Finite Group Databasebeta

← C41×#26811 #23803012

Subgroups — C41×#26811 #23803012

Order 10496.

818 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C41×#482C211yesmaximal, characteristic
2C2×C41×#479C211yesmaximal, characteristic, complemented
3C41×#2490C211yesmaximal, characteristic
4C41×#2362C211yesmaximal, characteristic, complemented
5C41×#2065C211yesmaximal, characteristic, complemented
6C41×#2059C211yesmaximal, characteristic, complemented
7C41×#2035C211yesmaximal, characteristic, complemented
8C41×#2000C211yesmaximal, characteristic
9C41×#1973C211yesmaximal, characteristic, complemented
10C41×#1927C211yesmaximal, characteristic, complemented
11C41×#1926C211yesmaximal, characteristic, complemented
12C41×#1924C211yesmaximal, characteristic, complemented
13C41×#1880C211yesmaximal, characteristic, complemented
14C41×#1854C211yesmaximal, characteristic, complemented
15C41×#1776C211yesmaximal, characteristic, complemented
16C22×SD16×C41C2211yescharacteristic
17C2×#125×C41C2211yescharacteristic
18C2×C22⋊Q8×C41C2211yescharacteristic
19C2×#121×C41C2211yescharacteristic
20C2×C4×Q8×C41C2211yescharacteristic
21C2×#117×C41C2211yescharacteristic
22C41×#482—24no—
23C41×#479—24no—
24C2×#107×C41C2211yescharacteristic
25C2×#107×C41C2211yescharacteristic
26C2×#106×C41C2211yescharacteristic
27C2×#106×C41C2211yescharacteristic
28C2×#106×C41C2211yescharacteristic
29C2×C4⋊C8×C41C2211yescharacteristic
30C2×#103×C41C2211yescharacteristic
31C2×#103×C41C2211yescharacteristic
32C2×#103×C41C2211yescharacteristic
33C2×#102×C41C2211yescharacteristic
34C2×#102×C41C2211yescharacteristic
35C2×#102×C41C2211yescharacteristic
36C2×C22⋊C8×C41C2211yescharacteristic
37C2×C22⋊C8×C41C2211yescharacteristic
38C2×#97×C41C2211yescharacteristic
39C41×#397—21no—
40C41×#394—21no—
41C41×#391C2211yescharacteristic
42C41×#390—21no—
43C41×#390C2211yescharacteristic
44C41×#390C2211yescharacteristic
45C41×#389C2211yescharacteristic
46C41×#388—21no—
47C41×#388—21no—
48C41×#388—21no—
49C41×#387—21no—
50C41×#380C2211yescharacteristic
51C4×C4⋊C4×C41—21no—
52C4×C4⋊C4×C41C2211yescharacteristic
53C4×C4⋊C4×C41C2211yescharacteristic
54C4×C22⋊C4×C41C2211yescharacteristic
55C41×#340C2211yescharacteristic
56C41×#340C2211yescharacteristic
57C41×#340C2211yescharacteristic
58C41×#340C2211yescharacteristic
59C41×#336C2211yescharacteristic
60C41×#336C2211yescharacteristic
61C22×Q8×C41C2311yescharacteristic
62C22×D4×C41—21no—
63C22×D4×C41C2311yescharacteristic
64C23×C4×C41C2311yescharacteristic
65C2×SD16×C41—22no—
66C2×SD16×C41—22no—
67C2×SD16×C41—41no—
68C22×C8×C41C2311yescharacteristic
69C22×C8×C41C2311yescharacteristic
70C22×C8×C41C2311yescharacteristic
71C22×C8×C41C2311yescharacteristic
72#125×C41—22no—
73#125×C41—41no—
74C22⋊Q8×C41—22no—
75C22⋊Q8×C41—22no—
76#121×C41—22no—
77#121×C41—41no—
78C4×Q8×C41—22no—
79C4×Q8×C41—41no—
80#117×C41—22no—
81#117×C41—41no—
82C2×C4⋊C4×C41—21no—
83C2×C4⋊C4×C41—21no—
84C2×C4⋊C4×C41—21no—
85C2×C4⋊C4×C41—21no—
86C2×C4⋊C4×C41—21no—
87C2×C4⋊C4×C41C2311yescharacteristic
88C2×C4⋊C4×C41C2311yescharacteristic
89C2×C4⋊C4×C41C2311yescharacteristic
90C2×C4⋊C4×C41C2311yescharacteristic
91C2×C4⋊C4×C41C2311yescharacteristic
92C2×C4⋊C4×C41C2311yescharacteristic
93C2×C22⋊C4×C41—21no—
94C2×C22⋊C4×C41—21no—
95C2×C22⋊C4×C41—21no—
96C2×C22⋊C4×C41—21no—
97C2×C22⋊C4×C41—21no—
98C2×C22⋊C4×C41—21no—
99C2×C22⋊C4×C41—21no—
100C2×C22⋊C4×C41—21no—
101C2×C22⋊C4×C41D411yescharacteristic
102C2×C22⋊C4×C41D411yescharacteristic
103C2×C42×C41—21no—
104C2×C42×C41—21no—
105C2×C42×C41—21no—
106C2×C42×C41—21no—
107C2×C42×C41C2311yescharacteristic
108C2×C42×C41C2311yescharacteristic
109#107×C41—41no—
110#107×C41D414yes—
111#106×C41—22no—
112#106×C41—22no—
113#106×C41—22no—
114C4⋊C8×C41—22no—
115#103×C41—22no—
116#103×C41—22no—
117#103×C41—22no—
118#102×C41—22no—
119#102×C41—22no—
120#102×C41—22no—
121C22⋊C8×C41—22no—
122C22⋊C8×C41—22no—
123#97×C41—22no—
124#95×C41—21no—
125#95×C41—21no—
126#95×C41—21no—
127#95×C41—21no—
128#95×C41—21no—
129#95×C41—21no—
130#95×C41D411yescharacteristic
131#95×C41D411yescharacteristic
132C24×C41—21no—
133C24×C41C2×D411yescharacteristic
134C2×Q8×C41—21no—
135C2×Q8×C41—21no—
136C2×Q8×C41—21no—
137C2×Q8×C41—21no—
138C2×Q8×C41—21no—
139C2×Q8×C41#4112yes—
140C2×D4×C41—21no—
141C2×D4×C41—21no—
142C2×D4×C41—21no—
143C2×D4×C41—21no—
144C2×D4×C41—21no—
145C2×D4×C41—21no—
146C2×D4×C41—42no—
147C2×D4×C41—42no—
148C2×D4×C41—81no—
149C22×C4×C41—21no—
150C22×C4×C41—21no—
151C22×C4×C41—21no—
152C22×C4×C41—21no—
153C22×C4×C41—21no—
154C22×C4×C41—21no—
155C22×C4×C41—21no—
156C22×C4×C41—21no—
157C22×C4×C41—21no—
158C22×C4×C41—21no—
159C22×C4×C41—21no—
160C22×C4×C41—21no—
161C22×C4×C41—21no—
162C22×C4×C41C2×D411yescharacteristic
163C22×C4×C41C2×D411yescharacteristic
164C22×C4×C41C2×D411yescharacteristic
165C22×C4×C41C2×D411yescharacteristic
166C22×C4×C41C2×D411yescharacteristic
167C22×C4×C41C2411yescharacteristic
168SD16×C41—44no—
169C2×C8×C41—21no—
170C2×C8×C41—21no—
171C2×C8×C41—21no—
172C2×C8×C41—21no—
173C2×C8×C41—21no—
174C2×C8×C41—21no—
175C2×C8×C41—21no—
176C2×C8×C41—21no—
177C2×C8×C41—21no—
178C2×C8×C41—21no—
179C2×C8×C41C2×D412yes—
180C2×C8×C41#4112yes—
181C4⋊C4×C41—24no—
182C4⋊C4×C41—21no—
183C4⋊C4×C41—21no—
184C4⋊C4×C41—21no—
185C4⋊C4×C41—21no—
186C4⋊C4×C41—21no—
187C4⋊C4×C41—21no—
188C4⋊C4×C41—21no—
189C4⋊C4×C41—21no—
190C4⋊C4×C41—21no—
191C4⋊C4×C41—42no—
192C4⋊C4×C41—42no—
193C4⋊C4×C41—42no—
194C4⋊C4×C41—42no—
195C4⋊C4×C41C2×D412yes—
196C4⋊C4×C41C2×D412yes—
197C4⋊C4×C41#4112yes—
198C22⋊C4×C41—24no—
199C22⋊C4×C41—41no—
200C22⋊C4×C41—41no—
201C22⋊C4×C41—42no—
202C22⋊C4×C41—42no—
203C22⋊C4×C41—42no—
204C22⋊C4×C41—81no—
205C22⋊C4×C41—81no—
206C22⋊C4×C41—81no—
207C22⋊C4×C41—81no—
208C42×C41—21no—
209C42×C41—21no—
210C42×C41—21no—
211C42×C41—21no—
212C42×C41—42no—
213C42×C41—42no—
214C42×C41—42no—
215C42×C41—81no—
216C23×C41—21no—
217C23×C41—21no—
218C23×C41—21no—
219C23×C41—21no—
220C23×C41—21no—
221C23×C41—21no—
222C23×C41—21no—
223C23×C41—41no—
224C23×C41—41no—
225C23×C41—41no—
226C23×C41—41no—
227C23×C41—41no—
228C23×C41—41no—
229C23×C41—41no—
230C23×C41C22×D411yescharacteristic
231Q8×C41—22no—
232Q8×C41—22no—
233Q8×C41—41no—
234Q8×C41—41no—
235D4×C41—41no—
236D4×C41—41no—
237D4×C41—41no—
238D4×C41—41no—
239D4×C41—84no—
240C2×C4×C41—22no—
241C2×C4×C41—22no—
242C2×C4×C41—21no—
243C2×C4×C41—21no—
244C2×C4×C41—21no—
245C2×C4×C41—21no—
246C2×C4×C41—22no—
247C2×C4×C41—22no—
248C2×C4×C41—21no—
249C2×C4×C41—21no—
250C2×C4×C41—21no—
251C2×C4×C41—21no—
252C2×C4×C41—21no—
253C2×C4×C41—21no—
254C2×C4×C41—21no—
255C2×C4×C41—21no—
256C2×C4×C41—21no—
257C2×C4×C41—21no—
258C2×C4×C41—21no—
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—41no—
268C2×C4×C41—41no—
269C2×C4×C41—41no—
270C2×C4×C41—41no—
271C2×C4×C41—41no—
272C2×C4×C41—41no—
273C2×C4×C41—41no—
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×C41C22×D411yescharacteristic
281C2×C4×C41C2×#4111yescharacteristic
282C2×C4×C41C2×#4111yescharacteristic
283C2×C4×C41C2×#4111yescharacteristic
284C2×C4×C41H(5,𝔽2)11yescharacteristic
285C2×C4×C412−1+411yescharacteristic
286C8×C41—22no—
287C8×C41—22no—
288C8×C41—41no—
289C8×C41—41no—
290#26811C4111yesmaximal, characteristic, direct product factor, Sylow
291C22×C41—41no—
292C22×C41—41no—
293C22×C41—41no—
294C22×C41—41no—
295C22×C41—41no—
296C22×C41—41no—
297C22×C41—41no—
298C22×C41—81no—
299C22×C41—81no—
300C22×C41—81no—
301C22×C41—81no—
302C22×C41—81no—
303C22×C41—81no—
304C22×C41—81no—
305C22×C41#52511yescharacteristic
306C22×C41D4211yescharacteristic
307C22×C41#54711yescharacteristic
308C22×C41#57511yescharacteristic
309C22×C41#57511yescharacteristic
310C22×C41#57711yescharacteristic
311C22×C41#57711yescharacteristic
312C4×C41—41no—
313C4×C41—41no—
314C4×C41—42no—
315C4×C41—41no—
316C4×C41—42no—
317C4×C41—41no—
318C4×C41—42no—
319C4×C41—42no—
320C4×C41—41no—
321C4×C41—81no—
322C4×C41—81no—
323C4×C41—81no—
324C4×C41#53211yescharacteristic
325C4×C41#54211yescharacteristic
326C4×C41#54811yescharacteristic
327C4×C41#55111yescharacteristic
328C2×#482C2×C4111yescharacteristic
329C2×#479C2×C4111yescharacteristic, complemented
330#2490C2×C4111yescharacteristic
331#2362C2×C4111yescharacteristic, complemented
332#2065C2×C4111yescharacteristic, complemented
333#2059C2×C4111yescharacteristic, complemented
334#2035C2×C4111yescharacteristic, complemented
335#2000C2×C4111yescharacteristic
336#1973C2×C4111yescharacteristic, complemented
337#1927C2×C4111yescharacteristic, complemented
338#1926C2×C4111yescharacteristic, complemented
339#1924C2×C4111yescharacteristic, complemented
340#1880C2×C4111yescharacteristic, complemented
341#1854C2×C4111yescharacteristic, complemented
342#1776C2×C4111yescharacteristic, complemented
343C2×C41—81no—
344C2×C41—161no—
345C2×C41#246111yescharacteristic
346C2×C41#311111yescharacteristic
347C2×C41#312611yescharacteristic
348C2×C41#326711yescharacteristic
349C2×C41#327111yescharacteristic
350C2×C41#335011yescharacteristic
351C2×C41#335111yescharacteristic
352C22×SD16C22×C4111yescharacteristic
353C2×#125C22×C4111yescharacteristic
354C2×C22⋊Q8C22×C4111yescharacteristic
355C2×#121C22×C4111yescharacteristic
356C2×C4×Q8C22×C4111yescharacteristic
357C2×#117C22×C4111yescharacteristic
358#482—24no—
359#479—24no—
360C2×#107C22×C4111yescharacteristic
361C2×#107C22×C4111yescharacteristic
362C2×#106C22×C4111yescharacteristic
363C2×#106C22×C4111yescharacteristic
364C2×#106C22×C4111yescharacteristic
365C2×C4⋊C8C22×C4111yescharacteristic
366C2×#103C22×C4111yescharacteristic
367C2×#103C22×C4111yescharacteristic
368C2×#103C22×C4111yescharacteristic
369C2×#102C22×C4111yescharacteristic
370C2×#102C22×C4111yescharacteristic
371C2×#102C22×C4111yescharacteristic
372C2×C22⋊C8C22×C4111yescharacteristic
373C2×C22⋊C8C22×C4111yescharacteristic
374C2×#97C22×C4111yescharacteristic
375#397—21no—
376#394—21no—
377#391C22×C4111yescharacteristic
378#390—21no—
379#390C22×C4111yescharacteristic
380#390C22×C4111yescharacteristic
381#389C22×C4111yescharacteristic
382#388—21no—
383#388—21no—
384#388—21no—
385#387—21no—
386#380C22×C4111yescharacteristic
387C4×C4⋊C4—21no—
388C4×C4⋊C4C22×C4111yescharacteristic
389C4×C4⋊C4C22×C4111yescharacteristic
390C4×C22⋊C4C22×C4111yescharacteristic
391#340C22×C4111yescharacteristic
392#340C22×C4111yescharacteristic
393#340C22×C4111yescharacteristic
394#340C22×C4111yescharacteristic
395#336C22×C4111yescharacteristic
396#336C22×C4111yescharacteristic
397C41#2681111yescharacteristic, direct product factor, Sylow
398C22×Q8C23×C4111yescharacteristic
399C22×D4—21no—
400C22×D4C23×C4111yescharacteristic
401C23×C4C23×C4111yescharacteristic
402C2×SD16—22no—
403C2×SD16—22no—
404C2×SD16—41no—
405C22×C8C23×C4111yescharacteristic
406C22×C8C23×C4111yescharacteristic
407C22×C8C23×C4111yescharacteristic
408C22×C8C23×C4111yescharacteristic
409#125—22no—
410#125—41no—
411C22⋊Q8—22no—
412C22⋊Q8—22no—
413#121—22no—
414#121—41no—
415C4×Q8—22no—
416C4×Q8—41no—
417#117—22no—
418#117—41no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4C23×C4111yescharacteristic
425C2×C4⋊C4C23×C4111yescharacteristic
426C2×C4⋊C4C23×C4111yescharacteristic
427C2×C4⋊C4C23×C4111yescharacteristic
428C2×C4⋊C4C23×C4111yescharacteristic
429C2×C4⋊C4C23×C4111yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4D4×C4111yescharacteristic
439C2×C22⋊C4D4×C4111yescharacteristic
440C2×C42—21no—
441C2×C42—21no—
442C2×C42—21no—
443C2×C42—21no—
444C2×C42C23×C4111yescharacteristic
445C2×C42C23×C4111yescharacteristic
446#107—41no—
447#107D4×C4114yes—
448#106—22no—
449#106—22no—
450#106—22no—
451C4⋊C8—22no—
452#103—22no—
453#103—22no—
454#103—22no—
455#102—22no—
456#102—22no—
457#102—22no—
458C22⋊C8—22no—
459C22⋊C8—22no—
460#97—22no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95D4×C4111yescharacteristic
468#95D4×C4111yescharacteristic
469C24—21no—
470C24C2×D4×C4111yescharacteristic
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8#41×C4112yes—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—81no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4C2×D4×C4111yescharacteristic
500C22×C4C2×D4×C4111yescharacteristic
501C22×C4C2×D4×C4111yescharacteristic
502C22×C4C2×D4×C4111yescharacteristic
503C22×C4C2×D4×C4111yescharacteristic
504C22×C4C24×C4111yescharacteristic
505SD16—44no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8C2×D4×C4112yes—
517C2×C8#41×C4112yes—
518C4⋊C4—24no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4C2×D4×C4112yes—
533C4⋊C4C2×D4×C4112yes—
534C4⋊C4#41×C4112yes—
535C22⋊C4—24no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—81no—
542C22⋊C4—81no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—42no—
550C42—42no—
551C42—42no—
552C42—81no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23C22×D4×C4111yescharacteristic
568Q8—22no—
569Q8—22no—
570Q8—41no—
571Q8—41no—
572D4—41no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—84no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4C22×D4×C4111yescharacteristic
618C2×C4C2×#41×C4111yescharacteristic
619C2×C4C2×#41×C4111yescharacteristic
620C2×C4C2×#41×C4111yescharacteristic
621C2×C4H(5,𝔽2)×C4111yescharacteristic
622C2×C42−1+4×C4111yescharacteristic
623C8—22no—
624C8—22no—
625C8—41no—
626C8—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22C41×#52511yescharacteristic
642C22D42×C4111yescharacteristic
643C22C41×#54711yescharacteristic
644C22C41×#57511yescharacteristic
645C22C41×#57511yescharacteristic
646C22C41×#57711yescharacteristic
647C22C41×#57711yescharacteristic
648C4—41no—
649C4—41no—
650C4—42no—
651C4—41no—
652C4—42no—
653C4—41no—
654C4—42no—
655C4—42no—
656C4—41no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4C41×#53211yescharacteristic
661C4C41×#54211yescharacteristic
662C4C41×#54811yescharacteristic
663C4C41×#55111yescharacteristic
664C2—81no—
665C2—161no—
666C2C41×#246111yescharacteristic
667C2C41×#311111yescharacteristic
668C2C41×#312611yescharacteristic
669C2C41×#326711yescharacteristic
670C2C41×#327111yescharacteristic
671C2C41×#335011yescharacteristic
672C2C41×#335111yescharacteristic
subgroupG/H
center, socleC23×C41C22×D4
commutator, Frattini, cosocleC22×C4C24×C41
prime radicalC2×#121×C41C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C41 ◁ C4×C22⋊C4×C41 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C41×#479C2semidirect
4. C41×#2362C2semidirect
5. C41×#2065C2semidirect
6. C41×#2059C2semidirect
7. C41×#2035C2semidirect
9. C41×#1973C2semidirect
10. C41×#1927C2semidirect
11. C41×#1926C2semidirect
12. C41×#1924C2semidirect
13. C41×#1880C2semidirect
14. C41×#1854C2semidirect
15. C41×#1776C2semidirect
290. #26811C41direct (N × H)
329. C2×#479C2×C41semidirect
331. #2362C2×C41semidirect
332. #2065C2×C41semidirect
333. #2059C2×C41semidirect
334. #2035C2×C41semidirect
336. #1973C2×C41semidirect
337. #1927C2×C41semidirect
338. #1926C2×C41semidirect
339. #1924C2×C41semidirect
340. #1880C2×C41semidirect
341. #1854C2×C41semidirect
342. #1776C2×C41semidirect
397. C41#26811direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C41×#4822
C2×C41×#4792
C41×#24902
C41×#23622
C41×#20652
C41×#20592
C41×#20352
C41×#20002
C41×#19732
C41×#19272
C41×#19262
C41×#19242
C41×#18802
C41×#18542
C41×#17762
#2681141