Finite Group Databasebeta

← #7657628

Subgroups — #7657628

Order 512.

4635 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42852C212yesmaximal, complemented
2#42843C212yesmaximal, complemented
3#42778C212yesmaximal, complemented
4#42777C212yesmaximal, complemented
5#42411C214yesmaximal, complemented
6#42374C214yesmaximal, complemented
7#41806C214yesmaximal, complemented
8#41775C214yesmaximal, complemented
9#39273C212yesmaximal, complemented
10#39259C212yesmaximal, complemented
11#39183C211yesmaximal, characteristic, complemented
12#39167C211yesmaximal, characteristic, complemented
13#39136C211yesmaximal, characteristic, complemented
14#39124C211yesmaximal, characteristic, complemented
15#38288C212yesmaximal, complemented
16#38273C212yesmaximal, complemented
17#37637C212yesmaximal, complemented
18#37627C211yesmaximal, characteristic, complemented
19#37627C211yesmaximal, characteristic, complemented
20#37570C212yesmaximal, complemented
21#36468C211yesmaximal, characteristic, complemented
22#36454C211yesmaximal, characteristic, complemented
23#36315C211yesmaximal, characteristic, complemented
24#36272C211yesmaximal, characteristic, complemented
25#36015C212yesmaximal, complemented
26#35985C212yesmaximal, complemented
27#35832C212yesmaximal, complemented
28#35803C212yesmaximal, complemented
29#35300C212yesmaximal, complemented
30#35291C211yesmaximal, characteristic, complemented
31#34621C211yesmaximal, characteristic, complemented
32#34619C212yesmaximal, complemented
33#34322C211yesmaximal, characteristic, complemented
34#34311C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#553C2212yes—
38C2×#552C2212yes—
39C2×D4×Q8C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×#519C2212yes—
42#2862C2211yescharacteristic
43#2861C2212yes—
44#2859C2211yescharacteristic
45#2859C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2855C2212yes—
49#2854C2212yes—
50#2837C2214yes—
51#2837C2214yes—
52#2837C2214yes—
53#2831C2214yes—
54#2831C2214yes—
55#2828C2214yes—
56#2808C2214yes—
57#2803C2214yes—
58#2802C2214yes—
59#2795C2214yes—
60#2791C2214yes—
61#2781C2214yes—
62#2780C2214yes—
63#2779C2214yes—
64#2775C2214yes—
65#2774C2214yes—
66#2773C2214yes—
67#2773C2214yes—
68#2772C2214yes—
69#2767C2214yes—
70#2756C2214yes—
71#2753C2214yes—
72#2752C2214yes—
73#2751C2214yes—
74#2727C2214yes—
75#2723C2214yes—
76#2723C2214yes—
77#2723C2214yes—
78#2705C2214yes—
79#2696C2214yes—
80#2661C2214yes—
81#2654C2214yes—
82#2653C2214yes—
83#2651C2212yes—
84#2651C2214yes—
85#2651C2212yes—
86#2651C2214yes—
87#2650C2214yes—
88#2649C2214yes—
89#2649C2214yes—
90#2648C2214yes—
91#2648C2212yes—
92#2648C2212yes—
93#2648C2214yes—
94#2647C2214yes—
95#2647C2212yes—
96#2647C2211yescharacteristic
97#2645C2212yes—
98#2644C2214yes—
99#2644C2211yescharacteristic
100#2644C2211yescharacteristic
101#2641C2211yescharacteristic
102#2640C2212yes—
103#2637C2214yes—
104#2637C2214yes—
105#2629C2211yescharacteristic
106#2629C2212yes—
107#2629C2212yes—
108#2628C2212yes—
109#2625C2212yes—
110#2625C2212yes—
111#2625C2212yes—
112#2624C2212yes—
113#2624C2212yes—
114#2624C2211yescharacteristic
115#2624C2211yescharacteristic
116#2620C2212yes—
117#2620C2212yes—
118#2620C2212yes—
119#2619C2211yescharacteristic
120#2611C2214yes—
121#2609C2214yes—
122#2604C2214yes—
123#2602C2214yes—
124#2602C2214yes—
125#2601C2214yes—
126#2596C2214yes—
127#2594C2214yes—
128#2587C2214yes—
129#2580C2214yes—
130#2576C2214yes—
131#2575C2214yes—
132#2570C2212yes—
133#2567C2212yes—
134#2565C2212yes—
135#2563C2212yes—
136#2562C2212yes—
137#2559C2214yes—
138#2558C2214yes—
139#2554C2214yes—
140#2553C2214yes—
141#2552C2212yes—
142#2552C2212yes—
143#2552C2211yescharacteristic
144#2552C2211yescharacteristic
145#2547C2211yescharacteristic
146#2547C2211yescharacteristic
147#2544C2212yes—
148#2542C2211yescharacteristic
149#2542C2211yescharacteristic
150#2540C2212yes—
151#2540C2212yes—
152#2538C2212yes—
153#2538C2212yes—
154#2537C2211yescharacteristic
155#2537C2211yescharacteristic
156#2535C2212yes—
157#2535C2212yes—
158#2533C2214yes—
159#2531C2214yes—
160#2529C2214yes—
161#2529C2214yes—
162#2526C2214yes—
163#2519C2214yes—
164#2518C2214yes—
165#2517C2214yes—
166#2517C2214yes—
167#2514C2212yes—
168#2512C2214yes—
169#2511C2212yes—
170#2509C2212yes—
171#2509C2212yes—
172#2508C2214yes—
173#2508C2212yes—
174#2500C2214yes—
175#2497C2212yes—
176#2497C2212yes—
177#2497C2212yes—
178#2496C2212yes—
179#2496C2212yes—
180#2495C2212yes—
181#2494C2212yes—
182#2490C2212yes—
183#2490C2212yes—
184#2489C2212yes—
185#2489C2212yes—
186#2489C2212yes—
187#2489C2212yes—
188#2489C2212yes—
189#2485C2212yes—
190#2476C2214yes—
191#2476C2214yes—
192#2475C2214yes—
193#2471C2214yes—
194#2470C2214yes—
195#2470C2214yes—
196#2462C2214yes—
197#2458C2214yes—
198#2453C2212yes—
199#2453C2212yes—
200#2447C2212yes—
201#2441C2212yes—
202#2436C2212yes—
203#2428C2212yes—
204#2426C2212yes—
205#2426C2212yes—
206#2426C2212yes—
207#2426C2212yes—
208#2423C2212yes—
209#2423C2212yes—
210#2422C2212yes—
211#2421C2212yes—
212#2421C2212yes—
213#2415C2212yes—
214#2415C2212yes—
215#2415C2212yes—
216#2414C2212yes—
217#2409C2212yes—
218#2409C2212yes—
219#2409C2212yes—
220#2401C2214yes—
221#2398C2214yes—
222#2396C2214yes—
223#2395C2212yes—
224#2395C2214yes—
225#2395C2212yes—
226#2392C2212yes—
227#2392C2212yes—
228#2374C2212yes—
229#2374C2212yes—
230#2373C2214yes—
231#2373C2212yes—
232#2373C2212yes—
233#2370C2211yescharacteristic
234#2370C2211yescharacteristic
235#2367C2212yes—
236#2367C2211yescharacteristic
237#2367C2212yes—
238#2367C2211yescharacteristic
239#2365C2211yescharacteristic
240#2365C2212yes—
241#2365C2211yescharacteristic
242#2363C2211yescharacteristic
243#2363C2211yescharacteristic
244#2362C2214yes—
245#2362C2212yes—
246#2362C2211yescharacteristic
247#2362C2211yescharacteristic
248#2360C2212yes—
249#2360C2212yes—
250#2355C2211yescharacteristic
251#2355C2212yes—
252#2354C2212yes—
253#2354C2211yescharacteristic
254#2354C2212yes—
255#2352C2212yes—
256#2351C2212yes—
257Q8×C4⋊C4C2211yescharacteristic
258D4×C4⋊C4C2211yescharacteristic
259#2346C2212yes—
260#2346C2212yes—
261Q8×C22⋊C4C2212yes—
262#2334C2214yes—
263#2330C2212yes—
264#2326C2212yes—
265#2324C2212yes—
266#2323C2212yes—
267#2323C2214yes—
268#2323C2212yes—
269#2323C2212yes—
270#2323C2212yes—
271#2320C2212yes—
272C4×C4⋊Q8C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×#124C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282#2298C2212yes—
283#2295C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2293C2211yescharacteristic
292#2290C2212yes—
293#2274C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300#556—28no—
301#553—48no—
302#552—48no—
303D4×Q8—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127C2311yescharacteristic
308#529—28no—
309C2×#126C2314yes—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#124C2312yes—
320C2×#124C2311yescharacteristic
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×#121C2311yescharacteristic
337C2×#121C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344#519—48no—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2314yes—
377C2×#117C2314yes—
378C2×#117C2314yes—
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2312yes—
385#401C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#399C2314yes—
404#399C2312yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2312yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2314yes—
427#397C2314yes—
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#397C2312yes—
445#397C2312yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2312yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2312yes—
485#394C2312yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2312yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#392C2312yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2312yes—
505#391C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2314yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2314yes—
712#383C2314yes—
713#382C2311yescharacteristic
714#382C2314yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2314yes—
720#382C2314yes—
721#382C2314yes—
722#382C2312yes—
723#382C2314yes—
724#381C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809#376C2314yes—
810#376C2312yes—
811#376C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2312yes—
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8—44no—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2414yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C4⋊Q8—24no—
844C4⋊Q8—28no—
845C4⋊Q8—24no—
846#127—42no—
847#126—28no—
848#126—216no—
849#126—48no—
850#126—48no—
851#125—24no—
852#125—44no—
853#125—42no—
854#125—48no—
855#125—44no—
856#125—44no—
857#124—24no—
858#124—28no—
859#124—44no—
860#124—44no—
861#123—28no—
862#123—48no—
863#123—48no—
864C22⋊Q8—24no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—216no—
868C22⋊Q8—44no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874#121—24no—
875#121—48no—
876#121—44no—
877#121—42no—
878#121—42no—
879#121—44no—
880#121—44no—
881#121—44no—
882C4×Q8—24no—
883C4×Q8—28no—
884C4×Q8—28no—
885C4×Q8—48no—
886C4×Q8—48no—
887C4×Q8—44no—
888C4×Q8—42no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8#4118yes—
893C4×D4—24no—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—44no—
900C4×D4—42no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—48no—
905C4×D4—44no—
906#117—28no—
907#117—28no—
908#117—24no—
909#117—28no—
910#117—42no—
911#117—44no—
912#117—42no—
913#117—44no—
914#117—44no—
915#117—48no—
916#117—48no—
917#117—48no—
918#117—42no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C42—24no—
1051C2×C42—44no—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2414yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2412yes—
1100#95C2411yescharacteristic
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161C24C2512yes—
1162C24C2512yes—
1163C24C2512yes—
1164C24C2511yescharacteristic
1165C2×Q8—24no—
1166C2×Q8—28no—
1167C2×Q8—24no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—44no—
1175C2×Q8—44no—
1176C2×Q8—432no—
1177C2×Q8C2×#4114yes—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—24no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—44no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—44no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—28no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—28no—
1226C22×C4—24no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—42no—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2514yes—
1254C22×C4C2514yes—
1255C22×C4C2514yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—28no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—28no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—41no—
1305C4⋊C4—42no—
1306C4⋊C4—41no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4C2×#4114yes—
1338C4⋊C4C2×#4118yes—
1339C4⋊C4H(5,𝔽2)14yes—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—41no—
1363C22⋊C4—42no—
1364C22⋊C4—41no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—28no—
1403C42—24no—
1404C42—28no—
1405C42—24no—
1406C42—22no—
1407C42—28no—
1408C42—24no—
1409C42—22no—
1410C42—22no—
1411C42—24no—
1412C42—22no—
1413C42—22no—
1414C42—24no—
1415C42—22no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—42no—
1420C42—42no—
1421C42—42no—
1422C42—44no—
1423C42—41no—
1424C42—41no—
1425C42—41no—
1426C42—41no—
1427C42—42no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—42no—
1435C42—44no—
1436C42C2×#4114yes—
1437C42C2×#4118yes—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—21no—
1442C23—21no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—21no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—21no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—21no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—21no—
1466C23C2611yescharacteristic
1467Q8—28no—
1468Q8—416no—
1469Q8—48no—
1470Q8—48no—
1471D4—44no—
1472D4—44no—
1473D4—44no—
1474D4—84no—
1475D4—84no—
1476D4—88no—
1477D4—84no—
1478D4—84no—
1479D4—84no—
1480D4—164no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—21no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—24no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—416no—
1565C2×C4—44no—
1566C2×C4—48no—
1567C2×C4—48no—
1568C2×C4—44no—
1569C2×C4—48no—
1570C2×C4—82no—
1571C2×C4—84no—
1572C2×C4—88no—
1573C2×C4—84no—
1574C2×C4C22×#4114yes—
1575C2×C4C22×#4112yes—
1576C2×C4C22×#4114yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4112yes—
1579C2×C4C2×H(5,𝔽2)14yes—
1580C2×C4C2×H(5,𝔽2)12yes—
1581C2×C4#58512yes—
1582C2×C4#58512yes—
1583C2×C4#58512yes—
1584C22—42no—
1585C22—41no—
1586C22—42no—
1587C22—42no—
1588C22—41no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—41no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—41no—
1600C22—42no—
1601C22—42no—
1602C22—41no—
1603C22—42no—
1604C22—42no—
1605C22—41no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22C23×#4111yescharacteristic
1613C22C22×H(5,𝔽2)11yescharacteristic
1614C22C2×#58511yescharacteristic
1615C22C2×#58511yescharacteristic
1616C22C2×#58511yescharacteristic
1617C222−1+611yescharacteristic
1618C222−1+611yescharacteristic
1619C4—22no—
1620C4—24no—
1621C4—24no—
1622C4—24no—
1623C4—41no—
1624C4—42no—
1625C4—44no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—44no—
1630C4—42no—
1631C4—42no—
1632C4—41no—
1633C4—42no—
1634C4—44no—
1635C4—41no—
1636C4—41no—
1637C4—42no—
1638C4—42no—
1639C4—44no—
1640C4—41no—
1641C4—42no—
1642C4—41no—
1643C4—42no—
1644C4—41no—
1645C4—42no—
1646C4—42no—
1647C4—41no—
1648C4#346014yes—
1649C4#352414yes—
1650C2—81no—
1651C2—82no—
1652C2—82no—
1653C2—82no—
1654C2C2×#346011yescharacteristic
1655C2C2×#352411yescharacteristic
1656C2#6286111yescharacteristic
1657C2#6292111yescharacteristic
1658C2#6292211yescharacteristic
1659C2#6293611yescharacteristic
1660C2#6293911yescharacteristic
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. #42852C2semidirect
2. #42843C2semidirect
3. #42778C2semidirect
4. #42777C2semidirect
5. #42411C2semidirect
6. #42374C2semidirect
7. #41806C2semidirect
8. #41775C2semidirect
9. #39273C2semidirect
10. #39259C2semidirect
11. #39183C2semidirect
12. #39167C2semidirect
13. #39136C2semidirect
14. #39124C2semidirect
15. #38288C2semidirect
16. #38273C2semidirect
17. #37637C2semidirect
18. #37627C2semidirect
19. #37627C2semidirect
20. #37570C2semidirect
21. #36468C2semidirect
22. #36454C2semidirect
23. #36315C2semidirect
24. #36272C2semidirect
25. #36015C2semidirect
26. #35985C2semidirect
27. #35832C2semidirect
28. #35803C2semidirect
29. #35300C2semidirect
30. #35291C2semidirect
31. #34621C2semidirect
32. #34619C2semidirect
33. #34322C2semidirect
34. #34311C2semidirect
35. #34151C2semidirect

Maximal subgroups

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

subgroupindex
#428522
#428432
#427782
#427772
#424112
#423742
#418062
#417752
#392732
#392592
#391832
#391672
#391362
#391242
#382882
#382732
#376372
#376272
#375702
#364682
#364542
#363152
#362722
#360152
#359852
#358322
#358032
#353002
#352912
#346212
#346192
#343222
#343112
#341512