Finite Group Databasebeta

← #8467087

Subgroups — #8467087

Order 512.

4521 conjugacy classes of subgroups.

The subgroup lattice has 1688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59435C211yesmaximal, characteristic, complemented
2#59067C211yesmaximal, characteristic, complemented
3#59039C211yesmaximal, characteristic, complemented
4#57079C214yesmaximal, complemented
5#55362C214yesmaximal, complemented
6#55089C214yesmaximal, complemented
7#53066C212yesmaximal, complemented
8#53062C212yesmaximal, complemented
9#48002C214yesmaximal, complemented
10#46063C212yesmaximal, complemented
11#45640C212yesmaximal, complemented
12#45406C212yesmaximal, complemented
13#45221C212yesmaximal, complemented
14#42906C212yesmaximal, complemented
15#42873C212yesmaximal, complemented
16#42784C212yesmaximal, complemented
17#42783C212yesmaximal, complemented
18#40072C212yesmaximal, complemented
19#39985C212yesmaximal, complemented
20#39737C211yesmaximal, characteristic, complemented
21#39599C211yesmaximal, characteristic, complemented
22#39285C212yesmaximal, complemented
23#39147C211yesmaximal, characteristic, complemented
24#38987C211yesmaximal, characteristic, complemented
25#38119C212yesmaximal, complemented
26#37640C211yesmaximal, characteristic, complemented
27#37373C212yesmaximal, complemented
28#37329C212yesmaximal, complemented
29#36583C211yesmaximal, characteristic, complemented
30#36410C211yesmaximal, characteristic, complemented
31#36150C211yesmaximal, characteristic, complemented
32#35208C211yesmaximal, characteristic, complemented
33#35200C211yesmaximal, characteristic, complemented
34#34898C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2863C2212yes—
43#2859C2212yes—
44#2858C2211yescharacteristic
45#2858C2212yes—
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2854C2212yes—
49#2851C2212yes—
50#2851C2212yes—
51#2837C2214yes—
52#2829C2214yes—
53#2829C2214yes—
54#2829C2214yes—
55#2828C2214yes—
56#2827C2214yes—
57#2820C2214yes—
58#2813C2214yes—
59#2803C2214yes—
60#2803C2214yes—
61#2800C2214yes—
62#2800C2214yes—
63#2800C2214yes—
64#2797C2214yes—
65#2796C2214yes—
66#2795C2214yes—
67#2793C2214yes—
68#2786C2214yes—
69#2780C2214yes—
70#2780C2214yes—
71#2777C2214yes—
72#2775C2214yes—
73#2772C2214yes—
74#2772C2214yes—
75#2770C2214yes—
76#2770C2214yes—
77#2761C2214yes—
78#2757C2214yes—
79#2757C2214yes—
80#2757C2214yes—
81#2756C2214yes—
82#2756C2214yes—
83#2753C2214yes—
84#2748C2214yes—
85#2747C2214yes—
86#2747C2214yes—
87#2741C2214yes—
88#2740C2214yes—
89#2740C2214yes—
90#2738C2214yes—
91#2732C2214yes—
92#2726C2214yes—
93#2723C2214yes—
94#2720C2214yes—
95#2718C2214yes—
96#2711C2214yes—
97#2707C2214yes—
98#2705C2214yes—
99#2705C2214yes—
100#2704C2214yes—
101#2701C2214yes—
102#2701C2214yes—
103#2694C2214yes—
104#2691C2214yes—
105#2690C2214yes—
106#2686C2214yes—
107#2680C2214yes—
108#2667C2214yes—
109#2666C2214yes—
110#2663C2214yes—
111#2651C2214yes—
112#2649C2214yes—
113#2644C2214yes—
114#2644C2212yes—
115#2644C2212yes—
116#2638C2214yes—
117#2629C2212yes—
118#2624C2212yes—
119#2624C2212yes—
120#2620C2212yes—
121#2620C2212yes—
122#2620C2212yes—
123#2616C2214yes—
124#2608C2214yes—
125#2604C2214yes—
126#2599C2214yes—
127#2595C2214yes—
128#2584C2212yes—
129#2582C2212yes—
130#2582C2211yescharacteristic
131#2577C2212yes—
132#2575C2212yes—
133#2573C2214yes—
134#2571C2212yes—
135#2570C2211yescharacteristic
136#2569C2214yes—
137#2569C2214yes—
138#2567C2211yescharacteristic
139#2567C2211yescharacteristic
140#2567C2211yescharacteristic
141#2566C2212yes—
142#2565C2211yescharacteristic
143#2563C2211yescharacteristic
144#2562C2212yes—
145#2562C2211yescharacteristic
146#2560C2214yes—
147#2552C2211yescharacteristic
148#2552C2212yes—
149#2548C2211yescharacteristic
150#2548C2211yescharacteristic
151#2548C2212yes—
152#2547C2212yes—
153#2547C2212yes—
154#2547C2211yescharacteristic
155#2547C2212yes—
156#2546C2211yescharacteristic
157#2546C2212yes—
158#2545C2212yes—
159#2542C2212yes—
160#2540C2212yes—
161#2538C2212yes—
162#2538C2212yes—
163#2537C2212yes—
164#2536C2211yescharacteristic
165#2531C2214yes—
166#2530C2214yes—
167#2530C2214yes—
168#2524C2212yes—
169#2518C2214yes—
170#2517C2214yes—
171#2513C2212yes—
172#2513C2212yes—
173#2512C2212yes—
174#2511C2212yes—
175#2511C2212yes—
176#2507C2212yes—
177#2506C2212yes—
178#2499C2212yes—
179#2497C2212yes—
180#2496C2211yescharacteristic
181#2496C2212yes—
182#2495C2212yes—
183#2495C2211yescharacteristic
184#2490C2212yes—
185#2490C2212yes—
186#2490C2214yes—
187#2490C2212yes—
188#2490C2214yes—
189#2490C2212yes—
190#2488C2214yes—
191#2485C2212yes—
192#2485C2212yes—
193#2485C2212yes—
194#2477C2212yes—
195#2476C2214yes—
196#2475C2212yes—
197#2468C2212yes—
198#2464C2214yes—
199#2463C2212yes—
200#2462C2214yes—
201#2462C2214yes—
202#2460C2212yes—
203#2454C2212yes—
204#2454C2212yes—
205#2453C2212yes—
206#2453C2212yes—
207#2452C2211yescharacteristic
208#2451C2212yes—
209#2448C2212yes—
210#2448C2212yes—
211#2448C2212yes—
212#2448C2212yes—
213#2447C2212yes—
214#2446C2211yescharacteristic
215#2446C2212yes—
216#2445C2212yes—
217#2445C2212yes—
218#2441C2212yes—
219#2441C2212yes—
220#2441C2212yes—
221#2439C2211yescharacteristic
222#2432C2212yes—
223#2432C2211yescharacteristic
224#2431C2212yes—
225#2430C2214yes—
226#2429C2212yes—
227#2429C2212yes—
228#2429C2212yes—
229#2428C2212yes—
230#2427C2212yes—
231#2427C2211yescharacteristic
232#2426C2212yes—
233#2426C2212yes—
234#2426C2212yes—
235#2423C2212yes—
236#2423C2211yescharacteristic
237#2422C2212yes—
238#2422C2212yes—
239#2422C2212yes—
240#2421C2211yescharacteristic
241#2421C2211yescharacteristic
242#2420C2212yes—
243#2415C2211yescharacteristic
244#2414C2212yes—
245#2414C2212yes—
246#2407C2212yes—
247#2407C2212yes—
248#2407C2211yescharacteristic
249#2407C2212yes—
250#2402C2212yes—
251#2398C2212yes—
252#2395C2212yes—
253#2392C2212yes—
254#2376C2214yes—
255#2367C2212yes—
256#2367C2212yes—
257#2366C2211yescharacteristic
258#2365C2211yescharacteristic
259#2363C2212yes—
260#2363C2212yes—
261#2362C2212yes—
262#2356C2212yes—
263#2354C2211yescharacteristic
264Q8×C4⋊C4C2211yescharacteristic
265Q8×C4⋊C4C2212yes—
266#2349C2212yes—
267#2346C2212yes—
268#2341C2212yes—
269#2341C2212yes—
270#2341C2212yes—
271#2339C2212yes—
272#2330C2212yes—
273#2329C2214yes—
274#2327C2212yes—
275#2326C2212yes—
276#2326C2212yes—
277#2323C2212yes—
278#2323C2212yes—
279#2320C2212yes—
280#2319C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×#126C2212yes—
284C4×#124C2211yescharacteristic
285C4×#124C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×#121C2211yescharacteristic
291#2298C2212yes—
292#2297C2212yes—
293#2295C2211yescharacteristic
294#2290C2212yes—
295#2285C2211yescharacteristic
296#2283C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302#557—44no—
303#550—44no—
304#533—44no—
305#533—44no—
306#532—44no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C4×#41—44no—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2312yes—
413#399C2314yes—
414#398C2312yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2312yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2312yes—
509#394C2314yes—
510#393C2312yes—
511#393C2314yes—
512#393C2312yes—
513#392C2312yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#391C2314yes—
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#391C2312yes—
535#391C2311yescharacteristic
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2314yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2314yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2314yes—
602#389C2312yes—
603#389C2314yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2312yes—
682#387C2314yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#384C2312yes—
724#384C2311yescharacteristic
725#384C2312yes—
726#384C2314yes—
727#383C2312yes—
728#383C2314yes—
729#383C2312yes—
730#383C2314yes—
731#382C2311yescharacteristic
732#382C2312yes—
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2311yescharacteristic
736#382C2311yescharacteristic
737#382C2314yes—
738#382C2314yes—
739#381C2314yes—
740#381C2314yes—
741#381C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2314yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2312yes—
811#376C2312yes—
812#376C2314yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—42no—
819C2×#41—42no—
820C2×#41—42no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—82no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C4⋊Q8—24no—
855C4⋊Q8—24no—
856C4⋊Q8—42no—
857C4⋊Q8—44no—
858C4⋊Q8—42no—
859C4⋊Q8—44no—
860#127—24no—
861#127—44no—
862#126—44no—
863#126—84no—
864#125—44no—
865#125—42no—
866#125—44no—
867#125—44no—
868#125—44no—
869#125—48no—
870#125—84no—
871#124—44no—
872#124—44no—
873#124—44no—
874#124—44no—
875#124—44no—
876#124—42no—
877#124—44no—
878#123—48no—
879#123—84no—
880#123—84no—
881C22⋊Q8—24no—
882C22⋊Q8—24no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—42no—
886C22⋊Q8—44no—
887C22⋊Q8—48no—
888C22⋊Q8—42no—
889C22⋊Q8—44no—
890C22⋊Q8—42no—
891C22⋊Q8—44no—
892C22⋊Q8—84no—
893#121—48no—
894#121—44no—
895#121—42no—
896#121—44no—
897#121—44no—
898#121—44no—
899#121—44no—
900#121—84no—
901#121—82no—
902C4×Q8—24no—
903C4×Q8—24no—
904C4×Q8—24no—
905C4×Q8—24no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—42no—
909C4×Q8—44no—
910C4×Q8—42no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—82no—
916C4×D4—24no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—42no—
928C4×D4—44no—
929#117—44no—
930#117—44no—
931#117—44no—
932#117—44no—
933#117—42no—
934#117—44no—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
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×C42—24no—
1066C2×C42—24no—
1067C2×C42—44no—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2414yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24C2512yes—
1173C24C2511yescharacteristic
1174C24C2511yescharacteristic
1175C24C2514yes—
1176#41—416no—
1177#41—816no—
1178#41—816no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q82−1+414yes—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—42no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—28no—
1249C22×C4—28no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—42no—
1260C22×C4—44no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2514yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—22no—
1373C22⋊C4—24no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—41no—
1383C22⋊C4—44no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—41no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—22no—
1442C42—24no—
1443C42—22no—
1444C42—22no—
1445C42—42no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—41no—
1450C42—42no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—41no—
1455C42—44no—
1456C42—42no—
1457C42—42no—
1458C42H(5,𝔽2)14yes—
1459C23—22no—
1460C23—21no—
1461C23—21no—
1462C23—24no—
1463C23—21no—
1464C23—21no—
1465C23—22no—
1466C23—24no—
1467C23—21no—
1468C23—22no—
1469C23—24no—
1470C23—21no—
1471C23—21no—
1472C23—22no—
1473C23—24no—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—24no—
1478C23—22no—
1479C23—24no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—22no—
1484C23—21no—
1485C23—24no—
1486C23—21no—
1487C23C2611yescharacteristic
1488Q8—28no—
1489Q8—48no—
1490Q8—44no—
1491Q8—48no—
1492Q8—44no—
1493Q8—84no—
1494D4—44no—
1495D4—48no—
1496D4—48no—
1497D4—44no—
1498D4—48no—
1499D4—88no—
1500D4—84no—
1501D4—84no—
1502D4—88no—
1503D4—164no—
1504D4—164no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—48no—
1596C2×C4—82no—
1597C2×C4—88no—
1598C2×C4—88no—
1599C2×C4—84no—
1600C2×C4—164no—
1601C2×C4C2×H(5,𝔽2)12yes—
1602C2×C4C2×H(5,𝔽2)12yes—
1603C2×C4C2×H(5,𝔽2)12yes—
1604C2×C4C2×2−1+414yes—
1605C2×C4C2×2−1+412yes—
1606C2×C4#58512yes—
1607C2×C4#58512yes—
1608C2×C4#58512yes—
1609C2×C4#58512yes—
1610C22—42no—
1611C22—41no—
1612C22—41no—
1613C22—44no—
1614C22—42no—
1615C22—41no—
1616C22—41no—
1617C22—44no—
1618C22—41no—
1619C22—41no—
1620C22—42no—
1621C22—44no—
1622C22—41no—
1623C22—41no—
1624C22—42no—
1625C22—44no—
1626C22—41no—
1627C22—44no—
1628C22—42no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—44no—
1633C22—42no—
1634C22—44no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22C22×H(5,𝔽2)11yescharacteristic
1639C22C22×2−1+411yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22C2×#58511yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22H(7,𝔽2)11yescharacteristic
1645C4—24no—
1646C4—22no—
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—42no—
1651C4—42no—
1652C4—44no—
1653C4—41no—
1654C4—41no—
1655C4—42no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—41no—
1662C4—41no—
1663C4—44no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—41no—
1668C4—42no—
1669C4—42no—
1670C4—41no—
1671C4—42no—
1672C4—42no—
1673C4—44no—
1674C4#353914yes—
1675C4#356114yes—
1676C2—82no—
1677C2—81no—
1678C2—81no—
1679C2—84no—
1680C2C2×#353911yescharacteristic
1681C2C2×#356111yescharacteristic
1682C2#6284011yescharacteristic
1683C2#6292411yescharacteristic
1684C2#6295211yescharacteristic
1685C2#6296611yescharacteristic
1686C2#6303411yescharacteristic
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. #59435C2semidirect
2. #59067C2semidirect
3. #59039C2semidirect
4. #57079C2semidirect
5. #55362C2semidirect
6. #55089C2semidirect
7. #53066C2semidirect
8. #53062C2semidirect
9. #48002C2semidirect
10. #46063C2semidirect
11. #45640C2semidirect
12. #45406C2semidirect
13. #45221C2semidirect
14. #42906C2semidirect
15. #42873C2semidirect
16. #42784C2semidirect
17. #42783C2semidirect
18. #40072C2semidirect
19. #39985C2semidirect
20. #39737C2semidirect
21. #39599C2semidirect
22. #39285C2semidirect
23. #39147C2semidirect
24. #38987C2semidirect
25. #38119C2semidirect
26. #37640C2semidirect
27. #37373C2semidirect
28. #37329C2semidirect
29. #36583C2semidirect
30. #36410C2semidirect
31. #36150C2semidirect
32. #35208C2semidirect
33. #35200C2semidirect
34. #34898C2semidirect
35. #34720C2semidirect

Maximal subgroups

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

subgroupindex
#594352
#590672
#590392
#570792
#553622
#550892
#530662
#530622
#480022
#460632
#456402
#454062
#452212
#429062
#428732
#427842
#427832
#400722
#399852
#397372
#395992
#392852
#391472
#389872
#381192
#376402
#373732
#373292
#365832
#364102
#361502
#352082
#352002
#348982
#347202