Finite Group Databasebeta

← #8094501

Subgroups — #8094501

Order 512.

4214 conjugacy classes of subgroups.

The subgroup lattice has 1597 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53155C212yesmaximal, complemented
2#53142C212yesmaximal, complemented
3#53139C212yesmaximal, complemented
4#53118C212yesmaximal, complemented
5#53034C212yesmaximal, complemented
6#53034C212yesmaximal, complemented
7#53028C212yesmaximal, complemented
8#53012C212yesmaximal, complemented
9#52766C214yesmaximal, complemented
10#52528C214yesmaximal, complemented
11#46082C212yesmaximal, complemented
12#46075C212yesmaximal, complemented
13#46045C212yesmaximal, complemented
14#46045C212yesmaximal, complemented
15#46041C214yesmaximal, complemented
16#45983C214yesmaximal, complemented
17#45690C212yesmaximal, complemented
18#45661C212yesmaximal, complemented
19#45611C212yesmaximal, complemented
20#45517C212yesmaximal, complemented
21#35673C211yesmaximal, characteristic
22#35668C211yesmaximal, characteristic, complemented
23#35662C211yesmaximal, characteristic, complemented
24#35630C211yesmaximal, characteristic, complemented
25#35629C211yesmaximal, characteristic
26#35566C211yesmaximal, characteristic, complemented
27#35339C211yesmaximal, characteristic, complemented
28#35312C211yesmaximal, characteristic
29#35307C211yesmaximal, characteristic
30#35257C211yesmaximal, characteristic
31#35167C211yesmaximal, characteristic, complemented
32#35160C211yesmaximal, characteristic
33#34947C211yesmaximal, characteristic
34#34815C211yesmaximal, characteristic, complemented
35C2×#2514C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#519C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2864C2212yes—
43#2864C2212yes—
44#2862C2212yes—
45#2861C2212yes—
46#2857C2212yes—
47#2857C2214yes—
48#2855C2212yes—
49#2855C2212yes—
50#2852C2214yes—
51#2851C2212yes—
52#2843C2214yes—
53#2843C2214yes—
54#2839C2214yes—
55#2839C2214yes—
56#2838C2214yes—
57#2838C2214yes—
58#2838C2214yes—
59#2838C2214yes—
60#2836C2214yes—
61#2836C2214yes—
62#2834C2214yes—
63#2833C2214yes—
64#2833C2214yes—
65#2833C2214yes—
66#2833C2214yes—
67#2833C2214yes—
68#2833C2214yes—
69#2831C2214yes—
70#2821C2214yes—
71#2817C2214yes—
72#2793C2214yes—
73#2793C2214yes—
74#2791C2214yes—
75#2791C2214yes—
76#2789C2214yes—
77#2789C2214yes—
78#2787C2214yes—
79#2787C2214yes—
80#2777C2214yes—
81#2777C2214yes—
82#2776C2214yes—
83#2776C2214yes—
84#2776C2214yes—
85#2776C2214yes—
86#2775C2214yes—
87#2774C2214yes—
88#2774C2214yes—
89#2770C2214yes—
90#2769C2214yes—
91#2769C2214yes—
92#2766C2214yes—
93#2766C2214yes—
94#2765C2214yes—
95#2764C2214yes—
96#2762C2214yes—
97#2762C2214yes—
98#2759C2214yes—
99#2759C2214yes—
100#2758C2214yes—
101#2758C2214yes—
102#2745C2214yes—
103#2738C2214yes—
104#2738C2214yes—
105#2729C2214yes—
106#2721C2214yes—
107#2713C2214yes—
108#2713C2214yes—
109#2690C2214yes—
110#2689C2214yes—
111#2677C2214yes—
112#2659C2214yes—
113#2647C2212yes—
114#2647C2212yes—
115#2643C2214yes—
116#2642C2212yes—
117#2640C2212yes—
118#2629C2212yes—
119#2628C2212yes—
120#2625C2212yes—
121#2625C2212yes—
122#2584C2212yes—
123#2584C2212yes—
124#2582C2212yes—
125#2582C2212yes—
126#2581C2212yes—
127#2581C2212yes—
128#2570C2212yes—
129#2570C2212yes—
130#2570C2212yes—
131#2570C2212yes—
132#2569C2214yes—
133#2569C2214yes—
134#2568C2212yes—
135#2568C2211yescharacteristic
136#2567C2212yes—
137#2567C2211yescharacteristic
138#2567C2212yes—
139#2566C2211yescharacteristic
140#2566C2211yescharacteristic
141#2565C2212yes—
142#2565C2211yescharacteristic
143#2565C2212yes—
144#2565C2211yescharacteristic
145#2564C2212yes—
146#2564C2212yes—
147#2563C2211yescharacteristic
148#2552C2212yes—
149#2552C2212yes—
150#2552C2212yes—
151#2551C2212yes—
152#2551C2212yes—
153#2551C2212yes—
154#2550C2212yes—
155#2550C2212yes—
156#2550C2212yes—
157#2550C2212yes—
158#2550C2212yes—
159#2550C2212yes—
160#2549C2214yes—
161#2546C2212yes—
162#2542C2211yescharacteristic
163#2514C2212yes—
164#2514C2212yes—
165#2514C2212yes—
166#2514C2212yes—
167#2514C2212yes—
168#2514C2212yes—
169#2514C2212yes—
170#2514C2212yes—
171#2514C2212yes—
172#2514C2212yes—
173#2514C2212yes—
174#2514C2212yes—
175#2514C2212yes—
176#2514C2212yes—
177#2514C2212yes—
178#2513C2212yes—
179#2513C2212yes—
180#2513C2212yes—
181#2512C2212yes—
182#2511C2212yes—
183#2511C2212yes—
184#2511C2212yes—
185#2511C2212yes—
186#2511C2212yes—
187#2510C2214yes—
188#2510C2214yes—
189#2509C2211yescharacteristic
190#2509C2211yescharacteristic
191#2508C2211yescharacteristic
192#2508C2211yescharacteristic
193#2507C2211yescharacteristic
194#2507C2211yescharacteristic
195#2506C2211yescharacteristic
196#2506C2211yescharacteristic
197#2505C2212yes—
198#2505C2212yes—
199#2498C2214yes—
200#2498C2214yes—
201#2497C2212yes—
202#2496C2212yes—
203#2495C2212yes—
204#2495C2212yes—
205#2495C2212yes—
206#2494C2212yes—
207#2494C2212yes—
208#2494C2212yes—
209#2493C2214yes—
210#2493C2214yes—
211#2492C2212yes—
212#2492C2212yes—
213#2489C2212yes—
214#2489C2212yes—
215#2488C2214yes—
216#2488C2214yes—
217#2473C2212yes—
218#2473C2212yes—
219#2454C2212yes—
220#2453C2212yes—
221#2453C2212yes—
222#2453C2212yes—
223#2453C2212yes—
224#2453C2212yes—
225#2452C2212yes—
226#2451C2212yes—
227#2451C2212yes—
228#2451C2212yes—
229#2451C2212yes—
230#2451C2212yes—
231#2450C2214yes—
232#2449C2214yes—
233#2448C2212yes—
234#2448C2212yes—
235#2447C2212yes—
236#2447C2212yes—
237#2446C2212yes—
238#2446C2212yes—
239#2446C2212yes—
240#2446C2212yes—
241#2440C2214yes—
242#2438C2214yes—
243#2438C2214yes—
244#2438C2214yes—
245#2438C2214yes—
246#2423C2212yes—
247#2423C2212yes—
248#2421C2212yes—
249#2421C2212yes—
250#2419C2214yes—
251#2419C2214yes—
252#2417C2212yes—
253#2417C2212yes—
254#2402C2212yes—
255#2402C2212yes—
256C2×#401C2212yes—
257#2396C2212yes—
258#2396C2212yes—
259C2×#400C2212yes—
260#2383C2214yes—
261#2381C2214yes—
262#2381C2214yes—
263#2378C2214yes—
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2316C2211yescharacteristic
268#2316C2211yescharacteristic
269#2316C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2310C2211yescharacteristic
274#2310C2211yescharacteristic
275C4×#125C2212yes—
276C4×#125C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285C2×#391C2211yescharacteristic
286C2×#391C2211yescharacteristic
287C2×#391C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#387C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293C2×#383C2212yes—
294C2×#382C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#544—44no—
302#544—44no—
303#536—44no—
304#533—44no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2314yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334#519—44no—
335C4×#41—44no—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2314yes—
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2312yes—
367C22×C42C2312yes—
368#401C2314yes—
369#401C2314yes—
370#401C2314yes—
371#401C2314yes—
372#401C2314yes—
373#401C2314yes—
374#401C2314yes—
375#401C2314yes—
376#401C2314yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2312yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#399C2312yes—
420#399C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2314yes—
454#398C2312yes—
455#398C2314yes—
456#398C2312yes—
457#398C2314yes—
458#398C2312yes—
459#398C2314yes—
460#398C2312yes—
461#398C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#396C2312yes—
478#396C2312yes—
479#396C2312yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2312yes—
489#395C2312yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#393C2312yes—
500#393C2312yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2314yes—
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2314yes—
531#391C2314yes—
532#391C2312yes—
533#391C2312yes—
534#391C2314yes—
535#391C2314yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2311yescharacteristic
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
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#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2314yes—
708#384C2312yes—
709#384C2312yes—
710#384C2314yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#383C2314yes—
714#383C2314yes—
715#383C2314yes—
716#383C2314yes—
717#383C2314yes—
718#383C2314yes—
719#383C2314yes—
720#383C2314yes—
721#383C2314yes—
722#382C2312yes—
723#382C2312yes—
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#382C2311yescharacteristic
727#382C2312yes—
728#382C2311yescharacteristic
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2314yes—
734#382C2314yes—
735#382C2312yes—
736#382C2312yes—
737#382C2311yescharacteristic
738#382C2311yescharacteristic
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#381C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759#380C2314yes—
760#380C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802#376C2312yes—
803C2×#95C2311yescharacteristic
804C2×#95C2311yescharacteristic
805C2×#95C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C22×Q8—24no—
820C22×Q8—24no—
821C22×Q8—24no—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2414yes—
828C22×Q8C2414yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C4⋊Q8—48no—
846C4⋊Q8—42no—
847C4⋊Q8—42no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—48no—
854#126—48no—
855#125—42no—
856#125—42no—
857#125—44no—
858#125—44no—
859#125—44no—
860#125—44no—
861#125—44no—
862#125—44no—
863#124—44no—
864#123—48no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867C22⋊Q8—48no—
868C22⋊Q8—48no—
869C22⋊Q8—44no—
870C22⋊Q8—48no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—42no—
877C4×Q8—42no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×D4—42no—
883C4×D4—42no—
884C4×D4—44no—
885C4×D4—44no—
886#117—24no—
887#117—24no—
888#117—24no—
889#117—24no—
890#117—24no—
891#117—24no—
892#117—24no—
893#117—44no—
894#117—48no—
895C2×C4⋊C4—24no—
896C2×C4⋊C4—24no—
897C2×C4⋊C4—24no—
898C2×C4⋊C4—42no—
899C2×C4⋊C4—42no—
900C2×C4⋊C4—44no—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C42—24no—
1015C2×C42—24no—
1016C2×C42—24no—
1017C2×C42—44no—
1018C2×C42—44no—
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2414yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050#95C2411yescharacteristic
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2414yes—
1058#95C2414yes—
1059#95C2411yescharacteristic
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
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—
1145#95C2414yes—
1146C24C2512yes—
1147C24C2511yescharacteristic
1148#41—416no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—24no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—44no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—44no—
1170C2×Q8—416no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—24no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—24no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—42no—
1204C22×C4—41no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4—41no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4H(5,𝔽2)14yes—
1217C22×C42−1+414yes—
1218C22×C42−1+414yes—
1219C22×C4C2514yes—
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2514yes—
1229C22×C4C2514yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—28no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—44no—
1286C4⋊C4—41no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C42—22no—
1366C42—22no—
1367C42—22no—
1368C42—22no—
1369C42—24no—
1370C42—24no—
1371C42—24no—
1372C42—24no—
1373C42—24no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—24no—
1383C42—24no—
1384C42—28no—
1385C42—44no—
1386C42—42no—
1387C42—42no—
1388C42—42no—
1389C42—42no—
1390C42—44no—
1391C42—44no—
1392C42—44no—
1393C42—42no—
1394C42—42no—
1395C42—44no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23C2×H(5,𝔽2)12yes—
1408C23C2×2−1+412yes—
1409C23C2×2−1+412yes—
1410C23C2611yescharacteristic
1411Q8—48no—
1412Q8—48no—
1413Q8—44no—
1414Q8—84no—
1415Q8—84no—
1416Q8—164no—
1417Q8—164no—
1418D4—48no—
1419D4—44no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—48no—
1514C2×C4—48no—
1515C2×C4—84no—
1516C2×C4—84no—
1517C2×C4—82no—
1518C2×C4—82no—
1519C2×C4—84no—
1520C2×C4—84no—
1521C2×C4—82no—
1522C2×C4—82no—
1523C2×C4—84no—
1524C2×C4#563116yes—
1525C2×C4C2×H(5,𝔽2)12yes—
1526C2×C4C2×H(5,𝔽2)12yes—
1527C2×C4C2×2−1+412yes—
1528C2×C4C2×2−1+412yes—
1529C2×C4C2×2−1+412yes—
1530C2×C4C2×2−1+412yes—
1531C2×C4#58512yes—
1532C2×C4#58512yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22C2×#56314yes—
1547C22C22×H(5,𝔽2)11yescharacteristic
1548C22C22×2−1+411yescharacteristic
1549C22C22×2−1+411yescharacteristic
1550C22C2×#58511yescharacteristic
1551C22C2×#58511yescharacteristic
1552C222−1+611yescharacteristic
1553C222−1+611yescharacteristic
1554C4—22no—
1555C4—22no—
1556C4—41no—
1557C4—42no—
1558C4—44no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—42no—
1565C4—42no—
1566C4—41no—
1567C4—41no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—42no—
1575C4—42no—
1576C4—44no—
1577C4—44no—
1578C4—42no—
1579C4—44no—
1580C4—42no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4C2×#56314yes—
1586C4C2×#56314yes—
1587C2—24no—
1588C2—82no—
1589C2C22×#56311yescharacteristic
1590C2#6283011yescharacteristic
1591C2#6288811yescharacteristic
1592C2#6292811yescharacteristic
1593C2#6293211yescharacteristic
1594C2#6293211yescharacteristic
1595C2#6295911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53155C2semidirect
2. #53142C2semidirect
3. #53139C2semidirect
4. #53118C2semidirect
5. #53034C2semidirect
6. #53034C2semidirect
7. #53028C2semidirect
8. #53012C2semidirect
9. #52766C2semidirect
10. #52528C2semidirect
11. #46082C2semidirect
12. #46075C2semidirect
13. #46045C2semidirect
14. #46045C2semidirect
15. #46041C2semidirect
16. #45983C2semidirect
17. #45690C2semidirect
18. #45661C2semidirect
19. #45611C2semidirect
20. #45517C2semidirect
22. #35668C2semidirect
23. #35662C2semidirect
24. #35630C2semidirect
26. #35566C2semidirect
27. #35339C2semidirect
31. #35167C2semidirect
34. #34815C2semidirect
35. C2×#2514C2semidirect

Maximal subgroups

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

subgroupindex
#531552
#531422
#531392
#531182
#530342
#530282
#530122
#527662
#525282
#460822
#460752
#460452
#460412
#459832
#456902
#456612
#456112
#455172
#356732
#356682
#356622
#356302
#356292
#355662
#353392
#353122
#353072
#352572
#351672
#351602
#349472
#348152
C2×#25142