Finite Group Databasebeta

← #25102894

Subgroups — #25102894

Order 11008.

1124 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583111C211yesmaximal, characteristic
2C2×#14583008C211yesmaximal, characteristic
3C2×#14583002C211yesmaximal, characteristic, complemented
4#124×Dic43C211yesmaximal, characteristic, complemented
5C4×#13063287C211yesmaximal, characteristic, complemented
6#19135363C211yesmaximal, characteristic, complemented
7#19135232C211yesmaximal, characteristic, complemented
8#19135218C211yesmaximal, characteristic, complemented
9#19134940C211yesmaximal, characteristic
10#19134926C211yesmaximal, characteristic, complemented
11#19134606C211yesmaximal, characteristic, complemented
12#19134450C211yesmaximal, characteristic, complemented
13#19134427C211yesmaximal, characteristic, complemented
14#19134422C211yesmaximal, characteristic, complemented
15C43×#1983C211yesmaximal, characteristic, complemented
16C22×#10621884C2211yescharacteristic
17C22×#10621882C2211yescharacteristic
18C2×Q8×Dic43C2211yescharacteristic
19C2×C4×D172C2211yescharacteristic
20C2×D4×Dic43C2211yescharacteristic
21C2×#13063287C2211yescharacteristic
22C2×#13063287C2211yescharacteristic
23C2×C42×D43—21no—
24#14583111C418yescomplemented
25#14583008—24no—
26#14583002—24no—
27C2×#13063258C2211yescharacteristic
28C2×#13063256C2211yescharacteristic
29C2×C4⋊(C43⋊C8)C2211yescharacteristic
30C2×#13063249C2211yescharacteristic
31C2×#13063247C2211yescharacteristic
32C2×#13063247C2211yescharacteristic
33C2×#13063246C2211yescharacteristic
34C2×#13063235C2211yescharacteristic
35C2×#13063235C2211yescharacteristic
36#14582806C2211yescharacteristic
37#14582802C2211yescharacteristic
38#14582792—21no—
39#14582792—21no—
40#14582765C2211yescharacteristic
41C4⋊C4×Dic43C2211yescharacteristic
42C4⋊C4×Dic43C2211yescharacteristic
43C22⋊C4×Dic43—21no—
44C22⋊C4×Dic43—21no—
45C4×(C2×D43)⋊C4—21no—
46#14582746—21no—
47#14582746—21no—
48C42×Dic43C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582653C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×#124×C43C2211yescharacteristic
56C2×C4⋊C8×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C2×#102×C43C2211yescharacteristic
61C4×C4⋊C4×C43C2211yescharacteristic
62C22×D172C2311yescharacteristic
63C23×Dic43—21no—
64C22×C4×D43—21no—
65C22×C4×D43—21no—
66C22×C4×D43—21no—
67C2×#10621884—22no—
68C2×#10621884—22no—
69C2×#10621884C2×C414yescomplemented
70C2×#10621882—22no—
71C2×#10621882—22no—
72C2×#10621882C2×C414yes—
73C22×C43⋊C8C2311yescharacteristic
74C22×C43⋊C8C2311yescharacteristic
75Q8×Dic43—22no—
76Q8×Dic43—22no—
77C4×D172—22no—
78C4×D172C2×C414yescomplemented
79D4×Dic43—22no—
80D4×Dic43—22no—
81#13063287—22no—
82#13063287—22no—
83#13063287—22no—
84#13063287D414yes—
85C2×C4⋊Dic43—21no—
86C2×C4⋊Dic43C2311yescharacteristic
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C22⋊Dic43—21no—
90C2×C22⋊Dic43—21no—
91C2×C22⋊Dic43—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×(C2×D43)⋊C4—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×C4×Dic43—21no—
96C2×C4×Dic43—21no—
97C2×C4×Dic43—21no—
98C2×C4×Dic43D411yescharacteristic
99C2×C4×Dic43D411yescharacteristic
100C2×C4×Dic43D411yescharacteristic
101C2×C4×Dic43D411yescharacteristic
102C2×C4×Dic43C2311yescharacteristic
103C2×C4×Dic43C2311yescharacteristic
104C42×D43—44no—
105#13063258—22no—
106#13063256—22no—
107C4⋊(C43⋊C8)C2×C414yescomplemented
108#13063249C2×C414yescomplemented
109#13063247—22no—
110#13063247—22no—
111#13063246C2×C414yescomplemented
112#13063235—22no—
113#13063235—22no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C22×Q8×C43C2311yescharacteristic
121C22×D4×C43C2311yescharacteristic
122C22×C8×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124#124×C43—22no—
125#124×C43C2×C414yescomplemented
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C22⋊C4×C43—21no—
129C2×C22⋊C4×C43—21no—
130C2×C42×C43—21no—
131C2×C42×C43C2311yescharacteristic
132C4⋊C8×C43—22no—
133#103×C43—22no—
134#103×C43—22no—
135#102×C43—22no—
136#102×C43—22no—
137#95×C43—21no—
138C24×C43—21no—
139C23×D43—21no—
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43C22×C412yes—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43—21no—
150C2×D4×C43—21no—
151C2×D4×C43C22×C412yes—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2411yescharacteristic
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43—42no—
162C22×Dic43—42no—
163C22×Dic43—42no—
164C22×Dic43C2×D411yescharacteristic
165C22×Dic43C2×D411yescharacteristic
166C22×Dic43C2×D411yescharacteristic
167C22×Dic43C2×D411yescharacteristic
168C2×D172—21no—
169C2×D172—21no—
170C2×D172—21no—
171C2×D172C22×C412yes—
172C2×D172C2×D412yes—
173C2×D172#4112yes—
174C2×C4×D43—24no—
175C2×C4×D43—24no—
176C2×C4×D43—24no—
177C2×C4×D43—42no—
178C2×C4×D43—42no—
179C2×C4×D43—42no—
180C2×C4×D43—42no—
181C2×C4×D43—42no—
182C2×C4×D43—42no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43C2×D412yes—
192C4⋊C4×C43#4112yes—
193C22⋊C4×C43—24no—
194C22⋊C4×C43—24no—
195C42×C43—42no—
196C42×C43C22×C412yes—
197C42×C43#4112yes—
198C22⋊Dic43—42no—
199C22⋊Dic43—42no—
200C22⋊Dic43—42no—
201#10621884—28no—
202#10621882—28no—
203(C2×D43)⋊C4—24no—
204(C2×D43)⋊C4—24no—
205(C2×D43)⋊C4—24no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—42no—
212C4⋊Dic43C22×C412yes—
213C4×Dic43—21no—
214C4×Dic43—21no—
215C4×Dic43—22no—
216C4×Dic43—41no—
217C4×Dic43—41no—
218C4×Dic43—41no—
219C4×Dic43—42no—
220C4×Dic43—42no—
221C4×Dic43—42no—
222C4×Dic43C2×D412yes—
223C4×Dic43#4112yes—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8C22×C412yes—
229C2×C43⋊C8C22×C412yes—
230C23×C43—22no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43C22×D411yescharacteristic
238C22×D43—22no—
239C22×D43—22no—
240C22×D43—22no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245Q8×C43—22no—
246Q8×C43—22no—
247Q8×C43—41no—
248Q8×C43—41no—
249D4×C43—22no—
250D4×C43—22no—
251D4×C43—41no—
252D4×C43—41no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43C4×D412yes—
267C2×C4×C43C4×D412yes—
268C2×C4×C43C23×C411yescharacteristic
269C2×C4×C43C22×D411yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C2×C4×C43C2×#4111yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—22no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—84no—
293C2×Dic43#12112yes—
294C2×Dic43#12112yes—
295C2×Dic43AGL(1,ℤ/8)12yes—
296D172—22no—
297D172—22no—
298D172—22no—
299D172C4×D414yes—
300C4×D43—48no—
301C4×D43—48no—
302C4×D43—48no—
303C8×C43—41no—
304C8×C43—41no—
305C43⋊C8—22no—
306C43⋊C8—22no—
307#21507—431nomaximal, Sylow
308C22×C43—42no—
309C22×C43—42no—
310C22×C43—42no—
311C22×C43—81no—
312C22×C43—81no—
313C22×C43—81no—
314C22×C43—81no—
315C22×C43C2×C4×D411yescharacteristic
316C22×C43C2×#12111yescharacteristic
317C22×C43#52511yescharacteristic
318C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
319C22×C43#57511yescharacteristic
320C22×C43#57511yescharacteristic
321C22×C43#57511yescharacteristic
322C2×D43—24no—
323C2×D43—42no—
324C2×D43—42no—
325C2×D43—42no—
326C2×D43—42no—
327C2×D43—42no—
328C2×D43—42no—
329C4×C43—22no—
330C4×C43—22no—
331C4×C43—42no—
332C4×C43—42no—
333C4×C43—42no—
334C4×C43C2×C4×D411yescharacteristic
335C4×C43C4×#4111yescharacteristic
336C4×C43#52911yescharacteristic
337C4×C43#53211yescharacteristic
338Dic43—22no—
339Dic43—22no—
340Dic43—22no—
341Dic43—41no—
342Dic43—42no—
343Dic43—81no—
344Dic43—81no—
345C2×#463—431no—
346C2×#442—431no—
347C2×#440—431no—
348C4×#124—431no—
349C42×D4—431no—
350#1983D4311yescharacteristic, complemented
351#1949—431no—
352#1927—431no—
353#1925—431no—
354#1879—431no—
355#1877—431no—
356#1804—431no—
357#1767—431no—
358#1763—431no—
359#1762—431no—
360C2×C43—82no—
361C2×C43C4×#12111yescharacteristic
362C2×C43#294311yescharacteristic
363C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
364C2×C43#303611yescharacteristic
365C2×C43#304011yescharacteristic
366C2×C43#311111yescharacteristic
367C2×C43#311411yescharacteristic
368D43—44no—
369C22×SD16—431no—
370C22×D8—431no—
371C2×#124C2×D4311yescharacteristic
372C2×C4×Q8—431no—
373C2×C4×D4—431no—
374C2×C4×D4—431no—
375C2×C4×D4—431no—
376C2×C4×D4—431no—
377C22×C42—861no—
378#463—438no—
379#442—864no—
380#440—864no—
381C2×#107—431no—
382C2×#106—431no—
383C2×C4⋊C8—431no—
384C2×C4⋊C8C2×D4311yescharacteristic
385C2×#103—431no—
386C2×#103C2×D4311yescharacteristic
387C2×#103C2×D4311yescharacteristic
388C2×#102—431no—
389C2×#102—431no—
390C2×#102—431no—
391C2×#102C2×D4311yescharacteristic
392C2×#102C2×D4311yescharacteristic
393C2×#97—431no—
394C2×#97—431no—
395#391—431no—
396#390—431no—
397#388—861no—
398#388—861no—
399#382—431no—
400C4×C4⋊C4—431no—
401C4×C4⋊C4—431no—
402C4×C4⋊C4C2×D4311yescharacteristic
403C4×C22⋊C4—861no—
404C4×C22⋊C4—861no—
405C4×C22⋊C4—861no—
406C4×C22⋊C4—861no—
407C4×C22⋊C4—861no—
408C43—431no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#336—431no—
414#336—431no—
415C43#2150711yescharacteristic, complemented, Sylow
416C22×Q8C22×D4311yescharacteristic
417C22×D4—431no—
418C22×D4C22×D4311yescharacteristic
419C23×C4—861no—
420C23×C4—861no—
421C23×C4—861no—
422C23×C4—861no—
423C2×SD16—434no—
424C2×SD16—862no—
425C2×SD16—862no—
426C2×D8—434no—
427C2×D8—862no—
428C2×D8—862no—
429C22×C8—431no—
430C22×C8—431no—
431C22×C8C22×D4311yescharacteristic
432C22×C8C22×D4311yescharacteristic
433#124—22no—
434#124C4×D4314yescomplemented
435C4×Q8—862no—
436C4×Q8—862no—
437C4×D4—434no—
438C4×D4—434no—
439C4×D4—862no—
440C4×D4—862no—
441C4×D4—862no—
442C4×D4—862no—
443C4×D4—862no—
444C4×D4—862no—
445C2×C4⋊C4—431no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—861no—
449C2×C4⋊C4C22×D4311yescharacteristic
450C2×C4⋊C4C22×D4311yescharacteristic
451C2×C22⋊C4—21no—
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×C42—21no—
460C2×C42—431no—
461C2×C42—431no—
462C2×C42—431no—
463C2×C42—431no—
464C2×C42—431no—
465C2×C42—431no—
466C2×C42—861no—
467C2×C42—861no—
468C2×C42—861no—
469C2×C42—1724no—
470C2×C42C22×D4311yescharacteristic
471#107—862no—
472#106—862no—
473C4⋊C8—22no—
474C4⋊C8—434no—
475#103—22no—
476#103—22no—
477#103—434no—
478#102—22no—
479#102—22no—
480#102—434no—
481#102—862no—
482#102—862no—
483#97—862no—
484#97—862no—
485#95—21no—
486#95—861no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492C24—21no—
493C24—861no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D4312yes—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—432no—
506C2×D4—432no—
507C2×D4—432no—
508C2×D4—861no—
509C2×D4—861no—
510C2×D4—861no—
511C2×D4C2×C4×D4312yes—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—431no—
516C22×C4—431no—
517C22×C4—431no—
518C22×C4—431no—
519C22×C4—864no—
520C22×C4—864no—
521C22×C4—861no—
522C22×C4—864no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—1722no—
526C22×C4—1722no—
527C22×C4—1722no—
528C22×C4—1722no—
529C22×C4—1722no—
530C22×C4—1722no—
531C22×C4—1722no—
532C22×C4—1722no—
533C22×C4—1722no—
534C22×C4D4×D4311yescharacteristic
535C22×C4D4×D4311yescharacteristic
536C22×C4C23×D4311yescharacteristic
537SD16—868no—
538D8—868no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—432no—
546C2×C8—432no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—861no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—432no—
554C4⋊C4—861no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—1722no—
560C4⋊C4D4×D4312yes—
561C4⋊C4#1062190012yes—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—864no—
565C22⋊C4—864no—
566C22⋊C4—864no—
567C22⋊C4—1722no—
568C22⋊C4—1722no—
569C22⋊C4—1722no—
570C42—42no—
571C42—432no—
572C42—432no—
573C42—862no—
574C42—861no—
575C42—861no—
576C42—1721no—
577C42—1721no—
578C42—1721no—
579C42—1722no—
580C42—1722no—
581C42—1722no—
582C42C2×C4×D4312yes—
583C42#1062190012yes—
584C23—22no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—862no—
592C23—862no—
593C23—862no—
594C23—1721no—
595C23—1721no—
596C23—1721no—
597C23—1721no—
598C23C2×D4×D4311yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—22no—
604D4—22no—
605D4—41no—
606D4—41no—
607D4—434no—
608D4—862no—
609D4—862no—
610D4—862no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—432no—
625C2×C4—432no—
626C2×C4—432no—
627C2×C4—861no—
628C2×C4—861no—
629C2×C4—861no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—861no—
633C2×C4—862no—
634C2×C4—861no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—3444no—
638C2×C4—1728no—
639C2×C4—1728no—
640C2×C4—1728no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4(C22⋊D43)⋊C412yes—
650C2×C4(C22⋊D43)⋊C412yes—
651C2×C4C22×C4×D4311yescharacteristic
652C2×C4C2×D4×D4311yescharacteristic
653C2×C4#41×D4311yescharacteristic
654C2×C4#41×D4311yescharacteristic
655C2×C4C2×#1062190011yescharacteristic
656C2×C4C2×#1062190011yescharacteristic
657C8—41no—
658C8—41no—
659C8—862no—
660C8—862no—
661C22—42no—
662C22—42no—
663C22—42no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—864no—
669C22—1722no—
670C22—1722no—
671C22—1722no—
672C22—1722no—
673C22—1722no—
674C22—1722no—
675C22C2×(C22⋊D43)⋊C411yescharacteristic
676C22#121×D4311yescharacteristic
677C22#1458340911yescharacteristic
678C22AGL(1,ℤ/8)×D4311yescharacteristic
679C22#1458369611yescharacteristic
680C22#1458369611yescharacteristic
681C22#1458369811yescharacteristic
682C4—22no—
683C4—22no—
684C4—42no—
685C4—42no—
686C4—42no—
687C4—862no—
688C4—862no—
689C4—862no—
690C4—3441no—
691C4—3441no—
692C4—1722no—
693C4—1721no—
694C4C4×D4×D4311yescharacteristic
695C4C4×#1062190011yescharacteristic
696C4#1458342811yescharacteristic
697C4#1458344711yescharacteristic
698C2—82no—
699C2—1724no—
700C2#1913711111yescharacteristic
701C2#1914339111yescharacteristic
702C2#1914340811yescharacteristic
703C2#1914405711yescharacteristic
704C2#1914408611yescharacteristic
705C2#1914470311yescharacteristic
706C2#1914473211yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1983C2
socleC23×C43C22×D4
prime radicalC22×#10621882C22
cosocleC22×C4×C43C24
hypercenter#1983D43
hypocenterC43#21507
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1983

Complements

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

NH ≅ G/Ntype
3. C2×#14583002C2semidirect
4. #124×Dic43C2semidirect
5. C4×#13063287C2semidirect
6. #19135363C2semidirect
7. #19135232C2semidirect
8. #19135218C2semidirect
10. #19134926C2semidirect
11. #19134606C2semidirect
12. #19134450C2semidirect
13. #19134427C2semidirect
14. #19134422C2semidirect
15. C43×#1983C2semidirect
24. #14583111C4semidirect
69. C2×#10621884C2×C4semidirect
78. C4×D172C2×C4semidirect
107. C4⋊(C43⋊C8)C2×C4semidirect
108. #13063249C2×C4semidirect
111. #13063246C2×C4semidirect
125. #124×C43C2×C4semidirect
350. #1983D43semidirect
415. C43#21507semidirect
434. #124C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145831112
C2×#145830082
C2×#145830022
#124×Dic432
C4×#130632872
#191353632
#191352322
#191352182
#191349402
#191349262
#191346062
#191344502
#191344272
#191344222
C43×#19832
#2150743