Finite Group Databasebeta

← #7657673

Subgroups — #7657673

Order 512.

4324 conjugacy classes of subgroups.

The subgroup lattice has 1582 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42939C212yesmaximal
2#42938C212yesmaximal, complemented
3#42527C212yesmaximal, complemented
4#42526C212yesmaximal, complemented
5#42237C214yesmaximal, complemented
6#42070C214yesmaximal, complemented
7#41055C214yesmaximal, complemented
8#41043C214yesmaximal, complemented
9#39643C211yesmaximal, characteristic, complemented
10#39642C211yesmaximal, characteristic, complemented
11#39547C212yesmaximal, complemented
12#39544C212yesmaximal, complemented
13#39515C211yesmaximal, characteristic, complemented
14#39514C211yesmaximal, characteristic, complemented
15#37939C212yesmaximal, complemented
16#37936C212yesmaximal, complemented
17#37633C211yesmaximal, characteristic
18#37632C211yesmaximal, characteristic
19#37597C212yesmaximal, complemented
20#37592C212yesmaximal, complemented
21#36563C211yesmaximal, characteristic, complemented
22#36556C211yesmaximal, characteristic, complemented
23#36194C211yesmaximal, characteristic, complemented
24#36175C211yesmaximal, characteristic, complemented
25#35936C212yesmaximal, complemented
26#35869C212yesmaximal, complemented
27#35818C212yesmaximal, complemented
28#35745C212yesmaximal
29#35282C212yesmaximal, complemented
30#35281C211yesmaximal, characteristic, complemented
31#34625C211yesmaximal, characteristic, complemented
32#34625C212yesmaximal, complemented
33#34231C211yesmaximal, characteristic, complemented
34#34216C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic
36C2×#533C2211yescharacteristic
37C22×C4⋊Q8C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2868C2211yescharacteristic
40#2868C2211yescharacteristic
41#2864C2212yes—
42#2862C2211yescharacteristic
43#2862C2211yescharacteristic
44#2859C2212yes—
45#2857C2212yes—
46#2851C2212yes—
47#2839C2214yes—
48#2836C2214yes—
49#2833C2214yes—
50#2831C2214yes—
51#2821C2214yes—
52#2814C2214yes—
53#2799C2214yes—
54#2798C2214yes—
55#2776C2214yes—
56#2775C2214yes—
57#2772C2214yes—
58#2770C2214yes—
59#2769C2214yes—
60#2766C2214yes—
61#2759C2214yes—
62#2755C2214yes—
63#2745C2214yes—
64#2744C2214yes—
65#2739C2214yes—
66#2738C2214yes—
67#2719C2214yes—
68#2716C2214yes—
69#2716C2214yes—
70#2713C2214yes—
71#2713C2214yes—
72#2707C2214yes—
73#2698C2214yes—
74#2695C2214yes—
75#2694C2214yes—
76#2687C2214yes—
77#2667C2212yes—
78#2667C2214yes—
79#2666C2214yes—
80#2666C2212yes—
81#2666C2214yes—
82#2666C2212yes—
83#2666C2214yes—
84#2665C2214yes—
85#2665C2212yes—
86#2664C2214yes—
87#2660C2212yes—
88#2660C2211yescharacteristic
89#2660C2212yes—
90#2660C2211yescharacteristic
91#2660C2212yes—
92#2655C2214yes—
93#2655C2214yes—
94#2654C2214yes—
95#2650C2214yes—
96#2647C2212yes—
97#2647C2212yes—
98#2647C2211yescharacteristic
99#2647C2211yescharacteristic
100#2640C2212yes—
101#2637C2214yes—
102#2637C2214yes—
103#2634C2214yes—
104#2629C2212yes—
105#2629C2212yes—
106#2629C2211yescharacteristic
107#2629C2212yes—
108#2629C2211yescharacteristic
109#2628C2212yes—
110#2628C2212yes—
111#2628C2211yescharacteristic
112#2628C2212yes—
113#2628C2211yescharacteristic
114#2621C2212yes—
115#2620C2212yes—
116#2614C2214yes—
117#2612C2214yes—
118#2606C2214yes—
119#2596C2214yes—
120#2592C2212yes—
121#2588C2214yes—
122#2586C2214yes—
123#2585C2214yes—
124#2585C2214yes—
125#2582C2212yes—
126#2582C2212yes—
127#2581C2212yes—
128#2575C2214yes—
129#2574C2214yes—
130#2573C2214yes—
131#2571C2212yes—
132#2570C2212yes—
133#2570C2212yes—
134#2568C2212yes—
135#2567C2211yescharacteristic
136#2567C2211yescharacteristic
137#2567C2211yescharacteristic
138#2567C2212yes—
139#2567C2212yes—
140#2565C2212yes—
141#2563C2211yescharacteristic
142#2563C2211yescharacteristic
143#2563C2211yescharacteristic
144#2558C2214yes—
145#2556C2214yes—
146#2553C2214yes—
147#2552C2212yes—
148#2552C2212yes—
149#2552C2212yes—
150#2550C2214yes—
151#2547C2211yescharacteristic
152#2546C2211yescharacteristic
153#2546C2212yes—
154#2546C2212yes—
155#2545C2212yes—
156#2538C2212yes—
157#2530C2214yes—
158#2529C2214yes—
159#2527C2214yes—
160#2527C2214yes—
161#2524C2214yes—
162#2523C2214yes—
163#2522C2214yes—
164#2520C2214yes—
165#2520C2214yes—
166#2519C2214yes—
167#2515C2214yes—
168#2514C2212yes—
169#2514C2212yes—
170#2512C2212yes—
171#2512C2212yes—
172#2511C2212yes—
173#2511C2212yes—
174#2511C2212yes—
175#2511C2212yes—
176#2509C2212yes—
177#2509C2212yes—
178#2508C2212yes—
179#2508C2212yes—
180#2507C2212yes—
181#2507C2212yes—
182#2506C2212yes—
183#2506C2212yes—
184#2503C2212yes—
185#2502C2212yes—
186#2502C2212yes—
187#2501C2212yes—
188#2497C2212yes—
189#2497C2212yes—
190#2496C2212yes—
191#2496C2212yes—
192#2495C2212yes—
193#2495C2212yes—
194#2494C2212yes—
195#2494C2212yes—
196#2492C2214yes—
197#2486C2212yes—
198#2486C2212yes—
199#2485C2212yes—
200#2485C2212yes—
201#2478C2214yes—
202#2470C2214yes—
203#2469C2214yes—
204#2465C2214yes—
205#2462C2214yes—
206#2462C2214yes—
207#2462C2214yes—
208#2458C2214yes—
209#2451C2214yes—
210#2448C2212yes—
211#2447C2212yes—
212#2446C2212yes—
213#2446C2212yes—
214#2439C2214yes—
215#2434C2212yes—
216#2434C2212yes—
217#2402C2212yes—
218#2402C2214yes—
219#2399C2212yes—
220#2399C2214yes—
221#2396C2214yes—
222#2396C2214yes—
223#2396C2212yes—
224#2396C2212yes—
225#2374C2212yes—
226#2374C2212yes—
227#2373C2212yes—
228#2373C2212yes—
229#2370C2211yescharacteristic
230#2370C2211yescharacteristic
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2369C2211yescharacteristic
234#2369C2211yescharacteristic
235#2369C2211yescharacteristic
236#2369C2211yescharacteristic
237#2367C2211yescharacteristic
238#2367C2212yes—
239#2367C2211yescharacteristic
240#2365C2212yes—
241#2365C2212yes—
242#2365C2212yes—
243#2365C2211yescharacteristic
244#2365C2211yescharacteristic
245#2363C2211yescharacteristic
246#2363C2211yescharacteristic
247#2362C2211yescharacteristic
248#2362C2211yescharacteristic
249#2362C2212yes—
250#2362C2212yes—
251#2356C2212yes—
252#2356C2214yes—
253#2355C2212yes—
254#2355C2212yes—
255#2355C2212yes—
256#2354C2212yes—
257Q8×C4⋊C4C2212yes—
258#2347C2212yes—
259#2346C2212yes—
260#2345C2212yes—
261#2345C2212yes—
262Q8×C22⋊C4C2214yes—
263#2332C2214yes—
264#2331C2212yes—
265#2331C2214yes—
266#2330C2212yes—
267#2320C2212yes—
268#2317C2212yes—
269#2317C2212yes—
270#2316C2212yes—
271#2314C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×#125C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#125C2212yes—
281C4×#125C2212yes—
282C4×#125C2212yes—
283#2298C2212yes—
284#2295C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2290C2212yes—
288#2285C2211yescharacteristic
289#2285C2212yes—
290#2283C2211yescharacteristic
291#2283C2212yes—
292#2276C2212yes—
293#2274C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300#533—28no—
301C2×C4⋊Q8—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316#529—28no—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2314yes—
336C2×#121C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2314yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2314yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C42C2312yes—
365C22×C42C2311yescharacteristic
366#401C2314yes—
367#401C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2312yes—
390#400C2312yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2312yes—
398#399C2314yes—
399#399C2312yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2312yes—
436#398C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#396C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2312yes—
458#396C2314yes—
459#396C2312yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2312yes—
470#395C2312yes—
471#395C2314yes—
472#395C2312yes—
473#395C2312yes—
474#395C2312yes—
475#395C2312yes—
476#394C2314yes—
477#394C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2312yes—
485#393C2312yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2314yes—
503#391C2312yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2311yescharacteristic
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#386C2312yes—
661#386C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2312yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2312yes—
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#383C2312yes—
686#383C2314yes—
687#383C2314yes—
688#383C2314yes—
689#383C2314yes—
690#382C2311yescharacteristic
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2314yes—
699#382C2314yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2314yes—
705#382C2312yes—
706#382C2314yes—
707#381C2314yes—
708#381C2312yes—
709#381C2314yes—
710#381C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2314yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2311yescharacteristic
808#376C2311yescharacteristic
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8—28no—
814C22×Q8—82no—
815C22×Q8—82no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C4⋊Q8—28no—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—28no—
837C4⋊Q8—28no—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—44no—
843C4⋊Q8—82no—
844C4⋊Q8—82no—
845C4⋊Q8—82no—
846C4⋊Q8—82no—
847#126—28no—
848#126—84no—
849#126—84no—
850#125—24no—
851#125—28no—
852#125—24no—
853#125—24no—
854#125—84no—
855#125—84no—
856#125—84no—
857#124—24no—
858#124—44no—
859#123—28no—
860#123—84no—
861#123—84no—
862C22⋊Q8—24no—
863C22⋊Q8—28no—
864C22⋊Q8—28no—
865C22⋊Q8—84no—
866#121—24no—
867C4×Q8—24no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—42no—
875C4×Q8—44no—
876C4×Q8—84no—
877C4×Q8—84no—
878C4×Q8—84no—
879C4×D4—28no—
880C4×D4—24no—
881C4×D4—24no—
882C4×D4—42no—
883#117—28no—
884#117—24no—
885#117—28no—
886#117—24no—
887#117—24no—
888#117—28no—
889#117—44no—
890#117—42no—
891#117—84no—
892C2×C4⋊C4—28no—
893C2×C4⋊C4—28no—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C42—28no—
1011C2×C42#4118yes—
1012C2×C42C2412yes—
1013C2×C42C2414yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142C24C2512yes—
1143C24C2511yescharacteristic
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—28no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—816no—
1169C2×D4—24no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—28no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—42no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4C2×#4114yes—
1194C22×C4C2×#4114yes—
1195C22×C4C2×#4114yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C42−1+414yes—
1315C22⋊C4—28no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—24no—
1326C22⋊C4—22no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C42—24no—
1346C42—28no—
1347C42—24no—
1348C42—24no—
1349C42—24no—
1350C42—24no—
1351C42—24no—
1352C42—22no—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—24no—
1357C42—24no—
1358C42—28no—
1359C42—24no—
1360C42—24no—
1361C42—22no—
1362C42—22no—
1363C42—24no—
1364C42—42no—
1365C42—44no—
1366C42—44no—
1367C42—42no—
1368C42—44no—
1369C42—42no—
1370C42—42no—
1371C42—44no—
1372C42—42no—
1373C42—44no—
1374C42—44no—
1375C42—42no—
1376C42—44no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42C2×#4114yes—
1382C42C2×#4114yes—
1383C42C2×#4114yes—
1384C42C2×#4114yes—
1385C422−1+414yes—
1386C422−1+414yes—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23C22×#4112yes—
1401C23C2611yescharacteristic
1402Q8—48no—
1403Q8—416no—
1404Q8—44no—
1405Q8—48no—
1406Q8—84no—
1407Q8—84no—
1408Q8—84no—
1409Q8—84no—
1410D4—44no—
1411D4—84no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—28no—
1431C2×C4—28no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—44no—
1499C2×C4—48no—
1500C2×C4—48no—
1501C2×C4—84no—
1502C2×C4—88no—
1503C2×C4C22×#4112yes—
1504C2×C4C22×#4112yes—
1505C2×C4C22×#4112yes—
1506C2×C4C22×#4112yes—
1507C2×C4C22×#4112yes—
1508C2×C4C22×#4112yes—
1509C2×C4C2×2−1+414yes—
1510C2×C4C2×2−1+412yes—
1511C2×C4C2×2−1+412yes—
1512C2×C4C2×2−1+412yes—
1513C2×C4C2×2−1+412yes—
1514C2×C4C2×2−1+412yes—
1515C2×C4C2×2−1+412yes—
1516C2×C4C2×2−1+412yes—
1517C2×C4#58512yes—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22C23×#4111yescharacteristic
1533C22C22×2−1+411yescharacteristic
1534C22C22×2−1+411yescharacteristic
1535C22C22×2−1+411yescharacteristic
1536C22C2×#58511yescharacteristic
1537C22H(7,𝔽2)11yescharacteristic
1538C22H(7,𝔽2)11yescharacteristic
1539C4—22no—
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—22no—
1544C4—22no—
1545C4—22no—
1546C4—22no—
1547C4—24no—
1548C4—42no—
1549C4—44no—
1550C4—44no—
1551C4—42no—
1552C4—44no—
1553C4—41no—
1554C4—42no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—41no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—44no—
1565C4—42no—
1566C4—41no—
1567C4—42no—
1568C4—41no—
1569C4—42no—
1570C4#346114yes—
1571C4#350914yes—
1572C2—42no—
1573C2—82no—
1574C2C2×#346111yescharacteristic
1575C2C2×#350911yescharacteristic
1576C2#6285511yescharacteristic
1577C2#6292611yescharacteristic
1578C2#6292911yescharacteristic
1579C2#6294311yescharacteristic
1580C2#6294511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #42938C2semidirect
3. #42527C2semidirect
4. #42526C2semidirect
5. #42237C2semidirect
6. #42070C2semidirect
7. #41055C2semidirect
8. #41043C2semidirect
9. #39643C2semidirect
10. #39642C2semidirect
11. #39547C2semidirect
12. #39544C2semidirect
13. #39515C2semidirect
14. #39514C2semidirect
15. #37939C2semidirect
16. #37936C2semidirect
19. #37597C2semidirect
20. #37592C2semidirect
21. #36563C2semidirect
22. #36556C2semidirect
23. #36194C2semidirect
24. #36175C2semidirect
25. #35936C2semidirect
26. #35869C2semidirect
27. #35818C2semidirect
29. #35282C2semidirect
30. #35281C2semidirect
31. #34625C2semidirect
32. #34625C2semidirect
33. #34231C2semidirect
34. #34216C2semidirect

Maximal subgroups

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

subgroupindex
#429392
#429382
#425272
#425262
#422372
#420702
#410552
#410432
#396432
#396422
#395472
#395442
#395152
#395142
#379392
#379362
#376332
#376322
#375972
#375922
#365632
#365562
#361942
#361752
#359362
#358692
#358182
#357452
#352822
#352812
#346252
#342312
#342162
#341512