Finite Group Databasebeta

← #25114873

Subgroups — #25114873

Order 11008.

1122 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×#14583009C211yesmaximal, characteristic
2C2×#14583008C211yesmaximal, characteristic
3C2×#14582979C211yesmaximal, characteristic
4#19137496C211yesmaximal, characteristic, complemented
5D4×Dic43⋊C4C211yesmaximal, characteristic, complemented
6#19135332C211yesmaximal, characteristic, complemented
7#19135330C211yesmaximal, characteristic, complemented
8#19134859C211yesmaximal, characteristic, complemented
9#19134858C211yesmaximal, characteristic, complemented
10#19134853C211yesmaximal, characteristic, complemented
11#19134750C211yesmaximal, characteristic, complemented
12#19134594C211yesmaximal, characteristic, complemented
13#19134593C211yesmaximal, characteristic, complemented
14#19134461C211yesmaximal, characteristic, complemented
15C43×#1864C211yesmaximal, characteristic, complemented
16C22×#10621882C2211yescharacteristic
17C2×C4×D172C2211yescharacteristic
18C2×D4×Dic43C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20C2×#13063287C2211yescharacteristic
21C2×#13063287C2211yescharacteristic
22C22×Dic43⋊C4—21no—
23C2×C4⋊C4×D43—21no—
24#14583009—24no—
25#14583008—24no—
26#14582979C418yescomplemented
27C2×#13063258C2211yescharacteristic
28C2×#13063257C2211yescharacteristic
29C2×#13063256C2211yescharacteristic
30C2×#13063256C2211yescharacteristic
31C2×Dic43⋊C8C2211yescharacteristic
32C2×#13063247C2211yescharacteristic
33C2×#13063247C2211yescharacteristic
34C2×#13063246C2211yescharacteristic
35C2×#13063245C2211yescharacteristic
36C2×#13063236C2211yescharacteristic
37C2×#13063235C2211yescharacteristic
38C2×C8×Dic43C2211yescharacteristic
39#14582798C2211yescharacteristic
40#14582797C2211yescharacteristic
41#14582795C2211yescharacteristic
42#14582773—21no—
43#14582772—21no—
44#14582771—21no—
45#14582770—21no—
46#14582768C2211yescharacteristic
47#14582768C2211yescharacteristic
48#14582758—21no—
49#14582757—21no—
50C4×Dic43⋊C4C2211yescharacteristic
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⋊C4—21no—
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—44no—
94C2×Dic43⋊C4D411yescharacteristic
95C2×Dic43⋊C4D411yescharacteristic
96C4⋊C4×D43—44no—
97C2×C22⋊Dic43—21no—
98C2×C22⋊Dic43—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×C4×Dic43C2311yescharacteristic
103C2×C4×Dic43C2311yescharacteristic
104#13063258C2×C414yescomplemented
105#13063257—41no—
106#13063256—22no—
107#13063256—22no—
108Dic43⋊C8—22no—
109#13063247—22no—
110#13063247C2×C414yescomplemented
111#13063246—22no—
112#13063245—22no—
113#13063236—22no—
114#13063235—22no—
115C8×Dic43C2×C414yescomplemented
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×C43—41no—
127C2×C4⋊C4×C43—21no—
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132C2×C42×C43C2311yescharacteristic
133#106×C43—41no—
134#102×C43—22no—
135#102×C43C2×C414yescomplemented
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×C43C2×Q812yes—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—42no—
149C22×C4×C43—42no—
150C22×C4×C43—81no—
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2411yescharacteristic
154C22×Dic43—24no—
155C22×Dic43—21no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—42no—
159C22×Dic43—42no—
160C22×Dic43—42no—
161C22×Dic43—42no—
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×D172C22×C412yes—
171C2×D172C2×D412yes—
172C2×D172C2×Q812yes—
173C2×C4×D43—24no—
174C2×C4×D43—42no—
175C2×C4×D43—42no—
176C2×C4×D43—42no—
177C2×C4×D43—42no—
178C2×C4×D43—42no—
179C2×C4×D43—42no—
180C2×C4×D43—81no—
181C2×C4×D43—81no—
182C2×C8×C43—21no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43C22×C412yes—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—42no—
194C4⋊C4×C43C22×C412yes—
195C22⋊C4×C43—42no—
196C42×C43—21no—
197C42×C43—21no—
198C22⋊Dic43—24no—
199C22⋊Dic43—42no—
200#10621882C4⋊C4116yescomplemented
201(C2×D43)⋊C4—24no—
202(C2×D43)⋊C4—42no—
203(C2×D43)⋊C4—42no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—42no—
210C4⋊Dic43C22×C412yes—
211Dic43⋊C4—22no—
212Dic43⋊C4—22no—
213Dic43⋊C4—42no—
214Dic43⋊C4—42no—
215Dic43⋊C4—42no—
216Dic43⋊C4—42no—
217Dic43⋊C4—81no—
218Dic43⋊C4—81no—
219C4×Dic43—21no—
220C4×Dic43—21no—
221C4×Dic43C22×C412yes—
222C4×Dic43#4112yes—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8C22×C412yes—
227C2×C43⋊C8C2×D412yes—
228C2×C43⋊C8C2×Q812yes—
229C23×C43—22no—
230C23×C43—22no—
231C23×C43—22no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43C22×D411yescharacteristic
237C22×D43—22no—
238C22×D43—22no—
239C22×D43—22no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244D4×C43—22no—
245D4×C43—22no—
246D4×C43—22no—
247D4×C43C2×C4⋊C414yescomplemented
248C2×C4×C43—22no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—84no—
264C2×C4×C43C23×C411yescharacteristic
265C2×C4×C43C22×D411yescharacteristic
266C2×C4×C43C22×Q811yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43H(5,𝔽2)11yescharacteristic
269C2×C4×C432−1+411yescharacteristic
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—48no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—84no—
289C2×Dic43C4×D412yes—
290C2×Dic43C4×D412yes—
291C2×Dic43AGL(1,ℤ/8)12yes—
292C2×Dic43AGL(1,ℤ/8)12yes—
293D172—22no—
294D172—22no—
295D172—22no—
296D172C2×C4⋊C414yescomplemented
297C4×D43—48no—
298C4×D43—84no—
299C4×D43—84no—
300C8×C43—22no—
301C8×C43—41no—
302C43⋊C8—41no—
303C43⋊C8C2×C4⋊C414yescomplemented
304#22670—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×C43D4×Q811yescharacteristic
315C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
316C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
317C22×C43#57711yescharacteristic
318C22×C43#57711yescharacteristic
319C2×D43—24no—
320C2×D43—42no—
321C2×D43—42no—
322C2×D43—42no—
323C2×D43—42no—
324C2×D43—42no—
325C2×D43—42no—
326C4×C43—42no—
327C4×C43—41no—
328C4×C43—41no—
329C4×C43—81no—
330C4×C43—81no—
331C4×C43C22×C4⋊C411yescharacteristic
332C4×C43#52011yescharacteristic
333C4×C43#54711yescharacteristic
334C4×C43#55411yescharacteristic
335Dic43—22no—
336Dic43—42no—
337Dic43—41no—
338Dic43—41no—
339Dic43—81no—
340Dic43—81no—
341Dic43#44214yescomplemented
342C2×#442—431no—
343C2×#442—431no—
344C2×C4×D8—431no—
345D4×C4⋊C4—431no—
346D4×C4⋊C4—431no—
347#1943—431no—
348#1943—431no—
349#1864—431no—
350#1864—431no—
351#1864—431no—
352#1864D4311yescharacteristic, complemented
353#1844—431no—
354#1802—431no—
355#1802—431no—
356#1770—431no—
357C2×C43—44no—
358C2×C43D4×C4⋊C411yescharacteristic
359C2×C43C2×#44211yescharacteristic
360C2×C43#295211yescharacteristic
361C2×C43#327211yescharacteristic
362C2×C43#327211yescharacteristic
363C2×C43#338411yescharacteristic
364C2×C43#338411yescharacteristic
365D43—44no—
366C22×D8—431no—
367C2×C4×D4—431no—
368C2×C4×D4—431no—
369C2×C4×D4—431no—
370C2×C4×D4—431no—
371C2×C4×D4—431no—
372C2×C4×D4C2×D4311yescharacteristic
373C22×C4⋊C4—861no—
374C22×C4⋊C4—861no—
375#442—864no—
376#442—864no—
377C4×D8—438no—
378C2×#107—431no—
379C2×#106—431no—
380C2×#106—431no—
381C2×#106—431no—
382C2×#106C2×D4311yescharacteristic
383C2×C4⋊C8—431no—
384C2×#102—431no—
385C2×#102—431no—
386C2×#102—431no—
387C2×#102—431no—
388C2×#102C2×D4311yescharacteristic
389C2×#102C2×D4311yescharacteristic
390C2×#97—431no—
391C2×#97—431no—
392C2×C4×C8—431no—
393#389—431no—
394#389—431no—
395#389—431no—
396#389C2×D4311yescharacteristic
397#385—861no—
398#385—861no—
399#385—861no—
400#385—861no—
401#384—431no—
402#384—431no—
403#380—861no—
404#380—861no—
405C4×C4⋊C4—431no—
406#340—431no—
407#340—431no—
408#340—431no—
409#340C2×D4311yescharacteristic
410#336—431no—
411#336C2×D4311yescharacteristic
412C43#2267011yescharacteristic, complemented, Sylow
413C22×D4—431no—
414C22×D4C22×D4311yescharacteristic
415C23×C4—21no—
416C23×C4—861no—
417C23×C4—861no—
418C23×C4—861no—
419C23×C4—861no—
420C23×C4—861no—
421C2×D8—434no—
422C2×D8—434no—
423C2×D8—434no—
424C22×C8—431no—
425C22×C8—431no—
426C22×C8C22×D4311yescharacteristic
427C22×C8C22×D4311yescharacteristic
428C4×D4—22no—
429C4×D4—41no—
430C4×D4—434no—
431C4×D4—434no—
432C4×D4—862no—
433C4×D4—862no—
434C4×D4—862no—
435C4×D4—862no—
436C4×D4—862no—
437C4×D4—1721no—
438C4×D4—1721no—
439C4×D4—1721no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—431no—
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⋊C4—861no—
450C2×C4⋊C4—861no—
451C2×C4⋊C4—861no—
452C2×C4⋊C4—861no—
453C2×C4⋊C4—1724no—
454C2×C4⋊C4—1724no—
455C2×C4⋊C4C22×D4311yescharacteristic
456C2×C4⋊C4C22×D4311yescharacteristic
457C2×C4⋊C4C22×D4311yescharacteristic
458C2×C22⋊C4—21no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C42—431no—
465C2×C42—431no—
466C2×C42C22×D4311yescharacteristic
467#107—434no—
468#106—41no—
469#106—862no—
470#106—862no—
471#106—1721no—
472C4⋊C8—862no—
473#102—22no—
474#102—434no—
475#102—862no—
476#102—862no—
477#102—862no—
478#102C4×D4314yescomplemented
479#97—862no—
480#97—862no—
481C4×C8—434no—
482#95—21no—
483#95—431no—
484#95—431no—
485#95—861no—
486#95—861no—
487#95—861no—
488C24—21no—
489C24—861no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—432no—
494C2×D4—432no—
495C2×D4—432no—
496C2×D4—861no—
497C2×D4—861no—
498C2×D4—861no—
499C2×D4C2×C4×D4312yes—
500C2×D4D4×D4312yes—
501C2×D4Q8×D4312yes—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—81no—
508C22×C4—431no—
509C22×C4—431no—
510C22×C4—431no—
511C22×C4—431no—
512C22×C4—864no—
513C22×C4—864no—
514C22×C4—861no—
515C22×C4—861no—
516C22×C4—861no—
517C22×C4—3441no—
518C22×C4—3441no—
519C22×C4—3441no—
520C22×C4—1722no—
521C22×C4—1722no—
522C22×C4—1722no—
523C22×C4—1722no—
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
533D8—4316no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—432no—
540C2×C8—432no—
541C2×C8—432no—
542C2×C8—861no—
543C2×C8—861no—
544C2×C8—861no—
545C2×C8C2×C4×D4312yes—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—42no—
552C4⋊C4—432no—
553C4⋊C4—862no—
554C4⋊C4—862no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—861no—
560C4⋊C4—3441no—
561C4⋊C4—3441no—
562C4⋊C4—1722no—
563C4⋊C4—1722no—
564C4⋊C4—1722no—
565C4⋊C4—1722no—
566C4⋊C4—1722no—
567C4⋊C4C2×C4×D4312yes—
568C22⋊C4—42no—
569C22⋊C4—864no—
570C22⋊C4—864no—
571C22⋊C4—1722no—
572C22⋊C4—1722no—
573C22⋊C4—1722no—
574C42—21no—
575C42—21no—
576C42—432no—
577C42—432no—
578C42—861no—
579C42—861no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—862no—
588C23—862no—
589C23—862no—
590C23—1721no—
591C23—1721no—
592C23—1721no—
593C23—1721no—
594C23C2×D4×D4311yescharacteristic
595D4—22no—
596D4—22no—
597D4—22no—
598D4—434no—
599D4—862no—
600D4—862no—
601D4—862no—
602D4C4⋊C4×D4314yescomplemented
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—41no—
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—432no—
622C2×C4—432no—
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—1728no—
636C2×C4—1728no—
637C2×C4—1721no—
638C2×C4—1721no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4C22×C4×D4311yescharacteristic
646C2×C4C2×D4×D4311yescharacteristic
647C2×C4C2×Q8×D4311yescharacteristic
648C2×C4#41×D4311yescharacteristic
649C2×C4#1306337011yescharacteristic
650C2×C4#1306337211yescharacteristic
651C8—22no—
652C8—41no—
653C8—434no—
654C8—1721no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—864no—
663C22—1722no—
664C22—1722no—
665C22—1722no—
666C22—1722no—
667C22—1722no—
668C22—1722no—
669C22C4×D4×D4311yescharacteristic
670C22#1458353111yescharacteristic
671C22#1458356211yescharacteristic
672C22AGL(1,ℤ/8)×D4311yescharacteristic
673C22AGL(1,ℤ/8)×D4311yescharacteristic
674C22#1458370511yescharacteristic
675C22#1458370611yescharacteristic
676C4—41no—
677C4—41no—
678C4—42no—
679C4—81no—
680C4—81no—
681C4—434no—
682C4—862no—
683C4—3441no—
684C4—3441no—
685C4—1721no—
686C4—1721no—
687C4—1722no—
688C4C2×C4⋊C4×D4311yescharacteristic
689C4#1458337811yescharacteristic
690C4#1458354711yescharacteristic
691C4#1458360311yescharacteristic
692C2—44no—
693C2—1724no—
694C2#1913749311yescharacteristic
695C2#442×D4311yescharacteristic
696C2#1914347311yescharacteristic
697C2#1914618811yescharacteristic
698C2#1914619311yescharacteristic
699C2#1914748911yescharacteristic
700C2#1914749711yescharacteristic
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#22670
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. #19137496C2semidirect
5. D4×Dic43⋊C4C2semidirect
6. #19135332C2semidirect
7. #19135330C2semidirect
8. #19134859C2semidirect
9. #19134858C2semidirect
10. #19134853C2semidirect
11. #19134750C2semidirect
12. #19134594C2semidirect
13. #19134593C2semidirect
14. #19134461C2semidirect
15. C43×#1864C2semidirect
26. #14582979C4semidirect
78. D4×Dic43C2×C4semidirect
82. #13063287C2×C4semidirect
104. #13063258C2×C4semidirect
110. #13063247C2×C4semidirect
115. C8×Dic43C2×C4semidirect
135. #102×C43C2×C4semidirect
200. #10621882C4⋊C4semidirect
247. D4×C43C2×C4⋊C4semidirect
296. D172C2×C4⋊C4semidirect
303. C43⋊C8C2×C4⋊C4semidirect
341. Dic43#442semidirect
352. #1864D43semidirect
412. C43#22670semidirect
478. #102C4×D43semidirect
602. 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
#191374962
D4×Dic43⋊C42
#191353322
#191353302
#191348592
#191348582
#191348532
#191347502
#191345942
#191345932
#191344612
C43×#18642
#2267043