Finite Group Databasebeta

← C41×#18456 #23794657

Subgroups — C41×#18456 #23794657

Order 10496.

996 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#3536C211yesmaximal, characteristic, complemented
2C41×#3194C211yesmaximal, characteristic, complemented
3C41×#3186C211yesmaximal, characteristic, complemented
4C41×#2816C211yesmaximal, characteristic, complemented
5C41×#1610C212yesmaximal, complemented
6C41×#1609C212yesmaximal, complemented
7C41×#1598C212yesmaximal, complemented
8C41×#1597C212yesmaximal, complemented
9C41×#1516C211yesmaximal, characteristic, complemented
10C41×#1510C211yesmaximal, characteristic, complemented
11C41×#1472C211yesmaximal, characteristic, complemented
12C41×#562—22no—
13C41×#554—21no—
14C41×#548—21no—
15C41×#547—21no—
16C41×#546—21no—
17C41×#546—22no—
18C41×#543—21no—
19C41×#542—21no—
20C41×#539C2212yes—
21C41×#538—21no—
22C41×#537—21no—
23C41×#537C2212yes—
24C41×#525C2211yescharacteristic
25C2×C22⋊Q8×C41C2211yescharacteristic
26C2×#121×C41C2211yescharacteristic
27C2×#121×C41C2211yescharacteristic
28C41×#483C2211yescharacteristic, complemented
29C41×#482—21no—
30C41×#480—21no—
31C41×#480C2212yes—
32C41×#480C2211yescharacteristic, complemented
33C41×#469—21no—
34C41×#468—21no—
35C41×#466—22no—
36C41×#450C2211yescharacteristic, complemented
37C41×#449—21no—
38C41×#447—21no—
39C41×#447C2212yes—
40C41×#447C2211yescharacteristic, complemented
41C41×#407C2211yescharacteristic
42C2×C22⋊C8×C41C2211yescharacteristic
43C41×#399—21no—
44C41×#398C2212yescomplemented
45C41×#394—22no—
46C41×#394C2212yescomplemented
47C41×#393—21no—
48C41×#381C2211yescharacteristic
49C41×#328C2212yescomplemented
50C41×#327C2212yes—
51C41×#327C2212yes—
52C41×#327C2212yescomplemented
53C41×#324C2212yescomplemented
54C41×#324C2212yescomplemented
55C2×#41×C41—21no—
56C2×#41×C41—22no—
57C2×#41×C41D411yescharacteristic
58C22×Q8×C41D411yescharacteristic
59C22×D4×C41—21no—
60C22×D4×C41—21no—
61C22×D4×C41D411yescharacteristic
62C22×D4×C41C2311yescharacteristic
63C23×C4×C41C2311yescharacteristic
64C2×SD16×C41—21no—
65C2×D8×C41—22no—
66C2×D8×C41—21no—
67C2×M16×C41—21no—
68C22×C8×C41—21no—
69C4⋊Q8×C41—21no—
70#126×C41—22no—
71#125×C41—22no—
72#124×C41—22no—
73#124×C41—21no—
74#124×C41—22no—
75#123×C41—22no—
76#123×C41—22no—
77#123×C41—22no—
78#123×C41—21no—
79#123×C41—22no—
80C22⋊Q8×C41—21no—
81C22⋊Q8×C41—22no—
82C22⋊Q8×C41—22no—
83C22⋊Q8×C41—22no—
84C22⋊Q8×C41—22no—
85C22⋊Q8×C41—21no—
86C22⋊Q8×C41—21no—
87C22⋊Q8×C41—21no—
88C22⋊Q8×C41—21no—
89C22⋊Q8×C41—22no—
90C22⋊Q8×C41—22no—
91C22⋊Q8×C41D411yescharacteristic
92C22⋊Q8×C41C2311yescharacteristic
93#121×C41—21no—
94#121×C41—22no—
95#121×C41—22no—
96#121×C41—22no—
97#121×C41—22no—
98#121×C41—21no—
99#121×C41—21no—
100#121×C41—22no—
101#121×C41—21no—
102#121×C41—21no—
103#121×C41—21no—
104#121×C41—21no—
105#121×C41D412yes—
106#121×C41D411yescharacteristic
107#121×C41C2312yes—
108#121×C41C2311yescharacteristic
109#120×C41—22no—
110#120×C41—21no—
111C4×Q8×C41—21no—
112C4×D4×C41—22no—
113C4×D4×C41—21no—
114C4×D4×C41—21no—
115C4×D4×C41—21no—
116C4×D4×C41—22no—
117#117×C41D411yescharacteristic
118C2×C4⋊C4×C41—21no—
119C2×C4⋊C4×C41—22no—
120C2×C4⋊C4×C41D411yescharacteristic
121C2×C4⋊C4×C41D411yescharacteristic
122C2×C4⋊C4×C41C2311yescharacteristic
123C2×C4⋊C4×C41C2312yes—
124C2×C22⋊C4×C41—22no—
125C2×C22⋊C4×C41—21no—
126C2×C22⋊C4×C41—21no—
127C2×C22⋊C4×C41—21no—
128C2×C22⋊C4×C41—22no—
129C2×C22⋊C4×C41—22no—
130C2×C22⋊C4×C41D412yes—
131#107×C41—22no—
132#107×C41—21no—
133#106×C41—21no—
134#103×C41—21no—
135#102×C41—22no—
136#102×C41—21no—
137#102×C41—22no—
138#102×C41—21no—
139#102×C41—21no—
140C22⋊C8×C41—21no—
141C22⋊C8×C41—21no—
142C22⋊C8×C41C2311yescharacteristic
143C22⋊C8×C41C2311yescharacteristic
144C22⋊C8×C41C2312yes—
145#95×C41—21no—
146#95×C41—22no—
147#95×C41C2312yes—
148C24×C41—21no—
149C24×C41—21no—
150C24×C41C2×D411yescharacteristic
151#41×C41—82no—
152#41×C41—82no—
153#41×C41—81no—
154#41×C41—82no—
155C2×Q8×C41—22no—
156C2×Q8×C41—21no—
157C2×Q8×C41—21no—
158C2×Q8×C41—81no—
159C2×Q8×C41C2×D411yescharacteristic
160C2×D4×C41—21no—
161C2×D4×C41—21no—
162C2×D4×C41—22no—
163C2×D4×C41—22no—
164C2×D4×C41—22no—
165C2×D4×C41—21no—
166C2×D4×C41—22no—
167C2×D4×C41—21no—
168C2×D4×C41—21no—
169C2×D4×C41—21no—
170C2×D4×C41—41no—
171C2×D4×C41—41no—
172C2×D4×C41—81no—
173C2×D4×C41—81no—
174C2×D4×C41—82no—
175C2×D4×C41—82no—
176C2×D4×C41C2×D411yescharacteristic
177C2×D4×C41C2×D412yes—
178C22×C4×C41—22no—
179C22×C4×C41—22no—
180C22×C4×C41—22no—
181C22×C4×C41—21no—
182C22×C4×C41—21no—
183C22×C4×C41—22no—
184C22×C4×C41—21no—
185C22×C4×C41—81no—
186C22×C4×C41C2×D412yes—
187C22×C4×C41C2×D412yes—
188C22×C4×C41C2×D411yescharacteristic
189C22×C4×C41C2×D411yescharacteristic
190C22×C4×C41C2×D411yescharacteristic
191C22×C4×C41C2×D411yescharacteristic
192C22×C4×C41C2×D411yescharacteristic
193C22×C4×C41C2411yescharacteristic
194SD16×C41—81no—
195D8×C41—82no—
196D8×C41—81no—
197M16×C41—81no—
198C2×C8×C41—22no—
199C2×C8×C41—21no—
200C2×C8×C41—21no—
201C2×C8×C41—81no—
202C4⋊C4×C41—22no—
203C4⋊C4×C41—22no—
204C4⋊C4×C41—22no—
205C4⋊C4×C41—22no—
206C4⋊C4×C41—21no—
207C4⋊C4×C41—21no—
208C4⋊C4×C41—21no—
209C4⋊C4×C41—21no—
210C4⋊C4×C41—22no—
211C4⋊C4×C41—22no—
212C4⋊C4×C41—21no—
213C4⋊C4×C41—21no—
214C4⋊C4×C41—21no—
215C4⋊C4×C41—82no—
216C4⋊C4×C41C2×D411yescharacteristic
217C4⋊C4×C41C2×D412yes—
218C4⋊C4×C41C2×D411yescharacteristic
219C22⋊C4×C41—22no—
220C22⋊C4×C41—22no—
221C22⋊C4×C41—22no—
222C22⋊C4×C41—22no—
223C22⋊C4×C41—22no—
224C22⋊C4×C41—21no—
225C22⋊C4×C41—22no—
226C22⋊C4×C41—22no—
227C22⋊C4×C41—21no—
228C22⋊C4×C41—21no—
229C22⋊C4×C41—22no—
230C22⋊C4×C41—21no—
231C22⋊C4×C41—22no—
232C22⋊C4×C41—21no—
233C22⋊C4×C41—41no—
234C22⋊C4×C41—41no—
235C22⋊C4×C41—82no—
236C22⋊C4×C41—82no—
237C22⋊C4×C41—81no—
238C42×C41—22no—
239C42×C41—21no—
240C23×C41—22no—
241C23×C41—22no—
242C23×C41—21no—
243C23×C41—41no—
244C23×C41—41no—
245C23×C41—42no—
246C23×C41—42no—
247C23×C41—42no—
248C23×C41—41no—
249C23×C41—42no—
250C23×C41—81no—
251C23×C41—81no—
252C23×C41#12011yescharacteristic
253C23×C41#12011yescharacteristic
254C23×C41C22×D411yescharacteristic
255Q8×C41—41no—
256Q8×C41—42no—
257Q8×C41—81no—
258Q8×C41—82no—
259D4×C41—42no—
260D4×C41—41no—
261D4×C41—42no—
262D4×C41—42no—
263D4×C41—41no—
264D4×C41—41no—
265D4×C41—42no—
266D4×C41—42no—
267D4×C41—42no—
268D4×C41—42no—
269D4×C41—82no—
270D4×C41—81no—
271D4×C41—82no—
272D4×C41—82no—
273D4×C41—82no—
274D4×C41—82no—
275C2×C4×C41—21no—
276C2×C4×C41—22no—
277C2×C4×C41—21no—
278C2×C4×C41—22no—
279C2×C4×C41—21no—
280C2×C4×C41—22no—
281C2×C4×C41—22no—
282C2×C4×C41—22no—
283C2×C4×C41—41no—
284C2×C4×C41—41no—
285C2×C4×C41—41no—
286C2×C4×C41—41no—
287C2×C4×C41—41no—
288C2×C4×C41—41no—
289C2×C4×C41—42no—
290C2×C4×C41—42no—
291C2×C4×C41—42no—
292C2×C4×C41—42no—
293C2×C4×C41—41no—
294C2×C4×C41—42no—
295C2×C4×C41—42no—
296C2×C4×C41—81no—
297C2×C4×C41—82no—
298C2×C4×C41—82no—
299C2×C4×C41—82no—
300C2×C4×C41#12011yescharacteristic
301C2×C4×C41#12011yescharacteristic
302C2×C4×C41C22×D411yescharacteristic
303C2×C4×C41C22×D411yescharacteristic
304C8×C41—42no—
305C8×C41—41no—
306C8×C41—41no—
307#18456C4111yesmaximal, characteristic, direct product factor, Sylow
308C22×C41—21no—
309C22×C41—21no—
310C22×C41—21no—
311C22×C41—21no—
312C22×C41—21no—
313C22×C41—21no—
314C22×C41—21no—
315C22×C41—21no—
316C22×C41—41no—
317C22×C41—42no—
318C22×C41—41no—
319C22×C41—42no—
320C22×C41—41no—
321C22×C41—42no—
322C22×C41—82no—
323C22×C41—84no—
324C22×C41—81no—
325C22×C41—81no—
326C22×C41—81no—
327C22×C41—162no—
328C22×C41C2×#12011yescharacteristic
329C22×C41#57612yes—
330C4×C41—21no—
331C4×C41—21no—
332C4×C41—21no—
333C4×C41—21no—
334C4×C41—42no—
335C4×C41—42no—
336C4×C41—41no—
337C4×C41—41no—
338C4×C41—41no—
339C4×C41—42no—
340C4×C41—82no—
341C4×C41—81no—
342#3536C2×C4111yescharacteristic, complemented
343#3194C2×C4111yescharacteristic, complemented
344#3186C2×C4111yescharacteristic, complemented
345#2816C2×C4111yescharacteristic, complemented
346#1610C2×C4112yescomplemented
347#1609C2×C4112yescomplemented
348#1598C2×C4112yescomplemented
349#1597C2×C4112yescomplemented
350#1516C2×C4111yescharacteristic, complemented
351#1510C2×C4111yescharacteristic, complemented
352#1472C2×C4111yescharacteristic, complemented
353C2×C41—22no—
354C2×C41—41no—
355C2×C41—41no—
356C2×C41—81no—
357C2×C41—82no—
358C2×C41—161no—
359C2×C41#300811yescharacteristic
360C2×C41#302011yescharacteristic
361C2×C41#302611yescharacteristic
362#562—22no—
363#554—21no—
364#548—21no—
365#547—21no—
366#546—21no—
367#546—22no—
368#543—21no—
369#542—21no—
370#539C22×C4112yes—
371#538—21no—
372#537—21no—
373#537C22×C4112yes—
374#525C22×C4111yescharacteristic
375C2×C22⋊Q8C22×C4111yescharacteristic
376C2×#121C22×C4111yescharacteristic
377C2×#121C22×C4111yescharacteristic
378#483C22×C4111yescharacteristic, complemented
379#482—21no—
380#480—21no—
381#480C22×C4112yes—
382#480C22×C4111yescharacteristic, complemented
383#469—21no—
384#468—21no—
385#466—22no—
386#450C22×C4111yescharacteristic, complemented
387#449—21no—
388#447—21no—
389#447C22×C4112yes—
390#447C22×C4111yescharacteristic, complemented
391#407C22×C4111yescharacteristic
392C2×C22⋊C8C22×C4111yescharacteristic
393#399—21no—
394#398C22×C4112yescomplemented
395#394—22no—
396#394C22×C4112yescomplemented
397#393—21no—
398#381C22×C4111yescharacteristic
399#328C22×C4112yescomplemented
400#327C22×C4112yes—
401#327C22×C4112yes—
402#327C22×C4112yescomplemented
403#324C22×C4112yescomplemented
404#324C22×C4112yescomplemented
405C41#1845611yescharacteristic, direct product factor, Sylow
406C2×#41—21no—
407C2×#41—22no—
408C2×#41D4×C4111yescharacteristic
409C22×Q8D4×C4111yescharacteristic
410C22×D4—21no—
411C22×D4—21no—
412C22×D4D4×C4111yescharacteristic
413C22×D4C23×C4111yescharacteristic
414C23×C4C23×C4111yescharacteristic
415C2×SD16—21no—
416C2×D8—22no—
417C2×D8—21no—
418C2×M16—21no—
419C22×C8—21no—
420C4⋊Q8—21no—
421#126—22no—
422#125—22no—
423#124—22no—
424#124—21no—
425#124—22no—
426#123—22no—
427#123—22no—
428#123—22no—
429#123—21no—
430#123—22no—
431C22⋊Q8—21no—
432C22⋊Q8—22no—
433C22⋊Q8—22no—
434C22⋊Q8—22no—
435C22⋊Q8—22no—
436C22⋊Q8—21no—
437C22⋊Q8—21no—
438C22⋊Q8—21no—
439C22⋊Q8—21no—
440C22⋊Q8—22no—
441C22⋊Q8—22no—
442C22⋊Q8D4×C4111yescharacteristic
443C22⋊Q8C23×C4111yescharacteristic
444#121—21no—
445#121—22no—
446#121—22no—
447#121—22no—
448#121—22no—
449#121—21no—
450#121—21no—
451#121—22no—
452#121—21no—
453#121—21no—
454#121—21no—
455#121—21no—
456#121D4×C4112yes—
457#121D4×C4111yescharacteristic
458#121C23×C4112yes—
459#121C23×C4111yescharacteristic
460#120—22no—
461#120—21no—
462C4×Q8—21no—
463C4×D4—22no—
464C4×D4—21no—
465C4×D4—21no—
466C4×D4—21no—
467C4×D4—22no—
468#117D4×C4111yescharacteristic
469C2×C4⋊C4—21no—
470C2×C4⋊C4—22no—
471C2×C4⋊C4D4×C4111yescharacteristic
472C2×C4⋊C4D4×C4111yescharacteristic
473C2×C4⋊C4C23×C4111yescharacteristic
474C2×C4⋊C4C23×C4112yes—
475C2×C22⋊C4—22no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—22no—
480C2×C22⋊C4—22no—
481C2×C22⋊C4D4×C4112yes—
482#107—22no—
483#107—21no—
484#106—21no—
485#103—21no—
486#102—22no—
487#102—21no—
488#102—22no—
489#102—21no—
490#102—21no—
491C22⋊C8—21no—
492C22⋊C8—21no—
493C22⋊C8C23×C4111yescharacteristic
494C22⋊C8C23×C4111yescharacteristic
495C22⋊C8C23×C4112yes—
496#95—21no—
497#95—22no—
498#95C23×C4112yes—
499C24—21no—
500C24—21no—
501C24C2×D4×C4111yescharacteristic
502#41—82no—
503#41—82no—
504#41—81no—
505#41—82no—
506C2×Q8—22no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—81no—
510C2×Q8C2×D4×C4111yescharacteristic
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—21no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—41no—
522C2×D4—41no—
523C2×D4—81no—
524C2×D4—81no—
525C2×D4—82no—
526C2×D4—82no—
527C2×D4C2×D4×C4111yescharacteristic
528C2×D4C2×D4×C4112yes—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—22no—
535C22×C4—21no—
536C22×C4—81no—
537C22×C4C2×D4×C4112yes—
538C22×C4C2×D4×C4112yes—
539C22×C4C2×D4×C4111yescharacteristic
540C22×C4C2×D4×C4111yescharacteristic
541C22×C4C2×D4×C4111yescharacteristic
542C22×C4C2×D4×C4111yescharacteristic
543C22×C4C2×D4×C4111yescharacteristic
544C22×C4C24×C4111yescharacteristic
545SD16—81no—
546D8—82no—
547D8—81no—
548M16—81no—
549C2×C8—22no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—81no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—82no—
567C4⋊C4C2×D4×C4111yescharacteristic
568C4⋊C4C2×D4×C4112yes—
569C4⋊C4C2×D4×C4111yescharacteristic
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—21no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—22no—
581C22⋊C4—21no—
582C22⋊C4—22no—
583C22⋊C4—21no—
584C22⋊C4—41no—
585C22⋊C4—41no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C22⋊C4—81no—
589C42—22no—
590C42—21no—
591C23—22no—
592C23—22no—
593C23—21no—
594C23—41no—
595C23—41no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—41no—
600C23—42no—
601C23—81no—
602C23—81no—
603C23#120×C4111yescharacteristic
604C23#120×C4111yescharacteristic
605C23C22×D4×C4111yescharacteristic
606Q8—41no—
607Q8—42no—
608Q8—81no—
609Q8—82no—
610D4—42no—
611D4—41no—
612D4—42no—
613D4—42no—
614D4—41no—
615D4—41no—
616D4—42no—
617D4—42no—
618D4—42no—
619D4—42no—
620D4—82no—
621D4—81no—
622D4—82no—
623D4—82no—
624D4—82no—
625D4—82no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—81no—
648C2×C4—82no—
649C2×C4—82no—
650C2×C4—82no—
651C2×C4#120×C4111yescharacteristic
652C2×C4#120×C4111yescharacteristic
653C2×C4C22×D4×C4111yescharacteristic
654C2×C4C22×D4×C4111yescharacteristic
655C8—42no—
656C8—41no—
657C8—41no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—41no—
667C22—42no—
668C22—41no—
669C22—42no—
670C22—41no—
671C22—42no—
672C22—82no—
673C22—84no—
674C22—81no—
675C22—81no—
676C22—81no—
677C22—162no—
678C22C2×#120×C4111yescharacteristic
679C22C41×#57612yes—
680C4—21no—
681C4—21no—
682C4—21no—
683C4—21no—
684C4—42no—
685C4—42no—
686C4—41no—
687C4—41no—
688C4—41no—
689C4—42no—
690C4—82no—
691C4—81no—
692C2—22no—
693C2—41no—
694C2—41no—
695C2—82no—
696C2—81no—
697C2—161no—
698C2C41×#300811yescharacteristic
699C2C41×#302011yescharacteristic
700C2C41×#302611yescharacteristic
subgroupG/H
center, socleC22×C41C2×#120
commutator, Frattini, cosocleC22×C4C24×C41
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C41 ◁ C23×C4×C41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C41×#3536C2semidirect
2. C41×#3194C2semidirect
3. C41×#3186C2semidirect
4. C41×#2816C2semidirect
5. C41×#1610C2semidirect
6. C41×#1609C2semidirect
7. C41×#1598C2semidirect
8. C41×#1597C2semidirect
9. C41×#1516C2semidirect
10. C41×#1510C2semidirect
11. C41×#1472C2semidirect
28. C41×#483C22semidirect
32. C41×#480C22semidirect
36. C41×#450C22semidirect
40. C41×#447C22semidirect
44. C41×#398C22semidirect
46. C41×#394C22semidirect
49. C41×#328C22semidirect
52. C41×#327C22semidirect
53. C41×#324C22semidirect
54. C41×#324C22semidirect
307. #18456C41direct (N × H)
342. #3536C2×C41semidirect
343. #3194C2×C41semidirect
344. #3186C2×C41semidirect
345. #2816C2×C41semidirect
346. #1610C2×C41semidirect
347. #1609C2×C41semidirect
348. #1598C2×C41semidirect
349. #1597C2×C41semidirect
350. #1516C2×C41semidirect
351. #1510C2×C41semidirect
352. #1472C2×C41semidirect
378. #483C22×C41semidirect
382. #480C22×C41semidirect
386. #450C22×C41semidirect
390. #447C22×C41semidirect
394. #398C22×C41semidirect
396. #394C22×C41semidirect
399. #328C22×C41semidirect
402. #327C22×C41semidirect
403. #324C22×C41semidirect
404. #324C22×C41semidirect
405. C41#18456direct (N × H)

Maximal subgroups

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

subgroupindex
C41×#35362
C41×#31942
C41×#31862
C41×#28162
C41×#16102
C41×#16092
C41×#15982
C41×#15972
C41×#15162
C41×#15102
C41×#14722
#1845641