Finite Group Databasebeta

← #7987061

Subgroups — #7987061

Order 512.

4354 conjugacy classes of subgroups.

The subgroup lattice has 1601 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59501C212yesmaximal, complemented
2#59464C211yesmaximal, characteristic, complemented
3#59296C212yesmaximal, complemented
4#59036C211yesmaximal, characteristic, complemented
5#59036C211yesmaximal, characteristic, complemented
6#50332C214yesmaximal, complemented
7#50262C214yesmaximal, complemented
8#46203C214yesmaximal, complemented
9#45310C212yesmaximal, complemented
10#45116C212yesmaximal, complemented
11#45067C212yesmaximal, complemented
12#44953C212yesmaximal, complemented
13#42865C212yesmaximal, complemented
14#42862C212yesmaximal, complemented
15#42764C212yesmaximal, complemented
16#42723C212yesmaximal, complemented
17#39642C211yesmaximal, characteristic, complemented
18#39514C211yesmaximal, characteristic, complemented
19#39480C211yesmaximal, characteristic, complemented
20#39158C211yesmaximal, characteristic, complemented
21#38315C214yesmaximal, complemented
22#38203C212yesmaximal, complemented
23#38073C212yesmaximal, complemented
24#36480C211yesmaximal, characteristic, complemented
25#36461C212yesmaximal
26#36448C212yesmaximal, complemented
27#36176C211yesmaximal, characteristic, complemented
28#36134C211yesmaximal, characteristic, complemented
29#35213C212yesmaximal, complemented
30#35184C212yesmaximal, complemented
31#34797C211yesmaximal, characteristic
32#34780C211yesmaximal, characteristic, complemented
33#34487C211yesmaximal, characteristic, complemented
34#34394C211yesmaximal, characteristic, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×D4×Q8C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2868C2211yescharacteristic
40#2863C2212yes—
41#2863C2214yes—
42#2863C2214yes—
43#2861C2214yes—
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2854C2212yes—
47#2836C2214yes—
48#2831C2214yes—
49#2806C2214yes—
50#2800C2214yes—
51#2799C2214yes—
52#2783C2214yes—
53#2774C2214yes—
54#2772C2214yes—
55#2769C2214yes—
56#2765C2214yes—
57#2762C2214yes—
58#2761C2214yes—
59#2759C2214yes—
60#2758C2214yes—
61#2755C2214yes—
62#2754C2214yes—
63#2751C2214yes—
64#2743C2214yes—
65#2740C2214yes—
66#2739C2214yes—
67#2739C2214yes—
68#2726C2214yes—
69#2725C2214yes—
70#2721C2214yes—
71#2716C2214yes—
72#2716C2214yes—
73#2715C2214yes—
74#2713C2214yes—
75#2713C2214yes—
76#2700C2214yes—
77#2695C2214yes—
78#2694C2214yes—
79#2692C2214yes—
80#2692C2214yes—
81#2690C2214yes—
82#2667C2214yes—
83#2665C2214yes—
84#2655C2214yes—
85#2654C2214yes—
86#2654C2214yes—
87#2652C2214yes—
88#2647C2212yes—
89#2644C2212yes—
90#2629C2212yes—
91#2625C2212yes—
92#2612C2214yes—
93#2612C2214yes—
94#2608C2214yes—
95#2607C2214yes—
96#2605C2214yes—
97#2604C2214yes—
98#2588C2214yes—
99#2585C2214yes—
100#2572C2214yes—
101#2571C2211yescharacteristic
102#2570C2212yes—
103#2570C2212yes—
104#2570C2212yes—
105#2568C2212yes—
106#2567C2211yescharacteristic
107#2567C2211yescharacteristic
108#2565C2214yes—
109#2563C2211yescharacteristic
110#2563C2211yescharacteristic
111#2558C2214yes—
112#2558C2214yes—
113#2557C2214yes—
114#2554C2214yes—
115#2552C2212yes—
116#2552C2212yes—
117#2552C2212yes—
118#2551C2211yescharacteristic
119#2550C2212yes—
120#2550C2212yes—
121#2550C2212yes—
122#2547C2212yes—
123#2542C2212yes—
124#2538C2212yes—
125#2538C2212yes—
126#2538C2212yes—
127#2532C2214yes—
128#2532C2214yes—
129#2532C2214yes—
130#2531C2212yes—
131#2529C2212yes—
132#2527C2214yes—
133#2527C2214yes—
134#2526C2214yes—
135#2525C2214yes—
136#2525C2214yes—
137#2524C2212yes—
138#2519C2214yes—
139#2518C2212yes—
140#2515C2214yes—
141#2515C2212yes—
142#2514C2214yes—
143#2514C2212yes—
144#2514C2211yescharacteristic
145#2514C2214yes—
146#2513C2212yes—
147#2512C2212yes—
148#2512C2212yes—
149#2512C2211yescharacteristic
150#2511C2212yes—
151#2511C2212yes—
152#2511C2214yes—
153#2509C2212yes—
154#2509C2212yes—
155#2508C2212yes—
156#2508C2212yes—
157#2508C2211yescharacteristic
158#2507C2211yescharacteristic
159#2506C2212yes—
160#2506C2212yes—
161#2506C2212yes—
162#2506C2212yes—
163#2503C2211yescharacteristic
164#2500C2211yescharacteristic
165#2497C2212yes—
166#2496C2212yes—
167#2496C2212yes—
168#2496C2214yes—
169#2495C2211yescharacteristic
170#2495C2212yes—
171#2495C2212yes—
172#2495C2214yes—
173#2495C2211yescharacteristic
174#2494C2212yes—
175#2494C2214yes—
176#2494C2212yes—
177#2494C2212yes—
178#2493C2212yes—
179#2492C2212yes—
180#2491C2212yes—
181#2490C2211yescharacteristic
182#2489C2211yescharacteristic
183#2488C2214yes—
184#2486C2212yes—
185#2486C2211yescharacteristic
186#2485C2212yes—
187#2485C2211yescharacteristic
188#2467C2212yes—
189#2465C2214yes—
190#2465C2214yes—
191#2465C2214yes—
192#2454C2212yes—
193#2454C2212yes—
194#2453C2212yes—
195#2453C2214yes—
196#2451C2212yes—
197#2448C2214yes—
198#2442C2211yescharacteristic
199#2441C2212yes—
200#2441C2212yes—
201#2441C2211yescharacteristic
202#2439C2212yes—
203#2439C2212yes—
204#2439C2212yes—
205#2439C2212yes—
206#2429C2212yes—
207#2429C2212yes—
208#2423C2212yes—
209#2423C2212yes—
210#2423C2212yes—
211#2423C2212yes—
212#2419C2212yes—
213#2417C2211yescharacteristic
214#2414C2211yescharacteristic
215#2409C2212yes—
216#2409C2212yes—
217#2402C2212yes—
218#2401C2212yes—
219#2395C2212yes—
220#2392C2212yes—
221#2378C2214yes—
222#2378C2214yes—
223#2371C2214yes—
224#2370C2212yes—
225#2370C2212yes—
226#2369C2211yescharacteristic
227#2369C2212yes—
228#2369C2211yescharacteristic
229#2369C2211yescharacteristic
230#2369C2211yescharacteristic
231#2369C2212yes—
232#2368C2214yes—
233#2365C2212yes—
234#2365C2212yes—
235#2365C2211yescharacteristic
236#2365C2211yescharacteristic
237#2365C2211yescharacteristic
238#2363C2212yes—
239#2363C2212yes—
240#2362C2212yes—
241#2360C2212yes—
242#2360C2212yes—
243#2357C2212yes—
244#2356C2212yes—
245#2355C2211yescharacteristic
246#2354C2212yes—
247#2354C2211yescharacteristic
248#2352C2212yes—
249#2351C2212yes—
250#2351C2212yes—
251Q8×C4⋊C4C2212yes—
252#2347C2212yes—
253#2347C2212yes—
254#2346C2212yes—
255#2346C2212yes—
256Q8×C22⋊C4C2212yes—
257Q8×C22⋊C4C2212yes—
258Q8×C22⋊C4C2212yes—
259#2332C2214yes—
260#2331C2212yes—
261#2331C2212yes—
262#2330C2212yes—
263#2330C2212yes—
264#2330C2212yes—
265#2323C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2320C2214yes—
269#2319C2212yes—
270#2314C2212yes—
271#2314C2212yes—
272#2310C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×#125C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×#126C2214yes—
278C4×#126C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×#123C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284#2296C2212yes—
285#2295C2212yes—
286#2295C2214yes—
287#2295C2211yescharacteristic
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2285C2211yescharacteristic
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2283C2212yes—
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×Q8C2312yes—
300D4×Q8—28no—
301#533—28no—
302#533—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×#126C2314yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#124C2314yes—
322C2×#123C2312yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2314yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C42C2312yes—
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365#401C2314yes—
366#401C2312yes—
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#400C2312yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#400C2312yes—
391#400C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2312yes—
395#399C2314yes—
396#399C2314yes—
397#398C2312yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2312yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#397C2314yes—
435#396C2312yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2314yes—
447#396C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#394C2312yes—
455#394C2312yes—
456#394C2312yes—
457#394C2312yes—
458#394C2312yes—
459#394C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#392C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2314yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2311yescharacteristic
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2311yescharacteristic
507#390C2314yes—
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2311yescharacteristic
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2311yescharacteristic
568#388C2312yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
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#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#384C2312yes—
673#384C2311yescharacteristic
674#384C2314yes—
675#384C2312yes—
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2312yes—
682#383C2314yes—
683#383C2312yes—
684#383C2314yes—
685#383C2312yes—
686#383C2314yes—
687#383C2312yes—
688#383C2314yes—
689#383C2312yes—
690#382C2311yescharacteristic
691#382C2311yescharacteristic
692#382C2312yes—
693#382C2312yes—
694#382C2314yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#382C2311yescharacteristic
701#382C2314yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#381C2314yes—
706#381C2314yes—
707#381C2312yes—
708#381C2312yes—
709#381C2312yes—
710#381C2312yes—
711#381C2314yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2314yes—
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803#376C2312yes—
804#376C2314yes—
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808#376C2314yes—
809C2×#95C2312yes—
810C43C2312yes—
811C43C2314yes—
812C43C2311yescharacteristic
813C22×Q8—28no—
814C22×Q8—44no—
815C22×Q8—44no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2414yes—
836C4⋊Q8—28no—
837C4⋊Q8—28no—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—82no—
843C4⋊Q8#4118yes—
844#126—44no—
845#126—48no—
846#126—84no—
847#125—28no—
848#125—28no—
849#125—24no—
850#125—42no—
851#125—48no—
852#125—84no—
853#125—84no—
854#124—84no—
855#123—44no—
856#123—84no—
857C22⋊Q8—28no—
858C22⋊Q8—28no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—216no—
863C22⋊Q8—42no—
864C22⋊Q8—42no—
865C22⋊Q8—82no—
866C22⋊Q8—82no—
867#121—24no—
868#121—24no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—24no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—84no—
879C4×D4—24no—
880C4×D4—28no—
881C4×D4—24no—
882C4×D4—42no—
883C4×D4—44no—
884C4×D4—42no—
885C4×D4—44no—
886#117—24no—
887#117—28no—
888#117—28no—
889#117—24no—
890#117—44no—
891#117—44no—
892#117—44no—
893C2×C4⋊C4—42no—
894C2×C4⋊C4—42no—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C42—28no—
1013C2×C42—24no—
1014C2×C42—24no—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2412yes—
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141C24C2511yescharacteristic
1142C24C2512yes—
1143C24C2511yescharacteristic
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—24no—
1147C2×Q8—28no—
1148C2×Q8—28no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—44no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8—44no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—816no—
1162C2×Q8C2×#4118yes—
1163C2×D4—22no—
1164C2×D4—24no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—24no—
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—28no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C42−1+414yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2514yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2514yes—
1227C22×C4C2514yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2514yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—28no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—41no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4C2×#4118yes—
1312C4⋊C4C2×#4118yes—
1313C4⋊C42−1+414yes—
1314C22⋊C4—24no—
1315C22⋊C4—22no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—22no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—41no—
1333C22⋊C4—42no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—42no—
1337C22⋊C4—41no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—28no—
1361C42—28no—
1362C42—24no—
1363C42—24no—
1364C42—24no—
1365C42—24no—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—22no—
1370C42—22no—
1371C42—24no—
1372C42—24no—
1373C42—22no—
1374C42—24no—
1375C42—22no—
1376C42—24no—
1377C42—22no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—42no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
1388C42—42no—
1389C42—44no—
1390C42—41no—
1391C42C2×#4114yes—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—22no—
1400C23—21no—
1401C23—22no—
1402C23—22no—
1403C23—21no—
1404C23—22no—
1405C23—21no—
1406C23—21no—
1407C23—22no—
1408C23—22no—
1409C23—21no—
1410C23—22no—
1411C23—21no—
1412C23C2×2−1+412yes—
1413C23C2611yescharacteristic
1414Q8—216no—
1415Q8—44no—
1416Q8—84no—
1417Q8—84no—
1418Q8—88no—
1419Q8—88no—
1420D4—44no—
1421D4—44no—
1422D4—84no—
1423D4—84no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—28no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—24no—
1503C2×C4—21no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—48no—
1513C2×C4—44no—
1514C2×C4—82no—
1515C2×C4—82no—
1516C2×C4—88no—
1517C2×C4—84no—
1518C2×C4—84no—
1519C2×C4C22×#4112yes—
1520C2×C4C22×#4118yes—
1521C2×C4C22×#4112yes—
1522C2×C4C22×#4112yes—
1523C2×C4C2×2−1+412yes—
1524C2×C4C2×2−1+414yes—
1525C2×C4C2×2−1+412yes—
1526C2×C4C2×2−1+412yes—
1527C2×C4#58512yes—
1528C2×C4#58512yes—
1529C2×C4#58512yes—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—42no—
1539C22—41no—
1540C22—42no—
1541C22—42no—
1542C22—41no—
1543C22—42no—
1544C22—41no—
1545C22—41no—
1546C22—42no—
1547C22—42no—
1548C22—41no—
1549C22—41no—
1550C22—42no—
1551C22C23×#4111yescharacteristic
1552C22C22×2−1+411yescharacteristic
1553C22C22×2−1+411yescharacteristic
1554C22C2×#58511yescharacteristic
1555C22C2×#58511yescharacteristic
1556C22C2×#58511yescharacteristic
1557C22H(7,𝔽2)11yescharacteristic
1558C4—22no—
1559C4—22no—
1560C4—28no—
1561C4—22no—
1562C4—24no—
1563C4—42no—
1564C4—41no—
1565C4—41no—
1566C4—44no—
1567C4—44no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—41no—
1573C4—42no—
1574C4—42no—
1575C4—41no—
1576C4—41no—
1577C4—42no—
1578C4—42no—
1579C4—41no—
1580C4—41no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—41no—
1586C4—44no—
1587C4—42no—
1588C4#352114yes—
1589C4#352314yes—
1590C2—42no—
1591C2—81no—
1592C2—82no—
1593C2#6275211yescharacteristic
1594C2C2×#352111yescharacteristic
1595C2C2×#352311yescharacteristic
1596C2#6292911yescharacteristic
1597C2#6295111yescharacteristic
1598C2#6300611yescharacteristic
1599C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2414C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59501C2semidirect
2. #59464C2semidirect
3. #59296C2semidirect
4. #59036C2semidirect
5. #59036C2semidirect
6. #50332C2semidirect
7. #50262C2semidirect
8. #46203C2semidirect
9. #45310C2semidirect
10. #45116C2semidirect
11. #45067C2semidirect
12. #44953C2semidirect
13. #42865C2semidirect
14. #42862C2semidirect
15. #42764C2semidirect
16. #42723C2semidirect
17. #39642C2semidirect
18. #39514C2semidirect
19. #39480C2semidirect
20. #39158C2semidirect
21. #38315C2semidirect
22. #38203C2semidirect
23. #38073C2semidirect
24. #36480C2semidirect
26. #36448C2semidirect
27. #36176C2semidirect
28. #36134C2semidirect
29. #35213C2semidirect
30. #35184C2semidirect
32. #34780C2semidirect
33. #34487C2semidirect
34. #34394C2semidirect
35. #34145C2semidirect

Maximal subgroups

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

subgroupindex
#595012
#594642
#592962
#590362
#503322
#502622
#462032
#453102
#451162
#450672
#449532
#428652
#428622
#427642
#427232
#396422
#395142
#394802
#391582
#383152
#382032
#380732
#364802
#364612
#364482
#361762
#361342
#352132
#351842
#347972
#347802
#344872
#343942
#341452