Finite Group Databasebeta

← #7646670

Subgroups — #7646670

Order 512.

4779 conjugacy classes of subgroups.

The subgroup lattice has 1695 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42906C212yesmaximal, complemented
2#42900C212yesmaximal, complemented
3#42599C212yesmaximal, complemented
4#42557C212yesmaximal, complemented
5#41278C214yesmaximal, complemented
6#41195C214yesmaximal, complemented
7#39808C212yesmaximal, complemented
8#39771C211yesmaximal, characteristic, complemented
9#39747C211yesmaximal, characteristic, complemented
10#39727C211yesmaximal, characteristic, complemented
11#39725C211yesmaximal, characteristic, complemented
12#39280C212yesmaximal, complemented
13#39180C211yesmaximal, characteristic, complemented
14#39146C211yesmaximal, characteristic, complemented
15#38975C211yesmaximal, characteristic, complemented
16#38942C211yesmaximal, characteristic, complemented
17#38290C212yesmaximal, complemented
18#38230C212yesmaximal, complemented
19#37587C212yesmaximal, complemented
20#37572C212yesmaximal, complemented
21#37089C214yesmaximal, complemented
22#37055C214yesmaximal, complemented
23#35654C212yesmaximal, complemented
24#35520C212yesmaximal, complemented
25#35288C211yesmaximal, characteristic, complemented
26#35216C212yesmaximal, complemented
27#35212C212yesmaximal, complemented
28#35186C212yesmaximal, complemented
29#35184C211yesmaximal, characteristic, complemented
30#35164C212yesmaximal, complemented
31#34934C211yesmaximal, characteristic, complemented
32#34914C211yesmaximal, characteristic, complemented
33#34313C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34085C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#529C2212yes—
40C2×#529C2212yes—
41C2×#520C2212yes—
42#2866C2214yes—
43#2863C2212yes—
44#2861C2214yes—
45#2861C2212yes—
46#2860C2214yes—
47#2860C2214yes—
48#2859C2211yescharacteristic
49#2858C2211yescharacteristic
50#2857C2211yescharacteristic
51#2856C2211yescharacteristic
52#2837C2214yes—
53#2832C2214yes—
54#2829C2214yes—
55#2828C2214yes—
56#2808C2214yes—
57#2803C2214yes—
58#2803C2214yes—
59#2803C2214yes—
60#2797C2214yes—
61#2796C2214yes—
62#2787C2214yes—
63#2786C2214yes—
64#2770C2214yes—
65#2770C2214yes—
66#2764C2214yes—
67#2761C2214yes—
68#2757C2214yes—
69#2756C2214yes—
70#2756C2214yes—
71#2756C2214yes—
72#2755C2214yes—
73#2751C2214yes—
74#2746C2214yes—
75#2738C2214yes—
76#2737C2214yes—
77#2726C2214yes—
78#2725C2214yes—
79#2714C2214yes—
80#2714C2214yes—
81#2711C2214yes—
82#2711C2214yes—
83#2710C2214yes—
84#2707C2214yes—
85#2702C2214yes—
86#2699C2214yes—
87#2676C2214yes—
88#2663C2214yes—
89#2661C2214yes—
90#2657C2212yes—
91#2654C2214yes—
92#2654C2214yes—
93#2653C2214yes—
94#2653C2214yes—
95#2651C2214yes—
96#2651C2214yes—
97#2651C2214yes—
98#2649C2214yes—
99#2648C2214yes—
100#2647C2212yes—
101#2645C2212yes—
102#2644C2212yes—
103#2644C2212yes—
104#2641C2212yes—
105#2640C2212yes—
106#2635C2214yes—
107#2630C2214yes—
108#2624C2212yes—
109#2620C2212yes—
110#2619C2212yes—
111#2611C2214yes—
112#2610C2214yes—
113#2602C2214yes—
114#2602C2214yes—
115#2600C2214yes—
116#2595C2214yes—
117#2592C2212yes—
118#2592C2212yes—
119#2587C2214yes—
120#2584C2212yes—
121#2582C2212yes—
122#2582C2212yes—
123#2580C2212yes—
124#2580C2212yes—
125#2579C2214yes—
126#2568C2211yescharacteristic
127#2562C2212yes—
128#2560C2212yes—
129#2559C2212yes—
130#2558C2212yes—
131#2557C2212yes—
132#2554C2214yes—
133#2552C2211yescharacteristic
134#2552C2212yes—
135#2552C2211yescharacteristic
136#2550C2212yes—
137#2548C2211yescharacteristic
138#2548C2212yes—
139#2548C2212yes—
140#2547C2211yescharacteristic
141#2544C2212yes—
142#2541C2211yescharacteristic
143#2540C2212yes—
144#2538C2211yescharacteristic
145#2538C2211yescharacteristic
146#2537C2212yes—
147#2536C2212yes—
148#2531C2214yes—
149#2527C2214yes—
150#2525C2214yes—
151#2513C2212yes—
152#2513C2212yes—
153#2512C2211yescharacteristic
154#2512C2212yes—
155#2507C2212yes—
156#2506C2212yes—
157#2506C2211yescharacteristic
158#2500C2212yes—
159#2496C2211yescharacteristic
160#2495C2212yes—
161#2494C2212yes—
162#2491C2212yes—
163#2491C2211yescharacteristic
164#2490C2212yes—
165#2490C2212yes—
166#2490C2212yes—
167#2487C2212yes—
168#2486C2212yes—
169#2485C2212yes—
170#2485C2214yes—
171#2484C2214yes—
172#2479C2214yes—
173#2478C2214yes—
174#2477C2214yes—
175#2473C2214yes—
176#2470C2214yes—
177#2468C2214yes—
178#2468C2214yes—
179#2464C2214yes—
180#2460C2214yes—
181#2459C2214yes—
182#2459C2214yes—
183#2457C2214yes—
184#2455C2214yes—
185#2454C2214yes—
186#2454C2212yes—
187#2453C2212yes—
188#2453C2212yes—
189#2452C2211yescharacteristic
190#2448C2212yes—
191#2448C2212yes—
192#2448C2212yes—
193#2447C2212yes—
194#2447C2214yes—
195#2447C2212yes—
196#2447C2212yes—
197#2445C2212yes—
198#2445C2211yescharacteristic
199#2445C2212yes—
200#2443C2214yes—
201#2442C2212yes—
202#2439C2212yes—
203#2432C2212yes—
204#2429C2212yes—
205#2428C2212yes—
206#2428C2211yescharacteristic
207#2427C2212yes—
208#2427C2212yes—
209#2426C2212yes—
210#2426C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2422C2211yescharacteristic
214#2420C2212yes—
215#2420C2212yes—
216#2417C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2414C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2398C2212yes—
226#2392C2212yes—
227#2392C2214yes—
228#2373C2214yes—
229#2367C2212yes—
230#2366C2211yescharacteristic
231#2366C2212yes—
232#2365C2211yescharacteristic
233#2362C2212yes—
234#2361C2212yes—
235#2361C2214yes—
236#2356C2212yes—
237#2355C2211yescharacteristic
238#2354C2211yescharacteristic
239Q8×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2212yes—
242#2347C2212yes—
243#2341C2212yes—
244#2336C2212yes—
245#2336C2212yes—
246#2332C2212yes—
247#2332C2212yes—
248#2331C2211yescharacteristic
249#2331C2211yescharacteristic
250#2330C2212yes—
251#2327C2211yescharacteristic
252#2327C2211yescharacteristic
253#2326C2212yes—
254#2326C2212yes—
255#2326C2212yes—
256#2324C2212yes—
257#2324C2214yes—
258#2324C2212yes—
259#2324C2212yes—
260#2323C2211yescharacteristic
261#2323C2211yescharacteristic
262#2323C2211yescharacteristic
263#2323C2211yescharacteristic
264#2323C2212yes—
265#2323C2212yes—
266#2319C2212yes—
267#2319C2212yes—
268#2319C2212yes—
269#2314C2212yes—
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×#127C2212yes—
273C4×#127C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#127C2212yes—
276C4×#126C2214yes—
277C4×#124C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282#2298C2212yes—
283#2298C2212yes—
284#2295C2211yescharacteristic
285#2295C2211yescharacteristic
286#2295C2212yes—
287#2295C2212yes—
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2293C2212yes—
291#2290C2212yes—
292#2283C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300#556—28no—
301#550—28no—
302#533—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309C2×#127C2312yes—
310C2×#127C2311yescharacteristic
311#529—48no—
312#529—48no—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353#520—48no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2314yes—
392C2×#117C2312yes—
393C2×#117C2314yes—
394C22×C4⋊C4C2314yes—
395C22×C4⋊C4C2312yes—
396C22×C42C2311yescharacteristic
397C22×C42C2312yes—
398#401C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2314yes—
407#400C2312yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2314yes—
456#396C2314yes—
457#395C2314yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#393C2312yes—
488#393C2312yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#392C2312yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2312yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2314yes—
525#390C2311yescharacteristic
526#390C2314yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2314yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2311yescharacteristic
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2311yescharacteristic
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2312yes—
702#385C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2312yes—
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2312yes—
726#383C2314yes—
727#383C2312yes—
728#383C2314yes—
729#382C2312yes—
730#382C2312yes—
731#382C2311yescharacteristic
732#382C2311yescharacteristic
733#382C2312yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#381C2312yes—
738#381C2314yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2311yescharacteristic
810#376C2314yes—
811C43C2314yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2312yes—
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2414yes—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—42no—
853#127—24no—
854#127—28no—
855#127—42no—
856#127—44no—
857#126—216no—
858#126—44no—
859#126—44no—
860#126—48no—
861#125—28no—
862#125—44no—
863#125—44no—
864#125—44no—
865#125—84no—
866#125—82no—
867#124—28no—
868#124—44no—
869#124—44no—
870#124—44no—
871#124—44no—
872#124—44no—
873#124—84no—
874#123—44no—
875#123—44no—
876#123—48no—
877#123—84no—
878C22⋊Q8—24no—
879C22⋊Q8—28no—
880C22⋊Q8—24no—
881C22⋊Q8—28no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886#121—28no—
887#121—216no—
888#121—44no—
889#121—44no—
890#121—42no—
891#121—42no—
892#121—44no—
893#121—44no—
894#121—44no—
895#121—84no—
896#121—82no—
897C4×Q8—28no—
898C4×Q8—24no—
899C4×Q8—28no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—44no—
903C4×Q8—42no—
904C4×Q8—42no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8#4118yes—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—48no—
914C4×D4—44no—
915C4×D4—42no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—42no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—48no—
925C4×D4—48no—
926C4×D4—82no—
927C4×D4—84no—
928C4×D4—84no—
929#117—28no—
930#117—28no—
931#117—28no—
932#117—24no—
933#117—42no—
934#117—48no—
935#117—48no—
936#117—44no—
937C2×C4⋊C4—48no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C42—24no—
1067C2×C42—28no—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2414yes—
1109#95C2411yescharacteristic
1110#95C2414yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2414yes—
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24C2512yes—
1175C24C2511yescharacteristic
1176C24C2512yes—
1177C24C2514yes—
1178#41—432no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8C2×#4114yes—
1194C2×D4—22no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—28no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—28no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—41no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4C2×#4114yes—
1366C4⋊C4C2×#4118yes—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—28no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—24no—
1431C42—28no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—22no—
1437C42—24no—
1438C42—24no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—24no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—24no—
1447C42—41no—
1448C42—42no—
1449C42—41no—
1450C42—42no—
1451C42—44no—
1452C42—44no—
1453C42—42no—
1454C42—41no—
1455C42—42no—
1456C42—44no—
1457C42—42no—
1458C42—44no—
1459C42—42no—
1460C42—44no—
1461C42—41no—
1462C42C2×#4114yes—
1463C42C2×#4118yes—
1464C42H(5,𝔽2)14yes—
1465C23—22no—
1466C23—21no—
1467C23—22no—
1468C23—24no—
1469C23—21no—
1470C23—22no—
1471C23—24no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—24no—
1476C23—22no—
1477C23—22no—
1478C23—24no—
1479C23—21no—
1480C23—22no—
1481C23—22no—
1482C23—24no—
1483C23—22no—
1484C23—21no—
1485C23—22no—
1486C23—22no—
1487C23—24no—
1488C23—21no—
1489C23—21no—
1490C23—24no—
1491C23—22no—
1492C23—22no—
1493C23C2611yescharacteristic
1494Q8—28no—
1495Q8—44no—
1496Q8—48no—
1497Q8—84no—
1498Q8—84no—
1499D4—416no—
1500D4—48no—
1501D4—44no—
1502D4—48no—
1503D4—44no—
1504D4—84no—
1505D4—88no—
1506D4—84no—
1507D4—84no—
1508D4—84no—
1509D4—88no—
1510D4—84no—
1511D4—88no—
1512D4—164no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—416no—
1596C2×C4—44no—
1597C2×C4—48no—
1598C2×C4—48no—
1599C2×C4—44no—
1600C2×C4—82no—
1601C2×C4—84no—
1602C2×C4—88no—
1603C2×C4—84no—
1604C2×C4—164no—
1605C2×C4—164no—
1606C2×C4C22×#4114yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4114yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×H(5,𝔽2)12yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4#58512yes—
1615C2×C4#58512yes—
1616C2×C4#58512yes—
1617C22—41no—
1618C22—42no—
1619C22—42no—
1620C22—44no—
1621C22—41no—
1622C22—42no—
1623C22—44no—
1624C22—42no—
1625C22—44no—
1626C22—42no—
1627C22—42no—
1628C22—41no—
1629C22—44no—
1630C22—42no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22—41no—
1635C22—42no—
1636C22—44no—
1637C22—42no—
1638C22—42no—
1639C22—41no—
1640C22—44no—
1641C22—42no—
1642C22—44no—
1643C22—41no—
1644C22—42no—
1645C22C23×#4111yescharacteristic
1646C22C22×H(5,𝔽2)11yescharacteristic
1647C22C2×#58511yescharacteristic
1648C22C2×#58511yescharacteristic
1649C22C2×#58511yescharacteristic
1650C22H(7,𝔽2)11yescharacteristic
1651C222−1+611yescharacteristic
1652C4—22no—
1653C4—24no—
1654C4—24no—
1655C4—22no—
1656C4—22no—
1657C4—41no—
1658C4—44no—
1659C4—41no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—44no—
1667C4—42no—
1668C4—42no—
1669C4—41no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—41no—
1674C4—42no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—42no—
1680C4—44no—
1681C4#346014yes—
1682C4#352414yes—
1683C2—81no—
1684C2—84no—
1685C2—82no—
1686C2—82no—
1687C2C2×#346011yescharacteristic
1688C2C2×#352411yescharacteristic
1689C2#6285711yescharacteristic
1690C2#6295511yescharacteristic
1691C2#6296011yescharacteristic
1692C2#6296711yescharacteristic
1693C2#6296911yescharacteristic
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. #42906C2semidirect
2. #42900C2semidirect
3. #42599C2semidirect
4. #42557C2semidirect
5. #41278C2semidirect
6. #41195C2semidirect
7. #39808C2semidirect
8. #39771C2semidirect
9. #39747C2semidirect
10. #39727C2semidirect
11. #39725C2semidirect
12. #39280C2semidirect
13. #39180C2semidirect
14. #39146C2semidirect
15. #38975C2semidirect
16. #38942C2semidirect
17. #38290C2semidirect
18. #38230C2semidirect
19. #37587C2semidirect
20. #37572C2semidirect
21. #37089C2semidirect
22. #37055C2semidirect
23. #35654C2semidirect
24. #35520C2semidirect
25. #35288C2semidirect
26. #35216C2semidirect
27. #35212C2semidirect
28. #35186C2semidirect
29. #35184C2semidirect
30. #35164C2semidirect
31. #34934C2semidirect
32. #34914C2semidirect
33. #34313C2semidirect
34. C4×#556C2semidirect
35. #34085C2semidirect

Maximal subgroups

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

subgroupindex
#429062
#429002
#425992
#425572
#412782
#411952
#398082
#397712
#397472
#397272
#397252
#392802
#391802
#391462
#389752
#389422
#382902
#382302
#375872
#375722
#370892
#370552
#356542
#355202
#352882
#352162
#352122
#351862
#351842
#351642
#349342
#349142
#343132
C4×#5562
#340852