Finite Group Databasebeta

← C151×#24260 #50329185

Subgroups — C151×#24260 #50329185

Order 38656.

1918 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3496×C151C211yesmaximal, characteristic, complemented
2C2×B(4,𝔽2)×C151C212yesmaximal, complemented
3#2847×C151C212yesmaximal, complemented
4C4×#120×C151C211yesmaximal, characteristic, complemented
5#2044×C151C212yesmaximal, complemented
6#2021×C151C212yesmaximal, complemented
7#1964×C151C212yesmaximal, complemented
8#1799×C151C211yesmaximal, characteristic, complemented
9#1790×C151C212yesmaximal, complemented
10C2×H(5,𝔽2)×C151C2212yes—
11C24×C4×C151C2211yescharacteristic, complemented
12#547×C151—22no—
13#546×C151—24no—
14D42×C151—22no—
15#537×C151—21no—
16#534×C151—21no—
17#534×C151C2212yes—
18#532×C151—21no—
19C2×#121×C151—21no—
20C2×#121×C151—22no—
21C2×#121×C151C2212yes—
22C2×#120×C151C2211yescharacteristic
23C2×#120×C151C2214yescomplemented
24C2×C4×D4×C151—21no—
25C2×C4×D4×C151C2211yescharacteristic
26B(4,𝔽2)×C151—28no—
27C2×#99×C151C2212yes—
28C2×#99×C151C2214yescomplemented
29C2×#99×C151C2214yescomplemented
30#386×C151—24no—
31#386×C151—21no—
32#386×C151C2211yescharacteristic
33#386×C151C2214yescomplemented
34#385×C151—21no—
35#385×C151C2211yescharacteristic, complemented
36#380×C151—22no—
37#380×C151C2212yescomplemented
38#379×C151C2211yescharacteristic, complemented
39C4×C22⋊C4×C151—21no—
40C4×C22⋊C4×C151C2211yescharacteristic, complemented
41#342×C151C2212yescomplemented
42C25×C151C2311yescharacteristic
43H(5,𝔽2)×C151—24no—
44H(5,𝔽2)×C151—24no—
45H(5,𝔽2)×C151—44no—
46C2×#41×C151—22no—
47C2×#41×C151—24no—
48C22×D4×C151—21no—
49C22×D4×C151—21no—
50C22×D4×C151—22no—
51C22×D4×C151—24no—
52C22×D4×C151—24no—
53C22×D4×C151D412yescomplemented
54C22×D4×C151C2314yes—
55C22×D4×C151C2311yescharacteristic
56C23×C4×C151—21no—
57C23×C4×C151—22no—
58C23×C4×C151—21no—
59C23×C4×C151—22no—
60C23×C4×C151—44no—
61C23×C4×C151D411yescharacteristic, complemented
62C23×C4×C151C2311yescharacteristic
63C23×C4×C151C2311yescharacteristic
64C4⋊Q8×C151—21no—
65#127×C151—21no—
66#124×C151—22no—
67#123×C151—24no—
68#123×C151—24no—
69C22⋊Q8×C151—24no—
70#121×C151—22no—
71#121×C151—22no—
72#121×C151—24no—
73#121×C151—22no—
74#121×C151—22no—
75#121×C151—22no—
76#121×C151—22no—
77#121×C151—22no—
78#121×C151—22no—
79#121×C151—48no—
80#120×C151—24no—
81#120×C151—22no—
82#120×C151—24no—
83#120×C151—28no—
84#120×C151—44no—
85#120×C151D414yescomplemented
86C4×D4×C151—22no—
87C4×D4×C151—22no—
88C4×D4×C151—22no—
89C4×D4×C151—22no—
90C4×D4×C151—44no—
91C2×C4⋊C4×C151—21no—
92C2×C4⋊C4×C151—22no—
93C2×C4⋊C4×C151—21no—
94C2×C4⋊C4×C151D412yescomplemented
95C2×C4⋊C4×C151D411yescharacteristic, complemented
96C2×C22⋊C4×C151—22no—
97C2×C22⋊C4×C151—21no—
98C2×C22⋊C4×C151—21no—
99C2×C22⋊C4×C151—21no—
100C2×C22⋊C4×C151—24no—
101C2×C22⋊C4×C151—21no—
102C2×C22⋊C4×C151—24no—
103C2×C22⋊C4×C151D411yescharacteristic, complemented
104C2×C22⋊C4×C151D414yescomplemented
105C2×C22⋊C4×C151C2314yes—
106C2×C22⋊C4×C151C2311yescharacteristic
107C2×C22⋊C4×C151C2311yescharacteristic
108C2×C22⋊C4×C151C2311yescharacteristic
109C2×C42×C151—21no—
110C2×C42×C151D411yescharacteristic, complemented
111#99×C151—24no—
112#99×C151—28no—
113#99×C151—44no—
114#95×C151—21no—
115#95×C151—21no—
116#95×C151—21no—
117#95×C151—24no—
118#95×C151—22no—
119C24×C151—21no—
120C24×C151—22no—
121C24×C151—22no—
122C24×C151—21no—
123C24×C151—22no—
124C24×C151—42no—
125C24×C151—42no—
126C24×C151C2×D414yes—
127C24×C151C2×D411yescharacteristic
128C24×C151C2×D412yescomplemented
129C24×C151C2411yescharacteristic
130#41×C151—48no—
131#41×C151—48no—
132#41×C151—44no—
133#41×C151—44no—
134C2×Q8×C151—22no—
135C2×D4×C151—22no—
136C2×D4×C151—22no—
137C2×D4×C151—24no—
138C2×D4×C151—22no—
139C2×D4×C151—24no—
140C2×D4×C151—24no—
141C2×D4×C151—24no—
142C2×D4×C151—24no—
143C2×D4×C151—24no—
144C2×D4×C151—24no—
145C2×D4×C151—24no—
146C2×D4×C151—22no—
147C2×D4×C151—22no—
148C2×D4×C151—22no—
149C2×D4×C151—22no—
150C2×D4×C151—44no—
151C2×D4×C151—48no—
152C2×D4×C151—48no—
153C2×D4×C151—42no—
154C2×D4×C151—42no—
155C2×D4×C151—44no—
156C2×D4×C151—44no—
157C2×D4×C151—48no—
158C2×D4×C151—48no—
159C2×D4×C151—48no—
160C2×D4×C151—82no—
161C2×D4×C151C2×D412yes—
162C2×D4×C151#4112yes—
163C22×C4×C151—22no—
164C22×C4×C151—24no—
165C22×C4×C151—24no—
166C22×C4×C151—28no—
167C22×C4×C151—21no—
168C22×C4×C151—22no—
169C22×C4×C151—21no—
170C22×C4×C151—21no—
171C22×C4×C151—21no—
172C22×C4×C151—21no—
173C22×C4×C151—24no—
174C22×C4×C151—42no—
175C22×C4×C151—42no—
176C22×C4×C151—42no—
177C22×C4×C151—44no—
178C22×C4×C151—44no—
179C22×C4×C151—42no—
180C22×C4×C151—42no—
181C22×C4×C151—42no—
182C22×C4×C151—44no—
183C22×C4×C151—41no—
184C22×C4×C151—42no—
185C22×C4×C151—41no—
186C22×C4×C151C2×D414yes—
187C22×C4×C151C2×D411yescharacteristic
188C22×C4×C151C2×D412yes—
189C22×C4×C151C2×D411yescharacteristic
190C22×C4×C151C2×D411yescharacteristic
191C22×C4×C151C2×D411yescharacteristic
192C22×C4×C151C2×D412yes—
193C22×C4×C151C2×D411yescharacteristic
194C4⋊C4×C151—22no—
195C4⋊C4×C151—22no—
196C4⋊C4×C151—22no—
197C4⋊C4×C151—22no—
198C4⋊C4×C151—22no—
199C4⋊C4×C151—42no—
200C4⋊C4×C151—44no—
201C22⋊C4×C151—24no—
202C22⋊C4×C151—24no—
203C22⋊C4×C151—22no—
204C22⋊C4×C151—21no—
205C22⋊C4×C151—24no—
206C22⋊C4×C151—22no—
207C22⋊C4×C151—24no—
208C22⋊C4×C151—24no—
209C22⋊C4×C151—24no—
210C22⋊C4×C151—22no—
211C22⋊C4×C151—24no—
212C22⋊C4×C151—48no—
213C22⋊C4×C151—42no—
214C22⋊C4×C151—48no—
215C22⋊C4×C151—42no—
216C22⋊C4×C151—42no—
217C22⋊C4×C151C2×D412yescomplemented
218C42×C151—21no—
219C42×C151—21no—
220C42×C151—42no—
221C23×C151—22no—
222C23×C151—22no—
223C23×C151—24no—
224C23×C151—24no—
225C23×C151—21no—
226C23×C151—22no—
227C23×C151—24no—
228C23×C151—21no—
229C23×C151—24no—
230C23×C151—24no—
231C23×C151—24no—
232C23×C151—44no—
233C23×C151—41no—
234C23×C151—41no—
235C23×C151—41no—
236C23×C151—42no—
237C23×C151—44no—
238C23×C151—48no—
239C23×C151—41no—
240C23×C151—42no—
241C23×C151—41no—
242C23×C151—41no—
243C23×C151—44no—
244C23×C151—44no—
245C23×C151—44no—
246C23×C151—41no—
247C23×C151—41no—
248C23×C151—42no—
249C23×C151—82no—
250C23×C151—82no—
251C23×C151#12112yescomplemented
252C23×C151C22×D411yescharacteristic
253C23×C151C22×D412yes—
254C23×C151C22×D411yescharacteristic
255C23×C151C2×#4111yescharacteristic
256C23×C151H(5,𝔽2)12yes—
257Q8×C151—44no—
258D4×C151—24no—
259D4×C151—24no—
260D4×C151—44no—
261D4×C151—48no—
262D4×C151—48no—
263D4×C151—44no—
264D4×C151—44no—
265D4×C151—44no—
266D4×C151—44no—
267D4×C151—44no—
268D4×C151—82no—
269D4×C151—82no—
270D4×C151—82no—
271D4×C151—816no—
272C2×C4×C151—21no—
273C2×C4×C151—21no—
274C2×C4×C151—22no—
275C2×C4×C151—24no—
276C2×C4×C151—24no—
277C2×C4×C151—22no—
278C2×C4×C151—24no—
279C2×C4×C151—21no—
280C2×C4×C151—21no—
281C2×C4×C151—22no—
282C2×C4×C151—24no—
283C2×C4×C151—24no—
284C2×C4×C151—42no—
285C2×C4×C151—41no—
286C2×C4×C151—48no—
287C2×C4×C151—44no—
288C2×C4×C151—48no—
289C2×C4×C151—44no—
290C2×C4×C151—41no—
291C2×C4×C151—41no—
292C2×C4×C151—42no—
293C2×C4×C151—41no—
294C2×C4×C151—41no—
295C2×C4×C151—44no—
296C2×C4×C151—42no—
297C2×C4×C151—41no—
298C2×C4×C151—41no—
299C2×C4×C151—41no—
300C2×C4×C151—44no—
301C2×C4×C151—41no—
302C2×C4×C151—44no—
303C2×C4×C151—41no—
304C2×C4×C151—44no—
305C2×C4×C151—81no—
306C2×C4×C151#12011yescharacteristic
307C2×C4×C151#12012yes—
308C2×C4×C151#12011yescharacteristic
309C2×C4×C151#12112yescomplemented
310C22×C151—21no—
311C22×C151—22no—
312C22×C151—21no—
313C22×C151—22no—
314C22×C151—24no—
315C22×C151—28no—
316C22×C151—22no—
317C22×C151—41no—
318C22×C151—41no—
319C22×C151—42no—
320C22×C151—42no—
321C22×C151—42no—
322C22×C151—44no—
323C22×C151—42no—
324C22×C151—42no—
325C22×C151—44no—
326C22×C151—44no—
327C22×C151—42no—
328C22×C151—42no—
329C22×C151—41no—
330C22×C151—42no—
331C22×C151—41no—
332C22×C151—44no—
333C22×C151—44no—
334C22×C151—44no—
335C22×C151—81no—
336C22×C151—84no—
337C22×C151—84no—
338C22×C151—164no—
339C22×C151C2×#12011yescharacteristic
340C22×C151C2×#12111yescharacteristic
341C22×C151#53511yescharacteristic
342C22×C151D4212yes—
343C22×C151#54612yes—
344C4×C151—22no—
345C4×C151—21no—
346C4×C151—22no—
347C4×C151—42no—
348C4×C151—44no—
349C4×C151—42no—
350C4×C151—41no—
351C4×C151—41no—
352C4×C151—81no—
353C4×C151—84no—
354C4×C151B(4,𝔽2)12yescomplemented
355C2×C151—21no—
356C2×C151—22no—
357C2×C151—21no—
358C2×C151—22no—
359C2×C151—44no—
360C2×C151—42no—
361C2×C151—84no—
362C2×C151#240811yescharacteristic
363C2×C151C2×B(4,𝔽2)11yescharacteristic
364C2×C151#302511yescharacteristic
365#24260C15111yesmaximal, characteristic, direct product factor, Sylow
366C151#2426011yescharacteristic, direct product factor, Sylow
367#3496C2×C15111yescharacteristic, complemented
368C2×B(4,𝔽2)C2×C15112yescomplemented
369#2847C2×C15112yescomplemented
370C4×#120C2×C15111yescharacteristic, complemented
371#2044C2×C15112yescomplemented
372#2021C2×C15112yescomplemented
373#1964C2×C15112yescomplemented
374#1799C2×C15111yescharacteristic, complemented
375#1790C2×C15112yescomplemented
376C2×H(5,𝔽2)C22×C15112yes—
377C24×C4C22×C15111yescharacteristic, complemented
378#547—22no—
379#546—24no—
380D42—22no—
381#537—21no—
382#534—21no—
383#534C22×C15112yes—
384#532—21no—
385C2×#121—21no—
386C2×#121—22no—
387C2×#121C22×C15112yes—
388C2×#120C22×C15111yescharacteristic
389C2×#120C22×C15114yescomplemented
390C2×C4×D4—21no—
391C2×C4×D4C22×C15111yescharacteristic
392B(4,𝔽2)—28no—
393C2×#99C22×C15112yes—
394C2×#99C22×C15114yescomplemented
395C2×#99C22×C15114yescomplemented
396#386—24no—
397#386—21no—
398#386C22×C15111yescharacteristic
399#386C22×C15114yescomplemented
400#385—21no—
401#385C22×C15111yescharacteristic, complemented
402#380—22no—
403#380C22×C15112yescomplemented
404#379C22×C15111yescharacteristic, complemented
405C4×C22⋊C4—21no—
406C4×C22⋊C4C22×C15111yescharacteristic, complemented
407#342C22×C15112yescomplemented
408C25C23×C15111yescharacteristic
409H(5,𝔽2)—24no—
410H(5,𝔽2)—24no—
411H(5,𝔽2)—44no—
412C2×#41—22no—
413C2×#41—24no—
414C22×D4—21no—
415C22×D4—22no—
416C22×D4—24no—
417C22×D4—21no—
418C22×D4—24no—
419C22×D4D4×C15112yescomplemented
420C22×D4C23×C15114yes—
421C22×D4C23×C15111yescharacteristic
422C23×C4—21no—
423C23×C4—22no—
424C23×C4—21no—
425C23×C4—22no—
426C23×C4—44no—
427C23×C4D4×C15111yescharacteristic, complemented
428C23×C4C23×C15111yescharacteristic
429C23×C4C23×C15111yescharacteristic
430C4⋊Q8—21no—
431#127—21no—
432#124—22no—
433#123—24no—
434#123—24no—
435C22⋊Q8—24no—
436#121—22no—
437#121—22no—
438#121—24no—
439#121—22no—
440#121—22no—
441#121—22no—
442#121—22no—
443#121—22no—
444#121—22no—
445#121—48no—
446#120—24no—
447#120—24no—
448#120—22no—
449#120—28no—
450#120—44no—
451#120D4×C15114yescomplemented
452C4×D4—22no—
453C4×D4—22no—
454C4×D4—22no—
455C4×D4—22no—
456C4×D4—44no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—22no—
460C2×C4⋊C4D4×C15111yescharacteristic, complemented
461C2×C4⋊C4D4×C15112yescomplemented
462C2×C22⋊C4—22no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—24no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—24no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4D4×C15111yescharacteristic, complemented
470C2×C22⋊C4D4×C15114yescomplemented
471C2×C22⋊C4C23×C15114yes—
472C2×C22⋊C4C23×C15111yescharacteristic
473C2×C22⋊C4C23×C15111yescharacteristic
474C2×C22⋊C4C23×C15111yescharacteristic
475C2×C42—21no—
476C2×C42D4×C15111yescharacteristic, complemented
477#99—24no—
478#99—28no—
479#99—44no—
480#95—21no—
481#95—21no—
482#95—21no—
483#95—24no—
484#95—22no—
485C24—21no—
486C24—22no—
487C24—22no—
488C24—21no—
489C24—22no—
490C24—42no—
491C24—42no—
492C24C2×D4×C15114yes—
493C24C2×D4×C15111yescharacteristic
494C24C2×D4×C15112yescomplemented
495C24C24×C15111yescharacteristic
496#41—48no—
497#41—48no—
498#41—44no—
499#41—44no—
500C2×Q8—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—24no—
504C2×D4—22no—
505C2×D4—24no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—24no—
509C2×D4—24no—
510C2×D4—24no—
511C2×D4—24no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—44no—
517C2×D4—48no—
518C2×D4—48no—
519C2×D4—42no—
520C2×D4—44no—
521C2×D4—42no—
522C2×D4—44no—
523C2×D4—48no—
524C2×D4—48no—
525C2×D4—48no—
526C2×D4—82no—
527C2×D4C2×D4×C15112yes—
528C2×D4#41×C15112yes—
529C22×C4—22no—
530C22×C4—24no—
531C22×C4—24no—
532C22×C4—28no—
533C22×C4—21no—
534C22×C4—22no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—24no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—44no—
544C22×C4—44no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—44no—
549C22×C4—41no—
550C22×C4—42no—
551C22×C4—41no—
552C22×C4C2×D4×C15114yes—
553C22×C4C2×D4×C15111yescharacteristic
554C22×C4C2×D4×C15112yes—
555C22×C4C2×D4×C15111yescharacteristic
556C22×C4C2×D4×C15111yescharacteristic
557C22×C4C2×D4×C15111yescharacteristic
558C22×C4C2×D4×C15112yes—
559C22×C4C2×D4×C15111yescharacteristic
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—42no—
566C4⋊C4—44no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—22no—
570C22⋊C4—21no—
571C22⋊C4—24no—
572C22⋊C4—22no—
573C22⋊C4—24no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—22no—
577C22⋊C4—24no—
578C22⋊C4—48no—
579C22⋊C4—42no—
580C22⋊C4—48no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4C2×D4×C15112yescomplemented
584C42—21no—
585C42—21no—
586C42—42no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—24no—
591C23—21no—
592C23—22no—
593C23—24no—
594C23—21no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—41no—
599C23—41no—
600C23—44no—
601C23—41no—
602C23—42no—
603C23—41no—
604C23—42no—
605C23—44no—
606C23—48no—
607C23—41no—
608C23—41no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—41no—
613C23—41no—
614C23—42no—
615C23—82no—
616C23—82no—
617C23#121×C15112yescomplemented
618C23C22×D4×C15111yescharacteristic
619C23C22×D4×C15112yes—
620C23C22×D4×C15111yescharacteristic
621C23C2×#41×C15111yescharacteristic
622C23H(5,𝔽2)×C15112yes—
623Q8—44no—
624D4—24no—
625D4—24no—
626D4—44no—
627D4—48no—
628D4—48no—
629D4—44no—
630D4—44no—
631D4—44no—
632D4—44no—
633D4—44no—
634D4—82no—
635D4—82no—
636D4—82no—
637D4—816no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—42no—
651C2×C4—41no—
652C2×C4—44no—
653C2×C4—48no—
654C2×C4—48no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—44no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—44no—
667C2×C4—41no—
668C2×C4—44no—
669C2×C4—41no—
670C2×C4—44no—
671C2×C4—81no—
672C2×C4#120×C15111yescharacteristic
673C2×C4#120×C15112yes—
674C2×C4#120×C15111yescharacteristic
675C2×C4#121×C15112yescomplemented
676C22—21no—
677C22—22no—
678C22—21no—
679C22—22no—
680C22—24no—
681C22—28no—
682C22—22no—
683C22—41no—
684C22—41no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—44no—
689C22—42no—
690C22—42no—
691C22—44no—
692C22—44no—
693C22—42no—
694C22—42no—
695C22—41no—
696C22—42no—
697C22—41no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—81no—
702C22—84no—
703C22—84no—
704C22—164no—
705C22C2×#120×C15111yescharacteristic
706C22C2×#121×C15111yescharacteristic
707C22#535×C15111yescharacteristic
708C22D42×C15112yes—
709C22#546×C15112yes—
710C4—22no—
711C4—21no—
712C4—22no—
713C4—42no—
714C4—44no—
715C4—42no—
716C4—41no—
717C4—41no—
718C4—84no—
719C4—81no—
720C4B(4,𝔽2)×C15112yescomplemented
721C2—21no—
722C2—22no—
723C2—21no—
724C2—22no—
725C2—44no—
726C2—42no—
727C2—84no—
728C2#2408×C15111yescharacteristic
729C2C2×B(4,𝔽2)×C15111yescharacteristic
730C2#3025×C15111yescharacteristic
subgroupG/H
center, socleC22×C151C2×#120
commutator, Frattini, cosocleC24C24×C151
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C151 ◁ C23×C4×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3496×C151C2semidirect
2. C2×B(4,𝔽2)×C151C2semidirect
3. #2847×C151C2semidirect
4. C4×#120×C151C2semidirect
5. #2044×C151C2semidirect
6. #2021×C151C2semidirect
7. #1964×C151C2semidirect
8. #1799×C151C2semidirect
9. #1790×C151C2semidirect
11. C24×C4×C151C22semidirect
23. C2×#120×C151C22semidirect
28. C2×#99×C151C22semidirect
29. C2×#99×C151C22semidirect
33. #386×C151C22semidirect
35. #385×C151C22semidirect
37. #380×C151C22semidirect
38. #379×C151C22semidirect
40. C4×C22⋊C4×C151C22semidirect
41. #342×C151C22semidirect
53. C22×D4×C151D4semidirect
61. C23×C4×C151D4semidirect
85. #120×C151D4semidirect
94. C2×C4⋊C4×C151D4semidirect
95. C2×C4⋊C4×C151D4semidirect
103. C2×C22⋊C4×C151D4semidirect
104. C2×C22⋊C4×C151D4semidirect
110. C2×C42×C151D4semidirect
128. C24×C151C2×D4semidirect
217. C22⋊C4×C151C2×D4semidirect
251. C23×C151#121semidirect
309. C2×C4×C151#121semidirect
354. C4×C151B(4,𝔽2)semidirect
365. #24260C151direct (N × H)
366. C151#24260direct (N × H)
367. #3496C2×C151semidirect
368. C2×B(4,𝔽2)C2×C151semidirect
369. #2847C2×C151semidirect
370. C4×#120C2×C151semidirect
371. #2044C2×C151semidirect
372. #2021C2×C151semidirect
373. #1964C2×C151semidirect
374. #1799C2×C151semidirect
375. #1790C2×C151semidirect
377. C24×C4C22×C151semidirect
389. C2×#120C22×C151semidirect
394. C2×#99C22×C151semidirect
395. C2×#99C22×C151semidirect
399. #386C22×C151semidirect
401. #385C22×C151semidirect
403. #380C22×C151semidirect
404. #379C22×C151semidirect
406. C4×C22⋊C4C22×C151semidirect
407. #342C22×C151semidirect
419. C22×D4D4×C151semidirect
427. C23×C4D4×C151semidirect
451. #120D4×C151semidirect
460. C2×C4⋊C4D4×C151semidirect
461. C2×C4⋊C4D4×C151semidirect
469. C2×C22⋊C4D4×C151semidirect
470. C2×C22⋊C4D4×C151semidirect
476. C2×C42D4×C151semidirect
494. C24C2×D4×C151semidirect
583. C22⋊C4C2×D4×C151semidirect
617. C23#121×C151semidirect
675. C2×C4#121×C151semidirect
720. C4B(4,𝔽2)×C151semidirect

Maximal subgroups

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

subgroupindex
#3496×C1512
C2×B(4,𝔽2)×C1512
#2847×C1512
C4×#120×C1512
#2044×C1512
#2021×C1512
#1964×C1512
#1799×C1512
#1790×C1512
#24260151