Finite Group Databasebeta

← #7657586

Subgroups — #7657586

Order 512.

4680 conjugacy classes of subgroups.

The subgroup lattice has 1707 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42691C212yesmaximal, complemented
2#42690C212yesmaximal, complemented
3#42654C212yesmaximal, complemented
4#42653C212yesmaximal, complemented
5#41747C214yesmaximal, complemented
6#41738C214yesmaximal, complemented
7#41617C214yesmaximal, complemented
8#41605C214yesmaximal, complemented
9#39293C212yesmaximal, complemented
10#39287C212yesmaximal, complemented
11#39156C211yesmaximal, characteristic, complemented
12#39146C211yesmaximal, characteristic, complemented
13#38940C211yesmaximal, characteristic, complemented
14#38930C211yesmaximal, characteristic, complemented
15#38290C212yesmaximal, complemented
16#38273C212yesmaximal, complemented
17#37640C211yesmaximal, characteristic, complemented
18#37624C211yesmaximal, characteristic, complemented
19#37516C212yesmaximal, complemented
20#37512C212yesmaximal, complemented
21#36473C211yesmaximal, characteristic, complemented
22#36449C211yesmaximal, characteristic, complemented
23#36315C211yesmaximal, characteristic, complemented
24#36272C211yesmaximal, characteristic, complemented
25#36065C212yesmaximal, complemented
26#35855C212yesmaximal, complemented
27#35759C212yesmaximal, complemented
28#35758C212yesmaximal, complemented
29#35297C211yesmaximal, characteristic, complemented
30#35269C212yesmaximal, complemented
31#34619C212yesmaximal, complemented
32#34609C211yesmaximal, characteristic
33#34235C211yesmaximal, characteristic, complemented
34#34206C211yesmaximal, characteristic, complemented
35#34121C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#552C2212yes—
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#520C2212yes—
41C2×C4×#41C2211yescharacteristic
42#2863C2212yes—
43#2861C2212yes—
44#2860C2212yes—
45#2859C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2841C2214yes—
51#2831C2214yes—
52#2829C2214yes—
53#2826C2214yes—
54#2824C2214yes—
55#2820C2214yes—
56#2808C2214yes—
57#2805C2214yes—
58#2803C2214yes—
59#2803C2214yes—
60#2800C2214yes—
61#2777C2214yes—
62#2777C2214yes—
63#2775C2214yes—
64#2775C2214yes—
65#2774C2214yes—
66#2773C2214yes—
67#2770C2214yes—
68#2767C2214yes—
69#2761C2214yes—
70#2759C2214yes—
71#2758C2214yes—
72#2756C2214yes—
73#2753C2214yes—
74#2746C2214yes—
75#2743C2214yes—
76#2740C2214yes—
77#2738C2214yes—
78#2737C2214yes—
79#2737C2214yes—
80#2666C2214yes—
81#2665C2214yes—
82#2662C2214yes—
83#2660C2212yes—
84#2654C2214yes—
85#2653C2214yes—
86#2650C2214yes—
87#2650C2214yes—
88#2649C2214yes—
89#2648C2214yes—
90#2648C2214yes—
91#2648C2214yes—
92#2647C2212yes—
93#2647C2212yes—
94#2645C2212yes—
95#2644C2212yes—
96#2640C2212yes—
97#2636C2214yes—
98#2635C2212yes—
99#2635C2212yes—
100#2632C2212yes—
101#2631C2212yes—
102#2630C2214yes—
103#2629C2212yes—
104#2628C2211yescharacteristic
105#2628C2211yescharacteristic
106#2628C2212yes—
107#2625C2212yes—
108#2624C2214yes—
109#2624C2211yescharacteristic
110#2624C2211yescharacteristic
111#2620C2212yes—
112#2620C2212yes—
113#2619C2211yescharacteristic
114#2619C2211yescharacteristic
115#2616C2212yes—
116#2616C2212yes—
117#2616C2212yes—
118#2615C2211yescharacteristic
119#2615C2211yescharacteristic
120#2611C2214yes—
121#2610C2214yes—
122#2604C2214yes—
123#2604C2214yes—
124#2604C2214yes—
125#2602C2214yes—
126#2597C2214yes—
127#2584C2212yes—
128#2581C2212yes—
129#2581C2214yes—
130#2578C2214yes—
131#2574C2214yes—
132#2571C2211yescharacteristic
133#2570C2212yes—
134#2567C2212yes—
135#2563C2212yes—
136#2562C2212yes—
137#2562C2212yes—
138#2554C2214yes—
139#2554C2214yes—
140#2553C2214yes—
141#2552C2211yescharacteristic
142#2552C2211yescharacteristic
143#2551C2211yescharacteristic
144#2550C2212yes—
145#2548C2212yes—
146#2547C2211yescharacteristic
147#2547C2211yescharacteristic
148#2542C2211yescharacteristic
149#2542C2211yescharacteristic
150#2538C2212yes—
151#2538C2212yes—
152#2538C2212yes—
153#2536C2212yes—
154#2536C2212yes—
155#2533C2214yes—
156#2531C2214yes—
157#2531C2214yes—
158#2530C2214yes—
159#2529C2214yes—
160#2528C2214yes—
161#2525C2214yes—
162#2522C2214yes—
163#2521C2214yes—
164#2519C2214yes—
165#2519C2214yes—
166#2518C2214yes—
167#2518C2214yes—
168#2515C2214yes—
169#2503C2212yes—
170#2499C2212yes—
171#2497C2212yes—
172#2497C2212yes—
173#2497C2212yes—
174#2496C2212yes—
175#2496C2212yes—
176#2495C2212yes—
177#2495C2212yes—
178#2494C2212yes—
179#2492C2212yes—
180#2492C2212yes—
181#2491C2212yes—
182#2490C2212yes—
183#2489C2212yes—
184#2489C2212yes—
185#2487C2212yes—
186#2485C2214yes—
187#2485C2212yes—
188#2485C2212yes—
189#2485C2212yes—
190#2485C2212yes—
191#2485C2212yes—
192#2469C2214yes—
193#2467C2214yes—
194#2466C2214yes—
195#2466C2214yes—
196#2462C2214yes—
197#2460C2214yes—
198#2459C2214yes—
199#2459C2214yes—
200#2442C2212yes—
201#2441C2212yes—
202#2439C2212yes—
203#2439C2212yes—
204#2427C2212yes—
205#2427C2212yes—
206#2426C2212yes—
207#2426C2212yes—
208#2423C2212yes—
209#2422C2212yes—
210#2421C2212yes—
211#2421C2212yes—
212#2421C2212yes—
213#2420C2212yes—
214#2417C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2415C2212yes—
220#2401C2214yes—
221#2398C2212yes—
222#2398C2214yes—
223#2397C2212yes—
224#2396C2214yes—
225#2395C2214yes—
226#2388C2212yes—
227#2388C2212yes—
228#2367C2214yes—
229#2366C2212yes—
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2365C2211yescharacteristic
233#2365C2211yescharacteristic
234#2365C2212yes—
235#2362C2212yes—
236#2360C2212yes—
237#2360C2212yes—
238#2360C2212yes—
239#2357C2212yes—
240#2356C2212yes—
241#2356C2212yes—
242#2355C2211yescharacteristic
243#2355C2211yescharacteristic
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic
248#2354C2212yes—
249#2353C2212yes—
250#2353C2212yes—
251#2352C2212yes—
252#2352C2211yescharacteristic
253#2352C2211yescharacteristic
254#2352C2211yescharacteristic
255#2352C2211yescharacteristic
256#2352C2212yes—
257#2352C2212yes—
258#2351C2212yes—
259D4×C4⋊C4C2211yescharacteristic
260D4×C4⋊C4C2211yescharacteristic
261#2346C2212yes—
262#2345C2212yes—
263#2343C2214yes—
264#2336C2214yes—
265#2330C2212yes—
266#2326C2212yes—
267#2325C2214yes—
268#2323C2212yes—
269#2323C2212yes—
270#2320C2212yes—
271#2320C2212yes—
272#2319C2212yes—
273#2311C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×#124C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2212yes—
284#2298C2212yes—
285#2298C2212yes—
286#2297C2212yes—
287#2295C2212yes—
288#2293C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2283C2211yescharacteristic
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294#2276C2212yes—
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301#556—48no—
302#552—48no—
303#533—28no—
304#532—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2314yes—
321C2×#124C2312yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×#121C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340#520—48no—
341C4×#41—28no—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2314yes—
382C2×#117C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2312yes—
390C22×C42C2311yescharacteristic
391#401C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2312yes—
415#399C2312yes—
416#399C2312yes—
417#399C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2312yes—
463#395C2314yes—
464#395C2314yes—
465#395C2312yes—
466#395C2314yes—
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#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2312yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2312yes—
497#393C2312yes—
498#393C2312yes—
499#393C2312yes—
500#393C2314yes—
501#392C2312yes—
502#392C2312yes—
503#392C2312yes—
504#392C2312yes—
505#392C2312yes—
506#392C2312yes—
507#392C2312yes—
508#392C2312yes—
509#392C2312yes—
510#392C2312yes—
511#391C2314yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2314yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2312yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#383C2314yes—
694#383C2314yes—
695#383C2314yes—
696#383C2312yes—
697#383C2312yes—
698#383C2312yes—
699#382C2314yes—
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#382C2314yes—
706#382C2312yes—
707#382C2314yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#381C2314yes—
714#381C2312yes—
715#381C2312yes—
716#381C2312yes—
717#381C2314yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810#376C2314yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2312yes—
814C43C2312yes—
815C43C2312yes—
816C2×#41—24no—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—42no—
820C2×#41—44no—
821C2×#41—42no—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2414yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857C4⋊Q8—24no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860#127—24no—
861#126—48no—
862#126—48no—
863#126—48no—
864#125—28no—
865#125—44no—
866#125—48no—
867#125—44no—
868#124—28no—
869#124—48no—
870#124—44no—
871#124—44no—
872#123—48no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883#121—24no—
884#121—24no—
885#121—28no—
886#121—42no—
887#121—42no—
888#121—42no—
889#121—42no—
890C4×Q8—28no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—28no—
894C4×Q8—28no—
895C4×Q8—48no—
896C4×Q8—48no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—28no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—48no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—48no—
917C4×D4—48no—
918#117—24no—
919#117—28no—
920#117—28no—
921#117—24no—
922#117—24no—
923#117—24no—
924#117—24no—
925#117—44no—
926#117—48no—
927#117—42no—
928#117—42no—
929#117—44no—
930#117—44no—
931C2×C4⋊C4—24no—
932C2×C4⋊C4—28no—
933C2×C4⋊C4—42no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—44no—
1062C2×C42#4118yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
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#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24C2511yescharacteristic
1170C24C2511yescharacteristic
1171C24C2512yes—
1172C24C2512yes—
1173C24C2511yescharacteristic
1174#41—432no—
1175#41—416no—
1176C2×Q8—22no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—42no—
1185C2×Q8—41no—
1186C2×Q8—41no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—28no—
1255C22×C4—24no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4C2×#4114yes—
1273C22×C4C2×#4114yes—
1274C22×C4C2×#4114yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2514yes—
1292C22×C4C2514yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—28no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4H(5,𝔽2)14yes—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—28no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
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—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—28no—
1436C42—24no—
1437C42—28no—
1438C42—24no—
1439C42—28no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42—44no—
1458C42—44no—
1459C42C2×#4114yes—
1460C42C2×#4114yes—
1461C42C2×#4114yes—
1462C42C2×#4114yes—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—22no—
1472C23—22no—
1473C23—21no—
1474C23—21no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—21no—
1488C23—21no—
1489C23—22no—
1490C23—22no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—22no—
1496C23—22no—
1497C23C22×#4112yes—
1498C23C2611yescharacteristic
1499Q8—44no—
1500Q8—48no—
1501Q8—48no—
1502Q8—48no—
1503Q8—88no—
1504D4—44no—
1505D4—48no—
1506D4—44no—
1507D4—44no—
1508D4—48no—
1509D4—48no—
1510D4—44no—
1511D4—44no—
1512D4—84no—
1513D4—84no—
1514D4—84no—
1515D4—84no—
1516D4—84no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—28no—
1528C2×C4—28no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—48no—
1602C2×C4—48no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—82no—
1606C2×C4—82no—
1607C2×C4—88no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—164no—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4112yes—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4112yes—
1617C2×C4C2×H(5,𝔽2)14yes—
1618C2×C4C2×H(5,𝔽2)12yes—
1619C2×C4#58512yes—
1620C2×C4#58512yes—
1621C2×C4#58512yes—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—42no—
1632C22—42no—
1633C22—41no—
1634C22—41no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—42no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—42no—
1651C22—41no—
1652C22—42no—
1653C22—41no—
1654C22—42no—
1655C22—42no—
1656C22—41no—
1657C22C23×#4111yescharacteristic
1658C22C22×H(5,𝔽2)11yescharacteristic
1659C22C2×#58511yescharacteristic
1660C22C2×#58511yescharacteristic
1661C22C2×#58511yescharacteristic
1662C222−1+611yescharacteristic
1663C222−1+611yescharacteristic
1664C4—22no—
1665C4—22no—
1666C4—22no—
1667C4—24no—
1668C4—22no—
1669C4—41no—
1670C4—41no—
1671C4—44no—
1672C4—41no—
1673C4—41no—
1674C4—44no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—44no—
1680C4—42no—
1681C4—41no—
1682C4—41no—
1683C4—42no—
1684C4—42no—
1685C4—44no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4#346014yes—
1693C4#349314yes—
1694C2—42no—
1695C2—81no—
1696C2—81no—
1697C2—82no—
1698C2—82no—
1699C2C2×#346011yescharacteristic
1700C2C2×#349311yescharacteristic
1701C2#6286011yescharacteristic
1702C2#6292111yescharacteristic
1703C2#6292211yescharacteristic
1704C2#6293611yescharacteristic
1705C2#6293911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34609C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42691C2semidirect
2. #42690C2semidirect
3. #42654C2semidirect
4. #42653C2semidirect
5. #41747C2semidirect
6. #41738C2semidirect
7. #41617C2semidirect
8. #41605C2semidirect
9. #39293C2semidirect
10. #39287C2semidirect
11. #39156C2semidirect
12. #39146C2semidirect
13. #38940C2semidirect
14. #38930C2semidirect
15. #38290C2semidirect
16. #38273C2semidirect
17. #37640C2semidirect
18. #37624C2semidirect
19. #37516C2semidirect
20. #37512C2semidirect
21. #36473C2semidirect
22. #36449C2semidirect
23. #36315C2semidirect
24. #36272C2semidirect
25. #36065C2semidirect
26. #35855C2semidirect
27. #35759C2semidirect
28. #35758C2semidirect
29. #35297C2semidirect
30. #35269C2semidirect
31. #34619C2semidirect
33. #34235C2semidirect
34. #34206C2semidirect
35. #34121C2semidirect

Maximal subgroups

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

subgroupindex
#426912
#426902
#426542
#426532
#417472
#417382
#416172
#416052
#392932
#392872
#391562
#391462
#389402
#389302
#382902
#382732
#376402
#376242
#375162
#375122
#364732
#364492
#363152
#362722
#360652
#358552
#357592
#357582
#352972
#352692
#346192
#346092
#342352
#342062
#341212