Finite Group Databasebeta

← C151×#15107 #50320032

Subgroups — C151×#15107 #50320032

Order 38656.

1678 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#400×C151C211yesmaximal, characteristic, complemented
2C2×#394×C151C211yesmaximal, characteristic
3C2×#390×C151C211yesmaximal, characteristic
4C2×C4×C4⋊C4×C151C211yesmaximal, characteristic, complemented
5#1445×C151C211yesmaximal, characteristic, complemented
6#1440×C151C212yesmaximal, complemented
7#1439×C151C212yesmaximal, complemented
8#1438×C151C211yesmaximal, characteristic
9#1437×C151C212yesmaximal, complemented
10#1437×C151C212yesmaximal, complemented
11#1434×C151C211yesmaximal, characteristic, complemented
12C23×D4×C151C2211yescharacteristic
13C22×C4⋊C4×C151C2211yescharacteristic
14C22×C4⋊C4×C151C2211yescharacteristic
15C22×C4⋊C4×C151C2211yescharacteristic
16C22×C22⋊C4×C151C2212yes—
17C22×C22⋊C4×C151C2212yes—
18C22×C22⋊C4×C151C2212yes—
19C22×C22⋊C4×C151C2212yes—
20C22×C22⋊C4×C151C2212yes—
21C22×C22⋊C4×C151C2212yes—
22C22×C42×C151C2211yescharacteristic
23C22×C42×C151C2211yescharacteristic
24C22×C42×C151C2211yescharacteristic
25#400×C151—24no—
26#394×C151—24no—
27#390×C151—24no—
28C4×C4⋊C4×C151—24no—
29C2×#95×C151C2211yescharacteristic
30C2×#95×C151C2211yescharacteristic
31C2×#95×C151C2212yes—
32C2×#95×C151C2212yes—
33C2×#95×C151C2212yes—
34C2×#95×C151C2211yescharacteristic
35C2×#95×C151C2211yescharacteristic
36C2×#95×C151C2212yes—
37C2×#95×C151C2212yes—
38C2×#95×C151C2212yes—
39C25×C151C2312yes—
40C22×D4×C151—22no—
41C22×D4×C151—22no—
42C22×D4×C151—22no—
43C22×D4×C151—24no—
44C22×D4×C151—42no—
45C23×C4×C151C2312yes—
46C23×C4×C151C2312yes—
47C23×C4×C151C2312yes—
48C23×C4×C151C2311yescharacteristic
49C23×C4×C151C2311yescharacteristic
50C23×C4×C151C2311yescharacteristic
51C23×C4×C151C2311yescharacteristic
52C23×C4×C151C2311yescharacteristic
53C23×C4×C151C2311yescharacteristic
54C23×C4×C151C2311yescharacteristic
55C2×C4⋊C4×C151—22no—
56C2×C4⋊C4×C151—22no—
57C2×C4⋊C4×C151—22no—
58C2×C4⋊C4×C151—22no—
59C2×C4⋊C4×C151—22no—
60C2×C4⋊C4×C151—22no—
61C2×C4⋊C4×C151—22no—
62C2×C4⋊C4×C151—22no—
63C2×C4⋊C4×C151D414yes—
64C2×C22⋊C4×C151—24no—
65C2×C22⋊C4×C151—24no—
66C2×C22⋊C4×C151—24no—
67C2×C22⋊C4×C151—24no—
68C2×C22⋊C4×C151—24no—
69C2×C22⋊C4×C151—24no—
70C2×C22⋊C4×C151—24no—
71C2×C22⋊C4×C151—24no—
72C2×C22⋊C4×C151—24no—
73C2×C22⋊C4×C151—24no—
74C2×C22⋊C4×C151—24no—
75C2×C22⋊C4×C151—24no—
76C2×C22⋊C4×C151—42no—
77C2×C22⋊C4×C151—42no—
78C2×C22⋊C4×C151—42no—
79C2×C22⋊C4×C151—42no—
80C2×C22⋊C4×C151—42no—
81C2×C22⋊C4×C151—42no—
82C2×C42×C151—22no—
83C2×C42×C151—22no—
84C2×C42×C151—22no—
85C2×C42×C151—22no—
86C2×C42×C151—42no—
87C2×C42×C151—42no—
88C2×C42×C151D414yes—
89#95×C151—22no—
90#95×C151—22no—
91#95×C151—22no—
92#95×C151—22no—
93#95×C151—24no—
94#95×C151—24no—
95#95×C151—24no—
96#95×C151—42no—
97#95×C151—42no—
98#95×C151—42no—
99C24×C151—22no—
100C24×C151—22no—
101C24×C151—22no—
102C24×C151—22no—
103C24×C151—22no—
104C24×C151—22no—
105C24×C151—22no—
106C24×C151—22no—
107C24×C151—22no—
108C24×C151—22no—
109C24×C151—22no—
110C24×C151—22no—
111C24×C151—22no—
112C24×C151—22no—
113C24×C151#4114yes—
114C24×C151C2411yescharacteristic
115C2×D4×C151—28no—
116C2×D4×C151—48no—
117C2×D4×C151—48no—
118C2×D4×C151—44no—
119C2×D4×C151—44no—
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—22no—
127C22×C4×C151—22no—
128C22×C4×C151—22no—
129C22×C4×C151—21no—
130C22×C4×C151—21no—
131C22×C4×C151—21no—
132C22×C4×C151—21no—
133C22×C4×C151—22no—
134C22×C4×C151—22no—
135C22×C4×C151—21no—
136C22×C4×C151—21no—
137C22×C4×C151—21no—
138C22×C4×C151—21no—
139C22×C4×C151—22no—
140C22×C4×C151—22no—
141C22×C4×C151—22no—
142C22×C4×C151—22no—
143C22×C4×C151—22no—
144C22×C4×C151—22no—
145C22×C4×C151—22no—
146C22×C4×C151—22no—
147C22×C4×C151—22no—
148C22×C4×C151—22no—
149C22×C4×C151—22no—
150C22×C4×C151—22no—
151C22×C4×C151—22no—
152C22×C4×C151—22no—
153C22×C4×C151—22no—
154C22×C4×C151—22no—
155C22×C4×C151—22no—
156C22×C4×C151—22no—
157C22×C4×C151—22no—
158C22×C4×C151—22no—
159C22×C4×C151—22no—
160C22×C4×C151—22no—
161C22×C4×C151—22no—
162C22×C4×C151—22no—
163C22×C4×C151—22no—
164C22×C4×C151—22no—
165C22×C4×C151—22no—
166C22×C4×C151C2×D412yes—
167C22×C4×C151C2×D412yes—
168C22×C4×C151C2×D412yes—
169C22×C4×C151C2×D412yes—
170C22×C4×C151C2×D412yes—
171C22×C4×C151C2×D412yes—
172C22×C4×C151#4112yes—
173C22×C4×C151#4112yes—
174C22×C4×C151#4112yes—
175C22×C4×C151#4114yes—
176C22×C4×C151#4112yes—
177C22×C4×C151#4112yes—
178C4⋊C4×C151—28no—
179C4⋊C4×C151—28no—
180C4⋊C4×C151—44no—
181C22⋊C4×C151—48no—
182C22⋊C4×C151—48no—
183C22⋊C4×C151—48no—
184C22⋊C4×C151—48no—
185C22⋊C4×C151—48no—
186C22⋊C4×C151—48no—
187C42×C151—28no—
188C42×C151—44no—
189C42×C151—44no—
190C23×C151—24no—
191C23×C151—24no—
192C23×C151—24no—
193C23×C151—24no—
194C23×C151—24no—
195C23×C151—24no—
196C23×C151—24no—
197C23×C151—42no—
198C23×C151—42no—
199C23×C151—42no—
200C23×C151—42no—
201C23×C151—42no—
202C23×C151—42no—
203C23×C151—42no—
204C23×C151—42no—
205C23×C151—42no—
206C23×C151—42no—
207C23×C151—42no—
208C23×C151—42no—
209C23×C151—42no—
210C23×C151—42no—
211C23×C151—42no—
212C23×C151—42no—
213C23×C151—42no—
214C23×C151—42no—
215C23×C151—42no—
216C23×C151—42no—
217C23×C151—42no—
218C23×C151—42no—
219C23×C151—42no—
220C23×C151—42no—
221C23×C151—42no—
222C23×C151—42no—
223C23×C151—42no—
224C23×C151—42no—
225C23×C151C22×D411yescharacteristic
226C23×C151C22×D411yescharacteristic
227C23×C151C2×#4111yescharacteristic
228C23×C151C2×#4111yescharacteristic
229C23×C151C2×#4111yescharacteristic
230C23×C151C2×#4111yescharacteristic
231C23×C151C2×#4112yes—
232C23×C151C2×#4111yescharacteristic
233C23×C151C2×#4112yes—
234C23×C151H(5,𝔽2)12yes—
235C23×C151H(5,𝔽2)12yes—
236D4×C151—416no—
237C2×C4×C151—22no—
238C2×C4×C151—22no—
239C2×C4×C151—22no—
240C2×C4×C151—22no—
241C2×C4×C151—22no—
242C2×C4×C151—22no—
243C2×C4×C151—22no—
244C2×C4×C151—22no—
245C2×C4×C151—22no—
246C2×C4×C151—22no—
247C2×C4×C151—24no—
248C2×C4×C151—24no—
249C2×C4×C151—24no—
250C2×C4×C151—24no—
251C2×C4×C151—22no—
252C2×C4×C151—22no—
253C2×C4×C151—22no—
254C2×C4×C151—22no—
255C2×C4×C151—22no—
256C2×C4×C151—22no—
257C2×C4×C151—24no—
258C2×C4×C151—24no—
259C2×C4×C151—24no—
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—42no—
267C2×C4×C151—42no—
268C2×C4×C151—42no—
269C2×C4×C151—42no—
270C2×C4×C151—42no—
271C2×C4×C151—42no—
272C2×C4×C151—42no—
273C2×C4×C151—42no—
274C2×C4×C151—42no—
275C2×C4×C151—42no—
276C2×C4×C151—42no—
277C2×C4×C151—42no—
278C2×C4×C151—42no—
279C2×C4×C151—42no—
280C2×C4×C151—42no—
281C2×C4×C151—42no—
282C2×C4×C151—42no—
283C2×C4×C151—42no—
284C2×C4×C151—42no—
285C2×C4×C151—42no—
286C2×C4×C151—42no—
287C2×C4×C151—42no—
288C2×C4×C151—42no—
289C2×C4×C151—42no—
290C2×C4×C151—42no—
291C2×C4×C151—42no—
292C2×C4×C151#12114yes—
293C2×C4×C151#12414yes—
294C2×C4×C151#12414yes—
295C22×C151—44no—
296C22×C151—44no—
297C22×C151—44no—
298C22×C151—44no—
299C22×C151—44no—
300C22×C151—44no—
301C22×C151—44no—
302C22×C151—82no—
303C22×C151—82no—
304C22×C151—82no—
305C22×C151—82no—
306C22×C151—82no—
307C22×C151—82no—
308C22×C151—82no—
309C22×C151—82no—
310C22×C151C2×#12111yescharacteristic
311C22×C151#52511yescharacteristic
312C22×C151#52511yescharacteristic
313C22×C151#52511yescharacteristic
314C22×C151C2×#12411yescharacteristic
315C22×C151C2×#12411yescharacteristic
316C22×C151#52911yescharacteristic
317C22×C151#52911yescharacteristic
318C22×C151#52912yes—
319C22×C151#52912yes—
320C22×C151#53211yescharacteristic
321C22×C151#53411yescharacteristic
322C22×C151#53511yescharacteristic
323C22×C151#53812yes—
324C22×C151#54012yes—
325C22×C151#54612yes—
326C22×C151#55012yes—
327C22×C151#55112yes—
328C22×C151#55112yes—
329C22×C151#55312yes—
330C22×C151#55312yes—
331C22×C151#55312yes—
332C22×C151#55912yes—
333C4×C151—24no—
334C4×C151—24no—
335C4×C151—24no—
336C4×C151—42no—
337C4×C151—42no—
338C4×C151—42no—
339C4×C151—42no—
340C4×C151—82no—
341C4×C151—82no—
342C4×C151—82no—
343C2×C151—84no—
344C2×C151#239811yescharacteristic
345C2×C151#249012yes—
346C2×C151#251612yes—
347C2×C151#253411yescharacteristic
348C2×C151#254811yescharacteristic
349C2×C151#255412yes—
350C2×C151#259111yescharacteristic
351C2×C151#259512yes—
352C2×C151#259811yescharacteristic
353C2×C151#263511yescharacteristic
354C2×C151#285011yescharacteristic
355#15107C15111yesmaximal, characteristic, direct product factor, Sylow
356C151#1510711yescharacteristic, direct product factor, Sylow
357C2×#400C2×C15111yescharacteristic, complemented
358C2×#394C2×C15111yescharacteristic
359C2×#390C2×C15111yescharacteristic
360C2×C4×C4⋊C4C2×C15111yescharacteristic, complemented
361#1445C2×C15111yescharacteristic, complemented
362#1440C2×C15112yescomplemented
363#1439C2×C15112yescomplemented
364#1438C2×C15111yescharacteristic
365#1437C2×C15112yescomplemented
366#1437C2×C15112yescomplemented
367#1434C2×C15111yescharacteristic, complemented
368C23×D4C22×C15111yescharacteristic
369C22×C4⋊C4C22×C15111yescharacteristic
370C22×C4⋊C4C22×C15111yescharacteristic
371C22×C4⋊C4C22×C15111yescharacteristic
372C22×C22⋊C4C22×C15112yes—
373C22×C22⋊C4C22×C15112yes—
374C22×C22⋊C4C22×C15112yes—
375C22×C22⋊C4C22×C15112yes—
376C22×C22⋊C4C22×C15112yes—
377C22×C22⋊C4C22×C15112yes—
378C22×C42C22×C15111yescharacteristic
379C22×C42C22×C15111yescharacteristic
380C22×C42C22×C15111yescharacteristic
381#400—24no—
382#394—24no—
383#390—24no—
384C4×C4⋊C4—24no—
385C2×#95C22×C15111yescharacteristic
386C2×#95C22×C15111yescharacteristic
387C2×#95C22×C15112yes—
388C2×#95C22×C15112yes—
389C2×#95C22×C15112yes—
390C2×#95C22×C15111yescharacteristic
391C2×#95C22×C15111yescharacteristic
392C2×#95C22×C15112yes—
393C2×#95C22×C15112yes—
394C2×#95C22×C15112yes—
395C25C23×C15112yes—
396C22×D4—24no—
397C22×D4—22no—
398C22×D4—22no—
399C22×D4—22no—
400C22×D4—42no—
401C23×C4C23×C15112yes—
402C23×C4C23×C15112yes—
403C23×C4C23×C15112yes—
404C23×C4C23×C15111yescharacteristic
405C23×C4C23×C15111yescharacteristic
406C23×C4C23×C15111yescharacteristic
407C23×C4C23×C15111yescharacteristic
408C23×C4C23×C15111yescharacteristic
409C23×C4C23×C15111yescharacteristic
410C23×C4C23×C15111yescharacteristic
411C2×C4⋊C4—22no—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—22no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—22no—
418C2×C4⋊C4—22no—
419C2×C4⋊C4D4×C15114yes—
420C2×C22⋊C4—24no—
421C2×C22⋊C4—24no—
422C2×C22⋊C4—24no—
423C2×C22⋊C4—24no—
424C2×C22⋊C4—24no—
425C2×C22⋊C4—24no—
426C2×C22⋊C4—24no—
427C2×C22⋊C4—24no—
428C2×C22⋊C4—24no—
429C2×C22⋊C4—24no—
430C2×C22⋊C4—24no—
431C2×C22⋊C4—24no—
432C2×C22⋊C4—42no—
433C2×C22⋊C4—42no—
434C2×C22⋊C4—42no—
435C2×C22⋊C4—42no—
436C2×C22⋊C4—42no—
437C2×C22⋊C4—42no—
438C2×C42—22no—
439C2×C42—22no—
440C2×C42—22no—
441C2×C42—22no—
442C2×C42—42no—
443C2×C42—42no—
444C2×C42D4×C15114yes—
445#95—24no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—24no—
451#95—24no—
452#95—42no—
453#95—42no—
454#95—42no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24—22no—
461C24—22no—
462C24—22no—
463C24—22no—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24#41×C15114yes—
470C24C24×C15111yescharacteristic
471C2×D4—28no—
472C2×D4—48no—
473C2×D4—48no—
474C2×D4—44no—
475C2×D4—44no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4C2×D4×C15112yes—
523C22×C4C2×D4×C15112yes—
524C22×C4C2×D4×C15112yes—
525C22×C4C2×D4×C15112yes—
526C22×C4C2×D4×C15112yes—
527C22×C4C2×D4×C15112yes—
528C22×C4#41×C15112yes—
529C22×C4#41×C15112yes—
530C22×C4#41×C15112yes—
531C22×C4#41×C15114yes—
532C22×C4#41×C15112yes—
533C22×C4#41×C15112yes—
534C4⋊C4—28no—
535C4⋊C4—28no—
536C4⋊C4—44no—
537C22⋊C4—48no—
538C22⋊C4—48no—
539C22⋊C4—48no—
540C22⋊C4—48no—
541C22⋊C4—48no—
542C22⋊C4—48no—
543C42—28no—
544C42—44no—
545C42—44no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23C22×D4×C15111yescharacteristic
582C23C22×D4×C15111yescharacteristic
583C23C2×#41×C15111yescharacteristic
584C23C2×#41×C15111yescharacteristic
585C23C2×#41×C15111yescharacteristic
586C23C2×#41×C15111yescharacteristic
587C23C2×#41×C15112yes—
588C23C2×#41×C15111yescharacteristic
589C23C2×#41×C15112yes—
590C23H(5,𝔽2)×C15112yes—
591C23H(5,𝔽2)×C15112yes—
592D4—416no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4#121×C15114yes—
649C2×C4#124×C15114yes—
650C2×C4#124×C15114yes—
651C22—44no—
652C22—44no—
653C22—44no—
654C22—44no—
655C22—44no—
656C22—44no—
657C22—44no—
658C22—82no—
659C22—82no—
660C22—82no—
661C22—82no—
662C22—82no—
663C22—82no—
664C22—82no—
665C22—82no—
666C22C2×#121×C15111yescharacteristic
667C22#525×C15111yescharacteristic
668C22#525×C15111yescharacteristic
669C22#525×C15111yescharacteristic
670C22C2×#124×C15111yescharacteristic
671C22C2×#124×C15111yescharacteristic
672C22#529×C15111yescharacteristic
673C22#529×C15111yescharacteristic
674C22#529×C15112yes—
675C22#529×C15112yes—
676C22#532×C15111yescharacteristic
677C22#534×C15111yescharacteristic
678C22#535×C15111yescharacteristic
679C22#538×C15112yes—
680C22#540×C15112yes—
681C22#546×C15112yes—
682C22#550×C15112yes—
683C22#551×C15112yes—
684C22#551×C15112yes—
685C22#553×C15112yes—
686C22#553×C15112yes—
687C22#553×C15112yes—
688C22#559×C15112yes—
689C4—24no—
690C4—24no—
691C4—24no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—42no—
696C4—82no—
697C4—82no—
698C4—82no—
699C2—84no—
700C2#2398×C15111yescharacteristic
701C2#2490×C15112yes—
702C2#2516×C15112yes—
703C2#2534×C15111yescharacteristic
704C2#2548×C15111yescharacteristic
705C2#2554×C15112yes—
706C2#2591×C15111yescharacteristic
707C2#2595×C15112yes—
708C2#2598×C15111yescharacteristic
709C2#2635×C15111yescharacteristic
710C2#2850×C15111yescharacteristic
subgroupG/H
center, socleC24×C151C24
commutator, Frattini, cosocleC24C24×C151
prime radicalC23×D4×C151C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#400×C151C2semidirect
4. C2×C4×C4⋊C4×C151C2semidirect
5. #1445×C151C2semidirect
6. #1440×C151C2semidirect
7. #1439×C151C2semidirect
9. #1437×C151C2semidirect
10. #1437×C151C2semidirect
11. #1434×C151C2semidirect
355. #15107C151direct (N × H)
356. C151#15107direct (N × H)
357. C2×#400C2×C151semidirect
360. C2×C4×C4⋊C4C2×C151semidirect
361. #1445C2×C151semidirect
362. #1440C2×C151semidirect
363. #1439C2×C151semidirect
365. #1437C2×C151semidirect
366. #1437C2×C151semidirect
367. #1434C2×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#400×C1512
C2×#394×C1512
C2×#390×C1512
C2×C4×C4⋊C4×C1512
#1445×C1512
#1440×C1512
#1439×C1512
#1438×C1512
#1437×C1512
#1434×C1512
#15107151