Finite Group Databasebeta

← C151×#24820 #50329745

Subgroups — C151×#24820 #50329745

Order 38656.

898 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#478×C151C211yesmaximal, characteristic, complemented
2C2×C4×D8×C151C211yesmaximal, characteristic
3#2566×C151C211yesmaximal, characteristic, complemented
4#2349×C151C211yesmaximal, characteristic, complemented
5#2085×C151C211yesmaximal, characteristic, complemented
6#2083×C151C211yesmaximal, characteristic, complemented
7#2067×C151C211yesmaximal, characteristic, complemented
8#2065×C151C211yesmaximal, characteristic, complemented
9#1991×C151C211yesmaximal, characteristic, complemented
10#1939×C151C211yesmaximal, characteristic, complemented
11#1879×C151C211yesmaximal, characteristic
12#1879×C151C211yesmaximal, characteristic
13#1804×C151C211yesmaximal, characteristic, complemented
14#1804×C151C211yesmaximal, characteristic, complemented
15#1802×C151C211yesmaximal, characteristic, complemented
16C22×D8×C151C2211yescharacteristic
17C2×#125×C151C2211yescharacteristic
18C2×C4×D4×C151C2211yescharacteristic
19C2×C4×D4×C151C2211yescharacteristic
20C2×C4×D4×C151C2211yescharacteristic
21C2×C4×D4×C151C2211yescharacteristic
22#478×C151—24no—
23C4×D8×C151—24no—
24C2×#107×C151C2211yescharacteristic
25C2×#107×C151C2211yescharacteristic
26C2×#106×C151C2211yescharacteristic
27C2×C4⋊C8×C151C2211yescharacteristic
28C2×C4⋊C8×C151C2211yescharacteristic
29C2×C4⋊C8×C151C2211yescharacteristic
30C2×#102×C151C2211yescharacteristic
31C2×#102×C151C2211yescharacteristic
32C2×#102×C151C2211yescharacteristic
33C2×#102×C151C2211yescharacteristic
34C2×#102×C151C2211yescharacteristic
35C2×#102×C151C2211yescharacteristic
36C2×C4×C8×C151C2211yescharacteristic
37#396×C151—21no—
38#396×C151—21no—
39#390×C151C2211yescharacteristic
40#390×C151C2211yescharacteristic
41#389×C151C2211yescharacteristic
42#389×C151C2211yescharacteristic
43#385×C151—21no—
44#385×C151—21no—
45#385×C151—21no—
46#385×C151—21no—
47#384×C151C2211yescharacteristic
48#382×C151C2211yescharacteristic
49#382×C151C2211yescharacteristic
50#380×C151—21no—
51C4×C4⋊C4×C151C2211yescharacteristic
52C2×#95×C151—21no—
53#340×C151C2211yescharacteristic
54#340×C151C2211yescharacteristic
55#340×C151C2211yescharacteristic
56#340×C151C2211yescharacteristic
57#340×C151C2211yescharacteristic
58#340×C151C2211yescharacteristic
59#336×C151C2211yescharacteristic
60#336×C151C2211yescharacteristic
61C22×D4×C151C2311yescharacteristic
62C22×D4×C151C2311yescharacteristic
63C23×C4×C151—21no—
64C23×C4×C151—21no—
65C23×C4×C151—21no—
66C23×C4×C151—21no—
67C2×D8×C151—22no—
68C2×D8×C151—22no—
69C2×D8×C151Q814yes—
70C22×C8×C151C2311yescharacteristic
71C22×C8×C151C2311yescharacteristic
72C22×C8×C151C2311yescharacteristic
73C22×C8×C151C2311yescharacteristic
74#125×C151—22no—
75#125×C151—22no—
76C4×D4×C151—22no—
77C4×D4×C151—22no—
78C4×D4×C151—22no—
79C4×D4×C151—22no—
80C4×D4×C151—22no—
81C4×D4×C151—41no—
82C4×D4×C151—41no—
83C4×D4×C151D414yes—
84C2×C4⋊C4×C151—21no—
85C2×C4⋊C4×C151—21no—
86C2×C4⋊C4×C151—21no—
87C2×C4⋊C4×C151—21no—
88C2×C4⋊C4×C151—21no—
89C2×C4⋊C4×C151—21no—
90C2×C4⋊C4×C151D411yescharacteristic
91C2×C4⋊C4×C151D411yescharacteristic
92C2×C4⋊C4×C151C2311yescharacteristic
93C2×C4⋊C4×C151C2311yescharacteristic
94C2×C4⋊C4×C151C2311yescharacteristic
95C2×C4⋊C4×C151C2311yescharacteristic
96C2×C4⋊C4×C151C2311yescharacteristic
97C2×C4⋊C4×C151C2311yescharacteristic
98C2×C22⋊C4×C151—21no—
99C2×C22⋊C4×C151—21no—
100C2×C22⋊C4×C151—21no—
101C2×C22⋊C4×C151—21no—
102C2×C22⋊C4×C151—21no—
103C2×C22⋊C4×C151—21no—
104C2×C22⋊C4×C151—21no—
105C2×C22⋊C4×C151—21no—
106C2×C42×C151C2311yescharacteristic
107C2×C42×C151C2311yescharacteristic
108C2×C42×C151C2311yescharacteristic
109#107×C151—22no—
110#107×C151—22no—
111#106×C151—22no—
112C4⋊C8×C151—22no—
113C4⋊C8×C151—41no—
114C4⋊C8×C151—41no—
115#102×C151—22no—
116#102×C151—22no—
117#102×C151—22no—
118#102×C151—22no—
119#102×C151—41no—
120#102×C151—41no—
121C4×C8×C151—22no—
122#95×C151—21no—
123#95×C151—21no—
124#95×C151—21no—
125#95×C151—21no—
126#95×C151—21no—
127#95×C151—21no—
128#95×C151D411yescharacteristic
129#95×C151D411yescharacteristic
130C24×C151—21no—
131C24×C151—21no—
132C2×D4×C151—21no—
133C2×D4×C151—21no—
134C2×D4×C151—21no—
135C2×D4×C151—21no—
136C2×D4×C151—21no—
137C2×D4×C151—21no—
138C2×D4×C151—21no—
139C2×D4×C151—21no—
140C2×D4×C151C2×D412yes—
141C2×D4×C151C2×Q812yes—
142C2×D4×C151C2×Q812yes—
143C2×D4×C151#4112yes—
144C22×C4×C151—21no—
145C22×C4×C151—24no—
146C22×C4×C151—21no—
147C22×C4×C151—21no—
148C22×C4×C151—21no—
149C22×C4×C151—21no—
150C22×C4×C151—21no—
151C22×C4×C151—42no—
152C22×C4×C151—42no—
153C22×C4×C151—42no—
154C22×C4×C151—42no—
155C22×C4×C151—42no—
156C22×C4×C151—81no—
157C22×C4×C151—81no—
158C22×C4×C151—81no—
159C22×C4×C151—81no—
160C22×C4×C151—81no—
161C22×C4×C151—81no—
162C22×C4×C151C2×D411yescharacteristic
163C22×C4×C151C2×D411yescharacteristic
164C22×C4×C151C2×D411yescharacteristic
165C22×C4×C151C2×D411yescharacteristic
166C22×C4×C151C2×D411yescharacteristic
167C22×C4×C151C2×D411yescharacteristic
168C22×C4×C151C2411yescharacteristic
169D8×C151—28no—
170C2×C8×C151—21no—
171C2×C8×C151—21no—
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—21no—
179C2×C8×C151—21no—
180C2×C8×C151—21no—
181C2×C8×C151C2×Q812yes—
182C4⋊C4×C151—22no—
183C4⋊C4×C151—21no—
184C4⋊C4×C151—21no—
185C4⋊C4×C151—21no—
186C4⋊C4×C151—21no—
187C4⋊C4×C151—21no—
188C4⋊C4×C151—21no—
189C4⋊C4×C151—21no—
190C4⋊C4×C151—21no—
191C4⋊C4×C151—21no—
192C4⋊C4×C151—21no—
193C4⋊C4×C151—21no—
194C4⋊C4×C151—41no—
195C4⋊C4×C151—42no—
196C4⋊C4×C151—42no—
197C4⋊C4×C151—81no—
198C4⋊C4×C151—81no—
199C4⋊C4×C151—81no—
200C4⋊C4×C151—81no—
201C4⋊C4×C151C2×D412yes—
202C22⋊C4×C151—24no—
203C22⋊C4×C151—42no—
204C22⋊C4×C151—42no—
205C22⋊C4×C151—42no—
206C22⋊C4×C151—42no—
207C22⋊C4×C151—42no—
208C22⋊C4×C151—81no—
209C22⋊C4×C151—81no—
210C42×C151—21no—
211C42×C151—21no—
212C42×C151—21no—
213C42×C151—21no—
214C42×C151C2×D412yes—
215C42×C151#4112yes—
216C23×C151—22no—
217C23×C151—22no—
218C23×C151—22no—
219C23×C151—22no—
220C23×C151—41no—
221C23×C151—41no—
222C23×C151—41no—
223C23×C151—41no—
224C23×C151—41no—
225C23×C151—41no—
226C23×C151—41no—
227C23×C151—41no—
228C23×C151—41no—
229C23×C151—41no—
230C23×C151C22×D411yescharacteristic
231D4×C151—22no—
232D4×C151—22no—
233D4×C151—22no—
234D4×C151—22no—
235D4×C151—22no—
236D4×C151—41no—
237D4×C151—41no—
238D4×C151C22⋊Q814yes—
239C2×C4×C151—21no—
240C2×C4×C151—21no—
241C2×C4×C151—21no—
242C2×C4×C151—21no—
243C2×C4×C151—21no—
244C2×C4×C151—21no—
245C2×C4×C151—22no—
246C2×C4×C151—21no—
247C2×C4×C151—21no—
248C2×C4×C151—21no—
249C2×C4×C151—21no—
250C2×C4×C151—21no—
251C2×C4×C151—21no—
252C2×C4×C151—21no—
253C2×C4×C151—21no—
254C2×C4×C151—21no—
255C2×C4×C151—41no—
256C2×C4×C151—41no—
257C2×C4×C151—41no—
258C2×C4×C151—41no—
259C2×C4×C151—41no—
260C2×C4×C151—41no—
261C2×C4×C151—41no—
262C2×C4×C151—41no—
263C2×C4×C151—41no—
264C2×C4×C151—41no—
265C2×C4×C151—41no—
266C2×C4×C151—41no—
267C2×C4×C151—41no—
268C2×C4×C151—41no—
269C2×C4×C151—41no—
270C2×C4×C151—41no—
271C2×C4×C151—41no—
272C2×C4×C151—84no—
273C2×C4×C151—84no—
274C2×C4×C151—84no—
275C2×C4×C151—84no—
276C2×C4×C151#12112yes—
277C2×C4×C151#12112yes—
278C2×C4×C151#13512yes—
279C2×C4×C151C22×D411yescharacteristic
280C2×C4×C151C22×Q811yescharacteristic
281C2×C4×C151C2×#4111yescharacteristic
282C2×C4×C151C2×#4111yescharacteristic
283C2×C4×C151H(5,𝔽2)11yescharacteristic
284C2×C4×C1512−1+411yescharacteristic
285C8×C151—22no—
286C8×C151—41no—
287C8×C151—41no—
288C8×C151—41no—
289C22×C151—24no—
290C22×C151—42no—
291C22×C151—42no—
292C22×C151—42no—
293C22×C151—42no—
294C22×C151—42no—
295C22×C151—42no—
296C22×C151—42no—
297C22×C151—42no—
298C22×C151—42no—
299C22×C151—81no—
300C22×C151—81no—
301C22×C151—81no—
302C22×C151—81no—
303C22×C151C2×#12111yescharacteristic
304C22×C151#54611yescharacteristic
305C22×C151D4×Q811yescharacteristic
306C22×C151C2×#13511yescharacteristic
307C22×C151#57511yescharacteristic
308C22×C151#57611yescharacteristic
309C22×C151#57611yescharacteristic
310C4×C151—22no—
311C4×C151—22no—
312C4×C151—22no—
313C4×C151—42no—
314C4×C151—41no—
315C4×C151—41no—
316C4×C151—41no—
317C4×C151—81no—
318C4×C151—81no—
319C4×C151—81no—
320C4×C151—81no—
321C4×C151—81no—
322C4×C151C2×C22⋊Q811yescharacteristic
323C4×C151#53711yescharacteristic
324C4×C151#55211yescharacteristic
325C4×C151#55411yescharacteristic
326C2×C151—44no—
327C2×C151—82no—
328C2×C151#241711yescharacteristic
329C2×C151#303511yescharacteristic
330C2×C151#304111yescharacteristic
331C2×C151#329711yescharacteristic
332C2×C151#332211yescharacteristic
333C2×C151#338011yescharacteristic
334C2×C151#338911yescharacteristic
335#24820C15111yesmaximal, characteristic, direct product factor, Sylow
336C151#2482011yescharacteristic, direct product factor, Sylow
337C2×#478C2×C15111yescharacteristic, complemented
338C2×C4×D8C2×C15111yescharacteristic
339#2566C2×C15111yescharacteristic, complemented
340#2349C2×C15111yescharacteristic, complemented
341#2085C2×C15111yescharacteristic, complemented
342#2083C2×C15111yescharacteristic, complemented
343#2067C2×C15111yescharacteristic, complemented
344#2065C2×C15111yescharacteristic, complemented
345#1991C2×C15111yescharacteristic, complemented
346#1939C2×C15111yescharacteristic, complemented
347#1879C2×C15111yescharacteristic
348#1879C2×C15111yescharacteristic
349#1804C2×C15111yescharacteristic, complemented
350#1804C2×C15111yescharacteristic, complemented
351#1802C2×C15111yescharacteristic, complemented
352C22×D8C22×C15111yescharacteristic
353C2×#125C22×C15111yescharacteristic
354C2×C4×D4C22×C15111yescharacteristic
355C2×C4×D4C22×C15111yescharacteristic
356C2×C4×D4C22×C15111yescharacteristic
357C2×C4×D4C22×C15111yescharacteristic
358#478—24no—
359C4×D8—24no—
360C2×#107C22×C15111yescharacteristic
361C2×#107C22×C15111yescharacteristic
362C2×#106C22×C15111yescharacteristic
363C2×C4⋊C8C22×C15111yescharacteristic
364C2×C4⋊C8C22×C15111yescharacteristic
365C2×C4⋊C8C22×C15111yescharacteristic
366C2×#102C22×C15111yescharacteristic
367C2×#102C22×C15111yescharacteristic
368C2×#102C22×C15111yescharacteristic
369C2×#102C22×C15111yescharacteristic
370C2×#102C22×C15111yescharacteristic
371C2×#102C22×C15111yescharacteristic
372C2×C4×C8C22×C15111yescharacteristic
373#396—21no—
374#396—21no—
375#390C22×C15111yescharacteristic
376#390C22×C15111yescharacteristic
377#389C22×C15111yescharacteristic
378#389C22×C15111yescharacteristic
379#385—21no—
380#385—21no—
381#385—21no—
382#385—21no—
383#384C22×C15111yescharacteristic
384#382C22×C15111yescharacteristic
385#382C22×C15111yescharacteristic
386#380—21no—
387C4×C4⋊C4C22×C15111yescharacteristic
388C2×#95—21no—
389#340C22×C15111yescharacteristic
390#340C22×C15111yescharacteristic
391#340C22×C15111yescharacteristic
392#340C22×C15111yescharacteristic
393#340C22×C15111yescharacteristic
394#340C22×C15111yescharacteristic
395#336C22×C15111yescharacteristic
396#336C22×C15111yescharacteristic
397C22×D4C23×C15111yescharacteristic
398C22×D4C23×C15111yescharacteristic
399C23×C4—21no—
400C23×C4—21no—
401C23×C4—21no—
402C23×C4—21no—
403C2×D8—22no—
404C2×D8—22no—
405C2×D8Q8×C15114yes—
406C22×C8C23×C15111yescharacteristic
407C22×C8C23×C15111yescharacteristic
408C22×C8C23×C15111yescharacteristic
409C22×C8C23×C15111yescharacteristic
410#125—22no—
411#125—22no—
412C4×D4—22no—
413C4×D4—22no—
414C4×D4—22no—
415C4×D4—22no—
416C4×D4—22no—
417C4×D4—41no—
418C4×D4—41no—
419C4×D4D4×C15114yes—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4D4×C15111yescharacteristic
427C2×C4⋊C4D4×C15111yescharacteristic
428C2×C4⋊C4C23×C15111yescharacteristic
429C2×C4⋊C4C23×C15111yescharacteristic
430C2×C4⋊C4C23×C15111yescharacteristic
431C2×C4⋊C4C23×C15111yescharacteristic
432C2×C4⋊C4C23×C15111yescharacteristic
433C2×C4⋊C4C23×C15111yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C42C23×C15111yescharacteristic
443C2×C42C23×C15111yescharacteristic
444C2×C42C23×C15111yescharacteristic
445#107—22no—
446#107—22no—
447#106—22no—
448C4⋊C8—22no—
449C4⋊C8—41no—
450C4⋊C8—41no—
451#102—22no—
452#102—22no—
453#102—22no—
454#102—22no—
455#102—41no—
456#102—41no—
457C4×C8—22no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95D4×C15111yescharacteristic
465#95D4×C15111yescharacteristic
466C24—21no—
467C24—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4C2×D4×C15112yes—
477C2×D4C2×Q8×C15112yes—
478C2×D4C2×Q8×C15112yes—
479C2×D4#41×C15112yes—
480C22×C4—21no—
481C22×C4—24no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—81no—
493C22×C4—81no—
494C22×C4—81no—
495C22×C4—81no—
496C22×C4—81no—
497C22×C4—81no—
498C22×C4C2×D4×C15111yescharacteristic
499C22×C4C2×D4×C15111yescharacteristic
500C22×C4C2×D4×C15111yescharacteristic
501C22×C4C2×D4×C15111yescharacteristic
502C22×C4C2×D4×C15111yescharacteristic
503C22×C4C2×D4×C15111yescharacteristic
504C22×C4C24×C15111yescharacteristic
505D8—28no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8C2×Q8×C15112yes—
518C4⋊C4—22no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—41no—
531C4⋊C4—42no—
532C4⋊C4—42no—
533C4⋊C4—81no—
534C4⋊C4—81no—
535C4⋊C4—81no—
536C4⋊C4—81no—
537C4⋊C4C2×D4×C15112yes—
538C22⋊C4—24no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—81no—
545C22⋊C4—81no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—21no—
550C42C2×D4×C15112yes—
551C42#41×C15112yes—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—22no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23C22×D4×C15111yescharacteristic
567D4—22no—
568D4—22no—
569D4—22no—
570D4—22no—
571D4—22no—
572D4—41no—
573D4—41no—
574D4C22⋊Q8×C15114yes—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—84no—
609C2×C4—84no—
610C2×C4—84no—
611C2×C4—84no—
612C2×C4#121×C15112yes—
613C2×C4#121×C15112yes—
614C2×C4#135×C15112yes—
615C2×C4C22×D4×C15111yescharacteristic
616C2×C4C22×Q8×C15111yescharacteristic
617C2×C4C2×#41×C15111yescharacteristic
618C2×C4C2×#41×C15111yescharacteristic
619C2×C4H(5,𝔽2)×C15111yescharacteristic
620C2×C42−1+4×C15111yescharacteristic
621C8—22no—
622C8—41no—
623C8—41no—
624C8—41no—
625C22—24no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22C2×#121×C15111yescharacteristic
640C22#546×C15111yescharacteristic
641C22D4×Q8×C15111yescharacteristic
642C22C2×#135×C15111yescharacteristic
643C22#575×C15111yescharacteristic
644C22#576×C15111yescharacteristic
645C22#576×C15111yescharacteristic
646C4—22no—
647C4—22no—
648C4—22no—
649C4—42no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4C2×C22⋊Q8×C15111yescharacteristic
659C4#537×C15111yescharacteristic
660C4#552×C15111yescharacteristic
661C4#554×C15111yescharacteristic
662C2—44no—
663C2—82no—
664C2#2417×C15111yescharacteristic
665C2#3035×C15111yescharacteristic
666C2#3041×C15111yescharacteristic
667C2#3297×C15111yescharacteristic
668C2#3322×C15111yescharacteristic
669C2#3380×C15111yescharacteristic
670C2#3389×C15111yescharacteristic
subgroupG/H
center, socleC23×C151C22×D4
commutator, Frattini, cosocleC22×C4C24×C151
prime radicalC22×D8×C151C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C151 ◁ C4×C4⋊C4×C151 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#478×C151C2semidirect
3. #2566×C151C2semidirect
4. #2349×C151C2semidirect
5. #2085×C151C2semidirect
6. #2083×C151C2semidirect
7. #2067×C151C2semidirect
8. #2065×C151C2semidirect
9. #1991×C151C2semidirect
10. #1939×C151C2semidirect
13. #1804×C151C2semidirect
14. #1804×C151C2semidirect
15. #1802×C151C2semidirect
335. #24820C151direct (N × H)
336. C151#24820direct (N × H)
337. C2×#478C2×C151semidirect
339. #2566C2×C151semidirect
340. #2349C2×C151semidirect
341. #2085C2×C151semidirect
342. #2083C2×C151semidirect
343. #2067C2×C151semidirect
344. #2065C2×C151semidirect
345. #1991C2×C151semidirect
346. #1939C2×C151semidirect
349. #1804C2×C151semidirect
350. #1804C2×C151semidirect
351. #1802C2×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#478×C1512
C2×C4×D8×C1512
#2566×C1512
#2349×C1512
#2085×C1512
#2083×C1512
#2067×C1512
#2065×C1512
#1991×C1512
#1939×C1512
#1879×C1512
#1804×C1512
#1802×C1512
#24820151