Finite Group Databasebeta

← #4452707

Subgroups — #4452707

Order 512.

4030 conjugacy classes of subgroups.

The subgroup lattice has 808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2561C211yesmaximal, characteristic, complemented
2C2×#2626C211yesmaximal, characteristic, complemented
3C22×#394C211yesmaximal, characteristic
4C2×#2312C211yesmaximal, characteristic, complemented
5#16817C214yesmaximal, complemented
6#16514C214yesmaximal, complemented
7#16467C214yesmaximal, complemented
8#16294C214yesmaximal, complemented
9#14935C212yesmaximal, complemented
10#14918C212yesmaximal, complemented
11#14726C212yesmaximal, complemented
12#14724C212yesmaximal
13#14139C211yesmaximal, characteristic, complemented
14#13903C211yesmaximal, characteristic, complemented
15#13880C211yesmaximal, characteristic, complemented
16C24×D4C2211yescharacteristic
17C22×C22⋊Q8C2211yescharacteristic
18C23×C4⋊C4C2211yescharacteristic
19C23×C22⋊C4C2211yescharacteristic
20C23×C22⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23#2626—28no—
24#2561—28no—
25C2×#399C2212yescomplemented
26C2×#397C2212yescomplemented
27C2×#396C2212yescomplemented
28C2×#396C2212yescomplemented
29C2×#396C2214yescomplemented
30C2×#394—28no—
31C2×#394C2214yes—
32C2×#394C2214yes—
33C2×#394C2214yes—
34C2×#394C2214yes—
35C2×#393C2212yescomplemented
36C2×#393C2212yescomplemented
37#2312—28no—
38C2×#391C2212yescomplemented
39C2×#388C2214yescomplemented
40C2×#388C2214yescomplemented
41C2×#388C2214yescomplemented
42C2×#385C2212yes—
43C2×#385C2212yes—
44C2×#385C2212yes—
45C2×#384C2212yescomplemented
46C2×#381C2212yes—
47C2×#381C2212yes—
48C2×#380C2211yescharacteristic
49C2×#380C2212yes—
50C2×#379C2212yes—
51C2×#379C2212yes—
52C2×#379C2212yes—
53C2×#379C2212yes—
54C2×C4×C22⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4C2211yescharacteristic
56C22×#95C2211yescharacteristic
57#1444C2214yescomplemented
58#1443C2214yescomplemented
59#1441C2214yescomplemented
60#1441C2214yescomplemented
61#1441C2214yescomplemented
62#1441C2214yescomplemented
63#1440C2214yescomplemented
64#1440C2214yescomplemented
65#1439C2214yescomplemented
66#1439C2214yescomplemented
67#1439C2212yescomplemented
68#1439C2212yescomplemented
69#1439C2214yescomplemented
70#1439C2214yescomplemented
71#1439C2214yescomplemented
72#1438C2214yes—
73#1438C2214yes—
74#1437C2214yescomplemented
75C4⋊#95C2212yescomplemented
76C4⋊#95C2212yescomplemented
77C22⋊#95C2212yes—
78C22⋊#95C2212yes—
79C26C2311yescharacteristic
80C26C2311yescharacteristic
81C23×Q8C2311yescharacteristic
82C23×D4—24no—
83C23×D4—44no—
84C23×D4—44no—
85C23×D4—44no—
86C23×D4C2314yes—
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C2×C22⋊Q8—24no—
93C2×C22⋊Q8—24no—
94C2×C22⋊Q8—24no—
95C22×C4⋊C4—24no—
96C22×C4⋊C4—44no—
97C22×C4⋊C4C2312yes—
98C22×C4⋊C4C2311yescharacteristic
99C22×C4⋊C4C2312yes—
100C22×C4⋊C4C2312yes—
101C22×C4⋊C4C2314yes—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2311yescharacteristic
104C22×C4⋊C4C2311yescharacteristic
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2314yes—
107C22×C4⋊C4C2314yes—
108C22×C22⋊C4—24no—
109C22×C22⋊C4—24no—
110C22×C22⋊C4—24no—
111C22×C22⋊C4—24no—
112C22×C22⋊C4—24no—
113C22×C22⋊C4—24no—
114C22×C22⋊C4—24no—
115C22×C22⋊C4—44no—
116C22×C22⋊C4—44no—
117C22×C22⋊C4D418yes—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
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⋊C4C2314yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2314yes—
138C22×C42C2312yes—
139C22×C42C2312yes—
140#399—28no—
141#397—28no—
142#396—28no—
143#396—28no—
144#396—48no—
145#394—216no—
146#394—216no—
147#394—48no—
148#394—48no—
149#393—28no—
150#393—28no—
151#391—44no—
152#388—216no—
153#388—216no—
154#388—216no—
155#385—28no—
156#385—44no—
157#385—44no—
158#384—44no—
159#381—28no—
160#381—44no—
161#380—24no—
162#380—28no—
163#379—28no—
164#379—28no—
165#379—28no—
166#379—44no—
167C4×C22⋊C4—24no—
168C4×C22⋊C4D418yescomplemented
169C2×#95—24no—
170C2×#95C2312yes—
171C2×#95C2312yes—
172C2×#95C2312yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2312yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2312yes—
187C25—22no—
188C25—24no—
189C25—24no—
190C25—22no—
191C25—22no—
192C25—24no—
193C25—22no—
194C25—22no—
195C25—24no—
196C25—24no—
197C25—42no—
198C25—42no—
199C25—42no—
200C25—42no—
201C25—42no—
202C25—42no—
203C25—42no—
204C25C2×D414yes—
205C25C2412yes—
206C25C2412yes—
207C25C2411yescharacteristic
208C22×Q8—22no—
209C22×Q8—22no—
210C22×Q8—22no—
211C22×Q8—42no—
212C22×Q8—42no—
213C22×D4—28no—
214C22×D4—28no—
215C22×D4—28no—
216C22×D4—44no—
217C22×D4—44no—
218C22×D4—44no—
219C22×D4—44no—
220C22×D4—416no—
221C22×D4—416no—
222C22×D4—416no—
223C22×D4—464no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—24no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—42no—
237C23×C4—42no—
238C23×C4—42no—
239C23×C4—42no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4—42no—
243C23×C4C2×D414yes—
244C23×C4C2×D414yes—
245C23×C4C2×D414yes—
246C23×C4#4114yes—
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2412yes—
250C23×C4C2412yes—
251C23×C4C2414yes—
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2414yes—
255C23×C4C2412yes—
256C23×C4C2412yes—
257C23×C4C2411yescharacteristic
258C23×C4C2411yescharacteristic
259C22⋊Q8—416no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—28no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—28no—
276C2×C4⋊C4—42no—
277C2×C4⋊C4—42no—
278C2×C4⋊C4—416no—
279C2×C4⋊C4—42no—
280C2×C4⋊C4—44no—
281C2×C4⋊C4—44no—
282C2×C4⋊C4—42no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4—44no—
285C2×C4⋊C4—44no—
286C2×C4⋊C4—44no—
287C2×C4⋊C4—44no—
288C2×C4⋊C4—44no—
289C2×C4⋊C4—44no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—232no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—28no—
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—28no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—28no—
322C2×C22⋊C4—28no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—416no—
330C2×C22⋊C4—416no—
331C2×C22⋊C4—416no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4C2×D418yes—
348C2×C22⋊C4C2×D418yes—
349C2×C22⋊C4C2×D418yes—
350C2×C42—24no—
351C2×C42—42no—
352C2×C42—42no—
353C2×C42—42no—
354C2×C42—42no—
355C2×C42C2×D418yescomplemented
356#95—28no—
357#95—24no—
358#95—28no—
359#95—24no—
360#95—28no—
361#95—28no—
362#95—24no—
363#95—24no—
364#95—28no—
365#95—44no—
366#95—44no—
367#95—44no—
368#95—44no—
369#95—44no—
370#95—44no—
371#95—44no—
372#95C2×D418yescomplemented
373C24—22no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—28no—
378C24—28no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—24no—
385C24—24no—
386C24—24no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—24no—
391C24—22no—
392C24—22no—
393C24—24no—
394C24—24no—
395C24—24no—
396C24—22no—
397C24—22no—
398C24—24no—
399C24—28no—
400C24—28no—
401C24—44no—
402C24—44no—
403C24—44no—
404C24—44no—
405C24—416no—
406C24—48no—
407C24—48no—
408C24—416no—
409C24—44no—
410C24—416no—
411C24—44no—
412C24—44no—
413C24—416no—
414C24—44no—
415C24—44no—
416C24—44no—
417C24—48no—
418C24—48no—
419C24—48no—
420C24—48no—
421C24—84no—
422C24—84no—
423C24—84no—
424C24—84no—
425C24—84no—
426C24—84no—
427C24—88no—
428C24—88no—
429C24—88no—
430C24—88no—
431C24C22×D414yes—
432C24C22×D412yes—
433C24C22×D412yes—
434C24C2×#4112yes—
435C24H(5,𝔽2)14yes—
436C24H(5,𝔽2)14yes—
437C242−1+414yes—
438C24C2511yescharacteristic
439C2×Q8—48no—
440C2×Q8—44no—
441C2×Q8—82no—
442C2×Q8—82no—
443C2×Q8—84no—
444C2×D4—416no—
445C2×D4—416no—
446C2×D4—416no—
447C2×D4—416no—
448C2×D4—416no—
449C2×D4—416no—
450C2×D4—4128no—
451C2×D4—416no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—28no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—28no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—22no—
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—44no—
510C22×C4—44no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—416no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—48no—
525C22×C4—48no—
526C22×C4—84no—
527C22×C4—84no—
528C22×C4—88no—
529C22×C4#121116yes—
530C22×C4C22×D414yes—
531C22×C4C22×D418yes—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D412yes—
535C22×C4C22×D412yes—
536C22×C4C2×#4112yes—
537C22×C4C2×#4112yes—
538C22×C4H(5,𝔽2)14yes—
539C4⋊C4—48no—
540C4⋊C4—48no—
541C4⋊C4—44no—
542C4⋊C4—48no—
543C4⋊C4—82no—
544C4⋊C4—82no—
545C4⋊C4—84no—
546C4⋊C4—84no—
547C4⋊C4—88no—
548C4⋊C4—88no—
549C4⋊C4—88no—
550C22⋊C4—216no—
551C22⋊C4—216no—
552C22⋊C4—216no—
553C22⋊C4—416no—
554C22⋊C4—416no—
555C22⋊C4—416no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—88no—
562C22⋊C4—88no—
563C22⋊C4—88no—
564C22⋊C4—84no—
565C22⋊C4—84no—
566C22⋊C4—84no—
567C22⋊C4—84no—
568C22⋊C4—88no—
569C22⋊C4—88no—
570C42—48no—
571C42—84no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—28no—
581C23—28no—
582C23—28no—
583C23—28no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—28no—
595C23—28no—
596C23—416no—
597C23—416no—
598C23—416no—
599C23—416no—
600C23—416no—
601C23—416no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—44no—
608C23—42no—
609C23—42no—
610C23—44no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—44no—
615C23—42no—
616C23—42no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—88no—
637C23—88no—
638C23—88no—
639C23—88no—
640C23—832no—
641C23—832no—
642C23—88no—
643C23—832no—
644C23—88no—
645C23—88no—
646C23—832no—
647C23—88no—
648C23C2×#12114yes—
649C23#53514yes—
650C23#53614yes—
651C23#53718yes—
652C23#54218yes—
653C23C23×D411yescharacteristic
654C23C23×D411yescharacteristic
655C23C22×#4111yescharacteristic
656C23C2×H(5,𝔽2)12yes—
657C23C2×H(5,𝔽2)12yes—
658C23C2×H(5,𝔽2)12yes—
659C23C2×2−1+412yes—
660C23#58512yes—
661C23#58512yes—
662Q8—88no—
663D4—464no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—28no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—28no—
678C2×C4—28no—
679C2×C4—28no—
680C2×C4—416no—
681C2×C4—416no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—42no—
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—44no—
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—88no—
729C2×C4—88no—
730C2×C4—88no—
731C2×C4C2×#12114yes—
732C2×C4C2×#12114yes—
733C22—24no—
734C22—216no—
735C22—24no—
736C22—24no—
737C22—24no—
738C22—24no—
739C22—216no—
740C22—24no—
741C22—44no—
742C22—44no—
743C22—48no—
744C22—44no—
745C22—44no—
746C22—44no—
747C22—44no—
748C22—44no—
749C22—44no—
750C22—48no—
751C22—44no—
752C22—44no—
753C22—832no—
754C22—832no—
755C22—82no—
756C22—82no—
757C22—84no—
758C22—84no—
759C22—84no—
760C22—82no—
761C22—82no—
762C22—84no—
763C22—84no—
764C22—84no—
765C22#262018yes—
766C22C22×#12111yescharacteristic
767C22C2×#53511yescharacteristic
768C22C2×#53611yescharacteristic
769C22C2×#53712yes—
770C22C2×#54212yes—
771C22#348411yescharacteristic
772C22#348411yescharacteristic
773C22#348511yescharacteristic
774C22#348511yescharacteristic
775C22#348812yes—
776C22#349412yes—
777C22#349612yes—
778C22#350512yes—
779C22#353214yes—
780C22#353314yes—
781C22#353514yes—
782C22#356114yes—
783C4—24no—
784C4—24no—
785C4—48no—
786C4—44no—
787C4—44no—
788C4—82no—
789C4—82no—
790C4—84no—
791C4—82no—
792C4—82no—
793C4—82no—
794C4—82no—
795C2—28no—
796C2—84no—
797C2—84no—
798C2C2×#262011yescharacteristic
799C2#3535811yescharacteristic
800C2#3551411yescharacteristic
801C2#3670311yescharacteristic
802C2#3672011yescharacteristic
803C2#3695611yescharacteristic
804C2#3696611yescharacteristic
805C2#4051414yes—
806C2#4056014yes—
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×#2561C2semidirect
2. C2×#2626C2semidirect
4. C2×#2312C2semidirect
5. #16817C2semidirect
6. #16514C2semidirect
7. #16467C2semidirect
8. #16294C2semidirect
9. #14935C2semidirect
10. #14918C2semidirect
11. #14726C2semidirect
13. #14139C2semidirect
14. #13903C2semidirect
15. #13880C2semidirect
25. C2×#399C22semidirect
26. C2×#397C22semidirect
27. C2×#396C22semidirect
28. C2×#396C22semidirect
29. C2×#396C22semidirect
35. C2×#393C22semidirect
36. C2×#393C22semidirect
38. C2×#391C22semidirect
39. C2×#388C22semidirect
40. C2×#388C22semidirect
41. C2×#388C22semidirect
45. C2×#384C22semidirect
57. #1444C22semidirect
58. #1443C22semidirect
59. #1441C22semidirect
60. #1441C22semidirect
61. #1441C22semidirect
62. #1441C22semidirect
63. #1440C22semidirect
64. #1440C22semidirect
65. #1439C22semidirect
66. #1439C22semidirect
67. #1439C22semidirect
68. #1439C22semidirect
69. #1439C22semidirect
70. #1439C22semidirect
71. #1439C22semidirect
74. #1437C22semidirect
75. C4⋊#95C22semidirect
76. C4⋊#95C22semidirect
168. C4×C22⋊C4D4semidirect
355. C2×C42C2×D4semidirect
372. #95C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25612
C2×#26262
C22×#3942
C2×#23122
#168172
#165142
#164672
#162942
#149352
#149182
#147262
#147242
#141392
#139032
#138802