Finite Group Databasebeta

← #7986086

Subgroups — #7986086

Order 512.

4543 conjugacy classes of subgroups.

The subgroup lattice has 1663 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59895C212yesmaximal, complemented
2#59679C211yesmaximal, characteristic, complemented
3#59280C212yesmaximal, complemented
4#59249C211yesmaximal, characteristic, complemented
5#59242C211yesmaximal, characteristic, complemented
6#49287C214yesmaximal, complemented
7#49175C214yesmaximal, complemented
8#45954C214yesmaximal, complemented
9#45399C212yesmaximal, complemented
10#45204C212yesmaximal, complemented
11#45193C212yesmaximal, complemented
12#45129C212yesmaximal, complemented
13#42749C212yesmaximal, complemented
14#42685C212yesmaximal, complemented
15#42602C212yesmaximal, complemented
16#42464C212yesmaximal, complemented
17#39762C211yesmaximal, characteristic, complemented
18#39736C211yesmaximal, characteristic, complemented
19#38966C211yesmaximal, characteristic, complemented
20#38909C211yesmaximal, characteristic, complemented
21#38529C214yesmaximal, complemented
22#38289C212yesmaximal, complemented
23#37987C212yesmaximal, complemented
24#36588C212yesmaximal, complemented
25#36527C212yesmaximal, complemented
26#36410C211yesmaximal, characteristic, complemented
27#36302C211yesmaximal, characteristic, complemented
28#36211C211yesmaximal, characteristic, complemented
29#35215C212yesmaximal, complemented
30#35160C212yesmaximal, complemented
31#34793C211yesmaximal, characteristic, complemented
32#34724C211yesmaximal, characteristic, complemented
33#34494C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2861C2212yes—
40#2859C2211yescharacteristic
41#2856C2211yescharacteristic
42#2856C2211yescharacteristic
43#2854C2212yes—
44#2854C2214yes—
45#2852C2214yes—
46#2852C2214yes—
47#2826C2214yes—
48#2825C2214yes—
49#2800C2214yes—
50#2796C2214yes—
51#2795C2214yes—
52#2790C2214yes—
53#2787C2214yes—
54#2787C2214yes—
55#2786C2214yes—
56#2783C2214yes—
57#2781C2214yes—
58#2778C2214yes—
59#2777C2214yes—
60#2776C2214yes—
61#2776C2214yes—
62#2771C2214yes—
63#2770C2214yes—
64#2768C2214yes—
65#2767C2214yes—
66#2761C2214yes—
67#2761C2214yes—
68#2756C2214yes—
69#2753C2214yes—
70#2750C2214yes—
71#2749C2214yes—
72#2749C2214yes—
73#2749C2214yes—
74#2744C2214yes—
75#2743C2214yes—
76#2740C2214yes—
77#2727C2214yes—
78#2714C2214yes—
79#2691C2214yes—
80#2691C2214yes—
81#2671C2214yes—
82#2649C2214yes—
83#2648C2214yes—
84#2648C2214yes—
85#2643C2214yes—
86#2643C2214yes—
87#2642C2212yes—
88#2636C2214yes—
89#2629C2212yes—
90#2624C2212yes—
91#2620C2212yes—
92#2611C2214yes—
93#2595C2214yes—
94#2595C2214yes—
95#2594C2214yes—
96#2593C2214yes—
97#2582C2211yescharacteristic
98#2582C2211yescharacteristic
99#2578C2214yes—
100#2576C2214yes—
101#2576C2214yes—
102#2573C2214yes—
103#2573C2214yes—
104#2571C2212yes—
105#2566C2212yes—
106#2566C2212yes—
107#2566C2212yes—
108#2559C2214yes—
109#2558C2214yes—
110#2552C2211yescharacteristic
111#2552C2211yescharacteristic
112#2552C2212yes—
113#2548C2211yescharacteristic
114#2548C2211yescharacteristic
115#2545C2212yes—
116#2544C2212yes—
117#2535C2212yes—
118#2531C2214yes—
119#2530C2212yes—
120#2529C2214yes—
121#2528C2212yes—
122#2526C2214yes—
123#2524C2214yes—
124#2518C2214yes—
125#2517C2212yes—
126#2515C2214yes—
127#2514C2212yes—
128#2514C2212yes—
129#2514C2212yes—
130#2514C2212yes—
131#2514C2212yes—
132#2514C2212yes—
133#2513C2212yes—
134#2513C2212yes—
135#2513C2212yes—
136#2513C2212yes—
137#2512C2212yes—
138#2512C2212yes—
139#2512C2212yes—
140#2512C2212yes—
141#2512C2214yes—
142#2511C2211yescharacteristic
143#2511C2212yes—
144#2510C2214yes—
145#2510C2214yes—
146#2510C2214yes—
147#2509C2212yes—
148#2509C2212yes—
149#2509C2212yes—
150#2508C2212yes—
151#2506C2211yescharacteristic
152#2500C2212yes—
153#2499C2211yescharacteristic
154#2499C2212yes—
155#2497C2214yes—
156#2496C2212yes—
157#2496C2214yes—
158#2496C2212yes—
159#2495C2214yes—
160#2495C2212yes—
161#2494C2214yes—
162#2494C2211yescharacteristic
163#2493C2214yes—
164#2490C2212yes—
165#2490C2212yes—
166#2490C2212yes—
167#2490C2212yes—
168#2489C2212yes—
169#2489C2212yes—
170#2489C2211yescharacteristic
171#2485C2211yescharacteristic
172#2478C2212yes—
173#2478C2214yes—
174#2476C2214yes—
175#2476C2214yes—
176#2471C2214yes—
177#2470C2214yes—
178#2470C2212yes—
179#2466C2214yes—
180#2466C2212yes—
181#2466C2214yes—
182#2464C2214yes—
183#2460C2212yes—
184#2455C2212yes—
185#2454C2212yes—
186#2454C2212yes—
187#2453C2211yescharacteristic
188#2447C2212yes—
189#2447C2212yes—
190#2447C2211yescharacteristic
191#2445C2212yes—
192#2444C2214yes—
193#2442C2212yes—
194#2441C2212yes—
195#2441C2211yescharacteristic
196#2441C2211yescharacteristic
197#2432C2211yescharacteristic
198#2431C2212yes—
199#2429C2211yescharacteristic
200#2428C2212yes—
201#2427C2212yes—
202#2427C2212yes—
203#2422C2211yescharacteristic
204#2421C2212yes—
205#2420C2212yes—
206#2420C2212yes—
207#2420C2212yes—
208#2416C2212yes—
209#2415C2211yescharacteristic
210#2415C2211yescharacteristic
211#2414C2212yes—
212#2414C2212yes—
213#2414C2212yes—
214#2407C2212yes—
215#2407C2211yescharacteristic
216#2407C2212yes—
217#2401C2212yes—
218#2395C2212yes—
219#2395C2212yes—
220#2392C2212yes—
221#2377C2214yes—
222#2376C2214yes—
223#2370C2212yes—
224#2370C2212yes—
225#2370C2212yes—
226#2367C2212yes—
227#2367C2212yes—
228#2367C2212yes—
229#2366C2211yescharacteristic
230#2366C2212yes—
231#2363C2212yes—
232#2363C2212yes—
233#2363C2212yes—
234#2363C2212yes—
235#2361C2212yes—
236#2357C2212yes—
237#2357C2212yes—
238#2355C2211yescharacteristic
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2355C2212yes—
243#2354C2211yescharacteristic
244#2354C2212yes—
245#2354C2212yes—
246#2352C2212yes—
247#2352C2212yes—
248#2352C2212yes—
249Q8×C4⋊C4C2211yescharacteristic
250#2349C2212yes—
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic
253#2347C2212yes—
254#2347C2212yes—
255#2343C2214yes—
256#2343C2214yes—
257#2339C2212yes—
258#2339C2212yes—
259#2334C2214yes—
260#2330C2212yes—
261#2328C2212yes—
262#2325C2214yes—
263#2324C2212yes—
264#2324C2212yes—
265#2324C2212yes—
266#2323C2212yes—
267#2319C2212yes—
268#2317C2212yes—
269#2317C2212yes—
270#2314C2212yes—
271#2311C2212yes—
272#2311C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×#123C2214yes—
282C4×#123C2212yes—
283#2298C2212yes—
284#2297C2212yes—
285#2296C2212yes—
286#2295C2212yes—
287#2295C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2290C2214yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2283C2212yes—
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301#550—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×#127C2311yescharacteristic
304C2×#127C2312yes—
305#529—28no—
306C2×#126C2312yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2311yescharacteristic
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124C2311yescharacteristic
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C4×#41—28no—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2314yes—
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C42C2312yes—
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2314yes—
377#401C2314yes—
378#401C2314yes—
379#401C2312yes—
380#401C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#399C2314yes—
401#399C2314yes—
402#399C2312yes—
403#399C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2312yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2312yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2314yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#392C2312yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2311yescharacteristic
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2314yes—
509#390C2314yes—
510#390C2312yes—
511#390C2311yescharacteristic
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2314yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#383C2314yes—
703#383C2314yes—
704#383C2314yes—
705#383C2314yes—
706#383C2314yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2312yes—
715#382C2314yes—
716#382C2314yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#381C2314yes—
721#381C2314yes—
722#381C2312yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C2×#41—24no—
814C2×#41—28no—
815C2×#41—42no—
816C2×#41—42no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2414yes—
830C22×D4C2411yescharacteristic
831C22×D4C2414yes—
832C22×D4C2414yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C4⋊Q8—42no—
848#127—28no—
849#127—24no—
850#126—28no—
851#126—84no—
852#126—84no—
853#126—84no—
854#125—24no—
855#125—44no—
856#125—44no—
857#125—42no—
858#125—44no—
859#125—44no—
860#124—24no—
861#124—44no—
862#124—44no—
863#123—28no—
864#123—48no—
865#123—44no—
866C22⋊Q8—24no—
867C22⋊Q8—42no—
868C22⋊Q8—42no—
869C22⋊Q8—42no—
870C22⋊Q8—42no—
871#121—24no—
872#121—28no—
873#121—216no—
874#121—44no—
875#121—44no—
876#121—44no—
877#121—44no—
878#121—44no—
879#121—84no—
880#121—82no—
881C4×Q8—24no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—44no—
886C4×D4—24no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—42no—
898C4×D4—42no—
899C4×D4—42no—
900C4×D4—82no—
901C4×D4—84no—
902C4×D4#4118yes—
903#117—28no—
904#117—24no—
905#117—28no—
906#117—44no—
907#117—44no—
908#117—48no—
909#117—42no—
910#117—42no—
911#117—44no—
912#117—44no—
913#117—82no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C42—28no—
1042C2×C42—24no—
1043C2×C42—24no—
1044C2×C42—84no—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2411yescharacteristic
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155C24C2511yescharacteristic
1156C24C2511yescharacteristic
1157C24C2514yes—
1158C24C2512yes—
1159#41—416no—
1160#41—816no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4C2×#4114yes—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—28no—
1224C22×C4—42no—
1225C22×C4—41no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—41no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—41no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4C2×#4118yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2514yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2514yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4C2×#4114yes—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—22no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
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—41no—
1365C22⋊C4—44no—
1366C22⋊C4—41no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4C2×#4118yes—
1401C42—22no—
1402C42—22no—
1403C42—24no—
1404C42—22no—
1405C42—22no—
1406C42—24no—
1407C42—24no—
1408C42—22no—
1409C42—22no—
1410C42—24no—
1411C42—24no—
1412C42—22no—
1413C42—24no—
1414C42—24no—
1415C42—24no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—22no—
1421C42—42no—
1422C42—44no—
1423C42—44no—
1424C42—44no—
1425C42—44no—
1426C42—44no—
1427C42—44no—
1428C42—42no—
1429C42—42no—
1430C42—41no—
1431C42—41no—
1432C42—44no—
1433C42—44no—
1434C42C2×#4114yes—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—21no—
1442C23—21no—
1443C23—24no—
1444C23—21no—
1445C23—24no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—24no—
1450C23—24no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—24no—
1455C23—24no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—24no—
1461C23—21no—
1462C23C22×#4114yes—
1463C23C2611yescharacteristic
1464Q8—44no—
1465Q8—44no—
1466Q8—44no—
1467D4—28no—
1468D4—48no—
1469D4—44no—
1470D4—48no—
1471D4—48no—
1472D4—84no—
1473D4—84no—
1474D4—88no—
1475D4—88no—
1476D4—164no—
1477D4—164no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—216no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—44no—
1564C2×C4—48no—
1565C2×C4—48no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—82no—
1571C2×C4—88no—
1572C2×C4—88no—
1573C2×C4—88no—
1574C2×C4—88no—
1575C2×C4—164no—
1576C2×C4C22×#4112yes—
1577C2×C4C22×#4114yes—
1578C2×C4C22×#4112yes—
1579C2×C4C22×#4112yes—
1580C2×C4#58512yes—
1581C2×C4#58512yes—
1582C2×C4#58512yes—
1583C2×C4#58512yes—
1584C2×C4#58512yes—
1585C22—24no—
1586C22—24no—
1587C22—24no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—41no—
1593C22—41no—
1594C22—44no—
1595C22—44no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—44no—
1601C22—41no—
1602C22—41no—
1603C22—44no—
1604C22—41no—
1605C22—44no—
1606C22—41no—
1607C22—44no—
1608C22—41no—
1609C22—44no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22C23×#4111yescharacteristic
1614C22C2×#58511yescharacteristic
1615C22C2×#58511yescharacteristic
1616C22C2×#58511yescharacteristic
1617C22C2×#58511yescharacteristic
1618C22C2×#58511yescharacteristic
1619C22H(7,𝔽2)11yescharacteristic
1620C4—22no—
1621C4—22no—
1622C4—24no—
1623C4—42no—
1624C4—41no—
1625C4—42no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—42no—
1634C4—42no—
1635C4—41no—
1636C4—41no—
1637C4—42no—
1638C4—42no—
1639C4—41no—
1640C4—44no—
1641C4—41no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—44no—
1647C4—44no—
1648C4—41no—
1649C4#349314yes—
1650C4#352114yes—
1651C2—44no—
1652C2—81no—
1653C2—81no—
1654C2—84no—
1655C2#6276211yescharacteristic
1656C2C2×#349311yescharacteristic
1657C2C2×#352111yescharacteristic
1658C2#6296911yescharacteristic
1659C2#6296911yescharacteristic
1660C2#6300811yescharacteristic
1661C2#6303611yescharacteristic
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. #59895C2semidirect
2. #59679C2semidirect
3. #59280C2semidirect
4. #59249C2semidirect
5. #59242C2semidirect
6. #49287C2semidirect
7. #49175C2semidirect
8. #45954C2semidirect
9. #45399C2semidirect
10. #45204C2semidirect
11. #45193C2semidirect
12. #45129C2semidirect
13. #42749C2semidirect
14. #42685C2semidirect
15. #42602C2semidirect
16. #42464C2semidirect
17. #39762C2semidirect
18. #39736C2semidirect
19. #38966C2semidirect
20. #38909C2semidirect
21. #38529C2semidirect
22. #38289C2semidirect
23. #37987C2semidirect
24. #36588C2semidirect
25. #36527C2semidirect
26. #36410C2semidirect
27. #36302C2semidirect
28. #36211C2semidirect
29. #35215C2semidirect
30. #35160C2semidirect
31. #34793C2semidirect
32. #34724C2semidirect
33. #34494C2semidirect
34. #34383C2semidirect
35. #34127C2semidirect

Maximal subgroups

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

subgroupindex
#598952
#596792
#592802
#592492
#592422
#492872
#491752
#459542
#453992
#452042
#451932
#451292
#427492
#426852
#426022
#424642
#397622
#397362
#389662
#389092
#385292
#382892
#379872
#365882
#365272
#364102
#363022
#362112
#352152
#351602
#347932
#347242
#344942
#343832
#341272