Finite Group Databasebeta

← #25106367

Subgroups — #25106367

Order 11008.

1086 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583523C211yesmaximal, characteristic
2C2×#14582958C211yesmaximal, characteristic, complemented
3#19137216C211yesmaximal, characteristic, complemented
4#19135569C211yesmaximal, characteristic, complemented
5#19135409C211yesmaximal, characteristic, complemented
6#19135406C211yesmaximal, characteristic, complemented
7#19134916C211yesmaximal, characteristic
8#19134911C211yesmaximal, characteristic
9#19134906C211yesmaximal, characteristic, complemented
10#19134901C211yesmaximal, characteristic, complemented
11#19134609C211yesmaximal, characteristic, complemented
12#19134604C211yesmaximal, characteristic, complemented
13#19134599C211yesmaximal, characteristic, complemented
14#19134594C211yesmaximal, characteristic, complemented
15C43×#1990C211yesmaximal, characteristic, complemented
16#14583523—24no—
17#14583523C418yescomplemented
18C2×#13063320—21no—
19C2×#13063314—21no—
20C2×#13063313C2211yescharacteristic
21C2×#13063310—21no—
22C2×#13063305C2211yescharacteristic
23C2×#13063301—21no—
24C2×#13063300C2211yescharacteristic
25C2×#13063290C2211yescharacteristic
26C2×#13063287C2211yescharacteristic
27C2×#13063283C2211yescharacteristic
28C2×#13063282C2211yescharacteristic
29C2×C4⋊C4×D43C2211yescharacteristic
30#14582958—24no—
31C2×Dic43⋊C8C2211yescharacteristic
32C2×Dic43⋊C8C2211yescharacteristic
33C2×#13063250C2211yescharacteristic
34C2×#13063250C2211yescharacteristic
35C2×#13063248C2211yescharacteristic
36C2×#13063248C2211yescharacteristic
37C2×#13063247C2211yescharacteristic
38C2×#13063247C2211yescharacteristic
39C2×#13063245C2211yescharacteristic
40C2×#13063245C2211yescharacteristic
41C2×(C2×D43)⋊C8C2211yescharacteristic
42C2×(C2×D43)⋊C8C2211yescharacteristic
43C2×#13063236C2211yescharacteristic
44#14582794—21no—
45#14582794—21no—
46#14582770—21no—
47#14582770—21no—
48#14582768C2211yescharacteristic
49#14582765C2211yescharacteristic
50#14582764C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×C4⋊Q8×C43C2211yescharacteristic
56C2×C4×C8×C43C2211yescharacteristic
57C43×#384C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C43×#340C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×D172—21no—
64C22×D172C2311yescharacteristic
65C22×C4×D43—21no—
66C22×C4×D43—21no—
67C22×C4×D43C2311yescharacteristic
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70#13063320—28no—
71#13063314—28no—
72#13063313—22no—
73#13063313C2×C414yescomplemented
74#13063310—28no—
75#13063305—22no—
76#13063305C2×C414yes—
77#13063301—28no—
78#13063300—22no—
79#13063300C2×C414yes—
80#13063290—22no—
81#13063290C2×C414yescomplemented
82#13063287—22no—
83#13063287C2×C414yescomplemented
84#13063283—41no—
85#13063283—41no—
86#13063282C2×C414yes—
87#13063282D414yes—
88C2×C4⋊Dic43—21no—
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×Dic43⋊C4—21no—
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—21no—
94C2×Dic43⋊C4—21no—
95C2×Dic43⋊C4D411yescharacteristic
96C2×Dic43⋊C4D411yescharacteristic
97C4⋊C4×D43—41no—
98C4⋊C4×D43—41no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4—21no—
104C2×(C2×D43)⋊C4—21no—
105C2×(C2×D43)⋊C4D411yescharacteristic
106C2×(C2×D43)⋊C4D411yescharacteristic
107C2×C4×Dic43—21no—
108C2×C4×Dic43—21no—
109C2×C4×Dic43C2311yescharacteristic
110Dic43⋊C8—22no—
111Dic43⋊C8—22no—
112#13063250—41no—
113#13063250—41no—
114#13063248—41no—
115#13063248—41no—
116#13063247—41no—
117#13063247—41no—
118#13063245—41no—
119#13063245—41no—
120(C2×D43)⋊C8—22no—
121(C2×D43)⋊C8—22no—
122#13063236—22no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C43⋊#95—21no—
126C43⋊#95—21no—
127C22×Q8×C43—21no—
128C22×C8×C43C2311yescharacteristic
129C22×C8×C43C2311yescharacteristic
130C4⋊Q8×C43—22no—
131C4⋊Q8×C43C2×C414yescomplemented
132C2×C4⋊C4×C43—21no—
133C2×C4⋊C4×C43—21no—
134C2×C4⋊C4×C43—21no—
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C4⋊C4×C43C2311yescharacteristic
137C2×C4⋊C4×C43C2311yescharacteristic
138C2×C4⋊C4×C43C2311yescharacteristic
139C2×C42×C43C2311yescharacteristic
140C4×C8×C43—22no—
141C23×D43—21no—
142C23×D43C2×D411yescharacteristic
143C2×Q8×C43—24no—
144C2×Q8×C43—81no—
145C2×Q8×C43—81no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2411yescharacteristic
153C22×Dic43—21no—
154C22×Dic43—21no—
155C22×Dic43—21no—
156C22×Dic43C2×D411yescharacteristic
157C22×Dic43C2×D411yescharacteristic
158C22×Dic43C2×D411yescharacteristic
159C2×D172—21no—
160C2×D172—24no—
161C2×D172—21no—
162C2×D172—21no—
163C2×D172—21no—
164C2×D172—21no—
165C2×D172—81no—
166C2×D172—81no—
167C2×D172C22×C412yes—
168C2×C4×D43—21no—
169C2×C4×D43—21no—
170C2×C4×D43—21no—
171C2×C4×D43—21no—
172C2×C4×D43—24no—
173C2×C4×D43—42no—
174C2×C4×D43—81no—
175C2×C4×D43—81no—
176C2×C4×D43—81no—
177C2×C4×D43—81no—
178C2×C4×D43C22×C412yes—
179C2×C4×D43C2×D412yes—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86C22×C412yes—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C4⋊C4×C43—24no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—81no—
200C4⋊C4×C43—81no—
201C4⋊C4×C43C22×C412yes—
202C4⋊C4×C43C22×C412yes—
203C42×C43C22×C412yes—
204C42×C43C2×D412yes—
205(C2×D43)⋊C4—24no—
206(C2×D43)⋊C4—24no—
207(C2×D43)⋊C4—24no—
208(C2×D43)⋊C4—24no—
209(C2×D43)⋊C4—24no—
210(C2×D43)⋊C4—42no—
211(C2×D43)⋊C4C22⋊C414yes—
212(C2×D43)⋊C4C22⋊C414yes—
213C4⋊Dic43—24no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218Dic43⋊C4—24no—
219Dic43⋊C4—42no—
220Dic43⋊C4—81no—
221Dic43⋊C4—81no—
222Dic43⋊C4C22⋊C414yes—
223Dic43⋊C4C22⋊C414yes—
224C4×Dic43—24no—
225C4×Dic43—42no—
226C4×Dic43C22×C412yes—
227C4×Dic43C2×D412yes—
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×C43C22×D411yescharacteristic
235C22×D43—21no—
236C22×D43—21no—
237C22×D43—21no—
238C22×D43—21no—
239C22×D43—21no—
240C22×D43—21no—
241C22×D43—22no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248C22×D43C2×C22⋊C412yes—
249Q8×C43—84no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43C2×C22⋊C412yes—
267C2×C4×C43C2×C22⋊C412yes—
268C2×C4×C43C23×C411yescharacteristic
269C2×C4×C43C22×D411yescharacteristic
270C2×C4×C43H(5,𝔽2)11yescharacteristic
271C2×C4×C43H(5,𝔽2)11yescharacteristic
272C2×C4×C432−1+411yescharacteristic
273C2×C4×C432−1+411yescharacteristic
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—22no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43C2×C22⋊C412yes—
290C2×Dic43C2×C22⋊C412yes—
291C2×Dic43C2×C22⋊C412yes—
292D172—22no—
293D172—22no—
294D172—41no—
295D172—41no—
296D172—84no—
297C4×D43—22no—
298C4×D43—22no—
299C4×D43—22no—
300C4×D43—22no—
301C4×D43—84no—
302C4×D43—84no—
303Dic86—22no—
304Dic86—22no—
305Dic86—41no—
306Dic86—41no—
307C8×C43—41no—
308C8×C43—41no—
309C43⋊C8—41no—
310C43⋊C8—41no—
311#21871—431nomaximal, Sylow
312C22×C43C22×C22⋊C411yescharacteristic
313C22×C43#53511yescharacteristic
314C22×C43#53611yescharacteristic
315C22×C43#57611yescharacteristic
316C22×C43#57711yescharacteristic
317C22×C43#57711yescharacteristic
318C22×C43#57811yescharacteristic
319C2×D43—22no—
320C2×D43—22no—
321C2×D43—22no—
322C2×D43—41no—
323C2×D43—41no—
324C2×D43—41no—
325C2×D43—41no—
326C2×D43—42no—
327C2×D43—42no—
328C2×D43—42no—
329C2×D43—81no—
330C2×D43—81no—
331C2×D43—81no—
332C2×D43—81no—
333C4×C43—22no—
334C4×C43—22no—
335C4×C43—42no—
336C4×C43—42no—
337C4×C43—81no—
338C4×C43—81no—
339C4×C43#52011yescharacteristic
340C4×C43#52011yescharacteristic
341C4×C43#53711yescharacteristic
342C4×C43#53711yescharacteristic
343Dic43—22no—
344Dic43—22no—
345Dic43—22no—
346Dic43—42no—
347Dic43—81no—
348Dic43—81no—
349C2×#542—431no—
350C2×#433—431no—
351#2317—431no—
352#1993—431no—
353#1990D4311yescharacteristic, complemented
354#1959—431no—
355#1958—431no—
356#1875—431no—
357#1874—431no—
358#1873—431no—
359#1872—431no—
360#1805—431no—
361#1804—431no—
362#1803—431no—
363#1802—431no—
364C2×C43#231111yescharacteristic
365C2×C43#289711yescharacteristic
366C2×C43#289811yescharacteristic
367C2×C43#322411yescharacteristic
368C2×C43#322511yescharacteristic
369C2×C43#324311yescharacteristic
370C2×C43#324411yescharacteristic
371D43—42no—
372D43—82no—
373#542—438no—
374#542—864no—
375C2×C4⋊Q8C2×D4311yescharacteristic
376C2×#126—861no—
377C2×#124—431no—
378C2×#124—861no—
379C2×#123—861no—
380C2×C22⋊Q8—431no—
381C2×C22⋊Q8—861no—
382C2×#121—431no—
383C2×C4×Q8—431no—
384C2×C4×D4—431no—
385C2×#117—431no—
386C2×#117—431no—
387C22×C4⋊C4—431no—
388#433—864no—
389C2×C4⋊C8—431no—
390C2×C4⋊C8—431no—
391C2×#103—431no—
392C2×#103—431no—
393C2×#103—431no—
394C2×#103—431no—
395C2×#102—431no—
396C2×#102—431no—
397C2×#102—431no—
398C2×#102—431no—
399C2×C22⋊C8—431no—
400C2×C22⋊C8—431no—
401C2×#97—431no—
402C2×C4×C8C2×D4311yescharacteristic
403#389—861no—
404#389—861no—
405#385—861no—
406#385—861no—
407#384—431no—
408#384C2×D4311yescharacteristic
409#382—431no—
410#382—431no—
411#340—431no—
412#340—431no—
413#340—431no—
414#340—431no—
415#340C2×D4311yescharacteristic
416#340C2×D4311yescharacteristic
417#340C2×D4311yescharacteristic
418#340C2×D4311yescharacteristic
419C43#2187111yescharacteristic, complemented, Sylow
420C22×Q8—21no—
421C22×Q8—431no—
422C22×D4—431no—
423C22×D4—861no—
424C23×C4—431no—
425C23×C4—861no—
426C23×C4—861no—
427C22×C8—431no—
428C22×C8—431no—
429C22×C8C22×D4311yescharacteristic
430C22×C8C22×D4311yescharacteristic
431C4⋊Q8—22no—
432C4⋊Q8C4×D4314yescomplemented
433#126—868no—
434#124—434no—
435#124—868no—
436#124—862no—
437#123—868no—
438C22⋊Q8—434no—
439C22⋊Q8—862no—
440C22⋊Q8—868no—
441#121—434no—
442#121—862no—
443C4×Q8—434no—
444C4×Q8—862no—
445C4×D4—434no—
446C4×D4—862no—
447#117—434no—
448#117—434no—
449#117—1721no—
450#117—1721no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—431no—
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⋊C4—861no—
462C2×C4⋊C4—861no—
463C2×C4⋊C4—1721no—
464C2×C4⋊C4—1721no—
465C2×C4⋊C4C22×D4311yescharacteristic
466C2×C4⋊C4C22×D4311yescharacteristic
467C2×C4⋊C4C22×D4311yescharacteristic
468C2×C4⋊C4C22×D4311yescharacteristic
469C2×C22⋊C4—431no—
470C2×C22⋊C4—431no—
471C2×C22⋊C4—861no—
472C2×C22⋊C4—861no—
473C2×C22⋊C4—861no—
474C2×C22⋊C4—861no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C42—431no—
478C2×C42—861no—
479C2×C42—861no—
480C2×C42C22×D4311yescharacteristic
481C4⋊C8—862no—
482C4⋊C8—862no—
483#103—1721no—
484#103—1721no—
485#103—1721no—
486#103—1721no—
487#102—1721no—
488#102—1721no—
489#102—1721no—
490#102—1721no—
491C22⋊C8—862no—
492C22⋊C8—862no—
493#97—862no—
494C4×C8—22no—
495#95—861no—
496#95—861no—
497#95—861no—
498#95—861no—
499C24—431no—
500C24—861no—
501C2×Q8—24no—
502C2×Q8—81no—
503C2×Q8—81no—
504C2×Q8—432no—
505C2×Q8—861no—
506C2×Q8—861no—
507C2×Q8—861no—
508C2×Q8—861no—
509C2×Q8—861no—
510C2×D4—432no—
511C2×D4—864no—
512C2×D4—861no—
513C2×D4—861no—
514C2×D4—861no—
515C2×D4—861no—
516C2×D4—861no—
517C2×D4—3441no—
518C2×D4—3441no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—431no—
524C22×C4—431no—
525C22×C4—431no—
526C22×C4—432no—
527C22×C4—432no—
528C22×C4—864no—
529C22×C4—861no—
530C22×C4—861no—
531C22×C4—861no—
532C22×C4—861no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—3441no—
537C22×C4—3441no—
538C22×C4—3441no—
539C22×C4—3441no—
540C22×C4—1722no—
541C22×C4D4×D4311yescharacteristic
542C22×C4D4×D4311yescharacteristic
543C22×C4C23×D4311yescharacteristic
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—861no—
551C2×C8—861no—
552C2×C8—861no—
553C2×C8—861no—
554C2×C8—861no—
555C2×C8—861no—
556C4⋊C4—24no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—81no—
564C4⋊C4—81no—
565C4⋊C4—434no—
566C4⋊C4—434no—
567C4⋊C4—864no—
568C4⋊C4—864no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—3441no—
574C4⋊C4—3441no—
575C4⋊C4—1722no—
576C4⋊C4C2×C4×D4312yes—
577C4⋊C4C2×C4×D4312yes—
578C22⋊C4—434no—
579C22⋊C4—434no—
580C22⋊C4—864no—
581C22⋊C4—864no—
582C22⋊C4—864no—
583C22⋊C4—864no—
584C22⋊C4—864no—
585C22⋊C4—1722no—
586C42—432no—
587C42—432no—
588C42—864no—
589C42—1722no—
590C42C2×C4×D4312yes—
591C42D4×D4312yes—
592C23—432no—
593C23—861no—
594C23—861no—
595C23—861no—
596C23—861no—
597C23—861no—
598C23—861no—
599C23—862no—
600C23—1721no—
601C23—1721no—
602C23—1721no—
603C23—1721no—
604C23—1721no—
605C23—1721no—
606C23C2×D4×D4311yescharacteristic
607Q8—84no—
608Q8—862no—
609Q8—862no—
610Q8—1721no—
611Q8—1721no—
612D4—862no—
613D4—862no—
614D4—3444no—
615D4—1721no—
616D4—1721no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—432no—
634C2×C4—432no—
635C2×C4—432no—
636C2×C4—861no—
637C2×C4—861no—
638C2×C4—861no—
639C2×C4—861no—
640C2×C4—861no—
641C2×C4—861no—
642C2×C4—862no—
643C2×C4—862no—
644C2×C4—862no—
645C2×C4—862no—
646C2×C4—862no—
647C2×C4—3444no—
648C2×C4—3444no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4C22⋊C4×D4312yes—
658C2×C4C22⋊C4×D4312yes—
659C2×C4C22×C4×D4311yescharacteristic
660C2×C4C2×D4×D4311yescharacteristic
661C2×C4#1306337111yescharacteristic
662C2×C4#1306337111yescharacteristic
663C2×C4#1306337311yescharacteristic
664C2×C4#1306337311yescharacteristic
665C8—41no—
666C8—41no—
667C8—1721no—
668C8—1721no—
669C22—862no—
670C22—862no—
671C22—862no—
672C22—3441no—
673C22—3441no—
674C22—3441no—
675C22—3441no—
676C22—1722no—
677C22—1722no—
678C22—1722no—
679C22—1721no—
680C22—1721no—
681C22—1721no—
682C22—1721no—
683C22C2×C22⋊C4×D4311yescharacteristic
684C22#1458346711yescharacteristic
685C22#1458347411yescharacteristic
686C22#1458370011yescharacteristic
687C22#1458370511yescharacteristic
688C22#1458370511yescharacteristic
689C22#1458371211yescharacteristic
690C4—22no—
691C4—22no—
692C4—42no—
693C4—42no—
694C4—81no—
695C4—81no—
696C4—862no—
697C4—862no—
698C4—862no—
699C4—3441no—
700C4—3441no—
701C4—1722no—
702C4#1458338111yescharacteristic
703C4#1458338111yescharacteristic
704C4#1458347911yescharacteristic
705C4#1458347911yescharacteristic
706C2—3442no—
707C2—1722no—
708C2#1913718611yescharacteristic
709C2#1914311611yescharacteristic
710C2#1914312311yescharacteristic
711C2#1914569211yescharacteristic
712C2#1914570711yescharacteristic
713C2#1914588111yescharacteristic
714C2#1914589611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1990C2
socleC23×C43C22×D4
prime radicalC2×#13063300C22
cosocleC22×C4×C43C24
hypercenter#1990D43
hypocenterC43#21871
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1990

Complements

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

NH ≅ G/Ntype
2. C2×#14582958C2semidirect
3. #19137216C2semidirect
4. #19135569C2semidirect
5. #19135409C2semidirect
6. #19135406C2semidirect
9. #19134906C2semidirect
10. #19134901C2semidirect
11. #19134609C2semidirect
12. #19134604C2semidirect
13. #19134599C2semidirect
14. #19134594C2semidirect
15. C43×#1990C2semidirect
17. #14583523C4semidirect
73. #13063313C2×C4semidirect
81. #13063290C2×C4semidirect
83. #13063287C2×C4semidirect
131. C4⋊Q8×C43C2×C4semidirect
353. #1990D43semidirect
419. C43#21871semidirect
432. C4⋊Q8C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145835232
C2×#145829582
#191372162
#191355692
#191354092
#191354062
#191349162
#191349112
#191349062
#191349012
#191346092
#191346042
#191345992
#191345942
C43×#19902
#2187143