Finite Group Databasebeta

← #917934

Subgroups — #917934

Order 512.

4286 conjugacy classes of subgroups.

The subgroup lattice has 825 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2539C211yesmaximal, characteristic
2C2×#2412C212yesmaximal, complemented
3C2×#2614C212yesmaximal, complemented
4C22×#393C211yesmaximal, characteristic, complemented
5#17106C212yesmaximal, complemented
6#17105C212yesmaximal, complemented
7#16374C214yesmaximal, complemented
8#16357C212yesmaximal, complemented
9#16303C212yesmaximal, complemented
10#15476C214yesmaximal, complemented
11#14926C212yesmaximal, complemented
12#14912C212yesmaximal, complemented
13#14911C212yesmaximal, complemented
14#13992C212yesmaximal, complemented
15#13869C211yesmaximal, characteristic, complemented
16C24×Q8C2211yescharacteristic
17C22×#123C2212yes—
18C22×#123C2212yes—
19C22×#123C2212yes—
20C22×#121C2211yescharacteristic
21C22×#120C2212yes—
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2212yes—
24C23×C22⋊C4C2211yescharacteristic
25#2614—216no—
26#2539—28no—
27#2412—216no—
28C2×#399C2211yescharacteristic
29C2×#399C2211yescharacteristic
30C2×#397C2214yes—
31C2×#395C2214yescomplemented
32C2×#395C2214yescomplemented
33C2×#394C2214yes—
34C2×#393—28no—
35C2×#393C2212yes—
36C2×#393C2212yes—
37C2×#393C2212yes—
38C2×#393C2212yes—
39C2×#393C2214yescomplemented
40C2×#393C2214yescomplemented
41C2×#392C2211yescharacteristic
42C2×#392C2211yescharacteristic
43C2×#390C2212yes—
44C2×#390C2212yes—
45C2×#386C2212yes—
46C2×#386C2214yes—
47C2×#386C2212yes—
48C2×#385C2212yes—
49C2×#381C2212yes—
50C2×#381C2212yes—
51C2×#381C2212yes—
52C2×#380C2214yes—
53C2×#379C2211yescharacteristic
54C2×C4×C22⋊C4C2211yescharacteristic
55C22×#95C2211yescharacteristic
56C22×#95C2212yes—
57#1444C2214yescomplemented
58#1443C2214yescomplemented
59#1442C2214yescomplemented
60#1442C2214yescomplemented
61#1441C2214yescomplemented
62#1440C2212yes—
63#1440C2212yes—
64#1440C2214yescomplemented
65#1439C2214yes—
66#1439C2214yes—
67#1439C2214yescomplemented
68#1439C2214yescomplemented
69#1439C2214yescomplemented
70#1438C2214yes—
71#1438C2214yes—
72#1438C2214yescomplemented
73#1436C2214yescomplemented
74#1434C2214yescomplemented
75C22⋊#95C2212yes—
76C22⋊#95C2212yes—
77C22⋊#95C2212yes—
78C22⋊#95C2212yes—
79C26C2311yescharacteristic
80C23×Q8—28no—
81C23×Q8—24no—
82C23×Q8—42no—
83C23×Q8—44no—
84C23×Q8—42no—
85C23×Q8C2312yes—
86C23×Q8C2312yes—
87C23×D4C2312yes—
88C23×D4C2312yes—
89C23×D4C2312yes—
90C23×D4C2311yescharacteristic
91C24×C4C2312yes—
92C24×C4C2311yescharacteristic
93C24×C4C2312yes—
94C24×C4C2312yes—
95C24×C4C2311yescharacteristic
96C2×#123—28no—
97C2×#123—28no—
98C2×#123—28no—
99C2×#123—28no—
100C2×#123—28no—
101C2×#123—44no—
102C2×#123—44no—
103C2×#123—44no—
104C2×#123—44no—
105C2×#121—24no—
106C2×#121—42no—
107C2×#121—42no—
108C2×#120—28no—
109C2×#120—28no—
110C2×#120—44no—
111C22×C4⋊C4C2314yes—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2314yes—
115C22×C4⋊C4C2314yes—
116C22×C4⋊C4C2311yescharacteristic
117C22×C22⋊C4—28no—
118C22×C22⋊C4—28no—
119C22×C22⋊C4—28no—
120C22×C22⋊C4—42no—
121C22×C22⋊C4—42no—
122C22×C22⋊C4—42no—
123C22×C22⋊C4—44no—
124C22×C22⋊C4D418yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2314yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2314yes—
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2311yescharacteristic
143C22×C22⋊C4C2311yescharacteristic
144C22×C22⋊C4C2311yescharacteristic
145C22×C22⋊C4C2311yescharacteristic
146C22×C42C2312yes—
147#399—24no—
148#399—24no—
149#397—216no—
150#395—216no—
151#395—216no—
152#394—216no—
153#393—28no—
154#393—28no—
155#393—28no—
156#393—28no—
157#393—216no—
158#393—216no—
159#392—24no—
160#392—24no—
161#390—28no—
162#390—28no—
163#386—28no—
164#386—216no—
165#386—44no—
166#385—28no—
167#381—28no—
168#381—28no—
169#381D4116yescomplemented
170#380—216no—
171#379—42no—
172C4×C22⋊C4—24no—
173C2×#95—28no—
174C2×#95—24no—
175C2×#95C2311yescharacteristic
176C2×#95C2311yescharacteristic
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C25—24no—
195C25—24no—
196C25—22no—
197C25—24no—
198C25—22no—
199C25—42no—
200C25—44no—
201C25C2×D414yes—
202C25C2412yes—
203C25C2411yescharacteristic
204C25C2411yescharacteristic
205C25C2411yescharacteristic
206C22×Q8—24no—
207C22×Q8—24no—
208C22×Q8—28no—
209C22×Q8—28no—
210C22×Q8—42no—
211C22×Q8—42no—
212C22×Q8—44no—
213C22×Q8—44no—
214C22×Q8—42no—
215C22×Q8—42no—
216C22×Q8—432no—
217C22×Q8—416no—
218C22×Q8—416no—
219C22×Q8—432no—
220C22×Q8—416no—
221C22×D4—24no—
222C22×D4—24no—
223C22×D4—24no—
224C22×D4—24no—
225C22×D4—24no—
226C22×D4—24no—
227C22×D4—24no—
228C22×D4—24no—
229C22×D4—24no—
230C22×D4—28no—
231C22×D4—24no—
232C22×D4—24no—
233C22×D4—22no—
234C22×D4—42no—
235C22×D4—42no—
236C22×D4—41no—
237C22×D4—41no—
238C22×D4—44no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4—44no—
242C23×C4—24no—
243C23×C4—24no—
244C23×C4—24no—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—24no—
248C23×C4—24no—
249C23×C4—24no—
250C23×C4—24no—
251C23×C4—24no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—24no—
255C23×C4—24no—
256C23×C4—24no—
257C23×C4—24no—
258C23×C4—28no—
259C23×C4—42no—
260C23×C4—44no—
261C23×C4—44no—
262C23×C4—44no—
263C23×C4—44no—
264C23×C4—42no—
265C23×C4C2×D418yes—
266C23×C4C2×D414yes—
267C23×C4C2×D414yes—
268C23×C4C2414yes—
269C23×C4C2414yes—
270C23×C4C2412yes—
271C23×C4C2414yes—
272C23×C4C2411yescharacteristic
273C23×C4C2411yescharacteristic
274C23×C4C2414yes—
275C23×C4C2411yescharacteristic
276C23×C4C2412yes—
277C23×C4C2412yes—
278C23×C4C2411yescharacteristic
279#123—432no—
280#123—432no—
281#123—432no—
282#121—416no—
283#120—432no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—28no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—28no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—28no—
292C2×C4⋊C4—28no—
293C2×C4⋊C4—41no—
294C2×C4⋊C4—41no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—42no—
297C2×C4⋊C4—42no—
298C2×C4⋊C4—44no—
299C2×C4⋊C4—44no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—44no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—28no—
328C2×C22⋊C4—416no—
329C2×C22⋊C4—416no—
330C2×C22⋊C4—41no—
331C2×C22⋊C4—41no—
332C2×C22⋊C4—41no—
333C2×C22⋊C4—41no—
334C2×C22⋊C4—41no—
335C2×C22⋊C4—41no—
336C2×C22⋊C4—41no—
337C2×C22⋊C4—41no—
338C2×C22⋊C4—42no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—42no—
342C2×C22⋊C4—42no—
343C2×C22⋊C4—42no—
344C2×C22⋊C4—42no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—42no—
347C2×C22⋊C4—42no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—432no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—42no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—42no—
358C2×C22⋊C4—42no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4C2×D418yes—
361C2×C22⋊C4C2×D418yes—
362C2×C22⋊C4C2×D414yes—
363C2×C22⋊C4C2×D414yes—
364C2×C22⋊C4C2×D414yes—
365C2×C22⋊C4C2×D414yes—
366C2×C42—24no—
367C2×C42—44no—
368#95—28no—
369#95—28no—
370#95—24no—
371#95—24no—
372#95—22no—
373#95—22no—
374#95—28no—
375#95—28no—
376#95—28no—
377#95—28no—
378#95—28no—
379#95—28no—
380#95—44no—
381#95—44no—
382#95—44no—
383#95—44no—
384#95—44no—
385#95C2×D4116yes—
386#95C2×D4116yes—
387C24—22no—
388C24—22no—
389C24—24no—
390C24—22no—
391C24—21no—
392C24—22no—
393C24—21no—
394C24—22no—
395C24—24no—
396C24—28no—
397C24—22no—
398C24—21no—
399C24—21no—
400C24—22no—
401C24—22no—
402C24—24no—
403C24—22no—
404C24—28no—
405C24—216no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24—24no—
414C24—24no—
415C24—24no—
416C24—24no—
417C24—44no—
418C24—48no—
419C24—416no—
420C24—48no—
421C24—48no—
422C24—416no—
423C24—48no—
424C24—44no—
425C24—44no—
426C24—88no—
427C24—84no—
428C24—84no—
429C24—88no—
430C24C22×D412yes—
431C24C22×D412yes—
432C24C22×D412yes—
433C24C22×D414yes—
434C24H(5,𝔽2)12yes—
435C24H(5,𝔽2)12yes—
436C24H(5,𝔽2)14yes—
437C242−1+414yes—
438C24C2511yescharacteristic
439C2×Q8—416no—
440C2×Q8—416no—
441C2×Q8—48no—
442C2×Q8—48no—
443C2×Q8—48no—
444C2×Q8—48no—
445C2×Q8—416no—
446C2×Q8—416no—
447C2×Q8—4128no—
448C2×Q8—48no—
449C2×Q8—48no—
450C2×D4—48no—
451C2×D4—48no—
452C2×D4—416no—
453C2×D4—44no—
454C2×D4—48no—
455C2×D4—48no—
456C2×D4—48no—
457C2×D4—48no—
458C2×D4—48no—
459C2×D4—48no—
460C2×D4—48no—
461C2×D4—48no—
462C2×D4—48no—
463C2×D4—84no—
464C2×D4—88no—
465C2×D4—84no—
466C2×D4—84no—
467C2×D4—88no—
468C2×D4—84no—
469C2×D4—84no—
470C2×D4—88no—
471C22×C4—28no—
472C22×C4—216no—
473C22×C4—216no—
474C22×C4—216no—
475C22×C4—216no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—28no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—24no—
525C22×C4—24no—
526C22×C4—24no—
527C22×C4—24no—
528C22×C4—24no—
529C22×C4—24no—
530C22×C4—24no—
531C22×C4—24no—
532C22×C4—48no—
533C22×C4—48no—
534C22×C4—416no—
535C22×C4—48no—
536C22×C4—48no—
537C22×C4—48no—
538C22×C4—44no—
539C22×C4—48no—
540C22×C4—44no—
541C22×C4—48no—
542C22×C4—48no—
543C22×C4—48no—
544C22×C4—48no—
545C22×C4—88no—
546C22×C4—84no—
547C22×C4—84no—
548C22×C4—84no—
549C22×C4—88no—
550C22×C4—88no—
551C22×C4—84no—
552C22×C4C22×D412yes—
553C22×C4C22×D414yes—
554C22×C4C22×D412yes—
555C22×C4C22×D418yes—
556C22×C4C22×D414yes—
557C22×C4C22×D412yes—
558C22×C4C22×D412yes—
559C22×C4C22×D418yes—
560C4⋊C4—416no—
561C4⋊C4—48no—
562C4⋊C4—48no—
563C4⋊C4—44no—
564C4⋊C4—416no—
565C4⋊C4—88no—
566C22⋊C4—216no—
567C22⋊C4—216no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—48no—
573C22⋊C4—416no—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C22⋊C4—416no—
577C22⋊C4—416no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—48no—
581C22⋊C4—416no—
582C22⋊C4—48no—
583C22⋊C4—88no—
584C22⋊C4—84no—
585C22⋊C4—84no—
586C22⋊C4—88no—
587C42—84no—
588C23—22no—
589C23—22no—
590C23—24no—
591C23—28no—
592C23—28no—
593C23—28no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—28no—
598C23—24no—
599C23—22no—
600C23—22no—
601C23—24no—
602C23—24no—
603C23—28no—
604C23—24no—
605C23—24no—
606C23—28no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—24no—
611C23—24no—
612C23—432no—
613C23—416no—
614C23—42no—
615C23—41no—
616C23—44no—
617C23—41no—
618C23—42no—
619C23—42no—
620C23—44no—
621C23—416no—
622C23—42no—
623C23—41no—
624C23—44no—
625C23—44no—
626C23—41no—
627C23—44no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—44no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—44no—
644C23—44no—
645C23—44no—
646C23—44no—
647C23—42no—
648C23—44no—
649C23—44no—
650C23—44no—
651C23—44no—
652C23—44no—
653C23—44no—
654C23—44no—
655C23—44no—
656C23—816no—
657C23—88no—
658C23—832no—
659C23—816no—
660C23—816no—
661C23#53414yes—
662C23#53518yes—
663C23#53614yes—
664C23D4214yes—
665C23D4218yes—
666C23#56014yes—
667C23C23×D411yescharacteristic
668C23C23×D412yes—
669C23C2×H(5,𝔽2)11yescharacteristic
670C23C2×H(5,𝔽2)11yescharacteristic
671C23C2×H(5,𝔽2)12yes—
672C23C2×2−1+412yes—
673C23#58512yes—
674C23#58514yes—
675Q8—432no—
676Q8—432no—
677D4—816no—
678D4—816no—
679D4—88no—
680D4—816no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—28no—
686C2×C4—28no—
687C2×C4—24no—
688C2×C4—24no—
689C2×C4—28no—
690C2×C4—24no—
691C2×C4—24no—
692C2×C4—28no—
693C2×C4—24no—
694C2×C4—24no—
695C2×C4—28no—
696C2×C4—28no—
697C2×C4—28no—
698C2×C4—28no—
699C2×C4—416no—
700C2×C4—432no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—41no—
709C2×C4—41no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—41no—
715C2×C4—41no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—44no—
725C2×C4—42no—
726C2×C4—44no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—42no—
732C2×C4—42no—
733C2×C4—42no—
734C2×C4—44no—
735C2×C4—44no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—42no—
740C2×C4—44no—
741C2×C4—44no—
742C2×C4—44no—
743C2×C4—44no—
744C2×C4—44no—
745C2×C4—44no—
746C2×C4—88no—
747C2×C4—816no—
748C2×C4—816no—
749C22—28no—
750C22—216no—
751C22—24no—
752C22—28no—
753C22—28no—
754C22—28no—
755C22—24no—
756C22—28no—
757C22—24no—
758C22—48no—
759C22—42no—
760C22—44no—
761C22—44no—
762C22—44no—
763C22—42no—
764C22—44no—
765C22—42no—
766C22—42no—
767C22—44no—
768C22—42no—
769C22—832no—
770C22—84no—
771C22—82no—
772C22—82no—
773C22—82no—
774C22—82no—
775C22—84no—
776C22—84no—
777C22—82no—
778C22—82no—
779C22—82no—
780C22—82no—
781C22—84no—
782C22—84no—
783C22—82no—
784C22#266918yes—
785C22C2×#53411yescharacteristic
786C22C2×#53512yes—
787C22C2×#53611yescharacteristic
788C22#344911yescharacteristic
789C22C2×D4212yes—
790C22C2×D4211yescharacteristic
791C22#348512yes—
792C22#348914yes—
793C22#350014yes—
794C22C2×#56011yescharacteristic
795C22#353514yes—
796C22#353512yes—
797C22#353512yes—
798C22#354512yes—
799C22#354514yes—
800C22#354512yes—
801C4—44no—
802C4—42no—
803C4—42no—
804C4—48no—
805C4—44no—
806C4—48no—
807C4—42no—
808C4—42no—
809C4—84no—
810C4—82no—
811C4—84no—
812C2—28no—
813C2—44no—
814C2—82no—
815C2—162no—
816C2#3711911yescharacteristic
817C2#3744711yescharacteristic
818C2#3764712yes—
819C2#3933312yes—
820C2#4229614yes—
821C2#4476012yes—
822C2C2×#266911yescharacteristic
823C2#5291212yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2539C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2412C2semidirect
3. C2×#2614C2semidirect
4. C22×#393C2semidirect
5. #17106C2semidirect
6. #17105C2semidirect
7. #16374C2semidirect
8. #16357C2semidirect
9. #16303C2semidirect
10. #15476C2semidirect
11. #14926C2semidirect
12. #14912C2semidirect
13. #14911C2semidirect
14. #13992C2semidirect
15. #13869C2semidirect
31. C2×#395C22semidirect
32. C2×#395C22semidirect
39. C2×#393C22semidirect
40. C2×#393C22semidirect
57. #1444C22semidirect
58. #1443C22semidirect
59. #1442C22semidirect
60. #1442C22semidirect
61. #1441C22semidirect
64. #1440C22semidirect
67. #1439C22semidirect
68. #1439C22semidirect
69. #1439C22semidirect
72. #1438C22semidirect
73. #1436C22semidirect
74. #1434C22semidirect
169. #381D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25392
C2×#24122
C2×#26142
C22×#3932
#171062
#171052
#163742
#163572
#163032
#154762
#149262
#149122
#149112
#139922
#138692