Finite Group Databasebeta

← C151×#23082 #50328007

Subgroups — C151×#23082 #50328007

Order 38656.

646 conjugacy classes of subgroups.

The subgroup lattice has 620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3076×C151C211yesmaximal, characteristic
2#2962×C151C211yesmaximal, characteristic, complemented
3#2925×C151C211yesmaximal, characteristic
4#1995×C151C211yesmaximal, characteristic, complemented
5#1950×C151C211yesmaximal, characteristic, complemented
6#1938×C151C211yesmaximal, characteristic
7#1937×C151C211yesmaximal, characteristic
8#1929×C151C211yesmaximal, characteristic
9#1929×C151C211yesmaximal, characteristic
10#1922×C151C211yesmaximal, characteristic, complemented
11#1922×C151C211yesmaximal, characteristic, complemented
12#1773×C151C211yesmaximal, characteristic, complemented
13#1772×C151C211yesmaximal, characteristic, complemented
14#1768×C151C211yesmaximal, characteristic, complemented
15#1759×C151C211yesmaximal, characteristic
16#533×C151C2211yescharacteristic
17C4×#41×C151C2211yescharacteristic
18#479×C151C411yescharacteristic, complemented
19#479×C151C411yescharacteristic, complemented
20#478×C151C411yescharacteristic, complemented
21#478×C151C411yescharacteristic, complemented
22#477×C151C411yescharacteristic, complemented
23#476×C151C411yescharacteristic, complemented
24#475×C151C411yescharacteristic, complemented
25#474×C151C411yescharacteristic, complemented
26#446×C151—21no—
27#446×C151—21no—
28#446×C151—21no—
29C8×Q8×C151—21no—
30#433×C151—21no—
31#433×C151—21no—
32#432×C151—21no—
33#431×C151—21no—
34C2×#108×C151C2211yescharacteristic
35C2×#108×C151C2211yescharacteristic
36#427×C151C2211yescharacteristic
37#427×C151C2211yescharacteristic
38#424×C151C2211yescharacteristic
39#424×C151C2211yescharacteristic
40#423×C151C2211yescharacteristic
41C2×C4⋊C8×C151C2211yescharacteristic
42C2×C4⋊C8×C151C2211yescharacteristic
43C2×#104×C151C2211yescharacteristic
44C2×#104×C151C2211yescharacteristic
45#416×C151C2211yescharacteristic
46#416×C151C2211yescharacteristic
47#408×C151C2211yescharacteristic
48#408×C151C2211yescharacteristic
49#405×C151C2211yescharacteristic
50#405×C151C2211yescharacteristic
51#405×C151C2211yescharacteristic
52#405×C151C2211yescharacteristic
53C4×M16×C151C2211yescharacteristic
54C2×#97×C151C2211yescharacteristic
55C2×C4×C8×C151C2211yescharacteristic
56#376×C151C2211yescharacteristic
57#341×C151C2211yescharacteristic
58#341×C151C2211yescharacteristic
59#339×C151C2211yescharacteristic
60#339×C151C2211yescharacteristic
61#339×C151C2211yescharacteristic
62#339×C151C2211yescharacteristic
63#339×C151C2211yescharacteristic
64#339×C151C2211yescharacteristic
65#336×C151C2211yescharacteristic
66#336×C151C2211yescharacteristic
67C2×#41×C151C2311yescharacteristic
68C2×M16×C151C2311yescharacteristic
69C2×M16×C151C2311yescharacteristic
70C2×M16×C151C2311yescharacteristic
71C2×M16×C151C2311yescharacteristic
72C22×C8×C151C2311yescharacteristic
73C22×C8×C151C2311yescharacteristic
74C22×C8×C151C2311yescharacteristic
75C22×C8×C151C2311yescharacteristic
76C4⋊Q8×C151C2×C411yescharacteristic
77C4⋊Q8×C151C2×C411yescharacteristic
78#125×C151C2×C411yescharacteristic
79#125×C151C2×C411yescharacteristic
80C22⋊Q8×C151—21no—
81C22⋊Q8×C151—21no—
82C4×Q8×C151—21no—
83C4×Q8×C151—21no—
84C4×Q8×C151C2×C411yescharacteristic
85C4×Q8×C151C2×C411yescharacteristic
86C4×D4×C151—21no—
87C4×D4×C151—21no—
88C4×D4×C151C2×C411yescharacteristic
89C4×D4×C151C2×C411yescharacteristic
90#117×C151—21no—
91#117×C151C2311yescharacteristic
92#117×C151C2311yescharacteristic
93#117×C151C2311yescharacteristic
94C2×C42×C151—21no—
95C2×C42×C151C2311yescharacteristic
96C2×C42×C151C2311yescharacteristic
97C2×C42×C151C2311yescharacteristic
98#108×C151—22no—
99#108×C151—22no—
100#107×C151C2×C411yescharacteristic
101#107×C151C2×C411yescharacteristic
102#107×C151C2×C411yescharacteristic
103#107×C151C2×C411yescharacteristic
104#106×C151C2×C411yescharacteristic
105#106×C151C2×C411yescharacteristic
106#106×C151C2×C411yescharacteristic
107#106×C151C2×C411yescharacteristic
108C4⋊C8×C151—21no—
109C4⋊C8×C151—21no—
110C4⋊C8×C151—21no—
111C4⋊C8×C151—21no—
112C4⋊C8×C151—21no—
113C4⋊C8×C151—21no—
114C4⋊C8×C151C2×C411yescharacteristic
115C4⋊C8×C151C2×C411yescharacteristic
116C4⋊C8×C151C2×C411yescharacteristic
117C4⋊C8×C151C2×C411yescharacteristic
118C4⋊C8×C151D411yescharacteristic
119C4⋊C8×C151D411yescharacteristic
120C4⋊C8×C151D411yescharacteristic
121C4⋊C8×C151D411yescharacteristic
122#104×C151—22no—
123#104×C151—22no—
124#103×C151C2×C411yescharacteristic
125#103×C151C2×C411yescharacteristic
126#103×C151C2×C411yescharacteristic
127#103×C151C2×C411yescharacteristic
128#102×C151C2×C411yescharacteristic
129#102×C151C2×C411yescharacteristic
130#102×C151C2×C411yescharacteristic
131#102×C151C2×C411yescharacteristic
132C22⋊C8×C151—21no—
133C22⋊C8×C151—21no—
134C22⋊C8×C151—21no—
135C22⋊C8×C151—21no—
136#97×C151—21no—
137#97×C151—21no—
138#97×C151—21no—
139#97×C151—21no—
140#97×C151—21no—
141#97×C151—22no—
142C4×C8×C151—21no—
143C4×C8×C151—21no—
144C4×C8×C151—21no—
145C4×C8×C151—21no—
146C4×C8×C151—21no—
147C4×C8×C151—22no—
148#95×C151—21no—
149#95×C151—21no—
150#41×C151—21no—
151#41×C151—21no—
152#41×C151—21no—
153#41×C151—21no—
154C2×Q8×C151—21no—
155C2×Q8×C151—21no—
156C2×Q8×C151C22×C411yescharacteristic
157C2×D4×C151—21no—
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×C151#4111yescharacteristic
165C22×C4×C151#4111yescharacteristic
166C22×C4×C151C2411yescharacteristic
167M16×C151—21no—
168M16×C151—21no—
169M16×C151—21no—
170M16×C151—21no—
171M16×C151—21no—
172M16×C151—21no—
173M16×C151—21no—
174M16×C151#4112yes—
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—21no—
182C2×C8×C151—21no—
183C2×C8×C151—21no—
184C2×C8×C151—21no—
185C2×C8×C151—21no—
186C2×C8×C151—21no—
187C2×C8×C151C22×C411yescharacteristic
188C2×C8×C151C22×C411yescharacteristic
189C2×C8×C151C22×C411yescharacteristic
190C2×C8×C151C22×C411yescharacteristic
191C2×C8×C151C2×D411yescharacteristic
192C2×C8×C151C2×D411yescharacteristic
193C2×C8×C151C2×D411yescharacteristic
194C2×C8×C151C2×D411yescharacteristic
195C4⋊C4×C151—21no—
196C4⋊C4×C151—21no—
197C4⋊C4×C151—21no—
198C4⋊C4×C151—21no—
199C4⋊C4×C151—21no—
200C4⋊C4×C151—21no—
201C4⋊C4×C151—21no—
202C4⋊C4×C151—21no—
203C4⋊C4×C151C22×C411yescharacteristic
204C4⋊C4×C151C22×C411yescharacteristic
205C4⋊C4×C151C22×C411yescharacteristic
206C4⋊C4×C151C22×C411yescharacteristic
207C4⋊C4×C151C22×C411yescharacteristic
208C4⋊C4×C151C22×C411yescharacteristic
209C22⋊C4×C151—21no—
210C22⋊C4×C151—21no—
211C22⋊C4×C151—21no—
212C22⋊C4×C151—21no—
213C22⋊C4×C151—21no—
214C42×C151—21no—
215C42×C151—21no—
216C42×C151—21no—
217C42×C151—21no—
218C42×C151—21no—
219C42×C151—21no—
220C42×C151—21no—
221C42×C151—21no—
222C42×C151C22×C411yescharacteristic
223C42×C151C22×C411yescharacteristic
224C42×C151C2×D411yescharacteristic
225C42×C151C2×D411yescharacteristic
226C42×C151#4112yes—
227C23×C151—21no—
228C23×C151C2×#4111yescharacteristic
229Q8×C151—21no—
230Q8×C151—21no—
231Q8×C151—42no—
232Q8×C151—81no—
233D4×C151—21no—
234D4×C151—21no—
235D4×C151—41no—
236D4×C151—41no—
237C2×C4×C151—21no—
238C2×C4×C151—21no—
239C2×C4×C151—21no—
240C2×C4×C151—21no—
241C2×C4×C151—21no—
242C2×C4×C151—21no—
243C2×C4×C151—21no—
244C2×C4×C151—22no—
245C2×C4×C151—41no—
246C2×C4×C151—41no—
247C2×C4×C151—42no—
248C2×C4×C151—41no—
249C2×C4×C151—41no—
250C2×C4×C151—41no—
251C2×C4×C151—41no—
252C2×C4×C151—41no—
253C2×C4×C151—41no—
254C2×C4×C151—41no—
255C2×C4×C151—81no—
256C2×C4×C151C4×D411yescharacteristic
257C2×C4×C151C4×D411yescharacteristic
258C2×C4×C151C4×D411yescharacteristic
259C2×C4×C151C4×D411yescharacteristic
260C2×C4×C151C23×C411yescharacteristic
261C2×C4×C151C22×D411yescharacteristic
262C2×C4×C151C2×#4111yescharacteristic
263C2×C4×C151C2×#4111yescharacteristic
264C2×C4×C1512−1+411yescharacteristic
265C2×C4×C1512−1+411yescharacteristic
266C8×C151—21no—
267C8×C151—21no—
268C8×C151—21no—
269C8×C151—21no—
270C8×C151—21no—
271C8×C151—21no—
272C8×C151—21no—
273C8×C151—21no—
274C8×C151—22no—
275C8×C151—41no—
276C8×C151—41no—
277C8×C151—41no—
278C22×C151—21no—
279C22×C151—21no—
280C22×C151—41no—
281C22×C151—41no—
282C22×C151—41no—
283C22×C151C2×C4×D411yescharacteristic
284C22×C151#55211yescharacteristic
285C22×C151#55611yescharacteristic
286C4×C151—21no—
287C4×C151—21no—
288C4×C151—21no—
289C4×C151—21no—
290C4×C151—42no—
291C4×C151—41no—
292C4×C151—41no—
293C4×C151—41no—
294C4×C151—41no—
295C4×C151—41no—
296C4×C151—41no—
297C4×C151—41no—
298C4×C151—81no—
299C4×C151C4×#4111yescharacteristic
300C4×C151#51911yescharacteristic
301C4×C151#54711yescharacteristic
302C4×C151#54811yescharacteristic
303C2×C151—21no—
304C2×C151—21no—
305C2×C151—81no—
306C2×C151#236211yescharacteristic
307C2×C151#295511yescharacteristic
308C2×C151#295711yescharacteristic
309#23082C15111yesmaximal, characteristic, direct product factor, Sylow
310C151#2308211yescharacteristic, direct product factor, Sylow
311#3076C2×C15111yescharacteristic
312#2962C2×C15111yescharacteristic, complemented
313#2925C2×C15111yescharacteristic
314#1995C2×C15111yescharacteristic, complemented
315#1950C2×C15111yescharacteristic, complemented
316#1938C2×C15111yescharacteristic
317#1937C2×C15111yescharacteristic
318#1929C2×C15111yescharacteristic
319#1929C2×C15111yescharacteristic
320#1922C2×C15111yescharacteristic, complemented
321#1922C2×C15111yescharacteristic, complemented
322#1773C2×C15111yescharacteristic, complemented
323#1772C2×C15111yescharacteristic, complemented
324#1768C2×C15111yescharacteristic, complemented
325#1759C2×C15111yescharacteristic
326#533C22×C15111yescharacteristic
327C4×#41C22×C15111yescharacteristic
328#479C4×C15111yescharacteristic, complemented
329#479C4×C15111yescharacteristic, complemented
330#478C4×C15111yescharacteristic, complemented
331#478C4×C15111yescharacteristic, complemented
332#477C4×C15111yescharacteristic, complemented
333#476C4×C15111yescharacteristic, complemented
334#475C4×C15111yescharacteristic, complemented
335#474C4×C15111yescharacteristic, complemented
336#446—21no—
337#446—21no—
338#446—21no—
339C8×Q8—21no—
340#433—21no—
341#433—21no—
342#432—21no—
343#431—21no—
344C2×#108C22×C15111yescharacteristic
345C2×#108C22×C15111yescharacteristic
346#427C22×C15111yescharacteristic
347#427C22×C15111yescharacteristic
348#424C22×C15111yescharacteristic
349#424C22×C15111yescharacteristic
350#423C22×C15111yescharacteristic
351C2×C4⋊C8C22×C15111yescharacteristic
352C2×C4⋊C8C22×C15111yescharacteristic
353C2×#104C22×C15111yescharacteristic
354C2×#104C22×C15111yescharacteristic
355#416C22×C15111yescharacteristic
356#416C22×C15111yescharacteristic
357#408C22×C15111yescharacteristic
358#408C22×C15111yescharacteristic
359#405C22×C15111yescharacteristic
360#405C22×C15111yescharacteristic
361#405C22×C15111yescharacteristic
362#405C22×C15111yescharacteristic
363C4×M16C22×C15111yescharacteristic
364C2×#97C22×C15111yescharacteristic
365C2×C4×C8C22×C15111yescharacteristic
366#376C22×C15111yescharacteristic
367#341C22×C15111yescharacteristic
368#341C22×C15111yescharacteristic
369#339C22×C15111yescharacteristic
370#339C22×C15111yescharacteristic
371#339C22×C15111yescharacteristic
372#339C22×C15111yescharacteristic
373#339C22×C15111yescharacteristic
374#339C22×C15111yescharacteristic
375#336C22×C15111yescharacteristic
376#336C22×C15111yescharacteristic
377C2×#41C23×C15111yescharacteristic
378C2×M16C23×C15111yescharacteristic
379C2×M16C23×C15111yescharacteristic
380C2×M16C23×C15111yescharacteristic
381C2×M16C23×C15111yescharacteristic
382C22×C8C23×C15111yescharacteristic
383C22×C8C23×C15111yescharacteristic
384C22×C8C23×C15111yescharacteristic
385C22×C8C23×C15111yescharacteristic
386C4⋊Q8C2×C4×C15111yescharacteristic
387C4⋊Q8C2×C4×C15111yescharacteristic
388#125C2×C4×C15111yescharacteristic
389#125C2×C4×C15111yescharacteristic
390C22⋊Q8—21no—
391C22⋊Q8—21no—
392C4×Q8—21no—
393C4×Q8—21no—
394C4×Q8C2×C4×C15111yescharacteristic
395C4×Q8C2×C4×C15111yescharacteristic
396C4×D4—21no—
397C4×D4—21no—
398C4×D4C2×C4×C15111yescharacteristic
399C4×D4C2×C4×C15111yescharacteristic
400#117—21no—
401#117C23×C15111yescharacteristic
402#117C23×C15111yescharacteristic
403#117C23×C15111yescharacteristic
404C2×C42—21no—
405C2×C42C23×C15111yescharacteristic
406C2×C42C23×C15111yescharacteristic
407C2×C42C23×C15111yescharacteristic
408#108—22no—
409#108—22no—
410#107C2×C4×C15111yescharacteristic
411#107C2×C4×C15111yescharacteristic
412#107C2×C4×C15111yescharacteristic
413#107C2×C4×C15111yescharacteristic
414#106C2×C4×C15111yescharacteristic
415#106C2×C4×C15111yescharacteristic
416#106C2×C4×C15111yescharacteristic
417#106C2×C4×C15111yescharacteristic
418C4⋊C8—21no—
419C4⋊C8—21no—
420C4⋊C8—21no—
421C4⋊C8—21no—
422C4⋊C8—21no—
423C4⋊C8—21no—
424C4⋊C8C2×C4×C15111yescharacteristic
425C4⋊C8C2×C4×C15111yescharacteristic
426C4⋊C8C2×C4×C15111yescharacteristic
427C4⋊C8C2×C4×C15111yescharacteristic
428C4⋊C8D4×C15111yescharacteristic
429C4⋊C8D4×C15111yescharacteristic
430C4⋊C8D4×C15111yescharacteristic
431C4⋊C8D4×C15111yescharacteristic
432#104—22no—
433#104—22no—
434#103C2×C4×C15111yescharacteristic
435#103C2×C4×C15111yescharacteristic
436#103C2×C4×C15111yescharacteristic
437#103C2×C4×C15111yescharacteristic
438#102C2×C4×C15111yescharacteristic
439#102C2×C4×C15111yescharacteristic
440#102C2×C4×C15111yescharacteristic
441#102C2×C4×C15111yescharacteristic
442C22⋊C8—21no—
443C22⋊C8—21no—
444C22⋊C8—21no—
445C22⋊C8—21no—
446#97—21no—
447#97—21no—
448#97—21no—
449#97—21no—
450#97—22no—
451#97—21no—
452C4×C8—21no—
453C4×C8—21no—
454C4×C8—21no—
455C4×C8—21no—
456C4×C8—22no—
457C4×C8—21no—
458#95—21no—
459#95—21no—
460#41—21no—
461#41—21no—
462#41—21no—
463#41—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8C22×C4×C15111yescharacteristic
467C2×D4—21no—
468C2×D4C22×C4×C15111yescharacteristic
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4#41×C15111yescharacteristic
475C22×C4#41×C15111yescharacteristic
476C22×C4C24×C15111yescharacteristic
477M16—21no—
478M16—21no—
479M16—21no—
480M16—21no—
481M16—21no—
482M16—21no—
483M16—21no—
484M16#41×C15112yes—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8C22×C4×C15111yescharacteristic
498C2×C8C22×C4×C15111yescharacteristic
499C2×C8C22×C4×C15111yescharacteristic
500C2×C8C22×C4×C15111yescharacteristic
501C2×C8C2×D4×C15111yescharacteristic
502C2×C8C2×D4×C15111yescharacteristic
503C2×C8C2×D4×C15111yescharacteristic
504C2×C8C2×D4×C15111yescharacteristic
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4C22×C4×C15111yescharacteristic
514C4⋊C4C22×C4×C15111yescharacteristic
515C4⋊C4C22×C4×C15111yescharacteristic
516C4⋊C4C22×C4×C15111yescharacteristic
517C4⋊C4C22×C4×C15111yescharacteristic
518C4⋊C4C22×C4×C15111yescharacteristic
519C22⋊C4—21no—
520C22⋊C4—21no—
521C22⋊C4—21no—
522C22⋊C4—21no—
523C22⋊C4—21no—
524C42—21no—
525C42—21no—
526C42—21no—
527C42—21no—
528C42—21no—
529C42—21no—
530C42—21no—
531C42—21no—
532C42C22×C4×C15111yescharacteristic
533C42C22×C4×C15111yescharacteristic
534C42C2×D4×C15111yescharacteristic
535C42C2×D4×C15111yescharacteristic
536C42#41×C15112yes—
537C23—21no—
538C23C2×#41×C15111yescharacteristic
539Q8—21no—
540Q8—21no—
541Q8—42no—
542Q8—81no—
543D4—21no—
544D4—21no—
545D4—41no—
546D4—41no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—22no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—42no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—81no—
566C2×C4C4×D4×C15111yescharacteristic
567C2×C4C4×D4×C15111yescharacteristic
568C2×C4C4×D4×C15111yescharacteristic
569C2×C4C4×D4×C15111yescharacteristic
570C2×C4C23×C4×C15111yescharacteristic
571C2×C4C22×D4×C15111yescharacteristic
572C2×C4C2×#41×C15111yescharacteristic
573C2×C4C2×#41×C15111yescharacteristic
574C2×C42−1+4×C15111yescharacteristic
575C2×C42−1+4×C15111yescharacteristic
576C8—21no—
577C8—21no—
578C8—21no—
579C8—21no—
580C8—21no—
581C8—21no—
582C8—21no—
583C8—21no—
584C8—22no—
585C8—41no—
586C8—41no—
587C8—41no—
588C22—21no—
589C22—21no—
590C22—41no—
591C22—41no—
592C22—41no—
593C22C2×C4×D4×C15111yescharacteristic
594C22#552×C15111yescharacteristic
595C22#556×C15111yescharacteristic
596C4—21no—
597C4—21no—
598C4—21no—
599C4—21no—
600C4—42no—
601C4—41no—
602C4—41no—
603C4—41no—
604C4—41no—
605C4—41no—
606C4—41no—
607C4—41no—
608C4—81no—
609C4C4×#41×C15111yescharacteristic
610C4#519×C15111yescharacteristic
611C4#547×C15111yescharacteristic
612C4#548×C15111yescharacteristic
613C2—21no—
614C2—21no—
615C2—81no—
616C2#2362×C15111yescharacteristic
617C2#2955×C15111yescharacteristic
618C2#2957×C15111yescharacteristic
subgroupG/H
centerC2×C4×C151C22×D4
commutatorC2×C4C23×C4×C151
Frattini, cosocleC22×C4C24×C151
socleC22×C151C2×C4×D4
prime radicalC2×#41×C151C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C151 ◁ C2×C4⋊C8×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. #2962×C151C2semidirect
4. #1995×C151C2semidirect
5. #1950×C151C2semidirect
10. #1922×C151C2semidirect
11. #1922×C151C2semidirect
12. #1773×C151C2semidirect
13. #1772×C151C2semidirect
14. #1768×C151C2semidirect
18. #479×C151C4semidirect
19. #479×C151C4semidirect
20. #478×C151C4semidirect
21. #478×C151C4semidirect
22. #477×C151C4semidirect
23. #476×C151C4semidirect
24. #475×C151C4semidirect
25. #474×C151C4semidirect
309. #23082C151direct (N × H)
310. C151#23082direct (N × H)
312. #2962C2×C151semidirect
314. #1995C2×C151semidirect
315. #1950C2×C151semidirect
320. #1922C2×C151semidirect
321. #1922C2×C151semidirect
322. #1773C2×C151semidirect
323. #1772C2×C151semidirect
324. #1768C2×C151semidirect
328. #479C4×C151semidirect
329. #479C4×C151semidirect
330. #478C4×C151semidirect
331. #478C4×C151semidirect
332. #477C4×C151semidirect
333. #476C4×C151semidirect
334. #475C4×C151semidirect
335. #474C4×C151semidirect

Maximal subgroups

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

subgroupindex
#3076×C1512
#2962×C1512
#2925×C1512
#1995×C1512
#1950×C1512
#1938×C1512
#1937×C1512
#1929×C1512
#1922×C1512
#1773×C1512
#1772×C1512
#1768×C1512
#1759×C1512
#23082151