Finite Group Databasebeta

← #25097776

Subgroups — #25097776

Order 11008.

1914 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D43C211yesmaximal, characteristic, complemented
2C2×#14583411C211yesmaximal, characteristic
3C2×#14582917C211yesmaximal, characteristic, complemented
4C2×#14582915C211yesmaximal, characteristic, complemented
5#19136974C211yesmaximal, characteristic, complemented
6#19134896C218yesmaximal, complemented
7#19134304C211yesmaximal, characteristic, complemented
8C43×#1733C211yesmaximal, characteristic, complemented
9C22×#10621898C2211yescharacteristic
10C23×C4×D43C2211yescharacteristic
11C22×#10621877C2211yescharacteristic
12C22×#10621872—21no—
13C2×M16×D43—22no—
14C2×M16×D43—24no—
15C2×M16×D43—24no—
16C2×M16×D43C2214yescomplemented
17C22×C8×D43—21no—
18#14583411—22no—
19#14583411—21no—
20#14583411—21no—
21#14583411C412yescomplemented
22#14583411C412yescomplemented
23#14583411C2214yes—
24C2×#13063309—21no—
25C2×#13063305C412yescomplemented
26C2×#13063300C412yescomplemented
27C2×#13063295—21no—
28C2×C4×D172—22no—
29C2×#13063284C2211yescharacteristic
30#14582917—24no—
31#14582915—24no—
32C2×#13063253C2214yescomplemented
33C2×#13063251C2214yescomplemented
34#14582760—21no—
35#14582756—22no—
36#14582754—21no—
37C4×(C2×D43)⋊C4C2214yescomplemented
38#14582658C2214yescomplemented
39C22×M16×C43C2211yescharacteristic
40C2×#117×C43C2211yescharacteristic
41C2×#117×C43C2211yescharacteristic
42C43×#339C2214yescomplemented
43C24×D43D411yescharacteristic
44C2×#10621898—21no—
45C2×#10621898—21no—
46C2×#10621898—22no—
47C2×#10621898—22no—
48C2×#10621898—22no—
49C2×#10621898—22no—
50C2×#10621898C2×C412yes—
51C2×#10621898C2312yes—
52C22×Dic86C2×C411yescharacteristic
53C22×D172—22no—
54C22×D172C2×C411yescharacteristic
55C22×C22⋊D43—21no—
56C23×Dic43D411yescharacteristic
57C22×C4×D43—22no—
58C22×C4×D43—22no—
59C22×C4×D43—22no—
60C22×C4×D43—22no—
61C22×C4×D43—21no—
62C22×C4×D43C2×C412yes—
63C22×C4×D43C2×C411yescharacteristic
64C22×C4×D43C2×C411yescharacteristic
65C22×C4×D43D412yes—
66C22×C4×D43D412yes—
67C22×C4×D43D411yescharacteristic
68C22×C4×D43D411yescharacteristic
69C22×C4×D43C2312yes—
70C2×#10621877—22no—
71C2×#10621877—21no—
72C2×#10621877D414yescomplemented
73C2×#10621877C2312yes—
74C2×#10621872—28no—
75C2×#10621872—24no—
76M16×D43—216no—
77M16×D43—28no—
78M16×D43—28no—
79C22×C43⋊C8—21no—
80C2×C8×D43—28no—
81C2×C8×D43—24no—
82#13063309—22no—
83#13063309—22no—
84#13063309—24no—
85#13063305—22no—
86#13063305—22no—
87#13063305C2×C414yes—
88#13063305C2×C414yes—
89#13063300—22no—
90#13063300—22no—
91#13063300C2×C414yes—
92#13063300C2×C414yes—
93#13063295—22no—
94#13063295—22no—
95#13063295—24no—
96C4×D172—24no—
97C4×D172—24no—
98C4×D172—24no—
99C4×D172—24no—
100#13063284—22no—
101#13063284—22no—
102C2×C4⋊Dic43—22no—
103C2×C4⋊Dic43—21no—
104C2×C22⋊Dic43—21no—
105C2×(C2×D43)⋊C4—22no—
106C2×(C2×D43)⋊C4—22no—
107C2×(C2×D43)⋊C4—24no—
108C2×C4×Dic43C2312yes—
109#13063253—28no—
110#13063251—28no—
111C43⋊#95—24no—
112C23×C4×C43C2311yescharacteristic
113C2×M16×C43—22no—
114C2×M16×C43—21no—
115C2×M16×C43D414yescomplemented
116C2×M16×C43C2312yes—
117C22×C8×C43—21no—
118#117×C43—21no—
119#117×C43—21no—
120#117×C43—22no—
121#117×C43—22no—
122#117×C43C2×C412yes—
123#117×C43C2312yes—
124C2×C4⋊C4×C43—21no—
125C2×C4⋊C4×C43C2×C412yes—
126C2×C22⋊C4×C43—21no—
127C2×C22⋊C4×C43—21no—
128C2×C42×C43—21no—
129C2×C42×C43C2312yes—
130C24×C43C2×D411yescharacteristic
131C23×D43—22no—
132C23×D43—22no—
133C23×D43—21no—
134C23×D43—44no—
135C23×D43C22⋊C411yescharacteristic
136C23×D43C22⋊C412yes—
137C23×D43C22⋊C411yescharacteristic
138C23×D43C2×D412yes—
139C22×C4×C43—22no—
140C22×C4×C43—22no—
141C22×C4×C43C22×C411yescharacteristic
142C22×C4×C43C22×C411yescharacteristic
143C22×C4×C43C2×D411yescharacteristic
144C22×C4×C43C2×D411yescharacteristic
145C22×C4×C43C2×D412yes—
146C22×C4×C43C2×D412yes—
147C22×C4×C43C2×D411yescharacteristic
148C22×C4×C43#4112yes—
149C22×C4×C43#4112yes—
150C22×C4×C43C2411yescharacteristic
151C2×C22⋊D43—22no—
152C2×C22⋊D43—22no—
153C2×C22⋊D43—42no—
154C2×C22⋊D43—42no—
155C22×Dic43—21no—
156C22×Dic43—22no—
157C22×Dic43—22no—
158C22×Dic43—22no—
159C22×Dic43C22⋊C412yes—
160C22×Dic43C22⋊C411yescharacteristic
161C22×Dic43C22⋊C411yescharacteristic
162C22×Dic43C2×D412yes—
163#10621898—24no—
164#10621898—24no—
165#10621898—22no—
166#10621898—22no—
167#10621898—22no—
168#10621898—22no—
169#10621898—42no—
170#10621898—42no—
171#10621898—42no—
172#10621898—42no—
173C2×D172—21no—
174C2×D172—24no—
175C2×D172—24no—
176C2×D172—22no—
177C2×D172—22no—
178C2×D172—48no—
179C2×D172C22×C412yes—
180C2×C4×D43—22no—
181C2×C4×D43—22no—
182C2×C4×D43—24no—
183C2×C4×D43—22no—
184C2×C4×D43—24no—
185C2×C4×D43—22no—
186C2×C4×D43—22no—
187C2×C4×D43—24no—
188C2×C4×D43—22no—
189C2×C4×D43—24no—
190C2×C4×D43—24no—
191C2×C4×D43—22no—
192C2×C4×D43—24no—
193C2×C4×D43—22no—
194C2×C4×D43—22no—
195C2×C4×D43—22no—
196C2×C4×D43—22no—
197C2×C4×D43—22no—
198C2×C4×D43—22no—
199C2×C4×D43—22no—
200C2×C4×D43—42no—
201C2×C4×D43—42no—
202C2×C4×D43C22⋊C412yes—
203C2×C4×D43C22⋊C412yes—
204C2×C4×D43C22⋊C412yes—
205C2×C4×D43C22⋊C412yes—
206C2×C4×D43C22×C412yes—
207C2×C4×D43C22×C412yes—
208C2×C4×D43C2×D412yes—
209C2×C4×D43C2×D412yes—
210C2×Dic86—22no—
211C2×Dic86—22no—
212C2×Dic86—21no—
213C2×Dic86C22×C412yes—
214M16×C43—24no—
215M16×C43—22no—
216M16×C43C2×D414yescomplemented
217C2×C8×C43—24no—
218C2×C8×C43—22no—
219C4⋊C4×C43—22no—
220C4⋊C4×C43—42no—
221C4⋊C4×C43C22×C414yes—
222C22⋊C4×C43—22no—
223C22⋊C4×C43—22no—
224C22⋊C4×C43—42no—
225C42×C43—22no—
226C42×C43—22no—
227C42×C43—22no—
228C42×C43—22no—
229C22⋊Dic43—42no—
230(C2×D43)⋊C4—24no—
231(C2×D43)⋊C4—24no—
232(C2×D43)⋊C4—24no—
233(C2×D43)⋊C4—24no—
234(C2×D43)⋊C4—48no—
235C4⋊Dic43—24no—
236C4⋊Dic43—24no—
237C4⋊Dic43—42no—
238C4×Dic43—22no—
239C4×Dic43—22no—
240#10621877—24no—
241#10621877—22no—
242#10621877C2×D414yescomplemented
243C2×C43⋊C8—24no—
244C2×C43⋊C8—22no—
245#10621872—216no—
246C8×D43—216no—
247C23×C43—42no—
248C23×C43C2×C22⋊C411yescharacteristic
249C23×C43C2×C22⋊C411yescharacteristic
250C23×C43#12112yes—
251C23×C43#12112yes—
252C23×C43C22×D411yescharacteristic
253C22×D43—22no—
254C22×D43—24no—
255C22×D43—22no—
256C22×D43—22no—
257C22×D43—24no—
258C22×D43—22no—
259C22×D43—24no—
260C22×D43—24no—
261C22×D43—22no—
262C22×D43—42no—
263C22×D43—42no—
264C22×D43—42no—
265C22×D43—48no—
266C22×D43—48no—
267C22×D43—44no—
268C22×D43—42no—
269C22×D43C2×C22⋊C412yes—
270C22×D43C2×C22⋊C412yes—
271C2×C4×C43—24no—
272C2×C4×C43—44no—
273C2×C4×C43—44no—
274C2×C4×C43—42no—
275C2×C4×C43C2×C22⋊C411yescharacteristic
276C2×C4×C43C2×C22⋊C411yescharacteristic
277C2×C4×C43C4×D412yes—
278C2×C4×C43C4×D412yes—
279C2×C4×C43C4×D412yes—
280C2×C4×C43C4×D412yes—
281C2×C4×C43#12012yes—
282C2×C4×C43#12012yes—
283C2×C4×C43#12112yes—
284C2×C4×C43#12112yes—
285C2×C4×C43#12312yes—
286C2×C4×C43#12312yes—
287C2×C4×C43C23×C411yescharacteristic
288C2×C4×C43C22×D411yescharacteristic
289C2×C4×C43C22×D411yescharacteristic
290C2×C4×C43C22×D411yescharacteristic
291C2×C4×C43C2×#4111yescharacteristic
292C2×C4×C43C2×#4111yescharacteristic
293C22⋊D43—42no—
294C22⋊D43—42no—
295C22⋊D43—44no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—24no—
299C2×Dic43—22no—
300C2×Dic43—22no—
301C2×Dic43—22no—
302C2×Dic43—42no—
303C2×Dic43—44no—
304C2×Dic43—42no—
305C2×Dic43C2×C22⋊C412yes—
306C2×Dic43C2×C22⋊C412yes—
307D172—22no—
308D172—22no—
309D172—48no—
310D172—48no—
311D172—42no—
312C4×D43—22no—
313C4×D43—22no—
314C4×D43—22no—
315C4×D43—22no—
316C4×D43—22no—
317C4×D43—22no—
318C4×D43—22no—
319C4×D43—22no—
320C4×D43—24no—
321C4×D43—24no—
322C4×D43—24no—
323C4×D43—24no—
324C4×D43—42no—
325C4×D43—42no—
326C4×D43—44no—
327Dic86—22no—
328Dic86—22no—
329Dic86—42no—
330C8×C43—24no—
331C43⋊C8—24no—
332#20902—431nomaximal, Sylow
333C22×C43—22no—
334C22×C43—22no—
335C22×C43—22no—
336C22×C43—42no—
337C22×C43—42no—
338C22×C43#38612yes—
339C22×C43#38612yes—
340C22×C43C22×C22⋊C411yescharacteristic
341C22×C43C2×#12111yescharacteristic
342C22×C43C2×#12111yescharacteristic
343C2×D43—28no—
344C2×D43—22no—
345C2×D43—22no—
346C2×D43—22no—
347C2×D43—22no—
348C2×D43—22no—
349C2×D43—44no—
350C2×D43—44no—
351C2×D43—48no—
352C2×D43—44no—
353C2×D43—44no—
354C2×D43—42no—
355C2×D43—84no—
356C2×D43#42114yescomplemented
357C4×C43—44no—
358C4×C43—82no—
359C4×C43#38612yes—
360C4×C43#38612yes—
361C4×C43C2×C4×D411yescharacteristic
362C4×C43C2×C4×D411yescharacteristic
363C4×C43C2×#12011yescharacteristic
364C4×C43C2×#12311yescharacteristic
365Dic43—22no—
366Dic43—22no—
367Dic43—42no—
368Dic43—82no—
369C23×M16—431no—
370C2×#525—431no—
371C2×#421—431no—
372C2×#421—431no—
373#2280—431no—
374#1871—438no—
375#1733—431no—
376#1733D4311yescharacteristic, complemented
377C2×C43—21no—
378C2×C43—21no—
379C2×C43—22no—
380C2×C43—22no—
381C2×C43C2×#38611yescharacteristic
382C2×C43C2×#42112yes—
383D43—24no—
384D43—42no—
385D43—82no—
386C22×#41—431no—
387C24×C4—431no—
388C22×M16—431no—
389C22×M16—434no—
390C22×M16—861no—
391C22×M16—864no—
392C22×M16—862no—
393C22×M16—864no—
394C22×M16C2×D4311yescharacteristic
395C23×C8—861no—
396#525—434no—
397#525—432no—
398#525—432no—
399#525—861no—
400#525—861no—
401#525—862no—
402C2×#123—861no—
403C2×C22⋊Q8—432no—
404C2×#121—432no—
405C2×#120—861no—
406C2×C4×D4—862no—
407C2×#117—431no—
408C2×#117C2×D4311yescharacteristic
409C2×#117C2×D4311yescharacteristic
410#421—864no—
411#421—864no—
412C2×#104—434no—
413C2×#104—434no—
414#381—861no—
415#380—862no—
416#379—861no—
417C4×C22⋊C4—434no—
418#339—434no—
419#339C2×D4314yescomplemented
420C43#2090211yescharacteristic, complemented, Sylow
421C25—431no—
422C2×#41—432no—
423C2×#41—432no—
424C2×#41—861no—
425C2×#41—861no—
426C2×#41—862no—
427C2×#41—862no—
428C2×#41—862no—
429C2×#41—862no—
430C22×Q8—431no—
431C22×D4—431no—
432C22×D4—862no—
433C22×D4—861no—
434C23×C4—431no—
435C23×C4—432no—
436C23×C4—431no—
437C23×C4—431no—
438C23×C4—432no—
439C23×C4—431no—
440C23×C4—431no—
441C23×C4—432no—
442C23×C4—432no—
443C23×C4—862no—
444C23×C4—862no—
445C23×C4—862no—
446C23×C4—862no—
447C23×C4—861no—
448C23×C4C22×D4311yescharacteristic
449C2×M16—22no—
450C2×M16—21no—
451C2×M16—434no—
452C2×M16—432no—
453C2×M16—864no—
454C2×M16—868no—
455C2×M16—868no—
456C2×M16—8616no—
457C2×M16—862no—
458C2×M16—861no—
459C2×M16—868no—
460C2×M16D17214yescomplemented
461C2×M16C22×D4312yes—
462C22×C8—21no—
463C22×C8—864no—
464C22×C8—868no—
465C22×C8—861no—
466#123—862no—
467#123—862no—
468#123—864no—
469C22⋊Q8—434no—
470C22⋊Q8—434no—
471C22⋊Q8—862no—
472C22⋊Q8—862no—
473#121—434no—
474#121—434no—
475#121—862no—
476#121—862no—
477#120—862no—
478#120—862no—
479#120—864no—
480C4×D4—864no—
481C4×D4—864no—
482C4×D4—864no—
483C4×D4—864no—
484#117—21no—
485#117—21no—
486#117—22no—
487#117—22no—
488#117—862no—
489#117—862no—
490#117C4×D4312yes—
491#117C22×D4312yes—
492C2×C4⋊C4—21no—
493C2×C4⋊C4—862no—
494C2×C4⋊C4—861no—
495C2×C4⋊C4C4×D4312yes—
496C2×C22⋊C4—21no—
497C2×C22⋊C4—21no—
498C2×C22⋊C4—862no—
499C2×C22⋊C4—862no—
500C2×C22⋊C4—864no—
501C2×C22⋊C4—861no—
502C2×C42—21no—
503C2×C42—432no—
504C2×C42C22×D4312yes—
505#104—868no—
506#104—868no—
507#95—864no—
508C24—431no—
509C24—432no—
510C24—432no—
511C24—431no—
512C24—862no—
513C24—862no—
514C24—861no—
515C24—1724no—
516C24D4×D4311yescharacteristic
517#41—864no—
518#41—864no—
519#41—862no—
520#41—862no—
521#41—862no—
522#41—862no—
523#41—1722no—
524#41—1722no—
525#41—1722no—
526#41—1722no—
527C2×Q8—432no—
528C2×Q8—861no—
529C2×Q8—862no—
530C2×Q8—862no—
531C2×D4—432no—
532C2×D4—864no—
533C2×D4—864no—
534C2×D4—862no—
535C2×D4—862no—
536C2×D4—861no—
537C2×D4—862no—
538C2×D4—862no—
539C2×D4—1728no—
540C2×D4—1722no—
541C2×D4—1722no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—432no—
545C22×C4—431no—
546C22×C4—431no—
547C22×C4—432no—
548C22×C4—432no—
549C22×C4—432no—
550C22×C4—432no—
551C22×C4—432no—
552C22×C4—432no—
553C22×C4—432no—
554C22×C4—432no—
555C22×C4—432no—
556C22×C4—862no—
557C22×C4—862no—
558C22×C4—864no—
559C22×C4—862no—
560C22×C4—862no—
561C22×C4—864no—
562C22×C4—862no—
563C22×C4—862no—
564C22×C4—862no—
565C22×C4—864no—
566C22×C4—862no—
567C22×C4—864no—
568C22×C4—864no—
569C22×C4—864no—
570C22×C4—862no—
571C22×C4—862no—
572C22×C4—862no—
573C22×C4—862no—
574C22×C4—862no—
575C22×C4—862no—
576C22×C4—861no—
577C22×C4—862no—
578C22×C4—862no—
579C22×C4—862no—
580C22×C4—1722no—
581C22×C4—1722no—
582C22×C4C2×C4×D4311yescharacteristic
583C22×C4C2×C4×D4311yescharacteristic
584C22×C4C2×D17212yes—
585C22×C4#1062189812yes—
586C22×C4D4×D4311yescharacteristic
587C22×C4D4×D4311yescharacteristic
588C22×C4D4×D4311yescharacteristic
589C22×C4D4×D4312yes—
590C22×C4#1062190212yes—
591C22×C4C23×D4311yescharacteristic
592M16—24no—
593M16—22no—
594M16—434no—
595M16—8616no—
596M16—864no—
597M16—862no—
598M16C2×D17214yescomplemented
599C2×C8—24no—
600C2×C8—22no—
601C2×C8—8616no—
602C2×C8—864no—
603C2×C8—862no—
604C4⋊C4—22no—
605C4⋊C4—42no—
606C4⋊C4—864no—
607C4⋊C4—864no—
608C4⋊C4—1722no—
609C4⋊C4C2×C4×D4314yes—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—42no—
613C22⋊C4—864no—
614C22⋊C4—864no—
615C22⋊C4—864no—
616C22⋊C4—864no—
617C22⋊C4—1728no—
618C22⋊C4—1722no—
619C42—22no—
620C42—22no—
621C42—22no—
622C42—22no—
623C42—862no—
624C42—862no—
625C23—42no—
626C23—432no—
627C23—432no—
628C23—864no—
629C23—864no—
630C23—864no—
631C23—862no—
632C23—862no—
633C23—862no—
634C23—864no—
635C23—862no—
636C23—862no—
637C23—1722no—
638C23—1722no—
639C23—1722no—
640C23—1724no—
641C23—1728no—
642C23—1728no—
643C23—1722no—
644C23C22⋊C4×D4311yescharacteristic
645C23C22⋊C4×D4311yescharacteristic
646C23#1306329812yes—
647C23#1306330012yes—
648C23C2×D4×D4311yescharacteristic
649Q8—862no—
650Q8—862no—
651Q8—1722no—
652D4—862no—
653D4—862no—
654D4—1728no—
655D4—1728no—
656D4—1722no—
657D4—1722no—
658D4—1724no—
659D4—1722no—
660C2×C4—24no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—432no—
665C2×C4—432no—
666C2×C4—862no—
667C2×C4—862no—
668C2×C4—864no—
669C2×C4—862no—
670C2×C4—862no—
671C2×C4—862no—
672C2×C4—862no—
673C2×C4—862no—
674C2×C4—862no—
675C2×C4—862no—
676C2×C4—862no—
677C2×C4—862no—
678C2×C4—862no—
679C2×C4—864no—
680C2×C4—864no—
681C2×C4—864no—
682C2×C4—864no—
683C2×C4—862no—
684C2×C4—1724no—
685C2×C4—1722no—
686C2×C4—1722no—
687C2×C4—1722no—
688C2×C4—1722no—
689C2×C4—1724no—
690C2×C4C22⋊C4×D4311yescharacteristic
691C2×C4C22⋊C4×D4311yescharacteristic
692C2×C4#1306328712yes—
693C2×C4#1306328712yes—
694C2×C4C4×D17212yes—
695C2×C4C4×D17212yes—
696C2×C4#1306329512yes—
697C2×C4#1306329512yes—
698C2×C4#1306329812yes—
699C2×C4#1306330012yes—
700C2×C4#1306331012yes—
701C2×C4#1306331012yes—
702C2×C4C22×C4×D4311yescharacteristic
703C2×C4C2×D4×D4311yescharacteristic
704C2×C4C2×D4×D4311yescharacteristic
705C2×C4C22×D17211yescharacteristic
706C2×C4C2×#1062189811yescharacteristic
707C2×C4C2×#1062190211yescharacteristic
708C8—24no—
709C8—864no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—42no—
714C22—42no—
715C22—434no—
716C22—868no—
717C22—862no—
718C22—862no—
719C22—862no—
720C22—862no—
721C22—862no—
722C22—3444no—
723C22—1724no—
724C22—1724no—
725C22—1728no—
726C22—1724no—
727C22—1724no—
728C22—1722no—
729C22#1458277712yes—
730C22#1458277712yes—
731C22C2×C22⋊C4×D4311yescharacteristic
732C22C2×#1306329811yescharacteristic
733C22C2×#1306330011yescharacteristic
734C4—44no—
735C4—82no—
736C4—862no—
737C4—862no—
738C4—3442no—
739C4—1722no—
740C4#1458277712yes—
741C4#1458277712yes—
742C4C2×#1306328711yescharacteristic
743C4C2×C4×D17211yescharacteristic
744C4C2×#1306329511yescharacteristic
745C4C2×#1306331011yescharacteristic
746C2—21no—
747C2—21no—
748C2—22no—
749C2—22no—
750C2—864no—
751C2—3442no—
752C2—1722no—
753C2C2×#1458277711yescharacteristic
754C2#421×D4312yes—
subgroupG/H
centerC2×C4C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1733C2
socleC22×C43C22×C22⋊C4
prime radicalC2×#14583411C2
cosocleC22×C4×C43C24
hypercenter#1733D43
hypocenterC43#20902
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #1733

Complements

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

NH ≅ G/Ntype
1. C22×M16×D43C2semidirect
3. C2×#14582917C2semidirect
4. C2×#14582915C2semidirect
5. #19136974C2semidirect
6. #19134896C2semidirect
7. #19134304C2semidirect
8. C43×#1733C2semidirect
16. C2×M16×D43C22semidirect
21. #14583411C4semidirect
22. #14583411C4semidirect
25. C2×#13063305C4semidirect
26. C2×#13063300C4semidirect
32. C2×#13063253C22semidirect
33. C2×#13063251C22semidirect
37. C4×(C2×D43)⋊C4C22semidirect
38. #14582658C22semidirect
42. C43×#339C22semidirect
72. C2×#10621877D4semidirect
115. C2×M16×C43D4semidirect
216. M16×C43C2×D4semidirect
242. #10621877C2×D4semidirect
356. C2×D43#421semidirect
376. #1733D43semidirect
419. #339C2×D43semidirect
420. C43#20902semidirect
460. C2×M16D172semidirect
598. M16C2×D172semidirect

Maximal subgroups

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

subgroupindex
C22×M16×D432
C2×#145834112
C2×#145829172
C2×#145829152
#191369742
#191348962
#191343042
C43×#17332
#2090243