Finite Group Databasebeta

← C41×#26650 #23802851

Subgroups — C41×#26650 #23802851

Order 10496.

782 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#3096C211yesmaximal, characteristic
2C41×#3043C211yesmaximal, characteristic
3C41×#2950C211yesmaximal, characteristic, complemented
4C41×#2947C211yesmaximal, characteristic, complemented
5C41×#2064C211yesmaximal, characteristic, complemented
6C41×#2020C211yesmaximal, characteristic, complemented
7C41×#2015C211yesmaximal, characteristic, complemented
8C41×#2004C211yesmaximal, characteristic
9C41×#1977C211yesmaximal, characteristic, complemented
10C41×#1931C211yesmaximal, characteristic, complemented
11C41×#1929C211yesmaximal, characteristic, complemented
12C41×#1922C211yesmaximal, characteristic, complemented
13C41×#1888C211yesmaximal, characteristic, complemented
14C41×#1882C211yesmaximal, characteristic, complemented
15C41×#1857C211yesmaximal, characteristic, complemented
16C2×#137×C41C2211yescharacteristic
17C2×#137×C41C2211yescharacteristic
18C22×Q16×C41C2211yescharacteristic
19C22×SD16×C41C2211yescharacteristic
20C41×#535C2211yescharacteristic
21C2×#124×C41C2211yescharacteristic
22C41×#520C2211yescharacteristic
23C41×#519C2211yescharacteristic
24C41×#519C2211yescharacteristic
25C41×#482—21no—
26C41×#482—21no—
27C41×#481—21no—
28C41×#480—21no—
29C41×#464—21no—
30C41×#464—21no—
31C41×#460—21no—
32C41×#460—21no—
33C41×#441—21no—
34C41×#441—21no—
35C41×#441—21no—
36C41×#440—21no—
37C4×Q16×C41—21no—
38C4×Q16×C41—21no—
39C4×Q16×C41—21no—
40C4×SD16×C41—21no—
41C2×#108×C41C2211yescharacteristic
42C41×#428C2211yescharacteristic
43C41×#428C2211yescharacteristic
44C41×#427C2211yescharacteristic
45C41×#424C2211yescharacteristic
46C2×#104×C41C2211yescharacteristic
47C41×#419C2211yescharacteristic
48C41×#419C2211yescharacteristic
49C41×#418C2211yescharacteristic
50C41×#418C2211yescharacteristic
51C41×#416C2211yescharacteristic
52C2×#103×C41C2211yescharacteristic
53C2×#102×C41C2211yescharacteristic
54C2×#101×C41C2211yescharacteristic
55C2×#101×C41C2211yescharacteristic
56C2×#100×C41C2211yescharacteristic
57C41×#408C2211yescharacteristic
58C41×#405C2211yescharacteristic
59C41×#405C2211yescharacteristic
60C41×#391C2211yescharacteristic
61C41×#343C2211yescharacteristic
62C41×#341C2211yescharacteristic
63C41×#339C2211yescharacteristic
64C41×#339C2211yescharacteristic
65C41×#339C2211yescharacteristic
66C41×#336C2211yescharacteristic
67C2×#41×C41C2311yescharacteristic
68C22×Q8×C41C2311yescharacteristic
69C22×Q8×C41C2311yescharacteristic
70C22×D4×C41C2311yescharacteristic
71#137×C41—22no—
72#137×C41—22no—
73#137×C41—22no—
74#137×C41—41no—
75C2×Q16×C41—21no—
76C2×Q16×C41—22no—
77C2×Q16×C41—22no—
78C2×Q16×C41—21no—
79C2×Q16×C41—21no—
80C2×Q16×C41—21no—
81C2×SD16×C41—21no—
82C2×SD16×C41—22no—
83C2×SD16×C41—21no—
84C2×SD16×C41—21no—
85C2×SD16×C41—21no—
86C2×SD16×C41—41no—
87C2×M16×C41C2311yescharacteristic
88C2×M16×C41C2311yescharacteristic
89C2×M16×C41C2311yescharacteristic
90C2×M16×C41C2311yescharacteristic
91C22×C8×C41C2311yescharacteristic
92C22×C8×C41C2311yescharacteristic
93#127×C41—21no—
94#124×C41—21no—
95#124×C41—22no—
96#124×C41—41no—
97#121×C41—21no—
98#121×C41—21no—
99#120×C41—41no—
100C4×Q8×C41—21no—
101C4×Q8×C41—21no—
102C4×Q8×C41—21no—
103C4×Q8×C41—21no—
104C4×Q8×C41—21no—
105C4×Q8×C41—21no—
106C4×Q8×C41—21no—
107C4×Q8×C41—21no—
108C4×Q8×C41—21no—
109C4×D4×C41—21no—
110C4×D4×C41—41no—
111#117×C41—21no—
112#117×C41—41no—
113#117×C41—41no—
114#117×C41C2311yescharacteristic
115#117×C41C2311yescharacteristic
116#117×C41C2311yescharacteristic
117C2×C4⋊C4×C41—21no—
118C2×C4⋊C4×C41C2311yescharacteristic
119C2×C22⋊C4×C41—41no—
120C2×C42×C41C2311yescharacteristic
121#108×C41—41no—
122#107×C41—21no—
123#107×C41—21no—
124#107×C41D411yescharacteristic
125#107×C41D411yescharacteristic
126#106×C41—21no—
127#106×C41—21no—
128#106×C41D411yescharacteristic
129#106×C41D411yescharacteristic
130C4⋊C8×C41—21no—
131C4⋊C8×C41—21no—
132#104×C41—41no—
133#103×C41—21no—
134#103×C41—21no—
135#103×C41—21no—
136#103×C41—21no—
137#103×C41—21no—
138#103×C41—21no—
139#103×C41D411yescharacteristic
140#103×C41D411yescharacteristic
141#102×C41—21no—
142#102×C41—21no—
143#102×C41—21no—
144#102×C41—21no—
145#102×C41—21no—
146#102×C41—21no—
147#102×C41D411yescharacteristic
148#102×C41D411yescharacteristic
149#101×C41—22no—
150#101×C41—41no—
151#100×C41—22no—
152C22⋊C8×C41—21no—
153C22⋊C8×C41—21no—
154#97×C41—21no—
155#97×C41—21no—
156C4×C8×C41—21no—
157C4×C8×C41—21no—
158#95×C41—41no—
159C24×C41—21no—
160#41×C41—21no—
161#41×C41—21no—
162#41×C41—21no—
163#41×C41—21no—
164C2×Q8×C41—21no—
165C2×Q8×C41—21no—
166C2×Q8×C41—21no—
167C2×Q8×C41—21no—
168C2×Q8×C41—21no—
169C2×Q8×C41—21no—
170C2×Q8×C41—21no—
171C2×Q8×C41—21no—
172C2×Q8×C41—21no—
173C2×Q8×C41—21no—
174C2×Q8×C41C2×D411yescharacteristic
175C2×Q8×C41#4112yes—
176C2×Q8×C41#4112yes—
177C2×D4×C41—21no—
178C2×D4×C41—21no—
179C2×D4×C41—21no—
180C2×D4×C41—21no—
181C2×D4×C41—21no—
182C2×D4×C41—21no—
183C2×D4×C41—21no—
184C2×D4×C41—41no—
185C2×D4×C41—41no—
186C2×D4×C41C2×D411yescharacteristic
187C22×C4×C41—21no—
188C22×C4×C41—21no—
189C22×C4×C41—21no—
190C22×C4×C41—21no—
191C22×C4×C41—21no—
192C22×C4×C41—41no—
193C22×C4×C41C2411yescharacteristic
194Q16×C41—24no—
195Q16×C41—24no—
196Q16×C41—24no—
197Q16×C41—42no—
198SD16×C41—24no—
199SD16×C41—42no—
200SD16×C41—42no—
201SD16×C41—42no—
202M16×C41—21no—
203M16×C41—21no—
204M16×C41—21no—
205M16×C41—21no—
206M16×C41—21no—
207M16×C41—21no—
208M16×C41—21no—
209M16×C41#4112yes—
210C2×C8×C41—21no—
211C2×C8×C41—21no—
212C2×C8×C41—21no—
213C2×C8×C41—21no—
214C2×C8×C41—21no—
215C2×C8×C41—21no—
216C2×C8×C41—21no—
217C2×C8×C41—21no—
218C2×C8×C41C2×D411yescharacteristic
219C2×C8×C41C2×D411yescharacteristic
220C2×C8×C41C2×D411yescharacteristic
221C2×C8×C41C2×D411yescharacteristic
222C4⋊C4×C41—21no—
223C4⋊C4×C41—21no—
224C4⋊C4×C41—41no—
225C4⋊C4×C41—41no—
226C4⋊C4×C41—41no—
227C4⋊C4×C41—41no—
228C4⋊C4×C41—41no—
229C4⋊C4×C41C2×D411yescharacteristic
230C4⋊C4×C41C2×D411yescharacteristic
231C4⋊C4×C41C2×D411yescharacteristic
232C4⋊C4×C41C2×D411yescharacteristic
233C4⋊C4×C41C2×D411yescharacteristic
234C4⋊C4×C41C2×D411yescharacteristic
235C22⋊C4×C41—21no—
236C22⋊C4×C41—21no—
237C22⋊C4×C41—21no—
238C22⋊C4×C41—41no—
239C22⋊C4×C41—41no—
240C22⋊C4×C41—41no—
241C22⋊C4×C41—44no—
242C42×C41—21no—
243C42×C41—21no—
244C42×C41—21no—
245C42×C41—21no—
246C42×C41—21no—
247C42×C41—41no—
248C42×C41—41no—
249C42×C41—41no—
250C42×C41—41no—
251C42×C41—41no—
252C23×C41—21no—
253C23×C41—41no—
254C23×C41—41no—
255C23×C41—41no—
256C23×C41—81no—
257C23×C41—81no—
258C23×C41H(5,𝔽2)11yescharacteristic
259Q8×C41—22no—
260Q8×C41—22no—
261Q8×C41—22no—
262Q8×C41—21no—
263Q8×C41—22no—
264Q8×C41—21no—
265Q8×C41—41no—
266Q8×C41—41no—
267Q8×C41—41no—
268Q8×C41—41no—
269D4×C41—21no—
270D4×C41—21no—
271D4×C41—41no—
272D4×C41—41no—
273D4×C41—41no—
274D4×C41—41no—
275D4×C41—41no—
276D4×C41—41no—
277D4×C41—161no—
278D4×C41—161no—
279C2×C4×C41—22no—
280C2×C4×C41—21no—
281C2×C4×C41—21no—
282C2×C4×C41—21no—
283C2×C4×C41—21no—
284C2×C4×C41—21no—
285C2×C4×C41—21no—
286C2×C4×C41—21no—
287C2×C4×C41—22no—
288C2×C4×C41—41no—
289C2×C4×C41—41no—
290C2×C4×C41—41no—
291C2×C4×C41—41no—
292C2×C4×C41—41no—
293C2×C4×C41—41no—
294C2×C4×C41—41no—
295C2×C4×C41—41no—
296C2×C4×C41—41no—
297C2×C4×C41—41no—
298C2×C4×C41—81no—
299C2×C4×C41—161no—
300C2×C4×C41C22×D411yescharacteristic
301C2×C4×C41C22×D411yescharacteristic
302C2×C4×C41C2×#4111yescharacteristic
303C2×C4×C41C2×#4111yescharacteristic
304C2×C4×C41C2×#4111yescharacteristic
305C2×C4×C41H(5,𝔽2)11yescharacteristic
306C8×C41—21no—
307C8×C41—21no—
308C8×C41—22no—
309C8×C41—21no—
310C8×C41—21no—
311C8×C41—41no—
312C8×C41—41no—
313C8×C41—41no—
314#26650C4111yesmaximal, characteristic, direct product factor, Sylow
315C22×C41—21no—
316C22×C41—21no—
317C22×C41—41no—
318C22×C41—41no—
319C22×C41—41no—
320C22×C41—82no—
321C22×C41—81no—
322C22×C41—81no—
323C22×C41—81no—
324C22×C41—161no—
325C22×C41#53811yescharacteristic
326C22×C41D4211yescharacteristic
327C22×C41#55311yescharacteristic
328C4×C41—41no—
329C4×C41—42no—
330C4×C41—42no—
331C4×C41—41no—
332C4×C41—41no—
333C4×C41—41no—
334C4×C41—41no—
335C4×C41—41no—
336C4×C41—41no—
337C4×C41—81no—
338C4×C41—81no—
339C4×C41#52511yescharacteristic
340C4×C41#52511yescharacteristic
341C4×C41#54611yescharacteristic
342C4×C41#55011yescharacteristic
343#3096C2×C4111yescharacteristic
344#3043C2×C4111yescharacteristic
345#2950C2×C4111yescharacteristic, complemented
346#2947C2×C4111yescharacteristic, complemented
347#2064C2×C4111yescharacteristic, complemented
348#2020C2×C4111yescharacteristic, complemented
349#2015C2×C4111yescharacteristic, complemented
350#2004C2×C4111yescharacteristic
351#1977C2×C4111yescharacteristic, complemented
352#1931C2×C4111yescharacteristic, complemented
353#1929C2×C4111yescharacteristic, complemented
354#1922C2×C4111yescharacteristic, complemented
355#1888C2×C4111yescharacteristic, complemented
356#1882C2×C4111yescharacteristic, complemented
357#1857C2×C4111yescharacteristic, complemented
358C2×C41—21no—
359C2×C41—21no—
360C2×C41—81no—
361C2×C41—161no—
362C2×C41#245611yescharacteristic
363C2×C41#328911yescharacteristic
364C2×C41#329011yescharacteristic
365C2×#137C22×C4111yescharacteristic
366C2×#137C22×C4111yescharacteristic
367C22×Q16C22×C4111yescharacteristic
368C22×SD16C22×C4111yescharacteristic
369#535C22×C4111yescharacteristic
370C2×#124C22×C4111yescharacteristic
371#520C22×C4111yescharacteristic
372#519C22×C4111yescharacteristic
373#519C22×C4111yescharacteristic
374#482—21no—
375#482—21no—
376#481—21no—
377#480—21no—
378#464—21no—
379#464—21no—
380#460—21no—
381#460—21no—
382#441—21no—
383#441—21no—
384#441—21no—
385#440—21no—
386C4×Q16—21no—
387C4×Q16—21no—
388C4×Q16—21no—
389C4×SD16—21no—
390C2×#108C22×C4111yescharacteristic
391#428C22×C4111yescharacteristic
392#428C22×C4111yescharacteristic
393#427C22×C4111yescharacteristic
394#424C22×C4111yescharacteristic
395C2×#104C22×C4111yescharacteristic
396#419C22×C4111yescharacteristic
397#419C22×C4111yescharacteristic
398#418C22×C4111yescharacteristic
399#418C22×C4111yescharacteristic
400#416C22×C4111yescharacteristic
401C2×#103C22×C4111yescharacteristic
402C2×#102C22×C4111yescharacteristic
403C2×#101C22×C4111yescharacteristic
404C2×#101C22×C4111yescharacteristic
405C2×#100C22×C4111yescharacteristic
406#408C22×C4111yescharacteristic
407#405C22×C4111yescharacteristic
408#405C22×C4111yescharacteristic
409#391C22×C4111yescharacteristic
410#343C22×C4111yescharacteristic
411#341C22×C4111yescharacteristic
412#339C22×C4111yescharacteristic
413#339C22×C4111yescharacteristic
414#339C22×C4111yescharacteristic
415#336C22×C4111yescharacteristic
416C41#2665011yescharacteristic, direct product factor, Sylow
417C2×#41C23×C4111yescharacteristic
418C22×Q8C23×C4111yescharacteristic
419C22×Q8C23×C4111yescharacteristic
420C22×D4C23×C4111yescharacteristic
421#137—22no—
422#137—22no—
423#137—22no—
424#137—41no—
425C2×Q16—21no—
426C2×Q16—22no—
427C2×Q16—22no—
428C2×Q16—21no—
429C2×Q16—21no—
430C2×Q16—21no—
431C2×SD16—21no—
432C2×SD16—22no—
433C2×SD16—21no—
434C2×SD16—21no—
435C2×SD16—21no—
436C2×SD16—41no—
437C2×M16C23×C4111yescharacteristic
438C2×M16C23×C4111yescharacteristic
439C2×M16C23×C4111yescharacteristic
440C2×M16C23×C4111yescharacteristic
441C22×C8C23×C4111yescharacteristic
442C22×C8C23×C4111yescharacteristic
443#127—21no—
444#124—21no—
445#124—22no—
446#124—41no—
447#121—21no—
448#121—21no—
449#120—41no—
450C4×Q8—21no—
451C4×Q8—21no—
452C4×Q8—21no—
453C4×Q8—21no—
454C4×Q8—21no—
455C4×Q8—21no—
456C4×Q8—21no—
457C4×Q8—21no—
458C4×Q8—21no—
459C4×D4—21no—
460C4×D4—41no—
461#117—21no—
462#117—41no—
463#117—41no—
464#117C23×C4111yescharacteristic
465#117C23×C4111yescharacteristic
466#117C23×C4111yescharacteristic
467C2×C4⋊C4—21no—
468C2×C4⋊C4C23×C4111yescharacteristic
469C2×C22⋊C4—41no—
470C2×C42C23×C4111yescharacteristic
471#108—41no—
472#107—21no—
473#107—21no—
474#107D4×C4111yescharacteristic
475#107D4×C4111yescharacteristic
476#106—21no—
477#106—21no—
478#106D4×C4111yescharacteristic
479#106D4×C4111yescharacteristic
480C4⋊C8—21no—
481C4⋊C8—21no—
482#104—41no—
483#103—21no—
484#103—21no—
485#103—21no—
486#103—21no—
487#103—21no—
488#103—21no—
489#103D4×C4111yescharacteristic
490#103D4×C4111yescharacteristic
491#102—21no—
492#102—21no—
493#102—21no—
494#102—21no—
495#102—21no—
496#102—21no—
497#102D4×C4111yescharacteristic
498#102D4×C4111yescharacteristic
499#101—22no—
500#101—41no—
501#100—22no—
502C22⋊C8—21no—
503C22⋊C8—21no—
504#97—21no—
505#97—21no—
506C4×C8—21no—
507C4×C8—21no—
508#95—41no—
509C24—21no—
510#41—21no—
511#41—21no—
512#41—21no—
513#41—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8C2×D4×C4111yescharacteristic
525C2×Q8#41×C4112yes—
526C2×Q8#41×C4112yes—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—41no—
535C2×D4—41no—
536C2×D4C2×D4×C4111yescharacteristic
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—41no—
543C22×C4C24×C4111yescharacteristic
544Q16—24no—
545Q16—24no—
546Q16—24no—
547Q16—42no—
548SD16—24no—
549SD16—42no—
550SD16—42no—
551SD16—42no—
552M16—21no—
553M16—21no—
554M16—21no—
555M16—21no—
556M16—21no—
557M16—21no—
558M16—21no—
559M16#41×C4112yes—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8C2×D4×C4111yescharacteristic
569C2×C8C2×D4×C4111yescharacteristic
570C2×C8C2×D4×C4111yescharacteristic
571C2×C8C2×D4×C4111yescharacteristic
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—41no—
575C4⋊C4—41no—
576C4⋊C4—41no—
577C4⋊C4—41no—
578C4⋊C4—41no—
579C4⋊C4C2×D4×C4111yescharacteristic
580C4⋊C4C2×D4×C4111yescharacteristic
581C4⋊C4C2×D4×C4111yescharacteristic
582C4⋊C4C2×D4×C4111yescharacteristic
583C4⋊C4C2×D4×C4111yescharacteristic
584C4⋊C4C2×D4×C4111yescharacteristic
585C22⋊C4—21no—
586C22⋊C4—21no—
587C22⋊C4—21no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C22⋊C4—41no—
591C22⋊C4—44no—
592C42—21no—
593C42—21no—
594C42—21no—
595C42—21no—
596C42—21no—
597C42—41no—
598C42—41no—
599C42—41no—
600C42—41no—
601C42—41no—
602C23—21no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—81no—
607C23—81no—
608C23H(5,𝔽2)×C4111yescharacteristic
609Q8—22no—
610Q8—22no—
611Q8—22no—
612Q8—21no—
613Q8—22no—
614Q8—21no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619D4—21no—
620D4—21no—
621D4—41no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—41no—
626D4—41no—
627D4—161no—
628D4—161no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—81no—
649C2×C4—161no—
650C2×C4C22×D4×C4111yescharacteristic
651C2×C4C22×D4×C4111yescharacteristic
652C2×C4C2×#41×C4111yescharacteristic
653C2×C4C2×#41×C4111yescharacteristic
654C2×C4C2×#41×C4111yescharacteristic
655C2×C4H(5,𝔽2)×C4111yescharacteristic
656C8—21no—
657C8—21no—
658C8—22no—
659C8—21no—
660C8—21no—
661C8—41no—
662C8—41no—
663C8—41no—
664C22—21no—
665C22—21no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—82no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22—161no—
674C22C41×#53811yescharacteristic
675C22D42×C4111yescharacteristic
676C22C41×#55311yescharacteristic
677C4—41no—
678C4—42no—
679C4—42no—
680C4—41no—
681C4—41no—
682C4—41no—
683C4—41no—
684C4—41no—
685C4—41no—
686C4—81no—
687C4—81no—
688C4C41×#52511yescharacteristic
689C4C41×#52511yescharacteristic
690C4C41×#54611yescharacteristic
691C4C41×#55011yescharacteristic
692C2—21no—
693C2—21no—
694C2—81no—
695C2—161no—
696C2C41×#245611yescharacteristic
697C2C41×#328911yescharacteristic
698C2C41×#329011yescharacteristic
subgroupG/H
center, socleC22×C41D42
commutator, Frattini, cosocleC22×C4C24×C41
prime radicalC41×#535C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C41 ◁ C22×C4×C41 ◁ G

Complements

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

NH ≅ G/Ntype
3. C41×#2950C2semidirect
4. C41×#2947C2semidirect
5. C41×#2064C2semidirect
6. C41×#2020C2semidirect
7. C41×#2015C2semidirect
9. C41×#1977C2semidirect
10. C41×#1931C2semidirect
11. C41×#1929C2semidirect
12. C41×#1922C2semidirect
13. C41×#1888C2semidirect
14. C41×#1882C2semidirect
15. C41×#1857C2semidirect
314. #26650C41direct (N × H)
345. #2950C2×C41semidirect
346. #2947C2×C41semidirect
347. #2064C2×C41semidirect
348. #2020C2×C41semidirect
349. #2015C2×C41semidirect
351. #1977C2×C41semidirect
352. #1931C2×C41semidirect
353. #1929C2×C41semidirect
354. #1922C2×C41semidirect
355. #1888C2×C41semidirect
356. #1882C2×C41semidirect
357. #1857C2×C41semidirect
416. C41#26650direct (N × H)

Maximal subgroups

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

subgroupindex
C41×#30962
C41×#30432
C41×#29502
C41×#29472
C41×#20642
C41×#20202
C41×#20152
C41×#20042
C41×#19772
C41×#19312
C41×#19292
C41×#19222
C41×#18882
C41×#18822
C41×#18572
#2665041