Finite Group Databasebeta

← C151×#18975 #50323900

Subgroups — C151×#18975 #50323900

Order 38656.

810 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
1#3555×C151C211yesmaximal, characteristic
2#3255×C151C211yesmaximal, characteristic, complemented
3#3248×C151C211yesmaximal, characteristic
4#3231×C151C211yesmaximal, characteristic, complemented
5#1653×C151C211yesmaximal, characteristic, complemented
6#1652×C151C211yesmaximal, characteristic, complemented
7#1650×C151C211yesmaximal, characteristic, complemented
8#1648×C151C211yesmaximal, characteristic, complemented
9#1645×C151C211yesmaximal, characteristic, complemented
10#1645×C151C211yesmaximal, characteristic, complemented
11#1644×C151C211yesmaximal, characteristic, complemented
12#1643×C151C211yesmaximal, characteristic, complemented
13#1550×C151C211yesmaximal, characteristic, complemented
14#1495×C151C211yesmaximal, characteristic
15#1481×C151C211yesmaximal, characteristic, complemented
16#563×C151—22no—
17Q82×C151C2211yescharacteristic
18#557×C151—21no—
19#557×C151C2211yescharacteristic
20#556×C151—21no—
21#556×C151—21no—
22#556×C151C2211yescharacteristic
23#554×C151C2211yescharacteristic
24#552×C151—21no—
25#544×C151—21no—
26#542×C151—21no—
27#541×C151—21no—
28#541×C151—21no—
29#541×C151—22no—
30#533×C151C2211yescharacteristic
31#533×C151C2211yescharacteristic
32#533×C151C2211yescharacteristic
33#529×C151C2211yescharacteristic
34#500×C151C2211yescharacteristic
35#498×C151C2211yescharacteristic
36#487×C151C2211yescharacteristic
37#487×C151C2211yescharacteristic
38#485×C151—22no—
39#479×C151—21no—
40#479×C151—22no—
41#475×C151—21no—
42#475×C151C2211yescharacteristic
43#475×C151C2211yescharacteristic
44#475×C151C2211yescharacteristic
45#474×C151C2211yescharacteristic
46#470×C151—21no—
47#470×C151—21no—
48#467×C151—21no—
49#465×C151—21no—
50#464×C151—21no—
51#462×C151—21no—
52#462×C151C2211yescharacteristic
53#462×C151C2211yescharacteristic
54#462×C151C2211yescharacteristic
55#461×C151C2211yescharacteristic
56#431×C151C2211yescharacteristic
57#423×C151C2211yescharacteristic
58C2×C4⋊C8×C151C2211yescharacteristic
59#333×C151C2211yescharacteristic
60#333×C151C2211yescharacteristic
61#332×C151C2211yescharacteristic
62#332×C151C2211yescharacteristic
63Q8⋊C8×C151C2211yescharacteristic
64Q8⋊C8×C151C2211yescharacteristic
65Q8⋊C8×C151C2211yescharacteristic
66Q8⋊C8×C151C2211yescharacteristic
67Q8⋊C8×C151C2211yescharacteristic
68Q8⋊C8×C151C2211yescharacteristic
69D4⋊C8×C151C2211yescharacteristic
70D4⋊C8×C151C2211yescharacteristic
71C2×Q16×C151—21no—
72C2×Q16×C151—21no—
73C2×Q16×C151—21no—
74C2×SD16×C151—21no—
75C2×M16×C151—21no—
76C22×C8×C151—21no—
77C4⋊Q8×C151—22no—
78C4⋊Q8×C151—21no—
79C4⋊Q8×C151—21no—
80C4⋊Q8×C151—21no—
81C4⋊Q8×C151—22no—
82C4⋊Q8×C151D411yescharacteristic
83C4⋊Q8×C151D411yescharacteristic
84C4⋊Q8×C151C2311yescharacteristic
85C4⋊Q8×C151C2311yescharacteristic
86C4⋊Q8×C151C2311yescharacteristic
87C4⋊Q8×C151C2311yescharacteristic
88#126×C151—22no—
89#126×C151—22no—
90#126×C151—22no—
91#126×C151—22no—
92#126×C151—22no—
93#126×C151—22no—
94#126×C151—21no—
95#125×C151—22no—
96#125×C151—22no—
97#125×C151—22no—
98#125×C151—22no—
99#125×C151—21no—
100#125×C151—22no—
101#125×C151—21no—
102#125×C151—21no—
103#125×C151—21no—
104#125×C151—21no—
105#125×C151D411yescharacteristic
106#124×C151—22no—
107#124×C151—21no—
108#124×C151D411yescharacteristic
109#123×C151—22no—
110#123×C151—21no—
111C22⋊Q8×C151—22no—
112C22⋊Q8×C151—22no—
113C22⋊Q8×C151—21no—
114C22⋊Q8×C151—21no—
115C22⋊Q8×C151—21no—
116C22⋊Q8×C151—21no—
117C22⋊Q8×C151—21no—
118C22⋊Q8×C151—21no—
119C22⋊Q8×C151—22no—
120C22⋊Q8×C151D411yescharacteristic
121C22⋊Q8×C151D411yescharacteristic
122C22⋊Q8×C151D411yescharacteristic
123C22⋊Q8×C151D412yes—
124#121×C151D411yescharacteristic
125C4×Q8×C151—22no—
126C4×Q8×C151—21no—
127C4×Q8×C151—21no—
128C4×Q8×C151—21no—
129C4×Q8×C151—21no—
130C4×Q8×C151—21no—
131C4×Q8×C151—21no—
132C4×Q8×C151—21no—
133C4×Q8×C151—21no—
134C4×Q8×C151—21no—
135C4×Q8×C151D412yes—
136C4×Q8×C151C2311yescharacteristic
137C4×Q8×C151C2311yescharacteristic
138C4×Q8×C151C2311yescharacteristic
139C4×D4×C151—21no—
140C4×D4×C151—21no—
141C4×D4×C151C2311yescharacteristic
142#117×C151—22no—
143#117×C151—21no—
144#117×C151—21no—
145#117×C151—21no—
146#117×C151—21no—
147#117×C151—21no—
148C2×C4⋊C4×C151—21no—
149C2×C42×C151C2311yescharacteristic
150#107×C151—21no—
151#107×C151—22no—
152#106×C151—21no—
153#106×C151—21no—
154#106×C151—21no—
155#106×C151—22no—
156C4⋊C8×C151—21no—
157C4⋊C8×C151—21no—
158C4⋊C8×C151—21no—
159C4⋊C8×C151C2311yescharacteristic
160C4⋊C8×C151C2311yescharacteristic
161C4⋊C8×C151C2311yescharacteristic
162C4⋊C8×C151C2311yescharacteristic
163#103×C151—21no—
164#103×C151—21no—
165#103×C151—21no—
166#103×C151—21no—
167#103×C151—21no—
168#103×C151—21no—
169#103×C151—21no—
170#103×C151—22no—
171#103×C151—22no—
172#102×C151—21no—
173C22⋊C8×C151—21no—
174C4×C8×C151C2311yescharacteristic
175C4×C8×C151C2311yescharacteristic
176C2×Q8×C151—22no—
177C2×Q8×C151—21no—
178C2×Q8×C151—21no—
179C2×Q8×C151—21no—
180C2×Q8×C151—21no—
181C2×Q8×C151C2×D411yescharacteristic
182C2×Q8×C151C2×D411yescharacteristic
183C2×Q8×C151C2×D411yescharacteristic
184C2×Q8×C151C2×D412yes—
185C2×D4×C151—21no—
186C2×D4×C151C2×D411yescharacteristic
187C22×C4×C151—22no—
188C22×C4×C151—21no—
189C22×C4×C151C2×D411yescharacteristic
190C22×C4×C151C2×D411yescharacteristic
191C22×C4×C151C2×D411yescharacteristic
192Q16×C151—81no—
193Q16×C151—81no—
194Q16×C151—81no—
195SD16×C151—81no—
196M16×C151—81no—
197C2×C8×C151—21no—
198C2×C8×C151—21no—
199C2×C8×C151—21no—
200C2×C8×C151—21no—
201C2×C8×C151—21no—
202C2×C8×C151—21no—
203C2×C8×C151—81no—
204C4⋊C4×C151—22no—
205C4⋊C4×C151—22no—
206C4⋊C4×C151—22no—
207C4⋊C4×C151—22no—
208C4⋊C4×C151—22no—
209C4⋊C4×C151—22no—
210C4⋊C4×C151—22no—
211C4⋊C4×C151—22no—
212C4⋊C4×C151—21no—
213C4⋊C4×C151—21no—
214C4⋊C4×C151—21no—
215C4⋊C4×C151—21no—
216C4⋊C4×C151—21no—
217C4⋊C4×C151—21no—
218C4⋊C4×C151—21no—
219C4⋊C4×C151—22no—
220C4⋊C4×C151—21no—
221C4⋊C4×C151—22no—
222C4⋊C4×C151—21no—
223C4⋊C4×C151—21no—
224C4⋊C4×C151—21no—
225C4⋊C4×C151—21no—
226C4⋊C4×C151—21no—
227C4⋊C4×C151—21no—
228C4⋊C4×C151—21no—
229C4⋊C4×C151—21no—
230C4⋊C4×C151—21no—
231C4⋊C4×C151—21no—
232C4⋊C4×C151—41no—
233C4⋊C4×C151—41no—
234C4⋊C4×C151C2×D411yescharacteristic
235C4⋊C4×C151C2×D411yescharacteristic
236C4⋊C4×C151C2×D411yescharacteristic
237C4⋊C4×C151C2×D411yescharacteristic
238C4⋊C4×C151C2×D412yes—
239C22⋊C4×C151—22no—
240C22⋊C4×C151—22no—
241C22⋊C4×C151—22no—
242C22⋊C4×C151—21no—
243C22⋊C4×C151—22no—
244C22⋊C4×C151—21no—
245C22⋊C4×C151—21no—
246C22⋊C4×C151—21no—
247C22⋊C4×C151—21no—
248C22⋊C4×C151—21no—
249C22⋊C4×C151—21no—
250C22⋊C4×C151—41no—
251C42×C151—22no—
252C42×C151—22no—
253C42×C151—22no—
254C42×C151—22no—
255C42×C151—21no—
256C42×C151—21no—
257C42×C151—21no—
258C42×C151—41no—
259C42×C151C2×D411yescharacteristic
260C42×C151C2×D411yescharacteristic
261C42×C151C2×D411yescharacteristic
262C42×C151C2411yescharacteristic
263C23×C151—21no—
264C23×C151#12011yescharacteristic
265Q8×C151—21no—
266Q8×C151—21no—
267Q8×C151—21no—
268Q8×C151—21no—
269Q8×C151—21no—
270Q8×C151—21no—
271Q8×C151—42no—
272Q8×C151—41no—
273Q8×C151—41no—
274Q8×C151—41no—
275Q8×C151—41no—
276Q8×C151—41no—
277Q8×C151—41no—
278Q8×C151—81no—
279Q8×C151—82no—
280D4×C151—21no—
281D4×C151—21no—
282D4×C151—81no—
283C2×C4×C151—21no—
284C2×C4×C151—21no—
285C2×C4×C151—21no—
286C2×C4×C151—21no—
287C2×C4×C151—21no—
288C2×C4×C151—21no—
289C2×C4×C151—22no—
290C2×C4×C151—22no—
291C2×C4×C151—21no—
292C2×C4×C151—21no—
293C2×C4×C151—21no—
294C2×C4×C151—21no—
295C2×C4×C151—21no—
296C2×C4×C151—41no—
297C2×C4×C151—41no—
298C2×C4×C151—41no—
299C2×C4×C151—41no—
300C2×C4×C151—41no—
301C2×C4×C151—82no—
302C2×C4×C151#12011yescharacteristic
303C2×C4×C151#12011yescharacteristic
304C2×C4×C151#12011yescharacteristic
305C2×C4×C151C22×D411yescharacteristic
306C2×C4×C151C22×D411yescharacteristic
307C2×C4×C151C22×D411yescharacteristic
308C8×C151—41no—
309C8×C151—41no—
310C8×C151—41no—
311C8×C151—41no—
312C8×C151—41no—
313C8×C151—41no—
314C22×C151—21no—
315C22×C151—21no—
316C22×C151—21no—
317C22×C151—41no—
318C22×C151—41no—
319C22×C151—41no—
320C22×C151C2×#12011yescharacteristic
321C4×C151—21no—
322C4×C151—21no—
323C4×C151—21no—
324C4×C151—21no—
325C4×C151—41no—
326C4×C151—41no—
327C4×C151—41no—
328C4×C151—41no—
329C4×C151—42no—
330C4×C151—41no—
331C4×C151—42no—
332C4×C151—41no—
333C4×C151—41no—
334C4×C151—81no—
335C4×C151—81no—
336C4×C151#57711yescharacteristic
337C4×C151#57711yescharacteristic
338C4×C151#57811yescharacteristic
339C4×C151#57811yescharacteristic
340C2×C151—41no—
341C2×C151—81no—
342C2×C151#301311yescharacteristic
343C2×C151#301311yescharacteristic
344C2×C151#302211yescharacteristic
345#18975C15111yesmaximal, characteristic, direct product factor, Sylow
346C151#1897511yescharacteristic, direct product factor, Sylow
347#3555C2×C15111yescharacteristic
348#3255C2×C15111yescharacteristic, complemented
349#3248C2×C15111yescharacteristic
350#3231C2×C15111yescharacteristic, complemented
351#1653C2×C15111yescharacteristic, complemented
352#1652C2×C15111yescharacteristic, complemented
353#1650C2×C15111yescharacteristic, complemented
354#1648C2×C15111yescharacteristic, complemented
355#1645C2×C15111yescharacteristic, complemented
356#1645C2×C15111yescharacteristic, complemented
357#1644C2×C15111yescharacteristic, complemented
358#1643C2×C15111yescharacteristic, complemented
359#1550C2×C15111yescharacteristic, complemented
360#1495C2×C15111yescharacteristic
361#1481C2×C15111yescharacteristic, complemented
362#563—22no—
363Q82C22×C15111yescharacteristic
364#557—21no—
365#557C22×C15111yescharacteristic
366#556—21no—
367#556—21no—
368#556C22×C15111yescharacteristic
369#554C22×C15111yescharacteristic
370#552—21no—
371#544—21no—
372#542—21no—
373#541—21no—
374#541—21no—
375#541—22no—
376#533C22×C15111yescharacteristic
377#533C22×C15111yescharacteristic
378#533C22×C15111yescharacteristic
379#529C22×C15111yescharacteristic
380#500C22×C15111yescharacteristic
381#498C22×C15111yescharacteristic
382#487C22×C15111yescharacteristic
383#487C22×C15111yescharacteristic
384#485—22no—
385#479—21no—
386#479—22no—
387#475—21no—
388#475C22×C15111yescharacteristic
389#475C22×C15111yescharacteristic
390#475C22×C15111yescharacteristic
391#474C22×C15111yescharacteristic
392#470—21no—
393#470—21no—
394#467—21no—
395#465—21no—
396#464—21no—
397#462—21no—
398#462C22×C15111yescharacteristic
399#462C22×C15111yescharacteristic
400#462C22×C15111yescharacteristic
401#461C22×C15111yescharacteristic
402#431C22×C15111yescharacteristic
403#423C22×C15111yescharacteristic
404C2×C4⋊C8C22×C15111yescharacteristic
405#333C22×C15111yescharacteristic
406#333C22×C15111yescharacteristic
407#332C22×C15111yescharacteristic
408#332C22×C15111yescharacteristic
409Q8⋊C8C22×C15111yescharacteristic
410Q8⋊C8C22×C15111yescharacteristic
411Q8⋊C8C22×C15111yescharacteristic
412Q8⋊C8C22×C15111yescharacteristic
413Q8⋊C8C22×C15111yescharacteristic
414Q8⋊C8C22×C15111yescharacteristic
415D4⋊C8C22×C15111yescharacteristic
416D4⋊C8C22×C15111yescharacteristic
417C2×Q16—21no—
418C2×Q16—21no—
419C2×Q16—21no—
420C2×SD16—21no—
421C2×M16—21no—
422C22×C8—21no—
423C4⋊Q8—22no—
424C4⋊Q8—21no—
425C4⋊Q8—22no—
426C4⋊Q8—21no—
427C4⋊Q8—21no—
428C4⋊Q8D4×C15111yescharacteristic
429C4⋊Q8D4×C15111yescharacteristic
430C4⋊Q8C23×C15111yescharacteristic
431C4⋊Q8C23×C15111yescharacteristic
432C4⋊Q8C23×C15111yescharacteristic
433C4⋊Q8C23×C15111yescharacteristic
434#126—22no—
435#126—22no—
436#126—22no—
437#126—22no—
438#126—22no—
439#126—22no—
440#126—21no—
441#125—22no—
442#125—22no—
443#125—22no—
444#125—22no—
445#125—21no—
446#125—22no—
447#125—21no—
448#125—21no—
449#125—21no—
450#125—21no—
451#125D4×C15111yescharacteristic
452#124—22no—
453#124—21no—
454#124D4×C15111yescharacteristic
455#123—22no—
456#123—21no—
457C22⋊Q8—22no—
458C22⋊Q8—22no—
459C22⋊Q8—21no—
460C22⋊Q8—21no—
461C22⋊Q8—22no—
462C22⋊Q8—21no—
463C22⋊Q8—21no—
464C22⋊Q8—21no—
465C22⋊Q8—21no—
466C22⋊Q8D4×C15111yescharacteristic
467C22⋊Q8D4×C15111yescharacteristic
468C22⋊Q8D4×C15111yescharacteristic
469C22⋊Q8D4×C15112yes—
470#121D4×C15111yescharacteristic
471C4×Q8—22no—
472C4×Q8—21no—
473C4×Q8—21no—
474C4×Q8—21no—
475C4×Q8—21no—
476C4×Q8—21no—
477C4×Q8—21no—
478C4×Q8—21no—
479C4×Q8—21no—
480C4×Q8—21no—
481C4×Q8D4×C15112yes—
482C4×Q8C23×C15111yescharacteristic
483C4×Q8C23×C15111yescharacteristic
484C4×Q8C23×C15111yescharacteristic
485C4×D4—21no—
486C4×D4—21no—
487C4×D4C23×C15111yescharacteristic
488#117—22no—
489#117—21no—
490#117—21no—
491#117—21no—
492#117—21no—
493#117—21no—
494C2×C4⋊C4—21no—
495C2×C42C23×C15111yescharacteristic
496#107—21no—
497#107—22no—
498#106—21no—
499#106—21no—
500#106—21no—
501#106—22no—
502C4⋊C8—21no—
503C4⋊C8—21no—
504C4⋊C8—21no—
505C4⋊C8C23×C15111yescharacteristic
506C4⋊C8C23×C15111yescharacteristic
507C4⋊C8C23×C15111yescharacteristic
508C4⋊C8C23×C15111yescharacteristic
509#103—21no—
510#103—21no—
511#103—21no—
512#103—22no—
513#103—22no—
514#103—21no—
515#103—21no—
516#103—21no—
517#103—21no—
518#102—21no—
519C22⋊C8—21no—
520C4×C8C23×C15111yescharacteristic
521C4×C8C23×C15111yescharacteristic
522C2×Q8—22no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8C2×D4×C15111yescharacteristic
528C2×Q8C2×D4×C15111yescharacteristic
529C2×Q8C2×D4×C15111yescharacteristic
530C2×Q8C2×D4×C15112yes—
531C2×D4—21no—
532C2×D4C2×D4×C15111yescharacteristic
533C22×C4—22no—
534C22×C4—21no—
535C22×C4C2×D4×C15111yescharacteristic
536C22×C4C2×D4×C15111yescharacteristic
537C22×C4C2×D4×C15111yescharacteristic
538Q16—81no—
539Q16—81no—
540Q16—81no—
541SD16—81no—
542M16—81no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—81no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—22no—
566C4⋊C4—21no—
567C4⋊C4—22no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—41no—
579C4⋊C4—41no—
580C4⋊C4C2×D4×C15111yescharacteristic
581C4⋊C4C2×D4×C15111yescharacteristic
582C4⋊C4C2×D4×C15111yescharacteristic
583C4⋊C4C2×D4×C15111yescharacteristic
584C4⋊C4C2×D4×C15112yes—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—21no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—21no—
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—41no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—41no—
605C42C2×D4×C15111yescharacteristic
606C42C2×D4×C15111yescharacteristic
607C42C2×D4×C15111yescharacteristic
608C42C24×C15111yescharacteristic
609C23—21no—
610C23#120×C15111yescharacteristic
611Q8—21no—
612Q8—21no—
613Q8—21no—
614Q8—21no—
615Q8—21no—
616Q8—21no—
617Q8—42no—
618Q8—41no—
619Q8—41no—
620Q8—41no—
621Q8—41no—
622Q8—41no—
623Q8—41no—
624Q8—81no—
625Q8—82no—
626D4—21no—
627D4—21no—
628D4—81no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—21no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—82no—
648C2×C4#120×C15111yescharacteristic
649C2×C4#120×C15111yescharacteristic
650C2×C4#120×C15111yescharacteristic
651C2×C4C22×D4×C15111yescharacteristic
652C2×C4C22×D4×C15111yescharacteristic
653C2×C4C22×D4×C15111yescharacteristic
654C8—41no—
655C8—41no—
656C8—41no—
657C8—41no—
658C8—41no—
659C8—41no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22C2×#120×C15111yescharacteristic
667C4—21no—
668C4—21no—
669C4—21no—
670C4—21no—
671C4—41no—
672C4—41no—
673C4—41no—
674C4—41no—
675C4—42no—
676C4—41no—
677C4—42no—
678C4—41no—
679C4—41no—
680C4—81no—
681C4—81no—
682C4#577×C15111yescharacteristic
683C4#577×C15111yescharacteristic
684C4#578×C15111yescharacteristic
685C4#578×C15111yescharacteristic
686C2—41no—
687C2—81no—
688C2#3013×C15111yescharacteristic
689C2#3013×C15111yescharacteristic
690C2#3022×C15111yescharacteristic
subgroupG/H
center, socleC22×C151C2×#120
commutator, Frattini, cosocleC42C24×C151
prime radical#121×C151D4
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C151 ◁ C2×C42×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. #3255×C151C2semidirect
4. #3231×C151C2semidirect
5. #1653×C151C2semidirect
6. #1652×C151C2semidirect
7. #1650×C151C2semidirect
8. #1648×C151C2semidirect
9. #1645×C151C2semidirect
10. #1645×C151C2semidirect
11. #1644×C151C2semidirect
12. #1643×C151C2semidirect
13. #1550×C151C2semidirect
15. #1481×C151C2semidirect
345. #18975C151direct (N × H)
346. C151#18975direct (N × H)
348. #3255C2×C151semidirect
350. #3231C2×C151semidirect
351. #1653C2×C151semidirect
352. #1652C2×C151semidirect
353. #1650C2×C151semidirect
354. #1648C2×C151semidirect
355. #1645C2×C151semidirect
356. #1645C2×C151semidirect
357. #1644C2×C151semidirect
358. #1643C2×C151semidirect
359. #1550C2×C151semidirect
361. #1481C2×C151semidirect

Maximal subgroups

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

subgroupindex
#3555×C1512
#3255×C1512
#3248×C1512
#3231×C1512
#1653×C1512
#1652×C1512
#1650×C1512
#1648×C1512
#1645×C1512
#1644×C1512
#1643×C1512
#1550×C1512
#1495×C1512
#1481×C1512
#18975151