Finite Group Databasebeta

← #8463256

Subgroups — #8463256

Order 512.

4674 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59832C211yesmaximal, characteristic, complemented
2#59313C211yesmaximal, characteristic, complemented
3#59229C211yesmaximal, characteristic, complemented
4#58571C214yesmaximal, complemented
5#54489C214yesmaximal, complemented
6#54229C214yesmaximal, complemented
7#53127C212yesmaximal, complemented
8#53119C212yesmaximal, complemented
9#51552C214yesmaximal, complemented
10#46180C212yesmaximal, complemented
11#45631C212yesmaximal, complemented
12#44937C212yesmaximal, complemented
13#44928C212yesmaximal, complemented
14#42813C212yesmaximal, complemented
15#42681C212yesmaximal, complemented
16#42568C212yesmaximal, complemented
17#42473C212yesmaximal, complemented
18#39498C211yesmaximal, characteristic, complemented
19#39146C211yesmaximal, characteristic, complemented
20#38955C212yesmaximal, complemented
21#38950C212yesmaximal, complemented
22#38940C211yesmaximal, characteristic, complemented
23#38930C211yesmaximal, characteristic, complemented
24#38276C212yesmaximal, complemented
25#38069C212yesmaximal, complemented
26#37623C211yesmaximal, characteristic, complemented
27#37314C212yesmaximal, complemented
28#37294C212yesmaximal, complemented
29#36272C211yesmaximal, characteristic, complemented
30#36261C211yesmaximal, characteristic, complemented
31#36189C211yesmaximal, characteristic, complemented
32#35196C211yesmaximal, characteristic, complemented
33#35192C211yesmaximal, characteristic, complemented
34#34943C211yesmaximal, characteristic, complemented
35#34800C211yesmaximal, characteristic, complemented
36C2×Q82C2212yes—
37C2×#555C2212yes—
38C2×#554C2212yes—
39C2×#552C2212yes—
40C2×#547C2212yes—
41C2×#547C2212yes—
42#2864C2212yes—
43#2862C2212yes—
44#2859C2211yescharacteristic
45#2859C2212yes—
46#2857C2211yescharacteristic
47#2857C2212yes—
48#2857C2211yescharacteristic
49#2855C2212yes—
50#2850C2212yes—
51#2843C2214yes—
52#2839C2214yes—
53#2836C2214yes—
54#2836C2214yes—
55#2832C2214yes—
56#2827C2214yes—
57#2821C2214yes—
58#2816C2214yes—
59#2807C2214yes—
60#2806C2214yes—
61#2788C2214yes—
62#2788C2214yes—
63#2775C2214yes—
64#2775C2214yes—
65#2774C2214yes—
66#2770C2214yes—
67#2770C2214yes—
68#2767C2214yes—
69#2766C2214yes—
70#2765C2214yes—
71#2763C2214yes—
72#2758C2214yes—
73#2755C2214yes—
74#2754C2214yes—
75#2751C2214yes—
76#2751C2214yes—
77#2747C2214yes—
78#2746C2214yes—
79#2745C2214yes—
80#2743C2214yes—
81#2741C2214yes—
82#2738C2214yes—
83#2737C2214yes—
84#2734C2214yes—
85#2729C2214yes—
86#2729C2214yes—
87#2717C2214yes—
88#2713C2214yes—
89#2713C2214yes—
90#2707C2214yes—
91#2705C2214yes—
92#2704C2214yes—
93#2702C2214yes—
94#2701C2214yes—
95#2700C2214yes—
96#2700C2214yes—
97#2687C2214yes—
98#2687C2214yes—
99#2687C2214yes—
100#2687C2214yes—
101#2686C2214yes—
102#2680C2214yes—
103#2674C2214yes—
104#2674C2214yes—
105#2674C2214yes—
106#2674C2214yes—
107#2672C2214yes—
108#2665C2214yes—
109#2665C2214yes—
110#2660C2212yes—
111#2660C2212yes—
112#2649C2214yes—
113#2647C2212yes—
114#2647C2212yes—
115#2647C2212yes—
116#2645C2212yes—
117#2640C2212yes—
118#2637C2214yes—
119#2628C2212yes—
120#2627C2214yes—
121#2625C2214yes—
122#2621C2214yes—
123#2618C2214yes—
124#2611C2214yes—
125#2605C2214yes—
126#2599C2214yes—
127#2584C2212yes—
128#2584C2212yes—
129#2583C2214yes—
130#2582C2212yes—
131#2580C2212yes—
132#2572C2212yes—
133#2572C2212yes—
134#2571C2211yescharacteristic
135#2571C2211yescharacteristic
136#2571C2211yescharacteristic
137#2570C2212yes—
138#2563C2212yes—
139#2563C2211yescharacteristic
140#2563C2211yescharacteristic
141#2562C2212yes—
142#2553C2214yes—
143#2552C2211yescharacteristic
144#2552C2211yescharacteristic
145#2551C2211yescharacteristic
146#2551C2211yescharacteristic
147#2551C2211yescharacteristic
148#2551C2212yes—
149#2550C2212yes—
150#2549C2214yes—
151#2547C2211yescharacteristic
152#2547C2212yes—
153#2546C2212yes—
154#2546C2212yes—
155#2542C2211yescharacteristic
156#2537C2211yescharacteristic
157#2537C2211yescharacteristic
158#2536C2212yes—
159#2532C2212yes—
160#2526C2212yes—
161#2518C2212yes—
162#2516C2214yes—
163#2513C2211yescharacteristic
164#2511C2212yes—
165#2509C2212yes—
166#2508C2211yescharacteristic
167#2507C2212yes—
168#2503C2212yes—
169#2503C2214yes—
170#2500C2211yescharacteristic
171#2498C2214yes—
172#2497C2212yes—
173#2497C2211yescharacteristic
174#2497C2212yes—
175#2497C2212yes—
176#2496C2212yes—
177#2495C2212yes—
178#2495C2211yescharacteristic
179#2495C2211yescharacteristic
180#2495C2212yes—
181#2494C2212yes—
182#2493C2214yes—
183#2492C2212yes—
184#2491C2212yes—
185#2491C2211yescharacteristic
186#2489C2212yes—
187#2487C2212yes—
188#2487C2212yes—
189#2486C2212yes—
190#2486C2212yes—
191#2485C2212yes—
192#2485C2211yescharacteristic
193#2485C2212yes—
194#2484C2214yes—
195#2474C2214yes—
196#2470C2214yes—
197#2459C2212yes—
198#2458C2214yes—
199#2458C2214yes—
200#2454C2212yes—
201#2451C2212yes—
202#2451C2212yes—
203#2451C2214yes—
204#2442C2212yes—
205#2442C2212yes—
206#2442C2212yes—
207#2442C2212yes—
208#2442C2212yes—
209#2441C2212yes—
210#2441C2212yes—
211#2440C2212yes—
212#2440C2212yes—
213#2440C2212yes—
214#2440C2212yes—
215#2440C2212yes—
216#2440C2212yes—
217#2439C2212yes—
218#2439C2212yes—
219#2439C2211yescharacteristic
220#2439C2212yes—
221#2439C2212yes—
222#2439C2212yes—
223#2439C2212yes—
224#2438C2214yes—
225#2432C2214yes—
226#2432C2214yes—
227#2430C2214yes—
228#2427C2212yes—
229#2426C2212yes—
230#2426C2212yes—
231#2423C2212yes—
232#2423C2212yes—
233#2422C2212yes—
234#2422C2212yes—
235#2422C2212yes—
236#2421C2212yes—
237#2421C2212yes—
238#2420C2212yes—
239#2420C2211yescharacteristic
240#2420C2212yes—
241#2420C2212yes—
242#2420C2211yescharacteristic
243#2420C2212yes—
244#2417C2212yes—
245#2417C2212yes—
246#2416C2212yes—
247#2415C2212yes—
248#2414C2211yescharacteristic
249#2406C2214yes—
250#2398C2212yes—
251#2398C2212yes—
252#2398C2212yes—
253#2392C2212yes—
254#2378C2214yes—
255#2365C2211yescharacteristic
256#2365C2211yescharacteristic
257#2365C2212yes—
258#2360C2212yes—
259#2360C2212yes—
260#2354C2211yescharacteristic
261#2352C2212yes—
262#2349C2212yes—
263D4×C4⋊C4C2211yescharacteristic
264D4×C4⋊C4C2211yescharacteristic
265D4×C4⋊C4C2211yescharacteristic
266#2345C2212yes—
267#2344C2212yes—
268#2331C2212yes—
269#2331C2212yes—
270#2326C2212yes—
271#2324C2212yes—
272#2320C2212yes—
273#2319C2212yes—
274#2317C2212yes—
275#2314C2212yes—
276#2311C2214yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×#124C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286#2298C2212yes—
287#2293C2212yes—
288#2293C2211yescharacteristic
289C2×#389C2212yes—
290#2285C2211yescharacteristic
291C2×#384C2211yescharacteristic
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2211yescharacteristic
295#2283C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2314yes—
300Q82—48no—
301#555—48no—
302#554—48no—
303#552—48no—
304#547—48no—
305#547—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2314yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2314yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2314yes—
373C2×#117C2312yes—
374C2×#117C2314yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2314yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2312yes—
387#401C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2312yes—
468#396C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#394C2312yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2312yes—
502#393C2312yes—
503#393C2312yes—
504#393C2312yes—
505#393C2314yes—
506#393C2314yes—
507#393C2312yes—
508#393C2314yes—
509#393C2314yes—
510#393C2312yes—
511#393C2314yes—
512#392C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2314yes—
526#391C2314yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2312yes—
531#391C2314yes—
532#391C2314yes—
533#391C2314yes—
534#390C2314yes—
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2312yes—
700#383C2314yes—
701#383C2312yes—
702#383C2312yes—
703#383C2312yes—
704#383C2312yes—
705#383C2312yes—
706#382C2314yes—
707#382C2311yescharacteristic
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2311yescharacteristic
717#382C2311yescharacteristic
718#382C2312yes—
719#382C2314yes—
720#382C2311yescharacteristic
721#382C2311yescharacteristic
722#382C2312yes—
723#381C2314yes—
724#381C2312yes—
725#381C2312yes—
726#381C2312yes—
727#381C2312yes—
728#381C2314yes—
729#381C2314yes—
730#381C2312yes—
731#381C2314yes—
732#381C2314yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—48no—
817C2×#41—48no—
818C2×#41—48no—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×Q8C2414yes—
824C22×Q8C2414yes—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C23×C4C2411yescharacteristic
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C4⋊Q8—28no—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856C4⋊Q8—48no—
857C4⋊Q8—48no—
858C4⋊Q8—48no—
859#126—48no—
860#125—48no—
861#125—44no—
862#125—44no—
863#125—44no—
864#124—44no—
865#124—44no—
866#124—48no—
867#124—48no—
868#123—48no—
869#123—48no—
870#123—48no—
871#123—48no—
872#123—48no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883#121—24no—
884#121—28no—
885#121—24no—
886#121—24no—
887#121—44no—
888#121—42no—
889#121—44no—
890#121—48no—
891C4×Q8—28no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—48no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—44no—
905C4×D4—42no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—42no—
911#117—24no—
912#117—28no—
913#117—48no—
914#117—48no—
915#117—42no—
916#117—44no—
917#117—44no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—48no—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C42—24no—
1051C2×C42—24no—
1052C2×C42—44no—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163C24C2511yescharacteristic
1164C24C2512yes—
1165C24C2512yes—
1166C24C2511yescharacteristic
1167#41—832no—
1168C2×Q8—24no—
1169C2×Q8—28no—
1170C2×Q8—24no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—44no—
1178C2×Q8—42no—
1179C2×Q8—44no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—28no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—41no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4H(5,𝔽2)14yes—
1210C22×C4—28no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—28no—
1214C22×C4—28no—
1215C22×C4—28no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—41no—
1238C22×C4—44no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4H(5,𝔽2)14yes—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—22no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—22no—
1372C22⋊C4—24no—
1373C22⋊C4—22no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C42—24no—
1409C42—28no—
1410C42—24no—
1411C42—24no—
1412C42—22no—
1413C42—24no—
1414C42—24no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—24no—
1423C42—22no—
1424C42—24no—
1425C42—42no—
1426C42—42no—
1427C42—41no—
1428C42—42no—
1429C42—42no—
1430C42—44no—
1431C42—44no—
1432C42—41no—
1433C42—44no—
1434C42—44no—
1435C42—42no—
1436C422−1+414yes—
1437C422−1+414yes—
1438C23—22no—
1439C23—21no—
1440C23—21no—
1441C23—22no—
1442C23—22no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—22no—
1447C23—22no—
1448C23—21no—
1449C23—22no—
1450C23—21no—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—21no—
1457C23—21no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—22no—
1462C23—22no—
1463C23—21no—
1464C23C2×H(5,𝔽2)14yes—
1465C23#58512yes—
1466C23C2611yescharacteristic
1467Q8—48no—
1468Q8—48no—
1469Q8—84no—
1470Q8—88no—
1471Q8—164no—
1472Q8—164no—
1473D4—28no—
1474D4—44no—
1475D4—48no—
1476D4—48no—
1477D4—44no—
1478D4—84no—
1479D4—88no—
1480D4—84no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—44no—
1565C2×C4—416no—
1566C2×C4—44no—
1567C2×C4—48no—
1568C2×C4—44no—
1569C2×C4—48no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—84no—
1573C2×C4—82no—
1574C2×C4—84no—
1575C2×C4—88no—
1576C2×C4—88no—
1577C2×C4—88no—
1578C2×C4C2×H(5,𝔽2)14yes—
1579C2×C4C2×H(5,𝔽2)12yes—
1580C2×C4C2×H(5,𝔽2)12yes—
1581C2×C4C2×2−1+412yes—
1582C2×C4C2×2−1+412yes—
1583C2×C4C2×2−1+412yes—
1584C2×C4C2×2−1+412yes—
1585C2×C4C2×2−1+412yes—
1586C2×C4C2×2−1+412yes—
1587C2×C4#58512yes—
1588C22—24no—
1589C22—24no—
1590C22—22no—
1591C22—22no—
1592C22—24no—
1593C22—22no—
1594C22—41no—
1595C22—42no—
1596C22—41no—
1597C22—42no—
1598C22—42no—
1599C22—41no—
1600C22—41no—
1601C22—42no—
1602C22—41no—
1603C22—42no—
1604C22—41no—
1605C22—42no—
1606C22—42no—
1607C22—41no—
1608C22—41no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—42no—
1616C22C22×H(5,𝔽2)11yescharacteristic
1617C22C22×H(5,𝔽2)11yescharacteristic
1618C22C22×2−1+411yescharacteristic
1619C22C22×2−1+411yescharacteristic
1620C22C2×#58511yescharacteristic
1621C22C2×#58511yescharacteristic
1622C222−1+611yescharacteristic
1623C4—24no—
1624C4—22no—
1625C4—22no—
1626C4—22no—
1627C4—41no—
1628C4—42no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—42no—
1633C4—44no—
1634C4—44no—
1635C4—42no—
1636C4—44no—
1637C4—42no—
1638C4—41no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—41no—
1646C4—42no—
1647C4—44no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4—41no—
1652C4#354414yes—
1653C4#354714yes—
1654C2—44no—
1655C2—42no—
1656C2—81no—
1657C2—82no—
1658C2C2×#354411yescharacteristic
1659C2C2×#354711yescharacteristic
1660C2#6283111yescharacteristic
1661C2#6291311yescharacteristic
1662C2#6292111yescharacteristic
1663C2#6292811yescharacteristic
1664C2#6301211yescharacteristic
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. #59832C2semidirect
2. #59313C2semidirect
3. #59229C2semidirect
4. #58571C2semidirect
5. #54489C2semidirect
6. #54229C2semidirect
7. #53127C2semidirect
8. #53119C2semidirect
9. #51552C2semidirect
10. #46180C2semidirect
11. #45631C2semidirect
12. #44937C2semidirect
13. #44928C2semidirect
14. #42813C2semidirect
15. #42681C2semidirect
16. #42568C2semidirect
17. #42473C2semidirect
18. #39498C2semidirect
19. #39146C2semidirect
20. #38955C2semidirect
21. #38950C2semidirect
22. #38940C2semidirect
23. #38930C2semidirect
24. #38276C2semidirect
25. #38069C2semidirect
26. #37623C2semidirect
27. #37314C2semidirect
28. #37294C2semidirect
29. #36272C2semidirect
30. #36261C2semidirect
31. #36189C2semidirect
32. #35196C2semidirect
33. #35192C2semidirect
34. #34943C2semidirect
35. #34800C2semidirect

Maximal subgroups

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

subgroupindex
#598322
#593132
#592292
#585712
#544892
#542292
#531272
#531192
#515522
#461802
#456312
#449372
#449282
#428132
#426812
#425682
#424732
#394982
#391462
#389552
#389502
#389402
#389302
#382762
#380692
#376232
#373142
#372942
#362722
#362612
#361892
#351962
#351922
#349432
#348002