Finite Group Databasebeta

← C151×#18563 #50323488

Subgroups — C151×#18563 #50323488

Order 38656.

1060 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3519×C151C211yesmaximal, characteristic
2#3238×C151C211yesmaximal, characteristic, complemented
3#3152×C151C211yesmaximal, characteristic, complemented
4C2×#476×C151C211yesmaximal, characteristic, complemented
5#1634×C151C212yesmaximal, complemented
6#1632×C151C212yesmaximal, complemented
7#1631×C151C212yesmaximal, complemented
8#1629×C151C212yesmaximal, complemented
9#1551×C151C211yesmaximal, characteristic, complemented
10#1490×C151C211yesmaximal, characteristic, complemented
11#1483×C151C211yesmaximal, characteristic, complemented
12C2×#137×C151—22no—
13#555×C151C2211yescharacteristic
14#554×C151C2211yescharacteristic
15#553×C151—21no—
16#553×C151—21no—
17#550×C151C2211yescharacteristic
18#546×C151—22no—
19#546×C151—21no—
20D42×C151—21no—
21D42×C151C2211yescharacteristic
22#540×C151—21no—
23#538×C151—22no—
24#532×C151C2211yescharacteristic
25C2×C4⋊Q8×C151C2211yescharacteristic, complemented
26#529×C151C2211yescharacteristic
27#525×C151—21no—
28C2×#121×C151—21no—
29#518×C151—21no—
30C2×C4×D4×C151C2211yescharacteristic
31#501×C151—21no—
32#497×C151—22no—
33#494×C151C2212yescomplemented
34#492×C151C2212yescomplemented
35#489×C151—21no—
36#483×C151—21no—
37#480×C151—21no—
38#477×C151C2212yescomplemented
39#476×C151—21no—
40#476×C151—21no—
41#476×C151C2212yes—
42#476×C151C2212yescomplemented
43#476×C151C2212yescomplemented
44#432×C151C2211yescharacteristic, complemented
45C2×#106×C151—21no—
46C2×C4⋊C8×C151C2211yescharacteristic, complemented
47C2×#102×C151—21no—
48C4×M16×C151C2211yescharacteristic, complemented
49#333×C151C2212yescomplemented
50#331×C151C2212yescomplemented
51Q8⋊C8×C151C2212yescomplemented
52D4⋊C8×C151C2212yes—
53D4⋊C8×C151C2212yescomplemented
54D4⋊C8×C151C2212yescomplemented
55C2×#41×C151—21no—
56C2×#41×C151D412yes—
57C22×Q8×C151—21no—
58C22×D4×C151—22no—
59C22×D4×C151—21no—
60C22×D4×C151—21no—
61C22×D4×C151D411yescharacteristic
62C23×C4×C151—21no—
63#137×C151—48no—
64C2×Q16×C151—24no—
65C2×SD16×C151—24no—
66C2×M16×C151—21no—
67C22×C8×C151—21no—
68C4⋊Q8×C151—21no—
69C4⋊Q8×C151—21no—
70C4⋊Q8×C151—21no—
71C4⋊Q8×C151C2312yes—
72C4⋊Q8×C151C2311yescharacteristic
73#127×C151—21no—
74#127×C151C2311yescharacteristic
75#126×C151—22no—
76#126×C151—21no—
77#125×C151—21no—
78#125×C151D411yescharacteristic
79#124×C151—22no—
80#124×C151D411yescharacteristic
81#124×C151D412yes—
82#123×C151—22no—
83#123×C151—22no—
84#123×C151—22no—
85#123×C151—21no—
86C22⋊Q8×C151—21no—
87C22⋊Q8×C151—22no—
88C22⋊Q8×C151D411yescharacteristic
89#121×C151—22no—
90#121×C151—22no—
91#121×C151—22no—
92#121×C151—22no—
93#121×C151—21no—
94#121×C151—22no—
95#121×C151—21no—
96#121×C151—21no—
97#121×C151—21no—
98#121×C151—21no—
99#121×C151—21no—
100#121×C151—21no—
101#121×C151D411yescharacteristic
102#120×C151—22no—
103#120×C151—22no—
104#120×C151—22no—
105C4×Q8×C151C2311yescharacteristic
106C4×D4×C151—22no—
107C4×D4×C151—22no—
108C4×D4×C151—22no—
109C4×D4×C151—21no—
110C4×D4×C151—21no—
111C4×D4×C151—21no—
112C4×D4×C151—21no—
113C4×D4×C151—21no—
114C4×D4×C151—21no—
115C4×D4×C151—21no—
116C4×D4×C151D411yescharacteristic
117C4×D4×C151D411yescharacteristic
118C4×D4×C151C2311yescharacteristic
119C4×D4×C151C2311yescharacteristic
120C4×D4×C151C2311yescharacteristic
121#117×C151—21no—
122#117×C151—21no—
123#117×C151—21no—
124C2×C4⋊C4×C151—21no—
125C2×C4⋊C4×C151—21no—
126C2×C4⋊C4×C151—21no—
127C2×C4⋊C4×C151D411yescharacteristic
128C2×C22⋊C4×C151—22no—
129C2×C22⋊C4×C151—22no—
130C2×C22⋊C4×C151—21no—
131C2×C42×C151C2311yescharacteristic
132#107×C151—22no—
133#106×C151—22no—
134#106×C151—22no—
135#106×C151—22no—
136C4⋊C8×C151—21no—
137C4⋊C8×C151C2312yes—
138C4⋊C8×C151C2312yes—
139#103×C151—22no—
140#102×C151—22no—
141#102×C151—22no—
142#102×C151—22no—
143C22⋊C8×C151—21no—
144#97×C151—21no—
145#97×C151—21no—
146C4×C8×C151C2312yes—
147C24×C151—22no—
148C24×C151—21no—
149#41×C151—44no—
150#41×C151—82no—
151C2×Q8×C151—22no—
152C2×Q8×C151—44no—
153C2×Q8×C151—41no—
154C2×Q8×C151C2×D411yescharacteristic
155C2×Q8×C151C2×D412yes—
156C2×D4×C151—22no—
157C2×D4×C151—22no—
158C2×D4×C151—22no—
159C2×D4×C151—21no—
160C2×D4×C151—22no—
161C2×D4×C151—22no—
162C2×D4×C151—22no—
163C2×D4×C151—22no—
164C2×D4×C151—21no—
165C2×D4×C151—21no—
166C2×D4×C151—21no—
167C2×D4×C151—41no—
168C2×D4×C151—42no—
169C2×D4×C151—42no—
170C2×D4×C151—82no—
171C2×D4×C151—84no—
172C2×D4×C151C2×D411yescharacteristic
173C2×D4×C151C2×D411yescharacteristic
174C2×D4×C151C2×D411yescharacteristic
175C2×D4×C151C2×D412yes—
176C22×C4×C151—22no—
177C22×C4×C151—22no—
178C22×C4×C151—21no—
179C22×C4×C151—21no—
180C22×C4×C151—21no—
181C22×C4×C151—21no—
182C22×C4×C151—21no—
183C22×C4×C151—22no—
184C22×C4×C151—21no—
185C22×C4×C151—41no—
186C22×C4×C151—82no—
187C22×C4×C151C2×D411yescharacteristic
188C22×C4×C151C2×D411yescharacteristic
189C22×C4×C151C2×D411yescharacteristic
190Q16×C151—48no—
191SD16×C151—48no—
192M16×C151—24no—
193C2×C8×C151—22no—
194C2×C8×C151—22no—
195C2×C8×C151—22no—
196C2×C8×C151—42no—
197C4⋊C4×C151—22no—
198C4⋊C4×C151—22no—
199C4⋊C4×C151—21no—
200C4⋊C4×C151—21no—
201C4⋊C4×C151—21no—
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—41no—
209C4⋊C4×C151—41no—
210C4⋊C4×C151C2×D411yescharacteristic
211C4⋊C4×C151C2×D411yescharacteristic
212C4⋊C4×C151C2×D411yescharacteristic
213C4⋊C4×C151C2×D411yescharacteristic
214C22⋊C4×C151—22no—
215C22⋊C4×C151—22no—
216C22⋊C4×C151—22no—
217C22⋊C4×C151—22no—
218C22⋊C4×C151—22no—
219C22⋊C4×C151—21no—
220C22⋊C4×C151—21no—
221C22⋊C4×C151—21no—
222C22⋊C4×C151—21no—
223C22⋊C4×C151—22no—
224C22⋊C4×C151—21no—
225C22⋊C4×C151—21no—
226C22⋊C4×C151—22no—
227C22⋊C4×C151—21no—
228C22⋊C4×C151—21no—
229C22⋊C4×C151—21no—
230C42×C151—22no—
231C42×C151—21no—
232C42×C151C2×D411yescharacteristic
233C42×C151C2×D411yescharacteristic
234C42×C151C2×D411yescharacteristic
235C42×C151C2411yescharacteristic
236C23×C151—21no—
237C23×C151—21no—
238C23×C151—21no—
239C23×C151—22no—
240C23×C151—42no—
241C23×C151—44no—
242C23×C151—42no—
243C23×C151—81no—
244C23×C151—82no—
245C23×C151—82no—
246C23×C151#12011yescharacteristic
247Q8×C151—22no—
248Q8×C151—42no—
249Q8×C151—44no—
250Q8×C151—82no—
251D4×C151—21no—
252D4×C151—21no—
253D4×C151—21no—
254D4×C151—22no—
255D4×C151—42no—
256D4×C151—42no—
257D4×C151—44no—
258D4×C151—44no—
259D4×C151—42no—
260D4×C151—41no—
261D4×C151—41no—
262D4×C151—42no—
263D4×C151—82no—
264D4×C151—82no—
265D4×C151—82no—
266D4×C151—82no—
267D4×C151#13712yescomplemented
268C2×C4×C151—22no—
269C2×C4×C151—21no—
270C2×C4×C151—21no—
271C2×C4×C151—22no—
272C2×C4×C151—21no—
273C2×C4×C151—22no—
274C2×C4×C151—21no—
275C2×C4×C151—21no—
276C2×C4×C151—21no—
277C2×C4×C151—21no—
278C2×C4×C151—41no—
279C2×C4×C151—41no—
280C2×C4×C151—42no—
281C2×C4×C151—42no—
282C2×C4×C151—42no—
283C2×C4×C151—82no—
284C2×C4×C151—81no—
285C2×C4×C151—81no—
286C2×C4×C151—81no—
287C2×C4×C151—82no—
288C2×C4×C151—82no—
289C2×C4×C151—82no—
290C2×C4×C151#12011yescharacteristic
291C2×C4×C151#12011yescharacteristic
292C2×C4×C151#12011yescharacteristic
293C2×C4×C151C22×D411yescharacteristic
294C2×C4×C151C22×D411yescharacteristic
295C2×C4×C151C22×D411yescharacteristic
296C8×C151—24no—
297C8×C151—42no—
298C8×C151—42no—
299C22×C151—21no—
300C22×C151—21no—
301C22×C151—22no—
302C22×C151—41no—
303C22×C151—41no—
304C22×C151—41no—
305C22×C151—41no—
306C22×C151—42no—
307C22×C151—41no—
308C22×C151—42no—
309C22×C151—41no—
310C22×C151—42no—
311C22×C151—41no—
312C22×C151—41no—
313C22×C151—84no—
314C22×C151—164no—
315C22×C151#45312yes—
316C22×C151C2×#12011yescharacteristic
317C4×C151—21no—
318C4×C151—21no—
319C4×C151—21no—
320C4×C151—21no—
321C4×C151—41no—
322C4×C151—41no—
323C4×C151—41no—
324C4×C151—41no—
325C4×C151—41no—
326C4×C151—42no—
327C4×C151—82no—
328C4×C151C2×#13711yescharacteristic
329C4×C151#57511yescharacteristic
330C4×C151#57712yes—
331C2×C151—22no—
332C2×C151—42no—
333C2×C151—81no—
334C2×C151—82no—
335C2×C151—81no—
336C2×C151#300711yescharacteristic
337C2×C151#300911yescharacteristic
338C2×C151C2×#45311yescharacteristic
339#18563C15111yesmaximal, characteristic, direct product factor, Sylow
340C151#1856311yescharacteristic, direct product factor, Sylow
341#3519C2×C15111yescharacteristic
342#3238C2×C15111yescharacteristic, complemented
343#3152C2×C15111yescharacteristic, complemented
344C2×#476C2×C15111yescharacteristic, complemented
345#1634C2×C15112yescomplemented
346#1632C2×C15112yescomplemented
347#1631C2×C15112yescomplemented
348#1629C2×C15112yescomplemented
349#1551C2×C15111yescharacteristic, complemented
350#1490C2×C15111yescharacteristic, complemented
351#1483C2×C15111yescharacteristic, complemented
352C2×#137—22no—
353#555C22×C15111yescharacteristic
354#554C22×C15111yescharacteristic
355#553—21no—
356#553—21no—
357#550C22×C15111yescharacteristic
358#546—22no—
359#546—21no—
360D42—21no—
361D42C22×C15111yescharacteristic
362#540—21no—
363#538—22no—
364#532C22×C15111yescharacteristic
365C2×C4⋊Q8C22×C15111yescharacteristic, complemented
366#529C22×C15111yescharacteristic
367#525—21no—
368C2×#121—21no—
369#518—21no—
370C2×C4×D4C22×C15111yescharacteristic
371#501—21no—
372#497—22no—
373#494C22×C15112yescomplemented
374#492C22×C15112yescomplemented
375#489—21no—
376#483—21no—
377#480—21no—
378#477C22×C15112yescomplemented
379#476—21no—
380#476—21no—
381#476C22×C15112yes—
382#476C22×C15112yescomplemented
383#476C22×C15112yescomplemented
384#432C22×C15111yescharacteristic, complemented
385C2×#106—21no—
386C2×C4⋊C8C22×C15111yescharacteristic, complemented
387C2×#102—21no—
388C4×M16C22×C15111yescharacteristic, complemented
389#333C22×C15112yescomplemented
390#331C22×C15112yescomplemented
391Q8⋊C8C22×C15112yescomplemented
392D4⋊C8C22×C15112yes—
393D4⋊C8C22×C15112yescomplemented
394D4⋊C8C22×C15112yescomplemented
395C2×#41—21no—
396C2×#41D4×C15112yes—
397C22×Q8—21no—
398C22×D4—22no—
399C22×D4—21no—
400C22×D4—21no—
401C22×D4D4×C15111yescharacteristic
402C23×C4—21no—
403#137—48no—
404C2×Q16—24no—
405C2×SD16—24no—
406C2×M16—21no—
407C22×C8—21no—
408C4⋊Q8—21no—
409C4⋊Q8—21no—
410C4⋊Q8—21no—
411C4⋊Q8C23×C15112yes—
412C4⋊Q8C23×C15111yescharacteristic
413#127—21no—
414#127C23×C15111yescharacteristic
415#126—22no—
416#126—21no—
417#125—21no—
418#125D4×C15111yescharacteristic
419#124—22no—
420#124D4×C15111yescharacteristic
421#124D4×C15112yes—
422#123—22no—
423#123—22no—
424#123—22no—
425#123—21no—
426C22⋊Q8—21no—
427C22⋊Q8—22no—
428C22⋊Q8D4×C15111yescharacteristic
429#121—22no—
430#121—22no—
431#121—22no—
432#121—22no—
433#121—21no—
434#121—22no—
435#121—21no—
436#121—21no—
437#121—21no—
438#121—21no—
439#121—21no—
440#121—21no—
441#121D4×C15111yescharacteristic
442#120—22no—
443#120—22no—
444#120—22no—
445C4×Q8C23×C15111yescharacteristic
446C4×D4—22no—
447C4×D4—22no—
448C4×D4—22no—
449C4×D4—21no—
450C4×D4—21no—
451C4×D4—21no—
452C4×D4—21no—
453C4×D4—21no—
454C4×D4—21no—
455C4×D4—21no—
456C4×D4D4×C15111yescharacteristic
457C4×D4D4×C15111yescharacteristic
458C4×D4C23×C15111yescharacteristic
459C4×D4C23×C15111yescharacteristic
460C4×D4C23×C15111yescharacteristic
461#117—21no—
462#117—21no—
463#117—21no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4D4×C15111yescharacteristic
468C2×C22⋊C4—22no—
469C2×C22⋊C4—22no—
470C2×C22⋊C4—21no—
471C2×C42C23×C15111yescharacteristic
472#107—22no—
473#106—22no—
474#106—22no—
475#106—22no—
476C4⋊C8—21no—
477C4⋊C8C23×C15112yes—
478C4⋊C8C23×C15112yes—
479#103—22no—
480#102—22no—
481#102—22no—
482#102—22no—
483C22⋊C8—21no—
484#97—21no—
485#97—21no—
486C4×C8C23×C15112yes—
487C24—22no—
488C24—21no—
489#41—44no—
490#41—82no—
491C2×Q8—22no—
492C2×Q8—44no—
493C2×Q8—41no—
494C2×Q8C2×D4×C15111yescharacteristic
495C2×Q8C2×D4×C15112yes—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—21no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—41no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—82no—
511C2×D4—84no—
512C2×D4C2×D4×C15111yescharacteristic
513C2×D4C2×D4×C15111yescharacteristic
514C2×D4C2×D4×C15111yescharacteristic
515C2×D4C2×D4×C15112yes—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—22no—
524C22×C4—21no—
525C22×C4—41no—
526C22×C4—82no—
527C22×C4C2×D4×C15111yescharacteristic
528C22×C4C2×D4×C15111yescharacteristic
529C22×C4C2×D4×C15111yescharacteristic
530Q16—48no—
531SD16—48no—
532M16—24no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—42no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—41no—
549C4⋊C4—41no—
550C4⋊C4C2×D4×C15111yescharacteristic
551C4⋊C4C2×D4×C15111yescharacteristic
552C4⋊C4C2×D4×C15111yescharacteristic
553C4⋊C4C2×D4×C15111yescharacteristic
554C22⋊C4—22no—
555C22⋊C4—22no—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—21no—
560C22⋊C4—21no—
561C22⋊C4—21no—
562C22⋊C4—21no—
563C22⋊C4—22no—
564C22⋊C4—21no—
565C22⋊C4—21no—
566C22⋊C4—22no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C42—22no—
571C42—21no—
572C42C2×D4×C15111yescharacteristic
573C42C2×D4×C15111yescharacteristic
574C42C2×D4×C15111yescharacteristic
575C42C24×C15111yescharacteristic
576C23—21no—
577C23—21no—
578C23—21no—
579C23—22no—
580C23—42no—
581C23—44no—
582C23—42no—
583C23—81no—
584C23—82no—
585C23—82no—
586C23#120×C15111yescharacteristic
587Q8—22no—
588Q8—42no—
589Q8—44no—
590Q8—82no—
591D4—21no—
592D4—21no—
593D4—21no—
594D4—22no—
595D4—42no—
596D4—42no—
597D4—44no—
598D4—42no—
599D4—44no—
600D4—41no—
601D4—41no—
602D4—42no—
603D4—82no—
604D4—82no—
605D4—82no—
606D4—82no—
607D4#137×C15112yescomplemented
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—81no—
624C2×C4—81no—
625C2×C4—82no—
626C2×C4—81no—
627C2×C4—82no—
628C2×C4—82no—
629C2×C4—82no—
630C2×C4#120×C15111yescharacteristic
631C2×C4#120×C15111yescharacteristic
632C2×C4#120×C15111yescharacteristic
633C2×C4C22×D4×C15111yescharacteristic
634C2×C4C22×D4×C15111yescharacteristic
635C2×C4C22×D4×C15111yescharacteristic
636C8—24no—
637C8—42no—
638C8—42no—
639C22—21no—
640C22—21no—
641C22—22no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22—41no—
646C22—42no—
647C22—41no—
648C22—42no—
649C22—41no—
650C22—42no—
651C22—41no—
652C22—41no—
653C22—84no—
654C22—164no—
655C22#453×C15112yes—
656C22C2×#120×C15111yescharacteristic
657C4—21no—
658C4—21no—
659C4—21no—
660C4—21no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—42no—
667C4—82no—
668C4C2×#137×C15111yescharacteristic
669C4#575×C15111yescharacteristic
670C4#577×C15112yes—
671C2—22no—
672C2—42no—
673C2—81no—
674C2—81no—
675C2—82no—
676C2#3007×C15111yescharacteristic
677C2#3009×C15111yescharacteristic
678C2C2×#453×C15111yescharacteristic
subgroupG/H
center, socleC22×C151C2×#120
commutator, Frattini, cosocleC42C24×C151
prime radical#3519×C151C2
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
2. #3238×C151C2semidirect
3. #3152×C151C2semidirect
4. C2×#476×C151C2semidirect
5. #1634×C151C2semidirect
6. #1632×C151C2semidirect
7. #1631×C151C2semidirect
8. #1629×C151C2semidirect
9. #1551×C151C2semidirect
10. #1490×C151C2semidirect
11. #1483×C151C2semidirect
25. C2×C4⋊Q8×C151C22semidirect
33. #494×C151C22semidirect
34. #492×C151C22semidirect
38. #477×C151C22semidirect
42. #476×C151C22semidirect
43. #476×C151C22semidirect
44. #432×C151C22semidirect
46. C2×C4⋊C8×C151C22semidirect
48. C4×M16×C151C22semidirect
49. #333×C151C22semidirect
50. #331×C151C22semidirect
51. Q8⋊C8×C151C22semidirect
53. D4⋊C8×C151C22semidirect
54. D4⋊C8×C151C22semidirect
267. D4×C151#137semidirect
339. #18563C151direct (N × H)
340. C151#18563direct (N × H)
342. #3238C2×C151semidirect
343. #3152C2×C151semidirect
344. C2×#476C2×C151semidirect
345. #1634C2×C151semidirect
346. #1632C2×C151semidirect
347. #1631C2×C151semidirect
348. #1629C2×C151semidirect
349. #1551C2×C151semidirect
350. #1490C2×C151semidirect
351. #1483C2×C151semidirect
365. C2×C4⋊Q8C22×C151semidirect
373. #494C22×C151semidirect
374. #492C22×C151semidirect
378. #477C22×C151semidirect
382. #476C22×C151semidirect
383. #476C22×C151semidirect
384. #432C22×C151semidirect
386. C2×C4⋊C8C22×C151semidirect
388. C4×M16C22×C151semidirect
389. #333C22×C151semidirect
390. #331C22×C151semidirect
391. Q8⋊C8C22×C151semidirect
393. D4⋊C8C22×C151semidirect
394. D4⋊C8C22×C151semidirect
607. D4#137×C151semidirect

Maximal subgroups

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

subgroupindex
#3519×C1512
#3238×C1512
#3152×C1512
C2×#476×C1512
#1634×C1512
#1632×C1512
#1631×C1512
#1629×C1512
#1551×C1512
#1490×C1512
#1483×C1512
#18563151