Finite Group Databasebeta

← C151×#19890 #50324815

Subgroups — C151×#19890 #50324815

Order 38656.

718 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3384×C151C211yesmaximal, characteristic, complemented
2#3335×C151C211yesmaximal, characteristic, complemented
3D4×SD16×C151C211yesmaximal, characteristic, complemented
4#3272×C151C211yesmaximal, characteristic
5#1705×C151C211yesmaximal, characteristic, complemented
6#1691×C151C211yesmaximal, characteristic, complemented
7#1686×C151C211yesmaximal, characteristic, complemented
8#1671×C151C211yesmaximal, characteristic, complemented
9#1665×C151C211yesmaximal, characteristic, complemented
10#1654×C151C211yesmaximal, characteristic, complemented
11#1651×C151C211yesmaximal, characteristic, complemented
12#1629×C151C211yesmaximal, characteristic, complemented
13#1622×C151C211yesmaximal, characteristic, complemented
14#1590×C151C211yesmaximal, characteristic, complemented
15C8×D8×C151C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C151—21no—
17C22×SD16×C151—21no—
18#554×C151C2211yescharacteristic, complemented
19D4×Q8×C151C2211yescharacteristic
20#547×C151C2211yescharacteristic
21D42×C151C2211yescharacteristic
22#501×C151—21no—
23#498×C151C2211yescharacteristic, complemented
24#498×C151C2211yescharacteristic, complemented
25#498×C151C2211yescharacteristic, complemented
26#492×C151C2211yescharacteristic
27#492×C151C2211yescharacteristic
28#492×C151C2211yescharacteristic
29#483×C151—21no—
30#481×C151—21no—
31#478×C151—21no—
32#476×C151—21no—
33#476×C151C2211yescharacteristic
34#476×C151C2211yescharacteristic
35#475×C151C2211yescharacteristic, complemented
36#474×C151C2211yescharacteristic, complemented
37#468×C151—21no—
38#465×C151—21no—
39#465×C151—21no—
40#461×C151C2211yescharacteristic
41#461×C151C2211yescharacteristic
42#460×C151C2211yescharacteristic
43#459×C151C2211yescharacteristic
44#450×C151—21no—
45#450×C151—21no—
46#449×C151—21no—
47#448×C151—21no—
48#446×C151C2211yescharacteristic, complemented
49#442×C151—21no—
50C4×SD16×C151C2211yescharacteristic
51C4×D8×C151C2211yescharacteristic
52#436×C151C2211yescharacteristic
53C8×D4×C151C2211yescharacteristic
54C8×D4×C151C2211yescharacteristic, complemented
55C2×#106×C151—21no—
56#335×C151C2211yescharacteristic, complemented
57#334×C151C2211yescharacteristic, complemented
58#333×C151C2211yescharacteristic, complemented
59#332×C151C2211yescharacteristic, complemented
60#332×C151C2211yescharacteristic, complemented
61#331×C151C2211yescharacteristic
62Q8⋊C8×C151C2211yescharacteristic, complemented
63D4⋊C8×C151C2211yescharacteristic
64D4⋊C8×C151C2211yescharacteristic
65D4⋊C8×C151C2211yescharacteristic, complemented
66C82×C151C2211yescharacteristic, complemented
67C2×#41×C151—21no—
68C22×Q8×C151—21no—
69C22×D4×C151—21no—
70C22×D4×C151—21no—
71AGL(1,ℤ/8)×C151—44no—
72C2×SD16×C151—21no—
73C2×SD16×C151—21no—
74C2×SD16×C151—21no—
75C2×SD16×C151—21no—
76C2×SD16×C151—21no—
77C2×SD16×C151—21no—
78C2×SD16×C151—21no—
79C2×SD16×C151—41no—
80C2×SD16×C151—44no—
81C2×SD16×C151D411yescharacteristic
82C2×D8×C151—21no—
83C2×D8×C151D411yescharacteristic
84C2×M16×C151—21no—
85C22×C8×C151—21no—
86C22×C8×C151—21no—
87C4⋊Q8×C151—21no—
88C4⋊Q8×C151C2311yescharacteristic
89C4⋊Q8×C151C2311yescharacteristic
90C4⋊Q8×C151C2311yescharacteristic
91#127×C151C2311yescharacteristic
92#125×C151—21no—
93#123×C151—41no—
94C22⋊Q8×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#120×C151—41no—
103C4×Q8×C151C2311yescharacteristic
104C4×D4×C151—21no—
105C4×D4×C151—21no—
106C4×D4×C151C2311yescharacteristic
107C4×D4×C151C2311yescharacteristic
108C4×D4×C151C2311yescharacteristic
109C2×C4⋊C4×C151—21no—
110C2×C4⋊C4×C151—21no—
111#107×C151—21no—
112#107×C151D411yescharacteristic
113#106×C151—21no—
114#106×C151—21no—
115#106×C151—21no—
116#106×C151—21no—
117#106×C151—21no—
118#106×C151—21no—
119#106×C151—21no—
120#106×C151—41no—
121#106×C151D411yescharacteristic
122C4⋊C8×C151—21no—
123C4⋊C8×C151C2311yescharacteristic
124C4⋊C8×C151C2311yescharacteristic
125C4⋊C8×C151C2311yescharacteristic
126C4⋊C8×C151C2311yescharacteristic
127#103×C151—21no—
128#103×C151—21no—
129#103×C151—21no—
130#103×C151D411yescharacteristic
131#102×C151—21no—
132#102×C151—21no—
133#102×C151—21no—
134#102×C151—21no—
135#102×C151—21no—
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—
147#41×C151—42no—
148#41×C151—81no—
149C2×Q8×C151—21no—
150C2×Q8×C151—21no—
151C2×Q8×C151—21no—
152C2×Q8×C151—41no—
153C2×Q8×C151—42no—
154C2×Q8×C151—81no—
155C2×Q8×C151C2×D411yescharacteristic
156C2×D4×C151—21no—
157C2×D4×C151—21no—
158C2×D4×C151—21no—
159C2×D4×C151—41no—
160C2×D4×C151—41no—
161C2×D4×C151—42no—
162C2×D4×C151—42no—
163C2×D4×C151—41no—
164C2×D4×C151—81no—
165C2×D4×C151—81no—
166C2×D4×C151C2×D411yescharacteristic
167C2×D4×C151C2×D411yescharacteristic
168C2×D4×C151C2×D411yescharacteristic
169C22×C4×C151—21no—
170C22×C4×C151—21no—
171C22×C4×C151—21no—
172C22×C4×C151—41no—
173C22×C4×C151—41no—
174C22×C4×C151—41no—
175SD16×C151—22no—
176SD16×C151—42no—
177SD16×C151—42no—
178SD16×C151—42no—
179SD16×C151—42no—
180SD16×C151—42no—
181SD16×C151—81no—
182SD16×C151—81no—
183SD16×C151—82no—
184D8×C151—42no—
185D8×C151SD1614yescomplemented
186M16×C151—42no—
187C2×C8×C151—21no—
188C2×C8×C151—21no—
189C2×C8×C151—21no—
190C2×C8×C151—21no—
191C2×C8×C151—21no—
192C2×C8×C151—42no—
193C2×C8×C151—42no—
194C2×C8×C151C2×D411yescharacteristic
195C2×C8×C151C2×D411yescharacteristic
196C2×C8×C151C2×D411yescharacteristic
197C2×C8×C151C2×D411yescharacteristic
198C4⋊C4×C151—21no—
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—41no—
206C4⋊C4×C151—41no—
207C4⋊C4×C151—41no—
208C4⋊C4×C151—41no—
209C4⋊C4×C151C2×D411yescharacteristic
210C4⋊C4×C151C2×D411yescharacteristic
211C4⋊C4×C151C2×D411yescharacteristic
212C4⋊C4×C151C2×D411yescharacteristic
213C22⋊C4×C151—21no—
214C22⋊C4×C151—21no—
215C22⋊C4×C151—21no—
216C22⋊C4×C151—41no—
217C22⋊C4×C151—41no—
218C22⋊C4×C151—41no—
219C22⋊C4×C151—41no—
220C42×C151—21no—
221C42×C151C2411yescharacteristic
222C23×C151—21no—
223C23×C151—21no—
224C23×C151—21no—
225C23×C151—41no—
226C23×C151—82no—
227C23×C151—82no—
228C23×C151—161no—
229Q8×C151—21no—
230Q8×C151—21no—
231Q8×C151—41no—
232Q8×C151—41no—
233Q8×C151—41no—
234Q8×C151—41no—
235Q8×C151—81no—
236Q8×C151—82no—
237D4×C151—21no—
238D4×C151—21no—
239D4×C151—21no—
240D4×C151—21no—
241D4×C151—41no—
242D4×C151—41no—
243D4×C151—41no—
244D4×C151—41no—
245D4×C151—81no—
246D4×C151—82no—
247D4×C151—82no—
248D4×C151—82no—
249D4×C151C2×SD1612yes—
250D4×C151C2×SD1612yescomplemented
251C2×C4×C151—21no—
252C2×C4×C151—21no—
253C2×C4×C151—21no—
254C2×C4×C151—21no—
255C2×C4×C151—21no—
256C2×C4×C151—41no—
257C2×C4×C151—41no—
258C2×C4×C151—41no—
259C2×C4×C151—41no—
260C2×C4×C151—41no—
261C2×C4×C151—41no—
262C2×C4×C151—41no—
263C2×C4×C151—41no—
264C2×C4×C151—41no—
265C2×C4×C151—82no—
266C2×C4×C151—82no—
267C2×C4×C151—161no—
268C2×C4×C151C22×D411yescharacteristic
269C2×C4×C151C22×D411yescharacteristic
270C2×C4×C151H(5,𝔽2)11yescharacteristic
271C8×C151—22no—
272C8×C151—21no—
273C8×C151—21no—
274C8×C151—41no—
275C8×C151—41no—
276C8×C151—41no—
277C8×C151—41no—
278C8×C151C2×SD1612yescomplemented
279C8×C151AGL(1,ℤ/8)12yescomplemented
280C22×C151—22no—
281C22×C151—22no—
282C22×C151—41no—
283C22×C151—41no—
284C22×C151—41no—
285C22×C151—41no—
286C22×C151—41no—
287C22×C151—41no—
288C22×C151—41no—
289C22×C151—81no—
290C22×C151—81no—
291C22×C151—81no—
292C22×C151—164no—
293C22×C151D4211yescharacteristic
294C4×C151—21no—
295C4×C151—41no—
296C4×C151—41no—
297C4×C151—41no—
298C4×C151—41no—
299C4×C151—41no—
300C4×C151—81no—
301C4×C151—81no—
302C4×C151—81no—
303C4×C151C22×SD1611yescharacteristic
304C4×C151C2×AGL(1,ℤ/8)11yescharacteristic
305C4×C151#57711yescharacteristic
306C4×C151#57711yescharacteristic
307C2×C151—42no—
308C2×C151—42no—
309C2×C151—81no—
310C2×C151—161no—
311C2×C151#327211yescharacteristic
312C2×C151D4×SD1611yescharacteristic
313C2×C151#329111yescharacteristic
314#19890C15111yesmaximal, characteristic, direct product factor, Sylow
315C151#1989011yescharacteristic, direct product factor, Sylow
316#3384C2×C15111yescharacteristic, complemented
317#3335C2×C15111yescharacteristic, complemented
318D4×SD16C2×C15111yescharacteristic, complemented
319#3272C2×C15111yescharacteristic
320#1705C2×C15111yescharacteristic, complemented
321#1691C2×C15111yescharacteristic, complemented
322#1686C2×C15111yescharacteristic, complemented
323#1671C2×C15111yescharacteristic, complemented
324#1665C2×C15111yescharacteristic, complemented
325#1654C2×C15111yescharacteristic, complemented
326#1651C2×C15111yescharacteristic, complemented
327#1629C2×C15111yescharacteristic, complemented
328#1622C2×C15111yescharacteristic, complemented
329#1590C2×C15111yescharacteristic, complemented
330C8×D8C2×C15111yescharacteristic, complemented
331C2×AGL(1,ℤ/8)—21no—
332C22×SD16—21no—
333#554C22×C15111yescharacteristic, complemented
334D4×Q8C22×C15111yescharacteristic
335#547C22×C15111yescharacteristic
336D42C22×C15111yescharacteristic
337#501—21no—
338#498C22×C15111yescharacteristic, complemented
339#498C22×C15111yescharacteristic, complemented
340#498C22×C15111yescharacteristic, complemented
341#492C22×C15111yescharacteristic
342#492C22×C15111yescharacteristic
343#492C22×C15111yescharacteristic
344#483—21no—
345#481—21no—
346#478—21no—
347#476—21no—
348#476C22×C15111yescharacteristic
349#476C22×C15111yescharacteristic
350#475C22×C15111yescharacteristic, complemented
351#474C22×C15111yescharacteristic, complemented
352#468—21no—
353#465—21no—
354#465—21no—
355#461C22×C15111yescharacteristic
356#461C22×C15111yescharacteristic
357#460C22×C15111yescharacteristic
358#459C22×C15111yescharacteristic
359#450—21no—
360#450—21no—
361#449—21no—
362#448—21no—
363#446C22×C15111yescharacteristic, complemented
364#442—21no—
365C4×SD16C22×C15111yescharacteristic
366C4×D8C22×C15111yescharacteristic
367#436C22×C15111yescharacteristic
368C8×D4C22×C15111yescharacteristic
369C8×D4C22×C15111yescharacteristic, complemented
370C2×#106—21no—
371#335C22×C15111yescharacteristic, complemented
372#334C22×C15111yescharacteristic, complemented
373#333C22×C15111yescharacteristic, complemented
374#332C22×C15111yescharacteristic, complemented
375#332C22×C15111yescharacteristic, complemented
376#331C22×C15111yescharacteristic
377Q8⋊C8C22×C15111yescharacteristic, complemented
378D4⋊C8C22×C15111yescharacteristic
379D4⋊C8C22×C15111yescharacteristic
380D4⋊C8C22×C15111yescharacteristic, complemented
381C82C22×C15111yescharacteristic, complemented
382C2×#41—21no—
383C22×Q8—21no—
384C22×D4—21no—
385C22×D4—21no—
386AGL(1,ℤ/8)—44no—
387C2×SD16—21no—
388C2×SD16—21no—
389C2×SD16—21no—
390C2×SD16—21no—
391C2×SD16—21no—
392C2×SD16—21no—
393C2×SD16—21no—
394C2×SD16—41no—
395C2×SD16—44no—
396C2×SD16D4×C15111yescharacteristic
397C2×D8—21no—
398C2×D8D4×C15111yescharacteristic
399C2×M16—21no—
400C22×C8—21no—
401C22×C8—21no—
402C4⋊Q8—21no—
403C4⋊Q8C23×C15111yescharacteristic
404C4⋊Q8C23×C15111yescharacteristic
405C4⋊Q8C23×C15111yescharacteristic
406#127C23×C15111yescharacteristic
407#125—21no—
408#123—41no—
409C22⋊Q8—21no—
410C22⋊Q8—21no—
411C22⋊Q8—21no—
412C22⋊Q8—41no—
413C22⋊Q8—41no—
414#121—21no—
415#121—21no—
416#121—21no—
417#120—41no—
418C4×Q8C23×C15111yescharacteristic
419C4×D4—21no—
420C4×D4—21no—
421C4×D4C23×C15111yescharacteristic
422C4×D4C23×C15111yescharacteristic
423C4×D4C23×C15111yescharacteristic
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426#107—21no—
427#107D4×C15111yescharacteristic
428#106—21no—
429#106—21no—
430#106—21no—
431#106—21no—
432#106—21no—
433#106—21no—
434#106—21no—
435#106—41no—
436#106D4×C15111yescharacteristic
437C4⋊C8—21no—
438C4⋊C8C23×C15111yescharacteristic
439C4⋊C8C23×C15111yescharacteristic
440C4⋊C8C23×C15111yescharacteristic
441C4⋊C8C23×C15111yescharacteristic
442#103—21no—
443#103—21no—
444#103—21no—
445#103D4×C15111yescharacteristic
446#102—21no—
447#102—21no—
448#102—21no—
449#102—21no—
450#102—21no—
451#102D4×C15111yescharacteristic
452#102D4×C15111yescharacteristic
453#102D4×C15111yescharacteristic
454C22⋊C8—21no—
455C22⋊C8—21no—
456C22⋊C8—21no—
457#97—21no—
458C4×C8C23×C15111yescharacteristic
459C4×C8C23×C15111yescharacteristic
460C4×C8C23×C15111yescharacteristic
461C24—41no—
462#41—42no—
463#41—81no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—41no—
468C2×Q8—42no—
469C2×Q8—81no—
470C2×Q8C2×D4×C15111yescharacteristic
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—41no—
475C2×D4—41no—
476C2×D4—42no—
477C2×D4—42no—
478C2×D4—41no—
479C2×D4—81no—
480C2×D4—81no—
481C2×D4C2×D4×C15111yescharacteristic
482C2×D4C2×D4×C15111yescharacteristic
483C2×D4C2×D4×C15111yescharacteristic
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—41no—
488C22×C4—41no—
489C22×C4—41no—
490SD16—22no—
491SD16—42no—
492SD16—42no—
493SD16—42no—
494SD16—42no—
495SD16—42no—
496SD16—81no—
497SD16—81no—
498SD16—82no—
499D8—42no—
500D8SD16×C15114yescomplemented
501M16—42no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—42no—
508C2×C8—42no—
509C2×C8C2×D4×C15111yescharacteristic
510C2×C8C2×D4×C15111yescharacteristic
511C2×C8C2×D4×C15111yescharacteristic
512C2×C8C2×D4×C15111yescharacteristic
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—41no—
521C4⋊C4—41no—
522C4⋊C4—41no—
523C4⋊C4—41no—
524C4⋊C4C2×D4×C15111yescharacteristic
525C4⋊C4C2×D4×C15111yescharacteristic
526C4⋊C4C2×D4×C15111yescharacteristic
527C4⋊C4C2×D4×C15111yescharacteristic
528C22⋊C4—21no—
529C22⋊C4—21no—
530C22⋊C4—21no—
531C22⋊C4—41no—
532C22⋊C4—41no—
533C22⋊C4—41no—
534C22⋊C4—41no—
535C42—21no—
536C42C24×C15111yescharacteristic
537C23—21no—
538C23—21no—
539C23—21no—
540C23—41no—
541C23—82no—
542C23—82no—
543C23—161no—
544Q8—21no—
545Q8—21no—
546Q8—41no—
547Q8—41no—
548Q8—41no—
549Q8—41no—
550Q8—81no—
551Q8—82no—
552D4—21no—
553D4—21no—
554D4—21no—
555D4—21no—
556D4—41no—
557D4—41no—
558D4—41no—
559D4—41no—
560D4—81no—
561D4—82no—
562D4—82no—
563D4—82no—
564D4C2×SD16×C15112yes—
565D4C2×SD16×C15112yescomplemented
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—82no—
581C2×C4—82no—
582C2×C4—161no—
583C2×C4C22×D4×C15111yescharacteristic
584C2×C4C22×D4×C15111yescharacteristic
585C2×C4H(5,𝔽2)×C15111yescharacteristic
586C8—22no—
587C8—21no—
588C8—21no—
589C8—41no—
590C8—41no—
591C8—41no—
592C8—41no—
593C8C2×SD16×C15112yescomplemented
594C8AGL(1,ℤ/8)×C15112yescomplemented
595C22—22no—
596C22—22no—
597C22—41no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—81no—
605C22—81no—
606C22—81no—
607C22—164no—
608C22D42×C15111yescharacteristic
609C4—21no—
610C4—41no—
611C4—41no—
612C4—41no—
613C4—41no—
614C4—41no—
615C4—81no—
616C4—81no—
617C4—81no—
618C4C22×SD16×C15111yescharacteristic
619C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
620C4#577×C15111yescharacteristic
621C4#577×C15111yescharacteristic
622C2—42no—
623C2—42no—
624C2—81no—
625C2—161no—
626C2#3272×C15111yescharacteristic
627C2D4×SD16×C15111yescharacteristic
628C2#3291×C15111yescharacteristic
subgroupG/H
center, socleC22×C151D42
commutator, Frattini, cosocleC42C24×C151
prime radical#3272×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. #3335×C151C2semidirect
3. D4×SD16×C151C2semidirect
5. #1705×C151C2semidirect
6. #1691×C151C2semidirect
7. #1686×C151C2semidirect
8. #1671×C151C2semidirect
9. #1665×C151C2semidirect
10. #1654×C151C2semidirect
11. #1651×C151C2semidirect
12. #1629×C151C2semidirect
13. #1622×C151C2semidirect
14. #1590×C151C2semidirect
15. C8×D8×C151C2semidirect
18. #554×C151C22semidirect
23. #498×C151C22semidirect
24. #498×C151C22semidirect
25. #498×C151C22semidirect
35. #475×C151C22semidirect
36. #474×C151C22semidirect
48. #446×C151C22semidirect
54. C8×D4×C151C22semidirect
56. #335×C151C22semidirect
57. #334×C151C22semidirect
58. #333×C151C22semidirect
59. #332×C151C22semidirect
60. #332×C151C22semidirect
62. Q8⋊C8×C151C22semidirect
65. D4⋊C8×C151C22semidirect
66. C82×C151C22semidirect
185. D8×C151SD16semidirect
250. D4×C151C2×SD16semidirect
278. C8×C151C2×SD16semidirect
279. C8×C151AGL(1,ℤ/8)semidirect
314. #19890C151direct (N × H)
315. C151#19890direct (N × H)
316. #3384C2×C151semidirect
317. #3335C2×C151semidirect
318. D4×SD16C2×C151semidirect
320. #1705C2×C151semidirect
321. #1691C2×C151semidirect
322. #1686C2×C151semidirect
323. #1671C2×C151semidirect
324. #1665C2×C151semidirect
325. #1654C2×C151semidirect
326. #1651C2×C151semidirect
327. #1629C2×C151semidirect
328. #1622C2×C151semidirect
329. #1590C2×C151semidirect
330. C8×D8C2×C151semidirect
333. #554C22×C151semidirect
338. #498C22×C151semidirect
339. #498C22×C151semidirect
340. #498C22×C151semidirect
350. #475C22×C151semidirect
351. #474C22×C151semidirect
363. #446C22×C151semidirect
369. C8×D4C22×C151semidirect
371. #335C22×C151semidirect
372. #334C22×C151semidirect
373. #333C22×C151semidirect
374. #332C22×C151semidirect
375. #332C22×C151semidirect
377. Q8⋊C8C22×C151semidirect
380. D4⋊C8C22×C151semidirect
381. C82C22×C151semidirect
500. D8SD16×C151semidirect
565. D4C2×SD16×C151semidirect
593. C8C2×SD16×C151semidirect
594. C8AGL(1,ℤ/8)×C151semidirect

Maximal subgroups

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

subgroupindex
#3384×C1512
#3335×C1512
D4×SD16×C1512
#3272×C1512
#1705×C1512
#1691×C1512
#1686×C1512
#1671×C1512
#1665×C1512
#1654×C1512
#1651×C1512
#1629×C1512
#1622×C1512
#1590×C1512
C8×D8×C1512
#19890151