Finite Group Databasebeta

← #8424469

Subgroups — #8424469

Order 512.

4919 conjugacy classes of subgroups.

The subgroup lattice has 1765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59683C212yesmaximal, complemented
2#59640C211yesmaximal, characteristic, complemented
3#59084C211yesmaximal, characteristic, complemented
4#59080C211yesmaximal, characteristic, complemented
5#59037C212yesmaximal, complemented
6#55023C214yesmaximal, complemented
7#54971C214yesmaximal, complemented
8#53106C212yesmaximal, complemented
9#53049C212yesmaximal, complemented
10#53046C212yesmaximal, complemented
11#52984C212yesmaximal, complemented
12#52494C214yesmaximal, complemented
13#42874C212yesmaximal, complemented
14#42796C212yesmaximal, complemented
15#42661C212yesmaximal, complemented
16#42467C212yesmaximal, complemented
17#41046C214yesmaximal, complemented
18#40068C212yesmaximal, complemented
19#39977C212yesmaximal, complemented
20#39500C212yesmaximal, complemented
21#39479C211yesmaximal, characteristic, complemented
22#39478C211yesmaximal, characteristic, complemented
23#39343C211yesmaximal, characteristic, complemented
24#39125C211yesmaximal, characteristic, complemented
25#37787C212yesmaximal, complemented
26#37639C211yesmaximal, characteristic, complemented
27#37616C211yesmaximal, characteristic, complemented
28#37570C212yesmaximal, complemented
29#37516C212yesmaximal, complemented
30Q8×#124C211yesmaximal, characteristic, complemented
31#36476C211yesmaximal, characteristic, complemented
32#36149C211yesmaximal, characteristic, complemented
33#34941C211yesmaximal, characteristic, complemented
34#34934C211yesmaximal, characteristic, complemented
35#34889C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#548C2212yes—
39C2×#536C2212yes—
40C2×#532C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C2×#529C2212yes—
45#2862C2212yes—
46#2862C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2855C2212yes—
50#2837C2214yes—
51#2837C2214yes—
52#2832C2214yes—
53#2832C2214yes—
54#2830C2214yes—
55#2828C2214yes—
56#2826C2214yes—
57#2824C2214yes—
58#2824C2214yes—
59#2819C2214yes—
60#2819C2214yes—
61#2816C2214yes—
62#2813C2214yes—
63#2813C2214yes—
64#2808C2214yes—
65#2808C2214yes—
66#2803C2214yes—
67#2788C2214yes—
68#2779C2214yes—
69#2767C2214yes—
70#2763C2214yes—
71#2754C2214yes—
72#2753C2214yes—
73#2751C2214yes—
74#2750C2214yes—
75#2747C2214yes—
76#2739C2214yes—
77#2733C2214yes—
78#2733C2214yes—
79#2731C2214yes—
80#2731C2214yes—
81#2730C2214yes—
82#2729C2214yes—
83#2716C2214yes—
84#2716C2214yes—
85#2715C2214yes—
86#2712C2214yes—
87#2711C2214yes—
88#2710C2214yes—
89#2706C2214yes—
90#2705C2214yes—
91#2704C2214yes—
92#2702C2214yes—
93#2687C2214yes—
94#2686C2214yes—
95#2676C2214yes—
96#2676C2214yes—
97#2674C2214yes—
98#2674C2214yes—
99#2672C2214yes—
100#2671C2214yes—
101#2665C2214yes—
102#2665C2214yes—
103#2662C2214yes—
104#2661C2214yes—
105#2650C2214yes—
106#2649C2214yes—
107#2648C2214yes—
108#2648C2214yes—
109#2636C2214yes—
110#2630C2214yes—
111#2628C2212yes—
112#2625C2212yes—
113#2624C2212yes—
114#2620C2212yes—
115#2620C2212yes—
116#2620C2212yes—
117#2619C2212yes—
118#2619C2212yes—
119#2619C2212yes—
120#2616C2212yes—
121#2615C2212yes—
122#2615C2212yes—
123#2615C2214yes—
124#2607C2214yes—
125#2602C2214yes—
126#2592C2212yes—
127#2589C2214yes—
128#2580C2212yes—
129#2574C2212yes—
130#2574C2212yes—
131#2570C2212yes—
132#2568C2211yescharacteristic
133#2568C2212yes—
134#2567C2211yescharacteristic
135#2566C2212yes—
136#2565C2212yes—
137#2563C2212yes—
138#2563C2211yescharacteristic
139#2563C2211yescharacteristic
140#2563C2211yescharacteristic
141#2563C2212yes—
142#2562C2212yes—
143#2559C2214yes—
144#2559C2212yes—
145#2557C2212yes—
146#2554C2214yes—
147#2552C2211yescharacteristic
148#2552C2211yescharacteristic
149#2551C2212yes—
150#2550C2211yescharacteristic
151#2550C2212yes—
152#2548C2212yes—
153#2548C2211yescharacteristic
154#2548C2211yescharacteristic
155#2547C2212yes—
156#2544C2211yescharacteristic
157#2544C2212yes—
158#2544C2212yes—
159#2542C2211yescharacteristic
160#2541C2212yes—
161#2541C2211yescharacteristic
162#2541C2211yescharacteristic
163#2540C2211yescharacteristic
164#2538C2211yescharacteristic
165#2538C2211yescharacteristic
166#2537C2212yes—
167#2537C2212yes—
168#2536C2212yes—
169#2535C2212yes—
170#2535C2211yescharacteristic
171#2521C2212yes—
172#2521C2214yes—
173#2512C2212yes—
174#2512C2212yes—
175#2511C2212yes—
176#2511C2212yes—
177#2509C2212yes—
178#2508C2212yes—
179#2508C2212yes—
180#2500C2212yes—
181#2497C2211yescharacteristic
182#2497C2211yescharacteristic
183#2496C2212yes—
184#2492C2214yes—
185#2492C2212yes—
186#2492C2212yes—
187#2492C2211yescharacteristic
188#2492C2212yes—
189#2492C2214yes—
190#2491C2212yes—
191#2491C2212yes—
192#2491C2212yes—
193#2491C2212yes—
194#2491C2212yes—
195#2491C2212yes—
196#2490C2212yes—
197#2490C2211yescharacteristic
198#2489C2212yes—
199#2485C2212yes—
200#2476C2214yes—
201#2471C2214yes—
202#2468C2214yes—
203#2467C2214yes—
204#2464C2212yes—
205#2463C2214yes—
206#2459C2214yes—
207#2459C2214yes—
208#2459C2214yes—
209#2459C2214yes—
210#2459C2214yes—
211#2457C2214yes—
212#2454C2212yes—
213#2452C2212yes—
214#2452C2212yes—
215#2452C2212yes—
216#2448C2212yes—
217#2447C2212yes—
218#2447C2212yes—
219#2445C2212yes—
220#2445C2212yes—
221#2444C2214yes—
222#2441C2212yes—
223#2439C2214yes—
224#2438C2214yes—
225#2436C2212yes—
226#2432C2214yes—
227#2428C2211yescharacteristic
228#2428C2212yes—
229#2427C2212yes—
230#2427C2212yes—
231#2427C2211yescharacteristic
232#2426C2212yes—
233#2426C2212yes—
234#2426C2212yes—
235#2426C2212yes—
236#2423C2212yes—
237#2423C2211yescharacteristic
238#2423C2211yescharacteristic
239#2422C2212yes—
240#2421C2212yes—
241#2421C2212yes—
242#2420C2212yes—
243#2420C2212yes—
244#2420C2212yes—
245#2415C2212yes—
246#2409C2212yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2396C2212yes—
253#2396C2212yes—
254#2395C2212yes—
255#2392C2214yes—
256#2388C2212yes—
257#2369C2211yescharacteristic
258#2367C2212yes—
259#2367C2212yes—
260#2366C2212yes—
261#2365C2211yescharacteristic
262#2364C2214yes—
263#2363C2212yes—
264#2357C2212yes—
265#2357C2212yes—
266#2355C2211yescharacteristic
267#2355C2212yes—
268#2354C2211yescharacteristic
269#2349C2212yes—
270Q8×C22⋊C4C2212yes—
271Q8×C22⋊C4C2212yes—
272#2339C2212yes—
273#2339C2212yes—
274#2329C2214yes—
275#2323C2212yes—
276#2314C2212yes—
277#2314C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×#127C2212yes—
280C4×#127C2211yescharacteristic
281C4×#125C2212yes—
282C4×#124C2212yes—
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2212yes—
291#2297C2212yes—
292#2293C2212yes—
293#2293C2212yes—
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2312yes—
303Q82—44no—
304D4×Q8—44no—
305#548—48no—
306#536—48no—
307#532—44no—
308#532—44no—
309#532—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2314yes—
318C2×C4⋊Q8C2314yes—
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2311yescharacteristic
323#529—44no—
324#529—48no—
325C2×#126C2312yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#124C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2314yes—
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2312yes—
432#399C2314yes—
433#399C2312yes—
434#399C2312yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2312yes—
444#398C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2312yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#395C2312yes—
475#395C2312yes—
476#395C2314yes—
477#395C2314yes—
478#395C2312yes—
479#395C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2312yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2312yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2312yes—
530#393C2314yes—
531#393C2314yes—
532#393C2314yes—
533#392C2314yes—
534#392C2312yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2312yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#391C2312yes—
555#391C2314yes—
556#391C2312yes—
557#391C2314yes—
558#391C2314yes—
559#391C2314yes—
560#391C2314yes—
561#391C2312yes—
562#391C2314yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2314yes—
569#391C2314yes—
570#391C2312yes—
571#391C2314yes—
572#391C2311yescharacteristic
573#391C2312yes—
574#391C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2314yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2312yes—
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2312yes—
614#389C2314yes—
615#389C2312yes—
616#389C2314yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#384C2312yes—
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2312yes—
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2314yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2311yescharacteristic
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2314yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C2×#95C2314yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—82no—
828C22×Q8—28no—
829C22×Q8—44no—
830C22×Q8—44no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2414yes—
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2414yes—
838C22×Q8C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2411yescharacteristic
869C23×C4C2414yes—
870C23×C4C2412yes—
871C4⋊Q8—24no—
872C4⋊Q8—24no—
873C4⋊Q8—42no—
874C4⋊Q8—42no—
875C4⋊Q8—44no—
876C4⋊Q8—44no—
877C4⋊Q8—44no—
878C4⋊Q8—48no—
879C4⋊Q8—48no—
880#127—24no—
881#127—44no—
882#127—44no—
883#127—42no—
884#126—44no—
885#126—48no—
886#126—84no—
887#125—42no—
888#125—44no—
889#125—44no—
890#124—28no—
891#124—24no—
892#124—44no—
893#124—44no—
894#124—42no—
895#124—44no—
896#124—44no—
897#124—48no—
898#124—48no—
899#124—84no—
900#124—84no—
901#124—84no—
902#123—48no—
903#123—44no—
904#123—48no—
905#123—48no—
906C22⋊Q8—28no—
907C22⋊Q8—24no—
908C22⋊Q8—24no—
909C22⋊Q8—48no—
910C22⋊Q8—48no—
911C22⋊Q8—48no—
912C22⋊Q8—42no—
913C22⋊Q8—44no—
914C22⋊Q8—42no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—82no—
919#121—44no—
920#121—48no—
921#121—44no—
922#121—42no—
923#121—44no—
924#121—48no—
925#121—44no—
926#121—44no—
927#121—42no—
928#121—42no—
929#121—42no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—44no—
935#121—84no—
936C4×Q8—24no—
937C4×Q8—24no—
938C4×Q8—24no—
939C4×Q8—44no—
940C4×Q8—42no—
941C4×Q8—44no—
942C4×Q8—44no—
943C4×Q8—44no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—28no—
948C4×D4—24no—
949C4×D4—48no—
950C4×D4—42no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—42no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—42no—
962C4×D4—48no—
963C4×D4—82no—
964C4×D4—84no—
965#117—44no—
966#117—44no—
967#117—44no—
968#117—48no—
969#117—44no—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C42—24no—
1100C2×C42—24no—
1101C2×C42—44no—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2414yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24C2511yescharacteristic
1197C24C2514yes—
1198C24C2512yes—
1199C24C2511yescharacteristic
1200C24C2512yes—
1201#41—816no—
1202#41—816no—
1203#41—816no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—28no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—44no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8—44no—
1225C2×Q8—44no—
1226C2×Q8—44no—
1227C2×Q8—816no—
1228C2×Q8H(5,𝔽2)14yes—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—28no—
1305C22×C4—28no—
1306C22×C4—24no—
1307C22×C4—28no—
1308C22×C4—41no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—41no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—44no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—41no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2514yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—28no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—41no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—22no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—24no—
1492C42—24no—
1493C42—24no—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—22no—
1499C42—22no—
1500C42—42no—
1501C42—42no—
1502C42—44no—
1503C42—41no—
1504C42—44no—
1505C42—41no—
1506C42—42no—
1507C42—42no—
1508C42—44no—
1509C42—44no—
1510C42—44no—
1511C42—42no—
1512C42H(5,𝔽2)14yes—
1513C422−1+414yes—
1514C23—21no—
1515C23—24no—
1516C23—22no—
1517C23—21no—
1518C23—22no—
1519C23—22no—
1520C23—24no—
1521C23—22no—
1522C23—21no—
1523C23—21no—
1524C23—22no—
1525C23—21no—
1526C23—21no—
1527C23—22no—
1528C23—24no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—22no—
1533C23—22no—
1534C23—24no—
1535C23—24no—
1536C23—22no—
1537C23—24no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—21no—
1545C23—22no—
1546C23—22no—
1547C23—21no—
1548C23—24no—
1549C23C2611yescharacteristic
1550Q8—28no—
1551Q8—44no—
1552Q8—48no—
1553Q8—88no—
1554Q8—84no—
1555Q8—84no—
1556Q8—84no—
1557Q8—164no—
1558D4—44no—
1559D4—48no—
1560D4—44no—
1561D4—44no—
1562D4—48no—
1563D4—48no—
1564D4—84no—
1565D4—84no—
1566D4—88no—
1567D4—88no—
1568D4—84no—
1569D4—88no—
1570D4—84no—
1571D4—84no—
1572D4—84no—
1573D4—88no—
1574D4—88no—
1575D4—164no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—24no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—48no—
1659C2×C4—48no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—84no—
1663C2×C4—88no—
1664C2×C4—82no—
1665C2×C4—88no—
1666C2×C4—88no—
1667C2×C4—84no—
1668C2×C4—88no—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4C2×H(5,𝔽2)14yes—
1671C2×C4C2×H(5,𝔽2)12yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4C2×2−1+412yes—
1675C2×C4C2×2−1+412yes—
1676C2×C4C2×2−1+412yes—
1677C2×C4#58512yes—
1678C2×C4#58512yes—
1679C2×C4#58512yes—
1680C22—42no—
1681C22—41no—
1682C22—41no—
1683C22—42no—
1684C22—44no—
1685C22—41no—
1686C22—41no—
1687C22—42no—
1688C22—42no—
1689C22—44no—
1690C22—41no—
1691C22—41no—
1692C22—42no—
1693C22—42no—
1694C22—44no—
1695C22—42no—
1696C22—42no—
1697C22—44no—
1698C22—41no—
1699C22—41no—
1700C22—44no—
1701C22—42no—
1702C22—41no—
1703C22—41no—
1704C22—42no—
1705C22—41no—
1706C22—44no—
1707C22—41no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—44no—
1712C22—42no—
1713C22—41no—
1714C22—41no—
1715C22C22×H(5,𝔽2)11yescharacteristic
1716C22C22×H(5,𝔽2)11yescharacteristic
1717C22C22×2−1+411yescharacteristic
1718C22C2×#58511yescharacteristic
1719C22C2×#58511yescharacteristic
1720C22C2×#58511yescharacteristic
1721C22H(7,𝔽2)11yescharacteristic
1722C4—24no—
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—41no—
1728C4—41no—
1729C4—42no—
1730C4—42no—
1731C4—44no—
1732C4—41no—
1733C4—41no—
1734C4—42no—
1735C4—42no—
1736C4—41no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—44no—
1742C4—41no—
1743C4—44no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—42no—
1748C4—42no—
1749C4—41no—
1750C4#354714yes—
1751C4#355814yes—
1752C2—82no—
1753C2—81no—
1754C2—81no—
1755C2—82no—
1756C2—84no—
1757C2C2×#355811yescharacteristic
1758C2C2×#354711yescharacteristic
1759C2#6276111yescharacteristic
1760C2#6291711yescharacteristic
1761C2#6292411yescharacteristic
1762C2#6293811yescharacteristic
1763C2#6302211yescharacteristic
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. #59683C2semidirect
2. #59640C2semidirect
3. #59084C2semidirect
4. #59080C2semidirect
5. #59037C2semidirect
6. #55023C2semidirect
7. #54971C2semidirect
8. #53106C2semidirect
9. #53049C2semidirect
10. #53046C2semidirect
11. #52984C2semidirect
12. #52494C2semidirect
13. #42874C2semidirect
14. #42796C2semidirect
15. #42661C2semidirect
16. #42467C2semidirect
17. #41046C2semidirect
18. #40068C2semidirect
19. #39977C2semidirect
20. #39500C2semidirect
21. #39479C2semidirect
22. #39478C2semidirect
23. #39343C2semidirect
24. #39125C2semidirect
25. #37787C2semidirect
26. #37639C2semidirect
27. #37616C2semidirect
28. #37570C2semidirect
29. #37516C2semidirect
30. Q8×#124C2semidirect
31. #36476C2semidirect
32. #36149C2semidirect
33. #34941C2semidirect
34. #34934C2semidirect
35. #34889C2semidirect

Maximal subgroups

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

subgroupindex
#596832
#596402
#590842
#590802
#590372
#550232
#549712
#531062
#530492
#530462
#529842
#524942
#428742
#427962
#426612
#424672
#410462
#400682
#399772
#395002
#394792
#394782
#393432
#391252
#377872
#376392
#376162
#375702
#375162
Q8×#1242
#364762
#361492
#349412
#349342
#348892