Finite Group Databasebeta

← #7650731

Subgroups — #7650731

Order 512.

4786 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42946C212yesmaximal, complemented
2#42921C212yesmaximal, complemented
3#42901C212yesmaximal, complemented
4#42863C212yesmaximal, complemented
5#42739C212yesmaximal, complemented
6#42656C212yesmaximal, complemented
7#42609C212yesmaximal, complemented
8#42464C212yesmaximal, complemented
9#41492C214yesmaximal, complemented
10#41446C214yesmaximal, complemented
11#40123C212yesmaximal, complemented
12#40072C212yesmaximal, complemented
13#39938C212yesmaximal, complemented
14#39914C212yesmaximal, complemented
15#39226C212yesmaximal, complemented
16#39155C212yesmaximal, complemented
17#39008C212yesmaximal, complemented
18#38939C212yesmaximal, complemented
19#38597C214yesmaximal, complemented
20#37904C214yesmaximal, complemented
21#35620C211yesmaximal, characteristic, complemented
22#35618C211yesmaximal, characteristic, complemented
23#35575C211yesmaximal, characteristic, complemented
24#35564C211yesmaximal, characteristic
25#35532C211yesmaximal, characteristic, complemented
26#35530C211yesmaximal, characteristic, complemented
27#35265C211yesmaximal, characteristic, complemented
28#35255C211yesmaximal, characteristic, complemented
29#35160C211yesmaximal, characteristic, complemented
30C2×#2571C211yesmaximal, characteristic, complemented
31#34816C211yesmaximal, characteristic, complemented
32#34744C211yesmaximal, characteristic, complemented
33#34274C211yesmaximal, characteristic, complemented
34#34208C211yesmaximal, characteristic, complemented
35#34184C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2864C2212yes—
46#2859C2212yes—
47#2855C2212yes—
48#2854C2212yes—
49#2852C2214yes—
50#2839C2214yes—
51#2838C2214yes—
52#2827C2214yes—
53#2826C2214yes—
54#2810C2214yes—
55#2802C2214yes—
56#2796C2214yes—
57#2789C2214yes—
58#2785C2214yes—
59#2783C2214yes—
60#2783C2214yes—
61#2783C2214yes—
62#2782C2214yes—
63#2781C2214yes—
64#2775C2214yes—
65#2775C2214yes—
66#2773C2214yes—
67#2771C2214yes—
68#2770C2214yes—
69#2767C2214yes—
70#2746C2214yes—
71#2746C2214yes—
72#2744C2214yes—
73#2744C2214yes—
74#2743C2214yes—
75#2738C2214yes—
76#2728C2214yes—
77#2727C2214yes—
78#2723C2214yes—
79#2708C2214yes—
80#2706C2214yes—
81#2695C2214yes—
82#2694C2214yes—
83#2693C2214yes—
84#2690C2214yes—
85#2681C2214yes—
86#2667C2214yes—
87#2666C2214yes—
88#2663C2214yes—
89#2655C2214yes—
90#2654C2214yes—
91#2652C2214yes—
92#2652C2214yes—
93#2649C2214yes—
94#2649C2214yes—
95#2647C2212yes—
96#2647C2212yes—
97#2643C2214yes—
98#2643C2214yes—
99#2639C2214yes—
100#2636C2214yes—
101#2625C2212yes—
102#2624C2212yes—
103#2590C2214yes—
104#2577C2214yes—
105#2575C2214yes—
106#2571C2212yes—
107#2571C2212yes—
108#2571C2212yes—
109#2571C2212yes—
110#2571C2212yes—
111#2571C2212yes—
112#2571C2212yes—
113#2571C2212yes—
114#2568C2212yes—
115#2567C2212yes—
116#2566C2212yes—
117#2566C2212yes—
118#2565C2212yes—
119#2565C2212yes—
120#2564C2214yes—
121#2563C2212yes—
122#2558C2214yes—
123#2556C2214yes—
124#2553C2214yes—
125#2543C2214yes—
126#2542C2212yes—
127#2517C2214yes—
128#2514C2211yescharacteristic
129#2514C2211yescharacteristic
130#2514C2212yes—
131#2513C2211yescharacteristic
132#2513C2211yescharacteristic
133#2513C2212yes—
134#2512C2211yescharacteristic
135#2512C2211yescharacteristic
136#2512C2212yes—
137#2511C2211yescharacteristic
138#2511C2211yescharacteristic
139#2511C2212yes—
140#2510C2212yes—
141#2510C2212yes—
142#2509C2212yes—
143#2508C2212yes—
144#2507C2212yes—
145#2506C2212yes—
146#2505C2214yes—
147#2504C2212yes—
148#2503C2212yes—
149#2502C2212yes—
150#2501C2212yes—
151#2500C2212yes—
152#2500C2212yes—
153#2499C2212yes—
154#2499C2212yes—
155#2497C2212yes—
156#2496C2212yes—
157#2495C2212yes—
158#2494C2212yes—
159#2493C2214yes—
160#2488C2214yes—
161#2488C2214yes—
162#2481C2212yes—
163#2481C2212yes—
164#2473C2214yes—
165#2466C2214yes—
166#2454C2212yes—
167#2453C2212yes—
168#2452C2212yes—
169#2451C2212yes—
170#2450C2214yes—
171#2450C2214yes—
172#2449C2214yes—
173#2449C2214yes—
174#2448C2211yescharacteristic
175#2448C2211yescharacteristic
176#2447C2211yescharacteristic
177#2447C2211yescharacteristic
178#2446C2211yescharacteristic
179#2446C2211yescharacteristic
180#2445C2211yescharacteristic
181#2445C2211yescharacteristic
182#2444C2214yes—
183#2444C2214yes—
184#2444C2212yes—
185#2444C2214yes—
186#2444C2212yes—
187#2443C2212yes—
188#2443C2214yes—
189#2443C2214yes—
190#2443C2214yes—
191#2443C2212yes—
192#2442C2212yes—
193#2442C2212yes—
194#2442C2212yes—
195#2441C2212yes—
196#2441C2212yes—
197#2441C2212yes—
198#2440C2212yes—
199#2440C2212yes—
200#2440C2212yes—
201#2439C2212yes—
202#2439C2212yes—
203#2439C2212yes—
204#2429C2212yes—
205#2428C2212yes—
206#2427C2212yes—
207#2426C2212yes—
208#2425C2214yes—
209#2423C2212yes—
210#2423C2212yes—
211#2423C2212yes—
212#2422C2212yes—
213#2422C2212yes—
214#2422C2212yes—
215#2421C2212yes—
216#2421C2212yes—
217#2421C2212yes—
218#2420C2212yes—
219#2420C2212yes—
220#2420C2212yes—
221#2417C2212yes—
222#2417C2214yes—
223#2416C2214yes—
224#2416C2212yes—
225#2415C2212yes—
226#2414C2212yes—
227#2401C2212yes—
228#2401C2212yes—
229#2395C2212yes—
230#2395C2212yes—
231C2×#400C2212yes—
232C2×#400C2212yes—
233#2364C2214yes—
234#2364C2214yes—
235#2363C2212yes—
236#2363C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2360C2212yes—
242#2360C2212yes—
243#2352C2212yes—
244#2352C2212yes—
245#2352C2212yes—
246#2352C2212yes—
247#2351C2212yes—
248#2351C2212yes—
249#2349C2214yes—
250#2349C2212yes—
251#2349C2212yes—
252#2349C2214yes—
253#2335C2214yes—
254#2334C2214yes—
255#2329C2214yes—
256#2328C2212yes—
257#2327C2212yes—
258#2325C2214yes—
259#2318C2214yes—
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2212yes—
264#2317C2212yes—
265#2317C2211yescharacteristic
266#2316C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271C4×#126C2212yes—
272C4×#126C2212yes—
273C4×#124C2212yes—
274C4×#124C2212yes—
275C4×#123C2212yes—
276C4×#123C2212yes—
277C4×#121C2214yes—
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#389C2212yes—
289#2285C2211yescharacteristic
290#2285C2212yes—
291C2×#384C2211yescharacteristic
292C2×#382C2212yes—
293C2×#382C2212yes—
294C2×#382C2211yescharacteristic
295C2×#382C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302#544—44no—
303#537—28no—
304#537—44no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2311yescharacteristic
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#124C2311yescharacteristic
317C2×#124C2311yescharacteristic
318C2×#123C2314yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×#121C2314yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340#520—44no—
341#520—44no—
342#520—44no—
343#520—44no—
344C4×#41—28no—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C42C2312yes—
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395#401C2314yes—
396#401C2312yes—
397#401C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2312yes—
434#399C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2312yes—
472#397C2314yes—
473#397C2312yes—
474#397C2314yes—
475#397C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#392C2314yes—
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2314yes—
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2314yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2312yes—
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#388C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
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#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
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#385C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#383C2312yes—
716#383C2312yes—
717#383C2314yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2314yes—
724#382C2314yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2314yes—
729#382C2312yes—
730#382C2312yes—
731#382C2314yes—
732#382C2312yes—
733#382C2312yes—
734#382C2314yes—
735#382C2314yes—
736#382C2314yes—
737#382C2311yescharacteristic
738#382C2311yescharacteristic
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#381C2312yes—
743#381C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807C2×#95C2312yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C43C2312yes—
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×Q8C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2411yescharacteristic
862C4⋊Q8—24no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865#127—24no—
866#126—48no—
867#126—44no—
868#126—44no—
869#125—44no—
870#125—44no—
871#125—84no—
872#124—24no—
873#124—24no—
874#123—44no—
875#123—44no—
876#123—48no—
877#123—84no—
878#123—84no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—84no—
886C22⋊Q8—84no—
887#121—28no—
888#121—28no—
889#121—28no—
890#121—216no—
891#121—28no—
892#121—44no—
893#121—44no—
894#121—48no—
895#121—84no—
896C4×Q8—24no—
897C4×Q8—24no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—48no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—48no—
914C4×D4—48no—
915C4×D4—48no—
916C4×D4—48no—
917#117—28no—
918#117—24no—
919#117—24no—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—44no—
924#117—44no—
925#117—44no—
926#117—44no—
927C2×C4⋊C4—24no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—24no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4—42no—
933C2×C4⋊C4—42no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—82no—
939C2×C4⋊C4—82no—
940C2×C4⋊C4—82no—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C42—28no—
1062C2×C42—24no—
1063C2×C42—24no—
1064C2×C42—24no—
1065C2×C42—44no—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2414yes—
1104#95C2414yes—
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
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#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175C24C2512yes—
1176C24C2512yes—
1177C24C2512yes—
1178C24C2511yescharacteristic
1179#41—232no—
1180#41—416no—
1181#41—416no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8C2×#4114yes—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—28no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4C2×#4118yes—
1223C2×D4C2×#4114yes—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—41no—
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—42no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4C2×#4118yes—
1281C22×C4C2×#4114yes—
1282C22×C4H(5,𝔽2)14yes—
1283C22×C42−1+414yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2514yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2514yes—
1306C22×C4C2514yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—28no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
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—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C42—22no—
1436C42—24no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—24no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—24no—
1447C42—24no—
1448C42—24no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—24no—
1454C42—28no—
1455C42—44no—
1456C42—42no—
1457C42—44no—
1458C42—44no—
1459C42—44no—
1460C42—44no—
1461C42—42no—
1462C42—42no—
1463C42—42no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23C22×#4114yes—
1489C23C22×#4112yes—
1490C23C2×H(5,𝔽2)12yes—
1491C23C2×2−1+412yes—
1492C23C2611yescharacteristic
1493Q8—28no—
1494Q8—44no—
1495Q8—44no—
1496Q8—164no—
1497D4—216no—
1498D4—28no—
1499D4—48no—
1500D4—48no—
1501D4—44no—
1502D4—44no—
1503D4—88no—
1504D4—84no—
1505D4—84no—
1506D4—164no—
1507C2×C4—28no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—216no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—44no—
1594C2×C4—48no—
1595C2×C4—48no—
1596C2×C4—82no—
1597C2×C4—84no—
1598C2×C4—82no—
1599C2×C4—84no—
1600C2×C4—82no—
1601C2×C4—84no—
1602C2×C4—82no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—164no—
1607C2×C4—164no—
1608C2×C4—164no—
1609C2×C4—164no—
1610C2×C4#539116yes—
1611C2×C4C22×#4114yes—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4112yes—
1614C2×C4C2×H(5,𝔽2)12yes—
1615C2×C4C2×H(5,𝔽2)12yes—
1616C2×C4C2×2−1+412yes—
1617C2×C4C2×2−1+412yes—
1618C2×C4#58512yes—
1619C2×C4#58512yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—24no—
1627C22—24no—
1628C22—24no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22C2×#53914yes—
1648C22C23×#4111yescharacteristic
1649C22C22×H(5,𝔽2)11yescharacteristic
1650C22C22×2−1+411yescharacteristic
1651C22C2×#58511yescharacteristic
1652C22C2×#58511yescharacteristic
1653C22H(7,𝔽2)11yescharacteristic
1654C222−1+611yescharacteristic
1655C4—22no—
1656C4—22no—
1657C4—24no—
1658C4—41no—
1659C4—42no—
1660C4—41no—
1661C4—41no—
1662C4—44no—
1663C4—41no—
1664C4—41no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—41no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—44no—
1677C4—42no—
1678C4—42no—
1679C4—44no—
1680C4—44no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4C2×#53914yes—
1685C4C2×#53914yes—
1686C2—24no—
1687C2—44no—
1688C2—82no—
1689C2—82no—
1690C2C22×#53911yescharacteristic
1691C2#6282511yescharacteristic
1692C2#6287711yescharacteristic
1693C2#6293111yescharacteristic
1694C2#6296111yescharacteristic
1695C2#6299411yescharacteristic
1696C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35564C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42946C2semidirect
2. #42921C2semidirect
3. #42901C2semidirect
4. #42863C2semidirect
5. #42739C2semidirect
6. #42656C2semidirect
7. #42609C2semidirect
8. #42464C2semidirect
9. #41492C2semidirect
10. #41446C2semidirect
11. #40123C2semidirect
12. #40072C2semidirect
13. #39938C2semidirect
14. #39914C2semidirect
15. #39226C2semidirect
16. #39155C2semidirect
17. #39008C2semidirect
18. #38939C2semidirect
19. #38597C2semidirect
20. #37904C2semidirect
21. #35620C2semidirect
22. #35618C2semidirect
23. #35575C2semidirect
25. #35532C2semidirect
26. #35530C2semidirect
27. #35265C2semidirect
28. #35255C2semidirect
29. #35160C2semidirect
30. C2×#2571C2semidirect
31. #34816C2semidirect
32. #34744C2semidirect
33. #34274C2semidirect
34. #34208C2semidirect
35. #34184C2semidirect

Maximal subgroups

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

subgroupindex
#429462
#429212
#429012
#428632
#427392
#426562
#426092
#424642
#414922
#414462
#401232
#400722
#399382
#399142
#392262
#391552
#390082
#389392
#385972
#379042
#356202
#356182
#355752
#355642
#355322
#355302
#352652
#352552
#351602
C2×#25712
#348162
#347442
#342742
#342082
#341842