Finite Group Databasebeta

← #7732337

Subgroups — #7732337

Order 512.

4496 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48012C214yesmaximal, complemented
2#48010C214yesmaximal, complemented
3#47742C214yesmaximal, complemented
4#47740C214yesmaximal, complemented
5#45393C212yesmaximal, complemented
6#45391C212yesmaximal, complemented
7#45150C212yesmaximal, complemented
8#44995C212yesmaximal, complemented
9#39801C212yesmaximal, complemented
10#39800C212yesmaximal, complemented
11#39771C212yesmaximal, complemented
12#39765C212yesmaximal, complemented
13#39694C212yesmaximal, complemented
14#39643C211yesmaximal, characteristic, complemented
15#39515C211yesmaximal, characteristic, complemented
16#39297C212yesmaximal, complemented
17#39201C211yesmaximal, characteristic, complemented
18#38985C211yesmaximal, characteristic, complemented
19#38276C212yesmaximal, complemented
20#37984C212yesmaximal, complemented
21#37632C211yesmaximal, characteristic, complemented
22#37370C212yesmaximal, complemented
23#37366C212yesmaximal, complemented
24#36556C211yesmaximal, characteristic, complemented
25#36463C211yesmaximal, characteristic, complemented
26#36300C211yesmaximal, characteristic, complemented
27#36175C211yesmaximal, characteristic, complemented
28#35614C212yesmaximal, complemented
29#35590C212yesmaximal, complemented
30#35289C211yesmaximal, characteristic, complemented
31#35191C211yesmaximal, characteristic
32#34912C211yesmaximal, characteristic, complemented
33#34393C211yesmaximal, characteristic, complemented
34#34216C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×#532C2211yescharacteristic
37C22×C4⋊Q8C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2864C2212yes—
40#2862C2211yescharacteristic
41#2862C2211yescharacteristic
42#2861C2212yes—
43#2860C2212yes—
44#2858C2211yescharacteristic
45#2858C2212yes—
46#2858C2211yescharacteristic
47#2854C2212yes—
48#2851C2212yes—
49#2821C2214yes—
50#2808C2214yes—
51#2808C2214yes—
52#2804C2214yes—
53#2799C2214yes—
54#2798C2214yes—
55#2796C2214yes—
56#2796C2214yes—
57#2788C2214yes—
58#2787C2214yes—
59#2783C2214yes—
60#2777C2214yes—
61#2775C2214yes—
62#2759C2214yes—
63#2759C2214yes—
64#2755C2214yes—
65#2751C2214yes—
66#2751C2214yes—
67#2748C2214yes—
68#2747C2214yes—
69#2746C2214yes—
70#2745C2214yes—
71#2745C2214yes—
72#2743C2214yes—
73#2743C2214yes—
74#2742C2214yes—
75#2741C2214yes—
76#2740C2214yes—
77#2740C2214yes—
78#2738C2214yes—
79#2737C2214yes—
80#2724C2214yes—
81#2715C2214yes—
82#2712C2214yes—
83#2710C2214yes—
84#2706C2214yes—
85#2705C2214yes—
86#2700C2214yes—
87#2696C2214yes—
88#2693C2214yes—
89#2689C2214yes—
90#2661C2214yes—
91#2660C2212yes—
92#2647C2212yes—
93#2644C2212yes—
94#2640C2212yes—
95#2640C2212yes—
96#2640C2212yes—
97#2628C2212yes—
98#2628C2212yes—
99#2628C2212yes—
100#2624C2212yes—
101#2614C2214yes—
102#2608C2212yes—
103#2607C2212yes—
104#2606C2212yes—
105#2605C2212yes—
106#2604C2214yes—
107#2603C2214yes—
108#2599C2214yes—
109#2597C2214yes—
110#2597C2214yes—
111#2594C2214yes—
112#2592C2212yes—
113#2592C2212yes—
114#2592C2214yes—
115#2588C2214yes—
116#2582C2212yes—
117#2581C2212yes—
118#2580C2214yes—
119#2580C2212yes—
120#2577C2214yes—
121#2577C2214yes—
122#2576C2214yes—
123#2572C2214yes—
124#2570C2211yescharacteristic
125#2570C2211yescharacteristic
126#2568C2212yes—
127#2567C2211yescharacteristic
128#2567C2211yescharacteristic
129#2564C2214yes—
130#2563C2211yescharacteristic
131#2563C2211yescharacteristic
132#2563C2212yes—
133#2563C2212yes—
134#2557C2214yes—
135#2557C2214yes—
136#2554C2214yes—
137#2553C2214yes—
138#2550C2211yescharacteristic
139#2550C2211yescharacteristic
140#2548C2212yes—
141#2548C2211yescharacteristic
142#2547C2211yescharacteristic
143#2547C2212yes—
144#2547C2212yes—
145#2546C2211yescharacteristic
146#2541C2211yescharacteristic
147#2538C2212yes—
148#2532C2214yes—
149#2530C2214yes—
150#2527C2214yes—
151#2526C2214yes—
152#2523C2214yes—
153#2521C2214yes—
154#2521C2214yes—
155#2520C2214yes—
156#2516C2214yes—
157#2514C2212yes—
158#2514C2212yes—
159#2513C2212yes—
160#2513C2214yes—
161#2513C2212yes—
162#2513C2212yes—
163#2512C2212yes—
164#2512C2212yes—
165#2512C2212yes—
166#2511C2212yes—
167#2511C2212yes—
168#2509C2212yes—
169#2509C2212yes—
170#2508C2212yes—
171#2508C2212yes—
172#2505C2214yes—
173#2504C2212yes—
174#2504C2212yes—
175#2503C2212yes—
176#2501C2212yes—
177#2498C2214yes—
178#2495C2212yes—
179#2495C2212yes—
180#2494C2212yes—
181#2494C2212yes—
182#2493C2214yes—
183#2491C2212yes—
184#2490C2212yes—
185#2486C2212yes—
186#2486C2212yes—
187#2478C2214yes—
188#2474C2214yes—
189#2471C2214yes—
190#2469C2214yes—
191#2465C2214yes—
192#2459C2214yes—
193#2458C2214yes—
194#2458C2214yes—
195#2457C2214yes—
196#2454C2212yes—
197#2452C2212yes—
198#2448C2212yes—
199#2448C2212yes—
200#2447C2214yes—
201#2447C2212yes—
202#2447C2212yes—
203#2446C2212yes—
204#2446C2212yes—
205#2445C2212yes—
206#2445C2212yes—
207#2441C2211yescharacteristic
208#2441C2211yescharacteristic
209#2439C2211yescharacteristic
210#2439C2211yescharacteristic
211#2436C2212yes—
212#2436C2212yes—
213#2432C2212yes—
214#2431C2212yes—
215#2422C2212yes—
216#2420C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2396C2212yes—
220#2396C2212yes—
221#2377C2214yes—
222#2369C2211yescharacteristic
223#2369C2211yescharacteristic
224#2369C2211yescharacteristic
225#2369C2211yescharacteristic
226#2367C2212yes—
227#2367C2212yes—
228#2366C2211yescharacteristic
229#2366C2211yescharacteristic
230#2366C2212yes—
231#2365C2212yes—
232#2365C2211yescharacteristic
233#2365C2212yes—
234#2365C2211yescharacteristic
235#2365C2212yes—
236#2357C2212yes—
237#2357C2212yes—
238#2356C2212yes—
239#2355C2212yes—
240#2354C2212yes—
241#2349C2212yes—
242#2345C2212yes—
243#2345C2212yes—
244#2341C2212yes—
245Q8×C22⋊C4C2214yes—
246#2339C2212yes—
247#2335C2212yes—
248#2335C2212yes—
249#2334C2212yes—
250#2334C2212yes—
251#2331C2212yes—
252#2331C2214yes—
253#2330C2211yescharacteristic
254#2330C2211yescharacteristic
255#2326C2211yescharacteristic
256#2326C2211yescharacteristic
257#2326C2212yes—
258#2326C2212yes—
259#2324C2212yes—
260#2324C2212yes—
261#2324C2212yes—
262#2324C2212yes—
263#2324C2211yescharacteristic
264#2324C2211yescharacteristic
265#2324C2212yes—
266#2323C2211yescharacteristic
267#2323C2211yescharacteristic
268#2319C2212yes—
269#2318C2214yes—
270#2316C2212yes—
271#2314C2212yes—
272#2311C2212yes—
273#2311C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×#125C2212yes—
279C4×#125C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#121C2212yes—
282#2298C2212yes—
283#2296C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2293C2212yes—
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2283C2211yescharacteristic
293#2283C2212yes—
294#2274C2212yes—
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#532—28no—
302C2×C4⋊Q8—28no—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314#529—28no—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2314yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2314yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C42C2312yes—
373C22×C42C2311yescharacteristic
374#401C2314yes—
375#401C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2312yes—
397#399C2312yes—
398#398C2314yes—
399#398C2314yes—
400#398C2312yes—
401#398C2312yes—
402#398C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2312yes—
431#396C2314yes—
432#396C2312yes—
433#396C2312yes—
434#396C2312yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#395C2312yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2312yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2312yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2314yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#390C2314yes—
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2314yes—
539#389C2314yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2312yes—
700#383C2312yes—
701#383C2314yes—
702#383C2314yes—
703#383C2314yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2312yes—
722#381C2314yes—
723#381C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2312yes—
807#376C2314yes—
808C2×#95C2314yes—
809C43C2311yescharacteristic
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C2×#41—28no—
814C2×#41—44no—
815C2×#41—44no—
816C22×Q8—28no—
817C22×Q8—82no—
818C22×Q8—82no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C4⋊Q8—24no—
845C4⋊Q8—28no—
846C4⋊Q8—28no—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—28no—
850C4⋊Q8—24no—
851C4⋊Q8—42no—
852C4⋊Q8—44no—
853#127—24no—
854#127—44no—
855#126—28no—
856#126—84no—
857#126—84no—
858#125—24no—
859#125—24no—
860#125—42no—
861#124—24no—
862#124—28no—
863#124—44no—
864#124—44no—
865#124—84no—
866#124—82no—
867#124—82no—
868#124—82no—
869#124—82no—
870#123—28no—
871#123—84no—
872#123—84no—
873#123—84no—
874#123—84no—
875C22⋊Q8—24no—
876C22⋊Q8—84no—
877#121—24no—
878#121—28no—
879#121—28no—
880#121—28no—
881#121—44no—
882C4×Q8—24no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—42no—
886C4×Q8—42no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—84no—
890C4×Q8—84no—
891C4×D4—28no—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—42no—
898C4×D4—42no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—84no—
902#117—24no—
903#117—28no—
904#117—44no—
905#117—44no—
906#117—42no—
907#117—42no—
908#117—42no—
909#117—84no—
910C2×C4⋊C4—28no—
911C2×C4⋊C4—28no—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C42—44no—
1032C2×C42#4118yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
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#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152C24C2512yes—
1153C24C2514yes—
1154C24C2511yescharacteristic
1155#41—816no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—28no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—22no—
1163C2×Q8—24no—
1164C2×Q8—22no—
1165C2×Q8—24no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8—42no—
1173C2×Q8—42no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—816no—
1178C2×D4—24no—
1179C2×D4—28no—
1180C2×D4—22no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—28no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—44no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—28no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—28no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—44no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4C2×#4114yes—
1230C22×C4C2×#4114yes—
1231C22×C4C2×#4114yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2514yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C4⋊C4—28no—
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C42−1+414yes—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C42—24no—
1384C42—24no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—24no—
1389C42—24no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—42no—
1400C42—42no—
1401C42—42no—
1402C42—42no—
1403C42—44no—
1404C42—44no—
1405C42—42no—
1406C42—42no—
1407C42—44no—
1408C42—44no—
1409C42—42no—
1410C42—42no—
1411C42—44no—
1412C42—44no—
1413C42—41no—
1414C42—41no—
1415C42—41no—
1416C42—41no—
1417C42—42no—
1418C42C2×#4114yes—
1419C42C2×#4114yes—
1420C42C2×#4114yes—
1421C42C2×#4114yes—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—22no—
1429C23—24no—
1430C23—24no—
1431C23—22no—
1432C23—22no—
1433C23—24no—
1434C23—24no—
1435C23—22no—
1436C23—24no—
1437C23—22no—
1438C23—24no—
1439C23—24no—
1440C23—22no—
1441C23—22no—
1442C23C22×#4112yes—
1443C23C2611yescharacteristic
1444Q8—416no—
1445Q8—44no—
1446Q8—48no—
1447Q8—84no—
1448Q8—84no—
1449Q8—84no—
1450Q8—84no—
1451D4—48no—
1452D4—44no—
1453D4—48no—
1454D4—84no—
1455D4—88no—
1456D4—84no—
1457D4—88no—
1458D4—164no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—28no—
1470C2×C4—28no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—44no—
1547C2×C4—48no—
1548C2×C4—88no—
1549C2×C4—88no—
1550C2×C4—84no—
1551C2×C4—84no—
1552C2×C4—88no—
1553C2×C4—164no—
1554C2×C4C22×#4112yes—
1555C2×C4C22×#4112yes—
1556C2×C4C22×#4112yes—
1557C2×C4C22×#4112yes—
1558C2×C4C22×#4112yes—
1559C2×C4C22×#4112yes—
1560C2×C4C2×2−1+414yes—
1561C2×C4C2×2−1+412yes—
1562C2×C4#58512yes—
1563C2×C4#58512yes—
1564C2×C4#58512yes—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—42no—
1573C22—44no—
1574C22—44no—
1575C22—42no—
1576C22—44no—
1577C22—42no—
1578C22—42no—
1579C22—44no—
1580C22—42no—
1581C22—44no—
1582C22—42no—
1583C22—44no—
1584C22—44no—
1585C22—42no—
1586C22C23×#4111yescharacteristic
1587C22C22×2−1+411yescharacteristic
1588C22C2×#58511yescharacteristic
1589C22C2×#58511yescharacteristic
1590C22C2×#58511yescharacteristic
1591C22H(7,𝔽2)11yescharacteristic
1592C22H(7,𝔽2)11yescharacteristic
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—22no—
1597C4—24no—
1598C4—42no—
1599C4—44no—
1600C4—42no—
1601C4—44no—
1602C4—44no—
1603C4—42no—
1604C4—42no—
1605C4—41no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—41no—
1610C4—41no—
1611C4—42no—
1612C4—41no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—41no—
1617C4—42no—
1618C4—41no—
1619C4—42no—
1620C4—41no—
1621C4—41no—
1622C4—42no—
1623C4#350714yes—
1624C4#351014yes—
1625C2—42no—
1626C2—82no—
1627C2—84no—
1628C2C2×#350711yescharacteristic
1629C2C2×#351011yescharacteristic
1630C2#6285511yescharacteristic
1631C2#6293711yescharacteristic
1632C2#6293811yescharacteristic
1633C2#6295111yescharacteristic
1634C2#6295211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35191C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #48012C2semidirect
2. #48010C2semidirect
3. #47742C2semidirect
4. #47740C2semidirect
5. #45393C2semidirect
6. #45391C2semidirect
7. #45150C2semidirect
8. #44995C2semidirect
9. #39801C2semidirect
10. #39800C2semidirect
11. #39771C2semidirect
12. #39765C2semidirect
13. #39694C2semidirect
14. #39643C2semidirect
15. #39515C2semidirect
16. #39297C2semidirect
17. #39201C2semidirect
18. #38985C2semidirect
19. #38276C2semidirect
20. #37984C2semidirect
21. #37632C2semidirect
22. #37370C2semidirect
23. #37366C2semidirect
24. #36556C2semidirect
25. #36463C2semidirect
26. #36300C2semidirect
27. #36175C2semidirect
28. #35614C2semidirect
29. #35590C2semidirect
30. #35289C2semidirect
32. #34912C2semidirect
33. #34393C2semidirect
34. #34216C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#480122
#480102
#477422
#477402
#453932
#453912
#451502
#449952
#398012
#398002
#397712
#397652
#396942
#396432
#395152
#392972
#392012
#389852
#382762
#379842
#376322
#373702
#373662
#365562
#364632
#363002
#361752
#356142
#355902
#352892
#351912
#349122
#343932
#342162
#340842