Finite Group Databasebeta

← C151×#24824 #50329749

Subgroups — C151×#24824 #50329749

Order 38656.

824 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#479×C151C211yesmaximal, characteristic, complemented
2C2×#440×C151C211yesmaximal, characteristic
3#2566×C151C211yesmaximal, characteristic
4Q8×C4⋊C4×C151C211yesmaximal, characteristic, complemented
5#2085×C151C211yesmaximal, characteristic, complemented
6#2083×C151C211yesmaximal, characteristic, complemented
7#2067×C151C211yesmaximal, characteristic
8#2065×C151C211yesmaximal, characteristic
9#1992×C151C211yesmaximal, characteristic, complemented
10#1940×C151C211yesmaximal, characteristic, complemented
11#1880×C151C211yesmaximal, characteristic
12#1880×C151C211yesmaximal, characteristic
13#1805×C151C211yesmaximal, characteristic, complemented
14#1803×C151C211yesmaximal, characteristic, complemented
15#1802×C151C211yesmaximal, characteristic
16C22×SD16×C151C2211yescharacteristic
17C2×#125×C151C2211yescharacteristic
18C2×C4×Q8×C151C2211yescharacteristic
19C2×C4×Q8×C151C2211yescharacteristic
20C2×C4×Q8×C151C2211yescharacteristic
21C2×C4×D4×C151C2211yescharacteristic
22#479×C151—24no—
23#440×C151—24no—
24C2×#107×C151C2211yescharacteristic
25C2×#107×C151C2211yescharacteristic
26C2×#106×C151C2211yescharacteristic
27C2×C4⋊C8×C151C2211yescharacteristic
28C2×C4⋊C8×C151C2211yescharacteristic
29C2×C4⋊C8×C151C2211yescharacteristic
30C2×#103×C151C2211yescharacteristic
31C2×#103×C151C2211yescharacteristic
32C2×#103×C151C2211yescharacteristic
33C2×#102×C151C2211yescharacteristic
34C2×#102×C151C2211yescharacteristic
35C2×#102×C151C2211yescharacteristic
36C2×#97×C151C2211yescharacteristic
37#396×C151—21no—
38#396×C151—21no—
39#390×C151C2211yescharacteristic
40#390×C151C2211yescharacteristic
41#389×C151—21no—
42#389×C151—21no—
43#389×C151C2211yescharacteristic
44#389×C151C2211yescharacteristic
45#385×C151—21no—
46#385×C151—21no—
47#384×C151—21no—
48#384×C151C2211yescharacteristic
49#384×C151C2211yescharacteristic
50#382×C151C2211yescharacteristic
51C4×C4⋊C4×C151—21no—
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×Q8×C151C2311yescharacteristic
62C22×D4×C151C2311yescharacteristic
63C23×C4×C151—21no—
64C2×SD16×C151—22no—
65C2×SD16×C151—22no—
66C2×SD16×C151Q814yes—
67C22×C8×C151C2311yescharacteristic
68C22×C8×C151C2311yescharacteristic
69C22×C8×C151C2311yescharacteristic
70C22×C8×C151C2311yescharacteristic
71#125×C151—22no—
72#125×C151—22no—
73C4×Q8×C151—22no—
74C4×Q8×C151—22no—
75C4×Q8×C151—22no—
76C4×Q8×C151—41no—
77C4×Q8×C151—41no—
78C4×Q8×C151D414yes—
79C4×D4×C151—22no—
80C4×D4×C151—22no—
81C2×C4⋊C4×C151—21no—
82C2×C4⋊C4×C151—21no—
83C2×C4⋊C4×C151—21no—
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×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×C4⋊C4×C151C2311yescharacteristic
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×C42×C151—21no—
106C2×C42×C151—21no—
107C2×C42×C151—21no—
108C2×C42×C151C2311yescharacteristic
109C2×C42×C151C2311yescharacteristic
110C2×C42×C151C2311yescharacteristic
111#107×C151—22no—
112#107×C151—22no—
113#106×C151—22no—
114C4⋊C8×C151—22no—
115C4⋊C8×C151—41no—
116C4⋊C8×C151—41no—
117#103×C151—22no—
118#103×C151—22no—
119#103×C151—22no—
120#102×C151—22no—
121#102×C151—41no—
122#102×C151—41no—
123#97×C151—22no—
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—
131C2×Q8×C151—21no—
132C2×Q8×C151—21no—
133C2×Q8×C151—21no—
134C2×Q8×C151C2×D412yes—
135C2×Q8×C151C2×Q812yes—
136C2×Q8×C151#4112yes—
137C2×D4×C151—21no—
138C2×D4×C151—21no—
139C2×D4×C151—21no—
140C2×D4×C151—21no—
141C2×D4×C151—21no—
142C2×D4×C151C2×Q812yes—
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—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
160SD16×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×C151C2×Q812yes—
173C4⋊C4×C151—24no—
174C4⋊C4×C151—22no—
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—21no—
186C4⋊C4×C151—41no—
187C4⋊C4×C151—42no—
188C4⋊C4×C151—42no—
189C4⋊C4×C151—42no—
190C4⋊C4×C151—42no—
191C4⋊C4×C151—42no—
192C4⋊C4×C151—81no—
193C4⋊C4×C151—81no—
194C4⋊C4×C151—81no—
195C4⋊C4×C151—81no—
196C4⋊C4×C151—81no—
197C4⋊C4×C151C2×D412yes—
198C22⋊C4×C151—42no—
199C22⋊C4×C151—42no—
200C22⋊C4×C151—42no—
201C22⋊C4×C151—81no—
202C22⋊C4×C151—81no—
203C42×C151—24no—
204C42×C151—21no—
205C42×C151—21no—
206C42×C151—21no—
207C42×C151—21no—
208C42×C151—42no—
209C42×C151—42no—
210C42×C151C2×D412yes—
211C42×C151#4112yes—
212C23×C151—22no—
213C23×C151—41no—
214C23×C151—41no—
215C23×C151—41no—
216C23×C151—41no—
217C23×C151—41no—
218C23×C151—41no—
219C23×C151C22×D411yescharacteristic
220Q8×C151—22no—
221Q8×C151—22no—
222Q8×C151—22no—
223Q8×C151C22⋊Q814yes—
224D4×C151—22no—
225D4×C151—22no—
226D4×C151—41no—
227D4×C151—41no—
228C2×C4×C151—22no—
229C2×C4×C151—22no—
230C2×C4×C151—21no—
231C2×C4×C151—22no—
232C2×C4×C151—21no—
233C2×C4×C151—21no—
234C2×C4×C151—21no—
235C2×C4×C151—21no—
236C2×C4×C151—21no—
237C2×C4×C151—22no—
238C2×C4×C151—21no—
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—21no—
246C2×C4×C151—21no—
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—84no—
265C2×C4×C151#12112yes—
266C2×C4×C151#12112yes—
267C2×C4×C151#13712yes—
268C2×C4×C151C22×D411yescharacteristic
269C2×C4×C151C22×Q811yescharacteristic
270C2×C4×C151C2×#4111yescharacteristic
271C2×C4×C151C2×#4111yescharacteristic
272C2×C4×C151H(5,𝔽2)11yescharacteristic
273C2×C4×C1512−1+411yescharacteristic
274C8×C151—22no—
275C8×C151—41no—
276C8×C151—41no—
277C8×C151—41no—
278C22×C151—42no—
279C22×C151—42no—
280C22×C151—42no—
281C22×C151—81no—
282C22×C151—81no—
283C22×C151—81no—
284C22×C151—81no—
285C22×C151C2×#12111yescharacteristic
286C22×C151#54611yescharacteristic
287C22×C151D4×Q811yescharacteristic
288C22×C151C2×#13711yescharacteristic
289C22×C151#57511yescharacteristic
290C22×C151#57611yescharacteristic
291C22×C151#57711yescharacteristic
292C4×C151—24no—
293C4×C151—22no—
294C4×C151—22no—
295C4×C151—22no—
296C4×C151—42no—
297C4×C151—41no—
298C4×C151—41no—
299C4×C151—41no—
300C4×C151—81no—
301C4×C151—81no—
302C4×C151—81no—
303C4×C151—81no—
304C4×C151—81no—
305C4×C151C2×C22⋊Q811yescharacteristic
306C4×C151#53711yescharacteristic
307C4×C151#55211yescharacteristic
308C4×C151#55411yescharacteristic
309C2×C151—82no—
310C2×C151#241711yescharacteristic
311C2×C151#303711yescharacteristic
312C2×C151#304511yescharacteristic
313C2×C151#330911yescharacteristic
314C2×C151#332011yescharacteristic
315C2×C151#338511yescharacteristic
316C2×C151#338811yescharacteristic
317#24824C15111yesmaximal, characteristic, direct product factor, Sylow
318C151#2482411yescharacteristic, direct product factor, Sylow
319C2×#479C2×C15111yescharacteristic, complemented
320C2×#440C2×C15111yescharacteristic
321#2566C2×C15111yescharacteristic
322Q8×C4⋊C4C2×C15111yescharacteristic, complemented
323#2085C2×C15111yescharacteristic, complemented
324#2083C2×C15111yescharacteristic, complemented
325#2067C2×C15111yescharacteristic
326#2065C2×C15111yescharacteristic
327#1992C2×C15111yescharacteristic, complemented
328#1940C2×C15111yescharacteristic, complemented
329#1880C2×C15111yescharacteristic
330#1880C2×C15111yescharacteristic
331#1805C2×C15111yescharacteristic, complemented
332#1803C2×C15111yescharacteristic, complemented
333#1802C2×C15111yescharacteristic
334C22×SD16C22×C15111yescharacteristic
335C2×#125C22×C15111yescharacteristic
336C2×C4×Q8C22×C15111yescharacteristic
337C2×C4×Q8C22×C15111yescharacteristic
338C2×C4×Q8C22×C15111yescharacteristic
339C2×C4×D4C22×C15111yescharacteristic
340#479—24no—
341#440—24no—
342C2×#107C22×C15111yescharacteristic
343C2×#107C22×C15111yescharacteristic
344C2×#106C22×C15111yescharacteristic
345C2×C4⋊C8C22×C15111yescharacteristic
346C2×C4⋊C8C22×C15111yescharacteristic
347C2×C4⋊C8C22×C15111yescharacteristic
348C2×#103C22×C15111yescharacteristic
349C2×#103C22×C15111yescharacteristic
350C2×#103C22×C15111yescharacteristic
351C2×#102C22×C15111yescharacteristic
352C2×#102C22×C15111yescharacteristic
353C2×#102C22×C15111yescharacteristic
354C2×#97C22×C15111yescharacteristic
355#396—21no—
356#396—21no—
357#390C22×C15111yescharacteristic
358#390C22×C15111yescharacteristic
359#389—21no—
360#389—21no—
361#389C22×C15111yescharacteristic
362#389C22×C15111yescharacteristic
363#385—21no—
364#385—21no—
365#384—21no—
366#384C22×C15111yescharacteristic
367#384C22×C15111yescharacteristic
368#382C22×C15111yescharacteristic
369C4×C4⋊C4—21no—
370C4×C4⋊C4C22×C15111yescharacteristic
371#340C22×C15111yescharacteristic
372#340C22×C15111yescharacteristic
373#340C22×C15111yescharacteristic
374#340C22×C15111yescharacteristic
375#340C22×C15111yescharacteristic
376#340C22×C15111yescharacteristic
377#336C22×C15111yescharacteristic
378#336C22×C15111yescharacteristic
379C22×Q8C23×C15111yescharacteristic
380C22×D4C23×C15111yescharacteristic
381C23×C4—21no—
382C2×SD16—22no—
383C2×SD16—22no—
384C2×SD16Q8×C15114yes—
385C22×C8C23×C15111yescharacteristic
386C22×C8C23×C15111yescharacteristic
387C22×C8C23×C15111yescharacteristic
388C22×C8C23×C15111yescharacteristic
389#125—22no—
390#125—22no—
391C4×Q8—22no—
392C4×Q8—22no—
393C4×Q8—22no—
394C4×Q8—41no—
395C4×Q8—41no—
396C4×Q8D4×C15114yes—
397C4×D4—22no—
398C4×D4—22no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4D4×C15111yescharacteristic
411C2×C4⋊C4D4×C15111yescharacteristic
412C2×C4⋊C4C23×C15111yescharacteristic
413C2×C4⋊C4C23×C15111yescharacteristic
414C2×C4⋊C4C23×C15111yescharacteristic
415C2×C4⋊C4C23×C15111yescharacteristic
416C2×C4⋊C4C23×C15111yescharacteristic
417C2×C4⋊C4C23×C15111yescharacteristic
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C42—21no—
424C2×C42—21no—
425C2×C42—21no—
426C2×C42C23×C15111yescharacteristic
427C2×C42C23×C15111yescharacteristic
428C2×C42C23×C15111yescharacteristic
429#107—22no—
430#107—22no—
431#106—22no—
432C4⋊C8—22no—
433C4⋊C8—41no—
434C4⋊C8—41no—
435#103—22no—
436#103—22no—
437#103—22no—
438#102—22no—
439#102—41no—
440#102—41no—
441#97—22no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95D4×C15111yescharacteristic
447#95D4×C15111yescharacteristic
448C24—21no—
449C2×Q8—21no—
450C2×Q8—21no—
451C2×Q8—21no—
452C2×Q8C2×D4×C15112yes—
453C2×Q8C2×Q8×C15112yes—
454C2×Q8#41×C15112yes—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4C2×Q8×C15112yes—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—42no—
469C22×C4—81no—
470C22×C4—81no—
471C22×C4C2×D4×C15111yescharacteristic
472C22×C4C2×D4×C15111yescharacteristic
473C22×C4C2×D4×C15111yescharacteristic
474C22×C4C2×D4×C15111yescharacteristic
475C22×C4C2×D4×C15111yescharacteristic
476C22×C4C2×D4×C15111yescharacteristic
477C22×C4C24×C15111yescharacteristic
478SD16—28no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8C2×Q8×C15112yes—
491C4⋊C4—24no—
492C4⋊C4—22no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—41no—
505C4⋊C4—42no—
506C4⋊C4—42no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4—81no—
511C4⋊C4—81no—
512C4⋊C4—81no—
513C4⋊C4—81no—
514C4⋊C4—81no—
515C4⋊C4C2×D4×C15112yes—
516C22⋊C4—42no—
517C22⋊C4—42no—
518C22⋊C4—42no—
519C22⋊C4—81no—
520C22⋊C4—81no—
521C42—24no—
522C42—21no—
523C42—21no—
524C42—21no—
525C42—21no—
526C42—42no—
527C42—42no—
528C42C2×D4×C15112yes—
529C42#41×C15112yes—
530C23—22no—
531C23—41no—
532C23—41no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23C22×D4×C15111yescharacteristic
538Q8—22no—
539Q8—22no—
540Q8—22no—
541Q8C22⋊Q8×C15114yes—
542D4—22no—
543D4—22no—
544D4—41no—
545D4—41no—
546C2×C4—22no—
547C2×C4—21no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—22no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—84no—
583C2×C4#121×C15112yes—
584C2×C4#121×C15112yes—
585C2×C4#137×C15112yes—
586C2×C4C22×D4×C15111yescharacteristic
587C2×C4C22×Q8×C15111yescharacteristic
588C2×C4C2×#41×C15111yescharacteristic
589C2×C4C2×#41×C15111yescharacteristic
590C2×C4H(5,𝔽2)×C15111yescharacteristic
591C2×C42−1+4×C15111yescharacteristic
592C8—22no—
593C8—41no—
594C8—41no—
595C8—41no—
596C22—42no—
597C22—42no—
598C22—42no—
599C22—81no—
600C22—81no—
601C22—81no—
602C22—81no—
603C22C2×#121×C15111yescharacteristic
604C22#546×C15111yescharacteristic
605C22D4×Q8×C15111yescharacteristic
606C22C2×#137×C15111yescharacteristic
607C22#575×C15111yescharacteristic
608C22#576×C15111yescharacteristic
609C22#577×C15111yescharacteristic
610C4—24no—
611C4—22no—
612C4—22no—
613C4—22no—
614C4—42no—
615C4—41no—
616C4—41no—
617C4—41no—
618C4—81no—
619C4—81no—
620C4—81no—
621C4—81no—
622C4—81no—
623C4C2×C22⋊Q8×C15111yescharacteristic
624C4#537×C15111yescharacteristic
625C4#552×C15111yescharacteristic
626C4#554×C15111yescharacteristic
627C2—82no—
628C2#2417×C15111yescharacteristic
629C2#3037×C15111yescharacteristic
630C2#3045×C15111yescharacteristic
631C2#3309×C15111yescharacteristic
632C2#3320×C15111yescharacteristic
633C2#3385×C15111yescharacteristic
634C2#3388×C15111yescharacteristic
subgroupG/H
center, socleC23×C151C22×D4
commutator, Frattini, cosocleC22×C4C24×C151
prime radicalC22×D4×C151C23
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×#479×C151C2semidirect
4. Q8×C4⋊C4×C151C2semidirect
5. #2085×C151C2semidirect
6. #2083×C151C2semidirect
9. #1992×C151C2semidirect
10. #1940×C151C2semidirect
13. #1805×C151C2semidirect
14. #1803×C151C2semidirect
317. #24824C151direct (N × H)
318. C151#24824direct (N × H)
319. C2×#479C2×C151semidirect
322. Q8×C4⋊C4C2×C151semidirect
323. #2085C2×C151semidirect
324. #2083C2×C151semidirect
327. #1992C2×C151semidirect
328. #1940C2×C151semidirect
331. #1805C2×C151semidirect
332. #1803C2×C151semidirect

Maximal subgroups

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

subgroupindex
C2×#479×C1512
C2×#440×C1512
#2566×C1512
Q8×C4⋊C4×C1512
#2085×C1512
#2083×C1512
#2067×C1512
#2065×C1512
#1992×C1512
#1940×C1512
#1880×C1512
#1805×C1512
#1803×C1512
#1802×C1512
#24824151