Finite Group Databasebeta

← C151×#19763 #50324688

Subgroups — C151×#19763 #50324688

Order 38656.

756 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3384×C151C211yesmaximal, characteristic, complemented
2#3295×C151C211yesmaximal, characteristic, complemented
3D4×SD16×C151C211yesmaximal, characteristic, complemented
4D4×D8×C151C211yesmaximal, characteristic
5#1715×C151C211yesmaximal, characteristic, complemented
6#1688×C151C211yesmaximal, characteristic, complemented
7#1677×C151C211yesmaximal, characteristic, complemented
8#1671×C151C211yesmaximal, characteristic, complemented
9#1665×C151C211yesmaximal, characteristic, complemented
10#1639×C151C211yesmaximal, characteristic, complemented
11#1629×C151C211yesmaximal, characteristic, complemented
12#1627×C151C211yesmaximal, characteristic, complemented
13#1622×C151C211yesmaximal, characteristic, complemented
14#1582×C151C211yesmaximal, characteristic, complemented
15#1580×C151C211yesmaximal, characteristic, complemented
16C22×SD16×C151—21no—
17C22×D8×C151—21no—
18#554×C151C2211yescharacteristic, complemented
19D4×Q8×C151C2211yescharacteristic, complemented
20D42×C151C2211yescharacteristic
21D42×C151C2211yescharacteristic
22#501×C151—21no—
23#498×C151C2211yescharacteristic, complemented
24#493×C151C2211yescharacteristic
25#492×C151C2211yescharacteristic, complemented
26#492×C151C2211yescharacteristic, complemented
27#486×C151C2211yescharacteristic, complemented
28#486×C151C2211yescharacteristic, complemented
29#481×C151—21no—
30#478×C151—21no—
31#476×C151—21no—
32#476×C151C2211yescharacteristic
33#476×C151C2211yescharacteristic, complemented
34#474×C151C2211yescharacteristic, complemented
35#466×C151—21no—
36#465×C151—21no—
37#465×C151—21no—
38#461×C151C2211yescharacteristic
39#460×C151C2211yescharacteristic, complemented
40#460×C151C2211yescharacteristic, complemented
41#459×C151C2211yescharacteristic
42#459×C151C2211yescharacteristic
43#450×C151—21no—
44#450×C151—21no—
45#448×C151—21no—
46#447×C151—21no—
47#447×C151—21no—
48#446×C151C2211yescharacteristic, complemented
49#442×C151—21no—
50C4×SD16×C151C2211yescharacteristic
51C4×D8×C151C2211yescharacteristic
52C8×D4×C151C2211yescharacteristic
53C8×D4×C151C2211yescharacteristic, complemented
54C8×D4×C151C2211yescharacteristic, complemented
55C2×#102×C151—21no—
56#334×C151C2211yescharacteristic, complemented
57#334×C151C2211yescharacteristic, complemented
58#333×C151C2211yescharacteristic, complemented
59#332×C151C2211yescharacteristic, complemented
60#331×C151C2211yescharacteristic, complemented
61#331×C151C2211yescharacteristic, complemented
62Q8⋊C8×C151C2211yescharacteristic, complemented
63D4⋊C8×C151C2211yescharacteristic
64D4⋊C8×C151C2211yescharacteristic, complemented
65D4⋊C8×C151C2211yescharacteristic, complemented
66#322×C151C2211yescharacteristic, complemented
67C22×Q8×C151—21no—
68C22×D4×C151—21no—
69C22×D4×C151—21no—
70C22×D4×C151—21no—
71C22×D4×C151—21no—
72C2×SD16×C151—21no—
73C2×SD16×C151—21no—
74C2×SD16×C151—21no—
75C2×SD16×C151—21no—
76C2×SD16×C151—21no—
77C2×SD16×C151—41no—
78C2×SD16×C151—44no—
79C2×SD16×C151D411yescharacteristic
80C2×D8×C151—21no—
81C2×D8×C151—21no—
82C2×D8×C151—21no—
83C2×D8×C151—21no—
84C2×D8×C151—44no—
85C2×D8×C151D411yescharacteristic
86C22×C8×C151—21no—
87C22×C8×C151—21no—
88C22×C8×C151—21no—
89C4⋊Q8×C151—21no—
90C4⋊Q8×C151C2311yescharacteristic
91C4⋊Q8×C151C2311yescharacteristic
92#127×C151C2311yescharacteristic
93#127×C151C2311yescharacteristic
94#125×C151—21no—
95C22⋊Q8×C151—21no—
96C22⋊Q8×C151—21no—
97C22⋊Q8×C151—41no—
98C22⋊Q8×C151—41no—
99#121×C151—21no—
100#121×C151—21no—
101#121×C151—21no—
102#121×C151—21no—
103#120×C151—41no—
104#120×C151—41no—
105C4×Q8×C151C2311yescharacteristic
106C4×D4×C151—21no—
107C4×D4×C151—21no—
108C4×D4×C151C2311yescharacteristic
109C4×D4×C151C2311yescharacteristic
110C4×D4×C151C2311yescharacteristic
111C2×C4⋊C4×C151—21no—
112#107×C151—21no—
113#107×C151D411yescharacteristic
114#106×C151—21no—
115#106×C151—21no—
116#106×C151—21no—
117#106×C151—21no—
118#106×C151D411yescharacteristic
119C4⋊C8×C151—21no—
120C4⋊C8×C151C2311yescharacteristic
121C4⋊C8×C151C2311yescharacteristic
122C4⋊C8×C151C2311yescharacteristic
123C4⋊C8×C151C2311yescharacteristic
124#103×C151—21no—
125#103×C151D411yescharacteristic
126#102×C151—21no—
127#102×C151—21no—
128#102×C151—21no—
129#102×C151—21no—
130#102×C151—21no—
131#102×C151—21no—
132#102×C151—21no—
133#102×C151—21no—
134#102×C151—21no—
135#102×C151—41no—
136#102×C151D411yescharacteristic
137#102×C151D411yescharacteristic
138#102×C151D411yescharacteristic
139C22⋊C8×C151—21no—
140C22⋊C8×C151—21no—
141C22⋊C8×C151—21no—
142#97×C151—21no—
143C4×C8×C151C2311yescharacteristic
144C4×C8×C151C2311yescharacteristic
145C4×C8×C151C2311yescharacteristic
146C24×C151—41no—
147C24×C151—41no—
148C2×Q8×C151—21no—
149C2×Q8×C151—21no—
150C2×Q8×C151—41no—
151C2×Q8×C151—42no—
152C2×Q8×C151—81no—
153C2×Q8×C151C2×D411yescharacteristic
154C2×D4×C151—21no—
155C2×D4×C151—21no—
156C2×D4×C151—21no—
157C2×D4×C151—21no—
158C2×D4×C151—21no—
159C2×D4×C151—21no—
160C2×D4×C151—41no—
161C2×D4×C151—41no—
162C2×D4×C151—41no—
163C2×D4×C151—41no—
164C2×D4×C151—42no—
165C2×D4×C151—42no—
166C2×D4×C151—42no—
167C2×D4×C151—42no—
168C2×D4×C151—81no—
169C2×D4×C151—81no—
170C2×D4×C151—81no—
171C2×D4×C151—81no—
172C2×D4×C151C2×D411yescharacteristic
173C2×D4×C151C2×D411yescharacteristic
174C2×D4×C151C2×D411yescharacteristic
175C22×C4×C151—21no—
176C22×C4×C151—21no—
177C22×C4×C151—21no—
178C22×C4×C151—41no—
179C22×C4×C151—41no—
180SD16×C151—22no—
181SD16×C151—42no—
182SD16×C151—42no—
183SD16×C151—42no—
184SD16×C151—81no—
185SD16×C151—81no—
186SD16×C151—82no—
187D8×C151—42no—
188D8×C151—42no—
189D8×C151—42no—
190D8×C151—81no—
191D8×C151SD1614yescomplemented
192C2×C8×C151—21no—
193C2×C8×C151—21no—
194C2×C8×C151—21no—
195C2×C8×C151—21no—
196C2×C8×C151—21no—
197C2×C8×C151—42no—
198C2×C8×C151—42no—
199C2×C8×C151—81no—
200C2×C8×C151C2×D411yescharacteristic
201C2×C8×C151C2×D411yescharacteristic
202C2×C8×C151C2×D411yescharacteristic
203C2×C8×C151C2×D411yescharacteristic
204C4⋊C4×C151—21no—
205C4⋊C4×C151—21no—
206C4⋊C4×C151—21no—
207C4⋊C4×C151—21no—
208C4⋊C4×C151—21no—
209C4⋊C4×C151—41no—
210C4⋊C4×C151—41no—
211C4⋊C4×C151—41no—
212C4⋊C4×C151C2×D411yescharacteristic
213C4⋊C4×C151C2×D411yescharacteristic
214C4⋊C4×C151C2×D411yescharacteristic
215C4⋊C4×C151C2×D411yescharacteristic
216C22⋊C4×C151—21no—
217C22⋊C4×C151—21no—
218C22⋊C4×C151—21no—
219C22⋊C4×C151—41no—
220C22⋊C4×C151—41no—
221C22⋊C4×C151—41no—
222C22⋊C4×C151—41no—
223C42×C151—21no—
224C42×C151C2411yescharacteristic
225C23×C151—21no—
226C23×C151—21no—
227C23×C151—21no—
228C23×C151—41no—
229C23×C151—41no—
230C23×C151—82no—
231C23×C151—82no—
232C23×C151—82no—
233C23×C151—82no—
234C23×C151—161no—
235C23×C151—161no—
236Q8×C151—21no—
237Q8×C151—21no—
238Q8×C151—41no—
239Q8×C151—41no—
240Q8×C151—81no—
241Q8×C151—82no—
242D4×C151—21no—
243D4×C151—21no—
244D4×C151—21no—
245D4×C151—41no—
246D4×C151—41no—
247D4×C151—41no—
248D4×C151—41no—
249D4×C151—41no—
250D4×C151—41no—
251D4×C151—41no—
252D4×C151—41no—
253D4×C151—81no—
254D4×C151—81no—
255D4×C151—82no—
256D4×C151—82no—
257D4×C151—82no—
258D4×C151—82no—
259D4×C151C2×SD1612yes—
260D4×C151C2×SD1612yescomplemented
261D4×C151AGL(1,ℤ/8)12yes—
262C2×C4×C151—21no—
263C2×C4×C151—21no—
264C2×C4×C151—21no—
265C2×C4×C151—21no—
266C2×C4×C151—21no—
267C2×C4×C151—41no—
268C2×C4×C151—41no—
269C2×C4×C151—41no—
270C2×C4×C151—41no—
271C2×C4×C151—41no—
272C2×C4×C151—41no—
273C2×C4×C151—41no—
274C2×C4×C151—41no—
275C2×C4×C151—82no—
276C2×C4×C151—161no—
277C2×C4×C151C22×D411yescharacteristic
278C2×C4×C151C22×D411yescharacteristic
279C2×C4×C151H(5,𝔽2)11yescharacteristic
280C8×C151—21no—
281C8×C151—21no—
282C8×C151—21no—
283C8×C151—41no—
284C8×C151—41no—
285C8×C151—41no—
286C8×C151—41no—
287C8×C151—41no—
288C8×C151C2×SD1612yescomplemented
289C22×C151—22no—
290C22×C151—22no—
291C22×C151—22no—
292C22×C151—41no—
293C22×C151—41no—
294C22×C151—41no—
295C22×C151—41no—
296C22×C151—41no—
297C22×C151—41no—
298C22×C151—81no—
299C22×C151—81no—
300C22×C151—81no—
301C22×C151—81no—
302C22×C151—81no—
303C22×C151—81no—
304C22×C151—164no—
305C22×C151—164no—
306C22×C151D4211yescharacteristic
307C4×C151—21no—
308C4×C151—41no—
309C4×C151—41no—
310C4×C151—41no—
311C4×C151—41no—
312C4×C151—41no—
313C4×C151—81no—
314C4×C151—81no—
315C4×C151C22×SD1611yescharacteristic
316C4×C151C2×AGL(1,ℤ/8)11yescharacteristic
317C4×C151#57611yescharacteristic
318C4×C151#57711yescharacteristic
319C2×C151—42no—
320C2×C151—42no—
321C2×C151—42no—
322C2×C151—161no—
323C2×C151—161no—
324C2×C151#326411yescharacteristic
325C2×C151D4×SD1611yescharacteristic
326C2×C151#328811yescharacteristic
327#19763C15111yesmaximal, characteristic, direct product factor, Sylow
328C151#1976311yescharacteristic, direct product factor, Sylow
329#3384C2×C15111yescharacteristic, complemented
330#3295C2×C15111yescharacteristic, complemented
331D4×SD16C2×C15111yescharacteristic, complemented
332D4×D8C2×C15111yescharacteristic
333#1715C2×C15111yescharacteristic, complemented
334#1688C2×C15111yescharacteristic, complemented
335#1677C2×C15111yescharacteristic, complemented
336#1671C2×C15111yescharacteristic, complemented
337#1665C2×C15111yescharacteristic, complemented
338#1639C2×C15111yescharacteristic, complemented
339#1629C2×C15111yescharacteristic, complemented
340#1627C2×C15111yescharacteristic, complemented
341#1622C2×C15111yescharacteristic, complemented
342#1582C2×C15111yescharacteristic, complemented
343#1580C2×C15111yescharacteristic, complemented
344C22×SD16—21no—
345C22×D8—21no—
346#554C22×C15111yescharacteristic, complemented
347D4×Q8C22×C15111yescharacteristic, complemented
348D42C22×C15111yescharacteristic
349D42C22×C15111yescharacteristic
350#501—21no—
351#498C22×C15111yescharacteristic, complemented
352#493C22×C15111yescharacteristic
353#492C22×C15111yescharacteristic, complemented
354#492C22×C15111yescharacteristic, complemented
355#486C22×C15111yescharacteristic, complemented
356#486C22×C15111yescharacteristic, complemented
357#481—21no—
358#478—21no—
359#476—21no—
360#476C22×C15111yescharacteristic
361#476C22×C15111yescharacteristic, complemented
362#474C22×C15111yescharacteristic, complemented
363#466—21no—
364#465—21no—
365#465—21no—
366#461C22×C15111yescharacteristic
367#460C22×C15111yescharacteristic, complemented
368#460C22×C15111yescharacteristic, complemented
369#459C22×C15111yescharacteristic
370#459C22×C15111yescharacteristic
371#450—21no—
372#450—21no—
373#448—21no—
374#447—21no—
375#447—21no—
376#446C22×C15111yescharacteristic, complemented
377#442—21no—
378C4×SD16C22×C15111yescharacteristic
379C4×D8C22×C15111yescharacteristic
380C8×D4C22×C15111yescharacteristic
381C8×D4C22×C15111yescharacteristic, complemented
382C8×D4C22×C15111yescharacteristic, complemented
383C2×#102—21no—
384#334C22×C15111yescharacteristic, complemented
385#334C22×C15111yescharacteristic, complemented
386#333C22×C15111yescharacteristic, complemented
387#332C22×C15111yescharacteristic, complemented
388#331C22×C15111yescharacteristic, complemented
389#331C22×C15111yescharacteristic, complemented
390Q8⋊C8C22×C15111yescharacteristic, complemented
391D4⋊C8C22×C15111yescharacteristic
392D4⋊C8C22×C15111yescharacteristic, complemented
393D4⋊C8C22×C15111yescharacteristic, complemented
394#322C22×C15111yescharacteristic, complemented
395C22×Q8—21no—
396C22×D4—21no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—21no—
400C2×SD16—21no—
401C2×SD16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16—41no—
406C2×SD16—44no—
407C2×SD16D4×C15111yescharacteristic
408C2×D8—21no—
409C2×D8—21no—
410C2×D8—21no—
411C2×D8—21no—
412C2×D8—44no—
413C2×D8D4×C15111yescharacteristic
414C22×C8—21no—
415C22×C8—21no—
416C22×C8—21no—
417C4⋊Q8—21no—
418C4⋊Q8C23×C15111yescharacteristic
419C4⋊Q8C23×C15111yescharacteristic
420#127C23×C15111yescharacteristic
421#127C23×C15111yescharacteristic
422#125—21no—
423C22⋊Q8—21no—
424C22⋊Q8—21no—
425C22⋊Q8—41no—
426C22⋊Q8—41no—
427#121—21no—
428#121—21no—
429#121—21no—
430#121—21no—
431#120—41no—
432#120—41no—
433C4×Q8C23×C15111yescharacteristic
434C4×D4—21no—
435C4×D4—21no—
436C4×D4C23×C15111yescharacteristic
437C4×D4C23×C15111yescharacteristic
438C4×D4C23×C15111yescharacteristic
439C2×C4⋊C4—21no—
440#107—21no—
441#107D4×C15111yescharacteristic
442#106—21no—
443#106—21no—
444#106—21no—
445#106—21no—
446#106D4×C15111yescharacteristic
447C4⋊C8—21no—
448C4⋊C8C23×C15111yescharacteristic
449C4⋊C8C23×C15111yescharacteristic
450C4⋊C8C23×C15111yescharacteristic
451C4⋊C8C23×C15111yescharacteristic
452#103—21no—
453#103D4×C15111yescharacteristic
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—21no—
460#102—21no—
461#102—21no—
462#102—21no—
463#102—41no—
464#102D4×C15111yescharacteristic
465#102D4×C15111yescharacteristic
466#102D4×C15111yescharacteristic
467C22⋊C8—21no—
468C22⋊C8—21no—
469C22⋊C8—21no—
470#97—21no—
471C4×C8C23×C15111yescharacteristic
472C4×C8C23×C15111yescharacteristic
473C4×C8C23×C15111yescharacteristic
474C24—41no—
475C24—41no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—41no—
479C2×Q8—42no—
480C2×Q8—81no—
481C2×Q8C2×D4×C15111yescharacteristic
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4—41no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—81no—
497C2×D4—81no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4C2×D4×C15111yescharacteristic
501C2×D4C2×D4×C15111yescharacteristic
502C2×D4C2×D4×C15111yescharacteristic
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—41no—
507C22×C4—41no—
508SD16—22no—
509SD16—42no—
510SD16—42no—
511SD16—42no—
512SD16—81no—
513SD16—81no—
514SD16—82no—
515D8—42no—
516D8—42no—
517D8—42no—
518D8—81no—
519D8SD16×C15114yescomplemented
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—42no—
526C2×C8—42no—
527C2×C8—81no—
528C2×C8C2×D4×C15111yescharacteristic
529C2×C8C2×D4×C15111yescharacteristic
530C2×C8C2×D4×C15111yescharacteristic
531C2×C8C2×D4×C15111yescharacteristic
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—41no—
538C4⋊C4—41no—
539C4⋊C4—41no—
540C4⋊C4C2×D4×C15111yescharacteristic
541C4⋊C4C2×D4×C15111yescharacteristic
542C4⋊C4C2×D4×C15111yescharacteristic
543C4⋊C4C2×D4×C15111yescharacteristic
544C22⋊C4—21no—
545C22⋊C4—21no—
546C22⋊C4—21no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C42—21no—
552C42C24×C15111yescharacteristic
553C23—21no—
554C23—21no—
555C23—21no—
556C23—41no—
557C23—41no—
558C23—82no—
559C23—82no—
560C23—82no—
561C23—82no—
562C23—161no—
563C23—161no—
564Q8—21no—
565Q8—21no—
566Q8—41no—
567Q8—41no—
568Q8—81no—
569Q8—82no—
570D4—21no—
571D4—21no—
572D4—21no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—81no—
582D4—81no—
583D4—82no—
584D4—82no—
585D4—82no—
586D4—82no—
587D4C2×SD16×C15112yes—
588D4C2×SD16×C15112yescomplemented
589D4AGL(1,ℤ/8)×C15112yes—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—82no—
604C2×C4—161no—
605C2×C4C22×D4×C15111yescharacteristic
606C2×C4C22×D4×C15111yescharacteristic
607C2×C4H(5,𝔽2)×C15111yescharacteristic
608C8—21no—
609C8—21no—
610C8—21no—
611C8—41no—
612C8—41no—
613C8—41no—
614C8—41no—
615C8—41no—
616C8C2×SD16×C15112yescomplemented
617C22—22no—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—164no—
633C22—164no—
634C22D42×C15111yescharacteristic
635C4—21no—
636C4—41no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—81no—
642C4—81no—
643C4C22×SD16×C15111yescharacteristic
644C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
645C4#576×C15111yescharacteristic
646C4#577×C15111yescharacteristic
647C2—42no—
648C2—42no—
649C2—42no—
650C2—161no—
651C2—161no—
652C2#3264×C15111yescharacteristic
653C2D4×SD16×C15111yescharacteristic
654C2#3288×C15111yescharacteristic
subgroupG/H
center, socleC22×C151D42
commutator, Frattini, cosocleC42C24×C151
prime radicalD4×D8×C151C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C151 ◁ C42×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3384×C151C2semidirect
2. #3295×C151C2semidirect
3. D4×SD16×C151C2semidirect
5. #1715×C151C2semidirect
6. #1688×C151C2semidirect
7. #1677×C151C2semidirect
8. #1671×C151C2semidirect
9. #1665×C151C2semidirect
10. #1639×C151C2semidirect
11. #1629×C151C2semidirect
12. #1627×C151C2semidirect
13. #1622×C151C2semidirect
14. #1582×C151C2semidirect
15. #1580×C151C2semidirect
18. #554×C151C22semidirect
19. D4×Q8×C151C22semidirect
23. #498×C151C22semidirect
25. #492×C151C22semidirect
26. #492×C151C22semidirect
27. #486×C151C22semidirect
28. #486×C151C22semidirect
33. #476×C151C22semidirect
34. #474×C151C22semidirect
39. #460×C151C22semidirect
40. #460×C151C22semidirect
48. #446×C151C22semidirect
53. C8×D4×C151C22semidirect
54. C8×D4×C151C22semidirect
56. #334×C151C22semidirect
57. #334×C151C22semidirect
58. #333×C151C22semidirect
59. #332×C151C22semidirect
60. #331×C151C22semidirect
61. #331×C151C22semidirect
62. Q8⋊C8×C151C22semidirect
64. D4⋊C8×C151C22semidirect
65. D4⋊C8×C151C22semidirect
66. #322×C151C22semidirect
191. D8×C151SD16semidirect
260. D4×C151C2×SD16semidirect
288. C8×C151C2×SD16semidirect
327. #19763C151direct (N × H)
328. C151#19763direct (N × H)
329. #3384C2×C151semidirect
330. #3295C2×C151semidirect
331. D4×SD16C2×C151semidirect
333. #1715C2×C151semidirect
334. #1688C2×C151semidirect
335. #1677C2×C151semidirect
336. #1671C2×C151semidirect
337. #1665C2×C151semidirect
338. #1639C2×C151semidirect
339. #1629C2×C151semidirect
340. #1627C2×C151semidirect
341. #1622C2×C151semidirect
342. #1582C2×C151semidirect
343. #1580C2×C151semidirect
346. #554C22×C151semidirect
347. D4×Q8C22×C151semidirect
351. #498C22×C151semidirect
353. #492C22×C151semidirect
354. #492C22×C151semidirect
355. #486C22×C151semidirect
356. #486C22×C151semidirect
361. #476C22×C151semidirect
362. #474C22×C151semidirect
367. #460C22×C151semidirect
368. #460C22×C151semidirect
376. #446C22×C151semidirect
381. C8×D4C22×C151semidirect
382. C8×D4C22×C151semidirect
384. #334C22×C151semidirect
385. #334C22×C151semidirect
386. #333C22×C151semidirect
387. #332C22×C151semidirect
388. #331C22×C151semidirect
389. #331C22×C151semidirect
390. Q8⋊C8C22×C151semidirect
392. D4⋊C8C22×C151semidirect
393. D4⋊C8C22×C151semidirect
394. #322C22×C151semidirect
519. D8SD16×C151semidirect
588. D4C2×SD16×C151semidirect
616. C8C2×SD16×C151semidirect

Maximal subgroups

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

subgroupindex
#3384×C1512
#3295×C1512
D4×SD16×C1512
D4×D8×C1512
#1715×C1512
#1688×C1512
#1677×C1512
#1671×C1512
#1665×C1512
#1639×C1512
#1629×C1512
#1627×C1512
#1622×C1512
#1582×C1512
#1580×C1512
#19763151