Finite Group Databasebeta

← C41×#22585 #23798786

Subgroups — C41×#22585 #23798786

Order 10496.

934 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C41×#419C211yesmaximal, characteristic
2C41×#2346C211yesmaximal, characteristic
3Q8×C22⋊C4×C41C211yesmaximal, characteristic
4C41×#1935C211yesmaximal, characteristic, complemented
5C41×#1933C211yesmaximal, characteristic, complemented
6C41×#1928C211yesmaximal, characteristic, complemented
7C41×#1927C211yesmaximal, characteristic, complemented
8C41×#1865C211yesmaximal, characteristic, complemented
9C41×#1863C211yesmaximal, characteristic, complemented
10C41×#1825C211yesmaximal, characteristic
11C41×#1809C211yesmaximal, characteristic
12C41×#1787C211yesmaximal, characteristic
13C41×#1763C211yesmaximal, characteristic, complemented
14C4×#103×C41C211yesmaximal, characteristic, complemented
15C41×#1753C211yesmaximal, characteristic
16C23×Q8×C41C2211yescharacteristic
17C22×M16×C41C2211yescharacteristic
18C2×C4×Q8×C41C2211yescharacteristic
19C2×C4×Q8×C41C2211yescharacteristic
20C2×#117×C41C2211yescharacteristic
21C2×#107×C41C2211yescharacteristic
22C2×#106×C41C2211yescharacteristic
23C41×#419C418yescomplemented
24C2×#103×C41C2211yescharacteristic
25C2×#103×C41C2211yescharacteristic
26C2×#103×C41C2211yescharacteristic
27C2×#103×C41C2211yescharacteristic
28C2×#103×C41C2211yescharacteristic
29C2×#103×C41C2211yescharacteristic
30C2×#103×C41C2211yescharacteristic
31C2×#103×C41C2211yescharacteristic
32C2×C22⋊C8×C41C2211yescharacteristic
33C2×#97×C41C2211yescharacteristic
34C2×C4×C8×C41C2211yescharacteristic
35C41×#391—21no—
36C41×#391—21no—
37C41×#391C2211yescharacteristic
38C41×#391C2211yescharacteristic
39C41×#389C2211yescharacteristic
40C41×#389C2211yescharacteristic
41C41×#388—21no—
42C41×#388—21no—
43C41×#382—21no—
44C41×#380—21no—
45C41×#380C2211yescharacteristic
46C41×#380C2211yescharacteristic
47C4×C4⋊C4×C41C2211yescharacteristic
48C4×C4⋊C4×C41C2211yescharacteristic
49C4×C22⋊C4×C41—21no—
50C4×C22⋊C4×C41C2211yescharacteristic
51C41×#376—21no—
52C41×#340C2211yescharacteristic
53C41×#340C2211yescharacteristic
54C41×#340C2211yescharacteristic
55C41×#340C2211yescharacteristic
56C41×#340C2211yescharacteristic
57C41×#340C2211yescharacteristic
58C41×#336C2211yescharacteristic
59C41×#336C2211yescharacteristic
60C22×Q8×C41—21no—
61C22×Q8×C41—22no—
62C22×Q8×C41—22no—
63C22×Q8×C41—22no—
64C22×Q8×C41—41no—
65C22×Q8×C41—41no—
66C22×Q8×C41C2×C414yes—
67C22×Q8×C41C2311yescharacteristic
68C22×Q8×C41C2311yescharacteristic
69C23×C4×C41—21no—
70C23×C4×C41C2311yescharacteristic
71C2×M16×C41—41no—
72C2×M16×C41—41no—
73C2×M16×C41C2×C414yes—
74C22×C8×C41C2311yescharacteristic
75C22×C8×C41C2311yescharacteristic
76C22×C8×C41C2311yescharacteristic
77C22×C8×C41C2311yescharacteristic
78C4×Q8×C41—22no—
79C4×Q8×C41—22no—
80C4×Q8×C41—41no—
81C4×Q8×C41—41no—
82#117×C41—22no—
83#117×C41C2×C414yes—
84C2×C4⋊C4×C41—21no—
85C2×C4⋊C4×C41—21no—
86C2×C4⋊C4×C41—21no—
87C2×C4⋊C4×C41—21no—
88C2×C4⋊C4×C41C2311yescharacteristic
89C2×C4⋊C4×C41C2311yescharacteristic
90C2×C4⋊C4×C41C2311yescharacteristic
91C2×C4⋊C4×C41C2311yescharacteristic
92C2×C4⋊C4×C41C2311yescharacteristic
93C2×C4⋊C4×C41C2311yescharacteristic
94C2×C22⋊C4×C41—21no—
95C2×C22⋊C4×C41—21no—
96C2×C22⋊C4×C41—21no—
97C2×C22⋊C4×C41D411yescharacteristic
98C2×C22⋊C4×C41D411yescharacteristic
99C2×C42×C41—21no—
100C2×C42×C41—21no—
101C2×C42×C41—21no—
102C2×C42×C41—21no—
103C2×C42×C41—21no—
104C2×C42×C41C2311yescharacteristic
105C2×C42×C41C2311yescharacteristic
106#107×C41—41no—
107#106×C41—41no—
108#103×C41—22no—
109#103×C41—22no—
110#103×C41—41no—
111#103×C41—41no—
112#103×C41C2×C414yes—
113#103×C41C2×C414yes—
114#103×C41C2×C414yes—
115#103×C41C2×C414yes—
116C22⋊C8×C41—22no—
117#97×C41—41no—
118C4×C8×C41—41no—
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—
126#95×C41—21no—
127#95×C41—21no—
128#95×C41—21no—
129#95×C41D411yescharacteristic
130#95×C41D411yescharacteristic
131C24×C41C2×D411yescharacteristic
132C2×Q8×C41—24no—
133C2×Q8×C41—21no—
134C2×Q8×C41—21no—
135C2×Q8×C41—21no—
136C2×Q8×C41—21no—
137C2×Q8×C41—28no—
138C2×Q8×C41—21no—
139C2×Q8×C41—21no—
140C2×Q8×C41—21no—
141C2×Q8×C41—21no—
142C2×Q8×C41—42no—
143C2×Q8×C41—42no—
144C2×Q8×C41—44no—
145C2×Q8×C41—44no—
146C2×Q8×C41—44no—
147C2×Q8×C41C22×C412yes—
148C2×Q8×C41C22×C412yes—
149C2×Q8×C41#4112yes—
150C2×Q8×C41#4112yes—
151C22×C4×C41—21no—
152C22×C4×C41—21no—
153C22×C4×C41—21no—
154C22×C4×C41—21no—
155C22×C4×C41—21no—
156C22×C4×C41—24no—
157C22×C4×C41—21no—
158C22×C4×C41—21no—
159C22×C4×C41—21no—
160C22×C4×C41—21no—
161C22×C4×C41—21no—
162C22×C4×C41—21no—
163C22×C4×C41—21no—
164C22×C4×C41—42no—
165C22×C4×C41—42no—
166C22×C4×C41C22×C412yes—
167C22×C4×C41C2×D411yescharacteristic
168C22×C4×C41C2×D411yescharacteristic
169C22×C4×C41C2×D411yescharacteristic
170C22×C4×C41C2×D411yescharacteristic
171C22×C4×C41C2×D411yescharacteristic
172C22×C4×C41#4112yes—
173C22×C4×C41C2411yescharacteristic
174M16×C41—44no—
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×C41C22×C412yes—
186C2×C8×C41C22×C412yes—
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—21no—
197C4⋊C4×C41—42no—
198C4⋊C4×C41—42no—
199C4⋊C4×C41—81no—
200C4⋊C4×C41—81no—
201C4⋊C4×C41C22×C412yes—
202C4⋊C4×C41C22×C412yes—
203C22⋊C4×C41—24no—
204C22⋊C4×C41—22no—
205C22⋊C4×C41—41no—
206C22⋊C4×C41—42no—
207C22⋊C4×C41—81no—
208C42×C41—24no—
209C42×C41—21no—
210C42×C41—21no—
211C42×C41—21no—
212C42×C41—21no—
213C42×C41—42no—
214C42×C41—42no—
215C42×C41—42no—
216C42×C41—42no—
217C23×C41—21no—
218C23×C41—21no—
219C23×C41—21no—
220C23×C41—21no—
221C23×C41—21no—
222C23×C41—21no—
223C23×C41C4×D412yes—
224C23×C41C22×D411yescharacteristic
225Q8×C41—22no—
226Q8×C41—22no—
227Q8×C41—22no—
228Q8×C41—22no—
229Q8×C41—22no—
230Q8×C41—48no—
231Q8×C41—41no—
232Q8×C41—41no—
233Q8×C41#11714yes—
234C2×C4×C41—22no—
235C2×C4×C41—21no—
236C2×C4×C41—22no—
237C2×C4×C41—22no—
238C2×C4×C41—21no—
239C2×C4×C41—21no—
240C2×C4×C41—21no—
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—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—48no—
258C2×C4×C41—41no—
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×C41C4×D412yes—
277C2×C4×C41#13712yes—
278C2×C4×C41C23×C411yescharacteristic
279C2×C4×C41C2×#4111yescharacteristic
280C2×C4×C41C2×#4111yescharacteristic
281C2×C4×C41C2×#4111yescharacteristic
282C2×C4×C41H(5,𝔽2)11yescharacteristic
283C2×C4×C41H(5,𝔽2)11yescharacteristic
284C8×C41—22no—
285C8×C41—22no—
286C8×C41—41no—
287C8×C41—41no—
288#22585C4111yesmaximal, characteristic, direct product factor, Sylow
289C22×C41—22no—
290C22×C41—22no—
291C22×C41—22no—
292C22×C41—41no—
293C22×C41—41no—
294C22×C41—41no—
295C22×C41—41no—
296C22×C41C2×C4×D411yescharacteristic
297C22×C41#54611yescharacteristic
298C22×C41#54611yescharacteristic
299C22×C41C2×#13711yescharacteristic
300C22×C41#57511yescharacteristic
301C22×C41#57711yescharacteristic
302C22×C41#57811yescharacteristic
303C4×C41—22no—
304C4×C41—24no—
305C4×C41—22no—
306C4×C41—41no—
307C4×C41—42no—
308C4×C41—42no—
309C4×C41—42no—
310C4×C41—41no—
311C4×C41—41no—
312C4×C41—81no—
313C4×C41—81no—
314C4×C41—81no—
315C4×C41—81no—
316C4×C41C2×#11711yescharacteristic
317C4×C41#51811yescharacteristic
318C4×C41#55111yescharacteristic
319C4×C41#55111yescharacteristic
320C2×#419C2×C4111yescharacteristic
321#2346C2×C4111yescharacteristic
322Q8×C22⋊C4C2×C4111yescharacteristic
323#1935C2×C4111yescharacteristic, complemented
324#1933C2×C4111yescharacteristic, complemented
325#1928C2×C4111yescharacteristic, complemented
326#1927C2×C4111yescharacteristic, complemented
327#1865C2×C4111yescharacteristic, complemented
328#1863C2×C4111yescharacteristic, complemented
329#1825C2×C4111yescharacteristic
330#1809C2×C4111yescharacteristic
331#1787C2×C4111yescharacteristic
332#1763C2×C4111yescharacteristic, complemented
333C4×#103C2×C4111yescharacteristic, complemented
334#1753C2×C4111yescharacteristic
335C2×C41—42no—
336C2×C41#234211yescharacteristic
337C2×C41C4×#13711yescharacteristic
338C2×C41#294711yescharacteristic
339C2×C41#331211yescharacteristic
340C2×C41#332111yescharacteristic
341C2×C41#332711yescharacteristic
342C2×C41#332911yescharacteristic
343C23×Q8C22×C4111yescharacteristic
344C22×M16C22×C4111yescharacteristic
345C2×C4×Q8C22×C4111yescharacteristic
346C2×C4×Q8C22×C4111yescharacteristic
347C2×#117C22×C4111yescharacteristic
348C2×#107C22×C4111yescharacteristic
349C2×#106C22×C4111yescharacteristic
350#419C4×C4118yescomplemented
351C2×#103C22×C4111yescharacteristic
352C2×#103C22×C4111yescharacteristic
353C2×#103C22×C4111yescharacteristic
354C2×#103C22×C4111yescharacteristic
355C2×#103C22×C4111yescharacteristic
356C2×#103C22×C4111yescharacteristic
357C2×#103C22×C4111yescharacteristic
358C2×#103C22×C4111yescharacteristic
359C2×C22⋊C8C22×C4111yescharacteristic
360C2×#97C22×C4111yescharacteristic
361C2×C4×C8C22×C4111yescharacteristic
362#391—21no—
363#391—21no—
364#391C22×C4111yescharacteristic
365#391C22×C4111yescharacteristic
366#389C22×C4111yescharacteristic
367#389C22×C4111yescharacteristic
368#388—21no—
369#388—21no—
370#382—21no—
371#380—21no—
372#380C22×C4111yescharacteristic
373#380C22×C4111yescharacteristic
374C4×C4⋊C4C22×C4111yescharacteristic
375C4×C4⋊C4C22×C4111yescharacteristic
376C4×C22⋊C4—21no—
377C4×C22⋊C4C22×C4111yescharacteristic
378#376—21no—
379#340C22×C4111yescharacteristic
380#340C22×C4111yescharacteristic
381#340C22×C4111yescharacteristic
382#340C22×C4111yescharacteristic
383#340C22×C4111yescharacteristic
384#340C22×C4111yescharacteristic
385#336C22×C4111yescharacteristic
386#336C22×C4111yescharacteristic
387C41#2258511yescharacteristic, direct product factor, Sylow
388C22×Q8—21no—
389C22×Q8—22no—
390C22×Q8—22no—
391C22×Q8—22no—
392C22×Q8—41no—
393C22×Q8—41no—
394C22×Q8C2×C4×C4114yes—
395C22×Q8C23×C4111yescharacteristic
396C22×Q8C23×C4111yescharacteristic
397C23×C4—21no—
398C23×C4C23×C4111yescharacteristic
399C2×M16—41no—
400C2×M16—41no—
401C2×M16C2×C4×C4114yes—
402C22×C8C23×C4111yescharacteristic
403C22×C8C23×C4111yescharacteristic
404C22×C8C23×C4111yescharacteristic
405C22×C8C23×C4111yescharacteristic
406C4×Q8—22no—
407C4×Q8—22no—
408C4×Q8—41no—
409C4×Q8—41no—
410#117—22no—
411#117C2×C4×C4114yes—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4C23×C4111yescharacteristic
417C2×C4⋊C4C23×C4111yescharacteristic
418C2×C4⋊C4C23×C4111yescharacteristic
419C2×C4⋊C4C23×C4111yescharacteristic
420C2×C4⋊C4C23×C4111yescharacteristic
421C2×C4⋊C4C23×C4111yescharacteristic
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4D4×C4111yescharacteristic
426C2×C22⋊C4D4×C4111yescharacteristic
427C2×C42—21no—
428C2×C42—21no—
429C2×C42—21no—
430C2×C42—21no—
431C2×C42—21no—
432C2×C42C23×C4111yescharacteristic
433C2×C42C23×C4111yescharacteristic
434#107—41no—
435#106—41no—
436#103—22no—
437#103—22no—
438#103—41no—
439#103—41no—
440#103C2×C4×C4114yes—
441#103C2×C4×C4114yes—
442#103C2×C4×C4114yes—
443#103C2×C4×C4114yes—
444C22⋊C8—22no—
445#97—41no—
446C4×C8—41no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95D4×C4111yescharacteristic
458#95D4×C4111yescharacteristic
459C24C2×D4×C4111yescharacteristic
460C2×Q8—24no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—28no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8—44no—
473C2×Q8—44no—
474C2×Q8—44no—
475C2×Q8C22×C4×C4112yes—
476C2×Q8C22×C4×C4112yes—
477C2×Q8#41×C4112yes—
478C2×Q8#41×C4112yes—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—24no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4C22×C4×C4112yes—
495C22×C4C2×D4×C4111yescharacteristic
496C22×C4C2×D4×C4111yescharacteristic
497C22×C4C2×D4×C4111yescharacteristic
498C22×C4C2×D4×C4111yescharacteristic
499C22×C4C2×D4×C4111yescharacteristic
500C22×C4#41×C4112yes—
501C22×C4C24×C4111yescharacteristic
502M16—44no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8C22×C4×C4112yes—
514C2×C8C22×C4×C4112yes—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4—81no—
528C4⋊C4—81no—
529C4⋊C4C22×C4×C4112yes—
530C4⋊C4C22×C4×C4112yes—
531C22⋊C4—24no—
532C22⋊C4—22no—
533C22⋊C4—41no—
534C22⋊C4—42no—
535C22⋊C4—81no—
536C42—24no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—21no—
541C42—42no—
542C42—42no—
543C42—42no—
544C42—42no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23C4×D4×C4112yes—
552C23C22×D4×C4111yescharacteristic
553Q8—22no—
554Q8—22no—
555Q8—22no—
556Q8—22no—
557Q8—22no—
558Q8—48no—
559Q8—41no—
560Q8—41no—
561Q8#117×C4114yes—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—48no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
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×C4C4×D4×C4112yes—
605C2×C4#137×C4112yes—
606C2×C4C23×C4×C4111yescharacteristic
607C2×C4C2×#41×C4111yescharacteristic
608C2×C4C2×#41×C4111yescharacteristic
609C2×C4C2×#41×C4111yescharacteristic
610C2×C4H(5,𝔽2)×C4111yescharacteristic
611C2×C4H(5,𝔽2)×C4111yescharacteristic
612C8—22no—
613C8—22no—
614C8—41no—
615C8—41no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22C2×C4×D4×C4111yescharacteristic
624C22C41×#54611yescharacteristic
625C22C41×#54611yescharacteristic
626C22C2×#137×C4111yescharacteristic
627C22C41×#57511yescharacteristic
628C22C41×#57711yescharacteristic
629C22C41×#57811yescharacteristic
630C4—22no—
631C4—22no—
632C4—24no—
633C4—41no—
634C4—41no—
635C4—41no—
636C4—42no—
637C4—42no—
638C4—42no—
639C4—81no—
640C4—81no—
641C4—81no—
642C4—81no—
643C4C2×#117×C4111yescharacteristic
644C4C41×#51811yescharacteristic
645C4C41×#55111yescharacteristic
646C4C41×#55111yescharacteristic
647C2—42no—
648C2C41×#234211yescharacteristic
649C2C4×#137×C4111yescharacteristic
650C2C41×#294711yescharacteristic
651C2C41×#331211yescharacteristic
652C2C41×#332111yescharacteristic
653C2C41×#332711yescharacteristic
654C2C41×#332911yescharacteristic
subgroupG/H
center, socleC23×C41C22×D4
commutatorC2×C4C23×C4×C41
Frattini, cosocleC22×C4C24×C41
prime radicalC24×C41C2×D4
LCSG ▷ C2×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
4. C41×#1935C2semidirect
5. C41×#1933C2semidirect
6. C41×#1928C2semidirect
7. C41×#1927C2semidirect
8. C41×#1865C2semidirect
9. C41×#1863C2semidirect
13. C41×#1763C2semidirect
14. C4×#103×C41C2semidirect
23. C41×#419C4semidirect
288. #22585C41direct (N × H)
323. #1935C2×C41semidirect
324. #1933C2×C41semidirect
325. #1928C2×C41semidirect
326. #1927C2×C41semidirect
327. #1865C2×C41semidirect
328. #1863C2×C41semidirect
332. #1763C2×C41semidirect
333. C4×#103C2×C41semidirect
350. #419C4×C41semidirect
387. C41#22585direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C41×#4192
C41×#23462
Q8×C22⋊C4×C412
C41×#19352
C41×#19332
C41×#19282
C41×#19272
C41×#18652
C41×#18632
C41×#18252
C41×#18092
C41×#17872
C41×#17632
C4×#103×C412
C41×#17532
#2258541