Finite Group Databasebeta

← C151×#17920 #50322845

Subgroups — C151×#17920 #50322845

Order 38656.

638 conjugacy classes of subgroups.

The subgroup lattice has 604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3106×C151C211yesmaximal, characteristic
2#2988×C151C211yesmaximal, characteristic, complemented
3#2981×C151C211yesmaximal, characteristic, complemented
4#1588×C151C211yesmaximal, characteristic, complemented
5#1586×C151C211yesmaximal, characteristic, complemented
6#1583×C151C211yesmaximal, characteristic, complemented
7#1581×C151C211yesmaximal, characteristic, complemented
8#1580×C151C211yesmaximal, characteristic, complemented
9SD16⋊C8×C151C211yesmaximal, characteristic, complemented
10C8×SD16×C151C211yesmaximal, characteristic, complemented
11C8×D8×C151C211yesmaximal, characteristic, complemented
12#1573×C151C211yesmaximal, characteristic, complemented
13#1488×C151C211yesmaximal, characteristic, complemented
14#1480×C151C211yesmaximal, characteristic, complemented
15#1454×C151C211yesmaximal, characteristic, complemented
16#532×C151C2211yescharacteristic
17C4×#41×C151C2211yescharacteristic
18#482×C151C411yescharacteristic
19#482×C151C411yescharacteristic
20#477×C151C411yescharacteristic
21#476×C151C411yescharacteristic
22#460×C151C411yescharacteristic
23#459×C151C411yescharacteristic
24#449×C151C411yescharacteristic
25#449×C151C411yescharacteristic
26C8×Q8×C151C2211yescharacteristic
27C8×Q8×C151C2211yescharacteristic
28C4×SD16×C151C2211yescharacteristic
29C4×SD16×C151C2211yescharacteristic
30C4×D8×C151C2211yescharacteristic
31C4×D8×C151C2211yescharacteristic
32#436×C151C2211yescharacteristic
33#436×C151C2211yescharacteristic
34#435×C151—21no—
35#435×C151—21no—
36C8×D4×C151—21no—
37C8×D4×C151—21no—
38C8×D4×C151C2211yescharacteristic
39C8×D4×C151C2211yescharacteristic
40C8×D4×C151C2211yescharacteristic
41C8×D4×C151C2211yescharacteristic
42#432×C151C2211yescharacteristic
43#431×C151—21no—
44#431×C151C2211yescharacteristic
45#431×C151C2211yescharacteristic
46#431×C151C2211yescharacteristic
47C2×C4⋊C8×C151—21no—
48C2×C4⋊C8×C151C2211yescharacteristic
49#408×C151—21no—
50#408×C151—21no—
51#335×C151C2211yescharacteristic
52#335×C151C2211yescharacteristic
53#334×C151C2211yescharacteristic
54#334×C151C2211yescharacteristic
55Q8⋊C8×C151C2211yescharacteristic
56Q8⋊C8×C151C2211yescharacteristic
57D4⋊C8×C151C2211yescharacteristic
58D4⋊C8×C151C2211yescharacteristic
59D4⋊C8×C151C2211yescharacteristic
60D4⋊C8×C151C2211yescharacteristic
61D4⋊C8×C151C2211yescharacteristic
62D4⋊C8×C151C2211yescharacteristic
63#322×C151C2211yescharacteristic
64#322×C151C2211yescharacteristic
65#322×C151C2211yescharacteristic
66C82×C151C2211yescharacteristic
67C2×#41×C151—21no—
68C2×#41×C151C2×C411yescharacteristic
69C2×SD16×C151C2×C411yescharacteristic
70C2×SD16×C151C2×C411yescharacteristic
71C2×D8×C151C2×C411yescharacteristic
72C2×D8×C151C2×C411yescharacteristic
73C2×M16×C151—21no—
74C2×M16×C151—21no—
75C22×C8×C151—21no—
76C22×C8×C151—21no—
77C22×C8×C151—21no—
78C22×C8×C151—21no—
79C22×C8×C151—21no—
80C4⋊Q8×C151C2×C411yescharacteristic
81#127×C151C2×C411yescharacteristic
82#124×C151—21no—
83#121×C151—21no—
84#121×C151C2×C411yescharacteristic
85#121×C151C2×C411yescharacteristic
86C4×Q8×C151C2×C411yescharacteristic
87C4×Q8×C151C2311yescharacteristic
88C4×D4×C151—21no—
89C4×D4×C151—21no—
90C4×D4×C151—21no—
91C4×D4×C151C2×C411yescharacteristic
92C4×D4×C151C2311yescharacteristic
93C4×D4×C151C2311yescharacteristic
94C4×D4×C151C2311yescharacteristic
95#117×C151—21no—
96#117×C151C2×C411yescharacteristic
97C2×C42×C151—21no—
98C2×C42×C151C2311yescharacteristic
99#107×C151C2×C411yescharacteristic
100#107×C151C2×C411yescharacteristic
101#106×C151C2×C411yescharacteristic
102#106×C151C2×C411yescharacteristic
103C4⋊C8×C151—21no—
104C4⋊C8×C151—21no—
105C4⋊C8×C151—21no—
106C4⋊C8×C151—21no—
107C4⋊C8×C151C2×C411yescharacteristic
108C4⋊C8×C151C2×C411yescharacteristic
109C4⋊C8×C151D411yescharacteristic
110C4⋊C8×C151D411yescharacteristic
111C4⋊C8×C151C2311yescharacteristic
112C4⋊C8×C151C2311yescharacteristic
113C4⋊C8×C151C2311yescharacteristic
114C4⋊C8×C151C2311yescharacteristic
115#103×C151C2×C411yescharacteristic
116#103×C151C2×C411yescharacteristic
117#102×C151C2×C411yescharacteristic
118#102×C151C2×C411yescharacteristic
119#102×C151C2×C411yescharacteristic
120#102×C151C2×C411yescharacteristic
121#102×C151C2×C411yescharacteristic
122#102×C151C2×C411yescharacteristic
123C22⋊C8×C151—21no—
124C22⋊C8×C151—21no—
125C22⋊C8×C151—21no—
126C22⋊C8×C151—21no—
127C22⋊C8×C151—21no—
128C22⋊C8×C151—21no—
129C22⋊C8×C151—21no—
130C22⋊C8×C151—21no—
131C22⋊C8×C151C2×C411yescharacteristic
132C22⋊C8×C151C2×C411yescharacteristic
133C22⋊C8×C151D411yescharacteristic
134C22⋊C8×C151D411yescharacteristic
135#97×C151—21no—
136C4×C8×C151—21no—
137C4×C8×C151—21no—
138C4×C8×C151C2311yescharacteristic
139C4×C8×C151C2311yescharacteristic
140C4×C8×C151C2311yescharacteristic
141C4×C8×C151C2311yescharacteristic
142C4×C8×C151C2311yescharacteristic
143C4×C8×C151C2311yescharacteristic
144#41×C151—22no—
145#41×C151—22no—
146#41×C151—81no—
147#41×C151—81no—
148C2×Q8×C151—21no—
149C2×Q8×C151C22×C411yescharacteristic
150C2×D4×C151—21no—
151C2×D4×C151—21no—
152C2×D4×C151—21no—
153C2×D4×C151—21no—
154C2×D4×C151—21no—
155C2×D4×C151C22×C411yescharacteristic
156C2×D4×C151C22×C411yescharacteristic
157C2×D4×C151C22×C411yescharacteristic
158C22×C4×C151—21no—
159C22×C4×C151—21no—
160C22×C4×C151—21no—
161C22×C4×C151—21no—
162C22×C4×C151—21no—
163C22×C4×C151C22×C411yescharacteristic
164C22×C4×C151C2×D411yescharacteristic
165C22×C4×C151#4111yescharacteristic
166SD16×C151—22no—
167SD16×C151—22no—
168D8×C151—22no—
169D8×C151—22no—
170M16×C151—81no—
171M16×C151—81no—
172C2×C8×C151—21no—
173C2×C8×C151—21no—
174C2×C8×C151—21no—
175C2×C8×C151—21no—
176C2×C8×C151—21no—
177C2×C8×C151—21no—
178C2×C8×C151—81no—
179C2×C8×C151—81no—
180C2×C8×C151—81no—
181C2×C8×C151—81no—
182C2×C8×C151—81no—
183C2×C8×C151C22×C411yescharacteristic
184C2×C8×C151C22×C411yescharacteristic
185C2×C8×C151C22×C411yescharacteristic
186C2×C8×C151C22×C411yescharacteristic
187C2×C8×C151C2×D411yescharacteristic
188C2×C8×C151C2×D411yescharacteristic
189C2×C8×C151C2×D411yescharacteristic
190C2×C8×C151C2×D411yescharacteristic
191C4⋊C4×C151—21no—
192C4⋊C4×C151—21no—
193C4⋊C4×C151—21no—
194C4⋊C4×C151C22×C411yescharacteristic
195C4⋊C4×C151C22×C411yescharacteristic
196C4⋊C4×C151C22×C411yescharacteristic
197C4⋊C4×C151C22×C411yescharacteristic
198C22⋊C4×C151—21no—
199C22⋊C4×C151—21no—
200C22⋊C4×C151—21no—
201C22⋊C4×C151—21no—
202C22⋊C4×C151—21no—
203C22⋊C4×C151—21no—
204C22⋊C4×C151—21no—
205C42×C151—21no—
206C42×C151—21no—
207C42×C151—21no—
208C42×C151C22×C411yescharacteristic
209C42×C151C2×D411yescharacteristic
210C42×C151#4111yescharacteristic
211C42×C151C2411yescharacteristic
212C23×C151—21no—
213C23×C151—21no—
214C23×C151—21no—
215C23×C151C4×D411yescharacteristic
216Q8×C151—21no—
217Q8×C151—81no—
218Q8×C151#13112yes—
219D4×C151—24no—
220D4×C151—21no—
221D4×C151—21no—
222D4×C151—21no—
223D4×C151—21no—
224D4×C151—21no—
225D4×C151—81no—
226D4×C151—81no—
227D4×C151—81no—
228D4×C151—81no—
229D4×C151#13112yes—
230C2×C4×C151—24no—
231C2×C4×C151—21no—
232C2×C4×C151—21no—
233C2×C4×C151—21no—
234C2×C4×C151—21no—
235C2×C4×C151—21no—
236C2×C4×C151—21no—
237C2×C4×C151—21no—
238C2×C4×C151—21no—
239C2×C4×C151—21no—
240C2×C4×C151—41no—
241C2×C4×C151—41no—
242C2×C4×C151—41no—
243C2×C4×C151—41no—
244C2×C4×C151—41no—
245C2×C4×C151—41no—
246C2×C4×C151—41no—
247C2×C4×C151—81no—
248C2×C4×C151C4×D411yescharacteristic
249C2×C4×C151C4×D411yescharacteristic
250C2×C4×C151C4×D411yescharacteristic
251C2×C4×C151C23×C411yescharacteristic
252C2×C4×C151C22×D411yescharacteristic
253C2×C4×C151C2×#4111yescharacteristic
254C8×C151—21no—
255C8×C151—21no—
256C8×C151—21no—
257C8×C151—21no—
258C8×C151—21no—
259C8×C151—21no—
260C8×C151—21no—
261C8×C151—21no—
262C8×C151—41no—
263C8×C151—41no—
264C8×C151—41no—
265C8×C151—41no—
266C8×C151—41no—
267C8×C151—41no—
268C22×C151—21no—
269C22×C151—22no—
270C22×C151—21no—
271C22×C151—21no—
272C22×C151—41no—
273C22×C151—41no—
274C22×C151—41no—
275C22×C151—41no—
276C22×C151—41no—
277C22×C151—41no—
278C22×C151—41no—
279C22×C151—41no—
280C22×C151C2×C4×D411yescharacteristic
281C4×C151—21no—
282C4×C151—22no—
283C4×C151—21no—
284C4×C151—21no—
285C4×C151—21no—
286C4×C151—41no—
287C4×C151—41no—
288C4×C151—41no—
289C4×C151—41no—
290C4×C151C2×#13111yescharacteristic
291C4×C151C2×#13111yescharacteristic
292C4×C151#57611yescharacteristic
293C4×C151#57711yescharacteristic
294C2×C151—41no—
295C2×C151—42no—
296C2×C151—81no—
297C2×C151—81no—
298C2×C151#292911yescharacteristic
299C2×C151#294611yescharacteristic
300C2×C151#295711yescharacteristic
301#17920C15111yesmaximal, characteristic, direct product factor, Sylow
302C151#1792011yescharacteristic, direct product factor, Sylow
303#3106C2×C15111yescharacteristic
304#2988C2×C15111yescharacteristic, complemented
305#2981C2×C15111yescharacteristic, complemented
306#1588C2×C15111yescharacteristic, complemented
307#1586C2×C15111yescharacteristic, complemented
308#1583C2×C15111yescharacteristic, complemented
309#1581C2×C15111yescharacteristic, complemented
310#1580C2×C15111yescharacteristic, complemented
311SD16⋊C8C2×C15111yescharacteristic, complemented
312C8×SD16C2×C15111yescharacteristic, complemented
313C8×D8C2×C15111yescharacteristic, complemented
314#1573C2×C15111yescharacteristic, complemented
315#1488C2×C15111yescharacteristic, complemented
316#1480C2×C15111yescharacteristic, complemented
317#1454C2×C15111yescharacteristic, complemented
318#532C22×C15111yescharacteristic
319C4×#41C22×C15111yescharacteristic
320#482C4×C15111yescharacteristic
321#482C4×C15111yescharacteristic
322#477C4×C15111yescharacteristic
323#476C4×C15111yescharacteristic
324#460C4×C15111yescharacteristic
325#459C4×C15111yescharacteristic
326#449C4×C15111yescharacteristic
327#449C4×C15111yescharacteristic
328C8×Q8C22×C15111yescharacteristic
329C8×Q8C22×C15111yescharacteristic
330C4×SD16C22×C15111yescharacteristic
331C4×SD16C22×C15111yescharacteristic
332C4×D8C22×C15111yescharacteristic
333C4×D8C22×C15111yescharacteristic
334#436C22×C15111yescharacteristic
335#436C22×C15111yescharacteristic
336#435—21no—
337#435—21no—
338C8×D4—21no—
339C8×D4—21no—
340C8×D4C22×C15111yescharacteristic
341C8×D4C22×C15111yescharacteristic
342C8×D4C22×C15111yescharacteristic
343C8×D4C22×C15111yescharacteristic
344#432C22×C15111yescharacteristic
345#431—21no—
346#431C22×C15111yescharacteristic
347#431C22×C15111yescharacteristic
348#431C22×C15111yescharacteristic
349C2×C4⋊C8—21no—
350C2×C4⋊C8C22×C15111yescharacteristic
351#408—21no—
352#408—21no—
353#335C22×C15111yescharacteristic
354#335C22×C15111yescharacteristic
355#334C22×C15111yescharacteristic
356#334C22×C15111yescharacteristic
357Q8⋊C8C22×C15111yescharacteristic
358Q8⋊C8C22×C15111yescharacteristic
359D4⋊C8C22×C15111yescharacteristic
360D4⋊C8C22×C15111yescharacteristic
361D4⋊C8C22×C15111yescharacteristic
362D4⋊C8C22×C15111yescharacteristic
363D4⋊C8C22×C15111yescharacteristic
364D4⋊C8C22×C15111yescharacteristic
365#322C22×C15111yescharacteristic
366#322C22×C15111yescharacteristic
367#322C22×C15111yescharacteristic
368C82C22×C15111yescharacteristic
369C2×#41—21no—
370C2×#41C2×C4×C15111yescharacteristic
371C2×SD16C2×C4×C15111yescharacteristic
372C2×SD16C2×C4×C15111yescharacteristic
373C2×D8C2×C4×C15111yescharacteristic
374C2×D8C2×C4×C15111yescharacteristic
375C2×M16—21no—
376C2×M16—21no—
377C22×C8—21no—
378C22×C8—21no—
379C22×C8—21no—
380C22×C8—21no—
381C22×C8—21no—
382C4⋊Q8C2×C4×C15111yescharacteristic
383#127C2×C4×C15111yescharacteristic
384#124—21no—
385#121—21no—
386#121C2×C4×C15111yescharacteristic
387#121C2×C4×C15111yescharacteristic
388C4×Q8C2×C4×C15111yescharacteristic
389C4×Q8C23×C15111yescharacteristic
390C4×D4—21no—
391C4×D4—21no—
392C4×D4—21no—
393C4×D4C2×C4×C15111yescharacteristic
394C4×D4C23×C15111yescharacteristic
395C4×D4C23×C15111yescharacteristic
396C4×D4C23×C15111yescharacteristic
397#117—21no—
398#117C2×C4×C15111yescharacteristic
399C2×C42—21no—
400C2×C42C23×C15111yescharacteristic
401#107C2×C4×C15111yescharacteristic
402#107C2×C4×C15111yescharacteristic
403#106C2×C4×C15111yescharacteristic
404#106C2×C4×C15111yescharacteristic
405C4⋊C8—21no—
406C4⋊C8—21no—
407C4⋊C8—21no—
408C4⋊C8—21no—
409C4⋊C8C2×C4×C15111yescharacteristic
410C4⋊C8C2×C4×C15111yescharacteristic
411C4⋊C8D4×C15111yescharacteristic
412C4⋊C8D4×C15111yescharacteristic
413C4⋊C8C23×C15111yescharacteristic
414C4⋊C8C23×C15111yescharacteristic
415C4⋊C8C23×C15111yescharacteristic
416C4⋊C8C23×C15111yescharacteristic
417#103C2×C4×C15111yescharacteristic
418#103C2×C4×C15111yescharacteristic
419#102C2×C4×C15111yescharacteristic
420#102C2×C4×C15111yescharacteristic
421#102C2×C4×C15111yescharacteristic
422#102C2×C4×C15111yescharacteristic
423#102C2×C4×C15111yescharacteristic
424#102C2×C4×C15111yescharacteristic
425C22⋊C8—21no—
426C22⋊C8—21no—
427C22⋊C8—21no—
428C22⋊C8—21no—
429C22⋊C8—21no—
430C22⋊C8—21no—
431C22⋊C8—21no—
432C22⋊C8—21no—
433C22⋊C8C2×C4×C15111yescharacteristic
434C22⋊C8C2×C4×C15111yescharacteristic
435C22⋊C8D4×C15111yescharacteristic
436C22⋊C8D4×C15111yescharacteristic
437#97—21no—
438C4×C8—21no—
439C4×C8—21no—
440C4×C8C23×C15111yescharacteristic
441C4×C8C23×C15111yescharacteristic
442C4×C8C23×C15111yescharacteristic
443C4×C8C23×C15111yescharacteristic
444C4×C8C23×C15111yescharacteristic
445C4×C8C23×C15111yescharacteristic
446#41—22no—
447#41—22no—
448#41—81no—
449#41—81no—
450C2×Q8—21no—
451C2×Q8C22×C4×C15111yescharacteristic
452C2×D4—21no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4C22×C4×C15111yescharacteristic
458C2×D4C22×C4×C15111yescharacteristic
459C2×D4C22×C4×C15111yescharacteristic
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4C22×C4×C15111yescharacteristic
466C22×C4C2×D4×C15111yescharacteristic
467C22×C4#41×C15111yescharacteristic
468SD16—22no—
469SD16—22no—
470D8—22no—
471D8—22no—
472M16—81no—
473M16—81no—
474C2×C8—21no—
475C2×C8—21no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—81no—
481C2×C8—81no—
482C2×C8—81no—
483C2×C8—81no—
484C2×C8—81no—
485C2×C8C22×C4×C15111yescharacteristic
486C2×C8C22×C4×C15111yescharacteristic
487C2×C8C22×C4×C15111yescharacteristic
488C2×C8C22×C4×C15111yescharacteristic
489C2×C8C2×D4×C15111yescharacteristic
490C2×C8C2×D4×C15111yescharacteristic
491C2×C8C2×D4×C15111yescharacteristic
492C2×C8C2×D4×C15111yescharacteristic
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4C22×C4×C15111yescharacteristic
497C4⋊C4C22×C4×C15111yescharacteristic
498C4⋊C4C22×C4×C15111yescharacteristic
499C4⋊C4C22×C4×C15111yescharacteristic
500C22⋊C4—21no—
501C22⋊C4—21no—
502C22⋊C4—21no—
503C22⋊C4—21no—
504C22⋊C4—21no—
505C22⋊C4—21no—
506C22⋊C4—21no—
507C42—21no—
508C42—21no—
509C42—21no—
510C42C22×C4×C15111yescharacteristic
511C42C2×D4×C15111yescharacteristic
512C42#41×C15111yescharacteristic
513C42C24×C15111yescharacteristic
514C23—21no—
515C23—21no—
516C23—21no—
517C23C4×D4×C15111yescharacteristic
518Q8—21no—
519Q8—81no—
520Q8#131×C15112yes—
521D4—24no—
522D4—21no—
523D4—21no—
524D4—21no—
525D4—21no—
526D4—21no—
527D4—81no—
528D4—81no—
529D4—81no—
530D4—81no—
531D4#131×C15112yes—
532C2×C4—24no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—41no—
543C2×C4—41no—
544C2×C4—41no—
545C2×C4—41no—
546C2×C4—41no—
547C2×C4—41no—
548C2×C4—41no—
549C2×C4—81no—
550C2×C4C4×D4×C15111yescharacteristic
551C2×C4C4×D4×C15111yescharacteristic
552C2×C4C4×D4×C15111yescharacteristic
553C2×C4C23×C4×C15111yescharacteristic
554C2×C4C22×D4×C15111yescharacteristic
555C2×C4C2×#41×C15111yescharacteristic
556C8—21no—
557C8—21no—
558C8—21no—
559C8—21no—
560C8—21no—
561C8—21no—
562C8—21no—
563C8—21no—
564C8—41no—
565C8—41no—
566C8—41no—
567C8—41no—
568C8—41no—
569C8—41no—
570C22—21no—
571C22—22no—
572C22—21no—
573C22—21no—
574C22—41no—
575C22—41no—
576C22—41no—
577C22—41no—
578C22—41no—
579C22—41no—
580C22—41no—
581C22—41no—
582C22C2×C4×D4×C15111yescharacteristic
583C4—21no—
584C4—22no—
585C4—21no—
586C4—21no—
587C4—21no—
588C4—41no—
589C4—41no—
590C4—41no—
591C4—41no—
592C4C2×#131×C15111yescharacteristic
593C4C2×#131×C15111yescharacteristic
594C4#576×C15111yescharacteristic
595C4#577×C15111yescharacteristic
596C2—41no—
597C2—42no—
598C2—81no—
599C2—81no—
600C2#2929×C15111yescharacteristic
601C2#2946×C15111yescharacteristic
602C2#2957×C15111yescharacteristic
subgroupG/H
centerC2×C4×C151C22×D4
commutatorC2×C4C23×C4×C151
Frattini, cosocleC42C24×C151
socleC22×C151C2×C4×D4
prime radical#3106×C151C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C151 ◁ #431×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. #2988×C151C2semidirect
3. #2981×C151C2semidirect
4. #1588×C151C2semidirect
5. #1586×C151C2semidirect
6. #1583×C151C2semidirect
7. #1581×C151C2semidirect
8. #1580×C151C2semidirect
9. SD16⋊C8×C151C2semidirect
10. C8×SD16×C151C2semidirect
11. C8×D8×C151C2semidirect
12. #1573×C151C2semidirect
13. #1488×C151C2semidirect
14. #1480×C151C2semidirect
15. #1454×C151C2semidirect
301. #17920C151direct (N × H)
302. C151#17920direct (N × H)
304. #2988C2×C151semidirect
305. #2981C2×C151semidirect
306. #1588C2×C151semidirect
307. #1586C2×C151semidirect
308. #1583C2×C151semidirect
309. #1581C2×C151semidirect
310. #1580C2×C151semidirect
311. SD16⋊C8C2×C151semidirect
312. C8×SD16C2×C151semidirect
313. C8×D8C2×C151semidirect
314. #1573C2×C151semidirect
315. #1488C2×C151semidirect
316. #1480C2×C151semidirect
317. #1454C2×C151semidirect

Maximal subgroups

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

subgroupindex
#3106×C1512
#2988×C1512
#2981×C1512
#1588×C1512
#1586×C1512
#1583×C1512
#1581×C1512
#1580×C1512
SD16⋊C8×C1512
C8×SD16×C1512
C8×D8×C1512
#1573×C1512
#1488×C1512
#1480×C1512
#1454×C1512
#17920151