Finite Group Databasebeta

← C151×#24514 #50329439

Subgroups — C151×#24514 #50329439

Order 38656.

896 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#451×C151C211yesmaximal, characteristic
2C2×#433×C151C211yesmaximal, characteristic
3#2625×C151C211yesmaximal, characteristic
4#2310×C151C211yesmaximal, characteristic
5#2068×C151C211yesmaximal, characteristic, complemented
6#2066×C151C211yesmaximal, characteristic, complemented
7#2056×C151C211yesmaximal, characteristic, complemented
8#2056×C151C211yesmaximal, characteristic, complemented
9#1971×C151C211yesmaximal, characteristic, complemented
10#1969×C151C211yesmaximal, characteristic, complemented
11#1935×C151C211yesmaximal, characteristic, complemented
12#1933×C151C211yesmaximal, characteristic, complemented
13#1873×C151C211yesmaximal, characteristic
14#1854×C151C211yesmaximal, characteristic
15#1787×C151C211yesmaximal, characteristic
16C23×Q8×C151C2211yescharacteristic
17C22×Q16×C151C2211yescharacteristic
18C22×Q16×C151C2211yescharacteristic
19C2×C22⋊Q8×C151C2211yescharacteristic
20C2×#117×C151C2211yescharacteristic
21C2×#117×C151C2211yescharacteristic
22#451×C151—24no—
23#433×C151—24no—
24C2×#107×C151C2211yescharacteristic
25C2×#106×C151C2211yescharacteristic
26C2×C4⋊C8×C151C2211yescharacteristic
27C2×C4⋊C8×C151C2211yescharacteristic
28C2×#103×C151C2211yescharacteristic
29C2×#103×C151C2211yescharacteristic
30C2×#103×C151C2211yescharacteristic
31C2×#103×C151C2211yescharacteristic
32C2×#103×C151C2211yescharacteristic
33C2×#103×C151C2211yescharacteristic
34C2×#103×C151C2211yescharacteristic
35C2×#103×C151C2211yescharacteristic
36C2×C22⋊C8×C151C2211yescharacteristic
37C2×C22⋊C8×C151C2211yescharacteristic
38C2×#97×C151C2211yescharacteristic
39C2×C4×C8×C151C2211yescharacteristic
40#400×C151—21no—
41#398×C151—21no—
42#397×C151—21no—
43#397×C151—21no—
44#391×C151—21no—
45#391×C151—21no—
46#391×C151C2211yescharacteristic
47#391×C151C2211yescharacteristic
48#391×C151C2211yescharacteristic
49#391×C151C2211yescharacteristic
50#391×C151C2211yescharacteristic
51#391×C151C2211yescharacteristic
52#389×C151C2211yescharacteristic
53#389×C151C2211yescharacteristic
54#381×C151—21no—
55#381×C151—21no—
56#380×C151C2211yescharacteristic
57#340×C151C2211yescharacteristic
58#340×C151C2211yescharacteristic
59#340×C151C2211yescharacteristic
60#340×C151C2211yescharacteristic
61C22×Q8×C151—21no—
62C22×Q8×C151—22no—
63C22×Q8×C151—22no—
64C22×Q8×C151—22no—
65C22×Q8×C151—22no—
66C22×Q8×C151—41no—
67C22×Q8×C151—41no—
68C22×Q8×C151C2311yescharacteristic
69C22×Q8×C151C2311yescharacteristic
70C22×Q8×C151C2311yescharacteristic
71C23×C4×C151—21no—
72C23×C4×C151C2311yescharacteristic
73C2×Q16×C151—22no—
74C2×Q16×C151—22no—
75C2×Q16×C151—22no—
76C2×Q16×C151—22no—
77C2×Q16×C151—41no—
78C2×Q16×C151—41no—
79C22×C8×C151C2311yescharacteristic
80C22×C8×C151C2311yescharacteristic
81C22×C8×C151C2311yescharacteristic
82C22×C8×C151C2311yescharacteristic
83C22⋊Q8×C151—22no—
84C22⋊Q8×C151—22no—
85#117×C151—22no—
86#117×C151—22no—
87#117×C151—41no—
88#117×C151—41no—
89C2×C4⋊C4×C151—21no—
90C2×C4⋊C4×C151—21no—
91C2×C4⋊C4×C151—21no—
92C2×C4⋊C4×C151D411yescharacteristic
93C2×C4⋊C4×C151D411yescharacteristic
94C2×C4⋊C4×C151C2311yescharacteristic
95C2×C4⋊C4×C151C2311yescharacteristic
96C2×C4⋊C4×C151C2311yescharacteristic
97C2×C4⋊C4×C151C2311yescharacteristic
98C2×C4⋊C4×C151C2311yescharacteristic
99C2×C22⋊C4×C151—21no—
100C2×C22⋊C4×C151—21no—
101C2×C22⋊C4×C151—21no—
102C2×C22⋊C4×C151D411yescharacteristic
103C2×C22⋊C4×C151D411yescharacteristic
104C2×C42×C151—21no—
105C2×C42×C151C2311yescharacteristic
106C2×C42×C151C2311yescharacteristic
107#107×C151—41no—
108#106×C151—41no—
109C4⋊C8×C151—22no—
110C4⋊C8×C151—22no—
111#103×C151—22no—
112#103×C151—22no—
113#103×C151—22no—
114#103×C151—22no—
115#103×C151—41no—
116#103×C151—41no—
117#103×C151—41no—
118#103×C151—41no—
119C22⋊C8×C151—22no—
120C22⋊C8×C151D414yes—
121#97×C151—22no—
122C4×C8×C151—22no—
123#95×C151—21no—
124#95×C151—21no—
125#95×C151—21no—
126#95×C151—21no—
127#95×C151—21no—
128#95×C151—21no—
129#95×C151—21no—
130#95×C151—21no—
131#95×C151—21no—
132#95×C151—21no—
133#95×C151—21no—
134#95×C151—21no—
135#95×C151—21no—
136#95×C151—21no—
137#95×C151—21no—
138C24×C151C2×D411yescharacteristic
139C2×Q8×C151—24no—
140C2×Q8×C151—21no—
141C2×Q8×C151—21no—
142C2×Q8×C151—21no—
143C2×Q8×C151—21no—
144C2×Q8×C151—21no—
145C2×Q8×C151—21no—
146C2×Q8×C151—21no—
147C2×Q8×C151—21no—
148C2×Q8×C151—21no—
149C2×Q8×C151—21no—
150C2×Q8×C151—21no—
151C2×Q8×C151—21no—
152C2×Q8×C151—21no—
153C2×Q8×C151—21no—
154C2×Q8×C151—21no—
155C2×Q8×C151—21no—
156C2×Q8×C151—44no—
157C2×Q8×C151—44no—
158C2×Q8×C151—44no—
159C2×Q8×C151—44no—
160C2×Q8×C151—42no—
161C2×Q8×C151—42no—
162C2×Q8×C151#4112yes—
163C2×Q8×C151#4112yes—
164C22×C4×C151—21no—
165C22×C4×C151—21no—
166C22×C4×C151—21no—
167C22×C4×C151—21no—
168C22×C4×C151—24no—
169C22×C4×C151—21no—
170C22×C4×C151—21no—
171C22×C4×C151—21no—
172C22×C4×C151—21no—
173C22×C4×C151—21no—
174C22×C4×C151—21no—
175C22×C4×C151—21no—
176C22×C4×C151—21no—
177C22×C4×C151—42no—
178C22×C4×C151—42no—
179C22×C4×C151C2×D411yescharacteristic
180C22×C4×C151C2×D411yescharacteristic
181C22×C4×C151C2×D411yescharacteristic
182C22×C4×C151C2×D411yescharacteristic
183C22×C4×C151C2×D411yescharacteristic
184C22×C4×C151C2×D412yes—
185C22×C4×C151#4112yes—
186C22×C4×C151C2411yescharacteristic
187Q16×C151—44no—
188Q16×C151—44no—
189C2×C8×C151—21no—
190C2×C8×C151—21no—
191C2×C8×C151—21no—
192C2×C8×C151—21no—
193C2×C8×C151—21no—
194C2×C8×C151—21no—
195C2×C8×C151—21no—
196C2×C8×C151—21no—
197C2×C8×C151—21no—
198C2×C8×C151—21no—
199C2×C8×C151C2×D412yes—
200C2×C8×C151C2×D412yes—
201C4⋊C4×C151—22no—
202C4⋊C4×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—42no—
214C4⋊C4×C151—81no—
215C4⋊C4×C151—81no—
216C22⋊C4×C151—22no—
217C22⋊C4×C151—22no—
218C22⋊C4×C151—42no—
219C22⋊C4×C151—42no—
220C22⋊C4×C151—81no—
221C42×C151—21no—
222C42×C151—21no—
223C42×C151—21no—
224C42×C151—21no—
225C42×C151—42no—
226C23×C151—21no—
227C23×C151—21no—
228C23×C151—21no—
229C23×C151—21no—
230C23×C151—21no—
231C23×C151—21no—
232C23×C151#12112yes—
233C23×C151C22×D411yescharacteristic
234Q8×C151—22no—
235Q8×C151—22no—
236Q8×C151—22no—
237Q8×C151—22no—
238Q8×C151—48no—
239Q8×C151—41no—
240Q8×C151—41no—
241Q8×C151—41no—
242Q8×C151—41no—
243Q8×C151—41no—
244Q8×C151—41no—
245Q8×C151—41no—
246Q8×C151—41no—
247C2×C4×C151—21no—
248C2×C4×C151—21no—
249C2×C4×C151—22no—
250C2×C4×C151—22no—
251C2×C4×C151—22no—
252C2×C4×C151—22no—
253C2×C4×C151—21no—
254C2×C4×C151—21no—
255C2×C4×C151—21no—
256C2×C4×C151—21no—
257C2×C4×C151—22no—
258C2×C4×C151—22no—
259C2×C4×C151—21no—
260C2×C4×C151—21no—
261C2×C4×C151—21no—
262C2×C4×C151—21no—
263C2×C4×C151—21no—
264C2×C4×C151—21no—
265C2×C4×C151—21no—
266C2×C4×C151—21no—
267C2×C4×C151—48no—
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—41no—
275C2×C4×C151—41no—
276C2×C4×C151—41no—
277C2×C4×C151—41no—
278C2×C4×C151—41no—
279C2×C4×C151—41no—
280C2×C4×C151—41no—
281C2×C4×C151—41no—
282C2×C4×C151—41no—
283C2×C4×C151—41no—
284C2×C4×C151—41no—
285C2×C4×C151—41no—
286C2×C4×C151—41no—
287C2×C4×C151—41no—
288C2×C4×C151—41no—
289C2×C4×C151—41no—
290C2×C4×C151#12112yes—
291C2×C4×C151C22×D411yescharacteristic
292C2×C4×C151C2×#4111yescharacteristic
293C2×C4×C151C2×#4111yescharacteristic
294C2×C4×C151C2×#4111yescharacteristic
295C2×C4×C151H(5,𝔽2)11yescharacteristic
296C2×C4×C151H(5,𝔽2)11yescharacteristic
297C8×C151—22no—
298C8×C151—22no—
299C8×C151—41no—
300C8×C151—41no—
301C22×C151—22no—
302C22×C151—22no—
303C22×C151—22no—
304C22×C151—41no—
305C22×C151—41no—
306C22×C151—41no—
307C22×C151—41no—
308C22×C151C2×#12111yescharacteristic
309C22×C151#52511yescharacteristic
310C22×C151#53511yescharacteristic
311C22×C151#57711yescharacteristic
312C22×C151#57811yescharacteristic
313C22×C151#57811yescharacteristic
314C22×C151#57811yescharacteristic
315C4×C151—22no—
316C4×C151—42no—
317C4×C151—42no—
318C4×C151—41no—
319C4×C151—41no—
320C4×C151—41no—
321C4×C151—41no—
322C4×C151—81no—
323C4×C151—81no—
324C4×C151—81no—
325C4×C151—81no—
326C4×C151—81no—
327C4×C151—81no—
328C4×C151#54611yescharacteristic
329C4×C151#54611yescharacteristic
330C4×C151#55111yescharacteristic
331C4×C151#55111yescharacteristic
332C2×C151—42no—
333C2×C151#241111yescharacteristic
334C2×C151#305911yescharacteristic
335C2×C151#306311yescharacteristic
336C2×C151#312111yescharacteristic
337C2×C151#312711yescharacteristic
338C2×C151#322311yescharacteristic
339C2×C151#322511yescharacteristic
340#24514C15111yesmaximal, characteristic, direct product factor, Sylow
341C151#2451411yescharacteristic, direct product factor, Sylow
342C2×#451C2×C15111yescharacteristic
343C2×#433C2×C15111yescharacteristic
344#2625C2×C15111yescharacteristic
345#2310C2×C15111yescharacteristic
346#2068C2×C15111yescharacteristic, complemented
347#2066C2×C15111yescharacteristic, complemented
348#2056C2×C15111yescharacteristic, complemented
349#2056C2×C15111yescharacteristic, complemented
350#1971C2×C15111yescharacteristic, complemented
351#1969C2×C15111yescharacteristic, complemented
352#1935C2×C15111yescharacteristic, complemented
353#1933C2×C15111yescharacteristic, complemented
354#1873C2×C15111yescharacteristic
355#1854C2×C15111yescharacteristic
356#1787C2×C15111yescharacteristic
357C23×Q8C22×C15111yescharacteristic
358C22×Q16C22×C15111yescharacteristic
359C22×Q16C22×C15111yescharacteristic
360C2×C22⋊Q8C22×C15111yescharacteristic
361C2×#117C22×C15111yescharacteristic
362C2×#117C22×C15111yescharacteristic
363#451—24no—
364#433—24no—
365C2×#107C22×C15111yescharacteristic
366C2×#106C22×C15111yescharacteristic
367C2×C4⋊C8C22×C15111yescharacteristic
368C2×C4⋊C8C22×C15111yescharacteristic
369C2×#103C22×C15111yescharacteristic
370C2×#103C22×C15111yescharacteristic
371C2×#103C22×C15111yescharacteristic
372C2×#103C22×C15111yescharacteristic
373C2×#103C22×C15111yescharacteristic
374C2×#103C22×C15111yescharacteristic
375C2×#103C22×C15111yescharacteristic
376C2×#103C22×C15111yescharacteristic
377C2×C22⋊C8C22×C15111yescharacteristic
378C2×C22⋊C8C22×C15111yescharacteristic
379C2×#97C22×C15111yescharacteristic
380C2×C4×C8C22×C15111yescharacteristic
381#400—21no—
382#398—21no—
383#397—21no—
384#397—21no—
385#391—21no—
386#391—21no—
387#391C22×C15111yescharacteristic
388#391C22×C15111yescharacteristic
389#391C22×C15111yescharacteristic
390#391C22×C15111yescharacteristic
391#391C22×C15111yescharacteristic
392#391C22×C15111yescharacteristic
393#389C22×C15111yescharacteristic
394#389C22×C15111yescharacteristic
395#381—21no—
396#381—21no—
397#380C22×C15111yescharacteristic
398#340C22×C15111yescharacteristic
399#340C22×C15111yescharacteristic
400#340C22×C15111yescharacteristic
401#340C22×C15111yescharacteristic
402C22×Q8—22no—
403C22×Q8—22no—
404C22×Q8—21no—
405C22×Q8—22no—
406C22×Q8—22no—
407C22×Q8—41no—
408C22×Q8—41no—
409C22×Q8C23×C15111yescharacteristic
410C22×Q8C23×C15111yescharacteristic
411C22×Q8C23×C15111yescharacteristic
412C23×C4—21no—
413C23×C4C23×C15111yescharacteristic
414C2×Q16—22no—
415C2×Q16—22no—
416C2×Q16—22no—
417C2×Q16—22no—
418C2×Q16—41no—
419C2×Q16—41no—
420C22×C8C23×C15111yescharacteristic
421C22×C8C23×C15111yescharacteristic
422C22×C8C23×C15111yescharacteristic
423C22×C8C23×C15111yescharacteristic
424C22⋊Q8—22no—
425C22⋊Q8—22no—
426#117—22no—
427#117—22no—
428#117—41no—
429#117—41no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4D4×C15111yescharacteristic
434C2×C4⋊C4D4×C15111yescharacteristic
435C2×C4⋊C4C23×C15111yescharacteristic
436C2×C4⋊C4C23×C15111yescharacteristic
437C2×C4⋊C4C23×C15111yescharacteristic
438C2×C4⋊C4C23×C15111yescharacteristic
439C2×C4⋊C4C23×C15111yescharacteristic
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4D4×C15111yescharacteristic
444C2×C22⋊C4D4×C15111yescharacteristic
445C2×C42—21no—
446C2×C42C23×C15111yescharacteristic
447C2×C42C23×C15111yescharacteristic
448#107—41no—
449#106—41no—
450C4⋊C8—22no—
451C4⋊C8—22no—
452#103—22no—
453#103—22no—
454#103—22no—
455#103—22no—
456#103—41no—
457#103—41no—
458#103—41no—
459#103—41no—
460C22⋊C8—22no—
461C22⋊C8D4×C15114yes—
462#97—22no—
463C4×C8—22no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95—21no—
477#95—21no—
478#95—21no—
479C24C2×D4×C15111yescharacteristic
480C2×Q8—24no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—44no—
498C2×Q8—44no—
499C2×Q8—44no—
500C2×Q8—44no—
501C2×Q8—42no—
502C2×Q8—42no—
503C2×Q8#41×C15112yes—
504C2×Q8#41×C15112yes—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4C2×D4×C15111yescharacteristic
521C22×C4C2×D4×C15111yescharacteristic
522C22×C4C2×D4×C15111yescharacteristic
523C22×C4C2×D4×C15111yescharacteristic
524C22×C4C2×D4×C15111yescharacteristic
525C22×C4C2×D4×C15112yes—
526C22×C4#41×C15112yes—
527C22×C4C24×C15111yescharacteristic
528Q16—44no—
529Q16—44no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8C2×D4×C15112yes—
541C2×C8C2×D4×C15112yes—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—42no—
555C4⋊C4—81no—
556C4⋊C4—81no—
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—42no—
560C22⋊C4—42no—
561C22⋊C4—81no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—21no—
566C42—42no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23#121×C15112yes—
574C23C22×D4×C15111yescharacteristic
575Q8—22no—
576Q8—22no—
577Q8—22no—
578Q8—22no—
579Q8—48no—
580Q8—41no—
581Q8—41no—
582Q8—41no—
583Q8—41no—
584Q8—41no—
585Q8—41no—
586Q8—41no—
587Q8—41no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—48no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4#121×C15112yes—
632C2×C4C22×D4×C15111yescharacteristic
633C2×C4C2×#41×C15111yescharacteristic
634C2×C4C2×#41×C15111yescharacteristic
635C2×C4C2×#41×C15111yescharacteristic
636C2×C4H(5,𝔽2)×C15111yescharacteristic
637C2×C4H(5,𝔽2)×C15111yescharacteristic
638C8—22no—
639C8—22no—
640C8—41no—
641C8—41no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—41no—
646C22—41no—
647C22—41no—
648C22—41no—
649C22C2×#121×C15111yescharacteristic
650C22#525×C15111yescharacteristic
651C22#535×C15111yescharacteristic
652C22#577×C15111yescharacteristic
653C22#578×C15111yescharacteristic
654C22#578×C15111yescharacteristic
655C22#578×C15111yescharacteristic
656C4—22no—
657C4—42no—
658C4—42no—
659C4—41no—
660C4—41no—
661C4—41no—
662C4—41no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4—81no—
669C4#546×C15111yescharacteristic
670C4#546×C15111yescharacteristic
671C4#551×C15111yescharacteristic
672C4#551×C15111yescharacteristic
673C2—42no—
674C2#2411×C15111yescharacteristic
675C2#3059×C15111yescharacteristic
676C2#3063×C15111yescharacteristic
677C2#3121×C15111yescharacteristic
678C2#3127×C15111yescharacteristic
679C2#3223×C15111yescharacteristic
680C2#3225×C15111yescharacteristic
subgroupG/H
center, socleC23×C151C22×D4
commutator, Frattini, cosocleC22×C4C24×C151
prime radicalC24×C151C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C151 ◁ C2×#117×C151 ◁ G

Complements

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

NH ≅ G/Ntype
5. #2068×C151C2semidirect
6. #2066×C151C2semidirect
7. #2056×C151C2semidirect
8. #2056×C151C2semidirect
9. #1971×C151C2semidirect
10. #1969×C151C2semidirect
11. #1935×C151C2semidirect
12. #1933×C151C2semidirect
340. #24514C151direct (N × H)
341. C151#24514direct (N × H)
346. #2068C2×C151semidirect
347. #2066C2×C151semidirect
348. #2056C2×C151semidirect
349. #2056C2×C151semidirect
350. #1971C2×C151semidirect
351. #1969C2×C151semidirect
352. #1935C2×C151semidirect
353. #1933C2×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#451×C1512
C2×#433×C1512
#2625×C1512
#2310×C1512
#2068×C1512
#2066×C1512
#2056×C1512
#1971×C1512
#1969×C1512
#1935×C1512
#1933×C1512
#1873×C1512
#1854×C1512
#1787×C1512
#24514151