Finite Group Databasebeta

← #25140498

Subgroups — #25140498

Order 11008.

966 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Q16×Dic43C211yesmaximal, characteristic, complemented
2#19138116C211yesmaximal, characteristic, complemented
3#19137436C211yesmaximal, characteristic
4#19136121C211yesmaximal, characteristic, complemented
5#19136018C211yesmaximal, characteristic, complemented
6#19135908C211yesmaximal, characteristic, complemented
7#19135795C211yesmaximal, characteristic, complemented
8#19135275C211yesmaximal, characteristic, complemented
9#19135198C211yesmaximal, characteristic, complemented
10#19134952C211yesmaximal, characteristic, complemented
11#19134938C211yesmaximal, characteristic, complemented
12#19134847C211yesmaximal, characteristic, complemented
13#19134598C211yesmaximal, characteristic, complemented
14#19134535C211yesmaximal, characteristic
15C2×C43×#452C211yesmaximal, characteristic
16C2×Q8×Dic43C2211yescharacteristic
17C2×Q8×Dic43C2211yescharacteristic
18C2×Q8×Dic43C2211yescharacteristic
19Q16×Dic43—24no—
20C2×#13063259C2211yescharacteristic
21C2×#13063258C2211yescharacteristic
22C2×Dic43⋊C8C2211yescharacteristic
23C2×#13063249C2211yescharacteristic
24C2×#13063249C2211yescharacteristic
25C2×#13063249C2211yescharacteristic
26C2×#13063249C2211yescharacteristic
27C2×#13063246C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×C22⋊(C43⋊C8)C2211yescharacteristic
30C2×C8×Dic43C2211yescharacteristic
31#14582835—21no—
32#14582829—21no—
33#14582806C2211yescharacteristic
34#14582802—21no—
35#14582802—21no—
36#14582802C2211yescharacteristic
37#14582802C2211yescharacteristic
38#14582795C2211yescharacteristic
39#14582787—21no—
40#14582780—21no—
41#14582768C2211yescharacteristic
42#14582759—21no—
43#14582759C2211yescharacteristic
44#14582759C2211yescharacteristic
45C4×C22⋊Dic43—21no—
46C4×C22⋊Dic43C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C22×#41×C43C2211yescharacteristic
54C22×Q16×C43C2211yescharacteristic
55C22×SD16×C43C2211yescharacteristic
56C2×C22⋊Q8×C43C2211yescharacteristic
57C43×#452—24no—
58C2×#103×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C2×C22⋊C8×C43C2211yescharacteristic
61C22×C43⋊C8C2311yescharacteristic
62C22×C43⋊C8C2311yescharacteristic
63Q8×Dic43—22no—
64Q8×Dic43—22no—
65Q8×Dic43—22no—
66Q8×Dic43—41no—
67Q8×Dic43—41no—
68Q8×Dic43—41no—
69C2×C4⋊Dic43—21no—
70C2×C4⋊Dic43—21no—
71C2×C4⋊Dic43—21no—
72C2×C4⋊Dic43C2311yescharacteristic
73C2×C4⋊Dic43C2311yescharacteristic
74C2×C4⋊Dic43C2311yescharacteristic
75C2×C4⋊Dic43C2311yescharacteristic
76C2×Dic43⋊C4—21no—
77C2×Dic43⋊C4—21no—
78C2×Dic43⋊C4—21no—
79C2×C22⋊Dic43—21no—
80C2×C22⋊Dic43—21no—
81C2×C22⋊Dic43—21no—
82C2×C22⋊Dic43—21no—
83C2×C22⋊Dic43—21no—
84C2×C22⋊Dic43—21no—
85C2×C22⋊Dic43D411yescharacteristic
86C2×C22⋊Dic43D411yescharacteristic
87C2×C4×Dic43—21no—
88C2×C4×Dic43—21no—
89C2×C4×Dic43—21no—
90C2×C4×Dic43C2311yescharacteristic
91C2×C4×Dic43C2311yescharacteristic
92#13063259—22no—
93#13063258—41no—
94Dic43⋊C8—41no—
95#13063249—22no—
96#13063249—22no—
97#13063249—22no—
98#13063249—41no—
99#13063246—22no—
100#13063246—41no—
101C22⋊(C43⋊C8)—41no—
102C8×Dic43—22no—
103C43⋊#95—21no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95D411yescharacteristic
109C43⋊#95D411yescharacteristic
110C2×#41×C43—22no—
111C2×#41×C43—22no—
112C2×#41×C43—22no—
113C2×#41×C43—22no—
114C2×#41×C43—41no—
115C2×#41×C43—41no—
116C22×Q8×C43C2311yescharacteristic
117C22×Q8×C43C2311yescharacteristic
118C22×D4×C43—21no—
119C22×D4×C43C2311yescharacteristic
120C23×C4×C43—21no—
121C23×C4×C43C2311yescharacteristic
122C2×Q16×C43—22no—
123C2×Q16×C43—22no—
124C2×Q16×C43D414yes—
125C2×SD16×C43—22no—
126C2×SD16×C43—22no—
127C2×SD16×C43—41no—
128C22×C8×C43C2311yescharacteristic
129C22×C8×C43C2311yescharacteristic
130C22⋊Q8×C43—22no—
131C22⋊Q8×C43—41no—
132C2×C4⋊C4×C43—21no—
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C22⋊C4×C43—21no—
135#103×C43—22no—
136#102×C43—22no—
137C22⋊C8×C43—22no—
138C24×C43—21no—
139C24×C43C2×D411yescharacteristic
140#41×C43—44no—
141#41×C43—44no—
142#41×C43—44no—
143#41×C43—44no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43C2×D412yes—
153C2×Q8×C43C2×D412yes—
154C2×Q8×C43#4112yes—
155C2×Q8×C43#4112yes—
156C2×D4×C43—24no—
157C2×D4×C43—21no—
158C2×D4×C43—21no—
159C2×D4×C43—21no—
160C2×D4×C43—21no—
161C2×D4×C43—21no—
162C2×D4×C43—42no—
163C2×D4×C43—42no—
164C2×D4×C43#4112yes—
165C22×C4×C43—24no—
166C22×C4×C43—21no—
167C22×C4×C43—21no—
168C22×C4×C43—21no—
169C22×C4×C43—21no—
170C22×C4×C43—21no—
171C22×C4×C43—21no—
172C22×C4×C43—21no—
173C22×C4×C43—21no—
174C22×C4×C43—21no—
175C22×C4×C43—42no—
176C22×C4×C43—42no—
177C22×C4×C43C2×D411yescharacteristic
178C22×C4×C43C2411yescharacteristic
179C22×Dic43—21no—
180C22×Dic43—21no—
181C22×Dic43—21no—
182C22×Dic43—21no—
183C22×Dic43C2×D411yescharacteristic
184C22×Dic43C2×D411yescharacteristic
185C22×Dic43C2×D411yescharacteristic
186C22×Dic43C2×D411yescharacteristic
187Q16×C43—28no—
188SD16×C43—44no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43C2×D412yes—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—42no—
198C22⋊C4×C43—42no—
199C22⋊Dic43—22no—
200C22⋊Dic43—22no—
201C22⋊Dic43—42no—
202C22⋊Dic43—42no—
203C22⋊Dic43—81no—
204C22⋊Dic43—81no—
205C22⋊Dic43—81no—
206C22⋊Dic43—81no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—42no—
216C4⋊Dic43—42no—
217C4⋊Dic43—42no—
218Dic43⋊C4—42no—
219Dic43⋊C4—81no—
220Dic43⋊C4—81no—
221C4×Dic43—21no—
222C4×Dic43—21no—
223C4×Dic43—21no—
224C4×Dic43—21no—
225C4×Dic43—42no—
226C4×Dic43—42no—
227C4×Dic43—42no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C23×C43—21no—
235C23×C43—22no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43C22×D411yescharacteristic
249Q8×C43—22no—
250Q8×C43—22no—
251Q8×C43—22no—
252Q8×C43—22no—
253Q8×C43—22no—
254Q8×C43—41no—
255Q8×C43—41no—
256Q8×C43#12314yes—
257D4×C43—22no—
258D4×C43—22no—
259D4×C43—48no—
260D4×C43—41no—
261D4×C43—41no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—22no—
265C2×C4×C43—21no—
266C2×C4×C43—22no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—48no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43H(5,𝔽2)11yescharacteristic
284C2×C4×C43H(5,𝔽2)11yescharacteristic
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C2×Dic43#13512yes—
308C2×Dic43#13712yes—
309C8×C43—22no—
310C8×C43—41no—
311C43⋊C8—41no—
312C43⋊C8—41no—
313#24904—431nomaximal, Sylow
314C22×C43—41no—
315C22×C43—41no—
316C22×C43—42no—
317C22×C43—41no—
318C22×C43—42no—
319C22×C43—41no—
320C22×C43—42no—
321C22×C43—41no—
322C22×C43—41no—
323C22×C43—41no—
324C22×C43—81no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43—81no—
328C22×C43#52511yescharacteristic
329C22×C43D4211yescharacteristic
330C22×C43#54611yescharacteristic
331C22×C43C2×#13511yescharacteristic
332C22×C43C2×#13711yescharacteristic
333C22×C43#57611yescharacteristic
334C22×C43#57811yescharacteristic
335C4×C43—24no—
336C4×C43—41no—
337C4×C43—42no—
338C4×C43—81no—
339C4×C43C2×#12311yescharacteristic
340C4×C43#53811yescharacteristic
341C4×C43#54611yescharacteristic
342C4×C43#55111yescharacteristic
343Dic43—22no—
344Dic43—22no—
345Dic43—41no—
346Dic43—41no—
347Dic43—81no—
348Dic43—81no—
349Dic43—81no—
350Dic43—81no—
351C2×#452D4311yescharacteristic
352C2×C4×Q16—431no—
353#2423—431no—
354#2341—431no—
355#2093—431no—
356#2075—431no—
357#2055—431no—
358#2036—431no—
359#1934—431no—
360#1923—431no—
361#1880—431no—
362#1878—431no—
363#1863—431no—
364#1803—431no—
365#1788—431no—
366C2×C43—81no—
367C2×C43—82no—
368C2×C43#241811yescharacteristic
369C2×C43#310711yescharacteristic
370C2×C43#312411yescharacteristic
371C2×C43#327011yescharacteristic
372C2×C43#328711yescharacteristic
373C2×C43#330011yescharacteristic
374C2×C43#333311yescharacteristic
375C22×#41C2×D4311yescharacteristic
376C22×Q16C2×D4311yescharacteristic
377C22×SD16C2×D4311yescharacteristic
378C2×C22⋊Q8C2×D4311yescharacteristic
379C2×C4×Q8—431no—
380C2×C4×Q8—431no—
381C2×C4×Q8—431no—
382#452—24no—
383C4×Q16—864no—
384C2×#107—431no—
385C2×#107—431no—
386C2×C4⋊C8—431no—
387C2×#103—431no—
388C2×#103—431no—
389C2×#103—431no—
390C2×#103—431no—
391C2×#103C2×D4311yescharacteristic
392C2×#102—431no—
393C2×#102—431no—
394C2×#102C2×D4311yescharacteristic
395C2×C22⋊C8—431no—
396C2×C22⋊C8C2×D4311yescharacteristic
397C2×C4×C8—431no—
398#399—861no—
399#398—861no—
400#391—431no—
401#390—431no—
402#390—431no—
403#390—861no—
404#390—861no—
405#389—431no—
406#388—861no—
407#387—861no—
408#384—431no—
409#380—431no—
410#380—431no—
411#380—861no—
412C4×C22⋊C4—431no—
413C4×C22⋊C4—861no—
414#340—431no—
415#340—431no—
416#340—431no—
417#340—431no—
418#336—431no—
419#336—431no—
420C43#2490411yescharacteristic, complemented, Sylow
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—22no—
424C2×#41—22no—
425C2×#41—41no—
426C2×#41—41no—
427C22×Q8C22×D4311yescharacteristic
428C22×Q8C22×D4311yescharacteristic
429C22×D4—21no—
430C22×D4C22×D4311yescharacteristic
431C23×C4—21no—
432C23×C4C22×D4311yescharacteristic
433C2×Q16—22no—
434C2×Q16—22no—
435C2×Q16C22⋊D4314yes—
436C2×SD16—22no—
437C2×SD16—22no—
438C2×SD16—41no—
439C22×C8—431no—
440C22×C8—431no—
441C22×C8C22×D4311yescharacteristic
442C22×C8C22×D4311yescharacteristic
443C22⋊Q8—22no—
444C22⋊Q8—41no—
445C4×Q8—862no—
446C4×Q8—862no—
447C4×Q8—862no—
448C4×Q8—1721no—
449C4×Q8—1721no—
450C4×Q8—1721no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4—861no—
462C2×C4⋊C4C22×D4311yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—431no—
465C2×C22⋊C4—431no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C22⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4—861no—
471C2×C22⋊C4—861no—
472C2×C42—431no—
473C2×C42—431no—
474C2×C42—861no—
475C2×C42—861no—
476C2×C42—861no—
477#107—862no—
478#107—1721no—
479C4⋊C8—1721no—
480#103—22no—
481#103—862no—
482#103—862no—
483#103—862no—
484#103—1721no—
485#102—22no—
486#102—862no—
487#102—1721no—
488C22⋊C8—22no—
489C22⋊C8—1721no—
490C4×C8—862no—
491#95—431no—
492#95—431no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95—861no—
497#95—861no—
498C24—21no—
499C24D4×D4311yescharacteristic
500#41—44no—
501#41—44no—
502#41—44no—
503#41—44no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8#1062190012yes—
513C2×Q8#1062190012yes—
514C2×Q8C2×C22⋊D4312yes—
515C2×Q8C2×C22⋊D4312yes—
516C2×D4—24no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4#1062190012yes—
525C22×C4—21no—
526C22×C4—24no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—431no—
538C22×C4—431no—
539C22×C4—431no—
540C22×C4—431no—
541C22×C4—861no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—861no—
545C22×C4D4×D4311yescharacteristic
546C22×C4C23×D4311yescharacteristic
547Q16—28no—
548SD16—44no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—861no—
555C2×C8—861no—
556C2×C8—861no—
557C2×C8—861no—
558C2×C8—861no—
559C2×C8—861no—
560C2×C8C2×C22⋊D4312yes—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—42no—
564C4⋊C4—861no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—861no—
568C4⋊C4—861no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—861no—
572C4⋊C4—3441no—
573C4⋊C4—3441no—
574C4⋊C4—1722no—
575C4⋊C4—1722no—
576C4⋊C4—1722no—
577C4⋊C4—1722no—
578C22⋊C4—42no—
579C22⋊C4—862no—
580C22⋊C4—862no—
581C22⋊C4—3441no—
582C22⋊C4—3441no—
583C22⋊C4—3441no—
584C22⋊C4—3441no—
585C22⋊C4—1722no—
586C22⋊C4—1722no—
587C42—861no—
588C42—861no—
589C42—861no—
590C42—861no—
591C42—1722no—
592C42—1722no—
593C42—1722no—
594C23—21no—
595C23—22no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23C2×D4×D4311yescharacteristic
609Q8—22no—
610Q8—22no—
611Q8—22no—
612Q8—22no—
613Q8—22no—
614Q8—41no—
615Q8—41no—
616Q8#1306330614yes—
617D4—22no—
618D4—22no—
619D4—48no—
620D4—41no—
621D4—41no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—48no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—432no—
640C2×C4—432no—
641C2×C4—861no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—861no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4C22×C22⋊D4311yescharacteristic
664C2×C4C2×#1062190011yescharacteristic
665C2×C4C2×#1062190011yescharacteristic
666C2×C4C2×#1062190011yescharacteristic
667C2×C4#1306337011yescharacteristic
668C2×C4#1306337011yescharacteristic
669C8—22no—
670C8—41no—
671C8—1721no—
672C8—1721no—
673C22—42no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—42no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—42no—
682C22—41no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22#1458340511yescharacteristic
688C22D4×C22⋊D4311yescharacteristic
689C22#1458353611yescharacteristic
690C22#135×D4311yescharacteristic
691C22#137×D4311yescharacteristic
692C22#1458370111yescharacteristic
693C22#1458371511yescharacteristic
694C4—24no—
695C4—41no—
696C4—42no—
697C4—81no—
698C4—862no—
699C4—862no—
700C4—3441no—
701C4—3441no—
702C4—3441no—
703C4—3441no—
704C4—1721no—
705C4—1721no—
706C4C2×#1306330611yescharacteristic
707C4#1458348411yescharacteristic
708C4#1458354311yescharacteristic
709C4#1458358011yescharacteristic
710C2—81no—
711C2—82no—
712C2#1913805311yescharacteristic
713C2#1914465911yescharacteristic
714C2#1914485811yescharacteristic
715C2#1914615911yescharacteristic
716C2#1914634911yescharacteristic
717C2#1914647511yescharacteristic
718C2#1914692611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#452C2
socleC23×C43C22×D4
prime radicalC22×#41×C43C22
hypercenterC2×#452D43
hypocenterC43#24904
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#452

Complements

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

NH ≅ G/Ntype
1. C2×Q16×Dic43C2semidirect
2. #19138116C2semidirect
4. #19136121C2semidirect
5. #19136018C2semidirect
6. #19135908C2semidirect
7. #19135795C2semidirect
8. #19135275C2semidirect
9. #19135198C2semidirect
10. #19134952C2semidirect
11. #19134938C2semidirect
12. #19134847C2semidirect
13. #19134598C2semidirect
420. C43#24904semidirect

Maximal subgroups

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

subgroupindex
C2×Q16×Dic432
#191381162
#191374362
#191361212
#191360182
#191359082
#191357952
#191352752
#191351982
#191349522
#191349382
#191348472
#191345982
#191345352
C2×C43×#4522
#2490443