Finite Group Databasebeta

← #25106443

Subgroups — #25106443

Order 11008.

1076 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583431C211yesmaximal, characteristic
2#19143227C211yesmaximal, characteristic, complemented
3#423×D43C211yesmaximal, characteristic, complemented
4#19135586C212yesmaximal, complemented
5#19135441C212yesmaximal, complemented
6#19135062C212yesmaximal, complemented
7#19135055C212yesmaximal
8#19134588C211yesmaximal, characteristic, complemented
9#19134588C211yesmaximal, characteristic, complemented
10#19134587C211yesmaximal, characteristic, complemented
11C43×#1800C211yesmaximal, characteristic, complemented
12C2×M16×D43C2212yes—
13#14583431—21no—
14#14583431—21no—
15#14583431—21no—
16#14583431—21no—
17#14583431—21no—
18#14583431—21no—
19#14583431—21no—
20#14583431—21no—
21C2×#13063318C412yes—
22C2×#13063316C2211yescharacteristic
23C2×#13063312C2211yescharacteristic
24C2×#13063307C412yes—
25C2×#13063305C2211yescharacteristic
26C2×#13063296C2211yescharacteristic
27C2×C4×Dic86C2211yescharacteristic
28C2×C4×C22⋊D43C412yes—
29C2×#13063284C412yes—
30C2×C42×D43C2211yescharacteristic
31#14582955—21no—
32#14582955—21no—
33#14582951—21no—
34#14582951—21no—
35#14582923C2211yescharacteristic
36#14582923C2211yescharacteristic
37#14582922C2212yes—
38#14582921—21no—
39#14582921—21no—
40C4⋊C8×D43—21no—
41C4⋊C8×D43—21no—
42C2×#13063243C2212yes—
43C2×#13063243C2212yes—
44C2×#13063242C2212yes—
45#14582862C2212yes—
46M16×Dic43C2212yes—
47#14582668C2212yes—
48#14582667C2212yes—
49#14582667C2212yes—
50C2×C4×D4×C43C2211yescharacteristic
51C43×#423C2211yescharacteristic
52C43×#423C2211yescharacteristic
53C2×#100×C43C2212yes—
54C43×#343C2212yes—
55C22×Dic86C2311yescharacteristic
56C22×C22⋊D43C2×C412yes—
57C22×C4×D43C2×C411yescharacteristic
58C22×C4×D43C2×C411yescharacteristic
59C22×C4×D43C2311yescharacteristic
60C2×#10621877C2312yes—
61C2×#10621877C2312yes—
62C2×#10621872—22no—
63M16×D43—42no—
64M16×D43—42no—
65C2×C8×D43—22no—
66#13063318—22no—
67#13063318—22no—
68#13063318—22no—
69#13063318—22no—
70#13063316—21no—
71#13063316—21no—
72#13063316—21no—
73#13063316—21no—
74#13063312—21no—
75#13063312—21no—
76#13063312—21no—
77#13063312—21no—
78#13063307—22no—
79#13063307—22no—
80#13063307—22no—
81#13063307—22no—
82#13063305—21no—
83#13063305—21no—
84#13063305—21no—
85#13063305—21no—
86#13063296—21no—
87#13063296—21no—
88#13063296—21no—
89#13063296—21no—
90C4×Dic86—21no—
91C4×Dic86—21no—
92C4×Dic86—21no—
93C4×Dic86—21no—
94C4×C22⋊D43—22no—
95C4×C22⋊D43—22no—
96C4×C22⋊D43—22no—
97C4×C22⋊D43—22no—
98#13063284—22no—
99#13063284—22no—
100#13063284—22no—
101#13063284—22no—
102C2×C4⋊Dic43C2×C412yes—
103C2×C4⋊Dic43C2×C412yes—
104C2×C4⋊Dic43C2311yescharacteristic
105C2×Dic43⋊C4C2×C412yes—
106C2×Dic43⋊C4C2×C412yes—
107C2×C22⋊Dic43C2×C412yes—
108C2×C22⋊Dic43C2×C412yes—
109C2×C22⋊Dic43C2×C412yes—
110C2×(C2×D43)⋊C4C2×C412yes—
111C2×C4×Dic43C2×C412yes—
112C2×C4×Dic43C2×C411yescharacteristic
113C2×C4×Dic43C2×C411yescharacteristic
114C2×C4×Dic43C2311yescharacteristic
115C42×D43D411yescharacteristic
116C42×D43D411yescharacteristic
117C42×D43D411yescharacteristic
118C42×D43D411yescharacteristic
119C42×D43D411yescharacteristic
120C42×D43D411yescharacteristic
121C42×D43D411yescharacteristic
122C42×D43D411yescharacteristic
123C4⋊(C43⋊C8)—21no—
124C4⋊(C43⋊C8)—21no—
125C4⋊(C43⋊C8)—21no—
126C4⋊(C43⋊C8)—21no—
127Dic43⋊C8—22no—
128Dic43⋊C8—22no—
129#13063243—42no—
130#13063243—42no—
131#13063242—42no—
132(C2×D43)⋊C8—22no—
133(C2×D43)⋊C8—22no—
134#13063235—22no—
135C8×Dic43—22no—
136C22×D4×C43C2311yescharacteristic
137C23×C4×C43C2×C412yes—
138C2×M16×C43C2312yes—
139C2×M16×C43C2312yes—
140C4×D4×C43—21no—
141C4×D4×C43—21no—
142C4×D4×C43—21no—
143C4×D4×C43—21no—
144C2×C4⋊C4×C43C2311yescharacteristic
145C2×C22⋊C4×C43C2×C412yes—
146C2×C42×C43C2311yescharacteristic
147C4⋊C8×C43—21no—
148C4⋊C8×C43—21no—
149C4⋊C8×C43—21no—
150C4⋊C8×C43—21no—
151#100×C43—42no—
152C24×C43C22×C412yes—
153C23×D43C22×C411yescharacteristic
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—21no—
157C2×D4×C43—21no—
158C2×D4×C43—21no—
159C2×D4×C43—21no—
160C22×C4×C43—22no—
161C22×C4×C43—22no—
162C22×C4×C43—44no—
163C22×C4×C43C22×C411yescharacteristic
164C22×C4×C43C22×C412yes—
165C22×C4×C43C22×C411yescharacteristic
166C22×C4×C43C2411yescharacteristic
167C2×C22⋊D43—22no—
168C2×C22⋊D43—22no—
169C2×C22⋊D43—44no—
170C22×Dic43C22×C412yes—
171C22×Dic43C22×C411yescharacteristic
172C22×Dic43C22×C412yes—
173C22×Dic43C22×C411yescharacteristic
174C22×Dic43C22×C411yescharacteristic
175C2×C4×D43—21no—
176C2×C4×D43—21no—
177C2×C4×D43—21no—
178C2×C4×D43—21no—
179C2×C4×D43—42no—
180C2×C4×D43—42no—
181C2×C4×D43C22⋊C411yescharacteristic
182C2×C4×D43C22⋊C411yescharacteristic
183C2×C4×D43C22⋊C411yescharacteristic
184C2×C4×D43C22⋊C411yescharacteristic
185C2×C4×D43C22⋊C411yescharacteristic
186C2×C4×D43C22⋊C411yescharacteristic
187C2×C4×D43C22⋊C411yescharacteristic
188C2×C4×D43C22⋊C411yescharacteristic
189C2×C4×D43C2×D411yescharacteristic
190C2×C4×D43C2×D411yescharacteristic
191C2×C4×D43C2×D411yescharacteristic
192C2×C4×D43C2×D411yescharacteristic
193C2×Dic86—21no—
194C2×Dic86—21no—
195C2×Dic86—21no—
196C2×Dic86—21no—
197C2×Dic86—21no—
198C2×Dic86—21no—
199M16×C43—22no—
200M16×C43—22no—
201M16×C43—22no—
202M16×C43—22no—
203C2×C8×C43—22no—
204C2×C8×C43—22no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—21no—
207C22⋊C4×C43—22no—
208C22⋊C4×C43—22no—
209C42×C43C2×D411yescharacteristic
210C42×C43C2×D411yescharacteristic
211C42×C43C2×D411yescharacteristic
212C42×C43C2×D411yescharacteristic
213C22⋊Dic43—22no—
214C22⋊Dic43—22no—
215C22⋊Dic43—22no—
216C22⋊Dic43—22no—
217C22⋊Dic43—22no—
218C22⋊Dic43—22no—
219(C2×D43)⋊C4—22no—
220(C2×D43)⋊C4—22no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—22no—
224C4⋊Dic43—22no—
225C4⋊Dic43—22no—
226C4⋊Dic43—22no—
227Dic43⋊C4—22no—
228Dic43⋊C4—22no—
229Dic43⋊C4—22no—
230Dic43⋊C4—22no—
231C4×Dic43—22no—
232C4×Dic43—22no—
233C4×Dic43C22⋊C411yescharacteristic
234C4×Dic43C22⋊C411yescharacteristic
235C4×Dic43C22⋊C411yescharacteristic
236C4×Dic43C22⋊C411yescharacteristic
237C4×Dic43C22⋊C411yescharacteristic
238C4×Dic43C22⋊C411yescharacteristic
239C4×Dic43C22⋊C411yescharacteristic
240C4×Dic43C22⋊C411yescharacteristic
241C4×Dic43C2×D411yescharacteristic
242C4×Dic43C2×D411yescharacteristic
243C4×Dic43C2×D411yescharacteristic
244C4×Dic43C2×D411yescharacteristic
245#10621877—22no—
246#10621877—22no—
247#10621877—22no—
248#10621877—22no—
249C2×C43⋊C8—22no—
250C2×C43⋊C8—22no—
251#10621872—44no—
252C8×D43—44no—
253C23×C43—22no—
254C23×C43—22no—
255C23×C43—22no—
256C23×C43—42no—
257C23×C43—42no—
258C23×C43C23×C411yescharacteristic
259C22×D43—21no—
260C22×D43—21no—
261C22×D43—22no—
262C22×D43—41no—
263C22×D43C2×C22⋊C411yescharacteristic
264C22×D43C2×C22⋊C411yescharacteristic
265D4×C43—41no—
266D4×C43—41no—
267D4×C43—41no—
268D4×C43—41no—
269C2×C4×C43—22no—
270C2×C4×C43—22no—
271C2×C4×C43—41no—
272C2×C4×C43—44no—
273C2×C4×C43—44no—
274C2×C4×C43—42no—
275C2×C4×C43C2×C22⋊C411yescharacteristic
276C2×C4×C43C2×C22⋊C411yescharacteristic
277C2×C4×C43C2×C22⋊C411yescharacteristic
278C2×C4×C43C2×C22⋊C411yescharacteristic
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C22×D411yescharacteristic
281C2×C4×C43H(5,𝔽2)11yescharacteristic
282C2×C4×C43H(5,𝔽2)11yescharacteristic
283C2×C4×C432−1+411yescharacteristic
284C2×C4×C432−1+411yescharacteristic
285C22⋊D43—44no—
286C22⋊D43—44no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—42no—
296C2×Dic43C2×C22⋊C411yescharacteristic
297C2×Dic43C2×C22⋊C411yescharacteristic
298C2×Dic43C2×C22⋊C411yescharacteristic
299C2×Dic43C2×C22⋊C411yescharacteristic
300C2×Dic43C2×C22⋊C411yescharacteristic
301C2×Dic43C2×C22⋊C411yescharacteristic
302C4×D43—22no—
303C4×D43—22no—
304C4×D43—21no—
305C4×D43—21no—
306C4×D43—21no—
307C4×D43—21no—
308C4×D43—21no—
309C4×D43—21no—
310C4×D43—21no—
311C4×D43—21no—
312C4×D43—22no—
313C4×D43—22no—
314C4×D43—41no—
315C4×D43—41no—
316C4×D43—41no—
317C4×D43—41no—
318Dic86—41no—
319Dic86—41no—
320Dic86—41no—
321Dic86—41no—
322C8×C43—42no—
323C8×C43—42no—
324C43⋊C8—42no—
325C43⋊C8—42no—
326#21880—431nomaximal, Sylow
327C22×C43—21no—
328C22×C43—21no—
329C22×C43—42no—
330C22×C43—42no—
331C22×C43—42no—
332C22×C43—82no—
333C22×C43—82no—
334C22×C43C22×C22⋊C411yescharacteristic
335C22×C43#52011yescharacteristic
336C22×C43#52011yescharacteristic
337C2×D43—21no—
338C2×D43—21no—
339C2×D43—21no—
340C2×D43—21no—
341C2×D43—21no—
342C2×D43—42no—
343C2×D43—42no—
344C2×D43#41312yes—
345C4×C43—21no—
346C4×C43—21no—
347C4×C43—21no—
348C4×C43—42no—
349C4×C43#41312yes—
350C4×C43#53511yescharacteristic
351C4×C43#53611yescharacteristic
352C4×C43#53711yescharacteristic
353C4×C43#53711yescharacteristic
354Dic43—21no—
355Dic43—21no—
356Dic43—21no—
357Dic43—21no—
358Dic43—21no—
359Dic43—21no—
360Dic43—42no—
361Dic43—42no—
362C2×#529—431no—
363#2920—431no—
364C2×#423—431no—
365#1998—432no—
366#1967—432no—
367#1901—432no—
368#1900—432no—
369#1801—431no—
370#1801—431no—
371#1800—431no—
372#1800D4311yescharacteristic, complemented
373C2×C43—21no—
374C2×C43—21no—
375C2×C43—82no—
376C2×C43#231111yescharacteristic
377C2×C43C2×#41311yescharacteristic
378C2×C43C2×#41311yescharacteristic
379D43—22no—
380D43—41no—
381C22×M16—432no—
382#529—861no—
383#529—861no—
384#529—861no—
385#529—861no—
386#529—861no—
387#529—861no—
388#529—861no—
389#529—861no—
390C2×#126—432no—
391C2×#125—431no—
392C2×#124—431no—
393C2×#123—432no—
394C2×C22⋊Q8—431no—
395C2×#121—431no—
396C2×C4×Q8—431no—
397C2×C4×D4—432no—
398C2×C4×D4C2×D4311yescharacteristic
399C2×#117—432no—
400C22×C42—431no—
401#432—861no—
402#432—861no—
403#431—861no—
404#431—861no—
405#423—432no—
406#423—431no—
407#423—431no—
408#423—861no—
409#423—861no—
410#423C2×D4311yescharacteristic
411#423C2×D4311yescharacteristic
412C2×C4⋊C8—861no—
413C2×C4⋊C8—861no—
414C2×#101—432no—
415C2×#101—432no—
416C2×#100—432no—
417C2×#100C2×D4312yes—
418#407—432no—
419C4×M16—432no—
420#343—432no—
421#343—432no—
422#343—432no—
423#343C2×D4312yes—
424C43#2188011yescharacteristic, complemented, Sylow
425C22×Q8—431no—
426C22×D4—432no—
427C22×D4C22×D4311yescharacteristic
428C23×C4—431no—
429C23×C4—431no—
430C23×C4—431no—
431C23×C4C4×D4312yes—
432C2×M16—432no—
433C2×M16—432no—
434C2×M16—862no—
435C2×M16—1722no—
436C2×M16—1722no—
437C2×M16C22×D4312yes—
438C2×M16C22×D4312yes—
439C22×C8—862no—
440#126—862no—
441#126—862no—
442#126—862no—
443#126—862no—
444#125—861no—
445#125—861no—
446#125—861no—
447#125—861no—
448#124—861no—
449#124—861no—
450#124—861no—
451#124—861no—
452#123—862no—
453#123—862no—
454#123—862no—
455#123—862no—
456C22⋊Q8—861no—
457C22⋊Q8—861no—
458C22⋊Q8—861no—
459C22⋊Q8—861no—
460#121—861no—
461#121—861no—
462#121—861no—
463#121—861no—
464C4×Q8—861no—
465C4×Q8—861no—
466C4×Q8—861no—
467C4×Q8—861no—
468C4×D4—21no—
469C4×D4—21no—
470C4×D4—21no—
471C4×D4—21no—
472C4×D4—862no—
473C4×D4—862no—
474C4×D4—862no—
475C4×D4—862no—
476#117—862no—
477#117—862no—
478#117—862no—
479#117—862no—
480C2×C4⋊C4—432no—
481C2×C4⋊C4—432no—
482C2×C4⋊C4—432no—
483C2×C4⋊C4—432no—
484C2×C4⋊C4—431no—
485C2×C4⋊C4C22×D4311yescharacteristic
486C2×C22⋊C4—432no—
487C2×C22⋊C4—432no—
488C2×C22⋊C4—432no—
489C2×C22⋊C4—432no—
490C2×C22⋊C4C4×D4312yes—
491C2×C42—431no—
492C2×C42—431no—
493C2×C42—431no—
494C2×C42—431no—
495C2×C42—431no—
496C2×C42—431no—
497C2×C42—431no—
498C2×C42—431no—
499C2×C42—431no—
500C2×C42—431no—
501C2×C42—431no—
502C2×C42—432no—
503C2×C42C22×D4311yescharacteristic
504C4⋊C8—21no—
505C4⋊C8—21no—
506C4⋊C8—21no—
507C4⋊C8—21no—
508C4⋊C8—862no—
509C4⋊C8—862no—
510C4⋊C8—861no—
511C4⋊C8—861no—
512C4⋊C8—861no—
513C4⋊C8—861no—
514#101—1722no—
515#101—1722no—
516#100—42no—
517#100—1722no—
518C22⋊C8—862no—
519C22⋊C8—862no—
520#97—862no—
521C4×C8—862no—
522C24—431no—
523C24C2×C4×D4312yes—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8—861no—
528C2×Q8—861no—
529C2×Q8—861no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—862no—
537C2×D4—862no—
538C2×D4—1724no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—44no—
542C22×C4—431no—
543C22×C4—431no—
544C22×C4—431no—
545C22×C4—431no—
546C22×C4—431no—
547C22×C4—431no—
548C22×C4—431no—
549C22×C4—431no—
550C22×C4—431no—
551C22×C4—431no—
552C22×C4—431no—
553C22×C4—431no—
554C22×C4—431no—
555C22×C4—431no—
556C22×C4—431no—
557C22×C4—432no—
558C22×C4—432no—
559C22×C4—861no—
560C22×C4—861no—
561C22×C4—861no—
562C22×C4—861no—
563C22×C4—1722no—
564C22×C4—1722no—
565C22×C4C2×C4×D4311yescharacteristic
566C22×C4C2×C4×D4312yes—
567C22×C4C2×C4×D4311yescharacteristic
568C22×C4C23×D4311yescharacteristic
569M16—22no—
570M16—22no—
571M16—22no—
572M16—22no—
573M16—862no—
574M16—862no—
575M16—862no—
576M16—862no—
577M16—1724no—
578C2×C8—22no—
579C2×C8—22no—
580C2×C8—862no—
581C2×C8—862no—
582C2×C8—1724no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—862no—
586C4⋊C4—862no—
587C4⋊C4—862no—
588C4⋊C4—862no—
589C4⋊C4—862no—
590C4⋊C4—862no—
591C4⋊C4—862no—
592C4⋊C4—862no—
593C4⋊C4—861no—
594C4⋊C4—861no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—862no—
598C22⋊C4—862no—
599C22⋊C4—862no—
600C22⋊C4—862no—
601C22⋊C4—862no—
602C22⋊C4—862no—
603C22⋊C4—862no—
604C22⋊C4—862no—
605C42—431no—
606C42—431no—
607C42—431no—
608C42—431no—
609C42—431no—
610C42—431no—
611C42—431no—
612C42—431no—
613C42—431no—
614C42—431no—
615C42—431no—
616C42—431no—
617C42—862no—
618C42—862no—
619C42D4×D4311yescharacteristic
620C42D4×D4311yescharacteristic
621C42D4×D4311yescharacteristic
622C42D4×D4311yescharacteristic
623C23—22no—
624C23—22no—
625C23—22no—
626C23—42no—
627C23—42no—
628C23—431no—
629C23—431no—
630C23—862no—
631C23—861no—
632C23—861no—
633C23—1721no—
634C23C22×C4×D4311yescharacteristic
635Q8—1721no—
636Q8—1721no—
637Q8—1721no—
638Q8—1721no—
639D4—41no—
640D4—41no—
641D4—41no—
642D4—41no—
643D4—1724no—
644D4—1724no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—41no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—42no—
651C2×C4—431no—
652C2×C4—431no—
653C2×C4—431no—
654C2×C4—431no—
655C2×C4—431no—
656C2×C4—431no—
657C2×C4—862no—
658C2×C4—862no—
659C2×C4—861no—
660C2×C4—861no—
661C2×C4—862no—
662C2×C4—862no—
663C2×C4—861no—
664C2×C4—861no—
665C2×C4—861no—
666C2×C4—861no—
667C2×C4—861no—
668C2×C4—861no—
669C2×C4—861no—
670C2×C4—861no—
671C2×C4—862no—
672C2×C4—862no—
673C2×C4—862no—
674C2×C4—862no—
675C2×C4—1721no—
676C2×C4—1721no—
677C2×C4—1721no—
678C2×C4—1721no—
679C2×C4—1721no—
680C2×C4—1721no—
681C2×C4—1722no—
682C2×C4C22⋊C4×D4311yescharacteristic
683C2×C4C22⋊C4×D4311yescharacteristic
684C2×C4C22⋊C4×D4311yescharacteristic
685C2×C4C22⋊C4×D4311yescharacteristic
686C2×C4C2×D4×D4311yescharacteristic
687C2×C4C2×D4×D4311yescharacteristic
688C2×C4#1306337011yescharacteristic
689C2×C4#1306337111yescharacteristic
690C2×C4#1306337211yescharacteristic
691C2×C4#1306337311yescharacteristic
692C8—42no—
693C8—42no—
694C8—1722no—
695C8—1722no—
696C22—21no—
697C22—21no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—82no—
702C22—82no—
703C22—432no—
704C22—861no—
705C22—861no—
706C22—861no—
707C22—861no—
708C22—861no—
709C22—1722no—
710C22—1722no—
711C22C2×C22⋊C4×D4311yescharacteristic
712C22#1458337911yescharacteristic
713C22#1458338011yescharacteristic
714C4—21no—
715C4—21no—
716C4—21no—
717C4—42no—
718C4—861no—
719C4—861no—
720C4—861no—
721C4—861no—
722C4—861no—
723C4—861no—
724C4—1722no—
725C4—1722no—
726C4#1458288012yes—
727C4#1458346511yescharacteristic
728C4#1458347211yescharacteristic
729C4#1458347811yescharacteristic
730C4#1458347911yescharacteristic
731C2—21no—
732C2—21no—
733C2—82no—
734C2—862no—
735C2—1721no—
736C2#1913718411yescharacteristic
737C2#413×D4311yescharacteristic
738C2C2×#1458288011yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC23×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1800C2
socleC22×C43C22×C22⋊C4
prime radicalC2×#13063296C22
cosocleC22×C4×C43C24
hypercenter#1800D43
hypocenterC43#21880
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1800

Complements

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

NH ≅ G/Ntype
2. #19143227C2semidirect
3. #423×D43C2semidirect
4. #19135586C2semidirect
5. #19135441C2semidirect
6. #19135062C2semidirect
8. #19134588C2semidirect
9. #19134588C2semidirect
10. #19134587C2semidirect
11. C43×#1800C2semidirect
372. #1800D43semidirect
424. C43#21880semidirect

Maximal subgroups

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

subgroupindex
C2×#145834312
#191432272
#423×D432
#191355862
#191354412
#191350622
#191350552
#191345882
#191345872
C43×#18002
#2188043