Finite Group Databasebeta

← #25065096

Subgroups — #25065096

Order 11008.

940 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148507C211yesmaximal, characteristic
2#19143704C211yesmaximal, characteristic, complemented
3#19143256C211yesmaximal, characteristic, complemented
4#19133305C211yesmaximal, characteristic, complemented
5#19133302C211yesmaximal, characteristic, complemented
6#19133289C211yesmaximal, characteristic, complemented
7#19133288C211yesmaximal, characteristic, complemented
8#19133274C211yesmaximal, characteristic, complemented
9#19133271C211yesmaximal, characteristic, complemented
10#19133256C211yesmaximal, characteristic, complemented
11#19133255C211yesmaximal, characteristic, complemented
12#19133251C211yesmaximal, characteristic, complemented
13#333×D43C211yesmaximal, characteristic, complemented
14#19133243C211yesmaximal, characteristic, complemented
15C43×#1542C211yesmaximal, characteristic, complemented
16#14583621C412yes—
17#14583612—21no—
18#14583605—21no—
19#14583602—21no—
20#14583593—21no—
21#14583561C412yes—
22#14583559C412yes—
23#14583551C412yes—
24#14583522—21no—
25#14583521—21no—
26#14583479—21no—
27#14583454C2211yescharacteristic
28#14583450C2211yescharacteristic
29#14583450C2211yescharacteristic
30#14583449C2211yescharacteristic
31C4⋊Q8×D43C2211yescharacteristic
32#14583381—21no—
33C4×#10621898C2211yescharacteristic
34#14583023—21no—
35#14582964—21no—
36C8×C22⋊D43—21no—
37C8×C22⋊D43—21no—
38#14582958—21no—
39#14582957—21no—
40#14582956C2211yescharacteristic
41#14582955C2211yescharacteristic
42#14582952C2211yescharacteristic
43#14582951C2211yescharacteristic
44#14582951C2211yescharacteristic
45#14582951C2211yescharacteristic
46#14582921C2211yescharacteristic
47C4⋊C8×D43C2211yescharacteristic
48C4⋊C8×D43C2211yescharacteristic
49C4⋊C8×D43C2211yescharacteristic
50#14582864—21no—
51#14582853—21no—
52#14582648C2211yescharacteristic
53#14582648C2211yescharacteristic
54#14582647C2211yescharacteristic
55#14582647C2211yescharacteristic
56#14582647C2211yescharacteristic
57#14582647C2211yescharacteristic
58#14582645C2211yescharacteristic
59#14582645C2211yescharacteristic
60#14582642C2211yescharacteristic
61#14582642C2211yescharacteristic
62#14582642C2211yescharacteristic
63#14582642C2211yescharacteristic
64C43×#533C2211yescharacteristic
65C43×#431C2211yescharacteristic
66C2×C4⋊C8×C43C2211yescharacteristic
67C43×#333C2211yescharacteristic
68C43×#333C2211yescharacteristic
69C43×#332C2211yescharacteristic
70C43×#332C2211yescharacteristic
71C2×#10621902—21no—
72C2×#10621902C2×C412yes—
73C2×#10621898C2×C412yes—
74C2×#10621898D411yescharacteristic
75C2×Q8×D43C2×C412yes—
76C2×#10621872—21no—
77C2×C8×D43—21no—
78C2×C8×D43—21no—
79C2×C8×D43—21no—
80#13063325C2311yescharacteristic
81#13063324—21no—
82#13063324—21no—
83#13063323C2×C412yes—
84#13063322C2311yescharacteristic
85#13063320—22no—
86#13063319—22no—
87#13063316—21no—
88#13063314—21no—
89#13063314C2×C412yes—
90#13063313—22no—
91#13063313C2×C412yes—
92#13063311—22no—
93#13063310—22no—
94#13063307—22no—
95#13063305—22no—
96#13063305C2×C412yes—
97#13063303—22no—
98#13063303—22no—
99#13063301—21no—
100#13063300—22no—
101#13063300—21no—
102#13063300—21no—
103#13063300—21no—
104#13063300C2×C412yes—
105#13063299—21no—
106#13063299—21no—
107#13063298—22no—
108#13063298—22no—
109Q8×Dic43—21no—
110C4×Dic86C2×C411yescharacteristic
111C4×Dic86D411yescharacteristic
112#13063290C2×C412yes—
113C4×D172—21no—
114C4×D172—21no—
115C4×D172—22no—
116C4×D172C2×C411yescharacteristic
117C4×D172D411yescharacteristic
118#13063287—22no—
119#13063287—21no—
120#13063287—21no—
121#13063287—21no—
122#13063287C2×C412yes—
123C4×C22⋊D43C2×C411yescharacteristic
124C4×C22⋊D43C2×C411yescharacteristic
125C4×C22⋊D43D411yescharacteristic
126C4×C22⋊D43D411yescharacteristic
127#13063284D411yescharacteristic
128#13063283—21no—
129#13063282—22no—
130#13063282D411yescharacteristic
131#13063282D411yescharacteristic
132C4⋊C4×D43—21no—
133C4⋊C4×D43—21no—
134C4⋊C4×D43—22no—
135C42×D43C2311yescharacteristic
136C42×D43C2311yescharacteristic
137C4⋊(C43⋊C8)C2311yescharacteristic
138C4⋊(C43⋊C8)C2311yescharacteristic
139C4⋊(C43⋊C8)C2311yescharacteristic
140C4⋊(C43⋊C8)C2311yescharacteristic
141Dic43⋊C8—21no—
142Dic43⋊C8—21no—
143Dic43⋊C8—21no—
144Dic43⋊C8—21no—
145C22⋊(C43⋊C8)—21no—
146C22⋊(C43⋊C8)—21no—
147(C2×D43)⋊C8—21no—
148(C2×D43)⋊C8—21no—
149(C2×D43)⋊C8—21no—
150(C2×D43)⋊C8—21no—
151#13063236—21no—
152#13063235—21no—
153C4×C43⋊C8—21no—
154C8×Dic43—21no—
155C8×Dic43—21no—
156C8×Dic43—21no—
157C22×C8×C43—21no—
158C4⋊Q8×C43C2311yescharacteristic
159C4⋊Q8×C43C2311yescharacteristic
160#125×C43—21no—
161C22⋊Q8×C43—21no—
162C22⋊Q8×C43C2×C412yes—
163C4×Q8×C43—21no—
164C4×Q8×C43C2×C412yes—
165#117×C43—21no—
166C2×C42×C43C2311yescharacteristic
167C4⋊C8×C43—21no—
168C4⋊C8×C43C2311yescharacteristic
169C4⋊C8×C43C2311yescharacteristic
170C4⋊C8×C43C2311yescharacteristic
171C4⋊C8×C43C2311yescharacteristic
172C22⋊C8×C43—21no—
173C4×C8×C43—21no—
174C2×Q8×C43—21no—
175C2×Q8×C43C22×C412yes—
176C22×C4×C43C22×C411yescharacteristic
177C22×C4×C43C2×D411yescharacteristic
178C22×C4×C43C2×D411yescharacteristic
179C2×C22⋊D43—22no—
180C2×C22⋊D43C22⋊C411yescharacteristic
181C2×C22⋊D43C22⋊C411yescharacteristic
182#10621902—42no—
183#10621902—42no—
184#10621902—82no—
185Q8×D43—82no—
186#10621898—22no—
187#10621898—22no—
188#10621898—82no—
189C2×D172—21no—
190C2×D172—21no—
191C2×D172—22no—
192C2×D172—22no—
193C2×D172C22⋊C411yescharacteristic
194C2×D172C22×C412yes—
195C2×C4×D43—22no—
196C2×C4×D43—22no—
197C2×C4×D43—22no—
198C2×C4×D43—22no—
199C2×C4×D43C22×C411yescharacteristic
200C2×C4×D43C22×C411yescharacteristic
201C2×C4×D43C2×D411yescharacteristic
202C2×C4×D43C2×D411yescharacteristic
203C2×C4×D43C2×D411yescharacteristic
204C2×C4×D43C2×D411yescharacteristic
205C2×Dic86—22no—
206C2×Dic86C22⋊C411yescharacteristic
207C2×Dic86C22×C412yes—
208C2×C8×C43—21no—
209C2×C8×C43—21no—
210C2×C8×C43—21no—
211C2×C8×C43—21no—
212C2×C8×C43—81no—
213C4⋊C4×C43—22no—
214C4⋊C4×C43—22no—
215C4⋊C4×C43—21no—
216C4⋊C4×C43—21no—
217C4⋊C4×C43—21no—
218C4⋊C4×C43C22×C412yes—
219C22⋊C4×C43—22no—
220C42×C43—22no—
221C42×C43C22×C411yescharacteristic
222C42×C43C2×D411yescharacteristic
223C42×C43C2×D411yescharacteristic
224C42×C43C2411yescharacteristic
225C22⋊Dic43C22⋊C411yescharacteristic
226C22⋊Dic43C22⋊C411yescharacteristic
227(C2×D43)⋊C4—22no—
228(C2×D43)⋊C4—22no—
229(C2×D43)⋊C4—22no—
230(C2×D43)⋊C4—22no—
231(C2×D43)⋊C4—22no—
232(C2×D43)⋊C4—22no—
233(C2×D43)⋊C4—22no—
234(C2×D43)⋊C4C22⋊C411yescharacteristic
235(C2×D43)⋊C4C22⋊C411yescharacteristic
236(C2×D43)⋊C4C22⋊C411yescharacteristic
237(C2×D43)⋊C4C22⋊C411yescharacteristic
238C4⋊Dic43—21no—
239C4⋊Dic43—21no—
240C4⋊Dic43—22no—
241C4⋊Dic43C22⋊C411yescharacteristic
242C4⋊Dic43C22⋊C411yescharacteristic
243Dic43⋊C4—22no—
244Dic43⋊C4—22no—
245Dic43⋊C4—22no—
246Dic43⋊C4C22⋊C411yescharacteristic
247Dic43⋊C4C22⋊C411yescharacteristic
248Dic43⋊C4C22⋊C411yescharacteristic
249Dic43⋊C4C22⋊C411yescharacteristic
250C4×Dic43—22no—
251C4×Dic43C22×C411yescharacteristic
252C4×Dic43C22×C411yescharacteristic
253C4×Dic43C2×D411yescharacteristic
254C4×Dic43C2×D411yescharacteristic
255C4×Dic43C2×D411yescharacteristic
256C4×Dic43C2×D411yescharacteristic
257C2×C43⋊C8—21no—
258C2×C43⋊C8—21no—
259C2×C43⋊C8—21no—
260C2×C43⋊C8—21no—
261#10621872—42no—
262C8×D43—42no—
263C8×D43—81no—
264C8×D43—81no—
265C23×C43C2×C22⋊C411yescharacteristic
266C22×D43—22no—
267C22×D43C2×C22⋊C411yescharacteristic
268C22×D43C2×C22⋊C411yescharacteristic
269Q8×C43—42no—
270Q8×C43—41no—
271Q8×C43—41no—
272C2×C4×C43—21no—
273C2×C4×C43—21no—
274C2×C4×C43—21no—
275C2×C4×C43—21no—
276C2×C4×C43—22no—
277C2×C4×C43—22no—
278C2×C4×C43—41no—
279C2×C4×C43C2×C22⋊C411yescharacteristic
280C2×C4×C43C2×C22⋊C411yescharacteristic
281C2×C4×C43C2×C22⋊C411yescharacteristic
282C2×C4×C43C23×C411yescharacteristic
283C2×C4×C43C22×D411yescharacteristic
284C2×C4×C43C22×D411yescharacteristic
285C22⋊D43—22no—
286C22⋊D43—22no—
287C22⋊D43—82no—
288C2×Dic43—22no—
289C2×Dic43C2×C22⋊C411yescharacteristic
290C2×Dic43C2×C22⋊C411yescharacteristic
291C2×Dic43C2×C22⋊C411yescharacteristic
292C2×Dic43C2×C22⋊C411yescharacteristic
293C2×Dic43C2×C22⋊C411yescharacteristic
294C2×Dic43C2×C22⋊C411yescharacteristic
295D172—22no—
296D172—42no—
297D172—44no—
298D172—41no—
299D172—41no—
300D172—41no—
301D172—41no—
302D172—82no—
303C4×D43—21no—
304C4×D43—21no—
305C4×D43—21no—
306C4×D43—21no—
307C4×D43—21no—
308C4×D43—21no—
309C4×D43—41no—
310C4×D43—41no—
311C4×D43—44no—
312C4×D43—82no—
313C4×D43—82no—
314C4×D43—82no—
315C4×D43#13512yes—
316C4×D43#13512yes—
317Dic86—22no—
318Dic86—42no—
319Dic86—82no—
320C8×C43—41no—
321C8×C43—41no—
322C8×C43—41no—
323C8×C43—41no—
324C43⋊C8—41no—
325C43⋊C8—41no—
326C43⋊C8—41no—
327C43⋊C8—41no—
328#17726—431nomaximal, Sylow
329C22×C43—21no—
330C22×C43—21no—
331C22×C43—21no—
332C22×C43C22×C22⋊C411yescharacteristic
333C2×D43—21no—
334C2×D43—21no—
335C2×D43—21no—
336C2×D43—21no—
337C2×D43—21no—
338C2×D43—42no—
339C2×D43—42no—
340C2×D43—42no—
341C2×D43#41612yes—
342C4×C43—21no—
343C4×C43—21no—
344C4×C43—21no—
345C4×C43—21no—
346C4×C43—42no—
347C4×C43—42no—
348C4×C43C2×#13511yescharacteristic
349C4×C43C2×#13511yescharacteristic
350C4×C43#57711yescharacteristic
351C4×C43#57811yescharacteristic
352Dic43—21no—
353Dic43—21no—
354Dic43—21no—
355Dic43—21no—
356Dic43—21no—
357Dic43—42no—
358Dic43#41612yes—
359#3511—431no—
360#2988—431no—
361#2925—431no—
362#1554—431no—
363#1554—431no—
364#1551—431no—
365#1551—431no—
366#1548—431no—
367#1547—431no—
368#1543—431no—
369#1543—431no—
370#1542—431no—
371#1542D4311yescharacteristic, complemented
372C2×#333—431no—
373#1540—431no—
374C2×C43—41no—
375C2×C43#288811yescharacteristic
376C2×C43C2×#41611yescharacteristic
377C2×C43#289811yescharacteristic
378D43—22no—
379D43—41no—
380D43—82no—
381#556—432no—
382#555—861no—
383#554—861no—
384#553—861no—
385#553—861no—
386#548—432no—
387#548—432no—
388#547—432no—
389#542—861no—
390#542—861no—
391#537—861no—
392#533—431no—
393#533C2×D4311yescharacteristic
394#532—431no—
395#532—431no—
396#532—431no—
397C2×C4⋊Q8—431no—
398#520—861no—
399C4×#41—431no—
400C8×Q8—861no—
401C8×D4—861no—
402C8×D4—861no—
403C8×D4—861no—
404#433—861no—
405#433—861no—
406#432—431no—
407#432—431no—
408#431—431no—
409#431—431no—
410#431—431no—
411#431—431no—
412#431C2×D4311yescharacteristic
413#423—431no—
414C2×C4⋊C8—431no—
415C2×C4⋊C8—431no—
416C2×C4⋊C8—431no—
417C2×C4⋊C8C2×D4311yescharacteristic
418#408—861no—
419#405—861no—
420#333—431no—
421#333—431no—
422#333—431no—
423#333—431no—
424#333—431no—
425#333—431no—
426#333C2×D4311yescharacteristic
427#333C2×D4311yescharacteristic
428#332—431no—
429#332—431no—
430#332C2×D4311yescharacteristic
431#332C2×D4311yescharacteristic
432#331—431no—
433#331—431no—
434#331—431no—
435#331—431no—
436C43#1772611yescharacteristic, complemented, Sylow
437C2×#41—431no—
438C2×#41—432no—
439C2×#41—432no—
440C2×#41—861no—
441C22×Q8—432no—
442C2×M16—861no—
443C22×C8—21no—
444C22×C8—861no—
445C22×C8—861no—
446C22×C8—861no—
447C4⋊Q8—432no—
448C4⋊Q8—431no—
449C4⋊Q8—861no—
450C4⋊Q8—861no—
451C4⋊Q8C22×D4311yescharacteristic
452C4⋊Q8C22×D4311yescharacteristic
453#127—431no—
454#126—862no—
455#126—862no—
456#125—21no—
457#125—861no—
458#124—432no—
459#124—432no—
460#124—862no—
461#124—861no—
462#124—862no—
463#123—862no—
464#123—862no—
465C22⋊Q8—21no—
466C22⋊Q8—432no—
467C22⋊Q8—862no—
468C22⋊Q8—862no—
469C22⋊Q8—862no—
470C22⋊Q8—861no—
471C22⋊Q8C4×D4312yes—
472#121—432no—
473#121—862no—
474#121—862no—
475#121—861no—
476#121—861no—
477#121—861no—
478#121—862no—
479#121—861no—
480#121—861no—
481C4×Q8—21no—
482C4×Q8—431no—
483C4×Q8—431no—
484C4×Q8—432no—
485C4×Q8—861no—
486C4×Q8C4×D4312yes—
487C4×D4—431no—
488C4×D4—431no—
489C4×D4—431no—
490C4×D4—431no—
491C4×D4—432no—
492C4×D4—431no—
493C4×D4—431no—
494C4×D4—862no—
495C4×D4—861no—
496C4×D4—861no—
497C4×D4—861no—
498C4×D4—862no—
499C4×D4—861no—
500C4×D4—861no—
501#117—21no—
502#117—431no—
503#117—431no—
504#117—431no—
505#117—862no—
506#117—861no—
507C2×C4⋊C4—862no—
508C2×C4⋊C4—861no—
509C2×C4⋊C4—861no—
510C2×C42—431no—
511C2×C42—431no—
512C2×C42C22×D4311yescharacteristic
513C4⋊C8—21no—
514C4⋊C8—431no—
515C4⋊C8—431no—
516C4⋊C8—431no—
517C4⋊C8—431no—
518C4⋊C8—861no—
519C4⋊C8—861no—
520C4⋊C8—861no—
521C4⋊C8—861no—
522C4⋊C8C22×D4311yescharacteristic
523C4⋊C8C22×D4311yescharacteristic
524C4⋊C8C22×D4311yescharacteristic
525C4⋊C8C22×D4311yescharacteristic
526C22⋊C8—21no—
527C22⋊C8—861no—
528C22⋊C8—861no—
529C22⋊C8—861no—
530C22⋊C8—861no—
531C22⋊C8—861no—
532C22⋊C8—861no—
533#97—861no—
534#97—861no—
535C4×C8—21no—
536C4×C8—861no—
537C4×C8—861no—
538C4×C8—861no—
539C4×C8—861no—
540#41—862no—
541#41—862no—
542#41—3442no—
543#41—3442no—
544#41—1722no—
545#41—1722no—
546C2×Q8—21no—
547C2×Q8—431no—
548C2×Q8—432no—
549C2×Q8—862no—
550C2×Q8—3442no—
551C2×Q8C2×C4×D4312yes—
552C2×D4—431no—
553C2×D4—431no—
554C2×D4—431no—
555C2×D4—432no—
556C2×D4—862no—
557C2×D4—862no—
558C2×D4—862no—
559C2×D4—861no—
560C2×D4—861no—
561C22×C4—431no—
562C22×C4—431no—
563C22×C4—431no—
564C22×C4—431no—
565C22×C4—431no—
566C22×C4—431no—
567C22×C4—862no—
568C22×C4—862no—
569C22×C4—862no—
570C22×C4—862no—
571C22×C4C2×C4×D4311yescharacteristic
572C22×C4D4×D4311yescharacteristic
573C22×C4D4×D4311yescharacteristic
574M16—1722no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—81no—
580C2×C8—861no—
581C2×C8—861no—
582C2×C8—861no—
583C2×C8—861no—
584C2×C8—3441no—
585C2×C8—3441no—
586C2×C8—1722no—
587C4⋊C4—22no—
588C4⋊C4—22no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—431no—
593C4⋊C4—431no—
594C4⋊C4—431no—
595C4⋊C4—431no—
596C4⋊C4—431no—
597C4⋊C4—431no—
598C4⋊C4—862no—
599C4⋊C4—862no—
600C4⋊C4—862no—
601C4⋊C4—862no—
602C4⋊C4—861no—
603C4⋊C4—861no—
604C4⋊C4C2×C4×D4312yes—
605C22⋊C4—22no—
606C22⋊C4—431no—
607C22⋊C4—431no—
608C22⋊C4—431no—
609C22⋊C4—431no—
610C22⋊C4—431no—
611C22⋊C4—431no—
612C22⋊C4—862no—
613C22⋊C4—862no—
614C22⋊C4—862no—
615C22⋊C4—862no—
616C22⋊C4—862no—
617C22⋊C4—862no—
618C22⋊C4—862no—
619C42—22no—
620C42—431no—
621C42—431no—
622C42—431no—
623C42—431no—
624C42—431no—
625C42—431no—
626C42—862no—
627C42C2×C4×D4311yescharacteristic
628C42D4×D4311yescharacteristic
629C42D4×D4311yescharacteristic
630C42C23×D4311yescharacteristic
631C23—431no—
632C23—431no—
633C23—862no—
634C23C22⋊C4×D4311yescharacteristic
635Q8—42no—
636Q8—41no—
637Q8—41no—
638Q8—862no—
639Q8—3442no—
640Q8—1722no—
641D4—862no—
642D4—862no—
643D4—862no—
644D4—3442no—
645D4—3442no—
646D4—1722no—
647D4—1724no—
648D4—1721no—
649D4—1721no—
650D4—1721no—
651D4—1721no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—41no—
659C2×C4—431no—
660C2×C4—432no—
661C2×C4—432no—
662C2×C4—431no—
663C2×C4—431no—
664C2×C4—431no—
665C2×C4—431no—
666C2×C4—431no—
667C2×C4—861no—
668C2×C4—861no—
669C2×C4—861no—
670C2×C4—861no—
671C2×C4—861no—
672C2×C4—861no—
673C2×C4—862no—
674C2×C4—3442no—
675C2×C4—3442no—
676C2×C4—3442no—
677C2×C4—1721no—
678C2×C4—1721no—
679C2×C4—1724no—
680C2×C4C22⋊C4×D4311yescharacteristic
681C2×C4C22⋊C4×D4311yescharacteristic
682C2×C4C22⋊C4×D4311yescharacteristic
683C2×C4C22×C4×D4311yescharacteristic
684C2×C4C2×D4×D4311yescharacteristic
685C2×C4C2×D4×D4311yescharacteristic
686C8—41no—
687C8—41no—
688C8—41no—
689C8—41no—
690C8—1721no—
691C8—1721no—
692C8—1721no—
693C8—1721no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—432no—
698C22—861no—
699C22—861no—
700C22—861no—
701C22—861no—
702C22—861no—
703C22—1722no—
704C22—1722no—
705C22—1722no—
706C22C2×C22⋊C4×D4311yescharacteristic
707C4—21no—
708C4—21no—
709C4—21no—
710C4—21no—
711C4—42no—
712C4—42no—
713C4—432no—
714C4—861no—
715C4—861no—
716C4—861no—
717C4—861no—
718C4—861no—
719C4—1722no—
720C4#135×D4311yescharacteristic
721C4#135×D4311yescharacteristic
722C4#1458370511yescharacteristic
723C4#1458371211yescharacteristic
724C2—41no—
725C2—862no—
726C2—3442no—
727C2—1721no—
728C2#1914307211yescharacteristic
729C2#416×D4311yescharacteristic
730C2#1914312311yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC2×C4×C43C23×C4
FrattiniC42C23×D43
FittingC43×#1542C2
socleC22×C43C22×C22⋊C4
prime radical#19148507C2
cosocleC42×C43C24
hypercenter#1542D43
hypocenterC43#17726
LCSG ▷ C2×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1542

Complements

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

NH ≅ G/Ntype
2. #19143704C2semidirect
3. #19143256C2semidirect
4. #19133305C2semidirect
5. #19133302C2semidirect
6. #19133289C2semidirect
7. #19133288C2semidirect
8. #19133274C2semidirect
9. #19133271C2semidirect
10. #19133256C2semidirect
11. #19133255C2semidirect
12. #19133251C2semidirect
13. #333×D43C2semidirect
14. #19133243C2semidirect
15. C43×#1542C2semidirect
371. #1542D43semidirect
436. C43#17726semidirect

Maximal subgroups

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

subgroupindex
#191485072
#191437042
#191432562
#191333052
#191333022
#191332892
#191332882
#191332742
#191332712
#191332562
#191332552
#191332512
#333×D432
#191332432
C43×#15422
#1772643