Finite Group Databasebeta

← C151×#18472 #50323397

Subgroups — C151×#18472 #50323397

Order 38656.

846 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3564×C151C211yesmaximal, characteristic
2#3238×C151C211yesmaximal, characteristic, complemented
3#3229×C151C211yesmaximal, characteristic, complemented
4#2821×C151C211yesmaximal, characteristic, complemented
5#1612×C151C212yesmaximal
6#1611×C151C212yesmaximal, complemented
7#1609×C151C212yesmaximal, complemented
8#1608×C151C212yesmaximal, complemented
9#1521×C151C211yesmaximal, characteristic, complemented
10#1515×C151C211yesmaximal, characteristic, complemented
11#1473×C151C211yesmaximal, characteristic, complemented
12#563×C151—21no—
13#563×C151—21no—
14#556×C151—21no—
15#554×C151—21no—
16#552×C151—21no—
17#552×C151—21no—
18#551×C151—21no—
19#551×C151—21no—
20#544×C151C2211yescharacteristic
21#543×C151C2211yescharacteristic
22#542×C151—21no—
23#541×C151—21no—
24#541×C151—21no—
25#539×C151—21no—
26#539×C151C2211yescharacteristic
27#538×C151C2211yescharacteristic
28#533×C151C2211yescharacteristic
29C2×C4⋊Q8×C151C2211yescharacteristic
30#529×C151C2211yescharacteristic
31C2×#126×C151C2211yescharacteristic
32#501×C151—21no—
33#498×C151—21no—
34#489×C151—21no—
35#487×C151—21no—
36#483×C151C2212yes—
37#483×C151C2212yes—
38#483×C151C2212yes—
39#480×C151C2212yes—
40#477×C151—21no—
41#476×C151—21no—
42#475×C151—21no—
43#475×C151—21no—
44#432×C151C2211yescharacteristic
45#431×C151C2211yescharacteristic
46#400×C151—21no—
47#399×C151—21no—
48#398×C151C2212yes—
49#397×C151C2212yes—
50#395×C151—21no—
51#393×C151—21no—
52#383×C151C2211yescharacteristic
53#328×C151C2212yes—
54#328×C151C2212yes—
55#328×C151C2212yes—
56#327×C151C2212yes—
57#324×C151C2212yes—
58#323×C151C2212yes—
59C22×Q8×C151—21no—
60C4⋊Q8×C151—21no—
61C4⋊Q8×C151—21no—
62C4⋊Q8×C151—21no—
63C4⋊Q8×C151—21no—
64C4⋊Q8×C151—21no—
65C4⋊Q8×C151—21no—
66C4⋊Q8×C151—21no—
67C4⋊Q8×C151D411yescharacteristic
68C4⋊Q8×C151D411yescharacteristic
69#126×C151—21no—
70#126×C151—21no—
71#126×C151—21no—
72#126×C151—21no—
73#126×C151—21no—
74#126×C151—21no—
75#126×C151—21no—
76#126×C151—21no—
77#126×C151—21no—
78#126×C151—21no—
79#126×C151—21no—
80#126×C151—21no—
81#126×C151—21no—
82#125×C151—21no—
83#125×C151—21no—
84#125×C151—21no—
85#125×C151—21no—
86#125×C151—21no—
87#125×C151—21no—
88#125×C151—21no—
89#125×C151—21no—
90#125×C151—21no—
91#125×C151D411yescharacteristic
92#124×C151—21no—
93#124×C151—21no—
94#124×C151—21no—
95#124×C151D411yescharacteristic
96#123×C151—21no—
97#123×C151—21no—
98#123×C151—21no—
99#123×C151—21no—
100#123×C151—21no—
101#123×C151—21no—
102#123×C151—21no—
103#123×C151—21no—
104C22⋊Q8×C151—21no—
105C22⋊Q8×C151—21no—
106C22⋊Q8×C151—21no—
107C22⋊Q8×C151—21no—
108C22⋊Q8×C151—21no—
109C22⋊Q8×C151—21no—
110C22⋊Q8×C151—21no—
111C22⋊Q8×C151—21no—
112C22⋊Q8×C151—21no—
113C22⋊Q8×C151—21no—
114C22⋊Q8×C151—21no—
115C22⋊Q8×C151—21no—
116C22⋊Q8×C151—21no—
117C22⋊Q8×C151—21no—
118C22⋊Q8×C151C2311yescharacteristic
119C22⋊Q8×C151C2311yescharacteristic
120C22⋊Q8×C151C2311yescharacteristic
121#121×C151—21no—
122#121×C151C2311yescharacteristic
123#120×C151—21no—
124C4×Q8×C151—21no—
125C4×Q8×C151—21no—
126C4×Q8×C151—21no—
127C4×Q8×C151D411yescharacteristic
128C4×Q8×C151D411yescharacteristic
129C4×Q8×C151D411yescharacteristic
130C4×D4×C151—21no—
131C4×D4×C151—21no—
132C4×D4×C151—21no—
133C4×D4×C151—21no—
134C4×D4×C151—21no—
135C4×D4×C151D411yescharacteristic
136#117×C151—21no—
137#117×C151—21no—
138#117×C151—21no—
139#117×C151—21no—
140#117×C151—21no—
141#117×C151—21no—
142C2×C4⋊C4×C151—21no—
143C2×C4⋊C4×C151—21no—
144C2×C4⋊C4×C151—22no—
145C2×C4⋊C4×C151D411yescharacteristic
146C2×C4⋊C4×C151D411yescharacteristic
147C2×C4⋊C4×C151C2312yes—
148C2×C4⋊C4×C151C2311yescharacteristic
149C2×C22⋊C4×C151—21no—
150C2×C22⋊C4×C151—22no—
151C2×C22⋊C4×C151D411yescharacteristic
152C2×C22⋊C4×C151D411yescharacteristic
153C2×C22⋊C4×C151C2311yescharacteristic
154C2×C42×C151C2311yescharacteristic
155#107×C151—22no—
156#106×C151—22no—
157#106×C151—22no—
158#106×C151—22no—
159C4⋊C8×C151—21no—
160C4⋊C8×C151—21no—
161#103×C151—22no—
162#103×C151—22no—
163#103×C151—22no—
164#102×C151—22no—
165C22⋊C8×C151C2312yes—
166C22⋊C8×C151C2312yes—
167#97×C151—21no—
168C4×C8×C151—21no—
169#95×C151—21no—
170#95×C151—21no—
171#95×C151—22no—
172#95×C151—22no—
173#95×C151C2312yes—
174C24×C151C2×D411yescharacteristic
175C2×Q8×C151—21no—
176C2×Q8×C151—21no—
177C2×Q8×C151—21no—
178C2×Q8×C151—41no—
179C2×Q8×C151—41no—
180C2×Q8×C151—82no—
181C2×Q8×C151C2×D411yescharacteristic
182C2×Q8×C151C2×D411yescharacteristic
183C2×Q8×C151C2×D411yescharacteristic
184C2×D4×C151—21no—
185C2×D4×C151—21no—
186C2×D4×C151—21no—
187C2×D4×C151C2×D411yescharacteristic
188C22×C4×C151—21no—
189C22×C4×C151—21no—
190C22×C4×C151—21no—
191C22×C4×C151—21no—
192C22×C4×C151—21no—
193C22×C4×C151—22no—
194C22×C4×C151—22no—
195C22×C4×C151C2×D411yescharacteristic
196C22×C4×C151C2×D411yescharacteristic
197C22×C4×C151C2×D411yescharacteristic
198C22×C4×C151C2×D411yescharacteristic
199C22×C4×C151C2×D411yescharacteristic
200C22×C4×C151C2411yescharacteristic
201C2×C8×C151—22no—
202C2×C8×C151—22no—
203C4⋊C4×C151—21no—
204C4⋊C4×C151—21no—
205C4⋊C4×C151—21no—
206C4⋊C4×C151—21no—
207C4⋊C4×C151—21no—
208C4⋊C4×C151—21no—
209C4⋊C4×C151—21no—
210C4⋊C4×C151—21no—
211C4⋊C4×C151—21no—
212C4⋊C4×C151—21no—
213C4⋊C4×C151—21no—
214C4⋊C4×C151—21no—
215C4⋊C4×C151—21no—
216C4⋊C4×C151—21no—
217C4⋊C4×C151—21no—
218C4⋊C4×C151—21no—
219C4⋊C4×C151—21no—
220C4⋊C4×C151—21no—
221C4⋊C4×C151—21no—
222C4⋊C4×C151—21no—
223C4⋊C4×C151—21no—
224C4⋊C4×C151—21no—
225C4⋊C4×C151—21no—
226C4⋊C4×C151—21no—
227C4⋊C4×C151—21no—
228C4⋊C4×C151—21no—
229C4⋊C4×C151—21no—
230C4⋊C4×C151—21no—
231C4⋊C4×C151—21no—
232C4⋊C4×C151—22no—
233C4⋊C4×C151—22no—
234C4⋊C4×C151—41no—
235C4⋊C4×C151—41no—
236C4⋊C4×C151—82no—
237C4⋊C4×C151C2×D411yescharacteristic
238C4⋊C4×C151C2×D411yescharacteristic
239C4⋊C4×C151C2×D411yescharacteristic
240C4⋊C4×C151C2×D411yescharacteristic
241C22⋊C4×C151—21no—
242C22⋊C4×C151—21no—
243C22⋊C4×C151—21no—
244C22⋊C4×C151—21no—
245C22⋊C4×C151—21no—
246C22⋊C4×C151—21no—
247C22⋊C4×C151—21no—
248C22⋊C4×C151—21no—
249C22⋊C4×C151—21no—
250C22⋊C4×C151—21no—
251C22⋊C4×C151—21no—
252C22⋊C4×C151—21no—
253C22⋊C4×C151—21no—
254C22⋊C4×C151—21no—
255C22⋊C4×C151—21no—
256C22⋊C4×C151—21no—
257C22⋊C4×C151—21no—
258C22⋊C4×C151—21no—
259C22⋊C4×C151—21no—
260C22⋊C4×C151—21no—
261C22⋊C4×C151—21no—
262C22⋊C4×C151—82no—
263C42×C151—21no—
264C42×C151—21no—
265C42×C151—21no—
266C42×C151—21no—
267C42×C151—21no—
268C42×C151—21no—
269C42×C151—21no—
270C42×C151C2×D411yescharacteristic
271C42×C151C2×D411yescharacteristic
272C42×C151C2×D411yescharacteristic
273C42×C151C2×D411yescharacteristic
274C23×C151—21no—
275C23×C151—21no—
276C23×C151—22no—
277C23×C151—41no—
278C23×C151—41no—
279C23×C151C22×D411yescharacteristic
280Q8×C151—41no—
281Q8×C151—41no—
282Q8×C151—41no—
283Q8×C151—81no—
284Q8×C151—82no—
285Q8×C151—82no—
286Q8×C151—81no—
287Q8×C151—81no—
288D4×C151—41no—
289D4×C151—42no—
290D4×C151—81no—
291D4×C151—81no—
292C2×C4×C151—22no—
293C2×C4×C151—21no—
294C2×C4×C151—21no—
295C2×C4×C151—21no—
296C2×C4×C151—21no—
297C2×C4×C151—21no—
298C2×C4×C151—21no—
299C2×C4×C151—21no—
300C2×C4×C151—21no—
301C2×C4×C151—21no—
302C2×C4×C151—21no—
303C2×C4×C151—22no—
304C2×C4×C151—41no—
305C2×C4×C151—41no—
306C2×C4×C151—41no—
307C2×C4×C151—41no—
308C2×C4×C151—42no—
309C2×C4×C151—42no—
310C2×C4×C151—42no—
311C2×C4×C151—42no—
312C2×C4×C151—42no—
313C2×C4×C151—42no—
314C2×C4×C151—81no—
315C2×C4×C151—81no—
316C2×C4×C151—81no—
317C2×C4×C151—81no—
318C2×C4×C151—81no—
319C2×C4×C151#12011yescharacteristic
320C2×C4×C151#12011yescharacteristic
321C2×C4×C151#12011yescharacteristic
322C2×C4×C151#12011yescharacteristic
323C2×C4×C151C22×D411yescharacteristic
324C2×C4×C151C22×D411yescharacteristic
325C8×C151—42no—
326C8×C151—42no—
327C22×C151—21no—
328C22×C151—21no—
329C22×C151—41no—
330C22×C151—41no—
331C22×C151—41no—
332C22×C151—41no—
333C22×C151—41no—
334C22×C151—41no—
335C22×C151—82no—
336C22×C151C2×#12011yescharacteristic
337C22×C151#57712yes—
338C4×C151—21no—
339C4×C151—21no—
340C4×C151—21no—
341C4×C151—21no—
342C4×C151—21no—
343C4×C151—21no—
344C4×C151—41no—
345C4×C151—41no—
346C4×C151—41no—
347C4×C151—41no—
348C4×C151—41no—
349C4×C151—41no—
350C4×C151—41no—
351C4×C151—41no—
352C4×C151—41no—
353C4×C151—41no—
354C4×C151—82no—
355C4×C151—82no—
356C2×C151—22no—
357C2×C151—81no—
358C2×C151—81no—
359C2×C151#301011yescharacteristic
360C2×C151#302211yescharacteristic
361C2×C151#302811yescharacteristic
362#18472C15111yesmaximal, characteristic, direct product factor, Sylow
363C151#1847211yescharacteristic, direct product factor, Sylow
364#3564C2×C15111yescharacteristic
365#3238C2×C15111yescharacteristic, complemented
366#3229C2×C15111yescharacteristic, complemented
367#2821C2×C15111yescharacteristic, complemented
368#1612C2×C15112yes—
369#1611C2×C15112yescomplemented
370#1609C2×C15112yescomplemented
371#1608C2×C15112yescomplemented
372#1521C2×C15111yescharacteristic, complemented
373#1515C2×C15111yescharacteristic, complemented
374#1473C2×C15111yescharacteristic, complemented
375#563—21no—
376#563—21no—
377#556—21no—
378#554—21no—
379#552—21no—
380#552—21no—
381#551—21no—
382#551—21no—
383#544C22×C15111yescharacteristic
384#543C22×C15111yescharacteristic
385#542—21no—
386#541—21no—
387#541—21no—
388#539—21no—
389#539C22×C15111yescharacteristic
390#538C22×C15111yescharacteristic
391#533C22×C15111yescharacteristic
392C2×C4⋊Q8C22×C15111yescharacteristic
393#529C22×C15111yescharacteristic
394C2×#126C22×C15111yescharacteristic
395#501—21no—
396#498—21no—
397#489—21no—
398#487—21no—
399#483C22×C15112yes—
400#483C22×C15112yes—
401#483C22×C15112yes—
402#480C22×C15112yes—
403#477—21no—
404#476—21no—
405#475—21no—
406#475—21no—
407#432C22×C15111yescharacteristic
408#431C22×C15111yescharacteristic
409#400—21no—
410#399—21no—
411#398C22×C15112yes—
412#397C22×C15112yes—
413#395—21no—
414#393—21no—
415#383C22×C15111yescharacteristic
416#328C22×C15112yes—
417#328C22×C15112yes—
418#328C22×C15112yes—
419#327C22×C15112yes—
420#324C22×C15112yes—
421#323C22×C15112yes—
422C22×Q8—21no—
423C4⋊Q8—21no—
424C4⋊Q8—21no—
425C4⋊Q8—21no—
426C4⋊Q8—21no—
427C4⋊Q8—21no—
428C4⋊Q8—21no—
429C4⋊Q8—21no—
430C4⋊Q8D4×C15111yescharacteristic
431C4⋊Q8D4×C15111yescharacteristic
432#126—21no—
433#126—21no—
434#126—21no—
435#126—21no—
436#126—21no—
437#126—21no—
438#126—21no—
439#126—21no—
440#126—21no—
441#126—21no—
442#126—21no—
443#126—21no—
444#126—21no—
445#125—21no—
446#125—21no—
447#125—21no—
448#125—21no—
449#125—21no—
450#125—21no—
451#125—21no—
452#125—21no—
453#125—21no—
454#125D4×C15111yescharacteristic
455#124—21no—
456#124—21no—
457#124—21no—
458#124D4×C15111yescharacteristic
459#123—21no—
460#123—21no—
461#123—21no—
462#123—21no—
463#123—21no—
464#123—21no—
465#123—21no—
466#123—21no—
467C22⋊Q8—21no—
468C22⋊Q8—21no—
469C22⋊Q8—21no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—21no—
475C22⋊Q8—21no—
476C22⋊Q8—21no—
477C22⋊Q8—21no—
478C22⋊Q8—21no—
479C22⋊Q8—21no—
480C22⋊Q8—21no—
481C22⋊Q8C23×C15111yescharacteristic
482C22⋊Q8C23×C15111yescharacteristic
483C22⋊Q8C23×C15111yescharacteristic
484#121—21no—
485#121C23×C15111yescharacteristic
486#120—21no—
487C4×Q8—21no—
488C4×Q8—21no—
489C4×Q8—21no—
490C4×Q8D4×C15111yescharacteristic
491C4×Q8D4×C15111yescharacteristic
492C4×Q8D4×C15111yescharacteristic
493C4×D4—21no—
494C4×D4—21no—
495C4×D4—21no—
496C4×D4—21no—
497C4×D4—21no—
498C4×D4D4×C15111yescharacteristic
499#117—21no—
500#117—21no—
501#117—21no—
502#117—21no—
503#117—21no—
504#117—21no—
505C2×C4⋊C4—21no—
506C2×C4⋊C4—21no—
507C2×C4⋊C4—22no—
508C2×C4⋊C4D4×C15111yescharacteristic
509C2×C4⋊C4D4×C15111yescharacteristic
510C2×C4⋊C4C23×C15112yes—
511C2×C4⋊C4C23×C15111yescharacteristic
512C2×C22⋊C4—21no—
513C2×C22⋊C4—22no—
514C2×C22⋊C4D4×C15111yescharacteristic
515C2×C22⋊C4D4×C15111yescharacteristic
516C2×C22⋊C4C23×C15111yescharacteristic
517C2×C42C23×C15111yescharacteristic
518#107—22no—
519#106—22no—
520#106—22no—
521#106—22no—
522C4⋊C8—21no—
523C4⋊C8—21no—
524#103—22no—
525#103—22no—
526#103—22no—
527#102—22no—
528C22⋊C8C23×C15112yes—
529C22⋊C8C23×C15112yes—
530#97—21no—
531C4×C8—21no—
532#95—21no—
533#95—21no—
534#95—22no—
535#95—22no—
536#95C23×C15112yes—
537C24C2×D4×C15111yescharacteristic
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—41no—
542C2×Q8—41no—
543C2×Q8—82no—
544C2×Q8C2×D4×C15111yescharacteristic
545C2×Q8C2×D4×C15111yescharacteristic
546C2×Q8C2×D4×C15111yescharacteristic
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4C2×D4×C15111yescharacteristic
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—22no—
557C22×C4—22no—
558C22×C4C2×D4×C15111yescharacteristic
559C22×C4C2×D4×C15111yescharacteristic
560C22×C4C2×D4×C15111yescharacteristic
561C22×C4C2×D4×C15111yescharacteristic
562C22×C4C2×D4×C15111yescharacteristic
563C22×C4C24×C15111yescharacteristic
564C2×C8—22no—
565C2×C8—22no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—22no—
596C4⋊C4—22no—
597C4⋊C4—41no—
598C4⋊C4—41no—
599C4⋊C4—82no—
600C4⋊C4C2×D4×C15111yescharacteristic
601C4⋊C4C2×D4×C15111yescharacteristic
602C4⋊C4C2×D4×C15111yescharacteristic
603C4⋊C4C2×D4×C15111yescharacteristic
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—21no—
621C22⋊C4—21no—
622C22⋊C4—21no—
623C22⋊C4—21no—
624C22⋊C4—21no—
625C22⋊C4—82no—
626C42—21no—
627C42—21no—
628C42—21no—
629C42—21no—
630C42—21no—
631C42—21no—
632C42—21no—
633C42C2×D4×C15111yescharacteristic
634C42C2×D4×C15111yescharacteristic
635C42C2×D4×C15111yescharacteristic
636C42C2×D4×C15111yescharacteristic
637C23—21no—
638C23—21no—
639C23—22no—
640C23—41no—
641C23—41no—
642C23C22×D4×C15111yescharacteristic
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—81no—
647Q8—82no—
648Q8—82no—
649Q8—81no—
650Q8—81no—
651D4—41no—
652D4—42no—
653D4—81no—
654D4—81no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—81no—
678C2×C4—81no—
679C2×C4—81no—
680C2×C4—81no—
681C2×C4—81no—
682C2×C4#120×C15111yescharacteristic
683C2×C4#120×C15111yescharacteristic
684C2×C4#120×C15111yescharacteristic
685C2×C4#120×C15111yescharacteristic
686C2×C4C22×D4×C15111yescharacteristic
687C2×C4C22×D4×C15111yescharacteristic
688C8—42no—
689C8—42no—
690C22—21no—
691C22—21no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—82no—
699C22C2×#120×C15111yescharacteristic
700C22#577×C15112yes—
701C4—21no—
702C4—21no—
703C4—21no—
704C4—21no—
705C4—21no—
706C4—21no—
707C4—41no—
708C4—41no—
709C4—41no—
710C4—41no—
711C4—41no—
712C4—41no—
713C4—41no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—82no—
718C4—82no—
719C2—22no—
720C2—81no—
721C2—81no—
722C2#3010×C15111yescharacteristic
723C2#3022×C15111yescharacteristic
724C2#3028×C15111yescharacteristic
subgroupG/H
center, socleC22×C151C2×#120
commutator, Frattini, cosocleC22×C4C24×C151
prime radical#538×C151C22
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C151 ◁ C2×C42×C151 ◁ G

Complements

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

NH ≅ G/Ntype
2. #3238×C151C2semidirect
3. #3229×C151C2semidirect
4. #2821×C151C2semidirect
6. #1611×C151C2semidirect
7. #1609×C151C2semidirect
8. #1608×C151C2semidirect
9. #1521×C151C2semidirect
10. #1515×C151C2semidirect
11. #1473×C151C2semidirect
362. #18472C151direct (N × H)
363. C151#18472direct (N × H)
365. #3238C2×C151semidirect
366. #3229C2×C151semidirect
367. #2821C2×C151semidirect
369. #1611C2×C151semidirect
370. #1609C2×C151semidirect
371. #1608C2×C151semidirect
372. #1521C2×C151semidirect
373. #1515C2×C151semidirect
374. #1473C2×C151semidirect

Maximal subgroups

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

subgroupindex
#3564×C1512
#3238×C1512
#3229×C1512
#2821×C1512
#1612×C1512
#1611×C1512
#1609×C1512
#1608×C1512
#1521×C1512
#1515×C1512
#1473×C1512
#18472151