Finite Group Databasebeta

← C41×#33080 #23809281

Subgroups — C41×#33080 #23809281

Order 10496.

906 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#2860C211yesmaximal, characteristic, complemented
2C42×D4×C41C211yesmaximal, characteristic, complemented
3C41×#1926C211yesmaximal, characteristic, complemented
4C41×#1926C211yesmaximal, characteristic, complemented
5C41×#1925C211yesmaximal, characteristic, complemented
6C41×#1921C211yesmaximal, characteristic, complemented
7C41×#1920C211yesmaximal, characteristic, complemented
8C41×#1919C211yesmaximal, characteristic, complemented
9C41×#1879C211yesmaximal, characteristic
10C41×#1879C211yesmaximal, characteristic
11C41×#1879C211yesmaximal, characteristic
12C41×#1864C211yesmaximal, characteristic, complemented
13C41×#1864C211yesmaximal, characteristic, complemented
14C41×#1862C211yesmaximal, characteristic, complemented
15C41×#1839C211yesmaximal, characteristic, complemented
16C22×D8×C41C2211yescharacteristic
17C2×#126×C41—21no—
18C2×C4×D4×C41C2211yescharacteristic
19C2×C4×D4×C41C2211yescharacteristic
20C2×C4×D4×C41C2211yescharacteristic
21C22×C42×C41—21no—
22C2×#107×C41C2211yescharacteristic
23C2×#106×C41C2211yescharacteristic
24C2×#106×C41C2211yescharacteristic
25C2×#102×C41C2211yescharacteristic
26C2×#102×C41C2211yescharacteristic
27C2×#102×C41C2211yescharacteristic
28C2×#102×C41C2211yescharacteristic
29C2×#102×C41C2211yescharacteristic
30C2×#102×C41C2211yescharacteristic
31C41×#390C2211yescharacteristic
32C41×#390C2211yescharacteristic
33C41×#390C2211yescharacteristic
34C41×#389C2211yescharacteristic
35C41×#389C2211yescharacteristic
36C41×#389C2211yescharacteristic
37C41×#388—21no—
38C41×#388—21no—
39C41×#388—21no—
40C4×C4⋊C4×C41C2211yescharacteristic
41C4×C4⋊C4×C41C2211yescharacteristic
42C4×C4⋊C4×C41C2211yescharacteristic
43C4×C22⋊C4×C41—21no—
44C4×C22⋊C4×C41—21no—
45C4×C22⋊C4×C41—21no—
46C43×C41C2211yescharacteristic
47C41×#340C2211yescharacteristic
48C41×#340C2211yescharacteristic
49C41×#340C2211yescharacteristic
50C41×#340C2211yescharacteristic
51C41×#340C2211yescharacteristic
52C41×#340C2211yescharacteristic
53C41×#336C2211yescharacteristic
54C41×#336C2211yescharacteristic
55C41×#336C2211yescharacteristic
56C41×#336C2211yescharacteristic
57C41×#336C2211yescharacteristic
58C41×#336C2211yescharacteristic
59C22×D4×C41C2311yescharacteristic
60C22×D4×C41C2311yescharacteristic
61C23×C4×C41—21no—
62C23×C4×C41—21no—
63C23×C4×C41—21no—
64C2×D8×C41—22no—
65C2×D8×C41—22no—
66C2×D8×C41—22no—
67C22×C8×C41C2311yescharacteristic
68C22×C8×C41C2311yescharacteristic
69C22×C8×C41C2311yescharacteristic
70C22×C8×C41C2311yescharacteristic
71#126×C41—44no—
72C4×D4×C41—22no—
73C4×D4×C41—22no—
74C4×D4×C41—22no—
75C4×D4×C41—22no—
76C4×D4×C41—22no—
77C4×D4×C41—22no—
78C2×C4⋊C4×C41—21no—
79C2×C4⋊C4×C41—21no—
80C2×C4⋊C4×C41—21no—
81C2×C4⋊C4×C41C2311yescharacteristic
82C2×C4⋊C4×C41C2311yescharacteristic
83C2×C4⋊C4×C41C2311yescharacteristic
84C2×C4⋊C4×C41C2311yescharacteristic
85C2×C4⋊C4×C41C2311yescharacteristic
86C2×C4⋊C4×C41C2311yescharacteristic
87C2×C22⋊C4×C41—21no—
88C2×C22⋊C4×C41—21no—
89C2×C22⋊C4×C41—21no—
90C2×C22⋊C4×C41—21no—
91C2×C22⋊C4×C41—21no—
92C2×C22⋊C4×C41—21no—
93C2×C22⋊C4×C41—21no—
94C2×C22⋊C4×C41—21no—
95C2×C22⋊C4×C41—21no—
96C2×C42×C41—21no—
97C2×C42×C41—21no—
98C2×C42×C41—21no—
99C2×C42×C41—44no—
100C2×C42×C41D411yescharacteristic
101C2×C42×C41D411yescharacteristic
102C2×C42×C41D411yescharacteristic
103C2×C42×C41D411yescharacteristic
104C2×C42×C41C2311yescharacteristic
105C2×C42×C41C2311yescharacteristic
106C2×C42×C41C2311yescharacteristic
107#107×C41—22no—
108#106×C41—22no—
109#106×C41—22no—
110#102×C41—22no—
111#102×C41—22no—
112#102×C41—22no—
113#102×C41—22no—
114#102×C41—22no—
115#102×C41—22no—
116#95×C41—21no—
117#95×C41—21no—
118#95×C41—21no—
119#95×C41—21no—
120#95×C41—21no—
121#95×C41—21no—
122C24×C41—21no—
123C24×C41—21no—
124C2×D4×C41—21no—
125C2×D4×C41—21no—
126C2×D4×C41—21no—
127C2×D4×C41—21no—
128C2×D4×C41—21no—
129C2×D4×C41—21no—
130C2×D4×C41—21no—
131C2×D4×C41—21no—
132C2×D4×C41—21no—
133C2×D4×C41#4112yes—
134C2×D4×C41#4112yes—
135C2×D4×C41#4112yes—
136C22×C4×C41—24no—
137C22×C4×C41—24no—
138C22×C4×C41—24no—
139C22×C4×C41—21no—
140C22×C4×C41—21no—
141C22×C4×C41—21no—
142C22×C4×C41—21no—
143C22×C4×C41—21no—
144C22×C4×C41—21no—
145C22×C4×C41—42no—
146C22×C4×C41—42no—
147C22×C4×C41—42no—
148C22×C4×C41—42no—
149C22×C4×C41—42no—
150C22×C4×C41—42no—
151C22×C4×C41C2×D411yescharacteristic
152C22×C4×C41C2×D411yescharacteristic
153C22×C4×C41C2×D411yescharacteristic
154C22×C4×C41C2×D411yescharacteristic
155C22×C4×C41C2×D411yescharacteristic
156C22×C4×C41C2×D411yescharacteristic
157C22×C4×C41C2411yescharacteristic
158D8×C41—44no—
159C2×C8×C41—21no—
160C2×C8×C41—21no—
161C2×C8×C41—21no—
162C2×C8×C41—21no—
163C2×C8×C41—21no—
164C2×C8×C41—21no—
165C2×C8×C41—21no—
166C2×C8×C41—21no—
167C2×C8×C41—21no—
168C2×C8×C41—21no—
169C2×C8×C41—21no—
170C2×C8×C41—21no—
171C4⋊C4×C41—21no—
172C4⋊C4×C41—21no—
173C4⋊C4×C41—21no—
174C4⋊C4×C41—21no—
175C4⋊C4×C41—21no—
176C4⋊C4×C41—21no—
177C4⋊C4×C41—21no—
178C4⋊C4×C41—21no—
179C4⋊C4×C41—21no—
180C4⋊C4×C41—42no—
181C4⋊C4×C41—42no—
182C4⋊C4×C41—42no—
183C4⋊C4×C41#4112yes—
184C4⋊C4×C41#4112yes—
185C4⋊C4×C41#4112yes—
186C22⋊C4×C41—24no—
187C22⋊C4×C41—24no—
188C22⋊C4×C41—24no—
189C22⋊C4×C41—42no—
190C22⋊C4×C41—42no—
191C22⋊C4×C41—42no—
192C22⋊C4×C41—42no—
193C22⋊C4×C41—42no—
194C22⋊C4×C41—42no—
195C42×C41—22no—
196C42×C41—22no—
197C42×C41—22no—
198C42×C41—21no—
199C42×C41—21no—
200C42×C41—21no—
201C42×C41—21no—
202C42×C41—21no—
203C42×C41—21no—
204C42×C41—41no—
205C42×C41—42no—
206C42×C41—42no—
207C42×C41—42no—
208C23×C41—22no—
209C23×C41—22no—
210C23×C41—22no—
211C23×C41—41no—
212C23×C41—41no—
213C23×C41—41no—
214C23×C41—41no—
215C23×C41—41no—
216C23×C41—41no—
217C23×C41—41no—
218C23×C41—41no—
219C23×C41—41no—
220C23×C41—41no—
221C23×C41—41no—
222C23×C41C22×D411yescharacteristic
223D4×C41—22no—
224D4×C41—22no—
225D4×C41—22no—
226D4×C41—41no—
227D4×C41—41no—
228D4×C41—41no—
229D4×C41—41no—
230D4×C41#12614yescomplemented
231C2×C4×C41—21no—
232C2×C4×C41—21no—
233C2×C4×C41—21no—
234C2×C4×C41—21no—
235C2×C4×C41—21no—
236C2×C4×C41—21no—
237C2×C4×C41—21no—
238C2×C4×C41—21no—
239C2×C4×C41—21no—
240C2×C4×C41—22no—
241C2×C4×C41—22no—
242C2×C4×C41—22no—
243C2×C4×C41—21no—
244C2×C4×C41—21no—
245C2×C4×C41—21no—
246C2×C4×C41—21no—
247C2×C4×C41—21no—
248C2×C4×C41—21no—
249C2×C4×C41—48no—
250C2×C4×C41—48no—
251C2×C4×C41—48no—
252C2×C4×C41—41no—
253C2×C4×C41—41no—
254C2×C4×C41—41no—
255C2×C4×C41—41no—
256C2×C4×C41—41no—
257C2×C4×C41—41no—
258C2×C4×C41—41no—
259C2×C4×C41—41no—
260C2×C4×C41—41no—
261C2×C4×C41—41no—
262C2×C4×C41—41no—
263C2×C4×C41—41no—
264C2×C4×C41—41no—
265C2×C4×C41—41no—
266C2×C4×C41—41no—
267C2×C4×C41#13512yes—
268C2×C4×C41AGL(1,ℤ/8)12yes—
269C2×C4×C41AGL(1,ℤ/8)12yes—
270C2×C4×C41C2×#4111yescharacteristic
271C2×C4×C41C2×#4111yescharacteristic
272C2×C4×C41C2×#4111yescharacteristic
273C2×C4×C41C2×#4111yescharacteristic
274C2×C4×C41C2×#4111yescharacteristic
275C2×C4×C41C2×#4111yescharacteristic
276C8×C41—41no—
277C8×C41—41no—
278C8×C41—41no—
279C8×C41—41no—
280#33080C4111yesmaximal, characteristic, direct product factor, Sylow
281C22×C41—24no—
282C22×C41—42no—
283C22×C41—42no—
284C22×C41—42no—
285C22×C41—42no—
286C22×C41—42no—
287C22×C41—42no—
288C22×C41—81no—
289C22×C41—81no—
290C22×C41—81no—
291C22×C41—81no—
292C22×C41—81no—
293C22×C41—81no—
294C22×C41—81no—
295C22×C41#52511yescharacteristic
296C22×C41#52511yescharacteristic
297C22×C41#52511yescharacteristic
298C22×C41C2×#13511yescharacteristic
299C22×C41C2×AGL(1,ℤ/8)11yescharacteristic
300C22×C41C2×AGL(1,ℤ/8)11yescharacteristic
301C22×C41#57511yescharacteristic
302C4×C41—22no—
303C4×C41—22no—
304C4×C41—22no—
305C4×C41—41no—
306C4×C41—42no—
307C4×C41—41no—
308C4×C41—42no—
309C4×C41—42no—
310C4×C41—41no—
311C4×C41—81no—
312C4×C41—81no—
313C4×C41—81no—
314C4×C41C2×#12611yescharacteristic
315C4×C41#52911yescharacteristic
316C4×C41#52911yescharacteristic
317C4×C41#52911yescharacteristic
318#2860C2×C4111yescharacteristic, complemented
319C42×D4C2×C4111yescharacteristic, complemented
320#1926C2×C4111yescharacteristic, complemented
321#1926C2×C4111yescharacteristic, complemented
322#1925C2×C4111yescharacteristic, complemented
323#1921C2×C4111yescharacteristic, complemented
324#1920C2×C4111yescharacteristic, complemented
325#1919C2×C4111yescharacteristic, complemented
326#1879C2×C4111yescharacteristic
327#1879C2×C4111yescharacteristic
328#1879C2×C4111yescharacteristic
329#1864C2×C4111yescharacteristic, complemented
330#1864C2×C4111yescharacteristic, complemented
331#1862C2×C4111yescharacteristic, complemented
332#1839C2×C4111yescharacteristic, complemented
333C2×C41—44no—
334C2×C41—161no—
335C2×C41#285211yescharacteristic
336C2×C41#310211yescharacteristic
337C2×C41#310511yescharacteristic
338C2×C41#310611yescharacteristic
339C2×C41#310911yescharacteristic
340C2×C41#311411yescharacteristic
341C2×C41#311511yescharacteristic
342C22×D8C22×C4111yescharacteristic
343C2×#126—21no—
344C2×C4×D4C22×C4111yescharacteristic
345C2×C4×D4C22×C4111yescharacteristic
346C2×C4×D4C22×C4111yescharacteristic
347C22×C42—21no—
348C2×#107C22×C4111yescharacteristic
349C2×#106C22×C4111yescharacteristic
350C2×#106C22×C4111yescharacteristic
351C2×#102C22×C4111yescharacteristic
352C2×#102C22×C4111yescharacteristic
353C2×#102C22×C4111yescharacteristic
354C2×#102C22×C4111yescharacteristic
355C2×#102C22×C4111yescharacteristic
356C2×#102C22×C4111yescharacteristic
357#390C22×C4111yescharacteristic
358#390C22×C4111yescharacteristic
359#390C22×C4111yescharacteristic
360#389C22×C4111yescharacteristic
361#389C22×C4111yescharacteristic
362#389C22×C4111yescharacteristic
363#388—21no—
364#388—21no—
365#388—21no—
366C4×C4⋊C4C22×C4111yescharacteristic
367C4×C4⋊C4C22×C4111yescharacteristic
368C4×C4⋊C4C22×C4111yescharacteristic
369C4×C22⋊C4—21no—
370C4×C22⋊C4—21no—
371C4×C22⋊C4—21no—
372C43C22×C4111yescharacteristic
373#340C22×C4111yescharacteristic
374#340C22×C4111yescharacteristic
375#340C22×C4111yescharacteristic
376#340C22×C4111yescharacteristic
377#340C22×C4111yescharacteristic
378#340C22×C4111yescharacteristic
379#336C22×C4111yescharacteristic
380#336C22×C4111yescharacteristic
381#336C22×C4111yescharacteristic
382#336C22×C4111yescharacteristic
383#336C22×C4111yescharacteristic
384#336C22×C4111yescharacteristic
385C41#3308011yescharacteristic, direct product factor, Sylow
386C22×D4C23×C4111yescharacteristic
387C22×D4C23×C4111yescharacteristic
388C23×C4—21no—
389C23×C4—21no—
390C23×C4—21no—
391C2×D8—22no—
392C2×D8—22no—
393C2×D8—22no—
394C22×C8C23×C4111yescharacteristic
395C22×C8C23×C4111yescharacteristic
396C22×C8C23×C4111yescharacteristic
397C22×C8C23×C4111yescharacteristic
398#126—44no—
399C4×D4—22no—
400C4×D4—22no—
401C4×D4—22no—
402C4×D4—22no—
403C4×D4—22no—
404C4×D4—22no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4C23×C4111yescharacteristic
409C2×C4⋊C4C23×C4111yescharacteristic
410C2×C4⋊C4C23×C4111yescharacteristic
411C2×C4⋊C4C23×C4111yescharacteristic
412C2×C4⋊C4C23×C4111yescharacteristic
413C2×C4⋊C4C23×C4111yescharacteristic
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C42—21no—
424C2×C42—21no—
425C2×C42—21no—
426C2×C42—44no—
427C2×C42D4×C4111yescharacteristic
428C2×C42D4×C4111yescharacteristic
429C2×C42D4×C4111yescharacteristic
430C2×C42D4×C4111yescharacteristic
431C2×C42C23×C4111yescharacteristic
432C2×C42C23×C4111yescharacteristic
433C2×C42C23×C4111yescharacteristic
434#107—22no—
435#106—22no—
436#106—22no—
437#102—22no—
438#102—22no—
439#102—22no—
440#102—22no—
441#102—22no—
442#102—22no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449C24—21no—
450C24—21no—
451C2×D4—21no—
452C2×D4—21no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4#41×C4112yes—
461C2×D4#41×C4112yes—
462C2×D4#41×C4112yes—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4C2×D4×C4111yescharacteristic
479C22×C4C2×D4×C4111yescharacteristic
480C22×C4C2×D4×C4111yescharacteristic
481C22×C4C2×D4×C4111yescharacteristic
482C22×C4C2×D4×C4111yescharacteristic
483C22×C4C2×D4×C4111yescharacteristic
484C22×C4C24×C4111yescharacteristic
485D8—44no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4#41×C4112yes—
511C4⋊C4#41×C4112yes—
512C4⋊C4#41×C4112yes—
513C22⋊C4—24no—
514C22⋊C4—24no—
515C22⋊C4—24no—
516C22⋊C4—42no—
517C22⋊C4—42no—
518C22⋊C4—42no—
519C22⋊C4—42no—
520C22⋊C4—42no—
521C22⋊C4—42no—
522C42—22no—
523C42—22no—
524C42—22no—
525C42—21no—
526C42—21no—
527C42—21no—
528C42—21no—
529C42—21no—
530C42—21no—
531C42—41no—
532C42—42no—
533C42—42no—
534C42—42no—
535C23—22no—
536C23—22no—
537C23—22no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23C22×D4×C4111yescharacteristic
550D4—22no—
551D4—22no—
552D4—22no—
553D4—41no—
554D4—41no—
555D4—41no—
556D4—41no—
557D4#126×C4114yescomplemented
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—48no—
577C2×C4—48no—
578C2×C4—48no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4#135×C4112yes—
595C2×C4AGL(1,ℤ/8)×C4112yes—
596C2×C4AGL(1,ℤ/8)×C4112yes—
597C2×C4C2×#41×C4111yescharacteristic
598C2×C4C2×#41×C4111yescharacteristic
599C2×C4C2×#41×C4111yescharacteristic
600C2×C4C2×#41×C4111yescharacteristic
601C2×C4C2×#41×C4111yescharacteristic
602C2×C4C2×#41×C4111yescharacteristic
603C8—41no—
604C8—41no—
605C8—41no—
606C8—41no—
607C22—24no—
608C22—42no—
609C22—42no—
610C22—42no—
611C22—42no—
612C22—42no—
613C22—42no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22C41×#52511yescharacteristic
622C22C41×#52511yescharacteristic
623C22C41×#52511yescharacteristic
624C22C2×#135×C4111yescharacteristic
625C22C2×AGL(1,ℤ/8)×C4111yescharacteristic
626C22C2×AGL(1,ℤ/8)×C4111yescharacteristic
627C22C41×#57511yescharacteristic
628C4—22no—
629C4—22no—
630C4—22no—
631C4—41no—
632C4—42no—
633C4—41no—
634C4—42no—
635C4—42no—
636C4—41no—
637C4—81no—
638C4—81no—
639C4—81no—
640C4C2×#126×C4111yescharacteristic
641C4C41×#52911yescharacteristic
642C4C41×#52911yescharacteristic
643C4C41×#52911yescharacteristic
644C2—44no—
645C2—161no—
646C2C41×#285211yescharacteristic
647C2C41×#310211yescharacteristic
648C2C41×#310511yescharacteristic
649C2C41×#310611yescharacteristic
650C2C41×#310911yescharacteristic
651C2C41×#311411yescharacteristic
652C2C41×#311511yescharacteristic
subgroupG/H
center, socleC23×C41C22×D4
commutator, Frattini, cosocleC22×C4C24×C41
prime radicalC22×D8×C41C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C41 ◁ C43×C41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C41×#2860C2semidirect
2. C42×D4×C41C2semidirect
3. C41×#1926C2semidirect
4. C41×#1926C2semidirect
5. C41×#1925C2semidirect
6. C41×#1921C2semidirect
7. C41×#1920C2semidirect
8. C41×#1919C2semidirect
12. C41×#1864C2semidirect
13. C41×#1864C2semidirect
14. C41×#1862C2semidirect
15. C41×#1839C2semidirect
230. D4×C41#126semidirect
280. #33080C41direct (N × H)
318. #2860C2×C41semidirect
319. C42×D4C2×C41semidirect
320. #1926C2×C41semidirect
321. #1926C2×C41semidirect
322. #1925C2×C41semidirect
323. #1921C2×C41semidirect
324. #1920C2×C41semidirect
325. #1919C2×C41semidirect
329. #1864C2×C41semidirect
330. #1864C2×C41semidirect
331. #1862C2×C41semidirect
332. #1839C2×C41semidirect
385. C41#33080direct (N × H)
557. D4#126×C41semidirect

Maximal subgroups

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

subgroupindex
C41×#28602
C42×D4×C412
C41×#19262
C41×#19252
C41×#19212
C41×#19202
C41×#19192
C41×#18792
C41×#18642
C41×#18622
C41×#18392
#3308041