Finite Group Databasebeta

← C41×#18450 #23794651

Subgroups — C41×#18450 #23794651

Order 10496.

1096 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#3537C211yesmaximal, characteristic, complemented
2C41×#3194C211yesmaximal, characteristic, complemented
3C41×#3186C211yesmaximal, characteristic, complemented
4C41×#2815C211yesmaximal, characteristic, complemented
5C41×#1612C212yesmaximal, complemented
6C41×#1607C212yesmaximal, complemented
7C41×#1600C212yesmaximal, complemented
8C41×#1595C212yesmaximal, complemented
9C41×#1516C211yesmaximal, characteristic, complemented
10C41×#1510C211yesmaximal, characteristic, complemented
11C41×#1471C211yesmaximal, characteristic, complemented
12C41×#560—22no—
13C41×#553—21no—
14C41×#553—21no—
15D42×C41—22no—
16D42×C41—21no—
17D42×C41—21no—
18C41×#540—21no—
19C41×#538—21no—
20C41×#538C2212yes—
21C41×#535—21no—
22C41×#534—21no—
23C41×#534C2212yes—
24C41×#525C2211yescharacteristic
25C2×#121×C41C2211yescharacteristic
26C2×#121×C41C2211yescharacteristic
27C2×#121×C41C2211yescharacteristic, complemented
28C41×#483C2211yescharacteristic, complemented
29C41×#482—21no—
30C41×#480—21no—
31C41×#480C2211yescharacteristic, complemented
32C41×#480C2212yescomplemented
33C41×#469—21no—
34C41×#468—21no—
35C41×#466—22no—
36C41×#450C2211yescharacteristic, complemented
37C41×#449—21no—
38C41×#447—21no—
39C41×#447C2211yescharacteristic, complemented
40C41×#447C2212yescomplemented
41C41×#407C2211yescharacteristic, complemented
42C2×C22⋊C8×C41C2211yescharacteristic, complemented
43C41×#397—21no—
44C41×#397C2212yescomplemented
45C41×#392—21no—
46C41×#392—22no—
47C41×#392C2212yescomplemented
48C41×#381C2211yescharacteristic, complemented
49C41×#328C2212yescomplemented
50C41×#327C2212yescomplemented
51C41×#327C2212yescomplemented
52C41×#327C2212yescomplemented
53C41×#323C2212yescomplemented
54C41×#323C2212yescomplemented
55C2×#41×C41D411yescharacteristic, complemented
56C22×D4×C41—22no—
57C22×D4×C41—21no—
58C22×D4×C41—21no—
59C22×D4×C41—22no—
60C22×D4×C41—21no—
61C22×D4×C41—22no—
62C22×D4×C41D412yes—
63C22×D4×C41D411yescharacteristic
64C22×D4×C41D411yescharacteristic, complemented
65C22×D4×C41C2311yescharacteristic
66C23×C4×C41C2311yescharacteristic
67C2×SD16×C41—21no—
68C2×D8×C41—22no—
69C2×D8×C41—21no—
70C2×M16×C41—21no—
71C22×C8×C41—21no—
72#127×C41—22no—
73#127×C41—21no—
74#126×C41—22no—
75#126×C41—22no—
76#125×C41—21no—
77#124×C41—22no—
78#123×C41—22no—
79#123×C41—21no—
80#123×C41—22no—
81#123×C41—22no—
82#123×C41—22no—
83C22⋊Q8×C41D411yescharacteristic, complemented
84C22⋊Q8×C41C2311yescharacteristic
85#121×C41—22no—
86#121×C41—21no—
87#121×C41—21no—
88#121×C41—22no—
89#121×C41—22no—
90#121×C41—22no—
91#121×C41—22no—
92#121×C41—21no—
93#121×C41—21no—
94#121×C41—21no—
95#121×C41—21no—
96#121×C41—21no—
97#121×C41—21no—
98#121×C41—22no—
99#121×C41—21no—
100#121×C41—21no—
101#121×C41—21no—
102#121×C41—21no—
103#121×C41D412yescomplemented
104#121×C41D411yescharacteristic, complemented
105#121×C41C2312yes—
106#121×C41C2311yescharacteristic
107#120×C41—22no—
108#120×C41—22no—
109#120×C41—22no—
110#120×C41—21no—
111#120×C41—22no—
112#120×C41—22no—
113#120×C41—22no—
114C4×D4×C41—22no—
115C4×D4×C41—21no—
116C4×D4×C41—21no—
117C4×D4×C41—21no—
118C4×D4×C41—21no—
119C4×D4×C41—22no—
120#117×C41—21no—
121#117×C41D411yescharacteristic, complemented
122C2×C4⋊C4×C41D411yescharacteristic
123C2×C4⋊C4×C41D411yescharacteristic, complemented
124C2×C4⋊C4×C41C2311yescharacteristic
125C2×C22⋊C4×C41—21no—
126C2×C22⋊C4×C41—21no—
127C2×C22⋊C4×C41—21no—
128C2×C22⋊C4×C41—22no—
129C2×C22⋊C4×C41—22no—
130C2×C22⋊C4×C41C2312yes—
131#107×C41—22no—
132#107×C41—21no—
133#106×C41—21no—
134#103×C41—21no—
135#102×C41—22no—
136#102×C41—21no—
137#102×C41—22no—
138#102×C41—21no—
139#102×C41—21no—
140C22⋊C8×C41—21no—
141C22⋊C8×C41—21no—
142C22⋊C8×C41C2311yescharacteristic
143C22⋊C8×C41C2311yescharacteristic
144C22⋊C8×C41C2312yes—
145#95×C41—21no—
146#95×C41—22no—
147#95×C41C2312yes—
148C24×C41—22no—
149C24×C41—21no—
150C24×C41—21no—
151C24×C41C2×D412yes—
152C24×C41C2×D411yescharacteristic
153#41×C41—81no—
154C2×Q8×C41C2×D411yescharacteristic
155C2×D4×C41—22no—
156C2×D4×C41—21no—
157C2×D4×C41—21no—
158C2×D4×C41—22no—
159C2×D4×C41—22no—
160C2×D4×C41—22no—
161C2×D4×C41—22no—
162C2×D4×C41—22no—
163C2×D4×C41—22no—
164C2×D4×C41—21no—
165C2×D4×C41—22no—
166C2×D4×C41—22no—
167C2×D4×C41—21no—
168C2×D4×C41—21no—
169C2×D4×C41—21no—
170C2×D4×C41—21no—
171C2×D4×C41—21no—
172C2×D4×C41—41no—
173C2×D4×C41—41no—
174C2×D4×C41—81no—
175C2×D4×C41—81no—
176C2×D4×C41—82no—
177C2×D4×C41—81no—
178C2×D4×C41—82no—
179C2×D4×C41—82no—
180C2×D4×C41—82no—
181C2×D4×C41—82no—
182C2×D4×C41—82no—
183C2×D4×C41—82no—
184C2×D4×C41—82no—
185C2×D4×C41—82no—
186C2×D4×C41—84no—
187C2×D4×C41C2×D411yescharacteristic
188C2×D4×C41C2×D412yes—
189C22×C4×C41—22no—
190C22×C4×C41—22no—
191C22×C4×C41—21no—
192C22×C4×C41—21no—
193C22×C4×C41—22no—
194C22×C4×C41—21no—
195C22×C4×C41—81no—
196C22×C4×C41C2×D412yes—
197C22×C4×C41C2×D411yescharacteristic
198C22×C4×C41C2×D411yescharacteristic
199C22×C4×C41C2×D411yescharacteristic
200C22×C4×C41C2×D411yescharacteristic
201C22×C4×C41C2×D411yescharacteristic
202C22×C4×C41C2411yescharacteristic
203SD16×C41—81no—
204D8×C41—82no—
205D8×C41—81no—
206M16×C41—81no—
207C2×C8×C41—22no—
208C2×C8×C41—21no—
209C2×C8×C41—21no—
210C2×C8×C41—81no—
211C4⋊C4×C41—22no—
212C4⋊C4×C41—22no—
213C4⋊C4×C41—21no—
214C4⋊C4×C41—21no—
215C4⋊C4×C41—21no—
216C4⋊C4×C41—21no—
217C4⋊C4×C41—21no—
218C4⋊C4×C41—21no—
219C4⋊C4×C41—21no—
220C4⋊C4×C41C2×D411yescharacteristic
221C4⋊C4×C41C2×D412yes—
222C4⋊C4×C41C2×D411yescharacteristic
223C22⋊C4×C41—22no—
224C22⋊C4×C41—22no—
225C22⋊C4×C41—22no—
226C22⋊C4×C41—22no—
227C22⋊C4×C41—22no—
228C22⋊C4×C41—21no—
229C22⋊C4×C41—21no—
230C22⋊C4×C41—21no—
231C22⋊C4×C41—22no—
232C22⋊C4×C41—21no—
233C22⋊C4×C41—22no—
234C22⋊C4×C41—22no—
235C22⋊C4×C41—22no—
236C22⋊C4×C41—21no—
237C22⋊C4×C41—41no—
238C22⋊C4×C41—41no—
239C22⋊C4×C41—82no—
240C22⋊C4×C41—82no—
241C22⋊C4×C41—81no—
242C42×C41—22no—
243C42×C41—21no—
244C23×C41—22no—
245C23×C41—22no—
246C23×C41—22no—
247C23×C41—21no—
248C23×C41—22no—
249C23×C41—22no—
250C23×C41—41no—
251C23×C41—41no—
252C23×C41—42no—
253C23×C41—42no—
254C23×C41—42no—
255C23×C41—41no—
256C23×C41—41no—
257C23×C41—42no—
258C23×C41—41no—
259C23×C41—42no—
260C23×C41—81no—
261C23×C41—81no—
262C23×C41—82no—
263C23×C41—82no—
264C23×C41—82no—
265C23×C41#12011yescharacteristic
266C23×C41#12011yescharacteristic
267C23×C41C22×D411yescharacteristic
268Q8×C41—41no—
269D4×C41—42no—
270D4×C41—41no—
271D4×C41—42no—
272D4×C41—42no—
273D4×C41—42no—
274D4×C41—41no—
275D4×C41—41no—
276D4×C41—44no—
277D4×C41—42no—
278D4×C41—42no—
279D4×C41—42no—
280D4×C41—42no—
281D4×C41—81no—
282D4×C41—82no—
283D4×C41—82no—
284D4×C41—81no—
285D4×C41—82no—
286D4×C41—82no—
287D4×C41—82no—
288D4×C41—82no—
289D4×C41—82no—
290D4×C41—82no—
291D4×C41—82no—
292D4×C41—88no—
293C2×C4×C41—21no—
294C2×C4×C41—22no—
295C2×C4×C41—22no—
296C2×C4×C41—21no—
297C2×C4×C41—21no—
298C2×C4×C41—41no—
299C2×C4×C41—41no—
300C2×C4×C41—41no—
301C2×C4×C41—41no—
302C2×C4×C41—41no—
303C2×C4×C41—41no—
304C2×C4×C41—42no—
305C2×C4×C41—42no—
306C2×C4×C41—42no—
307C2×C4×C41—42no—
308C2×C4×C41—41no—
309C2×C4×C41—42no—
310C2×C4×C41—42no—
311C2×C4×C41—81no—
312C2×C4×C41—82no—
313C2×C4×C41—82no—
314C2×C4×C41#12011yescharacteristic
315C2×C4×C41#12011yescharacteristic
316C2×C4×C41C22×D411yescharacteristic
317C2×C4×C41C22×D411yescharacteristic
318C8×C41—42no—
319C8×C41—41no—
320C8×C41—41no—
321#18450C4111yesmaximal, characteristic, direct product factor, Sylow
322C22×C41—21no—
323C22×C41—21no—
324C22×C41—21no—
325C22×C41—21no—
326C22×C41—21no—
327C22×C41—21no—
328C22×C41—21no—
329C22×C41—21no—
330C22×C41—42no—
331C22×C41—42no—
332C22×C41—41no—
333C22×C41—42no—
334C22×C41—42no—
335C22×C41—41no—
336C22×C41—41no—
337C22×C41—42no—
338C22×C41—42no—
339C22×C41—82no—
340C22×C41—82no—
341C22×C41—82no—
342C22×C41—82no—
343C22×C41—82no—
344C22×C41—81no—
345C22×C41—81no—
346C22×C41—81no—
347C22×C41—162no—
348C22×C41—164no—
349C22×C41C2×#12011yescharacteristic
350C22×C41#57612yes—
351C4×C41—21no—
352C4×C41—21no—
353C4×C41—21no—
354C4×C41—21no—
355C4×C41—42no—
356C4×C41—41no—
357C4×C41—42no—
358C4×C41—41no—
359C4×C41—41no—
360C4×C41—82no—
361C4×C41—81no—
362#3537C2×C4111yescharacteristic, complemented
363#3194C2×C4111yescharacteristic, complemented
364#3186C2×C4111yescharacteristic, complemented
365#2815C2×C4111yescharacteristic, complemented
366#1612C2×C4112yescomplemented
367#1607C2×C4112yescomplemented
368#1600C2×C4112yescomplemented
369#1595C2×C4112yescomplemented
370#1516C2×C4111yescharacteristic, complemented
371#1510C2×C4111yescharacteristic, complemented
372#1471C2×C4111yescharacteristic, complemented
373C2×C41—22no—
374C2×C41—41no—
375C2×C41—41no—
376C2×C41—82no—
377C2×C41—82no—
378C2×C41—81no—
379C2×C41—161no—
380C2×C41#300811yescharacteristic
381C2×C41#301911yescharacteristic
382C2×C41#302611yescharacteristic
383#560—22no—
384#553—21no—
385#553—21no—
386D42—22no—
387D42—21no—
388D42—21no—
389#540—21no—
390#538—21no—
391#538C22×C4112yes—
392#535—21no—
393#534—21no—
394#534C22×C4112yes—
395#525C22×C4111yescharacteristic
396C2×#121C22×C4111yescharacteristic
397C2×#121C22×C4111yescharacteristic
398C2×#121C22×C4111yescharacteristic, complemented
399#483C22×C4111yescharacteristic, complemented
400#482—21no—
401#480—21no—
402#480C22×C4111yescharacteristic, complemented
403#480C22×C4112yescomplemented
404#469—21no—
405#468—21no—
406#466—22no—
407#450C22×C4111yescharacteristic, complemented
408#449—21no—
409#447—21no—
410#447C22×C4111yescharacteristic, complemented
411#447C22×C4112yescomplemented
412#407C22×C4111yescharacteristic, complemented
413C2×C22⋊C8C22×C4111yescharacteristic, complemented
414#397—21no—
415#397C22×C4112yescomplemented
416#392—21no—
417#392—22no—
418#392C22×C4112yescomplemented
419#381C22×C4111yescharacteristic, complemented
420#328C22×C4112yescomplemented
421#327C22×C4112yescomplemented
422#327C22×C4112yescomplemented
423#327C22×C4112yescomplemented
424#323C22×C4112yescomplemented
425#323C22×C4112yescomplemented
426C41#1845011yescharacteristic, direct product factor, Sylow
427C2×#41D4×C4111yescharacteristic, complemented
428C22×D4—22no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—22no—
432C22×D4—21no—
433C22×D4—22no—
434C22×D4D4×C4112yes—
435C22×D4D4×C4111yescharacteristic
436C22×D4D4×C4111yescharacteristic, complemented
437C22×D4C23×C4111yescharacteristic
438C23×C4C23×C4111yescharacteristic
439C2×SD16—21no—
440C2×D8—22no—
441C2×D8—21no—
442C2×M16—21no—
443C22×C8—21no—
444#127—22no—
445#127—21no—
446#126—22no—
447#126—22no—
448#125—21no—
449#124—22no—
450#123—22no—
451#123—21no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8D4×C4111yescharacteristic, complemented
456C22⋊Q8C23×C4111yescharacteristic
457#121—22no—
458#121—21no—
459#121—21no—
460#121—22no—
461#121—22no—
462#121—22no—
463#121—22no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—22no—
471#121—21no—
472#121—21no—
473#121—21no—
474#121—21no—
475#121D4×C4112yescomplemented
476#121D4×C4111yescharacteristic, complemented
477#121C23×C4112yes—
478#121C23×C4111yescharacteristic
479#120—22no—
480#120—22no—
481#120—22no—
482#120—21no—
483#120—22no—
484#120—22no—
485#120—22no—
486C4×D4—22no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—22no—
492#117—21no—
493#117D4×C4111yescharacteristic, complemented
494C2×C4⋊C4D4×C4111yescharacteristic
495C2×C4⋊C4D4×C4111yescharacteristic, complemented
496C2×C4⋊C4C23×C4111yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4C23×C4112yes—
503#107—22no—
504#107—21no—
505#106—21no—
506#103—21no—
507#102—22no—
508#102—21no—
509#102—22no—
510#102—21no—
511#102—21no—
512C22⋊C8—21no—
513C22⋊C8—21no—
514C22⋊C8C23×C4111yescharacteristic
515C22⋊C8C23×C4111yescharacteristic
516C22⋊C8C23×C4112yes—
517#95—21no—
518#95—22no—
519#95C23×C4112yes—
520C24—22no—
521C24—21no—
522C24—21no—
523C24C2×D4×C4112yes—
524C24C2×D4×C4111yescharacteristic
525#41—81no—
526C2×Q8C2×D4×C4111yescharacteristic
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—41no—
545C2×D4—41no—
546C2×D4—81no—
547C2×D4—81no—
548C2×D4—82no—
549C2×D4—81no—
550C2×D4—82no—
551C2×D4—82no—
552C2×D4—82no—
553C2×D4—82no—
554C2×D4—82no—
555C2×D4—82no—
556C2×D4—82no—
557C2×D4—82no—
558C2×D4—84no—
559C2×D4C2×D4×C4111yescharacteristic
560C2×D4C2×D4×C4112yes—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—81no—
568C22×C4C2×D4×C4112yes—
569C22×C4C2×D4×C4111yescharacteristic
570C22×C4C2×D4×C4111yescharacteristic
571C22×C4C2×D4×C4111yescharacteristic
572C22×C4C2×D4×C4111yescharacteristic
573C22×C4C2×D4×C4111yescharacteristic
574C22×C4C24×C4111yescharacteristic
575SD16—81no—
576D8—82no—
577D8—81no—
578M16—81no—
579C2×C8—22no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—81no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4C2×D4×C4111yescharacteristic
593C4⋊C4C2×D4×C4112yes—
594C4⋊C4C2×D4×C4111yescharacteristic
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—21no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—21no—
609C22⋊C4—41no—
610C22⋊C4—41no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C22⋊C4—81no—
614C42—22no—
615C42—21no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—21no—
620C23—22no—
621C23—22no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—42no—
630C23—41no—
631C23—42no—
632C23—81no—
633C23—81no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23#120×C4111yescharacteristic
638C23#120×C4111yescharacteristic
639C23C22×D4×C4111yescharacteristic
640Q8—41no—
641D4—42no—
642D4—41no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—41no—
647D4—41no—
648D4—44no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—81no—
654D4—82no—
655D4—82no—
656D4—81no—
657D4—82no—
658D4—82no—
659D4—82no—
660D4—82no—
661D4—82no—
662D4—82no—
663D4—82no—
664D4—88no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—81no—
684C2×C4—82no—
685C2×C4—82no—
686C2×C4#120×C4111yescharacteristic
687C2×C4#120×C4111yescharacteristic
688C2×C4C22×D4×C4111yescharacteristic
689C2×C4C22×D4×C4111yescharacteristic
690C8—42no—
691C8—41no—
692C8—41no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—42no—
702C22—42no—
703C22—41no—
704C22—42no—
705C22—42no—
706C22—41no—
707C22—41no—
708C22—42no—
709C22—42no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—162no—
719C22—164no—
720C22C2×#120×C4111yescharacteristic
721C22C41×#57612yes—
722C4—21no—
723C4—21no—
724C4—21no—
725C4—21no—
726C4—42no—
727C4—41no—
728C4—42no—
729C4—41no—
730C4—41no—
731C4—82no—
732C4—81no—
733C2—22no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—81no—
739C2—161no—
740C2C41×#300811yescharacteristic
741C2C41×#301911yescharacteristic
742C2C41×#302611yescharacteristic
subgroupG/H
center, socleC22×C41C2×#120
commutator, Frattini, cosocleC22×C4C24×C41
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C41 ◁ C23×C4×C41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C41×#3537C2semidirect
2. C41×#3194C2semidirect
3. C41×#3186C2semidirect
4. C41×#2815C2semidirect
5. C41×#1612C2semidirect
6. C41×#1607C2semidirect
7. C41×#1600C2semidirect
8. C41×#1595C2semidirect
9. C41×#1516C2semidirect
10. C41×#1510C2semidirect
11. C41×#1471C2semidirect
27. C2×#121×C41C22semidirect
28. C41×#483C22semidirect
31. C41×#480C22semidirect
32. C41×#480C22semidirect
36. C41×#450C22semidirect
39. C41×#447C22semidirect
40. C41×#447C22semidirect
41. C41×#407C22semidirect
42. C2×C22⋊C8×C41C22semidirect
44. C41×#397C22semidirect
47. C41×#392C22semidirect
48. C41×#381C22semidirect
49. C41×#328C22semidirect
50. C41×#327C22semidirect
51. C41×#327C22semidirect
52. C41×#327C22semidirect
53. C41×#323C22semidirect
54. C41×#323C22semidirect
55. C2×#41×C41D4semidirect
64. C22×D4×C41D4semidirect
83. C22⋊Q8×C41D4semidirect
103. #121×C41D4semidirect
104. #121×C41D4semidirect
121. #117×C41D4semidirect
123. C2×C4⋊C4×C41D4semidirect
321. #18450C41direct (N × H)
362. #3537C2×C41semidirect
363. #3194C2×C41semidirect
364. #3186C2×C41semidirect
365. #2815C2×C41semidirect
366. #1612C2×C41semidirect
367. #1607C2×C41semidirect
368. #1600C2×C41semidirect
369. #1595C2×C41semidirect
370. #1516C2×C41semidirect
371. #1510C2×C41semidirect
372. #1471C2×C41semidirect
398. C2×#121C22×C41semidirect
399. #483C22×C41semidirect
402. #480C22×C41semidirect
403. #480C22×C41semidirect
407. #450C22×C41semidirect
410. #447C22×C41semidirect
411. #447C22×C41semidirect
412. #407C22×C41semidirect
413. C2×C22⋊C8C22×C41semidirect
415. #397C22×C41semidirect
418. #392C22×C41semidirect
419. #381C22×C41semidirect
420. #328C22×C41semidirect
421. #327C22×C41semidirect
422. #327C22×C41semidirect
423. #327C22×C41semidirect
424. #323C22×C41semidirect
425. #323C22×C41semidirect
426. C41#18450direct (N × H)
427. C2×#41D4×C41semidirect
436. C22×D4D4×C41semidirect
455. C22⋊Q8D4×C41semidirect
475. #121D4×C41semidirect
476. #121D4×C41semidirect
493. #117D4×C41semidirect
495. C2×C4⋊C4D4×C41semidirect

Maximal subgroups

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

subgroupindex
C41×#35372
C41×#31942
C41×#31862
C41×#28152
C41×#16122
C41×#16072
C41×#16002
C41×#15952
C41×#15162
C41×#15102
C41×#14712
#1845041