Finite Group Databasebeta

← #25062735

Subgroups — #25062735

Order 11008.

1048 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×#14583485C211yesmaximal, characteristic
2#19143634C211yesmaximal, characteristic, complemented
3#19143621C211yesmaximal, characteristic, complemented
4#19132963C212yesmaximal, complemented
5#19132956C211yesmaximal, characteristic, complemented
6#19132954C211yesmaximal, characteristic, complemented
7#19132945C212yesmaximal, complemented
8#19132943C211yesmaximal, characteristic, complemented
9#19132932C212yesmaximal, complemented
10#19132920C212yesmaximal, complemented
11C43×#1468C211yesmaximal, characteristic, complemented
12#14583485—22no—
13#14583485—22no—
14#14583485—22no—
15#14583485—22no—
16C2×#13063320C2211yescharacteristic
17C2×#13063318C411yescharacteristic
18C2×#13063311C411yescharacteristic
19C2×#13063311C2211yescharacteristic
20C2×#13063310C411yescharacteristic
21C2×#13063305C411yescharacteristic
22C2×#13063299C2211yescharacteristic
23C2×#13063298C411yescharacteristic
24C2×#13063296C411yescharacteristic
25C2×#13063295C411yescharacteristic
26C2×#13063293C411yescharacteristic
27C2×#13063287C2211yescharacteristic
28C2×C4×C22⋊D43C2211yescharacteristic
29C2×C22⋊C4×D43C2211yescharacteristic
30#14582975—22no—
31#14582974—22no—
32#14582970—22no—
33#14582967—22no—
34#14582953C2212yescomplemented
35#14582949C2212yescomplemented
36#14582863C2211yescharacteristic, complemented
37#14582861C2212yes—
38#14582861C2212yes—
39C2×C22⋊(C43⋊C8)C2211yescharacteristic, complemented
40#14582625C2212yescomplemented
41#14582623C2212yes—
42#14582622C2212yes—
43#14582622C2212yes—
44#14582622C2212yescomplemented
45#14582622C2212yescomplemented
46C2×#123×C43C2211yescharacteristic
47C43×#407C2211yescharacteristic, complemented
48C2×C22⋊C8×C43C2211yescharacteristic, complemented
49C43×#324C2212yescomplemented
50C43×#323C2212yes—
51C24×D43C2×C411yescharacteristic
52C22×Dic86C2×C411yescharacteristic
53C22×D172C2×C411yescharacteristic
54C22×D172C2×C411yescharacteristic
55C22×C22⋊D43C2×C411yescharacteristic
56C22×C22⋊D43C2×C411yescharacteristic
57C22×C22⋊D43C2×C411yescharacteristic
58C22×C22⋊D43C2×C411yescharacteristic
59C22×C4×D43C2×C411yescharacteristic
60C22×C4×D43C2×C411yescharacteristic
61C22×C4×D43C2311yescharacteristic
62C2×#10621877—21no—
63C2×#10621872—22no—
64C2×#10621872—22no—
65C22×C43⋊C8—21no—
66#13063320—22no—
67#13063320—22no—
68#13063318—22no—
69#13063318—22no—
70#13063311—22no—
71#13063311—22no—
72#13063311—22no—
73#13063311—22no—
74#13063310—22no—
75#13063310—22no—
76#13063305—22no—
77#13063305—22no—
78#13063299—21no—
79#13063299—21no—
80#13063299—21no—
81#13063299—21no—
82#13063298—22no—
83#13063298—22no—
84#13063296—22no—
85#13063296—22no—
86#13063295—22no—
87#13063295—22no—
88#13063293—22no—
89#13063293—22no—
90#13063287—22no—
91#13063287—22no—
92C4×C22⋊D43D412yes—
93C4×C22⋊D43D412yes—
94C4×C22⋊D43D412yes—
95C4×C22⋊D43D412yes—
96C2×C4⋊Dic43C2×C411yescharacteristic
97C2×C4⋊Dic43C2×C411yescharacteristic
98C2×Dic43⋊C4C2×C411yescharacteristic
99C2×Dic43⋊C4C2×C411yescharacteristic
100C2×C22⋊Dic43C2×C411yescharacteristic
101C2×C22⋊Dic43C2×C411yescharacteristic
102C2×C22⋊Dic43C2×C411yescharacteristic
103C2×(C2×D43)⋊C4C2×C411yescharacteristic
104C2×(C2×D43)⋊C4C2×C411yescharacteristic
105C2×(C2×D43)⋊C4C2×C411yescharacteristic
106C2×(C2×D43)⋊C4C2×C411yescharacteristic
107C2×(C2×D43)⋊C4C2×C411yescharacteristic
108C2×(C2×D43)⋊C4C2×C411yescharacteristic
109C2×(C2×D43)⋊C4C2311yescharacteristic
110C2×(C2×D43)⋊C4C2311yescharacteristic
111C22⋊C4×D43—22no—
112C22⋊C4×D43—22no—
113C2×C4×Dic43C2×C411yescharacteristic
114C2×C4×Dic43C2311yescharacteristic
115Dic43⋊C8—22no—
116Dic43⋊C8—22no—
117C22⋊(C43⋊C8)—21no—
118C22⋊(C43⋊C8)—21no—
119C22⋊(C43⋊C8)C2312yes—
120C22⋊(C43⋊C8)C2312yes—
121(C2×D43)⋊C8—22no—
122(C2×D43)⋊C8—22no—
123#13063235—22no—
124C8×Dic43—22no—
125C22×D4×C43C2×C411yescharacteristic
126C23×C4×C43C2311yescharacteristic
127C2×M16×C43—21no—
128C22×C8×C43—21no—
129#123×C43—21no—
130#123×C43—21no—
131#123×C43—21no—
132#123×C43—21no—
133C2×C4⋊C4×C43C2×C411yescharacteristic
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C22⋊C4×C43C2×C411yescharacteristic
136C2×C22⋊C4×C43C2×C411yescharacteristic
137C2×C22⋊C4×C43C2311yescharacteristic
138C22⋊C8×C43—21no—
139C22⋊C8×C43—21no—
140C22⋊C8×C43C2312yes—
141C22⋊C8×C43C2312yes—
142C24×C43C22×C411yescharacteristic
143C24×C43C22×C411yescharacteristic
144C23×D43—22no—
145C23×D43—42no—
146C23×D43—81no—
147C23×D43—81no—
148C23×D43C22×C411yescharacteristic
149C23×D43C22×C411yescharacteristic
150C23×D43C22×C411yescharacteristic
151C2×D4×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—81no—
154C22×C4×C43—81no—
155C22×C4×C43C22×C411yescharacteristic
156C22×C4×C43C22×C411yescharacteristic
157C22×C4×C43C22×C411yescharacteristic
158C22×C4×C43C22×C411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2411yescharacteristic
164C2×C22⋊D43—22no—
165C2×C22⋊D43—21no—
166C2×C22⋊D43—21no—
167C2×C22⋊D43—21no—
168C2×C22⋊D43—21no—
169C2×C22⋊D43—42no—
170C2×C22⋊D43—81no—
171C2×C22⋊D43—81no—
172C2×C22⋊D43—81no—
173C2×C22⋊D43C22⋊C412yes—
174C2×C22⋊D43C22⋊C412yes—
175C22×Dic43C22×C411yescharacteristic
176C22×Dic43C22×C411yescharacteristic
177C22×Dic43C22×C411yescharacteristic
178C22×Dic43C22×C411yescharacteristic
179C22×Dic43C22×C411yescharacteristic
180C2×D172—21no—
181C2×D172—21no—
182C2×D172—22no—
183C2×D172—42no—
184C2×D172—81no—
185C2×C4×D43—22no—
186C2×C4×D43—22no—
187C2×C4×D43—81no—
188C2×C4×D43—81no—
189C2×C4×D43—81no—
190C2×C4×D43C2×D412yes—
191C2×C4×D43C2×D412yes—
192C2×Dic86—22no—
193C2×Dic86—81no—
194M16×C43—81no—
195C2×C8×C43—22no—
196C2×C8×C43—22no—
197C2×C8×C43—81no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C22⋊C4×C43—21no—
203C22⋊C4×C43—21no—
204C22⋊C4×C43—21no—
205C22⋊C4×C43—21no—
206C22⋊C4×C43—21no—
207C22⋊C4×C43—21no—
208C22⋊Dic43—22no—
209C22⋊Dic43—22no—
210C22⋊Dic43C22⋊C412yes—
211C22⋊Dic43C22⋊C412yes—
212(C2×D43)⋊C4—21no—
213(C2×D43)⋊C4—21no—
214(C2×D43)⋊C4—21no—
215(C2×D43)⋊C4—21no—
216(C2×D43)⋊C4—22no—
217(C2×D43)⋊C4—22no—
218(C2×D43)⋊C4—22no—
219(C2×D43)⋊C4—22no—
220(C2×D43)⋊C4—22no—
221(C2×D43)⋊C4C22⋊C412yes—
222(C2×D43)⋊C4C22⋊C412yes—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43—22no—
226Dic43⋊C4—22no—
227Dic43⋊C4C22⋊C412yes—
228Dic43⋊C4C22⋊C412yes—
229C4×Dic43—22no—
230C4×Dic43C2×D412yes—
231C4×Dic43C2×D412yes—
232#10621877—81no—
233C2×C43⋊C8—22no—
234C2×C43⋊C8—22no—
235C2×C43⋊C8—81no—
236#10621872—82no—
237#10621872—82no—
238C23×C43—22no—
239C23×C43—21no—
240C23×C43—22no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43C2×C22⋊C411yescharacteristic
246C23×C43C2×C22⋊C411yescharacteristic
247C23×C43C23×C411yescharacteristic
248C22×D43—22no—
249C22×D43—21no—
250C22×D43—21no—
251C22×D43—22no—
252C22×D43—22no—
253C22×D43—41no—
254C22×D43—41no—
255C22×D43—44no—
256C22×D43—41no—
257C22×D43—41no—
258C22×D43—41no—
259C22×D43—41no—
260C22×D43—82no—
261C22×D43—82no—
262C22×D43—88no—
263C22×D43C2×C22⋊C412yes—
264D4×C43—81no—
265D4×C43—81no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—22no—
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×C43C2×C22⋊C411yescharacteristic
279C2×C4×C43C2×C22⋊C411yescharacteristic
280C2×C4×C43C22×D411yescharacteristic
281C2×C4×C43C22×D411yescharacteristic
282C22⋊D43—42no—
283C22⋊D43—42no—
284C22⋊D43—82no—
285C22⋊D43—81no—
286C22⋊D43—81no—
287C22⋊D43—81no—
288C22⋊D43—81no—
289C2×Dic43—22no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43C2×C22⋊C412yes—
297C2×Dic43C2×C22⋊C412yes—
298C2×Dic43C2×C22⋊C412yes—
299D172—44no—
300D172—81no—
301D172—81no—
302C4×D43—42no—
303C4×D43—42no—
304C4×D43—82no—
305C4×D43—82no—
306Dic86—82no—
307C8×C43—42no—
308C8×C43—42no—
309C43⋊C8—42no—
310C43⋊C8—42no—
311#17405—431nomaximal, Sylow
312C22×C43—21no—
313C22×C43—21no—
314C22×C43—21no—
315C22×C43—21no—
316C22×C43—21no—
317C22×C43—21no—
318C22×C43—21no—
319C22×C43—21no—
320C22×C43—41no—
321C22×C43—41no—
322C22×C43—41no—
323C22×C43—82no—
324C22×C43—82no—
325C22×C43C22×C22⋊C411yescharacteristic
326C22×C43#56812yes—
327C2×D43—22no—
328C2×D43—22no—
329C2×D43—22no—
330C2×D43—44no—
331C2×D43—41no—
332C2×D43—41no—
333C2×D43—41no—
334C2×D43—41no—
335C2×D43—41no—
336C2×D43—41no—
337C2×D43—88no—
338C2×D43—82no—
339C2×D43—82no—
340C4×C43—21no—
341C4×C43—21no—
342C4×C43—21no—
343C4×C43—21no—
344C4×C43—41no—
345C4×C43—41no—
346C4×C43—41no—
347Dic43—22no—
348Dic43—22no—
349Dic43—22no—
350Dic43—41no—
351Dic43—41no—
352C2×#538—431no—
353#2975—431no—
354#2973—431no—
355#1473—432no—
356#1471—431no—
357#1471—431no—
358#1469—432no—
359#1468—431no—
360#1468D4311yescharacteristic, complemented
361#1465—432no—
362#1462—432no—
363C2×C43—22no—
364C2×C43—41no—
365C2×C43—41no—
366C2×C43—81no—
367C2×C43#287911yescharacteristic
368C2×C43#288311yescharacteristic
369C2×C43#288811yescharacteristic
370D43—42no—
371D43—81no—
372D43—81no—
373#538—862no—
374#538—862no—
375#538—862no—
376#538—862no—
377C2×#126—431no—
378C2×#126—431no—
379C2×#124—431no—
380C2×#124—431no—
381C2×#123—431no—
382C2×#123C2×D4311yescharacteristic
383C2×C22⋊Q8—431no—
384C2×#121—431no—
385C2×#121—431no—
386C2×#121—431no—
387C2×#120—431no—
388C2×#120—431no—
389C2×C4×D4—431no—
390C2×C4×D4—431no—
391C22×C22⋊C4—431no—
392#436—862no—
393#436—862no—
394#435—862no—
395#435—862no—
396#432—432no—
397#431—432no—
398#407—431no—
399#407—432no—
400#407—432no—
401#407C2×D4311yescharacteristic, complemented
402C2×C22⋊C8—431no—
403C2×C22⋊C8C2×D4311yescharacteristic, complemented
404#324—432no—
405#324C2×D4312yescomplemented
406#323—432no—
407#323—432no—
408#323—432no—
409#323—432no—
410#323—432no—
411#323C2×D4312yes—
412C43#1740511yescharacteristic, complemented, Sylow
413C25—431no—
414C22×Q8—431no—
415C22×D4—431no—
416C22×D4—431no—
417C22×D4—431no—
418C22×D4—431no—
419C22×D4—431no—
420C22×D4—431no—
421C22×D4C4×D4311yescharacteristic
422C23×C4—431no—
423C23×C4—431no—
424C23×C4—431no—
425C23×C4C22×D4311yescharacteristic
426C2×M16—21no—
427C2×M16—862no—
428C2×M16—862no—
429C2×M16—861no—
430C22×C8—21no—
431C22×C8—861no—
432#126—862no—
433#126—862no—
434#126—862no—
435#126—862no—
436#124—862no—
437#124—862no—
438#124—862no—
439#124—862no—
440#123—21no—
441#123—21no—
442#123—21no—
443#123—21no—
444#123—862no—
445#123—862no—
446C22⋊Q8—862no—
447C22⋊Q8—862no—
448#121—862no—
449#121—862no—
450#121—862no—
451#121—862no—
452#121—861no—
453#121—861no—
454#121—861no—
455#121—861no—
456#120—862no—
457#120—862no—
458#120—862no—
459#120—862no—
460C4×D4—432no—
461C4×D4—432no—
462C4×D4—432no—
463C4×D4—432no—
464C4×D4—862no—
465C4×D4—862no—
466C2×C4⋊C4—431no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4C4×D4311yescharacteristic
471C2×C4⋊C4C22×D4311yescharacteristic
472C2×C22⋊C4—431no—
473C2×C22⋊C4—431no—
474C2×C22⋊C4—431no—
475C2×C22⋊C4—431no—
476C2×C22⋊C4—431no—
477C2×C22⋊C4—431no—
478C2×C22⋊C4—431no—
479C2×C22⋊C4—431no—
480C2×C22⋊C4—431no—
481C2×C22⋊C4—431no—
482C2×C22⋊C4—431no—
483C2×C22⋊C4—862no—
484C2×C22⋊C4—862no—
485C2×C22⋊C4C4×D4311yescharacteristic
486C2×C22⋊C4C4×D4311yescharacteristic
487C2×C22⋊C4C22×D4311yescharacteristic
488C2×C42—431no—
489C2×C42—431no—
490C4⋊C8—862no—
491C4⋊C8—862no—
492C22⋊C8—21no—
493C22⋊C8—21no—
494C22⋊C8—432no—
495C22⋊C8—432no—
496C22⋊C8—862no—
497C22⋊C8—862no—
498C22⋊C8—861no—
499C22⋊C8—861no—
500C22⋊C8C22×D4312yes—
501C22⋊C8C22×D4312yes—
502#97—862no—
503C4×C8—862no—
504C24—431no—
505C24—431no—
506C24—431no—
507C24—862no—
508C24—3441no—
509C24—3441no—
510C24—1722no—
511C24C2×C4×D4311yescharacteristic
512C24C2×C4×D4311yescharacteristic
513C2×Q8—862no—
514C2×Q8—3441no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—81no—
518C2×D4—432no—
519C2×D4—432no—
520C2×D4—862no—
521C2×D4—862no—
522C2×D4—861no—
523C2×D4—861no—
524C2×D4—861no—
525C2×D4—861no—
526C2×D4—861no—
527C2×D4—861no—
528C2×D4—3441no—
529C2×D4—3441no—
530C2×D4—3441no—
531C2×D4—3441no—
532C2×D4—1722no—
533C2×D4—1722no—
534C22×C4—81no—
535C22×C4—431no—
536C22×C4—431no—
537C22×C4—431no—
538C22×C4—432no—
539C22×C4—432no—
540C22×C4—431no—
541C22×C4—431no—
542C22×C4—862no—
543C22×C4—862no—
544C22×C4—3441no—
545C22×C4—3441no—
546C22×C4—3441no—
547C22×C4C2×C4×D4311yescharacteristic
548C22×C4C2×C4×D4311yescharacteristic
549C22×C4C2×C4×D4311yescharacteristic
550C22×C4C2×C4×D4311yescharacteristic
551C22×C4D4×D4311yescharacteristic
552C22×C4D4×D4311yescharacteristic
553C22×C4D4×D4311yescharacteristic
554C22×C4D4×D4311yescharacteristic
555C22×C4C23×D4311yescharacteristic
556M16—81no—
557M16—3442no—
558M16—3442no—
559M16—3441no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—81no—
563C2×C8—862no—
564C2×C8—862no—
565C2×C8—3441no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—432no—
571C4⋊C4—432no—
572C4⋊C4—862no—
573C4⋊C4—862no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—432no—
583C22⋊C4—432no—
584C22⋊C4—432no—
585C22⋊C4—432no—
586C22⋊C4—862no—
587C22⋊C4—862no—
588C22⋊C4—862no—
589C22⋊C4—862no—
590C22⋊C4—862no—
591C22⋊C4—862no—
592C22⋊C4—862no—
593C22⋊C4—861no—
594C22⋊C4—861no—
595C22⋊C4—861no—
596C22⋊C4—861no—
597C42—432no—
598C42—432no—
599C42—862no—
600C23—22no—
601C23—21no—
602C23—22no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—432no—
608C23—862no—
609C23—862no—
610C23—862no—
611C23—861no—
612C23—861no—
613C23—3442no—
614C23—3442no—
615C23—3448no—
616C23—1721no—
617C23—1721no—
618C23—1721no—
619C23—1721no—
620C23—1721no—
621C23—1721no—
622C23—1724no—
623C23C22⋊C4×D4311yescharacteristic
624C23C22⋊C4×D4311yescharacteristic
625C23C22×C4×D4311yescharacteristic
626Q8—3442no—
627D4—81no—
628D4—81no—
629D4—3441no—
630D4—3441no—
631D4—3442no—
632D4—3441no—
633D4—3441no—
634D4—3441no—
635D4—3441no—
636D4—1724no—
637D4—1722no—
638D4—1722no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—432no—
652C2×C4—432no—
653C2×C4—432no—
654C2×C4—862no—
655C2×C4—861no—
656C2×C4—861no—
657C2×C4—3442no—
658C2×C4—3442no—
659C2×C4—1722no—
660C2×C4—1722no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4C22⋊C4×D4311yescharacteristic
666C2×C4C22⋊C4×D4311yescharacteristic
667C2×C4C2×D4×D4311yescharacteristic
668C2×C4C2×D4×D4311yescharacteristic
669C8—42no—
670C8—42no—
671C8—1722no—
672C8—1722no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—21no—
679C22—21no—
680C22—21no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—82no—
685C22—82no—
686C22—862no—
687C22—862no—
688C22—862no—
689C22—3442no—
690C22—3442no—
691C22—3448no—
692C22—1724no—
693C22—1721no—
694C22—1721no—
695C22—1721no—
696C22—1721no—
697C22—1721no—
698C22—1721no—
699C22C2×C22⋊C4×D4311yescharacteristic
700C22#1458366412yes—
701C4—21no—
702C4—21no—
703C4—21no—
704C4—21no—
705C4—41no—
706C4—41no—
707C4—41no—
708C4—862no—
709C4—862no—
710C4—862no—
711C4—1721no—
712C4—1721no—
713C2—22no—
714C2—41no—
715C2—41no—
716C2—81no—
717C2—3441no—
718C2—3441no—
719C2—1722no—
720C2#1914303711yescharacteristic
721C2#1914305311yescharacteristic
722C2#1914307211yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC23×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1468C2
socleC22×C43C22×C22⋊C4
prime radicalC2×#14583485C2
cosocleC22×C4×C43C24
hypercenter#1468D43
hypocenterC43#17405
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1468

Complements

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

NH ≅ G/Ntype
2. #19143634C2semidirect
3. #19143621C2semidirect
4. #19132963C2semidirect
5. #19132956C2semidirect
6. #19132954C2semidirect
7. #19132945C2semidirect
8. #19132943C2semidirect
9. #19132932C2semidirect
10. #19132920C2semidirect
11. C43×#1468C2semidirect
34. #14582953C22semidirect
35. #14582949C22semidirect
36. #14582863C22semidirect
39. C2×C22⋊(C43⋊C8)C22semidirect
40. #14582625C22semidirect
44. #14582622C22semidirect
45. #14582622C22semidirect
47. C43×#407C22semidirect
48. C2×C22⋊C8×C43C22semidirect
49. C43×#324C22semidirect
360. #1468D43semidirect
401. #407C2×D43semidirect
403. C2×C22⋊C8C2×D43semidirect
405. #324C2×D43semidirect
412. C43#17405semidirect

Maximal subgroups

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

subgroupindex
C2×#145834852
#191436342
#191436212
#191329632
#191329562
#191329542
#191329452
#191329432
#191329322
#191329202
C43×#14682
#1740543