Finite Group Databasebeta

← #7652103

Subgroups — #7652103

Order 512.

4720 conjugacy classes of subgroups.

The subgroup lattice has 1665 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42939C212yesmaximal, complemented
2#42938C212yesmaximal, complemented
3#42863C212yesmaximal, complemented
4#42854C212yesmaximal, complemented
5#42697C212yesmaximal, complemented
6#42622C212yesmaximal, complemented
7#42543C212yesmaximal, complemented
8#42516C212yesmaximal, complemented
9#41450C214yesmaximal, complemented
10#40763C214yesmaximal, complemented
11#40072C212yesmaximal, complemented
12#40048C212yesmaximal, complemented
13#40034C212yesmaximal, complemented
14#40028C212yesmaximal, complemented
15#39791C212yesmaximal, complemented
16#39662C212yesmaximal, complemented
17#39639C212yesmaximal, complemented
18#39199C212yesmaximal, complemented
19#38609C214yesmaximal, complemented
20#38536C214yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35662C211yesmaximal, characteristic, complemented
23#35619C211yesmaximal, characteristic, complemented
24#35619C211yesmaximal, characteristic, complemented
25#35530C211yesmaximal, characteristic
26#35519C211yesmaximal, characteristic, complemented
27#35308C211yesmaximal, characteristic
28#35286C211yesmaximal, characteristic, complemented
29#35181C211yesmaximal, characteristic, complemented
30#34947C211yesmaximal, characteristic, complemented
31#34816C211yesmaximal, characteristic, complemented
32C2×#2511C211yesmaximal, characteristic, complemented
33#34276C211yesmaximal, characteristic, complemented
34#34274C211yesmaximal, characteristic
35#34250C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#519C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2859C2212yes—
46#2859C2212yes—
47#2857C2212yes—
48#2851C2214yes—
49#2850C2212yes—
50#2839C2214yes—
51#2836C2214yes—
52#2835C2214yes—
53#2827C2214yes—
54#2809C2214yes—
55#2807C2214yes—
56#2802C2214yes—
57#2802C2214yes—
58#2798C2214yes—
59#2796C2214yes—
60#2794C2214yes—
61#2793C2214yes—
62#2792C2214yes—
63#2787C2214yes—
64#2783C2214yes—
65#2782C2214yes—
66#2773C2214yes—
67#2771C2214yes—
68#2770C2214yes—
69#2767C2214yes—
70#2767C2214yes—
71#2750C2214yes—
72#2747C2214yes—
73#2745C2214yes—
74#2744C2214yes—
75#2744C2214yes—
76#2739C2214yes—
77#2738C2214yes—
78#2726C2214yes—
79#2723C2214yes—
80#2720C2214yes—
81#2707C2214yes—
82#2695C2214yes—
83#2694C2214yes—
84#2690C2214yes—
85#2687C2214yes—
86#2667C2214yes—
87#2666C2214yes—
88#2664C2214yes—
89#2655C2214yes—
90#2655C2214yes—
91#2652C2214yes—
92#2652C2214yes—
93#2650C2214yes—
94#2649C2214yes—
95#2647C2212yes—
96#2647C2212yes—
97#2646C2214yes—
98#2646C2214yes—
99#2638C2214yes—
100#2623C2214yes—
101#2621C2212yes—
102#2620C2212yes—
103#2596C2214yes—
104#2590C2214yes—
105#2588C2214yes—
106#2585C2214yes—
107#2582C2212yes—
108#2582C2212yes—
109#2582C2212yes—
110#2581C2212yes—
111#2581C2212yes—
112#2581C2212yes—
113#2580C2212yes—
114#2575C2214yes—
115#2571C2212yes—
116#2571C2212yes—
117#2571C2212yes—
118#2571C2212yes—
119#2570C2212yes—
120#2570C2212yes—
121#2570C2212yes—
122#2570C2212yes—
123#2568C2211yescharacteristic
124#2567C2211yescharacteristic
125#2566C2211yescharacteristic
126#2566C2211yescharacteristic
127#2565C2211yescharacteristic
128#2565C2211yescharacteristic
129#2564C2212yes—
130#2564C2212yes—
131#2563C2211yescharacteristic
132#2556C2214yes—
133#2552C2212yes—
134#2552C2212yes—
135#2552C2212yes—
136#2552C2212yes—
137#2542C2211yescharacteristic
138#2538C2212yes—
139#2517C2214yes—
140#2514C2211yescharacteristic
141#2514C2211yescharacteristic
142#2513C2211yescharacteristic
143#2513C2211yescharacteristic
144#2512C2211yescharacteristic
145#2512C2211yescharacteristic
146#2511C2211yescharacteristic
147#2511C2211yescharacteristic
148#2511C2212yes—
149#2511C2212yes—
150#2511C2212yes—
151#2511C2212yes—
152#2511C2212yes—
153#2511C2212yes—
154#2511C2212yes—
155#2511C2212yes—
156#2510C2212yes—
157#2510C2212yes—
158#2503C2212yes—
159#2503C2212yes—
160#2502C2212yes—
161#2502C2212yes—
162#2502C2212yes—
163#2501C2212yes—
164#2500C2212yes—
165#2499C2212yes—
166#2499C2212yes—
167#2499C2212yes—
168#2499C2212yes—
169#2499C2212yes—
170#2498C2214yes—
171#2498C2214yes—
172#2488C2214yes—
173#2481C2212yes—
174#2481C2212yes—
175#2473C2214yes—
176#2473C2214yes—
177#2460C2214yes—
178#2453C2212yes—
179#2453C2212yes—
180#2451C2212yes—
181#2451C2212yes—
182#2450C2214yes—
183#2449C2214yes—
184#2448C2212yes—
185#2448C2212yes—
186#2447C2212yes—
187#2447C2212yes—
188#2447C2212yes—
189#2447C2212yes—
190#2446C2212yes—
191#2446C2212yes—
192#2446C2212yes—
193#2446C2212yes—
194#2446C2212yes—
195#2446C2212yes—
196#2443C2214yes—
197#2443C2214yes—
198#2442C2214yes—
199#2442C2212yes—
200#2442C2214yes—
201#2441C2212yes—
202#2440C2212yes—
203#2439C2212yes—
204#2438C2214yes—
205#2438C2214yes—
206#2429C2212yes—
207#2429C2212yes—
208#2427C2212yes—
209#2427C2212yes—
210#2425C2214yes—
211#2425C2214yes—
212#2423C2212yes—
213#2423C2212yes—
214#2423C2212yes—
215#2423C2212yes—
216#2422C2212yes—
217#2422C2212yes—
218#2421C2212yes—
219#2421C2212yes—
220#2419C2214yes—
221#2419C2214yes—
222#2419C2214yes—
223#2419C2214yes—
224#2419C2214yes—
225#2417C2212yes—
226#2417C2212yes—
227#2401C2212yes—
228#2401C2212yes—
229#2396C2212yes—
230#2396C2212yes—
231C2×#400C2212yes—
232C2×#400C2212yes—
233#2363C2212yes—
234#2363C2212yes—
235#2362C2212yes—
236#2362C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2360C2212yes—
242#2360C2212yes—
243#2360C2212yes—
244#2360C2212yes—
245#2359C2214yes—
246#2359C2214yes—
247#2351C2212yes—
248Q8×C4⋊C4C2212yes—
249#2349C2212yes—
250#2349C2214yes—
251D4×C4⋊C4C2214yes—
252D4×C4⋊C4C2212yes—
253#2336C2214yes—
254#2334C2214yes—
255#2329C2214yes—
256#2327C2212yes—
257#2326C2212yes—
258#2325C2214yes—
259#2322C2214yes—
260#2317C2212yes—
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2316C2211yescharacteristic
267#2316C2211yescharacteristic
268#2316C2212yes—
269#2311C2211yescharacteristic
270#2310C2211yescharacteristic
271C4×C4⋊Q8C2212yes—
272C4×#126C2212yes—
273C4×#126C2212yes—
274C4×#124C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#121C2214yes—
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2212yes—
285C2×#391C2211yescharacteristic
286C2×#391C2211yescharacteristic
287C2×#391C2211yescharacteristic
288C2×#389C2212yes—
289C2×#389C2211yescharacteristic
290C2×#387C2212yes—
291C2×#387C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295C2×#384C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302#537—28no—
303#536—28no—
304#536—44no—
305#533—44no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2311yescharacteristic
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337#520—28no—
338#520—44no—
339#520—44no—
340#519—44no—
341C4×#41—44no—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2314yes—
374C2×#117C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2314yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2312yes—
391C22×C42C2312yes—
392#401C2312yes—
393#401C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#399C2312yes—
428#399C2312yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2314yes—
482#396C2312yes—
483#396C2312yes—
484#396C2312yes—
485#396C2312yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2312yes—
492#395C2312yes—
493#395C2312yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#393C2312yes—
502#393C2312yes—
503#393C2314yes—
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#391C2312yes—
535#391C2312yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2314yes—
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2314yes—
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#384C2312yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2312yes—
717#384C2312yes—
718#384C2314yes—
719#384C2312yes—
720#384C2312yes—
721#384C2311yescharacteristic
722#383C2312yes—
723#383C2312yes—
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#382C2311yescharacteristic
727#382C2311yescharacteristic
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#382C2314yes—
736#382C2314yes—
737#382C2314yes—
738#382C2314yes—
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#381C2314yes—
743#381C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807C2×#95C2311yescharacteristic
808C2×#95C2311yescharacteristic
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C43C2312yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41#4118yes—
825C22×Q8—24no—
826C22×Q8—24no—
827C22×Q8—24no—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2414yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2411yescharacteristic
857C4⋊Q8—28no—
858C4⋊Q8—42no—
859C4⋊Q8—42no—
860C4⋊Q8—44no—
861#126—28no—
862#126—44no—
863#125—48no—
864#125—42no—
865#125—42no—
866#125—84no—
867#125—84no—
868#124—28no—
869#124—44no—
870#123—216no—
871#123—48no—
872#123—48no—
873#123—84no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—84no—
885#121—28no—
886#121—216no—
887#121—28no—
888C4×Q8—28no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—42no—
892C4×Q8—42no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×D4—216no—
900C4×D4—28no—
901C4×D4—42no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—48no—
908C4×D4—48no—
909C4×D4—84no—
910#117—28no—
911#117—24no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—44no—
918#117—48no—
919#117—44no—
920#117—44no—
921C2×C4⋊C4—28no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—42no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—82no—
931C2×C4⋊C4—84no—
932C2×C4⋊C4—82no—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C42—24no—
1053C2×C42—24no—
1054C2×C42—24no—
1055C2×C42—44no—
1056C2×C42—82no—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2414yes—
1098#95C2414yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24C2512yes—
1173C24C2512yes—
1174C24C2511yescharacteristic
1175#41—232no—
1176#41—416no—
1177C2×Q8—24no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—416no—
1195C2×Q8C2×#4114yes—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4C2×#4118yes—
1210C2×D4C2×#4114yes—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—28no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4C2×#4118yes—
1262C22×C4C2×#4114yes—
1263C22×C4H(5,𝔽2)14yes—
1264C22×C42−1+414yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—28no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C42−1+414yes—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C42—28no—
1417C42—24no—
1418C42—24no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—24no—
1437C42—42no—
1438C42—42no—
1439C42—44no—
1440C42—44no—
1441C42—42no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—44no—
1446C42—42no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23C22×#4114yes—
1465C23C22×#4112yes—
1466C23C2×H(5,𝔽2)12yes—
1467C23C2×2−1+412yes—
1468C23C2611yescharacteristic
1469Q8—28no—
1470Q8—48no—
1471Q8—48no—
1472Q8—44no—
1473Q8—84no—
1474Q8—84no—
1475D4—216no—
1476D4—28no—
1477D4—48no—
1478D4—44no—
1479D4—88no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—216no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—48no—
1571C2×C4—48no—
1572C2×C4—84no—
1573C2×C4—84no—
1574C2×C4—88no—
1575C2×C4—84no—
1576C2×C4—82no—
1577C2×C4—84no—
1578C2×C4—82no—
1579C2×C4—84no—
1580C2×C4—164no—
1581C2×C4—164no—
1582C2×C4#539116yes—
1583C2×C4C22×#4114yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4C2×H(5,𝔽2)12yes—
1587C2×C4C2×H(5,𝔽2)12yes—
1588C2×C4C2×2−1+412yes—
1589C2×C4C2×2−1+412yes—
1590C2×C4C2×2−1+412yes—
1591C2×C4C2×2−1+412yes—
1592C2×C4C2×2−1+412yes—
1593C2×C4#58512yes—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—24no—
1601C22—24no—
1602C22—24no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22C2×#53914yes—
1615C22C23×#4111yescharacteristic
1616C22C22×H(5,𝔽2)11yescharacteristic
1617C22C22×2−1+411yescharacteristic
1618C22C22×2−1+411yescharacteristic
1619C22C2×#58511yescharacteristic
1620C22H(7,𝔽2)11yescharacteristic
1621C222−1+611yescharacteristic
1622C4—22no—
1623C4—24no—
1624C4—22no—
1625C4—22no—
1626C4—22no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—44no—
1632C4—44no—
1633C4—42no—
1634C4—41no—
1635C4—42no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—41no—
1640C4—44no—
1641C4—41no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—44no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4C2×#53914yes—
1653C4C2×#53914yes—
1654C2—24no—
1655C2—44no—
1656C2—82no—
1657C2C22×#53911yescharacteristic
1658C2#6283511yescharacteristic
1659C2#6287811yescharacteristic
1660C2#6292811yescharacteristic
1661C2#6294511yescharacteristic
1662C2#6300111yescharacteristic
1663C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42939C2semidirect
2. #42938C2semidirect
3. #42863C2semidirect
4. #42854C2semidirect
5. #42697C2semidirect
6. #42622C2semidirect
7. #42543C2semidirect
8. #42516C2semidirect
9. #41450C2semidirect
10. #40763C2semidirect
11. #40072C2semidirect
12. #40048C2semidirect
13. #40034C2semidirect
14. #40028C2semidirect
15. #39791C2semidirect
16. #39662C2semidirect
17. #39639C2semidirect
18. #39199C2semidirect
19. #38609C2semidirect
20. #38536C2semidirect
21. #35673C2semidirect
22. #35662C2semidirect
23. #35619C2semidirect
24. #35619C2semidirect
26. #35519C2semidirect
28. #35286C2semidirect
29. #35181C2semidirect
30. #34947C2semidirect
31. #34816C2semidirect
32. C2×#2511C2semidirect
33. #34276C2semidirect
35. #34250C2semidirect

Maximal subgroups

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

subgroupindex
#429392
#429382
#428632
#428542
#426972
#426222
#425432
#425162
#414502
#407632
#400722
#400482
#400342
#400282
#397912
#396622
#396392
#391992
#386092
#385362
#356732
#356622
#356192
#355302
#355192
#353082
#352862
#351812
#349472
#348162
C2×#25112
#342762
#342742
#342502