Finite Group Databasebeta

← #35565292

Subgroups — #35565292

Order 21248.

2618 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14581770C211yesmaximal, characteristic
2#24910547C214yesmaximal, complemented
3#24910491C214yesmaximal, complemented
4#24910333C212yesmaximal, complemented
5#24910315C212yesmaximal
6#24910313C212yesmaximal
7C22⋊C4×Dic166C212yesmaximal, complemented
8#24910214C214yesmaximal, complemented
9#24910066C211yesmaximal, characteristic, complemented
10#24910063C211yesmaximal, characteristic, complemented
11C4×#14581770C214yesmaximal, complemented
12#24909844C211yesmaximal, characteristic
13#24909818C211yesmaximal, characteristic, complemented
14C4×C22⋊C4×D83C211yesmaximal, characteristic
15C83×#2274C211yesmaximal, characteristic, complemented
16C23×Dic166C2211yescharacteristic
17C23×C4×D83C2211yescharacteristic
18C2×#14581770C4116yescomplemented
19C2×#14581770C2212yes—
20C2×#14581770C2212yes—
21C2×#14581770C2212yes—
22C2×#14581770C2212yes—
23C2×C4×Dic166C2214yescomplemented
24C2×#14581749C2212yes—
25C2×#14581748C2212yes—
26C22×Dic83⋊C4C2211yescharacteristic
27C22×Dic83⋊C4C2211yescharacteristic
28C22×(C2×D83)⋊C4C2211yescharacteristic
29C22×(C2×D83)⋊C4C2211yescharacteristic
30C2×C22⋊C4×D83C2212yes—
31C2×C42×D83C2212yes—
32#19127607C2214yescomplemented
33#19127605C2214yescomplemented
34#19127605C2214yescomplemented
35#19127596C2214yescomplemented
36#19127593C2214yes—
37#19127592C2214yes—
38#19127592C2214yes—
39#19127591C2214yes—
40#19127587C2214yescomplemented
41#19127587C2214yescomplemented
42#19127585C2214yescomplemented
43#19127585C2214yescomplemented
44#19127583C2214yescomplemented
45#19127582C2214yescomplemented
46#19127575C2214yes—
47#19127572C2214yes—
48#19127564C2212yes—
49#19127563C2212yes—
50#19127562C2212yes—
51#19127561C2212yes—
52#19127560C2212yes—
53#19127559C2212yes—
54#19127559C2212yes—
55#19127556C2212yes—
56C4×Dic83⋊C4C2214yescomplemented
57C4×Dic83⋊C4C2214yescomplemented
58#19127552C2214yescomplemented
59C22⋊C4×Dic83C2212yes—
60C22⋊C4×Dic83C2212yes—
61C4×(C2×D83)⋊C4C2212yes—
62C4×(C2×D83)⋊C4C2212yes—
63C4×(C2×D83)⋊C4C2214yes—
64C4×(C2×D83)⋊C4C2214yes—
65C4×C22⋊Dic83C2211yescharacteristic
66C4×C22⋊Dic83C2211yescharacteristic
67#19127548C2212yes—
68#95×D83C2212yes—
69C2×#117×C83C2212yes—
70C22×C4⋊C4×C83C2211yescharacteristic
71C4×C4⋊C4×C83C2214yescomplemented
72C4×C4⋊C4×C83C2214yescomplemented
73C4×C22⋊C4×C83C2211yescharacteristic
74C4×C22⋊C4×C83C2212yes—
75C4×C22⋊C4×C83C2211yescharacteristic
76C24×D83C2311yescharacteristic
77C22×Dic166—44no—
78C22×Dic166C2×C418yescomplemented
79C22×Dic166C2312yes—
80C22×Dic166C2312yes—
81C23×Dic83C2311yescharacteristic
82C23×Dic83C2311yescharacteristic
83C23×Dic83C2311yescharacteristic
84C22×C4×D83—44no—
85C22×C4×D83C2×C418yes—
86C22×C4×D83C2314yes—
87C22×C4×D83C2311yescharacteristic
88C22×C4×D83C2311yescharacteristic
89C22×C4×D83C2311yescharacteristic
90C22×C4×D83C2311yescharacteristic
91#14581770C2×C4116yes—
92#14581770C2×C4116yes—
93#14581770C2×C4116yescomplemented
94#14581770C2×C4116yescomplemented
95C4×Dic166—48no—
96#14581749—44no—
97#14581748—28no—
98C2×C4⋊Dic83C2314yes—
99C2×Dic83⋊C4C2×C418yescomplemented
100C2×Dic83⋊C4C2×C418yescomplemented
101C2×Dic83⋊C4C2314yes—
102C2×Dic83⋊C4C2314yes—
103C2×Dic83⋊C4C2314yes—
104C2×Dic83⋊C4C2312yes—
105C2×Dic83⋊C4C2312yes—
106C2×Dic83⋊C4C2312yes—
107C2×Dic83⋊C4C2312yes—
108C2×C22⋊Dic83C2312yes—
109C2×C22⋊Dic83C2312yes—
110C2×(C2×D83)⋊C4C2×C418yes—
111C2×(C2×D83)⋊C4C2×C418yes—
112C2×(C2×D83)⋊C4C2314yes—
113C2×(C2×D83)⋊C4C2314yes—
114C2×(C2×D83)⋊C4C2314yes—
115C2×(C2×D83)⋊C4C2312yes—
116C2×(C2×D83)⋊C4C2312yes—
117C2×(C2×D83)⋊C4C2312yes—
118C2×(C2×D83)⋊C4C2312yes—
119C22⋊C4×D83—28no—
120C2×C4×Dic83C2314yes—
121C2×C4×Dic83C2314yes—
122C2×C4×Dic83C2312yes—
123C2×C4×Dic83C2314yes—
124C2×C4×Dic83C2312yes—
125C42×D83—44no—
126C83⋊#95C2314yes—
127C83⋊#95C2312yes—
128C83⋊#95C2314yes—
129C83⋊#95C2314yes—
130C83⋊#95C2314yes—
131C83⋊#95C2314yes—
132C83⋊#95C2314yes—
133C83⋊#95C2314yes—
134C83⋊#95C2314yes—
135C83⋊#95C2314yes—
136C83⋊#95C2312yes—
137C23×C4×C83C2311yescharacteristic
138C23×C4×C83C2311yescharacteristic
139C23×C4×C83C2311yescharacteristic
140#117×C83—28no—
141C2×C4⋊C4×C83C2×C418yescomplemented
142C2×C4⋊C4×C83C2314yes—
143C2×C4⋊C4×C83C2312yes—
144C2×C4⋊C4×C83C2312yes—
145C2×C22⋊C4×C83C2312yes—
146C2×C22⋊C4×C83C2312yes—
147C2×C42×C83C2314yes—
148C2×C42×C83C2312yes—
149C2×C42×C83C2312yes—
150C2×C42×C83C2314yes—
151#95×C83C2312yes—
152#95×C83C2312yes—
153#95×C83C2314yes—
154C23×D83—24no—
155C23×D83—24no—
156C23×D83—42no—
157C23×D83C22×C414yes—
158C23×D83C2411yescharacteristic
159C23×D83C2411yescharacteristic
160C2×Dic166—28no—
161C2×Dic166—416no—
162C2×Dic166—44no—
163C2×Dic166C22×C418yes—
164C2×Dic166C22×C418yes—
165C22×Dic83—24no—
166C22×Dic83—24no—
167C22×Dic83—42no—
168C22×Dic83C22×C414yes—
169C22×Dic83C22×C414yes—
170C22×Dic83C22×C414yes—
171C22×Dic83C2414yes—
172C22×Dic83C2414yes—
173C22×Dic83C2411yescharacteristic
174C22×Dic83C2412yes—
175C22×Dic83C2412yes—
176C22×Dic83C2411yescharacteristic
177C2×C4×D83—24no—
178C2×C4×D83—24no—
179C2×C4×D83—28no—
180C2×C4×D83—28no—
181C2×C4×D83—416no—
182C2×C4×D83—42no—
183C2×C4×D83—42no—
184C2×C4×D83—44no—
185C2×C4×D83C22×C414yes—
186C2×C4×D83C22×C414yes—
187C2×C4×D83C22×C414yes—
188C2×C4×D83C22×C414yes—
189C4⋊Dic83—44no—
190Dic83⋊C4—28no—
191Dic83⋊C4—28no—
192Dic83⋊C4—44no—
193Dic83⋊C4C22×C418yes—
194Dic83⋊C4C22×C418yes—
195Dic83⋊C4C22×C418yes—
196Dic83⋊C4C22×C418yes—
197C22⋊Dic83—24no—
198C22⋊Dic83—24no—
199(C2×D83)⋊C4—28no—
200(C2×D83)⋊C4—28no—
201(C2×D83)⋊C4—44no—
202(C2×D83)⋊C4C22×C418yes—
203(C2×D83)⋊C4C22×C418yes—
204(C2×D83)⋊C4C22×C418yes—
205(C2×D83)⋊C4C22×C418yes—
206C4×Dic83—28no—
207C4×Dic83—28no—
208C4×Dic83—42no—
209C4×Dic83—42no—
210C4×Dic83—44no—
211C24×C83C2411yescharacteristic
212C22×C4×C83—24no—
213C22×C4×C83—42no—
214C22×C4×C83—42no—
215C22×C4×C83C22×C414yes—
216C22×C4×C83C22×C414yes—
217C22×C4×C83C22×C414yes—
218C22×C4×C83C2414yes—
219C22×C4×C83C2411yescharacteristic
220C22×C4×C83C2411yescharacteristic
221C22×C4×C83C2412yes—
222C22×C4×C83C2412yes—
223C22×C4×C83C2414yes—
224C4⋊C4×C83—28no—
225C4⋊C4×C83C22×C418yes—
226C4⋊C4×C83C22×C418yes—
227C22⋊C4×C83—24no—
228C22⋊C4×C83#4118yes—
229C42×C83—28no—
230C42×C83—42no—
231C42×C83—42no—
232C42×C83—44no—
233C23×C83—22no—
234C23×C83—22no—
235C23×C83C23×C412yes—
236C23×C83C2×#4114yes—
237C23×C83C2511yescharacteristic
238C22×D83—22no—
239C22×D83—22no—
240C22×D83—28no—
241C22×D83—22no—
242C22×D83—22no—
243C22×D83—22no—
244C22×D83—28no—
245C22×D83—44no—
246C22×D83—416no—
247C22×D83C23×C412yes—
248C22×D83C23×C412yes—
249C22×D832−1+414yes—
250C2×C4×C83—28no—
251C2×C4×C83—22no—
252C2×C4×C83—22no—
253C2×C4×C83—24no—
254C2×C4×C83—22no—
255C2×C4×C83—22no—
256C2×C4×C83—24no—
257C2×C4×C83—24no—
258C2×C4×C83—24no—
259C2×C4×C83—24no—
260C2×C4×C83—24no—
261C2×C4×C83—44no—
262C2×C4×C83—44no—
263C2×C4×C83C23×C414yes—
264C2×C4×C83C23×C414yes—
265C2×C4×C83C23×C412yes—
266C2×C4×C83C23×C412yes—
267C2×C4×C83C2×#4118yes—
268C2×Dic83—28no—
269C2×Dic83—22no—
270C2×Dic83—22no—
271C2×Dic83—24no—
272C2×Dic83—22no—
273C2×Dic83—28no—
274C2×Dic83—24no—
275C2×Dic83—24no—
276C2×Dic83—24no—
277C2×Dic83—24no—
278C2×Dic83—24no—
279C2×Dic83—24no—
280C2×Dic83—44no—
281C2×Dic83C23×C414yes—
282C2×Dic83C23×C414yes—
283C2×Dic83C23×C412yes—
284C2×Dic83C23×C412yes—
285C2×Dic83H(5,𝔽2)14yes—
286C4×D83—28no—
287C4×D83—28no—
288C4×D83—44no—
289C4×D83—44no—
290C4×D83—416no—
291Dic166—216no—
292Dic166—48no—
293C22×C83—22no—
294C22×C83—22no—
295C22×C83—28no—
296C22×C83C4×#4114yes—
297C22×C83C24×C411yescharacteristic
298C22×C83C22×#4112yes—
299C22×C83C2×H(5,𝔽2)12yes—
300C22×C83C2×2−1+412yes—
301C2×D83—22no—
302C2×D83—22no—
303C2×D83—28no—
304C2×D83—22no—
305C2×D83—22no—
306C2×D83—22no—
307C2×D83—416no—
308C2×D83—44no—
309C2×D83#51914yes—
310C4×C83—24no—
311C4×C83—24no—
312C4×C83—22no—
313C4×C83—22no—
314C4×C83—28no—
315C4×C83—44no—
316Dic83—24no—
317Dic83—24no—
318Dic83—22no—
319Dic83—44no—
320Dic83—44no—
321Dic83#51814yes—
322#34245—831nomaximal, Sylow
323C2×C83—24no—
324C2×C83C2×C4×#4111yescharacteristic
325C2×C83C2×#51811yescharacteristic
326C2×C83C2×#51911yescharacteristic
327C2×C83#352014yes—
328D83—24no—
329D83—42no—
330C22×C22⋊Q8—831no—
331#2368—834no—
332#2362—834no—
333#2344—832no—
334#2342—832no—
335#2342—832no—
336Q8×C22⋊C4—832no—
337#2332—834no—
338#2313—831no—
339#2313—831no—
340C4×C22⋊Q8—834no—
341#2280—831no—
342#2274—831no—
343#2274D8311yescharacteristic, complemented
344C2×C4×C22⋊C4—831no—
345C83#3424511yescharacteristic, complemented, Sylow
346C23×Q8—831no—
347C24×C4—831no—
348C2×C22⋊Q8—8316no—
349C2×C22⋊Q8—832no—
350C2×C22⋊Q8—832no—
351C2×C22⋊Q8—832no—
352C2×C22⋊Q8—832no—
353C2×C4×Q8—834no—
354C2×#117—832no—
355C2×#117—832no—
356C2×#117C2×D8312yes—
357C22×C4⋊C4—831no—
358C22×C4⋊C4—831no—
359C22×C4⋊C4C2×D8311yescharacteristic
360C22×C22⋊C4—831no—
361C22×C22⋊C4—831no—
362C22×C22⋊C4—832no—
363C22×C42—832no—
364#391—834no—
365#391—834no—
366#391—834no—
367#389—834no—
368#388—834no—
369#388—834no—
370#388—834no—
371#388—834no—
372#387—834no—
373#387—834no—
374#387—834no—
375#387—834no—
376#387—834no—
377#387—834no—
378#385—834no—
379#385—834no—
380#381—832no—
381#381—832no—
382#381—832no—
383#380—832no—
384#380—832no—
385#380—832no—
386#380—832no—
387#379—832no—
388C4×C4⋊C4—834no—
389C4×C4⋊C4—834no—
390C4×C4⋊C4—834no—
391C4×C4⋊C4C2×D8314yescomplemented
392C4×C4⋊C4C2×D8314yescomplemented
393C4×C22⋊C4—831no—
394C4×C22⋊C4—831no—
395C4×C22⋊C4—832no—
396C4×C22⋊C4—832no—
397C4×C22⋊C4—832no—
398C4×C22⋊C4—834no—
399C4×C22⋊C4—834no—
400C4×C22⋊C4—832no—
401C4×C22⋊C4—832no—
402C4×C22⋊C4C2×D8311yescharacteristic
403C4×C22⋊C4C2×D8312yes—
404C4×C22⋊C4C2×D8311yescharacteristic
405C2×#95—832no—
406C25—831no—
407C22×Q8—3324no—
408C22×Q8—838no—
409C22×Q8—832no—
410C22×Q8—832no—
411C23×C4—3324no—
412C23×C4—831no—
413C23×C4—838no—
414C23×C4—831no—
415C23×C4—831no—
416C23×C4—834no—
417C23×C4—831no—
418C23×C4—831no—
419C23×C4—831no—
420C23×C4—831no—
421C23×C4C22×D8311yescharacteristic
422C23×C4C22×D8311yescharacteristic
423C23×C4C22×D8311yescharacteristic
424C22⋊Q8—8316no—
425C22⋊Q8—8316no—
426C22⋊Q8—8316no—
427C22⋊Q8—8316no—
428C4×Q8—3328no—
429#117—28no—
430#117—3324no—
431#117—1668no—
432C2×C4⋊C4—834no—
433C2×C4⋊C4—834no—
434C2×C4⋊C4—838no—
435C2×C4⋊C4—838no—
436C2×C4⋊C4—832no—
437C2×C4⋊C4—832no—
438C2×C4⋊C4—832no—
439C2×C4⋊C4—832no—
440C2×C4⋊C4—834no—
441C2×C4⋊C4—834no—
442C2×C4⋊C4C4×D8318yescomplemented
443C2×C4⋊C4C22×D8314yes—
444C2×C4⋊C4C22×D8312yes—
445C2×C4⋊C4C22×D8312yes—
446C2×C22⋊C4—834no—
447C2×C22⋊C4—838no—
448C2×C22⋊C4—838no—
449C2×C22⋊C4—832no—
450C2×C22⋊C4—832no—
451C2×C22⋊C4—832no—
452C2×C22⋊C4—832no—
453C2×C22⋊C4—832no—
454C2×C22⋊C4—832no—
455C2×C22⋊C4—834no—
456C2×C22⋊C4—834no—
457C2×C22⋊C4—1668no—
458C2×C22⋊C4C22×D8312yes—
459C2×C22⋊C4C22×D8312yes—
460C2×C42—3324no—
461C2×C42—832no—
462C2×C42—834no—
463C2×C42—832no—
464C2×C42—834no—
465C2×C42—834no—
466C2×C42C22×D8314yes—
467C2×C42C22×D8312yes—
468C2×C42C22×D8314yes—
469C2×C42C22×D8312yes—
470#95—832no—
471#95—834no—
472#95—832no—
473#95—834no—
474#95—834no—
475#95—834no—
476#95—834no—
477#95—834no—
478#95—834no—
479#95—834no—
480#95—834no—
481#95C22×D8312yes—
482#95C22×D8312yes—
483#95C22×D8314yes—
484C24—3322no—
485C24—834no—
486C24—831no—
487C24—831no—
488C24—1664no—
489C24—1664no—
490C24C23×D8311yescharacteristic
491C2×Q8—3324no—
492C2×Q8—33216no—
493C2×Q8—838no—
494C2×Q8—838no—
495C2×Q8—1668no—
496C22×C4—24no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—3324no—
500C22×C4—3322no—
501C22×C4—3322no—
502C22×C4—33216no—
503C22×C4—3322no—
504C22×C4—834no—
505C22×C4—834no—
506C22×C4—834no—
507C22×C4—831no—
508C22×C4—834no—
509C22×C4—834no—
510C22×C4—831no—
511C22×C4—832no—
512C22×C4—832no—
513C22×C4—834no—
514C22×C4—834no—
515C22×C4—834no—
516C22×C4—834no—
517C22×C4—1668no—
518C22×C4—1664no—
519C22×C4—1664no—
520C22×C4—1668no—
521C22×C4—1664no—
522C22×C4—1664no—
523C22×C4C2×C4×D8314yes—
524C22×C4C2×C4×D8314yes—
525C22×C4C2×C4×D8314yes—
526C22×C4C23×D8314yes—
527C22×C4C23×D8312yes—
528C22×C4C23×D8311yescharacteristic
529C22×C4C23×D8311yescharacteristic
530C22×C4C23×D8312yes—
531C22×C4C23×D8314yes—
532C4⋊C4—28no—
533C4⋊C4—3324no—
534C4⋊C4—3324no—
535C4⋊C4—838no—
536C4⋊C4—838no—
537C4⋊C4—838no—
538C4⋊C4—838no—
539C4⋊C4—1668no—
540C4⋊C4—1668no—
541C4⋊C4C2×C4×D8318yes—
542C4⋊C4C2×C4×D8318yes—
543C22⋊C4—24no—
544C22⋊C4—3324no—
545C22⋊C4—838no—
546C22⋊C4—838no—
547C22⋊C4—838no—
548C22⋊C4—838no—
549C22⋊C4—1668no—
550C22⋊C4—1664no—
551C22⋊C4—1664no—
552C22⋊C4—1668no—
553C22⋊C4#1305059018yes—
554C42—28no—
555C42—42no—
556C42—42no—
557C42—44no—
558C42—3322no—
559C42—3322no—
560C42—3324no—
561C42—1668no—
562C42—1668no—
563C23—22no—
564C23—22no—
565C23—33216no—
566C23—3324no—
567C23—832no—
568C23—834no—
569C23—832no—
570C23—1668no—
571C23—1668no—
572C23—1662no—
573C23—1662no—
574C23—1662no—
575C23—1662no—
576C23—1662no—
577C23C22×C4×D8312yes—
578C23C2×#1305059014yes—
579C23C24×D8311yescharacteristic
580Q8—3328no—
581Q8—16616no—
582C2×C4—28no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—44no—
594C2×C4—44no—
595C2×C4—33216no—
596C2×C4—3324no—
597C2×C4—3324no—
598C2×C4—3324no—
599C2×C4—832no—
600C2×C4—834no—
601C2×C4—834no—
602C2×C4—834no—
603C2×C4—832no—
604C2×C4—1668no—
605C2×C4—1668no—
606C2×C4—1664no—
607C2×C4—1664no—
608C2×C4—1664no—
609C2×C4—1664no—
610C2×C4—1664no—
611C2×C4—1664no—
612C2×C4—1668no—
613C2×C4—1668no—
614C2×C4—1662no—
615C2×C4—1662no—
616C2×C4—1664no—
617C2×C4—1662no—
618C2×C4C22×C4×D8314yes—
619C2×C4C22×C4×D8314yes—
620C2×C4C22×C4×D8312yes—
621C2×C4C22×C4×D8312yes—
622C2×C4C2×#1305059018yes—
623C22—22no—
624C22—22no—
625C22—28no—
626C22—33216no—
627C22—3324no—
628C22—834no—
629C22—1662no—
630C22—1662no—
631C22—1662no—
632C22—1662no—
633C22—1662no—
634C22—1668no—
635C22C4×#1305059014yes—
636C22C23×C4×D8311yescharacteristic
637C22C22×#1305059012yes—
638C22H(5,𝔽2)×D8312yes—
639C222−1+4×D8312yes—
640C4—24no—
641C4—22no—
642C4—22no—
643C4—24no—
644C4—28no—
645C4—44no—
646C4—3324no—
647C4—3324no—
648C4—834no—
649C4—1664no—
650C4—1662no—
651C4—1664no—
652C2—24no—
653C2—3322no—
654C2—1664no—
655C2C2×C4×#1305059011yescharacteristic
656C2#518×D8311yescharacteristic
657C2#519×D8311yescharacteristic
658C2#2492150214yes—
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2274C2
socle, cosocleC23×C83C25
prime radicalC24×D83C23
hypercenter#2274D83
hypocenterC83#34245
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2274

Complements

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

NH ≅ G/Ntype
2. #24910547C2semidirect
3. #24910491C2semidirect
4. #24910333C2semidirect
7. C22⋊C4×Dic166C2semidirect
8. #24910214C2semidirect
9. #24910066C2semidirect
10. #24910063C2semidirect
11. C4×#14581770C2semidirect
13. #24909818C2semidirect
15. C83×#2274C2semidirect
18. C2×#14581770C4semidirect
23. C2×C4×Dic166C22semidirect
32. #19127607C22semidirect
33. #19127605C22semidirect
34. #19127605C22semidirect
35. #19127596C22semidirect
40. #19127587C22semidirect
41. #19127587C22semidirect
42. #19127585C22semidirect
43. #19127585C22semidirect
44. #19127583C22semidirect
45. #19127582C22semidirect
56. C4×Dic83⋊C4C22semidirect
57. C4×Dic83⋊C4C22semidirect
58. #19127552C22semidirect
71. C4×C4⋊C4×C83C22semidirect
72. C4×C4⋊C4×C83C22semidirect
78. C22×Dic166C2×C4semidirect
93. #14581770C2×C4semidirect
94. #14581770C2×C4semidirect
99. C2×Dic83⋊C4C2×C4semidirect
100. C2×Dic83⋊C4C2×C4semidirect
141. C2×C4⋊C4×C83C2×C4semidirect
343. #2274D83semidirect
345. C83#34245semidirect
391. C4×C4⋊C4C2×D83semidirect
392. C4×C4⋊C4C2×D83semidirect
442. C2×C4⋊C4C4×D83semidirect

Maximal subgroups

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

subgroupindex
C22×#145817702
#249105472
#249104912
#249103332
#249103152
#249103132
C22⋊C4×Dic1662
#249102142
#249100662
#249100632
C4×#145817702
#249098442
#249098182
C4×C22⋊C4×D832
C83×#22742
#3424583