Finite Group Databasebeta

← C151×#24412 #50329337

Subgroups — C151×#24412 #50329337

Order 38656.

1710 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3484×C151C211yesmaximal, characteristic, complemented
2#3055×C151C212yesmaximal, complemented
3C2×#453×C151C211yesmaximal, characteristic, complemented
4C22×#100×C151C211yesmaximal, characteristic, complemented
5#2433×C151C211yesmaximal, characteristic, complemented
6#2037×C151C212yesmaximal, complemented
7#2002×C151C212yesmaximal, complemented
8#1887×C151C211yesmaximal, characteristic, complemented
9#1871×C151C212yesmaximal, complemented
10#1856×C151C211yesmaximal, characteristic, complemented
11#1792×C151C211yesmaximal, characteristic, complemented
12C2×H(5,𝔽2)×C151C2211yescharacteristic
13C23×D4×C151C2211yescharacteristic
14C2×AGL(1,ℤ/8)×C151C2212yescomplemented
15C22×M16×C151C2212yescomplemented
16#546×C151—22no—
17#546×C151—22no—
18D42×C151—22no—
19D42×C151—22no—
20#535×C151C2212yes—
21#534×C151—22no—
22C2×#127×C151C2211yescharacteristic
23C2×#127×C151C2211yescharacteristic, complemented
24#525×C151C2212yes—
25C2×#121×C151C2211yescharacteristic, complemented
26C2×#120×C151—22no—
27C2×#120×C151—22no—
28#518×C151C2211yescharacteristic
29#469×C151—22no—
30#468×C151—22no—
31#466×C151—22no—
32#465×C151—22no—
33#453×C151—24no—
34#428×C151C2212yescomplemented
35C2×#104×C151C2212yescomplemented
36C2×#104×C151C2212yescomplemented
37#418×C151C2212yescomplemented
38#417×C151C2212yescomplemented
39C2×#100×C151—24no—
40C2×#100×C151C2211yescharacteristic
41C2×#100×C151C2211yescharacteristic
42C2×#100×C151C2212yescomplemented
43#392×C151—22no—
44#390×C151C2211yescharacteristic
45#390×C151C2211yescharacteristic, complemented
46C4×C22⋊C4×C151C2211yescharacteristic, complemented
47#339×C151C2212yescomplemented
48#339×C151C2212yescomplemented
49C25×C151D412yes—
50H(5,𝔽2)×C151—22no—
51H(5,𝔽2)×C151—22no—
52H(5,𝔽2)×C151—42no—
53C2×#41×C151—22no—
54C2×#41×C151C2312yes—
55C22×D4×C151—22no—
56C22×D4×C151—22no—
57C22×D4×C151—22no—
58C22×D4×C151—22no—
59C22×D4×C151—22no—
60C22×D4×C151—22no—
61C22×D4×C151—22no—
62C22×D4×C151—22no—
63C22×D4×C151—21no—
64C22×D4×C151—22no—
65C22×D4×C151—22no—
66C22×D4×C151—42no—
67C22×D4×C151D412yes—
68C22×D4×C151C2311yescharacteristic
69C22×D4×C151C2311yescharacteristic
70C22×D4×C151C2311yescharacteristic
71C23×C4×C151C2311yescharacteristic
72AGL(1,ℤ/8)×C151—24no—
73AGL(1,ℤ/8)×C151—42no—
74C2×SD16×C151—22no—
75C2×D8×C151—22no—
76C2×M16×C151—22no—
77C2×M16×C151—24no—
78C2×M16×C151—42no—
79C2×M16×C151C2312yes—
80C2×M16×C151C2312yes—
81C22×C8×C151—22no—
82#127×C151—22no—
83#127×C151—22no—
84#127×C151—22no—
85#127×C151—42no—
86#124×C151—22no—
87#123×C151—24no—
88#123×C151—22no—
89C22⋊Q8×C151D412yescomplemented
90C22⋊Q8×C151D412yescomplemented
91#121×C151—24no—
92#121×C151—24no—
93#121×C151—22no—
94#121×C151—22no—
95#121×C151—22no—
96#121×C151—22no—
97#121×C151D412yescomplemented
98#121×C151D412yescomplemented
99#120×C151—24no—
100#120×C151—24no—
101#120×C151—24no—
102#120×C151—22no—
103#120×C151—24no—
104#120×C151—48no—
105C4×D4×C151—22no—
106C4×D4×C151—22no—
107C4×D4×C151—22no—
108C4×D4×C151—22no—
109#117×C151C2312yes—
110C2×C4⋊C4×C151C2311yescharacteristic
111C2×C22⋊C4×C151—22no—
112C2×C22⋊C4×C151—22no—
113C2×C22⋊C4×C151—21no—
114C2×C22⋊C4×C151—21no—
115C2×C22⋊C4×C151—22no—
116C2×C22⋊C4×C151—22no—
117C2×C22⋊C4×C151—22no—
118C2×C42×C151C2311yescharacteristic
119C2×C42×C151C2311yescharacteristic
120#107×C151—22no—
121#106×C151—22no—
122#104×C151—24no—
123#104×C151—42no—
124#103×C151—22no—
125#102×C151—22no—
126#102×C151—22no—
127#102×C151—22no—
128#100×C151—22no—
129#100×C151—24no—
130#100×C151D414yescomplemented
131#95×C151—21no—
132C24×C151—22no—
133C24×C151—22no—
134C24×C151—22no—
135C24×C151—24no—
136C24×C151—21no—
137C24×C151—42no—
138C24×C151—44no—
139C24×C151—82no—
140C24×C151C2×D411yescharacteristic
141C24×C151C2×D412yes—
142C24×C151C2×D412yes—
143#41×C151—22no—
144#41×C151—22no—
145#41×C151—22no—
146#41×C151—22no—
147#41×C151—44no—
148#41×C151—44no—
149C2×Q8×C151C2×D412yes—
150C2×D4×C151—24no—
151C2×D4×C151—22no—
152C2×D4×C151—22no—
153C2×D4×C151—24no—
154C2×D4×C151—22no—
155C2×D4×C151—24no—
156C2×D4×C151—24no—
157C2×D4×C151—24no—
158C2×D4×C151—22no—
159C2×D4×C151—21no—
160C2×D4×C151—22no—
161C2×D4×C151—22no—
162C2×D4×C151—21no—
163C2×D4×C151—21no—
164C2×D4×C151—21no—
165C2×D4×C151—22no—
166C2×D4×C151—22no—
167C2×D4×C151—22no—
168C2×D4×C151—44no—
169C2×D4×C151—44no—
170C2×D4×C151—44no—
171C2×D4×C151—44no—
172C2×D4×C151—42no—
173C2×D4×C151—44no—
174C2×D4×C151—44no—
175C2×D4×C151—44no—
176C2×D4×C151—44no—
177C2×D4×C151—44no—
178C2×D4×C151—44no—
179C2×D4×C151—44no—
180C2×D4×C151—44no—
181C2×D4×C151—41no—
182C2×D4×C151—41no—
183C2×D4×C151—44no—
184C2×D4×C151—82no—
185C2×D4×C151—82no—
186C2×D4×C151—84no—
187C2×D4×C151—84no—
188C2×D4×C151C2×D412yes—
189C2×D4×C151C2×D412yes—
190C2×D4×C151#4112yes—
191C22×C4×C151—21no—
192C22×C4×C151—21no—
193C22×C4×C151—22no—
194C22×C4×C151—22no—
195C22×C4×C151—21no—
196C22×C4×C151—21no—
197C22×C4×C151—22no—
198C22×C4×C151—22no—
199C22×C4×C151—22no—
200C22×C4×C151—21no—
201C22×C4×C151C2×D411yescharacteristic
202C22×C4×C151C2×D412yes—
203C22×C4×C151C2×D412yes—
204C22×C4×C151C2411yescharacteristic
205SD16×C151—44no—
206D8×C151—44no—
207M16×C151—22no—
208M16×C151—22no—
209M16×C151—22no—
210M16×C151—44no—
211M16×C151C2×D414yescomplemented
212C2×C8×C151—22no—
213C2×C8×C151—22no—
214C2×C8×C151—44no—
215C4⋊C4×C151—22no—
216C4⋊C4×C151—22no—
217C4⋊C4×C151—22no—
218C4⋊C4×C151C2×D412yes—
219C4⋊C4×C151C2×D412yes—
220C22⋊C4×C151—24no—
221C22⋊C4×C151—24no—
222C22⋊C4×C151—24no—
223C22⋊C4×C151—24no—
224C22⋊C4×C151—22no—
225C22⋊C4×C151—22no—
226C22⋊C4×C151—22no—
227C22⋊C4×C151—22no—
228C22⋊C4×C151—22no—
229C22⋊C4×C151—44no—
230C22⋊C4×C151—44no—
231C22⋊C4×C151—42no—
232C42×C151—22no—
233C42×C151—21no—
234C42×C151—21no—
235C42×C151—22no—
236C23×C151—22no—
237C23×C151—21no—
238C23×C151—21no—
239C23×C151—22no—
240C23×C151—22no—
241C23×C151—22no—
242C23×C151—22no—
243C23×C151—22no—
244C23×C151—22no—
245C23×C151—41no—
246C23×C151—44no—
247C23×C151—44no—
248C23×C151—42no—
249C23×C151—42no—
250C23×C151—42no—
251C23×C151—42no—
252C23×C151—44no—
253C23×C151—44no—
254C23×C151—42no—
255C23×C151—42no—
256C23×C151—44no—
257C23×C151—41no—
258C23×C151—41no—
259C23×C151—41no—
260C23×C151—82no—
261C23×C151—82no—
262C23×C151—82no—
263C23×C151—82no—
264C23×C151—88no—
265C23×C151—88no—
266C23×C151#12011yescharacteristic
267C23×C151#12011yescharacteristic
268C23×C151#12114yes—
269C23×C151C22×D411yescharacteristic
270Q8×C151—22no—
271Q8×C151—22no—
272D4×C151—24no—
273D4×C151—22no—
274D4×C151—24no—
275D4×C151—22no—
276D4×C151—48no—
277D4×C151—48no—
278D4×C151—44no—
279D4×C151—42no—
280D4×C151—42no—
281D4×C151—44no—
282D4×C151—42no—
283D4×C151—42no—
284D4×C151—42no—
285D4×C151—42no—
286D4×C151—84no—
287D4×C151—84no—
288D4×C151—88no—
289D4×C151—88no—
290D4×C151—82no—
291D4×C151—82no—
292C2×C4×C151—21no—
293C2×C4×C151—21no—
294C2×C4×C151—22no—
295C2×C4×C151—22no—
296C2×C4×C151—22no—
297C2×C4×C151—22no—
298C2×C4×C151—22no—
299C2×C4×C151—22no—
300C2×C4×C151—22no—
301C2×C4×C151—22no—
302C2×C4×C151—22no—
303C2×C4×C151—44no—
304C2×C4×C151—41no—
305C2×C4×C151—41no—
306C2×C4×C151—41no—
307C2×C4×C151—41no—
308C2×C4×C151—42no—
309C2×C4×C151—42no—
310C2×C4×C151—42no—
311C2×C4×C151—41no—
312C2×C4×C151—82no—
313C2×C4×C151—82no—
314C2×C4×C151#12012yes—
315C2×C4×C151C22×D411yescharacteristic
316C2×C4×C151C22×D412yes—
317C2×C4×C151C2×#4111yescharacteristic
318C2×C4×C151H(5,𝔽2)12yes—
319C8×C151—24no—
320C8×C151—42no—
321C22×C151—21no—
322C22×C151—21no—
323C22×C151—21no—
324C22×C151—21no—
325C22×C151—21no—
326C22×C151—24no—
327C22×C151—21no—
328C22×C151—21no—
329C22×C151—42no—
330C22×C151—42no—
331C22×C151—44no—
332C22×C151—44no—
333C22×C151—42no—
334C22×C151—42no—
335C22×C151—42no—
336C22×C151—42no—
337C22×C151—42no—
338C22×C151—42no—
339C22×C151—42no—
340C22×C151—42no—
341C22×C151—82no—
342C22×C151—88no—
343C22×C151—82no—
344C22×C151—82no—
345C22×C151—82no—
346C22×C151—88no—
347C22×C151—81no—
348C22×C151—81no—
349C22×C151—81no—
350C22×C151—164no—
351C22×C151#45312yescomplemented
352C22×C151C2×#12011yescharacteristic
353C22×C151C2×#12111yescharacteristic
354C22×C151#53411yescharacteristic
355C4×C151—22no—
356C4×C151—42no—
357C4×C151—42no—
358C4×C151—42no—
359C4×C151—42no—
360C4×C151—42no—
361C4×C151—81no—
362C4×C151D4212yes—
363C4×C151#54612yes—
364C2×C151—21no—
365C2×C151—21no—
366C2×C151—22no—
367C2×C151—41no—
368C2×C151—44no—
369C2×C151—82no—
370C2×C151—82no—
371C2×C151—161no—
372C2×C151#241011yescharacteristic
373C2×C151C2×#45311yescharacteristic
374C2×C151#301911yescharacteristic
375#24412C15111yesmaximal, characteristic, direct product factor, Sylow
376C151#2441211yescharacteristic, direct product factor, Sylow
377#3484C2×C15111yescharacteristic, complemented
378#3055C2×C15112yescomplemented
379C2×#453C2×C15111yescharacteristic, complemented
380C22×#100C2×C15111yescharacteristic, complemented
381#2433C2×C15111yescharacteristic, complemented
382#2037C2×C15112yescomplemented
383#2002C2×C15112yescomplemented
384#1887C2×C15111yescharacteristic, complemented
385#1871C2×C15112yescomplemented
386#1856C2×C15111yescharacteristic, complemented
387#1792C2×C15111yescharacteristic, complemented
388C2×H(5,𝔽2)C22×C15111yescharacteristic
389C23×D4C22×C15111yescharacteristic
390C2×AGL(1,ℤ/8)C22×C15112yescomplemented
391C22×M16C22×C15112yescomplemented
392#546—22no—
393#546—22no—
394D42—22no—
395D42—22no—
396#535C22×C15112yes—
397#534—22no—
398C2×#127C22×C15111yescharacteristic
399C2×#127C22×C15111yescharacteristic, complemented
400#525C22×C15112yes—
401C2×#121C22×C15111yescharacteristic, complemented
402C2×#120—22no—
403C2×#120—22no—
404#518C22×C15111yescharacteristic
405#469—22no—
406#468—22no—
407#466—22no—
408#465—22no—
409#453—24no—
410#428C22×C15112yescomplemented
411C2×#104C22×C15112yescomplemented
412C2×#104C22×C15112yescomplemented
413#418C22×C15112yescomplemented
414#417C22×C15112yescomplemented
415C2×#100—24no—
416C2×#100C22×C15111yescharacteristic
417C2×#100C22×C15111yescharacteristic
418C2×#100C22×C15112yescomplemented
419#392—22no—
420#390C22×C15111yescharacteristic
421#390C22×C15111yescharacteristic, complemented
422C4×C22⋊C4C22×C15111yescharacteristic, complemented
423#339C22×C15112yescomplemented
424#339C22×C15112yescomplemented
425C25D4×C15112yes—
426H(5,𝔽2)—22no—
427H(5,𝔽2)—22no—
428H(5,𝔽2)—42no—
429C2×#41—22no—
430C2×#41C23×C15112yes—
431C22×D4—22no—
432C22×D4—22no—
433C22×D4—22no—
434C22×D4—22no—
435C22×D4—22no—
436C22×D4—22no—
437C22×D4—21no—
438C22×D4—22no—
439C22×D4—22no—
440C22×D4—22no—
441C22×D4—22no—
442C22×D4—42no—
443C22×D4D4×C15112yes—
444C22×D4C23×C15111yescharacteristic
445C22×D4C23×C15111yescharacteristic
446C22×D4C23×C15111yescharacteristic
447C23×C4C23×C15111yescharacteristic
448AGL(1,ℤ/8)—24no—
449AGL(1,ℤ/8)—42no—
450C2×SD16—22no—
451C2×D8—22no—
452C2×M16—22no—
453C2×M16—24no—
454C2×M16—42no—
455C2×M16C23×C15112yes—
456C2×M16C23×C15112yes—
457C22×C8—22no—
458#127—22no—
459#127—22no—
460#127—22no—
461#127—42no—
462#124—22no—
463#123—24no—
464#123—22no—
465C22⋊Q8D4×C15112yescomplemented
466C22⋊Q8D4×C15112yescomplemented
467#121—24no—
468#121—24no—
469#121—22no—
470#121—22no—
471#121—22no—
472#121—22no—
473#121D4×C15112yescomplemented
474#121D4×C15112yescomplemented
475#120—24no—
476#120—24no—
477#120—24no—
478#120—22no—
479#120—24no—
480#120—48no—
481C4×D4—22no—
482C4×D4—22no—
483C4×D4—22no—
484C4×D4—22no—
485#117C23×C15112yes—
486C2×C4⋊C4C23×C15111yescharacteristic
487C2×C22⋊C4—22no—
488C2×C22⋊C4—22no—
489C2×C22⋊C4—22no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—22no—
492C2×C22⋊C4—22no—
493C2×C22⋊C4—21no—
494C2×C42C23×C15111yescharacteristic
495C2×C42C23×C15111yescharacteristic
496#107—22no—
497#106—22no—
498#104—24no—
499#104—42no—
500#103—22no—
501#102—22no—
502#102—22no—
503#102—22no—
504#100—22no—
505#100—24no—
506#100D4×C15114yescomplemented
507#95—21no—
508C24—22no—
509C24—22no—
510C24—22no—
511C24—24no—
512C24—21no—
513C24—42no—
514C24—44no—
515C24—82no—
516C24C2×D4×C15111yescharacteristic
517C24C2×D4×C15112yes—
518C24C2×D4×C15112yes—
519#41—22no—
520#41—22no—
521#41—22no—
522#41—22no—
523#41—44no—
524#41—44no—
525C2×Q8C2×D4×C15112yes—
526C2×D4—24no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—24no—
530C2×D4—22no—
531C2×D4—24no—
532C2×D4—24no—
533C2×D4—24no—
534C2×D4—22no—
535C2×D4—21no—
536C2×D4—22no—
537C2×D4—22no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—44no—
545C2×D4—44no—
546C2×D4—44no—
547C2×D4—44no—
548C2×D4—42no—
549C2×D4—44no—
550C2×D4—44no—
551C2×D4—44no—
552C2×D4—44no—
553C2×D4—44no—
554C2×D4—44no—
555C2×D4—44no—
556C2×D4—44no—
557C2×D4—41no—
558C2×D4—41no—
559C2×D4—44no—
560C2×D4—82no—
561C2×D4—82no—
562C2×D4—84no—
563C2×D4—84no—
564C2×D4C2×D4×C15112yes—
565C2×D4C2×D4×C15112yes—
566C2×D4#41×C15112yes—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—22no—
570C22×C4—22no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—21no—
577C22×C4C2×D4×C15111yescharacteristic
578C22×C4C2×D4×C15112yes—
579C22×C4C2×D4×C15112yes—
580C22×C4C24×C15111yescharacteristic
581SD16—44no—
582D8—44no—
583M16—22no—
584M16—22no—
585M16—22no—
586M16—44no—
587M16C2×D4×C15114yescomplemented
588C2×C8—22no—
589C2×C8—22no—
590C2×C8—44no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4C2×D4×C15112yes—
595C4⋊C4C2×D4×C15112yes—
596C22⋊C4—24no—
597C22⋊C4—24no—
598C22⋊C4—24no—
599C22⋊C4—24no—
600C22⋊C4—22no—
601C22⋊C4—22no—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—44no—
606C22⋊C4—44no—
607C22⋊C4—42no—
608C42—22no—
609C42—21no—
610C42—21no—
611C42—22no—
612C23—22no—
613C23—22no—
614C23—21no—
615C23—21no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—41no—
622C23—44no—
623C23—44no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—44no—
629C23—44no—
630C23—42no—
631C23—42no—
632C23—44no—
633C23—41no—
634C23—41no—
635C23—41no—
636C23—82no—
637C23—82no—
638C23—82no—
639C23—82no—
640C23—88no—
641C23—88no—
642C23#120×C15111yescharacteristic
643C23#120×C15111yescharacteristic
644C23#121×C15114yes—
645C23C22×D4×C15111yescharacteristic
646Q8—22no—
647Q8—22no—
648D4—24no—
649D4—22no—
650D4—24no—
651D4—22no—
652D4—48no—
653D4—48no—
654D4—44no—
655D4—44no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—42no—
661D4—42no—
662D4—84no—
663D4—84no—
664D4—88no—
665D4—88no—
666D4—82no—
667D4—82no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—44no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—82no—
689C2×C4—82no—
690C2×C4#120×C15112yes—
691C2×C4C22×D4×C15111yescharacteristic
692C2×C4C22×D4×C15112yes—
693C2×C4C2×#41×C15111yescharacteristic
694C2×C4H(5,𝔽2)×C15112yes—
695C8—24no—
696C8—42no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—21no—
702C22—24no—
703C22—21no—
704C22—21no—
705C22—42no—
706C22—42no—
707C22—44no—
708C22—44no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—82no—
718C22—88no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—88no—
723C22—81no—
724C22—81no—
725C22—81no—
726C22—164no—
727C22#453×C15112yescomplemented
728C22C2×#120×C15111yescharacteristic
729C22C2×#121×C15111yescharacteristic
730C22#534×C15111yescharacteristic
731C4—22no—
732C4—42no—
733C4—42no—
734C4—42no—
735C4—42no—
736C4—42no—
737C4—81no—
738C4D42×C15112yes—
739C4#546×C15112yes—
740C2—21no—
741C2—21no—
742C2—22no—
743C2—41no—
744C2—44no—
745C2—82no—
746C2—82no—
747C2—161no—
748C2#2410×C15111yescharacteristic
749C2C2×#453×C15111yescharacteristic
750C2#3019×C15111yescharacteristic
subgroupG/H
center, socleC22×C151C2×#120
commutator, Frattini, cosocleC22×C4C24×C151
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C151 ◁ C23×C4×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3484×C151C2semidirect
2. #3055×C151C2semidirect
3. C2×#453×C151C2semidirect
4. C22×#100×C151C2semidirect
5. #2433×C151C2semidirect
6. #2037×C151C2semidirect
7. #2002×C151C2semidirect
8. #1887×C151C2semidirect
9. #1871×C151C2semidirect
10. #1856×C151C2semidirect
11. #1792×C151C2semidirect
14. C2×AGL(1,ℤ/8)×C151C22semidirect
15. C22×M16×C151C22semidirect
23. C2×#127×C151C22semidirect
25. C2×#121×C151C22semidirect
34. #428×C151C22semidirect
35. C2×#104×C151C22semidirect
36. C2×#104×C151C22semidirect
37. #418×C151C22semidirect
38. #417×C151C22semidirect
42. C2×#100×C151C22semidirect
45. #390×C151C22semidirect
46. C4×C22⋊C4×C151C22semidirect
47. #339×C151C22semidirect
48. #339×C151C22semidirect
89. C22⋊Q8×C151D4semidirect
90. C22⋊Q8×C151D4semidirect
97. #121×C151D4semidirect
98. #121×C151D4semidirect
130. #100×C151D4semidirect
211. M16×C151C2×D4semidirect
351. C22×C151#453semidirect
375. #24412C151direct (N × H)
376. C151#24412direct (N × H)
377. #3484C2×C151semidirect
378. #3055C2×C151semidirect
379. C2×#453C2×C151semidirect
380. C22×#100C2×C151semidirect
381. #2433C2×C151semidirect
382. #2037C2×C151semidirect
383. #2002C2×C151semidirect
384. #1887C2×C151semidirect
385. #1871C2×C151semidirect
386. #1856C2×C151semidirect
387. #1792C2×C151semidirect
390. C2×AGL(1,ℤ/8)C22×C151semidirect
391. C22×M16C22×C151semidirect
399. C2×#127C22×C151semidirect
401. C2×#121C22×C151semidirect
410. #428C22×C151semidirect
411. C2×#104C22×C151semidirect
412. C2×#104C22×C151semidirect
413. #418C22×C151semidirect
414. #417C22×C151semidirect
418. C2×#100C22×C151semidirect
421. #390C22×C151semidirect
422. C4×C22⋊C4C22×C151semidirect
423. #339C22×C151semidirect
424. #339C22×C151semidirect
465. C22⋊Q8D4×C151semidirect
466. C22⋊Q8D4×C151semidirect
473. #121D4×C151semidirect
474. #121D4×C151semidirect
506. #100D4×C151semidirect
587. M16C2×D4×C151semidirect
727. C22#453×C151semidirect

Maximal subgroups

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

subgroupindex
#3484×C1512
#3055×C1512
C2×#453×C1512
C22×#100×C1512
#2433×C1512
#2037×C1512
#2002×C1512
#1887×C1512
#1871×C1512
#1856×C1512
#1792×C1512
#24412151