Finite Group Databasebeta

← #8467024

Subgroups — #8467024

Order 512.

4445 conjugacy classes of subgroups.

The subgroup lattice has 1675 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59435C211yesmaximal, characteristic, complemented
2#59136C211yesmaximal, characteristic, complemented
3#59034C211yesmaximal, characteristic, complemented
4#57949C214yesmaximal, complemented
5#57357C214yesmaximal, complemented
6#54898C214yesmaximal, complemented
7#53111C212yesmaximal, complemented
8#53038C212yesmaximal, complemented
9#49600C214yesmaximal, complemented
10#46190C212yesmaximal, complemented
11#45632C212yesmaximal, complemented
12#45024C212yesmaximal, complemented
13#44920C212yesmaximal, complemented
14#42981C212yesmaximal, complemented
15#42956C212yesmaximal, complemented
16#42857C212yesmaximal, complemented
17#42776C212yesmaximal, complemented
18#39598C211yesmaximal, characteristic, complemented
19#39149C211yesmaximal, characteristic, complemented
20#39002C212yesmaximal, complemented
21#38961C212yesmaximal, complemented
22#38955C211yesmaximal, characteristic, complemented
23#38930C212yesmaximal, complemented
24#38920C211yesmaximal, characteristic, complemented
25#37955C212yesmaximal, complemented
26#37632C211yesmaximal, characteristic, complemented
27#37366C212yesmaximal, complemented
28#37338C212yesmaximal, complemented
29#36556C211yesmaximal, characteristic, complemented
30#36176C211yesmaximal, characteristic, complemented
31#36129C211yesmaximal, characteristic, complemented
32#35185C211yesmaximal, characteristic, complemented
33#35173C211yesmaximal, characteristic, complemented
34#34919C211yesmaximal, characteristic, complemented
35#34788C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C2×#529C2211yescharacteristic
42#2864C2212yes—
43#2864C2212yes—
44#2862C2211yescharacteristic
45#2860C2212yes—
46#2857C2211yescharacteristic
47#2857C2212yes—
48#2857C2211yescharacteristic
49#2857C2212yes—
50#2854C2212yes—
51#2844C2214yes—
52#2839C2214yes—
53#2837C2214yes—
54#2836C2214yes—
55#2833C2214yes—
56#2830C2214yes—
57#2821C2214yes—
58#2817C2214yes—
59#2808C2214yes—
60#2807C2214yes—
61#2800C2214yes—
62#2796C2214yes—
63#2791C2214yes—
64#2788C2214yes—
65#2788C2214yes—
66#2787C2214yes—
67#2787C2214yes—
68#2784C2214yes—
69#2779C2214yes—
70#2778C2214yes—
71#2777C2214yes—
72#2776C2214yes—
73#2775C2214yes—
74#2775C2214yes—
75#2774C2214yes—
76#2769C2214yes—
77#2765C2214yes—
78#2761C2214yes—
79#2748C2214yes—
80#2744C2214yes—
81#2743C2214yes—
82#2743C2214yes—
83#2742C2214yes—
84#2739C2214yes—
85#2738C2214yes—
86#2738C2214yes—
87#2738C2214yes—
88#2737C2214yes—
89#2729C2214yes—
90#2723C2214yes—
91#2718C2214yes—
92#2717C2214yes—
93#2706C2214yes—
94#2705C2214yes—
95#2705C2214yes—
96#2704C2214yes—
97#2703C2214yes—
98#2702C2214yes—
99#2698C2214yes—
100#2696C2214yes—
101#2696C2214yes—
102#2695C2214yes—
103#2693C2214yes—
104#2689C2214yes—
105#2687C2214yes—
106#2687C2214yes—
107#2683C2214yes—
108#2667C2214yes—
109#2660C2212yes—
110#2659C2214yes—
111#2652C2214yes—
112#2651C2214yes—
113#2650C2214yes—
114#2647C2214yes—
115#2647C2214yes—
116#2645C2212yes—
117#2640C2212yes—
118#2629C2212yes—
119#2628C2212yes—
120#2628C2212yes—
121#2624C2212yes—
122#2621C2212yes—
123#2614C2214yes—
124#2612C2214yes—
125#2604C2214yes—
126#2602C2214yes—
127#2589C2214yes—
128#2588C2214yes—
129#2584C2214yes—
130#2584C2212yes—
131#2584C2212yes—
132#2584C2212yes—
133#2574C2214yes—
134#2571C2212yes—
135#2571C2211yescharacteristic
136#2570C2212yes—
137#2567C2211yescharacteristic
138#2567C2211yescharacteristic
139#2567C2211yescharacteristic
140#2567C2212yes—
141#2563C2211yescharacteristic
142#2563C2211yescharacteristic
143#2563C2211yescharacteristic
144#2560C2212yes—
145#2558C2212yes—
146#2553C2214yes—
147#2550C2212yes—
148#2550C2212yes—
149#2550C2211yescharacteristic
150#2546C2211yescharacteristic
151#2546C2212yes—
152#2546C2211yescharacteristic
153#2545C2211yescharacteristic
154#2542C2212yes—
155#2540C2211yescharacteristic
156#2538C2211yescharacteristic
157#2538C2212yes—
158#2538C2212yes—
159#2536C2211yescharacteristic
160#2536C2212yes—
161#2532C2214yes—
162#2531C2214yes—
163#2529C2214yes—
164#2526C2214yes—
165#2525C2212yes—
166#2522C2214yes—
167#2520C2214yes—
168#2519C2212yes—
169#2516C2212yes—
170#2513C2212yes—
171#2513C2212yes—
172#2513C2211yescharacteristic
173#2512C2212yes—
174#2511C2212yes—
175#2510C2212yes—
176#2509C2212yes—
177#2509C2212yes—
178#2509C2211yescharacteristic
179#2509C2212yes—
180#2508C2212yes—
181#2508C2212yes—
182#2504C2211yescharacteristic
183#2503C2212yes—
184#2503C2212yes—
185#2501C2212yes—
186#2497C2214yes—
187#2497C2212yes—
188#2496C2212yes—
189#2496C2212yes—
190#2495C2212yes—
191#2495C2212yes—
192#2494C2211yescharacteristic
193#2494C2212yes—
194#2492C2212yes—
195#2492C2212yes—
196#2491C2211yescharacteristic
197#2490C2211yescharacteristic
198#2490C2212yes—
199#2489C2212yes—
200#2489C2211yescharacteristic
201#2488C2214yes—
202#2487C2212yes—
203#2487C2211yescharacteristic
204#2486C2212yes—
205#2486C2212yes—
206#2486C2212yes—
207#2469C2214yes—
208#2461C2214yes—
209#2461C2212yes—
210#2458C2214yes—
211#2452C2212yes—
212#2451C2212yes—
213#2448C2212yes—
214#2446C2212yes—
215#2446C2212yes—
216#2444C2212yes—
217#2442C2212yes—
218#2442C2212yes—
219#2442C2212yes—
220#2442C2212yes—
221#2442C2211yescharacteristic
222#2442C2212yes—
223#2441C2212yes—
224#2440C2212yes—
225#2440C2212yes—
226#2439C2212yes—
227#2432C2212yes—
228#2432C2212yes—
229#2429C2211yescharacteristic
230#2429C2212yes—
231#2429C2212yes—
232#2429C2212yes—
233#2426C2211yescharacteristic
234#2421C2212yes—
235#2421C2212yes—
236#2421C2212yes—
237#2420C2214yes—
238#2420C2212yes—
239#2420C2212yes—
240#2417C2212yes—
241#2417C2212yes—
242#2417C2212yes—
243#2416C2211yescharacteristic
244#2414C2212yes—
245#2414C2212yes—
246#2409C2214yes—
247#2409C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2401C2212yes—
251#2396C2212yes—
252#2395C2212yes—
253#2392C2212yes—
254#2376C2214yes—
255#2369C2211yescharacteristic
256#2365C2212yes—
257#2365C2211yescharacteristic
258#2361C2212yes—
259#2360C2212yes—
260#2356C2212yes—
261#2355C2212yes—
262#2354C2211yescharacteristic
263#2352C2212yes—
264#2352C2212yes—
265#2352C2212yes—
266Q8×C4⋊C4C2211yescharacteristic
267D4×C4⋊C4C2212yes—
268#2346C2212yes—
269#2346C2212yes—
270#2341C2212yes—
271Q8×C22⋊C4C2212yes—
272#2327C2212yes—
273#2324C2212yes—
274#2323C2212yes—
275#2319C2214yes—
276#2317C2212yes—
277#2316C2212yes—
278#2316C2212yes—
279#2314C2212yes—
280#2311C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×#125C2212yes—
284C4×#124C2211yescharacteristic
285C4×#124C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291#2293C2211yescharacteristic
292#2293C2212yes—
293#2290C2212yes—
294#2283C2211yescharacteristic
295#2283C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#554—44no—
302#547—44no—
303#533—44no—
304#533—44no—
305C2×C4⋊Q8—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316#529—44no—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2312yes—
389#401C2312yes—
390#401C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2312yes—
421#399C2314yes—
422#399C2312yes—
423#399C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#396C2312yes—
475#396C2314yes—
476#396C2312yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#395C2312yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#393C2312yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#392C2314yes—
513#392C2312yes—
514#392C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2314yes—
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2311yescharacteristic
546#390C2314yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2314yes—
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2312yes—
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#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2314yes—
711#383C2312yes—
712#383C2314yes—
713#383C2314yes—
714#382C2312yes—
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2314yes—
724#382C2314yes—
725#382C2314yes—
726#382C2312yes—
727#382C2314yes—
728#382C2311yescharacteristic
729#382C2312yes—
730#381C2314yes—
731#381C2314yes—
732#381C2314yes—
733#381C2312yes—
734#381C2314yes—
735#381C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2314yes—
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2314yes—
811#376C2312yes—
812#376C2314yes—
813C2×#95C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—44no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8—44no—
820C22×Q8—44no—
821C22×Q8—82no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2414yes—
849C23×C4C2414yes—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—42no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—42no—
860#126—44no—
861#126—84no—
862#126—84no—
863#125—24no—
864#125—42no—
865#125—44no—
866#125—44no—
867#125—44no—
868#124—42no—
869#124—42no—
870#124—44no—
871#123—48no—
872#123—44no—
873#123—48no—
874#123—84no—
875#123—84no—
876C22⋊Q8—48no—
877C22⋊Q8—44no—
878C22⋊Q8—42no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—42no—
882C22⋊Q8—42no—
883C22⋊Q8—44no—
884C22⋊Q8—42no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—84no—
889C22⋊Q8—84no—
890C22⋊Q8—82no—
891#121—24no—
892#121—24no—
893#121—44no—
894#121—42no—
895#121—42no—
896#121—44no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—44no—
900C4×Q8—42no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—42no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—82no—
907C4×D4—24no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—44no—
916C4×D4—48no—
917C4×D4—42no—
918#117—28no—
919#117—44no—
920#117—44no—
921#117—44no—
922#117—44no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C42—24no—
1058C2×C42—24no—
1059C2×C42—44no—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2414yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167C24C2512yes—
1168C24C2512yes—
1169C24C2511yescharacteristic
1170C24C2511yescharacteristic
1171#41—816no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—42no—
1190C2×Q8—44no—
1191C2×Q8—42no—
1192C2×Q8—44no—
1193C2×Q8—816no—
1194C2×D4—22no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—42no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—28no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—41no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C42−1+414yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2514yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C42−1+414yes—
1363C22⋊C4—24no—
1364C22⋊C4—22no—
1365C22⋊C4—24no—
1366C22⋊C4—22no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—28no—
1371C22⋊C4—22no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—41no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—24no—
1423C42—24no—
1424C42—28no—
1425C42—24no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—24no—
1430C42—22no—
1431C42—24no—
1432C42—22no—
1433C42—42no—
1434C42—42no—
1435C42—44no—
1436C42—44no—
1437C42—41no—
1438C42—42no—
1439C42—44no—
1440C42—42no—
1441C42—44no—
1442C42—41no—
1443C42—44no—
1444C42—42no—
1445C42—42no—
1446C42H(5,𝔽2)14yes—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23C2×2−1+412yes—
1474C23#58512yes—
1475C23C2611yescharacteristic
1476Q8—48no—
1477Q8—44no—
1478Q8—44no—
1479Q8—48no—
1480Q8—84no—
1481Q8—84no—
1482Q8—88no—
1483D4—48no—
1484D4—44no—
1485D4—44no—
1486D4—44no—
1487D4—84no—
1488D4—84no—
1489D4—84no—
1490D4—88no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—28no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—24no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—24no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—24no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—48no—
1582C2×C4—84no—
1583C2×C4—82no—
1584C2×C4—84no—
1585C2×C4—88no—
1586C2×C4—88no—
1587C2×C4—164no—
1588C2×C4C2×H(5,𝔽2)12yes—
1589C2×C4C2×H(5,𝔽2)12yes—
1590C2×C4C2×H(5,𝔽2)12yes—
1591C2×C4C2×2−1+414yes—
1592C2×C4C2×2−1+412yes—
1593C2×C4C2×2−1+412yes—
1594C2×C4C2×2−1+412yes—
1595C2×C4#58512yes—
1596C2×C4#58512yes—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22C22×H(5,𝔽2)11yescharacteristic
1626C22C22×2−1+411yescharacteristic
1627C22C22×2−1+411yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22C2×#58511yescharacteristic
1630C22C2×#58511yescharacteristic
1631C22H(7,𝔽2)11yescharacteristic
1632C4—22no—
1633C4—24no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—42no—
1638C4—44no—
1639C4—42no—
1640C4—42no—
1641C4—41no—
1642C4—42no—
1643C4—41no—
1644C4—42no—
1645C4—42no—
1646C4—41no—
1647C4—42no—
1648C4—41no—
1649C4—44no—
1650C4—44no—
1651C4—41no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—44no—
1659C4—41no—
1660C4—42no—
1661C4#355114yes—
1662C4#355214yes—
1663C2—42no—
1664C2—42no—
1665C2—82no—
1666C2—82no—
1667C2C2×#355111yescharacteristic
1668C2C2×#355211yescharacteristic
1669C2#6283111yescharacteristic
1670C2#6292411yescharacteristic
1671C2#6292911yescharacteristic
1672C2#6295211yescharacteristic
1673C2#6302311yescharacteristic
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. #59435C2semidirect
2. #59136C2semidirect
3. #59034C2semidirect
4. #57949C2semidirect
5. #57357C2semidirect
6. #54898C2semidirect
7. #53111C2semidirect
8. #53038C2semidirect
9. #49600C2semidirect
10. #46190C2semidirect
11. #45632C2semidirect
12. #45024C2semidirect
13. #44920C2semidirect
14. #42981C2semidirect
15. #42956C2semidirect
16. #42857C2semidirect
17. #42776C2semidirect
18. #39598C2semidirect
19. #39149C2semidirect
20. #39002C2semidirect
21. #38961C2semidirect
22. #38955C2semidirect
23. #38930C2semidirect
24. #38920C2semidirect
25. #37955C2semidirect
26. #37632C2semidirect
27. #37366C2semidirect
28. #37338C2semidirect
29. #36556C2semidirect
30. #36176C2semidirect
31. #36129C2semidirect
32. #35185C2semidirect
33. #35173C2semidirect
34. #34919C2semidirect
35. #34788C2semidirect

Maximal subgroups

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

subgroupindex
#594352
#591362
#590342
#579492
#573572
#548982
#531112
#530382
#496002
#461902
#456322
#450242
#449202
#429812
#429562
#428572
#427762
#395982
#391492
#390022
#389612
#389552
#389302
#389202
#379552
#376322
#373662
#373382
#365562
#361762
#361292
#351852
#351732
#349192
#347882