Finite Group Databasebeta

← #35565362

Subgroups — #35565362

Order 21248.

2834 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128176C211yesmaximal, characteristic
2#24910401C214yesmaximal, complemented
3#24910390C214yesmaximal, complemented
4#24910325C214yesmaximal, complemented
5#24910314C214yesmaximal, complemented
6#24910089C214yesmaximal, complemented
7#24910075C211yesmaximal, characteristic, complemented
8#24909903C214yesmaximal, complemented
9C2×#19127581C211yesmaximal, characteristic
10C2×#19127573C211yesmaximal, characteristic, complemented
11#24909816C211yesmaximal, characteristic, complemented
12C2×C22⋊C4×Dic83C211yesmaximal, characteristic, complemented
13C83×#2308C211yesmaximal, characteristic
14C24×Dic83C2211yescharacteristic
15#19128176C4116yescomplemented
16C2×D4×Dic83C2214yes—
17C2×D4×Dic83C2214yes—
18C2×#14581751C2212yes—
19C2×#14581748C2214yescomplemented
20C22×Dic83⋊C4C2212yescomplemented
21C22×C22⋊Dic83C2211yescharacteristic
22C22×C22⋊Dic83C2212yes—
23C22×C22⋊Dic83C2211yescharacteristic
24C22×C22⋊Dic83C2211yescharacteristic
25C22×C22⋊Dic83C2212yes—
26C22×C4×Dic83C2212yescomplemented
27#19127595C2214yescomplemented
28#19127595C2214yescomplemented
29#19127589C2214yescomplemented
30#19127589C2214yescomplemented
31#19127586C2214yescomplemented
32#19127586C2214yescomplemented
33#19127584C2214yescomplemented
34#19127584C2214yescomplemented
35#19127581C2212yes—
36#19127581C2214yes—
37#19127581C2212yes—
38#19127574C2214yescomplemented
39#19127573C2214yes—
40#19127573C2214yes—
41#19127573C2212yescomplemented
42#19127573C2212yescomplemented
43#19127568C2214yescomplemented
44#19127565C2214yescomplemented
45#19127562C2214yescomplemented
46#19127559C2214yescomplemented
47#19127559C2214yescomplemented
48#19127552C2214yescomplemented
49C22⋊C4×Dic83C2214yes—
50C22⋊C4×Dic83C2214yes—
51C22⋊C4×Dic83C2214yescomplemented
52C22⋊C4×Dic83C2214yescomplemented
53C22⋊C4×Dic83C2214yescomplemented
54C4×C22⋊Dic83C2212yescomplemented
55C4×C22⋊Dic83C2212yescomplemented
56#19127546C2214yescomplemented
57C2×C83⋊#95C2212yes—
58C2×C83⋊#95C2212yescomplemented
59C2×C83⋊#95C2212yescomplemented
60C23×D4×C83C2211yescharacteristic
61C22×C22⋊C4×C83C2211yescharacteristic
62C22×C22⋊C4×C83C2211yescharacteristic
63#386×C83C2214yes—
64#386×C83C2212yes—
65#386×C83C2212yes—
66#381×C83C2212yes—
67#379×C83C2212yes—
68C23×Dic83—24no—
69C23×Dic83—44no—
70C23×Dic83C2311yescharacteristic
71C23×Dic83C2312yes—
72C23×Dic83C2312yes—
73C23×Dic83C2312yes—
74C23×Dic83C2311yescharacteristic
75C23×Dic83C2312yes—
76C23×Dic83C2312yes—
77C23×Dic83C2314yes—
78D4×Dic83C2×C4132yescomplemented
79D4×Dic83C2×C4132yescomplemented
80#14581751C2×C4116yescomplemented
81#14581748—48no—
82C2×C4⋊Dic83C2314yes—
83C2×Dic83⋊C4—44no—
84C2×Dic83⋊C4C2314yes—
85C2×Dic83⋊C4C2314yes—
86C2×Dic83⋊C4C2314yes—
87C2×Dic83⋊C4C2314yes—
88C2×C22⋊Dic83—24no—
89C2×C22⋊Dic83—44no—
90C2×C22⋊Dic83C2×C418yes—
91C2×C22⋊Dic83C2×C418yes—
92C2×C22⋊Dic83C2×C4116yescomplemented
93C2×C22⋊Dic83C2312yes—
94C2×C22⋊Dic83C2312yes—
95C2×C22⋊Dic83C2314yes—
96C2×C22⋊Dic83C2314yes—
97C2×C22⋊Dic83C2312yes—
98C2×C22⋊Dic83C2312yes—
99C2×C22⋊Dic83C2312yes—
100C2×C22⋊Dic83C2312yes—
101C2×C22⋊Dic83C2314yes—
102C2×C4×Dic83—44no—
103C2×C4×Dic83C2314yes—
104C2×C4×Dic83C2314yes—
105C2×C4×Dic83C2314yes—
106C2×C4×Dic83C2314yes—
107C2×C4×Dic83C2314yes—
108C83⋊#95C2314yes—
109C83⋊#95C2314yes—
110C83⋊#95C2314yes—
111C83⋊#95C2314yes—
112C83⋊#95C2314yes—
113C83⋊#95C2314yes—
114C83⋊#95C2314yes—
115C83⋊#95C2314yes—
116C83⋊#95C2314yes—
117C83⋊#95C2314yes—
118C25×C83C2311yescharacteristic
119C25×C83C2311yescharacteristic
120C22×D4×C83—24no—
121C22×D4×C83—24no—
122C22×D4×C83C2×C418yes—
123C22×D4×C83C2312yes—
124C22×D4×C83C2312yes—
125C23×C4×C83C2311yescharacteristic
126C23×C4×C83C2312yes—
127C23×C4×C83C2311yescharacteristic
128C23×C4×C83C2311yescharacteristic
129C2×C22⋊C4×C83—24no—
130C2×C22⋊C4×C83—24no—
131C2×C22⋊C4×C83C2312yes—
132C2×C22⋊C4×C83C2312yes—
133C2×C22⋊C4×C83C2312yes—
134C2×C22⋊C4×C83C2312yes—
135C2×C22⋊C4×C83C2314yes—
136C2×C22⋊C4×C83C2314yes—
137#95×C83C2314yes—
138#95×C83C2314yes—
139C22×Dic83—22no—
140C22×Dic83—24no—
141C22×Dic83—24no—
142C22×Dic83—24no—
143C22×Dic83—22no—
144C22×Dic83—24no—
145C22×Dic83—24no—
146C22×Dic83—24no—
147C22×Dic83—42no—
148C22×Dic83—42no—
149C22×Dic83—42no—
150C22×Dic83—42no—
151C22×Dic83—44no—
152C22×Dic83—42no—
153C22×Dic83—42no—
154C22×Dic83—42no—
155C22×Dic83—44no—
156C22×Dic83—42no—
157C22×Dic83—42no—
158C22×Dic83—416no—
159C22×Dic83C22×C418yes—
160C22×Dic83C22×C418yes—
161C22×Dic83C22×C4116yescomplemented
162C22×Dic83C2412yes—
163C22×Dic83C2414yes—
164C22×Dic83C2414yes—
165C22×Dic83C2414yes—
166C22×Dic83C2412yes—
167C4⋊Dic83C22×C4116yescomplemented
168Dic83⋊C4—28no—
169Dic83⋊C4—44no—
170Dic83⋊C4—44no—
171Dic83⋊C4—44no—
172C22⋊Dic83—24no—
173C22⋊Dic83—24no—
174C22⋊Dic83—28no—
175C22⋊Dic83—44no—
176C22⋊Dic83C22×C418yes—
177C22⋊Dic83C22×C418yes—
178C22⋊Dic83C22×C418yes—
179C22⋊Dic83C22×C418yes—
180C22⋊Dic83C22×C4116yescomplemented
181C4×Dic83—28no—
182C4×Dic83—44no—
183C4×Dic83—44no—
184C4×Dic83—44no—
185C4×Dic83C22×C4116yescomplemented
186C24×C83—22no—
187C24×C83—22no—
188C24×C83—42no—
189C24×C83—42no—
190C24×C83—42no—
191C24×C83—42no—
192C24×C83C22×C414yes—
193C24×C83C22×C414yes—
194C24×C83#4114yes—
195C24×C83#4114yes—
196C24×C83C2412yes—
197C24×C83C2411yescharacteristic
198C24×C83C2411yescharacteristic
199C24×C83C2411yescharacteristic
200C2×D4×C83—232no—
201C2×D4×C83—24no—
202C2×D4×C83—24no—
203C2×D4×C83—24no—
204C2×D4×C83—24no—
205C2×D4×C83C22×C418yes—
206C2×D4×C83C22×C418yes—
207C22×C4×C83—22no—
208C22×C4×C83—22no—
209C22×C4×C83—24no—
210C22×C4×C83—22no—
211C22×C4×C83—22no—
212C22×C4×C83—42no—
213C22×C4×C83—42no—
214C22×C4×C83—42no—
215C22×C4×C83—42no—
216C22×C4×C83C22×C414yes—
217C22×C4×C83C2412yes—
218C22×C4×C83C2414yes—
219C22×C4×C83C2412yes—
220C22×C4×C83C2412yes—
221C22⋊C4×C83—24no—
222C22⋊C4×C83—24no—
223C22⋊C4×C83—24no—
224C22⋊C4×C83—24no—
225C22⋊C4×C83—44no—
226C22⋊C4×C83—44no—
227C23×C83—22no—
228C23×C83—22no—
229C23×C83—22no—
230C23×C83—22no—
231C23×C83—22no—
232C23×C83—22no—
233C23×C83—22no—
234C23×C83—22no—
235C23×C83—24no—
236C23×C83—24no—
237C23×C83—28no—
238C23×C83—48no—
239C23×C83—44no—
240C23×C83—48no—
241C23×C83—44no—
242C23×C83—48no—
243C23×C83—82no—
244C23×C83—82no—
245C23×C83—84no—
246C23×C83#117116yescomplemented
247C23×C83C23×C414yes—
248C23×C83C23×C412yes—
249C23×C83C23×C412yes—
250C23×C83C23×C412yes—
251C23×C83C2×#4112yes—
252C23×C83C2×#4112yes—
253C23×C83C2×#4112yes—
254C23×C83C2×#4112yes—
255C23×C83C2×#4112yes—
256C23×C83C2×#4112yes—
257C23×C83C2511yescharacteristic
258D4×C83—216no—
259D4×C83—216no—
260C2×C4×C83—28no—
261C2×C4×C83—22no—
262C2×C4×C83—22no—
263C2×C4×C83—22no—
264C2×C4×C83—22no—
265C2×C4×C83—24no—
266C2×C4×C83—24no—
267C2×C4×C83—24no—
268C2×C4×C83—24no—
269C2×C4×C83—24no—
270C2×C4×C83—48no—
271C2×C4×C83—82no—
272C2×C4×C83—82no—
273C2×C4×C83C23×C414yes—
274C2×Dic83—28no—
275C2×Dic83—22no—
276C2×Dic83—24no—
277C2×Dic83—22no—
278C2×Dic83—24no—
279C2×Dic83—24no—
280C2×Dic83—24no—
281C2×Dic83—24no—
282C2×Dic83—22no—
283C2×Dic83—24no—
284C2×Dic83—22no—
285C2×Dic83—22no—
286C2×Dic83—24no—
287C2×Dic83—48no—
288C2×Dic83—48no—
289C2×Dic83—416no—
290C2×Dic83—48no—
291C2×Dic83—48no—
292C2×Dic83—44no—
293C2×Dic83—84no—
294C2×Dic83C23×C418yes—
295C2×Dic83C23×C418yes—
296C2×Dic83H(5,𝔽2)14yes—
297C22×C83—24no—
298C22×C83—24no—
299C22×C83—24no—
300C22×C83—22no—
301C22×C83—22no—
302C22×C83—22no—
303C22×C83—22no—
304C22×C83—22no—
305C22×C83—22no—
306C22×C83—24no—
307C22×C83—24no—
308C22×C83—24no—
309C22×C83—24no—
310C22×C83—28no—
311C22×C83—416no—
312C22×C83—42no—
313C22×C83—42no—
314C22×C83—44no—
315C22×C83—88no—
316C22×C83C2×#11714yes—
317C22×C83C2×#11714yes—
318C22×C83C2×#11714yes—
319C22×C83C24×C411yescharacteristic
320C22×C83C22×#4111yescharacteristic
321C22×C83C22×#4111yescharacteristic
322C22×C83C2×H(5,𝔽2)12yes—
323C22×C83#58512yes—
324C4×C83—24no—
325C4×C83—42no—
326C4×C83—42no—
327C4×C83—44no—
328Dic83—28no—
329Dic83—28no—
330Dic83—24no—
331Dic83—42no—
332Dic83—44no—
333#34251—831nomaximal, Sylow
334C2×C83—24no—
335C2×C83—24no—
336C2×C83—24no—
337C2×C83—44no—
338C2×C83C22×#11711yescharacteristic
339C2×C83C4×H(5,𝔽2)12yes—
340C2×C83#349011yescharacteristic
341C2×C83#349111yescharacteristic
342C2×C83#350512yes—
343C2×#518—831no—
344#2353—834no—
345#2352—834no—
346#2343—834no—
347#2342—834no—
348#2318—834no—
349#2315—831no—
350#2308D8311yescharacteristic
351#2290—834no—
352C2×#386—831no—
353C2×#385—831no—
354#2273—831no—
355C2×C4×C22⋊C4—831no—
356C83#3425111yescharacteristic, complemented, Sylow
357C23×D4C2×D8311yescharacteristic
358C24×C4—831no—
359#518—8316no—
360C2×C4×D4—834no—
361C2×C4×D4—834no—
362C2×#117—832no—
363C2×#117—834no—
364C22×C4⋊C4—832no—
365C22×C22⋊C4—832no—
366C22×C22⋊C4—831no—
367C22×C22⋊C4—832no—
368C22×C22⋊C4—831no—
369C22×C22⋊C4—831no—
370C22×C22⋊C4C2×D8311yescharacteristic
371C22×C22⋊C4C2×D8311yescharacteristic
372C22×C42—832no—
373#388—834no—
374#388—834no—
375#388—834no—
376#388—834no—
377#387—834no—
378#387—834no—
379#387—834no—
380#387—834no—
381#386—832no—
382#386—834no—
383#386—832no—
384#386C2×D8314yes—
385#386C2×D8312yes—
386#386C2×D8312yes—
387#385—834no—
388#385—834no—
389#385—832no—
390#385—834no—
391#385—832no—
392#383—834no—
393#382—834no—
394#381—834no—
395#381C2×D8312yes—
396#380—834no—
397#380—834no—
398#379C2×D8312yes—
399C4×C4⋊C4—834no—
400C4×C22⋊C4—832no—
401C4×C22⋊C4—832no—
402C4×C22⋊C4—834no—
403C4×C22⋊C4—834no—
404C4×C22⋊C4—834no—
405C4×C22⋊C4—834no—
406C4×C22⋊C4—834no—
407#376—834no—
408C2×#95—832no—
409C2×#95—832no—
410C2×#95—832no—
411C25C22×D8311yescharacteristic
412C25C22×D8311yescharacteristic
413C22×D4—24no—
414C22×D4—24no—
415C22×D4C4×D8318yes—
416C22×D4C22×D8312yes—
417C22×D4C22×D8312yes—
418C23×C4—3324no—
419C23×C4—832no—
420C23×C4—834no—
421C23×C4—832no—
422C23×C4—832no—
423C23×C4—831no—
424C23×C4—832no—
425C23×C4—832no—
426C23×C4—831no—
427C23×C4—1664no—
428C23×C4C22×D8311yescharacteristic
429C23×C4C22×D8311yescharacteristic
430C23×C4C22×D8311yescharacteristic
431C23×C4C22×D8312yes—
432C4×D4—8332no—
433C4×D4—8332no—
434#117—3328no—
435#117—8316no—
436C2×C4⋊C4—3324no—
437C2×C4⋊C4—834no—
438C2×C4⋊C4—834no—
439C2×C4⋊C4—834no—
440C2×C4⋊C4—834no—
441C2×C4⋊C4—834no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—24no—
444C2×C22⋊C4—3324no—
445C2×C22⋊C4—834no—
446C2×C22⋊C4—838no—
447C2×C22⋊C4—838no—
448C2×C22⋊C4—8316no—
449C2×C22⋊C4—832no—
450C2×C22⋊C4—832no—
451C2×C22⋊C4—832no—
452C2×C22⋊C4—832no—
453C2×C22⋊C4—834no—
454C2×C22⋊C4—834no—
455C2×C22⋊C4—832no—
456C2×C22⋊C4—832no—
457C2×C22⋊C4—1664no—
458C2×C22⋊C4C22×D8312yes—
459C2×C22⋊C4C22×D8312yes—
460C2×C22⋊C4C22×D8312yes—
461C2×C22⋊C4C22×D8312yes—
462C2×C22⋊C4C22×D8314yes—
463C2×C22⋊C4C22×D8314yes—
464C2×C42—3324no—
465C2×C42—834no—
466C2×C42—834no—
467C2×C42—834no—
468C2×C42—834no—
469C2×C42—834no—
470#95—834no—
471#95—834no—
472#95—834no—
473#95—834no—
474#95—834no—
475#95—834no—
476#95—834no—
477#95—834no—
478#95—834no—
479#95—834no—
480#95C22×D8314yes—
481#95C22×D8314yes—
482C24—22no—
483C24—22no—
484C24—42no—
485C24—42no—
486C24—42no—
487C24—42no—
488C24C2×C4×D8314yes—
489C24C2×C4×D8314yes—
490C24#1305058914yes—
491C24#1305058914yes—
492C24C23×D8312yes—
493C24C23×D8311yescharacteristic
494C24C23×D8311yescharacteristic
495C24C23×D8311yescharacteristic
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—24no—
500C2×D4—232no—
501C2×D4C2×C4×D8318yes—
502C2×D4C2×C4×D8318yes—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—33216no—
513C22×C4—3322no—
514C22×C4—3322no—
515C22×C4—3324no—
516C22×C4—3322no—
517C22×C4—3322no—
518C22×C4—3322no—
519C22×C4—3322no—
520C22×C4—3324no—
521C22×C4—3322no—
522C22×C4—3322no—
523C22×C4—3322no—
524C22×C4—838no—
525C22×C4—838no—
526C22×C4—8316no—
527C22×C4—834no—
528C22×C4—832no—
529C22×C4—834no—
530C22×C4—832no—
531C22×C4—834no—
532C22×C4—1664no—
533C22×C4—1664no—
534C22×C4—1662no—
535C22×C4—1664no—
536C22×C4—1664no—
537C22×C4—1664no—
538C22×C4—1664no—
539C22×C4—1662no—
540C22×C4C2×C4×D8314yes—
541C22×C4C23×D8312yes—
542C22×C4C23×D8314yes—
543C22×C4C23×D8312yes—
544C22×C4C23×D8312yes—
545C4⋊C4—3324no—
546C4⋊C4—3324no—
547C4⋊C4—3324no—
548C4⋊C4—8316no—
549C4⋊C4—1668no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—44no—
555C22⋊C4—44no—
556C22⋊C4—3324no—
557C22⋊C4—838no—
558C22⋊C4—838no—
559C22⋊C4—838no—
560C22⋊C4—838no—
561C22⋊C4—8316no—
562C22⋊C4—1668no—
563C22⋊C4—1664no—
564C22⋊C4—1664no—
565C42—3324no—
566C42—3324no—
567C42—3324no—
568C42—8316no—
569C42—1668no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—24no—
580C23—28no—
581C23—44no—
582C23—48no—
583C23—44no—
584C23—48no—
585C23—48no—
586C23—82no—
587C23—82no—
588C23—84no—
589C23#14581748116yescomplemented
590C23C22×C4×D8314yes—
591C23C22×C4×D8312yes—
592C23C22×C4×D8312yes—
593C23C22×C4×D8312yes—
594C23C2×#1305058912yes—
595C23C2×#1305058912yes—
596C23C2×#1305058912yes—
597C23C2×#1305058912yes—
598C23C2×#1305058912yes—
599C23C2×#1305058912yes—
600C23C24×D8311yescharacteristic
601D4—216no—
602D4—216no—
603C2×C4—28no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—48no—
614C2×C4—82no—
615C2×C4—82no—
616C2×C4—3324no—
617C2×C4—3328no—
618C2×C4—3328no—
619C2×C4—3328no—
620C2×C4—3328no—
621C2×C4—33216no—
622C2×C4—838no—
623C2×C4—838no—
624C2×C4—834no—
625C2×C4—6644no—
626C2×C4—1664no—
627C2×C4—1662no—
628C2×C4—1664no—
629C2×C4—1662no—
630C2×C4—1662no—
631C2×C4—1664no—
632C2×C4—1668no—
633C2×C4—1662no—
634C2×C4—1664no—
635C2×C4—1662no—
636C2×C4—1664no—
637C2×C4—1664no—
638C2×C4—1664no—
639C2×C4C22×C4×D8314yes—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—24no—
647C22—24no—
648C22—24no—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—24no—
653C22—28no—
654C22—416no—
655C22—42no—
656C22—42no—
657C22—44no—
658C22—88no—
659C22C2×#1458174814yes—
660C22C2×#1458174814yes—
661C22C2×#1458174814yes—
662C22C23×C4×D8311yescharacteristic
663C22C22×#1305058911yescharacteristic
664C22C22×#1305058911yescharacteristic
665C22H(5,𝔽2)×D8312yes—
666C22#1912853612yes—
667C4—24no—
668C4—42no—
669C4—42no—
670C4—44no—
671C4—3322no—
672C4—3324no—
673C4—1664no—
674C4—1668no—
675C4—1668no—
676C2—24no—
677C2—24no—
678C2—24no—
679C2—44no—
680C2C22×#1458174811yescharacteristic
681C2#2492066712yes—
682C2#2492115111yescharacteristic
683C2#2492116011yescharacteristic
684C2#2492130012yes—
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2308C2
socle, cosocleC23×C83C25
prime radicalC23×D4×C83C22
hypercenter#2308D83
hypocenterC83#34251
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2308

Complements

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

NH ≅ G/Ntype
2. #24910401C2semidirect
3. #24910390C2semidirect
4. #24910325C2semidirect
5. #24910314C2semidirect
6. #24910089C2semidirect
7. #24910075C2semidirect
8. #24909903C2semidirect
10. C2×#19127573C2semidirect
11. #24909816C2semidirect
12. C2×C22⋊C4×Dic83C2semidirect
15. #19128176C4semidirect
19. C2×#14581748C22semidirect
20. C22×Dic83⋊C4C22semidirect
26. C22×C4×Dic83C22semidirect
27. #19127595C22semidirect
28. #19127595C22semidirect
29. #19127589C22semidirect
30. #19127589C22semidirect
31. #19127586C22semidirect
32. #19127586C22semidirect
33. #19127584C22semidirect
34. #19127584C22semidirect
38. #19127574C22semidirect
41. #19127573C22semidirect
42. #19127573C22semidirect
43. #19127568C22semidirect
44. #19127565C22semidirect
45. #19127562C22semidirect
46. #19127559C22semidirect
47. #19127559C22semidirect
48. #19127552C22semidirect
51. C22⋊C4×Dic83C22semidirect
52. C22⋊C4×Dic83C22semidirect
53. C22⋊C4×Dic83C22semidirect
54. C4×C22⋊Dic83C22semidirect
55. C4×C22⋊Dic83C22semidirect
56. #19127546C22semidirect
58. C2×C83⋊#95C22semidirect
59. C2×C83⋊#95C22semidirect
78. D4×Dic83C2×C4semidirect
79. D4×Dic83C2×C4semidirect
80. #14581751C2×C4semidirect
92. C2×C22⋊Dic83C2×C4semidirect
161. C22×Dic83C22×C4semidirect
167. C4⋊Dic83C22×C4semidirect
180. C22⋊Dic83C22×C4semidirect
185. C4×Dic83C22×C4semidirect
246. C23×C83#117semidirect
356. C83#34251semidirect
589. C23#14581748semidirect

Maximal subgroups

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

subgroupindex
C2×#191281762
#249104012
#249103902
#249103252
#249103142
#249100892
#249100752
#249099032
C2×#191275812
C2×#191275732
#249098162
C2×C22⋊C4×Dic832
C83×#23082
#3425183