Finite Group Databasebeta

← #25097346

Subgroups — #25097346

Order 11008.

1630 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#117×D43C211yesmaximal, characteristic
2C2×#14582942C211yesmaximal, characteristic, complemented
3C2×#14582941C211yesmaximal, characteristic, complemented
4C2×#14582862C211yesmaximal, characteristic
5C2×#14582756C211yesmaximal, characteristic
6#19134797C212yesmaximal, complemented
7#19134795C212yesmaximal, complemented
8#19134789C212yesmaximal, complemented
9#19134784C212yesmaximal, complemented
10#19134314C211yesmaximal, characteristic, complemented
11C43×#1736C211yesmaximal, characteristic, complemented
12C23×C4×D43C2211yescharacteristic
13C22×#10621877C2211yescharacteristic
14C2×#13063284C2211yescharacteristic
15C2×#13063283C2211yescharacteristic
16C2×#13063283C2211yescharacteristic
17C2×#13063282—21no—
18C2×#13063281—21no—
19#117×D43—24no—
20#117×D43—24no—
21C22×C4⋊Dic43C2211yescharacteristic
22C2×C4⋊C4×D43C2211yescharacteristic
23C2×C4⋊C4×D43C2211yescharacteristic
24C22×(C2×D43)⋊C4—21no—
25C2×C22⋊C4×D43—21no—
26C2×C42×D43—21no—
27#14582942—24no—
28#14582941—24no—
29C2×#13063259C2212yescomplemented
30C2×#13063258C2212yescomplemented
31C2×#13063257C2212yescomplemented
32C2×#13063256C2212yescomplemented
33#14582862C418yescomplemented
34C2×(C2×D43)⋊C8C2212yes—
35C2×(C2×D43)⋊C8C2212yes—
36#14582756—21no—
37#14582756—21no—
38#14582756C2212yes—
39#14582756C2212yes—
40C2×C43⋊#95—21no—
41#14582661C2212yescomplemented
42#14582661C2212yescomplemented
43C22×M16×C43C2211yescharacteristic
44C2×#117×C43C2211yescharacteristic
45C22×C4⋊C4×C43C2211yescharacteristic
46C43×#340C2212yescomplemented
47C43×#340C2212yescomplemented
48C24×D43D411yescharacteristic
49C23×Dic43—21no—
50C23×Dic43D411yescharacteristic
51C22×C4×D43—22no—
52C22×C4×D43—22no—
53C22×C4×D43—22no—
54C22×C4×D43—22no—
55C22×C4×D43—21no—
56C22×C4×D43—21no—
57C22×C4×D43C2×C414yes—
58C22×C4×D43D411yescharacteristic
59C22×C4×D43D411yescharacteristic
60C22×C4×D43Q814yes—
61C22×C4×D43C2311yescharacteristic
62C22×C4×D43C2311yescharacteristic
63C2×#10621877—22no—
64C2×#10621877—22no—
65C2×#10621877C2×C414yescomplemented
66C22×C43⋊C8C2312yes—
67#13063284—22no—
68#13063284D414yes—
69#13063283—22no—
70#13063283—22no—
71#13063283—22no—
72#13063283—22no—
73#13063282—28no—
74#13063281—28no—
75C2×C4⋊Dic43—22no—
76C2×C4⋊Dic43—22no—
77C2×C4⋊Dic43—21no—
78C2×C4⋊Dic43C2312yes—
79C2×C4⋊Dic43C2311yescharacteristic
80C2×C4⋊Dic43C2311yescharacteristic
81C2×Dic43⋊C4—21no—
82C2×Dic43⋊C4—21no—
83C4⋊C4×D43—22no—
84C4⋊C4×D43—22no—
85C4⋊C4×D43—22no—
86C4⋊C4×D43—22no—
87C2×C22⋊Dic43—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90C2×(C2×D43)⋊C4—22no—
91C2×(C2×D43)⋊C4—22no—
92C2×(C2×D43)⋊C4—44no—
93C22⋊C4×D43—28no—
94C2×C4×Dic43—21no—
95C2×C4×Dic43—21no—
96C2×C4×Dic43—21no—
97C42×D43—28no—
98#13063259—24no—
99#13063258—24no—
100#13063257—24no—
101#13063256—24no—
102(C2×D43)⋊C8C2×C418yescomplemented
103(C2×D43)⋊C8C2×C418yescomplemented
104C43⋊#95—22no—
105C43⋊#95—22no—
106C23×C4×C43—21no—
107C23×C4×C43C2311yescharacteristic
108C2×M16×C43—22no—
109C2×M16×C43—22no—
110C2×M16×C43C2×C414yescomplemented
111C22×C8×C43C2312yes—
112#117×C43—22no—
113#117×C43D414yes—
114C2×C4⋊C4×C43—22no—
115C2×C4⋊C4×C43—22no—
116C2×C4⋊C4×C43—21no—
117C2×C4⋊C4×C43C2312yes—
118C2×C4⋊C4×C43C2311yescharacteristic
119C2×C4⋊C4×C43C2311yescharacteristic
120C2×C22⋊C4×C43—21no—
121C2×C42×C43—21no—
122C24×C43C2×D411yescharacteristic
123C23×D43—22no—
124C23×D43—22no—
125C23×D43—22no—
126C23×D43—22no—
127C23×D43—41no—
128C23×D43—41no—
129C23×D43C4⋊C414yes—
130C23×D43C2×D411yescharacteristic
131C23×D43C2×D411yescharacteristic
132C22×C4×C43—21no—
133C22×C4×C43—21no—
134C22×C4×C43—22no—
135C22×C4×C43—42no—
136C22×C4×C43—42no—
137C22×C4×C43—42no—
138C22×C4×C43C22×C412yes—
139C22×C4×C43C2×D412yes—
140C22×C4×C43C2×D412yes—
141C22×C4×C43C2×D411yescharacteristic
142C22×C4×C43C2×Q812yes—
143C22×C4×C43#4112yes—
144C22×C4×C43#4112yes—
145C22×C4×C43C2411yescharacteristic
146C22×Dic43—22no—
147C22×Dic43—22no—
148C22×Dic43—21no—
149C22×Dic43—21no—
150C22×Dic43—22no—
151C22×Dic43—42no—
152C22×Dic43—42no—
153C22×Dic43—42no—
154C22×Dic43C4⋊C414yes—
155C22×Dic43C2×D411yescharacteristic
156C22×Dic43C2×D411yescharacteristic
157C2×C4×D43—28no—
158C2×C4×D43—28no—
159C2×C4×D43—22no—
160C2×C4×D43—22no—
161C2×C4×D43—28no—
162C2×C4×D43—28no—
163C2×C4×D43—22no—
164C2×C4×D43—22no—
165C2×C4×D43—21no—
166C2×C4×D43—21no—
167C2×C4×D43—21no—
168C2×C4×D43—21no—
169C2×C4×D43—21no—
170C2×C4×D43—21no—
171C2×C4×D43—21no—
172C2×C4×D43—21no—
173C2×C4×D43—24no—
174C2×C4×D43—24no—
175C2×C4×D43—42no—
176C2×C4×D43—42no—
177C2×C4×D43—42no—
178C2×C4×D43—42no—
179C2×C4×D43C4⋊C414yes—
180C2×C4×D43C4⋊C414yes—
181C2×C4×D43C22×C412yes—
182C2×C4×D43C22×C412yes—
183C2×C4×D43C2×Q812yes—
184C2×C4×D43C2×Q812yes—
185M16×C43—28no—
186C2×C8×C43—22no—
187C2×C8×C43—22no—
188C2×C8×C43C22×C414yes—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—22no—
192C4⋊C4×C43—22no—
193C4⋊C4×C43—42no—
194C4⋊C4×C43C2×D412yes—
195C4⋊C4×C43C2×D412yes—
196C22⋊C4×C43—24no—
197C42×C43—24no—
198C22⋊Dic43—24no—
199(C2×D43)⋊C4—24no—
200(C2×D43)⋊C4—24no—
201(C2×D43)⋊C4—44no—
202(C2×D43)⋊C4—44no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205C4⋊Dic43—22no—
206C4⋊Dic43—22no—
207C4⋊Dic43—42no—
208C4⋊Dic43C2×D412yes—
209C4⋊Dic43C2×D412yes—
210Dic43⋊C4—24no—
211Dic43⋊C4—24no—
212C4×Dic43—24no—
213C4×Dic43—24no—
214C4×Dic43—24no—
215#10621877—28no—
216C2×C43⋊C8—22no—
217C2×C43⋊C8—22no—
218C2×C43⋊C8C22×C414yes—
219C23×C43—21no—
220C23×C43—21no—
221C23×C43—21no—
222C23×C43—21no—
223C23×C43C2×C4⋊C412yes—
224C23×C43#12012yes—
225C23×C43#12312yes—
226C23×C43C22×D411yescharacteristic
227C22×D43—21no—
228C22×D43—21no—
229C22×D43—21no—
230C22×D43—21no—
231C22×D43—21no—
232C22×D43—21no—
233C22×D43—21no—
234C22×D43—21no—
235C22×D43—21no—
236C22×D43—21no—
237C22×D43—28no—
238C22×D43—28no—
239C22×D43—44no—
240C22×D43—44no—
241C22×D43—44no—
242C22×D43—44no—
243C22×D43—44no—
244C22×D43C2×C4⋊C412yes—
245C22×D43C2×C4⋊C412yes—
246C22×D43AGL(1,ℤ/8)12yes—
247C22×D43#13712yes—
248C2×C4×C43—22no—
249C2×C4×C43—22no—
250C2×C4×C43—41no—
251C2×C4×C43—41no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—42no—
255C2×C4×C43—42no—
256C2×C4×C43—42no—
257C2×C4×C43—84no—
258C2×C4×C43C2×C4⋊C412yes—
259C2×C4×C43C4×D414yes—
260C2×C4×C43C4×D414yes—
261C2×C4×C43#12012yes—
262C2×C4×C43C22⋊Q814yes—
263C2×C4×C43C22⋊Q814yes—
264C2×C4×C43#12312yes—
265C2×C4×C43C23×C411yescharacteristic
266C2×C4×C43C22×D411yescharacteristic
267C2×C4×C43C22×D411yescharacteristic
268C2×C4×C43C22×Q811yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C2×Dic43—21no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—28no—
276C2×Dic43—22no—
277C2×Dic43—22no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—42no—
283C2×Dic43—42no—
284C2×Dic43—42no—
285C2×Dic43—84no—
286C2×Dic43C2×C4⋊C412yes—
287C2×Dic43C2×C4⋊C412yes—
288C4×D43—22no—
289C4×D43—22no—
290C4×D43—22no—
291C4×D43—22no—
292C4×D43—22no—
293C4×D43—22no—
294C4×D43—22no—
295C4×D43—22no—
296C4×D43—28no—
297C4×D43—28no—
298C4×D43—48no—
299C4×D43—48no—
300C8×C43—24no—
301C43⋊C8—24no—
302#20846—431nomaximal, Sylow
303C22×C43—22no—
304C22×C43—22no—
305C22×C43—22no—
306C22×C43—22no—
307C22×C43—22no—
308C22×C43—22no—
309C22×C43#38514yes—
310C22×C43C22×C4⋊C411yescharacteristic
311C22×C43C2×#12011yescharacteristic
312C22×C43C2×#12311yescharacteristic
313C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C43C2×#13711yescharacteristic
315C22×C43#57511yescharacteristic
316C22×C43#57511yescharacteristic
317C2×D43—22no—
318C2×D43—22no—
319C2×D43—22no—
320C2×D43—22no—
321C2×D43—22no—
322C2×D43—22no—
323C2×D43—22no—
324C2×D43—22no—
325C2×D43—22no—
326C2×D43—416no—
327C2×D43—41no—
328C2×D43—41no—
329C2×D43—41no—
330C2×D43—41no—
331C2×D43#42814yescomplemented
332C4×C43—42no—
333C4×C43—42no—
334C4×C43—82no—
335C4×C43#38514yes—
336C4×C43C2×C4×D411yescharacteristic
337C4×C43C2×C4×D411yescharacteristic
338C4×C43C2×C22⋊Q811yescharacteristic
339C4×C43C2×C22⋊Q811yescharacteristic
340Dic43—22no—
341Dic43—22no—
342Dic43—42no—
343Dic43—42no—
344Dic43—82no—
345C22×#117—431no—
346C2×#428—431no—
347C2×#428—431no—
348C2×#407—431no—
349C2×#380—431no—
350#1854—432no—
351#1854—432no—
352#1853—432no—
353#1852—432no—
354#1736—431no—
355#1736D4311yescharacteristic, complemented
356C2×C43—24no—
357C2×C43C2×#38511yescharacteristic
358C2×C43C2×#42811yescharacteristic
359C2×C43#291111yescharacteristic
360C2×C43#300611yescharacteristic
361C2×C43#300711yescharacteristic
362C2×C43#309411yescharacteristic
363C2×C43#309511yescharacteristic
364D43—24no—
365D43—42no—
366C24×C4—431no—
367C22×M16—431no—
368C22×M16C2×D4311yescharacteristic
369C2×#117—431no—
370C2×#117—431no—
371C2×#117—431no—
372C2×#117—861no—
373C2×#117—861no—
374C2×#117—864no—
375C2×#117—864no—
376C2×#117C2×D4311yescharacteristic
377C22×C4⋊C4—431no—
378C22×C4⋊C4—431no—
379C22×C4⋊C4—431no—
380C22×C4⋊C4C2×D4311yescharacteristic
381C22×C22⋊C4—861no—
382C22×C22⋊C4—861no—
383C22×C42—861no—
384#428—864no—
385#428—864no—
386C2×#107—432no—
387C2×#107—432no—
388C2×#106—432no—
389C2×#106—432no—
390#407—438no—
391C2×C22⋊C8—432no—
392C2×C22⋊C8—432no—
393#380—432no—
394#380—432no—
395#380—861no—
396#380—861no—
397C2×#95—861no—
398#340—432no—
399#340—432no—
400#340C2×D4312yescomplemented
401#340C2×D4312yescomplemented
402C43#2084611yescharacteristic, complemented, Sylow
403C25—431no—
404C23×C4—21no—
405C23×C4—431no—
406C23×C4—434no—
407C23×C4—431no—
408C23×C4—431no—
409C23×C4—434no—
410C23×C4—431no—
411C23×C4—431no—
412C23×C4—861no—
413C23×C4—861no—
414C23×C4—862no—
415C23×C4—862no—
416C23×C4—862no—
417C23×C4—862no—
418C23×C4—861no—
419C23×C4C22×D4311yescharacteristic
420C2×M16—22no—
421C2×M16—22no—
422C2×M16—434no—
423C2×M16—862no—
424C2×M16—862no—
425C2×M16C4×D4314yescomplemented
426C22×C8—432no—
427C22×C8C22×D4312yes—
428#117—22no—
429#117—434no—
430#117—868no—
431#117—868no—
432#117—862no—
433#117—862no—
434#117—862no—
435#117—862no—
436#117—862no—
437#117D17214yes—
438C2×C4⋊C4—22no—
439C2×C4⋊C4—22no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—431no—
442C2×C4⋊C4—431no—
443C2×C4⋊C4—432no—
444C2×C4⋊C4—862no—
445C2×C4⋊C4—862no—
446C2×C4⋊C4—861no—
447C2×C4⋊C4—861no—
448C2×C4⋊C4—862no—
449C2×C4⋊C4—862no—
450C2×C4⋊C4—862no—
451C2×C4⋊C4—862no—
452C2×C4⋊C4—861no—
453C2×C4⋊C4C22×D4312yes—
454C2×C4⋊C4C22×D4311yescharacteristic
455C2×C4⋊C4C22×D4311yescharacteristic
456C2×C22⋊C4—21no—
457C2×C22⋊C4—868no—
458C2×C22⋊C4—861no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—862no—
462C2×C22⋊C4—862no—
463C2×C22⋊C4—1724no—
464C2×C42—21no—
465C2×C42—868no—
466C2×C42—861no—
467C2×C42—861no—
468C2×C42—861no—
469#107—864no—
470#107—864no—
471#106—864no—
472#106—864no—
473C22⋊C8—438no—
474C22⋊C8—438no—
475#95—862no—
476#95—862no—
477C24—431no—
478C24—431no—
479C24—434no—
480C24—862no—
481C24—862no—
482C24—862no—
483C24—862no—
484C24—1721no—
485C24—1721no—
486C24D4×D4311yescharacteristic
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—434no—
494C22×C4—431no—
495C22×C4—431no—
496C22×C4—434no—
497C22×C4—434no—
498C22×C4—432no—
499C22×C4—432no—
500C22×C4—432no—
501C22×C4—432no—
502C22×C4—864no—
503C22×C4—864no—
504C22×C4—862no—
505C22×C4—862no—
506C22×C4—868no—
507C22×C4—868no—
508C22×C4—862no—
509C22×C4—862no—
510C22×C4—868no—
511C22×C4—868no—
512C22×C4—862no—
513C22×C4—862no—
514C22×C4—861no—
515C22×C4—861no—
516C22×C4—861no—
517C22×C4—861no—
518C22×C4—861no—
519C22×C4—861no—
520C22×C4—861no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—862no—
525C22×C4—1722no—
526C22×C4—1722no—
527C22×C4—1722no—
528C22×C4—1722no—
529C22×C4—1722no—
530C22×C4—1722no—
531C22×C4—1722no—
532C22×C4C2×C4×D4312yes—
533C22×C4C2×D17212yes—
534C22×C4#1062189812yes—
535C22×C4D4×D4311yescharacteristic
536C22×C4D4×D4312yes—
537C22×C4#1062190012yes—
538C22×C4Q8×D4312yes—
539C22×C4C23×D4311yescharacteristic
540M16—28no—
541M16—868no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—434no—
545C2×C8—862no—
546C2×C8—862no—
547C2×C8C2×C4×D4314yes—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—42no—
553C4⋊C4—432no—
554C4⋊C4—432no—
555C4⋊C4—864no—
556C4⋊C4—864no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—862no—
560C4⋊C4—862no—
561C4⋊C4—1722no—
562C4⋊C4C2×D17212yes—
563C4⋊C4C2×D17212yes—
564C22⋊C4—24no—
565C22⋊C4—864no—
566C22⋊C4—864no—
567C22⋊C4—864no—
568C22⋊C4—1724no—
569C22⋊C4—1724no—
570C42—24no—
571C42—864no—
572C42—864no—
573C42—864no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—432no—
579C23—432no—
580C23—432no—
581C23—432no—
582C23—868no—
583C23—861no—
584C23—861no—
585C23—861no—
586C23—861no—
587C23—861no—
588C23—861no—
589C23—861no—
590C23—861no—
591C23—861no—
592C23—861no—
593C23—868no—
594C23—1724no—
595C23—1724no—
596C23—1724no—
597C23—1724no—
598C23—1724no—
599C23C4⋊C4×D4312yes—
600C23#1306329512yes—
601C23#1306330712yes—
602C23C2×D4×D4311yescharacteristic
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—84no—
613C2×C4—432no—
614C2×C4—432no—
615C2×C4—861no—
616C2×C4—861no—
617C2×C4—861no—
618C2×C4—861no—
619C2×C4—868no—
620C2×C4—862no—
621C2×C4—862no—
622C2×C4—862no—
623C2×C4—862no—
624C2×C4—862no—
625C2×C4—862no—
626C2×C4—862no—
627C2×C4—862no—
628C2×C4—868no—
629C2×C4—868no—
630C2×C4—862no—
631C2×C4—862no—
632C2×C4—3444no—
633C2×C4—1728no—
634C2×C4—1728no—
635C2×C4—1722no—
636C2×C4—1722no—
637C2×C4—1722no—
638C2×C4—1721no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4C4⋊C4×D4312yes—
643C2×C4(C22⋊D43)⋊C414yes—
644C2×C4C4×D17214yes—
645C2×C4#1306329512yes—
646C2×C4#1306330314yes—
647C2×C4#1306330514yes—
648C2×C4#1306330712yes—
649C2×C4C22×C4×D4311yescharacteristic
650C2×C4C2×D4×D4311yescharacteristic
651C2×C4C22×D17211yescharacteristic
652C2×C4C2×Q8×D4311yescharacteristic
653C2×C4C2×#1062190011yescharacteristic
654C2×C4C2×#1062189811yescharacteristic
655C8—24no—
656C8—864no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—434no—
664C22—862no—
665C22—862no—
666C22—862no—
667C22—862no—
668C22—862no—
669C22—862no—
670C22—862no—
671C22—862no—
672C22—862no—
673C22—17216no—
674C22—1721no—
675C22—1721no—
676C22—1721no—
677C22—1721no—
678C22#1458277314yes—
679C22C2×C4⋊C4×D4311yescharacteristic
680C22C2×#1306329511yescharacteristic
681C22C2×#1306330711yescharacteristic
682C22AGL(1,ℤ/8)×D4311yescharacteristic
683C22#137×D4311yescharacteristic
684C22#1458369511yescharacteristic
685C22#1458369811yescharacteristic
686C4—42no—
687C4—42no—
688C4—82no—
689C4—862no—
690C4—862no—
691C4—3442no—
692C4—1722no—
693C4—1722no—
694C4#1458277314yes—
695C4C2×(C22⋊D43)⋊C411yescharacteristic
696C4C2×C4×D17211yescharacteristic
697C4C2×#1306330311yescharacteristic
698C4C2×#1306330511yescharacteristic
699C2—24no—
700C2—864no—
701C2—1722no—
702C2C2×#1458277311yescharacteristic
703C2#428×D4311yescharacteristic
704C2#1914318211yescharacteristic
705C2#1914384811yescharacteristic
706C2#1914385611yescharacteristic
707C2#1914453311yescharacteristic
708C2#1914454111yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1736C2
socleC23×C43C22×D4
prime radicalC24×D43D4
cosocleC22×C4×C43C24
hypercenter#1736D43
hypocenterC43#20846
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1736

Complements

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

NH ≅ G/Ntype
2. C2×#14582942C2semidirect
3. C2×#14582941C2semidirect
6. #19134797C2semidirect
7. #19134795C2semidirect
8. #19134789C2semidirect
9. #19134784C2semidirect
10. #19134314C2semidirect
11. C43×#1736C2semidirect
29. C2×#13063259C22semidirect
30. C2×#13063258C22semidirect
31. C2×#13063257C22semidirect
32. C2×#13063256C22semidirect
33. #14582862C4semidirect
41. #14582661C22semidirect
42. #14582661C22semidirect
46. C43×#340C22semidirect
47. C43×#340C22semidirect
65. C2×#10621877C2×C4semidirect
102. (C2×D43)⋊C8C2×C4semidirect
103. (C2×D43)⋊C8C2×C4semidirect
110. C2×M16×C43C2×C4semidirect
331. C2×D43#428semidirect
355. #1736D43semidirect
400. #340C2×D43semidirect
401. #340C2×D43semidirect
402. C43#20846semidirect
425. C2×M16C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#117×D432
C2×#145829422
C2×#145829412
C2×#145828622
C2×#145827562
#191347972
#191347952
#191347892
#191347842
#191343142
C43×#17362
#2084643