Finite Group Databasebeta

← #686593

Subgroups — #686593

Order 512.

5066 conjugacy classes of subgroups.

The subgroup lattice has 808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#536C211yesmaximal, characteristic
2C2×#2429C212yesmaximal, complemented
3C2×#2434C211yesmaximal, characteristic, complemented
4C2×#2616C211yesmaximal, characteristic
5C2×Q8×C22⋊C4C211yesmaximal, characteristic, complemented
6#16257C214yesmaximal, complemented
7#15321C214yesmaximal, complemented
8#15318C214yesmaximal, complemented
9#15179C212yesmaximal, complemented
10#15178C212yesmaximal, complemented
11#14761C214yesmaximal, complemented
12#14138C211yesmaximal, characteristic, complemented
13#14129C211yesmaximal, characteristic, complemented
14#13969C212yesmaximal, complemented
15#13851C211yesmaximal, characteristic
16C23×#41C2211yescharacteristic
17C24×Q8C2211yescharacteristic
18C2×#536—28no—
19C2×#536—216no—
20C22×C4⋊Q8C2211yescharacteristic
21C22×C4⋊Q8C2212yes—
22C22×C4⋊Q8C2211yescharacteristic
23C22×#124C2212yes—
24C22×#123C2214yes—
25C22×C22⋊Q8C2211yescharacteristic
26C22×C22⋊Q8C2212yes—
27C22×C22⋊Q8C2212yes—
28C22×C22⋊Q8C2212yes—
29C22×C4×Q8C2212yes—
30C22×#117C2211yescharacteristic
31#2616—28no—
32#2434—28no—
33#2429—216no—
34C2×#398C2214yes—
35C2×#396C2214yes—
36C2×#395C2212yes—
37C2×#395C2214yes—
38C2×#394C2214yes—
39C2×#394C2212yes—
40Q8×C22⋊C4—28no—
41C2×#391C2212yes—
42C2×#391C2214yes—
43C2×#391C2212yes—
44C2×#391C2211yescharacteristic
45C2×#391C2211yescharacteristic
46C2×#389C2212yes—
47C2×#389C2214yes—
48C2×#388C2214yes—
49C2×#385C2214yes—
50C2×#380C2212yes—
51C2×#380C2212yes—
52C2×#380C2211yescharacteristic
53C2×C4×C22⋊C4C2211yescharacteristic
54C2×C4×C22⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4C2212yes—
56C2×C4×C22⋊C4C2212yes—
57C2×C4×C22⋊C4C2212yes—
58#1446C2212yes—
59#1444C2214yes—
60#1444C2214yes—
61#1442C2214yes—
62#1441C2214yes—
63#1441C2214yes—
64#1440C2212yes—
65#1440C2212yes—
66#1440C2214yes—
67#1439C2214yes—
68#1439C2214yes—
69#1439C2214yes—
70#1439C2214yes—
71#1439C2214yes—
72#1438C2212yes—
73#1438C2212yes—
74#1438C2212yes—
75#1437C2214yes—
76#1436C2214yes—
77#1436C2214yes—
78#1436C2214yes—
79C4⋊#95C2212yes—
80C4⋊#95C2212yes—
81C22×#41—28no—
82C22×#41—24no—
83C22×#41—24no—
84C22×#41—24no—
85C22×#41—44no—
86C23×Q8—28no—
87C23×Q8—24no—
88C23×Q8—24no—
89C23×Q8—44no—
90C23×Q8D418yes—
91C23×Q8C2311yescharacteristic
92C23×Q8C2311yescharacteristic
93C23×Q8C2311yescharacteristic
94C23×Q8C2312yes—
95C23×Q8C2311yescharacteristic
96C23×D4C2312yes—
97C23×D4C2311yescharacteristic
98C24×C4C2312yes—
99C24×C4C2312yes—
100C24×C4C2311yescharacteristic
101#536—2128no—
102C2×C4⋊Q8—28no—
103C2×C4⋊Q8—28no—
104C2×C4⋊Q8—24no—
105C2×C4⋊Q8—24no—
106C2×C4⋊Q8—216no—
107C2×C4⋊Q8—44no—
108C2×#124—28no—
109C2×#124—216no—
110C2×#123—216no—
111C2×#123—216no—
112C2×#123—216no—
113C2×C22⋊Q8—28no—
114C2×C22⋊Q8—28no—
115C2×C22⋊Q8—28no—
116C2×C22⋊Q8—28no—
117C2×C22⋊Q8—24no—
118C2×C22⋊Q8—28no—
119C2×C22⋊Q8—24no—
120C2×C22⋊Q8—24no—
121C2×C22⋊Q8—28no—
122C2×C22⋊Q8—28no—
123C2×C22⋊Q8—44no—
124C2×C22⋊Q8D4116yes—
125C2×C4×Q8—28no—
126C2×C4×Q8—28no—
127C2×C4×Q8—44no—
128C2×#117—24no—
129C2×#117—28no—
130C22×C4⋊C4C2312yes—
131C22×C4⋊C4C2314yes—
132C22×C4⋊C4C2314yes—
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2314yes—
135C22×C4⋊C4C2314yes—
136C22×C4⋊C4C2314yes—
137C22×C4⋊C4C2314yes—
138C22×C4⋊C4C2312yes—
139C22×C4⋊C4C2312yes—
140C22×C4⋊C4C2314yes—
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2312yes—
143C22×C22⋊C4C2314yes—
144C22×C22⋊C4C2312yes—
145C22×C22⋊C4C2312yes—
146C22×C22⋊C4C2311yescharacteristic
147C22×C22⋊C4C2314yes—
148C22×C22⋊C4C2312yes—
149C22×C22⋊C4C2312yes—
150C22×C22⋊C4C2314yes—
151C22×C22⋊C4C2314yes—
152C22×C22⋊C4C2312yes—
153C22×C22⋊C4C2311yescharacteristic
154C22×C22⋊C4C2312yes—
155C22×C42C2312yes—
156C22×C42C2312yes—
157C22×C42C2311yescharacteristic
158C22×C42C2311yescharacteristic
159C22×C42C2314yes—
160#398—216no—
161#396—216no—
162#395—216no—
163#395—28no—
164#394—216no—
165#394—28no—
166#391—24no—
167#391—24no—
168#391—28no—
169#391—28no—
170#391—216no—
171#389—216no—
172#389—28no—
173#388—216no—
174#385—216no—
175#380—28no—
176#380—28no—
177#380D418yes—
178C4×C22⋊C4—24no—
179C4×C22⋊C4—28no—
180C4×C22⋊C4—24no—
181C4×C22⋊C4—28no—
182C4×C22⋊C4—44no—
183C2×#95C2314yes—
184C2×#95C2312yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2312yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2314yes—
192C2×#95C2312yes—
193C2×#95C2314yes—
194C2×#95C2312yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2312yes—
200C2×#95C2312yes—
201C2×#95C2312yes—
202C25C2412yes—
203C25C2411yescharacteristic
204C2×#41—232no—
205C2×#41—432no—
206C2×#41—432no—
207C2×#41—416no—
208C2×#41—416no—
209C22×Q8—232no—
210C22×Q8—232no—
211C22×Q8—22no—
212C22×Q8—24no—
213C22×Q8—28no—
214C22×Q8—24no—
215C22×Q8—22no—
216C22×Q8—24no—
217C22×Q8—22no—
218C22×Q8—22no—
219C22×Q8—22no—
220C22×Q8—24no—
221C22×Q8—22no—
222C22×Q8—22no—
223C22×Q8—24no—
224C22×Q8—22no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—24no—
228C22×Q8—24no—
229C22×Q8—24no—
230C22×Q8—44no—
231C22×Q8—42no—
232C22×Q8—416no—
233C22×Q8—432no—
234C22×Q8—432no—
235C22×Q8C2×D414yes—
236C22×Q8C2×D418yes—
237C22×Q8C2×D418yes—
238C22×Q8C2×D414yes—
239C22×D4—24no—
240C22×D4—24no—
241C22×D4—24no—
242C22×D4—24no—
243C22×D4—24no—
244C22×D4—24no—
245C22×D4—22no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—42no—
249C22×D4—42no—
250C22×D4—42no—
251C23×C4—24no—
252C23×C4—24no—
253C23×C4—24no—
254C23×C4—24no—
255C23×C4—24no—
256C23×C4—24no—
257C23×C4—24no—
258C23×C4—28no—
259C23×C4—24no—
260C23×C4—24no—
261C23×C4—24no—
262C23×C4—44no—
263C23×C4C2×D418yes—
264C23×C4C2×D418yes—
265C23×C4C2×D414yes—
266C23×C4C2×D414yes—
267C23×C4#4114yes—
268C23×C4C2412yes—
269C23×C4C2412yes—
270C23×C4C2412yes—
271C23×C4C2414yes—
272C23×C4C2414yes—
273C23×C4C2412yes—
274C23×C4C2412yes—
275C23×C4C2412yes—
276C23×C4C2412yes—
277C23×C4C2412yes—
278C23×C4C2412yes—
279C23×C4C2411yescharacteristic
280C23×C4C2411yescharacteristic
281C4⋊Q8—264no—
282C4⋊Q8—416no—
283C4⋊Q8—416no—
284#124—264no—
285#123—2128no—
286C22⋊Q8—264no—
287C22⋊Q8—264no—
288C22⋊Q8—432no—
289C22⋊Q8—416no—
290C4×Q8—432no—
291#117—232no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—28no—
296C2×C4⋊C4—28no—
297C2×C4⋊C4—28no—
298C2×C4⋊C4—28no—
299C2×C4⋊C4—28no—
300C2×C4⋊C4—24no—
301C2×C4⋊C4—28no—
302C2×C4⋊C4—28no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—28no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—28no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—28no—
310C2×C4⋊C4—28no—
311C2×C4⋊C4—28no—
312C2×C4⋊C4—28no—
313C2×C4⋊C4—28no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—28no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4—44no—
319C2×C4⋊C4—44no—
320C2×C4⋊C4—44no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4C2×D418yes—
323C2×C4⋊C4C2×D418yes—
324C2×C4⋊C4C2×D4116yes—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—22no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—28no—
331C2×C22⋊C4—28no—
332C2×C22⋊C4—28no—
333C2×C22⋊C4—28no—
334C2×C22⋊C4—28no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—28no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—28no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—28no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—42no—
354C2×C22⋊C4—42no—
355C2×C22⋊C4—42no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—42no—
358C2×C22⋊C4—42no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4C2×D4116yes—
362C2×C22⋊C4C2×D418yes—
363C2×C42—28no—
364C2×C42—24no—
365C2×C42—28no—
366C2×C42—24no—
367C2×C42—24no—
368C2×C42—28no—
369C2×C42—24no—
370C2×C42—22no—
371C2×C42—22no—
372C2×C42—24no—
373C2×C42—24no—
374C2×C42—44no—
375#95—24no—
376#95—28no—
377#95—24no—
378#95—24no—
379#95—24no—
380#95—28no—
381#95—28no—
382#95—28no—
383#95—28no—
384#95—28no—
385#95—28no—
386#95—28no—
387#95—28no—
388#95—28no—
389#95—44no—
390#95—44no—
391#95—42no—
392#95—42no—
393#95C2×D418yes—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24—22no—
414C24C22×D414yes—
415C24C22×D412yes—
416C24C22×D412yes—
417C24C2×#4112yes—
418C24C2511yescharacteristic
419#41—4128no—
420C2×Q8—28no—
421C2×Q8—28no—
422C2×Q8—216no—
423C2×Q8—28no—
424C2×Q8—216no—
425C2×Q8—28no—
426C2×Q8—28no—
427C2×Q8—28no—
428C2×Q8—216no—
429C2×Q8—216no—
430C2×Q8—48no—
431C2×Q8—416no—
432C2×Q8—416no—
433C2×Q8—48no—
434C2×Q8—48no—
435C2×Q8—4128no—
436C2×Q8—44no—
437C2×Q8—44no—
438C2×Q8—44no—
439C2×Q8—44no—
440C2×Q8—44no—
441C2×Q8—48no—
442C2×Q8—48no—
443C2×Q8—48no—
444C2×Q8—48no—
445C2×Q8#120116yes—
446C2×D4—216no—
447C2×D4—28no—
448C2×D4—48no—
449C2×D4—48no—
450C2×D4—48no—
451C2×D4—48no—
452C2×D4—44no—
453C2×D4—48no—
454C2×D4—48no—
455C2×D4—48no—
456C2×D4—48no—
457C2×D4—44no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—28no—
464C22×C4—28no—
465C22×C4—216no—
466C22×C4—216no—
467C22×C4—216no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—216no—
509C22×C4—216no—
510C22×C4—216no—
511C22×C4—216no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—24no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—24no—
523C22×C4—24no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—24no—
528C22×C4—22no—
529C22×C4—48no—
530C22×C4—416no—
531C22×C4—416no—
532C22×C4—48no—
533C22×C4—48no—
534C22×C4—48no—
535C22×C4—48no—
536C22×C4#121116yes—
537C22×C4C22×D418yes—
538C22×C4C22×D418yes—
539C22×C4C22×D414yes—
540C22×C4C22×D414yes—
541C22×C4C22×D414yes—
542C22×C4C22×D418yes—
543C22×C4C22×D412yes—
544C22×C4C22×D412yes—
545C22×C4C22×D412yes—
546C22×C4C22×D414yes—
547C22×C4C22×D412yes—
548C22×C4C2×#4112yes—
549C22×C4C2×#4112yes—
550C22×C4H(5,𝔽2)14yes—
551C22×C42−1+414yes—
552C22×C42−1+414yes—
553C22×C42−1+414yes—
554C4⋊C4—232no—
555C4⋊C4—216no—
556C4⋊C4—232no—
557C4⋊C4—216no—
558C4⋊C4—416no—
559C4⋊C4—416no—
560C4⋊C4—416no—
561C4⋊C4—416no—
562C4⋊C4—416no—
563C4⋊C4—44no—
564C4⋊C4—48no—
565C22⋊C4—28no—
566C22⋊C4—216no—
567C22⋊C4—216no—
568C22⋊C4—216no—
569C22⋊C4—232no—
570C22⋊C4—232no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—416no—
575C22⋊C4—48no—
576C22⋊C4—44no—
577C22⋊C4—48no—
578C22⋊C4—88no—
579C42—216no—
580C42—416no—
581C42—44no—
582C42—44no—
583C42—48no—
584C23—22no—
585C23—22no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—22no—
590C23—22no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—22no—
595C23—22no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23C2×#12114yes—
640C23C23×D411yescharacteristic
641C23C23×D412yes—
642C23C23×D411yescharacteristic
643C23C22×#4111yescharacteristic
644C23C2×H(5,𝔽2)12yes—
645C23C2×2−1+412yes—
646C23C2×2−1+412yes—
647C23C2×2−1+412yes—
648C23#58512yes—
649Q8—232no—
650Q8—432no—
651Q8—416no—
652Q8—416no—
653Q8—88no—
654D4—416no—
655D4—432no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—28no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—28no—
664C2×C4—232no—
665C2×C4—28no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—28no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—28no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—28no—
681C2×C4—28no—
682C2×C4—28no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—432no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—44no—
709C2×C4—42no—
710C2×C4—44no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—432no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—44no—
719C2×C4—42no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—44no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—42no—
731C2×C4C2×#12018yes—
732C2×C4C2×#12014yes—
733C2×C4C2×#12114yes—
734C2×C4C2×#12114yes—
735C2×C4#53414yes—
736C2×C4D4218yes—
737C2×C4#54618yes—
738C22—24no—
739C22—24no—
740C22—24no—
741C22—44no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—44no—
746C22—44no—
747C22—44no—
748C22—44no—
749C22—44no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—44no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22C22×#12011yescharacteristic
763C22C22×#12111yescharacteristic
764C22C2×#53411yescharacteristic
765C22#346112yes—
766C22C2×D4212yes—
767C22C2×#54612yes—
768C22#348511yescharacteristic
769C22#348611yescharacteristic
770C22#348612yes—
771C22#348612yes—
772C22#348912yes—
773C22#349712yes—
774C22#349712yes—
775C22#349912yes—
776C22#349912yes—
777C22#350911yescharacteristic
778C22#350911yescharacteristic
779C22#353812yes—
780C22#354112yes—
781C22#354712yes—
782C22#355012yes—
783C4—24no—
784C4—28no—
785C4—44no—
786C4—44no—
787C4—48no—
788C4—44no—
789C4—44no—
790C4—48no—
791C4—44no—
792C4—82no—
793C4—82no—
794C4—82no—
795C4#241018yes—
796C2—44no—
797C2—84no—
798C2C2×#241011yescharacteristic
799C2#3515311yescharacteristic
800C2#3566711yescharacteristic
801C2#3568712yes—
802C2#3778312yes—
803C2#3943512yes—
804C2#4278612yes—
805C2#4509112yes—
806C2#4532112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC23×#41C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×#2429C2semidirect
3. C2×#2434C2semidirect
5. C2×Q8×C22⋊C4C2semidirect
6. #16257C2semidirect
7. #15321C2semidirect
8. #15318C2semidirect
9. #15179C2semidirect
10. #15178C2semidirect
11. #14761C2semidirect
12. #14138C2semidirect
13. #14129C2semidirect
14. #13969C2semidirect

Maximal subgroups

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

subgroupindex
C22×#5362
C2×#24292
C2×#24342
C2×#26162
C2×Q8×C22⋊C42
#162572
#153212
#153182
#151792
#151782
#147612
#141382
#141292
#139692
#138512