Finite Group Databasebeta

← #25960278

Subgroups — #25960278

Order 11008.

2694 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583665C211yesmaximal, characteristic
2#19147796C211yesmaximal, characteristic
3C2×#14583380C211yesmaximal, characteristic
4#19143194C214yesmaximal, complemented
5#19143191C214yesmaximal, complemented
6#19143189C214yesmaximal, complemented
7#19143186C214yesmaximal, complemented
8#19143185C211yesmaximal, characteristic, complemented
9#19143184C211yesmaximal, characteristic, complemented
10#19143182C214yesmaximal, complemented
11C2×#14582939C211yesmaximal, characteristic, complemented
12#428×D43C214yesmaximal, complemented
13C2×C43×#428C211yesmaximal, characteristic, complemented
14C22×#10621898C2211yescharacteristic
15#14583665C4116yescomplemented
16C2×#13063333C2214yes—
17C2×#13063331C2214yes—
18C22×#10621877C2211yescharacteristic
19C2×M16×D43C2214yes—
20#14583380—22no—
21#14583380—22no—
22#14583380C2214yes—
23#14583380C2214yes—
24#14583380C2212yes—
25#14583380C2212yes—
26#14583379C2212yes—
27#14583379C2212yes—
28#14583376—21no—
29#14583373—21no—
30#14583372—22no—
31C4×#10621898—22no—
32#14583367—22no—
33C2×#13063290—21no—
34C2×#13063287—21no—
35C2×C4×C22⋊D43—22no—
36C2×#13063284C2211yescharacteristic
37C2×#13063284C2211yescharacteristic
38C2×#13063283C2212yes—
39#117×D43C2214yes—
40C2×C4⋊C4×D43C2212yes—
41#14582942C2212yes—
42#14582942C2212yes—
43#14582941C2212yes—
44#14582941C2212yes—
45#14582941C2212yescomplemented
46#14582941C2212yescomplemented
47#14582940C2218yescomplemented
48#14582940C2218yescomplemented
49#14582939C2214yes—
50#14582939C2214yescomplemented
51#14582939C2212yescomplemented
52#14582939C2212yescomplemented
53#14582938C2218yescomplemented
54#14582938C2218yescomplemented
55#14582937C2214yescomplemented
56#14582936C2218yescomplemented
57#14582935C2214yescomplemented
58#14582934C2218yescomplemented
59C2×#13063258C2212yescomplemented
60#107×D43C2218yescomplemented
61C2×#13063256C2212yescomplemented
62#106×D43C2218yescomplemented
63C22×M16×C43C2211yescharacteristic
64C2×#117×C43C2211yescharacteristic
65C22×C4⋊C4×C43C2211yescharacteristic
66C43×#428C2214yes—
67C43×#428C2214yescomplemented
68C2×#107×C43C2212yescomplemented
69C2×#106×C43C2212yescomplemented
70C2×#10621898C2×C418yes—
71C2×#10621898D412yes—
72C2×#10621898D412yes—
73C2×#10621898Q818yes—
74C2×#10621898C2312yes—
75C2×#10621898C2312yes—
76C22×Dic86D411yescharacteristic
77C22×D172D411yescharacteristic
78C22×C22⋊D43D412yes—
79C22×C4×D43—22no—
80C22×C4×D43C2312yes—
81#13063333C2×C4132yescomplemented
82#13063331C2×C4132yescomplemented
83C2×#10621877C2×C418yescomplemented
84C2×#10621877C2312yes—
85C2×#10621877C2312yes—
86C2×#10621872C2318yes—
87M16×D43C2×C4132yescomplemented
88C22×C43⋊C8C2312yes—
89C2×C8×D43C2318yes—
90C4×Dic86—22no—
91C4×Dic86—22no—
92#13063290—24no—
93#13063290—24no—
94#13063290—22no—
95#13063290—22no—
96C4×D172—22no—
97C4×D172—22no—
98#13063287—24no—
99#13063287—24no—
100#13063287—22no—
101#13063287—22no—
102C4×C22⋊D43—28no—
103C4×C22⋊D43—28no—
104C4×C22⋊D43—24no—
105C4×C22⋊D43—24no—
106(C22⋊D43)⋊C4—24no—
107(C22⋊D43)⋊C4—24no—
108#13063284—21no—
109#13063284—21no—
110#13063284—21no—
111#13063284—21no—
112#13063284C2312yes—
113#13063284C2312yes—
114#13063284C2312yes—
115#13063284C2312yes—
116#13063283—24no—
117#13063283C2314yes—
118#13063283C2314yes—
119#13063283C2318yes—
120#13063282—24no—
121#13063281—24no—
122C2×C4⋊Dic43C2311yescharacteristic
123C2×C4⋊Dic43C2311yescharacteristic
124C2×C4⋊Dic43C2311yescharacteristic
125C2×C4⋊Dic43C2311yescharacteristic
126C2×Dic43⋊C4—22no—
127C4⋊C4×D43—24no—
128C4⋊C4×D43C2318yes—
129C4⋊C4×D43C2314yes—
130C4⋊C4×D43C2314yes—
131C2×C22⋊Dic43—21no—
132C2×C22⋊Dic43—21no—
133C2×(C2×D43)⋊C4—22no—
134C22⋊C4×D43—24no—
135C2×C4×Dic43—21no—
136C2×C4×Dic43—21no—
137C2×C4×Dic43—22no—
138C42×D43—24no—
139#13063259C2314yes—
140#13063259C2314yes—
141#13063258C2314yes—
142#13063258C2318yes—
143#13063258C2314yes—
144#13063257C2314yes—
145#13063257C2314yes—
146#13063256C2314yes—
147#13063256C2318yes—
148#13063256C2314yes—
149C23×C4×C43—21no—
150C23×C4×C43C2311yescharacteristic
151C2×M16×C43C2×C418yescomplemented
152C2×M16×C43C2312yes—
153C2×M16×C43C2312yes—
154C22×C8×C43C2312yes—
155#117×C43—21no—
156#117×C43—21no—
157#117×C43C2312yes—
158#117×C43C2312yes—
159C2×C4⋊C4×C43—21no—
160C2×C4⋊C4×C43—21no—
161C2×C4⋊C4×C43—21no—
162C2×C4⋊C4×C43C2312yes—
163C2×C4⋊C4×C43C2312yes—
164C2×C4⋊C4×C43C2312yes—
165C2×C4⋊C4×C43C2311yescharacteristic
166C2×C4⋊C4×C43C2311yescharacteristic
167C2×C22⋊C4×C43—21no—
168C2×C42×C43—21no—
169#107×C43C2318yes—
170#106×C43C2318yes—
171C24×C43C2×D411yescharacteristic
172C23×D43C2×D412yes—
173C22×C4×C43—22no—
174C22×C4×C43—21no—
175C22×C4×C43—21no—
176C22×C4×C43—22no—
177C22×C4×C43—22no—
178C22×C4×C43—82no—
179C22×C4×C43C22×C414yes—
180C22×C4×C43C2×D411yescharacteristic
181C22×C4×C43C2×D411yescharacteristic
182C22×C4×C43C2×D411yescharacteristic
183C22×C4×C43C2×Q814yes—
184C22×C4×C43C2411yescharacteristic
185C22×C4×C43C2411yescharacteristic
186C22×C4×C43C2411yescharacteristic
187C2×C22⋊D43C4⋊C4116yes—
188C2×C22⋊D43C2×D414yes—
189C2×C22⋊D43C2×D414yes—
190C22×Dic43—21no—
191C22×Dic43—21no—
192C22×Dic43—21no—
193C22×Dic43—21no—
194C22×Dic43C2×D412yes—
195#10621898C4⋊C4116yes—
196#10621898C4⋊C4116yes—
197#10621898C22×C418yes—
198#10621898C22×C418yes—
199#10621898C2×Q818yes—
200#10621898C2×Q818yes—
201C2×D172C4⋊C418yes—
202C2×D172C2×D412yes—
203C2×D172C2×D412yes—
204C2×C4×D43—24no—
205C2×C4×D43—24no—
206C2×C4×D43—28no—
207C2×C4×D43—84no—
208C2×C4×D43C22×C418yes—
209C2×C4×D43C2×D414yes—
210C2×C4×D43C2×Q818yes—
211C2×C4×D43C2414yes—
212C2×Dic86C4⋊C418yes—
213C2×Dic86C2×D412yes—
214C2×Dic86C2×D412yes—
215M16×C43C22×C418yes—
216M16×C43C22×C418yescomplemented
217C2×C8×C43C22×C418yescomplemented
218C2×C8×C43C2414yes—
219C4⋊C4×C43—22no—
220C4⋊C4×C43—22no—
221C4⋊C4×C43—22no—
222C4⋊C4×C43—21no—
223C4⋊C4×C43—21no—
224C4⋊C4×C43C2412yes—
225C4⋊C4×C43C2414yes—
226C4⋊C4×C43C2412yes—
227C22⋊C4×C43—22no—
228C22⋊C4×C43—22no—
229C42×C43—22no—
230C42×C43—22no—
231C22⋊Dic43—22no—
232C22⋊Dic43—22no—
233C22⋊Dic43—22no—
234C22⋊Dic43—22no—
235(C2×D43)⋊C4—24no—
236(C2×D43)⋊C4—24no—
237(C2×D43)⋊C4—28no—
238C4⋊Dic43—21no—
239C4⋊Dic43—21no—
240C4⋊Dic43—21no—
241C4⋊Dic43—21no—
242C4⋊Dic43C2412yes—
243C4⋊Dic43C2412yes—
244C4⋊Dic43C2412yes—
245C4⋊Dic43C2412yes—
246Dic43⋊C4—28no—
247Dic43⋊C4—24no—
248Dic43⋊C4—24no—
249C4×Dic43—22no—
250C4×Dic43—22no—
251C4×Dic43—22no—
252C4×Dic43—22no—
253C4×Dic43—24no—
254C4×Dic43—24no—
255C4×Dic43—28no—
256#10621877C22×C418yes—
257#10621877C22×C418yescomplemented
258C2×C43⋊C8C22×C418yescomplemented
259C2×C43⋊C8C2414yes—
260#10621872C22×C4132yescomplemented
261C8×D43C22×C4132yescomplemented
262C23×C43—41no—
263C23×C43—41no—
264C23×C43C2×C4⋊C414yes—
265C23×C43C22×D411yescharacteristic
266C23×C43C22×D411yescharacteristic
267C23×C43C22×D411yescharacteristic
268C22×D43—42no—
269C22×D43—42no—
270C22×D43C2×C4⋊C418yes—
271C22×D43C22×D414yes—
272C2×C4×C43—22no—
273C2×C4×C43—22no—
274C2×C4×C43—24no—
275C2×C4×C43—44no—
276C2×C4×C43—81no—
277C2×C4×C43—81no—
278C2×C4×C43—82no—
279C2×C4×C43—82no—
280C2×C4×C43C2×C4⋊C414yes—
281C2×C4×C43C2×C4⋊C414yes—
282C2×C4×C43C2×C4⋊C414yes—
283C2×C4×C43C23×C412yes—
284C2×C4×C43C23×C412yes—
285C2×C4×C43C23×C412yes—
286C2×C4×C43C22×D411yescharacteristic
287C2×C4×C43C22×D411yescharacteristic
288C2×C4×C43C22×D411yescharacteristic
289C2×C4×C43C22×Q812yes—
290C2×C4×C43C22×Q812yes—
291C2×C4×C43C22×Q812yes—
292C2×C4×C43C2511yescharacteristic
293C22⋊D43C2×C4⋊C4116yes—
294C22⋊D43C2×C4⋊C4116yes—
295C2×Dic43—22no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—22no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—81no—
302C2×Dic43—81no—
303C2×Dic43C2×C4⋊C418yes—
304C2×Dic43C22×D414yes—
305D172C2×C4⋊C418yes—
306D172C2×C4⋊C418yes—
307C4×D43—84no—
308C4×D43—84no—
309C4×D43—88no—
310C4×D43C2×C4⋊C4116yes—
311C4×D43C23×C418yes—
312C4×D43C22×Q818yes—
313Dic86C2×C4⋊C418yes—
314Dic86C2×C4⋊C418yes—
315C8×C43C23×C418yes—
316C43⋊C8C23×C418yes—
317#60109—431nomaximal, Sylow
318C22×C43—21no—
319C22×C43—21no—
320C22×C43—21no—
321C22×C43—21no—
322C22×C43—21no—
323C22×C43—21no—
324C22×C43—44no—
325C22×C43C22×C4⋊C412yes—
326C22×C43C22×C4⋊C412yes—
327C22×C43C22×C4⋊C412yes—
328C22×C43C23×D411yescharacteristic
329C2×D43—24no—
330C2×D43—24no—
331C2×D43—48no—
332C2×D43C22×C4⋊C418yes—
333C4×C43—44no—
334C4×C43—42no—
335C4×C43—42no—
336C4×C43C22×C4⋊C412yes—
337C4×C43C22×C4⋊C412yes—
338C4×C43C22×C4⋊C412yes—
339C4×C43C24×C411yescharacteristic
340C4×C43C23×Q811yescharacteristic
341Dic43—42no—
342Dic43—42no—
343Dic43—42no—
344Dic43—42no—
345Dic43C22×C4⋊C418yes—
346C2×#568—431no—
347#3428—431no—
348C2×#520—431no—
349#2913—434no—
350#2913—434no—
351#2912—434no—
352#2912—434no—
353#2911—434no—
354#2911—431no—
355#2911—431no—
356C2×#428—434no—
357C2×#428—431no—
358C2×#428D4311yescharacteristic, complemented
359C2×C43—22no—
360C2×C43—22no—
361C2×C43—22no—
362C2×C43C23×C4⋊C411yescharacteristic
363C2×C43#358511yescharacteristic
364C2×C43#358611yescharacteristic
365D43—28no—
366C22×#41—431no—
367#568—4316no—
368C2×#131—434no—
369C2×#131—434no—
370C22×M16—431no—
371C22×M16—434no—
372C22×M16C2×D4311yescharacteristic
373#520—432no—
374#520—432no—
375#520—432no—
376#520—434no—
377#520—434no—
378#520—432no—
379#520—862no—
380#520—862no—
381#519—861no—
382#518—862no—
383#518—861no—
384C4×#41—862no—
385C4×#41—862no—
386C2×C4×Q8—861no—
387C2×C4×D4—861no—
388C2×C4×D4—862no—
389C2×#117—431no—
390C2×#117—431no—
391C2×#117—434no—
392C2×#117—432no—
393C2×#117C2×D4311yescharacteristic
394C22×C4⋊C4—432no—
395C22×C4⋊C4C2×D4311yescharacteristic
396#428—432no—
397#428—432no—
398#428—432no—
399#428—432no—
400#428—432no—
401#428—432no—
402#428—434no—
403#428—434no—
404#428—432no—
405#428—432no—
406#428—438no—
407#428—438no—
408#428—438no—
409#428—438no—
410#428C2×D4314yes—
411#428C2×D4314yescomplemented
412#427—434no—
413#427—434no—
414#427—438no—
415#427—438no—
416C2×#107—432no—
417C2×#107—438no—
418C2×#107C2×D4312yescomplemented
419C2×#106—432no—
420C2×#106—438no—
421C2×#106C2×D4312yescomplemented
422C43#6010911yescharacteristic, complemented, Sylow
423C2×#41—438no—
424C2×#41—432no—
425C2×#41—432no—
426C2×#41—438no—
427C2×#41—432no—
428C2×#41—432no—
429C22×Q8—431no—
430C22×D4—432no—
431C22×D4—431no—
432C23×C4—21no—
433C23×C4—432no—
434C23×C4—862no—
435C23×C4C22×D4311yescharacteristic
436#131—4332no—
437#131—4332no—
438C2×M16—438no—
439C2×M16—432no—
440C2×M16—432no—
441C2×M16—4332no—
442C2×M16—438no—
443C2×M16C4×D4318yescomplemented
444C2×M16C22×D4312yes—
445C2×M16C22×D4312yes—
446C22×C8—432no—
447C22×C8—438no—
448C22×C8C22×D4312yes—
449C4×Q8—862no—
450C4×Q8—862no—
451C4×Q8—864no—
452C4×Q8—864no—
453C4×Q8—862no—
454C4×Q8—862no—
455C4×D4—862no—
456C4×D4—862no—
457C4×D4—864no—
458C4×D4—864no—
459C4×D4—864no—
460C4×D4—864no—
461C4×D4—862no—
462C4×D4—862no—
463C4×D4—868no—
464C4×D4—868no—
465C4×D4—864no—
466C4×D4—864no—
467#117—21no—
468#117—21no—
469#117—432no—
470#117—432no—
471#117—432no—
472#117—432no—
473#117—434no—
474#117—438no—
475#117—434no—
476#117—864no—
477#117—864no—
478#117—864no—
479#117—861no—
480#117—861no—
481#117—861no—
482#117—861no—
483#117C22×D4312yes—
484#117C22×D4312yes—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—21no—
487C2×C4⋊C4—21no—
488C2×C4⋊C4—431no—
489C2×C4⋊C4—431no—
490C2×C4⋊C4—431no—
491C2×C4⋊C4—431no—
492C2×C4⋊C4—438no—
493C2×C4⋊C4—434no—
494C2×C4⋊C4—434no—
495C2×C4⋊C4—864no—
496C2×C4⋊C4—862no—
497C2×C4⋊C4C22×D4312yes—
498C2×C4⋊C4C22×D4312yes—
499C2×C4⋊C4C22×D4312yes—
500C2×C4⋊C4C22×D4311yescharacteristic
501C2×C4⋊C4C22×D4311yescharacteristic
502C2×C22⋊C4—21no—
503C2×C22⋊C4—864no—
504C2×C22⋊C4—862no—
505C2×C22⋊C4—861no—
506C2×C22⋊C4—861no—
507C2×C42—21no—
508C2×C42—864no—
509C2×C42—862no—
510C2×C42—861no—
511C2×C42—861no—
512#107—434no—
513#107—434no—
514#107—434no—
515#107—438no—
516#107—434no—
517#107C22×D4318yes—
518#106—434no—
519#106—434no—
520#106—438no—
521#106—434no—
522#106—434no—
523#106C22×D4318yes—
524C24—432no—
525C24D4×D4311yescharacteristic
526#41—4316no—
527#41—4316no—
528#41—438no—
529#41—438no—
530#41—438no—
531#41—438no—
532C2×Q8—438no—
533C2×Q8—432no—
534C2×Q8—432no—
535C2×D4—4316no—
536C2×D4—434no—
537C2×D4—434no—
538C2×D4—438no—
539C2×D4—432no—
540C2×D4—432no—
541C22×C4—22no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—82no—
547C22×C4—432no—
548C22×C4—438no—
549C22×C4—434no—
550C22×C4—438no—
551C22×C4—434no—
552C22×C4—864no—
553C22×C4—864no—
554C22×C4—868no—
555C22×C4—861no—
556C22×C4—861no—
557C22×C4—861no—
558C22×C4—861no—
559C22×C4—3444no—
560C22×C4C2×C4×D4314yes—
561C22×C4D4×D4311yescharacteristic
562C22×C4D4×D4311yescharacteristic
563C22×C4D4×D4311yescharacteristic
564C22×C4Q8×D4314yes—
565C22×C4C23×D4311yescharacteristic
566C22×C4C23×D4311yescharacteristic
567C22×C4C23×D4311yescharacteristic
568M16—438no—
569M16—438no—
570M16—4332no—
571M16C2×C4×D4318yes—
572M16C2×C4×D4318yescomplemented
573C2×C8—438no—
574C2×C8—434no—
575C2×C8—4332no—
576C2×C8C2×C4×D4318yescomplemented
577C2×C8C23×D4314yes—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—432no—
584C4⋊C4—432no—
585C4⋊C4—432no—
586C4⋊C4—432no—
587C4⋊C4—868no—
588C4⋊C4—864no—
589C4⋊C4—864no—
590C4⋊C4—861no—
591C4⋊C4—861no—
592C4⋊C4—861no—
593C4⋊C4—861no—
594C4⋊C4C23×D4312yes—
595C4⋊C4C23×D4314yes—
596C4⋊C4C23×D4312yes—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—864no—
600C22⋊C4—864no—
601C22⋊C4—868no—
602C22⋊C4—862no—
603C22⋊C4—862no—
604C22⋊C4—862no—
605C22⋊C4—862no—
606C42—22no—
607C42—22no—
608C42—864no—
609C42—864no—
610C42—868no—
611C42—862no—
612C42—862no—
613C42—862no—
614C42—862no—
615C23—41no—
616C23—41no—
617C23—434no—
618C23—438no—
619C23—1722no—
620C23—1722no—
621C23C4⋊C4×D4314yes—
622C23C2×D4×D4311yescharacteristic
623C23C2×D4×D4311yescharacteristic
624C23C2×D4×D4311yescharacteristic
625Q8—438no—
626Q8—438no—
627D4—4316no—
628D4—4316no—
629D4—438no—
630D4—438no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—44no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4—81no—
638C2×C4—81no—
639C2×C4—438no—
640C2×C4—434no—
641C2×C4—4316no—
642C2×C4—438no—
643C2×C4—438no—
644C2×C4—862no—
645C2×C4—862no—
646C2×C4—862no—
647C2×C4—862no—
648C2×C4—3448no—
649C2×C4—3444no—
650C2×C4—3444no—
651C2×C4—3441no—
652C2×C4—3441no—
653C2×C4—1722no—
654C2×C4—1722no—
655C2×C4C4⋊C4×D4314yes—
656C2×C4C4⋊C4×D4314yes—
657C2×C4C4⋊C4×D4314yes—
658C2×C4C22×C4×D4312yes—
659C2×C4C22×C4×D4312yes—
660C2×C4C22×C4×D4312yes—
661C2×C4C2×D4×D4311yescharacteristic
662C2×C4C2×D4×D4311yescharacteristic
663C2×C4C2×D4×D4311yescharacteristic
664C2×C4C2×Q8×D4312yes—
665C2×C4C2×Q8×D4312yes—
666C2×C4C2×Q8×D4312yes—
667C2×C4C24×D4311yescharacteristic
668C8—438no—
669C8C22×C4×D4318yes—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—44no—
677C22—438no—
678C22—864no—
679C22—864no—
680C22—1728no—
681C22C2×C4⋊C4×D4312yes—
682C22C2×C4⋊C4×D4312yes—
683C22C2×C4⋊C4×D4312yes—
684C22C22×D4×D4311yescharacteristic
685C4—44no—
686C4—42no—
687C4—42no—
688C4—438no—
689C4—1722no—
690C4—1722no—
691C4—1722no—
692C4—1722no—
693C4C2×C4⋊C4×D4312yes—
694C4C2×C4⋊C4×D4312yes—
695C4C2×C4⋊C4×D4312yes—
696C4C23×C4×D4311yescharacteristic
697C4C22×Q8×D4311yescharacteristic
698C2—22no—
699C2—22no—
700C2—22no—
701C2—868no—
702C2C22×C4⋊C4×D4311yescharacteristic
703C2#1914937111yescharacteristic
704C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC2×C43×#428C2
socleC22×C43C23×D4
prime radicalC22×#10621898C22
cosocleC2×C4×C43C25
hypercenterC2×#428D43
hypocenterC43#60109
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
4. #19143194C2semidirect
5. #19143191C2semidirect
6. #19143189C2semidirect
7. #19143186C2semidirect
8. #19143185C2semidirect
9. #19143184C2semidirect
10. #19143182C2semidirect
11. C2×#14582939C2semidirect
12. #428×D43C2semidirect
13. C2×C43×#428C2semidirect
15. #14583665C4semidirect
45. #14582941C22semidirect
46. #14582941C22semidirect
47. #14582940C22semidirect
48. #14582940C22semidirect
50. #14582939C22semidirect
51. #14582939C22semidirect
52. #14582939C22semidirect
53. #14582938C22semidirect
54. #14582938C22semidirect
55. #14582937C22semidirect
56. #14582936C22semidirect
57. #14582935C22semidirect
58. #14582934C22semidirect
59. C2×#13063258C22semidirect
60. #107×D43C22semidirect
61. C2×#13063256C22semidirect
62. #106×D43C22semidirect
67. C43×#428C22semidirect
68. C2×#107×C43C22semidirect
69. C2×#106×C43C22semidirect
81. #13063333C2×C4semidirect
82. #13063331C2×C4semidirect
83. C2×#10621877C2×C4semidirect
87. M16×D43C2×C4semidirect
151. C2×M16×C43C2×C4semidirect
216. M16×C43C22×C4semidirect
217. C2×C8×C43C22×C4semidirect
257. #10621877C22×C4semidirect
258. C2×C43⋊C8C22×C4semidirect
260. #10621872C22×C4semidirect
261. C8×D43C22×C4semidirect
358. C2×#428D43semidirect
411. #428C2×D43semidirect
418. C2×#107C2×D43semidirect
421. C2×#106C2×D43semidirect
422. C43#60109semidirect
443. C2×M16C4×D43semidirect
572. M16C2×C4×D43semidirect
576. C2×C8C2×C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145836652
#191477962
C2×#145833802
#191431942
#191431912
#191431892
#191431862
#191431852
#191431842
#191431822
C2×#145829392
#428×D432
C2×C43×#4282
#6010943