Finite Group Databasebeta

← #649784

Subgroups — #649784

Order 512.

4040 conjugacy classes of subgroups.

The subgroup lattice has 793 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#125C211yesmaximal, characteristic, complemented
2C2×#2441C212yesmaximal, complemented
3C2×#2352C211yesmaximal, characteristic
4#16104C214yesmaximal, complemented
5#15846C214yesmaximal, complemented
6#15228C212yesmaximal, complemented
7#15216C212yesmaximal, complemented
8#14777C212yesmaximal
9#14729C212yesmaximal
10#14697C211yesmaximal, characteristic, complemented
11#14130C212yesmaximal, complemented
12#14054C212yesmaximal, complemented
13#14039C212yesmaximal, complemented
14#13907C211yesmaximal, characteristic, complemented
15#13880C211yesmaximal, characteristic, complemented
16#13872C211yesmaximal, characteristic
17C4×#386C211yesmaximal, characteristic
18C22×#125—216no—
19C22×#125—28no—
20C22×#125C2212yes—
21C22×#125C2214yes—
22C22×#125C2212yes—
23C22×C4×D4C2211yescharacteristic
24C22×#117C2211yescharacteristic
25C23×C4⋊C4C2211yescharacteristic
26C23×C4⋊C4C2212yes—
27C23×C4⋊C4C2212yes—
28C23×C4⋊C4C2211yescharacteristic
29C23×C42C2211yescharacteristic
30#2441—216no—
31C2×#399C2214yes—
32C2×#396C2214yes—
33#2352—28no—
34C2×#389C2214yes—
35C2×#389C2212yes—
36C2×#389C2212yes—
37C2×#388C2212yes—
38C2×#387C2212yes—
39C2×#387C2214yes—
40C2×#386C2212yes—
41C2×#386C2211yescharacteristic
42C2×#386C2211yescharacteristic
43C2×#386C2212yes—
44C2×#385C2212yes—
45C2×#385C2212yes—
46C2×#385C2212yes—
47C2×#384C2212yes—
48C2×#382C2211yescharacteristic
49C2×#380C2211yescharacteristic
50C2×#380C2212yes—
51C2×#380C2212yes—
52C2×#380C2211yescharacteristic
53C2×#380C2211yescharacteristic
54C2×C4×C4⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4C2212yes—
56C2×C4×C22⋊C4C2211yescharacteristic
57C2×C4×C22⋊C4C2212yes—
58#1445C2214yes—
59#1444C2214yes—
60#1444C2214yes—
61#1444C2214yes—
62#1442C2214yes—
63#1442C2214yes—
64#1441C2212yes—
65#1441C2214yes—
66#1441C2214yes—
67#1441C2214yes—
68#1441C2214yes—
69#1439C2212yes—
70#1439C2214yes—
71#1439C2214yes—
72#1437C2212yes—
73#1436C2214yes—
74#1436C2212yes—
75#1436C2214yes—
76C4⋊#95C2212yes—
77C4⋊#95C2214yes—
78C4⋊#95C2212yes—
79C4⋊#95C2212yes—
80C4⋊#95C2212yes—
81C22⋊#95C2212yes—
82C22⋊#95C2211yescharacteristic
83C22⋊#95C2212yes—
84C22⋊#95C2212yes—
85C22⋊#95C2211yescharacteristic
86C4×#95C2212yes—
87C23×D4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2312yes—
92C24×C4C2312yes—
93C24×C4C2311yescharacteristic
94C2×#125—2128no—
95C2×#125—28no—
96C2×#125—216no—
97C2×#125—216no—
98C2×#125—28no—
99C2×#125—216no—
100C2×#125—28no—
101C2×#125—28no—
102C2×#125—28no—
103C2×#125D4116yescomplemented
104C2×C4×D4—24no—
105C2×C4×D4—24no—
106C2×C4×D4Q818yes—
107C2×#117—24no—
108C2×#117—28no—
109C22×C4⋊C4—24no—
110C22×C4⋊C4—28no—
111C22×C4⋊C4—28no—
112C22×C4⋊C4—28no—
113C22×C4⋊C4—216no—
114C22×C4⋊C4—216no—
115C22×C4⋊C4—28no—
116C22×C4⋊C4D418yes—
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2314yes—
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2314yes—
124C22×C4⋊C4C2314yes—
125C22×C4⋊C4C2314yes—
126C22×C4⋊C4C2314yes—
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2312yes—
129C22×C4⋊C4C2312yes—
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2314yes—
132C22×C4⋊C4C2314yes—
133C22×C4⋊C4C2311yescharacteristic
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2311yescharacteristic
140C22×C22⋊C4C2311yescharacteristic
141C22×C22⋊C4C2311yescharacteristic
142C22×C22⋊C4C2311yescharacteristic
143C22×C22⋊C4C2314yes—
144C22×C22⋊C4C2312yes—
145C22×C42—24no—
146C22×C42—28no—
147C22×C42C2312yes—
148C22×C42C2312yes—
149C22×C42C2312yes—
150C22×C42C2312yes—
151C22×C42C2311yescharacteristic
152C22×C42C2312yes—
153#399—216no—
154#396—216no—
155#389—216no—
156#389—28no—
157#389—28no—
158#388—28no—
159#387—28no—
160#387—216no—
161#386—28no—
162#386—24no—
163#386—24no—
164#386—44no—
165#385—28no—
166#385—44no—
167#385—44no—
168#384—28no—
169#382—24no—
170#380—24no—
171#380—24no—
172#380—24no—
173#380—28no—
174#380—28no—
175C4×C4⋊C4—24no—
176C4×C22⋊C4—28no—
177C4×C22⋊C4—24no—
178C4×C22⋊C4—28no—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2312yes—
182C2×#95C2312yes—
183C2×#95C2312yes—
184C2×#95C2312yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2312yes—
194C2×#95C2312yes—
195C2×#95C2312yes—
196C2×#95C2312yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2314yes—
200C2×#95C2314yes—
201C2×#95C2314yes—
202C2×#95C2314yes—
203C25C2411yescharacteristic
204C25C2411yescharacteristic
205C22×D4—22no—
206C22×D4—22no—
207C22×D4—22no—
208C22×D4—22no—
209C22×D4—22no—
210C22×D4—22no—
211C22×D4C2×Q814yes—
212C23×C4—24no—
213C23×C4—24no—
214C23×C4—24no—
215C23×C4—22no—
216C23×C4—22no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—28no—
220C23×C4—28no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—22no—
224C23×C4—24no—
225C23×C4—22no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—24no—
232C23×C4—22no—
233C23×C4—44no—
234C23×C4—42no—
235C23×C4—42no—
236C23×C4—44no—
237C23×C4C2×D418yes—
238C23×C4C2×D414yes—
239C23×C4C2×Q814yes—
240C23×C4C2×Q814yes—
241C23×C4#4114yes—
242C23×C4C2412yes—
243C23×C4C2414yes—
244C23×C4C2412yes—
245C23×C4C2414yes—
246C23×C4C2412yes—
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2411yescharacteristic
250C23×C4C2411yescharacteristic
251C23×C4C2411yescharacteristic
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2412yes—
255C23×C4C2411yescharacteristic
256C23×C4C2411yescharacteristic
257#125—2128no—
258#125—264no—
259#125—264no—
260C4×D4—232no—
261#117—416no—
262C2×C4⋊C4—232no—
263C2×C4⋊C4—264no—
264C2×C4⋊C4—264no—
265C2×C4⋊C4—28no—
266C2×C4⋊C4—28no—
267C2×C4⋊C4—28no—
268C2×C4⋊C4—28no—
269C2×C4⋊C4—28no—
270C2×C4⋊C4—28no—
271C2×C4⋊C4—28no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—28no—
274C2×C4⋊C4—28no—
275C2×C4⋊C4—28no—
276C2×C4⋊C4—28no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—22no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—232no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—28no—
289C2×C4⋊C4—28no—
290C2×C4⋊C4—28no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—28no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—28no—
296C2×C4⋊C4—28no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4—44no—
299C2×C4⋊C4—44no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—44no—
302C2×C4⋊C4—44no—
303C2×C4⋊C4C2×D418yes—
304C2×C4⋊C4C2×D4116yes—
305C2×C4⋊C4C2×D4116yes—
306C2×C4⋊C4C2×D414yes—
307C2×C4⋊C4C2×D418yes—
308C2×C4⋊C4C2×D418yes—
309C2×C4⋊C4C2×D414yes—
310C2×C4⋊C4C2×Q814yes—
311C2×C22⋊C4—22no—
312C2×C22⋊C4—22no—
313C2×C22⋊C4—22no—
314C2×C22⋊C4—22no—
315C2×C22⋊C4—22no—
316C2×C22⋊C4—22no—
317C2×C22⋊C4—22no—
318C2×C22⋊C4—22no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—28no—
333C2×C22⋊C4—42no—
334C2×C22⋊C4—42no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4C2×Q814yes—
339C2×C22⋊C4C2×Q814yes—
340C2×C22⋊C4#4114yes—
341C2×C22⋊C4#4114yes—
342C2×C42—232no—
343C2×C42—22no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—24no—
347C2×C42—24no—
348C2×C42—24no—
349C2×C42—22no—
350C2×C42—24no—
351C2×C42—28no—
352C2×C42—24no—
353C2×C42—24no—
354C2×C42—24no—
355C2×C42—24no—
356C2×C42—44no—
357C2×C42C2×D418yes—
358C2×C42C2×Q814yes—
359#95—24no—
360#95—24no—
361#95—24no—
362#95—24no—
363#95—24no—
364#95—24no—
365#95—28no—
366#95—24no—
367#95—28no—
368#95—28no—
369#95—24no—
370#95—28no—
371#95—24no—
372#95—28no—
373#95—24no—
374#95—24no—
375#95—42no—
376#95—42no—
377#95—44no—
378#95—44no—
379#95—44no—
380#95—44no—
381#95—44no—
382#95—44no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—21no—
389C24—21no—
390C24—21no—
391C24—21no—
392C24—21no—
393C24—22no—
394C24—21no—
395C24—22no—
396C24—22no—
397C24C22×D412yes—
398C24C22×Q812yes—
399C24C22×Q812yes—
400C24C2×#4112yes—
401C24C2×#4112yes—
402C24C2×#4112yes—
403C24H(5,𝔽2)12yes—
404C242−1+412yes—
405C24C2511yescharacteristic
406C2×D4—28no—
407C2×D4—28no—
408C2×D4—28no—
409C2×D4—44no—
410C2×D4—44no—
411C2×D4—44no—
412C2×D4—44no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—24no—
418C22×C4—28no—
419C22×C4—28no—
420C22×C4—216no—
421C22×C4—216no—
422C22×C4—28no—
423C22×C4—28no—
424C22×C4—216no—
425C22×C4—216no—
426C22×C4—22no—
427C22×C4—21no—
428C22×C4—22no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—24no—
437C22×C4—24no—
438C22×C4—24no—
439C22×C4—22no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—24no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—216no—
475C22×C4—28no—
476C22×C4—216no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—48no—
495C22×C4—416no—
496C22×C4—416no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—416no—
500C22×C4—416no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—44no—
504C22×C4—48no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—48no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—48no—
512C22×C4C22⋊Q8116yes—
513C22×C4C22×D414yes—
514C22×C4C22×D414yes—
515C22×C4C22×D414yes—
516C22×C4C22×D418yes—
517C22×C4C22×D414yes—
518C22×C4C22×D418yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D414yes—
522C22×C4C22×Q812yes—
523C22×C4C22×Q812yes—
524C22×C4C22×Q812yes—
525C22×C4C22×Q812yes—
526C22×C4C22×Q812yes—
527C22×C4C2×#4114yes—
528C22×C4C2×#4114yes—
529C22×C4C2×#4112yes—
530C22×C4C2×#4112yes—
531C22×C42−1+414yes—
532C4⋊C4—216no—
533C4⋊C4—232no—
534C4⋊C4—232no—
535C4⋊C4—216no—
536C4⋊C4—232no—
537C4⋊C4—232no—
538C4⋊C4—216no—
539C4⋊C4—28no—
540C4⋊C4—28no—
541C4⋊C4—416no—
542C4⋊C4—416no—
543C4⋊C4—44no—
544C4⋊C4—44no—
545C4⋊C4—48no—
546C4⋊C4—88no—
547C4⋊C4—88no—
548C4⋊C4#120116yes—
549C22⋊C4—28no—
550C22⋊C4—28no—
551C22⋊C4—28no—
552C22⋊C4—28no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—84no—
559C22⋊C4—88no—
560C42—216no—
561C42—216no—
562C42—28no—
563C42—48no—
564C42—48no—
565C42—84no—
566C23—22no—
567C23—22no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—22no—
573C23—22no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—24no—
586C23—24no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—42no—
591C23—41no—
592C23—42no—
593C23—42no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23C2×C22⋊Q814yes—
606C23#53314yes—
607C23#54414yes—
608C23#54714yes—
609C23#55014yes—
610C23#55214yes—
611C23#55314yes—
612C23C23×D411yescharacteristic
613C23C23×D412yes—
614C23C23×Q811yescharacteristic
615C23C22×#4111yescharacteristic
616C23C22×#4111yescharacteristic
617C23C22×#4111yescharacteristic
618C23C2×H(5,𝔽2)11yescharacteristic
619C23C2×2−1+412yes—
620C23C2×2−1+411yescharacteristic
621C23#58512yes—
622C23#58512yes—
623D4—416no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—28no—
630C2×C4—24no—
631C2×C4—28no—
632C2×C4—232no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—28no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—28no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—28no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—432no—
659C2×C4—416no—
660C2×C4—432no—
661C2×C4—416no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—41no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—44no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—416no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4C2×#12018yes—
713C2×C4C2×#12014yes—
714C2×C4C2×C22⋊Q814yes—
715C2×C4C2×C22⋊Q814yes—
716C2×C4#53614yes—
717C2×C4#54818yes—
718C2×C4D4×Q818yes—
719C22—28no—
720C22—28no—
721C22—24no—
722C22—28no—
723C22—24no—
724C22—28no—
725C22—24no—
726C22—24no—
727C22—24no—
728C22—24no—
729C22—44no—
730C22—42no—
731C22—44no—
732C22—42no—
733C22—42no—
734C22—82no—
735C22—82no—
736C22—81no—
737C22—81no—
738C22—81no—
739C22—81no—
740C22#244118yescomplemented
741C22C22×#12011yescharacteristic
742C22C22×C22⋊Q811yescharacteristic
743C22C2×#53311yescharacteristic
744C22C2×#53611yescharacteristic
745C22C2×#54411yescharacteristic
746C22C2×#54711yescharacteristic
747C22C2×#54812yes—
748C22C2×D4×Q812yes—
749C22C2×#55011yescharacteristic
750C22D4×#4112yes—
751C22D4×#4112yes—
752C22C2×#55211yescharacteristic
753C22C2×#55311yescharacteristic
754C22#348511yescharacteristic
755C22#348711yescharacteristic
756C22#348812yes—
757C22#348912yes—
758C22#350412yes—
759C22#351212yes—
760C22#351512yes—
761C22#351512yes—
762C22#355912yes—
763C22#356312yes—
764C4—28no—
765C4—24no—
766C4—44no—
767C4—44no—
768C4—42no—
769C4—44no—
770C4—48no—
771C4—44no—
772C4—44no—
773C4—42no—
774C4—42no—
775C4—84no—
776C4—82no—
777C4—82no—
778C4#240918yes—
779C2—28no—
780C2—82no—
781C2C2×#240911yescharacteristic
782C2C2×#244111yescharacteristic
783C2#3563911yescharacteristic
784C2#3613112yes—
785C2#3621311yescharacteristic
786C2#3642911yescharacteristic
787C2#3768712yes—
788C2#3891911yescharacteristic
789C2#3913411yescharacteristic
790C2#5913912yes—
791C2#5914012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC23×D4C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C23×#125C2semidirect
2. C2×#2441C2semidirect
4. #16104C2semidirect
5. #15846C2semidirect
6. #15228C2semidirect
7. #15216C2semidirect
10. #14697C2semidirect
11. #14130C2semidirect
12. #14054C2semidirect
13. #14039C2semidirect
14. #13907C2semidirect
15. #13880C2semidirect
103. C2×#125D4semidirect
740. C22#2441semidirect

Maximal subgroups

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

subgroupindex
C23×#1252
C2×#24412
C2×#23522
#161042
#158462
#152282
#152162
#147772
#147292
#146972
#141302
#140542
#140392
#139072
#138802
#138722
C4×#3862