Finite Group Databasebeta

← #25140481

Subgroups — #25140481

Order 11008.

986 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×#14583058C211yesmaximal, characteristic
2#19138092C211yesmaximal, characteristic, complemented
3#19137420C211yesmaximal, characteristic
4#19136144C211yesmaximal, characteristic, complemented
5#19136029C211yesmaximal, characteristic, complemented
6#19135916C211yesmaximal, characteristic, complemented
7#19135796C211yesmaximal, characteristic, complemented
8#19135271C211yesmaximal, characteristic, complemented
9#19135201C211yesmaximal, characteristic, complemented
10#19134936C211yesmaximal, characteristic, complemented
11#19134931C211yesmaximal, characteristic, complemented
12#19134842C211yesmaximal, characteristic, complemented
13#19134603C211yesmaximal, characteristic, complemented
14#19134532C211yesmaximal, characteristic
15C2×C4×SD16×C43C211yesmaximal, characteristic, complemented
16C22×#10621900C2211yescharacteristic
17C22×#10621885C2211yescharacteristic
18C2×#13063301C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20#14583058—24no—
21C2×#13063258C2211yescharacteristic
22C2×Dic43⋊C8C2211yescharacteristic
23C2×#13063250C2211yescharacteristic
24C2×#13063250C2211yescharacteristic
25C2×#13063249C2211yescharacteristic
26C2×#13063248C2211yescharacteristic
27C2×#13063246C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×(C2×D43)⋊C8C2211yescharacteristic
30C2×(C2×D43)⋊C8C2211yescharacteristic
31#14582837—21no—
32#14582825—21no—
33#14582806C2211yescharacteristic
34#14582805C2211yescharacteristic
35#14582804C2211yescharacteristic
36#14582797C2211yescharacteristic
37#14582790—21no—
38#14582783—21no—
39#14582778—21no—
40#14582776—21no—
41#14582764C2211yescharacteristic
42#14582760—21no—
43#14582756C2211yescharacteristic
44#14582756C2211yescharacteristic
45C4×(C2×D43)⋊C4C2211yescharacteristic
46C2×C43⋊#95—21no—
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582654C2211yescharacteristic
52#14582653C2211yescharacteristic
53C22×SD16×C43C2211yescharacteristic
54C2×C4×Q8×C43C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic
56C4×SD16×C43—24no—
57C2×#106×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C2×C4×C8×C43C2211yescharacteristic
61C2×#10621900—22no—
62C2×#10621900—22no—
63C2×#10621900—22no—
64C2×#10621900—22no—
65C2×#10621900—41no—
66C2×#10621900—41no—
67C22×Dic86C2311yescharacteristic
68C22×C22⋊D43—21no—
69C23×Dic43—21no—
70C23×Dic43—21no—
71C22×C4×D43C2311yescharacteristic
72C2×#10621885—22no—
73C2×#10621885—22no—
74C2×#10621885—41no—
75C22×C43⋊C8C2311yescharacteristic
76C22×C43⋊C8C2311yescharacteristic
77#13063301—22no—
78#13063301—41no—
79D4×Dic43—22no—
80D4×Dic43—41no—
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×Dic43⋊C4—21no—
85C2×Dic43⋊C4—21no—
86C2×C22⋊Dic43—21no—
87C2×(C2×D43)⋊C4—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90C2×(C2×D43)⋊C4D411yescharacteristic
91C2×(C2×D43)⋊C4D411yescharacteristic
92C2×C4×Dic43C2311yescharacteristic
93#13063258—41no—
94Dic43⋊C8—41no—
95#13063250—22no—
96#13063250—22no—
97#13063249—41no—
98#13063248—41no—
99#13063246—22no—
100#13063246—22no—
101(C2×D43)⋊C8—22no—
102(C2×D43)⋊C8—41no—
103C43⋊#95—21no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95D411yescharacteristic
115C43⋊#95D411yescharacteristic
116C22×Q8×C43C2311yescharacteristic
117C22×D4×C43C2311yescharacteristic
118C23×C4×C43—21no—
119C2×SD16×C43—22no—
120C2×SD16×C43—22no—
121C2×SD16×C43D414yes—
122C22×C8×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124C4×Q8×C43—22no—
125C4×Q8×C43—41no—
126C4×D4×C43—22no—
127C4×D4×C43—41no—
128C2×C4⋊C4×C43—21no—
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132C2×C42×C43—21no—
133C2×C42×C43C2311yescharacteristic
134#106×C43—22no—
135#103×C43—22no—
136#102×C43—22no—
137C4×C8×C43—22no—
138C24×C43—21no—
139C23×D43C2×D411yescharacteristic
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43C2×D412yes—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43C2×D412yes—
150C2×D4×C43#4112yes—
151C2×D4×C43#4112yes—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—42no—
156C22×C4×C43—42no—
157C22×C4×C43—81no—
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2411yescharacteristic
161C2×C22⋊D43—24no—
162C2×C22⋊D43—42no—
163C2×C22⋊D43—42no—
164C22×Dic43—24no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—42no—
170C22×Dic43—42no—
171C22×Dic43—42no—
172C22×Dic43—42no—
173C22×Dic43—81no—
174C22×Dic43C2×D411yescharacteristic
175C22×Dic43C2×D411yescharacteristic
176C22×Dic43C2×D411yescharacteristic
177#10621900—44no—
178#10621900—44no—
179#10621900—44no—
180#10621900—44no—
181C2×C4×D43—21no—
182C2×C4×D43—21no—
183C2×C4×D43—21no—
184C2×C4×D43—21no—
185C2×C4×D43—21no—
186C2×C4×D43—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—21no—
192C2×Dic86#4112yes—
193SD16×C43—28no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43C2×D412yes—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—42no—
205C22⋊C4×C43—42no—
206C42×C43—21no—
207C42×C43—21no—
208C42×C43—42no—
209C22⋊Dic43—42no—
210#10621885—44no—
211(C2×D43)⋊C4—22no—
212(C2×D43)⋊C4—41no—
213(C2×D43)⋊C4—42no—
214(C2×D43)⋊C4—42no—
215(C2×D43)⋊C4—81no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222Dic43⋊C4—42no—
223Dic43⋊C4—42no—
224C4×Dic43—21no—
225C4×Dic43—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C23×C43—22no—
233C23×C43—22no—
234C23×C43—22no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43C22×D411yescharacteristic
240C22×D43—21no—
241C22×D43—21no—
242C22×D43—21no—
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—21no—
247Q8×C43—22no—
248Q8×C43—22no—
249Q8×C43—41no—
250Q8×C43—41no—
251D4×C43—22no—
252D4×C43—22no—
253D4×C43—22no—
254D4×C43#12314yes—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—22no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—84no—
270C2×C4×C43#13512yes—
271C2×C4×C43C22×D411yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43H(5,𝔽2)11yescharacteristic
276C2×C4×C43H(5,𝔽2)11yescharacteristic
277C22⋊D43—48no—
278C2×Dic43—22no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—48no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—84no—
301C4×D43—41no—
302C4×D43—41no—
303C4×D43—41no—
304C4×D43—41no—
305Dic86—22no—
306Dic86—22no—
307Dic86—41no—
308Dic86—41no—
309C8×C43—22no—
310C8×C43—41no—
311C43⋊C8—41no—
312C43⋊C8—41no—
313#24903—431nomaximal, Sylow
314C22×C43—24no—
315C22×C43—42no—
316C22×C43—42no—
317C22×C43—42no—
318C22×C43—42no—
319C22×C43—42no—
320C22×C43—42no—
321C22×C43#52511yescharacteristic
322C22×C43D4211yescharacteristic
323C22×C43#54611yescharacteristic
324C22×C43C2×#13511yescharacteristic
325C22×C43#57511yescharacteristic
326C22×C43#57711yescharacteristic
327C22×C43#57811yescharacteristic
328C2×D43—41no—
329C2×D43—41no—
330C2×D43—41no—
331C2×D43—41no—
332C2×D43—41no—
333C2×D43—41no—
334C2×D43—41no—
335C4×C43—22no—
336C4×C43—42no—
337C4×C43—41no—
338C4×C43—81no—
339C4×C43—81no—
340C4×C43C2×#12311yescharacteristic
341C4×C43#53811yescharacteristic
342C4×C43#54611yescharacteristic
343C4×C43#55111yescharacteristic
344Dic43—42no—
345Dic43—41no—
346Dic43—41no—
347Dic43—41no—
348Dic43—81no—
349Dic43—81no—
350Dic43—81no—
351C2×#452—431no—
352C2×C4×SD16D4311yescharacteristic, complemented
353#2421—431no—
354#2339—431no—
355#2097—431no—
356#2077—431no—
357#2056—431no—
358#2036—431no—
359#1933—431no—
360#1923—431no—
361#1878—431no—
362#1877—431no—
363#1862—431no—
364#1804—431no—
365#1788—431no—
366C2×C43—44no—
367C2×C43#241811yescharacteristic
368C2×C43#310211yescharacteristic
369C2×C43#312011yescharacteristic
370C2×C43#326911yescharacteristic
371C2×C43#328211yescharacteristic
372C2×C43#330211yescharacteristic
373C2×C43#332311yescharacteristic
374D43—81no—
375C22×#41—431no—
376C22×Q16—431no—
377C22×SD16C2×D4311yescharacteristic
378C2×C22⋊Q8—431no—
379C2×C4×Q8C2×D4311yescharacteristic
380C2×C4×D4—431no—
381C2×C4×D4C2×D4311yescharacteristic
382#452—864no—
383C4×SD16—24no—
384C2×#107—431no—
385C2×#106C2×D4311yescharacteristic
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⋊C8—431no—
397C2×C4×C8C2×D4311yescharacteristic
398#400—861no—
399#397—861no—
400#391—431no—
401#391—431no—
402#391—431no—
403#389—431no—
404#388—861no—
405#387—861no—
406#386—861no—
407#386—861no—
408#382—431no—
409#381—861no—
410#380—431no—
411#380—431no—
412C4×C22⋊C4—431no—
413C2×#95—861no—
414#340—431no—
415#340—431no—
416#340—431no—
417#340—431no—
418#336—431no—
419#336—431no—
420C43#2490311yescharacteristic, complemented, Sylow
421C2×#41—862no—
422C2×#41—862no—
423C2×#41—862no—
424C2×#41—862no—
425C2×#41—1721no—
426C2×#41—1721no—
427C22×Q8—431no—
428C22×Q8C22×D4311yescharacteristic
429C22×D4—861no—
430C22×D4C22×D4311yescharacteristic
431C23×C4—21no—
432C23×C4—431no—
433C23×C4—861no—
434C23×C4—861no—
435C2×Q16—862no—
436C2×Q16—862no—
437C2×Q16—1721no—
438C2×SD16—22no—
439C2×SD16—22no—
440C2×SD16C22⋊D4314yes—
441C22×C8—431no—
442C22×C8—431no—
443C22×C8C22×D4311yescharacteristic
444C22×C8C22×D4311yescharacteristic
445C22⋊Q8—862no—
446C22⋊Q8—1721no—
447C4×Q8—22no—
448C4×Q8—41no—
449C4×D4—22no—
450C4×D4—41no—
451C4×D4—862no—
452C4×D4—1721no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4C22×D4311yescharacteristic
460C2×C4⋊C4C22×D4311yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—431no—
463C2×C22⋊C4—431no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C42—21no—
469C2×C42—431no—
470C2×C42C22×D4311yescharacteristic
471#107—1721no—
472#106—22no—
473C4⋊C8—1721no—
474#103—22no—
475#103—862no—
476#103—862no—
477#103—1721no—
478#103—1721no—
479#102—22no—
480#102—862no—
481#102—862no—
482C22⋊C8—862no—
483C22⋊C8—1721no—
484C4×C8—22no—
485#95—431no—
486#95—431no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95—861no—
497#95—861no—
498C24—21no—
499C24—431no—
500#41—1724no—
501#41—1724no—
502#41—1724no—
503#41—1724no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—432no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8—861no—
515C2×Q8C2×C22⋊D4312yes—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—864no—
520C2×D4—1722no—
521C2×D4—1722no—
522C2×D4#1062189812yes—
523C2×D4#1062189812yes—
524C2×D4C2×C22⋊D4312yes—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—81no—
531C22×C4—431no—
532C22×C4—431no—
533C22×C4—431no—
534C22×C4—864no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—861no—
539C22×C4—861no—
540C22×C4—861no—
541C22×C4—861no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—861no—
545C22×C4—3441no—
546C22×C4—1722no—
547C22×C4—1722no—
548C22×C4—1722no—
549C22×C4—1722no—
550C22×C4D4×D4311yescharacteristic
551C22×C4D4×D4311yescharacteristic
552C22×C4C23×D4311yescharacteristic
553Q16—1724no—
554SD16—28no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—861no—
561C2×C8—861no—
562C2×C8—861no—
563C2×C8—861no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8C2×C22⋊D4312yes—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—42no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—1722no—
579C4⋊C4—1722no—
580C22⋊C4—42no—
581C22⋊C4—862no—
582C22⋊C4—3441no—
583C22⋊C4—1721no—
584C22⋊C4—1722no—
585C22⋊C4—1722no—
586C22⋊C4—1722no—
587C42—21no—
588C42—21no—
589C42—42no—
590C42—861no—
591C42—861no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—861no—
600C23—861no—
601C23—861no—
602C23—861no—
603C23—861no—
604C23—861no—
605C23—861no—
606C23C2×D4×D4311yescharacteristic
607Q8—22no—
608Q8—22no—
609Q8—41no—
610Q8—41no—
611Q8—862no—
612Q8—862no—
613Q8—1721no—
614Q8—1721no—
615D4—22no—
616D4—22no—
617D4—22no—
618D4—1728no—
619D4#1306330814yes—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—84no—
635C2×C4—861no—
636C2×C4—862no—
637C2×C4—861no—
638C2×C4—861no—
639C2×C4—861no—
640C2×C4—861no—
641C2×C4—861no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—3444no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1728no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4#1306334612yes—
663C2×C4C22×C22⋊D4311yescharacteristic
664C2×C4#41×D4311yescharacteristic
665C2×C4C2×#1062189811yescharacteristic
666C2×C4C2×#1062189811yescharacteristic
667C2×C4#1306337011yescharacteristic
668C2×C4#1306337111yescharacteristic
669C8—22no—
670C8—41no—
671C8—1721no—
672C8—1721no—
673C22—24no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—1721no—
681C22—1721no—
682C22—1721no—
683C22—1721no—
684C22—1721no—
685C22—1721no—
686C22—1721no—
687C22#1458340811yescharacteristic
688C22D4×C22⋊D4311yescharacteristic
689C22#1458354511yescharacteristic
690C22C2×#1306334611yescharacteristic
691C22#1458369611yescharacteristic
692C22#1458370511yescharacteristic
693C22#1458371311yescharacteristic
694C4—22no—
695C4—42no—
696C4—41no—
697C4—81no—
698C4—81no—
699C4—3441no—
700C4—3441no—
701C4—3441no—
702C4—1721no—
703C4—1722no—
704C4—1721no—
705C4—1721no—
706C4C2×#1306330811yescharacteristic
707C4#1458348211yescharacteristic
708C4#1458353711yescharacteristic
709C4#1458357811yescharacteristic
710C2—44no—
711C2—3441no—
712C2#1913805111yescharacteristic
713C2#1914461711yescharacteristic
714C2#1914480511yescharacteristic
715C2#1914615011yescharacteristic
716C2#1914630211yescharacteristic
717C2#1914651411yescharacteristic
718C2#1914681611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C4×SD16×C43C2
socleC23×C43C22×D4
prime radicalC22×#10621900C22
hypercenterC2×C4×SD16D43
hypocenterC43#24903
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
2. #19138092C2semidirect
4. #19136144C2semidirect
5. #19136029C2semidirect
6. #19135916C2semidirect
7. #19135796C2semidirect
8. #19135271C2semidirect
9. #19135201C2semidirect
10. #19134936C2semidirect
11. #19134931C2semidirect
12. #19134842C2semidirect
13. #19134603C2semidirect
15. C2×C4×SD16×C43C2semidirect
352. C2×C4×SD16D43semidirect
420. C43#24903semidirect

Maximal subgroups

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

subgroupindex
C2×#145830582
#191380922
#191374202
#191361442
#191360292
#191359162
#191357962
#191352712
#191352012
#191349362
#191349312
#191348422
#191346032
#191345322
C2×C4×SD16×C432
#2490343