Finite Group Databasebeta

← #626259

Subgroups — #626259

Order 512.

4798 conjugacy classes of subgroups.

The subgroup lattice has 821 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2482C211yesmaximal, characteristic, complemented
2C2×#2404C211yesmaximal, characteristic
3C2×#2311C211yesmaximal, characteristic, complemented
4C22×#385C211yesmaximal, characteristic, complemented
5#15824C214yesmaximal, complemented
6#15439C214yesmaximal, complemented
7#15419C214yesmaximal, complemented
8#15390C214yesmaximal, complemented
9#14729C212yesmaximal, complemented
10#14725C212yesmaximal, complemented
11#14694C212yesmaximal, complemented
12#14339C211yesmaximal, characteristic, complemented
13#14259C212yesmaximal, complemented
14#13958C211yesmaximal, characteristic, complemented
15#13956C211yesmaximal, characteristic, complemented
16C23×#41C2211yescharacteristic
17C25×C4C2211yescharacteristic
18C22×#120C2212yes—
19C22×#117C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C23×C4⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24#2482—28no—
25#2404—28no—
26C2×#399C2212yes—
27C2×#397C2212yes—
28C2×#396C2214yescomplemented
29C2×#394C2214yes—
30C2×#393C2212yes—
31C2×#392C2212yes—
32#2311—28no—
33C2×#391C2212yescomplemented
34C2×#390C2212yescomplemented
35C2×#388C2214yes—
36C2×#386C2214yes—
37C2×#386C2212yes—
38C2×#386C2212yes—
39C2×#386C2212yes—
40C2×#386C2212yes—
41C2×#386C2214yes—
42C2×#386C2214yes—
43C2×#386C2212yes—
44C2×#385—28no—
45C2×#385C2214yes—
46C2×#385C2214yes—
47C2×#385C2212yes—
48C2×#381C2211yescharacteristic
49C2×#381C2211yescharacteristic
50C2×#380C2212yes—
51C2×#380C2212yescomplemented
52C2×#380C2212yescomplemented
53C2×#379C2212yes—
54C22×#95C2211yescharacteristic
55C22×#95C2211yescharacteristic
56#1446C2212yescomplemented
57#1445C2212yescomplemented
58#1445C2212yescomplemented
59#1443C2214yescomplemented
60#1442C2214yescomplemented
61#1441C2214yescomplemented
62#1441C2214yescomplemented
63#1441C2214yescomplemented
64#1441C2214yescomplemented
65#1440C2214yes—
66#1440C2214yescomplemented
67#1439C2214yes—
68#1439C2214yescomplemented
69#1439C2214yescomplemented
70#1438C2214yes—
71#1438C2212yescomplemented
72#1434C2214yescomplemented
73C22⋊#95C2212yes—
74C22⋊#95C2214yes—
75C22⋊#95C2214yes—
76C22⋊#95C2212yes—
77C22⋊#95C2212yes—
78C22⋊#95C2214yescomplemented
79C26C2311yescharacteristic
80C22×#41—28no—
81C22×#41—24no—
82C22×#41—24no—
83C22×#41—24no—
84C22×#41—44no—
85C23×Q8C2311yescharacteristic
86C23×D4C2312yes—
87C23×D4C2311yescharacteristic
88C23×D4C2314yes—
89C24×C4—24no—
90C24×C4—44no—
91C24×C4—44no—
92C24×C4—44no—
93C24×C4C2311yescharacteristic
94C24×C4C2312yes—
95C24×C4C2311yescharacteristic
96C24×C4C2314yes—
97C24×C4C2311yescharacteristic
98C24×C4C2311yescharacteristic
99C24×C4C2311yescharacteristic
100C24×C4C2311yescharacteristic
101C2×#120—28no—
102C2×#120—28no—
103C2×#120—44no—
104C2×#117—24no—
105C2×#117—24no—
106C2×#117—24no—
107C22×C4⋊C4—24no—
108C22×C4⋊C4—44no—
109C22×C4⋊C4—44no—
110C22×C4⋊C4D418yescomplemented
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2314yes—
114C22×C4⋊C4C2314yes—
115C22×C4⋊C4C2314yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2312yes—
118C22×C22⋊C4—24no—
119C22×C22⋊C4—24no—
120C22×C22⋊C4—24no—
121C22×C22⋊C4—44no—
122C22×C22⋊C4D418yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C42C2312yes—
140#399—28no—
141#397—28no—
142#396—48no—
143#394—48no—
144#393—28no—
145#392—28no—
146#391—28no—
147#390—28no—
148#388—216no—
149#386—28no—
150#386—28no—
151#386—28no—
152#386—28no—
153#386—216no—
154#386—48no—
155#386—44no—
156#386—48no—
157#385—28no—
158#385—216no—
159#385—216no—
160#381—24no—
161#381—24no—
162#380—28no—
163#380—28no—
164#380—44no—
165#379—28no—
166C2×#95—24no—
167C2×#95—24no—
168C2×#95C2312yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2312yes—
172C2×#95C2314yes—
173C2×#95C2312yes—
174C2×#95C2312yes—
175C2×#95C2312yes—
176C2×#95C2314yes—
177C2×#95C2312yes—
178C2×#95C2312yes—
179C2×#95C2312yes—
180C2×#95C2314yes—
181C2×#95C2312yes—
182C2×#95C2312yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C25—22no—
191C25—22no—
192C25—24no—
193C25—24no—
194C25—24no—
195C25—24no—
196C25—42no—
197C25—42no—
198C25C2×D414yes—
199C25C2412yes—
200C25C2412yes—
201C25C2411yescharacteristic
202C2×#41—232no—
203C2×#41—432no—
204C2×#41—432no—
205C2×#41—416no—
206C2×#41—416no—
207C22×Q8—22no—
208C22×Q8—22no—
209C22×Q8—24no—
210C22×Q8—22no—
211C22×Q8—42no—
212C22×D4—24no—
213C22×D4—24no—
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—24no—
217C22×D4—24no—
218C22×D4—24no—
219C22×D4—28no—
220C22×D4—28no—
221C22×D4—28no—
222C22×D4—28no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—42no—
227C22×D4—44no—
228C22×D4—44no—
229C22×D4—44no—
230C22×D4#4118yes—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—24no—
237C23×C4—24no—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—24no—
241C23×C4—24no—
242C23×C4—22no—
243C23×C4—28no—
244C23×C4—24no—
245C23×C4—24no—
246C23×C4—28no—
247C23×C4—24no—
248C23×C4—24no—
249C23×C4—28no—
250C23×C4—42no—
251C23×C4—42no—
252C23×C4—42no—
253C23×C4—42no—
254C23×C4—44no—
255C23×C4—44no—
256C23×C4—44no—
257C23×C4—44no—
258C23×C4—42no—
259C23×C4—42no—
260C23×C4—42no—
261C23×C4—42no—
262C23×C4—42no—
263C23×C4—42no—
264C23×C4—42no—
265C23×C4—416no—
266C23×C4—416no—
267C23×C4—416no—
268C23×C4—464no—
269C23×C4C2×D414yes—
270C23×C4C2×D414yes—
271C23×C4C2×D414yes—
272C23×C4C2×D414yes—
273C23×C4C2×D414yes—
274C23×C4#4114yes—
275C23×C4C2412yes—
276C23×C4C2414yes—
277C23×C4C2412yes—
278C23×C4C2412yes—
279C23×C4C2414yes—
280C23×C4C2412yes—
281C23×C4C2412yes—
282C23×C4C2412yes—
283C23×C4C2412yes—
284C23×C4C2412yes—
285C23×C4C2411yescharacteristic
286C23×C4C2411yescharacteristic
287#120—432no—
288#117—416no—
289C2×C4⋊C4—28no—
290C2×C4⋊C4—22no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—22no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—28no—
297C2×C4⋊C4—28no—
298C2×C4⋊C4—416no—
299C2×C4⋊C4—42no—
300C2×C4⋊C4—42no—
301C2×C4⋊C4—42no—
302C2×C4⋊C4—42no—
303C2×C4⋊C4—44no—
304C2×C4⋊C4—416no—
305C2×C4⋊C4—44no—
306C2×C4⋊C4—44no—
307C2×C4⋊C4—44no—
308C2×C4⋊C4—44no—
309C2×C4⋊C4—44no—
310C2×C4⋊C4C2×D418yes—
311C2×C4⋊C4C2×D418yes—
312C2×C22⋊C4—232no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—28no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—28no—
330C2×C22⋊C4—28no—
331C2×C22⋊C4—28no—
332C2×C22⋊C4—28no—
333C2×C22⋊C4—28no—
334C2×C22⋊C4—28no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—28no—
340C2×C22⋊C4—28no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—416no—
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⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4C2×D418yes—
357C2×C22⋊C4C2×D418yes—
358C2×C42—24no—
359C2×C42—24no—
360C2×C42—24no—
361#95—28no—
362#95—24no—
363#95—24no—
364#95—24no—
365#95—24no—
366#95—24no—
367#95—24no—
368#95—24no—
369#95—24no—
370#95—24no—
371#95—24no—
372#95—28no—
373#95—28no—
374#95—28no—
375#95—28no—
376#95—44no—
377#95—44no—
378#95—44no—
379#95—44no—
380#95—44no—
381#95—44no—
382#95—44no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—28no—
388C24—28no—
389C24—216no—
390C24—28no—
391C24—216no—
392C24—22no—
393C24—22no—
394C24—24no—
395C24—22no—
396C24—24no—
397C24—24no—
398C24—22no—
399C24—24no—
400C24—216no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—24no—
406C24—24no—
407C24—22no—
408C24—22no—
409C24—24no—
410C24—24no—
411C24—48no—
412C24—416no—
413C24—416no—
414C24—416no—
415C24—416no—
416C24—44no—
417C24—48no—
418C24—44no—
419C24—44no—
420C24—44no—
421C24—48no—
422C24C22×D414yes—
423C24C22×D412yes—
424C24C22×D412yes—
425C24C2×#4114yes—
426C24C2×#4112yes—
427C24C2×#4114yes—
428C24H(5,𝔽2)14yes—
429C24H(5,𝔽2)14yes—
430C242−1+414yes—
431C24C2511yescharacteristic
432#41—4128no—
433C2×Q8—28no—
434C2×Q8—48no—
435C2×Q8—48no—
436C2×Q8—44no—
437C2×Q8—44no—
438C2×D4—28no—
439C2×D4—216no—
440C2×D4—216no—
441C2×D4—216no—
442C2×D4—48no—
443C2×D4—48no—
444C2×D4—44no—
445C2×D4—48no—
446C2×D4—48no—
447C2×D4—48no—
448C2×D4—48no—
449C2×D4—416no—
450C2×D4—416no—
451C2×D4—416no—
452C2×D4—416no—
453C2×D4—44no—
454C2×D4—88no—
455C2×D4—88no—
456C2×D4—88no—
457C22×C4—28no—
458C22×C4—28no—
459C22×C4—216no—
460C22×C4—216no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—28no—
466C22×C4—216no—
467C22×C4—28no—
468C22×C4—28no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—28no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—24no—
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—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—22no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—22no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—48no—
524C22×C4—416no—
525C22×C4—48no—
526C22×C4—48no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—416no—
530C22×C4—416no—
531C22×C4—416no—
532C22×C4—48no—
533C22×C4—48no—
534C22×C4—416no—
535C22×C4—416no—
536C22×C4—48no—
537C22×C4—44no—
538C22×C4—48no—
539C22×C4—44no—
540C22×C4—44no—
541C22×C4—416no—
542C22×C4—416no—
543C22×C4—4128no—
544C22×C4—416no—
545C22×C4—44no—
546C22×C4—48no—
547C22×C4—44no—
548C22×C4—44no—
549C22×C4—44no—
550C22×C4—88no—
551C22×C4—88no—
552C22×C4#121116yes—
553C22×C4C22×D414yes—
554C22×C4C22×D414yes—
555C22×C4C22×D414yes—
556C22×C4C22×D412yes—
557C22×C4C22×D412yes—
558C22×C4C22×D412yes—
559C22×C4C22×D412yes—
560C22×C4C2×#4114yes—
561C22×C4C2×#4112yes—
562C22×C4C2×#4112yes—
563C22×C4H(5,𝔽2)14yes—
564C4⋊C4—48no—
565C4⋊C4—48no—
566C4⋊C4—416no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—88no—
570C4⋊C4—88no—
571C22⋊C4—216no—
572C22⋊C4—216no—
573C22⋊C4—416no—
574C22⋊C4—416no—
575C22⋊C4—48no—
576C22⋊C4—416no—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—84no—
580C22⋊C4—84no—
581C22⋊C4—84no—
582C22⋊C4—84no—
583C22⋊C4—88no—
584C22⋊C4—88no—
585C22⋊C4—88no—
586C22⋊C4—88no—
587C42—48no—
588C23—24no—
589C23—24no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—24no—
595C23—24no—
596C23—28no—
597C23—28no—
598C23—28no—
599C23—28no—
600C23—232no—
601C23—24no—
602C23—24no—
603C23—28no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—24no—
608C23—28no—
609C23—28no—
610C23—28no—
611C23—28no—
612C23—28no—
613C23—24no—
614C23—24no—
615C23—24no—
616C23—28no—
617C23—28no—
618C23—464no—
619C23—416no—
620C23—416no—
621C23—416no—
622C23—416no—
623C23—416no—
624C23—464no—
625C23—42no—
626C23—42no—
627C23—44no—
628C23—44no—
629C23—42no—
630C23—42no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—416no—
636C23—42no—
637C23—42no—
638C23—44no—
639C23—44no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—44no—
647C23—44no—
648C23—44no—
649C23—44no—
650C23—44no—
651C23—44no—
652C23—44no—
653C23—44no—
654C23C2×#12114yes—
655C23#52514yes—
656C23#53414yes—
657C23#53718yes—
658C23#54618yes—
659C23#55118yes—
660C23C23×D411yescharacteristic
661C23C23×D411yescharacteristic
662C23C22×#4111yescharacteristic
663C23C22×#4112yes—
664C23C2×H(5,𝔽2)12yes—
665C23C2×H(5,𝔽2)12yes—
666C23C2×H(5,𝔽2)12yes—
667C23C2×2−1+412yes—
668C23#58512yes—
669Q8—416no—
670D4—416no—
671D4—432no—
672D4—832no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—232no—
682C2×C4—24no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—24no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—24no—
691C2×C4—24no—
692C2×C4—24no—
693C2×C4—28no—
694C2×C4—28no—
695C2×C4—432no—
696C2×C4—416no—
697C2×C4—416no—
698C2×C4—416no—
699C2×C4—464no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—44no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—44no—
740C2×C4—44no—
741C2×C4—44no—
742C2×C4—44no—
743C2×C4—88no—
744C2×C4—88no—
745C2×C4C2×#12114yes—
746C2×C4C2×#12114yes—
747C22—24no—
748C22—24no—
749C22—24no—
750C22—24no—
751C22—24no—
752C22—216no—
753C22—24no—
754C22—216no—
755C22—28no—
756C22—216no—
757C22—464no—
758C22—44no—
759C22—44no—
760C22—44no—
761C22—44no—
762C22—44no—
763C22—44no—
764C22—48no—
765C22—48no—
766C22—48no—
767C22—44no—
768C22—44no—
769C22—44no—
770C22—48no—
771C22—48no—
772C22—82no—
773C22—82no—
774C22—82no—
775C22—84no—
776C22—82no—
777C22—84no—
778C22#253418yes—
779C22C22×#12111yescharacteristic
780C22C2×#52511yescharacteristic
781C22C2×#53411yescharacteristic
782C22C2×#53712yes—
783C22#346012yes—
784C22C2×#54612yes—
785C22C2×#55112yes—
786C22#348411yescharacteristic
787C22#348411yescharacteristic
788C22#348611yescharacteristic
789C22#348711yescharacteristic
790C22#349212yes—
791C22#349612yes—
792C22#351314yes—
793C22#352014yes—
794C22#353214yes—
795C22#353514yes—
796C4—24no—
797C4—24no—
798C4—44no—
799C4—44no—
800C4—44no—
801C4—44no—
802C4—44no—
803C4—82no—
804C4—82no—
805C4—82no—
806C4—84no—
807C4—84no—
808C2—28no—
809C2—48no—
810C2—84no—
811C2C2×#253411yescharacteristic
812C2#3516811yescharacteristic
813C2#3522311yescharacteristic
814C2#3535611yescharacteristic
815C2#3535711yescharacteristic
816C2#3670211yescharacteristic
817C2#3718611yescharacteristic
818C2#3807714yes—
819C2#3903714yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2404C2
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×#2482C2semidirect
3. C2×#2311C2semidirect
4. C22×#385C2semidirect
5. #15824C2semidirect
6. #15439C2semidirect
7. #15419C2semidirect
8. #15390C2semidirect
9. #14729C2semidirect
10. #14725C2semidirect
11. #14694C2semidirect
12. #14339C2semidirect
13. #14259C2semidirect
14. #13958C2semidirect
15. #13956C2semidirect
28. C2×#396C22semidirect
33. C2×#391C22semidirect
34. C2×#390C22semidirect
51. C2×#380C22semidirect
52. C2×#380C22semidirect
56. #1446C22semidirect
57. #1445C22semidirect
58. #1445C22semidirect
59. #1443C22semidirect
60. #1442C22semidirect
61. #1441C22semidirect
62. #1441C22semidirect
63. #1441C22semidirect
64. #1441C22semidirect
66. #1440C22semidirect
68. #1439C22semidirect
69. #1439C22semidirect
71. #1438C22semidirect
72. #1434C22semidirect
78. C22⋊#95C22semidirect
110. C22×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#24822
C2×#24042
C2×#23112
C22×#3852
#158242
#154392
#154192
#153902
#147292
#147252
#146942
#143392
#142592
#139582
#139562