Finite Group Databasebeta

← #7987178

Subgroups — #7987178

Order 512.

4420 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59445C211yesmaximal, characteristic, complemented
2#59397C212yesmaximal, complemented
3#59308C212yesmaximal, complemented
4#59302C211yesmaximal, characteristic, complemented
5#59211C211yesmaximal, characteristic, complemented
6#49153C214yesmaximal, complemented
7#49149C214yesmaximal, complemented
8#46178C214yesmaximal, complemented
9#45186C212yesmaximal, complemented
10#45173C212yesmaximal, complemented
11#45035C212yesmaximal, complemented
12#44919C212yesmaximal, complemented
13#42949C212yesmaximal, complemented
14#42947C212yesmaximal, complemented
15#42773C212yesmaximal, complemented
16#42771C212yesmaximal, complemented
17#40440C214yesmaximal, complemented
18#39480C211yesmaximal, characteristic, complemented
19#39474C212yesmaximal, complemented
20#39258C212yesmaximal, complemented
21#38931C211yesmaximal, characteristic, complemented
22#38922C211yesmaximal, characteristic, complemented
23#38922C211yesmaximal, characteristic, complemented
24#36514C212yesmaximal, complemented
25#36477C211yesmaximal, characteristic, complemented
26#36451C212yesmaximal, complemented
27#36189C211yesmaximal, characteristic, complemented
28#36165C211yesmaximal, characteristic, complemented
29#35339C212yesmaximal, complemented
30#35163C212yesmaximal, complemented
31#34932C211yesmaximal, characteristic, complemented
32#34917C211yesmaximal, characteristic, complemented
33#34384C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35C4×#555C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2866C2214yes—
40#2864C2214yes—
41#2864C2214yes—
42#2859C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2855C2212yes—
46#2851C2212yes—
47#2837C2214yes—
48#2836C2214yes—
49#2793C2214yes—
50#2793C2214yes—
51#2786C2214yes—
52#2782C2214yes—
53#2781C2214yes—
54#2781C2214yes—
55#2779C2214yes—
56#2779C2214yes—
57#2774C2214yes—
58#2773C2214yes—
59#2772C2214yes—
60#2770C2214yes—
61#2768C2214yes—
62#2766C2214yes—
63#2762C2214yes—
64#2758C2214yes—
65#2757C2214yes—
66#2753C2214yes—
67#2750C2214yes—
68#2747C2214yes—
69#2741C2214yes—
70#2721C2214yes—
71#2719C2214yes—
72#2715C2214yes—
73#2715C2214yes—
74#2711C2214yes—
75#2708C2214yes—
76#2698C2214yes—
77#2691C2214yes—
78#2691C2214yes—
79#2690C2214yes—
80#2672C2214yes—
81#2672C2214yes—
82#2664C2214yes—
83#2652C2214yes—
84#2649C2214yes—
85#2649C2214yes—
86#2647C2214yes—
87#2647C2214yes—
88#2647C2212yes—
89#2625C2212yes—
90#2624C2212yes—
91#2624C2212yes—
92#2608C2214yes—
93#2595C2214yes—
94#2587C2214yes—
95#2578C2214yes—
96#2578C2212yes—
97#2577C2214yes—
98#2577C2214yes—
99#2576C2214yes—
100#2576C2212yes—
101#2575C2214yes—
102#2573C2214yes—
103#2571C2211yescharacteristic
104#2571C2211yescharacteristic
105#2570C2211yescharacteristic
106#2570C2212yes—
107#2570C2212yes—
108#2570C2212yes—
109#2570C2212yes—
110#2570C2212yes—
111#2570C2212yes—
112#2570C2212yes—
113#2569C2214yes—
114#2569C2214yes—
115#2569C2214yes—
116#2569C2214yes—
117#2567C2211yescharacteristic
118#2567C2211yescharacteristic
119#2566C2211yescharacteristic
120#2566C2212yes—
121#2562C2214yes—
122#2562C2211yescharacteristic
123#2559C2214yes—
124#2553C2212yes—
125#2553C2214yes—
126#2553C2212yes—
127#2552C2211yescharacteristic
128#2552C2212yes—
129#2547C2211yescharacteristic
130#2543C2214yes—
131#2542C2211yescharacteristic
132#2538C2211yescharacteristic
133#2538C2211yescharacteristic
134#2537C2212yes—
135#2537C2212yes—
136#2537C2211yescharacteristic
137#2536C2212yes—
138#2535C2211yescharacteristic
139#2533C2214yes—
140#2533C2214yes—
141#2531C2214yes—
142#2530C2214yes—
143#2529C2214yes—
144#2528C2214yes—
145#2525C2214yes—
146#2518C2214yes—
147#2517C2214yes—
148#2515C2212yes—
149#2514C2212yes—
150#2513C2212yes—
151#2512C2212yes—
152#2511C2212yes—
153#2511C2212yes—
154#2510C2214yes—
155#2508C2212yes—
156#2508C2212yes—
157#2508C2212yes—
158#2508C2212yes—
159#2507C2212yes—
160#2506C2212yes—
161#2506C2212yes—
162#2506C2212yes—
163#2505C2214yes—
164#2505C2214yes—
165#2504C2212yes—
166#2500C2212yes—
167#2499C2212yes—
168#2497C2212yes—
169#2497C2212yes—
170#2497C2211yescharacteristic
171#2496C2212yes—
172#2496C2212yes—
173#2496C2212yes—
174#2496C2212yes—
175#2495C2212yes—
176#2495C2212yes—
177#2495C2212yes—
178#2494C2212yes—
179#2494C2211yescharacteristic
180#2494C2214yes—
181#2489C2211yescharacteristic
182#2489C2211yescharacteristic
183#2487C2212yes—
184#2485C2212yes—
185#2485C2212yes—
186#2485C2212yes—
187#2481C2214yes—
188#2468C2214yes—
189#2462C2214yes—
190#2460C2214yes—
191#2460C2214yes—
192#2457C2212yes—
193#2446C2212yes—
194#2444C2214yes—
195#2442C2212yes—
196#2442C2212yes—
197#2442C2212yes—
198#2441C2212yes—
199#2441C2212yes—
200#2441C2212yes—
201#2429C2212yes—
202#2427C2211yescharacteristic
203#2427C2212yes—
204#2427C2212yes—
205#2427C2211yescharacteristic
206#2423C2212yes—
207#2422C2211yescharacteristic
208#2422C2212yes—
209#2421C2212yes—
210#2420C2211yescharacteristic
211#2417C2212yes—
212#2417C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2401C2212yes—
218#2395C2212yes—
219#2395C2212yes—
220#2392C2212yes—
221#2383C2214yes—
222#2376C2214yes—
223#2372C2214yes—
224#2370C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2369C2211yescharacteristic
228#2367C2212yes—
229#2364C2214yes—
230#2363C2212yes—
231#2363C2212yes—
232#2362C2212yes—
233#2361C2212yes—
234#2360C2212yes—
235#2360C2212yes—
236#2357C2212yes—
237#2355C2211yescharacteristic
238#2355C2212yes—
239#2355C2211yescharacteristic
240#2354C2211yescharacteristic
241#2354C2211yescharacteristic
242#2354C2212yes—
243#2352C2212yes—
244#2352C2212yes—
245#2352C2212yes—
246#2352C2212yes—
247Q8×C4⋊C4C2211yescharacteristic
248Q8×C4⋊C4C2211yescharacteristic
249#2349C2212yes—
250#2349C2212yes—
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2212yes—
254#2347C2212yes—
255#2346C2212yes—
256#2346C2212yes—
257#2345C2212yes—
258#2345C2212yes—
259#2334C2214yes—
260#2330C2212yes—
261#2326C2212yes—
262#2324C2212yes—
263#2323C2212yes—
264#2322C2214yes—
265#2320C2212yes—
266#2317C2212yes—
267#2317C2212yes—
268#2316C2212yes—
269#2316C2212yes—
270#2314C2212yes—
271#2314C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#126C2214yes—
277C4×#124C2214yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×#123C2212yes—
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286C4×#121C2212yes—
287#2290C2212yes—
288#2285C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291C2×#384C2211yescharacteristic
292#2283C2211yescharacteristic
293C2×#382C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2212yes—
299#555—28no—
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302#529—28no—
303#529—28no—
304C2×#126C2312yes—
305C2×#126C2312yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#125C2311yescharacteristic
309C2×#125C2311yescharacteristic
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#125C2314yes—
314C2×#124C2311yescharacteristic
315C2×#124C2311yescharacteristic
316C2×#124C2314yes—
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×#121C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C42C2312yes—
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2312yes—
376#401C2312yes—
377#401C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#399C2314yes—
403#399C2312yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2312yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2312yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2312yes—
451#396C2314yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#395C2314yes—
459#395C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2312yes—
463#394C2312yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2312yes—
476#394C2312yes—
477#392C2312yes—
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2314yes—
490#390C2312yes—
491#390C2312yes—
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2312yes—
495#390C2314yes—
496#390C2312yes—
497#390C2314yes—
498#390C2312yes—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2314yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
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#387C2312yes—
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#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#386C2312yes—
634#386C2314yes—
635#386C2312yes—
636#386C2314yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2314yes—
649#385C2314yes—
650#385C2312yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2312yes—
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2311yescharacteristic
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2314yes—
701#382C2312yes—
702#382C2314yes—
703#382C2314yes—
704#382C2312yes—
705#382C2314yes—
706#382C2314yes—
707#381C2312yes—
708#381C2314yes—
709#381C2312yes—
710#380C2314yes—
711#380C2314yes—
712#380C2311yescharacteristic
713#380C2314yes—
714#380C2311yescharacteristic
715#380C2314yes—
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2314yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C43C2314yes—
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×D4C2411yescharacteristic
817C22×D4C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C22×D4C2414yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C4⋊Q8—24no—
840C4⋊Q8—42no—
841#126—28no—
842#126—28no—
843#126—48no—
844#126—84no—
845#125—24no—
846#125—24no—
847#125—24no—
848#125—44no—
849#125—84no—
850#125—84no—
851#124—24no—
852#124—24no—
853#124—216no—
854#123—28no—
855#123—28no—
856#123—44no—
857C22⋊Q8—24no—
858C22⋊Q8—24no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—42no—
863C22⋊Q8—42no—
864C22⋊Q8—82no—
865#121—24no—
866#121—24no—
867#121—28no—
868#121—28no—
869#121—48no—
870#121—44no—
871#121—42no—
872#121—42no—
873#121—84no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—82no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—24no—
884C4×D4—42no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—42no—
888C4×D4—42no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—42no—
892C4×D4—42no—
893C4×D4—84no—
894C4×D4—84no—
895C4×D4#4118yes—
896#117—28no—
897#117—28no—
898#117—28no—
899#117—28no—
900#117—44no—
901#117—44no—
902#117—44no—
903#117—44no—
904C2×C4⋊C4—44no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4—44no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4—82no—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C42—24no—
1036C2×C42—24no—
1037C2×C42—28no—
1038C2×C42—44no—
1039C2×C42C2414yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150C24C2512yes—
1151C24C2511yescharacteristic
1152C24C2512yes—
1153C24C2511yescharacteristic
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×D4—24no—
1164C2×D4—22no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—28no—
1168C2×D4—24no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—41no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4C2×#4114yes—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—41no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—41no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—41no—
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×C4—44no—
1230C22×C4—44no—
1231C22×C4C2×#4118yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2514yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2514yes—
1250C22×C4C2514yes—
1251C22×C4C2514yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
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—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4C2×#4114yes—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—22no—
1346C22⋊C4—28no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—42no—
1372C22⋊C4—41no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4C2×#4118yes—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—28no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—22no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—22no—
1406C42—22no—
1407C42—42no—
1408C42—42no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—41no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—44no—
1417C42—41no—
1418C42—44no—
1419C42—44no—
1420C42C2×#4114yes—
1421C422−1+414yes—
1422C23—21no—
1423C23—21no—
1424C23—22no—
1425C23—21no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—21no—
1430C23—21no—
1431C23—22no—
1432C23—21no—
1433C23—22no—
1434C23—22no—
1435C23—21no—
1436C23—21no—
1437C23—22no—
1438C23—21no—
1439C23—22no—
1440C23—21no—
1441C23—22no—
1442C23—21no—
1443C23—21no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—21no—
1448C23C22×#4114yes—
1449C23#58512yes—
1450C23C2611yescharacteristic
1451Q8—44no—
1452Q8—44no—
1453Q8—84no—
1454D4—28no—
1455D4—44no—
1456D4—48no—
1457D4—44no—
1458D4—84no—
1459D4—88no—
1460D4—84no—
1461D4—84no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—216no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—24no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—24no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—48no—
1550C2×C4—44no—
1551C2×C4—44no—
1552C2×C4—84no—
1553C2×C4—82no—
1554C2×C4—84no—
1555C2×C4—84no—
1556C2×C4—84no—
1557C2×C4—164no—
1558C2×C4—164no—
1559C2×C4—164no—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4114yes—
1562C2×C4C22×#4112yes—
1563C2×C4C22×#4112yes—
1564C2×C4C2×2−1+412yes—
1565C2×C4C2×2−1+412yes—
1566C2×C4C2×2−1+412yes—
1567C2×C4#58512yes—
1568C2×C4#58512yes—
1569C2×C4#58512yes—
1570C22—22no—
1571C22—22no—
1572C22—24no—
1573C22—22no—
1574C22—24no—
1575C22—24no—
1576C22—42no—
1577C22—42no—
1578C22—41no—
1579C22—41no—
1580C22—42no—
1581C22—41no—
1582C22—41no—
1583C22—42no—
1584C22—41no—
1585C22—42no—
1586C22—41no—
1587C22—42no—
1588C22—42no—
1589C22—41no—
1590C22—41no—
1591C22—42no—
1592C22—42no—
1593C22—41no—
1594C22—42no—
1595C22—41no—
1596C22—41no—
1597C22—42no—
1598C22C23×#4111yescharacteristic
1599C22C22×2−1+411yescharacteristic
1600C22C2×#58511yescharacteristic
1601C22C2×#58511yescharacteristic
1602C22C2×#58511yescharacteristic
1603C22C2×#58511yescharacteristic
1604C22H(7,𝔽2)11yescharacteristic
1605C4—22no—
1606C4—22no—
1607C4—24no—
1608C4—22no—
1609C4—42no—
1610C4—42no—
1611C4—41no—
1612C4—41no—
1613C4—42no—
1614C4—42no—
1615C4—44no—
1616C4—42no—
1617C4—41no—
1618C4—44no—
1619C4—42no—
1620C4—41no—
1621C4—41no—
1622C4—42no—
1623C4—41no—
1624C4—41no—
1625C4—42no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—41no—
1631C4—44no—
1632C4—44no—
1633C4—42no—
1634C4#351214yes—
1635C4#351514yes—
1636C2—42no—
1637C2—44no—
1638C2—81no—
1639C2—82no—
1640C2#6275211yescharacteristic
1641C2C2×#351511yescharacteristic
1642C2C2×#351211yescharacteristic
1643C2#6292911yescharacteristic
1644C2#6296611yescharacteristic
1645C2#6300811yescharacteristic
1646C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59445C2semidirect
2. #59397C2semidirect
3. #59308C2semidirect
4. #59302C2semidirect
5. #59211C2semidirect
6. #49153C2semidirect
7. #49149C2semidirect
8. #46178C2semidirect
9. #45186C2semidirect
10. #45173C2semidirect
11. #45035C2semidirect
12. #44919C2semidirect
13. #42949C2semidirect
14. #42947C2semidirect
15. #42773C2semidirect
16. #42771C2semidirect
17. #40440C2semidirect
18. #39480C2semidirect
19. #39474C2semidirect
20. #39258C2semidirect
21. #38931C2semidirect
22. #38922C2semidirect
23. #38922C2semidirect
24. #36514C2semidirect
25. #36477C2semidirect
26. #36451C2semidirect
27. #36189C2semidirect
28. #36165C2semidirect
29. #35339C2semidirect
30. #35163C2semidirect
31. #34932C2semidirect
32. #34917C2semidirect
33. #34384C2semidirect
34. #34383C2semidirect
35. C4×#555C2semidirect

Maximal subgroups

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

subgroupindex
#594452
#593972
#593082
#593022
#592112
#491532
#491492
#461782
#451862
#451732
#450352
#449192
#429492
#429472
#427732
#427712
#404402
#394802
#394742
#392582
#389312
#389222
#365142
#364772
#364512
#361892
#361652
#353392
#351632
#349322
#349172
#343842
#343832
C4×#5552