Finite Group Databasebeta

← C151×#24984 #50329909

Subgroups — C151×#24984 #50329909

Order 38656.

778 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2538×C151C211yesmaximal, characteristic
2#2352×C151C211yesmaximal, characteristic
3#2076×C151C211yesmaximal, characteristic, complemented
4#2075×C151C211yesmaximal, characteristic, complemented
5#2036×C151C211yesmaximal, characteristic, complemented
6#2036×C151C211yesmaximal, characteristic, complemented
7#1955×C151C211yesmaximal, characteristic
8#1947×C151C211yesmaximal, characteristic, complemented
9#1873×C151C211yesmaximal, characteristic, complemented
10#1872×C151C211yesmaximal, characteristic, complemented
11#1836×C151C211yesmaximal, characteristic, complemented
12#1825×C151C211yesmaximal, characteristic, complemented
13#1823×C151C211yesmaximal, characteristic, complemented
14#1805×C151C211yesmaximal, characteristic, complemented
15#1763×C151C211yesmaximal, characteristic, complemented
16C2×C22⋊Q8×C151C2211yescharacteristic
17C2×C22⋊Q8×C151C2211yescharacteristic
18C2×C4×Q8×C151C2211yescharacteristic
19C2×C4×D4×C151C2211yescharacteristic
20C2×#117×C151C2211yescharacteristic
21C22×C4⋊C4×C151C2211yescharacteristic
22C2×#107×C151C2211yescharacteristic
23C2×#107×C151C2211yescharacteristic
24C2×C4⋊C8×C151C2211yescharacteristic
25C2×#103×C151C2211yescharacteristic
26C2×#103×C151C2211yescharacteristic
27C2×#103×C151C2211yescharacteristic
28C2×#103×C151C2211yescharacteristic
29C2×C22⋊C8×C151C2211yescharacteristic
30C2×C22⋊C8×C151C2211yescharacteristic
31C2×C22⋊C8×C151C2211yescharacteristic
32C2×C22⋊C8×C151C2211yescharacteristic
33C2×#97×C151C2211yescharacteristic
34#396×C151—21no—
35#396×C151—21no—
36#390×C151—21no—
37#389×C151—21no—
38#388×C151—21no—
39#387×C151—21no—
40#386×C151—21no—
41#384×C151C2211yescharacteristic
42#382×C151C2211yescharacteristic
43#380×C151C2211yescharacteristic
44#380×C151C2211yescharacteristic
45#380×C151C2211yescharacteristic
46#380×C151C2211yescharacteristic
47C4×C4⋊C4×C151C2211yescharacteristic
48C4×C22⋊C4×C151—21no—
49#340×C151C2211yescharacteristic
50#340×C151C2211yescharacteristic
51#340×C151C2211yescharacteristic
52#340×C151C2211yescharacteristic
53#340×C151C2211yescharacteristic
54#340×C151C2211yescharacteristic
55#340×C151C2211yescharacteristic
56#340×C151C2211yescharacteristic
57#340×C151C2211yescharacteristic
58#340×C151C2211yescharacteristic
59C22×Q8×C151C2311yescharacteristic
60C22×D4×C151D411yescharacteristic
61C23×C4×C151—21no—
62C23×C4×C151C2311yescharacteristic
63C23×C4×C151C2311yescharacteristic
64C22×C8×C151C2311yescharacteristic
65C22×C8×C151C2311yescharacteristic
66C22×C8×C151C2311yescharacteristic
67C22×C8×C151C2311yescharacteristic
68C22⋊Q8×C151—22no—
69C22⋊Q8×C151—22no—
70C22⋊Q8×C151—41no—
71C22⋊Q8×C151—41no—
72C4×Q8×C151—22no—
73C4×Q8×C151—22no—
74C4×D4×C151—22no—
75C4×D4×C151—22no—
76#117×C151—22no—
77#117×C151—41no—
78C2×C4⋊C4×C151—22no—
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×C151—41no—
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×C4⋊C4×C151C2311yescharacteristic
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×C151D411yescharacteristic
102C2×C22⋊C4×C151D411yescharacteristic
103C2×C42×C151—21no—
104C2×C42×C151—21no—
105C2×C42×C151—21no—
106C2×C42×C151C2311yescharacteristic
107#107×C151—41no—
108#107×C151—41no—
109C4⋊C8×C151—22no—
110#103×C151—22no—
111#103×C151—22no—
112#103×C151—41no—
113#103×C151—41no—
114C22⋊C8×C151—41no—
115C22⋊C8×C151—41no—
116C22⋊C8×C151—41no—
117C22⋊C8×C151—41no—
118#97×C151—22no—
119#95×C151—21no—
120#95×C151—21no—
121#95×C151—21no—
122#95×C151—21no—
123#95×C151—21no—
124#95×C151—21no—
125#95×C151—21no—
126C24×C151C2×D411yescharacteristic
127C24×C151C2×D411yescharacteristic
128C2×Q8×C151—21no—
129C2×Q8×C151—21no—
130C2×Q8×C151—21no—
131C2×Q8×C151—21no—
132C2×Q8×C151—21no—
133C2×Q8×C151#4112yes—
134C2×D4×C151—22no—
135C2×D4×C151—22no—
136C2×D4×C151—41no—
137C22×C4×C151—21no—
138C22×C4×C151—21no—
139C22×C4×C151—21no—
140C22×C4×C151—21no—
141C22×C4×C151—21no—
142C22×C4×C151—21no—
143C22×C4×C151—21no—
144C22×C4×C151—21no—
145C22×C4×C151—21no—
146C22×C4×C151—21no—
147C22×C4×C151—21no—
148C22×C4×C151—21no—
149C22×C4×C151—21no—
150C22×C4×C151—21no—
151C22×C4×C151—21no—
152C22×C4×C151—21no—
153C22×C4×C151—21no—
154C22×C4×C151—21no—
155C22×C4×C151—21no—
156C22×C4×C151—21no—
157C22×C4×C151—42no—
158C22×C4×C151—42no—
159C22×C4×C151—81no—
160C22×C4×C151C2×D411yescharacteristic
161C22×C4×C151C2×D411yescharacteristic
162C22×C4×C151C2×D411yescharacteristic
163C22×C4×C151C2×D411yescharacteristic
164C22×C4×C151C2411yescharacteristic
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—21no—
173C2×C8×C151—21no—
174C2×C8×C151—21no—
175C2×C8×C151—21no—
176C2×C8×C151—21no—
177C4⋊C4×C151—22no—
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—21no—
186C4⋊C4×C151—21no—
187C4⋊C4×C151—21no—
188C4⋊C4×C151—21no—
189C4⋊C4×C151—21no—
190C4⋊C4×C151—21no—
191C4⋊C4×C151—42no—
192C4⋊C4×C151—42no—
193C4⋊C4×C151—42no—
194C4⋊C4×C151—42no—
195C4⋊C4×C151—42no—
196C4⋊C4×C151—81no—
197C4⋊C4×C151#4112yes—
198C22⋊C4×C151—22no—
199C22⋊C4×C151—22no—
200C22⋊C4×C151—42no—
201C22⋊C4×C151—42no—
202C22⋊C4×C151—42no—
203C22⋊C4×C151—42no—
204C22⋊C4×C151—81no—
205C22⋊C4×C151—81no—
206C22⋊C4×C151—81no—
207C42×C151—42no—
208C42×C151—42no—
209C42×C151—81no—
210C42×C151#4112yes—
211C42×C151#4112yes—
212C23×C151—21no—
213C23×C151—21no—
214C23×C151—21no—
215C23×C151—21no—
216C23×C151—21no—
217C23×C151—21no—
218C23×C151—21no—
219C23×C151—21no—
220C23×C151—21no—
221C23×C151—21no—
222C23×C151—21no—
223C23×C151—21no—
224C23×C151—21no—
225C23×C151#13712yes—
226C23×C151C22×D411yescharacteristic
227Q8×C151—22no—
228Q8×C151—22no—
229Q8×C151—41no—
230Q8×C151—41no—
231D4×C151—44no—
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—22no—
239C2×C4×C151—21no—
240C2×C4×C151—22no—
241C2×C4×C151—21no—
242C2×C4×C151—21no—
243C2×C4×C151—21no—
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—41no—
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—41no—
269C2×C4×C151—41no—
270C2×C4×C151—41no—
271C2×C4×C151—41no—
272C2×C4×C151—41no—
273C2×C4×C151—41no—
274C2×C4×C151—84no—
275C2×C4×C151#12312yes—
276C2×C4×C151#12312yes—
277C2×C4×C151C2×#4111yescharacteristic
278C2×C4×C151C2×#4111yescharacteristic
279C2×C4×C151C2×#4111yescharacteristic
280C2×C4×C151C2×#4111yescharacteristic
281C2×C4×C151H(5,𝔽2)11yescharacteristic
282C2×C4×C151H(5,𝔽2)11yescharacteristic
283C8×C151—41no—
284C8×C151—41no—
285C8×C151—41no—
286C8×C151—41no—
287C22×C151—22no—
288C22×C151—22no—
289C22×C151—22no—
290C22×C151—41no—
291C22×C151—41no—
292C22×C151—41no—
293C22×C151—41no—
294C22×C151—41no—
295C22×C151—41no—
296C22×C151—41no—
297C22×C151—41no—
298C22×C151—41no—
299C22×C151—41no—
300C22×C151—41no—
301C22×C151C2×#12311yescharacteristic
302C22×C151#54611yescharacteristic
303C22×C151#54611yescharacteristic
304C22×C151C2×#13711yescharacteristic
305C22×C151#57511yescharacteristic
306C22×C151#57611yescharacteristic
307C22×C151#57811yescharacteristic
308C4×C151—22no—
309C4×C151—22no—
310C4×C151—41no—
311C4×C151—41no—
312C4×C151—42no—
313C4×C151—42no—
314C4×C151—81no—
315C4×C151—81no—
316C4×C151—81no—
317C4×C151—81no—
318C4×C151—81no—
319C4×C151—81no—
320C4×C151#52911yescharacteristic
321C4×C151#54011yescharacteristic
322C4×C151#55311yescharacteristic
323C4×C151#55511yescharacteristic
324C2×C151—42no—
325C2×C151—81no—
326C2×C151#242011yescharacteristic
327C2×C151#309511yescharacteristic
328C2×C151#309811yescharacteristic
329C2×C151#330911yescharacteristic
330C2×C151#331211yescharacteristic
331C2×C151#331311yescharacteristic
332C2×C151#331411yescharacteristic
333#24984C15111yesmaximal, characteristic, direct product factor, Sylow
334C151#2498411yescharacteristic, direct product factor, Sylow
335#2538C2×C15111yescharacteristic
336#2352C2×C15111yescharacteristic
337#2076C2×C15111yescharacteristic, complemented
338#2075C2×C15111yescharacteristic, complemented
339#2036C2×C15111yescharacteristic, complemented
340#2036C2×C15111yescharacteristic, complemented
341#1955C2×C15111yescharacteristic
342#1947C2×C15111yescharacteristic, complemented
343#1873C2×C15111yescharacteristic, complemented
344#1872C2×C15111yescharacteristic, complemented
345#1836C2×C15111yescharacteristic, complemented
346#1825C2×C15111yescharacteristic, complemented
347#1823C2×C15111yescharacteristic, complemented
348#1805C2×C15111yescharacteristic, complemented
349#1763C2×C15111yescharacteristic, complemented
350C2×C22⋊Q8C22×C15111yescharacteristic
351C2×C22⋊Q8C22×C15111yescharacteristic
352C2×C4×Q8C22×C15111yescharacteristic
353C2×C4×D4C22×C15111yescharacteristic
354C2×#117C22×C15111yescharacteristic
355C22×C4⋊C4C22×C15111yescharacteristic
356C2×#107C22×C15111yescharacteristic
357C2×#107C22×C15111yescharacteristic
358C2×C4⋊C8C22×C15111yescharacteristic
359C2×#103C22×C15111yescharacteristic
360C2×#103C22×C15111yescharacteristic
361C2×#103C22×C15111yescharacteristic
362C2×#103C22×C15111yescharacteristic
363C2×C22⋊C8C22×C15111yescharacteristic
364C2×C22⋊C8C22×C15111yescharacteristic
365C2×C22⋊C8C22×C15111yescharacteristic
366C2×C22⋊C8C22×C15111yescharacteristic
367C2×#97C22×C15111yescharacteristic
368#396—21no—
369#396—21no—
370#390—21no—
371#389—21no—
372#388—21no—
373#387—21no—
374#386—21no—
375#384C22×C15111yescharacteristic
376#382C22×C15111yescharacteristic
377#380C22×C15111yescharacteristic
378#380C22×C15111yescharacteristic
379#380C22×C15111yescharacteristic
380#380C22×C15111yescharacteristic
381C4×C4⋊C4C22×C15111yescharacteristic
382C4×C22⋊C4—21no—
383#340C22×C15111yescharacteristic
384#340C22×C15111yescharacteristic
385#340C22×C15111yescharacteristic
386#340C22×C15111yescharacteristic
387#340C22×C15111yescharacteristic
388#340C22×C15111yescharacteristic
389#340C22×C15111yescharacteristic
390#340C22×C15111yescharacteristic
391#340C22×C15111yescharacteristic
392#340C22×C15111yescharacteristic
393C22×Q8C23×C15111yescharacteristic
394C22×D4D4×C15111yescharacteristic
395C23×C4—21no—
396C23×C4C23×C15111yescharacteristic
397C23×C4C23×C15111yescharacteristic
398C22×C8C23×C15111yescharacteristic
399C22×C8C23×C15111yescharacteristic
400C22×C8C23×C15111yescharacteristic
401C22×C8C23×C15111yescharacteristic
402C22⋊Q8—22no—
403C22⋊Q8—22no—
404C22⋊Q8—41no—
405C22⋊Q8—41no—
406C4×Q8—22no—
407C4×Q8—22no—
408C4×D4—22no—
409C4×D4—22no—
410#117—22no—
411#117—41no—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—41no—
420C2×C4⋊C4D4×C15111yescharacteristic
421C2×C4⋊C4C23×C15111yescharacteristic
422C2×C4⋊C4C23×C15111yescharacteristic
423C2×C4⋊C4C23×C15111yescharacteristic
424C2×C4⋊C4C23×C15111yescharacteristic
425C2×C4⋊C4C23×C15111yescharacteristic
426C2×C4⋊C4C23×C15111yescharacteristic
427C2×C4⋊C4C23×C15111yescharacteristic
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4D4×C15111yescharacteristic
436C2×C22⋊C4D4×C15111yescharacteristic
437C2×C42—21no—
438C2×C42—21no—
439C2×C42—21no—
440C2×C42C23×C15111yescharacteristic
441#107—41no—
442#107—41no—
443C4⋊C8—22no—
444#103—22no—
445#103—22no—
446#103—41no—
447#103—41no—
448C22⋊C8—41no—
449C22⋊C8—41no—
450C22⋊C8—41no—
451C22⋊C8—41no—
452#97—22no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460C24C2×D4×C15111yescharacteristic
461C24C2×D4×C15111yescharacteristic
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8#41×C15112yes—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—41no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—81no—
494C22×C4C2×D4×C15111yescharacteristic
495C22×C4C2×D4×C15111yescharacteristic
496C22×C4C2×D4×C15111yescharacteristic
497C22×C4C2×D4×C15111yescharacteristic
498C22×C4C24×C15111yescharacteristic
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C4⋊C4—22no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—81no—
531C4⋊C4#41×C15112yes—
532C22⋊C4—22no—
533C22⋊C4—22no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—81no—
539C22⋊C4—81no—
540C22⋊C4—81no—
541C42—42no—
542C42—42no—
543C42—81no—
544C42#41×C15112yes—
545C42#41×C15112yes—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23#137×C15112yes—
560C23C22×D4×C15111yescharacteristic
561Q8—22no—
562Q8—22no—
563Q8—41no—
564Q8—41no—
565D4—44no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—41no—
579C2×C4—41no—
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—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#123×C15112yes—
610C2×C4#123×C15112yes—
611C2×C4C2×#41×C15111yescharacteristic
612C2×C4C2×#41×C15111yescharacteristic
613C2×C4C2×#41×C15111yescharacteristic
614C2×C4C2×#41×C15111yescharacteristic
615C2×C4H(5,𝔽2)×C15111yescharacteristic
616C2×C4H(5,𝔽2)×C15111yescharacteristic
617C8—41no—
618C8—41no—
619C8—41no—
620C8—41no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22C2×#123×C15111yescharacteristic
636C22#546×C15111yescharacteristic
637C22#546×C15111yescharacteristic
638C22C2×#137×C15111yescharacteristic
639C22#575×C15111yescharacteristic
640C22#576×C15111yescharacteristic
641C22#578×C15111yescharacteristic
642C4—22no—
643C4—22no—
644C4—41no—
645C4—41no—
646C4—42no—
647C4—42no—
648C4—81no—
649C4—81no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4#529×C15111yescharacteristic
655C4#540×C15111yescharacteristic
656C4#553×C15111yescharacteristic
657C4#555×C15111yescharacteristic
658C2—42no—
659C2—81no—
660C2#2420×C15111yescharacteristic
661C2#3095×C15111yescharacteristic
662C2#3098×C15111yescharacteristic
663C2#3309×C15111yescharacteristic
664C2#3312×C15111yescharacteristic
665C2#3313×C15111yescharacteristic
666C2#3314×C15111yescharacteristic
subgroupG/H
center, socleC23×C151C22×D4
commutator, Frattini, cosocleC22×C4C24×C151
prime radicalC22×D4×C151D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C151 ◁ C2×C4×D4×C151 ◁ G

Complements

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

NH ≅ G/Ntype
3. #2076×C151C2semidirect
4. #2075×C151C2semidirect
5. #2036×C151C2semidirect
6. #2036×C151C2semidirect
8. #1947×C151C2semidirect
9. #1873×C151C2semidirect
10. #1872×C151C2semidirect
11. #1836×C151C2semidirect
12. #1825×C151C2semidirect
13. #1823×C151C2semidirect
14. #1805×C151C2semidirect
15. #1763×C151C2semidirect
333. #24984C151direct (N × H)
334. C151#24984direct (N × H)
337. #2076C2×C151semidirect
338. #2075C2×C151semidirect
339. #2036C2×C151semidirect
340. #2036C2×C151semidirect
342. #1947C2×C151semidirect
343. #1873C2×C151semidirect
344. #1872C2×C151semidirect
345. #1836C2×C151semidirect
346. #1825C2×C151semidirect
347. #1823C2×C151semidirect
348. #1805C2×C151semidirect
349. #1763C2×C151semidirect

Maximal subgroups

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

subgroupindex
#2538×C1512
#2352×C1512
#2076×C1512
#2075×C1512
#2036×C1512
#1955×C1512
#1947×C1512
#1873×C1512
#1872×C1512
#1836×C1512
#1825×C1512
#1823×C1512
#1805×C1512
#1763×C1512
#24984151