Finite Group Databasebeta

← #35425306

Subgroups — #35425306

Order 21248.

860 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×(C22⋊D83)⋊C8C211yesmaximal, characteristic
2#24910720C211yesmaximal, characteristic
3#24908178C211yesmaximal, characteristic, complemented
4#24908076C211yesmaximal, characteristic, complemented
5#24908075C211yesmaximal, characteristic, complemented
6#24908020C211yesmaximal, characteristic, complemented
7#24908017C211yesmaximal, characteristic, complemented
8#24907758C211yesmaximal, characteristic
9#24907640C211yesmaximal, characteristic, complemented
10#24907639C211yesmaximal, characteristic, complemented
11#24907339C211yesmaximal, characteristic, complemented
12#24907249C211yesmaximal, characteristic, complemented
13C8×(C2×D83)⋊C4C211yesmaximal, characteristic, complemented
14#24907160C211yesmaximal, characteristic, complemented
15C2×#433×C83C211yesmaximal, characteristic, complemented
16C22×#13050574C2211yescharacteristic
17C23×C83⋊C8C2211yescharacteristic
18C22×C8×D83C2211yescharacteristic
19C2×C4×C22⋊D83C2211yescharacteristic
20(C22⋊D83)⋊C8—24no—
21C2×Dic83⋊C8C2211yescharacteristic
22C2×Dic83⋊C8C2211yescharacteristic
23C2×Dic83⋊C8C2211yescharacteristic
24C2×(C2×D83)⋊C8C2211yescharacteristic
25C2×(C2×D83)⋊C8C2211yescharacteristic
26C2×(C2×D83)⋊C8C2211yescharacteristic
27C2×#14581702C2211yescharacteristic
28C2×C8×Dic83C2211yescharacteristic
29C2×C8×Dic83C2211yescharacteristic
30#19127639C411yescharacteristic
31#19127636C411yescharacteristic
32#19127632C411yescharacteristic
33#19127629C411yescharacteristic
34#19127629C411yescharacteristic
35#19127627C411yescharacteristic
36#19127616C411yescharacteristic
37#19127616C411yescharacteristic
38C4×Dic83⋊C4C2211yescharacteristic
39C4×Dic83⋊C4C2211yescharacteristic
40C4×(C2×D83)⋊C4C2211yescharacteristic
41C4×(C2×D83)⋊C4C2211yescharacteristic
42C4×C22⋊Dic83C2211yescharacteristic
43#19127456C2211yescharacteristic
44#19127456C2211yescharacteristic
45#19127456C2211yescharacteristic
46#19127456C2211yescharacteristic
47#19127455C2211yescharacteristic
48#19127455C2211yescharacteristic
49#19127455C2211yescharacteristic
50#19127455C2211yescharacteristic
51#19127455C2211yescharacteristic
52#19127455C2211yescharacteristic
53C2×#117×C83C2211yescharacteristic
54#433×C83—24no—
55C2×C4⋊C8×C83C2211yescharacteristic
56C2×C4⋊C8×C83C2211yescharacteristic
57C2×C22⋊C8×C83C2211yescharacteristic
58C2×C22⋊C8×C83C2211yescharacteristic
59C2×#97×C83C2211yescharacteristic
60C2×C4×C8×C83C2211yescharacteristic
61C22×C22⋊D83C2×C411yescharacteristic
62C22×C4×D83C2311yescharacteristic
63C2×#13050574—22no—
64C2×#13050574—22no—
65C2×#13050574—41no—
66C22×C83⋊C8—22no—
67C22×C83⋊C8—22no—
68C22×C83⋊C8—41no—
69C22×C83⋊C8C2311yescharacteristic
70C22×C83⋊C8C2311yescharacteristic
71C22×C83⋊C8C2311yescharacteristic
72C22×C83⋊C8C2311yescharacteristic
73C2×C8×D83—22no—
74C2×C8×D83—22no—
75C2×C8×D83—41no—
76C4×C22⋊D83—22no—
77C4×C22⋊D83—22no—
78C2×Dic83⋊C4C2×C411yescharacteristic
79C2×Dic83⋊C4C2×C411yescharacteristic
80C2×Dic83⋊C4C2×C411yescharacteristic
81C2×Dic83⋊C4C2×C411yescharacteristic
82C2×Dic83⋊C4C2×C411yescharacteristic
83C2×C22⋊Dic83C2×C411yescharacteristic
84C2×C22⋊Dic83C2×C411yescharacteristic
85C2×C22⋊Dic83C2×C411yescharacteristic
86C2×(C2×D83)⋊C4C2×C411yescharacteristic
87C2×(C2×D83)⋊C4C2×C411yescharacteristic
88C2×(C2×D83)⋊C4C2×C411yescharacteristic
89C2×(C2×D83)⋊C4C2×C411yescharacteristic
90C2×(C2×D83)⋊C4C2×C411yescharacteristic
91C2×C4×Dic83C2311yescharacteristic
92C2×C4×Dic83C2311yescharacteristic
93C2×C4×Dic83C2311yescharacteristic
94Dic83⋊C8—22no—
95Dic83⋊C8—22no—
96Dic83⋊C8—41no—
97(C2×D83)⋊C8—22no—
98(C2×D83)⋊C8—22no—
99(C2×D83)⋊C8—41no—
100#14581702—22no—
101C8×Dic83—22no—
102C8×Dic83—41no—
103C83⋊#95C2×C411yescharacteristic
104C83⋊#95C2×C411yescharacteristic
105C83⋊#95C2×C411yescharacteristic
106C83⋊#95C2×C411yescharacteristic
107C83⋊#95C2×C411yescharacteristic
108C83⋊#95C2×C411yescharacteristic
109C83⋊#95C2×C411yescharacteristic
110C83⋊#95C2×C411yescharacteristic
111C83⋊#95C2×C411yescharacteristic
112C83⋊#95C2×C411yescharacteristic
113C23×C4×C83C2311yescharacteristic
114C22×C8×C83C2311yescharacteristic
115C22×C8×C83C2311yescharacteristic
116C22×C8×C83C2311yescharacteristic
117C22×C8×C83C2311yescharacteristic
118#117×C83—22no—
119#117×C83—22no—
120C2×C4⋊C4×C83C2×C411yescharacteristic
121C2×C4⋊C4×C83C2×C411yescharacteristic
122C2×C22⋊C4×C83C2×C411yescharacteristic
123C2×C22⋊C4×C83C2×C411yescharacteristic
124C2×C42×C83C2311yescharacteristic
125C2×C42×C83C2311yescharacteristic
126C4⋊C8×C83—22no—
127C4⋊C8×C83—22no—
128C22⋊C8×C83—22no—
129C22⋊C8×C83D414yes—
130#97×C83—22no—
131C4×C8×C83—22no—
132C23×D83C22×C411yescharacteristic
133C2×C22⋊D83—22no—
134C2×C22⋊D83—22no—
135C2×C22⋊D83—22no—
136C22×Dic83C22×C411yescharacteristic
137C22×Dic83C22×C411yescharacteristic
138C22×Dic83C22×C411yescharacteristic
139C22×Dic83C22×C411yescharacteristic
140C22×Dic83C22×C411yescharacteristic
141C22×Dic83C22×C411yescharacteristic
142C22×Dic83C22×C411yescharacteristic
143C2×C4×D83—21no—
144C2×C4×D83—21no—
145C2×C4×D83—21no—
146C2×C4×D83—21no—
147C2×C4×D83—21no—
148C2×C4×D83—21no—
149#13050574—44no—
150C2×C83⋊C8—21no—
151C2×C83⋊C8—21no—
152C2×C83⋊C8—21no—
153C2×C83⋊C8—21no—
154C2×C83⋊C8—21no—
155C2×C83⋊C8—21no—
156C2×C83⋊C8—21no—
157C2×C83⋊C8—21no—
158C2×C83⋊C8—21no—
159C2×C83⋊C8—21no—
160C2×C83⋊C8—44no—
161C2×C83⋊C8#4112yes—
162C2×C83⋊C8#4112yes—
163C8×D83—44no—
164Dic83⋊C4—22no—
165Dic83⋊C4—22no—
166Dic83⋊C4—22no—
167Dic83⋊C4—22no—
168Dic83⋊C4—41no—
169C22⋊Dic83—22no—
170C22⋊Dic83—22no—
171C22⋊Dic83—41no—
172(C2×D83)⋊C4—22no—
173(C2×D83)⋊C4—22no—
174(C2×D83)⋊C4—22no—
175(C2×D83)⋊C4—22no—
176(C2×D83)⋊C4—41no—
177C4×Dic83—21no—
178C4×Dic83—21no—
179C4×Dic83—21no—
180C4×Dic83—21no—
181C4×Dic83—21no—
182C4×Dic83—21no—
183C24×C83C22×C411yescharacteristic
184C22×C4×C83—21no—
185C22×C4×C83—21no—
186C22×C4×C83—21no—
187C22×C4×C83—21no—
188C22×C4×C83C22×C411yescharacteristic
189C22×C4×C83C22×C411yescharacteristic
190C22×C4×C83C22×C411yescharacteristic
191C22×C4×C83C22×C411yescharacteristic
192C22×C4×C83C22×C411yescharacteristic
193C22×C4×C83C2×D412yes—
194C22×C4×C83#4112yes—
195C22×C4×C83C2411yescharacteristic
196C2×C8×C83—21no—
197C2×C8×C83—21no—
198C2×C8×C83—21no—
199C2×C8×C83—21no—
200C2×C8×C83—21no—
201C2×C8×C83—21no—
202C2×C8×C83—21no—
203C2×C8×C83—21no—
204C2×C8×C83—21no—
205C2×C8×C83—21no—
206C2×C8×C83C2×D412yes—
207C2×C8×C83C2×D412yes—
208C4⋊C4×C83—22no—
209C4⋊C4×C83—22no—
210C22⋊C4×C83—22no—
211C22⋊C4×C83—22no—
212C42×C83—21no—
213C42×C83—21no—
214C42×C83—21no—
215C42×C83—21no—
216C23×C83—21no—
217C23×C83—21no—
218C23×C83—21no—
219C23×C83—21no—
220C23×C83—21no—
221C23×C83—21no—
222C23×C83C4×D412yes—
223C23×C83C23×C411yescharacteristic
224C22×D83—21no—
225C22×D83—21no—
226C22×D83—21no—
227C22×D83—21no—
228C22×D83—21no—
229C22×D83—21no—
230C22×D83#13112yes—
231C2×C4×C83—21no—
232C2×C4×C83—21no—
233C2×C4×C83—22no—
234C2×C4×C83—22no—
235C2×C4×C83—22no—
236C2×C4×C83—22no—
237C2×C4×C83—21no—
238C2×C4×C83—21no—
239C2×C4×C83—21no—
240C2×C4×C83—21no—
241C2×C4×C83—21no—
242C2×C4×C83—21no—
243C2×C4×C83—21no—
244C2×C4×C83—21no—
245C2×C4×C83—21no—
246C2×C4×C83—21no—
247C2×C4×C83—21no—
248C2×C4×C83—21no—
249C2×C4×C83C4×D412yes—
250C2×C4×C83C22×D411yescharacteristic
251C2×C4×C83C2×#4111yescharacteristic
252C2×C4×C83C2×#4111yescharacteristic
253C2×C4×C83C2×#4111yescharacteristic
254C2×C4×C83H(5,𝔽2)11yescharacteristic
255C2×C4×C832−1+411yescharacteristic
256C22⋊D83—28no—
257C2×Dic83—21no—
258C2×Dic83—21no—
259C2×Dic83—21no—
260C2×Dic83—21no—
261C2×Dic83—21no—
262C2×Dic83—21no—
263C2×Dic83—21no—
264C2×Dic83—21no—
265C2×Dic83—21no—
266C2×Dic83—21no—
267C2×Dic83—21no—
268C2×Dic83—21no—
269C2×Dic83—21no—
270C2×Dic83—21no—
271C2×Dic83—21no—
272C2×Dic83—21no—
273C2×Dic83—21no—
274C2×Dic83—21no—
275C2×Dic83—21no—
276C2×Dic83#13112yes—
277C2×Dic83#13112yes—
278C4×D83—41no—
279C4×D83—41no—
280C4×D83—41no—
281C4×D83—41no—
282C8×C83—22no—
283C8×C83—22no—
284C8×C83—41no—
285C8×C83—41no—
286C83⋊C8—22no—
287C83⋊C8—22no—
288C83⋊C8—41no—
289C83⋊C8—41no—
290C22×C83—22no—
291C22×C83—22no—
292C22×C83—22no—
293C22×C83—41no—
294C22×C83—41no—
295C22×C83—41no—
296C22×C83—41no—
297C22×C83C2×C4×D411yescharacteristic
298C22×C83C4×#4111yescharacteristic
299C22×C83#52011yescharacteristic
300C22×C83C2×#13111yescharacteristic
301C22×C83C2×#13111yescharacteristic
302C22×C83C2×#13111yescharacteristic
303C22×C83#56811yescharacteristic
304C2×D83—22no—
305C2×D83—22no—
306C2×D83—22no—
307C2×D83—41no—
308C2×D83—41no—
309C2×D83—41no—
310C2×D83—41no—
311C4×C83—22no—
312C4×C83—41no—
313C4×C83—41no—
314C4×C83—41no—
315C4×C83—41no—
316C4×C83#54611yescharacteristic
317C4×C83#54711yescharacteristic
318C4×C83#55111yescharacteristic
319C4×C83#55211yescharacteristic
320Dic83—22no—
321Dic83—22no—
322Dic83—41no—
323Dic83—41no—
324Dic83—41no—
325Dic83—41no—
326Dic83—41no—
327#22901—831nomaximal, Sylow
328C2×C83—42no—
329C2×C83#235911yescharacteristic
330C2×C83#292911yescharacteristic
331C2×C83#293511yescharacteristic
332C2×C83#296611yescharacteristic
333C2×C83#296911yescharacteristic
334C2×C83#299211yescharacteristic
335C2×C83#299411yescharacteristic
336D83—42no—
337C2×C8×D4—831no—
338C2×#433D8311yescharacteristic, complemented
339#2395—831no—
340#1939—831no—
341#1924—831no—
342#1924—831no—
343#1916—831no—
344#1916—831no—
345#1870—831no—
346#1850—831no—
347#1850—831no—
348#1771—831no—
349#1753—831no—
350C8×C22⋊C4—831no—
351#1729—831no—
352C83#2290111yescharacteristic, complemented, Sylow
353C22×M16—831no—
354C23×C8—831no—
355C23×C8—831no—
356C2×C4×D4—831no—
357C2×#117C2×D8311yescharacteristic
358C8×D4—1664no—
359#433—24no—
360C2×C4⋊C8—831no—
361C2×C4⋊C8—831no—
362C2×C4⋊C8—831no—
363C2×C4⋊C8C2×D8311yescharacteristic
364C2×C4⋊C8C2×D8311yescharacteristic
365C2×C22⋊C8—831no—
366C2×C22⋊C8—831no—
367C2×C22⋊C8—831no—
368C2×C22⋊C8C2×D8311yescharacteristic
369C2×C22⋊C8C2×D8311yescharacteristic
370C2×#97—831no—
371C2×#97C2×D8311yescharacteristic
372C2×C4×C8—831no—
373C2×C4×C8—831no—
374C2×C4×C8C2×D8311yescharacteristic
375#400—831no—
376#399—831no—
377#398—831no—
378#397—831no—
379#397—831no—
380#397—831no—
381#394—831no—
382#394—831no—
383C4×C4⋊C4—831no—
384C4×C4⋊C4—831no—
385C4×C22⋊C4—831no—
386C4×C22⋊C4—831no—
387C4×C22⋊C4—831no—
388#336—831no—
389#336—831no—
390#336—831no—
391#336—831no—
392#336—831no—
393#336—831no—
394#336—831no—
395#336—831no—
396#336—831no—
397#336—831no—
398C22×D4—831no—
399C23×C4—831no—
400C23×C4C22×D8311yescharacteristic
401C2×M16—3321no—
402C2×M16—1662no—
403C2×M16—1662no—
404C22×C8—3321no—
405C22×C8—3321no—
406C22×C8—831no—
407C22×C8—831no—
408C22×C8—831no—
409C22×C8—831no—
410C22×C8—1662no—
411C22×C8—1662no—
412C22×C8—1662no—
413C22×C8—1662no—
414C22×C8C22×D8311yescharacteristic
415C22×C8C22×D8311yescharacteristic
416C22×C8C22×D8311yescharacteristic
417C22×C8C22×D8311yescharacteristic
418C4×D4—1662no—
419C4×D4—1662no—
420#117—22no—
421#117—22no—
422C2×C4⋊C4—831no—
423C2×C4⋊C4—831no—
424C2×C4⋊C4—831no—
425C2×C4⋊C4—831no—
426C2×C4⋊C4—831no—
427C2×C4⋊C4C4×D8311yescharacteristic
428C2×C4⋊C4C4×D8311yescharacteristic
429C2×C22⋊C4—831no—
430C2×C22⋊C4—831no—
431C2×C22⋊C4—831no—
432C2×C22⋊C4—831no—
433C2×C22⋊C4—831no—
434C2×C22⋊C4—831no—
435C2×C22⋊C4—831no—
436C2×C22⋊C4—831no—
437C2×C22⋊C4C4×D8311yescharacteristic
438C2×C22⋊C4C4×D8311yescharacteristic
439C2×C42—831no—
440C2×C42—831no—
441C2×C42—831no—
442C2×C42C22×D8311yescharacteristic
443C2×C42C22×D8311yescharacteristic
444C4⋊C8—22no—
445C4⋊C8—22no—
446C4⋊C8—3321no—
447C4⋊C8—1662no—
448C4⋊C8—1662no—
449C22⋊C8—22no—
450C22⋊C8—3321no—
451C22⋊C8—1662no—
452C22⋊C8—1662no—
453C22⋊C8C22⋊D8314yes—
454#97—22no—
455#97—1662no—
456C4×C8—22no—
457C4×C8—3321no—
458C4×C8—1662no—
459#95—831no—
460#95—831no—
461#95—831no—
462#95—831no—
463#95—831no—
464#95—831no—
465#95—831no—
466#95—831no—
467#95—831no—
468#95—831no—
469C24—831no—
470C24C2×C4×D8311yescharacteristic
471C2×D4—1662no—
472C2×D4—1662no—
473C2×D4—1662no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—831no—
479C22×C4—831no—
480C22×C4—831no—
481C22×C4—831no—
482C22×C4—831no—
483C22×C4—831no—
484C22×C4—831no—
485C22×C4—1661no—
486C22×C4—1661no—
487C22×C4—1661no—
488C22×C4—1661no—
489C22×C4—1661no—
490C22×C4—1661no—
491C22×C4C2×C4×D8311yescharacteristic
492C22×C4C2×C4×D8311yescharacteristic
493C22×C4C2×C4×D8311yescharacteristic
494C22×C4C2×C4×D8311yescharacteristic
495C22×C4C2×C4×D8311yescharacteristic
496C22×C4C2×C22⋊D8312yes—
497C22×C4#1305059012yes—
498C22×C4C23×D8311yescharacteristic
499M16—3324no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—3324no—
511C2×C8—3324no—
512C2×C8—832no—
513C2×C8—832no—
514C2×C8—1661no—
515C2×C8—1661no—
516C2×C8—1661no—
517C2×C8—1661no—
518C2×C8—1661no—
519C2×C8—1661no—
520C2×C8—1661no—
521C2×C8—1661no—
522C2×C8—1661no—
523C2×C8—1661no—
524C2×C8C2×C22⋊D8312yes—
525C2×C8C2×C22⋊D8312yes—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—3321no—
529C4⋊C4—1662no—
530C4⋊C4—1662no—
531C4⋊C4—1662no—
532C4⋊C4—1662no—
533C22⋊C4—22no—
534C22⋊C4—22no—
535C22⋊C4—3321no—
536C22⋊C4—3321no—
537C22⋊C4—1662no—
538C22⋊C4—1662no—
539C22⋊C4—1662no—
540C22⋊C4—1662no—
541C22⋊C4—1662no—
542C22⋊C4—1662no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—1661no—
548C42—1661no—
549C42—1661no—
550C42—1661no—
551C42—1661no—
552C42—1661no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—832no—
560C23—1661no—
561C23—1661no—
562C23—1661no—
563C23—1661no—
564C23—1661no—
565C23—1661no—
566C23C4×C22⋊D8312yes—
567C23C22×C4×D8311yescharacteristic
568D4—1668no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—3321no—
588C2×C4—3321no—
589C2×C4—3321no—
590C2×C4—3321no—
591C2×C4—832no—
592C2×C4—832no—
593C2×C4—1661no—
594C2×C4—1661no—
595C2×C4—1661no—
596C2×C4—1661no—
597C2×C4—1661no—
598C2×C4—1661no—
599C2×C4—1661no—
600C2×C4—1661no—
601C2×C4—1661no—
602C2×C4—1661no—
603C2×C4—1661no—
604C2×C4—1661no—
605C2×C4—1661no—
606C2×C4—1661no—
607C2×C4—1661no—
608C2×C4—1661no—
609C2×C4—1661no—
610C2×C4—1661no—
611C2×C4—1661no—
612C2×C4C4×C22⋊D8312yes—
613C2×C4C22×C22⋊D8311yescharacteristic
614C2×C4#41×D8311yescharacteristic
615C2×C4#41×D8311yescharacteristic
616C2×C4C2×#1305059011yescharacteristic
617C2×C4#1458183811yescharacteristic
618C2×C4#1458183911yescharacteristic
619C8—22no—
620C8—22no—
621C8—41no—
622C8—41no—
623C8—3321no—
624C8—3321no—
625C8—1662no—
626C8—1662no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—3321no—
635C22—3321no—
636C22—3321no—
637C22—3321no—
638C22—1662no—
639C22—1662no—
640C22—1662no—
641C22C2×C4×C22⋊D8311yescharacteristic
642C22#1912816911yescharacteristic
643C22#1912818111yescharacteristic
644C22#131×D8311yescharacteristic
645C22#131×D8311yescharacteristic
646C22#131×D8311yescharacteristic
647C22#1912846611yescharacteristic
648C4—22no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—3321no—
654C4—3321no—
655C4—3321no—
656C4—3321no—
657C4—3321no—
658C4—1662no—
659C4—1662no—
660C4#1912833911yescharacteristic
661C4#1912835011yescharacteristic
662C4#1912837511yescharacteristic
663C4#1912838411yescharacteristic
664C2—42no—
665C2—3322no—
666C2#2491045511yescharacteristic
667C2#2491615511yescharacteristic
668C2#2491620511yescharacteristic
669C2#2491643611yescharacteristic
670C2#2491646511yescharacteristic
671C2#2491659711yescharacteristic
672C2#2491661711yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D83
commutator, socleC23×C83C23×C4
FittingC2×#433×C83C2
prime radicalC22×C22⋊D83C2×C4
cosocleC22×C4×C83C24
hypercenterC2×#433D83
hypocenterC83#22901
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C22×C4 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
3. #24908178C2semidirect
4. #24908076C2semidirect
5. #24908075C2semidirect
6. #24908020C2semidirect
7. #24908017C2semidirect
9. #24907640C2semidirect
10. #24907639C2semidirect
11. #24907339C2semidirect
12. #24907249C2semidirect
13. C8×(C2×D83)⋊C4C2semidirect
14. #24907160C2semidirect
15. C2×#433×C83C2semidirect
338. C2×#433D83semidirect
352. C83#22901semidirect

Maximal subgroups

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

subgroupindex
C2×(C22⋊D83)⋊C82
#249107202
#249081782
#249080762
#249080752
#249080202
#249080172
#249077582
#249076402
#249076392
#249073392
#249072492
C8×(C2×D83)⋊C42
#249071602
C2×#433×C832
#2290183