Finite Group Databasebeta

← C41×#27064 #23803265

Subgroups — C41×#27064 #23803265

Order 10496.

848 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#2511C211yesmaximal, characteristic, complemented
2C41×#2366C211yesmaximal, characteristic
3C41×#2094C211yesmaximal, characteristic, complemented
4C41×#2055C211yesmaximal, characteristic, complemented
5C41×#2041C211yesmaximal, characteristic
6C41×#2014C211yesmaximal, characteristic
7C41×#1968C211yesmaximal, characteristic, complemented
8C41×#1927C211yesmaximal, characteristic, complemented
9C41×#1926C211yesmaximal, characteristic, complemented
10C41×#1920C211yesmaximal, characteristic, complemented
11C41×#1916C211yesmaximal, characteristic, complemented
12C41×#1877C211yesmaximal, characteristic, complemented
13C41×#1877C211yesmaximal, characteristic, complemented
14C41×#1802C211yesmaximal, characteristic, complemented
15C4×#102×C41C211yesmaximal, characteristic, complemented
16C22×SD16×C41C2211yescharacteristic
17C22×SD16×C41C2211yescharacteristic
18C2×#127×C41C2211yescharacteristic
19C2×C4×D4×C41—21no—
20C2×C4×D4×C41C2211yescharacteristic
21C2×C4×D4×C41C2211yescharacteristic
22C2×#106×C41C2211yescharacteristic
23C2×#106×C41C2211yescharacteristic
24C2×C4⋊C8×C41C2211yescharacteristic
25C2×#103×C41C2211yescharacteristic
26C2×#103×C41C2211yescharacteristic
27C2×#102×C41C2211yescharacteristic
28C2×#102×C41C2211yescharacteristic
29C2×#102×C41C2211yescharacteristic
30C2×#102×C41C2211yescharacteristic
31C2×#102×C41C2211yescharacteristic
32C2×#102×C41C2211yescharacteristic
33C2×C4×C8×C41C2211yescharacteristic
34C41×#400—21no—
35C41×#400—21no—
36C41×#391C2211yescharacteristic
37C41×#391C2211yescharacteristic
38C41×#391C2211yescharacteristic
39C41×#390—21no—
40C41×#390C2211yescharacteristic
41C41×#390C2211yescharacteristic
42C41×#389C2211yescharacteristic
43C41×#387—21no—
44C41×#387—21no—
45C41×#386—21no—
46C41×#386—21no—
47C41×#384C2211yescharacteristic
48C4×C4⋊C4×C41C2211yescharacteristic
49C4×C4⋊C4×C41C2211yescharacteristic
50C4×C4⋊C4×C41C2211yescharacteristic
51C41×#340C2211yescharacteristic
52C41×#340C2211yescharacteristic
53C41×#340C2211yescharacteristic
54C41×#340C2211yescharacteristic
55C41×#336C2211yescharacteristic
56C41×#336C2211yescharacteristic
57C41×#336C2211yescharacteristic
58C41×#336C2211yescharacteristic
59C22×Q8×C41C2311yescharacteristic
60C22×D4×C41—21no—
61C22×D4×C41—21no—
62C22×D4×C41C2311yescharacteristic
63C22×D4×C41C2311yescharacteristic
64C23×C4×C41—21no—
65C23×C4×C41—21no—
66C2×SD16×C41—22no—
67C2×SD16×C41—22no—
68C2×SD16×C41—22no—
69C2×SD16×C41—41no—
70C2×SD16×C41—41no—
71C2×SD16×C41—41no—
72C22×C8×C41C2311yescharacteristic
73C22×C8×C41C2311yescharacteristic
74C22×C8×C41C2311yescharacteristic
75C22×C8×C41C2311yescharacteristic
76#127×C41—22no—
77#127×C41—22no—
78C4×D4×C41—22no—
79C4×D4×C41—22no—
80C4×D4×C41—41no—
81C4×D4×C41—41no—
82C4×D4×C41—44no—
83C2×C4⋊C4×C41—21no—
84C2×C4⋊C4×C41—21no—
85C2×C4⋊C4×C41—21no—
86C2×C4⋊C4×C41D411yescharacteristic
87C2×C4⋊C4×C41D411yescharacteristic
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×C42×C41—21no—
100C2×C42×C41—21no—
101C2×C42×C41C2311yescharacteristic
102C2×C42×C41C2311yescharacteristic
103C2×C42×C41C2311yescharacteristic
104#106×C41—22no—
105#106×C41—41no—
106C4⋊C8×C41—41no—
107#103×C41—22no—
108#103×C41—41no—
109#102×C41—22no—
110#102×C41—22no—
111#102×C41—22no—
112#102×C41—41no—
113#102×C41—41no—
114#102×C41—41no—
115C4×C8×C41—41no—
116#95×C41—21no—
117#95×C41—21no—
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×C41D411yescharacteristic
126#95×C41D411yescharacteristic
127C24×C41—21no—
128C24×C41—21no—
129C2×Q8×C41—21no—
130C2×Q8×C41—21no—
131C2×Q8×C41—21no—
132C2×Q8×C41—21no—
133C2×Q8×C41—21no—
134C2×Q8×C41—21no—
135C2×D4×C41—24no—
136C2×D4×C41—24no—
137C2×D4×C41—21no—
138C2×D4×C41—21no—
139C2×D4×C41—21no—
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—21no—
147C2×D4×C41—42no—
148C2×D4×C41—42no—
149C2×D4×C41—81no—
150C2×D4×C41—81no—
151C2×D4×C41#4112yes—
152C2×D4×C41#4112yes—
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—42no—
163C22×C4×C41—81no—
164C22×C4×C41—81no—
165C22×C4×C41C2×D411yescharacteristic
166C22×C4×C41C2×D411yescharacteristic
167C22×C4×C41C2×D411yescharacteristic
168C22×C4×C41C2×D411yescharacteristic
169C22×C4×C41C2×D411yescharacteristic
170C22×C4×C41C2×D411yescharacteristic
171C22×C4×C41C2411yescharacteristic
172SD16×C41—44no—
173SD16×C41—44no—
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—
184C2×C8×C41—21no—
185C2×C8×C41#4112yes—
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—41no—
196C4⋊C4×C41—42no—
197C4⋊C4×C41—81no—
198C4⋊C4×C41—81no—
199C4⋊C4×C41SD1614yescomplemented
200C4⋊C4×C41#4112yes—
201C22⋊C4×C41—42no—
202C22⋊C4×C41—42no—
203C22⋊C4×C41—42no—
204C22⋊C4×C41—42no—
205C22⋊C4×C41—81no—
206C22⋊C4×C41—81no—
207C42×C41—21no—
208C42×C41—21no—
209C42×C41—21no—
210C42×C41—21no—
211C42×C41—21no—
212C42×C41—21no—
213C42×C41—42no—
214C42×C41—81no—
215C23×C41—22no—
216C23×C41—22no—
217C23×C41—41no—
218C23×C41—41no—
219C23×C41—41no—
220C23×C41—41no—
221C23×C41—41no—
222C23×C41—41no—
223C23×C41—41no—
224C23×C41—41no—
225C23×C41—41no—
226C23×C41—41no—
227C23×C41—41no—
228C23×C41—41no—
229C23×C41C22×D411yescharacteristic
230Q8×C41—41no—
231Q8×C41—41no—
232Q8×C41—41no—
233Q8×C41—41no—
234D4×C41—22no—
235D4×C41—22no—
236D4×C41—22no—
237D4×C41—22no—
238D4×C41—48no—
239D4×C41—41no—
240D4×C41—41no—
241D4×C41—41no—
242D4×C41—41no—
243D4×C41—84no—
244C2×C4×C41—21no—
245C2×C4×C41—21no—
246C2×C4×C41—21no—
247C2×C4×C41—21no—
248C2×C4×C41—21no—
249C2×C4×C41—21no—
250C2×C4×C41—21no—
251C2×C4×C41—21no—
252C2×C4×C41—21no—
253C2×C4×C41—22no—
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—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—84no—
278C2×C4×C41—84no—
279C2×C4×C41C2×SD1612yes—
280C2×C4×C41C2×SD1612yes—
281C2×C4×C41C2×SD1612yes—
282C2×C4×C41C2×#4111yescharacteristic
283C2×C4×C41C2×#4111yescharacteristic
284C2×C4×C41C2×#4111yescharacteristic
285C2×C4×C41C2×#4111yescharacteristic
286C2×C4×C41H(5,𝔽2)11yescharacteristic
287C2×C4×C41H(5,𝔽2)11yescharacteristic
288C8×C41—22no—
289C8×C41—41no—
290C8×C41—41no—
291C8×C41—41no—
292#27064C4111yesmaximal, characteristic, direct product factor, Sylow
293C22×C41—42no—
294C22×C41—42no—
295C22×C41—42no—
296C22×C41—42no—
297C22×C41—42no—
298C22×C41—42no—
299C22×C41—81no—
300C22×C41—81no—
301C22×C41—81no—
302C22×C41—81no—
303C22×C41—81no—
304C22×C41—81no—
305C22×C41—81no—
306C22×C41—81no—
307C22×C41#52511yescharacteristic
308C22×C41#54611yescharacteristic
309C22×C41#55011yescharacteristic
310C22×C41C22×SD1611yescharacteristic
311C22×C41#57511yescharacteristic
312C22×C41#57611yescharacteristic
313C22×C41#57711yescharacteristic
314C4×C41—22no—
315C4×C41—22no—
316C4×C41—22no—
317C4×C41—41no—
318C4×C41—42no—
319C4×C41—41no—
320C4×C41—41no—
321C4×C41—81no—
322C4×C41—81no—
323C4×C41—81no—
324C4×C41—81no—
325C4×C41—81no—
326C4×C41#52911yescharacteristic
327C4×C41#53811yescharacteristic
328C4×C41#55111yescharacteristic
329C4×C41#55311yescharacteristic
330#2511C2×C4111yescharacteristic, complemented
331#2366C2×C4111yescharacteristic
332#2094C2×C4111yescharacteristic, complemented
333#2055C2×C4111yescharacteristic, complemented
334#2041C2×C4111yescharacteristic
335#2014C2×C4111yescharacteristic
336#1968C2×C4111yescharacteristic, complemented
337#1927C2×C4111yescharacteristic, complemented
338#1926C2×C4111yescharacteristic, complemented
339#1920C2×C4111yescharacteristic, complemented
340#1916C2×C4111yescharacteristic, complemented
341#1877C2×C4111yescharacteristic, complemented
342#1877C2×C4111yescharacteristic, complemented
343#1802C2×C4111yescharacteristic, complemented
344C4×#102C2×C4111yescharacteristic, complemented
345C2×C41—82no—
346C2×C41—82no—
347C2×C41#246711yescharacteristic
348C2×C41#310111yescharacteristic
349C2×C41#311811yescharacteristic
350C2×C41#329511yescharacteristic
351C2×C41#331711yescharacteristic
352C2×C41#339211yescharacteristic
353C2×C41#340311yescharacteristic
354C22×SD16C22×C4111yescharacteristic
355C22×SD16C22×C4111yescharacteristic
356C2×#127C22×C4111yescharacteristic
357C2×C4×D4—21no—
358C2×C4×D4C22×C4111yescharacteristic
359C2×C4×D4C22×C4111yescharacteristic
360C2×#106C22×C4111yescharacteristic
361C2×#106C22×C4111yescharacteristic
362C2×C4⋊C8C22×C4111yescharacteristic
363C2×#103C22×C4111yescharacteristic
364C2×#103C22×C4111yescharacteristic
365C2×#102C22×C4111yescharacteristic
366C2×#102C22×C4111yescharacteristic
367C2×#102C22×C4111yescharacteristic
368C2×#102C22×C4111yescharacteristic
369C2×#102C22×C4111yescharacteristic
370C2×#102C22×C4111yescharacteristic
371C2×C4×C8C22×C4111yescharacteristic
372#400—21no—
373#400—21no—
374#391C22×C4111yescharacteristic
375#391C22×C4111yescharacteristic
376#391C22×C4111yescharacteristic
377#390—21no—
378#390C22×C4111yescharacteristic
379#390C22×C4111yescharacteristic
380#389C22×C4111yescharacteristic
381#387—21no—
382#387—21no—
383#386—21no—
384#386—21no—
385#384C22×C4111yescharacteristic
386C4×C4⋊C4C22×C4111yescharacteristic
387C4×C4⋊C4C22×C4111yescharacteristic
388C4×C4⋊C4C22×C4111yescharacteristic
389#340C22×C4111yescharacteristic
390#340C22×C4111yescharacteristic
391#340C22×C4111yescharacteristic
392#340C22×C4111yescharacteristic
393#336C22×C4111yescharacteristic
394#336C22×C4111yescharacteristic
395#336C22×C4111yescharacteristic
396#336C22×C4111yescharacteristic
397C41#2706411yescharacteristic, direct product factor, Sylow
398C22×Q8C23×C4111yescharacteristic
399C22×D4—21no—
400C22×D4—21no—
401C22×D4C23×C4111yescharacteristic
402C22×D4C23×C4111yescharacteristic
403C23×C4—21no—
404C23×C4—21no—
405C2×SD16—22no—
406C2×SD16—22no—
407C2×SD16—22no—
408C2×SD16—41no—
409C2×SD16—41no—
410C2×SD16—41no—
411C22×C8C23×C4111yescharacteristic
412C22×C8C23×C4111yescharacteristic
413C22×C8C23×C4111yescharacteristic
414C22×C8C23×C4111yescharacteristic
415#127—22no—
416#127—22no—
417C4×D4—22no—
418C4×D4—22no—
419C4×D4—41no—
420C4×D4—41no—
421C4×D4—44no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4D4×C4111yescharacteristic
426C2×C4⋊C4D4×C4111yescharacteristic
427C2×C4⋊C4C23×C4111yescharacteristic
428C2×C4⋊C4C23×C4111yescharacteristic
429C2×C4⋊C4C23×C4111yescharacteristic
430C2×C4⋊C4C23×C4111yescharacteristic
431C2×C4⋊C4C23×C4111yescharacteristic
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×C42—21no—
439C2×C42—21no—
440C2×C42C23×C4111yescharacteristic
441C2×C42C23×C4111yescharacteristic
442C2×C42C23×C4111yescharacteristic
443#106—22no—
444#106—41no—
445C4⋊C8—41no—
446#103—22no—
447#103—41no—
448#102—22no—
449#102—22no—
450#102—22no—
451#102—41no—
452#102—41no—
453#102—41no—
454C4×C8—41no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95D4×C4111yescharacteristic
465#95D4×C4111yescharacteristic
466C24—21no—
467C24—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×D4—24no—
475C2×D4—24no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—81no—
489C2×D4—81no—
490C2×D4#41×C4112yes—
491C2×D4#41×C4112yes—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—42no—
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×C4C2×D4×C4111yescharacteristic
510C22×C4C24×C4111yescharacteristic
511SD16—44no—
512SD16—44no—
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—
524C2×C8#41×C4112yes—
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—41no—
535C4⋊C4—42no—
536C4⋊C4—81no—
537C4⋊C4—81no—
538C4⋊C4SD16×C4114yescomplemented
539C4⋊C4#41×C4112yes—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—81no—
545C22⋊C4—81no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—42no—
553C42—81no—
554C23—22no—
555C23—22no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23C22×D4×C4111yescharacteristic
569Q8—41no—
570Q8—41no—
571Q8—41no—
572Q8—41no—
573D4—22no—
574D4—22no—
575D4—22no—
576D4—22no—
577D4—48no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—84no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
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—84no—
617C2×C4—84no—
618C2×C4C2×SD16×C4112yes—
619C2×C4C2×SD16×C4112yes—
620C2×C4C2×SD16×C4112yes—
621C2×C4C2×#41×C4111yescharacteristic
622C2×C4C2×#41×C4111yescharacteristic
623C2×C4C2×#41×C4111yescharacteristic
624C2×C4C2×#41×C4111yescharacteristic
625C2×C4H(5,𝔽2)×C4111yescharacteristic
626C2×C4H(5,𝔽2)×C4111yescharacteristic
627C8—22no—
628C8—41no—
629C8—41no—
630C8—41no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22C41×#52511yescharacteristic
646C22C41×#54611yescharacteristic
647C22C41×#55011yescharacteristic
648C22C22×SD16×C4111yescharacteristic
649C22C41×#57511yescharacteristic
650C22C41×#57611yescharacteristic
651C22C41×#57711yescharacteristic
652C4—22no—
653C4—22no—
654C4—22no—
655C4—42no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4C41×#52911yescharacteristic
665C4C41×#53811yescharacteristic
666C4C41×#55111yescharacteristic
667C4C41×#55311yescharacteristic
668C2—82no—
669C2—82no—
670C2C41×#246711yescharacteristic
671C2C41×#310111yescharacteristic
672C2C41×#311811yescharacteristic
673C2C41×#329511yescharacteristic
674C2C41×#331711yescharacteristic
675C2C41×#339211yescharacteristic
676C2C41×#340311yescharacteristic
subgroupG/H
center, socleC23×C41C22×D4
commutator, Frattini, cosocleC22×C4C24×C41
prime radicalC2×#127×C41C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C41 ◁ C4×C4⋊C4×C41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C41×#2511C2semidirect
3. C41×#2094C2semidirect
4. C41×#2055C2semidirect
7. C41×#1968C2semidirect
8. C41×#1927C2semidirect
9. C41×#1926C2semidirect
10. C41×#1920C2semidirect
11. C41×#1916C2semidirect
12. C41×#1877C2semidirect
13. C41×#1877C2semidirect
14. C41×#1802C2semidirect
15. C4×#102×C41C2semidirect
199. C4⋊C4×C41SD16semidirect
292. #27064C41direct (N × H)
330. #2511C2×C41semidirect
332. #2094C2×C41semidirect
333. #2055C2×C41semidirect
336. #1968C2×C41semidirect
337. #1927C2×C41semidirect
338. #1926C2×C41semidirect
339. #1920C2×C41semidirect
340. #1916C2×C41semidirect
341. #1877C2×C41semidirect
342. #1877C2×C41semidirect
343. #1802C2×C41semidirect
344. C4×#102C2×C41semidirect
397. C41#27064direct (N × H)
538. C4⋊C4SD16×C41semidirect

Maximal subgroups

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

subgroupindex
C41×#25112
C41×#23662
C41×#20942
C41×#20552
C41×#20412
C41×#20142
C41×#19682
C41×#19272
C41×#19262
C41×#19202
C41×#19162
C41×#18772
C41×#18022
C4×#102×C412
#2706441