Finite Group Databasebeta

← C3×#83148 #11882310

Subgroups — C3×#83148 #11882310

Order 1152.

913 conjugacy classes of subgroups.

The subgroup lattice has 647 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#529C211yesmaximal, characteristic, complemented
2C3×#5477C211yesmaximal, characteristic, complemented
3C3×#5066C212yesmaximal, complemented
4C3×#5057C212yesmaximal, complemented
5C3×#5048C212yesmaximal, complemented
6C3×#5038C212yesmaximal, complemented
7C3×#5027C211yesmaximal, characteristic, complemented
8C3×#5021C211yesmaximal, characteristic, complemented
9C3×#5015C211yesmaximal, characteristic, complemented
10C3×#5008C211yesmaximal, characteristic, complemented
11C2×C3×C4⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
12C3×#3247—31nomaximal
13#83148C311yesmaximal, characteristic, direct product factor
14C2×C3×#235—21no—
15C32×#126—21no—
16C32×#125C2211yescharacteristic
17C32×#124C2211yescharacteristic
18C32×#123—21no—
19C32×C22⋊Q8C2211yescharacteristic
20C32×#121C2211yescharacteristic
21C32×C4×Q8C2211yescharacteristic
22C32×C4×D4—21no—
23C32×C4×D4C2211yescharacteristic
24C32×#117—21no—
25C2×C32×C42C2211yescharacteristic
26C2×C3×#215C2212yes—
27C2×C3×#213C2212yes—
28C3×#930—21no—
29C3×#930C2212yes—
30C22×C3×C3⋊C8C2212yes—
31C3×#875—21no—
32C3×#874C2211yescharacteristic
33C3×C4×D12—21no—
34C3×C4×D12C2212yes—
35C3×#869C2211yescharacteristic
36C3×#835C2212yes—
37C3×#832C2212yes—
38C3×#809C2212yes—
39C3×#809C2212yes—
40C3×#808C2212yes—
41C3×#807C2212yes—
42C3×C4⋊(C3⋊C8)C2211yescharacteristic
43C3×C4⋊(C3⋊C8)C2211yescharacteristic
44C3×C4⋊(C3⋊C8)C2212yes—
45C3×#532—31no—
46C3×#529—21no—
47C3×#529D311yescharacteristic, complemented
48C3×#529C2×C311yescharacteristic, complemented
49#5477C2×C311yescharacteristic, complemented
50C3×#478—32no—
51C3×#477—31no—
52C3×#476—31no—
53C3×#466—32no—
54C3×#465—32no—
55C3×#463—32no—
56C3×#460—31no—
57C3×#459—31no—
58C2×C3×C4⋊C8—31no—
59#5066C2×C312yescomplemented
60#5057C2×C312yescomplemented
61#5048C2×C312yescomplemented
62#5038C2×C312yescomplemented
63#5027C2×C311yescharacteristic, complemented
64#5021C2×C311yescharacteristic, complemented
65#5015C2×C311yescharacteristic, complemented
66#5008C2×C311yescharacteristic, complemented
67C2×C4⋊(C3⋊C8)C2×C311yescharacteristic, complemented
68C2×C32×Q8C2311yescharacteristic
69C2×C32×D4—21no—
70C2×C32×D4C2311yescharacteristic
71C22×C32×C4—21no—
72C22×C32×C4D411yescharacteristic
73C22×C32×C4D411yescharacteristic
74C22×C32×C4C2311yescharacteristic
75C2×C3×#67—22no—
76C3×#235—44no—
77C2×C3×D12—21no—
78C2×C3×D12—21no—
79C2×C3×D12C2312yes—
80C2×C3×C4×D3—22no—
81C2×C3×Dic6—21no—
82C32×C4⋊C4—21no—
83C32×C4⋊C4—21no—
84C32×C4⋊C4—21no—
85C32×C4⋊C4—21no—
86C32×C4⋊C4C2311yescharacteristic
87C32×C4⋊C4C2311yescharacteristic
88C32×C22⋊C4—21no—
89C32×C22⋊C4—21no—
90C32×C22⋊C4—21no—
91C32×C22⋊C4—21no—
92C32×C22⋊C4—21no—
93C32×C42—21no—
94C32×C42D411yescharacteristic
95C32×C42D411yescharacteristic
96C32×C42C2311yescharacteristic
97C32×C42C2311yescharacteristic
98C3×#215—42no—
99C3×#213—42no—
100C3×(C2×D3)⋊C4—22no—
101C3×(C2×D3)⋊C4—22no—
102C3×C4⋊Dic3—21no—
103C3×C4⋊Dic3C2312yes—
104C2×C3×C3⋊C8—42no—
105C2×C3×C3⋊C8C2312yes—
106C2×C3×C3⋊C8C2312yes—
107#3247—31noSylow
108C2×C3×#41—61no—
109C2×#235—21no—
110C2×C3×SD16—32no—
111C2×C3×D8—32no—
112C22×C3×C8—32no—
113C3×C4⋊Q8—31no—
114C3×#127—31no—
115C3×#126—22no—
116C3×#126—21no—
117C3×#126—21no—
118C3×#125—21no—
119C3×#125C2×D311yescharacteristic
120C3×#125C22×C311yescharacteristic
121C3×#124—21no—
122C3×#124—61no—
123C3×#124C2×D311yescharacteristic
124C3×#124C22×C311yescharacteristic
125C3×#123—22no—
126C3×#123—21no—
127C3×#123—21no—
128C3×C22⋊Q8—21no—
129C3×C22⋊Q8C2×D311yescharacteristic
130C3×C22⋊Q8C22×C311yescharacteristic
131C3×#121—21no—
132C3×#121—32no—
133C3×#121—61no—
134C3×#121C2×D311yescharacteristic
135C3×#121C22×C311yescharacteristic
136C3×C4×Q8—21no—
137C3×C4×Q8C2×D311yescharacteristic
138C3×C4×Q8C22×C311yescharacteristic
139C3×C4×D4—22no—
140C3×C4×D4—21no—
141C3×C4×D4—21no—
142C3×C4×D4—21no—
143C3×C4×D4—32no—
144C3×C4×D4—61no—
145C3×C4×D4C2×D311yescharacteristic
146C3×C4×D4C22×C311yescharacteristic
147C3×#117—22no—
148C3×#117—21no—
149C3×#117—21no—
150C2×C3×C42—21no—
151C2×C3×C42C2×D311yescharacteristic
152C2×C3×C42C22×C311yescharacteristic
153C2×#215C22×C312yes—
154C2×#213C22×C312yes—
155#930—21no—
156#930C22×C312yes—
157C22×C3⋊C8C22×C312yes—
158#875—21no—
159#874C22×C311yescharacteristic
160C4×D12—21no—
161C4×D12C22×C312yes—
162#869C22×C311yescharacteristic
163C3×#107—32no—
164C3×#106—32no—
165C3×C4⋊C8—31no—
166C3×C4⋊C8—31no—
167C3×C4⋊C8—32no—
168C3×#103—32no—
169C3×#102—32no—
170C3×#102—32no—
171C3×#102—32no—
172#835C22×C312yes—
173#832C22×C312yes—
174#809C22×C312yes—
175#809C22×C312yes—
176#808C22×C312yes—
177#807C22×C312yes—
178C4⋊(C3⋊C8)C22×C311yescharacteristic
179C4⋊(C3⋊C8)C22×C311yescharacteristic
180C4⋊(C3⋊C8)C22×C312yes—
181C23×C32—21no—
182C23×C32C2×D411yescharacteristic
183C22×C3×D3—22no—
184C32×Q8—21no—
185C32×Q8—21no—
186C32×D4—21no—
187C32×D4—21no—
188C32×D4—42no—
189C2×C32×C4—21no—
190C2×C32×C4—21no—
191C2×C32×C4—21no—
192C2×C32×C4—22no—
193C2×C32×C4—22no—
194C2×C32×C4—21no—
195C2×C32×C4—21no—
196C2×C32×C4—42no—
197C2×C32×C4C2×D411yescharacteristic
198C2×C32×C4C2×D411yescharacteristic
199C2×C32×C4C2×D411yescharacteristic
200C2×C32×C4C2×D411yescharacteristic
201C2×C32×C4C2×D411yescharacteristic
202C2×C32×C4C2411yescharacteristic
203C3×#67—44no—
204C2×C3×Dic3—22no—
205C3×D12—22no—
206C3×D12—22no—
207C3×D12—42no—
208C3×D12—42no—
209C3×C4×D3—44no—
210C3×Dic6—42no—
211C3×C3⋊C8—22no—
212C3×C3⋊C8—22no—
213#532—31no—
214#529C3×D311yescharacteristic, complemented
215#478—32no—
216#477—31no—
217#476—31no—
218#466—32no—
219#465—32no—
220#463—32no—
221#460—31no—
222#459—31no—
223C2×C4⋊C8—31no—
224C3×#41—124no—
225C2×C3×Q8—21no—
226C2×C3×Q8—61no—
227C2×C3×Q8C22×D311yescharacteristic
228C2×C3×Q8C23×C311yescharacteristic
229C2×C3×D4—22no—
230C2×C3×D4—21no—
231C2×C3×D4—21no—
232C2×C3×D4—21no—
233C2×C3×D4—32no—
234C2×C3×D4—62no—
235C2×C3×D4—61no—
236C2×C3×D4—61no—
237C2×C3×D4C22×D311yescharacteristic
238C2×C3×D4C23×C311yescharacteristic
239C22×C3×C4—22no—
240C22×C3×C4—21no—
241C22×C3×C4—21no—
242C22×C3×C4—21no—
243C22×C3×C4—21no—
244C22×C3×C4—21no—
245C22×C3×C4—62no—
246C22×C3×C4#6711yescharacteristic
247C22×C3×C4#6711yescharacteristic
248C22×C3×C4C3×D411yescharacteristic
249C22×C3×C4C3×D411yescharacteristic
250C22×C3×C4C22×D311yescharacteristic
251C22×C3×C4C23×C311yescharacteristic
252C2×#67—22no—
253#235—44no—
254C2×D12—21no—
255C2×D12—21no—
256C2×D12C23×C312yes—
257C2×C4×D3—22no—
258C2×Dic6—21no—
259C3×SD16—122no—
260C3×D8—122no—
261C2×C3×C8—32no—
262C2×C3×C8—32no—
263C2×C3×C8—122no—
264C3×C4⋊C4—22no—
265C3×C4⋊C4—22no—
266C3×C4⋊C4—22no—
267C3×C4⋊C4—22no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—21no—
271C3×C4⋊C4—21no—
272C3×C4⋊C4—21no—
273C3×C4⋊C4—21no—
274C3×C4⋊C4—21no—
275C3×C4⋊C4—21no—
276C3×C4⋊C4—21no—
277C3×C4⋊C4—21no—
278C3×C4⋊C4—32no—
279C3×C4⋊C4—61no—
280C3×C4⋊C4C22×D311yescharacteristic
281C3×C4⋊C4C22×D311yescharacteristic
282C3×C4⋊C4C23×C311yescharacteristic
283C3×C4⋊C4C23×C311yescharacteristic
284C3×C22⋊C4—22no—
285C3×C22⋊C4—22no—
286C3×C22⋊C4—22no—
287C3×C22⋊C4—22no—
288C3×C22⋊C4—22no—
289C3×C22⋊C4—21no—
290C3×C22⋊C4—21no—
291C3×C22⋊C4—21no—
292C3×C22⋊C4—21no—
293C3×C22⋊C4—21no—
294C3×C22⋊C4—21no—
295C3×C22⋊C4—21no—
296C3×C22⋊C4—21no—
297C3×C22⋊C4—21no—
298C3×C22⋊C4—21no—
299C3×C22⋊C4—62no—
300C3×C22⋊C4—62no—
301C3×C42—22no—
302C3×C42—21no—
303C3×C42—21no—
304C3×C42—21no—
305C3×C42—21no—
306C3×C42—21no—
307C3×C42—21no—
308C3×C42#6711yescharacteristic
309C3×C42#6711yescharacteristic
310C3×C42C3×D411yescharacteristic
311C3×C42C3×D411yescharacteristic
312C3×C42C22×D311yescharacteristic
313C3×C42C22×D311yescharacteristic
314C3×C42C23×C311yescharacteristic
315C3×C42C23×C311yescharacteristic
316#215—42no—
317#213—42no—
318(C2×D3)⋊C4—22no—
319(C2×D3)⋊C4—22no—
320C4⋊Dic3—21no—
321C4⋊Dic3C23×C312yes—
322C2×C3⋊C8—42no—
323C2×C3⋊C8C23×C312yes—
324C2×C3⋊C8C23×C312yes—
325C22×C32—21no—
326C22×C32—21no—
327C22×C32—41no—
328C22×C32—41no—
329C22×C32—41no—
330C22×C32AGL(1,ℤ/8)12yes—
331C22×C32C22×D411yescharacteristic
332C2×C3×D3—42no—
333C2×C3×D3—42no—
334C2×C3×D3—42no—
335C32×C4—21no—
336C32×C4—21no—
337C32×C4—21no—
338C32×C4—21no—
339C32×C4—41no—
340C32×C4—41no—
341C32×C4—41no—
342C32×C4#13512yes—
343C32×C4H(5,𝔽2)11yescharacteristic
344C32×C42−1+411yescharacteristic
345C3×Dic3—42no—
346C2×#41—61no—
347C2×SD16—32no—
348C2×D8—32no—
349C22×C8—32no—
350C4⋊Q8—31no—
351#127—31no—
352#126—21no—
353#125C2×C3×D311yescharacteristic
354#124—61no—
355#124C2×C3×D311yescharacteristic
356#123—21no—
357C22⋊Q8C2×C3×D311yescharacteristic
358#121—32no—
359#121—61no—
360#121C2×C3×D311yescharacteristic
361C4×Q8C2×C3×D311yescharacteristic
362C4×D4—21no—
363C4×D4—32no—
364C4×D4—61no—
365C4×D4C2×C3×D311yescharacteristic
366#117—21no—
367C2×C42C2×C3×D311yescharacteristic
368#107—32no—
369#106—32no—
370C4⋊C8—31no—
371C4⋊C8—31no—
372C4⋊C8—32no—
373#103—32no—
374#102—32no—
375#102—32no—
376#102—32no—
377C23×C3—22no—
378C23×C3—21no—
379C23×C3—21no—
380C23×C3—21no—
381C23×C3—62no—
382C23×C3C2×#6711yescharacteristic
383C23×C3C2×C3×D411yescharacteristic
384C22×D3—22no—
385C3×Q8—21no—
386C3×Q8—21no—
387C3×Q8—21no—
388C3×Q8—21no—
389C3×Q8—41no—
390C3×Q8—41no—
391C3×Q8—122no—
392C3×D4—21no—
393C3×D4—21no—
394C3×D4—21no—
395C3×D4—21no—
396C3×D4—41no—
397C3×D4—41no—
398C3×D4—44no—
399C3×D4—42no—
400C3×D4—42no—
401C3×D4—62no—
402C3×D4—62no—
403C3×D4—122no—
404C3×D4—124no—
405C3×D4—122no—
406C2×C3×C4—22no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—22no—
415C2×C3×C4—22no—
416C2×C3×C4—22no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4—21no—
429C2×C3×C4—42no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4—42no—
433C2×C3×C4—44no—
434C2×C3×C4—42no—
435C2×C3×C4—42no—
436C2×C3×C4—62no—
437C2×C3×C4—124no—
438C2×C3×C4C2×#6711yescharacteristic
439C2×C3×C4C2×#6711yescharacteristic
440C2×C3×C4C2×#6711yescharacteristic
441C2×C3×C4C2×#6711yescharacteristic
442C2×C3×C4C2×#6711yescharacteristic
443C2×C3×C4C2×C3×D411yescharacteristic
444C2×C3×C4C2×C3×D411yescharacteristic
445C2×C3×C4C2×C3×D411yescharacteristic
446C2×C3×C4C2×C3×D411yescharacteristic
447C2×C3×C4C2×C3×D411yescharacteristic
448C2×C3×C4C23×D311yescharacteristic
449C2×C3×C4C24×C311yescharacteristic
450#67—44no—
451C2×Dic3—22no—
452D12—22no—
453D12—22no—
454D12—42no—
455D12—42no—
456C4×D3—44no—
457Dic6—42no—
458C3×C8—62no—
459C3×C8—62no—
460C3⋊C8—22no—
461C3⋊C8—22no—
462C2×C32—22no—
463C2×C32—81no—
464C2×C32#53711yescharacteristic
465C2×C32C2×#13511yescharacteristic
466C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
467C3×D3—82no—
468#41—124no—
469C2×Q8—61no—
470C2×Q8C22×C3×D311yescharacteristic
471C2×D4—21no—
472C2×D4—32no—
473C2×D4—62no—
474C2×D4—61no—
475C2×D4—61no—
476C2×D4C22×C3×D311yescharacteristic
477C22×C4—21no—
478C22×C4—62no—
479C22×C4C3×#6711yescharacteristic
480C22×C4C3×#6711yescharacteristic
481C22×C4C22×C3×D311yescharacteristic
482SD16—122no—
483D8—122no—
484C2×C8—32no—
485C2×C8—32no—
486C2×C8—122no—
487C4⋊C4—21no—
488C4⋊C4—21no—
489C4⋊C4—21no—
490C4⋊C4—21no—
491C4⋊C4—32no—
492C4⋊C4—61no—
493C4⋊C4C22×C3×D311yescharacteristic
494C4⋊C4C22×C3×D311yescharacteristic
495C22⋊C4—21no—
496C22⋊C4—21no—
497C22⋊C4—21no—
498C22⋊C4—21no—
499C22⋊C4—21no—
500C22⋊C4—62no—
501C22⋊C4—62no—
502C42—21no—
503C42C3×#6711yescharacteristic
504C42C3×#6711yescharacteristic
505C42C22×C3×D311yescharacteristic
506C42C22×C3×D311yescharacteristic
507C22×C3—21no—
508C22×C3—21no—
509C22×C3—21no—
510C22×C3—21no—
511C22×C3—22no—
512C22×C3—21no—
513C22×C3—41no—
514C22×C3—41no—
515C22×C3—42no—
516C22×C3—42no—
517C22×C3—42no—
518C22×C3—41no—
519C22×C3—41no—
520C22×C3—41no—
521C22×C3—41no—
522C22×C3—41no—
523C22×C3—41no—
524C22×C3—122no—
525C22×C3—122no—
526C22×C3—122no—
527C22×C3#94912yes—
528C22×C3C3×AGL(1,ℤ/8)12yes—
529C22×C3C22×#6711yescharacteristic
530C22×C3C22×C3×D411yescharacteristic
531C2×D3—42no—
532C2×D3—42no—
533C2×D3—42no—
534C3×C4—21no—
535C3×C4—21no—
536C3×C4—21no—
537C3×C4—21no—
538C3×C4—21no—
539C3×C4—21no—
540C3×C4—21no—
541C3×C4—21no—
542C3×C4—22no—
543C3×C4—21no—
544C3×C4—21no—
545C3×C4—41no—
546C3×C4—41no—
547C3×C4—41no—
548C3×C4—41no—
549C3×C4—42no—
550C3×C4—42no—
551C3×C4—42no—
552C3×C4—41no—
553C3×C4—41no—
554C3×C4—41no—
555C3×C4—41no—
556C3×C4—41no—
557C3×C4—41no—
558C3×C4—122no—
559C3×C4#95012yes—
560C3×C4C3×#13512yes—
561C3×C4#100911yescharacteristic
562C3×C4#101011yescharacteristic
563C3×C4C3×H(5,𝔽2)11yescharacteristic
564C3×C4C3×2−1+411yescharacteristic
565Dic3—42no—
566C32#324711yescharacteristic, complemented, Sylow
567C23—21no—
568C23—62no—
569C23C2×C3×#6711yescharacteristic
570Q8—21no—
571Q8—21no—
572Q8—122no—
573D4—21no—
574D4—21no—
575D4—42no—
576D4—62no—
577D4—62no—
578D4—122no—
579D4—124no—
580D4—122no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—42no—
589C2×C4—62no—
590C2×C4—124no—
591C2×C4C2×C3×#6711yescharacteristic
592C2×C4C2×C3×#6711yescharacteristic
593C2×C4C2×C3×#6711yescharacteristic
594C2×C4C2×C3×#6711yescharacteristic
595C2×C4C2×C3×#6711yescharacteristic
596C2×C4C23×C3×D311yescharacteristic
597C8—62no—
598C8—62no—
599C2×C3—22no—
600C2×C3—22no—
601C2×C3—21no—
602C2×C3—21no—
603C2×C3—21no—
604C2×C3—42no—
605C2×C3—82no—
606C2×C3—81no—
607C2×C3—81no—
608C2×C3—242no—
609C2×C3C2×#94911yescharacteristic
610C2×C3C2×#95011yescharacteristic
611C2×C3#583311yescharacteristic
612C2×C3C3×#53711yescharacteristic
613C2×C3C2×C3×#13511yescharacteristic
614C2×C3C2×C3×AGL(1,ℤ/8)11yescharacteristic
615D3—82no—
616C22—21no—
617C22—21no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—122no—
622C22—122no—
623C22—122no—
624C22C3×#94912yes—
625C22C22×C3×#6711yescharacteristic
626C4—21no—
627C4—21no—
628C4—21no—
629C4—21no—
630C4—41no—
631C4—41no—
632C4—41no—
633C4—122no—
634C4C3×#95012yes—
635C4C3×#100911yescharacteristic
636C4C3×#101011yescharacteristic
637C3—21no—
638C3#8314811yescharacteristic, direct product factor
639C3C3×#324711yescharacteristic, complemented
640C2—22no—
641C2—81no—
642C2—242no—
643C2C2×C3×#94911yescharacteristic
644C2C2×C3×#95011yescharacteristic
645C2C3×#583311yescharacteristic
subgroupG/H
centerC22×C3C22×#67
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#529C2
socleC22×C32C22×D4
hypercenterC3×#529D3
hypocenterC3C3×#3247
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C2×C3×C42 ◁ C3×#529

Complements

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

NH ≅ G/Ntype
1. C32×#529C2semidirect
2. C3×#5477C2semidirect
3. C3×#5066C2semidirect
4. C3×#5057C2semidirect
5. C3×#5048C2semidirect
6. C3×#5038C2semidirect
7. C3×#5027C2semidirect
8. C3×#5021C2semidirect
9. C3×#5015C2semidirect
10. C3×#5008C2semidirect
11. C2×C3×C4⋊(C3⋊C8)C2semidirect
13. #83148C3direct (N × H)
47. C3×#529D3semidirect
48. C3×#529C2×C3semidirect
49. #5477C2×C3semidirect
59. #5066C2×C3semidirect
60. #5057C2×C3semidirect
61. #5048C2×C3semidirect
62. #5038C2×C3semidirect
63. #5027C2×C3semidirect
64. #5021C2×C3semidirect
65. #5015C2×C3semidirect
66. #5008C2×C3semidirect
67. C2×C4⋊(C3⋊C8)C2×C3semidirect
214. #529C3×D3semidirect
566. C32#3247semidirect
638. C3#83148direct (N × H)
639. C3C3×#3247semidirect

Maximal subgroups

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

subgroupindex
C32×#5292
C3×#54772
C3×#50662
C3×#50572
C3×#50482
C3×#50382
C3×#50272
C3×#50212
C3×#50152
C3×#50082
C2×C3×C4⋊(C3⋊C8)2
C3×#32473
#831483