Finite Group Databasebeta

← #8429400

Subgroups — #8429400

Order 512.

4611 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59691C212yesmaximal, complemented
2#59679C211yesmaximal, characteristic, complemented
3#59374C212yesmaximal, complemented
4#59057C211yesmaximal, characteristic, complemented
5#59049C211yesmaximal, characteristic, complemented
6#56213C214yesmaximal, complemented
7#54758C214yesmaximal, complemented
8#53128C212yesmaximal, complemented
9#53073C212yesmaximal, complemented
10#53068C212yesmaximal, complemented
11#53060C212yesmaximal, complemented
12#52424C214yesmaximal, complemented
13#42947C212yesmaximal, complemented
14#42906C212yesmaximal, complemented
15#42759C212yesmaximal, complemented
16#42664C212yesmaximal, complemented
17#40648C214yesmaximal, complemented
18#39823C212yesmaximal, complemented
19#39552C212yesmaximal, complemented
20#39490C211yesmaximal, characteristic, complemented
21#39480C211yesmaximal, characteristic, complemented
22#39203C211yesmaximal, characteristic, complemented
23#39126C211yesmaximal, characteristic, complemented
24#39008C212yesmaximal, complemented
25#38997C212yesmaximal, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37616C211yesmaximal, characteristic, complemented
28#37579C212yesmaximal, complemented
29#37524C212yesmaximal, complemented
30#36504C211yesmaximal, characteristic, complemented
31#36314C211yesmaximal, characteristic, complemented
32#36149C211yesmaximal, characteristic, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34797C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#532C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2864C2212yes—
43#2862C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2850C2212yes—
47#2837C2214yes—
48#2836C2214yes—
49#2829C2214yes—
50#2829C2214yes—
51#2828C2214yes—
52#2828C2214yes—
53#2828C2214yes—
54#2828C2214yes—
55#2827C2214yes—
56#2827C2214yes—
57#2826C2214yes—
58#2825C2214yes—
59#2815C2214yes—
60#2813C2214yes—
61#2803C2214yes—
62#2803C2214yes—
63#2800C2214yes—
64#2800C2214yes—
65#2800C2214yes—
66#2798C2214yes—
67#2797C2214yes—
68#2797C2214yes—
69#2797C2214yes—
70#2786C2214yes—
71#2770C2214yes—
72#2762C2214yes—
73#2761C2214yes—
74#2757C2214yes—
75#2756C2214yes—
76#2754C2214yes—
77#2753C2214yes—
78#2750C2214yes—
79#2749C2214yes—
80#2749C2214yes—
81#2749C2214yes—
82#2746C2214yes—
83#2746C2214yes—
84#2744C2214yes—
85#2743C2214yes—
86#2730C2214yes—
87#2714C2214yes—
88#2714C2214yes—
89#2711C2214yes—
90#2702C2214yes—
91#2699C2214yes—
92#2691C2214yes—
93#2690C2214yes—
94#2689C2214yes—
95#2689C2214yes—
96#2688C2214yes—
97#2681C2214yes—
98#2667C2214yes—
99#2664C2214yes—
100#2654C2214yes—
101#2652C2214yes—
102#2651C2214yes—
103#2651C2214yes—
104#2649C2214yes—
105#2648C2214yes—
106#2648C2214yes—
107#2636C2214yes—
108#2635C2214yes—
109#2629C2212yes—
110#2625C2212yes—
111#2625C2212yes—
112#2624C2212yes—
113#2624C2212yes—
114#2621C2212yes—
115#2620C2212yes—
116#2620C2212yes—
117#2620C2212yes—
118#2619C2212yes—
119#2619C2212yes—
120#2619C2212yes—
121#2610C2214yes—
122#2603C2214yes—
123#2602C2214yes—
124#2600C2214yes—
125#2595C2214yes—
126#2573C2214yes—
127#2571C2212yes—
128#2571C2211yescharacteristic
129#2570C2212yes—
130#2570C2212yes—
131#2568C2211yescharacteristic
132#2567C2211yescharacteristic
133#2566C2212yes—
134#2566C2212yes—
135#2563C2211yescharacteristic
136#2562C2212yes—
137#2548C2212yes—
138#2548C2211yescharacteristic
139#2548C2211yescharacteristic
140#2545C2212yes—
141#2544C2212yes—
142#2542C2211yescharacteristic
143#2541C2211yescharacteristic
144#2541C2211yescharacteristic
145#2540C2212yes—
146#2540C2212yes—
147#2540C2212yes—
148#2537C2212yes—
149#2537C2211yescharacteristic
150#2536C2212yes—
151#2536C2212yes—
152#2535C2212yes—
153#2533C2214yes—
154#2531C2214yes—
155#2531C2212yes—
156#2530C2214yes—
157#2529C2212yes—
158#2526C2214yes—
159#2518C2212yes—
160#2516C2214yes—
161#2514C2212yes—
162#2513C2212yes—
163#2513C2212yes—
164#2513C2212yes—
165#2512C2212yes—
166#2512C2212yes—
167#2512C2211yescharacteristic
168#2511C2212yes—
169#2507C2211yescharacteristic
170#2506C2212yes—
171#2506C2212yes—
172#2503C2212yes—
173#2500C2211yescharacteristic
174#2500C2212yes—
175#2499C2212yes—
176#2499C2212yes—
177#2495C2212yes—
178#2495C2212yes—
179#2495C2211yescharacteristic
180#2494C2212yes—
181#2493C2214yes—
182#2490C2214yes—
183#2490C2212yes—
184#2490C2211yescharacteristic
185#2489C2212yes—
186#2485C2211yescharacteristic
187#2479C2214yes—
188#2478C2212yes—
189#2470C2212yes—
190#2467C2214yes—
191#2467C2214yes—
192#2467C2212yes—
193#2466C2214yes—
194#2466C2214yes—
195#2466C2214yes—
196#2466C2212yes—
197#2460C2214yes—
198#2456C2214yes—
199#2455C2212yes—
200#2454C2212yes—
201#2453C2212yes—
202#2453C2212yes—
203#2453C2211yescharacteristic
204#2448C2212yes—
205#2447C2212yes—
206#2447C2212yes—
207#2447C2211yescharacteristic
208#2447C2212yes—
209#2447C2212yes—
210#2447C2212yes—
211#2444C2214yes—
212#2442C2212yes—
213#2441C2211yescharacteristic
214#2441C2211yescharacteristic
215#2432C2211yescharacteristic
216#2431C2212yes—
217#2431C2212yes—
218#2429C2211yescharacteristic
219#2428C2212yes—
220#2428C2212yes—
221#2428C2212yes—
222#2427C2212yes—
223#2427C2212yes—
224#2427C2212yes—
225#2427C2212yes—
226#2426C2212yes—
227#2423C2212yes—
228#2422C2211yescharacteristic
229#2421C2212yes—
230#2421C2212yes—
231#2420C2212yes—
232#2420C2212yes—
233#2420C2212yes—
234#2420C2212yes—
235#2416C2212yes—
236#2416C2212yes—
237#2415C2211yescharacteristic
238#2414C2212yes—
239#2414C2211yescharacteristic
240#2414C2212yes—
241#2414C2212yes—
242#2407C2212yes—
243#2407C2212yes—
244#2407C2212yes—
245#2407C2212yes—
246#2407C2212yes—
247#2407C2211yescharacteristic
248#2407C2214yes—
249#2395C2212yes—
250#2395C2212yes—
251#2392C2212yes—
252#2392C2212yes—
253#2388C2214yes—
254#2369C2211yescharacteristic
255#2367C2212yes—
256#2366C2212yes—
257#2365C2211yescharacteristic
258#2363C2212yes—
259#2363C2212yes—
260#2362C2212yes—
261#2361C2212yes—
262#2357C2212yes—
263#2356C2212yes—
264#2355C2211yescharacteristic
265#2354C2212yes—
266#2353C2214yes—
267Q8×C4⋊C4C2211yescharacteristic
268#2349C2212yes—
269#2341C2212yes—
270#2339C2212yes—
271#2339C2212yes—
272#2324C2212yes—
273#2323C2212yes—
274#2318C2214yes—
275#2317C2212yes—
276#2314C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#127C2212yes—
280C4×#125C2211yescharacteristic
281C4×#126C2212yes—
282C4×#124C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×#123C2212yes—
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291#2296C2212yes—
292#2295C2212yes—
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2293C2212yes—
296#2285C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302#556—44no—
303#554—44no—
304#532—44no—
305#532—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2312yes—
312#529—44no—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2314yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C4×#41—44no—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C22×C4⋊C4C2312yes—
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2312yes—
397#401C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2312yes—
413#399C2314yes—
414#399C2314yes—
415#399C2312yes—
416#399C2314yes—
417#399C2312yes—
418#399C2314yes—
419#399C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#395C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2314yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2312yes—
513#394C2312yes—
514#393C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2312yes—
522#392C2312yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#391C2311yescharacteristic
532#391C2311yescharacteristic
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2314yes—
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2314yes—
562#390C2312yes—
563#390C2314yes—
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2311yescharacteristic
574#390C2311yescharacteristic
575#390C2314yes—
576#390C2312yes—
577#390C2314yes—
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
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#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#387C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#384C2312yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2312yes—
726#384C2312yes—
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#383C2312yes—
730#383C2314yes—
731#383C2314yes—
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2314yes—
740#382C2312yes—
741#382C2312yes—
742#381C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2312yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2314yes—
812#376C2312yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—44no—
817C2×#41—42no—
818C2×#41—42no—
819C2×#41—42no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—82no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862C4⋊Q8—42no—
863#127—24no—
864#127—44no—
865#127—44no—
866#126—44no—
867#126—44no—
868#126—48no—
869#126—84no—
870#125—42no—
871#125—42no—
872#125—44no—
873#125—84no—
874#124—44no—
875#124—44no—
876#124—42no—
877#124—44no—
878#124—44no—
879#124—44no—
880#123—44no—
881#123—44no—
882C22⋊Q8—48no—
883C22⋊Q8—44no—
884C22⋊Q8—42no—
885C22⋊Q8—42no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—42no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—82no—
892#121—44no—
893#121—44no—
894#121—42no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121—44no—
899#121—42no—
900#121—42no—
901#121—44no—
902#121—44no—
903#121—44no—
904#121—44no—
905#121—84no—
906#121—84no—
907#121—84no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—42no—
913C4×Q8—44no—
914C4×D4—24no—
915C4×D4—24no—
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—42no—
925C4×D4—44no—
926C4×D4—42no—
927C4×D4—48no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—48no—
932C4×D4—42no—
933C4×D4—44no—
934C4×D4—84no—
935C4×D4—82no—
936#117—44no—
937#117—44no—
938#117—44no—
939#117—44no—
940#117—44no—
941#117—42no—
942#117—42no—
943#117—42no—
944#117—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C42—24no—
1079C2×C42—24no—
1080C2×C42—44no—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2514yes—
1180C24C2511yescharacteristic
1181C24C2511yescharacteristic
1182#41—416no—
1183#41—816no—
1184#41—816no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—42no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—28no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—41no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—41no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—41no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2514yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—41no—
1353C4⋊C4—42no—
1354C4⋊C4—41no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—22no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—41no—
1408C22⋊C4—44no—
1409C22⋊C4—41no—
1410C22⋊C4—44no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—44no—
1414C22⋊C4—41no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—24no—
1459C42—24no—
1460C42—22no—
1461C42—24no—
1462C42—22no—
1463C42—24no—
1464C42—24no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—24no—
1469C42—42no—
1470C42—42no—
1471C42—42no—
1472C42—42no—
1473C42—44no—
1474C42—41no—
1475C42—44no—
1476C42—42no—
1477C42—41no—
1478C42—44no—
1479C42—44no—
1480C42—44no—
1481C42H(5,𝔽2)14yes—
1482C23—22no—
1483C23—22no—
1484C23—24no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—22no—
1492C23—24no—
1493C23—21no—
1494C23—21no—
1495C23—22no—
1496C23—21no—
1497C23—22no—
1498C23—24no—
1499C23—22no—
1500C23—21no—
1501C23—22no—
1502C23—24no—
1503C23—24no—
1504C23—22no—
1505C23—22no—
1506C23—21no—
1507C23—21no—
1508C23—24no—
1509C23—22no—
1510C23—21no—
1511C23—22no—
1512C23—21no—
1513C23—24no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23C2611yescharacteristic
1518Q8—44no—
1519Q8—44no—
1520Q8—48no—
1521Q8—84no—
1522D4—48no—
1523D4—44no—
1524D4—48no—
1525D4—48no—
1526D4—44no—
1527D4—44no—
1528D4—48no—
1529D4—88no—
1530D4—88no—
1531D4—84no—
1532D4—84no—
1533D4—88no—
1534D4—84no—
1535D4—88no—
1536D4—88no—
1537D4—164no—
1538D4—164no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—24no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—21no—
1621C2×C4—44no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—48no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—48no—
1628C2×C4—44no—
1629C2×C4—84no—
1630C2×C4—82no—
1631C2×C4—88no—
1632C2×C4—88no—
1633C2×C4—164no—
1634C2×C4—164no—
1635C2×C4C2×H(5,𝔽2)12yes—
1636C2×C4C2×H(5,𝔽2)12yes—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4#58512yes—
1639C2×C4#58512yes—
1640C2×C4#58512yes—
1641C2×C4#58512yes—
1642C2×C4#58512yes—
1643C22—42no—
1644C22—41no—
1645C22—42no—
1646C22—41no—
1647C22—44no—
1648C22—41no—
1649C22—42no—
1650C22—41no—
1651C22—44no—
1652C22—42no—
1653C22—41no—
1654C22—41no—
1655C22—42no—
1656C22—44no—
1657C22—42no—
1658C22—42no—
1659C22—44no—
1660C22—42no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—44no—
1665C22—41no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—41no—
1670C22—42no—
1671C22—44no—
1672C22—41no—
1673C22—44no—
1674C22—41no—
1675C22—42no—
1676C22—42no—
1677C22—41no—
1678C22C22×H(5,𝔽2)11yescharacteristic
1679C22C2×#58511yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22H(7,𝔽2)11yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—42no—
1689C4—41no—
1690C4—42no—
1691C4—42no—
1692C4—41no—
1693C4—42no—
1694C4—41no—
1695C4—44no—
1696C4—42no—
1697C4—41no—
1698C4—42no—
1699C4—42no—
1700C4—41no—
1701C4—42no—
1702C4—41no—
1703C4—42no—
1704C4—44no—
1705C4—42no—
1706C4—41no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—41no—
1711C4—44no—
1712C4—42no—
1713C4#353914yes—
1714C4#356214yes—
1715C2—81no—
1716C2—82no—
1717C2—81no—
1718C2—82no—
1719C2—84no—
1720C2C2×#353911yescharacteristic
1721C2C2×#356211yescharacteristic
1722C2#6276211yescharacteristic
1723C2#6292411yescharacteristic
1724C2#6293811yescharacteristic
1725C2#6296611yescharacteristic
1726C2#6303111yescharacteristic
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. #59691C2semidirect
2. #59679C2semidirect
3. #59374C2semidirect
4. #59057C2semidirect
5. #59049C2semidirect
6. #56213C2semidirect
7. #54758C2semidirect
8. #53128C2semidirect
9. #53073C2semidirect
10. #53068C2semidirect
11. #53060C2semidirect
12. #52424C2semidirect
13. #42947C2semidirect
14. #42906C2semidirect
15. #42759C2semidirect
16. #42664C2semidirect
17. #40648C2semidirect
18. #39823C2semidirect
19. #39552C2semidirect
20. #39490C2semidirect
21. #39480C2semidirect
22. #39203C2semidirect
23. #39126C2semidirect
24. #39008C2semidirect
25. #38997C2semidirect
26. #37626C2semidirect
27. #37616C2semidirect
28. #37579C2semidirect
29. #37524C2semidirect
30. #36504C2semidirect
31. #36314C2semidirect
32. #36149C2semidirect
33. #34977C2semidirect
34. #34797C2semidirect
35. #34724C2semidirect

Maximal subgroups

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

subgroupindex
#596912
#596792
#593742
#590572
#590492
#562132
#547582
#531282
#530732
#530682
#530602
#524242
#429472
#429062
#427592
#426642
#406482
#398232
#395522
#394902
#394802
#392032
#391262
#390082
#389972
#376262
#376162
#375792
#375242
#365042
#363142
#361492
#349772
#347972
#347242