Finite Group Databasebeta

← #920677

Subgroups — #920677

Order 512.

4300 conjugacy classes of subgroups.

The subgroup lattice has 819 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2405C211yesmaximal, characteristic
2C22×#393C211yesmaximal, characteristic, complemented
3#17098C214yesmaximal, complemented
4#16837C214yesmaximal, complemented
5#16481C212yesmaximal, complemented
6#16297C212yesmaximal, complemented
7#15568C212yesmaximal, complemented
8#15467C212yesmaximal, complemented
9#14912C212yesmaximal, complemented
10#14873C212yesmaximal, complemented
11#14727C212yesmaximal, complemented
12#14259C212yesmaximal, complemented
13#14135C212yesmaximal, complemented
14#13868C211yesmaximal, characteristic, complemented
15#13867C212yesmaximal
16C24×Q8C2211yescharacteristic, complemented
17C24×D4C2211yescharacteristic
18C22×#123C2212yes—
19C22×#117C2211yescharacteristic, complemented
20C23×C22⋊C4C2212yes—
21C23×C22⋊C4C2211yescharacteristic
22#2405—28no—
23C2×#397C2214yescomplemented
24C2×#394C2212yes—
25C2×#394C2212yes—
26C2×#393—28no—
27C2×#393C2212yes—
28C2×#393C2212yes—
29C2×#393C2212yescomplemented
30C2×#393C2212yescomplemented
31C2×#393C2214yescomplemented
32C2×#393C2214yescomplemented
33C2×#386C2212yes—
34C2×#386C2212yes—
35C2×#386C2212yes—
36C2×#386C2212yes—
37C2×#386C2212yes—
38C2×#385C2211yescharacteristic
39C2×#385C2211yescharacteristic
40C2×#385C2212yescomplemented
41C2×#381C2211yescharacteristic, complemented
42C2×#379C2211yescharacteristic
43C2×#379C2211yescharacteristic
44C2×#379C2211yescharacteristic
45C2×#379C2212yes—
46C2×#379C2214yes—
47C22×#95C2212yescomplemented
48C22×#95C2211yescharacteristic, complemented
49#1446C2214yescomplemented
50#1446C2214yescomplemented
51#1443C2214yescomplemented
52#1442C2214yescomplemented
53#1442C2214yescomplemented
54#1441C2214yescomplemented
55#1441C2214yescomplemented
56#1440C2214yes—
57#1440C2214yescomplemented
58#1440C2214yescomplemented
59#1440C2214yescomplemented
60#1439C2212yes—
61#1439C2214yes—
62#1439C2212yescomplemented
63#1439C2214yescomplemented
64#1439C2214yescomplemented
65#1439C2214yescomplemented
66#1438C2214yes—
67#1438C2214yes—
68#1437C2212yes—
69#1437C2212yescomplemented
70#1437C2214yescomplemented
71#1436C2214yescomplemented
72C22⋊#95C2214yes—
73C22⋊#95C2212yescomplemented
74C22⋊#95C2212yescomplemented
75C22⋊#95C2212yescomplemented
76C22⋊#95C2212yescomplemented
77C26C2311yescharacteristic
78C26C2311yescharacteristic
79C23×Q8—24no—
80C23×Q8—42no—
81C23×Q8—42no—
82C23×Q8—48no—
83C23×Q8C2312yes—
84C23×Q8C2312yes—
85C23×D4—24no—
86C23×D4—28no—
87C23×D4—44no—
88C23×D4—42no—
89C23×D4—42no—
90C23×D4C2312yes—
91C23×D4C2312yes—
92C24×C4C2311yescharacteristic
93C24×C4C2312yes—
94C24×C4C2311yescharacteristic
95C24×C4C2312yes—
96C24×C4C2311yescharacteristic
97C2×#123—28no—
98C2×#123—28no—
99C2×#123—44no—
100C2×#117—44no—
101C2×#117—42no—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2314yes—
105C22×C4⋊C4C2312yes—
106C22×C22⋊C4—28no—
107C22×C22⋊C4—48no—
108C22×C22⋊C4—42no—
109C22×C22⋊C4—42no—
110C22×C22⋊C4D418yes—
111C22×C22⋊C4C2312yes—
112C22×C22⋊C4C2312yes—
113C22×C22⋊C4C2312yes—
114C22×C22⋊C4C2311yescharacteristic
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2312yes—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2311yescharacteristic
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2311yescharacteristic
130C22×C22⋊C4C2311yescharacteristic
131C22×C22⋊C4C2311yescharacteristic
132C22×C22⋊C4C2311yescharacteristic
133C22×C42C2312yes—
134#397—48no—
135#394—28no—
136#394—28no—
137#393—28no—
138#393—28no—
139#393—28no—
140#393—28no—
141#393—48no—
142#393—48no—
143#386—28no—
144#386—28no—
145#386—44no—
146#386—44no—
147#386—44no—
148#385—24no—
149#385—24no—
150#385—44no—
151#381—42no—
152#379—24no—
153#379—24no—
154#379—24no—
155#379—48no—
156#379—44no—
157C2×#95—28no—
158C2×#95—24no—
159C2×#95C2314yes—
160C2×#95C2314yes—
161C2×#95C2312yes—
162C2×#95C2312yes—
163C2×#95C2314yes—
164C2×#95C2314yes—
165C2×#95C2312yes—
166C2×#95C2312yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2312yes—
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×Q8—24no—
201C22×Q8—24no—
202C22×Q8—28no—
203C22×Q8—28no—
204C22×Q8—42no—
205C22×Q8—42no—
206C22×Q8—42no—
207C22×Q8—42no—
208C22×Q8—44no—
209C22×Q8—44no—
210C22×Q8—432no—
211C22×Q8—416no—
212C22×Q8—432no—
213C22×Q8—432no—
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—24no—
217C22×D4—24no—
218C22×D4—24no—
219C22×D4—24no—
220C22×D4—24no—
221C22×D4—24no—
222C22×D4—24no—
223C22×D4—42no—
224C22×D4—42no—
225C22×D4—42no—
226C22×D4—42no—
227C22×D4—416no—
228C22×D4—432no—
229C22×D4—432no—
230C22×D4—416no—
231C22×D4—416no—
232C22×D4#4118yes—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—24no—
240C23×C4—28no—
241C23×C4—24no—
242C23×C4—22no—
243C23×C4—24no—
244C23×C4—24no—
245C23×C4—24no—
246C23×C4—24no—
247C23×C4—24no—
248C23×C4—41no—
249C23×C4—41no—
250C23×C4—42no—
251C23×C4—44no—
252C23×C4—44no—
253C23×C4—44no—
254C23×C4—44no—
255C23×C4C2×D414yes—
256C23×C4C2×D414yes—
257C23×C4C2412yes—
258C23×C4C2412yes—
259C23×C4C2414yes—
260C23×C4C2414yes—
261C23×C4C2414yes—
262C23×C4C2411yescharacteristic
263C23×C4C2411yescharacteristic
264C23×C4C2411yescharacteristic
265C23×C4C2411yescharacteristic
266C23×C4C2412yes—
267C23×C4C2414yes—
268#123—432no—
269#117—416no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—42no—
275C2×C4⋊C4—44no—
276C2×C4⋊C4—42no—
277C2×C4⋊C4—42no—
278C2×C4⋊C4—44no—
279C2×C4⋊C4—44no—
280C2×C4⋊C4—44no—
281C2×C22⋊C4—28no—
282C2×C22⋊C4—28no—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—22no—
285C2×C22⋊C4—22no—
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—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—24no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—416no—
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—41no—
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⋊C4—44no—
340C2×C22⋊C4C2×D414yes—
341C2×C22⋊C4C2×D414yes—
342C2×C22⋊C4C2×D414yes—
343C2×C22⋊C4C2×D414yes—
344C2×C42—42no—
345C2×C42—44no—
346#95—28no—
347#95—28no—
348#95—24no—
349#95—24no—
350#95—24no—
351#95—24no—
352#95—28no—
353#95—28no—
354#95—28no—
355#95—44no—
356#95—42no—
357#95—42no—
358#95—44no—
359#95—44no—
360#95—44no—
361#95—44no—
362#95—44no—
363#95—44no—
364#95—44no—
365#95—44no—
366#95—44no—
367C24—24no—
368C24—22no—
369C24—22no—
370C24—22no—
371C24—24no—
372C24—21no—
373C24—21no—
374C24—22no—
375C24—22no—
376C24—28no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—24no—
381C24—24no—
382C24—24no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—21no—
388C24—21no—
389C24—22no—
390C24—22no—
391C24—24no—
392C24—22no—
393C24—24no—
394C24—28no—
395C24—216no—
396C24—48no—
397C24—44no—
398C24—48no—
399C24—44no—
400C24—416no—
401C24—48no—
402C24—48no—
403C24—416no—
404C24—416no—
405C24—44no—
406C24—48no—
407C24—44no—
408C24—44no—
409C24—48no—
410C24—44no—
411C24—44no—
412C24—44no—
413C24—88no—
414C24—84no—
415C24—84no—
416C24—88no—
417C24—84no—
418C24—84no—
419C24—84no—
420C24—88no—
421C24—88no—
422C24—84no—
423C24—84no—
424C24—88no—
425C24C22×D412yes—
426C24C22×D412yes—
427C24C22×D412yes—
428C24C2×#4114yes—
429C24C2×#4114yes—
430C24H(5,𝔽2)12yes—
431C24H(5,𝔽2)12yes—
432C24H(5,𝔽2)14yes—
433C242−1+414yes—
434C24C2511yescharacteristic
435C2×Q8—416no—
436C2×Q8—416no—
437C2×Q8—48no—
438C2×Q8—48no—
439C2×Q8—48no—
440C2×Q8—48no—
441C2×Q8—416no—
442C2×Q8—416no—
443C2×Q8—4128no—
444C2×Q8—48no—
445C2×Q8—48no—
446C2×D4—216no—
447C2×D4—216no—
448C2×D4—216no—
449C2×D4—48no—
450C2×D4—48no—
451C2×D4—48no—
452C2×D4—48no—
453C2×D4—48no—
454C2×D4—48no—
455C2×D4—4128no—
456C2×D4—48no—
457C2×D4—48no—
458C2×D4—48no—
459C2×D4—48no—
460C2×D4—48no—
461C22×C4—216no—
462C22×C4—28no—
463C22×C4—28no—
464C22×C4—216no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—22no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—24no—
522C22×C4—48no—
523C22×C4—44no—
524C22×C4—48no—
525C22×C4—416no—
526C22×C4—416no—
527C22×C4—48no—
528C22×C4—44no—
529C22×C4—48no—
530C22×C4—48no—
531C22×C4—48no—
532C22×C4—44no—
533C22×C4—48no—
534C22×C4—48no—
535C22×C4—44no—
536C22×C4—44no—
537C22×C4—48no—
538C22×C4—48no—
539C22×C4—48no—
540C22×C4—88no—
541C22×C4—88no—
542C22×C4C22×D412yes—
543C22×C4C22×D412yes—
544C22×C4C22×D412yes—
545C22×C4C22×D412yes—
546C22×C4C2×#4114yes—
547C22×C4H(5,𝔽2)18yes—
548C4⋊C4—48no—
549C4⋊C4—48no—
550C4⋊C4—48no—
551C4⋊C4—88no—
552C22⋊C4—44no—
553C22⋊C4—44no—
554C22⋊C4—44no—
555C22⋊C4—44no—
556C22⋊C4—416no—
557C22⋊C4—416no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—44no—
561C22⋊C4—44no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—84no—
566C22⋊C4—84no—
567C22⋊C4—88no—
568C22⋊C4—88no—
569C22⋊C4—84no—
570C22⋊C4—88no—
571C22⋊C4—88no—
572C22⋊C4—88no—
573C22⋊C4—88no—
574C42—48no—
575C23—22no—
576C23—22no—
577C23—24no—
578C23—28no—
579C23—28no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—28no—
585C23—28no—
586C23—22no—
587C23—22no—
588C23—24no—
589C23—24no—
590C23—28no—
591C23—24no—
592C23—24no—
593C23—28no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—28no—
603C23—28no—
604C23—416no—
605C23—432no—
606C23—42no—
607C23—41no—
608C23—44no—
609C23—41no—
610C23—42no—
611C23—42no—
612C23—44no—
613C23—416no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—416no—
620C23—42no—
621C23—41no—
622C23—42no—
623C23—42no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—41no—
629C23—42no—
630C23—44no—
631C23—44no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—44no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23—44no—
641C23—44no—
642C23—44no—
643C23—44no—
644C23—88no—
645C23—816no—
646C23—816no—
647C23—816no—
648C23—832no—
649C23—816no—
650C23—88no—
651C23—816no—
652C23—816no—
653C23—832no—
654C23—88no—
655C23—816no—
656C23#53414yes—
657C23#53614yes—
658C23#53818yes—
659C23#54618yes—
660C23#55114yes—
661C23H(3,𝔽4)14yes—
662C23C23×D411yescharacteristic
663C23C22×#4112yes—
664C23C2×H(5,𝔽2)11yescharacteristic
665C23C2×H(5,𝔽2)11yescharacteristic
666C23C2×H(5,𝔽2)12yes—
667C23C2×H(5,𝔽2)14yes—
668C23C2×2−1+412yes—
669C23#58512yes—
670Q8—432no—
671Q8—432no—
672D4—432no—
673D4—432no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—28no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—28no—
687C2×C4—28no—
688C2×C4—432no—
689C2×C4—416no—
690C2×C4—416no—
691C2×C4—42no—
692C2×C4—44no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—416no—
697C2×C4—42no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—44no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—42no—
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—44no—
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—816no—
742C22—24no—
743C22—24no—
744C22—28no—
745C22—28no—
746C22—28no—
747C22—28no—
748C22—216no—
749C22—24no—
750C22—28no—
751C22—42no—
752C22—42no—
753C22—44no—
754C22—44no—
755C22—44no—
756C22—48no—
757C22—42no—
758C22—42no—
759C22—44no—
760C22—44no—
761C22—42no—
762C22—44no—
763C22—44no—
764C22—44no—
765C22—48no—
766C22—48no—
767C22—832no—
768C22—832no—
769C22—82no—
770C22—82no—
771C22—82no—
772C22—82no—
773C22—82no—
774C22—84no—
775C22—82no—
776C22—84no—
777C22—84no—
778C22#268418yes—
779C22C2×#53411yescharacteristic
780C22C2×#53611yescharacteristic
781C22#344911yescharacteristic
782C22C2×#53812yes—
783C22C2×#54612yes—
784C22C2×#55111yescharacteristic
785C22#348412yes—
786C22#351414yes—
787C22#352014yes—
788C22C2×H(3,𝔽4)11yescharacteristic
789C22#353212yes—
790C22#353212yes—
791C22#353512yes—
792C22#353512yes—
793C22#353614yes—
794C22#355814yes—
795C4—42no—
796C4—42no—
797C4—48no—
798C4—42no—
799C4—42no—
800C4—44no—
801C4—82no—
802C4—82no—
803C4—84no—
804C4—84no—
805C4—84no—
806C2—28no—
807C2—44no—
808C2—82no—
809C2—84no—
810C2#3671411yescharacteristic
811C2#3744111yescharacteristic
812C2#3802112yes—
813C2#3802812yes—
814C2#4089314yes—
815C2#4366712yes—
816C2C2×#268411yescharacteristic
817C2#5239512yes—
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×#393C2semidirect
3. #17098C2semidirect
4. #16837C2semidirect
5. #16481C2semidirect
6. #16297C2semidirect
7. #15568C2semidirect
8. #15467C2semidirect
9. #14912C2semidirect
10. #14873C2semidirect
11. #14727C2semidirect
12. #14259C2semidirect
13. #14135C2semidirect
14. #13868C2semidirect
16. C24×Q8C22semidirect
19. C22×#117C22semidirect
23. C2×#397C22semidirect
29. C2×#393C22semidirect
30. C2×#393C22semidirect
31. C2×#393C22semidirect
32. C2×#393C22semidirect
40. C2×#385C22semidirect
41. C2×#381C22semidirect
47. C22×#95C22semidirect
48. C22×#95C22semidirect
49. #1446C22semidirect
50. #1446C22semidirect
51. #1443C22semidirect
52. #1442C22semidirect
53. #1442C22semidirect
54. #1441C22semidirect
55. #1441C22semidirect
57. #1440C22semidirect
58. #1440C22semidirect
59. #1440C22semidirect
62. #1439C22semidirect
63. #1439C22semidirect
64. #1439C22semidirect
65. #1439C22semidirect
69. #1437C22semidirect
70. #1437C22semidirect
71. #1436C22semidirect
73. C22⋊#95C22semidirect
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×#3932
#170982
#168372
#164812
#162972
#155682
#154672
#149122
#148732
#147272
#142592
#141352
#138682
#138672