Finite Group Databasebeta

← C151×#18007 #50322932

Subgroups — C151×#18007 #50322932

Order 38656.

662 conjugacy classes of subgroups.

The subgroup lattice has 610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3106×C151C211yesmaximal, characteristic
2#2970×C151C211yesmaximal, characteristic, complemented
3#2935×C151C211yesmaximal, characteristic, complemented
4#1592×C151C211yesmaximal, characteristic, complemented
5#1590×C151C211yesmaximal, characteristic, complemented
6#1586×C151C211yesmaximal, characteristic, complemented
7#1585×C151C211yesmaximal, characteristic, complemented
8#1582×C151C211yesmaximal, characteristic, complemented
9#1581×C151C211yesmaximal, characteristic, complemented
10#1580×C151C211yesmaximal, characteristic, complemented
11C8×D8×C151C211yesmaximal, characteristic, complemented
12#1573×C151C211yesmaximal, characteristic, complemented
13#1496×C151C211yesmaximal, characteristic, complemented
14#1477×C151C211yesmaximal, characteristic, complemented
15#1453×C151C211yesmaximal, characteristic, complemented
16C2×#131×C151—21no—
17#532×C151C2211yescharacteristic
18C4×#41×C151C2211yescharacteristic
19#482×C151C411yescharacteristic
20#482×C151C411yescharacteristic
21#477×C151C411yescharacteristic
22#476×C151C411yescharacteristic
23#460×C151C411yescharacteristic
24#459×C151C411yescharacteristic
25#449×C151C411yescharacteristic
26#449×C151C411yescharacteristic
27#446×C151C2211yescharacteristic
28#446×C151C2211yescharacteristic
29C4×SD16×C151C2211yescharacteristic
30C4×SD16×C151C2211yescharacteristic
31C4×D8×C151C2211yescharacteristic
32C4×D8×C151C2211yescharacteristic
33#436×C151C2211yescharacteristic
34#436×C151C2211yescharacteristic
35#435×C151—21no—
36#435×C151—21no—
37#435×C151—21no—
38#435×C151—21no—
39C8×D4×C151C2211yescharacteristic
40C8×D4×C151C2211yescharacteristic
41C8×D4×C151C2211yescharacteristic
42C8×D4×C151C2211yescharacteristic
43#432×C151—21no—
44#432×C151C2211yescharacteristic
45#431×C151C2211yescharacteristic
46#431×C151C2211yescharacteristic
47C2×C4⋊C8×C151C2211yescharacteristic
48#408×C151—21no—
49C4×M16×C151C2211yescharacteristic
50C2×#97×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
73#131×C151—44no—
74C2×M16×C151—21no—
75C2×M16×C151—21no—
76C2×M16×C151D411yescharacteristic
77C2×M16×C151D411yescharacteristic
78C22×C8×C151—21no—
79C22×C8×C151—21no—
80C22×C8×C151—21no—
81C22×C8×C151—21no—
82C22×C8×C151—21no—
83C4⋊Q8×C151C2×C411yescharacteristic
84#127×C151C2×C411yescharacteristic
85#124×C151—21no—
86#121×C151—21no—
87#121×C151C2×C411yescharacteristic
88#121×C151C2×C411yescharacteristic
89C4×Q8×C151C2×C411yescharacteristic
90C4×Q8×C151C2311yescharacteristic
91C4×D4×C151—21no—
92C4×D4×C151—21no—
93C4×D4×C151—21no—
94C4×D4×C151C2×C411yescharacteristic
95C4×D4×C151C2311yescharacteristic
96C4×D4×C151C2311yescharacteristic
97C4×D4×C151C2311yescharacteristic
98#117×C151—21no—
99#117×C151C2×C411yescharacteristic
100C2×C42×C151—21no—
101C2×C42×C151C2311yescharacteristic
102#107×C151C2×C411yescharacteristic
103#107×C151C2×C411yescharacteristic
104#106×C151C2×C411yescharacteristic
105#106×C151C2×C411yescharacteristic
106C4⋊C8×C151—21no—
107C4⋊C8×C151—21no—
108C4⋊C8×C151—21no—
109C4⋊C8×C151—21no—
110C4⋊C8×C151C2×C411yescharacteristic
111C4⋊C8×C151C2×C411yescharacteristic
112C4⋊C8×C151C2311yescharacteristic
113C4⋊C8×C151C2311yescharacteristic
114C4⋊C8×C151C2311yescharacteristic
115C4⋊C8×C151C2311yescharacteristic
116#103×C151C2×C411yescharacteristic
117#103×C151C2×C411yescharacteristic
118#102×C151C2×C411yescharacteristic
119#102×C151C2×C411yescharacteristic
120#102×C151C2×C411yescharacteristic
121#102×C151C2×C411yescharacteristic
122#102×C151C2×C411yescharacteristic
123#102×C151C2×C411yescharacteristic
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×C151—21no—
132C22⋊C8×C151C2×C411yescharacteristic
133C22⋊C8×C151C2×C411yescharacteristic
134#97×C151—21no—
135#97×C151—21no—
136#97×C151—21no—
137#97×C151D411yescharacteristic
138#97×C151D411yescharacteristic
139C4×C8×C151C2311yescharacteristic
140C4×C8×C151C2311yescharacteristic
141C4×C8×C151C2311yescharacteristic
142C4×C8×C151C2311yescharacteristic
143C4×C8×C151C2311yescharacteristic
144C4×C8×C151C2311yescharacteristic
145#41×C151—22no—
146#41×C151—41no—
147#41×C151—42no—
148#41×C151—42no—
149C2×Q8×C151—21no—
150C2×Q8×C151C22×C411yescharacteristic
151C2×D4×C151—21no—
152C2×D4×C151—21no—
153C2×D4×C151—21no—
154C2×D4×C151—21no—
155C2×D4×C151—21no—
156C2×D4×C151C22×C411yescharacteristic
157C2×D4×C151C22×C411yescharacteristic
158C2×D4×C151C22×C411yescharacteristic
159C22×C4×C151—21no—
160C22×C4×C151—21no—
161C22×C4×C151—21no—
162C22×C4×C151—21no—
163C22×C4×C151—21no—
164C22×C4×C151C22×C411yescharacteristic
165C22×C4×C151C2×D411yescharacteristic
166C22×C4×C151#4111yescharacteristic
167SD16×C151—41no—
168SD16×C151—41no—
169D8×C151—22no—
170D8×C151—22no—
171M16×C151—22no—
172M16×C151—41no—
173M16×C151—42no—
174M16×C151—42no—
175C2×C8×C151—21no—
176C2×C8×C151—21no—
177C2×C8×C151—21no—
178C2×C8×C151—21no—
179C2×C8×C151—21no—
180C2×C8×C151—21no—
181C2×C8×C151—42no—
182C2×C8×C151—42no—
183C2×C8×C151—42no—
184C2×C8×C151—42no—
185C2×C8×C151—42no—
186C2×C8×C151C22×C411yescharacteristic
187C2×C8×C151C22×C411yescharacteristic
188C2×C8×C151C22×C411yescharacteristic
189C2×C8×C151C22×C411yescharacteristic
190C2×C8×C151C2×D411yescharacteristic
191C2×C8×C151C2×D411yescharacteristic
192C2×C8×C151C2×D411yescharacteristic
193C2×C8×C151C2×D411yescharacteristic
194C4⋊C4×C151—21no—
195C4⋊C4×C151—21no—
196C4⋊C4×C151—21no—
197C4⋊C4×C151C22×C411yescharacteristic
198C4⋊C4×C151C22×C411yescharacteristic
199C4⋊C4×C151C22×C411yescharacteristic
200C4⋊C4×C151C22×C411yescharacteristic
201C22⋊C4×C151—21no—
202C22⋊C4×C151—21no—
203C22⋊C4×C151—21no—
204C22⋊C4×C151—21no—
205C22⋊C4×C151—21no—
206C22⋊C4×C151—21no—
207C22⋊C4×C151—21no—
208C42×C151—21no—
209C42×C151—21no—
210C42×C151—21no—
211C42×C151C22×C411yescharacteristic
212C42×C151C2×D411yescharacteristic
213C42×C151#4111yescharacteristic
214C42×C151C2411yescharacteristic
215C23×C151—21no—
216C23×C151—21no—
217C23×C151—21no—
218C23×C151C4×D411yescharacteristic
219Q8×C151—21no—
220Q8×C151—21no—
221Q8×C151—42no—
222D4×C151—21no—
223D4×C151—21no—
224D4×C151—21no—
225D4×C151—21no—
226D4×C151—21no—
227D4×C151—42no—
228D4×C151—42no—
229D4×C151—42no—
230D4×C151—42no—
231D4×C151—81no—
232D4×C151#13112yescomplemented
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—21no—
241C2×C4×C151—21no—
242C2×C4×C151—41no—
243C2×C4×C151—42no—
244C2×C4×C151—41no—
245C2×C4×C151—41no—
246C2×C4×C151—41no—
247C2×C4×C151—41no—
248C2×C4×C151—41no—
249C2×C4×C151—41no—
250C2×C4×C151—81no—
251C2×C4×C151C4×D411yescharacteristic
252C2×C4×C151C4×D411yescharacteristic
253C2×C4×C151C4×D411yescharacteristic
254C2×C4×C151C23×C411yescharacteristic
255C2×C4×C151C22×D411yescharacteristic
256C2×C4×C151C2×#4111yescharacteristic
257C8×C151—21no—
258C8×C151—21no—
259C8×C151—21no—
260C8×C151—21no—
261C8×C151—21no—
262C8×C151—21no—
263C8×C151—21no—
264C8×C151—41no—
265C8×C151—41no—
266C8×C151—41no—
267C8×C151—41no—
268C8×C151—41no—
269C8×C151—41no—
270C8×C151AGL(1,ℤ/8)12yes—
271C22×C151—21no—
272C22×C151—22no—
273C22×C151—21no—
274C22×C151—21no—
275C22×C151—41no—
276C22×C151—41no—
277C22×C151—41no—
278C22×C151—41no—
279C22×C151—41no—
280C22×C151—41no—
281C22×C151—41no—
282C22×C151—41no—
283C22×C151C2×C4×D411yescharacteristic
284C4×C151—21no—
285C4×C151—21no—
286C4×C151—21no—
287C4×C151—21no—
288C4×C151—41no—
289C4×C151—41no—
290C4×C151—41no—
291C4×C151—41no—
292C4×C151—41no—
293C4×C151C2×#13111yescharacteristic
294C4×C151#56811yescharacteristic
295C4×C151C2×AGL(1,ℤ/8)11yescharacteristic
296C4×C151#57511yescharacteristic
297C2×C151—41no—
298C2×C151—42no—
299C2×C151—81no—
300C2×C151—81no—
301C2×C151#293311yescharacteristic
302C2×C151C4×AGL(1,ℤ/8)11yescharacteristic
303C2×C151#295711yescharacteristic
304#18007C15111yesmaximal, characteristic, direct product factor, Sylow
305C151#1800711yescharacteristic, direct product factor, Sylow
306#3106C2×C15111yescharacteristic
307#2970C2×C15111yescharacteristic, complemented
308#2935C2×C15111yescharacteristic, complemented
309#1592C2×C15111yescharacteristic, complemented
310#1590C2×C15111yescharacteristic, complemented
311#1586C2×C15111yescharacteristic, complemented
312#1585C2×C15111yescharacteristic, complemented
313#1582C2×C15111yescharacteristic, complemented
314#1581C2×C15111yescharacteristic, complemented
315#1580C2×C15111yescharacteristic, complemented
316C8×D8C2×C15111yescharacteristic, complemented
317#1573C2×C15111yescharacteristic, complemented
318#1496C2×C15111yescharacteristic, complemented
319#1477C2×C15111yescharacteristic, complemented
320#1453C2×C15111yescharacteristic, complemented
321C2×#131—21no—
322#532C22×C15111yescharacteristic
323C4×#41C22×C15111yescharacteristic
324#482C4×C15111yescharacteristic
325#482C4×C15111yescharacteristic
326#477C4×C15111yescharacteristic
327#476C4×C15111yescharacteristic
328#460C4×C15111yescharacteristic
329#459C4×C15111yescharacteristic
330#449C4×C15111yescharacteristic
331#449C4×C15111yescharacteristic
332#446C22×C15111yescharacteristic
333#446C22×C15111yescharacteristic
334C4×SD16C22×C15111yescharacteristic
335C4×SD16C22×C15111yescharacteristic
336C4×D8C22×C15111yescharacteristic
337C4×D8C22×C15111yescharacteristic
338#436C22×C15111yescharacteristic
339#436C22×C15111yescharacteristic
340#435—21no—
341#435—21no—
342#435—21no—
343#435—21no—
344C8×D4C22×C15111yescharacteristic
345C8×D4C22×C15111yescharacteristic
346C8×D4C22×C15111yescharacteristic
347C8×D4C22×C15111yescharacteristic
348#432—21no—
349#432C22×C15111yescharacteristic
350#431C22×C15111yescharacteristic
351#431C22×C15111yescharacteristic
352C2×C4⋊C8C22×C15111yescharacteristic
353#408—21no—
354C4×M16C22×C15111yescharacteristic
355C2×#97—21no—
356#335C22×C15111yescharacteristic
357#335C22×C15111yescharacteristic
358#334C22×C15111yescharacteristic
359#334C22×C15111yescharacteristic
360Q8⋊C8C22×C15111yescharacteristic
361Q8⋊C8C22×C15111yescharacteristic
362D4⋊C8C22×C15111yescharacteristic
363D4⋊C8C22×C15111yescharacteristic
364D4⋊C8C22×C15111yescharacteristic
365D4⋊C8C22×C15111yescharacteristic
366D4⋊C8C22×C15111yescharacteristic
367D4⋊C8C22×C15111yescharacteristic
368#322C22×C15111yescharacteristic
369#322C22×C15111yescharacteristic
370#322C22×C15111yescharacteristic
371C82C22×C15111yescharacteristic
372C2×#41—21no—
373C2×#41C2×C4×C15111yescharacteristic
374C2×SD16C2×C4×C15111yescharacteristic
375C2×SD16C2×C4×C15111yescharacteristic
376C2×D8C2×C4×C15111yescharacteristic
377C2×D8C2×C4×C15111yescharacteristic
378#131—44no—
379C2×M16—21no—
380C2×M16—21no—
381C2×M16D4×C15111yescharacteristic
382C2×M16D4×C15111yescharacteristic
383C22×C8—21no—
384C22×C8—21no—
385C22×C8—21no—
386C22×C8—21no—
387C22×C8—21no—
388C4⋊Q8C2×C4×C15111yescharacteristic
389#127C2×C4×C15111yescharacteristic
390#124—21no—
391#121—21no—
392#121C2×C4×C15111yescharacteristic
393#121C2×C4×C15111yescharacteristic
394C4×Q8C2×C4×C15111yescharacteristic
395C4×Q8C23×C15111yescharacteristic
396C4×D4—21no—
397C4×D4—21no—
398C4×D4—21no—
399C4×D4C2×C4×C15111yescharacteristic
400C4×D4C23×C15111yescharacteristic
401C4×D4C23×C15111yescharacteristic
402C4×D4C23×C15111yescharacteristic
403#117—21no—
404#117C2×C4×C15111yescharacteristic
405C2×C42—21no—
406C2×C42C23×C15111yescharacteristic
407#107C2×C4×C15111yescharacteristic
408#107C2×C4×C15111yescharacteristic
409#106C2×C4×C15111yescharacteristic
410#106C2×C4×C15111yescharacteristic
411C4⋊C8—21no—
412C4⋊C8—21no—
413C4⋊C8—21no—
414C4⋊C8—21no—
415C4⋊C8C2×C4×C15111yescharacteristic
416C4⋊C8C2×C4×C15111yescharacteristic
417C4⋊C8C23×C15111yescharacteristic
418C4⋊C8C23×C15111yescharacteristic
419C4⋊C8C23×C15111yescharacteristic
420C4⋊C8C23×C15111yescharacteristic
421#103C2×C4×C15111yescharacteristic
422#103C2×C4×C15111yescharacteristic
423#102C2×C4×C15111yescharacteristic
424#102C2×C4×C15111yescharacteristic
425#102C2×C4×C15111yescharacteristic
426#102C2×C4×C15111yescharacteristic
427#102C2×C4×C15111yescharacteristic
428#102C2×C4×C15111yescharacteristic
429C22⋊C8—21no—
430C22⋊C8—21no—
431C22⋊C8—21no—
432C22⋊C8—21no—
433C22⋊C8—21no—
434C22⋊C8—21no—
435C22⋊C8—21no—
436C22⋊C8—21no—
437C22⋊C8C2×C4×C15111yescharacteristic
438C22⋊C8C2×C4×C15111yescharacteristic
439#97—21no—
440#97—21no—
441#97—21no—
442#97D4×C15111yescharacteristic
443#97D4×C15111yescharacteristic
444C4×C8C23×C15111yescharacteristic
445C4×C8C23×C15111yescharacteristic
446C4×C8C23×C15111yescharacteristic
447C4×C8C23×C15111yescharacteristic
448C4×C8C23×C15111yescharacteristic
449C4×C8C23×C15111yescharacteristic
450#41—22no—
451#41—41no—
452#41—42no—
453#41—42no—
454C2×Q8—21no—
455C2×Q8C22×C4×C15111yescharacteristic
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4C22×C4×C15111yescharacteristic
462C2×D4C22×C4×C15111yescharacteristic
463C2×D4C22×C4×C15111yescharacteristic
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4C22×C4×C15111yescharacteristic
470C22×C4C2×D4×C15111yescharacteristic
471C22×C4#41×C15111yescharacteristic
472SD16—41no—
473SD16—41no—
474D8—22no—
475D8—22no—
476M16—22no—
477M16—41no—
478M16—42no—
479M16—42no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—42no—
487C2×C8—42no—
488C2×C8—42no—
489C2×C8—42no—
490C2×C8—42no—
491C2×C8C22×C4×C15111yescharacteristic
492C2×C8C22×C4×C15111yescharacteristic
493C2×C8C22×C4×C15111yescharacteristic
494C2×C8C22×C4×C15111yescharacteristic
495C2×C8C2×D4×C15111yescharacteristic
496C2×C8C2×D4×C15111yescharacteristic
497C2×C8C2×D4×C15111yescharacteristic
498C2×C8C2×D4×C15111yescharacteristic
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4C22×C4×C15111yescharacteristic
503C4⋊C4C22×C4×C15111yescharacteristic
504C4⋊C4C22×C4×C15111yescharacteristic
505C4⋊C4C22×C4×C15111yescharacteristic
506C22⋊C4—21no—
507C22⋊C4—21no—
508C22⋊C4—21no—
509C22⋊C4—21no—
510C22⋊C4—21no—
511C22⋊C4—21no—
512C22⋊C4—21no—
513C42—21no—
514C42—21no—
515C42—21no—
516C42C22×C4×C15111yescharacteristic
517C42C2×D4×C15111yescharacteristic
518C42#41×C15111yescharacteristic
519C42C24×C15111yescharacteristic
520C23—21no—
521C23—21no—
522C23—21no—
523C23C4×D4×C15111yescharacteristic
524Q8—21no—
525Q8—21no—
526Q8—42no—
527D4—21no—
528D4—21no—
529D4—21no—
530D4—21no—
531D4—21no—
532D4—42no—
533D4—42no—
534D4—42no—
535D4—42no—
536D4—81no—
537D4#131×C15112yescomplemented
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—41no—
548C2×C4—42no—
549C2×C4—41no—
550C2×C4—41no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—81no—
556C2×C4C4×D4×C15111yescharacteristic
557C2×C4C4×D4×C15111yescharacteristic
558C2×C4C4×D4×C15111yescharacteristic
559C2×C4C23×C4×C15111yescharacteristic
560C2×C4C22×D4×C15111yescharacteristic
561C2×C4C2×#41×C15111yescharacteristic
562C8—21no—
563C8—21no—
564C8—21no—
565C8—21no—
566C8—21no—
567C8—21no—
568C8—21no—
569C8—41no—
570C8—41no—
571C8—41no—
572C8—41no—
573C8—41no—
574C8—41no—
575C8AGL(1,ℤ/8)×C15112yes—
576C22—21no—
577C22—22no—
578C22—21no—
579C22—21no—
580C22—41no—
581C22—41no—
582C22—41no—
583C22—41no—
584C22—41no—
585C22—41no—
586C22—41no—
587C22—41no—
588C22C2×C4×D4×C15111yescharacteristic
589C4—21no—
590C4—21no—
591C4—21no—
592C4—21no—
593C4—41no—
594C4—41no—
595C4—41no—
596C4—41no—
597C4—41no—
598C4C2×#131×C15111yescharacteristic
599C4#568×C15111yescharacteristic
600C4C2×AGL(1,ℤ/8)×C15111yescharacteristic
601C4#575×C15111yescharacteristic
602C2—41no—
603C2—42no—
604C2—81no—
605C2—81no—
606C2#2933×C15111yescharacteristic
607C2C4×AGL(1,ℤ/8)×C15111yescharacteristic
608C2#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 ◁ C4×M16×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. #2970×C151C2semidirect
3. #2935×C151C2semidirect
4. #1592×C151C2semidirect
5. #1590×C151C2semidirect
6. #1586×C151C2semidirect
7. #1585×C151C2semidirect
8. #1582×C151C2semidirect
9. #1581×C151C2semidirect
10. #1580×C151C2semidirect
11. C8×D8×C151C2semidirect
12. #1573×C151C2semidirect
13. #1496×C151C2semidirect
14. #1477×C151C2semidirect
15. #1453×C151C2semidirect
232. D4×C151#131semidirect
304. #18007C151direct (N × H)
305. C151#18007direct (N × H)
307. #2970C2×C151semidirect
308. #2935C2×C151semidirect
309. #1592C2×C151semidirect
310. #1590C2×C151semidirect
311. #1586C2×C151semidirect
312. #1585C2×C151semidirect
313. #1582C2×C151semidirect
314. #1581C2×C151semidirect
315. #1580C2×C151semidirect
316. C8×D8C2×C151semidirect
317. #1573C2×C151semidirect
318. #1496C2×C151semidirect
319. #1477C2×C151semidirect
320. #1453C2×C151semidirect
537. D4#131×C151semidirect

Maximal subgroups

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

subgroupindex
#3106×C1512
#2970×C1512
#2935×C1512
#1592×C1512
#1590×C1512
#1586×C1512
#1585×C1512
#1582×C1512
#1581×C1512
#1580×C1512
C8×D8×C1512
#1573×C1512
#1496×C1512
#1477×C1512
#1453×C1512
#18007151