Finite Group Databasebeta

← #8197062

Subgroups — #8197062

Order 512.

4951 conjugacy classes of subgroups.

The subgroup lattice has 1805 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59824C212yesmaximal, complemented
2#59640C212yesmaximal, complemented
3#59258C211yesmaximal, characteristic, complemented
4#59257C211yesmaximal, characteristic, complemented
5#59049C211yesmaximal, characteristic, complemented
6#59033C211yesmaximal, characteristic, complemented
7#57537C214yesmaximal, complemented
8#54962C214yesmaximal, complemented
9#53064C212yesmaximal, complemented
10#53059C212yesmaximal, complemented
11#49818C214yesmaximal, complemented
12#47239C214yesmaximal, complemented
13#46343C212yesmaximal, complemented
14#46333C212yesmaximal, complemented
15#45215C212yesmaximal, complemented
16#45092C212yesmaximal, complemented
17#42759C212yesmaximal, complemented
18#42643C212yesmaximal, complemented
19#42629C212yesmaximal, complemented
20#42463C212yesmaximal, complemented
21#40129C212yesmaximal, complemented
22#39727C211yesmaximal, characteristic, complemented
23#39725C211yesmaximal, characteristic, complemented
24#39525C212yesmaximal, complemented
25#39468C211yesmaximal, characteristic, complemented
26#39341C211yesmaximal, characteristic, complemented
27#39240C212yesmaximal, complemented
28#39000C212yesmaximal, complemented
29#36472C211yesmaximal, characteristic, complemented
30#36460C211yesmaximal, characteristic, complemented
31#36450C211yesmaximal, characteristic, complemented
32#36449C211yesmaximal, characteristic, complemented
33#35292C211yesmaximal, characteristic, complemented
34#34979C211yesmaximal, characteristic, complemented
35#34977C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#553C2212yes—
38C2×#552C2212yes—
39C2×#550C2211yescharacteristic
40C2×#537C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2863C2212yes—
46#2863C2212yes—
47#2860C2212yes—
48#2860C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2856C2211yescharacteristic
52#2856C2211yescharacteristic
53#2838C2214yes—
54#2828C2214yes—
55#2828C2214yes—
56#2825C2214yes—
57#2825C2214yes—
58#2818C2214yes—
59#2813C2214yes—
60#2803C2214yes—
61#2803C2214yes—
62#2803C2214yes—
63#2803C2214yes—
64#2797C2214yes—
65#2797C2214yes—
66#2797C2214yes—
67#2797C2214yes—
68#2781C2214yes—
69#2764C2214yes—
70#2759C2214yes—
71#2756C2214yes—
72#2752C2214yes—
73#2751C2214yes—
74#2751C2214yes—
75#2750C2214yes—
76#2749C2214yes—
77#2743C2214yes—
78#2741C2214yes—
79#2737C2214yes—
80#2733C2214yes—
81#2725C2214yes—
82#2723C2214yes—
83#2721C2214yes—
84#2720C2214yes—
85#2716C2214yes—
86#2715C2214yes—
87#2714C2214yes—
88#2714C2214yes—
89#2711C2214yes—
90#2711C2214yes—
91#2703C2214yes—
92#2702C2214yes—
93#2699C2214yes—
94#2695C2214yes—
95#2691C2214yes—
96#2691C2214yes—
97#2689C2214yes—
98#2688C2214yes—
99#2688C2214yes—
100#2676C2214yes—
101#2676C2214yes—
102#2675C2214yes—
103#2673C2214yes—
104#2661C2214yes—
105#2651C2214yes—
106#2649C2214yes—
107#2648C2214yes—
108#2631C2214yes—
109#2624C2214yes—
110#2624C2212yes—
111#2620C2212yes—
112#2619C2212yes—
113#2616C2212yes—
114#2615C2212yes—
115#2615C2212yes—
116#2611C2212yes—
117#2611C2212yes—
118#2610C2212yes—
119#2610C2212yes—
120#2603C2214yes—
121#2592C2212yes—
122#2592C2212yes—
123#2582C2212yes—
124#2580C2212yes—
125#2580C2212yes—
126#2578C2214yes—
127#2577C2214yes—
128#2573C2214yes—
129#2571C2211yescharacteristic
130#2568C2211yescharacteristic
131#2568C2211yescharacteristic
132#2567C2211yescharacteristic
133#2563C2211yescharacteristic
134#2559C2214yes—
135#2559C2214yes—
136#2554C2214yes—
137#2554C2214yes—
138#2552C2211yescharacteristic
139#2548C2212yes—
140#2548C2211yescharacteristic
141#2548C2212yes—
142#2548C2211yescharacteristic
143#2547C2211yescharacteristic
144#2547C2211yescharacteristic
145#2546C2211yescharacteristic
146#2544C2212yes—
147#2544C2212yes—
148#2542C2211yescharacteristic
149#2541C2211yescharacteristic
150#2541C2212yes—
151#2541C2211yescharacteristic
152#2540C2212yes—
153#2540C2212yes—
154#2540C2212yes—
155#2538C2211yescharacteristic
156#2538C2211yescharacteristic
157#2536C2212yes—
158#2535C2212yes—
159#2535C2212yes—
160#2530C2214yes—
161#2528C2214yes—
162#2526C2214yes—
163#2515C2214yes—
164#2514C2212yes—
165#2512C2212yes—
166#2509C2212yes—
167#2506C2212yes—
168#2505C2214yes—
169#2503C2212yes—
170#2500C2212yes—
171#2500C2214yes—
172#2500C2212yes—
173#2499C2212yes—
174#2499C2212yes—
175#2496C2212yes—
176#2495C2212yes—
177#2495C2212yes—
178#2495C2212yes—
179#2494C2212yes—
180#2491C2212yes—
181#2491C2214yes—
182#2490C2214yes—
183#2490C2212yes—
184#2489C2212yes—
185#2488C2214yes—
186#2485C2212yes—
187#2485C2212yes—
188#2485C2212yes—
189#2475C2214yes—
190#2471C2214yes—
191#2467C2214yes—
192#2467C2214yes—
193#2464C2214yes—
194#2459C2214yes—
195#2459C2214yes—
196#2452C2212yes—
197#2451C2212yes—
198#2448C2212yes—
199#2447C2212yes—
200#2444C2214yes—
201#2444C2214yes—
202#2442C2212yes—
203#2439C2212yes—
204#2432C2212yes—
205#2432C2212yes—
206#2431C2212yes—
207#2431C2212yes—
208#2431C2212yes—
209#2429C2212yes—
210#2428C2212yes—
211#2428C2212yes—
212#2428C2212yes—
213#2427C2212yes—
214#2427C2212yes—
215#2427C2212yes—
216#2426C2212yes—
217#2426C2212yes—
218#2422C2212yes—
219#2422C2212yes—
220#2421C2212yes—
221#2421C2212yes—
222#2420C2212yes—
223#2420C2214yes—
224#2420C2212yes—
225#2420C2212yes—
226#2417C2212yes—
227#2416C2212yes—
228#2415C2211yescharacteristic
229#2415C2212yes—
230#2415C2211yescharacteristic
231#2415C2212yes—
232#2415C2211yescharacteristic
233#2415C2211yescharacteristic
234#2414C2211yescharacteristic
235#2414C2212yes—
236#2414C2211yescharacteristic
237#2414C2211yescharacteristic
238#2414C2212yes—
239#2414C2211yescharacteristic
240#2414C2212yes—
241#2414C2212yes—
242#2407C2212yes—
243#2407C2212yes—
244#2407C2212yes—
245#2407C2212yes—
246#2407C2212yes—
247#2395C2212yes—
248#2395C2212yes—
249#2388C2212yes—
250#2388C2212yes—
251#2383C2214yes—
252#2366C2211yescharacteristic
253#2365C2211yescharacteristic
254#2363C2212yes—
255#2363C2212yes—
256#2363C2214yes—
257#2362C2212yes—
258#2361C2212yes—
259#2357C2212yes—
260#2357C2212yes—
261#2355C2211yescharacteristic
262#2355C2212yes—
263#2354C2212yes—
264#2352C2212yes—
265#2352C2212yes—
266Q8×C4⋊C4C2211yescharacteristic
267D4×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2211yescharacteristic
269#2345C2212yes—
270#2341C2212yes—
271#2339C2212yes—
272#2339C2212yes—
273#2337C2214yes—
274#2324C2212yes—
275#2324C2212yes—
276#2324C2212yes—
277#2323C2212yes—
278#2318C2214yes—
279#2311C2212yes—
280C4×C4⋊Q8C2212yes—
281C4×#127C2212yes—
282C4×#127C2212yes—
283C4×#125C2212yes—
284C4×#124C2212yes—
285C4×#124C2212yes—
286C4×#124C2212yes—
287C4×#124C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×C22⋊Q8C2211yescharacteristic
292C4×#121C2211yescharacteristic
293C4×#121C2211yescharacteristic
294C4×#121C2211yescharacteristic
295C4×#121C2211yescharacteristic
296#2285C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303#556—44no—
304#553—48no—
305#552—48no—
306#550—44no—
307#537—48no—
308#533—44no—
309#532—44no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2311yescharacteristic
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C4×#41—44no—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2312yes—
412C2×#117C2314yes—
413C2×#117C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2311yescharacteristic
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422#401C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2312yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2312yes—
437#399C2312yes—
438#399C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#395C2312yes—
477#395C2312yes—
478#395C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#393C2312yes—
516#393C2312yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2312yes—
528#392C2312yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2312yes—
534#392C2312yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2312yes—
540#392C2312yes—
541#392C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2314yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2311yescharacteristic
549#391C2312yes—
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2312yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2314yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2311yescharacteristic
590#390C2312yes—
591#390C2311yescharacteristic
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2311yescharacteristic
597#390C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2312yes—
610#389C2314yes—
611#389C2312yes—
612#389C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2312yes—
623#389C2314yes—
624#389C2312yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2314yes—
689#387C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2314yes—
729#385C2314yes—
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#384C2311yescharacteristic
734#384C2312yes—
735#384C2311yescharacteristic
736#383C2314yes—
737#383C2314yes—
738#383C2314yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#382C2312yes—
744#382C2312yes—
745#382C2312yes—
746#382C2314yes—
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#381C2314yes—
751#381C2314yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2314yes—
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2312yes—
775#380C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814#376C2312yes—
815#376C2312yes—
816C2×#95C2314yes—
817C43C2312yes—
818C43C2312yes—
819C2×#41—42no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2411yescharacteristic
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C4⋊Q8—24no—
877C4⋊Q8—42no—
878C4⋊Q8—42no—
879C4⋊Q8—42no—
880C4⋊Q8—44no—
881#127—24no—
882#127—44no—
883#127—44no—
884#127—42no—
885#127—44no—
886#126—48no—
887#126—48no—
888#126—48no—
889#126—48no—
890#125—28no—
891#125—44no—
892#125—48no—
893#124—44no—
894#124—44no—
895#124—44no—
896#124—44no—
897#124—44no—
898#124—44no—
899#124—44no—
900#124—48no—
901#123—48no—
902#123—48no—
903C22⋊Q8—24no—
904C22⋊Q8—24no—
905C22⋊Q8—48no—
906C22⋊Q8—44no—
907C22⋊Q8—42no—
908C22⋊Q8—42no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—42no—
912C22⋊Q8—42no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916#121—28no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—48no—
921#121—48no—
922#121—48no—
923#121—48no—
924#121—48no—
925#121—44no—
926#121—42no—
927#121—42no—
928#121—42no—
929#121—42no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—42no—
934#121—42no—
935#121—44no—
936#121—44no—
937#121—48no—
938#121—44no—
939#121—44no—
940C4×Q8—24no—
941C4×Q8—24no—
942C4×Q8—42no—
943C4×Q8—42no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×Q8—44no—
948C4×D4—24no—
949C4×D4—24no—
950C4×D4—48no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—48no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—42no—
962C4×D4—42no—
963C4×D4—42no—
964C4×D4—42no—
965C4×D4—42no—
966C4×D4—42no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970#117—24no—
971#117—42no—
972#117—42no—
973#117—42no—
974#117—44no—
975#117—42no—
976#117—42no—
977#117—42no—
978#117—44no—
979#117—48no—
980#117—44no—
981C2×C4⋊C4—28no—
982C2×C4⋊C4—44no—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C42—24no—
1115C2×C42—24no—
1116C2×C42—24no—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2412yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204C24C2511yescharacteristic
1205C24C2511yescharacteristic
1206C24C2511yescharacteristic
1207C24C2512yes—
1208C24C2514yes—
1209C24C2512yes—
1210#41—416no—
1211#41—816no—
1212#41—816no—
1213#41—816no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—22no—
1221C2×Q8—24no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—24no—
1226C2×Q8—41no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—28no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—28no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4C2511yescharacteristic
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2514yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2514yes—
1364C22×C4C2514yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C4⋊C4—24no—
1379C4⋊C4—28no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—28no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—28no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—44no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4H(5,𝔽2)14yes—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—28no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—24no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—24no—
1519C42—24no—
1520C42—24no—
1521C42—24no—
1522C42—24no—
1523C42—24no—
1524C42—24no—
1525C42—24no—
1526C42—24no—
1527C42—42no—
1528C42—42no—
1529C42—42no—
1530C42—44no—
1531C42—44no—
1532C42—44no—
1533C42—44no—
1534C42—42no—
1535C42—44no—
1536C42—42no—
1537C42H(5,𝔽2)14yes—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—22no—
1542C23—24no—
1543C23—22no—
1544C23—21no—
1545C23—22no—
1546C23—22no—
1547C23—24no—
1548C23—21no—
1549C23—21no—
1550C23—22no—
1551C23—24no—
1552C23—22no—
1553C23—24no—
1554C23—21no—
1555C23—22no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—22no—
1562C23—22no—
1563C23—24no—
1564C23—21no—
1565C23—21no—
1566C23—24no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—24no—
1571C23—22no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—22no—
1578C23—21no—
1579C23—21no—
1580C23C2611yescharacteristic
1581Q8—44no—
1582Q8—44no—
1583Q8—44no—
1584Q8—48no—
1585Q8—84no—
1586Q8—84no—
1587D4—44no—
1588D4—44no—
1589D4—44no—
1590D4—48no—
1591D4—44no—
1592D4—44no—
1593D4—48no—
1594D4—88no—
1595D4—84no—
1596D4—84no—
1597D4—84no—
1598D4—84no—
1599D4—88no—
1600D4—84no—
1601D4—84no—
1602D4—88no—
1603D4—84no—
1604D4—84no—
1605D4—84no—
1606D4—88no—
1607D4—164no—
1608D4—164no—
1609D4—164no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—44no—
1691C2×C4—44no—
1692C2×C4—48no—
1693C2×C4—48no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—88no—
1699C2×C4—88no—
1700C2×C4—88no—
1701C2×C4—164no—
1702C2×C4—164no—
1703C2×C4C2×H(5,𝔽2)12yes—
1704C2×C4C2×H(5,𝔽2)14yes—
1705C2×C4C2×H(5,𝔽2)12yes—
1706C2×C4C2×H(5,𝔽2)12yes—
1707C2×C4C2×H(5,𝔽2)12yes—
1708C2×C4#58512yes—
1709C2×C4#58512yes—
1710C2×C4#58512yes—
1711C2×C4#58512yes—
1712C2×C4#58512yes—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—44no—
1717C22—42no—
1718C22—42no—
1719C22—41no—
1720C22—42no—
1721C22—42no—
1722C22—41no—
1723C22—41no—
1724C22—44no—
1725C22—42no—
1726C22—42no—
1727C22—41no—
1728C22—41no—
1729C22—44no—
1730C22—41no—
1731C22—42no—
1732C22—41no—
1733C22—41no—
1734C22—44no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—44no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—42no—
1744C22—44no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—42no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—42no—
1753C22—44no—
1754C22—42no—
1755C22C22×H(5,𝔽2)11yescharacteristic
1756C22C22×H(5,𝔽2)11yescharacteristic
1757C22C2×#58511yescharacteristic
1758C22C2×#58511yescharacteristic
1759C22C2×#58511yescharacteristic
1760C22C2×#58511yescharacteristic
1761C22C2×#58511yescharacteristic
1762C4—24no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—44no—
1770C4—41no—
1771C4—41no—
1772C4—42no—
1773C4—41no—
1774C4—42no—
1775C4—42no—
1776C4—42no—
1777C4—44no—
1778C4—42no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C4—44no—
1786C4—41no—
1787C4—42no—
1788C4—42no—
1789C4#354614yes—
1790C4#355114yes—
1791C2—81no—
1792C2—81no—
1793C2—81no—
1794C2—84no—
1795C2—82no—
1796C2—82no—
1797C2C2×#355111yescharacteristic
1798C2C2×#354611yescharacteristic
1799C2#6282111yescharacteristic
1800C2#6302111yescharacteristic
1801C2#6303111yescharacteristic
1802C2#6303111yescharacteristic
1803C2#6303511yescharacteristic
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. #59824C2semidirect
2. #59640C2semidirect
3. #59258C2semidirect
4. #59257C2semidirect
5. #59049C2semidirect
6. #59033C2semidirect
7. #57537C2semidirect
8. #54962C2semidirect
9. #53064C2semidirect
10. #53059C2semidirect
11. #49818C2semidirect
12. #47239C2semidirect
13. #46343C2semidirect
14. #46333C2semidirect
15. #45215C2semidirect
16. #45092C2semidirect
17. #42759C2semidirect
18. #42643C2semidirect
19. #42629C2semidirect
20. #42463C2semidirect
21. #40129C2semidirect
22. #39727C2semidirect
23. #39725C2semidirect
24. #39525C2semidirect
25. #39468C2semidirect
26. #39341C2semidirect
27. #39240C2semidirect
28. #39000C2semidirect
29. #36472C2semidirect
30. #36460C2semidirect
31. #36450C2semidirect
32. #36449C2semidirect
33. #35292C2semidirect
34. #34979C2semidirect
35. #34977C2semidirect

Maximal subgroups

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

subgroupindex
#598242
#596402
#592582
#592572
#590492
#590332
#575372
#549622
#530642
#530592
#498182
#472392
#463432
#463332
#452152
#450922
#427592
#426432
#426292
#424632
#401292
#397272
#397252
#395252
#394682
#393412
#392402
#390002
#364722
#364602
#364502
#364492
#352922
#349792
#349772