Finite Group Databasebeta

← #7727024

Subgroups — #7727024

Order 512.

4598 conjugacy classes of subgroups.

The subgroup lattice has 1519 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#50188C212yesmaximal, complemented
2#49598C212yesmaximal, complemented
3#48798C212yesmaximal, complemented
4#47886C212yesmaximal, complemented
5#47565C214yesmaximal, complemented
6#46392C214yesmaximal, complemented
7#44912C212yesmaximal, complemented
8#44911C212yesmaximal, complemented
9#44910C212yesmaximal, complemented
10#44909C212yesmaximal, complemented
11#40250C214yesmaximal, complemented
12#39934C212yesmaximal, complemented
13#39909C212yesmaximal, complemented
14#38634C214yesmaximal, complemented
15#37963C212yesmaximal, complemented
16#37954C212yesmaximal, complemented
17#37898C212yesmaximal, complemented
18#37887C212yesmaximal, complemented
19#37567C211yesmaximal, characteristic, complemented
20#37027C212yesmaximal, complemented
21#37022C212yesmaximal, complemented
22#36461C212yesmaximal, complemented
23#36414C212yesmaximal, complemented
24#35510C212yesmaximal, complemented
25#35500C212yesmaximal, complemented
26#35301C211yesmaximal, characteristic, complemented
27#35292C211yesmaximal, characteristic, complemented
28#34875C211yesmaximal, characteristic, complemented
29#34367C211yesmaximal, characteristic, complemented
30#34193C211yesmaximal, characteristic, complemented
31#34048C211yesmaximal, characteristic, complemented
32C2×#532C2211yescharacteristic
33C2×C4×#41C2211yescharacteristic
34C22×#117C2211yescharacteristic
35#2861C2214yescomplemented
36#2860C2214yescomplemented
37#2857C2212yescomplemented
38#2856C2212yescomplemented
39#2854C2212yes—
40#2847C2212yes—
41#2841C2214yes—
42#2803C2214yescomplemented
43#2798C2214yescomplemented
44#2797C2214yescomplemented
45#2788C2214yescomplemented
46#2786C2214yescomplemented
47#2781C2214yescomplemented
48#2779C2214yes—
49#2777C2214yes—
50#2771C2214yescomplemented
51#2770C2214yescomplemented
52#2758C2214yescomplemented
53#2756C2214yes—
54#2756C2214yes—
55#2756C2214yes—
56#2752C2214yes—
57#2751C2214yes—
58#2750C2214yes—
59#2749C2214yes—
60#2747C2214yescomplemented
61#2741C2214yes—
62#2737C2214yescomplemented
63#2733C2214yes—
64#2727C2214yes—
65#2715C2214yes—
66#2714C2214yes—
67#2703C2214yes—
68#2703C2214yes—
69#2702C2214yes—
70#2700C2214yes—
71#2699C2214yes—
72#2697C2214yes—
73#2694C2214yes—
74#2691C2214yescomplemented
75#2691C2214yescomplemented
76#2690C2214yescomplemented
77#2689C2214yescomplemented
78#2686C2214yescomplemented
79#2685C2214yes—
80#2678C2214yes—
81#2670C2214yes—
82#2667C2212yes—
83#2666C2214yescomplemented
84#2665C2212yes—
85#2660C2212yescomplemented
86#2648C2214yes—
87#2648C2214yes—
88#2647C2212yescomplemented
89#2628C2211yescharacteristic
90#2628C2211yescharacteristic
91#2624C2212yes—
92#2619C2211yescharacteristic
93#2619C2211yescharacteristic
94#2615C2212yes—
95#2610C2214yes—
96#2610C2214yes—
97#2610C2212yes—
98#2610C2212yes—
99#2609C2212yes—
100#2609C2212yes—
101#2606C2212yescomplemented
102#2605C2214yescomplemented
103#2605C2212yescomplemented
104#2601C2214yes—
105#2599C2211yescharacteristic
106#2599C2211yescharacteristic
107#2599C2214yescomplemented
108#2598C2212yes—
109#2598C2211yescharacteristic
110#2598C2211yescharacteristic
111#2598C2212yes—
112#2597C2214yes—
113#2597C2214yes—
114#2597C2214yescomplemented
115#2597C2214yescomplemented
116#2595C2214yes—
117#2592C2214yes—
118#2592C2212yescomplemented
119#2591C2212yes—
120#2591C2214yes—
121#2580C2212yescomplemented
122#2579C2212yes—
123#2577C2214yescomplemented
124#2577C2214yescomplemented
125#2572C2214yes—
126#2570C2212yescomplemented
127#2562C2212yes—
128#2559C2214yes—
129#2558C2214yes—
130#2557C2214yes—
131#2557C2214yes—
132#2555C2214yes—
133#2554C2214yes—
134#2554C2214yes—
135#2554C2214yes—
136#2554C2214yes—
137#2553C2214yes—
138#2550C2212yescomplemented
139#2547C2212yes—
140#2540C2212yescomplemented
141#2539C2212yes—
142#2537C2212yes—
143#2535C2212yes—
144#2535C2212yescomplemented
145#2534C2212yes—
146#2533C2214yescomplemented
147#2532C2214yes—
148#2532C2214yes—
149#2532C2214yescomplemented
150#2532C2214yescomplemented
151#2531C2214yescomplemented
152#2531C2214yescomplemented
153#2529C2214yescomplemented
154#2526C2214yes—
155#2526C2214yescomplemented
156#2521C2214yes—
157#2520C2214yescomplemented
158#2519C2214yes—
159#2513C2214yes—
160#2512C2212yescomplemented
161#2512C2212yescomplemented
162#2507C2212yescomplemented
163#2506C2212yescomplemented
164#2497C2212yes—
165#2497C2212yes—
166#2496C2212yes—
167#2496C2212yescomplemented
168#2495C2212yes—
169#2495C2212yescomplemented
170#2491C2212yes—
171#2491C2212yescomplemented
172#2490C2212yes—
173#2490C2212yescomplemented
174#2485C2212yes—
175#2485C2212yes—
176#2484C2211yescharacteristic
177#2482C2211yescharacteristic
178#2481C2214yescomplemented
179#2478C2214yescomplemented
180#2476C2214yescomplemented
181#2474C2214yescomplemented
182#2473C2214yescomplemented
183#2471C2214yes—
184#2469C2214yescomplemented
185#2458C2214yes—
186#2441C2212yes—
187#2439C2212yes—
188#2422C2212yes—
189#2422C2212yes—
190#2414C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2414C2212yes—
194#2413C2214yes—
195#2407C2214yes—
196#2406C2211yescharacteristic
197#2406C2212yes—
198#2404C2211yescharacteristic
199#2404C2212yes—
200#2396C2211yescharacteristic
201#2396C2211yescharacteristic
202#2392C2211yescharacteristic
203#2392C2211yescharacteristic
204#2377C2212yes—
205#2377C2212yes—
206#2370C2212yescomplemented
207#2369C2212yescomplemented
208#2363C2212yes—
209#2363C2212yes—
210#2363C2212yescomplemented
211#2363C2212yescomplemented
212#2357C2212yescomplemented
213#2354C2212yes—
214#2354C2212yes—
215#2354C2212yescomplemented
216#2354C2212yescomplemented
217#2354C2212yescomplemented
218#2352C2214yescomplemented
219Q8×C4⋊C4C2212yescomplemented
220D4×C4⋊C4C2212yescomplemented
221#2347C2212yes—
222#2347C2214yescomplemented
223#2347C2212yescomplemented
224#2346C2212yescomplemented
225#2341C2212yes—
226#2337C2214yes—
227#2337C2212yescomplemented
228#2337C2212yescomplemented
229#2335C2214yes—
230#2331C2212yescomplemented
231#2328C2212yescomplemented
232#2324C2212yes—
233#2324C2212yes—
234#2324C2214yescomplemented
235#2319C2214yes—
236#2319C2212yescomplemented
237#2314C2212yes—
238#2314C2212yes—
239#2314C2212yes—
240#2314C2212yes—
241#2313C2212yes—
242#2313C2212yes—
243#2312C2212yes—
244#2312C2212yes—
245#2311C2214yes—
246C4×#126C2214yescomplemented
247C4×#123C2212yes—
248C4×#120C2212yes—
249#2298C2212yes—
250#2298C2212yes—
251#2298C2212yes—
252#2298C2212yes—
253#2298C2214yescomplemented
254#2290C2212yes—
255#2290C2212yes—
256#2285C2211yescharacteristic
257#2285C2211yescharacteristic
258#2285C2212yescomplemented
259#2283C2211yescharacteristic
260#2283C2211yescharacteristic
261#2283C2212yescomplemented
262#2280C2211yescharacteristic
263#2280C2211yescharacteristic
264#2276C2212yescomplemented
265C4×#117C2211yescharacteristic
266C4×#117C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C24×C4C2311yescharacteristic
270#532—28no—
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2312yes—
273C2×#127C2311yescharacteristic
274C2×#126C2314yes—
275C2×#126C2314yes—
276C2×#126C2314yes—
277C2×#126C2314yes—
278C2×#125C2312yes—
279C2×#125C2314yes—
280C2×#124C2312yes—
281C2×#124C2314yes—
282C2×#124C2314yes—
283C2×#124C2314yes—
284C2×#123C2314yes—
285C2×#123C2312yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×C22⋊Q8C2314yes—
289C2×#121C2312yes—
290C2×#121C2312yes—
291C2×#121C2312yes—
292C2×#121C2312yes—
293C2×#121C2314yes—
294C2×#121C2312yes—
295C2×#121C2312yes—
296C2×#121C2314yes—
297C2×#121C2314yes—
298C2×#120C2312yes—
299C2×#120C2314yes—
300C4×#41—28no—
301C2×C4×Q8C2311yescharacteristic
302C2×C4×Q8C2311yescharacteristic
303C2×C4×Q8C2314yes—
304C2×C4×D4C2312yes—
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2312yes—
307C2×C4×D4C2312yes—
308C2×C4×D4C2312yes—
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2312yes—
311C2×C4×D4C2312yes—
312C2×C4×D4C2312yes—
313C2×C4×D4C2312yes—
314C2×#117—28no—
315C2×#117C2311yescharacteristic
316C2×#117C2311yescharacteristic
317C2×#117C2311yescharacteristic
318C2×#117C2311yescharacteristic
319C2×#117C2312yes—
320C2×#117C2311yescharacteristic
321C2×#117C2311yescharacteristic
322C2×#117C2311yescharacteristic
323C2×#117C2311yescharacteristic
324C2×#117C2311yescharacteristic
325C2×#117C2314yes—
326C2×#117C2312yes—
327C2×#117C2312yes—
328C2×#117C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2311yescharacteristic
331C2×#117C2311yescharacteristic
332C2×#117C2314yes—
333C22×C4⋊C4C2311yescharacteristic
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2314yes—
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C42C2311yescharacteristic
339C22×C42C2312yes—
340C22×C42C2311yescharacteristic
341#400C2314yes—
342#400C2314yes—
343#400C2314yes—
344#400C2312yes—
345#400C2314yes—
346#400C2314yes—
347#400C2312yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2311yescharacteristic
352#400C2311yescharacteristic
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#399C2314yes—
357#399C2314yes—
358#399C2312yes—
359#399C2312yes—
360#399C2311yescharacteristic
361#399C2311yescharacteristic
362#398C2314yes—
363#398C2311yescharacteristic
364#398C2314yes—
365#398C2312yes—
366#398C2312yes—
367#398C2314yes—
368#398C2314yes—
369#398C2314yes—
370#398C2311yescharacteristic
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#397C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2311yescharacteristic
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2311yescharacteristic
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#396C2312yes—
394#396C2312yes—
395#396C2314yes—
396#396C2314yes—
397#396C2312yes—
398#396C2314yes—
399#396C2312yes—
400#396C2314yes—
401#396C2314yes—
402#396C2314yes—
403#395C2314yes—
404#395C2314yes—
405#395C2311yescharacteristic
406#395C2311yescharacteristic
407#395C2312yes—
408#395C2312yes—
409#395C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2312yes—
413#394C2312yes—
414#394C2312yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2312yes—
419#394C2311yescharacteristic
420#394C2311yescharacteristic
421#394C2314yes—
422#394C2312yes—
423#394C2312yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#393C2314yes—
434#393C2314yes—
435#393C2314yes—
436#393C2311yescharacteristic
437#393C2311yescharacteristic
438#393C2312yes—
439#393C2312yes—
440#393C2314yes—
441#392C2312yes—
442#392C2312yes—
443#392C2311yescharacteristic
444#392C2311yescharacteristic
445#392C2312yes—
446#392C2312yes—
447#392C2314yes—
448#392C2314yes—
449#392C2314yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#391C2314yes—
454#391C2314yes—
455#391C2314yes—
456#391C2314yes—
457#391C2314yes—
458#391C2314yes—
459#391C2314yes—
460#391C2314yes—
461#390C2314yes—
462#390C2314yes—
463#390C2314yes—
464#390C2314yes—
465#390C2314yes—
466#390C2314yes—
467#390C2312yes—
468#390C2312yes—
469#390C2314yes—
470#390C2314yes—
471#390C2314yes—
472#390C2314yes—
473#390C2312yes—
474#390C2312yes—
475#390C2312yes—
476#390C2312yes—
477#390C2314yes—
478#390C2314yes—
479#390C2314yes—
480#390C2314yes—
481#390C2314yes—
482#390C2314yes—
483#390C2314yes—
484#389C2312yes—
485#389C2312yes—
486#389C2314yes—
487#389C2314yes—
488#389C2314yes—
489#389C2312yes—
490#389C2312yes—
491#389C2314yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2314yes—
497#389C2312yes—
498#389C2312yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#387C2312yes—
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#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2312yes—
578#387C2312yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2312yes—
584#387C2312yes—
585#387C2314yes—
586#387C2314yes—
587#387C2312yes—
588#387C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2312yes—
595#386C2312yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2312yes—
608#386C2312yes—
609#386C2312yes—
610#386C2312yes—
611#386C2312yes—
612#386C2312yes—
613#386C2314yes—
614#386C2314yes—
615#385C2312yes—
616#385C2314yes—
617#385C2312yes—
618#385C2312yes—
619#385C2312yes—
620#385C2312yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2312yes—
626#385C2312yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2312yes—
631#384C2312yes—
632#384C2312yes—
633#384C2312yes—
634#384C2312yes—
635#384C2312yes—
636#383C2314yes—
637#383C2314yes—
638#383C2314yes—
639#383C2311yescharacteristic
640#383C2311yescharacteristic
641#383C2312yes—
642#383C2314yes—
643#382C2312yes—
644#382C2312yes—
645#382C2312yes—
646#382C2314yes—
647#382C2312yes—
648#382C2311yescharacteristic
649#382C2311yescharacteristic
650#381C2312yes—
651#381C2312yes—
652#381C2312yes—
653#381C2314yes—
654#381C2312yes—
655#381C2314yes—
656#381C2311yescharacteristic
657#381C2311yescharacteristic
658#380C2312yes—
659#380C2312yes—
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2314yes—
665#380C2314yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2314yes—
673#380C2314yes—
674#380C2314yes—
675#380C2312yes—
676#380C2312yes—
677#380C2314yes—
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681#379C2312yes—
682#379C2312yes—
683#379C2312yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2311yescharacteristic
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729#376C2314yes—
730#376C2312yes—
731#376C2312yes—
732#376C2314yes—
733#376C2312yes—
734#376C2312yes—
735C43C2312yes—
736C43C2312yes—
737C25C2411yescharacteristic
738C2×#41—24no—
739C2×#41—28no—
740C2×#41—44no—
741C2×#41—84no—
742C22×Q8C2411yescharacteristic
743C22×Q8C2412yes—
744C22×Q8C2414yes—
745C22×D4C2412yes—
746C22×D4C2412yes—
747C22×D4C2411yescharacteristic
748C22×D4C2412yes—
749C22×D4C2414yes—
750C22×D4C2412yes—
751C22×D4C2412yes—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C23×C4—24no—
758C23×C4—42no—
759C23×C4—42no—
760C23×C4C2412yes—
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C23×C4C2412yes—
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C23×C4C2414yes—
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2412yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C4⋊Q8—24no—
777C4⋊Q8—44no—
778#127—24no—
779#126—48no—
780#126—84no—
781#126—84no—
782#126—84no—
783#125—44no—
784#125—84no—
785#124—28no—
786#124—48no—
787#124—84no—
788#124—84no—
789#123—48no—
790#123—44no—
791#123—84no—
792#123—84no—
793C22⋊Q8—84no—
794#121—28no—
795#121—28no—
796#121—48no—
797#121—44no—
798#121—44no—
799#121—44no—
800#121—44no—
801#121—84no—
802#121—84no—
803#120—44no—
804#120—84no—
805C4×Q8—24no—
806C4×Q8—24no—
807C4×Q8—48no—
808C4×D4—28no—
809C4×D4—28no—
810C4×D4—24no—
811C4×D4—24no—
812C4×D4—28no—
813C4×D4—28no—
814C4×D4—44no—
815C4×D4—44no—
816C4×D4—44no—
817C4×D4—44no—
818#117—24no—
819#117—24no—
820#117—24no—
821#117—24no—
822#117—24no—
823#117—24no—
824#117—24no—
825#117—24no—
826#117—24no—
827#117—28no—
828#117—48no—
829#117—42no—
830#117—42no—
831#117—44no—
832#117—44no—
833#117—42no—
834#117—42no—
835#117—84no—
836C2×C4⋊C4—24no—
837C2×C4⋊C4—24no—
838C2×C4⋊C4—84no—
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2411yescharacteristic
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C22⋊C4—24no—
891C2×C22⋊C4—24no—
892C2×C22⋊C4C2411yescharacteristic
893C2×C22⋊C4C2411yescharacteristic
894C2×C22⋊C4C2411yescharacteristic
895C2×C22⋊C4C2411yescharacteristic
896C2×C22⋊C4C2411yescharacteristic
897C2×C22⋊C4C2411yescharacteristic
898C2×C22⋊C4C2411yescharacteristic
899C2×C22⋊C4C2411yescharacteristic
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C42—24no—
955C2×C42—28no—
956C2×C42#4118yes—
957C2×C42C2411yescharacteristic
958C2×C42C2411yescharacteristic
959C2×C42C2411yescharacteristic
960C2×C42C2411yescharacteristic
961C2×C42C2412yes—
962C2×C42C2414yes—
963C2×C42C2412yes—
964C2×C42C2412yes—
965C2×C42C2412yes—
966C2×C42C2412yes—
967C2×C42C2414yes—
968C2×C42C2414yes—
969C2×C42C2412yes—
970C2×C42C2412yes—
971C2×C42C2412yes—
972C2×C42C2412yes—
973C2×C42C2414yes—
974C2×C42C2414yes—
975C2×C42C2414yes—
976C2×C42C2414yes—
977C2×C42C2414yes—
978C2×C42C2414yes—
979C2×C42C2414yes—
980C2×C42C2414yes—
981C2×C42C2411yescharacteristic
982C2×C42C2411yescharacteristic
983C2×C42C2411yescharacteristic
984C2×C42C2411yescharacteristic
985#95C2412yes—
986#95C2412yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2412yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2412yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2414yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2411yescharacteristic
1037#95C2411yescharacteristic
1038#95C2414yes—
1039#95C2411yescharacteristic
1040#95C2411yescharacteristic
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047C24—22no—
1048C24—41no—
1049C24—41no—
1050C24—42no—
1051C24—42no—
1052C24C2511yescharacteristic
1053C24C2511yescharacteristic
1054C24C2512yes—
1055C24C2514yes—
1056C24C2511yescharacteristic
1057#41—416no—
1058#41—816no—
1059C2×Q8—22no—
1060C2×Q8—24no—
1061C2×Q8—24no—
1062C2×Q8—44no—
1063C2×Q8—44no—
1064C2×Q8—44no—
1065C2×Q8—44no—
1066C2×D4—24no—
1067C2×D4—28no—
1068C2×D4—22no—
1069C2×D4—24no—
1070C2×D4—24no—
1071C2×D4—24no—
1072C2×D4—24no—
1073C2×D4—24no—
1074C2×D4—24no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—42no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—42no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—24no—
1105C22×C4—24no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—28no—
1111C22×C4—24no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—24no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—24no—
1118C22×C4—24no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—416no—
1141C22×C4C2×#4114yes—
1142C22×C4C2×#4114yes—
1143C22×C4C2×#4114yes—
1144C22×C4C2511yescharacteristic
1145C22×C4C2511yescharacteristic
1146C22×C4C2512yes—
1147C22×C4C2512yes—
1148C22×C4C2512yes—
1149C22×C4C2511yescharacteristic
1150C22×C4C2511yescharacteristic
1151C22×C4C2514yes—
1152C22×C4C2514yes—
1153C22×C4C2514yes—
1154C22×C4C2512yes—
1155C22×C4C2514yes—
1156C22×C4C2514yes—
1157C22×C4C2514yes—
1158C22×C4C2514yes—
1159C22×C4C2511yescharacteristic
1160C22×C4C2511yescharacteristic
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C22×C4C2511yescharacteristic
1164C22×C4C2511yescharacteristic
1165C22×C4C2511yescharacteristic
1166C22×C4C2511yescharacteristic
1167C22×C4C2511yescharacteristic
1168C22×C4C2512yes—
1169C22×C4C2511yescharacteristic
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
1174C4⋊C4—22no—
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—22no—
1178C4⋊C4—24no—
1179C4⋊C4—24no—
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—24no—
1183C4⋊C4—24no—
1184C4⋊C4—24no—
1185C4⋊C4—24no—
1186C4⋊C4—24no—
1187C4⋊C4—24no—
1188C4⋊C4—24no—
1189C4⋊C4—24no—
1190C4⋊C4—28no—
1191C4⋊C4—24no—
1192C4⋊C4—24no—
1193C4⋊C4—42no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—42no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—42no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C22⋊C4—24no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—24no—
1231C22⋊C4—24no—
1232C22⋊C4—28no—
1233C22⋊C4—28no—
1234C22⋊C4—28no—
1235C22⋊C4—24no—
1236C22⋊C4—24no—
1237C22⋊C4—28no—
1238C22⋊C4—44no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—42no—
1248C22⋊C4—44no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—44no—
1253C22⋊C4—42no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—44no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—42no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C42—22no—
1284C42—22no—
1285C42—24no—
1286C42—22no—
1287C42—22no—
1288C42—24no—
1289C42—24no—
1290C42—28no—
1291C42—24no—
1292C42—24no—
1293C42—42no—
1294C42—42no—
1295C42—42no—
1296C42—42no—
1297C42—44no—
1298C42—44no—
1299C42—44no—
1300C42—44no—
1301C42—44no—
1302C42—44no—
1303C42—44no—
1304C42—44no—
1305C42—44no—
1306C42—44no—
1307C42C2×#4114yes—
1308C42C2×#4114yes—
1309C42C2×#4114yes—
1310C42C2×#4114yes—
1311C23—21no—
1312C23—21no—
1313C23—22no—
1314C23—22no—
1315C23—21no—
1316C23—21no—
1317C23—22no—
1318C23—24no—
1319C23—24no—
1320C23—22no—
1321C23—22no—
1322C23—24no—
1323C23—22no—
1324C23—24no—
1325C23—24no—
1326C23—21no—
1327C23—21no—
1328C23—22no—
1329C23—22no—
1330C23—21no—
1331C23—21no—
1332C23—22no—
1333C23—22no—
1334C23—24no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—24no—
1339C23—44no—
1340C23—82no—
1341C23—82no—
1342C23—84no—
1343C23—84no—
1344C23C22×#4112yes—
1345C23C2611yescharacteristic
1346Q8—28no—
1347Q8—84no—
1348Q8—164no—
1349D4—48no—
1350D4—44no—
1351D4—48no—
1352D4—84no—
1353D4—84no—
1354D4—88no—
1355D4—84no—
1356D4—84no—
1357D4—164no—
1358D4—164no—
1359D4—164no—
1360D4—164no—
1361C2×C4—22no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—28no—
1370C2×C4—22no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—22no—
1376C2×C4—24no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—24no—
1380C2×C4—24no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—24no—
1389C2×C4—24no—
1390C2×C4—24no—
1391C2×C4—24no—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—24no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—24no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—24no—
1411C2×C4—24no—
1412C2×C4—24no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—24no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—48no—
1426C2×C4—44no—
1427C2×C4—44no—
1428C2×C4—416no—
1429C2×C4—44no—
1430C2×C4—48no—
1431C2×C4—44no—
1432C2×C4—44no—
1433C2×C4—84no—
1434C2×C4—82no—
1435C2×C4—82no—
1436C2×C4—88no—
1437C2×C4—164no—
1438C2×C4C22×#4112yes—
1439C2×C4C22×#4112yes—
1440C2×C4C22×#4112yes—
1441C2×C4C22×#4112yes—
1442C2×C4C22×#4112yes—
1443C2×C4C22×#4112yes—
1444C2×C4#58514yes—
1445C2×C4#58512yes—
1446C2×C4#58512yes—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—42no—
1451C22—42no—
1452C22—41no—
1453C22—41no—
1454C22—42no—
1455C22—44no—
1456C22—42no—
1457C22—44no—
1458C22—41no—
1459C22—41no—
1460C22—44no—
1461C22—42no—
1462C22—41no—
1463C22—41no—
1464C22—44no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—44no—
1469C22—42no—
1470C22—42no—
1471C22—42no—
1472C22—42no—
1473C22—44no—
1474C22—42no—
1475C22—44no—
1476C22—88no—
1477C22C23×#4111yescharacteristic
1478C22C2×#58511yescharacteristic
1479C22C2×#58511yescharacteristic
1480C22C2×#58512yes—
1481C22H(7,𝔽2)12yes—
1482C4—22no—
1483C4—22no—
1484C4—22no—
1485C4—24no—
1486C4—22no—
1487C4—22no—
1488C4—42no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—44no—
1494C4—41no—
1495C4—41no—
1496C4—42no—
1497C4—44no—
1498C4—42no—
1499C4—44no—
1500C4—42no—
1501C4—44no—
1502C4—42no—
1503C4—42no—
1504C4—44no—
1505C4—44no—
1506C4—44no—
1507C4#349314yes—
1508C2—42no—
1509C2—82no—
1510C2—84no—
1511C2—81no—
1512C2—81no—
1513C2C2×#349311yescharacteristic
1514C2#6281411yescharacteristic
1515C2#6285511yescharacteristic
1516C2#6293712yes—
1517C2#6296612yes—
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. #50188C2semidirect
2. #49598C2semidirect
3. #48798C2semidirect
4. #47886C2semidirect
5. #47565C2semidirect
6. #46392C2semidirect
7. #44912C2semidirect
8. #44911C2semidirect
9. #44910C2semidirect
10. #44909C2semidirect
11. #40250C2semidirect
12. #39934C2semidirect
13. #39909C2semidirect
14. #38634C2semidirect
15. #37963C2semidirect
16. #37954C2semidirect
17. #37898C2semidirect
18. #37887C2semidirect
19. #37567C2semidirect
20. #37027C2semidirect
21. #37022C2semidirect
22. #36461C2semidirect
23. #36414C2semidirect
24. #35510C2semidirect
25. #35500C2semidirect
26. #35301C2semidirect
27. #35292C2semidirect
28. #34875C2semidirect
29. #34367C2semidirect
30. #34193C2semidirect
31. #34048C2semidirect
35. #2861C22semidirect
36. #2860C22semidirect
37. #2857C22semidirect
38. #2856C22semidirect
42. #2803C22semidirect
43. #2798C22semidirect
44. #2797C22semidirect
45. #2788C22semidirect
46. #2786C22semidirect
47. #2781C22semidirect
50. #2771C22semidirect
51. #2770C22semidirect
52. #2758C22semidirect
60. #2747C22semidirect
62. #2737C22semidirect
74. #2691C22semidirect
75. #2691C22semidirect
76. #2690C22semidirect
77. #2689C22semidirect
78. #2686C22semidirect
83. #2666C22semidirect
85. #2660C22semidirect
88. #2647C22semidirect
101. #2606C22semidirect
102. #2605C22semidirect
103. #2605C22semidirect
107. #2599C22semidirect
114. #2597C22semidirect
115. #2597C22semidirect
118. #2592C22semidirect
121. #2580C22semidirect
123. #2577C22semidirect
124. #2577C22semidirect
126. #2570C22semidirect
138. #2550C22semidirect
140. #2540C22semidirect
144. #2535C22semidirect
146. #2533C22semidirect
149. #2532C22semidirect
150. #2532C22semidirect
151. #2531C22semidirect
152. #2531C22semidirect
153. #2529C22semidirect
155. #2526C22semidirect
157. #2520C22semidirect
160. #2512C22semidirect
161. #2512C22semidirect
162. #2507C22semidirect
163. #2506C22semidirect
167. #2496C22semidirect
169. #2495C22semidirect
171. #2491C22semidirect
173. #2490C22semidirect
178. #2481C22semidirect
179. #2478C22semidirect
180. #2476C22semidirect
181. #2474C22semidirect
182. #2473C22semidirect
184. #2469C22semidirect
206. #2370C22semidirect
207. #2369C22semidirect
210. #2363C22semidirect
211. #2363C22semidirect
212. #2357C22semidirect
215. #2354C22semidirect
216. #2354C22semidirect
217. #2354C22semidirect
218. #2352C22semidirect
219. Q8×C4⋊C4C22semidirect
220. D4×C4⋊C4C22semidirect
222. #2347C22semidirect
223. #2347C22semidirect
224. #2346C22semidirect
227. #2337C22semidirect
228. #2337C22semidirect
230. #2331C22semidirect
231. #2328C22semidirect
234. #2324C22semidirect
236. #2319C22semidirect
246. C4×#126C22semidirect
253. #2298C22semidirect
258. #2285C22semidirect
261. #2283C22semidirect
264. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#501882
#495982
#487982
#478862
#475652
#463922
#449122
#449112
#449102
#449092
#402502
#399342
#399092
#386342
#379632
#379542
#378982
#378872
#375672
#370272
#370222
#364612
#364142
#355102
#355002
#353012
#352922
#348752
#343672
#341932
#340482