Finite Group Databasebeta

← C41×#29119 #23805320

Subgroups — C41×#29119 #23805320

Order 10496.

842 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#2629C211yesmaximal, characteristic, complemented
2C41×#2311C211yesmaximal, characteristic
3C41×#2072C211yesmaximal, characteristic, complemented
4C41×#2071C211yesmaximal, characteristic, complemented
5C41×#2026C211yesmaximal, characteristic, complemented
6C41×#2025C211yesmaximal, characteristic, complemented
7C41×#1936C211yesmaximal, characteristic, complemented
8C41×#1935C211yesmaximal, characteristic, complemented
9C41×#1934C211yesmaximal, characteristic, complemented
10C41×#1933C211yesmaximal, characteristic, complemented
11C41×#1824C211yesmaximal, characteristic, complemented
12C41×#1823C211yesmaximal, characteristic, complemented
13C41×#1788C211yesmaximal, characteristic
14C41×#1788C211yesmaximal, characteristic
15C41×#1750C211yesmaximal, characteristic, complemented
16C22×#41×C41C2211yescharacteristic
17C2×#125×C41C2211yescharacteristic
18C2×#117×C41C2211yescharacteristic
19C22×C4⋊C4×C41C2211yescharacteristic
20C2×#103×C41C2211yescharacteristic
21C2×#103×C41C2211yescharacteristic
22C2×#103×C41C2211yescharacteristic
23C2×#103×C41C2211yescharacteristic
24C2×#102×C41C2211yescharacteristic
25C2×#102×C41C2211yescharacteristic
26C2×#102×C41C2211yescharacteristic
27C2×#102×C41C2211yescharacteristic
28C2×C22⋊C8×C41C2211yescharacteristic
29C2×C22⋊C8×C41C2211yescharacteristic
30C2×#97×C41C2211yescharacteristic
31C2×C4×C8×C41C2211yescharacteristic
32C41×#398—21no—
33C41×#398—21no—
34C41×#396—21no—
35C41×#396—21no—
36C41×#391C2211yescharacteristic
37C41×#391C2211yescharacteristic
38C41×#390C2211yescharacteristic
39C41×#390C2211yescharacteristic
40C41×#389C2211yescharacteristic
41C41×#389C2211yescharacteristic
42C41×#386—21no—
43C41×#386—21no—
44C41×#384C2211yescharacteristic
45C41×#380—21no—
46C41×#380—21no—
47C41×#380C2211yescharacteristic
48C41×#380C2211yescharacteristic
49C41×#340C2211yescharacteristic
50C41×#340C2211yescharacteristic
51C41×#340C2211yescharacteristic
52C41×#340C2211yescharacteristic
53C41×#340C2211yescharacteristic
54C41×#340C2211yescharacteristic
55C41×#340C2211yescharacteristic
56C41×#340C2211yescharacteristic
57C41×#336C2211yescharacteristic
58C41×#336C2211yescharacteristic
59C2×#41×C41—22no—
60C2×#41×C41—22no—
61C2×#41×C41—22no—
62C2×#41×C41—22no—
63C2×#41×C41—41no—
64C2×#41×C41—41no—
65C22×Q8×C41C2311yescharacteristic
66C22×D4×C41—21no—
67C22×D4×C41C2311yescharacteristic
68C23×C4×C41—21no—
69C23×C4×C41—21no—
70C23×C4×C41C2311yescharacteristic
71C22×C8×C41C2311yescharacteristic
72C22×C8×C41C2311yescharacteristic
73C22×C8×C41C2311yescharacteristic
74C22×C8×C41C2311yescharacteristic
75#125×C41—41no—
76#125×C41—41no—
77#117×C41—41no—
78#117×C41—41no—
79C2×C4⋊C4×C41—22no—
80C2×C4⋊C4×C41—22no—
81C2×C4⋊C4×C41—21no—
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×C41—21no—
88C2×C4⋊C4×C41D411yescharacteristic
89C2×C4⋊C4×C41D411yescharacteristic
90C2×C4⋊C4×C41C2311yescharacteristic
91C2×C4⋊C4×C41C2311yescharacteristic
92C2×C4⋊C4×C41C2311yescharacteristic
93C2×C4⋊C4×C41C2311yescharacteristic
94C2×C4⋊C4×C41C2311yescharacteristic
95C2×C4⋊C4×C41C2311yescharacteristic
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×C41—21no—
102C2×C22⋊C4×C41D411yescharacteristic
103C2×C22⋊C4×C41D411yescharacteristic
104C2×C42×C41C2311yescharacteristic
105C2×C42×C41C2311yescharacteristic
106#103×C41—22no—
107#103×C41—22no—
108#103×C41—41no—
109#103×C41—41no—
110#102×C41—22no—
111#102×C41—22no—
112#102×C41—41no—
113#102×C41—41no—
114C22⋊C8×C41—22no—
115C22⋊C8×C41—22no—
116#97×C41—41no—
117C4×C8×C41—41no—
118#95×C41—21no—
119#95×C41—21no—
120#95×C41—21no—
121#95×C41—21no—
122#95×C41—21no—
123#95×C41—21no—
124#95×C41—21no—
125#95×C41—21no—
126C24×C41—21no—
127C24×C41C2×D411yescharacteristic
128#41×C41—44no—
129#41×C41—44no—
130#41×C41—44no—
131#41×C41—44no—
132C2×Q8×C41—21no—
133C2×Q8×C41—21no—
134C2×Q8×C41—21no—
135C2×Q8×C41—21no—
136C2×Q8×C41—21no—
137C2×Q8×C41#4112yes—
138C2×D4×C41—24no—
139C2×D4×C41—21no—
140C2×D4×C41—21no—
141C2×D4×C41—21no—
142C2×D4×C41—21no—
143C2×D4×C41—21no—
144C2×D4×C41—42no—
145C2×D4×C41—42no—
146C2×D4×C41#4112yes—
147C22×C4×C41—21no—
148C22×C4×C41—21no—
149C22×C4×C41—21no—
150C22×C4×C41—21no—
151C22×C4×C41—24no—
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—42no—
160C22×C4×C41—42no—
161C22×C4×C41—42no—
162C22×C4×C41—81no—
163C22×C4×C41—81no—
164C22×C4×C41C2×D411yescharacteristic
165C22×C4×C41C2×D411yescharacteristic
166C22×C4×C41C2×D411yescharacteristic
167C22×C4×C41C2×D411yescharacteristic
168C22×C4×C41C2×D411yescharacteristic
169C22×C4×C41#4112yes—
170C22×C4×C41#4112yes—
171C22×C4×C41C2411yescharacteristic
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×C41—21no—
180C2×C8×C41—21no—
181C2×C8×C41—21no—
182C2×C8×C41—21no—
183C2×C8×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—21no—
192C4⋊C4×C41—21no—
193C4⋊C4×C41—21no—
194C4⋊C4×C41—21no—
195C4⋊C4×C41—21no—
196C4⋊C4×C41—41no—
197C4⋊C4×C41—41no—
198C4⋊C4×C41—42no—
199C4⋊C4×C41—42no—
200C4⋊C4×C41—42no—
201C4⋊C4×C41—81no—
202C4⋊C4×C41—81no—
203C4⋊C4×C41—81no—
204C4⋊C4×C41—81no—
205C22⋊C4×C41—41no—
206C22⋊C4×C41—41no—
207C22⋊C4×C41—81no—
208C22⋊C4×C41—81no—
209C22⋊C4×C41—81no—
210C22⋊C4×C41—81no—
211C22⋊C4×C41—81no—
212C22⋊C4×C41—81no—
213C42×C41—21no—
214C42×C41—21no—
215C42×C41—21no—
216C42×C41—21no—
217C23×C41—21no—
218C23×C41—21no—
219C23×C41—21no—
220C23×C41—21no—
221C23×C41—21no—
222C23×C41—21no—
223C23×C41—22no—
224C23×C41—41no—
225C23×C41—41no—
226C23×C41—41no—
227C23×C41—41no—
228C23×C41—41no—
229C23×C41—41no—
230C23×C41#12412yes—
231C23×C41C22×D411yescharacteristic
232Q8×C41—22no—
233Q8×C41—22no—
234Q8×C41—41no—
235Q8×C41—41no—
236D4×C41—22no—
237D4×C41—22no—
238D4×C41—48no—
239D4×C41—41no—
240D4×C41—41no—
241C2×C4×C41—21no—
242C2×C4×C41—21no—
243C2×C4×C41—22no—
244C2×C4×C41—22no—
245C2×C4×C41—22no—
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—21no—
260C2×C4×C41—48no—
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×C41—41no—
281C2×C4×C41—84no—
282C2×C4×C41#12412yes—
283C2×C4×C41C2×#4111yescharacteristic
284C2×C4×C41C2×#4111yescharacteristic
285C2×C4×C41C2×#4111yescharacteristic
286C2×C4×C41C2×#4111yescharacteristic
287C2×C4×C41H(5,𝔽2)11yescharacteristic
288C2×C4×C41H(5,𝔽2)11yescharacteristic
289C8×C41—41no—
290C8×C41—41no—
291C8×C41—41no—
292C8×C41—41no—
293#29119C4111yesmaximal, characteristic, direct product factor, Sylow
294C22×C41—22no—
295C22×C41—22no—
296C22×C41—22no—
297C22×C41—41no—
298C22×C41—41no—
299C22×C41—41no—
300C22×C41—41no—
301C22×C41—42no—
302C22×C41—42no—
303C22×C41—42no—
304C22×C41—81no—
305C22×C41—81no—
306C22×C41—81no—
307C22×C41—81no—
308C22×C41#52511yescharacteristic
309C22×C41C2×#12411yescharacteristic
310C22×C41#53411yescharacteristic
311C22×C41#57611yescharacteristic
312C22×C41#57711yescharacteristic
313C22×C41#57711yescharacteristic
314C22×C41#57811yescharacteristic
315C4×C41—22no—
316C4×C41—42no—
317C4×C41—41no—
318C4×C41—41no—
319C4×C41—41no—
320C4×C41—41no—
321C4×C41—81no—
322C4×C41—81no—
323C4×C41—81no—
324C4×C41—81no—
325C4×C41—81no—
326C4×C41—81no—
327C4×C41#55111yescharacteristic
328C4×C41#55111yescharacteristic
329C4×C41#55111yescharacteristic
330C4×C41#55111yescharacteristic
331#2629C2×C4111yescharacteristic, complemented
332#2311C2×C4111yescharacteristic
333#2072C2×C4111yescharacteristic, complemented
334#2071C2×C4111yescharacteristic, complemented
335#2026C2×C4111yescharacteristic, complemented
336#2025C2×C4111yescharacteristic, complemented
337#1936C2×C4111yescharacteristic, complemented
338#1935C2×C4111yescharacteristic, complemented
339#1934C2×C4111yescharacteristic, complemented
340#1933C2×C4111yescharacteristic, complemented
341#1824C2×C4111yescharacteristic, complemented
342#1823C2×C4111yescharacteristic, complemented
343#1788C2×C4111yescharacteristic
344#1788C2×C4111yescharacteristic
345#1750C2×C4111yescharacteristic, complemented
346C2×C41—42no—
347C2×C41—82no—
348C2×C41#256111yescharacteristic
349C2×C41#311911yescharacteristic
350C2×C41#312011yescharacteristic
351C2×C41#313611yescharacteristic
352C2×C41#313711yescharacteristic
353C2×C41#320311yescharacteristic
354C2×C41#320411yescharacteristic
355C22×#41C22×C4111yescharacteristic
356C2×#125C22×C4111yescharacteristic
357C2×#117C22×C4111yescharacteristic
358C22×C4⋊C4C22×C4111yescharacteristic
359C2×#103C22×C4111yescharacteristic
360C2×#103C22×C4111yescharacteristic
361C2×#103C22×C4111yescharacteristic
362C2×#103C22×C4111yescharacteristic
363C2×#102C22×C4111yescharacteristic
364C2×#102C22×C4111yescharacteristic
365C2×#102C22×C4111yescharacteristic
366C2×#102C22×C4111yescharacteristic
367C2×C22⋊C8C22×C4111yescharacteristic
368C2×C22⋊C8C22×C4111yescharacteristic
369C2×#97C22×C4111yescharacteristic
370C2×C4×C8C22×C4111yescharacteristic
371#398—21no—
372#398—21no—
373#396—21no—
374#396—21no—
375#391C22×C4111yescharacteristic
376#391C22×C4111yescharacteristic
377#390C22×C4111yescharacteristic
378#390C22×C4111yescharacteristic
379#389C22×C4111yescharacteristic
380#389C22×C4111yescharacteristic
381#386—21no—
382#386—21no—
383#384C22×C4111yescharacteristic
384#380—21no—
385#380—21no—
386#380C22×C4111yescharacteristic
387#380C22×C4111yescharacteristic
388#340C22×C4111yescharacteristic
389#340C22×C4111yescharacteristic
390#340C22×C4111yescharacteristic
391#340C22×C4111yescharacteristic
392#340C22×C4111yescharacteristic
393#340C22×C4111yescharacteristic
394#340C22×C4111yescharacteristic
395#340C22×C4111yescharacteristic
396#336C22×C4111yescharacteristic
397#336C22×C4111yescharacteristic
398C41#2911911yescharacteristic, direct product factor, Sylow
399C2×#41—22no—
400C2×#41—22no—
401C2×#41—22no—
402C2×#41—22no—
403C2×#41—41no—
404C2×#41—41no—
405C22×Q8C23×C4111yescharacteristic
406C22×D4—21no—
407C22×D4C23×C4111yescharacteristic
408C23×C4—21no—
409C23×C4—21no—
410C23×C4C23×C4111yescharacteristic
411C22×C8C23×C4111yescharacteristic
412C22×C8C23×C4111yescharacteristic
413C22×C8C23×C4111yescharacteristic
414C22×C8C23×C4111yescharacteristic
415#125—41no—
416#125—41no—
417#117—41no—
418#117—41no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4D4×C4111yescharacteristic
429C2×C4⋊C4D4×C4111yescharacteristic
430C2×C4⋊C4C23×C4111yescharacteristic
431C2×C4⋊C4C23×C4111yescharacteristic
432C2×C4⋊C4C23×C4111yescharacteristic
433C2×C4⋊C4C23×C4111yescharacteristic
434C2×C4⋊C4C23×C4111yescharacteristic
435C2×C4⋊C4C23×C4111yescharacteristic
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4D4×C4111yescharacteristic
443C2×C22⋊C4D4×C4111yescharacteristic
444C2×C42C23×C4111yescharacteristic
445C2×C42C23×C4111yescharacteristic
446#103—22no—
447#103—22no—
448#103—41no—
449#103—41no—
450#102—22no—
451#102—22no—
452#102—41no—
453#102—41no—
454C22⋊C8—22no—
455C22⋊C8—22no—
456#97—41no—
457C4×C8—41no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466C24—21no—
467C24C2×D4×C4111yescharacteristic
468#41—44no—
469#41—44no—
470#41—44no—
471#41—44no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8#41×C4112yes—
478C2×D4—24no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4#41×C4112yes—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—24no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—81no—
503C22×C4—81no—
504C22×C4C2×D4×C4111yescharacteristic
505C22×C4C2×D4×C4111yescharacteristic
506C22×C4C2×D4×C4111yescharacteristic
507C22×C4C2×D4×C4111yescharacteristic
508C22×C4C2×D4×C4111yescharacteristic
509C22×C4#41×C4112yes—
510C22×C4#41×C4112yes—
511C22×C4C24×C4111yescharacteristic
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—41no—
537C4⋊C4—41no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—81no—
542C4⋊C4—81no—
543C4⋊C4—81no—
544C4⋊C4—81no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—81no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—22no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23#124×C4112yes—
571C23C22×D4×C4111yescharacteristic
572Q8—22no—
573Q8—22no—
574Q8—41no—
575Q8—41no—
576D4—22no—
577D4—22no—
578D4—48no—
579D4—41no—
580D4—41no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
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—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—48no—
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×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4#124×C4112yes—
623C2×C4C2×#41×C4111yescharacteristic
624C2×C4C2×#41×C4111yescharacteristic
625C2×C4C2×#41×C4111yescharacteristic
626C2×C4C2×#41×C4111yescharacteristic
627C2×C4H(5,𝔽2)×C4111yescharacteristic
628C2×C4H(5,𝔽2)×C4111yescharacteristic
629C8—41no—
630C8—41no—
631C8—41no—
632C8—41no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22C41×#52511yescharacteristic
648C22C2×#124×C4111yescharacteristic
649C22C41×#53411yescharacteristic
650C22C41×#57611yescharacteristic
651C22C41×#57711yescharacteristic
652C22C41×#57711yescharacteristic
653C22C41×#57811yescharacteristic
654C4—22no—
655C4—42no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4C41×#55111yescharacteristic
667C4C41×#55111yescharacteristic
668C4C41×#55111yescharacteristic
669C4C41×#55111yescharacteristic
670C2—42no—
671C2—82no—
672C2C41×#256111yescharacteristic
673C2C41×#311911yescharacteristic
674C2C41×#312011yescharacteristic
675C2C41×#313611yescharacteristic
676C2C41×#313711yescharacteristic
677C2C41×#320311yescharacteristic
678C2C41×#320411yescharacteristic
subgroupG/H
center, socleC23×C41C22×D4
commutator, Frattini, cosocleC22×C4C24×C41
prime radicalC22×#41×C41C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C41 ◁ C2×#117×C41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C41×#2629C2semidirect
3. C41×#2072C2semidirect
4. C41×#2071C2semidirect
5. C41×#2026C2semidirect
6. C41×#2025C2semidirect
7. C41×#1936C2semidirect
8. C41×#1935C2semidirect
9. C41×#1934C2semidirect
10. C41×#1933C2semidirect
11. C41×#1824C2semidirect
12. C41×#1823C2semidirect
15. C41×#1750C2semidirect
293. #29119C41direct (N × H)
331. #2629C2×C41semidirect
333. #2072C2×C41semidirect
334. #2071C2×C41semidirect
335. #2026C2×C41semidirect
336. #2025C2×C41semidirect
337. #1936C2×C41semidirect
338. #1935C2×C41semidirect
339. #1934C2×C41semidirect
340. #1933C2×C41semidirect
341. #1824C2×C41semidirect
342. #1823C2×C41semidirect
345. #1750C2×C41semidirect
398. C41#29119direct (N × H)

Maximal subgroups

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

subgroupindex
C41×#26292
C41×#23112
C41×#20722
C41×#20712
C41×#20262
C41×#20252
C41×#19362
C41×#19352
C41×#19342
C41×#19332
C41×#18242
C41×#18232
C41×#17882
C41×#17502
#2911941