Finite Group Databasebeta

← #8467052

Subgroups — #8467052

Order 512.

4599 conjugacy classes of subgroups.

The subgroup lattice has 1738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59419C211yesmaximal, characteristic, complemented
2#59242C211yesmaximal, characteristic, complemented
3#59217C211yesmaximal, characteristic, complemented
4#56022C214yesmaximal, complemented
5#55333C214yesmaximal, complemented
6#55097C214yesmaximal, complemented
7#53128C212yesmaximal, complemented
8#53060C212yesmaximal, complemented
9#49990C214yesmaximal, complemented
10#46084C212yesmaximal, complemented
11#45595C212yesmaximal, complemented
12#45408C212yesmaximal, complemented
13#45150C212yesmaximal, complemented
14#42761C212yesmaximal, complemented
15#42760C212yesmaximal, complemented
16#42751C212yesmaximal, complemented
17#42709C212yesmaximal, complemented
18#40033C212yesmaximal, complemented
19#39725C211yesmaximal, characteristic, complemented
20#39725C211yesmaximal, characteristic, complemented
21#39240C212yesmaximal, complemented
22#39197C212yesmaximal, complemented
23#38977C211yesmaximal, characteristic, complemented
24#38909C211yesmaximal, characteristic, complemented
25#38118C212yesmaximal, complemented
26#37641C211yesmaximal, characteristic, complemented
27#37372C212yesmaximal, complemented
28#37356C212yesmaximal, complemented
29#36590C211yesmaximal, characteristic, complemented
30#36410C211yesmaximal, characteristic, complemented
31#36211C211yesmaximal, characteristic, complemented
32#35189C211yesmaximal, characteristic, complemented
33#35186C211yesmaximal, characteristic, complemented
34#34919C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2861C2212yes—
43#2861C2212yes—
44#2860C2212yes—
45#2859C2211yescharacteristic
46#2856C2211yescharacteristic
47#2856C2211yescharacteristic
48#2854C2212yes—
49#2851C2212yes—
50#2850C2212yes—
51#2829C2214yes—
52#2828C2214yes—
53#2828C2214yes—
54#2827C2214yes—
55#2826C2214yes—
56#2825C2214yes—
57#2822C2214yes—
58#2815C2214yes—
59#2803C2214yes—
60#2797C2214yes—
61#2787C2214yes—
62#2782C2214yes—
63#2781C2214yes—
64#2779C2214yes—
65#2778C2214yes—
66#2778C2214yes—
67#2773C2214yes—
68#2771C2214yes—
69#2765C2214yes—
70#2765C2214yes—
71#2756C2214yes—
72#2756C2214yes—
73#2756C2214yes—
74#2753C2214yes—
75#2753C2214yes—
76#2753C2214yes—
77#2753C2214yes—
78#2753C2214yes—
79#2752C2214yes—
80#2751C2214yes—
81#2749C2214yes—
82#2749C2214yes—
83#2746C2214yes—
84#2746C2214yes—
85#2745C2214yes—
86#2743C2214yes—
87#2741C2214yes—
88#2739C2214yes—
89#2738C2214yes—
90#2733C2214yes—
91#2730C2214yes—
92#2716C2214yes—
93#2714C2214yes—
94#2711C2214yes—
95#2711C2214yes—
96#2703C2214yes—
97#2701C2214yes—
98#2699C2214yes—
99#2699C2214yes—
100#2695C2214yes—
101#2691C2214yes—
102#2691C2214yes—
103#2688C2214yes—
104#2676C2214yes—
105#2676C2214yes—
106#2674C2214yes—
107#2671C2214yes—
108#2653C2214yes—
109#2651C2214yes—
110#2651C2214yes—
111#2651C2214yes—
112#2649C2214yes—
113#2645C2212yes—
114#2643C2214yes—
115#2630C2214yes—
116#2625C2212yes—
117#2625C2212yes—
118#2625C2212yes—
119#2625C2212yes—
120#2624C2212yes—
121#2621C2214yes—
122#2619C2212yes—
123#2619C2212yes—
124#2601C2214yes—
125#2597C2214yes—
126#2594C2214yes—
127#2593C2214yes—
128#2582C2211yescharacteristic
129#2582C2211yescharacteristic
130#2582C2211yescharacteristic
131#2582C2211yescharacteristic
132#2580C2212yes—
133#2580C2212yes—
134#2576C2214yes—
135#2572C2214yes—
136#2571C2212yes—
137#2568C2212yes—
138#2568C2212yes—
139#2562C2212yes—
140#2560C2212yes—
141#2558C2212yes—
142#2552C2211yescharacteristic
143#2550C2211yescharacteristic
144#2548C2212yes—
145#2548C2211yescharacteristic
146#2548C2212yes—
147#2548C2211yescharacteristic
148#2546C2212yes—
149#2546C2212yes—
150#2545C2211yescharacteristic
151#2544C2212yes—
152#2543C2214yes—
153#2540C2212yes—
154#2540C2212yes—
155#2540C2211yescharacteristic
156#2538C2211yescharacteristic
157#2538C2211yescharacteristic
158#2537C2211yescharacteristic
159#2537C2212yes—
160#2536C2211yescharacteristic
161#2535C2212yes—
162#2525C2214yes—
163#2524C2214yes—
164#2519C2212yes—
165#2516C2214yes—
166#2515C2214yes—
167#2514C2212yes—
168#2514C2212yes—
169#2514C2212yes—
170#2513C2214yes—
171#2513C2212yes—
172#2513C2212yes—
173#2513C2212yes—
174#2512C2212yes—
175#2510C2214yes—
176#2508C2212yes—
177#2505C2214yes—
178#2503C2212yes—
179#2499C2212yes—
180#2497C2212yes—
181#2495C2212yes—
182#2494C2212yes—
183#2494C2212yes—
184#2493C2214yes—
185#2491C2212yes—
186#2491C2214yes—
187#2491C2212yes—
188#2491C2214yes—
189#2491C2211yescharacteristic
190#2490C2212yes—
191#2490C2212yes—
192#2490C2212yes—
193#2489C2212yes—
194#2489C2212yes—
195#2489C2211yescharacteristic
196#2485C2212yes—
197#2485C2212yes—
198#2477C2212yes—
199#2476C2214yes—
200#2476C2214yes—
201#2475C2212yes—
202#2468C2214yes—
203#2464C2214yes—
204#2463C2212yes—
205#2461C2212yes—
206#2460C2212yes—
207#2454C2212yes—
208#2454C2212yes—
209#2452C2211yescharacteristic
210#2448C2212yes—
211#2447C2212yes—
212#2447C2212yes—
213#2446C2211yescharacteristic
214#2445C2212yes—
215#2442C2212yes—
216#2439C2211yescharacteristic
217#2432C2211yescharacteristic
218#2432C2212yes—
219#2432C2212yes—
220#2431C2212yes—
221#2431C2212yes—
222#2431C2212yes—
223#2429C2211yescharacteristic
224#2428C2212yes—
225#2428C2212yes—
226#2428C2212yes—
227#2427C2212yes—
228#2427C2211yescharacteristic
229#2426C2211yescharacteristic
230#2421C2211yescharacteristic
231#2421C2212yes—
232#2420C2212yes—
233#2420C2212yes—
234#2420C2212yes—
235#2420C2212yes—
236#2416C2212yes—
237#2416C2212yes—
238#2415C2211yescharacteristic
239#2415C2212yes—
240#2414C2212yes—
241#2414C2212yes—
242#2414C2212yes—
243#2414C2212yes—
244#2407C2212yes—
245#2407C2212yes—
246#2407C2212yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2211yescharacteristic
250#2398C2212yes—
251#2396C2212yes—
252#2392C2212yes—
253#2392C2212yes—
254#2379C2214yes—
255#2370C2212yes—
256#2367C2212yes—
257#2363C2212yes—
258#2363C2212yes—
259#2363C2212yes—
260#2363C2212yes—
261#2362C2212yes—
262#2357C2212yes—
263#2355C2211yescharacteristic
264#2355C2211yescharacteristic
265#2354C2211yescharacteristic
266D4×C4⋊C4C2211yescharacteristic
267#2347C2212yes—
268#2347C2212yes—
269#2345C2212yes—
270#2339C2212yes—
271#2339C2212yes—
272#2337C2214yes—
273#2326C2212yes—
274#2324C2212yes—
275#2324C2212yes—
276#2324C2212yes—
277#2323C2212yes—
278#2319C2212yes—
279#2319C2212yes—
280#2311C2212yes—
281C4×#127C2211yescharacteristic
282C4×#125C2212yes—
283C4×#124C2212yes—
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291#2297C2212yes—
292#2295C2211yescharacteristic
293#2293C2212yes—
294#2290C2212yes—
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302#550—44no—
303#550—44no—
304#533—44no—
305#533—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2314yes—
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314#529—44no—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C4×#41—44no—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2311yescharacteristic
396C2×#117C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401#401C2314yes—
402#401C2314yes—
403#401C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#399C2314yes—
421#399C2312yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2312yes—
472#396C2312yes—
473#395C2312yes—
474#394C2312yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#393C2312yes—
509#393C2314yes—
510#393C2314yes—
511#393C2312yes—
512#393C2312yes—
513#392C2312yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2312yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#391C2312yes—
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2314yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2314yes—
539#391C2312yes—
540#391C2311yescharacteristic
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2312yes—
544#391C2312yes—
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2311yescharacteristic
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2311yescharacteristic
579#390C2312yes—
580#390C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2312yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#383C2314yes—
730#383C2314yes—
731#383C2314yes—
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2314yes—
735#382C2312yes—
736#382C2312yes—
737#382C2314yes—
738#382C2312yes—
739#382C2312yes—
740#382C2314yes—
741#382C2311yescharacteristic
742#382C2312yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812#376C2312yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—42no—
817C2×#41—42no—
818C2×#41—42no—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C4⋊Q8—42no—
863C4⋊Q8—42no—
864C4⋊Q8—42no—
865C4⋊Q8—42no—
866C4⋊Q8—84no—
867#127—24no—
868#127—44no—
869#127—44no—
870#126—44no—
871#126—84no—
872#125—44no—
873#125—44no—
874#125—42no—
875#125—44no—
876#125—44no—
877#124—44no—
878#124—42no—
879#124—44no—
880#124—42no—
881#124—42no—
882#124—44no—
883#124—48no—
884#124—48no—
885#123—44no—
886#123—84no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—42no—
892C22⋊Q8—44no—
893C22⋊Q8—42no—
894C22⋊Q8—42no—
895C22⋊Q8—42no—
896C22⋊Q8—42no—
897C22⋊Q8—42no—
898C22⋊Q8—42no—
899#121—44no—
900#121—48no—
901#121—48no—
902#121—42no—
903#121—44no—
904#121—44no—
905#121—44no—
906#121—44no—
907#121—44no—
908#121—42no—
909#121—44no—
910#121—42no—
911#121—44no—
912#121—44no—
913#121—84no—
914#121—84no—
915#121—84no—
916#121—82no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—24no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—42no—
924C4×Q8—42no—
925C4×Q8—42no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—42no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—42no—
935C4×D4—44no—
936C4×D4—42no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—42no—
941C4×D4—44no—
942C4×D4—82no—
943#117—44no—
944#117—44no—
945#117—44no—
946#117—44no—
947#117—44no—
948#117—44no—
949#117—42no—
950#117—82no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C42—24no—
1083C2×C42—24no—
1084C2×C42—44no—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181C24C2512yes—
1182C24C2512yes—
1183C24C2511yescharacteristic
1184C24C2511yescharacteristic
1185C24C2514yes—
1186#41—416no—
1187#41—816no—
1188#41—816no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—24no—
1220C2×D4—42no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—42no—
1280C22×C4—41no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2514yes—
1308C22×C4C2514yes—
1309C22×C4C2514yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—41no—
1362C4⋊C4—41no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—22no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
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—44no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—24no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—22no—
1474C42—24no—
1475C42—22no—
1476C42—42no—
1477C42—42no—
1478C42—44no—
1479C42—44no—
1480C42—44no—
1481C42—41no—
1482C42—41no—
1483C42—42no—
1484C42—42no—
1485C42—42no—
1486C42—44no—
1487C42—44no—
1488C42—42no—
1489C42H(5,𝔽2)14yes—
1490C23—22no—
1491C23—22no—
1492C23—21no—
1493C23—21no—
1494C23—24no—
1495C23—22no—
1496C23—22no—
1497C23—21no—
1498C23—24no—
1499C23—21no—
1500C23—22no—
1501C23—21no—
1502C23—21no—
1503C23—22no—
1504C23—21no—
1505C23—24no—
1506C23—22no—
1507C23—24no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—24no—
1512C23—22no—
1513C23—24no—
1514C23—22no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—24no—
1522C23—22no—
1523C23—21no—
1524C23—22no—
1525C23C2611yescharacteristic
1526Q8—44no—
1527Q8—44no—
1528Q8—44no—
1529Q8—44no—
1530Q8—84no—
1531Q8—84no—
1532D4—44no—
1533D4—48no—
1534D4—44no—
1535D4—48no—
1536D4—44no—
1537D4—48no—
1538D4—84no—
1539D4—84no—
1540D4—84no—
1541D4—84no—
1542D4—88no—
1543D4—88no—
1544D4—164no—
1545D4—164no—
1546D4—164no—
1547D4—164no—
1548D4—164no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—44no—
1632C2×C4—48no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—48no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—48no—
1639C2×C4—82no—
1640C2×C4—84no—
1641C2×C4—88no—
1642C2×C4—88no—
1643C2×C4—164no—
1644C2×C4—164no—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C2×C4C2×H(5,𝔽2)12yes—
1647C2×C4C2×H(5,𝔽2)12yes—
1648C2×C4#58512yes—
1649C2×C4#58512yes—
1650C2×C4#58512yes—
1651C2×C4#58512yes—
1652C2×C4#58512yes—
1653C22—42no—
1654C22—41no—
1655C22—42no—
1656C22—41no—
1657C22—44no—
1658C22—42no—
1659C22—41no—
1660C22—41no—
1661C22—44no—
1662C22—42no—
1663C22—41no—
1664C22—44no—
1665C22—42no—
1666C22—42no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—42no—
1671C22—42no—
1672C22—44no—
1673C22—41no—
1674C22—41no—
1675C22—42no—
1676C22—44no—
1677C22—42no—
1678C22—42no—
1679C22—44no—
1680C22—41no—
1681C22—41no—
1682C22—42no—
1683C22—42no—
1684C22—41no—
1685C22—42no—
1686C22—44no—
1687C22—41no—
1688C22C22×H(5,𝔽2)11yescharacteristic
1689C22C2×#58511yescharacteristic
1690C22C2×#58511yescharacteristic
1691C22C2×#58511yescharacteristic
1692C22C2×#58511yescharacteristic
1693C22C2×#58511yescharacteristic
1694C22H(7,𝔽2)11yescharacteristic
1695C4—22no—
1696C4—22no—
1697C4—41no—
1698C4—41no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—41no—
1703C4—41no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—41no—
1708C4—44no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4—41no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—41no—
1718C4—41no—
1719C4—42no—
1720C4—44no—
1721C4—44no—
1722C4—42no—
1723C4#354014yes—
1724C4#355114yes—
1725C2—82no—
1726C2—81no—
1727C2—82no—
1728C2—81no—
1729C2—84no—
1730C2C2×#354011yescharacteristic
1731C2C2×#355111yescharacteristic
1732C2#6284011yescharacteristic
1733C2#6295711yescharacteristic
1734C2#6296611yescharacteristic
1735C2#6296611yescharacteristic
1736C2#6303611yescharacteristic
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. #59419C2semidirect
2. #59242C2semidirect
3. #59217C2semidirect
4. #56022C2semidirect
5. #55333C2semidirect
6. #55097C2semidirect
7. #53128C2semidirect
8. #53060C2semidirect
9. #49990C2semidirect
10. #46084C2semidirect
11. #45595C2semidirect
12. #45408C2semidirect
13. #45150C2semidirect
14. #42761C2semidirect
15. #42760C2semidirect
16. #42751C2semidirect
17. #42709C2semidirect
18. #40033C2semidirect
19. #39725C2semidirect
20. #39725C2semidirect
21. #39240C2semidirect
22. #39197C2semidirect
23. #38977C2semidirect
24. #38909C2semidirect
25. #38118C2semidirect
26. #37641C2semidirect
27. #37372C2semidirect
28. #37356C2semidirect
29. #36590C2semidirect
30. #36410C2semidirect
31. #36211C2semidirect
32. #35189C2semidirect
33. #35186C2semidirect
34. #34919C2semidirect
35. #34720C2semidirect

Maximal subgroups

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

subgroupindex
#594192
#592422
#592172
#560222
#553332
#550972
#531282
#530602
#499902
#460842
#455952
#454082
#451502
#427612
#427602
#427512
#427092
#400332
#397252
#392402
#391972
#389772
#389092
#381182
#376412
#373722
#373562
#365902
#364102
#362112
#351892
#351862
#349192
#347202