Finite Group Databasebeta

← #847899

Subgroups — #847899

Order 512.

4134 conjugacy classes of subgroups.

The subgroup lattice has 833 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2408C211yesmaximal, characteristic
2C2×C4×#123C211yesmaximal, characteristic, complemented
3#16648C214yesmaximal, complemented
4#15948C212yesmaximal, complemented
5#15561C212yesmaximal, complemented
6#15420C212yesmaximal, complemented
7#15266C212yesmaximal, complemented
8#15222C212yesmaximal, complemented
9#15183C212yesmaximal, complemented
10#15126C212yesmaximal, complemented
11#14698C212yesmaximal, complemented
12#14366C214yesmaximal, complemented
13#14022C212yesmaximal, complemented
14#13905C211yesmaximal, characteristic, complemented
15#13902C212yesmaximal, complemented
16C24×D4C2211yescharacteristic
17C22×#123C2211yescharacteristic
18C22×#121C2212yes—
19C22×#120C2212yes—
20C22×C4×D4C2211yescharacteristic
21C23×C42C2211yescharacteristic, complemented
22#2408—28no—
23C2×#394C2212yes—
24C2×#394C2214yescomplemented
25C2×#392C2212yes—
26C4×#123—28no—
27C2×#390C2212yes—
28C2×#390C2212yes—
29C2×#390C2212yes—
30C2×#390C2212yes—
31C2×#390C2212yes—
32C2×#389C2212yescomplemented
33C2×#388C2212yes—
34C2×#388C2214yescomplemented
35C2×#387C2212yescomplemented
36C2×#386C2211yescharacteristic
37C2×#386C2214yescomplemented
38C2×#386C2214yescomplemented
39C2×#385C2211yescharacteristic, complemented
40C2×#382C2211yescharacteristic, complemented
41C2×#381C2211yescharacteristic, complemented
42C2×#380C2211yescharacteristic
43C2×#380C2212yes—
44C2×#380C2212yescomplemented
45C2×#379C2212yes—
46C2×#379C2214yes—
47C2×#379C2214yes—
48C2×C4×C4⋊C4C2212yescomplemented
49C2×C4×C4⋊C4C2211yescharacteristic, complemented
50C2×C4×C22⋊C4C2212yes—
51C2×C4×C22⋊C4C2211yescharacteristic, complemented
52#1445C2212yescomplemented
53#1445C2214yescomplemented
54#1443C2214yescomplemented
55#1440C2214yes—
56#1440C2214yescomplemented
57#1440C2214yescomplemented
58#1439C2214yes—
59#1439C2214yescomplemented
60#1439C2214yescomplemented
61#1439C2214yescomplemented
62#1439C2214yescomplemented
63#1439C2214yescomplemented
64#1439C2214yescomplemented
65#1438C2214yes—
66#1438C2214yes—
67#1438C2212yes—
68#1438C2214yescomplemented
69#1437C2212yes—
70#1437C2214yescomplemented
71#1437C2214yescomplemented
72#1437C2214yescomplemented
73#1437C2212yescomplemented
74C4⋊#95C2212yescomplemented
75C4⋊#95C2212yescomplemented
76C4⋊#95C2212yescomplemented
77C26C2312yes—
78C23×D4—28no—
79C23×D4—24no—
80C23×D4—42no—
81C23×D4—42no—
82C23×D4—44no—
83C23×D4C2312yes—
84C23×D4C2314yes—
85C23×D4C2311yescharacteristic
86C23×D4C2312yes—
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C2×#123—24no—
92C2×#123—28no—
93C2×#121—28no—
94C2×#121—28no—
95C2×#121—44no—
96C2×#120—28no—
97C2×#120—48no—
98C2×C4×D4—42no—
99C2×C4×D4—42no—
100C2×C4×D4D418yes—
101C22×C4⋊C4C2312yes—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2314yes—
107C22×C4⋊C4C2311yescharacteristic
108C22×C22⋊C4C2311yescharacteristic
109C22×C22⋊C4C2311yescharacteristic
110C22×C22⋊C4C2314yes—
111C22×C22⋊C4C2314yes—
112C22×C22⋊C4C2312yes—
113C22×C22⋊C4C2312yes—
114C22×C22⋊C4C2314yes—
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2314yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2311yescharacteristic
127C22×C22⋊C4C2311yescharacteristic
128C22×C42—24no—
129C22×C42—42no—
130C22×C42—42no—
131C22×C42C2312yes—
132C22×C42C2312yes—
133C22×C42C2311yescharacteristic
134C22×C42C2312yes—
135C22×C42C2312yes—
136#394—28no—
137#394—48no—
138#392—28no—
139#390—28no—
140#390—28no—
141#390—44no—
142#390—44no—
143#390—44no—
144#389—44no—
145#388—28no—
146#388—48no—
147#387—28no—
148#386—24no—
149#386—48no—
150#386—48no—
151#385—24no—
152#382—42no—
153#381—24no—
154#380—24no—
155#380—44no—
156#380—44no—
157#379—28no—
158#379—216no—
159#379—48no—
160C4×C4⋊C4—28no—
161C4×C4⋊C4—42no—
162C4×C22⋊C4—28no—
163C4×C22⋊C4—24no—
164C2×#95C2312yes—
165C2×#95C2314yes—
166C2×#95C2312yes—
167C2×#95C2312yes—
168C2×#95C2312yes—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2312yes—
178C2×#95C2314yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2314yes—
182C25—24no—
183C25—28no—
184C25—28no—
185C25—44no—
186C25—42no—
187C25—42no—
188C25—44no—
189C25—44no—
190C25—44no—
191C25C2414yes—
192C25C2411yescharacteristic
193C25C2411yescharacteristic
194C22×D4—24no—
195C22×D4—24no—
196C22×D4—28no—
197C22×D4—28no—
198C22×D4—28no—
199C22×D4—28no—
200C22×D4—28no—
201C22×D4—24no—
202C22×D4—24no—
203C22×D4—24no—
204C22×D4—24no—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—432no—
209C22×D4—41no—
210C22×D4—41no—
211C22×D4—44no—
212C22×D4—42no—
213C22×D4—42no—
214C22×D4—416no—
215C22×D4—44no—
216C22×D4—44no—
217C22×D4—44no—
218C22×D4—416no—
219C22×D4—432no—
220C22×D4—416no—
221C22×D4C2×D414yes—
222C22×D4#4118yes—
223C23×C4—22no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—22no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—42no—
237C23×C4—41no—
238C23×C4—41no—
239C23×C4—41no—
240C23×C4—41no—
241C23×C4C2×D414yes—
242C23×C4C2×D414yes—
243C23×C4C2414yes—
244C23×C4C2412yes—
245C23×C4C2414yes—
246C23×C4C2414yes—
247C23×C4C2411yescharacteristic
248C23×C4C2411yescharacteristic
249C23×C4C2411yescharacteristic
250C23×C4C2411yescharacteristic
251C23×C4C2412yes—
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2411yescharacteristic
255#123—232no—
256#121—432no—
257#120—432no—
258C4×D4—416no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—42no—
274C2×C4⋊C4—41no—
275C2×C4⋊C4—41no—
276C2×C4⋊C4—44no—
277C2×C4⋊C4—44no—
278C2×C4⋊C4—44no—
279C2×C4⋊C4C2×D414yes—
280C2×C22⋊C4—22no—
281C2×C22⋊C4—24no—
282C2×C22⋊C4—24no—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—22no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—28no—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—28no—
291C2×C22⋊C4—28no—
292C2×C22⋊C4—28no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—28no—
296C2×C22⋊C4—28no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—28no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—42no—
304C2×C22⋊C4—41no—
305C2×C22⋊C4—41no—
306C2×C22⋊C4—41no—
307C2×C22⋊C4—41no—
308C2×C22⋊C4—44no—
309C2×C22⋊C4—44no—
310C2×C22⋊C4—44no—
311C2×C22⋊C4—44no—
312C2×C22⋊C4—44no—
313C2×C22⋊C4—44no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
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×D414yes—
335C2×C22⋊C4C2×D414yes—
336C2×C22⋊C4#4118yes—
337C2×C42—22no—
338C2×C42—22no—
339C2×C42—24no—
340C2×C42—24no—
341C2×C42—24no—
342C2×C42—24no—
343C2×C42—24no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—42no—
347C2×C42—42no—
348C2×C42—416no—
349C2×C42—42no—
350C2×C42—44no—
351C2×C42C2×D414yes—
352#95—24no—
353#95—24no—
354#95—24no—
355#95—24no—
356#95—24no—
357#95—24no—
358#95—28no—
359#95—42no—
360#95—44no—
361#95—44no—
362#95—42no—
363#95—42no—
364#95—44no—
365#95—44no—
366#95—44no—
367#95—44no—
368#95—44no—
369#95—44no—
370C24—22no—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—21no—
379C24—21no—
380C24—21no—
381C24—21no—
382C24—22no—
383C24—22no—
384C24—24no—
385C24—24no—
386C24—24no—
387C24—24no—
388C24—24no—
389C24—24no—
390C24—24no—
391C24—24no—
392C24—24no—
393C24—24no—
394C24—24no—
395C24—24no—
396C24—24no—
397C24—24no—
398C24—416no—
399C24—48no—
400C24—416no—
401C24—416no—
402C24—48no—
403C24—416no—
404C24—48no—
405C24—48no—
406C24—48no—
407C24—88no—
408C24—88no—
409C24—88no—
410C24—88no—
411C24—88no—
412C24—88no—
413C24—88no—
414C24—84no—
415C24—84no—
416C24—88no—
417C24—88no—
418C24—88no—
419C24C22×D412yes—
420C24C22×D412yes—
421C24C2×#4118yes—
422C24C2×#4114yes—
423C24H(5,𝔽2)14yes—
424C24C2511yescharacteristic
425C2×D4—28no—
426C2×D4—28no—
427C2×D4—216no—
428C2×D4—216no—
429C2×D4—216no—
430C2×D4—44no—
431C2×D4—416no—
432C2×D4—48no—
433C2×D4—48no—
434C2×D4—48no—
435C2×D4—48no—
436C2×D4—416no—
437C2×D4—48no—
438C2×D4—4128no—
439C2×D4—416no—
440C2×D4—416no—
441C2×D4—416no—
442C2×D4—416no—
443C2×D4—48no—
444C2×D4—48no—
445C2×D4—48no—
446C2×D4—48no—
447C2×D4—88no—
448C2×D4—88no—
449C2×D4—88no—
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—21no—
461C22×C4—22no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—28no—
486C22×C4—28no—
487C22×C4—216no—
488C22×C4—216no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—24no—
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—24no—
510C22×C4—24no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—24no—
515C22×C4—22no—
516C22×C4—24no—
517C22×C4—44no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4—48no—
521C22×C4—48no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D412yes—
535C22×C4C22×D412yes—
536C22×C4C22×D412yes—
537C22×C4C2×#4114yes—
538C22×C4C2×#4114yes—
539C22×C4C2×#4114yes—
540C22×C4H(5,𝔽2)14yes—
541C22×C4H(5,𝔽2)12yes—
542C22×C4H(5,𝔽2)12yes—
543C22×C4H(5,𝔽2)14yes—
544C4⋊C4—216no—
545C4⋊C4—44no—
546C4⋊C4—48no—
547C4⋊C4—48no—
548C4⋊C4—48no—
549C4⋊C4—48no—
550C4⋊C4—88no—
551C22⋊C4—28no—
552C22⋊C4—216no—
553C22⋊C4—44no—
554C22⋊C4—44no—
555C22⋊C4—416no—
556C22⋊C4—48no—
557C22⋊C4—416no—
558C22⋊C4—416no—
559C22⋊C4—48no—
560C22⋊C4—44no—
561C22⋊C4—88no—
562C22⋊C4—88no—
563C22⋊C4—88no—
564C22⋊C4—88no—
565C22⋊C4—88no—
566C22⋊C4—88no—
567C22⋊C4—88no—
568C22⋊C4—88no—
569C22⋊C4—88no—
570C22⋊C4—88no—
571C42—28no—
572C42—48no—
573C42—48no—
574C42—48no—
575C42—84no—
576C23—22no—
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—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—28no—
597C23—28no—
598C23—28no—
599C23—28no—
600C23—28no—
601C23—28no—
602C23—28no—
603C23—42no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—432no—
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—44no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23—44no—
641C23—44no—
642C23—44no—
643C23—44no—
644C23—44no—
645C23—44no—
646C23—44no—
647C23—44no—
648C23—44no—
649C23—44no—
650C23—44no—
651C23—44no—
652C23—832no—
653C23—816no—
654C23—832no—
655C23—832no—
656C23—832no—
657C23—832no—
658C23—832no—
659C23—816no—
660C23#52514yes—
661C23#53514yes—
662C23C23×D411yescharacteristic
663C23C22×#4112yes—
664C23C22×#4112yes—
665C23C2×H(5,𝔽2)11yescharacteristic
666C23C2×H(5,𝔽2)11yescharacteristic
667C23C2×H(5,𝔽2)12yes—
668C23C2×H(5,𝔽2)12yes—
669C23C2×H(5,𝔽2)12yes—
670C23#58512yes—
671D4—416no—
672D4—432no—
673D4—432no—
674D4—832no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
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—416no—
694C2×C4—416no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—41no—
702C2×C4—41no—
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—41no—
712C2×C4—41no—
713C2×C4—41no—
714C2×C4—41no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—416no—
719C2×C4—416no—
720C2×C4—44no—
721C2×C4—42no—
722C2×C4—44no—
723C2×C4—42no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—42no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—42no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—42no—
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—42no—
743C2×C4—44no—
744C2×C4—44no—
745C2×C4—42no—
746C2×C4—44no—
747C2×C4—44no—
748C2×C4#53414yes—
749C2×C4#53818yes—
750C2×C4#54618yes—
751C2×C4#55114yes—
752C2×C4#56014yes—
753C22—24no—
754C22—24no—
755C22—28no—
756C22—28no—
757C22—44no—
758C22—44no—
759C22—44no—
760C22—44no—
761C22—44no—
762C22—44no—
763C22—44no—
764C22—44no—
765C22—42no—
766C22—42no—
767C22—42no—
768C22—42no—
769C22—44no—
770C22—44no—
771C22—48no—
772C22—48no—
773C22—48no—
774C22—48no—
775C22—48no—
776C22—48no—
777C22—48no—
778C22—864no—
779C22—84no—
780C22—84no—
781C22—84no—
782C22—84no—
783C22—84no—
784C22—84no—
785C22—84no—
786C22—84no—
787C22C2×#52511yescharacteristic
788C22C2×#53411yescharacteristic
789C22C2×#53511yescharacteristic
790C22C2×#53812yes—
791C22C2×#54612yes—
792C22C2×#55111yescharacteristic
793C22#347512yes—
794C22#348112yes—
795C22#348812yes—
796C22#350812yes—
797C22#351312yes—
798C22#351412yes—
799C22#351912yes—
800C22#351912yes—
801C22#351912yes—
802C22C2×#56011yescharacteristic
803C22#353711yescharacteristic
804C22#354011yescharacteristic
805C22#354212yes—
806C22#354312yes—
807C22#355812yes—
808C4—44no—
809C4—42no—
810C4—44no—
811C4—42no—
812C4—44no—
813C4—42no—
814C4—42no—
815C4—84no—
816C4—84no—
817C4—82no—
818C4—84no—
819C4#269718yes—
820C2—44no—
821C2—44no—
822C2—88no—
823C2#3507611yescharacteristic
824C2#3636012yes—
825C2#3726911yescharacteristic
826C2#3802612yes—
827C2#3902012yes—
828C2#4005312yes—
829C2#4564712yes—
830C2C2×#269711yescharacteristic
831C2#5938212yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2408C2
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×C4×#123C2semidirect
3. #16648C2semidirect
4. #15948C2semidirect
5. #15561C2semidirect
6. #15420C2semidirect
7. #15266C2semidirect
8. #15222C2semidirect
9. #15183C2semidirect
10. #15126C2semidirect
11. #14698C2semidirect
12. #14366C2semidirect
13. #14022C2semidirect
14. #13905C2semidirect
15. #13902C2semidirect
21. C23×C42C22semidirect
24. C2×#394C22semidirect
32. C2×#389C22semidirect
34. C2×#388C22semidirect
35. C2×#387C22semidirect
37. C2×#386C22semidirect
38. C2×#386C22semidirect
39. C2×#385C22semidirect
40. C2×#382C22semidirect
41. C2×#381C22semidirect
44. C2×#380C22semidirect
48. C2×C4×C4⋊C4C22semidirect
49. C2×C4×C4⋊C4C22semidirect
51. C2×C4×C22⋊C4C22semidirect
52. #1445C22semidirect
53. #1445C22semidirect
54. #1443C22semidirect
56. #1440C22semidirect
57. #1440C22semidirect
59. #1439C22semidirect
60. #1439C22semidirect
61. #1439C22semidirect
62. #1439C22semidirect
63. #1439C22semidirect
64. #1439C22semidirect
68. #1438C22semidirect
70. #1437C22semidirect
71. #1437C22semidirect
72. #1437C22semidirect
73. #1437C22semidirect
74. C4⋊#95C22semidirect
75. C4⋊#95C22semidirect
76. C4⋊#95C22semidirect

Maximal subgroups

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

subgroupindex
C2×#24082
C2×C4×#1232
#166482
#159482
#155612
#154202
#152662
#152222
#151832
#151262
#146982
#143662
#140222
#139052
#139022