊#95C2314yes—
131C43⋊#95C2314yes—
132C43⋊#95C2314yes—
133C43⋊#95C2314yes—
134C43⋊#95C2314yes—
135C43⋊#95C2314yes—
136C43⋊#95C2312yes—
137C43⋊#95C2312yes—
138C22×Q8×C43C2311yescharacteristic
139C4×Q8×C43—24no—
140C4×Q8×C43—24no—
141C4×Q8×C43C2×C418yes—
142C2×C4⋊C4×C43C2312yes—
143C2×C4⋊C4×C43C2312yes—
144C2×C4⋊C4×C43C2311yescharacteristic
145C2×C4⋊C4×C43C2312yes—
146C2×C4⋊C4×C43C2311yescharacteristic
147C2×C4⋊C4×C43C2311yescharacteristic
148C2×C42×C43C2311yescharacteristic
149C2×C42×C43C2312yes—
150C2×C42×C43C2311yescharacteristic
151C2×C42×C43C2312yes—
152C2×C42×C43C2312yes—
153C2×C42×C43C2312yes—
154C2×C42×C43C2311yescharacteristic
155C2×C42×C43C2311yescharacteristic
156C2×C42×C43C2312yes—
157C2×C42×C43C2312yes—
158C2×C42×C43C2311yescharacteristic
159C2×C42×C43C2311yescharacteristic
160C2×C42×C43C2311yescharacteristic
161#95×C43C2312yes—
162#95×C43C2312yes—
163#95×C43C2312yes—
164C2×Q8×C43—22no—
165C2×Q8×C43—22no—
166C2×Q8×C43C22×C414yes—
167C22×C4×C43C2411yescharacteristic
168C22×C4×C43C2412yes—
169C22×C4×C43C2412yes—
170C22×C4×C43C2411yescharacteristic
171C22×C4×C43C2412yes—
172C22×C4×C43C2411yescharacteristic
173C22×C4×C43C2412yes—
174C22×C4×C43C2411yescharacteristic
175C22×C4×C43C2411yescharacteristic
176C22×C4×C43C2411yescharacteristic
177C22×C4×C43C2411yescharacteristic
178C22×Dic43C2412yes—
179C22×Dic43C2414yes—
180C22×Dic43C2412yes—
181C22×Dic43C2414yes—
182C22×Dic43C2412yes—
183C22×Dic43C2412yes—
184C2×Dic86—24no—
185C2×Dic86—24no—
186C2×Dic86C22×C418yes—
187C2×Dic86C22×C414yes—
188C2×Dic86C2×Q814yes—
189C2×Dic86#4114yes—
190C4⋊C4×C43—24no—
191C4⋊C4×C43—24no—
192C4⋊C4×C43—22no—
193C4⋊C4×C43C22×C414yes—
194C4⋊C4×C43C22×C418yes—
195C4⋊C4×C43#4114yes—
196C42×C43—24no—
197C42×C43—22no—
198C42×C43—24no—
199C42×C43—22no—
200C42×C43—24no—
201C42×C43—24no—
202C42×C43—22no—
203C42×C43—41no—
204C42×C43—42no—
205C42×C43C22×C418yes—
206C42×C43C22×C414yes—
207C42×C43C2×Q814yes—
208C42×C43#4114yes—
209C4⋊Dic43—22no—
210C4⋊Dic43—24no—
211C4⋊Dic43—24no—
212C4⋊Dic43—42no—
213C4⋊Dic43C22×C414yes—
214C4⋊Dic43C22×C418yes—
215C4⋊Dic43C22×C418yes—
216C4⋊Dic43C2×Q814yes—
217Dic43⋊C4—28no—
218Dic43⋊C4—28no—
219Dic43⋊C4—24no—
220Dic43⋊C4—28no—
221Dic43⋊C4—44no—
222Dic43⋊C4C22×C4116yes—
223Dic43⋊C4C22×C418yes—
224Dic43⋊C4C22×C4116yes—
225Dic43⋊C4C22×C4116yes—
226Dic43⋊C4C2×Q818yes—
227C4×Dic43—28no—
228C4×Dic43—24no—
229C4×Dic43—28no—
230C4×Dic43—24no—
231C4×Dic43—24no—
232C4×Dic43—28no—
233C4×Dic43—42no—
234C4×Dic43—44no—
235C4×Dic43C22×C4116yes—
236C4×Dic43C22×C418yes—
237C4×Dic43C2×Q818yes—
238C23×C43C2511yescharacteristic
239Q8×C43—28no—
240C2×C4×C43—21no—
241C2×C4×C43—22no—
242C2×C4×C43—21no—
243C2×C4×C43—22no—
244C2×C4×C43—22no—
245C2×C4×C43—22no—
246C2×C4×C43—21no—
247C2×C4×C43—22no—
248C2×C4×C43—22no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—22no—
253C2×C4×C43—21no—
254C2×C4×C43—22no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—22no—
258C2×C4×C43C23×C414yes—
259C2×C4×C43C23×C414yes—
260C2×C4×C43C23×C412yes—
261C2×C4×C43C23×C412yes—
262C2×C4×C43C23×C412yes—
263C2×C4×C43C22×Q812yes—
264C2×C4×C43C22×Q812yes—
265C2×C4×C43C22×Q812yes—
266C2×C4×C43C2×#4112yes—
267C2×C4×C43C2×#4114yes—
268C2×C4×C43C2×#4112yes—
269C2×C4×C43C2×#4112yes—
270C2×C4×C43C2×#4112yes—
271C2×C4×C43C2×#4112yes—
272C2×C4×C432−1+412yes—
273C2×Dic43—22no—
274C2×Dic43—24no—
275C2×Dic43—24no—
276C2×Dic43—22no—
277C2×Dic43—22no—
278C2×Dic43—22no—
279C2×Dic43—22no—
280C2×Dic43—24no—
281C2×Dic43—22no—
282C2×Dic43—24no—
283C2×Dic43—22no—
284C2×Dic43—24no—
285C2×Dic43C23×C414yes—
286C2×Dic43C23×C418yes—
287C2×Dic43C23×C414yes—
288C2×Dic43C22×Q814yes—
289C2×Dic43C22×Q814yes—
290C2×Dic43C2×#4114yes—
291Dic86—216no—
292Dic86C4×Q8116yescomplemented
293C4×#557—431nomaximal, Sylow
294C22×C43C24×C411yescharacteristic
295C22×C43C23×Q811yescharacteristic
296C22×C43C22×#4111yescharacteristic
297C22×C43C22×#4111yescharacteristic
298C22×C43C22×#4111yescharacteristic
299C22×C43C2×2−1+411yescharacteristic
300C22×C43#58511yescharacteristic
301C4×C43—24no—
302C4×C43—24no—
303C4×C43—22no—
304C4×C43—22no—
305C4×C43—22no—
306C4×C43—24no—
307C4×C43—42no—
308C4×C43—41no—
309C4×C43C2×C4×Q814yes—
310C4×C43C4×#4114yes—
311C4×C43#55714yescomplemented
312Dic43—28no—
313Dic43—24no—
314Dic43—24no—
315Dic43—44no—
316Dic43—42no—
317Dic43C2×C4×Q818yes—
318C2×#557—431no—
319#2370—432no—
320#2370—434no—
321#2365—431no—
322#2365—432no—
323#2355—432no—
324#2355—431no—
325#2351—432no—
326Q8×C4⋊C4—431no—
327C4×C4⋊Q8—431no—
328C4×C4⋊Q8—432no—
329C4×#125—434no—
330C4×#125—432no—
331C42×Q8—432no—
332C42×Q8—431no—
333C42×Q8—432no—
334C42×Q8D4311yescharacteristic
335C2×C43C22×C4×Q811yescharacteristic
336C2×C43C2×C4×#4111yescharacteristic
337C2×C43C4×2−1+411yescharacteristic
338C2×C43C2×#55711yescharacteristic
339C2×C43Q8×#4111yescharacteristic
340C2×C43#348011yescharacteristic
341C2×C43#348211yescharacteristic
342#557—4316no—
343C2×C4⋊Q8—432no—
344C2×C4⋊Q8—431no—
345C2×#125—434no—
346C2×#125—432no—
347C2×C4×Q8—432no—
348C2×C4×Q8—432no—
349C2×C4×Q8—431no—
350C2×C4×Q8—432no—
351C2×C4×Q8—431no—
352C2×C4×Q8—432no—
353C2×C4×Q8—432no—
354C2×C4×Q8—431no—
355C2×C4×Q8C2×D4311yescharacteristic
356C2×C4×Q8C2×D4311yescharacteristic
357C2×C4×Q8C2×D4311yescharacteristic
358#391—432no—
359#391—432no—
360#391—432no—
361#389—434no—
362#389—434no—
363#389—434no—
364#389—432no—
365#389—432no—
366#389—432no—
367#389—432no—
368#389—434no—
369#387—434no—
370#387—434no—
371#387—434no—
372#387—434no—
373#387—434no—
374#387—434no—
375#384—432no—
376#384—431no—
377#382—432no—
378#382—434no—
379C4×C4⋊C4—432no—
380C4×C4⋊C4—432no—
381C4×C4⋊C4—432no—
382C4×C4⋊C4—434no—
383C4×C4⋊C4—431no—
384C4×C4⋊C4—434no—
385C4×C4⋊C4—432no—
386C4×C4⋊C4—432no—
387C4×C4⋊C4—434no—
388C4×C4⋊C4—431no—
389C4×C4⋊C4—432no—
390C4×C4⋊C4—432no—
391C4×C4⋊C4—434no—
392C4×C4⋊C4—432no—
393C4×C4⋊C4—434no—
394C4×C4⋊C4—431no—
395C4×C4⋊C4—432no—
396C4×C4⋊C4—434no—
397C4×C4⋊C4—434no—
398C4×C4⋊C4C2×D4312yes—
399C4×C4⋊C4C2×D4311yescharacteristic
400C4×C4⋊C4C2×D4312yes—
401C4×C4⋊C4C2×D4311yescharacteristic
402C4×C4⋊C4C2×D4312yes—
403C4×C4⋊C4C2×D4311yescharacteristic
404C43—434no—
405C43—432no—
406C43C2×D4312yes—
407C43C2×D4311yescharacteristic
408C43C4×#55711yescharacteristic, complemented, Sylow
409C22×Q8—431no—
410C22×Q8—432no—
411C22×Q8C22×D4311yescharacteristic
412C4⋊Q8—4316no—
413C4⋊Q8—438no—
414#125—4332no—
415#125—4316no—
416C4×Q8—24no—
417C4×Q8—24no—
418C4×Q8—4316no—
419C4×Q8—4316no—
420C4×Q8—438no—
421C4×Q8—438no—
422C4×Q8—868no—
423C4×Q8—864no—
424C4×Q8—868no—
425C4×Q8—868no—
426C4×Q8C4×D4318yes—
427C2×C4⋊C4—434no—
428C2×C4⋊C4—432no—
429C2×C4⋊C4—431no—
430C2×C4⋊C4—434no—
431C2×C4⋊C4—432no—
432C2×C4⋊C4—432no—
433C2×C4⋊C4—431no—
434C2×C4⋊C4—434no—
435C2×C4⋊C4—432no—
436C2×C4⋊C4—432no—
437C2×C4⋊C4—434no—
438C2×C4⋊C4—434no—
439C2×C4⋊C4—434no—
440C2×C4⋊C4—431no—
441C2×C4⋊C4—432no—
442C2×C4⋊C4—432no—
443C2×C4⋊C4—434no—
444C2×C4⋊C4—432no—
445C2×C4⋊C4C22×D4311yescharacteristic
446C2×C4⋊C4C22×D4312yes—
447C2×C4⋊C4C22×D4312yes—
448C2×C4⋊C4C22×D4311yescharacteristic
449C2×C4⋊C4C22×D4312yes—
450C2×C4⋊C4C22×D4311yescharacteristic
451C2×C42—434no—
452C2×C42—432no—
453C2×C42—432no—
454C2×C42—434no—
455C2×C42—432no—
456C2×C42—434no—
457C2×C42—432no—
458C2×C42—434no—
459C2×C42—432no—
460C2×C42—434no—
461C2×C42—432no—
462C2×C42C22×D4311yescharacteristic
463C2×C42C22×D4312yes—
464C2×C42C22×D4312yes—
465C2×C42C22×D4311yescharacteristic
466C2×C42C22×D4312yes—
467C2×C42C22×D4312yes—
468C2×C42C22×D4311yescharacteristic
469C2×C42C22×D4312yes—
470C2×C42C22×D4311yescharacteristic
471C2×C42C22×D4312yes—
472C2×C42C22×D4311yescharacteristic
473C2×C42C22×D4311yescharacteristic
474C2×C42C22×D4311yescharacteristic
475#95—434no—
476#95—432no—
477#95—432no—
478#95—432no—
479#95—434no—
480#95—434no—
481#95—434no—
482#95—434no—
483#95—434no—
484#95—434no—
485#95—434no—
486#95C22×D4312yes—
487#95C22×D4312yes—
488#95C22×D4312yes—
489C2×Q8—22no—
490C2×Q8—22no—
491C2×Q8—434no—
492C2×Q8—438no—
493C2×Q8—434no—
494C2×Q8—434no—
495C2×Q8—864no—
496C2×Q8—864no—
497C2×Q8C2×C4×D4314yes—
498C22×C4—432no—
499C22×C4—432no—
500C22×C4—432no—
501C22×C4—434no—
502C22×C4—432no—
503C22×C4—434no—
504C22×C4C23×D4311yescharacteristic
505C22×C4C23×D4312yes—
506C22×C4C23×D4312yes—
507C22×C4C23×D4312yes—
508C22×C4C23×D4311yescharacteristic
509C22×C4C23×D4311yescharacteristic
510C22×C4C23×D4312yes—
511C22×C4C23×D4311yescharacteristic
512C22×C4C23×D4311yescharacteristic
513C22×C4C23×D4311yescharacteristic
514C22×C4C23×D4311yescharacteristic
515C4⋊C4—24no—
516C4⋊C4—24no—
517C4⋊C4—22no—
518C4⋊C4—438no—
519C4⋊C4—4316no—
520C4⋊C4—434no—
521C4⋊C4—4316no—
522C4⋊C4—438no—
523C4⋊C4—4316no—
524C4⋊C4—438no—
525C4⋊C4—438no—
526C4⋊C4—434no—
527C4⋊C4—864no—
528C4⋊C4—868no—
529C4⋊C4—862no—
530C4⋊C4—864no—
531C4⋊C4—868no—
532C4⋊C4—868no—
533C4⋊C4—864no—
534C4⋊C4—1724no—
535C4⋊C4—1722no—
536C4⋊C4C2×C4×D4314yes—
537C4⋊C4C2×C4×D4318yes—
538C4⋊C4#1062189814yes—
539C42—22no—
540C42—24no—
541C42—24no—
542C42—22no—
543C42—24no—
544C42—24no—
545C42—22no—
546C42—41no—
547C42—42no—
548C42—4316no—
549C42—438no—
550C42—438no—
551C42—864no—
552C42—868no—
553C42—868no—
554C42—864no—
555C42—868no—
556C42—864no—
557C42—1722no—
558C42—1724no—
559C42C2×C4×D4318yes—
560C42C2×C4×D4314yes—
561C42#1062189814yes—
562C42Q8×D4314yes—
563C23C24×D4311yescharacteristic
564Q8—28no—
565Q8—4316no—
566Q8—8616no—
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—434no—
586C2×C4—434no—
587C2×C4—434no—
588C2×C4—434no—
589C2×C4—438no—
590C2×C4—434no—
591C2×C4—862no—
592C2×C4—864no—
593C2×C4—864no—
594C2×C4—862no—
595C2×C4—862no—
596C2×C4—862no—
597C2×C4—864no—
598C2×C4—862no—
599C2×C4—864no—
600C2×C4—862no—
601C2×C4—862no—
602C2×C4—864no—
603C2×C4C22×C4×D4314yes—
604C2×C4C22×C4×D4312yes—
605C2×C4C22×C4×D4314yes—
606C2×C4C22×C4×D4312yes—
607C2×C4C22×C4×D4312yes—
608C2×C4C2×Q8×D4312yes—
609C2×C4C2×Q8×D4312yes—
610C2×C4C2×Q8×D4312yes—
611C2×C4#41×D4312yes—
612C2×C4C2×#1062189814yes—
613C2×C4C2×#1062189812yes—
614C2×C4C2×#1062189812yes—
615C2×C4C2×#1062189812yes—
616C2×C4C2×#1062189812yes—
617C2×C4#1306337212yes—
618C22C23×C4×D4311yescharacteristic
619C22C22×Q8×D4311yescharacteristic
620C22C2×#41×D4311yescharacteristic
621C22C22×#1062189811yescharacteristic
622C22C22×#1062189811yescharacteristic
623C22C2×#1306337211yescharacteristic
624C22#1458373511yescharacteristic
625C4—24no—
626C4—22no—
627C4—22no—
628C4—22no—
629C4—24no—
630C4—24no—
631C4—42no—
632C4—41no—
633C4—438no—
634C4—864no—
635C4—864no—
636C4—868no—
637C4—1724no—
638C4—1722no—
639C4C4×Q8×D4314yes—
640C4C4×#1062189814yes—
641C4#1458362714yesdirect product factor
642C2C2×C4×Q8×D4311yescharacteristic
643C2C2×C4×#1062189811yescharacteristic
644C2C4×#1306337211yescharacteristic
645C2C2×#1458362711yescharacteristic
646C2Q8×#1062189811yescharacteristic
647C2#1914818811yescharacteristic
648C2#1914821011yescharacteristic
subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC42×Q8×C43C2
socle, prime radical, cosocleC23×C43C25
hypercenterC42×Q8D43
hypocenterC43C4×#557
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C42×Q8

Complements

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

NH ≅ G/Ntype
18. #14583627C4direct (N × H)
95. C4×Dic86Q8semidirect
292. Dic86C4×Q8semidirect
311. C4×C43#557semidirect
408. C43C4×#557semidirect
641. C4#14583627direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145836272
#191376922
#191376892
#191376532
#191376492
#191375522
#191375482
#191375152
C4⋊C4×Dic862
C4×#130633252
C4×#130633232
C4×#130633172
C4×#130633152
C42×Dic862
C4×#130632902
C42×Q8×C432
C4×#55743