Finite Group Databasebeta

← C151×#22797 #50327722

Subgroups — C151×#22797 #50327722

Order 38656.

960 conjugacy classes of subgroups.

The subgroup lattice has 614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#432×C151C211yesmaximal, characteristic, complemented
2C2×#431×C151C211yesmaximal, characteristic, complemented
3C42×D4×C151C211yesmaximal, characteristic
4#1955×C151C212yesmaximal
5#1924×C151C212yesmaximal, complemented
6#1923×C151C212yesmaximal, complemented
7#1842×C151C211yesmaximal, characteristic, complemented
8#1797×C151C211yesmaximal, characteristic, complemented
9#1797×C151C211yesmaximal, characteristic, complemented
10#1771×C151C212yesmaximal, complemented
11#1767×C151C211yesmaximal, characteristic, complemented
12C2×C4×D4×C151C411yescharacteristic
13C2×C4×D4×C151C411yescharacteristic
14C2×C4×D4×C151C2211yescharacteristic
15C22×C42×C151C2211yescharacteristic
16C22×C42×C151C2211yescharacteristic
17#432×C151—24no—
18#431×C151—24no—
19C2×C4⋊C8×C151C2211yescharacteristic
20C2×C4⋊C8×C151C2211yescharacteristic
21C2×C4⋊C8×C151C2212yes—
22C2×C4⋊C8×C151C2211yescharacteristic
23C2×C4⋊C8×C151C2212yes—
24C2×C4⋊C8×C151C2211yescharacteristic
25C2×C22⋊C8×C151C2212yes—
26C2×C22⋊C8×C151C2212yes—
27C2×C22⋊C8×C151C2212yes—
28C2×C22⋊C8×C151C2212yes—
29C2×#97×C151C2212yes—
30C2×#97×C151C2212yes—
31C2×C4×C8×C151C2212yes—
32C4×C4⋊C4×C151C411yescharacteristic
33C4×C4⋊C4×C151C411yescharacteristic
34C4×C4⋊C4×C151C2211yescharacteristic
35C4×C22⋊C4×C151C411yescharacteristic
36C4×C22⋊C4×C151C411yescharacteristic
37C4×C22⋊C4×C151C411yescharacteristic
38C4×C22⋊C4×C151C411yescharacteristic
39C4×C22⋊C4×C151C2211yescharacteristic
40C4×C22⋊C4×C151C2211yescharacteristic
41C43×C151C2211yescharacteristic
42#336×C151C2212yes—
43#336×C151C2212yes—
44#336×C151C2212yes—
45C22×D4×C151C2×C411yescharacteristic
46C23×C4×C151C2×C411yescharacteristic
47C23×C4×C151C2×C411yescharacteristic
48C23×C4×C151C2×C411yescharacteristic
49C23×C4×C151C2×C411yescharacteristic
50C23×C4×C151C2311yescharacteristic
51C23×C4×C151C2311yescharacteristic
52C22×C8×C151C2312yes—
53C22×C8×C151C2312yes—
54C22×C8×C151C2312yes—
55C22×C8×C151C2312yes—
56C4×D4×C151—24no—
57C4×D4×C151—24no—
58C4×D4×C151—22no—
59C4×D4×C151—22no—
60C2×C4⋊C4×C151C2×C411yescharacteristic
61C2×C4⋊C4×C151C2×C411yescharacteristic
62C2×C4⋊C4×C151C2×C411yescharacteristic
63C2×C22⋊C4×C151C2×C411yescharacteristic
64C2×C22⋊C4×C151C2×C411yescharacteristic
65C2×C22⋊C4×C151C2×C411yescharacteristic
66C2×C22⋊C4×C151C2×C411yescharacteristic
67C2×C22⋊C4×C151C2×C411yescharacteristic
68C2×C22⋊C4×C151C2×C411yescharacteristic
69C2×C42×C151—22no—
70C2×C42×C151—22no—
71C2×C42×C151—22no—
72C2×C42×C151—22no—
73C2×C42×C151C2×C411yescharacteristic
74C2×C42×C151C2×C411yescharacteristic
75C2×C42×C151C2×C411yescharacteristic
76C2×C42×C151C2×C411yescharacteristic
77C2×C42×C151C2×C411yescharacteristic
78C2×C42×C151C2×C411yescharacteristic
79C2×C42×C151C2×C411yescharacteristic
80C2×C42×C151C2×C411yescharacteristic
81C2×C42×C151C2311yescharacteristic
82C2×C42×C151C2311yescharacteristic
83C2×C42×C151C2311yescharacteristic
84C2×C42×C151C2311yescharacteristic
85C2×C42×C151C2311yescharacteristic
86C4⋊C8×C151—22no—
87C4⋊C8×C151—22no—
88C4⋊C8×C151—24no—
89C4⋊C8×C151—22no—
90C4⋊C8×C151—42no—
91C4⋊C8×C151D414yescomplemented
92C22⋊C8×C151—24no—
93C22⋊C8×C151—24no—
94C22⋊C8×C151—42no—
95C22⋊C8×C151—42no—
96#97×C151—24no—
97#97×C151—24no—
98C4×C8×C151—24no—
99#95×C151C2×C411yescharacteristic
100#95×C151C2×C411yescharacteristic
101#95×C151C2×C411yescharacteristic
102#95×C151C2×C411yescharacteristic
103#95×C151C2×C411yescharacteristic
104#95×C151C2×C411yescharacteristic
105C24×C151C22×C411yescharacteristic
106C24×C151C22×C411yescharacteristic
107C2×D4×C151—22no—
108C2×D4×C151—22no—
109C2×D4×C151—22no—
110C22×C4×C151—22no—
111C22×C4×C151—22no—
112C22×C4×C151—22no—
113C22×C4×C151—22no—
114C22×C4×C151—22no—
115C22×C4×C151—22no—
116C22×C4×C151—22no—
117C22×C4×C151—22no—
118C22×C4×C151—22no—
119C22×C4×C151—21no—
120C22×C4×C151—21no—
121C22×C4×C151—21no—
122C22×C4×C151—21no—
123C22×C4×C151—21no—
124C22×C4×C151—21no—
125C22×C4×C151—21no—
126C22×C4×C151—21no—
127C22×C4×C151—21no—
128C22×C4×C151—21no—
129C22×C4×C151—21no—
130C22×C4×C151—21no—
131C22×C4×C151—41no—
132C22×C4×C151—41no—
133C22×C4×C151M1614yes—
134C22×C4×C151C22×C411yescharacteristic
135C22×C4×C151C22×C411yescharacteristic
136C22×C4×C151C22×C411yescharacteristic
137C22×C4×C151C22×C411yescharacteristic
138C22×C4×C151C22×C411yescharacteristic
139C22×C4×C151C22×C411yescharacteristic
140C22×C4×C151C22×C411yescharacteristic
141C22×C4×C151C22×C411yescharacteristic
142C22×C4×C151C22×C411yescharacteristic
143C22×C4×C151C22×C411yescharacteristic
144C22×C4×C151C22×C411yescharacteristic
145C22×C4×C151C22×C411yescharacteristic
146C22×C4×C151C2411yescharacteristic
147C2×C8×C151—22no—
148C2×C8×C151—22no—
149C2×C8×C151—22no—
150C2×C8×C151—22no—
151C2×C8×C151—22no—
152C2×C8×C151—22no—
153C2×C8×C151—22no—
154C2×C8×C151—22no—
155C2×C8×C151—22no—
156C2×C8×C151—22no—
157C2×C8×C151—22no—
158C2×C8×C151C2×D414yes—
159C4⋊C4×C151—22no—
160C4⋊C4×C151—22no—
161C4⋊C4×C151—22no—
162C22⋊C4×C151—22no—
163C22⋊C4×C151—22no—
164C22⋊C4×C151—22no—
165C22⋊C4×C151—22no—
166C22⋊C4×C151—22no—
167C22⋊C4×C151M1614yes—
168C42×C151—22no—
169C42×C151—22no—
170C42×C151—22no—
171C42×C151—22no—
172C42×C151—22no—
173C42×C151—22no—
174C42×C151—22no—
175C42×C151—21no—
176C42×C151—21no—
177C42×C151—21no—
178C42×C151—21no—
179C42×C151—21no—
180C42×C151—21no—
181C42×C151—41no—
182C42×C151C2×D412yes—
183C42×C151#4112yes—
184C42×C151#4112yes—
185C42×C151#4112yes—
186C23×C151—21no—
187C23×C151—21no—
188C23×C151—21no—
189C23×C151—21no—
190C23×C151—21no—
191C23×C151—21no—
192C23×C151—21no—
193C23×C151—21no—
194C23×C151—21no—
195C23×C151—21no—
196C23×C151—21no—
197C23×C151—21no—
198C23×C151C2×M1612yes—
199C23×C151C2×M1612yes—
200C23×C151C23×C411yescharacteristic
201D4×C151—28no—
202C2×C4×C151—21no—
203C2×C4×C151—21no—
204C2×C4×C151—21no—
205C2×C4×C151—21no—
206C2×C4×C151—21no—
207C2×C4×C151—21no—
208C2×C4×C151—21no—
209C2×C4×C151—21no—
210C2×C4×C151—21no—
211C2×C4×C151—21no—
212C2×C4×C151—21no—
213C2×C4×C151—21no—
214C2×C4×C151—28no—
215C2×C4×C151—21no—
216C2×C4×C151—21no—
217C2×C4×C151—21no—
218C2×C4×C151—21no—
219C2×C4×C151—21no—
220C2×C4×C151—21no—
221C2×C4×C151—21no—
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—21no—
229C2×C4×C151—21no—
230C2×C4×C151—44no—
231C2×C4×C151—44no—
232C2×C4×C151—41no—
233C2×C4×C151—41no—
234C2×C4×C151—41no—
235C2×C4×C151—41no—
236C2×C4×C151—41no—
237C2×C4×C151—41no—
238C2×C4×C151—41no—
239C2×C4×C151—41no—
240C2×C4×C151—44no—
241C2×C4×C151#11712yes—
242C2×C4×C151#11712yes—
243C2×C4×C151C4×D412yes—
244C2×C4×C151C4×D412yes—
245C2×C4×C151C2×M1612yes—
246C2×C4×C151C2×M1612yes—
247C2×C4×C151C2×M1612yes—
248C2×C4×C151C2×M1612yes—
249C2×C4×C151#13112yes—
250C2×C4×C151C22×D411yescharacteristic
251C2×C4×C151C2×#4111yescharacteristic
252C2×C4×C151C2×#4111yescharacteristic
253C2×C4×C151C2×#4111yescharacteristic
254C2×C4×C151H(5,𝔽2)11yescharacteristic
255C2×C4×C1512−1+411yescharacteristic
256C8×C151—24no—
257C8×C151—42no—
258C8×C151—42no—
259C8×C151—42no—
260C22×C151—22no—
261C22×C151—22no—
262C22×C151—22no—
263C22×C151—22no—
264C22×C151—22no—
265C22×C151—22no—
266C22×C151—41no—
267C22×C151—41no—
268C22×C151—41no—
269C22×C151—41no—
270C22×C151—41no—
271C22×C151—41no—
272C22×C151—41no—
273C22×C151—41no—
274C22×C151C2×#11711yescharacteristic
275C22×C151C2×C4×D411yescharacteristic
276C22×C151#52011yescharacteristic
277C22×C151C22×M1611yescharacteristic
278C22×C151C22×M1611yescharacteristic
279C22×C151C2×#13111yescharacteristic
280C22×C151#56811yescharacteristic
281C4×C151—22no—
282C4×C151—22no—
283C4×C151—22no—
284C4×C151—22no—
285C4×C151—22no—
286C4×C151—22no—
287C4×C151—41no—
288C4×C151—41no—
289C4×C151—41no—
290C4×C151—41no—
291C4×C151—41no—
292C4×C151#43514yes—
293C4×C151#54711yescharacteristic
294C4×C151#55011yescharacteristic
295C4×C151#55511yescharacteristic
296C4×C151#55611yescharacteristic
297C2×C151—42no—
298C2×C151—42no—
299C2×C151#235411yescharacteristic
300C2×C151#292011yescharacteristic
301C2×C151#292511yescharacteristic
302C2×C151C2×#43511yescharacteristic
303C2×C151D4×M1611yescharacteristic
304C2×C151#298911yescharacteristic
305C2×C151#299011yescharacteristic
306#22797C15111yesmaximal, characteristic, direct product factor, Sylow
307C151#2279711yescharacteristic, direct product factor, Sylow
308C2×#432C2×C15111yescharacteristic, complemented
309C2×#431C2×C15111yescharacteristic, complemented
310C42×D4C2×C15111yescharacteristic
311#1955C2×C15112yes—
312#1924C2×C15112yescomplemented
313#1923C2×C15112yescomplemented
314#1842C2×C15111yescharacteristic, complemented
315#1797C2×C15111yescharacteristic, complemented
316#1797C2×C15111yescharacteristic, complemented
317#1771C2×C15112yescomplemented
318#1767C2×C15111yescharacteristic, complemented
319C2×C4×D4C4×C15111yescharacteristic
320C2×C4×D4C4×C15111yescharacteristic
321C2×C4×D4C22×C15111yescharacteristic
322C22×C42C22×C15111yescharacteristic
323C22×C42C22×C15111yescharacteristic
324#432—24no—
325#431—24no—
326C2×C4⋊C8C22×C15111yescharacteristic
327C2×C4⋊C8C22×C15111yescharacteristic
328C2×C4⋊C8C22×C15111yescharacteristic
329C2×C4⋊C8C22×C15112yes—
330C2×C4⋊C8C22×C15112yes—
331C2×C4⋊C8C22×C15111yescharacteristic
332C2×C22⋊C8C22×C15112yes—
333C2×C22⋊C8C22×C15112yes—
334C2×C22⋊C8C22×C15112yes—
335C2×C22⋊C8C22×C15112yes—
336C2×#97C22×C15112yes—
337C2×#97C22×C15112yes—
338C2×C4×C8C22×C15112yes—
339C4×C4⋊C4C4×C15111yescharacteristic
340C4×C4⋊C4C4×C15111yescharacteristic
341C4×C4⋊C4C22×C15111yescharacteristic
342C4×C22⋊C4C4×C15111yescharacteristic
343C4×C22⋊C4C4×C15111yescharacteristic
344C4×C22⋊C4C4×C15111yescharacteristic
345C4×C22⋊C4C4×C15111yescharacteristic
346C4×C22⋊C4C22×C15111yescharacteristic
347C4×C22⋊C4C22×C15111yescharacteristic
348C43C22×C15111yescharacteristic
349#336C22×C15112yes—
350#336C22×C15112yes—
351#336C22×C15112yes—
352C22×D4C2×C4×C15111yescharacteristic
353C23×C4C2×C4×C15111yescharacteristic
354C23×C4C2×C4×C15111yescharacteristic
355C23×C4C2×C4×C15111yescharacteristic
356C23×C4C2×C4×C15111yescharacteristic
357C23×C4C23×C15111yescharacteristic
358C23×C4C23×C15111yescharacteristic
359C22×C8C23×C15112yes—
360C22×C8C23×C15112yes—
361C22×C8C23×C15112yes—
362C22×C8C23×C15112yes—
363C4×D4—24no—
364C4×D4—24no—
365C4×D4—22no—
366C4×D4—22no—
367C2×C4⋊C4C2×C4×C15111yescharacteristic
368C2×C4⋊C4C2×C4×C15111yescharacteristic
369C2×C4⋊C4C2×C4×C15111yescharacteristic
370C2×C22⋊C4C2×C4×C15111yescharacteristic
371C2×C22⋊C4C2×C4×C15111yescharacteristic
372C2×C22⋊C4C2×C4×C15111yescharacteristic
373C2×C22⋊C4C2×C4×C15111yescharacteristic
374C2×C22⋊C4C2×C4×C15111yescharacteristic
375C2×C22⋊C4C2×C4×C15111yescharacteristic
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—22no—
379C2×C42—22no—
380C2×C42C2×C4×C15111yescharacteristic
381C2×C42C2×C4×C15111yescharacteristic
382C2×C42C2×C4×C15111yescharacteristic
383C2×C42C2×C4×C15111yescharacteristic
384C2×C42C2×C4×C15111yescharacteristic
385C2×C42C2×C4×C15111yescharacteristic
386C2×C42C2×C4×C15111yescharacteristic
387C2×C42C2×C4×C15111yescharacteristic
388C2×C42C23×C15111yescharacteristic
389C2×C42C23×C15111yescharacteristic
390C2×C42C23×C15111yescharacteristic
391C2×C42C23×C15111yescharacteristic
392C2×C42C23×C15111yescharacteristic
393C4⋊C8—24no—
394C4⋊C8—22no—
395C4⋊C8—22no—
396C4⋊C8—22no—
397C4⋊C8—42no—
398C4⋊C8D4×C15114yescomplemented
399C22⋊C8—24no—
400C22⋊C8—24no—
401C22⋊C8—42no—
402C22⋊C8—42no—
403#97—24no—
404#97—24no—
405C4×C8—24no—
406#95C2×C4×C15111yescharacteristic
407#95C2×C4×C15111yescharacteristic
408#95C2×C4×C15111yescharacteristic
409#95C2×C4×C15111yescharacteristic
410#95C2×C4×C15111yescharacteristic
411#95C2×C4×C15111yescharacteristic
412C24C22×C4×C15111yescharacteristic
413C24C22×C4×C15111yescharacteristic
414C2×D4—22no—
415C2×D4—22no—
416C2×D4—22no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4M16×C15114yes—
441C22×C4C22×C4×C15111yescharacteristic
442C22×C4C22×C4×C15111yescharacteristic
443C22×C4C22×C4×C15111yescharacteristic
444C22×C4C22×C4×C15111yescharacteristic
445C22×C4C22×C4×C15111yescharacteristic
446C22×C4C22×C4×C15111yescharacteristic
447C22×C4C22×C4×C15111yescharacteristic
448C22×C4C22×C4×C15111yescharacteristic
449C22×C4C22×C4×C15111yescharacteristic
450C22×C4C22×C4×C15111yescharacteristic
451C22×C4C22×C4×C15111yescharacteristic
452C22×C4C22×C4×C15111yescharacteristic
453C22×C4C24×C15111yescharacteristic
454C2×C8—22no—
455C2×C8—22no—
456C2×C8—22no—
457C2×C8—22no—
458C2×C8—22no—
459C2×C8—22no—
460C2×C8—22no—
461C2×C8—22no—
462C2×C8—22no—
463C2×C8—22no—
464C2×C8—22no—
465C2×C8C2×D4×C15114yes—
466C4⋊C4—22no—
467C4⋊C4—22no—
468C4⋊C4—22no—
469C22⋊C4—22no—
470C22⋊C4—22no—
471C22⋊C4—22no—
472C22⋊C4—22no—
473C22⋊C4—22no—
474C22⋊C4M16×C15114yes—
475C42—22no—
476C42—22no—
477C42—22no—
478C42—22no—
479C42—22no—
480C42—22no—
481C42—22no—
482C42—21no—
483C42—21no—
484C42—21no—
485C42—21no—
486C42—21no—
487C42—21no—
488C42—41no—
489C42C2×D4×C15112yes—
490C42#41×C15112yes—
491C42#41×C15112yes—
492C42#41×C15112yes—
493C23—21no—
494C23—21no—
495C23—21no—
496C23—21no—
497C23—21no—
498C23—21no—
499C23—21no—
500C23—21no—
501C23—21no—
502C23—21no—
503C23—21no—
504C23—21no—
505C23C2×M16×C15112yes—
506C23C2×M16×C15112yes—
507C23C23×C4×C15111yescharacteristic
508D4—28no—
509C2×C4—21no—
510C2×C4—21no—
511C2×C4—21no—
512C2×C4—21no—
513C2×C4—21no—
514C2×C4—21no—
515C2×C4—21no—
516C2×C4—21no—
517C2×C4—21no—
518C2×C4—21no—
519C2×C4—21no—
520C2×C4—21no—
521C2×C4—28no—
522C2×C4—21no—
523C2×C4—21no—
524C2×C4—21no—
525C2×C4—21no—
526C2×C4—21no—
527C2×C4—21no—
528C2×C4—21no—
529C2×C4—21no—
530C2×C4—21no—
531C2×C4—21no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—44no—
538C2×C4—44no—
539C2×C4—44no—
540C2×C4—41no—
541C2×C4—41no—
542C2×C4—41no—
543C2×C4—41no—
544C2×C4—41no—
545C2×C4—41no—
546C2×C4—41no—
547C2×C4—41no—
548C2×C4#117×C15112yes—
549C2×C4#117×C15112yes—
550C2×C4C4×D4×C15112yes—
551C2×C4C4×D4×C15112yes—
552C2×C4C2×M16×C15112yes—
553C2×C4C2×M16×C15112yes—
554C2×C4C2×M16×C15112yes—
555C2×C4C2×M16×C15112yes—
556C2×C4#131×C15112yes—
557C2×C4C22×D4×C15111yescharacteristic
558C2×C4C2×#41×C15111yescharacteristic
559C2×C4C2×#41×C15111yescharacteristic
560C2×C4C2×#41×C15111yescharacteristic
561C2×C4H(5,𝔽2)×C15111yescharacteristic
562C2×C42−1+4×C15111yescharacteristic
563C8—24no—
564C8—42no—
565C8—42no—
566C8—42no—
567C22—22no—
568C22—22no—
569C22—22no—
570C22—22no—
571C22—22no—
572C22—22no—
573C22—41no—
574C22—41no—
575C22—41no—
576C22—41no—
577C22—41no—
578C22—41no—
579C22—41no—
580C22—41no—
581C22C2×#117×C15111yescharacteristic
582C22C2×C4×D4×C15111yescharacteristic
583C22#520×C15111yescharacteristic
584C22C22×M16×C15111yescharacteristic
585C22C22×M16×C15111yescharacteristic
586C22C2×#131×C15111yescharacteristic
587C22#568×C15111yescharacteristic
588C4—22no—
589C4—22no—
590C4—22no—
591C4—22no—
592C4—22no—
593C4—22no—
594C4—41no—
595C4—41no—
596C4—41no—
597C4—41no—
598C4—41no—
599C4#435×C15114yes—
600C4#547×C15111yescharacteristic
601C4#550×C15111yescharacteristic
602C4#555×C15111yescharacteristic
603C4#556×C15111yescharacteristic
604C2—42no—
605C2—42no—
606C2#2354×C15111yescharacteristic
607C2#2920×C15111yescharacteristic
608C2#2925×C15111yescharacteristic
609C2C2×#435×C15111yescharacteristic
610C2D4×M16×C15111yescharacteristic
611C2#2989×C15111yescharacteristic
612C2#2990×C15111yescharacteristic
subgroupG/H
centerC22×C4×C151C24
commutatorC23C23×C4×C151
Frattini, cosocleC22×C4C24×C151
socleC23×C151C23×C4
prime radicalC22×D4×C151C2×C4
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#432×C151C2semidirect
2. C2×#431×C151C2semidirect
5. #1924×C151C2semidirect
6. #1923×C151C2semidirect
7. #1842×C151C2semidirect
8. #1797×C151C2semidirect
9. #1797×C151C2semidirect
10. #1771×C151C2semidirect
11. #1767×C151C2semidirect
91. C4⋊C8×C151D4semidirect
306. #22797C151direct (N × H)
307. C151#22797direct (N × H)
308. C2×#432C2×C151semidirect
309. C2×#431C2×C151semidirect
312. #1924C2×C151semidirect
313. #1923C2×C151semidirect
314. #1842C2×C151semidirect
315. #1797C2×C151semidirect
316. #1797C2×C151semidirect
317. #1771C2×C151semidirect
318. #1767C2×C151semidirect
398. C4⋊C8D4×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#432×C1512
C2×#431×C1512
C42×D4×C1512
#1955×C1512
#1924×C1512
#1923×C1512
#1842×C1512
#1797×C1512
#1771×C1512
#1767×C1512
#22797151