Finite Group Databasebeta

← #626267

Subgroups — #626267

Order 512.

4432 conjugacy classes of subgroups.

The subgroup lattice has 805 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2411C212yesmaximal, complemented
2C2×#2618C211yesmaximal, characteristic, complemented
3C22×#385C211yesmaximal, characteristic, complemented
4#15590C214yesmaximal, complemented
5#15577C214yesmaximal, complemented
6#15507C214yesmaximal, complemented
7#15498C214yesmaximal, complemented
8#14821C211yesmaximal, characteristic, complemented
9#14820C211yesmaximal, characteristic, complemented
10#14719C211yesmaximal, characteristic, complemented
11#14716C211yesmaximal, characteristic
12#14694C212yesmaximal, complemented
13#14259C212yesmaximal, complemented
14#14135C212yesmaximal, complemented
15#13795C211yesmaximal, characteristic, complemented
16C25×C4C2211yescharacteristic
17C22×#123C2212yes—
18C22×#121C2211yescharacteristic
19C22×#120C2212yes—
20C22×#117C2212yes—
21C23×C4⋊C4C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25#2618—28no—
26#2411—216no—
27C2×#398C2212yescomplemented
28C2×#398C2212yescomplemented
29C2×#397C2212yes—
30C2×#396C2214yes—
31C2×#396C2212yescomplemented
32C2×#396C2212yescomplemented
33C2×#394C2214yes—
34C2×#394C2212yescomplemented
35C2×#394C2212yescomplemented
36C2×#392C2212yes—
37C2×#390C2214yes—
38C2×#388C2214yes—
39C2×#386C2212yes—
40C2×#386C2212yes—
41C2×#386C2212yes—
42C2×#386C2212yes—
43C2×#386C2214yes—
44C2×#386C2214yes—
45C2×#385—28no—
46C2×#385C2214yes—
47C2×#385C2214yes—
48C2×#385C2212yes—
49C2×#380C2211yescharacteristic
50C2×#379C2212yes—
51C22×#95C2211yescharacteristic
52C22×#95C2211yescharacteristic
53#1443C2214yescomplemented
54#1442C2214yescomplemented
55#1441C2214yescomplemented
56#1441C2212yescomplemented
57#1441C2214yescomplemented
58#1441C2212yescomplemented
59#1440C2214yes—
60#1440C2214yescomplemented
61#1439C2212yes—
62#1439C2212yes—
63#1439C2214yescomplemented
64#1439C2214yescomplemented
65#1439C2214yescomplemented
66#1438C2214yes—
67#1437C2214yescomplemented
68#1436C2214yescomplemented
69C4⋊#95C2214yescomplemented
70C4⋊#95C2214yescomplemented
71C22⋊#95C2212yes—
72C22⋊#95C2212yes—
73C22⋊#95C2214yes—
74C22⋊#95C2212yes—
75C22⋊#95C2214yes—
76C22⋊#95C2211yescharacteristic
77C22⋊#95C2211yescharacteristic
78C26C2311yescharacteristic
79C23×D4C2312yes—
80C23×D4C2314yes—
81C23×D4C2311yescharacteristic
82C24×C4—24no—
83C24×C4—44no—
84C24×C4—44no—
85C24×C4—44no—
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2314yes—
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C2×#123—28no—
94C2×#123—28no—
95C2×#123—28no—
96C2×#121—24no—
97C2×#121—44no—
98C2×#120—28no—
99C2×#120—28no—
100C2×#120—44no—
101C2×#117—28no—
102C2×#117—28no—
103C2×#117—44no—
104C22×C4⋊C4—24no—
105C22×C4⋊C4—44no—
106C22×C4⋊C4—44no—
107C22×C4⋊C4D418yescomplemented
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2314yes—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2314yes—
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2312yes—
119C22×C22⋊C4—24no—
120C22×C22⋊C4—24no—
121C22×C22⋊C4—24no—
122C22×C22⋊C4—44no—
123C22×C22⋊C4D418yescomplemented
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2314yes—
139C22×C22⋊C4C2314yes—
140C22×C22⋊C4C2312yes—
141C22×C42C2314yes—
142#398—28no—
143#398—44no—
144#397—44no—
145#396—28no—
146#396—28no—
147#396—216no—
148#394—28no—
149#394—216no—
150#394—44no—
151#392—44no—
152#390—216no—
153#388—216no—
154#386—28no—
155#386—28no—
156#386—28no—
157#386—48no—
158#386—44no—
159#386—48no—
160#385—28no—
161#385—216no—
162#385—216no—
163#380—24no—
164#379—28no—
165C2×#95—24no—
166C2×#95—24no—
167C2×#95C2314yes—
168C2×#95C2312yes—
169C2×#95C2314yes—
170C2×#95C2312yes—
171C2×#95C2312yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2312yes—
177C2×#95C2312yes—
178C2×#95C2312yes—
179C2×#95C2314yes—
180C2×#95C2312yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C25—22no—
187C25—22no—
188C25—24no—
189C25—24no—
190C25—24no—
191C25—24no—
192C25—42no—
193C25—42no—
194C25C2×D414yes—
195C25C2412yes—
196C25C2412yes—
197C25C2411yescharacteristic
198C22×D4—24no—
199C22×D4—24no—
200C22×D4—24no—
201C22×D4—24no—
202C22×D4—24no—
203C22×D4—24no—
204C22×D4—24no—
205C22×D4—28no—
206C22×D4—28no—
207C22×D4—28no—
208C22×D4—22no—
209C22×D4—28no—
210C22×D4—44no—
211C22×D4—42no—
212C22×D4—44no—
213C22×D4—44no—
214C22×D4—42no—
215C22×D4—42no—
216C23×C4—24no—
217C23×C4—24no—
218C23×C4—22no—
219C23×C4—22no—
220C23×C4—22no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—22no—
225C23×C4—28no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—28no—
229C23×C4—28no—
230C23×C4—42no—
231C23×C4—42no—
232C23×C4—42no—
233C23×C4—42no—
234C23×C4—44no—
235C23×C4—44no—
236C23×C4—44no—
237C23×C4—44no—
238C23×C4—42no—
239C23×C4—42no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4—42no—
243C23×C4—416no—
244C23×C4—416no—
245C23×C4—416no—
246C23×C4—464no—
247C23×C4C2×D414yes—
248C23×C4C2×D414yes—
249C23×C4C2×D414yes—
250C23×C4C2×D414yes—
251C23×C4C2×D414yes—
252C23×C4#4114yes—
253C23×C4C2412yes—
254C23×C4C2412yes—
255C23×C4C2414yes—
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2411yescharacteristic
259C23×C4C2412yes—
260C23×C4C2411yescharacteristic
261C23×C4C2412yes—
262C23×C4C2414yes—
263C23×C4C2412yes—
264C23×C4C2412yes—
265#123—432no—
266#121—416no—
267#120—432no—
268#117—432no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—28no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—28no—
285C2×C4⋊C4—416no—
286C2×C4⋊C4—42no—
287C2×C4⋊C4—42no—
288C2×C4⋊C4—42no—
289C2×C4⋊C4—42no—
290C2×C4⋊C4—42no—
291C2×C4⋊C4—42no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—42no—
294C2×C4⋊C4—416no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—42no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4—42no—
299C2×C4⋊C4C2×D418yes—
300C2×C4⋊C4C2×D418yes—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—232no—
304C2×C22⋊C4—28no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—28no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—28no—
329C2×C22⋊C4—28no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—28no—
333C2×C22⋊C4—28no—
334C2×C22⋊C4—42no—
335C2×C22⋊C4—42no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—42no—
338C2×C22⋊C4—42no—
339C2×C22⋊C4—416no—
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⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4C2×D4116yes—
351C2×C22⋊C4#4118yes—
352C2×C42—28no—
353C2×C42—28no—
354C2×C42—44no—
355#95—28no—
356#95—28no—
357#95—24no—
358#95—28no—
359#95—28no—
360#95—24no—
361#95—24no—
362#95—28no—
363#95—28no—
364#95—44no—
365#95—44no—
366#95—44no—
367#95—44no—
368#95—44no—
369#95—42no—
370#95—42no—
371#95—42no—
372#95—44no—
373#95—42no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—28no—
379C24—28no—
380C24—216no—
381C24—28no—
382C24—216no—
383C24—22no—
384C24—22no—
385C24—24no—
386C24—22no—
387C24—24no—
388C24—24no—
389C24—22no—
390C24—24no—
391C24—216no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—24no—
398C24—22no—
399C24—24no—
400C24—22no—
401C24—24no—
402C24—24no—
403C24—48no—
404C24—416no—
405C24—416no—
406C24—416no—
407C24—416no—
408C24—44no—
409C24—48no—
410C24—44no—
411C24—44no—
412C24—44no—
413C24—48no—
414C24C22×D414yes—
415C24C22×D412yes—
416C24C22×D412yes—
417C24C2×#4112yes—
418C24C2×#4114yes—
419C24H(5,𝔽2)14yes—
420C24H(5,𝔽2)14yes—
421C242−1+414yes—
422C24C2511yescharacteristic
423C2×D4—416no—
424C2×D4—416no—
425C2×D4—416no—
426C2×D4—44no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—48no—
430C2×D4—416no—
431C2×D4—48no—
432C2×D4—48no—
433C2×D4—48no—
434C2×D4—48no—
435C2×D4—82no—
436C2×D4—82no—
437C2×D4—88no—
438C2×D4—88no—
439C2×D4—88no—
440C2×D4—88no—
441C22×C4—28no—
442C22×C4—28no—
443C22×C4—216no—
444C22×C4—216no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—28no—
450C22×C4—28no—
451C22×C4—28no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—28no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—48no—
511C22×C4—416no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—416no—
515C22×C4—416no—
516C22×C4—416no—
517C22×C4—416no—
518C22×C4—416no—
519C22×C4—44no—
520C22×C4—48no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—416no—
524C22×C4—416no—
525C22×C4—4128no—
526C22×C4—416no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—88no—
532C22×C4—88no—
533C22×C4#121116yes—
534C22×C4C22×D414yes—
535C22×C4C22×D414yes—
536C22×C4C22×D412yes—
537C22×C4C22×D412yes—
538C22×C4C22×D414yes—
539C22×C4C22×D414yes—
540C22×C4C2×#4118yes—
541C22×C4C2×#4114yes—
542C22×C4H(5,𝔽2)14yes—
543C4⋊C4—48no—
544C4⋊C4—48no—
545C4⋊C4—48no—
546C4⋊C4—48no—
547C4⋊C4—416no—
548C4⋊C4—44no—
549C4⋊C4—48no—
550C4⋊C4—48no—
551C4⋊C4—82no—
552C4⋊C4—82no—
553C4⋊C4—88no—
554C22⋊C4—216no—
555C22⋊C4—232no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—416no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—416no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—84no—
566C22⋊C4—84no—
567C22⋊C4—88no—
568C22⋊C4—88no—
569C22⋊C4—88no—
570C22⋊C4—88no—
571C42—416no—
572C23—24no—
573C23—24no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—24no—
580C23—28no—
581C23—28no—
582C23—28no—
583C23—28no—
584C23—232no—
585C23—24no—
586C23—24no—
587C23—28no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—28no—
593C23—28no—
594C23—28no—
595C23—28no—
596C23—28no—
597C23—464no—
598C23—416no—
599C23—416no—
600C23—416no—
601C23—416no—
602C23—416no—
603C23—464no—
604C23—42no—
605C23—42no—
606C23—44no—
607C23—44no—
608C23—42no—
609C23—42no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—416no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—44no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—44no—
638C23C2×#12114yes—
639C23#53214yes—
640C23#53414yes—
641C23#53718yes—
642C23#54618yes—
643C23#55318yes—
644C23C23×D411yescharacteristic
645C23C23×D411yescharacteristic
646C23C22×#4111yescharacteristic
647C23C22×#4112yes—
648C23C2×H(5,𝔽2)12yes—
649C23C2×H(5,𝔽2)12yes—
650C23C2×H(5,𝔽2)12yes—
651C23C2×2−1+412yes—
652C23#58512yes—
653D4—832no—
654D4—88no—
655D4—816no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—232no—
663C2×C4—24no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—24no—
667C2×C4—28no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—22no—
673C2×C4—24no—
674C2×C4—22no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—28no—
678C2×C4—28no—
679C2×C4—28no—
680C2×C4—416no—
681C2×C4—416no—
682C2×C4—416no—
683C2×C4—464no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
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—88no—
729C2×C4—88no—
730C2×C4C2×#12118yes—
731C22—24no—
732C22—24no—
733C22—24no—
734C22—24no—
735C22—24no—
736C22—216no—
737C22—24no—
738C22—216no—
739C22—28no—
740C22—216no—
741C22—464no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—44no—
746C22—44no—
747C22—44no—
748C22—48no—
749C22—48no—
750C22—48no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—84no—
758C22—84no—
759C22—82no—
760C22—84no—
761C22—84no—
762C22#254318yes—
763C22C22×#12111yescharacteristic
764C22C2×#53211yescharacteristic
765C22C2×#53411yescharacteristic
766C22C2×#53712yes—
767C22#346012yes—
768C22C2×#54612yes—
769C22C2×#55312yes—
770C22#348411yescharacteristic
771C22#348411yescharacteristic
772C22#348611yescharacteristic
773C22#348711yescharacteristic
774C22#349212yes—
775C22#349612yes—
776C22#351314yes—
777C22#352014yes—
778C22#353214yes—
779C22#353514yes—
780C4—28no—
781C4—44no—
782C4—44no—
783C4—44no—
784C4—42no—
785C4—42no—
786C4—48no—
787C4—82no—
788C4—82no—
789C4—82no—
790C4—82no—
791C4—84no—
792C2—28no—
793C2—48no—
794C2—162no—
795C2C2×#254311yescharacteristic
796C2#3516811yescharacteristic
797C2#3522311yescharacteristic
798C2#3539611yescharacteristic
799C2#3539711yescharacteristic
800C2#3671411yescharacteristic
801C2#3718611yescharacteristic
802C2#3807714yes—
803C2#3904914yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radical#14716C2
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×#2411C2semidirect
2. C2×#2618C2semidirect
3. C22×#385C2semidirect
4. #15590C2semidirect
5. #15577C2semidirect
6. #15507C2semidirect
7. #15498C2semidirect
8. #14821C2semidirect
9. #14820C2semidirect
10. #14719C2semidirect
12. #14694C2semidirect
13. #14259C2semidirect
14. #14135C2semidirect
15. #13795C2semidirect
27. C2×#398C22semidirect
28. C2×#398C22semidirect
31. C2×#396C22semidirect
32. C2×#396C22semidirect
34. C2×#394C22semidirect
35. C2×#394C22semidirect
53. #1443C22semidirect
54. #1442C22semidirect
55. #1441C22semidirect
56. #1441C22semidirect
57. #1441C22semidirect
58. #1441C22semidirect
60. #1440C22semidirect
63. #1439C22semidirect
64. #1439C22semidirect
65. #1439C22semidirect
67. #1437C22semidirect
68. #1436C22semidirect
69. C4⋊#95C22semidirect
70. C4⋊#95C22semidirect
107. C22×C4⋊C4D4semidirect
123. C22×C22⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#24112
C2×#26182
C22×#3852
#155902
#155772
#155072
#154982
#148212
#148202
#147192
#147162
#146942
#142592
#141352
#137952