Finite Group Databasebeta

← #25107949

Subgroups — #25107949

Order 11008.

968 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583061C211yesmaximal, characteristic
2#19137273C211yesmaximal, characteristic, complemented
3#19137187C211yesmaximal, characteristic
4#19135477C211yesmaximal, characteristic, complemented
5#19135453C211yesmaximal, characteristic, complemented
6#19135282C211yesmaximal, characteristic, complemented
7#19135275C211yesmaximal, characteristic, complemented
8#19135239C211yesmaximal, characteristic, complemented
9#19135218C211yesmaximal, characteristic, complemented
10#19134947C211yesmaximal, characteristic, complemented
11#19134933C211yesmaximal, characteristic, complemented
12#19134900C211yesmaximal, characteristic, complemented
13#19134782C211yesmaximal, characteristic, complemented
14#19134363C211yesmaximal, characteristic, complemented
15C43×#1788C211yesmaximal, characteristic
16C22×#10621885C2211yescharacteristic
17C22×#10621883C2211yescharacteristic
18C2×#13063304C2211yescharacteristic
19C2×#13063290C2211yescharacteristic
20C2×#13063284C2211yescharacteristic
21C22×C4⋊Dic43C2211yescharacteristic
22#14583061C418yescomplemented
23C2×#13063258C2211yescharacteristic
24C2×#13063258C2211yescharacteristic
25C2×#13063250C2211yescharacteristic
26C2×#13063250C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×C22⋊(C43⋊C8)C2211yescharacteristic
30C2×#13063235C2211yescharacteristic
31C2×C8×Dic43C2211yescharacteristic
32#14582806C2211yescharacteristic
33#14582806C2211yescharacteristic
34#14582804C2211yescharacteristic
35#14582802C2211yescharacteristic
36#14582802C2211yescharacteristic
37#14582796—21no—
38#14582795C2211yescharacteristic
39#14582793—21no—
40#14582787—21no—
41#14582786—21no—
42#14582779—21no—
43#14582779—21no—
44#14582759—21no—
45#14582759—21no—
46C4⋊C4×Dic43C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C22×#41×C43C2211yescharacteristic
54C2×#103×C43C2211yescharacteristic
55C2×#103×C43C2211yescharacteristic
56C2×#102×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×C22⋊C8×C43C2211yescharacteristic
59C43×#380C2211yescharacteristic
60C22×Dic86C2311yescharacteristic
61C23×Dic43—21no—
62C2×#10621885—41no—
63C2×#10621885—41no—
64C2×#10621885C2×C414yescomplemented
65C2×#10621883—41no—
66C2×#10621883—41no—
67C2×#10621883C2×C414yescomplemented
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70#13063304—22no—
71#13063304C2×C414yes—
72#13063290—41no—
73#13063290—41no—
74#13063284—41no—
75#13063284—41no—
76C2×C4⋊Dic43—21no—
77C2×C4⋊Dic43—41no—
78C2×C4⋊Dic43—41no—
79C2×C4⋊Dic43D411yescharacteristic
80C2×C4⋊Dic43D411yescharacteristic
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×Dic43⋊C4—21no—
85C2×Dic43⋊C4—21no—
86C2×Dic43⋊C4—21no—
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×C22⋊Dic43—21no—
91C2×C22⋊Dic43—21no—
92C2×C22⋊Dic43D411yescharacteristic
93C2×C22⋊Dic43D411yescharacteristic
94C2×C4×Dic43—21no—
95C2×C4×Dic43—21no—
96C2×C4×Dic43C2311yescharacteristic
97C2×C4×Dic43C2311yescharacteristic
98#13063258—41no—
99#13063258—41no—
100#13063250—41no—
101#13063250—41no—
102#13063249C2×C414yescomplemented
103#13063246C2×C414yescomplemented
104C22⋊(C43⋊C8)C2×C414yes—
105#13063235—41no—
106C8×Dic43—41no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C2×#41×C43—22no—
116C2×#41×C43—41no—
117C2×#41×C43—41no—
118C2×#41×C43—41no—
119C2×#41×C43—41no—
120C2×#41×C43C2×C414yes—
121C22×Q8×C43C2311yescharacteristic
122C22×D4×C43—21no—
123C22×D4×C43C2311yescharacteristic
124C23×C4×C43—21no—
125C23×C4×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C22⋊C4×C43—21no—
131#103×C43—41no—
132#103×C43—41no—
133#102×C43—41no—
134#102×C43—41no—
135C22⋊C8×C43—22no—
136#95×C43—21no—
137C24×C43—21no—
138C24×C43C2×D411yescharacteristic
139#41×C43—44no—
140#41×C43—44no—
141#41×C43—44no—
142#41×C43—44no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43C22×C412yes—
149C2×D4×C43—21no—
150C2×D4×C43—24no—
151C2×D4×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—42no—
156C2×D4×C43—42no—
157C2×D4×C43C22×C412yes—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—21no—
161C22×C4×C43—21no—
162C22×C4×C43—24no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—42no—
167C22×C4×C43—42no—
168C22×C4×C43C22×C412yes—
169C22×C4×C43C2×D411yescharacteristic
170C22×C4×C43#4112yes—
171C22×C4×C43C2411yescharacteristic
172C22×Dic43—21no—
173C22×Dic43—21no—
174C22×Dic43—21no—
175C22×Dic43—21no—
176C22×Dic43—42no—
177C22×Dic43—81no—
178C22×Dic43—81no—
179C22×Dic43C2×D411yescharacteristic
180C22×Dic43C2×D411yescharacteristic
181C22×Dic43C2×D411yescharacteristic
182C22×Dic43C2×D411yescharacteristic
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86C22×C412yes—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C22⋊C4×C43—81no—
200C22⋊Dic43—24no—
201C22⋊Dic43—41no—
202C22⋊Dic43—41no—
203C22⋊Dic43—81no—
204C22⋊Dic43—81no—
205C22⋊Dic43—81no—
206C22⋊Dic43—81no—
207#10621885—44no—
208#10621883—44no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—41no—
215C4⋊Dic43—41no—
216C4⋊Dic43—42no—
217C4⋊Dic43C22×C412yes—
218Dic43⋊C4—24no—
219Dic43⋊C4—42no—
220Dic43⋊C4—81no—
221C4×Dic43—21no—
222C4×Dic43—21no—
223C4×Dic43—21no—
224C4×Dic43—21no—
225C4×Dic43—42no—
226C4×Dic43—81no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8C22×C412yes—
232C2×C43⋊C8C22×C412yes—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—22no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43C4×D412yes—
247C23×C43C22×D411yescharacteristic
248Q8×C43—22no—
249Q8×C43—22no—
250Q8×C43—41no—
251Q8×C43—41no—
252D4×C43—22no—
253D4×C43—22no—
254D4×C43—48no—
255D4×C43—41no—
256D4×C43—41no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—48no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43C4×D412yes—
274C2×C4×C43C23×C411yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×C4×C43H(5,𝔽2)11yescharacteristic
277C2×C4×C43H(5,𝔽2)11yescharacteristic
278C2×C4×C43H(5,𝔽2)11yescharacteristic
279C2×C4×C43H(5,𝔽2)11yescharacteristic
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—84no—
305Dic86—22no—
306Dic86—22no—
307Dic86—41no—
308Dic86—41no—
309C8×C43—41no—
310C8×C43—41no—
311C43⋊C8—22no—
312C43⋊C8—22no—
313#22057—431nomaximal, Sylow
314C22×C43—22no—
315C22×C43—22no—
316C22×C43—22no—
317C22×C43—41no—
318C22×C43—41no—
319C22×C43—41no—
320C22×C43—41no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—42no—
324C22×C43—81no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43—81no—
328C22×C43C2×C4×D411yescharacteristic
329C22×C43#53411yescharacteristic
330C22×C43#53511yescharacteristic
331C22×C43#57611yescharacteristic
332C22×C43#57711yescharacteristic
333C22×C43#57811yescharacteristic
334C22×C43#57811yescharacteristic
335C4×C43—22no—
336C4×C43—42no—
337C4×C43—81no—
338C4×C43—81no—
339C4×C43#51811yescharacteristic
340C4×C43#51811yescharacteristic
341C4×C43#53811yescharacteristic
342C4×C43#53811yescharacteristic
343Dic43—42no—
344Dic43—41no—
345Dic43—41no—
346Dic43—41no—
347Dic43—41no—
348Dic43—42no—
349Dic43—81no—
350Dic43—81no—
351C2×#452—431no—
352#2323—431no—
353#2311—431no—
354#1973—431no—
355#1969—431no—
356#1935—431no—
357#1934—431no—
358#1928—431no—
359#1925—431no—
360#1880—431no—
361#1878—431no—
362#1872—431no—
363#1852—431no—
364#1788D4311yescharacteristic
365#1750—431no—
366C2×C43—42no—
367C2×C43—82no—
368C2×C43#232111yescharacteristic
369C2×C43#294711yescharacteristic
370C2×C43#295111yescharacteristic
371C2×C43#320111yescharacteristic
372C2×C43#320311yescharacteristic
373C2×C43#322311yescharacteristic
374C2×C43#322411yescharacteristic
375C22×#41C2×D4311yescharacteristic
376C22×Q16—431no—
377C22×SD16—431no—
378C2×C22⋊Q8—431no—
379C2×C4×Q8—431no—
380C2×#117—431no—
381C22×C4⋊C4—431no—
382#452—438no—
383C2×#107—431no—
384C2×#107—431no—
385C2×#103—431no—
386C2×#103—431no—
387C2×#103—431no—
388C2×#103C2×D4311yescharacteristic
389C2×#103C2×D4311yescharacteristic
390C2×#102—431no—
391C2×#102C2×D4311yescharacteristic
392C2×#102C2×D4311yescharacteristic
393C2×C22⋊C8—431no—
394C2×C22⋊C8C2×D4311yescharacteristic
395C2×#97—431no—
396C2×C4×C8—431no—
397#391—431no—
398#391—431no—
399#391—431no—
400#390—431no—
401#390—431no—
402#389—431no—
403#389—861no—
404#388—861no—
405#388—861no—
406#387—861no—
407#386—861no—
408#386—861no—
409#380—861no—
410#380—861no—
411#380C2×D4311yescharacteristic
412C4×C4⋊C4—431no—
413#340—431no—
414#340—431no—
415#340—431no—
416#340—431no—
417#336—431no—
418#336—431no—
419C43#2205711yescharacteristic, complemented, Sylow
420C2×#41—22no—
421C2×#41—41no—
422C2×#41—41no—
423C2×#41—41no—
424C2×#41—41no—
425C2×#41C4×D4314yes—
426C22×Q8—431no—
427C22×Q8C22×D4311yescharacteristic
428C22×D4—21no—
429C22×D4C22×D4311yescharacteristic
430C23×C4—21no—
431C23×C4—861no—
432C23×C4C22×D4311yescharacteristic
433C2×Q16—434no—
434C2×Q16—1721no—
435C2×Q16—1721no—
436C2×SD16—434no—
437C2×SD16—1721no—
438C2×SD16—1721no—
439C22×C8—431no—
440C22×C8—431no—
441C22×C8C22×D4311yescharacteristic
442C22×C8C22×D4311yescharacteristic
443C22⋊Q8—434no—
444C22⋊Q8—862no—
445C4×Q8—1721no—
446C4×Q8—1721no—
447#117—1721no—
448#117—1721no—
449C2×C4⋊C4—431no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—861no—
455C2×C4⋊C4—861no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—1721no—
459C2×C4⋊C4—1721no—
460C2×C4⋊C4C22×D4311yescharacteristic
461C2×C4⋊C4C22×D4311yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—431no—
464C2×C22⋊C4—431no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C22⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C42—431no—
471C2×C42—431no—
472C2×C42—861no—
473C2×C42—861no—
474#107—1721no—
475#107—1721no—
476#103—41no—
477#103—41no—
478#103—434no—
479#103—1721no—
480#103—1721no—
481#102—41no—
482#102—41no—
483#102—434no—
484C22⋊C8—22no—
485C22⋊C8—434no—
486#97—1721no—
487C4×C8—1721no—
488#95—21no—
489#95—861no—
490#95—861no—
491#95—861no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95—861no—
497C24—21no—
498C24D4×D4311yescharacteristic
499#41—44no—
500#41—44no—
501#41—44no—
502#41—44no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—432no—
509C2×Q8—861no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8C2×C4×D4312yes—
515C2×D4—24no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4C2×C4×D4312yes—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—24no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—431no—
535C22×C4—431no—
536C22×C4—431no—
537C22×C4—431no—
538C22×C4—861no—
539C22×C4—861no—
540C22×C4—861no—
541C22×C4—861no—
542C22×C4—3441no—
543C22×C4—3441no—
544C22×C4—1722no—
545C22×C4C2×C4×D4312yes—
546C22×C4D4×D4311yescharacteristic
547C22×C4#1062190012yes—
548C22×C4C23×D4311yescharacteristic
549Q16—1724no—
550SD16—1724no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—432no—
558C2×C8—432no—
559C2×C8—861no—
560C2×C8—861no—
561C2×C8—861no—
562C2×C8—861no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—432no—
568C4⋊C4—864no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—3441no—
575C4⋊C4—1721no—
576C4⋊C4—1721no—
577C4⋊C4—1722no—
578C4⋊C4—1722no—
579C22⋊C4—81no—
580C22⋊C4—864no—
581C22⋊C4—3441no—
582C22⋊C4—3441no—
583C22⋊C4—3441no—
584C22⋊C4—3441no—
585C22⋊C4—1721no—
586C22⋊C4—1721no—
587C42—861no—
588C42—861no—
589C42—861no—
590C42—861no—
591C42—3441no—
592C42—1722no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—22no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23(C22⋊D43)⋊C412yes—
607C23C2×D4×D4311yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—41no—
611Q8—41no—
612Q8—862no—
613Q8—862no—
614Q8—1721no—
615Q8—1721no—
616D4—22no—
617D4—22no—
618D4—48no—
619D4—41no—
620D4—41no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—48no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—861no—
640C2×C4—861no—
641C2×C4—861no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—861no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—3444no—
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(C22⋊D43)⋊C412yes—
663C2×C4C22×C4×D4311yescharacteristic
664C2×C4C2×#1062190011yescharacteristic
665C2×C4#1306337011yescharacteristic
666C2×C4#1306337011yescharacteristic
667C2×C4#1306337011yescharacteristic
668C2×C4#1306337011yescharacteristic
669C8—41no—
670C8—41no—
671C8—862no—
672C8—862no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22C2×(C22⋊D43)⋊C411yescharacteristic
688C22#1458345911yescharacteristic
689C22#1458346411yescharacteristic
690C22#1458370311yescharacteristic
691C22#1458370611yescharacteristic
692C22#1458371311yescharacteristic
693C22#1458371511yescharacteristic
694C4—22no—
695C4—42no—
696C4—81no—
697C4—81no—
698C4—3441no—
699C4—3441no—
700C4—1721no—
701C4—1721no—
702C4—1721no—
703C4—1721no—
704C4—1722no—
705C4—1722no—
706C4#1458337211yescharacteristic
707C4#1458337211yescharacteristic
708C4#1458348411yescharacteristic
709C4#1458348411yescharacteristic
710C2—42no—
711C2—82no—
712C2#1913725011yescharacteristic
713C2#1914344111yescharacteristic
714C2#1914346611yescharacteristic
715C2#1914547411yescharacteristic
716C2#1914549411yescharacteristic
717C2#1914567611yescharacteristic
718C2#1914568711yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1788C2
socleC23×C43C22×D4
prime radicalC22×#41×C43C22
cosocleC22×C4×C43C24
hypercenter#1788D43
hypocenterC43#22057
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1788

Complements

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

NH ≅ G/Ntype
2. #19137273C2semidirect
4. #19135477C2semidirect
5. #19135453C2semidirect
6. #19135282C2semidirect
7. #19135275C2semidirect
8. #19135239C2semidirect
9. #19135218C2semidirect
10. #19134947C2semidirect
11. #19134933C2semidirect
12. #19134900C2semidirect
13. #19134782C2semidirect
14. #19134363C2semidirect
22. #14583061C4semidirect
64. C2×#10621885C2×C4semidirect
67. C2×#10621883C2×C4semidirect
102. #13063249C2×C4semidirect
103. #13063246C2×C4semidirect
419. C43#22057semidirect

Maximal subgroups

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

subgroupindex
C2×#145830612
#191372732
#191371872
#191354772
#191354532
#191352822
#191352752
#191352392
#191352182
#191349472
#191349332
#191349002
#191347822
#191343632
C43×#17882
#2205743