Finite Group Databasebeta

← #7676283

Subgroups — #7676283

Order 512.

4720 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59662C218yesmaximal, complemented
2#59661C218yesmaximal, complemented
3#43556C218yesmaximal, complemented
4#43129C218yesmaximal, complemented
5#39752C214yesmaximal, complemented
6#39748C214yesmaximal, complemented
7#39748C214yesmaximal, complemented
8#36599C214yesmaximal, complemented
9#35368C214yesmaximal
10#35002C211yesmaximal, characteristic
11#35002C212yesmaximal
12C2×#2569C212yesmaximal
13#34270C212yesmaximal
14#34212C212yesmaximal
15C2×#2368C211yesmaximal, characteristic
16C4×#543C211yesmaximal, characteristic
17C2×#543C2211yescharacteristic
18C2×#543C2212yes—
19C22×C22⋊Q8C2211yescharacteristic
20#2857C2214yes—
21#2857C2214yes—
22#2857C2214yes—
23#2809C2218yescomplemented
24#2806C2218yescomplemented
25#2802C2218yescomplemented
26#2802C2218yescomplemented
27#2799C2218yescomplemented
28#2799C2218yescomplemented
29#2791C2218yescomplemented
30#2791C2218yescomplemented
31#2774C2218yescomplemented
32#2774C2218yescomplemented
33#2713C2218yescomplemented
34#2713C2218yescomplemented
35#2659C2214yes—
36#2659C2214yes—
37#2659C2214yes—
38#2590C2218yescomplemented
39#2590C2218yescomplemented
40#2588C2218yescomplemented
41#2588C2218yescomplemented
42#2585C2218yescomplemented
43#2585C2218yescomplemented
44#2581C2218yescomplemented
45#2569C2218yes—
46#2569C2214yes—
47#2569C2214yes—
48#2569C2218yes—
49#2569C2214yes—
50#2569C2214yes—
51#2569C2218yes—
52#2569C2218yes—
53#2565C2218yescomplemented
54#2552C2214yescomplemented
55#2549C2214yes—
56#2549C2218yes—
57#2549C2214yes—
58#2549C2218yes—
59#2546C2214yescomplemented
60#2520C2218yescomplemented
61#2520C2218yescomplemented
62#2511C2214yescomplemented
63#2511C2214yescomplemented
64#2509C2218yescomplemented
65#2505C2218yes—
66#2505C2218yes—
67#2505C2218yes—
68#2505C2218yes—
69#2473C2218yes—
70#2473C2218yes—
71#2473C2218yes—
72#2473C2218yes—
73#2462C2218yescomplemented
74#2462C2218yescomplemented
75#2453C2218yescomplemented
76#2451C2218yescomplemented
77#2446C2214yescomplemented
78#2446C2214yescomplemented
79#2442C2218yes—
80#2442C2218yes—
81#2440C2218yes—
82#2440C2218yes—
83#2440C2218yes—
84C2×#400C2214yes—
85C2×#398C2214yes—
86#2370C2218yescomplemented
87#2368C2214yes—
88#2368C2218yes—
89#2368C2218yes—
90#2368C2214yes—
91#2368C2218yes—
92#2368C2214yes—
93#2368C2214yes—
94#2365C2214yescomplemented
95#2360C2218yes—
96#2360C2218yes—
97#2360C2218yes—
98#2355C2214yescomplemented
99#2345C2214yes—
100#2345C2218yes—
101Q8×C22⋊C4C2214yes—
102#2329C2218yes—
103#2329C2218yes—
104#2329C2214yes—
105#2329C2214yes—
106#2329C2214yes—
107#2315C2212yes—
108#2315C2212yes—
109#2315C2214yes—
110#2315C2211yescharacteristic
111C4×C22⋊Q8C2218yes—
112C4×C22⋊Q8C2218yes—
113C4×C22⋊Q8C2214yes—
114C4×C22⋊Q8C2214yes—
115C4×C22⋊Q8C2214yes—
116C2×#391C2212yes—
117C2×#387C2214yes—
118C2×#387C2214yes—
119C2×#387C2212yes—
120C2×#387C2212yes—
121C2×#385C2214yes—
122C2×#385C2212yes—
123C2×#380C2214yes—
124C2×#380C2212yes—
125#2273C2214yes—
126C2×C4×C4⋊C4C2212yes—
127C2×C4×C22⋊C4C2212yes—
128C2×C4×C22⋊C4C2211yescharacteristic
129C2×C4×C22⋊C4C2212yes—
130C22×#95C2211yescharacteristic
131C23×Q8C2311yescharacteristic
132C24×C4C2312yes—
133C24×C4C2311yescharacteristic
134#543—28no—
135#543—216no—
136C2×C4⋊Q8C2314yes—
137C2×C4⋊Q8C2314yes—
138C2×C4⋊Q8C2314yes—
139C2×#125C2318yes—
140C2×#125C2318yes—
141C2×C22⋊Q8Q8116yescomplemented
142C2×C22⋊Q8C2314yes—
143C2×C22⋊Q8C2314yes—
144C2×C22⋊Q8C2314yes—
145C2×C22⋊Q8C2318yes—
146C2×C22⋊Q8C2318yes—
147C2×C22⋊Q8C2318yes—
148C2×C22⋊Q8C2314yes—
149C2×C22⋊Q8C2314yes—
150C2×C4×Q8C2314yes—
151C2×C4×Q8C2318yes—
152C2×C4×Q8C2314yes—
153C2×C4×Q8C2314yes—
154C22×C4⋊C4C2314yes—
155C22×C4⋊C4C2314yes—
156C22×C4⋊C4C2312yes—
157C22×C4⋊C4C2314yes—
158C22×C4⋊C4C2314yes—
159C22×C4⋊C4C2314yes—
160C22×C4⋊C4C2312yes—
161C22×C4⋊C4C2312yes—
162C22×C4⋊C4C2311yescharacteristic
163C22×C22⋊C4C2311yescharacteristic
164C22×C22⋊C4C2312yes—
165C22×C22⋊C4C2314yes—
166C22×C22⋊C4C2312yes—
167C22×C22⋊C4C2312yes—
168C22×C22⋊C4C2311yescharacteristic
169C22×C42C2312yes—
170C22×C42C2312yes—
171C22×C42C2312yes—
172C22×C42C2314yes—
173#400C2318yes—
174#400C2318yes—
175#400C2318yes—
176#400C2318yes—
177#400C2318yes—
178#400C2318yes—
179#400C2318yes—
180#400C2318yes—
181#400C2318yes—
182#400C2318yes—
183#400C2318yes—
184#400C2318yes—
185#398C2318yes—
186#398C2318yes—
187#398C2318yes—
188#398C2318yes—
189#398C2318yes—
190#398C2318yes—
191#398C2318yes—
192#398C2318yes—
193#398C2318yes—
194#398C2318yes—
195#398C2318yes—
196#398C2318yes—
197#398C2318yes—
198#398C2318yes—
199#398C2318yes—
200#398C2318yes—
201#398C2318yes—
202#398C2318yes—
203#395C2318yes—
204#395C2318yes—
205#395C2318yes—
206#395C2318yes—
207#395C2318yes—
208#395C2318yes—
209#391C2318yes—
210#391C2318yes—
211#391C2318yes—
212#391C2318yes—
213#391C2314yes—
214#391C2318yes—
215#391C2318yes—
216#391C2318yes—
217#391C2314yes—
218#391C2314yes—
219#391C2318yes—
220#391C2314yes—
221#391C2314yes—
222#391C2314yes—
223#391C2314yes—
224#391C2314yes—
225#391C2314yes—
226#389C2318yes—
227#389C2318yes—
228#389C2314yes—
229#389C2318yes—
230#389C2318yes—
231#389C2318yes—
232#389C2318yes—
233#389C2318yes—
234#389C2318yes—
235#389C2318yes—
236#389C2318yes—
237#389C2318yes—
238#389C2318yes—
239#389C2318yes—
240#389C2318yes—
241#389C2318yes—
242#389C2318yes—
243#389C2314yes—
244#389C2314yes—
245#387C2318yes—
246#387C2318yes—
247#387C2318yes—
248#387C2318yes—
249#387C2318yes—
250#387C2318yes—
251#387C2318yes—
252#387C2318yes—
253#387C2318yes—
254#387C2318yes—
255#387C2318yes—
256#387C2318yes—
257#387C2318yes—
258#387C2318yes—
259#387C2318yes—
260#387C2318yes—
261#387C2318yes—
262#387C2318yes—
263#387C2318yes—
264#387C2318yes—
265#387C2318yes—
266#387C2318yes—
267#387C2318yes—
268#387C2318yes—
269#387C2318yes—
270#387C2318yes—
271#387C2318yes—
272#387C2318yes—
273#387C2318yes—
274#387C2318yes—
275#387C2318yes—
276#387C2318yes—
277#387C2318yes—
278#387C2318yes—
279#387C2318yes—
280#385C2318yes—
281#385C2318yes—
282#385C2318yes—
283#385C2318yes—
284#385C2318yes—
285#385C2318yes—
286#385C2318yes—
287#385C2318yes—
288#385C2318yes—
289#385C2318yes—
290#385C2318yes—
291#385C2318yes—
292#385C2318yes—
293#385C2318yes—
294#385C2318yes—
295#384C2314yes—
296#384C2314yes—
297#384C2314yes—
298#382C2318yes—
299#382C2318yes—
300#380C2318yes—
301#380C2318yes—
302#380C2318yes—
303#380C2314yes—
304#380C2314yes—
305#380C2314yes—
306#380C2318yes—
307#380C2318yes—
308#380C2314yes—
309#380C2318yes—
310#380C2318yes—
311#380C2314yes—
312#380C2318yes—
313C4×C4⋊C4C2318yes—
314C4×C4⋊C4C2314yes—
315C4×C4⋊C4C2314yes—
316C4×C4⋊C4C2318yes—
317C4×C4⋊C4C2318yes—
318C4×C4⋊C4C2318yes—
319C4×C4⋊C4C2318yes—
320C4×C4⋊C4C2314yes—
321C4×C4⋊C4C2314yes—
322C4×C4⋊C4C2318yes—
323C4×C4⋊C4C2314yes—
324C4×C4⋊C4C2314yes—
325C4×C4⋊C4C2314yes—
326C4×C22⋊C4C2314yes—
327C4×C22⋊C4C2314yes—
328C4×C22⋊C4C2314yes—
329C4×C22⋊C4C2314yes—
330C4×C22⋊C4C2318yes—
331C4×C22⋊C4C2318yes—
332C4×C22⋊C4C2314yes—
333C4×C22⋊C4C2318yes—
334C4×C22⋊C4C2318yes—
335C4×C22⋊C4C2318yes—
336C4×C22⋊C4C2318yes—
337C4×C22⋊C4C2318yes—
338C4×C22⋊C4C2318yes—
339C4×C22⋊C4C2314yes—
340C2×#95C2311yescharacteristic
341C2×#95C2311yescharacteristic
342C2×#95C2312yes—
343C2×#95C2312yes—
344C2×#95C2312yes—
345C2×#95C2312yes—
346C2×#95C2312yes—
347C2×#95C2314yes—
348C2×#95C2314yes—
349C2×#95C2312yes—
350C2×#95C2312yes—
351C2×#95C2312yes—
352C2×#95C2314yes—
353C2×#95C2314yes—
354C2×#95C2312yes—
355C2×#95C2312yes—
356C2×#95C2314yes—
357C2×#95C2314yes—
358C25C2411yescharacteristic
359C22×Q8—82no—
360C22×Q8C2×Q818yes—
361C22×Q8C2414yes—
362C22×Q8C2414yes—
363C22×Q8C2414yes—
364C22×Q8C2414yes—
365C23×C4—28no—
366C23×C4—44no—
367C23×C4—82no—
368C23×C4—82no—
369C23×C4C2×Q818yes—
370C23×C4C2414yes—
371C23×C4C2412yes—
372C23×C4C2414yes—
373C23×C4C2414yes—
374C23×C4C2414yes—
375C23×C4C2414yes—
376C23×C4C2412yes—
377C23×C4C2414yes—
378C23×C4C2412yes—
379C23×C4C2412yes—
380C23×C4C2412yes—
381C23×C4C2412yes—
382C23×C4C2411yescharacteristic
383C23×C4C2411yescharacteristic
384C23×C4C2412yes—
385C23×C4C2412yes—
386C4⋊Q8—48no—
387C4⋊Q8—84no—
388C4⋊Q8—84no—
389#125—416no—
390#125—88no—
391C22⋊Q8—216no—
392C22⋊Q8—216no—
393C22⋊Q8—216no—
394C22⋊Q8—232no—
395C22⋊Q8—232no—
396C22⋊Q8—232no—
397C22⋊Q8C2×Q8132yes—
398C22⋊Q8C2×Q8132yes—
399C4×Q8—48no—
400C4×Q8—84no—
401C4×Q8—84no—
402C4×Q8—88no—
403C2×C4⋊C4—48no—
404C2×C4⋊C4—44no—
405C2×C4⋊C4—48no—
406C2×C4⋊C4—84no—
407C2×C4⋊C4—84no—
408C2×C4⋊C4—82no—
409C2×C4⋊C4—84no—
410C2×C4⋊C4C2×Q818yes—
411C2×C4⋊C4C2×Q8116yes—
412C2×C4⋊C4C2418yes—
413C2×C4⋊C4C2414yes—
414C2×C4⋊C4C2418yes—
415C2×C4⋊C4C2414yes—
416C2×C4⋊C4C2414yes—
417C2×C4⋊C4C2414yes—
418C2×C4⋊C4C2418yes—
419C2×C4⋊C4C2418yes—
420C2×C4⋊C4C2418yes—
421C2×C4⋊C4C2418yes—
422C2×C4⋊C4C2418yes—
423C2×C4⋊C4C2418yes—
424C2×C4⋊C4C2418yes—
425C2×C4⋊C4C2418yes—
426C2×C4⋊C4C2418yes—
427C2×C4⋊C4C2418yes—
428C2×C4⋊C4C2414yes—
429C2×C4⋊C4C2418yes—
430C2×C4⋊C4C2418yes—
431C2×C4⋊C4C2414yes—
432C2×C4⋊C4C2418yes—
433C2×C4⋊C4C2418yes—
434C2×C4⋊C4C2418yes—
435C2×C4⋊C4C2414yes—
436C2×C4⋊C4C2418yes—
437C2×C4⋊C4C2418yes—
438C2×C4⋊C4C2418yes—
439C2×C4⋊C4C2418yes—
440C2×C4⋊C4C2418yes—
441C2×C4⋊C4C2414yes—
442C2×C4⋊C4C2414yes—
443C2×C4⋊C4C2414yes—
444C2×C22⋊C4—28no—
445C2×C22⋊C4—216no—
446C2×C22⋊C4—24no—
447C2×C22⋊C4—28no—
448C2×C22⋊C4C2×Q8116yes—
449C2×C22⋊C4#4118yes—
450C2×C22⋊C4C2414yes—
451C2×C22⋊C4C2418yes—
452C2×C22⋊C4C2414yes—
453C2×C22⋊C4C2418yes—
454C2×C22⋊C4C2414yes—
455C2×C22⋊C4C2414yes—
456C2×C22⋊C4C2414yes—
457C2×C22⋊C4C2418yes—
458C2×C22⋊C4C2414yes—
459C2×C42—44no—
460C2×C42—84no—
461C2×C42—82no—
462C2×C42—82no—
463C2×C42C2414yes—
464C2×C42C2418yes—
465C2×C42C2418yes—
466C2×C42C2418yes—
467C2×C42C2418yes—
468C2×C42C2414yes—
469C2×C42C2414yes—
470C2×C42C2418yes—
471C2×C42C2418yes—
472C2×C42C2414yes—
473C2×C42C2414yes—
474C2×C42C2414yes—
475#95C2412yes—
476#95C2411yescharacteristic
477#95C2411yescharacteristic
478#95C2412yes—
479#95C2414yes—
480#95C2414yes—
481#95C2412yes—
482#95C2418yes—
483#95C2418yes—
484#95C2418yes—
485#95C2418yes—
486#95C2418yes—
487#95C2414yes—
488#95C2414yes—
489#95C2418yes—
490#95C2418yes—
491#95C2414yes—
492#95C2414yes—
493#95C2418yes—
494#95C2418yes—
495#95C2414yes—
496#95C2414yes—
497#95C2418yes—
498#95C2418yes—
499#95C2418yes—
500#95C2418yes—
501#95C2418yes—
502#95C2418yes—
503#95C2418yes—
504#95C2418yes—
505#95C2418yes—
506#95C2418yes—
507#95C2418yes—
508#95C2418yes—
509#95C2418yes—
510#95C2418yes—
511#95C2418yes—
512#95C2418yes—
513#95C2418yes—
514#95C2418yes—
515C24—42no—
516C24—42no—
517C24C22×Q814yes—
518C24C2×#4114yes—
519C242−1+414yes—
520C24C2512yes—
521C24C2511yescharacteristic
522C2×Q8—28no—
523C2×Q8—28no—
524C2×Q8—28no—
525C2×Q8—48no—
526C2×Q8—44no—
527C2×Q8—44no—
528C2×Q8—44no—
529C2×Q8—44no—
530C2×Q8—44no—
531C2×Q8—44no—
532C2×Q8—88no—
533C2×Q8C22×Q8116yes—
534C22×C4—28no—
535C22×C4—24no—
536C22×C4—28no—
537C22×C4—28no—
538C22×C4—28no—
539C22×C4—28no—
540C22×C4—24no—
541C22×C4—28no—
542C22×C4—24no—
543C22×C4—24no—
544C22×C4—28no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—42no—
549C22×C4—44no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—42no—
553C22×C4—44no—
554C22×C4—44no—
555C22×C4—42no—
556C22×C4—42no—
557C22×C4—44no—
558C22×C4—42no—
559C22×C4—44no—
560C22×C4—44no—
561C22×C4—44no—
562C22×C4—44no—
563C22×C4—42no—
564C22×C4—44no—
565C22×C4—44no—
566C22×C4—44no—
567C22×C4—44no—
568C22×C4—42no—
569C22×C4—44no—
570C22×C4—42no—
571C22×C4—88no—
572C22×C4—816no—
573C22×C4C22×Q818yes—
574C22×C4C22×Q818yes—
575C22×C4C22×Q814yes—
576C22×C4C22×Q814yes—
577C22×C4C22×Q818yes—
578C22×C4C22×Q818yes—
579C22×C4C2×#4118yes—
580C22×C4C2512yes—
581C22×C4C2514yes—
582C22×C4C2518yes—
583C22×C4C2514yes—
584C22×C4C2518yes—
585C22×C4C2518yes—
586C22×C4C2518yes—
587C22×C4C2512yes—
588C22×C4C2511yescharacteristic
589C22×C4C2514yes—
590C22×C4C2514yes—
591C22×C4C2511yescharacteristic
592C22×C4C2514yes—
593C22×C4C2512yes—
594C4⋊C4—28no—
595C4⋊C4—28no—
596C4⋊C4—28no—
597C4⋊C4—216no—
598C4⋊C4—216no—
599C4⋊C4—216no—
600C4⋊C4—216no—
601C4⋊C4—28no—
602C4⋊C4—216no—
603C4⋊C4—44no—
604C4⋊C4—48no—
605C4⋊C4—48no—
606C4⋊C4—48no—
607C4⋊C4—48no—
608C4⋊C4—48no—
609C4⋊C4—48no—
610C4⋊C4—48no—
611C4⋊C4—48no—
612C4⋊C4—48no—
613C4⋊C4—44no—
614C4⋊C4—44no—
615C4⋊C4—48no—
616C4⋊C4—48no—
617C4⋊C4—48no—
618C4⋊C4—48no—
619C4⋊C4—48no—
620C4⋊C4—48no—
621C4⋊C4—48no—
622C4⋊C4—48no—
623C4⋊C4C22×Q8116yes—
624C4⋊C4C22×Q8116yes—
625C4⋊C4C22×Q8116yes—
626C22⋊C4—28no—
627C22⋊C4—216no—
628C22⋊C4—28no—
629C22⋊C4—216no—
630C22⋊C4—28no—
631C22⋊C4—28no—
632C22⋊C4—28no—
633C22⋊C4C22×Q8132yes—
634C22⋊C4C2×#41116yes—
635C42—28no—
636C42—44no—
637C42—44no—
638C42—48no—
639C42—44no—
640C42—48no—
641C42—44no—
642C42—44no—
643C42—48no—
644C42—48no—
645C42—48no—
646C42—48no—
647C23—22no—
648C23—24no—
649C23—22no—
650C23—24no—
651C23—44no—
652C23—48no—
653C23—44no—
654C23—48no—
655C23#557116yes—
656C23C23×Q814yes—
657C23C23×Q812yes—
658C23C22×#4112yes—
659C23C22×#4114yes—
660C23C2×2−1+414yes—
661C23C2×2−1+412yes—
662C23C2611yescharacteristic
663Q8—416no—
664Q8—88no—
665Q8—88no—
666Q8—88no—
667C2×C4—22no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—22no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—28no—
679C2×C4—28no—
680C2×C4—28no—
681C2×C4—28no—
682C2×C4—24no—
683C2×C4—22no—
684C2×C4—24no—
685C2×C4—28no—
686C2×C4—22no—
687C2×C4—28no—
688C2×C4—28no—
689C2×C4—24no—
690C2×C4—28no—
691C2×C4—24no—
692C2×C4—28no—
693C2×C4—24no—
694C2×C4—28no—
695C2×C4—22no—
696C2×C4—28no—
697C2×C4—28no—
698C2×C4—24no—
699C2×C4—44no—
700C2×C4—48no—
701C2×C4—48no—
702C2×C4—44no—
703C2×C4—48no—
704C2×C4—48no—
705C2×C4—48no—
706C2×C4—48no—
707C2×C4—416no—
708C2×C4—88no—
709C2×C4—88no—
710C2×C4—88no—
711C2×C4—88no—
712C2×C4—84no—
713C2×C4—88no—
714C2×C4—84no—
715C2×C4C23×Q818yes—
716C2×C4C23×Q818yes—
717C2×C4C23×Q812yes—
718C2×C4C23×Q812yes—
719C2×C4C23×Q814yes—
720C2×C4C22×#4118yes—
721C2×C4#58514yes—
722C22—24no—
723C22—28no—
724C22—22no—
725C22—24no—
726C22—22no—
727C22—24no—
728C22—24no—
729C22—28no—
730C22—416no—
731C22C2×#55718yes—
732C22C2×#55714yes—
733C22C24×Q811yescharacteristic
734C22C23×#4111yescharacteristic
735C22C22×2−1+411yescharacteristic
736C22C2×#58512yes—
737C22H(7,𝔽2)12yes—
738C4—28no—
739C4—28no—
740C4—22no—
741C4—22no—
742C4—24no—
743C4—28no—
744C4—24no—
745C4—48no—
746C4—48no—
747C4—48no—
748C4—42no—
749C4—44no—
750C4—48no—
751C4—44no—
752C2—24no—
753C2—28no—
754C2C22×#55711yescharacteristic
755C2#6281311yescharacteristic
756C2#6284311yescharacteristic
757C2#6290312yes—
758C2#6299212yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC25C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59662C2semidirect
2. #59661C2semidirect
3. #43556C2semidirect
4. #43129C2semidirect
5. #39752C2semidirect
6. #39748C2semidirect
7. #39748C2semidirect
8. #36599C2semidirect
23. #2809C22semidirect
24. #2806C22semidirect
25. #2802C22semidirect
26. #2802C22semidirect
27. #2799C22semidirect
28. #2799C22semidirect
29. #2791C22semidirect
30. #2791C22semidirect
31. #2774C22semidirect
32. #2774C22semidirect
33. #2713C22semidirect
34. #2713C22semidirect
38. #2590C22semidirect
39. #2590C22semidirect
40. #2588C22semidirect
41. #2588C22semidirect
42. #2585C22semidirect
43. #2585C22semidirect
44. #2581C22semidirect
53. #2565C22semidirect
54. #2552C22semidirect
59. #2546C22semidirect
60. #2520C22semidirect
61. #2520C22semidirect
62. #2511C22semidirect
63. #2511C22semidirect
64. #2509C22semidirect
73. #2462C22semidirect
74. #2462C22semidirect
75. #2453C22semidirect
76. #2451C22semidirect
77. #2446C22semidirect
78. #2446C22semidirect
86. #2370C22semidirect
94. #2365C22semidirect
98. #2355C22semidirect
141. C2×C22⋊Q8Q8semidirect

Maximal subgroups

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

subgroupindex
#596622
#596612
#435562
#431292
#397522
#397482
#365992
#353682
#350022
C2×#25692
#342702
#342122
C2×#23682
C4×#5432