Finite Group Databasebeta

← C41×#13874 #23790075

Subgroups — C41×#13874 #23790075

Order 10496.

1918 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C41×#381C211yesmaximal, characteristic
2C2×C41×#381C211yesmaximal, characteristic
3C2×C41×#380C211yesmaximal, characteristic
4C2×C4×C22⋊C4×C41C211yesmaximal, characteristic
5C22×#95×C41C211yesmaximal, characteristic
6C41×#1443C212yesmaximal, complemented
7C41×#1442C212yesmaximal, complemented
8C41×#1436C212yesmaximal, complemented
9C41×#1434C212yesmaximal, complemented
10C41×C22⋊#95C211yesmaximal, characteristic
11C41×C22⋊#95C211yesmaximal, characteristic
12C24×C4×C41C2211yescharacteristic
13C24×C4×C41C2211yescharacteristic
14C24×C4×C41C2211yescharacteristic
15C22×C4⋊C4×C41C2212yes—
16C22×C22⋊C4×C41C2211yescharacteristic
17C22×C22⋊C4×C41C2211yescharacteristic
18C22×C22⋊C4×C41C2211yescharacteristic
19C22×C22⋊C4×C41C2211yescharacteristic
20C22×C42×C41C2212yes—
21C41×#381—24no—
22C41×#381—24no—
23C41×#380—24no—
24C4×C22⋊C4×C41—24no—
25C2×#95×C41C418yescomplemented
26C2×#95×C41C2212yes—
27C2×#95×C41C2212yes—
28C2×#95×C41C2212yes—
29C2×#95×C41C2212yes—
30C2×#95×C41C2212yes—
31C2×#95×C41C2212yes—
32C2×#95×C41C2212yes—
33C2×#95×C41C2212yes—
34C2×#95×C41C2212yes—
35C2×#95×C41C2212yes—
36C2×#95×C41C2211yescharacteristic
37C2×#95×C41C2211yescharacteristic
38C2×#95×C41C2211yescharacteristic
39C2×#95×C41C2211yescharacteristic
40C25×C41C2311yescharacteristic
41C23×C4×C41—22no—
42C23×C4×C41—22no—
43C23×C4×C41—22no—
44C23×C4×C41—22no—
45C23×C4×C41—22no—
46C23×C4×C41—22no—
47C23×C4×C41—22no—
48C23×C4×C41—22no—
49C23×C4×C41—22no—
50C23×C4×C41—22no—
51C23×C4×C41—24no—
52C23×C4×C41—24no—
53C23×C4×C41—42no—
54C23×C4×C41—42no—
55C23×C4×C41C2×C414yes—
56C23×C4×C41C2×C414yes—
57C23×C4×C41C2×C414yes—
58C23×C4×C41C2312yes—
59C23×C4×C41C2312yes—
60C23×C4×C41C2311yescharacteristic
61C23×C4×C41C2311yescharacteristic
62C23×C4×C41C2311yescharacteristic
63C23×C4×C41C2311yescharacteristic
64C23×C4×C41C2312yes—
65C23×C4×C41C2312yes—
66C23×C4×C41C2311yescharacteristic
67C23×C4×C41C2311yescharacteristic
68C2×C4⋊C4×C41—24no—
69C2×C4⋊C4×C41—24no—
70C2×C4⋊C4×C41—42no—
71C2×C22⋊C4×C41—22no—
72C2×C22⋊C4×C41—22no—
73C2×C22⋊C4×C41—22no—
74C2×C22⋊C4×C41—22no—
75C2×C22⋊C4×C41—22no—
76C2×C22⋊C4×C41—22no—
77C2×C22⋊C4×C41—22no—
78C2×C22⋊C4×C41—22no—
79C2×C22⋊C4×C41—22no—
80C2×C22⋊C4×C41—22no—
81C2×C22⋊C4×C41D414yes—
82C2×C22⋊C4×C41D414yes—
83C2×C42×C41—24no—
84C2×C42×C41—24no—
85C2×C42×C41—42no—
86#95×C41—24no—
87#95×C41—24no—
88#95×C41—24no—
89#95×C41—24no—
90#95×C41—24no—
91#95×C41—24no—
92#95×C41—24no—
93#95×C41—24no—
94#95×C41—42no—
95#95×C41—42no—
96#95×C41C2×C414yes—
97#95×C41C2×C414yes—
98#95×C41C2×C414yes—
99#95×C41C2×C414yes—
100C24×C41—22no—
101C24×C41—22no—
102C24×C41—22no—
103C24×C41—22no—
104C24×C41C22×C412yes—
105C24×C41C2×D412yes—
106C24×C41C2×D412yes—
107C24×C41#4112yes—
108C24×C41#4112yes—
109C24×C41#4112yes—
110C24×C41#4112yes—
111C24×C41C2411yescharacteristic
112C22×C4×C41—21no—
113C22×C4×C41—21no—
114C22×C4×C41—21no—
115C22×C4×C41—21no—
116C22×C4×C41—22no—
117C22×C4×C41—22no—
118C22×C4×C41—28no—
119C22×C4×C41—28no—
120C22×C4×C41—28no—
121C22×C4×C41—28no—
122C22×C4×C41—28no—
123C22×C4×C41—21no—
124C22×C4×C41—21no—
125C22×C4×C41—21no—
126C22×C4×C41—21no—
127C22×C4×C41—21no—
128C22×C4×C41—21no—
129C22×C4×C41—22no—
130C22×C4×C41—22no—
131C22×C4×C41—22no—
132C22×C4×C41—22no—
133C22×C4×C41—22no—
134C22×C4×C41—22no—
135C22×C4×C41—22no—
136C22×C4×C41—22no—
137C22×C4×C41—21no—
138C22×C4×C41—21no—
139C22×C4×C41—21no—
140C22×C4×C41—21no—
141C22×C4×C41—22no—
142C22×C4×C41—22no—
143C22×C4×C41—21no—
144C22×C4×C41—21no—
145C22×C4×C41—21no—
146C22×C4×C41—21no—
147C22×C4×C41—21no—
148C22×C4×C41—21no—
149C22×C4×C41—22no—
150C22×C4×C41—22no—
151C22×C4×C41—22no—
152C22×C4×C41—22no—
153C22×C4×C41—22no—
154C22×C4×C41—22no—
155C22×C4×C41—28no—
156C22×C4×C41—28no—
157C22×C4×C41—22no—
158C22×C4×C41—22no—
159C22×C4×C41—22no—
160C22×C4×C41—22no—
161C22×C4×C41—22no—
162C22×C4×C41—22no—
163C22×C4×C41—22no—
164C22×C4×C41—22no—
165C22×C4×C41—22no—
166C22×C4×C41—22no—
167C22×C4×C41—22no—
168C22×C4×C41—22no—
169C22×C4×C41—22no—
170C22×C4×C41—22no—
171C22×C4×C41—44no—
172C22×C4×C41—44no—
173C22×C4×C41—48no—
174C22×C4×C41—48no—
175C22×C4×C41—48no—
176C22×C4×C41—48no—
177C22×C4×C41—44no—
178C22×C4×C41—44no—
179C22×C4×C41—44no—
180C22×C4×C41—44no—
181C22×C4×C41C22×C412yes—
182C22×C4×C41C22×C412yes—
183C22×C4×C41C22×C412yes—
184C22×C4×C41C22×C412yes—
185C22×C4×C41C22×C412yes—
186C22×C4×C41C22×C412yes—
187C22×C4×C41C2×D414yes—
188C22×C4×C41C2×D414yes—
189C22×C4×C41#4114yes—
190C22×C4×C41#4114yes—
191C4⋊C4×C41—48no—
192C22⋊C4×C41—28no—
193C22⋊C4×C41—28no—
194C22⋊C4×C41—44no—
195C22⋊C4×C41—44no—
196C42×C41—48no—
197C23×C41—22no—
198C23×C41—22no—
199C23×C41—22no—
200C23×C41—22no—
201C23×C41—24no—
202C23×C41—24no—
203C23×C41—24no—
204C23×C41—24no—
205C23×C41—24no—
206C23×C41—24no—
207C23×C41—24no—
208C23×C41—24no—
209C23×C41—24no—
210C23×C41—24no—
211C23×C41—24no—
212C23×C41—24no—
213C23×C41#11714yes—
214C23×C41C4×D414yes—
215C23×C41C4×D414yes—
216C23×C41#12114yes—
217C23×C41#12314yes—
218C23×C41#12414yes—
219C23×C41#12614yes—
220C23×C41C23×C411yescharacteristic
221C23×C41C22×D411yescharacteristic
222C23×C41C22×D411yescharacteristic
223C23×C41C2×#4111yescharacteristic
224C23×C41C2×#4111yescharacteristic
225C23×C41C2×#4112yes—
226C23×C41C2×#4112yes—
227C23×C41C2×#4111yescharacteristic
228C23×C41C2×#4111yescharacteristic
229C23×C41H(5,𝔽2)12yes—
230C23×C412−1+412yes—
231C2×C4×C41—22no—
232C2×C4×C41—22no—
233C2×C4×C41—22no—
234C2×C4×C41—22no—
235C2×C4×C41—24no—
236C2×C4×C41—24no—
237C2×C4×C41—24no—
238C2×C4×C41—24no—
239C2×C4×C41—22no—
240C2×C4×C41—22no—
241C2×C4×C41—22no—
242C2×C4×C41—22no—
243C2×C4×C41—22no—
244C2×C4×C41—22no—
245C2×C4×C41—22no—
246C2×C4×C41—22no—
247C2×C4×C41—22no—
248C2×C4×C41—22no—
249C2×C4×C41—22no—
250C2×C4×C41—22no—
251C2×C4×C41—24no—
252C2×C4×C41—24no—
253C2×C4×C41—24no—
254C2×C4×C41—24no—
255C2×C4×C41—24no—
256C2×C4×C41—24no—
257C2×C4×C41—416no—
258C2×C4×C41—416no—
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—42no—
268C2×C4×C41—42no—
269C2×C4×C41—42no—
270C2×C4×C41—42no—
271C2×C4×C41—42no—
272C2×C4×C41—42no—
273C2×C4×C41—42no—
274C2×C4×C41—42no—
275C2×C4×C41—42no—
276C2×C4×C41—42no—
277C2×C4×C41—42no—
278C2×C4×C41—42no—
279C2×C4×C41—416no—
280C2×C4×C41—42no—
281C2×C4×C41—42no—
282C2×C4×C41—42no—
283C2×C4×C41—42no—
284C2×C4×C41—42no—
285C2×C4×C41—42no—
286C2×C4×C41—42no—
287C2×C4×C41—42no—
288C2×C4×C41—42no—
289C2×C4×C41—42no—
290C2×C4×C41—42no—
291C2×C4×C41—42no—
292C2×C4×C41—42no—
293C2×C4×C41—42no—
294C2×C4×C41#11714yes—
295C2×C4×C41#11714yes—
296#13874C4111yesmaximal, characteristic, direct product factor, Sylow
297C22×C41—24no—
298C22×C41—24no—
299C22×C41—24no—
300C22×C41—24no—
301C22×C41—24no—
302C22×C41—28no—
303C22×C41—28no—
304C22×C41—28no—
305C22×C41—28no—
306C22×C41—24no—
307C22×C41#38818yes—
308C22×C41C2×#11711yescharacteristic
309C22×C41C2×#11711yescharacteristic
310C22×C41C2×#11711yescharacteristic
311C22×C41C2×C4×D411yescharacteristic
312C22×C41C2×C4×D411yescharacteristic
313C22×C41#51811yescharacteristic
314C22×C41#51911yescharacteristic
315C22×C41C2×#12111yescharacteristic
316C22×C41C2×#12311yescharacteristic
317C22×C41C2×#12411yescharacteristic
318C22×C41C2×#12611yescharacteristic
319C22×C41#52912yes—
320C22×C41#52912yes—
321C22×C41#53912yes—
322C22×C41#53912yes—
323C22×C41#54612yes—
324C22×C41#54612yes—
325C22×C41#54712yes—
326C22×C41#54712yes—
327C22×C41#55112yes—
328C22×C41#55112yes—
329C22×C41#55212yes—
330C22×C41#55212yes—
331C4×C41—24no—
332C4×C41—24no—
333C4×C41—42no—
334C4×C41—42no—
335C4×C41—44no—
336C4×C41—44no—
337C4×C41—42no—
338C4×C41—42no—
339C4×C41—82no—
340C4×C41—82no—
341C2×#381C2×C4111yescharacteristic
342C2×#381C2×C4111yescharacteristic
343C2×#380C2×C4111yescharacteristic
344C2×C4×C22⋊C4C2×C4111yescharacteristic
345C22×#95C2×C4111yescharacteristic
346#1443C2×C4112yescomplemented
347#1442C2×C4112yescomplemented
348#1436C2×C4112yescomplemented
349#1434C2×C4112yescomplemented
350C22⋊#95C2×C4111yescharacteristic
351C22⋊#95C2×C4111yescharacteristic
352C2×C41—28no—
353C2×C41#228311yescharacteristic
354C2×C41C2×#38811yescharacteristic
355C2×C41#231311yescharacteristic
356C2×C41#234211yescharacteristic
357C2×C41#234211yescharacteristic
358C2×C41#234411yescharacteristic
359C2×C41#234411yescharacteristic
360C2×C41#241912yes—
361C2×C41#242512yes—
362C2×C41#248812yes—
363C2×C41#249312yes—
364C24×C4C22×C4111yescharacteristic
365C24×C4C22×C4111yescharacteristic
366C24×C4C22×C4111yescharacteristic
367C22×C4⋊C4C22×C4112yes—
368C22×C22⋊C4C22×C4111yescharacteristic
369C22×C22⋊C4C22×C4111yescharacteristic
370C22×C22⋊C4C22×C4111yescharacteristic
371C22×C22⋊C4C22×C4111yescharacteristic
372C22×C42C22×C4112yes—
373#381—24no—
374#381—24no—
375#380—24no—
376C4×C22⋊C4—24no—
377C2×#95C4×C4118yescomplemented
378C2×#95C22×C4112yes—
379C2×#95C22×C4112yes—
380C2×#95C22×C4112yes—
381C2×#95C22×C4112yes—
382C2×#95C22×C4112yes—
383C2×#95C22×C4112yes—
384C2×#95C22×C4112yes—
385C2×#95C22×C4112yes—
386C2×#95C22×C4112yes—
387C2×#95C22×C4112yes—
388C2×#95C22×C4111yescharacteristic
389C2×#95C22×C4111yescharacteristic
390C2×#95C22×C4111yescharacteristic
391C2×#95C22×C4111yescharacteristic
392C41#1387411yescharacteristic, direct product factor, Sylow
393C25C23×C4111yescharacteristic
394C23×C4—22no—
395C23×C4—22no—
396C23×C4—22no—
397C23×C4—22no—
398C23×C4—22no—
399C23×C4—22no—
400C23×C4—22no—
401C23×C4—22no—
402C23×C4—22no—
403C23×C4—22no—
404C23×C4—24no—
405C23×C4—24no—
406C23×C4—42no—
407C23×C4—42no—
408C23×C4C2×C4×C4114yes—
409C23×C4C2×C4×C4114yes—
410C23×C4C2×C4×C4114yes—
411C23×C4C23×C4112yes—
412C23×C4C23×C4112yes—
413C23×C4C23×C4111yescharacteristic
414C23×C4C23×C4111yescharacteristic
415C23×C4C23×C4111yescharacteristic
416C23×C4C23×C4111yescharacteristic
417C23×C4C23×C4112yes—
418C23×C4C23×C4112yes—
419C23×C4C23×C4111yescharacteristic
420C23×C4C23×C4111yescharacteristic
421C2×C4⋊C4—24no—
422C2×C4⋊C4—24no—
423C2×C4⋊C4—42no—
424C2×C22⋊C4—22no—
425C2×C22⋊C4—22no—
426C2×C22⋊C4—22no—
427C2×C22⋊C4—22no—
428C2×C22⋊C4—22no—
429C2×C22⋊C4—22no—
430C2×C22⋊C4—22no—
431C2×C22⋊C4—22no—
432C2×C22⋊C4—22no—
433C2×C22⋊C4—22no—
434C2×C22⋊C4D4×C4114yes—
435C2×C22⋊C4D4×C4114yes—
436C2×C42—24no—
437C2×C42—24no—
438C2×C42—42no—
439#95—24no—
440#95—24no—
441#95—24no—
442#95—24no—
443#95—24no—
444#95—24no—
445#95—24no—
446#95—24no—
447#95—42no—
448#95—42no—
449#95C2×C4×C4114yes—
450#95C2×C4×C4114yes—
451#95C2×C4×C4114yes—
452#95C2×C4×C4114yes—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24C22×C4×C4112yes—
458C24C2×D4×C4112yes—
459C24C2×D4×C4112yes—
460C24#41×C4112yes—
461C24#41×C4112yes—
462C24#41×C4112yes—
463C24#41×C4112yes—
464C24C24×C4111yescharacteristic
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—28no—
472C22×C4—28no—
473C22×C4—28no—
474C22×C4—28no—
475C22×C4—28no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—28no—
509C22×C4—28no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—48no—
529C22×C4—48no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4C22×C4×C4112yes—
535C22×C4C22×C4×C4112yes—
536C22×C4C22×C4×C4112yes—
537C22×C4C22×C4×C4112yes—
538C22×C4C22×C4×C4112yes—
539C22×C4C22×C4×C4112yes—
540C22×C4C2×D4×C4114yes—
541C22×C4C2×D4×C4114yes—
542C22×C4#41×C4114yes—
543C22×C4#41×C4114yes—
544C4⋊C4—48no—
545C22⋊C4—28no—
546C22⋊C4—28no—
547C22⋊C4—44no—
548C22⋊C4—44no—
549C42—48no—
550C23—22no—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23#117×C4114yes—
567C23C4×D4×C4114yes—
568C23C4×D4×C4114yes—
569C23#121×C4114yes—
570C23#123×C4114yes—
571C23#124×C4114yes—
572C23#126×C4114yes—
573C23C23×C4×C4111yescharacteristic
574C23C22×D4×C4111yescharacteristic
575C23C22×D4×C4111yescharacteristic
576C23C2×#41×C4111yescharacteristic
577C23C2×#41×C4111yescharacteristic
578C23C2×#41×C4112yes—
579C23C2×#41×C4112yes—
580C23C2×#41×C4111yescharacteristic
581C23C2×#41×C4111yescharacteristic
582C23H(5,𝔽2)×C4112yes—
583C232−1+4×C4112yes—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—416no—
611C2×C4—416no—
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—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—416no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4#117×C4114yes—
648C2×C4#117×C4114yes—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—24no—
653C22—24no—
654C22—24no—
655C22—28no—
656C22—28no—
657C22—28no—
658C22—28no—
659C22C41×#38818yes—
660C22C2×#117×C4111yescharacteristic
661C22C2×#117×C4111yescharacteristic
662C22C2×#117×C4111yescharacteristic
663C22C2×C4×D4×C4111yescharacteristic
664C22C2×C4×D4×C4111yescharacteristic
665C22C41×#51811yescharacteristic
666C22C41×#51911yescharacteristic
667C22C2×#121×C4111yescharacteristic
668C22C2×#123×C4111yescharacteristic
669C22C2×#124×C4111yescharacteristic
670C22C2×#126×C4111yescharacteristic
671C22C41×#52912yes—
672C22C41×#52912yes—
673C22C41×#53912yes—
674C22C41×#53912yes—
675C22C41×#54612yes—
676C22C41×#54612yes—
677C22C41×#54712yes—
678C22C41×#54712yes—
679C22C41×#55112yes—
680C22C41×#55112yes—
681C22C41×#55212yes—
682C22C41×#55212yes—
683C4—24no—
684C4—24no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—44no—
690C4—44no—
691C4—82no—
692C4—82no—
693C2—28no—
694C2C41×#228311yescharacteristic
695C2C2×C41×#38811yescharacteristic
696C2C41×#231311yescharacteristic
697C2C41×#234211yescharacteristic
698C2C41×#234211yescharacteristic
699C2C41×#234411yescharacteristic
700C2C41×#234411yescharacteristic
701C2C41×#241912yes—
702C2C41×#242512yes—
703C2C41×#248812yes—
704C2C41×#249312yes—
subgroupG/H
center, socleC24×C41C24
commutatorC23C23×C4×C41
Frattini, cosocleC24C24×C41
prime radicalC25×C41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C41 ◁ G

Complements

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

NH ≅ G/Ntype
6. C41×#1443C2semidirect
7. C41×#1442C2semidirect
8. C41×#1436C2semidirect
9. C41×#1434C2semidirect
25. C2×#95×C41C4semidirect
296. #13874C41direct (N × H)
346. #1443C2×C41semidirect
347. #1442C2×C41semidirect
348. #1436C2×C41semidirect
349. #1434C2×C41semidirect
377. C2×#95C4×C41semidirect
392. C41#13874direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C41×#3812
C2×C41×#3802
C2×C4×C22⋊C4×C412
C22×#95×C412
C41×#14432
C41×#14422
C41×#14362
C41×#14342
C41×C22⋊#952
#1387441