Finite Group Databasebeta

← #25097746

Subgroups — #25097746

Order 11008.

2230 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D43C211yesmaximal, characteristic, complemented
2C22×C4×D172C211yesmaximal, characteristic
3C2×#14582862C211yesmaximal, characteristic, complemented
4C2×#14582862C211yesmaximal, characteristic, complemented
5C2×#14582862C211yesmaximal, characteristic, complemented
6#19134891C214yesmaximal, complemented
7#19134886C214yesmaximal, complemented
8#19134289C211yesmaximal, characteristic, complemented
9C43×#1728C211yesmaximal, characteristic, complemented
10C23×D172C411yescharacteristic
11C23×C4×D43C2211yescharacteristic
12C23×C4×D43C2211yescharacteristic
13C22×#10621877C2211yescharacteristic
14C22×#10621877C2211yescharacteristic
15C22×#10621872C2212yescomplemented
16C2×M16×D43—24no—
17C2×M16×D43—24no—
18C2×M16×D43—24no—
19C22×C8×D43C2212yescomplemented
20C2×C4×D172—24no—
21C2×C4×D172—24no—
22C2×C4×D172C412yes—
23C2×C4×D172C412yes—
24C2×C4×D172C2212yes—
25C2×C4×D172C2212yes—
26C22×C4⋊Dic43C411yescharacteristic
27C22×(C2×D43)⋊C4C411yescharacteristic
28C22×(C2×D43)⋊C4C411yescharacteristic
29#14582862—24no—
30#14582862—24no—
31#14582862—24no—
32C2×(C2×D43)⋊C8C2212yescomplemented
33C2×(C2×D43)⋊C8C2214yescomplemented
34C2×(C2×D43)⋊C8C2214yescomplemented
35C2×(C2×D43)⋊C8C2212yescomplemented
36#14582654C2214yescomplemented
37C22×M16×C43C2211yescharacteristic
38C22×M16×C43C2211yescharacteristic
39C22×C42×C43C2211yescharacteristic
40C43×#336C2214yescomplemented
41C24×D43C2×C411yescharacteristic
42C24×D43C2×C411yescharacteristic
43C22×D172—24no—
44C22×D172—28no—
45C22×D172C2×C412yes—
46C22×D172C2×C412yes—
47C23×Dic43C2×C411yescharacteristic
48C23×Dic43C2×C411yescharacteristic
49C22×C4×D43—22no—
50C22×C4×D43—22no—
51C22×C4×D43—22no—
52C22×C4×D43—22no—
53C22×C4×D43—22no—
54C22×C4×D43—22no—
55C22×C4×D43—22no—
56C22×C4×D43—22no—
57C22×C4×D43—22no—
58C22×C4×D43—22no—
59C22×C4×D43C2×C412yes—
60C22×C4×D43C2×C411yescharacteristic
61C22×C4×D43C2×C411yescharacteristic
62C22×C4×D43D414yes—
63C22×C4×D43D414yes—
64C22×C4×D43C2312yes—
65C22×C4×D43C2311yescharacteristic
66C22×C4×D43C2311yescharacteristic
67C2×#10621877—22no—
68C2×#10621877—22no—
69C2×#10621877—22no—
70C2×#10621877—22no—
71C2×#10621877—22no—
72C2×#10621877D414yescomplemented
73C2×#10621872—24no—
74C2×#10621872—24no—
75C2×#10621872—24no—
76M16×D43—232no—
77C22×C43⋊C8C2312yes—
78C22×C43⋊C8C2312yes—
79C2×C8×D43—24no—
80C2×C8×D43—24no—
81C2×C8×D43—24no—
82C4×D172—28no—
83C4×D172—28no—
84C4×D172—24no—
85C4×D172—24no—
86C4×D172—24no—
87C4×D172—24no—
88C2×C4⋊Dic43—24no—
89C2×C4⋊Dic43C2×C412yes—
90C2×C4⋊Dic43C2×C412yes—
91C2×(C2×D43)⋊C4—24no—
92C2×(C2×D43)⋊C4—24no—
93C2×(C2×D43)⋊C4C2×C412yes—
94C2×(C2×D43)⋊C4C2×C412yes—
95C2×(C2×D43)⋊C4C2×C412yes—
96C2×(C2×D43)⋊C4C2×C412yes—
97(C2×D43)⋊C8—24no—
98(C2×D43)⋊C8—24no—
99(C2×D43)⋊C8—28no—
100(C2×D43)⋊C8—28no—
101C23×C4×C43C2×C411yescharacteristic
102C23×C4×C43C2×C411yescharacteristic
103C23×C4×C43C2311yescharacteristic
104C2×M16×C43—22no—
105C2×M16×C43—22no—
106C2×M16×C43—22no—
107C2×M16×C43—22no—
108C2×M16×C43—22no—
109C2×M16×C43D414yescomplemented
110C22×C8×C43C2312yes—
111C22×C8×C43C2312yes—
112C2×C42×C43—22no—
113C2×C42×C43—22no—
114C2×C42×C43C2×C412yes—
115C2×C42×C43C2312yes—
116C24×C43C22×C411yescharacteristic
117C23×D43—22no—
118C23×D43—22no—
119C23×D43—22no—
120C23×D43—24no—
121C23×D43—24no—
122C23×D43—22no—
123C23×D43—22no—
124C23×D43—42no—
125C23×D43—42no—
126C23×D43C22⋊C414yes—
127C23×D43C22×C411yescharacteristic
128C23×D43C22×C412yes—
129C23×D43C22×C411yescharacteristic
130C22×C4×C43—24no—
131C22×C4×C43—22no—
132C22×C4×C43—22no—
133C22×C4×C43—42no—
134C22×C4×C43C22×C412yes—
135C22×C4×C43C22×C412yes—
136C22×C4×C43C22×C411yescharacteristic
137C22×C4×C43C2×D412yes—
138C22×C4×C43C2×D412yes—
139C22×C4×C43C2×D412yes—
140C22×C4×C43C2×D412yes—
141C22×C4×C43#4112yes—
142C22×C4×C43#4112yes—
143C22×C4×C43C2411yescharacteristic
144C22×Dic43—22no—
145C22×Dic43—22no—
146C22×Dic43—22no—
147C22×Dic43—22no—
148C22×Dic43—22no—
149C22×Dic43C22⋊C414yes—
150C22×Dic43C22×C412yes—
151C22×Dic43C22×C411yescharacteristic
152C22×Dic43C22×C411yescharacteristic
153C2×D172—232no—
154C2×D172—24no—
155C2×D172—24no—
156C2×D172—24no—
157C2×D172—24no—
158C2×D172—24no—
159C2×D172M1618yescomplemented
160C2×C4×D43—22no—
161C2×C4×D43—22no—
162C2×C4×D43—22no—
163C2×C4×D43—22no—
164C2×C4×D43—28no—
165C2×C4×D43—28no—
166C2×C4×D43—28no—
167C2×C4×D43—28no—
168C2×C4×D43—21no—
169C2×C4×D43—21no—
170C2×C4×D43—21no—
171C2×C4×D43—21no—
172C2×C4×D43—21no—
173C2×C4×D43—21no—
174C2×C4×D43—21no—
175C2×C4×D43—21no—
176C2×C4×D43—24no—
177C2×C4×D43—24no—
178C2×C4×D43—24no—
179C2×C4×D43—22no—
180C2×C4×D43—22no—
181C2×C4×D43—22no—
182C2×C4×D43—22no—
183C2×C4×D43—22no—
184C2×C4×D43—22no—
185C2×C4×D43—44no—
186C2×C4×D43—44no—
187C2×C4×D43—44no—
188C2×C4×D43—44no—
189C2×C4×D43C22⋊C414yes—
190C2×C4×D43C22⋊C414yes—
191C2×C4×D43C2×D412yes—
192C2×C4×D43C2×D412yes—
193C2×C4×D43C2×D412yes—
194C2×C4×D43C2×D412yes—
195M16×C43—28no—
196M16×C43—44no—
197C2×C8×C43—22no—
198C2×C8×C43—22no—
199C2×C8×C43—22no—
200C2×C8×C43—22no—
201C2×C8×C43—22no—
202C2×C8×C43C2×D414yescomplemented
203C42×C43—24no—
204C42×C43—22no—
205C42×C43—22no—
206(C2×D43)⋊C4—24no—
207(C2×D43)⋊C4—24no—
208(C2×D43)⋊C4—24no—
209(C2×D43)⋊C4—24no—
210C4⋊Dic43—24no—
211C4⋊Dic43—24no—
212#10621877—28no—
213#10621877—44no—
214C2×C43⋊C8—22no—
215C2×C43⋊C8—22no—
216C2×C43⋊C8—22no—
217C2×C43⋊C8—22no—
218C2×C43⋊C8—22no—
219C2×C43⋊C8C2×D414yescomplemented
220#10621872—216no—
221C8×D43—216no—
222C23×C43—22no—
223C23×C43—22no—
224C23×C43C2×C22⋊C412yes—
225C23×C43C4×D412yes—
226C23×C43C4×D412yes—
227C23×C43C23×C411yescharacteristic
228C22×D43—21no—
229C22×D43—21no—
230C22×D43—22no—
231C22×D43—28no—
232C22×D43—22no—
233C22×D43—22no—
234C22×D43—21no—
235C22×D43—22no—
236C22×D43—21no—
237C22×D43—22no—
238C22×D43—22no—
239C22×D43—22no—
240C22×D43—22no—
241C22×D43—22no—
242C22×D43—28no—
243C22×D43—28no—
244C22×D43—44no—
245C22×D43—48no—
246C22×D43—48no—
247C22×D43—48no—
248C22×D43—48no—
249C22×D43—44no—
250C22×D43—44no—
251C22×D43C2×C22⋊C412yes—
252C22×D43C2×C22⋊C412yes—
253C22×D43C2×M1614yes—
254C22×D43C2×M1614yescomplemented
255C2×C4×C43—28no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—24no—
260C2×C4×C43—44no—
261C2×C4×C43C2×C22⋊C412yes—
262C2×C4×C43C4×D412yes—
263C2×C4×C43C4×D412yes—
264C2×C4×C43#12014yes—
265C2×C4×C43#12114yes—
266C2×C4×C43#12114yes—
267C2×C4×C43#12314yes—
268C2×C4×C43C2×M1614yescomplemented
269C2×C4×C43C22×D411yescharacteristic
270C2×C4×C43C22×D411yescharacteristic
271C2×C4×C43C22×D411yescharacteristic
272C2×C4×C43C22×D411yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—28no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—22no—
283C2×Dic43—44no—
284C2×Dic43C2×C22⋊C412yes—
285C2×Dic43C2×C22⋊C412yes—
286D172—216no—
287D172—216no—
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—42no—
299C4×D43—42no—
300C4×D43—42no—
301C4×D43—42no—
302C4×D43—48no—
303C8×C43—24no—
304C8×C43—42no—
305C43⋊C8—24no—
306C43⋊C8—42no—
307#20898—431nomaximal, Sylow
308C22×C43—22no—
309C22×C43—22no—
310C22×C43—24no—
311C22×C43—24no—
312C22×C43#38614yes—
313C22×C43C22×C22⋊C411yescharacteristic
314C22×C43C2×C4×D411yescharacteristic
315C22×C43C2×C4×D411yescharacteristic
316C22×C43C22×M1612yes—
317C22×C43#56812yes—
318C2×D43—22no—
319C2×D43—24no—
320C2×D43—24no—
321C2×D43—22no—
322C2×D43—22no—
323C2×D43—24no—
324C2×D43—22no—
325C2×D43—24no—
326C2×D43—24no—
327C2×D43—22no—
328C2×D43—416no—
329C2×D43—416no—
330C2×D43—42no—
331C2×D43—42no—
332C2×D43—42no—
333C2×D43—42no—
334C2×D43—42no—
335C2×D43—42no—
336C2×D43#40714yescomplemented
337C4×C43—24no—
338C4×C43—42no—
339C4×C43#38614yes—
340C4×C43C2×#12011yescharacteristic
341C4×C43C2×#12111yescharacteristic
342C4×C43C2×#12111yescharacteristic
343C4×C43C2×#12311yescharacteristic
344Dic43—22no—
345Dic43—22no—
346Dic43—42no—
347C23×M16—431no—
348C22×C4×D4—431no—
349C2×#407—431no—
350C2×#407—431no—
351C2×#407—431no—
352#1870—434no—
353#1869—434no—
354#1728—431no—
355#1728D4311yescharacteristic, complemented
356C2×C43—24no—
357C2×C43C2×#38611yescharacteristic
358C2×C43C2×#40711yescharacteristic
359C2×C43#287911yescharacteristic
360C2×C43D4×M1612yes—
361C2×C43D4×M1612yes—
362D43—24no—
363D43—42no—
364D43—44no—
365C23×D4—431no—
366C24×C4—431no—
367C24×C4—431no—
368C22×M16—431no—
369C22×M16—431no—
370C22×M16—432no—
371C22×M16—864no—
372C22×M16—864no—
373C22×M16—864no—
374C22×M16C2×D4311yescharacteristic
375C22×M16C2×D4311yescharacteristic
376C23×C8—432no—
377C2×C4×D4—432no—
378C2×C4×D4—432no—
379C2×C4×D4—432no—
380C2×C4×D4—432no—
381C2×C4×D4—864no—
382C2×C4×D4—864no—
383C22×C4⋊C4—431no—
384C22×C22⋊C4—431no—
385C22×C22⋊C4—431no—
386C22×C42C2×D4311yescharacteristic
387#407—864no—
388#407—864no—
389#407—864no—
390C2×C22⋊C8—432no—
391C2×C22⋊C8—434no—
392C2×C22⋊C8—434no—
393C2×C22⋊C8—432no—
394#336—434no—
395#336C2×D4314yescomplemented
396C43#2089811yescharacteristic, complemented, Sylow
397C25—431no—
398C25—431no—
399C22×D4—432no—
400C22×D4—432no—
401C22×D4—868no—
402C22×D4—864no—
403C23×C4—431no—
404C23×C4—431no—
405C23×C4—431no—
406C23×C4—434no—
407C23×C4—434no—
408C23×C4—431no—
409C23×C4—431no—
410C23×C4—431no—
411C23×C4—432no—
412C23×C4—432no—
413C23×C4—862no—
414C23×C4—862no—
415C23×C4—862no—
416C23×C4—862no—
417C23×C4—862no—
418C23×C4—862no—
419C23×C4—862no—
420C23×C4—862no—
421C23×C4—862no—
422C23×C4—862no—
423C23×C4C4×D4311yescharacteristic
424C23×C4C4×D4311yescharacteristic
425C23×C4C22×D4311yescharacteristic
426C2×M16—22no—
427C2×M16—22no—
428C2×M16—22no—
429C2×M16—22no—
430C2×M16—22no—
431C2×M16—434no—
432C2×M16—864no—
433C2×M16—864no—
434C2×M16—8632no—
435C2×M16—862no—
436C2×M16—862no—
437C2×M16—862no—
438C2×M16—862no—
439C2×M16—862no—
440C2×M16—864no—
441C2×M16D17214yescomplemented
442C22×C8—432no—
443C22×C8—432no—
444C22×C8—864no—
445C22×C8—864no—
446C22×C8—864no—
447C22×C8C22×D4312yes—
448C22×C8C22×D4312yes—
449C4×D4—868no—
450C4×D4—868no—
451C4×D4—864no—
452C4×D4—864no—
453C4×D4—864no—
454C4×D4—864no—
455C2×C4⋊C4—432no—
456C2×C4⋊C4—432no—
457C2×C4⋊C4—864no—
458C2×C22⋊C4—432no—
459C2×C22⋊C4—432no—
460C2×C22⋊C4—432no—
461C2×C22⋊C4—432no—
462C2×C22⋊C4—864no—
463C2×C22⋊C4—864no—
464C2×C42—22no—
465C2×C42—22no—
466C2×C42C4×D4312yes—
467C2×C42C22×D4312yes—
468C22⋊C8—868no—
469C22⋊C8—864no—
470C22⋊C8—864no—
471C22⋊C8—868no—
472C24—431no—
473C24—431no—
474C24—432no—
475C24—434no—
476C24—864no—
477C24—864no—
478C24—862no—
479C24—862no—
480C24—862no—
481C24—862no—
482C24—862no—
483C24—1722no—
484C24—1722no—
485C24C2×C4×D4311yescharacteristic
486C2×D4—438no—
487C2×D4—864no—
488C2×D4—864no—
489C2×D4—864no—
490C2×D4—864no—
491C2×D4—8632no—
492C2×D4—864no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—42no—
497C22×C4—434no—
498C22×C4—431no—
499C22×C4—431no—
500C22×C4—434no—
501C22×C4—434no—
502C22×C4—432no—
503C22×C4—432no—
504C22×C4—432no—
505C22×C4—432no—
506C22×C4—432no—
507C22×C4—862no—
508C22×C4—862no—
509C22×C4—862no—
510C22×C4—862no—
511C22×C4—862no—
512C22×C4—862no—
513C22×C4—868no—
514C22×C4—868no—
515C22×C4—868no—
516C22×C4—868no—
517C22×C4—861no—
518C22×C4—861no—
519C22×C4—861no—
520C22×C4—861no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—862no—
526C22×C4—862no—
527C22×C4—862no—
528C22×C4—864no—
529C22×C4—864no—
530C22×C4—864no—
531C22×C4—862no—
532C22×C4—862no—
533C22×C4—862no—
534C22×C4—862no—
535C22×C4—862no—
536C22×C4—862no—
537C22×C4—1724no—
538C22×C4—1724no—
539C22×C4—1724no—
540C22×C4—1724no—
541C22×C4C2×C4×D4312yes—
542C22×C4C2×C4×D4312yes—
543C22×C4C2×C4×D4311yescharacteristic
544C22×C4C2×D17212yes—
545C22×C4#1062189812yes—
546C22×C4D4×D4312yes—
547C22×C4D4×D4312yes—
548C22×C4D4×D4312yes—
549C22×C4#1062190212yes—
550C22×C4C23×D4311yescharacteristic
551M16—28no—
552M16—44no—
553M16—8616no—
554M16—868no—
555M16—1724no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—434no—
562C2×C8—8616no—
563C2×C8—862no—
564C2×C8—862no—
565C2×C8—862no—
566C2×C8—862no—
567C2×C8—862no—
568C2×C8C2×D17214yescomplemented
569C4⋊C4—864no—
570C4⋊C4—864no—
571C22⋊C4—864no—
572C22⋊C4—864no—
573C22⋊C4—864no—
574C22⋊C4—864no—
575C42—24no—
576C42—22no—
577C42—22no—
578C23—22no—
579C23—22no—
580C23—432no—
581C23—434no—
582C23—432no—
583C23—434no—
584C23—868no—
585C23—868no—
586C23—861no—
587C23—861no—
588C23—862no—
589C23—862no—
590C23—862no—
591C23—861no—
592C23—862no—
593C23—861no—
594C23—862no—
595C23—862no—
596C23—862no—
597C23—862no—
598C23—862no—
599C23—868no—
600C23—1724no—
601C23—1728no—
602C23—1728no—
603C23—1728no—
604C23—1728no—
605C23—1724no—
606C23—1724no—
607C23C22⋊C4×D4312yes—
608C23#1306328712yes—
609C23C4×D17212yes—
610C23C22×C4×D4311yescharacteristic
611D4—8616no—
612D4—8616no—
613C2×C4—28no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—44no—
619C2×C4—432no—
620C2×C4—432no—
621C2×C4—861no—
622C2×C4—861no—
623C2×C4—861no—
624C2×C4—861no—
625C2×C4—868no—
626C2×C4—862no—
627C2×C4—862no—
628C2×C4—862no—
629C2×C4—862no—
630C2×C4—862no—
631C2×C4—862no—
632C2×C4—862no—
633C2×C4—862no—
634C2×C4—868no—
635C2×C4—868no—
636C2×C4—862no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—1724no—
640C2×C4—1722no—
641C2×C4—1722no—
642C2×C4—1722no—
643C2×C4—1722no—
644C2×C4—1728no—
645C2×C4C22⋊C4×D4312yes—
646C2×C4#1306328712yes—
647C2×C4C4×D17212yes—
648C2×C4#1306329514yes—
649C2×C4#1306329814yes—
650C2×C4#1306330014yes—
651C2×C4#1306331014yes—
652C2×C4M16×D4314yescomplemented
653C2×C4C2×D4×D4311yescharacteristic
654C2×C4C2×D4×D4311yescharacteristic
655C2×C4C2×D4×D4311yescharacteristic
656C2×C4C22×D17211yescharacteristic
657C2×C4C2×#1062189811yescharacteristic
658C2×C4C2×#1062190211yescharacteristic
659C8—24no—
660C8—42no—
661C8—864no—
662C8—1722no—
663C22—22no—
664C22—22no—
665C22—24no—
666C22—24no—
667C22—434no—
668C22—862no—
669C22—864no—
670C22—864no—
671C22—862no—
672C22—864no—
673C22—862no—
674C22—862no—
675C22—864no—
676C22—864no—
677C22—862no—
678C22—17216no—
679C22—17216no—
680C22—1722no—
681C22—1722no—
682C22—1722no—
683C22—1722no—
684C22—1722no—
685C22—1722no—
686C22#1458277714yes—
687C22C2×C22⋊C4×D4311yescharacteristic
688C22C2×#1306328711yescharacteristic
689C22C2×C4×D17211yescharacteristic
690C22C2×M16×D4312yes—
691C22#1458366512yes—
692C4—24no—
693C4—42no—
694C4—862no—
695C4—862no—
696C4—1722no—
697C4#1458277714yes—
698C4C2×#1306329511yescharacteristic
699C4C2×#1306329811yescharacteristic
700C4C2×#1306330011yescharacteristic
701C4C2×#1306331011yescharacteristic
702C2—24no—
703C2—864no—
704C2—1722no—
705C2—1724no—
706C2C2×#1458277711yescharacteristic
707C2#407×D4311yescharacteristic
708C2#1914303811yescharacteristic
709C2#1914333012yes—
710C2M16×D17212yes—
subgroupG/H
center, FrattiniC22×C4C23×D43
commutator, socleC23×C43C23×C4
FittingC43×#1728C2
prime radicalC23×D172C4
cosocleC22×C4×C43C24
hypercenter#1728D43
hypocenterC43#20898
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #1728

Complements

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

NH ≅ G/Ntype
1. C22×M16×D43C2semidirect
3. C2×#14582862C2semidirect
4. C2×#14582862C2semidirect
5. C2×#14582862C2semidirect
6. #19134891C2semidirect
7. #19134886C2semidirect
8. #19134289C2semidirect
9. C43×#1728C2semidirect
15. C22×#10621872C22semidirect
19. C22×C8×D43C22semidirect
32. C2×(C2×D43)⋊C8C22semidirect
33. C2×(C2×D43)⋊C8C22semidirect
34. C2×(C2×D43)⋊C8C22semidirect
35. C2×(C2×D43)⋊C8C22semidirect
36. #14582654C22semidirect
40. C43×#336C22semidirect
72. C2×#10621877D4semidirect
109. C2×M16×C43D4semidirect
159. C2×D172M16semidirect
202. C2×C8×C43C2×D4semidirect
219. C2×C43⋊C8C2×D4semidirect
254. C22×D43C2×M16semidirect
268. C2×C4×C43C2×M16semidirect
336. C2×D43#407semidirect
355. #1728D43semidirect
395. #336C2×D43semidirect
396. C43#20898semidirect
441. C2×M16D172semidirect
568. C2×C8C2×D172semidirect
652. C2×C4M16×D43semidirect

Maximal subgroups

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

subgroupindex
C22×M16×D432
C22×C4×D1722
C2×#145828622
#191348912
#191348862
#191342892
C43×#17282
#2089843