Finite Group Databasebeta

← C151×#18792 #50323717

Subgroups — C151×#18792 #50323717

Order 38656.

1064 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
1#3475×C151C211yesmaximal, characteristic, complemented
2#3208×C151C211yesmaximal, characteristic, complemented
3#3038×C151C211yesmaximal, characteristic, complemented
4C2×#459×C151C211yesmaximal, characteristic, complemented
5#1628×C151C212yesmaximal, complemented
6#1625×C151C212yesmaximal, complemented
7#1624×C151C212yesmaximal, complemented
8#1622×C151C212yesmaximal, complemented
9#1550×C151C211yesmaximal, characteristic, complemented
10#1486×C151C211yesmaximal, characteristic, complemented
11#1477×C151C211yesmaximal, characteristic, complemented
12C2×AGL(1,ℤ/8)×C151—21no—
13C22×D8×C151—21no—
14#556×C151C2211yescharacteristic, complemented
15#555×C151C2211yescharacteristic, complemented
16#554×C151C2211yescharacteristic, complemented
17#553×C151—21no—
18#552×C151—21no—
19#552×C151—21no—
20#551×C151—22no—
21#547×C151C2211yescharacteristic, complemented
22#546×C151—21no—
23#533×C151C2211yescharacteristic
24C2×#127×C151C2211yescharacteristic
25#529×C151—22no—
26#529×C151—21no—
27#525×C151—21no—
28C4×#41×C151—21no—
29C4×#41×C151C2211yescharacteristic
30C2×C4×D4×C151C2211yescharacteristic
31C2×#117×C151—21no—
32#492×C151C2212yescomplemented
33#486×C151C2212yescomplemented
34#460×C151—22no—
35#460×C151—21no—
36#460×C151C2212yescomplemented
37#459×C151—21no—
38#459×C151—21no—
39#459×C151—21no—
40#459×C151C2212yes—
41#459×C151C2212yes—
42#459×C151C2212yescomplemented
43#450×C151—22no—
44#431×C151C2211yescharacteristic
45#423×C151C2211yescharacteristic
46C2×C4⋊C8×C151C2211yescharacteristic
47#418×C151—21no—
48C2×#102×C151—21no—
49#333×C151C2212yescomplemented
50#332×C151C2212yescomplemented
51Q8⋊C8×C151C2212yescomplemented
52D4⋊C8×C151C2212yescomplemented
53D4⋊C8×C151C2212yescomplemented
54D4⋊C8×C151C2212yescomplemented
55C2×#41×C151—21no—
56C2×#41×C151D411yescharacteristic
57C22×D4×C151—21no—
58C22×D4×C151—21no—
59C22×D4×C151—21no—
60C22×D4×C151D411yescharacteristic
61C23×C4×C151—21no—
62AGL(1,ℤ/8)×C151—44no—
63C2×SD16×C151—22no—
64C2×SD16×C151—24no—
65C2×D8×C151—22no—
66C2×D8×C151—22no—
67C2×D8×C151—22no—
68C2×D8×C151—44no—
69C2×M16×C151—21no—
70C22×C8×C151—21no—
71C4⋊Q8×C151C2311yescharacteristic
72C4⋊Q8×C151C2311yescharacteristic
73#127×C151—21no—
74#127×C151—21no—
75#127×C151—21no—
76#127×C151C2312yes—
77#126×C151—22no—
78#126×C151—22no—
79#126×C151—22no—
80#125×C151—22no—
81#125×C151—21no—
82#125×C151—21no—
83#124×C151—21no—
84#124×C151—22no—
85#123×C151—22no—
86#123×C151—22no—
87#123×C151—22no—
88#123×C151—22no—
89C22⋊Q8×C151—21no—
90C22⋊Q8×C151—21no—
91C22⋊Q8×C151—21no—
92C22⋊Q8×C151—21no—
93C22⋊Q8×C151—22no—
94C22⋊Q8×C151D412yes—
95#121×C151—22no—
96#121×C151—21no—
97#121×C151—21no—
98#121×C151—21no—
99#120×C151—22no—
100C4×Q8×C151—21no—
101C4×Q8×C151—21no—
102C4×Q8×C151D411yescharacteristic
103C4×Q8×C151D412yes—
104C4×Q8×C151C2311yescharacteristic
105C4×D4×C151—22no—
106C4×D4×C151—22no—
107C4×D4×C151—22no—
108C4×D4×C151—21no—
109C4×D4×C151—21no—
110C4×D4×C151—21no—
111C4×D4×C151—21no—
112C4×D4×C151—21no—
113C4×D4×C151D411yescharacteristic
114C4×D4×C151D411yescharacteristic
115C4×D4×C151D411yescharacteristic
116C4×D4×C151C2311yescharacteristic
117C4×D4×C151C2311yescharacteristic
118C4×D4×C151C2311yescharacteristic
119#117×C151—22no—
120#117×C151—22no—
121#117×C151—22no—
122#117×C151—21no—
123#117×C151—21no—
124#117×C151—21no—
125#117×C151—21no—
126#117×C151—21no—
127#117×C151D411yescharacteristic
128C2×C4⋊C4×C151—21no—
129C2×C4⋊C4×C151—21no—
130C2×C4⋊C4×C151D411yescharacteristic
131C2×C22⋊C4×C151—22no—
132C2×C22⋊C4×C151—21no—
133C2×C42×C151—22no—
134C2×C42×C151—21no—
135C2×C42×C151C2311yescharacteristic
136C4⋊C8×C151—21no—
137C4⋊C8×C151—21no—
138C4⋊C8×C151—21no—
139C4⋊C8×C151C2312yes—
140C4⋊C8×C151C2312yes—
141#102×C151—22no—
142#102×C151—22no—
143#102×C151—22no—
144#102×C151—22no—
145#102×C151—24no—
146C22⋊C8×C151—21no—
147C4×C8×C151C2312yes—
148C24×C151—21no—
149C24×C151—41no—
150#41×C151—22no—
151#41×C151—22no—
152#41×C151—42no—
153#41×C151—42no—
154C2×Q8×C151—21no—
155C2×Q8×C151C2×D411yescharacteristic
156C2×Q8×C151C2×D412yes—
157C2×D4×C151—22no—
158C2×D4×C151—22no—
159C2×D4×C151—21no—
160C2×D4×C151—22no—
161C2×D4×C151—21no—
162C2×D4×C151—22no—
163C2×D4×C151—22no—
164C2×D4×C151—22no—
165C2×D4×C151—41no—
166C2×D4×C151—42no—
167C2×D4×C151—42no—
168C2×D4×C151—41no—
169C2×D4×C151—41no—
170C2×D4×C151—41no—
171C2×D4×C151—42no—
172C2×D4×C151—42no—
173C2×D4×C151—82no—
174C2×D4×C151C2×D411yescharacteristic
175C2×D4×C151C2×D411yescharacteristic
176C2×D4×C151C2×D411yescharacteristic
177C22×C4×C151—22no—
178C22×C4×C151—21no—
179C22×C4×C151—22no—
180C22×C4×C151—21no—
181C22×C4×C151—21no—
182C22×C4×C151—21no—
183C22×C4×C151—21no—
184C22×C4×C151—21no—
185C22×C4×C151—21no—
186C22×C4×C151—21no—
187C22×C4×C151—42no—
188C22×C4×C151—42no—
189C22×C4×C151C2×D411yescharacteristic
190C22×C4×C151C2×D411yescharacteristic
191C22×C4×C151C2×D411yescharacteristic
192SD16×C151—44no—
193SD16×C151—84no—
194D8×C151—44no—
195D8×C151—44no—
196D8×C151—44no—
197M16×C151—42no—
198C2×C8×C151—22no—
199C2×C8×C151—22no—
200C2×C8×C151—22no—
201C2×C8×C151—42no—
202C4⋊C4×C151—22no—
203C4⋊C4×C151—22no—
204C4⋊C4×C151—22no—
205C4⋊C4×C151—22no—
206C4⋊C4×C151—21no—
207C4⋊C4×C151—22no—
208C4⋊C4×C151—21no—
209C4⋊C4×C151—22no—
210C4⋊C4×C151—21no—
211C4⋊C4×C151—21no—
212C4⋊C4×C151—21no—
213C4⋊C4×C151—21no—
214C4⋊C4×C151C2×D411yescharacteristic
215C4⋊C4×C151C2×D411yescharacteristic
216C4⋊C4×C151C2×D411yescharacteristic
217C4⋊C4×C151C2×D411yescharacteristic
218C4⋊C4×C151C2×D412yes—
219C22⋊C4×C151—22no—
220C22⋊C4×C151—22no—
221C22⋊C4×C151—22no—
222C22⋊C4×C151—22no—
223C22⋊C4×C151—22no—
224C22⋊C4×C151—22no—
225C22⋊C4×C151—21no—
226C22⋊C4×C151—22no—
227C22⋊C4×C151—21no—
228C22⋊C4×C151—21no—
229C22⋊C4×C151—21no—
230C22⋊C4×C151—21no—
231C22⋊C4×C151—21no—
232C22⋊C4×C151—21no—
233C42×C151—22no—
234C42×C151—22no—
235C42×C151—21no—
236C42×C151—22no—
237C42×C151—21no—
238C42×C151—21no—
239C42×C151C2×D411yescharacteristic
240C42×C151C2×D411yescharacteristic
241C42×C151C2×D411yescharacteristic
242C42×C151C2411yescharacteristic
243C23×C151—21no—
244C23×C151—21no—
245C23×C151—21no—
246C23×C151—42no—
247C23×C151—42no—
248C23×C151—42no—
249C23×C151—81no—
250C23×C151—82no—
251C23×C151—82no—
252C23×C151—82no—
253C23×C151#12011yescharacteristic
254Q8×C151—21no—
255Q8×C151—21no—
256Q8×C151—42no—
257Q8×C151—41no—
258Q8×C151—41no—
259D4×C151—21no—
260D4×C151—21no—
261D4×C151—21no—
262D4×C151—21no—
263D4×C151—21no—
264D4×C151—42no—
265D4×C151—44no—
266D4×C151—44no—
267D4×C151—42no—
268D4×C151—42no—
269D4×C151—42no—
270D4×C151—42no—
271D4×C151—42no—
272D4×C151—82no—
273D4×C151—82no—
274D4×C151—82no—
275D4×C151—82no—
276D4×C151AGL(1,ℤ/8)12yescomplemented
277C2×C4×C151—21no—
278C2×C4×C151—21no—
279C2×C4×C151—22no—
280C2×C4×C151—21no—
281C2×C4×C151—22no—
282C2×C4×C151—21no—
283C2×C4×C151—21no—
284C2×C4×C151—21no—
285C2×C4×C151—21no—
286C2×C4×C151—41no—
287C2×C4×C151—44no—
288C2×C4×C151—42no—
289C2×C4×C151—41no—
290C2×C4×C151—41no—
291C2×C4×C151—41no—
292C2×C4×C151—41no—
293C2×C4×C151—41no—
294C2×C4×C151—41no—
295C2×C4×C151—42no—
296C2×C4×C151—42no—
297C2×C4×C151—42no—
298C2×C4×C151—81no—
299C2×C4×C151—82no—
300C2×C4×C151#12011yescharacteristic
301C2×C4×C151#12011yescharacteristic
302C2×C4×C151#12011yescharacteristic
303C2×C4×C151#13512yes—
304C2×C4×C151AGL(1,ℤ/8)12yes—
305C2×C4×C151C22×D411yescharacteristic
306C2×C4×C151C22×D411yescharacteristic
307C2×C4×C151C22×D411yescharacteristic
308C8×C151—42no—
309C8×C151—42no—
310C8×C151—42no—
311C22×C151—21no—
312C22×C151—21no—
313C22×C151—22no—
314C22×C151—41no—
315C22×C151—41no—
316C22×C151—41no—
317C22×C151—41no—
318C22×C151—41no—
319C22×C151—41no—
320C22×C151—41no—
321C22×C151—41no—
322C22×C151—84no—
323C22×C151—82no—
324C22×C151—82no—
325C22×C151—82no—
326C22×C151—164no—
327C22×C151#44912yes—
328C22×C151C2×#12011yescharacteristic
329C4×C151—21no—
330C4×C151—21no—
331C4×C151—21no—
332C4×C151—41no—
333C4×C151—41no—
334C4×C151—41no—
335C4×C151—41no—
336C4×C151—42no—
337C4×C151—41no—
338C4×C151—42no—
339C4×C151#44912yes—
340C4×C151C2×#13511yescharacteristic
341C4×C151C2×AGL(1,ℤ/8)11yescharacteristic
342C4×C151C2×AGL(1,ℤ/8)11yescharacteristic
343C4×C151#57511yescharacteristic
344C2×C151—22no—
345C2×C151—42no—
346C2×C151—81no—
347C2×C151—81no—
348C2×C151—162no—
349C2×C151C2×#44911yescharacteristic
350C2×C151#300611yescharacteristic
351C2×C151#302111yescharacteristic
352#18792C15111yesmaximal, characteristic, direct product factor, Sylow
353C151#1879211yescharacteristic, direct product factor, Sylow
354#3475C2×C15111yescharacteristic, complemented
355#3208C2×C15111yescharacteristic, complemented
356#3038C2×C15111yescharacteristic, complemented
357C2×#459C2×C15111yescharacteristic, complemented
358#1628C2×C15112yescomplemented
359#1625C2×C15112yescomplemented
360#1624C2×C15112yescomplemented
361#1622C2×C15112yescomplemented
362#1550C2×C15111yescharacteristic, complemented
363#1486C2×C15111yescharacteristic, complemented
364#1477C2×C15111yescharacteristic, complemented
365C2×AGL(1,ℤ/8)—21no—
366C22×D8—21no—
367#556C22×C15111yescharacteristic, complemented
368#555C22×C15111yescharacteristic, complemented
369#554C22×C15111yescharacteristic, complemented
370#553—21no—
371#552—21no—
372#552—21no—
373#551—22no—
374#547C22×C15111yescharacteristic, complemented
375#546—21no—
376#533C22×C15111yescharacteristic
377C2×#127C22×C15111yescharacteristic
378#529—22no—
379#529—21no—
380#525—21no—
381C4×#41—21no—
382C4×#41C22×C15111yescharacteristic
383C2×C4×D4C22×C15111yescharacteristic
384C2×#117—21no—
385#492C22×C15112yescomplemented
386#486C22×C15112yescomplemented
387#460—22no—
388#460—21no—
389#460C22×C15112yescomplemented
390#459—21no—
391#459—21no—
392#459—21no—
393#459C22×C15112yes—
394#459C22×C15112yes—
395#459C22×C15112yescomplemented
396#450—22no—
397#431C22×C15111yescharacteristic
398#423C22×C15111yescharacteristic
399C2×C4⋊C8C22×C15111yescharacteristic
400#418—21no—
401C2×#102—21no—
402#333C22×C15112yescomplemented
403#332C22×C15112yescomplemented
404Q8⋊C8C22×C15112yescomplemented
405D4⋊C8C22×C15112yescomplemented
406D4⋊C8C22×C15112yescomplemented
407D4⋊C8C22×C15112yescomplemented
408C2×#41—21no—
409C2×#41D4×C15111yescharacteristic
410C22×D4—21no—
411C22×D4—21no—
412C22×D4—21no—
413C22×D4D4×C15111yescharacteristic
414C23×C4—21no—
415AGL(1,ℤ/8)—44no—
416C2×SD16—22no—
417C2×SD16—24no—
418C2×D8—22no—
419C2×D8—22no—
420C2×D8—22no—
421C2×D8—44no—
422C2×M16—21no—
423C22×C8—21no—
424C4⋊Q8C23×C15111yescharacteristic
425C4⋊Q8C23×C15111yescharacteristic
426#127—21no—
427#127—21no—
428#127—21no—
429#127C23×C15112yes—
430#126—22no—
431#126—22no—
432#126—22no—
433#125—22no—
434#125—21no—
435#125—21no—
436#124—22no—
437#124—21no—
438#123—22no—
439#123—22no—
440#123—22no—
441#123—22no—
442C22⋊Q8—21no—
443C22⋊Q8—21no—
444C22⋊Q8—22no—
445C22⋊Q8—21no—
446C22⋊Q8—21no—
447C22⋊Q8D4×C15112yes—
448#121—22no—
449#121—21no—
450#121—21no—
451#121—21no—
452#120—22no—
453C4×Q8—21no—
454C4×Q8—21no—
455C4×Q8D4×C15111yescharacteristic
456C4×Q8D4×C15112yes—
457C4×Q8C23×C15111yescharacteristic
458C4×D4—22no—
459C4×D4—22no—
460C4×D4—22no—
461C4×D4—21no—
462C4×D4—21no—
463C4×D4—21no—
464C4×D4—21no—
465C4×D4—21no—
466C4×D4D4×C15111yescharacteristic
467C4×D4D4×C15111yescharacteristic
468C4×D4D4×C15111yescharacteristic
469C4×D4C23×C15111yescharacteristic
470C4×D4C23×C15111yescharacteristic
471C4×D4C23×C15111yescharacteristic
472#117—22no—
473#117—22no—
474#117—22no—
475#117—21no—
476#117—21no—
477#117—21no—
478#117—21no—
479#117—21no—
480#117D4×C15111yescharacteristic
481C2×C4⋊C4—21no—
482C2×C4⋊C4—21no—
483C2×C4⋊C4D4×C15111yescharacteristic
484C2×C22⋊C4—22no—
485C2×C22⋊C4—21no—
486C2×C42—22no—
487C2×C42—21no—
488C2×C42C23×C15111yescharacteristic
489C4⋊C8—21no—
490C4⋊C8—21no—
491C4⋊C8—21no—
492C4⋊C8C23×C15112yes—
493C4⋊C8C23×C15112yes—
494#102—22no—
495#102—22no—
496#102—22no—
497#102—22no—
498#102—24no—
499C22⋊C8—21no—
500C4×C8C23×C15112yes—
501C24—21no—
502C24—41no—
503#41—22no—
504#41—22no—
505#41—42no—
506#41—42no—
507C2×Q8—21no—
508C2×Q8C2×D4×C15111yescharacteristic
509C2×Q8C2×D4×C15112yes—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—21no—
513C2×D4—22no—
514C2×D4—21no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—41no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—41no—
522C2×D4—41no—
523C2×D4—41no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4—82no—
527C2×D4C2×D4×C15111yescharacteristic
528C2×D4C2×D4×C15111yescharacteristic
529C2×D4C2×D4×C15111yescharacteristic
530C22×C4—22no—
531C22×C4—21no—
532C22×C4—22no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4C2×D4×C15111yescharacteristic
543C22×C4C2×D4×C15111yescharacteristic
544C22×C4C2×D4×C15111yescharacteristic
545SD16—44no—
546SD16—84no—
547D8—44no—
548D8—44no—
549D8—44no—
550M16—42no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—42no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—21no—
560C4⋊C4—22no—
561C4⋊C4—21no—
562C4⋊C4—22no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4C2×D4×C15111yescharacteristic
568C4⋊C4C2×D4×C15111yescharacteristic
569C4⋊C4C2×D4×C15111yescharacteristic
570C4⋊C4C2×D4×C15111yescharacteristic
571C4⋊C4C2×D4×C15112yes—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—21no—
579C22⋊C4—22no—
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—21no—
586C42—22no—
587C42—22no—
588C42—21no—
589C42—22no—
590C42—21no—
591C42—21no—
592C42C2×D4×C15111yescharacteristic
593C42C2×D4×C15111yescharacteristic
594C42C2×D4×C15111yescharacteristic
595C42C24×C15111yescharacteristic
596C23—21no—
597C23—21no—
598C23—21no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—81no—
603C23—82no—
604C23—82no—
605C23—82no—
606C23#120×C15111yescharacteristic
607Q8—21no—
608Q8—21no—
609Q8—42no—
610Q8—41no—
611Q8—41no—
612D4—21no—
613D4—21no—
614D4—21no—
615D4—21no—
616D4—21no—
617D4—42no—
618D4—44no—
619D4—44no—
620D4—42no—
621D4—42no—
622D4—42no—
623D4—42no—
624D4—42no—
625D4—82no—
626D4—82no—
627D4—82no—
628D4—82no—
629D4AGL(1,ℤ/8)×C15112yescomplemented
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—41no—
640C2×C4—44no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—81no—
652C2×C4—82no—
653C2×C4#120×C15111yescharacteristic
654C2×C4#120×C15111yescharacteristic
655C2×C4#120×C15111yescharacteristic
656C2×C4#135×C15112yes—
657C2×C4AGL(1,ℤ/8)×C15112yes—
658C2×C4C22×D4×C15111yescharacteristic
659C2×C4C22×D4×C15111yescharacteristic
660C2×C4C22×D4×C15111yescharacteristic
661C8—42no—
662C8—42no—
663C8—42no—
664C22—21no—
665C22—21no—
666C22—22no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—84no—
676C22—82no—
677C22—82no—
678C22—82no—
679C22—164no—
680C22#449×C15112yes—
681C22C2×#120×C15111yescharacteristic
682C4—21no—
683C4—21no—
684C4—21no—
685C4—41no—
686C4—41no—
687C4—41no—
688C4—41no—
689C4—42no—
690C4—41no—
691C4—42no—
692C4#449×C15112yes—
693C4C2×#135×C15111yescharacteristic
694C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
695C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
696C4#575×C15111yescharacteristic
697C2—22no—
698C2—42no—
699C2—81no—
700C2—81no—
701C2—162no—
702C2C2×#449×C15111yescharacteristic
703C2#3006×C15111yescharacteristic
704C2#3021×C15111yescharacteristic
subgroupG/H
center, socleC22×C151C2×#120
commutator, Frattini, cosocleC42C24×C151
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C151 ◁ C2×C42×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3475×C151C2semidirect
2. #3208×C151C2semidirect
3. #3038×C151C2semidirect
4. C2×#459×C151C2semidirect
5. #1628×C151C2semidirect
6. #1625×C151C2semidirect
7. #1624×C151C2semidirect
8. #1622×C151C2semidirect
9. #1550×C151C2semidirect
10. #1486×C151C2semidirect
11. #1477×C151C2semidirect
14. #556×C151C22semidirect
15. #555×C151C22semidirect
16. #554×C151C22semidirect
21. #547×C151C22semidirect
32. #492×C151C22semidirect
33. #486×C151C22semidirect
36. #460×C151C22semidirect
42. #459×C151C22semidirect
49. #333×C151C22semidirect
50. #332×C151C22semidirect
51. Q8⋊C8×C151C22semidirect
52. D4⋊C8×C151C22semidirect
53. D4⋊C8×C151C22semidirect
54. D4⋊C8×C151C22semidirect
276. D4×C151AGL(1,ℤ/8)semidirect
352. #18792C151direct (N × H)
353. C151#18792direct (N × H)
354. #3475C2×C151semidirect
355. #3208C2×C151semidirect
356. #3038C2×C151semidirect
357. C2×#459C2×C151semidirect
358. #1628C2×C151semidirect
359. #1625C2×C151semidirect
360. #1624C2×C151semidirect
361. #1622C2×C151semidirect
362. #1550C2×C151semidirect
363. #1486C2×C151semidirect
364. #1477C2×C151semidirect
367. #556C22×C151semidirect
368. #555C22×C151semidirect
369. #554C22×C151semidirect
374. #547C22×C151semidirect
385. #492C22×C151semidirect
386. #486C22×C151semidirect
389. #460C22×C151semidirect
395. #459C22×C151semidirect
402. #333C22×C151semidirect
403. #332C22×C151semidirect
404. Q8⋊C8C22×C151semidirect
405. D4⋊C8C22×C151semidirect
406. D4⋊C8C22×C151semidirect
407. D4⋊C8C22×C151semidirect
629. D4AGL(1,ℤ/8)×C151semidirect

Maximal subgroups

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

subgroupindex
#3475×C1512
#3208×C1512
#3038×C1512
C2×#459×C1512
#1628×C1512
#1625×C1512
#1624×C1512
#1622×C1512
#1550×C1512
#1486×C1512
#1477×C1512
#18792151