Finite Group Databasebeta

← C2×#339×D83 #35401784

Subgroups — C2×#339×D83 #35401784

Order 21248.

2830 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
1C22×M16×D83C211yesmaximal, characteristic
2C2×#117×D83C211yesmaximal, characteristic
3C22×C42×D83C211yesmaximal, characteristic
4C2×#19127462C211yesmaximal, characteristic, complemented
5C2×#19127461C211yesmaximal, characteristic, complemented
6C2×#19127460C211yesmaximal, characteristic, complemented
7#339×D83C218yesmaximal, direct product factor
8C2×#339×C83C211yesmaximal, characteristic, complemented
9C23×C4×D83—21no—
10C23×C4×D83C2211yescharacteristic
11C22×#13050574C2211yescharacteristic
12C22×#13050573—21no—
13C2×M16×D83—24no—
14C2×M16×D83—22no—
15C2×M16×D83C418yescomplemented
16C2×M16×D83C2214yes—
17C22×C8×D83—21no—
18C2×#14581751C2211yescharacteristic
19C2×#14581750C412yescomplemented
20C2×#14581749—21no—
21C2×#14581748—21no—
22#117×D83—22no—
23#117×D83—22no—
24#117×D83C414yescomplemented
25#117×D83C2214yes—
26C2×C4⋊C4×D83C412yescomplemented
27C2×C22⋊C4×D83—21no—
28C22×C4×Dic83—21no—
29C22×C4×Dic83C2211yescharacteristic
30C2×C42×D83—24no—
31C2×C42×D83—22no—
32C2×C42×D83—21no—
33C2×C42×D83C418yescomplemented
34C2×C42×D83C2214yes—
35#19127462C2214yescomplemented
36#19127461C2214yescomplemented
37#19127460C2214yescomplemented
38C22×M16×C83C2211yescharacteristic
39C2×#117×C83C2211yescharacteristic
40C22×C42×C83C2211yescharacteristic
41#339×C83C2214yescomplemented
42C24×D83D411yescharacteristic
43C23×Dic83—21no—
44C23×Dic83D411yescharacteristic
45C22×C4×D83—216no—
46C22×C4×D83—28no—
47C22×C4×D83—24no—
48C22×C4×D83—22no—
49C22×C4×D83C2×C414yes—
50C22×C4×D83C2×C414yes—
51C22×C4×D83C2×C411yescharacteristic
52C22×C4×D83C2×C412yes—
53C22×C4×D83C2×C411yescharacteristic
54C22×C4×D83D412yes—
55C22×C4×D83D411yescharacteristic
56C22×C4×D83D414yes—
57C22×C4×D83D412yes—
58C22×C4×D83D411yescharacteristic
59C22×C4×D83Q814yes—
60C22×C4×D83C2312yes—
61C2×#13050574—22no—
62C2×#13050574—21no—
63C2×#13050574C2×C414yescomplemented
64C2×#13050574C2312yes—
65C2×#13050573—28no—
66C2×#13050573—24no—
67M16×D83—216no—
68M16×D83—28no—
69M16×D83C2×C4116yescomplemented
70C22×C83⋊C8—21no—
71C2×C8×D83—28no—
72C2×C8×D83—24no—
73#14581751—21no—
74#14581751—21no—
75#14581751C2×C412yescomplemented
76#14581751C2312yes—
77#14581750—24no—
78#14581750C2×C418yescomplemented
79#14581749—24no—
80#14581749—24no—
81#14581748—24no—
82#14581748—24no—
83C2×C4⋊Dic83C2×C412yescomplemented
84C2×Dic83⋊C4—22no—
85C4⋊C4×D83—24no—
86C4⋊C4×D83C2×C418yescomplemented
87C2×C22⋊Dic83—21no—
88C2×(C2×D83)⋊C4—22no—
89C22⋊C4×D83—24no—
90C22⋊C4×D83—24no—
91C2×C4×Dic83—28no—
92C2×C4×Dic83—22no—
93C2×C4×Dic83—24no—
94C2×C4×Dic83—21no—
95C2×C4×Dic83—22no—
96C2×C4×Dic83—21no—
97C2×C4×Dic83C2×C414yescomplemented
98C2×C4×Dic83C2312yes—
99C42×D83—216no—
100C42×D83—24no—
101C42×D83—28no—
102C42×D83—24no—
103C42×D83C2×C4116yescomplemented
104C23×C4×C83—21no—
105C23×C4×C83C2311yescharacteristic
106C2×M16×C83—22no—
107C2×M16×C83—21no—
108C2×M16×C83C2×C414yescomplemented
109C2×M16×C83C2312yes—
110C22×C8×C83—21no—
111#117×C83—21no—
112#117×C83—21no—
113#117×C83C2×C412yescomplemented
114#117×C83C2312yes—
115C2×C4⋊C4×C83C2×C412yescomplemented
116C2×C22⋊C4×C83—21no—
117C2×C42×C83—21no—
118C2×C42×C83—22no—
119C2×C42×C83—21no—
120C2×C42×C83C2×C414yescomplemented
121C2×C42×C83C2312yes—
122C23×D83—28no—
123C23×D83C22⋊C414yes—
124C23×D83C22⋊C412yes—
125C23×D83C22⋊C411yescharacteristic
126C23×D83C22⋊C411yescharacteristic
127C23×D83C4⋊C414yes—
128C23×D83C2×D412yes—
129C22×Dic83—28no—
130C22×Dic83—24no—
131C22×Dic83—22no—
132C22×Dic83—22no—
133C22×Dic83C22⋊C414yes—
134C22×Dic83C22⋊C411yescharacteristic
135C22×Dic83C22⋊C411yescharacteristic
136C22×Dic83C22⋊C412yes—
137C22×Dic83C4⋊C414yes—
138C22×Dic83C2×D412yes—
139C2×C4×D83—264no—
140C2×C4×D83—232no—
141C2×C4×D83—216no—
142C2×C4×D83—28no—
143C2×C4×D83—48no—
144C2×C4×D83C4218yes—
145C2×C4×D83C4214yes—
146C2×C4×D83C4214yes—
147C2×C4×D83C22⋊C418yes—
148C2×C4×D83C22⋊C412yes—
149C2×C4×D83C22⋊C412yes—
150C2×C4×D83C22⋊C412yes—
151C2×C4×D83C22⋊C412yes—
152C2×C4×D83C22⋊C414yes—
153C2×C4×D83C22⋊C418yes—
154C2×C4×D83C22⋊C414yes—
155C2×C4×D83C4⋊C418yes—
156C2×C4×D83C4⋊C418yes—
157C2×C4×D83C4⋊C414yes—
158C2×C4×D83C4⋊C418yes—
159C2×C4×D83C4⋊C414yes—
160C2×C4×D83C4⋊C414yes—
161C2×C4×D83C4⋊C414yes—
162C2×C4×D83C22×C414yes—
163C2×C4×D83C22×C414yes—
164C2×C4×D83C22×C412yes—
165C2×C4×D83C22×C412yes—
166C2×C4×D83C2×D412yes—
167C2×C4×D83C2×D414yes—
168C2×C4×D83C2×D412yes—
169C2×C4×D83C2×Q814yes—
170#13050574—24no—
171#13050574—22no—
172#13050574C22×C414yescomplemented
173#13050573—216no—
174C2×C83⋊C8—24no—
175C2×C83⋊C8—22no—
176C8×D83—216no—
177C4⋊Dic83—22no—
178C4⋊Dic83C22×C414yescomplemented
179Dic83⋊C4—28no—
180C22⋊Dic83—22no—
181C22⋊Dic83—22no—
182(C2×D83)⋊C4—28no—
183C4×Dic83—24no—
184C4×Dic83—22no—
185C4×Dic83—22no—
186C4×Dic83—22no—
187C4×Dic83—216no—
188C4×Dic83—28no—
189C4×Dic83C22×C414yescomplemented
190C24×C83C2×D411yescharacteristic
191C22×C4×C83—28no—
192C22×C4×C83—24no—
193C22×C4×C83—22no—
194C22×C4×C83—22no—
195C22×C4×C83C22×C412yes—
196C22×C4×C83C22×C412yes—
197C22×C4×C83C22×C411yescharacteristic
198C22×C4×C83C22×C411yescharacteristic
199C22×C4×C83C2×D411yescharacteristic
200C22×C4×C83C2×D412yes—
201C22×C4×C83C2×D411yescharacteristic
202C22×C4×C83C2×D411yescharacteristic
203C22×C4×C83C2×Q812yes—
204C22×C4×C83C2411yescharacteristic
205M16×C83—24no—
206M16×C83—22no—
207M16×C83C22×C414yescomplemented
208C2×C8×C83—24no—
209C2×C8×C83—22no—
210C4⋊C4×C83—22no—
211C4⋊C4×C83C22×C414yescomplemented
212C22⋊C4×C83—22no—
213C22⋊C4×C83—22no—
214C42×C83—24no—
215C42×C83—22no—
216C42×C83—22no—
217C42×C83—22no—
218C42×C83C22×C414yescomplemented
219C23×C83—24no—
220C23×C83C2×C22⋊C411yescharacteristic
221C23×C83C2×C22⋊C412yes—
222C23×C83C2×C22⋊C411yescharacteristic
223C23×C83C2×C4⋊C412yes—
224C23×C83C22×D411yescharacteristic
225C22×D83—24no—
226C22×D83—216no—
227C22×D83—216no—
228C22×D83—28no—
229C22×D83—28no—
230C22×D83#9514yes—
231C22×D83#9518yes—
232C22×D83#9514yes—
233C22×D83#10418yes—
234C22×D83C2×C22⋊C412yes—
235C22×D83C2×C22⋊C414yes—
236C22×D83C2×C22⋊C412yes—
237C22×D83C2×C4⋊C414yes—
238C2×C4×C83—28no—
239C2×C4×C83—216no—
240C2×C4×C83—24no—
241C2×C4×C83—24no—
242C2×C4×C83—44no—
243C2×C4×C83C2×C4212yes—
244C2×C4×C83C2×C4212yes—
245C2×C4×C83C2×C22⋊C412yes—
246C2×C4×C83C2×C22⋊C412yes—
247C2×C4×C83C2×C22⋊C412yes—
248C2×C4×C83C2×C22⋊C411yescharacteristic
249C2×C4×C83C2×C22⋊C411yescharacteristic
250C2×C4×C83C2×C4⋊C412yes—
251C2×C4×C83C2×C4⋊C412yes—
252C2×C4×C83C2×C4⋊C412yes—
253C2×C4×C83C2×C4⋊C412yes—
254C2×C4×C83C2×C4⋊C412yes—
255C2×C4×C83C23×C411yescharacteristic
256C2×C4×C83C23×C411yescharacteristic
257C2×C4×C83C23×C411yescharacteristic
258C2×C4×C83C22×D411yescharacteristic
259C2×C4×C83C22×D411yescharacteristic
260C2×C4×C83C22×Q811yescharacteristic
261C2×Dic83—28no—
262C2×Dic83—216no—
263C2×Dic83—24no—
264C2×Dic83—24no—
265C2×Dic83—44no—
266C2×Dic83#9518yes—
267C2×Dic83#9514yes—
268C2×Dic83#9514yes—
269C2×Dic83C2×C22⋊C414yes—
270C2×Dic83C2×C22⋊C412yes—
271C2×Dic83C2×C22⋊C412yes—
272C2×Dic83C2×C4⋊C414yes—
273C4×D83—264no—
274C4×D83—416no—
275C4×D83#9518yes—
276C4×D83#9518yes—
277C4×D83#9518yes—
278C4×D83#9518yes—
279C4×D83C2×C4214yes—
280C4×D83C2×C4214yes—
281C4×D83C2×C22⋊C414yes—
282C4×D83C2×C22⋊C414yes—
283C4×D83C2×C4⋊C414yes—
284C4×D83C2×C4⋊C414yes—
285C4×D83C2×C4⋊C414yes—
286C4×D83C2×C4⋊C414yes—
287C8×C83—24no—
288C83⋊C8—24no—
289C22×C83—22no—
290C22×C83—22no—
291C22×C83—24no—
292C22×C83—24no—
293C22×C83C2×#9512yes—
294C22×C83C2×#9512yes—
295C22×C83C2×#10414yes—
296C22×C83C22×C22⋊C411yescharacteristic
297C22×C83C22×C22⋊C411yescharacteristic
298C22×C83C22×C4⋊C411yescharacteristic
299C2×D83—24no—
300C2×D83—28no—
301C2×D83—28no—
302C2×D83—216no—
303C2×D83—28no—
304C2×D83#339116yesdirect product factor
305C2×D83C2×#9514yes—
306C2×D83C2×#9514yes—
307C2×D83C2×#10418yes—
308C4×C83—28no—
309C4×C83—44no—
310C4×C83C2×#9512yes—
311C4×C83C2×#9512yes—
312C4×C83C22×C4211yescharacteristic
313C4×C83C22×C22⋊C411yescharacteristic
314C4×C83C22×C4⋊C411yescharacteristic
315C4×C83C22×C4⋊C411yescharacteristic
316Dic83—28no—
317Dic83—44no—
318Dic83C2×#9514yes—
319Dic83C2×#9514yes—
320C22×#339—831nomaximal, Sylow
321C2×C83—21no—
322C2×C83—21no—
323C2×C83—22no—
324C2×C83C2×#33914yescomplemented
325C2×C83C22×#9511yescharacteristic
326C2×C83C22×#10412yes—
327D83—24no—
328D83C2×#33918yesdirect product factor
329C23×M16—831no—
330C22×#117—831no—
331C23×C42—831no—
332C2×#339—831no—
333C2×#339—838no—
334C2×#339—831no—
335C2×#339—831no—
336C2×#339D8311yescharacteristic, direct product factor
337C83C22×#33911yescharacteristic, complemented, Sylow
338C24×C4—831no—
339C24×C4—1661no—
340C22×M16—831no—
341C22×M16—838no—
342C22×M16—834no—
343C22×M16—1661no—
344C22×M16—1662no—
345C22×M16—1664no—
346C22×M16C2×D8311yescharacteristic
347C23×C8—1661no—
348C2×#117—831no—
349C2×#117—834no—
350C2×#117—834no—
351C2×#117—832no—
352C2×#117—1661no—
353C2×#117—1661no—
354C2×#117—1662no—
355C2×#117—1662no—
356C2×#117C2×D8311yescharacteristic
357C22×C4⋊C4—832no—
358C22×C22⋊C4—1661no—
359C22×C42—831no—
360C22×C42—838no—
361C22×C42—834no—
362C22×C42—1662no—
363C22×C42—1664no—
364C22×C42—1661no—
365C22×C42—1661no—
366C22×C42C2×D8311yescharacteristic
367#339—834no—
368#339—834no—
369#339—834no—
370#339C2×D8314yesdirect product factor
371C25—831no—
372C23×C4—21no—
373C23×C4—831no—
374C23×C4—831no—
375C23×C4—831no—
376C23×C4—832no—
377C23×C4—834no—
378C23×C4—834no—
379C23×C4—832no—
380C23×C4—832no—
381C23×C4—834no—
382C23×C4—831no—
383C23×C4—831no—
384C23×C4—834no—
385C23×C4—832no—
386C23×C4—1662no—
387C23×C4—1664no—
388C23×C4—1668no—
389C23×C4—16616no—
390C23×C4—1661no—
391C23×C4C22×D8311yescharacteristic
392C2×M16—21no—
393C2×M16—22no—
394C2×M16—834no—
395C2×M16—832no—
396C2×M16—8316no—
397C2×M16—1664no—
398C2×M16—1668no—
399C2×M16—1668no—
400C2×M16—16616no—
401C2×M16—1661no—
402C2×M16—1662no—
403C2×M16C4×D8314yescomplemented
404C2×M16C22×D8312yes—
405C22×C8—21no—
406C22×C8—1664no—
407C22×C8—1668no—
408C22×C8—1661no—
409#117—21no—
410#117—21no—
411#117—832no—
412#117—832no—
413#117—838no—
414#117—1664no—
415#117—1664no—
416#117—1664no—
417#117—1664no—
418#117—1664no—
419#117—1661no—
420#117—1661no—
421#117C4×D8312yescomplemented
422#117C22×D8312yes—
423C2×C4⋊C4—832no—
424C2×C4⋊C4—838no—
425C2×C4⋊C4—1664no—
426C2×C4⋊C4—1662no—
427C2×C4⋊C4C4×D8312yescomplemented
428C2×C22⋊C4—21no—
429C2×C22⋊C4—1664no—
430C2×C22⋊C4—1664no—
431C2×C22⋊C4—1662no—
432C2×C22⋊C4—1661no—
433C2×C42—22no—
434C2×C42—21no—
435C2×C42—21no—
436C2×C42—834no—
437C2×C42—832no—
438C2×C42—8316no—
439C2×C42—1664no—
440C2×C42—1664no—
441C2×C42—1668no—
442C2×C42—16616no—
443C2×C42—1662no—
444C2×C42—1664no—
445C2×C42—1668no—
446C2×C42—1662no—
447C2×C42—1661no—
448C2×C42—1661no—
449C2×C42C4×D8314yescomplemented
450C2×C42C22×D8312yes—
451C24—831no—
452C24—832no—
453C24—832no—
454C24—831no—
455C24—834no—
456C24—834no—
457C24—1668no—
458C24D4×D8311yescharacteristic
459C22×C4—28no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—3328no—
464C22×C4—832no—
465C22×C4—834no—
466C22×C4—831no—
467C22×C4—831no—
468C22×C4—832no—
469C22×C4—834no—
470C22×C4—834no—
471C22×C4—832no—
472C22×C4—832no—
473C22×C4—834no—
474C22×C4—832no—
475C22×C4—834no—
476C22×C4—832no—
477C22×C4—834no—
478C22×C4—834no—
479C22×C4—838no—
480C22×C4—834no—
481C22×C4—838no—
482C22×C4—832no—
483C22×C4—832no—
484C22×C4—832no—
485C22×C4—832no—
486C22×C4—834no—
487C22×C4—838no—
488C22×C4—834no—
489C22×C4—838no—
490C22×C4—834no—
491C22×C4—838no—
492C22×C4—834no—
493C22×C4—838no—
494C22×C4—834no—
495C22×C4—834no—
496C22×C4—1668no—
497C22×C4—16616no—
498C22×C4—16632no—
499C22×C4—16664no—
500C22×C4—1662no—
501C22×C4—1668no—
502C22×C4—1662no—
503C22×C4—1664no—
504C22×C4C2×C4×D8312yes—
505C22×C4C2×C4×D8312yes—
506C22×C4C2×C4×D8311yescharacteristic
507C22×C4C2×C4×D8311yescharacteristic
508C22×C4D4×D8312yes—
509C22×C4D4×D8311yescharacteristic
510C22×C4D4×D8311yescharacteristic
511C22×C4D4×D8311yescharacteristic
512C22×C4Q8×D8312yes—
513C22×C4C23×D8311yescharacteristic
514M16—22no—
515M16—24no—
516M16—834no—
517M16—16616no—
518M16—1662no—
519M16—1664no—
520M16C2×C4×D8314yescomplemented
521C2×C8—22no—
522C2×C8—24no—
523C2×C8—16616no—
524C2×C8—1662no—
525C2×C8—1664no—
526C4⋊C4—22no—
527C4⋊C4—834no—
528C4⋊C4—1668no—
529C4⋊C4—1662no—
530C4⋊C4C2×C4×D8314yescomplemented
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4—1668no—
534C22⋊C4—1662no—
535C22⋊C4—1662no—
536C42—22no—
537C42—22no—
538C42—24no—
539C42—22no—
540C42—834no—
541C42—16616no—
542C42—1668no—
543C42—1662no—
544C42—1662no—
545C42—1664no—
546C42—1662no—
547C42C2×C4×D8314yescomplemented
548C23—24no—
549C23—832no—
550C23—838no—
551C23—834no—
552C23—832no—
553C23—834no—
554C23—834no—
555C23—838no—
556C23—834no—
557C23—1668no—
558C23—16616no—
559C23—1668no—
560C23—16616no—
561C23—1664no—
562C23C22⋊C4×D8311yescharacteristic
563C23C22⋊C4×D8312yes—
564C23C22⋊C4×D8311yescharacteristic
565C23C4⋊C4×D8312yes—
566C23C2×D4×D8311yescharacteristic
567C2×C4—28no—
568C2×C4—216no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—44no—
572C2×C4—33216no—
573C2×C4—3324no—
574C2×C4—834no—
575C2×C4—832no—
576C2×C4—832no—
577C2×C4—834no—
578C2×C4—838no—
579C2×C4—834no—
580C2×C4—834no—
581C2×C4—834no—
582C2×C4—834no—
583C2×C4—834no—
584C2×C4—834no—
585C2×C4—834no—
586C2×C4—834no—
587C2×C4—834no—
588C2×C4—834no—
589C2×C4—838no—
590C2×C4—838no—
591C2×C4—838no—
592C2×C4—838no—
593C2×C4—16664no—
594C2×C4—1664no—
595C2×C4—1668no—
596C2×C4—16616no—
597C2×C4—1664no—
598C2×C4C42×D8312yes—
599C2×C4C42×D8312yes—
600C2×C4C22⋊C4×D8312yes—
601C2×C4C22⋊C4×D8312yes—
602C2×C4C22⋊C4×D8312yes—
603C2×C4C22⋊C4×D8311yescharacteristic
604C2×C4C22⋊C4×D8311yescharacteristic
605C2×C4C4⋊C4×D8312yes—
606C2×C4C4⋊C4×D8312yes—
607C2×C4C4⋊C4×D8312yes—
608C2×C4C4⋊C4×D8312yes—
609C2×C4C4⋊C4×D8312yes—
610C2×C4C22×C4×D8311yescharacteristic
611C2×C4C22×C4×D8311yescharacteristic
612C2×C4C22×C4×D8311yescharacteristic
613C2×C4C2×D4×D8311yescharacteristic
614C2×C4C2×D4×D8311yescharacteristic
615C2×C4C2×Q8×D8311yescharacteristic
616C8—24no—
617C8—1664no—
618C22—22no—
619C22—22no—
620C22—24no—
621C22—24no—
622C22—838no—
623C22—8316no—
624C22—834no—
625C22—834no—
626C22—1668no—
627C22—1668no—
628C22—16616no—
629C22—1664no—
630C22—1668no—
631C22#95×D8312yes—
632C22#95×D8312yes—
633C22#104×D8314yes—
634C22C2×C22⋊C4×D8311yescharacteristic
635C22C2×C22⋊C4×D8311yescharacteristic
636C22C2×C4⋊C4×D8311yescharacteristic
637C4—28no—
638C4—44no—
639C4—3324no—
640C4—834no—
641C4—834no—
642C4—1668no—
643C4#95×D8312yes—
644C4#95×D8312yes—
645C4C2×C42×D8311yescharacteristic
646C4C2×C22⋊C4×D8311yescharacteristic
647C4C2×C4⋊C4×D8311yescharacteristic
648C4C2×C4⋊C4×D8311yescharacteristic
649C2—21no—
650C2—21no—
651C2—22no—
652C2—838no—
653C2—1664no—
654C2#339×D8314yesdirect product factor
655C2C2×#95×D8311yescharacteristic
656C2C2×#104×D8312yes—
subgroupG/H
centerC22×C4D4×D83
commutatorC4×C83C22×C42
FrattiniC22×C4C23×D83
FittingC2×#339×C83C2
socleC23×C83C2×C22⋊C4
prime radicalC24×D83D4
cosocleC22×C4×C83C24
hypercenterC2×#339D83
hypocenterC83C22×#339
LCSG ▷ C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C2×#339

Complements

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

NH ≅ G/Ntype
4. C2×#19127462C2semidirect
5. C2×#19127461C2semidirect
6. C2×#19127460C2semidirect
7. #339×D83C2direct (N × H)
8. C2×#339×C83C2semidirect
15. C2×M16×D83C4semidirect
19. C2×#14581750C4semidirect
24. #117×D83C4semidirect
26. C2×C4⋊C4×D83C4semidirect
33. C2×C42×D83C4semidirect
35. #19127462C22semidirect
36. #19127461C22semidirect
37. #19127460C22semidirect
41. #339×C83C22semidirect
63. C2×#13050574C2×C4semidirect
69. M16×D83C2×C4semidirect
75. #14581751C2×C4semidirect
78. #14581750C2×C4semidirect
83. C2×C4⋊Dic83C2×C4semidirect
86. C4⋊C4×D83C2×C4semidirect
97. C2×C4×Dic83C2×C4semidirect
103. C42×D83C2×C4semidirect
108. C2×M16×C83C2×C4semidirect
113. #117×C83C2×C4semidirect
115. C2×C4⋊C4×C83C2×C4semidirect
120. C2×C42×C83C2×C4semidirect
172. #13050574C22×C4semidirect
178. C4⋊Dic83C22×C4semidirect
189. C4×Dic83C22×C4semidirect
207. M16×C83C22×C4semidirect
211. C4⋊C4×C83C22×C4semidirect
218. C42×C83C22×C4semidirect
304. C2×D83#339direct (N × H)
324. C2×C83C2×#339semidirect
328. D83C2×#339direct (N × H)
336. C2×#339D83direct (N × H)
337. C83C22×#339semidirect
370. #339C2×D83direct (N × H)
403. C2×M16C4×D83semidirect
421. #117C4×D83semidirect
427. C2×C4⋊C4C4×D83semidirect
449. C2×C42C4×D83semidirect
520. M16C2×C4×D83semidirect
530. C4⋊C4C2×C4×D83semidirect
547. C42C2×C4×D83semidirect
654. C2#339×D83direct (N × H)

Maximal subgroups

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

subgroupindex
C22×M16×D832
C2×#117×D832
C22×C42×D832
C2×#191274622
C2×#191274612
C2×#191274602
#339×D832
C2×#339×C832
C22×#33983