Finite Group Databasebeta

← #919765

Subgroups — #919765

Order 512.

3948 conjugacy classes of subgroups.

The subgroup lattice has 807 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2405C211yesmaximal, characteristic
2C22×#399C211yesmaximal, characteristic, complemented
3#17123C214yesmaximal, complemented
4#16539C214yesmaximal, complemented
5#16473C212yesmaximal, complemented
6#16298C212yesmaximal, complemented
7#15730C212yesmaximal, complemented
8#15284C212yesmaximal, complemented
9#14912C212yesmaximal, complemented
10#14729C212yesmaximal, complemented
11#14727C212yesmaximal, complemented
12#14256C212yesmaximal, complemented
13#14019C212yesmaximal, complemented
14#13903C211yesmaximal, characteristic, complemented
15#13867C212yesmaximal
16C24×D4C2211yescharacteristic
17C22×#123C2212yes—
18C23×C4⋊C4C2212yescomplemented
19C23×C4⋊C4C2211yescharacteristic, complemented
20C23×C22⋊C4C2212yes—
21C23×C22⋊C4C2211yescharacteristic
22#2405—28no—
23C2×#399—28no—
24C2×#399C2212yes—
25C2×#399C2212yes—
26C2×#399C2212yescomplemented
27C2×#399C2212yescomplemented
28C2×#397C2214yescomplemented
29C2×#396C2214yescomplemented
30C2×#394C2212yes—
31C2×#394C2212yes—
32C2×#388C2214yescomplemented
33C2×#386C2212yes—
34C2×#386C2212yes—
35C2×#386C2212yes—
36C2×#386C2212yes—
37C2×#386C2212yes—
38C2×#385C2211yescharacteristic
39C2×#385C2211yescharacteristic
40C2×#385C2212yescomplemented
41C2×#381C2212yescomplemented
42C2×#380C2211yescharacteristic, complemented
43C2×#379C2211yescharacteristic
44C2×#379C2211yescharacteristic
45C2×#379C2211yescharacteristic
46C2×#379C2212yes—
47C2×#379C2214yes—
48C2×C4×C22⋊C4C2211yescharacteristic, complemented
49C22×#95C2211yescharacteristic, complemented
50#1442C2214yescomplemented
51#1442C2214yescomplemented
52#1441C2214yescomplemented
53#1441C2214yescomplemented
54#1441C2214yescomplemented
55#1441C2214yescomplemented
56#1441C2214yescomplemented
57#1440C2214yes—
58#1440C2214yescomplemented
59#1440C2214yescomplemented
60#1439C2212yes—
61#1439C2214yes—
62#1439C2214yescomplemented
63#1439C2212yescomplemented
64#1439C2214yescomplemented
65#1439C2214yescomplemented
66#1439C2214yescomplemented
67#1439C2214yescomplemented
68#1438C2214yes—
69#1438C2214yes—
70#1437C2212yes—
71#1437C2212yescomplemented
72#1436C2214yescomplemented
73C22⋊#95C2214yes—
74C22⋊#95C2212yescomplemented
75C22⋊#95C2212yescomplemented
76C22⋊#95C2212yescomplemented
77C26C2311yescharacteristic
78C26C2311yescharacteristic
79C23×D4—24no—
80C23×D4—28no—
81C23×D4—44no—
82C23×D4—42no—
83C23×D4—42no—
84C23×D4C2312yes—
85C23×D4C2312yes—
86C24×C4C2311yescharacteristic
87C24×C4C2312yes—
88C24×C4C2311yescharacteristic
89C24×C4C2312yes—
90C24×C4C2311yescharacteristic
91C2×#123—28no—
92C2×#123—28no—
93C2×#123—44no—
94C22×C4⋊C4—28no—
95C22×C4⋊C4—24no—
96C22×C4⋊C4—48no—
97C22×C4⋊C4—42no—
98C22×C4⋊C4—42no—
99C22×C4⋊C4C2312yes—
100C22×C4⋊C4C2312yes—
101C22×C4⋊C4C2314yes—
102C22×C4⋊C4C2314yes—
103C22×C4⋊C4C2314yes—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2312yes—
107C22×C22⋊C4—28no—
108C22×C22⋊C4—48no—
109C22×C22⋊C4—42no—
110C22×C22⋊C4—42no—
111C22×C22⋊C4D418yes—
112C22×C22⋊C4C2312yes—
113C22×C22⋊C4C2312yes—
114C22×C22⋊C4C2312yes—
115C22×C22⋊C4C2311yescharacteristic
116C22×C22⋊C4C2312yes—
117C22×C22⋊C4C2312yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2314yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2311yescharacteristic
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2311yescharacteristic
131C22×C22⋊C4C2311yescharacteristic
132C22×C22⋊C4C2311yescharacteristic
133C22×C22⋊C4C2311yescharacteristic
134C22×C42C2312yes—
135#399—28no—
136#399—28no—
137#399—28no—
138#399—28no—
139#397—48no—
140#396—48no—
141#394—28no—
142#394—28no—
143#388—48no—
144#386—28no—
145#386—28no—
146#386—44no—
147#386—44no—
148#386—44no—
149#385—24no—
150#385—24no—
151#385—44no—
152#381—44no—
153#380—42no—
154#379—24no—
155#379—24no—
156#379—24no—
157#379—48no—
158#379—44no—
159C4×C22⋊C4—42no—
160C2×#95—24no—
161C2×#95C2312yes—
162C2×#95C2312yes—
163C2×#95C2314yes—
164C2×#95C2312yes—
165C2×#95C2312yes—
166C2×#95C2314yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2312yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2312yes—
179C2×#95C2314yes—
180C25—24no—
181C25—24no—
182C25—22no—
183C25—22no—
184C25—24no—
185C25—22no—
186C25—24no—
187C25—24no—
188C25—44no—
189C25—41no—
190C25—42no—
191C25—41no—
192C25—42no—
193C25—42no—
194C25—44no—
195C25C2×D414yes—
196C25C2411yescharacteristic
197C25C2412yes—
198C25C2411yescharacteristic
199C25C2411yescharacteristic
200C22×D4—24no—
201C22×D4—24no—
202C22×D4—24no—
203C22×D4—24no—
204C22×D4—24no—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—24no—
209C22×D4—42no—
210C22×D4—42no—
211C22×D4—42no—
212C22×D4—42no—
213C22×D4—416no—
214C22×D4—432no—
215C22×D4—432no—
216C22×D4—416no—
217C22×D4—416no—
218C22×D4#4118yes—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—24no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—28no—
227C23×C4—24no—
228C23×C4—22no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—44no—
235C23×C4—41no—
236C23×C4—41no—
237C23×C4—42no—
238C23×C4—44no—
239C23×C4—44no—
240C23×C4—44no—
241C23×C4C2×D414yes—
242C23×C4C2×D414yes—
243C23×C4C2412yes—
244C23×C4C2414yes—
245C23×C4C2412yes—
246C23×C4C2414yes—
247C23×C4C2414yes—
248C23×C4C2411yescharacteristic
249C23×C4C2411yescharacteristic
250C23×C4C2411yescharacteristic
251C23×C4C2411yescharacteristic
252C23×C4C2412yes—
253C23×C4C2414yes—
254#123—432no—
255C2×C4⋊C4—28no—
256C2×C4⋊C4—28no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—28no—
264C2×C4⋊C4—28no—
265C2×C4⋊C4—28no—
266C2×C4⋊C4—44no—
267C2×C4⋊C4—44no—
268C2×C4⋊C4—42no—
269C2×C4⋊C4—42no—
270C2×C4⋊C4—42no—
271C2×C4⋊C4—42no—
272C2×C4⋊C4—42no—
273C2×C4⋊C4—42no—
274C2×C4⋊C4—432no—
275C2×C4⋊C4—416no—
276C2×C4⋊C4—44no—
277C2×C4⋊C4—42no—
278C2×C4⋊C4—44no—
279C2×C4⋊C4—44no—
280C2×C22⋊C4—28no—
281C2×C22⋊C4—28no—
282C2×C22⋊C4—24no—
283C2×C22⋊C4—22no—
284C2×C22⋊C4—22no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—416no—
308C2×C22⋊C4—41no—
309C2×C22⋊C4—41no—
310C2×C22⋊C4—41no—
311C2×C22⋊C4—41no—
312C2×C22⋊C4—41no—
313C2×C22⋊C4—41no—
314C2×C22⋊C4—41no—
315C2×C22⋊C4—41no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—42no—
320C2×C22⋊C4—42no—
321C2×C22⋊C4—42no—
322C2×C22⋊C4—432no—
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⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4C2×D414yes—
340C2×C22⋊C4C2×D414yes—
341C2×C22⋊C4C2×D414yes—
342C2×C22⋊C4C2×D414yes—
343C2×C42—42no—
344C2×C42—44no—
345#95—24no—
346#95—24no—
347#95—24no—
348#95—24no—
349#95—28no—
350#95—28no—
351#95—44no—
352#95—42no—
353#95—42no—
354#95—44no—
355#95—44no—
356#95—44no—
357#95—44no—
358#95—44no—
359#95—44no—
360#95—44no—
361#95—44no—
362#95—44no—
363#95—44no—
364C24—24no—
365C24—22no—
366C24—22no—
367C24—22no—
368C24—24no—
369C24—21no—
370C24—21no—
371C24—22no—
372C24—22no—
373C24—28no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—24no—
378C24—24no—
379C24—24no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—21no—
385C24—21no—
386C24—22no—
387C24—22no—
388C24—24no—
389C24—22no—
390C24—24no—
391C24—28no—
392C24—216no—
393C24—48no—
394C24—44no—
395C24—48no—
396C24—44no—
397C24—416no—
398C24—48no—
399C24—48no—
400C24—416no—
401C24—416no—
402C24—44no—
403C24—48no—
404C24—44no—
405C24—44no—
406C24—48no—
407C24—44no—
408C24—44no—
409C24—44no—
410C24—88no—
411C24—88no—
412C24—84no—
413C24—84no—
414C24—84no—
415C24—84no—
416C24—84no—
417C24—88no—
418C24—88no—
419C24—88no—
420C24—84no—
421C24—84no—
422C24C22×D412yes—
423C24C22×D412yes—
424C24C22×D412yes—
425C24C2×#4114yes—
426C24C2×#4114yes—
427C24H(5,𝔽2)12yes—
428C24H(5,𝔽2)12yes—
429C24H(5,𝔽2)14yes—
430C242−1+414yes—
431C24C2511yescharacteristic
432C2×D4—216no—
433C2×D4—216no—
434C2×D4—216no—
435C2×D4—48no—
436C2×D4—48no—
437C2×D4—48no—
438C2×D4—48no—
439C2×D4—48no—
440C2×D4—48no—
441C2×D4—4128no—
442C2×D4—48no—
443C2×D4—48no—
444C2×D4—48no—
445C2×D4—48no—
446C2×D4—48no—
447C22×C4—216no—
448C22×C4—28no—
449C22×C4—216no—
450C22×C4—24no—
451C22×C4—22no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—24no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—28no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—44no—
509C22×C4—48no—
510C22×C4—416no—
511C22×C4—416no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—48no—
522C22×C4—48no—
523C22×C4—48no—
524C22×C4—84no—
525C22×C4—84no—
526C22×C4—88no—
527C22×C4—88no—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C2×#4114yes—
533C22×C4H(5,𝔽2)18yes—
534C4⋊C4—416no—
535C4⋊C4—416no—
536C4⋊C4—48no—
537C4⋊C4—48no—
538C4⋊C4—48no—
539C4⋊C4—48no—
540C4⋊C4—88no—
541C4⋊C4—84no—
542C22⋊C4—44no—
543C22⋊C4—44no—
544C22⋊C4—44no—
545C22⋊C4—44no—
546C22⋊C4—416no—
547C22⋊C4—416no—
548C22⋊C4—416no—
549C22⋊C4—48no—
550C22⋊C4—48no—
551C22⋊C4—44no—
552C22⋊C4—44no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—84no—
557C22⋊C4—84no—
558C22⋊C4—88no—
559C22⋊C4—84no—
560C22⋊C4—88no—
561C22⋊C4—88no—
562C22⋊C4—88no—
563C22⋊C4—88no—
564C42—84no—
565C23—22no—
566C23—22no—
567C23—24no—
568C23—28no—
569C23—28no—
570C23—28no—
571C23—24no—
572C23—24no—
573C23—28no—
574C23—24no—
575C23—24no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—24no—
580C23—28no—
581C23—24no—
582C23—24no—
583C23—28no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—28no—
593C23—28no—
594C23—416no—
595C23—432no—
596C23—42no—
597C23—41no—
598C23—44no—
599C23—41no—
600C23—44no—
601C23—42no—
602C23—42no—
603C23—416no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—416no—
611C23—41no—
612C23—42no—
613C23—42no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—41no—
619C23—42no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—42no—
624C23—42no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—42no—
633C23—42no—
634C23—88no—
635C23—816no—
636C23—816no—
637C23—816no—
638C23—832no—
639C23—816no—
640C23—88no—
641C23—816no—
642C23—832no—
643C23—816no—
644C23—816no—
645C23—88no—
646C23#53414yes—
647C23#53614yes—
648C23#53818yes—
649C23#54618yes—
650C23#55114yes—
651C23#56014yes—
652C23C23×D411yescharacteristic
653C23C22×#4112yes—
654C23C2×H(5,𝔽2)11yescharacteristic
655C23C2×H(5,𝔽2)11yescharacteristic
656C23C2×H(5,𝔽2)12yes—
657C23C2×H(5,𝔽2)14yes—
658C23C2×2−1+412yes—
659C23#58512yes—
660D4—432no—
661D4—432no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—28no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—28no—
675C2×C4—28no—
676C2×C4—432no—
677C2×C4—416no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—416no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—44no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—42no—
692C2×C4—44no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
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—816no—
730C22—28no—
731C22—24no—
732C22—28no—
733C22—24no—
734C22—216no—
735C22—28no—
736C22—28no—
737C22—24no—
738C22—28no—
739C22—44no—
740C22—44no—
741C22—42no—
742C22—48no—
743C22—42no—
744C22—44no—
745C22—48no—
746C22—42no—
747C22—42no—
748C22—48no—
749C22—44no—
750C22—44no—
751C22—42no—
752C22—44no—
753C22—44no—
754C22—44no—
755C22—832no—
756C22—832no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—84no—
761C22—82no—
762C22—84no—
763C22—84no—
764C22—82no—
765C22—82no—
766C22#269718yes—
767C22C2×#53411yescharacteristic
768C22C2×#53611yescharacteristic
769C22#344911yescharacteristic
770C22C2×#53812yes—
771C22C2×#54612yes—
772C22C2×#55111yescharacteristic
773C22#348412yes—
774C22#351314yes—
775C22#352014yes—
776C22C2×#56011yescharacteristic
777C22#353414yes—
778C22#353512yes—
779C22#353512yes—
780C22#353614yes—
781C22#354312yes—
782C22#354312yes—
783C4—42no—
784C4—42no—
785C4—42no—
786C4—42no—
787C4—44no—
788C4—48no—
789C4—84no—
790C4—84no—
791C4—84no—
792C4—82no—
793C4—82no—
794C2—28no—
795C2—44no—
796C2—84no—
797C2—82no—
798C2#3723211yescharacteristic
799C2#3744111yescharacteristic
800C2#3802112yes—
801C2#3890012yes—
802C2#4081714yes—
803C2#4330612yes—
804C2C2×#269711yescharacteristic
805C2#5254812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC24×D4C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#399C2semidirect
3. #17123C2semidirect
4. #16539C2semidirect
5. #16473C2semidirect
6. #16298C2semidirect
7. #15730C2semidirect
8. #15284C2semidirect
9. #14912C2semidirect
10. #14729C2semidirect
11. #14727C2semidirect
12. #14256C2semidirect
13. #14019C2semidirect
14. #13903C2semidirect
18. C23×C4⋊C4C22semidirect
19. C23×C4⋊C4C22semidirect
26. C2×#399C22semidirect
27. C2×#399C22semidirect
28. C2×#397C22semidirect
29. C2×#396C22semidirect
32. C2×#388C22semidirect
40. C2×#385C22semidirect
41. C2×#381C22semidirect
42. C2×#380C22semidirect
48. C2×C4×C22⋊C4C22semidirect
49. C22×#95C22semidirect
50. #1442C22semidirect
51. #1442C22semidirect
52. #1441C22semidirect
53. #1441C22semidirect
54. #1441C22semidirect
55. #1441C22semidirect
56. #1441C22semidirect
58. #1440C22semidirect
59. #1440C22semidirect
62. #1439C22semidirect
63. #1439C22semidirect
64. #1439C22semidirect
65. #1439C22semidirect
66. #1439C22semidirect
67. #1439C22semidirect
71. #1437C22semidirect
72. #1436C22semidirect
74. C22⋊#95C22semidirect
75. C22⋊#95C22semidirect
76. C22⋊#95C22semidirect

Maximal subgroups

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

subgroupindex
C2×#24052
C22×#3992
#171232
#165392
#164732
#162982
#157302
#152842
#149122
#147292
#147272
#142562
#140192
#139032
#138672