Finite Group Databasebeta

← #25113106

Subgroups — #25113106

Order 11008.

1126 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148153C211yesmaximal, characteristic
2D4×#10621877C211yesmaximal, characteristic, complemented
3#19135572C211yesmaximal, characteristic, complemented
4#19135538C211yesmaximal, characteristic, complemented
5#19135043C212yesmaximal, complemented
6#19134895C212yesmaximal, complemented
7#19134695C212yesmaximal, complemented
8#19134616C211yesmaximal, characteristic, complemented
9C4×#13063253C211yesmaximal, characteristic, complemented
10#19134305C212yesmaximal, complemented
11C43×#2293C211yesmaximal, characteristic, complemented
12C22×#10621877C2212yes—
13#14583619C411yescharacteristic, complemented
14#14583614C411yescharacteristic, complemented
15#14583606C411yescharacteristic, complemented
16#14583595C412yescomplemented
17#14583589C412yescomplemented
18#14583584—21no—
19#14583575—22no—
20#14583553C411yescharacteristic, complemented
21#14583543—21no—
22#14583456C2211yescharacteristic
23#14583431—21no—
24#14583429—22no—
25#14583410C2212yes—
26C4×#10621898C2211yescharacteristic
27C4×#10621900—21no—
28C2×#13063284C2212yes—
29#14582977—21no—
30#14582971—22no—
31D4×C43⋊C8—21no—
32#14582923C2211yescharacteristic
33C2×#13063253C2211yescharacteristic
34C2×#13063253C2211yescharacteristic
35C2×#13063253C2212yes—
36#14582863C2212yes—
37C4×#10621877C2211yescharacteristic
38#14582659C2212yes—
39#14582659C2212yes—
40#14582659C2212yes—
41#14582659C2212yes—
42#14582659C2211yescharacteristic
43#14582659C2212yes—
44#14582659C2211yescharacteristic
45C2×C4×D4×C43C2211yescharacteristic
46C2×#117×C43C2212yes—
47C43×#390—21no—
48C43×#389—21no—
49C43×#388—22no—
50C4×C4⋊C4×C43C2211yescharacteristic
51C4×C22⋊C4×C43C2212yes—
52C43×C43C2211yescharacteristic
53C2×#10621898C2311yescharacteristic
54C2×#10621900—21no—
55C2×#10621877—22no—
56C2×#10621877—24no—
57C2×#10621877—42no—
58C2×#10621877C2311yescharacteristic
59C2×#10621877C2312yes—
60C2×#10621877C2311yescharacteristic
61C22×C43⋊C8—22no—
62#13063325C2×C411yescharacteristic
63#13063325C2×C411yescharacteristic
64#13063320—22no—
65#13063318—22no—
66#13063318—22no—
67#13063317C2×C412yes—
68#13063316—21no—
69#13063315—22no—
70#13063312—21no—
71#13063311—22no—
72#13063309—22no—
73#13063308—22no—
74#13063307—22no—
75#13063306—22no—
76#13063305—21no—
77#13063304—21no—
78#13063304—21no—
79#13063304C2×C412yes—
80#13063304C2×C412yes—
81#13063302—22no—
82#13063299C2×C412yes—
83#13063299C2×C412yes—
84#13063297—22no—
85#13063296—21no—
86#13063294—22no—
87C4×Dic86—21no—
88C4×Dic86—21no—
89C4×Dic86C2×C411yescharacteristic
90C4×Dic86C2×C411yescharacteristic
91#13063290—21no—
92C4×D172C2×C411yescharacteristic
93C4×D172C2×C411yescharacteristic
94D4×Dic43—21no—
95C4×C22⋊D43—21no—
96C4×C22⋊D43—21no—
97C4×C22⋊D43—22no—
98C4×C22⋊D43—22no—
99(C22⋊D43)⋊C4—22no—
100#13063284—22no—
101#13063284—22no—
102#13063284C2×C412yes—
103#13063284C2×C412yes—
104#13063284C2311yescharacteristic
105#13063284C2312yes—
106#13063283—21no—
107#13063282—21no—
108#13063281—22no—
109C2×C4⋊Dic43C2×C412yes—
110C2×C4⋊Dic43C2×C412yes—
111C2×C22⋊Dic43—22no—
112C2×C4×Dic43—22no—
113C42×D43—21no—
114C4⋊(C43⋊C8)—21no—
115C4⋊(C43⋊C8)—21no—
116#13063253—22no—
117#13063253—22no—
118#13063253—42no—
119C22⋊(C43⋊C8)—22no—
120C22⋊(C43⋊C8)—22no—
121#13063236—21no—
122C4×C43⋊C8—21no—
123C22×D4×C43D411yescharacteristic
124C23×C4×C43C2312yes—
125C4×D4×C43C2×C411yescharacteristic
126C4×D4×C43C2×C412yes—
127C4×D4×C43C2×C411yescharacteristic
128C4×D4×C43D411yescharacteristic
129C4×D4×C43D412yes—
130C4×D4×C43D411yescharacteristic
131#117×C43—24no—
132#117×C43—42no—
133C2×C4⋊C4×C43—22no—
134C2×C4⋊C4×C43—21no—
135C2×C4⋊C4×C43D411yescharacteristic
136C2×C22⋊C4×C43—22no—
137C2×C22⋊C4×C43—22no—
138C2×C22⋊C4×C43D412yes—
139C2×C42×C43—21no—
140C2×C42×C43—21no—
141C2×C42×C43C2312yes—
142C2×C42×C43C2311yescharacteristic
143C2×C42×C43C2311yescharacteristic
144C2×C42×C43C2311yescharacteristic
145#95×C43—22no—
146#95×C43—21no—
147C24×C43C2×D412yes—
148C2×D4×C43—42no—
149C2×D4×C43C22⋊C411yescharacteristic
150C2×D4×C43C22⋊C411yescharacteristic
151C2×D4×C43C22⋊C412yes—
152C22×C4×C43—22no—
153C22×C4×C43—22no—
154C22×C4×C43—22no—
155C22×C4×C43—22no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—22no—
159C22×C4×C43C22×C412yes—
160C22×C4×C43C22×C412yes—
161C22×C4×C43C2×D412yes—
162C22×C4×C43C2×D412yes—
163C22×C4×C43C2×D412yes—
164C22×C4×C43C2×D411yescharacteristic
165C22×C4×C43C2×D411yescharacteristic
166C22×C4×C43C2411yescharacteristic
167C2×C22⋊D43—22no—
168C2×C22⋊D43—22no—
169C2×C22⋊D43—21no—
170C22×Dic43—22no—
171C22×Dic43—22no—
172#10621900—44no—
173#10621898—21no—
174#10621898—21no—
175#10621898—21no—
176#10621898—21no—
177C2×D172C22×C411yescharacteristic
178C2×C4×D43—21no—
179C2×C4×D43—21no—
180C2×C4×D43—21no—
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86C22×C411yescharacteristic
184C4⋊C4×C43—44no—
185C4⋊C4×C43—42no—
186C4⋊C4×C43C22⋊C411yescharacteristic
187C4⋊C4×C43C22⋊C411yescharacteristic
188C4⋊C4×C43C22⋊C412yes—
189C22⋊C4×C43—44no—
190C22⋊C4×C43—44no—
191C22⋊C4×C43C22⋊C412yes—
192C22⋊C4×C43C22⋊C412yes—
193C22⋊C4×C43C22⋊C412yes—
194C22⋊C4×C43C22⋊C412yes—
195C42×C43—21no—
196C42×C43—22no—
197C42×C43—21no—
198C42×C43—22no—
199C42×C43—21no—
200C42×C43—42no—
201C42×C43—42no—
202C42×C43C22×C411yescharacteristic
203C42×C43C22×C411yescharacteristic
204C42×C43C2×D411yescharacteristic
205C42×C43C2×D411yescharacteristic
206C42×C43#4112yescomplemented
207C22⋊Dic43—22no—
208C22⋊Dic43—22no—
209C22⋊Dic43—22no—
210C22⋊Dic43—22no—
211C22⋊Dic43—21no—
212C22⋊Dic43—22no—
213(C2×D43)⋊C4—21no—
214(C2×D43)⋊C4—21no—
215(C2×D43)⋊C4—22no—
216(C2×D43)⋊C4—22no—
217C4⋊Dic43—22no—
218C4⋊Dic43—22no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43C22×C411yescharacteristic
222C4⋊Dic43C22×C411yescharacteristic
223C4⋊Dic43C22×C412yes—
224C4⋊Dic43C22×C412yes—
225Dic43⋊C4—22no—
226Dic43⋊C4—22no—
227Dic43⋊C4—21no—
228Dic43⋊C4—21no—
229Dic43⋊C4—22no—
230Dic43⋊C4—22no—
231C4×Dic43—21no—
232C4×Dic43—21no—
233C4×Dic43—22no—
234C4×Dic43—22no—
235C4×Dic43—21no—
236C4×Dic43—22no—
237#10621877—21no—
238#10621877—21no—
239#10621877—22no—
240#10621877—22no—
241#10621877—21no—
242#10621877—44no—
243#10621877#4112yescomplemented
244C2×C43⋊C8—21no—
245C2×C43⋊C8—21no—
246C2×C43⋊C8—22no—
247C2×C43⋊C8—44no—
248C23×C43—22no—
249C23×C43—22no—
250C23×C43—42no—
251C23×C43—42no—
252C23×C43C2×C22⋊C412yes—
253C23×C43C2×C22⋊C412yes—
254C23×C43C22×D411yescharacteristic
255C22×D43—21no—
256D4×C43—22no—
257D4×C43—22no—
258D4×C43—42no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—22no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
269C2×C4×C43—22no—
270C2×C4×C43—22no—
271C2×C4×C43—22no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—42no—
278C2×C4×C43—42no—
279C2×C4×C43—42no—
280C2×C4×C43C2×C22⋊C412yes—
281C2×C4×C43C2×C22⋊C411yescharacteristic
282C2×C4×C43C2×C22⋊C411yescharacteristic
283C2×C4×C43C2×C22⋊C412yes—
284C2×C4×C43C2×C22⋊C411yescharacteristic
285C2×C4×C43C2×C22⋊C411yescharacteristic
286C2×C4×C43C23×C411yescharacteristic
287C2×C4×C43C22×D411yescharacteristic
288C2×C4×C43C2×#4111yescharacteristic
289C2×C4×C43C2×#4111yescharacteristic
290C2×C4×C43H(5,𝔽2)11yescharacteristic
291C2×C4×C432−1+411yescharacteristic
292C22⋊D43—44no—
293C22⋊D43—41no—
294C22⋊D43—41no—
295C22⋊D43—82no—
296C2×Dic43—21no—
297C2×Dic43—21no—
298C2×Dic43—21no—
299C2×Dic43—22no—
300C2×Dic43—22no—
301C2×Dic43—44no—
302C2×Dic43—82no—
303D172—21no—
304D172—21no—
305C4×D43—41no—
306C4×D43—41no—
307C4×D43—42no—
308C4×D43—81no—
309Dic86—21no—
310Dic86—21no—
311Dic86—42no—
312Dic86—81no—
313C43⋊C8—22no—
314C43⋊C8—42no—
315C43⋊C8—41no—
316#22507—431nomaximal, Sylow
317C22×C43—21no—
318C22×C43—21no—
319C22×C43—22no—
320C22×C43—22no—
321C22×C43—22no—
322C22×C43—22no—
323C22×C43—22no—
324C22×C43—22no—
325C22×C43—82no—
326C22×C43—82no—
327C22×C43C22×C22⋊C411yescharacteristic
328C22×C43#54611yescharacteristic
329C22×C43#54711yescharacteristic
330C2×D43—41no—
331C2×D43—41no—
332C2×D43—41no—
333C4×C43—22no—
334C4×C43—22no—
335C4×C43—21no—
336C4×C43—21no—
337C4×C43—21no—
338C4×C43—42no—
339C4×C43—42no—
340C4×C43—82no—
341C4×C43#42112yes—
342C4×C43C4×#4111yescharacteristic
343C4×C43#52011yescharacteristic
344C4×C43#54611yescharacteristic
345C4×C43#54711yescharacteristic
346Dic43—41no—
347Dic43—42no—
348Dic43—41no—
349Dic43—42no—
350Dic43—41no—
351#3475—431no—
352D4×M16—431no—
353#2293D4311yescharacteristic, complemented
354#1994—431no—
355#1986—431no—
356#1897—432no—
357#1871—432no—
358#1826—432no—
359#1806—431no—
360C4×#104—431no—
361#1733—432no—
362C2×C43—21no—
363C2×C43—21no—
364C2×C43—42no—
365C2×C43—42no—
366C2×C43#233911yescharacteristic
367C2×C43C2×#42111yescharacteristic
368C2×C43#290111yescharacteristic
369D43—81no—
370C22×M16—432no—
371#556—431no—
372#555—431no—
373#554—431no—
374#553—432no—
375#552—432no—
376#552—861no—
377#551—862no—
378#547—431no—
379#546—861no—
380#533—431no—
381#529—862no—
382#529—861no—
383#525—432no—
384C4×#41—431no—
385C4×#41—861no—
386C2×C4×D4C2×D4311yescharacteristic
387C2×#117—432no—
388C2×#117C2×D4312yes—
389#436—861no—
390#435—862no—
391C8×D4—861no—
392#423—431no—
393C2×#104—431no—
394C2×#104—431no—
395C2×#104—432no—
396#407—432no—
397C4×M16—431no—
398#390—21no—
399#389—21no—
400#388—22no—
401C4×C4⋊C4C2×D4311yescharacteristic
402C4×C22⋊C4C2×D4312yes—
403C43C2×D4311yescharacteristic
404#339—432no—
405#339—431no—
406#339—432no—
407#339—432no—
408#339—432no—
409#339—432no—
410#339—431no—
411C43#2250711yescharacteristic, complemented, Sylow
412C2×#41—431no—
413C2×#41—861no—
414C22×D4C22⋊D4311yescharacteristic
415C23×C4C22×D4312yes—
416C2×M16—431no—
417C2×M16—432no—
418C2×M16—431no—
419C2×M16—862no—
420C2×M16—864no—
421C2×M16—1722no—
422C22×C8—862no—
423C4⋊Q8—431no—
424C4⋊Q8—431no—
425#126—862no—
426#126—862no—
427#126—862no—
428#125—432no—
429#125—862no—
430#125—861no—
431#124—861no—
432#124—862no—
433#123—862no—
434#123—862no—
435#123—862no—
436#123—862no—
437C22⋊Q8—432no—
438C22⋊Q8—432no—
439C22⋊Q8—861no—
440C22⋊Q8—861no—
441C22⋊Q8—861no—
442C22⋊Q8—862no—
443#121—432no—
444#121—432no—
445#121—862no—
446#121—861no—
447#120—862no—
448C4×Q8—431no—
449C4×Q8—431no—
450C4×Q8—861no—
451C4×Q8—861no—
452C4×Q8—861no—
453C4×D4—431no—
454C4×D4—431no—
455C4×D4—861no—
456C4×D4—862no—
457C4×D4—862no—
458C4×D4—861no—
459C4×D4—861no—
460C4×D4—862no—
461C4×D4C4×D4311yescharacteristic
462C4×D4C4×D4312yes—
463C4×D4C4×D4311yescharacteristic
464C4×D4D17211yescharacteristic
465C4×D4D17211yescharacteristic
466C4×D4D17212yes—
467#117—24no—
468#117—42no—
469#117—432no—
470#117—432no—
471#117—431no—
472#117—432no—
473#117—862no—
474#117—862no—
475#117—861no—
476#117—862no—
477#117—861no—
478C2×C4⋊C4—22no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—432no—
481C2×C4⋊C4—432no—
482C2×C4⋊C4C22⋊D4311yescharacteristic
483C2×C22⋊C4—22no—
484C2×C22⋊C4—22no—
485C2×C22⋊C4—862no—
486C2×C22⋊C4C22⋊D4312yes—
487C2×C42—21no—
488C2×C42—21no—
489C2×C42—862no—
490C2×C42—861no—
491C2×C42C22×D4312yes—
492C2×C42C22×D4311yescharacteristic
493C2×C42C22×D4311yescharacteristic
494C2×C42C22×D4311yescharacteristic
495C4⋊C8—861no—
496C4⋊C8—861no—
497#104—862no—
498#104—862no—
499#104—1722no—
500C22⋊C8—862no—
501C22⋊C8—862no—
502#97—861no—
503C4×C8—861no—
504#95—22no—
505#95—21no—
506C24C2×C22⋊D4312yes—
507#41—861no—
508#41—861no—
509#41—861no—
510#41—861no—
511#41—1724no—
512C2×Q8—431no—
513C2×Q8—861no—
514C2×Q8—861no—
515C2×D4—42no—
516C2×D4—431no—
517C2×D4—862no—
518C2×D4—862no—
519C2×D4—861no—
520C2×D4(C2×D43)⋊C411yescharacteristic
521C2×D4(C2×D43)⋊C411yescharacteristic
522C2×D4(C2×D43)⋊C412yes—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—22no—
530C22×C4—862no—
531C22×C4—862no—
532C22×C4—861no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4C2×C4×D4312yes—
536C22×C4C2×C4×D4312yes—
537C22×C4C2×D17212yes—
538C22×C4C2×D17212yes—
539C22×C4C2×C22⋊D4312yes—
540C22×C4C2×C22⋊D4311yescharacteristic
541C22×C4C2×C22⋊D4311yescharacteristic
542C22×C4C23×D4311yescharacteristic
543M16—432no—
544M16—861no—
545M16—862no—
546M16—861no—
547M16—862no—
548M16—861no—
549M16—1724no—
550C2×C8—861no—
551C2×C8—861no—
552C2×C8—862no—
553C2×C8—1724no—
554C4⋊C4—44no—
555C4⋊C4—42no—
556C4⋊C4—431no—
557C4⋊C4—431no—
558C4⋊C4—432no—
559C4⋊C4—432no—
560C4⋊C4—862no—
561C4⋊C4—862no—
562C4⋊C4—861no—
563C4⋊C4—861no—
564C4⋊C4—861no—
565C4⋊C4—862no—
566C4⋊C4—862no—
567C4⋊C4—862no—
568C4⋊C4—862no—
569C4⋊C4—861no—
570C4⋊C4(C2×D43)⋊C411yescharacteristic
571C4⋊C4(C2×D43)⋊C411yescharacteristic
572C4⋊C4(C2×D43)⋊C412yes—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—862no—
576C22⋊C4—862no—
577C22⋊C4—862no—
578C22⋊C4—862no—
579C22⋊C4—861no—
580C22⋊C4—862no—
581C22⋊C4—861no—
582C22⋊C4—861no—
583C22⋊C4—862no—
584C22⋊C4—862no—
585C22⋊C4(C2×D43)⋊C412yes—
586C22⋊C4(C2×D43)⋊C412yes—
587C22⋊C4(C2×D43)⋊C412yes—
588C22⋊C4(C2×D43)⋊C412yes—
589C42—21no—
590C42—21no—
591C42—22no—
592C42—22no—
593C42—21no—
594C42—42no—
595C42—42no—
596C42—862no—
597C42—862no—
598C42—861no—
599C42—861no—
600C42—861no—
601C42—862no—
602C42C2×C4×D4311yescharacteristic
603C42C2×C4×D4311yescharacteristic
604C42C2×D17211yescharacteristic
605C42C2×D17211yescharacteristic
606C42#1062190012yescomplemented
607C23—22no—
608C23—22no—
609C23—42no—
610C23—42no—
611C23—861no—
612C23C2×(C2×D43)⋊C412yes—
613C23C2×(C2×D43)⋊C412yes—
614C23C22×C22⋊D4311yescharacteristic
615Q8—861no—
616Q8—861no—
617Q8—3441no—
618Q8—1722no—
619D4—22no—
620D4—22no—
621D4—42no—
622D4—861no—
623D4—861no—
624D4—3442no—
625D4—1724no—
626D4—1721no—
627D4—1721no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—862no—
652C2×C4—862no—
653C2×C4—861no—
654C2×C4—3441no—
655C2×C4—3442no—
656C2×C4—1724no—
657C2×C4—1721no—
658C2×C4—1722no—
659C2×C4—1721no—
660C2×C4C2×(C2×D43)⋊C412yes—
661C2×C4C2×(C2×D43)⋊C411yescharacteristic
662C2×C4C2×(C2×D43)⋊C411yescharacteristic
663C2×C4C2×(C2×D43)⋊C411yescharacteristic
664C2×C4C2×(C2×D43)⋊C412yes—
665C2×C4C2×(C2×D43)⋊C411yescharacteristic
666C2×C4C22×C4×D4311yescharacteristic
667C2×C4C22×D17211yescharacteristic
668C2×C4#41×D4311yescharacteristic
669C2×C4C2×#1062190011yescharacteristic
670C2×C4#1306337011yescharacteristic
671C2×C4#1306337211yescharacteristic
672C8—862no—
673C8—1721no—
674C8—1722no—
675C22—21no—
676C22—21no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—82no—
684C22—82no—
685C22—1721no—
686C22—1721no—
687C22—1721no—
688C22C22×(C2×D43)⋊C411yescharacteristic
689C22#1458354311yescharacteristic
690C22#1458354811yescharacteristic
691C4—22no—
692C4—22no—
693C4—21no—
694C4—21no—
695C4—21no—
696C4—42no—
697C4—42no—
698C4—82no—
699C4—1721no—
700C4—1721no—
701C4—1722no—
702C4—1721no—
703C4—1722no—
704C4#1458291712yes—
705C4C4×#1062190011yescharacteristic
706C4#1458337811yescharacteristic
707C4#1458354411yescharacteristic
708C4#1458355311yescharacteristic
709C2—21no—
710C2—21no—
711C2—42no—
712C2—42no—
713C2—3441no—
714C2#1913742011yescharacteristic
715C2C2×#1458291711yescharacteristic
716C2#1914314311yescharacteristic
subgroupG/H
centerC2×C4C22×D172
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2293C2
socleC22×C43C22×C22⋊C4
prime radical#19148153C2
cosocleC22×C4×C43C24
hypercenter#2293D43
hypocenterC43#22507
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ #2293

Complements

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

NH ≅ G/Ntype
2. D4×#10621877C2semidirect
3. #19135572C2semidirect
4. #19135538C2semidirect
5. #19135043C2semidirect
6. #19134895C2semidirect
7. #19134695C2semidirect
8. #19134616C2semidirect
9. C4×#13063253C2semidirect
10. #19134305C2semidirect
11. C43×#2293C2semidirect
13. #14583619C4semidirect
14. #14583614C4semidirect
15. #14583606C4semidirect
16. #14583595C4semidirect
17. #14583589C4semidirect
20. #14583553C4semidirect
206. C42×C43#41semidirect
243. #10621877#41semidirect
353. #2293D43semidirect
411. C43#22507semidirect
606. C42#10621900semidirect

Maximal subgroups

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

subgroupindex
#191481532
D4×#106218772
#191355722
#191355382
#191350432
#191348952
#191346952
#191346162
C4×#130632532
#191343052
C43×#22932
#2250743