Finite Group Databasebeta

← #8106093

Subgroups — #8106093

Order 512.

5879 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53064C212yesmaximal, complemented
2#53006C211yesmaximal, characteristic, complemented
3#52967C211yesmaximal, characteristic, complemented
4#52413C212yesmaximal, complemented
5#52397C212yesmaximal, complemented
6#52324C214yesmaximal, complemented
7#45236C212yesmaximal, complemented
8#45115C211yesmaximal, characteristic, complemented
9#45103C211yesmaximal, characteristic, complemented
10#44194C214yesmaximal, complemented
11#43667C212yesmaximal, complemented
12#43198C212yesmaximal, complemented
13#42942C212yesmaximal, complemented
14#42919C212yesmaximal, complemented
15#42643C212yesmaximal, complemented
16#42463C212yesmaximal, complemented
17#42136C212yesmaximal, complemented
18#42035C212yesmaximal, complemented
19#41204C212yesmaximal, complemented
20#40943C212yesmaximal, complemented
21#40758C214yesmaximal, complemented
22#40728C214yesmaximal, complemented
23#36168C212yesmaximal, complemented
24#36156C212yesmaximal, complemented
25#36148C212yesmaximal, complemented
26#36096C212yesmaximal, complemented
27#35251C212yesmaximal, complemented
28#35240C211yesmaximal, characteristic, complemented
29#35076C211yesmaximal, characteristic, complemented
30#35023C212yesmaximal, complemented
31C2×#2388C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic, complemented
33C2×#552C2212yescomplemented
34C2×#546C2212yescomplemented
35C2×#537C2212yescomplemented
36C2×#537C2212yescomplemented
37C2×#533C2211yescharacteristic, complemented
38C2×#525C2212yes—
39C22×#121C2211yescharacteristic
40C22×C4×D4C2212yes—
41C22×C4×D4C2211yescharacteristic
42#2854C2212yes—
43#2851C2212yescomplemented
44#2850C2212yes—
45#2848C2212yes—
46#2848C2212yescomplemented
47#2848C2212yescomplemented
48#2847C2212yes—
49#2847C2212yes—
50#2843C2212yescomplemented
51#2838C2214yescomplemented
52#2837C2214yescomplemented
53#2833C2214yescomplemented
54#2832C2212yescomplemented
55#2828C2214yescomplemented
56#2828C2214yescomplemented
57#2828C2214yescomplemented
58#2826C2212yescomplemented
59#2825C2214yescomplemented
60#2825C2214yescomplemented
61#2814C2214yescomplemented
62#2813C2214yescomplemented
63#2812C2212yescomplemented
64#2803C2214yescomplemented
65#2799C2212yescomplemented
66#2797C2214yescomplemented
67#2795C2212yescomplemented
68#2781C2214yescomplemented
69#2778C2214yescomplemented
70#2778C2214yescomplemented
71#2759C2214yescomplemented
72#2756C2214yescomplemented
73#2756C2214yescomplemented
74#2752C2214yescomplemented
75#2751C2214yescomplemented
76#2742C2212yescomplemented
77#2741C2214yescomplemented
78#2740C2214yescomplemented
79#2737C2214yescomplemented
80#2736C2212yescomplemented
81#2733C2214yescomplemented
82#2733C2212yescomplemented
83#2723C2214yescomplemented
84#2720C2214yescomplemented
85#2714C2214yescomplemented
86#2714C2214yescomplemented
87#2711C2214yescomplemented
88#2703C2214yescomplemented
89#2703C2214yescomplemented
90#2699C2214yescomplemented
91#2699C2214yescomplemented
92#2693C2212yescomplemented
93#2690C2214yescomplemented
94#2680C2212yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2671C2214yescomplemented
98#2670C2214yescomplemented
99#2668C2212yescomplemented
100#2661C2214yescomplemented
101#2661C2214yescomplemented
102#2651C2214yescomplemented
103#2648C2214yescomplemented
104#2648C2214yescomplemented
105#2643C2214yescomplemented
106#2635C2212yescomplemented
107#2635C2212yescomplemented
108#2633C2212yescomplemented
109#2633C2212yescomplemented
110#2631C2214yescomplemented
111#2624C2214yescomplemented
112#2622C2214yescomplemented
113#2617C2214yescomplemented
114#2616C2212yescomplemented
115#2616C2212yescomplemented
116#2615C2212yescomplemented
117#2615C2212yescomplemented
118#2597C2214yescomplemented
119#2595C2214yescomplemented
120#2591C2212yes—
121#2578C2214yescomplemented
122#2578C2214yescomplemented
123#2576C2214yescomplemented
124#2574C2214yescomplemented
125#2572C2212yescomplemented
126#2562C2212yescomplemented
127#2561C2214yescomplemented
128#2560C2214yescomplemented
129#2558C2214yescomplemented
130#2557C2214yescomplemented
131#2547C2211yescharacteristic, complemented
132#2547C2211yescharacteristic, complemented
133#2542C2211yescharacteristic, complemented
134#2542C2211yescharacteristic, complemented
135#2540C2212yescomplemented
136#2539C2212yes—
137#2537C2212yescomplemented
138#2536C2212yescomplemented
139#2536C2212yescomplemented
140#2536C2212yescomplemented
141#2535C2212yescomplemented
142#2531C2214yescomplemented
143#2523C2212yescomplemented
144#2510C2214yescomplemented
145#2510C2214yescomplemented
146#2504C2212yescomplemented
147#2502C2212yescomplemented
148#2500C2214yescomplemented
149#2495C2212yescomplemented
150#2495C2212yescomplemented
151#2494C2212yescomplemented
152#2494C2212yescomplemented
153#2491C2212yescomplemented
154#2490C2214yescomplemented
155#2490C2212yescomplemented
156#2490C2212yescomplemented
157#2489C2212yescomplemented
158#2487C2211yescharacteristic, complemented
159#2487C2211yescharacteristic, complemented
160#2486C2212yescomplemented
161#2485C2212yescomplemented
162#2482C2212yes—
163#2482C2212yescomplemented
164#2480C2214yes—
165#2476C2214yescomplemented
166#2476C2214yescomplemented
167#2473C2214yescomplemented
168#2472C2214yescomplemented
169#2468C2214yescomplemented
170#2464C2214yescomplemented
171#2460C2214yescomplemented
172#2460C2214yescomplemented
173#2459C2214yescomplemented
174#2458C2214yescomplemented
175#2456C2214yescomplemented
176#2450C2214yescomplemented
177#2443C2214yes—
178#2442C2212yescomplemented
179#2439C2212yescomplemented
180#2437C2212yescomplemented
181#2435C2212yes—
182#2432C2212yescomplemented
183#2430C2214yescomplemented
184#2430C2214yescomplemented
185#2429C2212yescomplemented
186#2427C2212yescomplemented
187#2426C2212yescomplemented
188#2426C2212yescomplemented
189#2424C2214yes—
190#2424C2214yescomplemented
191#2421C2212yescomplemented
192#2421C2212yescomplemented
193#2420C2212yescomplemented
194#2420C2212yescomplemented
195#2419C2214yescomplemented
196#2419C2214yescomplemented
197#2418C2214yescomplemented
198#2417C2212yescomplemented
199#2417C2212yescomplemented
200#2415C2212yescomplemented
201#2414C2212yescomplemented
202#2414C2212yescomplemented
203#2414C2212yescomplemented
204#2412C2214yescomplemented
205#2411C2214yescomplemented
206#2410C2214yescomplemented
207#2410C2214yescomplemented
208#2409C2214yescomplemented
209#2408C2212yescomplemented
210#2408C2211yescharacteristic, complemented
211#2408C2211yescharacteristic, complemented
212#2408C2214yescomplemented
213#2407C2212yescomplemented
214#2407C2214yescomplemented
215#2407C2214yescomplemented
216#2405C2212yes—
217#2405C2214yes—
218#2403C2214yes—
219#2403C2212yes—
220#2388C2211yescharacteristic
221#2388C2211yescharacteristic
222#2388C2212yes—
223#2388C2212yes—
224#2388C2211yescharacteristic
225#2388C2211yescharacteristic
226#2388C2211yescharacteristic, complemented
227#2388C2211yescharacteristic, complemented
228#2388C2212yescomplemented
229#2388C2212yescomplemented
230#2388C2211yescharacteristic, complemented
231#2388C2211yescharacteristic, complemented
232C2×#395C2211yescharacteristic, complemented
233C2×#394C2212yescomplemented
234C2×#394C2211yescharacteristic, complemented
235C2×#393C2211yescharacteristic
236C2×#392C2212yes—
237C2×#392C2211yescharacteristic
238#2367C2214yescomplemented
239#2362C2212yescomplemented
240#2361C2212yescomplemented
241#2359C2214yescomplemented
242#2359C2214yescomplemented
243#2358C2214yescomplemented
244#2358C2214yescomplemented
245#2353C2214yescomplemented
246#2352C2212yescomplemented
247#2352C2212yescomplemented
248#2345C2212yescomplemented
249#2342C2214yescomplemented
250#2341C2212yescomplemented
251D4×C22⋊C4C2214yes—
252#2326C2212yescomplemented
253#2326C2212yescomplemented
254#2321C2212yescomplemented
255#2321C2212yescomplemented
256#2321C2214yescomplemented
257#2318C2214yescomplemented
258#2311C2212yescomplemented
259#2311C2212yescomplemented
260C4×C22⋊Q8C2212yescomplemented
261C4×#121C2212yes—
262#2283C2211yescharacteristic, complemented
263#2280C2211yescharacteristic
264C2×#380C2212yescomplemented
265C2×C4×C22⋊C4C2212yescomplemented
266C2×C4×C22⋊C4C2211yescharacteristic, complemented
267C22×#41—44no—
268C22×#41—48no—
269C22×#41C2311yescharacteristic
270C22×#41C2312yes—
271C22×#41C2312yes—
272C22×#41C2311yescharacteristic
273C22×#41C2311yescharacteristic
274C22×#41C2312yes—
275C22×#41C2311yescharacteristic
276C23×Q8C2311yescharacteristic
277C23×D4C2312yes—
278C23×D4C2311yescharacteristic
279C23×D4C2312yes—
280C23×D4C2312yes—
281C23×D4C2311yescharacteristic
282C23×D4C2311yescharacteristic
283C24×C4C2312yes—
284C24×C4C2311yescharacteristic
285C24×C4C2311yescharacteristic
286#552—48no—
287#546—48no—
288#537—48no—
289#537—48no—
290#533—44no—
291C2×C4⋊Q8C2311yescharacteristic
292C2×C4⋊Q8C2311yescharacteristic
293C2×#126C2314yes—
294C2×#125C2312yes—
295C2×#125C2312yes—
296C2×#125C2314yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2314yes—
301#525—48no—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×#121—44no—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#120C2314yes—
336C2×#120C2312yes—
337C2×#120C2312yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×D4—44no—
346C2×C4×D4—48no—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×#117C2312yes—
369C2×#117C2314yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2312yes—
389#401C2314yes—
390#401C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#399C2312yes—
401#399C2312yes—
402#399C2312yes—
403#399C2314yes—
404#399C2312yes—
405#399C2312yes—
406#399C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#395C2314yes—
444#395C2311yescharacteristic
445#395C2312yes—
446#395C2311yescharacteristic
447#395C2314yes—
448#395C2311yescharacteristic
449#395C2311yescharacteristic
450#395C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2311yescharacteristic
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#394C2312yes—
486#394C2312yes—
487#394C2311yescharacteristic
488#394C2312yes—
489#394C2311yescharacteristic
490#394C2312yes—
491#394C2311yescharacteristic
492#394C2314yes—
493#394C2314yes—
494#393C2311yescharacteristic
495#393C2312yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2311yescharacteristic
501#393C2311yescharacteristic
502#393C2312yes—
503#393C2311yescharacteristic
504#392C2312yes—
505#392C2312yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2311yescharacteristic
513#392C2311yescharacteristic
514#392C2314yes—
515#392C2312yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2312yes—
521#392C2312yes—
522#392C2314yes—
523#392C2312yes—
524#392C2311yescharacteristic
525#392C2312yes—
526#392C2312yes—
527#392C2312yes—
528#392C2312yes—
529#392C2311yescharacteristic
530#392C2312yes—
531#392C2312yes—
532#392C2314yes—
533#391C2314yes—
534#391C2314yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2314yes—
539#391C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2312yes—
635#386C2312yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#385C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#384C2312yes—
666#384C2312yes—
667#383C2314yes—
668#383C2312yes—
669#383C2314yes—
670#382C2314yes—
671#382C2312yes—
672#382C2312yes—
673#382C2312yes—
674#381C2314yes—
675#381C2314yes—
676#381C2314yes—
677#381C2312yes—
678#381C2312yes—
679#380C2311yescharacteristic
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2314yes—
691#380C2314yes—
692#380C2314yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2312yes—
701#380C2314yes—
702#380C2311yescharacteristic
703#379C2312yes—
704#379C2314yes—
705#379C2314yes—
706#379C2312yes—
707#379C2314yes—
708#379C2314yes—
709#379C2312yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2311yescharacteristic
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2311yescharacteristic
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2311yescharacteristic
736C4×C22⋊C4C2311yescharacteristic
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739#376C2312yes—
740C2×#95C2311yescharacteristic
741C2×#95C2314yes—
742C2×#95C2312yes—
743C2×#95C2311yescharacteristic
744C2×#95C2312yes—
745C25C2412yes—
746C25C2411yescharacteristic
747C25C2411yescharacteristic
748C25C2412yes—
749C2×#41—28no—
750C2×#41—28no—
751C2×#41—28no—
752C2×#41—44no—
753C2×#41—42no—
754C2×#41—44no—
755C2×#41—42no—
756C2×#41—44no—
757C2×#41—42no—
758C2×#41—44no—
759C2×#41—42no—
760C2×#41—44no—
761C2×#41—44no—
762C2×#41—44no—
763C2×#41—44no—
764C2×#41—44no—
765C2×#41—44no—
766C2×#41—464no—
767C22×Q8—42no—
768C22×Q8—44no—
769C22×Q8C2412yes—
770C22×Q8C2411yescharacteristic
771C22×Q8C2412yes—
772C22×Q8C2412yes—
773C22×Q8C2411yescharacteristic
774C22×D4—42no—
775C22×D4—44no—
776C22×D4—42no—
777C22×D4—44no—
778C22×D4—42no—
779C22×D4—44no—
780C22×D4—42no—
781C22×D4—44no—
782C22×D4—44no—
783C22×D4—44no—
784C22×D4—42no—
785C22×D4—44no—
786C22×D4—44no—
787C22×D4—44no—
788C22×D4—48no—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2412yes—
792C22×D4C2411yescharacteristic
793C22×D4C2411yescharacteristic
794C22×D4C2412yes—
795C22×D4C2412yes—
796C22×D4C2411yescharacteristic
797C22×D4C2412yes—
798C22×D4C2411yescharacteristic
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2412yes—
802C22×D4C2412yes—
803C22×D4C2412yes—
804C22×D4C2411yescharacteristic
805C22×D4C2412yes—
806C22×D4C2414yes—
807C22×D4C2414yes—
808C22×D4C2414yes—
809C22×D4C2414yes—
810C22×D4C2412yes—
811C22×D4C2414yes—
812C22×D4C2412yes—
813C22×D4C2411yescharacteristic
814C23×C4—28no—
815C23×C4—24no—
816C23×C4—28no—
817C23×C4—24no—
818C23×C4—44no—
819C23×C4—44no—
820C23×C4—44no—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C4⋊Q8—42no—
847C4⋊Q8—42no—
848#126—48no—
849#125—44no—
850#125—44no—
851#125—48no—
852#124—44no—
853#124—44no—
854#124—44no—
855#124—48no—
856#123—48no—
857#123—48no—
858#123—48no—
859#123—48no—
860#123—48no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—44no—
864C22⋊Q8—48no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—48no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—44no—
872#121—28no—
873#121—28no—
874#121—44no—
875#121—48no—
876#121—48no—
877#121—48no—
878#121—48no—
879#121—44no—
880#121—44no—
881#121—44no—
882#121—44no—
883#121—48no—
884#121—44no—
885#121—44no—
886#121—48no—
887#121—48no—
888#120—44no—
889#120—48no—
890#120—48no—
891#120—44no—
892#120—48no—
893#120—48no—
894#120—48no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—48no—
901C4×D4—44no—
902C4×D4—42no—
903C4×D4—42no—
904C4×D4—42no—
905C4×D4—42no—
906C4×D4—42no—
907C4×D4—42no—
908C4×D4—42no—
909C4×D4—42no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—48no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—48no—
918C4×D4—48no—
919#117—44no—
920#117—48no—
921#117—44no—
922#117—44no—
923C2×C4⋊C4—28no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—42no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—42no—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C22⋊C4—44no—
967C2×C22⋊C4—44no—
968C2×C22⋊C4—44no—
969C2×C22⋊C4—48no—
970C2×C22⋊C4—48no—
971C2×C22⋊C4—44no—
972C2×C22⋊C4—44no—
973C2×C22⋊C4—44no—
974C2×C22⋊C4—42no—
975C2×C22⋊C4—42no—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C42—24no—
1049C2×C42—44no—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2411yescharacteristic
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2411yescharacteristic
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116C24—24no—
1117C24—22no—
1118C24—22no—
1119C24—22no—
1120C24—24no—
1121C24—24no—
1122C24—24no—
1123C24—24no—
1124C24—24no—
1125C24—24no—
1126C24—42no—
1127C24—42no—
1128C24—42no—
1129C24—42no—
1130C24—41no—
1131C24—41no—
1132C24—42no—
1133C24—41no—
1134C24—42no—
1135C24—44no—
1136C24—44no—
1137C24—42no—
1138C24C2511yescharacteristic
1139C24C2514yes—
1140C24C2512yes—
1141C24C2511yescharacteristic
1142C24C2511yescharacteristic
1143C24C2512yes—
1144C24C2511yescharacteristic
1145C24C2511yescharacteristic
1146#41—416no—
1147#41—432no—
1148#41—416no—
1149#41—432no—
1150#41—416no—
1151#41—416no—
1152#41—816no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—41no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—41no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—416no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—28no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—28no—
1175C2×D4—22no—
1176C2×D4—24no—
1177C2×D4—28no—
1178C2×D4—24no—
1179C2×D4—22no—
1180C2×D4—28no—
1181C2×D4—28no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—41no—
1196C2×D4—42no—
1197C2×D4—41no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—41no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—41no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—41no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—416no—
1240C2×D4—432no—
1241C2×D4—432no—
1242C2×D4—416no—
1243C2×D4—88no—
1244C2×D4—816no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—28no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—28no—
1278C22×C4—22no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—432no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—416no—
1307C22×C4—88no—
1308C22×C4H(5,𝔽2)14yes—
1309C22×C4H(5,𝔽2)18yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2514yes—
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2514yes—
1320C22×C4C2514yes—
1321C22×C4C2514yes—
1322C22×C4C2514yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2514yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—28no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—24no—
1448C42—24no—
1449C42—24no—
1450C42—42no—
1451C42—42no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42—42no—
1458C42—44no—
1459C23—22no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—21no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—24no—
1474C23—24no—
1475C23—24no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—24no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—24no—
1494C23—24no—
1495C23—21no—
1496C23—21no—
1497C23—22no—
1498C23—24no—
1499C23—21no—
1500C23—22no—
1501C23—48no—
1502C23—44no—
1503C23—48no—
1504C23—48no—
1505C23—48no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—48no—
1510C23—44no—
1511C23—82no—
1512C23—84no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23—84no—
1517C23—84no—
1518C23—84no—
1519C23—88no—
1520C23—84no—
1521C23—84no—
1522C23—164no—
1523C23C2×H(5,𝔽2)14yes—
1524C23C2×H(5,𝔽2)12yes—
1525C23#58512yes—
1526C23#58514yes—
1527C23C2611yescharacteristic
1528Q8—44no—
1529Q8—48no—
1530Q8—44no—
1531Q8—48no—
1532Q8—84no—
1533D4—44no—
1534D4—48no—
1535D4—44no—
1536D4—48no—
1537D4—48no—
1538D4—44no—
1539D4—44no—
1540D4—48no—
1541D4—48no—
1542D4—48no—
1543D4—48no—
1544D4—44no—
1545D4—48no—
1546D4—48no—
1547D4—44no—
1548D4—416no—
1549D4—48no—
1550D4—88no—
1551D4—88no—
1552D4—88no—
1553D4—88no—
1554D4—84no—
1555D4—164no—
1556D4—164no—
1557D4—164no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—28no—
1564C2×C4—216no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—48no—
1617C2×C4—48no—
1618C2×C4—48no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—48no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—82no—
1631C2×C4—82no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4—84no—
1635C2×C4—82no—
1636C2×C4—84no—
1637C2×C4—164no—
1638C2×C4—164no—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4C2×H(5,𝔽2)14yes—
1641C2×C4C2×H(5,𝔽2)12yes—
1642C2×C4C2×H(5,𝔽2)14yes—
1643C2×C4#58512yes—
1644C22—22no—
1645C22—24no—
1646C22—24no—
1647C22—22no—
1648C22—22no—
1649C22—24no—
1650C22—24no—
1651C22—24no—
1652C22—24no—
1653C22—42no—
1654C22—41no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—42no—
1664C22—44no—
1665C22—44no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—44no—
1675C22—42no—
1676C22—44no—
1677C22—44no—
1678C22—44no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—44no—
1689C22—816no—
1690C22—88no—
1691C22—88no—
1692C22—168no—
1693C22#355114yes—
1694C22C22×H(5,𝔽2)11yescharacteristic
1695C22C22×H(5,𝔽2)12yes—
1696C22C2×#58511yescharacteristic
1697C22C2×#58511yescharacteristic
1698C22C2×#58512yes—
1699C4—22no—
1700C4—22no—
1701C4—24no—
1702C4—41no—
1703C4—44no—
1704C4—41no—
1705C4—41no—
1706C4—44no—
1707C4—42no—
1708C4—42no—
1709C4—44no—
1710C4—44no—
1711C4—42no—
1712C4—42no—
1713C4—44no—
1714C4—44no—
1715C4—42no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—44no—
1721C4#353214yes—
1722C2—24no—
1723C2—44no—
1724C2—42no—
1725C2—81no—
1726C2—81no—
1727C2—81no—
1728C2—82no—
1729C2—84no—
1730C2C2×#353211yescharacteristic
1731C2#6272911yescharacteristic
1732C2C2×#355111yescharacteristic
1733C2#6282112yes—
1734C2#6283012yes—
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. #53064C2semidirect
2. #53006C2semidirect
3. #52967C2semidirect
4. #52413C2semidirect
5. #52397C2semidirect
6. #52324C2semidirect
7. #45236C2semidirect
8. #45115C2semidirect
9. #45103C2semidirect
10. #44194C2semidirect
11. #43667C2semidirect
12. #43198C2semidirect
13. #42942C2semidirect
14. #42919C2semidirect
15. #42643C2semidirect
16. #42463C2semidirect
17. #42136C2semidirect
18. #42035C2semidirect
19. #41204C2semidirect
20. #40943C2semidirect
21. #40758C2semidirect
22. #40728C2semidirect
23. #36168C2semidirect
24. #36156C2semidirect
25. #36148C2semidirect
26. #36096C2semidirect
27. #35251C2semidirect
28. #35240C2semidirect
29. #35076C2semidirect
30. #35023C2semidirect
31. C2×#2388C2semidirect
32. C23×#41C22semidirect
33. C2×#552C22semidirect
34. C2×#546C22semidirect
35. C2×#537C22semidirect
36. C2×#537C22semidirect
37. C2×#533C22semidirect
43. #2851C22semidirect
46. #2848C22semidirect
47. #2848C22semidirect
50. #2843C22semidirect
51. #2838C22semidirect
52. #2837C22semidirect
53. #2833C22semidirect
54. #2832C22semidirect
55. #2828C22semidirect
56. #2828C22semidirect
57. #2828C22semidirect
58. #2826C22semidirect
59. #2825C22semidirect
60. #2825C22semidirect
61. #2814C22semidirect
62. #2813C22semidirect
63. #2812C22semidirect
64. #2803C22semidirect
65. #2799C22semidirect
66. #2797C22semidirect
67. #2795C22semidirect
68. #2781C22semidirect
69. #2778C22semidirect
70. #2778C22semidirect
71. #2759C22semidirect
72. #2756C22semidirect
73. #2756C22semidirect
74. #2752C22semidirect
75. #2751C22semidirect
76. #2742C22semidirect
77. #2741C22semidirect
78. #2740C22semidirect
79. #2737C22semidirect
80. #2736C22semidirect
81. #2733C22semidirect
82. #2733C22semidirect
83. #2723C22semidirect
84. #2720C22semidirect
85. #2714C22semidirect
86. #2714C22semidirect
87. #2711C22semidirect
88. #2703C22semidirect
89. #2703C22semidirect
90. #2699C22semidirect
91. #2699C22semidirect
92. #2693C22semidirect
93. #2690C22semidirect
94. #2680C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2671C22semidirect
98. #2670C22semidirect
99. #2668C22semidirect
100. #2661C22semidirect
101. #2661C22semidirect
102. #2651C22semidirect
103. #2648C22semidirect
104. #2648C22semidirect
105. #2643C22semidirect
106. #2635C22semidirect
107. #2635C22semidirect
108. #2633C22semidirect
109. #2633C22semidirect
110. #2631C22semidirect
111. #2624C22semidirect
112. #2622C22semidirect
113. #2617C22semidirect
114. #2616C22semidirect
115. #2616C22semidirect
116. #2615C22semidirect
117. #2615C22semidirect
118. #2597C22semidirect
119. #2595C22semidirect
121. #2578C22semidirect
122. #2578C22semidirect
123. #2576C22semidirect
124. #2574C22semidirect
125. #2572C22semidirect
126. #2562C22semidirect
127. #2561C22semidirect
128. #2560C22semidirect
129. #2558C22semidirect
130. #2557C22semidirect
131. #2547C22semidirect
132. #2547C22semidirect
133. #2542C22semidirect
134. #2542C22semidirect
135. #2540C22semidirect
137. #2537C22semidirect
138. #2536C22semidirect
139. #2536C22semidirect
140. #2536C22semidirect
141. #2535C22semidirect
142. #2531C22semidirect
143. #2523C22semidirect
144. #2510C22semidirect
145. #2510C22semidirect
146. #2504C22semidirect
147. #2502C22semidirect
148. #2500C22semidirect
149. #2495C22semidirect
150. #2495C22semidirect
151. #2494C22semidirect
152. #2494C22semidirect
153. #2491C22semidirect
154. #2490C22semidirect
155. #2490C22semidirect
156. #2490C22semidirect
157. #2489C22semidirect
158. #2487C22semidirect
159. #2487C22semidirect
160. #2486C22semidirect
161. #2485C22semidirect
163. #2482C22semidirect
165. #2476C22semidirect
166. #2476C22semidirect
167. #2473C22semidirect
168. #2472C22semidirect
169. #2468C22semidirect
170. #2464C22semidirect
171. #2460C22semidirect
172. #2460C22semidirect
173. #2459C22semidirect
174. #2458C22semidirect
175. #2456C22semidirect
176. #2450C22semidirect
178. #2442C22semidirect
179. #2439C22semidirect
180. #2437C22semidirect
182. #2432C22semidirect
183. #2430C22semidirect
184. #2430C22semidirect
185. #2429C22semidirect
186. #2427C22semidirect
187. #2426C22semidirect
188. #2426C22semidirect
190. #2424C22semidirect
191. #2421C22semidirect
192. #2421C22semidirect
193. #2420C22semidirect
194. #2420C22semidirect
195. #2419C22semidirect
196. #2419C22semidirect
197. #2418C22semidirect
198. #2417C22semidirect
199. #2417C22semidirect
200. #2415C22semidirect
201. #2414C22semidirect
202. #2414C22semidirect
203. #2414C22semidirect
204. #2412C22semidirect
205. #2411C22semidirect
206. #2410C22semidirect
207. #2410C22semidirect
208. #2409C22semidirect
209. #2408C22semidirect
210. #2408C22semidirect
211. #2408C22semidirect
212. #2408C22semidirect
213. #2407C22semidirect
214. #2407C22semidirect
215. #2407C22semidirect
226. #2388C22semidirect
227. #2388C22semidirect
228. #2388C22semidirect
229. #2388C22semidirect
230. #2388C22semidirect
231. #2388C22semidirect
232. C2×#395C22semidirect
233. C2×#394C22semidirect
234. C2×#394C22semidirect
238. #2367C22semidirect
239. #2362C22semidirect
240. #2361C22semidirect
241. #2359C22semidirect
242. #2359C22semidirect
243. #2358C22semidirect
244. #2358C22semidirect
245. #2353C22semidirect
246. #2352C22semidirect
247. #2352C22semidirect
248. #2345C22semidirect
249. #2342C22semidirect
250. #2341C22semidirect
252. #2326C22semidirect
253. #2326C22semidirect
254. #2321C22semidirect
255. #2321C22semidirect
256. #2321C22semidirect
257. #2318C22semidirect
258. #2311C22semidirect
259. #2311C22semidirect
260. C4×C22⋊Q8C22semidirect
262. #2283C22semidirect
264. C2×#380C22semidirect
265. C2×C4×C22⋊C4C22semidirect
266. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#530642
#530062
#529672
#524132
#523972
#523242
#452362
#451152
#451032
#441942
#436672
#431982
#429422
#429192
#426432
#424632
#421362
#420352
#412042
#409432
#407582
#407282
#361682
#361562
#361482
#360962
#352512
#352402
#350762
#350232
C2×#23882