Finite Group Databasebeta

← C41×#18254 #23794455

Subgroups — C41×#18254 #23794455

Order 10496.

1508 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#3537C211yesmaximal, characteristic, complemented
2C41×#3003C211yesmaximal, characteristic, complemented
3C2×C41×#447C211yesmaximal, characteristic, complemented
4C41×#2433C211yesmaximal, characteristic, complemented
5C41×#1600C214yesmaximal, complemented
6C41×#1595C214yesmaximal, complemented
7C41×#1507C211yesmaximal, characteristic, complemented
8C41×#1501C211yesmaximal, characteristic, complemented
9C41×#1471C211yesmaximal, characteristic, complemented
10C23×D4×C41C2211yescharacteristic, complemented
11C2×AGL(1,ℤ/8)×C41—21no—
12C22×D8×C41—21no—
13C41×#560—22no—
14C41×#553—21no—
15C41×#553—21no—
16D42×C41—22no—
17D42×C41—21no—
18D42×C41—21no—
19C41×#540—21no—
20C41×#538—21no—
21C41×#538C2212yescomplemented
22C41×#535—21no—
23C41×#534—21no—
24C41×#534C2212yescomplemented
25C2×#127×C41—21no—
26C41×#525C2211yescharacteristic
27C2×#121×C41C2211yescharacteristic
28C2×#121×C41C2211yescharacteristic
29C2×#120×C41—22no—
30C41×#450—21no—
31C41×#450C2212yescomplemented
32C41×#447—22no—
33C41×#447—21no—
34C41×#447C2212yescomplemented
35C41×#447C2214yescomplemented
36C41×#418—21no—
37C2×#102×C41—21no—
38C41×#407C2211yescharacteristic, complemented
39C2×C22⋊C8×C41C2211yescharacteristic, complemented
40C41×#392C2214yescomplemented
41C41×#390—21no—
42C4×C22⋊C4×C41C2211yescharacteristic, complemented
43C41×#328C2212yescomplemented
44C41×#327C2212yescomplemented
45C41×#327C2214yescomplemented
46C41×#323C2214yescomplemented
47C25×C41—21no—
48C2×#41×C41D411yescharacteristic, complemented
49C22×D4×C41—22no—
50C22×D4×C41—21no—
51C22×D4×C41—21no—
52C22×D4×C41—22no—
53C22×D4×C41—24no—
54C22×D4×C41—21no—
55C22×D4×C41—21no—
56C22×D4×C41—21no—
57C22×D4×C41—21no—
58C22×D4×C41—21no—
59C22×D4×C41—44no—
60C22×D4×C41D412yes—
61C22×D4×C41D411yescharacteristic
62C22×D4×C41D411yescharacteristic, complemented
63C22×D4×C41C2312yes—
64C23×C4×C41C2311yescharacteristic
65AGL(1,ℤ/8)×C41—44no—
66C2×SD16×C41—22no—
67C2×D8×C41—24no—
68C2×D8×C41—22no—
69C2×D8×C41—44no—
70C2×M16×C41—21no—
71C22×C8×C41—21no—
72#127×C41—22no—
73#127×C41—21no—
74#127×C41—44no—
75#126×C41—22no—
76#126×C41—22no—
77#125×C41—21no—
78#124×C41—22no—
79#123×C41—22no—
80#123×C41—21no—
81#123×C41—22no—
82#123×C41—22no—
83#123×C41—22no—
84C22⋊Q8×C41D411yescharacteristic, complemented
85C22⋊Q8×C41C2311yescharacteristic
86#121×C41—22no—
87#121×C41—21no—
88#121×C41—21no—
89#121×C41—22no—
90#121×C41—22no—
91#121×C41—22no—
92#121×C41—22no—
93#121×C41—21no—
94#121×C41—21no—
95#121×C41—21no—
96#121×C41—21no—
97#121×C41—21no—
98#121×C41—21no—
99#121×C41—22no—
100#121×C41D412yescomplemented
101#121×C41D411yescharacteristic, complemented
102#121×C41C2312yes—
103#121×C41C2311yescharacteristic
104#120×C41—22no—
105#120×C41—22no—
106#120×C41—22no—
107#120×C41—21no—
108#120×C41—22no—
109#120×C41—22no—
110#120×C41—22no—
111#120×C41—48no—
112C4×D4×C41—22no—
113C4×D4×C41—21no—
114C4×D4×C41—21no—
115C4×D4×C41—21no—
116C4×D4×C41—21no—
117C4×D4×C41—22no—
118#117×C41—21no—
119#117×C41D411yescharacteristic, complemented
120C2×C4⋊C4×C41D411yescharacteristic
121C2×C4⋊C4×C41D411yescharacteristic, complemented
122C2×C22⋊C4×C41—21no—
123C2×C22⋊C4×C41—21no—
124C2×C22⋊C4×C41—24no—
125C2×C22⋊C4×C41C2312yes—
126C2×C42×C41—21no—
127#102×C41—24no—
128#102×C41—22no—
129#102×C41—22no—
130C22⋊C8×C41—21no—
131C22⋊C8×C41—21no—
132C22⋊C8×C41C2312yes—
133C22⋊C8×C41C2312yes—
134#95×C41C2312yes—
135C24×C41—22no—
136C24×C41—22no—
137C24×C41—21no—
138C24×C41—44no—
139C24×C41—44no—
140C24×C41—41no—
141C24×C41—41no—
142C24×C41—82no—
143C24×C41C2×D411yescharacteristic
144C24×C41C2×D412yes—
145#41×C41—42no—
146C2×Q8×C41C2×D411yescharacteristic
147C2×D4×C41—24no—
148C2×D4×C41—24no—
149C2×D4×C41—24no—
150C2×D4×C41—22no—
151C2×D4×C41—21no—
152C2×D4×C41—21no—
153C2×D4×C41—22no—
154C2×D4×C41—22no—
155C2×D4×C41—22no—
156C2×D4×C41—22no—
157C2×D4×C41—22no—
158C2×D4×C41—22no—
159C2×D4×C41—21no—
160C2×D4×C41—22no—
161C2×D4×C41—22no—
162C2×D4×C41—21no—
163C2×D4×C41—21no—
164C2×D4×C41—21no—
165C2×D4×C41—22no—
166C2×D4×C41—22no—
167C2×D4×C41—42no—
168C2×D4×C41—42no—
169C2×D4×C41—42no—
170C2×D4×C41—42no—
171C2×D4×C41—42no—
172C2×D4×C41—48no—
173C2×D4×C41—44no—
174C2×D4×C41—44no—
175C2×D4×C41—44no—
176C2×D4×C41—44no—
177C2×D4×C41—48no—
178C2×D4×C41—41no—
179C2×D4×C41—41no—
180C2×D4×C41—82no—
181C2×D4×C41—84no—
182C2×D4×C41—82no—
183C2×D4×C41—84no—
184C2×D4×C41—84no—
185C2×D4×C41C2×D411yescharacteristic
186C2×D4×C41C2×D412yes—
187C22×C4×C41—22no—
188C22×C4×C41—22no—
189C22×C4×C41—22no—
190C22×C4×C41—21no—
191C22×C4×C41—21no—
192C22×C4×C41—42no—
193C22×C4×C41C2×D411yescharacteristic
194C22×C4×C41C2×D411yescharacteristic
195C22×C4×C41C2×D411yescharacteristic
196C22×C4×C41C2×D412yes—
197C22×C4×C41C2×D411yescharacteristic
198C22×C4×C41C2×D411yescharacteristic
199C22×C4×C41C2411yescharacteristic
200SD16×C41—44no—
201D8×C41—48no—
202D8×C41—44no—
203M16×C41—42no—
204C2×C8×C41—22no—
205C2×C8×C41—22no—
206C2×C8×C41—42no—
207C4⋊C4×C41—22no—
208C4⋊C4×C41—22no—
209C4⋊C4×C41—21no—
210C4⋊C4×C41—21no—
211C4⋊C4×C41—21no—
212C4⋊C4×C41—21no—
213C4⋊C4×C41—21no—
214C4⋊C4×C41C2×D412yes—
215C4⋊C4×C41C2×D411yescharacteristic
216C4⋊C4×C41C2×D411yescharacteristic
217C22⋊C4×C41—24no—
218C22⋊C4×C41—22no—
219C22⋊C4×C41—22no—
220C22⋊C4×C41—22no—
221C22⋊C4×C41—22no—
222C22⋊C4×C41—22no—
223C22⋊C4×C41—21no—
224C22⋊C4×C41—21no—
225C22⋊C4×C41—21no—
226C22⋊C4×C41—22no—
227C22⋊C4×C41—21no—
228C22⋊C4×C41—22no—
229C22⋊C4×C41—22no—
230C22⋊C4×C41—22no—
231C22⋊C4×C41—21no—
232C22⋊C4×C41—48no—
233C42×C41—22no—
234C42×C41—21no—
235C42×C41—42no—
236C23×C41—22no—
237C23×C41—22no—
238C23×C41—24no—
239C23×C41—22no—
240C23×C41—22no—
241C23×C41—21no—
242C23×C41—24no—
243C23×C41—41no—
244C23×C41—44no—
245C23×C41—44no—
246C23×C41—44no—
247C23×C41—42no—
248C23×C41—42no—
249C23×C41—42no—
250C23×C41—42no—
251C23×C41—44no—
252C23×C41—42no—
253C23×C41—81no—
254C23×C41—81no—
255C23×C41—82no—
256C23×C41—82no—
257C23×C41—82no—
258C23×C41—82no—
259C23×C41—82no—
260C23×C41—82no—
261C23×C41—816no—
262C23×C41—82no—
263C23×C41#12011yescharacteristic
264C23×C41#12011yescharacteristic
265C23×C41C22×D411yescharacteristic
266Q8×C41—41no—
267D4×C41—24no—
268D4×C41—24no—
269D4×C41—42no—
270D4×C41—41no—
271D4×C41—42no—
272D4×C41—42no—
273D4×C41—44no—
274D4×C41—44no—
275D4×C41—42no—
276D4×C41—44no—
277D4×C41—42no—
278D4×C41—44no—
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—816no—
291C2×C4×C41—22no—
292C2×C4×C41—22no—
293C2×C4×C41—22no—
294C2×C4×C41—24no—
295C2×C4×C41—21no—
296C2×C4×C41—22no—
297C2×C4×C41—22no—
298C2×C4×C41—21no—
299C2×C4×C41—21no—
300C2×C4×C41—41no—
301C2×C4×C41—41no—
302C2×C4×C41—41no—
303C2×C4×C41—42no—
304C2×C4×C41—42no—
305C2×C4×C41—42no—
306C2×C4×C41—42no—
307C2×C4×C41—81no—
308C2×C4×C41—82no—
309C2×C4×C41—82no—
310C2×C4×C41#12011yescharacteristic
311C2×C4×C41#12011yescharacteristic
312C2×C4×C41C22×D411yescharacteristic
313C2×C4×C41C22×D411yescharacteristic
314C8×C41—42no—
315C8×C41—42no—
316#18254C4111yesmaximal, characteristic, direct product factor, Sylow
317C22×C41—21no—
318C22×C41—21no—
319C22×C41—21no—
320C22×C41—21no—
321C22×C41—21no—
322C22×C41—21no—
323C22×C41—21no—
324C22×C41—44no—
325C22×C41—48no—
326C22×C41—42no—
327C22×C41—42no—
328C22×C41—41no—
329C22×C41—42no—
330C22×C41—42no—
331C22×C41—41no—
332C22×C41—41no—
333C22×C41—44no—
334C22×C41—42no—
335C22×C41—42no—
336C22×C41—84no—
337C22×C41—84no—
338C22×C41—88no—
339C22×C41—88no—
340C22×C41—82no—
341C22×C41—82no—
342C22×C41—162no—
343C22×C41—164no—
344C22×C41#45312yes—
345C22×C41C2×#12011yescharacteristic
346C22×C41#57612yes—
347C4×C41—21no—
348C4×C41—21no—
349C4×C41—21no—
350C4×C41—44no—
351C4×C41—42no—
352C4×C41—41no—
353C4×C41—42no—
354C4×C41—41no—
355C4×C41—41no—
356C4×C41B(4,𝔽2)12yes—
357#3537C2×C4111yescharacteristic, complemented
358#3003C2×C4111yescharacteristic, complemented
359C2×#447C2×C4111yescharacteristic, complemented
360#2433C2×C4111yescharacteristic, complemented
361#1600C2×C4114yescomplemented
362#1595C2×C4114yescomplemented
363#1507C2×C4111yescharacteristic, complemented
364#1501C2×C4111yescharacteristic, complemented
365#1471C2×C4111yescharacteristic, complemented
366C2×C41—22no—
367C2×C41—22no—
368C2×C41—41no—
369C2×C41—84no—
370C2×C41—82no—
371C2×C41—82no—
372C2×C41—81no—
373C2×C41#300811yescharacteristic
374C2×C41C2×#45311yescharacteristic
375C2×C41C2×B(4,𝔽2)11yescharacteristic
376C23×D4C22×C4111yescharacteristic, complemented
377C2×AGL(1,ℤ/8)—21no—
378C22×D8—21no—
379#560—22no—
380#553—21no—
381#553—21no—
382D42—22no—
383D42—21no—
384D42—21no—
385#540—21no—
386#538—21no—
387#538C22×C4112yescomplemented
388#535—21no—
389#534—21no—
390#534C22×C4112yescomplemented
391C2×#127—21no—
392#525C22×C4111yescharacteristic
393C2×#121C22×C4111yescharacteristic
394C2×#121C22×C4111yescharacteristic
395C2×#120—22no—
396#450—21no—
397#450C22×C4112yescomplemented
398#447—22no—
399#447—21no—
400#447C22×C4112yescomplemented
401#447C22×C4114yescomplemented
402#418—21no—
403C2×#102—21no—
404#407C22×C4111yescharacteristic, complemented
405C2×C22⋊C8C22×C4111yescharacteristic, complemented
406#392C22×C4114yescomplemented
407#390—21no—
408C4×C22⋊C4C22×C4111yescharacteristic, complemented
409#328C22×C4112yescomplemented
410#327C22×C4112yescomplemented
411#327C22×C4114yescomplemented
412#323C22×C4114yescomplemented
413C41#1825411yescharacteristic, direct product factor, Sylow
414C25—21no—
415C2×#41D4×C4111yescharacteristic, complemented
416C22×D4—22no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4—24no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—44no—
427C22×D4D4×C4112yes—
428C22×D4D4×C4111yescharacteristic
429C22×D4D4×C4111yescharacteristic, complemented
430C22×D4C23×C4112yes—
431C23×C4C23×C4111yescharacteristic
432AGL(1,ℤ/8)—44no—
433C2×SD16—22no—
434C2×D8—24no—
435C2×D8—22no—
436C2×D8—44no—
437C2×M16—21no—
438C22×C8—21no—
439#127—22no—
440#127—21no—
441#127—44no—
442#126—22no—
443#126—22no—
444#125—21no—
445#124—22no—
446#123—22no—
447#123—21no—
448#123—22no—
449#123—22no—
450#123—22no—
451C22⋊Q8D4×C4111yescharacteristic, complemented
452C22⋊Q8C23×C4111yescharacteristic
453#121—22no—
454#121—21no—
455#121—21no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—22no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—22no—
467#121D4×C4112yescomplemented
468#121D4×C4111yescharacteristic, complemented
469#121C23×C4112yes—
470#121C23×C4111yescharacteristic
471#120—22no—
472#120—22no—
473#120—22no—
474#120—21no—
475#120—22no—
476#120—22no—
477#120—22no—
478#120—48no—
479C4×D4—22no—
480C4×D4—21no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—22no—
485#117—21no—
486#117D4×C4111yescharacteristic, complemented
487C2×C4⋊C4D4×C4111yescharacteristic
488C2×C4⋊C4D4×C4111yescharacteristic, complemented
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—24no—
492C2×C22⋊C4C23×C4112yes—
493C2×C42—21no—
494#102—24no—
495#102—22no—
496#102—22no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C22⋊C8C23×C4112yes—
500C22⋊C8C23×C4112yes—
501#95C23×C4112yes—
502C24—22no—
503C24—22no—
504C24—21no—
505C24—44no—
506C24—44no—
507C24—41no—
508C24—41no—
509C24—82no—
510C24C2×D4×C4111yescharacteristic
511C24C2×D4×C4112yes—
512#41—42no—
513C2×Q8C2×D4×C4111yescharacteristic
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—48no—
540C2×D4—44no—
541C2×D4—44no—
542C2×D4—44no—
543C2×D4—44no—
544C2×D4—48no—
545C2×D4—41no—
546C2×D4—41no—
547C2×D4—82no—
548C2×D4—84no—
549C2×D4—82no—
550C2×D4—84no—
551C2×D4—84no—
552C2×D4C2×D4×C4111yescharacteristic
553C2×D4C2×D4×C4112yes—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—42no—
560C22×C4C2×D4×C4111yescharacteristic
561C22×C4C2×D4×C4111yescharacteristic
562C22×C4C2×D4×C4111yescharacteristic
563C22×C4C2×D4×C4112yes—
564C22×C4C2×D4×C4111yescharacteristic
565C22×C4C2×D4×C4111yescharacteristic
566C22×C4C24×C4111yescharacteristic
567SD16—44no—
568D8—48no—
569D8—44no—
570M16—42no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—42no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4C2×D4×C4112yes—
582C4⋊C4C2×D4×C4111yescharacteristic
583C4⋊C4C2×D4×C4111yescharacteristic
584C22⋊C4—24no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—48no—
600C42—22no—
601C42—21no—
602C42—42no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—22no—
607C23—22no—
608C23—21no—
609C23—24no—
610C23—41no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—42no—
620C23—81no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—82no—
628C23—816no—
629C23—82no—
630C23#120×C4111yescharacteristic
631C23#120×C4111yescharacteristic
632C23C22×D4×C4111yescharacteristic
633Q8—41no—
634D4—24no—
635D4—24no—
636D4—42no—
637D4—41no—
638D4—42no—
639D4—42no—
640D4—44no—
641D4—44no—
642D4—42no—
643D4—44no—
644D4—42no—
645D4—44no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—81no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—82no—
657D4—816no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—81no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4#120×C4111yescharacteristic
678C2×C4#120×C4111yescharacteristic
679C2×C4C22×D4×C4111yescharacteristic
680C2×C4C22×D4×C4111yescharacteristic
681C8—42no—
682C8—42no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—44no—
691C22—48no—
692C22—42no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—44no—
700C22—42no—
701C22—42no—
702C22—84no—
703C22—84no—
704C22—88no—
705C22—88no—
706C22—82no—
707C22—82no—
708C22—162no—
709C22—164no—
710C22C41×#45312yes—
711C22C2×#120×C4111yescharacteristic
712C22C41×#57612yes—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—44no—
717C4—42no—
718C4—41no—
719C4—42no—
720C4—41no—
721C4—41no—
722C4C41×B(4,𝔽2)12yes—
723C2—22no—
724C2—22no—
725C2—41no—
726C2—84no—
727C2—82no—
728C2—82no—
729C2—81no—
730C2C41×#300811yescharacteristic
731C2C2×C41×#45311yescharacteristic
732C2C2×C41×B(4,𝔽2)11yescharacteristic
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×#3003C2semidirect
3. C2×C41×#447C2semidirect
4. C41×#2433C2semidirect
5. C41×#1600C2semidirect
6. C41×#1595C2semidirect
7. C41×#1507C2semidirect
8. C41×#1501C2semidirect
9. C41×#1471C2semidirect
10. C23×D4×C41C22semidirect
21. C41×#538C22semidirect
24. C41×#534C22semidirect
31. C41×#450C22semidirect
34. C41×#447C22semidirect
35. C41×#447C22semidirect
38. C41×#407C22semidirect
39. C2×C22⋊C8×C41C22semidirect
40. C41×#392C22semidirect
42. C4×C22⋊C4×C41C22semidirect
43. C41×#328C22semidirect
44. C41×#327C22semidirect
45. C41×#327C22semidirect
46. C41×#323C22semidirect
48. C2×#41×C41D4semidirect
62. C22×D4×C41D4semidirect
84. C22⋊Q8×C41D4semidirect
100. #121×C41D4semidirect
101. #121×C41D4semidirect
119. #117×C41D4semidirect
121. C2×C4⋊C4×C41D4semidirect
316. #18254C41direct (N × H)
357. #3537C2×C41semidirect
358. #3003C2×C41semidirect
359. C2×#447C2×C41semidirect
360. #2433C2×C41semidirect
361. #1600C2×C41semidirect
362. #1595C2×C41semidirect
363. #1507C2×C41semidirect
364. #1501C2×C41semidirect
365. #1471C2×C41semidirect
376. C23×D4C22×C41semidirect
387. #538C22×C41semidirect
390. #534C22×C41semidirect
397. #450C22×C41semidirect
400. #447C22×C41semidirect
401. #447C22×C41semidirect
404. #407C22×C41semidirect
405. C2×C22⋊C8C22×C41semidirect
406. #392C22×C41semidirect
408. C4×C22⋊C4C22×C41semidirect
409. #328C22×C41semidirect
410. #327C22×C41semidirect
411. #327C22×C41semidirect
412. #323C22×C41semidirect
413. C41#18254direct (N × H)
415. C2×#41D4×C41semidirect
429. C22×D4D4×C41semidirect
451. C22⋊Q8D4×C41semidirect
467. #121D4×C41semidirect
468. #121D4×C41semidirect
486. #117D4×C41semidirect
488. 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×#30032
C2×C41×#4472
C41×#24332
C41×#16002
C41×#15952
C41×#15072
C41×#15012
C41×#14712
#1825441