Finite Group Databasebeta

← #7712008

Subgroups — #7712008

Order 512.

4832 conjugacy classes of subgroups.

The subgroup lattice has 1697 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59290C212yesmaximal, complemented
2#59289C212yesmaximal, complemented
3#59206C212yesmaximal, complemented
4#59203C212yesmaximal, complemented
5#46139C214yesmaximal, complemented
6#45981C214yesmaximal, complemented
7#39608C211yesmaximal, characteristic, complemented
8#39607C211yesmaximal, characteristic, complemented
9#39480C211yesmaximal, characteristic, complemented
10#39479C211yesmaximal, characteristic, complemented
11#37967C214yesmaximal, complemented
12#37962C212yesmaximal, complemented
13#37938C212yesmaximal, complemented
14#37887C212yesmaximal, complemented
15#37878C212yesmaximal, complemented
16#37853C212yesmaximal, complemented
17#37851C212yesmaximal
18#37841C214yesmaximal, complemented
19#37632C211yesmaximal, characteristic, complemented
20#37623C211yesmaximal, characteristic, complemented
21#37293C212yesmaximal, complemented
22#37291C212yesmaximal, complemented
23C2×#2857C211yesmaximal, characteristic, complemented
24#36621C211yesmaximal, characteristic
25#36480C211yesmaximal, characteristic, complemented
26#36459C211yesmaximal, characteristic, complemented
27#36307C212yesmaximal, complemented
28#36301C211yesmaximal, characteristic, complemented
29#36287C211yesmaximal, characteristic, complemented
30#36265C212yesmaximal, complemented
31#35299C212yesmaximal, complemented
32#35282C212yesmaximal, complemented
33#34384C211yesmaximal, characteristic, complemented
34#34365C211yesmaximal, characteristic, complemented
35#34012C211yesmaximal, characteristic, complemented
36C2×#552C2214yes—
37C22×C4⋊Q8C2211yescharacteristic
38C2×#529C2211yescharacteristic
39C22×C22⋊Q8C2212yes—
40C23×C42C2211yescharacteristic
41#2864C2212yescomplemented
42#2863C2212yescomplemented
43#2860C2212yescomplemented
44#2859C2212yescomplemented
45#2857C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2857C2212yes—
52#2857C2212yes—
53#2857C2212yes—
54#2857C2212yes—
55#2855C2211yescharacteristic
56#2854C2211yescharacteristic
57#2853C2212yes—
58#2852C2212yes—
59#2852C2212yes—
60#2851C2211yescharacteristic
61#2851C2211yescharacteristic
62#2850C2211yescharacteristic
63#2850C2211yescharacteristic
64#2849C2212yes—
65#2848C2211yescharacteristic
66#2847C2211yescharacteristic
67#2843C2214yescomplemented
68#2821C2214yescomplemented
69#2772C2214yescomplemented
70#2766C2214yescomplemented
71#2764C2214yescomplemented
72#2763C2214yescomplemented
73#2762C2214yescomplemented
74#2762C2214yescomplemented
75#2759C2214yescomplemented
76#2758C2214yescomplemented
77#2755C2214yescomplemented
78#2754C2214yescomplemented
79#2748C2214yes—
80#2747C2214yes—
81#2746C2214yes—
82#2745C2214yes—
83#2744C2214yes—
84#2743C2214yes—
85#2742C2214yes—
86#2741C2214yes—
87#2740C2214yes—
88#2739C2214yes—
89#2738C2214yes—
90#2737C2214yes—
91#2719C2214yescomplemented
92#2704C2214yes—
93#2704C2214yes—
94#2702C2214yes—
95#2702C2214yes—
96#2698C2214yescomplemented
97#2692C2214yes—
98#2692C2214yes—
99#2690C2214yes—
100#2690C2214yes—
101#2660C2212yescomplemented
102#2660C2212yescomplemented
103#2660C2212yescomplemented
104#2647C2212yescomplemented
105#2647C2212yescomplemented
106#2640C2212yescomplemented
107#2629C2212yes—
108#2628C2212yes—
109#2628C2212yescomplemented
110#2628C2212yescomplemented
111#2627C2214yes—
112#2625C2212yes—
113#2624C2212yes—
114#2614C2214yes—
115#2612C2214yescomplemented
116#2611C2214yescomplemented
117#2605C2214yescomplemented
118#2604C2214yescomplemented
119#2596C2214yescomplemented
120#2590C2214yescomplemented
121#2589C2214yescomplemented
122#2586C2214yescomplemented
123#2585C2214yescomplemented
124#2578C2214yes—
125#2574C2214yes—
126#2571C2211yescharacteristic, complemented
127#2570C2212yescomplemented
128#2567C2211yescharacteristic, complemented
129#2567C2211yescharacteristic, complemented
130#2563C2212yes—
131#2563C2211yescharacteristic, complemented
132#2563C2211yescharacteristic, complemented
133#2562C2212yes—
134#2561C2214yes—
135#2560C2214yes—
136#2560C2214yes—
137#2556C2214yes—
138#2556C2214yes—
139#2556C2214yescomplemented
140#2552C2211yescharacteristic, complemented
141#2552C2211yescharacteristic, complemented
142#2552C2212yescomplemented
143#2551C2211yescharacteristic, complemented
144#2534C2214yes—
145#2533C2214yescomplemented
146#2533C2214yescomplemented
147#2532C2214yescomplemented
148#2532C2214yescomplemented
149#2531C2214yes—
150#2528C2214yescomplemented
151#2527C2214yescomplemented
152#2522C2214yes—
153#2520C2214yescomplemented
154#2519C2214yescomplemented
155#2514C2212yescomplemented
156#2512C2212yescomplemented
157#2509C2212yescomplemented
158#2509C2212yescomplemented
159#2508C2212yescomplemented
160#2507C2212yescomplemented
161#2506C2212yescomplemented
162#2506C2212yescomplemented
163#2506C2212yescomplemented
164#2506C2212yescomplemented
165#2503C2212yes—
166#2501C2212yes—
167#2498C2214yes—
168#2497C2212yes—
169#2497C2212yes—
170#2497C2212yes—
171#2497C2212yes—
172#2497C2212yescomplemented
173#2496C2212yescomplemented
174#2496C2212yescomplemented
175#2495C2212yes—
176#2495C2212yes—
177#2494C2212yes—
178#2494C2212yes—
179#2494C2212yescomplemented
180#2493C2214yes—
181#2493C2214yes—
182#2492C2212yes—
183#2490C2212yes—
184#2488C2214yes—
185#2487C2212yes—
186#2486C2212yes—
187#2486C2212yes—
188#2485C2212yes—
189#2485C2212yes—
190#2485C2212yes—
191#2484C2214yes—
192#2482C2214yes—
193#2478C2214yescomplemented
194#2477C2214yes—
195#2477C2214yes—
196#2465C2214yes—
197#2465C2214yes—
198#2462C2214yescomplemented
199#2453C2212yescomplemented
200#2452C2212yescomplemented
201#2442C2212yes—
202#2442C2212yes—
203#2441C2212yes—
204#2441C2212yescomplemented
205#2440C2212yes—
206#2440C2212yes—
207#2440C2212yescomplemented
208#2439C2212yes—
209#2438C2214yes—
210#2423C2212yes—
211#2420C2212yes—
212#2419C2214yes—
213#2413C2214yes—
214#2411C2214yes—
215#2383C2214yescomplemented
216#2381C2214yescomplemented
217#2370C2212yescomplemented
218#2369C2211yescharacteristic, complemented
219#2369C2211yescharacteristic, complemented
220#2369C2211yescharacteristic, complemented
221#2369C2211yescharacteristic, complemented
222#2365C2212yescomplemented
223#2361C2212yes—
224#2360C2212yes—
225#2359C2214yes—
226#2355C2211yescharacteristic, complemented
227#2354C2212yes—
228#2354C2211yescharacteristic, complemented
229#2352C2212yes—
230#2352C2212yes—
231Q8×C4⋊C4C2211yescharacteristic, complemented
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2211yescharacteristic, complemented
234#2347C2212yes—
235#2347C2212yescomplemented
236#2346C2212yes—
237#2344C2212yes—
238#2344C2212yes—
239#2344C2212yes—
240#2344C2212yes—
241#2344C2214yes—
242#2344C2212yescomplemented
243#2343C2214yes—
244#2331C2212yescomplemented
245#2331C2212yescomplemented
246#2331C2212yescomplemented
247#2331C2212yescomplemented
248#2330C2212yescomplemented
249#2326C2212yescomplemented
250#2324C2212yes—
251#2323C2212yes—
252#2322C2214yes—
253#2317C2212yescomplemented
254#2314C2212yes—
255#2314C2212yes—
256#2314C2212yescomplemented
257#2310C2214yes—
258C4×C4⋊Q8C2212yescomplemented
259C4×#125C2212yescomplemented
260C4×C22⋊Q8C2211yescharacteristic
261C4×C22⋊Q8C2211yescharacteristic
262C4×#123C2212yes—
263C4×#121C2211yescharacteristic
264C4×#121C2211yescharacteristic
265C4×#120C2212yes—
266#2295C2212yescomplemented
267C2×#391C2212yes—
268#2293C2212yescomplemented
269C2×#389C2212yes—
270C2×#389C2212yes—
271#2290C2212yes—
272#2290C2212yes—
273#2285C2211yescharacteristic
274#2285C2211yescharacteristic
275#2285C2211yescharacteristic
276#2285C2211yescharacteristic
277#2285C2211yescharacteristic
278#2285C2211yescharacteristic
279C2×#384C2211yescharacteristic
280#2283C2211yescharacteristic
281#2283C2211yescharacteristic
282#2283C2211yescharacteristic
283#2283C2212yes—
284#2283C2211yescharacteristic
285#2283C2211yescharacteristic
286#2283C2212yes—
287#2283C2212yes—
288#2283C2212yes—
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291#2280C2212yes—
292#2280C2212yes—
293C2×#380C2212yes—
294C2×#380C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C23×Q8C2312yes—
300C24×C4C2311yescharacteristic
301C24×C4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#552—416no—
304C2×C4⋊Q8—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312#529—28no—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#124C2311yescharacteristic
323C2×#123C2312yes—
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8—48no—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#120C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2314yes—
345C2×C4×Q8C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2312yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2314yes—
358C2×#117C2314yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2314yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2314yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C22⋊C4C2314yes—
373C22×C42—28no—
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386#401C2314yes—
387#401C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2312yes—
486#391C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2311yescharacteristic
497#389C2314yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2314yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2314yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#386C2312yes—
621#386C2312yes—
622#386C2314yes—
623#386C2312yes—
624#386C2314yes—
625#386C2312yes—
626#386C2312yes—
627#386C2312yes—
628#386C2312yes—
629#386C2312yes—
630#386C2312yes—
631#386C2312yes—
632#386C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2312yes—
641#385C2312yes—
642#385C2312yes—
643#385C2312yes—
644#385C2312yes—
645#385C2312yes—
646#385C2312yes—
647#385C2312yes—
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#384C2312yes—
653#384C2312yes—
654#384C2312yes—
655#384C2312yes—
656#384C2311yescharacteristic
657#384C2311yescharacteristic
658#384C2312yes—
659#384C2312yes—
660#384C2312yes—
661#384C2311yescharacteristic
662#384C2312yes—
663#384C2311yescharacteristic
664#384C2311yescharacteristic
665#384C2311yescharacteristic
666#383C2312yes—
667#383C2314yes—
668#383C2312yes—
669#383C2314yes—
670#383C2314yes—
671#383C2312yes—
672#383C2312yes—
673#383C2312yes—
674#382C2312yes—
675#382C2314yes—
676#382C2312yes—
677#382C2312yes—
678#382C2311yescharacteristic
679#382C2312yes—
680#382C2312yes—
681#382C2311yescharacteristic
682#382C2314yes—
683#382C2311yescharacteristic
684#382C2311yescharacteristic
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#381C2314yes—
692#381C2314yes—
693#381C2312yes—
694#381C2312yes—
695#381C2314yes—
696#381C2312yes—
697#381C2314yes—
698#381C2314yes—
699#381C2312yes—
700#381C2312yes—
701#381C2312yes—
702#381C2312yes—
703#381C2312yes—
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#379C2312yes—
746#379C2312yes—
747#379C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2312yes—
815C25C2411yescharacteristic
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C23×C4—24no—
829C23×C4—24no—
830C23×C4—24no—
831C23×C4—24no—
832C23×C4—24no—
833C23×C4—24no—
834C23×C4—42no—
835C23×C4—42no—
836C23×C4—42no—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2414yes—
858C23×C4C2414yes—
859C4⋊Q8—28no—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862C4⋊Q8—28no—
863C4⋊Q8—28no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866#126—28no—
867#126—48no—
868#126—48no—
869#125—24no—
870#125—44no—
871#125—44no—
872#125—48no—
873#125—48no—
874#125—48no—
875#124—24no—
876#123—28no—
877#123—28no—
878#123—48no—
879#123—48no—
880C22⋊Q8—24no—
881C22⋊Q8—24no—
882C22⋊Q8—48no—
883C22⋊Q8—48no—
884C22⋊Q8—44no—
885C22⋊Q8—48no—
886C22⋊Q8—44no—
887C22⋊Q8—48no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—42no—
891#121—24no—
892#121—24no—
893#121—42no—
894#120—44no—
895C4×Q8—24no—
896C4×Q8—48no—
897C4×Q8—44no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—48no—
904#117—28no—
905#117—24no—
906#117—24no—
907#117—28no—
908#117—28no—
909#117—44no—
910#117—48no—
911#117—48no—
912#117—44no—
913#117—48no—
914#117—42no—
915#117—44no—
916#117—42no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—216no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C22⋊C4—48no—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C42—24no—
1039C2×C42—24no—
1040C2×C42—24no—
1041C2×C42—24no—
1042C2×C42—24no—
1043C2×C42—24no—
1044C2×C42—24no—
1045C2×C42—24no—
1046C2×C42—24no—
1047C2×C42—24no—
1048C2×C42—24no—
1049C2×C42#4118yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
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—
1167#95C2414yes—
1168C24—22no—
1169C24—22no—
1170C24—22no—
1171C24—22no—
1172C24—22no—
1173C24—41no—
1174C24—41no—
1175C24C2512yes—
1176C24C2511yescharacteristic
1177C24C2511yescharacteristic
1178C24C2511yescharacteristic
1179C2×Q8—22no—
1180C2×Q8—28no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—44no—
1186C2×Q8—42no—
1187C2×Q8—44no—
1188C2×Q8—42no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—42no—
1192C2×Q8—44no—
1193C2×Q8—42no—
1194C2×Q8—816no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—28no—
1222C22×C4—28no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—28no—
1226C22×C4—28no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—416no—
1263C22×C4—416no—
1264C22×C4—416no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4C2×#4114yes—
1271C22×C4C2×#4114yes—
1272C22×C4C2×#4114yes—
1273C22×C4H(5,𝔽2)14yes—
1274C22×C42−1+414yes—
1275C22×C42−1+414yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2514yes—
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42C2×#4114yes—
1455C42C2×#4114yes—
1456C42C2×#4114yes—
1457C42C2×#4114yes—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—28no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—44no—
1488C23C22×#4112yes—
1489C23C2×H(5,𝔽2)12yes—
1490C23C2×2−1+412yes—
1491C23C2×2−1+412yes—
1492C23#58512yes—
1493C23C2611yescharacteristic
1494Q8—44no—
1495Q8—84no—
1496Q8—88no—
1497Q8—84no—
1498Q8—88no—
1499D4—48no—
1500D4—44no—
1501D4—84no—
1502D4—84no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—28no—
1520C2×C4—28no—
1521C2×C4—28no—
1522C2×C4—28no—
1523C2×C4—28no—
1524C2×C4—28no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
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—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—416no—
1599C2×C4—48no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—88no—
1603C2×C4—88no—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4C2×2−1+412yes—
1615C2×C4C2×2−1+412yes—
1616C2×C4#58512yes—
1617C2×C4#58512yes—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—416no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22#349414yes—
1647C22C23×#4111yescharacteristic
1648C22C22×H(5,𝔽2)11yescharacteristic
1649C22C22×2−1+411yescharacteristic
1650C22C22×2−1+411yescharacteristic
1651C22C2×#58511yescharacteristic
1652C22C2×#58511yescharacteristic
1653C22C2×#58511yescharacteristic
1654C4—22no—
1655C4—22no—
1656C4—22no—
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—22no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—44no—
1666C4—42no—
1667C4—44no—
1668C4—42no—
1669C4—42no—
1670C4—44no—
1671C4—44no—
1672C4—42no—
1673C4—42no—
1674C4—41no—
1675C4—41no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4#349514yes—
1684C4#349514yes—
1685C2—24no—
1686C2—42no—
1687C2—42no—
1688C2—82no—
1689C2#6275211yescharacteristic
1690C2#6275911yescharacteristic
1691C2C2×#349411yescharacteristic
1692C2C2×#349511yescharacteristic
1693C2C2×#349511yescharacteristic
1694C2#6283111yescharacteristic
1695C2#6283311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2847C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59290C2semidirect
2. #59289C2semidirect
3. #59206C2semidirect
4. #59203C2semidirect
5. #46139C2semidirect
6. #45981C2semidirect
7. #39608C2semidirect
8. #39607C2semidirect
9. #39480C2semidirect
10. #39479C2semidirect
11. #37967C2semidirect
12. #37962C2semidirect
13. #37938C2semidirect
14. #37887C2semidirect
15. #37878C2semidirect
16. #37853C2semidirect
18. #37841C2semidirect
19. #37632C2semidirect
20. #37623C2semidirect
21. #37293C2semidirect
22. #37291C2semidirect
23. C2×#2857C2semidirect
25. #36480C2semidirect
26. #36459C2semidirect
27. #36307C2semidirect
28. #36301C2semidirect
29. #36287C2semidirect
30. #36265C2semidirect
31. #35299C2semidirect
32. #35282C2semidirect
33. #34384C2semidirect
34. #34365C2semidirect
35. #34012C2semidirect
41. #2864C22semidirect
42. #2863C22semidirect
43. #2860C22semidirect
44. #2859C22semidirect
67. #2843C22semidirect
68. #2821C22semidirect
69. #2772C22semidirect
70. #2766C22semidirect
71. #2764C22semidirect
72. #2763C22semidirect
73. #2762C22semidirect
74. #2762C22semidirect
75. #2759C22semidirect
76. #2758C22semidirect
77. #2755C22semidirect
78. #2754C22semidirect
91. #2719C22semidirect
96. #2698C22semidirect
101. #2660C22semidirect
102. #2660C22semidirect
103. #2660C22semidirect
104. #2647C22semidirect
105. #2647C22semidirect
106. #2640C22semidirect
109. #2628C22semidirect
110. #2628C22semidirect
115. #2612C22semidirect
116. #2611C22semidirect
117. #2605C22semidirect
118. #2604C22semidirect
119. #2596C22semidirect
120. #2590C22semidirect
121. #2589C22semidirect
122. #2586C22semidirect
123. #2585C22semidirect
126. #2571C22semidirect
127. #2570C22semidirect
128. #2567C22semidirect
129. #2567C22semidirect
131. #2563C22semidirect
132. #2563C22semidirect
139. #2556C22semidirect
140. #2552C22semidirect
141. #2552C22semidirect
142. #2552C22semidirect
143. #2551C22semidirect
145. #2533C22semidirect
146. #2533C22semidirect
147. #2532C22semidirect
148. #2532C22semidirect
150. #2528C22semidirect
151. #2527C22semidirect
153. #2520C22semidirect
154. #2519C22semidirect
155. #2514C22semidirect
156. #2512C22semidirect
157. #2509C22semidirect
158. #2509C22semidirect
159. #2508C22semidirect
160. #2507C22semidirect
161. #2506C22semidirect
162. #2506C22semidirect
163. #2506C22semidirect
164. #2506C22semidirect
172. #2497C22semidirect
173. #2496C22semidirect
174. #2496C22semidirect
179. #2494C22semidirect
193. #2478C22semidirect
198. #2462C22semidirect
199. #2453C22semidirect
200. #2452C22semidirect
204. #2441C22semidirect
207. #2440C22semidirect
215. #2383C22semidirect
216. #2381C22semidirect
217. #2370C22semidirect
218. #2369C22semidirect
219. #2369C22semidirect
220. #2369C22semidirect
221. #2369C22semidirect
222. #2365C22semidirect
226. #2355C22semidirect
228. #2354C22semidirect
231. Q8×C4⋊C4C22semidirect
233. D4×C4⋊C4C22semidirect
235. #2347C22semidirect
242. #2344C22semidirect
244. #2331C22semidirect
245. #2331C22semidirect
246. #2331C22semidirect
247. #2331C22semidirect
248. #2330C22semidirect
249. #2326C22semidirect
253. #2317C22semidirect
256. #2314C22semidirect
258. C4×C4⋊Q8C22semidirect
259. C4×#125C22semidirect
266. #2295C22semidirect
268. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#592902
#592892
#592062
#592032
#461392
#459812
#396082
#396072
#394802
#394792
#379672
#379622
#379382
#378872
#378782
#378532
#378512
#378412
#376322
#376232
#372932
#372912
C2×#28572
#366212
#364802
#364592
#363072
#363012
#362872
#362652
#352992
#352822
#343842
#343652
#340122