Finite Group Databasebeta

← C151×#19755 #50324680

Subgroups — C151×#19755 #50324680

Order 38656.

842 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3294×C151C211yesmaximal, characteristic, complemented
2D4×D8×C151C211yesmaximal, characteristic, complemented
3D4×D8×C151C211yesmaximal, characteristic, complemented
4#3272×C151C211yesmaximal, characteristic, complemented
5#1721×C151C211yesmaximal, characteristic, complemented
6#1687×C151C211yesmaximal, characteristic, complemented
7#1681×C151C211yesmaximal, characteristic, complemented
8#1667×C151C211yesmaximal, characteristic, complemented
9#1665×C151C211yesmaximal, characteristic, complemented
10#1639×C151C211yesmaximal, characteristic, complemented
11#1625×C151C211yesmaximal, characteristic, complemented
12#1619×C151C211yesmaximal, characteristic, complemented
13#1619×C151C211yesmaximal, characteristic, complemented
14#1581×C151C211yesmaximal, characteristic, complemented
15#1580×C151C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C151—21no—
17C22×D8×C151—21no—
18C22×D8×C151—21no—
19#547×C151C2211yescharacteristic, complemented
20D42×C151C2211yescharacteristic
21D42×C151C2211yescharacteristic, complemented
22D42×C151C2211yescharacteristic, complemented
23#493×C151C2211yescharacteristic, complemented
24#493×C151C2211yescharacteristic, complemented
25#493×C151C2211yescharacteristic, complemented
26#492×C151C2211yescharacteristic, complemented
27#486×C151C2211yescharacteristic, complemented
28#486×C151C2211yescharacteristic, complemented
29#480×C151—21no—
30#474×C151C2211yescharacteristic, complemented
31#468×C151—21no—
32#466×C151—21no—
33#466×C151—21no—
34#466×C151—21no—
35#461×C151C2211yescharacteristic, complemented
36#459×C151C2211yescharacteristic
37#459×C151C2211yescharacteristic
38#459×C151C2211yescharacteristic, complemented
39#459×C151C2211yescharacteristic, complemented
40#459×C151C2211yescharacteristic, complemented
41#459×C151C2211yescharacteristic, complemented
42#450×C151—21no—
43#449×C151—21no—
44#447×C151—21no—
45#447×C151—21no—
46#447×C151—21no—
47#447×C151—21no—
48#447×C151—21no—
49C4×D8×C151C2211yescharacteristic
50C4×D8×C151C2211yescharacteristic
51#436×C151C2211yescharacteristic, complemented
52C8×D4×C151C2211yescharacteristic, complemented
53C8×D4×C151C2211yescharacteristic, complemented
54C8×D4×C151C2211yescharacteristic, complemented
55C2×#102×C151—21no—
56#335×C151C2211yescharacteristic, complemented
57#334×C151C2211yescharacteristic, complemented
58#332×C151C2211yescharacteristic, complemented
59#331×C151C2211yescharacteristic, complemented
60#331×C151C2211yescharacteristic, complemented
61#331×C151C2211yescharacteristic, complemented
62D4⋊C8×C151C2211yescharacteristic, complemented
63D4⋊C8×C151C2211yescharacteristic, complemented
64D4⋊C8×C151C2211yescharacteristic, complemented
65D4⋊C8×C151C2211yescharacteristic, complemented
66#322×C151C2211yescharacteristic, complemented
67C2×#41×C151—21no—
68C22×D4×C151—21no—
69C22×D4×C151—21no—
70C22×D4×C151—21no—
71C22×D4×C151—21no—
72C22×D4×C151—21no—
73C22×D4×C151—21no—
74AGL(1,ℤ/8)×C151—44no—
75C2×SD16×C151—21no—
76C2×SD16×C151—21no—
77C2×SD16×C151—21no—
78C2×D8×C151—21no—
79C2×D8×C151—21no—
80C2×D8×C151—21no—
81C2×D8×C151—21no—
82C2×D8×C151—21no—
83C2×D8×C151—21no—
84C2×D8×C151—21no—
85C2×D8×C151—21no—
86C2×D8×C151—21no—
87C2×D8×C151—21no—
88C2×D8×C151—41no—
89C2×D8×C151—44no—
90C2×D8×C151—44no—
91C2×D8×C151D411yescharacteristic
92C2×D8×C151D411yescharacteristic
93C2×M16×C151—21no—
94C22×C8×C151—21no—
95C22×C8×C151—21no—
96C22×C8×C151—21no—
97C4⋊Q8×C151C2311yescharacteristic
98#127×C151C2311yescharacteristic
99#127×C151C2311yescharacteristic
100#127×C151C2311yescharacteristic
101#123×C151—41no—
102C22⋊Q8×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—21no—
110#120×C151—41no—
111#120×C151—41no—
112#120×C151—41no—
113C4×D4×C151C2311yescharacteristic
114C4×D4×C151C2311yescharacteristic
115C4×D4×C151C2311yescharacteristic
116C4×D4×C151C2311yescharacteristic
117C2×C4⋊C4×C151—21no—
118#107×C151—21no—
119#107×C151D411yescharacteristic
120#107×C151D411yescharacteristic
121C4⋊C8×C151C2311yescharacteristic
122C4⋊C8×C151C2311yescharacteristic
123C4⋊C8×C151C2311yescharacteristic
124C4⋊C8×C151C2311yescharacteristic
125#103×C151—21no—
126#102×C151—21no—
127#102×C151—21no—
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—41no—
136#102×C151D411yescharacteristic
137#102×C151D411yescharacteristic
138#102×C151D411yescharacteristic
139#102×C151D411yescharacteristic
140C22⋊C8×C151—21no—
141C22⋊C8×C151—21no—
142C22⋊C8×C151—21no—
143C22⋊C8×C151—21no—
144C4×C8×C151C2311yescharacteristic
145C4×C8×C151C2311yescharacteristic
146C4×C8×C151C2311yescharacteristic
147C24×C151—41no—
148C24×C151—41no—
149C24×C151—41no—
150#41×C151—42no—
151#41×C151—81no—
152C2×Q8×C151—21no—
153C2×D4×C151—21no—
154C2×D4×C151—21no—
155C2×D4×C151—21no—
156C2×D4×C151—21no—
157C2×D4×C151—21no—
158C2×D4×C151—21no—
159C2×D4×C151—21no—
160C2×D4×C151—21no—
161C2×D4×C151—21no—
162C2×D4×C151—41no—
163C2×D4×C151—41no—
164C2×D4×C151—41no—
165C2×D4×C151—41no—
166C2×D4×C151—41no—
167C2×D4×C151—41no—
168C2×D4×C151—42no—
169C2×D4×C151—42no—
170C2×D4×C151—42no—
171C2×D4×C151—42no—
172C2×D4×C151—42no—
173C2×D4×C151—42no—
174C2×D4×C151—41no—
175C2×D4×C151—81no—
176C2×D4×C151—81no—
177C2×D4×C151—81no—
178C2×D4×C151—81no—
179C2×D4×C151—81no—
180C2×D4×C151—81no—
181C2×D4×C151C2×D411yescharacteristic
182C2×D4×C151C2×D411yescharacteristic
183C2×D4×C151C2×D411yescharacteristic
184C2×D4×C151C2×D411yescharacteristic
185C22×C4×C151—21no—
186C22×C4×C151—21no—
187C22×C4×C151—21no—
188C22×C4×C151—21no—
189C22×C4×C151—41no—
190SD16×C151—42no—
191SD16×C151—42no—
192SD16×C151—81no—
193D8×C151—22no—
194D8×C151—42no—
195D8×C151—42no—
196D8×C151—42no—
197D8×C151—42no—
198D8×C151—42no—
199D8×C151—42no—
200D8×C151—42no—
201D8×C151—81no—
202D8×C151—81no—
203D8×C151—81no—
204D8×C151—82no—
205D8×C151D814yescomplemented
206M16×C151—42no—
207C2×C8×C151—21no—
208C2×C8×C151—21no—
209C2×C8×C151—21no—
210C2×C8×C151—21no—
211C2×C8×C151—21no—
212C2×C8×C151—42no—
213C2×C8×C151—42no—
214C2×C8×C151—81no—
215C2×C8×C151C2×D411yescharacteristic
216C2×C8×C151C2×D411yescharacteristic
217C2×C8×C151C2×D411yescharacteristic
218C2×C8×C151C2×D411yescharacteristic
219C4⋊C4×C151—21no—
220C4⋊C4×C151—21no—
221C4⋊C4×C151—41no—
222C4⋊C4×C151C2×D411yescharacteristic
223C4⋊C4×C151C2×D411yescharacteristic
224C4⋊C4×C151C2×D411yescharacteristic
225C4⋊C4×C151C2×D411yescharacteristic
226C22⋊C4×C151—21no—
227C22⋊C4×C151—21no—
228C22⋊C4×C151—21no—
229C22⋊C4×C151—21no—
230C22⋊C4×C151—41no—
231C22⋊C4×C151—41no—
232C22⋊C4×C151—41no—
233C22⋊C4×C151—41no—
234C42×C151C2411yescharacteristic
235C23×C151—21no—
236C23×C151—21no—
237C23×C151—21no—
238C23×C151—21no—
239C23×C151—41no—
240C23×C151—41no—
241C23×C151—41no—
242C23×C151—82no—
243C23×C151—82no—
244C23×C151—82no—
245C23×C151—82no—
246C23×C151—82no—
247C23×C151—82no—
248C23×C151—161no—
249C23×C151—161no—
250C23×C151—161no—
251Q8×C151—41no—
252Q8×C151—41no—
253D4×C151—21no—
254D4×C151—21no—
255D4×C151—21no—
256D4×C151—21no—
257D4×C151—21no—
258D4×C151—41no—
259D4×C151—41no—
260D4×C151—41no—
261D4×C151—41no—
262D4×C151—41no—
263D4×C151—41no—
264D4×C151—41no—
265D4×C151—41no—
266D4×C151—41no—
267D4×C151—41no—
268D4×C151—41no—
269D4×C151—41no—
270D4×C151—81no—
271D4×C151—81no—
272D4×C151—81no—
273D4×C151—82no—
274D4×C151—82no—
275D4×C151—82no—
276D4×C151—82no—
277D4×C151—82no—
278D4×C151—82no—
279D4×C151—82no—
280D4×C151C2×D812yes—
281D4×C151C2×D812yescomplemented
282D4×C151AGL(1,ℤ/8)12yescomplemented
283C2×C4×C151—21no—
284C2×C4×C151—21no—
285C2×C4×C151—21no—
286C2×C4×C151—21no—
287C2×C4×C151—41no—
288C2×C4×C151—41no—
289C2×C4×C151—41no—
290C2×C4×C151—41no—
291C2×C4×C151—41no—
292C2×C4×C151—41no—
293C2×C4×C151—41no—
294C2×C4×C151—41no—
295C2×C4×C151—41no—
296C2×C4×C151—82no—
297C2×C4×C151C22×D411yescharacteristic
298C2×C4×C151C22×D411yescharacteristic
299C2×C4×C151H(5,𝔽2)11yescharacteristic
300C8×C151—21no—
301C8×C151—21no—
302C8×C151—21no—
303C8×C151—41no—
304C8×C151—41no—
305C8×C151—41no—
306C8×C151—41no—
307C8×C151—41no—
308C8×C151C2×D812yescomplemented
309C22×C151—22no—
310C22×C151—22no—
311C22×C151—22no—
312C22×C151—41no—
313C22×C151—41no—
314C22×C151—41no—
315C22×C151—41no—
316C22×C151—41no—
317C22×C151—41no—
318C22×C151—41no—
319C22×C151—41no—
320C22×C151—41no—
321C22×C151—81no—
322C22×C151—81no—
323C22×C151—81no—
324C22×C151—81no—
325C22×C151—81no—
326C22×C151—81no—
327C22×C151—81no—
328C22×C151—81no—
329C22×C151—81no—
330C22×C151—164no—
331C22×C151—164no—
332C22×C151—164no—
333C22×C151D4211yescharacteristic
334C4×C151—21no—
335C4×C151—41no—
336C4×C151—41no—
337C4×C151—41no—
338C4×C151—41no—
339C4×C151—81no—
340C4×C151C22×D811yescharacteristic
341C4×C151C2×AGL(1,ℤ/8)11yescharacteristic
342C4×C151#57611yescharacteristic
343C4×C151#57611yescharacteristic
344C2×C151—42no—
345C2×C151—42no—
346C2×C151—42no—
347C2×C151—81no—
348C2×C151—161no—
349C2×C151—161no—
350C2×C151—161no—
351C2×C151#326411yescharacteristic
352C2×C151D4×D811yescharacteristic
353C2×C151#328811yescharacteristic
354#19755C15111yesmaximal, characteristic, direct product factor, Sylow
355C151#1975511yescharacteristic, direct product factor, Sylow
356#3294C2×C15111yescharacteristic, complemented
357D4×D8C2×C15111yescharacteristic, complemented
358D4×D8C2×C15111yescharacteristic, complemented
359#3272C2×C15111yescharacteristic, complemented
360#1721C2×C15111yescharacteristic, complemented
361#1687C2×C15111yescharacteristic, complemented
362#1681C2×C15111yescharacteristic, complemented
363#1667C2×C15111yescharacteristic, complemented
364#1665C2×C15111yescharacteristic, complemented
365#1639C2×C15111yescharacteristic, complemented
366#1625C2×C15111yescharacteristic, complemented
367#1619C2×C15111yescharacteristic, complemented
368#1619C2×C15111yescharacteristic, complemented
369#1581C2×C15111yescharacteristic, complemented
370#1580C2×C15111yescharacteristic, complemented
371C2×AGL(1,ℤ/8)—21no—
372C22×D8—21no—
373C22×D8—21no—
374#547C22×C15111yescharacteristic, complemented
375D42C22×C15111yescharacteristic
376D42C22×C15111yescharacteristic, complemented
377D42C22×C15111yescharacteristic, complemented
378#493C22×C15111yescharacteristic, complemented
379#493C22×C15111yescharacteristic, complemented
380#493C22×C15111yescharacteristic, complemented
381#492C22×C15111yescharacteristic, complemented
382#486C22×C15111yescharacteristic, complemented
383#486C22×C15111yescharacteristic, complemented
384#480—21no—
385#474C22×C15111yescharacteristic, complemented
386#468—21no—
387#466—21no—
388#466—21no—
389#466—21no—
390#461C22×C15111yescharacteristic, complemented
391#459C22×C15111yescharacteristic
392#459C22×C15111yescharacteristic
393#459C22×C15111yescharacteristic, complemented
394#459C22×C15111yescharacteristic, complemented
395#459C22×C15111yescharacteristic, complemented
396#459C22×C15111yescharacteristic, complemented
397#450—21no—
398#449—21no—
399#447—21no—
400#447—21no—
401#447—21no—
402#447—21no—
403#447—21no—
404C4×D8C22×C15111yescharacteristic
405C4×D8C22×C15111yescharacteristic
406#436C22×C15111yescharacteristic, complemented
407C8×D4C22×C15111yescharacteristic, complemented
408C8×D4C22×C15111yescharacteristic, complemented
409C8×D4C22×C15111yescharacteristic, complemented
410C2×#102—21no—
411#335C22×C15111yescharacteristic, complemented
412#334C22×C15111yescharacteristic, complemented
413#332C22×C15111yescharacteristic, complemented
414#331C22×C15111yescharacteristic, complemented
415#331C22×C15111yescharacteristic, complemented
416#331C22×C15111yescharacteristic, complemented
417D4⋊C8C22×C15111yescharacteristic, complemented
418D4⋊C8C22×C15111yescharacteristic, complemented
419D4⋊C8C22×C15111yescharacteristic, complemented
420D4⋊C8C22×C15111yescharacteristic, complemented
421#322C22×C15111yescharacteristic, complemented
422C2×#41—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—21no—
428C22×D4—21no—
429AGL(1,ℤ/8)—44no—
430C2×SD16—21no—
431C2×SD16—21no—
432C2×SD16—21no—
433C2×D8—21no—
434C2×D8—21no—
435C2×D8—21no—
436C2×D8—21no—
437C2×D8—21no—
438C2×D8—21no—
439C2×D8—21no—
440C2×D8—21no—
441C2×D8—21no—
442C2×D8—21no—
443C2×D8—41no—
444C2×D8—44no—
445C2×D8—44no—
446C2×D8D4×C15111yescharacteristic
447C2×D8D4×C15111yescharacteristic
448C2×M16—21no—
449C22×C8—21no—
450C22×C8—21no—
451C22×C8—21no—
452C4⋊Q8C23×C15111yescharacteristic
453#127C23×C15111yescharacteristic
454#127C23×C15111yescharacteristic
455#127C23×C15111yescharacteristic
456#123—41no—
457C22⋊Q8—21no—
458#121—21no—
459#121—21no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#120—41no—
466#120—41no—
467#120—41no—
468C4×D4C23×C15111yescharacteristic
469C4×D4C23×C15111yescharacteristic
470C4×D4C23×C15111yescharacteristic
471C4×D4C23×C15111yescharacteristic
472C2×C4⋊C4—21no—
473#107—21no—
474#107D4×C15111yescharacteristic
475#107D4×C15111yescharacteristic
476C4⋊C8C23×C15111yescharacteristic
477C4⋊C8C23×C15111yescharacteristic
478C4⋊C8C23×C15111yescharacteristic
479C4⋊C8C23×C15111yescharacteristic
480#103—21no—
481#102—21no—
482#102—21no—
483#102—21no—
484#102—21no—
485#102—21no—
486#102—21no—
487#102—21no—
488#102—21no—
489#102—21no—
490#102—41no—
491#102D4×C15111yescharacteristic
492#102D4×C15111yescharacteristic
493#102D4×C15111yescharacteristic
494#102D4×C15111yescharacteristic
495C22⋊C8—21no—
496C22⋊C8—21no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C4×C8C23×C15111yescharacteristic
500C4×C8C23×C15111yescharacteristic
501C4×C8C23×C15111yescharacteristic
502C24—41no—
503C24—41no—
504C24—41no—
505#41—42no—
506#41—81no—
507C2×Q8—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—41no—
518C2×D4—41no—
519C2×D4—41no—
520C2×D4—41no—
521C2×D4—41no—
522C2×D4—41no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4—41no—
530C2×D4—81no—
531C2×D4—81no—
532C2×D4—81no—
533C2×D4—81no—
534C2×D4—81no—
535C2×D4—81no—
536C2×D4C2×D4×C15111yescharacteristic
537C2×D4C2×D4×C15111yescharacteristic
538C2×D4C2×D4×C15111yescharacteristic
539C2×D4C2×D4×C15111yescharacteristic
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—41no—
545SD16—42no—
546SD16—42no—
547SD16—81no—
548D8—22no—
549D8—42no—
550D8—42no—
551D8—42no—
552D8—42no—
553D8—42no—
554D8—42no—
555D8—42no—
556D8—81no—
557D8—81no—
558D8—81no—
559D8—82no—
560D8D8×C15114yescomplemented
561M16—42no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—42no—
568C2×C8—42no—
569C2×C8—81no—
570C2×C8C2×D4×C15111yescharacteristic
571C2×C8C2×D4×C15111yescharacteristic
572C2×C8C2×D4×C15111yescharacteristic
573C2×C8C2×D4×C15111yescharacteristic
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—41no—
577C4⋊C4C2×D4×C15111yescharacteristic
578C4⋊C4C2×D4×C15111yescharacteristic
579C4⋊C4C2×D4×C15111yescharacteristic
580C4⋊C4C2×D4×C15111yescharacteristic
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C42C24×C15111yescharacteristic
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—82no—
598C23—82no—
599C23—82no—
600C23—82no—
601C23—82no—
602C23—82no—
603C23—161no—
604C23—161no—
605C23—161no—
606Q8—41no—
607Q8—41no—
608D4—21no—
609D4—21no—
610D4—21no—
611D4—21no—
612D4—21no—
613D4—41no—
614D4—41no—
615D4—41no—
616D4—41no—
617D4—41no—
618D4—41no—
619D4—41no—
620D4—41no—
621D4—41no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—81no—
626D4—81no—
627D4—81no—
628D4—82no—
629D4—82no—
630D4—82no—
631D4—82no—
632D4—82no—
633D4—82no—
634D4—82no—
635D4C2×D8×C15112yes—
636D4C2×D8×C15112yescomplemented
637D4AGL(1,ℤ/8)×C15112yescomplemented
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—82no—
652C2×C4C22×D4×C15111yescharacteristic
653C2×C4C22×D4×C15111yescharacteristic
654C2×C4H(5,𝔽2)×C15111yescharacteristic
655C8—21no—
656C8—21no—
657C8—21no—
658C8—41no—
659C8—41no—
660C8—41no—
661C8—41no—
662C8—41no—
663C8C2×D8×C15112yescomplemented
664C22—22no—
665C22—22no—
666C22—22no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—164no—
686C22—164no—
687C22—164no—
688C22D42×C15111yescharacteristic
689C4—21no—
690C4—41no—
691C4—41no—
692C4—41no—
693C4—41no—
694C4—81no—
695C4C22×D8×C15111yescharacteristic
696C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
697C4#576×C15111yescharacteristic
698C4#576×C15111yescharacteristic
699C2—42no—
700C2—42no—
701C2—42no—
702C2—81no—
703C2—161no—
704C2—161no—
705C2—161no—
706C2#3264×C15111yescharacteristic
707C2D4×D8×C15111yescharacteristic
708C2#3288×C15111yescharacteristic
subgroupG/H
center, socleC22×C151D42
commutator, Frattini, cosocleC42C24×C151
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. #3294×C151C2semidirect
2. D4×D8×C151C2semidirect
3. D4×D8×C151C2semidirect
4. #3272×C151C2semidirect
5. #1721×C151C2semidirect
6. #1687×C151C2semidirect
7. #1681×C151C2semidirect
8. #1667×C151C2semidirect
9. #1665×C151C2semidirect
10. #1639×C151C2semidirect
11. #1625×C151C2semidirect
12. #1619×C151C2semidirect
13. #1619×C151C2semidirect
14. #1581×C151C2semidirect
15. #1580×C151C2semidirect
19. #547×C151C22semidirect
21. D42×C151C22semidirect
22. D42×C151C22semidirect
23. #493×C151C22semidirect
24. #493×C151C22semidirect
25. #493×C151C22semidirect
26. #492×C151C22semidirect
27. #486×C151C22semidirect
28. #486×C151C22semidirect
30. #474×C151C22semidirect
35. #461×C151C22semidirect
38. #459×C151C22semidirect
39. #459×C151C22semidirect
40. #459×C151C22semidirect
41. #459×C151C22semidirect
51. #436×C151C22semidirect
52. C8×D4×C151C22semidirect
53. C8×D4×C151C22semidirect
54. C8×D4×C151C22semidirect
56. #335×C151C22semidirect
57. #334×C151C22semidirect
58. #332×C151C22semidirect
59. #331×C151C22semidirect
60. #331×C151C22semidirect
61. #331×C151C22semidirect
62. D4⋊C8×C151C22semidirect
63. D4⋊C8×C151C22semidirect
64. D4⋊C8×C151C22semidirect
65. D4⋊C8×C151C22semidirect
66. #322×C151C22semidirect
205. D8×C151D8semidirect
281. D4×C151C2×D8semidirect
282. D4×C151AGL(1,ℤ/8)semidirect
308. C8×C151C2×D8semidirect
354. #19755C151direct (N × H)
355. C151#19755direct (N × H)
356. #3294C2×C151semidirect
357. D4×D8C2×C151semidirect
358. D4×D8C2×C151semidirect
359. #3272C2×C151semidirect
360. #1721C2×C151semidirect
361. #1687C2×C151semidirect
362. #1681C2×C151semidirect
363. #1667C2×C151semidirect
364. #1665C2×C151semidirect
365. #1639C2×C151semidirect
366. #1625C2×C151semidirect
367. #1619C2×C151semidirect
368. #1619C2×C151semidirect
369. #1581C2×C151semidirect
370. #1580C2×C151semidirect
374. #547C22×C151semidirect
376. D42C22×C151semidirect
377. D42C22×C151semidirect
378. #493C22×C151semidirect
379. #493C22×C151semidirect
380. #493C22×C151semidirect
381. #492C22×C151semidirect
382. #486C22×C151semidirect
383. #486C22×C151semidirect
385. #474C22×C151semidirect
390. #461C22×C151semidirect
393. #459C22×C151semidirect
394. #459C22×C151semidirect
395. #459C22×C151semidirect
396. #459C22×C151semidirect
406. #436C22×C151semidirect
407. C8×D4C22×C151semidirect
408. C8×D4C22×C151semidirect
409. C8×D4C22×C151semidirect
411. #335C22×C151semidirect
412. #334C22×C151semidirect
413. #332C22×C151semidirect
414. #331C22×C151semidirect
415. #331C22×C151semidirect
416. #331C22×C151semidirect
417. D4⋊C8C22×C151semidirect
418. D4⋊C8C22×C151semidirect
419. D4⋊C8C22×C151semidirect
420. D4⋊C8C22×C151semidirect
421. #322C22×C151semidirect
560. D8D8×C151semidirect
636. D4C2×D8×C151semidirect
637. D4AGL(1,ℤ/8)×C151semidirect
663. C8C2×D8×C151semidirect

Maximal subgroups

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

subgroupindex
#3294×C1512
D4×D8×C1512
#3272×C1512
#1721×C1512
#1687×C1512
#1681×C1512
#1667×C1512
#1665×C1512
#1639×C1512
#1625×C1512
#1619×C1512
#1581×C1512
#1580×C1512
#19755151