Finite Group Databasebeta

← #25097815

Subgroups — #25097815

Order 11008.

1986 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583409C211yesmaximal, characteristic
2C22×#13063283C211yesmaximal, characteristic, complemented
3C2×#14582892C212yesmaximal, complemented
4C2×C22⋊C8×D43C211yesmaximal, characteristic, complemented
5#19134914C212yesmaximal, complemented
6#19134913C211yesmaximal, characteristic, complemented
7#19134906C212yesmaximal, complemented
8#19134902C211yesmaximal, characteristic, complemented
9#19134900C211yesmaximal, characteristic, complemented
10#19134310C212yesmaximal, complemented
11C43×#1874C211yesmaximal, characteristic, complemented
12C22×#10621900C2211yescharacteristic
13C23×C4×D43C2211yescharacteristic
14C22×C8×D43C2212yes—
15#14583409—24no—
16#14583409C418yescomplemented
17C2×#13063307—21no—
18C2×#13063305C2211yescharacteristic
19C2×#13063304C2211yescharacteristic
20C2×#13063296C2211yescharacteristic
21C2×#13063293—21no—
22C2×D4×Dic43—21no—
23C2×(C22⋊D43)⋊C4—21no—
24C2×#13063283—21no—
25C2×#13063283—21no—
26C2×#13063283—28no—
27C2×#13063283C2212yes—
28C2×#13063283C2211yescharacteristic
29C2×#13063283C2212yes—
30C22×C4⋊Dic43C2211yescharacteristic
31C22×(C2×D43)⋊C4—21no—
32C22×C4×Dic43—21no—
33#14582892—28no—
34C2×#13063250C2212yescomplemented
35C2×#13063248C2212yescomplemented
36C2×#13063246C2212yescomplemented
37C2×C22⋊(C43⋊C8)C2211yescharacteristic
38C2×(C2×D43)⋊C8C2212yes—
39C22⋊C8×D43—24no—
40#14582662C2212yescomplemented
41#14582661C2212yescomplemented
42#14582661C2212yescomplemented
43C2×#121×C43C2211yescharacteristic
44C22×C4⋊C4×C43C2211yescharacteristic
45C2×#102×C43C2212yescomplemented
46C2×C22⋊C8×C43C2211yescharacteristic
47C43×#340C2212yescomplemented
48C24×D43D411yescharacteristic
49C2×#10621900—24no—
50C2×#10621900—22no—
51C2×#10621900—24no—
52C2×#10621900C2×C414yescomplemented
53C22×Dic86C2311yescharacteristic
54C22×C22⋊D43—21no—
55C22×C22⋊D43—21no—
56C23×Dic43—21no—
57C23×Dic43—21no—
58C23×Dic43D411yescharacteristic
59C22×C4×D43—24no—
60C22×C4×D43—24no—
61C22×C4×D43C2×C414yes—
62C22×C4×D43D411yescharacteristic
63C22×C4×D43D411yescharacteristic
64C22×C4×D43D414yes—
65C22×C4×D43C2311yescharacteristic
66C22×C4×D43C2311yescharacteristic
67C22×C43⋊C8C2312yes—
68C2×C8×D43—24no—
69C2×C8×D43—24no—
70C2×C8×D43—24no—
71#13063307—28no—
72#13063305—22no—
73#13063305C2×C414yescomplemented
74#13063304—22no—
75#13063304C2×C414yes—
76#13063296—22no—
77#13063296C2×C414yescomplemented
78#13063293—28no—
79D4×Dic43—28no—
80(C22⋊D43)⋊C4—28no—
81#13063283—28no—
82#13063283—28no—
83#13063283—24no—
84#13063283—22no—
85#13063283—24no—
86#13063283—24no—
87#13063283C2×C414yescomplemented
88#13063283D418yescomplemented
89C2×C4⋊Dic43—21no—
90C2×C4⋊Dic43—21no—
91C2×C4⋊Dic43—24no—
92C2×C4⋊Dic43C2311yescharacteristic
93C2×C4⋊Dic43C2312yes—
94C2×Dic43⋊C4—21no—
95C2×C22⋊Dic43—21no—
96C2×C22⋊Dic43—21no—
97C2×(C2×D43)⋊C4—28no—
98C2×(C2×D43)⋊C4—22no—
99C2×(C2×D43)⋊C4—22no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×C4×Dic43—28no—
103C2×C4×Dic43—22no—
104C2×C4×Dic43—22no—
105C2×C4×Dic43—21no—
106#13063250—24no—
107#13063248—24no—
108#13063246—24no—
109C22⋊(C43⋊C8)—22no—
110(C2×D43)⋊C8—24no—
111C22×D4×C43—21no—
112C22×D4×C43C2311yescharacteristic
113C23×C4×C43—21no—
114C23×C4×C43C2311yescharacteristic
115C22×C8×C43C2312yes—
116#121×C43—22no—
117#121×C43C2×C414yes—
118C2×C4⋊C4×C43—21no—
119C2×C4⋊C4×C43—24no—
120C2×C4⋊C4×C43C2311yescharacteristic
121C2×C4⋊C4×C43C2312yes—
122C2×C22⋊C4×C43—21no—
123#102×C43—24no—
124C22⋊C8×C43—22no—
125C24×C43—21no—
126C24×C43C2×D411yescharacteristic
127C23×D43—22no—
128C23×D43—22no—
129C23×D43—22no—
130C23×D43—22no—
131C23×D43—41no—
132C23×D43—41no—
133C23×D43C22⋊C414yes—
134C23×D43C2×D411yescharacteristic
135C23×D43C2×D411yescharacteristic
136C2×D4×C43—21no—
137C2×D4×C43—24no—
138C2×D4×C43—22no—
139C2×D4×C43—22no—
140C2×D4×C43—42no—
141C2×D4×C43—42no—
142C2×D4×C43C22×C412yes—
143C22×C4×C43—22no—
144C22×C4×C43—22no—
145C22×C4×C43—24no—
146C22×C4×C43—21no—
147C22×C4×C43—22no—
148C22×C4×C43—42no—
149C22×C4×C43—42no—
150C22×C4×C43C22×C412yes—
151C22×C4×C43C2×D412yes—
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2411yescharacteristic
154C2×C22⋊D43—24no—
155C2×C22⋊D43—24no—
156C2×C22⋊D43—42no—
157C2×C22⋊D43—42no—
158C2×C22⋊D43—42no—
159C2×C22⋊D43—42no—
160C22×Dic43—22no—
161C22×Dic43—22no—
162C22×Dic43—24no—
163C22×Dic43—24no—
164C22×Dic43—22no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—42no—
168C22×Dic43—42no—
169C22×Dic43—42no—
170C22×Dic43—42no—
171C22×Dic43C22⋊C414yes—
172C22×Dic43C2×D411yescharacteristic
173C22×Dic43C2×D411yescharacteristic
174#10621900—216no—
175#10621900—48no—
176C2×C4×D43—22no—
177C2×C4×D43—22no—
178C2×C4×D43—22no—
179C2×C4×D43—22no—
180C2×C4×D43—216no—
181C2×C4×D43—216no—
182C2×C4×D43—22no—
183C2×C4×D43—22no—
184C2×C4×D43C22⋊C414yes—
185C2×C4×D43C22⋊C414yes—
186C2×C4×D43C22×C412yes—
187C2×C4×D43C22×C412yes—
188C2×C4×D43C2×D412yes—
189C2×C4×D43C2×D412yes—
190C2×C4×D43C2×D414yes—
191C2×C4×D43#4114yes—
192C2×Dic86—22no—
193C2×Dic86—22no—
194C2×Dic86—21no—
195C2×Dic86C22×C412yes—
196C2×C8×C43—22no—
197C2×C8×C43—22no—
198C2×C8×C43—22no—
199C4⋊C4×C43—24no—
200C4⋊C4×C43—22no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43C22×C412yes—
203C4⋊C4×C43C2×D414yes—
204C22⋊C4×C43—24no—
205C22⋊Dic43—24no—
206C22⋊Dic43—24no—
207(C2×D43)⋊C4—28no—
208(C2×D43)⋊C4—24no—
209(C2×D43)⋊C4—24no—
210(C2×D43)⋊C4—28no—
211C4⋊Dic43—24no—
212C4⋊Dic43—22no—
213C4⋊Dic43—21no—
214C4⋊Dic43—24no—
215C4⋊Dic43C22×C412yes—
216C4⋊Dic43C2×D414yes—
217Dic43⋊C4—24no—
218C4×Dic43—28no—
219C4×Dic43—24no—
220C4×Dic43—28no—
221C2×C43⋊C8—22no—
222C2×C43⋊C8—22no—
223C2×C43⋊C8—22no—
224C8×D43—48no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43—22no—
230C23×C43—41no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43C2×C22⋊C412yes—
237C23×C43#13512yes—
238C23×C43#13512yes—
239C23×C43C22×D411yescharacteristic
240C22×D43—21no—
241C22×D43—21no—
242C22×D43—21no—
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—21no—
247C22×D43—21no—
248C22×D43—21no—
249C22×D43—21no—
250C22×D43—28no—
251C22×D43—28no—
252C22×D43—44no—
253C22×D43—44no—
254C22×D43—44no—
255C22×D43—44no—
256C22×D43—44no—
257C22×D43C2×C22⋊C412yes—
258C22×D43C2×C22⋊C412yes—
259C22×D43#12012yes—
260C22×D43#12312yes—
261D4×C43—24no—
262D4×C43—48no—
263D4×C43—42no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—24no—
267C2×C4×C43—24no—
268C2×C4×C43—22no—
269C2×C4×C43—24no—
270C2×C4×C43—48no—
271C2×C4×C43—42no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—42no—
275C2×C4×C43C2×C22⋊C412yes—
276C2×C4×C43C23×C411yescharacteristic
277C2×C4×C43C22×D412yes—
278C2×C4×C43C22×D411yescharacteristic
279C2×C4×C43C2×#4112yes—
280C22⋊D43—48no—
281C22⋊D43—48no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—28no—
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—24no—
288C2×Dic43—48no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—42no—
292C2×Dic43—42no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—48no—
296C2×Dic43C2×C22⋊C412yes—
297C2×Dic43C2×C22⋊C412yes—
298C2×Dic43#12012yes—
299C2×Dic43#12312yes—
300C4×D43—28no—
301C4×D43—24no—
302C4×D43—24no—
303C4×D43—28no—
304C4×D43C4×D418yes—
305C4×D43#12118yes—
306Dic86—24no—
307Dic86—42no—
308C8×C43—42no—
309C43⋊C8—42no—
310#20908—431nomaximal, Sylow
311C22×C43—22no—
312C22×C43—22no—
313C22×C43—22no—
314C22×C43—22no—
315C22×C43—22no—
316C22×C43—22no—
317C22×C43—42no—
318C22×C43—42no—
319C22×C43—42no—
320C22×C43—81no—
321C22×C43—81no—
322C22×C43—81no—
323C22×C43—81no—
324C22×C43#41614yescomplemented
325C22×C43C22×C22⋊C411yescharacteristic
326C22×C43C2×#12011yescharacteristic
327C22×C43C2×#12311yescharacteristic
328C22×C43C2×#13511yescharacteristic
329C22×C43C2×#13511yescharacteristic
330C22×C43#57511yescharacteristic
331C22×C43#57511yescharacteristic
332C2×D43—22no—
333C2×D43—22no—
334C2×D43—22no—
335C2×D43—22no—
336C2×D43—22no—
337C2×D43—22no—
338C2×D43—22no—
339C2×D43—22no—
340C2×D43—22no—
341C2×D43—416no—
342C2×D43—41no—
343C2×D43—41no—
344C2×D43—41no—
345C2×D43—41no—
346C2×D43#38614yes—
347C4×C43—22no—
348C4×C43—42no—
349C4×C43—44no—
350C4×C43C2×C4×D412yes—
351C4×C43C2×#12112yes—
352Dic43—22no—
353Dic43—42no—
354Dic43—44no—
355Dic43—42no—
356Dic43#38614yes—
357C2×#525—431no—
358C22×#117—431no—
359C2×#416—432no—
360C22×C22⋊C8—431no—
361#1875—432no—
362#1874—431no—
363#1874D4311yescharacteristic, complemented
364#1873—432no—
365#1872—431no—
366#1872—431no—
367#1735—432no—
368C2×C43—24no—
369C2×C43—82no—
370C2×C43C2×#38611yescharacteristic
371C2×C43C2×#41611yescharacteristic
372C2×C43#289611yescharacteristic
373C2×C43#300211yescharacteristic
374C2×C43#300211yescharacteristic
375C2×C43#309111yescharacteristic
376C2×C43#309111yescharacteristic
377D43—24no—
378D43—42no—
379C22×#41—431no—
380C24×C4—431no—
381C23×C8—432no—
382#525—438no—
383#525—864no—
384C2×#123—861no—
385C2×C22⋊Q8—431no—
386C2×C22⋊Q8—431no—
387C2×#121—431no—
388C2×#121C2×D4311yescharacteristic
389C2×#120—861no—
390C2×C4×D4—861no—
391C2×C4×D4—861no—
392C2×#117—432no—
393C2×#117—431no—
394C2×#117—432no—
395C2×#117—868no—
396C2×#117—861no—
397C2×#117—861no—
398C22×C4⋊C4—431no—
399C22×C4⋊C4C2×D4311yescharacteristic
400C22×C22⋊C4—861no—
401C22×C42—861no—
402#416—868no—
403C2×#103—432no—
404C2×#103—432no—
405C2×#102—432no—
406C2×#102C2×D4312yescomplemented
407C2×C22⋊C8—431no—
408C2×C22⋊C8—432no—
409C2×C22⋊C8—864no—
410C2×C22⋊C8C2×D4311yescharacteristic
411#340—432no—
412#340—432no—
413#340—432no—
414#340C2×D4312yescomplemented
415C43#2090811yescharacteristic, complemented, Sylow
416C25—431no—
417C2×#41—434no—
418C2×#41—862no—
419C2×#41—864no—
420C2×#41—864no—
421C22×Q8—431no—
422C22×D4—21no—
423C22×D4—861no—
424C22×D4—861no—
425C22×D4C22×D4311yescharacteristic
426C23×C4—21no—
427C23×C4—431no—
428C23×C4—431no—
429C23×C4—434no—
430C23×C4—431no—
431C23×C4—431no—
432C23×C4—434no—
433C23×C4—431no—
434C23×C4—864no—
435C23×C4—864no—
436C23×C4—861no—
437C23×C4—861no—
438C23×C4C22×D4311yescharacteristic
439C22×C8—432no—
440C22×C8—864no—
441C22×C8—864no—
442C22×C8—864no—
443C22×C8C22×D4312yes—
444#123—868no—
445C22⋊Q8—434no—
446C22⋊Q8—434no—
447C22⋊Q8—862no—
448C22⋊Q8—862no—
449#121—22no—
450#121—434no—
451#121—862no—
452#121C4×D4314yes—
453#120—868no—
454C4×D4—868no—
455C4×D4—868no—
456#117—434no—
457#117—438no—
458#117—864no—
459#117—864no—
460#117—862no—
461#117—868no—
462#117—868no—
463#117—864no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—24no—
466C2×C4⋊C4—432no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—864no—
469C2×C4⋊C4—861no—
470C2×C4⋊C4—861no—
471C2×C4⋊C4—861no—
472C2×C4⋊C4C22×D4311yescharacteristic
473C2×C4⋊C4C22×D4312yes—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—862no—
476C2×C22⋊C4—862no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—868no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—861no—
482C2×C42—862no—
483C2×C42—862no—
484C2×C42—861no—
485C2×C42—868no—
486#103—864no—
487#103—864no—
488#102—24no—
489#102—864no—
490C22⋊C8—22no—
491C22⋊C8—864no—
492C22⋊C8—862no—
493C24—21no—
494C24—431no—
495C24—431no—
496C24—434no—
497C24—862no—
498C24—862no—
499C24—862no—
500C24—862no—
501C24—1721no—
502C24—1721no—
503C24D4×D4311yescharacteristic
504#41—8616no—
505#41—1728no—
506C2×Q8—432no—
507C2×Q8—861no—
508C2×Q8—862no—
509C2×Q8—862no—
510C2×D4—24no—
511C2×D4—22no—
512C2×D4—21no—
513C2×D4—22no—
514C2×D4—42no—
515C2×D4—42no—
516C2×D4—864no—
517C2×D4—864no—
518C2×D4—1722no—
519C2×D4—1722no—
520C2×D4—1722no—
521C2×D4—1722no—
522C2×D4C2×C4×D4312yes—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—24no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—431no—
531C22×C4—432no—
532C22×C4—434no—
533C22×C4—432no—
534C22×C4—434no—
535C22×C4—434no—
536C22×C4—431no—
537C22×C4—434no—
538C22×C4—434no—
539C22×C4—432no—
540C22×C4—432no—
541C22×C4—862no—
542C22×C4—862no—
543C22×C4—8616no—
544C22×C4—8616no—
545C22×C4—862no—
546C22×C4—862no—
547C22×C4—862no—
548C22×C4—862no—
549C22×C4—864no—
550C22×C4—862no—
551C22×C4—862no—
552C22×C4—864no—
553C22×C4—862no—
554C22×C4—861no—
555C22×C4—861no—
556C22×C4—1722no—
557C22×C4—1722no—
558C22×C4—1722no—
559C22×C4—1722no—
560C22×C4C2×C4×D4312yes—
561C22×C4D4×D4311yescharacteristic
562C22×C4D4×D4312yes—
563C22×C4C23×D4311yescharacteristic
564C2×C8—22no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—862no—
568C2×C8—862no—
569C2×C8—862no—
570C2×C8—1728no—
571C4⋊C4—24no—
572C4⋊C4—22no—
573C4⋊C4—21no—
574C4⋊C4—432no—
575C4⋊C4—434no—
576C4⋊C4—864no—
577C4⋊C4—864no—
578C4⋊C4—864no—
579C4⋊C4—862no—
580C4⋊C4—861no—
581C4⋊C4C2×C4×D4312yes—
582C4⋊C4D4×D4314yes—
583C22⋊C4—24no—
584C22⋊C4—868no—
585C22⋊C4—864no—
586C22⋊C4—864no—
587C22⋊C4—868no—
588C22⋊C4—864no—
589C22⋊C4—864no—
590C42—868no—
591C42—864no—
592C42—868no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—22no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—432no—
605C23—432no—
606C23—432no—
607C23—432no—
608C23—868no—
609C23—861no—
610C23—861no—
611C23—861no—
612C23—861no—
613C23—861no—
614C23—861no—
615C23—868no—
616C23—861no—
617C23—861no—
618C23—861no—
619C23—861no—
620C23—1724no—
621C23—1724no—
622C23—1724no—
623C23—1724no—
624C23—1724no—
625C23C22⋊C4×D4312yes—
626C23#1306334412yes—
627C23#1306334612yes—
628C23C2×D4×D4311yescharacteristic
629Q8—864no—
630Q8—1722no—
631D4—24no—
632D4—48no—
633D4—42no—
634D4—1728no—
635D4—1728no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—48no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—432no—
648C2×C4—432no—
649C2×C4—432no—
650C2×C4—438no—
651C2×C4—438no—
652C2×C4—432no—
653C2×C4—868no—
654C2×C4—868no—
655C2×C4—868no—
656C2×C4—861no—
657C2×C4—861no—
658C2×C4—864no—
659C2×C4—864no—
660C2×C4—862no—
661C2×C4—862no—
662C2×C4—864no—
663C2×C4—1728no—
664C2×C4—1728no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4—1722no—
668C2×C4—1721no—
669C2×C4—1722no—
670C2×C4—1721no—
671C2×C4C22⋊C4×D4312yes—
672C2×C4C22×C4×D4311yescharacteristic
673C2×C4C2×D4×D4312yes—
674C2×C4C2×D4×D4311yescharacteristic
675C2×C4#41×D4312yes—
676C8—42no—
677C8—1722no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—22no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—434no—
692C22—862no—
693C22—862no—
694C22—862no—
695C22—862no—
696C22—862no—
697C22—862no—
698C22—862no—
699C22—862no—
700C22—862no—
701C22—17216no—
702C22—1721no—
703C22—1721no—
704C22—1721no—
705C22—1721no—
706C22#1458289214yescomplemented
707C22C2×C22⋊C4×D4311yescharacteristic
708C22#120×D4311yescharacteristic
709C22#123×D4311yescharacteristic
710C22C2×#1306334411yescharacteristic
711C22C2×#1306334611yescharacteristic
712C22#1458369511yescharacteristic
713C22#1458369811yescharacteristic
714C4—22no—
715C4—44no—
716C4—42no—
717C4—434no—
718C4—862no—
719C4—1724no—
720C4—1722no—
721C4—1722no—
722C4C4×D4×D4312yes—
723C4#121×D4312yes—
724C2—24no—
725C2—82no—
726C2—864no—
727C2—1722no—
728C2#386×D4311yescharacteristic
729C2C2×#1458289211yescharacteristic
730C2#1914311111yescharacteristic
731C2#1914380811yescharacteristic
732C2#1914381211yescharacteristic
733C2#1914450311yescharacteristic
734C2#1914450511yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1874C2
socleC23×C43C22×D4
prime radicalC2×#14583409C2
cosocleC22×C4×C43C24
hypercenter#1874D43
hypocenterC43#20908
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1874

Complements

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

NH ≅ G/Ntype
2. C22×#13063283C2semidirect
3. C2×#14582892C2semidirect
4. C2×C22⋊C8×D43C2semidirect
5. #19134914C2semidirect
6. #19134913C2semidirect
7. #19134906C2semidirect
8. #19134902C2semidirect
9. #19134900C2semidirect
10. #19134310C2semidirect
11. C43×#1874C2semidirect
16. #14583409C4semidirect
34. C2×#13063250C22semidirect
35. C2×#13063248C22semidirect
36. C2×#13063246C22semidirect
40. #14582662C22semidirect
41. #14582661C22semidirect
42. #14582661C22semidirect
45. C2×#102×C43C22semidirect
47. C43×#340C22semidirect
52. C2×#10621900C2×C4semidirect
73. #13063305C2×C4semidirect
77. #13063296C2×C4semidirect
87. #13063283C2×C4semidirect
88. #13063283D4semidirect
324. C22×C43#416semidirect
363. #1874D43semidirect
406. C2×#102C2×D43semidirect
414. #340C2×D43semidirect
415. C43#20908semidirect
706. C22#14582892semidirect

Maximal subgroups

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

subgroupindex
C2×#145834092
C22×#130632832
C2×#145828922
C2×C22⋊C8×D432
#191349142
#191349132
#191349062
#191349022
#191349002
#191343102
C43×#18742
#2090843