Finite Group Databasebeta

← C151×#13992 #50318917

Subgroups — C151×#13992 #50318917

Order 38656.

1918 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#385×C151C211yesmaximal, characteristic
2C2×#381×C151C211yesmaximal, characteristic
3C2×#381×C151C211yesmaximal, characteristic
4C2×C4×C22⋊C4×C151C211yesmaximal, characteristic
5C22×#95×C151C211yesmaximal, characteristic
6#1443×C151C212yesmaximal, complemented
7#1442×C151C212yesmaximal, complemented
8#1436×C151C212yesmaximal, complemented
9#1434×C151C212yesmaximal, complemented
10C22⋊#95×C151C211yesmaximal, characteristic
11C22⋊#95×C151C211yesmaximal, characteristic
12C24×C4×C151C2211yescharacteristic
13C24×C4×C151C2211yescharacteristic
14C24×C4×C151C2211yescharacteristic
15C22×C4⋊C4×C151C2212yes—
16C22×C22⋊C4×C151C2211yescharacteristic
17C22×C22⋊C4×C151C2211yescharacteristic
18C22×C22⋊C4×C151C2211yescharacteristic
19C22×C22⋊C4×C151C2211yescharacteristic
20C22×C42×C151C2211yescharacteristic
21C22×C42×C151C2211yescharacteristic
22#385×C151—24no—
23#381×C151—24no—
24#381×C151C418yescomplemented
25C4×C22⋊C4×C151—24no—
26C2×#95×C151—24no—
27C2×#95×C151C2212yes—
28C2×#95×C151C2212yes—
29C2×#95×C151C2212yes—
30C2×#95×C151C2212yes—
31C2×#95×C151C2212yes—
32C2×#95×C151C2212yes—
33C2×#95×C151C2211yescharacteristic
34C2×#95×C151C2212yes—
35C2×#95×C151C2211yescharacteristic
36C2×#95×C151C2212yes—
37C2×#95×C151C2212yes—
38C2×#95×C151C2212yes—
39C2×#95×C151C2212yes—
40C25×C151C2311yescharacteristic
41C23×C4×C151—24no—
42C23×C4×C151—24no—
43C23×C4×C151—22no—
44C23×C4×C151—22no—
45C23×C4×C151—22no—
46C23×C4×C151—22no—
47C23×C4×C151—22no—
48C23×C4×C151—22no—
49C23×C4×C151—22no—
50C23×C4×C151—22no—
51C23×C4×C151—22no—
52C23×C4×C151—22no—
53C23×C4×C151—22no—
54C23×C4×C151—42no—
55C23×C4×C151—42no—
56C23×C4×C151C2×C414yes—
57C23×C4×C151D414yes—
58C23×C4×C151C2312yes—
59C23×C4×C151C2312yes—
60C23×C4×C151C2311yescharacteristic
61C23×C4×C151C2311yescharacteristic
62C23×C4×C151C2312yes—
63C23×C4×C151C2311yescharacteristic
64C23×C4×C151C2311yescharacteristic
65C23×C4×C151C2311yescharacteristic
66C23×C4×C151C2312yes—
67C23×C4×C151C2311yescharacteristic
68C2×C4⋊C4×C151—24no—
69C2×C4⋊C4×C151—24no—
70C2×C4⋊C4×C151—42no—
71C2×C22⋊C4×C151—22no—
72C2×C22⋊C4×C151—22no—
73C2×C22⋊C4×C151—22no—
74C2×C22⋊C4×C151—22no—
75C2×C22⋊C4×C151—22no—
76C2×C22⋊C4×C151—22no—
77C2×C22⋊C4×C151—22no—
78C2×C22⋊C4×C151—22no—
79C2×C22⋊C4×C151—22no—
80C2×C22⋊C4×C151C2×C414yes—
81C2×C22⋊C4×C151C2×C414yes—
82C2×C22⋊C4×C151D414yes—
83C2×C42×C151—22no—
84C2×C42×C151—22no—
85C2×C42×C151—24no—
86C2×C42×C151—42no—
87#95×C151—24no—
88#95×C151—24no—
89#95×C151—22no—
90#95×C151—22no—
91#95×C151—24no—
92#95×C151—24no—
93#95×C151—24no—
94#95×C151—24no—
95#95×C151—24no—
96#95×C151—42no—
97#95×C151—42no—
98#95×C151C2×C418yescomplemented
99#95×C151C2×C418yescomplemented
100C24×C151—22no—
101C24×C151—22no—
102C24×C151—22no—
103C24×C151—22no—
104C24×C151C22×C412yes—
105C24×C151C2×D412yes—
106C24×C151C2×D412yes—
107C24×C151#4112yes—
108C24×C151#4112yes—
109C24×C151#4112yes—
110C24×C151#4112yes—
111C24×C151C2411yescharacteristic
112C22×C4×C151—21no—
113C22×C4×C151—21no—
114C22×C4×C151—22no—
115C22×C4×C151—28no—
116C22×C4×C151—28no—
117C22×C4×C151—28no—
118C22×C4×C151—28no—
119C22×C4×C151—28no—
120C22×C4×C151—22no—
121C22×C4×C151—22no—
122C22×C4×C151—22no—
123C22×C4×C151—21no—
124C22×C4×C151—21no—
125C22×C4×C151—21no—
126C22×C4×C151—21no—
127C22×C4×C151—22no—
128C22×C4×C151—22no—
129C22×C4×C151—22no—
130C22×C4×C151—22no—
131C22×C4×C151—22no—
132C22×C4×C151—22no—
133C22×C4×C151—21no—
134C22×C4×C151—21no—
135C22×C4×C151—22no—
136C22×C4×C151—21no—
137C22×C4×C151—21no—
138C22×C4×C151—22no—
139C22×C4×C151—22no—
140C22×C4×C151—22no—
141C22×C4×C151—22no—
142C22×C4×C151—22no—
143C22×C4×C151—22no—
144C22×C4×C151—21no—
145C22×C4×C151—21no—
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—28no—
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×C151—44no—
167C22×C4×C151—48no—
168C22×C4×C151—48no—
169C22×C4×C151—48no—
170C22×C4×C151—48no—
171C22×C4×C151—44no—
172C22×C4×C151—44no—
173C22×C4×C151—44no—
174C22×C4×C151—44no—
175C22×C4×C151—44no—
176C22×C4×C151—44no—
177C22×C4×C151C22×C412yes—
178C22×C4×C151C22×C414yes—
179C22×C4×C151C22×C412yes—
180C22×C4×C151C22×C414yes—
181C22×C4×C151C2×D412yes—
182C22×C4×C151C2×D412yes—
183C22×C4×C151C2×D412yes—
184C22×C4×C151C2×D412yes—
185C22×C4×C151#4114yes—
186C22×C4×C151#4114yes—
187C4⋊C4×C151—48no—
188C22⋊C4×C151—28no—
189C22⋊C4×C151—28no—
190C22⋊C4×C151—28no—
191C22⋊C4×C151—44no—
192C42×C151—44no—
193C42×C151—44no—
194C23×C151—24no—
195C23×C151—24no—
196C23×C151—22no—
197C23×C151—22no—
198C23×C151—24no—
199C23×C151—22no—
200C23×C151—22no—
201C23×C151—24no—
202C23×C151—24no—
203C23×C151—24no—
204C23×C151—24no—
205C23×C151—24no—
206C23×C151—24no—
207C23×C151—24no—
208C23×C151—24no—
209C23×C151—24no—
210C23×C151#11714yes—
211C23×C151C4×D414yes—
212C23×C151C4×D414yes—
213C23×C151#12114yes—
214C23×C151#12314yes—
215C23×C151#12414yes—
216C23×C151#12614yes—
217C23×C151C23×C411yescharacteristic
218C23×C151C22×D411yescharacteristic
219C23×C151C22×D411yescharacteristic
220C23×C151C2×#4111yescharacteristic
221C23×C151C2×#4111yescharacteristic
222C23×C151C2×#4111yescharacteristic
223C23×C151C2×#4111yescharacteristic
224C23×C151C2×#4112yes—
225C23×C151C2×#4112yes—
226C23×C151H(5,𝔽2)12yes—
227C23×C1512−1+412yes—
228C2×C4×C151—22no—
229C2×C4×C151—22no—
230C2×C4×C151—24no—
231C2×C4×C151—24no—
232C2×C4×C151—24no—
233C2×C4×C151—22no—
234C2×C4×C151—24no—
235C2×C4×C151—22no—
236C2×C4×C151—24no—
237C2×C4×C151—24no—
238C2×C4×C151—24no—
239C2×C4×C151—24no—
240C2×C4×C151—24no—
241C2×C4×C151—24no—
242C2×C4×C151—22no—
243C2×C4×C151—22no—
244C2×C4×C151—22no—
245C2×C4×C151—22no—
246C2×C4×C151—24no—
247C2×C4×C151—22no—
248C2×C4×C151—24no—
249C2×C4×C151—24no—
250C2×C4×C151—24no—
251C2×C4×C151—24no—
252C2×C4×C151—416no—
253C2×C4×C151—416no—
254C2×C4×C151—42no—
255C2×C4×C151—42no—
256C2×C4×C151—41no—
257C2×C4×C151—41no—
258C2×C4×C151—42no—
259C2×C4×C151—41no—
260C2×C4×C151—41no—
261C2×C4×C151—42no—
262C2×C4×C151—42no—
263C2×C4×C151—42no—
264C2×C4×C151—41no—
265C2×C4×C151—41no—
266C2×C4×C151—42no—
267C2×C4×C151—41no—
268C2×C4×C151—41no—
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—416no—
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#12314yes—
289C22×C151—24no—
290C22×C151—28no—
291C22×C151—28no—
292C22×C151—24no—
293C22×C151—24no—
294C22×C151—24no—
295C22×C151—28no—
296C22×C151—28no—
297C22×C151—24no—
298C22×C151—24no—
299C22×C151#38818yes—
300C22×C151C2×#11711yescharacteristic
301C22×C151C2×C4×D411yescharacteristic
302C22×C151C2×C4×D411yescharacteristic
303C22×C151C4×#4112yes—
304C22×C151#52012yes—
305C22×C151C2×#12111yescharacteristic
306C22×C151C2×#12311yescharacteristic
307C22×C151C2×#12311yescharacteristic
308C22×C151#52511yescharacteristic
309C22×C151C2×#12411yescharacteristic
310C22×C151C2×#12611yescharacteristic
311C22×C151#52912yes—
312C22×C151#53411yescharacteristic
313C22×C151#53611yescharacteristic
314C22×C151#53912yes—
315C22×C151#54612yes—
316C22×C151#54712yes—
317C22×C151#55112yes—
318C22×C151#55112yes—
319C22×C151#55112yes—
320C22×C151#55212yes—
321C22×C151#55212yes—
322C22×C151#55212yes—
323C4×C151—24no—
324C4×C151—42no—
325C4×C151—44no—
326C4×C151—42no—
327C4×C151—42no—
328C4×C151—42no—
329C4×C151—44no—
330C4×C151—44no—
331C4×C151—42no—
332C4×C151—82no—
333C2×C151—28no—
334C2×C151C2×#38811yescharacteristic
335C2×C151C4×#12311yescharacteristic
336C2×C151#232211yescharacteristic
337C2×C151#234312yes—
338C2×C151#235912yes—
339C2×C151#248311yescharacteristic
340C2×C151#248411yescharacteristic
341C2×C151#248611yescharacteristic
342C2×C151#248812yes—
343C2×C151#249312yes—
344C2×C151#253411yescharacteristic
345#13992C15111yesmaximal, characteristic, direct product factor, Sylow
346C151#1399211yescharacteristic, direct product factor, Sylow
347C2×#385C2×C15111yescharacteristic
348C2×#381C2×C15111yescharacteristic
349C2×#381C2×C15111yescharacteristic
350C2×C4×C22⋊C4C2×C15111yescharacteristic
351C22×#95C2×C15111yescharacteristic
352#1443C2×C15112yescomplemented
353#1442C2×C15112yescomplemented
354#1436C2×C15112yescomplemented
355#1434C2×C15112yescomplemented
356C22⋊#95C2×C15111yescharacteristic
357C22⋊#95C2×C15111yescharacteristic
358C24×C4C22×C15111yescharacteristic
359C24×C4C22×C15111yescharacteristic
360C24×C4C22×C15111yescharacteristic
361C22×C4⋊C4C22×C15112yes—
362C22×C22⋊C4C22×C15111yescharacteristic
363C22×C22⋊C4C22×C15111yescharacteristic
364C22×C22⋊C4C22×C15111yescharacteristic
365C22×C22⋊C4C22×C15111yescharacteristic
366C22×C42C22×C15111yescharacteristic
367C22×C42C22×C15111yescharacteristic
368#385—24no—
369#381—24no—
370#381C4×C15118yescomplemented
371C4×C22⋊C4—24no—
372C2×#95—24no—
373C2×#95C22×C15112yes—
374C2×#95C22×C15112yes—
375C2×#95C22×C15112yes—
376C2×#95C22×C15112yes—
377C2×#95C22×C15112yes—
378C2×#95C22×C15112yes—
379C2×#95C22×C15111yescharacteristic
380C2×#95C22×C15112yes—
381C2×#95C22×C15111yescharacteristic
382C2×#95C22×C15112yes—
383C2×#95C22×C15112yes—
384C2×#95C22×C15112yes—
385C2×#95C22×C15112yes—
386C25C23×C15111yescharacteristic
387C23×C4—22no—
388C23×C4—22no—
389C23×C4—22no—
390C23×C4—22no—
391C23×C4—22no—
392C23×C4—22no—
393C23×C4—22no—
394C23×C4—22no—
395C23×C4—22no—
396C23×C4—24no—
397C23×C4—24no—
398C23×C4—22no—
399C23×C4—22no—
400C23×C4—42no—
401C23×C4—42no—
402C23×C4C2×C4×C15114yes—
403C23×C4D4×C15114yes—
404C23×C4C23×C15112yes—
405C23×C4C23×C15112yes—
406C23×C4C23×C15112yes—
407C23×C4C23×C15111yescharacteristic
408C23×C4C23×C15111yescharacteristic
409C23×C4C23×C15112yes—
410C23×C4C23×C15111yescharacteristic
411C23×C4C23×C15111yescharacteristic
412C23×C4C23×C15111yescharacteristic
413C23×C4C23×C15111yescharacteristic
414C2×C4⋊C4—24no—
415C2×C4⋊C4—24no—
416C2×C4⋊C4—42no—
417C2×C22⋊C4—22no—
418C2×C22⋊C4—22no—
419C2×C22⋊C4—22no—
420C2×C22⋊C4—22no—
421C2×C22⋊C4—22no—
422C2×C22⋊C4—22no—
423C2×C22⋊C4—22no—
424C2×C22⋊C4—22no—
425C2×C22⋊C4—22no—
426C2×C22⋊C4C2×C4×C15114yes—
427C2×C22⋊C4C2×C4×C15114yes—
428C2×C22⋊C4D4×C15114yes—
429C2×C42—24no—
430C2×C42—22no—
431C2×C42—22no—
432C2×C42—42no—
433#95—24no—
434#95—24no—
435#95—24no—
436#95—24no—
437#95—22no—
438#95—22no—
439#95—24no—
440#95—24no—
441#95—24no—
442#95—42no—
443#95—42no—
444#95C2×C4×C15118yescomplemented
445#95C2×C4×C15118yescomplemented
446C24—22no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24C22×C4×C15112yes—
451C24C2×D4×C15112yes—
452C24C2×D4×C15112yes—
453C24#41×C15112yes—
454C24#41×C15112yes—
455C24#41×C15112yes—
456C24#41×C15112yes—
457C24C24×C15111yescharacteristic
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—22no—
461C22×C4—28no—
462C22×C4—28no—
463C22×C4—28no—
464C22×C4—28no—
465C22×C4—28no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
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—28no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—44no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4C22×C4×C15112yes—
524C22×C4C22×C4×C15114yes—
525C22×C4C22×C4×C15112yes—
526C22×C4C22×C4×C15114yes—
527C22×C4C2×D4×C15112yes—
528C22×C4C2×D4×C15112yes—
529C22×C4C2×D4×C15112yes—
530C22×C4C2×D4×C15112yes—
531C22×C4#41×C15114yes—
532C22×C4#41×C15114yes—
533C4⋊C4—48no—
534C22⋊C4—28no—
535C22⋊C4—28no—
536C22⋊C4—28no—
537C22⋊C4—44no—
538C42—44no—
539C42—44no—
540C23—24no—
541C23—24no—
542C23—22no—
543C23—22no—
544C23—24no—
545C23—22no—
546C23—22no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23#117×C15114yes—
557C23C4×D4×C15114yes—
558C23C4×D4×C15114yes—
559C23#121×C15114yes—
560C23#123×C15114yes—
561C23#124×C15114yes—
562C23#126×C15114yes—
563C23C23×C4×C15111yescharacteristic
564C23C22×D4×C15111yescharacteristic
565C23C22×D4×C15111yescharacteristic
566C23C2×#41×C15111yescharacteristic
567C23C2×#41×C15111yescharacteristic
568C23C2×#41×C15111yescharacteristic
569C23C2×#41×C15111yescharacteristic
570C23C2×#41×C15112yes—
571C23C2×#41×C15112yes—
572C23H(5,𝔽2)×C15112yes—
573C232−1+4×C15112yes—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—24no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—416no—
599C2×C4—416no—
600C2×C4—416no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—42no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
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#123×C15114yes—
635C22—28no—
636C22—28no—
637C22—24no—
638C22—24no—
639C22—24no—
640C22—28no—
641C22—28no—
642C22—24no—
643C22—24no—
644C22—24no—
645C22#388×C15118yes—
646C22C2×#117×C15111yescharacteristic
647C22C2×C4×D4×C15111yescharacteristic
648C22C2×C4×D4×C15111yescharacteristic
649C22C4×#41×C15112yes—
650C22#520×C15112yes—
651C22C2×#121×C15111yescharacteristic
652C22C2×#123×C15111yescharacteristic
653C22C2×#123×C15111yescharacteristic
654C22#525×C15111yescharacteristic
655C22C2×#124×C15111yescharacteristic
656C22C2×#126×C15111yescharacteristic
657C22#529×C15112yes—
658C22#534×C15111yescharacteristic
659C22#536×C15111yescharacteristic
660C22#539×C15112yes—
661C22#546×C15112yes—
662C22#547×C15112yes—
663C22#551×C15112yes—
664C22#551×C15112yes—
665C22#551×C15112yes—
666C22#552×C15112yes—
667C22#552×C15112yes—
668C22#552×C15112yes—
669C4—24no—
670C4—44no—
671C4—42no—
672C4—42no—
673C4—44no—
674C4—42no—
675C4—44no—
676C4—42no—
677C4—42no—
678C4—82no—
679C2—28no—
680C2C2×#388×C15111yescharacteristic
681C2C4×#123×C15111yescharacteristic
682C2#2322×C15111yescharacteristic
683C2#2343×C15112yes—
684C2#2359×C15112yes—
685C2#2483×C15111yescharacteristic
686C2#2484×C15111yescharacteristic
687C2#2486×C15111yescharacteristic
688C2#2488×C15112yes—
689C2#2493×C15112yes—
690C2#2534×C15111yescharacteristic
subgroupG/H
center, socleC24×C151C24
commutatorC23C23×C4×C151
Frattini, cosocleC24C24×C151
prime radicalC25×C151C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C151 ◁ G

Complements

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

NH ≅ G/Ntype
6. #1443×C151C2semidirect
7. #1442×C151C2semidirect
8. #1436×C151C2semidirect
9. #1434×C151C2semidirect
24. #381×C151C4semidirect
98. #95×C151C2×C4semidirect
99. #95×C151C2×C4semidirect
345. #13992C151direct (N × H)
346. C151#13992direct (N × H)
352. #1443C2×C151semidirect
353. #1442C2×C151semidirect
354. #1436C2×C151semidirect
355. #1434C2×C151semidirect
370. #381C4×C151semidirect
444. #95C2×C4×C151semidirect
445. #95C2×C4×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#385×C1512
C2×#381×C1512
C2×C4×C22⋊C4×C1512
C22×#95×C1512
#1443×C1512
#1442×C1512
#1436×C1512
#1434×C1512
C22⋊#95×C1512
#13992151