Finite Group Databasebeta

← #846400

Subgroups — #846400

Order 512.

3848 conjugacy classes of subgroups.

The subgroup lattice has 824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2547C211yesmaximal, characteristic, complemented
2C2×C4×#120C211yesmaximal, characteristic
3#16380C214yesmaximal, complemented
4#15784C212yesmaximal, complemented
5#15579C212yesmaximal, complemented
6#15480C212yesmaximal, complemented
7#15259C212yesmaximal
8#15181C212yesmaximal, complemented
9#15132C212yesmaximal, complemented
10#15125C212yesmaximal, complemented
11#14680C212yesmaximal, complemented
12#14553C214yesmaximal, complemented
13#13993C212yesmaximal, complemented
14#13871C212yesmaximal, complemented
15#13871C211yesmaximal, characteristic, complemented
16C25×C4C2211yescharacteristic
17C22×C4⋊Q8C2211yescharacteristic, complemented
18C22×#124C2212yes—
19C22×#120C2211yescharacteristic
20C22×C4×D4C2212yes—
21C22×C4×D4C2211yescharacteristic
22C22×#117C2211yescharacteristic, complemented
23#2547—28no—
24C2×#397C2212yes—
25C2×#397C2214yes—
26C2×#397C2212yescomplemented
27C2×#393C2214yes—
28C4×#120—28no—
29C2×#391C2212yescomplemented
30C2×#389C2212yescomplemented
31C2×#386C2211yescharacteristic
32C2×#386C2212yes—
33C2×#385C2212yes—
34C2×#385C2211yescharacteristic
35C2×#380C2212yes—
36C2×#380C2212yes—
37C2×#380C2212yes—
38C2×#380C2212yes—
39C2×#380C2212yes—
40C2×#380C2212yes—
41C2×#380C2212yescomplemented
42C2×#380C2211yescharacteristic, complemented
43C2×#379C2211yescharacteristic
44C2×#379C2214yes—
45C2×C4×C4⋊C4C2211yescharacteristic, complemented
46C2×C4×C22⋊C4C2212yes—
47C2×C4×C22⋊C4C2211yescharacteristic
48#1446C2214yescomplemented
49#1443C2214yescomplemented
50#1443C2214yescomplemented
51#1442C2214yescomplemented
52#1442C2214yescomplemented
53#1442C2214yescomplemented
54#1440C2214yes—
55#1440C2214yescomplemented
56#1440C2212yescomplemented
57#1439C2214yes—
58#1439C2214yes—
59#1439C2214yes—
60#1439C2214yescomplemented
61#1438C2212yes—
62#1438C2214yes—
63#1438C2214yes—
64#1437C2214yes—
65#1437C2212yes—
66#1437C2214yes—
67#1436C2212yescomplemented
68#1436C2214yescomplemented
69#1436C2214yescomplemented
70C4⋊#95C2212yescomplemented
71C4⋊#95C2212yescomplemented
72C4⋊#95C2212yescomplemented
73C4⋊#95C2212yescomplemented
74C22⋊#95C2214yes—
75C22⋊#95C2214yes—
76C22⋊#95C2214yes—
77C26C2311yescharacteristic
78C23×Q8C2312yes—
79C23×D4C2312yes—
80C23×D4C2311yescharacteristic
81C24×C4—24no—
82C24×C4—28no—
83C24×C4—42no—
84C24×C4—44no—
85C24×C4—42no—
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2312yes—
89C24×C4C2311yescharacteristic
90C24×C4C2312yes—
91C2×C4⋊Q8—24no—
92C2×C4⋊Q8—42no—
93C2×C4⋊Q8—42no—
94C2×#124—28no—
95C2×#124—48no—
96C2×#120—24no—
97C2×#120—28no—
98C2×C4×D4—28no—
99C2×C4×D4—28no—
100C2×C4×D4—42no—
101C2×C4×D4—42no—
102C2×C4×D4—44no—
103C2×C4×D4D418yes—
104C2×#117—42no—
105C2×#117—44no—
106C22×C4⋊C4C2312yes—
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2314yes—
113C22×C4⋊C4C2311yescharacteristic
114C22×C22⋊C4C2311yescharacteristic
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2311yescharacteristic
117C22×C22⋊C4C2312yes—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2311yescharacteristic
130C22×C22⋊C4C2311yescharacteristic
131C22×C42C2312yes—
132C22×C42C2311yescharacteristic
133C22×C42C2312yes—
134C22×C42C2312yes—
135#397—28no—
136#397—28no—
137#397—48no—
138#393—216no—
139#391—28no—
140#389—44no—
141#386—24no—
142#386—28no—
143#385—28no—
144#385—24no—
145#380—28no—
146#380—28no—
147#380—28no—
148#380—44no—
149#380—44no—
150#380—44no—
151#380—44no—
152#380—42no—
153#379—24no—
154#379—48no—
155C4×C4⋊C4—24no—
156C4×C22⋊C4—24no—
157C4×C22⋊C4—28no—
158C2×#95C2314yes—
159C2×#95C2314yes—
160C2×#95C2314yes—
161C2×#95C2312yes—
162C2×#95C2314yes—
163C2×#95C2314yes—
164C2×#95C2314yes—
165C2×#95C2312yes—
166C2×#95C2312yes—
167C2×#95C2312yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2312yes—
178C2×#95C2314yes—
179C25—22no—
180C25—24no—
181C25—24no—
182C25—24no—
183C25—24no—
184C25—42no—
185C25—41no—
186C25—41no—
187C25—42no—
188C25C2411yescharacteristic
189C25C2411yescharacteristic
190C25C2412yes—
191C22×Q8—24no—
192C22×Q8—28no—
193C22×Q8—44no—
194C22×Q8—42no—
195C22×Q8—42no—
196C22×D4—24no—
197C22×D4—24no—
198C22×D4—24no—
199C22×D4—24no—
200C22×D4—24no—
201C22×D4—24no—
202C22×D4—24no—
203C22×D4—41no—
204C22×D4—41no—
205C22×D4—42no—
206C22×D4—42no—
207C22×D4C2×D414yes—
208C23×C4—24no—
209C23×C4—24no—
210C23×C4—24no—
211C23×C4—24no—
212C23×C4—22no—
213C23×C4—24no—
214C23×C4—22no—
215C23×C4—22no—
216C23×C4—24no—
217C23×C4—22no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—22no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—41no—
228C23×C4—42no—
229C23×C4—41no—
230C23×C4—42no—
231C23×C4—42no—
232C23×C4—42no—
233C23×C4—42no—
234C23×C4—432no—
235C23×C4—416no—
236C23×C4—416no—
237C23×C4—432no—
238C23×C4—416no—
239C23×C4C2×D414yes—
240C23×C4C2×D414yes—
241C23×C4#4118yes—
242C23×C4C2414yes—
243C23×C4C2414yes—
244C23×C4C2414yes—
245C23×C4C2412yes—
246C23×C4C2414yes—
247C23×C4C2411yescharacteristic
248C23×C4C2411yescharacteristic
249C23×C4C2411yescharacteristic
250C23×C4C2412yes—
251C23×C4C2412yes—
252C23×C4C2411yescharacteristic
253C23×C4C2411yescharacteristic
254C4⋊Q8—416no—
255#124—432no—
256#120—232no—
257C4×D4—416no—
258C4×D4—432no—
259#117—416no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—41no—
276C2×C4⋊C4—41no—
277C2×C4⋊C4—42no—
278C2×C4⋊C4—42no—
279C2×C4⋊C4—42no—
280C2×C4⋊C4—44no—
281C2×C4⋊C4—44no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4C2×D414yes—
284C2×C22⋊C4—22no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—24no—
289C2×C22⋊C4—28no—
290C2×C22⋊C4—28no—
291C2×C22⋊C4—22no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—28no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—28no—
305C2×C22⋊C4—42no—
306C2×C22⋊C4—44no—
307C2×C22⋊C4—42no—
308C2×C22⋊C4—41no—
309C2×C22⋊C4—41no—
310C2×C22⋊C4—41no—
311C2×C22⋊C4—41no—
312C2×C22⋊C4—42no—
313C2×C22⋊C4—42no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—42no—
328C2×C22⋊C4C2×D414yes—
329C2×C22⋊C4C2×D414yes—
330C2×C22⋊C4#4118yes—
331C2×C42—22no—
332C2×C42—22no—
333C2×C42—24no—
334C2×C42—24no—
335C2×C42—24no—
336C2×C42—24no—
337C2×C42—42no—
338C2×C42—44no—
339C2×C42—44no—
340C2×C42C2×D414yes—
341#95—24no—
342#95—24no—
343#95—24no—
344#95—24no—
345#95—28no—
346#95—28no—
347#95—28no—
348#95—28no—
349#95—28no—
350#95—28no—
351#95—44no—
352#95—44no—
353#95—42no—
354#95—44no—
355#95—44no—
356#95—44no—
357#95—44no—
358#95—44no—
359#95—44no—
360#95—44no—
361#95—44no—
362C24—22no—
363C24—22no—
364C24—22no—
365C24—22no—
366C24—22no—
367C24—22no—
368C24—22no—
369C24—22no—
370C24—22no—
371C24—22no—
372C24—22no—
373C24—21no—
374C24—21no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—28no—
382C24—216no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—21no—
387C24—21no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—48no—
392C24—44no—
393C24—48no—
394C24—48no—
395C24—48no—
396C24—48no—
397C24—48no—
398C24—48no—
399C24—48no—
400C24—44no—
401C24—44no—
402C24—48no—
403C24—48no—
404C24—48no—
405C24—48no—
406C24—44no—
407C24—44no—
408C24—44no—
409C24—48no—
410C24C22×D412yes—
411C24C22×D412yes—
412C24C2×#4114yes—
413C24C2×#4114yes—
414C24H(5,𝔽2)14yes—
415C242−1+414yes—
416C24C2511yescharacteristic
417C2×Q8—48no—
418C2×Q8—48no—
419C2×Q8—48no—
420C2×Q8—88no—
421C2×Q8—88no—
422C2×D4—216no—
423C2×D4—28no—
424C2×D4—28no—
425C2×D4—44no—
426C2×D4—48no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—48no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—48no—
433C2×D4—48no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—28no—
462C22×C4—28no—
463C22×C4—216no—
464C22×C4—216no—
465C22×C4—216no—
466C22×C4—216no—
467C22×C4—216no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—22no—
503C22×C4—48no—
504C22×C4—44no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—44no—
512C22×C4—48no—
513C22×C4—44no—
514C22×C4—48no—
515C22×C4—4128no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4—48no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—48no—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C2×#4114yes—
532C22×C4C2×#4114yes—
533C22×C4C2×#4114yes—
534C22×C4C2×#4114yes—
535C22×C4H(5,𝔽2)12yes—
536C22×C4H(5,𝔽2)12yes—
537C22×C4H(5,𝔽2)14yes—
538C4⋊C4—44no—
539C4⋊C4—48no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—48no—
543C4⋊C4—48no—
544C4⋊C4—48no—
545C4⋊C4—88no—
546C22⋊C4—28no—
547C22⋊C4—216no—
548C22⋊C4—44no—
549C22⋊C4—44no—
550C22⋊C4—48no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—416no—
554C22⋊C4—48no—
555C22⋊C4—44no—
556C22⋊C4—416no—
557C22⋊C4—88no—
558C22⋊C4—88no—
559C22⋊C4—88no—
560C22⋊C4—88no—
561C22⋊C4—88no—
562C22⋊C4—84no—
563C42—28no—
564C42—48no—
565C42—48no—
566C42—48no—
567C23—22no—
568C23—24no—
569C23—22no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—24no—
599C23—24no—
600C23—416no—
601C23—432no—
602C23—432no—
603C23—432no—
604C23—432no—
605C23—416no—
606C23—432no—
607C23—416no—
608C23—432no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—41no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—41no—
627C23—42no—
628C23—41no—
629C23—42no—
630C23—41no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—41no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—41no—
646C23—42no—
647C23—41no—
648C23—41no—
649C23—42no—
650C23—42no—
651C23#53514yes—
652C23#55618yes—
653C23C23×D411yescharacteristic
654C23C22×#4112yes—
655C23C22×#4112yes—
656C23C2×H(5,𝔽2)11yescharacteristic
657C23C2×H(5,𝔽2)11yescharacteristic
658C23C2×H(5,𝔽2)12yes—
659C23C2×H(5,𝔽2)12yes—
660C23C2×2−1+412yes—
661C23#58512yes—
662Q8—816no—
663D4—416no—
664D4—432no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—432no—
682C2×C4—416no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—42no—
700C2×C4—416no—
701C2×C4—416no—
702C2×C4—432no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—42no—
708C2×C4—44no—
709C2×C4—42no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—42no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—44no—
736C2×C4—42no—
737C2×C4—44no—
738C2×C4#52514yes—
739C2×C4#53414yes—
740C2×C4#53818yes—
741C2×C4#54618yes—
742C2×C4#55114yes—
743C2×C4H(3,𝔽4)14yes—
744C22—24no—
745C22—28no—
746C22—28no—
747C22—28no—
748C22—28no—
749C22—464no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—44no—
754C22—44no—
755C22—44no—
756C22—44no—
757C22—44no—
758C22—42no—
759C22—44no—
760C22—44no—
761C22—44no—
762C22—44no—
763C22—44no—
764C22—42no—
765C22—44no—
766C22—44no—
767C22—44no—
768C22—44no—
769C22—42no—
770C22—44no—
771C22—42no—
772C22—44no—
773C22—42no—
774C22—82no—
775C22—82no—
776C22—82no—
777C22—82no—
778C22C2×#52511yescharacteristic
779C22C2×#53411yescharacteristic
780C22C2×#53511yescharacteristic
781C22C2×#53812yes—
782C22C2×#54612yes—
783C22C2×#55111yescharacteristic
784C22C2×#55612yes—
785C22#347512yes—
786C22#348912yes—
787C22#349212yes—
788C22#349412yes—
789C22#350612yes—
790C22#351912yes—
791C22#351912yes—
792C22#352012yes—
793C22C2×H(3,𝔽4)11yescharacteristic
794C22#353612yes—
795C22#353811yescharacteristic
796C22#354011yescharacteristic
797C22#354112yes—
798C22#354212yes—
799C4—24no—
800C4—44no—
801C4—42no—
802C4—42no—
803C4—44no—
804C4—42no—
805C4—84no—
806C4—84no—
807C4—84no—
808C4—82no—
809C4—84no—
810C4#268418yes—
811C2—44no—
812C2—48no—
813C2—82no—
814C2#3507611yescharacteristic
815C2#3616112yes—
816C2#3737411yescharacteristic
817C2#3783912yes—
818C2#3915412yes—
819C2#3993412yes—
820C2#4560112yes—
821C2C2×#268411yescharacteristic
822C2#5920412yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#120C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2547C2semidirect
3. #16380C2semidirect
4. #15784C2semidirect
5. #15579C2semidirect
6. #15480C2semidirect
8. #15181C2semidirect
9. #15132C2semidirect
10. #15125C2semidirect
11. #14680C2semidirect
12. #14553C2semidirect
13. #13993C2semidirect
14. #13871C2semidirect
15. #13871C2semidirect
17. C22×C4⋊Q8C22semidirect
22. C22×#117C22semidirect
26. C2×#397C22semidirect
29. C2×#391C22semidirect
30. C2×#389C22semidirect
41. C2×#380C22semidirect
42. C2×#380C22semidirect
45. C2×C4×C4⋊C4C22semidirect
48. #1446C22semidirect
49. #1443C22semidirect
50. #1443C22semidirect
51. #1442C22semidirect
52. #1442C22semidirect
53. #1442C22semidirect
55. #1440C22semidirect
56. #1440C22semidirect
60. #1439C22semidirect
67. #1436C22semidirect
68. #1436C22semidirect
69. #1436C22semidirect
70. C4⋊#95C22semidirect
71. C4⋊#95C22semidirect
72. C4⋊#95C22semidirect
73. C4⋊#95C22semidirect

Maximal subgroups

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

subgroupindex
C2×#25472
C2×C4×#1202
#163802
#157842
#155792
#154802
#152592
#151812
#151322
#151252
#146802
#145532
#139932
#138712