Finite Group Databasebeta

← #627245

Subgroups — #627245

Order 512.

4802 conjugacy classes of subgroups.

The subgroup lattice has 800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2626C211yesmaximal, characteristic, complemented
2C22×#386C211yesmaximal, characteristic
3#15506C214yesmaximal, complemented
4#15439C214yesmaximal, complemented
5#15328C214yesmaximal, complemented
6#15327C214yesmaximal, complemented
7#15015C211yesmaximal, characteristic, complemented
8#14914C211yesmaximal, characteristic, complemented
9#14734C211yesmaximal, characteristic, complemented
10#14717C211yesmaximal, characteristic, complemented
11#14693C212yesmaximal, complemented
12#14265C212yesmaximal, complemented
13#13877C212yesmaximal, complemented
14#13867C212yesmaximal
15#13794C211yesmaximal, characteristic, complemented
16C24×D4C2211yescharacteristic
17C25×C4C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic
19C23×C22⋊C4C2212yes—
20C23×C22⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23#2626—28no—
24C2×#399C2212yescomplemented
25C2×#399C2212yescomplemented
26C2×#396C2212yescomplemented
27C2×#396C2212yescomplemented
28C2×#393C2212yescomplemented
29C2×#393C2212yescomplemented
30C2×#386—28no—
31C2×#386C2214yes—
32C2×#386C2214yes—
33C2×#386C2214yes—
34C2×#386C2214yes—
35C2×#385C2212yes—
36C2×#385C2212yes—
37C2×#385C2212yes—
38C2×#385C2214yescomplemented
39C2×#385C2214yescomplemented
40C2×#380C2211yescharacteristic
41C2×#380C2214yescomplemented
42C2×#379C2212yes—
43C2×#379C2212yes—
44C2×#379C2212yes—
45C22×#95C2211yescharacteristic
46C22×#95C2211yescharacteristic
47#1446C2212yescomplemented
48#1445C2214yescomplemented
49#1445C2212yescomplemented
50#1444C2212yescomplemented
51#1443C2214yescomplemented
52#1443C2214yescomplemented
53#1442C2212yescomplemented
54#1442C2214yescomplemented
55#1441C2214yescomplemented
56#1441C2214yescomplemented
57#1439C2214yescomplemented
58#1439C2214yescomplemented
59#1439C2214yescomplemented
60#1439C2212yescomplemented
61#1439C2214yescomplemented
62#1439C2212yescomplemented
63#1438C2214yes—
64#1438C2214yes—
65C22⋊#95C2212yes—
66C22⋊#95C2212yes—
67C22⋊#95C2212yes—
68C22⋊#95C2212yes—
69C22⋊#95C2211yescharacteristic
70C22⋊#95C2212yes—
71C22⋊#95C2211yescharacteristic
72C22⋊#95C2214yescomplemented
73C22⋊#95C2214yescomplemented
74C22⋊#95C2214yescomplemented
75C22⋊#95C2214yescomplemented
76C22⋊#95C2214yescomplemented
77C26C2311yescharacteristic
78C26C2311yescharacteristic
79C23×Q8C2311yescharacteristic
80C23×D4—24no—
81C23×D4—24no—
82C23×D4—44no—
83C23×D4—44no—
84C23×D4Q818yescomplemented
85C23×D4C2314yes—
86C24×C4—24no—
87C24×C4—44no—
88C24×C4—44no—
89C24×C4—44no—
90C24×C4C2311yescharacteristic
91C24×C4C2314yes—
92C24×C4C2311yescharacteristic
93C24×C4C2314yes—
94C24×C4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C24×C4C2311yescharacteristic
97C2×C22⋊Q8—24no—
98C2×C22⋊Q8—44no—
99C22×C4⋊C4C2311yescharacteristic
100C22×C4⋊C4C2312yes—
101C22×C4⋊C4C2311yescharacteristic
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2311yescharacteristic
105C22×C4⋊C4C2314yes—
106C22×C4⋊C4C2314yes—
107C22×C22⋊C4—24no—
108C22×C22⋊C4—28no—
109C22×C22⋊C4—24no—
110C22×C22⋊C4—28no—
111C22×C22⋊C4—44no—
112C22×C22⋊C4—44no—
113C22×C22⋊C4—44no—
114C22×C22⋊C4—44no—
115C22×C22⋊C4D418yes—
116C22×C22⋊C4C2312yes—
117C22×C22⋊C4C2312yes—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134#399—28no—
135#399—44no—
136#396—28no—
137#396—28no—
138#393—28no—
139#393—44no—
140#386—216no—
141#386—216no—
142#386—48no—
143#386—48no—
144#385—28no—
145#385—28no—
146#385—48no—
147#385—44no—
148#385—48no—
149#380—24no—
150#380—48no—
151#379—28no—
152#379—28no—
153#379—44no—
154C2×#95—24no—
155C2×#95—24no—
156C2×#95C2312yes—
157C2×#95C2312yes—
158C2×#95C2312yes—
159C2×#95C2314yes—
160C2×#95C2314yes—
161C2×#95C2312yes—
162C2×#95C2314yes—
163C2×#95C2312yes—
164C2×#95C2312yes—
165C2×#95C2314yes—
166C2×#95C2312yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C25—22no—
179C25—22no—
180C25—24no—
181C25—24no—
182C25—24no—
183C25—24no—
184C25—24no—
185C25—24no—
186C25—42no—
187C25—42no—
188C25—42no—
189C25—42no—
190C25—42no—
191C25—42no—
192C25C2×D414yes—
193C25C2×Q814yes—
194C25C2×Q814yes—
195C25#4114yes—
196C25C2412yes—
197C25C2412yes—
198C25C2411yescharacteristic
199C22×Q8—22no—
200C22×Q8—42no—
201C22×Q8—42no—
202C22×Q8—42no—
203C22×D4—232no—
204C22×D4—28no—
205C22×D4—28no—
206C22×D4—28no—
207C22×D4—28no—
208C22×D4—44no—
209C22×D4—44no—
210C22×D4—432no—
211C22×D4—416no—
212C22×D4—416no—
213C22×D4—432no—
214C22×D4C2×Q8116yes—
215C23×C4—22no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—22no—
222C23×C4—28no—
223C23×C4—24no—
224C23×C4—28no—
225C23×C4—24no—
226C23×C4—28no—
227C23×C4—28no—
228C23×C4—28no—
229C23×C4—42no—
230C23×C4—42no—
231C23×C4—42no—
232C23×C4—44no—
233C23×C4—44no—
234C23×C4—44no—
235C23×C4—44no—
236C23×C4—42no—
237C23×C4—42no—
238C23×C4—42no—
239C23×C4—44no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4—44no—
243C23×C4—42no—
244C23×C4—44no—
245C23×C4—44no—
246C23×C4—44no—
247C23×C4—416no—
248C23×C4—416no—
249C23×C4—416no—
250C23×C4—464no—
251C23×C4C2×D414yes—
252C23×C4C2×D414yes—
253C23×C4C2×Q814yes—
254C23×C4C2412yes—
255C23×C4C2412yes—
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2412yes—
259C23×C4C2414yes—
260C23×C4C2411yescharacteristic
261C23×C4C2411yescharacteristic
262C23×C4C2412yes—
263C23×C4C2412yes—
264C23×C4C2414yes—
265C23×C4C2412yes—
266C22⋊Q8—416no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—22no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—28no—
274C2×C4⋊C4—28no—
275C2×C4⋊C4—42no—
276C2×C4⋊C4—42no—
277C2×C4⋊C4—42no—
278C2×C4⋊C4—42no—
279C2×C4⋊C4—44no—
280C2×C4⋊C4—44no—
281C2×C4⋊C4—44no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4—44no—
285C2×C4⋊C4—42no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—28no—
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—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—432no—
316C2×C22⋊C4—416no—
317C2×C22⋊C4—42no—
318C2×C22⋊C4—42no—
319C2×C22⋊C4—42no—
320C2×C22⋊C4—42no—
321C2×C22⋊C4—42no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—42no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—416no—
328C2×C22⋊C4—416no—
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⋊C4C2×D418yes—
338C2×C22⋊C4C2×D418yes—
339C2×C22⋊C4#4118yes—
340#95—24no—
341#95—24no—
342#95—28no—
343#95—24no—
344#95—24no—
345#95—24no—
346#95—28no—
347#95—28no—
348#95—42no—
349#95—42no—
350#95—44no—
351#95—44no—
352#95—44no—
353#95—44no—
354#95—44no—
355#95—44no—
356#95—44no—
357#95—44no—
358#95—44no—
359#95—42no—
360#95—44no—
361#95—42no—
362C24—22no—
363C24—22no—
364C24—22no—
365C24—22no—
366C24—28no—
367C24—28no—
368C24—216no—
369C24—28no—
370C24—216no—
371C24—22no—
372C24—22no—
373C24—24no—
374C24—22no—
375C24—22no—
376C24—24no—
377C24—22no—
378C24—24no—
379C24—22no—
380C24—24no—
381C24—22no—
382C24—24no—
383C24—24no—
384C24—22no—
385C24—24no—
386C24—24no—
387C24—28no—
388C24—28no—
389C24—216no—
390C24—216no—
391C24—216no—
392C24—48no—
393C24—44no—
394C24—44no—
395C24—44no—
396C24—48no—
397C24—48no—
398C24—44no—
399C24—48no—
400C24—48no—
401C24—416no—
402C24—416no—
403C24—416no—
404C24—416no—
405C24—44no—
406C24—48no—
407C24—44no—
408C24—44no—
409C24—44no—
410C24—48no—
411C24—88no—
412C24—88no—
413C24—88no—
414C24—88no—
415C24C22⋊Q8116yes—
416C24C22×D414yes—
417C24C22×D412yes—
418C24C22×Q814yes—
419C24C22×Q814yes—
420C24C22×Q812yes—
421C24C2×#4114yes—
422C24C2×#4112yes—
423C24C2×#4114yes—
424C24H(5,𝔽2)14yes—
425C24H(5,𝔽2)14yes—
426C24H(5,𝔽2)14yes—
427C24C2511yescharacteristic
428C2×Q8—44no—
429C2×Q8—82no—
430C2×Q8—82no—
431C2×Q8—88no—
432C2×D4—232no—
433C2×D4—232no—
434C2×D4—416no—
435C2×D4—416no—
436C2×D4—416no—
437C2×D4—416no—
438C2×D4—416no—
439C2×D4—4128no—
440C22×C4—28no—
441C22×C4—28no—
442C22×C4—28no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—24no—
446C22×C4—22no—
447C22×C4—24no—
448C22×C4—24no—
449C22×C4—24no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—28no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—48no—
503C22×C4—416no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—416no—
507C22×C4—416no—
508C22×C4—416no—
509C22×C4—416no—
510C22×C4—416no—
511C22×C4—416no—
512C22×C4—44no—
513C22×C4—416no—
514C22×C4—416no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—48no—
518C22×C4—4128no—
519C22×C4—416no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—416no—
524C22×C4—44no—
525C22×C4—88no—
526C22×C4—88no—
527C22×C4—88no—
528C22×C4—88no—
529C22×C4—88no—
530C22×C4—88no—
531C22×C4—88no—
532C22×C4C22×D412yes—
533C22×C4C22×D414yes—
534C22×C4C22×D412yes—
535C22×C4C22×Q814yes—
536C22×C4C2×#4118yes—
537C22×C4H(5,𝔽2)14yes—
538C4⋊C4—48no—
539C4⋊C4—44no—
540C4⋊C4—82no—
541C4⋊C4—84no—
542C4⋊C4—84no—
543C4⋊C4—82no—
544C4⋊C4—88no—
545C4⋊C4—88no—
546C22⋊C4—216no—
547C22⋊C4—48no—
548C22⋊C4—48no—
549C22⋊C4—416no—
550C22⋊C4—416no—
551C22⋊C4—416no—
552C22⋊C4—48no—
553C22⋊C4—416no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—84no—
559C22⋊C4—84no—
560C22⋊C4—84no—
561C22⋊C4—84no—
562C22⋊C4—88no—
563C22⋊C4—88no—
564C23—24no—
565C23—24no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—24no—
571C23—24no—
572C23—28no—
573C23—28no—
574C23—28no—
575C23—28no—
576C23—232no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—28no—
581C23—24no—
582C23—28no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—28no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—28no—
595C23—24no—
596C23—24no—
597C23—28no—
598C23—28no—
599C23—28no—
600C23—28no—
601C23—28no—
602C23—28no—
603C23—232no—
604C23—416no—
605C23—416no—
606C23—464no—
607C23—416no—
608C23—416no—
609C23—416no—
610C23—464no—
611C23—416no—
612C23—416no—
613C23—416no—
614C23—42no—
615C23—42no—
616C23—44no—
617C23—44no—
618C23—42no—
619C23—42no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—88no—
633C23—88no—
634C23—88no—
635C23—832no—
636C23—832no—
637C23—88no—
638C23C2×C22⋊Q818yes—
639C23C2×C22⋊Q814yes—
640C23#53214yes—
641C23#53414yes—
642C23#54318yes—
643C23#55118yes—
644C23#55418yes—
645C23C23×D411yescharacteristic
646C23C23×Q811yescharacteristic
647C23C22×#4111yescharacteristic
648C23C22×#4112yes—
649C23C2×H(5,𝔽2)12yes—
650C23C2×H(5,𝔽2)12yes—
651C23C2×H(5,𝔽2)12yes—
652C23C2×H(5,𝔽2)12yes—
653C23#58512yes—
654Q8—88no—
655D4—464no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—28no—
661C2×C4—28no—
662C2×C4—22no—
663C2×C4—24no—
664C2×C4—22no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—28no—
670C2×C4—28no—
671C2×C4—28no—
672C2×C4—416no—
673C2×C4—416no—
674C2×C4—416no—
675C2×C4—464no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
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—88no—
723C2×C4—832no—
724C2×C4—88no—
725C22—24no—
726C22—24no—
727C22—24no—
728C22—216no—
729C22—24no—
730C22—24no—
731C22—216no—
732C22—24no—
733C22—28no—
734C22—28no—
735C22—28no—
736C22—28no—
737C22—216no—
738C22—464no—
739C22—44no—
740C22—44no—
741C22—44no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—44no—
746C22—48no—
747C22—48no—
748C22—48no—
749C22—48no—
750C22—44no—
751C22—48no—
752C22—48no—
753C22—48no—
754C22—44no—
755C22—44no—
756C22—832no—
757C22#256418yes—
758C22C22×C22⋊Q811yescharacteristic
759C22C2×#53211yescharacteristic
760C22C2×#53411yescharacteristic
761C22C2×#54312yes—
762C22#345912yes—
763C22C2×#55112yes—
764C22C2×#55412yes—
765C22#348411yescharacteristic
766C22#348411yescharacteristic
767C22#348411yescharacteristic
768C22#348511yescharacteristic
769C22#349012yes—
770C22#350112yes—
771C22#351314yes—
772C22#351914yes—
773C22#353214yes—
774C22#353414yes—
775C4—44no—
776C4—44no—
777C4—48no—
778C4—44no—
779C4—42no—
780C4—42no—
781C4—82no—
782C4—82no—
783C4—82no—
784C4—82no—
785C4—84no—
786C4—82no—
787C2—28no—
788C2—48no—
789C2—48no—
790C2C2×#256411yescharacteristic
791C2#3498211yescharacteristic
792C2#3498511yescharacteristic
793C2#3539411yescharacteristic
794C2#3539511yescharacteristic
795C2#3670211yescharacteristic
796C2#3711711yescharacteristic
797C2#3809614yes—
798C2#3903614yes—
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
1. C2×#2626C2semidirect
3. #15506C2semidirect
4. #15439C2semidirect
5. #15328C2semidirect
6. #15327C2semidirect
7. #15015C2semidirect
8. #14914C2semidirect
9. #14734C2semidirect
10. #14717C2semidirect
11. #14693C2semidirect
12. #14265C2semidirect
13. #13877C2semidirect
15. #13794C2semidirect
24. C2×#399C22semidirect
25. C2×#399C22semidirect
26. C2×#396C22semidirect
27. C2×#396C22semidirect
28. C2×#393C22semidirect
29. C2×#393C22semidirect
38. C2×#385C22semidirect
39. C2×#385C22semidirect
41. C2×#380C22semidirect
47. #1446C22semidirect
48. #1445C22semidirect
49. #1445C22semidirect
50. #1444C22semidirect
51. #1443C22semidirect
52. #1443C22semidirect
53. #1442C22semidirect
54. #1442C22semidirect
55. #1441C22semidirect
56. #1441C22semidirect
57. #1439C22semidirect
58. #1439C22semidirect
59. #1439C22semidirect
60. #1439C22semidirect
61. #1439C22semidirect
62. #1439C22semidirect
72. C22⋊#95C22semidirect
73. C22⋊#95C22semidirect
74. C22⋊#95C22semidirect
75. C22⋊#95C22semidirect
76. C22⋊#95C22semidirect
84. C23×D4Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#26262
C22×#3862
#155062
#154392
#153282
#153272
#150152
#149142
#147342
#147172
#146932
#142652
#138772
#138672
#137942