Finite Group Databasebeta

← C151×#23049 #50327974

Subgroups — C151×#23049 #50327974

Order 38656.

866 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#471×C151C211yesmaximal, characteristic
2#2949×C151C211yesmaximal, characteristic, complemented
3#2947×C151C211yesmaximal, characteristic, complemented
4#2946×C151C211yesmaximal, characteristic
5#2913×C151C211yesmaximal, characteristic, complemented
6#1973×C151C211yesmaximal, characteristic, complemented
7#1952×C151C211yesmaximal, characteristic, complemented
8#1931×C151C211yesmaximal, characteristic, complemented
9#1930×C151C211yesmaximal, characteristic, complemented
10#1883×C151C211yesmaximal, characteristic
11#1882×C151C211yesmaximal, characteristic, complemented
12#1857×C151C211yesmaximal, characteristic, complemented
13#1856×C151C211yesmaximal, characteristic, complemented
14#1773×C151C211yesmaximal, characteristic, complemented
15#1765×C151C211yesmaximal, characteristic, complemented
16C2×#137×C151C2211yescharacteristic
17C2×AGL(1,ℤ/8)×C151C2211yescharacteristic
18C22×SD16×C151C2211yescharacteristic
19C2×#131×C151C2211yescharacteristic
20#520×C151C2211yescharacteristic
21#520×C151C2211yescharacteristic
22#519×C151C2211yescharacteristic
23#518×C151C2211yescharacteristic
24#471×C151C418yescomplemented
25#442×C151—21no—
26#441×C151—21no—
27#440×C151—21no—
28#440×C151—21no—
29#440×C151—21no—
30#440×C151—21no—
31C4×Q16×C151—21no—
32C4×SD16×C151—21no—
33C4×SD16×C151—21no—
34C4×SD16×C151—21no—
35C4×SD16×C151—21no—
36C4×D8×C151—21no—
37C2×#108×C151C2211yescharacteristic
38#428×C151—21no—
39#428×C151—21no—
40#428×C151C2211yescharacteristic
41#428×C151C2211yescharacteristic
42#428×C151C2211yescharacteristic
43#428×C151C2211yescharacteristic
44#427×C151—21no—
45#427×C151C2211yescharacteristic
46C2×#107×C151—21no—
47C2×#107×C151C2211yescharacteristic
48C2×#104×C151C2211yescharacteristic
49#419×C151C2211yescharacteristic
50#418×C151C2211yescharacteristic
51#416×C151C2211yescharacteristic
52C2×#103×C151C2211yescharacteristic
53C2×#102×C151C2211yescharacteristic
54C2×#101×C151C2211yescharacteristic
55C2×#100×C151C2211yescharacteristic
56#405×C151C2211yescharacteristic
57#405×C151C2211yescharacteristic
58#405×C151C2211yescharacteristic
59C2×#97×C151C2211yescharacteristic
60#391×C151C2211yescharacteristic
61#390×C151C2211yescharacteristic
62#343×C151C2211yescharacteristic
63#343×C151C2211yescharacteristic
64#341×C151C2211yescharacteristic
65#339×C151C2211yescharacteristic
66#339×C151C2211yescharacteristic
67#339×C151C2211yescharacteristic
68C2×#41×C151C2311yescharacteristic
69C22×Q8×C151C2311yescharacteristic
70C22×D4×C151C2311yescharacteristic
71#137×C151—22no—
72#137×C151C2×C414yescomplemented
73AGL(1,ℤ/8)×C151—22no—
74AGL(1,ℤ/8)×C151C2×C414yes—
75C2×Q16×C151—21no—
76C2×SD16×C151—21no—
77C2×SD16×C151—21no—
78C2×SD16×C151—21no—
79C2×SD16×C151—22no—
80C2×SD16×C151—21no—
81C2×SD16×C151C2×C414yescomplemented
82C2×D8×C151—21no—
83#131×C151—22no—
84#131×C151C2×C414yescomplemented
85C2×M16×C151—21no—
86C2×M16×C151C2311yescharacteristic
87C2×M16×C151C2311yescharacteristic
88C2×M16×C151C2311yescharacteristic
89C2×M16×C151C2311yescharacteristic
90C22×C8×C151—21no—
91C22×C8×C151C2311yescharacteristic
92C22×C8×C151C2311yescharacteristic
93C4×Q8×C151—21no—
94C4×Q8×C151—21no—
95C4×Q8×C151—21no—
96C4×Q8×C151—21no—
97C4×Q8×C151—21no—
98C4×Q8×C151—21no—
99C4×D4×C151—21no—
100C4×D4×C151—21no—
101C4×D4×C151—21no—
102C4×D4×C151—21no—
103C4×D4×C151—21no—
104C4×D4×C151—21no—
105C4×D4×C151—41no—
106C4×D4×C151—41no—
107#117×C151—21no—
108#117×C151—21no—
109#117×C151—41no—
110#117×C151C2311yescharacteristic
111#117×C151C2311yescharacteristic
112#117×C151C2311yescharacteristic
113C2×C4⋊C4×C151—21no—
114C2×C4⋊C4×C151—21no—
115C2×C4⋊C4×C151C2311yescharacteristic
116C2×C4⋊C4×C151C2311yescharacteristic
117C2×C22⋊C4×C151—41no—
118C2×C22⋊C4×C151—41no—
119C2×C42×C151C2311yescharacteristic
120#108×C151C2×C414yescomplemented
121#107×C151—21no—
122#107×C151—21no—
123#107×C151—21no—
124#107×C151—21no—
125#107×C151—21no—
126#107×C151—21no—
127#107×C151D411yescharacteristic
128#107×C151D411yescharacteristic
129#106×C151—21no—
130#106×C151—21no—
131#106×C151—21no—
132#106×C151—21no—
133#106×C151D411yescharacteristic
134#106×C151D411yescharacteristic
135#104×C151—22no—
136#103×C151—21no—
137#103×C151—21no—
138#103×C151—21no—
139#103×C151—21no—
140#103×C151D411yescharacteristic
141#103×C151D411yescharacteristic
142#102×C151—21no—
143#102×C151—21no—
144#102×C151—21no—
145#102×C151—21no—
146#102×C151D411yescharacteristic
147#102×C151D411yescharacteristic
148#101×C151C2×C414yescomplemented
149#100×C151C2×C414yescomplemented
150#97×C151—21no—
151#97×C151—21no—
152#97×C151—21no—
153#97×C151—22no—
154C4×C8×C151—21no—
155C4×C8×C151—21no—
156C4×C8×C151—21no—
157#95×C151—41no—
158C24×C151—21no—
159#41×C151—21no—
160#41×C151—21no—
161#41×C151C22×C412yes—
162#41×C151#4112yes—
163C2×Q8×C151—21no—
164C2×Q8×C151—21no—
165C2×Q8×C151—21no—
166C2×Q8×C151—21no—
167C2×Q8×C151—21no—
168C2×Q8×C151C22×C412yes—
169C2×Q8×C151C2×D411yescharacteristic
170C2×D4×C151—21no—
171C2×D4×C151—21no—
172C2×D4×C151—21no—
173C2×D4×C151—21no—
174C2×D4×C151—21no—
175C2×D4×C151—21no—
176C2×D4×C151C22×C412yes—
177C2×D4×C151C2×D411yescharacteristic
178C22×C4×C151—21no—
179C22×C4×C151—21no—
180C22×C4×C151—21no—
181C22×C4×C151—21no—
182C22×C4×C151—21no—
183C22×C4×C151—41no—
184C22×C4×C151—41no—
185C22×C4×C151—41no—
186C22×C4×C151—41no—
187C22×C4×C151C2411yescharacteristic
188Q16×C151—24no—
189SD16×C151—24no—
190SD16×C151—24no—
191SD16×C151—24no—
192SD16×C151—24no—
193D8×C151—24no—
194M16×C151—21no—
195M16×C151—21no—
196M16×C151—21no—
197M16×C151—24no—
198M16×C151—21no—
199M16×C151—21no—
200M16×C151C22×C412yes—
201M16×C151C22×C412yes—
202M16×C151C22×C412yes—
203C2×C8×C151—21no—
204C2×C8×C151—21no—
205C2×C8×C151—21no—
206C2×C8×C151—21no—
207C2×C8×C151—21no—
208C2×C8×C151—24no—
209C2×C8×C151—21no—
210C2×C8×C151C22×C412yes—
211C2×C8×C151C2×D411yescharacteristic
212C2×C8×C151C2×D411yescharacteristic
213C2×C8×C151C2×D411yescharacteristic
214C2×C8×C151C2×D411yescharacteristic
215C2×C8×C151#4112yes—
216C4⋊C4×C151—21no—
217C4⋊C4×C151—21no—
218C4⋊C4×C151—21no—
219C4⋊C4×C151—21no—
220C4⋊C4×C151—41no—
221C4⋊C4×C151—41no—
222C4⋊C4×C151—41no—
223C4⋊C4×C151—41no—
224C4⋊C4×C151C2×D411yescharacteristic
225C4⋊C4×C151C2×D411yescharacteristic
226C4⋊C4×C151C2×D411yescharacteristic
227C4⋊C4×C151C2×D411yescharacteristic
228C4⋊C4×C151C2×D411yescharacteristic
229C4⋊C4×C151C2×D411yescharacteristic
230C22⋊C4×C151—21no—
231C22⋊C4×C151—21no—
232C22⋊C4×C151—21no—
233C22⋊C4×C151—41no—
234C22⋊C4×C151—41no—
235C22⋊C4×C151—41no—
236C22⋊C4×C151—41no—
237C22⋊C4×C151—82no—
238C42×C151—21no—
239C42×C151—21no—
240C42×C151—21no—
241C42×C151—21no—
242C42×C151—21no—
243C42×C151—41no—
244C42×C151—41no—
245C42×C151—41no—
246C42×C151—41no—
247C23×C151—21no—
248C23×C151—22no—
249C23×C151—41no—
250C23×C151—41no—
251C23×C151—81no—
252C23×C151—81no—
253C23×C151H(5,𝔽2)11yescharacteristic
254Q8×C151—21no—
255Q8×C151—22no—
256Q8×C151—22no—
257Q8×C151—41no—
258Q8×C151—41no—
259Q8×C151C4×D412yes—
260D4×C151—22no—
261D4×C151—22no—
262D4×C151—22no—
263D4×C151—22no—
264D4×C151—21no—
265D4×C151—41no—
266D4×C151—41no—
267D4×C151C4×D412yes—
268C2×C4×C151—21no—
269C2×C4×C151—22no—
270C2×C4×C151—22no—
271C2×C4×C151—22no—
272C2×C4×C151—21no—
273C2×C4×C151—21no—
274C2×C4×C151—21no—
275C2×C4×C151—21no—
276C2×C4×C151—21no—
277C2×C4×C151—21no—
278C2×C4×C151—41no—
279C2×C4×C151—41no—
280C2×C4×C151—41no—
281C2×C4×C151—41no—
282C2×C4×C151—41no—
283C2×C4×C151—41no—
284C2×C4×C151—41no—
285C2×C4×C151—81no—
286C2×C4×C151—81no—
287C2×C4×C151—161no—
288C2×C4×C151—161no—
289C2×C4×C151—161no—
290C2×C4×C151—161no—
291C2×C4×C151C23×C411yescharacteristic
292C2×C4×C151C22×D411yescharacteristic
293C2×C4×C151C22×D411yescharacteristic
294C2×C4×C151C2×#4111yescharacteristic
295C2×C4×C151C2×#4111yescharacteristic
296C2×C4×C1512−1+411yescharacteristic
297C8×C151—22no—
298C8×C151—22no—
299C8×C151—22no—
300C8×C151—21no—
301C8×C151—21no—
302C8×C151—41no—
303C8×C151C4×D412yes—
304C8×C151C4×D412yes—
305C22×C151—21no—
306C22×C151—21no—
307C22×C151—22no—
308C22×C151—41no—
309C22×C151—41no—
310C22×C151—42no—
311C22×C151—82no—
312C22×C151—81no—
313C22×C151—81no—
314C22×C151—161no—
315C22×C151#52011yescharacteristic
316C22×C151D4211yescharacteristic
317C22×C151#55311yescharacteristic
318C4×C151—22no—
319C4×C151—42no—
320C4×C151—41no—
321C4×C151—41no—
322C4×C151—41no—
323C4×C151—41no—
324C4×C151—41no—
325C4×C151—41no—
326C4×C151—81no—
327C4×C151—81no—
328C4×C151—81no—
329C4×C151C2×C4×D411yescharacteristic
330C4×C151C2×C4×D411yescharacteristic
331C4×C151#54711yescharacteristic
332C4×C151#54811yescharacteristic
333C2×C151—21no—
334C2×C151—21no—
335C2×C151—42no—
336C2×C151—82no—
337C2×C151#236111yescharacteristic
338C2×C151#328811yescharacteristic
339C2×C151#328911yescharacteristic
340#23049C15111yesmaximal, characteristic, direct product factor, Sylow
341C151#2304911yescharacteristic, direct product factor, Sylow
342C2×#471C2×C15111yescharacteristic
343#2949C2×C15111yescharacteristic, complemented
344#2947C2×C15111yescharacteristic, complemented
345#2946C2×C15111yescharacteristic
346#2913C2×C15111yescharacteristic, complemented
347#1973C2×C15111yescharacteristic, complemented
348#1952C2×C15111yescharacteristic, complemented
349#1931C2×C15111yescharacteristic, complemented
350#1930C2×C15111yescharacteristic, complemented
351#1883C2×C15111yescharacteristic
352#1882C2×C15111yescharacteristic, complemented
353#1857C2×C15111yescharacteristic, complemented
354#1856C2×C15111yescharacteristic, complemented
355#1773C2×C15111yescharacteristic, complemented
356#1765C2×C15111yescharacteristic, complemented
357C2×#137C22×C15111yescharacteristic
358C2×AGL(1,ℤ/8)C22×C15111yescharacteristic
359C22×SD16C22×C15111yescharacteristic
360C2×#131C22×C15111yescharacteristic
361#520C22×C15111yescharacteristic
362#520C22×C15111yescharacteristic
363#519C22×C15111yescharacteristic
364#518C22×C15111yescharacteristic
365#471C4×C15118yescomplemented
366#442—21no—
367#441—21no—
368#440—21no—
369#440—21no—
370#440—21no—
371#440—21no—
372C4×Q16—21no—
373C4×SD16—21no—
374C4×SD16—21no—
375C4×SD16—21no—
376C4×SD16—21no—
377C4×D8—21no—
378C2×#108C22×C15111yescharacteristic
379#428—21no—
380#428—21no—
381#428C22×C15111yescharacteristic
382#428C22×C15111yescharacteristic
383#428C22×C15111yescharacteristic
384#428C22×C15111yescharacteristic
385#427—21no—
386#427C22×C15111yescharacteristic
387C2×#107—21no—
388C2×#107C22×C15111yescharacteristic
389C2×#104C22×C15111yescharacteristic
390#419C22×C15111yescharacteristic
391#418C22×C15111yescharacteristic
392#416C22×C15111yescharacteristic
393C2×#103C22×C15111yescharacteristic
394C2×#102C22×C15111yescharacteristic
395C2×#101C22×C15111yescharacteristic
396C2×#100C22×C15111yescharacteristic
397#405C22×C15111yescharacteristic
398#405C22×C15111yescharacteristic
399#405C22×C15111yescharacteristic
400C2×#97C22×C15111yescharacteristic
401#391C22×C15111yescharacteristic
402#390C22×C15111yescharacteristic
403#343C22×C15111yescharacteristic
404#343C22×C15111yescharacteristic
405#341C22×C15111yescharacteristic
406#339C22×C15111yescharacteristic
407#339C22×C15111yescharacteristic
408#339C22×C15111yescharacteristic
409C2×#41C23×C15111yescharacteristic
410C22×Q8C23×C15111yescharacteristic
411C22×D4C23×C15111yescharacteristic
412#137—22no—
413#137C2×C4×C15114yescomplemented
414AGL(1,ℤ/8)—22no—
415AGL(1,ℤ/8)C2×C4×C15114yes—
416C2×Q16—21no—
417C2×SD16—21no—
418C2×SD16—21no—
419C2×SD16—22no—
420C2×SD16—21no—
421C2×SD16—21no—
422C2×SD16C2×C4×C15114yescomplemented
423C2×D8—21no—
424#131—22no—
425#131C2×C4×C15114yescomplemented
426C2×M16—21no—
427C2×M16C23×C15111yescharacteristic
428C2×M16C23×C15111yescharacteristic
429C2×M16C23×C15111yescharacteristic
430C2×M16C23×C15111yescharacteristic
431C22×C8—21no—
432C22×C8C23×C15111yescharacteristic
433C22×C8C23×C15111yescharacteristic
434C4×Q8—21no—
435C4×Q8—21no—
436C4×Q8—21no—
437C4×Q8—21no—
438C4×Q8—21no—
439C4×Q8—21no—
440C4×D4—21no—
441C4×D4—21no—
442C4×D4—21no—
443C4×D4—21no—
444C4×D4—21no—
445C4×D4—21no—
446C4×D4—41no—
447C4×D4—41no—
448#117—21no—
449#117—21no—
450#117—41no—
451#117C23×C15111yescharacteristic
452#117C23×C15111yescharacteristic
453#117C23×C15111yescharacteristic
454C2×C4⋊C4—21no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4C23×C15111yescharacteristic
457C2×C4⋊C4C23×C15111yescharacteristic
458C2×C22⋊C4—41no—
459C2×C22⋊C4—41no—
460C2×C42C23×C15111yescharacteristic
461#108C2×C4×C15114yescomplemented
462#107—21no—
463#107—21no—
464#107—21no—
465#107—21no—
466#107—21no—
467#107—21no—
468#107D4×C15111yescharacteristic
469#107D4×C15111yescharacteristic
470#106—21no—
471#106—21no—
472#106—21no—
473#106—21no—
474#106D4×C15111yescharacteristic
475#106D4×C15111yescharacteristic
476#104—22no—
477#103—21no—
478#103—21no—
479#103—21no—
480#103—21no—
481#103D4×C15111yescharacteristic
482#103D4×C15111yescharacteristic
483#102—21no—
484#102—21no—
485#102—21no—
486#102—21no—
487#102D4×C15111yescharacteristic
488#102D4×C15111yescharacteristic
489#101C2×C4×C15114yescomplemented
490#100C2×C4×C15114yescomplemented
491#97—22no—
492#97—21no—
493#97—21no—
494#97—21no—
495C4×C8—21no—
496C4×C8—21no—
497C4×C8—21no—
498#95—41no—
499C24—21no—
500#41—21no—
501#41—21no—
502#41C22×C4×C15112yes—
503#41#41×C15112yes—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8C22×C4×C15112yes—
510C2×Q8C2×D4×C15111yescharacteristic
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4C22×C4×C15112yes—
518C2×D4C2×D4×C15111yescharacteristic
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—41no—
525C22×C4—41no—
526C22×C4—41no—
527C22×C4—41no—
528C22×C4C24×C15111yescharacteristic
529Q16—24no—
530SD16—24no—
531SD16—24no—
532SD16—24no—
533SD16—24no—
534D8—24no—
535M16—21no—
536M16—21no—
537M16—21no—
538M16—24no—
539M16—21no—
540M16—21no—
541M16C22×C4×C15112yes—
542M16C22×C4×C15112yes—
543M16C22×C4×C15112yes—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—24no—
550C2×C8—21no—
551C2×C8C22×C4×C15112yes—
552C2×C8C2×D4×C15111yescharacteristic
553C2×C8C2×D4×C15111yescharacteristic
554C2×C8C2×D4×C15111yescharacteristic
555C2×C8C2×D4×C15111yescharacteristic
556C2×C8#41×C15112yes—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—41no—
562C4⋊C4—41no—
563C4⋊C4—41no—
564C4⋊C4—41no—
565C4⋊C4C2×D4×C15111yescharacteristic
566C4⋊C4C2×D4×C15111yescharacteristic
567C4⋊C4C2×D4×C15111yescharacteristic
568C4⋊C4C2×D4×C15111yescharacteristic
569C4⋊C4C2×D4×C15111yescharacteristic
570C4⋊C4C2×D4×C15111yescharacteristic
571C22⋊C4—21no—
572C22⋊C4—21no—
573C22⋊C4—21no—
574C22⋊C4—41no—
575C22⋊C4—41no—
576C22⋊C4—41no—
577C22⋊C4—41no—
578C22⋊C4—82no—
579C42—21no—
580C42—21no—
581C42—21no—
582C42—21no—
583C42—21no—
584C42—41no—
585C42—41no—
586C42—41no—
587C42—41no—
588C23—21no—
589C23—22no—
590C23—41no—
591C23—41no—
592C23—81no—
593C23—81no—
594C23H(5,𝔽2)×C15111yescharacteristic
595Q8—21no—
596Q8—22no—
597Q8—22no—
598Q8—41no—
599Q8—41no—
600Q8C4×D4×C15112yes—
601D4—22no—
602D4—22no—
603D4—22no—
604D4—22no—
605D4—21no—
606D4—41no—
607D4—41no—
608D4C4×D4×C15112yes—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—81no—
627C2×C4—81no—
628C2×C4—161no—
629C2×C4—161no—
630C2×C4—161no—
631C2×C4—161no—
632C2×C4C23×C4×C15111yescharacteristic
633C2×C4C22×D4×C15111yescharacteristic
634C2×C4C22×D4×C15111yescharacteristic
635C2×C4C2×#41×C15111yescharacteristic
636C2×C4C2×#41×C15111yescharacteristic
637C2×C42−1+4×C15111yescharacteristic
638C8—22no—
639C8—22no—
640C8—22no—
641C8—21no—
642C8—21no—
643C8—41no—
644C8C4×D4×C15112yes—
645C8C4×D4×C15112yes—
646C22—21no—
647C22—21no—
648C22—22no—
649C22—41no—
650C22—41no—
651C22—42no—
652C22—82no—
653C22—81no—
654C22—81no—
655C22—161no—
656C22#520×C15111yescharacteristic
657C22D42×C15111yescharacteristic
658C22#553×C15111yescharacteristic
659C4—22no—
660C4—42no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—41no—
667C4—81no—
668C4—81no—
669C4—81no—
670C4C2×C4×D4×C15111yescharacteristic
671C4C2×C4×D4×C15111yescharacteristic
672C4#547×C15111yescharacteristic
673C4#548×C15111yescharacteristic
674C2—21no—
675C2—21no—
676C2—42no—
677C2—82no—
678C2#2361×C15111yescharacteristic
679C2#3288×C15111yescharacteristic
680C2#3289×C15111yescharacteristic
subgroupG/H
center, socleC22×C151D42
commutatorC2×C4C23×C4×C151
Frattini, cosocleC22×C4C24×C151
prime radicalC2×AGL(1,ℤ/8)×C151C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C151 ◁ C22×C4×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. #2949×C151C2semidirect
3. #2947×C151C2semidirect
5. #2913×C151C2semidirect
6. #1973×C151C2semidirect
7. #1952×C151C2semidirect
8. #1931×C151C2semidirect
9. #1930×C151C2semidirect
11. #1882×C151C2semidirect
12. #1857×C151C2semidirect
13. #1856×C151C2semidirect
14. #1773×C151C2semidirect
15. #1765×C151C2semidirect
24. #471×C151C4semidirect
72. #137×C151C2×C4semidirect
81. C2×SD16×C151C2×C4semidirect
84. #131×C151C2×C4semidirect
120. #108×C151C2×C4semidirect
148. #101×C151C2×C4semidirect
149. #100×C151C2×C4semidirect
340. #23049C151direct (N × H)
341. C151#23049direct (N × H)
343. #2949C2×C151semidirect
344. #2947C2×C151semidirect
346. #2913C2×C151semidirect
347. #1973C2×C151semidirect
348. #1952C2×C151semidirect
349. #1931C2×C151semidirect
350. #1930C2×C151semidirect
352. #1882C2×C151semidirect
353. #1857C2×C151semidirect
354. #1856C2×C151semidirect
355. #1773C2×C151semidirect
356. #1765C2×C151semidirect
365. #471C4×C151semidirect
413. #137C2×C4×C151semidirect
422. C2×SD16C2×C4×C151semidirect
425. #131C2×C4×C151semidirect
461. #108C2×C4×C151semidirect
489. #101C2×C4×C151semidirect
490. #100C2×C4×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#471×C1512
#2949×C1512
#2947×C1512
#2946×C1512
#2913×C1512
#1973×C1512
#1952×C1512
#1931×C1512
#1930×C1512
#1883×C1512
#1882×C1512
#1857×C1512
#1856×C1512
#1773×C1512
#1765×C1512
#23049151