Finite Group Databasebeta

← #35325911

Subgroups — #35325911

Order 21248.

2298 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19127573C212yesmaximal
2C2×#19127552C211yesmaximal, characteristic, complemented
3C2×C22⋊C4×Dic83C212yesmaximal
4C2×C4×C22⋊Dic83C211yesmaximal, characteristic
5C22×C83⋊#95C211yesmaximal, characteristic
6#24905698C212yesmaximal, complemented
7#24905694C212yesmaximal, complemented
8Dic83⋊#95C211yesmaximal, characteristic, complemented
9#24905687C211yesmaximal, characteristic, complemented
10#95×Dic83C211yesmaximal, characteristic, complemented
11C83×C22⋊#95C211yesmaximal, characteristic
12C24×Dic83C2212yes—
13C22×Dic83⋊C4C2212yes—
14C22×Dic83⋊C4C2212yes—
15C22×C22⋊Dic83C2211yescharacteristic
16C22×C22⋊Dic83C2211yescharacteristic
17C22×C4×Dic83C2212yes—
18C22×C4×Dic83C2212yes—
19C22×C4×Dic83C2211yescharacteristic
20C22×C4×Dic83C2211yescharacteristic
21#19127573C4116yescomplemented
22#19127552—24no—
23C22⋊C4×Dic83—28no—
24C4×C22⋊Dic83C418yescomplemented
25C2×C83⋊#95—24no—
26C2×C83⋊#95C2211yescharacteristic
27C2×C83⋊#95C2212yes—
28C2×C83⋊#95C2212yes—
29C2×C83⋊#95C2212yes—
30C2×C83⋊#95C2212yes—
31C2×C83⋊#95C2212yes—
32C2×C83⋊#95C2211yescharacteristic
33C2×C83⋊#95C2211yescharacteristic
34C2×C83⋊#95C2211yescharacteristic
35C24×C4×C83C2211yescharacteristic
36C22×C22⋊C4×C83C2212yes—
37C2×#95×C83C2211yescharacteristic
38C2×#95×C83C2211yescharacteristic
39C2×#95×C83C2212yes—
40C23×Dic83—24no—
41C23×Dic83—24no—
42C23×Dic83—24no—
43C23×Dic83—24no—
44C23×Dic83—42no—
45C23×Dic83—42no—
46C23×Dic83C2×C418yes—
47C23×Dic83C2312yes—
48C23×Dic83C2311yescharacteristic
49C23×Dic83C2311yescharacteristic
50C23×Dic83C2311yescharacteristic
51C23×Dic83C2311yescharacteristic
52C23×Dic83C2312yes—
53C2×Dic83⋊C4—24no—
54C2×Dic83⋊C4—24no—
55C2×Dic83⋊C4—42no—
56C2×Dic83⋊C4—42no—
57C2×Dic83⋊C4C2×C418yescomplemented
58C2×Dic83⋊C4C2×C418yescomplemented
59C2×C22⋊Dic83C2×C418yes—
60C2×C22⋊Dic83C2×C414yes—
61C2×C22⋊Dic83C2×C414yes—
62C2×C22⋊Dic83D414yes—
63C2×C22⋊Dic83Q814yes—
64C2×C4×Dic83—24no—
65C2×C4×Dic83—24no—
66C2×C4×Dic83—24no—
67C2×C4×Dic83—24no—
68C2×C4×Dic83—22no—
69C2×C4×Dic83—22no—
70C2×C4×Dic83—42no—
71C2×C4×Dic83—42no—
72C2×C4×Dic83—42no—
73C2×C4×Dic83C2×C414yescomplemented
74C2×C4×Dic83C2×C414yescomplemented
75C83⋊#95—24no—
76C83⋊#95—24no—
77C83⋊#95—24no—
78C83⋊#95—22no—
79C83⋊#95C2×C418yescomplemented
80C83⋊#95C2×C418yescomplemented
81C83⋊#95C2×C414yescomplemented
82C83⋊#95C2×C414yescomplemented
83C83⋊#95D414yes—
84C25×C83C2311yescharacteristic
85C23×C4×C83—24no—
86C23×C4×C83—22no—
87C23×C4×C83—22no—
88C23×C4×C83—42no—
89C23×C4×C83C2×C414yes—
90C23×C4×C83C2312yes—
91C23×C4×C83C2312yes—
92C23×C4×C83C2311yescharacteristic
93C23×C4×C83C2311yescharacteristic
94C2×C22⋊C4×C83—24no—
95C2×C22⋊C4×C83—24no—
96C2×C22⋊C4×C83C2×C418yes—
97#95×C83—22no—
98#95×C83—22no—
99#95×C83—42no—
100C22×Dic83—22no—
101C22×Dic83—21no—
102C22×Dic83—21no—
103C22×Dic83—22no—
104C22×Dic83—22no—
105C22×Dic83—21no—
106C22×Dic83—21no—
107C22×Dic83—22no—
108C22×Dic83—22no—
109C22×Dic83—22no—
110C22×Dic83—22no—
111C22×Dic83—21no—
112C22×Dic83—22no—
113C22×Dic83—21no—
114C22×Dic83—21no—
115C22×Dic83—21no—
116C22×Dic83—216no—
117C22×Dic83—22no—
118C22×Dic83—22no—
119C22×Dic83—22no—
120C22×Dic83—22no—
121C22×Dic83—22no—
122C22×Dic83—22no—
123C22×Dic83—216no—
124C22×Dic83—48no—
125C22×Dic83—48no—
126C22×Dic83—48no—
127C22×Dic83—48no—
128C22×Dic83—48no—
129C22×Dic83C22×C414yes—
130C22×Dic83C22×C412yes—
131C22×Dic83C22×C412yes—
132C22×Dic83C22×C414yes—
133C22×Dic83C22×C414yes—
134C22×Dic83C22×C412yes—
135C22×Dic83C22×C412yes—
136C22×Dic83C22×C414yes—
137C22×Dic83C2×D412yes—
138C22×Dic83C2×D412yes—
139C22×Dic83C2×D414yes—
140C22×Dic83C2×Q812yes—
141C22×Dic83C2×Q812yes—
142C22×Dic83#4114yes—
143Dic83⋊C4—216no—
144Dic83⋊C4—48no—
145C22⋊Dic83C42116yescomplemented
146C22⋊Dic83C4⋊C4116yescomplemented
147C4×Dic83—28no—
148C4×Dic83—44no—
149C4×Dic83—48no—
150C4×Dic83—48no—
151C24×C83—21no—
152C24×C83—22no—
153C24×C83—21no—
154C24×C83—21no—
155C24×C83—22no—
156C24×C83—21no—
157C24×C83C22×C412yes—
158C24×C83C22×C414yes—
159C24×C83C2×D412yes—
160C24×C83C2×Q812yes—
161C24×C83#4114yes—
162C24×C83C2411yescharacteristic
163C22×C4×C83—22no—
164C22×C4×C83—22no—
165C22×C4×C83—28no—
166C22×C4×C83—22no—
167C22×C4×C83—22no—
168C22×C4×C83—22no—
169C22×C4×C83—21no—
170C22×C4×C83—22no—
171C22×C4×C83—22no—
172C22×C4×C83—22no—
173C22×C4×C83—22no—
174C22×C4×C83—21no—
175C22×C4×C83—22no—
176C22×C4×C83—22no—
177C22×C4×C83—22no—
178C22×C4×C83—22no—
179C22×C4×C83—22no—
180C22×C4×C83—22no—
181C22×C4×C83—22no—
182C22×C4×C83—28no—
183C22×C4×C83—44no—
184C22×C4×C83—48no—
185C22×C4×C83—48no—
186C22×C4×C83C22×C414yes—
187C22×C4×C83C22×C414yes—
188C22×C4×C83C22×C412yes—
189C22×C4×C83C22×C412yes—
190C22×C4×C83C2×D412yes—
191C22×C4×C83#4112yes—
192C22⋊C4×C83—216no—
193C23×C83—22no—
194C23×C83—24no—
195C23×C83—24no—
196C23×C83—22no—
197C23×C83—22no—
198C23×C83—24no—
199C23×C83—24no—
200C23×C83—22no—
201C23×C83—22no—
202C23×C83—24no—
203C23×C83—24no—
204C23×C83—22no—
205C23×C83—22no—
206C23×C83—24no—
207C23×C83—24no—
208C23×C83—24no—
209C23×C83—24no—
210C23×C83—22no—
211C23×C83C2×C4214yes—
212C23×C83C2×C4⋊C414yes—
213C23×C83#11714yes—
214C23×C83C4×D418yes—
215C23×C83C4×Q818yes—
216C23×C83C23×C411yescharacteristic
217C23×C83C23×C412yes—
218C23×C83C22×D411yescharacteristic
219C23×C83C22×D411yescharacteristic
220C23×C83C22×Q811yescharacteristic
221C23×C83C2×#4112yes—
222C23×C83C2×#4112yes—
223C23×C83C2×#4111yescharacteristic
224C23×C83H(5,𝔽2)12yes—
225C23×C83H(5,𝔽2)11yescharacteristic
226C23×C832−1+411yescharacteristic
227C2×C4×C83—22no—
228C2×C4×C83—22no—
229C2×C4×C83—24no—
230C2×C4×C83—24no—
231C2×C4×C83—22no—
232C2×C4×C83—24no—
233C2×C4×C83—24no—
234C2×C4×C83—22no—
235C2×C4×C83—24no—
236C2×C4×C83—24no—
237C2×C4×C83—22no—
238C2×C4×C83—24no—
239C2×C4×C83—24no—
240C2×C4×C83—416no—
241C2×C4×C83—42no—
242C2×C4×C83—42no—
243C2×C4×C83—42no—
244C2×C4×C83—42no—
245C2×C4×C83—42no—
246C2×C4×C83—42no—
247C2×C4×C83—42no—
248C2×C4×C83—42no—
249C2×C4×C83—42no—
250C2×C4×C83—42no—
251C2×C4×C83C4×D414yes—
252C2×Dic83—22no—
253C2×Dic83—22no—
254C2×Dic83—24no—
255C2×Dic83—24no—
256C2×Dic83—24no—
257C2×Dic83—22no—
258C2×Dic83—22no—
259C2×Dic83—22no—
260C2×Dic83—22no—
261C2×Dic83—24no—
262C2×Dic83—24no—
263C2×Dic83—24no—
264C2×Dic83—22no—
265C2×Dic83—22no—
266C2×Dic83—22no—
267C2×Dic83—24no—
268C2×Dic83—24no—
269C2×Dic83—24no—
270C2×Dic83—24no—
271C2×Dic83—22no—
272C2×Dic83—22no—
273C2×Dic83—24no—
274C2×Dic83—24no—
275C2×Dic83—22no—
276C2×Dic83—24no—
277C2×Dic83—24no—
278C2×Dic83—24no—
279C2×Dic83—432no—
280C2×Dic83—42no—
281C2×Dic83—42no—
282C2×Dic83—42no—
283C2×Dic83—42no—
284C2×Dic83C2×C4214yes—
285C2×Dic83C2×C4214yes—
286C2×Dic83C2×C4⋊C414yes—
287C2×Dic83C2×C4⋊C414yes—
288C2×Dic83C4×D418yes—
289C22×C83—24no—
290C22×C83—24no—
291C22×C83—24no—
292C22×C83—24no—
293C22×C83—28no—
294C22×C83—28no—
295C22×C83—28no—
296C22×C83—28no—
297C22×C83—24no—
298C22×C83—24no—
299C22×C83C4×C4⋊C418yescomplemented
300C22×C83C22×C4211yescharacteristic
301C22×C83C22×C4⋊C411yescharacteristic
302C22×C83C2×#11711yescharacteristic
303C22×C83C2×C4×D412yes—
304C22×C83C2×C4×D411yescharacteristic
305C22×C83C2×C4×D412yes—
306C22×C83C2×C4×Q812yes—
307C22×C83C4×#4112yes—
308C22×C83C4×#4111yescharacteristic
309C22×C83#51812yes—
310C22×C83#51811yescharacteristic
311C22×C83#52012yes—
312C22×C83#52011yescharacteristic
313C22×C83D4211yescharacteristic
314C22×C83#54612yes—
315C22×C83#54612yes—
316C22×C83#54711yescharacteristic
317C22×C83D4×Q811yescharacteristic
318C22×C83#55112yes—
319C22×C83#55112yes—
320C22×C83#55212yes—
321C22×C83#55412yes—
322C22×C83#55411yescharacteristic
323C4×C83—24no—
324C4×C83—42no—
325C4×C83—44no—
326C4×C83—44no—
327Dic83—24no—
328Dic83—24no—
329Dic83—28no—
330Dic83—24no—
331Dic83—24no—
332Dic83—44no—
333#13814—831nomaximal, Sylow
334C2×C83—28no—
335C2×C83C2×C4×C4⋊C411yescharacteristic
336C2×C83C42×D411yescharacteristic
337C2×C83#227511yescharacteristic
338C2×C83#234211yescharacteristic
339C2×C83#234311yescharacteristic
340C2×C83D4×C4⋊C411yescharacteristic
341C2×C83#234911yescharacteristic
342C2×C83#235812yes—
343C2×C83#235912yes—
344C2×C83#236012yes—
345C2×C83#236812yes—
346C2×#385—832no—
347C2×C4×C4⋊C4—831no—
348C2×C4×C22⋊C4—831no—
349C2×C4×C22⋊C4—832no—
350C22×#95—831no—
351#1436—832no—
352#1436—832no—
353C4⋊#95—831no—
354#1434—831no—
355C22⋊#95D8311yescharacteristic
356C4×#95—831no—
357C83#1381411yescharacteristic, complemented, Sylow
358C24×C4—832no—
359C24×C4C2×D8311yescharacteristic
360C22×C4⋊C4—832no—
361C22×C4⋊C4—832no—
362C22×C22⋊C4—831no—
363C22×C22⋊C4—831no—
364C22×C22⋊C4C2×D8312yes—
365C22×C42—831no—
366C22×C42—832no—
367C22×C42—832no—
368C22×C42—831no—
369#385—8316no—
370C4×C4⋊C4—1664no—
371C4×C22⋊C4—838no—
372C4×C22⋊C4—1668no—
373C2×#95—832no—
374C2×#95—831no—
375C2×#95—832no—
376C2×#95—831no—
377C2×#95—831no—
378C2×#95—831no—
379C2×#95—832no—
380C2×#95—832no—
381C2×#95—832no—
382C2×#95—1664no—
383C2×#95C2×D8311yescharacteristic
384C2×#95C2×D8311yescharacteristic
385C2×#95C2×D8312yes—
386C25C22×D8311yescharacteristic
387C23×C4—24no—
388C23×C4—22no—
389C23×C4—22no—
390C23×C4—42no—
391C23×C4—3322no—
392C23×C4—3322no—
393C23×C4—838no—
394C23×C4—831no—
395C23×C4—831no—
396C23×C4—831no—
397C23×C4—831no—
398C23×C4—832no—
399C23×C4—832no—
400C23×C4—1664no—
401C23×C4—1664no—
402C23×C4—1664no—
403C23×C4—1664no—
404C23×C4C4×D8314yes—
405C23×C4C22×D8312yes—
406C23×C4C22×D8312yes—
407C23×C4C22×D8311yescharacteristic
408C23×C4C22×D8311yescharacteristic
409C2×C4⋊C4—3322no—
410C2×C4⋊C4—3322no—
411C2×C4⋊C4—838no—
412C2×C4⋊C4—838no—
413C2×C4⋊C4—1664no—
414C2×C4⋊C4—1664no—
415C2×C22⋊C4—24no—
416C2×C22⋊C4—24no—
417C2×C22⋊C4—834no—
418C2×C22⋊C4—834no—
419C2×C22⋊C4—838no—
420C2×C22⋊C4—834no—
421C2×C22⋊C4—834no—
422C2×C22⋊C4C4×D8318yes—
423C2×C42—3322no—
424C2×C42—3322no—
425C2×C42—3322no—
426C2×C42—834no—
427C2×C42—834no—
428C2×C42—1664no—
429C2×C42—1664no—
430C2×C42—1664no—
431C2×C42—1664no—
432C2×C42—1662no—
433C2×C42—1662no—
434#95—22no—
435#95—22no—
436#95—42no—
437#95—834no—
438#95—834no—
439#95—838no—
440#95—838no—
441#95—834no—
442#95—1664no—
443#95—1664no—
444#95—1664no—
445#95—1662no—
446C24—21no—
447C24—22no—
448C24—21no—
449C24—22no—
450C24—21no—
451C24—21no—
452C24C2×C4×D8312yes—
453C24C2×C4×D8314yes—
454C24D4×D8312yes—
455C24Q8×D8312yes—
456C24#1305058914yes—
457C24C23×D8311yescharacteristic
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—28no—
477C22×C4—28no—
478C22×C4—44no—
479C22×C4—48no—
480C22×C4—48no—
481C22×C4—3328no—
482C22×C4—3328no—
483C22×C4—3328no—
484C22×C4—3328no—
485C22×C4—3328no—
486C22×C4—832no—
487C22×C4—832no—
488C22×C4—832no—
489C22×C4—832no—
490C22×C4—834no—
491C22×C4—834no—
492C22×C4—834no—
493C22×C4—834no—
494C22×C4—832no—
495C22×C4—832no—
496C22×C4—832no—
497C22×C4—832no—
498C22×C4—834no—
499C22×C4—834no—
500C22×C4—16616no—
501C22×C4—1662no—
502C22×C4—1662no—
503C22×C4—1662no—
504C22×C4—1662no—
505C22×C4—1662no—
506C22×C4—1662no—
507C22×C4—16616no—
508C22×C4—1661no—
509C22×C4—1662no—
510C22×C4—1661no—
511C22×C4—1662no—
512C22×C4—1662no—
513C22×C4—1661no—
514C22×C4—1661no—
515C22×C4—1662no—
516C22×C4—1662no—
517C22×C4—1662no—
518C22×C4—1662no—
519C22×C4—1661no—
520C22×C4—1662no—
521C22×C4—1661no—
522C22×C4—1661no—
523C22×C4—1661no—
524C22×C4C2×C4×D8314yes—
525C22×C4C2×C4×D8312yes—
526C22×C4C2×C4×D8314yes—
527C22×C4C2×C4×D8312yes—
528C22×C4D4×D8312yes—
529C22×C4#1305058912yes—
530C4⋊C4—3328no—
531C4⋊C4—16616no—
532C22⋊C4—216no—
533C22⋊C4—8316no—
534C22⋊C4—8316no—
535C42—3324no—
536C42—3328no—
537C42—3328no—
538C42—1668no—
539C23—22no—
540C23—24no—
541C23—24no—
542C23—22no—
543C23—22no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—24no—
548C23—22no—
549C23—24no—
550C23—22no—
551C23—24no—
552C23—22no—
553C23—24no—
554C23—22no—
555C23—24no—
556C23—22no—
557C23C42×D8314yes—
558C23C4⋊C4×D8314yes—
559C23#1458174814yes—
560C23(C22⋊D83)⋊C418yes—
561C23#1458175718yes—
562C23C22×C4×D8311yescharacteristic
563C23C22×C4×D8312yes—
564C23C2×D4×D8311yescharacteristic
565C23C2×D4×D8311yescharacteristic
566C23C2×Q8×D8311yescharacteristic
567C23#41×D8312yes—
568C23C2×#1305058912yes—
569C23C2×#1305058911yescharacteristic
570C23#1458183712yes—
571C23#1458183811yescharacteristic
572C23#1458183911yescharacteristic
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—416no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—3322no—
598C2×C4—3322no—
599C2×C4—3322no—
600C2×C4—3322no—
601C2×C4—33232no—
602C2×C4—834no—
603C2×C4—834no—
604C2×C4—834no—
605C2×C4—834no—
606C2×C4—838no—
607C2×C4—1664no—
608C2×C4—1664no—
609C2×C4—1664no—
610C2×C4—1662no—
611C2×C4—1664no—
612C2×C4—1664no—
613C2×C4—1664no—
614C2×C4—1664no—
615C2×C4—1662no—
616C2×C4—1662no—
617C2×C4—1664no—
618C2×C4—1664no—
619C2×C4—1662no—
620C2×C4—1664no—
621C2×C4—1662no—
622C2×C4—1662no—
623C2×C4—1664no—
624C2×C4—1664no—
625C2×C4—1662no—
626C2×C4—1662no—
627C2×C4—1664no—
628C2×C4—1664no—
629C2×C4—1662no—
630C2×C4—1662no—
631C2×C4—1664no—
632C2×C4—1662no—
633C2×C4—1662no—
634C2×C4(C22⋊D83)⋊C414yes—
635C22—24no—
636C22—24no—
637C22—28no—
638C22—28no—
639C22—28no—
640C22—28no—
641C22—24no—
642C22—24no—
643C22—24no—
644C22—24no—
645C22#1912755218yescomplemented
646C22C2×C42×D8311yescharacteristic
647C22C2×C4⋊C4×D8311yescharacteristic
648C22C2×#1458174811yescharacteristic
649C22C4×D4×D8312yes—
650C22C2×(C22⋊D83)⋊C411yescharacteristic
651C22C2×(C22⋊D83)⋊C412yes—
652C22C2×#1458175712yes—
653C22C4×#1305058912yes—
654C22#1912816911yescharacteristic
655C22#1912817312yes—
656C22#1912817411yescharacteristic
657C22#1912818012yes—
658C22#1912818111yescharacteristic
659C22#1912833511yescharacteristic
660C22#1912833812yes—
661C22#1912834012yes—
662C22#1912835111yescharacteristic
663C22#1912836411yescharacteristic
664C22#1912837412yes—
665C22#1912838212yes—
666C22#1912838812yes—
667C22#1912840512yes—
668C22#1912840911yescharacteristic
669C4—24no—
670C4—44no—
671C4—44no—
672C4—42no—
673C4—3324no—
674C4—1664no—
675C4—1664no—
676C4—1668no—
677C4—1664no—
678C4—1664no—
679C2—28no—
680C2C2×#1912755211yescharacteristic
681C2C4×(C22⋊D83)⋊C411yescharacteristic
682C2#2490982211yescharacteristic
683C2#2491031411yescharacteristic
684C2#2491032511yescharacteristic
685C2#2491035911yescharacteristic
686C2#2491036711yescharacteristic
687C2#2491044312yes—
688C2#2491046112yes—
689C2#2491046312yes—
690C2#2491054412yes—
subgroupG/H
center, FrattiniC24C23×D83
commutatorC22×C83C22×C42
FittingC83×C22⋊#95C2
socle, cosocleC24×C83C24
prime radicalC25×C83C23
hypercenterC22⋊#95D83
hypocenterC83#13814
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
2. C2×#19127552C2semidirect
6. #24905698C2semidirect
7. #24905694C2semidirect
8. Dic83⋊#95C2semidirect
9. #24905687C2semidirect
10. #95×Dic83C2semidirect
21. #19127573C4semidirect
24. C4×C22⋊Dic83C4semidirect
57. C2×Dic83⋊C4C2×C4semidirect
58. C2×Dic83⋊C4C2×C4semidirect
73. C2×C4×Dic83C2×C4semidirect
74. C2×C4×Dic83C2×C4semidirect
79. C83⋊#95C2×C4semidirect
80. C83⋊#95C2×C4semidirect
81. C83⋊#95C2×C4semidirect
82. C83⋊#95C2×C4semidirect
145. C22⋊Dic83C42semidirect
146. C22⋊Dic83C4⋊C4semidirect
299. C22×C83C4×C4⋊C4semidirect
357. C83#13814semidirect
645. C22#19127552semidirect

Maximal subgroups

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

subgroupindex
C2×#191275732
C2×#191275522
C2×C22⋊C4×Dic832
C2×C4×C22⋊Dic832
C22×C83⋊#952
#249056982
#249056942
Dic83⋊#952
#249056872
#95×Dic832
C83×C22⋊#952
#1381483