Finite Group Databasebeta

← #8091792

Subgroups — #8091792

Order 512.

4795 conjugacy classes of subgroups.

The subgroup lattice has 1504 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#46342C211yesmaximal, characteristic, complemented
2#46293C212yesmaximal, complemented
3#46060C212yesmaximal, complemented
4#46034C214yesmaximal, complemented
5#45938C214yesmaximal, complemented
6#45856C214yesmaximal, complemented
7#45852C214yesmaximal, complemented
8#45730C212yesmaximal, complemented
9#45696C211yesmaximal, characteristic, complemented
10#45687C212yesmaximal, complemented
11#45641C212yesmaximal, complemented
12#45631C212yesmaximal, complemented
13#45625C212yesmaximal, complemented
14#45566C214yesmaximal, complemented
15#45508C212yesmaximal, complemented
16#45494C211yesmaximal, characteristic, complemented
17#45460C214yesmaximal, complemented
18#45441C212yesmaximal, complemented
19#36422C211yesmaximal, characteristic, complemented
20#36415C211yesmaximal, characteristic, complemented
21#36409C212yesmaximal, complemented
22#36301C212yesmaximal, complemented
23#36269C212yesmaximal, complemented
24#36250C212yesmaximal, complemented
25#36232C212yesmaximal, complemented
26#36163C212yesmaximal, complemented
27#36103C211yesmaximal, characteristic, complemented
28C4×#560C211yesmaximal, characteristic, complemented
29#34342C212yesmaximal, complemented
30C2×#560C2211yescharacteristic
31C2×#555C2211yescharacteristic, complemented
32C2×#552C2212yes—
33C2×#547C2211yescharacteristic
34C2×#525C2212yes—
35C22×C4×Q8C2211yescharacteristic, complemented
36C23×C4⋊C4C2211yescharacteristic
37#2864C2214yescomplemented
38#2863C2212yescomplemented
39#2863C2214yescomplemented
40#2862C2211yescharacteristic, complemented
41#2861C2214yescomplemented
42#2857C2212yescomplemented
43#2855C2212yescomplemented
44#2855C2214yescomplemented
45#2854C2211yescharacteristic, complemented
46#2853C2212yescomplemented
47#2852C2214yescomplemented
48#2851C2212yescomplemented
49#2850C2212yescomplemented
50#2850C2212yescomplemented
51#2849C2212yes—
52#2849C2214yes—
53#2848C2212yes—
54#2847C2211yescharacteristic
55#2840C2212yes—
56#2838C2214yescomplemented
57#2836C2214yescomplemented
58#2836C2214yescomplemented
59#2835C2212yescomplemented
60#2833C2214yescomplemented
61#2830C2212yescomplemented
62#2824C2214yescomplemented
63#2812C2214yes—
64#2809C2214yescomplemented
65#2806C2214yescomplemented
66#2804C2214yes—
67#2804C2212yes—
68#2797C2214yes—
69#2796C2214yes—
70#2792C2212yescomplemented
71#2784C2214yescomplemented
72#2778C2214yes—
73#2772C2214yescomplemented
74#2766C2214yescomplemented
75#2764C2214yes—
76#2764C2212yescomplemented
77#2763C2212yes—
78#2763C2214yes—
79#2762C2214yescomplemented
80#2761C2214yescomplemented
81#2760C2214yes—
82#2758C2214yescomplemented
83#2757C2214yes—
84#2757C2214yescomplemented
85#2754C2214yescomplemented
86#2751C2214yes—
87#2751C2214yes—
88#2749C2214yes—
89#2749C2214yescomplemented
90#2747C2214yescomplemented
91#2746C2214yes—
92#2746C2214yescomplemented
93#2745C2214yes—
94#2745C2214yes—
95#2743C2214yescomplemented
96#2737C2214yes—
97#2737C2214yes—
98#2732C2214yescomplemented
99#2724C2212yes—
100#2709C2212yes—
101#2706C2214yes—
102#2700C2214yescomplemented
103#2698C2214yes—
104#2696C2214yes—
105#2696C2214yes—
106#2688C2214yes—
107#2687C2214yes—
108#2687C2214yes—
109#2687C2214yescomplemented
110#2682C2214yes—
111#2672C2214yes—
112#2611C2214yescomplemented
113#2610C2214yes—
114#2604C2214yescomplemented
115#2599C2214yes—
116#2573C2214yescomplemented
117#2573C2214yescomplemented
118#2572C2214yes—
119#2572C2214yes—
120#2571C2212yescomplemented
121#2565C2212yescomplemented
122#2563C2211yescharacteristic
123#2563C2212yes—
124#2559C2214yescomplemented
125#2557C2214yes—
126#2557C2214yes—
127#2557C2214yescomplemented
128#2550C2212yescomplemented
129#2547C2211yescharacteristic, complemented
130#2540C2212yes—
131#2536C2212yes—
132#2535C2212yes—
133#2535C2212yescomplemented
134#2533C2214yescomplemented
135#2530C2214yescomplemented
136#2527C2214yes—
137#2527C2214yes—
138#2527C2214yescomplemented
139#2527C2214yescomplemented
140#2523C2214yescomplemented
141#2521C2214yescomplemented
142#2514C2212yescomplemented
143#2509C2212yescomplemented
144#2509C2212yescomplemented
145#2503C2212yes—
146#2501C2211yescharacteristic
147#2499C2212yescomplemented
148#2495C2212yes—
149#2494C2212yes—
150#2494C2214yescomplemented
151#2494C2212yescomplemented
152#2492C2212yes—
153#2492C2212yes—
154#2492C2212yes—
155#2490C2212yescomplemented
156#2486C2211yescharacteristic
157#2486C2212yes—
158#2485C2212yes—
159#2485C2212yescomplemented
160#2484C2214yes—
161#2481C2214yes—
162#2481C2214yes—
163#2477C2214yes—
164#2477C2214yes—
165#2477C2214yescomplemented
166#2473C2214yes—
167#2473C2214yes—
168#2473C2214yescomplemented
169#2470C2214yes—
170#2466C2214yes—
171#2465C2214yescomplemented
172#2464C2214yes—
173#2462C2214yescomplemented
174#2458C2214yes—
175#2458C2214yes—
176#2452C2212yescomplemented
177#2451C2212yescomplemented
178#2449C2214yes—
179#2447C2212yescomplemented
180#2443C2214yes—
181#2443C2214yes—
182#2442C2212yes—
183#2442C2212yes—
184#2440C2212yes—
185#2439C2212yescomplemented
186#2436C2211yescharacteristic, complemented
187#2431C2212yes—
188#2427C2212yes—
189#2426C2212yes—
190#2423C2212yescomplemented
191#2421C2212yes—
192#2420C2212yes—
193#2420C2214yes—
194#2417C2212yes—
195#2417C2212yes—
196#2416C2212yes—
197#2415C2212yes—
198#2415C2212yescomplemented
199#2414C2212yes—
200#2413C2212yes—
201#2413C2214yes—
202#2413C2212yescomplemented
203#2409C2211yescharacteristic
204#2409C2212yes—
205#2409C2212yescomplemented
206#2406C2212yes—
207#2406C2212yes—
208#2383C2212yes—
209#2380C2211yescharacteristic
210#2378C2214yes—
211#2378C2214yes—
212#2377C2214yes—
213#2377C2214yes—
214#2377C2212yes—
215#2377C2212yes—
216#2377C2212yes—
217#2376C2212yes—
218#2376C2212yes—
219#2376C2214yes—
220#2376C2212yes—
221#2376C2211yescharacteristic
222#2375C2211yescharacteristic
223#2375C2212yes—
224#2375C2214yes—
225#2375C2212yes—
226#2369C2212yescomplemented
227#2367C2212yescomplemented
228#2362C2212yescomplemented
229#2361C2212yes—
230#2360C2212yes—
231#2360C2212yes—
232#2356C2212yescomplemented
233#2352C2212yes—
234#2352C2212yes—
235#2352C2212yescomplemented
236D4×C4⋊C4C2212yes—
237#2344C2211yescharacteristic
238#2344C2212yes—
239#2344C2211yescharacteristic, complemented
240C4×#127C2211yescharacteristic
241C4×#126C2212yes—
242C4×#123C2212yes—
243C4×#123C2211yescharacteristic
244C4×#121C2212yes—
245C4×#121C2212yes—
246C4×#121C2212yes—
247C4×#120C2211yescharacteristic
248C4×#120C2212yes—
249#2298C2214yes—
250#2297C2212yes—
251#2297C2212yes—
252#2293C2214yes—
253#2293C2214yes—
254#2290C2214yes—
255#2290C2214yes—
256#2280C2214yes—
257C42×D4C2211yescharacteristic, complemented
258C4×#117C2212yescomplemented
259C22×#41C2312yes—
260C23×Q8C2311yescharacteristic
261C24×C4C2312yes—
262C24×C4C2311yescharacteristic
263#560—28no—
264#555—44no—
265#552—48no—
266#547—44no—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2311yescharacteristic
269C2×C4⋊Q8C2311yescharacteristic
270C2×#127C2311yescharacteristic
271C2×#126C2312yes—
272C2×#126C2314yes—
273C2×#125C2312yes—
274C2×#125C2314yes—
275C2×#124C2312yes—
276C2×#124C2314yes—
277C2×#124C2312yes—
278#525—216no—
279C2×#123C2312yes—
280C2×#123C2312yes—
281C2×#123C2311yescharacteristic
282C2×#123C2312yes—
283C2×#123C2312yes—
284C2×#123C2314yes—
285C2×#123C2312yes—
286C2×#123C2312yes—
287C2×#123C2314yes—
288C2×#123C2312yes—
289C2×C22⋊Q8C2314yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×#121C2314yes—
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2311yescharacteristic
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2311yescharacteristic
307C2×#120C2312yes—
308C2×#120C2312yes—
309C2×#120C2311yescharacteristic
310C2×C4×Q8—44no—
311C2×C4×Q8C2312yes—
312C2×C4×Q8C2312yes—
313C2×C4×Q8C2314yes—
314C2×C4×D4C2314yes—
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2314yes—
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2312yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×#117C2312yes—
326C2×#117C2312yes—
327C2×#117C2314yes—
328C2×#117C2312yes—
329C2×#117C2312yes—
330C2×#117C2314yes—
331C2×#117C2312yes—
332C22×C4⋊C4—44no—
333C22×C4⋊C4C2312yes—
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2311yescharacteristic
336C22×C4⋊C4C2312yes—
337C22×C4⋊C4C2314yes—
338C22×C4⋊C4C2312yes—
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2312yes—
341C22×C42C2312yes—
342C22×C42C2311yescharacteristic
343C22×C42C2312yes—
344C22×C42C2312yes—
345#401C2314yes—
346#401C2314yes—
347#401C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#399C2314yes—
365#399C2314yes—
366#399C2314yes—
367#398C2314yes—
368#398C2314yes—
369#398C2312yes—
370#398C2314yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2312yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#396C2314yes—
399#396C2314yes—
400#396C2314yes—
401#396C2314yes—
402#396C2314yes—
403#396C2314yes—
404#395C2312yes—
405#395C2314yes—
406#395C2314yes—
407#395C2314yes—
408#395C2314yes—
409#395C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#393C2314yes—
422#393C2312yes—
423#393C2314yes—
424#393C2312yes—
425#393C2314yes—
426#393C2314yes—
427#393C2314yes—
428#393C2314yes—
429#393C2314yes—
430#393C2314yes—
431#393C2314yes—
432#393C2314yes—
433#393C2312yes—
434#392C2314yes—
435#392C2314yes—
436#392C2314yes—
437#392C2314yes—
438#391C2312yes—
439#391C2312yes—
440#391C2314yes—
441#391C2314yes—
442#391C2312yes—
443#391C2312yes—
444#391C2312yes—
445#391C2314yes—
446#391C2314yes—
447#391C2314yes—
448#391C2314yes—
449#391C2312yes—
450#391C2314yes—
451#391C2312yes—
452#391C2312yes—
453#391C2314yes—
454#391C2314yes—
455#391C2314yes—
456#391C2312yes—
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2312yes—
460#390C2312yes—
461#390C2312yes—
462#390C2314yes—
463#390C2312yes—
464#390C2312yes—
465#390C2314yes—
466#390C2314yes—
467#390C2312yes—
468#390C2314yes—
469#390C2314yes—
470#390C2312yes—
471#390C2312yes—
472#390C2314yes—
473#389C2312yes—
474#389C2312yes—
475#389C2314yes—
476#389C2314yes—
477#389C2314yes—
478#389C2314yes—
479#389C2312yes—
480#389C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2314yes—
486#389C2312yes—
487#389C2314yes—
488#389C2312yes—
489#389C2312yes—
490#389C2314yes—
491#389C2314yes—
492#389C2314yes—
493#389C2312yes—
494#389C2314yes—
495#389C2314yes—
496#389C2312yes—
497#388C2312yes—
498#388C2312yes—
499#388C2312yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2312yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2312yes—
516#388C2314yes—
517#388C2312yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2312yes—
522#388C2314yes—
523#388C2312yes—
524#388C2314yes—
525#388C2312yes—
526#388C2312yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2312yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2312yes—
537#387C2312yes—
538#387C2312yes—
539#387C2312yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2312yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2312yes—
574#387C2312yes—
575#386C2312yes—
576#386C2312yes—
577#386C2312yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2312yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2312yes—
594#386C2311yescharacteristic
595#386C2312yes—
596#386C2314yes—
597#386C2312yes—
598#386C2314yes—
599#386C2314yes—
600#386C2312yes—
601#386C2312yes—
602#386C2311yescharacteristic
603#386C2312yes—
604#386C2312yes—
605#386C2312yes—
606#386C2314yes—
607#386C2312yes—
608#386C2312yes—
609#386C2312yes—
610#386C2312yes—
611#385C2314yes—
612#385C2312yes—
613#385C2314yes—
614#385C2311yescharacteristic
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2312yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2311yescharacteristic
632#385C2312yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2312yes—
637#385C2312yes—
638#384C2311yescharacteristic
639#384C2312yes—
640#383C2312yes—
641#383C2314yes—
642#383C2314yes—
643#383C2314yes—
644#383C2314yes—
645#382C2312yes—
646#382C2314yes—
647#382C2312yes—
648#382C2312yes—
649#382C2314yes—
650#382C2312yes—
651#382C2312yes—
652#381C2312yes—
653#381C2314yes—
654#381C2314yes—
655#381C2314yes—
656#381C2314yes—
657#381C2312yes—
658#381C2314yes—
659#381C2312yes—
660#381C2311yescharacteristic
661#381C2312yes—
662#381C2314yes—
663#381C2314yes—
664#380C2312yes—
665#380C2311yescharacteristic
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2311yescharacteristic
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2314yes—
674#380C2312yes—
675#380C2312yes—
676#380C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2314yes—
683#380C2314yes—
684#379C2311yescharacteristic
685#379C2314yes—
686#379C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2311yescharacteristic
706C4×C22⋊C4C2311yescharacteristic
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715#376C2314yes—
716#376C2314yes—
717C43C2311yescharacteristic
718C43C2314yes—
719C25C2411yescharacteristic
720C2×#41—28no—
721C2×#41—44no—
722C2×#41—82no—
723C22×Q8—42no—
724C22×Q8—44no—
725C22×Q8C2412yes—
726C22×Q8C2412yes—
727C22×Q8C2412yes—
728C22×Q8C2414yes—
729C22×Q8C2412yes—
730C22×D4C2411yescharacteristic
731C22×D4C2412yes—
732C22×D4C2412yes—
733C22×D4C2414yes—
734C22×D4C2412yes—
735C22×D4C2411yescharacteristic
736C22×D4C2412yes—
737C22×D4C2412yes—
738C22×D4C2412yes—
739C22×D4C2414yes—
740C22×D4C2412yes—
741C22×D4C2411yescharacteristic
742C23×C4—28no—
743C23×C4—42no—
744C23×C4—44no—
745C23×C4—44no—
746C23×C4—82no—
747C23×C4C2411yescharacteristic
748C23×C4C2412yes—
749C23×C4C2411yescharacteristic
750C23×C4C2412yes—
751C23×C4C2414yes—
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2412yes—
755C23×C4C2411yescharacteristic
756C23×C4C2414yes—
757C23×C4C2412yes—
758C23×C4C2412yes—
759C23×C4C2411yescharacteristic
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2414yes—
763C23×C4C2412yes—
764C23×C4C2411yescharacteristic
765C4⋊Q8—44no—
766C4⋊Q8—42no—
767C4⋊Q8—42no—
768#127—24no—
769#126—28no—
770#126—48no—
771#125—44no—
772#125—48no—
773#124—48no—
774#124—44no—
775#124—82no—
776#123—28no—
777#123—24no—
778#123—28no—
779#123—28no—
780#123—44no—
781#123—44no—
782#123—48no—
783#123—82no—
784#123—84no—
785#123—82no—
786C22⋊Q8—216no—
787C22⋊Q8—44no—
788C22⋊Q8—44no—
789C22⋊Q8—44no—
790C22⋊Q8—44no—
791C22⋊Q8—44no—
792C22⋊Q8—44no—
793C22⋊Q8—84no—
794C22⋊Q8—84no—
795#121—216no—
796#121—28no—
797#121—28no—
798#121—28no—
799#121—44no—
800#121—44no—
801#121—42no—
802#121—42no—
803#121—44no—
804#120—28no—
805#120—28no—
806#120#4118yes—
807C4×Q8—28no—
808C4×Q8—48no—
809C4×Q8—44no—
810C4×D4—216no—
811C4×D4—24no—
812C4×D4—216no—
813C4×D4—44no—
814C4×D4—44no—
815C4×D4—44no—
816C4×D4—44no—
817C4×D4—44no—
818C4×D4—42no—
819C4×D4—44no—
820C4×D4—42no—
821#117—28no—
822#117—28no—
823#117—48no—
824#117—44no—
825#117—44no—
826#117—84no—
827#117—82no—
828C2×C4⋊C4—24no—
829C2×C4⋊C4—28no—
830C2×C4⋊C4—24no—
831C2×C4⋊C4—44no—
832C2×C4⋊C4—48no—
833C2×C4⋊C4—42no—
834C2×C4⋊C4—44no—
835C2×C4⋊C4—44no—
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2411yescharacteristic
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2411yescharacteristic
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2411yescharacteristic
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2411yescharacteristic
906C2×C22⋊C4C2411yescharacteristic
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2411yescharacteristic
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2411yescharacteristic
942C2×C22⋊C4C2412yes—
943C2×C42—44no—
944C2×C42—42no—
945C2×C42—44no—
946C2×C42—82no—
947C2×C42C2414yes—
948C2×C42C2414yes—
949C2×C42C2414yes—
950C2×C42C2411yescharacteristic
951C2×C42C2412yes—
952C2×C42C2412yes—
953C2×C42C2412yes—
954C2×C42C2412yes—
955C2×C42C2411yescharacteristic
956C2×C42C2414yes—
957C2×C42C2414yes—
958C2×C42C2414yes—
959C2×C42C2412yes—
960C2×C42C2414yes—
961C2×C42C2412yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2411yescharacteristic
967C2×C42C2412yes—
968#95C2412yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2412yes—
978#95C2412yes—
979#95C2412yes—
980#95C2412yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2412yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2412yes—
991#95C2412yes—
992#95C2412yes—
993#95C2414yes—
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2414yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2414yes—
1002#95C2412yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033C24—41no—
1034C24—42no—
1035C24—41no—
1036C24—42no—
1037C24C2×#4114yes—
1038C24C2512yes—
1039C24C2512yes—
1040C24C2512yes—
1041C24C2511yescharacteristic
1042C24C2511yescharacteristic
1043#41—816no—
1044C2×Q8—24no—
1045C2×Q8—24no—
1046C2×Q8—24no—
1047C2×Q8—24no—
1048C2×Q8—42no—
1049C2×Q8—44no—
1050C2×Q8—42no—
1051C2×Q8—42no—
1052C2×Q8—44no—
1053C2×Q8—42no—
1054C2×Q8—44no—
1055C2×Q8—44no—
1056C2×Q8—44no—
1057C2×Q8—416no—
1058C2×D4—28no—
1059C2×D4—24no—
1060C2×D4—24no—
1061C2×D4—24no—
1062C2×D4—24no—
1063C2×D4—24no—
1064C2×D4—24no—
1065C2×D4—22no—
1066C2×D4—22no—
1067C2×D4—24no—
1068C2×D4—42no—
1069C2×D4—41no—
1070C2×D4—42no—
1071C2×D4—41no—
1072C2×D4—41no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—44no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—41no—
1084C2×D4—44no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4C2×#4118yes—
1092C2×D4C2×#4114yes—
1093C22×C4—24no—
1094C22×C4—28no—
1095C22×C4—24no—
1096C22×C4—22no—
1097C22×C4—28no—
1098C22×C4—24no—
1099C22×C4—24no—
1100C22×C4—24no—
1101C22×C4—22no—
1102C22×C4—28no—
1103C22×C4—22no—
1104C22×C4—24no—
1105C22×C4—24no—
1106C22×C4—24no—
1107C22×C4—24no—
1108C22×C4—24no—
1109C22×C4—24no—
1110C22×C4—24no—
1111C22×C4—24no—
1112C22×C4—24no—
1113C22×C4—24no—
1114C22×C4—24no—
1115C22×C4—41no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—41no—
1120C22×C4—44no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—44no—
1128C22×C4—41no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—44no—
1132C22×C4—42no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—42no—
1136C22×C4—41no—
1137C22×C4—42no—
1138C22×C4—44no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—44no—
1142C22×C4—416no—
1143C22×C4—816no—
1144C22×C4C2512yes—
1145C22×C4C2512yes—
1146C22×C4C2512yes—
1147C22×C4C2512yes—
1148C22×C4C2511yescharacteristic
1149C22×C4C2514yes—
1150C22×C4C2514yes—
1151C22×C4C2514yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2512yes—
1155C22×C4C2514yes—
1156C22×C4C2514yes—
1157C22×C4C2511yescharacteristic
1158C22×C4C2511yescharacteristic
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2514yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2511yescharacteristic
1166C22×C4C2512yes—
1167C22×C4C2511yescharacteristic
1168C4⋊C4—28no—
1169C4⋊C4—28no—
1170C4⋊C4—28no—
1171C4⋊C4—24no—
1172C4⋊C4—24no—
1173C4⋊C4—24no—
1174C4⋊C4—22no—
1175C4⋊C4—24no—
1176C4⋊C4—24no—
1177C4⋊C4—28no—
1178C4⋊C4—22no—
1179C4⋊C4—24no—
1180C4⋊C4—28no—
1181C4⋊C4—24no—
1182C4⋊C4—24no—
1183C4⋊C4—24no—
1184C4⋊C4—24no—
1185C4⋊C4—42no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—42no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—42no—
1192C4⋊C4—44no—
1193C4⋊C4—41no—
1194C4⋊C4—42no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—42no—
1201C4⋊C4—42no—
1202C4⋊C4—42no—
1203C4⋊C4—42no—
1204C4⋊C4—41no—
1205C4⋊C4—42no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—42no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—42no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4H(5,𝔽2)14yes—
1218C22⋊C4—24no—
1219C22⋊C4—28no—
1220C22⋊C4—28no—
1221C22⋊C4—24no—
1222C22⋊C4—24no—
1223C22⋊C4—24no—
1224C22⋊C4—22no—
1225C22⋊C4—28no—
1226C22⋊C4—24no—
1227C22⋊C4—28no—
1228C22⋊C4—24no—
1229C22⋊C4—42no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—42no—
1234C22⋊C4—44no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—44no—
1238C22⋊C4—42no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—42no—
1242C22⋊C4—41no—
1243C22⋊C4—44no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—44no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—44no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—41no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4C2×#4114yes—
1274C22⋊C4C2×#4118yes—
1275C42—28no—
1276C42—22no—
1277C42—28no—
1278C42—24no—
1279C42—28no—
1280C42—22no—
1281C42—24no—
1282C42—24no—
1283C42—24no—
1284C42—42no—
1285C42—42no—
1286C42—44no—
1287C42—42no—
1288C42—41no—
1289C42—44no—
1290C42—42no—
1291C42—44no—
1292C42—44no—
1293C42—42no—
1294C42—44no—
1295C42—44no—
1296C23—22no—
1297C23—21no—
1298C23—21no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—21no—
1305C23—21no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—24no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—24no—
1321C23—22no—
1322C23—44no—
1323C23—48no—
1324C23—44no—
1325C23—48no—
1326C23—44no—
1327C23C22×#4112yes—
1328C23C22×#4112yes—
1329C23C22×#4114yes—
1330C23C2611yescharacteristic
1331Q8—48no—
1332Q8—48no—
1333Q8—84no—
1334Q8—164no—
1335Q8—162no—
1336D4—48no—
1337D4—44no—
1338D4—44no—
1339D4—82no—
1340D4—84no—
1341D4—84no—
1342D4—88no—
1343D4—84no—
1344D4—84no—
1345D4—84no—
1346D4—84no—
1347D4—164no—
1348C2×C4—22no—
1349C2×C4—21no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—21no—
1353C2×C4—22no—
1354C2×C4—24no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—24no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—24no—
1364C2×C4—22no—
1365C2×C4—21no—
1366C2×C4—24no—
1367C2×C4—21no—
1368C2×C4—22no—
1369C2×C4—21no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—24no—
1381C2×C4—24no—
1382C2×C4—22no—
1383C2×C4—24no—
1384C2×C4—24no—
1385C2×C4—22no—
1386C2×C4—24no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—24no—
1391C2×C4—22no—
1392C2×C4—24no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—24no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—24no—
1400C2×C4—24no—
1401C2×C4—22no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—24no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—24no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—48no—
1412C2×C4—416no—
1413C2×C4—48no—
1414C2×C4—48no—
1415C2×C4—44no—
1416C2×C4—48no—
1417C2×C4—44no—
1418C2×C4—48no—
1419C2×C4—48no—
1420C2×C4—44no—
1421C2×C4—48no—
1422C2×C4—44no—
1423C2×C4—84no—
1424C2×C4—82no—
1425C2×C4—84no—
1426C2×C4—88no—
1427C2×C4—84no—
1428C2×C4—88no—
1429C2×C4C22×#4114yes—
1430C2×C4C22×#4112yes—
1431C2×C4C2×H(5,𝔽2)14yes—
1432C2×C4C2×H(5,𝔽2)12yes—
1433C2×C4#58514yes—
1434C22—22no—
1435C22—24no—
1436C22—22no—
1437C22—24no—
1438C22—24no—
1439C22—24no—
1440C22—24no—
1441C22—416no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—41no—
1447C22—42no—
1448C22—41no—
1449C22—41no—
1450C22—42no—
1451C22—41no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—44no—
1457C22—44no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22C23×#4111yescharacteristic
1465C22C22×H(5,𝔽2)11yescharacteristic
1466C22C2×#58512yes—
1467C22H(7,𝔽2)11yescharacteristic
1468C222−1+612yes—
1469C4—24no—
1470C4—22no—
1471C4—24no—
1472C4—44no—
1473C4—42no—
1474C4—42no—
1475C4—42no—
1476C4—42no—
1477C4—44no—
1478C4—42no—
1479C4—42no—
1480C4—42no—
1481C4—44no—
1482C4—42no—
1483C4—44no—
1484C4—42no—
1485C4—44no—
1486C4—41no—
1487C4—42no—
1488C4—41no—
1489C4—42no—
1490C4—44no—
1491C4—41no—
1492C4#352914yes—
1493C2—42no—
1494C2—42no—
1495C2—44no—
1496C2—82no—
1497C2—82no—
1498C2C2×#352911yescharacteristic
1499C2#6298311yescharacteristic
1500C2#6299112yes—
1501C2#6304312yes—
1502C2#6304811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #46342C2semidirect
2. #46293C2semidirect
3. #46060C2semidirect
4. #46034C2semidirect
5. #45938C2semidirect
6. #45856C2semidirect
7. #45852C2semidirect
8. #45730C2semidirect
9. #45696C2semidirect
10. #45687C2semidirect
11. #45641C2semidirect
12. #45631C2semidirect
13. #45625C2semidirect
14. #45566C2semidirect
15. #45508C2semidirect
16. #45494C2semidirect
17. #45460C2semidirect
18. #45441C2semidirect
19. #36422C2semidirect
20. #36415C2semidirect
21. #36409C2semidirect
22. #36301C2semidirect
23. #36269C2semidirect
24. #36250C2semidirect
25. #36232C2semidirect
26. #36163C2semidirect
27. #36103C2semidirect
28. C4×#560C2semidirect
29. #34342C2semidirect
31. C2×#555C22semidirect
35. C22×C4×Q8C22semidirect
37. #2864C22semidirect
38. #2863C22semidirect
39. #2863C22semidirect
40. #2862C22semidirect
41. #2861C22semidirect
42. #2857C22semidirect
43. #2855C22semidirect
44. #2855C22semidirect
45. #2854C22semidirect
46. #2853C22semidirect
47. #2852C22semidirect
48. #2851C22semidirect
49. #2850C22semidirect
50. #2850C22semidirect
56. #2838C22semidirect
57. #2836C22semidirect
58. #2836C22semidirect
59. #2835C22semidirect
60. #2833C22semidirect
61. #2830C22semidirect
62. #2824C22semidirect
64. #2809C22semidirect
65. #2806C22semidirect
70. #2792C22semidirect
71. #2784C22semidirect
73. #2772C22semidirect
74. #2766C22semidirect
76. #2764C22semidirect
79. #2762C22semidirect
80. #2761C22semidirect
82. #2758C22semidirect
84. #2757C22semidirect
85. #2754C22semidirect
89. #2749C22semidirect
90. #2747C22semidirect
92. #2746C22semidirect
95. #2743C22semidirect
98. #2732C22semidirect
102. #2700C22semidirect
109. #2687C22semidirect
112. #2611C22semidirect
114. #2604C22semidirect
116. #2573C22semidirect
117. #2573C22semidirect
120. #2571C22semidirect
121. #2565C22semidirect
124. #2559C22semidirect
127. #2557C22semidirect
128. #2550C22semidirect
129. #2547C22semidirect
133. #2535C22semidirect
134. #2533C22semidirect
135. #2530C22semidirect
138. #2527C22semidirect
139. #2527C22semidirect
140. #2523C22semidirect
141. #2521C22semidirect
142. #2514C22semidirect
143. #2509C22semidirect
144. #2509C22semidirect
147. #2499C22semidirect
150. #2494C22semidirect
151. #2494C22semidirect
155. #2490C22semidirect
159. #2485C22semidirect
165. #2477C22semidirect
168. #2473C22semidirect
171. #2465C22semidirect
173. #2462C22semidirect
176. #2452C22semidirect
177. #2451C22semidirect
179. #2447C22semidirect
185. #2439C22semidirect
186. #2436C22semidirect
190. #2423C22semidirect
198. #2415C22semidirect
202. #2413C22semidirect
205. #2409C22semidirect
226. #2369C22semidirect
227. #2367C22semidirect
228. #2362C22semidirect
232. #2356C22semidirect
235. #2352C22semidirect
239. #2344C22semidirect
257. C42×D4C22semidirect
258. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#463422
#462932
#460602
#460342
#459382
#458562
#458522
#457302
#456962
#456872
#456412
#456312
#456252
#455662
#455082
#454942
#454602
#454412
#364222
#364152
#364092
#363012
#362692
#362502
#362322
#361632
#361032
C4×#5602
#343422