Finite Group Databasebeta

← C2×#24910477 #35563931

Subgroups — C2×#24910477 #35563931

Order 21248.

4782 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14581766C211yesmaximal, characteristic
2C22×C4×D332C211yesmaximal, characteristic, complemented
3C22×(C22⋊D83)⋊C4C212yesmaximal, complemented
4C23×C4⋊Dic83C211yesmaximal, characteristic, complemented
5#24910477C2116yesmaximal, direct product factor
6C2×#19127603C211yesmaximal, characteristic, complemented
7C2×#19127599C211yesmaximal, characteristic, complemented
8C2×#19127593C212yesmaximal, complemented
9C2×#19127578C212yesmaximal, complemented
10C2×#19127575C212yesmaximal, complemented
11C2×C4×C4⋊Dic83C211yesmaximal, characteristic, complemented
12C2×C4×C22⋊C4×C83C211yesmaximal, characteristic, complemented
13C23×D332C2211yescharacteristic
14C23×C22⋊D83C2212yes—
15C24×Dic83C2212yes—
16C23×C4×D83C2212yes—
17C2×#14581766C4116yescomplemented
18C2×#14581766C2218yes—
19C2×C4×D332—28no—
20C2×C4×D332C2218yescomplemented
21C2×(C22⋊D83)⋊C4—216no—
22C2×(C22⋊D83)⋊C4C22116yescomplemented
23C22×C4⋊Dic83—28no—
24C22×C4⋊Dic83C2212yes—
25C22×C4⋊Dic83C2211yescharacteristic
26C22×C4⋊Dic83C2211yescharacteristic
27C22×C4⋊Dic83C2211yescharacteristic
28C22×C4⋊Dic83C2218yescomplemented
29C22×Dic83⋊C4C2212yes—
30C22×(C2×D83)⋊C4C2212yes—
31C22×(C2×D83)⋊C4C2212yes—
32C22×(C2×D83)⋊C4C2212yes—
33C22×(C2×D83)⋊C4C2212yes—
34C22×C4×Dic83C2212yes—
35#19127603C2218yescomplemented
36#19127599C2218yescomplemented
37#19127593C22116yescomplemented
38#19127578C22116yescomplemented
39#19127575C22116yescomplemented
40C4×C4⋊Dic83C2218yescomplemented
41C2×C83⋊#95C2212yes—
42C2×C83⋊#95C2212yes—
43C24×C4×C83C2211yescharacteristic
44C22×C22⋊C4×C83C2211yescharacteristic
45C22×C22⋊C4×C83C2211yescharacteristic
46C22×C42×C83C2211yescharacteristic
47C22×C42×C83C2211yescharacteristic
48C4×C22⋊C4×C83C2218yescomplemented
49C2×#95×C83C2211yescharacteristic
50C2×#95×C83C2211yescharacteristic
51C24×D83C2312yes—
52C22×D332—24no—
53C22×D332—24no—
54C22×D332C2×C418yescomplemented
55C22×D332C2314yes—
56C22×C22⋊D83—28no—
57C22×C22⋊D83—28no—
58C22×C22⋊D83C2×C4116yescomplemented
59C22×C22⋊D83C2318yes—
60C23×Dic83—28no—
61C23×Dic83—28no—
62C23×Dic83—44no—
63C23×Dic83C2312yes—
64C23×Dic83C2318yes—
65C23×Dic83C2312yes—
66C23×Dic83C2312yes—
67C22×C4×D83—28no—
68C22×C4×D83—28no—
69C22×C4×D83—44no—
70C22×C4×D83C2318yes—
71#14581766C2×C4164yescomplemented
72C4×D332—232no—
73(C22⋊D83)⋊C4—264no—
74C2×C4⋊Dic83—28no—
75C2×C4⋊Dic83—232no—
76C2×C4⋊Dic83—24no—
77C2×C4⋊Dic83C2×C418yescomplemented
78C2×C4⋊Dic83D418yescomplemented
79C2×C4⋊Dic83C2318yes—
80C2×C4⋊Dic83C2314yes—
81C2×C4⋊Dic83C2314yes—
82C2×C4⋊Dic83C2314yes—
83C2×Dic83⋊C4—28no—
84C2×Dic83⋊C4C2318yes—
85C2×(C2×D83)⋊C4—28no—
86C2×(C2×D83)⋊C4—28no—
87C2×(C2×D83)⋊C4—44no—
88C2×(C2×D83)⋊C4C2×C4116yescomplemented
89C2×(C2×D83)⋊C4C2318yes—
90C2×(C2×D83)⋊C4C2318yes—
91C2×(C2×D83)⋊C4C2318yes—
92C2×(C2×D83)⋊C4C2318yes—
93C2×C4×Dic83—28no—
94C2×C4×Dic83C2318yes—
95C83⋊#95C2318yes—
96C83⋊#95C2318yes—
97C25×C83C2311yescharacteristic
98C23×C4×C83—24no—
99C23×C4×C83—24no—
100C23×C4×C83C2×C418yescomplemented
101C23×C4×C83C2311yescharacteristic
102C23×C4×C83C2311yescharacteristic
103C23×C4×C83C2311yescharacteristic
104C23×C4×C83C2314yes—
105C23×C4×C83C2311yescharacteristic
106C23×C4×C83C2311yescharacteristic
107C23×C4×C83C2311yescharacteristic
108C2×C22⋊C4×C83—24no—
109C2×C22⋊C4×C83D418yescomplemented
110C2×C22⋊C4×C83C2314yes—
111C2×C22⋊C4×C83C2314yes—
112C2×C42×C83—24no—
113C2×C42×C83—24no—
114C2×C42×C83C2314yes—
115C2×C42×C83C2314yes—
116#95×C83C2314yes—
117#95×C83C2314yes—
118C23×D83—24no—
119C23×D83—24no—
120C23×D83—24no—
121C23×D83—24no—
122C23×D83—24no—
123C23×D83—24no—
124C23×D83C22×C418yes—
125C23×D83C2414yes—
126C2×D332—232no—
127C2×D332—28no—
128C2×D332—28no—
129C2×D332C22×C4116yescomplemented
130C2×C22⋊D83—264no—
131C2×C22⋊D83—216no—
132C2×C22⋊D83—216no—
133C2×C22⋊D83C22×C4132yescomplemented
134C22×Dic83—24no—
135C22×Dic83—24no—
136C22×Dic83—24no—
137C22×Dic83—24no—
138C22×Dic83—24no—
139C22×Dic83—24no—
140C22×Dic83—216no—
141C22×Dic83—24no—
142C22×Dic83—216no—
143C22×Dic83—48no—
144C22×Dic83—432no—
145C22×Dic83C22×C418yes—
146C22×Dic83C2×D418yes—
147C22×Dic83C2414yes—
148C22×Dic83C2414yes—
149C22×Dic83C2414yes—
150C2×C4×D83—216no—
151C2×C4×D83—216no—
152C2×C4×D83—48no—
153C2×C4×D83—432no—
154C4⋊Dic83—28no—
155C4⋊Dic83—216no—
156C4⋊Dic83C22×C4116yescomplemented
157C4⋊Dic83C2×D4116yescomplemented
158Dic83⋊C4—216no—
159(C2×D83)⋊C4—216no—
160(C2×D83)⋊C4—216no—
161(C2×D83)⋊C4—48no—
162(C2×D83)⋊C4C22×C4132yescomplemented
163C4×Dic83—216no—
164C24×C83—22no—
165C24×C83—22no—
166C24×C83—22no—
167C24×C83—22no—
168C24×C83C22×C414yes—
169C24×C83C2×D414yes—
170C24×C83#4114yes—
171C24×C83C2412yes—
172C24×C83C2411yescharacteristic
173C22×C4×C83—22no—
174C22×C4×C83—22no—
175C22×C4×C83—22no—
176C22×C4×C83—22no—
177C22×C4×C83—22no—
178C22×C4×C83—22no—
179C22×C4×C83—232no—
180C22×C4×C83—28no—
181C22×C4×C83—28no—
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×C83C22×C414yes—
189C22×C4×C83C22×C414yes—
190C22×C4×C83C22×C4116yescomplemented
191C22×C4×C83C2×D414yes—
192C22×C4×C83C2×D414yes—
193C22×C4×C83C2×D414yes—
194C22×C4×C83#4114yes—
195C22×C4×C83C2412yes—
196C22×C4×C83C2412yes—
197C22×C4×C83C2412yes—
198C22×C4×C83C2412yes—
199C22×C4×C83C2412yes—
200C22×C4×C83C2412yes—
201C22⋊C4×C83—28no—
202C22⋊C4×C83C2×D4116yescomplemented
203C42×C83—28no—
204C42×C83—28no—
205C23×C83—28no—
206C23×C83—28no—
207C23×C83—28no—
208C23×C83—28no—
209C23×C83—28no—
210C23×C83—28no—
211C23×C83—22no—
212C23×C83—22no—
213C23×C83—22no—
214C23×C83—22no—
215C23×C83C4×D4116yescomplemented
216C23×C83C23×C414yes—
217C23×C83C23×C412yes—
218C23×C83C22×D412yes—
219C23×C83C22×D414yes—
220C23×C83C22×D412yes—
221C23×C83C2×#4112yes—
222C23×C83C2×#4114yes—
223C23×C83C2×#4112yes—
224C23×C83H(5,𝔽2)12yes—
225C23×C832−1+412yes—
226C23×C83C2511yescharacteristic
227C22×D83—216no—
228C22×D83—216no—
229C22×D83—216no—
230C22×D83—24no—
231C22×D83—24no—
232C22×D83—24no—
233C22×D83—24no—
234C22×D83—24no—
235C22×D83—24no—
236C22×D83—48no—
237C22×D83—48no—
238C22×D83—48no—
239C22×D83—48no—
240C22×D83C23×C418yes—
241C2×C4×C83—28no—
242C2×C4×C83—28no—
243C2×C4×C83—28no—
244C2×C4×C83—22no—
245C2×C4×C83—22no—
246C2×C4×C83—22no—
247C2×C4×C83—22no—
248C2×C4×C83—22no—
249C2×C4×C83—22no—
250C2×C4×C83—232no—
251C2×C4×C83—22no—
252C2×C4×C83—22no—
253C2×C4×C83—22no—
254C2×C4×C83—22no—
255C2×C4×C83—22no—
256C2×C4×C83—22no—
257C2×C4×C83—44no—
258C2×C4×C83—44no—
259C2×C4×C83C4×D4116yescomplemented
260C2×C4×C83C23×C414yes—
261C2×C4×C83C23×C414yes—
262C2×C4×C83C22×D414yes—
263C2×C4×C83C22×D414yes—
264C2×C4×C83C22×D414yes—
265C2×C4×C83C2×#4114yes—
266C22⋊D83—264no—
267C2×Dic83—216no—
268C2×Dic83—216no—
269C2×Dic83—24no—
270C2×Dic83—24no—
271C2×Dic83—24no—
272C2×Dic83—24no—
273C2×Dic83—24no—
274C2×Dic83—24no—
275C2×Dic83—24no—
276C2×Dic83—432no—
277C2×Dic83—48no—
278C2×Dic83C23×C418yes—
279C2×Dic83C22×D418yes—
280D332—232no—
281C4×D83—432no—
282C22×C83—232no—
283C22×C83—24no—
284C22×C83—24no—
285C22×C83—24no—
286C22×C83—24no—
287C22×C83—24no—
288C22×C83—24no—
289C22×C83C2×C4×D414yes—
290C22×C83C2×C4×D414yes—
291C22×C83C2×C4×D418yescomplemented
292C22×C83#52014yes—
293C22×C83D4214yes—
294C22×C83#54714yes—
295C22×C83#54814yes—
296C22×C83#55314yes—
297C22×C83C24×C411yescharacteristic
298C22×C83C23×D411yescharacteristic
299C22×C83C23×D411yescharacteristic
300C22×C83C22×#4111yescharacteristic
301C22×C83C22×#4111yescharacteristic
302C22×C83C2×H(5,𝔽2)11yescharacteristic
303C22×C83C2×2−1+411yescharacteristic
304C2×D83—28no—
305C2×D83—28no—
306C2×D83—28no—
307C2×D83—432no—
308C2×D83—44no—
309C2×D83—44no—
310C2×D83—44no—
311C2×D83—44no—
312C4×C83—24no—
313C4×C83—24no—
314C4×C83—24no—
315C4×C83—42no—
316C4×C83—42no—
317C4×C83C2×C4×D418yescomplemented
318Dic83—28no—
319Dic83—28no—
320Dic83—44no—
321C2×#2361—831nomaximal, Sylow
322C2×C83—28no—
323C2×C83#236118yescomplemented
324C2×C83C22×C4×D411yescharacteristic
325C2×C83C22×C4×D411yescharacteristic
326C2×C83C2×#52011yescharacteristic
327C2×C83C2×D4211yescharacteristic
328C2×C83C2×#54711yescharacteristic
329C2×C83C2×#54811yescharacteristic
330C2×C83C2×#55311yescharacteristic
331D83—48no—
332C22×#121—831no—
333C22×C4×D4—831no—
334C22×C4×D4—832no—
335C23×C4⋊C4—831no—
336#2361—8316no—
337C2×#390—831no—
338C2×#389—831no—
339C2×#388—832no—
340C2×#386—832no—
341C2×#385—832no—
342C2×C4×C4⋊C4—831no—
343C2×C4×C22⋊C4D8311yescharacteristic, complemented
344C83C2×#236111yescharacteristic, complemented, Sylow
345C23×D4—832no—
346C23×D4—831no—
347C24×C4—832no—
348C24×C4—832no—
349C24×C4C2×D8311yescharacteristic
350C2×#121—8316no—
351C2×#121—838no—
352C2×C4×D4—8316no—
353C2×C4×D4—838no—
354C2×C4×D4—1668no—
355C2×C4×D4—16616no—
356C22×C4⋊C4—831no—
357C22×C4⋊C4—831no—
358C22×C4⋊C4—838no—
359C22×C4⋊C4—832no—
360C22×C4⋊C4—832no—
361C22×C4⋊C4—831no—
362C22×C4⋊C4—1668no—
363C22×C22⋊C4—832no—
364C22×C22⋊C4—832no—
365C22×C22⋊C4—832no—
366C22×C22⋊C4—832no—
367C22×C22⋊C4C2×D8311yescharacteristic
368C22×C22⋊C4C2×D8311yescharacteristic
369C22×C42—832no—
370C22×C42C2×D8311yescharacteristic
371C22×C42C2×D8311yescharacteristic
372#390—838no—
373#389—838no—
374#388—8316no—
375#386—8316no—
376#385—8316no—
377C4×C4⋊C4—838no—
378C4×C22⋊C4C2×D8318yescomplemented
379C2×#95—832no—
380C2×#95—832no—
381C2×#95C2×D8311yescharacteristic
382C2×#95C2×D8311yescharacteristic
383C25—832no—
384C25C22×D8311yescharacteristic
385C22×D4—8316no—
386C22×D4—838no—
387C22×D4—838no—
388C22×D4—834no—
389C22×D4—1668no—
390C22×D4—1668no—
391C22×D4—1664no—
392C22×D4—1664no—
393C23×C4—24no—
394C23×C4—24no—
395C23×C4—3324no—
396C23×C4—3324no—
397C23×C4—838no—
398C23×C4—838no—
399C23×C4—832no—
400C23×C4—832no—
401C23×C4—832no—
402C23×C4—1668no—
403C23×C4—1668no—
404C23×C4—1668no—
405C23×C4—1668no—
406C23×C4C4×D8318yescomplemented
407C23×C4C22×D8311yescharacteristic
408C23×C4C22×D8311yescharacteristic
409C23×C4C22×D8311yescharacteristic
410C23×C4C22×D8314yes—
411C23×C4C22×D8311yescharacteristic
412C23×C4C22×D8311yescharacteristic
413C23×C4C22×D8311yescharacteristic
414#121—8364no—
415C4×D4—16632no—
416C4×D4—16664no—
417C2×C4⋊C4—838no—
418C2×C4⋊C4—838no—
419C2×C4⋊C4—834no—
420C2×C4⋊C4—834no—
421C2×C4⋊C4—838no—
422C2×C4⋊C4—834no—
423C2×C4⋊C4—838no—
424C2×C4⋊C4—16632no—
425C2×C4⋊C4—1668no—
426C2×C4⋊C4—1664no—
427C2×C4⋊C4—1668no—
428C2×C22⋊C4—24no—
429C2×C22⋊C4—3324no—
430C2×C22⋊C4—838no—
431C2×C22⋊C4—8316no—
432C2×C22⋊C4—838no—
433C2×C22⋊C4—838no—
434C2×C22⋊C4—838no—
435C2×C22⋊C4—1668no—
436C2×C22⋊C4—1668no—
437C2×C22⋊C4D33218yescomplemented
438C2×C22⋊C4C22×D8314yes—
439C2×C22⋊C4C22×D8314yes—
440C2×C42—24no—
441C2×C42—24no—
442C2×C42—838no—
443C2×C42—1668no—
444C2×C42C22×D8314yes—
445C2×C42C22×D8314yes—
446#95—838no—
447#95—838no—
448#95C22×D8314yes—
449#95C22×D8314yes—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—838no—
455C24—834no—
456C24—1664no—
457C24—1664no—
458C24—1664no—
459C24—1664no—
460C24—1664no—
461C24—1664no—
462C24C2×C4×D8314yes—
463C24C2×D33214yes—
464C24#1305059014yes—
465C24C23×D8312yes—
466C24C23×D8311yescharacteristic
467C2×D4—8332no—
468C2×D4—8316no—
469C2×D4—16616no—
470C2×D4—16616no—
471C2×D4—16664no—
472C2×D4—1668no—
473C2×D4—1668no—
474C2×D4—16632no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—28no—
482C22×C4—28no—
483C22×C4—232no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—33232no—
491C22×C4—3328no—
492C22×C4—33232no—
493C22×C4—3328no—
494C22×C4—838no—
495C22×C4—838no—
496C22×C4—834no—
497C22×C4—834no—
498C22×C4—834no—
499C22×C4—16616no—
500C22×C4—16616no—
501C22×C4—1664no—
502C22×C4—1664no—
503C22×C4—16616no—
504C22×C4—1664no—
505C22×C4—16616no—
506C22×C4—1664no—
507C22×C4—1664no—
508C22×C4—1664no—
509C22×C4—1664no—
510C22×C4C2×C4×D8314yes—
511C22×C4C2×C4×D8314yes—
512C22×C4C2×C4×D83116yescomplemented
513C22×C4D4×D8314yes—
514C22×C4C2×D33214yes—
515C22×C4C2×D33214yes—
516C22×C4#1305058914yes—
517C22×C4C23×D8312yes—
518C22×C4C23×D8312yes—
519C22×C4C23×D8312yes—
520C22×C4C23×D8312yes—
521C22×C4C23×D8312yes—
522C22×C4C23×D8312yes—
523C4⋊C4—8316no—
524C4⋊C4—8316no—
525C4⋊C4—16616no—
526C4⋊C4—1668no—
527C4⋊C4—16616no—
528C22⋊C4—28no—
529C22⋊C4—3328no—
530C22⋊C4—8332no—
531C22⋊C4—16616no—
532C22⋊C4—16616no—
533C22⋊C4C2×D332116yescomplemented
534C42—28no—
535C42—28no—
536C42—16616no—
537C23—28no—
538C23—28no—
539C23—28no—
540C23—28no—
541C23—28no—
542C23—28no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—3328no—
548C23—3328no—
549C23—3328no—
550C23—3328no—
551C23—838no—
552C23—16616no—
553C23—16616no—
554C23—16616no—
555C23—1664no—
556C23—1664no—
557C23—1664no—
558C23—1664no—
559C23—1664no—
560C23—1664no—
561C23C4×D332116yescomplemented
562C23C22×C4×D8314yes—
563C23C22×C4×D8312yes—
564C23C2×D4×D8312yes—
565C23C22×D33214yes—
566C23C22×D33212yes—
567C23C2×#1305058912yes—
568C23C2×#1305059014yes—
569C23C2×#1305059012yes—
570C23#1458183812yes—
571C23#1458183912yes—
572C23C24×D8311yescharacteristic
573D4—16664no—
574D4—16632no—
575C2×C4—28no—
576C2×C4—28no—
577C2×C4—28no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—232no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—44no—
592C2×C4—44no—
593C2×C4—33232no—
594C2×C4—3328no—
595C2×C4—33232no—
596C2×C4—838no—
597C2×C4—838no—
598C2×C4—1664no—
599C2×C4—1664no—
600C2×C4—1664no—
601C2×C4—16616no—
602C2×C4—16616no—
603C2×C4—1664no—
604C2×C4—1664no—
605C2×C4—1664no—
606C2×C4—1664no—
607C2×C4(C22⋊D83)⋊C4116yescomplemented
608C2×C4C22×C4×D8314yes—
609C2×C4C22×C4×D8314yes—
610C2×C4C2×D4×D8314yes—
611C2×C4C22×D33214yes—
612C2×C4C22×D33214yes—
613C2×C4C2×#1305058914yes—
614C22—24no—
615C22—24no—
616C22—24no—
617C22—24no—
618C22—24no—
619C22—232no—
620C22—24no—
621C22—3324no—
622C22—3324no—
623C22—3324no—
624C22—33232no—
625C22—3324no—
626C22—1668no—
627C22—1668no—
628C22—1668no—
629C22C2×(C22⋊D83)⋊C414yes—
630C22C2×C4×D33214yes—
631C22C2×C4×D33218yescomplemented
632C22#1912818114yes—
633C22D4×D33214yes—
634C22#1912835514yes—
635C22#1912836014yes—
636C22#1912839714yes—
637C22C23×C4×D8311yescharacteristic
638C22C22×D4×D8311yescharacteristic
639C22C23×D33211yescharacteristic
640C22C22×#1305058911yescharacteristic
641C22C22×#1305059011yescharacteristic
642C22C2×#1458183811yescharacteristic
643C22C2×#1458183911yescharacteristic
644C4—24no—
645C4—24no—
646C4—24no—
647C4—42no—
648C4—42no—
649C4—3324no—
650C4—1668no—
651C4—1668no—
652C4C2×(C22⋊D83)⋊C418yescomplemented
653C2—28no—
654C2—3328no—
655C2#2491047718yesdirect product factor
656C2C22×(C22⋊D83)⋊C411yescharacteristic
657C2C22×C4×D33211yescharacteristic
658C2C2×#1912818111yescharacteristic
659C2C2×D4×D33211yescharacteristic
660C2C2×#1912835511yescharacteristic
661C2C2×#1912836011yescharacteristic
662C2C2×#1912839711yescharacteristic
subgroupG/H
centerC24C23×D83
commutatorC22×C83C24×C4
FrattiniC23C24×D83
FittingC2×C4×C22⋊C4×C83C2
socleC24×C83C24
prime radicalC22×#14581766C2
cosocleC23×C83C25
hypercenterC2×C4×C22⋊C4D83
hypocenterC83C2×#2361
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×C4×D332C2semidirect
3. C22×(C22⋊D83)⋊C4C2semidirect
4. C23×C4⋊Dic83C2semidirect
5. #24910477C2direct (N × H)
6. C2×#19127603C2semidirect
7. C2×#19127599C2semidirect
8. C2×#19127593C2semidirect
9. C2×#19127578C2semidirect
10. C2×#19127575C2semidirect
11. C2×C4×C4⋊Dic83C2semidirect
12. C2×C4×C22⋊C4×C83C2semidirect
17. C2×#14581766C4semidirect
20. C2×C4×D332C22semidirect
22. C2×(C22⋊D83)⋊C4C22semidirect
28. C22×C4⋊Dic83C22semidirect
35. #19127603C22semidirect
36. #19127599C22semidirect
37. #19127593C22semidirect
38. #19127578C22semidirect
39. #19127575C22semidirect
40. C4×C4⋊Dic83C22semidirect
48. C4×C22⋊C4×C83C22semidirect
54. C22×D332C2×C4semidirect
58. C22×C22⋊D83C2×C4semidirect
71. #14581766C2×C4semidirect
77. C2×C4⋊Dic83C2×C4semidirect
78. C2×C4⋊Dic83D4semidirect
88. C2×(C2×D83)⋊C4C2×C4semidirect
100. C23×C4×C83C2×C4semidirect
109. C2×C22⋊C4×C83D4semidirect
129. C2×D332C22×C4semidirect
133. C2×C22⋊D83C22×C4semidirect
156. C4⋊Dic83C22×C4semidirect
157. C4⋊Dic83C2×D4semidirect
162. (C2×D83)⋊C4C22×C4semidirect
190. C22×C4×C83C22×C4semidirect
202. C22⋊C4×C83C2×D4semidirect
215. C23×C83C4×D4semidirect
259. C2×C4×C83C4×D4semidirect
291. C22×C83C2×C4×D4semidirect
317. C4×C83C2×C4×D4semidirect
323. C2×C83#2361semidirect
343. C2×C4×C22⋊C4D83semidirect
344. C83C2×#2361semidirect
378. C4×C22⋊C4C2×D83semidirect
406. C23×C4C4×D83semidirect
437. C2×C22⋊C4D332semidirect
512. C22×C4C2×C4×D83semidirect
533. C22⋊C4C2×D332semidirect
561. C23C4×D332semidirect
607. C2×C4(C22⋊D83)⋊C4semidirect
631. C22C2×C4×D332semidirect
652. C4C2×(C22⋊D83)⋊C4semidirect
655. C2#24910477direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145817662
C22×C4×D3322
C22×(C22⋊D83)⋊C42
C23×C4⋊Dic832
#249104772
C2×#191276032
C2×#191275992
C2×#191275932
C2×#191275782
C2×#191275752
C2×C4×C4⋊Dic832
C2×C4×C22⋊C4×C832
C2×#236183