Finite Group Databasebeta

← C151×#18236 #50323161

Subgroups — C151×#18236 #50323161

Order 38656.

1044 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3537×C151C211yesmaximal, characteristic
2#3094×C151C211yesmaximal, characteristic, complemented
3#3091×C151C211yesmaximal, characteristic, complemented
4#2624×C151C211yesmaximal, characteristic, complemented
5#1618×C151C212yesmaximal, complemented
6#1613×C151C212yesmaximal, complemented
7#1612×C151C212yesmaximal, complemented
8#1607×C151C212yesmaximal, complemented
9#1519×C151C211yesmaximal, characteristic, complemented
10#1513×C151C211yesmaximal, characteristic, complemented
11#1471×C151C211yesmaximal, characteristic, complemented
12#560×C151—22no—
13#553×C151—21no—
14#553×C151—21no—
15D42×C151—22no—
16D42×C151—21no—
17D42×C151—21no—
18#540×C151—21no—
19#538×C151—21no—
20#538×C151C2212yes—
21#535×C151—21no—
22#534×C151—21no—
23#534×C151C2212yes—
24#525×C151C2211yescharacteristic
25C2×#121×C151C2211yescharacteristic
26C2×#121×C151C2211yescharacteristic
27C2×#117×C151C2211yescharacteristic, complemented
28#485×C151—21no—
29#484×C151C2211yescharacteristic, complemented
30#483×C151C2211yescharacteristic, complemented
31#482×C151—21no—
32#482×C151—22no—
33#481×C151C2211yescharacteristic, complemented
34#481×C151C2212yescomplemented
35#480×C151C2211yescharacteristic, complemented
36#480×C151C2212yescomplemented
37#428×C151—21no—
38#427×C151—21no—
39#418×C151—21no—
40#416×C151—21no—
41#407×C151C2211yescharacteristic, complemented
42C2×C22⋊C8×C151C2211yescharacteristic, complemented
43#399×C151C2212yescomplemented
44#397×C151C2212yescomplemented
45#394×C151—22no—
46#390×C151—21no—
47#389×C151—21no—
48#380×C151C2211yescharacteristic, complemented
49#328×C151C2212yescomplemented
50#327×C151C2212yescomplemented
51#327×C151C2212yescomplemented
52#327×C151C2212yescomplemented
53#323×C151C2212yescomplemented
54#323×C151C2212yescomplemented
55C2×#41×C151D411yescharacteristic
56C22×D4×C151—22no—
57C22×D4×C151—21no—
58C22×D4×C151—21no—
59C22×D4×C151—22no—
60C22×D4×C151D411yescharacteristic
61C22×D4×C151D411yescharacteristic
62C22×D4×C151D412yes—
63C23×C4×C151C2311yescharacteristic
64C2×M16×C151—21no—
65C22×C8×C151—21no—
66#127×C151—22no—
67#127×C151—21no—
68#126×C151—22no—
69#126×C151—22no—
70#125×C151—21no—
71#124×C151—22no—
72#123×C151—22no—
73#123×C151—21no—
74#123×C151—22no—
75#123×C151—22no—
76#123×C151—22no—
77C22⋊Q8×C151D411yescharacteristic
78C22⋊Q8×C151C2311yescharacteristic
79#121×C151—22no—
80#121×C151—21no—
81#121×C151—21no—
82#121×C151—22no—
83#121×C151—22no—
84#121×C151—22no—
85#121×C151—22no—
86#121×C151—21no—
87#121×C151—21no—
88#121×C151—21no—
89#121×C151—21no—
90#121×C151—21no—
91#121×C151—21no—
92#121×C151—22no—
93#121×C151D412yes—
94#121×C151D411yescharacteristic
95#121×C151C2312yes—
96#121×C151C2311yescharacteristic
97#120×C151—22no—
98#120×C151—22no—
99#120×C151—22no—
100#120×C151—22no—
101#120×C151—22no—
102#120×C151—21no—
103#120×C151—22no—
104C4×D4×C151—22no—
105C4×D4×C151—21no—
106C4×D4×C151—21no—
107C4×D4×C151—21no—
108C4×D4×C151—21no—
109C4×D4×C151—22no—
110#117×C151—21no—
111#117×C151—21no—
112#117×C151—21no—
113#117×C151—21no—
114#117×C151—21no—
115#117×C151D411yescharacteristic
116C2×C4⋊C4×C151—21no—
117C2×C4⋊C4×C151—22no—
118C2×C4⋊C4×C151D411yescharacteristic
119C2×C4⋊C4×C151D411yescharacteristic
120C2×C4⋊C4×C151C2311yescharacteristic
121C2×C4⋊C4×C151C2311yescharacteristic
122C2×C22⋊C4×C151—21no—
123C2×C22⋊C4×C151—21no—
124C2×C22⋊C4×C151—21no—
125C2×C22⋊C4×C151—22no—
126C2×C22⋊C4×C151—22no—
127C2×C22⋊C4×C151C2312yes—
128C2×C42×C151—21no—
129#107×C151—21no—
130#107×C151—21no—
131#107×C151—22no—
132#106×C151—21no—
133#106×C151—21no—
134#106×C151—22no—
135#103×C151—21no—
136#103×C151—21no—
137#102×C151—21no—
138#102×C151—21no—
139#102×C151—22no—
140#102×C151—22no—
141C22⋊C8×C151—21no—
142C22⋊C8×C151—21no—
143C22⋊C8×C151C2311yescharacteristic
144C22⋊C8×C151C2311yescharacteristic
145C22⋊C8×C151C2312yes—
146#95×C151—22no—
147#95×C151C2312yes—
148C24×C151—22no—
149C24×C151—21no—
150C24×C151C2×D412yes—
151C24×C151C2×D411yescharacteristic
152#41×C151—42no—
153C2×Q8×C151C2×D411yescharacteristic
154C2×D4×C151—22no—
155C2×D4×C151—21no—
156C2×D4×C151—21no—
157C2×D4×C151—22no—
158C2×D4×C151—22no—
159C2×D4×C151—22no—
160C2×D4×C151—22no—
161C2×D4×C151—22no—
162C2×D4×C151—22no—
163C2×D4×C151—21no—
164C2×D4×C151—22no—
165C2×D4×C151—22no—
166C2×D4×C151—21no—
167C2×D4×C151—21no—
168C2×D4×C151—21no—
169C2×D4×C151—42no—
170C2×D4×C151—42no—
171C2×D4×C151—82no—
172C2×D4×C151—82no—
173C2×D4×C151—81no—
174C2×D4×C151—81no—
175C2×D4×C151—82no—
176C2×D4×C151—82no—
177C2×D4×C151—84no—
178C2×D4×C151C2×D411yescharacteristic
179C2×D4×C151C2×D412yes—
180C22×C4×C151—22no—
181C22×C4×C151—22no—
182C22×C4×C151—21no—
183C22×C4×C151—21no—
184C22×C4×C151—21no—
185C22×C4×C151—22no—
186C22×C4×C151—21no—
187C22×C4×C151—42no—
188C22×C4×C151C2×D411yescharacteristic
189C22×C4×C151C2×D411yescharacteristic
190C22×C4×C151C2×D411yescharacteristic
191C22×C4×C151C2×D412yes—
192C22×C4×C151C2×D411yescharacteristic
193C22×C4×C151C2×D411yescharacteristic
194C22×C4×C151C2411yescharacteristic
195M16×C151—42no—
196C2×C8×C151—22no—
197C2×C8×C151—21no—
198C2×C8×C151—21no—
199C2×C8×C151—42no—
200C4⋊C4×C151—22no—
201C4⋊C4×C151—22no—
202C4⋊C4×C151—21no—
203C4⋊C4×C151—21no—
204C4⋊C4×C151—21no—
205C4⋊C4×C151—21no—
206C4⋊C4×C151—21no—
207C4⋊C4×C151—21no—
208C4⋊C4×C151—21no—
209C4⋊C4×C151—21no—
210C4⋊C4×C151—21no—
211C4⋊C4×C151—42no—
212C4⋊C4×C151—82no—
213C4⋊C4×C151C2×D412yes—
214C4⋊C4×C151C2×D411yescharacteristic
215C4⋊C4×C151C2×D411yescharacteristic
216C22⋊C4×C151—22no—
217C22⋊C4×C151—22no—
218C22⋊C4×C151—22no—
219C22⋊C4×C151—22no—
220C22⋊C4×C151—22no—
221C22⋊C4×C151—21no—
222C22⋊C4×C151—21no—
223C22⋊C4×C151—21no—
224C22⋊C4×C151—22no—
225C22⋊C4×C151—21no—
226C22⋊C4×C151—22no—
227C22⋊C4×C151—22no—
228C22⋊C4×C151—22no—
229C22⋊C4×C151—21no—
230C22⋊C4×C151—41no—
231C22⋊C4×C151—41no—
232C22⋊C4×C151—81no—
233C22⋊C4×C151—82no—
234C22⋊C4×C151—82no—
235C42×C151—22no—
236C42×C151—21no—
237C42×C151—41no—
238C42×C151—41no—
239C23×C151—21no—
240C23×C151—21no—
241C23×C151—22no—
242C23×C151—21no—
243C23×C151—22no—
244C23×C151—22no—
245C23×C151—22no—
246C23×C151—41no—
247C23×C151—41no—
248C23×C151—42no—
249C23×C151—42no—
250C23×C151—42no—
251C23×C151—81no—
252C23×C151—81no—
253C23×C151—82no—
254C23×C151—82no—
255C23×C151—82no—
256C23×C151#12011yescharacteristic
257C23×C151#12011yescharacteristic
258C23×C151C22×D411yescharacteristic
259Q8×C151—41no—
260D4×C151—41no—
261D4×C151—42no—
262D4×C151—44no—
263D4×C151—42no—
264D4×C151—42no—
265D4×C151—41no—
266D4×C151—42no—
267D4×C151—41no—
268D4×C151—42no—
269D4×C151—42no—
270D4×C151—81no—
271D4×C151—81no—
272D4×C151—82no—
273D4×C151—82no—
274D4×C151—82no—
275D4×C151—82no—
276D4×C151—82no—
277D4×C151—82no—
278D4×C151—82no—
279C2×C4×C151—22no—
280C2×C4×C151—22no—
281C2×C4×C151—22no—
282C2×C4×C151—21no—
283C2×C4×C151—22no—
284C2×C4×C151—22no—
285C2×C4×C151—21no—
286C2×C4×C151—21no—
287C2×C4×C151—41no—
288C2×C4×C151—41no—
289C2×C4×C151—41no—
290C2×C4×C151—42no—
291C2×C4×C151—42no—
292C2×C4×C151—41no—
293C2×C4×C151—42no—
294C2×C4×C151—42no—
295C2×C4×C151—41no—
296C2×C4×C151—41no—
297C2×C4×C151—41no—
298C2×C4×C151—42no—
299C2×C4×C151—41no—
300C2×C4×C151—41no—
301C2×C4×C151—81no—
302C2×C4×C151—82no—
303C2×C4×C151—82no—
304C2×C4×C151#12011yescharacteristic
305C2×C4×C151#12011yescharacteristic
306C2×C4×C151C22×D411yescharacteristic
307C2×C4×C151C22×D411yescharacteristic
308C8×C151—41no—
309C8×C151—41no—
310C8×C151—42no—
311C22×C151—21no—
312C22×C151—21no—
313C22×C151—21no—
314C22×C151—21no—
315C22×C151—21no—
316C22×C151—21no—
317C22×C151—21no—
318C22×C151—21no—
319C22×C151—42no—
320C22×C151—42no—
321C22×C151—41no—
322C22×C151—42no—
323C22×C151—42no—
324C22×C151—41no—
325C22×C151—41no—
326C22×C151—42no—
327C22×C151—42no—
328C22×C151—81no—
329C22×C151—81no—
330C22×C151—82no—
331C22×C151—82no—
332C22×C151—162no—
333C22×C151—164no—
334C22×C151C2×#12011yescharacteristic
335C22×C151#57611yescharacteristic
336C22×C151#57711yescharacteristic
337C4×C151—21no—
338C4×C151—21no—
339C4×C151—21no—
340C4×C151—42no—
341C4×C151—41no—
342C4×C151—42no—
343C4×C151—41no—
344C4×C151—41no—
345C4×C151—82no—
346C4×C151—81no—
347C4×C151—81no—
348C4×C151#45812yes—
349C2×C151—21no—
350C2×C151—21no—
351C2×C151—41no—
352C2×C151—41no—
353C2×C151—82no—
354C2×C151—82no—
355C2×C151—81no—
356C2×C151#301211yescharacteristic
357C2×C151#301911yescharacteristic
358C2×C151C2×#45811yescharacteristic
359#18236C15111yesmaximal, characteristic, direct product factor, Sylow
360C151#1823611yescharacteristic, direct product factor, Sylow
361#3537C2×C15111yescharacteristic
362#3094C2×C15111yescharacteristic, complemented
363#3091C2×C15111yescharacteristic, complemented
364#2624C2×C15111yescharacteristic, complemented
365#1618C2×C15112yescomplemented
366#1613C2×C15112yescomplemented
367#1612C2×C15112yescomplemented
368#1607C2×C15112yescomplemented
369#1519C2×C15111yescharacteristic, complemented
370#1513C2×C15111yescharacteristic, complemented
371#1471C2×C15111yescharacteristic, complemented
372#560—22no—
373#553—21no—
374#553—21no—
375D42—22no—
376D42—21no—
377D42—21no—
378#540—21no—
379#538—21no—
380#538C22×C15112yes—
381#535—21no—
382#534—21no—
383#534C22×C15112yes—
384#525C22×C15111yescharacteristic
385C2×#121C22×C15111yescharacteristic
386C2×#121C22×C15111yescharacteristic
387C2×#117C22×C15111yescharacteristic, complemented
388#485—21no—
389#484C22×C15111yescharacteristic, complemented
390#483C22×C15111yescharacteristic, complemented
391#482—21no—
392#482—22no—
393#481C22×C15111yescharacteristic, complemented
394#481C22×C15112yescomplemented
395#480C22×C15111yescharacteristic, complemented
396#480C22×C15112yescomplemented
397#428—21no—
398#427—21no—
399#418—21no—
400#416—21no—
401#407C22×C15111yescharacteristic, complemented
402C2×C22⋊C8C22×C15111yescharacteristic, complemented
403#399C22×C15112yescomplemented
404#397C22×C15112yescomplemented
405#394—22no—
406#390—21no—
407#389—21no—
408#380C22×C15111yescharacteristic, complemented
409#328C22×C15112yescomplemented
410#327C22×C15112yescomplemented
411#327C22×C15112yescomplemented
412#327C22×C15112yescomplemented
413#323C22×C15112yescomplemented
414#323C22×C15112yescomplemented
415C2×#41D4×C15111yescharacteristic
416C22×D4—22no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4D4×C15111yescharacteristic
421C22×D4D4×C15112yes—
422C22×D4D4×C15111yescharacteristic
423C23×C4C23×C15111yescharacteristic
424C2×M16—21no—
425C22×C8—21no—
426#127—22no—
427#127—21no—
428#126—22no—
429#126—22no—
430#125—21no—
431#124—22no—
432#123—22no—
433#123—21no—
434#123—22no—
435#123—22no—
436#123—22no—
437C22⋊Q8D4×C15111yescharacteristic
438C22⋊Q8C23×C15111yescharacteristic
439#121—22no—
440#121—21no—
441#121—21no—
442#121—22no—
443#121—22no—
444#121—22no—
445#121—22no—
446#121—21no—
447#121—21no—
448#121—21no—
449#121—21no—
450#121—21no—
451#121—21no—
452#121—22no—
453#121D4×C15112yes—
454#121D4×C15111yescharacteristic
455#121C23×C15112yes—
456#121C23×C15111yescharacteristic
457#120—22no—
458#120—22no—
459#120—22no—
460#120—21no—
461#120—22no—
462#120—22no—
463#120—22no—
464C4×D4—22no—
465C4×D4—21no—
466C4×D4—21no—
467C4×D4—21no—
468C4×D4—21no—
469C4×D4—22no—
470#117—21no—
471#117—21no—
472#117—21no—
473#117—21no—
474#117—21no—
475#117D4×C15111yescharacteristic
476C2×C4⋊C4—21no—
477C2×C4⋊C4—22no—
478C2×C4⋊C4D4×C15111yescharacteristic
479C2×C4⋊C4D4×C15111yescharacteristic
480C2×C4⋊C4C23×C15111yescharacteristic
481C2×C4⋊C4C23×C15111yescharacteristic
482C2×C22⋊C4—21no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4—21no—
485C2×C22⋊C4—22no—
486C2×C22⋊C4—22no—
487C2×C22⋊C4C23×C15112yes—
488C2×C42—21no—
489#107—21no—
490#107—21no—
491#107—22no—
492#106—21no—
493#106—21no—
494#106—22no—
495#103—21no—
496#103—21no—
497#102—21no—
498#102—21no—
499#102—22no—
500#102—22no—
501C22⋊C8—21no—
502C22⋊C8—21no—
503C22⋊C8C23×C15111yescharacteristic
504C22⋊C8C23×C15111yescharacteristic
505C22⋊C8C23×C15112yes—
506#95—22no—
507#95C23×C15112yes—
508C24—22no—
509C24—21no—
510C24C2×D4×C15112yes—
511C24C2×D4×C15111yescharacteristic
512#41—42no—
513C2×Q8C2×D4×C15111yescharacteristic
514C2×D4—22no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—22no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—21no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4—82no—
532C2×D4—82no—
533C2×D4—81no—
534C2×D4—81no—
535C2×D4—82no—
536C2×D4—82no—
537C2×D4—84no—
538C2×D4C2×D4×C15111yescharacteristic
539C2×D4C2×D4×C15112yes—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—22no—
546C22×C4—21no—
547C22×C4—42no—
548C22×C4C2×D4×C15111yescharacteristic
549C22×C4C2×D4×C15111yescharacteristic
550C22×C4C2×D4×C15111yescharacteristic
551C22×C4C2×D4×C15112yes—
552C22×C4C2×D4×C15111yescharacteristic
553C22×C4C2×D4×C15111yescharacteristic
554C22×C4C24×C15111yescharacteristic
555M16—42no—
556C2×C8—22no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—42no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—42no—
572C4⋊C4—82no—
573C4⋊C4C2×D4×C15112yes—
574C4⋊C4C2×D4×C15111yescharacteristic
575C4⋊C4C2×D4×C15111yescharacteristic
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—22no—
585C22⋊C4—21no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—21no—
590C22⋊C4—41no—
591C22⋊C4—41no—
592C22⋊C4—81no—
593C22⋊C4—82no—
594C22⋊C4—82no—
595C42—22no—
596C42—21no—
597C42—41no—
598C42—41no—
599C23—21no—
600C23—21no—
601C23—22no—
602C23—22no—
603C23—21no—
604C23—22no—
605C23—22no—
606C23—41no—
607C23—41no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—81no—
612C23—81no—
613C23—82no—
614C23—82no—
615C23—82no—
616C23#120×C15111yescharacteristic
617C23#120×C15111yescharacteristic
618C23C22×D4×C15111yescharacteristic
619Q8—41no—
620D4—42no—
621D4—41no—
622D4—44no—
623D4—42no—
624D4—42no—
625D4—41no—
626D4—42no—
627D4—41no—
628D4—42no—
629D4—42no—
630D4—81no—
631D4—82no—
632D4—82no—
633D4—81no—
634D4—82no—
635D4—82no—
636D4—82no—
637D4—82no—
638D4—82no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—81no—
662C2×C4—82no—
663C2×C4—82no—
664C2×C4#120×C15111yescharacteristic
665C2×C4#120×C15111yescharacteristic
666C2×C4C22×D4×C15111yescharacteristic
667C2×C4C22×D4×C15111yescharacteristic
668C8—41no—
669C8—41no—
670C8—42no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—21no—
679C22—42no—
680C22—42no—
681C22—41no—
682C22—42no—
683C22—42no—
684C22—41no—
685C22—41no—
686C22—42no—
687C22—42no—
688C22—81no—
689C22—81no—
690C22—82no—
691C22—82no—
692C22—162no—
693C22—164no—
694C22C2×#120×C15111yescharacteristic
695C22#576×C15111yescharacteristic
696C22#577×C15111yescharacteristic
697C4—21no—
698C4—21no—
699C4—21no—
700C4—42no—
701C4—41no—
702C4—42no—
703C4—41no—
704C4—41no—
705C4—82no—
706C4—81no—
707C4—81no—
708C4#458×C15112yes—
709C2—21no—
710C2—21no—
711C2—41no—
712C2—41no—
713C2—82no—
714C2—82no—
715C2—81no—
716C2#3012×C15111yescharacteristic
717C2#3019×C15111yescharacteristic
718C2C2×#458×C15111yescharacteristic
subgroupG/H
center, socleC22×C151C2×#120
commutator, Frattini, cosocleC22×C4C24×C151
prime radical#3537×C151C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C151 ◁ C23×C4×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. #3094×C151C2semidirect
3. #3091×C151C2semidirect
4. #2624×C151C2semidirect
5. #1618×C151C2semidirect
6. #1613×C151C2semidirect
7. #1612×C151C2semidirect
8. #1607×C151C2semidirect
9. #1519×C151C2semidirect
10. #1513×C151C2semidirect
11. #1471×C151C2semidirect
27. C2×#117×C151C22semidirect
29. #484×C151C22semidirect
30. #483×C151C22semidirect
33. #481×C151C22semidirect
34. #481×C151C22semidirect
35. #480×C151C22semidirect
36. #480×C151C22semidirect
41. #407×C151C22semidirect
42. C2×C22⋊C8×C151C22semidirect
43. #399×C151C22semidirect
44. #397×C151C22semidirect
48. #380×C151C22semidirect
49. #328×C151C22semidirect
50. #327×C151C22semidirect
51. #327×C151C22semidirect
52. #327×C151C22semidirect
53. #323×C151C22semidirect
54. #323×C151C22semidirect
359. #18236C151direct (N × H)
360. C151#18236direct (N × H)
362. #3094C2×C151semidirect
363. #3091C2×C151semidirect
364. #2624C2×C151semidirect
365. #1618C2×C151semidirect
366. #1613C2×C151semidirect
367. #1612C2×C151semidirect
368. #1607C2×C151semidirect
369. #1519C2×C151semidirect
370. #1513C2×C151semidirect
371. #1471C2×C151semidirect
387. C2×#117C22×C151semidirect
389. #484C22×C151semidirect
390. #483C22×C151semidirect
393. #481C22×C151semidirect
394. #481C22×C151semidirect
395. #480C22×C151semidirect
396. #480C22×C151semidirect
401. #407C22×C151semidirect
402. C2×C22⋊C8C22×C151semidirect
403. #399C22×C151semidirect
404. #397C22×C151semidirect
408. #380C22×C151semidirect
409. #328C22×C151semidirect
410. #327C22×C151semidirect
411. #327C22×C151semidirect
412. #327C22×C151semidirect
413. #323C22×C151semidirect
414. #323C22×C151semidirect

Maximal subgroups

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

subgroupindex
#3537×C1512
#3094×C1512
#3091×C1512
#2624×C1512
#1618×C1512
#1613×C1512
#1612×C1512
#1607×C1512
#1519×C1512
#1513×C1512
#1471×C1512
#18236151