Finite Group Databasebeta

← #656749

Subgroups — #656749

Order 512.

4240 conjugacy classes of subgroups.

The subgroup lattice has 830 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2847C211yesmaximal, characteristic
2C2×#2500C211yesmaximal, characteristic, complemented
3C2×#2347C211yesmaximal, characteristic, complemented
4C2×#2280C211yesmaximal, characteristic, complemented
5#15914C214yesmaximal, complemented
6#15281C214yesmaximal, complemented
7#15220C212yesmaximal, complemented
8#15126C212yesmaximal, complemented
9#14924C214yesmaximal, complemented
10#14201C214yesmaximal, complemented
11#14136C211yesmaximal, characteristic, complemented
12#14129C211yesmaximal, characteristic, complemented
13#13998C212yesmaximal, complemented
14#13876C212yesmaximal, complemented
15C4×#379C211yesmaximal, characteristic, complemented
16C25×C4C2211yescharacteristic
17C22×#121C2211yescharacteristic
18C22×#121C2212yes—
19C22×#120C2212yes—
20C22×#117C2211yescharacteristic
21C22×#117C2211yescharacteristic
22#2847—28no—
23#2500—28no—
24C2×#394C2214yes—
25C2×#394C2214yes—
26#2347—28no—
27C2×#390C2214yes—
28C2×#390C2211yescharacteristic, complemented
29C2×#390C2211yescharacteristic, complemented
30C2×#390C2212yescomplemented
31C2×#389C2212yescomplemented
32C2×#389C2212yescomplemented
33C2×#388C2214yes—
34C2×#388C2214yes—
35C2×#388C2214yescomplemented
36C2×#386C2212yes—
37C2×#386C2214yes—
38C2×#384C2211yescharacteristic, complemented
39C2×#383C2212yescomplemented
40C2×#382C2211yescharacteristic, complemented
41#2280—28no—
42C2×#381C2212yes—
43C2×#380C2212yes—
44C2×#380C2212yes—
45C2×#380C2212yes—
46C2×#380C2211yescharacteristic
47C2×#379C2212yes—
48C2×#379C2212yes—
49C2×C4×C4⋊C4C2212yescomplemented
50C2×C4×C4⋊C4C2212yescomplemented
51C2×C4×C22⋊C4C2212yes—
52C2×C4×C22⋊C4C2211yescharacteristic
53C2×C4×C22⋊C4C2211yescharacteristic
54C2×C4×C22⋊C4C2214yes—
55C2×C4×C22⋊C4C2212yes—
56#1443C2214yescomplemented
57#1442C2214yescomplemented
58#1441C2214yescomplemented
59#1440C2214yescomplemented
60#1439C2214yes—
61#1439C2214yes—
62#1439C2214yes—
63#1439C2214yes—
64#1439C2214yescomplemented
65#1439C2214yescomplemented
66#1438C2214yes—
67#1438C2214yes—
68#1438C2214yes—
69#1437C2214yescomplemented
70#1437C2212yescomplemented
71#1437C2212yescomplemented
72#1436C2214yescomplemented
73#1436C2214yescomplemented
74C4⋊#95C2212yescomplemented
75C4⋊#95C2212yescomplemented
76C22⋊#95C2212yes—
77C22⋊#95C2212yes—
78C22⋊#95C2212yes—
79C26C2311yescharacteristic
80C23×D4C2311yescharacteristic
81C23×D4C2314yes—
82C23×D4C2312yes—
83C24×C4—24no—
84C24×C4—28no—
85C24×C4—24no—
86C24×C4—24no—
87C24×C4—44no—
88C24×C4C2312yes—
89C24×C4C2312yes—
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C2×#121—24no—
93C2×#121—24no—
94C2×#121—28no—
95C2×#121—24no—
96C2×#121—28no—
97C2×#121—44no—
98C2×#120—28no—
99C2×#120—48no—
100C2×#117—24no—
101C2×#117—24no—
102C2×#117—24no—
103C2×#117—44no—
104C2×#117D418yescomplemented
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2314yes—
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2314yes—
112C22×C4⋊C4C2314yes—
113C22×C22⋊C4C2312yes—
114C22×C22⋊C4C2312yes—
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2312yes—
131C22×C42C2311yescharacteristic
132C22×C42C2312yes—
133C22×C42C2311yescharacteristic
134C22×C42C2312yes—
135C22×C42C2312yes—
136C22×C42C2314yes—
137#394—216no—
138#394—216no—
139#390—24no—
140#390—24no—
141#390—44no—
142#390—48no—
143#389—28no—
144#389—44no—
145#388—216no—
146#388—216no—
147#388—48no—
148#386—28no—
149#386—216no—
150#384—24no—
151#383—28no—
152#382—24no—
153#381—28no—
154#380—28no—
155#380—28no—
156#380—28no—
157#380D418yes—
158#379—28no—
159#379—28no—
160C4×C4⋊C4—28no—
161C4×C4⋊C4—28no—
162C4×C22⋊C4—24no—
163C4×C22⋊C4—24no—
164C4×C22⋊C4—28no—
165C4×C22⋊C4—216no—
166C4×C22⋊C4—44no—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C2×#95C2311yescharacteristic
172C2×#95C2311yescharacteristic
173C2×#95C2312yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2312yes—
186C25—22no—
187C25—22no—
188C25—24no—
189C25—22no—
190C25—24no—
191C25—24no—
192C25—42no—
193C25—42no—
194C25—42no—
195C25C2412yes—
196C25C2411yescharacteristic
197C25C2412yes—
198C22×D4—24no—
199C22×D4—28no—
200C22×D4—28no—
201C22×D4—28no—
202C22×D4—24no—
203C22×D4—24no—
204C22×D4—28no—
205C22×D4—22no—
206C22×D4—22no—
207C22×D4—22no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—44no—
211C22×D4—44no—
212C22×D4—44no—
213C22×D4—44no—
214C22×D4—44no—
215C23×C4—24no—
216C23×C4—24no—
217C23×C4—232no—
218C23×C4—22no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—42no—
234C23×C4—42no—
235C23×C4—42no—
236C23×C4—432no—
237C23×C4—432no—
238C23×C4—416no—
239C23×C4—416no—
240C23×C4C2×D414yes—
241C23×C4C2×D414yes—
242C23×C4#4118yes—
243C23×C4#4114yes—
244C23×C4C2412yes—
245C23×C4C2414yes—
246C23×C4C2412yes—
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2412yes—
250C23×C4C2414yes—
251C23×C4C2412yes—
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2411yescharacteristic
255C23×C4C2411yescharacteristic
256#121—432no—
257#121—416no—
258#120—432no—
259#117—232no—
260#117—416no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—28no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—28no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—28no—
276C2×C4⋊C4—44no—
277C2×C4⋊C4—44no—
278C2×C4⋊C4—44no—
279C2×C4⋊C4—44no—
280C2×C4⋊C4—44no—
281C2×C4⋊C4—44no—
282C2×C4⋊C4C2×D414yes—
283C2×C4⋊C4C2×D414yes—
284C2×C4⋊C4C2×D418yes—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—24no—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—28no—
296C2×C22⋊C4—28no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—28no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—28no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—42no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—42no—
319C2×C22⋊C4—42no—
320C2×C22⋊C4—42no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—42no—
326C2×C22⋊C4—42no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4C2×D418yes—
335C2×C22⋊C4C2×D418yes—
336C2×C22⋊C4#4118yes—
337C2×C42—24no—
338C2×C42—24no—
339C2×C42—24no—
340C2×C42—24no—
341C2×C42—22no—
342C2×C42—22no—
343C2×C42—24no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—24no—
347C2×C42—28no—
348C2×C42—44no—
349C2×C42—44no—
350C2×C42—44no—
351C2×C42C2×D418yes—
352#95—22no—
353#95—28no—
354#95—28no—
355#95—22no—
356#95—24no—
357#95—28no—
358#95—28no—
359#95—28no—
360#95—28no—
361#95—24no—
362#95—24no—
363#95—28no—
364#95—44no—
365#95—42no—
366#95—42no—
367#95—44no—
368#95—44no—
369#95—44no—
370#95C2×D418yes—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—28no—
390C24—28no—
391C24—28no—
392C24—22no—
393C24—22no—
394C24—24no—
395C24—22no—
396C24—24no—
397C24—24no—
398C24—24no—
399C24—24no—
400C24—24no—
401C24—48no—
402C24—48no—
403C24—48no—
404C24—48no—
405C24—48no—
406C24—48no—
407C24—48no—
408C24—48no—
409C24—48no—
410C24—44no—
411C24—44no—
412C24—44no—
413C24—48no—
414C24—48no—
415C24—48no—
416C24—48no—
417C24—44no—
418C24—48no—
419C24C22×D412yes—
420C24C22×D412yes—
421C24C2×#4112yes—
422C24C2×#4114yes—
423C24C2×#4114yes—
424C24H(5,𝔽2)14yes—
425C24C2511yescharacteristic
426C2×D4—416no—
427C2×D4—416no—
428C2×D4—416no—
429C2×D4—48no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—416no—
433C2×D4—44no—
434C2×D4—44no—
435C2×D4—44no—
436C2×D4—48no—
437C2×D4—48no—
438C2×D4—88no—
439C2×D4—88no—
440C2×D4—88no—
441C2×D4—88no—
442C2×D4—88no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—28no—
446C22×C4—28no—
447C22×C4—216no—
448C22×C4—216no—
449C22×C4—216no—
450C22×C4—28no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—216no—
484C22×C4—216no—
485C22×C4—216no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—24no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—24no—
511C22×C4—22no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4—4128no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—48no—
523C22×C4—48no—
524C22×C4—48no—
525C22×C4—48no—
526C22×C4—48no—
527C22×C4#121116yes—
528C22×C4C22×D414yes—
529C22×C4C22×D418yes—
530C22×C4C22×D414yes—
531C22×C4C22×D412yes—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D412yes—
535C22×C4C2×#4114yes—
536C22×C4C2×#4114yes—
537C22×C4C2×#4114yes—
538C22×C4C2×#4112yes—
539C22×C4C2×#4112yes—
540C22×C4C2×#4114yes—
541C22×C4H(5,𝔽2)14yes—
542C4⋊C4—28no—
543C4⋊C4—28no—
544C4⋊C4—216no—
545C4⋊C4—416no—
546C4⋊C4—44no—
547C4⋊C4—48no—
548C4⋊C4—88no—
549C4⋊C4—88no—
550C22⋊C4—216no—
551C22⋊C4—216no—
552C22⋊C4—48no—
553C22⋊C4—416no—
554C22⋊C4—416no—
555C22⋊C4—48no—
556C22⋊C4—416no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—416no—
560C22⋊C4—48no—
561C22⋊C4—416no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—88no—
566C22⋊C4—88no—
567C22⋊C4—88no—
568C42—216no—
569C42—48no—
570C42—44no—
571C42—44no—
572C42—48no—
573C42—88no—
574C23—22no—
575C23—24no—
576C23—24no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—22no—
591C23—24no—
592C23—22no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—416no—
605C23—432no—
606C23—432no—
607C23—432no—
608C23—416no—
609C23—416no—
610C23—432no—
611C23—432no—
612C23—432no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—44no—
643C23—44no—
644C23—44no—
645C23—44no—
646C23—44no—
647C23—44no—
648C23—42no—
649C23—42no—
650C23—44no—
651C23—44no—
652C23—44no—
653C23—44no—
654C23—44no—
655C23—44no—
656C23—44no—
657C23—44no—
658C23C2×#12114yes—
659C23#55318yes—
660C23C23×D411yescharacteristic
661C23C23×D411yescharacteristic
662C23C22×#4111yescharacteristic
663C23C22×#4112yes—
664C23C22×#4112yes—
665C23C2×H(5,𝔽2)12yes—
666C23C2×H(5,𝔽2)12yes—
667C23#58512yes—
668C23#58512yes—
669D4—832no—
670D4—816no—
671D4—88no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—232no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—28no—
682C2×C4—24no—
683C2×C4—28no—
684C2×C4—24no—
685C2×C4—28no—
686C2×C4—24no—
687C2×C4—24no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—28no—
691C2×C4—28no—
692C2×C4—24no—
693C2×C4—432no—
694C2×C4—416no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—44no—
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—42no—
717C2×C4—432no—
718C2×C4—42no—
719C2×C4—44no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—44no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—44no—
730C2×C4—42no—
731C2×C4—44no—
732C2×C4—42no—
733C2×C4—44no—
734C2×C4—42no—
735C2×C4—42no—
736C2×C4—44no—
737C2×C4—42no—
738C2×C4—44no—
739C2×C4—42no—
740C2×C4—44no—
741C2×C4—42no—
742C2×C4—42no—
743C2×C4—44no—
744C2×C4C2×#12114yes—
745C2×C4C2×#12114yes—
746C2×C4#52514yes—
747C2×C4#53514yes—
748C2×C4#54618yes—
749C2×C4#55118yes—
750C22—28no—
751C22—28no—
752C22—28no—
753C22—24no—
754C22—24no—
755C22—24no—
756C22—464no—
757C22—44no—
758C22—44no—
759C22—44no—
760C22—44no—
761C22—44no—
762C22—44no—
763C22—44no—
764C22—44no—
765C22—44no—
766C22—44no—
767C22—44no—
768C22—44no—
769C22—44no—
770C22—44no—
771C22—44no—
772C22—44no—
773C22—44no—
774C22—44no—
775C22—84no—
776C22—84no—
777C22—84no—
778C22—84no—
779C22—82no—
780C22—82no—
781C22—84no—
782C22—84no—
783C22—82no—
784C22C22×#12111yescharacteristic
785C22C2×#52511yescharacteristic
786C22#344411yescharacteristic
787C22C2×#53511yescharacteristic
788C22#345511yescharacteristic
789C22C2×#54612yes—
790C22D4×#4112yes—
791C22D4×#4112yes—
792C22C2×#55112yes—
793C22C2×#55312yes—
794C22#347512yes—
795C22#348411yescharacteristic
796C22#348711yescharacteristic
797C22#348812yes—
798C22#349312yes—
799C22#349412yes—
800C22#349412yes—
801C22#350612yes—
802C22#351912yes—
803C22#354012yes—
804C22#354212yes—
805C4—24no—
806C4—44no—
807C4—44no—
808C4—48no—
809C4—44no—
810C4—44no—
811C4—44no—
812C4—82no—
813C4—84no—
814C4—82no—
815C4—82no—
816C4#241118yes—
817C2—48no—
818C2—44no—
819C2—162no—
820C2C2×#241111yescharacteristic
821C2#3474311yescharacteristic
822C2#3556311yescharacteristic
823C2#3620812yes—
824C2#3643812yes—
825C2#3785812yes—
826C2#3988612yes—
827C2#5901712yes—
828C2#5902812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2847C2
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×#2500C2semidirect
3. C2×#2347C2semidirect
4. C2×#2280C2semidirect
5. #15914C2semidirect
6. #15281C2semidirect
7. #15220C2semidirect
8. #15126C2semidirect
9. #14924C2semidirect
10. #14201C2semidirect
11. #14136C2semidirect
12. #14129C2semidirect
13. #13998C2semidirect
14. #13876C2semidirect
15. C4×#379C2semidirect
28. C2×#390C22semidirect
29. C2×#390C22semidirect
30. C2×#390C22semidirect
31. C2×#389C22semidirect
32. C2×#389C22semidirect
35. C2×#388C22semidirect
38. C2×#384C22semidirect
39. C2×#383C22semidirect
40. C2×#382C22semidirect
49. C2×C4×C4⋊C4C22semidirect
50. C2×C4×C4⋊C4C22semidirect
56. #1443C22semidirect
57. #1442C22semidirect
58. #1441C22semidirect
59. #1440C22semidirect
64. #1439C22semidirect
65. #1439C22semidirect
69. #1437C22semidirect
70. #1437C22semidirect
71. #1437C22semidirect
72. #1436C22semidirect
73. #1436C22semidirect
74. C4⋊#95C22semidirect
75. C4⋊#95C22semidirect
104. C2×#117D4semidirect

Maximal subgroups

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

subgroupindex
C2×#28472
C2×#25002
C2×#23472
C2×#22802
#159142
#152812
#152202
#151262
#149242
#142012
#141362
#141292
#139982
#138762
C4×#3792