Finite Group Databasebeta

← C151×#23231 #50328156

Subgroups — C151×#23231 #50328156

Order 38656.

906 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#490×C151C211yesmaximal, characteristic
2#2370×C151C211yesmaximal, characteristic, complemented
3#2366×C151C211yesmaximal, characteristic
4#1989×C151C211yesmaximal, characteristic, complemented
5#1982×C151C211yesmaximal, characteristic
6#1936×C151C211yesmaximal, characteristic, complemented
7#1934×C151C211yesmaximal, characteristic, complemented
8#1925×C151C211yesmaximal, characteristic, complemented
9#1925×C151C211yesmaximal, characteristic, complemented
10#1864×C151C211yesmaximal, characteristic, complemented
11#1864×C151C211yesmaximal, characteristic, complemented
12#1776×C151C211yesmaximal, characteristic, complemented
13#1771×C151C211yesmaximal, characteristic, complemented
14#1762×C151C211yesmaximal, characteristic, complemented
15C4×#102×C151C211yesmaximal, characteristic, complemented
16C2×#127×C151C2211yescharacteristic
17C2×#125×C151C2211yescharacteristic
18C2×C4×D4×C151—21no—
19C2×C4×D4×C151C2211yescharacteristic
20C2×C4×D4×C151C2211yescharacteristic
21#490×C151C418yescomplemented
22C2×#107×C151C2211yescharacteristic
23C2×#106×C151C2211yescharacteristic
24C2×C4⋊C8×C151C2211yescharacteristic
25C2×#102×C151C2211yescharacteristic
26C2×#102×C151C2211yescharacteristic
27C2×#102×C151C2211yescharacteristic
28C2×#102×C151C2211yescharacteristic
29C2×#102×C151C2211yescharacteristic
30C2×#102×C151C2211yescharacteristic
31C2×#102×C151C2211yescharacteristic
32C2×#102×C151C2211yescharacteristic
33C2×#97×C151C2211yescharacteristic
34C2×#97×C151C2211yescharacteristic
35C2×C4×C8×C151C2211yescharacteristic
36#390×C151—21no—
37#390×C151C2211yescharacteristic
38#390×C151C2211yescharacteristic
39#389×C151—21no—
40#389×C151C2211yescharacteristic
41#389×C151C2211yescharacteristic
42#387×C151—21no—
43#387×C151—21no—
44#386×C151—21no—
45#386×C151—21no—
46C4×C4⋊C4×C151—21no—
47C4×C4⋊C4×C151C2211yescharacteristic
48C4×C4⋊C4×C151C2211yescharacteristic
49C4×C4⋊C4×C151C2211yescharacteristic
50C4×C4⋊C4×C151C2211yescharacteristic
51C4×C4⋊C4×C151C2211yescharacteristic
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×D4×C151—21no—
61C22×D4×C151—21no—
62C22×D4×C151C2311yescharacteristic
63C22×D4×C151C2311yescharacteristic
64C23×C4×C151—21no—
65C23×C4×C151—21no—
66C22×C8×C151C2311yescharacteristic
67C22×C8×C151C2311yescharacteristic
68C22×C8×C151C2311yescharacteristic
69C22×C8×C151C2311yescharacteristic
70#127×C151—22no—
71#127×C151C2×C414yes—
72#125×C151—22no—
73#125×C151C2×C414yescomplemented
74C4×D4×C151—22no—
75C4×D4×C151—22no—
76C4×D4×C151—41no—
77C4×D4×C151—41no—
78C4×D4×C151—44no—
79C2×C4⋊C4×C151—21no—
80C2×C4⋊C4×C151—21no—
81C2×C4⋊C4×C151—21no—
82C2×C4⋊C4×C151—21no—
83C2×C4⋊C4×C151D411yescharacteristic
84C2×C4⋊C4×C151D411yescharacteristic
85C2×C4⋊C4×C151C2311yescharacteristic
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×C22⋊C4×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—22no—
105#106×C151—22no—
106C4⋊C8×C151—22no—
107#102×C151—22no—
108#102×C151—22no—
109#102×C151—41no—
110#102×C151—41no—
111#102×C151C2×C414yescomplemented
112#102×C151C2×C414yescomplemented
113#102×C151C2×C414yescomplemented
114#102×C151C2×C414yescomplemented
115#97×C151—41no—
116#97×C151C2×C414yescomplemented
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×C151D411yescharacteristic
125#95×C151D411yescharacteristic
126C24×C151—21no—
127C24×C151—21no—
128C2×D4×C151—24no—
129C2×D4×C151—24no—
130C2×D4×C151—21no—
131C2×D4×C151—21no—
132C2×D4×C151—21no—
133C2×D4×C151—21no—
134C2×D4×C151—21no—
135C2×D4×C151—21no—
136C2×D4×C151—21no—
137C2×D4×C151—21no—
138C2×D4×C151—21no—
139C2×D4×C151—21no—
140C2×D4×C151—42no—
141C2×D4×C151—42no—
142C2×D4×C151—81no—
143C2×D4×C151—81no—
144C2×D4×C151C22×C412yes—
145C2×D4×C151C22×C412yes—
146C22×C4×C151—21no—
147C22×C4×C151—21no—
148C22×C4×C151—21no—
149C22×C4×C151—21no—
150C22×C4×C151—21no—
151C22×C4×C151—21no—
152C22×C4×C151—42no—
153C22×C4×C151—42no—
154C22×C4×C151—42no—
155C22×C4×C151—42no—
156C22×C4×C151—81no—
157C22×C4×C151—81no—
158C22×C4×C151C2×D411yescharacteristic
159C22×C4×C151C2×D411yescharacteristic
160C22×C4×C151C2×D411yescharacteristic
161C22×C4×C151C2×D411yescharacteristic
162C22×C4×C151C2×D411yescharacteristic
163C22×C4×C151C2×D411yescharacteristic
164C22×C4×C151C2411yescharacteristic
165C2×C8×C151—21no—
166C2×C8×C151—21no—
167C2×C8×C151—21no—
168C2×C8×C151—21no—
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×C151C22×C412yes—
176C2×C8×C151C22×C412yes—
177C4⋊C4×C151—24no—
178C4⋊C4×C151—24no—
179C4⋊C4×C151—22no—
180C4⋊C4×C151—21no—
181C4⋊C4×C151—21no—
182C4⋊C4×C151—21no—
183C4⋊C4×C151—21no—
184C4⋊C4×C151—21no—
185C4⋊C4×C151—21no—
186C4⋊C4×C151—21no—
187C4⋊C4×C151—21no—
188C4⋊C4×C151—41no—
189C4⋊C4×C151—42no—
190C4⋊C4×C151—81no—
191C4⋊C4×C151C22×C412yes—
192C4⋊C4×C151C22×C412yes—
193C4⋊C4×C151#4112yes—
194C4⋊C4×C151#4112yes—
195C22⋊C4×C151—42no—
196C22⋊C4×C151—42no—
197C22⋊C4×C151—42no—
198C22⋊C4×C151—42no—
199C22⋊C4×C151—81no—
200C22⋊C4×C151—81no—
201C42×C151—21no—
202C42×C151—21no—
203C42×C151—21no—
204C42×C151—21no—
205C42×C151—42no—
206C42×C151—42no—
207C42×C151—81no—
208C42×C151—81no—
209C42×C151C22×C412yes—
210C42×C151#4112yes—
211C23×C151—22no—
212C23×C151—22no—
213C23×C151—41no—
214C23×C151—41no—
215C23×C151—41no—
216C23×C151—41no—
217C23×C151—41no—
218C23×C151—41no—
219C23×C151—41no—
220C23×C151—41no—
221C23×C151—41no—
222C23×C151—41no—
223C23×C151—41no—
224C23×C151—41no—
225C23×C151C22×D411yescharacteristic
226D4×C151—22no—
227D4×C151—22no—
228D4×C151—22no—
229D4×C151—22no—
230D4×C151—48no—
231D4×C151—41no—
232D4×C151—41no—
233D4×C151—41no—
234D4×C151—41no—
235D4×C151—84no—
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—22no—
243C2×C4×C151—22no—
244C2×C4×C151—21no—
245C2×C4×C151—21no—
246C2×C4×C151—21no—
247C2×C4×C151—22no—
248C2×C4×C151—22no—
249C2×C4×C151—21no—
250C2×C4×C151—21no—
251C2×C4×C151—21no—
252C2×C4×C151—21no—
253C2×C4×C151—21no—
254C2×C4×C151—21no—
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—41no—
267C2×C4×C151—41no—
268C2×C4×C151—41no—
269C2×C4×C151—84no—
270C2×C4×C151—84no—
271C2×C4×C151C4×D412yes—
272C2×C4×C151C4×D412yes—
273C2×C4×C151AGL(1,ℤ/8)12yes—
274C2×C4×C151C23×C411yescharacteristic
275C2×C4×C151C2×#4111yescharacteristic
276C2×C4×C151C2×#4111yescharacteristic
277C2×C4×C151C2×#4111yescharacteristic
278C2×C4×C151H(5,𝔽2)11yescharacteristic
279C2×C4×C1512−1+411yescharacteristic
280C8×C151—22no—
281C8×C151—22no—
282C8×C151—41no—
283C8×C151—41no—
284C22×C151—42no—
285C22×C151—42no—
286C22×C151—42no—
287C22×C151—42no—
288C22×C151—42no—
289C22×C151—42no—
290C22×C151—81no—
291C22×C151—81no—
292C22×C151—81no—
293C22×C151—81no—
294C22×C151—81no—
295C22×C151—81no—
296C22×C151—81no—
297C22×C151—81no—
298C22×C151C2×C4×D411yescharacteristic
299C22×C151#54611yescharacteristic
300C22×C151#54811yescharacteristic
301C22×C151C2×AGL(1,ℤ/8)11yescharacteristic
302C22×C151#57511yescharacteristic
303C22×C151#57611yescharacteristic
304C22×C151#57711yescharacteristic
305C4×C151—22no—
306C4×C151—22no—
307C4×C151—22no—
308C4×C151—42no—
309C4×C151—42no—
310C4×C151—42no—
311C4×C151—41no—
312C4×C151—41no—
313C4×C151—41no—
314C4×C151—42no—
315C4×C151—81no—
316C4×C151—81no—
317C4×C151C4×#4111yescharacteristic
318C4×C151#52011yescharacteristic
319C4×C151#55611yescharacteristic
320C4×C151#55911yescharacteristic
321C2×C151—82no—
322C2×C151—82no—
323C2×C151#236711yescharacteristic
324C2×C151C4×AGL(1,ℤ/8)11yescharacteristic
325C2×C151#294611yescharacteristic
326C2×C151#330911yescharacteristic
327C2×C151#331011yescharacteristic
328C2×C151#336611yescharacteristic
329C2×C151#337111yescharacteristic
330#23231C15111yesmaximal, characteristic, direct product factor, Sylow
331C151#2323111yescharacteristic, direct product factor, Sylow
332C2×#490C2×C15111yescharacteristic
333#2370C2×C15111yescharacteristic, complemented
334#2366C2×C15111yescharacteristic
335#1989C2×C15111yescharacteristic, complemented
336#1982C2×C15111yescharacteristic
337#1936C2×C15111yescharacteristic, complemented
338#1934C2×C15111yescharacteristic, complemented
339#1925C2×C15111yescharacteristic, complemented
340#1925C2×C15111yescharacteristic, complemented
341#1864C2×C15111yescharacteristic, complemented
342#1864C2×C15111yescharacteristic, complemented
343#1776C2×C15111yescharacteristic, complemented
344#1771C2×C15111yescharacteristic, complemented
345#1762C2×C15111yescharacteristic, complemented
346C4×#102C2×C15111yescharacteristic, complemented
347C2×#127C22×C15111yescharacteristic
348C2×#125C22×C15111yescharacteristic
349C2×C4×D4—21no—
350C2×C4×D4C22×C15111yescharacteristic
351C2×C4×D4C22×C15111yescharacteristic
352#490C4×C15118yescomplemented
353C2×#107C22×C15111yescharacteristic
354C2×#106C22×C15111yescharacteristic
355C2×C4⋊C8C22×C15111yescharacteristic
356C2×#102C22×C15111yescharacteristic
357C2×#102C22×C15111yescharacteristic
358C2×#102C22×C15111yescharacteristic
359C2×#102C22×C15111yescharacteristic
360C2×#102C22×C15111yescharacteristic
361C2×#102C22×C15111yescharacteristic
362C2×#102C22×C15111yescharacteristic
363C2×#102C22×C15111yescharacteristic
364C2×#97C22×C15111yescharacteristic
365C2×#97C22×C15111yescharacteristic
366C2×C4×C8C22×C15111yescharacteristic
367#390—21no—
368#390C22×C15111yescharacteristic
369#390C22×C15111yescharacteristic
370#389—21no—
371#389C22×C15111yescharacteristic
372#389C22×C15111yescharacteristic
373#387—21no—
374#387—21no—
375#386—21no—
376#386—21no—
377C4×C4⋊C4—21no—
378C4×C4⋊C4C22×C15111yescharacteristic
379C4×C4⋊C4C22×C15111yescharacteristic
380C4×C4⋊C4C22×C15111yescharacteristic
381C4×C4⋊C4C22×C15111yescharacteristic
382C4×C4⋊C4C22×C15111yescharacteristic
383#340C22×C15111yescharacteristic
384#340C22×C15111yescharacteristic
385#340C22×C15111yescharacteristic
386#340C22×C15111yescharacteristic
387#340C22×C15111yescharacteristic
388#340C22×C15111yescharacteristic
389#336C22×C15111yescharacteristic
390#336C22×C15111yescharacteristic
391C22×D4—21no—
392C22×D4—21no—
393C22×D4C23×C15111yescharacteristic
394C22×D4C23×C15111yescharacteristic
395C23×C4—21no—
396C23×C4—21no—
397C22×C8C23×C15111yescharacteristic
398C22×C8C23×C15111yescharacteristic
399C22×C8C23×C15111yescharacteristic
400C22×C8C23×C15111yescharacteristic
401#127—22no—
402#127C2×C4×C15114yes—
403#125—22no—
404#125C2×C4×C15114yescomplemented
405C4×D4—22no—
406C4×D4—22no—
407C4×D4—41no—
408C4×D4—41no—
409C4×D4—44no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4D4×C15111yescharacteristic
415C2×C4⋊C4D4×C15111yescharacteristic
416C2×C4⋊C4C23×C15111yescharacteristic
417C2×C4⋊C4C23×C15111yescharacteristic
418C2×C4⋊C4C23×C15111yescharacteristic
419C2×C4⋊C4C23×C15111yescharacteristic
420C2×C4⋊C4C23×C15111yescharacteristic
421C2×C4⋊C4C23×C15111yescharacteristic
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C42—21no—
429C2×C42—21no—
430C2×C42—21no—
431C2×C42—21no—
432C2×C42C23×C15111yescharacteristic
433C2×C42C23×C15111yescharacteristic
434C2×C42C23×C15111yescharacteristic
435#107—22no—
436#106—22no—
437C4⋊C8—22no—
438#102—22no—
439#102—22no—
440#102—41no—
441#102—41no—
442#102C2×C4×C15114yescomplemented
443#102C2×C4×C15114yescomplemented
444#102C2×C4×C15114yescomplemented
445#102C2×C4×C15114yescomplemented
446#97—41no—
447#97C2×C4×C15114yescomplemented
448C4×C8—41no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95D4×C15111yescharacteristic
456#95D4×C15111yescharacteristic
457C24—21no—
458C24—21no—
459C2×D4—24no—
460C2×D4—24no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—42no—
472C2×D4—42no—
473C2×D4—81no—
474C2×D4—81no—
475C2×D4C22×C4×C15112yes—
476C2×D4C22×C4×C15112yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—81no—
488C22×C4—81no—
489C22×C4C2×D4×C15111yescharacteristic
490C22×C4C2×D4×C15111yescharacteristic
491C22×C4C2×D4×C15111yescharacteristic
492C22×C4C2×D4×C15111yescharacteristic
493C22×C4C2×D4×C15111yescharacteristic
494C22×C4C2×D4×C15111yescharacteristic
495C22×C4C24×C15111yescharacteristic
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8C22×C4×C15112yes—
507C2×C8C22×C4×C15112yes—
508C4⋊C4—24no—
509C4⋊C4—24no—
510C4⋊C4—22no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—41no—
520C4⋊C4—42no—
521C4⋊C4—81no—
522C4⋊C4C22×C4×C15112yes—
523C4⋊C4C22×C4×C15112yes—
524C4⋊C4#41×C15112yes—
525C4⋊C4#41×C15112yes—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—81no—
531C22⋊C4—81no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—21no—
536C42—42no—
537C42—42no—
538C42—81no—
539C42—81no—
540C42C22×C4×C15112yes—
541C42#41×C15112yes—
542C23—22no—
543C23—22no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23C22×D4×C15111yescharacteristic
557D4—22no—
558D4—22no—
559D4—22no—
560D4—22no—
561D4—48no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—84no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—84no—
601C2×C4—84no—
602C2×C4C4×D4×C15112yes—
603C2×C4C4×D4×C15112yes—
604C2×C4AGL(1,ℤ/8)×C15112yes—
605C2×C4C23×C4×C15111yescharacteristic
606C2×C4C2×#41×C15111yescharacteristic
607C2×C4C2×#41×C15111yescharacteristic
608C2×C4C2×#41×C15111yescharacteristic
609C2×C4H(5,𝔽2)×C15111yescharacteristic
610C2×C42−1+4×C15111yescharacteristic
611C8—22no—
612C8—22no—
613C8—41no—
614C8—41no—
615C22—42no—
616C22—42no—
617C22—42no—
618C22—42no—
619C22—42no—
620C22—42no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22C2×C4×D4×C15111yescharacteristic
630C22#546×C15111yescharacteristic
631C22#548×C15111yescharacteristic
632C22C2×AGL(1,ℤ/8)×C15111yescharacteristic
633C22#575×C15111yescharacteristic
634C22#576×C15111yescharacteristic
635C22#577×C15111yescharacteristic
636C4—22no—
637C4—22no—
638C4—22no—
639C4—42no—
640C4—42no—
641C4—42no—
642C4—41no—
643C4—41no—
644C4—41no—
645C4—42no—
646C4—81no—
647C4—81no—
648C4C4×#41×C15111yescharacteristic
649C4#520×C15111yescharacteristic
650C4#556×C15111yescharacteristic
651C4#559×C15111yescharacteristic
652C2—82no—
653C2—82no—
654C2#2367×C15111yescharacteristic
655C2C4×AGL(1,ℤ/8)×C15111yescharacteristic
656C2#2946×C15111yescharacteristic
657C2#3309×C15111yescharacteristic
658C2#3310×C15111yescharacteristic
659C2#3366×C15111yescharacteristic
660C2#3371×C15111yescharacteristic
subgroupG/H
center, socleC23×C151C22×D4
commutatorC2×C4C23×C4×C151
Frattini, cosocleC22×C4C24×C151
prime radicalC2×#127×C151C22
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
2. #2370×C151C2semidirect
4. #1989×C151C2semidirect
6. #1936×C151C2semidirect
7. #1934×C151C2semidirect
8. #1925×C151C2semidirect
9. #1925×C151C2semidirect
10. #1864×C151C2semidirect
11. #1864×C151C2semidirect
12. #1776×C151C2semidirect
13. #1771×C151C2semidirect
14. #1762×C151C2semidirect
15. C4×#102×C151C2semidirect
21. #490×C151C4semidirect
73. #125×C151C2×C4semidirect
111. #102×C151C2×C4semidirect
112. #102×C151C2×C4semidirect
113. #102×C151C2×C4semidirect
114. #102×C151C2×C4semidirect
116. #97×C151C2×C4semidirect
330. #23231C151direct (N × H)
331. C151#23231direct (N × H)
333. #2370C2×C151semidirect
335. #1989C2×C151semidirect
337. #1936C2×C151semidirect
338. #1934C2×C151semidirect
339. #1925C2×C151semidirect
340. #1925C2×C151semidirect
341. #1864C2×C151semidirect
342. #1864C2×C151semidirect
343. #1776C2×C151semidirect
344. #1771C2×C151semidirect
345. #1762C2×C151semidirect
346. C4×#102C2×C151semidirect
352. #490C4×C151semidirect
404. #125C2×C4×C151semidirect
442. #102C2×C4×C151semidirect
443. #102C2×C4×C151semidirect
444. #102C2×C4×C151semidirect
445. #102C2×C4×C151semidirect
447. #97C2×C4×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#490×C1512
#2370×C1512
#2366×C1512
#1989×C1512
#1982×C1512
#1936×C1512
#1934×C1512
#1925×C1512
#1864×C1512
#1776×C1512
#1771×C1512
#1762×C1512
C4×#102×C1512
#23231151