Finite Group Databasebeta

← #7658040

Subgroups — #7658040

Order 512.

4324 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42663C212yesmaximal, complemented
2#42662C212yesmaximal, complemented
3#42507C212yesmaximal, complemented
4#42501C212yesmaximal, complemented
5#41722C214yesmaximal, complemented
6#41713C214yesmaximal, complemented
7#41667C214yesmaximal, complemented
8#41657C214yesmaximal, complemented
9#39299C212yesmaximal, complemented
10#39281C212yesmaximal, complemented
11#39157C211yesmaximal, characteristic, complemented
12#39146C211yesmaximal, characteristic, complemented
13#38943C211yesmaximal, characteristic, complemented
14#38932C211yesmaximal, characteristic, complemented
15#38289C212yesmaximal, complemented
16#38275C212yesmaximal, complemented
17#37643C211yesmaximal, characteristic, complemented
18#37633C211yesmaximal, characteristic, complemented
19#37519C212yesmaximal, complemented
20#37512C212yesmaximal
21#36481C211yesmaximal, characteristic, complemented
22#36459C211yesmaximal, characteristic, complemented
23#36315C211yesmaximal, characteristic, complemented
24#36287C211yesmaximal, characteristic, complemented
25#36039C212yesmaximal, complemented
26#36026C212yesmaximal, complemented
27#36017C212yesmaximal, complemented
28#36017C212yesmaximal, complemented
29#35297C211yesmaximal, characteristic, complemented
30#35269C212yesmaximal, complemented
31#34629C212yesmaximal, complemented
32#34614C211yesmaximal, characteristic
33#34243C211yesmaximal, characteristic, complemented
34#34213C211yesmaximal, characteristic, complemented
35#34121C211yesmaximal, characteristic, complemented
36C2×#533C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2863C2212yes—
40#2861C2212yes—
41#2860C2212yes—
42#2859C2212yes—
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2845C2214yes—
48#2831C2214yes—
49#2829C2214yes—
50#2827C2214yes—
51#2827C2214yes—
52#2814C2214yes—
53#2801C2214yes—
54#2795C2214yes—
55#2793C2214yes—
56#2791C2214yes—
57#2790C2214yes—
58#2783C2214yes—
59#2783C2214yes—
60#2781C2214yes—
61#2777C2214yes—
62#2776C2214yes—
63#2770C2214yes—
64#2769C2214yes—
65#2767C2214yes—
66#2764C2214yes—
67#2762C2214yes—
68#2746C2214yes—
69#2744C2214yes—
70#2744C2214yes—
71#2725C2214yes—
72#2721C2214yes—
73#2719C2214yes—
74#2718C2214yes—
75#2689C2214yes—
76#2687C2214yes—
77#2666C2214yes—
78#2666C2214yes—
79#2655C2214yes—
80#2655C2214yes—
81#2652C2214yes—
82#2652C2214yes—
83#2651C2214yes—
84#2651C2214yes—
85#2648C2214yes—
86#2648C2214yes—
87#2647C2212yes—
88#2645C2212yes—
89#2645C2212yes—
90#2642C2212yes—
91#2637C2214yes—
92#2637C2212yes—
93#2636C2214yes—
94#2636C2212yes—
95#2630C2214yes—
96#2630C2212yes—
97#2630C2212yes—
98#2629C2212yes—
99#2629C2212yes—
100#2629C2212yes—
101#2629C2212yes—
102#2629C2212yes—
103#2629C2212yes—
104#2629C2214yes—
105#2629C2211yescharacteristic
106#2629C2211yescharacteristic
107#2625C2211yescharacteristic
108#2625C2212yes—
109#2624C2211yescharacteristic
110#2621C2212yes—
111#2620C2212yes—
112#2620C2211yescharacteristic
113#2620C2211yescharacteristic
114#2616C2211yescharacteristic
115#2616C2212yes—
116#2615C2211yescharacteristic
117#2612C2214yes—
118#2606C2214yes—
119#2606C2214yes—
120#2594C2214yes—
121#2594C2214yes—
122#2593C2214yes—
123#2593C2214yes—
124#2587C2214yes—
125#2584C2212yes—
126#2581C2212yes—
127#2574C2214yes—
128#2571C2212yes—
129#2571C2212yes—
130#2570C2214yes—
131#2567C2211yescharacteristic
132#2565C2212yes—
133#2563C2211yescharacteristic
134#2562C2212yes—
135#2562C2212yes—
136#2562C2212yes—
137#2560C2214yes—
138#2558C2214yes—
139#2556C2214yes—
140#2554C2214yes—
141#2552C2211yescharacteristic
142#2552C2211yescharacteristic
143#2552C2212yes—
144#2552C2212yes—
145#2552C2212yes—
146#2552C2212yes—
147#2552C2211yescharacteristic
148#2552C2211yescharacteristic
149#2547C2211yescharacteristic
150#2546C2211yescharacteristic
151#2545C2212yes—
152#2536C2212yes—
153#2532C2214yes—
154#2531C2214yes—
155#2529C2214yes—
156#2529C2214yes—
157#2529C2214yes—
158#2526C2214yes—
159#2525C2214yes—
160#2525C2214yes—
161#2524C2214yes—
162#2524C2214yes—
163#2522C2214yes—
164#2522C2214yes—
165#2519C2214yes—
166#2519C2214yes—
167#2518C2214yes—
168#2518C2214yes—
169#2518C2214yes—
170#2518C2214yes—
171#2515C2214yes—
172#2509C2212yes—
173#2508C2212yes—
174#2507C2212yes—
175#2506C2212yes—
176#2497C2212yes—
177#2497C2212yes—
178#2497C2212yes—
179#2497C2214yes—
180#2496C2212yes—
181#2496C2212yes—
182#2496C2212yes—
183#2495C2212yes—
184#2495C2212yes—
185#2495C2212yes—
186#2495C2212yes—
187#2494C2212yes—
188#2494C2212yes—
189#2490C2212yes—
190#2489C2212yes—
191#2489C2212yes—
192#2489C2212yes—
193#2487C2212yes—
194#2486C2212yes—
195#2485C2212yes—
196#2485C2212yes—
197#2485C2212yes—
198#2485C2212yes—
199#2485C2212yes—
200#2485C2212yes—
201#2466C2214yes—
202#2460C2214yes—
203#2442C2212yes—
204#2442C2212yes—
205#2441C2212yes—
206#2441C2212yes—
207#2429C2212yes—
208#2429C2212yes—
209#2427C2212yes—
210#2426C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2423C2212yes—
214#2422C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2402C2214yes—
218#2402C2214yes—
219#2401C2214yes—
220#2401C2214yes—
221#2396C2212yes—
222#2392C2212yes—
223#2392C2212yes—
224#2392C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2370C2212yes—
230#2369C2211yescharacteristic
231#2369C2211yescharacteristic
232#2367C2212yes—
233#2365C2211yescharacteristic
234#2365C2211yescharacteristic
235#2359C2214yes—
236#2357C2212yes—
237#2356C2212yes—
238#2355C2211yescharacteristic
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2355C2212yes—
242#2355C2214yes—
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic
245#2354C2212yes—
246#2354C2211yescharacteristic
247#2354C2212yes—
248#2353C2212yes—
249#2353C2212yes—
250#2352C2211yescharacteristic
251#2352C2211yescharacteristic
252#2352C2211yescharacteristic
253#2352C2211yescharacteristic
254#2352C2212yes—
255Q8×C4⋊C4C2212yes—
256Q8×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2212yes—
258D4×C4⋊C4C2211yescharacteristic
259#2347C2212yes—
260#2347C2212yes—
261#2346C2212yes—
262#2346C2212yes—
263#2334C2214yes—
264#2330C2212yes—
265#2329C2214yes—
266#2326C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2320C2212yes—
270#2319C2212yes—
271#2317C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2212yes—
274C4×#125C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283#2298C2212yes—
284#2298C2212yes—
285#2297C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2283C2211yescharacteristic
292#2283C2211yescharacteristic
293#2274C2212yes—
294#2274C2212yes—
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#533—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304#529—28no—
305C2×#126C2312yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#125C2312yes—
309C2×#125C2311yescharacteristic
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×#124C2311yescharacteristic
317C2×#124C2312yes—
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C4×#41—28no—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2312yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2312yes—
369C22×C42C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2312yes—
372C22×C42C2311yescharacteristic
373#401C2314yes—
374#401C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2312yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2314yes—
457#396C2312yes—
458#396C2312yes—
459#396C2312yes—
460#396C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2312yes—
465#396C2312yes—
466#396C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2312yes—
488#393C2314yes—
489#393C2312yes—
490#392C2312yes—
491#392C2312yes—
492#392C2312yes—
493#391C2314yes—
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2311yescharacteristic
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
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#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2312yes—
658#386C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#384C2312yes—
670#384C2312yes—
671#384C2312yes—
672#384C2314yes—
673#384C2312yes—
674#384C2312yes—
675#384C2314yes—
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#383C2312yes—
687#383C2312yes—
688#383C2314yes—
689#382C2312yes—
690#382C2312yes—
691#382C2314yes—
692#382C2314yes—
693#382C2311yescharacteristic
694#382C2311yescharacteristic
695#382C2314yes—
696#382C2314yes—
697#382C2314yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2314yes—
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#381C2314yes—
705#381C2312yes—
706#381C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2312yes—
813C2×#41—24no—
814C2×#41—42no—
815C2×#41—42no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—44no—
843#126—28no—
844#126—84no—
845#126—84no—
846#125—24no—
847#125—28no—
848#125—44no—
849#125—44no—
850#125—44no—
851#125—44no—
852#125—84no—
853#125—84no—
854#124—24no—
855#124—44no—
856#123—28no—
857#123—84no—
858C22⋊Q8—24no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—44no—
862C22⋊Q8—42no—
863C22⋊Q8—42no—
864C22⋊Q8—44no—
865C22⋊Q8—82no—
866C22⋊Q8—82no—
867#121—24no—
868#121—42no—
869#121—42no—
870C4×Q8—24no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—28no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×D4—24no—
879C4×D4—24no—
880C4×D4—24no—
881C4×D4—24no—
882C4×D4—28no—
883C4×D4—24no—
884C4×D4—24no—
885C4×D4—24no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—84no—
890#117—24no—
891#117—28no—
892#117—24no—
893#117—28no—
894#117—24no—
895#117—24no—
896#117—24no—
897#117—28no—
898#117—44no—
899#117—44no—
900#117—42no—
901#117—42no—
902#117—82no—
903C2×C4⋊C4—24no—
904C2×C4⋊C4—42no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C42—24no—
1034C2×C42—24no—
1035C2×C42—44no—
1036C2×C42#4118yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149C24C2512yes—
1150C24C2511yescharacteristic
1151C24C2511yescharacteristic
1152C24C2511yescharacteristic
1153#41—416no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—22no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—22no—
1162C2×Q8—41no—
1163C2×Q8—41no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—24no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—42no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4C2×#4114yes—
1224C22×C4C2×#4114yes—
1225C22×C4C2×#4114yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2514yes—
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C42−1+414yes—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—24no—
1391C42—28no—
1392C42—24no—
1393C42—24no—
1394C42—28no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—42no—
1402C42—42no—
1403C42—42no—
1404C42—44no—
1405C42—42no—
1406C42—44no—
1407C42—42no—
1408C42—42no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C42—44no—
1414C42—42no—
1415C42—42no—
1416C42C2×#4114yes—
1417C42C2×#4114yes—
1418C42C2×#4114yes—
1419C42C2×#4114yes—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—22no—
1427C23—21no—
1428C23—21no—
1429C23—22no—
1430C23—21no—
1431C23—21no—
1432C23—22no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—22no—
1438C23—22no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—22no—
1444C23—21no—
1445C23—22no—
1446C23—21no—
1447C23C22×#4112yes—
1448C23C2611yescharacteristic
1449Q8—44no—
1450Q8—44no—
1451Q8—48no—
1452Q8—84no—
1453D4—44no—
1454D4—48no—
1455D4—44no—
1456D4—44no—
1457D4—44no—
1458D4—84no—
1459D4—84no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—28no—
1471C2×C4—28no—
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—24no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
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—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—48no—
1548C2×C4—44no—
1549C2×C4—44no—
1550C2×C4—82no—
1551C2×C4—82no—
1552C2×C4—84no—
1553C2×C4—84no—
1554C2×C4—164no—
1555C2×C4C22×#4112yes—
1556C2×C4C22×#4112yes—
1557C2×C4C22×#4112yes—
1558C2×C4C22×#4112yes—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4112yes—
1561C2×C4C2×2−1+414yes—
1562C2×C4C2×2−1+412yes—
1563C2×C4#58512yes—
1564C2×C4#58512yes—
1565C2×C4#58512yes—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—42no—
1576C22—41no—
1577C22—41no—
1578C22—42no—
1579C22—42no—
1580C22—41no—
1581C22—41no—
1582C22—42no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—42no—
1587C22—41no—
1588C22—41no—
1589C22—42no—
1590C22—41no—
1591C22—42no—
1592C22—41no—
1593C22—41no—
1594C22C23×#4111yescharacteristic
1595C22C22×2−1+411yescharacteristic
1596C22C2×#58511yescharacteristic
1597C22C2×#58511yescharacteristic
1598C22C2×#58511yescharacteristic
1599C22H(7,𝔽2)11yescharacteristic
1600C222−1+611yescharacteristic
1601C4—22no—
1602C4—22no—
1603C4—22no—
1604C4—22no—
1605C4—24no—
1606C4—41no—
1607C4—41no—
1608C4—42no—
1609C4—44no—
1610C4—41no—
1611C4—41no—
1612C4—42no—
1613C4—44no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—44no—
1618C4—42no—
1619C4—41no—
1620C4—41no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—44no—
1630C4#346114yes—
1631C4#349314yes—
1632C2—42no—
1633C2—81no—
1634C2—81no—
1635C2—82no—
1636C2C2×#346111yescharacteristic
1637C2C2×#349311yescharacteristic
1638C2#6285611yescharacteristic
1639C2#6293711yescharacteristic
1640C2#6293911yescharacteristic
1641C2#6295011yescharacteristic
1642C2#6295211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2615C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42663C2semidirect
2. #42662C2semidirect
3. #42507C2semidirect
4. #42501C2semidirect
5. #41722C2semidirect
6. #41713C2semidirect
7. #41667C2semidirect
8. #41657C2semidirect
9. #39299C2semidirect
10. #39281C2semidirect
11. #39157C2semidirect
12. #39146C2semidirect
13. #38943C2semidirect
14. #38932C2semidirect
15. #38289C2semidirect
16. #38275C2semidirect
17. #37643C2semidirect
18. #37633C2semidirect
19. #37519C2semidirect
21. #36481C2semidirect
22. #36459C2semidirect
23. #36315C2semidirect
24. #36287C2semidirect
25. #36039C2semidirect
26. #36026C2semidirect
27. #36017C2semidirect
28. #36017C2semidirect
29. #35297C2semidirect
30. #35269C2semidirect
31. #34629C2semidirect
33. #34243C2semidirect
34. #34213C2semidirect
35. #34121C2semidirect

Maximal subgroups

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

subgroupindex
#426632
#426622
#425072
#425012
#417222
#417132
#416672
#416572
#392992
#392812
#391572
#391462
#389432
#389322
#382892
#382752
#376432
#376332
#375192
#375122
#364812
#364592
#363152
#362872
#360392
#360262
#360172
#352972
#352692
#346292
#346142
#342432
#342132
#341212