Finite Group Databasebeta

← C151×#23226 #50328151

Subgroups — C151×#23226 #50328151

Order 38656.

850 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#489×C151C211yesmaximal, characteristic
2#2367×C151C211yesmaximal, characteristic
3#2365×C151C211yesmaximal, characteristic, complemented
4#1987×C151C211yesmaximal, characteristic, complemented
5#1983×C151C211yesmaximal, characteristic
6#1936×C151C211yesmaximal, characteristic
7#1933×C151C211yesmaximal, characteristic, complemented
8#1927×C151C211yesmaximal, characteristic, complemented
9#1926×C151C211yesmaximal, characteristic
10#1863×C151C211yesmaximal, characteristic, complemented
11#1862×C151C211yesmaximal, characteristic
12#1776×C151C211yesmaximal, characteristic, complemented
13#1771×C151C211yesmaximal, characteristic, complemented
14#1763×C151C211yesmaximal, characteristic, complemented
15C4×#102×C151C211yesmaximal, characteristic
16C2×C4⋊Q8×C151C2211yescharacteristic
17C2×#124×C151C2211yescharacteristic
18C2×C4×Q8×C151—21no—
19C2×C4×Q8×C151C2211yescharacteristic
20C2×C4×D4×C151C2211yescharacteristic
21#489×C151C418yescomplemented
22C2×#107×C151C2211yescharacteristic
23C2×#106×C151C2211yescharacteristic
24C2×C4⋊C8×C151C2211yescharacteristic
25C2×#103×C151C2211yescharacteristic
26C2×#103×C151C2211yescharacteristic
27C2×#103×C151C2211yescharacteristic
28C2×#103×C151C2211yescharacteristic
29C2×#102×C151C2211yescharacteristic
30C2×#102×C151C2211yescharacteristic
31C2×#102×C151C2211yescharacteristic
32C2×#102×C151C2211yescharacteristic
33C2×#97×C151C2211yescharacteristic
34C2×#97×C151C2211yescharacteristic
35C2×C4×C8×C151C2211yescharacteristic
36#391×C151—21no—
37#391×C151C2211yescharacteristic
38#390×C151C2211yescharacteristic
39#389×C151C2211yescharacteristic
40#389×C151C2211yescharacteristic
41#388×C151—21no—
42#388×C151—21no—
43#387×C151—21no—
44#387×C151—21no—
45#385×C151—21no—
46C4×C4⋊C4×C151C2211yescharacteristic
47C4×C4⋊C4×C151C2211yescharacteristic
48C4×C4⋊C4×C151C2211yescharacteristic
49C4×C4⋊C4×C151C2211yescharacteristic
50C4×C4⋊C4×C151C2211yescharacteristic
51C4×C22⋊C4×C151—21no—
52#340×C151C2211yescharacteristic
53#340×C151C2211yescharacteristic
54#340×C151C2211yescharacteristic
55#340×C151C2211yescharacteristic
56#340×C151C2211yescharacteristic
57#340×C151C2211yescharacteristic
58#336×C151C2211yescharacteristic
59#336×C151C2211yescharacteristic
60C22×Q8×C151—21no—
61C22×Q8×C151C2311yescharacteristic
62C22×D4×C151C2311yescharacteristic
63C23×C4×C151—21no—
64C22×C8×C151C2311yescharacteristic
65C22×C8×C151C2311yescharacteristic
66C22×C8×C151C2311yescharacteristic
67C22×C8×C151C2311yescharacteristic
68C4⋊Q8×C151—22no—
69C4⋊Q8×C151C2×C414yescomplemented
70#124×C151—22no—
71#124×C151C2×C414yes—
72C4×Q8×C151—22no—
73C4×Q8×C151—41no—
74C4×Q8×C151—44no—
75C4×D4×C151—22no—
76C4×D4×C151—41no—
77C2×C4⋊C4×C151—21no—
78C2×C4⋊C4×C151—21no—
79C2×C4⋊C4×C151—21no—
80C2×C4⋊C4×C151—21no—
81C2×C4⋊C4×C151D411yescharacteristic
82C2×C4⋊C4×C151D411yescharacteristic
83C2×C4⋊C4×C151C2311yescharacteristic
84C2×C4⋊C4×C151C2311yescharacteristic
85C2×C4⋊C4×C151C2311yescharacteristic
86C2×C4⋊C4×C151C2311yescharacteristic
87C2×C4⋊C4×C151C2311yescharacteristic
88C2×C4⋊C4×C151C2311yescharacteristic
89C2×C22⋊C4×C151—21no—
90C2×C22⋊C4×C151—21no—
91C2×C22⋊C4×C151—21no—
92C2×C22⋊C4×C151—21no—
93C2×C22⋊C4×C151—21no—
94C2×C42×C151—21no—
95C2×C42×C151—21no—
96C2×C42×C151—21no—
97C2×C42×C151—21no—
98C2×C42×C151—21no—
99C2×C42×C151C2311yescharacteristic
100C2×C42×C151C2311yescharacteristic
101C2×C42×C151C2311yescharacteristic
102#107×C151—22no—
103#106×C151—22no—
104C4⋊C8×C151—22no—
105#103×C151—22no—
106#103×C151—41no—
107#103×C151C2×C414yescomplemented
108#103×C151C2×C414yescomplemented
109#102×C151—22no—
110#102×C151—41no—
111#102×C151C2×C414yes—
112#102×C151C2×C414yes—
113#97×C151—41no—
114#97×C151C2×C414yescomplemented
115C4×C8×C151—41no—
116#95×C151—21no—
117#95×C151—21no—
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×C151D411yescharacteristic
125#95×C151D411yescharacteristic
126C24×C151—21no—
127C2×Q8×C151—24no—
128C2×Q8×C151—21no—
129C2×Q8×C151—21no—
130C2×Q8×C151—21no—
131C2×Q8×C151—21no—
132C2×Q8×C151—21no—
133C2×Q8×C151—42no—
134C2×Q8×C151—42no—
135C2×Q8×C151C22×C412yes—
136C2×D4×C151—21no—
137C2×D4×C151—21no—
138C2×D4×C151—21no—
139C2×D4×C151—21no—
140C2×D4×C151—21no—
141C2×D4×C151C22×C412yes—
142C22×C4×C151—21no—
143C22×C4×C151—21no—
144C22×C4×C151—21no—
145C22×C4×C151—21no—
146C22×C4×C151—21no—
147C22×C4×C151—21no—
148C22×C4×C151—21no—
149C22×C4×C151—42no—
150C22×C4×C151—42no—
151C22×C4×C151—81no—
152C22×C4×C151C2×D411yescharacteristic
153C22×C4×C151C2×D411yescharacteristic
154C22×C4×C151C2×D411yescharacteristic
155C22×C4×C151C2×D411yescharacteristic
156C22×C4×C151C2×D411yescharacteristic
157C22×C4×C151C2×D411yescharacteristic
158C22×C4×C151C2411yescharacteristic
159C2×C8×C151—21no—
160C2×C8×C151—21no—
161C2×C8×C151—21no—
162C2×C8×C151—21no—
163C2×C8×C151—21no—
164C2×C8×C151—21no—
165C2×C8×C151—21no—
166C2×C8×C151—21no—
167C2×C8×C151—21no—
168C2×C8×C151—21no—
169C2×C8×C151C22×C412yes—
170C2×C8×C151C22×C412yes—
171C4⋊C4×C151—24no—
172C4⋊C4×C151—22no—
173C4⋊C4×C151—21no—
174C4⋊C4×C151—21no—
175C4⋊C4×C151—21no—
176C4⋊C4×C151—21no—
177C4⋊C4×C151—21no—
178C4⋊C4×C151—21no—
179C4⋊C4×C151—21no—
180C4⋊C4×C151—21no—
181C4⋊C4×C151—41no—
182C4⋊C4×C151—42no—
183C4⋊C4×C151—42no—
184C4⋊C4×C151—42no—
185C4⋊C4×C151C22×C412yes—
186C4⋊C4×C151C22×C412yes—
187C4⋊C4×C151#4112yes—
188C4⋊C4×C151#4112yes—
189C22⋊C4×C151—24no—
190C22⋊C4×C151—24no—
191C22⋊C4×C151—42no—
192C22⋊C4×C151—42no—
193C22⋊C4×C151—81no—
194C42×C151—21no—
195C42×C151—21no—
196C42×C151—21no—
197C42×C151—21no—
198C42×C151—42no—
199C42×C151—42no—
200C42×C151—42no—
201C42×C151—42no—
202C42×C151—81no—
203C42×C151C22×C412yes—
204C42×C151#4112yes—
205C23×C151—22no—
206C23×C151—41no—
207C23×C151—41no—
208C23×C151—41no—
209C23×C151—41no—
210C23×C151—41no—
211C23×C151—41no—
212C23×C151C22×D411yescharacteristic
213Q8×C151—22no—
214Q8×C151—22no—
215Q8×C151—48no—
216Q8×C151—41no—
217Q8×C151—41no—
218D4×C151—22no—
219D4×C151—22no—
220D4×C151—41no—
221D4×C151—41no—
222C2×C4×C151—21no—
223C2×C4×C151—21no—
224C2×C4×C151—21no—
225C2×C4×C151—21no—
226C2×C4×C151—21no—
227C2×C4×C151—21no—
228C2×C4×C151—22no—
229C2×C4×C151—22no—
230C2×C4×C151—22no—
231C2×C4×C151—21no—
232C2×C4×C151—21no—
233C2×C4×C151—21no—
234C2×C4×C151—22no—
235C2×C4×C151—22no—
236C2×C4×C151—21no—
237C2×C4×C151—21no—
238C2×C4×C151—21no—
239C2×C4×C151—21no—
240C2×C4×C151—21no—
241C2×C4×C151—21no—
242C2×C4×C151—41no—
243C2×C4×C151—41no—
244C2×C4×C151—41no—
245C2×C4×C151—41no—
246C2×C4×C151—41no—
247C2×C4×C151—41no—
248C2×C4×C151—41no—
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—84no—
259C2×C4×C151C4×D412yes—
260C2×C4×C151C4×D412yes—
261C2×C4×C151AGL(1,ℤ/8)12yes—
262C2×C4×C151C23×C411yescharacteristic
263C2×C4×C151C2×#4111yescharacteristic
264C2×C4×C151C2×#4111yescharacteristic
265C2×C4×C151C2×#4111yescharacteristic
266C2×C4×C151H(5,𝔽2)11yescharacteristic
267C2×C4×C1512−1+411yescharacteristic
268C8×C151—22no—
269C8×C151—22no—
270C8×C151—41no—
271C8×C151—41no—
272C22×C151—42no—
273C22×C151—42no—
274C22×C151—42no—
275C22×C151—81no—
276C22×C151—81no—
277C22×C151—81no—
278C22×C151—81no—
279C22×C151C2×C4×D411yescharacteristic
280C22×C151#54611yescharacteristic
281C22×C151#54811yescharacteristic
282C22×C151C2×AGL(1,ℤ/8)11yescharacteristic
283C22×C151#57511yescharacteristic
284C22×C151#57711yescharacteristic
285C22×C151#57811yescharacteristic
286C4×C151—22no—
287C4×C151—22no—
288C4×C151—22no—
289C4×C151—42no—
290C4×C151—42no—
291C4×C151—42no—
292C4×C151—42no—
293C4×C151—41no—
294C4×C151—42no—
295C4×C151—41no—
296C4×C151—41no—
297C4×C151—81no—
298C4×C151—81no—
299C4×C151C4×#4111yescharacteristic
300C4×C151#52011yescharacteristic
301C4×C151#55611yescharacteristic
302C4×C151#55911yescharacteristic
303C2×C151—82no—
304C2×C151#236711yescharacteristic
305C2×C151C4×AGL(1,ℤ/8)11yescharacteristic
306C2×C151#294711yescharacteristic
307C2×C151#330611yescharacteristic
308C2×C151#331311yescharacteristic
309C2×C151#336711yescharacteristic
310C2×C151#337111yescharacteristic
311#23226C15111yesmaximal, characteristic, direct product factor, Sylow
312C151#2322611yescharacteristic, direct product factor, Sylow
313C2×#489C2×C15111yescharacteristic
314#2367C2×C15111yescharacteristic
315#2365C2×C15111yescharacteristic, complemented
316#1987C2×C15111yescharacteristic, complemented
317#1983C2×C15111yescharacteristic
318#1936C2×C15111yescharacteristic
319#1933C2×C15111yescharacteristic, complemented
320#1927C2×C15111yescharacteristic, complemented
321#1926C2×C15111yescharacteristic
322#1863C2×C15111yescharacteristic, complemented
323#1862C2×C15111yescharacteristic
324#1776C2×C15111yescharacteristic, complemented
325#1771C2×C15111yescharacteristic, complemented
326#1763C2×C15111yescharacteristic, complemented
327C4×#102C2×C15111yescharacteristic
328C2×C4⋊Q8C22×C15111yescharacteristic
329C2×#124C22×C15111yescharacteristic
330C2×C4×Q8—21no—
331C2×C4×Q8C22×C15111yescharacteristic
332C2×C4×D4C22×C15111yescharacteristic
333#489C4×C15118yescomplemented
334C2×#107C22×C15111yescharacteristic
335C2×#106C22×C15111yescharacteristic
336C2×C4⋊C8C22×C15111yescharacteristic
337C2×#103C22×C15111yescharacteristic
338C2×#103C22×C15111yescharacteristic
339C2×#103C22×C15111yescharacteristic
340C2×#103C22×C15111yescharacteristic
341C2×#102C22×C15111yescharacteristic
342C2×#102C22×C15111yescharacteristic
343C2×#102C22×C15111yescharacteristic
344C2×#102C22×C15111yescharacteristic
345C2×#97C22×C15111yescharacteristic
346C2×#97C22×C15111yescharacteristic
347C2×C4×C8C22×C15111yescharacteristic
348#391—21no—
349#391C22×C15111yescharacteristic
350#390C22×C15111yescharacteristic
351#389C22×C15111yescharacteristic
352#389C22×C15111yescharacteristic
353#388—21no—
354#388—21no—
355#387—21no—
356#387—21no—
357#385—21no—
358C4×C4⋊C4C22×C15111yescharacteristic
359C4×C4⋊C4C22×C15111yescharacteristic
360C4×C4⋊C4C22×C15111yescharacteristic
361C4×C4⋊C4C22×C15111yescharacteristic
362C4×C4⋊C4C22×C15111yescharacteristic
363C4×C22⋊C4—21no—
364#340C22×C15111yescharacteristic
365#340C22×C15111yescharacteristic
366#340C22×C15111yescharacteristic
367#340C22×C15111yescharacteristic
368#340C22×C15111yescharacteristic
369#340C22×C15111yescharacteristic
370#336C22×C15111yescharacteristic
371#336C22×C15111yescharacteristic
372C22×Q8—21no—
373C22×Q8C23×C15111yescharacteristic
374C22×D4C23×C15111yescharacteristic
375C23×C4—21no—
376C22×C8C23×C15111yescharacteristic
377C22×C8C23×C15111yescharacteristic
378C22×C8C23×C15111yescharacteristic
379C22×C8C23×C15111yescharacteristic
380C4⋊Q8—22no—
381C4⋊Q8C2×C4×C15114yescomplemented
382#124—22no—
383#124C2×C4×C15114yes—
384C4×Q8—22no—
385C4×Q8—41no—
386C4×Q8—44no—
387C4×D4—22no—
388C4×D4—41no—
389C2×C4⋊C4—21no—
390C2×C4⋊C4—21no—
391C2×C4⋊C4—21no—
392C2×C4⋊C4—21no—
393C2×C4⋊C4D4×C15111yescharacteristic
394C2×C4⋊C4D4×C15111yescharacteristic
395C2×C4⋊C4C23×C15111yescharacteristic
396C2×C4⋊C4C23×C15111yescharacteristic
397C2×C4⋊C4C23×C15111yescharacteristic
398C2×C4⋊C4C23×C15111yescharacteristic
399C2×C4⋊C4C23×C15111yescharacteristic
400C2×C4⋊C4C23×C15111yescharacteristic
401C2×C22⋊C4—21no—
402C2×C22⋊C4—21no—
403C2×C22⋊C4—21no—
404C2×C22⋊C4—21no—
405C2×C22⋊C4—21no—
406C2×C42—21no—
407C2×C42—21no—
408C2×C42—21no—
409C2×C42—21no—
410C2×C42—21no—
411C2×C42C23×C15111yescharacteristic
412C2×C42C23×C15111yescharacteristic
413C2×C42C23×C15111yescharacteristic
414#107—22no—
415#106—22no—
416C4⋊C8—22no—
417#103—22no—
418#103—41no—
419#103C2×C4×C15114yescomplemented
420#103C2×C4×C15114yescomplemented
421#102—22no—
422#102—41no—
423#102C2×C4×C15114yes—
424#102C2×C4×C15114yes—
425#97—41no—
426#97C2×C4×C15114yescomplemented
427C4×C8—41no—
428#95—21no—
429#95—21no—
430#95—21no—
431#95—21no—
432#95—21no—
433#95—21no—
434#95—21no—
435#95—21no—
436#95D4×C15111yescharacteristic
437#95D4×C15111yescharacteristic
438C24—21no—
439C2×Q8—24no—
440C2×Q8—21no—
441C2×Q8—21no—
442C2×Q8—21no—
443C2×Q8—21no—
444C2×Q8—21no—
445C2×Q8—42no—
446C2×Q8—42no—
447C2×Q8C22×C4×C15112yes—
448C2×D4—21no—
449C2×D4—21no—
450C2×D4—21no—
451C2×D4—21no—
452C2×D4—21no—
453C2×D4C22×C4×C15112yes—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—81no—
464C22×C4C2×D4×C15111yescharacteristic
465C22×C4C2×D4×C15111yescharacteristic
466C22×C4C2×D4×C15111yescharacteristic
467C22×C4C2×D4×C15111yescharacteristic
468C22×C4C2×D4×C15111yescharacteristic
469C22×C4C2×D4×C15111yescharacteristic
470C22×C4C24×C15111yescharacteristic
471C2×C8—21no—
472C2×C8—21no—
473C2×C8—21no—
474C2×C8—21no—
475C2×C8—21no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8C22×C4×C15112yes—
482C2×C8C22×C4×C15112yes—
483C4⋊C4—24no—
484C4⋊C4—22no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4—21no—
489C4⋊C4—21no—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—41no—
494C4⋊C4—42no—
495C4⋊C4—42no—
496C4⋊C4—42no—
497C4⋊C4C22×C4×C15112yes—
498C4⋊C4C22×C4×C15112yes—
499C4⋊C4#41×C15112yes—
500C4⋊C4#41×C15112yes—
501C22⋊C4—24no—
502C22⋊C4—24no—
503C22⋊C4—42no—
504C22⋊C4—42no—
505C22⋊C4—81no—
506C42—21no—
507C42—21no—
508C42—21no—
509C42—21no—
510C42—42no—
511C42—42no—
512C42—42no—
513C42—42no—
514C42—81no—
515C42C22×C4×C15112yes—
516C42#41×C15112yes—
517C23—22no—
518C23—41no—
519C23—41no—
520C23—41no—
521C23—41no—
522C23—41no—
523C23—41no—
524C23C22×D4×C15111yescharacteristic
525Q8—22no—
526Q8—22no—
527Q8—48no—
528Q8—41no—
529Q8—41no—
530D4—22no—
531D4—22no—
532D4—41no—
533D4—41no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—84no—
571C2×C4C4×D4×C15112yes—
572C2×C4C4×D4×C15112yes—
573C2×C4AGL(1,ℤ/8)×C15112yes—
574C2×C4C23×C4×C15111yescharacteristic
575C2×C4C2×#41×C15111yescharacteristic
576C2×C4C2×#41×C15111yescharacteristic
577C2×C4C2×#41×C15111yescharacteristic
578C2×C4H(5,𝔽2)×C15111yescharacteristic
579C2×C42−1+4×C15111yescharacteristic
580C8—22no—
581C8—22no—
582C8—41no—
583C8—41no—
584C22—42no—
585C22—42no—
586C22—42no—
587C22—81no—
588C22—81no—
589C22—81no—
590C22—81no—
591C22C2×C4×D4×C15111yescharacteristic
592C22#546×C15111yescharacteristic
593C22#548×C15111yescharacteristic
594C22C2×AGL(1,ℤ/8)×C15111yescharacteristic
595C22#575×C15111yescharacteristic
596C22#577×C15111yescharacteristic
597C22#578×C15111yescharacteristic
598C4—22no—
599C4—22no—
600C4—22no—
601C4—42no—
602C4—42no—
603C4—42no—
604C4—42no—
605C4—41no—
606C4—42no—
607C4—41no—
608C4—41no—
609C4—81no—
610C4—81no—
611C4C4×#41×C15111yescharacteristic
612C4#520×C15111yescharacteristic
613C4#556×C15111yescharacteristic
614C4#559×C15111yescharacteristic
615C2—82no—
616C2#2367×C15111yescharacteristic
617C2C4×AGL(1,ℤ/8)×C15111yescharacteristic
618C2#2947×C15111yescharacteristic
619C2#3306×C15111yescharacteristic
620C2#3313×C15111yescharacteristic
621C2#3367×C15111yescharacteristic
622C2#3371×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. #2365×C151C2semidirect
4. #1987×C151C2semidirect
7. #1933×C151C2semidirect
8. #1927×C151C2semidirect
10. #1863×C151C2semidirect
12. #1776×C151C2semidirect
13. #1771×C151C2semidirect
14. #1763×C151C2semidirect
21. #489×C151C4semidirect
69. C4⋊Q8×C151C2×C4semidirect
107. #103×C151C2×C4semidirect
108. #103×C151C2×C4semidirect
114. #97×C151C2×C4semidirect
311. #23226C151direct (N × H)
312. C151#23226direct (N × H)
315. #2365C2×C151semidirect
316. #1987C2×C151semidirect
319. #1933C2×C151semidirect
320. #1927C2×C151semidirect
322. #1863C2×C151semidirect
324. #1776C2×C151semidirect
325. #1771C2×C151semidirect
326. #1763C2×C151semidirect
333. #489C4×C151semidirect
381. C4⋊Q8C2×C4×C151semidirect
419. #103C2×C4×C151semidirect
420. #103C2×C4×C151semidirect
426. #97C2×C4×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#489×C1512
#2367×C1512
#2365×C1512
#1987×C1512
#1983×C1512
#1936×C1512
#1933×C1512
#1927×C1512
#1926×C1512
#1863×C1512
#1862×C1512
#1776×C1512
#1771×C1512
#1763×C1512
C4×#102×C1512
#23226151