Finite Group Databasebeta

← #772876

Subgroups — #772876

Order 512.

4542 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2580C212yesmaximal, complemented
2C2×D4×C22⋊C4C212yesmaximal
3#16297C212yesmaximal, complemented
4#15961C212yesmaximal, complemented
5#15506C212yesmaximal, complemented
6#15327C214yesmaximal, complemented
7#15220C212yesmaximal, complemented
8#15135C211yesmaximal, characteristic, complemented
9#14734C214yesmaximal, complemented
10#14127C212yesmaximal, complemented
11#13979C212yesmaximal, complemented
12#13977C212yesmaximal, complemented
13#13920C212yesmaximal, complemented
14#13902C211yesmaximal, characteristic
15C4×#393C211yesmaximal, characteristic, complemented
16C24×D4C2211yescharacteristic
17C22×C4×Q8C2211yescharacteristic, complemented
18C22×C4×D4C2212yes—
19C22×C4×D4C2212yes—
20C23×C22⋊C4C2214yes—
21#2580—216no—
22C2×#399C2212yes—
23C2×#399C2214yescomplemented
24C2×#393C2211yescharacteristic
25C2×#393C2214yescomplemented
26D4×C22⋊C4—216no—
27C2×#390C2212yes—
28C2×#390C2212yes—
29C2×#390C2212yes—
30C2×#390C2212yes—
31C2×#389C2212yescomplemented
32C2×#389C2212yescomplemented
33C2×#389C2212yescomplemented
34C2×#386C2214yes—
35C2×#386C2214yes—
36C2×#385C2214yescomplemented
37C2×#385C2214yescomplemented
38C2×#385C2214yescomplemented
39C2×#385C2214yescomplemented
40C2×#384C2211yescharacteristic, complemented
41C2×#382C2212yescomplemented
42C2×#380C2212yes—
43C2×#380C2211yescharacteristic
44C2×#380C2214yescomplemented
45C2×#379C2212yes—
46C2×#379C2214yes—
47C2×#379C2212yes—
48C2×C4×C22⋊C4C2212yes—
49C2×C4×C22⋊C4C2211yescharacteristic
50#1446C2211yescharacteristic, complemented
51#1445C2212yescomplemented
52#1444C2212yescomplemented
53#1443C2214yescomplemented
54#1442C2211yescharacteristic, complemented
55#1442C2212yescomplemented
56#1441C2214yescomplemented
57#1439C2212yes—
58#1439C2211yescharacteristic
59#1439C2212yes—
60#1439C2214yes—
61#1439C2214yes—
62#1439C2214yescomplemented
63#1439C2214yescomplemented
64#1439C2214yescomplemented
65#1439C2214yescomplemented
66#1439C2214yescomplemented
67#1439C2214yescomplemented
68#1438C2212yes—
69#1438C2212yes—
70C4⋊#95C2211yescharacteristic, complemented
71C4⋊#95C2212yescomplemented
72C22⋊#95C2214yescomplemented
73C22⋊#95C2214yescomplemented
74C22⋊#95C2214yescomplemented
75C4×#95C2211yescharacteristic, complemented
76C4×#95C2212yescomplemented
77C26C2312yes—
78C23×Q8C2311yescharacteristic
79C23×D4—28no—
80C23×D4—28no—
81C23×D4—42no—
82C23×D4—42no—
83C23×D4Q818yescomplemented
84C23×D4C2312yes—
85C23×D4C2312yes—
86C24×C4C2311yescharacteristic
87C24×C4C2314yes—
88C24×C4C2314yes—
89C2×C4×Q8—28no—
90C2×C4×Q8—42no—
91C2×C4×D4—28no—
92C2×C4×D4—28no—
93C2×C4×D4—28no—
94C2×C4×D4—28no—
95C2×C4×D4—44no—
96C2×C4×D4—44no—
97C22×C4⋊C4C2312yes—
98C22×C4⋊C4C2312yes—
99C22×C4⋊C4C2312yes—
100C22×C4⋊C4C2311yescharacteristic
101C22×C4⋊C4C2312yes—
102C22×C4⋊C4C2314yes—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2314yes—
105C22×C4⋊C4C2314yes—
106C22×C4⋊C4C2312yes—
107C22×C22⋊C4—216no—
108C22×C22⋊C4—48no—
109C22×C22⋊C4—48no—
110C22×C22⋊C4C2312yes—
111C22×C22⋊C4C2312yes—
112C22×C22⋊C4C2314yes—
113C22×C22⋊C4C2314yes—
114C22×C22⋊C4C2311yescharacteristic
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2314yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2311yescharacteristic
126C22×C42C2312yes—
127C22×C42C2311yescharacteristic
128C22×C42C2311yescharacteristic
129C22×C42C2312yes—
130#399—216no—
131#399—44no—
132#393—216no—
133#393—24no—
134#390—28no—
135#390—28no—
136#390—28no—
137#390D4116yes—
138#389—28no—
139#389—28no—
140#389—44no—
141#386—216no—
142#386—216no—
143#385—216no—
144#385—216no—
145#385—48no—
146#385—48no—
147#384—42no—
148#382—28no—
149#380—28no—
150#380—48no—
151#380—42no—
152#379—216no—
153#379—28no—
154#379—44no—
155C4×C22⋊C4—28no—
156C4×C22⋊C4—42no—
157C2×#95C2311yescharacteristic
158C2×#95C2312yes—
159C2×#95C2314yes—
160C2×#95C2314yes—
161C2×#95C2314yes—
162C2×#95C2312yes—
163C2×#95C2312yes—
164C2×#95C2312yes—
165C2×#95C2314yes—
166C2×#95C2314yes—
167C2×#95C2312yes—
168C2×#95C2314yes—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C2×#95C2311yescharacteristic
172C2×#95C2312yes—
173C2×#95C2314yes—
174C2×#95C2312yes—
175C2×#95C2314yes—
176C2×#95C2312yes—
177C2×#95C2311yescharacteristic
178C2×#95C2311yescharacteristic
179C25—28no—
180C25—28no—
181C25—24no—
182C25—24no—
183C25—44no—
184C25—42no—
185C25—42no—
186C25—44no—
187C25—42no—
188C25—42no—
189C25C2×Q818yes—
190C25C2414yes—
191C25C2411yescharacteristic
192C22×Q8—24no—
193C22×Q8—22no—
194C22×Q8—41no—
195C22×Q8—42no—
196C22×Q8—41no—
197C22×D4—28no—
198C22×D4—28no—
199C22×D4—264no—
200C22×D4—24no—
201C22×D4—24no—
202C22×D4—24no—
203C22×D4—24no—
204C22×D4—416no—
205C22×D4—42no—
206C22×D4—42no—
207C22×D4—416no—
208C22×D4—432no—
209C22×D4—416no—
210C22×D4C2×D418yes—
211C22×D4C2×Q818yes—
212C22×D4C2×Q818yes—
213C22×D4#4118yes—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—28no—
219C23×C4—28no—
220C23×C4—28no—
221C23×C4—28no—
222C23×C4—28no—
223C23×C4—44no—
224C23×C4—44no—
225C23×C4—44no—
226C23×C4—44no—
227C23×C4—44no—
228C23×C4—44no—
229C23×C4—44no—
230C23×C4—44no—
231C23×C4—44no—
232C23×C4C2×Q814yes—
233C23×C4C2411yescharacteristic
234C23×C4C2414yes—
235C23×C4C2412yes—
236C23×C4C2414yes—
237C23×C4C2412yes—
238C23×C4C2414yes—
239C23×C4C2412yes—
240C23×C4C2411yescharacteristic
241C23×C4C2411yescharacteristic
242C23×C4C2411yescharacteristic
243C23×C4C2411yescharacteristic
244C23×C4C2412yes—
245C23×C4C2411yescharacteristic
246C4×Q8—416no—
247C4×D4—432no—
248C4×D4—432no—
249C2×C4⋊C4—24no—
250C2×C4⋊C4—24no—
251C2×C4⋊C4—24no—
252C2×C4⋊C4—24no—
253C2×C4⋊C4—24no—
254C2×C4⋊C4—24no—
255C2×C4⋊C4—24no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—28no—
261C2×C4⋊C4—28no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—41no—
264C2×C4⋊C4—42no—
265C2×C4⋊C4—44no—
266C2×C4⋊C4—44no—
267C2×C4⋊C4—44no—
268C2×C4⋊C4—42no—
269C2×C4⋊C4—42no—
270C2×C4⋊C4—44no—
271C2×C4⋊C4—44no—
272C2×C4⋊C4—44no—
273C2×C4⋊C4—44no—
274C2×C4⋊C4—42no—
275C2×C4⋊C4—44no—
276C2×C4⋊C4C2×D418yes—
277C2×C22⋊C4—24no—
278C2×C22⋊C4—24no—
279C2×C22⋊C4—24no—
280C2×C22⋊C4—28no—
281C2×C22⋊C4—28no—
282C2×C22⋊C4—28no—
283C2×C22⋊C4—28no—
284C2×C22⋊C4—28no—
285C2×C22⋊C4—28no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—28no—
288C2×C22⋊C4—22no—
289C2×C22⋊C4—28no—
290C2×C22⋊C4—28no—
291C2×C22⋊C4—28no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—28no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—28no—
296C2×C22⋊C4—22no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—28no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—464no—
302C2×C22⋊C4—44no—
303C2×C22⋊C4—44no—
304C2×C22⋊C4—44no—
305C2×C22⋊C4—44no—
306C2×C22⋊C4—44no—
307C2×C22⋊C4—44no—
308C2×C22⋊C4—41no—
309C2×C22⋊C4—44no—
310C2×C22⋊C4—42no—
311C2×C22⋊C4—44no—
312C2×C22⋊C4—44no—
313C2×C22⋊C4—44no—
314C2×C22⋊C4—41no—
315C2×C22⋊C4—41no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—42no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—42no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4C2×D4116yes—
324C2×C22⋊C4C2×D4116yes—
325C2×C22⋊C4#4114yes—
326C2×C42—24no—
327C2×C42—24no—
328C2×C42—24no—
329C2×C42—24no—
330C2×C42—24no—
331C2×C42—24no—
332C2×C42—24no—
333C2×C42—22no—
334C2×C42—22no—
335C2×C42C2×D418yes—
336#95—24no—
337#95—24no—
338#95—28no—
339#95—28no—
340#95—28no—
341#95—28no—
342#95—28no—
343#95—24no—
344#95—22no—
345#95—24no—
346#95—28no—
347#95—24no—
348#95—24no—
349#95—42no—
350#95—42no—
351#95—41no—
352#95—41no—
353#95—41no—
354#95—42no—
355#95—44no—
356#95—44no—
357#95—42no—
358C24—22no—
359C24—24no—
360C24—24no—
361C24—22no—
362C24—24no—
363C24—24no—
364C24—24no—
365C24—22no—
366C24—21no—
367C24—24no—
368C24—21no—
369C24—21no—
370C24—24no—
371C24—24no—
372C24—24no—
373C24—24no—
374C24—24no—
375C24—24no—
376C24—22no—
377C24—21no—
378C24—232no—
379C24—216no—
380C24—48no—
381C24—416no—
382C24—48no—
383C24—416no—
384C24—48no—
385C24—416no—
386C24—48no—
387C24—416no—
388C24—416no—
389C24—416no—
390C24—88no—
391C24—88no—
392C24—84no—
393C24—84no—
394C24—88no—
395C24—88no—
396C24—84no—
397C24—84no—
398C24—84no—
399C24—84no—
400C24—88no—
401C24C22×D418yes—
402C24C22×Q818yes—
403C24C22×Q812yes—
404C24C2×#4118yes—
405C24C2×#4112yes—
406C24H(5,𝔽2)12yes—
407C24C2511yescharacteristic
408C2×Q8—44no—
409C2×Q8—48no—
410C2×Q8—48no—
411C2×Q8—44no—
412C2×Q8—44no—
413C2×D4—232no—
414C2×D4—216no—
415C2×D4—216no—
416C2×D4—216no—
417C2×D4—216no—
418C2×D4—216no—
419C2×D4—216no—
420C2×D4—48no—
421C2×D4—4128no—
422C2×D4—48no—
423C2×D4—416no—
424C2×D4—48no—
425C2×D4C22⋊Q8132yes—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—24no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—24no—
448C22×C4—24no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—21no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—216no—
467C22×C4—28no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—21no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—21no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—416no—
495C22×C4—416no—
496C22×C4—416no—
497C22×C4—416no—
498C22×C4—416no—
499C22×C4—44no—
500C22×C4—48no—
501C22×C4—44no—
502C22×C4—88no—
503C22×C4—88no—
504C22×C4—88no—
505C22×C4—88no—
506C22×C4—88no—
507C22×C4—88no—
508C22×C4—88no—
509C22×C4—88no—
510C22×C4—88no—
511C22×C4C22×D418yes—
512C22×C4C22×D414yes—
513C22×C4C22×D414yes—
514C22×C4C22×D414yes—
515C22×C4C22×Q812yes—
516C22×C4C22×Q812yes—
517C22×C4C2×#4112yes—
518C22×C4C2×#4112yes—
519C22×C4C2×#4114yes—
520C22×C4H(5,𝔽2)14yes—
521C22×C4H(5,𝔽2)12yes—
522C22×C4H(5,𝔽2)12yes—
523C22×C4H(5,𝔽2)12yes—
524C4⋊C4—216no—
525C4⋊C4—48no—
526C4⋊C4—44no—
527C4⋊C4—48no—
528C4⋊C4—48no—
529C4⋊C4—88no—
530C4⋊C4—88no—
531C4⋊C4—84no—
532C4⋊C4—84no—
533C4⋊C4—88no—
534C22⋊C4—216no—
535C22⋊C4—416no—
536C22⋊C4—416no—
537C22⋊C4—44no—
538C22⋊C4—416no—
539C22⋊C4—48no—
540C22⋊C4—416no—
541C22⋊C4—416no—
542C22⋊C4—44no—
543C22⋊C4—416no—
544C22⋊C4—416no—
545C22⋊C4—416no—
546C22⋊C4—416no—
547C22⋊C4—88no—
548C22⋊C4—88no—
549C22⋊C4—84no—
550C42—216no—
551C42—44no—
552C42—48no—
553C42—44no—
554C23—24no—
555C23—28no—
556C23—22no—
557C23—28no—
558C23—28no—
559C23—28no—
560C23—28no—
561C23—24no—
562C23—28no—
563C23—28no—
564C23—28no—
565C23—28no—
566C23—24no—
567C23—24no—
568C23—28no—
569C23—28no—
570C23—28no—
571C23—22no—
572C23—24no—
573C23—28no—
574C23—28no—
575C23—28no—
576C23—22no—
577C23—22no—
578C23—28no—
579C23—28no—
580C23—28no—
581C23—24no—
582C23—22no—
583C23—22no—
584C23—432no—
585C23—464no—
586C23—41no—
587C23—42no—
588C23—44no—
589C23—41no—
590C23—44no—
591C23—44no—
592C23—44no—
593C23—42no—
594C23—44no—
595C23—42no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—42no—
602C23—42no—
603C23—44no—
604C23—44no—
605C23—41no—
606C23—44no—
607C23—41no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—42no—
612C23—816no—
613C23—832no—
614C23—832no—
615C23—816no—
616C23—816no—
617C23—816no—
618C23—832no—
619C23—816no—
620C23—816no—
621C23C2×C22⋊Q8116yes—
622C23#55414yes—
623C23C23×D412yes—
624C23C23×Q811yescharacteristic
625C23C22×#4112yes—
626C23C22×#4111yescharacteristic
627C23C2×H(5,𝔽2)11yescharacteristic
628C23C2×H(5,𝔽2)11yescharacteristic
629C23C2×H(5,𝔽2)11yescharacteristic
630C23C2×H(5,𝔽2)12yes—
631C23C2×H(5,𝔽2)11yescharacteristic
632C23#58512yes—
633C23#58511yescharacteristic
634Q8—416no—
635D4—264no—
636D4—432no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—28no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—28no—
648C2×C4—24no—
649C2×C4—28no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—416no—
686C2×C4—41no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—44no—
693C2×C4—42no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—42no—
706C2×C4—41no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—41no—
710C2×C4—42no—
711C2×C4—44no—
712C2×C4—832no—
713C2×C4—832no—
714C2×C4C2×C22⋊Q818yes—
715C2×C4#54314yes—
716C2×C4D4214yes—
717C2×C4#54618yes—
718C2×C4#55114yes—
719C22—24no—
720C22—216no—
721C22—28no—
722C22—216no—
723C22—216no—
724C22—48no—
725C22—48no—
726C22—44no—
727C22—48no—
728C22—42no—
729C22—48no—
730C22—42no—
731C22—48no—
732C22—42no—
733C22—48no—
734C22—48no—
735C22—48no—
736C22—44no—
737C22—42no—
738C22—48no—
739C22—48no—
740C22—42no—
741C22—48no—
742C22—42no—
743C22—48no—
744C22—44no—
745C22—864no—
746C22C22×C22⋊Q812yes—
747C22C2×#54311yescharacteristic
748C22C2×D4211yescharacteristic
749C22C2×#54612yes—
750C22D4×#4112yes—
751C22C2×#55111yescharacteristic
752C22C2×#55411yescharacteristic
753C22#348112yes—
754C22#348412yes—
755C22#348512yes—
756C22#349812yes—
757C22#350111yescharacteristic
758C22#350112yes—
759C22#350511yescharacteristic
760C22#350811yescharacteristic
761C22#351312yes—
762C22#351312yes—
763C22#351312yes—
764C22#353711yescharacteristic
765C22#354011yescharacteristic
766C22#354911yescharacteristic
767C22#355812yes—
768C22#355811yescharacteristic
769C4—42no—
770C4—42no—
771C4—44no—
772C4—48no—
773C4—44no—
774C4—42no—
775C4—44no—
776C4—42no—
777C4—82no—
778C4—84no—
779C4—81no—
780C4—84no—
781C4#243718yes—
782C2—416no—
783C2—44no—
784C2C2×#243711yescharacteristic
785C2#3583612yes—
786C2#3621512yes—
787C2#3949511yescharacteristic
788C2#4248711yescharacteristic
789C2#4487011yescharacteristic
790C2#4514012yes—
791C2#4538011yescharacteristic
792C2#5900011yescharacteristic
793C2#5941412yes—
794C2#5994511yescharacteristic
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×#2580C2semidirect
3. #16297C2semidirect
4. #15961C2semidirect
5. #15506C2semidirect
6. #15327C2semidirect
7. #15220C2semidirect
8. #15135C2semidirect
9. #14734C2semidirect
10. #14127C2semidirect
11. #13979C2semidirect
12. #13977C2semidirect
13. #13920C2semidirect
15. C4×#393C2semidirect
17. C22×C4×Q8C22semidirect
23. C2×#399C22semidirect
25. C2×#393C22semidirect
31. C2×#389C22semidirect
32. C2×#389C22semidirect
33. C2×#389C22semidirect
36. C2×#385C22semidirect
37. C2×#385C22semidirect
38. C2×#385C22semidirect
39. C2×#385C22semidirect
40. C2×#384C22semidirect
41. C2×#382C22semidirect
44. C2×#380C22semidirect
50. #1446C22semidirect
51. #1445C22semidirect
52. #1444C22semidirect
53. #1443C22semidirect
54. #1442C22semidirect
55. #1442C22semidirect
56. #1441C22semidirect
62. #1439C22semidirect
63. #1439C22semidirect
64. #1439C22semidirect
65. #1439C22semidirect
66. #1439C22semidirect
67. #1439C22semidirect
70. C4⋊#95C22semidirect
71. C4⋊#95C22semidirect
72. C22⋊#95C22semidirect
73. C22⋊#95C22semidirect
74. C22⋊#95C22semidirect
75. C4×#95C22semidirect
76. C4×#95C22semidirect
83. C23×D4Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#25802
C2×D4×C22⋊C42
#162972
#159612
#155062
#153272
#152202
#151352
#147342
#141272
#139792
#139772
#139202
#139022
C4×#3932