Finite Group Databasebeta

← #847105

Subgroups — #847105

Order 512.

4166 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×#2405C211yesmaximal, characteristic
2C22×#390C211yesmaximal, characteristic
3#16573C214yesmaximal, complemented
4#16074C212yesmaximal, complemented
5#15983C212yesmaximal, complemented
6#15803C214yesmaximal, complemented
7#15073C212yesmaximal, complemented
8#14918C212yesmaximal, complemented
9#14918C212yesmaximal, complemented
10#14695C212yesmaximal, complemented
11#14513C212yesmaximal, complemented
12#14505C212yesmaximal, complemented
13#13869C212yesmaximal, complemented
14#13869C212yesmaximal, complemented
15#13867C211yesmaximal, characteristic
16C24×D4C2211yescharacteristic
17C22×#123C2211yescharacteristic
18C22×#123C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20C23×C22⋊C4C2212yes—
21C23×C22⋊C4C2212yes—
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C42C2211yescharacteristic
25#2405—28no—
26C2×#394C2212yes—
27C2×#394C2212yes—
28C2×#390—28no—
29C2×#390C2212yes—
30C2×#390C2212yes—
31C2×#390C2212yes—
32C2×#390C2212yes—
33C2×#387C2214yescomplemented
34C2×#386C2212yes—
35C2×#386C2211yescharacteristic
36C2×#386C2211yescharacteristic
37C2×#386C2212yes—
38C2×#385C2212yes—
39C2×#385C2212yes—
40C2×#381C2212yes—
41C2×#381C2212yes—
42C2×#381C2212yes—
43C2×#381C2212yes—
44C2×#379C2212yes—
45C2×#379C2211yescharacteristic
46C2×#379C2212yes—
47C2×#379C2211yescharacteristic
48#1442C2214yescomplemented
49#1442C2214yescomplemented
50#1441C2214yescomplemented
51#1441C2214yescomplemented
52#1440C2214yescomplemented
53#1440C2214yescomplemented
54#1440C2214yescomplemented
55#1440C2214yescomplemented
56#1440C2214yescomplemented
57#1440C2214yescomplemented
58#1440C2214yescomplemented
59#1440C2214yescomplemented
60#1439C2214yescomplemented
61#1439C2214yescomplemented
62#1439C2214yescomplemented
63#1439C2214yescomplemented
64#1438C2212yes—
65#1438C2212yes—
66#1436C2214yescomplemented
67#1436C2214yescomplemented
68#1434C2214yescomplemented
69C22⋊#95C2212yes—
70C22⋊#95C2212yes—
71C22⋊#95C2212yes—
72C22⋊#95C2212yes—
73C22⋊#95C2214yescomplemented
74C22⋊#95C2214yescomplemented
75C22⋊#95C2214yescomplemented
76C22⋊#95C2214yescomplemented
77C26C2311yescharacteristic
78C26C2311yescharacteristic
79C23×D4—28no—
80C23×D4—44no—
81C23×D4—42no—
82C23×D4—42no—
83C23×D4D418yes—
84C23×D4C2311yescharacteristic
85C23×D4C2311yescharacteristic
86C23×D4C2311yescharacteristic
87C23×D4C2311yescharacteristic
88C24×C4C2312yes—
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2312yes—
92C24×C4C2311yescharacteristic
93C24×C4C2312yes—
94C2×#123—24no—
95C2×#123—24no—
96C2×#123—28no—
97C2×#123—44no—
98C22×C4⋊C4—24no—
99C22×C4⋊C4—42no—
100C22×C4⋊C4—42no—
101C22×C4⋊C4C2312yes—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2314yes—
106C22×C22⋊C4—24no—
107C22×C22⋊C4—28no—
108C22×C22⋊C4—28no—
109C22×C22⋊C4—28no—
110C22×C22⋊C4—28no—
111C22×C22⋊C4—44no—
112C22×C22⋊C4—42no—
113C22×C22⋊C4—42no—
114C22×C22⋊C4—42no—
115C22×C22⋊C4—44no—
116C22×C22⋊C4—44no—
117C22×C22⋊C4C2312yes—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2311yescharacteristic
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2311yescharacteristic
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2314yes—
138C22×C42—24no—
139C22×C42—44no—
140C22×C42C2312yes—
141C22×C42C2312yes—
142#394—28no—
143#394—28no—
144#390—28no—
145#390—28no—
146#390—28no—
147#390—28no—
148#387—48no—
149#386—24no—
150#386—24no—
151#386—28no—
152#386—44no—
153#385—28no—
154#385—28no—
155#381—44no—
156#381—44no—
157#381—44no—
158#381—44no—
159#379—28no—
160#379—24no—
161#379—44no—
162#379—42no—
163C2×#95C2312yes—
164C2×#95C2312yes—
165C2×#95C2314yes—
166C2×#95C2314yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C25—24no—
183C25—24no—
184C25—24no—
185C25—24no—
186C25—24no—
187C25—22no—
188C25—22no—
189C25—22no—
190C25—24no—
191C25—22no—
192C25—42no—
193C25—42no—
194C25—44no—
195C25—44no—
196C25C2×D414yes—
197C25C2×D414yes—
198C25C2411yescharacteristic
199C25C2411yescharacteristic
200C25C2411yescharacteristic
201C25C2411yescharacteristic
202C25C2411yescharacteristic
203C22×D4—24no—
204C22×D4—24no—
205C22×D4—232no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—24no—
209C22×D4—416no—
210C22×D4—416no—
211C22×D4—42no—
212C22×D4—42no—
213C22×D4—41no—
214C22×D4—41no—
215C22×D4—41no—
216C22×D4—41no—
217C22×D4—41no—
218C22×D4—41no—
219C22×D4—41no—
220C22×D4—41no—
221C22×D4—432no—
222C22×D4—432no—
223C22×D4C2×D414yes—
224C22×D4C2×D414yes—
225C22×D4C2×D414yes—
226C22×D4C2×D414yes—
227C22×D4#4118yes—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—22no—
236C23×C4—24no—
237C23×C4—24no—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—24no—
241C23×C4—24no—
242C23×C4—22no—
243C23×C4—24no—
244C23×C4—24no—
245C23×C4—44no—
246C23×C4—44no—
247C23×C4—41no—
248C23×C4—41no—
249C23×C4—41no—
250C23×C4—41no—
251C23×C4—42no—
252C23×C4—44no—
253C23×C4—42no—
254C23×C4—44no—
255C23×C4—44no—
256C23×C4—42no—
257C23×C4C2×D414yes—
258C23×C4#4118yes—
259C23×C4C2412yes—
260C23×C4C2412yes—
261C23×C4C2414yes—
262C23×C4C2414yes—
263C23×C4C2412yes—
264C23×C4C2412yes—
265C23×C4C2414yes—
266C23×C4C2414yes—
267C23×C4C2411yescharacteristic
268C23×C4C2411yescharacteristic
269#123—416no—
270#123—416no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—28no—
276C2×C4⋊C4—28no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—42no—
279C2×C4⋊C4—42no—
280C2×C4⋊C4—42no—
281C2×C4⋊C4—42no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4—416no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—28no—
287C2×C22⋊C4—28no—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—28no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—22no—
292C2×C22⋊C4—22no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—28no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—42no—
322C2×C22⋊C4—42no—
323C2×C22⋊C4—42no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—42no—
327C2×C22⋊C4—432no—
328C2×C22⋊C4—432no—
329C2×C22⋊C4—416no—
330C2×C22⋊C4—416no—
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—42no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—42no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—42no—
342C2×C22⋊C4—44no—
343C2×C42—24no—
344C2×C42—24no—
345C2×C42—28no—
346C2×C42—42no—
347C2×C42—42no—
348C2×C42—416no—
349#95—24no—
350#95—24no—
351#95—28no—
352#95—28no—
353#95—28no—
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—
364#95—44no—
365#95—44no—
366#95—44no—
367#95—44no—
368C24—22no—
369C24—22no—
370C24—24no—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—21no—
376C24—22no—
377C24—22no—
378C24—21no—
379C24—21no—
380C24—21no—
381C24—24no—
382C24—24no—
383C24—28no—
384C24—28no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—21no—
394C24—21no—
395C24—21no—
396C24—21no—
397C24—24no—
398C24—24no—
399C24—28no—
400C24—28no—
401C24—216no—
402C24—216no—
403C24—44no—
404C24—44no—
405C24—48no—
406C24—48no—
407C24—48no—
408C24—48no—
409C24—48no—
410C24—48no—
411C24—416no—
412C24—416no—
413C24—416no—
414C24—416no—
415C24—48no—
416C24—48no—
417C24—44no—
418C24—44no—
419C24—44no—
420C24—44no—
421C24—88no—
422C24—88no—
423C24—88no—
424C24—88no—
425C24—84no—
426C24—84no—
427C24—84no—
428C24—84no—
429C24C22×D412yes—
430C24C22×D412yes—
431C24C22×D412yes—
432C24C22×D412yes—
433C24C22×D412yes—
434C24C2×#4114yes—
435C24C2×#4114yes—
436C24C2×#4114yes—
437C24H(5,𝔽2)12yes—
438C24H(5,𝔽2)12yes—
439C24H(5,𝔽2)14yes—
440C24C2511yescharacteristic
441C2×D4—28no—
442C2×D4—28no—
443C2×D4—28no—
444C2×D4—28no—
445C2×D4—28no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—48no—
453C2×D4—48no—
454C2×D4—48no—
455C2×D4—48no—
456C2×D4—48no—
457C2×D4—48no—
458C2×D4—4128no—
459C2×D4—48no—
460C2×D4—48no—
461C2×D4#123116yes—
462C22×C4—216no—
463C22×C4—216no—
464C22×C4—28no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—28no—
472C22×C4—28no—
473C22×C4—216no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—416no—
522C22×C4—48no—
523C22×C4—48no—
524C22×C4—416no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—48no—
529C22×C4—44no—
530C22×C4—48no—
531C22×C4—48no—
532C22×C4—48no—
533C22×C4—48no—
534C22×C4—48no—
535C22×C4—48no—
536C22×C4—48no—
537C22×C4—84no—
538C22×C4—84no—
539C22×C4—84no—
540C22×C4—84no—
541C22×C4—88no—
542C22×C4—88no—
543C22×C4—84no—
544C22×C4—84no—
545C22×C4—84no—
546C22×C4C22×D412yes—
547C22×C4C22×D412yes—
548C22×C4C2×#4118yes—
549C22×C4C2×#4114yes—
550C22×C4H(5,𝔽2)14yes—
551C4⋊C4—416no—
552C4⋊C4—48no—
553C4⋊C4—48no—
554C4⋊C4—48no—
555C4⋊C4—48no—
556C22⋊C4—416no—
557C22⋊C4—416no—
558C22⋊C4—416no—
559C22⋊C4—416no—
560C22⋊C4—48no—
561C22⋊C4—44no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—44no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—84no—
571C22⋊C4—84no—
572C22⋊C4—84no—
573C22⋊C4—84no—
574C22⋊C4—88no—
575C22⋊C4—88no—
576C22⋊C4—84no—
577C42—48no—
578C42—48no—
579C23—22no—
580C23—22no—
581C23—28no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—28no—
586C23—28no—
587C23—28no—
588C23—24no—
589C23—24no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—24no—
595C23—24no—
596C23—28no—
597C23—28no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—28no—
605C23—28no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—24no—
613C23—24no—
614C23—24no—
615C23—24no—
616C23—416no—
617C23—416no—
618C23—432no—
619C23—432no—
620C23—42no—
621C23—42no—
622C23—41no—
623C23—41no—
624C23—44no—
625C23—44no—
626C23—41no—
627C23—41no—
628C23—44no—
629C23—44no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—44no—
637C23—44no—
638C23—416no—
639C23—416no—
640C23—41no—
641C23—41no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—44no—
647C23—44no—
648C23—44no—
649C23—44no—
650C23—41no—
651C23—41no—
652C23—44no—
653C23—44no—
654C23—42no—
655C23—42no—
656C23—42no—
657C23—42no—
658C23—816no—
659C23—816no—
660C23—88no—
661C23—88no—
662C23—832no—
663C23—832no—
664C23—816no—
665C23—816no—
666C23—816no—
667C23—816no—
668C23C2×#12314yes—
669C23C2×#12314yes—
670C23#53414yes—
671C23#54018yes—
672C23#54618yes—
673C23#55914yes—
674C23#56014yes—
675C23C23×D411yescharacteristic
676C23C22×#4112yes—
677C23C22×#4112yes—
678C23C2×H(5,𝔽2)11yescharacteristic
679C23C2×H(5,𝔽2)11yescharacteristic
680C23C2×H(5,𝔽2)12yes—
681C23C2×H(5,𝔽2)12yes—
682C23#58514yes—
683D4—416no—
684D4—416no—
685D4—416no—
686D4—416no—
687C2×C4—232no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—24no—
693C2×C4—24no—
694C2×C4—24no—
695C2×C4—24no—
696C2×C4—28no—
697C2×C4—28no—
698C2×C4—28no—
699C2×C4—432no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
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—44no—
742C2×C4—44no—
743C2×C4—44no—
744C2×C4—44no—
745C2×C4—88no—
746C2×C4—816no—
747C2×C4—88no—
748C2×C4—816no—
749C2×C4C2×#12314yes—
750C2×C4#53414yes—
751C22—28no—
752C22—28no—
753C22—216no—
754C22—24no—
755C22—28no—
756C22—28no—
757C22—24no—
758C22—28no—
759C22—28no—
760C22—24no—
761C22—24no—
762C22—44no—
763C22—44no—
764C22—48no—
765C22—48no—
766C22—42no—
767C22—42no—
768C22—44no—
769C22—44no—
770C22—44no—
771C22—44no—
772C22—42no—
773C22—42no—
774C22—44no—
775C22—44no—
776C22—44no—
777C22—44no—
778C22—42no—
779C22—42no—
780C22—42no—
781C22—42no—
782C22—42no—
783C22—42no—
784C22—832no—
785C22—832no—
786C22—84no—
787C22—84no—
788C22—82no—
789C22—82no—
790C22—82no—
791C22—82no—
792C22#270918yes—
793C22C22×#12311yescharacteristic
794C22C2×#53411yescharacteristic
795C22C2×#53411yescharacteristic
796C22C2×#54012yes—
797C22C2×#54612yes—
798C22#347514yes—
799C22C2×#55911yescharacteristic
800C22#348512yes—
801C22#349012yes—
802C22#349012yes—
803C22#350514yes—
804C22#351314yes—
805C22C2×#56011yescharacteristic
806C22#354214yes—
807C22#354512yes—
808C22#354512yes—
809C4—24no—
810C4—24no—
811C4—48no—
812C4—82no—
813C4—82no—
814C4—84no—
815C4—84no—
816C4—82no—
817C4—84no—
818C4—82no—
819C2—28no—
820C2—44no—
821C2—44no—
822C2—82no—
823C2—82no—
824C2#3499211yescharacteristic
825C2#3615512yes—
826C2#3711911yescharacteristic
827C2#3846014yes—
828C2#3946612yes—
829C2#4633412yes—
830C2C2×#270911yescharacteristic
831C2#5986112yes—
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
3. #16573C2semidirect
4. #16074C2semidirect
5. #15983C2semidirect
6. #15803C2semidirect
7. #15073C2semidirect
8. #14918C2semidirect
9. #14918C2semidirect
10. #14695C2semidirect
11. #14513C2semidirect
12. #14505C2semidirect
13. #13869C2semidirect
14. #13869C2semidirect
33. C2×#387C22semidirect
48. #1442C22semidirect
49. #1442C22semidirect
50. #1441C22semidirect
51. #1441C22semidirect
52. #1440C22semidirect
53. #1440C22semidirect
54. #1440C22semidirect
55. #1440C22semidirect
56. #1440C22semidirect
57. #1440C22semidirect
58. #1440C22semidirect
59. #1440C22semidirect
60. #1439C22semidirect
61. #1439C22semidirect
62. #1439C22semidirect
63. #1439C22semidirect
66. #1436C22semidirect
67. #1436C22semidirect
68. #1434C22semidirect
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×#3902
#165732
#160742
#159832
#158032
#150732
#149182
#146952
#145132
#145052
#138692
#138672