Finite Group Databasebeta

← #25107828

Subgroups — #25107828

Order 11008.

1000 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583063C211yesmaximal, characteristic
2C4×#13063304C211yesmaximal, characteristic, complemented
3#19137085C211yesmaximal, characteristic
4#19135476C211yesmaximal, characteristic, complemented
5#19135466C211yesmaximal, characteristic, complemented
6#19135292C211yesmaximal, characteristic, complemented
7#19135285C211yesmaximal, characteristic, complemented
8#19135237C211yesmaximal, characteristic, complemented
9#19135223C211yesmaximal, characteristic, complemented
10#19134949C211yesmaximal, characteristic, complemented
11#19134935C211yesmaximal, characteristic, complemented
12#19134905C211yesmaximal, characteristic, complemented
13#19134796C211yesmaximal, characteristic, complemented
14#19134536C211yesmaximal, characteristic
15C43×#1749C211yesmaximal, characteristic, complemented
16C22×#10621898C2211yescharacteristic
17C22×Dic172C2211yescharacteristic
18C22×#10621873C2211yescharacteristic
19C2×#13063304C2211yescharacteristic
20C2×C4×Dic86C2211yescharacteristic
21C2×#13063284C2211yescharacteristic
22#14583063C418yescomplemented
23C2×#13063259C2211yescharacteristic
24C2×#13063257C2211yescharacteristic
25C2×#13063250C2211yescharacteristic
26C2×#13063250C2211yescharacteristic
27C2×#13063250C2211yescharacteristic
28C2×#13063250C2211yescharacteristic
29C2×#13063250C2211yescharacteristic
30C2×#13063247C2211yescharacteristic
31C2×#13063247C2211yescharacteristic
32C2×#13063247C2211yescharacteristic
33#14582805C2211yescharacteristic
34#14582805C2211yescharacteristic
35#14582805C2211yescharacteristic
36#14582801C2211yescharacteristic
37#14582801C2211yescharacteristic
38#14582797C2211yescharacteristic
39#14582783—21no—
40#14582778—21no—
41#14582778—21no—
42#14582772—21no—
43#14582759C2211yescharacteristic
44C4×Dic43⋊C4—21no—
45C4×C4⋊Dic43C2211yescharacteristic
46C4×(C2×D43)⋊C4—21no—
47C4×(C2×D43)⋊C4—21no—
48C4×C22⋊Dic43—21no—
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53C22×C42×C43C2211yescharacteristic
54C2×C22⋊C8×C43C2211yescharacteristic
55C2×C22⋊C8×C43C2211yescharacteristic
56C2×#97×C43C2211yescharacteristic
57C2×#97×C43C2211yescharacteristic
58C43×#336C2211yescharacteristic
59C43×#336C2211yescharacteristic
60C2×#10621898—22no—
61C2×#10621898—41no—
62C2×#10621898—41no—
63C2×#10621898—41no—
64C2×#10621898—41no—
65C2×#10621898C2×C414yes—
66C22×Dic86C2311yescharacteristic
67C22×Dic86C2311yescharacteristic
68C22×D172C2311yescharacteristic
69C22×C22⋊D43—21no—
70C22×C4×D43—21no—
71C2×Dic172—41no—
72C2×Dic172—41no—
73C2×Dic172C2×C414yescomplemented
74C2×#10621873—41no—
75C2×#10621873—41no—
76C2×#10621873C2×C414yescomplemented
77#13063304—22no—
78#13063304C2×C414yes—
79C4×Dic86—41no—
80C4×Dic86—41no—
81#13063284—41no—
82#13063284—41no—
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C4⋊Dic43C2311yescharacteristic
85C2×C4⋊Dic43C2311yescharacteristic
86C2×C4⋊Dic43C2311yescharacteristic
87C2×C4⋊Dic43C2311yescharacteristic
88C2×Dic43⋊C4—21no—
89C2×Dic43⋊C4—21no—
90C2×Dic43⋊C4—21no—
91C2×C22⋊Dic43—21no—
92C2×C22⋊Dic43—21no—
93C2×C22⋊Dic43—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×C4×Dic43—21no—
99C2×C4×Dic43—21no—
100C2×C4×Dic43—21no—
101#13063259—41no—
102#13063257—41no—
103#13063250—41no—
104#13063250—41no—
105#13063250—41no—
106#13063250—41no—
107#13063250C2×C414yescomplemented
108#13063247—41no—
109#13063247—41no—
110#13063247C2×C414yescomplemented
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C23×C4×C43D411yescharacteristic
121C23×C4×C43D411yescharacteristic
122C23×C4×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C2×C42×C43—41no—
128C2×C42×C43—41no—
129C2×C42×C43D411yescharacteristic
130C2×C42×C43D411yescharacteristic
131C2×C42×C43C2311yescharacteristic
132C2×C42×C43C2311yescharacteristic
133C22⋊C8×C43—22no—
134C22⋊C8×C43C2×C414yes—
135#97×C43—41no—
136#97×C43—41no—
137C24×C43C2×D411yescharacteristic
138C23×D43—21no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—22no—
144C22×C4×C43—41no—
145C22×C4×C43—41no—
146C22×C4×C43—41no—
147C22×C4×C43—41no—
148C22×C4×C43—41no—
149C22×C4×C43C22×C412yes—
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43#4112yes—
156C22×C4×C43C2411yescharacteristic
157C2×C22⋊D43—24no—
158C2×C22⋊D43—42no—
159C2×C22⋊D43—42no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167#10621898—44no—
168#10621898—44no—
169#10621898—44no—
170#10621898—44no—
171C2×D172—21no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—21no—
176C2×D172C22×C412yes—
177C2×C4×D43—24no—
178C2×C4×D43—42no—
179C2×C4×D43—42no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86C22×C412yes—
191C2×Dic86C22×C412yes—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C2×C8×C43C22×C412yes—
203C2×C8×C43C22×C412yes—
204C42×C43—21no—
205C42×C43—21no—
206C42×C43—21no—
207C42×C43—21no—
208C42×C43—41no—
209C42×C43—41no—
210C22⋊Dic43—24no—
211C22⋊Dic43—42no—
212C22⋊Dic43—42no—
213(C2×D43)⋊C4—42no—
214(C2×D43)⋊C4—42no—
215(C2×D43)⋊C4—42no—
216(C2×D43)⋊C4—42no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43—21no—
226C4⋊Dic43C22×C412yes—
227Dic43⋊C4—24no—
228Dic43⋊C4—42no—
229Dic43⋊C4—42no—
230C4×Dic43—42no—
231C4×Dic43—42no—
232C4×Dic43—42no—
233Dic172—44no—
234#10621873—44no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43C4×D412yes—
242C23×C43C22×D411yescharacteristic
243C22×D43—22no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248C22×D43—41no—
249C22×D43—41no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—44no—
268C2×C4×C43—44no—
269C2×C4×C43C4×D412yes—
270C2×C4×C43#13712yes—
271C2×C4×C43C23×C411yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×C4×C43H(5,𝔽2)11yescharacteristic
274C2×C4×C43H(5,𝔽2)11yescharacteristic
275C2×C4×C43H(5,𝔽2)11yescharacteristic
276C2×C4×C43H(5,𝔽2)11yescharacteristic
277C22⋊D43—48no—
278C2×Dic43—22no—
279C2×Dic43—22no—
280C2×Dic43—22no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299D172—22no—
300D172—22no—
301D172—41no—
302D172—41no—
303C4×D43—48no—
304Dic86—22no—
305Dic86—22no—
306Dic86—22no—
307Dic86—22no—
308Dic86—41no—
309Dic86—41no—
310Dic86—41no—
311Dic86—41no—
312C8×C43—22no—
313C8×C43—22no—
314C8×C43—41no—
315C8×C43—41no—
316#22048—431nomaximal, Sylow
317C22×C43—22no—
318C22×C43—22no—
319C22×C43—22no—
320C22×C43—41no—
321C22×C43—41no—
322C22×C43—41no—
323C22×C43—41no—
324C22×C43C2×C4×D411yescharacteristic
325C22×C43#53411yescharacteristic
326C22×C43#53511yescharacteristic
327C22×C43C2×#13711yescharacteristic
328C22×C43#57511yescharacteristic
329C22×C43#57511yescharacteristic
330C22×C43#57511yescharacteristic
331C2×D43—42no—
332C2×D43—42no—
333C2×D43—42no—
334C2×D43—81no—
335C2×D43—81no—
336C2×D43—81no—
337C2×D43—81no—
338C4×C43—22no—
339C4×C43—22no—
340C4×C43—41no—
341C4×C43—41no—
342C4×C43—41no—
343C4×C43#51811yescharacteristic
344C4×C43#51811yescharacteristic
345C4×C43#53811yescharacteristic
346C4×C43#53811yescharacteristic
347Dic43—42no—
348Dic43—42no—
349Dic43—42no—
350Dic43—81no—
351Dic43—81no—
352Dic43—81no—
353Dic43—81no—
354C2×#452—431no—
355C4×C22⋊Q8—431no—
356#2297—431no—
357#1973—431no—
358#1971—431no—
359#1936—431no—
360#1935—431no—
361#1928—431no—
362#1926—431no—
363#1880—431no—
364#1878—431no—
365#1873—431no—
366#1854—431no—
367#1788—431no—
368#1749D4311yescharacteristic, complemented
369C2×C43—42no—
370C2×C43#232111yescharacteristic
371C2×C43#294311yescharacteristic
372C2×C43C4×#13711yescharacteristic
373C2×C43#319611yescharacteristic
374C2×C43#319711yescharacteristic
375C2×C43#321611yescharacteristic
376C2×C43#321911yescharacteristic
377D43—82no—
378C22×#41—431no—
379C22×Q16—431no—
380C22×SD16—431no—
381C2×C22⋊Q8—431no—
382C2×C4×Q8—431no—
383C2×#117—431no—
384C22×C42C2×D4311yescharacteristic
385#452—438no—
386C2×#107—431no—
387C2×#106—431no—
388C2×#103—431no—
389C2×#103—431no—
390C2×#103—431no—
391C2×#103—431no—
392C2×#103—431no—
393C2×#102—431no—
394C2×#102—431no—
395C2×#102—431no—
396C2×C22⋊C8C2×D4311yescharacteristic
397C2×C22⋊C8C2×D4311yescharacteristic
398C2×#97C2×D4311yescharacteristic
399C2×#97C2×D4311yescharacteristic
400#391—431no—
401#391—431no—
402#391—431no—
403#390—431no—
404#390—431no—
405#389—431no—
406#387—861no—
407#386—861no—
408#386—861no—
409#385—861no—
410#380—431no—
411C4×C4⋊C4—431no—
412C4×C4⋊C4—861no—
413C4×C22⋊C4—861no—
414C4×C22⋊C4—861no—
415C4×C22⋊C4—861no—
416#340—431no—
417#340—431no—
418#340—431no—
419#340—431no—
420#336C2×D4311yescharacteristic
421#336C2×D4311yescharacteristic
422C43#2204811yescharacteristic, complemented, Sylow
423C2×#41—434no—
424C2×#41—862no—
425C2×#41—1721no—
426C2×#41—1721no—
427C2×#41—1721no—
428C2×#41—1721no—
429C22×Q8—431no—
430C22×Q8—431no—
431C22×D4—431no—
432C22×D4—861no—
433C23×C4—861no—
434C23×C4D17211yescharacteristic
435C23×C4D17211yescharacteristic
436C23×C4C22×D4311yescharacteristic
437C2×Q16—434no—
438C2×Q16—1721no—
439C2×Q16—1721no—
440C2×SD16—434no—
441C2×SD16—1721no—
442C2×SD16—1721no—
443C22×C8C22×D4311yescharacteristic
444C22×C8C22×D4311yescharacteristic
445C22×C8C22×D4311yescharacteristic
446C22×C8C22×D4311yescharacteristic
447C22⋊Q8—434no—
448C22⋊Q8—862no—
449C4×Q8—1721no—
450C4×Q8—1721no—
451#117—1721no—
452#117—1721no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C42—41no—
469C2×C42—41no—
470C2×C42—861no—
471C2×C42—861no—
472C2×C42—861no—
473C2×C42D17211yescharacteristic
474C2×C42D17211yescharacteristic
475C2×C42C22×D4311yescharacteristic
476C2×C42C22×D4311yescharacteristic
477#107—1721no—
478#106—1721no—
479#103—434no—
480#103—1721no—
481#103—1721no—
482#103—1721no—
483#103—1721no—
484#102—434no—
485#102—1721no—
486#102—1721no—
487C22⋊C8—22no—
488C22⋊C8C4×D4314yes—
489#97—41no—
490#97—41no—
491#95—861no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95—861no—
497#95—861no—
498#95—861no—
499#95—861no—
500C24—861no—
501C24C2×D17211yescharacteristic
502#41—1724no—
503#41—1724no—
504#41—1724no—
505#41—1724no—
506C2×Q8—432no—
507C2×Q8—432no—
508C2×Q8—861no—
509C2×Q8—861no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8—861no—
515C2×Q8—861no—
516C2×Q8—861no—
517C2×Q8—861no—
518C2×D4—432no—
519C2×D4—864no—
520C2×D4—861no—
521C2×D4—861no—
522C2×D4—861no—
523C2×D4—861no—
524C2×D4—861no—
525C2×D4—1722no—
526C2×D4—1722no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—22no—
532C22×C4—41no—
533C22×C4—41no—
534C22×C4—41no—
535C22×C4—41no—
536C22×C4—41no—
537C22×C4—861no—
538C22×C4—861no—
539C22×C4—861no—
540C22×C4—864no—
541C22×C4—861no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—861no—
545C22×C4—1722no—
546C22×C4—1722no—
547C22×C4C2×C4×D4312yes—
548C22×C4C2×D17211yescharacteristic
549C22×C4C2×D17211yescharacteristic
550C22×C4C2×D17211yescharacteristic
551C22×C4C2×D17211yescharacteristic
552C22×C4C2×D17211yescharacteristic
553C22×C4#1062189812yes—
554C22×C4C23×D4311yescharacteristic
555Q16—1724no—
556SD16—1724no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8C2×C4×D4312yes—
568C2×C8C2×C4×D4312yes—
569C4⋊C4—432no—
570C4⋊C4—864no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—861no—
580C4⋊C4—1722no—
581C4⋊C4—1722no—
582C22⋊C4—864no—
583C22⋊C4—1722no—
584C22⋊C4—1722no—
585C22⋊C4—1722no—
586C22⋊C4—1722no—
587C22⋊C4—1722no—
588C22⋊C4—1722no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—41no—
594C42—41no—
595C42—1722no—
596C42—1722no—
597C42—1722no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—862no—
605C23—1721no—
606C23—1721no—
607C23—1721no—
608C23—1721no—
609C23—1721no—
610C23—1721no—
611C23C4×D17212yes—
612C23C22×D17211yescharacteristic
613Q8—862no—
614Q8—862no—
615Q8—862no—
616Q8—862no—
617Q8—1721no—
618Q8—1721no—
619Q8—1721no—
620Q8—1721no—
621D4—862no—
622D4—862no—
623D4—1728no—
624D4—1721no—
625D4—1721no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—44no—
644C2×C4—44no—
645C2×C4—862no—
646C2×C4—862no—
647C2×C4—862no—
648C2×C4—1728no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4C4×D17212yes—
668C2×C4#1306335812yes—
669C2×C4C22×C4×D4311yescharacteristic
670C2×C4C2×#1062189811yescharacteristic
671C2×C4#1306337011yescharacteristic
672C2×C4#1306337011yescharacteristic
673C2×C4#1306337111yescharacteristic
674C2×C4#1306337111yescharacteristic
675C8—22no—
676C8—22no—
677C8—41no—
678C8—41no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—3441no—
687C22—3441no—
688C22—3441no—
689C22—3441no—
690C22—1722no—
691C22—1722no—
692C22—1722no—
693C22C2×C4×D17211yescharacteristic
694C22#1458346111yescharacteristic
695C22#1458346811yescharacteristic
696C22C2×#1306335811yescharacteristic
697C22#1458369911yescharacteristic
698C22#1458369911yescharacteristic
699C22#1458369911yescharacteristic
700C4—22no—
701C4—22no—
702C4—41no—
703C4—41no—
704C4—41no—
705C4—3441no—
706C4—3441no—
707C4—3441no—
708C4—3441no—
709C4—1722no—
710C4—1722no—
711C4—1722no—
712C4#1458337111yescharacteristic
713C4#1458337111yescharacteristic
714C4#1458348211yescharacteristic
715C4#1458348211yescharacteristic
716C2—42no—
717C2—3442no—
718C2#1913725511yescharacteristic
719C2#1914339711yescharacteristic
720C2C4×#1306335811yescharacteristic
721C2#1914542711yescharacteristic
722C2#1914543711yescharacteristic
723C2#1914560811yescharacteristic
724C2#1914563411yescharacteristic
subgroupG/H
centerC23C22×D172
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1749C2
socleC23×C43C22×D4
prime radicalC22×#10621898C22
cosocleC22×C4×C43C24
hypercenter#1749D43
hypocenterC43#22048
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C22×C42 ◁ #1749

Complements

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

NH ≅ G/Ntype
2. C4×#13063304C2semidirect
4. #19135476C2semidirect
5. #19135466C2semidirect
6. #19135292C2semidirect
7. #19135285C2semidirect
8. #19135237C2semidirect
9. #19135223C2semidirect
10. #19134949C2semidirect
11. #19134935C2semidirect
12. #19134905C2semidirect
13. #19134796C2semidirect
15. C43×#1749C2semidirect
22. #14583063C4semidirect
73. C2×Dic172C2×C4semidirect
76. C2×#10621873C2×C4semidirect
107. #13063250C2×C4semidirect
110. #13063247C2×C4semidirect
368. #1749D43semidirect
422. C43#22048semidirect

Maximal subgroups

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

subgroupindex
C2×#145830632
C4×#130633042
#191370852
#191354762
#191354662
#191352922
#191352852
#191352372
#191352232
#191349492
#191349352
#191349052
#191347962
#191345362
C43×#17492
#2204843