Finite Group Databasebeta

← C151×#19804 #50324729

Subgroups — C151×#19804 #50324729

Order 38656.

720 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×SD16×C151C211yesmaximal, characteristic, complemented
2#3362×C151C211yesmaximal, characteristic, complemented
3D4×SD16×C151C211yesmaximal, characteristic, complemented
4#3274×C151C211yesmaximal, characteristic
5#1715×C151C211yesmaximal, characteristic, complemented
6#1691×C151C211yesmaximal, characteristic, complemented
7#1677×C151C211yesmaximal, characteristic, complemented
8#1668×C151C211yesmaximal, characteristic, complemented
9#1666×C151C211yesmaximal, characteristic, complemented
10#1642×C151C211yesmaximal, characteristic, complemented
11#1629×C151C211yesmaximal, characteristic, complemented
12#1627×C151C211yesmaximal, characteristic, complemented
13#1623×C151C211yesmaximal, characteristic, complemented
14#1583×C151C211yesmaximal, characteristic, complemented
15SD16⋊C8×C151C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C151—21no—
17C22×SD16×C151—21no—
18Q82×C151C2211yescharacteristic, complemented
19#550×C151C2211yescharacteristic
20D4×Q8×C151C2211yescharacteristic
21D42×C151C2211yescharacteristic
22#498×C151—21no—
23#498×C151C2211yescharacteristic, complemented
24#493×C151C2211yescharacteristic
25#492×C151C2211yescharacteristic
26#492×C151C2211yescharacteristic
27#486×C151—21no—
28#486×C151C2211yescharacteristic, complemented
29#486×C151C2211yescharacteristic, complemented
30#476×C151—21no—
31#476×C151—21no—
32#476×C151C2211yescharacteristic
33#476×C151C2211yescharacteristic
34#475×C151—21no—
35#475×C151C2211yescharacteristic, complemented
36#469×C151—21no—
37#465×C151—21no—
38#461×C151C2211yescharacteristic
39#460×C151—21no—
40#460×C151C2211yescharacteristic
41#460×C151C2211yescharacteristic
42#460×C151C2211yescharacteristic, complemented
43#459×C151C2211yescharacteristic
44#450×C151—21no—
45#449×C151—21no—
46#448×C151—21no—
47#447×C151—21no—
48C8×Q8×C151C2211yescharacteristic, complemented
49C8×Q8×C151C2211yescharacteristic, complemented
50C4×SD16×C151—21no—
51C4×SD16×C151—21no—
52C4×SD16×C151C2211yescharacteristic
53C4×SD16×C151C2211yescharacteristic
54#436×C151C2211yescharacteristic
55C8×D4×C151C2211yescharacteristic
56#335×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
63Q8⋊C8×C151C2211yescharacteristic, complemented
64D4⋊C8×C151C2211yescharacteristic
65D4⋊C8×C151C2211yescharacteristic
66#322×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—41no—
79C2×SD16×C151—44no—
80C2×SD16×C151D411yescharacteristic
81C2×SD16×C151D411yescharacteristic
82C2×D8×C151—21no—
83C2×D8×C151—21no—
84C2×D8×C151—21no—
85C2×M16×C151—21no—
86C22×C8×C151—21no—
87C4⋊Q8×C151—21no—
88C4⋊Q8×C151—21no—
89C4⋊Q8×C151—21no—
90C4⋊Q8×C151—41no—
91C4⋊Q8×C151C2311yescharacteristic
92C4⋊Q8×C151C2311yescharacteristic
93#127×C151—21no—
94#127×C151C2311yescharacteristic
95#127×C151C2311yescharacteristic
96C22⋊Q8×C151—21no—
97C22⋊Q8×C151—41no—
98#121×C151—21no—
99#121×C151—21no—
100#121×C151—21no—
101#121×C151—41no—
102#120×C151—41no—
103C4×Q8×C151—21no—
104C4×Q8×C151—21no—
105C4×Q8×C151C2311yescharacteristic
106C4×Q8×C151C2311yescharacteristic
107C4×D4×C151—21no—
108C4×D4×C151—21no—
109C4×D4×C151C2311yescharacteristic
110C4×D4×C151C2311yescharacteristic
111#106×C151—21no—
112#106×C151—21no—
113#106×C151—21no—
114#106×C151—21no—
115#106×C151—21no—
116#106×C151D411yescharacteristic
117#106×C151D411yescharacteristic
118C4⋊C8×C151—21no—
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×C151D411yescharacteristic
127#103×C151D411yescharacteristic
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—21no—
136#102×C151—41no—
137#102×C151D411yescharacteristic
138#102×C151D411yescharacteristic
139C22⋊C8×C151—21no—
140C22⋊C8×C151—21no—
141C4×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—41no—
152C2×Q8×C151—41no—
153C2×Q8×C151—42no—
154C2×Q8×C151—81no—
155C2×Q8×C151C2×D411yescharacteristic
156C2×Q8×C151C2×D411yescharacteristic
157C2×D4×C151—21no—
158C2×D4×C151—21no—
159C2×D4×C151—21no—
160C2×D4×C151—21no—
161C2×D4×C151—21no—
162C2×D4×C151—21no—
163C2×D4×C151—41no—
164C2×D4×C151—41no—
165C2×D4×C151—41no—
166C2×D4×C151—41no—
167C2×D4×C151—42no—
168C2×D4×C151—42no—
169C2×D4×C151—81no—
170C2×D4×C151—81no—
171C2×D4×C151C2×D411yescharacteristic
172C2×D4×C151C2×D411yescharacteristic
173C22×C4×C151—21no—
174C22×C4×C151—21no—
175C22×C4×C151—41no—
176C22×C4×C151—41no—
177SD16×C151—22no—
178SD16×C151—42no—
179SD16×C151—42no—
180SD16×C151—42no—
181SD16×C151—42no—
182SD16×C151—42no—
183SD16×C151—81no—
184SD16×C151—82no—
185SD16×C151SD1614yescomplemented
186D8×C151—42no—
187D8×C151—42no—
188D8×C151—81no—
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×C151C2×D411yescharacteristic
197C2×C8×C151C2×D411yescharacteristic
198C2×C8×C151C2×D411yescharacteristic
199C2×C8×C151C2×D411yescharacteristic
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—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—41no—
216C22⋊C4×C151—41no—
217C22⋊C4×C151—41no—
218C42×C151—21no—
219C42×C151—21no—
220C42×C151—41no—
221C42×C151C2411yescharacteristic
222C23×C151—21no—
223C23×C151—21no—
224C23×C151—41no—
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—82no—
234Q8×C151—81no—
235Q8×C151—161no—
236Q8×C151C2×SD1612yescomplemented
237Q8×C151AGL(1,ℤ/8)12yescomplemented
238D4×C151—21no—
239D4×C151—21no—
240D4×C151—21no—
241D4×C151—41no—
242D4×C151—41no—
243D4×C151—41no—
244D4×C151—41no—
245D4×C151—41no—
246D4×C151—41no—
247D4×C151—41no—
248D4×C151—41no—
249D4×C151—82no—
250D4×C151—81no—
251D4×C151—81no—
252D4×C151—82no—
253D4×C151—82no—
254D4×C151—161no—
255D4×C151C2×SD1612yes—
256C2×C4×C151—21no—
257C2×C4×C151—21no—
258C2×C4×C151—21no—
259C2×C4×C151—21no—
260C2×C4×C151—21no—
261C2×C4×C151—21no—
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—82no—
269C2×C4×C151—82no—
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—41no—
277C8×C151—41no—
278C8×C151—41no—
279C8×C151—41no—
280C8×C151—41no—
281C8×C151C2×SD1612yescomplemented
282C22×C151—22no—
283C22×C151—41no—
284C22×C151—41no—
285C22×C151—41no—
286C22×C151—41no—
287C22×C151—41no—
288C22×C151—81no—
289C22×C151—81no—
290C22×C151—81no—
291C22×C151—81no—
292C22×C151—81no—
293C22×C151—81no—
294C22×C151—164no—
295C22×C151D4211yescharacteristic
296C4×C151—22no—
297C4×C151—22no—
298C4×C151—21no—
299C4×C151—41no—
300C4×C151—41no—
301C4×C151—41no—
302C4×C151—41no—
303C4×C151—81no—
304C4×C151—81no—
305C4×C151C22×SD1611yescharacteristic
306C4×C151C2×AGL(1,ℤ/8)11yescharacteristic
307C4×C151#57711yescharacteristic
308C4×C151#57711yescharacteristic
309C2×C151—42no—
310C2×C151—81no—
311C2×C151—161no—
312C2×C151—161no—
313C2×C151#326511yescharacteristic
314C2×C151D4×SD1611yescharacteristic
315C2×C151#328811yescharacteristic
316#19804C15111yesmaximal, characteristic, direct product factor, Sylow
317C151#1980411yescharacteristic, direct product factor, Sylow
318Q8×SD16C2×C15111yescharacteristic, complemented
319#3362C2×C15111yescharacteristic, complemented
320D4×SD16C2×C15111yescharacteristic, complemented
321#3274C2×C15111yescharacteristic
322#1715C2×C15111yescharacteristic, complemented
323#1691C2×C15111yescharacteristic, complemented
324#1677C2×C15111yescharacteristic, complemented
325#1668C2×C15111yescharacteristic, complemented
326#1666C2×C15111yescharacteristic, complemented
327#1642C2×C15111yescharacteristic, complemented
328#1629C2×C15111yescharacteristic, complemented
329#1627C2×C15111yescharacteristic, complemented
330#1623C2×C15111yescharacteristic, complemented
331#1583C2×C15111yescharacteristic, complemented
332SD16⋊C8C2×C15111yescharacteristic, complemented
333C2×AGL(1,ℤ/8)—21no—
334C22×SD16—21no—
335Q82C22×C15111yescharacteristic, complemented
336#550C22×C15111yescharacteristic
337D4×Q8C22×C15111yescharacteristic
338D42C22×C15111yescharacteristic
339#498—21no—
340#498C22×C15111yescharacteristic, complemented
341#493C22×C15111yescharacteristic
342#492C22×C15111yescharacteristic
343#492C22×C15111yescharacteristic
344#486—21no—
345#486C22×C15111yescharacteristic, complemented
346#486C22×C15111yescharacteristic, complemented
347#476—21no—
348#476—21no—
349#476C22×C15111yescharacteristic
350#476C22×C15111yescharacteristic
351#475—21no—
352#475C22×C15111yescharacteristic, complemented
353#469—21no—
354#465—21no—
355#461C22×C15111yescharacteristic
356#460—21no—
357#460C22×C15111yescharacteristic
358#460C22×C15111yescharacteristic
359#460C22×C15111yescharacteristic, complemented
360#459C22×C15111yescharacteristic
361#450—21no—
362#449—21no—
363#448—21no—
364#447—21no—
365C8×Q8C22×C15111yescharacteristic, complemented
366C8×Q8C22×C15111yescharacteristic, complemented
367C4×SD16—21no—
368C4×SD16—21no—
369C4×SD16C22×C15111yescharacteristic
370C4×SD16C22×C15111yescharacteristic
371#436C22×C15111yescharacteristic
372C8×D4C22×C15111yescharacteristic
373#335C22×C15111yescharacteristic, complemented
374#334C22×C15111yescharacteristic, complemented
375#333C22×C15111yescharacteristic, complemented
376#332C22×C15111yescharacteristic, complemented
377#331C22×C15111yescharacteristic
378#331C22×C15111yescharacteristic, complemented
379Q8⋊C8C22×C15111yescharacteristic, complemented
380Q8⋊C8C22×C15111yescharacteristic, complemented
381D4⋊C8C22×C15111yescharacteristic
382D4⋊C8C22×C15111yescharacteristic
383#322C22×C15111yescharacteristic, complemented
384C2×#41—21no—
385C22×Q8—21no—
386C22×D4—21no—
387C22×D4—21no—
388AGL(1,ℤ/8)—44no—
389C2×SD16—21no—
390C2×SD16—21no—
391C2×SD16—21no—
392C2×SD16—21no—
393C2×SD16—21no—
394C2×SD16—21no—
395C2×SD16—41no—
396C2×SD16—44no—
397C2×SD16D4×C15111yescharacteristic
398C2×SD16D4×C15111yescharacteristic
399C2×D8—21no—
400C2×D8—21no—
401C2×D8—21no—
402C2×M16—21no—
403C22×C8—21no—
404C4⋊Q8—21no—
405C4⋊Q8—21no—
406C4⋊Q8—21no—
407C4⋊Q8—41no—
408C4⋊Q8C23×C15111yescharacteristic
409C4⋊Q8C23×C15111yescharacteristic
410#127—21no—
411#127C23×C15111yescharacteristic
412#127C23×C15111yescharacteristic
413C22⋊Q8—21no—
414C22⋊Q8—41no—
415#121—21no—
416#121—21no—
417#121—21no—
418#121—41no—
419#120—41no—
420C4×Q8—21no—
421C4×Q8—21no—
422C4×Q8C23×C15111yescharacteristic
423C4×Q8C23×C15111yescharacteristic
424C4×D4—21no—
425C4×D4—21no—
426C4×D4C23×C15111yescharacteristic
427C4×D4C23×C15111yescharacteristic
428#106—21no—
429#106—21no—
430#106—21no—
431#106—21no—
432#106—21no—
433#106D4×C15111yescharacteristic
434#106D4×C15111yescharacteristic
435C4⋊C8—21no—
436C4⋊C8—21no—
437C4⋊C8C23×C15111yescharacteristic
438C4⋊C8C23×C15111yescharacteristic
439C4⋊C8C23×C15111yescharacteristic
440C4⋊C8C23×C15111yescharacteristic
441#103—21no—
442#103—21no—
443#103D4×C15111yescharacteristic
444#103D4×C15111yescharacteristic
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—41no—
454#102D4×C15111yescharacteristic
455#102D4×C15111yescharacteristic
456C22⋊C8—21no—
457C22⋊C8—21no—
458C4×C8—21no—
459C4×C8—21no—
460C4×C8C23×C15111yescharacteristic
461C4×C8C23×C15111yescharacteristic
462C4×C8C23×C15111yescharacteristic
463C24—41no—
464#41—42no—
465#41—81no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—41no—
469C2×Q8—41no—
470C2×Q8—42no—
471C2×Q8—81no—
472C2×Q8C2×D4×C15111yescharacteristic
473C2×Q8C2×D4×C15111yescharacteristic
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—41no—
483C2×D4—41no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4C2×D4×C15111yescharacteristic
489C2×D4C2×D4×C15111yescharacteristic
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—41no—
493C22×C4—41no—
494SD16—22no—
495SD16—42no—
496SD16—42no—
497SD16—42no—
498SD16—42no—
499SD16—42no—
500SD16—81no—
501SD16—82no—
502SD16SD16×C15114yescomplemented
503D8—42no—
504D8—42no—
505D8—81no—
506M16—42no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—42no—
513C2×C8C2×D4×C15111yescharacteristic
514C2×C8C2×D4×C15111yescharacteristic
515C2×C8C2×D4×C15111yescharacteristic
516C2×C8C2×D4×C15111yescharacteristic
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—41no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4C2×D4×C15111yescharacteristic
527C4⋊C4C2×D4×C15111yescharacteristic
528C4⋊C4C2×D4×C15111yescharacteristic
529C4⋊C4C2×D4×C15111yescharacteristic
530C22⋊C4—21no—
531C22⋊C4—21no—
532C22⋊C4—41no—
533C22⋊C4—41no—
534C22⋊C4—41no—
535C42—21no—
536C42—21no—
537C42—41no—
538C42C24×C15111yescharacteristic
539C23—21no—
540C23—21no—
541C23—41no—
542C23—41no—
543C23—82no—
544C23—82no—
545C23—161no—
546Q8—21no—
547Q8—21no—
548Q8—41no—
549Q8—41no—
550Q8—82no—
551Q8—81no—
552Q8—161no—
553Q8C2×SD16×C15112yescomplemented
554Q8AGL(1,ℤ/8)×C15112yescomplemented
555D4—21no—
556D4—21no—
557D4—21no—
558D4—41no—
559D4—41no—
560D4—41no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—82no—
567D4—81no—
568D4—81no—
569D4—82no—
570D4—82no—
571D4—161no—
572D4C2×SD16×C15112yes—
573C2×C4—21no—
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—82no—
586C2×C4—82no—
587C2×C4C22×D4×C15111yescharacteristic
588C2×C4C22×D4×C15111yescharacteristic
589C2×C4H(5,𝔽2)×C15111yescharacteristic
590C8—21no—
591C8—21no—
592C8—21no—
593C8—41no—
594C8—41no—
595C8—41no—
596C8—41no—
597C8—41no—
598C8C2×SD16×C15112yescomplemented
599C22—22no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—41no—
605C22—81no—
606C22—81no—
607C22—81no—
608C22—81no—
609C22—81no—
610C22—81no—
611C22—164no—
612C22D42×C15111yescharacteristic
613C4—22no—
614C4—22no—
615C4—21no—
616C4—41no—
617C4—41no—
618C4—41no—
619C4—41no—
620C4—81no—
621C4—81no—
622C4C22×SD16×C15111yescharacteristic
623C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
624C4#577×C15111yescharacteristic
625C4#577×C15111yescharacteristic
626C2—42no—
627C2—81no—
628C2—161no—
629C2—161no—
630C2#3265×C15111yescharacteristic
631C2D4×SD16×C15111yescharacteristic
632C2#3288×C15111yescharacteristic
subgroupG/H
center, socleC22×C151D42
commutator, Frattini, cosocleC42C24×C151
prime radical#3274×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×SD16×C151C2semidirect
2. #3362×C151C2semidirect
3. D4×SD16×C151C2semidirect
5. #1715×C151C2semidirect
6. #1691×C151C2semidirect
7. #1677×C151C2semidirect
8. #1668×C151C2semidirect
9. #1666×C151C2semidirect
10. #1642×C151C2semidirect
11. #1629×C151C2semidirect
12. #1627×C151C2semidirect
13. #1623×C151C2semidirect
14. #1583×C151C2semidirect
15. SD16⋊C8×C151C2semidirect
18. Q82×C151C22semidirect
23. #498×C151C22semidirect
28. #486×C151C22semidirect
29. #486×C151C22semidirect
35. #475×C151C22semidirect
42. #460×C151C22semidirect
48. C8×Q8×C151C22semidirect
49. C8×Q8×C151C22semidirect
56. #335×C151C22semidirect
57. #334×C151C22semidirect
58. #333×C151C22semidirect
59. #332×C151C22semidirect
61. #331×C151C22semidirect
62. Q8⋊C8×C151C22semidirect
63. Q8⋊C8×C151C22semidirect
66. #322×C151C22semidirect
185. SD16×C151SD16semidirect
236. Q8×C151C2×SD16semidirect
237. Q8×C151AGL(1,ℤ/8)semidirect
281. C8×C151C2×SD16semidirect
316. #19804C151direct (N × H)
317. C151#19804direct (N × H)
318. Q8×SD16C2×C151semidirect
319. #3362C2×C151semidirect
320. D4×SD16C2×C151semidirect
322. #1715C2×C151semidirect
323. #1691C2×C151semidirect
324. #1677C2×C151semidirect
325. #1668C2×C151semidirect
326. #1666C2×C151semidirect
327. #1642C2×C151semidirect
328. #1629C2×C151semidirect
329. #1627C2×C151semidirect
330. #1623C2×C151semidirect
331. #1583C2×C151semidirect
332. SD16⋊C8C2×C151semidirect
335. Q82C22×C151semidirect
340. #498C22×C151semidirect
345. #486C22×C151semidirect
346. #486C22×C151semidirect
352. #475C22×C151semidirect
359. #460C22×C151semidirect
365. C8×Q8C22×C151semidirect
366. C8×Q8C22×C151semidirect
373. #335C22×C151semidirect
374. #334C22×C151semidirect
375. #333C22×C151semidirect
376. #332C22×C151semidirect
378. #331C22×C151semidirect
379. Q8⋊C8C22×C151semidirect
380. Q8⋊C8C22×C151semidirect
383. #322C22×C151semidirect
502. SD16SD16×C151semidirect
553. Q8C2×SD16×C151semidirect
554. Q8AGL(1,ℤ/8)×C151semidirect
598. C8C2×SD16×C151semidirect

Maximal subgroups

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

subgroupindex
Q8×SD16×C1512
#3362×C1512
D4×SD16×C1512
#3274×C1512
#1715×C1512
#1691×C1512
#1677×C1512
#1668×C1512
#1666×C1512
#1642×C1512
#1629×C1512
#1627×C1512
#1623×C1512
#1583×C1512
SD16⋊C8×C1512
#19804151