Finite Group Databasebeta

← #7657549

Subgroups — #7657549

Order 512.

4345 conjugacy classes of subgroups.

The subgroup lattice has 1607 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42766C212yesmaximal, complemented
2#42764C212yesmaximal, complemented
3#42724C212yesmaximal, complemented
4#42718C212yesmaximal, complemented
5#41804C214yesmaximal, complemented
6#41796C214yesmaximal, complemented
7#41178C214yesmaximal, complemented
8#41171C214yesmaximal, complemented
9#39078C212yesmaximal, complemented
10#39071C212yesmaximal, complemented
11#38964C211yesmaximal, characteristic, complemented
12#38958C211yesmaximal, characteristic, complemented
13#38922C211yesmaximal, characteristic
14#38911C211yesmaximal, characteristic, complemented
15#38212C212yesmaximal, complemented
16#38207C212yesmaximal, complemented
17#37638C211yesmaximal, characteristic, complemented
18#37631C211yesmaximal, characteristic, complemented
19#37509C212yesmaximal, complemented
20#37494C212yesmaximal, complemented
21#36480C211yesmaximal, characteristic, complemented
22#36449C211yesmaximal, characteristic, complemented
23#36299C211yesmaximal, characteristic, complemented
24#36286C211yesmaximal, characteristic, complemented
25#35885C212yesmaximal, complemented
26#35849C212yesmaximal, complemented
27#35804C212yesmaximal, complemented
28#35783C212yesmaximal, complemented
29#35313C212yesmaximal, complemented
30#35291C211yesmaximal, characteristic, complemented
31#34619C211yesmaximal, characteristic, complemented
32#34619C212yesmaximal, complemented
33#34334C211yesmaximal, characteristic, complemented
34#34321C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2863C2212yes—
40#2863C2212yes—
41#2863C2212yes—
42#2863C2212yes—
43#2862C2211yescharacteristic
44#2859C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2838C2214yes—
48#2835C2214yes—
49#2833C2214yes—
50#2832C2214yes—
51#2831C2214yes—
52#2827C2214yes—
53#2796C2214yes—
54#2795C2214yes—
55#2772C2214yes—
56#2770C2214yes—
57#2769C2214yes—
58#2763C2214yes—
59#2759C2214yes—
60#2759C2214yes—
61#2758C2214yes—
62#2758C2214yes—
63#2754C2214yes—
64#2740C2214yes—
65#2738C2214yes—
66#2737C2214yes—
67#2737C2214yes—
68#2720C2214yes—
69#2715C2214yes—
70#2711C2214yes—
71#2700C2214yes—
72#2700C2214yes—
73#2690C2214yes—
74#2689C2214yes—
75#2687C2214yes—
76#2672C2214yes—
77#2665C2214yes—
78#2655C2214yes—
79#2654C2214yes—
80#2654C2212yes—
81#2653C2214yes—
82#2653C2214yes—
83#2653C2212yes—
84#2653C2214yes—
85#2652C2214yes—
86#2650C2214yes—
87#2650C2214yes—
88#2650C2212yes—
89#2650C2214yes—
90#2649C2212yes—
91#2649C2214yes—
92#2647C2212yes—
93#2647C2212yes—
94#2647C2211yescharacteristic
95#2645C2212yes—
96#2645C2212yes—
97#2645C2212yes—
98#2645C2211yescharacteristic
99#2645C2212yes—
100#2644C2211yescharacteristic
101#2643C2214yes—
102#2640C2212yes—
103#2640C2211yescharacteristic
104#2639C2214yes—
105#2634C2214yes—
106#2628C2212yes—
107#2628C2211yescharacteristic
108#2628C2212yes—
109#2625C2211yescharacteristic
110#2625C2212yes—
111#2625C2212yes—
112#2625C2212yes—
113#2624C2212yes—
114#2624C2211yescharacteristic
115#2620C2212yes—
116#2620C2211yescharacteristic
117#2607C2214yes—
118#2605C2214yes—
119#2605C2214yes—
120#2596C2214yes—
121#2590C2214yes—
122#2588C2214yes—
123#2588C2214yes—
124#2586C2214yes—
125#2582C2211yescharacteristic
126#2581C2212yes—
127#2580C2212yes—
128#2578C2214yes—
129#2578C2214yes—
130#2577C2214yes—
131#2576C2214yes—
132#2572C2214yes—
133#2571C2211yescharacteristic
134#2570C2212yes—
135#2568C2211yescharacteristic
136#2567C2211yescharacteristic
137#2567C2211yescharacteristic
138#2567C2212yes—
139#2551C2211yescharacteristic
140#2550C2212yes—
141#2547C2211yescharacteristic
142#2538C2211yescharacteristic
143#2537C2212yes—
144#2532C2214yes—
145#2530C2214yes—
146#2527C2214yes—
147#2523C2214yes—
148#2518C2214yes—
149#2516C2214yes—
150#2515C2214yes—
151#2514C2212yes—
152#2514C2212yes—
153#2514C2214yes—
154#2514C2212yes—
155#2514C2214yes—
156#2511C2214yes—
157#2511C2214yes—
158#2511C2212yes—
159#2509C2212yes—
160#2509C2212yes—
161#2509C2212yes—
162#2508C2212yes—
163#2508C2212yes—
164#2506C2212yes—
165#2506C2212yes—
166#2499C2212yes—
167#2497C2212yes—
168#2495C2212yes—
169#2495C2212yes—
170#2495C2212yes—
171#2494C2212yes—
172#2494C2212yes—
173#2493C2214yes—
174#2493C2214yes—
175#2493C2214yes—
176#2493C2214yes—
177#2492C2212yes—
178#2492C2212yes—
179#2492C2212yes—
180#2489C2212yes—
181#2485C2212yes—
182#2485C2212yes—
183#2476C2214yes—
184#2475C2214yes—
185#2465C2214yes—
186#2462C2214yes—
187#2453C2212yes—
188#2452C2212yes—
189#2451C2212yes—
190#2451C2212yes—
191#2450C2214yes—
192#2448C2212yes—
193#2447C2212yes—
194#2447C2212yes—
195#2444C2214yes—
196#2441C2212yes—
197#2441C2214yes—
198#2440C2212yes—
199#2439C2212yes—
200#2439C2212yes—
201#2439C2212yes—
202#2439C2212yes—
203#2436C2212yes—
204#2427C2212yes—
205#2427C2212yes—
206#2421C2212yes—
207#2421C2214yes—
208#2421C2212yes—
209#2421C2212yes—
210#2420C2212yes—
211#2420C2212yes—
212#2420C2212yes—
213#2416C2212yes—
214#2415C2212yes—
215#2415C2212yes—
216#2409C2212yes—
217#2401C2212yes—
218#2401C2214yes—
219#2398C2212yes—
220#2398C2214yes—
221#2396C2214yes—
222#2396C2212yes—
223#2395C2214yes—
224#2395C2212yes—
225#2374C2212yes—
226#2374C2212yes—
227#2373C2212yes—
228#2373C2212yes—
229#2370C2211yescharacteristic
230#2370C2211yescharacteristic
231#2369C2211yescharacteristic
232#2369C2212yes—
233#2368C2214yes—
234#2367C2214yes—
235#2367C2211yescharacteristic
236#2367C2211yescharacteristic
237#2365C2211yescharacteristic
238#2365C2212yes—
239#2363C2211yescharacteristic
240#2363C2212yes—
241#2363C2211yescharacteristic
242#2362C2211yescharacteristic
243#2362C2211yescharacteristic
244#2361C2212yes—
245#2360C2212yes—
246#2360C2212yes—
247#2356C2212yes—
248#2355C2212yes—
249#2355C2211yescharacteristic
250#2354C2211yescharacteristic
251#2352C2212yes—
252#2349C2212yes—
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic
255#2347C2212yes—
256#2347C2212yes—
257#2347C2212yes—
258#2345C2212yes—
259#2344C2212yes—
260Q8×C22⋊C4C2212yes—
261#2337C2214yes—
262#2331C2212yes—
263#2329C2214yes—
264#2324C2212yes—
265#2323C2212yes—
266#2320C2212yes—
267#2317C2212yes—
268#2316C2212yes—
269#2310C2212yes—
270#2310C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×#124C2211yescharacteristic
276C4×#124C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281#2298C2212yes—
282#2296C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286C2×#391C2212yes—
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2293C2212yes—
291#2290C2212yes—
292#2275C2212yes—
293#2274C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300#555—28no—
301D4×Q8—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308#529—28no—
309C2×#126C2312yes—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#124C2314yes—
314C2×#124C2311yescharacteristic
315C2×#124C2312yes—
316C2×#124C2311yescharacteristic
317C2×#123C2312yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×#121C2312yes—
327C2×#121C2311yescharacteristic
328C2×#121C2312yes—
329C2×#121C2311yescharacteristic
330C2×#121C2314yes—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2314yes—
339C2×C4×Q8C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2311yescharacteristic
350C2×#117C2312yes—
351C2×#117C2312yes—
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2314yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C42C2311yescharacteristic
364C22×C42C2312yes—
365#401C2314yes—
366#401C2314yes—
367#401C2314yes—
368#401C2312yes—
369#401C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#399C2312yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2312yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2312yes—
473#394C2312yes—
474#393C2312yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2312yes—
482#393C2314yes—
483#393C2312yes—
484#393C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2314yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2314yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2314yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2314yes—
523#391C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#390C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2314yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2312yes—
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2314yes—
695#383C2314yes—
696#383C2314yes—
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2312yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2312yes—
806#376C2311yescharacteristic
807C2×#95C2314yes—
808C2×#95C2314yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C22×Q8—28no—
814C22×Q8—44no—
815C22×Q8—44no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2414yes—
827C22×D4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2411yescharacteristic
836C23×C4C2414yes—
837C23×C4C2412yes—
838C4⋊Q8—28no—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—42no—
844#126—28no—
845#125—24no—
846#125—84no—
847#125—82no—
848#124—24no—
849#124—216no—
850#124—42no—
851#124—44no—
852#123—28no—
853C22⋊Q8—28no—
854C22⋊Q8—24no—
855C22⋊Q8—216no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858C22⋊Q8—42no—
859C22⋊Q8—84no—
860C22⋊Q8—82no—
861#121—24no—
862#121—28no—
863#121—28no—
864#121—42no—
865#121—84no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—42no—
873C4×Q8—84no—
874C4×Q8—82no—
875C4×D4—28no—
876C4×D4—28no—
877C4×D4—24no—
878C4×D4—24no—
879C4×D4—44no—
880C4×D4—42no—
881C4×D4—44no—
882C4×D4—44no—
883C4×D4—84no—
884C4×D4#4118yes—
885#117—28no—
886#117—28no—
887#117—28no—
888#117—24no—
889#117—42no—
890#117—42no—
891#117—44no—
892#117—44no—
893#117—44no—
894#117—42no—
895#117—84no—
896C2×C4⋊C4—28no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C42—24no—
1013C2×C42—44no—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2414yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141C24C2512yes—
1142C24C2511yescharacteristic
1143C24C2512yes—
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—28no—
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—44no—
1158C2×Q8—42no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—816no—
1166C2×D4—24no—
1167C2×D4—28no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—44no—
1180C2×D4C2×#4114yes—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—28no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—28no—
1195C22×C4—24no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—42no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4C2×#4118yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2514yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—42no—
1281C4⋊C4—41no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4C2×#4114yes—
1311C4⋊C42−1+414yes—
1312C22⋊C4—28no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—28no—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—41no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4C2×#4118yes—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—28no—
1361C42—24no—
1362C42—24no—
1363C42—24no—
1364C42—22no—
1365C42—22no—
1366C42—24no—
1367C42—22no—
1368C42—24no—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—24no—
1373C42—22no—
1374C42—24no—
1375C42—24no—
1376C42—22no—
1377C42—42no—
1378C42—42no—
1379C42—41no—
1380C42—41no—
1381C42—42no—
1382C42—42no—
1383C42—44no—
1384C42—42no—
1385C42—42no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42—42no—
1391C42—42no—
1392C42—41no—
1393C42—44no—
1394C42—41no—
1395C42C2×#4114yes—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—21no—
1404C23—21no—
1405C23—22no—
1406C23—21no—
1407C23—22no—
1408C23—22no—
1409C23—21no—
1410C23—21no—
1411C23—22no—
1412C23—22no—
1413C23—21no—
1414C23—22no—
1415C23—21no—
1416C23C22×#4114yes—
1417C23C2611yescharacteristic
1418Q8—44no—
1419Q8—48no—
1420Q8—44no—
1421Q8—84no—
1422Q8—88no—
1423Q8—84no—
1424Q8—88no—
1425D4—28no—
1426D4—44no—
1427D4—84no—
1428D4—88no—
1429D4—84no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—216no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—44no—
1519C2×C4—48no—
1520C2×C4—44no—
1521C2×C4—82no—
1522C2×C4—88no—
1523C2×C4—84no—
1524C2×C4—88no—
1525C2×C4—84no—
1526C2×C4—164no—
1527C2×C4C22×#4114yes—
1528C2×C4C22×#4112yes—
1529C2×C4C22×#4112yes—
1530C2×C4C22×#4112yes—
1531C2×C4C2×2−1+414yes—
1532C2×C4C2×2−1+412yes—
1533C2×C4#58512yes—
1534C2×C4#58512yes—
1535C2×C4#58512yes—
1536C22—24no—
1537C22—24no—
1538C22—24no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—41no—
1544C22—42no—
1545C22—41no—
1546C22—42no—
1547C22—41no—
1548C22—42no—
1549C22—42no—
1550C22—41no—
1551C22—41no—
1552C22—42no—
1553C22—42no—
1554C22—41no—
1555C22—41no—
1556C22—42no—
1557C22C23×#4111yescharacteristic
1558C22C22×2−1+411yescharacteristic
1559C22C2×#58511yescharacteristic
1560C22C2×#58511yescharacteristic
1561C22C2×#58511yescharacteristic
1562C22H(7,𝔽2)11yescharacteristic
1563C222−1+611yescharacteristic
1564C4—24no—
1565C4—22no—
1566C4—24no—
1567C4—41no—
1568C4—42no—
1569C4—44no—
1570C4—42no—
1571C4—41no—
1572C4—42no—
1573C4—44no—
1574C4—42no—
1575C4—41no—
1576C4—42no—
1577C4—42no—
1578C4—41no—
1579C4—42no—
1580C4—41no—
1581C4—42no—
1582C4—41no—
1583C4—41no—
1584C4—42no—
1585C4—44no—
1586C4—42no—
1587C4—42no—
1588C4—41no—
1589C4—44no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—42no—
1594C4#346114yes—
1595C4#352114yes—
1596C2—44no—
1597C2—81no—
1598C2—82no—
1599C2C2×#346111yescharacteristic
1600C2C2×#352111yescharacteristic
1601C2#6285711yescharacteristic
1602C2#6293611yescharacteristic
1603C2#6293811yescharacteristic
1604C2#6295111yescharacteristic
1605C2#6295311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38922C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42766C2semidirect
2. #42764C2semidirect
3. #42724C2semidirect
4. #42718C2semidirect
5. #41804C2semidirect
6. #41796C2semidirect
7. #41178C2semidirect
8. #41171C2semidirect
9. #39078C2semidirect
10. #39071C2semidirect
11. #38964C2semidirect
12. #38958C2semidirect
14. #38911C2semidirect
15. #38212C2semidirect
16. #38207C2semidirect
17. #37638C2semidirect
18. #37631C2semidirect
19. #37509C2semidirect
20. #37494C2semidirect
21. #36480C2semidirect
22. #36449C2semidirect
23. #36299C2semidirect
24. #36286C2semidirect
25. #35885C2semidirect
26. #35849C2semidirect
27. #35804C2semidirect
28. #35783C2semidirect
29. #35313C2semidirect
30. #35291C2semidirect
31. #34619C2semidirect
32. #34619C2semidirect
33. #34334C2semidirect
34. #34321C2semidirect
35. #34151C2semidirect

Maximal subgroups

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

subgroupindex
#427662
#427642
#427242
#427182
#418042
#417962
#411782
#411712
#390782
#390712
#389642
#389582
#389222
#389112
#382122
#382072
#376382
#376312
#375092
#374942
#364802
#364492
#362992
#362862
#358852
#358492
#358042
#357832
#353132
#352912
#346192
#343342
#343212
#341512