Finite Group Databasebeta

← #35330997

Subgroups — #35330997

Order 21248.

2086 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14581769C211yesmaximal, characteristic
2C2×#19127559C211yesmaximal, characteristic
3C22×C83⋊#95C211yesmaximal, characteristic
4#24905733C212yesmaximal, complemented
5#24905729C212yesmaximal, complemented
6#24905715C212yesmaximal, complemented
7#24905714C212yesmaximal, complemented
8#24905686C211yesmaximal, characteristic
9#24905685C211yesmaximal, characteristic
10#24905685C211yesmaximal, characteristic
11C83×C22⋊#95C211yesmaximal, characteristic
12C23×Dic166C2211yescharacteristic
13C24×Dic83C2211yescharacteristic
14C24×Dic83C2211yescharacteristic
15C2×#14581769—24no—
16C2×#14581769—24no—
17C2×#14581769C418yescomplemented
18C22×C4⋊Dic83C2211yescharacteristic
19C22×Dic83⋊C4C2211yescharacteristic
20C22×Dic83⋊C4C2211yescharacteristic
21C22×Dic83⋊C4C2212yes—
22C22×C22⋊Dic83C2211yescharacteristic
23C22×C22⋊Dic83C2211yescharacteristic
24#19127559—24no—
25C2×C83⋊#95—24no—
26C2×C83⋊#95C2212yes—
27C2×C83⋊#95C2212yes—
28C2×C83⋊#95C2212yes—
29C2×C83⋊#95C2212yes—
30C2×C83⋊#95C2212yes—
31C2×C83⋊#95C2212yes—
32C2×C83⋊#95C2212yes—
33C2×C83⋊#95C2212yes—
34C2×C83⋊#95C2212yes—
35C24×C4×C83C2211yescharacteristic
36C22×C22⋊C4×C83C2211yescharacteristic
37C22×C22⋊C4×C83C2211yescharacteristic
38C2×#95×C83C2212yes—
39C2×#95×C83C2212yes—
40C22×Dic166—22no—
41C22×Dic166—22no—
42C22×Dic166—42no—
43C22×Dic166—42no—
44C22×Dic166C2×C414yescomplemented
45C23×Dic83—22no—
46C23×Dic83—22no—
47C23×Dic83—42no—
48C23×Dic83—42no—
49C23×Dic83—42no—
50C23×Dic83—42no—
51C23×Dic83C2×C414yes—
52C23×Dic83D414yes—
53C23×Dic83D414yes—
54C23×Dic83Q814yescomplemented
55C23×Dic83C2312yes—
56C23×Dic83C2311yescharacteristic
57C23×Dic83C2311yescharacteristic
58C23×Dic83C2312yes—
59C23×Dic83C2311yescharacteristic
60C23×Dic83C2311yescharacteristic
61#14581769—232no—
62C2×C4⋊Dic83—22no—
63C2×C4⋊Dic83—22no—
64C2×C4⋊Dic83C2×C414yescomplemented
65C2×Dic83⋊C4—22no—
66C2×Dic83⋊C4—22no—
67C2×Dic83⋊C4—22no—
68C2×Dic83⋊C4—22no—
69C2×Dic83⋊C4—24no—
70C2×Dic83⋊C4—42no—
71C2×Dic83⋊C4—42no—
72C2×Dic83⋊C4C2×C414yescomplemented
73C2×Dic83⋊C4C2×C414yescomplemented
74C2×C22⋊Dic83—22no—
75C2×C22⋊Dic83—22no—
76C2×C22⋊Dic83—22no—
77C2×C22⋊Dic83—22no—
78C2×C22⋊Dic83—22no—
79C2×C22⋊Dic83C2×C414yes—
80C83⋊#95—24no—
81C83⋊#95—24no—
82C83⋊#95—24no—
83C83⋊#95—42no—
84C83⋊#95—42no—
85C83⋊#95—42no—
86C83⋊#95—42no—
87C83⋊#95—42no—
88C83⋊#95—42no—
89C25×C83C2311yescharacteristic
90C23×C4×C83—22no—
91C23×C4×C83—22no—
92C23×C4×C83—42no—
93C23×C4×C83—42no—
94C23×C4×C83Q814yescomplemented
95C23×C4×C83C2312yes—
96C23×C4×C83C2311yescharacteristic
97C23×C4×C83C2311yescharacteristic
98C23×C4×C83C2312yes—
99C2×C22⋊C4×C83—22no—
100C2×C22⋊C4×C83—22no—
101C2×C22⋊C4×C83—22no—
102C2×C22⋊C4×C83—22no—
103C2×C22⋊C4×C83—22no—
104C2×C22⋊C4×C83C2×C414yes—
105#95×C83—42no—
106#95×C83—42no—
107C2×Dic166—28no—
108C2×Dic166—48no—
109C2×Dic166—48no—
110C2×Dic166—44no—
111C2×Dic166—44no—
112C22×Dic83—22no—
113C22×Dic83—22no—
114C22×Dic83—22no—
115C22×Dic83—22no—
116C22×Dic83—28no—
117C22×Dic83—22no—
118C22×Dic83—21no—
119C22×Dic83—21no—
120C22×Dic83—21no—
121C22×Dic83—21no—
122C22×Dic83—22no—
123C22×Dic83—22no—
124C22×Dic83—22no—
125C22×Dic83—22no—
126C22×Dic83—22no—
127C22×Dic83—22no—
128C22×Dic83—22no—
129C22×Dic83—22no—
130C22×Dic83—22no—
131C22×Dic83—22no—
132C22×Dic83—22no—
133C22×Dic83—22no—
134C22×Dic83—22no—
135C22×Dic83—22no—
136C22×Dic83—22no—
137C22×Dic83—22no—
138C22×Dic83—48no—
139C22×Dic83—48no—
140C22×Dic83—44no—
141C22×Dic83—44no—
142C22×Dic83—48no—
143C22×Dic83—44no—
144C22×Dic83—44no—
145C22×Dic83—48no—
146C22×Dic83C22⋊C4116yes—
147C22×Dic83C22×C412yes—
148C22×Dic83C22×C412yes—
149C22×Dic83C22×C412yes—
150C22×Dic83C22×C412yes—
151C22×Dic83C2×D412yes—
152C22×Dic83C2×D412yes—
153C22×Dic83C2×D412yes—
154C22×Dic83C2×D412yes—
155C22×Dic83C2×Q814yes—
156C4⋊Dic83—28no—
157Dic83⋊C4—28no—
158Dic83⋊C4—28no—
159Dic83⋊C4—48no—
160C22⋊Dic83—28no—
161C22⋊Dic83—44no—
162C24×C83—22no—
163C24×C83—22no—
164C24×C83—22no—
165C24×C83—22no—
166C24×C83C22×C412yes—
167C24×C83C2×D412yes—
168C24×C83C2×D412yes—
169C24×C83C2×Q812yes—
170C24×C83C2×Q812yes—
171C24×C83#4112yes—
172C24×C83#4112yes—
173C24×C83C2411yescharacteristic
174C22×C4×C83—28no—
175C22×C4×C83—21no—
176C22×C4×C83—21no—
177C22×C4×C83—21no—
178C22×C4×C83—21no—
179C22×C4×C83—22no—
180C22×C4×C83—22no—
181C22×C4×C83—22no—
182C22×C4×C83—22no—
183C22×C4×C83—22no—
184C22×C4×C83—22no—
185C22×C4×C83—22no—
186C22×C4×C83—22no—
187C22×C4×C83—22no—
188C22×C4×C83—22no—
189C22×C4×C83—22no—
190C22×C4×C83—22no—
191C22×C4×C83—22no—
192C22×C4×C83—22no—
193C22×C4×C83—22no—
194C22×C4×C83—22no—
195C22×C4×C83—22no—
196C22×C4×C83—48no—
197C22×C4×C83—44no—
198C22×C4×C83—44no—
199C22×C4×C83—48no—
200C22×C4×C83C22×C412yes—
201C22×C4×C83C22×C412yes—
202C22×C4×C83C2×Q814yes—
203C22⋊C4×C83—28no—
204C22⋊C4×C83—44no—
205C23×C83—24no—
206C23×C83—24no—
207C23×C83—22no—
208C23×C83—24no—
209C23×C83—22no—
210C23×C83—22no—
211C23×C83—22no—
212C23×C83—24no—
213C23×C83—24no—
214C23×C83—24no—
215C23×C83—24no—
216C23×C83—24no—
217C23×C83—24no—
218C23×C83—24no—
219C23×C83—24no—
220C23×C83—24no—
221C23×C83C2×C22⋊C414yes—
222C23×C83C4×Q814yes—
223C23×C83C4×Q814yes—
224C23×C83C22⋊Q814yes—
225C23×C83C22⋊Q814yes—
226C23×C83#12414yes—
227C23×C83C4⋊Q814yes—
228C23×C83C23×C411yescharacteristic
229C23×C83C22×D411yescharacteristic
230C23×C83C22×D411yescharacteristic
231C23×C83C22×Q811yescharacteristic
232C23×C83C22×Q811yescharacteristic
233C23×C83C2×#4111yescharacteristic
234C23×C83C2×#4111yescharacteristic
235C23×C83H(5,𝔽2)12yes—
236C23×C83H(5,𝔽2)12yes—
237C23×C83H(5,𝔽2)12yes—
238C23×C832−1+412yes—
239C2×C4×C83—22no—
240C2×C4×C83—22no—
241C2×C4×C83—24no—
242C2×C4×C83—24no—
243C2×C4×C83—24no—
244C2×C4×C83—24no—
245C2×C4×C83—24no—
246C2×C4×C83—416no—
247C2×C4×C83—42no—
248C2×C4×C83—42no—
249C2×C4×C83—41no—
250C2×C4×C83—41no—
251C2×C4×C83—41no—
252C2×C4×C83—42no—
253C2×C4×C83—41no—
254C2×C4×C83—42no—
255C2×C4×C83—42no—
256C2×C4×C83—42no—
257C2×C4×C83—42no—
258C2×C4×C83—42no—
259C2×C4×C83—42no—
260C2×C4×C83—42no—
261C2×C4×C83—42no—
262C2×C4×C83—42no—
263C2×C4×C83—42no—
264C2×Dic83—24no—
265C2×Dic83—24no—
266C2×Dic83—24no—
267C2×Dic83—22no—
268C2×Dic83—22no—
269C2×Dic83—24no—
270C2×Dic83—22no—
271C2×Dic83—22no—
272C2×Dic83—22no—
273C2×Dic83—22no—
274C2×Dic83—24no—
275C2×Dic83—24no—
276C2×Dic83—24no—
277C2×Dic83—24no—
278C2×Dic83—24no—
279C2×Dic83—416no—
280C2×Dic83—416no—
281C2×Dic83—42no—
282C2×Dic83—42no—
283C2×Dic83—41no—
284C2×Dic83—41no—
285C2×Dic83—41no—
286C2×Dic83—42no—
287C2×Dic83—41no—
288C2×Dic83—42no—
289C2×Dic83—42no—
290C2×Dic83—42no—
291C2×Dic83—42no—
292C2×Dic83—42no—
293C2×Dic83—42no—
294C2×Dic83—42no—
295C2×Dic83—42no—
296C2×Dic83—42no—
297C2×Dic83—42no—
298C2×Dic83C2×C22⋊C414yes—
299C2×Dic83C2×C22⋊C414yes—
300Dic166—416no—
301C22×C83—24no—
302C22×C83—24no—
303C22×C83—28no—
304C22×C83—28no—
305C22×C83—24no—
306C22×C83—24no—
307C22×C83—24no—
308C22×C83—24no—
309C22×C83—28no—
310C22×C83—28no—
311C22×C83#39118yes—
312C22×C83C22×C22⋊C411yescharacteristic
313C22×C83C2×C4×Q811yescharacteristic
314C22×C83C2×C4×Q811yescharacteristic
315C22×C83#51812yes—
316C22×C83#52012yes—
317C22×C83C2×C22⋊Q811yescharacteristic
318C22×C83C2×C22⋊Q811yescharacteristic
319C22×C83C2×#12411yescharacteristic
320C22×C83C2×C4⋊Q811yescharacteristic
321C22×C83#53412yes—
322C22×C83#53411yescharacteristic
323C22×C83#53411yescharacteristic
324C22×C83#53511yescharacteristic
325C22×C83#53611yescharacteristic
326C22×C83#53712yes—
327C22×C83#53812yes—
328C22×C83#53812yes—
329C22×C83#53912yes—
330C22×C83#53912yes—
331C22×C83#54312yes—
332C22×C83#54312yes—
333C22×C83#54412yes—
334C22×C83#54412yes—
335C4×C83—42no—
336C4×C83—42no—
337C4×C83—44no—
338C4×C83—82no—
339Dic83—24no—
340Dic83—24no—
341Dic83—42no—
342Dic83—42no—
343Dic83—44no—
344Dic83—82no—
345#14281—831nomaximal, Sylow
346C2×C83—28no—
347C2×C83C2×#39111yescharacteristic
348C2×C83#230811yescharacteristic
349C2×C83#231111yescharacteristic
350C2×C83#232912yes—
351C2×C83#232912yes—
352C2×C83#262611yescharacteristic
353C2×C83#262611yescharacteristic
354C2×C83#262711yescharacteristic
355C2×C83#262711yescharacteristic
356C2×C83#263912yes—
357C2×C83#265912yes—
358C22×C22⋊Q8—831no—
359C2×#380—831no—
360C22×#95—831no—
361#1446—832no—
362#1445—832no—
363#1441—832no—
364#1441—832no—
365C22⋊#95—831no—
366C22⋊#95—831no—
367C22⋊#95—831no—
368C22⋊#95D8311yescharacteristic
369C83#1428111yescharacteristic, complemented, Sylow
370C23×Q8—831no—
371C24×C4—831no—
372C24×C4—831no—
373C24×C4C2×D8311yescharacteristic
374C2×C22⋊Q8—838no—
375C2×C22⋊Q8—1664no—
376C2×C22⋊Q8—1664no—
377C22×C4⋊C4—832no—
378C22×C4⋊C4—831no—
379C22×C4⋊C4—831no—
380C22×C4⋊C4—831no—
381C22×C22⋊C4—831no—
382C22×C22⋊C4—831no—
383C22×C22⋊C4C2×D8311yescharacteristic
384C22×C22⋊C4C2×D8311yescharacteristic
385#380—1664no—
386C2×#95—832no—
387C2×#95—832no—
388C2×#95—832no—
389C2×#95—832no—
390C2×#95—832no—
391C2×#95—832no—
392C2×#95—832no—
393C2×#95—832no—
394C2×#95—832no—
395C2×#95—1664no—
396C2×#95C2×D8312yes—
397C2×#95C2×D8312yes—
398C25C22×D8311yescharacteristic
399C22×Q8—3322no—
400C22×Q8—3322no—
401C22×Q8—834no—
402C22×Q8—1662no—
403C22×Q8—1662no—
404C23×C4—22no—
405C23×C4—22no—
406C23×C4—42no—
407C23×C4—42no—
408C23×C4—3322no—
409C23×C4—3322no—
410C23×C4—3322no—
411C23×C4—3322no—
412C23×C4—834no—
413C23×C4—834no—
414C23×C4—834no—
415C23×C4—834no—
416C23×C4—831no—
417C23×C4—831no—
418C23×C4—831no—
419C23×C4—831no—
420C23×C4—832no—
421C23×C4—832no—
422C23×C4—1662no—
423C23×C4—1662no—
424C23×C4Dic16614yescomplemented
425C23×C4C22×D8312yes—
426C23×C4C22×D8311yescharacteristic
427C23×C4C22×D8311yescharacteristic
428C23×C4C22×D8312yes—
429C22⋊Q8—16632no—
430C2×C4⋊C4—3322no—
431C2×C4⋊C4—3322no—
432C2×C4⋊C4—834no—
433C2×C4⋊C4—834no—
434C2×C4⋊C4—834no—
435C2×C4⋊C4—1664no—
436C2×C4⋊C4—1662no—
437C2×C4⋊C4—1662no—
438C2×C4⋊C4—1662no—
439C2×C4⋊C4—1662no—
440C2×C4⋊C4—1662no—
441C2×C4⋊C4—1662no—
442C2×C22⋊C4—22no—
443C2×C22⋊C4—22no—
444C2×C22⋊C4—22no—
445C2×C22⋊C4—22no—
446C2×C22⋊C4—22no—
447C2×C22⋊C4—834no—
448C2×C22⋊C4—1662no—
449C2×C22⋊C4—1662no—
450C2×C22⋊C4—1662no—
451C2×C22⋊C4—1662no—
452C2×C22⋊C4—1662no—
453C2×C22⋊C4C4×D8314yes—
454#95—42no—
455#95—42no—
456#95—3322no—
457#95—3322no—
458#95—3322no—
459#95—3322no—
460#95—3322no—
461#95—3322no—
462#95—1664no—
463#95—1664no—
464#95—1664no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24C2×C4×D8312yes—
470C24D4×D8312yes—
471C24D4×D8312yes—
472C24Q8×D8312yes—
473C24C2×Dic16612yes—
474C24#1305058912yes—
475C24#1305059012yes—
476C24C23×D8311yescharacteristic
477C2×Q8—3328no—
478C2×Q8—3328no—
479C2×Q8—3324no—
480C2×Q8—3324no—
481C2×Q8—1668no—
482C22×C4—28no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—48no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—48no—
508C22×C4—3324no—
509C22×C4—3324no—
510C22×C4—3328no—
511C22×C4—3328no—
512C22×C4—3328no—
513C22×C4—3328no—
514C22×C4—3324no—
515C22×C4—3324no—
516C22×C4—8316no—
517C22×C4—832no—
518C22×C4—832no—
519C22×C4—832no—
520C22×C4—832no—
521C22×C4—832no—
522C22×C4—832no—
523C22×C4—832no—
524C22×C4—832no—
525C22×C4—834no—
526C22×C4—1662no—
527C22×C4—1662no—
528C22×C4—1662no—
529C22×C4—1662no—
530C22×C4—1662no—
531C22×C4—1662no—
532C22×C4—1662no—
533C22×C4—1668no—
534C22×C4—1662no—
535C22×C4—1661no—
536C22×C4—1661no—
537C22×C4—1661no—
538C22×C4—1661no—
539C22×C4—1662no—
540C22×C4—1662no—
541C22×C4—1662no—
542C22×C4—1662no—
543C22×C4—1662no—
544C22×C4—1662no—
545C22×C4—1662no—
546C22×C4—1662no—
547C22×C4—1662no—
548C22×C4—1662no—
549C22×C4—1662no—
550C22×C4—1662no—
551C22×C4—1662no—
552C22×C4C2×C4×D8312yes—
553C22×C4C2×C4×D8312yes—
554C22×C4C2×Dic16614yes—
555C4⋊C4—3328no—
556C4⋊C4—1668no—
557C4⋊C4—1668no—
558C4⋊C4—1668no—
559C22⋊C4—28no—
560C22⋊C4—44no—
561C22⋊C4—3324no—
562C22⋊C4—1668no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23C22⋊C4×D8314yes—
580C23#1458175714yes—
581C23C4×Dic16614yes—
582C23#1458176914yes—
583C23#1458177014yes—
584C23#1458177814yes—
585C23#1458179114yes—
586C23C22×C4×D8311yescharacteristic
587C23C2×D4×D8311yescharacteristic
588C23C2×D4×D8311yescharacteristic
589C23C2×Q8×D8311yescharacteristic
590C23C22×Dic16611yescharacteristic
591C23C2×#1305058911yescharacteristic
592C23C2×#1305059011yescharacteristic
593C23#1458183712yes—
594C23#1458183712yes—
595C23#1458183812yes—
596C23#1458183912yes—
597Q8—33216no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—416no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—33216no—
624C2×C4—3322no—
625C2×C4—3321no—
626C2×C4—3322no—
627C2×C4—3321no—
628C2×C4—3322no—
629C2×C4—3321no—
630C2×C4—3321no—
631C2×C4—3322no—
632C2×C4—3322no—
633C2×C4—3322no—
634C2×C4—3322no—
635C2×C4—3322no—
636C2×C4—3322no—
637C2×C4—3322no—
638C2×C4—3322no—
639C2×C4—3322no—
640C2×C4—3322no—
641C2×C4—33216no—
642C2×C4—834no—
643C2×C4—834no—
644C2×C4—1664no—
645C2×C4—1664no—
646C2×C4—1662no—
647C2×C4—1662no—
648C2×C4—1664no—
649C2×C4—1664no—
650C2×C4—1664no—
651C2×C4—1664no—
652C2×C4—1664no—
653C2×C4—1664no—
654C2×C4—1664no—
655C2×C4—1662no—
656C2×C4—1662no—
657C2×C4—1662no—
658C2×C4—1662no—
659C22—28no—
660C22—28no—
661C22—24no—
662C22—24no—
663C22—24no—
664C22—24no—
665C22—28no—
666C22—24no—
667C22—24no—
668C22—28no—
669C22#1912760518yes—
670C22C2×C22⋊C4×D8311yescharacteristic
671C22C2×#1458175711yescharacteristic
672C22C2×C4×Dic16611yescharacteristic
673C22#1912817312yes—
674C22#1912818012yes—
675C22C2×#1458176911yescharacteristic
676C22C2×#1458177011yescharacteristic
677C22C2×#1458177811yescharacteristic
678C22C2×#1458179111yescharacteristic
679C22#1912825912yes—
680C22#1912826111yescharacteristic
681C22#1912826211yescharacteristic
682C22#1912826611yescharacteristic
683C22#1912827311yescharacteristic
684C22#1912827812yes—
685C22#1912828412yes—
686C22#1912828612yes—
687C22#1912829312yes—
688C22#1912829512yes—
689C22#1912832612yes—
690C22#1912832712yes—
691C22#1912832912yes—
692C22#1912833012yes—
693C4—44no—
694C4—42no—
695C4—42no—
696C4—82no—
697C4—3324no—
698C4—3322no—
699C4—3322no—
700C4—6642no—
701C4—1664no—
702C4—1664no—
703C2—28no—
704C2C2×#1912760511yescharacteristic
705C2#2491003711yescharacteristic
706C2#2491005011yescharacteristic
707C2#2491019112yes—
708C2#2491019412yes—
709C2#2491327211yescharacteristic
710C2#2491327411yescharacteristic
711C2#2491328011yescharacteristic
712C2#2491328211yescharacteristic
713C2#2491339312yes—
714C2#2491358012yes—
subgroupG/H
center, FrattiniC24C23×D83
commutatorC23×C83C23×C4
FittingC83×C22⋊#95C2
socle, cosocleC24×C83C24
prime radicalC25×C83C23
hypercenterC22⋊#95D83
hypocenterC83#14281
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
4. #24905733C2semidirect
5. #24905729C2semidirect
6. #24905715C2semidirect
7. #24905714C2semidirect
17. C2×#14581769C4semidirect
44. C22×Dic166C2×C4semidirect
54. C23×Dic83Q8semidirect
64. C2×C4⋊Dic83C2×C4semidirect
72. C2×Dic83⋊C4C2×C4semidirect
73. C2×Dic83⋊C4C2×C4semidirect
94. C23×C4×C83Q8semidirect
369. C83#14281semidirect
424. C23×C4Dic166semidirect

Maximal subgroups

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

subgroupindex
C22×#145817692
C2×#191275592
C22×C83⋊#952
#249057332
#249057292
#249057152
#249057142
#249056862
#249056852
C83×C22⋊#952
#1428183