Finite Group Databasebeta

← #640970

Subgroups — #640970

Order 512.

7542 conjugacy classes of subgroups.

The subgroup lattice has 829 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#121C211yesmaximal, characteristic
2C2×#2405C212yesmaximal, complemented
3C2×#2618C212yesmaximal, complemented
4C22×#385C211yesmaximal, characteristic, complemented
5#16501C214yesmaximal, complemented
6#16261C214yesmaximal, complemented
7#14926C212yesmaximal, complemented
8#14786C212yesmaximal, complemented
9#14726C214yesmaximal, complemented
10#14724C212yesmaximal, complemented
11#14719C212yesmaximal, complemented
12#14680C211yesmaximal, characteristic, complemented
13#14271C212yesmaximal, complemented
14#13867C212yesmaximal, complemented
15C24×D4C2212yes—
16C24×D4C2211yescharacteristic
17C25×C4C2211yescharacteristic
18C22×#123C2214yescomplemented
19C22×#121—28no—
20C22×#121—216no—
21C22×#121C2212yes—
22C22×#121C2212yes—
23C22×#121C2212yes—
24C22×#121C2212yes—
25C23×C4⋊C4C2211yescharacteristic
26C23×C4⋊C4C2211yescharacteristic, complemented
27C23×C4⋊C4C2211yescharacteristic, complemented
28C23×C22⋊C4C2212yes—
29C23×C22⋊C4C2211yescharacteristic
30C23×C22⋊C4C2211yescharacteristic
31#2618—216no—
32#2405—216no—
33C2×#398C2214yescomplemented
34C2×#396C2218yescomplemented
35C2×#394C2218yescomplemented
36C2×#394C2214yescomplemented
37C2×#394C2214yescomplemented
38C2×#386C2214yescomplemented
39C2×#386C2214yescomplemented
40C2×#386C2214yescomplemented
41C2×#385—28no—
42C2×#385C2214yes—
43C2×#385C2212yes—
44C2×#385C2212yes—
45C2×#385C2212yescomplemented
46C2×#385C2212yescomplemented
47C2×#380C2212yes—
48C2×#380C2212yescomplemented
49C2×#380C2212yescomplemented
50C2×#379C2212yes—
51C2×#379C2214yes—
52C2×#379C2214yes—
53C22×#95C2211yescharacteristic, complemented
54C22×#95C2211yescharacteristic, complemented
55#1445C2214yescomplemented
56#1444C2214yescomplemented
57#1441C2214yescomplemented
58#1439C2218yescomplemented
59#1439C2218yescomplemented
60#1439C2218yescomplemented
61#1438C2218yescomplemented
62#1438C2214yescomplemented
63#1438C2214yescomplemented
64C22⋊#95C2214yes—
65C22⋊#95C2212yes—
66C22⋊#95C2212yescomplemented
67C22⋊#95C2212yescomplemented
68C26C2312yes—
69C26C2311yescharacteristic
70C23×D4—28no—
71C23×D4—28no—
72C23×D4—216no—
73C23×D4—28no—
74C23×D4—28no—
75C23×D4—24no—
76C23×D4—44no—
77C23×D4—44no—
78C23×D4—48no—
79C23×D4C2314yes—
80C23×D4C2314yes—
81C23×D4C2312yes—
82C23×D4C2312yes—
83C24×C4—28no—
84C24×C4—44no—
85C24×C4—44no—
86C24×C4D418yes—
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2312yes—
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C24×C4C2311yescharacteristic
97C24×C4C2311yescharacteristic
98C2×#123—216no—
99C2×#123—216no—
100C2×#123—48no—
101C2×#121—2128no—
102C2×#121—28no—
103C2×#121—216no—
104C2×#121—28no—
105C2×#121—28no—
106C2×#121—28no—
107C2×#121—28no—
108C2×#121—28no—
109C2×#121—28no—
110C2×#121—216no—
111C2×#121D4116yes—
112C22×C4⋊C4—24no—
113C22×C4⋊C4—28no—
114C22×C4⋊C4—28no—
115C22×C4⋊C4—24no—
116C22×C4⋊C4—24no—
117C22×C4⋊C4—44no—
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2318yes—
123C22×C4⋊C4C2312yes—
124C22×C4⋊C4C2314yes—
125C22×C4⋊C4C2312yes—
126C22×C22⋊C4—24no—
127C22×C22⋊C4—24no—
128C22×C22⋊C4—28no—
129C22×C22⋊C4—216no—
130C22×C22⋊C4—24no—
131C22×C22⋊C4—44no—
132C22×C22⋊C4D418yescomplemented
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2318yes—
138C22×C22⋊C4C2314yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2318yes—
142C22×C22⋊C4C2314yes—
143C22×C22⋊C4C2318yes—
144C22×C22⋊C4C2312yes—
145C22×C22⋊C4C2318yes—
146#398—216no—
147#396—232no—
148#394—216no—
149#394—232no—
150#394—48no—
151#386—216no—
152#386—216no—
153#386—48no—
154#385—28no—
155#385—28no—
156#385—28no—
157#385—28no—
158#385—216no—
159#380—28no—
160#380—44no—
161#380—44no—
162#379—28no—
163#379—216no—
164#379—48no—
165C2×#95—24no—
166C2×#95—24no—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2318yes—
170C2×#95C2318yes—
171C2×#95C2312yes—
172C2×#95C2312yes—
173C2×#95C2312yes—
174C2×#95C2312yes—
175C2×#95C2318yes—
176C2×#95C2314yes—
177C25—24no—
178C25—24no—
179C25—24no—
180C25—24no—
181C25—28no—
182C25—24no—
183C25—24no—
184C25—24no—
185C25—28no—
186C25—28no—
187C25—42no—
188C25—42no—
189C25—44no—
190C25—44no—
191C25—44no—
192C25C2×D414yes—
193C25C2×D414yes—
194C25#4114yes—
195C25C2414yes—
196C25C2411yescharacteristic
197C25C2411yescharacteristic
198C25C2411yescharacteristic
199C22×D4—232no—
200C22×D4—264no—
201C22×D4—28no—
202C22×D4—28no—
203C22×D4—28no—
204C22×D4—28no—
205C22×D4—28no—
206C22×D4—28no—
207C22×D4—28no—
208C22×D4—28no—
209C22×D4—28no—
210C22×D4—28no—
211C22×D4—28no—
212C22×D4—28no—
213C22×D4—24no—
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—28no—
217C22×D4—44no—
218C22×D4—44no—
219C22×D4—44no—
220C22×D4—44no—
221C22×D4—44no—
222C22×D4—464no—
223C22×D4—416no—
224C22×D4—416no—
225C22×D4—464no—
226C22×D4—464no—
227C22×D4—432no—
228C22×D4—432no—
229C22×D4C2×D4116yes—
230C22×D4C2×D418yes—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—24no—
238C23×C4—24no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—24no—
242C23×C4—24no—
243C23×C4—232no—
244C23×C4—24no—
245C23×C4—28no—
246C23×C4—24no—
247C23×C4—24no—
248C23×C4—24no—
249C23×C4—24no—
250C23×C4—22no—
251C23×C4—22no—
252C23×C4—24no—
253C23×C4—24no—
254C23×C4—24no—
255C23×C4—24no—
256C23×C4—416no—
257C23×C4—42no—
258C23×C4—416no—
259C23×C4—42no—
260C23×C4—42no—
261C23×C4—42no—
262C23×C4—42no—
263C23×C4—42no—
264C23×C4—42no—
265C23×C4—42no—
266C23×C4—42no—
267C23×C4—44no—
268C23×C4—42no—
269C23×C4—42no—
270C23×C4—42no—
271C23×C4—42no—
272C23×C4—464no—
273C23×C4C2×D414yes—
274C23×C4C2×D414yes—
275C23×C4C2×D414yes—
276C23×C4C2×D414yes—
277C23×C4C2×D414yes—
278C23×C4C2×D414yes—
279C23×C4C2×D418yes—
280C23×C4C2×D414yescomplemented
281C23×C4C2×D414yescomplemented
282C23×C4C2418yes—
283C23×C4C2412yes—
284C23×C4C2412yes—
285C23×C4C2412yes—
286C23×C4C2412yes—
287C23×C4C2411yescharacteristic
288C23×C4C2414yes—
289C23×C4C2411yescharacteristic
290C23×C4C2411yescharacteristic
291C23×C4C2411yescharacteristic
292#123—464no—
293#121—264no—
294#121—264no—
295#121—264no—
296#121—264no—
297C2×C4⋊C4—232no—
298C2×C4⋊C4—28no—
299C2×C4⋊C4—24no—
300C2×C4⋊C4—24no—
301C2×C4⋊C4—24no—
302C2×C4⋊C4—24no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—28no—
307C2×C4⋊C4—28no—
308C2×C4⋊C4—216no—
309C2×C4⋊C4—216no—
310C2×C4⋊C4—28no—
311C2×C4⋊C4—28no—
312C2×C4⋊C4—44no—
313C2×C4⋊C4—48no—
314C2×C4⋊C4—416no—
315C2×C4⋊C4—416no—
316C2×C4⋊C4—44no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4C2×D418yes—
319C2×C22⋊C4—264no—
320C2×C22⋊C4—232no—
321C2×C22⋊C4—28no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—28no—
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—216no—
335C2×C22⋊C4—28no—
336C2×C22⋊C4—28no—
337C2×C22⋊C4—28no—
338C2×C22⋊C4—28no—
339C2×C22⋊C4—28no—
340C2×C22⋊C4—216no—
341C2×C22⋊C4—28no—
342C2×C22⋊C4—216no—
343C2×C22⋊C4—216no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—48no—
346C2×C22⋊C4—416no—
347C2×C22⋊C4—48no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—48no—
350C2×C22⋊C4—48no—
351C2×C22⋊C4—48no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—48no—
354C2×C22⋊C4—48no—
355C2×C22⋊C4—48no—
356C2×C22⋊C4C2×D4116yes—
357C2×C22⋊C4C2×D418yes—
358C2×C22⋊C4C2×D418yescomplemented
359#95—24no—
360#95—24no—
361#95—24no—
362#95—24no—
363#95—28no—
364#95—216no—
365#95—216no—
366#95—28no—
367#95—44no—
368#95—48no—
369C24—22no—
370C24—22no—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—28no—
378C24—28no—
379C24—28no—
380C24—28no—
381C24—216no—
382C24—216no—
383C24—216no—
384C24—216no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—216no—
392C24—24no—
393C24—24no—
394C24—24no—
395C24—24no—
396C24—24no—
397C24—24no—
398C24—28no—
399C24—28no—
400C24—28no—
401C24—28no—
402C24—44no—
403C24—44no—
404C24—48no—
405C24—48no—
406C24—416no—
407C24—416no—
408C24—416no—
409C24—416no—
410C24—416no—
411C24—416no—
412C24—432no—
413C24—432no—
414C24—48no—
415C24—48no—
416C24—48no—
417C24—48no—
418C24—48no—
419C24—48no—
420C24—416no—
421C24—416no—
422C24—88no—
423C24—88no—
424C24—816no—
425C24—816no—
426C24#121116yes—
427C24C22×D418yes—
428C24C22×D412yes—
429C24C22×D412yes—
430C24C22×D412yes—
431C24C22×D414yes—
432C24C22×D412yes—
433C24C22×D412yes—
434C24C22×D412yes—
435C24C2×#4112yes—
436C24C2×#4112yes—
437C24C2×#4112yes—
438C24H(5,𝔽2)14yes—
439C24H(5,𝔽2)14yes—
440C242−1+414yes—
441C24C2511yescharacteristic
442C2×D4—216no—
443C2×D4—232no—
444C2×D4—232no—
445C2×D4—232no—
446C2×D4—232no—
447C2×D4—216no—
448C2×D4—416no—
449C2×D4—432no—
450C2×D4—416no—
451C2×D4—416no—
452C2×D4—4128no—
453C2×D4—48no—
454C2×D4—48no—
455C2×D4—48no—
456C2×D4—416no—
457C2×D4—416no—
458C2×D4—416no—
459C2×D4—4256no—
460C2×D4—416no—
461C2×D4—416no—
462C2×D4—416no—
463C2×D4—416no—
464C2×D4—416no—
465C2×D4—416no—
466C2×D4—48no—
467C22×C4—232no—
468C22×C4—28no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—28no—
476C22×C4—28no—
477C22×C4—216no—
478C22×C4—28no—
479C22×C4—28no—
480C22×C4—28no—
481C22×C4—28no—
482C22×C4—216no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—28no—
501C22×C4—28no—
502C22×C4—28no—
503C22×C4—28no—
504C22×C4—28no—
505C22×C4—22no—
506C22×C4—28no—
507C22×C4—24no—
508C22×C4—28no—
509C22×C4—22no—
510C22×C4—28no—
511C22×C4—24no—
512C22×C4—28no—
513C22×C4—28no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—28no—
518C22×C4—28no—
519C22×C4—24no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—416no—
528C22×C4—48no—
529C22×C4—416no—
530C22×C4—416no—
531C22×C4—416no—
532C22×C4—416no—
533C22×C4—416no—
534C22×C4—4128no—
535C22×C4—416no—
536C22×C4—44no—
537C22×C4—44no—
538C22×C4—48no—
539C22×C4—48no—
540C22×C4—44no—
541C22×C4—48no—
542C22×C4—44no—
543C22×C4—48no—
544C22×C4—44no—
545C22×C4—44no—
546C22×C4—44no—
547C22×C4—44no—
548C22×C4—44no—
549C22×C4—44no—
550C22×C4—88no—
551C22×C4—88no—
552C22×C4#120116yes—
553C22×C4C22×D414yes—
554C22×C4C22×D412yes—
555C22×C4C22×D418yes—
556C22×C4C22×D414yes—
557C22×C4C22×D412yes—
558C22×C4C22×D412yes—
559C22×C4C22×D414yes—
560C22×C4C22×D414yes—
561C22×C4C22×D412yes—
562C22×C4H(5,𝔽2)14yes—
563C4⋊C4—216no—
564C4⋊C4—216no—
565C4⋊C4—432no—
566C4⋊C4—48no—
567C4⋊C4—48no—
568C4⋊C4—48no—
569C4⋊C4—48no—
570C4⋊C4—88no—
571C22⋊C4—232no—
572C22⋊C4—216no—
573C22⋊C4—216no—
574C22⋊C4—232no—
575C22⋊C4—432no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—416no—
579C22⋊C4—416no—
580C22⋊C4—816no—
581C22⋊C4—816no—
582C22⋊C4—88no—
583C22⋊C4—816no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—24no—
591C23—22no—
592C23—22no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—28no—
597C23—28no—
598C23—28no—
599C23—28no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—28no—
605C23—28no—
606C23—28no—
607C23—28no—
608C23—232no—
609C23—22no—
610C23—232no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—24no—
616C23—22no—
617C23—24no—
618C23—24no—
619C23—24no—
620C23—24no—
621C23—24no—
622C23—28no—
623C23—28no—
624C23—28no—
625C23—216no—
626C23—216no—
627C23—416no—
628C23—416no—
629C23—464no—
630C23—464no—
631C23—416no—
632C23—416no—
633C23—416no—
634C23—432no—
635C23—432no—
636C23—432no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23—44no—
641C23—44no—
642C23—44no—
643C23—44no—
644C23—44no—
645C23—44no—
646C23—48no—
647C23—44no—
648C23—48no—
649C23—44no—
650C23—44no—
651C23—48no—
652C23—48no—
653C23—48no—
654C23—48no—
655C23—48no—
656C23—48no—
657C23—48no—
658C23—48no—
659C23—864no—
660C23—864no—
661C23—816no—
662C23—816no—
663C23—816no—
664C23—816no—
665C23C2×#12014yes—
666C23C2×#12114yes—
667C23C2×#12114yes—
668C23C2×#12114yes—
669C23#53414yes—
670C23#53514yes—
671C23#53614yes—
672C23#53718yes—
673C23#53918yes—
674C23D4218yes—
675C23#54618yes—
676C23C23×D411yescharacteristic
677C23C23×D412yes—
678C23C23×D411yescharacteristic
679C23C22×#4111yescharacteristic
680C23C2×H(5,𝔽2)12yes—
681C23C2×H(5,𝔽2)12yes—
682C23C2×H(5,𝔽2)12yes—
683C23C2×2−1+412yes—
684C23#58512yes—
685D4—432no—
686D4—432no—
687D4—464no—
688D4—464no—
689C2×C4—232no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—28no—
697C2×C4—28no—
698C2×C4—28no—
699C2×C4—22no—
700C2×C4—28no—
701C2×C4—24no—
702C2×C4—24no—
703C2×C4—22no—
704C2×C4—22no—
705C2×C4—28no—
706C2×C4—28no—
707C2×C4—28no—
708C2×C4—28no—
709C2×C4—416no—
710C2×C4—416no—
711C2×C4—416no—
712C2×C4—416no—
713C2×C4—416no—
714C2×C4—416no—
715C2×C4—432no—
716C2×C4—42no—
717C2×C4—416no—
718C2×C4—44no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—44no—
722C2×C4—42no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—42no—
731C2×C4—42no—
732C2×C4—42no—
733C2×C4—48no—
734C2×C4—42no—
735C2×C4—48no—
736C2×C4—48no—
737C2×C4—48no—
738C2×C4—48no—
739C2×C4—48no—
740C2×C4—48no—
741C2×C4—48no—
742C2×C4—48no—
743C2×C4—88no—
744C2×C4—88no—
745C2×C4C2×#12014yes—
746C2×C4C2×#12014yes—
747C2×C4#53414yes—
748C22—216no—
749C22—216no—
750C22—216no—
751C22—216no—
752C22—24no—
753C22—24no—
754C22—24no—
755C22—24no—
756C22—24no—
757C22—24no—
758C22—24no—
759C22—24no—
760C22—24no—
761C22—24no—
762C22—24no—
763C22—24no—
764C22—24no—
765C22—24no—
766C22—24no—
767C22—464no—
768C22—48no—
769C22—48no—
770C22—42no—
771C22—42no—
772C22—42no—
773C22—42no—
774C22—416no—
775C22—416no—
776C22—48no—
777C22—48no—
778C22—48no—
779C22—864no—
780C22—88no—
781C22—88no—
782C22—84no—
783C22—84no—
784C22—84no—
785C22—84no—
786C22#240818yes—
787C22#261818yescomplemented
788C22C22×#12011yescharacteristic
789C22C22×#12111yescharacteristic
790C22C2×#53411yescharacteristic
791C22C2×#53411yescharacteristic
792C22C2×#53511yescharacteristic
793C22C2×#53611yescharacteristic
794C22C2×#53712yes—
795C22#344911yescharacteristic
796C22C2×#53912yes—
797C22C2×D4212yes—
798C22C2×#54612yes—
799C22#348414yes—
800C22#348914yes—
801C22#349612yes—
802C22#350512yes—
803C22#353414yes—
804C22#353614yes—
805C4—24no—
806C4—24no—
807C4—24no—
808C4—44no—
809C4—48no—
810C4—42no—
811C4—44no—
812C4—88no—
813C4—82no—
814C4—82no—
815C2—28no—
816C2—28no—
817C2—44no—
818C2—88no—
819C2C2×#261811yescharacteristic
820C2C2×#240811yescharacteristic
821C2#3498011yescharacteristic
822C2#3500011yescharacteristic
823C2#3530511yescharacteristic
824C2#3744011yescharacteristic
825C2#3745111yescharacteristic
826C2#3767314yes—
827C2#3769214yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC23×#121C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×#2405C2semidirect
3. C2×#2618C2semidirect
4. C22×#385C2semidirect
5. #16501C2semidirect
6. #16261C2semidirect
7. #14926C2semidirect
8. #14786C2semidirect
9. #14726C2semidirect
10. #14724C2semidirect
11. #14719C2semidirect
12. #14680C2semidirect
13. #14271C2semidirect
14. #13867C2semidirect
18. C22×#123C22semidirect
26. C23×C4⋊C4C22semidirect
27. C23×C4⋊C4C22semidirect
33. C2×#398C22semidirect
34. C2×#396C22semidirect
35. C2×#394C22semidirect
36. C2×#394C22semidirect
37. C2×#394C22semidirect
38. C2×#386C22semidirect
39. C2×#386C22semidirect
40. C2×#386C22semidirect
45. C2×#385C22semidirect
46. C2×#385C22semidirect
48. C2×#380C22semidirect
49. C2×#380C22semidirect
53. C22×#95C22semidirect
54. C22×#95C22semidirect
55. #1445C22semidirect
56. #1444C22semidirect
57. #1441C22semidirect
58. #1439C22semidirect
59. #1439C22semidirect
60. #1439C22semidirect
61. #1438C22semidirect
62. #1438C22semidirect
63. #1438C22semidirect
66. C22⋊#95C22semidirect
67. C22⋊#95C22semidirect
132. C22×C22⋊C4D4semidirect
280. C23×C4C2×D4semidirect
281. C23×C4C2×D4semidirect
358. C2×C22⋊C4C2×D4semidirect
787. C22#2618semidirect

Maximal subgroups

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

subgroupindex
C23×#1212
C2×#24052
C2×#26182
C22×#3852
#165012
#162612
#149262
#147862
#147262
#147242
#147192
#146802
#142712
#138672