Finite Group Databasebeta

← #25065548

Subgroups — #25065548

Order 11008.

924 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148496C211yesmaximal, characteristic
2#19143724C211yesmaximal, characteristic, complemented
3#19143722C211yesmaximal, characteristic, complemented
4#19133327C211yesmaximal, characteristic, complemented
5#19133326C211yesmaximal, characteristic, complemented
6#19133324C211yesmaximal, characteristic, complemented
7#19133297C211yesmaximal, characteristic, complemented
8#19133278C211yesmaximal, characteristic, complemented
9#19133272C211yesmaximal, characteristic, complemented
10#19133269C211yesmaximal, characteristic, complemented
11#19133265C211yesmaximal, characteristic, complemented
12#19133254C211yesmaximal, characteristic, complemented
13#19133251C211yesmaximal, characteristic, complemented
14#19133250C211yesmaximal, characteristic, complemented
15C43×#1553C211yesmaximal, characteristic, complemented
16#14583618—21no—
17#14583613—21no—
18#14583608—21no—
19#14583599—21no—
20#14583596—21no—
21#14583557—21no—
22#14583556—21no—
23#14583548—21no—
24#14583516C412yes—
25#14583514C412yes—
26#14583478C412yes—
27#14583456C2211yescharacteristic
28#14583454C2211yescharacteristic
29#14583447C2211yescharacteristic
30#14583447C2211yescharacteristic
31C4⋊Q8×D43C2211yescharacteristic
32#14583378C412yes—
33C4×#10621898C2211yescharacteristic
34#14583027—21no—
35C8×Dic86—21no—
36#14582978—21no—
37#14582974—21no—
38#14582974—21no—
39#14582972—21no—
40#14582967—21no—
41(C22⋊D43)⋊C8—21no—
42#14582955C2211yescharacteristic
43#14582951C2211yescharacteristic
44#14582951C2211yescharacteristic
45#14582951C2211yescharacteristic
46#14582923C2211yescharacteristic
47#14582921C2211yescharacteristic
48#14582921C2211yescharacteristic
49#14582921C2211yescharacteristic
50C2×C4⋊(C43⋊C8)C2211yescharacteristic
51C4⋊C8×D43C2211yescharacteristic
52#14582647C2211yescharacteristic
53#14582647C2211yescharacteristic
54#14582647C2211yescharacteristic
55#14582647C2211yescharacteristic
56#14582646C2211yescharacteristic
57#14582646C2211yescharacteristic
58#14582645C2211yescharacteristic
59#14582645C2211yescharacteristic
60#14582644C2211yescharacteristic
61#14582644C2211yescharacteristic
62#14582643C2211yescharacteristic
63#14582643C2211yescharacteristic
64C43×#532C2211yescharacteristic
65C43×#432C2211yescharacteristic
66C43×#431C2211yescharacteristic
67C43×#332C2211yescharacteristic
68C43×#332C2211yescharacteristic
69C43×#331C2211yescharacteristic
70C43×#331C2211yescharacteristic
71C2×#10621898C2×C411yescharacteristic
72C2×#10621900—21no—
73C2×#10621900C2×C412yes—
74C2×Q8×D43—21no—
75C2×#10621877—21no—
76C2×#10621872—21no—
77C2×#10621872—21no—
78C2×#10621872—21no—
79C22×C43⋊C8—21no—
80C2×C8×D43—21no—
81#13063325C2311yescharacteristic
82#13063325C2311yescharacteristic
83#13063324—21no—
84#13063324C2×C412yes—
85#13063323—21no—
86#13063318—22no—
87#13063318—22no—
88#13063317—21no—
89#13063316—21no—
90#13063312—22no—
91#13063312—21no—
92#13063312C2×C412yes—
93#13063311—22no—
94#13063308—22no—
95#13063306—22no—
96#13063305C2×C412yes—
97#13063304—21no—
98#13063304—22no—
99#13063304C2×C412yes—
100#13063302—22no—
101#13063302—22no—
102#13063301—21no—
103#13063298—22no—
104#13063297—22no—
105#13063296—22no—
106#13063296—21no—
107#13063296—21no—
108#13063296—21no—
109#13063296C2×C412yes—
110Q8×Dic43—21no—
111C4×Dic86—21no—
112C4×Dic86C2×C412yes—
113C4×Dic86D411yescharacteristic
114C4×Dic86D411yescharacteristic
115#13063290C2×C412yes—
116C4×D172D411yescharacteristic
117C4×D172D411yescharacteristic
118D4×Dic43—21no—
119D4×Dic43—21no—
120D4×Dic43—21no—
121D4×Dic43C2×C412yes—
122C4×C22⋊D43—22no—
123C4×C22⋊D43D411yescharacteristic
124C4×C22⋊D43D411yescharacteristic
125C4×C22⋊D43D411yescharacteristic
126C4×C22⋊D43D411yescharacteristic
127(C22⋊D43)⋊C4—22no—
128#13063284—21no—
129#13063284C2×C411yescharacteristic
130#13063283—21no—
131#13063282C2×C411yescharacteristic
132#13063282C2×C411yescharacteristic
133#13063281—22no—
134C2×Dic43⋊C4—22no—
135C4⋊C4×D43—21no—
136C4⋊C4×D43C2×C412yes—
137C42×D43C2311yescharacteristic
138C42×D43C2311yescharacteristic
139C4⋊(C43⋊C8)—21no—
140C4⋊(C43⋊C8)—21no—
141C4⋊(C43⋊C8)C2311yescharacteristic
142C4⋊(C43⋊C8)C2311yescharacteristic
143C4⋊(C43⋊C8)C2311yescharacteristic
144C4⋊(C43⋊C8)C2311yescharacteristic
145Dic43⋊C8—21no—
146Dic43⋊C8—21no—
147Dic43⋊C8—21no—
148Dic43⋊C8—21no—
149(C2×D43)⋊C8—21no—
150(C2×D43)⋊C8—21no—
151(C2×D43)⋊C8—21no—
152(C2×D43)⋊C8—21no—
153#13063235—21no—
154C8×Dic43—21no—
155C8×Dic43—21no—
156C8×Dic43—21no—
157C2×#41×C43—21no—
158C4⋊Q8×C43C2311yescharacteristic
159#127×C43C2311yescharacteristic
160#124×C43—21no—
161#121×C43—21no—
162#121×C43C2×C412yes—
163C4×D4×C43—21no—
164C4×D4×C43C2×C412yes—
165C2×C42×C43C2311yescharacteristic
166C4⋊C8×C43C2311yescharacteristic
167C4⋊C8×C43C2311yescharacteristic
168C4⋊C8×C43C2311yescharacteristic
169C4⋊C8×C43C2311yescharacteristic
170C22⋊C8×C43—21no—
171C22⋊C8×C43—21no—
172#97×C43—21no—
173C4×C8×C43—21no—
174#41×C43—81no—
175#41×C43—81no—
176C2×Q8×C43—21no—
177C2×D4×C43—21no—
178C2×D4×C43—21no—
179C2×D4×C43—22no—
180C2×D4×C43C22×C412yes—
181C22×C4×C43—22no—
182C22×C4×C43C22×C411yescharacteristic
183C22×C4×C43C2×D411yescharacteristic
184C22×C4×C43C2×D411yescharacteristic
185C2×C22⋊D43—22no—
186C2×C22⋊D43—22no—
187C2×C22⋊D43C22⋊C411yescharacteristic
188C2×C22⋊D43C22⋊C411yescharacteristic
189C22×Dic43—22no—
190C22×Dic43—22no—
191Q8×D43—81no—
192Q8×D43—81no—
193#10621900—44no—
194#10621900—81no—
195#10621900—81no—
196#10621898—42no—
197C2×D172C22⋊C411yescharacteristic
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—21no—
206C2×Dic86—22no—
207C2×Dic86C22⋊C411yescharacteristic
208C2×Dic86C22×C412yes—
209C2×C8×C43—21no—
210C2×C8×C43—21no—
211C2×C8×C43—21no—
212C2×C8×C43—21no—
213C4⋊C4×C43—21no—
214C4⋊C4×C43C22×C412yes—
215C22⋊C4×C43—22no—
216C22⋊C4×C43—22no—
217C42×C43C22×C411yescharacteristic
218C42×C43C2×D411yescharacteristic
219C42×C43C2×D411yescharacteristic
220C42×C43C2411yescharacteristic
221C22⋊Dic43—22no—
222C22⋊Dic43—22no—
223C22⋊Dic43—22no—
224C22⋊Dic43—22no—
225C22⋊Dic43—22no—
226C22⋊Dic43C22⋊C411yescharacteristic
227C22⋊Dic43C22⋊C411yescharacteristic
228(C2×D43)⋊C4—22no—
229(C2×D43)⋊C4C22⋊C411yescharacteristic
230(C2×D43)⋊C4C22⋊C411yescharacteristic
231(C2×D43)⋊C4C22⋊C411yescharacteristic
232(C2×D43)⋊C4C22⋊C411yescharacteristic
233C4⋊Dic43—21no—
234C4⋊Dic43—21no—
235C4⋊Dic43—21no—
236C4⋊Dic43—22no—
237C4⋊Dic43C22⋊C411yescharacteristic
238C4⋊Dic43C22⋊C411yescharacteristic
239C4⋊Dic43C22×C412yes—
240Dic43⋊C4—22no—
241Dic43⋊C4—22no—
242Dic43⋊C4—22no—
243Dic43⋊C4—22no—
244Dic43⋊C4—22no—
245Dic43⋊C4C22⋊C411yescharacteristic
246Dic43⋊C4C22⋊C411yescharacteristic
247Dic43⋊C4C22⋊C411yescharacteristic
248Dic43⋊C4C22⋊C411yescharacteristic
249C4×Dic43—22no—
250C4×Dic43—22no—
251C4×Dic43C22×C411yescharacteristic
252C4×Dic43C22×C411yescharacteristic
253C4×Dic43C2×D411yescharacteristic
254C4×Dic43C2×D411yescharacteristic
255C4×Dic43C2×D411yescharacteristic
256C4×Dic43C2×D411yescharacteristic
257#10621877—81no—
258C2×C43⋊C8—21no—
259C2×C43⋊C8—21no—
260C2×C43⋊C8—21no—
261C2×C43⋊C8—21no—
262C2×C43⋊C8—81no—
263#10621872—81no—
264#10621872—81no—
265#10621872—81no—
266C8×D43—81no—
267C23×C43—22no—
268C23×C43C2×C22⋊C411yescharacteristic
269C22×D43C2×C22⋊C411yescharacteristic
270C22×D43C2×C22⋊C411yescharacteristic
271Q8×C43—41no—
272Q8×C43—41no—
273D4×C43—42no—
274D4×C43—41no—
275D4×C43—41no—
276D4×C43—41no—
277D4×C43—41no—
278D4×C43—82no—
279C2×C4×C43—21no—
280C2×C4×C43—21no—
281C2×C4×C43—21no—
282C2×C4×C43—21no—
283C2×C4×C43—22no—
284C2×C4×C43—41no—
285C2×C4×C43—82no—
286C2×C4×C43C2×C22⋊C411yescharacteristic
287C2×C4×C43C2×C22⋊C411yescharacteristic
288C2×C4×C43C2×C22⋊C411yescharacteristic
289C2×C4×C43C23×C411yescharacteristic
290C2×C4×C43C22×D411yescharacteristic
291C2×C4×C43C22×D411yescharacteristic
292C22⋊D43—22no—
293C22⋊D43—41no—
294C22⋊D43—44no—
295C22⋊D43—82no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—44no—
299C2×Dic43—82no—
300C2×Dic43C2×C22⋊C411yescharacteristic
301C2×Dic43C2×C22⋊C411yescharacteristic
302C2×Dic43C2×C22⋊C411yescharacteristic
303C2×Dic43C2×C22⋊C411yescharacteristic
304C2×Dic43C2×C22⋊C411yescharacteristic
305C2×Dic43C2×C22⋊C411yescharacteristic
306D172—41no—
307C4×D43—21no—
308C4×D43—21no—
309C4×D43—21no—
310C4×D43—21no—
311C4×D43—21no—
312C4×D43—21no—
313C4×D43—21no—
314C4×D43—21no—
315C4×D43—22no—
316C4×D43—41no—
317C4×D43—82no—
318Dic86—22no—
319Dic86—41no—
320Dic86—41no—
321Dic86—42no—
322Dic86—82no—
323C8×C43—41no—
324C8×C43—41no—
325C8×C43—41no—
326C8×C43—41no—
327C43⋊C8—41no—
328C43⋊C8—41no—
329C43⋊C8—41no—
330C43⋊C8—41no—
331#17781—431nomaximal, Sylow
332C22×C43—21no—
333C22×C43—21no—
334C22×C43—21no—
335C22×C43—42no—
336C22×C43—42no—
337C22×C43—42no—
338C22×C43C22×C22⋊C411yescharacteristic
339C2×D43—21no—
340C2×D43—21no—
341C2×D43—21no—
342C2×D43—21no—
343C2×D43—21no—
344C2×D43—21no—
345C4×C43—21no—
346C4×C43—21no—
347C4×C43—21no—
348C4×C43—21no—
349C4×C43—42no—
350C4×C43#57611yescharacteristic
351C4×C43#57711yescharacteristic
352C4×C43#57711yescharacteristic
353C4×C43#57811yescharacteristic
354Dic43—21no—
355Dic43—21no—
356Dic43—21no—
357Dic43—21no—
358Dic43—21no—
359Dic43—42no—
360Dic43—42no—
361Dic43#41312yes—
362#3511—431no—
363#2991—431no—
364#2990—431no—
365#1560—431no—
366#1559—431no—
367#1559—431no—
368#1553—431no—
369#1553D4311yescharacteristic, complemented
370#1549—431no—
371#1547—431no—
372#1547—431no—
373#1546—431no—
374#1543—431no—
375#1542—431no—
376#1542—431no—
377C2×C43—41no—
378C2×C43—82no—
379C2×C43C2×#41311yescharacteristic
380C2×C43#289711yescharacteristic
381C2×C43#289811yescharacteristic
382D43—41no—
383D43—41no—
384#556—861no—
385#555—861no—
386#554—861no—
387#553—861no—
388#553—861no—
389#548—861no—
390#548—861no—
391#547—861no—
392#542—432no—
393#542—432no—
394#537—432no—
395#533—431no—
396#533—431no—
397#532—431no—
398#532—431no—
399#532C2×D4311yescharacteristic
400C2×C4⋊Q8—431no—
401#520—432no—
402C4×#41—431no—
403#446—861no—
404C8×Q8—861no—
405#436—861no—
406#436—861no—
407#436—861no—
408#435—861no—
409#435—861no—
410C8×D4—861no—
411#432—431no—
412#432C2×D4311yescharacteristic
413#431—431no—
414#431—431no—
415#431—431no—
416#431C2×D4311yescharacteristic
417#423—431no—
418#423—431no—
419#423—431no—
420#423—431no—
421C2×C4⋊C8—431no—
422C2×C4⋊C8—431no—
423#333—431no—
424#333—431no—
425#333—431no—
426#333—431no—
427#332—431no—
428#332—431no—
429#332—431no—
430#332—431no—
431#332—431no—
432#332—431no—
433#332C2×D4311yescharacteristic
434#332C2×D4311yescharacteristic
435#331—431no—
436#331—431no—
437#331C2×D4311yescharacteristic
438#331C2×D4311yescharacteristic
439C43#1778111yescharacteristic, complemented, Sylow
440C2×#41—21no—
441C2×#41—431no—
442C2×#41—432no—
443C2×#41—861no—
444C22×Q8—861no—
445C2×M16—861no—
446C2×M16—861no—
447C2×M16—861no—
448C2×M16—861no—
449C22×C8—861no—
450C22×C8—861no—
451C4⋊Q8—432no—
452C4⋊Q8—431no—
453C4⋊Q8—431no—
454C4⋊Q8—861no—
455C4⋊Q8—861no—
456C4⋊Q8C22×D4311yescharacteristic
457#127C22×D4311yescharacteristic
458#126—862no—
459#126—862no—
460#125—861no—
461#125—861no—
462#124—21no—
463#124—432no—
464#124—861no—
465#124—862no—
466#124—862no—
467#123—862no—
468#123—862no—
469C22⋊Q8—432no—
470C22⋊Q8—432no—
471C22⋊Q8—862no—
472C22⋊Q8—862no—
473C22⋊Q8—862no—
474C22⋊Q8—861no—
475C22⋊Q8—861no—
476#121—21no—
477#121—432no—
478#121—862no—
479#121—861no—
480#121—861no—
481#121—861no—
482#121—862no—
483#121—862no—
484#121C4×D4312yes—
485C4×Q8—431no—
486C4×Q8—431no—
487C4×Q8—432no—
488C4×Q8—432no—
489C4×Q8—861no—
490C4×Q8—861no—
491C4×D4—21no—
492C4×D4—431no—
493C4×D4—431no—
494C4×D4—431no—
495C4×D4—431no—
496C4×D4—432no—
497C4×D4—431no—
498C4×D4—431no—
499C4×D4—861no—
500C4×D4—861no—
501C4×D4—861no—
502C4×D4—862no—
503C4×D4—862no—
504C4×D4C4×D4312yes—
505#117—431no—
506#117—431no—
507#117—431no—
508#117—862no—
509#117—861no—
510#117—861no—
511C2×C4⋊C4—432no—
512C2×C4⋊C4—861no—
513C2×C4⋊C4—862no—
514C2×C42—431no—
515C2×C42—431no—
516C2×C42C22×D4311yescharacteristic
517C4⋊C8—431no—
518C4⋊C8—431no—
519C4⋊C8—431no—
520C4⋊C8—431no—
521C4⋊C8—861no—
522C4⋊C8—861no—
523C4⋊C8—861no—
524C4⋊C8—861no—
525C4⋊C8—861no—
526C4⋊C8—861no—
527C4⋊C8C22×D4311yescharacteristic
528C4⋊C8C22×D4311yescharacteristic
529C4⋊C8C22×D4311yescharacteristic
530C4⋊C8C22×D4311yescharacteristic
531C22⋊C8—21no—
532C22⋊C8—21no—
533C22⋊C8—861no—
534C22⋊C8—861no—
535C22⋊C8—861no—
536C22⋊C8—861no—
537#97—21no—
538#97—861no—
539C4×C8—21no—
540C4×C8—861no—
541C4×C8—861no—
542C4×C8—861no—
543#41—81no—
544#41—81no—
545#41—3441no—
546#41—3441no—
547#41—1722no—
548#41—1724no—
549C2×Q8—21no—
550C2×Q8—431no—
551C2×Q8—432no—
552C2×Q8—862no—
553C2×Q8—861no—
554C2×Q8—3441no—
555C2×Q8—3441no—
556C2×D4—22no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—431no—
560C2×D4—431no—
561C2×D4—431no—
562C2×D4—862no—
563C2×D4—862no—
564C2×D4C2×C4×D4312yes—
565C22×C4—22no—
566C22×C4—431no—
567C22×C4—431no—
568C22×C4—431no—
569C22×C4—431no—
570C22×C4—431no—
571C22×C4—431no—
572C22×C4—862no—
573C22×C4—862no—
574C22×C4—862no—
575C22×C4C2×C4×D4311yescharacteristic
576C22×C4D4×D4311yescharacteristic
577C22×C4D4×D4311yescharacteristic
578M16—3441no—
579M16—3441no—
580M16—3441no—
581M16—3441no—
582C2×C8—21no—
583C2×C8—21no—
584C2×C8—21no—
585C2×C8—21no—
586C2×C8—861no—
587C2×C8—861no—
588C2×C8—861no—
589C2×C8—861no—
590C2×C8—3441no—
591C2×C8—3441no—
592C4⋊C4—21no—
593C4⋊C4—431no—
594C4⋊C4—431no—
595C4⋊C4—431no—
596C4⋊C4—431no—
597C4⋊C4—431no—
598C4⋊C4—431no—
599C4⋊C4—432no—
600C4⋊C4—862no—
601C4⋊C4—862no—
602C4⋊C4—862no—
603C4⋊C4—862no—
604C4⋊C4—862no—
605C4⋊C4—862no—
606C4⋊C4—861no—
607C4⋊C4—861no—
608C4⋊C4—861no—
609C4⋊C4C2×C4×D4312yes—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—431no—
613C22⋊C4—431no—
614C22⋊C4—431no—
615C22⋊C4—431no—
616C22⋊C4—431no—
617C22⋊C4—431no—
618C22⋊C4—862no—
619C22⋊C4—862no—
620C22⋊C4—862no—
621C22⋊C4—862no—
622C22⋊C4—862no—
623C22⋊C4—862no—
624C42—431no—
625C42—431no—
626C42—431no—
627C42—431no—
628C42—431no—
629C42—431no—
630C42—862no—
631C42—862no—
632C42C2×C4×D4311yescharacteristic
633C42D4×D4311yescharacteristic
634C42D4×D4311yescharacteristic
635C42C23×D4311yescharacteristic
636C23—22no—
637C23—431no—
638C23—431no—
639C23C22⋊C4×D4311yescharacteristic
640Q8—41no—
641Q8—41no—
642Q8—862no—
643Q8—3442no—
644Q8—1722no—
645Q8—1721no—
646Q8—1721no—
647D4—42no—
648D4—41no—
649D4—41no—
650D4—41no—
651D4—41no—
652D4—82no—
653D4—862no—
654D4—3442no—
655D4—1721no—
656D4—1721no—
657D4—1724no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—22no—
663C2×C4—41no—
664C2×C4—82no—
665C2×C4—431no—
666C2×C4—431no—
667C2×C4—431no—
668C2×C4—431no—
669C2×C4—431no—
670C2×C4—431no—
671C2×C4—862no—
672C2×C4—861no—
673C2×C4—861no—
674C2×C4—861no—
675C2×C4—861no—
676C2×C4—861no—
677C2×C4—861no—
678C2×C4—861no—
679C2×C4—861no—
680C2×C4—862no—
681C2×C4—862no—
682C2×C4—3442no—
683C2×C4—3442no—
684C2×C4—1721no—
685C2×C4—1724no—
686C2×C4C22⋊C4×D4311yescharacteristic
687C2×C4C22⋊C4×D4311yescharacteristic
688C2×C4C22⋊C4×D4311yescharacteristic
689C2×C4C22×C4×D4311yescharacteristic
690C2×C4C2×D4×D4311yescharacteristic
691C2×C4C2×D4×D4311yescharacteristic
692C8—41no—
693C8—41no—
694C8—41no—
695C8—41no—
696C8—1721no—
697C8—1721no—
698C8—1721no—
699C8—1721no—
700C22—21no—
701C22—21no—
702C22—21no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—861no—
707C22—861no—
708C22—861no—
709C22—861no—
710C22—861no—
711C22—861no—
712C22C2×C22⋊C4×D4311yescharacteristic
713C4—21no—
714C4—21no—
715C4—21no—
716C4—21no—
717C4—42no—
718C4—432no—
719C4—861no—
720C4—861no—
721C4—861no—
722C4—861no—
723C4—861no—
724C4—1722no—
725C4—1722no—
726C4#1458370311yescharacteristic
727C4#1458370611yescharacteristic
728C4#1458370911yescharacteristic
729C4#1458371311yescharacteristic
730C2—41no—
731C2—82no—
732C2—1721no—
733C2—1721no—
734C2#413×D4311yescharacteristic
735C2#1914312011yescharacteristic
736C2#1914312411yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC2×C4×C43C23×C4
FrattiniC42C23×D43
FittingC43×#1553C2
socleC22×C43C22×C22⋊C4
prime radical#19148496C2
cosocleC42×C43C24
hypercenter#1553D43
hypocenterC43#17781
LCSG ▷ C2×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1553

Complements

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

NH ≅ G/Ntype
2. #19143724C2semidirect
3. #19143722C2semidirect
4. #19133327C2semidirect
5. #19133326C2semidirect
6. #19133324C2semidirect
7. #19133297C2semidirect
8. #19133278C2semidirect
9. #19133272C2semidirect
10. #19133269C2semidirect
11. #19133265C2semidirect
12. #19133254C2semidirect
13. #19133251C2semidirect
14. #19133250C2semidirect
15. C43×#1553C2semidirect
369. #1553D43semidirect
439. C43#17781semidirect

Maximal subgroups

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

subgroupindex
#191484962
#191437242
#191437222
#191333272
#191333262
#191333242
#191332972
#191332782
#191332722
#191332692
#191332652
#191332542
#191332512
#191332502
C43×#15532
#1778143