Finite Group Databasebeta

← #35422754

Subgroups — #35422754

Order 21248.

1010 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19127802C211yesmaximal, characteristic
2C2×SD16×Dic83C211yesmaximal, characteristic
3#24910384C211yesmaximal, characteristic, complemented
4D4×C4⋊Dic83C211yesmaximal, characteristic
5#24908202C211yesmaximal, characteristic, complemented
6#24908197C211yesmaximal, characteristic, complemented
7#24907733C211yesmaximal, characteristic, complemented
8#24907726C211yesmaximal, characteristic
9#24907719C211yesmaximal, characteristic, complemented
10#24907712C211yesmaximal, characteristic
11#24907631C211yesmaximal, characteristic, complemented
12#24907473C211yesmaximal, characteristic
13#24907468C211yesmaximal, characteristic, complemented
14#24907335C211yesmaximal, characteristic, complemented
15C2×#440×C83C211yesmaximal, characteristic
16C2×Q8×Dic83C2211yescharacteristic
17C2×Q8×Dic83C2211yescharacteristic
18C2×D4×Dic83C2211yescharacteristic
19C2×D4×Dic83C2211yescharacteristic
20C22×C4⋊Dic83—21no—
21#19127802—24no—
22SD16×Dic83—24no—
23C2×#14581726C2211yescharacteristic
24C2×#14581726C2211yescharacteristic
25C2×#14581724C2211yescharacteristic
26C2×#14581724C2211yescharacteristic
27C2×C4⋊(C83⋊C8)C2211yescharacteristic
28C2×#14581716C2211yescharacteristic
29C2×#14581716C2211yescharacteristic
30C2×#14581713C2211yescharacteristic
31C2×#14581713C2211yescharacteristic
32C2×#14581702C2211yescharacteristic
33C2×C8×Dic83C2211yescharacteristic
34#19127600—21no—
35#19127600—21no—
36#19127600C2211yescharacteristic
37#19127600C2211yescharacteristic
38#19127600C2211yescharacteristic
39#19127600C2211yescharacteristic
40#19127576—21no—
41#19127576—21no—
42#19127571C2211yescharacteristic
43#19127567—21no—
44#19127567C2211yescharacteristic
45#19127561—21no—
46C4×C4⋊Dic83—21no—
47C4×C4⋊Dic83C2211yescharacteristic
48#19127463C2211yescharacteristic
49#19127463C2211yescharacteristic
50#19127463C2211yescharacteristic
51#19127463C2211yescharacteristic
52#19127455C2211yescharacteristic
53#19127455C2211yescharacteristic
54C22×SD16×C83C2211yescharacteristic
55C2×C4×Q8×C83C2211yescharacteristic
56C2×C4×D4×C83C2211yescharacteristic
57#440×C83C418yescomplemented
58C2×#107×C83C2211yescharacteristic
59C2×#103×C83C2211yescharacteristic
60C2×#102×C83C2211yescharacteristic
61C2×#97×C83C2211yescharacteristic
62C23×Dic83—21no—
63C23×Dic83—21no—
64C22×C83⋊C8C2311yescharacteristic
65C22×C83⋊C8C2311yescharacteristic
66Q8×Dic83—22no—
67Q8×Dic83—22no—
68Q8×Dic83—41no—
69Q8×Dic83—41no—
70D4×Dic83—22no—
71D4×Dic83—22no—
72D4×Dic83—41no—
73D4×Dic83—41no—
74C2×C4⋊Dic83—21no—
75C2×C4⋊Dic83—21no—
76C2×C4⋊Dic83—21no—
77C2×C4⋊Dic83—21no—
78C2×C4⋊Dic83—21no—
79C2×C4⋊Dic83—21no—
80C2×C4⋊Dic83—21no—
81C2×C4⋊Dic83—21no—
82C2×C4⋊Dic83—44no—
83C2×C4⋊Dic83D411yescharacteristic
84C2×C4⋊Dic83D411yescharacteristic
85C2×C4⋊Dic83C2311yescharacteristic
86C2×C4⋊Dic83C2311yescharacteristic
87C2×C4⋊Dic83C2311yescharacteristic
88C2×C4⋊Dic83C2311yescharacteristic
89C2×C22⋊Dic83—21no—
90C2×C22⋊Dic83—21no—
91C2×C4×Dic83—21no—
92C2×C4×Dic83—21no—
93C2×C4×Dic83C2311yescharacteristic
94C2×C4×Dic83C2311yescharacteristic
95#14581726—22no—
96#14581726—41no—
97#14581724—22no—
98#14581724—41no—
99C4⋊(C83⋊C8)—22no—
100#14581716—22no—
101#14581716—22no—
102#14581713—22no—
103#14581713—22no—
104#14581702—22no—
105C8×Dic83—22no—
106C83⋊#95—21no—
107C83⋊#95—21no—
108C83⋊#95—21no—
109C83⋊#95—21no—
110C83⋊#95—21no—
111C83⋊#95—21no—
112C83⋊#95D411yescharacteristic
113C83⋊#95D411yescharacteristic
114C22×Q8×C83C2311yescharacteristic
115C22×D4×C83C2311yescharacteristic
116C23×C4×C83—21no—
117C2×SD16×C83C2×C414yes—
118C2×SD16×C83D414yes—
119C2×SD16×C83Q814yes—
120C22×C8×C83C2311yescharacteristic
121C22×C8×C83C2311yescharacteristic
122C4×Q8×C83—22no—
123C4×Q8×C83C2×C414yescomplemented
124C4×D4×C83—22no—
125C4×D4×C83C2×C414yes—
126C2×C4⋊C4×C83—21no—
127C2×C4⋊C4×C83C2311yescharacteristic
128C2×C4⋊C4×C83C2311yescharacteristic
129C2×C22⋊C4×C83—21no—
130C2×C42×C83—21no—
131C2×C42×C83C2311yescharacteristic
132#107×C83C2×C414yescomplemented
133#103×C83C2×C414yescomplemented
134#102×C83C2×C414yes—
135#97×C83C2×C414yescomplemented
136C22×Dic83—21no—
137C22×Dic83—21no—
138C22×Dic83—21no—
139C22×Dic83—21no—
140C22×Dic83—42no—
141C22×Dic83—42no—
142C22×Dic83—42no—
143C22×Dic83—42no—
144C22×Dic83—81no—
145C22×Dic83—81no—
146C22×Dic83C2×D411yescharacteristic
147C22×Dic83C2×D411yescharacteristic
148C22×Dic83C2×D411yescharacteristic
149C22×Dic83C2×D411yescharacteristic
150C2×C83⋊C8—21no—
151C2×C83⋊C8—21no—
152C2×C83⋊C8—21no—
153C2×C83⋊C8—21no—
154C2×C83⋊C8—21no—
155C2×C83⋊C8—21no—
156C4⋊Dic83—22no—
157C4⋊Dic83—21no—
158C4⋊Dic83—21no—
159C4⋊Dic83—21no—
160C4⋊Dic83—21no—
161C4⋊Dic83—21no—
162C4⋊Dic83—21no—
163C4⋊Dic83—21no—
164C4⋊Dic83—21no—
165C4⋊Dic83—41no—
166C4⋊Dic83—42no—
167C4⋊Dic83—42no—
168C4⋊Dic83—42no—
169C4⋊Dic83—42no—
170C4⋊Dic83—42no—
171C4⋊Dic83—42no—
172C4⋊Dic83—42no—
173C4⋊Dic83—81no—
174C22⋊Dic83—42no—
175C22⋊Dic83—42no—
176C4×Dic83—21no—
177C4×Dic83—21no—
178C4×Dic83—21no—
179C4×Dic83—21no—
180C4×Dic83—42no—
181C4×Dic83—42no—
182C24×C83—21no—
183C2×Q8×C83—21no—
184C2×Q8×C83—21no—
185C2×Q8×C83—21no—
186C2×Q8×C83C22×C412yes—
187C2×Q8×C83C2×D412yes—
188C2×Q8×C83C2×Q812yes—
189C2×D4×C83—21no—
190C2×D4×C83—21no—
191C2×D4×C83—21no—
192C2×D4×C83C22×C412yes—
193C2×D4×C83C2×D412yes—
194C2×D4×C83C2×Q812yes—
195C22×C4×C83—21no—
196C22×C4×C83—21no—
197C22×C4×C83—21no—
198C22×C4×C83—24no—
199C22×C4×C83—42no—
200C22×C4×C83—42no—
201C22×C4×C83C2×D411yescharacteristic
202C22×C4×C83C2×D411yescharacteristic
203C22×C4×C83C2411yescharacteristic
204SD16×C83C4⋊C4116yescomplemented
205C2×C8×C83—21no—
206C2×C8×C83—21no—
207C2×C8×C83C22×C412yes—
208C2×C8×C83C22×C412yes—
209C2×C8×C83C2×D412yes—
210C2×C8×C83C2×Q812yes—
211C4⋊C4×C83—24no—
212C4⋊C4×C83—21no—
213C4⋊C4×C83—21no—
214C4⋊C4×C83C22×C412yes—
215C4⋊C4×C83C22×C412yes—
216C22⋊C4×C83—24no—
217C42×C83—24no—
218C42×C83C22×C412yes—
219C42×C83#4112yes—
220C23×C83—22no—
221C23×C83—22no—
222C23×C83—22no—
223C23×C83—41no—
224C23×C83—41no—
225C23×C83—41no—
226C23×C83—41no—
227C23×C83C22×D411yescharacteristic
228Q8×C83—22no—
229Q8×C83—22no—
230Q8×C83—22no—
231Q8×C83C2×C4⋊C414yescomplemented
232D4×C83—22no—
233D4×C83—22no—
234D4×C83—22no—
235D4×C83C2×C4⋊C414yes—
236C2×C4×C83—22no—
237C2×C4×C83—22no—
238C2×C4×C83—22no—
239C2×C4×C83—21no—
240C2×C4×C83—21no—
241C2×C4×C83—21no—
242C2×C4×C83—21no—
243C2×C4×C83—22no—
244C2×C4×C83—22no—
245C2×C4×C83—48no—
246C2×C4×C83—41no—
247C2×C4×C83—41no—
248C2×C4×C83—41no—
249C2×C4×C83—41no—
250C2×C4×C83C4×D412yes—
251C2×C4×C83C4×D412yes—
252C2×C4×C83C23×C411yescharacteristic
253C2×C4×C83C22×D411yescharacteristic
254C2×C4×C83C22×Q811yescharacteristic
255C2×C4×C83C2×#4111yescharacteristic
256C2×C4×C83H(5,𝔽2)11yescharacteristic
257C2×C4×C832−1+411yescharacteristic
258C2×Dic83—21no—
259C2×Dic83—21no—
260C2×Dic83—21no—
261C2×Dic83—21no—
262C2×Dic83—21no—
263C2×Dic83—21no—
264C2×Dic83—21no—
265C2×Dic83—21no—
266C2×Dic83—21no—
267C2×Dic83—21no—
268C2×Dic83—21no—
269C2×Dic83—41no—
270C2×Dic83—41no—
271C2×Dic83—41no—
272C2×Dic83—41no—
273C2×Dic83—41no—
274C2×Dic83—41no—
275C2×Dic83—41no—
276C2×Dic83—41no—
277C2×Dic83—41no—
278C2×Dic83—41no—
279C2×Dic83—41no—
280C2×Dic83—41no—
281C2×Dic83—84no—
282C2×Dic83—84no—
283C2×Dic83AGL(1,ℤ/8)12yes—
284C8×C83—22no—
285C8×C83C2×C4⋊C414yescomplemented
286C83⋊C8—41no—
287C83⋊C8—41no—
288C22×C83—24no—
289C22×C83—42no—
290C22×C83—42no—
291C22×C83—42no—
292C22×C83—42no—
293C22×C83—42no—
294C22×C83—42no—
295C22×C83C2×C4×D411yescharacteristic
296C22×C83D4211yescharacteristic
297C22×C83D4×Q811yescharacteristic
298C22×C83C2×AGL(1,ℤ/8)11yescharacteristic
299C22×C83#57511yescharacteristic
300C22×C83#57711yescharacteristic
301C22×C83#57811yescharacteristic
302C4×C83—24no—
303C4×C83—22no—
304C4×C83—22no—
305C4×C83—42no—
306C4×C83—42no—
307C4×C83C22×C4⋊C411yescharacteristic
308C4×C83#52011yescharacteristic
309C4×C83#54711yescharacteristic
310C4×C83#55411yescharacteristic
311Dic83—22no—
312Dic83—41no—
313Dic83—41no—
314Dic83—41no—
315Dic83—81no—
316Dic83—81no—
317Dic83—81no—
318Dic83—81no—
319#22677—831nomaximal, Sylow
320C2×C83—44no—
321C2×C83D4×C4⋊C411yescharacteristic
322C2×C83C4×AGL(1,ℤ/8)11yescharacteristic
323C2×C83#294711yescharacteristic
324C2×C83#326511yescharacteristic
325C2×C83#326911yescharacteristic
326C2×C83#338611yescharacteristic
327C2×C83#338811yescharacteristic
328C2×#440—831no—
329C2×#440D8311yescharacteristic
330C2×C4×SD16—831no—
331#2351—831no—
332D4×C4⋊C4—831no—
333#1943—831no—
334#1942—831no—
335#1865—831no—
336#1864—831no—
337#1863—831no—
338#1862—831no—
339#1847—831no—
340#1804—831no—
341#1803—831no—
342#1771—831no—
343C83#2267711yescharacteristic, complemented, Sylow
344C22×SD16C2×D8311yescharacteristic
345C2×C4×Q8—831no—
346C2×C4×Q8—831no—
347C2×C4×Q8C2×D8311yescharacteristic
348C2×C4×D4—831no—
349C2×C4×D4—831no—
350C2×C4×D4C2×D8311yescharacteristic
351C22×C4⋊C4—1661no—
352#440—1664no—
353#440Dic8318yescomplemented
354C4×SD16—1664no—
355C2×#107—831no—
356C2×#107—831no—
357C2×#107C2×D8311yescharacteristic
358C2×#106—831no—
359C2×#106—831no—
360C2×C4⋊C8—831no—
361C2×#103—831no—
362C2×#103—831no—
363C2×#103C2×D8311yescharacteristic
364C2×#102—831no—
365C2×#102—831no—
366C2×#102C2×D8311yescharacteristic
367C2×#97—831no—
368C2×#97C2×D8311yescharacteristic
369C2×C4×C8—831no—
370#389—831no—
371#389—831no—
372#389—831no—
373#389—831no—
374#389—1661no—
375#389—1661no—
376#385—1661no—
377#385—1661no—
378#384—831no—
379#382—831no—
380#382—1661no—
381#380—1661no—
382C4×C4⋊C4—831no—
383C4×C4⋊C4—1661no—
384#340—831no—
385#340—831no—
386#340—831no—
387#340—831no—
388#336—831no—
389#336—831no—
390C22×Q8C22×D8311yescharacteristic
391C22×D4C22×D8311yescharacteristic
392C23×C4—21no—
393C23×C4—1661no—
394C23×C4—1661no—
395C2×SD16Dic16614yes—
396C2×SD16D33214yes—
397C2×SD16C2×Dic8314yes—
398C22×C8—831no—
399C22×C8—831no—
400C22×C8C22×D8311yescharacteristic
401C22×C8C22×D8311yescharacteristic
402C4×Q8—22no—
403C4×Q8—3321no—
404C4×Q8—3321no—
405C4×Q8—1662no—
406C4×Q8—1662no—
407C4×Q8C2×Dic8314yescomplemented
408C4×D4—22no—
409C4×D4—3321no—
410C4×D4—3321no—
411C4×D4—1662no—
412C4×D4—1662no—
413C4×D4C2×Dic8314yes—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—3324no—
416C2×C4⋊C4—831no—
417C2×C4⋊C4—831no—
418C2×C4⋊C4—831no—
419C2×C4⋊C4—831no—
420C2×C4⋊C4—831no—
421C2×C4⋊C4—831no—
422C2×C4⋊C4—1661no—
423C2×C4⋊C4—1661no—
424C2×C4⋊C4—1661no—
425C2×C4⋊C4—1661no—
426C2×C4⋊C4—1661no—
427C2×C4⋊C4—1661no—
428C2×C4⋊C4—1661no—
429C2×C4⋊C4—1661no—
430C2×C4⋊C4C22×D8311yescharacteristic
431C2×C4⋊C4C22×D8311yescharacteristic
432C2×C22⋊C4—21no—
433C2×C22⋊C4—1661no—
434C2×C22⋊C4—1661no—
435C2×C42—21no—
436C2×C42—831no—
437C2×C42—831no—
438C2×C42—1661no—
439C2×C42—1661no—
440C2×C42C22×D8311yescharacteristic
441#107—3321no—
442#107—1662no—
443#107C2×Dic8314yescomplemented
444#106—3321no—
445#106—1662no—
446C4⋊C8—1662no—
447#103—1662no—
448#103—1662no—
449#103C2×Dic8314yescomplemented
450#102—1662no—
451#102—1662no—
452#102C2×Dic8314yes—
453#97—1662no—
454#97C2×Dic8314yescomplemented
455C4×C8—1662no—
456#95—831no—
457#95—831no—
458#95—1661no—
459#95—1661no—
460#95—1661no—
461#95—1661no—
462#95—1661no—
463#95—1661no—
464C24—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8C22×Dic8312yes—
469C2×Q8C2×D33212yes—
470C2×Q8C2×Dic16612yes—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4C22×Dic8312yes—
475C2×D4C2×D33212yes—
476C2×D4C2×Dic16612yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—24no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—3322no—
484C22×C4—3322no—
485C22×C4—3322no—
486C22×C4—3322no—
487C22×C4—831no—
488C22×C4—831no—
489C22×C4—831no—
490C22×C4—831no—
491C22×C4—6641no—
492C22×C4—6641no—
493C22×C4—1661no—
494C22×C4—1661no—
495C22×C4—1661no—
496C22×C4—1661no—
497C22×C4D4×D8311yescharacteristic
498C22×C4D4×D8311yescharacteristic
499C22×C4C23×D8311yescharacteristic
500SD16C4⋊Dic83116yescomplemented
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—1661no—
504C2×C8—1661no—
505C2×C8—1661no—
506C2×C8—1661no—
507C2×C8—1661no—
508C2×C8—1661no—
509C2×C8C22×Dic8312yes—
510C2×C8C22×Dic8312yes—
511C2×C8C2×D33212yes—
512C2×C8C2×Dic16612yes—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—24no—
516C4⋊C4—3322no—
517C4⋊C4—3322no—
518C4⋊C4—3322no—
519C4⋊C4—3321no—
520C4⋊C4—3322no—
521C4⋊C4—3322no—
522C4⋊C4—3322no—
523C4⋊C4—3322no—
524C4⋊C4—6641no—
525C4⋊C4—1662no—
526C4⋊C4—1661no—
527C4⋊C4—1661no—
528C4⋊C4—1661no—
529C4⋊C4—1661no—
530C4⋊C4—1661no—
531C4⋊C4—1661no—
532C4⋊C4—1661no—
533C4⋊C4—1661no—
534C4⋊C4C22×Dic8312yes—
535C4⋊C4C22×Dic8312yes—
536C22⋊C4—24no—
537C22⋊C4—3322no—
538C22⋊C4—3322no—
539C42—24no—
540C42—3322no—
541C42—3322no—
542C42—1661no—
543C42—1661no—
544C42—1661no—
545C42—1661no—
546C42C22×Dic8312yes—
547C42#1305058912yes—
548C23—22no—
549C23—22no—
550C23—22no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23C2×D4×D8311yescharacteristic
556Q8—22no—
557Q8—22no—
558Q8—22no—
559Q8C2×C4⋊Dic8314yescomplemented
560D4—22no—
561D4—22no—
562D4—22no—
563D4C2×C4⋊Dic8314yes—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—48no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—3321no—
579C2×C4—3321no—
580C2×C4—3321no—
581C2×C4—3321no—
582C2×C4—3321no—
583C2×C4—3321no—
584C2×C4—3321no—
585C2×C4—3321no—
586C2×C4—3321no—
587C2×C4—3321no—
588C2×C4—3321no—
589C2×C4—3321no—
590C2×C4—832no—
591C2×C4—6644no—
592C2×C4—6644no—
593C2×C4—1661no—
594C2×C4—1661no—
595C2×C4—1661no—
596C2×C4—1661no—
597C2×C4—1661no—
598C2×C4—1661no—
599C2×C4—1661no—
600C2×C4—1661no—
601C2×C4—1661no—
602C2×C4—1661no—
603C2×C4—1661no—
604C2×C4D4×Dic8312yes—
605C2×C4D4×Dic8312yes—
606C2×C4C23×Dic8311yescharacteristic
607C2×C4C22×D33211yescharacteristic
608C2×C4C22×Dic16611yescharacteristic
609C2×C4C2×#1305058911yescharacteristic
610C2×C4#1458183811yescharacteristic
611C2×C4#1458183911yescharacteristic
612C8—22no—
613C8—3321no—
614C8—3321no—
615C8C2×C4⋊Dic8314yescomplemented
616C22—24no—
617C22—42no—
618C22—42no—
619C22—42no—
620C22—42no—
621C22—42no—
622C22—42no—
623C22C2×D4×Dic8311yescharacteristic
624C22D4×D33211yescharacteristic
625C22D4×Dic16611yescharacteristic
626C22AGL(1,ℤ/8)×D8311yescharacteristic
627C22#1912849711yescharacteristic
628C22#1912851011yescharacteristic
629C22#1912851711yescharacteristic
630C4—24no—
631C4—22no—
632C4—22no—
633C4—42no—
634C4—42no—
635C4—3321no—
636C4—3321no—
637C4—3321no—
638C4—6641no—
639C4—6641no—
640C4—6641no—
641C4—6641no—
642C4—1662no—
643C4C22×C4⋊Dic8311yescharacteristic
644C4#1912818411yescharacteristic
645C4#1912835511yescharacteristic
646C4#1912840811yescharacteristic
647C2—44no—
648C2D4×C4⋊Dic8311yescharacteristic
649C2AGL(1,ℤ/8)×Dic8311yescharacteristic
650C2#2491630711yescharacteristic
651C2#2491896011yescharacteristic
652C2#2491902011yescharacteristic
653C2#2492038511yescharacteristic
654C2#2492041311yescharacteristic
subgroupG/H
centerC23C2×D4×D83
commutatorC2×C4×C83C23×C4
FrattiniC22×C4C23×D83
FittingC2×#440×C83C2
socleC23×C83C22×D4
prime radicalC22×D4×C83C23
cosocleC22×C4×C83C24
hypercenterC2×#440D83
hypocenterC83#22677
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
3. #24910384C2semidirect
5. #24908202C2semidirect
6. #24908197C2semidirect
7. #24907733C2semidirect
9. #24907719C2semidirect
11. #24907631C2semidirect
13. #24907468C2semidirect
14. #24907335C2semidirect
57. #440×C83C4semidirect
123. C4×Q8×C83C2×C4semidirect
132. #107×C83C2×C4semidirect
133. #103×C83C2×C4semidirect
135. #97×C83C2×C4semidirect
204. SD16×C83C4⋊C4semidirect
231. Q8×C83C2×C4⋊C4semidirect
285. C8×C83C2×C4⋊C4semidirect
343. C83#22677semidirect
353. #440Dic83semidirect
407. C4×Q8C2×Dic83semidirect
443. #107C2×Dic83semidirect
449. #103C2×Dic83semidirect
454. #97C2×Dic83semidirect
500. SD16C4⋊Dic83semidirect
559. Q8C2×C4⋊Dic83semidirect
615. C8C2×C4⋊Dic83semidirect

Maximal subgroups

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

subgroupindex
C2×#191278022
C2×SD16×Dic832
#249103842
D4×C4⋊Dic832
#249082022
#249081972
#249077332
#249077262
#249077192
#249077122
#249076312
#249074732
#249074682
#249073352
C2×#440×C832
#2267783