Finite Group Databasebeta

← #7650735

Subgroups — #7650735

Order 512.

4264 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42755C212yesmaximal, complemented
2#42744C212yesmaximal, complemented
3#42733C212yesmaximal, complemented
4#42667C212yesmaximal, complemented
5#42663C212yesmaximal, complemented
6#42663C212yesmaximal, complemented
7#42614C212yesmaximal, complemented
8#42469C212yesmaximal, complemented
9#41493C214yesmaximal, complemented
10#41447C214yesmaximal, complemented
11#40130C212yesmaximal, complemented
12#40082C212yesmaximal, complemented
13#39928C212yesmaximal, complemented
14#39907C212yesmaximal, complemented
15#39217C212yesmaximal, complemented
16#39157C212yesmaximal, complemented
17#39003C212yesmaximal, complemented
18#38943C212yesmaximal, complemented
19#38599C214yesmaximal, complemented
20#37906C214yesmaximal, complemented
21#35629C211yesmaximal, characteristic
22#35627C211yesmaximal, characteristic, complemented
23#35585C211yesmaximal, characteristic, complemented
24#35566C211yesmaximal, characteristic, complemented
25#35557C211yesmaximal, characteristic
26#35555C211yesmaximal, characteristic, complemented
27#35267C211yesmaximal, characteristic
28#35257C211yesmaximal, characteristic
29#35160C211yesmaximal, characteristic
30C2×#2571C211yesmaximal, characteristic, complemented
31#34815C211yesmaximal, characteristic, complemented
32#34745C211yesmaximal, characteristic
33#34271C211yesmaximal, characteristic, complemented
34#34215C211yesmaximal, characteristic, complemented
35#34189C211yesmaximal, characteristic
36C2×#544C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2863C2212yes—
40#2860C2212yes—
41#2857C2212yes—
42#2852C2214yes—
43#2851C2212yes—
44#2839C2214yes—
45#2833C2214yes—
46#2831C2214yes—
47#2831C2214yes—
48#2798C2214yes—
49#2794C2214yes—
50#2789C2214yes—
51#2783C2214yes—
52#2783C2214yes—
53#2776C2214yes—
54#2776C2214yes—
55#2776C2214yes—
56#2769C2214yes—
57#2769C2214yes—
58#2769C2214yes—
59#2762C2214yes—
60#2762C2214yes—
61#2762C2214yes—
62#2758C2214yes—
63#2758C2214yes—
64#2754C2214yes—
65#2744C2214yes—
66#2744C2214yes—
67#2744C2214yes—
68#2739C2214yes—
69#2725C2214yes—
70#2725C2214yes—
71#2721C2214yes—
72#2719C2214yes—
73#2719C2214yes—
74#2716C2214yes—
75#2713C2214yes—
76#2698C2214yes—
77#2689C2214yes—
78#2689C2214yes—
79#2689C2214yes—
80#2666C2214yes—
81#2666C2214yes—
82#2664C2214yes—
83#2655C2214yes—
84#2655C2214yes—
85#2654C2214yes—
86#2652C2214yes—
87#2652C2214yes—
88#2650C2214yes—
89#2645C2212yes—
90#2645C2214yes—
91#2644C2212yes—
92#2643C2214yes—
93#2642C2214yes—
94#2637C2214yes—
95#2629C2212yes—
96#2628C2212yes—
97#2584C2212yes—
98#2584C2212yes—
99#2571C2212yes—
100#2571C2212yes—
101#2571C2212yes—
102#2571C2212yes—
103#2571C2212yes—
104#2571C2212yes—
105#2571C2212yes—
106#2571C2212yes—
107#2571C2212yes—
108#2571C2212yes—
109#2570C2212yes—
110#2570C2212yes—
111#2570C2212yes—
112#2570C2212yes—
113#2569C2214yes—
114#2567C2212yes—
115#2552C2212yes—
116#2552C2212yes—
117#2552C2212yes—
118#2551C2212yes—
119#2550C2212yes—
120#2550C2212yes—
121#2549C2214yes—
122#2546C2212yes—
123#2533C2214yes—
124#2533C2214yes—
125#2528C2214yes—
126#2528C2214yes—
127#2524C2214yes—
128#2519C2214yes—
129#2519C2214yes—
130#2514C2212yes—
131#2514C2212yes—
132#2514C2212yes—
133#2513C2212yes—
134#2513C2212yes—
135#2513C2212yes—
136#2512C2212yes—
137#2512C2212yes—
138#2512C2212yes—
139#2511C2212yes—
140#2511C2212yes—
141#2511C2212yes—
142#2510C2214yes—
143#2510C2214yes—
144#2510C2214yes—
145#2509C2212yes—
146#2509C2212yes—
147#2509C2212yes—
148#2509C2212yes—
149#2509C2211yescharacteristic
150#2509C2211yescharacteristic
151#2508C2212yes—
152#2508C2212yes—
153#2508C2212yes—
154#2508C2211yescharacteristic
155#2508C2212yes—
156#2508C2211yescharacteristic
157#2507C2212yes—
158#2507C2212yes—
159#2507C2212yes—
160#2507C2211yescharacteristic
161#2507C2211yescharacteristic
162#2507C2212yes—
163#2506C2212yes—
164#2506C2212yes—
165#2506C2212yes—
166#2506C2212yes—
167#2506C2211yescharacteristic
168#2506C2211yescharacteristic
169#2505C2214yes—
170#2505C2212yes—
171#2505C2214yes—
172#2505C2212yes—
173#2497C2212yes—
174#2497C2212yes—
175#2497C2212yes—
176#2497C2212yes—
177#2496C2214yes—
178#2496C2212yes—
179#2496C2212yes—
180#2496C2212yes—
181#2496C2212yes—
182#2495C2212yes—
183#2495C2212yes—
184#2495C2212yes—
185#2495C2212yes—
186#2494C2212yes—
187#2494C2212yes—
188#2494C2212yes—
189#2494C2212yes—
190#2489C2214yes—
191#2489C2214yes—
192#2481C2214yes—
193#2481C2214yes—
194#2481C2214yes—
195#2473C2212yes—
196#2473C2214yes—
197#2473C2214yes—
198#2473C2212yes—
199#2462C2214yes—
200#2454C2212yes—
201#2454C2211yescharacteristic
202#2454C2211yescharacteristic
203#2453C2211yescharacteristic
204#2453C2211yescharacteristic
205#2453C2212yes—
206#2452C2211yescharacteristic
207#2452C2212yes—
208#2452C2211yescharacteristic
209#2451C2212yes—
210#2451C2211yescharacteristic
211#2451C2211yescharacteristic
212#2450C2214yes—
213#2450C2212yes—
214#2450C2212yes—
215#2449C2212yes—
216#2449C2212yes—
217#2449C2214yes—
218#2442C2214yes—
219#2440C2214yes—
220#2429C2214yes—
221#2402C2212yes—
222#2402C2212yes—
223#2396C2212yes—
224#2396C2212yes—
225C2×#400C2212yes—
226C2×#400C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2370C2212yes—
230#2370C2212yes—
231#2369C2212yes—
232#2369C2212yes—
233#2368C2214yes—
234#2368C2214yes—
235#2365C2212yes—
236#2365C2212yes—
237#2357C2212yes—
238#2357C2212yes—
239#2356C2212yes—
240#2356C2212yes—
241#2355C2212yes—
242#2355C2212yes—
243#2355C2212yes—
244#2355C2212yes—
245#2353C2214yes—
246#2353C2214yes—
247#2334C2214yes—
248#2334C2214yes—
249#2331C2212yes—
250#2331C2212yes—
251#2330C2214yes—
252#2329C2214yes—
253#2320C2214yes—
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2316C2211yescharacteristic
259#2316C2211yescharacteristic
260#2316C2211yescharacteristic
261#2314C2212yes—
262#2314C2212yes—
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×C22⋊Q8C2214yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274#2297C2211yescharacteristic
275#2297C2211yescharacteristic
276#2296C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282C2×#389C2211yescharacteristic
283C2×#389C2211yescharacteristic
284C2×#389C2212yes—
285#2285C2211yescharacteristic
286C2×#384C2211yescharacteristic
287#2283C2212yes—
288#2283C2212yes—
289C2×#382C2212yes—
290C2×#382C2211yescharacteristic
291C2×#382C2211yescharacteristic
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#544—28no—
301#533—28no—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2314yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2311yescharacteristic
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C4×#41—28no—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2314yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2311yescharacteristic
336C2×#117C2311yescharacteristic
337C2×#117C2311yescharacteristic
338C2×#117C2311yescharacteristic
339C2×#117C2311yescharacteristic
340C2×#117C2312yes—
341C2×#117C2311yescharacteristic
342C2×#117C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2312yes—
352C22×C4⋊C4C2312yes—
353C22×C4⋊C4C2312yes—
354C22×C42C2312yes—
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358C22×C42C2312yes—
359#401C2314yes—
360#401C2314yes—
361#401C2314yes—
362#401C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
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#400C2312yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#399C2314yes—
407#399C2312yes—
408#399C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2312yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2314yes—
431#398C2312yes—
432#398C2312yes—
433#398C2312yes—
434#398C2312yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2312yes—
460#396C2312yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2312yes—
467#395C2312yes—
468#393C2312yes—
469#393C2312yes—
470#393C2314yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2314yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#387C2312yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
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#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#384C2314yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#383C2314yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2314yes—
710#382C2314yes—
711#382C2314yes—
712#382C2314yes—
713#382C2312yes—
714#382C2314yes—
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#381C2314yes—
718#381C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
800#376C2314yes—
801#376C2314yes—
802#376C2312yes—
803C2×#95C2312yes—
804C2×#95C2312yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2311yescharacteristic
810C2×#95C2311yescharacteristic
811C2×#95C2312yes—
812C43C2312yes—
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—24no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×D4C2412yes—
821C22×D4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C4⋊Q8—24no—
837C4⋊Q8—24no—
838C4⋊Q8—28no—
839C4⋊Q8—28no—
840C4⋊Q8—84no—
841#126—48no—
842#126—48no—
843#126—84no—
844#126—84no—
845#125—24no—
846#125—24no—
847#125—28no—
848#125—28no—
849#125—44no—
850#125—44no—
851#125—48no—
852#125—84no—
853#125—84no—
854C22⋊Q8—28no—
855C22⋊Q8—28no—
856C22⋊Q8—216no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859C22⋊Q8—84no—
860C4×Q8—24no—
861C4×Q8—24no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—48no—
865C4×D4—24no—
866C4×D4—24no—
867C4×D4—28no—
868C4×D4—28no—
869#117—24no—
870#117—24no—
871#117—24no—
872#117—24no—
873#117—24no—
874#117—24no—
875#117—28no—
876#117#4118yes—
877C2×C4⋊C4—24no—
878C2×C4⋊C4—24no—
879C2×C4⋊C4—24no—
880C2×C4⋊C4—24no—
881C2×C4⋊C4—42no—
882C2×C4⋊C4—42no—
883C2×C4⋊C4—44no—
884C2×C4⋊C4—82no—
885C2×C4⋊C4—82no—
886C2×C4⋊C4—82no—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C42—24no—
1004C2×C42—24no—
1005C2×C42—24no—
1006C2×C42—28no—
1007C2×C42—44no—
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2414yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2411yescharacteristic
1046#95C2411yescharacteristic
1047#95C2414yes—
1048#95C2414yes—
1049#95C2411yescharacteristic
1050#95C2411yescharacteristic
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2414yes—
1054#95C2414yes—
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
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#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
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#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135C24C2512yes—
1136C24C2511yescharacteristic
1137#41—416no—
1138C2×Q8—22no—
1139C2×Q8—24no—
1140C2×Q8—24no—
1141C2×Q8—28no—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—44no—
1145C2×Q8—42no—
1146C2×Q8—42no—
1147C2×Q8—44no—
1148C2×Q8—42no—
1149C2×Q8—42no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—41no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—41no—
1193C22×C4—42no—
1194C22×C4—41no—
1195C22×C4C2×#4114yes—
1196C22×C42−1+414yes—
1197C22×C42−1+414yes—
1198C22×C4C2512yes—
1199C22×C4C2514yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
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—22no—
1265C4⋊C4—22no—
1266C4⋊C4—28no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—44no—
1277C4⋊C4—41no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4C2×#4114yes—
1321C4⋊C4C2×#4114yes—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4C2×#4118yes—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—24no—
1352C42—24no—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—24no—
1358C42—24no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—24no—
1364C42—24no—
1365C42—24no—
1366C42—24no—
1367C42—28no—
1368C42—44no—
1369C42—44no—
1370C42—42no—
1371C42—44no—
1372C42—44no—
1373C42—44no—
1374C42—44no—
1375C42—42no—
1376C42—42no—
1377C42—44no—
1378C42—44no—
1379C42—44no—
1380C42—42no—
1381C42C2×#4118yes—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23C22×#4112yes—
1394C23C2×2−1+412yes—
1395C23C2×2−1+412yes—
1396C23C2611yescharacteristic
1397Q8—44no—
1398Q8—88no—
1399Q8—84no—
1400Q8—84no—
1401D4—48no—
1402D4—44no—
1403C2×C4—28no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—24no—
1426C2×C4—21no—
1427C2×C4—21no—
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—24no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—44no—
1494C2×C4—48no—
1495C2×C4—84no—
1496C2×C4—84no—
1497C2×C4—82no—
1498C2×C4—82no—
1499C2×C4—84no—
1500C2×C4—82no—
1501C2×C4—82no—
1502C2×C4—84no—
1503C2×C4—84no—
1504C2×C4—84no—
1505C2×C4#541116yes—
1506C2×C4C22×#4114yes—
1507C2×C4C22×#4114yes—
1508C2×C4C22×#4112yes—
1509C2×C4C22×#4112yes—
1510C2×C4C2×2−1+412yes—
1511C2×C4C2×2−1+412yes—
1512C2×C4C2×2−1+412yes—
1513C2×C4C2×2−1+412yes—
1514C2×C4#58512yes—
1515C2×C4#58512yes—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22C2×#54114yes—
1530C22C23×#4111yescharacteristic
1531C22C22×2−1+411yescharacteristic
1532C22C22×2−1+411yescharacteristic
1533C22C2×#58511yescharacteristic
1534C22C2×#58511yescharacteristic
1535C22H(7,𝔽2)11yescharacteristic
1536C222−1+611yescharacteristic
1537C4—24no—
1538C4—24no—
1539C4—22no—
1540C4—22no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—44no—
1545C4—41no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—42no—
1554C4—42no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C4—41no—
1561C4—41no—
1562C4—42no—
1563C4—44no—
1564C4—42no—
1565C4—42no—
1566C4—44no—
1567C4—44no—
1568C4C2×#54114yes—
1569C4C2×#54114yes—
1570C2—24no—
1571C2—82no—
1572C2C22×#54111yescharacteristic
1573C2#6282511yescharacteristic
1574C2#6287711yescharacteristic
1575C2#6293211yescharacteristic
1576C2#6296211yescharacteristic
1577C2#6299411yescharacteristic
1578C2#6300911yescharacteristic
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. #42755C2semidirect
2. #42744C2semidirect
3. #42733C2semidirect
4. #42667C2semidirect
5. #42663C2semidirect
6. #42663C2semidirect
7. #42614C2semidirect
8. #42469C2semidirect
9. #41493C2semidirect
10. #41447C2semidirect
11. #40130C2semidirect
12. #40082C2semidirect
13. #39928C2semidirect
14. #39907C2semidirect
15. #39217C2semidirect
16. #39157C2semidirect
17. #39003C2semidirect
18. #38943C2semidirect
19. #38599C2semidirect
20. #37906C2semidirect
22. #35627C2semidirect
23. #35585C2semidirect
24. #35566C2semidirect
26. #35555C2semidirect
30. C2×#2571C2semidirect
31. #34815C2semidirect
33. #34271C2semidirect
34. #34215C2semidirect

Maximal subgroups

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

subgroupindex
#427552
#427442
#427332
#426672
#426632
#426142
#424692
#414932
#414472
#401302
#400822
#399282
#399072
#392172
#391572
#390032
#389432
#385992
#379062
#356292
#356272
#355852
#355662
#355572
#355552
#352672
#352572
#351602
C2×#25712
#348152
#347452
#342712
#342152
#341892