Finite Group Databasebeta

← C151×#24401 #50329326

Subgroups — C151×#24401 #50329326

Order 38656.

1348 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#137×C151C211yesmaximal, characteristic, complemented
2C2×#471×C151C212yesmaximal, complemented
3#3006×C151C211yesmaximal, characteristic
4C2×#448×C151C211yesmaximal, characteristic, complemented
5#2880×C151C211yesmaximal, characteristic, complemented
6#2052×C151C212yesmaximal, complemented
7#2019×C151C212yesmaximal, complemented
8#1908×C151C212yesmaximal, complemented
9#1900×C151C211yesmaximal, characteristic, complemented
10#1855×C151C211yesmaximal, characteristic, complemented
11#1784×C151C211yesmaximal, characteristic, complemented
12C22×#41×C151C2211yescharacteristic
13C23×Q8×C151C2211yescharacteristic
14C2×#137×C151—21no—
15C2×#137×C151—21no—
16C2×#137×C151—28no—
17C2×#137×C151C2212yes—
18C2×#137×C151C2212yes—
19C2×AGL(1,ℤ/8)×C151C2211yescharacteristic
20C2×AGL(1,ℤ/8)×C151C2211yescharacteristic
21C22×Q16×C151—21no—
22C22×SD16×C151—21no—
23C22×SD16×C151C2212yescomplemented
24C2×#131×C151C2212yes—
25C22×M16×C151C2211yescharacteristic
26C2×#121×C151C2211yescharacteristic
27#471×C151—28no—
28#449×C151—21no—
29#449×C151—21no—
30#448×C151—21no—
31#448×C151—21no—
32#448×C151—21no—
33#448×C151—22no—
34#447×C151—21no—
35C2×#108×C151C2212yescomplemented
36#417×C151C2211yescharacteristic
37#417×C151C2211yescharacteristic
38C2×#103×C151C2212yescomplemented
39C2×#101×C151C2212yescomplemented
40C2×#101×C151C2212yescomplemented
41C2×#100×C151C2212yescomplemented
42#408×C151—22no—
43#408×C151C2212yes—
44#407×C151—21no—
45#407×C151C2211yescharacteristic
46#407×C151C2211yescharacteristic
47C2×C22⋊C8×C151—21no—
48C2×C22⋊C8×C151C2211yescharacteristic
49#343×C151C2212yescomplemented
50#341×C151C2212yescomplemented
51C2×#41×C151—24no—
52C2×#41×C151—21no—
53C2×#41×C151—21no—
54C2×#41×C151—42no—
55C2×#41×C151D411yescharacteristic
56C2×#41×C151D411yescharacteristic
57C2×#41×C151C2311yescharacteristic
58C2×#41×C151C2311yescharacteristic
59C22×Q8×C151—21no—
60C22×Q8×C151—21no—
61C22×Q8×C151—24no—
62C22×Q8×C151—21no—
63C22×Q8×C151—21no—
64C22×Q8×C151—21no—
65C22×Q8×C151—42no—
66C22×Q8×C151D411yescharacteristic
67C22×Q8×C151C2312yes—
68C22×D4×C151—21no—
69C22×D4×C151—21no—
70C22×D4×C151D411yescharacteristic
71C22×D4×C151C2311yescharacteristic
72C23×C4×C151—21no—
73C23×C4×C151—21no—
74C23×C4×C151C2311yescharacteristic
75#137×C151—28no—
76#137×C151—28no—
77#137×C151—24no—
78#137×C151—24no—
79#137×C151—24no—
80#137×C151D418yescomplemented
81AGL(1,ℤ/8)×C151—24no—
82AGL(1,ℤ/8)×C151—42no—
83C2×Q16×C151—28no—
84C2×Q16×C151—22no—
85C2×Q16×C151—22no—
86C2×SD16×C151—28no—
87C2×SD16×C151—22no—
88C2×SD16×C151—22no—
89C2×SD16×C151—22no—
90C2×SD16×C151—22no—
91C2×SD16×C151—21no—
92C2×SD16×C151—21no—
93C2×SD16×C151—24no—
94C2×SD16×C151—42no—
95C2×D8×C151—21no—
96C2×D8×C151—21no—
97#131×C151—24no—
98#131×C151—42no—
99C2×M16×C151—21no—
100C2×M16×C151—24no—
101C2×M16×C151—22no—
102C2×M16×C151C2311yescharacteristic
103C2×M16×C151C2312yes—
104C2×M16×C151C2311yescharacteristic
105C2×M16×C151C2312yes—
106C22×C8×C151—21no—
107C22×C8×C151—22no—
108C22×C8×C151C2312yes—
109#121×C151—21no—
110#121×C151—21no—
111#121×C151—21no—
112#121×C151—21no—
113C2×C4⋊C4×C151C2311yescharacteristic
114C2×C22⋊C4×C151—21no—
115#108×C151—24no—
116#103×C151—22no—
117#103×C151—22no—
118#103×C151—21no—
119#103×C151—21no—
120#102×C151—21no—
121#102×C151—21no—
122#101×C151—24no—
123#101×C151—42no—
124#100×C151—24no—
125C22⋊C8×C151—21no—
126C22⋊C8×C151—21no—
127C22⋊C8×C151—21no—
128C22⋊C8×C151—21no—
129C22⋊C8×C151—22no—
130C22⋊C8×C151—22no—
131C22⋊C8×C151D411yescharacteristic
132C22⋊C8×C151D411yescharacteristic
133C22⋊C8×C151D412yes—
134C24×C151—21no—
135C24×C151—21no—
136C24×C151#4111yescharacteristic
137#41×C151—22no—
138#41×C151—22no—
139#41×C151—22no—
140#41×C151—22no—
141#41×C151—22no—
142#41×C151—44no—
143#41×C151—41no—
144#41×C151—41no—
145#41×C151—44no—
146#41×C151C2×D414yes—
147C2×Q8×C151—21no—
148C2×Q8×C151—22no—
149C2×Q8×C151—24no—
150C2×Q8×C151—24no—
151C2×Q8×C151—22no—
152C2×Q8×C151—22no—
153C2×Q8×C151—22no—
154C2×Q8×C151—22no—
155C2×Q8×C151—22no—
156C2×Q8×C151—44no—
157C2×Q8×C151—41no—
158C2×Q8×C151—44no—
159C2×Q8×C151—44no—
160C2×Q8×C151—42no—
161C2×Q8×C151—42no—
162C2×Q8×C151—41no—
163C2×Q8×C151—41no—
164C2×Q8×C151C2×D414yes—
165C2×Q8×C151C2×D411yescharacteristic
166C2×Q8×C151C2×D411yescharacteristic
167C2×D4×C151—21no—
168C2×D4×C151—22no—
169C2×D4×C151—21no—
170C2×D4×C151—21no—
171C2×D4×C151—21no—
172C2×D4×C151—21no—
173C2×D4×C151—22no—
174C2×D4×C151—21no—
175C2×D4×C151—21no—
176C2×D4×C151—22no—
177C2×D4×C151—41no—
178C2×D4×C151—44no—
179C2×D4×C151—41no—
180C2×D4×C151—41no—
181C2×D4×C151—82no—
182C2×D4×C151C2×D411yescharacteristic
183C2×D4×C151C2×D411yescharacteristic
184C22×C4×C151—21no—
185C22×C4×C151—22no—
186C22×C4×C151—22no—
187C22×C4×C151—21no—
188C22×C4×C151—22no—
189C22×C4×C151—21no—
190C22×C4×C151—21no—
191C22×C4×C151—21no—
192C22×C4×C151—21no—
193C22×C4×C151—44no—
194C22×C4×C151—44no—
195C22×C4×C151—41no—
196C22×C4×C151—41no—
197C22×C4×C151C2×D411yescharacteristic
198C22×C4×C151C2×D411yescharacteristic
199C22×C4×C151C2×D411yescharacteristic
200C22×C4×C151C2×D411yescharacteristic
201C22×C4×C151#4111yescharacteristic
202C22×C4×C151C2411yescharacteristic
203Q16×C151—28no—
204Q16×C151—28no—
205SD16×C151—28no—
206SD16×C151—28no—
207SD16×C151—44no—
208SD16×C151—44no—
209SD16×C151—42no—
210SD16×C151—42no—
211D8×C151—42no—
212D8×C151—42no—
213M16×C151—24no—
214M16×C151—22no—
215M16×C151—22no—
216M16×C151—22no—
217M16×C151—22no—
218M16×C151—22no—
219M16×C151—44no—
220M16×C151C2×D414yes—
221C2×C8×C151—24no—
222C2×C8×C151—22no—
223C2×C8×C151—22no—
224C2×C8×C151—22no—
225C2×C8×C151—22no—
226C2×C8×C151—21no—
227C2×C8×C151—21no—
228C2×C8×C151—44no—
229C2×C8×C151C2×D412yes—
230C2×C8×C151C2×D412yes—
231C4⋊C4×C151—21no—
232C4⋊C4×C151—21no—
233C22⋊C4×C151—41no—
234C22⋊C4×C151—41no—
235C23×C151—21no—
236C23×C151—22no—
237C23×C151—22no—
238C23×C151—21no—
239C23×C151—41no—
240C23×C151—42no—
241C23×C151—42no—
242C23×C151—41no—
243C23×C151—42no—
244C23×C151—81no—
245C23×C151—81no—
246C23×C151—81no—
247C23×C151#12111yescharacteristic
248C23×C151#12111yescharacteristic
249C23×C151C2×#4111yescharacteristic
250Q8×C151—21no—
251Q8×C151—24no—
252Q8×C151—21no—
253Q8×C151—21no—
254Q8×C151—24no—
255Q8×C151—42no—
256Q8×C151—44no—
257Q8×C151—44no—
258Q8×C151—42no—
259Q8×C151—42no—
260Q8×C151#12012yes—
261D4×C151—24no—
262D4×C151—21no—
263D4×C151—21no—
264D4×C151—21no—
265D4×C151—42no—
266D4×C151—42no—
267D4×C151—42no—
268D4×C151—42no—
269D4×C151—41no—
270D4×C151—41no—
271D4×C151—42no—
272D4×C151—82no—
273D4×C151—82no—
274D4×C151#12012yes—
275C2×C4×C151—21no—
276C2×C4×C151—22no—
277C2×C4×C151—21no—
278C2×C4×C151—21no—
279C2×C4×C151—21no—
280C2×C4×C151—21no—
281C2×C4×C151—22no—
282C2×C4×C151—22no—
283C2×C4×C151—24no—
284C2×C4×C151—21no—
285C2×C4×C151—24no—
286C2×C4×C151—42no—
287C2×C4×C151—42no—
288C2×C4×C151—42no—
289C2×C4×C151—44no—
290C2×C4×C151—44no—
291C2×C4×C151—42no—
292C2×C4×C151—42no—
293C2×C4×C151—42no—
294C2×C4×C151—41no—
295C2×C4×C151—81no—
296C2×C4×C151#12111yescharacteristic
297C2×C4×C151#12111yescharacteristic
298C2×C4×C151C22×D411yescharacteristic
299C2×C4×C151C22×D412yes—
300C2×C4×C151C22×D411yescharacteristic
301C2×C4×C151H(5,𝔽2)12yes—
302C8×C151—24no—
303C8×C151—22no—
304C8×C151—22no—
305C8×C151—41no—
306C8×C151—41no—
307C8×C151—42no—
308C22×C151—21no—
309C22×C151—21no—
310C22×C151—21no—
311C22×C151—21no—
312C22×C151—21no—
313C22×C151—22no—
314C22×C151—21no—
315C22×C151—21no—
316C22×C151—44no—
317C22×C151—41no—
318C22×C151—41no—
319C22×C151—41no—
320C22×C151—41no—
321C22×C151—41no—
322C22×C151—84no—
323C22×C151—81no—
324C22×C151—81no—
325C22×C151—81no—
326C22×C151—162no—
327C22×C151#47112yescomplemented
328C22×C151C2×#12111yescharacteristic
329C22×C151#54612yes—
330C4×C151—21no—
331C4×C151—21no—
332C4×C151—22no—
333C4×C151—41no—
334C4×C151—44no—
335C4×C151—81no—
336C4×C151C2×#12011yescharacteristic
337C4×C151#53411yescharacteristic
338C4×C151D4212yes—
339C2×C151—22no—
340C2×C151—22no—
341C2×C151—41no—
342C2×C151—42no—
343C2×C151—81no—
344C2×C151—161no—
345C2×C151#241011yescharacteristic
346C2×C151C2×#47111yescharacteristic
347C2×C151#306911yescharacteristic
348#24401C15111yesmaximal, characteristic, direct product factor, Sylow
349C151#2440111yescharacteristic, direct product factor, Sylow
350C22×#137C2×C15111yescharacteristic, complemented
351C2×#471C2×C15112yescomplemented
352#3006C2×C15111yescharacteristic
353C2×#448C2×C15111yescharacteristic, complemented
354#2880C2×C15111yescharacteristic, complemented
355#2052C2×C15112yescomplemented
356#2019C2×C15112yescomplemented
357#1908C2×C15112yescomplemented
358#1900C2×C15111yescharacteristic, complemented
359#1855C2×C15111yescharacteristic, complemented
360#1784C2×C15111yescharacteristic, complemented
361C22×#41C22×C15111yescharacteristic
362C23×Q8C22×C15111yescharacteristic
363C2×#137—21no—
364C2×#137—21no—
365C2×#137—28no—
366C2×#137C22×C15112yes—
367C2×#137C22×C15112yes—
368C2×AGL(1,ℤ/8)C22×C15111yescharacteristic
369C2×AGL(1,ℤ/8)C22×C15111yescharacteristic
370C22×Q16—21no—
371C22×SD16—21no—
372C22×SD16C22×C15112yescomplemented
373C2×#131C22×C15112yes—
374C22×M16C22×C15111yescharacteristic
375C2×#121C22×C15111yescharacteristic
376#471—28no—
377#449—21no—
378#449—21no—
379#448—21no—
380#448—21no—
381#448—21no—
382#448—22no—
383#447—21no—
384C2×#108C22×C15112yescomplemented
385#417C22×C15111yescharacteristic
386#417C22×C15111yescharacteristic
387C2×#103C22×C15112yescomplemented
388C2×#101C22×C15112yescomplemented
389C2×#101C22×C15112yescomplemented
390C2×#100C22×C15112yescomplemented
391#408—22no—
392#408C22×C15112yes—
393#407—21no—
394#407C22×C15111yescharacteristic
395#407C22×C15111yescharacteristic
396C2×C22⋊C8—21no—
397C2×C22⋊C8C22×C15111yescharacteristic
398#343C22×C15112yescomplemented
399#341C22×C15112yescomplemented
400C2×#41—21no—
401C2×#41—21no—
402C2×#41—24no—
403C2×#41—42no—
404C2×#41D4×C15111yescharacteristic
405C2×#41D4×C15111yescharacteristic
406C2×#41C23×C15111yescharacteristic
407C2×#41C23×C15111yescharacteristic
408C22×Q8—21no—
409C22×Q8—24no—
410C22×Q8—21no—
411C22×Q8—21no—
412C22×Q8—21no—
413C22×Q8—21no—
414C22×Q8—42no—
415C22×Q8D4×C15111yescharacteristic
416C22×Q8C23×C15112yes—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4D4×C15111yescharacteristic
420C22×D4C23×C15111yescharacteristic
421C23×C4—21no—
422C23×C4—21no—
423C23×C4C23×C15111yescharacteristic
424#137—28no—
425#137—28no—
426#137—24no—
427#137—24no—
428#137—24no—
429#137D4×C15118yescomplemented
430AGL(1,ℤ/8)—24no—
431AGL(1,ℤ/8)—42no—
432C2×Q16—28no—
433C2×Q16—22no—
434C2×Q16—22no—
435C2×SD16—28no—
436C2×SD16—22no—
437C2×SD16—22no—
438C2×SD16—24no—
439C2×SD16—21no—
440C2×SD16—21no—
441C2×SD16—22no—
442C2×SD16—22no—
443C2×SD16—42no—
444C2×D8—21no—
445C2×D8—21no—
446#131—24no—
447#131—42no—
448C2×M16—21no—
449C2×M16—24no—
450C2×M16—22no—
451C2×M16C23×C15112yes—
452C2×M16C23×C15111yescharacteristic
453C2×M16C23×C15111yescharacteristic
454C2×M16C23×C15112yes—
455C22×C8—21no—
456C22×C8—22no—
457C22×C8C23×C15112yes—
458#121—21no—
459#121—21no—
460#121—21no—
461#121—21no—
462C2×C4⋊C4C23×C15111yescharacteristic
463C2×C22⋊C4—21no—
464#108—24no—
465#103—21no—
466#103—21no—
467#103—22no—
468#103—22no—
469#102—21no—
470#102—21no—
471#101—24no—
472#101—42no—
473#100—24no—
474C22⋊C8—21no—
475C22⋊C8—21no—
476C22⋊C8—21no—
477C22⋊C8—21no—
478C22⋊C8—22no—
479C22⋊C8—22no—
480C22⋊C8D4×C15111yescharacteristic
481C22⋊C8D4×C15111yescharacteristic
482C22⋊C8D4×C15112yes—
483C24—21no—
484C24—21no—
485C24#41×C15111yescharacteristic
486#41—22no—
487#41—22no—
488#41—22no—
489#41—22no—
490#41—22no—
491#41—44no—
492#41—41no—
493#41—41no—
494#41—44no—
495#41C2×D4×C15114yes—
496C2×Q8—21no—
497C2×Q8—22no—
498C2×Q8—24no—
499C2×Q8—24no—
500C2×Q8—22no—
501C2×Q8—22no—
502C2×Q8—22no—
503C2×Q8—22no—
504C2×Q8—22no—
505C2×Q8—44no—
506C2×Q8—41no—
507C2×Q8—44no—
508C2×Q8—44no—
509C2×Q8—42no—
510C2×Q8—42no—
511C2×Q8—41no—
512C2×Q8—41no—
513C2×Q8C2×D4×C15114yes—
514C2×Q8C2×D4×C15111yescharacteristic
515C2×Q8C2×D4×C15111yescharacteristic
516C2×D4—21no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—22no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—22no—
526C2×D4—41no—
527C2×D4—44no—
528C2×D4—41no—
529C2×D4—41no—
530C2×D4—82no—
531C2×D4C2×D4×C15111yescharacteristic
532C2×D4C2×D4×C15111yescharacteristic
533C22×C4—21no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—21no—
537C22×C4—22no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—44no—
543C22×C4—44no—
544C22×C4—41no—
545C22×C4—41no—
546C22×C4C2×D4×C15111yescharacteristic
547C22×C4C2×D4×C15111yescharacteristic
548C22×C4C2×D4×C15111yescharacteristic
549C22×C4C2×D4×C15111yescharacteristic
550C22×C4#41×C15111yescharacteristic
551C22×C4C24×C15111yescharacteristic
552Q16—28no—
553Q16—28no—
554SD16—28no—
555SD16—28no—
556SD16—44no—
557SD16—44no—
558SD16—42no—
559SD16—42no—
560D8—42no—
561D8—42no—
562M16—24no—
563M16—22no—
564M16—22no—
565M16—22no—
566M16—22no—
567M16—22no—
568M16—44no—
569M16C2×D4×C15114yes—
570C2×C8—24no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—22no—
574C2×C8—22no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—44no—
578C2×C8C2×D4×C15112yes—
579C2×C8C2×D4×C15112yes—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C22⋊C4—41no—
583C22⋊C4—41no—
584C23—22no—
585C23—21no—
586C23—22no—
587C23—21no—
588C23—41no—
589C23—42no—
590C23—42no—
591C23—41no—
592C23—42no—
593C23—81no—
594C23—81no—
595C23—81no—
596C23#121×C15111yescharacteristic
597C23#121×C15111yescharacteristic
598C23C2×#41×C15111yescharacteristic
599Q8—21no—
600Q8—24no—
601Q8—21no—
602Q8—21no—
603Q8—24no—
604Q8—42no—
605Q8—44no—
606Q8—44no—
607Q8—42no—
608Q8—42no—
609Q8#120×C15112yes—
610D4—24no—
611D4—21no—
612D4—21no—
613D4—21no—
614D4—42no—
615D4—42no—
616D4—42no—
617D4—42no—
618D4—41no—
619D4—41no—
620D4—42no—
621D4—82no—
622D4—82no—
623D4#120×C15112yes—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—24no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—44no—
639C2×C4—44no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—41no—
644C2×C4—81no—
645C2×C4#121×C15111yescharacteristic
646C2×C4#121×C15111yescharacteristic
647C2×C4C22×D4×C15111yescharacteristic
648C2×C4C22×D4×C15112yes—
649C2×C4C22×D4×C15111yescharacteristic
650C2×C4H(5,𝔽2)×C15112yes—
651C8—24no—
652C8—22no—
653C8—22no—
654C8—41no—
655C8—41no—
656C8—42no—
657C22—21no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—22no—
663C22—21no—
664C22—21no—
665C22—44no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—84no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22—162no—
676C22#471×C15112yescomplemented
677C22C2×#121×C15111yescharacteristic
678C22#546×C15112yes—
679C4—21no—
680C4—21no—
681C4—22no—
682C4—41no—
683C4—44no—
684C4—81no—
685C4C2×#120×C15111yescharacteristic
686C4#534×C15111yescharacteristic
687C4D42×C15112yes—
688C2—22no—
689C2—22no—
690C2—41no—
691C2—42no—
692C2—81no—
693C2—161no—
694C2#2410×C15111yescharacteristic
695C2C2×#471×C15111yescharacteristic
696C2#3069×C15111yescharacteristic
subgroupG/H
center, socleC22×C151C2×#121
commutator, Frattini, cosocleC22×C4C24×C151
prime radical#3006×C151C2
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
1. C22×#137×C151C2semidirect
2. C2×#471×C151C2semidirect
4. C2×#448×C151C2semidirect
5. #2880×C151C2semidirect
6. #2052×C151C2semidirect
7. #2019×C151C2semidirect
8. #1908×C151C2semidirect
9. #1900×C151C2semidirect
10. #1855×C151C2semidirect
11. #1784×C151C2semidirect
23. C22×SD16×C151C22semidirect
35. C2×#108×C151C22semidirect
38. C2×#103×C151C22semidirect
39. C2×#101×C151C22semidirect
40. C2×#101×C151C22semidirect
41. C2×#100×C151C22semidirect
49. #343×C151C22semidirect
50. #341×C151C22semidirect
80. #137×C151D4semidirect
327. C22×C151#471semidirect
348. #24401C151direct (N × H)
349. C151#24401direct (N × H)
350. C22×#137C2×C151semidirect
351. C2×#471C2×C151semidirect
353. C2×#448C2×C151semidirect
354. #2880C2×C151semidirect
355. #2052C2×C151semidirect
356. #2019C2×C151semidirect
357. #1908C2×C151semidirect
358. #1900C2×C151semidirect
359. #1855C2×C151semidirect
360. #1784C2×C151semidirect
372. C22×SD16C22×C151semidirect
384. C2×#108C22×C151semidirect
387. C2×#103C22×C151semidirect
388. C2×#101C22×C151semidirect
389. C2×#101C22×C151semidirect
390. C2×#100C22×C151semidirect
398. #343C22×C151semidirect
399. #341C22×C151semidirect
429. #137D4×C151semidirect
676. C22#471×C151semidirect

Maximal subgroups

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

subgroupindex
C22×#137×C1512
C2×#471×C1512
#3006×C1512
C2×#448×C1512
#2880×C1512
#2052×C1512
#2019×C1512
#1908×C1512
#1900×C1512
#1855×C1512
#1784×C1512
#24401151