Finite Group Databasebeta

← #7646522

Subgroups — #7646522

Order 512.

4378 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42958C212yesmaximal, complemented
2#42956C212yesmaximal, complemented
3#42936C212yesmaximal, complemented
4#42934C212yesmaximal, complemented
5#42326C214yesmaximal, complemented
6#42324C214yesmaximal, complemented
7#39762C211yesmaximal, characteristic, complemented
8#39761C211yesmaximal, characteristic, complemented
9#39634C211yesmaximal, characteristic, complemented
10#39633C211yesmaximal, characteristic, complemented
11#38977C211yesmaximal, characteristic, complemented
12#38977C211yesmaximal, characteristic, complemented
13#38976C211yesmaximal, characteristic, complemented
14#38975C211yesmaximal, characteristic, complemented
15#38075C212yesmaximal, complemented
16#38073C212yesmaximal, complemented
17#38062C212yesmaximal
18#38060C212yesmaximal, complemented
19#37581C212yesmaximal, complemented
20#37580C212yesmaximal, complemented
21#36788C214yesmaximal, complemented
22#36783C214yesmaximal, complemented
23#35648C212yesmaximal, complemented
24#35647C212yesmaximal, complemented
25#35294C211yesmaximal, characteristic, complemented
26#35247C211yesmaximal, characteristic, complemented
27#35231C212yesmaximal, complemented
28#35228C212yesmaximal, complemented
29#35219C212yesmaximal, complemented
30#35175C212yesmaximal, complemented
31#34952C211yesmaximal, characteristic, complemented
32#34910C211yesmaximal, characteristic
33#34242C211yesmaximal, characteristic, complemented
34#34127C211yesmaximal, characteristic, complemented
35#34059C211yesmaximal, characteristic, complemented
36C2×#529C2211yescharacteristic
37C2×C4×#41C2211yescharacteristic
38C22×C4×Q8C2211yescharacteristic
39#2868C2211yescharacteristic
40#2859C2211yescharacteristic
41#2859C2211yescharacteristic
42#2859C2211yescharacteristic
43#2855C2214yes—
44#2855C2212yes—
45#2854C2212yes—
46#2853C2214yes—
47#2852C2214yes—
48#2851C2214yes—
49#2839C2214yes—
50#2838C2214yes—
51#2833C2214yes—
52#2831C2214yes—
53#2793C2214yes—
54#2790C2214yes—
55#2780C2214yes—
56#2780C2214yes—
57#2776C2214yes—
58#2776C2214yes—
59#2766C2214yes—
60#2765C2214yes—
61#2765C2214yes—
62#2765C2214yes—
63#2764C2214yes—
64#2761C2214yes—
65#2761C2214yes—
66#2760C2214yes—
67#2750C2214yes—
68#2749C2214yes—
69#2746C2214yes—
70#2745C2214yes—
71#2744C2214yes—
72#2743C2214yes—
73#2743C2214yes—
74#2743C2214yes—
75#2739C2214yes—
76#2739C2214yes—
77#2729C2214yes—
78#2719C2214yes—
79#2716C2214yes—
80#2707C2214yes—
81#2696C2214yes—
82#2695C2214yes—
83#2694C2214yes—
84#2693C2214yes—
85#2667C2214yes—
86#2666C2214yes—
87#2665C2214yes—
88#2665C2214yes—
89#2655C2214yes—
90#2655C2214yes—
91#2655C2214yes—
92#2654C2214yes—
93#2653C2214yes—
94#2652C2214yes—
95#2650C2214yes—
96#2649C2214yes—
97#2647C2212yes—
98#2647C2212yes—
99#2645C2212yes—
100#2645C2212yes—
101#2645C2212yes—
102#2644C2212yes—
103#2642C2212yes—
104#2640C2212yes—
105#2637C2214yes—
106#2629C2212yes—
107#2628C2212yes—
108#2602C2212yes—
109#2602C2212yes—
110#2601C2212yes—
111#2601C2212yes—
112#2592C2212yes—
113#2589C2214yes—
114#2587C2214yes—
115#2584C2212yes—
116#2582C2211yescharacteristic
117#2582C2211yescharacteristic
118#2582C2211yescharacteristic
119#2582C2211yescharacteristic
120#2581C2212yes—
121#2580C2212yes—
122#2579C2214yes—
123#2578C2214yes—
124#2576C2214yes—
125#2576C2214yes—
126#2575C2214yes—
127#2574C2214yes—
128#2573C2214yes—
129#2572C2214yes—
130#2572C2214yes—
131#2570C2212yes—
132#2570C2212yes—
133#2566C2211yescharacteristic
134#2565C2211yescharacteristic
135#2556C2214yes—
136#2553C2214yes—
137#2550C2212yes—
138#2550C2212yes—
139#2545C2211yescharacteristic
140#2544C2211yescharacteristic
141#2538C2211yescharacteristic
142#2538C2211yescharacteristic
143#2538C2211yescharacteristic
144#2538C2211yescharacteristic
145#2533C2214yes—
146#2530C2214yes—
147#2528C2214yes—
148#2527C2214yes—
149#2525C2214yes—
150#2524C2214yes—
151#2524C2214yes—
152#2520C2214yes—
153#2519C2214yes—
154#2515C2214yes—
155#2514C2212yes—
156#2514C2212yes—
157#2514C2214yes—
158#2514C2212yes—
159#2514C2212yes—
160#2514C2212yes—
161#2512C2212yes—
162#2511C2212yes—
163#2511C2212yes—
164#2510C2214yes—
165#2509C2212yes—
166#2509C2212yes—
167#2508C2212yes—
168#2508C2212yes—
169#2508C2212yes—
170#2507C2212yes—
171#2506C2212yes—
172#2506C2212yes—
173#2505C2214yes—
174#2503C2212yes—
175#2503C2212yes—
176#2502C2212yes—
177#2500C2211yescharacteristic
178#2499C2212yes—
179#2499C2211yescharacteristic
180#2497C2212yes—
181#2496C2212yes—
182#2495C2214yes—
183#2494C2212yes—
184#2494C2212yes—
185#2493C2214yes—
186#2492C2212yes—
187#2492C2212yes—
188#2489C2212yes—
189#2489C2212yes—
190#2488C2214yes—
191#2487C2212yes—
192#2487C2212yes—
193#2487C2212yes—
194#2486C2212yes—
195#2486C2212yes—
196#2485C2212yes—
197#2454C2212yes—
198#2454C2212yes—
199#2452C2212yes—
200#2451C2212yes—
201#2447C2212yes—
202#2447C2212yes—
203#2446C2212yes—
204#2445C2212yes—
205#2442C2212yes—
206#2442C2212yes—
207#2441C2212yes—
208#2441C2212yes—
209#2440C2212yes—
210#2439C2212yes—
211#2439C2212yes—
212#2439C2212yes—
213#2432C2211yescharacteristic
214#2431C2211yescharacteristic
215#2417C2212yes—
216#2417C2212yes—
217#2417C2212yes—
218#2415C2212yes—
219#2413C2214yes—
220#2409C2212yes—
221#2409C2212yes—
222#2396C2214yes—
223#2392C2212yes—
224#2392C2212yes—
225#2373C2214yes—
226#2363C2212yes—
227#2362C2212yes—
228#2355C2211yescharacteristic
229#2355C2211yescharacteristic
230#2355C2211yescharacteristic
231#2354C2211yescharacteristic
232#2354C2212yes—
233#2352C2212yes—
234#2352C2212yes—
235#2352C2212yes—
236Q8×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2211yescharacteristic
240#2347C2212yes—
241#2343C2214yes—
242#2339C2212yes—
243#2335C2214yes—
244#2331C2212yes—
245#2331C2212yes—
246#2330C2212yes—
247#2330C2212yes—
248#2328C2212yes—
249#2326C2212yes—
250#2323C2212yes—
251#2323C2212yes—
252#2320C2211yescharacteristic
253#2320C2211yescharacteristic
254#2320C2212yes—
255#2320C2212yes—
256#2320C2211yescharacteristic
257#2320C2211yescharacteristic
258#2320C2212yes—
259#2319C2212yes—
260#2319C2212yes—
261#2319C2212yes—
262#2316C2211yescharacteristic
263#2316C2211yescharacteristic
264#2314C2212yes—
265#2313C2212yes—
266#2313C2212yes—
267#2310C2211yescharacteristic
268#2310C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×#127C2211yescharacteristic
271C4×#125C2212yes—
272C4×#124C2211yescharacteristic
273C4×#124C2211yescharacteristic
274C4×#124C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277#2297C2212yes—
278#2296C2212yes—
279#2295C2211yescharacteristic
280#2295C2211yescharacteristic
281#2295C2211yescharacteristic
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2295C2212yes—
285#2295C2212yes—
286#2290C2212yes—
287#2290C2212yes—
288#2290C2214yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2283C2212yes—
292#2283C2212yes—
293#2283C2212yes—
294#2274C2212yes—
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×#127C2311yescharacteristic
306#529—28no—
307C2×#126C2312yes—
308C2×#126C2314yes—
309C2×#125C2311yescharacteristic
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#125C2312yes—
314C2×#124C2311yescharacteristic
315C2×#124C2311yescharacteristic
316C2×#124C2311yescharacteristic
317C2×#123C2312yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×#121C2311yescharacteristic
327C4×#41—28no—
328C2×C4×Q8—28no—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×#117C2312yes—
351C2×#117C2312yes—
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2312yes—
365C22×C42C2312yes—
366C22×C42C2312yes—
367C22×C42C2314yes—
368C22×C42C2311yescharacteristic
369#401C2314yes—
370#401C2314yes—
371#401C2314yes—
372#401C2314yes—
373#401C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#398C2312yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#396C2312yes—
439#396C2312yes—
440#396C2314yes—
441#396C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2312yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#392C2312yes—
472#392C2312yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2314yes—
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
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#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
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#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#386C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#383C2312yes—
694#383C2314yes—
695#383C2314yes—
696#383C2314yes—
697#383C2312yes—
698#383C2312yes—
699#383C2312yes—
700#383C2314yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#381C2312yes—
719#381C2312yes—
720#381C2312yes—
721#381C2312yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809C2×#95C2314yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—42no—
816C22×Q8—24no—
817C22×Q8—42no—
818C22×Q8—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2411yescharacteristic
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845C4⋊Q8—42no—
846C4⋊Q8—82no—
847#127—24no—
848#126—28no—
849#126—84no—
850#125—24no—
851#125—44no—
852#125—44no—
853#125—84no—
854#125—82no—
855#124—24no—
856#124—24no—
857#124—42no—
858#123—28no—
859#123—84no—
860#123—84no—
861C22⋊Q8—24no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864C22⋊Q8—44no—
865C22⋊Q8—44no—
866C22⋊Q8—84no—
867#121—24no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—28no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—24no—
877C4×Q8—44no—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—24no—
883C4×D4—24no—
884C4×D4—24no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—44no—
889#117—24no—
890#117—28no—
891#117—28no—
892#117—42no—
893#117—42no—
894#117—42no—
895#117—42no—
896#117—44no—
897#117—44no—
898#117—82no—
899C2×C4⋊C4—28no—
900C2×C4⋊C4—24no—
901C2×C4⋊C4—44no—
902C2×C4⋊C4—44no—
903C2×C4⋊C4—44no—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C42—28no—
1019C2×C42—28no—
1020C2×C42—84no—
1021C2×C42#4118yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2414yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2412yes—
1069#95C2412yes—
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147C24C2512yes—
1148C24C2511yescharacteristic
1149C24C2512yes—
1150#41—416no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—416no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D42−1+414yes—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—28no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—42no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4C2×#4114yes—
1222C22×C4C2×#4114yes—
1223C22×C4C2×#4114yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2514yes—
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2514yes—
1248C22×C4C2514yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
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—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C42—24no—
1371C42—24no—
1372C42—24no—
1373C42—24no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—24no—
1378C42—24no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—24no—
1386C42—22no—
1387C42—22no—
1388C42—42no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42—41no—
1393C42—41no—
1394C42—42no—
1395C42—44no—
1396C42—44no—
1397C42—42no—
1398C42—42no—
1399C42—44no—
1400C42—44no—
1401C42—41no—
1402C42—41no—
1403C42C2×#4114yes—
1404C42C2×#4114yes—
1405C42C2×#4114yes—
1406C42C2×#4114yes—
1407C23—22no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—21no—
1416C23—22no—
1417C23—22no—
1418C23—21no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23C22×#4112yes—
1427C23C2×2−1+414yes—
1428C23C2611yescharacteristic
1429Q8—48no—
1430Q8—44no—
1431Q8—44no—
1432Q8—44no—
1433Q8—44no—
1434Q8—164no—
1435D4—28no—
1436D4—48no—
1437D4—44no—
1438D4—84no—
1439D4—84no—
1440D4—84no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—28no—
1450C2×C4—28no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
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—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—44no—
1530C2×C4—48no—
1531C2×C4—48no—
1532C2×C4—48no—
1533C2×C4—48no—
1534C2×C4—48no—
1535C2×C4—84no—
1536C2×C4—88no—
1537C2×C4—88no—
1538C2×C4—164no—
1539C2×C4C22×#4112yes—
1540C2×C4C22×#4112yes—
1541C2×C4C22×#4112yes—
1542C2×C4C22×#4112yes—
1543C2×C4C22×#4112yes—
1544C2×C4C22×#4112yes—
1545C2×C4C2×2−1+412yes—
1546C2×C4#58512yes—
1547C2×C4#58512yes—
1548C2×C4#58512yes—
1549C22—22no—
1550C22—24no—
1551C22—22no—
1552C22—22no—
1553C22—24no—
1554C22—24no—
1555C22—42no—
1556C22—42no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—42no—
1561C22—42no—
1562C22—41no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22C23×#4111yescharacteristic
1571C22C22×2−1+411yescharacteristic
1572C22C2×#58511yescharacteristic
1573C22C2×#58511yescharacteristic
1574C22C2×#58511yescharacteristic
1575C22H(7,𝔽2)11yescharacteristic
1576C222−1+611yescharacteristic
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4—41no—
1592C4—42no—
1593C4—41no—
1594C4—41no—
1595C4—44no—
1596C4—42no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—44no—
1601C4—42no—
1602C4—41no—
1603C4—42no—
1604C4—44no—
1605C4—44no—
1606C4—41no—
1607C4#345514yes—
1608C4#349514yes—
1609C2—42no—
1610C2—44no—
1611C2—82no—
1612C2C2×#345511yescharacteristic
1613C2C2×#349511yescharacteristic
1614C2#6285611yescharacteristic
1615C2#6295011yescharacteristic
1616C2#6295111yescharacteristic
1617C2#6296811yescharacteristic
1618C2#6296911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2431C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42958C2semidirect
2. #42956C2semidirect
3. #42936C2semidirect
4. #42934C2semidirect
5. #42326C2semidirect
6. #42324C2semidirect
7. #39762C2semidirect
8. #39761C2semidirect
9. #39634C2semidirect
10. #39633C2semidirect
11. #38977C2semidirect
12. #38977C2semidirect
13. #38976C2semidirect
14. #38975C2semidirect
15. #38075C2semidirect
16. #38073C2semidirect
18. #38060C2semidirect
19. #37581C2semidirect
20. #37580C2semidirect
21. #36788C2semidirect
22. #36783C2semidirect
23. #35648C2semidirect
24. #35647C2semidirect
25. #35294C2semidirect
26. #35247C2semidirect
27. #35231C2semidirect
28. #35228C2semidirect
29. #35219C2semidirect
30. #35175C2semidirect
31. #34952C2semidirect
33. #34242C2semidirect
34. #34127C2semidirect
35. #34059C2semidirect

Maximal subgroups

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

subgroupindex
#429582
#429562
#429362
#429342
#423262
#423242
#397622
#397612
#396342
#396332
#389772
#389762
#389752
#380752
#380732
#380622
#380602
#375812
#375802
#367882
#367832
#356482
#356472
#352942
#352472
#352312
#352282
#352192
#351752
#349522
#349102
#342422
#341272
#340592