Finite Group Databasebeta

← #7987503

Subgroups — #7987503

Order 512.

4844 conjugacy classes of subgroups.

The subgroup lattice has 1721 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59933C212yesmaximal, complemented
2#59827C211yesmaximal, characteristic, complemented
3#59304C211yesmaximal, characteristic, complemented
4#59236C212yesmaximal, complemented
5#59217C211yesmaximal, characteristic, complemented
6#51156C214yesmaximal, complemented
7#50972C214yesmaximal, complemented
8#46172C214yesmaximal, complemented
9#45319C212yesmaximal, complemented
10#45136C212yesmaximal, complemented
11#44981C212yesmaximal, complemented
12#44974C212yesmaximal, complemented
13#42711C212yesmaximal, complemented
14#42671C212yesmaximal, complemented
15#42557C212yesmaximal, complemented
16#42508C212yesmaximal, complemented
17#39191C211yesmaximal, characteristic, complemented
18#39180C211yesmaximal, characteristic, complemented
19#39146C211yesmaximal, characteristic, complemented
20#39124C211yesmaximal, characteristic, complemented
21#38548C214yesmaximal, complemented
22#38255C212yesmaximal, complemented
23#37939C212yesmaximal, complemented
24#36551C212yesmaximal, complemented
25#36471C212yesmaximal, complemented
26#36444C211yesmaximal, characteristic, complemented
27#36315C211yesmaximal, characteristic, complemented
28#36189C211yesmaximal, characteristic, complemented
29#35229C212yesmaximal, complemented
30#35203C212yesmaximal, complemented
31#34800C211yesmaximal, characteristic, complemented
32#34727C211yesmaximal, characteristic, complemented
33#34487C211yesmaximal, characteristic, complemented
34#34384C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#553C2212yes—
38C2×D4×Q8C2211yescharacteristic
39C2×#548C2212yes—
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2861C2212yes—
43#2859C2211yescharacteristic
44#2857C2212yes—
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2854C2214yes—
48#2853C2214yes—
49#2851C2214yes—
50#2837C2214yes—
51#2837C2214yes—
52#2801C2214yes—
53#2799C2214yes—
54#2798C2214yes—
55#2798C2214yes—
56#2797C2214yes—
57#2781C2214yes—
58#2775C2214yes—
59#2773C2214yes—
60#2770C2214yes—
61#2766C2214yes—
62#2756C2214yes—
63#2755C2214yes—
64#2753C2214yes—
65#2748C2214yes—
66#2746C2214yes—
67#2746C2214yes—
68#2743C2214yes—
69#2738C2214yes—
70#2726C2214yes—
71#2724C2214yes—
72#2723C2214yes—
73#2718C2214yes—
74#2715C2214yes—
75#2712C2214yes—
76#2711C2214yes—
77#2711C2214yes—
78#2710C2214yes—
79#2701C2214yes—
80#2698C2214yes—
81#2696C2214yes—
82#2688C2214yes—
83#2687C2214yes—
84#2671C2214yes—
85#2654C2214yes—
86#2652C2214yes—
87#2651C2214yes—
88#2650C2214yes—
89#2649C2214yes—
90#2647C2212yes—
91#2645C2212yes—
92#2635C2214yes—
93#2628C2212yes—
94#2624C2212yes—
95#2612C2214yes—
96#2602C2214yes—
97#2602C2214yes—
98#2589C2214yes—
99#2589C2214yes—
100#2589C2214yes—
101#2584C2212yes—
102#2582C2212yes—
103#2582C2212yes—
104#2575C2214yes—
105#2570C2212yes—
106#2563C2212yes—
107#2562C2212yes—
108#2562C2212yes—
109#2558C2214yes—
110#2555C2214yes—
111#2553C2214yes—
112#2552C2211yescharacteristic
113#2552C2211yescharacteristic
114#2552C2212yes—
115#2550C2212yes—
116#2547C2212yes—
117#2547C2211yescharacteristic
118#2547C2212yes—
119#2547C2211yescharacteristic
120#2540C2212yes—
121#2537C2212yes—
122#2537C2212yes—
123#2537C2211yescharacteristic
124#2537C2211yescharacteristic
125#2535C2212yes—
126#2532C2212yes—
127#2531C2214yes—
128#2531C2214yes—
129#2530C2214yes—
130#2529C2214yes—
131#2527C2214yes—
132#2526C2212yes—
133#2526C2214yes—
134#2522C2214yes—
135#2522C2214yes—
136#2521C2214yes—
137#2518C2212yes—
138#2516C2214yes—
139#2513C2211yescharacteristic
140#2511C2212yes—
141#2509C2214yes—
142#2508C2211yescharacteristic
143#2507C2212yes—
144#2506C2212yes—
145#2501C2212yes—
146#2500C2211yescharacteristic
147#2497C2212yes—
148#2497C2212yes—
149#2497C2212yes—
150#2497C2212yes—
151#2497C2211yescharacteristic
152#2496C2212yes—
153#2494C2212yes—
154#2491C2211yescharacteristic
155#2490C2212yes—
156#2489C2212yes—
157#2489C2212yes—
158#2487C2212yes—
159#2487C2212yes—
160#2487C2212yes—
161#2487C2212yes—
162#2486C2212yes—
163#2486C2212yes—
164#2485C2212yes—
165#2485C2212yes—
166#2485C2212yes—
167#2485C2211yescharacteristic
168#2479C2212yes—
169#2476C2214yes—
170#2471C2212yes—
171#2467C2212yes—
172#2464C2214yes—
173#2464C2214yes—
174#2459C2214yes—
175#2459C2214yes—
176#2459C2212yes—
177#2456C2212yes—
178#2454C2214yes—
179#2454C2211yescharacteristic
180#2453C2212yes—
181#2450C2214yes—
182#2450C2214yes—
183#2448C2211yescharacteristic
184#2447C2212yes—
185#2447C2212yes—
186#2447C2214yes—
187#2443C2214yes—
188#2442C2212yes—
189#2442C2212yes—
190#2441C2212yes—
191#2441C2212yes—
192#2441C2211yescharacteristic
193#2439C2211yescharacteristic
194#2436C2212yes—
195#2431C2211yescharacteristic
196#2428C2212yes—
197#2428C2211yescharacteristic
198#2427C2212yes—
199#2427C2214yes—
200#2427C2212yes—
201#2426C2212yes—
202#2425C2214yes—
203#2423C2212yes—
204#2423C2211yescharacteristic
205#2423C2212yes—
206#2422C2212yes—
207#2420C2214yes—
208#2419C2214yes—
209#2417C2212yes—
210#2416C2212yes—
211#2416C2212yes—
212#2416C2212yes—
213#2415C2214yes—
214#2415C2212yes—
215#2414C2211yescharacteristic
216#2414C2212yes—
217#2414C2211yescharacteristic
218#2409C2212yes—
219#2407C2211yescharacteristic
220#2398C2212yes—
221#2397C2212yes—
222#2392C2212yes—
223#2392C2212yes—
224#2383C2214yes—
225#2378C2214yes—
226#2372C2214yes—
227#2369C2212yes—
228#2365C2211yescharacteristic
229#2363C2212yes—
230#2362C2212yes—
231#2361C2212yes—
232#2360C2212yes—
233#2360C2212yes—
234#2357C2212yes—
235#2355C2211yescharacteristic
236#2355C2211yescharacteristic
237#2354C2211yescharacteristic
238#2354C2211yescharacteristic
239#2354C2212yes—
240#2352C2212yes—
241#2352C2212yes—
242#2352C2212yes—
243#2352C2212yes—
244Q8×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2212yes—
246D4×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2212yes—
250D4×C4⋊C4C2212yes—
251#2347C2212yes—
252#2346C2212yes—
253#2345C2212yes—
254#2345C2212yes—
255#2343C2214yes—
256Q8×C22⋊C4C2212yes—
257Q8×C22⋊C4C2212yes—
258#2339C2212yes—
259#2332C2214yes—
260#2331C2212yes—
261#2330C2212yes—
262#2330C2212yes—
263#2326C2212yes—
264#2326C2212yes—
265#2324C2212yes—
266#2324C2212yes—
267#2323C2212yes—
268#2322C2214yes—
269#2319C2212yes—
270#2317C2212yes—
271#2314C2212yes—
272#2310C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#124C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2214yes—
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284#2298C2212yes—
285#2295C2211yescharacteristic
286#2295C2212yes—
287#2295C2212yes—
288#2293C2211yescharacteristic
289#2290C2212yes—
290#2290C2214yes—
291#2285C2211yescharacteristic
292C2×#384C2211yescharacteristic
293#2283C2212yes—
294#2283C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301#559—48no—
302#553—48no—
303D4×Q8—28no—
304#548—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309#529—28no—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2312yes—
317C2×#124C2311yescharacteristic
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2312yes—
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C4×#41—28no—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C42C2312yes—
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2314yes—
398#401C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#399C2312yes—
414#399C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2312yes—
419#399C2314yes—
420#399C2314yes—
421#399C2312yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#396C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2312yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#395C2314yes—
465#395C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2312yes—
491#393C2312yes—
492#392C2312yes—
493#392C2314yes—
494#392C2312yes—
495#392C2312yes—
496#392C2314yes—
497#392C2312yes—
498#392C2312yes—
499#392C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2312yes—
511#391C2314yes—
512#391C2314yes—
513#391C2312yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2314yes—
529#390C2314yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2314yes—
533#390C2311yescharacteristic
534#390C2314yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2314yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#383C2314yes—
711#383C2312yes—
712#382C2314yes—
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2312yes—
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2314yes—
719#382C2312yes—
720#382C2312yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2312yes—
725#381C2314yes—
726#381C2314yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2314yes—
812#376C2314yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—42no—
819C22×Q8—28no—
820C22×Q8—44no—
821C22×Q8—44no—
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C4⋊Q8—24no—
857C4⋊Q8—28no—
858C4⋊Q8—42no—
859#127—24no—
860#126—28no—
861#126—48no—
862#125—24no—
863#125—44no—
864#125—44no—
865#125—84no—
866#125—82no—
867#124—24no—
868#124—28no—
869#124—28no—
870#124—44no—
871#124—48no—
872#124—48no—
873#123—28no—
874#123—48no—
875#123—48no—
876#123—48no—
877#123—84no—
878C22⋊Q8—24no—
879C22⋊Q8—28no—
880C22⋊Q8—216no—
881C22⋊Q8—48no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884#121—28no—
885#121—24no—
886#121—24no—
887#121—28no—
888#121—48no—
889#121—48no—
890#121—42no—
891#121—44no—
892#121—44no—
893#121—42no—
894#121—44no—
895#121—42no—
896#121—84no—
897#121—84no—
898C4×Q8—24no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8#4118yes—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—42no—
917C4×D4—42no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—48no—
925C4×D4—48no—
926C4×D4—48no—
927C4×D4—84no—
928#117—24no—
929#117—28no—
930#117—28no—
931#117—44no—
932#117—42no—
933#117—42no—
934#117—44no—
935#117—44no—
936#117—82no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4—82no—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C42—24no—
1073C2×C42—28no—
1074C2×C42—24no—
1075C2×C42—84no—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2414yes—
1134#95C2411yescharacteristic
1135#95C2414yes—
1136#95C2414yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24C2512yes—
1177C24C2512yes—
1178C24C2511yescharacteristic
1179C24C2512yes—
1180C24C2511yescharacteristic
1181#41—416no—
1182C2×Q8—24no—
1183C2×Q8—28no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—42no—
1190C2×Q8—44no—
1191C2×Q8—42no—
1192C2×Q8—44no—
1193C2×Q8—816no—
1194C2×Q8C2×#4114yes—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—42no—
1216C2×D4—41no—
1217C2×D4—42no—
1218C2×D4—41no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4H(5,𝔽2)14yes—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—28no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—28no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2514yes—
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2514yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—41no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—41no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
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—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4C2×#4114yes—
1381C4⋊C4C2×#4118yes—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
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—28no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—22no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—41no—
1412C22⋊C4—42no—
1413C22⋊C4—41no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C42−1+414yes—
1444C42—22no—
1445C42—22no—
1446C42—24no—
1447C42—22no—
1448C42—24no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—24no—
1453C42—24no—
1454C42—22no—
1455C42—22no—
1456C42—24no—
1457C42—22no—
1458C42—24no—
1459C42—22no—
1460C42—24no—
1461C42—22no—
1462C42—42no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42—42no—
1467C42—44no—
1468C42—42no—
1469C42—44no—
1470C42—44no—
1471C42—44no—
1472C42—44no—
1473C42—41no—
1474C42C2×#4114yes—
1475C42C2×#4118yes—
1476C23—21no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—22no—
1482C23—21no—
1483C23—22no—
1484C23—21no—
1485C23—22no—
1486C23—21no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—21no—
1491C23—21no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—21no—
1496C23—22no—
1497C23—21no—
1498C23—22no—
1499C23—21no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23—21no—
1507C23—22no—
1508C23—22no—
1509C23C2×H(5,𝔽2)14yes—
1510C23C2×2−1+412yes—
1511C23C2611yescharacteristic
1512Q8—28no—
1513Q8—48no—
1514Q8—84no—
1515Q8—88no—
1516D4—28no—
1517D4—48no—
1518D4—48no—
1519D4—48no—
1520D4—48no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—84no—
1525D4—88no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—164no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—44no—
1610C2×C4—48no—
1611C2×C4—44no—
1612C2×C4—48no—
1613C2×C4—44no—
1614C2×C4—48no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—48no—
1618C2×C4—44no—
1619C2×C4—48no—
1620C2×C4—88no—
1621C2×C4—88no—
1622C2×C4—88no—
1623C2×C4—164no—
1624C2×C4—164no—
1625C2×C4C22×#4112yes—
1626C2×C4C22×#4114yes—
1627C2×C4C22×#4114yes—
1628C2×C4C22×#4112yes—
1629C2×C4C22×#4112yes—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4C2×2−1+412yes—
1632C2×C4C2×2−1+412yes—
1633C2×C4#58512yes—
1634C2×C4#58512yes—
1635C2×C4#58512yes—
1636C22—22no—
1637C22—22no—
1638C22—24no—
1639C22—22no—
1640C22—24no—
1641C22—24no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—42no—
1649C22—41no—
1650C22—41no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—41no—
1656C22—41no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—41no—
1661C22—42no—
1662C22—42no—
1663C22—41no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—41no—
1668C22—41no—
1669C22—42no—
1670C22—42no—
1671C22C23×#4111yescharacteristic
1672C22C22×H(5,𝔽2)11yescharacteristic
1673C22C22×2−1+411yescharacteristic
1674C22C2×#58511yescharacteristic
1675C22C2×#58511yescharacteristic
1676C22C2×#58511yescharacteristic
1677C22H(7,𝔽2)11yescharacteristic
1678C4—22no—
1679C4—22no—
1680C4—24no—
1681C4—22no—
1682C4—24no—
1683C4—41no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—42no—
1692C4—42no—
1693C4—41no—
1694C4—41no—
1695C4—42no—
1696C4—44no—
1697C4—42no—
1698C4—44no—
1699C4—42no—
1700C4—44no—
1701C4—41no—
1702C4—41no—
1703C4—42no—
1704C4—44no—
1705C4—42no—
1706C4#349414yes—
1707C4#352414yes—
1708C2—42no—
1709C2—44no—
1710C2—81no—
1711C2—82no—
1712C2—82no—
1713C2#6276111yescharacteristic
1714C2C2×#352411yescharacteristic
1715C2C2×#349411yescharacteristic
1716C2#6292011yescharacteristic
1717C2#6293811yescharacteristic
1718C2#6300011yescharacteristic
1719C2#6301311yescharacteristic
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. #59933C2semidirect
2. #59827C2semidirect
3. #59304C2semidirect
4. #59236C2semidirect
5. #59217C2semidirect
6. #51156C2semidirect
7. #50972C2semidirect
8. #46172C2semidirect
9. #45319C2semidirect
10. #45136C2semidirect
11. #44981C2semidirect
12. #44974C2semidirect
13. #42711C2semidirect
14. #42671C2semidirect
15. #42557C2semidirect
16. #42508C2semidirect
17. #39191C2semidirect
18. #39180C2semidirect
19. #39146C2semidirect
20. #39124C2semidirect
21. #38548C2semidirect
22. #38255C2semidirect
23. #37939C2semidirect
24. #36551C2semidirect
25. #36471C2semidirect
26. #36444C2semidirect
27. #36315C2semidirect
28. #36189C2semidirect
29. #35229C2semidirect
30. #35203C2semidirect
31. #34800C2semidirect
32. #34727C2semidirect
33. #34487C2semidirect
34. #34384C2semidirect
35. #34127C2semidirect

Maximal subgroups

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

subgroupindex
#599332
#598272
#593042
#592362
#592172
#511562
#509722
#461722
#453192
#451362
#449812
#449742
#427112
#426712
#425572
#425082
#391912
#391802
#391462
#391242
#385482
#382552
#379392
#365512
#364712
#364442
#363152
#361892
#352292
#352032
#348002
#347272
#344872
#343842
#341272