Finite Group Databasebeta

← #619955

Subgroups — #619955

Order 512.

4584 conjugacy classes of subgroups.

The subgroup lattice has 807 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2849C212yesmaximal, complemented
2C2×#2623C212yesmaximal, complemented
3C2×#2618C211yesmaximal, characteristic, complemented
4C22×#380C211yesmaximal, characteristic, complemented
5#15526C214yesmaximal, complemented
6#15513C214yesmaximal, complemented
7#15505C214yesmaximal, complemented
8#15493C214yesmaximal, complemented
9#14936C211yesmaximal, characteristic, complemented
10#14926C211yesmaximal, characteristic, complemented
11#14734C211yesmaximal, characteristic, complemented
12#14716C211yesmaximal, characteristic
13#13996C212yesmaximal, complemented
14#13995C212yesmaximal, complemented
15#13776C211yesmaximal, characteristic, complemented
16C25×C4C2211yescharacteristic
17C22×#123C2212yes—
18C22×#123C2212yes—
19C22×#121C2211yescharacteristic
20C22×#120C2212yes—
21C23×C4⋊C4C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25#2849—216no—
26#2623—216no—
27#2618—28no—
28C2×#400C2214yescomplemented
29C2×#399C2212yes—
30C2×#399C2214yescomplemented
31C2×#398C2214yescomplemented
32C2×#398C2212yescomplemented
33C2×#397C2214yescomplemented
34C2×#396C2212yescomplemented
35C2×#396C2212yescomplemented
36C2×#394C2212yescomplemented
37C2×#392C2212yes—
38C2×#390C2214yes—
39C2×#386C2214yes—
40C2×#386C2214yes—
41C2×#386C2212yes—
42C2×#386C2212yes—
43C2×#386C2212yes—
44C2×#385C2214yes—
45C2×#385C2214yes—
46C2×#385C2212yes—
47C2×#385C2212yes—
48C2×#381C2212yes—
49C2×#381C2212yes—
50C2×#380—28no—
51C2×#380C2211yescharacteristic
52C2×#380C2214yes—
53C2×#380C2214yes—
54C2×#379C2212yes—
55C2×C4×C22⋊C4C2212yes—
56C22×#95C2211yescharacteristic
57C22×#95C2211yescharacteristic
58#1445C2214yescomplemented
59#1445C2212yescomplemented
60#1445C2214yescomplemented
61#1444C2212yescomplemented
62#1444C2212yescomplemented
63#1439C2212yes—
64#1439C2214yes—
65#1439C2212yes—
66#1439C2214yes—
67#1439C2214yescomplemented
68#1439C2214yescomplemented
69#1438C2214yes—
70#1438C2214yes—
71#1438C2212yescomplemented
72#1437C2214yes—
73#1437C2214yescomplemented
74#1436C2214yescomplemented
75#1436C2214yescomplemented
76C4⋊#95C2214yescomplemented
77C22⋊#95C2211yescharacteristic
78C22⋊#95C2211yescharacteristic
79C26C2311yescharacteristic
80C23×D4C2312yes—
81C23×D4C2314yes—
82C23×D4C2311yescharacteristic
83C24×C4—24no—
84C24×C4—24no—
85C24×C4—24no—
86C24×C4—28no—
87C24×C4—44no—
88C24×C4C2311yescharacteristic
89C24×C4C2314yes—
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C2×#123—28no—
96C2×#123—28no—
97C2×#123—28no—
98C2×#123—28no—
99C2×#123—28no—
100C2×#123—44no—
101C2×#121—24no—
102C2×#121—44no—
103C2×#120—28no—
104C2×#120—28no—
105C2×#120—44no—
106C22×C4⋊C4—28no—
107C22×C4⋊C4—24no—
108C22×C4⋊C4—44no—
109C22×C4⋊C4D418yescomplemented
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2314yes—
113C22×C4⋊C4C2314yes—
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2314yes—
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2312yes—
121C22×C22⋊C4—24no—
122C22×C22⋊C4—24no—
123C22×C22⋊C4—44no—
124C22×C22⋊C4—44no—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2314yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2314yes—
142C22×C42C2314yes—
143#400—216no—
144#399—216no—
145#399—44no—
146#398—28no—
147#398—216no—
148#397—216no—
149#396—28no—
150#396—28no—
151#394—28no—
152#392—44no—
153#390—48no—
154#386—28no—
155#386—28no—
156#386—28no—
157#386—216no—
158#386—216no—
159#385—28no—
160#385—28no—
161#385—216no—
162#385—216no—
163#381—28no—
164#381D4116yescomplemented
165#380—24no—
166#380—216no—
167#380—216no—
168#379—28no—
169C4×C22⋊C4—44no—
170C2×#95—24no—
171C2×#95—24no—
172C2×#95C2312yes—
173C2×#95C2312yes—
174C2×#95C2312yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2312yes—
183C2×#95C2312yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C25—22no—
192C25—22no—
193C25—24no—
194C25—24no—
195C25—24no—
196C25—24no—
197C25—42no—
198C25—42no—
199C25#4114yes—
200C25C2412yes—
201C25C2412yes—
202C25C2411yescharacteristic
203C22×D4—24no—
204C22×D4—24no—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—28no—
211C22×D4—28no—
212C22×D4—28no—
213C22×D4—28no—
214C22×D4—22no—
215C22×D4—44no—
216C22×D4—42no—
217C22×D4—44no—
218C22×D4—44no—
219C22×D4—42no—
220C22×D4—42no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—24no—
224C23×C4—232no—
225C23×C4—24no—
226C23×C4—22no—
227C23×C4—28no—
228C23×C4—22no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—28no—
233C23×C4—28no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—24no—
237C23×C4—24no—
238C23×C4—28no—
239C23×C4—28no—
240C23×C4—44no—
241C23×C4—44no—
242C23×C4—432no—
243C23×C4—42no—
244C23×C4—42no—
245C23×C4—42no—
246C23×C4—42no—
247C23×C4—42no—
248C23×C4—42no—
249C23×C4—42no—
250C23×C4—42no—
251C23×C4—432no—
252C23×C4—416no—
253C23×C4—416no—
254C23×C4C2×D414yes—
255C23×C4C2×D418yes—
256C23×C4C2×D414yes—
257C23×C4C2×D414yes—
258C23×C4#4114yes—
259C23×C4C2412yes—
260C23×C4C2412yes—
261C23×C4C2412yes—
262C23×C4C2412yes—
263C23×C4C2412yes—
264C23×C4C2414yes—
265C23×C4C2411yescharacteristic
266C23×C4C2412yes—
267C23×C4C2414yes—
268C23×C4C2411yescharacteristic
269C23×C4C2412yes—
270C23×C4C2412yes—
271#123—432no—
272#123—432no—
273#121—416no—
274#120—432no—
275C2×C4⋊C4—28no—
276C2×C4⋊C4—28no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—22no—
279C2×C4⋊C4—28no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—28no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—28no—
290C2×C4⋊C4—28no—
291C2×C4⋊C4—416no—
292C2×C4⋊C4—42no—
293C2×C4⋊C4—42no—
294C2×C4⋊C4—42no—
295C2×C4⋊C4—42no—
296C2×C4⋊C4—42no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4—416no—
299C2×C4⋊C4—42no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—44no—
302C2×C4⋊C4—44no—
303C2×C4⋊C4—44no—
304C2×C4⋊C4—42no—
305C2×C4⋊C4C2×D418yes—
306C2×C4⋊C4C2×D418yes—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—28no—
333C2×C22⋊C4—28no—
334C2×C22⋊C4—28no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—28no—
338C2×C22⋊C4—28no—
339C2×C22⋊C4—42no—
340C2×C22⋊C4—42no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—42no—
346C2×C22⋊C4—42no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—416no—
349C2×C22⋊C4—416no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4C2×D418yes—
357C2×C22⋊C4C2×D418yes—
358C2×C42—44no—
359C2×C42—44no—
360C2×C42—44no—
361#95—28no—
362#95—24no—
363#95—24no—
364#95—24no—
365#95—28no—
366#95—28no—
367#95—28no—
368#95—28no—
369#95—24no—
370#95—24no—
371#95—28no—
372#95—28no—
373#95—42no—
374#95—42no—
375#95—44no—
376#95—42no—
377#95—42no—
378#95C2×D4116yes—
379#95C2×D4116yes—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—28no—
385C24—28no—
386C24—216no—
387C24—28no—
388C24—216no—
389C24—22no—
390C24—24no—
391C24—22no—
392C24—22no—
393C24—24no—
394C24—22no—
395C24—24no—
396C24—24no—
397C24—216no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—24no—
405C24—22no—
406C24—24no—
407C24—24no—
408C24—24no—
409C24—48no—
410C24—416no—
411C24—416no—
412C24—416no—
413C24—416no—
414C24—48no—
415C24—44no—
416C24—44no—
417C24—44no—
418C24—44no—
419C24—48no—
420C24C22×D412yes—
421C24C22×D414yes—
422C24C2×#4114yes—
423C24C2×#4112yes—
424C24C2×#4112yes—
425C24H(5,𝔽2)14yes—
426C24H(5,𝔽2)14yes—
427C242−1+414yes—
428C24C2511yescharacteristic
429C2×D4—416no—
430C2×D4—416no—
431C2×D4—416no—
432C2×D4—44no—
433C2×D4—48no—
434C2×D4—48no—
435C2×D4—48no—
436C2×D4—416no—
437C2×D4—48no—
438C2×D4—48no—
439C2×D4—48no—
440C2×D4—48no—
441C2×D4—82no—
442C2×D4—82no—
443C2×D4—88no—
444C2×D4—88no—
445C2×D4—88no—
446C2×D4—88no—
447C22×C4—28no—
448C22×C4—28no—
449C22×C4—216no—
450C22×C4—216no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—232no—
456C22×C4—28no—
457C22×C4—216no—
458C22×C4—22no—
459C22×C4—24no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—28no—
485C22×C4—28no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—22no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—22no—
513C22×C4—416no—
514C22×C4—416no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—416no—
520C22×C4—416no—
521C22×C4—416no—
522C22×C4—4128no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—48no—
526C22×C4—416no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—88no—
534C22×C4—88no—
535C22×C4—88no—
536C22×C4—88no—
537C22×C4#127116yes—
538C22×C4C22×D418yes—
539C22×C4C22×D414yes—
540C22×C4C22×D412yes—
541C22×C4C22×D418yes—
542C22×C4C22×D412yes—
543C22×C4C22×D414yes—
544C22×C4C22×D414yes—
545C22×C4C22×D414yes—
546C22×C4C2×#4114yes—
547C4⋊C4—48no—
548C4⋊C4—48no—
549C4⋊C4—416no—
550C4⋊C4—44no—
551C4⋊C4—416no—
552C4⋊C4—48no—
553C4⋊C4—48no—
554C4⋊C4—82no—
555C4⋊C4—82no—
556C4⋊C4—88no—
557C4⋊C4—88no—
558C22⋊C4—216no—
559C22⋊C4—216no—
560C22⋊C4—416no—
561C22⋊C4—416no—
562C22⋊C4—416no—
563C22⋊C4—416no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—416no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—84no—
572C22⋊C4—84no—
573C22⋊C4—88no—
574C22⋊C4—88no—
575C42—88no—
576C23—24no—
577C23—24no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—28no—
583C23—28no—
584C23—24no—
585C23—24no—
586C23—28no—
587C23—28no—
588C23—232no—
589C23—24no—
590C23—24no—
591C23—28no—
592C23—24no—
593C23—24no—
594C23—28no—
595C23—28no—
596C23—28no—
597C23—24no—
598C23—24no—
599C23—28no—
600C23—28no—
601C23—464no—
602C23—416no—
603C23—464no—
604C23—416no—
605C23—416no—
606C23—416no—
607C23—416no—
608C23—42no—
609C23—42no—
610C23—44no—
611C23—44no—
612C23—42no—
613C23—42no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—416no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—44no—
623C23—44no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23—44no—
641C23—44no—
642C23#52514yes—
643C23C2×#12714yes—
644C23#53414yes—
645C23#53918yes—
646C23#54618yes—
647C23#54618yes—
648C23C23×D411yescharacteristic
649C23C23×D412yes—
650C23C22×#4111yescharacteristic
651C23C22×#4111yescharacteristic
652C23C2×H(5,𝔽2)12yes—
653C23C2×H(5,𝔽2)12yes—
654C23C2×2−1+412yes—
655C23#58512yes—
656C23#58512yes—
657D4—832no—
658D4—88no—
659D4—816no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—232no—
667C2×C4—24no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—24no—
671C2×C4—28no—
672C2×C4—28no—
673C2×C4—28no—
674C2×C4—24no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—24no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—28no—
681C2×C4—28no—
682C2×C4—28no—
683C2×C4—28no—
684C2×C4—464no—
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—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—416no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—88no—
729C2×C4—88no—
730C2×C4—88no—
731C2×C4—88no—
732C2×C4C2×#12718yes—
733C22—24no—
734C22—216no—
735C22—216no—
736C22—24no—
737C22—24no—
738C22—24no—
739C22—24no—
740C22—24no—
741C22—216no—
742C22—28no—
743C22—464no—
744C22—44no—
745C22—44no—
746C22—48no—
747C22—48no—
748C22—48no—
749C22—44no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—82no—
754C22—82no—
755C22—84no—
756C22—84no—
757C22—84no—
758C22—84no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22#253918yes—
765C22C2×#52511yescharacteristic
766C22C22×#12711yescharacteristic
767C22C2×#53411yescharacteristic
768C22C2×#53912yes—
769C22#345512yes—
770C22C2×#54612yes—
771C22C2×#54612yes—
772C22#348411yescharacteristic
773C22#348511yescharacteristic
774C22#348611yescharacteristic
775C22#348711yescharacteristic
776C22#348814yes—
777C22#348914yes—
778C22#349112yes—
779C22#349212yes—
780C22#353414yes—
781C22#353514yes—
782C4—28no—
783C4—44no—
784C4—48no—
785C4—48no—
786C4—42no—
787C4—44no—
788C4—42no—
789C4—82no—
790C4—82no—
791C4—82no—
792C4—82no—
793C4—82no—
794C2—28no—
795C2—48no—
796C2—162no—
797C2C2×#253911yescharacteristic
798C2#3498911yescharacteristic
799C2#3509411yescharacteristic
800C2#3556511yescharacteristic
801C2#3563411yescharacteristic
802C2#3711711yescharacteristic
803C2#3718611yescharacteristic
804C2#3766114yes—
805C2#3766614yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radical#14716C2
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×#2849C2semidirect
2. C2×#2623C2semidirect
3. C2×#2618C2semidirect
4. C22×#380C2semidirect
5. #15526C2semidirect
6. #15513C2semidirect
7. #15505C2semidirect
8. #15493C2semidirect
9. #14936C2semidirect
10. #14926C2semidirect
11. #14734C2semidirect
13. #13996C2semidirect
14. #13995C2semidirect
15. #13776C2semidirect
28. C2×#400C22semidirect
30. C2×#399C22semidirect
31. C2×#398C22semidirect
32. C2×#398C22semidirect
33. C2×#397C22semidirect
34. C2×#396C22semidirect
35. C2×#396C22semidirect
36. C2×#394C22semidirect
58. #1445C22semidirect
59. #1445C22semidirect
60. #1445C22semidirect
61. #1444C22semidirect
62. #1444C22semidirect
67. #1439C22semidirect
68. #1439C22semidirect
71. #1438C22semidirect
73. #1437C22semidirect
74. #1436C22semidirect
75. #1436C22semidirect
76. C4⋊#95C22semidirect
109. C22×C4⋊C4D4semidirect
164. #381D4semidirect

Maximal subgroups

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

subgroupindex
C2×#28492
C2×#26232
C2×#26182
C22×#3802
#155262
#155132
#155052
#154932
#149362
#149262
#147342
#147162
#139962
#139952
#137762