Finite Group Databasebeta

← #25097811

Subgroups — #25097811

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×#14583412C211yesmaximal, characteristic
2C22×#13063283C211yesmaximal, characteristic, complemented
3C2×#14582894C212yesmaximal, complemented
4C2×C22⋊C8×D43C211yesmaximal, characteristic, complemented
5#19134916C212yesmaximal, complemented
6#19134912C211yesmaximal, characteristic, complemented
7#19134910C211yesmaximal, characteristic, complemented
8#19134904C212yesmaximal, complemented
9#19134903C211yesmaximal, characteristic, complemented
10#19134310C212yesmaximal, complemented
11C43×#1872C211yesmaximal, characteristic, complemented
12C22×#10621902C2211yescharacteristic
13C23×C4×D43C2211yescharacteristic
14C22×C8×D43C2212yes—
15#14583412—24no—
16#14583412C418yescomplemented
17C2×#13063310—21no—
18C2×#13063301C2211yescharacteristic
19C2×#13063300C2211yescharacteristic
20C2×#13063299C2211yescharacteristic
21C2×#13063295—21no—
22C2×#13063287—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#14582894—28no—
34C2×#13063249C2212yescomplemented
35C2×#13063247C2212yescomplemented
36C2×#13063245C2212yescomplemented
37C2×C22⋊(C43⋊C8)C2211yescharacteristic
38C2×(C2×D43)⋊C8C2212yes—
39C22⋊C8×D43—24no—
40#14582662C2212yescomplemented
41#14582661C2212yescomplemented
42#14582661C2212yescomplemented
43C2×C22⋊Q8×C43C2211yescharacteristic
44C22×C4⋊C4×C43C2211yescharacteristic
45C2×#103×C43C2212yescomplemented
46C2×C22⋊C8×C43C2211yescharacteristic
47C43×#340C2212yescomplemented
48C24×D43D411yescharacteristic
49C2×#10621902—22no—
50C2×#10621902—24no—
51C2×#10621902—24no—
52C2×#10621902C2×C414yescomplemented
53C22×D172—21no—
54C22×D172—21no—
55C22×D172C2311yescharacteristic
56C22×C22⋊D43—21no—
57C23×Dic43—21no—
58C23×Dic43D411yescharacteristic
59C22×C4×D43—24no—
60C22×C4×D43—24no—
61C22×C4×D43—21no—
62C22×C4×D43C2×C414yes—
63C22×C4×D43D411yescharacteristic
64C22×C4×D43D411yescharacteristic
65C22×C4×D43D414yes—
66C22×C4×D43C2311yescharacteristic
67C22×C4×D43C2311yescharacteristic
68C22×C43⋊C8C2312yes—
69C2×C8×D43—24no—
70C2×C8×D43—24no—
71C2×C8×D43—24no—
72#13063310—28no—
73#13063301—22no—
74#13063301C2×C414yescomplemented
75#13063300—22no—
76#13063300C2×C414yescomplemented
77#13063299—22no—
78#13063299C2×C414yes—
79#13063295—28no—
80#13063287—28no—
81(C22⋊D43)⋊C4—28no—
82#13063283—28no—
83#13063283—28no—
84#13063283—24no—
85#13063283—22no—
86#13063283—24no—
87#13063283—24no—
88#13063283C2×C414yescomplemented
89#13063283D418yescomplemented
90C2×C4⋊Dic43—21no—
91C2×C4⋊Dic43—24no—
92C2×C4⋊Dic43C2311yescharacteristic
93C2×C4⋊Dic43C2312yes—
94C2×Dic43⋊C4—21no—
95C2×(C2×D43)⋊C4—28no—
96C2×(C2×D43)⋊C4—22no—
97C2×(C2×D43)⋊C4—22no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
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#13063249—24no—
107#13063247—24no—
108#13063245—24no—
109C22⋊(C43⋊C8)—22no—
110(C2×D43)⋊C8—24no—
111C22×Q8×C43C2311yescharacteristic
112C23×C4×C43—21no—
113C23×C4×C43C2311yescharacteristic
114C22×C8×C43C2312yes—
115C22⋊Q8×C43—22no—
116C22⋊Q8×C43C2×C414yes—
117C2×C4⋊C4×C43—21no—
118C2×C4⋊C4×C43—21no—
119C2×C4⋊C4×C43—24no—
120C2×C4⋊C4×C43C2311yescharacteristic
121C2×C4⋊C4×C43C2312yes—
122C2×C22⋊C4×C43—21no—
123#103×C43—24no—
124C22⋊C8×C43—22no—
125C24×C43C2×D411yescharacteristic
126C23×D43—22no—
127C23×D43—22no—
128C23×D43—22no—
129C23×D43—22no—
130C23×D43—21no—
131C23×D43—41no—
132C23×D43—41no—
133C23×D43C22⋊C414yes—
134C23×D43C2×D411yescharacteristic
135C23×D43C2×D411yescharacteristic
136C2×Q8×C43—21no—
137C2×Q8×C43—22no—
138C2×Q8×C43—22no—
139C2×Q8×C43C22×C412yes—
140C22×C4×C43—22no—
141C22×C4×C43—22no—
142C22×C4×C43—24no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—22no—
146C22×C4×C43—42no—
147C22×C4×C43—42no—
148C22×C4×C43C22×C412yes—
149C22×C4×C43C2×D412yes—
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2411yescharacteristic
152C2×C22⋊D43—24no—
153C2×C22⋊D43—42no—
154C2×C22⋊D43—42no—
155C22×Dic43—22no—
156C22×Dic43—22no—
157C22×Dic43—24no—
158C22×Dic43—22no—
159C22×Dic43—21no—
160C22×Dic43—42no—
161C22×Dic43—42no—
162C22×Dic43C22⋊C414yes—
163C22×Dic43C2×D411yescharacteristic
164C22×Dic43C2×D411yescharacteristic
165#10621902—216no—
166#10621902—48no—
167C2×D172—21no—
168C2×D172—24no—
169C2×D172—24no—
170C2×D172—22no—
171C2×D172—22no—
172C2×D172—42no—
173C2×D172—42no—
174C2×D172—42no—
175C2×D172—42no—
176C2×D172C22×C412yes—
177C2×C4×D43—22no—
178C2×C4×D43—22no—
179C2×C4×D43—22no—
180C2×C4×D43—22no—
181C2×C4×D43—216no—
182C2×C4×D43—216no—
183C2×C4×D43—24no—
184C2×C4×D43—22no—
185C2×C4×D43—22no—
186C2×C4×D43—42no—
187C2×C4×D43—42no—
188C2×C4×D43C22⋊C414yes—
189C2×C4×D43C22⋊C414yes—
190C2×C4×D43C22×C412yes—
191C2×C4×D43C22×C412yes—
192C2×C4×D43C2×D412yes—
193C2×C4×D43C2×D412yes—
194C2×C4×D43C2×D414yes—
195C2×C4×D43#4114yes—
196C2×C8×C43—22no—
197C2×C8×C43—22no—
198C2×C8×C43—22no—
199C4⋊C4×C43—24no—
200C4⋊C4×C43—24no—
201C4⋊C4×C43—22no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43C22×C412yes—
204C4⋊C4×C43C2×D414yes—
205C22⋊C4×C43—24no—
206(C2×D43)⋊C4—28no—
207(C2×D43)⋊C4—24no—
208(C2×D43)⋊C4—24no—
209(C2×D43)⋊C4—24no—
210(C2×D43)⋊C4—24no—
211(C2×D43)⋊C4—28no—
212C4⋊Dic43—24no—
213C4⋊Dic43—22no—
214C4⋊Dic43—21no—
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×C43C2×C22⋊C412yes—
230C23×C43#13512yes—
231C23×C43#13512yes—
232C23×C43C22×D411yescharacteristic
233C22×D43—21no—
234C22×D43—21no—
235C22×D43—21no—
236C22×D43—21no—
237C22×D43—21no—
238C22×D43—21no—
239C22×D43—21no—
240C22×D43—21no—
241C22×D43—21no—
242C22×D43—21no—
243C22×D43—28no—
244C22×D43—28no—
245C22×D43—22no—
246C22×D43—44no—
247C22×D43—44no—
248C22×D43—44no—
249C22×D43—44no—
250C22×D43—44no—
251C22×D43—41no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43—41no—
255C22×D43—41no—
256C22×D43—41no—
257C22×D43C2×C22⋊C412yes—
258C22×D43C2×C22⋊C412yes—
259C22×D43#12012yes—
260C22×D43#12312yes—
261Q8×C43—24no—
262Q8×C43—42no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—24no—
266C2×C4×C43—24no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
269C2×C4×C43—24no—
270C2×C4×C43—48no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—42no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—42no—
277C2×C4×C43C2×C22⋊C412yes—
278C2×C4×C43C23×C411yescharacteristic
279C2×C4×C43C22×D412yes—
280C2×C4×C43C22×D411yescharacteristic
281C2×C4×C43C2×#4112yes—
282C22⋊D43—48no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—28no—
286C2×Dic43—22no—
287C2×Dic43—24no—
288C2×Dic43—48no—
289C2×Dic43—42no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—42no—
293C2×Dic43C2×C22⋊C412yes—
294C2×Dic43C2×C22⋊C412yes—
295C2×Dic43#12012yes—
296C2×Dic43#12312yes—
297D172—24no—
298D172—48no—
299D172—48no—
300D172—42no—
301C4×D43—28no—
302C4×D43—24no—
303C4×D43—24no—
304C4×D43—28no—
305C4×D43—48no—
306C4×D43C4×D418yes—
307C4×D43#12118yes—
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#41614yescomplemented
318C22×C43C22×C22⋊C411yescharacteristic
319C22×C43C2×#12011yescharacteristic
320C22×C43C2×#12311yescharacteristic
321C22×C43C2×#13511yescharacteristic
322C22×C43C2×#13511yescharacteristic
323C22×C43#57511yescharacteristic
324C22×C43#57511yescharacteristic
325C2×D43—22no—
326C2×D43—22no—
327C2×D43—22no—
328C2×D43—22no—
329C2×D43—22no—
330C2×D43—22no—
331C2×D43—22no—
332C2×D43—22no—
333C2×D43—22no—
334C2×D43—416no—
335C2×D43—41no—
336C2×D43—41no—
337C2×D43—41no—
338C2×D43—41no—
339C2×D43—42no—
340C2×D43—42no—
341C2×D43—42no—
342C2×D43—81no—
343C2×D43—81no—
344C2×D43—81no—
345C2×D43—81no—
346C2×D43#38614yes—
347C4×C43—22no—
348C4×C43—42no—
349C4×C43—44no—
350C4×C43—42no—
351C4×C43C2×C4×D412yes—
352C4×C43C2×#12112yes—
353Dic43—22no—
354Dic43—42no—
355Dic43—44no—
356Dic43#38614yes—
357C2×#525—431no—
358C22×#117—431no—
359C2×#416—432no—
360C22×C22⋊C8—431no—
361#1875—432no—
362#1874—431no—
363#1874—431no—
364#1873—432no—
365#1872—431no—
366#1872D4311yescharacteristic, complemented
367#1735—432no—
368C2×C43—24no—
369C2×C43C2×#38611yescharacteristic
370C2×C43C2×#41611yescharacteristic
371C2×C43#289611yescharacteristic
372C2×C43#300211yescharacteristic
373C2×C43#300211yescharacteristic
374C2×C43#309111yescharacteristic
375C2×C43#309111yescharacteristic
376D43—24no—
377D43—42no—
378D43—82no—
379C22×#41—431no—
380C24×C4—431no—
381C23×C8—432no—
382#525—438no—
383#525—864no—
384C2×#123—861no—
385C2×C22⋊Q8—431no—
386C2×C22⋊Q8C2×D4311yescharacteristic
387C2×#121—431no—
388C2×#121—431no—
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×#103C2×D4312yescomplemented
405C2×#102—432no—
406C2×#102—432no—
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×Q8C22×D4311yescharacteristic
422C22×D4—431no—
423C22×D4—861no—
424C22×D4—861no—
425C22×D4—861no—
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—22no—
446C22⋊Q8—434no—
447C22⋊Q8—862no—
448C22⋊Q8C4×D4314yes—
449#121—434no—
450#121—434no—
451#121—862no—
452#121—862no—
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—21no—
466C2×C4⋊C4—24no—
467C2×C4⋊C4—432no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—864no—
470C2×C4⋊C4—861no—
471C2×C4⋊C4—861no—
472C2×C4⋊C4C22×D4311yescharacteristic
473C2×C4⋊C4C22×D4312yes—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—862no—
477C2×C22⋊C4—862no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4—868no—
481C2×C22⋊C4—861no—
482C2×C42—862no—
483C2×C42—862no—
484C2×C42—861no—
485C2×C42—868no—
486#103—24no—
487#103—864no—
488#102—864no—
489#102—864no—
490C22⋊C8—22no—
491C22⋊C8—864no—
492C22⋊C8—862no—
493C24—431no—
494C24—431no—
495C24—434no—
496C24—862no—
497C24—862no—
498C24—862no—
499C24—862no—
500C24—861no—
501C24—1721no—
502C24—1721no—
503C24D4×D4311yescharacteristic
504#41—8616no—
505#41—1728no—
506C2×Q8—21no—
507C2×Q8—22no—
508C2×Q8—22no—
509C2×Q8C2×C4×D4312yes—
510C2×D4—432no—
511C2×D4—864no—
512C2×D4—864no—
513C2×D4—864no—
514C2×D4—862no—
515C2×D4—861no—
516C2×D4—862no—
517C2×D4—1722no—
518C2×D4—1722no—
519C2×D4—1722no—
520C2×D4—1722no—
521C2×D4—1722no—
522C2×D4—1722no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—24no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—431no—
532C22×C4—432no—
533C22×C4—434no—
534C22×C4—432no—
535C22×C4—434no—
536C22×C4—434no—
537C22×C4—431no—
538C22×C4—434no—
539C22×C4—434no—
540C22×C4—432no—
541C22×C4—432no—
542C22×C4—862no—
543C22×C4—862no—
544C22×C4—8616no—
545C22×C4—8616no—
546C22×C4—864no—
547C22×C4—862no—
548C22×C4—862no—
549C22×C4—862no—
550C22×C4—862no—
551C22×C4—862no—
552C22×C4—862no—
553C22×C4—864no—
554C22×C4—862no—
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—24no—
573C4⋊C4—22no—
574C4⋊C4—21no—
575C4⋊C4—432no—
576C4⋊C4—434no—
577C4⋊C4—864no—
578C4⋊C4—864no—
579C4⋊C4—862no—
580C4⋊C4—861no—
581C4⋊C4C2×C4×D4312yes—
582C4⋊C4D4×D4314yes—
583C22⋊C4—24no—
584C22⋊C4—864no—
585C22⋊C4—868no—
586C22⋊C4—864no—
587C22⋊C4—864no—
588C22⋊C4—868no—
589C22⋊C4—864no—
590C42—868no—
591C42—864no—
592C42—868no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—432no—
598C23—432no—
599C23—432no—
600C23—432no—
601C23—868no—
602C23—861no—
603C23—861no—
604C23—861no—
605C23—861no—
606C23—861no—
607C23—861no—
608C23—868no—
609C23—861no—
610C23—861no—
611C23—861no—
612C23—861no—
613C23—862no—
614C23—1724no—
615C23—1724no—
616C23—1724no—
617C23—1724no—
618C23—1724no—
619C23—1721no—
620C23—1721no—
621C23—1721no—
622C23—1721no—
623C23—1721no—
624C23—1721no—
625C23C22⋊C4×D4312yes—
626C23#1306334612yes—
627C23#1306334812yes—
628C23C2×D4×D4311yescharacteristic
629Q8—24no—
630Q8—42no—
631D4—864no—
632D4—1728no—
633D4—1728no—
634D4—1728no—
635D4—1722no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—48no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—432no—
651C2×C4—432no—
652C2×C4—432no—
653C2×C4—438no—
654C2×C4—438no—
655C2×C4—432no—
656C2×C4—868no—
657C2×C4—868no—
658C2×C4—868no—
659C2×C4—861no—
660C2×C4—861no—
661C2×C4—864no—
662C2×C4—864no—
663C2×C4—862no—
664C2×C4—864no—
665C2×C4—1728no—
666C2×C4—1728no—
667C2×C4—1721no—
668C2×C4—1722no—
669C2×C4—1721no—
670C2×C4—1722no—
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—434no—
685C22—862no—
686C22—862no—
687C22—862no—
688C22—862no—
689C22—862no—
690C22—862no—
691C22—862no—
692C22—862no—
693C22—862no—
694C22—3441no—
695C22—3441no—
696C22—3441no—
697C22—3441no—
698C22—17216no—
699C22—1722no—
700C22—1722no—
701C22—1722no—
702C22—1721no—
703C22—1721no—
704C22—1721no—
705C22—1721no—
706C22#1458289414yescomplemented
707C22C2×C22⋊C4×D4311yescharacteristic
708C22#120×D4311yescharacteristic
709C22#123×D4311yescharacteristic
710C22C2×#1306334611yescharacteristic
711C22C2×#1306334811yescharacteristic
712C22#1458369511yescharacteristic
713C22#1458369811yescharacteristic
714C4—22no—
715C4—44no—
716C4—42no—
717C4—42no—
718C4—434no—
719C4—862no—
720C4—1724no—
721C4—1722no—
722C4C4×D4×D4312yes—
723C4#121×D4312yes—
724C2—24no—
725C2—864no—
726C2—3442no—
727C2—1722no—
728C2#386×D4311yescharacteristic
729C2C2×#1458289411yescharacteristic
730C2#1914311111yescharacteristic
731C2#1914381411yescharacteristic
732C2#1914381811yescharacteristic
733C2#1914450911yescharacteristic
734C2#1914451111yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1872C2
socleC23×C43C22×D4
prime radicalC2×#14583412C2
cosocleC22×C4×C43C24
hypercenter#1872D43
hypocenterC43#20908
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1872

Complements

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

NH ≅ G/Ntype
2. C22×#13063283C2semidirect
3. C2×#14582894C2semidirect
4. C2×C22⋊C8×D43C2semidirect
5. #19134916C2semidirect
6. #19134912C2semidirect
7. #19134910C2semidirect
8. #19134904C2semidirect
9. #19134903C2semidirect
10. #19134310C2semidirect
11. C43×#1872C2semidirect
16. #14583412C4semidirect
34. C2×#13063249C22semidirect
35. C2×#13063247C22semidirect
36. C2×#13063245C22semidirect
40. #14582662C22semidirect
41. #14582661C22semidirect
42. #14582661C22semidirect
45. C2×#103×C43C22semidirect
47. C43×#340C22semidirect
52. C2×#10621902C2×C4semidirect
74. #13063301C2×C4semidirect
76. #13063300C2×C4semidirect
88. #13063283C2×C4semidirect
89. #13063283D4semidirect
317. C22×C43#416semidirect
366. #1872D43semidirect
404. C2×#103C2×D43semidirect
414. #340C2×D43semidirect
415. C43#20908semidirect
706. C22#14582894semidirect

Maximal subgroups

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

subgroupindex
C2×#145834122
C22×#130632832
C2×#145828942
C2×C22⋊C8×D432
#191349162
#191349122
#191349102
#191349042
#191349032
#191343102
C43×#18722
#2090843