Finite Group Databasebeta

← #8077083

Subgroups — #8077083

Order 512.

4429 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59933C213yesmaximal, complemented
2#59929C216yesmaximal, complemented
3#51796C216yesmaximal, complemented
4#51604C216yesmaximal, complemented
5#51600C216yesmaximal, complemented
6#47018C211yesmaximal, characteristic, complemented
7#46432C212yesmaximal, complemented
8#46431C213yesmaximal, complemented
9#43512C213yesmaximal, complemented
10#43122C216yesmaximal, complemented
11#43121C216yesmaximal, complemented
12#43081C213yesmaximal, complemented
13#39674C216yesmaximal, complemented
14#39630C213yesmaximal, complemented
15#34524C213yesmaximal
16C2×H(3,𝔽4)C2211yescharacteristic
17#2859C2213yescomplemented
18#2842C2211yescharacteristic, complemented
19#2840C2211yescharacteristic, complemented
20#2807C2216yescomplemented
21#2807C2216yescomplemented
22#2807C2213yescomplemented
23#2806C2216yescomplemented
24#2804C2216yes—
25#2799C2213yescomplemented
26#2799C2213yescomplemented
27#2799C2216yescomplemented
28#2790C2216yescomplemented
29#2788C2216yescomplemented
30#2788C2216yescomplemented
31#2788C2216yescomplemented
32#2788C2216yescomplemented
33#2788C2216yescomplemented
34#2784C2216yes—
35#2780C2216yes—
36#2780C2216yes—
37#2768C2216yescomplemented
38#2768C2216yescomplemented
39#2768C2216yescomplemented
40#2763C2216yescomplemented
41#2763C2213yescomplemented
42#2748C2216yes—
43#2748C2216yes—
44#2742C2213yescomplemented
45#2742C2216yescomplemented
46#2732C2216yes—
47#2729C2216yescomplemented
48#2720C2216yescomplemented
49#2704C2216yescomplemented
50#2692C2216yes—
51#2692C2216yes—
52#2677C2213yescomplemented
53#2660C2216yescomplemented
54#2647C2216yescomplemented
55#2647C2216yescomplemented
56#2612C2216yescomplemented
57#2612C2216yescomplemented
58#2612C2213yescomplemented
59#2612C2213yescomplemented
60#2589C2216yescomplemented
61#2589C2216yescomplemented
62#2589C2216yescomplemented
63#2589C2216yescomplemented
64#2587C2216yescomplemented
65#2587C2216yescomplemented
66#2583C2216yescomplemented
67#2583C2216yescomplemented
68#2582C2216yescomplemented
69#2581C2213yescomplemented
70#2580C2216yes—
71#2580C2213yes—
72#2579C2216yes—
73#2564C2216yes—
74#2556C2216yescomplemented
75#2556C2216yescomplemented
76#2549C2213yescomplemented
77#2549C2213yescomplemented
78#2522C2216yescomplemented
79#2522C2216yescomplemented
80#2522C2216yescomplemented
81#2522C2216yescomplemented
82#2505C2216yescomplemented
83#2505C2216yescomplemented
84#2497C2216yescomplemented
85#2492C2216yescomplemented
86#2487C2213yes—
87#2487C2216yes—
88#2473C2216yescomplemented
89#2473C2216yescomplemented
90#2473C2216yescomplemented
91#2473C2216yescomplemented
92#2465C2216yescomplemented
93#2465C2216yescomplemented
94#2454C2216yes—
95#2454C2216yes—
96#2453C2216yescomplemented
97#2453C2216yescomplemented
98#2452C2216yes—
99#2451C2216yescomplemented
100#2450C2216yes—
101#2450C2216yes—
102#2449C2216yes—
103#2449C2216yes—
104#2437C2216yescomplemented
105#2437C2213yescomplemented
106#2437C2216yescomplemented
107#2437C2213yescomplemented
108#2429C2216yescomplemented
109#2423C2216yescomplemented
110#2417C2216yes—
111#2409C2213yes—
112C2×#399C2213yescomplemented
113C2×#396C2212yescomplemented
114C2×#393C2211yescharacteristic, complemented
115#2379C2216yes—
116#2379C2213yes—
117#2372C2216yes—
118#2372C2216yes—
119#2372C2216yes—
120#2368C2216yescomplemented
121#2360C2216yescomplemented
122#2358C2216yes—
123#2358C2216yes—
124#2358C2213yes—
125#2358C2213yes—
126#2351C2213yescomplemented
127#2349C2213yes—
128D4×C4⋊C4C2216yes—
129#2345C2213yescomplemented
130Q8×C22⋊C4C2213yescomplemented
131#2326C2216yes—
132#2326C2216yes—
133#2326C2216yes—
134#2321C2213yes—
135#2321C2216yes—
136#2321C2216yes—
137#2321C2213yes—
138#2315C2213yescomplemented
139#2315C2213yescomplemented
140C4×#124C2216yes—
141C4×#124C2213yes—
142#2295C2213yescomplemented
143#2295C2216yescomplemented
144C23×Q8C2311yescharacteristic
145H(3,𝔽4)Q8116yescomplemented
146C2×C4⋊Q8C2316yes—
147C2×#125C2316yes—
148C2×#125C2316yes—
149C2×#124C2313yes—
150C2×#124C2316yes—
151C2×C22⋊Q8C2316yes—
152C2×C22⋊Q8C2316yes—
153C2×C22⋊Q8C2316yes—
154C2×C22⋊Q8C2316yes—
155C2×C22⋊Q8C2316yes—
156C2×C22⋊Q8C2316yes—
157C2×#120C2313yes—
158C2×#120C2311yescharacteristic
159C2×#120C2312yes—
160C2×C4×Q8C2313yes—
161C2×C4×Q8C2316yes—
162C2×C4×Q8C2313yes—
163C2×C4×Q8C2316yes—
164C2×C4×D4C2313yes—
165C2×C4×D4C2316yes—
166C2×C4×D4C2316yes—
167C2×C4×D4C2316yes—
168C2×C4×D4C2316yes—
169C22×C4⋊C4C2313yes—
170C22×C4⋊C4C2316yes—
171C22×C4⋊C4C2316yes—
172C22×C22⋊C4C2313yes—
173C22×C22⋊C4C2313yes—
174C22×C22⋊C4C2316yes—
175C22×C22⋊C4C2316yes—
176#400C2316yes—
177#400C2316yes—
178#400C2313yes—
179#400C2316yes—
180#400C2316yes—
181#400C2316yes—
182#400C2316yes—
183#400C2313yes—
184#400C2316yes—
185#400C2316yes—
186#400C2316yes—
187#400C2316yes—
188#399C2316yes—
189#399C2311yescharacteristic
190#399C2316yes—
191#399C2313yes—
192#399C2313yes—
193#399C2316yes—
194#399C2316yes—
195#399C2316yes—
196#399C2316yes—
197#399C2313yes—
198#398C2316yes—
199#398C2316yes—
200#398C2316yes—
201#398C2316yes—
202#398C2316yes—
203#398C2316yes—
204#398C2316yes—
205#398C2316yes—
206#398C2316yes—
207#398C2316yes—
208#398C2316yes—
209#398C2316yes—
210#398C2316yes—
211#398C2316yes—
212#398C2316yes—
213#398C2316yes—
214#398C2316yes—
215#398C2316yes—
216#396C2316yes—
217#396C2316yes—
218#396C2316yes—
219#396C2312yes—
220#396C2316yes—
221#396C2312yes—
222#396C2312yes—
223#396C2316yes—
224#396C2316yes—
225#396C2316yes—
226#396C2316yes—
227#396C2316yes—
228#395C2316yes—
229#395C2316yes—
230#395C2316yes—
231#395C2316yes—
232#395C2316yes—
233#395C2313yes—
234#395C2313yes—
235#395C2316yes—
236#393C2316yes—
237#393C2313yes—
238#393C2313yes—
239#393C2316yes—
240#393C2313yes—
241#393C2313yes—
242#393C2316yes—
243#393C2312yes—
244#393C2316yes—
245#391C2316yes—
246#391C2316yes—
247#391C2316yes—
248#391C2316yes—
249#391C2316yes—
250#391C2316yes—
251#391C2316yes—
252#391C2316yes—
253#391C2316yes—
254#391C2316yes—
255#391C2316yes—
256#391C2316yes—
257#391C2313yes—
258#391C2316yes—
259#390C2316yes—
260#390C2316yes—
261#390C2316yes—
262#390C2316yes—
263#390C2313yes—
264#389C2316yes—
265#389C2316yes—
266#389C2316yes—
267#389C2316yes—
268#389C2316yes—
269#389C2316yes—
270#389C2316yes—
271#389C2316yes—
272#389C2316yes—
273#389C2316yes—
274#389C2316yes—
275#389C2316yes—
276#389C2316yes—
277#389C2316yes—
278#389C2316yes—
279#389C2316yes—
280#389C2316yes—
281#389C2316yes—
282#389C2316yes—
283#389C2316yes—
284#389C2316yes—
285#388C2316yes—
286#388C2316yes—
287#388C2316yes—
288#388C2316yes—
289#388C2316yes—
290#388C2316yes—
291#388C2316yes—
292#388C2316yes—
293#388C2316yes—
294#388C2316yes—
295#388C2316yes—
296#388C2316yes—
297#388C2316yes—
298#388C2316yes—
299#388C2316yes—
300#388C2316yes—
301#388C2316yes—
302#388C2316yes—
303#387C2316yes—
304#387C2316yes—
305#387C2316yes—
306#387C2316yes—
307#387C2316yes—
308#387C2316yes—
309#387C2316yes—
310#387C2316yes—
311#387C2316yes—
312#387C2316yes—
313#387C2316yes—
314#387C2316yes—
315#387C2316yes—
316#387C2316yes—
317#387C2316yes—
318#387C2316yes—
319#387C2316yes—
320#387C2316yes—
321#386C2313yes—
322#386C2316yes—
323#386C2316yes—
324#386C2316yes—
325#386C2316yes—
326#386C2316yes—
327#386C2316yes—
328#386C2316yes—
329#386C2313yes—
330#386C2316yes—
331#385C2316yes—
332#385C2316yes—
333#385C2316yes—
334#385C2316yes—
335#385C2316yes—
336#385C2316yes—
337#385C2316yes—
338#385C2316yes—
339#385C2316yes—
340#385C2316yes—
341#385C2316yes—
342#385C2313yes—
343#385C2313yes—
344#385C2316yes—
345#385C2316yes—
346#385C2316yes—
347#385C2316yes—
348#385C2316yes—
349#385C2316yes—
350#385C2316yes—
351#385C2316yes—
352#385C2316yes—
353#385C2316yes—
354#385C2316yes—
355#385C2316yes—
356#385C2316yes—
357#385C2316yes—
358#385C2316yes—
359#385C2316yes—
360#385C2316yes—
361#384C2316yes—
362#384C2316yes—
363#382C2313yes—
364#382C2316yes—
365#382C2313yes—
366#382C2313yes—
367#382C2316yes—
368#380C2316yes—
369#380C2316yes—
370#380C2313yes—
371#380C2313yes—
372#380C2313yes—
373#380C2316yes—
374#380C2313yes—
375#380C2316yes—
376#380C2316yes—
377#380C2316yes—
378#380C2316yes—
379#380C2316yes—
380#379C2313yes—
381#379C2313yes—
382C4×C4⋊C4C2316yes—
383C4×C4⋊C4C2316yes—
384C4×C4⋊C4C2313yes—
385C4×C4⋊C4C2316yes—
386C4×C4⋊C4C2316yes—
387C4×C22⋊C4C2316yes—
388C4×C22⋊C4C2316yes—
389C4×C22⋊C4C2313yes—
390C4×C22⋊C4C2313yes—
391C4×C22⋊C4C2316yes—
392C4×C22⋊C4C2316yes—
393C4×C22⋊C4C2316yes—
394C4×C22⋊C4C2316yes—
395C4×C22⋊C4C2316yes—
396C4×C22⋊C4C2316yes—
397#376C2316yes—
398#376C2316yes—
399#376C2316yes—
400C2×#95C2313yes—
401C2×#95C2313yes—
402C2×#95C2312yes—
403C43C2313yes—
404C25C2411yescharacteristic
405C25C2411yescharacteristic
406C22×Q8—46no—
407C22×Q8C2413yes—
408C22×Q8C2413yes—
409C22×Q8C2416yes—
410C22×Q8C2411yescharacteristic
411C22×Q8C2413yes—
412C22×D4C2413yes—
413C22×D4C2416yes—
414C23×C4C2413yes—
415C23×C4C2413yes—
416C23×C4C2413yes—
417C23×C4C2416yes—
418C23×C4C2416yes—
419C23×C4C2416yes—
420C23×C4C2416yes—
421C23×C4C2413yes—
422C4⋊Q8—86no—
423#125—86no—
424#125—86no—
425#124C2×Q8124yes—
426#124C2×Q8148yescomplemented
427C22⋊Q8—412no—
428C22⋊Q8—412no—
429C22⋊Q8—86no—
430C22⋊Q8—86no—
431C22⋊Q8—86no—
432C22⋊Q8—86no—
433#120C2×Q8124yes—
434#120C2×Q818yes—
435#120C2×Q8116yescomplemented
436C4×Q8—46no—
437C4×Q8—46no—
438C4×Q8—412no—
439C4×Q8—86no—
440C4×D4—412no—
441C4×D4—46no—
442C4×D4—86no—
443C4×D4—86no—
444C4×D4—86no—
445C2×C4⋊C4—46no—
446C2×C4⋊C4—86no—
447C2×C4⋊C4—86no—
448C2×C4⋊C4C2416yes—
449C2×C4⋊C4C2416yes—
450C2×C4⋊C4C2416yes—
451C2×C4⋊C4C2416yes—
452C2×C4⋊C4C2416yes—
453C2×C4⋊C4C2416yes—
454C2×C4⋊C4C2416yes—
455C2×C4⋊C4C2416yes—
456C2×C4⋊C4C2416yes—
457C2×C4⋊C4C2413yes—
458C2×C4⋊C4C2413yes—
459C2×C4⋊C4C2416yes—
460C2×C4⋊C4C2416yes—
461C2×C4⋊C4C2416yes—
462C2×C4⋊C4C2413yes—
463C2×C4⋊C4C2416yes—
464C2×C4⋊C4C2416yes—
465C2×C4⋊C4C2416yes—
466C2×C4⋊C4C2416yes—
467C2×C4⋊C4C2416yes—
468C2×C4⋊C4C2416yes—
469C2×C4⋊C4C2413yes—
470C2×C4⋊C4C2416yes—
471C2×C4⋊C4C2413yes—
472C2×C4⋊C4C2416yes—
473C2×C4⋊C4C2416yes—
474C2×C4⋊C4C2416yes—
475C2×C4⋊C4C2416yes—
476C2×C4⋊C4C2416yes—
477C2×C4⋊C4C2416yes—
478C2×C4⋊C4C2416yes—
479C2×C4⋊C4C2416yes—
480C2×C4⋊C4C2416yes—
481C2×C4⋊C4C2416yes—
482C2×C4⋊C4C2416yes—
483C2×C22⋊C4—46no—
484C2×C22⋊C4—46no—
485C2×C22⋊C4—86no—
486C2×C22⋊C4—86no—
487C2×C22⋊C4C2416yes—
488C2×C22⋊C4C2416yes—
489C2×C22⋊C4C2416yes—
490C2×C22⋊C4C2416yes—
491C2×C22⋊C4C2416yes—
492C2×C22⋊C4C2416yes—
493C2×C22⋊C4C2416yes—
494C2×C22⋊C4C2416yes—
495C2×C22⋊C4C2416yes—
496C2×C22⋊C4C2416yes—
497C2×C22⋊C4C2416yes—
498C2×C22⋊C4C2416yes—
499C2×C22⋊C4C2416yes—
500C2×C22⋊C4C2416yes—
501C2×C22⋊C4C2413yes—
502C2×C22⋊C4C2413yes—
503C2×C22⋊C4C2413yes—
504C2×C22⋊C4C2413yes—
505C2×C22⋊C4C2416yes—
506C2×C22⋊C4C2416yes—
507C2×C22⋊C4C2413yes—
508C2×C22⋊C4C2416yes—
509C2×C22⋊C4C2413yes—
510C2×C22⋊C4C2416yes—
511C2×C42C2413yes—
512C2×C42C2416yes—
513C2×C42C2416yes—
514C2×C42C2416yes—
515C2×C42C2416yes—
516C2×C42C2416yes—
517C2×C42C2416yes—
518C2×C42C2416yes—
519C2×C42C2413yes—
520C2×C42C2416yes—
521C2×C42C2413yes—
522#95C2413yes—
523#95C2416yes—
524#95C2413yes—
525#95C2413yes—
526#95C2416yes—
527#95C2416yes—
528#95C2412yes—
529#95C2416yes—
530#95C2416yes—
531#95C2416yes—
532#95C2416yes—
533#95C2416yes—
534#95C2416yes—
535#95C2416yes—
536#95C2416yes—
537#95C2416yes—
538#95C2416yes—
539#95C2416yes—
540#95C2416yes—
541#95C2416yes—
542#95C2416yes—
543#95C2416yes—
544#95C2416yes—
545#95C2416yes—
546#95C2416yes—
547#95C2413yes—
548#95C2416yes—
549#95C2416yes—
550#95C2416yes—
551#95C2416yes—
552#95C2416yes—
553#95C2413yes—
554#95C2416yes—
555#95C2413yes—
556#95C2416yes—
557#95C2416yes—
558#95C2413yes—
559#95C2416yes—
560#95C2413yes—
561#95C2413yes—
562#95C2411yescharacteristic
563C24—43no—
564C24—43no—
565C24—43no—
566C24—43no—
567C24C22×Q814yes—
568C24C22×Q814yes—
569C24C2512yes—
570C24C2513yes—
571C24C2511yescharacteristic
572C2×Q8—212no—
573C2×Q8—43no—
574C2×Q8—43no—
575C2×Q8—43no—
576C2×Q8—43no—
577C2×Q8—46no—
578C2×Q8—43no—
579C2×Q8—46no—
580C2×Q8—46no—
581C2×Q8—46no—
582C2×Q8—88no—
583C2×Q8C22×Q8112yes—
584C2×D4—46no—
585C2×D4—43no—
586C2×D4—43no—
587C2×D4—46no—
588C2×D4C22×Q8112yes—
589C2×D4C22×Q8124yes—
590C22×C4—26no—
591C22×C4—26no—
592C22×C4—46no—
593C22×C4—46no—
594C22×C4—46no—
595C22×C4—46no—
596C22×C4—46no—
597C22×C4—46no—
598C22×C4—46no—
599C22×C4—46no—
600C22×C4—43no—
601C22×C4—43no—
602C22×C4—46no—
603C22×C4—46no—
604C22×C4—46no—
605C22×C4—46no—
606C22×C4—46no—
607C22×C4—46no—
608C22×C4—46no—
609C22×C4—46no—
610C22×C4C2513yes—
611C22×C4C2513yes—
612C22×C4C2516yes—
613C22×C4C2516yes—
614C22×C4C2516yes—
615C22×C4C2516yes—
616C22×C4C2516yes—
617C22×C4C2516yes—
618C22×C4C2513yes—
619C22×C4C2516yes—
620C22×C4C2513yes—
621C22×C4C2513yes—
622C4⋊C4—212no—
623C4⋊C4—212no—
624C4⋊C4—43no—
625C4⋊C4—43no—
626C4⋊C4—46no—
627C4⋊C4—46no—
628C4⋊C4—46no—
629C4⋊C4—46no—
630C4⋊C4—46no—
631C4⋊C4—46no—
632C4⋊C4—46no—
633C4⋊C4—46no—
634C4⋊C4—43no—
635C4⋊C4—46no—
636C4⋊C4—46no—
637C4⋊C4—46no—
638C4⋊C4—46no—
639C4⋊C4—43no—
640C4⋊C4—46no—
641C4⋊C4—43no—
642C4⋊C4—46no—
643C4⋊C4—46no—
644C4⋊C4—46no—
645C4⋊C4—46no—
646C4⋊C4—46no—
647C4⋊C4—46no—
648C4⋊C4—46no—
649C4⋊C4—46no—
650C4⋊C4—46no—
651C4⋊C4—46no—
652C4⋊C4—46no—
653C4⋊C4—46no—
654C4⋊C4—46no—
655C4⋊C4—46no—
656C4⋊C4—46no—
657C22⋊C4—212no—
658C22⋊C4—212no—
659C22⋊C4—46no—
660C22⋊C4—46no—
661C22⋊C4—46no—
662C22⋊C4—46no—
663C22⋊C4—46no—
664C22⋊C4—46no—
665C22⋊C4—46no—
666C22⋊C4—46no—
667C22⋊C4—46no—
668C22⋊C4—46no—
669C22⋊C4—43no—
670C22⋊C4—43no—
671C22⋊C4—46no—
672C22⋊C4—46no—
673C22⋊C4—46no—
674C22⋊C4—46no—
675C22⋊C4—43no—
676C22⋊C4—43no—
677C22⋊C4C22×Q8112yes—
678C22⋊C4C22×Q8124yes—
679C22⋊C4C22×Q8112yes—
680C22⋊C4C22×Q8124yes—
681C42—26no—
682C42—212no—
683C42—46no—
684C42—46no—
685C42—46no—
686C42—46no—
687C42—46no—
688C42—46no—
689C42—43no—
690C42—46no—
691C42C22×Q8112yes—
692C23—26no—
693C23—26no—
694C23—23no—
695C23—23no—
696C23—23no—
697C23—23no—
698C23—26no—
699C23—26no—
700C23—412no—
701C23—412no—
702C23—161no—
703C23—161no—
704C23—163no—
705C23—163no—
706C23C23×Q812yes—
707C23C23×Q814yes—
708C23C23×Q816yes—
709C23C2611yescharacteristic
710Q8—412no—
711Q8—412no—
712Q8—86no—
713Q8—82no—
714Q8—166no—
715D4—412no—
716D4—424no—
717C2×C4—23no—
718C2×C4—26no—
719C2×C4—26no—
720C2×C4—23no—
721C2×C4—26no—
722C2×C4—23no—
723C2×C4—26no—
724C2×C4—26no—
725C2×C4—26no—
726C2×C4—26no—
727C2×C4—26no—
728C2×C4—26no—
729C2×C4—26no—
730C2×C4—26no—
731C2×C4—23no—
732C2×C4—23no—
733C2×C4—26no—
734C2×C4—26no—
735C2×C4—26no—
736C2×C4—26no—
737C2×C4—26no—
738C2×C4—26no—
739C2×C4—26no—
740C2×C4—26no—
741C2×C4—26no—
742C2×C4—26no—
743C2×C4—26no—
744C2×C4—26no—
745C2×C4—26no—
746C2×C4—86no—
747C2×C4—86no—
748C2×C4—812no—
749C2×C4—812no—
750C2×C4—163no—
751C2×C4—163no—
752C2×C4—166no—
753C2×C4—166no—
754C2×C4C23×Q8112yes—
755C2×C4C23×Q816yes—
756C2×C4#58516yes—
757C22—212no—
758C22—212no—
759C22—26no—
760C22—26no—
761C22—41no—
762C22—43no—
763C22—42no—
764C22—46no—
765C22—46no—
766C22—43no—
767C22—43no—
768C22—164no—
769C22—164no—
770C22C24×Q811yescharacteristic
771C22C2×#58513yes—
772C22H(7,𝔽2)13yes—
773C4—26no—
774C4—212no—
775C4—26no—
776C4—43no—
777C4—43no—
778C4—46no—
779C4—46no—
780C4—46no—
781C4—46no—
782C4—46no—
783C4—46no—
784C4—43no—
785C2—42no—
786C2—46no—
787C2—44no—
788C2#6288513yes—
789C2#6298913yes—
790C2#6302611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×H(3,𝔽4)C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59933C2semidirect
2. #59929C2semidirect
3. #51796C2semidirect
4. #51604C2semidirect
5. #51600C2semidirect
6. #47018C2semidirect
7. #46432C2semidirect
8. #46431C2semidirect
9. #43512C2semidirect
10. #43122C2semidirect
11. #43121C2semidirect
12. #43081C2semidirect
13. #39674C2semidirect
14. #39630C2semidirect
17. #2859C22semidirect
18. #2842C22semidirect
19. #2840C22semidirect
20. #2807C22semidirect
21. #2807C22semidirect
22. #2807C22semidirect
23. #2806C22semidirect
25. #2799C22semidirect
26. #2799C22semidirect
27. #2799C22semidirect
28. #2790C22semidirect
29. #2788C22semidirect
30. #2788C22semidirect
31. #2788C22semidirect
32. #2788C22semidirect
33. #2788C22semidirect
37. #2768C22semidirect
38. #2768C22semidirect
39. #2768C22semidirect
40. #2763C22semidirect
41. #2763C22semidirect
44. #2742C22semidirect
45. #2742C22semidirect
47. #2729C22semidirect
48. #2720C22semidirect
49. #2704C22semidirect
52. #2677C22semidirect
53. #2660C22semidirect
54. #2647C22semidirect
55. #2647C22semidirect
56. #2612C22semidirect
57. #2612C22semidirect
58. #2612C22semidirect
59. #2612C22semidirect
60. #2589C22semidirect
61. #2589C22semidirect
62. #2589C22semidirect
63. #2589C22semidirect
64. #2587C22semidirect
65. #2587C22semidirect
66. #2583C22semidirect
67. #2583C22semidirect
68. #2582C22semidirect
69. #2581C22semidirect
74. #2556C22semidirect
75. #2556C22semidirect
76. #2549C22semidirect
77. #2549C22semidirect
78. #2522C22semidirect
79. #2522C22semidirect
80. #2522C22semidirect
81. #2522C22semidirect
82. #2505C22semidirect
83. #2505C22semidirect
84. #2497C22semidirect
85. #2492C22semidirect
88. #2473C22semidirect
89. #2473C22semidirect
90. #2473C22semidirect
91. #2473C22semidirect
92. #2465C22semidirect
93. #2465C22semidirect
96. #2453C22semidirect
97. #2453C22semidirect
99. #2451C22semidirect
104. #2437C22semidirect
105. #2437C22semidirect
106. #2437C22semidirect
107. #2437C22semidirect
108. #2429C22semidirect
109. #2423C22semidirect
112. C2×#399C22semidirect
113. C2×#396C22semidirect
114. C2×#393C22semidirect
120. #2368C22semidirect
121. #2360C22semidirect
126. #2351C22semidirect
129. #2345C22semidirect
130. Q8×C22⋊C4C22semidirect
138. #2315C22semidirect
139. #2315C22semidirect
142. #2295C22semidirect
143. #2295C22semidirect
145. H(3,𝔽4)Q8semidirect
426. #124C2×Q8semidirect
435. #120C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599332
#599292
#517962
#516042
#516002
#470182
#464322
#464312
#435122
#431222
#431212
#430812
#396742
#396302
#345242