Finite Group Databasebeta

← C151×#18790 #50323715

Subgroups — C151×#18790 #50323715

Order 38656.

1054 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3480×C151C211yesmaximal, characteristic, complemented
2#3205×C151C211yesmaximal, characteristic, complemented
3#3038×C151C211yesmaximal, characteristic, complemented
4C2×#460×C151C211yesmaximal, characteristic, complemented
5#1628×C151C212yesmaximal, complemented
6#1626×C151C212yesmaximal, complemented
7#1621×C151C212yesmaximal, complemented
8#1620×C151C212yesmaximal, complemented
9#1547×C151C211yesmaximal, characteristic, complemented
10#1487×C151C211yesmaximal, characteristic, complemented
11#1477×C151C211yesmaximal, characteristic, complemented
12C2×AGL(1,ℤ/8)×C151—21no—
13C22×SD16×C151—21no—
14#559×C151—21no—
15#559×C151C2211yescharacteristic, complemented
16#557×C151C2211yescharacteristic, complemented
17#556×C151—21no—
18#556×C151C2211yescharacteristic, complemented
19#553×C151—22no—
20#553×C151—21no—
21#550×C151C2211yescharacteristic, complemented
22#548×C151—21no—
23#532×C151—21no—
24#532×C151C2211yescharacteristic
25C2×#127×C151C2211yescharacteristic
26#529×C151—21no—
27#529×C151—22no—
28C4×#41×C151—21no—
29C4×#41×C151—21no—
30C4×#41×C151C2211yescharacteristic
31C2×C4×Q8×C151C2211yescharacteristic
32#493×C151C2212yes—
33#486×C151C2212yes—
34#460×C151—21no—
35#460×C151—21no—
36#460×C151—21no—
37#460×C151C2212yes—
38#460×C151C2212yes—
39#460×C151C2212yes—
40#459×C151—22no—
41#459×C151—21no—
42#459×C151C2212yes—
43#447×C151—22no—
44#431×C151C2211yescharacteristic
45#423×C151C2211yescharacteristic
46C2×C4⋊C8×C151C2211yescharacteristic
47#418×C151—21no—
48C2×#102×C151—21no—
49#332×C151C2212yescomplemented
50#331×C151C2212yescomplemented
51Q8⋊C8×C151C2212yescomplemented
52Q8⋊C8×C151C2212yescomplemented
53Q8⋊C8×C151C2212yescomplemented
54D4⋊C8×C151C2212yescomplemented
55C2×#41×C151—21no—
56C2×#41×C151—21no—
57C2×#41×C151D411yescharacteristic
58C22×Q8×C151D411yescharacteristic
59C22×D4×C151—21no—
60C22×D4×C151—21no—
61C22×D4×C151—21no—
62AGL(1,ℤ/8)×C151—44no—
63C2×SD16×C151—22no—
64C2×SD16×C151—22no—
65C2×SD16×C151—22no—
66C2×SD16×C151—44no—
67C2×D8×C151—22no—
68C2×D8×C151—24no—
69C2×M16×C151—21no—
70C22×C8×C151—21no—
71C4⋊Q8×C151—21no—
72C4⋊Q8×C151C2311yescharacteristic
73#127×C151—21no—
74#127×C151—21no—
75#127×C151—21no—
76#127×C151—21no—
77#127×C151C2312yes—
78#127×C151C2311yescharacteristic
79#126×C151—22no—
80#126×C151—22no—
81#126×C151—22no—
82#125×C151—22no—
83#125×C151—21no—
84#124×C151—22no—
85#124×C151—21no—
86#124×C151—21no—
87#124×C151—21no—
88#124×C151—21no—
89#123×C151—22no—
90#123×C151—22no—
91#123×C151—22no—
92C22⋊Q8×C151—22no—
93C22⋊Q8×C151—21no—
94#121×C151—22no—
95#121×C151—22no—
96#121×C151—22no—
97#121×C151—21no—
98#121×C151—21no—
99#121×C151D412yes—
100C4×Q8×C151—21no—
101C4×Q8×C151—21no—
102C4×Q8×C151—21no—
103C4×Q8×C151—21no—
104C4×Q8×C151—21no—
105C4×Q8×C151D411yescharacteristic
106C4×Q8×C151D411yescharacteristic
107C4×Q8×C151D411yescharacteristic
108C4×Q8×C151C2311yescharacteristic
109C4×Q8×C151C2311yescharacteristic
110C4×Q8×C151C2311yescharacteristic
111C4×D4×C151—22no—
112C4×D4×C151—22no—
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×C151D411yescharacteristic
123C4×D4×C151D412yes—
124C4×D4×C151C2311yescharacteristic
125#117×C151—22no—
126#117×C151—22no—
127#117×C151—21no—
128#117×C151—21no—
129#117×C151D411yescharacteristic
130C2×C4⋊C4×C151—21no—
131C2×C4⋊C4×C151D411yescharacteristic
132C2×C42×C151—22no—
133C2×C42×C151—21no—
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—41no—
149#41×C151—22no—
150#41×C151—22no—
151#41×C151—42no—
152#41×C151—42no—
153#41×C151—42no—
154#41×C151—42no—
155C2×Q8×C151—21no—
156C2×Q8×C151—21no—
157C2×Q8×C151—22no—
158C2×Q8×C151—41no—
159C2×Q8×C151C2×D411yescharacteristic
160C2×Q8×C151C2×D411yescharacteristic
161C2×Q8×C151C2×D411yescharacteristic
162C2×D4×C151—22no—
163C2×D4×C151—21no—
164C2×D4×C151—22no—
165C2×D4×C151—22no—
166C2×D4×C151—21no—
167C2×D4×C151—21no—
168C2×D4×C151—22no—
169C2×D4×C151—22no—
170C2×D4×C151—22no—
171C2×D4×C151—42no—
172C2×D4×C151—42no—
173C2×D4×C151—41no—
174C2×D4×C151—41no—
175C2×D4×C151—41no—
176C2×D4×C151—42no—
177C2×D4×C151—42no—
178C2×D4×C151—82no—
179C2×D4×C151C2×D411yescharacteristic
180C2×D4×C151C2×D412yes—
181C22×C4×C151—22no—
182C22×C4×C151—21no—
183C22×C4×C151—22no—
184C22×C4×C151—21no—
185C22×C4×C151—21no—
186C22×C4×C151—22no—
187C22×C4×C151—21no—
188C22×C4×C151—21no—
189C22×C4×C151C2×D411yescharacteristic
190C22×C4×C151C2×D411yescharacteristic
191C22×C4×C151C2×D411yescharacteristic
192SD16×C151—44no—
193SD16×C151—44no—
194SD16×C151—44no—
195D8×C151—44no—
196D8×C151—84no—
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—21no—
208C4⋊C4×C151—21no—
209C4⋊C4×C151—21no—
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—22no—
229C22⋊C4×C151—21no—
230C42×C151—22no—
231C42×C151—22no—
232C42×C151—21no—
233C42×C151—21no—
234C42×C151—21no—
235C42×C151—21no—
236C42×C151—21no—
237C42×C151—21no—
238C42×C151—21no—
239C42×C151C2×D411yescharacteristic
240C42×C151C2×D411yescharacteristic
241C42×C151C2×D411yescharacteristic
242C42×C151C2411yescharacteristic
243C23×C151—21no—
244C23×C151—22no—
245C23×C151—42no—
246C23×C151—82no—
247C23×C151—82no—
248C23×C151—82no—
249C23×C151#12011yescharacteristic
250Q8×C151—21no—
251Q8×C151—21no—
252Q8×C151—21no—
253Q8×C151—21no—
254Q8×C151—21no—
255Q8×C151—42no—
256Q8×C151—41no—
257Q8×C151—41no—
258Q8×C151AGL(1,ℤ/8)12yescomplemented
259D4×C151—21no—
260D4×C151—21no—
261D4×C151—42no—
262D4×C151—44no—
263D4×C151—44no—
264D4×C151—42no—
265D4×C151—44no—
266D4×C151—41no—
267D4×C151—42no—
268D4×C151—41no—
269D4×C151—41no—
270D4×C151—42no—
271D4×C151—42no—
272D4×C151—41no—
273D4×C151—42no—
274D4×C151—82no—
275D4×C151—82no—
276D4×C151—82no—
277D4×C151—82no—
278C2×C4×C151—21no—
279C2×C4×C151—21no—
280C2×C4×C151—21no—
281C2×C4×C151—21no—
282C2×C4×C151—22no—
283C2×C4×C151—21no—
284C2×C4×C151—21no—
285C2×C4×C151—21no—
286C2×C4×C151—21no—
287C2×C4×C151—21no—
288C2×C4×C151—41no—
289C2×C4×C151—42no—
290C2×C4×C151—44no—
291C2×C4×C151—41no—
292C2×C4×C151—41no—
293C2×C4×C151—42no—
294C2×C4×C151—44no—
295C2×C4×C151—81no—
296C2×C4×C151—81no—
297C2×C4×C151—82no—
298C2×C4×C151#12011yescharacteristic
299C2×C4×C151#12011yescharacteristic
300C2×C4×C151#12011yescharacteristic
301C2×C4×C151#13512yes—
302C2×C4×C151AGL(1,ℤ/8)12yes—
303C2×C4×C151C22×D411yescharacteristic
304C2×C4×C151C22×D411yescharacteristic
305C2×C4×C151C22×D411yescharacteristic
306C8×C151—42no—
307C8×C151—42no—
308C8×C151—42no—
309C22×C151—21no—
310C22×C151—21no—
311C22×C151—41no—
312C22×C151—42no—
313C22×C151—42no—
314C22×C151—41no—
315C22×C151—42no—
316C22×C151—41no—
317C22×C151—82no—
318C22×C151—82no—
319C22×C151—82no—
320C22×C151—164no—
321C22×C151#44912yes—
322C22×C151C2×#12011yescharacteristic
323C4×C151—21no—
324C4×C151—22no—
325C4×C151—21no—
326C4×C151—21no—
327C4×C151—41no—
328C4×C151—42no—
329C4×C151—41no—
330C4×C151—41no—
331C4×C151—41no—
332C4×C151—41no—
333C4×C151—41no—
334C4×C151#44912yes—
335C4×C151C2×#13511yescharacteristic
336C4×C151C2×AGL(1,ℤ/8)11yescharacteristic
337C4×C151C2×AGL(1,ℤ/8)11yescharacteristic
338C4×C151#57511yescharacteristic
339C2×C151—22no—
340C2×C151—81no—
341C2×C151—82no—
342C2×C151—162no—
343C2×C151C2×#44911yescharacteristic
344C2×C151#300611yescharacteristic
345C2×C151#302111yescharacteristic
346#18790C15111yesmaximal, characteristic, direct product factor, Sylow
347C151#1879011yescharacteristic, direct product factor, Sylow
348#3480C2×C15111yescharacteristic, complemented
349#3205C2×C15111yescharacteristic, complemented
350#3038C2×C15111yescharacteristic, complemented
351C2×#460C2×C15111yescharacteristic, complemented
352#1628C2×C15112yescomplemented
353#1626C2×C15112yescomplemented
354#1621C2×C15112yescomplemented
355#1620C2×C15112yescomplemented
356#1547C2×C15111yescharacteristic, complemented
357#1487C2×C15111yescharacteristic, complemented
358#1477C2×C15111yescharacteristic, complemented
359C2×AGL(1,ℤ/8)—21no—
360C22×SD16—21no—
361#559—21no—
362#559C22×C15111yescharacteristic, complemented
363#557C22×C15111yescharacteristic, complemented
364#556—21no—
365#556C22×C15111yescharacteristic, complemented
366#553—22no—
367#553—21no—
368#550C22×C15111yescharacteristic, complemented
369#548—21no—
370#532—21no—
371#532C22×C15111yescharacteristic
372C2×#127C22×C15111yescharacteristic
373#529—21no—
374#529—22no—
375C4×#41—21no—
376C4×#41—21no—
377C4×#41C22×C15111yescharacteristic
378C2×C4×Q8C22×C15111yescharacteristic
379#493C22×C15112yes—
380#486C22×C15112yes—
381#460—21no—
382#460—21no—
383#460—21no—
384#460C22×C15112yes—
385#460C22×C15112yes—
386#460C22×C15112yes—
387#459—22no—
388#459—21no—
389#459C22×C15112yes—
390#447—22no—
391#431C22×C15111yescharacteristic
392#423C22×C15111yescharacteristic
393C2×C4⋊C8C22×C15111yescharacteristic
394#418—21no—
395C2×#102—21no—
396#332C22×C15112yescomplemented
397#331C22×C15112yescomplemented
398Q8⋊C8C22×C15112yescomplemented
399Q8⋊C8C22×C15112yescomplemented
400Q8⋊C8C22×C15112yescomplemented
401D4⋊C8C22×C15112yescomplemented
402C2×#41—21no—
403C2×#41—21no—
404C2×#41D4×C15111yescharacteristic
405C22×Q8D4×C15111yescharacteristic
406C22×D4—21no—
407C22×D4—21no—
408C22×D4—21no—
409AGL(1,ℤ/8)—44no—
410C2×SD16—22no—
411C2×SD16—22no—
412C2×SD16—22no—
413C2×SD16—44no—
414C2×D8—22no—
415C2×D8—24no—
416C2×M16—21no—
417C22×C8—21no—
418C4⋊Q8—21no—
419C4⋊Q8C23×C15111yescharacteristic
420#127—21no—
421#127—21no—
422#127—21no—
423#127—21no—
424#127C23×C15112yes—
425#127C23×C15111yescharacteristic
426#126—22no—
427#126—22no—
428#126—22no—
429#125—22no—
430#125—21no—
431#124—22no—
432#124—21no—
433#124—21no—
434#124—21no—
435#124—21no—
436#123—22no—
437#123—22no—
438#123—22no—
439C22⋊Q8—22no—
440C22⋊Q8—21no—
441#121—22no—
442#121—22no—
443#121—22no—
444#121—21no—
445#121—21no—
446#121D4×C15112yes—
447C4×Q8—21no—
448C4×Q8—21no—
449C4×Q8—21no—
450C4×Q8—21no—
451C4×Q8—21no—
452C4×Q8D4×C15111yescharacteristic
453C4×Q8D4×C15111yescharacteristic
454C4×Q8D4×C15111yescharacteristic
455C4×Q8C23×C15111yescharacteristic
456C4×Q8C23×C15111yescharacteristic
457C4×Q8C23×C15111yescharacteristic
458C4×D4—22no—
459C4×D4—22no—
460C4×D4—22no—
461C4×D4—22no—
462C4×D4—22no—
463C4×D4—21no—
464C4×D4—21no—
465C4×D4—21no—
466C4×D4—21no—
467C4×D4—21no—
468C4×D4—21no—
469C4×D4D4×C15111yescharacteristic
470C4×D4D4×C15112yes—
471C4×D4C23×C15111yescharacteristic
472#117—22no—
473#117—22no—
474#117—21no—
475#117—21no—
476#117D4×C15111yescharacteristic
477C2×C4⋊C4—21no—
478C2×C4⋊C4D4×C15111yescharacteristic
479C2×C42—22no—
480C2×C42—21no—
481C2×C42—21no—
482C2×C42C23×C15111yescharacteristic
483C4⋊C8—21no—
484C4⋊C8—21no—
485C4⋊C8—21no—
486C4⋊C8C23×C15112yes—
487C4⋊C8C23×C15112yes—
488#102—22no—
489#102—22no—
490#102—22no—
491#102—22no—
492#102—24no—
493C22⋊C8—21no—
494C4×C8C23×C15112yes—
495C24—41no—
496#41—22no—
497#41—22no—
498#41—42no—
499#41—42no—
500#41—42no—
501#41—42no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—22no—
505C2×Q8—41no—
506C2×Q8C2×D4×C15111yescharacteristic
507C2×Q8C2×D4×C15111yescharacteristic
508C2×Q8C2×D4×C15111yescharacteristic
509C2×D4—22no—
510C2×D4—21no—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—41no—
521C2×D4—41no—
522C2×D4—41no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—82no—
526C2×D4C2×D4×C15111yescharacteristic
527C2×D4C2×D4×C15112yes—
528C22×C4—22no—
529C22×C4—21no—
530C22×C4—22no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4C2×D4×C15111yescharacteristic
537C22×C4C2×D4×C15111yescharacteristic
538C22×C4C2×D4×C15111yescharacteristic
539SD16—44no—
540SD16—44no—
541SD16—44no—
542D8—44no—
543D8—84no—
544M16—42no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—42no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4C2×D4×C15111yescharacteristic
562C4⋊C4C2×D4×C15111yescharacteristic
563C4⋊C4C2×D4×C15111yescharacteristic
564C4⋊C4C2×D4×C15111yescharacteristic
565C4⋊C4C2×D4×C15112yes—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—21no—
573C22⋊C4—22no—
574C22⋊C4—21no—
575C22⋊C4—22no—
576C22⋊C4—21no—
577C42—22no—
578C42—22no—
579C42—21no—
580C42—21no—
581C42—21no—
582C42—21no—
583C42—21no—
584C42—21no—
585C42—21no—
586C42C2×D4×C15111yescharacteristic
587C42C2×D4×C15111yescharacteristic
588C42C2×D4×C15111yescharacteristic
589C42C24×C15111yescharacteristic
590C23—21no—
591C23—22no—
592C23—42no—
593C23—82no—
594C23—82no—
595C23—82no—
596C23#120×C15111yescharacteristic
597Q8—21no—
598Q8—21no—
599Q8—21no—
600Q8—21no—
601Q8—21no—
602Q8—42no—
603Q8—41no—
604Q8—41no—
605Q8AGL(1,ℤ/8)×C15112yescomplemented
606D4—21no—
607D4—21no—
608D4—42no—
609D4—44no—
610D4—44no—
611D4—42no—
612D4—44no—
613D4—41no—
614D4—42no—
615D4—41no—
616D4—41no—
617D4—42no—
618D4—42no—
619D4—41no—
620D4—42no—
621D4—82no—
622D4—82no—
623D4—82no—
624D4—82no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—41no—
636C2×C4—42no—
637C2×C4—44no—
638C2×C4—42no—
639C2×C4—44no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—81no—
643C2×C4—81no—
644C2×C4—82no—
645C2×C4#120×C15111yescharacteristic
646C2×C4#120×C15111yescharacteristic
647C2×C4#120×C15111yescharacteristic
648C2×C4#135×C15112yes—
649C2×C4AGL(1,ℤ/8)×C15112yes—
650C2×C4C22×D4×C15111yescharacteristic
651C2×C4C22×D4×C15111yescharacteristic
652C2×C4C22×D4×C15111yescharacteristic
653C8—42no—
654C8—42no—
655C8—42no—
656C22—21no—
657C22—21no—
658C22—41no—
659C22—42no—
660C22—42no—
661C22—41no—
662C22—42no—
663C22—41no—
664C22—82no—
665C22—82no—
666C22—82no—
667C22—164no—
668C22#449×C15112yes—
669C22C2×#120×C15111yescharacteristic
670C4—21no—
671C4—22no—
672C4—21no—
673C4—21no—
674C4—41no—
675C4—42no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—41no—
681C4#449×C15112yes—
682C4C2×#135×C15111yescharacteristic
683C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
684C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
685C4#575×C15111yescharacteristic
686C2—22no—
687C2—81no—
688C2—82no—
689C2—162no—
690C2C2×#449×C15111yescharacteristic
691C2#3006×C15111yescharacteristic
692C2#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. #3480×C151C2semidirect
2. #3205×C151C2semidirect
3. #3038×C151C2semidirect
4. C2×#460×C151C2semidirect
5. #1628×C151C2semidirect
6. #1626×C151C2semidirect
7. #1621×C151C2semidirect
8. #1620×C151C2semidirect
9. #1547×C151C2semidirect
10. #1487×C151C2semidirect
11. #1477×C151C2semidirect
15. #559×C151C22semidirect
16. #557×C151C22semidirect
18. #556×C151C22semidirect
21. #550×C151C22semidirect
49. #332×C151C22semidirect
50. #331×C151C22semidirect
51. Q8⋊C8×C151C22semidirect
52. Q8⋊C8×C151C22semidirect
53. Q8⋊C8×C151C22semidirect
54. D4⋊C8×C151C22semidirect
258. Q8×C151AGL(1,ℤ/8)semidirect
346. #18790C151direct (N × H)
347. C151#18790direct (N × H)
348. #3480C2×C151semidirect
349. #3205C2×C151semidirect
350. #3038C2×C151semidirect
351. C2×#460C2×C151semidirect
352. #1628C2×C151semidirect
353. #1626C2×C151semidirect
354. #1621C2×C151semidirect
355. #1620C2×C151semidirect
356. #1547C2×C151semidirect
357. #1487C2×C151semidirect
358. #1477C2×C151semidirect
362. #559C22×C151semidirect
363. #557C22×C151semidirect
365. #556C22×C151semidirect
368. #550C22×C151semidirect
396. #332C22×C151semidirect
397. #331C22×C151semidirect
398. Q8⋊C8C22×C151semidirect
399. Q8⋊C8C22×C151semidirect
400. Q8⋊C8C22×C151semidirect
401. D4⋊C8C22×C151semidirect
605. Q8AGL(1,ℤ/8)×C151semidirect

Maximal subgroups

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

subgroupindex
#3480×C1512
#3205×C1512
#3038×C1512
C2×#460×C1512
#1628×C1512
#1626×C1512
#1621×C1512
#1620×C1512
#1547×C1512
#1487×C1512
#1477×C1512
#18790151