Finite Group Databasebeta

← #35569541

Subgroups — #35569541

Order 21248.

2132 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128424C211yesmaximal, characteristic
2#24910654C214yesmaximal, complemented
3#24910534C212yesmaximal
4#24910521C211yesmaximal, characteristic, complemented
5#24910464C212yesmaximal, complemented
6#24910375C212yesmaximal, complemented
7#24910363C211yesmaximal, characteristic
8#24910355C212yesmaximal, complemented
9#24910231C214yesmaximal, complemented
10#24910171C212yesmaximal
11#24910139C212yesmaximal, complemented
12#24910109C212yesmaximal, complemented
13#24910085C212yesmaximal, complemented
14#24910030C211yesmaximal, characteristic, complemented
15#24909941C211yesmaximal, characteristic, complemented
16#24909924C211yesmaximal, characteristic
17Q8×C4⋊C4×C83C211yesmaximal, characteristic, complemented
18#19128424C4116yescomplemented
19C2×#14581792C2211yescharacteristic
20C2×#14581787C2214yes—
21C2×#14581780C2212yes—
22C2×#14581768C2212yes—
23C2×C4×Dic166C2212yes—
24C2×#14581757C2212yes—
25C2×#14581757C2212yes—
26C2×C4×D332C2211yescharacteristic
27C2×#14581754C2212yes—
28C2×#14581750C2212yes—
29C2×#14581749C2212yes—
30C2×C4⋊C4×D83C2212yes—
31#19127608C2211yescharacteristic
32#19127608C2211yescharacteristic
33#19127606C2212yes—
34#19127606C2212yes—
35#19127602C2211yescharacteristic
36#19127602C2211yescharacteristic
37#19127600C2211yescharacteristic
38#19127600C2211yescharacteristic
39#19127599C2212yes—
40#19127597C2212yes—
41#19127597C2212yes—
42#19127597C2211yescharacteristic
43#19127597C2211yescharacteristic
44#19127597C2212yes—
45#19127596C2214yes—
46#19127596C2214yes—
47#19127593C2214yes—
48#19127592C2214yes—
49#19127591C2214yes—
50#19127591C2214yes—
51#19127590C2212yes—
52#19127590C2212yes—
53#19127587C2212yes—
54#19127587C2212yes—
55#19127586C2214yes—
56#19127585C2214yes—
57#19127585C2214yes—
58#19127575C2214yes—
59#19127572C2214yes—
60#19127572C2214yes—
61#19127572C2214yes—
62#19127570C2214yes—
63#19127568C2214yes—
64#19127565C2214yes—
65#19127558C2212yes—
66C4⋊C4×Dic83C2214yes—
67C4⋊C4×Dic83C2212yes—
68C4⋊C4×Dic83C2212yes—
69C4×C4⋊Dic83C2212yes—
70C4×C4⋊Dic83C2211yescharacteristic
71C4×C4⋊Dic83C2212yes—
72C4×(C2×D83)⋊C4C2212yes—
73C4×(C2×D83)⋊C4C2214yes—
74#19127547C2212yes—
75C42×Dic83C2211yescharacteristic
76C2×C4×Q8×C83C2212yes—
77C2×C4×Q8×C83C2211yescharacteristic
78#389×C83C2212yes—
79#389×C83C2214yes—
80#384×C83C2211yescharacteristic
81#384×C83C2212yes—
82C4×C4⋊C4×C83C2212yes—
83C4×C4⋊C4×C83C2211yescharacteristic
84C22×Dic166C2312yes—
85C22×D332C2311yescharacteristic
86C22×C4×D83C2312yes—
87C22×C4×D83C2314yes—
88#14581792C2×C418yescomplemented
89#14581787C2×C4132yescomplemented
90#14581780C2×C4116yes—
91#14581768C2×C4116yescomplemented
92C4×Dic166C2×C4116yescomplemented
93#14581757—44no—
94#14581757—44no—
95C4×D332C2×C418yes—
96#14581754—44no—
97#14581750C2×C4116yescomplemented
98#14581749—44no—
99C2×C4⋊Dic83C2311yescharacteristic
100C2×C4⋊Dic83C2312yes—
101C2×C4⋊Dic83C2311yescharacteristic
102C2×C4⋊Dic83C2312yes—
103C2×C4⋊Dic83C2312yes—
104C2×C4⋊Dic83C2312yes—
105C2×C4⋊Dic83C2311yescharacteristic
106C2×Dic83⋊C4C2312yes—
107C2×Dic83⋊C4C2314yes—
108C2×Dic83⋊C4C2312yes—
109C2×Dic83⋊C4C2314yes—
110C2×Dic83⋊C4C2314yes—
111C2×Dic83⋊C4C2314yes—
112C4⋊C4×D83—44no—
113C2×(C2×D83)⋊C4C2312yes—
114C2×(C2×D83)⋊C4C2314yes—
115C2×(C2×D83)⋊C4C2312yes—
116C2×(C2×D83)⋊C4C2312yes—
117C2×(C2×D83)⋊C4C2312yes—
118C2×(C2×D83)⋊C4C2312yes—
119C2×(C2×D83)⋊C4C2314yes—
120C2×(C2×D83)⋊C4C2314yes—
121C2×C4×Dic83C2311yescharacteristic
122C2×C4×Dic83C2312yes—
123C2×C4×Dic83C2311yescharacteristic
124C2×C4×Dic83C2311yescharacteristic
125C2×C4×Dic83C2311yescharacteristic
126C2×C4×Dic83C2311yescharacteristic
127C2×C4×Dic83C2314yes—
128C2×C4×Dic83C2314yes—
129C2×C4×Dic83C2311yescharacteristic
130C2×C4×Dic83C2314yes—
131C83⋊#95C2314yes—
132C83⋊#95C2312yes—
133C83⋊#95C2312yes—
134C83⋊#95C2312yes—
135C83⋊#95C2312yes—
136C83⋊#95C2314yes—
137C83⋊#95C2314yes—
138C83⋊#95C2314yes—
139C83⋊#95C2312yes—
140C83⋊#95C2314yes—
141C83⋊#95C2312yes—
142C83⋊#95C2312yes—
143C83⋊#95C2312yes—
144C83⋊#95C2312yes—
145C22×Q8×C83C2311yescharacteristic
146C4×Q8×C83—44no—
147C4×Q8×C83C2×C418yescomplemented
148C2×C4⋊C4×C83C2312yes—
149C2×C4⋊C4×C83C2311yescharacteristic
150C2×C4⋊C4×C83C2311yescharacteristic
151C2×C4⋊C4×C83C2312yes—
152C2×C4⋊C4×C83C2314yes—
153C2×C4⋊C4×C83C2312yes—
154C2×C4⋊C4×C83C2314yes—
155C2×C4⋊C4×C83C2312yes—
156C2×C4⋊C4×C83C2311yescharacteristic
157C2×C42×C83C2312yes—
158C2×C42×C83C2314yes—
159C2×C42×C83C2311yescharacteristic
160C2×C42×C83C2312yes—
161#95×C83C2314yes—
162#95×C83C2312yes—
163C23×D83C2412yes—
164C2×Dic166—24no—
165C2×Dic166—24no—
166C2×Dic166C22×C418yes—
167C2×D332—22no—
168C2×D332—22no—
169C2×D332C22×C414yes—
170C22×Dic83C2412yes—
171C22×Dic83C2411yescharacteristic
172C22×Dic83C2411yescharacteristic
173C22×Dic83C2412yes—
174C22×Dic83C2411yescharacteristic
175C22×Dic83C2412yes—
176C22×Dic83C2414yes—
177C22×Dic83C2411yescharacteristic
178C2×C4×D83—24no—
179C2×C4×D83—24no—
180C2×C4×D83—44no—
181C2×C4×D83—44no—
182C2×C4×D83—44no—
183C2×C4×D83C22×C418yes—
184C4⋊Dic83—22no—
185C4⋊Dic83—22no—
186C4⋊Dic83—24no—
187C4⋊Dic83—42no—
188C4⋊Dic83C22×C418yes—
189C4⋊Dic83C22×C418yes—
190C4⋊Dic83C22×C414yes—
191Dic83⋊C4—44no—
192Dic83⋊C4—42no—
193Dic83⋊C4—42no—
194Dic83⋊C4—44no—
195Dic83⋊C4—44no—
196Dic83⋊C4C22×C4116yes—
197(C2×D83)⋊C4—24no—
198(C2×D83)⋊C4—42no—
199(C2×D83)⋊C4—42no—
200(C2×D83)⋊C4—42no—
201(C2×D83)⋊C4—44no—
202(C2×D83)⋊C4C22×C4116yes—
203(C2×D83)⋊C4C22×C4116yes—
204(C2×D83)⋊C4C22×C418yes—
205C4×Dic83—22no—
206C4×Dic83—24no—
207C4×Dic83—22no—
208C4×Dic83—22no—
209C4×Dic83—22no—
210C4×Dic83—22no—
211C4×Dic83—41no—
212C4×Dic83—44no—
213C4×Dic83—44no—
214C4×Dic83C22×C4116yes—
215C2×Q8×C83—22no—
216C2×Q8×C83—22no—
217C2×Q8×C83C22×C414yes—
218C22×C4×C83C2414yes—
219C22×C4×C83C2412yes—
220C22×C4×C83C2412yes—
221C22×C4×C83C2411yescharacteristic
222C22×C4×C83C2412yes—
223C22×C4×C83C2412yes—
224C22×C4×C83C2411yescharacteristic
225C22×C4×C83C2411yescharacteristic
226C4⋊C4×C83—24no—
227C4⋊C4×C83—24no—
228C4⋊C4×C83—22no—
229C4⋊C4×C83—22no—
230C4⋊C4×C83—42no—
231C4⋊C4×C83—44no—
232C4⋊C4×C83—44no—
233C4⋊C4×C83C22×C418yes—
234C4⋊C4×C83C22×C414yes—
235C42×C83—24no—
236C42×C83—44no—
237C42×C83C22×C418yes—
238C42×C83C22×C414yes—
239C23×C83C2511yescharacteristic
240C22×D83—22no—
241C22×D83—22no—
242C22×D83—22no—
243C22×D83—22no—
244C22×D83—22no—
245C22×D83—22no—
246C22×D83C23×C414yes—
247Q8×C83—28no—
248C2×C4×C83—22no—
249C2×C4×C83—22no—
250C2×C4×C83—21no—
251C2×C4×C83—22no—
252C2×C4×C83—21no—
253C2×C4×C83—22no—
254C2×C4×C83—22no—
255C2×C4×C83—22no—
256C2×C4×C83—24no—
257C2×C4×C83—22no—
258C2×C4×C83—24no—
259C2×C4×C83—22no—
260C2×C4×C83—22no—
261C2×C4×C83—22no—
262C2×C4×C83—24no—
263C2×C4×C83C23×C414yes—
264C2×C4×C83C23×C412yes—
265C2×C4×C83C23×C414yes—
266C2×C4×C83C23×C412yes—
267C2×C4×C83C23×C412yes—
268C2×C4×C83H(5,𝔽2)12yes—
269C2×C4×C83H(5,𝔽2)12yes—
270C2×C4×C832−1+412yes—
271C2×C4×C832−1+412yes—
272C2×Dic83—21no—
273C2×Dic83—24no—
274C2×Dic83—22no—
275C2×Dic83—21no—
276C2×Dic83—22no—
277C2×Dic83—24no—
278C2×Dic83—22no—
279C2×Dic83—21no—
280C2×Dic83—21no—
281C2×Dic83—21no—
282C2×Dic83—22no—
283C2×Dic83—22no—
284C2×Dic83—21no—
285C2×Dic83—21no—
286C2×Dic83—21no—
287C2×Dic83—21no—
288C2×Dic83—22no—
289C2×Dic83—22no—
290C2×Dic83—21no—
291C2×Dic83—21no—
292C2×Dic83—22no—
293C2×Dic83C23×C414yes—
294C2×Dic83C23×C418yes—
295C2×Dic832−1+412yes—
296D332—28no—
297C4×D83—216no—
298C4×D83—88no—
299Dic166—216no—
300C22×C83C24×C411yescharacteristic
301C22×C83C2×H(5,𝔽2)11yescharacteristic
302C22×C83C2×H(5,𝔽2)11yescharacteristic
303C22×C83C2×2−1+411yescharacteristic
304C22×C83C2×2−1+411yescharacteristic
305C22×C83C2×2−1+411yescharacteristic
306C22×C83#58511yescharacteristic
307C2×D83—24no—
308C2×D83—24no—
309C2×D83—24no—
310C2×D83—42no—
311C2×D83—42no—
312C2×D83—42no—
313C2×D83—42no—
314C4×C83—24no—
315C4×C83—22no—
316C4×C83—24no—
317C4×C83—44no—
318C4×C83—42no—
319C4×C83—42no—
320C4×C83#52014yes—
321C4×C83#52014yes—
322Dic83—28no—
323Dic83—24no—
324Dic83—22no—
325Dic83—42no—
326Dic83—41no—
327Dic83—41no—
328Dic83—42no—
329Dic83—41no—
330#34481—831nomaximal, Sylow
331C2×C83C2×#52011yescharacteristic
332C2×C83C2×#52011yescharacteristic
333C2×C83C4×2−1+411yescharacteristic
334C2×C83#354611yescharacteristic
335C2×C83#355011yescharacteristic
336C2×C83#355211yescharacteristic
337C2×C83#355511yescharacteristic
338D83—44no—
339C2×#556—831no—
340#2383—834no—
341#2367—832no—
342#2365—831no—
343#2360—832no—
344Q8×C4⋊C4—832no—
345Q8×C4⋊C4D8311yescharacteristic, complemented
346D4×C4⋊C4—831no—
347#2347—832no—
348#2334—834no—
349#2326—832no—
350#2323—832no—
351#2320—832no—
352#2317—832no—
353C4×C4⋊Q8—831no—
354#2295—831no—
355#2293—831no—
356C83#3448111yescharacteristic, complemented, Sylow
357#556—8316no—
358C2×C4⋊Q8—831no—
359C2×#126—834no—
360C2×#124—832no—
361C2×C22⋊Q8—832no—
362C2×C4×Q8—832no—
363C2×C4×Q8—832no—
364C2×C4×Q8—832no—
365C2×C4×Q8C2×D8312yes—
366C2×C4×Q8C2×D8311yescharacteristic
367C2×C4×D4—832no—
368C2×C4×D4—831no—
369C2×#117—832no—
370C2×#117—832no—
371C22×C4⋊C4—832no—
372#391—831no—
373#391—831no—
374#391—832no—
375#391—832no—
376#390—831no—
377#390—831no—
378#389—832no—
379#389—832no—
380#389—831no—
381#389—831no—
382#389—832no—
383#389—834no—
384#389—834no—
385#389—831no—
386#389—831no—
387#389—832no—
388#389C2×D8312yes—
389#389C2×D8314yes—
390#388—834no—
391#388—834no—
392#388—834no—
393#388—832no—
394#388—834no—
395#388—832no—
396#387—832no—
397#387—832no—
398#387—834no—
399#387—834no—
400#387—834no—
401#385—834no—
402#385—834no—
403#385—834no—
404#385—834no—
405#384—834no—
406#384C2×D8311yescharacteristic
407#384C2×D8312yes—
408#383—834no—
409#382—834no—
410#380—832no—
411C4×C4⋊C4—832no—
412C4×C4⋊C4—832no—
413C4×C4⋊C4—834no—
414C4×C4⋊C4—832no—
415C4×C4⋊C4—831no—
416C4×C4⋊C4—832no—
417C4×C4⋊C4C2×D8312yes—
418C4×C4⋊C4C2×D8311yescharacteristic
419C4×C22⋊C4—834no—
420C4×C22⋊C4—832no—
421#376—832no—
422C43—831no—
423C22×Q8—832no—
424C22×Q8C22×D8311yescharacteristic
425C22×D4—831no—
426C23×C4—834no—
427C23×C4—832no—
428C4⋊Q8—838no—
429#126—8332no—
430#124—8316no—
431C22⋊Q8—8316no—
432C4×Q8—44no—
433C4×Q8—3324no—
434C4×Q8—3324no—
435C4×Q8—8316no—
436C4×Q8C4×D8318yescomplemented
437C4×D4—3324no—
438C4×D4—838no—
439#117—3324no—
440#117—8316no—
441C2×C4⋊C4—3324no—
442C2×C4⋊C4—834no—
443C2×C4⋊C4—832no—
444C2×C4⋊C4—832no—
445C2×C4⋊C4—834no—
446C2×C4⋊C4—834no—
447C2×C4⋊C4—832no—
448C2×C4⋊C4—832no—
449C2×C4⋊C4—831no—
450C2×C4⋊C4—834no—
451C2×C4⋊C4—832no—
452C2×C4⋊C4—831no—
453C2×C4⋊C4—831no—
454C2×C4⋊C4—832no—
455C2×C4⋊C4C22×D8312yes—
456C2×C4⋊C4C22×D8312yes—
457C2×C4⋊C4C22×D8311yescharacteristic
458C2×C4⋊C4C22×D8311yescharacteristic
459C2×C4⋊C4C22×D8314yes—
460C2×C4⋊C4C22×D8314yes—
461C2×C4⋊C4C22×D8312yes—
462C2×C4⋊C4C22×D8311yescharacteristic
463C2×C4⋊C4C22×D8312yes—
464C2×C22⋊C4—832no—
465C2×C22⋊C4—832no—
466C2×C22⋊C4—834no—
467C2×C22⋊C4—832no—
468C2×C22⋊C4—834no—
469C2×C22⋊C4—832no—
470C2×C22⋊C4—834no—
471C2×C22⋊C4—832no—
472C2×C42—834no—
473C2×C42—834no—
474C2×C42—831no—
475C2×C42—834no—
476C2×C42—831no—
477C2×C42—832no—
478C2×C42—831no—
479C2×C42—831no—
480C2×C42—831no—
481C2×C42—831no—
482C2×C42C22×D8312yes—
483C2×C42C22×D8314yes—
484C2×C42C22×D8311yescharacteristic
485C2×C42C22×D8312yes—
486#95—832no—
487#95—832no—
488#95—832no—
489#95—832no—
490#95—832no—
491#95—832no—
492#95—834no—
493#95—832no—
494#95—834no—
495#95—834no—
496#95—834no—
497#95—834no—
498#95—832no—
499#95—832no—
500#95C22×D8314yes—
501#95C22×D8312yes—
502C24—832no—
503C2×Q8—22no—
504C2×Q8—22no—
505C2×Q8—838no—
506C2×Q8—1664no—
507C2×Q8—1664no—
508C2×Q8C2×C4×D8314yes—
509C2×D4—834no—
510C2×D4—1662no—
511C2×D4—1662no—
512C22×C4—3324no—
513C22×C4—3324no—
514C22×C4—3324no—
515C22×C4—831no—
516C22×C4—834no—
517C22×C4—832no—
518C22×C4—838no—
519C22×C4—831no—
520C22×C4—831no—
521C22×C4—832no—
522C22×C4—832no—
523C22×C4—831no—
524C22×C4—1664no—
525C22×C4—1664no—
526C22×C4C23×D8312yes—
527C22×C4C23×D8314yes—
528C22×C4C23×D8312yes—
529C22×C4C23×D8312yes—
530C22×C4C23×D8311yescharacteristic
531C22×C4C23×D8312yes—
532C22×C4C23×D8311yescharacteristic
533C22×C4C23×D8311yescharacteristic
534C4⋊C4—24no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—44no—
539C4⋊C4—42no—
540C4⋊C4—44no—
541C4⋊C4—3324no—
542C4⋊C4—3322no—
543C4⋊C4—3322no—
544C4⋊C4—3324no—
545C4⋊C4—3324no—
546C4⋊C4—3322no—
547C4⋊C4—838no—
548C4⋊C4—834no—
549C4⋊C4—8316no—
550C4⋊C4—838no—
551C4⋊C4—1664no—
552C4⋊C4—1662no—
553C4⋊C4—1662no—
554C4⋊C4C2×C4×D8314yes—
555C4⋊C4C2×C4×D8318yes—
556C22⋊C4—3322no—
557C22⋊C4—3322no—
558C22⋊C4—3324no—
559C22⋊C4—3322no—
560C22⋊C4—8316no—
561C22⋊C4—838no—
562C22⋊C4—8316no—
563C22⋊C4—1664no—
564C42—24no—
565C42—44no—
566C42—3324no—
567C42—3324no—
568C42—3321no—
569C42—8316no—
570C42—1662no—
571C42—1662no—
572C42—1664no—
573C42—1662no—
574C42—1662no—
575C42—1662no—
576C42C2×C4×D8314yes—
577C42C2×C4×D8318yes—
578C23—834no—
579C23—1662no—
580C23—1662no—
581C23—1662no—
582C23—1662no—
583C23—1662no—
584C23—1662no—
585C23C24×D8311yescharacteristic
586Q8—28no—
587Q8—16616no—
588D4—1668no—
589C2×C4—22no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—834no—
605C2×C4—838no—
606C2×C4—832no—
607C2×C4—6648no—
608C2×C4—1661no—
609C2×C4—1661no—
610C2×C4—1662no—
611C2×C4—1662no—
612C2×C4—1661no—
613C2×C4—1662no—
614C2×C4—1661no—
615C2×C4—1662no—
616C2×C4—1661no—
617C2×C4—1661no—
618C2×C4—1661no—
619C2×C4—1662no—
620C2×C4—1661no—
621C2×C4—1661no—
622C2×C4—1662no—
623C2×C4—1662no—
624C2×C4—1661no—
625C2×C4—1664no—
626C2×C4—1661no—
627C2×C4—1662no—
628C2×C4—1664no—
629C2×C4—16616no—
630C2×C4C22×C4×D8314yes—
631C2×C4C22×C4×D8312yes—
632C2×C4C22×C4×D8314yes—
633C2×C4C22×C4×D8312yes—
634C2×C4C22×C4×D8312yes—
635C2×C4#1458183712yes—
636C2×C4#1458183812yes—
637C2×C4#1458184012yes—
638C2×C4#1458184012yes—
639C22—3322no—
640C22—3322no—
641C22—3322no—
642C22—3322no—
643C22—1664no—
644C22—1664no—
645C22—1664no—
646C22C23×C4×D8311yescharacteristic
647C22C2×#1458183711yescharacteristic
648C22C2×#1458183811yescharacteristic
649C222−1+4×D8311yescharacteristic
650C22C2×#1458184011yescharacteristic
651C22C2×#1458184011yescharacteristic
652C22#1912853611yescharacteristic
653C4—24no—
654C4—22no—
655C4—24no—
656C4—42no—
657C4—44no—
658C4—42no—
659C4—3321no—
660C4—3322no—
661C4—3321no—
662C4—3322no—
663C4—3321no—
664C4—1662no—
665C4—1664no—
666C4—1668no—
667C4#1912818214yes—
668C4#1912818314yes—
669C2—3324no—
670C2C2×#1912818211yescharacteristic
671C2C2×#1912818311yescharacteristic
672C2#2492067411yescharacteristic
673C2#2492182311yescharacteristic
674C2#2492187011yescharacteristic
675C2#2492190911yescharacteristic
676C2#2492195211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingQ8×C4⋊C4×C83C2
socle, cosocleC23×C83C25
prime radicalC22×D332C23
hypercenterQ8×C4⋊C4D83
hypocenterC83#34481
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ Q8×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. #24910654C2semidirect
4. #24910521C2semidirect
5. #24910464C2semidirect
6. #24910375C2semidirect
8. #24910355C2semidirect
9. #24910231C2semidirect
11. #24910139C2semidirect
12. #24910109C2semidirect
13. #24910085C2semidirect
14. #24910030C2semidirect
15. #24909941C2semidirect
17. Q8×C4⋊C4×C83C2semidirect
18. #19128424C4semidirect
88. #14581792C2×C4semidirect
89. #14581787C2×C4semidirect
91. #14581768C2×C4semidirect
92. C4×Dic166C2×C4semidirect
97. #14581750C2×C4semidirect
147. C4×Q8×C83C2×C4semidirect
345. Q8×C4⋊C4D83semidirect
356. C83#34481semidirect
436. C4×Q8C4×D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191284242
#249106542
#249105342
#249105212
#249104642
#249103752
#249103632
#249103552
#249102312
#249101712
#249101392
#249101092
#249100852
#249100302
#249099412
#249099242
Q8×C4⋊C4×C832
#3448183