Finite Group Databasebeta

← #25118877

Subgroups — #25118877

Order 11008.

1034 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583114C211yesmaximal, characteristic
2C2×#14582990C211yesmaximal, characteristic, complemented
3C2×#14582979C211yesmaximal, characteristic
4#19137666C211yesmaximal, characteristic, complemented
5#19137505C211yesmaximal, characteristic, complemented
6#19135406C211yesmaximal, characteristic, complemented
7#19135363C211yesmaximal, characteristic, complemented
8#19135279C211yesmaximal, characteristic, complemented
9#19135272C211yesmaximal, characteristic, complemented
10#19134941C211yesmaximal, characteristic
11#19134927C211yesmaximal, characteristic, complemented
12#19134857C211yesmaximal, characteristic, complemented
13#19134850C211yesmaximal, characteristic, complemented
14C8×C4⋊Dic43C211yesmaximal, characteristic, complemented
15C4×#102×C43C211yesmaximal, characteristic, complemented
16C22×#10621883C2211yescharacteristic
17C22×#10621882C2211yescharacteristic
18C2×#13063313C2211yescharacteristic
19C2×#13063290C2211yescharacteristic
20C2×D4×Dic43C2211yescharacteristic
21C2×D4×Dic43C2211yescharacteristic
22C2×#13063287C2211yescharacteristic
23#14583114C418yescomplemented
24#14582990—24no—
25#14582979—24no—
26C2×#13063258C2211yescharacteristic
27C2×#13063256C2211yescharacteristic
28C2×C4⋊(C43⋊C8)C2211yescharacteristic
29C2×#13063250C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063248C2211yescharacteristic
32C2×#13063247C2211yescharacteristic
33C2×#13063247C2211yescharacteristic
34C2×#13063245C2211yescharacteristic
35C2×C8×Dic43C2211yescharacteristic
36C2×C8×Dic43C2211yescharacteristic
37#14582804C2211yescharacteristic
38#14582800C2211yescharacteristic
39#14582798C2211yescharacteristic
40#14582798C2211yescharacteristic
41#14582791—21no—
42#14582790—21no—
43#14582774—21no—
44#14582774—21no—
45#14582773—21no—
46#14582765C2211yescharacteristic
47#14582759—21no—
48C4×C4⋊Dic43C2211yescharacteristic
49C4×(C2×D43)⋊C4—21no—
50C2×C43⋊#95—21no—
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582653C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic
56C2×#102×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×C4×C8×C43C2211yescharacteristic
59C4×C4⋊C4×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×D172C2311yescharacteristic
64C23×Dic43—21no—
65C23×Dic43—21no—
66C22×C4×D43—21no—
67C2×#10621883—22no—
68C2×#10621883—22no—
69C2×#10621883C2×C414yescomplemented
70C2×#10621882—22no—
71C2×#10621882—22no—
72C2×#10621882C2×C414yes—
73C22×C43⋊C8C2311yescharacteristic
74C22×C43⋊C8C2311yescharacteristic
75#13063313—22no—
76#13063313C2×C414yescomplemented
77#13063290—22no—
78#13063290—41no—
79D4×Dic43—22no—
80D4×Dic43—22no—
81D4×Dic43—41no—
82D4×Dic43—41no—
83#13063287—22no—
84#13063287—41no—
85C2×C4⋊Dic43—21no—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43D411yescharacteristic
88C2×C4⋊Dic43D411yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×Dic43⋊C4—21no—
92C2×C22⋊Dic43—21no—
93C2×C22⋊Dic43—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×C4×Dic43—21no—
100C2×C4×Dic43C2311yescharacteristic
101C2×C4×Dic43C2311yescharacteristic
102#13063258—22no—
103#13063256—22no—
104C4⋊(C43⋊C8)C2×C414yescomplemented
105#13063250—22no—
106#13063250—41no—
107#13063248C2×C414yescomplemented
108#13063247—22no—
109#13063247—41no—
110#13063245C2×C414yescomplemented
111C8×Dic43—22no—
112C8×Dic43—22no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95D411yescharacteristic
120C43⋊#95D411yescharacteristic
121C22×D4×C43C2311yescharacteristic
122C23×C4×C43—21no—
123C22×C8×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C4×D4×C43—22no—
126C4×D4×C43C2×C414yescomplemented
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C22⋊C4×C43—21no—
131C2×C42×C43—21no—
132C2×C42×C43C2311yescharacteristic
133#102×C43—22no—
134#102×C43D414yes—
135C4×C8×C43—22no—
136#95×C43—21no—
137C24×C43—21no—
138C23×D43—21no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43C22×C412yes—
143C2×D4×C43C2×D412yes—
144C2×D4×C43#4112yes—
145C22×C4×C43—24no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—81no—
150C22×C4×C43—81no—
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2411yescharacteristic
154C22×Dic43—21no—
155C22×Dic43—21no—
156C22×Dic43—21no—
157C22×Dic43—42no—
158C22×Dic43—42no—
159C22×Dic43—42no—
160C22×Dic43—42no—
161C22×Dic43—81no—
162C22×Dic43—81no—
163C22×Dic43C2×D411yescharacteristic
164C22×Dic43C2×D411yescharacteristic
165C22×Dic43C2×D411yescharacteristic
166C22×Dic43C2×D411yescharacteristic
167C2×D172—21no—
168C2×D172—21no—
169C2×D172—21no—
170C2×D172—21no—
171C2×D172—21no—
172C2×D172C22×C412yes—
173C2×C4×D43—42no—
174C2×C4×D43—42no—
175C2×C4×D43—81no—
176C2×Dic86—21no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86C22×C412yes—
182C2×C8×C43—21no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43C2×D412yes—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43C22×C412yes—
193C4⋊C4×C43C2×D412yes—
194C22⋊C4×C43—24no—
195C42×C43—81no—
196C42×C43C22×C412yes—
197C42×C43#4112yes—
198C22⋊Dic43—42no—
199C22⋊Dic43—42no—
200#10621883—28no—
201#10621882—28no—
202(C2×D43)⋊C4—24no—
203(C2×D43)⋊C4—24no—
204(C2×D43)⋊C4—42no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—81no—
207C4⋊Dic43—22no—
208C4⋊Dic43—22no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—81no—
214C4⋊Dic43—81no—
215Dic43⋊C4—42no—
216C4×Dic43—21no—
217C4×Dic43—21no—
218C4×Dic43—21no—
219C4×Dic43—21no—
220C4×Dic43—42no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8C22×C412yes—
226C2×C43⋊C8C22×C412yes—
227C23×C43—22no—
228C23×C43—22no—
229C23×C43—22no—
230C23×C43—41no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43C22×D411yescharacteristic
235C22×D43—22no—
236C22×D43—41no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242D4×C43—22no—
243D4×C43—22no—
244D4×C43—22no—
245D4×C43C4×D414yes—
246C2×C4×C43—21no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—84no—
260C2×C4×C43C4×D412yes—
261C2×C4×C43C4×D412yes—
262C2×C4×C43C23×C411yescharacteristic
263C2×C4×C43C22×D411yescharacteristic
264C2×C4×C43C2×#4111yescharacteristic
265C2×C4×C43C2×#4111yescharacteristic
266C2×C4×C43H(5,𝔽2)11yescharacteristic
267C2×C4×C432−1+411yescharacteristic
268C2×Dic43—21no—
269C2×Dic43—21no—
270C2×Dic43—21no—
271C2×Dic43—21no—
272C2×Dic43—22no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—84no—
288C2×Dic43—84no—
289C2×Dic43#13512yes—
290C2×Dic43#13512yes—
291D172—22no—
292D172—22no—
293D172—41no—
294D172—41no—
295C4×D43—84no—
296Dic86—22no—
297Dic86—22no—
298Dic86—41no—
299Dic86—41no—
300C8×C43—22no—
301C8×C43—41no—
302C43⋊C8—22no—
303C43⋊C8—22no—
304#22999—431nomaximal, Sylow
305C22×C43—24no—
306C22×C43—42no—
307C22×C43—42no—
308C22×C43—42no—
309C22×C43—42no—
310C22×C43—42no—
311C22×C43—42no—
312C22×C43C2×C4×D411yescharacteristic
313C22×C43D4211yescharacteristic
314C22×C43#54811yescharacteristic
315C22×C43C2×#13511yescharacteristic
316C22×C43C2×#13511yescharacteristic
317C22×C43#57611yescharacteristic
318C22×C43#57711yescharacteristic
319C2×D43—42no—
320C2×D43—42no—
321C2×D43—42no—
322C2×D43—81no—
323C2×D43—81no—
324C2×D43—81no—
325C2×D43—81no—
326C4×C43—22no—
327C4×C43—22no—
328C4×C43—42no—
329C4×C43—42no—
330C4×C43—81no—
331C4×C43C2×C4×D411yescharacteristic
332C4×C43#52011yescharacteristic
333C4×C43#54711yescharacteristic
334C4×C43#55311yescharacteristic
335Dic43—22no—
336Dic43—22no—
337Dic43—42no—
338Dic43—41no—
339Dic43—41no—
340Dic43—81no—
341Dic43—81no—
342C2×#463—431no—
343C2×C4×SD16—431no—
344C2×C4×D8—431no—
345#2367—431no—
346#2349—431no—
347#1958—431no—
348#1949—431no—
349#1934—431no—
350#1933—431no—
351#1879—431no—
352#1877—431no—
353#1864—431no—
354#1863—431no—
355C8×C4⋊C4—431no—
356C4×#102D4311yescharacteristic, complemented
357C2×C43—44no—
358C2×C43#236111yescharacteristic
359C2×C43C4×#13511yescharacteristic
360C2×C43#294611yescharacteristic
361C2×C43#328011yescharacteristic
362C2×C43#328211yescharacteristic
363C2×C43#336011yescharacteristic
364C2×C43#336111yescharacteristic
365D43—82no—
366C22×SD16—431no—
367C22×D8—431no—
368C2×#124—431no—
369C2×C4×Q8—431no—
370C2×C4×D4—431no—
371C2×C4×D4—431no—
372C2×C4×D4—431no—
373C2×C4×D4C2×D4311yescharacteristic
374#463—438no—
375C4×SD16—864no—
376C4×D8—864no—
377C2×#107—431no—
378C2×#106—431no—
379C2×C4⋊C8—431no—
380C2×#103—431no—
381C2×#103—431no—
382C2×#103—431no—
383C2×#102—431no—
384C2×#102—431no—
385C2×#102—431no—
386C2×#102C2×D4311yescharacteristic
387C2×#102C2×D4311yescharacteristic
388C2×C4×C8—431no—
389C2×C4×C8—431no—
390C2×C4×C8C2×D4311yescharacteristic
391#391—431no—
392#390—431no—
393#389—431no—
394#389—431no—
395#388—861no—
396#388—861no—
397#385—861no—
398#385—861no—
399#385—861no—
400#382—431no—
401#380—861no—
402C4×C4⋊C4—431no—
403C4×C4⋊C4C2×D4311yescharacteristic
404C4×C22⋊C4—861no—
405C2×#95—861no—
406#340—431no—
407#340—431no—
408#340C2×D4311yescharacteristic
409#340C2×D4311yescharacteristic
410#336—431no—
411#336—431no—
412C43#2299911yescharacteristic, complemented, Sylow
413C22×Q8—431no—
414C22×D4—431no—
415C22×D4C22×D4311yescharacteristic
416C23×C4—21no—
417C23×C4—861no—
418C23×C4—861no—
419C23×C4—861no—
420C2×SD16—434no—
421C2×SD16—862no—
422C2×SD16—862no—
423C2×D8—434no—
424C2×D8—862no—
425C2×D8—862no—
426C22×C8—431no—
427C22×C8—431no—
428C22×C8C22×D4311yescharacteristic
429C22×C8C22×D4311yescharacteristic
430#124—434no—
431#124—862no—
432C4×Q8—862no—
433C4×Q8—1721no—
434C4×D4—22no—
435C4×D4—862no—
436C4×D4—862no—
437C4×D4—862no—
438C4×D4—1721no—
439C4×D4—1721no—
440C4×D4—1721no—
441C4×D4C4×D4314yescomplemented
442C2×C4⋊C4—431no—
443C2×C4⋊C4—431no—
444C2×C4⋊C4—431no—
445C2×C4⋊C4—431no—
446C2×C4⋊C4—861no—
447C2×C4⋊C4—861no—
448C2×C4⋊C4—861no—
449C2×C4⋊C4C22×D4311yescharacteristic
450C2×C4⋊C4C22×D4311yescharacteristic
451C2×C4⋊C4C22×D4311yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—861no—
454C2×C22⋊C4—861no—
455C2×C22⋊C4—861no—
456C2×C22⋊C4—861no—
457C2×C22⋊C4—861no—
458C2×C22⋊C4—861no—
459C2×C22⋊C4—861no—
460C2×C42—21no—
461C2×C42—431no—
462C2×C42—431no—
463C2×C42—861no—
464C2×C42C22×D4311yescharacteristic
465#107—862no—
466#106—862no—
467C4⋊C8—434no—
468#103—434no—
469#103—862no—
470#103—1721no—
471#102—22no—
472#102—434no—
473#102—862no—
474#102—1721no—
475#102D17214yes—
476C4×C8—22no—
477C4×C8—862no—
478C4×C8—862no—
479#95—21no—
480#95—431no—
481#95—431no—
482#95—861no—
483#95—861no—
484#95—861no—
485#95—861no—
486#95—861no—
487#95—861no—
488C24—21no—
489C24—861no—
490C2×Q8—432no—
491C2×Q8—861no—
492C2×Q8—861no—
493C2×Q8—861no—
494C2×Q8—861no—
495C2×Q8—861no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—432no—
500C2×D4—861no—
501C2×D4—861no—
502C2×D4—861no—
503C2×D4—861no—
504C2×D4—861no—
505C2×D4C2×C4×D4312yes—
506C2×D4C2×D17212yes—
507C2×D4#1062189812yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—24no—
511C22×C4—21no—
512C22×C4—81no—
513C22×C4—81no—
514C22×C4—431no—
515C22×C4—431no—
516C22×C4—431no—
517C22×C4—431no—
518C22×C4—861no—
519C22×C4—861no—
520C22×C4—861no—
521C22×C4—3441no—
522C22×C4—3441no—
523C22×C4—3441no—
524C22×C4—1722no—
525C22×C4—1722no—
526C22×C4—1722no—
527C22×C4—1722no—
528C22×C4—1722no—
529C22×C4—1722no—
530C22×C4D4×D4311yescharacteristic
531C22×C4D4×D4311yescharacteristic
532C22×C4C23×D4311yescharacteristic
533SD16—868no—
534D8—868no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—432no—
541C2×C8—432no—
542C2×C8—861no—
543C2×C8—861no—
544C2×C8—861no—
545C2×C8—861no—
546C2×C8C2×D17212yes—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—862no—
552C4⋊C4—862no—
553C4⋊C4—861no—
554C4⋊C4—861no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—3441no—
558C4⋊C4—3441no—
559C4⋊C4—1722no—
560C4⋊C4C2×C4×D4312yes—
561C4⋊C4C2×D17212yes—
562C22⋊C4—24no—
563C22⋊C4—864no—
564C22⋊C4—864no—
565C22⋊C4—3441no—
566C22⋊C4—1722no—
567C22⋊C4—1722no—
568C22⋊C4—1722no—
569C22⋊C4—1722no—
570C42—81no—
571C42—861no—
572C42—861no—
573C42—861no—
574C42—861no—
575C42—1722no—
576C42C2×C4×D4312yes—
577C42#1062190012yes—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—862no—
586C23—1721no—
587C23—1721no—
588C23—1721no—
589C23—1721no—
590C23—1721no—
591C23—1721no—
592C23C2×D4×D4311yescharacteristic
593Q8—862no—
594Q8—862no—
595Q8—1721no—
596Q8—1721no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—862no—
601D4—862no—
602D4—1721no—
603D4—1721no—
604D4C4×D17214yes—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—84no—
619C2×C4—432no—
620C2×C4—432no—
621C2×C4—861no—
622C2×C4—861no—
623C2×C4—861no—
624C2×C4—861no—
625C2×C4—862no—
626C2×C4—861no—
627C2×C4—861no—
628C2×C4—861no—
629C2×C4—861no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—3444no—
633C2×C4—3444no—
634C2×C4—3444no—
635C2×C4—1721no—
636C2×C4—1721no—
637C2×C4—1721no—
638C2×C4—1721no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4(C22⋊D43)⋊C412yes—
644C2×C4(C22⋊D43)⋊C412yes—
645C2×C4C22×C4×D4311yescharacteristic
646C2×C4C22×D17211yescharacteristic
647C2×C4C2×#1062190011yescharacteristic
648C2×C4C2×#1062189811yescharacteristic
649C2×C4#1306337111yescharacteristic
650C2×C4#1306337211yescharacteristic
651C8—22no—
652C8—41no—
653C8—862no—
654C8—862no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—3441no—
663C22—3441no—
664C22—3441no—
665C22—3441no—
666C22—1722no—
667C22—1722no—
668C22—1722no—
669C22C2×(C22⋊D43)⋊C411yescharacteristic
670C22D4×D17211yescharacteristic
671C22#1458355811yescharacteristic
672C22#135×D4311yescharacteristic
673C22#135×D4311yescharacteristic
674C22#1458370011yescharacteristic
675C22#1458370511yescharacteristic
676C4—22no—
677C4—22no—
678C4—42no—
679C4—42no—
680C4—81no—
681C4—862no—
682C4—862no—
683C4—3441no—
684C4—3441no—
685C4—1721no—
686C4—1721no—
687C4—1722no—
688C4C2×C4×D17211yescharacteristic
689C4#1458337911yescharacteristic
690C4#1458355311yescharacteristic
691C4#1458359511yescharacteristic
692C2—44no—
693C2—3442no—
694C2#1913760911yescharacteristic
695C2#1914336311yescharacteristic
696C2#1914342111yescharacteristic
697C2#1914628111yescharacteristic
698C2#1914630411yescharacteristic
699C2#1914724511yescharacteristic
700C2#1914725611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC4×#102×C43C2
socleC23×C43C22×D4
prime radicalC22×#10621882C22
cosocleC22×C4×C43C24
hypercenterC4×#102D43
hypocenterC43#22999
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C4×#102

Complements

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

NH ≅ G/Ntype
2. C2×#14582990C2semidirect
4. #19137666C2semidirect
5. #19137505C2semidirect
6. #19135406C2semidirect
7. #19135363C2semidirect
8. #19135279C2semidirect
9. #19135272C2semidirect
11. #19134927C2semidirect
12. #19134857C2semidirect
13. #19134850C2semidirect
14. C8×C4⋊Dic43C2semidirect
15. C4×#102×C43C2semidirect
23. #14583114C4semidirect
69. C2×#10621883C2×C4semidirect
76. #13063313C2×C4semidirect
104. C4⋊(C43⋊C8)C2×C4semidirect
107. #13063248C2×C4semidirect
110. #13063245C2×C4semidirect
126. C4×D4×C43C2×C4semidirect
356. C4×#102D43semidirect
412. C43#22999semidirect
441. C4×D4C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145831142
C2×#145829902
C2×#145829792
#191376662
#191375052
#191354062
#191353632
#191352792
#191352722
#191349412
#191349272
#191348572
#191348502
C8×C4⋊Dic432
C4×#102×C432
#2299943