Finite Group Databasebeta

← #8467088

Subgroups — #8467088

Order 512.

4505 conjugacy classes of subgroups.

The subgroup lattice has 1725 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59659C211yesmaximal, characteristic, complemented
2#59234C211yesmaximal, characteristic, complemented
3#59230C211yesmaximal, characteristic, complemented
4#56027C214yesmaximal, complemented
5#55361C214yesmaximal, complemented
6#55112C214yesmaximal, complemented
7#53061C212yesmaximal, complemented
8#53046C212yesmaximal, complemented
9#50001C214yesmaximal, complemented
10#45616C212yesmaximal, complemented
11#45594C212yesmaximal, complemented
12#45408C212yesmaximal, complemented
13#45225C212yesmaximal, complemented
14#42993C212yesmaximal, complemented
15#42778C212yesmaximal, complemented
16#42766C212yesmaximal, complemented
17#42758C212yesmaximal, complemented
18#39987C212yesmaximal, complemented
19#39597C211yesmaximal, characteristic, complemented
20#39469C211yesmaximal, characteristic, complemented
21#39158C212yesmaximal, complemented
22#39125C211yesmaximal, characteristic, complemented
23#38977C211yesmaximal, characteristic, complemented
24#38131C212yesmaximal, complemented
25#37974C212yesmaximal, complemented
26#37640C211yesmaximal, characteristic, complemented
27#37363C212yesmaximal, complemented
28#37325C212yesmaximal, complemented
29#36411C211yesmaximal, characteristic, complemented
30#36210C211yesmaximal, characteristic, complemented
31#36174C211yesmaximal, characteristic, complemented
32#35189C211yesmaximal, characteristic, complemented
33#35177C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2859C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2212yes—
46#2855C2212yes—
47#2854C2212yes—
48#2851C2212yes—
49#2850C2212yes—
50#2850C2212yes—
51#2832C2214yes—
52#2830C2214yes—
53#2829C2214yes—
54#2828C2214yes—
55#2826C2214yes—
56#2824C2214yes—
57#2820C2214yes—
58#2819C2214yes—
59#2808C2214yes—
60#2803C2214yes—
61#2798C2214yes—
62#2796C2214yes—
63#2795C2214yes—
64#2790C2214yes—
65#2788C2214yes—
66#2784C2214yes—
67#2779C2214yes—
68#2778C2214yes—
69#2775C2214yes—
70#2773C2214yes—
71#2765C2214yes—
72#2763C2214yes—
73#2759C2214yes—
74#2759C2214yes—
75#2759C2214yes—
76#2758C2214yes—
77#2756C2214yes—
78#2756C2214yes—
79#2754C2214yes—
80#2753C2214yes—
81#2753C2214yes—
82#2752C2214yes—
83#2751C2214yes—
84#2746C2214yes—
85#2746C2214yes—
86#2743C2214yes—
87#2741C2214yes—
88#2739C2214yes—
89#2737C2214yes—
90#2733C2214yes—
91#2731C2214yes—
92#2730C2214yes—
93#2729C2214yes—
94#2717C2214yes—
95#2716C2214yes—
96#2713C2214yes—
97#2712C2214yes—
98#2712C2214yes—
99#2710C2214yes—
100#2700C2214yes—
101#2700C2214yes—
102#2699C2214yes—
103#2696C2214yes—
104#2677C2214yes—
105#2676C2214yes—
106#2674C2214yes—
107#2672C2214yes—
108#2666C2214yes—
109#2665C2214yes—
110#2650C2214yes—
111#2650C2214yes—
112#2649C2214yes—
113#2645C2212yes—
114#2644C2214yes—
115#2630C2214yes—
116#2628C2212yes—
117#2628C2212yes—
118#2624C2212yes—
119#2624C2212yes—
120#2620C2214yes—
121#2616C2212yes—
122#2616C2212yes—
123#2615C2212yes—
124#2605C2214yes—
125#2601C2214yes—
126#2596C2214yes—
127#2593C2214yes—
128#2593C2214yes—
129#2582C2211yescharacteristic
130#2581C2212yes—
131#2574C2214yes—
132#2572C2214yes—
133#2570C2214yes—
134#2567C2212yes—
135#2567C2211yescharacteristic
136#2563C2212yes—
137#2563C2211yescharacteristic
138#2563C2212yes—
139#2562C2212yes—
140#2559C2212yes—
141#2557C2212yes—
142#2551C2212yes—
143#2551C2211yescharacteristic
144#2550C2211yescharacteristic
145#2550C2212yes—
146#2548C2212yes—
147#2547C2212yes—
148#2547C2212yes—
149#2547C2212yes—
150#2546C2212yes—
151#2545C2214yes—
152#2544C2211yescharacteristic
153#2542C2212yes—
154#2540C2211yescharacteristic
155#2538C2211yescharacteristic
156#2538C2211yescharacteristic
157#2538C2211yescharacteristic
158#2538C2211yescharacteristic
159#2538C2211yescharacteristic
160#2537C2211yescharacteristic
161#2536C2212yes—
162#2535C2212yes—
163#2535C2211yescharacteristic
164#2526C2214yes—
165#2526C2214yes—
166#2521C2212yes—
167#2518C2214yes—
168#2516C2214yes—
169#2514C2212yes—
170#2513C2212yes—
171#2511C2214yes—
172#2509C2212yes—
173#2509C2212yes—
174#2508C2212yes—
175#2508C2212yes—
176#2503C2212yes—
177#2497C2212yes—
178#2495C2212yes—
179#2495C2212yes—
180#2495C2212yes—
181#2494C2212yes—
182#2494C2212yes—
183#2494C2212yes—
184#2494C2214yes—
185#2492C2211yescharacteristic
186#2492C2212yes—
187#2492C2212yes—
188#2492C2212yes—
189#2492C2212yes—
190#2491C2212yes—
191#2491C2214yes—
192#2491C2212yes—
193#2491C2212yes—
194#2491C2214yes—
195#2491C2212yes—
196#2490C2212yes—
197#2490C2211yescharacteristic
198#2489C2212yes—
199#2489C2212yes—
200#2485C2212yes—
201#2485C2212yes—
202#2485C2212yes—
203#2485C2212yes—
204#2477C2212yes—
205#2475C2212yes—
206#2474C2214yes—
207#2474C2214yes—
208#2465C2214yes—
209#2464C2212yes—
210#2463C2212yes—
211#2461C2214yes—
212#2460C2212yes—
213#2452C2211yescharacteristic
214#2452C2212yes—
215#2448C2212yes—
216#2447C2212yes—
217#2446C2212yes—
218#2446C2211yescharacteristic
219#2442C2212yes—
220#2439C2212yes—
221#2439C2212yes—
222#2439C2212yes—
223#2439C2212yes—
224#2439C2211yescharacteristic
225#2432C2211yescharacteristic
226#2428C2212yes—
227#2428C2211yescharacteristic
228#2427C2211yescharacteristic
229#2427C2211yescharacteristic
230#2426C2212yes—
231#2426C2212yes—
232#2423C2212yes—
233#2422C2212yes—
234#2421C2212yes—
235#2421C2212yes—
236#2421C2211yescharacteristic
237#2420C2212yes—
238#2417C2212yes—
239#2416C2212yes—
240#2415C2212yes—
241#2415C2212yes—
242#2415C2212yes—
243#2415C2211yescharacteristic
244#2414C2212yes—
245#2414C2212yes—
246#2414C2212yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2211yescharacteristic
250#2398C2212yes—
251#2395C2212yes—
252#2392C2212yes—
253#2388C2212yes—
254#2377C2214yes—
255#2370C2212yes—
256#2369C2212yes—
257#2363C2212yes—
258#2363C2212yes—
259#2362C2212yes—
260#2362C2212yes—
261#2362C2212yes—
262#2362C2212yes—
263#2355C2211yescharacteristic
264#2355C2211yescharacteristic
265#2354C2211yescharacteristic
266#2354C2212yes—
267D4×C4⋊C4C2211yescharacteristic
268#2347C2212yes—
269#2347C2212yes—
270#2346C2212yes—
271#2345C2212yes—
272#2331C2212yes—
273#2331C2214yes—
274#2324C2212yes—
275#2323C2212yes—
276#2323C2212yes—
277#2323C2212yes—
278#2319C2212yes—
279#2319C2212yes—
280#2311C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290#2297C2212yes—
291#2296C2212yes—
292#2295C2211yescharacteristic
293#2290C2212yes—
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296#2283C2212yes—
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301Q82—44no—
302#555—44no—
303#533—44no—
304#532—44no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2311yescharacteristic
316#529—44no—
317C2×#126C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#124C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2314yes—
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2314yes—
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C4×#41—44no—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2312yes—
392C2×#117C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2312yes—
397C22×C42C2312yes—
398#401C2314yes—
399#401C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2312yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2312yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2312yes—
512#393C2314yes—
513#393C2312yes—
514#393C2312yes—
515#392C2312yes—
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2312yes—
521#392C2314yes—
522#392C2314yes—
523#392C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2314yes—
527#391C2312yes—
528#391C2314yes—
529#391C2314yes—
530#391C2314yes—
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2312yes—
536#391C2314yes—
537#391C2314yes—
538#391C2314yes—
539#391C2312yes—
540#391C2311yescharacteristic
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#391C2314yes—
548#391C2314yes—
549#391C2311yescharacteristic
550#391C2312yes—
551#390C2311yescharacteristic
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#390C2312yes—
571#390C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#385C2314yes—
714#385C2312yes—
715#385C2312yes—
716#384C2311yescharacteristic
717#384C2314yes—
718#384C2312yes—
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#383C2314yes—
722#383C2314yes—
723#383C2314yes—
724#382C2314yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2314yes—
729#382C2312yes—
730#382C2314yes—
731#382C2312yes—
732#382C2312yes—
733#382C2311yescharacteristic
734#382C2311yescharacteristic
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#381C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2314yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813#376C2312yes—
814#376C2314yes—
815C43C2311yescharacteristic
816C2×#41—44no—
817C2×#41—44no—
818C2×#41—44no—
819C2×#41—42no—
820C2×#41—42no—
821C2×#41—42no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2414yes—
828C22×Q8C2414yes—
829C22×Q8C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C4⋊Q8—24no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—42no—
862C4⋊Q8—42no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—42no—
866C4⋊Q8—48no—
867C4⋊Q8—48no—
868#127—42no—
869#126—44no—
870#125—44no—
871#125—42no—
872#125—44no—
873#124—44no—
874#124—42no—
875#124—42no—
876#124—42no—
877#124—48no—
878#124—84no—
879#124—84no—
880#124—84no—
881#124—84no—
882#123—44no—
883#123—84no—
884C22⋊Q8—24no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—42no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—42no—
895C22⋊Q8—42no—
896C22⋊Q8—42no—
897C22⋊Q8—82no—
898C22⋊Q8—84no—
899#121—24no—
900#121—44no—
901#121—44no—
902#121—48no—
903#121—44no—
904#121—44no—
905#121—42no—
906#121—42no—
907#121—42no—
908#121—42no—
909#121—44no—
910#121—44no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—44no—
915C4×Q8—42no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—82no—
919C4×D4—24no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—42no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—42no—
928C4×D4—44no—
929C4×D4—42no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—42no—
934C4×D4—44no—
935#117—28no—
936#117—44no—
937#117—44no—
938#117—44no—
939#117—44no—
940#117—42no—
941#117—44no—
942#117—44no—
943#117—82no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
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⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C42—24no—
1073C2×C42—24no—
1074C2×C42—44no—
1075C2×C42—44no—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24C2512yes—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2511yescharacteristic
1180C24C2511yescharacteristic
1181#41—416no—
1182#41—816no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—42no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—42no—
1275C22×C4—41no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—41no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2514yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2514yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—28no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—41no—
1355C4⋊C4—42no—
1356C4⋊C4—41no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C42−1+414yes—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—22no—
1392C22⋊C4—24no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—41no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—28no—
1458C42—22no—
1459C42—22no—
1460C42—24no—
1461C42—22no—
1462C42—24no—
1463C42—22no—
1464C42—42no—
1465C42—42no—
1466C42—42no—
1467C42—42no—
1468C42—44no—
1469C42—44no—
1470C42—44no—
1471C42—41no—
1472C42—44no—
1473C42—41no—
1474C42—44no—
1475C42—44no—
1476C42—44no—
1477C42H(5,𝔽2)14yes—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—21no—
1482C23—21no—
1483C23—22no—
1484C23—21no—
1485C23—22no—
1486C23—22no—
1487C23—21no—
1488C23—22no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—22no—
1493C23—21no—
1494C23—22no—
1495C23—21no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—21no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23—22no—
1507C23—21no—
1508C23—22no—
1509C23—21no—
1510C23—21no—
1511C23—22no—
1512C23—22no—
1513C23C2611yescharacteristic
1514Q8—44no—
1515Q8—44no—
1516Q8—44no—
1517Q8—84no—
1518Q8—84no—
1519Q8—84no—
1520Q8—164no—
1521Q8—164no—
1522D4—44no—
1523D4—48no—
1524D4—44no—
1525D4—44no—
1526D4—44no—
1527D4—84no—
1528D4—84no—
1529D4—84no—
1530D4—84no—
1531D4—84no—
1532D4—84no—
1533D4—84no—
1534D4—164no—
1535D4—164no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
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—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—24no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—44no—
1618C2×C4—48no—
1619C2×C4—44no—
1620C2×C4—48no—
1621C2×C4—48no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—84no—
1627C2×C4—82no—
1628C2×C4—84no—
1629C2×C4—84no—
1630C2×C4—164no—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×H(5,𝔽2)12yes—
1633C2×C4C2×H(5,𝔽2)12yes—
1634C2×C4C2×2−1+414yes—
1635C2×C4C2×2−1+412yes—
1636C2×C4#58512yes—
1637C2×C4#58512yes—
1638C2×C4#58512yes—
1639C2×C4#58512yes—
1640C22—42no—
1641C22—41no—
1642C22—41no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—41no—
1647C22—41no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—41no—
1652C22—42no—
1653C22—42no—
1654C22—41no—
1655C22—42no—
1656C22—41no—
1657C22—41no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—41no—
1662C22—42no—
1663C22—41no—
1664C22—42no—
1665C22—42no—
1666C22—41no—
1667C22—42no—
1668C22—42no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22C22×H(5,𝔽2)11yescharacteristic
1676C22C22×2−1+411yescharacteristic
1677C22C2×#58511yescharacteristic
1678C22C2×#58511yescharacteristic
1679C22C2×#58511yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22H(7,𝔽2)11yescharacteristic
1682C4—24no—
1683C4—22no—
1684C4—22no—
1685C4—41no—
1686C4—42no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—41no—
1692C4—41no—
1693C4—42no—
1694C4—42no—
1695C4—41no—
1696C4—42no—
1697C4—44no—
1698C4—41no—
1699C4—41no—
1700C4—42no—
1701C4—42no—
1702C4—44no—
1703C4—41no—
1704C4—44no—
1705C4—41no—
1706C4—42no—
1707C4—42no—
1708C4—44no—
1709C4—42no—
1710C4#354014yes—
1711C4#354714yes—
1712C2—81no—
1713C2—82no—
1714C2—81no—
1715C2—82no—
1716C2—82no—
1717C2C2×#354011yescharacteristic
1718C2C2×#354711yescharacteristic
1719C2#6284111yescharacteristic
1720C2#6293711yescharacteristic
1721C2#6295211yescharacteristic
1722C2#6295711yescharacteristic
1723C2#6302511yescharacteristic
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. #59659C2semidirect
2. #59234C2semidirect
3. #59230C2semidirect
4. #56027C2semidirect
5. #55361C2semidirect
6. #55112C2semidirect
7. #53061C2semidirect
8. #53046C2semidirect
9. #50001C2semidirect
10. #45616C2semidirect
11. #45594C2semidirect
12. #45408C2semidirect
13. #45225C2semidirect
14. #42993C2semidirect
15. #42778C2semidirect
16. #42766C2semidirect
17. #42758C2semidirect
18. #39987C2semidirect
19. #39597C2semidirect
20. #39469C2semidirect
21. #39158C2semidirect
22. #39125C2semidirect
23. #38977C2semidirect
24. #38131C2semidirect
25. #37974C2semidirect
26. #37640C2semidirect
27. #37363C2semidirect
28. #37325C2semidirect
29. #36411C2semidirect
30. #36210C2semidirect
31. #36174C2semidirect
32. #35189C2semidirect
33. #35177C2semidirect
34. #34889C2semidirect
35. #34720C2semidirect

Maximal subgroups

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

subgroupindex
#596592
#592342
#592302
#560272
#553612
#551122
#530612
#530462
#500012
#456162
#455942
#454082
#452252
#429932
#427782
#427662
#427582
#399872
#395972
#394692
#391582
#391252
#389772
#381312
#379742
#376402
#373632
#373252
#364112
#362102
#361742
#351892
#351772
#348892
#347202