Finite Group Databasebeta

← C151×#14907 #50319832

Subgroups — C151×#14907 #50319832

Order 38656.

1886 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#117×C151C211yesmaximal, characteristic
2C2×#398×C151C211yesmaximal, characteristic, complemented
3C2×#397×C151C211yesmaximal, characteristic
4C2×#389×C151C211yesmaximal, characteristic, complemented
5C2×#385×C151C212yesmaximal
6#1441×C151C211yesmaximal, characteristic, complemented
7#1441×C151C212yesmaximal, complemented
8#1440×C151C212yesmaximal
9#1439×C151C211yesmaximal, characteristic
10#1436×C151C212yesmaximal, complemented
11#1434×C151C211yesmaximal, characteristic, complemented
12C24×C4×C151C2211yescharacteristic
13C2×#117×C151—24no—
14C2×#117×C151—24no—
15C2×#117×C151—24no—
16C22×C4⋊C4×C151C2211yescharacteristic
17C22×C4⋊C4×C151C2212yes—
18C22×C4⋊C4×C151C2211yescharacteristic
19C22×C4⋊C4×C151C2212yes—
20C22×C4⋊C4×C151C2211yescharacteristic
21C22×C4⋊C4×C151C2211yescharacteristic
22C22×C22⋊C4×C151C2212yes—
23C22×C22⋊C4×C151C2211yescharacteristic
24C22×C22⋊C4×C151C2212yes—
25C22×C22⋊C4×C151C2211yescharacteristic
26C22×C42×C151C2211yescharacteristic
27C22×C42×C151C2211yescharacteristic
28#398×C151—24no—
29#397×C151—24no—
30#389×C151—24no—
31#385×C151—28no—
32C2×#95×C151C2211yescharacteristic
33C2×#95×C151C2212yes—
34C2×#95×C151C2211yescharacteristic
35C2×#95×C151C2212yes—
36C2×#95×C151C2212yes—
37C2×#95×C151C2212yes—
38C2×#95×C151C2212yes—
39C2×#95×C151C2212yes—
40C2×#95×C151C2212yes—
41C2×#95×C151C2212yes—
42C25×C151C2311yescharacteristic
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×C151D414yes—
50C23×C4×C151C2312yes—
51C23×C4×C151C2312yes—
52C23×C4×C151C2311yescharacteristic
53C23×C4×C151C2311yescharacteristic
54C23×C4×C151C2311yescharacteristic
55C23×C4×C151C2312yes—
56C23×C4×C151C2312yes—
57C23×C4×C151C2311yescharacteristic
58C23×C4×C151C2311yescharacteristic
59C23×C4×C151C2311yescharacteristic
60#117×C151—232no—
61C2×C4⋊C4×C151—22no—
62C2×C4⋊C4×C151—22no—
63C2×C4⋊C4×C151—22no—
64C2×C4⋊C4×C151—22no—
65C2×C4⋊C4×C151—22no—
66C2×C4⋊C4×C151—22no—
67C2×C4⋊C4×C151—24no—
68C2×C4⋊C4×C151—24no—
69C2×C4⋊C4×C151—24no—
70C2×C4⋊C4×C151—22no—
71C2×C4⋊C4×C151—24no—
72C2×C4⋊C4×C151—22no—
73C2×C4⋊C4×C151—22no—
74C2×C4⋊C4×C151—24no—
75C2×C4⋊C4×C151—24no—
76C2×C4⋊C4×C151—24no—
77C2×C4⋊C4×C151D414yes—
78C2×C22⋊C4×C151—22no—
79C2×C22⋊C4×C151—22no—
80C2×C22⋊C4×C151—22no—
81C2×C22⋊C4×C151—22no—
82C2×C22⋊C4×C151—24no—
83C2×C22⋊C4×C151—24no—
84C2×C22⋊C4×C151—24no—
85C2×C22⋊C4×C151—22no—
86C2×C22⋊C4×C151—24no—
87C2×C22⋊C4×C151—24no—
88C2×C22⋊C4×C151—24no—
89C2×C22⋊C4×C151D414yes—
90C2×C42×C151—22no—
91C2×C42×C151—22no—
92C2×C42×C151—22no—
93C2×C42×C151—22no—
94C2×C42×C151—22no—
95C2×C42×C151D414yes—
96#95×C151—24no—
97#95×C151—24no—
98#95×C151—24no—
99#95×C151—22no—
100#95×C151—24no—
101#95×C151—22no—
102#95×C151—24no—
103#95×C151—24no—
104#95×C151—24no—
105#95×C151—24no—
106C24×C151—21no—
107C24×C151—21no—
108C24×C151—22no—
109C24×C151—22no—
110C24×C151—21no—
111C24×C151—21no—
112C24×C151—22no—
113C24×C151—22no—
114C24×C151C2×D412yes—
115C24×C151C2×D412yes—
116C24×C151#4112yes—
117C24×C151C2411yescharacteristic
118C22×C4×C151—28no—
119C22×C4×C151—28no—
120C22×C4×C151—28no—
121C22×C4×C151—28no—
122C22×C4×C151—28no—
123C22×C4×C151—21no—
124C22×C4×C151—21no—
125C22×C4×C151—21no—
126C22×C4×C151—21no—
127C22×C4×C151—22no—
128C22×C4×C151—21no—
129C22×C4×C151—21no—
130C22×C4×C151—21no—
131C22×C4×C151—21no—
132C22×C4×C151—22no—
133C22×C4×C151—28no—
134C22×C4×C151—28no—
135C22×C4×C151—22no—
136C22×C4×C151—22no—
137C22×C4×C151—22no—
138C22×C4×C151—22no—
139C22×C4×C151—21no—
140C22×C4×C151—21no—
141C22×C4×C151—21no—
142C22×C4×C151—21no—
143C22×C4×C151—21no—
144C22×C4×C151—21no—
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×C151—22no—
167C22×C4×C151—22no—
168C22×C4×C151—22no—
169C22×C4×C151—22no—
170C22×C4×C151—22no—
171C22×C4×C151—22no—
172C22×C4×C151—22no—
173C22×C4×C151C2×D412yes—
174C22×C4×C151C2×D412yes—
175C22×C4×C151C2×D412yes—
176C22×C4×C151C2×D412yes—
177C22×C4×C151C2×D412yes—
178C22×C4×C151C2×D412yes—
179C22×C4×C151C2×D412yes—
180C22×C4×C151C2×D412yes—
181C22×C4×C151C2×D412yes—
182C22×C4×C151C2×D412yes—
183C22×C4×C151#4114yes—
184C22×C4×C151#4114yes—
185C22×C4×C151#4112yes—
186C22×C4×C151#4112yes—
187C4⋊C4×C151—28no—
188C4⋊C4×C151—28no—
189C4⋊C4×C151—28no—
190C4⋊C4×C151—44no—
191C4⋊C4×C151—48no—
192C4⋊C4×C151—48no—
193C22⋊C4×C151—216no—
194C22⋊C4×C151—28no—
195C22⋊C4×C151—28no—
196C22⋊C4×C151—48no—
197C42×C151—28no—
198C42×C151—28no—
199C23×C151—22no—
200C23×C151—22no—
201C23×C151—22no—
202C23×C151—24no—
203C23×C151—22no—
204C23×C151—22no—
205C23×C151—22no—
206C23×C151—24no—
207C23×C151—24no—
208C23×C151—24no—
209C23×C151—24no—
210C23×C151—24no—
211C23×C151—41no—
212C23×C151—42no—
213C23×C151—41no—
214C23×C151—41no—
215C23×C151—41no—
216C23×C151—42no—
217C23×C151—42no—
218C23×C151—42no—
219C23×C151—42no—
220C23×C151—42no—
221C23×C151#12114yes—
222C23×C151C22×D411yescharacteristic
223C23×C151C22×D411yescharacteristic
224C23×C151C22×D411yescharacteristic
225C23×C151C22×D411yescharacteristic
226C23×C151C2×#4111yescharacteristic
227C23×C151C2×#4111yescharacteristic
228C23×C151C2×#4111yescharacteristic
229C23×C151C2×#4112yes—
230C23×C151C2×#4112yes—
231C23×C1512−1+412yes—
232C23×C1512−1+412yes—
233C2×C4×C151—232no—
234C2×C4×C151—22no—
235C2×C4×C151—22no—
236C2×C4×C151—22no—
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—22no—
248C2×C4×C151—24no—
249C2×C4×C151—24no—
250C2×C4×C151—22no—
251C2×C4×C151—22no—
252C2×C4×C151—22no—
253C2×C4×C151—24no—
254C2×C4×C151—24no—
255C2×C4×C151—24no—
256C2×C4×C151—24no—
257C2×C4×C151—22no—
258C2×C4×C151—22no—
259C2×C4×C151—24no—
260C2×C4×C151—24no—
261C2×C4×C151—24no—
262C2×C4×C151—24no—
263C2×C4×C151—42no—
264C2×C4×C151—42no—
265C2×C4×C151—42no—
266C2×C4×C151—41no—
267C2×C4×C151—42no—
268C2×C4×C151—42no—
269C2×C4×C151—41no—
270C2×C4×C151—41no—
271C2×C4×C151—42no—
272C2×C4×C151—41no—
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—42no—
293C2×C4×C151#12014yes—
294C2×C4×C151#12114yes—
295C2×C4×C151#12114yes—
296C22×C151—24no—
297C22×C151—28no—
298C22×C151—42no—
299C22×C151—42no—
300C22×C151—42no—
301C22×C151—42no—
302C22×C151—42no—
303C22×C151—44no—
304C22×C151—42no—
305C22×C151—44no—
306C22×C151—44no—
307C22×C151C2×#12011yescharacteristic
308C22×C151C2×#12111yescharacteristic
309C22×C151C2×#12111yescharacteristic
310C22×C151C2×#12111yescharacteristic
311C22×C151#52511yescharacteristic
312C22×C151#52511yescharacteristic
313C22×C151#52511yescharacteristic
314C22×C151#52511yescharacteristic
315C22×C151#52512yes—
316C22×C151#52912yes—
317C22×C151#53211yescharacteristic
318C22×C151#53611yescharacteristic
319C22×C151#53611yescharacteristic
320C22×C151#53612yes—
321C22×C151#54112yes—
322C22×C151#54712yes—
323C22×C151#54712yes—
324C22×C151#54712yes—
325C22×C151#54812yes—
326C22×C151#55212yes—
327C22×C151#55212yes—
328C22×C151#55212yes—
329C22×C151#55612yes—
330C4×C151—24no—
331C4×C151—24no—
332C4×C151—24no—
333C4×C151—44no—
334C4×C151—42no—
335C4×C151—44no—
336C4×C151—42no—
337C4×C151—42no—
338C4×C151—82no—
339C4×C151—82no—
340C2×C151—44no—
341C2×C151#239211yescharacteristic
342C2×C151#240611yescharacteristic
343C2×C151#241312yes—
344C2×C151#241512yes—
345C2×C151#243211yescharacteristic
346C2×C151#247512yes—
347C2×C151#247812yes—
348C2×C151#259911yescharacteristic
349C2×C151#261111yescharacteristic
350C2×C151#262111yescharacteristic
351C2×C151#284711yescharacteristic
352#14907C15111yesmaximal, characteristic, direct product factor, Sylow
353C151#1490711yescharacteristic, direct product factor, Sylow
354C22×#117C2×C15111yescharacteristic
355C2×#398C2×C15111yescharacteristic, complemented
356C2×#397C2×C15111yescharacteristic
357C2×#389C2×C15111yescharacteristic, complemented
358C2×#385C2×C15112yes—
359#1441C2×C15112yescomplemented
360#1441C2×C15111yescharacteristic, complemented
361#1440C2×C15112yes—
362#1439C2×C15111yescharacteristic
363#1436C2×C15112yescomplemented
364#1434C2×C15111yescharacteristic, complemented
365C24×C4C22×C15111yescharacteristic
366C2×#117—24no—
367C2×#117—24no—
368C2×#117—24no—
369C22×C4⋊C4C22×C15111yescharacteristic
370C22×C4⋊C4C22×C15112yes—
371C22×C4⋊C4C22×C15111yescharacteristic
372C22×C4⋊C4C22×C15112yes—
373C22×C4⋊C4C22×C15111yescharacteristic
374C22×C4⋊C4C22×C15111yescharacteristic
375C22×C22⋊C4C22×C15112yes—
376C22×C22⋊C4C22×C15111yescharacteristic
377C22×C22⋊C4C22×C15112yes—
378C22×C22⋊C4C22×C15111yescharacteristic
379C22×C42C22×C15111yescharacteristic
380C22×C42C22×C15111yescharacteristic
381#398—24no—
382#397—24no—
383#389—24no—
384#385—28no—
385C2×#95C22×C15111yescharacteristic
386C2×#95C22×C15112yes—
387C2×#95C22×C15111yescharacteristic
388C2×#95C22×C15112yes—
389C2×#95C22×C15112yes—
390C2×#95C22×C15112yes—
391C2×#95C22×C15112yes—
392C2×#95C22×C15112yes—
393C2×#95C22×C15112yes—
394C2×#95C22×C15112yes—
395C25C23×C15111yescharacteristic
396C23×C4—22no—
397C23×C4—22no—
398C23×C4—22no—
399C23×C4—22no—
400C23×C4—22no—
401C23×C4—22no—
402C23×C4D4×C15114yes—
403C23×C4C23×C15112yes—
404C23×C4C23×C15112yes—
405C23×C4C23×C15112yes—
406C23×C4C23×C15112yes—
407C23×C4C23×C15111yescharacteristic
408C23×C4C23×C15111yescharacteristic
409C23×C4C23×C15111yescharacteristic
410C23×C4C23×C15111yescharacteristic
411C23×C4C23×C15111yescharacteristic
412C23×C4C23×C15111yescharacteristic
413#117—232no—
414C2×C4⋊C4—24no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—22no—
418C2×C4⋊C4—22no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—24no—
422C2×C4⋊C4—24no—
423C2×C4⋊C4—24no—
424C2×C4⋊C4—24no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—24no—
427C2×C4⋊C4—22no—
428C2×C4⋊C4—22no—
429C2×C4⋊C4—24no—
430C2×C4⋊C4D4×C15114yes—
431C2×C22⋊C4—22no—
432C2×C22⋊C4—24no—
433C2×C22⋊C4—24no—
434C2×C22⋊C4—24no—
435C2×C22⋊C4—22no—
436C2×C22⋊C4—22no—
437C2×C22⋊C4—22no—
438C2×C22⋊C4—22no—
439C2×C22⋊C4—24no—
440C2×C22⋊C4—24no—
441C2×C22⋊C4—24no—
442C2×C22⋊C4D4×C15114yes—
443C2×C42—22no—
444C2×C42—22no—
445C2×C42—22no—
446C2×C42—22no—
447C2×C42—22no—
448C2×C42D4×C15114yes—
449#95—24no—
450#95—24no—
451#95—24no—
452#95—24no—
453#95—24no—
454#95—24no—
455#95—22no—
456#95—24no—
457#95—22no—
458#95—24no—
459C24—21no—
460C24—21no—
461C24—22no—
462C24—22no—
463C24—21no—
464C24—21no—
465C24—22no—
466C24—22no—
467C24C2×D4×C15112yes—
468C24C2×D4×C15112yes—
469C24#41×C15112yes—
470C24C24×C15111yescharacteristic
471C22×C4—28no—
472C22×C4—28no—
473C22×C4—28no—
474C22×C4—28no—
475C22×C4—28no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—28no—
487C22×C4—28no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
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×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4C2×D4×C15112yes—
527C22×C4C2×D4×C15112yes—
528C22×C4C2×D4×C15112yes—
529C22×C4C2×D4×C15112yes—
530C22×C4C2×D4×C15112yes—
531C22×C4C2×D4×C15112yes—
532C22×C4C2×D4×C15112yes—
533C22×C4C2×D4×C15112yes—
534C22×C4C2×D4×C15112yes—
535C22×C4C2×D4×C15112yes—
536C22×C4#41×C15114yes—
537C22×C4#41×C15114yes—
538C22×C4#41×C15112yes—
539C22×C4#41×C15112yes—
540C4⋊C4—28no—
541C4⋊C4—28no—
542C4⋊C4—28no—
543C4⋊C4—44no—
544C4⋊C4—48no—
545C4⋊C4—48no—
546C22⋊C4—28no—
547C22⋊C4—216no—
548C22⋊C4—28no—
549C22⋊C4—48no—
550C42—28no—
551C42—28no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—24no—
556C23—22no—
557C23—22no—
558C23—22no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—41no—
565C23—42no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23#121×C15114yes—
575C23C22×D4×C15111yescharacteristic
576C23C22×D4×C15111yescharacteristic
577C23C22×D4×C15111yescharacteristic
578C23C22×D4×C15111yescharacteristic
579C23C2×#41×C15111yescharacteristic
580C23C2×#41×C15111yescharacteristic
581C23C2×#41×C15111yescharacteristic
582C23C2×#41×C15112yes—
583C23C2×#41×C15112yes—
584C232−1+4×C15112yes—
585C232−1+4×C15112yes—
586C2×C4—232no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
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—24no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—41no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—42no—
625C2×C4—41no—
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#120×C15114yes—
647C2×C4#121×C15114yes—
648C2×C4#121×C15114yes—
649C22—24no—
650C22—28no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—44no—
657C22—42no—
658C22—44no—
659C22—44no—
660C22C2×#120×C15111yescharacteristic
661C22C2×#121×C15111yescharacteristic
662C22C2×#121×C15111yescharacteristic
663C22C2×#121×C15111yescharacteristic
664C22#525×C15111yescharacteristic
665C22#525×C15111yescharacteristic
666C22#525×C15111yescharacteristic
667C22#525×C15111yescharacteristic
668C22#525×C15112yes—
669C22#529×C15112yes—
670C22#532×C15111yescharacteristic
671C22#536×C15111yescharacteristic
672C22#536×C15111yescharacteristic
673C22#536×C15112yes—
674C22#541×C15112yes—
675C22#547×C15112yes—
676C22#547×C15112yes—
677C22#547×C15112yes—
678C22#548×C15112yes—
679C22#552×C15112yes—
680C22#552×C15112yes—
681C22#552×C15112yes—
682C22#556×C15112yes—
683C4—24no—
684C4—24no—
685C4—24no—
686C4—44no—
687C4—42no—
688C4—44no—
689C4—42no—
690C4—42no—
691C4—82no—
692C4—82no—
693C2—44no—
694C2#2392×C15111yescharacteristic
695C2#2406×C15111yescharacteristic
696C2#2413×C15112yes—
697C2#2415×C15112yes—
698C2#2432×C15111yescharacteristic
699C2#2475×C15112yes—
700C2#2478×C15112yes—
701C2#2599×C15111yescharacteristic
702C2#2611×C15111yescharacteristic
703C2#2621×C15111yescharacteristic
704C2#2847×C15111yescharacteristic
subgroupG/H
center, socleC24×C151C24
commutator, Frattini, cosocleC24C24×C151
prime radicalC25×C151C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#398×C151C2semidirect
4. C2×#389×C151C2semidirect
6. #1441×C151C2semidirect
7. #1441×C151C2semidirect
10. #1436×C151C2semidirect
11. #1434×C151C2semidirect
352. #14907C151direct (N × H)
353. C151#14907direct (N × H)
355. C2×#398C2×C151semidirect
357. C2×#389C2×C151semidirect
359. #1441C2×C151semidirect
360. #1441C2×C151semidirect
363. #1436C2×C151semidirect
364. #1434C2×C151semidirect

Maximal subgroups

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

subgroupindex
C22×#117×C1512
C2×#398×C1512
C2×#397×C1512
C2×#389×C1512
C2×#385×C1512
#1441×C1512
#1440×C1512
#1439×C1512
#1436×C1512
#1434×C1512
#14907151