Finite Group Databasebeta

← C151×#24233 #50329158

Subgroups — C151×#24233 #50329158

Order 38656.

1336 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3499×C151C211yesmaximal, characteristic
2#3037×C151C211yesmaximal, characteristic, complemented
3C2×#456×C151C212yesmaximal, complemented
4C4×#137×C151C211yesmaximal, characteristic, complemented
5#2546×C151C211yesmaximal, characteristic, complemented
6#2038×C151C212yesmaximal, complemented
7#2005×C151C212yesmaximal, complemented
8#1980×C151C211yesmaximal, characteristic, complemented
9#1966×C151C211yesmaximal, characteristic, complemented
10#1806×C151C211yesmaximal, characteristic, complemented
11#1793×C151C212yesmaximal, complemented
12C2×2−1+4×C151C2212yes—
13C2×#137×C151C2212yes—
14C2×#137×C151C2211yescharacteristic
15D4×Q8×C151—21no—
16D4×Q8×C151—21no—
17#547×C151—21no—
18#547×C151—21no—
19#547×C151—22no—
20#547×C151—22no—
21#536×C151—22no—
22#536×C151C2212yes—
23#532×C151—21no—
24#532×C151C2211yescharacteristic
25C2×C4⋊Q8×C151—21no—
26C2×C4⋊Q8×C151C2212yes—
27C2×C4⋊Q8×C151C2211yescharacteristic
28C4×#41×C151C2211yescharacteristic
29C2×C4×Q8×C151C2211yescharacteristic
30#464×C151—22no—
31#462×C151—21no—
32#460×C151—21no—
33#456×C151—28no—
34#441×C151—21no—
35#440×C151—21no—
36C4×Q16×C151—21no—
37C4×SD16×C151—21no—
38#428×C151C2211yescharacteristic
39#423×C151C2211yescharacteristic
40C2×#104×C151C2212yes—
41C2×#104×C151C2212yes—
42C2×#104×C151C2212yes—
43#419×C151C2211yescharacteristic
44#417×C151C2211yescharacteristic
45#417×C151C2212yes—
46C2×#101×C151C2212yes—
47C2×#101×C151C2212yes—
48C4×M16×C151C2211yescharacteristic
49#398×C151—22no—
50#391×C151C2212yes—
51#389×C151—22no—
52C4×C4⋊C4×C151C2211yescharacteristic
53#339×C151C2212yes—
542−1+4×C151—24no—
552−1+4×C151—24no—
562−1+4×C151—42no—
572−1+4×C151—42no—
58C2×#41×C151—22no—
59C2×#41×C151—22no—
60C2×#41×C151—24no—
61C2×#41×C151C2312yes—
62C2×#41×C151C2311yescharacteristic
63C22×Q8×C151—22no—
64C22×Q8×C151—22no—
65C22×Q8×C151C2312yes—
66C22×Q8×C151C2311yescharacteristic
67#137×C151—22no—
68#137×C151—24no—
69#137×C151—42no—
70#137×C151D414yescomplemented
71C2×Q16×C151—21no—
72C2×Q16×C151—22no—
73C2×SD16×C151—21no—
74C2×SD16×C151—22no—
75C2×M16×C151C2312yes—
76C2×M16×C151C2311yescharacteristic
77C2×M16×C151C2311yescharacteristic
78C4⋊Q8×C151—22no—
79C4⋊Q8×C151—22no—
80C4⋊Q8×C151—21no—
81C4⋊Q8×C151—21no—
82C4⋊Q8×C151—21no—
83C4⋊Q8×C151—21no—
84C4⋊Q8×C151—22no—
85C4⋊Q8×C151—24no—
86C4⋊Q8×C151—42no—
87C4⋊Q8×C151D411yescharacteristic
88#127×C151D411yescharacteristic
89#124×C151—22no—
90#124×C151D412yes—
91#123×C151—24no—
92#123×C151—24no—
93#123×C151—24no—
94C22⋊Q8×C151—24no—
95C22⋊Q8×C151—24no—
96C22⋊Q8×C151—22no—
97C22⋊Q8×C151—22no—
98#121×C151—22no—
99#121×C151—22no—
100#121×C151—21no—
101#121×C151—21no—
102C4×Q8×C151—21no—
103C4×Q8×C151—21no—
104C4×Q8×C151—21no—
105C4×Q8×C151—21no—
106C4×Q8×C151D411yescharacteristic
107C4×Q8×C151D411yescharacteristic
108C4×D4×C151—22no—
109C4×D4×C151—22no—
110C4×D4×C151—21no—
111C4×D4×C151—21no—
112C4×D4×C151—21no—
113C4×D4×C151—21no—
114C4×D4×C151D411yescharacteristic
115C4×D4×C151D411yescharacteristic
116#117×C151—21no—
117#117×C151C2311yescharacteristic
118C2×C4⋊C4×C151—22no—
119C2×C4⋊C4×C151—22no—
120C2×C4⋊C4×C151—21no—
121C2×C4⋊C4×C151—24no—
122C2×C4⋊C4×C151—21no—
123C2×C4⋊C4×C151D412yes—
124C2×C4⋊C4×C151D412yes—
125C2×C4⋊C4×C151C2311yescharacteristic
126C2×C42×C151—21no—
127C2×C42×C151—21no—
128C2×C42×C151C2312yes—
129C2×C42×C151C2311yescharacteristic
130#107×C151—21no—
131#106×C151—21no—
132C4⋊C8×C151—21no—
133C4⋊C8×C151—21no—
134#104×C151—24no—
135#104×C151—24no—
136#104×C151—42no—
137#103×C151—21no—
138#103×C151—21no—
139#103×C151—21no—
140#103×C151—22no—
141#102×C151—21no—
142#102×C151—22no—
143#101×C151—24no—
144#101×C151—42no—
145#97×C151—21no—
146C4×C8×C151—21no—
147#95×C151—21no—
148#95×C151—24no—
149#41×C151—21no—
150#41×C151—21no—
151#41×C151—22no—
152#41×C151—22no—
153#41×C151—22no—
154#41×C151—22no—
155#41×C151—44no—
156#41×C151—44no—
157#41×C151—48no—
158#41×C151—48no—
159#41×C151—44no—
160#41×C151—44no—
161#41×C151C2×D412yes—
162#41×C151#4112yes—
163C2×Q8×C151—24no—
164C2×Q8×C151—22no—
165C2×Q8×C151—22no—
166C2×Q8×C151—22no—
167C2×Q8×C151—22no—
168C2×Q8×C151—22no—
169C2×Q8×C151—21no—
170C2×Q8×C151—22no—
171C2×Q8×C151—21no—
172C2×Q8×C151—21no—
173C2×Q8×C151—21no—
174C2×Q8×C151—21no—
175C2×Q8×C151—44no—
176C2×Q8×C151—44no—
177C2×Q8×C151—44no—
178C2×Q8×C151—44no—
179C2×Q8×C151C2×D412yes—
180C2×Q8×C151C2×D412yes—
181C2×Q8×C151C2×D411yescharacteristic
182C2×D4×C151—21no—
183C2×D4×C151—24no—
184C2×D4×C151—22no—
185C2×D4×C151—21no—
186C2×D4×C151—21no—
187C2×D4×C151C2×D412yes—
188C2×D4×C151C2×D411yescharacteristic
189C22×C4×C151—21no—
190C22×C4×C151—24no—
191C22×C4×C151—24no—
192C22×C4×C151—22no—
193C22×C4×C151—21no—
194C22×C4×C151—21no—
195C22×C4×C151—21no—
196C22×C4×C151—22no—
197C22×C4×C151—21no—
198C22×C4×C151C2×D414yes—
199C22×C4×C151C2×D411yescharacteristic
200C22×C4×C151C2×D411yescharacteristic
201C22×C4×C151C2411yescharacteristic
202Q16×C151—24no—
203Q16×C151—44no—
204SD16×C151—24no—
205SD16×C151—44no—
206M16×C151—21no—
207M16×C151—22no—
208M16×C151—21no—
209M16×C151—22no—
210M16×C151—21no—
211M16×C151C2×D412yes—
212C2×C8×C151—21no—
213C2×C8×C151—21no—
214C2×C8×C151—22no—
215C4⋊C4×C151—24no—
216C4⋊C4×C151—24no—
217C4⋊C4×C151—24no—
218C4⋊C4×C151—21no—
219C4⋊C4×C151—21no—
220C4⋊C4×C151—22no—
221C4⋊C4×C151—22no—
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×C151—41no—
230C4⋊C4×C151—41no—
231C4⋊C4×C151C2×D411yescharacteristic
232C4⋊C4×C151C2×D411yescharacteristic
233C22⋊C4×C151—24no—
234C22⋊C4×C151—24no—
235C22⋊C4×C151—21no—
236C22⋊C4×C151—21no—
237C22⋊C4×C151—21no—
238C22⋊C4×C151—22no—
239C22⋊C4×C151—22no—
240C42×C151—21no—
241C42×C151—21no—
242C42×C151—21no—
243C42×C151—22no—
244C42×C151—22no—
245C42×C151—41no—
246C42×C151—41no—
247C42×C151C2×D411yescharacteristic
248C42×C151C2×D411yescharacteristic
249C42×C151C2×D411yescharacteristic
250C42×C151C2×D411yescharacteristic
251C23×C151—21no—
252C23×C151—22no—
253C23×C151C22×D411yescharacteristic
254Q8×C151—21no—
255Q8×C151—22no—
256Q8×C151—22no—
257Q8×C151—22no—
258Q8×C151—22no—
259Q8×C151—48no—
260Q8×C151—42no—
261Q8×C151—41no—
262Q8×C151—42no—
263Q8×C151—42no—
264Q8×C151—41no—
265Q8×C151—42no—
266Q8×C151#12112yes—
267D4×C151—22no—
268D4×C151—22no—
269D4×C151—21no—
270D4×C151—22no—
271D4×C151—22no—
272D4×C151—42no—
273D4×C151—48no—
274D4×C151—42no—
275D4×C151—42no—
276D4×C151—42no—
277D4×C151#12112yes—
278C2×C4×C151—21no—
279C2×C4×C151—22no—
280C2×C4×C151—22no—
281C2×C4×C151—22no—
282C2×C4×C151—24no—
283C2×C4×C151—24no—
284C2×C4×C151—22no—
285C2×C4×C151—21no—
286C2×C4×C151—21no—
287C2×C4×C151—24no—
288C2×C4×C151—22no—
289C2×C4×C151—24no—
290C2×C4×C151—41no—
291C2×C4×C151—48no—
292C2×C4×C151—42no—
293C2×C4×C151—48no—
294C2×C4×C151—42no—
295C2×C4×C151—41no—
296C2×C4×C151—42no—
297C2×C4×C151—41no—
298C2×C4×C151—42no—
299C2×C4×C151—42no—
300C2×C4×C151—42no—
301C2×C4×C151—42no—
302C2×C4×C151—41no—
303C2×C4×C151#12011yescharacteristic
304C2×C4×C151#12011yescharacteristic
305C2×C4×C151#12011yescharacteristic
306C2×C4×C151#12011yescharacteristic
307C2×C4×C151C22×D411yescharacteristic
308C2×C4×C151C22×D411yescharacteristic
309C2×C4×C151C22×D411yescharacteristic
310C2×C4×C151C2×#4111yescharacteristic
311C2×C4×C151H(5,𝔽2)11yescharacteristic
312C2×C4×C151H(5,𝔽2)11yescharacteristic
313C8×C151—22no—
314C8×C151—41no—
315C8×C151—42no—
316C22×C151—21no—
317C22×C151—21no—
318C22×C151—22no—
319C22×C151—41no—
320C22×C151—41no—
321C22×C151—42no—
322C22×C151—42no—
323C22×C151—42no—
324C22×C151C2×#12011yescharacteristic
325C22×C151D4211yescharacteristic
326C22×C151#54611yescharacteristic
327C4×C151—22no—
328C4×C151—21no—
329C4×C151—21no—
330C4×C151—21no—
331C4×C151—44no—
332C4×C151—44no—
333C4×C151—42no—
334C4×C151—42no—
335C4×C151—41no—
336C4×C151—41no—
337C4×C151—81no—
338C4×C151#45612yescomplemented
339C4×C151C2×#12111yescharacteristic
340C4×C151#53511yescharacteristic
341C4×C151D4211yescharacteristic
342C4×C151#54611yescharacteristic
343C2×C151—21no—
344C2×C151—21no—
345C2×C151—42no—
346C2×C151—82no—
347C2×C151#240811yescharacteristic
348C2×C151C2×#45611yescharacteristic
349C2×C151#302011yescharacteristic
350#24233C15111yesmaximal, characteristic, direct product factor, Sylow
351C151#2423311yescharacteristic, direct product factor, Sylow
352#3499C2×C15111yescharacteristic
353#3037C2×C15111yescharacteristic, complemented
354C2×#456C2×C15112yescomplemented
355C4×#137C2×C15111yescharacteristic, complemented
356#2546C2×C15111yescharacteristic, complemented
357#2038C2×C15112yescomplemented
358#2005C2×C15112yescomplemented
359#1980C2×C15111yescharacteristic, complemented
360#1966C2×C15111yescharacteristic, complemented
361#1806C2×C15111yescharacteristic, complemented
362#1793C2×C15112yescomplemented
363C2×2−1+4C22×C15112yes—
364C2×#137C22×C15112yes—
365C2×#137C22×C15111yescharacteristic
366D4×Q8—21no—
367D4×Q8—21no—
368#547—21no—
369#547—21no—
370#547—22no—
371#547—22no—
372#536—22no—
373#536C22×C15112yes—
374#532—21no—
375#532C22×C15111yescharacteristic
376C2×C4⋊Q8—21no—
377C2×C4⋊Q8C22×C15112yes—
378C2×C4⋊Q8C22×C15111yescharacteristic
379C4×#41C22×C15111yescharacteristic
380C2×C4×Q8C22×C15111yescharacteristic
381#464—22no—
382#462—21no—
383#460—21no—
384#456—28no—
385#441—21no—
386#440—21no—
387C4×Q16—21no—
388C4×SD16—21no—
389#428C22×C15111yescharacteristic
390#423C22×C15111yescharacteristic
391C2×#104C22×C15112yes—
392C2×#104C22×C15112yes—
393C2×#104C22×C15112yes—
394#419C22×C15111yescharacteristic
395#417C22×C15111yescharacteristic
396#417C22×C15112yes—
397C2×#101C22×C15112yes—
398C2×#101C22×C15112yes—
399C4×M16C22×C15111yescharacteristic
400#398—22no—
401#391C22×C15112yes—
402#389—22no—
403C4×C4⋊C4C22×C15111yescharacteristic
404#339C22×C15112yes—
4052−1+4—24no—
4062−1+4—24no—
4072−1+4—42no—
4082−1+4—42no—
409C2×#41—22no—
410C2×#41—22no—
411C2×#41—24no—
412C2×#41C23×C15112yes—
413C2×#41C23×C15111yescharacteristic
414C22×Q8—22no—
415C22×Q8—22no—
416C22×Q8C23×C15111yescharacteristic
417C22×Q8C23×C15112yes—
418#137—22no—
419#137—24no—
420#137—42no—
421#137D4×C15114yescomplemented
422C2×Q16—21no—
423C2×Q16—22no—
424C2×SD16—21no—
425C2×SD16—22no—
426C2×M16C23×C15112yes—
427C2×M16C23×C15111yescharacteristic
428C2×M16C23×C15111yescharacteristic
429C4⋊Q8—22no—
430C4⋊Q8—22no—
431C4⋊Q8—22no—
432C4⋊Q8—24no—
433C4⋊Q8—21no—
434C4⋊Q8—21no—
435C4⋊Q8—21no—
436C4⋊Q8—21no—
437C4⋊Q8—42no—
438C4⋊Q8D4×C15111yescharacteristic
439#127D4×C15111yescharacteristic
440#124—22no—
441#124D4×C15112yes—
442#123—24no—
443#123—24no—
444#123—24no—
445C22⋊Q8—24no—
446C22⋊Q8—24no—
447C22⋊Q8—22no—
448C22⋊Q8—22no—
449#121—22no—
450#121—22no—
451#121—21no—
452#121—21no—
453C4×Q8—21no—
454C4×Q8—21no—
455C4×Q8—21no—
456C4×Q8—21no—
457C4×Q8D4×C15111yescharacteristic
458C4×Q8D4×C15111yescharacteristic
459C4×D4—22no—
460C4×D4—22no—
461C4×D4—21no—
462C4×D4—21no—
463C4×D4—21no—
464C4×D4—21no—
465C4×D4D4×C15111yescharacteristic
466C4×D4D4×C15111yescharacteristic
467#117—21no—
468#117C23×C15111yescharacteristic
469C2×C4⋊C4—22no—
470C2×C4⋊C4—22no—
471C2×C4⋊C4—21no—
472C2×C4⋊C4—21no—
473C2×C4⋊C4—24no—
474C2×C4⋊C4D4×C15112yes—
475C2×C4⋊C4D4×C15112yes—
476C2×C4⋊C4C23×C15111yescharacteristic
477C2×C42—21no—
478C2×C42—21no—
479C2×C42C23×C15112yes—
480C2×C42C23×C15111yescharacteristic
481#107—21no—
482#106—21no—
483C4⋊C8—21no—
484C4⋊C8—21no—
485#104—24no—
486#104—24no—
487#104—42no—
488#103—21no—
489#103—22no—
490#103—21no—
491#103—21no—
492#102—21no—
493#102—22no—
494#101—24no—
495#101—42no—
496#97—21no—
497C4×C8—21no—
498#95—21no—
499#95—24no—
500#41—21no—
501#41—21no—
502#41—22no—
503#41—22no—
504#41—22no—
505#41—22no—
506#41—44no—
507#41—44no—
508#41—48no—
509#41—48no—
510#41—44no—
511#41—44no—
512#41C2×D4×C15112yes—
513#41#41×C15112yes—
514C2×Q8—24no—
515C2×Q8—22no—
516C2×Q8—22no—
517C2×Q8—22no—
518C2×Q8—22no—
519C2×Q8—22no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—44no—
527C2×Q8—44no—
528C2×Q8—44no—
529C2×Q8—44no—
530C2×Q8C2×D4×C15112yes—
531C2×Q8C2×D4×C15112yes—
532C2×Q8C2×D4×C15111yescharacteristic
533C2×D4—21no—
534C2×D4—24no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4C2×D4×C15112yes—
539C2×D4C2×D4×C15111yescharacteristic
540C22×C4—21no—
541C22×C4—24no—
542C22×C4—24no—
543C22×C4—22no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—22no—
548C22×C4—21no—
549C22×C4C2×D4×C15114yes—
550C22×C4C2×D4×C15111yescharacteristic
551C22×C4C2×D4×C15111yescharacteristic
552C22×C4C24×C15111yescharacteristic
553Q16—24no—
554Q16—44no—
555SD16—24no—
556SD16—44no—
557M16—21no—
558M16—22no—
559M16—21no—
560M16—22no—
561M16—21no—
562M16C2×D4×C15112yes—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—22no—
566C4⋊C4—24no—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—48no—
580C4⋊C4—41no—
581C4⋊C4—41no—
582C4⋊C4C2×D4×C15111yescharacteristic
583C4⋊C4C2×D4×C15111yescharacteristic
584C22⋊C4—24no—
585C22⋊C4—24no—
586C22⋊C4—21no—
587C22⋊C4—21no—
588C22⋊C4—21no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C42—21no—
592C42—21no—
593C42—21no—
594C42—22no—
595C42—22no—
596C42—41no—
597C42—41no—
598C42C2×D4×C15111yescharacteristic
599C42C2×D4×C15111yescharacteristic
600C42C2×D4×C15111yescharacteristic
601C42C2×D4×C15111yescharacteristic
602C23—21no—
603C23—22no—
604C23C22×D4×C15111yescharacteristic
605Q8—21no—
606Q8—22no—
607Q8—22no—
608Q8—22no—
609Q8—22no—
610Q8—48no—
611Q8—42no—
612Q8—42no—
613Q8—41no—
614Q8—42no—
615Q8—42no—
616Q8—41no—
617Q8#121×C15112yes—
618D4—22no—
619D4—22no—
620D4—21no—
621D4—22no—
622D4—22no—
623D4—42no—
624D4—48no—
625D4—42no—
626D4—42no—
627D4—42no—
628D4#121×C15112yes—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—41no—
642C2×C4—48no—
643C2×C4—42no—
644C2×C4—48no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—41no—
654C2×C4#120×C15111yescharacteristic
655C2×C4#120×C15111yescharacteristic
656C2×C4#120×C15111yescharacteristic
657C2×C4#120×C15111yescharacteristic
658C2×C4C22×D4×C15111yescharacteristic
659C2×C4C22×D4×C15111yescharacteristic
660C2×C4C22×D4×C15111yescharacteristic
661C2×C4C2×#41×C15111yescharacteristic
662C2×C4H(5,𝔽2)×C15111yescharacteristic
663C2×C4H(5,𝔽2)×C15111yescharacteristic
664C8—22no—
665C8—41no—
666C8—42no—
667C22—21no—
668C22—21no—
669C22—22no—
670C22—41no—
671C22—41no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22C2×#120×C15111yescharacteristic
676C22D42×C15111yescharacteristic
677C22#546×C15111yescharacteristic
678C4—22no—
679C4—21no—
680C4—21no—
681C4—21no—
682C4—44no—
683C4—44no—
684C4—42no—
685C4—42no—
686C4—41no—
687C4—41no—
688C4—81no—
689C4#456×C15112yescomplemented
690C4C2×#121×C15111yescharacteristic
691C4#535×C15111yescharacteristic
692C4D42×C15111yescharacteristic
693C4#546×C15111yescharacteristic
694C2—21no—
695C2—21no—
696C2—42no—
697C2—82no—
698C2#2408×C15111yescharacteristic
699C2C2×#456×C15111yescharacteristic
700C2#3020×C15111yescharacteristic
subgroupG/H
center, socleC22×C151C2×#120
commutator, Frattini, cosocleC22×C4C24×C151
prime radical#3499×C151C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C151 ◁ C2×C42×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. #3037×C151C2semidirect
3. C2×#456×C151C2semidirect
4. C4×#137×C151C2semidirect
5. #2546×C151C2semidirect
6. #2038×C151C2semidirect
7. #2005×C151C2semidirect
8. #1980×C151C2semidirect
9. #1966×C151C2semidirect
10. #1806×C151C2semidirect
11. #1793×C151C2semidirect
70. #137×C151D4semidirect
338. C4×C151#456semidirect
350. #24233C151direct (N × H)
351. C151#24233direct (N × H)
353. #3037C2×C151semidirect
354. C2×#456C2×C151semidirect
355. C4×#137C2×C151semidirect
356. #2546C2×C151semidirect
357. #2038C2×C151semidirect
358. #2005C2×C151semidirect
359. #1980C2×C151semidirect
360. #1966C2×C151semidirect
361. #1806C2×C151semidirect
362. #1793C2×C151semidirect
421. #137D4×C151semidirect
689. C4#456×C151semidirect

Maximal subgroups

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

subgroupindex
#3499×C1512
#3037×C1512
C2×#456×C1512
C4×#137×C1512
#2546×C1512
#2038×C1512
#2005×C1512
#1980×C1512
#1966×C1512
#1806×C1512
#1793×C1512
#24233151