Finite Group Databasebeta

← C41×#25362 #23801563

Subgroups — C41×#25362 #23801563

Order 10496.

748 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#3142C211yesmaximal, characteristic, complemented
2C2×C41×#478C211yesmaximal, characteristic, complemented
3C41×#3036C211yesmaximal, characteristic
4C41×#2935C211yesmaximal, characteristic, complemented
5C41×#2079C211yesmaximal, characteristic, complemented
6C41×#2078C211yesmaximal, characteristic, complemented
7C41×#2051C211yesmaximal, characteristic, complemented
8C41×#2051C211yesmaximal, characteristic, complemented
9C41×#1998C211yesmaximal, characteristic, complemented
10C41×#1950C211yesmaximal, characteristic, complemented
11C41×#1907C211yesmaximal, characteristic, complemented
12C41×#1907C211yesmaximal, characteristic, complemented
13C41×#1816C211yesmaximal, characteristic, complemented
14C41×#1815C211yesmaximal, characteristic, complemented
15C4×#100×C41C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C41C2211yescharacteristic
17C2×AGL(1,ℤ/8)×C41C2211yescharacteristic
18C2×#131×C41C2211yescharacteristic
19C2×#131×C41C2211yescharacteristic
20C41×#532C2211yescharacteristic
21C2×#125×C41C2211yescharacteristic
22C2×C4×D4×C41C2211yescharacteristic
23C41×#491—21no—
24C41×#490—21no—
25C41×#488—21no—
26C41×#488—21no—
27C41×#478—21no—
28C41×#478—21no—
29C41×#478—21no—
30C41×#478—21no—
31C41×#463—21no—
32C41×#463—21no—
33C41×#461—21no—
34C41×#459—21no—
35C41×#436—21no—
36C41×#435—21no—
37C41×#435—21no—
38C8×D4×C41—21no—
39C2×#108×C41C2211yescharacteristic
40C2×#108×C41C2211yescharacteristic
41C2×#107×C41C2211yescharacteristic
42C2×#106×C41C2211yescharacteristic
43C41×#423C2211yescharacteristic
44C2×C4⋊C8×C41C2211yescharacteristic
45C41×#417C2211yescharacteristic
46C41×#417C2211yescharacteristic
47C41×#417C2211yescharacteristic
48C41×#417C2211yescharacteristic
49C41×#417C2211yescharacteristic
50C41×#417C2211yescharacteristic
51C2×#102×C41C2211yescharacteristic
52C2×#102×C41C2211yescharacteristic
53C2×#100×C41C2211yescharacteristic
54C2×#100×C41C2211yescharacteristic
55C41×#408C2211yescharacteristic
56C41×#408C2211yescharacteristic
57C4×M16×C41C2211yescharacteristic
58C4×M16×C41C2211yescharacteristic
59C41×#343C2211yescharacteristic
60C41×#343C2211yescharacteristic
61C41×#343C2211yescharacteristic
62C41×#343C2211yescharacteristic
63C41×#343C2211yescharacteristic
64C41×#343C2211yescharacteristic
65C41×#341C2211yescharacteristic
66C41×#341C2211yescharacteristic
67C2×#41×C41C2311yescharacteristic
68C2×#41×C41C2311yescharacteristic
69C22×D4×C41C2311yescharacteristic
70C23×C4×C41—21no—
71AGL(1,ℤ/8)×C41—22no—
72AGL(1,ℤ/8)×C41—22no—
73AGL(1,ℤ/8)×C41—41no—
74AGL(1,ℤ/8)×C41—41no—
75C2×SD16×C41—21no—
76C2×SD16×C41—21no—
77C2×D8×C41—21no—
78C2×D8×C41—21no—
79#131×C41—22no—
80#131×C41—22no—
81#131×C41—41no—
82#131×C41—41no—
83C2×M16×C41—21no—
84C2×M16×C41—21no—
85C2×M16×C41C2311yescharacteristic
86C2×M16×C41C2311yescharacteristic
87C2×M16×C41C2311yescharacteristic
88C2×M16×C41C2311yescharacteristic
89C2×M16×C41C2311yescharacteristic
90C2×M16×C41C2311yescharacteristic
91C22×C8×C41—21no—
92C22×C8×C41—21no—
93C22×C8×C41C2311yescharacteristic
94C22×C8×C41C2311yescharacteristic
95C4⋊Q8×C41D411yescharacteristic
96#127×C41D411yescharacteristic
97#125×C41—21no—
98#125×C41—21no—
99#125×C41—21no—
100#125×C41—21no—
101#124×C41D411yescharacteristic
102#124×C41D411yescharacteristic
103#121×C41—21no—
104#121×C41—21no—
105C4×D4×C41—21no—
106C4×D4×C41—21no—
107C4×D4×C41—21no—
108C4×D4×C41—21no—
109C4×D4×C41—21no—
110C4×D4×C41—21no—
111C2×C4⋊C4×C41—21no—
112C2×C4⋊C4×C41—21no—
113C2×C4⋊C4×C41C2311yescharacteristic
114C2×C4⋊C4×C41C2311yescharacteristic
115C2×C4⋊C4×C41C2311yescharacteristic
116C2×C22⋊C4×C41—21no—
117C2×C42×C41C2311yescharacteristic
118#108×C41—41no—
119#108×C41—41no—
120#107×C41—21no—
121#107×C41—21no—
122#106×C41—21no—
123#106×C41—21no—
124C4⋊C8×C41—21no—
125C4⋊C8×C41—21no—
126C4⋊C8×C41D411yescharacteristic
127C4⋊C8×C41D411yescharacteristic
128C4⋊C8×C41D411yescharacteristic
129C4⋊C8×C41D411yescharacteristic
130#103×C41—21no—
131#103×C41—21no—
132#103×C41—21no—
133#103×C41—21no—
134#103×C41—21no—
135#103×C41—21no—
136#102×C41—21no—
137#102×C41—21no—
138#102×C41—21no—
139#102×C41—21no—
140#102×C41—21no—
141#102×C41—21no—
142#102×C41—21no—
143#102×C41—21no—
144#102×C41—21no—
145#102×C41—21no—
146#100×C41—22no—
147#100×C41—22no—
148C22⋊C8×C41—21no—
149C22⋊C8×C41—21no—
150C22⋊C8×C41—21no—
151C22⋊C8×C41—21no—
152#97×C41—21no—
153#97×C41—21no—
154C4×C8×C41—21no—
155C4×C8×C41—21no—
156C24×C41—21no—
157#41×C41—21no—
158#41×C41—21no—
159#41×C41—21no—
160#41×C41—21no—
161#41×C41—21no—
162#41×C41—21no—
163#41×C41—21no—
164#41×C41—21no—
165C2×Q8×C41C2×D411yescharacteristic
166C2×Q8×C41C2×D411yescharacteristic
167C2×D4×C41—21no—
168C2×D4×C41—21no—
169C2×D4×C41—21no—
170C2×D4×C41—21no—
171C2×D4×C41—21no—
172C2×D4×C41—21no—
173C2×D4×C41—21no—
174C2×D4×C41—21no—
175C2×D4×C41—21no—
176C2×D4×C41C2×D411yescharacteristic
177C2×D4×C41C2×D411yescharacteristic
178C2×D4×C41#4112yes—
179C22×C4×C41—21no—
180C22×C4×C41—21no—
181C22×C4×C41—21no—
182C22×C4×C41—21no—
183C22×C4×C41—21no—
184C22×C4×C41—41no—
185C22×C4×C41—41no—
186C22×C4×C41—82no—
187C22×C4×C41#4111yescharacteristic
188C22×C4×C41#4111yescharacteristic
189C22×C4×C41C2411yescharacteristic
190SD16×C41—42no—
191SD16×C41—42no—
192D8×C41—42no—
193D8×C41—42no—
194M16×C41—21no—
195M16×C41—21no—
196M16×C41—21no—
197M16×C41—21no—
198M16×C41—21no—
199M16×C41—21no—
200M16×C41—21no—
201M16×C41—21no—
202M16×C41—21no—
203M16×C41—21no—
204M16×C41—21no—
205M16×C41—42no—
206M16×C41—42no—
207M16×C41#4112yes—
208C2×C8×C41—21no—
209C2×C8×C41—21no—
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×C41—42no—
219C2×C8×C41—42no—
220C2×C8×C41C2×D411yescharacteristic
221C2×C8×C41C2×D411yescharacteristic
222C2×C8×C41C2×D411yescharacteristic
223C2×C8×C41C2×D411yescharacteristic
224C4⋊C4×C41—21no—
225C4⋊C4×C41—21no—
226C4⋊C4×C41—21no—
227C4⋊C4×C41—21no—
228C4⋊C4×C41—21no—
229C4⋊C4×C41—21no—
230C4⋊C4×C41—21no—
231C4⋊C4×C41—21no—
232C4⋊C4×C41—41no—
233C4⋊C4×C41—41no—
234C4⋊C4×C41—41no—
235C4⋊C4×C41—41no—
236C22⋊C4×C41—21no—
237C22⋊C4×C41—21no—
238C22⋊C4×C41—21no—
239C22⋊C4×C41—21no—
240C22⋊C4×C41—41no—
241C22⋊C4×C41—41no—
242C42×C41C2×D411yescharacteristic
243C42×C41C2×D411yescharacteristic
244C42×C41C2×D411yescharacteristic
245C42×C41C2×D411yescharacteristic
246C23×C41—21no—
247C23×C41—21no—
248C23×C41—22no—
249C23×C41—41no—
250C23×C41—41no—
251C23×C41—81no—
252C23×C41—81no—
253C23×C41C2×#4111yescharacteristic
254Q8×C41—21no—
255Q8×C41—21no—
256Q8×C41—21no—
257Q8×C41—21no—
258D4×C41—22no—
259D4×C41—21no—
260D4×C41—21no—
261D4×C41—21no—
262D4×C41—21no—
263D4×C41—22no—
264D4×C41—42no—
265D4×C41—41no—
266D4×C41—41no—
267D4×C41—41no—
268D4×C41—41no—
269D4×C41—41no—
270D4×C41—41no—
271D4×C41—81no—
272C2×C4×C41—21no—
273C2×C4×C41—21no—
274C2×C4×C41—41no—
275C2×C4×C41—41no—
276C2×C4×C41—41no—
277C2×C4×C41—41no—
278C2×C4×C41—41no—
279C2×C4×C41—41no—
280C2×C4×C41—41no—
281C2×C4×C41—41no—
282C2×C4×C41—41no—
283C2×C4×C41—82no—
284C2×C4×C41—82no—
285C2×C4×C41—81no—
286C2×C4×C41—81no—
287C2×C4×C41—81no—
288C2×C4×C41#12111yescharacteristic
289C2×C4×C41#12111yescharacteristic
290C2×C4×C41#12111yescharacteristic
291C2×C4×C41#12111yescharacteristic
292C2×C4×C41C22×D411yescharacteristic
293C2×C4×C41C22×D411yescharacteristic
294C2×C4×C41C2×#4111yescharacteristic
295C2×C4×C41C2×#4111yescharacteristic
296C2×C4×C41H(5,𝔽2)11yescharacteristic
297C2×C4×C412−1+411yescharacteristic
298C8×C41—21no—
299C8×C41—21no—
300C8×C41—21no—
301C8×C41—21no—
302C8×C41—22no—
303C8×C41—41no—
304C8×C41—41no—
305C8×C41—41no—
306C8×C41—41no—
307C8×C41—41no—
308#25362C4111yesmaximal, characteristic, direct product factor, Sylow
309C22×C41—21no—
310C22×C41—21no—
311C22×C41—41no—
312C22×C41—41no—
313C22×C41—42no—
314C22×C41—41no—
315C22×C41—41no—
316C22×C41—41no—
317C22×C41—41no—
318C22×C41—82no—
319C22×C41—82no—
320C22×C41—81no—
321C22×C41—81no—
322C22×C41C2×#12111yescharacteristic
323C22×C41#52911yescharacteristic
324C22×C41#54211yescharacteristic
325C4×C41—21no—
326C4×C41—21no—
327C4×C41—21no—
328C4×C41—21no—
329C4×C41—41no—
330C4×C41—41no—
331C4×C41—81no—
332C4×C41—81no—
333C4×C41—81no—
334C4×C41#54611yescharacteristic
335C4×C41#54611yescharacteristic
336C4×C41#54711yescharacteristic
337C4×C41#54811yescharacteristic
338#3142C2×C4111yescharacteristic, complemented
339C2×#478C2×C4111yescharacteristic, complemented
340#3036C2×C4111yescharacteristic
341#2935C2×C4111yescharacteristic, complemented
342#2079C2×C4111yescharacteristic, complemented
343#2078C2×C4111yescharacteristic, complemented
344#2051C2×C4111yescharacteristic, complemented
345#2051C2×C4111yescharacteristic, complemented
346#1998C2×C4111yescharacteristic, complemented
347#1950C2×C4111yescharacteristic, complemented
348#1907C2×C4111yescharacteristic, complemented
349#1907C2×C4111yescharacteristic, complemented
350#1816C2×C4111yescharacteristic, complemented
351#1815C2×C4111yescharacteristic, complemented
352C4×#100C2×C4111yescharacteristic, complemented
353C2×C41—21no—
354C2×C41—21no—
355C2×C41—81no—
356C2×C41—81no—
357C2×C41—82no—
358C2×C41#242711yescharacteristic
359C2×C41#306711yescharacteristic
360C2×C41#306811yescharacteristic
361C2×AGL(1,ℤ/8)C22×C4111yescharacteristic
362C2×AGL(1,ℤ/8)C22×C4111yescharacteristic
363C2×#131C22×C4111yescharacteristic
364C2×#131C22×C4111yescharacteristic
365#532C22×C4111yescharacteristic
366C2×#125C22×C4111yescharacteristic
367C2×C4×D4C22×C4111yescharacteristic
368#491—21no—
369#490—21no—
370#488—21no—
371#488—21no—
372#478—21no—
373#478—21no—
374#478—21no—
375#478—21no—
376#463—21no—
377#463—21no—
378#461—21no—
379#459—21no—
380#436—21no—
381#435—21no—
382#435—21no—
383C8×D4—21no—
384C2×#108C22×C4111yescharacteristic
385C2×#108C22×C4111yescharacteristic
386C2×#107C22×C4111yescharacteristic
387C2×#106C22×C4111yescharacteristic
388#423C22×C4111yescharacteristic
389C2×C4⋊C8C22×C4111yescharacteristic
390#417C22×C4111yescharacteristic
391#417C22×C4111yescharacteristic
392#417C22×C4111yescharacteristic
393#417C22×C4111yescharacteristic
394#417C22×C4111yescharacteristic
395#417C22×C4111yescharacteristic
396C2×#102C22×C4111yescharacteristic
397C2×#102C22×C4111yescharacteristic
398C2×#100C22×C4111yescharacteristic
399C2×#100C22×C4111yescharacteristic
400#408C22×C4111yescharacteristic
401#408C22×C4111yescharacteristic
402C4×M16C22×C4111yescharacteristic
403C4×M16C22×C4111yescharacteristic
404#343C22×C4111yescharacteristic
405#343C22×C4111yescharacteristic
406#343C22×C4111yescharacteristic
407#343C22×C4111yescharacteristic
408#343C22×C4111yescharacteristic
409#343C22×C4111yescharacteristic
410#341C22×C4111yescharacteristic
411#341C22×C4111yescharacteristic
412C41#2536211yescharacteristic, direct product factor, Sylow
413C2×#41C23×C4111yescharacteristic
414C2×#41C23×C4111yescharacteristic
415C22×D4C23×C4111yescharacteristic
416C23×C4—21no—
417AGL(1,ℤ/8)—22no—
418AGL(1,ℤ/8)—22no—
419AGL(1,ℤ/8)—41no—
420AGL(1,ℤ/8)—41no—
421C2×SD16—21no—
422C2×SD16—21no—
423C2×D8—21no—
424C2×D8—21no—
425#131—22no—
426#131—22no—
427#131—41no—
428#131—41no—
429C2×M16—21no—
430C2×M16—21no—
431C2×M16C23×C4111yescharacteristic
432C2×M16C23×C4111yescharacteristic
433C2×M16C23×C4111yescharacteristic
434C2×M16C23×C4111yescharacteristic
435C2×M16C23×C4111yescharacteristic
436C2×M16C23×C4111yescharacteristic
437C22×C8—21no—
438C22×C8—21no—
439C22×C8C23×C4111yescharacteristic
440C22×C8C23×C4111yescharacteristic
441C4⋊Q8D4×C4111yescharacteristic
442#127D4×C4111yescharacteristic
443#125—21no—
444#125—21no—
445#125—21no—
446#125—21no—
447#124D4×C4111yescharacteristic
448#124D4×C4111yescharacteristic
449#121—21no—
450#121—21no—
451C4×D4—21no—
452C4×D4—21no—
453C4×D4—21no—
454C4×D4—21no—
455C4×D4—21no—
456C4×D4—21no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4C23×C4111yescharacteristic
460C2×C4⋊C4C23×C4111yescharacteristic
461C2×C4⋊C4C23×C4111yescharacteristic
462C2×C22⋊C4—21no—
463C2×C42C23×C4111yescharacteristic
464#108—41no—
465#108—41no—
466#107—21no—
467#107—21no—
468#106—21no—
469#106—21no—
470C4⋊C8—21no—
471C4⋊C8—21no—
472C4⋊C8D4×C4111yescharacteristic
473C4⋊C8D4×C4111yescharacteristic
474C4⋊C8D4×C4111yescharacteristic
475C4⋊C8D4×C4111yescharacteristic
476#103—21no—
477#103—21no—
478#103—21no—
479#103—21no—
480#103—21no—
481#103—21no—
482#102—21no—
483#102—21no—
484#102—21no—
485#102—21no—
486#102—21no—
487#102—21no—
488#102—21no—
489#102—21no—
490#102—21no—
491#102—21no—
492#100—22no—
493#100—22no—
494C22⋊C8—21no—
495C22⋊C8—21no—
496C22⋊C8—21no—
497C22⋊C8—21no—
498#97—21no—
499#97—21no—
500C4×C8—21no—
501C4×C8—21no—
502C24—21no—
503#41—21no—
504#41—21no—
505#41—21no—
506#41—21no—
507#41—21no—
508#41—21no—
509#41—21no—
510#41—21no—
511C2×Q8C2×D4×C4111yescharacteristic
512C2×Q8C2×D4×C4111yescharacteristic
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4C2×D4×C4111yescharacteristic
523C2×D4C2×D4×C4111yescharacteristic
524C2×D4#41×C4112yes—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—41no—
531C22×C4—41no—
532C22×C4—82no—
533C22×C4#41×C4111yescharacteristic
534C22×C4#41×C4111yescharacteristic
535C22×C4C24×C4111yescharacteristic
536SD16—42no—
537SD16—42no—
538D8—42no—
539D8—42no—
540M16—21no—
541M16—21no—
542M16—21no—
543M16—21no—
544M16—21no—
545M16—21no—
546M16—21no—
547M16—21no—
548M16—21no—
549M16—21no—
550M16—21no—
551M16—42no—
552M16—42no—
553M16#41×C4112yes—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—42no—
565C2×C8—42no—
566C2×C8C2×D4×C4111yescharacteristic
567C2×C8C2×D4×C4111yescharacteristic
568C2×C8C2×D4×C4111yescharacteristic
569C2×C8C2×D4×C4111yescharacteristic
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—41no—
579C4⋊C4—41no—
580C4⋊C4—41no—
581C4⋊C4—41no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—21no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C42C2×D4×C4111yescharacteristic
589C42C2×D4×C4111yescharacteristic
590C42C2×D4×C4111yescharacteristic
591C42C2×D4×C4111yescharacteristic
592C23—21no—
593C23—21no—
594C23—22no—
595C23—41no—
596C23—41no—
597C23—81no—
598C23—81no—
599C23C2×#41×C4111yescharacteristic
600Q8—21no—
601Q8—21no—
602Q8—21no—
603Q8—21no—
604D4—22no—
605D4—21no—
606D4—21no—
607D4—21no—
608D4—21no—
609D4—22no—
610D4—42no—
611D4—41no—
612D4—41no—
613D4—41no—
614D4—41no—
615D4—41no—
616D4—41no—
617D4—81no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—82no—
630C2×C4—82no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—81no—
634C2×C4#121×C4111yescharacteristic
635C2×C4#121×C4111yescharacteristic
636C2×C4#121×C4111yescharacteristic
637C2×C4#121×C4111yescharacteristic
638C2×C4C22×D4×C4111yescharacteristic
639C2×C4C22×D4×C4111yescharacteristic
640C2×C4C2×#41×C4111yescharacteristic
641C2×C4C2×#41×C4111yescharacteristic
642C2×C4H(5,𝔽2)×C4111yescharacteristic
643C2×C42−1+4×C4111yescharacteristic
644C8—21no—
645C8—21no—
646C8—21no—
647C8—21no—
648C8—22no—
649C8—41no—
650C8—41no—
651C8—41no—
652C8—41no—
653C8—41no—
654C22—21no—
655C22—21no—
656C22—41no—
657C22—41no—
658C22—41no—
659C22—41no—
660C22—41no—
661C22—41no—
662C22—42no—
663C22—82no—
664C22—82no—
665C22—81no—
666C22—81no—
667C22C2×#121×C4111yescharacteristic
668C22C41×#52911yescharacteristic
669C22C41×#54211yescharacteristic
670C4—21no—
671C4—21no—
672C4—21no—
673C4—21no—
674C4—41no—
675C4—41no—
676C4—81no—
677C4—81no—
678C4—81no—
679C4C41×#54611yescharacteristic
680C4C41×#54611yescharacteristic
681C4C41×#54711yescharacteristic
682C4C41×#54811yescharacteristic
683C2—21no—
684C2—21no—
685C2—81no—
686C2—81no—
687C2—82no—
688C2C41×#242711yescharacteristic
689C2C41×#306711yescharacteristic
690C2C41×#306811yescharacteristic
subgroupG/H
center, socleC22×C41C2×#121
commutator, Frattini, cosocleC22×C4C24×C41
prime radicalC41×#3036C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C41 ◁ C2×C42×C41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C41×#3142C2semidirect
2. C2×C41×#478C2semidirect
4. C41×#2935C2semidirect
5. C41×#2079C2semidirect
6. C41×#2078C2semidirect
7. C41×#2051C2semidirect
8. C41×#2051C2semidirect
9. C41×#1998C2semidirect
10. C41×#1950C2semidirect
11. C41×#1907C2semidirect
12. C41×#1907C2semidirect
13. C41×#1816C2semidirect
14. C41×#1815C2semidirect
15. C4×#100×C41C2semidirect
308. #25362C41direct (N × H)
338. #3142C2×C41semidirect
339. C2×#478C2×C41semidirect
341. #2935C2×C41semidirect
342. #2079C2×C41semidirect
343. #2078C2×C41semidirect
344. #2051C2×C41semidirect
345. #2051C2×C41semidirect
346. #1998C2×C41semidirect
347. #1950C2×C41semidirect
348. #1907C2×C41semidirect
349. #1907C2×C41semidirect
350. #1816C2×C41semidirect
351. #1815C2×C41semidirect
352. C4×#100C2×C41semidirect
412. C41#25362direct (N × H)

Maximal subgroups

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

subgroupindex
C41×#31422
C2×C41×#4782
C41×#30362
C41×#29352
C41×#20792
C41×#20782
C41×#20512
C41×#19982
C41×#19502
C41×#19072
C41×#18162
C41×#18152
C4×#100×C412
#2536241