Finite Group Databasebeta

← #7650732

Subgroups — #7650732

Order 512.

4802 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42960C212yesmaximal, complemented
2#42938C212yesmaximal, complemented
3#42905C212yesmaximal, complemented
4#42836C212yesmaximal, complemented
5#42757C212yesmaximal, complemented
6#42697C212yesmaximal, complemented
7#42548C212yesmaximal, complemented
8#42517C212yesmaximal, complemented
9#40869C214yesmaximal, complemented
10#40814C214yesmaximal, complemented
11#40195C212yesmaximal, complemented
12#40168C212yesmaximal, complemented
13#40034C212yesmaximal, complemented
14#40034C212yesmaximal, complemented
15#39214C212yesmaximal, complemented
16#39199C212yesmaximal, complemented
17#38996C212yesmaximal, complemented
18#38982C212yesmaximal, complemented
19#38565C214yesmaximal, complemented
20#37904C214yesmaximal, complemented
21#35627C211yesmaximal, characteristic, complemented
22#35618C211yesmaximal, characteristic, complemented
23#35557C211yesmaximal, characteristic, complemented
24#35530C211yesmaximal, characteristic, complemented
25#35519C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35334C211yesmaximal, characteristic, complemented
28#35328C211yesmaximal, characteristic
29#35160C211yesmaximal, characteristic, complemented
30C2×#2571C211yesmaximal, characteristic, complemented
31#34745C211yesmaximal, characteristic, complemented
32#34744C211yesmaximal, characteristic, complemented
33#34274C211yesmaximal, characteristic, complemented
34#34267C211yesmaximal, characteristic, complemented
35#34250C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2852C2214yes—
46#2851C2212yes—
47#2851C2212yes—
48#2850C2212yes—
49#2850C2212yes—
50#2839C2214yes—
51#2837C2214yes—
52#2835C2214yes—
53#2824C2214yes—
54#2807C2214yes—
55#2798C2214yes—
56#2796C2214yes—
57#2796C2214yes—
58#2794C2214yes—
59#2792C2214yes—
60#2787C2214yes—
61#2785C2214yes—
62#2783C2214yes—
63#2782C2214yes—
64#2782C2214yes—
65#2782C2214yes—
66#2777C2214yes—
67#2773C2214yes—
68#2771C2214yes—
69#2767C2214yes—
70#2767C2214yes—
71#2750C2214yes—
72#2750C2214yes—
73#2745C2214yes—
74#2744C2214yes—
75#2739C2214yes—
76#2738C2214yes—
77#2723C2214yes—
78#2723C2214yes—
79#2718C2214yes—
80#2718C2214yes—
81#2706C2214yes—
82#2705C2214yes—
83#2696C2214yes—
84#2693C2214yes—
85#2689C2214yes—
86#2666C2214yes—
87#2663C2214yes—
88#2655C2214yes—
89#2652C2214yes—
90#2652C2214yes—
91#2650C2214yes—
92#2650C2214yes—
93#2649C2214yes—
94#2643C2214yes—
95#2643C2214yes—
96#2636C2214yes—
97#2636C2214yes—
98#2628C2212yes—
99#2628C2212yes—
100#2623C2214yes—
101#2621C2212yes—
102#2619C2212yes—
103#2596C2214yes—
104#2596C2214yes—
105#2585C2214yes—
106#2582C2212yes—
107#2581C2212yes—
108#2581C2212yes—
109#2581C2212yes—
110#2580C2212yes—
111#2580C2212yes—
112#2580C2212yes—
113#2575C2214yes—
114#2575C2214yes—
115#2571C2212yes—
116#2571C2212yes—
117#2571C2212yes—
118#2571C2212yes—
119#2571C2212yes—
120#2571C2212yes—
121#2571C2212yes—
122#2571C2212yes—
123#2571C2212yes—
124#2571C2212yes—
125#2570C2212yes—
126#2570C2212yes—
127#2564C2214yes—
128#2564C2214yes—
129#2553C2214yes—
130#2543C2214yes—
131#2543C2214yes—
132#2538C2212yes—
133#2536C2212yes—
134#2536C2212yes—
135#2535C2212yes—
136#2535C2212yes—
137#2517C2214yes—
138#2514C2212yes—
139#2513C2212yes—
140#2512C2212yes—
141#2512C2212yes—
142#2512C2212yes—
143#2511C2212yes—
144#2511C2212yes—
145#2511C2212yes—
146#2509C2212yes—
147#2509C2212yes—
148#2508C2212yes—
149#2508C2212yes—
150#2505C2214yes—
151#2505C2214yes—
152#2504C2212yes—
153#2503C2212yes—
154#2502C2212yes—
155#2501C2212yes—
156#2500C2212yes—
157#2500C2212yes—
158#2499C2212yes—
159#2499C2212yes—
160#2497C2212yes—
161#2497C2212yes—
162#2497C2212yes—
163#2496C2212yes—
164#2496C2212yes—
165#2496C2212yes—
166#2495C2212yes—
167#2494C2212yes—
168#2488C2214yes—
169#2487C2212yes—
170#2486C2212yes—
171#2485C2212yes—
172#2485C2212yes—
173#2481C2214yes—
174#2481C2214yes—
175#2481C2214yes—
176#2455C2214yes—
177#2454C2211yescharacteristic
178#2454C2211yescharacteristic
179#2453C2211yescharacteristic
180#2453C2211yescharacteristic
181#2452C2211yescharacteristic
182#2452C2211yescharacteristic
183#2451C2211yescharacteristic
184#2451C2211yescharacteristic
185#2450C2214yes—
186#2450C2212yes—
187#2450C2212yes—
188#2449C2212yes—
189#2449C2214yes—
190#2449C2214yes—
191#2449C2212yes—
192#2448C2212yes—
193#2448C2211yescharacteristic
194#2448C2211yescharacteristic
195#2447C2211yescharacteristic
196#2447C2212yes—
197#2447C2211yescharacteristic
198#2446C2211yescharacteristic
199#2446C2211yescharacteristic
200#2446C2212yes—
201#2445C2211yescharacteristic
202#2445C2212yes—
203#2445C2211yescharacteristic
204#2444C2214yes—
205#2444C2214yes—
206#2444C2214yes—
207#2444C2212yes—
208#2444C2212yes—
209#2443C2212yes—
210#2443C2214yes—
211#2443C2214yes—
212#2443C2212yes—
213#2443C2214yes—
214#2442C2212yes—
215#2441C2212yes—
216#2440C2212yes—
217#2439C2212yes—
218#2423C2212yes—
219#2423C2212yes—
220#2422C2212yes—
221#2422C2212yes—
222#2421C2212yes—
223#2421C2212yes—
224#2420C2212yes—
225#2420C2212yes—
226#2419C2214yes—
227#2396C2212yes—
228#2396C2212yes—
229#2395C2212yes—
230#2395C2212yes—
231C2×#400C2212yes—
232C2×#400C2212yes—
233#2364C2214yes—
234#2363C2212yes—
235#2363C2212yes—
236#2363C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2362C2212yes—
240#2361C2212yes—
241#2361C2212yes—
242#2361C2212yes—
243#2361C2214yes—
244#2360C2212yes—
245#2360C2212yes—
246#2360C2212yes—
247#2351C2212yes—
248Q8×C4⋊C4C2212yes—
249#2349C2212yes—
250#2349C2214yes—
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2214yes—
253#2334C2214yes—
254#2334C2214yes—
255#2325C2214yes—
256#2324C2212yes—
257#2323C2212yes—
258#2322C2214yes—
259#2318C2214yes—
260#2317C2212yes—
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2316C2211yescharacteristic
265#2316C2211yescharacteristic
266#2316C2212yes—
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×#123C2212yes—
276C4×#123C2212yes—
277C4×#121C2214yes—
278C4×#121C2212yes—
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2212yes—
288C2×#389C2212yes—
289C2×#389C2212yes—
290C2×#389C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#384C2211yescharacteristic
293C2×#382C2211yescharacteristic
294C2×#382C2211yescharacteristic
295C2×#382C2212yes—
296#2274C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302#537—28no—
303#537—28no—
304#533—44no—
305#532—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#124C2311yescharacteristic
316C2×#124C2311yescharacteristic
317C2×#123C2314yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339#520—28no—
340#520—44no—
341#520—44no—
342C4×#41—44no—
343C4×#41—44no—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2314yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2312yes—
399C22×C42C2312yes—
400C22×C42C2312yes—
401#401C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2312yes—
431#400C2312yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2312yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2312yes—
440#399C2312yes—
441#399C2312yes—
442#399C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#398C2312yes—
457#398C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2312yes—
472#397C2314yes—
473#397C2312yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2314yes—
479#397C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2312yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2312yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2312yes—
493#395C2312yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#393C2314yes—
507#393C2314yes—
508#393C2312yes—
509#393C2314yes—
510#393C2312yes—
511#392C2314yes—
512#392C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2314yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2312yes—
527#391C2312yes—
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2314yes—
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2314yes—
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2312yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#384C2314yes—
727#383C2314yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2314yes—
733#382C2314yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2314yes—
739#382C2314yes—
740#382C2312yes—
741#382C2312yes—
742#382C2314yes—
743#382C2314yes—
744#382C2312yes—
745#382C2314yes—
746#381C2314yes—
747#381C2312yes—
748#381C2314yes—
749#381C2314yes—
750#381C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41#4118yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C4⋊Q8—42no—
865C4⋊Q8—42no—
866C4⋊Q8—42no—
867#127—42no—
868#126—48no—
869#126—48no—
870#126—84no—
871#125—42no—
872#125—42no—
873#124—42no—
874#124—42no—
875#123—44no—
876#123—48no—
877#123—44no—
878#123—84no—
879#123—84no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—28no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—84no—
889#121—28no—
890#121—28no—
891#121—216no—
892#121—216no—
893#121—28no—
894#121—28no—
895#121—44no—
896#121—44no—
897C4×Q8—28no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—42no—
901C4×Q8—42no—
902C4×Q8—42no—
903C4×Q8—42no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×D4—28no—
907C4×D4—216no—
908C4×D4—48no—
909C4×D4—42no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—48no—
922C4×D4—48no—
923C4×D4—84no—
924#117—28no—
925#117—24no—
926#117—24no—
927#117—24no—
928#117—24no—
929#117—24no—
930#117—44no—
931#117—44no—
932#117—44no—
933#117—44no—
934C2×C4⋊C4—28no—
935C2×C4⋊C4—24no—
936C2×C4⋊C4—24no—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—24no—
939C2×C4⋊C4—42no—
940C2×C4⋊C4—42no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—84no—
945C2×C4⋊C4—82no—
946C2×C4⋊C4—82no—
947C2×C4⋊C4—82no—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C42—24no—
1072C2×C42—24no—
1073C2×C42—24no—
1074C2×C42—44no—
1075C2×C42—44no—
1076C2×C42—44no—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2414yes—
1113#95C2414yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181C24C2512yes—
1182C24C2512yes—
1183C24C2512yes—
1184C24C2511yescharacteristic
1185#41—232no—
1186#41—416no—
1187#41—416no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8C2×#4114yes—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—28no—
1212C2×D4—28no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—42no—
1231C2×D4C2×#4118yes—
1232C2×D4C2×#4114yes—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—28no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—41no—
1272C22×C4—42no—
1273C22×C4—41no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—41no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—41no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4C2×#4118yes—
1293C22×C4C2×#4114yes—
1294C22×C4H(5,𝔽2)14yes—
1295C22×C42−1+414yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2514yes—
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—28no—
1337C4⋊C4—28no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—28no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—44no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C42—28no—
1451C42—24no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—24no—
1461C42—24no—
1462C42—24no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—28no—
1469C42—44no—
1470C42—42no—
1471C42—42no—
1472C42—42no—
1473C42—42no—
1474C42—44no—
1475C42—44no—
1476C42—44no—
1477C42—44no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23C22×#4114yes—
1503C23C22×#4112yes—
1504C23C2×H(5,𝔽2)12yes—
1505C23C2×2−1+412yes—
1506C23C2611yescharacteristic
1507Q8—28no—
1508Q8—44no—
1509Q8—44no—
1510Q8—84no—
1511Q8—84no—
1512D4—216no—
1513D4—28no—
1514D4—48no—
1515D4—48no—
1516D4—44no—
1517D4—44no—
1518D4—88no—
1519D4—88no—
1520D4—84no—
1521D4—84no—
1522C2×C4—28no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—216no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—44no—
1609C2×C4—48no—
1610C2×C4—48no—
1611C2×C4—84no—
1612C2×C4—84no—
1613C2×C4—88no—
1614C2×C4—84no—
1615C2×C4—82no—
1616C2×C4—82no—
1617C2×C4—84no—
1618C2×C4—82no—
1619C2×C4—82no—
1620C2×C4—84no—
1621C2×C4—84no—
1622C2×C4—84no—
1623C2×C4—84no—
1624C2×C4—164no—
1625C2×C4—164no—
1626C2×C4#539116yes—
1627C2×C4C22×#4114yes—
1628C2×C4C22×#4112yes—
1629C2×C4C22×#4112yes—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×2−1+412yes—
1633C2×C4C2×2−1+412yes—
1634C2×C4#58512yes—
1635C2×C4#58512yes—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—24no—
1643C22—24no—
1644C22—24no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22C2×#53914yes—
1664C22C23×#4111yescharacteristic
1665C22C22×H(5,𝔽2)11yescharacteristic
1666C22C22×2−1+411yescharacteristic
1667C22C2×#58511yescharacteristic
1668C22C2×#58511yescharacteristic
1669C22H(7,𝔽2)11yescharacteristic
1670C222−1+611yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—24no—
1674C4—42no—
1675C4—44no—
1676C4—42no—
1677C4—44no—
1678C4—44no—
1679C4—42no—
1680C4—42no—
1681C4—41no—
1682C4—41no—
1683C4—42no—
1684C4—42no—
1685C4—41no—
1686C4—41no—
1687C4—42no—
1688C4—44no—
1689C4—41no—
1690C4—42no—
1691C4—41no—
1692C4—42no—
1693C4—42no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—42no—
1698C4—41no—
1699C4—42no—
1700C4C2×#53914yes—
1701C4C2×#53914yes—
1702C2—24no—
1703C2—44no—
1704C2—82no—
1705C2—82no—
1706C2C22×#53911yescharacteristic
1707C2#6282511yescharacteristic
1708C2#6287711yescharacteristic
1709C2#6293011yescharacteristic
1710C2#6296011yescharacteristic
1711C2#6299511yescharacteristic
1712C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35328C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42960C2semidirect
2. #42938C2semidirect
3. #42905C2semidirect
4. #42836C2semidirect
5. #42757C2semidirect
6. #42697C2semidirect
7. #42548C2semidirect
8. #42517C2semidirect
9. #40869C2semidirect
10. #40814C2semidirect
11. #40195C2semidirect
12. #40168C2semidirect
13. #40034C2semidirect
14. #40034C2semidirect
15. #39214C2semidirect
16. #39199C2semidirect
17. #38996C2semidirect
18. #38982C2semidirect
19. #38565C2semidirect
20. #37904C2semidirect
21. #35627C2semidirect
22. #35618C2semidirect
23. #35557C2semidirect
24. #35530C2semidirect
25. #35519C2semidirect
26. #35517C2semidirect
27. #35334C2semidirect
29. #35160C2semidirect
30. C2×#2571C2semidirect
31. #34745C2semidirect
32. #34744C2semidirect
33. #34274C2semidirect
34. #34267C2semidirect
35. #34250C2semidirect

Maximal subgroups

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

subgroupindex
#429602
#429382
#429052
#428362
#427572
#426972
#425482
#425172
#408692
#408142
#401952
#401682
#400342
#392142
#391992
#389962
#389822
#385652
#379042
#356272
#356182
#355572
#355302
#355192
#355172
#353342
#353282
#351602
C2×#25712
#347452
#347442
#342742
#342672
#342502