Finite Group Databasebeta

← #25072650

Subgroups — #25072650

Order 11008.

946 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148153C211yesmaximal, characteristic
2#19145177C211yesmaximal, characteristic, complemented
3#19144377C211yesmaximal, characteristic, complemented
4#19133849C211yesmaximal, characteristic, complemented
5#19133828C211yesmaximal, characteristic, complemented
6#19133821C211yesmaximal, characteristic, complemented
7#19133800C211yesmaximal, characteristic, complemented
8#19133765C211yesmaximal, characteristic, complemented
9#19133744C211yesmaximal, characteristic, complemented
10#19133739C211yesmaximal, characteristic, complemented
11#19133727C211yesmaximal, characteristic, complemented
12#19133250C211yesmaximal, characteristic, complemented
13#19132975C211yesmaximal, characteristic, complemented
14C2×D4⋊(C43⋊C8)C211yesmaximal, characteristic, complemented
15C43×#3101C211yesmaximal, characteristic, complemented
16#14583619C2211yescharacteristic
17#14583614C2211yescharacteristic
18#14583606C2211yescharacteristic
19#14583595—21no—
20#14583589—21no—
21#14583584—21no—
22#14583575—22no—
23#14583553C2211yescharacteristic
24#14583543—21no—
25#14583456C2211yescharacteristic
26#14583431—21no—
27#14583429—22no—
28#14583410—21no—
29C4×#10621898C2211yescharacteristic
30C4×#10621900—21no—
31C2×#13063284—21no—
32#14583302C2211yescharacteristic, complemented
33#14583278C2211yescharacteristic, complemented
34#14583251C2211yescharacteristic, complemented
35#14583249C2211yescharacteristic, complemented
36#14583203—21no—
37#14583196—21no—
38#14583191C2211yescharacteristic, complemented
39#14583186C2211yescharacteristic, complemented
40#14583181C2211yescharacteristic, complemented
41#14583176C2211yescharacteristic, complemented
42#14583138—22no—
43C4×#10621885—22no—
44#14582935—21no—
45C2×C4⋊(C43⋊C8)C2211yescharacteristic
46#14582893—21no—
47C2×C4×C43⋊C8C2211yescharacteristic
48#14582647C2211yescharacteristic, complemented
49#14582647C2211yescharacteristic, complemented
50#14582646C2211yescharacteristic, complemented
51#14582646C2211yescharacteristic, complemented
52#14582629C2211yescharacteristic, complemented
53#14582629C2211yescharacteristic, complemented
54D4⋊(C43⋊C8)C2211yescharacteristic
55D4⋊(C43⋊C8)C2211yescharacteristic
56D4⋊(C43⋊C8)C2211yescharacteristic
57D4⋊(C43⋊C8)C2211yescharacteristic
58#14582626C2211yescharacteristic, complemented
59#14582626C2211yescharacteristic, complemented
60C43×#533C2211yescharacteristic
61C2×C4×D4×C43C2211yescharacteristic
62C43×#483—21no—
63C43×#476C2211yescharacteristic
64C43×#476C2211yescharacteristic
65C43×#461C2211yescharacteristic
66C43×#461C2211yescharacteristic
67C43×#450—21no—
68C4×SD16×C43—21no—
69C4×SD16×C43—21no—
70C43×#431C2211yescharacteristic
71C2×#10621898D411yescharacteristic
72C2×#10621900—21no—
73C2×#10621885—22no—
74C22×C43⋊C8—21no—
75C22×C43⋊C8—21no—
76#13063325C2311yescharacteristic
77#13063325C2311yescharacteristic
78#13063320—22no—
79#13063318—22no—
80#13063318—22no—
81#13063317—21no—
82#13063316—21no—
83#13063315—22no—
84#13063312—21no—
85#13063311—22no—
86#13063309—22no—
87#13063308—22no—
88#13063307—22no—
89#13063306—22no—
90#13063305—21no—
91#13063304—21no—
92#13063304—21no—
93#13063304—21no—
94#13063304D412yes—
95#13063302—22no—
96#13063299—21no—
97#13063299—21no—
98#13063297—22no—
99#13063296—21no—
100#13063294—22no—
101C4×Dic86—21no—
102C4×Dic86D411yescharacteristic
103C4×Dic86D412yes—
104C4×Dic86C2311yescharacteristic
105#13063290—21no—
106C4×D172D411yescharacteristic
107C4×D172C2311yescharacteristic
108D4×Dic43—21no—
109C4×C22⋊D43—22no—
110C4×C22⋊D43—22no—
111C4×C22⋊D43—21no—
112C4×C22⋊D43—21no—
113(C22⋊D43)⋊C4—22no—
114#13063284—22no—
115#13063284—22no—
116#13063284—21no—
117#13063284—21no—
118#13063284—21no—
119#13063284D411yescharacteristic
120#13063283—21no—
121#13063282—21no—
122#13063281—22no—
123C2×C4⋊Dic43—21no—
124C2×C4⋊Dic43—21no—
125C2×C22⋊Dic43—22no—
126C2×C4×Dic43—22no—
127C42×D43—21no—
128#13063258—22no—
129#13063258—21no—
130#13063258—21no—
131#13063256—21no—
132#13063256—21no—
133C4⋊(C43⋊C8)—21no—
134C4⋊(C43⋊C8)C2311yescharacteristic
135C4⋊(C43⋊C8)C2311yescharacteristic
136#13063249—22no—
137#13063248—22no—
138#13063248—21no—
139#13063248—21no—
140#13063245—21no—
141#13063245—21no—
142C4×C43⋊C8—21no—
143C4×C43⋊C8C2311yescharacteristic
144C4×C43⋊C8C2311yescharacteristic
145C22×D4×C43D411yescharacteristic
146C23×C4×C43—21no—
147C2×SD16×C43—21no—
148C2×SD16×C43—21no—
149C4⋊Q8×C43C2311yescharacteristic
150C4⋊Q8×C43C2311yescharacteristic
151#125×C43—21no—
152C22⋊Q8×C43—21no—
153C22⋊Q8×C43—21no—
154C4×Q8×C43—21no—
155C4×Q8×C43—21no—
156C4×D4×C43—21no—
157C4×D4×C43—21no—
158C4×D4×C43D411yescharacteristic
159C4×D4×C43D411yescharacteristic
160C4×D4×C43C2311yescharacteristic
161C4×D4×C43C2311yescharacteristic
162#117×C43—21no—
163C2×C4⋊C4×C43D411yescharacteristic
164C2×C22⋊C4×C43—21no—
165C2×C42×C43C2311yescharacteristic
166#106×C43—21no—
167#106×C43—21no—
168C4⋊C8×C43C2311yescharacteristic
169C4⋊C8×C43C2311yescharacteristic
170#103×C43—21no—
171#103×C43—21no—
172#102×C43—21no—
173#102×C43—21no—
174C22⋊C8×C43—21no—
175C4×C8×C43—21no—
176C24×C43—21no—
177C2×Q8×C43—21no—
178C2×Q8×C43—21no—
179C2×D4×C43—21no—
180C2×D4×C43—22no—
181C2×D4×C43—41no—
182C2×D4×C43C2×D411yescharacteristic
183C2×D4×C43C2×D411yescharacteristic
184C22×C4×C43—21no—
185C22×C4×C43—21no—
186C22×C4×C43—21no—
187C22×C4×C43—21no—
188C22×C4×C43—21no—
189C22×C4×C43—42no—
190C22×C4×C43—42no—
191C22×C4×C43C2×D411yescharacteristic
192C22×C4×C43C2×D411yescharacteristic
193C22×C4×C43C2×D411yescharacteristic
194C2×C22⋊D43—22no—
195C2×C22⋊D43—22no—
196C2×C22⋊D43—21no—
197C22×Dic43—22no—
198C22×Dic43—22no—
199#10621900—42no—
200#10621900—42no—
201#10621898—22no—
202#10621898—22no—
203C2×D172C2×D411yescharacteristic
204C2×C4×D43—21no—
205C2×C4×D43—21no—
206C2×C4×D43—21no—
207C2×Dic86—21no—
208C2×Dic86C2×D411yescharacteristic
209C2×Dic86C2×D412yes—
210SD16×C43—42no—
211SD16×C43—42no—
212C2×C8×C43—21no—
213C2×C8×C43—21no—
214C4⋊C4×C43—21no—
215C4⋊C4×C43—21no—
216C4⋊C4×C43—21no—
217C4⋊C4×C43—21no—
218C4⋊C4×C43—21no—
219C4⋊C4×C43—41no—
220C4⋊C4×C43—41no—
221C4⋊C4×C43C2×D411yescharacteristic
222C4⋊C4×C43C2×D411yescharacteristic
223C22⋊C4×C43—21no—
224C22⋊C4×C43—21no—
225C22⋊C4×C43—21no—
226C22⋊C4×C43—21no—
227C22⋊C4×C43—41no—
228C42×C43—41no—
229C42×C43C2×D411yescharacteristic
230C42×C43C2×D411yescharacteristic
231C42×C43C2×D411yescharacteristic
232C42×C43C2411yescharacteristic
233C22⋊Dic43—22no—
234C22⋊Dic43—22no—
235C22⋊Dic43—22no—
236C22⋊Dic43—22no—
237C22⋊Dic43—21no—
238C22⋊Dic43—22no—
239#10621885—44no—
240(C2×D43)⋊C4—22no—
241(C2×D43)⋊C4—22no—
242(C2×D43)⋊C4—21no—
243(C2×D43)⋊C4—21no—
244C4⋊Dic43—22no—
245C4⋊Dic43—22no—
246C4⋊Dic43—21no—
247C4⋊Dic43—21no—
248C4⋊Dic43—21no—
249C4⋊Dic43C2×D412yes—
250C4⋊Dic43C2×D411yescharacteristic
251C4⋊Dic43C2×D411yescharacteristic
252Dic43⋊C4—22no—
253Dic43⋊C4—22no—
254Dic43⋊C4—22no—
255Dic43⋊C4—21no—
256Dic43⋊C4—22no—
257Dic43⋊C4—21no—
258C4×Dic43—22no—
259C4×Dic43—22no—
260C4×Dic43—21no—
261C4×Dic43—21no—
262C4×Dic43—22no—
263C4×Dic43—21no—
264C2×C43⋊C8—21no—
265C2×C43⋊C8—21no—
266C2×C43⋊C8—21no—
267C2×C43⋊C8—21no—
268C2×C43⋊C8—42no—
269C2×C43⋊C8—42no—
270C23×C43—21no—
271C23×C43—21no—
272C23×C43—42no—
273C23×C43—42no—
274C23×C43—81no—
275C23×C43#12011yescharacteristic
276C22×D43—21no—
277Q8×C43—42no—
278Q8×C43—41no—
279Q8×C43—41no—
280D4×C43—21no—
281D4×C43—21no—
282D4×C43—21no—
283D4×C43—42no—
284D4×C43#13512yes—
285C2×C4×C43—21no—
286C2×C4×C43—21no—
287C2×C4×C43—21no—
288C2×C4×C43—21no—
289C2×C4×C43—41no—
290C2×C4×C43—42no—
291C2×C4×C43—41no—
292C2×C4×C43—41no—
293C2×C4×C43—41no—
294C2×C4×C43—41no—
295C2×C4×C43—42no—
296C2×C4×C43—42no—
297C2×C4×C43—41no—
298C2×C4×C43—41no—
299C2×C4×C43#12011yescharacteristic
300C2×C4×C43#12011yescharacteristic
301C2×C4×C43#12011yescharacteristic
302C2×C4×C43#13512yes—
303C2×C4×C43#13712yes—
304C2×C4×C43C22×D411yescharacteristic
305C2×C4×C43C22×D411yescharacteristic
306C2×C4×C43C22×D411yescharacteristic
307C22⋊D43—44no—
308C22⋊D43—42no—
309C22⋊D43—82no—
310C2×Dic43—21no—
311C2×Dic43—21no—
312C2×Dic43—21no—
313C2×Dic43—22no—
314C2×Dic43—22no—
315C2×Dic43—44no—
316C2×Dic43—82no—
317D172—21no—
318D172—21no—
319C4×D43—41no—
320C4×D43—41no—
321C4×D43—42no—
322C4×D43—81no—
323Dic86—21no—
324Dic86—21no—
325Dic86—41no—
326Dic86—41no—
327Dic86—42no—
328C8×C43—41no—
329C8×C43—41no—
330C43⋊C8—22no—
331C43⋊C8—41no—
332C43⋊C8—41no—
333C43⋊C8—41no—
334#18523—431nomaximal, Sylow
335C22×C43—21no—
336C22×C43—21no—
337C22×C43—22no—
338C22×C43—41no—
339C22×C43—41no—
340C22×C43—41no—
341C22×C43—41no—
342C22×C43—41no—
343C22×C43—84no—
344C22×C43#45212yes—
345C22×C43C2×#12011yescharacteristic
346C2×D43—41no—
347C2×D43—41no—
348C2×D43—41no—
349C4×C43—21no—
350C4×C43—21no—
351C4×C43—21no—
352C4×C43—41no—
353C4×C43—41no—
354C4×C43—81no—
355C4×C43—81no—
356C4×C43#45212yes—
357C4×C43C2×#13511yescharacteristic
358C4×C43C2×#13511yescharacteristic
359C4×C43C2×#13711yescharacteristic
360C4×C43#57511yescharacteristic
361Dic43—41no—
362Dic43—42no—
363Dic43—41no—
364Dic43—42no—
365Dic43—41no—
366#3475—431no—
367#3170—431no—
368#3101D4311yescharacteristic, complemented
369#3076—431no—
370#1650—431no—
371#1647—431no—
372#1646—431no—
373#1643—431no—
374#1638—431no—
375#1635—431no—
376#1634—431no—
377#1632—431no—
378#1542—431no—
379#1476—431no—
380C2×D4⋊C8—431no—
381C2×C43—22no—
382C2×C43—42no—
383C2×C43—81no—
384C2×C43C2×#45211yescharacteristic
385C2×C43#300211yescharacteristic
386C2×C43#301811yescharacteristic
387D43—81no—
388#556—431no—
389#555—431no—
390#554—431no—
391#553—861no—
392#552—861no—
393#552—861no—
394#551—862no—
395#547—431no—
396#546—861no—
397#533—431no—
398#533C2×D4311yescharacteristic
399#529—862no—
400#529—861no—
401#525—861no—
402C4×#41—431no—
403C4×#41—861no—
404C2×C4×D4C2×D4311yescharacteristic
405C2×#117—861no—
406#500—431no—
407#494—431no—
408#487—431no—
409#487—431no—
410#483—21no—
411#479—861no—
412#478—861no—
413#477—431no—
414#476—431no—
415#476C2×D4311yescharacteristic
416#476C2×D4311yescharacteristic
417#475—431no—
418#474—431no—
419#467—862no—
420#461C2×D4311yescharacteristic
421#461C2×D4311yescharacteristic
422#450—21no—
423C4×Q16—862no—
424C4×SD16—21no—
425C4×SD16—21no—
426#431C2×D4311yescharacteristic
427#427—861no—
428C2×C4⋊C8—431no—
429#416—861no—
430C2×C4×C8—431no—
431#333—431no—
432#333—431no—
433#332—431no—
434#332—431no—
435Q8⋊C8—431no—
436Q8⋊C8—431no—
437D4⋊C8—431no—
438D4⋊C8—431no—
439D4⋊C8—431no—
440D4⋊C8—431no—
441D4⋊C8—431no—
442D4⋊C8—431no—
443C43#1852311yescharacteristic, complemented, Sylow
444C2×#41—431no—
445C2×#41—861no—
446C22×D4C22⋊D4311yescharacteristic
447C23×C4—21no—
448C2×Q16—862no—
449C2×SD16—21no—
450C2×SD16—21no—
451C22×C8—861no—
452C22×C8—861no—
453C4⋊Q8—431no—
454C4⋊Q8—431no—
455C4⋊Q8C22×D4311yescharacteristic
456C4⋊Q8C22×D4311yescharacteristic
457#126—862no—
458#126—862no—
459#126—862no—
460#125—21no—
461#125—862no—
462#125—861no—
463#125—861no—
464#124—862no—
465#124—861no—
466#123—862no—
467#123—862no—
468#123—862no—
469#123—862no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8—432no—
473C22⋊Q8—862no—
474C22⋊Q8—861no—
475C22⋊Q8—861no—
476C22⋊Q8—861no—
477C22⋊Q8—861no—
478#121—861no—
479#121—861no—
480#121—862no—
481#121—861no—
482#120—862no—
483C4×Q8—21no—
484C4×Q8—21no—
485C4×Q8—431no—
486C4×Q8—432no—
487C4×Q8—431no—
488C4×Q8—861no—
489C4×Q8—861no—
490C4×D4—21no—
491C4×D4—21no—
492C4×D4—431no—
493C4×D4—431no—
494C4×D4—862no—
495C4×D4—862no—
496C4×D4—862no—
497C4×D4—861no—
498C4×D4—861no—
499C4×D4—861no—
500C4×D4C22⋊D4311yescharacteristic
501C4×D4C22⋊D4311yescharacteristic
502C4×D4C22×D4311yescharacteristic
503C4×D4C22×D4311yescharacteristic
504#117—21no—
505#117—431no—
506#117—862no—
507#117—861no—
508#117—861no—
509#117—862no—
510#117—862no—
511#117—861no—
512#117—861no—
513#117—861no—
514C2×C4⋊C4—861no—
515C2×C4⋊C4—861no—
516C2×C4⋊C4C22⋊D4311yescharacteristic
517C2×C22⋊C4—21no—
518C2×C22⋊C4—862no—
519C2×C42—862no—
520C2×C42—861no—
521C2×C42C22×D4311yescharacteristic
522#107—861no—
523#107—861no—
524#107—862no—
525#106—21no—
526#106—21no—
527#106—861no—
528#106—861no—
529C4⋊C8—431no—
530C4⋊C8—431no—
531C4⋊C8—861no—
532C4⋊C8C22×D4311yescharacteristic
533C4⋊C8C22×D4311yescharacteristic
534#103—21no—
535#103—21no—
536#103—861no—
537#103—861no—
538#103—862no—
539#103—862no—
540#102—21no—
541#102—21no—
542#102—861no—
543#102—861no—
544C22⋊C8—21no—
545C4×C8—21no—
546C4×C8—431no—
547C4×C8—431no—
548C4×C8—861no—
549C24—21no—
550#41—862no—
551#41—862no—
552#41—1722no—
553#41—1722no—
554C2×Q8—21no—
555C2×Q8—21no—
556C2×Q8—431no—
557C2×Q8—432no—
558C2×Q8—861no—
559C2×D4—22no—
560C2×D4—21no—
561C2×D4—41no—
562C2×D4—431no—
563C2×D4—862no—
564C2×D4—862no—
565C2×D4—861no—
566C2×D4C2×C22⋊D4311yescharacteristic
567C2×D4C2×C22⋊D4311yescharacteristic
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—42no—
574C22×C4—42no—
575C22×C4—862no—
576C22×C4—862no—
577C22×C4—861no—
578C22×C4—861no—
579C22×C4—861no—
580C22×C4D4×D4311yescharacteristic
581C22×C4D4×D4311yescharacteristic
582C22×C4C2×C22⋊D4311yescharacteristic
583Q16—1724no—
584SD16—42no—
585SD16—42no—
586C2×C8—21no—
587C2×C8—21no—
588C2×C8—861no—
589C2×C8—861no—
590C2×C8—861no—
591C2×C8—861no—
592C2×C8—1722no—
593C2×C8—1722no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—41no—
600C4⋊C4—41no—
601C4⋊C4—432no—
602C4⋊C4—431no—
603C4⋊C4—431no—
604C4⋊C4—862no—
605C4⋊C4—862no—
606C4⋊C4—862no—
607C4⋊C4—862no—
608C4⋊C4—861no—
609C4⋊C4—862no—
610C4⋊C4—862no—
611C4⋊C4—861no—
612C4⋊C4—861no—
613C4⋊C4—861no—
614C4⋊C4—861no—
615C4⋊C4C2×C22⋊D4311yescharacteristic
616C4⋊C4C2×C22⋊D4311yescharacteristic
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—21no—
621C22⋊C4—41no—
622C22⋊C4—862no—
623C22⋊C4—862no—
624C22⋊C4—862no—
625C22⋊C4—862no—
626C22⋊C4—862no—
627C22⋊C4—862no—
628C22⋊C4—861no—
629C22⋊C4—862no—
630C22⋊C4—861no—
631C22⋊C4—861no—
632C42—41no—
633C42—862no—
634C42—862no—
635C42—861no—
636C42—861no—
637C42—862no—
638C42—861no—
639C42D4×D4311yescharacteristic
640C42D4×D4311yescharacteristic
641C42C2×C22⋊D4311yescharacteristic
642C42C23×D4311yescharacteristic
643C23—21no—
644C23—21no—
645C23—42no—
646C23—42no—
647C23—81no—
648C23—861no—
649C23#1306329311yescharacteristic
650Q8—42no—
651Q8—41no—
652Q8—41no—
653Q8—861no—
654Q8—861no—
655Q8—1722no—
656Q8—1721no—
657Q8—1721no—
658D4—21no—
659D4—21no—
660D4—21no—
661D4—42no—
662D4—861no—
663D4—861no—
664D4—3442no—
665D4—1724no—
666D4—1722no—
667D4#1306334512yes—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—861no—
683C2×C4—861no—
684C2×C4—862no—
685C2×C4—862no—
686C2×C4—861no—
687C2×C4—3441no—
688C2×C4—3442no—
689C2×C4—1724no—
690C2×C4—1722no—
691C2×C4—1721no—
692C2×C4—1721no—
693C2×C4#1306329311yescharacteristic
694C2×C4#1306329311yescharacteristic
695C2×C4#1306329311yescharacteristic
696C2×C4#1306334612yes—
697C2×C4#1306335412yes—
698C2×C4C2×D4×D4311yescharacteristic
699C2×C4C2×D4×D4311yescharacteristic
700C2×C4C22×C22⋊D4311yescharacteristic
701C8—41no—
702C8—41no—
703C8—862no—
704C8—1721no—
705C8—1721no—
706C8—1721no—
707C22—21no—
708C22—21no—
709C22—22no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—84no—
716C22—1721no—
717C22—1721no—
718C22—1721no—
719C22#1458305812yes—
720C22C2×#1306329311yescharacteristic
721C4—21no—
722C4—21no—
723C4—21no—
724C4—41no—
725C4—41no—
726C4—81no—
727C4—81no—
728C4—1721no—
729C4—1722no—
730C4—1721no—
731C4—1721no—
732C4—1722no—
733C4#1458305812yes—
734C4C2×#1306334511yescharacteristic
735C4C2×#1306334611yescharacteristic
736C4C2×#1306335411yescharacteristic
737C4#1458369711yescharacteristic
738C2—22no—
739C2—42no—
740C2—81no—
741C2—3441no—
742C2C2×#1458305811yescharacteristic
743C2#1914381111yescharacteristic
744C2#1914394111yescharacteristic
subgroupG/H
centerC2×C4#13063293
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC43×#3101C2
socleC22×C43C2×#120
prime radical#19148153C2
hypercenter#3101D43
hypocenterC43#18523
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3101

Complements

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

NH ≅ G/Ntype
2. #19145177C2semidirect
3. #19144377C2semidirect
4. #19133849C2semidirect
5. #19133828C2semidirect
6. #19133821C2semidirect
7. #19133800C2semidirect
8. #19133765C2semidirect
9. #19133744C2semidirect
10. #19133739C2semidirect
11. #19133727C2semidirect
12. #19133250C2semidirect
13. #19132975C2semidirect
14. C2×D4⋊(C43⋊C8)C2semidirect
15. C43×#3101C2semidirect
32. #14583302C22semidirect
33. #14583278C22semidirect
34. #14583251C22semidirect
35. #14583249C22semidirect
38. #14583191C22semidirect
39. #14583186C22semidirect
40. #14583181C22semidirect
41. #14583176C22semidirect
48. #14582647C22semidirect
49. #14582647C22semidirect
50. #14582646C22semidirect
51. #14582646C22semidirect
52. #14582629C22semidirect
53. #14582629C22semidirect
58. #14582626C22semidirect
59. #14582626C22semidirect
368. #3101D43semidirect
443. C43#18523semidirect

Maximal subgroups

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

subgroupindex
#191481532
#191451772
#191443772
#191338492
#191338282
#191338212
#191338002
#191337652
#191337442
#191337392
#191337272
#191332502
#191329752
C2×D4⋊(C43⋊C8)2
C43×#31012
#1852343