Finite Group Databasebeta

← C151×#18745 #50323670

Subgroups — C151×#18745 #50323670

Order 38656.

818 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3555×C151C211yesmaximal, characteristic
2#3249×C151C211yesmaximal, characteristic, complemented
3#3233×C151C211yesmaximal, characteristic
4#3185×C151C211yesmaximal, characteristic, complemented
5#1653×C151C211yesmaximal, characteristic, complemented
6#1652×C151C211yesmaximal, characteristic, complemented
7#1645×C151C211yesmaximal, characteristic, complemented
8#1644×C151C211yesmaximal, characteristic, complemented
9#1638×C151C211yesmaximal, characteristic, complemented
10#1636×C151C211yesmaximal, characteristic, complemented
11#1633×C151C211yesmaximal, characteristic, complemented
12#1632×C151C211yesmaximal, characteristic, complemented
13#1542×C151C211yesmaximal, characteristic, complemented
14#1485×C151C211yesmaximal, characteristic, complemented
15#1483×C151C211yesmaximal, characteristic
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#499×C151—21no—
35#498×C151C2211yescharacteristic
36#494×C151C2211yescharacteristic
37#488×C151—21no—
38#487×C151C2211yescharacteristic
39#487×C151C2211yescharacteristic
40#485×C151—21no—
41#482×C151—21no—
42#477×C151—21no—
43#477×C151C2211yescharacteristic
44#477×C151C2211yescharacteristic
45#477×C151C2211yescharacteristic
46#476×C151C2211yescharacteristic
47#475×C151C2211yescharacteristic
48#474×C151C2211yescharacteristic
49#470×C151—22no—
50#467×C151—21no—
51#467×C151—21no—
52#462×C151—21no—
53#462×C151C2211yescharacteristic
54#462×C151C2211yescharacteristic
55#441×C151—22no—
56#431×C151C2211yescharacteristic
57C2×C4⋊C8×C151C2211yescharacteristic
58C4×M16×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—22no—
72C2×Q16×C151—21no—
73C2×Q16×C151—21no—
74C2×M16×C151—21no—
75C22×C8×C151—21no—
76C4⋊Q8×C151—22no—
77C4⋊Q8×C151—21no—
78C4⋊Q8×C151—21no—
79C4⋊Q8×C151—21no—
80C4⋊Q8×C151—22no—
81C4⋊Q8×C151D411yescharacteristic
82C4⋊Q8×C151D411yescharacteristic
83C4⋊Q8×C151C2311yescharacteristic
84C4⋊Q8×C151C2311yescharacteristic
85C4⋊Q8×C151C2311yescharacteristic
86C4⋊Q8×C151C2311yescharacteristic
87#126×C151—22no—
88#126×C151—22no—
89#126×C151—22no—
90#126×C151—22no—
91#126×C151—22no—
92#126×C151—22no—
93#126×C151—21no—
94#125×C151—22no—
95#125×C151—22no—
96#125×C151—22no—
97#125×C151—22no—
98#125×C151—21no—
99#125×C151—22no—
100#125×C151—21no—
101#125×C151—21no—
102#125×C151—21no—
103#125×C151—21no—
104#125×C151D411yescharacteristic
105#124×C151—22no—
106#124×C151—21no—
107#124×C151D411yescharacteristic
108#123×C151—22no—
109#123×C151—21no—
110C22⋊Q8×C151—22no—
111C22⋊Q8×C151—22no—
112C22⋊Q8×C151—21no—
113C22⋊Q8×C151—21no—
114C22⋊Q8×C151—21no—
115C22⋊Q8×C151—21no—
116C22⋊Q8×C151—21no—
117C22⋊Q8×C151—21no—
118C22⋊Q8×C151—22no—
119C22⋊Q8×C151D411yescharacteristic
120C22⋊Q8×C151D411yescharacteristic
121C22⋊Q8×C151D412yes—
122C22⋊Q8×C151D411yescharacteristic
123#121×C151D411yescharacteristic
124C4×Q8×C151—22no—
125C4×Q8×C151—21no—
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×C151D412yes—
135C4×Q8×C151C2311yescharacteristic
136C4×Q8×C151C2311yescharacteristic
137C4×Q8×C151C2311yescharacteristic
138C4×D4×C151—21no—
139C4×D4×C151—21no—
140C4×D4×C151C2311yescharacteristic
141#117×C151—22no—
142#117×C151—21no—
143#117×C151—21no—
144#117×C151—21no—
145#117×C151—21no—
146#117×C151—21no—
147C2×C4⋊C4×C151—21no—
148C2×C42×C151C2311yescharacteristic
149#107×C151—21no—
150#107×C151—21no—
151#107×C151—21no—
152#107×C151—21no—
153#106×C151—22no—
154#106×C151—21no—
155#106×C151—21no—
156C4⋊C8×C151—21no—
157C4⋊C8×C151C2311yescharacteristic
158C4⋊C8×C151C2311yescharacteristic
159C4⋊C8×C151C2311yescharacteristic
160C4⋊C8×C151C2311yescharacteristic
161#103×C151—22no—
162#103×C151—21no—
163#103×C151—21no—
164#103×C151—22no—
165#103×C151—21no—
166#103×C151—21no—
167#103×C151—21no—
168#103×C151—21no—
169#102×C151—21no—
170#102×C151—21no—
171C22⋊C8×C151—21no—
172#97×C151—21no—
173C4×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—44no—
193Q16×C151—81no—
194Q16×C151—81no—
195M16×C151—42no—
196C2×C8×C151—21no—
197C2×C8×C151—21no—
198C2×C8×C151—21no—
199C2×C8×C151—21no—
200C2×C8×C151—21no—
201C2×C8×C151—21no—
202C2×C8×C151—81no—
203C4⋊C4×C151—22no—
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—21no—
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—22no—
219C4⋊C4×C151—21no—
220C4⋊C4×C151—22no—
221C4⋊C4×C151—21no—
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—41no—
232C4⋊C4×C151—41no—
233C4⋊C4×C151C2×D412yes—
234C4⋊C4×C151C2×D411yescharacteristic
235C4⋊C4×C151C2×D411yescharacteristic
236C4⋊C4×C151C2×D411yescharacteristic
237C4⋊C4×C151C2×D411yescharacteristic
238C22⋊C4×C151—22no—
239C22⋊C4×C151—22no—
240C22⋊C4×C151—22no—
241C22⋊C4×C151—21no—
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—41no—
250C42×C151—22no—
251C42×C151—22no—
252C42×C151—22no—
253C42×C151—22no—
254C42×C151—21no—
255C42×C151—21no—
256C42×C151—21no—
257C42×C151—41no—
258C42×C151C2×D411yescharacteristic
259C42×C151C2×D411yescharacteristic
260C42×C151C2×D411yescharacteristic
261C42×C151C2411yescharacteristic
262C23×C151—21no—
263C23×C151#12011yescharacteristic
264Q8×C151—21no—
265Q8×C151—21no—
266Q8×C151—21no—
267Q8×C151—21no—
268Q8×C151—21no—
269Q8×C151—21no—
270Q8×C151—42no—
271Q8×C151—42no—
272Q8×C151—41no—
273Q8×C151—41no—
274Q8×C151—41no—
275Q8×C151—41no—
276Q8×C151—81no—
277Q8×C151—82no—
278D4×C151—21no—
279D4×C151—21no—
280D4×C151—81no—
281C2×C4×C151—21no—
282C2×C4×C151—21no—
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—21no—
290C2×C4×C151—21no—
291C2×C4×C151—21no—
292C2×C4×C151—21no—
293C2×C4×C151—21no—
294C2×C4×C151—41no—
295C2×C4×C151—41no—
296C2×C4×C151—41no—
297C2×C4×C151—41no—
298C2×C4×C151—41no—
299C2×C4×C151—82no—
300C2×C4×C151#12011yescharacteristic
301C2×C4×C151#12011yescharacteristic
302C2×C4×C151#12011yescharacteristic
303C2×C4×C151C22×D411yescharacteristic
304C2×C4×C151C22×D411yescharacteristic
305C2×C4×C151C22×D411yescharacteristic
306C8×C151—22no—
307C8×C151—41no—
308C8×C151—41no—
309C8×C151—41no—
310C8×C151—41no—
311C8×C151—41no—
312C22×C151—21no—
313C22×C151—21no—
314C22×C151—21no—
315C22×C151—41no—
316C22×C151—41no—
317C22×C151—41no—
318C22×C151C2×#12011yescharacteristic
319C4×C151—21no—
320C4×C151—21no—
321C4×C151—21no—
322C4×C151—21no—
323C4×C151—41no—
324C4×C151—42no—
325C4×C151—41no—
326C4×C151—41no—
327C4×C151—41no—
328C4×C151—41no—
329C4×C151—42no—
330C4×C151—41no—
331C4×C151—41no—
332C4×C151—81no—
333C4×C151—81no—
334C4×C151#57711yescharacteristic
335C4×C151#57811yescharacteristic
336C4×C151#57811yescharacteristic
337C4×C151#57811yescharacteristic
338C2×C151—41no—
339C2×C151—81no—
340C2×C151#301111yescharacteristic
341C2×C151#301311yescharacteristic
342C2×C151#301811yescharacteristic
343#18745C15111yesmaximal, characteristic, direct product factor, Sylow
344C151#1874511yescharacteristic, direct product factor, Sylow
345#3555C2×C15111yescharacteristic
346#3249C2×C15111yescharacteristic, complemented
347#3233C2×C15111yescharacteristic
348#3185C2×C15111yescharacteristic, complemented
349#1653C2×C15111yescharacteristic, complemented
350#1652C2×C15111yescharacteristic, complemented
351#1645C2×C15111yescharacteristic, complemented
352#1644C2×C15111yescharacteristic, complemented
353#1638C2×C15111yescharacteristic, complemented
354#1636C2×C15111yescharacteristic, complemented
355#1633C2×C15111yescharacteristic, complemented
356#1632C2×C15111yescharacteristic, complemented
357#1542C2×C15111yescharacteristic, complemented
358#1485C2×C15111yescharacteristic, complemented
359#1483C2×C15111yescharacteristic
360#563—22no—
361Q82C22×C15111yescharacteristic
362#557—21no—
363#557C22×C15111yescharacteristic
364#556—21no—
365#556—21no—
366#556C22×C15111yescharacteristic
367#554C22×C15111yescharacteristic
368#552—21no—
369#544—21no—
370#542—21no—
371#541—21no—
372#541—21no—
373#541—22no—
374#533C22×C15111yescharacteristic
375#533C22×C15111yescharacteristic
376#533C22×C15111yescharacteristic
377#529C22×C15111yescharacteristic
378#499—21no—
379#498C22×C15111yescharacteristic
380#494C22×C15111yescharacteristic
381#488—21no—
382#487C22×C15111yescharacteristic
383#487C22×C15111yescharacteristic
384#485—21no—
385#482—21no—
386#477—21no—
387#477C22×C15111yescharacteristic
388#477C22×C15111yescharacteristic
389#477C22×C15111yescharacteristic
390#476C22×C15111yescharacteristic
391#475C22×C15111yescharacteristic
392#474C22×C15111yescharacteristic
393#470—22no—
394#467—21no—
395#467—21no—
396#462—21no—
397#462C22×C15111yescharacteristic
398#462C22×C15111yescharacteristic
399#441—22no—
400#431C22×C15111yescharacteristic
401C2×C4⋊C8C22×C15111yescharacteristic
402C4×M16C22×C15111yescharacteristic
403#333C22×C15111yescharacteristic
404#333C22×C15111yescharacteristic
405#332C22×C15111yescharacteristic
406#332C22×C15111yescharacteristic
407Q8⋊C8C22×C15111yescharacteristic
408Q8⋊C8C22×C15111yescharacteristic
409Q8⋊C8C22×C15111yescharacteristic
410Q8⋊C8C22×C15111yescharacteristic
411Q8⋊C8C22×C15111yescharacteristic
412Q8⋊C8C22×C15111yescharacteristic
413D4⋊C8C22×C15111yescharacteristic
414D4⋊C8C22×C15111yescharacteristic
415C2×Q16—22no—
416C2×Q16—21no—
417C2×Q16—21no—
418C2×M16—21no—
419C22×C8—21no—
420C4⋊Q8—22no—
421C4⋊Q8—21no—
422C4⋊Q8—22no—
423C4⋊Q8—21no—
424C4⋊Q8—21no—
425C4⋊Q8D4×C15111yescharacteristic
426C4⋊Q8D4×C15111yescharacteristic
427C4⋊Q8C23×C15111yescharacteristic
428C4⋊Q8C23×C15111yescharacteristic
429C4⋊Q8C23×C15111yescharacteristic
430C4⋊Q8C23×C15111yescharacteristic
431#126—22no—
432#126—22no—
433#126—22no—
434#126—22no—
435#126—22no—
436#126—22no—
437#126—21no—
438#125—22no—
439#125—22no—
440#125—22no—
441#125—22no—
442#125—21no—
443#125—22no—
444#125—21no—
445#125—21no—
446#125—21no—
447#125—21no—
448#125D4×C15111yescharacteristic
449#124—22no—
450#124—21no—
451#124D4×C15111yescharacteristic
452#123—22no—
453#123—21no—
454C22⋊Q8—22no—
455C22⋊Q8—22no—
456C22⋊Q8—21no—
457C22⋊Q8—21no—
458C22⋊Q8—22no—
459C22⋊Q8—21no—
460C22⋊Q8—21no—
461C22⋊Q8—21no—
462C22⋊Q8—21no—
463C22⋊Q8D4×C15111yescharacteristic
464C22⋊Q8D4×C15111yescharacteristic
465C22⋊Q8D4×C15111yescharacteristic
466C22⋊Q8D4×C15112yes—
467#121D4×C15111yescharacteristic
468C4×Q8—22no—
469C4×Q8—21no—
470C4×Q8—21no—
471C4×Q8—21no—
472C4×Q8—21no—
473C4×Q8—21no—
474C4×Q8—21no—
475C4×Q8—21no—
476C4×Q8—21no—
477C4×Q8—21no—
478C4×Q8D4×C15112yes—
479C4×Q8C23×C15111yescharacteristic
480C4×Q8C23×C15111yescharacteristic
481C4×Q8C23×C15111yescharacteristic
482C4×D4—21no—
483C4×D4—21no—
484C4×D4C23×C15111yescharacteristic
485#117—22no—
486#117—21no—
487#117—21no—
488#117—21no—
489#117—21no—
490#117—21no—
491C2×C4⋊C4—21no—
492C2×C42C23×C15111yescharacteristic
493#107—21no—
494#107—21no—
495#107—21no—
496#107—21no—
497#106—22no—
498#106—21no—
499#106—21no—
500C4⋊C8—21no—
501C4⋊C8C23×C15111yescharacteristic
502C4⋊C8C23×C15111yescharacteristic
503C4⋊C8C23×C15111yescharacteristic
504C4⋊C8C23×C15111yescharacteristic
505#103—22no—
506#103—21no—
507#103—21no—
508#103—21no—
509#103—21no—
510#103—22no—
511#103—21no—
512#103—21no—
513#102—21no—
514#102—21no—
515C22⋊C8—21no—
516#97—21no—
517C4×C8—21no—
518C4×C8C23×C15111yescharacteristic
519C4×C8C23×C15111yescharacteristic
520C2×Q8—22no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8C2×D4×C15111yescharacteristic
526C2×Q8C2×D4×C15111yescharacteristic
527C2×Q8C2×D4×C15111yescharacteristic
528C2×Q8C2×D4×C15112yes—
529C2×D4—21no—
530C2×D4C2×D4×C15111yescharacteristic
531C22×C4—22no—
532C22×C4—21no—
533C22×C4C2×D4×C15111yescharacteristic
534C22×C4C2×D4×C15111yescharacteristic
535C22×C4C2×D4×C15111yescharacteristic
536Q16—44no—
537Q16—81no—
538Q16—81no—
539M16—42no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—81no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—22no—
563C4⋊C4—21no—
564C4⋊C4—22no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—41no—
576C4⋊C4—41no—
577C4⋊C4C2×D4×C15112yes—
578C4⋊C4C2×D4×C15111yescharacteristic
579C4⋊C4C2×D4×C15111yescharacteristic
580C4⋊C4C2×D4×C15111yescharacteristic
581C4⋊C4C2×D4×C15111yescharacteristic
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—21no—
586C22⋊C4—22no—
587C22⋊C4—21no—
588C22⋊C4—21no—
589C22⋊C4—21no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—41no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—21no—
599C42—21no—
600C42—21no—
601C42—41no—
602C42C2×D4×C15111yescharacteristic
603C42C2×D4×C15111yescharacteristic
604C42C2×D4×C15111yescharacteristic
605C42C24×C15111yescharacteristic
606C23—21no—
607C23#120×C15111yescharacteristic
608Q8—21no—
609Q8—21no—
610Q8—21no—
611Q8—21no—
612Q8—21no—
613Q8—21no—
614Q8—42no—
615Q8—42no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—81no—
621Q8—82no—
622D4—21no—
623D4—21no—
624D4—81no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—82no—
644C2×C4#120×C15111yescharacteristic
645C2×C4#120×C15111yescharacteristic
646C2×C4#120×C15111yescharacteristic
647C2×C4C22×D4×C15111yescharacteristic
648C2×C4C22×D4×C15111yescharacteristic
649C2×C4C22×D4×C15111yescharacteristic
650C8—22no—
651C8—41no—
652C8—41no—
653C8—41no—
654C8—41no—
655C8—41no—
656C22—21no—
657C22—21no—
658C22—21no—
659C22—41no—
660C22—41no—
661C22—41no—
662C22C2×#120×C15111yescharacteristic
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—41no—
668C4—42no—
669C4—41no—
670C4—41no—
671C4—41no—
672C4—41no—
673C4—42no—
674C4—41no—
675C4—41no—
676C4—81no—
677C4—81no—
678C4#577×C15111yescharacteristic
679C4#578×C15111yescharacteristic
680C4#578×C15111yescharacteristic
681C4#578×C15111yescharacteristic
682C2—41no—
683C2—81no—
684C2#3011×C15111yescharacteristic
685C2#3013×C15111yescharacteristic
686C2#3018×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. #3249×C151C2semidirect
4. #3185×C151C2semidirect
5. #1653×C151C2semidirect
6. #1652×C151C2semidirect
7. #1645×C151C2semidirect
8. #1644×C151C2semidirect
9. #1638×C151C2semidirect
10. #1636×C151C2semidirect
11. #1633×C151C2semidirect
12. #1632×C151C2semidirect
13. #1542×C151C2semidirect
14. #1485×C151C2semidirect
343. #18745C151direct (N × H)
344. C151#18745direct (N × H)
346. #3249C2×C151semidirect
348. #3185C2×C151semidirect
349. #1653C2×C151semidirect
350. #1652C2×C151semidirect
351. #1645C2×C151semidirect
352. #1644C2×C151semidirect
353. #1638C2×C151semidirect
354. #1636C2×C151semidirect
355. #1633C2×C151semidirect
356. #1632C2×C151semidirect
357. #1542C2×C151semidirect
358. #1485C2×C151semidirect

Maximal subgroups

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

subgroupindex
#3555×C1512
#3249×C1512
#3233×C1512
#3185×C1512
#1653×C1512
#1652×C1512
#1645×C1512
#1644×C1512
#1638×C1512
#1636×C1512
#1633×C1512
#1632×C1512
#1542×C1512
#1485×C1512
#1483×C1512
#18745151