Finite Group Databasebeta

← #8657212

Subgroups — #8657212

Order 512.

5773 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59807C212yesmaximal, complemented
2#58590C212yesmaximal, complemented
3#57211C214yesmaximal, complemented
4#55265C214yesmaximal, complemented
5#52967C211yesmaximal, characteristic, complemented
6#49845C214yesmaximal, complemented
7#49763C214yesmaximal, complemented
8#48511C214yesmaximal, complemented
9#47659C212yesmaximal, complemented
10#47252C214yesmaximal, complemented
11#46338C211yesmaximal, characteristic, complemented
12#45701C212yesmaximal, complemented
13#45115C211yesmaximal, characteristic, complemented
14#44871C212yesmaximal, complemented
15#43198C212yesmaximal, complemented
16#42992C211yesmaximal, characteristic, complemented
17#42643C212yesmaximal, complemented
18#42011C212yesmaximal, complemented
19#40008C212yesmaximal, complemented
20#39537C212yesmaximal, complemented
21#39463C212yesmaximal, complemented
22#39334C212yesmaximal, complemented
23#38951C211yesmaximal, characteristic, complemented
24#37272C212yesmaximal, complemented
25#36291C212yesmaximal, complemented
26#35750C211yesmaximal, characteristic, complemented
27#35513C212yesmaximal, complemented
28#35046C212yesmaximal, complemented
29#34925C211yesmaximal, characteristic, complemented
30C22×H(5,𝔽2)C2211yescharacteristic
31C2×#552C2212yescomplemented
32C2×#547C2211yescharacteristic
33C2×#547C2211yescharacteristic, complemented
34C2×#546C2212yes—
35C2×#537C2212yes—
36C2×#537C2211yescharacteristic, complemented
37C2×#535C2212yes—
38C2×#532C2212yes—
39C2×#532C2212yescomplemented
40#2862C2211yescharacteristic, complemented
41#2860C2212yescomplemented
42#2855C2212yescomplemented
43#2854C2212yescomplemented
44#2851C2212yescomplemented
45#2850C2212yescomplemented
46#2837C2214yescomplemented
47#2832C2212yescomplemented
48#2828C2212yescomplemented
49#2828C2214yescomplemented
50#2813C2212yescomplemented
51#2813C2214yescomplemented
52#2812C2212yescomplemented
53#2799C2212yescomplemented
54#2797C2214yescomplemented
55#2795C2212yescomplemented
56#2781C2214yescomplemented
57#2778C2214yescomplemented
58#2778C2214yescomplemented
59#2771C2214yescomplemented
60#2756C2214yescomplemented
61#2756C2214yescomplemented
62#2749C2214yescomplemented
63#2749C2214yescomplemented
64#2740C2214yescomplemented
65#2736C2212yescomplemented
66#2735C2214yescomplemented
67#2733C2212yescomplemented
68#2730C2214yescomplemented
69#2729C2214yescomplemented
70#2723C2214yescomplemented
71#2720C2214yescomplemented
72#2714C2214yescomplemented
73#2714C2214yescomplemented
74#2714C2214yescomplemented
75#2713C2214yescomplemented
76#2711C2214yescomplemented
77#2711C2214yescomplemented
78#2709C2214yescomplemented
79#2709C2214yescomplemented
80#2708C2214yescomplemented
81#2706C2214yescomplemented
82#2706C2214yescomplemented
83#2703C2214yescomplemented
84#2701C2214yescomplemented
85#2700C2214yescomplemented
86#2699C2214yescomplemented
87#2699C2214yescomplemented
88#2697C2214yescomplemented
89#2697C2214yescomplemented
90#2694C2214yescomplemented
91#2693C2212yescomplemented
92#2688C2214yescomplemented
93#2688C2214yescomplemented
94#2686C2214yescomplemented
95#2685C2214yescomplemented
96#2682C2214yescomplemented
97#2678C2214yescomplemented
98#2674C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2671C2214yescomplemented
102#2670C2214yescomplemented
103#2669C2212yescomplemented
104#2669C2214yescomplemented
105#2668C2214yescomplemented
106#2668C2214yescomplemented
107#2663C2212yescomplemented
108#2661C2214yescomplemented
109#2653C2214yescomplemented
110#2652C2214yescomplemented
111#2636C2214yescomplemented
112#2635C2214yescomplemented
113#2627C2212yescomplemented
114#2624C2214yescomplemented
115#2620C2212yescomplemented
116#2616C2211yescharacteristic
117#2616C2212yescomplemented
118#2616C2211yescharacteristic, complemented
119#2615C2212yescomplemented
120#2613C2212yes—
121#2595C2214yescomplemented
122#2591C2212yescomplemented
123#2589C2214yescomplemented
124#2578C2214yescomplemented
125#2576C2214yescomplemented
126#2576C2214yescomplemented
127#2572C2212yescomplemented
128#2562C2212yescomplemented
129#2559C2214yescomplemented
130#2557C2214yescomplemented
131#2557C2214yescomplemented
132#2555C2211yescharacteristic, complemented
133#2555C2211yescharacteristic, complemented
134#2555C2212yescomplemented
135#2555C2214yescomplemented
136#2554C2214yescomplemented
137#2551C2211yescharacteristic, complemented
138#2547C2211yescharacteristic, complemented
139#2542C2211yescharacteristic, complemented
140#2541C2212yescomplemented
141#2540C2212yescomplemented
142#2539C2214yescomplemented
143#2537C2211yescharacteristic, complemented
144#2536C2212yescomplemented
145#2535C2212yescomplemented
146#2523C2212yescomplemented
147#2521C2214yescomplemented
148#2518C2214yescomplemented
149#2518C2214yescomplemented
150#2516C2214yescomplemented
151#2514C2212yescomplemented
152#2513C2212yescomplemented
153#2510C2214yescomplemented
154#2504C2212yescomplemented
155#2503C2211yescharacteristic, complemented
156#2502C2212yescomplemented
157#2500C2214yescomplemented
158#2495C2212yescomplemented
159#2491C2212yescomplemented
160#2491C2212yescomplemented
161#2491C2212yescomplemented
162#2490C2212yescomplemented
163#2490C2212yescomplemented
164#2490C2214yescomplemented
165#2489C2212yescomplemented
166#2487C2211yescharacteristic, complemented
167#2487C2212yescomplemented
168#2486C2212yescomplemented
169#2485C2212yescomplemented
170#2480C2214yescomplemented
171#2476C2214yescomplemented
172#2474C2214yescomplemented
173#2472C2214yescomplemented
174#2472C2214yescomplemented
175#2471C2214yescomplemented
176#2467C2214yescomplemented
177#2459C2214yescomplemented
178#2454C2212yescomplemented
179#2448C2212yescomplemented
180#2439C2212yescomplemented
181#2435C2214yes—
182#2435C2211yescharacteristic
183#2433C2214yes—
184#2432C2212yes—
185#2432C2214yes—
186#2431C2214yes—
187#2431C2212yescomplemented
188#2431C2214yescomplemented
189#2430C2212yes—
190#2429C2212yescomplemented
191#2428C2214yescomplemented
192#2428C2212yescomplemented
193#2428C2212yescomplemented
194#2426C2212yescomplemented
195#2424C2214yescomplemented
196#2420C2212yescomplemented
197#2418C2214yescomplemented
198#2417C2212yescomplemented
199#2417C2212yescomplemented
200#2416C2212yescomplemented
201#2416C2212yescomplemented
202#2415C2212yescomplemented
203#2415C2212yescomplemented
204#2414C2212yescomplemented
205#2414C2212yescomplemented
206#2412C2214yescomplemented
207#2411C2214yescomplemented
208#2410C2214yes—
209#2410C2214yes—
210#2410C2214yes—
211#2410C2214yes—
212#2410C2214yes—
213#2408C2212yes—
214#2408C2211yescharacteristic
215#2408C2212yes—
216#2408C2212yes—
217#2408C2212yes—
218#2407C2212yes—
219#2407C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2407C2212yescomplemented
224#2406C2212yes—
225#2405C2214yes—
226#2404C2214yescomplemented
227#2388C2211yescharacteristic
228#2388C2212yescomplemented
229#2388C2211yescharacteristic, complemented
230C2×#394C2212yes—
231#2375C2212yescomplemented
232#2375C2214yescomplemented
233#2363C2212yescomplemented
234#2358C2214yescomplemented
235#2352C2212yescomplemented
236#2352C2212yescomplemented
237#2345C2212yescomplemented
238#2342C2214yescomplemented
239#2342C2214yescomplemented
240#2341C2211yescharacteristic, complemented
241#2339C2211yescharacteristic
242D4×C22⋊C4C2212yes—
243#2337C2214yescomplemented
244#2334C2214yescomplemented
245#2333C2214yescomplemented
246#2318C2214yescomplemented
247#2311C2212yes—
248#2311C2212yescomplemented
249#2311C2212yescomplemented
250C4×#127C2211yescharacteristic, complemented
251C4×C22⋊Q8C2212yescomplemented
252C4×#121C2212yescomplemented
253C4×#121C2212yescomplemented
254C4×#121C2212yescomplemented
255#2297C2212yes—
256#2293C2211yescharacteristic, complemented
257C2×#390C2212yes—
258C42×D4C2212yescomplemented
259C2×H(5,𝔽2)—44no—
260C2×H(5,𝔽2)—48no—
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2312yes—
265C22×#41C2311yescharacteristic
266C22×#41C2312yes—
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C23×D4C2312yes—
270C23×D4C2312yes—
271C23×D4C2314yes—
272C23×D4C2311yescharacteristic
273#552—48no—
274#547—44no—
275#547—44no—
276#546—48no—
277#537—48no—
278#537—44no—
279#535—48no—
280#532—48no—
281#532—48no—
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2312yes—
285C2×C4⋊Q8C2312yes—
286C2×#127C2311yescharacteristic
287C2×#127C2312yes—
288C2×#127C2314yes—
289C2×#127C2312yes—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#125C2312yes—
293C2×#125C2314yes—
294C2×#124C2314yes—
295C2×#124C2312yes—
296C2×#124C2314yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#123C2312yes—
303C2×#123C2312yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2311yescharacteristic
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2314yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2312yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×C4×Q8C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2314yes—
371C2×#117C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C22⋊C4C2314yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2314yes—
380C22×C42C2312yes—
381C22×C42C2312yes—
382#401C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2312yes—
396#399C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#397C2312yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#395C2311yescharacteristic
428#395C2312yes—
429#395C2312yes—
430#395C2314yes—
431#395C2311yescharacteristic
432#395C2312yes—
433#394C2314yes—
434#394C2311yescharacteristic
435#394C2312yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2312yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2312yes—
444#394C2314yes—
445#394C2311yescharacteristic
446#394C2312yes—
447#394C2314yes—
448#394C2312yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2312yes—
466#394C2312yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2311yescharacteristic
480#393C2311yescharacteristic
481#393C2312yes—
482#392C2312yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2311yescharacteristic
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2312yes—
496#392C2312yes—
497#392C2312yes—
498#392C2312yes—
499#392C2311yescharacteristic
500#392C2312yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2312yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#384C2311yescharacteristic
657#384C2312yes—
658#383C2314yes—
659#383C2314yes—
660#382C2314yes—
661#382C2314yes—
662#382C2312yes—
663#382C2312yes—
664#381C2314yes—
665#381C2314yes—
666#381C2314yes—
667#381C2312yes—
668#381C2314yes—
669#380C2311yescharacteristic
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2314yes—
677#380C2312yes—
678#380C2312yes—
679#380C2314yes—
680#380C2312yes—
681#380C2311yescharacteristic
682#380C2312yes—
683#380C2312yes—
684#380C2314yes—
685#380C2314yes—
686#380C2312yes—
687#380C2312yes—
688#379C2314yes—
689#379C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2311yescharacteristic
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2311yescharacteristic
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C2×#95C2312yes—
722C43C2311yescharacteristic
723C25C2414yes—
724C25C2412yes—
725H(5,𝔽2)—464no—
726C2×#41—24no—
727C2×#41—24no—
728C2×#41—28no—
729C2×#41—28no—
730C2×#41—28no—
731C2×#41—42no—
732C2×#41—44no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—42no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—44no—
739C2×#41—44no—
740C2×#41—44no—
741C2×#41—48no—
742C2×#41—44no—
743C2×#41—44no—
744C2×#41—82no—
745C22×Q8C2411yescharacteristic
746C22×Q8C2411yescharacteristic
747C22×Q8C2411yescharacteristic
748C22×Q8C2412yes—
749C22×Q8C2412yes—
750C22×Q8C2411yescharacteristic
751C22×D4—28no—
752C22×D4—28no—
753C22×D4—44no—
754C22×D4—44no—
755C22×D4—42no—
756C22×D4—48no—
757C22×D4—44no—
758C22×D4—48no—
759C22×D4—48no—
760C22×D4—48no—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2411yescharacteristic
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2411yescharacteristic
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2411yescharacteristic
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2411yescharacteristic
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2411yescharacteristic
789C22×D4C2412yes—
790C22×D4C2412yes—
791C23×C4C2412yes—
792C23×C4C2411yescharacteristic
793C23×C4C2411yescharacteristic
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2414yes—
798C23×C4C2412yes—
799C23×C4C2412yes—
800C23×C4C2412yes—
801C23×C4C2412yes—
802C23×C4C2414yes—
803C23×C4C2414yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2414yes—
807C23×C4C2412yes—
808C4⋊Q8—42no—
809C4⋊Q8—42no—
810C4⋊Q8—44no—
811C4⋊Q8—44no—
812#127—42no—
813#127—44no—
814#127—44no—
815#127—48no—
816#126—48no—
817#126—48no—
818#125—44no—
819#125—48no—
820#124—44no—
821#124—44no—
822#124—44no—
823#124—48no—
824#124—48no—
825#124—44no—
826#124—44no—
827#124—82no—
828#123—48no—
829#123—44no—
830#123—44no—
831#123—48no—
832#123—48no—
833#123—84no—
834#123—84no—
835C22⋊Q8—28no—
836C22⋊Q8—44no—
837C22⋊Q8—44no—
838C22⋊Q8—44no—
839C22⋊Q8—44no—
840C22⋊Q8—48no—
841C22⋊Q8—44no—
842C22⋊Q8—42no—
843C22⋊Q8—42no—
844C22⋊Q8—44no—
845#121—28no—
846#121—28no—
847#121—48no—
848#121—44no—
849#121—44no—
850#121—44no—
851#121—44no—
852#121—48no—
853#121—44no—
854#121—44no—
855#121—44no—
856#121—44no—
857#121—48no—
858#121—44no—
859#121—44no—
860#121—44no—
861#121—44no—
862#121—44no—
863#121—44no—
864#121—48no—
865#121—44no—
866#121—44no—
867#121—48no—
868#121—48no—
869#121—44no—
870#121—84no—
871#120—48no—
872#120—44no—
873#120—48no—
874#120—48no—
875#120—48no—
876#120—48no—
877#120—84no—
878#120—84no—
879C4×Q8—44no—
880C4×D4—24no—
881C4×D4—28no—
882C4×D4—28no—
883C4×D4—28no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—42no—
892C4×D4—42no—
893C4×D4—48no—
894#117—48no—
895#117—44no—
896#117—44no—
897#117—82no—
898C2×C4⋊C4—28no—
899C2×C4⋊C4—42no—
900C2×C4⋊C4—44no—
901C2×C4⋊C4—44no—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C22⋊C4—48no—
942C2×C22⋊C4—48no—
943C2×C22⋊C4—48no—
944C2×C22⋊C4—84no—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C42—44no—
1019C2×C42—44no—
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037#95C2411yescharacteristic
1038#95C2412yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2411yescharacteristic
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2411yescharacteristic
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2411yescharacteristic
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082C24—28no—
1083C24—28no—
1084C24—44no—
1085C24—42no—
1086C24—44no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24—42no—
1093C24—42no—
1094C24C2511yescharacteristic
1095C24C2514yes—
1096C24C2512yes—
1097C24C2512yes—
1098C24C2511yescharacteristic
1099C24C2512yes—
1100C24C2512yes—
1101#41—416no—
1102#41—432no—
1103#41—416no—
1104#41—432no—
1105#41—816no—
1106#41—88no—
1107#41—88no—
1108#41—816no—
1109C2×Q8—24no—
1110C2×Q8—22no—
1111C2×Q8—24no—
1112C2×Q8—22no—
1113C2×Q8—24no—
1114C2×Q8—24no—
1115C2×Q8—24no—
1116C2×Q8—41no—
1117C2×Q8—41no—
1118C2×Q8—42no—
1119C2×Q8—42no—
1120C2×Q8—42no—
1121C2×Q8—42no—
1122C2×Q8—42no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—28no—
1126C2×D4—24no—
1127C2×D4—28no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—28no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—22no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—24no—
1148C2×D4—432no—
1149C2×D4—42no—
1150C2×D4—41no—
1151C2×D4—42no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—41no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—44no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—44no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—41no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—41no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—464no—
1208C2×D4—432no—
1209C2×D4—416no—
1210C2×D4H(5,𝔽2)14yes—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—28no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—28no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4H(5,𝔽2)18yes—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2514yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2514yes—
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—41no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—41no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C22⋊C4—24no—
1319C22⋊C4—28no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C42—24no—
1392C42—24no—
1393C42—24no—
1394C42—22no—
1395C42—22no—
1396C42—24no—
1397C42—42no—
1398C42—42no—
1399C42—42no—
1400C42—42no—
1401C42—44no—
1402C42—44no—
1403C42—44no—
1404C42—41no—
1405C42—42no—
1406C42—44no—
1407C42—44no—
1408C23—22no—
1409C23—24no—
1410C23—22no—
1411C23—22no—
1412C23—24no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—21no—
1423C23—21no—
1424C23—24no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—24no—
1429C23—24no—
1430C23—22no—
1431C23—24no—
1432C23—22no—
1433C23—24no—
1434C23—24no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—21no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—24no—
1447C23—22no—
1448C23—22no—
1449C23—416no—
1450C23—48no—
1451C23—88no—
1452C23—88no—
1453C23—88no—
1454C23—88no—
1455C23—164no—
1456C23—164no—
1457C23—162no—
1458C23—164no—
1459C23—162no—
1460C23—164no—
1461C23C2×H(5,𝔽2)14yes—
1462C23C2×H(5,𝔽2)14yes—
1463C23C2611yescharacteristic
1464Q8—44no—
1465Q8—44no—
1466Q8—44no—
1467Q8—84no—
1468Q8—84no—
1469Q8—82no—
1470D4—28no—
1471D4—48no—
1472D4—48no—
1473D4—416no—
1474D4—44no—
1475D4—44no—
1476D4—416no—
1477D4—48no—
1478D4—48no—
1479D4—48no—
1480D4—84no—
1481D4—84no—
1482D4—82no—
1483D4—84no—
1484D4—88no—
1485D4—84no—
1486D4—84no—
1487D4—88no—
1488D4—84no—
1489D4—84no—
1490D4—84no—
1491D4—84no—
1492D4—84no—
1493D4—82no—
1494D4—84no—
1495D4—164no—
1496D4—164no—
1497D4—164no—
1498D4—164no—
1499D4—164no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—216no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—48no—
1557C2×C4—416no—
1558C2×C4—48no—
1559C2×C4—44no—
1560C2×C4—48no—
1561C2×C4—44no—
1562C2×C4—48no—
1563C2×C4—84no—
1564C2×C4—84no—
1565C2×C4—88no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—84no—
1569C2×C4—88no—
1570C2×C4—162no—
1571C2×C4—164no—
1572C2×C4C2×H(5,𝔽2)14yes—
1573C2×C4C2×H(5,𝔽2)14yes—
1574C2×C4C2×H(5,𝔽2)12yes—
1575C2×C4#58512yes—
1576C2×C4#58514yes—
1577C22—24no—
1578C22—24no—
1579C22—24no—
1580C22—24no—
1581C22—24no—
1582C22—24no—
1583C22—42no—
1584C22—42no—
1585C22—44no—
1586C22—42no—
1587C22—42no—
1588C22—44no—
1589C22—41no—
1590C22—42no—
1591C22—42no—
1592C22—44no—
1593C22—41no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—44no—
1601C22—44no—
1602C22—42no—
1603C22—41no—
1604C22—41no—
1605C22—42no—
1606C22—44no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—44no—
1614C22—44no—
1615C22—44no—
1616C22—41no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—1616no—
1621C22—168no—
1622C22C22×H(5,𝔽2)11yescharacteristic
1623C22C22×H(5,𝔽2)12yes—
1624C22C2×#58512yes—
1625C22C2×#58511yescharacteristic
1626C22H(7,𝔽2)11yescharacteristic
1627C4—24no—
1628C4—22no—
1629C4—24no—
1630C4—41no—
1631C4—44no—
1632C4—42no—
1633C4—42no—
1634C4—44no—
1635C4—42no—
1636C4—44no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—44no—
1641C4—44no—
1642C4—41no—
1643C4—42no—
1644C4—41no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4#353214yes—
1649C2—44no—
1650C2—44no—
1651C2—81no—
1652C2—82no—
1653C2—82no—
1654C2—84no—
1655C2—81no—
1656C2C2×#353211yescharacteristic
1657C2#6283012yes—
1658C2#6291811yescharacteristic
1659C2#6295512yes—
1660C2#6302411yescharacteristic
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. #59807C2semidirect
2. #58590C2semidirect
3. #57211C2semidirect
4. #55265C2semidirect
5. #52967C2semidirect
6. #49845C2semidirect
7. #49763C2semidirect
8. #48511C2semidirect
9. #47659C2semidirect
10. #47252C2semidirect
11. #46338C2semidirect
12. #45701C2semidirect
13. #45115C2semidirect
14. #44871C2semidirect
15. #43198C2semidirect
16. #42992C2semidirect
17. #42643C2semidirect
18. #42011C2semidirect
19. #40008C2semidirect
20. #39537C2semidirect
21. #39463C2semidirect
22. #39334C2semidirect
23. #38951C2semidirect
24. #37272C2semidirect
25. #36291C2semidirect
26. #35750C2semidirect
27. #35513C2semidirect
28. #35046C2semidirect
29. #34925C2semidirect
31. C2×#552C22semidirect
33. C2×#547C22semidirect
36. C2×#537C22semidirect
39. C2×#532C22semidirect
40. #2862C22semidirect
41. #2860C22semidirect
42. #2855C22semidirect
43. #2854C22semidirect
44. #2851C22semidirect
45. #2850C22semidirect
46. #2837C22semidirect
47. #2832C22semidirect
48. #2828C22semidirect
49. #2828C22semidirect
50. #2813C22semidirect
51. #2813C22semidirect
52. #2812C22semidirect
53. #2799C22semidirect
54. #2797C22semidirect
55. #2795C22semidirect
56. #2781C22semidirect
57. #2778C22semidirect
58. #2778C22semidirect
59. #2771C22semidirect
60. #2756C22semidirect
61. #2756C22semidirect
62. #2749C22semidirect
63. #2749C22semidirect
64. #2740C22semidirect
65. #2736C22semidirect
66. #2735C22semidirect
67. #2733C22semidirect
68. #2730C22semidirect
69. #2729C22semidirect
70. #2723C22semidirect
71. #2720C22semidirect
72. #2714C22semidirect
73. #2714C22semidirect
74. #2714C22semidirect
75. #2713C22semidirect
76. #2711C22semidirect
77. #2711C22semidirect
78. #2709C22semidirect
79. #2709C22semidirect
80. #2708C22semidirect
81. #2706C22semidirect
82. #2706C22semidirect
83. #2703C22semidirect
84. #2701C22semidirect
85. #2700C22semidirect
86. #2699C22semidirect
87. #2699C22semidirect
88. #2697C22semidirect
89. #2697C22semidirect
90. #2694C22semidirect
91. #2693C22semidirect
92. #2688C22semidirect
93. #2688C22semidirect
94. #2686C22semidirect
95. #2685C22semidirect
96. #2682C22semidirect
97. #2678C22semidirect
98. #2674C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2671C22semidirect
102. #2670C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2668C22semidirect
106. #2668C22semidirect
107. #2663C22semidirect
108. #2661C22semidirect
109. #2653C22semidirect
110. #2652C22semidirect
111. #2636C22semidirect
112. #2635C22semidirect
113. #2627C22semidirect
114. #2624C22semidirect
115. #2620C22semidirect
117. #2616C22semidirect
118. #2616C22semidirect
119. #2615C22semidirect
121. #2595C22semidirect
122. #2591C22semidirect
123. #2589C22semidirect
124. #2578C22semidirect
125. #2576C22semidirect
126. #2576C22semidirect
127. #2572C22semidirect
128. #2562C22semidirect
129. #2559C22semidirect
130. #2557C22semidirect
131. #2557C22semidirect
132. #2555C22semidirect
133. #2555C22semidirect
134. #2555C22semidirect
135. #2555C22semidirect
136. #2554C22semidirect
137. #2551C22semidirect
138. #2547C22semidirect
139. #2542C22semidirect
140. #2541C22semidirect
141. #2540C22semidirect
142. #2539C22semidirect
143. #2537C22semidirect
144. #2536C22semidirect
145. #2535C22semidirect
146. #2523C22semidirect
147. #2521C22semidirect
148. #2518C22semidirect
149. #2518C22semidirect
150. #2516C22semidirect
151. #2514C22semidirect
152. #2513C22semidirect
153. #2510C22semidirect
154. #2504C22semidirect
155. #2503C22semidirect
156. #2502C22semidirect
157. #2500C22semidirect
158. #2495C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2490C22semidirect
163. #2490C22semidirect
164. #2490C22semidirect
165. #2489C22semidirect
166. #2487C22semidirect
167. #2487C22semidirect
168. #2486C22semidirect
169. #2485C22semidirect
170. #2480C22semidirect
171. #2476C22semidirect
172. #2474C22semidirect
173. #2472C22semidirect
174. #2472C22semidirect
175. #2471C22semidirect
176. #2467C22semidirect
177. #2459C22semidirect
178. #2454C22semidirect
179. #2448C22semidirect
180. #2439C22semidirect
187. #2431C22semidirect
188. #2431C22semidirect
190. #2429C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2426C22semidirect
195. #2424C22semidirect
196. #2420C22semidirect
197. #2418C22semidirect
198. #2417C22semidirect
199. #2417C22semidirect
200. #2416C22semidirect
201. #2416C22semidirect
202. #2415C22semidirect
203. #2415C22semidirect
204. #2414C22semidirect
205. #2414C22semidirect
206. #2412C22semidirect
207. #2411C22semidirect
223. #2407C22semidirect
226. #2404C22semidirect
228. #2388C22semidirect
229. #2388C22semidirect
231. #2375C22semidirect
232. #2375C22semidirect
233. #2363C22semidirect
234. #2358C22semidirect
235. #2352C22semidirect
236. #2352C22semidirect
237. #2345C22semidirect
238. #2342C22semidirect
239. #2342C22semidirect
240. #2341C22semidirect
243. #2337C22semidirect
244. #2334C22semidirect
245. #2333C22semidirect
246. #2318C22semidirect
248. #2311C22semidirect
249. #2311C22semidirect
250. C4×#127C22semidirect
251. C4×C22⋊Q8C22semidirect
252. C4×#121C22semidirect
253. C4×#121C22semidirect
254. C4×#121C22semidirect
256. #2293C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598072
#585902
#572112
#552652
#529672
#498452
#497632
#485112
#476592
#472522
#463382
#457012
#451152
#448712
#431982
#429922
#426432
#420112
#400082
#395372
#394632
#393342
#389512
#372722
#362912
#357502
#355132
#350462
#349252