Finite Group Databasebeta

← #7657562

Subgroups — #7657562

Order 512.

4331 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42782C212yesmaximal, complemented
2#42780C212yesmaximal, complemented
3#42748C212yesmaximal, complemented
4#42744C212yesmaximal, complemented
5#41475C214yesmaximal, complemented
6#41447C214yesmaximal, complemented
7#40841C214yesmaximal, complemented
8#40815C214yesmaximal, complemented
9#39157C211yesmaximal, characteristic, complemented
10#39149C211yesmaximal, characteristic, complemented
11#38986C211yesmaximal, characteristic, complemented
12#38976C211yesmaximal, characteristic, complemented
13#38122C212yesmaximal, complemented
14#38113C212yesmaximal, complemented
15#38066C212yesmaximal, complemented
16#38057C212yesmaximal, complemented
17#37638C211yesmaximal, characteristic, complemented
18#37630C211yesmaximal, characteristic, complemented
19#37504C212yesmaximal, complemented
20#37495C212yesmaximal, complemented
21#36290C211yesmaximal, characteristic, complemented
22#36276C211yesmaximal, characteristic, complemented
23#36275C211yesmaximal, characteristic
24#36274C211yesmaximal, characteristic
25#36053C212yesmaximal
26#35961C212yesmaximal, complemented
27#35961C212yesmaximal, complemented
28#35888C212yesmaximal
29#35315C212yesmaximal, complemented
30#35291C211yesmaximal, characteristic, complemented
31#34629C211yesmaximal, characteristic, complemented
32C2×#2645C212yesmaximal, complemented
33#34334C211yesmaximal, characteristic, complemented
34#34332C211yesmaximal, characteristic, complemented
35#34123C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2862C2211yescharacteristic
40#2859C2211yescharacteristic
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2857C2212yes—
44#2855C2212yes—
45#2855C2212yes—
46#2851C2212yes—
47#2839C2214yes—
48#2839C2214yes—
49#2836C2214yes—
50#2833C2214yes—
51#2833C2214yes—
52#2831C2214yes—
53#2802C2214yes—
54#2798C2214yes—
55#2789C2214yes—
56#2789C2214yes—
57#2783C2214yes—
58#2776C2214yes—
59#2776C2214yes—
60#2776C2214yes—
61#2769C2214yes—
62#2766C2214yes—
63#2766C2214yes—
64#2762C2214yes—
65#2762C2214yes—
66#2762C2214yes—
67#2758C2214yes—
68#2758C2214yes—
69#2758C2214yes—
70#2755C2214yes—
71#2754C2214yes—
72#2739C2214yes—
73#2725C2214yes—
74#2719C2214yes—
75#2719C2214yes—
76#2689C2214yes—
77#2666C2214yes—
78#2664C2214yes—
79#2655C2212yes—
80#2655C2214yes—
81#2655C2214yes—
82#2655C2212yes—
83#2652C2212yes—
84#2652C2212yes—
85#2650C2214yes—
86#2647C2212yes—
87#2647C2212yes—
88#2647C2212yes—
89#2647C2211yescharacteristic
90#2646C2214yes—
91#2646C2214yes—
92#2645C2214yes—
93#2645C2212yes—
94#2645C2212yes—
95#2645C2214yes—
96#2645C2212yes—
97#2645C2211yescharacteristic
98#2645C2212yes—
99#2645C2212yes—
100#2645C2214yes—
101#2645C2212yes—
102#2645C2214yes—
103#2645C2212yes—
104#2645C2212yes—
105#2645C2212yes—
106#2645C2211yescharacteristic
107#2643C2214yes—
108#2643C2214yes—
109#2642C2211yescharacteristic
110#2642C2212yes—
111#2634C2214yes—
112#2629C2211yescharacteristic
113#2625C2211yescharacteristic
114#2625C2211yescharacteristic
115#2625C2212yes—
116#2621C2211yescharacteristic
117#2582C2211yescharacteristic
118#2582C2211yescharacteristic
119#2571C2211yescharacteristic
120#2571C2212yes—
121#2571C2212yes—
122#2570C2212yes—
123#2570C2212yes—
124#2569C2214yes—
125#2569C2214yes—
126#2568C2211yescharacteristic
127#2567C2211yescharacteristic
128#2567C2211yescharacteristic
129#2552C2211yescharacteristic
130#2550C2212yes—
131#2550C2212yes—
132#2549C2214yes—
133#2549C2214yes—
134#2546C2211yescharacteristic
135#2533C2214yes—
136#2533C2214yes—
137#2528C2214yes—
138#2528C2214yes—
139#2514C2212yes—
140#2514C2212yes—
141#2514C2212yes—
142#2514C2212yes—
143#2514C2212yes—
144#2514C2212yes—
145#2514C2212yes—
146#2511C2212yes—
147#2511C2212yes—
148#2510C2214yes—
149#2510C2214yes—
150#2510C2214yes—
151#2510C2214yes—
152#2509C2212yes—
153#2509C2212yes—
154#2509C2212yes—
155#2509C2212yes—
156#2509C2212yes—
157#2508C2212yes—
158#2508C2212yes—
159#2507C2212yes—
160#2506C2212yes—
161#2506C2212yes—
162#2506C2212yes—
163#2506C2212yes—
164#2505C2214yes—
165#2505C2214yes—
166#2505C2214yes—
167#2505C2214yes—
168#2505C2214yes—
169#2505C2214yes—
170#2505C2214yes—
171#2502C2212yes—
172#2497C2212yes—
173#2496C2212yes—
174#2496C2212yes—
175#2495C2212yes—
176#2494C2212yes—
177#2494C2212yes—
178#2494C2212yes—
179#2493C2214yes—
180#2493C2214yes—
181#2493C2214yes—
182#2493C2214yes—
183#2493C2214yes—
184#2493C2214yes—
185#2489C2212yes—
186#2489C2212yes—
187#2487C2212yes—
188#2481C2214yes—
189#2481C2214yes—
190#2473C2214yes—
191#2473C2214yes—
192#2473C2214yes—
193#2453C2212yes—
194#2453C2212yes—
195#2453C2212yes—
196#2453C2212yes—
197#2451C2212yes—
198#2450C2214yes—
199#2449C2214yes—
200#2446C2212yes—
201#2446C2212yes—
202#2442C2212yes—
203#2442C2214yes—
204#2442C2214yes—
205#2442C2212yes—
206#2441C2212yes—
207#2439C2212yes—
208#2438C2214yes—
209#2438C2214yes—
210#2434C2212yes—
211#2429C2212yes—
212#2421C2212yes—
213#2421C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2409C2212yes—
217#2402C2212yes—
218#2402C2212yes—
219#2401C2212yes—
220#2401C2212yes—
221C2×#401C2214yes—
222C2×#400C2214yes—
223C2×#400C2214yes—
224C2×#400C2214yes—
225#2370C2212yes—
226#2369C2211yescharacteristic
227#2369C2212yes—
228#2368C2214yes—
229#2365C2211yescharacteristic
230#2360C2214yes—
231#2360C2212yes—
232#2360C2212yes—
233#2356C2211yescharacteristic
234#2356C2211yescharacteristic
235#2355C2211yescharacteristic
236#2353C2212yes—
237#2353C2212yes—
238Q8×C4⋊C4C2211yescharacteristic
239#2349C2212yes—
240#2349C2212yes—
241#2349C2211yescharacteristic
242#2349C2211yescharacteristic
243#2349C2212yes—
244#2349C2212yes—
245#2349C2212yes—
246D4×C4⋊C4C2212yes—
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2212yes—
250D4×C4⋊C4C2212yes—
251#2346C2211yescharacteristic
252#2346C2211yescharacteristic
253#2345C2212yes—
254#2343C2212yes—
255#2343C2212yes—
256Q8×C22⋊C4C2212yes—
257#2339C2211yescharacteristic
258#2339C2212yes—
259#2339C2212yes—
260#2339C2211yescharacteristic
261#2331C2212yes—
262#2330C2212yes—
263#2330C2212yes—
264#2329C2214yes—
265#2329C2214yes—
266#2327C2212yes—
267#2323C2212yes—
268#2320C2212yes—
269#2320C2212yes—
270#2320C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×#125C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279#2295C2211yescharacteristic
280#2295C2211yescharacteristic
281#2295C2211yescharacteristic
282#2295C2211yescharacteristic
283C2×#391C2212yes—
284C2×#391C2212yes—
285C2×#391C2212yes—
286C2×#389C2212yes—
287C2×#389C2212yes—
288C2×#389C2212yes—
289#2290C2212yes—
290#2290C2212yes—
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2275C2212yes—
294#2275C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×#376C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301#554—28no—
302D4×Q8—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×#126C2314yes—
309C2×#125C2312yes—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2314yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C4×#41—28no—
324C2×C4×Q8C2311yescharacteristic
325C2×C4×Q8C2311yescharacteristic
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2312yes—
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2312yes—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×#117C2312yes—
345C2×#117C2311yescharacteristic
346C2×#117C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2312yes—
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2314yes—
352C22×C4⋊C4C2314yes—
353C22×C4⋊C4C2314yes—
354C22×C42C2312yes—
355C22×C42C2311yescharacteristic
356C22×C42C2312yes—
357C22×C42C2312yes—
358#401C2314yes—
359#401C2314yes—
360#401C2314yes—
361#401C2314yes—
362#401C2312yes—
363#401C2314yes—
364#401C2314yes—
365#401C2314yes—
366#401C2314yes—
367#401C2314yes—
368#401C2312yes—
369#400C2314yes—
370#400C2312yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#399C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2312yes—
454#398C2312yes—
455#398C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2314yes—
471#396C2312yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#393C2314yes—
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#387C2312yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#385C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#383C2312yes—
689#383C2312yes—
690#383C2312yes—
691#383C2314yes—
692#383C2314yes—
693#382C2311yescharacteristic
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2312yes—
698#382C2311yescharacteristic
699#382C2314yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2314yes—
705#382C2314yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#381C2312yes—
710#381C2312yes—
711#381C2314yes—
712#381C2314yes—
713#381C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2311yescharacteristic
775C4×C22⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787#376C2311yescharacteristic
788#376C2312yes—
789#376C2312yes—
790#376C2312yes—
791#376C2312yes—
792#376C2312yes—
793#376C2312yes—
794#376C2312yes—
795#376C2312yes—
796#376C2312yes—
797#376C2311yescharacteristic
798C2×#95C2314yes—
799C2×#95C2314yes—
800C2×#95C2314yes—
801C2×#95C2314yes—
802C2×#95C2312yes—
803C2×#95C2312yes—
804C2×#95C2314yes—
805C2×#95C2314yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—24no—
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2414yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C4⋊Q8—28no—
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844C4⋊Q8—44no—
845C4⋊Q8—42no—
846#126—84no—
847#125—28no—
848#125—44no—
849#125—42no—
850#125—84no—
851#125—82no—
852#125—84no—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—216no—
856C22⋊Q8—216no—
857C22⋊Q8—42no—
858C22⋊Q8—44no—
859C22⋊Q8—42no—
860C22⋊Q8—82no—
861C4×Q8—24no—
862C4×Q8—24no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—44no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—82no—
869C4×D4—24no—
870C4×D4—28no—
871C4×D4—28no—
872C4×D4—28no—
873C4×D4—28no—
874C4×D4—24no—
875C4×D4—24no—
876C4×D4—24no—
877C4×D4—24no—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4#4118yes—
881#117—24no—
882#117—28no—
883#117—42no—
884#117—42no—
885C2×C4⋊C4—28no—
886C2×C4⋊C4—44no—
887C2×C4⋊C4—44no—
888C2×C4⋊C4—84no—
889C2×C4⋊C4—84no—
890C2×C4⋊C4—84no—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C42—28no—
992C2×C42—24no—
993C2×C42—44no—
994C2×C42—44no—
995C2×C42C2412yes—
996C2×C42C2411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2414yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2411yescharacteristic
1030#95C2411yescharacteristic
1031#95C2411yescharacteristic
1032#95C2411yescharacteristic
1033#95C2411yescharacteristic
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136C24C2511yescharacteristic
1137C24C2512yes—
1138#41—416no—
1139C2×Q8—22no—
1140C2×Q8—22no—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—28no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—42no—
1154C2×Q8—44no—
1155C2×Q8—44no—
1156C2×Q8—42no—
1157C2×Q8—816no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4C2×#4114yes—
1162C2×D42−1+414yes—
1163C2×D42−1+414yes—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—28no—
1171C22×C4—28no—
1172C22×C4—28no—
1173C22×C4—28no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—42no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—44no—
1202C22×C4—42no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4C2×#4118yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2514yes—
1227C22×C4C2514yes—
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C4⋊C4—22no—
1240C4⋊C4—28no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4C2×#4114yes—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4C2×#4118yes—
1339C42—22no—
1340C42—24no—
1341C42—22no—
1342C42—22no—
1343C42—24no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—24no—
1352C42—24no—
1353C42—22no—
1354C42—22no—
1355C42—24no—
1356C42—24no—
1357C42—22no—
1358C42—22no—
1359C42—42no—
1360C42—42no—
1361C42—42no—
1362C42—42no—
1363C42—41no—
1364C42—41no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—41no—
1370C42—44no—
1371C42—41no—
1372C42—44no—
1373C42C2×#4114yes—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23C22×#4114yes—
1386C23C2×2−1+414yes—
1387C23C2×2−1+414yes—
1388C23C2611yescharacteristic
1389Q8—44no—
1390Q8—44no—
1391Q8—48no—
1392Q8—44no—
1393Q8—84no—
1394Q8—88no—
1395D4—48no—
1396D4#541116yes—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—216no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—24no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—24no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—48no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—82no—
1493C2×C4—84no—
1494C2×C4—88no—
1495C2×C4—84no—
1496C2×C4—84no—
1497C2×C4—84no—
1498C2×C4—84no—
1499C2×C4—88no—
1500C2×C4—88no—
1501C2×C4—88no—
1502C2×C4C22×#4114yes—
1503C2×C4C22×#4112yes—
1504C2×C4C22×#4112yes—
1505C2×C4C22×#4112yes—
1506C2×C4C2×2−1+412yes—
1507C2×C4C2×2−1+412yes—
1508C2×C4#58512yes—
1509C2×C4#58512yes—
1510C22—24no—
1511C22—24no—
1512C22—24no—
1513C22—24no—
1514C22—24no—
1515C22—24no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22C2×#54118yes—
1524C22C23×#4111yescharacteristic
1525C22C22×2−1+411yescharacteristic
1526C22C22×2−1+411yescharacteristic
1527C22C2×#58511yescharacteristic
1528C22C2×#58511yescharacteristic
1529C22H(7,𝔽2)11yescharacteristic
1530C222−1+611yescharacteristic
1531C4—24no—
1532C4—22no—
1533C4—41no—
1534C4—42no—
1535C4—44no—
1536C4—42no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—41no—
1541C4—44no—
1542C4—41no—
1543C4—42no—
1544C4—41no—
1545C4—41no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—42no—
1555C4—42no—
1556C4—44no—
1557C4—44no—
1558C4—41no—
1559C4—41no—
1560C4—42no—
1561C4—42no—
1562C4C2×#54114yes—
1563C4#352114yes—
1564C2—28no—
1565C2—81no—
1566C2C22×#54111yescharacteristic
1567C2C2×#352111yescharacteristic
1568C2#6285711yescharacteristic
1569C2#6295011yescharacteristic
1570C2#6295011yescharacteristic
1571C2#6295111yescharacteristic
1572C2#6295111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42782C2semidirect
2. #42780C2semidirect
3. #42748C2semidirect
4. #42744C2semidirect
5. #41475C2semidirect
6. #41447C2semidirect
7. #40841C2semidirect
8. #40815C2semidirect
9. #39157C2semidirect
10. #39149C2semidirect
11. #38986C2semidirect
12. #38976C2semidirect
13. #38122C2semidirect
14. #38113C2semidirect
15. #38066C2semidirect
16. #38057C2semidirect
17. #37638C2semidirect
18. #37630C2semidirect
19. #37504C2semidirect
20. #37495C2semidirect
21. #36290C2semidirect
22. #36276C2semidirect
26. #35961C2semidirect
27. #35961C2semidirect
29. #35315C2semidirect
30. #35291C2semidirect
31. #34629C2semidirect
32. C2×#2645C2semidirect
33. #34334C2semidirect
34. #34332C2semidirect

Maximal subgroups

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

subgroupindex
#427822
#427802
#427482
#427442
#414752
#414472
#408412
#408152
#391572
#391492
#389862
#389762
#381222
#381132
#380662
#380572
#376382
#376302
#375042
#374952
#362902
#362762
#362752
#362742
#360532
#359612
#358882
#353152
#352912
#346292
C2×#26452
#343342
#343322
#341232