Finite Group Databasebeta

← C151×#24144 #50329069

Subgroups — C151×#24144 #50329069

Order 38656.

1278 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3508×C151C211yesmaximal, characteristic, complemented
2#3077×C151C211yesmaximal, characteristic, complemented
3C4×AGL(1,ℤ/8)×C151C211yesmaximal, characteristic, complemented
4#2541×C151C211yesmaximal, characteristic, complemented
5#2037×C151C212yesmaximal, complemented
6#2002×C151C212yesmaximal, complemented
7#1986×C151C211yesmaximal, characteristic, complemented
8#1965×C151C211yesmaximal, characteristic, complemented
9#1887×C151C212yesmaximal, complemented
10#1856×C151C212yesmaximal, complemented
11#1806×C151C211yesmaximal, characteristic, complemented
12C2×AGL(1,ℤ/8)×C151C2211yescharacteristic
13#559×C151—21no—
14#559×C151—21no—
15#550×C151—21no—
16#550×C151—21no—
17#546×C151—22no—
18#546×C151—22no—
19#540×C151—22no—
20#535×C151C2212yes—
21#533×C151C2211yescharacteristic
22#532×C151—21no—
23#532×C151—21no—
24C2×#127×C151C2212yes—
25C2×#127×C151C2211yescharacteristic
26C2×#121×C151—22no—
27#518×C151C2212yes—
28C4×#41×C151C2211yescharacteristic
29C2×C4×D4×C151C2211yescharacteristic
30#478×C151—22no—
31#476×C151—21no—
32#474×C151—21no—
33#442×C151—21no—
34#440×C151—21no—
35C4×SD16×C151—21no—
36C4×D8×C151—21no—
37#428×C151C2211yescharacteristic
38#428×C151C2212yes—
39#423×C151C2211yescharacteristic
40C2×#104×C151C2212yes—
41#418×C151C2211yescharacteristic
42#418×C151C2212yes—
43#417×C151C2211yescharacteristic
44C2×#100×C151C2212yes—
45C2×#100×C151C2212yes—
46C4×M16×C151C2211yescharacteristic
47#392×C151—22no—
48#390×C151C2212yes—
49C4×C4⋊C4×C151C2211yescharacteristic
50#339×C151C2212yes—
51#339×C151C2212yes—
52#339×C151C2212yes—
53C2×#41×C151—22no—
54C2×#41×C151—22no—
55C2×#41×C151C2311yescharacteristic
56C22×D4×C151—24no—
57C22×D4×C151D412yes—
58C22×D4×C151D412yes—
59C22×D4×C151C2311yescharacteristic
60C22×D4×C151C2312yes—
61C23×C4×C151—21no—
62AGL(1,ℤ/8)×C151—22no—
63AGL(1,ℤ/8)×C151—22no—
64C2×SD16×C151—21no—
65C2×D8×C151—21no—
66C2×M16×C151C2311yescharacteristic
67C2×M16×C151C2312yes—
68C2×M16×C151C2311yescharacteristic
69C4⋊Q8×C151D411yescharacteristic, complemented
70C4⋊Q8×C151D411yescharacteristic, complemented
71#127×C151—22no—
72#127×C151—24no—
73#127×C151—21no—
74#127×C151—21no—
75#127×C151—21no—
76#127×C151—21no—
77#127×C151—42no—
78#125×C151D412yescomplemented
79#124×C151—22no—
80#124×C151—22no—
81#124×C151—22no—
82#123×C151—24no—
83#123×C151—24no—
84C22⋊Q8×C151—21no—
85C22⋊Q8×C151—21no—
86#121×C151—22no—
87#121×C151—22no—
88#121×C151—24no—
89#121×C151—24no—
90#121×C151—22no—
91#121×C151—22no—
92#121×C151—48no—
93#120×C151—24no—
94C4×Q8×C151—21no—
95C4×Q8×C151—21no—
96C4×Q8×C151D411yescharacteristic, complemented
97C4×Q8×C151D411yescharacteristic, complemented
98C4×D4×C151—22no—
99C4×D4×C151—22no—
100C4×D4×C151—21no—
101C4×D4×C151—21no—
102C4×D4×C151—22no—
103C4×D4×C151—22no—
104C4×D4×C151—22no—
105C4×D4×C151—22no—
106C4×D4×C151—21no—
107C4×D4×C151—21no—
108C4×D4×C151—21no—
109C4×D4×C151—21no—
110C4×D4×C151D411yescharacteristic, complemented
111C4×D4×C151D411yescharacteristic, complemented
112#117×C151—21no—
113#117×C151C2311yescharacteristic
114#117×C151C2312yes—
115C2×C4⋊C4×C151—21no—
116C2×C4⋊C4×C151C2311yescharacteristic
117C2×C22⋊C4×C151—21no—
118C2×C22⋊C4×C151—24no—
119C2×C22⋊C4×C151—24no—
120C2×C42×C151—21no—
121C2×C42×C151C2312yes—
122C2×C42×C151C2311yescharacteristic
123#107×C151—21no—
124#107×C151—22no—
125#106×C151—21no—
126#106×C151—22no—
127C4⋊C8×C151—21no—
128C4⋊C8×C151—21no—
129#104×C151—42no—
130#103×C151—21no—
131#102×C151—21no—
132#102×C151—21no—
133#102×C151—21no—
134#102×C151—22no—
135#102×C151—22no—
136#100×C151—24no—
137#100×C151—42no—
138#97×C151—21no—
139C4×C8×C151—21no—
140#95×C151—21no—
141C24×C151—21no—
142C24×C151C2×D414yes—
143#41×C151—21no—
144#41×C151—21no—
145#41×C151—21no—
146#41×C151—21no—
147#41×C151—84no—
148#41×C151—84no—
149C2×Q8×C151—21no—
150C2×Q8×C151—21no—
151C2×Q8×C151C2×D411yescharacteristic
152C2×D4×C151—21no—
153C2×D4×C151—24no—
154C2×D4×C151—24no—
155C2×D4×C151—22no—
156C2×D4×C151—22no—
157C2×D4×C151—22no—
158C2×D4×C151—22no—
159C2×D4×C151—21no—
160C2×D4×C151—21no—
161C2×D4×C151—22no—
162C2×D4×C151—22no—
163C2×D4×C151—21no—
164C2×D4×C151—22no—
165C2×D4×C151—22no—
166C2×D4×C151—22no—
167C2×D4×C151—21no—
168C2×D4×C151—21no—
169C2×D4×C151—22no—
170C2×D4×C151—44no—
171C2×D4×C151—48no—
172C2×D4×C151—48no—
173C2×D4×C151—82no—
174C2×D4×C151—84no—
175C2×D4×C151C2×D411yescharacteristic
176C2×D4×C151#4112yescomplemented
177C22×C4×C151—22no—
178C22×C4×C151—24no—
179C22×C4×C151—24no—
180C22×C4×C151—21no—
181C22×C4×C151—21no—
182C22×C4×C151—21no—
183C22×C4×C151—21no—
184C22×C4×C151—44no—
185C22×C4×C151—41no—
186C22×C4×C151—41no—
187C22×C4×C151C2×D411yescharacteristic
188C22×C4×C151C2×D411yescharacteristic
189C22×C4×C151C2411yescharacteristic
190SD16×C151—24no—
191D8×C151—24no—
192M16×C151—21no—
193M16×C151—22no—
194M16×C151—21no—
195M16×C151—22no—
196M16×C151—21no—
197M16×C151#4112yescomplemented
198C2×C8×C151—21no—
199C2×C8×C151—21no—
200C2×C8×C151—22no—
201C4⋊C4×C151—24no—
202C4⋊C4×C151—21no—
203C4⋊C4×C151—21no—
204C4⋊C4×C151—21no—
205C4⋊C4×C151—21no—
206C4⋊C4×C151—22no—
207C4⋊C4×C151—22no—
208C4⋊C4×C151—21no—
209C4⋊C4×C151—21no—
210C4⋊C4×C151C2×D411yescharacteristic
211C4⋊C4×C151C2×D412yes—
212C4⋊C4×C151C2×D411yescharacteristic
213C4⋊C4×C151C2×D412yes—
214C22⋊C4×C151—24no—
215C22⋊C4×C151—24no—
216C22⋊C4×C151—24no—
217C22⋊C4×C151—24no—
218C22⋊C4×C151—21no—
219C22⋊C4×C151—22no—
220C22⋊C4×C151—21no—
221C22⋊C4×C151—21no—
222C22⋊C4×C151—48no—
223C22⋊C4×C151—41no—
224C22⋊C4×C151—41no—
225C42×C151—21no—
226C42×C151—21no—
227C42×C151—21no—
228C42×C151—22no—
229C42×C151—22no—
230C42×C151—22no—
231C42×C151C2×D411yescharacteristic
232C42×C151C2×D411yescharacteristic
233C42×C151C2×D411yescharacteristic
234C42×C151C2×D411yescharacteristic
235C23×C151—24no—
236C23×C151—21no—
237C23×C151—22no—
238C23×C151—24no—
239C23×C151—24no—
240C23×C151—42no—
241C23×C151—42no—
242C23×C151—44no—
243C23×C151—44no—
244C23×C151—41no—
245C23×C151—41no—
246C23×C151C22×D411yescharacteristic
247Q8×C151—21no—
248Q8×C151—21no—
249Q8×C151—42no—
250Q8×C151—42no—
251D4×C151—21no—
252D4×C151—22no—
253D4×C151—21no—
254D4×C151—22no—
255D4×C151—44no—
256D4×C151—41no—
257D4×C151—41no—
258D4×C151—42no—
259D4×C151—41no—
260D4×C151—42no—
261D4×C151—42no—
262D4×C151—41no—
263D4×C151—42no—
264D4×C151—44no—
265D4×C151—82no—
266D4×C151—82no—
267D4×C151—84no—
268D4×C151—84no—
269D4×C151—816no—
270C2×C4×C151—22no—
271C2×C4×C151—24no—
272C2×C4×C151—22no—
273C2×C4×C151—22no—
274C2×C4×C151—21no—
275C2×C4×C151—21no—
276C2×C4×C151—21no—
277C2×C4×C151—41no—
278C2×C4×C151—42no—
279C2×C4×C151—42no—
280C2×C4×C151—42no—
281C2×C4×C151—41no—
282C2×C4×C151—41no—
283C2×C4×C151—42no—
284C2×C4×C151—42no—
285C2×C4×C151—41no—
286C2×C4×C151—82no—
287C2×C4×C151—84no—
288C2×C4×C151—84no—
289C2×C4×C151—82no—
290C2×C4×C151#12011yescharacteristic
291C2×C4×C151#12011yescharacteristic
292C2×C4×C151#12011yescharacteristic
293C2×C4×C151#12011yescharacteristic
294C2×C4×C151C22×D411yescharacteristic
295C2×C4×C151C22×D411yescharacteristic
296C2×C4×C151C2×#4111yescharacteristic
297C2×C4×C151C2×#4111yescharacteristic
298C2×C4×C151H(5,𝔽2)11yescharacteristic
299C2×C4×C1512−1+411yescharacteristic
300C8×C151—22no—
301C8×C151—41no—
302C8×C151—42no—
303C22×C151—21no—
304C22×C151—21no—
305C22×C151—44no—
306C22×C151—41no—
307C22×C151—42no—
308C22×C151—44no—
309C22×C151—41no—
310C22×C151—44no—
311C22×C151—41no—
312C22×C151—44no—
313C22×C151—84no—
314C22×C151—84no—
315C22×C151—82no—
316C22×C151—81no—
317C22×C151—81no—
318C22×C151C2×#12011yescharacteristic
319C22×C151#54611yescharacteristic
320C22×C151#54711yescharacteristic
321C4×C151—21no—
322C4×C151—21no—
323C4×C151—21no—
324C4×C151—44no—
325C4×C151—41no—
326C4×C151—41no—
327C4×C151—42no—
328C4×C151—41no—
329C4×C151—42no—
330C4×C151—81no—
331C4×C151#45312yes—
332C4×C151#52511yescharacteristic
333C4×C151#53711yescharacteristic
334C4×C151#54811yescharacteristic
335C4×C151#55011yescharacteristic
336C2×C151—21no—
337C2×C151—21no—
338C2×C151—81no—
339C2×C151—84no—
340C2×C151—82no—
341C2×C151#240711yescharacteristic
342C2×C151C2×#45311yescharacteristic
343C2×C151#301911yescharacteristic
344#24144C15111yesmaximal, characteristic, direct product factor, Sylow
345C151#2414411yescharacteristic, direct product factor, Sylow
346#3508C2×C15111yescharacteristic, complemented
347#3077C2×C15111yescharacteristic, complemented
348C4×AGL(1,ℤ/8)C2×C15111yescharacteristic, complemented
349#2541C2×C15111yescharacteristic, complemented
350#2037C2×C15112yescomplemented
351#2002C2×C15112yescomplemented
352#1986C2×C15111yescharacteristic, complemented
353#1965C2×C15111yescharacteristic, complemented
354#1887C2×C15112yescomplemented
355#1856C2×C15112yescomplemented
356#1806C2×C15111yescharacteristic, complemented
357C2×AGL(1,ℤ/8)C22×C15111yescharacteristic
358#559—21no—
359#559—21no—
360#550—21no—
361#550—21no—
362#546—22no—
363#546—22no—
364#540—22no—
365#535C22×C15112yes—
366#533C22×C15111yescharacteristic
367#532—21no—
368#532—21no—
369C2×#127C22×C15111yescharacteristic
370C2×#127C22×C15112yes—
371C2×#121—22no—
372#518C22×C15112yes—
373C4×#41C22×C15111yescharacteristic
374C2×C4×D4C22×C15111yescharacteristic
375#478—22no—
376#476—21no—
377#474—21no—
378#442—21no—
379#440—21no—
380C4×SD16—21no—
381C4×D8—21no—
382#428C22×C15112yes—
383#428C22×C15111yescharacteristic
384#423C22×C15111yescharacteristic
385C2×#104C22×C15112yes—
386#418C22×C15112yes—
387#418C22×C15111yescharacteristic
388#417C22×C15111yescharacteristic
389C2×#100C22×C15112yes—
390C2×#100C22×C15112yes—
391C4×M16C22×C15111yescharacteristic
392#392—22no—
393#390C22×C15112yes—
394C4×C4⋊C4C22×C15111yescharacteristic
395#339C22×C15112yes—
396#339C22×C15112yes—
397#339C22×C15112yes—
398C2×#41—22no—
399C2×#41—22no—
400C2×#41C23×C15111yescharacteristic
401C22×D4—24no—
402C22×D4D4×C15112yes—
403C22×D4D4×C15112yes—
404C22×D4C23×C15112yes—
405C22×D4C23×C15111yescharacteristic
406C23×C4—21no—
407AGL(1,ℤ/8)—22no—
408AGL(1,ℤ/8)—22no—
409C2×SD16—21no—
410C2×D8—21no—
411C2×M16C23×C15111yescharacteristic
412C2×M16C23×C15112yes—
413C2×M16C23×C15111yescharacteristic
414C4⋊Q8D4×C15111yescharacteristic, complemented
415C4⋊Q8D4×C15111yescharacteristic, complemented
416#127—22no—
417#127—24no—
418#127—21no—
419#127—21no—
420#127—21no—
421#127—21no—
422#127—42no—
423#125D4×C15112yescomplemented
424#124—22no—
425#124—22no—
426#124—22no—
427#123—24no—
428#123—24no—
429C22⋊Q8—21no—
430C22⋊Q8—21no—
431#121—22no—
432#121—22no—
433#121—24no—
434#121—24no—
435#121—22no—
436#121—22no—
437#121—48no—
438#120—24no—
439C4×Q8—21no—
440C4×Q8—21no—
441C4×Q8D4×C15111yescharacteristic, complemented
442C4×Q8D4×C15111yescharacteristic, complemented
443C4×D4—22no—
444C4×D4—22no—
445C4×D4—21no—
446C4×D4—21no—
447C4×D4—22no—
448C4×D4—22no—
449C4×D4—22no—
450C4×D4—22no—
451C4×D4—21no—
452C4×D4—21no—
453C4×D4—21no—
454C4×D4—21no—
455C4×D4D4×C15111yescharacteristic, complemented
456C4×D4D4×C15111yescharacteristic, complemented
457#117—21no—
458#117C23×C15111yescharacteristic
459#117C23×C15112yes—
460C2×C4⋊C4—21no—
461C2×C4⋊C4C23×C15111yescharacteristic
462C2×C22⋊C4—24no—
463C2×C22⋊C4—24no—
464C2×C22⋊C4—21no—
465C2×C42—21no—
466C2×C42C23×C15112yes—
467C2×C42C23×C15111yescharacteristic
468#107—21no—
469#107—22no—
470#106—21no—
471#106—22no—
472C4⋊C8—21no—
473C4⋊C8—21no—
474#104—42no—
475#103—21no—
476#102—21no—
477#102—21no—
478#102—21no—
479#102—22no—
480#102—22no—
481#100—24no—
482#100—42no—
483#97—21no—
484C4×C8—21no—
485#95—21no—
486C24—21no—
487C24C2×D4×C15114yes—
488#41—21no—
489#41—21no—
490#41—21no—
491#41—21no—
492#41—84no—
493#41—84no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8C2×D4×C15111yescharacteristic
497C2×D4—21no—
498C2×D4—24no—
499C2×D4—24no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—21no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—22no—
515C2×D4—44no—
516C2×D4—48no—
517C2×D4—48no—
518C2×D4—82no—
519C2×D4—84no—
520C2×D4C2×D4×C15111yescharacteristic
521C2×D4#41×C15112yescomplemented
522C22×C4—22no—
523C22×C4—24no—
524C22×C4—24no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—44no—
530C22×C4—41no—
531C22×C4—41no—
532C22×C4C2×D4×C15111yescharacteristic
533C22×C4C2×D4×C15111yescharacteristic
534C22×C4C24×C15111yescharacteristic
535SD16—24no—
536D8—24no—
537M16—21no—
538M16—22no—
539M16—21no—
540M16—22no—
541M16—21no—
542M16#41×C15112yescomplemented
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—22no—
546C4⋊C4—24no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4C2×D4×C15111yescharacteristic
556C4⋊C4C2×D4×C15112yes—
557C4⋊C4C2×D4×C15111yescharacteristic
558C4⋊C4C2×D4×C15112yes—
559C22⋊C4—24no—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—24no—
563C22⋊C4—21no—
564C22⋊C4—22no—
565C22⋊C4—21no—
566C22⋊C4—21no—
567C22⋊C4—48no—
568C22⋊C4—41no—
569C22⋊C4—41no—
570C42—21no—
571C42—21no—
572C42—21no—
573C42—22no—
574C42—22no—
575C42—22no—
576C42C2×D4×C15111yescharacteristic
577C42C2×D4×C15111yescharacteristic
578C42C2×D4×C15111yescharacteristic
579C42C2×D4×C15111yescharacteristic
580C23—24no—
581C23—21no—
582C23—22no—
583C23—24no—
584C23—24no—
585C23—42no—
586C23—42no—
587C23—44no—
588C23—44no—
589C23—41no—
590C23—41no—
591C23C22×D4×C15111yescharacteristic
592Q8—21no—
593Q8—21no—
594Q8—42no—
595Q8—42no—
596D4—21no—
597D4—22no—
598D4—21no—
599D4—22no—
600D4—44no—
601D4—41no—
602D4—41no—
603D4—44no—
604D4—42no—
605D4—41no—
606D4—42no—
607D4—42no—
608D4—41no—
609D4—42no—
610D4—82no—
611D4—82no—
612D4—84no—
613D4—84no—
614D4—816no—
615C2×C4—22no—
616C2×C4—24no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—41no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—42no—
630C2×C4—41no—
631C2×C4—82no—
632C2×C4—84no—
633C2×C4—84no—
634C2×C4—82no—
635C2×C4#120×C15111yescharacteristic
636C2×C4#120×C15111yescharacteristic
637C2×C4#120×C15111yescharacteristic
638C2×C4#120×C15111yescharacteristic
639C2×C4C22×D4×C15111yescharacteristic
640C2×C4C22×D4×C15111yescharacteristic
641C2×C4C2×#41×C15111yescharacteristic
642C2×C4C2×#41×C15111yescharacteristic
643C2×C4H(5,𝔽2)×C15111yescharacteristic
644C2×C42−1+4×C15111yescharacteristic
645C8—22no—
646C8—41no—
647C8—42no—
648C22—21no—
649C22—21no—
650C22—44no—
651C22—41no—
652C22—42no—
653C22—44no—
654C22—41no—
655C22—44no—
656C22—41no—
657C22—44no—
658C22—84no—
659C22—84no—
660C22—82no—
661C22—81no—
662C22—81no—
663C22C2×#120×C15111yescharacteristic
664C22#546×C15111yescharacteristic
665C22#547×C15111yescharacteristic
666C4—21no—
667C4—21no—
668C4—21no—
669C4—44no—
670C4—41no—
671C4—41no—
672C4—42no—
673C4—41no—
674C4—42no—
675C4—81no—
676C4#453×C15112yes—
677C4#525×C15111yescharacteristic
678C4#537×C15111yescharacteristic
679C4#548×C15111yescharacteristic
680C4#550×C15111yescharacteristic
681C2—21no—
682C2—21no—
683C2—82no—
684C2—84no—
685C2—81no—
686C2#2407×C15111yescharacteristic
687C2C2×#453×C15111yescharacteristic
688C2#3019×C15111yescharacteristic
subgroupG/H
center, socleC22×C151C2×#120
commutator, Frattini, cosocleC22×C4C24×C151
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C151 ◁ C2×C42×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3508×C151C2semidirect
2. #3077×C151C2semidirect
3. C4×AGL(1,ℤ/8)×C151C2semidirect
4. #2541×C151C2semidirect
5. #2037×C151C2semidirect
6. #2002×C151C2semidirect
7. #1986×C151C2semidirect
8. #1965×C151C2semidirect
9. #1887×C151C2semidirect
10. #1856×C151C2semidirect
11. #1806×C151C2semidirect
69. C4⋊Q8×C151D4semidirect
70. C4⋊Q8×C151D4semidirect
78. #125×C151D4semidirect
96. C4×Q8×C151D4semidirect
97. C4×Q8×C151D4semidirect
110. C4×D4×C151D4semidirect
111. C4×D4×C151D4semidirect
176. C2×D4×C151#41semidirect
197. M16×C151#41semidirect
344. #24144C151direct (N × H)
345. C151#24144direct (N × H)
346. #3508C2×C151semidirect
347. #3077C2×C151semidirect
348. C4×AGL(1,ℤ/8)C2×C151semidirect
349. #2541C2×C151semidirect
350. #2037C2×C151semidirect
351. #2002C2×C151semidirect
352. #1986C2×C151semidirect
353. #1965C2×C151semidirect
354. #1887C2×C151semidirect
355. #1856C2×C151semidirect
356. #1806C2×C151semidirect
414. C4⋊Q8D4×C151semidirect
415. C4⋊Q8D4×C151semidirect
423. #125D4×C151semidirect
441. C4×Q8D4×C151semidirect
442. C4×Q8D4×C151semidirect
455. C4×D4D4×C151semidirect
456. C4×D4D4×C151semidirect
521. C2×D4#41×C151semidirect
542. M16#41×C151semidirect

Maximal subgroups

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

subgroupindex
#3508×C1512
#3077×C1512
C4×AGL(1,ℤ/8)×C1512
#2541×C1512
#2037×C1512
#2002×C1512
#1986×C1512
#1965×C1512
#1887×C1512
#1856×C1512
#1806×C1512
#24144151