Finite Group Databasebeta

← #25114935

Subgroups — #25114935

Order 11008.

1086 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583009C211yesmaximal, characteristic
2C2×#14583008C211yesmaximal, characteristic
3C2×#14582979C211yesmaximal, characteristic
4#19137500C211yesmaximal, characteristic, complemented
5#19137496C211yesmaximal, characteristic, complemented
6#19135335C211yesmaximal, characteristic, complemented
7#19135322C211yesmaximal, characteristic, complemented
8#19134853C211yesmaximal, characteristic, complemented
9#19134845C211yesmaximal, characteristic, complemented
10#19134844C211yesmaximal, characteristic, complemented
11#19134760C211yesmaximal, characteristic, complemented
12#19134604C211yesmaximal, characteristic, complemented
13#19134593C211yesmaximal, characteristic, complemented
14#19134468C211yesmaximal, characteristic, complemented
15C43×#1864C211yesmaximal, characteristic, complemented
16C22×#10621882C2211yescharacteristic
17C2×C4×D172C2211yescharacteristic
18C2×D4×Dic43C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20C2×#13063287C2211yescharacteristic
21C2×#13063287C2211yescharacteristic
22C2×C4⋊C4×D43—21no—
23#14583009—24no—
24#14583008C418yescomplemented
25#14582979—24no—
26C2×#13063259C2211yescharacteristic
27C2×#13063258C2211yescharacteristic
28C2×#13063256C2211yescharacteristic
29C2×#13063256C2211yescharacteristic
30C2×Dic43⋊C8C2211yescharacteristic
31C2×#13063247C2211yescharacteristic
32C2×#13063247C2211yescharacteristic
33C2×#13063246C2211yescharacteristic
34C2×#13063245C2211yescharacteristic
35C2×#13063236C2211yescharacteristic
36C2×#13063235C2211yescharacteristic
37C2×C8×Dic43C2211yescharacteristic
38#14582798C2211yescharacteristic
39#14582797C2211yescharacteristic
40#14582795C2211yescharacteristic
41#14582773—21no—
42#14582772—21no—
43#14582771—21no—
44#14582770—21no—
45#14582768C2211yescharacteristic
46#14582764C2211yescharacteristic
47#14582758—21no—
48#14582757—21no—
49C4×Dic43⋊C4C2211yescharacteristic
50C2×C43⋊#95—21no—
51#14582662C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic
56C2×#106×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C43×#389C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#336C2211yescharacteristic
62C22×D172C2311yescharacteristic
63C23×Dic43—21no—
64C23×Dic43—21no—
65C22×C4×D43—21no—
66C22×C4×D43—21no—
67C22×C4×D43—21no—
68C2×#10621882C2×C414yes—
69C2×#10621882D414yes—
70C2×#10621882Q814yes—
71C22×C43⋊C8C2311yescharacteristic
72C22×C43⋊C8C2311yescharacteristic
73C4×D172—22no—
74C4×D172—41no—
75D4×Dic43—22no—
76D4×Dic43—22no—
77D4×Dic43—41no—
78D4×Dic43C2×C414yescomplemented
79#13063287—22no—
80#13063287—22no—
81#13063287—41no—
82#13063287C2×C414yescomplemented
83C2×C4⋊Dic43—21no—
84C2×C4⋊Dic43C2311yescharacteristic
85C2×C4⋊Dic43C2311yescharacteristic
86C2×C4⋊Dic43C2311yescharacteristic
87C2×Dic43⋊C4—21no—
88C2×Dic43⋊C4—21no—
89C2×Dic43⋊C4—21no—
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4D411yescharacteristic
92C2×Dic43⋊C4D411yescharacteristic
93C4⋊C4×D43—44no—
94C2×C22⋊Dic43—21no—
95C2×C22⋊Dic43—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×C4×Dic43C2311yescharacteristic
100C2×C4×Dic43C2311yescharacteristic
101#13063259—41no—
102#13063258—22no—
103#13063256—22no—
104#13063256C2×C414yescomplemented
105Dic43⋊C8—22no—
106#13063247—22no—
107#13063247C2×C414yescomplemented
108#13063246—22no—
109#13063245—22no—
110#13063236—22no—
111#13063235C2×C414yescomplemented
112C8×Dic43—22no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95D411yescharacteristic
119C43⋊#95D411yescharacteristic
120C22×D4×C43C2311yescharacteristic
121C23×C4×C43—21no—
122C22×C8×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124C4×D4×C43—22no—
125C4×D4×C43—41no—
126C2×C4⋊C4×C43—21no—
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C22⋊C4×C43—21no—
131C2×C42×C43C2311yescharacteristic
132#106×C43—41no—
133#102×C43—22no—
134#102×C43C2×C414yescomplemented
135#95×C43—21no—
136C24×C43—21no—
137C23×D43—21no—
138C2×D4×C43—21no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43C22×C412yes—
142C2×D4×C43C2×D412yes—
143C2×D4×C43C2×Q812yes—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—42no—
148C22×C4×C43—42no—
149C22×C4×C43—81no—
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2411yescharacteristic
153C22×Dic43—24no—
154C22×Dic43—21no—
155C22×Dic43—21no—
156C22×Dic43—21no—
157C22×Dic43—42no—
158C22×Dic43—42no—
159C22×Dic43—81no—
160C22×Dic43—81no—
161C22×Dic43—81no—
162C22×Dic43C2×D411yescharacteristic
163C22×Dic43C2×D411yescharacteristic
164C22×Dic43C2×D411yescharacteristic
165C22×Dic43C2×D411yescharacteristic
166C2×D172—21no—
167C2×D172—21no—
168C2×D172—21no—
169C2×D172C22×C412yes—
170C2×D172C2×D412yes—
171C2×D172C2×Q812yes—
172C2×C4×D43—24no—
173C2×C4×D43—42no—
174C2×C4×D43—42no—
175C2×C4×D43—42no—
176C2×C4×D43—42no—
177C2×C4×D43—42no—
178C2×C4×D43—42no—
179C2×C4×D43—81no—
180C2×C4×D43—81no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43C22×C412yes—
187C4⋊C4×C43—21no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—42no—
193C4⋊C4×C43C22×C412yes—
194C22⋊C4×C43—42no—
195C42×C43—21no—
196C42×C43—21no—
197C22⋊Dic43—24no—
198C22⋊Dic43—42no—
199#10621882C4⋊C4116yescomplemented
200(C2×D43)⋊C4—24no—
201(C2×D43)⋊C4—42no—
202(C2×D43)⋊C4—42no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—42no—
209C4⋊Dic43C22×C412yes—
210Dic43⋊C4—22no—
211Dic43⋊C4—41no—
212Dic43⋊C4—42no—
213Dic43⋊C4—81no—
214Dic43⋊C4—81no—
215Dic43⋊C4—81no—
216C4×Dic43—21no—
217C4×Dic43—21no—
218C4×Dic43C22×C412yes—
219C4×Dic43#4112yes—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8C22×C412yes—
224C2×C43⋊C8C2×D412yes—
225C2×C43⋊C8C2×Q812yes—
226C23×C43—22no—
227C23×C43—22no—
228C23×C43—22no—
229C23×C43—41no—
230C23×C43—41no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43C22×D411yescharacteristic
234C22×D43—22no—
235C22×D43—22no—
236C22×D43—22no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241D4×C43—22no—
242D4×C43—22no—
243D4×C43—22no—
244D4×C43C2×C4⋊C414yescomplemented
245C2×C4×C43—22no—
246C2×C4×C43—21no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
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—41no—
260C2×C4×C43—84no—
261C2×C4×C43C23×C411yescharacteristic
262C2×C4×C43C22×D411yescharacteristic
263C2×C4×C43C22×Q811yescharacteristic
264C2×C4×C43C2×#4111yescharacteristic
265C2×C4×C43H(5,𝔽2)11yescharacteristic
266C2×C4×C432−1+411yescharacteristic
267C2×Dic43—21no—
268C2×Dic43—21no—
269C2×Dic43—21no—
270C2×Dic43—21no—
271C2×Dic43—21no—
272C2×Dic43—21no—
273C2×Dic43—22no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—41no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—84no—
286C2×Dic43—84no—
287C2×Dic43C4×D412yes—
288C2×Dic43C4×D412yes—
289C2×Dic43AGL(1,ℤ/8)12yes—
290D172—22no—
291D172—22no—
292D172—22no—
293D172C2×C4⋊C414yes—
294C4×D43—48no—
295C4×D43—84no—
296C4×D43—84no—
297C8×C43—22no—
298C8×C43—41no—
299C43⋊C8—41no—
300C43⋊C8C2×C4⋊C414yescomplemented
301#22676—431nomaximal, Sylow
302C22×C43—24no—
303C22×C43—42no—
304C22×C43—42no—
305C22×C43—42no—
306C22×C43—42no—
307C22×C43—42no—
308C22×C43—42no—
309C22×C43C2×C4×D411yescharacteristic
310C22×C43D4211yescharacteristic
311C22×C43D4×Q811yescharacteristic
312C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
313C22×C43#57511yescharacteristic
314C22×C43#57611yescharacteristic
315C22×C43#57711yescharacteristic
316C2×D43—24no—
317C2×D43—42no—
318C2×D43—42no—
319C2×D43—42no—
320C2×D43—42no—
321C2×D43—42no—
322C2×D43—42no—
323C4×C43—42no—
324C4×C43—41no—
325C4×C43—41no—
326C4×C43—81no—
327C4×C43—81no—
328C4×C43C22×C4⋊C411yescharacteristic
329C4×C43#52011yescharacteristic
330C4×C43#54711yescharacteristic
331C4×C43#55411yescharacteristic
332Dic43—22no—
333Dic43—22no—
334Dic43—22no—
335Dic43—42no—
336Dic43—41no—
337Dic43—81no—
338Dic43—81no—
339C2×#442—431no—
340C2×#442—431no—
341C2×C4×D8—431no—
342#2349—431no—
343D4×C4⋊C4—431no—
344#1944—431no—
345#1941—431no—
346#1864—431no—
347#1864D4311yescharacteristic, complemented
348#1862—431no—
349#1862—431no—
350#1847—431no—
351#1804—431no—
352#1802—431no—
353#1771—431no—
354C2×C43—44no—
355C2×C43D4×C4⋊C411yescharacteristic
356C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
357C2×C43#294611yescharacteristic
358C2×C43#326411yescharacteristic
359C2×C43#326711yescharacteristic
360C2×C43#338411yescharacteristic
361C2×C43#338911yescharacteristic
362D43—44no—
363C22×D8—431no—
364C2×C4×D4—431no—
365C2×C4×D4—431no—
366C2×C4×D4—431no—
367C2×C4×D4—431no—
368C2×C4×D4—431no—
369C2×C4×D4C2×D4311yescharacteristic
370C22×C4⋊C4—861no—
371#442—438no—
372#442—864no—
373C4×D8—864no—
374C2×#107—431no—
375C2×#107—431no—
376C2×#106—431no—
377C2×#106—431no—
378C2×#106C2×D4311yescharacteristic
379C2×C4⋊C8—431no—
380C2×#102—431no—
381C2×#102—431no—
382C2×#102—431no—
383C2×#102—431no—
384C2×#102C2×D4311yescharacteristic
385C2×#102C2×D4311yescharacteristic
386C2×#97—431no—
387C2×#97—431no—
388C2×C4×C8—431no—
389#389—431no—
390#389—431no—
391#389—431no—
392#389C2×D4311yescharacteristic
393#385—861no—
394#385—861no—
395#385—861no—
396#385—861no—
397#384—431no—
398#382—431no—
399#380—861no—
400#380—861no—
401C4×C4⋊C4—431no—
402C2×#95—861no—
403#340—431no—
404#340—431no—
405#340—431no—
406#340C2×D4311yescharacteristic
407#336—431no—
408#336C2×D4311yescharacteristic
409C43#2267611yescharacteristic, complemented, Sylow
410C22×D4—431no—
411C22×D4C22×D4311yescharacteristic
412C23×C4—21no—
413C23×C4—861no—
414C23×C4—861no—
415C23×C4—861no—
416C23×C4—861no—
417C23×C4—861no—
418C2×D8—434no—
419C2×D8—434no—
420C2×D8—434no—
421C22×C8—431no—
422C22×C8—431no—
423C22×C8C22×D4311yescharacteristic
424C22×C8C22×D4311yescharacteristic
425C4×D4—22no—
426C4×D4—41no—
427C4×D4—434no—
428C4×D4—434no—
429C4×D4—862no—
430C4×D4—862no—
431C4×D4—862no—
432C4×D4—862no—
433C4×D4—862no—
434C4×D4—1721no—
435C4×D4—1721no—
436C4×D4—1721no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—431no—
439C2×C4⋊C4—431no—
440C2×C4⋊C4—431no—
441C2×C4⋊C4—431no—
442C2×C4⋊C4—431no—
443C2×C4⋊C4—861no—
444C2×C4⋊C4—861no—
445C2×C4⋊C4—861no—
446C2×C4⋊C4—861no—
447C2×C4⋊C4—861no—
448C2×C4⋊C4—1724no—
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×C42—431no—
459C2×C42—431no—
460C2×C42C22×D4311yescharacteristic
461#107—862no—
462#107—1721no—
463#106—41no—
464#106—434no—
465#106—862no—
466C4⋊C8—862no—
467#102—22no—
468#102—434no—
469#102—862no—
470#102—862no—
471#102—862no—
472#102C4×D4314yescomplemented
473#97—434no—
474#97—862no—
475C4×C8—862no—
476#95—21no—
477#95—431no—
478#95—431no—
479#95—861no—
480#95—861no—
481#95—861no—
482#95—861no—
483#95—861no—
484C24—21no—
485C24—861no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—432no—
490C2×D4—432no—
491C2×D4—432no—
492C2×D4—861no—
493C2×D4—861no—
494C2×D4—861no—
495C2×D4C2×C4×D4312yes—
496C2×D4D4×D4312yes—
497C2×D4Q8×D4312yes—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—81no—
504C22×C4—431no—
505C22×C4—431no—
506C22×C4—431no—
507C22×C4—431no—
508C22×C4—864no—
509C22×C4—864no—
510C22×C4—861no—
511C22×C4—861no—
512C22×C4—861no—
513C22×C4—3441no—
514C22×C4—3441no—
515C22×C4—3441no—
516C22×C4—3441no—
517C22×C4—3441no—
518C22×C4—1722no—
519C22×C4—1722no—
520C22×C4—1722no—
521C22×C4—1722no—
522C22×C4—1722no—
523C22×C4—1722no—
524C22×C4—1722no—
525C22×C4—1722no—
526C22×C4D4×D4311yescharacteristic
527C22×C4D4×D4311yescharacteristic
528C22×C4C23×D4311yescharacteristic
529D8—4316no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—432no—
536C2×C8—432no—
537C2×C8—432no—
538C2×C8—861no—
539C2×C8—861no—
540C2×C8—861no—
541C2×C8C2×C4×D4312yes—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—42no—
548C4⋊C4—432no—
549C4⋊C4—862no—
550C4⋊C4—861no—
551C4⋊C4—861no—
552C4⋊C4—861no—
553C4⋊C4—861no—
554C4⋊C4—861no—
555C4⋊C4—3441no—
556C4⋊C4—3441no—
557C4⋊C4—3441no—
558C4⋊C4—1721no—
559C4⋊C4—1722no—
560C4⋊C4—1722no—
561C4⋊C4C2×C4×D4312yes—
562C22⋊C4—42no—
563C22⋊C4—864no—
564C22⋊C4—864no—
565C22⋊C4—1722no—
566C22⋊C4—1722no—
567C22⋊C4—1722no—
568C42—21no—
569C42—21no—
570C42—432no—
571C42—432no—
572C42—861no—
573C42—861no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—862no—
582C23—862no—
583C23—862no—
584C23—1721no—
585C23—1721no—
586C23—1721no—
587C23—1721no—
588C23C2×D4×D4311yescharacteristic
589D4—22no—
590D4—22no—
591D4—22no—
592D4—434no—
593D4—862no—
594D4—862no—
595D4—862no—
596D4C4⋊C4×D4314yescomplemented
597C2×C4—22no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
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—432no—
614C2×C4—432no—
615C2×C4—432no—
616C2×C4—861no—
617C2×C4—861no—
618C2×C4—861no—
619C2×C4—861no—
620C2×C4—861no—
621C2×C4—861no—
622C2×C4—862no—
623C2×C4—861no—
624C2×C4—861no—
625C2×C4—861no—
626C2×C4—3444no—
627C2×C4—3444no—
628C2×C4—3444no—
629C2×C4—3444no—
630C2×C4—1728no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4—1721no—
634C2×C4—1721no—
635C2×C4—1721no—
636C2×C4—1721no—
637C2×C4—1721no—
638C2×C4—1721no—
639C2×C4C22×C4×D4311yescharacteristic
640C2×C4C2×D4×D4311yescharacteristic
641C2×C4C2×Q8×D4311yescharacteristic
642C2×C4#41×D4311yescharacteristic
643C2×C4#1306337011yescharacteristic
644C2×C4#1306337211yescharacteristic
645C8—22no—
646C8—41no—
647C8—434no—
648C8—1721no—
649C22—24no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—864no—
657C22—1722no—
658C22—1722no—
659C22—1722no—
660C22—1722no—
661C22—1722no—
662C22—1722no—
663C22C4×D4×D4311yescharacteristic
664C22#1458353111yescharacteristic
665C22#1458356211yescharacteristic
666C22AGL(1,ℤ/8)×D4311yescharacteristic
667C22#1458369511yescharacteristic
668C22#1458370111yescharacteristic
669C22#1458370511yescharacteristic
670C4—41no—
671C4—41no—
672C4—42no—
673C4—81no—
674C4—81no—
675C4—862no—
676C4—862no—
677C4—862no—
678C4—3441no—
679C4—3441no—
680C4—1721no—
681C4—1722no—
682C4C2×C4⋊C4×D4311yescharacteristic
683C4#1458337811yescharacteristic
684C4#1458354711yescharacteristic
685C4#1458360311yescharacteristic
686C2—44no—
687C2—1724no—
688C2#1913749311yescharacteristic
689C2#1914340611yescharacteristic
690C2#1914342211yescharacteristic
691C2#1914607811yescharacteristic
692C2#1914611811yescharacteristic
693C2#1914748911yescharacteristic
694C2#1914755211yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1864C2
socleC23×C43C22×D4
prime radicalC22×#10621882C22
cosocleC22×C4×C43C24
hypercenter#1864D43
hypocenterC43#22676
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1864

Complements

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

NH ≅ G/Ntype
4. #19137500C2semidirect
5. #19137496C2semidirect
6. #19135335C2semidirect
7. #19135322C2semidirect
8. #19134853C2semidirect
9. #19134845C2semidirect
10. #19134844C2semidirect
11. #19134760C2semidirect
12. #19134604C2semidirect
13. #19134593C2semidirect
14. #19134468C2semidirect
15. C43×#1864C2semidirect
24. #14583008C4semidirect
78. D4×Dic43C2×C4semidirect
82. #13063287C2×C4semidirect
104. #13063256C2×C4semidirect
107. #13063247C2×C4semidirect
111. #13063235C2×C4semidirect
134. #102×C43C2×C4semidirect
199. #10621882C4⋊C4semidirect
244. D4×C43C2×C4⋊C4semidirect
300. C43⋊C8C2×C4⋊C4semidirect
347. #1864D43semidirect
409. C43#22676semidirect
472. #102C4×D43semidirect
596. D4C4⋊C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830092
C2×#145830082
C2×#145829792
#191375002
#191374962
#191353352
#191353222
#191348532
#191348452
#191348442
#191347602
#191346042
#191345932
#191344682
C43×#18642
#2267643