Finite Group Databasebeta

← #8463242

Subgroups — #8463242

Order 512.

5186 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59654C211yesmaximal, characteristic, complemented
2#59314C211yesmaximal, characteristic, complemented
3#59229C211yesmaximal, characteristic, complemented
4#58002C214yesmaximal, complemented
5#56578C214yesmaximal, complemented
6#54784C214yesmaximal, complemented
7#53122C212yesmaximal, complemented
8#53098C212yesmaximal, complemented
9#51160C214yesmaximal, complemented
10#45670C212yesmaximal, complemented
11#45631C212yesmaximal, complemented
12#45417C212yesmaximal, complemented
13#44885C212yesmaximal, complemented
14#42810C212yesmaximal, complemented
15#42646C212yesmaximal, complemented
16#42570C212yesmaximal, complemented
17#42463C212yesmaximal, complemented
18#40144C212yesmaximal, complemented
19#39743C212yesmaximal, complemented
20#39471C211yesmaximal, characteristic, complemented
21#39436C212yesmaximal, complemented
22#39378C211yesmaximal, characteristic, complemented
23#38978C211yesmaximal, characteristic, complemented
24#38908C211yesmaximal, characteristic, complemented
25#38111C212yesmaximal, complemented
26#37631C211yesmaximal, characteristic, complemented
27#37346C212yesmaximal, complemented
28#37310C212yesmaximal, complemented
29#36444C211yesmaximal, characteristic, complemented
30#36274C211yesmaximal, characteristic, complemented
31#36189C211yesmaximal, characteristic, complemented
32#35273C211yesmaximal, characteristic, complemented
33#35189C211yesmaximal, characteristic, complemented
34#34727C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#554C2212yes—
38C2×D4×Q8C2211yescharacteristic
39C2×#548C2212yes—
40C2×#548C2212yes—
41C2×#547C2211yescharacteristic
42C2×#540C2212yes—
43C2×#537C2212yes—
44C2×#532C2211yescharacteristic
45C2×#529C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48#2859C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2212yes—
51#2857C2211yescharacteristic
52#2857C2212yes—
53#2856C2212yes—
54#2855C2212yes—
55#2851C2212yes—
56#2850C2212yes—
57#2838C2214yes—
58#2837C2214yes—
59#2836C2214yes—
60#2836C2214yes—
61#2827C2214yes—
62#2825C2214yes—
63#2820C2214yes—
64#2813C2214yes—
65#2806C2214yes—
66#2799C2214yes—
67#2798C2214yes—
68#2797C2214yes—
69#2786C2214yes—
70#2784C2214yes—
71#2780C2214yes—
72#2780C2214yes—
73#2777C2214yes—
74#2772C2214yes—
75#2759C2214yes—
76#2755C2214yes—
77#2751C2214yes—
78#2747C2214yes—
79#2746C2214yes—
80#2743C2214yes—
81#2740C2214yes—
82#2733C2214yes—
83#2732C2214yes—
84#2730C2214yes—
85#2730C2214yes—
86#2720C2214yes—
87#2710C2214yes—
88#2708C2214yes—
89#2704C2214yes—
90#2703C2214yes—
91#2703C2214yes—
92#2701C2214yes—
93#2701C2214yes—
94#2700C2214yes—
95#2700C2214yes—
96#2696C2214yes—
97#2695C2214yes—
98#2693C2214yes—
99#2692C2214yes—
100#2692C2214yes—
101#2692C2214yes—
102#2688C2214yes—
103#2688C2214yes—
104#2688C2214yes—
105#2687C2214yes—
106#2686C2214yes—
107#2686C2214yes—
108#2681C2214yes—
109#2676C2214yes—
110#2676C2214yes—
111#2676C2214yes—
112#2672C2214yes—
113#2672C2214yes—
114#2656C2214yes—
115#2650C2214yes—
116#2648C2214yes—
117#2645C2212yes—
118#2644C2212yes—
119#2640C2212yes—
120#2633C2214yes—
121#2631C2214yes—
122#2630C2214yes—
123#2629C2212yes—
124#2628C2212yes—
125#2625C2212yes—
126#2625C2212yes—
127#2624C2214yes—
128#2620C2214yes—
129#2615C2212yes—
130#2601C2214yes—
131#2582C2211yescharacteristic
132#2570C2212yes—
133#2568C2211yescharacteristic
134#2551C2211yescharacteristic
135#2547C2211yescharacteristic
136#2547C2212yes—
137#2547C2212yes—
138#2543C2214yes—
139#2543C2214yes—
140#2542C2212yes—
141#2540C2212yes—
142#2538C2211yescharacteristic
143#2538C2211yescharacteristic
144#2538C2212yes—
145#2538C2211yescharacteristic
146#2537C2211yescharacteristic
147#2537C2211yescharacteristic
148#2537C2212yes—
149#2537C2211yescharacteristic
150#2537C2212yes—
151#2536C2212yes—
152#2535C2214yes—
153#2535C2212yes—
154#2511C2212yes—
155#2509C2212yes—
156#2507C2212yes—
157#2506C2212yes—
158#2499C2212yes—
159#2498C2214yes—
160#2497C2212yes—
161#2495C2212yes—
162#2494C2212yes—
163#2493C2214yes—
164#2492C2212yes—
165#2492C2212yes—
166#2491C2212yes—
167#2491C2212yes—
168#2489C2212yes—
169#2488C2214yes—
170#2487C2212yes—
171#2487C2212yes—
172#2487C2212yes—
173#2486C2212yes—
174#2486C2212yes—
175#2485C2212yes—
176#2485C2212yes—
177#2479C2212yes—
178#2476C2214yes—
179#2476C2212yes—
180#2474C2214yes—
181#2474C2212yes—
182#2471C2212yes—
183#2467C2212yes—
184#2464C2214yes—
185#2461C2214yes—
186#2460C2214yes—
187#2459C2212yes—
188#2459C2214yes—
189#2456C2212yes—
190#2456C2212yes—
191#2454C2211yescharacteristic
192#2451C2212yes—
193#2451C2212yes—
194#2451C2211yescharacteristic
195#2450C2214yes—
196#2449C2214yes—
197#2448C2212yes—
198#2448C2212yes—
199#2448C2211yescharacteristic
200#2445C2211yescharacteristic
201#2442C2212yes—
202#2442C2212yes—
203#2441C2212yes—
204#2441C2212yes—
205#2441C2211yescharacteristic
206#2440C2212yes—
207#2440C2212yes—
208#2440C2212yes—
209#2439C2211yescharacteristic
210#2439C2212yes—
211#2439C2212yes—
212#2438C2214yes—
213#2438C2214yes—
214#2431C2211yescharacteristic
215#2431C2212yes—
216#2431C2211yescharacteristic
217#2428C2212yes—
218#2428C2211yescharacteristic
219#2427C2214yes—
220#2427C2212yes—
221#2427C2212yes—
222#2427C2214yes—
223#2426C2211yescharacteristic
224#2423C2212yes—
225#2423C2212yes—
226#2423C2211yescharacteristic
227#2420C2212yes—
228#2420C2211yescharacteristic
229#2420C2212yes—
230#2420C2212yes—
231#2417C2212yes—
232#2417C2212yes—
233#2417C2212yes—
234#2417C2212yes—
235#2416C2214yes—
236#2416C2212yes—
237#2416C2212yes—
238#2416C2212yes—
239#2416C2212yes—
240#2416C2212yes—
241#2415C2212yes—
242#2415C2212yes—
243#2415C2214yes—
244#2414C2212yes—
245#2414C2211yescharacteristic
246#2414C2212yes—
247#2414C2211yescharacteristic
248#2409C2212yes—
249#2409C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2211yescharacteristic
253#2407C2212yes—
254#2407C2212yes—
255#2407C2211yescharacteristic
256#2397C2212yes—
257#2392C2212yes—
258#2392C2212yes—
259#2388C2212yes—
260#2378C2214yes—
261#2361C2212yes—
262#2361C2212yes—
263#2360C2212yes—
264#2354C2211yescharacteristic
265#2352C2212yes—
266Q8×C4⋊C4C2211yescharacteristic
267#2349C2212yes—
268D4×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2211yescharacteristic
270#2345C2212yes—
271#2344C2212yes—
272Q8×C22⋊C4C2212yes—
273#2339C2212yes—
274#2325C2214yes—
275#2324C2212yes—
276#2323C2212yes—
277#2320C2212yes—
278#2311C2212yes—
279#2311C2212yes—
280#2311C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×#123C2212yes—
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291#2297C2212yes—
292#2295C2211yescharacteristic
293C2×#391C2212yes—
294#2293C2211yescharacteristic
295#2290C2212yes—
296#2285C2211yescharacteristic
297C2×#384C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×Q8C2312yes—
304#555—48no—
305#554—48no—
306D4×Q8—44no—
307#548—48no—
308#548—48no—
309#547—44no—
310#540—48no—
311#537—48no—
312#532—44no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320#529—44no—
321C2×#126C2312yes—
322C2×#125C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C4×#41—44no—
379C4×#41—44no—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2314yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2311yescharacteristic
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2312yes—
430C22×C42C2312yes—
431#401C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#399C2312yes—
444#399C2314yes—
445#399C2314yes—
446#399C2312yes—
447#399C2314yes—
448#399C2314yes—
449#399C2312yes—
450#399C2312yes—
451#399C2314yes—
452#399C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2312yes—
465#398C2314yes—
466#398C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2312yes—
500#396C2312yes—
501#396C2312yes—
502#395C2314yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2312yes—
507#395C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2312yes—
529#394C2312yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2312yes—
540#393C2314yes—
541#392C2312yes—
542#392C2312yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2312yes—
549#392C2312yes—
550#392C2312yes—
551#392C2312yes—
552#392C2312yes—
553#392C2312yes—
554#392C2312yes—
555#392C2314yes—
556#392C2314yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2314yes—
561#391C2314yes—
562#391C2312yes—
563#391C2312yes—
564#391C2311yescharacteristic
565#391C2312yes—
566#391C2312yes—
567#391C2314yes—
568#391C2312yes—
569#391C2314yes—
570#391C2312yes—
571#391C2311yescharacteristic
572#391C2314yes—
573#391C2314yes—
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#391C2312yes—
577#391C2314yes—
578#391C2314yes—
579#391C2312yes—
580#390C2311yescharacteristic
581#390C2311yescharacteristic
582#390C2312yes—
583#390C2312yes—
584#390C2311yescharacteristic
585#390C2314yes—
586#390C2312yes—
587#390C2314yes—
588#390C2312yes—
589#390C2314yes—
590#390C2312yes—
591#390C2314yes—
592#390C2312yes—
593#390C2314yes—
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2311yescharacteristic
597#390C2312yes—
598#390C2312yes—
599#390C2311yescharacteristic
600#390C2311yescharacteristic
601#390C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2314yes—
629#389C2312yes—
630#389C2314yes—
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2314yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2314yes—
682#387C2312yes—
683#387C2314yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#386C2314yes—
689#386C2314yes—
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#386C2314yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2312yes—
735#385C2314yes—
736#385C2312yes—
737#385C2312yes—
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#384C2312yes—
741#384C2311yescharacteristic
742#384C2312yes—
743#384C2311yescharacteristic
744#384C2312yes—
745#384C2312yes—
746#383C2314yes—
747#382C2314yes—
748#382C2312yes—
749#382C2312yes—
750#382C2312yes—
751#382C2311yescharacteristic
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#381C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2314yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#380C2314yes—
778#380C2312yes—
779#380C2314yes—
780#380C2312yes—
781#380C2314yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2312yes—
787#380C2311yescharacteristic
788#380C2311yescharacteristic
789#380C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818#376C2312yes—
819C2×#95C2314yes—
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—28no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—42no—
829C2×#41—42no—
830C2×#41—42no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C22×Q8—28no—
835C22×Q8—44no—
836C22×Q8—44no—
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×Q8C2411yescharacteristic
840C22×Q8C2414yes—
841C22×Q8C2412yes—
842C22×Q8C2414yes—
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2414yes—
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2411yescharacteristic
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C4⋊Q8—24no—
884C4⋊Q8—42no—
885C4⋊Q8—44no—
886C4⋊Q8—44no—
887C4⋊Q8—44no—
888#127—24no—
889#127—42no—
890#126—44no—
891#125—42no—
892#125—44no—
893#125—48no—
894#124—24no—
895#124—44no—
896#124—42no—
897#124—48no—
898#124—44no—
899#124—48no—
900#124—48no—
901#124—48no—
902#123—48no—
903#123—48no—
904#123—44no—
905#123—48no—
906#123—44no—
907C22⋊Q8—28no—
908C22⋊Q8—24no—
909C22⋊Q8—48no—
910C22⋊Q8—48no—
911C22⋊Q8—48no—
912C22⋊Q8—48no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—44no—
916C22⋊Q8—42no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921C22⋊Q8—48no—
922C22⋊Q8—44no—
923#121—28no—
924#121—28no—
925#121—24no—
926#121—24no—
927#121—44no—
928#121—44no—
929#121—48no—
930#121—48no—
931#121—48no—
932#121—48no—
933#121—42no—
934#121—44no—
935#121—48no—
936#121—42no—
937#121—42no—
938#121—42no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—48no—
947C4×Q8—28no—
948C4×Q8—24no—
949C4×Q8—24no—
950C4×Q8—42no—
951C4×Q8—42no—
952C4×Q8—44no—
953C4×D4—28no—
954C4×D4—24no—
955C4×D4—24no—
956C4×D4—24no—
957C4×D4—24no—
958C4×D4—24no—
959C4×D4—48no—
960C4×D4—42no—
961C4×D4—42no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—42no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—48no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—42no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—48no—
979#117—44no—
980#117—44no—
981#117—44no—
982#117—44no—
983#117—48no—
984#117—42no—
985#117—42no—
986#117—44no—
987#117—44no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—44no—
990C2×C4⋊C4—44no—
991C2×C4⋊C4—44no—
992C2×C4⋊C4—44no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C42—24no—
1127C2×C42—24no—
1128C2×C42—44no—
1129C2×C42—44no—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2414yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2414yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215C24C2512yes—
1216C24C2512yes—
1217C24C2512yes—
1218C24C2511yescharacteristic
1219C24C2512yes—
1220C24C2511yescharacteristic
1221#41—416no—
1222#41—416no—
1223#41—816no—
1224#41—816no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—22no—
1229C2×Q8—24no—
1230C2×Q8—28no—
1231C2×Q8—22no—
1232C2×Q8—24no—
1233C2×Q8—22no—
1234C2×Q8—24no—
1235C2×Q8—42no—
1236C2×Q8—44no—
1237C2×Q8—42no—
1238C2×Q8—44no—
1239C2×Q8—44no—
1240C2×Q8—44no—
1241C2×Q8—44no—
1242C2×Q8—816no—
1243C2×Q8H(5,𝔽2)14yes—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—28no—
1249C2×D4—28no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4H(5,𝔽2)14yes—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—28no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—28no—
1338C22×C4—24no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—41no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—41no—
1350C22×C4—42no—
1351C22×C4—41no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C42−1+414yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2514yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2514yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2514yes—
1383C22×C4C2514yes—
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—28no—
1410C4⋊C4—28no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—28no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—41no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—42no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C22⋊C4—24no—
1457C22⋊C4—28no—
1458C22⋊C4—28no—
1459C22⋊C4—28no—
1460C22⋊C4—22no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—28no—
1468C22⋊C4—24no—
1469C22⋊C4—22no—
1470C22⋊C4—24no—
1471C22⋊C4—22no—
1472C22⋊C4—24no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—41no—
1491C22⋊C4—41no—
1492C22⋊C4—41no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—24no—
1532C42—24no—
1533C42—22no—
1534C42—24no—
1535C42—28no—
1536C42—24no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—42no—
1541C42—42no—
1542C42—42no—
1543C42—42no—
1544C42—41no—
1545C42—44no—
1546C42—44no—
1547C42—41no—
1548C42—44no—
1549C42H(5,𝔽2)14yes—
1550C23—21no—
1551C23—22no—
1552C23—21no—
1553C23—22no—
1554C23—21no—
1555C23—22no—
1556C23—21no—
1557C23—21no—
1558C23—22no—
1559C23—22no—
1560C23—21no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—21no—
1568C23—21no—
1569C23—22no—
1570C23—22no—
1571C23—21no—
1572C23—22no—
1573C23—22no—
1574C23—21no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—21no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—21no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—21no—
1589C23—22no—
1590C23C2×H(5,𝔽2)14yes—
1591C23C2×2−1+412yes—
1592C23C2611yescharacteristic
1593Q8—28no—
1594Q8—44no—
1595Q8—48no—
1596Q8—88no—
1597Q8—84no—
1598Q8—164no—
1599D4—28no—
1600D4—48no—
1601D4—48no—
1602D4—44no—
1603D4—48no—
1604D4—44no—
1605D4—44no—
1606D4—44no—
1607D4—84no—
1608D4—84no—
1609D4—88no—
1610D4—88no—
1611D4—84no—
1612D4—84no—
1613D4—84no—
1614D4—84no—
1615D4—84no—
1616D4—84no—
1617D4—84no—
1618D4—88no—
1619D4—164no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—28no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—24no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—44no—
1699C2×C4—48no—
1700C2×C4—48no—
1701C2×C4—44no—
1702C2×C4—48no—
1703C2×C4—48no—
1704C2×C4—44no—
1705C2×C4—48no—
1706C2×C4—44no—
1707C2×C4—48no—
1708C2×C4—84no—
1709C2×C4—82no—
1710C2×C4—88no—
1711C2×C4—88no—
1712C2×C4—84no—
1713C2×C4—88no—
1714C2×C4—164no—
1715C2×C4—164no—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4C2×H(5,𝔽2)14yes—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C2×C4C2×2−1+412yes—
1723C2×C4C2×2−1+412yes—
1724C2×C4#58512yes—
1725C2×C4#58512yes—
1726C22—22no—
1727C22—24no—
1728C22—24no—
1729C22—22no—
1730C22—22no—
1731C22—24no—
1732C22—41no—
1733C22—42no—
1734C22—42no—
1735C22—41no—
1736C22—41no—
1737C22—42no—
1738C22—42no—
1739C22—41no—
1740C22—42no—
1741C22—42no—
1742C22—41no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—41no—
1747C22—42no—
1748C22—41no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—41no—
1755C22—42no—
1756C22—41no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—41no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—41no—
1766C22—42no—
1767C22—42no—
1768C22C22×H(5,𝔽2)11yescharacteristic
1769C22C22×H(5,𝔽2)11yescharacteristic
1770C22C22×H(5,𝔽2)11yescharacteristic
1771C22C22×2−1+411yescharacteristic
1772C22C2×#58511yescharacteristic
1773C22C2×#58511yescharacteristic
1774C222−1+611yescharacteristic
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—24no—
1779C4—41no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—44no—
1784C4—42no—
1785C4—44no—
1786C4—41no—
1787C4—42no—
1788C4—41no—
1789C4—41no—
1790C4—42no—
1791C4—42no—
1792C4—44no—
1793C4—41no—
1794C4—42no—
1795C4—41no—
1796C4—42no—
1797C4—41no—
1798C4—41no—
1799C4—42no—
1800C4—42no—
1801C4—44no—
1802C4#353614yes—
1803C4#354214yes—
1804C2—42no—
1805C2—44no—
1806C2—82no—
1807C2—82no—
1808C2—81no—
1809C2—82no—
1810C2C2×#354211yescharacteristic
1811C2C2×#353611yescharacteristic
1812C2#6283811yescharacteristic
1813C2#6291311yescharacteristic
1814C2#6292111yescharacteristic
1815C2#6292711yescharacteristic
1816C2#6301411yescharacteristic
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. #59654C2semidirect
2. #59314C2semidirect
3. #59229C2semidirect
4. #58002C2semidirect
5. #56578C2semidirect
6. #54784C2semidirect
7. #53122C2semidirect
8. #53098C2semidirect
9. #51160C2semidirect
10. #45670C2semidirect
11. #45631C2semidirect
12. #45417C2semidirect
13. #44885C2semidirect
14. #42810C2semidirect
15. #42646C2semidirect
16. #42570C2semidirect
17. #42463C2semidirect
18. #40144C2semidirect
19. #39743C2semidirect
20. #39471C2semidirect
21. #39436C2semidirect
22. #39378C2semidirect
23. #38978C2semidirect
24. #38908C2semidirect
25. #38111C2semidirect
26. #37631C2semidirect
27. #37346C2semidirect
28. #37310C2semidirect
29. #36444C2semidirect
30. #36274C2semidirect
31. #36189C2semidirect
32. #35273C2semidirect
33. #35189C2semidirect
34. #34727C2semidirect
35. #34715C2semidirect

Maximal subgroups

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

subgroupindex
#596542
#593142
#592292
#580022
#565782
#547842
#531222
#530982
#511602
#456702
#456312
#454172
#448852
#428102
#426462
#425702
#424632
#401442
#397432
#394712
#394362
#393782
#389782
#389082
#381112
#376312
#373462
#373102
#364442
#362742
#361892
#352732
#351892
#347272
#347152