Finite Group Databasebeta

← #35567377

Subgroups — #35567377

Order 21248.

2506 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14581770C211yesmaximal, characteristic
2#24910625C214yesmaximal, complemented
3#24910465C214yesmaximal, complemented
4#24910333C212yesmaximal, complemented
5#24910313C212yesmaximal
6#24910309C212yesmaximal
7#24910295C212yesmaximal, complemented
8#24910197C214yesmaximal, complemented
9#24910140C214yesmaximal, complemented
10#24910080C211yesmaximal, characteristic, complemented
11#24910066C211yesmaximal, characteristic, complemented
12#24910065C211yesmaximal, characteristic, complemented
13#24909845C211yesmaximal, characteristic
14#380×D83C211yesmaximal, characteristic
15C83×#2316C211yesmaximal, characteristic, complemented
16C23×Dic166C2211yescharacteristic
17C23×C4×D83C2211yescharacteristic
18C2×#14581770C4116yescomplemented
19C2×#14581770C2212yes—
20C2×#14581770C2212yes—
21C2×#14581770C2212yes—
22C2×#14581770C2212yes—
23C2×#14581757C2214yescomplemented
24C2×#14581750C2212yes—
25C2×#14581748C2212yes—
26C22×Dic83⋊C4C2211yescharacteristic
27C22×Dic83⋊C4C2211yescharacteristic
28C2×C4⋊C4×D83C2212yes—
29C22×(C2×D83)⋊C4C2211yescharacteristic
30C22×(C2×D83)⋊C4C2211yescharacteristic
31C2×C22⋊C4×D83C2212yes—
32#19127606C2214yescomplemented
33#19127605C2214yescomplemented
34#19127605C2214yescomplemented
35#19127598C2214yescomplemented
36#19127596C2214yescomplemented
37#19127596C2214yescomplemented
38#19127592C2214yes—
39#19127591C2214yes—
40#19127591C2214yes—
41#19127590C2214yes—
42#19127588C2214yescomplemented
43#19127587C2214yescomplemented
44#19127587C2214yescomplemented
45#19127585C2214yescomplemented
46#19127582C2214yescomplemented
47#19127582C2214yescomplemented
48#19127572C2214yes—
49#19127572C2214yes—
50#19127564C2212yes—
51#19127563C2212yes—
52#19127562C2212yes—
53#19127561C2211yescharacteristic
54#19127561C2211yescharacteristic
55#19127560C2212yes—
56#19127559C2212yes—
57#19127559C2212yes—
58#19127558C2212yes—
59#19127558C2212yes—
60#19127556C2212yes—
61C4×Dic83⋊C4C2214yescomplemented
62C22⋊C4×Dic83C2212yes—
63C22⋊C4×Dic83C2212yes—
64C4×(C2×D83)⋊C4C2214yes—
65C4×C22⋊Dic83C2212yes—
66#19127548C2212yes—
67#19127548C2214yes—
68#95×D83C2212yes—
69C2×#117×C83C2212yes—
70C22×C4⋊C4×C83C2211yescharacteristic
71#389×C83C2214yescomplemented
72#389×C83C2214yescomplemented
73#380×C83C2211yescharacteristic
74#380×C83C2211yescharacteristic
75#380×C83C2212yes—
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×D83C2311yescharacteristic
87C22×C4×D83C2311yescharacteristic
88C22×C4×D83C2314yes—
89C22×C4×D83C2311yescharacteristic
90C22×C4×D83C2311yescharacteristic
91#14581770C2×C4116yes—
92#14581770C2×C4116yes—
93#14581770C2×C4116yescomplemented
94#14581770C2×C4116yescomplemented
95#14581757—48no—
96#14581750—44no—
97#14581748—44no—
98C2×C4⋊Dic83C2312yes—
99C2×C4⋊Dic83C2312yes—
100C2×Dic83⋊C4C2×C418yescomplemented
101C2×Dic83⋊C4C2×C418yescomplemented
102C2×Dic83⋊C4C2314yes—
103C2×Dic83⋊C4C2314yes—
104C2×Dic83⋊C4C2314yes—
105C2×Dic83⋊C4C2312yes—
106C2×Dic83⋊C4C2312yes—
107C2×Dic83⋊C4C2312yes—
108C2×Dic83⋊C4C2312yes—
109C4⋊C4×D83—44no—
110C2×C22⋊Dic83C2312yes—
111C2×C22⋊Dic83C2312yes—
112C2×(C2×D83)⋊C4C2×C418yes—
113C2×(C2×D83)⋊C4C2×C418yes—
114C2×(C2×D83)⋊C4C2314yes—
115C2×(C2×D83)⋊C4C2314yes—
116C2×(C2×D83)⋊C4C2314yes—
117C2×(C2×D83)⋊C4C2312yes—
118C2×(C2×D83)⋊C4C2312yes—
119C2×(C2×D83)⋊C4C2312yes—
120C2×(C2×D83)⋊C4C2312yes—
121C22⋊C4×D83—44no—
122C2×C4×Dic83C2314yes—
123C2×C4×Dic83C2314yes—
124C2×C4×Dic83C2314yes—
125C2×C4×Dic83C2314yes—
126C83⋊#95C2314yes—
127C83⋊#95C2314yes—
128C83⋊#95C2314yes—
129C83⋊#95C2314yes—
130C83⋊#95C2314yes—
131C83⋊#95C2312yes—
132C83⋊#95C2312yes—
133C83⋊#95C2314yes—
134C83⋊#95C2314yes—
135C83⋊#95C2314yes—
136C83⋊#95C2314yes—
137C23×C4×C83C2311yescharacteristic
138C23×C4×C83C2311yescharacteristic
139C23×C4×C83C2311yescharacteristic
140#117×C83—44no—
141C2×C4⋊C4×C83C2×C418yescomplemented
142C2×C4⋊C4×C83C2312yes—
143C2×C4⋊C4×C83C2312yes—
144C2×C4⋊C4×C83C2314yes—
145C2×C4⋊C4×C83C2314yes—
146C2×C4⋊C4×C83C2312yes—
147C2×C4⋊C4×C83C2312yes—
148C2×C22⋊C4×C83C2312yes—
149C2×C22⋊C4×C83C2312yes—
150C2×C42×C83C2314yes—
151#95×C83C2312yes—
152#95×C83C2312yes—
153#95×C83C2314yes—
154C23×D83—22no—
155C23×D83—22no—
156C23×D83—24no—
157C23×D83—42no—
158C23×D83C22×C414yes—
159C23×D83C2411yescharacteristic
160C23×D83C2411yescharacteristic
161C2×Dic166—28no—
162C2×Dic166—416no—
163C2×Dic166—44no—
164C2×Dic166C22×C418yes—
165C2×Dic166C22×C418yes—
166C22×Dic83—22no—
167C22×Dic83—22no—
168C22×Dic83—24no—
169C22×Dic83—42no—
170C22×Dic83C22×C414yes—
171C22×Dic83C22×C414yes—
172C22×Dic83C22×C414yes—
173C22×Dic83C2414yes—
174C22×Dic83C2414yes—
175C22×Dic83C2411yescharacteristic
176C22×Dic83C2412yes—
177C22×Dic83C2412yes—
178C22×Dic83C2411yescharacteristic
179C2×C4×D83—24no—
180C2×C4×D83—24no—
181C2×C4×D83—28no—
182C2×C4×D83—416no—
183C2×C4×D83—42no—
184C2×C4×D83—42no—
185C2×C4×D83—44no—
186C2×C4×D83—44no—
187C2×C4×D83C22×C414yes—
188C2×C4×D83C22×C414yes—
189C2×C4×D83C22×C414yes—
190C2×C4×D83C22×C414yes—
191C4⋊Dic83—42no—
192C4⋊Dic83—42no—
193Dic83⋊C4—28no—
194Dic83⋊C4—44no—
195Dic83⋊C4—44no—
196Dic83⋊C4C22×C418yes—
197Dic83⋊C4C22×C418yes—
198Dic83⋊C4C22×C418yes—
199Dic83⋊C4C22×C418yes—
200C22⋊Dic83—24no—
201C22⋊Dic83—24no—
202(C2×D83)⋊C4—28no—
203(C2×D83)⋊C4—44no—
204(C2×D83)⋊C4—44no—
205(C2×D83)⋊C4C22×C418yes—
206(C2×D83)⋊C4C22×C418yes—
207(C2×D83)⋊C4C22×C418yes—
208(C2×D83)⋊C4C22×C418yes—
209C4×Dic83—28no—
210C4×Dic83—44no—
211C4×Dic83—44no—
212C4×Dic83—44no—
213C24×C83C2411yescharacteristic
214C22×C4×C83—22no—
215C22×C4×C83—22no—
216C22×C4×C83—42no—
217C22×C4×C83—42no—
218C22×C4×C83C22×C414yes—
219C22×C4×C83C22×C414yes—
220C22×C4×C83C22×C414yes—
221C22×C4×C83C2414yes—
222C22×C4×C83C2414yes—
223C22×C4×C83C2411yescharacteristic
224C22×C4×C83C2411yescharacteristic
225C22×C4×C83C2412yes—
226C22×C4×C83C2412yes—
227C4⋊C4×C83—44no—
228C4⋊C4×C83—42no—
229C4⋊C4×C83—42no—
230C4⋊C4×C83—44no—
231C4⋊C4×C83C22×C418yes—
232C4⋊C4×C83C22×C418yes—
233C22⋊C4×C83—24no—
234C22⋊C4×C83—24no—
235C42×C83—44no—
236C23×C83—22no—
237C23×C83—22no—
238C23×C83C23×C412yes—
239C23×C83H(5,𝔽2)12yes—
240C23×C832−1+412yes—
241C23×C83C2511yescharacteristic
242C22×D83—22no—
243C22×D83—21no—
244C22×D83—21no—
245C22×D83—28no—
246C22×D83—21no—
247C22×D83—22no—
248C22×D83—22no—
249C22×D83—21no—
250C22×D83—28no—
251C22×D83—44no—
252C22×D83—48no—
253C22×D83—48no—
254C22×D83C23×C412yes—
255C22×D83C23×C412yes—
256C22×D832−1+414yes—
257C2×C4×C83—28no—
258C2×C4×C83—22no—
259C2×C4×C83—24no—
260C2×C4×C83—22no—
261C2×C4×C83—22no—
262C2×C4×C83—22no—
263C2×C4×C83—24no—
264C2×C4×C83—24no—
265C2×C4×C83—24no—
266C2×C4×C83—24no—
267C2×C4×C83—24no—
268C2×C4×C83—24no—
269C2×C4×C83—44no—
270C2×C4×C83—44no—
271C2×C4×C83C23×C414yes—
272C2×C4×C83C23×C414yes—
273C2×C4×C83C23×C412yes—
274C2×C4×C83C23×C412yes—
275C2×Dic83—28no—
276C2×Dic83—22no—
277C2×Dic83—24no—
278C2×Dic83—22no—
279C2×Dic83—22no—
280C2×Dic83—28no—
281C2×Dic83—24no—
282C2×Dic83—24no—
283C2×Dic83—24no—
284C2×Dic83—24no—
285C2×Dic83—24no—
286C2×Dic83—24no—
287C2×Dic83—44no—
288C2×Dic83C23×C414yes—
289C2×Dic83C23×C414yes—
290C2×Dic83C23×C412yes—
291C2×Dic83C23×C412yes—
292C2×Dic83H(5,𝔽2)14yes—
293C4×D83—28no—
294C4×D83—28no—
295C4×D83—44no—
296C4×D83—44no—
297C4×D83—88no—
298Dic166—216no—
299Dic166—48no—
300C22×C83—22no—
301C22×C83—22no—
302C22×C83—24no—
303C22×C83—24no—
304C22×C83#52014yes—
305C22×C83C24×C411yescharacteristic
306C22×C83C2×H(5,𝔽2)12yes—
307C22×C83C2×H(5,𝔽2)11yescharacteristic
308C22×C83C2×2−1+412yes—
309C22×C83C2×2−1+411yescharacteristic
310C2×D83—22no—
311C2×D83—22no—
312C2×D83—24no—
313C2×D83—24no—
314C2×D83—22no—
315C2×D83—22no—
316C2×D83—22no—
317C2×D83—416no—
318C2×D83—42no—
319C2×D83—42no—
320C2×D83#51914yes—
321C4×C83—24no—
322C4×C83—22no—
323C4×C83—22no—
324C4×C83—24no—
325C4×C83—44no—
326C4×C83—44no—
327Dic83—24no—
328Dic83—22no—
329Dic83—24no—
330Dic83—44no—
331Dic83—44no—
332Dic83#51814yes—
333#34380—831nomaximal, Sylow
334C2×C83—24no—
335C2×C83C2×#51811yescharacteristic
336C2×C83C2×#51911yescharacteristic
337C2×C83C2×#52011yescharacteristic
338C2×C83#353612yes—
339C2×C83#353812yes—
340D83—24no—
341D83—42no—
342C22×C22⋊Q8—831no—
343#2378—834no—
344#2360—834no—
345#2344—832no—
346#2342—832no—
347#2342—832no—
348Q8×C22⋊C4—832no—
349#2329—834no—
350#2323—834no—
351#2316—831no—
352#2316D8311yescharacteristic, complemented
353#2313—831no—
354#2313—831no—
355#2280—831no—
356C2×#380—831no—
357C83#3438011yescharacteristic, complemented, Sylow
358C23×Q8—831no—
359C24×C4—831no—
360C2×C22⋊Q8—8316no—
361C2×C22⋊Q8—832no—
362C2×C22⋊Q8—832no—
363C2×C22⋊Q8—832no—
364C2×C22⋊Q8—832no—
365C2×C4×Q8—834no—
366C2×#117—832no—
367C2×#117—832no—
368C2×#117C2×D8312yes—
369C22×C4⋊C4—832no—
370C22×C4⋊C4—831no—
371C22×C4⋊C4—831no—
372C22×C4⋊C4C2×D8311yescharacteristic
373C22×C22⋊C4—832no—
374C22×C22⋊C4—831no—
375C22×C22⋊C4—831no—
376#391—834no—
377#391—834no—
378#391—834no—
379#389—834no—
380#389—834no—
381#389—834no—
382#389C2×D8314yescomplemented
383#389C2×D8314yescomplemented
384#388—834no—
385#388—834no—
386#388—834no—
387#388—834no—
388#387—834no—
389#387—834no—
390#387—834no—
391#387—834no—
392#387—834no—
393#387—834no—
394#385—834no—
395#385—834no—
396#381—832no—
397#381—832no—
398#381—832no—
399#380—831no—
400#380—831no—
401#380—832no—
402#380—832no—
403#380—832no—
404#380—832no—
405#380—832no—
406#380C2×D8311yescharacteristic
407#380C2×D8311yescharacteristic
408#380C2×D8312yes—
409#379—832no—
410C4×C4⋊C4—834no—
411C4×C22⋊C4—832no—
412C4×C22⋊C4—832no—
413C4×C22⋊C4—832no—
414C4×C22⋊C4—834no—
415C4×C22⋊C4—834no—
416C4×C22⋊C4—832no—
417C2×#95—832no—
418C25—831no—
419C22×Q8—3324no—
420C22×Q8—838no—
421C22×Q8—832no—
422C22×Q8—832no—
423C23×C4—3324no—
424C23×C4—831no—
425C23×C4—838no—
426C23×C4—831no—
427C23×C4—831no—
428C23×C4—834no—
429C23×C4—831no—
430C23×C4—831no—
431C23×C4—831no—
432C23×C4—831no—
433C23×C4C22×D8311yescharacteristic
434C23×C4C22×D8311yescharacteristic
435C23×C4C22×D8311yescharacteristic
436C22⋊Q8—8316no—
437C22⋊Q8—8316no—
438C22⋊Q8—8316no—
439C22⋊Q8—8316no—
440C4×Q8—3328no—
441#117—44no—
442#117—3324no—
443#117—3324no—
444C2×C4⋊C4—3324no—
445C2×C4⋊C4—832no—
446C2×C4⋊C4—832no—
447C2×C4⋊C4—834no—
448C2×C4⋊C4—834no—
449C2×C4⋊C4—838no—
450C2×C4⋊C4—838no—
451C2×C4⋊C4—832no—
452C2×C4⋊C4—832no—
453C2×C4⋊C4—832no—
454C2×C4⋊C4—832no—
455C2×C4⋊C4—834no—
456C2×C4⋊C4C4×D8318yescomplemented
457C2×C4⋊C4C22×D8312yes—
458C2×C4⋊C4C22×D8312yes—
459C2×C4⋊C4C22×D8314yes—
460C2×C4⋊C4C22×D8314yes—
461C2×C4⋊C4C22×D8312yes—
462C2×C4⋊C4C22×D8312yes—
463C2×C22⋊C4—3324no—
464C2×C22⋊C4—834no—
465C2×C22⋊C4—834no—
466C2×C22⋊C4—838no—
467C2×C22⋊C4—838no—
468C2×C22⋊C4—832no—
469C2×C22⋊C4—832no—
470C2×C22⋊C4—832no—
471C2×C22⋊C4—832no—
472C2×C22⋊C4—832no—
473C2×C22⋊C4—832no—
474C2×C22⋊C4—834no—
475C2×C22⋊C4C22×D8312yes—
476C2×C22⋊C4C22×D8312yes—
477C2×C42—834no—
478C2×C42—834no—
479C2×C42—834no—
480C2×C42—834no—
481C2×C42C22×D8314yes—
482#95—832no—
483#95—834no—
484#95—832no—
485#95—834no—
486#95—834no—
487#95—834no—
488#95—834no—
489#95—834no—
490#95—834no—
491#95—834no—
492#95—834no—
493#95C22×D8312yes—
494#95C22×D8312yes—
495#95C22×D8314yes—
496C24—3322no—
497C24—834no—
498C24—831no—
499C24—831no—
500C24—1664no—
501C24—1662no—
502C24—1662no—
503C24C23×D8311yescharacteristic
504C2×Q8—3324no—
505C2×Q8—33216no—
506C2×Q8—838no—
507C2×Q8—838no—
508C2×Q8—1668no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—3322no—
514C22×C4—3322no—
515C22×C4—3324no—
516C22×C4—3324no—
517C22×C4—33216no—
518C22×C4—3322no—
519C22×C4—834no—
520C22×C4—834no—
521C22×C4—834no—
522C22×C4—831no—
523C22×C4—834no—
524C22×C4—834no—
525C22×C4—831no—
526C22×C4—832no—
527C22×C4—832no—
528C22×C4—834no—
529C22×C4—834no—
530C22×C4—834no—
531C22×C4—834no—
532C22×C4—1664no—
533C22×C4—1664no—
534C22×C4—1668no—
535C22×C4—1664no—
536C22×C4—1662no—
537C22×C4—1662no—
538C22×C4C2×C4×D8314yes—
539C22×C4C2×C4×D8314yes—
540C22×C4C2×C4×D8314yes—
541C22×C4C23×D8314yes—
542C22×C4C23×D8314yes—
543C22×C4C23×D8312yes—
544C22×C4C23×D8312yes—
545C22×C4C23×D8311yescharacteristic
546C22×C4C23×D8311yescharacteristic
547C4⋊C4—42no—
548C4⋊C4—44no—
549C4⋊C4—42no—
550C4⋊C4—44no—
551C4⋊C4—3322no—
552C4⋊C4—3324no—
553C4⋊C4—3322no—
554C4⋊C4—3324no—
555C4⋊C4—838no—
556C4⋊C4—838no—
557C4⋊C4—838no—
558C4⋊C4—838no—
559C4⋊C4—1668no—
560C4⋊C4C2×C4×D8318yes—
561C4⋊C4C2×C4×D8318yes—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—3324no—
565C22⋊C4—3324no—
566C22⋊C4—838no—
567C22⋊C4—838no—
568C22⋊C4—838no—
569C22⋊C4—838no—
570C22⋊C4—1668no—
571C22⋊C4—1664no—
572C22⋊C4—1664no—
573C42—44no—
574C42—3324no—
575C42—3324no—
576C42—3324no—
577C42—1668no—
578C23—22no—
579C23—22no—
580C23—3328no—
581C23—3328no—
582C23—3324no—
583C23—832no—
584C23—834no—
585C23—832no—
586C23—1668no—
587C23—1668no—
588C23—1662no—
589C23—1661no—
590C23—1662no—
591C23—1661no—
592C23—1662no—
593C23—1661no—
594C23—1661no—
595C23C22×C4×D8312yes—
596C23#1458183712yes—
597C23#1458184012yes—
598C23C24×D8311yescharacteristic
599Q8—3328no—
600Q8—16616no—
601C2×C4—28no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—44no—
614C2×C4—44no—
615C2×C4—3324no—
616C2×C4—3324no—
617C2×C4—3324no—
618C2×C4—832no—
619C2×C4—834no—
620C2×C4—834no—
621C2×C4—834no—
622C2×C4—832no—
623C2×C4—6648no—
624C2×C4—1668no—
625C2×C4—1668no—
626C2×C4—1664no—
627C2×C4—1664no—
628C2×C4—1664no—
629C2×C4—1664no—
630C2×C4—1664no—
631C2×C4—1664no—
632C2×C4—1668no—
633C2×C4—1668no—
634C2×C4—1664no—
635C2×C4—1662no—
636C2×C4—1662no—
637C2×C4—1662no—
638C2×C4C22×C4×D8314yes—
639C2×C4C22×C4×D8314yes—
640C2×C4C22×C4×D8312yes—
641C2×C4C22×C4×D8312yes—
642C22—22no—
643C22—22no—
644C22—24no—
645C22—24no—
646C22—33216no—
647C22—3322no—
648C22—3322no—
649C22—834no—
650C22—1662no—
651C22—1662no—
652C22—1662no—
653C22—1662no—
654C22—1664no—
655C22—1662no—
656C22—1664no—
657C22#1912818214yes—
658C22C23×C4×D8311yescharacteristic
659C22H(5,𝔽2)×D8312yes—
660C22C2×#1458183711yescharacteristic
661C222−1+4×D8312yes—
662C22C2×#1458184011yescharacteristic
663C4—22no—
664C4—22no—
665C4—24no—
666C4—24no—
667C4—44no—
668C4—44no—
669C4—3324no—
670C4—3324no—
671C4—834no—
672C4—1662no—
673C4—1664no—
674C4—1664no—
675C2—24no—
676C2—3322no—
677C2—1664no—
678C2#518×D8311yescharacteristic
679C2#519×D8311yescharacteristic
680C2C2×#1912818211yescharacteristic
681C2#2492168012yes—
682C2#2492170512yes—
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2316C2
socle, cosocleC23×C83C25
prime radicalC24×D83C23
hypercenter#2316D83
hypocenterC83#34380
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2316

Complements

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

NH ≅ G/Ntype
2. #24910625C2semidirect
3. #24910465C2semidirect
4. #24910333C2semidirect
7. #24910295C2semidirect
8. #24910197C2semidirect
9. #24910140C2semidirect
10. #24910080C2semidirect
11. #24910066C2semidirect
12. #24910065C2semidirect
15. C83×#2316C2semidirect
18. C2×#14581770C4semidirect
23. C2×#14581757C22semidirect
32. #19127606C22semidirect
33. #19127605C22semidirect
34. #19127605C22semidirect
35. #19127598C22semidirect
36. #19127596C22semidirect
37. #19127596C22semidirect
42. #19127588C22semidirect
43. #19127587C22semidirect
44. #19127587C22semidirect
45. #19127585C22semidirect
46. #19127582C22semidirect
47. #19127582C22semidirect
61. C4×Dic83⋊C4C22semidirect
71. #389×C83C22semidirect
72. #389×C83C22semidirect
78. C22×Dic166C2×C4semidirect
93. #14581770C2×C4semidirect
94. #14581770C2×C4semidirect
100. C2×Dic83⋊C4C2×C4semidirect
101. C2×Dic83⋊C4C2×C4semidirect
141. C2×C4⋊C4×C83C2×C4semidirect
352. #2316D83semidirect
357. C83#34380semidirect
382. #389C2×D83semidirect
383. #389C2×D83semidirect
456. 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
#249106252
#249104652
#249103332
#249103132
#249103092
#249102952
#249101972
#249101402
#249100802
#249100662
#249100652
#249098452
#380×D832
C83×#23162
#3438083