Finite Group Databasebeta

← #25140356

Subgroups — #25140356

Order 11008.

988 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583038C211yesmaximal, characteristic
2C2×#14582984C211yesmaximal, characteristic, complemented
3#19138089C211yesmaximal, characteristic
4Q8×C22⋊Dic43C211yesmaximal, characteristic, complemented
5#19136141C211yesmaximal, characteristic, complemented
6#19136032C211yesmaximal, characteristic, complemented
7#19135909C211yesmaximal, characteristic, complemented
8#19135778C211yesmaximal, characteristic
9#19135273C211yesmaximal, characteristic, complemented
10#19135204C211yesmaximal, characteristic, complemented
11#19134948C211yesmaximal, characteristic, complemented
12#19134926C211yesmaximal, characteristic, complemented
13#19134851C211yesmaximal, characteristic, complemented
14#19134608C211yesmaximal, characteristic, complemented
15C43×#1787C211yesmaximal, characteristic, complemented
16C22×#10621884C2211yescharacteristic
17C22×#10621884C2211yescharacteristic
18C2×#13063299C2211yescharacteristic
19C2×Q8×Dic43C2211yescharacteristic
20C2×Q8×Dic43C2211yescharacteristic
21C2×#13063287C2211yescharacteristic
22#14583038—24no—
23#14582984—24no—
24C2×#13063259C2211yescharacteristic
25C2×#13063256C2211yescharacteristic
26C2×Dic43⋊C8C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063249C2211yescharacteristic
29C2×#13063247C2211yescharacteristic
30C2×#13063247C2211yescharacteristic
31C2×C22⋊(C43⋊C8)C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33#14582826—21no—
34#14582815—21no—
35#14582806—21no—
36#14582806—21no—
37#14582806C2211yescharacteristic
38#14582806C2211yescharacteristic
39#14582800C2211yescharacteristic
40#14582798C2211yescharacteristic
41#14582775—21no—
42#14582764C2211yescharacteristic
43#14582761—21no—
44#14582759—21no—
45#14582759C2211yescharacteristic
46C4×C22⋊Dic43—21no—
47C4×C22⋊Dic43C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582653C2211yescharacteristic
53#14582653C2211yescharacteristic
54C23×Q8×C43C2211yescharacteristic
55C2×#103×C43C2211yescharacteristic
56C2×#103×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×C22⋊C8×C43C2211yescharacteristic
60C43×#380C2211yescharacteristic
61C22×D172C2311yescharacteristic
62C22×C22⋊D43—21no—
63C22×C4×D43—21no—
64C2×#10621884—22no—
65C2×#10621884—22no—
66C2×#10621884—22no—
67C2×#10621884—22no—
68C2×#10621884—41no—
69C2×#10621884D414yes—
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72#13063299—22no—
73#13063299—41no—
74Q8×Dic43—22no—
75Q8×Dic43—22no—
76Q8×Dic43—41no—
77Q8×Dic43—41no—
78#13063287—22no—
79#13063287—41no—
80C2×C4⋊Dic43—21no—
81C2×C4⋊Dic43—21no—
82C2×C4⋊Dic43—21no—
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C4⋊Dic43C2311yescharacteristic
85C2×C4⋊Dic43C2311yescharacteristic
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43D411yescharacteristic
88C2×C22⋊Dic43D411yescharacteristic
89C2×(C2×D43)⋊C4—21no—
90C2×(C2×D43)⋊C4—21no—
91C2×(C2×D43)⋊C4—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×C4×Dic43—21no—
94C2×C4×Dic43—21no—
95C2×C4×Dic43C2311yescharacteristic
96C2×C4×Dic43C2311yescharacteristic
97#13063259—41no—
98#13063256—22no—
99Dic43⋊C8—41no—
100#13063249—22no—
101#13063249—22no—
102#13063247—22no—
103#13063247—41no—
104C22⋊(C43⋊C8)—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⋊#95—21no—
114C43⋊#95D411yescharacteristic
115C43⋊#95D411yescharacteristic
116C22×Q8×C43—22no—
117C22×Q8×C43—22no—
118C22×Q8×C43—21no—
119C22×Q8×C43—22no—
120C22×Q8×C43—22no—
121C22×Q8×C43—41no—
122C22×Q8×C43—41no—
123C22×Q8×C43C2311yescharacteristic
124C22×Q8×C43C2311yescharacteristic
125C23×C4×C43—21no—
126C23×C4×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C22×C8×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132#103×C43—22no—
133#103×C43—22no—
134#103×C43—22no—
135#103×C43—41no—
136C22⋊C8×C43—41no—
137#95×C43—21no—
138C24×C43C2×D411yescharacteristic
139C23×D43—21no—
140C2×Q8×C43—24no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—42no—
150C2×Q8×C43—42no—
151C2×Q8×C43—44no—
152C2×Q8×C43—44no—
153C2×Q8×C43—44no—
154C2×Q8×C43—44no—
155C2×Q8×C43C2×D412yes—
156C2×Q8×C43#4112yes—
157C2×Q8×C43#4112yes—
158C2×Q8×C43#4112yes—
159C22×C4×C43—24no—
160C22×C4×C43—21no—
161C22×C4×C43—21no—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—21no—
167C22×C4×C43—21no—
168C22×C4×C43—21no—
169C22×C4×C43—21no—
170C22×C4×C43—42no—
171C22×C4×C43—42no—
172C22×C4×C43C2×D411yescharacteristic
173C22×C4×C43C2411yescharacteristic
174C2×C22⋊D43—42no—
175C2×C22⋊D43—42no—
176C2×C22⋊D43—81no—
177C22×Dic43—21no—
178C22×Dic43—21no—
179C22×Dic43—21no—
180C22×Dic43C2×D411yescharacteristic
181C22×Dic43C2×D411yescharacteristic
182C22×Dic43C2×D411yescharacteristic
183C22×Dic43C2×D411yescharacteristic
184C2×D172—21no—
185C2×D172—21no—
186C2×D172—21no—
187C2×D172—21no—
188C2×D172—21no—
189C2×D172C2×D412yes—
190C2×C4×D43—42no—
191C2×C4×D43—42no—
192C2×C4×D43—81no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C22⋊C4×C43—81no—
204C22⋊Dic43—22no—
205C22⋊Dic43—22no—
206C22⋊Dic43—42no—
207#10621884—28no—
208#10621884—44no—
209(C2×D43)⋊C4—42no—
210(C2×D43)⋊C4—42no—
211(C2×D43)⋊C4—81no—
212(C2×D43)⋊C4—81no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—42no—
220C4⋊Dic43—42no—
221C4⋊Dic43—81no—
222C4×Dic43—21no—
223C4×Dic43—21no—
224C4×Dic43—21no—
225C4×Dic43—21no—
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⋊C8C2×D412yes—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43#13512yes—
241C23×C43C22×D411yescharacteristic
242C22×D43—22no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248C22×D43—41no—
249Q8×C43—22no—
250Q8×C43—22no—
251Q8×C43—22no—
252Q8×C43—22no—
253Q8×C43—22no—
254Q8×C43—48no—
255Q8×C43—41no—
256Q8×C43—41no—
257Q8×C43#12314yes—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—48no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
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×C43C22×D411yescharacteristic
279C2×C4×C43C2×#4111yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43H(5,𝔽2)11yescharacteristic
283C2×C4×C43H(5,𝔽2)11yescharacteristic
284C22⋊D43—84no—
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—21no—
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#13712yes—
306D172—22no—
307D172—22no—
308D172—41no—
309D172—41no—
310C4×D43—84no—
311C8×C43—41no—
312C8×C43—41no—
313C43⋊C8—22no—
314C43⋊C8—41no—
315#24894—431nomaximal, Sylow
316C22×C43—22no—
317C22×C43—22no—
318C22×C43—22no—
319C22×C43—41no—
320C22×C43—41no—
321C22×C43—41no—
322C22×C43—41no—
323C22×C43#52511yescharacteristic
324C22×C43D4211yescharacteristic
325C22×C43#54611yescharacteristic
326C22×C43C2×#13511yescharacteristic
327C22×C43C2×#13711yescharacteristic
328C22×C43#57711yescharacteristic
329C22×C43#57711yescharacteristic
330C2×D43—42no—
331C2×D43—42no—
332C2×D43—42no—
333C2×D43—81no—
334C2×D43—81no—
335C2×D43—81no—
336C2×D43—81no—
337C4×C43—24no—
338C4×C43—41no—
339C4×C43—42no—
340C4×C43—81no—
341C4×C43—81no—
342C4×C43C2×#12311yescharacteristic
343C4×C43#53811yescharacteristic
344C4×C43#54611yescharacteristic
345C4×C43#55111yescharacteristic
346Dic43—22no—
347Dic43—41no—
348Dic43—41no—
349Dic43—41no—
350Dic43—81no—
351Dic43—81no—
352Dic43—81no—
353C2×#448—431no—
354C2×C4×SD16—431no—
355#2420—431no—
356Q8×C22⋊C4—431no—
357#2097—431no—
358#2077—431no—
359#2055—431no—
360#2033—431no—
361#1933—431no—
362#1923—431no—
363#1880—431no—
364#1877—431no—
365#1863—431no—
366#1805—431no—
367#1787D4311yescharacteristic, complemented
368C2×C43—42no—
369C2×C43#241811yescharacteristic
370C2×C43#310811yescharacteristic
371C2×C43#312611yescharacteristic
372C2×C43#326611yescharacteristic
373C2×C43#328211yescharacteristic
374C2×C43#330111yescharacteristic
375C2×C43#332911yescharacteristic
376D43—82no—
377C23×Q8C2×D4311yescharacteristic
378C22×SD16—431no—
379C22×SD16—431no—
380C2×#121—431no—
381C2×C4×Q8—431no—
382C2×C4×Q8—431no—
383C2×C4×D4—431no—
384#448—864no—
385C4×SD16—864no—
386C2×#107—431no—
387C2×#106—431no—
388C2×C4⋊C8—431no—
389C2×#103—431no—
390C2×#103—431no—
391C2×#103C2×D4311yescharacteristic
392C2×#103C2×D4311yescharacteristic
393C2×#103C2×D4311yescharacteristic
394C2×#103C2×D4311yescharacteristic
395C2×#102—431no—
396C2×#102—431no—
397C2×C22⋊C8—431no—
398C2×C22⋊C8C2×D4311yescharacteristic
399C2×C4×C8—431no—
400#397—861no—
401#394—861no—
402#391—431no—
403#391—431no—
404#391—861no—
405#391—861no—
406#390—431no—
407#389—431no—
408#386—861no—
409#382—431no—
410#381—861no—
411#380—431no—
412#380—861no—
413#380C2×D4311yescharacteristic
414C4×C22⋊C4—431no—
415C4×C22⋊C4—861no—
416#340—431no—
417#340—431no—
418#340—431no—
419#340—431no—
420#336—431no—
421#336—431no—
422C43#2489411yescharacteristic, complemented, Sylow
423C22×Q8—22no—
424C22×Q8—22no—
425C22×Q8—21no—
426C22×Q8—22no—
427C22×Q8—22no—
428C22×Q8—41no—
429C22×Q8—41no—
430C22×Q8C22×D4311yescharacteristic
431C22×Q8C22×D4311yescharacteristic
432C22×D4—431no—
433C22×D4—861no—
434C23×C4—21no—
435C23×C4—861no—
436C23×C4C22×D4311yescharacteristic
437C2×SD16—434no—
438C2×SD16—862no—
439C2×SD16—862no—
440C2×SD16—862no—
441C2×SD16—862no—
442C2×SD16—1721no—
443C22×C8—431no—
444C22×C8—431no—
445C22×C8C22×D4311yescharacteristic
446C22×C8C22×D4311yescharacteristic
447#121—862no—
448#121—1721no—
449C4×Q8—862no—
450C4×Q8—862no—
451C4×Q8—1721no—
452C4×Q8—1721no—
453C4×D4—862no—
454C4×D4—1721no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4C22×D4311yescharacteristic
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×C42—431no—
472C2×C42—431no—
473C2×C42—861no—
474C2×C42—861no—
475#107—1721no—
476#106—862no—
477C4⋊C8—1721no—
478#103—22no—
479#103—22no—
480#103—22no—
481#103—41no—
482#103—862no—
483#103—862no—
484#102—862no—
485#102—1721no—
486C22⋊C8—41no—
487C22⋊C8—862no—
488C4×C8—862no—
489#95—21no—
490#95—431no—
491#95—431no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95—861no—
497#95—861no—
498#95—861no—
499#95—861no—
500C24—861no—
501C24D4×D4311yescharacteristic
502C2×Q8—24no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—42no—
512C2×Q8—42no—
513C2×Q8—44no—
514C2×Q8—44no—
515C2×Q8—44no—
516C2×Q8—44no—
517C2×Q8#1062189812yes—
518C2×Q8D4×D4312yes—
519C2×Q8#1062190012yes—
520C2×Q8#1062190012yes—
521C2×D4—432no—
522C2×D4—861no—
523C2×D4—861no—
524C2×D4—861no—
525C2×D4—861no—
526C2×D4—861no—
527C2×D4—3441no—
528C2×D4—1722no—
529C2×D4—1722no—
530C22×C4—21no—
531C22×C4—24no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—431no—
544C22×C4—431no—
545C22×C4—431no—
546C22×C4—431no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—861no—
550C22×C4—3441no—
551C22×C4—1722no—
552C22×C4—1722no—
553C22×C4D4×D4311yescharacteristic
554C22×C4C23×D4311yescharacteristic
555SD16—868no—
556SD16—1724no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—432no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—3441no—
580C4⋊C4—1722no—
581C4⋊C4—1722no—
582C22⋊C4—81no—
583C22⋊C4—862no—
584C22⋊C4—862no—
585C22⋊C4—3441no—
586C22⋊C4—3441no—
587C22⋊C4—1722no—
588C22⋊C4—1722no—
589C22⋊C4—1722no—
590C42—861no—
591C42—861no—
592C42—861no—
593C42—861no—
594C42—1722no—
595C42—1722no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—862no—
603C23—1721no—
604C23—1721no—
605C23—1721no—
606C23—1721no—
607C23—1721no—
608C23—1721no—
609C23#1306334812yes—
610C23C2×D4×D4311yescharacteristic
611Q8—22no—
612Q8—22no—
613Q8—22no—
614Q8—22no—
615Q8—22no—
616Q8—48no—
617Q8—41no—
618Q8—41no—
619Q8#1306330714yes—
620D4—862no—
621D4—862no—
622D4—3444no—
623D4—1721no—
624D4—1721no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—48no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—432no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—861no—
652C2×C4—861no—
653C2×C4—861no—
654C2×C4—861no—
655C2×C4—861no—
656C2×C4—861no—
657C2×C4—3444no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4C2×D4×D4311yescharacteristic
668C2×C4C2×#1062190011yescharacteristic
669C2×C4C2×#1062190011yescharacteristic
670C2×C4C2×#1062189811yescharacteristic
671C2×C4#1306337011yescharacteristic
672C2×C4#1306337011yescharacteristic
673C8—41no—
674C8—41no—
675C8—862no—
676C8—1721no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—3441no—
685C22—3441no—
686C22—3441no—
687C22—3441no—
688C22—1722no—
689C22—1722no—
690C22—1722no—
691C22#1458340511yescharacteristic
692C22#1458353111yescharacteristic
693C22#1458353911yescharacteristic
694C22C2×#1306334811yescharacteristic
695C22#137×D4311yescharacteristic
696C22#1458370511yescharacteristic
697C22#1458370811yescharacteristic
698C4—24no—
699C4—41no—
700C4—42no—
701C4—81no—
702C4—81no—
703C4—862no—
704C4—3441no—
705C4—3441no—
706C4—3441no—
707C4—1721no—
708C4—1721no—
709C4—1721no—
710C4C2×#1306330711yescharacteristic
711C4#1458348411yescharacteristic
712C4#1458353611yescharacteristic
713C4#1458357511yescharacteristic
714C2—42no—
715C2—3442no—
716C2#1913806111yescharacteristic
717C2#1914467611yescharacteristic
718C2#1914488011yescharacteristic
719C2#1914610811yescharacteristic
720C2#1914629511yescharacteristic
721C2#1914649311yescharacteristic
722C2#1914688511yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1787C2
socleC23×C43C22×D4
prime radicalC2×#13063299C22
hypercenter#1787D43
hypocenterC43#24894
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1787

Complements

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

NH ≅ G/Ntype
2. C2×#14582984C2semidirect
4. Q8×C22⋊Dic43C2semidirect
5. #19136141C2semidirect
6. #19136032C2semidirect
7. #19135909C2semidirect
9. #19135273C2semidirect
10. #19135204C2semidirect
11. #19134948C2semidirect
12. #19134926C2semidirect
13. #19134851C2semidirect
14. #19134608C2semidirect
15. C43×#1787C2semidirect
367. #1787D43semidirect
422. C43#24894semidirect

Maximal subgroups

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

subgroupindex
C2×#145830382
C2×#145829842
#191380892
Q8×C22⋊Dic432
#191361412
#191360322
#191359092
#191357782
#191352732
#191352042
#191349482
#191349262
#191348512
#191346082
C43×#17872
#2489443