Finite Group Databasebeta

← C151×#23958 #50328883

Subgroups — C151×#23958 #50328883

Order 38656.

1174 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3495×C151C211yesmaximal, characteristic
2#3004×C151C211yesmaximal, characteristic
3C2×#419×C151C211yesmaximal, characteristic, complemented
4#2434×C151C211yesmaximal, characteristic, complemented
5#2028×C151C212yesmaximal, complemented
6#2005×C151C212yesmaximal, complemented
7#1901×C151C211yesmaximal, characteristic, complemented
8#1886×C151C212yesmaximal, complemented
9#1882×C151C212yesmaximal, complemented
10#1871×C151C211yesmaximal, characteristic
11#1826×C151C211yesmaximal, characteristic, complemented
12C23×Q8×C151C2211yescharacteristic
13C2×#137×C151C2212yes—
14C22×M16×C151C2211yescharacteristic
15#556×C151—21no—
16#554×C151—21no—
17#552×C151—21no—
18#552×C151—22no—
19#552×C151—21no—
20#551×C151—22no—
21#544×C151C2211yescharacteristic
22#542×C151—21no—
23#541×C151—21no—
24#536×C151C2211yescharacteristic
25#533×C151—21no—
26C2×C4⋊Q8×C151C2212yes—
27#529×C151—21no—
28#525×C151C2211yescharacteristic
29C2×C22⋊Q8×C151C2211yescharacteristic
30#520×C151C2211yescharacteristic
31#519×C151C2211yescharacteristic
32C2×#117×C151C2211yescharacteristic
33#451×C151—21no—
34#451×C151—21no—
35#448×C151—21no—
36#448×C151—21no—
37C2×#104×C151C2212yes—
38#419×C151—21no—
39#419×C151—21no—
40#419×C151C2212yes—
41#419×C151C2212yes—
42#419×C151C2212yes—
43C2×#103×C151—21no—
44C2×#103×C151—21no—
45C2×#101×C151C2212yes—
46#407×C151C2211yescharacteristic
47#395×C151—22no—
48#391×C151C2212yes—
49#385×C151—22no—
50C4×C22⋊C4×C151C2211yescharacteristic
51#343×C151C2212yes—
52#339×C151C2212yes—
53#339×C151C2212yes—
54#339×C151C2212yes—
55C2×#41×C151C2311yescharacteristic
56C22×Q8×C151—21no—
57C22×Q8×C151—21no—
58C22×Q8×C151—24no—
59C22×Q8×C151—21no—
60C22×Q8×C151—21no—
61C22×Q8×C151—21no—
62C22×Q8×C151—42no—
63C22×Q8×C151C2311yescharacteristic
64C22×Q8×C151C2312yes—
65C23×C4×C151—21no—
66C23×C4×C151C2311yescharacteristic
67#137×C151—24no—
68#137×C151—42no—
69C2×Q16×C151—22no—
70C2×SD16×C151—22no—
71C2×M16×C151—21no—
72C2×M16×C151—42no—
73C2×M16×C151C2312yes—
74C2×M16×C151C2312yes—
75C22×C8×C151—21no—
76C4⋊Q8×C151—21no—
77C4⋊Q8×C151—21no—
78C4⋊Q8×C151—21no—
79C4⋊Q8×C151—24no—
80C4⋊Q8×C151—42no—
81#126×C151—22no—
82#126×C151—22no—
83#126×C151—22no—
84#126×C151—22no—
85#125×C151—22no—
86#125×C151—22no—
87#125×C151—22no—
88#125×C151—21no—
89#125×C151—21no—
90#124×C151—22no—
91#124×C151—21no—
92#123×C151—22no—
93#123×C151—22no—
94#123×C151—21no—
95#123×C151—22no—
96C22⋊Q8×C151—22no—
97C22⋊Q8×C151—22no—
98C22⋊Q8×C151—21no—
99C22⋊Q8×C151—21no—
100C22⋊Q8×C151—21no—
101C22⋊Q8×C151—21no—
102C22⋊Q8×C151—22no—
103C22⋊Q8×C151—21no—
104C22⋊Q8×C151—21no—
105C22⋊Q8×C151D411yescharacteristic
106C22⋊Q8×C151D411yescharacteristic
107#121×C151D411yescharacteristic
108#121×C151D411yescharacteristic
109#120×C151—21no—
110C4×Q8×C151—22no—
111C4×Q8×C151—21no—
112C4×Q8×C151—21no—
113C4×Q8×C151—21no—
114C4×Q8×C151—21no—
115C4×Q8×C151—21no—
116C4×D4×C151—22no—
117C4×D4×C151—21no—
118C4×D4×C151—22no—
119C4×D4×C151—21no—
120C4×D4×C151—21no—
121#117×C151—22no—
122#117×C151—22no—
123#117×C151—21no—
124#117×C151—21no—
125#117×C151—22no—
126#117×C151—21no—
127#117×C151D411yescharacteristic
128#117×C151D411yescharacteristic
129#117×C151C2311yescharacteristic
130#117×C151C2311yescharacteristic
131#117×C151C2311yescharacteristic
132C2×C4⋊C4×C151—21no—
133C2×C4⋊C4×C151—24no—
134C2×C4⋊C4×C151D412yes—
135C2×C4⋊C4×C151D411yescharacteristic
136C2×C4⋊C4×C151D411yescharacteristic
137C2×C4⋊C4×C151C2311yescharacteristic
138C2×C22⋊C4×C151—21no—
139C2×C22⋊C4×C151—21no—
140C2×C22⋊C4×C151D412yes—
141C2×C42×C151—21no—
142C2×C42×C151C2312yes—
143#104×C151—42no—
144#103×C151—22no—
145#103×C151—22no—
146#103×C151—22no—
147#103×C151—22no—
148#103×C151—22no—
149#103×C151—22no—
150#101×C151—42no—
151C22⋊C8×C151—21no—
152C22⋊C8×C151—21no—
153#95×C151—21no—
154#95×C151—24no—
155C24×C151C2×D411yescharacteristic
156#41×C151—22no—
157#41×C151—22no—
158C2×Q8×C151—22no—
159C2×Q8×C151—21no—
160C2×Q8×C151—21no—
161C2×Q8×C151—22no—
162C2×Q8×C151—22no—
163C2×Q8×C151—22no—
164C2×Q8×C151—24no—
165C2×Q8×C151—24no—
166C2×Q8×C151—22no—
167C2×Q8×C151—22no—
168C2×Q8×C151—22no—
169C2×Q8×C151—22no—
170C2×Q8×C151—44no—
171C2×Q8×C151—44no—
172C2×Q8×C151—44no—
173C2×Q8×C151—42no—
174C2×Q8×C151—42no—
175C2×Q8×C151—41no—
176C2×Q8×C151—41no—
177C2×Q8×C151C2×D411yescharacteristic
178C2×Q8×C151#4114yes—
179C2×D4×C151—21no—
180C2×D4×C151—21no—
181C2×D4×C151—21no—
182C2×D4×C151C2×D411yescharacteristic
183C22×C4×C151—22no—
184C22×C4×C151—22no—
185C22×C4×C151—21no—
186C22×C4×C151—22no—
187C22×C4×C151—22no—
188C22×C4×C151—22no—
189C22×C4×C151—21no—
190C22×C4×C151—21no—
191C22×C4×C151—44no—
192C22×C4×C151—41no—
193C22×C4×C151—41no—
194C22×C4×C151C2×D412yes—
195C22×C4×C151C2×D411yescharacteristic
196C22×C4×C151C2×D411yescharacteristic
197C22×C4×C151C2×D411yescharacteristic
198C22×C4×C151C2×D411yescharacteristic
199C22×C4×C151C2×D411yescharacteristic
200C22×C4×C151C2×D412yes—
201C22×C4×C151C2411yescharacteristic
202Q16×C151—44no—
203SD16×C151—44no—
204M16×C151—22no—
205M16×C151—22no—
206M16×C151—22no—
207M16×C151—22no—
208M16×C151—42no—
209C2×C8×C151—22no—
210C2×C8×C151—22no—
211C2×C8×C151—42no—
212C4⋊C4×C151—22no—
213C4⋊C4×C151—22no—
214C4⋊C4×C151—22no—
215C4⋊C4×C151—22no—
216C4⋊C4×C151—22no—
217C4⋊C4×C151—22no—
218C4⋊C4×C151—22no—
219C4⋊C4×C151—22no—
220C4⋊C4×C151—21no—
221C4⋊C4×C151—21no—
222C4⋊C4×C151—22no—
223C4⋊C4×C151—22no—
224C4⋊C4×C151—21no—
225C4⋊C4×C151—21no—
226C4⋊C4×C151—21no—
227C4⋊C4×C151—21no—
228C4⋊C4×C151—48no—
229C4⋊C4×C151C2×D411yescharacteristic
230C4⋊C4×C151C2×D411yescharacteristic
231C4⋊C4×C151C2×D411yescharacteristic
232C4⋊C4×C151C2×D411yescharacteristic
233C4⋊C4×C151C2×D411yescharacteristic
234C4⋊C4×C151C2×D411yescharacteristic
235C22⋊C4×C151—24no—
236C22⋊C4×C151—22no—
237C22⋊C4×C151—22no—
238C22⋊C4×C151—22no—
239C22⋊C4×C151—21no—
240C22⋊C4×C151—21no—
241C22⋊C4×C151—22no—
242C22⋊C4×C151—22no—
243C22⋊C4×C151—21no—
244C22⋊C4×C151—21no—
245C22⋊C4×C151—21no—
246C22⋊C4×C151—21no—
247C22⋊C4×C151—21no—
248C22⋊C4×C151—21no—
249C22⋊C4×C151—21no—
250C42×C151—22no—
251C42×C151—22no—
252C42×C151—22no—
253C42×C151—21no—
254C42×C151—21no—
255C42×C151—21no—
256C42×C151—21no—
257C42×C151—21no—
258C42×C151—22no—
259C42×C151—22no—
260C23×C151—22no—
261C23×C151—22no—
262C23×C151—21no—
263C23×C151—41no—
264C23×C151#12011yescharacteristic
265C23×C151#12011yescharacteristic
266C23×C151C22×D411yescharacteristic
267Q8×C151—24no—
268Q8×C151—24no—
269Q8×C151—22no—
270Q8×C151—44no—
271Q8×C151—44no—
272Q8×C151—41no—
273Q8×C151—41no—
274Q8×C151—42no—
275Q8×C151—42no—
276Q8×C151—42no—
277Q8×C151—82no—
278D4×C151—22no—
279D4×C151—42no—
280D4×C151—42no—
281D4×C151—81no—
282C2×C4×C151—22no—
283C2×C4×C151—21no—
284C2×C4×C151—21no—
285C2×C4×C151—21no—
286C2×C4×C151—21no—
287C2×C4×C151—22no—
288C2×C4×C151—22no—
289C2×C4×C151—24no—
290C2×C4×C151—21no—
291C2×C4×C151—22no—
292C2×C4×C151—21no—
293C2×C4×C151—22no—
294C2×C4×C151—21no—
295C2×C4×C151—21no—
296C2×C4×C151—21no—
297C2×C4×C151—21no—
298C2×C4×C151—21no—
299C2×C4×C151—24no—
300C2×C4×C151—24no—
301C2×C4×C151—44no—
302C2×C4×C151—44no—
303C2×C4×C151—42no—
304C2×C4×C151—42no—
305C2×C4×C151—42no—
306C2×C4×C151—42no—
307C2×C4×C151—42no—
308C2×C4×C151—41no—
309C2×C4×C151—41no—
310C2×C4×C151—42no—
311C2×C4×C151—81no—
312C2×C4×C151—82no—
313C2×C4×C151#12011yescharacteristic
314C2×C4×C151#12011yescharacteristic
315C2×C4×C151C22×D411yescharacteristic
316C2×C4×C151C22×D411yescharacteristic
317C2×C4×C151C2×#4112yes—
318C2×C4×C151H(5,𝔽2)12yes—
319C8×C151—42no—
320C8×C151—42no—
321C22×C151—21no—
322C22×C151—21no—
323C22×C151—21no—
324C22×C151—21no—
325C22×C151—21no—
326C22×C151—21no—
327C22×C151—21no—
328C22×C151—44no—
329C22×C151—41no—
330C22×C151—41no—
331C22×C151—41no—
332C22×C151#45612yes—
333C22×C151C2×#12011yescharacteristic
334C22×C151#54612yes—
335C4×C151—21no—
336C4×C151—21no—
337C4×C151—44no—
338C4×C151—42no—
339C4×C151—44no—
340C4×C151—41no—
341C4×C151—41no—
342C4×C151—41no—
343C4×C151—41no—
344C4×C151—42no—
345C4×C151—41no—
346C4×C151—41no—
347C4×C151—41no—
348C4×C151#52511yescharacteristic
349C4×C151#53511yescharacteristic
350C4×C151#54612yes—
351C2×C151—22no—
352C2×C151—22no—
353C2×C151—41no—
354C2×C151—81no—
355C2×C151#240411yescharacteristic
356C2×C151C2×#45611yescharacteristic
357C2×C151#302211yescharacteristic
358#23958C15111yesmaximal, characteristic, direct product factor, Sylow
359C151#2395811yescharacteristic, direct product factor, Sylow
360#3495C2×C15111yescharacteristic
361#3004C2×C15111yescharacteristic
362C2×#419C2×C15111yescharacteristic, complemented
363#2434C2×C15111yescharacteristic, complemented
364#2028C2×C15112yescomplemented
365#2005C2×C15112yescomplemented
366#1901C2×C15111yescharacteristic, complemented
367#1886C2×C15112yescomplemented
368#1882C2×C15112yescomplemented
369#1871C2×C15111yescharacteristic
370#1826C2×C15111yescharacteristic, complemented
371C23×Q8C22×C15111yescharacteristic
372C2×#137C22×C15112yes—
373C22×M16C22×C15111yescharacteristic
374#556—21no—
375#554—21no—
376#552—21no—
377#552—22no—
378#552—21no—
379#551—22no—
380#544C22×C15111yescharacteristic
381#542—21no—
382#541—21no—
383#536C22×C15111yescharacteristic
384#533—21no—
385C2×C4⋊Q8C22×C15112yes—
386#529—21no—
387#525C22×C15111yescharacteristic
388C2×C22⋊Q8C22×C15111yescharacteristic
389#520C22×C15111yescharacteristic
390#519C22×C15111yescharacteristic
391C2×#117C22×C15111yescharacteristic
392#451—21no—
393#451—21no—
394#448—21no—
395#448—21no—
396C2×#104C22×C15112yes—
397#419—21no—
398#419—21no—
399#419C22×C15112yes—
400#419C22×C15112yes—
401#419C22×C15112yes—
402C2×#103—21no—
403C2×#103—21no—
404C2×#101C22×C15112yes—
405#407C22×C15111yescharacteristic
406#395—22no—
407#391C22×C15112yes—
408#385—22no—
409C4×C22⋊C4C22×C15111yescharacteristic
410#343C22×C15112yes—
411#339C22×C15112yes—
412#339C22×C15112yes—
413#339C22×C15112yes—
414C2×#41C23×C15111yescharacteristic
415C22×Q8—21no—
416C22×Q8—24no—
417C22×Q8—21no—
418C22×Q8—21no—
419C22×Q8—21no—
420C22×Q8—21no—
421C22×Q8—42no—
422C22×Q8C23×C15112yes—
423C22×Q8C23×C15111yescharacteristic
424C23×C4—21no—
425C23×C4C23×C15111yescharacteristic
426#137—24no—
427#137—42no—
428C2×Q16—22no—
429C2×SD16—22no—
430C2×M16—21no—
431C2×M16—42no—
432C2×M16C23×C15112yes—
433C2×M16C23×C15112yes—
434C22×C8—21no—
435C4⋊Q8—21no—
436C4⋊Q8—21no—
437C4⋊Q8—21no—
438C4⋊Q8—24no—
439C4⋊Q8—42no—
440#126—22no—
441#126—22no—
442#126—22no—
443#126—22no—
444#125—22no—
445#125—22no—
446#125—22no—
447#125—21no—
448#125—21no—
449#124—22no—
450#124—21no—
451#123—22no—
452#123—22no—
453#123—21no—
454#123—22no—
455C22⋊Q8—22no—
456C22⋊Q8—22no—
457C22⋊Q8—21no—
458C22⋊Q8—21no—
459C22⋊Q8—21no—
460C22⋊Q8—21no—
461C22⋊Q8—22no—
462C22⋊Q8—21no—
463C22⋊Q8—21no—
464C22⋊Q8D4×C15111yescharacteristic
465C22⋊Q8D4×C15111yescharacteristic
466#121D4×C15111yescharacteristic
467#121D4×C15111yescharacteristic
468#120—21no—
469C4×Q8—22no—
470C4×Q8—21no—
471C4×Q8—21no—
472C4×Q8—21no—
473C4×Q8—21no—
474C4×Q8—21no—
475C4×D4—22no—
476C4×D4—21no—
477C4×D4—22no—
478C4×D4—21no—
479C4×D4—21no—
480#117—22no—
481#117—22no—
482#117—21no—
483#117—21no—
484#117—22no—
485#117—21no—
486#117D4×C15111yescharacteristic
487#117D4×C15111yescharacteristic
488#117C23×C15111yescharacteristic
489#117C23×C15111yescharacteristic
490#117C23×C15111yescharacteristic
491C2×C4⋊C4—21no—
492C2×C4⋊C4—24no—
493C2×C4⋊C4D4×C15112yes—
494C2×C4⋊C4D4×C15111yescharacteristic
495C2×C4⋊C4D4×C15111yescharacteristic
496C2×C4⋊C4C23×C15111yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4D4×C15112yes—
500C2×C42—21no—
501C2×C42C23×C15112yes—
502#104—42no—
503#103—22no—
504#103—22no—
505#103—22no—
506#103—22no—
507#103—22no—
508#103—22no—
509#101—42no—
510C22⋊C8—21no—
511C22⋊C8—21no—
512#95—21no—
513#95—24no—
514C24C2×D4×C15111yescharacteristic
515#41—22no—
516#41—22no—
517C2×Q8—22no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—22no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—24no—
524C2×Q8—24no—
525C2×Q8—22no—
526C2×Q8—22no—
527C2×Q8—22no—
528C2×Q8—22no—
529C2×Q8—44no—
530C2×Q8—44no—
531C2×Q8—44no—
532C2×Q8—42no—
533C2×Q8—42no—
534C2×Q8—41no—
535C2×Q8—41no—
536C2×Q8C2×D4×C15111yescharacteristic
537C2×Q8#41×C15114yes—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4C2×D4×C15111yescharacteristic
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—21no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—44no—
551C22×C4—41no—
552C22×C4—41no—
553C22×C4C2×D4×C15112yes—
554C22×C4C2×D4×C15111yescharacteristic
555C22×C4C2×D4×C15111yescharacteristic
556C22×C4C2×D4×C15111yescharacteristic
557C22×C4C2×D4×C15111yescharacteristic
558C22×C4C2×D4×C15111yescharacteristic
559C22×C4C2×D4×C15112yes—
560C22×C4C24×C15111yescharacteristic
561Q16—44no—
562SD16—44no—
563M16—22no—
564M16—22no—
565M16—22no—
566M16—22no—
567M16—42no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—42no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—48no—
588C4⋊C4C2×D4×C15111yescharacteristic
589C4⋊C4C2×D4×C15111yescharacteristic
590C4⋊C4C2×D4×C15111yescharacteristic
591C4⋊C4C2×D4×C15111yescharacteristic
592C4⋊C4C2×D4×C15111yescharacteristic
593C4⋊C4C2×D4×C15111yescharacteristic
594C22⋊C4—24no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—22no—
601C22⋊C4—22no—
602C22⋊C4—21no—
603C22⋊C4—21no—
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—21no—
613C42—21no—
614C42—21no—
615C42—21no—
616C42—21no—
617C42—22no—
618C42—22no—
619C23—22no—
620C23—22no—
621C23—21no—
622C23—41no—
623C23#120×C15111yescharacteristic
624C23#120×C15111yescharacteristic
625C23C22×D4×C15111yescharacteristic
626Q8—24no—
627Q8—24no—
628Q8—22no—
629Q8—44no—
630Q8—44no—
631Q8—41no—
632Q8—42no—
633Q8—41no—
634Q8—42no—
635Q8—42no—
636Q8—82no—
637D4—22no—
638D4—42no—
639D4—42no—
640D4—81no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—42no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—81no—
671C2×C4—82no—
672C2×C4#120×C15111yescharacteristic
673C2×C4#120×C15111yescharacteristic
674C2×C4C22×D4×C15111yescharacteristic
675C2×C4C22×D4×C15111yescharacteristic
676C2×C4C2×#41×C15112yes—
677C2×C4H(5,𝔽2)×C15112yes—
678C8—42no—
679C8—42no—
680C22—21no—
681C22—21no—
682C22—21no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—44no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22#456×C15112yes—
692C22C2×#120×C15111yescharacteristic
693C22#546×C15112yes—
694C4—21no—
695C4—21no—
696C4—44no—
697C4—42no—
698C4—44no—
699C4—41no—
700C4—41no—
701C4—41no—
702C4—41no—
703C4—42no—
704C4—41no—
705C4—41no—
706C4—41no—
707C4#525×C15111yescharacteristic
708C4#535×C15111yescharacteristic
709C4#546×C15112yes—
710C2—22no—
711C2—22no—
712C2—41no—
713C2—81no—
714C2#2404×C15111yescharacteristic
715C2C2×#456×C15111yescharacteristic
716C2#3022×C15111yescharacteristic
subgroupG/H
center, socleC22×C151C2×#120
commutator, Frattini, cosocleC22×C4C24×C151
prime radical#525×C151C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C151 ◁ C23×C4×C151 ◁ G

Complements

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

NH ≅ G/Ntype
3. C2×#419×C151C2semidirect
4. #2434×C151C2semidirect
5. #2028×C151C2semidirect
6. #2005×C151C2semidirect
7. #1901×C151C2semidirect
8. #1886×C151C2semidirect
9. #1882×C151C2semidirect
11. #1826×C151C2semidirect
358. #23958C151direct (N × H)
359. C151#23958direct (N × H)
362. C2×#419C2×C151semidirect
363. #2434C2×C151semidirect
364. #2028C2×C151semidirect
365. #2005C2×C151semidirect
366. #1901C2×C151semidirect
367. #1886C2×C151semidirect
368. #1882C2×C151semidirect
370. #1826C2×C151semidirect

Maximal subgroups

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

subgroupindex
#3495×C1512
#3004×C1512
C2×#419×C1512
#2434×C1512
#2028×C1512
#2005×C1512
#1901×C1512
#1886×C1512
#1882×C1512
#1871×C1512
#1826×C1512
#23958151