Finite Group Databasebeta

← #7688987

Subgroups — #7688987

Order 512.

5934 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59905C213yesmaximal, complemented
2#59476C213yesmaximal, complemented
3#59375C213yesmaximal, complemented
4#59275C213yesmaximal, complemented
5#59204C213yesmaximal, complemented
6#45013C213yesmaximal, complemented
7#45006C213yesmaximal, complemented
8#45003C213yesmaximal, complemented
9#44995C213yesmaximal, complemented
10#39064C213yesmaximal, complemented
11#39044C213yesmaximal, complemented
12#38062C213yesmaximal, complemented
13#37858C213yesmaximal, complemented
14#36456C211yesmaximal, characteristic, complemented
15#36448C211yesmaximal, characteristic, complemented
16#36433C211yesmaximal, characteristic, complemented
17#36432C211yesmaximal, characteristic, complemented
18#36429C211yesmaximal, characteristic
19#36368C213yesmaximal, complemented
20#36183C213yesmaximal, complemented
21#36005C211yesmaximal, characteristic, complemented
22#35948C211yesmaximal, characteristic, complemented
23#35920C211yesmaximal, characteristic, complemented
24#35748C211yesmaximal, characteristic, complemented
25#34849C213yesmaximal, complemented
26#34295C211yesmaximal, characteristic, complemented
27#34263C211yesmaximal, characteristic, complemented
28#34193C211yesmaximal, characteristic, complemented
29#34175C211yesmaximal, characteristic, complemented
30C4×#550C211yesmaximal, characteristic, complemented
31C22⋊C4×#41C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C2×Q82C2211yescharacteristic, complemented
34C2×#551C2216yes—
35C2×#550C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#548C2211yescharacteristic
38C2×#520C2211yescharacteristic
39C2×#520C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic, complemented
43#2863C2213yescomplemented
44#2857C2213yescomplemented
45#2855C2213yescomplemented
46#2854C2213yescomplemented
47#2847C2213yes—
48#2778C2216yescomplemented
49#2760C2216yescomplemented
50#2749C2216yescomplemented
51#2745C2216yescomplemented
52#2743C2216yescomplemented
53#2743C2216yescomplemented
54#2740C2216yescomplemented
55#2737C2216yescomplemented
56#2696C2216yescomplemented
57#2696C2216yescomplemented
58#2696C2216yescomplemented
59#2693C2216yescomplemented
60#2685C2216yes—
61#2684C2216yes—
62#2645C2213yescomplemented
63#2640C2213yescomplemented
64#2628C2213yescomplemented
65#2624C2213yescomplemented
66#2600C2216yescomplemented
67#2598C2216yescomplemented
68#2592C2213yescomplemented
69#2580C2213yescomplemented
70#2578C2213yes—
71#2578C2216yescomplemented
72#2577C2213yes—
73#2576C2213yescomplemented
74#2575C2213yescomplemented
75#2574C2211yescharacteristic
76#2573C2213yescomplemented
77#2572C2213yescomplemented
78#2572C2216yescomplemented
79#2569C2213yescomplemented
80#2564C2213yescomplemented
81#2564C2216yescomplemented
82#2563C2213yescomplemented
83#2561C2213yes—
84#2553C2213yes—
85#2547C2213yes—
86#2542C2213yescomplemented
87#2538C2213yescomplemented
88#2534C2213yes—
89#2521C2216yes—
90#2516C2216yescomplemented
91#2514C2213yescomplemented
92#2514C2213yescomplemented
93#2511C2213yescomplemented
94#2511C2213yescomplemented
95#2511C2213yescomplemented
96#2511C2213yescomplemented
97#2510C2216yescomplemented
98#2501C2213yescomplemented
99#2500C2213yescomplemented
100#2499C2213yescomplemented
101#2498C2216yescomplemented
102#2496C2213yes—
103#2496C2213yes—
104#2496C2213yes—
105#2496C2213yes—
106#2495C2213yes—
107#2494C2213yes—
108#2493C2213yescomplemented
109#2492C2213yescomplemented
110#2492C2213yescomplemented
111#2491C2213yes—
112#2491C2213yes—
113#2488C2216yescomplemented
114#2487C2213yescomplemented
115#2485C2213yes—
116#2485C2213yescomplemented
117#2480C2213yes—
118#2480C2216yes—
119#2477C2216yescomplemented
120#2477C2216yescomplemented
121#2472C2216yes—
122#2471C2216yescomplemented
123#2463C2216yescomplemented
124#2457C2216yescomplemented
125#2452C2213yescomplemented
126#2452C2213yescomplemented
127#2452C2213yescomplemented
128#2452C2213yescomplemented
129#2447C2213yescomplemented
130#2447C2213yescomplemented
131#2445C2213yescomplemented
132#2445C2213yescomplemented
133#2445C2213yescomplemented
134#2445C2213yescomplemented
135#2440C2213yescomplemented
136#2440C2213yescomplemented
137#2439C2213yescomplemented
138#2439C2213yescomplemented
139#2433C2213yes—
140#2431C2213yes—
141#2431C2213yes—
142#2422C2213yes—
143#2422C2213yescomplemented
144#2422C2213yescomplemented
145#2422C2213yescomplemented
146#2420C2213yes—
147#2420C2213yescomplemented
148#2419C2213yescomplemented
149#2418C2213yes—
150#2412C2216yes—
151#2408C2213yes—
152#2407C2213yes—
153#2407C2213yes—
154#2401C2213yes—
155#2398C2213yes—
156#2396C2213yescomplemented
157#2395C2213yescomplemented
158#2368C2216yescomplemented
159#2366C2213yescomplemented
160#2366C2213yescomplemented
161#2363C2213yescomplemented
162#2363C2213yescomplemented
163#2363C2213yescomplemented
164#2361C2213yescomplemented
165#2359C2216yescomplemented
166#2357C2213yescomplemented
167#2354C2213yescomplemented
168#2354C2213yescomplemented
169#2354C2213yescomplemented
170#2354C2213yescomplemented
171#2352C2213yescomplemented
172#2351C2211yescharacteristic, complemented
173#2351C2211yescharacteristic, complemented
174#2351C2211yescharacteristic, complemented
175Q8×C4⋊C4C2211yescharacteristic, complemented
176Q8×C4⋊C4C2211yescharacteristic, complemented
177Q8×C4⋊C4C2211yescharacteristic, complemented
178Q8×C4⋊C4C2211yescharacteristic, complemented
179Q8×C4⋊C4C2211yescharacteristic, complemented
180#2347C2213yescomplemented
181#2347C2213yescomplemented
182#2345C2213yescomplemented
183#2344C2213yescomplemented
184#2341C2211yescharacteristic
185#2341C2211yescharacteristic
186#2341C2211yescharacteristic
187#2341C2211yescharacteristic
188#2341C2211yescharacteristic
189#2341C2211yescharacteristic
190#2341C2211yescharacteristic, complemented
191#2341C2211yescharacteristic, complemented
192#2341C2211yescharacteristic, complemented
193Q8×C22⋊C4C2211yescharacteristic
194Q8×C22⋊C4C2211yescharacteristic
195Q8×C22⋊C4C2211yescharacteristic
196Q8×C22⋊C4C2211yescharacteristic
197Q8×C22⋊C4C2211yescharacteristic
198#2339C2213yes—
199#2339C2213yes—
200#2339C2213yes—
201#2339C2213yes—
202D4×C22⋊C4C2213yes—
203D4×C22⋊C4C2213yes—
204D4×C22⋊C4C2213yes—
205D4×C22⋊C4C2213yes—
206#2328C2213yescomplemented
207#2324C2213yescomplemented
208#2319C2213yescomplemented
209#2319C2213yescomplemented
210#2319C2213yescomplemented
211#2314C2213yescomplemented
212#2311C2213yes—
213#2311C2213yes—
214C4×#127C2213yescomplemented
215C4×#126C2213yes—
216C4×C22⋊Q8C2213yescomplemented
217C4×#123C2213yes—
218C4×#123C2213yescomplemented
219C4×#121C2213yescomplemented
220C4×#121C2213yescomplemented
221C4×#121C2213yescomplemented
222C4×#120C2213yes—
223#2298C2213yescomplemented
224#2297C2213yes—
225#2297C2213yes—
226#2293C2213yescomplemented
227#2290C2213yescomplemented
228#2285C2213yescomplemented
229#2283C2213yescomplemented
230#2280C2213yes—
231#2280C2213yes—
232C2×#380C2213yes—
233#2276C2211yescharacteristic, complemented
234#2276C2211yescharacteristic, complemented
235C42×Q8C2211yescharacteristic, complemented
236C42×D4C2213yescomplemented
237C2×C4×C22⋊C4C2213yes—
238C22×#41—28no—
239C22×#41—28no—
240C22×#41—44no—
241C22×#41C2311yescharacteristic
242C22×#41C2313yes—
243C22×#41C2313yes—
244C22×#41C2311yescharacteristic
245C22×#41C2311yescharacteristic
246C23×Q8C2311yescharacteristic
247C23×D4C2313yes—
248C24×C4C2313yes—
249Q82—44no—
250#551—424no—
251#550—28no—
252#550—28no—
253#548—44no—
254C2×C4⋊Q8C2313yes—
255C2×C4⋊Q8C2313yes—
256C2×C4⋊Q8C2313yes—
257C2×#127C2313yes—
258C2×#127C2313yes—
259C2×#126C2313yes—
260C2×#126C2316yes—
261C2×#124C2313yes—
262C2×#124C2316yes—
263C2×#123C2313yes—
264C2×#123C2316yes—
265C2×#123C2316yes—
266C2×#123C2313yes—
267C2×#123C2316yes—
268C2×C22⋊Q8C2313yes—
269C2×C22⋊Q8C2316yes—
270C2×C22⋊Q8C2313yes—
271C2×C22⋊Q8C2316yes—
272C2×C22⋊Q8C2316yes—
273C2×#121C2313yes—
274C2×#121C2313yes—
275C2×#121C2313yes—
276C2×#121C2313yes—
277C2×#121C2313yes—
278C2×#120C2316yes—
279C2×#120C2313yes—
280#520—28no—
281#520—44no—
282C4×#41—28no—
283C4×#41—44no—
284C4×#41—44no—
285C2×C4×Q8C2311yescharacteristic
286C2×C4×Q8C2311yescharacteristic
287C2×C4×Q8C2311yescharacteristic
288C2×C4×Q8C2311yescharacteristic
289C2×C4×Q8C2311yescharacteristic
290C2×C4×Q8C2311yescharacteristic
291C2×C4×Q8C2311yescharacteristic
292C2×C4×Q8C2311yescharacteristic
293C2×C4×Q8C2311yescharacteristic
294C2×C4×Q8C2311yescharacteristic
295C2×C4×Q8C2311yescharacteristic
296C2×C4×Q8C2313yes—
297C2×C4×D4C2313yes—
298C2×C4×D4C2313yes—
299C2×C4×D4C2313yes—
300C2×C4×D4C2313yes—
301C2×C4×D4C2313yes—
302C2×C4×D4C2313yes—
303C2×C4×D4C2313yes—
304C2×C4×D4C2316yes—
305C2×C4×D4C2313yes—
306C2×C4×D4C2313yes—
307C2×C4×D4C2313yes—
308C2×C4×D4C2313yes—
309C2×C4×D4C2313yes—
310C2×C4×D4C2313yes—
311C2×C4×D4C2313yes—
312C2×C4×D4C2316yes—
313C2×C4×D4C2313yes—
314C2×#117C2313yes—
315C2×#117C2313yes—
316C2×#117C2313yes—
317C2×#117C2316yes—
318C2×#117C2313yes—
319C2×#117C2316yes—
320C2×#117C2313yes—
321C22×C4⋊C4C2313yes—
322C22×C4⋊C4C2313yes—
323C22×C22⋊C4C2313yes—
324C22×C22⋊C4C2313yes—
325C22×C22⋊C4C2316yes—
326C22×C42C2313yes—
327C22×C42C2313yes—
328C22×C42C2313yes—
329#401C2313yes—
330#401C2316yes—
331#400C2313yes—
332#400C2316yes—
333#400C2313yes—
334#400C2313yes—
335#400C2316yes—
336#400C2313yes—
337#400C2313yes—
338#400C2313yes—
339#400C2313yes—
340#400C2316yes—
341#400C2316yes—
342#400C2316yes—
343#399C2316yes—
344#399C2313yes—
345#399C2313yes—
346#399C2316yes—
347#398C2311yescharacteristic
348#398C2313yes—
349#398C2313yes—
350#397C2313yes—
351#397C2313yes—
352#397C2313yes—
353#397C2313yes—
354#397C2313yes—
355#397C2313yes—
356#397C2313yes—
357#397C2313yes—
358#397C2316yes—
359#397C2316yes—
360#397C2316yes—
361#397C2316yes—
362#397C2316yes—
363#397C2316yes—
364#396C2313yes—
365#396C2311yescharacteristic
366#396C2313yes—
367#396C2316yes—
368#396C2316yes—
369#395C2311yescharacteristic
370#395C2316yes—
371#394C2316yes—
372#394C2313yes—
373#394C2313yes—
374#394C2313yes—
375#394C2316yes—
376#394C2316yes—
377#394C2316yes—
378#394C2316yes—
379#394C2313yes—
380#394C2316yes—
381#394C2316yes—
382#393C2311yescharacteristic
383#393C2313yes—
384#393C2316yes—
385#393C2316yes—
386#393C2313yes—
387#393C2316yes—
388#393C2316yes—
389#393C2316yes—
390#392C2316yes—
391#392C2316yes—
392#392C2316yes—
393#391C2313yes—
394#391C2313yes—
395#391C2313yes—
396#391C2313yes—
397#391C2311yescharacteristic
398#391C2316yes—
399#391C2313yes—
400#391C2313yes—
401#391C2313yes—
402#391C2313yes—
403#391C2313yes—
404#391C2313yes—
405#391C2316yes—
406#390C2313yes—
407#390C2313yes—
408#390C2316yes—
409#390C2316yes—
410#390C2313yes—
411#390C2313yes—
412#390C2313yes—
413#390C2313yes—
414#390C2313yes—
415#390C2313yes—
416#390C2313yes—
417#390C2313yes—
418#390C2316yes—
419#390C2313yes—
420#390C2313yes—
421#390C2313yes—
422#390C2313yes—
423#390C2313yes—
424#390C2313yes—
425#390C2313yes—
426#390C2313yes—
427#389C2313yes—
428#389C2313yes—
429#389C2313yes—
430#389C2313yes—
431#389C2313yes—
432#389C2313yes—
433#389C2313yes—
434#389C2313yes—
435#389C2313yes—
436#389C2313yes—
437#389C2313yes—
438#389C2313yes—
439#389C2313yes—
440#389C2313yes—
441#389C2313yes—
442#389C2313yes—
443#389C2313yes—
444#388C2311yescharacteristic
445#388C2313yes—
446#388C2313yes—
447#388C2313yes—
448#388C2313yes—
449#388C2313yes—
450#388C2316yes—
451#388C2316yes—
452#388C2313yes—
453#388C2316yes—
454#388C2313yes—
455#388C2313yes—
456#388C2313yes—
457#388C2311yescharacteristic
458#388C2316yes—
459#388C2316yes—
460#388C2316yes—
461#388C2316yes—
462#388C2313yes—
463#388C2313yes—
464#388C2316yes—
465#388C2316yes—
466#388C2316yes—
467#388C2316yes—
468#388C2316yes—
469#387C2313yes—
470#387C2313yes—
471#387C2313yes—
472#387C2313yes—
473#387C2313yes—
474#387C2316yes—
475#387C2313yes—
476#387C2313yes—
477#387C2313yes—
478#387C2316yes—
479#387C2313yes—
480#387C2313yes—
481#387C2311yescharacteristic
482#387C2311yescharacteristic
483#387C2311yescharacteristic
484#387C2313yes—
485#387C2313yes—
486#387C2316yes—
487#387C2316yes—
488#387C2316yes—
489#387C2316yes—
490#387C2316yes—
491#386C2316yes—
492#386C2316yes—
493#386C2313yes—
494#386C2313yes—
495#386C2316yes—
496#386C2316yes—
497#386C2316yes—
498#386C2316yes—
499#386C2313yes—
500#386C2316yes—
501#386C2316yes—
502#386C2313yes—
503#386C2313yes—
504#386C2313yes—
505#386C2313yes—
506#386C2316yes—
507#386C2316yes—
508#386C2316yes—
509#386C2316yes—
510#386C2316yes—
511#386C2316yes—
512#386C2316yes—
513#386C2316yes—
514#386C2316yes—
515#385C2313yes—
516#385C2313yes—
517#385C2313yes—
518#385C2316yes—
519#385C2313yes—
520#385C2313yes—
521#385C2313yes—
522#385C2311yescharacteristic
523#385C2316yes—
524#385C2316yes—
525#385C2313yes—
526#385C2313yes—
527#385C2316yes—
528#384C2313yes—
529#384C2313yes—
530#384C2313yes—
531#384C2313yes—
532#384C2313yes—
533#383C2313yes—
534#383C2313yes—
535#383C2313yes—
536#383C2316yes—
537#382C2313yes—
538#382C2313yes—
539#382C2311yescharacteristic
540#382C2313yes—
541#382C2313yes—
542#381C2313yes—
543#381C2313yes—
544#381C2313yes—
545#381C2313yes—
546#381C2316yes—
547#381C2313yes—
548#381C2313yes—
549#381C2316yes—
550#381C2316yes—
551#380C2313yes—
552#380C2316yes—
553#380C2316yes—
554#380C2313yes—
555#380C2316yes—
556#380C2313yes—
557#380C2313yes—
558#380C2313yes—
559#380C2313yes—
560#380C2313yes—
561#380C2311yescharacteristic
562#380C2316yes—
563#380C2313yes—
564#380C2313yes—
565#380C2313yes—
566#380C2313yes—
567#380C2313yes—
568#380C2313yes—
569#380C2313yes—
570#380C2313yes—
571#380C2313yes—
572#380C2313yes—
573#380C2313yes—
574#380C2313yes—
575#380C2313yes—
576#379C2313yes—
577#379C2313yes—
578#379C2313yes—
579#379C2316yes—
580C4×C4⋊C4C2313yes—
581C4×C4⋊C4C2313yes—
582C4×C4⋊C4C2313yes—
583C4×C4⋊C4C2313yes—
584C4×C4⋊C4C2313yes—
585C4×C4⋊C4C2313yes—
586C4×C4⋊C4C2311yescharacteristic
587C4×C4⋊C4C2313yes—
588C4×C4⋊C4C2313yes—
589C4×C4⋊C4C2313yes—
590C4×C4⋊C4C2313yes—
591C4×C4⋊C4C2313yes—
592C4×C4⋊C4C2313yes—
593C4×C4⋊C4C2313yes—
594C4×C4⋊C4C2316yes—
595C4×C4⋊C4C2313yes—
596C4×C4⋊C4C2313yes—
597C4×C4⋊C4C2313yes—
598C4×C4⋊C4C2313yes—
599C4×C4⋊C4C2313yes—
600C4×C22⋊C4C2313yes—
601C4×C22⋊C4C2313yes—
602C4×C22⋊C4C2313yes—
603C4×C22⋊C4C2313yes—
604C4×C22⋊C4C2313yes—
605C4×C22⋊C4C2313yes—
606C4×C22⋊C4C2313yes—
607C4×C22⋊C4C2316yes—
608C4×C22⋊C4C2311yescharacteristic
609C4×C22⋊C4C2313yes—
610C4×C22⋊C4C2313yes—
611C4×C22⋊C4C2316yes—
612C4×C22⋊C4C2313yes—
613C4×C22⋊C4C2313yes—
614C4×C22⋊C4C2313yes—
615C4×C22⋊C4C2313yes—
616C4×C22⋊C4C2313yes—
617C4×C22⋊C4C2313yes—
618C4×C22⋊C4C2313yes—
619C4×C22⋊C4C2313yes—
620C4×C22⋊C4C2313yes—
621C4×C22⋊C4C2313yes—
622C4×C22⋊C4C2313yes—
623C4×C22⋊C4C2316yes—
624C4×C22⋊C4C2313yes—
625#376C2313yes—
626#376C2313yes—
627C2×#95C2313yes—
628C2×#95C2313yes—
629C2×#95C2316yes—
630C43C2313yes—
631C25C2413yes—
632C2×#41—24no—
633C2×#41—24no—
634C2×#41—24no—
635C2×#41—24no—
636C2×#41—24no—
637C2×#41—24no—
638C2×#41—24no—
639C2×#41—212no—
640C2×#41—212no—
641C2×#41—212no—
642C2×#41—212no—
643C2×#41—46no—
644C2×#41—46no—
645C2×#41—464no—
646C2×#41#4118yes—
647C2×#41#4118yes—
648C22×Q8—24no—
649C22×Q8—24no—
650C22×Q8—24no—
651C22×Q8C2413yes—
652C22×Q8C2411yescharacteristic
653C22×Q8C2416yes—
654C22×Q8C2411yescharacteristic
655C22×D4—212no—
656C22×D4—212no—
657C22×D4—46no—
658C22×D4C2413yes—
659C22×D4C2413yes—
660C22×D4C2416yes—
661C22×D4C2413yes—
662C22×D4C2413yes—
663C22×D4C2413yes—
664C22×D4C2416yes—
665C22×D4C2416yes—
666C22×D4C2413yes—
667C23×C4—212no—
668C23×C4—212no—
669C23×C4—46no—
670C23×C4C2413yes—
671C23×C4C2413yes—
672C23×C4C2413yes—
673C23×C4C2411yescharacteristic
674C23×C4C2413yes—
675C23×C4C2413yes—
676C23×C4C2413yes—
677C23×C4C2413yes—
678C23×C4C2416yes—
679C23×C4C2413yes—
680C23×C4C2413yes—
681C23×C4C2413yes—
682C23×C4C2413yes—
683C23×C4C2416yes—
684C23×C4C2413yes—
685C4⋊Q8—46no—
686C4⋊Q8—46no—
687C4⋊Q8—46no—
688#127—212no—
689#127—212no—
690#126—212no—
691#126—412no—
692#124—46no—
693#124—412no—
694#123—212no—
695#123—412no—
696#123—412no—
697#123—412no—
698#123—46no—
699C22⋊Q8—412no—
700C22⋊Q8—412no—
701C22⋊Q8—412no—
702C22⋊Q8—46no—
703C22⋊Q8—46no—
704#121—212no—
705#121—212no—
706#121—212no—
707#121—212no—
708#121—46no—
709#120—46no—
710#120—412no—
711C4×Q8—24no—
712C4×Q8—24no—
713C4×Q8—24no—
714C4×Q8—24no—
715C4×Q8—24no—
716C4×Q8—24no—
717C4×Q8—24no—
718C4×Q8—24no—
719C4×Q8—24no—
720C4×Q8—24no—
721C4×Q8—24no—
722C4×Q8—46no—
723C4×D4—212no—
724C4×D4—212no—
725C4×D4—212no—
726C4×D4—212no—
727C4×D4—212no—
728C4×D4—212no—
729C4×D4—46no—
730C4×D4—46no—
731C4×D4—46no—
732C4×D4—46no—
733C4×D4—46no—
734C4×D4—46no—
735C4×D4—46no—
736C4×D4—46no—
737C4×D4—412no—
738C4×D4—46no—
739C4×D4—412no—
740#117—212no—
741#117—212no—
742#117—46no—
743#117—412no—
744#117—46no—
745#117—46no—
746#117—412no—
747C2×C4⋊C4—212no—
748C2×C4⋊C4—46no—
749C2×C4⋊C4C2413yes—
750C2×C4⋊C4C2413yes—
751C2×C4⋊C4C2413yes—
752C2×C4⋊C4C2413yes—
753C2×C4⋊C4C2413yes—
754C2×C4⋊C4C2411yescharacteristic
755C2×C4⋊C4C2413yes—
756C2×C4⋊C4C2413yes—
757C2×C4⋊C4C2413yes—
758C2×C4⋊C4C2413yes—
759C2×C4⋊C4C2413yes—
760C2×C4⋊C4C2413yes—
761C2×C4⋊C4C2413yes—
762C2×C4⋊C4C2411yescharacteristic
763C2×C4⋊C4C2411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C4⋊C4C2413yes—
766C2×C4⋊C4C2413yes—
767C2×C4⋊C4C2413yes—
768C2×C4⋊C4C2413yes—
769C2×C4⋊C4C2413yes—
770C2×C4⋊C4C2413yes—
771C2×C4⋊C4C2413yes—
772C2×C4⋊C4C2413yes—
773C2×C4⋊C4C2411yescharacteristic
774C2×C4⋊C4C2413yes—
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2416yes—
777C2×C4⋊C4C2413yes—
778C2×C4⋊C4C2416yes—
779C2×C4⋊C4C2413yes—
780C2×C4⋊C4C2413yes—
781C2×C4⋊C4C2413yes—
782C2×C4⋊C4C2416yes—
783C2×C4⋊C4C2413yes—
784C2×C4⋊C4C2416yes—
785C2×C4⋊C4C2413yes—
786C2×C4⋊C4C2416yes—
787C2×C4⋊C4C2411yescharacteristic
788C2×C4⋊C4C2411yescharacteristic
789C2×C4⋊C4C2411yescharacteristic
790C2×C4⋊C4C2413yes—
791C2×C22⋊C4—212no—
792C2×C22⋊C4—46no—
793C2×C22⋊C4—412no—
794C2×C22⋊C4C2411yescharacteristic
795C2×C22⋊C4C2413yes—
796C2×C22⋊C4C2413yes—
797C2×C22⋊C4C2413yes—
798C2×C22⋊C4C2413yes—
799C2×C22⋊C4C2413yes—
800C2×C22⋊C4C2413yes—
801C2×C22⋊C4C2413yes—
802C2×C22⋊C4C2413yes—
803C2×C22⋊C4C2416yes—
804C2×C22⋊C4C2413yes—
805C2×C22⋊C4C2413yes—
806C2×C22⋊C4C2413yes—
807C2×C22⋊C4C2413yes—
808C2×C22⋊C4C2413yes—
809C2×C22⋊C4C2411yescharacteristic
810C2×C22⋊C4C2413yes—
811C2×C22⋊C4C2413yes—
812C2×C22⋊C4C2413yes—
813C2×C22⋊C4C2416yes—
814C2×C22⋊C4C2416yes—
815C2×C22⋊C4C2413yes—
816C2×C22⋊C4C2413yes—
817C2×C22⋊C4C2413yes—
818C2×C22⋊C4C2416yes—
819C2×C22⋊C4C2413yes—
820C2×C22⋊C4C2416yes—
821C2×C22⋊C4C2416yes—
822C2×C22⋊C4C2416yes—
823C2×C22⋊C4C2411yescharacteristic
824C2×C22⋊C4C2416yes—
825C2×C22⋊C4C2416yes—
826C2×C22⋊C4C2413yes—
827C2×C22⋊C4C2413yes—
828C2×C22⋊C4C2413yes—
829C2×C22⋊C4C2413yes—
830C2×C22⋊C4C2413yes—
831C2×C22⋊C4C2416yes—
832C2×C22⋊C4C2413yes—
833C2×C22⋊C4C2413yes—
834C2×C22⋊C4C2416yes—
835C2×C22⋊C4C2413yes—
836C2×C22⋊C4C2413yes—
837C2×C22⋊C4C2413yes—
838C2×C22⋊C4C2416yes—
839C2×C22⋊C4C2411yescharacteristic
840C2×C22⋊C4C2411yescharacteristic
841C2×C22⋊C4C2416yes—
842C2×C22⋊C4C2413yes—
843C2×C22⋊C4C2413yes—
844C2×C22⋊C4C2411yescharacteristic
845C2×C42—212no—
846C2×C42—46no—
847C2×C42—46no—
848C2×C42C2413yes—
849C2×C42C2413yes—
850C2×C42C2413yes—
851C2×C42C2413yes—
852C2×C42C2413yes—
853C2×C42C2413yes—
854C2×C42C2411yescharacteristic
855C2×C42C2413yes—
856C2×C42C2413yes—
857C2×C42C2413yes—
858C2×C42C2413yes—
859C2×C42C2413yes—
860C2×C42C2413yes—
861C2×C42C2413yes—
862C2×C42C2411yescharacteristic
863C2×C42C2416yes—
864C2×C42C2413yes—
865C2×C42C2413yes—
866C2×C42C2416yes—
867C2×C42C2413yes—
868C2×C42C2413yes—
869C2×C42C2411yescharacteristic
870C2×C42C2411yescharacteristic
871#95C2411yescharacteristic
872#95C2411yescharacteristic
873#95C2413yes—
874#95C2413yes—
875#95C2413yes—
876#95C2413yes—
877#95C2413yes—
878#95C2413yes—
879#95C2413yes—
880#95C2413yes—
881#95C2416yes—
882#95C2416yes—
883#95C2411yescharacteristic
884#95C2411yescharacteristic
885#95C2413yes—
886#95C2413yes—
887#95C2413yes—
888#95C2413yes—
889#95C2413yes—
890#95C2413yes—
891#95C2411yescharacteristic
892#95C2411yescharacteristic
893#95C2413yes—
894#95C2411yescharacteristic
895#95C2411yescharacteristic
896#95C2411yescharacteristic
897#95C2411yescharacteristic
898#95C2411yescharacteristic
899#95C2413yes—
900#95C2413yes—
901#95C2413yes—
902#95C2413yes—
903#95C2413yes—
904#95C2413yes—
905#95C2413yes—
906#95C2413yes—
907#95C2416yes—
908#95C2416yes—
909#95C2413yes—
910#95C2413yes—
911#95C2413yes—
912#95C2416yes—
913#95C2416yes—
914#95C2413yes—
915#95C2413yes—
916#95C2416yes—
917#95C2411yescharacteristic
918#95C2411yescharacteristic
919#95C2411yescharacteristic
920#95C2413yes—
921#95C2413yes—
922#95C2413yes—
923#95C2413yes—
924#95C2413yes—
925#95C2413yes—
926#95C2413yes—
927#95C2413yes—
928#95C2413yes—
929#95C2413yes—
930#95C2416yes—
931#95C2416yes—
932C24—26no—
933C24—26no—
934C24—26no—
935C24—43no—
936C24—43no—
937C24—43no—
938C24—43no—
939C24C2513yes—
940C24C2513yes—
941C24C2513yes—
942C24C2511yescharacteristic
943#41—232no—
944#41—232no—
945#41—448no—
946#41—448no—
947#41—416no—
948C2×Q8—26no—
949C2×Q8—26no—
950C2×Q8—26no—
951C2×Q8—22no—
952C2×Q8—41no—
953C2×Q8—41no—
954C2×Q8—46no—
955C2×Q8—46no—
956C2×Q8—46no—
957C2×Q8—416no—
958C2×Q8C2×#4114yes—
959C2×Q8C2×#4114yes—
960C2×Q8H(5,𝔽2)14yes—
961C2×D4—26no—
962C2×D4—212no—
963C2×D4—212no—
964C2×D4—26no—
965C2×D4—212no—
966C2×D4—212no—
967C2×D4—26no—
968C2×D4—26no—
969C2×D4—26no—
970C2×D4—26no—
971C2×D4—26no—
972C2×D4—26no—
973C2×D4—26no—
974C2×D4—26no—
975C2×D4—26no—
976C2×D4—43no—
977C2×D4—46no—
978C2×D4—46no—
979C2×D4—46no—
980C2×D4—43no—
981C2×D4—43no—
982C2×D4—43no—
983C2×D4—46no—
984C2×D4—46no—
985C2×D4—43no—
986C2×D4—448no—
987C2×D4C2×#41112yes—
988C2×D4C2×#41112yes—
989C22×C4—26no—
990C22×C4—26no—
991C22×C4—26no—
992C22×C4—26no—
993C22×C4—26no—
994C22×C4—26no—
995C22×C4—26no—
996C22×C4—26no—
997C22×C4—212no—
998C22×C4—26no—
999C22×C4—26no—
1000C22×C4—22no—
1001C22×C4—22no—
1002C22×C4—26no—
1003C22×C4—26no—
1004C22×C4—26no—
1005C22×C4—26no—
1006C22×C4—26no—
1007C22×C4—26no—
1008C22×C4—26no—
1009C22×C4—26no—
1010C22×C4—26no—
1011C22×C4—26no—
1012C22×C4—41no—
1013C22×C4—43no—
1014C22×C4—43no—
1015C22×C4—43no—
1016C22×C4—448no—
1017C22×C4—43no—
1018C22×C4—43no—
1019C22×C4—43no—
1020C22×C4—43no—
1021C22×C4—46no—
1022C22×C4—43no—
1023C22×C4—43no—
1024C22×C4—43no—
1025C22×C4—43no—
1026C22×C4—46no—
1027C22×C4—43no—
1028C22×C4—43no—
1029C22×C4—43no—
1030C22×C4—46no—
1031C22×C4—46no—
1032C22×C4—46no—
1033C22×C4C2×#41112yes—
1034C22×C4C2×#41112yes—
1035C22×C4C2513yes—
1036C22×C4C2511yescharacteristic
1037C22×C4C2511yescharacteristic
1038C22×C4C2511yescharacteristic
1039C22×C4C2511yescharacteristic
1040C22×C4C2513yes—
1041C22×C4C2511yescharacteristic
1042C22×C4C2511yescharacteristic
1043C22×C4C2513yes—
1044C22×C4C2513yes—
1045C22×C4C2513yes—
1046C22×C4C2513yes—
1047C22×C4C2511yescharacteristic
1048C22×C4C2511yescharacteristic
1049C22×C4C2513yes—
1050C22×C4C2513yes—
1051C22×C4C2513yes—
1052C22×C4C2513yes—
1053C22×C4C2513yes—
1054C22×C4C2513yes—
1055C22×C4C2511yescharacteristic
1056C22×C4C2511yescharacteristic
1057C22×C4C2511yescharacteristic
1058C22×C4C2511yescharacteristic
1059C22×C4C2511yescharacteristic
1060C22×C4C2511yescharacteristic
1061C22×C4C2513yes—
1062C4⋊C4—26no—
1063C4⋊C4—26no—
1064C4⋊C4—26no—
1065C4⋊C4—22no—
1066C4⋊C4—26no—
1067C4⋊C4—26no—
1068C4⋊C4—22no—
1069C4⋊C4—22no—
1070C4⋊C4—26no—
1071C4⋊C4—26no—
1072C4⋊C4—26no—
1073C4⋊C4—26no—
1074C4⋊C4—26no—
1075C4⋊C4—26no—
1076C4⋊C4—26no—
1077C4⋊C4—26no—
1078C4⋊C4—26no—
1079C4⋊C4—26no—
1080C4⋊C4—26no—
1081C4⋊C4—26no—
1082C4⋊C4—22no—
1083C4⋊C4—26no—
1084C4⋊C4—26no—
1085C4⋊C4—26no—
1086C4⋊C4—22no—
1087C4⋊C4—43no—
1088C4⋊C4—41no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—43no—
1092C4⋊C4—41no—
1093C4⋊C4—46no—
1094C4⋊C4—43no—
1095C4⋊C4—46no—
1096C4⋊C4—43no—
1097C4⋊C4—43no—
1098C4⋊C4—43no—
1099C4⋊C4—43no—
1100C4⋊C4—43no—
1101C4⋊C4—46no—
1102C4⋊C4—46no—
1103C4⋊C4—46no—
1104C22⋊C4—26no—
1105C22⋊C4—26no—
1106C22⋊C4—212no—
1107C22⋊C4—26no—
1108C22⋊C4—26no—
1109C22⋊C4—26no—
1110C22⋊C4—26no—
1111C22⋊C4—26no—
1112C22⋊C4—26no—
1113C22⋊C4—26no—
1114C22⋊C4—26no—
1115C22⋊C4—26no—
1116C22⋊C4—26no—
1117C22⋊C4—26no—
1118C22⋊C4—22no—
1119C22⋊C4—26no—
1120C22⋊C4—26no—
1121C22⋊C4—22no—
1122C22⋊C4—26no—
1123C22⋊C4—43no—
1124C22⋊C4—43no—
1125C22⋊C4—46no—
1126C22⋊C4—46no—
1127C22⋊C4—41no—
1128C22⋊C4—46no—
1129C22⋊C4—43no—
1130C22⋊C4—43no—
1131C22⋊C4—41no—
1132C22⋊C4—43no—
1133C22⋊C4—43no—
1134C22⋊C4—46no—
1135C22⋊C4—46no—
1136C22⋊C4—46no—
1137C22⋊C4—46no—
1138C22⋊C4—43no—
1139C22⋊C4—43no—
1140C22⋊C4—43no—
1141C22⋊C4—41no—
1142C22⋊C4—46no—
1143C22⋊C4—46no—
1144C22⋊C4—43no—
1145C22⋊C4—43no—
1146C22⋊C4—46no—
1147C22⋊C4—46no—
1148C22⋊C4—43no—
1149C22⋊C4—43no—
1150C22⋊C4—46no—
1151C22⋊C4—43no—
1152C22⋊C4—43no—
1153C22⋊C4—43no—
1154C22⋊C4H(5,𝔽2)14yes—
1155C42—22no—
1156C42—26no—
1157C42—26no—
1158C42—26no—
1159C42—26no—
1160C42—26no—
1161C42—26no—
1162C42—26no—
1163C42—26no—
1164C42—26no—
1165C42—26no—
1166C42—26no—
1167C42—26no—
1168C42—26no—
1169C42—22no—
1170C42—41no—
1171C42—41no—
1172C42—43no—
1173C42—43no—
1174C42—43no—
1175C42—46no—
1176C42—46no—
1177C42—43no—
1178C23—21no—
1179C23—21no—
1180C23—23no—
1181C23—23no—
1182C23—23no—
1183C23—23no—
1184C23—23no—
1185C23—23no—
1186C23—21no—
1187C23—21no—
1188C23—23no—
1189C23—23no—
1190C23—21no—
1191C23—23no—
1192C23—23no—
1193C23—23no—
1194C23—21no—
1195C23—23no—
1196C23—23no—
1197C23—23no—
1198C23—23no—
1199C23—23no—
1200C23—23no—
1201C23—23no—
1202C23—23no—
1203C23—412no—
1204C23—412no—
1205C23—412no—
1206C23—86no—
1207C23—86no—
1208C23—86no—
1209C23—86no—
1210C23C22×#4116yes—
1211C23C22×#4116yes—
1212C23C2×H(5,𝔽2)12yes—
1213C23C2611yescharacteristic
1214Q8—44no—
1215Q8—412no—
1216Q8—166no—
1217Q8#551116yescomplemented
1218D4—224no—
1219D4—224no—
1220D4—412no—
1221D4—424no—
1222D4—412no—
1223D4—812no—
1224D4—86no—
1225D4—86no—
1226D4—812no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—224no—
1240C2×C4—224no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—23no—
1246C2×C4—23no—
1247C2×C4—23no—
1248C2×C4—23no—
1249C2×C4—23no—
1250C2×C4—23no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—23no—
1254C2×C4—23no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—23no—
1259C2×C4—23no—
1260C2×C4—23no—
1261C2×C4—23no—
1262C2×C4—23no—
1263C2×C4—23no—
1264C2×C4—23no—
1265C2×C4—23no—
1266C2×C4—21no—
1267C2×C4—23no—
1268C2×C4—23no—
1269C2×C4—23no—
1270C2×C4—23no—
1271C2×C4—23no—
1272C2×C4—23no—
1273C2×C4—23no—
1274C2×C4—21no—
1275C2×C4—23no—
1276C2×C4—23no—
1277C2×C4—23no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—23no—
1281C2×C4—21no—
1282C2×C4—23no—
1283C2×C4—23no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—23no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—23no—
1290C2×C4—23no—
1291C2×C4—23no—
1292C2×C4—21no—
1293C2×C4—23no—
1294C2×C4—23no—
1295C2×C4—21no—
1296C2×C4—23no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—44no—
1302C2×C4—412no—
1303C2×C4—412no—
1304C2×C4—412no—
1305C2×C4—412no—
1306C2×C4—412no—
1307C2×C4—86no—
1308C2×C4—86no—
1309C2×C4—86no—
1310C2×C4—812no—
1311C2×C4—86no—
1312C2×C4—86no—
1313C2×C4—166no—
1314C2×C4C22×#4112yes—
1315C2×C4C22×#4112yes—
1316C2×C4C22×#4116yes—
1317C2×C4C22×#4116yes—
1318C2×C4C2×H(5,𝔽2)12yes—
1319C2×C4C2×H(5,𝔽2)12yes—
1320C2×C4C2×H(5,𝔽2)16yes—
1321C2×C4#58512yes—
1322C2×C4#58512yes—
1323C22—26no—
1324C22—22no—
1325C22—26no—
1326C22—22no—
1327C22—26no—
1328C22—22no—
1329C22—26no—
1330C22—26no—
1331C22—26no—
1332C22—43no—
1333C22—43no—
1334C22—41no—
1335C22—43no—
1336C22—43no—
1337C22—43no—
1338C22—43no—
1339C22—41no—
1340C22—43no—
1341C22—43no—
1342C22—41no—
1343C22—41no—
1344C22—43no—
1345C22—43no—
1346C22—43no—
1347C22—43no—
1348C22—43no—
1349C22—43no—
1350C22—43no—
1351C22—824no—
1352C22C23×#4111yescharacteristic
1353C22C23×#4111yescharacteristic
1354C22C22×H(5,𝔽2)11yescharacteristic
1355C22C22×H(5,𝔽2)11yescharacteristic
1356C22C2×#58511yescharacteristic
1357C22C2×#58511yescharacteristic
1358C222−1+611yescharacteristic
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—22no—
1363C4—22no—
1364C4—22no—
1365C4—43no—
1366C4—43no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—43no—
1371C4—43no—
1372C4—43no—
1373C4—43no—
1374C4—43no—
1375C4—43no—
1376C4—43no—
1377C4—43no—
1378C4—41no—
1379C4—43no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—43no—
1385C4C2×#551112yes—
1386C2—46no—
1387C2—46no—
1388C2—42no—
1389C2—83no—
1390C2C22×#55111yescharacteristic
1391C2#6280011yescharacteristic
1392C2#6281611yescharacteristic
1393C2#6289711yescharacteristic
1394C2#6298511yescharacteristic
1395C2#6300911yescharacteristic
1396C2#6301411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36429C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59905C2semidirect
2. #59476C2semidirect
3. #59375C2semidirect
4. #59275C2semidirect
5. #59204C2semidirect
6. #45013C2semidirect
7. #45006C2semidirect
8. #45003C2semidirect
9. #44995C2semidirect
10. #39064C2semidirect
11. #39044C2semidirect
12. #38062C2semidirect
13. #37858C2semidirect
14. #36456C2semidirect
15. #36448C2semidirect
16. #36433C2semidirect
17. #36432C2semidirect
19. #36368C2semidirect
20. #36183C2semidirect
21. #36005C2semidirect
22. #35948C2semidirect
23. #35920C2semidirect
24. #35748C2semidirect
25. #34849C2semidirect
26. #34295C2semidirect
27. #34263C2semidirect
28. #34193C2semidirect
29. #34175C2semidirect
30. C4×#550C2semidirect
31. C22⋊C4×#41C2semidirect
33. C2×Q82C22semidirect
42. C2×C4×#41C22semidirect
43. #2863C22semidirect
44. #2857C22semidirect
45. #2855C22semidirect
46. #2854C22semidirect
48. #2778C22semidirect
49. #2760C22semidirect
50. #2749C22semidirect
51. #2745C22semidirect
52. #2743C22semidirect
53. #2743C22semidirect
54. #2740C22semidirect
55. #2737C22semidirect
56. #2696C22semidirect
57. #2696C22semidirect
58. #2696C22semidirect
59. #2693C22semidirect
62. #2645C22semidirect
63. #2640C22semidirect
64. #2628C22semidirect
65. #2624C22semidirect
66. #2600C22semidirect
67. #2598C22semidirect
68. #2592C22semidirect
69. #2580C22semidirect
71. #2578C22semidirect
73. #2576C22semidirect
74. #2575C22semidirect
76. #2573C22semidirect
77. #2572C22semidirect
78. #2572C22semidirect
79. #2569C22semidirect
80. #2564C22semidirect
81. #2564C22semidirect
82. #2563C22semidirect
86. #2542C22semidirect
87. #2538C22semidirect
90. #2516C22semidirect
91. #2514C22semidirect
92. #2514C22semidirect
93. #2511C22semidirect
94. #2511C22semidirect
95. #2511C22semidirect
96. #2511C22semidirect
97. #2510C22semidirect
98. #2501C22semidirect
99. #2500C22semidirect
100. #2499C22semidirect
101. #2498C22semidirect
108. #2493C22semidirect
109. #2492C22semidirect
110. #2492C22semidirect
113. #2488C22semidirect
114. #2487C22semidirect
116. #2485C22semidirect
119. #2477C22semidirect
120. #2477C22semidirect
122. #2471C22semidirect
123. #2463C22semidirect
124. #2457C22semidirect
125. #2452C22semidirect
126. #2452C22semidirect
127. #2452C22semidirect
128. #2452C22semidirect
129. #2447C22semidirect
130. #2447C22semidirect
131. #2445C22semidirect
132. #2445C22semidirect
133. #2445C22semidirect
134. #2445C22semidirect
135. #2440C22semidirect
136. #2440C22semidirect
137. #2439C22semidirect
138. #2439C22semidirect
143. #2422C22semidirect
144. #2422C22semidirect
145. #2422C22semidirect
147. #2420C22semidirect
148. #2419C22semidirect
156. #2396C22semidirect
157. #2395C22semidirect
158. #2368C22semidirect
159. #2366C22semidirect
160. #2366C22semidirect
161. #2363C22semidirect
162. #2363C22semidirect
163. #2363C22semidirect
164. #2361C22semidirect
165. #2359C22semidirect
166. #2357C22semidirect
167. #2354C22semidirect
168. #2354C22semidirect
169. #2354C22semidirect
170. #2354C22semidirect
171. #2352C22semidirect
172. #2351C22semidirect
173. #2351C22semidirect
174. #2351C22semidirect
175. Q8×C4⋊C4C22semidirect
176. Q8×C4⋊C4C22semidirect
177. Q8×C4⋊C4C22semidirect
178. Q8×C4⋊C4C22semidirect
179. Q8×C4⋊C4C22semidirect
180. #2347C22semidirect
181. #2347C22semidirect
182. #2345C22semidirect
183. #2344C22semidirect
190. #2341C22semidirect
191. #2341C22semidirect
192. #2341C22semidirect
206. #2328C22semidirect
207. #2324C22semidirect
208. #2319C22semidirect
209. #2319C22semidirect
210. #2319C22semidirect
211. #2314C22semidirect
214. C4×#127C22semidirect
216. C4×C22⋊Q8C22semidirect
218. C4×#123C22semidirect
219. C4×#121C22semidirect
220. C4×#121C22semidirect
221. C4×#121C22semidirect
223. #2298C22semidirect
226. #2293C22semidirect
227. #2290C22semidirect
228. #2285C22semidirect
229. #2283C22semidirect
233. #2276C22semidirect
234. #2276C22semidirect
235. C42×Q8C22semidirect
236. C42×D4C22semidirect
1217. Q8#551semidirect

Maximal subgroups

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

subgroupindex
#599052
#594762
#593752
#592752
#592042
#450132
#450062
#450032
#449952
#390642
#390442
#380622
#378582
#364562
#364482
#364332
#364322
#364292
#363682
#361832
#360052
#359482
#359202
#357482
#348492
#342952
#342632
#341932
#341752
C4×#5502
C22⋊C4×#412