Finite Group Databasebeta

← C41×#14224 #23790425

Subgroups — C41×#14224 #23790425

Order 10496.

2162 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C41×#394C211yesmaximal, characteristic
2C2×C41×#388C212yesmaximal, complemented
3C2×C41×#386C212yesmaximal
4C2×C4×C22⋊C4×C41C212yesmaximal, complemented
5C41×#1441C211yesmaximal, characteristic, complemented
6C41×#1439C212yesmaximal, complemented
7C41×C4⋊#95C211yesmaximal, characteristic, complemented
8C41×#1434C212yesmaximal, complemented
9C41×C22⋊#95C212yesmaximal, complemented
10C23×D4×C41C2211yescharacteristic
11C24×C4×C41C2212yes—
12C22×C4⋊C4×C41C2211yescharacteristic
13C22×C4⋊C4×C41C2211yescharacteristic
14C22×C4⋊C4×C41C2211yescharacteristic
15C22×C22⋊C4×C41C2212yes—
16C22×C22⋊C4×C41C2212yes—
17C22×C22⋊C4×C41C2212yes—
18C22×C22⋊C4×C41C2212yes—
19C22×C22⋊C4×C41C2212yes—
20C22×C42×C41C2212yes—
21C22×C42×C41C2211yescharacteristic
22C41×#394C418yescomplemented
23C41×#388—28no—
24C41×#386—28no—
25C4×C22⋊C4×C41—28no—
26C2×#95×C41C2212yes—
27C2×#95×C41C2212yes—
28C2×#95×C41C2212yes—
29C2×#95×C41C2212yes—
30C2×#95×C41C2212yes—
31C2×#95×C41C2212yes—
32C2×#95×C41C2212yes—
33C2×#95×C41C2211yescharacteristic
34C2×#95×C41C2211yescharacteristic
35C25×C41C2312yes—
36C22×D4×C41—24no—
37C22×D4×C41—24no—
38C22×D4×C41—41no—
39C22×D4×C41—41no—
40C22×D4×C41C2×C414yes—
41C23×C4×C41—24no—
42C23×C4×C41—24no—
43C23×C4×C41—24no—
44C23×C4×C41—24no—
45C23×C4×C41—24no—
46C23×C4×C41—42no—
47C23×C4×C41—42no—
48C23×C4×C41C2312yes—
49C23×C4×C41C2312yes—
50C23×C4×C41C2311yescharacteristic
51C23×C4×C41C2311yescharacteristic
52C23×C4×C41C2312yes—
53C23×C4×C41C2312yes—
54C23×C4×C41C2311yescharacteristic
55C23×C4×C41C2312yes—
56C2×C4⋊C4×C41—24no—
57C2×C4⋊C4×C41—22no—
58C2×C4⋊C4×C41—41no—
59C2×C4⋊C4×C41—41no—
60C2×C4⋊C4×C41—41no—
61C2×C4⋊C4×C41—41no—
62C2×C4⋊C4×C41—41no—
63C2×C4⋊C4×C41C2×C414yescomplemented
64C2×C22⋊C4×C41—24no—
65C2×C22⋊C4×C41—24no—
66C2×C22⋊C4×C41—24no—
67C2×C22⋊C4×C41—24no—
68C2×C22⋊C4×C41—24no—
69C2×C22⋊C4×C41—24no—
70C2×C22⋊C4×C41—24no—
71C2×C22⋊C4×C41—24no—
72C2×C22⋊C4×C41—24no—
73C2×C22⋊C4×C41—24no—
74C2×C22⋊C4×C41—42no—
75C2×C22⋊C4×C41—42no—
76C2×C22⋊C4×C41C2×C418yescomplemented
77C2×C22⋊C4×C41C2×C418yescomplemented
78C2×C22⋊C4×C41D418yes—
79C2×C42×C41—24no—
80C2×C42×C41—24no—
81C2×C42×C41—24no—
82C2×C42×C41—41no—
83C2×C42×C41—41no—
84C2×C42×C41D414yescomplemented
85#95×C41—24no—
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—41no—
93#95×C41C2×C414yescomplemented
94C24×C41—22no—
95C24×C41—22no—
96C24×C41—22no—
97C24×C41—22no—
98C24×C41—22no—
99C24×C41—22no—
100C24×C41—22no—
101C24×C41—22no—
102C24×C41—22no—
103C24×C41—22no—
104C24×C41—22no—
105C24×C41—22no—
106C24×C41C22×C414yes—
107C24×C41C2×D414yes—
108C24×C41#4114yes—
109C24×C41C2411yescharacteristic
110C2×D4×C41—216no—
111C2×D4×C41—44no—
112C2×D4×C41—44no—
113C2×D4×C41—48no—
114C2×D4×C41—44no—
115C22×C4×C41—22no—
116C22×C4×C41—22no—
117C22×C4×C41—21no—
118C22×C4×C41—21no—
119C22×C4×C41—22no—
120C22×C4×C41—22no—
121C22×C4×C41—21no—
122C22×C4×C41—21no—
123C22×C4×C41—216no—
124C22×C4×C41—22no—
125C22×C4×C41—22no—
126C22×C4×C41—22no—
127C22×C4×C41—22no—
128C22×C4×C41—22no—
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—22no—
138C22×C4×C41—22no—
139C22×C4×C41—22no—
140C22×C4×C41—22no—
141C22×C4×C41—22no—
142C22×C4×C41—21no—
143C22×C4×C41—22no—
144C22×C4×C41—22no—
145C22×C4×C41—22no—
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—22no—
156C22×C4×C41—22no—
157C22×C4×C41—48no—
158C22×C4×C41—48no—
159C22×C4×C41—48no—
160C22×C4×C41—48no—
161C22×C4×C41—48no—
162C22×C4×C41—48no—
163C22×C4×C41C22×C414yes—
164C22×C4×C41C22×C412yes—
165C22×C4×C41C22×C412yes—
166C22×C4×C41C22×C412yes—
167C22×C4×C41C2×D414yes—
168C22×C4×C41C2×D412yes—
169C22×C4×C41C2×D414yes—
170C22×C4×C41C2×D414yes—
171C22×C4×C41#4114yes—
172C22×C4×C41#4112yes—
173C22×C4×C41#4114yes—
174C4⋊C4×C41—44no—
175C4⋊C4×C41—44no—
176C4⋊C4×C41—44no—
177C22⋊C4×C41—216no—
178C22⋊C4×C41—216no—
179C22⋊C4×C41—216no—
180C22⋊C4×C41—48no—
181C22⋊C4×C41—48no—
182C42×C41—44no—
183C42×C41—48no—
184C23×C41—24no—
185C23×C41—24no—
186C23×C41—24no—
187C23×C41—24no—
188C23×C41—24no—
189C23×C41—24no—
190C23×C41—24no—
191C23×C41—24no—
192C23×C41—24no—
193C23×C41—24no—
194C23×C41—24no—
195C23×C41—24no—
196C23×C41—24no—
197C23×C41—24no—
198C23×C41—24no—
199C23×C41—24no—
200C23×C41—24no—
201C23×C41—24no—
202C23×C41—42no—
203C23×C41—42no—
204C23×C41—42no—
205C23×C41—42no—
206C23×C41—42no—
207C23×C41—42no—
208C23×C41—42no—
209C23×C41—42no—
210C23×C41—42no—
211C23×C41—42no—
212C23×C41—42no—
213C23×C41—42no—
214C23×C41—42no—
215C23×C41—42no—
216C23×C41—42no—
217C23×C41—42no—
218C23×C41C4×D418yes—
219C23×C41C23×C411yescharacteristic
220C23×C41C22×D411yescharacteristic
221C23×C41C22×D412yes—
222C23×C41C2×#4112yes—
223C23×C41C2×#4111yescharacteristic
224C23×C41C2×#4112yes—
225C23×C41C2×#4112yes—
226C23×C41H(5,𝔽2)11yescharacteristic
227C23×C41H(5,𝔽2)11yescharacteristic
228C23×C41H(5,𝔽2)11yescharacteristic
229C23×C412−1+411yescharacteristic
230D4×C41—416no—
231C2×C4×C41—22no—
232C2×C4×C41—22no—
233C2×C4×C41—24no—
234C2×C4×C41—24no—
235C2×C4×C41—22no—
236C2×C4×C41—22no—
237C2×C4×C41—22no—
238C2×C4×C41—22no—
239C2×C4×C41—24no—
240C2×C4×C41—24no—
241C2×C4×C41—24no—
242C2×C4×C41—24no—
243C2×C4×C41—24no—
244C2×C4×C41—24no—
245C2×C4×C41—24no—
246C2×C4×C41—24no—
247C2×C4×C41—24no—
248C2×C4×C41—22no—
249C2×C4×C41—22no—
250C2×C4×C41—24no—
251C2×C4×C41—24no—
252C2×C4×C41—24no—
253C2×C4×C41—24no—
254C2×C4×C41—24no—
255C2×C4×C41—24no—
256C2×C4×C41—432no—
257C2×C4×C41—42no—
258C2×C4×C41—42no—
259C2×C4×C41—42no—
260C2×C4×C41—42no—
261C2×C4×C41—42no—
262C2×C4×C41—42no—
263C2×C4×C41—42no—
264C2×C4×C41—42no—
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—41no—
272C2×C4×C41—42no—
273C2×C4×C41—41no—
274C2×C4×C41—42no—
275C2×C4×C41—42no—
276C2×C4×C41—42no—
277C2×C4×C41—42no—
278C2×C4×C41—42no—
279C2×C4×C41—42no—
280C2×C4×C41—42no—
281C2×C4×C41—42no—
282C2×C4×C41C4×D414yes—
283C2×C4×C41#12118yes—
284#14224C4111yesmaximal, characteristic, direct product factor, Sylow
285C22×C41—28no—
286C22×C41—28no—
287C22×C41—28no—
288C22×C41—44no—
289C22×C41—44no—
290C22×C41—44no—
291C22×C41—44no—
292C22×C41—44no—
293C22×C41—44no—
294C22×C41—44no—
295C22×C41—44no—
296C22×C41—44no—
297C22×C41—44no—
298C22×C41—44no—
299C22×C41—44no—
300C22×C41C2×C4×D411yescharacteristic
301C22×C41C2×C4×D412yes—
302C22×C41C4×#4112yes—
303C22×C41#51811yescharacteristic
304C22×C41#52011yescharacteristic
305C22×C41C2×#12112yes—
306C22×C41#52512yes—
307C22×C41#52912yes—
308C22×C41#53212yes—
309C22×C41#53411yescharacteristic
310C22×C41#53711yescharacteristic
311C22×C41#53811yescharacteristic
312C22×C41#53911yescharacteristic
313C22×C41D4211yescharacteristic
314C22×C41#54612yes—
315C22×C41#54612yes—
316C22×C41#54712yes—
317C22×C41#55111yescharacteristic
318C22×C41#55112yes—
319C22×C41#55112yes—
320C22×C41#55212yes—
321C22×C41#55511yescharacteristic
322C22×C41#55511yescharacteristic
323C4×C41—24no—
324C4×C41—28no—
325C4×C41—42no—
326C4×C41—42no—
327C4×C41—44no—
328C4×C41—44no—
329C4×C41—44no—
330C4×C41—82no—
331C2×#394C2×C4111yescharacteristic
332C2×#388C2×C4112yescomplemented
333C2×#386C2×C4112yes—
334C2×C4×C22⋊C4C2×C4112yescomplemented
335#1441C2×C4111yescharacteristic, complemented
336#1439C2×C4112yescomplemented
337C4⋊#95C2×C4111yescharacteristic, complemented
338#1434C2×C4112yescomplemented
339C22⋊#95C2×C4112yescomplemented
340C2×C41—48no—
341C2×C41C4×#12112yes—
342C2×C41#232511yescharacteristic
343C2×C41#235811yescharacteristic
344C2×C41#235912yes—
345C2×C41#237211yescharacteristic
346C2×C41#253412yes—
347C2×C41#253711yescharacteristic
348C2×C41#255312yes—
349C2×C41#255511yescharacteristic
350C2×C41#257211yescharacteristic
351C2×C41#260911yescharacteristic
352C23×D4C22×C4111yescharacteristic
353C24×C4C22×C4112yes—
354C22×C4⋊C4C22×C4111yescharacteristic
355C22×C4⋊C4C22×C4111yescharacteristic
356C22×C4⋊C4C22×C4111yescharacteristic
357C22×C22⋊C4C22×C4112yes—
358C22×C22⋊C4C22×C4112yes—
359C22×C22⋊C4C22×C4112yes—
360C22×C22⋊C4C22×C4112yes—
361C22×C22⋊C4C22×C4112yes—
362C22×C42C22×C4112yes—
363C22×C42C22×C4111yescharacteristic
364#394C4×C4118yescomplemented
365#388—28no—
366#386—28no—
367C4×C22⋊C4—28no—
368C2×#95C22×C4112yes—
369C2×#95C22×C4112yes—
370C2×#95C22×C4112yes—
371C2×#95C22×C4112yes—
372C2×#95C22×C4112yes—
373C2×#95C22×C4112yes—
374C2×#95C22×C4112yes—
375C2×#95C22×C4111yescharacteristic
376C2×#95C22×C4111yescharacteristic
377C41#1422411yescharacteristic, direct product factor, Sylow
378C25C23×C4112yes—
379C22×D4—24no—
380C22×D4—24no—
381C22×D4—41no—
382C22×D4—41no—
383C22×D4C2×C4×C4114yes—
384C23×C4—24no—
385C23×C4—24no—
386C23×C4—24no—
387C23×C4—24no—
388C23×C4—24no—
389C23×C4—42no—
390C23×C4—42no—
391C23×C4C23×C4112yes—
392C23×C4C23×C4111yescharacteristic
393C23×C4C23×C4112yes—
394C23×C4C23×C4111yescharacteristic
395C23×C4C23×C4112yes—
396C23×C4C23×C4112yes—
397C23×C4C23×C4111yescharacteristic
398C23×C4C23×C4112yes—
399C2×C4⋊C4—24no—
400C2×C4⋊C4—22no—
401C2×C4⋊C4—41no—
402C2×C4⋊C4—41no—
403C2×C4⋊C4—41no—
404C2×C4⋊C4—41no—
405C2×C4⋊C4—41no—
406C2×C4⋊C4C2×C4×C4114yescomplemented
407C2×C22⋊C4—24no—
408C2×C22⋊C4—24no—
409C2×C22⋊C4—24no—
410C2×C22⋊C4—24no—
411C2×C22⋊C4—24no—
412C2×C22⋊C4—24no—
413C2×C22⋊C4—24no—
414C2×C22⋊C4—24no—
415C2×C22⋊C4—24no—
416C2×C22⋊C4—24no—
417C2×C22⋊C4—42no—
418C2×C22⋊C4—42no—
419C2×C22⋊C4C2×C4×C4118yescomplemented
420C2×C22⋊C4C2×C4×C4118yescomplemented
421C2×C22⋊C4D4×C4118yes—
422C2×C42—24no—
423C2×C42—24no—
424C2×C42—24no—
425C2×C42—41no—
426C2×C42—41no—
427C2×C42D4×C4114yescomplemented
428#95—24no—
429#95—24no—
430#95—24no—
431#95—24no—
432#95—24no—
433#95—24no—
434#95—24no—
435#95—41no—
436#95C2×C4×C4114yescomplemented
437C24—22no—
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24—22no—
447C24—22no—
448C24—22no—
449C24C22×C4×C4114yes—
450C24C2×D4×C4114yes—
451C24#41×C4114yes—
452C24C24×C4111yescharacteristic
453C2×D4—216no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—48no—
457C2×D4—44no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—216no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4C22×C4×C4114yes—
507C22×C4C22×C4×C4112yes—
508C22×C4C22×C4×C4112yes—
509C22×C4C22×C4×C4112yes—
510C22×C4C2×D4×C4114yes—
511C22×C4C2×D4×C4112yes—
512C22×C4C2×D4×C4114yes—
513C22×C4C2×D4×C4114yes—
514C22×C4#41×C4114yes—
515C22×C4#41×C4112yes—
516C22×C4#41×C4114yes—
517C4⋊C4—44no—
518C4⋊C4—44no—
519C4⋊C4—44no—
520C22⋊C4—216no—
521C22⋊C4—216no—
522C22⋊C4—216no—
523C22⋊C4—48no—
524C22⋊C4—48no—
525C42—44no—
526C42—48no—
527C23—24no—
528C23—24no—
529C23—24no—
530C23—24no—
531C23—24no—
532C23—24no—
533C23—24no—
534C23—24no—
535C23—24no—
536C23—24no—
537C23—24no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—42no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23C4×D4×C4118yes—
562C23C23×C4×C4111yescharacteristic
563C23C22×D4×C4111yescharacteristic
564C23C22×D4×C4112yes—
565C23C2×#41×C4112yes—
566C23C2×#41×C4111yescharacteristic
567C23C2×#41×C4112yes—
568C23C2×#41×C4112yes—
569C23H(5,𝔽2)×C4111yescharacteristic
570C23H(5,𝔽2)×C4111yescharacteristic
571C23H(5,𝔽2)×C4111yescharacteristic
572C232−1+4×C4111yescharacteristic
573D4—416no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—432no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4C4×D4×C4114yes—
626C2×C4#121×C4118yes—
627C22—28no—
628C22—28no—
629C22—28no—
630C22—44no—
631C22—44no—
632C22—44no—
633C22—44no—
634C22—44no—
635C22—44no—
636C22—44no—
637C22—44no—
638C22—44no—
639C22—44no—
640C22—44no—
641C22—44no—
642C22C2×C4×D4×C4111yescharacteristic
643C22C2×C4×D4×C4112yes—
644C22C4×#41×C4112yes—
645C22C41×#51811yescharacteristic
646C22C41×#52011yescharacteristic
647C22C2×#121×C4112yes—
648C22C41×#52512yes—
649C22C41×#52912yes—
650C22C41×#53212yes—
651C22C41×#53411yescharacteristic
652C22C41×#53711yescharacteristic
653C22C41×#53811yescharacteristic
654C22C41×#53911yescharacteristic
655C22D42×C4111yescharacteristic
656C22C41×#54612yes—
657C22C41×#54612yes—
658C22C41×#54712yes—
659C22C41×#55112yes—
660C22C41×#55112yes—
661C22C41×#55111yescharacteristic
662C22C41×#55212yes—
663C22C41×#55511yescharacteristic
664C22C41×#55511yescharacteristic
665C4—28no—
666C4—24no—
667C4—44no—
668C4—44no—
669C4—44no—
670C4—42no—
671C4—42no—
672C4—82no—
673C2—48no—
674C2C4×#121×C4112yes—
675C2C41×#232511yescharacteristic
676C2C41×#235811yescharacteristic
677C2C41×#235912yes—
678C2C41×#237211yescharacteristic
679C2C41×#253412yes—
680C2C41×#253711yescharacteristic
681C2C41×#255312yes—
682C2C41×#255511yescharacteristic
683C2C41×#257211yescharacteristic
684C2C41×#260911yescharacteristic
subgroupG/H
center, socleC24×C41C24
commutatorC23C23×C4×C41
Frattini, cosocleC24C24×C41
prime radicalC23×D4×C41C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C41 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C41×#388C2semidirect
4. C2×C4×C22⋊C4×C41C2semidirect
5. C41×#1441C2semidirect
6. C41×#1439C2semidirect
7. C41×C4⋊#95C2semidirect
8. C41×#1434C2semidirect
9. C41×C22⋊#95C2semidirect
22. C41×#394C4semidirect
63. C2×C4⋊C4×C41C2×C4semidirect
76. C2×C22⋊C4×C41C2×C4semidirect
77. C2×C22⋊C4×C41C2×C4semidirect
84. C2×C42×C41D4semidirect
93. #95×C41C2×C4semidirect
284. #14224C41direct (N × H)
332. C2×#388C2×C41semidirect
334. C2×C4×C22⋊C4C2×C41semidirect
335. #1441C2×C41semidirect
336. #1439C2×C41semidirect
337. C4⋊#95C2×C41semidirect
338. #1434C2×C41semidirect
339. C22⋊#95C2×C41semidirect
364. #394C4×C41semidirect
377. C41#14224direct (N × H)
406. C2×C4⋊C4C2×C4×C41semidirect
419. C2×C22⋊C4C2×C4×C41semidirect
420. C2×C22⋊C4C2×C4×C41semidirect
427. C2×C42D4×C41semidirect
436. #95C2×C4×C41semidirect

Maximal subgroups

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

subgroupindex
C2×C41×#3942
C2×C41×#3882
C2×C41×#3862
C2×C4×C22⋊C4×C412
C41×#14412
C41×#14392
C41×C4⋊#952
C41×#14342
C41×C22⋊#952
#1422441