Finite Group Databasebeta

← C151×#18418 #50323343

Subgroups — C151×#18418 #50323343

Order 38656.

1176 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3537×C151C211yesmaximal, characteristic, complemented
2#3192×C151C211yesmaximal, characteristic, complemented
3#3188×C151C211yesmaximal, characteristic, complemented
4#2656×C151C211yesmaximal, characteristic, complemented
5#1618×C151C212yesmaximal, complemented
6#1613×C151C212yesmaximal, complemented
7#1600×C151C212yesmaximal, complemented
8#1595×C151C212yesmaximal, complemented
9#1504×C151C211yesmaximal, characteristic, complemented
10C2×#327×C151C211yesmaximal, characteristic, complemented
11#1471×C151C211yesmaximal, characteristic, complemented
12#560×C151—22no—
13#553×C151—21no—
14#553×C151—21no—
15D42×C151—22no—
16D42×C151—21no—
17D42×C151—21no—
18#540×C151—21no—
19#538×C151—21no—
20#538×C151C2212yes—
21#535×C151—21no—
22#534×C151—21no—
23#534×C151C2212yes—
24#525×C151C2211yescharacteristic
25C2×#121×C151—22no—
26C2×#121×C151C2211yescharacteristic
27C2×#121×C151C2211yescharacteristic
28C2×#121×C151C2211yescharacteristic, complemented
29#484×C151C2211yescharacteristic, complemented
30#482×C151—21no—
31#481×C151—21no—
32#481×C151C2211yescharacteristic, complemented
33#481×C151C2212yescomplemented
34#469×C151—22no—
35#466×C151—21no—
36#465×C151—21no—
37#450×C151C2211yescharacteristic, complemented
38#449×C151—21no—
39#447×C151—21no—
40#447×C151C2211yescharacteristic, complemented
41#447×C151C2212yescomplemented
42#407×C151C2211yescharacteristic, complemented
43C2×C22⋊C8×C151C2211yescharacteristic, complemented
44#399×C151—21no—
45#399×C151C2212yescomplemented
46#392×C151—21no—
47#392×C151C2212yescomplemented
48C2×#95×C151C2211yescharacteristic, complemented
49#328×C151C2212yescomplemented
50#327×C151C2212yescomplemented
51#327×C151C2212yescomplemented
52#327×C151C2212yescomplemented
53#323×C151C2212yescomplemented
54#323×C151C2212yescomplemented
55C2×#41×C151D411yescharacteristic, complemented
56C22×D4×C151—22no—
57C22×D4×C151—21no—
58C22×D4×C151—21no—
59C22×D4×C151—22no—
60C22×D4×C151—21no—
61C22×D4×C151—22no—
62C22×D4×C151D412yes—
63C22×D4×C151D411yescharacteristic
64C22×D4×C151D411yescharacteristic, complemented
65C22×D4×C151C2311yescharacteristic
66C23×C4×C151—21no—
67C23×C4×C151C2311yescharacteristic
68C2×SD16×C151—21no—
69C2×D8×C151—22no—
70C2×D8×C151—21no—
71C2×M16×C151—21no—
72C22×C8×C151—21no—
73#127×C151—22no—
74#127×C151—21no—
75#126×C151—22no—
76#126×C151—22no—
77#125×C151—21no—
78#124×C151—22no—
79#123×C151—22no—
80#123×C151—21no—
81#123×C151—22no—
82#123×C151—22no—
83#123×C151—22no—
84C22⋊Q8×C151D411yescharacteristic, complemented
85C22⋊Q8×C151C2311yescharacteristic
86#121×C151—22no—
87#121×C151—21no—
88#121×C151—21no—
89#121×C151—22no—
90#121×C151—22no—
91#121×C151—22no—
92#121×C151—22no—
93#121×C151—21no—
94#121×C151—21no—
95#121×C151—21no—
96#121×C151—21no—
97#121×C151—21no—
98#121×C151—21no—
99#121×C151—22no—
100#121×C151—21no—
101#121×C151—21no—
102#121×C151—21no—
103#121×C151—21no—
104#121×C151—48no—
105#121×C151D411yescharacteristic, complemented
106#121×C151D412yescomplemented
107#121×C151C2312yes—
108#121×C151C2311yescharacteristic
109#120×C151—22no—
110#120×C151—22no—
111#120×C151—22no—
112#120×C151—22no—
113#120×C151—22no—
114#120×C151—21no—
115#120×C151—22no—
116C4×D4×C151—22no—
117C4×D4×C151—21no—
118C4×D4×C151—21no—
119C4×D4×C151—21no—
120C4×D4×C151—21no—
121C4×D4×C151—22no—
122#117×C151—21no—
123#117×C151D411yescharacteristic, complemented
124C2×C4⋊C4×C151—22no—
125C2×C4⋊C4×C151D411yescharacteristic
126C2×C4⋊C4×C151D411yescharacteristic, complemented
127C2×C4⋊C4×C151C2311yescharacteristic
128C2×C22⋊C4×C151—21no—
129C2×C22⋊C4×C151—21no—
130C2×C22⋊C4×C151—22no—
131C2×C22⋊C4×C151—22no—
132C2×C22⋊C4×C151C2312yes—
133#107×C151—21no—
134#106×C151—21no—
135#106×C151—22no—
136#103×C151—21no—
137#102×C151—22no—
138#102×C151—21no—
139#102×C151—21no—
140#102×C151—22no—
141#102×C151—21no—
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—22no—
150C24×C151—21no—
151C24×C151—21no—
152C24×C151C2×D411yescharacteristic
153C24×C151C2×D412yes—
154#41×C151—81no—
155C2×Q8×C151C2×D411yescharacteristic
156C2×D4×C151—22no—
157C2×D4×C151—21no—
158C2×D4×C151—21no—
159C2×D4×C151—22no—
160C2×D4×C151—22no—
161C2×D4×C151—22no—
162C2×D4×C151—22no—
163C2×D4×C151—22no—
164C2×D4×C151—22no—
165C2×D4×C151—21no—
166C2×D4×C151—22no—
167C2×D4×C151—22no—
168C2×D4×C151—21no—
169C2×D4×C151—21no—
170C2×D4×C151—21no—
171C2×D4×C151—21no—
172C2×D4×C151—21no—
173C2×D4×C151—44no—
174C2×D4×C151—44no—
175C2×D4×C151—44no—
176C2×D4×C151—41no—
177C2×D4×C151—41no—
178C2×D4×C151—81no—
179C2×D4×C151—81no—
180C2×D4×C151—82no—
181C2×D4×C151—81no—
182C2×D4×C151—82no—
183C2×D4×C151—82no—
184C2×D4×C151—81no—
185C2×D4×C151—81no—
186C2×D4×C151—82no—
187C2×D4×C151—82no—
188C2×D4×C151—84no—
189C2×D4×C151C2×D411yescharacteristic
190C2×D4×C151C2×D412yes—
191C22×C4×C151—22no—
192C22×C4×C151—22no—
193C22×C4×C151—22no—
194C22×C4×C151—24no—
195C22×C4×C151—21no—
196C22×C4×C151—21no—
197C22×C4×C151—21no—
198C22×C4×C151—81no—
199C22×C4×C151—81no—
200C22×C4×C151—81no—
201C22×C4×C151C2×D412yes—
202C22×C4×C151C2×D411yescharacteristic
203C22×C4×C151C2×D411yescharacteristic
204C22×C4×C151C2×D411yescharacteristic
205C22×C4×C151C2×D411yescharacteristic
206C22×C4×C151C2×D411yescharacteristic
207C22×C4×C151C2411yescharacteristic
208SD16×C151—81no—
209D8×C151—81no—
210D8×C151—82no—
211M16×C151—81no—
212C2×C8×C151—21no—
213C2×C8×C151—22no—
214C2×C8×C151—21no—
215C2×C8×C151—81no—
216C4⋊C4×C151—22no—
217C4⋊C4×C151—22no—
218C4⋊C4×C151—21no—
219C4⋊C4×C151—21no—
220C4⋊C4×C151—21no—
221C4⋊C4×C151—21no—
222C4⋊C4×C151—21no—
223C4⋊C4×C151—21no—
224C4⋊C4×C151—21no—
225C4⋊C4×C151—44no—
226C4⋊C4×C151C2×D412yes—
227C4⋊C4×C151C2×D411yescharacteristic
228C4⋊C4×C151C2×D411yescharacteristic
229C22⋊C4×C151—22no—
230C22⋊C4×C151—22no—
231C22⋊C4×C151—22no—
232C22⋊C4×C151—22no—
233C22⋊C4×C151—22no—
234C22⋊C4×C151—21no—
235C22⋊C4×C151—21no—
236C22⋊C4×C151—21no—
237C22⋊C4×C151—22no—
238C22⋊C4×C151—21no—
239C22⋊C4×C151—22no—
240C22⋊C4×C151—22no—
241C22⋊C4×C151—22no—
242C22⋊C4×C151—21no—
243C22⋊C4×C151—44no—
244C22⋊C4×C151—44no—
245C22⋊C4×C151—41no—
246C22⋊C4×C151—41no—
247C42×C151—22no—
248C42×C151—21no—
249C23×C151—21no—
250C23×C151—21no—
251C23×C151—22no—
252C23×C151—22no—
253C23×C151—21no—
254C23×C151—22no—
255C23×C151—22no—
256C23×C151—22no—
257C23×C151—41no—
258C23×C151—42no—
259C23×C151—42no—
260C23×C151—42no—
261C23×C151—42no—
262C23×C151—42no—
263C23×C151—41no—
264C23×C151—41no—
265C23×C151—41no—
266C23×C151—81no—
267C23×C151—81no—
268C23×C151—82no—
269C23×C151—82no—
270C23×C151—82no—
271C23×C151#12011yescharacteristic
272C23×C151#12011yescharacteristic
273C23×C151C22×D411yescharacteristic
274Q8×C151—41no—
275D4×C151—41no—
276D4×C151—42no—
277D4×C151—42no—
278D4×C151—42no—
279D4×C151—42no—
280D4×C151—41no—
281D4×C151—41no—
282D4×C151—42no—
283D4×C151—41no—
284D4×C151—42no—
285D4×C151—41no—
286D4×C151—44no—
287D4×C151—42no—
288D4×C151—81no—
289D4×C151—81no—
290D4×C151—82no—
291D4×C151—82no—
292D4×C151—82no—
293D4×C151—82no—
294D4×C151—82no—
295D4×C151—82no—
296D4×C151—82no—
297D4×C151—88no—
298D4×C151—82no—
299D4×C151—82no—
300C2×C4×C151—24no—
301C2×C4×C151—21no—
302C2×C4×C151—22no—
303C2×C4×C151—22no—
304C2×C4×C151—21no—
305C2×C4×C151—21no—
306C2×C4×C151—41no—
307C2×C4×C151—41no—
308C2×C4×C151—41no—
309C2×C4×C151—41no—
310C2×C4×C151—41no—
311C2×C4×C151—41no—
312C2×C4×C151—42no—
313C2×C4×C151—42no—
314C2×C4×C151—42no—
315C2×C4×C151—42no—
316C2×C4×C151—42no—
317C2×C4×C151—41no—
318C2×C4×C151—81no—
319C2×C4×C151—84no—
320C2×C4×C151—82no—
321C2×C4×C151—82no—
322C2×C4×C151#12011yescharacteristic
323C2×C4×C151#12011yescharacteristic
324C2×C4×C151C22×D411yescharacteristic
325C2×C4×C151C22×D411yescharacteristic
326C8×C151—41no—
327C8×C151—41no—
328C8×C151—42no—
329C22×C151—21no—
330C22×C151—21no—
331C22×C151—21no—
332C22×C151—21no—
333C22×C151—21no—
334C22×C151—21no—
335C22×C151—21no—
336C22×C151—42no—
337C22×C151—42no—
338C22×C151—42no—
339C22×C151—42no—
340C22×C151—41no—
341C22×C151—42no—
342C22×C151—42no—
343C22×C151—41no—
344C22×C151—41no—
345C22×C151—42no—
346C22×C151—42no—
347C22×C151—82no—
348C22×C151—82no—
349C22×C151—82no—
350C22×C151—82no—
351C22×C151—81no—
352C22×C151—81no—
353C22×C151—81no—
354C22×C151—162no—
355C22×C151—164no—
356C22×C151#45312yes—
357C22×C151C2×#12011yescharacteristic
358C22×C151#57611yescharacteristic
359C22×C151#57711yescharacteristic
360C4×C151—21no—
361C4×C151—21no—
362C4×C151—21no—
363C4×C151—21no—
364C4×C151—44no—
365C4×C151—42no—
366C4×C151—41no—
367C4×C151—42no—
368C4×C151—41no—
369C4×C151—41no—
370C4×C151—81no—
371C2×C151—21no—
372C2×C151—21no—
373C2×C151—22no—
374C2×C151—41no—
375C2×C151—82no—
376C2×C151—82no—
377C2×C151—81no—
378C2×C151—161no—
379C2×C151#301211yescharacteristic
380C2×C151C2×#45311yescharacteristic
381C2×C151#302611yescharacteristic
382#18418C15111yesmaximal, characteristic, direct product factor, Sylow
383C151#1841811yescharacteristic, direct product factor, Sylow
384#3537C2×C15111yescharacteristic, complemented
385#3192C2×C15111yescharacteristic, complemented
386#3188C2×C15111yescharacteristic, complemented
387#2656C2×C15111yescharacteristic, complemented
388#1618C2×C15112yescomplemented
389#1613C2×C15112yescomplemented
390#1600C2×C15112yescomplemented
391#1595C2×C15112yescomplemented
392#1504C2×C15111yescharacteristic, complemented
393C2×#327C2×C15111yescharacteristic, complemented
394#1471C2×C15111yescharacteristic, complemented
395#560—22no—
396#553—21no—
397#553—21no—
398D42—22no—
399D42—21no—
400D42—21no—
401#540—21no—
402#538—21no—
403#538C22×C15112yes—
404#535—21no—
405#534—21no—
406#534C22×C15112yes—
407#525C22×C15111yescharacteristic
408C2×#121—22no—
409C2×#121C22×C15111yescharacteristic
410C2×#121C22×C15111yescharacteristic
411C2×#121C22×C15111yescharacteristic, complemented
412#484C22×C15111yescharacteristic, complemented
413#482—21no—
414#481—21no—
415#481C22×C15111yescharacteristic, complemented
416#481C22×C15112yescomplemented
417#469—22no—
418#466—21no—
419#465—21no—
420#450C22×C15111yescharacteristic, complemented
421#449—21no—
422#447—21no—
423#447C22×C15111yescharacteristic, complemented
424#447C22×C15112yescomplemented
425#407C22×C15111yescharacteristic, complemented
426C2×C22⋊C8C22×C15111yescharacteristic, complemented
427#399—21no—
428#399C22×C15112yescomplemented
429#392—21no—
430#392C22×C15112yescomplemented
431C2×#95C22×C15111yescharacteristic, complemented
432#328C22×C15112yescomplemented
433#327C22×C15112yescomplemented
434#327C22×C15112yescomplemented
435#327C22×C15112yescomplemented
436#323C22×C15112yescomplemented
437#323C22×C15112yescomplemented
438C2×#41D4×C15111yescharacteristic, complemented
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4—22no—
443C22×D4—21no—
444C22×D4—22no—
445C22×D4D4×C15112yes—
446C22×D4D4×C15111yescharacteristic
447C22×D4D4×C15111yescharacteristic, complemented
448C22×D4C23×C15111yescharacteristic
449C23×C4—21no—
450C23×C4C23×C15111yescharacteristic
451C2×SD16—21no—
452C2×D8—22no—
453C2×D8—21no—
454C2×M16—21no—
455C22×C8—21no—
456#127—22no—
457#127—21no—
458#126—22no—
459#126—22no—
460#125—21no—
461#124—22no—
462#123—22no—
463#123—21no—
464#123—22no—
465#123—22no—
466#123—22no—
467C22⋊Q8D4×C15111yescharacteristic, complemented
468C22⋊Q8C23×C15111yescharacteristic
469#121—22no—
470#121—21no—
471#121—21no—
472#121—22no—
473#121—22no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—21no—
478#121—21no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—22no—
483#121—21no—
484#121—21no—
485#121—21no—
486#121—21no—
487#121—48no—
488#121D4×C15112yescomplemented
489#121D4×C15111yescharacteristic, complemented
490#121C23×C15112yes—
491#121C23×C15111yescharacteristic
492#120—22no—
493#120—22no—
494#120—22no—
495#120—21no—
496#120—22no—
497#120—22no—
498#120—22no—
499C4×D4—22no—
500C4×D4—21no—
501C4×D4—21no—
502C4×D4—21no—
503C4×D4—21no—
504C4×D4—22no—
505#117—21no—
506#117D4×C15111yescharacteristic, complemented
507C2×C4⋊C4—22no—
508C2×C4⋊C4D4×C15111yescharacteristic
509C2×C4⋊C4D4×C15111yescharacteristic, complemented
510C2×C4⋊C4C23×C15111yescharacteristic
511C2×C22⋊C4—21no—
512C2×C22⋊C4—22no—
513C2×C22⋊C4—22no—
514C2×C22⋊C4—21no—
515C2×C22⋊C4C23×C15112yes—
516#107—21no—
517#106—21no—
518#106—22no—
519#103—21no—
520#102—22no—
521#102—21no—
522#102—21no—
523#102—22no—
524#102—21no—
525C22⋊C8—21no—
526C22⋊C8—21no—
527C22⋊C8C23×C15111yescharacteristic
528C22⋊C8C23×C15111yescharacteristic
529C22⋊C8C23×C15112yes—
530#95—21no—
531#95C23×C15112yes—
532C24—22no—
533C24—21no—
534C24—21no—
535C24C2×D4×C15111yescharacteristic
536C24C2×D4×C15112yes—
537#41—81no—
538C2×Q8C2×D4×C15111yescharacteristic
539C2×D4—22no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—44no—
557C2×D4—44no—
558C2×D4—44no—
559C2×D4—41no—
560C2×D4—41no—
561C2×D4—81no—
562C2×D4—81no—
563C2×D4—82no—
564C2×D4—81no—
565C2×D4—82no—
566C2×D4—82no—
567C2×D4—81no—
568C2×D4—81no—
569C2×D4—82no—
570C2×D4—82no—
571C2×D4—84no—
572C2×D4C2×D4×C15111yescharacteristic
573C2×D4C2×D4×C15112yes—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—24no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—81no—
582C22×C4—81no—
583C22×C4—81no—
584C22×C4C2×D4×C15112yes—
585C22×C4C2×D4×C15111yescharacteristic
586C22×C4C2×D4×C15111yescharacteristic
587C22×C4C2×D4×C15111yescharacteristic
588C22×C4C2×D4×C15111yescharacteristic
589C22×C4C2×D4×C15111yescharacteristic
590C22×C4C24×C15111yescharacteristic
591SD16—81no—
592D8—81no—
593D8—82no—
594M16—81no—
595C2×C8—21no—
596C2×C8—22no—
597C2×C8—21no—
598C2×C8—81no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C4⋊C4—44no—
609C4⋊C4C2×D4×C15112yes—
610C4⋊C4C2×D4×C15111yescharacteristic
611C4⋊C4C2×D4×C15111yescharacteristic
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—21no—
626C22⋊C4—44no—
627C22⋊C4—44no—
628C22⋊C4—41no—
629C22⋊C4—41no—
630C42—22no—
631C42—21no—
632C23—22no—
633C23—21no—
634C23—21no—
635C23—22no—
636C23—22no—
637C23—21no—
638C23—22no—
639C23—22no—
640C23—41no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—41no—
647C23—41no—
648C23—41no—
649C23—81no—
650C23—81no—
651C23—82no—
652C23—82no—
653C23—82no—
654C23#120×C15111yescharacteristic
655C23#120×C15111yescharacteristic
656C23C22×D4×C15111yescharacteristic
657Q8—41no—
658D4—42no—
659D4—41no—
660D4—42no—
661D4—42no—
662D4—42no—
663D4—41no—
664D4—41no—
665D4—44no—
666D4—42no—
667D4—42no—
668D4—41no—
669D4—42no—
670D4—41no—
671D4—81no—
672D4—82no—
673D4—82no—
674D4—81no—
675D4—82no—
676D4—82no—
677D4—82no—
678D4—82no—
679D4—82no—
680D4—88no—
681D4—82no—
682D4—82no—
683C2×C4—24no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—81no—
702C2×C4—84no—
703C2×C4—82no—
704C2×C4—82no—
705C2×C4#120×C15111yescharacteristic
706C2×C4#120×C15111yescharacteristic
707C2×C4C22×D4×C15111yescharacteristic
708C2×C4C22×D4×C15111yescharacteristic
709C8—41no—
710C8—41no—
711C8—42no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—42no—
726C22—41no—
727C22—41no—
728C22—42no—
729C22—42no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22—162no—
738C22—164no—
739C22#453×C15112yes—
740C22C2×#120×C15111yescharacteristic
741C22#576×C15111yescharacteristic
742C22#577×C15111yescharacteristic
743C4—21no—
744C4—21no—
745C4—21no—
746C4—21no—
747C4—44no—
748C4—42no—
749C4—41no—
750C4—42no—
751C4—41no—
752C4—41no—
753C4—81no—
754C2—21no—
755C2—21no—
756C2—22no—
757C2—41no—
758C2—82no—
759C2—82no—
760C2—81no—
761C2—161no—
762C2#3012×C15111yescharacteristic
763C2C2×#453×C15111yescharacteristic
764C2#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. #3537×C151C2semidirect
2. #3192×C151C2semidirect
3. #3188×C151C2semidirect
4. #2656×C151C2semidirect
5. #1618×C151C2semidirect
6. #1613×C151C2semidirect
7. #1600×C151C2semidirect
8. #1595×C151C2semidirect
9. #1504×C151C2semidirect
10. C2×#327×C151C2semidirect
11. #1471×C151C2semidirect
28. C2×#121×C151C22semidirect
29. #484×C151C22semidirect
32. #481×C151C22semidirect
33. #481×C151C22semidirect
37. #450×C151C22semidirect
40. #447×C151C22semidirect
41. #447×C151C22semidirect
42. #407×C151C22semidirect
43. C2×C22⋊C8×C151C22semidirect
45. #399×C151C22semidirect
47. #392×C151C22semidirect
48. C2×#95×C151C22semidirect
49. #328×C151C22semidirect
50. #327×C151C22semidirect
51. #327×C151C22semidirect
52. #327×C151C22semidirect
53. #323×C151C22semidirect
54. #323×C151C22semidirect
55. C2×#41×C151D4semidirect
64. C22×D4×C151D4semidirect
84. C22⋊Q8×C151D4semidirect
105. #121×C151D4semidirect
106. #121×C151D4semidirect
123. #117×C151D4semidirect
126. C2×C4⋊C4×C151D4semidirect
382. #18418C151direct (N × H)
383. C151#18418direct (N × H)
384. #3537C2×C151semidirect
385. #3192C2×C151semidirect
386. #3188C2×C151semidirect
387. #2656C2×C151semidirect
388. #1618C2×C151semidirect
389. #1613C2×C151semidirect
390. #1600C2×C151semidirect
391. #1595C2×C151semidirect
392. #1504C2×C151semidirect
393. C2×#327C2×C151semidirect
394. #1471C2×C151semidirect
411. C2×#121C22×C151semidirect
412. #484C22×C151semidirect
415. #481C22×C151semidirect
416. #481C22×C151semidirect
420. #450C22×C151semidirect
423. #447C22×C151semidirect
424. #447C22×C151semidirect
425. #407C22×C151semidirect
426. C2×C22⋊C8C22×C151semidirect
428. #399C22×C151semidirect
430. #392C22×C151semidirect
431. C2×#95C22×C151semidirect
432. #328C22×C151semidirect
433. #327C22×C151semidirect
434. #327C22×C151semidirect
435. #327C22×C151semidirect
436. #323C22×C151semidirect
437. #323C22×C151semidirect
438. C2×#41D4×C151semidirect
447. C22×D4D4×C151semidirect
467. C22⋊Q8D4×C151semidirect
488. #121D4×C151semidirect
489. #121D4×C151semidirect
506. #117D4×C151semidirect
509. C2×C4⋊C4D4×C151semidirect

Maximal subgroups

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

subgroupindex
#3537×C1512
#3192×C1512
#3188×C1512
#2656×C1512
#1618×C1512
#1613×C1512
#1600×C1512
#1595×C1512
#1504×C1512
C2×#327×C1512
#1471×C1512
#18418151