Finite Group Databasebeta

← #877272

Subgroups — #877272

Order 512.

4894 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×#2683C211yesmaximal, characteristic, complemented
2C2×#2437C214yesmaximal, complemented
3C22×#390C211yesmaximal, characteristic
4#17071C212yesmaximal, complemented
5#16556C212yesmaximal, complemented
6#15325C214yesmaximal, complemented
7#15309C214yesmaximal, complemented
8#14726C214yesmaximal, complemented
9#14720C212yesmaximal, complemented
10#14697C212yesmaximal, complemented
11#14440C211yesmaximal, characteristic, complemented
12#14401C212yesmaximal, complemented
13#13867C212yesmaximal
14C24×D4C2211yescharacteristic
15C22×C22⋊Q8C2212yes—
16C22×C22⋊Q8C2214yescomplemented
17C23×C4⋊C4C2211yescharacteristic
18C23×C22⋊C4C2212yes—
19C23×C22⋊C4C2214yes—
20C23×C42C2211yescharacteristic
21#2683—28no—
22#2437—232no—
23C2×#399C2214yescomplemented
24C2×#396C2214yescomplemented
25C2×#396C2214yescomplemented
26C2×#396C2214yescomplemented
27C2×#396C2214yescomplemented
28C2×#395C2212yescomplemented
29C2×#395C2212yescomplemented
30C2×#393C2214yescomplemented
31C2×#390—28no—
32C2×#390C2211yescharacteristic
33C2×#390C2211yescharacteristic
34C2×#390C2211yescharacteristic
35C2×#390C2214yes—
36C2×#390C2211yescharacteristic
37C2×#389C2212yescomplemented
38C2×#389C2212yescomplemented
39C2×#386C2212yes—
40C2×#386C2212yes—
41C2×#386C2212yes—
42C2×#386C2212yes—
43C2×#385C2214yes—
44C2×#385C2214yes—
45C2×#385C2214yescomplemented
46C2×#385C2214yescomplemented
47C2×#380C2212yes—
48C2×#380C2212yes—
49C2×#380C2214yescomplemented
50C2×#379C2214yes—
51C2×#379C2212yes—
52#1444C2214yescomplemented
53#1444C2214yescomplemented
54#1441C2212yescomplemented
55#1441C2212yescomplemented
56#1439C2214yescomplemented
57#1439C2214yescomplemented
58#1439C2214yescomplemented
59#1439C2214yescomplemented
60#1439C2214yescomplemented
61#1439C2214yescomplemented
62#1438C2214yes—
63#1438C2214yes—
64#1436C2214yescomplemented
65#1436C2214yescomplemented
66C4⋊#95C2212yescomplemented
67C4⋊#95C2212yescomplemented
68C22⋊#95C2214yes—
69C22⋊#95C2212yes—
70C26C2312yes—
71C23×Q8C2312yes—
72C23×D4—24no—
73C23×D4—24no—
74C23×D4—42no—
75C23×D4—42no—
76C23×D4—42no—
77C23×D4—42no—
78C23×D4Q818yescomplemented
79C23×D4C2312yes—
80C23×D4C2311yescharacteristic
81C23×D4C2311yescharacteristic
82C24×C4C2311yescharacteristic
83C24×C4C2312yes—
84C24×C4C2312yes—
85C24×C4C2312yes—
86C24×C4C2312yes—
87C2×C22⋊Q8—216no—
88C2×C22⋊Q8—216no—
89C2×C22⋊Q8—216no—
90C2×C22⋊Q8—44no—
91C2×C22⋊Q8—48no—
92C22×C4⋊C4—24no—
93C22×C4⋊C4—42no—
94C22×C4⋊C4—42no—
95C22×C4⋊C4C2314yes—
96C22×C4⋊C4C2314yes—
97C22×C4⋊C4C2312yes—
98C22×C4⋊C4C2312yes—
99C22×C4⋊C4C2314yes—
100C22×C4⋊C4C2312yes—
101C22×C4⋊C4C2314yes—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2314yes—
105C22×C4⋊C4C2311yescharacteristic
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2312yes—
108C22×C22⋊C4—216no—
109C22×C22⋊C4—216no—
110C22×C22⋊C4—216no—
111C22×C22⋊C4—48no—
112C22×C22⋊C4—44no—
113C22×C22⋊C4C2314yes—
114C22×C22⋊C4C2314yes—
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2314yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2314yes—
127C22×C42—24no—
128C22×C42—42no—
129C22×C42—42no—
130C22×C42C2312yes—
131C22×C42C2311yescharacteristic
132C22×C42C2311yescharacteristic
133#399—216no—
134#396—216no—
135#396—216no—
136#396—216no—
137#396—48no—
138#395—28no—
139#395—44no—
140#393—216no—
141#390—24no—
142#390—24no—
143#390—216no—
144#390—24no—
145#390D418yes—
146#389—28no—
147#389—44no—
148#386—28no—
149#386—28no—
150#386—44no—
151#386—44no—
152#385—216no—
153#385—216no—
154#385—216no—
155#385—216no—
156#380—216no—
157#380—44no—
158#380D4116yescomplemented
159#379—216no—
160#379—44no—
161C2×#95C2314yes—
162C2×#95C2314yes—
163C2×#95C2312yes—
164C2×#95C2314yes—
165C2×#95C2314yes—
166C2×#95C2314yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2312yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C25—24no—
175C25—24no—
176C25—28no—
177C25—24no—
178C25—24no—
179C25—28no—
180C25—44no—
181C25—42no—
182C25—42no—
183C25—44no—
184C25C2×Q818yes—
185C25C2412yes—
186C25C2412yes—
187C25C2411yescharacteristic
188C22×Q8—28no—
189C22×Q8—24no—
190C22×Q8—42no—
191C22×Q8—44no—
192C22×Q8—42no—
193C22×D4—24no—
194C22×D4—24no—
195C22×D4—232no—
196C22×D4—22no—
197C22×D4—22no—
198C22×D4—24no—
199C22×D4—24no—
200C22×D4—416no—
201C22×D4—416no—
202C22×D4—41no—
203C22×D4—41no—
204C22×D4—42no—
205C22×D4—41no—
206C22×D4—41no—
207C22×D4—41no—
208C22×D4—41no—
209C22×D4—42no—
210C22×D4—41no—
211C22×D4—41no—
212C22×D4—416no—
213C22×D4—416no—
214C22×D4—416no—
215C22×D4—416no—
216C22×D4C2×D414yes—
217C22×D4C2×Q818yes—
218C22×D4C2×Q814yes—
219C22×D4C2×Q814yes—
220C22×D4#4114yes—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—28no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—28no—
237C23×C4—28no—
238C23×C4—42no—
239C23×C4—42no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4—44no—
243C23×C4—42no—
244C23×C4—44no—
245C23×C4—44no—
246C23×C4—42no—
247C23×C4—42no—
248C23×C4C2×D418yes—
249C23×C4C2×Q814yes—
250C23×C4C2414yes—
251C23×C4C2414yes—
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2414yes—
255C23×C4C2414yes—
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2411yescharacteristic
259C23×C4C2411yescharacteristic
260C22⋊Q8—432no—
261C22⋊Q8—464no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—22no—
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—28no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—28no—
275C2×C4⋊C4—28no—
276C2×C4⋊C4—28no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—41no—
280C2×C4⋊C4—41no—
281C2×C4⋊C4—42no—
282C2×C4⋊C4—41no—
283C2×C4⋊C4—41no—
284C2×C4⋊C4—42no—
285C2×C4⋊C4—42no—
286C2×C4⋊C4—44no—
287C2×C4⋊C4—44no—
288C2×C4⋊C4—42no—
289C2×C4⋊C4—416no—
290C2×C4⋊C4—42no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4—42no—
293C2×C4⋊C4—42no—
294C2×C4⋊C4—42no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4C2×D414yes—
299C2×C4⋊C4C2×D418yescomplemented
300C2×C4⋊C4C2×D418yescomplemented
301C2×C22⋊C4—28no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—28no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—28no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—432no—
326C2×C22⋊C4—464no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—42no—
335C2×C22⋊C4—42no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—42no—
340C2×C22⋊C4—42no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4C2×D4116yes—
344C2×C22⋊C4C2×D4116yes—
345C2×C42—24no—
346C2×C42—22no—
347C2×C42—24no—
348C2×C42—41no—
349C2×C42—41no—
350C2×C42—42no—
351C2×C42—41no—
352C2×C42—41no—
353C2×C42—416no—
354C2×C42C2×D414yes—
355#95—28no—
356#95—28no—
357#95—28no—
358#95—28no—
359#95—28no—
360#95—24no—
361#95—28no—
362#95—28no—
363#95—28no—
364#95—44no—
365#95—42no—
366#95—44no—
367#95C2×D4116yescomplemented
368C24—21no—
369C24—21no—
370C24—21no—
371C24—21no—
372C24—22no—
373C24—22no—
374C24—24no—
375C24—24no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—24no—
381C24—24no—
382C24—216no—
383C24—24no—
384C24—22no—
385C24—22no—
386C24—24no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—24no—
392C24—24no—
393C24—216no—
394C24—232no—
395C24—48no—
396C24—416no—
397C24—416no—
398C24—48no—
399C24—48no—
400C24—48no—
401C24—48no—
402C24—416no—
403C24—416no—
404C24—416no—
405C24—416no—
406C24—48no—
407C24—48no—
408C24—88no—
409C24—88no—
410C24—88no—
411C24—88no—
412C24—84no—
413C24—84no—
414C24—88no—
415C24C22×D414yes—
416C24C22×D414yes—
417C24C22×Q814yes—
418C24C22×Q814yes—
419C24C22×Q812yes—
420C24C2×#4114yes—
421C24H(5,𝔽2)12yes—
422C24H(5,𝔽2)12yes—
423C242−1+414yes—
424C24C2511yescharacteristic
425C2×Q8—48no—
426C2×Q8—416no—
427C2×Q8—84no—
428C2×Q8—88no—
429C2×Q8—84no—
430C2×D4—216no—
431C2×D4—28no—
432C2×D4—216no—
433C2×D4—44no—
434C2×D4—44no—
435C2×D4—44no—
436C2×D4—44no—
437C2×D4—48no—
438C2×D4—44no—
439C2×D4—44no—
440C2×D4—44no—
441C2×D4—44no—
442C2×D4—48no—
443C2×D4—48no—
444C2×D4—48no—
445C2×D4—48no—
446C2×D4—4128no—
447C2×D4—44no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—44no—
451C2×D4C22⋊Q8116yescomplemented
452C22×C4—28no—
453C22×C4—28no—
454C22×C4—28no—
455C22×C4—28no—
456C22×C4—28no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—28no—
470C22×C4—28no—
471C22×C4—216no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—216no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
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—22no—
509C22×C4—22no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4—48no—
521C22×C4—416no—
522C22×C4—48no—
523C22×C4—416no—
524C22×C4—416no—
525C22×C4—48no—
526C22×C4—88no—
527C22×C4—88no—
528C22×C4—84no—
529C22×C4—84no—
530C22×C4—88no—
531C22×C4—84no—
532C22×C4—84no—
533C22×C4—84no—
534C22×C4C22×D414yes—
535C22×C4C22×D418yes—
536C22×C4C22×D414yes—
537C22×C4C22×D418yes—
538C22×C4C22×D412yes—
539C22×C4C22×D414yes—
540C22×C4C22×D414yes—
541C22×C4C22×Q812yes—
542C22×C4C22×Q812yes—
543C22×C4C2×#4112yes—
544C22×C4H(5,𝔽2)12yes—
545C22×C4H(5,𝔽2)12yes—
546C22×C4H(5,𝔽2)14yes—
547C4⋊C4—216no—
548C4⋊C4—44no—
549C4⋊C4—48no—
550C4⋊C4—48no—
551C4⋊C4—48no—
552C4⋊C4—416no—
553C4⋊C4—416no—
554C4⋊C4—44no—
555C4⋊C4—416no—
556C4⋊C4—84no—
557C4⋊C4—84no—
558C4⋊C4—88no—
559C4⋊C4—88no—
560C22⋊C4—232no—
561C22⋊C4—232no—
562C22⋊C4—416no—
563C22⋊C4—416no—
564C22⋊C4—416no—
565C22⋊C4—416no—
566C22⋊C4—416no—
567C22⋊C4—416no—
568C22⋊C4—416no—
569C22⋊C4—88no—
570C22⋊C4—88no—
571C22⋊C4—84no—
572C22⋊C4—84no—
573C22⋊C4—88no—
574C42—44no—
575C42—48no—
576C42—44no—
577C23—22no—
578C23—22no—
579C23—24no—
580C23—24no—
581C23—22no—
582C23—22no—
583C23—24no—
584C23—22no—
585C23—22no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—22no—
593C23—22no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—28no—
598C23—28no—
599C23—28no—
600C23—24no—
601C23—24no—
602C23—28no—
603C23—24no—
604C23—24no—
605C23—28no—
606C23—28no—
607C23—24no—
608C23—24no—
609C23—24no—
610C23—28no—
611C23—28no—
612C23—432no—
613C23—464no—
614C23—44no—
615C23—42no—
616C23—44no—
617C23—44no—
618C23—42no—
619C23—44no—
620C23—44no—
621C23—42no—
622C23—42no—
623C23—44no—
624C23—44no—
625C23—432no—
626C23—42no—
627C23—44no—
628C23—44no—
629C23—42no—
630C23—42no—
631C23—44no—
632C23—42no—
633C23—42no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—42no—
638C23—44no—
639C23—44no—
640C23—42no—
641C23—42no—
642C23—44no—
643C23—816no—
644C23—832no—
645C23—832no—
646C23—832no—
647C23—816no—
648C23—816no—
649C23—816no—
650C23—816no—
651C23C2×C22⋊Q818yes—
652C23#53718yes—
653C23#54314yes—
654C23D4214yes—
655C23D4×Q818yes—
656C23#56314yes—
657C23C23×D411yescharacteristic
658C23C23×D412yes—
659C23C23×Q811yescharacteristic
660C23C22×#4111yescharacteristic
661C23C2×H(5,𝔽2)11yescharacteristic
662C23C2×H(5,𝔽2)11yescharacteristic
663C23C2×H(5,𝔽2)11yescharacteristic
664C23C2×H(5,𝔽2)11yescharacteristic
665C23C2×H(5,𝔽2)12yes—
666C23C2×2−1+412yes—
667C23#58512yes—
668Q8—816no—
669D4—416no—
670D4—432no—
671D4—416no—
672C2×C4—232no—
673C2×C4—22no—
674C2×C4—24no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—24no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—24no—
691C2×C4—24no—
692C2×C4—28no—
693C2×C4—28no—
694C2×C4—28no—
695C2×C4—24no—
696C2×C4—28no—
697C2×C4—28no—
698C2×C4—24no—
699C2×C4—28no—
700C2×C4—24no—
701C2×C4—28no—
702C2×C4—432no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—42no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—42no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—42no—
736C2×C4—44no—
737C2×C4—816no—
738C2×C4—816no—
739C2×C4—816no—
740C2×C4C2×C22⋊Q814yes—
741C2×C4#54314yes—
742C2×C4D4218yes—
743C22—24no—
744C22—28no—
745C22—28no—
746C22—24no—
747C22—24no—
748C22—24no—
749C22—24no—
750C22—28no—
751C22—24no—
752C22—28no—
753C22—28no—
754C22—216no—
755C22—44no—
756C22—48no—
757C22—48no—
758C22—44no—
759C22—44no—
760C22—44no—
761C22—44no—
762C22—48no—
763C22—44no—
764C22—44no—
765C22—44no—
766C22—44no—
767C22—48no—
768C22—48no—
769C22—864no—
770C22—84no—
771C22—84no—
772C22—82no—
773C22—82no—
774C22—82no—
775C22—82no—
776C22#268318yescomplemented
777C22C22×C22⋊Q811yescharacteristic
778C22C2×#53712yes—
779C22C2×#54311yescharacteristic
780C22C2×#54311yescharacteristic
781C22C2×D4212yes—
782C22C2×D4211yescharacteristic
783C22C2×D4×Q812yes—
784C22D4×#4112yes—
785C22#348411yescharacteristic
786C22#348411yescharacteristic
787C22#348912yes—
788C22#349011yescharacteristic
789C22#349011yescharacteristic
790C22#349612yes—
791C22#349812yes—
792C22#350112yes—
793C22#352012yes—
794C22C2×#56311yescharacteristic
795C22#353412yes—
796C22#353612yes—
797C22#354311yescharacteristic
798C22#354511yescharacteristic
799C22#356112yes—
800C4—28no—
801C4—24no—
802C4—24no—
803C4—44no—
804C4—48no—
805C4—44no—
806C4—48no—
807C4—84no—
808C4—84no—
809C4—82no—
810C2—28no—
811C2—48no—
812C2—84no—
813C2#3498211yescharacteristic
814C2D4×C22⋊Q812yes—
815C2#3713411yescharacteristic
816C2#3767312yes—
817C2#3842612yes—
818C2#3936712yes—
819C2#4613611yescharacteristic
820C2#4619911yescharacteristic
821C2C2×#268311yescharacteristic
822C2#5912611yescharacteristic
823C2#5981411yescharacteristic
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. C2×#2683C2semidirect
2. C2×#2437C2semidirect
4. #17071C2semidirect
5. #16556C2semidirect
6. #15325C2semidirect
7. #15309C2semidirect
8. #14726C2semidirect
9. #14720C2semidirect
10. #14697C2semidirect
11. #14440C2semidirect
12. #14401C2semidirect
16. C22×C22⋊Q8C22semidirect
23. C2×#399C22semidirect
24. C2×#396C22semidirect
25. C2×#396C22semidirect
26. C2×#396C22semidirect
27. C2×#396C22semidirect
28. C2×#395C22semidirect
29. C2×#395C22semidirect
30. C2×#393C22semidirect
37. C2×#389C22semidirect
38. C2×#389C22semidirect
45. C2×#385C22semidirect
46. C2×#385C22semidirect
49. C2×#380C22semidirect
52. #1444C22semidirect
53. #1444C22semidirect
54. #1441C22semidirect
55. #1441C22semidirect
56. #1439C22semidirect
57. #1439C22semidirect
58. #1439C22semidirect
59. #1439C22semidirect
60. #1439C22semidirect
61. #1439C22semidirect
64. #1436C22semidirect
65. #1436C22semidirect
66. C4⋊#95C22semidirect
67. C4⋊#95C22semidirect
78. C23×D4Q8semidirect
158. #380D4semidirect
299. C2×C4⋊C4C2×D4semidirect
300. C2×C4⋊C4C2×D4semidirect
367. #95C2×D4semidirect
451. C2×D4C22⋊Q8semidirect
776. C22#2683semidirect

Maximal subgroups

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

subgroupindex
C2×#26832
C2×#24372
C22×#3902
#170712
#165562
#153252
#153092
#147262
#147202
#146972
#144402
#144012
#138672