Finite Group Databasebeta

← C151×#19788 #50324713

Subgroups — C151×#19788 #50324713

Order 38656.

704 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3366×C151C211yesmaximal, characteristic, complemented
2#3295×C151C211yesmaximal, characteristic, complemented
3#3294×C151C211yesmaximal, characteristic, complemented
4#3284×C151C211yesmaximal, characteristic, complemented
5#1717×C151C211yesmaximal, characteristic, complemented
6#1702×C151C211yesmaximal, characteristic, complemented
7#1677×C151C211yesmaximal, characteristic, complemented
8#1677×C151C211yesmaximal, characteristic, complemented
9#1665×C151C211yesmaximal, characteristic, complemented
10#1644×C151C211yesmaximal, characteristic, complemented
11#1635×C151C211yesmaximal, characteristic, complemented
12#1621×C151C211yesmaximal, characteristic, complemented
13#1619×C151C211yesmaximal, characteristic, complemented
14#1582×C151C211yesmaximal, characteristic, complemented
15#1580×C151C211yesmaximal, characteristic, complemented
16C2×#135×C151—21no—
17#554×C151C2211yescharacteristic
18#550×C151C2211yescharacteristic, complemented
19#547×C151C2211yescharacteristic
20D42×C151C2211yescharacteristic
21#493×C151C2211yescharacteristic
22#492×C151C2211yescharacteristic, complemented
23#490×C151—21no—
24#487×C151C2211yescharacteristic, complemented
25#486×C151C2211yescharacteristic
26#486×C151C2211yescharacteristic
27#486×C151C2211yescharacteristic, complemented
28#481×C151—21no—
29#480×C151—21no—
30#478×C151—21no—
31#476×C151C2211yescharacteristic
32#476×C151C2211yescharacteristic, complemented
33#474×C151C2211yescharacteristic
34#466×C151—21no—
35#465×C151—21no—
36#465×C151—21no—
37#462×C151C2211yescharacteristic, complemented
38#460×C151C2211yescharacteristic
39#459×C151—21no—
40#459×C151C2211yescharacteristic
41#459×C151C2211yescharacteristic
42#459×C151C2211yescharacteristic
43#452×C151—21no—
44#450×C151—21no—
45#449×C151—21no—
46#447×C151—21no—
47#446×C151C2211yescharacteristic, complemented
48#442×C151—21no—
49C4×SD16×C151C2211yescharacteristic
50C4×D8×C151C2211yescharacteristic
51C8×D4×C151C2211yescharacteristic
52C8×D4×C151C2211yescharacteristic
53C8×D4×C151C2211yescharacteristic, complemented
54C2×#102×C151—21no—
55C2×#102×C151—21no—
56#334×C151C2211yescharacteristic, complemented
57#334×C151C2211yescharacteristic, complemented
58#333×C151C2211yescharacteristic, complemented
59#332×C151C2211yescharacteristic, complemented
60#331×C151C2211yescharacteristic
61#331×C151C2211yescharacteristic, complemented
62Q8⋊C8×C151C2211yescharacteristic, complemented
63D4⋊C8×C151C2211yescharacteristic
64D4⋊C8×C151C2211yescharacteristic
65D4⋊C8×C151C2211yescharacteristic, complemented
66#322×C151C2211yescharacteristic, complemented
67C2×#41×C151—21no—
68C2×#41×C151—21no—
69C22×D4×C151—21no—
70C22×D4×C151—21no—
71#135×C151—44no—
72C2×Q16×C151—21no—
73C2×SD16×C151—21no—
74C2×SD16×C151—21no—
75C2×SD16×C151—21no—
76C2×SD16×C151D411yescharacteristic
77C2×D8×C151—21no—
78C2×D8×C151—21no—
79C2×D8×C151—21no—
80C2×D8×C151—41no—
81C2×D8×C151D411yescharacteristic
82C22×C8×C151—21no—
83C22×C8×C151—21no—
84C22×C8×C151—21no—
85C4⋊Q8×C151C2311yescharacteristic
86C4⋊Q8×C151C2311yescharacteristic
87#127×C151—21no—
88#127×C151C2311yescharacteristic
89#127×C151C2311yescharacteristic
90#125×C151—21no—
91#123×C151—41no—
92C22⋊Q8×C151—21no—
93C22⋊Q8×C151—21no—
94C22⋊Q8×C151—41no—
95#121×C151—21no—
96#121×C151—21no—
97#121×C151—21no—
98#121×C151—21no—
99#121×C151—41no—
100#120×C151—41no—
101C4×Q8×C151C2311yescharacteristic
102C4×D4×C151—21no—
103C4×D4×C151—21no—
104C4×D4×C151C2311yescharacteristic
105C4×D4×C151C2311yescharacteristic
106C4×D4×C151C2311yescharacteristic
107C2×C4⋊C4×C151—21no—
108C2×C4⋊C4×C151—21no—
109#107×C151—21no—
110#107×C151D411yescharacteristic
111#106×C151—21no—
112#106×C151—21no—
113#106×C151D411yescharacteristic
114C4⋊C8×C151—21no—
115C4⋊C8×C151C2311yescharacteristic
116C4⋊C8×C151C2311yescharacteristic
117C4⋊C8×C151C2311yescharacteristic
118C4⋊C8×C151C2311yescharacteristic
119#103×C151—21no—
120#103×C151—41no—
121#103×C151D411yescharacteristic
122#102×C151—21no—
123#102×C151—21no—
124#102×C151—21no—
125#102×C151—21no—
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×C151D411yescharacteristic
136#102×C151D411yescharacteristic
137#102×C151D411yescharacteristic
138C22⋊C8×C151—21no—
139C22⋊C8×C151—21no—
140C22⋊C8×C151—21no—
141#97×C151—21no—
142C4×C8×C151C2311yescharacteristic
143C4×C8×C151C2311yescharacteristic
144C4×C8×C151C2311yescharacteristic
145C24×C151—41no—
146#41×C151—42no—
147#41×C151—42no—
148#41×C151—81no—
149#41×C151—81no—
150C2×Q8×C151—21no—
151C2×Q8×C151—21no—
152C2×Q8×C151C2×D411yescharacteristic
153C2×D4×C151—21no—
154C2×D4×C151—21no—
155C2×D4×C151—21no—
156C2×D4×C151—21no—
157C2×D4×C151—21no—
158C2×D4×C151—21no—
159C2×D4×C151—41no—
160C2×D4×C151—41no—
161C2×D4×C151—41no—
162C2×D4×C151—41no—
163C2×D4×C151—42no—
164C2×D4×C151—42no—
165C2×D4×C151—41no—
166C2×D4×C151—81no—
167C2×D4×C151—81no—
168C2×D4×C151C2×D411yescharacteristic
169C2×D4×C151C2×D411yescharacteristic
170C2×D4×C151C2×D411yescharacteristic
171C22×C4×C151—21no—
172C22×C4×C151—21no—
173C22×C4×C151—21no—
174C22×C4×C151—41no—
175C22×C4×C151—41no—
176C22×C4×C151—41no—
177Q16×C151—42no—
178SD16×C151—22no—
179SD16×C151—42no—
180SD16×C151—81no—
181SD16×C151—81no—
182D8×C151—22no—
183D8×C151—42no—
184D8×C151—42no—
185D8×C151—81no—
186D8×C151—82no—
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—81no—
194C2×C8×C151—81no—
195C2×C8×C151C2×D411yescharacteristic
196C2×C8×C151C2×D411yescharacteristic
197C2×C8×C151C2×D411yescharacteristic
198C2×C8×C151C2×D411yescharacteristic
199C4⋊C4×C151—21no—
200C4⋊C4×C151—21no—
201C4⋊C4×C151—21no—
202C4⋊C4×C151—21no—
203C4⋊C4×C151—21no—
204C4⋊C4×C151—41no—
205C4⋊C4×C151—41no—
206C4⋊C4×C151—41no—
207C4⋊C4×C151C2×D411yescharacteristic
208C4⋊C4×C151C2×D411yescharacteristic
209C4⋊C4×C151C2×D411yescharacteristic
210C4⋊C4×C151C2×D411yescharacteristic
211C22⋊C4×C151—21no—
212C22⋊C4×C151—21no—
213C22⋊C4×C151—21no—
214C22⋊C4×C151—41no—
215C22⋊C4×C151—41no—
216C22⋊C4×C151—41no—
217C22⋊C4×C151—41no—
218C42×C151—21no—
219C42×C151C2411yescharacteristic
220C23×C151—21no—
221C23×C151—21no—
222C23×C151—21no—
223C23×C151—41no—
224C23×C151—41no—
225C23×C151—82no—
226C23×C151—82no—
227C23×C151—161no—
228Q8×C151—21no—
229Q8×C151—21no—
230Q8×C151—41no—
231Q8×C151—41no—
232Q8×C151—81no—
233D4×C151—21no—
234D4×C151—21no—
235D4×C151—21no—
236D4×C151—21no—
237D4×C151—41no—
238D4×C151—41no—
239D4×C151—41no—
240D4×C151—41no—
241D4×C151—41no—
242D4×C151—41no—
243D4×C151—41no—
244D4×C151—41no—
245D4×C151—81no—
246D4×C151—81no—
247D4×C151—82no—
248D4×C151—82no—
249D4×C151—82no—
250D4×C151—82no—
251D4×C151—161no—
252D4×C151#13512yescomplemented
253D4×C151AGL(1,ℤ/8)12yes—
254C2×C4×C151—21no—
255C2×C4×C151—21no—
256C2×C4×C151—21no—
257C2×C4×C151—21no—
258C2×C4×C151—21no—
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—41no—
266C2×C4×C151—41no—
267C2×C4×C151—82no—
268C2×C4×C151—82no—
269C2×C4×C151—161no—
270C2×C4×C151C22×D411yescharacteristic
271C2×C4×C151C22×D411yescharacteristic
272C2×C4×C151H(5,𝔽2)11yescharacteristic
273C8×C151—21no—
274C8×C151—21no—
275C8×C151—21no—
276C8×C151—21no—
277C8×C151—41no—
278C8×C151—41no—
279C8×C151—41no—
280C8×C151—41no—
281C8×C151—41no—
282C22×C151—22no—
283C22×C151—22no—
284C22×C151—41no—
285C22×C151—41no—
286C22×C151—41no—
287C22×C151—41no—
288C22×C151—41no—
289C22×C151—41no—
290C22×C151—41no—
291C22×C151—81no—
292C22×C151—81no—
293C22×C151—81no—
294C22×C151—81no—
295C22×C151—81no—
296C22×C151—81no—
297C22×C151—164no—
298C22×C151D4211yescharacteristic
299C4×C151—21no—
300C4×C151—41no—
301C4×C151—41no—
302C4×C151—41no—
303C4×C151—41no—
304C4×C151—41no—
305C4×C151—81no—
306C4×C151—81no—
307C4×C151C2×#13511yescharacteristic
308C4×C151C2×AGL(1,ℤ/8)11yescharacteristic
309C4×C151#57611yescharacteristic
310C4×C151#57711yescharacteristic
311C2×C151—42no—
312C2×C151—42no—
313C2×C151—81no—
314C2×C151—161no—
315C2×C151—161no—
316C2×C151#326411yescharacteristic
317C2×C151#328211yescharacteristic
318C2×C151#328811yescharacteristic
319#19788C15111yesmaximal, characteristic, direct product factor, Sylow
320C151#1978811yescharacteristic, direct product factor, Sylow
321#3366C2×C15111yescharacteristic, complemented
322#3295C2×C15111yescharacteristic, complemented
323#3294C2×C15111yescharacteristic, complemented
324#3284C2×C15111yescharacteristic, complemented
325#1717C2×C15111yescharacteristic, complemented
326#1702C2×C15111yescharacteristic, complemented
327#1677C2×C15111yescharacteristic, complemented
328#1677C2×C15111yescharacteristic, complemented
329#1665C2×C15111yescharacteristic, complemented
330#1644C2×C15111yescharacteristic, complemented
331#1635C2×C15111yescharacteristic, complemented
332#1621C2×C15111yescharacteristic, complemented
333#1619C2×C15111yescharacteristic, complemented
334#1582C2×C15111yescharacteristic, complemented
335#1580C2×C15111yescharacteristic, complemented
336C2×#135—21no—
337#554C22×C15111yescharacteristic
338#550C22×C15111yescharacteristic, complemented
339#547C22×C15111yescharacteristic
340D42C22×C15111yescharacteristic
341#493C22×C15111yescharacteristic
342#492C22×C15111yescharacteristic, complemented
343#490—21no—
344#487C22×C15111yescharacteristic, complemented
345#486C22×C15111yescharacteristic
346#486C22×C15111yescharacteristic
347#486C22×C15111yescharacteristic, complemented
348#481—21no—
349#480—21no—
350#478—21no—
351#476C22×C15111yescharacteristic
352#476C22×C15111yescharacteristic, complemented
353#474C22×C15111yescharacteristic
354#466—21no—
355#465—21no—
356#465—21no—
357#462C22×C15111yescharacteristic, complemented
358#460C22×C15111yescharacteristic
359#459—21no—
360#459C22×C15111yescharacteristic
361#459C22×C15111yescharacteristic
362#459C22×C15111yescharacteristic
363#452—21no—
364#450—21no—
365#449—21no—
366#447—21no—
367#446C22×C15111yescharacteristic, complemented
368#442—21no—
369C4×SD16C22×C15111yescharacteristic
370C4×D8C22×C15111yescharacteristic
371C8×D4C22×C15111yescharacteristic
372C8×D4C22×C15111yescharacteristic
373C8×D4C22×C15111yescharacteristic, complemented
374C2×#102—21no—
375C2×#102—21no—
376#334C22×C15111yescharacteristic, complemented
377#334C22×C15111yescharacteristic, complemented
378#333C22×C15111yescharacteristic, complemented
379#332C22×C15111yescharacteristic, complemented
380#331C22×C15111yescharacteristic
381#331C22×C15111yescharacteristic, complemented
382Q8⋊C8C22×C15111yescharacteristic, complemented
383D4⋊C8C22×C15111yescharacteristic
384D4⋊C8C22×C15111yescharacteristic
385D4⋊C8C22×C15111yescharacteristic, complemented
386#322C22×C15111yescharacteristic, complemented
387C2×#41—21no—
388C2×#41—21no—
389C22×D4—21no—
390C22×D4—21no—
391#135—44no—
392C2×Q16—21no—
393C2×SD16—21no—
394C2×SD16—21no—
395C2×SD16—21no—
396C2×SD16D4×C15111yescharacteristic
397C2×D8—21no—
398C2×D8—21no—
399C2×D8—21no—
400C2×D8—41no—
401C2×D8D4×C15111yescharacteristic
402C22×C8—21no—
403C22×C8—21no—
404C22×C8—21no—
405C4⋊Q8C23×C15111yescharacteristic
406C4⋊Q8C23×C15111yescharacteristic
407#127—21no—
408#127C23×C15111yescharacteristic
409#127C23×C15111yescharacteristic
410#125—21no—
411#123—41no—
412C22⋊Q8—21no—
413C22⋊Q8—21no—
414C22⋊Q8—41no—
415#121—21no—
416#121—21no—
417#121—21no—
418#121—21no—
419#121—41no—
420#120—41no—
421C4×Q8C23×C15111yescharacteristic
422C4×D4—21no—
423C4×D4—21no—
424C4×D4C23×C15111yescharacteristic
425C4×D4C23×C15111yescharacteristic
426C4×D4C23×C15111yescharacteristic
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429#107—21no—
430#107D4×C15111yescharacteristic
431#106—21no—
432#106—21no—
433#106D4×C15111yescharacteristic
434C4⋊C8—21no—
435C4⋊C8C23×C15111yescharacteristic
436C4⋊C8C23×C15111yescharacteristic
437C4⋊C8C23×C15111yescharacteristic
438C4⋊C8C23×C15111yescharacteristic
439#103—21no—
440#103—41no—
441#103D4×C15111yescharacteristic
442#102—21no—
443#102—21no—
444#102—21no—
445#102—21no—
446#102—21no—
447#102—21no—
448#102—21no—
449#102—21no—
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102D4×C15111yescharacteristic
456#102D4×C15111yescharacteristic
457#102D4×C15111yescharacteristic
458C22⋊C8—21no—
459C22⋊C8—21no—
460C22⋊C8—21no—
461#97—21no—
462C4×C8C23×C15111yescharacteristic
463C4×C8C23×C15111yescharacteristic
464C4×C8C23×C15111yescharacteristic
465C24—41no—
466#41—42no—
467#41—42no—
468#41—81no—
469#41—81no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8C2×D4×C15111yescharacteristic
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—41no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—41no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4C2×D4×C15111yescharacteristic
489C2×D4C2×D4×C15111yescharacteristic
490C2×D4C2×D4×C15111yescharacteristic
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497Q16—42no—
498SD16—22no—
499SD16—42no—
500SD16—81no—
501SD16—81no—
502D8—22no—
503D8—42no—
504D8—42no—
505D8—81no—
506D8—82no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—42no—
513C2×C8—81no—
514C2×C8—81no—
515C2×C8C2×D4×C15111yescharacteristic
516C2×C8C2×D4×C15111yescharacteristic
517C2×C8C2×D4×C15111yescharacteristic
518C2×C8C2×D4×C15111yescharacteristic
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4—41no—
527C4⋊C4C2×D4×C15111yescharacteristic
528C4⋊C4C2×D4×C15111yescharacteristic
529C4⋊C4C2×D4×C15111yescharacteristic
530C4⋊C4C2×D4×C15111yescharacteristic
531C22⋊C4—21no—
532C22⋊C4—21no—
533C22⋊C4—21no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C42—21no—
539C42C24×C15111yescharacteristic
540C23—21no—
541C23—21no—
542C23—21no—
543C23—41no—
544C23—41no—
545C23—82no—
546C23—82no—
547C23—161no—
548Q8—21no—
549Q8—21no—
550Q8—41no—
551Q8—41no—
552Q8—81no—
553D4—21no—
554D4—21no—
555D4—21no—
556D4—21no—
557D4—41no—
558D4—41no—
559D4—41no—
560D4—41no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—81no—
566D4—81no—
567D4—82no—
568D4—82no—
569D4—82no—
570D4—82no—
571D4—161no—
572D4#135×C15112yescomplemented
573D4AGL(1,ℤ/8)×C15112yes—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—82no—
588C2×C4—82no—
589C2×C4—161no—
590C2×C4C22×D4×C15111yescharacteristic
591C2×C4C22×D4×C15111yescharacteristic
592C2×C4H(5,𝔽2)×C15111yescharacteristic
593C8—21no—
594C8—21no—
595C8—21no—
596C8—21no—
597C8—41no—
598C8—41no—
599C8—41no—
600C8—41no—
601C8—41no—
602C22—22no—
603C22—22no—
604C22—41no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—81no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—164no—
618C22D42×C15111yescharacteristic
619C4—21no—
620C4—41no—
621C4—41no—
622C4—41no—
623C4—41no—
624C4—41no—
625C4—81no—
626C4—81no—
627C4C2×#135×C15111yescharacteristic
628C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
629C4#576×C15111yescharacteristic
630C4#577×C15111yescharacteristic
631C2—42no—
632C2—42no—
633C2—81no—
634C2—161no—
635C2—161no—
636C2#3264×C15111yescharacteristic
637C2#3282×C15111yescharacteristic
638C2#3288×C15111yescharacteristic
subgroupG/H
center, socleC22×C151D42
commutator, Frattini, cosocleC42C24×C151
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. #3366×C151C2semidirect
2. #3295×C151C2semidirect
3. #3294×C151C2semidirect
4. #3284×C151C2semidirect
5. #1717×C151C2semidirect
6. #1702×C151C2semidirect
7. #1677×C151C2semidirect
8. #1677×C151C2semidirect
9. #1665×C151C2semidirect
10. #1644×C151C2semidirect
11. #1635×C151C2semidirect
12. #1621×C151C2semidirect
13. #1619×C151C2semidirect
14. #1582×C151C2semidirect
15. #1580×C151C2semidirect
18. #550×C151C22semidirect
22. #492×C151C22semidirect
24. #487×C151C22semidirect
27. #486×C151C22semidirect
32. #476×C151C22semidirect
37. #462×C151C22semidirect
47. #446×C151C22semidirect
53. C8×D4×C151C22semidirect
56. #334×C151C22semidirect
57. #334×C151C22semidirect
58. #333×C151C22semidirect
59. #332×C151C22semidirect
61. #331×C151C22semidirect
62. Q8⋊C8×C151C22semidirect
65. D4⋊C8×C151C22semidirect
66. #322×C151C22semidirect
252. D4×C151#135semidirect
319. #19788C151direct (N × H)
320. C151#19788direct (N × H)
321. #3366C2×C151semidirect
322. #3295C2×C151semidirect
323. #3294C2×C151semidirect
324. #3284C2×C151semidirect
325. #1717C2×C151semidirect
326. #1702C2×C151semidirect
327. #1677C2×C151semidirect
328. #1677C2×C151semidirect
329. #1665C2×C151semidirect
330. #1644C2×C151semidirect
331. #1635C2×C151semidirect
332. #1621C2×C151semidirect
333. #1619C2×C151semidirect
334. #1582C2×C151semidirect
335. #1580C2×C151semidirect
338. #550C22×C151semidirect
342. #492C22×C151semidirect
344. #487C22×C151semidirect
347. #486C22×C151semidirect
352. #476C22×C151semidirect
357. #462C22×C151semidirect
367. #446C22×C151semidirect
373. C8×D4C22×C151semidirect
376. #334C22×C151semidirect
377. #334C22×C151semidirect
378. #333C22×C151semidirect
379. #332C22×C151semidirect
381. #331C22×C151semidirect
382. Q8⋊C8C22×C151semidirect
385. D4⋊C8C22×C151semidirect
386. #322C22×C151semidirect
572. D4#135×C151semidirect

Maximal subgroups

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

subgroupindex
#3366×C1512
#3295×C1512
#3294×C1512
#3284×C1512
#1717×C1512
#1702×C1512
#1677×C1512
#1665×C1512
#1644×C1512
#1635×C1512
#1621×C1512
#1619×C1512
#1582×C1512
#1580×C1512
#19788151