Finite Group Databasebeta

← #25118886

Subgroups — #25118886

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×#14583112C211yesmaximal, characteristic
2C2×#14582990C211yesmaximal, characteristic, complemented
3#19137668C211yesmaximal, characteristic, complemented
4#19137500C211yesmaximal, characteristic, complemented
5#19135405C211yesmaximal, characteristic, complemented
6#19135360C211yesmaximal, characteristic, complemented
7#19135275C211yesmaximal, characteristic, complemented
8#19135271C211yesmaximal, characteristic, complemented
9#19134945C211yesmaximal, characteristic
10#19134929C211yesmaximal, characteristic, complemented
11#19134856C211yesmaximal, characteristic, complemented
12#19134846C211yesmaximal, characteristic, complemented
13C8×Dic43⋊C4C211yesmaximal, characteristic, complemented
14#102×Dic43C211yesmaximal, characteristic, complemented
15C2×C4×D8×C43C211yesmaximal, characteristic
16C22×#10621883C2211yescharacteristic
17C2×#13063312C2211yescharacteristic
18C2×#13063290C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20C2×D4×Dic43C2211yescharacteristic
21#14583112C418yescomplemented
22#14582990—24no—
23C2×#13063256C2211yescharacteristic
24C2×Dic43⋊C8C2211yescharacteristic
25C2×#13063250C2211yescharacteristic
26C2×#13063250C2211yescharacteristic
27C2×#13063248C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×#13063246C2211yescharacteristic
30C2×#13063246C2211yescharacteristic
31C2×C8×Dic43C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33#14582805C2211yescharacteristic
34#14582802C2211yescharacteristic
35#14582797C2211yescharacteristic
36#14582795C2211yescharacteristic
37#14582793—21no—
38#14582787—21no—
39#14582772—21no—
40#14582772—21no—
41#14582771—21no—
42#14582764C2211yescharacteristic
43#14582757—21no—
44C4⋊C4×Dic43C2211yescharacteristic
45C4×Dic43⋊C4C2211yescharacteristic
46C4×C22⋊Dic43—21no—
47C2×C43⋊#95—21no—
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582654C2211yescharacteristic
53#14582653C2211yescharacteristic
54C22×D8×C43C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic
56C2×C4×D4×C43C2211yescharacteristic
57C4×D8×C43—24no—
58C2×#107×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C2×#102×C43C2211yescharacteristic
61C2×C4×C8×C43C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C23×Dic43—21no—
64C23×Dic43—21no—
65C2×#10621883—22no—
66C2×#10621883—22no—
67C2×#10621883C2×C414yescomplemented
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70#13063312—22no—
71#13063312C2×C414yescomplemented
72#13063290—22no—
73#13063290—41no—
74D4×Dic43—22no—
75D4×Dic43—22no—
76D4×Dic43—41no—
77D4×Dic43C2×C414yescomplemented
78C2×C4⋊Dic43C2311yescharacteristic
79C2×C4⋊Dic43C2311yescharacteristic
80C2×C4⋊Dic43C2311yescharacteristic
81C2×Dic43⋊C4—21no—
82C2×Dic43⋊C4—21no—
83C2×Dic43⋊C4—21no—
84C2×Dic43⋊C4D411yescharacteristic
85C2×Dic43⋊C4D411yescharacteristic
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×C22⋊Dic43—21no—
91C2×C22⋊Dic43—21no—
92C2×C4×Dic43—21no—
93C2×C4×Dic43—21no—
94C2×C4×Dic43C2311yescharacteristic
95C2×C4×Dic43C2311yescharacteristic
96#13063256—22no—
97Dic43⋊C8C2×C414yescomplemented
98#13063250—22no—
99#13063250C2×C414yescomplemented
100#13063248—41no—
101#13063246—22no—
102#13063246—41no—
103#13063246C2×C414yescomplemented
104C8×Dic43—22no—
105C8×Dic43—22no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95D411yescharacteristic
114C43⋊#95D411yescharacteristic
115C22×D4×C43C2311yescharacteristic
116C22×D4×C43C2311yescharacteristic
117C23×C4×C43—21no—
118C23×C4×C43—21no—
119C2×D8×C43—22no—
120C2×D8×C43—22no—
121C2×D8×C43C2×C414yes—
122C22×C8×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124C4×D4×C43—22no—
125C4×D4×C43—22no—
126C4×D4×C43—41no—
127C4×D4×C43—41no—
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C22⋊C4×C43—21no—
131C2×C22⋊C4×C43—21no—
132C2×C42×C43C2311yescharacteristic
133#107×C43—22no—
134#102×C43—22no—
135#102×C43D414yes—
136C4×C8×C43—22no—
137C24×C43—21no—
138C24×C43—21no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43C22×C412yes—
148C2×D4×C43C22×C412yes—
149C2×D4×C43C2×D412yes—
150C2×D4×C43#4112yes—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—42no—
154C22×C4×C43—42no—
155C22×C4×C43—42no—
156C22×C4×C43—42no—
157C22×C4×C43—81no—
158C22×C4×C43—81no—
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2411yescharacteristic
162C22×Dic43—24no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—42no—
168C22×Dic43—42no—
169C22×Dic43—81no—
170C22×Dic43—81no—
171C22×Dic43—81no—
172C22×Dic43C2×D411yescharacteristic
173C22×Dic43C2×D411yescharacteristic
174C22×Dic43C2×D411yescharacteristic
175C22×Dic43C2×D411yescharacteristic
176C2×Dic86—21no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86C22×C412yes—
182D8×C43—28no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43C22×C412yes—
188C2×C8×C43C2×D412yes—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43C2×D412yes—
193C22⋊C4×C43—42no—
194C22⋊C4×C43—42no—
195C42×C43—21no—
196C42×C43—21no—
197C22⋊Dic43—24no—
198C22⋊Dic43—24no—
199C22⋊Dic43—24no—
200C22⋊Dic43—42no—
201C22⋊Dic43—42no—
202C22⋊Dic43—81no—
203#10621883—28no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43C22×C412yes—
210Dic43⋊C4—22no—
211Dic43⋊C4—22no—
212Dic43⋊C4—42no—
213Dic43⋊C4—81no—
214Dic43⋊C4—81no—
215C4×Dic43—21no—
216C4×Dic43—21no—
217C4×Dic43—42no—
218C4×Dic43—81no—
219C4×Dic43C22×C412yes—
220C4×Dic43#4112yes—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8C22×C412yes—
227C23×C43—22no—
228C23×C43—22no—
229C23×C43—22no—
230C23×C43—22no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43C22×D411yescharacteristic
242D4×C43—22no—
243D4×C43—22no—
244D4×C43—22no—
245D4×C43—22no—
246D4×C43—22no—
247D4×C43—41no—
248D4×C43—41no—
249D4×C43C4×D414yes—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—22no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—84no—
262C2×C4×C43—84no—
263C2×C4×C43#13512yes—
264C2×C4×C43C23×C411yescharacteristic
265C2×C4×C43C22×D411yescharacteristic
266C2×C4×C43C2×#4111yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43H(5,𝔽2)11yescharacteristic
269C2×C4×C432−1+411yescharacteristic
270C2×Dic43—21no—
271C2×Dic43—21no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—22no—
277C2×Dic43—22no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—84no—
292C2×Dic43—84no—
293C2×Dic43C4×D412yes—
294C2×Dic43C4×D412yes—
295C2×Dic43#13512yes—
296Dic86—22no—
297Dic86—22no—
298Dic86—41no—
299Dic86—41no—
300C8×C43—22no—
301C8×C43—22no—
302C43⋊C8—22no—
303C43⋊C8—41no—
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×C43—42no—
313C22×C43—42no—
314C22×C43—42no—
315C22×C43—81no—
316C22×C43—81no—
317C22×C43—81no—
318C22×C43—81no—
319C22×C43C2×C4×D411yescharacteristic
320C22×C43D4211yescharacteristic
321C22×C43#54811yescharacteristic
322C22×C43C2×#13511yescharacteristic
323C22×C43C2×#13511yescharacteristic
324C22×C43#57611yescharacteristic
325C22×C43#57711yescharacteristic
326C4×C43—22no—
327C4×C43—42no—
328C4×C43—41no—
329C4×C43—81no—
330C4×C43C2×C4×D411yescharacteristic
331C4×C43#52011yescharacteristic
332C4×C43#54711yescharacteristic
333C4×C43#55311yescharacteristic
334Dic43—22no—
335Dic43—22no—
336Dic43—22no—
337Dic43—42no—
338Dic43—42no—
339Dic43—41no—
340Dic43—81no—
341Dic43—81no—
342C2×#463—431no—
343C2×C4×SD16—431no—
344C2×C4×D8D4311yescharacteristic
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×#102—431no—
357C2×C43—44no—
358C2×C43—82no—
359C2×C43#236111yescharacteristic
360C2×C43C4×#13511yescharacteristic
361C2×C43#294611yescharacteristic
362C2×C43#328011yescharacteristic
363C2×C43#328211yescharacteristic
364C2×C43#336011yescharacteristic
365C2×C43#336111yescharacteristic
366C22×SD16—431no—
367C22×D8C2×D4311yescharacteristic
368C2×#124—431no—
369C2×C4×Q8—431no—
370C2×C4×D4—431no—
371C2×C4×D4—431no—
372C2×C4×D4C2×D4311yescharacteristic
373C2×C4×D4C2×D4311yescharacteristic
374#463—438no—
375C4×SD16—864no—
376C4×D8—24no—
377C2×#107C2×D4311yescharacteristic
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⋊C4—431no—
404C4×C22⋊C4—861no—
405C2×#95—861no—
406#340—431no—
407#340—431no—
408#340—431no—
409#340—431no—
410#336—431no—
411#336—431no—
412C43#2299911yescharacteristic, complemented, Sylow
413C22×Q8—431no—
414C22×D4C22×D4311yescharacteristic
415C22×D4C22×D4311yescharacteristic
416C23×C4—21no—
417C23×C4—21no—
418C23×C4—861no—
419C23×C4—861no—
420C2×SD16—434no—
421C2×SD16—862no—
422C2×SD16—862no—
423C2×D8—22no—
424C2×D8—22no—
425C2×D8C4×D4314yes—
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—22no—
436C4×D4—41no—
437C4×D4—41no—
438C4×D4—434no—
439C4×D4—862no—
440C4×D4—862no—
441C4×D4—1721no—
442C2×C4⋊C4—431no—
443C2×C4⋊C4—431no—
444C2×C4⋊C4—431no—
445C2×C4⋊C4—431no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—861no—
448C2×C4⋊C4—861no—
449C2×C4⋊C4—861no—
450C2×C4⋊C4C22×D4311yescharacteristic
451C2×C4⋊C4C22×D4311yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
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—431no—
461C2×C42—431no—
462C2×C42—861no—
463C2×C42—861no—
464C2×C42C22×D4311yescharacteristic
465#107—22no—
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#102C22⋊D4314yes—
476C4×C8—22no—
477C4×C8—862no—
478C4×C8—862no—
479#95—431no—
480#95—431no—
481#95—861no—
482#95—861no—
483#95—861no—
484#95—861no—
485#95—861no—
486#95—861no—
487#95—861no—
488C24—21no—
489C24—21no—
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—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4C2×C4×D4312yes—
505C2×D4C2×C4×D4312yes—
506C2×D4#1062189812yes—
507C2×D4C2×C22⋊D4312yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—81no—
515C22×C4—81no—
516C22×C4—431no—
517C22×C4—431no—
518C22×C4—431no—
519C22×C4—431no—
520C22×C4—864no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—3441no—
526C22×C4—3441no—
527C22×C4—3441no—
528C22×C4—1722no—
529C22×C4—1722no—
530C22×C4D4×D4311yescharacteristic
531C22×C4D4×D4311yescharacteristic
532C22×C4C23×D4311yescharacteristic
533SD16—868no—
534D8—28no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—432no—
540C2×C8—861no—
541C2×C8—861no—
542C2×C8—861no—
543C2×C8—861no—
544C2×C8—861no—
545C2×C8C2×C4×D4312yes—
546C2×C8C2×C22⋊D4312yes—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—432no—
551C4⋊C4—862no—
552C4⋊C4—862no—
553C4⋊C4—861no—
554C4⋊C4—861no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—861no—
558C4⋊C4—3441no—
559C4⋊C4—3441no—
560C4⋊C4—1722no—
561C4⋊C4C2×C22⋊D4312yes—
562C22⋊C4—42no—
563C22⋊C4—42no—
564C22⋊C4—864no—
565C22⋊C4—864no—
566C22⋊C4—864no—
567C22⋊C4—3441no—
568C22⋊C4—1722no—
569C22⋊C4—1722no—
570C42—21no—
571C42—21no—
572C42—432no—
573C42—432no—
574C42—861no—
575C42—861no—
576C42—3441no—
577C42—1722no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23C2×D4×D4311yescharacteristic
593Q8—862no—
594Q8—862no—
595Q8—1721no—
596Q8—1721no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—22no—
601D4—22no—
602D4—41no—
603D4—41no—
604D4C4×C22⋊D4314yes—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—84no—
617C2×C4—84no—
618C2×C4—432no—
619C2×C4—432no—
620C2×C4—432no—
621C2×C4—861no—
622C2×C4—861no—
623C2×C4—861no—
624C2×C4—861no—
625C2×C4—861no—
626C2×C4—861no—
627C2×C4—862no—
628C2×C4—862no—
629C2×C4—861no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—3444no—
633C2×C4—3444no—
634C2×C4—1721no—
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—1721no—
644C2×C4#1306334412yes—
645C2×C4C22×C4×D4311yescharacteristic
646C2×C4C22×C22⋊D4311yescharacteristic
647C2×C4#41×D4311yescharacteristic
648C2×C4C2×#1062189811yescharacteristic
649C2×C4#1306337011yescharacteristic
650C2×C4#1306337211yescharacteristic
651C8—22no—
652C8—22no—
653C8—862no—
654C8—1721no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22C4×D4×D4311yescharacteristic
670C22D4×C22⋊D4311yescharacteristic
671C22#1458355811yescharacteristic
672C22#135×D4311yescharacteristic
673C22C2×#1306334411yescharacteristic
674C22#1458370011yescharacteristic
675C22#1458370611yescharacteristic
676C4—22no—
677C4—42no—
678C4—41no—
679C4—81no—
680C4—862no—
681C4—862no—
682C4—862no—
683C4—3441no—
684C4—3441no—
685C4—1721no—
686C4—1722no—
687C4—1722no—
688C4C2×C4×C22⋊D4311yescharacteristic
689C4#1458337811yescharacteristic
690C4#1458354811yescharacteristic
691C4#1458359811yescharacteristic
692C2—44no—
693C2—82no—
694C2#1913761211yescharacteristic
695C2C4×#1306334411yescharacteristic
696C2#1914342011yescharacteristic
697C2#1914628011yescharacteristic
698C2#1914629611yescharacteristic
699C2#1914724211yescharacteristic
700C2#1914725611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C4×D8×C43C2
socleC23×C43C22×D4
prime radicalC22×D8×C43C22
cosocleC22×C4×C43C24
hypercenterC2×C4×D8D43
hypocenterC43#22999
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×D8

Complements

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

NH ≅ G/Ntype
2. C2×#14582990C2semidirect
3. #19137668C2semidirect
4. #19137500C2semidirect
5. #19135405C2semidirect
6. #19135360C2semidirect
7. #19135275C2semidirect
8. #19135271C2semidirect
10. #19134929C2semidirect
11. #19134856C2semidirect
12. #19134846C2semidirect
13. C8×Dic43⋊C4C2semidirect
14. #102×Dic43C2semidirect
21. #14583112C4semidirect
67. C2×#10621883C2×C4semidirect
71. #13063312C2×C4semidirect
77. D4×Dic43C2×C4semidirect
97. Dic43⋊C8C2×C4semidirect
99. #13063250C2×C4semidirect
103. #13063246C2×C4semidirect
412. C43#22999semidirect

Maximal subgroups

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

subgroupindex
C2×#145831122
C2×#145829902
#191376682
#191375002
#191354052
#191353602
#191352752
#191352712
#191349452
#191349292
#191348562
#191348462
C8×Dic43⋊C42
#102×Dic432
C2×C4×D8×C432
#2299943