Finite Group Databasebeta

← C41×#23231 #23799432

Subgroups — C41×#23231 #23799432

Order 10496.

906 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C41×#490C211yesmaximal, characteristic
2C41×#2370C211yesmaximal, characteristic, complemented
3C41×#2366C211yesmaximal, characteristic
4C41×#1989C211yesmaximal, characteristic, complemented
5C41×#1982C211yesmaximal, characteristic
6C41×#1936C211yesmaximal, characteristic, complemented
7C41×#1934C211yesmaximal, characteristic, complemented
8C41×#1925C211yesmaximal, characteristic, complemented
9C41×#1925C211yesmaximal, characteristic, complemented
10C41×#1864C211yesmaximal, characteristic, complemented
11C41×#1864C211yesmaximal, characteristic, complemented
12C41×#1776C211yesmaximal, characteristic, complemented
13C41×#1771C211yesmaximal, characteristic, complemented
14C41×#1762C211yesmaximal, characteristic, complemented
15C4×#102×C41C211yesmaximal, characteristic, complemented
16C2×#127×C41C2211yescharacteristic
17C2×#125×C41C2211yescharacteristic
18C2×C4×D4×C41—21no—
19C2×C4×D4×C41C2211yescharacteristic
20C2×C4×D4×C41C2211yescharacteristic
21C41×#490C418yescomplemented
22C2×#107×C41C2211yescharacteristic
23C2×#106×C41C2211yescharacteristic
24C2×C4⋊C8×C41C2211yescharacteristic
25C2×#102×C41C2211yescharacteristic
26C2×#102×C41C2211yescharacteristic
27C2×#102×C41C2211yescharacteristic
28C2×#102×C41C2211yescharacteristic
29C2×#102×C41C2211yescharacteristic
30C2×#102×C41C2211yescharacteristic
31C2×#102×C41C2211yescharacteristic
32C2×#102×C41C2211yescharacteristic
33C2×#97×C41C2211yescharacteristic
34C2×#97×C41C2211yescharacteristic
35C2×C4×C8×C41C2211yescharacteristic
36C41×#390—21no—
37C41×#390C2211yescharacteristic
38C41×#390C2211yescharacteristic
39C41×#389—21no—
40C41×#389C2211yescharacteristic
41C41×#389C2211yescharacteristic
42C41×#387—21no—
43C41×#387—21no—
44C41×#386—21no—
45C41×#386—21no—
46C4×C4⋊C4×C41—21no—
47C4×C4⋊C4×C41C2211yescharacteristic
48C4×C4⋊C4×C41C2211yescharacteristic
49C4×C4⋊C4×C41C2211yescharacteristic
50C4×C4⋊C4×C41C2211yescharacteristic
51C4×C4⋊C4×C41C2211yescharacteristic
52C41×#340C2211yescharacteristic
53C41×#340C2211yescharacteristic
54C41×#340C2211yescharacteristic
55C41×#340C2211yescharacteristic
56C41×#340C2211yescharacteristic
57C41×#340C2211yescharacteristic
58C41×#336C2211yescharacteristic
59C41×#336C2211yescharacteristic
60C22×D4×C41—21no—
61C22×D4×C41—21no—
62C22×D4×C41C2311yescharacteristic
63C22×D4×C41C2311yescharacteristic
64C23×C4×C41—21no—
65C23×C4×C41—21no—
66C22×C8×C41C2311yescharacteristic
67C22×C8×C41C2311yescharacteristic
68C22×C8×C41C2311yescharacteristic
69C22×C8×C41C2311yescharacteristic
70#127×C41—22no—
71#127×C41C2×C414yes—
72#125×C41—22no—
73#125×C41C2×C414yescomplemented
74C4×D4×C41—22no—
75C4×D4×C41—22no—
76C4×D4×C41—41no—
77C4×D4×C41—41no—
78C4×D4×C41—44no—
79C2×C4⋊C4×C41—21no—
80C2×C4⋊C4×C41—21no—
81C2×C4⋊C4×C41—21no—
82C2×C4⋊C4×C41—21no—
83C2×C4⋊C4×C41D411yescharacteristic
84C2×C4⋊C4×C41D411yescharacteristic
85C2×C4⋊C4×C41C2311yescharacteristic
86C2×C4⋊C4×C41C2311yescharacteristic
87C2×C4⋊C4×C41C2311yescharacteristic
88C2×C4⋊C4×C41C2311yescharacteristic
89C2×C4⋊C4×C41C2311yescharacteristic
90C2×C4⋊C4×C41C2311yescharacteristic
91C2×C22⋊C4×C41—21no—
92C2×C22⋊C4×C41—21no—
93C2×C22⋊C4×C41—21no—
94C2×C22⋊C4×C41—21no—
95C2×C22⋊C4×C41—21no—
96C2×C22⋊C4×C41—21no—
97C2×C42×C41—21no—
98C2×C42×C41—21no—
99C2×C42×C41—21no—
100C2×C42×C41—21no—
101C2×C42×C41C2311yescharacteristic
102C2×C42×C41C2311yescharacteristic
103C2×C42×C41C2311yescharacteristic
104#107×C41—22no—
105#106×C41—22no—
106C4⋊C8×C41—22no—
107#102×C41—22no—
108#102×C41—22no—
109#102×C41—41no—
110#102×C41—41no—
111#102×C41C2×C414yescomplemented
112#102×C41C2×C414yescomplemented
113#102×C41C2×C414yescomplemented
114#102×C41C2×C414yescomplemented
115#97×C41—41no—
116#97×C41C2×C414yescomplemented
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×C41D411yescharacteristic
125#95×C41D411yescharacteristic
126C24×C41—21no—
127C24×C41—21no—
128C2×D4×C41—24no—
129C2×D4×C41—24no—
130C2×D4×C41—21no—
131C2×D4×C41—21no—
132C2×D4×C41—21no—
133C2×D4×C41—21no—
134C2×D4×C41—21no—
135C2×D4×C41—21no—
136C2×D4×C41—21no—
137C2×D4×C41—21no—
138C2×D4×C41—21no—
139C2×D4×C41—21no—
140C2×D4×C41—42no—
141C2×D4×C41—42no—
142C2×D4×C41—81no—
143C2×D4×C41—81no—
144C2×D4×C41C22×C412yes—
145C2×D4×C41C22×C412yes—
146C22×C4×C41—21no—
147C22×C4×C41—21no—
148C22×C4×C41—21no—
149C22×C4×C41—21no—
150C22×C4×C41—21no—
151C22×C4×C41—21no—
152C22×C4×C41—42no—
153C22×C4×C41—42no—
154C22×C4×C41—42no—
155C22×C4×C41—42no—
156C22×C4×C41—81no—
157C22×C4×C41—81no—
158C22×C4×C41C2×D411yescharacteristic
159C22×C4×C41C2×D411yescharacteristic
160C22×C4×C41C2×D411yescharacteristic
161C22×C4×C41C2×D411yescharacteristic
162C22×C4×C41C2×D411yescharacteristic
163C22×C4×C41C2×D411yescharacteristic
164C22×C4×C41C2411yescharacteristic
165C2×C8×C41—21no—
166C2×C8×C41—21no—
167C2×C8×C41—21no—
168C2×C8×C41—21no—
169C2×C8×C41—21no—
170C2×C8×C41—21no—
171C2×C8×C41—21no—
172C2×C8×C41—21no—
173C2×C8×C41—21no—
174C2×C8×C41—21no—
175C2×C8×C41C22×C412yes—
176C2×C8×C41C22×C412yes—
177C4⋊C4×C41—24no—
178C4⋊C4×C41—24no—
179C4⋊C4×C41—22no—
180C4⋊C4×C41—21no—
181C4⋊C4×C41—21no—
182C4⋊C4×C41—21no—
183C4⋊C4×C41—21no—
184C4⋊C4×C41—21no—
185C4⋊C4×C41—21no—
186C4⋊C4×C41—21no—
187C4⋊C4×C41—21no—
188C4⋊C4×C41—41no—
189C4⋊C4×C41—42no—
190C4⋊C4×C41—81no—
191C4⋊C4×C41C22×C412yes—
192C4⋊C4×C41C22×C412yes—
193C4⋊C4×C41#4112yes—
194C4⋊C4×C41#4112yes—
195C22⋊C4×C41—42no—
196C22⋊C4×C41—42no—
197C22⋊C4×C41—42no—
198C22⋊C4×C41—42no—
199C22⋊C4×C41—81no—
200C22⋊C4×C41—81no—
201C42×C41—21no—
202C42×C41—21no—
203C42×C41—21no—
204C42×C41—21no—
205C42×C41—42no—
206C42×C41—42no—
207C42×C41—81no—
208C42×C41—81no—
209C42×C41C22×C412yes—
210C42×C41#4112yes—
211C23×C41—22no—
212C23×C41—22no—
213C23×C41—41no—
214C23×C41—41no—
215C23×C41—41no—
216C23×C41—41no—
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×C41C22×D411yescharacteristic
226D4×C41—22no—
227D4×C41—22no—
228D4×C41—22no—
229D4×C41—22no—
230D4×C41—48no—
231D4×C41—41no—
232D4×C41—41no—
233D4×C41—41no—
234D4×C41—41no—
235D4×C41—84no—
236C2×C4×C41—21no—
237C2×C4×C41—21no—
238C2×C4×C41—21no—
239C2×C4×C41—21no—
240C2×C4×C41—21no—
241C2×C4×C41—21no—
242C2×C4×C41—22no—
243C2×C4×C41—22no—
244C2×C4×C41—21no—
245C2×C4×C41—21no—
246C2×C4×C41—21no—
247C2×C4×C41—22no—
248C2×C4×C41—22no—
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—41no—
256C2×C4×C41—41no—
257C2×C4×C41—41no—
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—84no—
270C2×C4×C41—84no—
271C2×C4×C41C4×D412yes—
272C2×C4×C41C4×D412yes—
273C2×C4×C41AGL(1,ℤ/8)12yes—
274C2×C4×C41C23×C411yescharacteristic
275C2×C4×C41C2×#4111yescharacteristic
276C2×C4×C41C2×#4111yescharacteristic
277C2×C4×C41C2×#4111yescharacteristic
278C2×C4×C41H(5,𝔽2)11yescharacteristic
279C2×C4×C412−1+411yescharacteristic
280C8×C41—22no—
281C8×C41—22no—
282C8×C41—41no—
283C8×C41—41no—
284#23231C4111yesmaximal, characteristic, direct product factor, Sylow
285C22×C41—42no—
286C22×C41—42no—
287C22×C41—42no—
288C22×C41—42no—
289C22×C41—42no—
290C22×C41—42no—
291C22×C41—81no—
292C22×C41—81no—
293C22×C41—81no—
294C22×C41—81no—
295C22×C41—81no—
296C22×C41—81no—
297C22×C41—81no—
298C22×C41—81no—
299C22×C41C2×C4×D411yescharacteristic
300C22×C41#54611yescharacteristic
301C22×C41#54811yescharacteristic
302C22×C41C2×AGL(1,ℤ/8)11yescharacteristic
303C22×C41#57511yescharacteristic
304C22×C41#57611yescharacteristic
305C22×C41#57711yescharacteristic
306C4×C41—22no—
307C4×C41—22no—
308C4×C41—22no—
309C4×C41—42no—
310C4×C41—42no—
311C4×C41—42no—
312C4×C41—41no—
313C4×C41—41no—
314C4×C41—41no—
315C4×C41—42no—
316C4×C41—81no—
317C4×C41—81no—
318C4×C41C4×#4111yescharacteristic
319C4×C41#52011yescharacteristic
320C4×C41#55611yescharacteristic
321C4×C41#55911yescharacteristic
322C2×#490C2×C4111yescharacteristic
323#2370C2×C4111yescharacteristic, complemented
324#2366C2×C4111yescharacteristic
325#1989C2×C4111yescharacteristic, complemented
326#1982C2×C4111yescharacteristic
327#1936C2×C4111yescharacteristic, complemented
328#1934C2×C4111yescharacteristic, complemented
329#1925C2×C4111yescharacteristic, complemented
330#1925C2×C4111yescharacteristic, complemented
331#1864C2×C4111yescharacteristic, complemented
332#1864C2×C4111yescharacteristic, complemented
333#1776C2×C4111yescharacteristic, complemented
334#1771C2×C4111yescharacteristic, complemented
335#1762C2×C4111yescharacteristic, complemented
336C4×#102C2×C4111yescharacteristic, complemented
337C2×C41—82no—
338C2×C41—82no—
339C2×C41#236711yescharacteristic
340C2×C41C4×AGL(1,ℤ/8)11yescharacteristic
341C2×C41#294611yescharacteristic
342C2×C41#330911yescharacteristic
343C2×C41#331011yescharacteristic
344C2×C41#336611yescharacteristic
345C2×C41#337111yescharacteristic
346C2×#127C22×C4111yescharacteristic
347C2×#125C22×C4111yescharacteristic
348C2×C4×D4—21no—
349C2×C4×D4C22×C4111yescharacteristic
350C2×C4×D4C22×C4111yescharacteristic
351#490C4×C4118yescomplemented
352C2×#107C22×C4111yescharacteristic
353C2×#106C22×C4111yescharacteristic
354C2×C4⋊C8C22×C4111yescharacteristic
355C2×#102C22×C4111yescharacteristic
356C2×#102C22×C4111yescharacteristic
357C2×#102C22×C4111yescharacteristic
358C2×#102C22×C4111yescharacteristic
359C2×#102C22×C4111yescharacteristic
360C2×#102C22×C4111yescharacteristic
361C2×#102C22×C4111yescharacteristic
362C2×#102C22×C4111yescharacteristic
363C2×#97C22×C4111yescharacteristic
364C2×#97C22×C4111yescharacteristic
365C2×C4×C8C22×C4111yescharacteristic
366#390—21no—
367#390C22×C4111yescharacteristic
368#390C22×C4111yescharacteristic
369#389—21no—
370#389C22×C4111yescharacteristic
371#389C22×C4111yescharacteristic
372#387—21no—
373#387—21no—
374#386—21no—
375#386—21no—
376C4×C4⋊C4—21no—
377C4×C4⋊C4C22×C4111yescharacteristic
378C4×C4⋊C4C22×C4111yescharacteristic
379C4×C4⋊C4C22×C4111yescharacteristic
380C4×C4⋊C4C22×C4111yescharacteristic
381C4×C4⋊C4C22×C4111yescharacteristic
382#340C22×C4111yescharacteristic
383#340C22×C4111yescharacteristic
384#340C22×C4111yescharacteristic
385#340C22×C4111yescharacteristic
386#340C22×C4111yescharacteristic
387#340C22×C4111yescharacteristic
388#336C22×C4111yescharacteristic
389#336C22×C4111yescharacteristic
390C41#2323111yescharacteristic, direct product factor, Sylow
391C22×D4—21no—
392C22×D4—21no—
393C22×D4C23×C4111yescharacteristic
394C22×D4C23×C4111yescharacteristic
395C23×C4—21no—
396C23×C4—21no—
397C22×C8C23×C4111yescharacteristic
398C22×C8C23×C4111yescharacteristic
399C22×C8C23×C4111yescharacteristic
400C22×C8C23×C4111yescharacteristic
401#127—22no—
402#127C2×C4×C4114yes—
403#125—22no—
404#125C2×C4×C4114yescomplemented
405C4×D4—22no—
406C4×D4—22no—
407C4×D4—41no—
408C4×D4—41no—
409C4×D4—44no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4D4×C4111yescharacteristic
415C2×C4⋊C4D4×C4111yescharacteristic
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⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C42—21no—
429C2×C42—21no—
430C2×C42—21no—
431C2×C42—21no—
432C2×C42C23×C4111yescharacteristic
433C2×C42C23×C4111yescharacteristic
434C2×C42C23×C4111yescharacteristic
435#107—22no—
436#106—22no—
437C4⋊C8—22no—
438#102—22no—
439#102—22no—
440#102—41no—
441#102—41no—
442#102C2×C4×C4114yescomplemented
443#102C2×C4×C4114yescomplemented
444#102C2×C4×C4114yescomplemented
445#102C2×C4×C4114yescomplemented
446#97—41no—
447#97C2×C4×C4114yescomplemented
448C4×C8—41no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95D4×C4111yescharacteristic
456#95D4×C4111yescharacteristic
457C24—21no—
458C24—21no—
459C2×D4—24no—
460C2×D4—24no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—42no—
472C2×D4—42no—
473C2×D4—81no—
474C2×D4—81no—
475C2×D4C22×C4×C4112yes—
476C2×D4C22×C4×C4112yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—81no—
488C22×C4—81no—
489C22×C4C2×D4×C4111yescharacteristic
490C22×C4C2×D4×C4111yescharacteristic
491C22×C4C2×D4×C4111yescharacteristic
492C22×C4C2×D4×C4111yescharacteristic
493C22×C4C2×D4×C4111yescharacteristic
494C22×C4C2×D4×C4111yescharacteristic
495C22×C4C24×C4111yescharacteristic
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8C22×C4×C4112yes—
507C2×C8C22×C4×C4112yes—
508C4⋊C4—24no—
509C4⋊C4—24no—
510C4⋊C4—22no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—41no—
520C4⋊C4—42no—
521C4⋊C4—81no—
522C4⋊C4C22×C4×C4112yes—
523C4⋊C4C22×C4×C4112yes—
524C4⋊C4#41×C4112yes—
525C4⋊C4#41×C4112yes—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—81no—
531C22⋊C4—81no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—21no—
536C42—42no—
537C42—42no—
538C42—81no—
539C42—81no—
540C42C22×C4×C4112yes—
541C42#41×C4112yes—
542C23—22no—
543C23—22no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23C22×D4×C4111yescharacteristic
557D4—22no—
558D4—22no—
559D4—22no—
560D4—22no—
561D4—48no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—84no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
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—84no—
601C2×C4—84no—
602C2×C4C4×D4×C4112yes—
603C2×C4C4×D4×C4112yes—
604C2×C4AGL(1,ℤ/8)×C4112yes—
605C2×C4C23×C4×C4111yescharacteristic
606C2×C4C2×#41×C4111yescharacteristic
607C2×C4C2×#41×C4111yescharacteristic
608C2×C4C2×#41×C4111yescharacteristic
609C2×C4H(5,𝔽2)×C4111yescharacteristic
610C2×C42−1+4×C4111yescharacteristic
611C8—22no—
612C8—22no—
613C8—41no—
614C8—41no—
615C22—42no—
616C22—42no—
617C22—42no—
618C22—42no—
619C22—42no—
620C22—42no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22C2×C4×D4×C4111yescharacteristic
630C22C41×#54611yescharacteristic
631C22C41×#54811yescharacteristic
632C22C2×AGL(1,ℤ/8)×C4111yescharacteristic
633C22C41×#57511yescharacteristic
634C22C41×#57611yescharacteristic
635C22C41×#57711yescharacteristic
636C4—22no—
637C4—22no—
638C4—22no—
639C4—41no—
640C4—41no—
641C4—41no—
642C4—42no—
643C4—42no—
644C4—42no—
645C4—42no—
646C4—81no—
647C4—81no—
648C4C4×#41×C4111yescharacteristic
649C4C41×#52011yescharacteristic
650C4C41×#55611yescharacteristic
651C4C41×#55911yescharacteristic
652C2—82no—
653C2—82no—
654C2C41×#236711yescharacteristic
655C2C4×AGL(1,ℤ/8)×C4111yescharacteristic
656C2C41×#294611yescharacteristic
657C2C41×#330911yescharacteristic
658C2C41×#331011yescharacteristic
659C2C41×#336611yescharacteristic
660C2C41×#337111yescharacteristic
subgroupG/H
center, socleC23×C41C22×D4
commutatorC2×C4C23×C4×C41
Frattini, cosocleC22×C4C24×C41
prime radicalC2×#127×C41C22
LCSG ▷ C2×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
2. C41×#2370C2semidirect
4. C41×#1989C2semidirect
6. C41×#1936C2semidirect
7. C41×#1934C2semidirect
8. C41×#1925C2semidirect
9. C41×#1925C2semidirect
10. C41×#1864C2semidirect
11. C41×#1864C2semidirect
12. C41×#1776C2semidirect
13. C41×#1771C2semidirect
14. C41×#1762C2semidirect
15. C4×#102×C41C2semidirect
21. C41×#490C4semidirect
73. #125×C41C2×C4semidirect
111. #102×C41C2×C4semidirect
112. #102×C41C2×C4semidirect
113. #102×C41C2×C4semidirect
114. #102×C41C2×C4semidirect
116. #97×C41C2×C4semidirect
284. #23231C41direct (N × H)
323. #2370C2×C41semidirect
325. #1989C2×C41semidirect
327. #1936C2×C41semidirect
328. #1934C2×C41semidirect
329. #1925C2×C41semidirect
330. #1925C2×C41semidirect
331. #1864C2×C41semidirect
332. #1864C2×C41semidirect
333. #1776C2×C41semidirect
334. #1771C2×C41semidirect
335. #1762C2×C41semidirect
336. C4×#102C2×C41semidirect
351. #490C4×C41semidirect
390. C41#23231direct (N × H)
404. #125C2×C4×C41semidirect
442. #102C2×C4×C41semidirect
443. #102C2×C4×C41semidirect
444. #102C2×C4×C41semidirect
445. #102C2×C4×C41semidirect
447. #97C2×C4×C41semidirect

Maximal subgroups

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

subgroupindex
C2×C41×#4902
C41×#23702
C41×#23662
C41×#19892
C41×#19822
C41×#19362
C41×#19342
C41×#19252
C41×#18642
C41×#17762
C41×#17712
C41×#17622
C4×#102×C412
#2323141