Finite Group Databasebeta

← #7647865

Subgroups — #7647865

Order 512.

4360 conjugacy classes of subgroups.

The subgroup lattice has 1615 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42194C214yesmaximal, complemented
2#42192C214yesmaximal, complemented
3#40583C214yesmaximal, complemented
4#40576C214yesmaximal, complemented
5#39603C212yesmaximal, complemented
6#39474C212yesmaximal, complemented
7#39152C212yesmaximal, complemented
8#38927C212yesmaximal, complemented
9#38119C212yesmaximal, complemented
10#38117C212yesmaximal, complemented
11#37888C212yesmaximal, complemented
12#37887C212yesmaximal, complemented
13#37637C211yesmaximal, characteristic, complemented
14#37636C211yesmaximal, characteristic, complemented
15#37628C211yesmaximal, characteristic, complemented
16#37627C211yesmaximal, characteristic, complemented
17#37403C212yesmaximal, complemented
18#37402C212yesmaximal, complemented
19#37351C212yesmaximal, complemented
20#37342C212yesmaximal, complemented
21#35645C212yesmaximal, complemented
22#35586C212yesmaximal, complemented
23#35314C212yesmaximal, complemented
24#35269C212yesmaximal, complemented
25#35239C211yesmaximal, characteristic, complemented
26#35208C211yesmaximal, characteristic, complemented
27#35200C211yesmaximal, characteristic, complemented
28#35199C211yesmaximal, characteristic, complemented
29#35185C211yesmaximal, characteristic, complemented
30#35184C211yesmaximal, characteristic, complemented
31#34976C211yesmaximal, characteristic
32#34947C211yesmaximal, characteristic, complemented
33#34225C211yesmaximal, characteristic, complemented
34#34125C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36C2×#533C2211yescharacteristic
37C2×C4×#41C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2864C2212yes—
40#2863C2212yes—
41#2863C2212yes—
42#2863C2212yes—
43#2862C2212yes—
44#2861C2212yes—
45#2860C2212yes—
46#2859C2212yes—
47#2857C2212yes—
48#2851C2212yes—
49#2851C2212yes—
50#2851C2212yes—
51#2837C2214yes—
52#2836C2214yes—
53#2832C2214yes—
54#2831C2214yes—
55#2797C2214yes—
56#2796C2214yes—
57#2793C2214yes—
58#2792C2214yes—
59#2791C2214yes—
60#2788C2214yes—
61#2786C2214yes—
62#2786C2214yes—
63#2783C2214yes—
64#2781C2214yes—
65#2781C2214yes—
66#2781C2214yes—
67#2779C2214yes—
68#2775C2214yes—
69#2770C2214yes—
70#2770C2214yes—
71#2770C2214yes—
72#2769C2214yes—
73#2768C2214yes—
74#2768C2214yes—
75#2767C2214yes—
76#2757C2214yes—
77#2756C2214yes—
78#2753C2214yes—
79#2747C2214yes—
80#2741C2214yes—
81#2730C2214yes—
82#2723C2214yes—
83#2721C2214yes—
84#2715C2214yes—
85#2702C2214yes—
86#2690C2214yes—
87#2666C2214yes—
88#2666C2214yes—
89#2666C2214yes—
90#2654C2214yes—
91#2654C2214yes—
92#2651C2214yes—
93#2650C2214yes—
94#2647C2212yes—
95#2647C2212yes—
96#2644C2212yes—
97#2644C2212yes—
98#2638C2214yes—
99#2637C2214yes—
100#2632C2214yes—
101#2629C2212yes—
102#2629C2212yes—
103#2628C2212yes—
104#2628C2212yes—
105#2625C2212yes—
106#2625C2212yes—
107#2625C2212yes—
108#2624C2212yes—
109#2624C2212yes—
110#2624C2212yes—
111#2621C2212yes—
112#2620C2212yes—
113#2609C2214yes—
114#2599C2214yes—
115#2582C2211yescharacteristic
116#2575C2214yes—
117#2575C2214yes—
118#2574C2214yes—
119#2573C2214yes—
120#2571C2211yescharacteristic
121#2570C2212yes—
122#2568C2211yescharacteristic
123#2567C2211yescharacteristic
124#2567C2211yescharacteristic
125#2566C2212yes—
126#2565C2212yes—
127#2564C2214yes—
128#2563C2211yescharacteristic
129#2563C2211yescharacteristic
130#2552C2211yescharacteristic
131#2552C2211yescharacteristic
132#2551C2211yescharacteristic
133#2550C2212yes—
134#2547C2211yescharacteristic
135#2546C2211yescharacteristic
136#2542C2211yescharacteristic
137#2538C2211yescharacteristic
138#2538C2211yescharacteristic
139#2537C2211yescharacteristic
140#2533C2214yes—
141#2532C2214yes—
142#2531C2214yes—
143#2530C2214yes—
144#2525C2214yes—
145#2525C2214yes—
146#2525C2214yes—
147#2524C2214yes—
148#2524C2214yes—
149#2524C2214yes—
150#2524C2214yes—
151#2523C2214yes—
152#2523C2214yes—
153#2522C2214yes—
154#2522C2214yes—
155#2521C2214yes—
156#2520C2214yes—
157#2520C2214yes—
158#2520C2214yes—
159#2519C2214yes—
160#2518C2214yes—
161#2518C2214yes—
162#2517C2214yes—
163#2517C2214yes—
164#2515C2214yes—
165#2513C2212yes—
166#2513C2212yes—
167#2512C2212yes—
168#2511C2212yes—
169#2509C2212yes—
170#2508C2212yes—
171#2508C2212yes—
172#2508C2214yes—
173#2507C2212yes—
174#2507C2212yes—
175#2506C2212yes—
176#2499C2212yes—
177#2497C2212yes—
178#2496C2212yes—
179#2496C2212yes—
180#2495C2212yes—
181#2495C2212yes—
182#2495C2212yes—
183#2491C2212yes—
184#2491C2212yes—
185#2490C2212yes—
186#2489C2212yes—
187#2485C2212yes—
188#2485C2212yes—
189#2485C2212yes—
190#2485C2212yes—
191#2469C2214yes—
192#2468C2214yes—
193#2466C2214yes—
194#2462C2214yes—
195#2460C2214yes—
196#2453C2212yes—
197#2453C2212yes—
198#2451C2212yes—
199#2451C2212yes—
200#2448C2212yes—
201#2447C2214yes—
202#2446C2212yes—
203#2442C2212yes—
204#2440C2212yes—
205#2438C2214yes—
206#2432C2212yes—
207#2429C2212yes—
208#2426C2212yes—
209#2423C2212yes—
210#2423C2212yes—
211#2421C2212yes—
212#2421C2212yes—
213#2417C2212yes—
214#2417C2212yes—
215#2407C2212yes—
216#2407C2212yes—
217#2396C2214yes—
218#2392C2214yes—
219#2370C2212yes—
220#2370C2212yes—
221#2362C2212yes—
222#2362C2212yes—
223#2357C2211yescharacteristic
224#2357C2212yes—
225#2357C2212yes—
226#2357C2211yescharacteristic
227#2356C2212yes—
228#2351C2211yescharacteristic
229#2351C2211yescharacteristic
230#2351C2212yes—
231#2347C2211yescharacteristic
232#2347C2212yes—
233#2347C2212yes—
234#2347C2212yes—
235#2347C2211yescharacteristic
236#2346C2212yes—
237#2341C2211yescharacteristic
238#2341C2211yescharacteristic
239#2331C2212yes—
240#2331C2212yes—
241#2330C2212yes—
242#2330C2212yes—
243#2327C2212yes—
244#2326C2212yes—
245#2323C2212yes—
246#2323C2212yes—
247#2323C2212yes—
248#2323C2212yes—
249#2320C2211yescharacteristic
250#2320C2211yescharacteristic
251#2320C2212yes—
252#2320C2212yes—
253#2320C2212yes—
254#2319C2211yescharacteristic
255#2319C2211yescharacteristic
256#2318C2212yes—
257#2318C2212yes—
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2314C2212yes—
261#2314C2212yes—
262#2314C2212yes—
263#2314C2212yes—
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yes—
276#2297C2212yes—
277#2295C2211yescharacteristic
278#2295C2211yescharacteristic
279#2293C2211yescharacteristic
280#2293C2211yescharacteristic
281#2293C2211yescharacteristic
282#2293C2211yescharacteristic
283#2293C2212yes—
284#2293C2212yes—
285#2290C2212yes—
286#2290C2212yes—
287#2285C2212yes—
288#2285C2212yes—
289#2285C2211yescharacteristic
290#2283C2212yes—
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2276C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#124C2312yes—
314C2×#124C2314yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C4×#41—28no—
325C4×#41—28no—
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×#117C2312yes—
350C2×#117C2311yescharacteristic
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C42C2312yes—
364C22×C42C2312yes—
365C22×C42C2312yes—
366C22×C42C2311yescharacteristic
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#392C2314yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#391C2311yescharacteristic
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2311yescharacteristic
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2314yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
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#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#383C2312yes—
683#383C2312yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2312yes—
688#383C2312yes—
689#383C2312yes—
690#383C2314yes—
691#383C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#382C2314yes—
706#382C2314yes—
707#382C2311yescharacteristic
708#382C2314yes—
709#382C2312yes—
710#382C2314yes—
711#381C2312yes—
712#381C2312yes—
713#381C2312yes—
714#381C2312yes—
715#381C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2311yescharacteristic
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808C2×#95C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—24no—
816C2×#41—42no—
817C2×#41—42no—
818C2×#41—42no—
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2414yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845#126—84no—
846#126—84no—
847#125—28no—
848#125—44no—
849#125—44no—
850#125—84no—
851#124—44no—
852#124—84no—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—28no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859C22⋊Q8—84no—
860#121—44no—
861#121—44no—
862C4×Q8—24no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—42no—
871C4×Q8—42no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—82no—
875C4×Q8—82no—
876C4×D4—28no—
877C4×D4—28no—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—24no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—24no—
884C4×D4—84no—
885#117—24no—
886#117—24no—
887#117—28no—
888#117—28no—
889#117—28no—
890#117—44no—
891#117—44no—
892#117—42no—
893#117—42no—
894#117—44no—
895#117—44no—
896#117—82no—
897C2×C4⋊C4—42no—
898C2×C4⋊C4—42no—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
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×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C42—28no—
1018C2×C42—28no—
1019C2×C42—44no—
1020C2×C42#4118yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145C24C2512yes—
1146C24C2512yes—
1147C24C2511yescharacteristic
1148#41—416no—
1149#41—416no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q82−1+414yes—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—24no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4C2×#4114yes—
1211C22×C4C2×#4114yes—
1212C22×C4C2×#4114yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2514yes—
1228C22×C4C2512yes—
1229C22×C4C2514yes—
1230C22×C4C2514yes—
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—28no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C42—24no—
1364C42—24no—
1365C42—24no—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—28no—
1370C42—24no—
1371C42—24no—
1372C42—22no—
1373C42—22no—
1374C42—24no—
1375C42—24no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—24no—
1383C42—24no—
1384C42—42no—
1385C42—42no—
1386C42—41no—
1387C42—41no—
1388C42—42no—
1389C42—42no—
1390C42—44no—
1391C42—42no—
1392C42—42no—
1393C42—44no—
1394C42—44no—
1395C42—41no—
1396C42—41no—
1397C42—44no—
1398C42—44no—
1399C42—42no—
1400C42—42no—
1401C42C2×#4114yes—
1402C42C2×#4114yes—
1403C42C2×#4114yes—
1404C42C2×#4114yes—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23C22×#4112yes—
1426C23C2611yescharacteristic
1427Q8—28no—
1428Q8—48no—
1429Q8—48no—
1430Q8—44no—
1431Q8—164no—
1432D4—48no—
1433D4—48no—
1434D4—44no—
1435D4—44no—
1436D4—88no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—28no—
1448C2×C4—28no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—24no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—44no—
1525C2×C4—48no—
1526C2×C4—48no—
1527C2×C4—48no—
1528C2×C4—48no—
1529C2×C4—84no—
1530C2×C4—84no—
1531C2×C4—84no—
1532C2×C4—84no—
1533C2×C4C22×#4112yes—
1534C2×C4C22×#4112yes—
1535C2×C4C22×#4112yes—
1536C2×C4C22×#4112yes—
1537C2×C4C22×#4112yes—
1538C2×C4C22×#4112yes—
1539C2×C4C2×2−1+414yes—
1540C2×C4C2×2−1+412yes—
1541C2×C4#58512yes—
1542C2×C4#58512yes—
1543C2×C4#58512yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22C23×#4111yescharacteristic
1566C22C22×2−1+411yescharacteristic
1567C22C2×#58511yescharacteristic
1568C22C2×#58511yescharacteristic
1569C22C2×#58511yescharacteristic
1570C22H(7,𝔽2)11yescharacteristic
1571C222−1+611yescharacteristic
1572C4—22no—
1573C4—24no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—44no—
1581C4—41no—
1582C4—41no—
1583C4—42no—
1584C4—42no—
1585C4—44no—
1586C4—42no—
1587C4—41no—
1588C4—41no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—44no—
1595C4—41no—
1596C4—42no—
1597C4—41no—
1598C4—44no—
1599C4—41no—
1600C4—41no—
1601C4—42no—
1602C4#345514yes—
1603C4#349514yes—
1604C2—42no—
1605C2—82no—
1606C2—82no—
1607C2C2×#345511yescharacteristic
1608C2C2×#349511yescharacteristic
1609C2#6285611yescharacteristic
1610C2#6293811yescharacteristic
1611C2#6293911yescharacteristic
1612C2#6295211yescharacteristic
1613C2#6295311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34976C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42194C2semidirect
2. #42192C2semidirect
3. #40583C2semidirect
4. #40576C2semidirect
5. #39603C2semidirect
6. #39474C2semidirect
7. #39152C2semidirect
8. #38927C2semidirect
9. #38119C2semidirect
10. #38117C2semidirect
11. #37888C2semidirect
12. #37887C2semidirect
13. #37637C2semidirect
14. #37636C2semidirect
15. #37628C2semidirect
16. #37627C2semidirect
17. #37403C2semidirect
18. #37402C2semidirect
19. #37351C2semidirect
20. #37342C2semidirect
21. #35645C2semidirect
22. #35586C2semidirect
23. #35314C2semidirect
24. #35269C2semidirect
25. #35239C2semidirect
26. #35208C2semidirect
27. #35200C2semidirect
28. #35199C2semidirect
29. #35185C2semidirect
30. #35184C2semidirect
32. #34947C2semidirect
33. #34225C2semidirect
34. #34125C2semidirect
35. #34060C2semidirect

Maximal subgroups

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

subgroupindex
#421942
#421922
#405832
#405762
#396032
#394742
#391522
#389272
#381192
#381172
#378882
#378872
#376372
#376362
#376282
#376272
#374032
#374022
#373512
#373422
#356452
#355862
#353142
#352692
#352392
#352082
#352002
#351992
#351852
#351842
#349762
#349472
#342252
#341252
#340602