Finite Group Databasebeta

← C41×#26206 #23802407

Subgroups — C41×#26206 #23802407

Order 10496.

816 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#2417C211yesmaximal, characteristic
2C41×#2352C211yesmaximal, characteristic
3C41×#2101C211yesmaximal, characteristic, complemented
4C41×#2077C211yesmaximal, characteristic, complemented
5C41×#2074C211yesmaximal, characteristic, complemented
6C41×#2035C211yesmaximal, characteristic, complemented
7C41×#1927C211yesmaximal, characteristic, complemented
8C41×#1919C211yesmaximal, characteristic, complemented
9C41×#1892C211yesmaximal, characteristic, complemented
10C41×#1873C211yesmaximal, characteristic, complemented
11C41×#1872C211yesmaximal, characteristic, complemented
12C41×#1869C211yesmaximal, characteristic
13C41×#1853C211yesmaximal, characteristic, complemented
14C41×#1825C211yesmaximal, characteristic, complemented
15C2×C41×#340C211yesmaximal, characteristic, complemented
16C23×C8×C41C2211yescharacteristic
17C2×C22⋊Q8×C41C2211yescharacteristic
18C2×C22⋊Q8×C41C2211yescharacteristic
19C2×C4×D4×C41C2211yescharacteristic
20C2×#117×C41C2211yescharacteristic
21C22×C4⋊C4×C41C2211yescharacteristic
22C22×C4⋊C4×C41C2211yescharacteristic
23C2×#106×C41C2211yescharacteristic
24C2×#106×C41C2211yescharacteristic
25C2×#103×C41C2211yescharacteristic
26C2×#103×C41C2211yescharacteristic
27C2×#103×C41C2211yescharacteristic
28C2×#103×C41C2211yescharacteristic
29C2×C22⋊C8×C41C2211yescharacteristic
30C2×C22⋊C8×C41C2211yescharacteristic
31C2×C22⋊C8×C41C2211yescharacteristic
32C41×#398—21no—
33C41×#396—21no—
34C41×#391C2211yescharacteristic
35C41×#389C2211yescharacteristic
36C41×#388—21no—
37C41×#387—21no—
38C41×#386—21no—
39C41×#386—21no—
40C41×#382C2211yescharacteristic
41C41×#380—21no—
42C41×#380C2211yescharacteristic
43C41×#380C2211yescharacteristic
44C41×#380C2211yescharacteristic
45C4×C4⋊C4×C41C2211yescharacteristic
46C4×C22⋊C4×C41—21no—
47C41×#340C2211yescharacteristic
48C41×#340C2211yescharacteristic
49C41×#340C2211yescharacteristic
50C41×#340C2211yescharacteristic
51C41×#340C2211yescharacteristic
52C41×#340C2211yescharacteristic
53C41×#340C2211yescharacteristic
54C41×#340C2211yescharacteristic
55C41×#340C2211yescharacteristic
56C41×#340C2211yescharacteristic
57C41×#336C2211yescharacteristic
58C41×#336C2211yescharacteristic
59C22×Q8×C41C2311yescharacteristic
60C22×D4×C41D411yescharacteristic
61C23×C4×C41—21no—
62C23×C4×C41—21no—
63C23×C4×C41C2311yescharacteristic
64C23×C4×C41C2311yescharacteristic
65C22×C8×C41—22no—
66C22×C8×C41—41no—
67C22×C8×C41—41no—
68C22×C8×C41C2311yescharacteristic
69C22×C8×C41C2311yescharacteristic
70C22×C8×C41C2311yescharacteristic
71C22×C8×C41C2311yescharacteristic
72C22⋊Q8×C41—22no—
73C22⋊Q8×C41—22no—
74C22⋊Q8×C41—22no—
75C22⋊Q8×C41—41no—
76C4×D4×C41—22no—
77C4×D4×C41—22no—
78#117×C41—22no—
79#117×C41—41no—
80C2×C4⋊C4×C41—22no—
81C2×C4⋊C4×C41—22no—
82C2×C4⋊C4×C41—21no—
83C2×C4⋊C4×C41—21no—
84C2×C4⋊C4×C41—21no—
85C2×C4⋊C4×C41—21no—
86C2×C4⋊C4×C41—21no—
87C2×C4⋊C4×C41—41no—
88C2×C4⋊C4×C41—41no—
89C2×C4⋊C4×C41D411yescharacteristic
90C2×C4⋊C4×C41C2311yescharacteristic
91C2×C4⋊C4×C41C2311yescharacteristic
92C2×C4⋊C4×C41C2311yescharacteristic
93C2×C4⋊C4×C41C2311yescharacteristic
94C2×C4⋊C4×C41C2311yescharacteristic
95C2×C4⋊C4×C41C2311yescharacteristic
96C2×C4⋊C4×C41C2311yescharacteristic
97C2×C22⋊C4×C41—21no—
98C2×C22⋊C4×C41—21no—
99C2×C22⋊C4×C41—21no—
100C2×C22⋊C4×C41—21no—
101C2×C22⋊C4×C41—21no—
102C2×C22⋊C4×C41—21no—
103C2×C22⋊C4×C41D411yescharacteristic
104C2×C22⋊C4×C41D411yescharacteristic
105C2×C42×C41—21no—
106C2×C42×C41—21no—
107C2×C42×C41C2311yescharacteristic
108#106×C41—22no—
109#106×C41—41no—
110#103×C41—22no—
111#103×C41—41no—
112#103×C41—41no—
113#103×C41—41no—
114C22⋊C8×C41—22no—
115C22⋊C8×C41—41no—
116C22⋊C8×C41—41no—
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×C41—21no—
126C24×C41C2×D411yescharacteristic
127C24×C41C2×D411yescharacteristic
128C2×Q8×C41—21no—
129C2×Q8×C41—21no—
130C2×Q8×C41—21no—
131C2×Q8×C41—21no—
132C2×Q8×C41—21no—
133C2×Q8×C41—21no—
134C2×D4×C41—22no—
135C2×D4×C41—22no—
136C2×D4×C41—22no—
137C22×C4×C41—21no—
138C22×C4×C41—21no—
139C22×C4×C41—21no—
140C22×C4×C41—21no—
141C22×C4×C41—21no—
142C22×C4×C41—21no—
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—21no—
150C22×C4×C41—21no—
151C22×C4×C41—21no—
152C22×C4×C41—21no—
153C22×C4×C41—21no—
154C22×C4×C41—21no—
155C22×C4×C41—42no—
156C22×C4×C41—42no—
157C22×C4×C41—42no—
158C22×C4×C41—42no—
159C22×C4×C41—81no—
160C22×C4×C41—81no—
161C22×C4×C41C2×D411yescharacteristic
162C22×C4×C41C2×D411yescharacteristic
163C22×C4×C41C2×D411yescharacteristic
164C22×C4×C41C2×D411yescharacteristic
165C22×C4×C41#4112yes—
166C22×C4×C41#4112yes—
167C22×C4×C41C2411yescharacteristic
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×C41—21no—
176C2×C8×C41—21no—
177C2×C8×C41—21no—
178C2×C8×C41—21no—
179C2×C8×C41—21no—
180C2×C8×C41—44no—
181C4⋊C4×C41—22no—
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—21no—
189C4⋊C4×C41—21no—
190C4⋊C4×C41—21no—
191C4⋊C4×C41—21no—
192C4⋊C4×C41—21no—
193C4⋊C4×C41—21no—
194C4⋊C4×C41—42no—
195C4⋊C4×C41—42no—
196C4⋊C4×C41—42no—
197C4⋊C4×C41—42no—
198C4⋊C4×C41—81no—
199C4⋊C4×C41#4112yes—
200C4⋊C4×C41#4112yes—
201C22⋊C4×C41—22no—
202C22⋊C4×C41—22no—
203C22⋊C4×C41—42no—
204C22⋊C4×C41—42no—
205C22⋊C4×C41—42no—
206C22⋊C4×C41—42no—
207C22⋊C4×C41—81no—
208C22⋊C4×C41—81no—
209C42×C41—21no—
210C42×C41—21no—
211C42×C41—42no—
212C42×C41—81no—
213C23×C41—21no—
214C23×C41—21no—
215C23×C41—21no—
216C23×C41—21no—
217C23×C41—21no—
218C23×C41—21no—
219C23×C41—21no—
220C23×C41—21no—
221C23×C41—21no—
222C23×C41—21no—
223C23×C41—21no—
224C23×C41#12312yes—
225C23×C41#13512yes—
226C23×C41#13712yes—
227C23×C41C22×D411yescharacteristic
228Q8×C41—41no—
229Q8×C41—41no—
230Q8×C41—41no—
231Q8×C41—41no—
232D4×C41—44no—
233C2×C4×C41—21no—
234C2×C4×C41—21no—
235C2×C4×C41—22no—
236C2×C4×C41—22no—
237C2×C4×C41—22no—
238C2×C4×C41—22no—
239C2×C4×C41—21no—
240C2×C4×C41—21no—
241C2×C4×C41—21no—
242C2×C4×C41—21no—
243C2×C4×C41—22no—
244C2×C4×C41—22no—
245C2×C4×C41—21no—
246C2×C4×C41—21no—
247C2×C4×C41—21no—
248C2×C4×C41—21no—
249C2×C4×C41—21no—
250C2×C4×C41—41no—
251C2×C4×C41—41no—
252C2×C4×C41—41no—
253C2×C4×C41—41no—
254C2×C4×C41—41no—
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—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—84no—
277C2×C4×C41—84no—
278C2×C4×C41#12312yes—
279C2×C4×C41C2×#4111yescharacteristic
280C2×C4×C41C2×#4111yescharacteristic
281C2×C4×C41C2×#4111yescharacteristic
282C2×C4×C41C2×#4111yescharacteristic
283C2×C4×C41H(5,𝔽2)11yescharacteristic
284C2×C4×C41H(5,𝔽2)11yescharacteristic
285C8×C41—41no—
286C8×C41—41no—
287C8×C41—41no—
288C8×C41—41no—
289#26206C4111yesmaximal, characteristic, direct product factor, Sylow
290C22×C41—22no—
291C22×C41—22no—
292C22×C41—22no—
293C22×C41—22no—
294C22×C41—22no—
295C22×C41—22no—
296C22×C41—41no—
297C22×C41—41no—
298C22×C41—41no—
299C22×C41—41no—
300C22×C41—41no—
301C22×C41—41no—
302C22×C41—41no—
303C22×C41#48514yes—
304C22×C41C2×#12311yescharacteristic
305C22×C41#54611yescharacteristic
306C22×C41#54611yescharacteristic
307C22×C41C2×#13511yescharacteristic
308C22×C41C2×#13711yescharacteristic
309C22×C41#57711yescharacteristic
310C22×C41#57711yescharacteristic
311C4×C41—22no—
312C4×C41—41no—
313C4×C41—41no—
314C4×C41—41no—
315C4×C41—42no—
316C4×C41—42no—
317C4×C41—81no—
318C4×C41—81no—
319C4×C41—81no—
320C4×C41—81no—
321C4×C41—81no—
322C4×C41—81no—
323C4×C41#52911yescharacteristic
324C4×C41#53811yescharacteristic
325C4×C41#55311yescharacteristic
326C4×C41#55311yescharacteristic
327#2417C2×C4111yescharacteristic
328#2352C2×C4111yescharacteristic
329#2101C2×C4111yescharacteristic, complemented
330#2077C2×C4111yescharacteristic, complemented
331#2074C2×C4111yescharacteristic, complemented
332#2035C2×C4111yescharacteristic, complemented
333#1927C2×C4111yescharacteristic, complemented
334#1919C2×C4111yescharacteristic, complemented
335#1892C2×C4111yescharacteristic, complemented
336#1873C2×C4111yescharacteristic, complemented
337#1872C2×C4111yescharacteristic, complemented
338#1869C2×C4111yescharacteristic
339#1853C2×C4111yescharacteristic, complemented
340#1825C2×C4111yescharacteristic, complemented
341C2×#340C2×C4111yescharacteristic, complemented
342C2×C41—24no—
343C2×C41—81no—
344C2×C41#244411yescharacteristic
345C2×C41C2×#48511yescharacteristic
346C2×C41#309911yescharacteristic
347C2×C41#329611yescharacteristic
348C2×C41#329611yescharacteristic
349C2×C41#331611yescharacteristic
350C2×C41#332011yescharacteristic
351C23×C8C22×C4111yescharacteristic
352C2×C22⋊Q8C22×C4111yescharacteristic
353C2×C22⋊Q8C22×C4111yescharacteristic
354C2×C4×D4C22×C4111yescharacteristic
355C2×#117C22×C4111yescharacteristic
356C22×C4⋊C4C22×C4111yescharacteristic
357C22×C4⋊C4C22×C4111yescharacteristic
358C2×#106C22×C4111yescharacteristic
359C2×#106C22×C4111yescharacteristic
360C2×#103C22×C4111yescharacteristic
361C2×#103C22×C4111yescharacteristic
362C2×#103C22×C4111yescharacteristic
363C2×#103C22×C4111yescharacteristic
364C2×C22⋊C8C22×C4111yescharacteristic
365C2×C22⋊C8C22×C4111yescharacteristic
366C2×C22⋊C8C22×C4111yescharacteristic
367#398—21no—
368#396—21no—
369#391C22×C4111yescharacteristic
370#389C22×C4111yescharacteristic
371#388—21no—
372#387—21no—
373#386—21no—
374#386—21no—
375#382C22×C4111yescharacteristic
376#380—21no—
377#380C22×C4111yescharacteristic
378#380C22×C4111yescharacteristic
379#380C22×C4111yescharacteristic
380C4×C4⋊C4C22×C4111yescharacteristic
381C4×C22⋊C4—21no—
382#340C22×C4111yescharacteristic
383#340C22×C4111yescharacteristic
384#340C22×C4111yescharacteristic
385#340C22×C4111yescharacteristic
386#340C22×C4111yescharacteristic
387#340C22×C4111yescharacteristic
388#340C22×C4111yescharacteristic
389#340C22×C4111yescharacteristic
390#340C22×C4111yescharacteristic
391#340C22×C4111yescharacteristic
392#336C22×C4111yescharacteristic
393#336C22×C4111yescharacteristic
394C41#2620611yescharacteristic, direct product factor, Sylow
395C22×Q8C23×C4111yescharacteristic
396C22×D4D4×C4111yescharacteristic
397C23×C4—21no—
398C23×C4—21no—
399C23×C4C23×C4111yescharacteristic
400C23×C4C23×C4111yescharacteristic
401C22×C8—22no—
402C22×C8—41no—
403C22×C8—41no—
404C22×C8C23×C4111yescharacteristic
405C22×C8C23×C4111yescharacteristic
406C22×C8C23×C4111yescharacteristic
407C22×C8C23×C4111yescharacteristic
408C22⋊Q8—22no—
409C22⋊Q8—22no—
410C22⋊Q8—22no—
411C22⋊Q8—41no—
412C4×D4—22no—
413C4×D4—22no—
414#117—22no—
415#117—41no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—22no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—41no—
424C2×C4⋊C4—41no—
425C2×C4⋊C4D4×C4111yescharacteristic
426C2×C4⋊C4C23×C4111yescharacteristic
427C2×C4⋊C4C23×C4111yescharacteristic
428C2×C4⋊C4C23×C4111yescharacteristic
429C2×C4⋊C4C23×C4111yescharacteristic
430C2×C4⋊C4C23×C4111yescharacteristic
431C2×C4⋊C4C23×C4111yescharacteristic
432C2×C4⋊C4C23×C4111yescharacteristic
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4D4×C4111yescharacteristic
440C2×C22⋊C4D4×C4111yescharacteristic
441C2×C42—21no—
442C2×C42—21no—
443C2×C42C23×C4111yescharacteristic
444#106—22no—
445#106—41no—
446#103—22no—
447#103—41no—
448#103—41no—
449#103—41no—
450C22⋊C8—22no—
451C22⋊C8—41no—
452C22⋊C8—41no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462C24C2×D4×C4111yescharacteristic
463C24C2×D4×C4111yescharacteristic
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4—22no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—81no—
496C22×C4—81no—
497C22×C4C2×D4×C4111yescharacteristic
498C22×C4C2×D4×C4111yescharacteristic
499C22×C4C2×D4×C4111yescharacteristic
500C22×C4C2×D4×C4111yescharacteristic
501C22×C4#41×C4112yes—
502C22×C4#41×C4112yes—
503C22×C4C24×C4111yescharacteristic
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×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—44no—
517C4⋊C4—22no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—42no—
533C4⋊C4—42no—
534C4⋊C4—81no—
535C4⋊C4#41×C4112yes—
536C4⋊C4#41×C4112yes—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C42—21no—
546C42—21no—
547C42—42no—
548C42—81no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23#123×C4112yes—
561C23#135×C4112yes—
562C23#137×C4112yes—
563C23C22×D4×C4111yescharacteristic
564Q8—41no—
565Q8—41no—
566Q8—41no—
567Q8—41no—
568D4—44no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—22no—
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—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—84no—
613C2×C4—84no—
614C2×C4#123×C4112yes—
615C2×C4C2×#41×C4111yescharacteristic
616C2×C4C2×#41×C4111yescharacteristic
617C2×C4C2×#41×C4111yescharacteristic
618C2×C4C2×#41×C4111yescharacteristic
619C2×C4H(5,𝔽2)×C4111yescharacteristic
620C2×C4H(5,𝔽2)×C4111yescharacteristic
621C8—41no—
622C8—41no—
623C8—41no—
624C8—41no—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22C41×#48514yes—
639C22C2×#123×C4111yescharacteristic
640C22C41×#54611yescharacteristic
641C22C41×#54611yescharacteristic
642C22C2×#135×C4111yescharacteristic
643C22C2×#137×C4111yescharacteristic
644C22C41×#57711yescharacteristic
645C22C41×#57711yescharacteristic
646C4—22no—
647C4—42no—
648C4—42no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—81no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4C41×#52911yescharacteristic
659C4C41×#53811yescharacteristic
660C4C41×#55311yescharacteristic
661C4C41×#55311yescharacteristic
662C2—24no—
663C2—81no—
664C2C41×#244411yescharacteristic
665C2C2×C41×#48511yescharacteristic
666C2C41×#309911yescharacteristic
667C2C41×#329611yescharacteristic
668C2C41×#329611yescharacteristic
669C2C41×#331611yescharacteristic
670C2C41×#332011yescharacteristic
subgroupG/H
center, socleC23×C41C22×D4
commutator, Frattini, cosocleC22×C4C24×C41
prime radicalC22×D4×C41D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C41 ◁ C2×C4×D4×C41 ◁ G

Complements

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

NH ≅ G/Ntype
3. C41×#2101C2semidirect
4. C41×#2077C2semidirect
5. C41×#2074C2semidirect
6. C41×#2035C2semidirect
7. C41×#1927C2semidirect
8. C41×#1919C2semidirect
9. C41×#1892C2semidirect
10. C41×#1873C2semidirect
11. C41×#1872C2semidirect
13. C41×#1853C2semidirect
14. C41×#1825C2semidirect
15. C2×C41×#340C2semidirect
289. #26206C41direct (N × H)
329. #2101C2×C41semidirect
330. #2077C2×C41semidirect
331. #2074C2×C41semidirect
332. #2035C2×C41semidirect
333. #1927C2×C41semidirect
334. #1919C2×C41semidirect
335. #1892C2×C41semidirect
336. #1873C2×C41semidirect
337. #1872C2×C41semidirect
339. #1853C2×C41semidirect
340. #1825C2×C41semidirect
341. C2×#340C2×C41semidirect
394. C41#26206direct (N × H)

Maximal subgroups

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

subgroupindex
C41×#24172
C41×#23522
C41×#21012
C41×#20772
C41×#20742
C41×#20352
C41×#19272
C41×#19192
C41×#18922
C41×#18732
C41×#18722
C41×#18692
C41×#18532
C41×#18252
C2×C41×#3402
#2620641