Finite Group Databasebeta

← C151×#24688 #50329613

Subgroups — C151×#24688 #50329613

Order 38656.

856 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#478×C151C211yesmaximal, characteristic, complemented
2C2×#442×C151C211yesmaximal, characteristic
3#2566×C151C211yesmaximal, characteristic, complemented
4#2354×C151C211yesmaximal, characteristic, complemented
5#2073×C151C211yesmaximal, characteristic, complemented
6#2071×C151C211yesmaximal, characteristic, complemented
7#2054×C151C211yesmaximal, characteristic
8#2054×C151C211yesmaximal, characteristic
9#1992×C151C211yesmaximal, characteristic, complemented
10#1949×C151C211yesmaximal, characteristic, complemented
11#1948×C151C211yesmaximal, characteristic, complemented
12#1940×C151C211yesmaximal, characteristic, complemented
13#1926×C151C211yesmaximal, characteristic, complemented
14#1925×C151C211yesmaximal, characteristic, complemented
15#1802×C151C211yesmaximal, characteristic, complemented
16C22×D8×C151C2211yescharacteristic
17C2×#125×C151C2211yescharacteristic
18C2×C4×D4×C151C2211yescharacteristic
19C2×C4×D4×C151C2211yescharacteristic
20C2×#117×C151—21no—
21#478×C151—24no—
22#442×C151—24no—
23C2×#107×C151C2211yescharacteristic
24C2×#106×C151C2211yescharacteristic
25C2×#106×C151C2211yescharacteristic
26C2×C4⋊C8×C151C2211yescharacteristic
27C2×C4⋊C8×C151C2211yescharacteristic
28C2×C4⋊C8×C151C2211yescharacteristic
29C2×#102×C151C2211yescharacteristic
30C2×#102×C151C2211yescharacteristic
31C2×#102×C151C2211yescharacteristic
32C2×#102×C151C2211yescharacteristic
33C2×#102×C151C2211yescharacteristic
34C2×#102×C151C2211yescharacteristic
35C2×#97×C151C2211yescharacteristic
36#396×C151—21no—
37#396×C151—21no—
38#390×C151C2211yescharacteristic
39#390×C151C2211yescharacteristic
40#390×C151C2211yescharacteristic
41#390×C151C2211yescharacteristic
42#388×C151—21no—
43#388×C151—21no—
44#385×C151—21no—
45#385×C151—21no—
46#384×C151C2211yescharacteristic
47#384×C151C2211yescharacteristic
48#382×C151C2211yescharacteristic
49#380×C151—21no—
50C4×C4⋊C4×C151C2211yescharacteristic
51C4×C4⋊C4×C151C2211yescharacteristic
52C4×C4⋊C4×C151C2211yescharacteristic
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—
65C2×D8×C151—22no—
66C2×D8×C151—22no—
67C2×D8×C151—22no—
68C22×C8×C151C2311yescharacteristic
69C22×C8×C151C2311yescharacteristic
70C22×C8×C151C2311yescharacteristic
71C22×C8×C151C2311yescharacteristic
72#125×C151—22no—
73#125×C151—22no—
74C4×D4×C151—22no—
75C4×D4×C151—22no—
76C4×D4×C151—22no—
77C4×D4×C151D414yes—
78#117×C151—44no—
79C2×C4⋊C4×C151—21no—
80C2×C4⋊C4×C151—21no—
81C2×C4⋊C4×C151—21no—
82C2×C4⋊C4×C151—21no—
83C2×C4⋊C4×C151—21no—
84C2×C4⋊C4×C151—21no—
85C2×C4⋊C4×C151D411yescharacteristic
86C2×C4⋊C4×C151D411yescharacteristic
87C2×C4⋊C4×C151C2311yescharacteristic
88C2×C4⋊C4×C151C2311yescharacteristic
89C2×C4⋊C4×C151C2311yescharacteristic
90C2×C4⋊C4×C151C2311yescharacteristic
91C2×C4⋊C4×C151C2311yescharacteristic
92C2×C4⋊C4×C151C2311yescharacteristic
93C2×C22⋊C4×C151—21no—
94C2×C22⋊C4×C151—21no—
95C2×C22⋊C4×C151—21no—
96C2×C22⋊C4×C151—21no—
97C2×C22⋊C4×C151—21no—
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×C42×C151—21no—
104C2×C42×C151—21no—
105C2×C42×C151C2311yescharacteristic
106C2×C42×C151C2311yescharacteristic
107C2×C42×C151C2311yescharacteristic
108#107×C151—22no—
109#106×C151—22no—
110#106×C151—22no—
111C4⋊C8×C151—22no—
112C4⋊C8×C151—22no—
113C4⋊C8×C151—22no—
114#102×C151—22no—
115#102×C151—22no—
116#102×C151—22no—
117#102×C151—22no—
118#102×C151—22no—
119#102×C151—22no—
120#97×C151—22no—
121#95×C151—21no—
122#95×C151—21no—
123#95×C151—21no—
124#95×C151—21no—
125#95×C151D411yescharacteristic
126#95×C151D411yescharacteristic
127C24×C151—21no—
128C24×C151—21no—
129C2×D4×C151—21no—
130C2×D4×C151—21no—
131C2×D4×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×C151C2×D412yes—
140C2×D4×C151#4112yes—
141C22×C4×C151—21no—
142C22×C4×C151—24no—
143C22×C4×C151—21no—
144C22×C4×C151—21no—
145C22×C4×C151—21no—
146C22×C4×C151—21no—
147C22×C4×C151—21no—
148C22×C4×C151—42no—
149C22×C4×C151—42no—
150C22×C4×C151—42no—
151C22×C4×C151—81no—
152C22×C4×C151—81no—
153C22×C4×C151C2×D411yescharacteristic
154C22×C4×C151C2×D411yescharacteristic
155C22×C4×C151C2×D411yescharacteristic
156C22×C4×C151C2×D411yescharacteristic
157C22×C4×C151C2×D411yescharacteristic
158C22×C4×C151C2×D411yescharacteristic
159C22×C4×C151C2411yescharacteristic
160D8×C151—28no—
161C2×C8×C151—21no—
162C2×C8×C151—21no—
163C2×C8×C151—21no—
164C2×C8×C151—21no—
165C2×C8×C151—21no—
166C2×C8×C151—21no—
167C2×C8×C151—21no—
168C2×C8×C151—21no—
169C2×C8×C151—21no—
170C2×C8×C151—21no—
171C2×C8×C151—21no—
172C2×C8×C151#4112yes—
173C4⋊C4×C151—22no—
174C4⋊C4×C151—21no—
175C4⋊C4×C151—21no—
176C4⋊C4×C151—21no—
177C4⋊C4×C151—21no—
178C4⋊C4×C151—21no—
179C4⋊C4×C151—21no—
180C4⋊C4×C151—21no—
181C4⋊C4×C151—21no—
182C4⋊C4×C151—21no—
183C4⋊C4×C151—21no—
184C4⋊C4×C151—21no—
185C4⋊C4×C151—41no—
186C4⋊C4×C151—42no—
187C4⋊C4×C151—42no—
188C4⋊C4×C151—42no—
189C4⋊C4×C151—81no—
190C4⋊C4×C151—81no—
191C4⋊C4×C151—81no—
192C4⋊C4×C151C2×D412yes—
193C22⋊C4×C151—24no—
194C22⋊C4×C151—42no—
195C22⋊C4×C151—42no—
196C22⋊C4×C151—42no—
197C22⋊C4×C151—42no—
198C22⋊C4×C151—42no—
199C22⋊C4×C151—81no—
200C22⋊C4×C151—81no—
201C22⋊C4×C151—81no—
202C22⋊C4×C151—81no—
203C42×C151—21no—
204C42×C151—21no—
205C42×C151—21no—
206C42×C151—21no—
207C42×C151—42no—
208C42×C151—42no—
209C42×C151C2×D412yes—
210C42×C151#4112yes—
211C23×C151—22no—
212C23×C151—22no—
213C23×C151—41no—
214C23×C151—41no—
215C23×C151—41no—
216C23×C151—41no—
217C23×C151—41no—
218C23×C151—41no—
219C23×C151—41no—
220C23×C151—41no—
221C23×C151—41no—
222C23×C151—41no—
223C23×C151—41no—
224C23×C151—41no—
225C23×C151C22×D411yescharacteristic
226D4×C151—22no—
227D4×C151—22no—
228D4×C151—22no—
229D4×C151—22no—
230D4×C151—41no—
231D4×C151—41no—
232D4×C151—41no—
233D4×C151—41no—
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—22no—
241C2×C4×C151—21no—
242C2×C4×C151—21no—
243C2×C4×C151—21no—
244C2×C4×C151—21no—
245C2×C4×C151—21no—
246C2×C4×C151—21no—
247C2×C4×C151—21no—
248C2×C4×C151—21no—
249C2×C4×C151—21no—
250C2×C4×C151—48no—
251C2×C4×C151—41no—
252C2×C4×C151—41no—
253C2×C4×C151—41no—
254C2×C4×C151—41no—
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—84no—
269C2×C4×C151#12112yes—
270C2×C4×C151#12112yes—
271C2×C4×C151AGL(1,ℤ/8)12yes—
272C2×C4×C151C22×D411yescharacteristic
273C2×C4×C151C2×#4111yescharacteristic
274C2×C4×C151C2×#4111yescharacteristic
275C2×C4×C151C2×#4111yescharacteristic
276C2×C4×C1512−1+411yescharacteristic
277C2×C4×C1512−1+411yescharacteristic
278C8×C151—22no—
279C8×C151—41no—
280C8×C151—41no—
281C8×C151—41no—
282C22×C151—42no—
283C22×C151—42no—
284C22×C151—42no—
285C22×C151—42no—
286C22×C151—42no—
287C22×C151—42no—
288C22×C151—81no—
289C22×C151—81no—
290C22×C151—81no—
291C22×C151—81no—
292C22×C151—81no—
293C22×C151—81no—
294C22×C151—81no—
295C22×C151—81no—
296C22×C151C2×#12111yescharacteristic
297C22×C151#54711yescharacteristic
298C22×C151#54811yescharacteristic
299C22×C151C2×AGL(1,ℤ/8)11yescharacteristic
300C22×C151#57511yescharacteristic
301C22×C151#57611yescharacteristic
302C22×C151#57711yescharacteristic
303C4×C151—22no—
304C4×C151—22no—
305C4×C151—22no—
306C4×C151—41no—
307C4×C151—41no—
308C4×C151—41no—
309C4×C151—42no—
310C4×C151—81no—
311C4×C151—81no—
312C4×C151—81no—
313C4×C151—81no—
314C4×C151—81no—
315C4×C151#52511yescharacteristic
316C4×C151#53611yescharacteristic
317C4×C151#55211yescharacteristic
318C4×C151#55611yescharacteristic
319C2×C151—82no—
320C2×C151—82no—
321C2×C151#241511yescharacteristic
322C2×C151#303611yescharacteristic
323C2×C151#304511yescharacteristic
324C2×C151#334511yescharacteristic
325C2×C151#334711yescharacteristic
326C2×C151#336611yescharacteristic
327C2×C151#337611yescharacteristic
328#24688C15111yesmaximal, characteristic, direct product factor, Sylow
329C151#2468811yescharacteristic, direct product factor, Sylow
330C2×#478C2×C15111yescharacteristic, complemented
331C2×#442C2×C15111yescharacteristic
332#2566C2×C15111yescharacteristic, complemented
333#2354C2×C15111yescharacteristic, complemented
334#2073C2×C15111yescharacteristic, complemented
335#2071C2×C15111yescharacteristic, complemented
336#2054C2×C15111yescharacteristic
337#2054C2×C15111yescharacteristic
338#1992C2×C15111yescharacteristic, complemented
339#1949C2×C15111yescharacteristic, complemented
340#1948C2×C15111yescharacteristic, complemented
341#1940C2×C15111yescharacteristic, complemented
342#1926C2×C15111yescharacteristic, complemented
343#1925C2×C15111yescharacteristic, complemented
344#1802C2×C15111yescharacteristic, complemented
345C22×D8C22×C15111yescharacteristic
346C2×#125C22×C15111yescharacteristic
347C2×C4×D4C22×C15111yescharacteristic
348C2×C4×D4C22×C15111yescharacteristic
349C2×#117—21no—
350#478—24no—
351#442—24no—
352C2×#107C22×C15111yescharacteristic
353C2×#106C22×C15111yescharacteristic
354C2×#106C22×C15111yescharacteristic
355C2×C4⋊C8C22×C15111yescharacteristic
356C2×C4⋊C8C22×C15111yescharacteristic
357C2×C4⋊C8C22×C15111yescharacteristic
358C2×#102C22×C15111yescharacteristic
359C2×#102C22×C15111yescharacteristic
360C2×#102C22×C15111yescharacteristic
361C2×#102C22×C15111yescharacteristic
362C2×#102C22×C15111yescharacteristic
363C2×#102C22×C15111yescharacteristic
364C2×#97C22×C15111yescharacteristic
365#396—21no—
366#396—21no—
367#390C22×C15111yescharacteristic
368#390C22×C15111yescharacteristic
369#390C22×C15111yescharacteristic
370#390C22×C15111yescharacteristic
371#388—21no—
372#388—21no—
373#385—21no—
374#385—21no—
375#384C22×C15111yescharacteristic
376#384C22×C15111yescharacteristic
377#382C22×C15111yescharacteristic
378#380—21no—
379C4×C4⋊C4C22×C15111yescharacteristic
380C4×C4⋊C4C22×C15111yescharacteristic
381C4×C4⋊C4C22×C15111yescharacteristic
382#340C22×C15111yescharacteristic
383#340C22×C15111yescharacteristic
384#340C22×C15111yescharacteristic
385#340C22×C15111yescharacteristic
386#340C22×C15111yescharacteristic
387#340C22×C15111yescharacteristic
388#336C22×C15111yescharacteristic
389#336C22×C15111yescharacteristic
390C22×D4C23×C15111yescharacteristic
391C22×D4C23×C15111yescharacteristic
392C23×C4—21no—
393C23×C4—21no—
394C2×D8—22no—
395C2×D8—22no—
396C2×D8—22no—
397C22×C8C23×C15111yescharacteristic
398C22×C8C23×C15111yescharacteristic
399C22×C8C23×C15111yescharacteristic
400C22×C8C23×C15111yescharacteristic
401#125—22no—
402#125—22no—
403C4×D4—22no—
404C4×D4—22no—
405C4×D4—22no—
406C4×D4D4×C15114yes—
407#117—44no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4D4×C15111yescharacteristic
415C2×C4⋊C4D4×C15111yescharacteristic
416C2×C4⋊C4C23×C15111yescharacteristic
417C2×C4⋊C4C23×C15111yescharacteristic
418C2×C4⋊C4C23×C15111yescharacteristic
419C2×C4⋊C4C23×C15111yescharacteristic
420C2×C4⋊C4C23×C15111yescharacteristic
421C2×C4⋊C4C23×C15111yescharacteristic
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C42—21no—
433C2×C42—21no—
434C2×C42C23×C15111yescharacteristic
435C2×C42C23×C15111yescharacteristic
436C2×C42C23×C15111yescharacteristic
437#107—22no—
438#106—22no—
439#106—22no—
440C4⋊C8—22no—
441C4⋊C8—22no—
442C4⋊C8—22no—
443#102—22no—
444#102—22no—
445#102—22no—
446#102—22no—
447#102—22no—
448#102—22no—
449#97—22no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95D4×C15111yescharacteristic
455#95D4×C15111yescharacteristic
456C24—21no—
457C24—21no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4C2×D4×C15112yes—
469C2×D4#41×C15112yes—
470C22×C4—21no—
471C22×C4—24no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—81no—
481C22×C4—81no—
482C22×C4C2×D4×C15111yescharacteristic
483C22×C4C2×D4×C15111yescharacteristic
484C22×C4C2×D4×C15111yescharacteristic
485C22×C4C2×D4×C15111yescharacteristic
486C22×C4C2×D4×C15111yescharacteristic
487C22×C4C2×D4×C15111yescharacteristic
488C22×C4C24×C15111yescharacteristic
489D8—28no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8#41×C15112yes—
502C4⋊C4—22no—
503C4⋊C4—21no—
504C4⋊C4—21no—
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⋊C4—21no—
514C4⋊C4—41no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4—42no—
518C4⋊C4—81no—
519C4⋊C4—81no—
520C4⋊C4—81no—
521C4⋊C4C2×D4×C15112yes—
522C22⋊C4—24no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—81no—
529C22⋊C4—81no—
530C22⋊C4—81no—
531C22⋊C4—81no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—21no—
536C42—42no—
537C42—42no—
538C42C2×D4×C15112yes—
539C42#41×C15112yes—
540C23—22no—
541C23—22no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23C22×D4×C15111yescharacteristic
555D4—22no—
556D4—22no—
557D4—22no—
558D4—22no—
559D4—41no—
560D4—41no—
561D4—41no—
562D4—41no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—22no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—48no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—84no—
598C2×C4#121×C15112yes—
599C2×C4#121×C15112yes—
600C2×C4AGL(1,ℤ/8)×C15112yes—
601C2×C4C22×D4×C15111yescharacteristic
602C2×C4C2×#41×C15111yescharacteristic
603C2×C4C2×#41×C15111yescharacteristic
604C2×C4C2×#41×C15111yescharacteristic
605C2×C42−1+4×C15111yescharacteristic
606C2×C42−1+4×C15111yescharacteristic
607C8—22no—
608C8—41no—
609C8—41no—
610C8—41no—
611C22—42no—
612C22—42no—
613C22—42no—
614C22—42no—
615C22—42no—
616C22—42no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22C2×#121×C15111yescharacteristic
626C22#547×C15111yescharacteristic
627C22#548×C15111yescharacteristic
628C22C2×AGL(1,ℤ/8)×C15111yescharacteristic
629C22#575×C15111yescharacteristic
630C22#576×C15111yescharacteristic
631C22#577×C15111yescharacteristic
632C4—22no—
633C4—22no—
634C4—22no—
635C4—42no—
636C4—41no—
637C4—41no—
638C4—41no—
639C4—81no—
640C4—81no—
641C4—81no—
642C4—81no—
643C4—81no—
644C4#525×C15111yescharacteristic
645C4#536×C15111yescharacteristic
646C4#552×C15111yescharacteristic
647C4#556×C15111yescharacteristic
648C2—82no—
649C2—82no—
650C2#2415×C15111yescharacteristic
651C2#3036×C15111yescharacteristic
652C2#3045×C15111yescharacteristic
653C2#3345×C15111yescharacteristic
654C2#3347×C15111yescharacteristic
655C2#3366×C15111yescharacteristic
656C2#3376×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. #2354×C151C2semidirect
5. #2073×C151C2semidirect
6. #2071×C151C2semidirect
9. #1992×C151C2semidirect
10. #1949×C151C2semidirect
11. #1948×C151C2semidirect
12. #1940×C151C2semidirect
13. #1926×C151C2semidirect
14. #1925×C151C2semidirect
15. #1802×C151C2semidirect
328. #24688C151direct (N × H)
329. C151#24688direct (N × H)
330. C2×#478C2×C151semidirect
332. #2566C2×C151semidirect
333. #2354C2×C151semidirect
334. #2073C2×C151semidirect
335. #2071C2×C151semidirect
338. #1992C2×C151semidirect
339. #1949C2×C151semidirect
340. #1948C2×C151semidirect
341. #1940C2×C151semidirect
342. #1926C2×C151semidirect
343. #1925C2×C151semidirect
344. #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×#442×C1512
#2566×C1512
#2354×C1512
#2073×C1512
#2071×C1512
#2054×C1512
#1992×C1512
#1949×C1512
#1948×C1512
#1940×C1512
#1926×C1512
#1925×C1512
#1802×C1512
#24688151