Finite Group Databasebeta

← #4309147

Subgroups — #4309147

Order 512.

3418 conjugacy classes of subgroups.

The subgroup lattice has 801 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2628C211yesmaximal, characteristic, complemented
2C2×#2280C211yesmaximal, characteristic
3#16668C212yesmaximal, complemented
4#16666C212yesmaximal, complemented
5#16568C214yesmaximal, complemented
6#16520C214yesmaximal, complemented
7#16298C212yesmaximal
8#16297C212yesmaximal
9#15223C212yesmaximal, complemented
10#15220C212yesmaximal, complemented
11#15131C212yesmaximal, complemented
12#15125C212yesmaximal, complemented
13#14680C212yesmaximal
14#14340C211yesmaximal, characteristic, complemented
15#14264C212yesmaximal, complemented
16C25×C4C2211yescharacteristic
17C22×C4⋊Q8C2211yescharacteristic, complemented
18C22×#117C2211yescharacteristic
19C22×#117C2211yescharacteristic
20#2628—28no—
21C2×#400C2212yescomplemented
22C2×#399C2212yes—
23C2×#396C2214yes—
24C2×#395C2212yescomplemented
25C2×#393C2212yes—
26C2×#393C2214yes—
27C2×#389C2212yescomplemented
28C2×#389C2212yescomplemented
29C2×#389C2212yescomplemented
30C2×#384C2211yescharacteristic, complemented
31C2×#382C2211yescharacteristic, complemented
32C2×#382C2211yescharacteristic, complemented
33#2280—28no—
34C2×#381C2211yescharacteristic
35C2×#381C2211yescharacteristic
36C2×#380C2212yes—
37C2×#380C2212yes—
38C2×#380C2212yes—
39C2×#380C2212yes—
40C2×#380C2212yes—
41C2×#380C2212yes—
42C2×#380C2212yes—
43C2×#380C2212yes—
44C2×#379C2211yescharacteristic
45C2×#379C2211yescharacteristic
46C2×#379C2214yes—
47C2×C4×C22⋊C4C2212yes—
48C2×C4×C22⋊C4C2212yes—
49#1446C2214yescomplemented
50#1445C2214yescomplemented
51#1445C2214yescomplemented
52#1444C2214yescomplemented
53#1443C2214yescomplemented
54#1442C2214yescomplemented
55#1442C2214yescomplemented
56#1441C2212yescomplemented
57#1441C2212yescomplemented
58#1441C2214yescomplemented
59#1441C2214yescomplemented
60#1441C2214yescomplemented
61#1439C2212yes—
62#1439C2212yes—
63#1439C2214yes—
64#1439C2214yes—
65#1439C2214yes—
66#1439C2214yes—
67#1439C2214yes—
68#1439C2214yes—
69#1439C2214yes—
70#1439C2214yes—
71C4⋊#95C2212yescomplemented
72C4⋊#95C2212yescomplemented
73C4⋊#95C2212yescomplemented
74C22⋊#95C2214yes—
75C22⋊#95C2214yes—
76C22⋊#95C2214yes—
77C26C2311yescharacteristic
78C23×Q8C2312yes—
79C24×C4—24no—
80C24×C4—24no—
81C24×C4—42no—
82C24×C4—42no—
83C24×C4—42no—
84C24×C4—42no—
85C24×C4Q818yescomplemented
86C24×C4C2312yes—
87C24×C4C2311yescharacteristic
88C24×C4C2312yes—
89C24×C4C2311yescharacteristic
90C2×C4⋊Q8—24no—
91C2×C4⋊Q8—42no—
92C2×C4⋊Q8—42no—
93C2×#117—24no—
94C2×#117—42no—
95C2×#117—42no—
96C2×#117—42no—
97C2×#117—42no—
98C2×#117D418yes—
99C22×C4⋊C4C2312yes—
100C22×C4⋊C4C2312yes—
101C22×C4⋊C4C2312yes—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2314yes—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2312yes—
107C22×C4⋊C4C2314yes—
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2314yes—
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2311yescharacteristic
112C22×C22⋊C4C2312yes—
113C22×C22⋊C4C2312yes—
114C22×C22⋊C4C2312yes—
115C22×C22⋊C4C2312yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2311yescharacteristic
121C22×C22⋊C4C2311yescharacteristic
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2311yescharacteristic
125C22×C22⋊C4C2311yescharacteristic
126C22×C42C2312yes—
127C22×C42C2311yescharacteristic
128C22×C42C2311yescharacteristic
129#400—28no—
130#399—28no—
131#396—48no—
132#395—28no—
133#393—28no—
134#393—48no—
135#389—28no—
136#389—44no—
137#389—44no—
138#384—42no—
139#382—24no—
140#382—42no—
141#381—24no—
142#381—24no—
143#380—28no—
144#380—28no—
145#380—28no—
146#380—28no—
147#380—44no—
148#380—44no—
149#380—44no—
150#380—44no—
151#379—24no—
152#379—24no—
153#379—48no—
154C4×C22⋊C4—28no—
155C4×C22⋊C4—28no—
156C2×#95C2312yes—
157C2×#95C2314yes—
158C2×#95C2314yes—
159C2×#95C2312yes—
160C2×#95C2314yes—
161C2×#95C2312yes—
162C2×#95C2312yes—
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×#95C2312yes—
176C2×#95C2314yes—
177C2×#95C2312yes—
178C2×#95C2314yes—
179C25—22no—
180C25—22no—
181C25—24no—
182C25—24no—
183C25—41no—
184C25—41no—
185C25—41no—
186C25—41no—
187C25—42no—
188C25—42no—
189C25C2×Q814yes—
190C25C2411yescharacteristic
191C25C2412yes—
192C22×Q8—24no—
193C22×Q8—42no—
194C22×Q8—42no—
195C22×Q8—44no—
196C22×Q8—44no—
197C23×C4—22no—
198C23×C4—22no—
199C23×C4—22no—
200C23×C4—22no—
201C23×C4—22no—
202C23×C4—22no—
203C23×C4—232no—
204C23×C4—24no—
205C23×C4—24no—
206C23×C4—24no—
207C23×C4—24no—
208C23×C4—24no—
209C23×C4—24no—
210C23×C4—24no—
211C23×C4—24no—
212C23×C4—416no—
213C23×C4—416no—
214C23×C4—42no—
215C23×C4—42no—
216C23×C4—42no—
217C23×C4—42no—
218C23×C4—41no—
219C23×C4—41no—
220C23×C4—41no—
221C23×C4—41no—
222C23×C4—416no—
223C23×C4—416no—
224C23×C4—416no—
225C23×C4—416no—
226C23×C4C2×D414yes—
227C23×C4C2×Q818yes—
228C23×C4C2×Q814yes—
229C23×C4C2×Q814yes—
230C23×C4C2×Q818yes—
231C23×C4#4114yes—
232C23×C4C2414yes—
233C23×C4C2414yes—
234C23×C4C2414yes—
235C23×C4C2412yes—
236C23×C4C2412yes—
237C23×C4C2414yes—
238C23×C4C2411yescharacteristic
239C23×C4C2411yescharacteristic
240C23×C4C2411yescharacteristic
241C23×C4C2411yescharacteristic
242C23×C4C2412yes—
243C23×C4C2411yescharacteristic
244C23×C4C2411yescharacteristic
245C4⋊Q8—416no—
246#117—416no—
247#117—416no—
248C2×C4⋊C4—24no—
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—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—28no—
263C2×C4⋊C4—41no—
264C2×C4⋊C4—41no—
265C2×C4⋊C4—41no—
266C2×C4⋊C4—41no—
267C2×C4⋊C4—42no—
268C2×C4⋊C4—42no—
269C2×C4⋊C4—42no—
270C2×C4⋊C4—42no—
271C2×C4⋊C4—44no—
272C2×C4⋊C4—44no—
273C2×C4⋊C4—44no—
274C2×C4⋊C4—44no—
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×C4⋊C4—44no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4C2×D414yes—
284C2×C4⋊C4C2×D414yes—
285C2×C22⋊C4—22no—
286C2×C22⋊C4—22no—
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—28no—
296C2×C22⋊C4—28no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—28no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—42no—
302C2×C22⋊C4—42no—
303C2×C22⋊C4—42no—
304C2×C22⋊C4—42no—
305C2×C22⋊C4—41no—
306C2×C22⋊C4—41no—
307C2×C22⋊C4—41no—
308C2×C22⋊C4—41no—
309C2×C22⋊C4—41no—
310C2×C22⋊C4—41no—
311C2×C22⋊C4—41no—
312C2×C22⋊C4—41no—
313C2×C22⋊C4—44no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4C2×D414yes—
326C2×C22⋊C4C2×D414yes—
327C2×C42—22no—
328C2×C42—22no—
329C2×C42—22no—
330C2×C42—22no—
331C2×C42—24no—
332C2×C42—24no—
333C2×C42—24no—
334C2×C42C2×D414yes—
335C2×C42C2×D414yes—
336#95—24no—
337#95—24no—
338#95—24no—
339#95—24no—
340#95—28no—
341#95—24no—
342#95—24no—
343#95—28no—
344#95—28no—
345#95—44no—
346#95—44no—
347#95—44no—
348#95—44no—
349#95—44no—
350#95—44no—
351#95—42no—
352#95—42no—
353#95—44no—
354#95—44no—
355#95—44no—
356#95—44no—
357#95—44no—
358#95—44no—
359C24—22no—
360C24—22no—
361C24—22no—
362C24—22no—
363C24—21no—
364C24—21no—
365C24—21no—
366C24—21no—
367C24—22no—
368C24—22no—
369C24—22no—
370C24—22no—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—28no—
380C24—216no—
381C24—44no—
382C24—44no—
383C24—48no—
384C24—48no—
385C24—48no—
386C24—48no—
387C24—48no—
388C24—48no—
389C24—44no—
390C24—44no—
391C24—44no—
392C24—44no—
393C24—44no—
394C24—44no—
395C24—48no—
396C24—48no—
397C24—48no—
398C24—48no—
399C24—44no—
400C24—48no—
401C24—44no—
402C24C22×D412yes—
403C24C22×Q812yes—
404C24C22×Q814yes—
405C24C2×#4112yes—
406C24H(5,𝔽2)14yes—
407C242−1+414yes—
408C24C2511yescharacteristic
409C2×Q8—48no—
410C2×Q8—88no—
411C2×Q8—84no—
412C2×Q8—84no—
413C2×Q8—88no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—28no—
419C22×C4—28no—
420C22×C4—28no—
421C22×C4—28no—
422C22×C4—28no—
423C22×C4—28no—
424C22×C4—28no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—216no—
448C22×C4—216no—
449C22×C4—216no—
450C22×C4—216no—
451C22×C4—24no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—48no—
494C22×C4—48no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—4128no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4C22⋊Q8116yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×Q814yes—
518C22×C4C22×Q812yes—
519C22×C4C22×Q812yes—
520C22×C4C2×#4112yes—
521C22×C4C2×#4112yes—
522C22×C4H(5,𝔽2)12yes—
523C22×C4H(5,𝔽2)12yes—
524C22×C4H(5,𝔽2)12yes—
525C22×C4H(5,𝔽2)12yes—
526C4⋊C4—44no—
527C4⋊C4—44no—
528C4⋊C4—48no—
529C4⋊C4—48no—
530C4⋊C4—48no—
531C4⋊C4—48no—
532C4⋊C4—48no—
533C4⋊C4—48no—
534C4⋊C4—88no—
535C4⋊C4—84no—
536C4⋊C4—84no—
537C4⋊C4—88no—
538C4⋊C4—88no—
539C22⋊C4—44no—
540C22⋊C4—44no—
541C22⋊C4—48no—
542C22⋊C4—48no—
543C22⋊C4—48no—
544C22⋊C4—48no—
545C22⋊C4—44no—
546C22⋊C4—44no—
547C22⋊C4—88no—
548C22⋊C4—88no—
549C22⋊C4—88no—
550C22⋊C4—88no—
551C22⋊C4—88no—
552C22⋊C4—88no—
553C42—28no—
554C42—28no—
555C42—48no—
556C23—24no—
557C23—22no—
558C23—22no—
559C23—22no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—22no—
564C23—22no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—416no—
587C23—432no—
588C23—416no—
589C23—432no—
590C23—416no—
591C23—416no—
592C23—416no—
593C23—432no—
594C23—432no—
595C23—416no—
596C23—416no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—41no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23C2×C22⋊Q814yes—
624C23#54418yes—
625C23C23×D411yescharacteristic
626C23C23×Q811yescharacteristic
627C23C22×#4111yescharacteristic
628C23C2×H(5,𝔽2)11yescharacteristic
629C23C2×H(5,𝔽2)11yescharacteristic
630C23C2×H(5,𝔽2)11yescharacteristic
631C23C2×H(5,𝔽2)11yescharacteristic
632C23C2×H(5,𝔽2)12yes—
633C23C2×2−1+412yes—
634C23#58512yes—
635C23#58512yes—
636Q8—816no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—232no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—432no—
656C2×C4—416no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—432no—
674C2×C4—44no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—44no—
716C2×C4C2×C22⋊Q814yes—
717C2×C4C2×C22⋊Q814yes—
718C2×C4#53414yes—
719C2×C4#53514yes—
720C2×C4#53814yes—
721C2×C4#53814yes—
722C2×C4#54314yes—
723C2×C4#54314yes—
724C22—28no—
725C22—28no—
726C22—28no—
727C22—28no—
728C22—24no—
729C22—464no—
730C22—42no—
731C22—44no—
732C22—44no—
733C22—44no—
734C22—42no—
735C22—44no—
736C22—42no—
737C22—42no—
738C22—44no—
739C22—44no—
740C22—44no—
741C22—44no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—42no—
746C22—44no—
747C22—44no—
748C22—44no—
749C22—42no—
750C22—44no—
751C22C22×C22⋊Q811yescharacteristic
752C22C2×#53411yescharacteristic
753C22C2×#53511yescharacteristic
754C22C2×#53811yescharacteristic
755C22C2×#53811yescharacteristic
756C22C2×#54311yescharacteristic
757C22C2×#54311yescharacteristic
758C22C2×#54412yes—
759C22#345812yes—
760C22#348812yes—
761C22#348912yes—
762C22#349412yes—
763C22#349512yes—
764C22#353612yes—
765C22#353711yescharacteristic
766C22#353811yescharacteristic
767C22#354011yescharacteristic
768C22#354012yes—
769C22#354011yescharacteristic
770C22#354112yes—
771C22#354112yes—
772C22#354212yes—
773C22#354212yes—
774C4—24no—
775C4—42no—
776C4—42no—
777C4—44no—
778C4—42no—
779C4—42no—
780C4—84no—
781C4—82no—
782C4—82no—
783C4—84no—
784C4—84no—
785C4—84no—
786C4#262618yes—
787C2—48no—
788C2—44no—
789C2C2×#262611yescharacteristic
790C2#3525312yes—
791C2#3726911yescharacteristic
792C2#3727112yes—
793C2#3728212yes—
794C2#3728411yescharacteristic
795C2#3737411yescharacteristic
796C2#3738111yescharacteristic
797C2#3747612yes—
798C2#3747711yescharacteristic
799C2#3748011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC26C23
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×#2628C2semidirect
3. #16668C2semidirect
4. #16666C2semidirect
5. #16568C2semidirect
6. #16520C2semidirect
9. #15223C2semidirect
10. #15220C2semidirect
11. #15131C2semidirect
12. #15125C2semidirect
14. #14340C2semidirect
15. #14264C2semidirect
17. C22×C4⋊Q8C22semidirect
21. C2×#400C22semidirect
24. C2×#395C22semidirect
27. C2×#389C22semidirect
28. C2×#389C22semidirect
29. C2×#389C22semidirect
30. C2×#384C22semidirect
31. C2×#382C22semidirect
32. C2×#382C22semidirect
49. #1446C22semidirect
50. #1445C22semidirect
51. #1445C22semidirect
52. #1444C22semidirect
53. #1443C22semidirect
54. #1442C22semidirect
55. #1442C22semidirect
56. #1441C22semidirect
57. #1441C22semidirect
58. #1441C22semidirect
59. #1441C22semidirect
60. #1441C22semidirect
71. C4⋊#95C22semidirect
72. C4⋊#95C22semidirect
73. C4⋊#95C22semidirect
85. C24×C4Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#26282
C2×#22802
#166682
#166662
#165682
#165202
#162982
#162972
#152232
#152202
#151312
#151252
#146802
#143402
#142642