Finite Group Databasebeta

← C151×#18420 #50323345

Subgroups — C151×#18420 #50323345

Order 38656.

1108 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3536×C151C211yesmaximal, characteristic, complemented
2#3193×C151C211yesmaximal, characteristic, complemented
3#3188×C151C211yesmaximal, characteristic, complemented
4#2656×C151C211yesmaximal, characteristic, complemented
5#1618×C151C212yesmaximal, complemented
6#1614×C151C212yesmaximal, complemented
7#1600×C151C212yesmaximal, complemented
8#1596×C151C212yesmaximal, complemented
9#1504×C151C211yesmaximal, characteristic, complemented
10C2×#328×C151C211yesmaximal, characteristic, complemented
11#1471×C151C211yesmaximal, characteristic, complemented
12#562×C151—22no—
13#554×C151—21no—
14#548×C151—21no—
15#547×C151—21no—
16#546×C151—22no—
17#546×C151—21no—
18#543×C151C2212yes—
19#542×C151—21no—
20#539×C151—21no—
21#538×C151C2212yes—
22#537×C151—21no—
23#537×C151—21no—
24#525×C151C2211yescharacteristic
25C2×C22⋊Q8×C151C2211yescharacteristic
26C2×#121×C151—22no—
27C2×#121×C151C2211yescharacteristic
28C2×#121×C151C2211yescharacteristic
29#484×C151C2211yescharacteristic
30#484×C151C2212yes—
31#482×C151—21no—
32#481×C151C2211yescharacteristic
33#480×C151—21no—
34#468×C151—22no—
35#466×C151—21no—
36#465×C151—21no—
37#450×C151C2211yescharacteristic
38#450×C151C2212yes—
39#449×C151—21no—
40#448×C151—21no—
41#447×C151C2211yescharacteristic
42#407×C151C2211yescharacteristic
43C2×C22⋊C8×C151C2211yescharacteristic
44#399×C151—21no—
45#399×C151C2212yes—
46#392×C151—21no—
47#392×C151C2212yes—
48C2×#95×C151C2211yescharacteristic
49#328×C151C2212yes—
50#328×C151C2212yes—
51#328×C151C2212yes—
52#327×C151C2212yes—
53#323×C151C2212yes—
54#323×C151C2212yes—
55C2×#41×C151—22no—
56C2×#41×C151—21no—
57C2×#41×C151D411yescharacteristic, complemented
58C22×Q8×C151D411yescharacteristic, complemented
59C22×D4×C151—21no—
60C22×D4×C151—22no—
61C22×D4×C151D412yes—
62C22×D4×C151D411yescharacteristic
63C22×D4×C151C2311yescharacteristic
64C23×C4×C151—21no—
65C23×C4×C151C2311yescharacteristic
66C2×SD16×C151—22no—
67C2×SD16×C151—21no—
68C2×D8×C151—21no—
69C2×M16×C151—21no—
70C22×C8×C151—21no—
71C4⋊Q8×C151—21no—
72#126×C151—22no—
73#125×C151—22no—
74#124×C151—21no—
75#124×C151—22no—
76#124×C151—22no—
77#123×C151—22no—
78#123×C151—22no—
79#123×C151—22no—
80#123×C151—21no—
81#123×C151—22no—
82C22⋊Q8×C151—21no—
83C22⋊Q8×C151—22no—
84C22⋊Q8×C151—21no—
85C22⋊Q8×C151—21no—
86C22⋊Q8×C151—22no—
87C22⋊Q8×C151—22no—
88C22⋊Q8×C151—22no—
89C22⋊Q8×C151—22no—
90C22⋊Q8×C151—22no—
91C22⋊Q8×C151D411yescharacteristic, complemented
92C22⋊Q8×C151D412yescomplemented
93C22⋊Q8×C151C2312yes—
94C22⋊Q8×C151C2311yescharacteristic
95#121×C151—21no—
96#121×C151—22no—
97#121×C151—22no—
98#121×C151—22no—
99#121×C151—22no—
100#121×C151—22no—
101#121×C151—21no—
102#121×C151—21no—
103#121×C151—21no—
104#121×C151—21no—
105#121×C151—21no—
106#121×C151—21no—
107#121×C151—21no—
108#121×C151—21no—
109#121×C151—48no—
110#121×C151D411yescharacteristic, complemented
111#121×C151C2311yescharacteristic
112#120×C151—21no—
113#120×C151—22no—
114C4×Q8×C151—21no—
115C4×D4×C151—22no—
116C4×D4×C151—21no—
117C4×D4×C151—21no—
118C4×D4×C151—21no—
119C4×D4×C151—22no—
120#117×C151D411yescharacteristic, complemented
121C2×C4⋊C4×C151—21no—
122C2×C4⋊C4×C151—21no—
123C2×C4⋊C4×C151—22no—
124C2×C4⋊C4×C151D411yescharacteristic
125C2×C4⋊C4×C151D411yescharacteristic, complemented
126C2×C4⋊C4×C151C2311yescharacteristic
127C2×C22⋊C4×C151—21no—
128C2×C22⋊C4×C151—22no—
129C2×C22⋊C4×C151—21no—
130C2×C22⋊C4×C151—22no—
131C2×C22⋊C4×C151—22no—
132C2×C22⋊C4×C151C2312yes—
133#107×C151—21no—
134#107×C151—22no—
135#106×C151—21no—
136#103×C151—22no—
137#103×C151—21no—
138#102×C151—21no—
139#102×C151—21no—
140#102×C151—21no—
141#102×C151—22no—
142C22⋊C8×C151—21no—
143C22⋊C8×C151—21no—
144C22⋊C8×C151C2311yescharacteristic
145C22⋊C8×C151C2311yescharacteristic
146C22⋊C8×C151C2312yes—
147#95×C151—21no—
148#95×C151C2312yes—
149C24×C151—21no—
150C24×C151C2×D411yescharacteristic
151C24×C151C2×D412yes—
152#41×C151—81no—
153#41×C151—84no—
154#41×C151—82no—
155C2×Q8×C151—22no—
156C2×Q8×C151—21no—
157C2×Q8×C151—81no—
158C2×Q8×C151C2×D411yescharacteristic
159C2×Q8×C151C2×D412yes—
160C2×D4×C151—21no—
161C2×D4×C151—22no—
162C2×D4×C151—21no—
163C2×D4×C151—22no—
164C2×D4×C151—22no—
165C2×D4×C151—21no—
166C2×D4×C151—22no—
167C2×D4×C151—21no—
168C2×D4×C151—21no—
169C2×D4×C151—21no—
170C2×D4×C151—21no—
171C2×D4×C151—44no—
172C2×D4×C151—44no—
173C2×D4×C151—44no—
174C2×D4×C151—41no—
175C2×D4×C151—41no—
176C2×D4×C151—81no—
177C2×D4×C151—81no—
178C2×D4×C151—82no—
179C2×D4×C151—82no—
180C2×D4×C151C2×D411yescharacteristic
181C22×C4×C151—21no—
182C22×C4×C151—22no—
183C22×C4×C151—22no—
184C22×C4×C151—22no—
185C22×C4×C151—22no—
186C22×C4×C151—24no—
187C22×C4×C151—21no—
188C22×C4×C151—21no—
189C22×C4×C151—21no—
190C22×C4×C151—81no—
191C22×C4×C151—81no—
192C22×C4×C151—81no—
193C22×C4×C151C2×D412yes—
194C22×C4×C151C2×D411yescharacteristic
195C22×C4×C151C2×D411yescharacteristic
196C22×C4×C151C2×D411yescharacteristic
197C22×C4×C151C2×D411yescharacteristic
198C22×C4×C151C2×D411yescharacteristic
199C22×C4×C151C2411yescharacteristic
200SD16×C151—81no—
201SD16×C151—82no—
202D8×C151—81no—
203M16×C151—81no—
204C2×C8×C151—21no—
205C2×C8×C151—21no—
206C2×C8×C151—22no—
207C2×C8×C151—81no—
208C4⋊C4×C151—22no—
209C4⋊C4×C151—22no—
210C4⋊C4×C151—22no—
211C4⋊C4×C151—22no—
212C4⋊C4×C151—21no—
213C4⋊C4×C151—21no—
214C4⋊C4×C151—22no—
215C4⋊C4×C151—21no—
216C4⋊C4×C151—21no—
217C4⋊C4×C151—22no—
218C4⋊C4×C151—21no—
219C4⋊C4×C151—21no—
220C4⋊C4×C151—21no—
221C4⋊C4×C151—44no—
222C4⋊C4×C151C2×D411yescharacteristic
223C4⋊C4×C151C2×D412yes—
224C4⋊C4×C151C2×D411yescharacteristic
225C22⋊C4×C151—22no—
226C22⋊C4×C151—22no—
227C22⋊C4×C151—22no—
228C22⋊C4×C151—22no—
229C22⋊C4×C151—22no—
230C22⋊C4×C151—22no—
231C22⋊C4×C151—21no—
232C22⋊C4×C151—21no—
233C22⋊C4×C151—21no—
234C22⋊C4×C151—22no—
235C22⋊C4×C151—21no—
236C22⋊C4×C151—22no—
237C22⋊C4×C151—22no—
238C22⋊C4×C151—21no—
239C22⋊C4×C151—44no—
240C22⋊C4×C151—44no—
241C22⋊C4×C151—41no—
242C22⋊C4×C151—41no—
243C42×C151—22no—
244C42×C151—21no—
245C23×C151—21no—
246C23×C151—21no—
247C23×C151—22no—
248C23×C151—22no—
249C23×C151—21no—
250C23×C151—22no—
251C23×C151—22no—
252C23×C151—41no—
253C23×C151—42no—
254C23×C151—42no—
255C23×C151—42no—
256C23×C151—42no—
257C23×C151—41no—
258C23×C151—41no—
259C23×C151—41no—
260C23×C151#12011yescharacteristic
261C23×C151#12011yescharacteristic
262C23×C151C22×D411yescharacteristic
263Q8×C151—42no—
264Q8×C151—41no—
265Q8×C151—42no—
266Q8×C151—82no—
267D4×C151—41no—
268D4×C151—42no—
269D4×C151—41no—
270D4×C151—41no—
271D4×C151—42no—
272D4×C151—41no—
273D4×C151—41no—
274D4×C151—42no—
275D4×C151—44no—
276D4×C151—81no—
277D4×C151—81no—
278D4×C151—82no—
279D4×C151—82no—
280D4×C151—82no—
281D4×C151—88no—
282D4×C151—82no—
283D4×C151—82no—
284C2×C4×C151—24no—
285C2×C4×C151—21no—
286C2×C4×C151—22no—
287C2×C4×C151—22no—
288C2×C4×C151—22no—
289C2×C4×C151—21no—
290C2×C4×C151—21no—
291C2×C4×C151—41no—
292C2×C4×C151—41no—
293C2×C4×C151—41no—
294C2×C4×C151—41no—
295C2×C4×C151—41no—
296C2×C4×C151—41no—
297C2×C4×C151—42no—
298C2×C4×C151—42no—
299C2×C4×C151—42no—
300C2×C4×C151—42no—
301C2×C4×C151—42no—
302C2×C4×C151—42no—
303C2×C4×C151—41no—
304C2×C4×C151—81no—
305C2×C4×C151—82no—
306C2×C4×C151—82no—
307C2×C4×C151—82no—
308C2×C4×C151—84no—
309C2×C4×C151#12011yescharacteristic
310C2×C4×C151#12011yescharacteristic
311C2×C4×C151C22×D411yescharacteristic
312C2×C4×C151C22×D411yescharacteristic
313C8×C151—41no—
314C8×C151—41no—
315C8×C151—42no—
316C22×C151—21no—
317C22×C151—21no—
318C22×C151—21no—
319C22×C151—21no—
320C22×C151—21no—
321C22×C151—21no—
322C22×C151—21no—
323C22×C151—42no—
324C22×C151—42no—
325C22×C151—41no—
326C22×C151—42no—
327C22×C151—41no—
328C22×C151—42no—
329C22×C151—41no—
330C22×C151—42no—
331C22×C151—82no—
332C22×C151—82no—
333C22×C151—82no—
334C22×C151—82no—
335C22×C151—81no—
336C22×C151—81no—
337C22×C151—81no—
338C22×C151#45312yes—
339C22×C151C2×#12011yescharacteristic
340C22×C151#57711yescharacteristic
341C22×C151#57811yescharacteristic
342C4×C151—21no—
343C4×C151—21no—
344C4×C151—21no—
345C4×C151—21no—
346C4×C151—44no—
347C4×C151—41no—
348C4×C151—42no—
349C4×C151—42no—
350C4×C151—41no—
351C4×C151—41no—
352C4×C151—42no—
353C4×C151—81no—
354C2×C151—21no—
355C2×C151—21no—
356C2×C151—22no—
357C2×C151—41no—
358C2×C151—81no—
359C2×C151—82no—
360C2×C151—161no—
361C2×C151#301311yescharacteristic
362C2×C151C2×#45311yescharacteristic
363C2×C151#302611yescharacteristic
364#18420C15111yesmaximal, characteristic, direct product factor, Sylow
365C151#1842011yescharacteristic, direct product factor, Sylow
366#3536C2×C15111yescharacteristic, complemented
367#3193C2×C15111yescharacteristic, complemented
368#3188C2×C15111yescharacteristic, complemented
369#2656C2×C15111yescharacteristic, complemented
370#1618C2×C15112yescomplemented
371#1614C2×C15112yescomplemented
372#1600C2×C15112yescomplemented
373#1596C2×C15112yescomplemented
374#1504C2×C15111yescharacteristic, complemented
375C2×#328C2×C15111yescharacteristic, complemented
376#1471C2×C15111yescharacteristic, complemented
377#562—22no—
378#554—21no—
379#548—21no—
380#547—21no—
381#546—22no—
382#546—21no—
383#543C22×C15112yes—
384#542—21no—
385#539—21no—
386#538C22×C15112yes—
387#537—21no—
388#537—21no—
389#525C22×C15111yescharacteristic
390C2×C22⋊Q8C22×C15111yescharacteristic
391C2×#121—22no—
392C2×#121C22×C15111yescharacteristic
393C2×#121C22×C15111yescharacteristic
394#484C22×C15111yescharacteristic
395#484C22×C15112yes—
396#482—21no—
397#481C22×C15111yescharacteristic
398#480—21no—
399#468—22no—
400#466—21no—
401#465—21no—
402#450C22×C15111yescharacteristic
403#450C22×C15112yes—
404#449—21no—
405#448—21no—
406#447C22×C15111yescharacteristic
407#407C22×C15111yescharacteristic
408C2×C22⋊C8C22×C15111yescharacteristic
409#399—21no—
410#399C22×C15112yes—
411#392—21no—
412#392C22×C15112yes—
413C2×#95C22×C15111yescharacteristic
414#328C22×C15112yes—
415#328C22×C15112yes—
416#328C22×C15112yes—
417#327C22×C15112yes—
418#323C22×C15112yes—
419#323C22×C15112yes—
420C2×#41—22no—
421C2×#41—21no—
422C2×#41D4×C15111yescharacteristic, complemented
423C22×Q8D4×C15111yescharacteristic, complemented
424C22×D4—21no—
425C22×D4—22no—
426C22×D4D4×C15112yes—
427C22×D4D4×C15111yescharacteristic
428C22×D4C23×C15111yescharacteristic
429C23×C4—21no—
430C23×C4C23×C15111yescharacteristic
431C2×SD16—22no—
432C2×SD16—21no—
433C2×D8—21no—
434C2×M16—21no—
435C22×C8—21no—
436C4⋊Q8—21no—
437#126—22no—
438#125—22no—
439#124—21no—
440#124—22no—
441#124—22no—
442#123—22no—
443#123—22no—
444#123—22no—
445#123—21no—
446#123—22no—
447C22⋊Q8—21no—
448C22⋊Q8—22no—
449C22⋊Q8—22no—
450C22⋊Q8—22no—
451C22⋊Q8—21no—
452C22⋊Q8—21no—
453C22⋊Q8—22no—
454C22⋊Q8—22no—
455C22⋊Q8—22no—
456C22⋊Q8D4×C15112yescomplemented
457C22⋊Q8D4×C15111yescharacteristic, complemented
458C22⋊Q8C23×C15112yes—
459C22⋊Q8C23×C15111yescharacteristic
460#121—21no—
461#121—22no—
462#121—22no—
463#121—22no—
464#121—22no—
465#121—22no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—21no—
471#121—21no—
472#121—21no—
473#121—21no—
474#121—48no—
475#121D4×C15111yescharacteristic, complemented
476#121C23×C15111yescharacteristic
477#120—21no—
478#120—22no—
479C4×Q8—21no—
480C4×D4—22no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—22no—
485#117D4×C15111yescharacteristic, complemented
486C2×C4⋊C4—21no—
487C2×C4⋊C4—21no—
488C2×C4⋊C4—22no—
489C2×C4⋊C4D4×C15111yescharacteristic
490C2×C4⋊C4D4×C15111yescharacteristic, complemented
491C2×C4⋊C4C23×C15111yescharacteristic
492C2×C22⋊C4—21no—
493C2×C22⋊C4—22no—
494C2×C22⋊C4—22no—
495C2×C22⋊C4—22no—
496C2×C22⋊C4—21no—
497C2×C22⋊C4C23×C15112yes—
498#107—21no—
499#107—22no—
500#106—21no—
501#103—22no—
502#103—21no—
503#102—21no—
504#102—21no—
505#102—21no—
506#102—22no—
507C22⋊C8—21no—
508C22⋊C8—21no—
509C22⋊C8C23×C15112yes—
510C22⋊C8C23×C15111yescharacteristic
511C22⋊C8C23×C15111yescharacteristic
512#95—21no—
513#95C23×C15112yes—
514C24—21no—
515C24C2×D4×C15111yescharacteristic
516C24C2×D4×C15112yes—
517#41—81no—
518#41—84no—
519#41—82no—
520C2×Q8—22no—
521C2×Q8—21no—
522C2×Q8—81no—
523C2×Q8C2×D4×C15111yescharacteristic
524C2×Q8C2×D4×C15112yes—
525C2×D4—21no—
526C2×D4—22no—
527C2×D4—21no—
528C2×D4—22no—
529C2×D4—22no—
530C2×D4—21no—
531C2×D4—22no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—44no—
537C2×D4—44no—
538C2×D4—44no—
539C2×D4—41no—
540C2×D4—41no—
541C2×D4—81no—
542C2×D4—81no—
543C2×D4—82no—
544C2×D4—82no—
545C2×D4C2×D4×C15111yescharacteristic
546C22×C4—21no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—24no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—81no—
556C22×C4—81no—
557C22×C4—81no—
558C22×C4C2×D4×C15112yes—
559C22×C4C2×D4×C15111yescharacteristic
560C22×C4C2×D4×C15111yescharacteristic
561C22×C4C2×D4×C15111yescharacteristic
562C22×C4C2×D4×C15111yescharacteristic
563C22×C4C2×D4×C15111yescharacteristic
564C22×C4C24×C15111yescharacteristic
565SD16—81no—
566SD16—82no—
567D8—81no—
568M16—81no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—22no—
572C2×C8—81no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—22no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—22no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—44no—
587C4⋊C4C2×D4×C15111yescharacteristic
588C4⋊C4C2×D4×C15112yes—
589C4⋊C4C2×D4×C15111yescharacteristic
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—21no—
597C22⋊C4—21no—
598C22⋊C4—22no—
599C22⋊C4—21no—
600C22⋊C4—21no—
601C22⋊C4—22no—
602C22⋊C4—22no—
603C22⋊C4—21no—
604C22⋊C4—44no—
605C22⋊C4—44no—
606C22⋊C4—41no—
607C22⋊C4—41no—
608C42—22no—
609C42—21no—
610C23—22no—
611C23—21no—
612C23—21no—
613C23—22no—
614C23—21no—
615C23—22no—
616C23—22no—
617C23—41no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23#120×C15111yescharacteristic
626C23#120×C15111yescharacteristic
627C23C22×D4×C15111yescharacteristic
628Q8—42no—
629Q8—41no—
630Q8—42no—
631Q8—82no—
632D4—41no—
633D4—42no—
634D4—41no—
635D4—41no—
636D4—42no—
637D4—44no—
638D4—42no—
639D4—41no—
640D4—41no—
641D4—81no—
642D4—82no—
643D4—81no—
644D4—82no—
645D4—82no—
646D4—88no—
647D4—82no—
648D4—82no—
649C2×C4—24no—
650C2×C4—21no—
651C2×C4—22no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—21no—
655C2×C4—22no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—41no—
669C2×C4—81no—
670C2×C4—84no—
671C2×C4—82no—
672C2×C4—82no—
673C2×C4—82no—
674C2×C4#120×C15111yescharacteristic
675C2×C4#120×C15111yescharacteristic
676C2×C4C22×D4×C15111yescharacteristic
677C2×C4C22×D4×C15111yescharacteristic
678C8—41no—
679C8—41no—
680C8—42no—
681C22—21no—
682C22—21no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—42no—
689C22—42no—
690C22—41no—
691C22—42no—
692C22—41no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—82no—
697C22—82no—
698C22—82no—
699C22—82no—
700C22—81no—
701C22—81no—
702C22—81no—
703C22#453×C15112yes—
704C22C2×#120×C15111yescharacteristic
705C22#577×C15111yescharacteristic
706C22#578×C15111yescharacteristic
707C4—21no—
708C4—21no—
709C4—21no—
710C4—21no—
711C4—44no—
712C4—41no—
713C4—42no—
714C4—42no—
715C4—41no—
716C4—41no—
717C4—42no—
718C4—81no—
719C2—21no—
720C2—21no—
721C2—22no—
722C2—41no—
723C2—82no—
724C2—81no—
725C2—161no—
726C2#3013×C15111yescharacteristic
727C2C2×#453×C15111yescharacteristic
728C2#3026×C15111yescharacteristic
subgroupG/H
center, socleC22×C151C2×#120
commutator, Frattini, cosocleC22×C4C24×C151
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C151 ◁ C23×C4×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3536×C151C2semidirect
2. #3193×C151C2semidirect
3. #3188×C151C2semidirect
4. #2656×C151C2semidirect
5. #1618×C151C2semidirect
6. #1614×C151C2semidirect
7. #1600×C151C2semidirect
8. #1596×C151C2semidirect
9. #1504×C151C2semidirect
10. C2×#328×C151C2semidirect
11. #1471×C151C2semidirect
57. C2×#41×C151D4semidirect
58. C22×Q8×C151D4semidirect
91. C22⋊Q8×C151D4semidirect
92. C22⋊Q8×C151D4semidirect
110. #121×C151D4semidirect
120. #117×C151D4semidirect
125. C2×C4⋊C4×C151D4semidirect
364. #18420C151direct (N × H)
365. C151#18420direct (N × H)
366. #3536C2×C151semidirect
367. #3193C2×C151semidirect
368. #3188C2×C151semidirect
369. #2656C2×C151semidirect
370. #1618C2×C151semidirect
371. #1614C2×C151semidirect
372. #1600C2×C151semidirect
373. #1596C2×C151semidirect
374. #1504C2×C151semidirect
375. C2×#328C2×C151semidirect
376. #1471C2×C151semidirect
422. C2×#41D4×C151semidirect
423. C22×Q8D4×C151semidirect
456. C22⋊Q8D4×C151semidirect
457. C22⋊Q8D4×C151semidirect
475. #121D4×C151semidirect
485. #117D4×C151semidirect
490. C2×C4⋊C4D4×C151semidirect

Maximal subgroups

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

subgroupindex
#3536×C1512
#3193×C1512
#3188×C1512
#2656×C1512
#1618×C1512
#1614×C1512
#1600×C1512
#1596×C1512
#1504×C1512
C2×#328×C1512
#1471×C1512
#18420151