Finite Group Databasebeta

← C151×#19803 #50324728

Subgroups — C151×#19803 #50324728

Order 38656.

728 conjugacy classes of subgroups.

The subgroup lattice has 638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×D8×C151C211yesmaximal, characteristic, complemented
2#3298×C151C211yesmaximal, characteristic, complemented
3D4×SD16×C151C211yesmaximal, characteristic, complemented
4#3272×C151C211yesmaximal, characteristic
5#1714×C151C211yesmaximal, characteristic, complemented
6#1693×C151C211yesmaximal, characteristic, complemented
7#1679×C151C211yesmaximal, characteristic, complemented
8#1666×C151C211yesmaximal, characteristic, complemented
9#1665×C151C211yesmaximal, characteristic, complemented
10#1654×C151C211yesmaximal, characteristic, complemented
11#1651×C151C211yesmaximal, characteristic, complemented
12#1639×C151C211yesmaximal, characteristic, complemented
13#1627×C151C211yesmaximal, characteristic, complemented
14#1583×C151C211yesmaximal, characteristic, complemented
15#1580×C151C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C151—21no—
17C22×SD16×C151—21no—
18D4×Q8×C151C2211yescharacteristic
19D4×Q8×C151C2211yescharacteristic, complemented
20#547×C151C2211yescharacteristic
21D42×C151C2211yescharacteristic
22#500×C151—21no—
23#500×C151C2211yescharacteristic, complemented
24#498×C151C2211yescharacteristic, complemented
25#492×C151C2211yescharacteristic
26#492×C151C2211yescharacteristic
27#487×C151C2211yescharacteristic, complemented
28#486×C151C2211yescharacteristic
29#483×C151—21no—
30#475×C151C2211yescharacteristic, complemented
31#474×C151—21no—
32#474×C151—21no—
33#474×C151C2211yescharacteristic
34#474×C151C2211yescharacteristic, complemented
35#468×C151—21no—
36#465×C151—21no—
37#465×C151—21no—
38#461×C151C2211yescharacteristic
39#461×C151C2211yescharacteristic
40#461×C151C2211yescharacteristic
41#460×C151C2211yescharacteristic
42#459×C151C2211yescharacteristic
43#450×C151—21no—
44#450×C151—21no—
45#449×C151—21no—
46#448×C151—21no—
47#448×C151—21no—
48C8×Q8×C151C2211yescharacteristic, complemented
49C4×SD16×C151C2211yescharacteristic
50C4×D8×C151—21no—
51C4×D8×C151C2211yescharacteristic
52#436×C151C2211yescharacteristic
53C8×D4×C151C2211yescharacteristic
54C8×D4×C151C2211yescharacteristic, complemented
55C2×#103×C151—21no—
56#334×C151C2211yescharacteristic, complemented
57#334×C151C2211yescharacteristic, complemented
58#332×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
66#322×C151C2211yescharacteristic, complemented
67C2×#41×C151—21no—
68C22×Q8×C151—21no—
69C22×Q8×C151—21no—
70C22×D4×C151—21no—
71C22×D4×C151—21no—
72AGL(1,ℤ/8)×C151—44no—
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—21no—
80C2×SD16×C151—21no—
81C2×SD16×C151—44no—
82C2×SD16×C151D411yescharacteristic
83C2×D8×C151—21no—
84C2×D8×C151D411yescharacteristic
85C2×M16×C151—21no—
86C22×C8×C151—21no—
87C22×C8×C151—21no—
88C4⋊Q8×C151—21no—
89C4⋊Q8×C151—21no—
90C4⋊Q8×C151C2311yescharacteristic
91C4⋊Q8×C151C2311yescharacteristic
92C4⋊Q8×C151C2311yescharacteristic
93#127×C151C2311yescharacteristic
94#123×C151—41no—
95C22⋊Q8×C151—21no—
96C22⋊Q8×C151—21no—
97C22⋊Q8×C151—21no—
98C22⋊Q8×C151—41no—
99C22⋊Q8×C151—41no—
100#121×C151—21no—
101#121×C151—21no—
102#121×C151—21no—
103#120×C151—41no—
104C4×Q8×C151C2311yescharacteristic
105C4×D4×C151—21no—
106C4×D4×C151—21no—
107C4×D4×C151C2311yescharacteristic
108C4×D4×C151C2311yescharacteristic
109C4×D4×C151C2311yescharacteristic
110C2×C4⋊C4×C151—21no—
111#107×C151—21no—
112#107×C151—21no—
113#107×C151—21no—
114#107×C151—21no—
115#107×C151D411yescharacteristic
116#106×C151—21no—
117#106×C151—41no—
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×C151—21no—
126#103×C151—21no—
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—41no—
136#102×C151D411yescharacteristic
137#102×C151D411yescharacteristic
138#102×C151D411yescharacteristic
139C22⋊C8×C151—21no—
140C22⋊C8×C151—21no—
141C22⋊C8×C151—21no—
142C4×C8×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—41no—
154C2×Q8×C151—42no—
155C2×Q8×C151—42no—
156C2×Q8×C151—81no—
157C2×Q8×C151—81no—
158C2×Q8×C151C2×D411yescharacteristic
159C2×D4×C151—21no—
160C2×D4×C151—21no—
161C2×D4×C151—21no—
162C2×D4×C151—41no—
163C2×D4×C151—41no—
164C2×D4×C151—42no—
165C2×D4×C151—42no—
166C2×D4×C151—41no—
167C2×D4×C151—81no—
168C2×D4×C151—81no—
169C2×D4×C151C2×D411yescharacteristic
170C2×D4×C151C2×D411yescharacteristic
171C2×D4×C151C2×D411yescharacteristic
172C22×C4×C151—21no—
173C22×C4×C151—21no—
174C22×C4×C151—21no—
175C22×C4×C151—41no—
176C22×C4×C151—41no—
177C22×C4×C151—41no—
178SD16×C151—22no—
179SD16×C151—42no—
180SD16×C151—42no—
181SD16×C151—42no—
182SD16×C151—42no—
183SD16×C151—42no—
184SD16×C151—81no—
185SD16×C151—81no—
186SD16×C151—81no—
187D8×C151—42no—
188D8×C151SD1614yescomplemented
189M16×C151—42no—
190C2×C8×C151—21no—
191C2×C8×C151—21no—
192C2×C8×C151—21no—
193C2×C8×C151—21no—
194C2×C8×C151—21no—
195C2×C8×C151—42no—
196C2×C8×C151—81no—
197C2×C8×C151C2×D411yescharacteristic
198C2×C8×C151C2×D411yescharacteristic
199C2×C8×C151C2×D411yescharacteristic
200C2×C8×C151C2×D411yescharacteristic
201C4⋊C4×C151—21no—
202C4⋊C4×C151—21no—
203C4⋊C4×C151—21no—
204C4⋊C4×C151—21no—
205C4⋊C4×C151—21no—
206C4⋊C4×C151—21no—
207C4⋊C4×C151—21no—
208C4⋊C4×C151—41no—
209C4⋊C4×C151—41no—
210C4⋊C4×C151—41no—
211C4⋊C4×C151C2×D411yescharacteristic
212C4⋊C4×C151C2×D411yescharacteristic
213C4⋊C4×C151C2×D411yescharacteristic
214C4⋊C4×C151C2×D411yescharacteristic
215C22⋊C4×C151—21no—
216C22⋊C4×C151—21no—
217C22⋊C4×C151—21no—
218C22⋊C4×C151—41no—
219C22⋊C4×C151—41no—
220C22⋊C4×C151—41no—
221C22⋊C4×C151—41no—
222C42×C151—21no—
223C42×C151C2411yescharacteristic
224C23×C151—21no—
225C23×C151—21no—
226C23×C151—21no—
227C23×C151—41no—
228C23×C151—82no—
229C23×C151—82no—
230C23×C151—161no—
231Q8×C151—21no—
232Q8×C151—41no—
233Q8×C151—41no—
234Q8×C151—41no—
235Q8×C151—41no—
236Q8×C151—41no—
237Q8×C151—41no—
238Q8×C151—82no—
239Q8×C151—82no—
240Q8×C151AGL(1,ℤ/8)12yescomplemented
241D4×C151—21no—
242D4×C151—21no—
243D4×C151—21no—
244D4×C151—21no—
245D4×C151—41no—
246D4×C151—41no—
247D4×C151—41no—
248D4×C151—41no—
249D4×C151—81no—
250D4×C151—82no—
251D4×C151—82no—
252D4×C151—82no—
253D4×C151C2×SD1612yes—
254D4×C151C2×SD1612yescomplemented
255C2×C4×C151—21no—
256C2×C4×C151—21no—
257C2×C4×C151—21no—
258C2×C4×C151—21no—
259C2×C4×C151—21no—
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—41no—
268C2×C4×C151—41no—
269C2×C4×C151—82no—
270C2×C4×C151—82no—
271C2×C4×C151—82no—
272C2×C4×C151C22×D411yescharacteristic
273C2×C4×C151C22×D411yescharacteristic
274C2×C4×C151H(5,𝔽2)11yescharacteristic
275C8×C151—21no—
276C8×C151—21no—
277C8×C151—21no—
278C8×C151—41no—
279C8×C151—41no—
280C8×C151—41no—
281C8×C151—41no—
282C8×C151—41no—
283C8×C151C2×SD1612yescomplemented
284C22×C151—22no—
285C22×C151—22no—
286C22×C151—41no—
287C22×C151—41no—
288C22×C151—41no—
289C22×C151—41no—
290C22×C151—41no—
291C22×C151—41no—
292C22×C151—41no—
293C22×C151—81no—
294C22×C151—81no—
295C22×C151—81no—
296C22×C151—164no—
297C22×C151D4211yescharacteristic
298C4×C151—22no—
299C4×C151—21no—
300C4×C151—41no—
301C4×C151—41no—
302C4×C151—41no—
303C4×C151—41no—
304C4×C151—81no—
305C4×C151—81no—
306C4×C151—81no—
307C4×C151C22×SD1611yescharacteristic
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#326411yescharacteristic
316C2×C151D4×SD1611yescharacteristic
317C2×C151#328911yescharacteristic
318#19803C15111yesmaximal, characteristic, direct product factor, Sylow
319C151#1980311yescharacteristic, direct product factor, Sylow
320Q8×D8C2×C15111yescharacteristic, complemented
321#3298C2×C15111yescharacteristic, complemented
322D4×SD16C2×C15111yescharacteristic, complemented
323#3272C2×C15111yescharacteristic
324#1714C2×C15111yescharacteristic, complemented
325#1693C2×C15111yescharacteristic, complemented
326#1679C2×C15111yescharacteristic, complemented
327#1666C2×C15111yescharacteristic, complemented
328#1665C2×C15111yescharacteristic, complemented
329#1654C2×C15111yescharacteristic, complemented
330#1651C2×C15111yescharacteristic, complemented
331#1639C2×C15111yescharacteristic, complemented
332#1627C2×C15111yescharacteristic, complemented
333#1583C2×C15111yescharacteristic, complemented
334#1580C2×C15111yescharacteristic, complemented
335C2×AGL(1,ℤ/8)—21no—
336C22×SD16—21no—
337D4×Q8C22×C15111yescharacteristic
338D4×Q8C22×C15111yescharacteristic, complemented
339#547C22×C15111yescharacteristic
340D42C22×C15111yescharacteristic
341#500—21no—
342#500C22×C15111yescharacteristic, complemented
343#498C22×C15111yescharacteristic, complemented
344#492C22×C15111yescharacteristic
345#492C22×C15111yescharacteristic
346#487C22×C15111yescharacteristic, complemented
347#486C22×C15111yescharacteristic
348#483—21no—
349#475C22×C15111yescharacteristic, complemented
350#474—21no—
351#474—21no—
352#474C22×C15111yescharacteristic
353#474C22×C15111yescharacteristic, complemented
354#468—21no—
355#465—21no—
356#465—21no—
357#461C22×C15111yescharacteristic
358#461C22×C15111yescharacteristic
359#461C22×C15111yescharacteristic
360#460C22×C15111yescharacteristic
361#459C22×C15111yescharacteristic
362#450—21no—
363#450—21no—
364#449—21no—
365#448—21no—
366#448—21no—
367C8×Q8C22×C15111yescharacteristic, complemented
368C4×SD16C22×C15111yescharacteristic
369C4×D8—21no—
370C4×D8C22×C15111yescharacteristic
371#436C22×C15111yescharacteristic
372C8×D4C22×C15111yescharacteristic
373C8×D4C22×C15111yescharacteristic, complemented
374C2×#103—21no—
375#334C22×C15111yescharacteristic, complemented
376#334C22×C15111yescharacteristic, complemented
377#332C22×C15111yescharacteristic, complemented
378#332C22×C15111yescharacteristic, complemented
379#332C22×C15111yescharacteristic, complemented
380#331C22×C15111yescharacteristic
381Q8⋊C8C22×C15111yescharacteristic, complemented
382D4⋊C8C22×C15111yescharacteristic
383D4⋊C8C22×C15111yescharacteristic
384D4⋊C8C22×C15111yescharacteristic, complemented
385#322C22×C15111yescharacteristic, complemented
386C2×#41—21no—
387C22×Q8—21no—
388C22×Q8—21no—
389C22×D4—21no—
390C22×D4—21no—
391AGL(1,ℤ/8)—44no—
392C2×SD16—21no—
393C2×SD16—21no—
394C2×SD16—21no—
395C2×SD16—21no—
396C2×SD16—21no—
397C2×SD16—21no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×SD16—44no—
401C2×SD16D4×C15111yescharacteristic
402C2×D8—21no—
403C2×D8D4×C15111yescharacteristic
404C2×M16—21no—
405C22×C8—21no—
406C22×C8—21no—
407C4⋊Q8—21no—
408C4⋊Q8—21no—
409C4⋊Q8C23×C15111yescharacteristic
410C4⋊Q8C23×C15111yescharacteristic
411C4⋊Q8C23×C15111yescharacteristic
412#127C23×C15111yescharacteristic
413#123—41no—
414C22⋊Q8—21no—
415C22⋊Q8—21no—
416C22⋊Q8—21no—
417C22⋊Q8—41no—
418C22⋊Q8—41no—
419#121—21no—
420#121—21no—
421#121—21no—
422#120—41no—
423C4×Q8C23×C15111yescharacteristic
424C4×D4—21no—
425C4×D4—21no—
426C4×D4C23×C15111yescharacteristic
427C4×D4C23×C15111yescharacteristic
428C4×D4C23×C15111yescharacteristic
429C2×C4⋊C4—21no—
430#107—21no—
431#107—21no—
432#107—21no—
433#107—21no—
434#107D4×C15111yescharacteristic
435#106—21no—
436#106—41no—
437#106D4×C15111yescharacteristic
438C4⋊C8—21no—
439C4⋊C8C23×C15111yescharacteristic
440C4⋊C8C23×C15111yescharacteristic
441C4⋊C8C23×C15111yescharacteristic
442C4⋊C8C23×C15111yescharacteristic
443#103—21no—
444#103—21no—
445#103—21no—
446#103—21no—
447#103—21no—
448#103—21no—
449#103D4×C15111yescharacteristic
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—41no—
455#102D4×C15111yescharacteristic
456#102D4×C15111yescharacteristic
457#102D4×C15111yescharacteristic
458C22⋊C8—21no—
459C22⋊C8—21no—
460C22⋊C8—21no—
461C4×C8—21no—
462C4×C8C23×C15111yescharacteristic
463C4×C8C23×C15111yescharacteristic
464C4×C8C23×C15111yescharacteristic
465C24—41no—
466#41—42no—
467#41—81no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—41no—
472C2×Q8—41no—
473C2×Q8—42no—
474C2×Q8—42no—
475C2×Q8—81no—
476C2×Q8—81no—
477C2×Q8C2×D4×C15111yescharacteristic
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
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—
497SD16—22no—
498SD16—42no—
499SD16—42no—
500SD16—42no—
501SD16—42no—
502SD16—42no—
503SD16—81no—
504SD16—81no—
505SD16—81no—
506D8—42no—
507D8SD16×C15114yescomplemented
508M16—42no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—42no—
515C2×C8—81no—
516C2×C8C2×D4×C15111yescharacteristic
517C2×C8C2×D4×C15111yescharacteristic
518C2×C8C2×D4×C15111yescharacteristic
519C2×C8C2×D4×C15111yescharacteristic
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—41no—
528C4⋊C4—41no—
529C4⋊C4—41no—
530C4⋊C4C2×D4×C15111yescharacteristic
531C4⋊C4C2×D4×C15111yescharacteristic
532C4⋊C4C2×D4×C15111yescharacteristic
533C4⋊C4C2×D4×C15111yescharacteristic
534C22⋊C4—21no—
535C22⋊C4—21no—
536C22⋊C4—21no—
537C22⋊C4—41no—
538C22⋊C4—41no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C42—21no—
542C42C24×C15111yescharacteristic
543C23—21no—
544C23—21no—
545C23—21no—
546C23—41no—
547C23—82no—
548C23—82no—
549C23—161no—
550Q8—21no—
551Q8—41no—
552Q8—41no—
553Q8—41no—
554Q8—41no—
555Q8—41no—
556Q8—41no—
557Q8—82no—
558Q8—82no—
559Q8AGL(1,ℤ/8)×C15112yescomplemented
560D4—21no—
561D4—21no—
562D4—21no—
563D4—21no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—81no—
569D4—82no—
570D4—82no—
571D4—82no—
572D4C2×SD16×C15112yes—
573D4C2×SD16×C15112yescomplemented
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—41no—
588C2×C4—82no—
589C2×C4—82no—
590C2×C4—82no—
591C2×C4C22×D4×C15111yescharacteristic
592C2×C4C22×D4×C15111yescharacteristic
593C2×C4H(5,𝔽2)×C15111yescharacteristic
594C8—21no—
595C8—21no—
596C8—21no—
597C8—41no—
598C8—41no—
599C8—41no—
600C8—41no—
601C8—41no—
602C8C2×SD16×C15112yescomplemented
603C22—22no—
604C22—22no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—164no—
616C22D42×C15111yescharacteristic
617C4—22no—
618C4—21no—
619C4—41no—
620C4—41no—
621C4—41no—
622C4—41no—
623C4—81no—
624C4—81no—
625C4—81no—
626C4C22×SD16×C15111yescharacteristic
627C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
628C4#576×C15111yescharacteristic
629C4#577×C15111yescharacteristic
630C2—42no—
631C2—42no—
632C2—81no—
633C2—161no—
634C2#3264×C15111yescharacteristic
635C2D4×SD16×C15111yescharacteristic
636C2#3289×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. Q8×D8×C151C2semidirect
2. #3298×C151C2semidirect
3. D4×SD16×C151C2semidirect
5. #1714×C151C2semidirect
6. #1693×C151C2semidirect
7. #1679×C151C2semidirect
8. #1666×C151C2semidirect
9. #1665×C151C2semidirect
10. #1654×C151C2semidirect
11. #1651×C151C2semidirect
12. #1639×C151C2semidirect
13. #1627×C151C2semidirect
14. #1583×C151C2semidirect
15. #1580×C151C2semidirect
19. D4×Q8×C151C22semidirect
23. #500×C151C22semidirect
24. #498×C151C22semidirect
27. #487×C151C22semidirect
30. #475×C151C22semidirect
34. #474×C151C22semidirect
48. C8×Q8×C151C22semidirect
54. C8×D4×C151C22semidirect
56. #334×C151C22semidirect
57. #334×C151C22semidirect
58. #332×C151C22semidirect
59. #332×C151C22semidirect
60. #332×C151C22semidirect
62. Q8⋊C8×C151C22semidirect
65. D4⋊C8×C151C22semidirect
66. #322×C151C22semidirect
188. D8×C151SD16semidirect
240. Q8×C151AGL(1,ℤ/8)semidirect
254. D4×C151C2×SD16semidirect
283. C8×C151C2×SD16semidirect
318. #19803C151direct (N × H)
319. C151#19803direct (N × H)
320. Q8×D8C2×C151semidirect
321. #3298C2×C151semidirect
322. D4×SD16C2×C151semidirect
324. #1714C2×C151semidirect
325. #1693C2×C151semidirect
326. #1679C2×C151semidirect
327. #1666C2×C151semidirect
328. #1665C2×C151semidirect
329. #1654C2×C151semidirect
330. #1651C2×C151semidirect
331. #1639C2×C151semidirect
332. #1627C2×C151semidirect
333. #1583C2×C151semidirect
334. #1580C2×C151semidirect
338. D4×Q8C22×C151semidirect
342. #500C22×C151semidirect
343. #498C22×C151semidirect
346. #487C22×C151semidirect
349. #475C22×C151semidirect
353. #474C22×C151semidirect
367. C8×Q8C22×C151semidirect
373. C8×D4C22×C151semidirect
375. #334C22×C151semidirect
376. #334C22×C151semidirect
377. #332C22×C151semidirect
378. #332C22×C151semidirect
379. #332C22×C151semidirect
381. Q8⋊C8C22×C151semidirect
384. D4⋊C8C22×C151semidirect
385. #322C22×C151semidirect
507. D8SD16×C151semidirect
559. Q8AGL(1,ℤ/8)×C151semidirect
573. D4C2×SD16×C151semidirect
602. C8C2×SD16×C151semidirect

Maximal subgroups

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

subgroupindex
Q8×D8×C1512
#3298×C1512
D4×SD16×C1512
#3272×C1512
#1714×C1512
#1693×C1512
#1679×C1512
#1666×C1512
#1665×C1512
#1654×C1512
#1651×C1512
#1639×C1512
#1627×C1512
#1583×C1512
#1580×C1512
#19803151