Finite Group Databasebeta

← #25107970

Subgroups — #25107970

Order 11008.

976 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583040C211yesmaximal, characteristic
2#19137288C211yesmaximal, characteristic
3#19137179C211yesmaximal, characteristic, complemented
4#19135476C211yesmaximal, characteristic, complemented
5#19135449C211yesmaximal, characteristic, complemented
6#19135285C211yesmaximal, characteristic, complemented
7#19135271C211yesmaximal, characteristic, complemented
8#19135237C211yesmaximal, characteristic, complemented
9#19135230C211yesmaximal, characteristic, complemented
10#19134928C211yesmaximal, characteristic, complemented
11#19134928C211yesmaximal, characteristic, complemented
12#19134915C211yesmaximal, characteristic
13#19134796C211yesmaximal, characteristic, complemented
14#19134531C211yesmaximal, characteristic, complemented
15C43×#1750C211yesmaximal, characteristic, complemented
16C23×Dic86C2211yescharacteristic
17C22×#10621873C2211yescharacteristic
18C22×#10621873C2211yescharacteristic
19C2×#13063299C2211yescharacteristic
20C2×C4×D172C2211yescharacteristic
21C2×#13063284C2211yescharacteristic
22#14583040C418yescomplemented
23C2×#13063259C2211yescharacteristic
24C2×#13063257C2211yescharacteristic
25C2×#13063250C2211yescharacteristic
26C2×#13063250C2211yescharacteristic
27C2×#13063250C2211yescharacteristic
28C2×#13063250C2211yescharacteristic
29C2×#13063250C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063247C2211yescharacteristic
32C2×#13063247C2211yescharacteristic
33#14582805C2211yescharacteristic
34#14582805C2211yescharacteristic
35#14582805C2211yescharacteristic
36#14582805C2211yescharacteristic
37#14582804—21no—
38#14582804—21no—
39#14582801C2211yescharacteristic
40#14582799—21no—
41#14582797C2211yescharacteristic
42#14582789—21no—
43#14582775—21no—
44#14582770—21no—
45#14582760—21no—
46#14582760—21no—
47#14582759C2211yescharacteristic
48C4×C4⋊Dic43C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53C2×#117×C43C2211yescharacteristic
54C2×C22⋊C8×C43C2211yescharacteristic
55C2×C22⋊C8×C43C2211yescharacteristic
56C2×#97×C43C2211yescharacteristic
57C2×C4×C8×C43C2211yescharacteristic
58C43×#336C2211yescharacteristic
59C43×#336C2211yescharacteristic
60C22×Dic86—21no—
61C22×Dic86—22no—
62C22×Dic86—41no—
63C22×Dic86—41no—
64C22×Dic86—41no—
65C22×Dic86—41no—
66C22×Dic86C2×C414yescomplemented
67C22×Dic86C2311yescharacteristic
68C22×Dic86C2311yescharacteristic
69C22×D172C2311yescharacteristic
70C22×C22⋊D43—21no—
71C23×Dic43—21no—
72C22×C4×D43—21no—
73C2×#10621873—41no—
74C2×#10621873—41no—
75C2×#10621873—41no—
76C2×#10621873—41no—
77C2×#10621873C2×C414yes—
78C2×#10621873C2×C414yes—
79#13063299—22no—
80#13063299C2×C414yes—
81C4×D172—41no—
82C4×D172—41no—
83#13063284—41no—
84#13063284—41no—
85C2×C4⋊Dic43C2311yescharacteristic
86C2×C4⋊Dic43C2311yescharacteristic
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×Dic43⋊C4—21no—
91C2×C22⋊Dic43—21no—
92C2×C22⋊Dic43—21no—
93C2×(C2×D43)⋊C4—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×C4×Dic43—21no—
98C2×C4×Dic43—21no—
99#13063259—41no—
100#13063257—41no—
101#13063250—41no—
102#13063250—41no—
103#13063250—41no—
104#13063250—41no—
105#13063250C2×C414yescomplemented
106#13063250C2×C414yescomplemented
107#13063247—41no—
108#13063247—41no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C23×C4×C43C2311yescharacteristic
121C22×C8×C43C2311yescharacteristic
122C22×C8×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125#117×C43—41no—
126#117×C43—41no—
127C2×C4⋊C4×C43D411yescharacteristic
128C2×C4⋊C4×C43D411yescharacteristic
129C2×C22⋊C4×C43D411yescharacteristic
130C2×C22⋊C4×C43D411yescharacteristic
131C2×C42×C43C2311yescharacteristic
132C2×C42×C43C2311yescharacteristic
133C22⋊C8×C43—22no—
134C22⋊C8×C43C2×C414yescomplemented
135#97×C43—41no—
136C4×C8×C43—41no—
137C24×C43C2×D411yescharacteristic
138C23×D43—21no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43C22×C412yes—
144C22×C4×C43C2×D411yescharacteristic
145C22×C4×C43C2×D411yescharacteristic
146C22×C4×C43C2×D411yescharacteristic
147C22×C4×C43C2×D411yescharacteristic
148C22×C4×C43C2×D411yescharacteristic
149C22×C4×C43#4112yes—
150C22×C4×C43C2411yescharacteristic
151C2×C22⋊D43—24no—
152C2×C22⋊D43—81no—
153C2×C22⋊D43—81no—
154C22×Dic43—24no—
155C22×Dic43—21no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—42no—
163C22×Dic43—42no—
164C2×D172—21no—
165C2×D172—21no—
166C2×D172—21no—
167C2×D172—21no—
168C2×D172—21no—
169C2×D172C22×C412yes—
170C2×C4×D43—42no—
171C2×C4×D43—81no—
172C2×C4×D43—81no—
173C2×Dic86—21no—
174C2×Dic86—21no—
175C2×Dic86—21no—
176C2×Dic86—21no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—24no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—44no—
185C2×Dic86—44no—
186C2×Dic86—42no—
187C2×Dic86—42no—
188C2×Dic86—44no—
189C2×Dic86—44no—
190C2×Dic86C22×C412yes—
191C2×Dic86C22×C412yes—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C2×C8×C43C22×C412yes—
203C2×C8×C43C22×C412yes—
204C4⋊C4×C43—41no—
205C4⋊C4×C43—41no—
206C22⋊C4×C43—41no—
207C22⋊C4×C43—41no—
208C42×C43—21no—
209C42×C43—21no—
210C42×C43—21no—
211C42×C43—21no—
212C22⋊Dic43—42no—
213C22⋊Dic43—81no—
214(C2×D43)⋊C4—24no—
215(C2×D43)⋊C4—42no—
216(C2×D43)⋊C4—81no—
217(C2×D43)⋊C4—81no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43—21no—
226C4⋊Dic43—21no—
227C4⋊Dic43C22×C412yes—
228Dic43⋊C4—81no—
229C4×Dic43—42no—
230C4×Dic43—81no—
231#10621873—44no—
232#10621873—44no—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43C4×D412yes—
240C23×C43C22×D411yescharacteristic
241C22×D43—22no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43C4×D412yes—
267C2×C4×C43C23×C411yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×C4×C43H(5,𝔽2)11yescharacteristic
270C2×C4×C43H(5,𝔽2)11yescharacteristic
271C2×C4×C43H(5,𝔽2)11yescharacteristic
272C2×C4×C43H(5,𝔽2)11yescharacteristic
273C22⋊D43—84no—
274C2×Dic43—22no—
275C2×Dic43—22no—
276C2×Dic43—22no—
277C2×Dic43—48no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
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×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296D172—22no—
297D172—22no—
298D172—41no—
299D172—41no—
300C4×D43—84no—
301Dic86—22no—
302Dic86—22no—
303Dic86—22no—
304Dic86—22no—
305Dic86—48no—
306Dic86—41no—
307Dic86—41no—
308Dic86—41no—
309Dic86—41no—
310C8×C43—22no—
311C8×C43—22no—
312C8×C43—41no—
313C8×C43—41no—
314#22058—431nomaximal, Sylow
315C22×C43—22no—
316C22×C43—22no—
317C22×C43—22no—
318C22×C43—41no—
319C22×C43—41no—
320C22×C43—41no—
321C22×C43—41no—
322C22×C43C2×C4×D411yescharacteristic
323C22×C43#53411yescharacteristic
324C22×C43#53511yescharacteristic
325C22×C43#57711yescharacteristic
326C22×C43#57711yescharacteristic
327C22×C43#57711yescharacteristic
328C22×C43#57811yescharacteristic
329C2×D43—42no—
330C2×D43—42no—
331C2×D43—42no—
332C2×D43—81no—
333C2×D43—81no—
334C2×D43—81no—
335C2×D43—81no—
336C4×C43—22no—
337C4×C43—41no—
338C4×C43—41no—
339C4×C43—41no—
340C4×C43—41no—
341C4×C43#51811yescharacteristic
342C4×C43#51811yescharacteristic
343C4×C43#53811yescharacteristic
344C4×C43#53811yescharacteristic
345Dic43—42no—
346Dic43—42no—
347Dic43—42no—
348Dic43—81no—
349Dic43—81no—
350Dic43—81no—
351Dic43—81no—
352C2×#448—431no—
353#2324—431no—
354#2310—431no—
355#1973—431no—
356#1968—431no—
357#1935—431no—
358#1933—431no—
359#1928—431no—
360#1927—431no—
361#1877—431no—
362#1877—431no—
363#1875—431no—
364#1854—431no—
365#1787—431no—
366#1750D4311yescharacteristic, complemented
367C2×C43—42no—
368C2×C43#232111yescharacteristic
369C2×C43#294711yescharacteristic
370C2×C43#294911yescharacteristic
371C2×C43#320011yescharacteristic
372C2×C43#320111yescharacteristic
373C2×C43#322111yescharacteristic
374C2×C43#322511yescharacteristic
375D43—82no—
376C23×Q8—431no—
377C22×SD16—431no—
378C22×SD16—431no—
379C2×#121—431no—
380C2×C4×D4—431no—
381C2×#117—431no—
382C2×#117C2×D4311yescharacteristic
383#448—438no—
384C2×#107—431no—
385C2×#106—431no—
386C2×#103—431no—
387C2×#103—431no—
388C2×#103—431no—
389C2×#103—431no—
390C2×#103—431no—
391C2×#103—431no—
392C2×#102—431no—
393C2×#102—431no—
394C2×C22⋊C8C2×D4311yescharacteristic
395C2×C22⋊C8C2×D4311yescharacteristic
396C2×#97C2×D4311yescharacteristic
397C2×C4×C8C2×D4311yescharacteristic
398#391—431no—
399#391—431no—
400#391—431no—
401#391—431no—
402#391—861no—
403#391—861no—
404#390—431no—
405#390—861no—
406#389—431no—
407#388—861no—
408#386—861no—
409#385—861no—
410#381—861no—
411#381—861no—
412#380—431no—
413C4×C4⋊C4—431no—
414#340—431no—
415#340—431no—
416#340—431no—
417#340—431no—
418#336C2×D4311yescharacteristic
419#336C2×D4311yescharacteristic
420C43#2205811yescharacteristic, complemented, Sylow
421C22×Q8—434no—
422C22×Q8—431no—
423C22×Q8—431no—
424C22×Q8—861no—
425C22×Q8—862no—
426C22×Q8—1721no—
427C22×Q8—1721no—
428C22×Q8—1721no—
429C22×Q8—1721no—
430C22×D4—431no—
431C22×D4—861no—
432C23×C4—861no—
433C23×C4—861no—
434C23×C4C22×D4311yescharacteristic
435C2×SD16—434no—
436C2×SD16—434no—
437C2×SD16—1721no—
438C2×SD16—1721no—
439C2×SD16—1721no—
440C2×SD16—1721no—
441C22×C8C22×D4311yescharacteristic
442C22×C8C22×D4311yescharacteristic
443C22×C8C22×D4311yescharacteristic
444C22×C8C22×D4311yescharacteristic
445#121—434no—
446#121—862no—
447C4×D4—1721no—
448C4×D4—1721no—
449#117—41no—
450#117—41no—
451#117—1721no—
452#117—1721no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4D17211yescharacteristic
460C2×C4⋊C4D17211yescharacteristic
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4D17211yescharacteristic
468C2×C22⋊C4D17211yescharacteristic
469C2×C42—861no—
470C2×C42—861no—
471C2×C42C22×D4311yescharacteristic
472C2×C42C22×D4311yescharacteristic
473#107—1721no—
474#106—1721no—
475#103—434no—
476#103—434no—
477#103—1721no—
478#103—1721no—
479#103—1721no—
480#103—1721no—
481#102—1721no—
482#102—1721no—
483C22⋊C8—22no—
484C22⋊C8C4×D4314yescomplemented
485#97—41no—
486C4×C8—41no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95—861no—
497#95—861no—
498C24—861no—
499C24C2×D17211yescharacteristic
500C2×Q8—432no—
501C2×Q8—432no—
502C2×Q8—864no—
503C2×Q8—861no—
504C2×Q8—861no—
505C2×Q8—861no—
506C2×Q8—861no—
507C2×Q8—861no—
508C2×Q8—861no—
509C2×Q8—861no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—1724no—
514C2×Q8—1724no—
515C2×Q8—1722no—
516C2×Q8—1722no—
517C2×Q8—1724no—
518C2×Q8—1724no—
519C2×D4—432no—
520C2×D4—864no—
521C2×D4—861no—
522C2×D4—861no—
523C2×D4—861no—
524C2×D4—861no—
525C2×D4—861no—
526C2×D4—3441no—
527C2×D4—3441no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—864no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—861no—
539C22×C4—861no—
540C22×C4—3441no—
541C22×C4—3441no—
542C22×C4—1722no—
543C22×C4—1722no—
544C22×C4—1722no—
545C22×C4C2×C4×D4312yes—
546C22×C4C2×D17211yescharacteristic
547C22×C4C2×D17211yescharacteristic
548C22×C4C2×D17211yescharacteristic
549C22×C4C2×D17211yescharacteristic
550C22×C4C2×D17211yescharacteristic
551C22×C4#1062189812yes—
552C22×C4C23×D4311yescharacteristic
553SD16—1724no—
554SD16—1724no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8C2×C4×D4312yes—
566C2×C8C2×C4×D4312yes—
567C4⋊C4—41no—
568C4⋊C4—41no—
569C4⋊C4—432no—
570C4⋊C4—861no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—3441no—
580C22⋊C4—41no—
581C22⋊C4—41no—
582C22⋊C4—864no—
583C22⋊C4—3441no—
584C22⋊C4—3441no—
585C22⋊C4—3441no—
586C22⋊C4—1722no—
587C22⋊C4—1722no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—3441no—
593C42—1722no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—862no—
601C23—1721no—
602C23—1721no—
603C23—1721no—
604C23—1721no—
605C23—1721no—
606C23—1721no—
607C23C4×D17212yes—
608C23C22×D17211yescharacteristic
609Q8—862no—
610Q8—862no—
611Q8—862no—
612Q8—862no—
613Q8—1728no—
614Q8—1721no—
615Q8—1721no—
616Q8—1721no—
617Q8—1721no—
618D4—862no—
619D4—862no—
620D4—3444no—
621D4—1721no—
622D4—1721no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—862no—
642C2×C4—862no—
643C2×C4—862no—
644C2×C4—3444no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
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×C4—1728no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4C4×D17212yes—
665C2×C4C22×C4×D4311yescharacteristic
666C2×C4C2×#1062189811yescharacteristic
667C2×C4#1306337011yescharacteristic
668C2×C4#1306337011yescharacteristic
669C2×C4#1306337111yescharacteristic
670C2×C4#1306337111yescharacteristic
671C8—22no—
672C8—22no—
673C8—41no—
674C8—41no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—3441no—
683C22—3441no—
684C22—3441no—
685C22—3441no—
686C22—1722no—
687C22—1722no—
688C22—1722no—
689C22C2×C4×D17211yescharacteristic
690C22#1458346111yescharacteristic
691C22#1458346811yescharacteristic
692C22#1458371111yescharacteristic
693C22#1458371111yescharacteristic
694C22#1458371111yescharacteristic
695C22#1458371611yescharacteristic
696C4—22no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—41no—
701C4—3441no—
702C4—3441no—
703C4—3441no—
704C4—3441no—
705C4—1722no—
706C4—1722no—
707C4—1722no—
708C4#1458337111yescharacteristic
709C4#1458337111yescharacteristic
710C4#1458348211yescharacteristic
711C4#1458348211yescharacteristic
712C2—42no—
713C2—3442no—
714C2#1913725511yescharacteristic
715C2#1914344011yescharacteristic
716C2#1914345611yescharacteristic
717C2#1914546811yescharacteristic
718C2#1914547911yescharacteristic
719C2#1914565811yescharacteristic
720C2#1914570611yescharacteristic
subgroupG/H
centerC23C22×D172
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1750C2
socleC23×C43C22×D4
prime radicalC2×#13063299C22
cosocleC22×C4×C43C24
hypercenter#1750D43
hypocenterC43#22058
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#117 ◁ #1750

Complements

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

NH ≅ G/Ntype
3. #19137179C2semidirect
4. #19135476C2semidirect
5. #19135449C2semidirect
6. #19135285C2semidirect
7. #19135271C2semidirect
8. #19135237C2semidirect
9. #19135230C2semidirect
10. #19134928C2semidirect
11. #19134928C2semidirect
13. #19134796C2semidirect
14. #19134531C2semidirect
15. C43×#1750C2semidirect
22. #14583040C4semidirect
66. C22×Dic86C2×C4semidirect
105. #13063250C2×C4semidirect
106. #13063250C2×C4semidirect
134. C22⋊C8×C43C2×C4semidirect
366. #1750D43semidirect
420. C43#22058semidirect
484. C22⋊C8C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830402
#191372882
#191371792
#191354762
#191354492
#191352852
#191352712
#191352372
#191352302
#191349282
#191349152
#191347962
#191345312
C43×#17502
#2205843