Finite Group Databasebeta

← #35566494

Subgroups — #35566494

Order 21248.

3276 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128370C211yesmaximal, characteristic
2C2×#19128183C211yesmaximal, characteristic, complemented
3#24910525C213yesmaximal, complemented
4#24910479C213yesmaximal, complemented
5#24910475C213yesmaximal, complemented
6Q8×Dic83⋊C4C211yesmaximal, characteristic, complemented
7C4⋊C4×C22⋊D83C213yesmaximal, complemented
8#24910304C211yesmaximal, characteristic, complemented
9#24910301C211yesmaximal, characteristic, complemented
10#24910156C213yesmaximal, complemented
11#24910150C213yesmaximal, complemented
12C4×#14581788C213yesmaximal, complemented
13#24909922C213yesmaximal, complemented
14C4×Q8×Dic83C211yesmaximal, characteristic, complemented
15C2×#520×C83C211yesmaximal, characteristic, complemented
16C22×#13050591C2211yescharacteristic
17#19128370C4116yescomplemented
18C2×#14581788C2213yes—
19C2×#14581766C2213yes—
20C2×#14581763C2213yes—
21#19128183—28no—
22C2×Q8×Dic83C2211yescharacteristic
23C2×Q8×Dic83C2211yescharacteristic
24C2×Q8×Dic83C2211yescharacteristic
25C2×C4×D332C2213yes—
26C2×#14581754C2213yes—
27C2×C4×C22⋊D83C2216yes—
28C2×C4×C22⋊D83C2216yes—
29C2×C4×C22⋊D83C2213yes—
30C2×#14581749C2213yes—
31C2×C4⋊C4×D83C2213yes—
32#19127604C2213yes—
33#19127604C2213yes—
34#19127603C2213yes—
35#19127602C2213yes—
36#19127601C2216yes—
37#19127601C2213yes—
38#19127601C2213yes—
39#19127599C2213yes—
40#19127597C2213yes—
41#19127596C2213yes—
42#19127596C2211yescharacteristic
43#19127595C2213yes—
44#19127595C2213yes—
45#19127591C2213yes—
46#19127591C2213yes—
47#19127580C2216yes—
48#19127577C2216yes—
49#19127574C2216yes—
50#19127572C2216yes—
51#19127570C2213yes—
52#19127561C2213yes—
53#19127558C2213yes—
54C4⋊C4×Dic83C2213yes—
55C4⋊C4×Dic83C2213yes—
56C4×Dic83⋊C4C2213yes—
57C4×C4⋊Dic83C2213yes—
58C4×(C2×D83)⋊C4C2213yes—
59C4×C22⋊Dic83C2213yes—
60C42×Dic83C2213yes—
61C22×#41×C83C2211yescharacteristic
62#520×C83—28no—
63C2×C4×Q8×C83C2211yescharacteristic
64C2×C4×Q8×C83C2211yescharacteristic
65C2×C4×D4×C83C2213yes—
66C2×C4×D4×C83C2213yes—
67C2×#117×C83C2213yes—
68C22×C4⋊C4×C83C2213yes—
69C2×#13050591—24no—
70C2×#13050591—24no—
71C2×#13050591C2×C418yescomplemented
72C22×D332C2313yes—
73C22×C22⋊D83C2313yes—
74C22×C22⋊D83C2316yes—
75C22×C4×D83C2313yes—
76C22×C4×D83C2316yes—
77#14581788C2×C4124yescomplemented
78#14581766C2×C4124yescomplemented
79#14581763C2×C4124yescomplemented
80Q8×Dic83—24no—
81Q8×Dic83—24no—
82Q8×Dic83C2×C418yescomplemented
83C4×D332—212no—
84#14581754—212no—
85C4×C22⋊D83—412no—
86C4×C22⋊D83—412no—
87C4×C22⋊D83C2×C4124yescomplemented
88#14581749—212no—
89C2×C4⋊Dic83C2313yes—
90C2×C4⋊Dic83C2313yes—
91C2×C4⋊Dic83C2313yes—
92C2×Dic83⋊C4C2311yescharacteristic
93C2×Dic83⋊C4C2313yes—
94C2×Dic83⋊C4C2313yes—
95C2×Dic83⋊C4C2311yescharacteristic
96C2×Dic83⋊C4C2316yes—
97C2×Dic83⋊C4C2311yescharacteristic
98C4⋊C4×D83—212no—
99C2×C22⋊Dic83C2313yes—
100C2×C22⋊Dic83C2316yes—
101C2×C22⋊Dic83C2313yes—
102C2×C22⋊Dic83C2313yes—
103C2×(C2×D83)⋊C4C2313yes—
104C2×(C2×D83)⋊C4C2313yes—
105C2×(C2×D83)⋊C4C2313yes—
106C2×(C2×D83)⋊C4C2316yes—
107C2×(C2×D83)⋊C4C2313yes—
108C2×(C2×D83)⋊C4C2313yes—
109C2×C4×Dic83C2313yes—
110C2×C4×Dic83C2313yes—
111C2×C4×Dic83C2313yes—
112C2×C4×Dic83C2313yes—
113C2×C4×Dic83C2311yescharacteristic
114C2×C4×Dic83C2313yes—
115C2×C4×Dic83C2313yes—
116C83⋊#95C2316yes—
117C83⋊#95C2313yes—
118C83⋊#95C2313yes—
119C83⋊#95C2313yes—
120C83⋊#95C2313yes—
121C83⋊#95C2311yescharacteristic
122C83⋊#95C2311yescharacteristic
123C2×#41×C83—24no—
124C2×#41×C83—24no—
125C2×#41×C83C2×C418yescomplemented
126C22×Q8×C83C2311yescharacteristic
127C22×D4×C83C2313yes—
128C23×C4×C83C2313yes—
129C23×C4×C83C2316yes—
130C4×Q8×C83—24no—
131C4×Q8×C83D418yescomplemented
132C4×D4×C83—212no—
133C4×D4×C83—212no—
134#117×C83—212no—
135C2×C4⋊C4×C83—212no—
136C2×C4⋊C4×C83C2313yes—
137C2×C4⋊C4×C83C2313yes—
138C2×C4⋊C4×C83C2311yescharacteristic
139C2×C4⋊C4×C83C2313yes—
140C2×C22⋊C4×C83C2313yes—
141C2×C22⋊C4×C83C2313yes—
142C2×C42×C83C2313yes—
143C2×C42×C83C2313yes—
144C23×D83C2413yes—
145#13050591—232no—
146C2×D332—26no—
147C2×D332—26no—
148C2×D332C22×C4112yes—
149C2×C22⋊D83—26no—
150C2×C22⋊D83—26no—
151C2×C22⋊D83—46no—
152C2×C22⋊D83—46no—
153C2×C22⋊D83C22×C4112yes—
154C2×C22⋊D83C22×C4124yes—
155C22×Dic83C2413yes—
156C22×Dic83C2411yescharacteristic
157C22×Dic83C2413yes—
158C22×Dic83C2411yescharacteristic
159C22×Dic83C2413yes—
160C22×Dic83C2411yescharacteristic
161C22×Dic83C2411yescharacteristic
162C2×C4×D83—26no—
163C2×C4×D83—26no—
164C2×C4×D83—212no—
165C2×C4×D83—46no—
166C2×C4×D83—46no—
167C2×C4×D83C22×C4112yes—
168C4⋊Dic83—26no—
169C4⋊Dic83—26no—
170C4⋊Dic83C22×C4112yes—
171Dic83⋊C4—26no—
172Dic83⋊C4—22no—
173Dic83⋊C4—26no—
174Dic83⋊C4—22no—
175Dic83⋊C4—46no—
176Dic83⋊C4C22×C414yes—
177C22⋊Dic83—26no—
178C22⋊Dic83—43no—
179C22⋊Dic83—46no—
180C22⋊Dic83C22×C4112yes—
181(C2×D83)⋊C4—26no—
182(C2×D83)⋊C4—26no—
183(C2×D83)⋊C4—26no—
184(C2×D83)⋊C4—43no—
185(C2×D83)⋊C4—46no—
186(C2×D83)⋊C4C22×C4112yes—
187C4×Dic83—26no—
188C4×Dic83—26no—
189C4×Dic83—26no—
190C4×Dic83—26no—
191C4×Dic83—22no—
192C4×Dic83—43no—
193C4×Dic83C22×C4112yes—
194C24×C83C2413yes—
195#41×C83—232no—
196C2×Q8×C83C22×C414yes—
197C2×Q8×C83C2×D414yes—
198C2×Q8×C83#4114yes—
199C2×D4×C83—26no—
200C2×D4×C83—26no—
201C2×D4×C83C22×C4112yes—
202C22×C4×C83—26no—
203C22×C4×C83—26no—
204C22×C4×C83—212no—
205C22×C4×C83—46no—
206C22×C4×C83—46no—
207C22×C4×C83C22×C4112yes—
208C22×C4×C83C2411yescharacteristic
209C22×C4×C83C2413yes—
210C22×C4×C83C2411yescharacteristic
211C22×C4×C83C2413yes—
212C22×C4×C83C2411yescharacteristic
213C22×C4×C83C2413yes—
214C4⋊C4×C83—26no—
215C4⋊C4×C83—26no—
216C4⋊C4×C83—22no—
217C4⋊C4×C83C2×D4112yes—
218C22⋊C4×C83—26no—
219C22⋊C4×C83—26no—
220C42×C83—26no—
221C42×C83C2×D4112yes—
222C23×C83—23no—
223C23×C83—23no—
224C23×C83—23no—
225C23×C83—23no—
226C23×C83—23no—
227C23×C83—23no—
228C23×C83C23×C416yes—
229C23×C83C2511yescharacteristic
230C22×D83—23no—
231C22×D83—23no—
232C22×D83—23no—
233C22×D83—23no—
234C22×D83—23no—
235C22×D83—23no—
236C22×D83C23×C416yes—
237Q8×C83C4×D4116yescomplemented
238D4×C83—224no—
239C2×C4×C83—21no—
240C2×C4×C83—21no—
241C2×C4×C83—23no—
242C2×C4×C83—23no—
243C2×C4×C83—21no—
244C2×C4×C83—21no—
245C2×C4×C83—224no—
246C2×C4×C83—21no—
247C2×C4×C83—23no—
248C2×C4×C83—23no—
249C2×C4×C83—23no—
250C2×C4×C83—21no—
251C2×C4×C83—21no—
252C2×C4×C83—812no—
253C2×C4×C83C23×C412yes—
254C2×C4×C83C23×C416yes—
255C2×C4×C83C22×D412yes—
256C2×C4×C83C22×D416yes—
257C2×C4×C83C22×D416yes—
258C2×C4×C83C2×#4116yes—
259C22⋊D83—224no—
260C22⋊D83—424no—
261C2×Dic83—21no—
262C2×Dic83—21no—
263C2×Dic83—21no—
264C2×Dic83—23no—
265C2×Dic83—21no—
266C2×Dic83—23no—
267C2×Dic83—21no—
268C2×Dic83—23no—
269C2×Dic83—23no—
270C2×Dic83—23no—
271C2×Dic83—23no—
272C2×Dic83—23no—
273C2×Dic83—21no—
274C2×Dic83—23no—
275C2×Dic83—21no—
276C2×Dic83C23×C416yes—
277C2×Dic83C23×C412yes—
278C2×Dic83C23×C412yes—
279C2×Dic83H(5,𝔽2)12yes—
280C2×Dic83H(5,𝔽2)12yes—
281C2×Dic832−1+412yes—
282D332—224no—
283C4×D83—224no—
284C4×D83—812no—
285C22×C83—26no—
286C22×C83—26no—
287C22×C83—26no—
288C22×C83—43no—
289C22×C83—43no—
290C22×C83—43no—
291C22×C83—43no—
292C22×C83C24×C411yescharacteristic
293C22×C83C23×D411yescharacteristic
294C22×C83C22×#4111yescharacteristic
295C22×C83C2×H(5,𝔽2)11yescharacteristic
296C22×C83C2×H(5,𝔽2)11yescharacteristic
297C22×C83C2×2−1+411yescharacteristic
298C22×C83#58511yescharacteristic
299C2×D83—26no—
300C2×D83—26no—
301C2×D83—26no—
302C2×D83—43no—
303C2×D83—43no—
304C2×D83—43no—
305C2×D83—43no—
306C4×C83—22no—
307C4×C83—22no—
308C4×C83—26no—
309C4×C83—41no—
310C4×C83—43no—
311C4×C83C2×C4×D4112yes—
312Dic83—22no—
313Dic83—26no—
314Dic83—22no—
315Dic83—41no—
316Dic83—43no—
317Dic83—43no—
318Dic83#52014yescomplemented
319#34313—831nomaximal, Sylow
320C2×C83—46no—
321C2×C83C22×C4×D411yescharacteristic
322C2×C83C2×#52011yescharacteristic
323C2×C83C4×H(5,𝔽2)11yescharacteristic
324C2×C83#349711yescharacteristic
325C2×C83#349811yescharacteristic
326C2×C83#351711yescharacteristic
327C2×C83#352211yescharacteristic
328D83—46no—
329C2×#550—831no—
330C2×#520—831no—
331C2×#520D8311yescharacteristic, complemented
332#2366—833no—
333#2361—833no—
334#2361—833no—
335Q8×C4⋊C4—831no—
336D4×C4⋊C4—833no—
337#2341—831no—
338#2341—831no—
339#2324—833no—
340#2324—833no—
341C4×#127—833no—
342#2293—833no—
343C42×Q8—831no—
344C83#3431311yescharacteristic, complemented, Sylow
345C22×#41—831no—
346C22×#41C2×D8311yescharacteristic
347#550—8316no—
348C2×#127—833no—
349C2×#121—833no—
350C2×#121—833no—
351#520—28no—
352#520—1668no—
353C2×C4×Q8—831no—
354C2×C4×Q8—831no—
355C2×C4×Q8—831no—
356C2×C4×Q8C2×D8311yescharacteristic
357C2×C4×Q8C2×D8311yescharacteristic
358C2×C4×D4—836no—
359C2×C4×D4—836no—
360C2×C4×D4—833no—
361C2×C4×D4—833no—
362C2×C4×D4—833no—
363C2×C4×D4C2×D8313yes—
364C2×C4×D4C2×D8313yes—
365C2×#117—833no—
366C2×#117C2×D8313yes—
367C22×C4⋊C4—833no—
368C22×C4⋊C4C2×D8313yes—
369#390—833no—
370#390—833no—
371#390—833no—
372#390—833no—
373#390—836no—
374#390—833no—
375#390—833no—
376#389—833no—
377#389—833no—
378#389—831no—
379#389—833no—
380#388—833no—
381#388—833no—
382#388—833no—
383#388—833no—
384#386—836no—
385#386—836no—
386#385—836no—
387#385—836no—
388#384—833no—
389#380—833no—
390#380—833no—
391C4×C4⋊C4—833no—
392C4×C4⋊C4—833no—
393C4×C4⋊C4—833no—
394C4×C4⋊C4—833no—
395C4×C22⋊C4—833no—
396C4×C22⋊C4—833no—
397C43—833no—
398C2×#41—24no—
399C2×#41—24no—
400C2×#41—838no—
401C2×#41—1664no—
402C2×#41—1664no—
403C2×#41C4×D8318yescomplemented
404C22×Q8C22×D8311yescharacteristic
405C22×D4—836no—
406C22×D4—833no—
407C22×D4—833no—
408C22×D4C22×D8313yes—
409C23×C4—836no—
410C23×C4—833no—
411C23×C4C22×D8313yes—
412C23×C4C22×D8316yes—
413#127—8324no—
414#121—8324no—
415#121—8324no—
416C4×Q8—24no—
417C4×Q8—838no—
418C4×Q8—1664no—
419C4×Q8—1664no—
420C4×Q8C22⋊D8318yescomplemented
421C4×D4—212no—
422C4×D4—212no—
423C4×D4—33212no—
424C4×D4—33212no—
425C4×D4—8324no—
426C4×D4—16612no—
427C4×D4—16612no—
428#117—212no—
429#117—16612no—
430C2×C4⋊C4—212no—
431C2×C4⋊C4—836no—
432C2×C4⋊C4—831no—
433C2×C4⋊C4—833no—
434C2×C4⋊C4—833no—
435C2×C4⋊C4—833no—
436C2×C4⋊C4—831no—
437C2×C4⋊C4—833no—
438C2×C4⋊C4—833no—
439C2×C4⋊C4—831no—
440C2×C4⋊C4—16612no—
441C2×C4⋊C4C22×D8313yes—
442C2×C4⋊C4C22×D8313yes—
443C2×C4⋊C4C22×D8311yescharacteristic
444C2×C4⋊C4C22×D8313yes—
445C2×C22⋊C4—836no—
446C2×C22⋊C4—833no—
447C2×C22⋊C4—836no—
448C2×C22⋊C4—833no—
449C2×C22⋊C4—833no—
450C2×C22⋊C4—833no—
451C2×C22⋊C4—833no—
452C2×C22⋊C4—833no—
453C2×C22⋊C4—833no—
454C2×C22⋊C4—833no—
455C2×C22⋊C4C22×D8313yes—
456C2×C22⋊C4C22×D8313yes—
457C2×C42—833no—
458C2×C42—833no—
459C2×C42—833no—
460C2×C42—833no—
461C2×C42—833no—
462C2×C42—833no—
463C2×C42—831no—
464C2×C42C22×D8313yes—
465C2×C42C22×D8313yes—
466#95—831no—
467#95—831no—
468#95—833no—
469#95—833no—
470#95—836no—
471#95—833no—
472#95—833no—
473C24—833no—
474C24C23×D8313yes—
475#41—232no—
476#41—16632no—
477C2×Q8C2×C4×D8314yes—
478C2×Q8C2×C22⋊D8314yes—
479C2×Q8#1305059014yes—
480C2×D4—26no—
481C2×D4—26no—
482C2×D4—3326no—
483C2×D4—3326no—
484C2×D4—8324no—
485C2×D4—8312no—
486C2×D4—8312no—
487C2×D4—1666no—
488C2×D4—1666no—
489C2×D4—1666no—
490C2×D4—1666no—
491C2×D4C2×C4×D83112yes—
492C22×C4—26no—
493C22×C4—26no—
494C22×C4—212no—
495C22×C4—46no—
496C22×C4—46no—
497C22×C4—3326no—
498C22×C4—3326no—
499C22×C4—831no—
500C22×C4—833no—
501C22×C4—831no—
502C22×C4—831no—
503C22×C4—8312no—
504C22×C4—831no—
505C22×C4—833no—
506C22×C4—833no—
507C22×C4—16612no—
508C22×C4—1666no—
509C22×C4—1666no—
510C22×C4C2×C4×D83112yes—
511C22×C4C23×D8311yescharacteristic
512C22×C4C23×D8313yes—
513C22×C4C23×D8311yescharacteristic
514C22×C4C23×D8313yes—
515C22×C4C23×D8311yescharacteristic
516C22×C4C23×D8313yes—
517C4⋊C4—26no—
518C4⋊C4—26no—
519C4⋊C4—22no—
520C4⋊C4—3326no—
521C4⋊C4—834no—
522C4⋊C4—8312no—
523C4⋊C4—1666no—
524C4⋊C4—1662no—
525C4⋊C4—1666no—
526C4⋊C4—1666no—
527C4⋊C4—1662no—
528C4⋊C4—1666no—
529C4⋊C4C2×C22⋊D83112yes—
530C22⋊C4—26no—
531C22⋊C4—26no—
532C22⋊C4—3326no—
533C22⋊C4—3323no—
534C22⋊C4—3326no—
535C22⋊C4—3323no—
536C22⋊C4—8312no—
537C22⋊C4—8312no—
538C22⋊C4—1666no—
539C22⋊C4—1666no—
540C22⋊C4—1666no—
541C22⋊C4—1666no—
542C42—26no—
543C42—3323no—
544C42—8312no—
545C42—1666no—
546C42—1666no—
547C42—1662no—
548C42—1666no—
549C42—1666no—
550C42C2×C22⋊D83112yes—
551C23—23no—
552C23—23no—
553C23—23no—
554C23—23no—
555C23—23no—
556C23—23no—
557C23—836no—
558C23—1663no—
559C23—1663no—
560C23—1663no—
561C23—1663no—
562C23—1663no—
563C23—1663no—
564C23C22×C4×D8316yes—
565C23C24×D8311yescharacteristic
566Q8C4×C22⋊D83116yescomplemented
567D4—224no—
568D4—33224no—
569D4—16624no—
570D4—16624no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—23no—
574C2×C4—23no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—224no—
578C2×C4—21no—
579C2×C4—23no—
580C2×C4—23no—
581C2×C4—23no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—812no—
585C2×C4—832no—
586C2×C4—832no—
587C2×C4—832no—
588C2×C4—836no—
589C2×C4—832no—
590C2×C4—832no—
591C2×C4—66412no—
592C2×C4—1661no—
593C2×C4—1663no—
594C2×C4—1663no—
595C2×C4—1663no—
596C2×C4—1663no—
597C2×C4—1663no—
598C2×C4—1661no—
599C2×C4—1663no—
600C2×C4—1661no—
601C2×C4—1661no—
602C2×C4—1661no—
603C2×C4—1661no—
604C2×C4—1663no—
605C2×C4—1661no—
606C2×C4—1663no—
607C2×C4—16624no—
608C2×C4C22×C4×D8312yes—
609C2×C4C22×C4×D8316yes—
610C2×C4C22×C22⋊D8312yes—
611C2×C4C22×C22⋊D8316yes—
612C2×C4C22×C22⋊D8316yes—
613C2×C4C2×#1305059016yes—
614C22—26no—
615C22—26no—
616C22—26no—
617C22—43no—
618C22—43no—
619C22—43no—
620C22—43no—
621C22—3323no—
622C22—3323no—
623C22—3323no—
624C22—3323no—
625C22—1666no—
626C22—1666no—
627C22—1666no—
628C22C23×C4×D8311yescharacteristic
629C22C23×C22⋊D8311yescharacteristic
630C22C22×#1305059011yescharacteristic
631C22H(5,𝔽2)×D8311yescharacteristic
632C22H(5,𝔽2)×D8311yescharacteristic
633C222−1+4×D8311yescharacteristic
634C22#1912853811yescharacteristic
635C4—22no—
636C4—22no—
637C4—26no—
638C4—41no—
639C4—43no—
640C4—3323no—
641C4—3321no—
642C4—3323no—
643C4—834no—
644C4—1662no—
645C4—1666no—
646C4—1662no—
647C4C2×C4×C22⋊D83112yes—
648C2—46no—
649C2—3326no—
650C2C22×C4×C22⋊D8311yescharacteristic
651C2#520×D8311yescharacteristic
652C2#2492066911yescharacteristic
653C2#2492123011yescharacteristic
654C2#2492123711yescharacteristic
655C2#2492146311yescharacteristic
656C2#2492154211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC2×#520×C83C2
socle, cosocleC23×C83C25
prime radicalC2×#19128370C2
hypercenterC2×#520D83
hypocenterC83#34313
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#520

Complements

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

NH ≅ G/Ntype
2. C2×#19128183C2semidirect
3. #24910525C2semidirect
4. #24910479C2semidirect
5. #24910475C2semidirect
6. Q8×Dic83⋊C4C2semidirect
7. C4⋊C4×C22⋊D83C2semidirect
8. #24910304C2semidirect
9. #24910301C2semidirect
10. #24910156C2semidirect
11. #24910150C2semidirect
12. C4×#14581788C2semidirect
13. #24909922C2semidirect
14. C4×Q8×Dic83C2semidirect
15. C2×#520×C83C2semidirect
17. #19128370C4semidirect
71. C2×#13050591C2×C4semidirect
77. #14581788C2×C4semidirect
78. #14581766C2×C4semidirect
79. #14581763C2×C4semidirect
82. Q8×Dic83C2×C4semidirect
87. C4×C22⋊D83C2×C4semidirect
125. C2×#41×C83C2×C4semidirect
131. C4×Q8×C83D4semidirect
237. Q8×C83C4×D4semidirect
318. Dic83#520semidirect
331. C2×#520D83semidirect
344. C83#34313semidirect
403. C2×#41C4×D83semidirect
420. C4×Q8C22⋊D83semidirect
566. Q8C4×C22⋊D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191283702
C2×#191281832
#249105252
#249104792
#249104752
Q8×Dic83⋊C42
C4⋊C4×C22⋊D832
#249103042
#249103012
#249101562
#249101502
C4×#145817882
#249099222
C4×Q8×Dic832
C2×#520×C832
#3431383