Finite Group Databasebeta

← #35228686

Subgroups — #35228686

Order 20864.

1336 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23782408C211yesmaximal, characteristic, complemented
2#23782403C212yesmaximal, complemented
3#23782402C211yesmaximal, characteristic, complemented
4#23782346C211yesmaximal, characteristic, complemented
5#23782344C212yesmaximal, complemented
6#23782309C212yesmaximal, complemented
7#23782304C212yesmaximal, complemented
8#23782302C212yesmaximal, complemented
9D4×C22⋊D163C212yesmaximal, complemented
10#23782252C212yesmaximal, complemented
11#23782248C212yesmaximal, complemented
12#23782247C212yesmaximal, complemented
13#23782230C212yesmaximal, complemented
14#23782228C211yesmaximal, characteristic, complemented
15#23782225C211yesmaximal, characteristic, complemented
16#23782224C212yesmaximal, complemented
17C2×#19104703C212yesmaximal, complemented
18#120×D163C211yesmaximal, characteristic, complemented
19D42×C163C211yesmaximal, characteristic, complemented
20C24×D163C2211yescharacteristic, complemented
21C2×#14579698C2212yescomplemented
22C2×#14579698C2211yescharacteristic, complemented
23C22×C22⋊D163C2212yescomplemented
24C22×C22⋊D163C2212yescomplemented
25C22×C22⋊D163C2211yescharacteristic, complemented
26C2×D4×D163C2211yescharacteristic, complemented
27C2×D4×D163C2212yescomplemented
28#19104731C2212yescomplemented
29#19104731C2211yescharacteristic, complemented
30#19104730C2212yescomplemented
31#19104730C2212yescomplemented
32#19104729C2212yescomplemented
33#19104728C2212yescomplemented
34#19104723C2211yescharacteristic, complemented
35#19104722C2211yescharacteristic, complemented
36#19104722C2212yescomplemented
37#19104721C2212yescomplemented
38#19104721C2212yescomplemented
39#19104721C2212yescomplemented
40#19104721C2212yescomplemented
41#19104720C2212yescomplemented
42#19104719C2212yescomplemented
43#19104719C2211yescharacteristic, complemented
44#19104718C2212yescomplemented
45#19104718C2212yescomplemented
46#19104717C2212yescomplemented
47#19104716C2211yescharacteristic, complemented
48#19104716C2212yescomplemented
49#19104716C2212yescomplemented
50#19104716C2212yescomplemented
51#19104714C2212yescomplemented
52#19104713C2212yescomplemented
53#19104712C2212yescomplemented
54#19104709C2212yescomplemented
55#19104708C2212yescomplemented
56#19104708C2212yescomplemented
57#19104707C2212yescomplemented
58#19104707C2212yescomplemented
59#19104707C2212yescomplemented
60#19104707C2212yescomplemented
61#19104707C2212yescomplemented
62#19104707C2212yescomplemented
63#19104707C2212yescomplemented
64#19104707C2212yescomplemented
65#19104706C2212yescomplemented
66#19104706C2212yescomplemented
67#19104705C2211yescharacteristic, complemented
68#19104705C2212yescomplemented
69#19104704C2211yescharacteristic, complemented
70#19104704C2212yescomplemented
71#19104704C2212yescomplemented
72#19104704C2211yescharacteristic, complemented
73#19104703C2212yes—
74#19104703C2212yescomplemented
75#19104703C2211yescharacteristic, complemented
76#19104703C2212yescomplemented
77#19104703C2212yescomplemented
78#19104703C2212yescomplemented
79#19104703C2212yescomplemented
80#19104703C2212yescomplemented
81#19104703C2212yescomplemented
82#19104703C2212yescomplemented
83#19104703C2212yescomplemented
84D4×Dic163C2212yescomplemented
85D4×Dic163C2212yescomplemented
86C4×C22⋊D163C2212yescomplemented
87C4×C22⋊D163C2212yescomplemented
88(C22⋊D163)⋊C4C2212yescomplemented
89#19104692C2211yescharacteristic, complemented
90#19104691C2212yescomplemented
91C2×C22⋊Dic163C2212yescomplemented
92C2×C22⋊Dic163C2212yescomplemented
93C2×(C2×D163)⋊C4C2212yescomplemented
94C2×(C2×D163)⋊C4C2212yescomplemented
95C22⋊C4×D163C2211yescharacteristic, complemented
96C22⋊C4×D163C2212yescomplemented
97C22⋊C4×D163C2211yescharacteristic, complemented
98C22×D4×C163C2212yescomplemented
99C22×D4×C163C2212yescomplemented
100#127×C163C2211yescharacteristic, complemented
101#121×C163C2212yescomplemented
102#121×C163C2212yescomplemented
103#120×C163C2211yescharacteristic
104#120×C163C2212yescomplemented
105#120×C163C2211yescharacteristic, complemented
106C4×D4×C163C2212yescomplemented
107C23×D163—44no—
108C23×D163—42no—
109C23×D163C2312yes—
110C23×D163C2311yescharacteristic
111C23×D163C2311yescharacteristic
112C23×D163C2312yes—
113C23×D163C2311yescharacteristic
114#14579698—44no—
115#14579698—42no—
116C2×Dic326C2311yescharacteristic, complemented
117C2×Dic326C2312yescomplemented
118C2×D652C2311yescharacteristic
119C2×D652C2312yes—
120C2×C22⋊D163—44no—
121C2×C22⋊D163—44no—
122C2×C22⋊D163—42no—
123C2×C22⋊D163C2312yes—
124C2×C22⋊D163C2312yes—
125C2×C22⋊D163C2312yes—
126C2×C22⋊D163C2311yescharacteristic
127C2×C22⋊D163C2312yes—
128C2×C22⋊D163C2311yescharacteristic
129C2×C22⋊D163C2312yes—
130C2×C22⋊D163C2312yes—
131C2×C22⋊D163C2312yes—
132C2×C22⋊D163C2312yes—
133C2×C22⋊D163C2312yes—
134C2×C22⋊D163C2312yes—
135C2×C22⋊D163C2312yescomplemented
136C2×C22⋊D163C2312yescomplemented
137D4×D163—44no—
138D4×D163—42no—
139C22×Dic163C2312yes—
140C22×Dic163C2312yes—
141C22×Dic163C2311yescharacteristic, complemented
142C22×Dic163C2312yescomplemented
143C22×Dic163C2312yescomplemented
144C2×C4×D163C2311yescharacteristic
145C2×C4×D163C2312yes—
146C2×C4×D163C2312yescomplemented
147C4⋊Dic163C2312yescomplemented
148C4⋊Dic163C2312yescomplemented
149Dic163⋊C4C2312yescomplemented
150Dic163⋊C4C2312yescomplemented
151Dic163⋊C4C2312yescomplemented
152Dic163⋊C4C2312yescomplemented
153Dic163⋊C4C2312yescomplemented
154Dic163⋊C4C2312yescomplemented
155C22⋊Dic163C2312yes—
156C22⋊Dic163C2311yescharacteristic
157C22⋊Dic163C2312yes—
158C22⋊Dic163C2312yes—
159C22⋊Dic163C2312yes—
160C22⋊Dic163C2312yes—
161C22⋊Dic163C2311yescharacteristic, complemented
162C22⋊Dic163C2312yescomplemented
163C22⋊Dic163C2312yescomplemented
164C22⋊Dic163C2312yescomplemented
165C22⋊Dic163C2312yescomplemented
166C22⋊Dic163C2312yescomplemented
167(C2×D163)⋊C4C2312yes—
168(C2×D163)⋊C4C2312yes—
169(C2×D163)⋊C4C2312yes—
170(C2×D163)⋊C4C2312yes—
171(C2×D163)⋊C4C2312yes—
172(C2×D163)⋊C4C2312yes—
173(C2×D163)⋊C4C2312yes—
174(C2×D163)⋊C4C2312yes—
175(C2×D163)⋊C4C2312yes—
176(C2×D163)⋊C4C2312yes—
177(C2×D163)⋊C4C2312yes—
178(C2×D163)⋊C4C2312yescomplemented
179C4×Dic163C2311yescharacteristic, complemented
180C4×Dic163C2312yescomplemented
181C4×Dic163C2312yescomplemented
182C24×C163C2311yescharacteristic
183C24×C163C2312yes—
184C24×C163C2311yescharacteristic, complemented
185C2×D4×C163—44no—
186C2×D4×C163—44no—
187C2×D4×C163C2312yes—
188C2×D4×C163C2312yes—
189C2×D4×C163C2312yes—
190C2×D4×C163C2311yescharacteristic
191C2×D4×C163C2312yes—
192C2×D4×C163C2312yes—
193C2×D4×C163C2311yescharacteristic, complemented
194C2×D4×C163C2312yescomplemented
195C2×D4×C163C2312yescomplemented
196C22×C4×C163C2312yes—
197C22×C4×C163C2312yescomplemented
198C4⋊C4×C163C2312yescomplemented
199C22⋊C4×C163C2312yes—
200C22⋊C4×C163C2311yescharacteristic
201C22⋊C4×C163C2312yescomplemented
202C22⋊C4×C163C2311yescharacteristic, complemented
203C22⋊C4×C163C2312yescomplemented
204C42×C163C2311yescharacteristic, complemented
205C22×D163—24no—
206C22×D163—24no—
207C22×D163—22no—
208C22×D163—24no—
209C22×D163—22no—
210C22×D163—42no—
211C22×D163—42no—
212C22×D163—41no—
213C22×D163—42no—
214C22×D163—42no—
215C22×D163—42no—
216C22×D163—42no—
217C22×D163—416no—
218C22×D163C2412yes—
219C22×D163C2411yescharacteristic
220C22×D163C2411yescharacteristic
221C22×D163C2411yescharacteristic
222Dic326—42no—
223Dic326—41no—
224D652—42no—
225D652—41no—
226C22⋊D163—24no—
227C22⋊D163—24no—
228C22⋊D163—24no—
229C22⋊D163—41no—
230C22⋊D163—41no—
231C22⋊D163—42no—
232C22⋊D163—42no—
233C22⋊D163—42no—
234C22⋊D163—42no—
235C22⋊D163—42no—
236C22⋊D163—42no—
237C22⋊D163—42no—
238C22⋊D163—42no—
239C22⋊D163—42no—
240C2×Dic163—24no—
241C2×Dic163—42no—
242C2×Dic163—41no—
243C2×Dic163—42no—
244C2×Dic163—42no—
245C2×Dic163C2412yes—
246C2×Dic163C2412yes—
247C2×Dic163C2412yes—
248C2×Dic163C2412yes—
249C2×Dic163C2412yes—
250C2×Dic163C2411yescharacteristic
251C4×D163—22no—
252C4×D163—42no—
253C4×D163—42no—
254C23×C163—24no—
255C23×C163—24no—
256C23×C163—41no—
257C23×C163—42no—
258C23×C163—42no—
259C23×C163—42no—
260C23×C163—41no—
261C23×C163C2411yescharacteristic
262C23×C163C2412yes—
263C23×C163C2411yescharacteristic
264C23×C163C2412yes—
265C23×C163C2412yes—
266D4×C163—24no—
267D4×C163—24no—
268D4×C163—24no—
269D4×C163—42no—
270D4×C163—42no—
271D4×C163—42no—
272D4×C163—42no—
273D4×C163—41no—
274D4×C163—41no—
275C2×C4×C163—42no—
276C2×C4×C163—42no—
277C2×C4×C163C2411yescharacteristic
278C2×C4×C163C2412yes—
279C2×C4×C163C2412yes—
280C2×C4×C163C2412yes—
281C22×C163—22no—
282C22×C163—22no—
283C22×C163—22no—
284C22×C163—22no—
285C22×C163—22no—
286C22×C163—22no—
287C22×C163—22no—
288C22×C163—22no—
289C22×C163—22no—
290C22×C163—21no—
291C22×C163—21no—
292C22×C163—22no—
293C22×C163—44no—
294C22×C163—84no—
295C22×C163—82no—
296C22×C163H(5,𝔽2)14yes—
297C22×C163C2511yescharacteristic
298C2×D163—22no—
299C2×D163—22no—
300C2×D163—21no—
301C2×D163—22no—
302C2×D163—22no—
303C2×D163—22no—
304C2×D163—21no—
305C2×D163—22no—
306C2×D163—48no—
307C2×D163—44no—
308C2×D163—48no—
309C2×D163—44no—
310C2×D163—82no—
311C2×D163H(5,𝔽2)12yes—
312C4×C163—22no—
313C4×C163—22no—
314C4×C163—22no—
315C4×C163—21no—
316Dic163—21no—
317Dic163—22no—
318Dic163—22no—
319Dic163—22no—
320Dic163—22no—
321Dic163—22no—
322C2×C163—24no—
323C2×C163—41no—
324C2×C163—41no—
325C2×C163—42no—
326C2×C163—42no—
327C2×C163C2×H(5,𝔽2)11yescharacteristic
328C2×C163C2×H(5,𝔽2)12yes—
329D163—22no—
330D163—42no—
331D163—41no—
332D163—41no—
333C163#353211yescharacteristic, complemented, Sylow
334#3532—1631nomaximal, Sylow
335H(3,𝔽4)—1631no—
336#560—1631no—
337#560—1632no—
338#551—1631no—
339#551—1632no—
340#546—1632no—
341#546—1632no—
342#546—1632no—
343D42—1632no—
344D42D16311yescharacteristic, complemented
345#538—1632no—
346#538—1632no—
347#538—1632no—
348#535—1631no—
349#535—1632no—
350#534—1632no—
351#534—1631no—
352C2×#120—1632no—
353C2×#120—1631no—
354C25—1631no—
355C2×#41—1632no—
356C2×#41—1631no—
357C22×D4—1632no—
358C22×D4—1632no—
359C22×D4—1631no—
360C22×D4—1631no—
361C22×D4—1632no—
362C22×D4C2×D16312yescomplemented
363C22×D4C2×D16312yescomplemented
364#127—1631no—
365#127—1632no—
366#127C2×D16311yescharacteristic, complemented
367#126—1632no—
368#126—1632no—
369#126—1632no—
370#126—1632no—
371#124—1631no—
372#124—1632no—
373#124—1632no—
374#124—1632no—
375#124—1632no—
376#124—1632no—
377#124—1631no—
378#123—1632no—
379#123—1632no—
380#123—1631no—
381#123—1632no—
382#123—1632no—
383#123—1632no—
384#123—1632no—
385#123—1631no—
386#123—1632no—
387#123—1632no—
388C22⋊Q8—1632no—
389C22⋊Q8—1632no—
390C22⋊Q8—1632no—
391#121—1632no—
392#121—1632no—
393#121—1632no—
394#121—1632no—
395#121—1632no—
396#121—1632no—
397#121—1632no—
398#121—1632no—
399#121—1632no—
400#121—1632no—
401#121—1632no—
402#121—1632no—
403#121—1632no—
404#121C2×D16312yescomplemented
405#121C2×D16312yescomplemented
406#120—1631no—
407#120—1632no—
408#120—1631no—
409#120—1632no—
410#120—1632no—
411#120—1632no—
412#120—1632no—
413#120—1632no—
414#120—1632no—
415#120—1632no—
416#120—1632no—
417#120—1632no—
418#120—1632no—
419#120—1631no—
420#120—1632no—
421#120—1632no—
422#120—1631no—
423#120C2×D16311yescharacteristic
424#120C2×D16312yescomplemented
425#120C2×D16311yescharacteristic, complemented
426C4×D4—1632no—
427C4×D4—1632no—
428C4×D4—1632no—
429C4×D4—1632no—
430C4×D4—1632no—
431C4×D4C2×D16312yescomplemented
432#117—1632no—
433#117—1631no—
434C2×C22⋊C4—1632no—
435C2×C22⋊C4—1632no—
436C2×C22⋊C4—1632no—
437C2×C22⋊C4—1632no—
438C2×C22⋊C4—1631no—
439C2×C22⋊C4—1632no—
440C2×C22⋊C4—1631no—
441C24—6524no—
442C24—6522no—
443C24—1632no—
444C24—1631no—
445C24—1632no—
446C24—1631no—
447C24—1631no—
448C24C22×D16311yescharacteristic
449C24C22×D16312yes—
450C24C22×D16311yescharacteristic, complemented
451#41—6524no—
452#41—6522no—
453C2×Q8—1632no—
454C2×Q8—1631no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—6522no—
458C2×D4—6524no—
459C2×D4—6524no—
460C2×D4—6522no—
461C2×D4—6524no—
462C2×D4—1632no—
463C2×D4—1632no—
464C2×D4—1632no—
465C2×D4—1631no—
466C2×D4—1632no—
467C2×D4—1632no—
468C2×D4—1632no—
469C2×D4—1632no—
470C2×D4—1632no—
471C2×D4—1631no—
472C2×D4—1632no—
473C2×D4—1632no—
474C2×D4—1632no—
475C2×D4—1632no—
476C2×D4—1632no—
477C2×D4—1631no—
478C2×D4C22×D16312yes—
479C2×D4C22×D16312yes—
480C2×D4C22×D16312yes—
481C2×D4C22×D16312yes—
482C2×D4C22×D16312yes—
483C2×D4C22×D16311yescharacteristic
484C2×D4C22×D16312yescomplemented
485C2×D4C22×D16311yescharacteristic, complemented
486C2×D4C22×D16312yescomplemented
487C22×C4—1632no—
488C22×C4—1631no—
489C22×C4—1632no—
490C22×C4—1632no—
491C22×C4—1632no—
492C22×C4—1631no—
493C22×C4—1632no—
494C22×C4—1632no—
495C22×C4C22×D16312yes—
496C22×C4C22×D16312yescomplemented
497C4⋊C4—1632no—
498C4⋊C4—1632no—
499C4⋊C4—1632no—
500C4⋊C4—1632no—
501C4⋊C4—1632no—
502C4⋊C4—1632no—
503C4⋊C4—1632no—
504C4⋊C4—1632no—
505C4⋊C4C22×D16312yescomplemented
506C22⋊C4—1632no—
507C22⋊C4—1632no—
508C22⋊C4—1632no—
509C22⋊C4—1632no—
510C22⋊C4—1632no—
511C22⋊C4—1631no—
512C22⋊C4—1631no—
513C22⋊C4—1632no—
514C22⋊C4—1632no—
515C22⋊C4—1632no—
516C22⋊C4—1632no—
517C22⋊C4—1632no—
518C22⋊C4—1632no—
519C22⋊C4—1632no—
520C22⋊C4—1632no—
521C22⋊C4—1632no—
522C22⋊C4—1632no—
523C22⋊C4—1632no—
524C22⋊C4—1632no—
525C22⋊C4—1632no—
526C22⋊C4—1632no—
527C22⋊C4—1632no—
528C22⋊C4—1632no—
529C22⋊C4—1632no—
530C22⋊C4C22×D16312yes—
531C22⋊C4C22×D16311yescharacteristic
532C22⋊C4C22×D16311yescharacteristic, complemented
533C22⋊C4C22×D16312yescomplemented
534C22⋊C4C22×D16312yescomplemented
535C42—1631no—
536C42—1632no—
537C42—1632no—
538C42C22×D16311yescharacteristic, complemented
539C23—24no—
540C23—24no—
541C23—41no—
542C23—42no—
543C23—42no—
544C23—42no—
545C23—41no—
546C23—3262no—
547C23—3264no—
548C23—3262no—
549C23—3264no—
550C23—3264no—
551C23—6522no—
552C23—6522no—
553C23—6522no—
554C23—6522no—
555C23—6521no—
556C23—6522no—
557C23—6522no—
558C23—65216no—
559C23—1632no—
560C23—1631no—
561C23—1631no—
562C23—1631no—
563C23C23×D16311yescharacteristic
564C23C23×D16311yescharacteristic
565C23C23×D16312yes—
566C23C23×D16312yes—
567C23C23×D16312yes—
568Q8—6521no—
569Q8—6522no—
570D4—24no—
571D4—24no—
572D4—24no—
573D4—42no—
574D4—42no—
575D4—42no—
576D4—42no—
577D4—41no—
578D4—41no—
579D4—3264no—
580D4—3264no—
581D4—3264no—
582D4—6521no—
583D4—6522no—
584D4—6521no—
585D4—6521no—
586D4—6522no—
587D4—6522no—
588D4—6522no—
589D4—6522no—
590D4—6522no—
591D4—6522no—
592D4—6522no—
593D4—6522no—
594D4—6522no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—3262no—
598C2×C4—3264no—
599C2×C4—6522no—
600C2×C4—6522no—
601C2×C4—6521no—
602C2×C4—6522no—
603C2×C4—6522no—
604C2×C4—6522no—
605C2×C4—1632no—
606C2×C4—1632no—
607C2×C4—1632no—
608C2×C4—1632no—
609C2×C4—1631no—
610C2×C4—1632no—
611C2×C4C23×D16311yescharacteristic
612C2×C4C23×D16312yes—
613C2×C4C23×D16312yes—
614C2×C4C23×D16312yes—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—21no—
619C22—21no—
620C22—22no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—22no—
625C22—22no—
626C22—22no—
627C22—44no—
628C22—84no—
629C22—82no—
630C22—13042no—
631C22—3262no—
632C22—3261no—
633C22—3261no—
634C22—3262no—
635C22—3262no—
636C22—3262no—
637C22—3262no—
638C22—3262no—
639C22—6528no—
640C22—6528no—
641C22—6524no—
642C22—6524no—
643C22—1632no—
644C22#1910478014yes—
645C22C24×D16311yescharacteristic
646C4—21no—
647C4—22no—
648C4—22no—
649C4—22no—
650C4—3261no—
651C4—3262no—
652C4—3262no—
653C4—3262no—
654C4—3262no—
655C4—3262no—
656C2—24no—
657C2—41no—
658C2—42no—
659C2—41no—
660C2—42no—
661C2—3262no—
662C2—6521no—
663C2—6522no—
664C2—6521no—
665C2H(5,𝔽2)×D16311yescharacteristic
666C2C2×#1910478012yes—
subgroupG/H
center, FrattiniC22C24×D163
commutator, socle, cosocleC22×C163C25
FittingD42×C163C2
hypercenterD42D163
hypocenterC163#3532
LCSG ▷ C22×C163 ▷ C163
UCSC1 ◁ C22 ◁ D42

Complements

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

NH ≅ G/Ntype
1. #23782408C2semidirect
2. #23782403C2semidirect
3. #23782402C2semidirect
4. #23782346C2semidirect
5. #23782344C2semidirect
6. #23782309C2semidirect
7. #23782304C2semidirect
8. #23782302C2semidirect
9. D4×C22⋊D163C2semidirect
10. #23782252C2semidirect
11. #23782248C2semidirect
12. #23782247C2semidirect
13. #23782230C2semidirect
14. #23782228C2semidirect
15. #23782225C2semidirect
16. #23782224C2semidirect
17. C2×#19104703C2semidirect
18. #120×D163C2semidirect
19. D42×C163C2semidirect
20. C24×D163C22semidirect
21. C2×#14579698C22semidirect
22. C2×#14579698C22semidirect
23. C22×C22⋊D163C22semidirect
24. C22×C22⋊D163C22semidirect
25. C22×C22⋊D163C22semidirect
26. C2×D4×D163C22semidirect
27. C2×D4×D163C22semidirect
28. #19104731C22semidirect
29. #19104731C22semidirect
30. #19104730C22semidirect
31. #19104730C22semidirect
32. #19104729C22semidirect
33. #19104728C22semidirect
34. #19104723C22semidirect
35. #19104722C22semidirect
36. #19104722C22semidirect
37. #19104721C22semidirect
38. #19104721C22semidirect
39. #19104721C22semidirect
40. #19104721C22semidirect
41. #19104720C22semidirect
42. #19104719C22semidirect
43. #19104719C22semidirect
44. #19104718C22semidirect
45. #19104718C22semidirect
46. #19104717C22semidirect
47. #19104716C22semidirect
48. #19104716C22semidirect
49. #19104716C22semidirect
50. #19104716C22semidirect
51. #19104714C22semidirect
52. #19104713C22semidirect
53. #19104712C22semidirect
54. #19104709C22semidirect
55. #19104708C22semidirect
56. #19104708C22semidirect
57. #19104707C22semidirect
58. #19104707C22semidirect
59. #19104707C22semidirect
60. #19104707C22semidirect
61. #19104707C22semidirect
62. #19104707C22semidirect
63. #19104707C22semidirect
64. #19104707C22semidirect
65. #19104706C22semidirect
66. #19104706C22semidirect
67. #19104705C22semidirect
68. #19104705C22semidirect
69. #19104704C22semidirect
70. #19104704C22semidirect
71. #19104704C22semidirect
72. #19104704C22semidirect
74. #19104703C22semidirect
75. #19104703C22semidirect
76. #19104703C22semidirect
77. #19104703C22semidirect
78. #19104703C22semidirect
79. #19104703C22semidirect
80. #19104703C22semidirect
81. #19104703C22semidirect
82. #19104703C22semidirect
83. #19104703C22semidirect
84. D4×Dic163C22semidirect
85. D4×Dic163C22semidirect
86. C4×C22⋊D163C22semidirect
87. C4×C22⋊D163C22semidirect
88. (C22⋊D163)⋊C4C22semidirect
89. #19104692C22semidirect
90. #19104691C22semidirect
91. C2×C22⋊Dic163C22semidirect
92. C2×C22⋊Dic163C22semidirect
93. C2×(C2×D163)⋊C4C22semidirect
94. C2×(C2×D163)⋊C4C22semidirect
95. C22⋊C4×D163C22semidirect
96. C22⋊C4×D163C22semidirect
97. C22⋊C4×D163C22semidirect
98. C22×D4×C163C22semidirect
99. C22×D4×C163C22semidirect
100. #127×C163C22semidirect
101. #121×C163C22semidirect
102. #121×C163C22semidirect
104. #120×C163C22semidirect
105. #120×C163C22semidirect
106. C4×D4×C163C22semidirect
116. C2×Dic326C23semidirect
117. C2×Dic326C23semidirect
135. C2×C22⋊D163C23semidirect
136. C2×C22⋊D163C23semidirect
141. C22×Dic163C23semidirect
142. C22×Dic163C23semidirect
143. C22×Dic163C23semidirect
146. C2×C4×D163C23semidirect
147. C4⋊Dic163C23semidirect
148. C4⋊Dic163C23semidirect
149. Dic163⋊C4C23semidirect
150. Dic163⋊C4C23semidirect
151. Dic163⋊C4C23semidirect
152. Dic163⋊C4C23semidirect
153. Dic163⋊C4C23semidirect
154. Dic163⋊C4C23semidirect
161. C22⋊Dic163C23semidirect
162. C22⋊Dic163C23semidirect
163. C22⋊Dic163C23semidirect
164. C22⋊Dic163C23semidirect
165. C22⋊Dic163C23semidirect
166. C22⋊Dic163C23semidirect
178. (C2×D163)⋊C4C23semidirect
179. C4×Dic163C23semidirect
180. C4×Dic163C23semidirect
181. C4×Dic163C23semidirect
184. C24×C163C23semidirect
193. C2×D4×C163C23semidirect
194. C2×D4×C163C23semidirect
195. C2×D4×C163C23semidirect
197. C22×C4×C163C23semidirect
198. C4⋊C4×C163C23semidirect
201. C22⋊C4×C163C23semidirect
202. C22⋊C4×C163C23semidirect
203. C22⋊C4×C163C23semidirect
204. C42×C163C23semidirect
333. C163#3532semidirect
344. D42D163semidirect
362. C22×D4C2×D163semidirect
363. C22×D4C2×D163semidirect
366. #127C2×D163semidirect
404. #121C2×D163semidirect
405. #121C2×D163semidirect
424. #120C2×D163semidirect
425. #120C2×D163semidirect
431. C4×D4C2×D163semidirect
450. C24C22×D163semidirect
484. C2×D4C22×D163semidirect
485. C2×D4C22×D163semidirect
486. C2×D4C22×D163semidirect
496. C22×C4C22×D163semidirect
505. C4⋊C4C22×D163semidirect
532. C22⋊C4C22×D163semidirect
533. C22⋊C4C22×D163semidirect
534. C22⋊C4C22×D163semidirect
538. C42C22×D163semidirect

Maximal subgroups

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

subgroupindex
#237824082
#237824032
#237824022
#237823462
#237823442
#237823092
#237823042
#237823022
D4×C22⋊D1632
#237822522
#237822482
#237822472
#237822302
#237822282
#237822252
#237822242
C2×#191047032
#120×D1632
D42×C1632
#3532163