Finite Group Databasebeta

← #7647099

Subgroups — #7647099

Order 512.

4563 conjugacy classes of subgroups.

The subgroup lattice has 1623 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42776C212yesmaximal, complemented
2#42772C212yesmaximal, complemented
3#42715C212yesmaximal, complemented
4#42706C212yesmaximal, complemented
5#41905C214yesmaximal, complemented
6#41847C214yesmaximal, complemented
7#39641C211yesmaximal, characteristic, complemented
8#39606C211yesmaximal, characteristic, complemented
9#39546C212yesmaximal, complemented
10#39488C211yesmaximal, characteristic, complemented
11#39478C211yesmaximal, characteristic, complemented
12#39083C212yesmaximal, complemented
13#38977C211yesmaximal, characteristic, complemented
14#38966C211yesmaximal, characteristic, complemented
15#38923C211yesmaximal, characteristic, complemented
16#38920C211yesmaximal, characteristic
17#38261C212yesmaximal, complemented
18#38213C212yesmaximal, complemented
19#37524C212yesmaximal, complemented
20#37504C212yesmaximal, complemented
21#37075C214yesmaximal, complemented
22#37063C214yesmaximal, complemented
23#35625C212yesmaximal, complemented
24#35622C212yesmaximal, complemented
25#35319C211yesmaximal, characteristic, complemented
26#35265C212yesmaximal, complemented
27#35209C212yesmaximal, complemented
28#35209C211yesmaximal, characteristic, complemented
29#35204C212yesmaximal, complemented
30#35161C212yesmaximal, complemented
31#34951C211yesmaximal, characteristic, complemented
32#34915C211yesmaximal, characteristic, complemented
33#34308C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#541C2212yes—
39C2×#541C2212yes—
40C2×#529C2211yescharacteristic
41C2×#520C2212yes—
42#2868C2211yescharacteristic
43#2865C2214yes—
44#2864C2214yes—
45#2860C2212yes—
46#2860C2214yes—
47#2859C2211yescharacteristic
48#2859C2212yes—
49#2859C2214yes—
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2839C2214yes—
53#2836C2214yes—
54#2827C2214yes—
55#2827C2214yes—
56#2797C2214yes—
57#2791C2214yes—
58#2791C2214yes—
59#2791C2214yes—
60#2790C2214yes—
61#2790C2214yes—
62#2781C2214yes—
63#2779C2214yes—
64#2777C2214yes—
65#2771C2214yes—
66#2770C2214yes—
67#2768C2214yes—
68#2768C2214yes—
69#2767C2214yes—
70#2767C2214yes—
71#2766C2214yes—
72#2765C2214yes—
73#2765C2214yes—
74#2765C2214yes—
75#2761C2214yes—
76#2761C2214yes—
77#2748C2214yes—
78#2747C2214yes—
79#2741C2214yes—
80#2739C2214yes—
81#2738C2214yes—
82#2722C2214yes—
83#2718C2214yes—
84#2718C2214yes—
85#2718C2214yes—
86#2706C2214yes—
87#2695C2214yes—
88#2667C2214yes—
89#2664C2214yes—
90#2664C2214yes—
91#2664C2214yes—
92#2655C2214yes—
93#2654C2214yes—
94#2652C2214yes—
95#2649C2214yes—
96#2648C2214yes—
97#2647C2214yes—
98#2647C2214yes—
99#2647C2212yes—
100#2646C2214yes—
101#2645C2212yes—
102#2643C2214yes—
103#2642C2212yes—
104#2629C2212yes—
105#2629C2212yes—
106#2625C2212yes—
107#2625C2212yes—
108#2624C2212yes—
109#2621C2212yes—
110#2620C2212yes—
111#2611C2214yes—
112#2603C2214yes—
113#2601C2214yes—
114#2597C2212yes—
115#2596C2212yes—
116#2596C2214yes—
117#2595C2212yes—
118#2594C2212yes—
119#2590C2214yes—
120#2585C2214yes—
121#2582C2211yescharacteristic
122#2568C2211yescharacteristic
123#2566C2212yes—
124#2565C2212yes—
125#2562C2214yes—
126#2552C2212yes—
127#2552C2211yescharacteristic
128#2552C2211yescharacteristic
129#2547C2212yes—
130#2546C2211yescharacteristic
131#2546C2211yescharacteristic
132#2546C2212yes—
133#2546C2212yes—
134#2542C2212yes—
135#2542C2211yescharacteristic
136#2538C2211yescharacteristic
137#2538C2212yes—
138#2530C2214yes—
139#2529C2214yes—
140#2528C2214yes—
141#2526C2214yes—
142#2519C2214yes—
143#2519C2214yes—
144#2519C2214yes—
145#2513C2211yescharacteristic
146#2512C2214yes—
147#2512C2212yes—
148#2511C2212yes—
149#2511C2212yes—
150#2511C2212yes—
151#2509C2212yes—
152#2509C2211yescharacteristic
153#2508C2212yes—
154#2508C2212yes—
155#2508C2212yes—
156#2507C2212yes—
157#2507C2212yes—
158#2507C2212yes—
159#2506C2214yes—
160#2506C2212yes—
161#2506C2212yes—
162#2506C2212yes—
163#2506C2212yes—
164#2506C2212yes—
165#2505C2214yes—
166#2505C2214yes—
167#2503C2212yes—
168#2502C2212yes—
169#2502C2212yes—
170#2500C2212yes—
171#2496C2212yes—
172#2496C2212yes—
173#2496C2212yes—
174#2496C2212yes—
175#2494C2212yes—
176#2494C2211yescharacteristic
177#2490C2211yescharacteristic
178#2489C2212yes—
179#2489C2212yes—
180#2489C2212yes—
181#2489C2212yes—
182#2487C2212yes—
183#2485C2212yes—
184#2481C2214yes—
185#2475C2214yes—
186#2475C2214yes—
187#2473C2214yes—
188#2473C2214yes—
189#2473C2214yes—
190#2468C2214yes—
191#2468C2214yes—
192#2467C2214yes—
193#2466C2214yes—
194#2466C2214yes—
195#2460C2214yes—
196#2454C2212yes—
197#2454C2212yes—
198#2453C2212yes—
199#2453C2211yescharacteristic
200#2453C2212yes—
201#2448C2211yescharacteristic
202#2447C2212yes—
203#2446C2212yes—
204#2446C2212yes—
205#2446C2212yes—
206#2442C2212yes—
207#2442C2212yes—
208#2441C2212yes—
209#2432C2212yes—
210#2432C2212yes—
211#2432C2212yes—
212#2429C2212yes—
213#2429C2212yes—
214#2429C2212yes—
215#2429C2212yes—
216#2427C2212yes—
217#2426C2211yescharacteristic
218#2423C2212yes—
219#2421C2212yes—
220#2421C2211yescharacteristic
221#2417C2212yes—
222#2417C2212yes—
223#2414C2212yes—
224#2407C2212yes—
225#2402C2214yes—
226#2401C2212yes—
227#2395C2212yes—
228#2373C2214yes—
229#2367C2212yes—
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2362C2212yes—
233#2361C2212yes—
234#2360C2212yes—
235#2359C2214yes—
236#2356C2212yes—
237#2355C2211yescharacteristic
238#2354C2211yescharacteristic
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241#2347C2212yes—
242#2344C2212yes—
243#2339C2212yes—
244#2335C2212yes—
245#2335C2212yes—
246#2334C2212yes—
247#2334C2212yes—
248#2330C2211yescharacteristic
249#2330C2211yescharacteristic
250#2330C2212yes—
251#2327C2212yes—
252#2326C2211yescharacteristic
253#2326C2211yescharacteristic
254#2324C2211yescharacteristic
255#2324C2211yescharacteristic
256#2324C2212yes—
257#2323C2212yes—
258#2323C2211yescharacteristic
259#2323C2211yescharacteristic
260#2323C2212yes—
261#2322C2214yes—
262#2319C2212yes—
263#2317C2212yes—
264#2317C2212yes—
265#2317C2212yes—
266#2316C2212yes—
267#2314C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2212yes—
270C4×C4⋊Q8C2211yescharacteristic
271C4×#125C2211yescharacteristic
272C4×#125C2212yes—
273C4×#126C2214yes—
274C4×#124C2212yes—
275C4×#124C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280#2298C2212yes—
281#2298C2212yes—
282#2296C2212yes—
283#2295C2211yescharacteristic
284#2295C2212yes—
285#2295C2212yes—
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2293C2212yes—
290C2×#389C2212yes—
291#2290C2212yes—
292#2285C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300#556—28no—
301#547—28no—
302#541—48no—
303#541—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310#529—28no—
311C2×#126C2314yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343#520—48no—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2314yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2314yes—
377C22×C4⋊C4C2312yes—
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380#401C2312yes—
381#401C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#399C2312yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#392C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2312yes—
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2314yes—
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2314yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
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#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#384C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2312yes—
707#384C2314yes—
708#384C2314yes—
709#384C2312yes—
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#383C2314yes—
715#382C2312yes—
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2314yes—
721#382C2314yes—
722#382C2312yes—
723#382C2314yes—
724#382C2314yes—
725#382C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2311yescharacteristic
807#376C2311yescharacteristic
808#376C2314yes—
809#376C2314yes—
810C2×#95C2314yes—
811C43C2314yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2414yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844#126—28no—
845#126—216no—
846#126—48no—
847#126—48no—
848#126—48no—
849#126—48no—
850#125—24no—
851#125—24no—
852#125—44no—
853#125—44no—
854#125—44no—
855#125—48no—
856#125—48no—
857#125—48no—
858#125—48no—
859#124—24no—
860#124—28no—
861#124—42no—
862#123—28no—
863#123—216no—
864C22⋊Q8—28no—
865C22⋊Q8—24no—
866C22⋊Q8—28no—
867C22⋊Q8—42no—
868C22⋊Q8—44no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873#121—24no—
874#121—28no—
875#121—24no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—24no—
880C4×Q8—28no—
881C4×Q8—24no—
882C4×Q8—28no—
883C4×Q8—42no—
884C4×Q8—42no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×D4—28no—
888C4×D4—24no—
889C4×D4—24no—
890C4×D4—48no—
891C4×D4—44no—
892C4×D4—42no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—48no—
896C4×D4#4118yes—
897#117—28no—
898#117—28no—
899#117—28no—
900#117—28no—
901#117—24no—
902#117—44no—
903#117—44no—
904#117—42no—
905#117—48no—
906C2×C4⋊C4—28no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4—48no—
909C2×C4⋊C4—44no—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C42—24no—
1038C2×C42—44no—
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2414yes—
1089#95C2414yes—
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156C24C2512yes—
1157C24C2511yescharacteristic
1158C24C2512yes—
1159#41—432no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—22no—
1166C2×Q8—24no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×D4—28no—
1173C2×D4—24no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—24no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4C2×#4114yes—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—28no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4C2×#4118yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2514yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2512yes—
1235C22×C4C2514yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2514yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—28no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—28no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—28no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—41no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4C2×#4114yes—
1330C4⋊C42−1+414yes—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—41no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—41no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4C2×#4118yes—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—24no—
1380C42—28no—
1381C42—24no—
1382C42—24no—
1383C42—22no—
1384C42—28no—
1385C42—24no—
1386C42—28no—
1387C42—28no—
1388C42—22no—
1389C42—24no—
1390C42—22no—
1391C42—22no—
1392C42—24no—
1393C42—22no—
1394C42—24no—
1395C42—22no—
1396C42—22no—
1397C42—24no—
1398C42—42no—
1399C42—42no—
1400C42—41no—
1401C42—42no—
1402C42—42no—
1403C42—41no—
1404C42—42no—
1405C42—41no—
1406C42—41no—
1407C42—44no—
1408C42—42no—
1409C42—44no—
1410C42—42no—
1411C42—44no—
1412C42—42no—
1413C42C2×#4114yes—
1414C42H(5,𝔽2)14yes—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—21no—
1423C23—21no—
1424C23—22no—
1425C23—22no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—21no—
1434C23—21no—
1435C23C22×#4114yes—
1436C23C2611yescharacteristic
1437Q8—44no—
1438Q8—48no—
1439Q8—48no—
1440Q8—44no—
1441D4—28no—
1442D4—416no—
1443D4—44no—
1444D4—84no—
1445D4—84no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—216no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—416no—
1533C2×C4—44no—
1534C2×C4—48no—
1535C2×C4—44no—
1536C2×C4—82no—
1537C2×C4—84no—
1538C2×C4—84no—
1539C2×C4—164no—
1540C2×C4—164no—
1541C2×C4C22×#4114yes—
1542C2×C4C22×#4112yes—
1543C2×C4C22×#4112yes—
1544C2×C4C22×#4112yes—
1545C2×C4C2×H(5,𝔽2)12yes—
1546C2×C4C2×H(5,𝔽2)12yes—
1547C2×C4C2×H(5,𝔽2)12yes—
1548C2×C4C2×2−1+414yes—
1549C2×C4C2×2−1+412yes—
1550C2×C4#58512yes—
1551C2×C4#58512yes—
1552C22—24no—
1553C22—24no—
1554C22—24no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—41no—
1560C22—42no—
1561C22—41no—
1562C22—42no—
1563C22—42no—
1564C22—41no—
1565C22—42no—
1566C22—41no—
1567C22—41no—
1568C22—42no—
1569C22—41no—
1570C22—42no—
1571C22—41no—
1572C22—42no—
1573C22C23×#4111yescharacteristic
1574C22C22×H(5,𝔽2)11yescharacteristic
1575C22C22×2−1+411yescharacteristic
1576C22C2×#58511yescharacteristic
1577C22C2×#58511yescharacteristic
1578C222−1+611yescharacteristic
1579C222−1+611yescharacteristic
1580C4—24no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—24no—
1585C4—41no—
1586C4—42no—
1587C4—42no—
1588C4—41no—
1589C4—42no—
1590C4—41no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—44no—
1595C4—41no—
1596C4—42no—
1597C4—44no—
1598C4—42no—
1599C4—44no—
1600C4—41no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—41no—
1605C4—42no—
1606C4—41no—
1607C4—44no—
1608C4—41no—
1609C4—41no—
1610C4#346014yes—
1611C4#351514yes—
1612C2—44no—
1613C2—81no—
1614C2—82no—
1615C2C2×#346011yescharacteristic
1616C2C2×#351511yescharacteristic
1617C2#6286111yescharacteristic
1618C2#6293111yescharacteristic
1619C2#6293911yescharacteristic
1620C2#6294611yescharacteristic
1621C2#6295011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38920C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42776C2semidirect
2. #42772C2semidirect
3. #42715C2semidirect
4. #42706C2semidirect
5. #41905C2semidirect
6. #41847C2semidirect
7. #39641C2semidirect
8. #39606C2semidirect
9. #39546C2semidirect
10. #39488C2semidirect
11. #39478C2semidirect
12. #39083C2semidirect
13. #38977C2semidirect
14. #38966C2semidirect
15. #38923C2semidirect
17. #38261C2semidirect
18. #38213C2semidirect
19. #37524C2semidirect
20. #37504C2semidirect
21. #37075C2semidirect
22. #37063C2semidirect
23. #35625C2semidirect
24. #35622C2semidirect
25. #35319C2semidirect
26. #35265C2semidirect
27. #35209C2semidirect
28. #35209C2semidirect
29. #35204C2semidirect
30. #35161C2semidirect
31. #34951C2semidirect
32. #34915C2semidirect
33. #34308C2semidirect
34. C4×#556C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#427762
#427722
#427152
#427062
#419052
#418472
#396412
#396062
#395462
#394882
#394782
#390832
#389772
#389662
#389232
#389202
#382612
#382132
#375242
#375042
#370752
#370632
#356252
#356222
#353192
#352652
#352092
#352042
#351612
#349512
#349152
#343082
C4×#5562
#340842