Finite Group Databasebeta

← #7647626

Subgroups — #7647626

Order 512.

4464 conjugacy classes of subgroups.

The subgroup lattice has 1640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41040C214yesmaximal, complemented
2#41037C214yesmaximal, complemented
3#41011C214yesmaximal, complemented
4#41008C214yesmaximal, complemented
5#39822C212yesmaximal, complemented
6#39554C212yesmaximal, complemented
7#39286C212yesmaximal, complemented
8#39056C212yesmaximal, complemented
9#38272C212yesmaximal, complemented
10#38212C212yesmaximal, complemented
11#37980C212yesmaximal, complemented
12#37944C212yesmaximal, complemented
13#37640C211yesmaximal, characteristic, complemented
14#37638C211yesmaximal, characteristic, complemented
15#37625C211yesmaximal, characteristic, complemented
16#37622C211yesmaximal, characteristic, complemented
17#37430C212yesmaximal, complemented
18#37368C212yesmaximal, complemented
19#37367C212yesmaximal, complemented
20#37318C212yesmaximal, complemented
21#35615C212yesmaximal, complemented
22#35612C212yesmaximal, complemented
23#35340C212yesmaximal, complemented
24#35295C212yesmaximal, complemented
25#35238C211yesmaximal, characteristic
26#35208C211yesmaximal, characteristic, complemented
27#35197C211yesmaximal, characteristic, complemented
28#35186C211yesmaximal, characteristic, complemented
29#35185C211yesmaximal, characteristic, complemented
30#35181C211yesmaximal, characteristic, complemented
31#34954C211yesmaximal, characteristic, complemented
32#34941C211yesmaximal, characteristic, complemented
33#34226C211yesmaximal, characteristic, complemented
34#34145C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×#533C2211yescharacteristic
37C2×#532C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2864C2212yes—
40#2863C2212yes—
41#2861C2212yes—
42#2860C2212yes—
43#2860C2212yes—
44#2859C2212yes—
45#2856C2212yes—
46#2854C2212yes—
47#2851C2212yes—
48#2851C2212yes—
49#2850C2212yes—
50#2850C2212yes—
51#2833C2214yes—
52#2829C2214yes—
53#2820C2214yes—
54#2814C2214yes—
55#2801C2214yes—
56#2796C2214yes—
57#2796C2214yes—
58#2796C2214yes—
59#2795C2214yes—
60#2787C2214yes—
61#2783C2214yes—
62#2782C2214yes—
63#2779C2214yes—
64#2777C2214yes—
65#2773C2214yes—
66#2772C2214yes—
67#2772C2214yes—
68#2771C2214yes—
69#2757C2214yes—
70#2747C2214yes—
71#2746C2214yes—
72#2746C2214yes—
73#2741C2214yes—
74#2739C2214yes—
75#2725C2214yes—
76#2718C2214yes—
77#2711C2214yes—
78#2711C2214yes—
79#2708C2214yes—
80#2708C2214yes—
81#2702C2214yes—
82#2698C2214yes—
83#2694C2214yes—
84#2694C2214yes—
85#2690C2214yes—
86#2687C2214yes—
87#2666C2214yes—
88#2664C2214yes—
89#2662C2214yes—
90#2651C2214yes—
91#2650C2214yes—
92#2648C2214yes—
93#2647C2212yes—
94#2647C2212yes—
95#2646C2214yes—
96#2645C2212yes—
97#2645C2212yes—
98#2644C2212yes—
99#2641C2212yes—
100#2634C2214yes—
101#2630C2214yes—
102#2628C2212yes—
103#2625C2212yes—
104#2624C2212yes—
105#2624C2212yes—
106#2624C2212yes—
107#2624C2212yes—
108#2621C2212yes—
109#2620C2212yes—
110#2620C2212yes—
111#2620C2212yes—
112#2616C2214yes—
113#2608C2214yes—
114#2597C2214yes—
115#2597C2214yes—
116#2597C2214yes—
117#2596C2214yes—
118#2595C2214yes—
119#2594C2214yes—
120#2593C2214yes—
121#2592C2212yes—
122#2587C2214yes—
123#2584C2212yes—
124#2582C2211yescharacteristic
125#2582C2211yescharacteristic
126#2578C2214yes—
127#2578C2214yes—
128#2577C2214yes—
129#2576C2214yes—
130#2576C2214yes—
131#2575C2214yes—
132#2574C2214yes—
133#2571C2211yescharacteristic
134#2571C2212yes—
135#2571C2211yescharacteristic
136#2570C2214yes—
137#2570C2212yes—
138#2570C2212yes—
139#2569C2214yes—
140#2567C2211yescharacteristic
141#2567C2211yescharacteristic
142#2567C2211yescharacteristic
143#2566C2212yes—
144#2563C2211yescharacteristic
145#2559C2214yes—
146#2559C2214yes—
147#2556C2214yes—
148#2552C2212yes—
149#2552C2211yescharacteristic
150#2552C2211yescharacteristic
151#2548C2211yescharacteristic
152#2548C2211yescharacteristic
153#2548C2211yescharacteristic
154#2547C2212yes—
155#2544C2212yes—
156#2542C2212yes—
157#2541C2211yescharacteristic
158#2538C2212yes—
159#2538C2212yes—
160#2538C2211yescharacteristic
161#2538C2211yescharacteristic
162#2522C2214yes—
163#2518C2214yes—
164#2518C2214yes—
165#2514C2212yes—
166#2514C2212yes—
167#2513C2212yes—
168#2513C2212yes—
169#2513C2212yes—
170#2513C2212yes—
171#2512C2212yes—
172#2511C2212yes—
173#2510C2214yes—
174#2509C2212yes—
175#2508C2212yes—
176#2507C2212yes—
177#2506C2212yes—
178#2506C2212yes—
179#2506C2212yes—
180#2497C2214yes—
181#2497C2212yes—
182#2496C2212yes—
183#2488C2214yes—
184#2479C2214yes—
185#2479C2214yes—
186#2477C2214yes—
187#2476C2214yes—
188#2476C2214yes—
189#2470C2214yes—
190#2469C2214yes—
191#2468C2214yes—
192#2462C2214yes—
193#2457C2214yes—
194#2454C2212yes—
195#2454C2212yes—
196#2454C2212yes—
197#2453C2212yes—
198#2448C2212yes—
199#2448C2212yes—
200#2448C2212yes—
201#2447C2212yes—
202#2445C2212yes—
203#2445C2212yes—
204#2441C2214yes—
205#2438C2214yes—
206#2430C2214yes—
207#2427C2212yes—
208#2427C2212yes—
209#2423C2212yes—
210#2422C2212yes—
211#2421C2212yes—
212#2420C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2396C2214yes—
218#2395C2214yes—
219#2370C2212yes—
220#2370C2212yes—
221#2369C2211yescharacteristic
222#2369C2211yescharacteristic
223#2368C2212yes—
224#2368C2212yes—
225#2367C2212yes—
226#2367C2212yes—
227#2365C2211yescharacteristic
228#2365C2211yescharacteristic
229#2363C2212yes—
230#2363C2212yes—
231#2360C2211yescharacteristic
232#2360C2211yescharacteristic
233#2360C2211yescharacteristic
234#2360C2211yescharacteristic
235#2357C2212yes—
236#2349C2212yes—
237#2341C2212yes—
238#2339C2212yes—
239#2335C2212yes—
240#2335C2212yes—
241#2334C2212yes—
242#2334C2212yes—
243#2330C2211yescharacteristic
244#2330C2212yes—
245#2330C2211yescharacteristic
246#2328C2212yes—
247#2326C2211yescharacteristic
248#2326C2211yescharacteristic
249#2326C2212yes—
250#2324C2212yes—
251#2324C2211yescharacteristic
252#2324C2211yescharacteristic
253#2324C2212yes—
254#2324C2212yes—
255#2324C2212yes—
256#2323C2211yescharacteristic
257#2323C2211yescharacteristic
258#2323C2212yes—
259#2320C2212yes—
260#2319C2212yes—
261#2319C2212yes—
262#2319C2212yes—
263#2317C2212yes—
264#2317C2212yes—
265#2314C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×#127C2211yescharacteristic
269C4×#127C2211yescharacteristic
270C4×#125C2212yes—
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×C22⋊Q8C2212yes—
274#2298C2212yes—
275#2296C2212yes—
276#2296C2212yes—
277#2295C2211yescharacteristic
278#2295C2211yescharacteristic
279#2295C2212yes—
280#2295C2211yescharacteristic
281#2295C2212yes—
282#2293C2212yes—
283#2293C2212yes—
284#2293C2212yes—
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2290C2212yes—
288#2285C2211yescharacteristic
289#2285C2212yes—
290#2285C2211yescharacteristic
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#533—28no—
301#532—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×#127C2311yescharacteristic
306C2×#127C2312yes—
307#529—28no—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#123C2312yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×#121C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2314yes—
372C2×#117C2314yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C42C2312yes—
376C22×C42C2312yes—
377C22×C42C2311yescharacteristic
378#401C2314yes—
379#401C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
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#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#393C2314yes—
472#393C2314yes—
473#392C2314yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2314yes—
512#390C2314yes—
513#390C2314yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2314yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2314yes—
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#383C2314yes—
707#383C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2312yes—
806C2×#95C2314yes—
807C2×#95C2312yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C2×#41—28no—
814C2×#41—82no—
815C2×#41—82no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2414yes—
827C22×D4C2414yes—
828C22×D4C2414yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843#127—24no—
844#127—44no—
845#126—28no—
846#126—84no—
847#126—84no—
848#125—24no—
849#125—28no—
850#125—44no—
851#125—44no—
852#125—84no—
853#125—84no—
854#124—24no—
855#124—28no—
856#124—44no—
857#124—44no—
858#124—44no—
859#123—28no—
860#123—84no—
861#123—84no—
862C22⋊Q8—24no—
863C22⋊Q8—24no—
864C22⋊Q8—24no—
865C22⋊Q8—28no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—84no—
869C22⋊Q8—84no—
870#121—24no—
871#121—28no—
872#121—28no—
873#121—44no—
874#121—44no—
875#121—84no—
876#121—84no—
877C4×Q8—24no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—42no—
883C4×Q8—42no—
884C4×Q8—42no—
885C4×Q8—42no—
886C4×Q8—42no—
887C4×Q8—82no—
888C4×Q8—82no—
889C4×D4—28no—
890C4×D4—24no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—44no—
896C4×D4—42no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—82no—
900C4×D4—82no—
901#117—28no—
902#117—28no—
903#117—24no—
904#117—44no—
905#117—44no—
906#117—42no—
907#117—44no—
908#117—84no—
909#117—84no—
910C2×C4⋊C4—42no—
911C2×C4⋊C4—42no—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C42—44no—
1036C2×C42—44no—
1037C2×C42#4118yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2412yes—
1098#95C2411yescharacteristic
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154C24C2512yes—
1155C24C2514yes—
1156C24C2511yescharacteristic
1157#41—816no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—22no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8—42no—
1173C2×D4—24no—
1174C2×D4—28no—
1175C2×D4—22no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—22no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—22no—
1184C2×D4—24no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—28no—
1206C22×C4—28no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—42no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4C2×#4114yes—
1228C22×C4C2×#4114yes—
1229C22×C4C2×#4114yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2514yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2514yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
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—24no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—41no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—41no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C42—24no—
1386C42—24no—
1387C42—24no—
1388C42—22no—
1389C42—24no—
1390C42—22no—
1391C42—24no—
1392C42—24no—
1393C42—24no—
1394C42—22no—
1395C42—24no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—42no—
1401C42—42no—
1402C42—42no—
1403C42—42no—
1404C42—44no—
1405C42—42no—
1406C42—42no—
1407C42—42no—
1408C42—44no—
1409C42—41no—
1410C42—41no—
1411C42—42no—
1412C42—42no—
1413C42—42no—
1414C42—42no—
1415C42—42no—
1416C42—41no—
1417C42—41no—
1418C42—44no—
1419C42—42no—
1420C42—42no—
1421C42—42no—
1422C42C2×#4114yes—
1423C42C2×#4114yes—
1424C42C2×#4114yes—
1425C42C2×#4114yes—
1426C422−1+414yes—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—22no—
1434C23—24no—
1435C23—22no—
1436C23—24no—
1437C23—24no—
1438C23—22no—
1439C23—24no—
1440C23—24no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—24no—
1446C23—24no—
1447C23C22×#4112yes—
1448C23C2611yescharacteristic
1449Q8—48no—
1450Q8—44no—
1451Q8—44no—
1452Q8—44no—
1453Q8—84no—
1454D4—48no—
1455D4—44no—
1456D4—48no—
1457D4—48no—
1458D4—84no—
1459D4—88no—
1460D4—164no—
1461D4—164no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—28no—
1475C2×C4—28no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—44no—
1549C2×C4—48no—
1550C2×C4—48no—
1551C2×C4—88no—
1552C2×C4—88no—
1553C2×C4—84no—
1554C2×C4—84no—
1555C2×C4—84no—
1556C2×C4—164no—
1557C2×C4C22×#4112yes—
1558C2×C4C22×#4112yes—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4112yes—
1563C2×C4C2×2−1+412yes—
1564C2×C4C2×2−1+412yes—
1565C2×C4C2×2−1+412yes—
1566C2×C4#58512yes—
1567C2×C4#58512yes—
1568C2×C4#58512yes—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—42no—
1577C22—44no—
1578C22—44no—
1579C22—42no—
1580C22—42no—
1581C22—44no—
1582C22—42no—
1583C22—44no—
1584C22—42no—
1585C22—44no—
1586C22—44no—
1587C22—42no—
1588C22—44no—
1589C22—42no—
1590C22C23×#4111yescharacteristic
1591C22C22×2−1+411yescharacteristic
1592C22C2×#58511yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22H(7,𝔽2)11yescharacteristic
1596C22H(7,𝔽2)11yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—44no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—41no—
1611C4—42no—
1612C4—42no—
1613C4—41no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—41no—
1618C4—42no—
1619C4—42no—
1620C4—41no—
1621C4—44no—
1622C4—41no—
1623C4—42no—
1624C4—42no—
1625C4—44no—
1626C4—41no—
1627C4#346114yes—
1628C4#351214yes—
1629C2—42no—
1630C2—82no—
1631C2—84no—
1632C2C2×#346111yescharacteristic
1633C2C2×#351211yescharacteristic
1634C2#6285511yescharacteristic
1635C2#6292611yescharacteristic
1636C2#6293711yescharacteristic
1637C2#6296211yescharacteristic
1638C2#6296611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35238C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #41040C2semidirect
2. #41037C2semidirect
3. #41011C2semidirect
4. #41008C2semidirect
5. #39822C2semidirect
6. #39554C2semidirect
7. #39286C2semidirect
8. #39056C2semidirect
9. #38272C2semidirect
10. #38212C2semidirect
11. #37980C2semidirect
12. #37944C2semidirect
13. #37640C2semidirect
14. #37638C2semidirect
15. #37625C2semidirect
16. #37622C2semidirect
17. #37430C2semidirect
18. #37368C2semidirect
19. #37367C2semidirect
20. #37318C2semidirect
21. #35615C2semidirect
22. #35612C2semidirect
23. #35340C2semidirect
24. #35295C2semidirect
26. #35208C2semidirect
27. #35197C2semidirect
28. #35186C2semidirect
29. #35185C2semidirect
30. #35181C2semidirect
31. #34954C2semidirect
32. #34941C2semidirect
33. #34226C2semidirect
34. #34145C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#410402
#410372
#410112
#410082
#398222
#395542
#392862
#390562
#382722
#382122
#379802
#379442
#376402
#376382
#376252
#376222
#374302
#373682
#373672
#373182
#356152
#356122
#353402
#352952
#352382
#352082
#351972
#351862
#351852
#351812
#349542
#349412
#342262
#341452
#340842