Finite Group Databasebeta

← C151×#18562 #50323487

Subgroups — C151×#18562 #50323487

Order 38656.

1156 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3519×C151C211yesmaximal, characteristic, complemented
2#3217×C151C211yesmaximal, characteristic, complemented
3#3151×C151C211yesmaximal, characteristic, complemented
4C2×#459×C151C211yesmaximal, characteristic, complemented
5#1624×C151C212yesmaximal, complemented
6#1622×C151C212yesmaximal, complemented
7#1621×C151C212yesmaximal, complemented
8#1619×C151C212yesmaximal, complemented
9#1551×C151C211yesmaximal, characteristic, complemented
10#1490×C151C211yesmaximal, characteristic, complemented
11#1483×C151C211yesmaximal, characteristic, complemented
12C2×AGL(1,ℤ/8)×C151—22no—
13C22×D8×C151—21no—
14#555×C151C2211yescharacteristic, complemented
15#554×C151C2211yescharacteristic, complemented
16#553×C151—21no—
17#553×C151—21no—
18#550×C151C2211yescharacteristic, complemented
19#546×C151—22no—
20#546×C151—21no—
21D42×C151—21no—
22D42×C151C2211yescharacteristic, complemented
23#540×C151—21no—
24#538×C151—22no—
25#532×C151C2211yescharacteristic
26C2×#127×C151C2211yescharacteristic, complemented
27#529×C151C2211yescharacteristic
28#525×C151—21no—
29C2×#121×C151—21no—
30#518×C151—21no—
31C2×C4×D4×C151C2211yescharacteristic
32#496×C151—22no—
33#496×C151—21no—
34#493×C151C2212yescomplemented
35#492×C151C2212yescomplemented
36#490×C151—21no—
37#460×C151C2212yescomplemented
38#459×C151—21no—
39#459×C151—21no—
40#459×C151C2212yes—
41#459×C151C2212yescomplemented
42#459×C151C2212yescomplemented
43#450×C151—21no—
44#447×C151—21no—
45#432×C151C2211yescharacteristic, complemented
46C2×C4⋊C8×C151C2211yescharacteristic, complemented
47C2×#102×C151—21no—
48C4×M16×C151C2211yescharacteristic, complemented
49#333×C151C2212yescomplemented
50#331×C151C2212yescomplemented
51Q8⋊C8×C151C2212yescomplemented
52D4⋊C8×C151C2212yescomplemented
53D4⋊C8×C151C2212yescomplemented
54D4⋊C8×C151C2212yescomplemented
55C2×#41×C151—21no—
56C2×#41×C151D412yes—
57C22×D4×C151—22no—
58C22×D4×C151—21no—
59C22×D4×C151—21no—
60C22×D4×C151—21no—
61C22×D4×C151—21no—
62C22×D4×C151—21no—
63C22×D4×C151D411yescharacteristic
64C23×C4×C151—21no—
65AGL(1,ℤ/8)×C151—48no—
66C2×SD16×C151—24no—
67C2×SD16×C151—22no—
68C2×D8×C151—22no—
69C2×D8×C151—22no—
70C2×D8×C151—24no—
71C2×D8×C151—22no—
72C2×D8×C151—44no—
73C2×M16×C151—21no—
74C22×C8×C151—21no—
75C4⋊Q8×C151C2311yescharacteristic
76#127×C151—21no—
77#127×C151—21no—
78#127×C151—21no—
79#127×C151—21no—
80#127×C151C2312yes—
81#127×C151C2311yescharacteristic
82#126×C151—22no—
83#126×C151—21no—
84#125×C151—21no—
85#125×C151D411yescharacteristic
86#124×C151—22no—
87#124×C151D411yescharacteristic
88#124×C151D412yes—
89#123×C151—22no—
90#123×C151—22no—
91#123×C151—22no—
92#123×C151—21no—
93C22⋊Q8×C151—21no—
94C22⋊Q8×C151—22no—
95C22⋊Q8×C151D411yescharacteristic
96#121×C151—22no—
97#121×C151—22no—
98#121×C151—22no—
99#121×C151—22no—
100#121×C151—21no—
101#121×C151—22no—
102#121×C151—21no—
103#121×C151—21no—
104#121×C151—21no—
105#121×C151—21no—
106#121×C151—21no—
107#121×C151—21no—
108#121×C151D411yescharacteristic
109#120×C151—22no—
110#120×C151—22no—
111#120×C151—22no—
112C4×Q8×C151C2311yescharacteristic
113C4×D4×C151—22no—
114C4×D4×C151—22no—
115C4×D4×C151—22no—
116C4×D4×C151—21no—
117C4×D4×C151—21no—
118C4×D4×C151—21no—
119C4×D4×C151—21no—
120C4×D4×C151—21no—
121C4×D4×C151—21no—
122C4×D4×C151—21no—
123C4×D4×C151D411yescharacteristic
124C4×D4×C151D411yescharacteristic
125C4×D4×C151C2311yescharacteristic
126C4×D4×C151C2311yescharacteristic
127C4×D4×C151C2311yescharacteristic
128#117×C151—21no—
129#117×C151—21no—
130#117×C151—21no—
131C2×C4⋊C4×C151—21no—
132C2×C4⋊C4×C151D411yescharacteristic
133C2×C22⋊C4×C151—22no—
134C2×C22⋊C4×C151—22no—
135C2×C22⋊C4×C151—21no—
136C2×C42×C151C2311yescharacteristic
137C4⋊C8×C151—21no—
138C4⋊C8×C151C2312yes—
139C4⋊C8×C151C2312yes—
140#102×C151—22no—
141#102×C151—22no—
142#102×C151—22no—
143#102×C151—22no—
144C22⋊C8×C151—21no—
145#97×C151—21no—
146#97×C151—21no—
147C4×C8×C151C2312yes—
148C24×C151—22no—
149C24×C151—21no—
150C24×C151—41no—
151#41×C151—44no—
152#41×C151—82no—
153C2×Q8×C151C2×D411yescharacteristic
154C2×Q8×C151C2×D412yes—
155C2×D4×C151—22no—
156C2×D4×C151—22no—
157C2×D4×C151—22no—
158C2×D4×C151—21no—
159C2×D4×C151—22no—
160C2×D4×C151—22no—
161C2×D4×C151—22no—
162C2×D4×C151—22no—
163C2×D4×C151—21no—
164C2×D4×C151—21no—
165C2×D4×C151—21no—
166C2×D4×C151—22no—
167C2×D4×C151—22no—
168C2×D4×C151—22no—
169C2×D4×C151—41no—
170C2×D4×C151—42no—
171C2×D4×C151—44no—
172C2×D4×C151—42no—
173C2×D4×C151—42no—
174C2×D4×C151—42no—
175C2×D4×C151—41no—
176C2×D4×C151—41no—
177C2×D4×C151—41no—
178C2×D4×C151—82no—
179C2×D4×C151—82no—
180C2×D4×C151—84no—
181C2×D4×C151C2×D411yescharacteristic
182C2×D4×C151C2×D411yescharacteristic
183C2×D4×C151C2×D411yescharacteristic
184C2×D4×C151C2×D412yes—
185C22×C4×C151—22no—
186C22×C4×C151—22no—
187C22×C4×C151—21no—
188C22×C4×C151—21no—
189C22×C4×C151—21no—
190C22×C4×C151—21no—
191C22×C4×C151—21no—
192C22×C4×C151—22no—
193C22×C4×C151—21no—
194C22×C4×C151—82no—
195C22×C4×C151C2×D411yescharacteristic
196C22×C4×C151C2×D411yescharacteristic
197C22×C4×C151C2×D411yescharacteristic
198SD16×C151—48no—
199SD16×C151—82no—
200D8×C151—48no—
201D8×C151—44no—
202D8×C151—44no—
203D8×C151—82no—
204M16×C151—24no—
205C2×C8×C151—22no—
206C2×C8×C151—22no—
207C2×C8×C151—22no—
208C2×C8×C151—42no—
209C4⋊C4×C151—22no—
210C4⋊C4×C151—22no—
211C4⋊C4×C151—21no—
212C4⋊C4×C151—21no—
213C4⋊C4×C151—21no—
214C4⋊C4×C151—21no—
215C4⋊C4×C151—21no—
216C4⋊C4×C151—21no—
217C4⋊C4×C151—21no—
218C4⋊C4×C151C2×D411yescharacteristic
219C4⋊C4×C151C2×D411yescharacteristic
220C4⋊C4×C151C2×D411yescharacteristic
221C4⋊C4×C151C2×D411yescharacteristic
222C22⋊C4×C151—22no—
223C22⋊C4×C151—22no—
224C22⋊C4×C151—22no—
225C22⋊C4×C151—22no—
226C22⋊C4×C151—22no—
227C22⋊C4×C151—21no—
228C22⋊C4×C151—21no—
229C22⋊C4×C151—21no—
230C22⋊C4×C151—21no—
231C22⋊C4×C151—22no—
232C22⋊C4×C151—21no—
233C22⋊C4×C151—21no—
234C22⋊C4×C151—22no—
235C22⋊C4×C151—21no—
236C22⋊C4×C151—21no—
237C22⋊C4×C151—21no—
238C42×C151—22no—
239C42×C151—21no—
240C42×C151C2×D411yescharacteristic
241C42×C151C2×D411yescharacteristic
242C42×C151C2×D411yescharacteristic
243C42×C151C2411yescharacteristic
244C23×C151—21no—
245C23×C151—21no—
246C23×C151—21no—
247C23×C151—22no—
248C23×C151—42no—
249C23×C151—44no—
250C23×C151—42no—
251C23×C151—42no—
252C23×C151—81no—
253C23×C151—82no—
254C23×C151—82no—
255C23×C151—82no—
256C23×C151—82no—
257C23×C151—82no—
258C23×C151#12011yescharacteristic
259Q8×C151—22no—
260Q8×C151—42no—
261D4×C151—21no—
262D4×C151—21no—
263D4×C151—21no—
264D4×C151—22no—
265D4×C151—42no—
266D4×C151—42no—
267D4×C151—44no—
268D4×C151—44no—
269D4×C151—44no—
270D4×C151—42no—
271D4×C151—41no—
272D4×C151—42no—
273D4×C151—41no—
274D4×C151—42no—
275D4×C151—42no—
276D4×C151—42no—
277D4×C151—42no—
278D4×C151—82no—
279D4×C151—82no—
280D4×C151—82no—
281D4×C151—82no—
282D4×C151—82no—
283D4×C151—82no—
284D4×C151—82no—
285D4×C151AGL(1,ℤ/8)12yescomplemented
286C2×C4×C151—22no—
287C2×C4×C151—21no—
288C2×C4×C151—21no—
289C2×C4×C151—22no—
290C2×C4×C151—21no—
291C2×C4×C151—22no—
292C2×C4×C151—21no—
293C2×C4×C151—21no—
294C2×C4×C151—21no—
295C2×C4×C151—21no—
296C2×C4×C151—41no—
297C2×C4×C151—41no—
298C2×C4×C151—42no—
299C2×C4×C151—42no—
300C2×C4×C151—82no—
301C2×C4×C151—81no—
302C2×C4×C151—81no—
303C2×C4×C151—81no—
304C2×C4×C151—82no—
305C2×C4×C151—82no—
306C2×C4×C151#12011yescharacteristic
307C2×C4×C151#12011yescharacteristic
308C2×C4×C151#12011yescharacteristic
309C2×C4×C151C22×D411yescharacteristic
310C2×C4×C151C22×D411yescharacteristic
311C2×C4×C151C22×D411yescharacteristic
312C8×C151—24no—
313C8×C151—42no—
314C8×C151—42no—
315C22×C151—21no—
316C22×C151—21no—
317C22×C151—22no—
318C22×C151—41no—
319C22×C151—41no—
320C22×C151—41no—
321C22×C151—41no—
322C22×C151—42no—
323C22×C151—41no—
324C22×C151—42no—
325C22×C151—41no—
326C22×C151—42no—
327C22×C151—41no—
328C22×C151—41no—
329C22×C151—84no—
330C22×C151—82no—
331C22×C151—82no—
332C22×C151—82no—
333C22×C151—164no—
334C22×C151—164no—
335C22×C151#45312yes—
336C22×C151C2×#12011yescharacteristic
337C4×C151—21no—
338C4×C151—21no—
339C4×C151—21no—
340C4×C151—21no—
341C4×C151—41no—
342C4×C151—41no—
343C4×C151—41no—
344C4×C151—41no—
345C4×C151—41no—
346C4×C151—42no—
347C4×C151C2×AGL(1,ℤ/8)11yescharacteristic
348C4×C151#57511yescharacteristic
349C4×C151#57612yes—
350C2×C151—22no—
351C2×C151—42no—
352C2×C151—81no—
353C2×C151—82no—
354C2×C151—81no—
355C2×C151—162no—
356C2×C151#300611yescharacteristic
357C2×C151#300811yescharacteristic
358C2×C151C2×#45311yescharacteristic
359#18562C15111yesmaximal, characteristic, direct product factor, Sylow
360C151#1856211yescharacteristic, direct product factor, Sylow
361#3519C2×C15111yescharacteristic, complemented
362#3217C2×C15111yescharacteristic, complemented
363#3151C2×C15111yescharacteristic, complemented
364C2×#459C2×C15111yescharacteristic, complemented
365#1624C2×C15112yescomplemented
366#1622C2×C15112yescomplemented
367#1621C2×C15112yescomplemented
368#1619C2×C15112yescomplemented
369#1551C2×C15111yescharacteristic, complemented
370#1490C2×C15111yescharacteristic, complemented
371#1483C2×C15111yescharacteristic, complemented
372C2×AGL(1,ℤ/8)—22no—
373C22×D8—21no—
374#555C22×C15111yescharacteristic, complemented
375#554C22×C15111yescharacteristic, complemented
376#553—21no—
377#553—21no—
378#550C22×C15111yescharacteristic, complemented
379#546—22no—
380#546—21no—
381D42—21no—
382D42C22×C15111yescharacteristic, complemented
383#540—21no—
384#538—22no—
385#532C22×C15111yescharacteristic
386C2×#127C22×C15111yescharacteristic, complemented
387#529C22×C15111yescharacteristic
388#525—21no—
389C2×#121—21no—
390#518—21no—
391C2×C4×D4C22×C15111yescharacteristic
392#496—22no—
393#496—21no—
394#493C22×C15112yescomplemented
395#492C22×C15112yescomplemented
396#490—21no—
397#460C22×C15112yescomplemented
398#459—21no—
399#459—21no—
400#459C22×C15112yes—
401#459C22×C15112yescomplemented
402#459C22×C15112yescomplemented
403#450—21no—
404#447—21no—
405#432C22×C15111yescharacteristic, complemented
406C2×C4⋊C8C22×C15111yescharacteristic, complemented
407C2×#102—21no—
408C4×M16C22×C15111yescharacteristic, complemented
409#333C22×C15112yescomplemented
410#331C22×C15112yescomplemented
411Q8⋊C8C22×C15112yescomplemented
412D4⋊C8C22×C15112yescomplemented
413D4⋊C8C22×C15112yescomplemented
414D4⋊C8C22×C15112yescomplemented
415C2×#41—21no—
416C2×#41D4×C15112yes—
417C22×D4—22no—
418C22×D4—21no—
419C22×D4—21no—
420C22×D4—21no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4D4×C15111yescharacteristic
424C23×C4—21no—
425AGL(1,ℤ/8)—48no—
426C2×SD16—24no—
427C2×SD16—22no—
428C2×D8—22no—
429C2×D8—22no—
430C2×D8—24no—
431C2×D8—22no—
432C2×D8—44no—
433C2×M16—21no—
434C22×C8—21no—
435C4⋊Q8C23×C15111yescharacteristic
436#127—21no—
437#127—21no—
438#127—21no—
439#127—21no—
440#127C23×C15112yes—
441#127C23×C15111yescharacteristic
442#126—22no—
443#126—21no—
444#125—21no—
445#125D4×C15111yescharacteristic
446#124—22no—
447#124D4×C15111yescharacteristic
448#124D4×C15112yes—
449#123—22no—
450#123—22no—
451#123—22no—
452#123—21no—
453C22⋊Q8—21no—
454C22⋊Q8—22no—
455C22⋊Q8D4×C15111yescharacteristic
456#121—22no—
457#121—22no—
458#121—22no—
459#121—22no—
460#121—21no—
461#121—22no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121D4×C15111yescharacteristic
469#120—22no—
470#120—22no—
471#120—22no—
472C4×Q8C23×C15111yescharacteristic
473C4×D4—22no—
474C4×D4—22no—
475C4×D4—22no—
476C4×D4—21no—
477C4×D4—21no—
478C4×D4—21no—
479C4×D4—21no—
480C4×D4—21no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4D4×C15111yescharacteristic
484C4×D4D4×C15111yescharacteristic
485C4×D4C23×C15111yescharacteristic
486C4×D4C23×C15111yescharacteristic
487C4×D4C23×C15111yescharacteristic
488#117—21no—
489#117—21no—
490#117—21no—
491C2×C4⋊C4—21no—
492C2×C4⋊C4D4×C15111yescharacteristic
493C2×C22⋊C4—22no—
494C2×C22⋊C4—22no—
495C2×C22⋊C4—21no—
496C2×C42C23×C15111yescharacteristic
497C4⋊C8—21no—
498C4⋊C8C23×C15112yes—
499C4⋊C8C23×C15112yes—
500#102—22no—
501#102—22no—
502#102—22no—
503#102—22no—
504C22⋊C8—21no—
505#97—21no—
506#97—21no—
507C4×C8C23×C15112yes—
508C24—22no—
509C24—21no—
510C24—41no—
511#41—44no—
512#41—82no—
513C2×Q8C2×D4×C15111yescharacteristic
514C2×Q8C2×D4×C15112yes—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—22no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—41no—
530C2×D4—42no—
531C2×D4—44no—
532C2×D4—42no—
533C2×D4—42no—
534C2×D4—42no—
535C2×D4—41no—
536C2×D4—41no—
537C2×D4—41no—
538C2×D4—82no—
539C2×D4—82no—
540C2×D4—84no—
541C2×D4C2×D4×C15111yescharacteristic
542C2×D4C2×D4×C15111yescharacteristic
543C2×D4C2×D4×C15111yescharacteristic
544C2×D4C2×D4×C15112yes—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—22no—
553C22×C4—21no—
554C22×C4—82no—
555C22×C4C2×D4×C15111yescharacteristic
556C22×C4C2×D4×C15111yescharacteristic
557C22×C4C2×D4×C15111yescharacteristic
558SD16—48no—
559SD16—82no—
560D8—48no—
561D8—44no—
562D8—44no—
563D8—82no—
564M16—24no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—42no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4C2×D4×C15111yescharacteristic
579C4⋊C4C2×D4×C15111yescharacteristic
580C4⋊C4C2×D4×C15111yescharacteristic
581C4⋊C4C2×D4×C15111yescharacteristic
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—21no—
588C22⋊C4—21no—
589C22⋊C4—21no—
590C22⋊C4—21no—
591C22⋊C4—22no—
592C22⋊C4—21no—
593C22⋊C4—21no—
594C22⋊C4—22no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—21no—
598C42—22no—
599C42—21no—
600C42C2×D4×C15111yescharacteristic
601C42C2×D4×C15111yescharacteristic
602C42C2×D4×C15111yescharacteristic
603C42C24×C15111yescharacteristic
604C23—21no—
605C23—21no—
606C23—21no—
607C23—22no—
608C23—42no—
609C23—44no—
610C23—42no—
611C23—42no—
612C23—81no—
613C23—82no—
614C23—82no—
615C23—82no—
616C23—82no—
617C23—82no—
618C23#120×C15111yescharacteristic
619Q8—22no—
620Q8—42no—
621D4—21no—
622D4—21no—
623D4—21no—
624D4—22no—
625D4—42no—
626D4—42no—
627D4—44no—
628D4—44no—
629D4—42no—
630D4—44no—
631D4—41no—
632D4—42no—
633D4—41no—
634D4—42no—
635D4—42no—
636D4—42no—
637D4—42no—
638D4—82no—
639D4—82no—
640D4—82no—
641D4—82no—
642D4—82no—
643D4—82no—
644D4—82no—
645D4AGL(1,ℤ/8)×C15112yescomplemented
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—81no—
661C2×C4—81no—
662C2×C4—82no—
663C2×C4—81no—
664C2×C4—82no—
665C2×C4—82no—
666C2×C4#120×C15111yescharacteristic
667C2×C4#120×C15111yescharacteristic
668C2×C4#120×C15111yescharacteristic
669C2×C4C22×D4×C15111yescharacteristic
670C2×C4C22×D4×C15111yescharacteristic
671C2×C4C22×D4×C15111yescharacteristic
672C8—24no—
673C8—42no—
674C8—42no—
675C22—21no—
676C22—21no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—42no—
683C22—41no—
684C22—42no—
685C22—41no—
686C22—42no—
687C22—41no—
688C22—41no—
689C22—84no—
690C22—82no—
691C22—82no—
692C22—82no—
693C22—164no—
694C22—164no—
695C22#453×C15112yes—
696C22C2×#120×C15111yescharacteristic
697C4—21no—
698C4—21no—
699C4—21no—
700C4—21no—
701C4—41no—
702C4—41no—
703C4—41no—
704C4—41no—
705C4—41no—
706C4—42no—
707C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
708C4#575×C15111yescharacteristic
709C4#576×C15112yes—
710C2—22no—
711C2—42no—
712C2—81no—
713C2—81no—
714C2—82no—
715C2—162no—
716C2#3006×C15111yescharacteristic
717C2#3008×C15111yescharacteristic
718C2C2×#453×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. #3519×C151C2semidirect
2. #3217×C151C2semidirect
3. #3151×C151C2semidirect
4. C2×#459×C151C2semidirect
5. #1624×C151C2semidirect
6. #1622×C151C2semidirect
7. #1621×C151C2semidirect
8. #1619×C151C2semidirect
9. #1551×C151C2semidirect
10. #1490×C151C2semidirect
11. #1483×C151C2semidirect
14. #555×C151C22semidirect
15. #554×C151C22semidirect
18. #550×C151C22semidirect
22. D42×C151C22semidirect
26. C2×#127×C151C22semidirect
34. #493×C151C22semidirect
35. #492×C151C22semidirect
37. #460×C151C22semidirect
41. #459×C151C22semidirect
42. #459×C151C22semidirect
45. #432×C151C22semidirect
46. C2×C4⋊C8×C151C22semidirect
48. C4×M16×C151C22semidirect
49. #333×C151C22semidirect
50. #331×C151C22semidirect
51. Q8⋊C8×C151C22semidirect
52. D4⋊C8×C151C22semidirect
53. D4⋊C8×C151C22semidirect
54. D4⋊C8×C151C22semidirect
285. D4×C151AGL(1,ℤ/8)semidirect
359. #18562C151direct (N × H)
360. C151#18562direct (N × H)
361. #3519C2×C151semidirect
362. #3217C2×C151semidirect
363. #3151C2×C151semidirect
364. C2×#459C2×C151semidirect
365. #1624C2×C151semidirect
366. #1622C2×C151semidirect
367. #1621C2×C151semidirect
368. #1619C2×C151semidirect
369. #1551C2×C151semidirect
370. #1490C2×C151semidirect
371. #1483C2×C151semidirect
374. #555C22×C151semidirect
375. #554C22×C151semidirect
378. #550C22×C151semidirect
382. D42C22×C151semidirect
386. C2×#127C22×C151semidirect
394. #493C22×C151semidirect
395. #492C22×C151semidirect
397. #460C22×C151semidirect
401. #459C22×C151semidirect
402. #459C22×C151semidirect
405. #432C22×C151semidirect
406. C2×C4⋊C8C22×C151semidirect
408. C4×M16C22×C151semidirect
409. #333C22×C151semidirect
410. #331C22×C151semidirect
411. Q8⋊C8C22×C151semidirect
412. D4⋊C8C22×C151semidirect
413. D4⋊C8C22×C151semidirect
414. D4⋊C8C22×C151semidirect
645. 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
#3519×C1512
#3217×C1512
#3151×C1512
C2×#459×C1512
#1624×C1512
#1622×C1512
#1621×C1512
#1619×C1512
#1551×C1512
#1490×C1512
#1483×C1512
#18562151