Finite Group Databasebeta

← #25065551

Subgroups — #25065551

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#19148507C211yesmaximal, characteristic
2#19143725C211yesmaximal, characteristic, complemented
3#19143722C211yesmaximal, characteristic, complemented
4#19133329C211yesmaximal, characteristic, complemented
5#19133322C211yesmaximal, characteristic, complemented
6#19133301C211yesmaximal, characteristic, complemented
7#19133299C211yesmaximal, characteristic, complemented
8#19133278C211yesmaximal, characteristic, complemented
9#19133273C211yesmaximal, characteristic, complemented
10#19133271C211yesmaximal, characteristic, complemented
11#19133265C211yesmaximal, characteristic, complemented
12#19133256C211yesmaximal, characteristic, complemented
13#19133252C211yesmaximal, characteristic, complemented
14#19133249C211yesmaximal, characteristic, complemented
15C43×#1559C211yesmaximal, characteristic, complemented
16#14583621—21no—
17#14583612—21no—
18#14583605—21no—
19#14583602—21no—
20#14583593—21no—
21#14583561—21no—
22#14583559—21no—
23#14583551—21no—
24#14583522C412yes—
25#14583521C412yes—
26#14583479C412yes—
27#14583454C2211yescharacteristic
28#14583450C2211yescharacteristic
29#14583450C2211yescharacteristic
30#14583449C2211yescharacteristic
31C4⋊Q8×D43C2211yescharacteristic
32#14583381C412yes—
33C4×#10621898C2211yescharacteristic
34#14583027—21no—
35#14583023—21no—
36#14582976—21no—
37#14582975—21no—
38#14582975—21no—
39#14582972—21no—
40#14582967—21no—
41(C22⋊D43)⋊C8—21no—
42#14582955C2211yescharacteristic
43#14582952C2211yescharacteristic
44#14582951C2211yescharacteristic
45#14582951C2211yescharacteristic
46#14582951C2211yescharacteristic
47#14582921C2211yescharacteristic
48#14582921C2211yescharacteristic
49#14582921C2211yescharacteristic
50C2×C4⋊(C43⋊C8)C2211yescharacteristic
51C4⋊C8×D43C2211yescharacteristic
52#14582648C2211yescharacteristic
53#14582648C2211yescharacteristic
54#14582646C2211yescharacteristic
55#14582646C2211yescharacteristic
56#14582645C2211yescharacteristic
57#14582645C2211yescharacteristic
58#14582644C2211yescharacteristic
59#14582644C2211yescharacteristic
60#14582642C2211yescharacteristic
61#14582642C2211yescharacteristic
62#14582642C2211yescharacteristic
63#14582642C2211yescharacteristic
64C43×#533C2211yescharacteristic
65C43×#432C2211yescharacteristic
66C43×#423C2211yescharacteristic
67C43×#333C2211yescharacteristic
68C43×#333C2211yescharacteristic
69C43×#332C2211yescharacteristic
70C43×#332C2211yescharacteristic
71C2×#10621902—21no—
72C2×#10621902C2×C412yes—
73C2×#10621898—21no—
74C2×#10621898C2×C411yescharacteristic
75C2×Q8×D43—21no—
76C2×#10621872—21no—
77C2×#10621872—21no—
78C2×#10621872—21no—
79C22×C43⋊C8—21no—
80C2×C8×D43—21no—
81#13063325C2311yescharacteristic
82#13063324—21no—
83#13063324C2×C412yes—
84#13063323—21no—
85#13063322C2311yescharacteristic
86#13063320—22no—
87#13063319—22no—
88#13063316—21no—
89#13063314—21no—
90#13063314C2×C412yes—
91#13063313—21no—
92#13063313—22no—
93#13063311—22no—
94#13063310—22no—
95#13063307—22no—
96#13063305—21no—
97#13063305—22no—
98#13063303—22no—
99#13063303—22no—
100#13063301C2×C412yes—
101#13063300—22no—
102#13063300—21no—
103#13063300—21no—
104#13063300—21no—
105#13063300C2×C412yes—
106#13063299—21no—
107#13063299C2×C412yes—
108#13063298—22no—
109#13063298—22no—
110Q8×Dic43C2×C412yes—
111C4×Dic86D411yescharacteristic
112C4×Dic86D411yescharacteristic
113#13063290—21no—
114C4×D172—21no—
115C4×D172—22no—
116C4×D172C2×C412yes—
117C4×D172D411yescharacteristic
118C4×D172D411yescharacteristic
119#13063287—22no—
120#13063287—21no—
121#13063287—21no—
122#13063287—21no—
123#13063287C2×C412yes—
124C4×C22⋊D43D411yescharacteristic
125C4×C22⋊D43D411yescharacteristic
126C4×C22⋊D43D411yescharacteristic
127C4×C22⋊D43D411yescharacteristic
128#13063284C2×C411yescharacteristic
129#13063283—21no—
130#13063282—22no—
131#13063282C2×C411yescharacteristic
132#13063282C2×C411yescharacteristic
133C4⋊C4×D43—21no—
134C4⋊C4×D43—22no—
135C4⋊C4×D43C2×C412yes—
136C42×D43C2311yescharacteristic
137C42×D43C2311yescharacteristic
138C4⋊(C43⋊C8)—21no—
139C4⋊(C43⋊C8)C2311yescharacteristic
140C4⋊(C43⋊C8)C2311yescharacteristic
141C4⋊(C43⋊C8)C2311yescharacteristic
142C4⋊(C43⋊C8)C2311yescharacteristic
143Dic43⋊C8—21no—
144Dic43⋊C8—21no—
145Dic43⋊C8—21no—
146Dic43⋊C8—21no—
147C22⋊(C43⋊C8)—21no—
148(C2×D43)⋊C8—21no—
149(C2×D43)⋊C8—21no—
150(C2×D43)⋊C8—21no—
151(C2×D43)⋊C8—21no—
152#13063235—21no—
153C4×C43⋊C8—21no—
154C8×Dic43—21no—
155C8×Dic43—21no—
156C8×Dic43—21no—
157C2×M16×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—
173#97×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—44no—
183#10621902—81no—
184#10621902—81no—
185Q8×D43—81no—
186Q8×D43—81no—
187#10621898—42no—
188#10621898—81no—
189#10621898—81no—
190C2×D172—21no—
191C2×D172—21no—
192C2×D172—22no—
193C2×D172—22no—
194C2×D172C22⋊C411yescharacteristic
195C2×D172C22×C412yes—
196C2×C4×D43—22no—
197C2×C4×D43—22no—
198C2×C4×D43—22no—
199C2×C4×D43—22no—
200C2×C4×D43C22×C411yescharacteristic
201C2×C4×D43C22×C411yescharacteristic
202C2×C4×D43C2×D411yescharacteristic
203C2×C4×D43C2×D411yescharacteristic
204C2×C4×D43C2×D411yescharacteristic
205C2×C4×D43C2×D411yescharacteristic
206C2×Dic86—21no—
207C2×Dic86—22no—
208C2×Dic86C22⋊C411yescharacteristic
209M16×C43—81no—
210C2×C8×C43—21no—
211C2×C8×C43—21no—
212C2×C8×C43—21no—
213C2×C8×C43—21no—
214C4⋊C4×C43—22no—
215C4⋊C4×C43—22no—
216C4⋊C4×C43—21no—
217C4⋊C4×C43—21no—
218C4⋊C4×C43—21no—
219C4⋊C4×C43C22×C412yes—
220C22⋊C4×C43—22no—
221C42×C43—22no—
222C42×C43C22×C411yescharacteristic
223C42×C43C2×D411yescharacteristic
224C42×C43C2×D411yescharacteristic
225C42×C43C2411yescharacteristic
226C22⋊Dic43C22⋊C411yescharacteristic
227C22⋊Dic43C22⋊C411yescharacteristic
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)⋊C4—22no—
235(C2×D43)⋊C4C22⋊C411yescharacteristic
236(C2×D43)⋊C4C22⋊C411yescharacteristic
237(C2×D43)⋊C4C22⋊C411yescharacteristic
238(C2×D43)⋊C4C22⋊C411yescharacteristic
239C4⋊Dic43—21no—
240C4⋊Dic43—22no—
241C4⋊Dic43C22⋊C411yescharacteristic
242C4⋊Dic43C22⋊C411yescharacteristic
243C4⋊Dic43C22×C412yes—
244Dic43⋊C4—22no—
245Dic43⋊C4—22no—
246Dic43⋊C4—22no—
247Dic43⋊C4C22⋊C411yescharacteristic
248Dic43⋊C4C22⋊C411yescharacteristic
249Dic43⋊C4C22⋊C411yescharacteristic
250Dic43⋊C4C22⋊C411yescharacteristic
251C4×Dic43—22no—
252C4×Dic43C22×C411yescharacteristic
253C4×Dic43C22×C411yescharacteristic
254C4×Dic43C2×D411yescharacteristic
255C4×Dic43C2×D411yescharacteristic
256C4×Dic43C2×D411yescharacteristic
257C4×Dic43C2×D411yescharacteristic
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×C43C2×C22⋊C411yescharacteristic
268C22×D43—22no—
269C22×D43C2×C22⋊C411yescharacteristic
270C22×D43C2×C22⋊C411yescharacteristic
271Q8×C43—42no—
272Q8×C43—41no—
273Q8×C43—41no—
274C2×C4×C43—21no—
275C2×C4×C43—21no—
276C2×C4×C43—21no—
277C2×C4×C43—21no—
278C2×C4×C43—22no—
279C2×C4×C43—22no—
280C2×C4×C43—41no—
281C2×C4×C43C2×C22⋊C411yescharacteristic
282C2×C4×C43C2×C22⋊C411yescharacteristic
283C2×C4×C43C2×C22⋊C411yescharacteristic
284C2×C4×C43C23×C411yescharacteristic
285C2×C4×C43C22×D411yescharacteristic
286C2×C4×C43C22×D411yescharacteristic
287C22⋊D43—22no—
288C22⋊D43—41no—
289C22⋊D43—82no—
290C2×Dic43—22no—
291C2×Dic43C2×C22⋊C411yescharacteristic
292C2×Dic43C2×C22⋊C411yescharacteristic
293C2×Dic43C2×C22⋊C411yescharacteristic
294C2×Dic43C2×C22⋊C411yescharacteristic
295C2×Dic43C2×C22⋊C411yescharacteristic
296C2×Dic43C2×C22⋊C411yescharacteristic
297D172—41no—
298D172—42no—
299D172—44no—
300D172—41no—
301D172—41no—
302D172—41no—
303D172—41no—
304D172—82no—
305C4×D43—21no—
306C4×D43—21no—
307C4×D43—21no—
308C4×D43—21no—
309C4×D43—21no—
310C4×D43—21no—
311C4×D43—21no—
312C4×D43—21no—
313C4×D43—22no—
314C4×D43—41no—
315C4×D43—44no—
316C4×D43—82no—
317C4×D43—82no—
318C4×D43—82no—
319Dic86—22no—
320Dic86—41no—
321Dic86—41no—
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×C43C22×C22⋊C411yescharacteristic
336C2×D43—21no—
337C2×D43—21no—
338C2×D43—21no—
339C2×D43—21no—
340C2×D43—21no—
341C2×D43—21no—
342C2×D43—42no—
343C2×D43—42no—
344C2×D43—42no—
345C4×C43—21no—
346C4×C43—21no—
347C4×C43—21no—
348C4×C43—21no—
349C4×C43—42no—
350C4×C43—42no—
351C4×C43#57611yescharacteristic
352C4×C43#57711yescharacteristic
353C4×C43#57711yescharacteristic
354C4×C43#57811yescharacteristic
355Dic43—21no—
356Dic43—21no—
357Dic43—21no—
358Dic43—21no—
359Dic43—21no—
360Dic43—42no—
361Dic43#41312yes—
362#3511—431no—
363#2991—431no—
364#2990—431no—
365#1560—431no—
366#1559—431no—
367#1559D4311yescharacteristic, complemented
368#1553—431no—
369#1553—431no—
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×C43C2×#41311yescharacteristic
379C2×C43#289711yescharacteristic
380C2×C43#289811yescharacteristic
381D43—41no—
382D43—41no—
383D43—82no—
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#533C2×D4311yescharacteristic
397#532—431no—
398#532—431no—
399#532—431no—
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#431—431no—
417#423—431no—
418#423—431no—
419#423—431no—
420#423C2×D4311yescharacteristic
421C2×C4⋊C8—431no—
422C2×C4⋊C8—431no—
423#333—431no—
424#333—431no—
425#333C2×D4311yescharacteristic
426#333C2×D4311yescharacteristic
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#331—431no—
438#331—431no—
439C43#1778111yescharacteristic, complemented, Sylow
440C2×#41—431no—
441C2×#41—432no—
442C2×#41—861no—
443C2×#41—861no—
444C22×Q8—861no—
445C2×M16—21no—
446C2×M16—861no—
447C2×M16—861no—
448C2×M16—861no—
449C22×C8—861no—
450C22×C8—861no—
451C4⋊Q8—432no—
452C4⋊Q8—431no—
453C4⋊Q8—861no—
454C4⋊Q8—861no—
455C4⋊Q8C22×D4311yescharacteristic
456C4⋊Q8C22×D4311yescharacteristic
457#127—431no—
458#126—862no—
459#126—862no—
460#125—21no—
461#125—861no—
462#124—432no—
463#124—862no—
464#124—861no—
465#124—862no—
466#124—861no—
467#123—862no—
468#123—862no—
469C22⋊Q8—21no—
470C22⋊Q8—432no—
471C22⋊Q8—862no—
472C22⋊Q8—862no—
473C22⋊Q8—861no—
474C22⋊Q8—862no—
475C22⋊Q8C4×D4312yes—
476#121—432no—
477#121—432no—
478#121—862no—
479#121—862no—
480#121—861no—
481#121—861no—
482#121—861no—
483#121—862no—
484#121—861no—
485C4×Q8—21no—
486C4×Q8—431no—
487C4×Q8—431no—
488C4×Q8—432no—
489C4×Q8—861no—
490C4×Q8C4×D4312yes—
491C4×D4—431no—
492C4×D4—431no—
493C4×D4—431no—
494C4×D4—431no—
495C4×D4—432no—
496C4×D4—432no—
497C4×D4—431no—
498C4×D4—431no—
499C4×D4—862no—
500C4×D4—861no—
501C4×D4—861no—
502C4×D4—861no—
503C4×D4—862no—
504C4×D4—861no—
505#117—21no—
506#117—431no—
507#117—431no—
508#117—431no—
509#117—862no—
510#117—861no—
511C2×C4⋊C4—432no—
512C2×C4⋊C4—862no—
513C2×C4⋊C4—861no—
514C2×C42—431no—
515C2×C42—431no—
516C2×C42C22×D4311yescharacteristic
517C4⋊C8—21no—
518C4⋊C8—431no—
519C4⋊C8—431no—
520C4⋊C8—431no—
521C4⋊C8—431no—
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—861no—
533C22⋊C8—861no—
534C22⋊C8—861no—
535C22⋊C8—861no—
536C22⋊C8—861no—
537#97—21no—
538#97—861no—
539C4×C8—861no—
540C4×C8—861no—
541C4×C8—861no—
542C4×C8—861no—
543#41—3441no—
544#41—3441no—
545#41—3441no—
546#41—3441no—
547#41—1722no—
548#41—1724no—
549C2×Q8—21no—
550C2×Q8—431no—
551C2×Q8—862no—
552C2×Q8—861no—
553C2×Q8—3441no—
554C2×Q8—3441no—
555C2×Q8C2×C4×D4312yes—
556C2×D4—431no—
557C2×D4—431no—
558C2×D4—431no—
559C2×D4—432no—
560C2×D4—862no—
561C2×D4—862no—
562C2×D4—862no—
563C2×D4—861no—
564C2×D4—861no—
565C22×C4—431no—
566C22×C4—431no—
567C22×C4—431no—
568C22×C4—431no—
569C22×C4—431no—
570C22×C4—431no—
571C22×C4—862no—
572C22×C4—862no—
573C22×C4—862no—
574C22×C4—862no—
575C22×C4C2×C4×D4311yescharacteristic
576C22×C4D4×D4311yescharacteristic
577C22×C4D4×D4311yescharacteristic
578M16—81no—
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—22no—
593C4⋊C4—22no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—431no—
598C4⋊C4—431no—
599C4⋊C4—431no—
600C4⋊C4—431no—
601C4⋊C4—431no—
602C4⋊C4—431no—
603C4⋊C4—432no—
604C4⋊C4—862no—
605C4⋊C4—862no—
606C4⋊C4—862no—
607C4⋊C4—862no—
608C4⋊C4—861no—
609C4⋊C4C2×C4×D4312yes—
610C22⋊C4—22no—
611C22⋊C4—431no—
612C22⋊C4—431no—
613C22⋊C4—431no—
614C22⋊C4—431no—
615C22⋊C4—431no—
616C22⋊C4—431no—
617C22⋊C4—862no—
618C22⋊C4—862no—
619C22⋊C4—862no—
620C22⋊C4—862no—
621C22⋊C4—862no—
622C22⋊C4—862no—
623C22⋊C4—862no—
624C42—22no—
625C42—431no—
626C42—431no—
627C42—431no—
628C42—431no—
629C42—431no—
630C42—431no—
631C42—862no—
632C42C2×C4×D4311yescharacteristic
633C42D4×D4311yescharacteristic
634C42D4×D4311yescharacteristic
635C42C23×D4311yescharacteristic
636C23—431no—
637C23—431no—
638C23—862no—
639C23C22⋊C4×D4311yescharacteristic
640Q8—42no—
641Q8—41no—
642Q8—41no—
643Q8—862no—
644Q8—3442no—
645Q8—1721no—
646Q8—1721no—
647D4—862no—
648D4—3442no—
649D4—3442no—
650D4—1721no—
651D4—1722no—
652D4—1724no—
653D4—1721no—
654D4—1721no—
655D4—1721no—
656D4—1721no—
657D4—1721no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—41no—
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—3442no—
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—861no—
704C22—861no—
705C22—861no—
706C22—861no—
707C22—861no—
708C22—861no—
709C22—1722no—
710C22—1722no—
711C22—1722no—
712C22C2×C22⋊C4×D4311yescharacteristic
713C4—21no—
714C4—21no—
715C4—21no—
716C4—21no—
717C4—42no—
718C4—42no—
719C4—432no—
720C4—861no—
721C4—861no—
722C4—861no—
723C4—861no—
724C4—861no—
725C4—1722no—
726C4#1458370311yescharacteristic
727C4#1458370811yescharacteristic
728C4#1458370811yescharacteristic
729C4#1458371511yescharacteristic
730C2—41no—
731C2—3442no—
732C2—1721no—
733C2—1721no—
734C2#413×D4311yescharacteristic
735C2#1914311911yescharacteristic
736C2#1914312711yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC2×C4×C43C23×C4
FrattiniC42C23×D43
FittingC43×#1559C2
socleC22×C43C22×C22⋊C4
prime radical#19148507C2
cosocleC42×C43C24
hypercenter#1559D43
hypocenterC43#17781
LCSG ▷ C2×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1559

Complements

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

NH ≅ G/Ntype
2. #19143725C2semidirect
3. #19143722C2semidirect
4. #19133329C2semidirect
5. #19133322C2semidirect
6. #19133301C2semidirect
7. #19133299C2semidirect
8. #19133278C2semidirect
9. #19133273C2semidirect
10. #19133271C2semidirect
11. #19133265C2semidirect
12. #19133256C2semidirect
13. #19133252C2semidirect
14. #19133249C2semidirect
15. C43×#1559C2semidirect
367. #1559D43semidirect
439. C43#17781semidirect

Maximal subgroups

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

subgroupindex
#191485072
#191437252
#191437222
#191333292
#191333222
#191333012
#191332992
#191332782
#191332732
#191332712
#191332652
#191332562
#191332522
#191332492
C43×#15592
#1778143