Finite Group Databasebeta

← #772873

Subgroups — #772873

Order 512.

4886 conjugacy classes of subgroups.

The subgroup lattice has 809 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2538C212yesmaximal, complemented
2C2×#2437C212yesmaximal, complemented
3C2×D4×C22⋊C4C212yesmaximal
4#16298C212yesmaximal, complemented
5#15951C212yesmaximal, complemented
6#15429C212yesmaximal, complemented
7#15324C214yesmaximal, complemented
8#15135C211yesmaximal, characteristic, complemented
9#15131C212yesmaximal, complemented
10#14726C214yesmaximal, complemented
11#13977C212yesmaximal, complemented
12#13977C212yesmaximal, complemented
13#13920C212yesmaximal, complemented
14#13902C211yesmaximal, characteristic
15C4×#393C211yesmaximal, characteristic, complemented
16C24×D4C2211yescharacteristic
17C22×C22⋊Q8C2214yescomplemented
18C22×C4×Q8C2211yescharacteristic, complemented
19C22×C4×D4C2212yes—
20C22×C4×D4C2212yes—
21C23×C22⋊C4C2214yes—
22#2538—216no—
23#2437—216no—
24C2×#399C2212yes—
25C2×#396C2214yes—
26C2×#396C2214yescomplemented
27C2×#396C2214yescomplemented
28C2×#393C2211yescharacteristic
29D4×C22⋊C4—216no—
30C2×#390C2212yes—
31C2×#390C2212yes—
32C2×#390C2212yes—
33C2×#390C2212yes—
34C2×#389C2212yescomplemented
35C2×#389C2212yescomplemented
36C2×#389C2212yescomplemented
37C2×#386C2214yes—
38C2×#386C2214yes—
39C2×#385C2214yescomplemented
40C2×#385C2214yescomplemented
41C2×#385C2214yescomplemented
42C2×#385C2214yescomplemented
43C2×#384C2212yescomplemented
44C2×#384C2211yescharacteristic, complemented
45C2×#380C2212yes—
46C2×#380C2211yescharacteristic
47C2×#380C2214yescomplemented
48C2×#380C2214yescomplemented
49C2×#379C2214yes—
50C2×#379C2212yes—
51C2×#379C2212yes—
52C2×C4×C22⋊C4C2212yes—
53C2×C4×C22⋊C4C2211yescharacteristic
54#1446C2211yescharacteristic, complemented
55#1445C2212yescomplemented
56#1444C2212yescomplemented
57#1442C2211yescharacteristic, complemented
58#1442C2212yescomplemented
59#1441C2214yescomplemented
60#1441C2214yescomplemented
61#1439C2214yes—
62#1439C2212yes—
63#1439C2212yes—
64#1439C2211yescharacteristic
65#1439C2214yescomplemented
66#1439C2214yescomplemented
67#1439C2214yescomplemented
68#1439C2214yescomplemented
69#1439C2214yescomplemented
70#1439C2214yescomplemented
71#1438C2212yes—
72#1438C2212yes—
73C4⋊#95C2212yescomplemented
74C4⋊#95C2211yescharacteristic, complemented
75C22⋊#95C2214yescomplemented
76C4×#95C2211yescharacteristic, complemented
77C4×#95C2212yescomplemented
78C26C2312yes—
79C23×Q8C2311yescharacteristic
80C23×D4—28no—
81C23×D4—28no—
82C23×D4—42no—
83C23×D4—42no—
84C23×D4Q818yescomplemented
85C23×D4C2312yes—
86C23×D4C2312yes—
87C24×C4C2311yescharacteristic
88C24×C4C2314yes—
89C24×C4C2314yes—
90C2×C22⋊Q8—216no—
91C2×C22⋊Q8—216no—
92C2×C22⋊Q8—48no—
93C2×C4×Q8—28no—
94C2×C4×Q8—42no—
95C2×C4×D4—28no—
96C2×C4×D4—28no—
97C2×C4×D4—28no—
98C2×C4×D4—28no—
99C2×C4×D4—44no—
100C2×C4×D4—44no—
101C22×C4⋊C4C2314yes—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2314yes—
105C22×C4⋊C4C2311yescharacteristic
106C22×C4⋊C4C2312yes—
107C22×C4⋊C4C2314yes—
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2314yes—
110C22×C4⋊C4C2314yes—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2312yes—
113C22×C22⋊C4—216no—
114C22×C22⋊C4—216no—
115C22×C22⋊C4—48no—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2314yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2311yescharacteristic
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2311yescharacteristic
131C22×C22⋊C4C2314yes—
132C22×C42C2312yes—
133C22×C42C2311yescharacteristic
134C22×C42C2311yescharacteristic
135C22×C42C2312yes—
136#399—28no—
137#396—216no—
138#396—216no—
139#396—216no—
140#393D418yescomplemented
141#390—28no—
142#390—28no—
143#390—28no—
144#390D4116yes—
145#389—28no—
146#389—28no—
147#389—44no—
148#386—216no—
149#386—216no—
150#385—216no—
151#385—216no—
152#385—48no—
153#385—48no—
154#384—28no—
155#384—42no—
156#380—28no—
157#380—216no—
158#380—216no—
159#380—42no—
160#379—216no—
161#379—28no—
162#379—44no—
163C4×C22⋊C4—28no—
164C4×C22⋊C4—42no—
165C2×#95C2314yes—
166C2×#95C2314yes—
167C2×#95C2314yes—
168C2×#95C2312yes—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C2×#95C2312yes—
172C2×#95C2312yes—
173C2×#95C2312yes—
174C2×#95C2314yes—
175C2×#95C2312yes—
176C2×#95C2312yes—
177C2×#95C2311yescharacteristic
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2312yes—
181C2×#95C2311yescharacteristic
182C2×#95C2311yescharacteristic
183C2×#95C2311yescharacteristic
184C2×#95C2312yes—
185C25—24no—
186C25—28no—
187C25—28no—
188C25—24no—
189C25—44no—
190C25—42no—
191C25—42no—
192C25—44no—
193C25—42no—
194C25—42no—
195C25C2×Q818yes—
196C25C2414yes—
197C25C2411yescharacteristic
198C22×Q8—24no—
199C22×Q8—24no—
200C22×Q8—41no—
201C22×Q8—41no—
202C22×Q8C2×D414yescomplemented
203C22×D4—28no—
204C22×D4—28no—
205C22×D4—264no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—416no—
211C22×D4—42no—
212C22×D4—42no—
213C22×D4—416no—
214C22×D4—432no—
215C22×D4—416no—
216C22×D4C2×D418yes—
217C22×D4C2×Q818yes—
218C22×D4C2×Q818yes—
219C22×D4#4118yes—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—28no—
225C23×C4—28no—
226C23×C4—28no—
227C23×C4—28no—
228C23×C4—28no—
229C23×C4—28no—
230C23×C4—28no—
231C23×C4—44no—
232C23×C4—44no—
233C23×C4—44no—
234C23×C4—44no—
235C23×C4—44no—
236C23×C4—44no—
237C23×C4—44no—
238C23×C4C2×Q814yes—
239C23×C4C2414yes—
240C23×C4C2411yescharacteristic
241C23×C4C2412yes—
242C23×C4C2414yes—
243C23×C4C2411yescharacteristic
244C23×C4C2412yes—
245C23×C4C2411yescharacteristic
246C23×C4C2414yes—
247C23×C4C2412yes—
248C23×C4C2411yescharacteristic
249C23×C4C2411yescharacteristic
250C23×C4C2412yes—
251C23×C4C2411yescharacteristic
252C22⋊Q8—464no—
253C4×Q8—416no—
254C4×D4—432no—
255C4×D4—432no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—28no—
264C2×C4⋊C4—28no—
265C2×C4⋊C4—28no—
266C2×C4⋊C4—28no—
267C2×C4⋊C4—28no—
268C2×C4⋊C4—28no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—28no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—28no—
275C2×C4⋊C4—28no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—42no—
278C2×C4⋊C4—41no—
279C2×C4⋊C4—44no—
280C2×C4⋊C4—44no—
281C2×C4⋊C4—44no—
282C2×C4⋊C4—42no—
283C2×C4⋊C4—42no—
284C2×C4⋊C4—42no—
285C2×C4⋊C4—44no—
286C2×C4⋊C4—44no—
287C2×C4⋊C4—44no—
288C2×C4⋊C4—44no—
289C2×C4⋊C4C2×D418yes—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—28no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—28no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—28no—
296C2×C22⋊C4—28no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—28no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—22no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—28no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—22no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—464no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—41no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—42no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—41no—
326C2×C22⋊C4—41no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—42no—
333C2×C22⋊C4—42no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4C2×D418yes—
336C2×C22⋊C4C2×D4116yes—
337C2×C22⋊C4C2×D414yes—
338C2×C22⋊C4C2×D4116yes—
339C2×C42—24no—
340C2×C42—24no—
341C2×C42—24no—
342C2×C42—24no—
343C2×C42—24no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—22no—
347C2×C42—22no—
348C2×C42C2×D418yes—
349#95—24no—
350#95—24no—
351#95—28no—
352#95—28no—
353#95—28no—
354#95—28no—
355#95—24no—
356#95—24no—
357#95—24no—
358#95—24no—
359#95—42no—
360#95—41no—
361#95—42no—
362#95—41no—
363#95—41no—
364#95—42no—
365#95—44no—
366#95—44no—
367#95C2×D414yescomplemented
368#95C2×D418yescomplemented
369C24—24no—
370C24—22no—
371C24—24no—
372C24—22no—
373C24—24no—
374C24—24no—
375C24—24no—
376C24—22no—
377C24—21no—
378C24—24no—
379C24—21no—
380C24—21no—
381C24—24no—
382C24—24no—
383C24—24no—
384C24—24no—
385C24—24no—
386C24—24no—
387C24—22no—
388C24—21no—
389C24—232no—
390C24—216no—
391C24—48no—
392C24—416no—
393C24—48no—
394C24—416no—
395C24—48no—
396C24—416no—
397C24—48no—
398C24—416no—
399C24—416no—
400C24—416no—
401C24—88no—
402C24—88no—
403C24—84no—
404C24—84no—
405C24—88no—
406C24—88no—
407C24—84no—
408C24—84no—
409C24—84no—
410C24—88no—
411C24—84no—
412C24C22×D418yes—
413C24C22×D412yes—
414C24C22×Q818yes—
415C24C22×Q812yes—
416C24C2×#4118yes—
417C242−1+412yes—
418C24C2511yescharacteristic
419C2×Q8—216no—
420C2×Q8—44no—
421C2×Q8—44no—
422C2×Q8—48no—
423C2×Q8—44no—
424C2×D4—232no—
425C2×D4—216no—
426C2×D4—216no—
427C2×D4—216no—
428C2×D4—216no—
429C2×D4—216no—
430C2×D4—216no—
431C2×D4—48no—
432C2×D4—4128no—
433C2×D4—48no—
434C2×D4—416no—
435C2×D4—48no—
436C2×D4C22⋊Q8132yescomplemented
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—24no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—24no—
454C22×C4—22no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—24no—
475C22×C4—216no—
476C22×C4—28no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—21no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—21no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—416no—
504C22×C4—416no—
505C22×C4—416no—
506C22×C4—416no—
507C22×C4—416no—
508C22×C4—416no—
509C22×C4—44no—
510C22×C4—48no—
511C22×C4—44no—
512C22×C4—416no—
513C22×C4—88no—
514C22×C4—88no—
515C22×C4—88no—
516C22×C4—88no—
517C22×C4—88no—
518C22×C4—88no—
519C22×C4—88no—
520C22×C4C22×D414yes—
521C22×C4C22×D412yes—
522C22×C4C22×D414yes—
523C22×C4C22×D418yes—
524C22×C4C22×D412yes—
525C22×C4C22×D414yes—
526C22×C4C22×D414yes—
527C22×C4C22×D414yes—
528C22×C4C22×Q812yes—
529C22×C4C22×Q812yes—
530C22×C4C2×#4114yes—
531C22×C4H(5,𝔽2)12yes—
532C22×C4H(5,𝔽2)14yes—
533C22×C4H(5,𝔽2)12yes—
534C22×C4H(5,𝔽2)12yes—
535C4⋊C4—216no—
536C4⋊C4—48no—
537C4⋊C4—44no—
538C4⋊C4—416no—
539C4⋊C4—416no—
540C4⋊C4—48no—
541C4⋊C4—416no—
542C4⋊C4—48no—
543C4⋊C4—84no—
544C4⋊C4—88no—
545C4⋊C4—88no—
546C4⋊C4—84no—
547C22⋊C4—216no—
548C22⋊C4—232no—
549C22⋊C4—416no—
550C22⋊C4—44no—
551C22⋊C4—416no—
552C22⋊C4—48no—
553C22⋊C4—416no—
554C22⋊C4—44no—
555C22⋊C4—416no—
556C22⋊C4—416no—
557C22⋊C4—416no—
558C22⋊C4—416no—
559C22⋊C4—416no—
560C22⋊C4—88no—
561C22⋊C4—88no—
562C22⋊C4—84no—
563C42—216no—
564C42—44no—
565C42—48no—
566C42—44no—
567C23—24no—
568C23—28no—
569C23—22no—
570C23—28no—
571C23—28no—
572C23—24no—
573C23—28no—
574C23—28no—
575C23—28no—
576C23—28no—
577C23—28no—
578C23—24no—
579C23—28no—
580C23—28no—
581C23—24no—
582C23—28no—
583C23—28no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—24no—
588C23—28no—
589C23—28no—
590C23—28no—
591C23—28no—
592C23—24no—
593C23—28no—
594C23—28no—
595C23—22no—
596C23—22no—
597C23—432no—
598C23—464no—
599C23—44no—
600C23—41no—
601C23—42no—
602C23—44no—
603C23—41no—
604C23—44no—
605C23—42no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—42no—
610C23—44no—
611C23—44no—
612C23—42no—
613C23—44no—
614C23—44no—
615C23—42no—
616C23—44no—
617C23—44no—
618C23—41no—
619C23—44no—
620C23—44no—
621C23—42no—
622C23—44no—
623C23—41no—
624C23—44no—
625C23—832no—
626C23—816no—
627C23—832no—
628C23—832no—
629C23—816no—
630C23—816no—
631C23—816no—
632C23—816no—
633C23—816no—
634C23C2×C22⋊Q8116yes—
635C23D4×Q814yes—
636C23C23×D412yes—
637C23C23×D411yescharacteristic
638C23C23×Q811yescharacteristic
639C23C22×#4112yes—
640C23C2×H(5,𝔽2)11yescharacteristic
641C23C2×H(5,𝔽2)11yescharacteristic
642C23C2×H(5,𝔽2)12yes—
643C23C2×H(5,𝔽2)11yescharacteristic
644C23C2×2−1+411yescharacteristic
645C23#58512yes—
646C23#58511yescharacteristic
647Q8—416no—
648D4—264no—
649D4—432no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—28no—
661C2×C4—24no—
662C2×C4—28no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—22no—
668C2×C4—28no—
669C2×C4—22no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—22no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—41no—
697C2×C4—416no—
698C2×C4—41no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—41no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—42no—
722C2×C4—41no—
723C2×C4—42no—
724C2×C4—832no—
725C2×C4—832no—
726C2×C4C2×C22⋊Q818yes—
727C2×C4#54314yes—
728C2×C4D4218yes—
729C2×C4D4214yes—
730C2×C4#54618yes—
731C2×C4#55114yes—
732C22—216no—
733C22—216no—
734C22—24no—
735C22—28no—
736C22—216no—
737C22—48no—
738C22—48no—
739C22—44no—
740C22—48no—
741C22—48no—
742C22—44no—
743C22—48no—
744C22—42no—
745C22—48no—
746C22—42no—
747C22—42no—
748C22—48no—
749C22—42no—
750C22—48no—
751C22—44no—
752C22—48no—
753C22—42no—
754C22—48no—
755C22—48no—
756C22—42no—
757C22—48no—
758C22—864no—
759C22C22×C22⋊Q812yes—
760C22C2×#54311yescharacteristic
761C22C2×D4212yes—
762C22C2×D4211yescharacteristic
763C22C2×#54612yes—
764C22C2×D4×Q811yescharacteristic
765C22D4×#4112yes—
766C22C2×#55111yescharacteristic
767C22#348812yes—
768C22#348912yes—
769C22#349612yes—
770C22#349611yescharacteristic
771C22#349811yescharacteristic
772C22#350111yescharacteristic
773C22#350112yes—
774C22#351912yes—
775C22#352012yes—
776C22#352112yes—
777C22#353611yescharacteristic
778C22#353711yescharacteristic
779C22#354612yes—
780C22#355111yescharacteristic
781C22#356111yescharacteristic
782C4—28no—
783C4—48no—
784C4—44no—
785C4—44no—
786C4—42no—
787C4—42no—
788C4—42no—
789C4—42no—
790C4—84no—
791C4—82no—
792C4—81no—
793C4—84no—
794C4#243718yescomplemented
795C2—416no—
796C2—44no—
797C2C2×#243711yescharacteristic
798C2#3577612yes—
799C2D4×C22⋊Q812yes—
800C2#3936711yescharacteristic
801C2#4249011yescharacteristic
802C2#4508412yes—
803C2#4510311yescharacteristic
804C2#4537711yescharacteristic
805C2#5899711yescharacteristic
806C2#5941212yes—
807C2#5984311yescharacteristic
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×#2538C2semidirect
2. C2×#2437C2semidirect
4. #16298C2semidirect
5. #15951C2semidirect
6. #15429C2semidirect
7. #15324C2semidirect
8. #15135C2semidirect
9. #15131C2semidirect
10. #14726C2semidirect
11. #13977C2semidirect
12. #13977C2semidirect
13. #13920C2semidirect
15. C4×#393C2semidirect
17. C22×C22⋊Q8C22semidirect
18. C22×C4×Q8C22semidirect
26. C2×#396C22semidirect
27. C2×#396C22semidirect
34. C2×#389C22semidirect
35. C2×#389C22semidirect
36. C2×#389C22semidirect
39. C2×#385C22semidirect
40. C2×#385C22semidirect
41. C2×#385C22semidirect
42. C2×#385C22semidirect
43. C2×#384C22semidirect
44. C2×#384C22semidirect
47. C2×#380C22semidirect
48. C2×#380C22semidirect
54. #1446C22semidirect
55. #1445C22semidirect
56. #1444C22semidirect
57. #1442C22semidirect
58. #1442C22semidirect
59. #1441C22semidirect
60. #1441C22semidirect
65. #1439C22semidirect
66. #1439C22semidirect
67. #1439C22semidirect
68. #1439C22semidirect
69. #1439C22semidirect
70. #1439C22semidirect
73. C4⋊#95C22semidirect
74. C4⋊#95C22semidirect
75. C22⋊#95C22semidirect
76. C4×#95C22semidirect
77. C4×#95C22semidirect
84. C23×D4Q8semidirect
140. #393D4semidirect
202. C22×Q8C2×D4semidirect
367. #95C2×D4semidirect
368. #95C2×D4semidirect
436. C2×D4C22⋊Q8semidirect
794. C4#2437semidirect

Maximal subgroups

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

subgroupindex
C2×#25382
C2×#24372
C2×D4×C22⋊C42
#162982
#159512
#154292
#153242
#151352
#151312
#147262
#139772
#139202
#139022
C4×#3932