Finite Group Databasebeta

← #766192

Subgroups — #766192

Order 512.

4030 conjugacy classes of subgroups.

The subgroup lattice has 839 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#396C211yesmaximal, characteristic, complemented
2C2×#2308C211yesmaximal, characteristic
3#15922C214yesmaximal, complemented
4#15471C214yesmaximal, complemented
5#15413C214yesmaximal, complemented
6#15297C214yesmaximal, complemented
7#15091C212yesmaximal, complemented
8#14776C212yesmaximal, complemented
9#14020C212yesmaximal, complemented
10#14019C212yesmaximal, complemented
11#13869C211yesmaximal, characteristic, complemented
12#13869C211yesmaximal, characteristic, complemented
13#13867C211yesmaximal, characteristic
14#13867C211yesmaximal, characteristic
15#13775C211yesmaximal, characteristic, complemented
16C24×D4C2211yescharacteristic
17C23×C4⋊C4C2211yescharacteristic, complemented
18C23×C4⋊C4C2211yescharacteristic, complemented
19C23×C4⋊C4C2211yescharacteristic, complemented
20C23×C22⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C2×#397C2214yescomplemented
25C2×#396—28no—
26C2×#396C2214yes—
27C2×#396C2214yescomplemented
28#2308—28no—
29C2×#388C2214yescomplemented
30C2×#386C2212yes—
31C2×#386C2212yes—
32C2×#386C2212yes—
33C2×#386C2212yes—
34C2×#386C2212yes—
35C2×#386C2212yes—
36C2×#386C2212yes—
37C2×#386C2212yes—
38C2×#381C2212yes—
39C2×#381C2212yescomplemented
40C2×#381C2212yescomplemented
41C2×#379C2211yescharacteristic
42C2×#379C2211yescharacteristic
43C2×#379C2212yes—
44C2×#379C2212yes—
45C2×#379C2212yes—
46C2×C4×C22⋊C4C2212yescomplemented
47C22×#95C2211yescharacteristic, complemented
48#1445C2214yescomplemented
49#1443C2214yescomplemented
50#1442C2214yescomplemented
51#1442C2214yescomplemented
52#1442C2214yescomplemented
53#1442C2214yescomplemented
54#1440C2214yes—
55#1440C2214yes—
56#1440C2214yescomplemented
57#1439C2214yescomplemented
58#1439C2214yescomplemented
59#1439C2214yescomplemented
60#1439C2214yescomplemented
61#1438C2214yes—
62#1438C2214yes—
63#1437C2214yes—
64#1437C2214yescomplemented
65#1437C2214yescomplemented
66#1436C2214yescomplemented
67#1434C2214yescomplemented
68C22⋊#95C2212yes—
69C22⋊#95C2212yes—
70C22⋊#95C2212yescomplemented
71C22⋊#95C2212yescomplemented
72C22⋊#95C2212yescomplemented
73C22⋊#95C2212yescomplemented
74C22⋊#95C2212yescomplemented
75C22⋊#95C2212yescomplemented
76C22⋊#95C2212yescomplemented
77C26C2311yescharacteristic
78C26C2311yescharacteristic
79C23×D4—24no—
80C23×D4—28no—
81C23×D4—24no—
82C23×D4—24no—
83C23×D4—44no—
84C23×D4C2312yes—
85C23×D4C2312yes—
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C22×C4⋊C4—24no—
96C22×C4⋊C4—24no—
97C22×C4⋊C4—24no—
98C22×C4⋊C4—44no—
99C22×C4⋊C4—44no—
100C22×C4⋊C4—44no—
101C22×C4⋊C4C2314yes—
102C22×C4⋊C4C2314yes—
103C22×C4⋊C4C2314yes—
104C22×C22⋊C4—24no—
105C22×C22⋊C4—24no—
106C22×C22⋊C4—24no—
107C22×C22⋊C4—24no—
108C22×C22⋊C4—24no—
109C22×C22⋊C4—44no—
110C22×C22⋊C4—44no—
111C22×C22⋊C4—44no—
112C22×C22⋊C4D418yes—
113C22×C22⋊C4C2312yes—
114C22×C22⋊C4C2312yes—
115C22×C22⋊C4C2312yes—
116C22×C22⋊C4C2312yes—
117C22×C22⋊C4C2312yes—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C42C2314yes—
136#397—48no—
137#396—216no—
138#396—216no—
139#388—48no—
140#386—28no—
141#386—28no—
142#386—28no—
143#386—28no—
144#386—28no—
145#386—28no—
146#386—44no—
147#386—44no—
148#381—28no—
149#381—44no—
150#381—44no—
151#379—24no—
152#379—24no—
153#379—28no—
154#379—44no—
155#379—44no—
156C4×C22⋊C4—44no—
157C2×#95—24no—
158C2×#95C2314yes—
159C2×#95C2314yes—
160C2×#95C2314yes—
161C2×#95C2314yes—
162C2×#95C2314yes—
163C2×#95C2312yes—
164C2×#95C2312yes—
165C2×#95C2312yes—
166C2×#95C2312yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C25—24no—
179C25—24no—
180C25—22no—
181C25—24no—
182C25—22no—
183C25—22no—
184C25—42no—
185C25—42no—
186C25—42no—
187C25—42no—
188C25—42no—
189C25—42no—
190C25—42no—
191C25—42no—
192C25—42no—
193C25C2×D414yes—
194C25#4114yes—
195C25#4114yes—
196C25C2412yes—
197C25C2411yescharacteristic
198C25C2411yescharacteristic
199C25C2411yescharacteristic
200C22×D4—232no—
201C22×D4—24no—
202C22×D4—24no—
203C22×D4—24no—
204C22×D4—24no—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—24no—
211C22×D4—24no—
212C22×D4—42no—
213C22×D4—42no—
214C22×D4—432no—
215C22×D4—432no—
216C22×D4—416no—
217C22×D4—416no—
218C22×D4#4118yes—
219C23×C4—22no—
220C23×C4—22no—
221C23×C4—22no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—24no—
240C23×C4—24no—
241C23×C4—42no—
242C23×C4—42no—
243C23×C4—42no—
244C23×C4—42no—
245C23×C4—42no—
246C23×C4—42no—
247C23×C4—42no—
248C23×C4—42no—
249C23×C4—42no—
250C23×C4—42no—
251C23×C4—42no—
252C23×C4—42no—
253C23×C4—42no—
254C23×C4—42no—
255C23×C4—42no—
256C23×C4C2×D414yes—
257C23×C4C2×D414yes—
258C23×C4C2414yes—
259C23×C4C2414yes—
260C23×C4C2412yes—
261C23×C4C2412yes—
262C23×C4C2412yes—
263C23×C4C2412yes—
264C23×C4C2412yes—
265C23×C4C2412yes—
266C23×C4C2412yes—
267C23×C4C2412yes—
268C23×C4C2412yes—
269C2×C4⋊C4—28no—
270C2×C4⋊C4—28no—
271C2×C4⋊C4—28no—
272C2×C4⋊C4—28no—
273C2×C4⋊C4—28no—
274C2×C4⋊C4—44no—
275C2×C4⋊C4—44no—
276C2×C4⋊C4—44no—
277C2×C4⋊C4—44no—
278C2×C4⋊C4—416no—
279C2×C4⋊C4—416no—
280C2×C4⋊C4—416no—
281C2×C22⋊C4—24no—
282C2×C22⋊C4—24no—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—24no—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—28no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—416no—
314C2×C22⋊C4—42no—
315C2×C22⋊C4—42no—
316C2×C22⋊C4—42no—
317C2×C22⋊C4—42no—
318C2×C22⋊C4—42no—
319C2×C22⋊C4—42no—
320C2×C22⋊C4—42no—
321C2×C22⋊C4—42no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—416no—
324C2×C22⋊C4—416no—
325C2×C22⋊C4—416no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—42no—
330C2×C22⋊C4—42no—
331C2×C22⋊C4—42no—
332C2×C22⋊C4—42no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—42no—
335C2×C22⋊C4—42no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—42no—
339C2×C22⋊C4—42no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4C2×D418yes—
346C2×C22⋊C4C2×D418yes—
347C2×C42—44no—
348C2×C42—44no—
349C2×C42—44no—
350#95—28no—
351#95—24no—
352#95—24no—
353#95—24no—
354#95—24no—
355#95—28no—
356#95—28no—
357#95—28no—
358#95—28no—
359#95—44no—
360#95—44no—
361#95—44no—
362#95—44no—
363#95—44no—
364#95—44no—
365#95—44no—
366#95—44no—
367#95—44no—
368#95—44no—
369#95—44no—
370C24—22no—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—28no—
387C24—28no—
388C24—216no—
389C24—216no—
390C24—28no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—24no—
396C24—24no—
397C24—22no—
398C24—22no—
399C24—24no—
400C24—24no—
401C24—44no—
402C24—44no—
403C24—44no—
404C24—44no—
405C24—48no—
406C24—48no—
407C24—48no—
408C24—48no—
409C24—48no—
410C24—48no—
411C24—44no—
412C24—48no—
413C24—48no—
414C24—44no—
415C24—88no—
416C24—88no—
417C24—88no—
418C24—88no—
419C24—82no—
420C24—82no—
421C24—82no—
422C24—82no—
423C24—84no—
424C24—84no—
425C24—88no—
426C24—88no—
427C24—88no—
428C24—88no—
429C24#124116yes—
430C24C22×D412yes—
431C24C22×D412yes—
432C24C22×D412yes—
433C24C2×#4114yes—
434C24C2×#4112yes—
435C24C2×#4112yes—
436C24C2×#4112yes—
437C24C2×#4112yes—
438C24C2×#4114yes—
439C24C2×#4112yes—
440C24C2×#4112yes—
441C24H(5,𝔽2)14yes—
442C24C2511yescharacteristic
443C2×D4—216no—
444C2×D4—216no—
445C2×D4—216no—
446C2×D4—216no—
447C2×D4—48no—
448C2×D4—48no—
449C2×D4—48no—
450C2×D4—48no—
451C2×D4—4128no—
452C2×D4—48no—
453C2×D4—48no—
454C2×D4—48no—
455C2×D4—48no—
456C2×D4—48no—
457C2×D4—48no—
458C22×C4—28no—
459C22×C4—28no—
460C22×C4—28no—
461C22×C4—28no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—28no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—416no—
524C22×C4—416no—
525C22×C4—48no—
526C22×C4—48no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—416no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—44no—
535C22×C4—44no—
536C22×C4—44no—
537C22×C4—44no—
538C22×C4—48no—
539C22×C4—48no—
540C22×C4—44no—
541C22×C4—44no—
542C22×C4—44no—
543C22×C4—44no—
544C22×C4—88no—
545C22×C4—82no—
546C22×C4—82no—
547C22×C4—82no—
548C22×C4—82no—
549C22×C4—84no—
550C22×C4—84no—
551C22×C4—88no—
552C22×C4—88no—
553C22×C4C22×D414yes—
554C22×C4C22×D414yes—
555C22×C4C2×#4114yes—
556C22×C4H(5,𝔽2)14yes—
557C22×C4H(5,𝔽2)14yes—
558C4⋊C4—416no—
559C4⋊C4—416no—
560C4⋊C4—416no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—416no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—84no—
573C22⋊C4—84no—
574C22⋊C4—84no—
575C22⋊C4—84no—
576C22⋊C4—88no—
577C22⋊C4—84no—
578C22⋊C4—84no—
579C22⋊C4—84no—
580C22⋊C4—84no—
581C22⋊C4—88no—
582C22⋊C4—88no—
583C42—88no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—28no—
593C23—28no—
594C23—28no—
595C23—28no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—24no—
613C23—24no—
614C23—24no—
615C23—24no—
616C23—24no—
617C23—24no—
618C23—24no—
619C23—24no—
620C23—232no—
621C23—24no—
622C23—24no—
623C23—24no—
624C23—28no—
625C23—28no—
626C23—416no—
627C23—416no—
628C23—416no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—44no—
646C23—44no—
647C23—44no—
648C23—44no—
649C23—44no—
650C23—44no—
651C23—44no—
652C23—44no—
653C23—44no—
654C23—44no—
655C23—88no—
656C23—88no—
657C23—88no—
658C23—832no—
659C23—832no—
660C23—88no—
661C23—88no—
662C23—88no—
663C23—88no—
664C23—88no—
665C23—832no—
666C23—832no—
667C23—88no—
668C23—88no—
669C23#52514yes—
670C23C2×#12414yes—
671C23C2×#12414yes—
672C23C2×#12414yes—
673C23#53414yes—
674C23#55118yes—
675C23#55118yes—
676C23C23×D411yescharacteristic
677C23C22×#4112yes—
678C23C22×#4111yescharacteristic
679C23C22×#4111yescharacteristic
680C23C2×H(5,𝔽2)12yes—
681C23C2×H(5,𝔽2)12yes—
682C23C2×H(5,𝔽2)12yes—
683C23#58512yes—
684C23#58512yes—
685D4—432no—
686D4—432no—
687C2×C4—24no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—24no—
691C2×C4—24no—
692C2×C4—24no—
693C2×C4—24no—
694C2×C4—24no—
695C2×C4—24no—
696C2×C4—24no—
697C2×C4—24no—
698C2×C4—28no—
699C2×C4—28no—
700C2×C4—416no—
701C2×C4—416no—
702C2×C4—416no—
703C2×C4—416no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—42no—
731C2×C4—42no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—44no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—44no—
740C2×C4—44no—
741C2×C4—44no—
742C2×C4—44no—
743C2×C4—44no—
744C2×C4—44no—
745C2×C4—44no—
746C2×C4—44no—
747C2×C4—44no—
748C2×C4—44no—
749C2×C4—44no—
750C2×C4—44no—
751C2×C4—44no—
752C2×C4—88no—
753C2×C4—88no—
754C2×C4—88no—
755C2×C4—88no—
756C2×C4—88no—
757C22—24no—
758C22—24no—
759C22—24no—
760C22—24no—
761C22—24no—
762C22—216no—
763C22—216no—
764C22—24no—
765C22—24no—
766C22—24no—
767C22—24no—
768C22—24no—
769C22—24no—
770C22—24no—
771C22—42no—
772C22—42no—
773C22—42no—
774C22—42no—
775C22—42no—
776C22—42no—
777C22—48no—
778C22—48no—
779C22—48no—
780C22—48no—
781C22—42no—
782C22—42no—
783C22—44no—
784C22—44no—
785C22—44no—
786C22—48no—
787C22—48no—
788C22—832no—
789C22—832no—
790C22—82no—
791C22—82no—
792C22—82no—
793C22—84no—
794C22—84no—
795C22—82no—
796C22#256118yes—
797C22C2×#52511yescharacteristic
798C22C22×#12411yescharacteristic
799C22C2×#53411yescharacteristic
800C22C2×#55112yes—
801C22C2×#55112yes—
802C22#348411yescharacteristic
803C22#348411yescharacteristic
804C22#348511yescharacteristic
805C22#348511yescharacteristic
806C22#350512yes—
807C22#350512yes—
808C22#350512yes—
809C22#350512yes—
810C22#351914yes—
811C22#352114yes—
812C22#353414yes—
813C22#354214yes—
814C4—44no—
815C4—44no—
816C4—44no—
817C4—44no—
818C4—44no—
819C4—82no—
820C4—82no—
821C4—82no—
822C4—82no—
823C4—84no—
824C4—84no—
825C2—28no—
826C2—44no—
827C2—44no—
828C2—84no—
829C2C2×#256111yescharacteristic
830C2#3535511yescharacteristic
831C2#3537711yescharacteristic
832C2#3537711yescharacteristic
833C2#3545211yescharacteristic
834C2#3671511yescharacteristic
835C2#3711711yescharacteristic
836C2#4314814yes—
837C2#4314914yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC24×D4C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#396C2semidirect
3. #15922C2semidirect
4. #15471C2semidirect
5. #15413C2semidirect
6. #15297C2semidirect
7. #15091C2semidirect
8. #14776C2semidirect
9. #14020C2semidirect
10. #14019C2semidirect
11. #13869C2semidirect
12. #13869C2semidirect
15. #13775C2semidirect
17. C23×C4⋊C4C22semidirect
18. C23×C4⋊C4C22semidirect
19. C23×C4⋊C4C22semidirect
24. C2×#397C22semidirect
27. C2×#396C22semidirect
29. C2×#388C22semidirect
39. C2×#381C22semidirect
40. C2×#381C22semidirect
46. C2×C4×C22⋊C4C22semidirect
47. C22×#95C22semidirect
48. #1445C22semidirect
49. #1443C22semidirect
50. #1442C22semidirect
51. #1442C22semidirect
52. #1442C22semidirect
53. #1442C22semidirect
56. #1440C22semidirect
57. #1439C22semidirect
58. #1439C22semidirect
59. #1439C22semidirect
60. #1439C22semidirect
64. #1437C22semidirect
65. #1437C22semidirect
66. #1436C22semidirect
67. #1434C22semidirect
70. C22⋊#95C22semidirect
71. C22⋊#95C22semidirect
72. C22⋊#95C22semidirect
73. C22⋊#95C22semidirect
74. C22⋊#95C22semidirect
75. C22⋊#95C22semidirect
76. C22⋊#95C22semidirect

Maximal subgroups

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

subgroupindex
C22×#3962
C2×#23082
#159222
#154712
#154132
#152972
#150912
#147762
#140202
#140192
#138692
#138672
#137752