Finite Group Databasebeta

← #7652449

Subgroups — #7652449

Order 512.

4268 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#42782C212yesmaximal, complemented
2#42744C212yesmaximal, complemented
3#42723C212yesmaximal, complemented
4#42670C212yesmaximal, complemented
5#42657C212yesmaximal, complemented
6#42614C212yesmaximal, complemented
7#42470C212yesmaximal, complemented
8#42455C212yesmaximal, complemented
9#41447C214yesmaximal, complemented
10#40815C214yesmaximal, complemented
11#40143C212yesmaximal, complemented
12#40082C212yesmaximal, complemented
13#39907C212yesmaximal, complemented
14#39907C212yesmaximal, complemented
15#39780C212yesmaximal, complemented
16#39217C212yesmaximal, complemented
17#39157C212yesmaximal, complemented
18#39149C212yesmaximal, complemented
19#38599C214yesmaximal, complemented
20#38515C214yesmaximal, complemented
21#35627C211yesmaximal, characteristic, complemented
22#35566C211yesmaximal, characteristic, complemented
23#35545C211yesmaximal, characteristic
24#35545C211yesmaximal, characteristic
25#35543C211yesmaximal, characteristic, complemented
26#35543C211yesmaximal, characteristic, complemented
27#35267C211yesmaximal, characteristic
28#35257C211yesmaximal, characteristic
29#35160C211yesmaximal, characteristic
30#34948C211yesmaximal, characteristic, complemented
31C2×#2509C211yesmaximal, characteristic, complemented
32#34745C211yesmaximal, characteristic
33#34272C211yesmaximal, characteristic, complemented
34#34213C211yesmaximal, 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#2836C2214yes—
46#2833C2214yes—
47#2831C2214yes—
48#2802C2214yes—
49#2798C2214yes—
50#2794C2214yes—
51#2789C2214yes—
52#2783C2214yes—
53#2776C2214yes—
54#2776C2214yes—
55#2776C2214yes—
56#2772C2214yes—
57#2769C2214yes—
58#2769C2214yes—
59#2766C2214yes—
60#2762C2214yes—
61#2762C2214yes—
62#2758C2214yes—
63#2758C2214yes—
64#2758C2214yes—
65#2754C2214yes—
66#2739C2214yes—
67#2739C2214yes—
68#2739C2214yes—
69#2739C2214yes—
70#2725C2214yes—
71#2725C2214yes—
72#2721C2214yes—
73#2719C2214yes—
74#2716C2214yes—
75#2713C2214yes—
76#2689C2214yes—
77#2689C2214yes—
78#2689C2214yes—
79#2689C2214yes—
80#2666C2214yes—
81#2664C2214yes—
82#2655C2214yes—
83#2655C2214yes—
84#2654C2214yes—
85#2652C2214yes—
86#2652C2214yes—
87#2650C2214yes—
88#2645C2214yes—
89#2645C2212yes—
90#2645C2214yes—
91#2644C2212yes—
92#2643C2214yes—
93#2637C2214yes—
94#2634C2214yes—
95#2629C2212yes—
96#2628C2212yes—
97#2584C2212yes—
98#2584C2212yes—
99#2571C2212yes—
100#2571C2212yes—
101#2571C2211yescharacteristic
102#2571C2211yescharacteristic
103#2571C2212yes—
104#2571C2212yes—
105#2570C2212yes—
106#2570C2212yes—
107#2570C2211yescharacteristic
108#2570C2211yescharacteristic
109#2570C2211yescharacteristic
110#2570C2211yescharacteristic
111#2570C2212yes—
112#2570C2212yes—
113#2570C2212yes—
114#2570C2212yes—
115#2569C2212yes—
116#2569C2212yes—
117#2567C2212yes—
118#2552C2211yescharacteristic
119#2552C2211yescharacteristic
120#2552C2212yes—
121#2552C2212yes—
122#2552C2212yes—
123#2551C2212yes—
124#2550C2212yes—
125#2550C2212yes—
126#2549C2214yes—
127#2546C2212yes—
128#2533C2214yes—
129#2533C2214yes—
130#2533C2214yes—
131#2533C2214yes—
132#2524C2214yes—
133#2519C2214yes—
134#2514C2212yes—
135#2514C2212yes—
136#2514C2212yes—
137#2513C2212yes—
138#2513C2212yes—
139#2513C2212yes—
140#2512C2212yes—
141#2512C2212yes—
142#2512C2212yes—
143#2511C2212yes—
144#2511C2212yes—
145#2511C2212yes—
146#2510C2214yes—
147#2510C2214yes—
148#2510C2214yes—
149#2509C2212yes—
150#2509C2212yes—
151#2509C2212yes—
152#2509C2212yes—
153#2509C2212yes—
154#2509C2212yes—
155#2509C2212yes—
156#2509C2212yes—
157#2509C2212yes—
158#2509C2212yes—
159#2509C2212yes—
160#2509C2212yes—
161#2508C2212yes—
162#2508C2212yes—
163#2508C2212yes—
164#2508C2212yes—
165#2507C2212yes—
166#2507C2212yes—
167#2506C2212yes—
168#2506C2212yes—
169#2505C2214yes—
170#2505C2214yes—
171#2505C2214yes—
172#2505C2214yes—
173#2497C2212yes—
174#2497C2212yes—
175#2497C2212yes—
176#2497C2212yes—
177#2496C2212yes—
178#2496C2214yes—
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#2481C2214yes—
192#2481C2214yes—
193#2481C2214yes—
194#2473C2214yes—
195#2473C2214yes—
196#2469C2214yes—
197#2462C2214yes—
198#2454C2212yes—
199#2454C2211yescharacteristic
200#2454C2211yescharacteristic
201#2453C2212yes—
202#2453C2211yescharacteristic
203#2453C2211yescharacteristic
204#2452C2211yescharacteristic
205#2452C2212yes—
206#2452C2211yescharacteristic
207#2451C2211yescharacteristic
208#2451C2211yescharacteristic
209#2451C2212yes—
210#2450C2212yes—
211#2450C2212yes—
212#2450C2214yes—
213#2449C2214yes—
214#2449C2212yes—
215#2449C2212yes—
216#2442C2212yes—
217#2442C2212yes—
218#2440C2214yes—
219#2429C2214yes—
220#2421C2214yes—
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#2365C2212yes—
235#2365C2212yes—
236#2360C2214yes—
237#2357C2212yes—
238#2357C2212yes—
239#2356C2212yes—
240#2356C2212yes—
241#2355C2212yes—
242#2355C2212yes—
243#2355C2212yes—
244#2353C2214yes—
245#2353C2214yes—
246Q8×C4⋊C4C2212yes—
247#2334C2214yes—
248#2334C2214yes—
249#2331C2212yes—
250#2330C2212yes—
251#2330C2214yes—
252#2329C2214yes—
253#2327C2214yes—
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2316C2211yescharacteristic
261#2314C2212yes—
262#2314C2212yes—
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267C4×C4⋊Q8C2212yes—
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
280C2×#389C2211yescharacteristic
281C2×#389C2211yescharacteristic
282C2×#389C2212yes—
283C2×#389C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#387C2212yes—
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2283C2212yes—
290#2283C2212yes—
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⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2314yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C4×#41—28no—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2314yes—
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⋊C4C2312yes—
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2311yescharacteristic
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#400C2312yes—
364#400C2312yes—
365#400C2312yes—
366#400C2312yes—
367#400C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#399C2314yes—
409#399C2312yes—
410#399C2312yes—
411#398C2312yes—
412#398C2312yes—
413#398C2312yes—
414#398C2312yes—
415#398C2314yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
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#396C2312yes—
452#396C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2312yes—
461#395C2314yes—
462#395C2314yes—
463#395C2312yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2312yes—
468#393C2314yes—
469#393C2312yes—
470#393C2312yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2311yescharacteristic
484#391C2314yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2314yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2314yes—
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
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#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#385C2312yes—
656#385C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#384C2312yes—
676#384C2314yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2312yes—
688#383C2314yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2314yes—
712#382C2314yes—
713#382C2314yes—
714#382C2312yes—
715#382C2312yes—
716#381C2314yes—
717#381C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2314yes—
801#376C2312yes—
802#376C2314yes—
803C2×#95C2311yescharacteristic
804C2×#95C2311yescharacteristic
805C2×#95C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
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×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C4⋊Q8—24no—
837C4⋊Q8—24no—
838C4⋊Q8—28no—
839C4⋊Q8—28no—
840C4⋊Q8—48no—
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—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—216no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858C22⋊Q8—84no—
859C4×Q8—24no—
860C4×Q8—24no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—84no—
864C4×Q8—84no—
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—44no—
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⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
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—82no—
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×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2411yescharacteristic
1046#95C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2411yescharacteristic
1050#95C2411yescharacteristic
1051#95C2411yescharacteristic
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2411yescharacteristic
1056#95C2414yes—
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#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
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—24no—
1145C2×Q8—42no—
1146C2×Q8—44no—
1147C2×Q8—42no—
1148C2×Q8—44no—
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—24no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—24no—
1163C22×C4—22no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—41no—
1174C22×C4—42no—
1175C22×C4—41no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—42no—
1186C22×C4—41no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—41no—
1192C22×C4—42no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4C2×#4114yes—
1196C22×C42−1+414yes—
1197C22×C42−1+414yes—
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2514yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
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—28no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—41no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
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—42no—
1344C22⋊C4—44no—
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—24no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C42—42no—
1372C42—44no—
1373C42—44no—
1374C42—42no—
1375C42—44no—
1376C42—44no—
1377C42—42no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
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—48no—
1398Q8—44no—
1399Q8—88no—
1400Q8—84no—
1401D4—48no—
1402D4—44no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—24no—
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—24no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—48no—
1495C2×C4—48no—
1496C2×C4—84no—
1497C2×C4—84no—
1498C2×C4—82no—
1499C2×C4—84no—
1500C2×C4—82no—
1501C2×C4—82no—
1502C2×C4—84no—
1503C2×C4—82no—
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—22no—
1538C4—24no—
1539C4—24no—
1540C4—22no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—44no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—42no—
1553C4—42no—
1554C4—41no—
1555C4—44no—
1556C4—42no—
1557C4—41no—
1558C4—41no—
1559C4—44no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—44no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4C2×#54114yes—
1569C4C2×#54114yes—
1570C2—24no—
1571C2—82no—
1572C2C22×#54111yescharacteristic
1573C2#6283111yescharacteristic
1574C2#6287911yescharacteristic
1575C2#6292611yescharacteristic
1576C2#6295611yescharacteristic
1577C2#6300811yescharacteristic
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. #42782C2semidirect
2. #42744C2semidirect
3. #42723C2semidirect
4. #42670C2semidirect
5. #42657C2semidirect
6. #42614C2semidirect
7. #42470C2semidirect
8. #42455C2semidirect
9. #41447C2semidirect
10. #40815C2semidirect
11. #40143C2semidirect
12. #40082C2semidirect
13. #39907C2semidirect
14. #39907C2semidirect
15. #39780C2semidirect
16. #39217C2semidirect
17. #39157C2semidirect
18. #39149C2semidirect
19. #38599C2semidirect
20. #38515C2semidirect
21. #35627C2semidirect
22. #35566C2semidirect
25. #35543C2semidirect
26. #35543C2semidirect
30. #34948C2semidirect
31. C2×#2509C2semidirect
33. #34272C2semidirect
34. #34213C2semidirect

Maximal subgroups

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

subgroupindex
#427822
#427442
#427232
#426702
#426572
#426142
#424702
#424552
#414472
#408152
#401432
#400822
#399072
#397802
#392172
#391572
#391492
#385992
#385152
#356272
#355662
#355452
#355432
#352672
#352572
#351602
#349482
C2×#25092
#347452
#342722
#342132
#341892