Finite Group Databasebeta

← C151×#23097 #50328022

Subgroups — C151×#23097 #50328022

Order 38656.

858 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#464×C151C211yesmaximal, characteristic
2#2367×C151C211yesmaximal, characteristic
3#2356×C151C211yesmaximal, characteristic, complemented
4#1969×C151C211yesmaximal, characteristic, complemented
5#1968×C151C211yesmaximal, characteristic
6#1958×C151C211yesmaximal, characteristic
7#1949×C151C211yesmaximal, characteristic, complemented
8#1927×C151C211yesmaximal, characteristic, complemented
9#1925×C151C211yesmaximal, characteristic
10#1878×C151C211yesmaximal, characteristic, complemented
11#1877×C151C211yesmaximal, characteristic
12C8×C4⋊C4×C151C211yesmaximal, characteristic, complemented
13C4×#103×C151C211yesmaximal, characteristic, complemented
14C4×#103×C151C211yesmaximal, characteristic, complemented
15C4×#102×C151C211yesmaximal, characteristic
16C22×Q16×C151C2211yescharacteristic
17C22×SD16×C151C2211yescharacteristic
18C2×#124×C151C2211yescharacteristic
19C2×C4×Q8×C151C2211yescharacteristic
20C2×C4×Q8×C151C2211yescharacteristic
21C2×C4×D4×C151C2211yescharacteristic
22#464×C151C418yescomplemented
23C2×#107×C151C2211yescharacteristic
24C2×#106×C151C2211yescharacteristic
25C2×C4⋊C8×C151C2211yescharacteristic
26C2×#103×C151C2211yescharacteristic
27C2×#103×C151C2211yescharacteristic
28C2×#103×C151C2211yescharacteristic
29C2×#103×C151C2211yescharacteristic
30C2×#103×C151C2211yescharacteristic
31C2×#102×C151C2211yescharacteristic
32C2×#102×C151C2211yescharacteristic
33C2×#102×C151C2211yescharacteristic
34C2×C4×C8×C151C2211yescharacteristic
35C2×C4×C8×C151C2211yescharacteristic
36C2×C4×C8×C151C2211yescharacteristic
37#391×C151C2211yescharacteristic
38#391×C151C2211yescharacteristic
39#391×C151C2211yescharacteristic
40#390×C151C2211yescharacteristic
41#388×C151—21no—
42#388×C151—21no—
43#387×C151—21no—
44#387×C151—21no—
45#385×C151—21no—
46#383×C151—21no—
47#382×C151C2211yescharacteristic
48C4×C4⋊C4×C151C2211yescharacteristic
49C4×C4⋊C4×C151C2211yescharacteristic
50C4×C4⋊C4×C151C2211yescharacteristic
51C4×C4⋊C4×C151C2211yescharacteristic
52C4×C22⋊C4×C151—21no—
53#376×C151—21no—
54#340×C151C2211yescharacteristic
55#340×C151C2211yescharacteristic
56#340×C151C2211yescharacteristic
57#340×C151C2211yescharacteristic
58#336×C151C2211yescharacteristic
59#336×C151C2211yescharacteristic
60C22×Q8×C151C2311yescharacteristic
61C22×Q8×C151C2311yescharacteristic
62C22×D4×C151C2311yescharacteristic
63C23×C4×C151—21no—
64C2×Q16×C151—41no—
65C2×Q16×C151—41no—
66C2×Q16×C151C2×C414yescomplemented
67C2×SD16×C151—41no—
68C2×SD16×C151—41no—
69C2×SD16×C151C2×C414yes—
70C22×C8×C151C2311yescharacteristic
71C22×C8×C151C2311yescharacteristic
72C22×C8×C151C2311yescharacteristic
73C22×C8×C151C2311yescharacteristic
74#124×C151—22no—
75#124×C151C2×C414yes—
76C4×Q8×C151—22no—
77C4×Q8×C151—22no—
78C4×Q8×C151—41no—
79C4×Q8×C151C2×C414yescomplemented
80C4×D4×C151—22no—
81C4×D4×C151—41no—
82C2×C4⋊C4×C151—21no—
83C2×C4⋊C4×C151—21no—
84C2×C4⋊C4×C151D411yescharacteristic
85C2×C4⋊C4×C151D411yescharacteristic
86C2×C4⋊C4×C151C2311yescharacteristic
87C2×C4⋊C4×C151C2311yescharacteristic
88C2×C4⋊C4×C151C2311yescharacteristic
89C2×C4⋊C4×C151C2311yescharacteristic
90C2×C4⋊C4×C151C2311yescharacteristic
91C2×C22⋊C4×C151—21no—
92C2×C22⋊C4×C151—21no—
93C2×C22⋊C4×C151—21no—
94C2×C22⋊C4×C151—21no—
95C2×C22⋊C4×C151—21no—
96C2×C42×C151—21no—
97C2×C42×C151—21no—
98C2×C42×C151—21no—
99C2×C42×C151—21no—
100C2×C42×C151—21no—
101C2×C42×C151C2311yescharacteristic
102C2×C42×C151C2311yescharacteristic
103C2×C42×C151C2311yescharacteristic
104#107×C151—41no—
105#106×C151—41no—
106C4⋊C8×C151C2×C414yescomplemented
107#103×C151—22no—
108#103×C151—22no—
109#103×C151—22no—
110#103×C151—41no—
111#103×C151C2×C414yescomplemented
112#102×C151—22no—
113#102×C151—41no—
114#102×C151C2×C414yes—
115C4×C8×C151—22no—
116C4×C8×C151—41no—
117C4×C8×C151—41no—
118#95×C151—21no—
119#95×C151—21no—
120#95×C151—21no—
121#95×C151—21no—
122#95×C151—21no—
123#95×C151—21no—
124#95×C151—21no—
125#95×C151—21no—
126#95×C151—21no—
127#95×C151—21no—
128#95×C151—21no—
129#95×C151D411yescharacteristic
130#95×C151D411yescharacteristic
131C24×C151—21no—
132C2×Q8×C151—21no—
133C2×Q8×C151—21no—
134C2×Q8×C151—21no—
135C2×Q8×C151—21no—
136C2×Q8×C151—21no—
137C2×Q8×C151—21no—
138C2×Q8×C151—21no—
139C2×Q8×C151—21no—
140C2×Q8×C151—21no—
141C2×Q8×C151—21no—
142C2×Q8×C151C22×C412yes—
143C2×Q8×C151C22×C412yes—
144C2×D4×C151—21no—
145C2×D4×C151—21no—
146C2×D4×C151—21no—
147C2×D4×C151—21no—
148C2×D4×C151—21no—
149C2×D4×C151C22×C412yes—
150C22×C4×C151—21no—
151C22×C4×C151—21no—
152C22×C4×C151—21no—
153C22×C4×C151—21no—
154C22×C4×C151—21no—
155C22×C4×C151—21no—
156C22×C4×C151—21no—
157C22×C4×C151—42no—
158C22×C4×C151—42no—
159C22×C4×C151—81no—
160C22×C4×C151C2×D411yescharacteristic
161C22×C4×C151C2×D411yescharacteristic
162C22×C4×C151C2×D411yescharacteristic
163C22×C4×C151C2×D411yescharacteristic
164C22×C4×C151C2×D411yescharacteristic
165C22×C4×C151C2×D411yescharacteristic
166C22×C4×C151C2411yescharacteristic
167Q16×C151—44no—
168SD16×C151—44no—
169C2×C8×C151—21no—
170C2×C8×C151—21no—
171C2×C8×C151—21no—
172C2×C8×C151—21no—
173C2×C8×C151—21no—
174C2×C8×C151—21no—
175C2×C8×C151—21no—
176C2×C8×C151—21no—
177C2×C8×C151—21no—
178C2×C8×C151C22×C412yes—
179C2×C8×C151C22×C412yes—
180C2×C8×C151#4112yes—
181C4⋊C4×C151—24no—
182C4⋊C4×C151—22no—
183C4⋊C4×C151—22no—
184C4⋊C4×C151—21no—
185C4⋊C4×C151—21no—
186C4⋊C4×C151—21no—
187C4⋊C4×C151—21no—
188C4⋊C4×C151—21no—
189C4⋊C4×C151—21no—
190C4⋊C4×C151—21no—
191C4⋊C4×C151—21no—
192C4⋊C4×C151—42no—
193C4⋊C4×C151C22×C412yes—
194C4⋊C4×C151#4112yes—
195C22⋊C4×C151—24no—
196C22⋊C4×C151—24no—
197C22⋊C4×C151—42no—
198C22⋊C4×C151—42no—
199C22⋊C4×C151—81no—
200C42×C151—24no—
201C42×C151—21no—
202C42×C151—21no—
203C42×C151—21no—
204C42×C151—21no—
205C42×C151—42no—
206C42×C151—42no—
207C42×C151—42no—
208C42×C151—81no—
209C42×C151C22×C412yes—
210C42×C151#4112yes—
211C23×C151—22no—
212C23×C151—41no—
213C23×C151—41no—
214C23×C151—41no—
215C23×C151—41no—
216C23×C151—41no—
217C23×C151—41no—
218C23×C151C22×D411yescharacteristic
219Q8×C151—22no—
220Q8×C151—22no—
221Q8×C151—22no—
222Q8×C151—22no—
223Q8×C151—41no—
224Q8×C151—41no—
225Q8×C151—41no—
226Q8×C151—41no—
227D4×C151—22no—
228D4×C151—22no—
229D4×C151—41no—
230D4×C151—41no—
231C2×C4×C151—21no—
232C2×C4×C151—21no—
233C2×C4×C151—21no—
234C2×C4×C151—21no—
235C2×C4×C151—21no—
236C2×C4×C151—21no—
237C2×C4×C151—21no—
238C2×C4×C151—21no—
239C2×C4×C151—22no—
240C2×C4×C151—22no—
241C2×C4×C151—22no—
242C2×C4×C151—21no—
243C2×C4×C151—21no—
244C2×C4×C151—22no—
245C2×C4×C151—21no—
246C2×C4×C151—21no—
247C2×C4×C151—21no—
248C2×C4×C151—21no—
249C2×C4×C151—41no—
250C2×C4×C151—41no—
251C2×C4×C151—41no—
252C2×C4×C151—41no—
253C2×C4×C151—41no—
254C2×C4×C151—41no—
255C2×C4×C151—41no—
256C2×C4×C151—41no—
257C2×C4×C151—41no—
258C2×C4×C151—41no—
259C2×C4×C151—41no—
260C2×C4×C151—41no—
261C2×C4×C151—41no—
262C2×C4×C151—41no—
263C2×C4×C151—41no—
264C2×C4×C151—41no—
265C2×C4×C151—41no—
266C2×C4×C151—84no—
267C2×C4×C151C4×D412yes—
268C2×C4×C151C4×D412yes—
269C2×C4×C151#13512yes—
270C2×C4×C151#13512yes—
271C2×C4×C151C23×C411yescharacteristic
272C2×C4×C151C2×#4111yescharacteristic
273C2×C4×C151C2×#4111yescharacteristic
274C2×C4×C151C2×#4111yescharacteristic
275C2×C4×C151H(5,𝔽2)11yescharacteristic
276C2×C4×C151H(5,𝔽2)11yescharacteristic
277C8×C151—22no—
278C8×C151—22no—
279C8×C151—22no—
280C8×C151—41no—
281C22×C151—42no—
282C22×C151—42no—
283C22×C151—42no—
284C22×C151—81no—
285C22×C151—81no—
286C22×C151—81no—
287C22×C151—81no—
288C22×C151C2×C4×D411yescharacteristic
289C22×C151#54611yescharacteristic
290C22×C151#55011yescharacteristic
291C22×C151C2×#13511yescharacteristic
292C22×C151C2×#13511yescharacteristic
293C22×C151#57711yescharacteristic
294C22×C151#57811yescharacteristic
295C4×C151—22no—
296C4×C151—22no—
297C4×C151—22no—
298C4×C151—22no—
299C4×C151—42no—
300C4×C151—42no—
301C4×C151—42no—
302C4×C151—41no—
303C4×C151—42no—
304C4×C151—41no—
305C4×C151—81no—
306C4×C151—81no—
307C4×C151—81no—
308C4×C151C4×#4111yescharacteristic
309C4×C151#51811yescharacteristic
310C4×C151#55311yescharacteristic
311C4×C151#55511yescharacteristic
312C2×C151—82no—
313C2×C151#236311yescharacteristic
314C2×C151C4×#13511yescharacteristic
315C2×C151#294711yescharacteristic
316C2×C151#329611yescharacteristic
317C2×C151#330011yescharacteristic
318C2×C151#339311yescharacteristic
319C2×C151#339411yescharacteristic
320#23097C15111yesmaximal, characteristic, direct product factor, Sylow
321C151#2309711yescharacteristic, direct product factor, Sylow
322C2×#464C2×C15111yescharacteristic
323#2367C2×C15111yescharacteristic
324#2356C2×C15111yescharacteristic, complemented
325#1969C2×C15111yescharacteristic, complemented
326#1968C2×C15111yescharacteristic
327#1958C2×C15111yescharacteristic
328#1949C2×C15111yescharacteristic, complemented
329#1927C2×C15111yescharacteristic, complemented
330#1925C2×C15111yescharacteristic
331#1878C2×C15111yescharacteristic, complemented
332#1877C2×C15111yescharacteristic
333C8×C4⋊C4C2×C15111yescharacteristic, complemented
334C4×#103C2×C15111yescharacteristic, complemented
335C4×#103C2×C15111yescharacteristic, complemented
336C4×#102C2×C15111yescharacteristic
337C22×Q16C22×C15111yescharacteristic
338C22×SD16C22×C15111yescharacteristic
339C2×#124C22×C15111yescharacteristic
340C2×C4×Q8C22×C15111yescharacteristic
341C2×C4×Q8C22×C15111yescharacteristic
342C2×C4×D4C22×C15111yescharacteristic
343#464C4×C15118yescomplemented
344C2×#107C22×C15111yescharacteristic
345C2×#106C22×C15111yescharacteristic
346C2×C4⋊C8C22×C15111yescharacteristic
347C2×#103C22×C15111yescharacteristic
348C2×#103C22×C15111yescharacteristic
349C2×#103C22×C15111yescharacteristic
350C2×#103C22×C15111yescharacteristic
351C2×#103C22×C15111yescharacteristic
352C2×#102C22×C15111yescharacteristic
353C2×#102C22×C15111yescharacteristic
354C2×#102C22×C15111yescharacteristic
355C2×C4×C8C22×C15111yescharacteristic
356C2×C4×C8C22×C15111yescharacteristic
357C2×C4×C8C22×C15111yescharacteristic
358#391C22×C15111yescharacteristic
359#391C22×C15111yescharacteristic
360#391C22×C15111yescharacteristic
361#390C22×C15111yescharacteristic
362#388—21no—
363#388—21no—
364#387—21no—
365#387—21no—
366#385—21no—
367#383—21no—
368#382C22×C15111yescharacteristic
369C4×C4⋊C4C22×C15111yescharacteristic
370C4×C4⋊C4C22×C15111yescharacteristic
371C4×C4⋊C4C22×C15111yescharacteristic
372C4×C4⋊C4C22×C15111yescharacteristic
373C4×C22⋊C4—21no—
374#376—21no—
375#340C22×C15111yescharacteristic
376#340C22×C15111yescharacteristic
377#340C22×C15111yescharacteristic
378#340C22×C15111yescharacteristic
379#336C22×C15111yescharacteristic
380#336C22×C15111yescharacteristic
381C22×Q8C23×C15111yescharacteristic
382C22×Q8C23×C15111yescharacteristic
383C22×D4C23×C15111yescharacteristic
384C23×C4—21no—
385C2×Q16—41no—
386C2×Q16—41no—
387C2×Q16C2×C4×C15114yescomplemented
388C2×SD16—41no—
389C2×SD16—41no—
390C2×SD16C2×C4×C15114yes—
391C22×C8C23×C15111yescharacteristic
392C22×C8C23×C15111yescharacteristic
393C22×C8C23×C15111yescharacteristic
394C22×C8C23×C15111yescharacteristic
395#124—22no—
396#124C2×C4×C15114yes—
397C4×Q8—22no—
398C4×Q8—22no—
399C4×Q8—41no—
400C4×Q8C2×C4×C15114yescomplemented
401C4×D4—22no—
402C4×D4—41no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4D4×C15111yescharacteristic
406C2×C4⋊C4D4×C15111yescharacteristic
407C2×C4⋊C4C23×C15111yescharacteristic
408C2×C4⋊C4C23×C15111yescharacteristic
409C2×C4⋊C4C23×C15111yescharacteristic
410C2×C4⋊C4C23×C15111yescharacteristic
411C2×C4⋊C4C23×C15111yescharacteristic
412C2×C22⋊C4—21no—
413C2×C22⋊C4—21no—
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C42—21no—
418C2×C42—21no—
419C2×C42—21no—
420C2×C42—21no—
421C2×C42—21no—
422C2×C42C23×C15111yescharacteristic
423C2×C42C23×C15111yescharacteristic
424C2×C42C23×C15111yescharacteristic
425#107—41no—
426#106—41no—
427C4⋊C8C2×C4×C15114yescomplemented
428#103—22no—
429#103—22no—
430#103—22no—
431#103—41no—
432#103C2×C4×C15114yescomplemented
433#102—22no—
434#102—41no—
435#102C2×C4×C15114yes—
436C4×C8—22no—
437C4×C8—41no—
438C4×C8—41no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95D4×C15111yescharacteristic
451#95D4×C15111yescharacteristic
452C24—21no—
453C2×Q8—21no—
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8C22×C4×C15112yes—
464C2×Q8C22×C4×C15112yes—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4C22×C4×C15112yes—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—81no—
481C22×C4C2×D4×C15111yescharacteristic
482C22×C4C2×D4×C15111yescharacteristic
483C22×C4C2×D4×C15111yescharacteristic
484C22×C4C2×D4×C15111yescharacteristic
485C22×C4C2×D4×C15111yescharacteristic
486C22×C4C2×D4×C15111yescharacteristic
487C22×C4C24×C15111yescharacteristic
488Q16—44no—
489SD16—44no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8C22×C4×C15112yes—
500C2×C8C22×C4×C15112yes—
501C2×C8#41×C15112yes—
502C4⋊C4—24no—
503C4⋊C4—22no—
504C4⋊C4—22no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—42no—
514C4⋊C4C22×C4×C15112yes—
515C4⋊C4#41×C15112yes—
516C22⋊C4—24no—
517C22⋊C4—24no—
518C22⋊C4—42no—
519C22⋊C4—42no—
520C22⋊C4—81no—
521C42—24no—
522C42—21no—
523C42—21no—
524C42—21no—
525C42—21no—
526C42—42no—
527C42—42no—
528C42—42no—
529C42—81no—
530C42C22×C4×C15112yes—
531C42#41×C15112yes—
532C23—22no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23—41no—
539C23C22×D4×C15111yescharacteristic
540Q8—22no—
541Q8—22no—
542Q8—22no—
543Q8—22no—
544Q8—41no—
545Q8—41no—
546Q8—41no—
547Q8—41no—
548D4—22no—
549D4—22no—
550D4—41no—
551D4—41no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—84no—
588C2×C4C4×D4×C15112yes—
589C2×C4C4×D4×C15112yes—
590C2×C4#135×C15112yes—
591C2×C4#135×C15112yes—
592C2×C4C23×C4×C15111yescharacteristic
593C2×C4C2×#41×C15111yescharacteristic
594C2×C4C2×#41×C15111yescharacteristic
595C2×C4C2×#41×C15111yescharacteristic
596C2×C4H(5,𝔽2)×C15111yescharacteristic
597C2×C4H(5,𝔽2)×C15111yescharacteristic
598C8—22no—
599C8—22no—
600C8—22no—
601C8—41no—
602C22—42no—
603C22—42no—
604C22—42no—
605C22—81no—
606C22—81no—
607C22—81no—
608C22—81no—
609C22C2×C4×D4×C15111yescharacteristic
610C22#546×C15111yescharacteristic
611C22#550×C15111yescharacteristic
612C22C2×#135×C15111yescharacteristic
613C22C2×#135×C15111yescharacteristic
614C22#577×C15111yescharacteristic
615C22#578×C15111yescharacteristic
616C4—22no—
617C4—22no—
618C4—22no—
619C4—22no—
620C4—42no—
621C4—42no—
622C4—42no—
623C4—41no—
624C4—42no—
625C4—41no—
626C4—81no—
627C4—81no—
628C4—81no—
629C4C4×#41×C15111yescharacteristic
630C4#518×C15111yescharacteristic
631C4#553×C15111yescharacteristic
632C4#555×C15111yescharacteristic
633C2—82no—
634C2#2363×C15111yescharacteristic
635C2C4×#135×C15111yescharacteristic
636C2#2947×C15111yescharacteristic
637C2#3296×C15111yescharacteristic
638C2#3300×C15111yescharacteristic
639C2#3393×C15111yescharacteristic
640C2#3394×C15111yescharacteristic
subgroupG/H
center, socleC23×C151C22×D4
commutatorC2×C4C23×C4×C151
Frattini, cosocleC22×C4C24×C151
prime radicalC22×D4×C151C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C151 ◁ C4×C4⋊C4×C151 ◁ G

Complements

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

NH ≅ G/Ntype
3. #2356×C151C2semidirect
4. #1969×C151C2semidirect
7. #1949×C151C2semidirect
8. #1927×C151C2semidirect
10. #1878×C151C2semidirect
12. C8×C4⋊C4×C151C2semidirect
13. C4×#103×C151C2semidirect
14. C4×#103×C151C2semidirect
22. #464×C151C4semidirect
66. C2×Q16×C151C2×C4semidirect
79. C4×Q8×C151C2×C4semidirect
106. C4⋊C8×C151C2×C4semidirect
111. #103×C151C2×C4semidirect
320. #23097C151direct (N × H)
321. C151#23097direct (N × H)
324. #2356C2×C151semidirect
325. #1969C2×C151semidirect
328. #1949C2×C151semidirect
329. #1927C2×C151semidirect
331. #1878C2×C151semidirect
333. C8×C4⋊C4C2×C151semidirect
334. C4×#103C2×C151semidirect
335. C4×#103C2×C151semidirect
343. #464C4×C151semidirect
387. C2×Q16C2×C4×C151semidirect
400. C4×Q8C2×C4×C151semidirect
427. C4⋊C8C2×C4×C151semidirect
432. #103C2×C4×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#464×C1512
#2367×C1512
#2356×C1512
#1969×C1512
#1968×C1512
#1958×C1512
#1949×C1512
#1927×C1512
#1925×C1512
#1878×C1512
#1877×C1512
C8×C4⋊C4×C1512
C4×#103×C1512
C4×#102×C1512
#23097151