Finite Group Databasebeta

← #8324916

Subgroups — #8324916

Order 512.

5864 conjugacy classes of subgroups.

The subgroup lattice has 1645 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59919C212yesmaximal, complemented
2#59124C212yesmaximal, complemented
3#59080C212yesmaximal, complemented
4#58890C212yesmaximal, complemented
5#58010C214yesmaximal, complemented
6#57151C214yesmaximal, complemented
7#54852C212yesmaximal, complemented
8#53613C214yesmaximal, complemented
9#53106C212yesmaximal, complemented
10#52421C212yesmaximal, complemented
11#52288C211yesmaximal, characteristic, complemented
12#49546C214yesmaximal, complemented
13#48106C214yesmaximal, complemented
14#45610C212yesmaximal, complemented
15#45244C212yesmaximal, complemented
16#44880C212yesmaximal, complemented
17#42977C211yesmaximal, characteristic, complemented
18#42607C212yesmaximal, complemented
19#42490C211yesmaximal, characteristic, complemented
20#42425C212yesmaximal, complemented
21#40593C214yesmaximal, complemented
22#39434C212yesmaximal, complemented
23#39341C212yesmaximal, complemented
24#39005C212yesmaximal, complemented
25#37782C212yesmaximal, complemented
26#37513C211yesmaximal, characteristic, complemented
27#35741C211yesmaximal, characteristic, complemented
28#35702C211yesmaximal, characteristic, complemented
29#35528C211yesmaximal, characteristic, complemented
30C2×#550C2212yes—
31C2×#550C2211yescharacteristic, complemented
32C2×D4×Q8C2211yescharacteristic, complemented
33C2×#548C2214yescomplemented
34C2×#546C2214yes—
35C2×#540C2212yescomplemented
36C2×#537C2214yescomplemented
37C2×#535C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#532C2212yescomplemented
40C22×#127C2211yescharacteristic
41C2×#518C2211yescharacteristic
42#2856C2212yescomplemented
43#2854C2212yescomplemented
44#2842C2212yes—
45#2832C2212yescomplemented
46#2829C2214yescomplemented
47#2829C2214yescomplemented
48#2828C2212yescomplemented
49#2828C2212yescomplemented
50#2824C2214yescomplemented
51#2819C2214yescomplemented
52#2816C2214yescomplemented
53#2813C2214yescomplemented
54#2813C2214yescomplemented
55#2806C2212yescomplemented
56#2804C2211yescharacteristic, complemented
57#2799C2211yescharacteristic, complemented
58#2799C2211yescharacteristic, complemented
59#2784C2212yescomplemented
60#2780C2214yes—
61#2780C2212yes—
62#2780C2212yes—
63#2780C2214yescomplemented
64#2757C2214yescomplemented
65#2757C2214yescomplemented
66#2748C2212yescomplemented
67#2712C2214yescomplemented
68#2710C2214yescomplemented
69#2710C2214yescomplemented
70#2710C2214yescomplemented
71#2708C2214yescomplemented
72#2708C2214yescomplemented
73#2706C2214yescomplemented
74#2706C2214yescomplemented
75#2701C2214yescomplemented
76#2701C2214yescomplemented
77#2692C2214yes—
78#2692C2212yes—
79#2692C2212yes—
80#2687C2214yescomplemented
81#2687C2214yescomplemented
82#2686C2214yescomplemented
83#2686C2214yescomplemented
84#2683C2211yescharacteristic, complemented
85#2683C2212yescomplemented
86#2682C2214yescomplemented
87#2682C2214yescomplemented
88#2678C2214yes—
89#2678C2214yes—
90#2678C2214yes—
91#2676C2214yescomplemented
92#2676C2214yescomplemented
93#2676C2214yescomplemented
94#2676C2214yescomplemented
95#2676C2214yescomplemented
96#2676C2214yescomplemented
97#2675C2214yescomplemented
98#2675C2214yescomplemented
99#2675C2214yescomplemented
100#2675C2214yescomplemented
101#2673C2214yes—
102#2673C2214yes—
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2671C2214yescomplemented
106#2671C2214yescomplemented
107#2671C2214yescomplemented
108#2671C2214yescomplemented
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2670C2214yes—
112#2670C2212yes—
113#2668C2214yes—
114#2668C2212yes—
115#2661C2214yescomplemented
116#2656C2214yescomplemented
117#2649C2214yescomplemented
118#2649C2214yescomplemented
119#2635C2214yes—
120#2635C2212yescomplemented
121#2632C2214yescomplemented
122#2631C2214yes—
123#2628C2211yescharacteristic
124#2626C2212yes—
125#2626C2214yes—
126#2624C2212yescomplemented
127#2619C2211yescharacteristic
128#2619C2212yescomplemented
129#2615C2212yes—
130#2615C2214yescomplemented
131#2615C2214yescomplemented
132#2589C2214yescomplemented
133#2584C2212yescomplemented
134#2580C2214yes—
135#2580C2212yescomplemented
136#2580C2211yescharacteristic, complemented
137#2580C2211yescharacteristic, complemented
138#2579C2214yes—
139#2574C2214yescomplemented
140#2572C2212yescomplemented
141#2566C2212yescomplemented
142#2564C2212yescomplemented
143#2563C2211yescharacteristic, complemented
144#2557C2214yescomplemented
145#2555C2212yescomplemented
146#2555C2212yescomplemented
147#2548C2212yes—
148#2548C2212yescomplemented
149#2544C2212yes—
150#2544C2212yes—
151#2541C2212yes—
152#2541C2212yes—
153#2541C2212yes—
154#2541C2212yes—
155#2541C2212yes—
156#2541C2211yescharacteristic, complemented
157#2541C2212yescomplemented
158#2539C2214yes—
159#2539C2212yes—
160#2538C2212yescomplemented
161#2522C2214yescomplemented
162#2513C2212yescomplemented
163#2508C2212yescomplemented
164#2507C2212yescomplemented
165#2495C2212yescomplemented
166#2491C2212yescomplemented
167#2491C2212yescomplemented
168#2490C2212yescomplemented
169#2464C2214yescomplemented
170#2463C2214yescomplemented
171#2463C2214yescomplemented
172#2463C2214yescomplemented
173#2459C2214yescomplemented
174#2454C2212yescomplemented
175#2454C2212yescomplemented
176#2452C2212yescomplemented
177#2452C2212yescomplemented
178#2452C2212yescomplemented
179#2450C2214yescomplemented
180#2445C2212yes—
181#2445C2212yes—
182#2445C2212yescomplemented
183#2445C2212yescomplemented
184#2441C2212yes—
185#2439C2212yes—
186#2437C2214yes—
187#2437C2212yes—
188#2436C2214yescomplemented
189#2433C2212yes—
190#2433C2212yes—
191#2431C2214yes—
192#2431C2214yescomplemented
193#2430C2214yescomplemented
194#2430C2214yescomplemented
195#2428C2212yes—
196#2428C2212yes—
197#2428C2212yes—
198#2428C2212yes—
199#2428C2214yes—
200#2428C2212yescomplemented
201#2428C2214yescomplemented
202#2428C2212yescomplemented
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2426C2214yescomplemented
207#2426C2214yescomplemented
208#2425C2214yescomplemented
209#2425C2214yescomplemented
210#2424C2214yes—
211#2424C2214yes—
212#2424C2214yes—
213#2422C2212yescomplemented
214#2420C2212yescomplemented
215#2420C2212yescomplemented
216#2416C2214yescomplemented
217#2416C2214yescomplemented
218#2410C2214yes—
219#2410C2214yes—
220#2410C2214yes—
221#2410C2214yes—
222#2409C2212yescomplemented
223#2408C2214yes—
224#2407C2214yescomplemented
225#2407C2214yescomplemented
226#2406C2214yescomplemented
227#2404C2212yes—
228#2404C2214yes—
229#2396C2211yescharacteristic
230#2396C2211yescharacteristic
231#2396C2212yescomplemented
232#2396C2212yescomplemented
233#2388C2212yescomplemented
234C2×#393C2212yes—
235#2377C2214yescomplemented
236#2366C2212yes—
237#2366C2212yescomplemented
238#2365C2212yescomplemented
239#2363C2212yes—
240#2363C2212yes—
241#2360C2214yescomplemented
242#2357C2211yescharacteristic, complemented
243#2349C2211yescharacteristic, complemented
244#2349C2212yescomplemented
245D4×C4⋊C4C2212yescomplemented
246D4×C22⋊C4C2212yes—
247D4×C22⋊C4C2212yes—
248#2324C2212yescomplemented
249#2318C2214yescomplemented
250#2309C2211yescharacteristic
251C4×C22⋊Q8C2212yes—
252C4×C22⋊Q8C2212yescomplemented
253C4×C22⋊Q8C2212yescomplemented
254C4×#121C2212yes—
255C4×#121C2212yescomplemented
256#2297C2212yes—
257#2297C2211yescharacteristic
258#2296C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C22×#41C2314yes—
261C22×#41C2312yes—
262C22×#41C2314yes—
263C23×Q8C2312yes—
264C23×D4C2311yescharacteristic
265C23×D4C2311yescharacteristic
266C23×D4C2314yes—
267#550—44no—
268#550—48no—
269D4×Q8—44no—
270#548—416no—
271#546—416no—
272#540—48no—
273#537—416no—
274#535—44no—
275#535—44no—
276#532—48no—
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2311yescharacteristic
279C2×#127—44no—
280C2×#127C2312yes—
281C2×#127C2312yes—
282C2×#127C2312yes—
283C2×#127C2311yescharacteristic
284C2×#127C2312yes—
285C2×#127C2312yes—
286C2×#127C2312yes—
287C2×#127C2312yes—
288C2×#127C2312yes—
289C2×#127C2312yes—
290C2×#127C2312yes—
291C2×#125C2312yes—
292C2×#124C2314yes—
293C2×#124C2314yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296C2×#124C2314yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2314yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2314yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357#518—44no—
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C22×C4⋊C4C2314yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C42C2312yes—
390C22×C42C2311yescharacteristic
391#400C2311yescharacteristic
392#400C2312yes—
393#400C2314yes—
394#400C2312yes—
395#400C2314yes—
396#400C2311yescharacteristic
397#400C2312yes—
398#399C2314yes—
399#399C2314yes—
400#399C2312yes—
401#399C2314yes—
402#399C2314yes—
403#399C2312yes—
404#399C2311yescharacteristic
405#399C2312yes—
406#399C2314yes—
407#399C2311yescharacteristic
408#399C2312yes—
409#399C2312yes—
410#398C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#398C2312yes—
418#398C2312yes—
419#398C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2312yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#396C2314yes—
441#396C2312yes—
442#396C2312yes—
443#396C2312yes—
444#396C2312yes—
445#395C2312yes—
446#395C2314yes—
447#395C2312yes—
448#395C2311yescharacteristic
449#395C2311yescharacteristic
450#395C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#393C2312yes—
485#393C2314yes—
486#393C2312yes—
487#393C2312yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2312yes—
494#393C2312yes—
495#393C2312yes—
496#393C2314yes—
497#393C2312yes—
498#393C2314yes—
499#393C2311yescharacteristic
500#393C2311yescharacteristic
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2312yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2312yes—
522#392C2312yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2312yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2314yes—
535#391C2314yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2311yescharacteristic
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
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#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#384C2312yes—
674#383C2314yes—
675#382C2312yes—
676#382C2314yes—
677#382C2311yescharacteristic
678#382C2311yescharacteristic
679#381C2314yes—
680#381C2314yes—
681#381C2312yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2314yes—
686#380C2312yes—
687#380C2312yes—
688#380C2314yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2314yes—
693#380C2312yes—
694#380C2312yes—
695#379C2312yes—
696#379C2312yes—
697#379C2314yes—
698#379C2314yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C2×#95C2312yes—
723C2×#95C2314yes—
724C25C2412yes—
725C25C2412yes—
726C2×#41—24no—
727C2×#41—42no—
728C2×#41—42no—
729C2×#41—48no—
730C2×#41—44no—
731C2×#41—48no—
732C2×#41—48no—
733C2×#41—48no—
734C2×#41—48no—
735C2×#41—48no—
736C2×#41—84no—
737C22×Q8—48no—
738C22×Q8—44no—
739C22×Q8C2411yescharacteristic
740C22×Q8C2414yes—
741C22×Q8C2411yescharacteristic
742C22×Q8C2412yes—
743C22×Q8C2411yescharacteristic
744C22×Q8C2412yes—
745C22×D4—24no—
746C22×D4—24no—
747C22×D4—24no—
748C22×D4—42no—
749C22×D4—42no—
750C22×D4—42no—
751C22×D4—48no—
752C22×D4—48no—
753C22×D4—84no—
754C22×D4C2412yes—
755C22×D4C2411yescharacteristic
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2414yes—
759C22×D4C2411yescharacteristic
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2411yescharacteristic
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2412yes—
780C22×D4C2414yes—
781C22×D4C2412yes—
782C22×D4C2414yes—
783C23×C4C2412yes—
784C23×C4C2414yes—
785C23×C4C2412yes—
786C23×C4C2411yescharacteristic
787C23×C4C2412yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2414yes—
798C23×C4C2412yes—
799C4⋊Q8—28no—
800C4⋊Q8—42no—
801#127—28no—
802#127—28no—
803#127—44no—
804#127—44no—
805#127—44no—
806#127—44no—
807#127—42no—
808#127—44no—
809#127—44no—
810#127—44no—
811#127—44no—
812#125—44no—
813#124—44no—
814#124—48no—
815#124—48no—
816#124—44no—
817#124—48no—
818#124—48no—
819#124—48no—
820#123—48no—
821#123—48no—
822#123—48no—
823#123—48no—
824#123—84no—
825#123—84no—
826#123—84no—
827#123—84no—
828C22⋊Q8—28no—
829C22⋊Q8—216no—
830C22⋊Q8—28no—
831C22⋊Q8—28no—
832C22⋊Q8—48no—
833C22⋊Q8—48no—
834C22⋊Q8—48no—
835C22⋊Q8—48no—
836C22⋊Q8—44no—
837#121—28no—
838#121—28no—
839#121—28no—
840#121—216no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—48no—
845#121—48no—
846#121—44no—
847#121—48no—
848#121—48no—
849#121—48no—
850#121—48no—
851#121—48no—
852#121—48no—
853#121—48no—
854#121—48no—
855#121—48no—
856#121—48no—
857#121—44no—
858#121—44no—
859#121—44no—
860#121—44no—
861#121—48no—
862#121—48no—
863#121—48no—
864#121—48no—
865#121—84no—
866#121—84no—
867#121—84no—
868#121—84no—
869#121—84no—
870#121—84no—
871#121—84no—
872#120—48no—
873#120—48no—
874#120—48no—
875#120—48no—
876#120—84no—
877#120—84no—
878C4×Q8—42no—
879C4×Q8—42no—
880C4×Q8—44no—
881C4×Q8—48no—
882C4×D4—28no—
883C4×D4—24no—
884C4×D4—24no—
885C4×D4—28no—
886C4×D4—216no—
887C4×D4—44no—
888C4×D4—42no—
889C4×D4—42no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—48no—
897C4×D4—48no—
898C4×D4—48no—
899C4×D4—48no—
900#117—24no—
901#117—42no—
902#117—44no—
903#117—42no—
904C2×C4⋊C4—48no—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C22⋊C4—44no—
951C2×C22⋊C4—44no—
952C2×C22⋊C4—48no—
953C2×C22⋊C4—48no—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C42—42no—
1022C2×C42—44no—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039#95C2412yes—
1040#95C2411yescharacteristic
1041#95C2414yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2411yescharacteristic
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2411yescharacteristic
1067#95C2412yes—
1068#95C2412yes—
1069#95C2411yescharacteristic
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087C24—24no—
1088C24—24no—
1089C24—24no—
1090C24—42no—
1091C24—42no—
1092C24—44no—
1093C24—44no—
1094C24—44no—
1095C24—44no—
1096C24—42no—
1097C24C2512yes—
1098C24C2514yes—
1099C24C2512yes—
1100C24C2514yes—
1101C24C2512yes—
1102C24C2511yescharacteristic
1103#41—88no—
1104#41—832no—
1105#41—816no—
1106#41—832no—
1107C2×Q8—24no—
1108C2×Q8—28no—
1109C2×Q8—24no—
1110C2×Q8—24no—
1111C2×Q8—28no—
1112C2×Q8—22no—
1113C2×Q8—41no—
1114C2×Q8—44no—
1115C2×Q8—41no—
1116C2×Q8—42no—
1117C2×Q8—42no—
1118C2×Q8—44no—
1119C2×Q8—42no—
1120C2×Q8—41no—
1121C2×Q8—41no—
1122C2×Q8—816no—
1123C2×D4—28no—
1124C2×D4—24no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—24no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—28no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—22no—
1139C2×D4—28no—
1140C2×D4—28no—
1141C2×D4—28no—
1142C2×D4—28no—
1143C2×D4—22no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—22no—
1150C2×D4—416no—
1151C2×D4—42no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—42no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—42no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D4—41no—
1190C2×D4—41no—
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—42no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—88no—
1209C2×D4—832no—
1210C2×D4H(5,𝔽2)14yes—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—28no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—28no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—28no—
1225C22×C4—28no—
1226C22×C4—28no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—44no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—44no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C42−1+414yes—
1255C22×C4C2512yes—
1256C22×C4C2514yes—
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2514yes—
1269C22×C4C2514yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—41no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4H(5,𝔽2)14yes—
1322C4⋊C4H(5,𝔽2)18yes—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
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—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—24no—
1394C42—24no—
1395C42—22no—
1396C42—22no—
1397C42—24no—
1398C42—28no—
1399C42—42no—
1400C42—42no—
1401C42—41no—
1402C42—41no—
1403C42—42no—
1404C42—44no—
1405C42—44no—
1406C23—21no—
1407C23—22no—
1408C23—22no—
1409C23—24no—
1410C23—21no—
1411C23—22no—
1412C23—22no—
1413C23—24no—
1414C23—22no—
1415C23—24no—
1416C23—22no—
1417C23—24no—
1418C23—24no—
1419C23—24no—
1420C23—24no—
1421C23—22no—
1422C23—24no—
1423C23—24no—
1424C23—22no—
1425C23—22no—
1426C23—24no—
1427C23—24no—
1428C23—22no—
1429C23—24no—
1430C23—22no—
1431C23—22no—
1432C23—24no—
1433C23—22no—
1434C23—24no—
1435C23—24no—
1436C23—22no—
1437C23—24no—
1438C23—24no—
1439C23—24no—
1440C23—48no—
1441C23—84no—
1442C23—88no—
1443C23—88no—
1444C23—88no—
1445C23—88no—
1446C23—162no—
1447C23—162no—
1448C23—162no—
1449C23—162no—
1450C23C2×H(5,𝔽2)14yes—
1451C23C2×2−1+412yes—
1452C23C2611yescharacteristic
1453Q8—44no—
1454Q8—416no—
1455Q8—44no—
1456Q8—48no—
1457Q8—82no—
1458Q8—84no—
1459D4—28no—
1460D4—48no—
1461D4—416no—
1462D4—48no—
1463D4—44no—
1464D4—48no—
1465D4—84no—
1466D4—88no—
1467D4—82no—
1468D4—88no—
1469D4—88no—
1470D4—88no—
1471D4—88no—
1472D4—88no—
1473D4—88no—
1474D4—88no—
1475D4—84no—
1476D4—88no—
1477D4—88no—
1478D4—88no—
1479D4—84no—
1480D4—88no—
1481D4—88no—
1482D4—164no—
1483D4—164no—
1484D4—162no—
1485D4—164no—
1486D4—164no—
1487D4—164no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—28no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—416no—
1545C2×C4—48no—
1546C2×C4—48no—
1547C2×C4—48no—
1548C2×C4—84no—
1549C2×C4—88no—
1550C2×C4—88no—
1551C2×C4—84no—
1552C2×C4—88no—
1553C2×C4—88no—
1554C2×C4—84no—
1555C2×C4—88no—
1556C2×C4—162no—
1557C2×C4—162no—
1558C2×C4—164no—
1559C2×C4C2×H(5,𝔽2)14yes—
1560C2×C4C2×H(5,𝔽2)14yes—
1561C2×C4C2×H(5,𝔽2)14yes—
1562C2×C4C2×H(5,𝔽2)14yes—
1563C2×C4C2×H(5,𝔽2)12yes—
1564C2×C4C2×H(5,𝔽2)12yes—
1565C2×C4C2×2−1+412yes—
1566C2×C4C2×2−1+412yes—
1567C22—22no—
1568C22—24no—
1569C22—28no—
1570C22—24no—
1571C22—42no—
1572C22—41no—
1573C22—42no—
1574C22—41no—
1575C22—42no—
1576C22—44no—
1577C22—42no—
1578C22—42no—
1579C22—44no—
1580C22—44no—
1581C22—42no—
1582C22—44no—
1583C22—42no—
1584C22—44no—
1585C22—42no—
1586C22—42no—
1587C22—44no—
1588C22—44no—
1589C22—44no—
1590C22—44no—
1591C22—44no—
1592C22—44no—
1593C22—42no—
1594C22—44no—
1595C22—42no—
1596C22—44no—
1597C22—42no—
1598C22—44no—
1599C22—42no—
1600C22—44no—
1601C22—44no—
1602C22—44no—
1603C22—168no—
1604C22—168no—
1605C22C22×H(5,𝔽2)11yescharacteristic
1606C22C22×H(5,𝔽2)11yescharacteristic
1607C22C22×H(5,𝔽2)12yes—
1608C22C22×2−1+411yescharacteristic
1609C22H(7,𝔽2)12yes—
1610C4—22no—
1611C4—24no—
1612C4—24no—
1613C4—24no—
1614C4—24no—
1615C4—42no—
1616C4—41no—
1617C4—44no—
1618C4—41no—
1619C4—42no—
1620C4—42no—
1621C4—41no—
1622C4—41no—
1623C4—42no—
1624C4—42no—
1625C4—44no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—44no—
1630C4—42no—
1631C4—44no—
1632C4#353614yes—
1633C2—44no—
1634C2—42no—
1635C2—82no—
1636C2—84no—
1637C2—82no—
1638C2—84no—
1639C2C2×#353611yescharacteristic
1640C2#6291212yes—
1641C2#6291712yes—
1642C2#6301111yescharacteristic
1643C2#6306611yescharacteristic
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. #59919C2semidirect
2. #59124C2semidirect
3. #59080C2semidirect
4. #58890C2semidirect
5. #58010C2semidirect
6. #57151C2semidirect
7. #54852C2semidirect
8. #53613C2semidirect
9. #53106C2semidirect
10. #52421C2semidirect
11. #52288C2semidirect
12. #49546C2semidirect
13. #48106C2semidirect
14. #45610C2semidirect
15. #45244C2semidirect
16. #44880C2semidirect
17. #42977C2semidirect
18. #42607C2semidirect
19. #42490C2semidirect
20. #42425C2semidirect
21. #40593C2semidirect
22. #39434C2semidirect
23. #39341C2semidirect
24. #39005C2semidirect
25. #37782C2semidirect
26. #37513C2semidirect
27. #35741C2semidirect
28. #35702C2semidirect
29. #35528C2semidirect
31. C2×#550C22semidirect
32. C2×D4×Q8C22semidirect
33. C2×#548C22semidirect
35. C2×#540C22semidirect
36. C2×#537C22semidirect
39. C2×#532C22semidirect
42. #2856C22semidirect
43. #2854C22semidirect
45. #2832C22semidirect
46. #2829C22semidirect
47. #2829C22semidirect
48. #2828C22semidirect
49. #2828C22semidirect
50. #2824C22semidirect
51. #2819C22semidirect
52. #2816C22semidirect
53. #2813C22semidirect
54. #2813C22semidirect
55. #2806C22semidirect
56. #2804C22semidirect
57. #2799C22semidirect
58. #2799C22semidirect
59. #2784C22semidirect
63. #2780C22semidirect
64. #2757C22semidirect
65. #2757C22semidirect
66. #2748C22semidirect
67. #2712C22semidirect
68. #2710C22semidirect
69. #2710C22semidirect
70. #2710C22semidirect
71. #2708C22semidirect
72. #2708C22semidirect
73. #2706C22semidirect
74. #2706C22semidirect
75. #2701C22semidirect
76. #2701C22semidirect
80. #2687C22semidirect
81. #2687C22semidirect
82. #2686C22semidirect
83. #2686C22semidirect
84. #2683C22semidirect
85. #2683C22semidirect
86. #2682C22semidirect
87. #2682C22semidirect
91. #2676C22semidirect
92. #2676C22semidirect
93. #2676C22semidirect
94. #2676C22semidirect
95. #2676C22semidirect
96. #2676C22semidirect
97. #2675C22semidirect
98. #2675C22semidirect
99. #2675C22semidirect
100. #2675C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2671C22semidirect
106. #2671C22semidirect
107. #2671C22semidirect
108. #2671C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
115. #2661C22semidirect
116. #2656C22semidirect
117. #2649C22semidirect
118. #2649C22semidirect
120. #2635C22semidirect
121. #2632C22semidirect
126. #2624C22semidirect
128. #2619C22semidirect
130. #2615C22semidirect
131. #2615C22semidirect
132. #2589C22semidirect
133. #2584C22semidirect
135. #2580C22semidirect
136. #2580C22semidirect
137. #2580C22semidirect
139. #2574C22semidirect
140. #2572C22semidirect
141. #2566C22semidirect
142. #2564C22semidirect
143. #2563C22semidirect
144. #2557C22semidirect
145. #2555C22semidirect
146. #2555C22semidirect
148. #2548C22semidirect
156. #2541C22semidirect
157. #2541C22semidirect
160. #2538C22semidirect
161. #2522C22semidirect
162. #2513C22semidirect
163. #2508C22semidirect
164. #2507C22semidirect
165. #2495C22semidirect
166. #2491C22semidirect
167. #2491C22semidirect
168. #2490C22semidirect
169. #2464C22semidirect
170. #2463C22semidirect
171. #2463C22semidirect
172. #2463C22semidirect
173. #2459C22semidirect
174. #2454C22semidirect
175. #2454C22semidirect
176. #2452C22semidirect
177. #2452C22semidirect
178. #2452C22semidirect
179. #2450C22semidirect
182. #2445C22semidirect
183. #2445C22semidirect
188. #2436C22semidirect
192. #2431C22semidirect
193. #2430C22semidirect
194. #2430C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2426C22semidirect
207. #2426C22semidirect
208. #2425C22semidirect
209. #2425C22semidirect
213. #2422C22semidirect
214. #2420C22semidirect
215. #2420C22semidirect
216. #2416C22semidirect
217. #2416C22semidirect
222. #2409C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2406C22semidirect
231. #2396C22semidirect
232. #2396C22semidirect
233. #2388C22semidirect
235. #2377C22semidirect
237. #2366C22semidirect
238. #2365C22semidirect
241. #2360C22semidirect
242. #2357C22semidirect
243. #2349C22semidirect
244. #2349C22semidirect
245. D4×C4⋊C4C22semidirect
248. #2324C22semidirect
249. #2318C22semidirect
252. C4×C22⋊Q8C22semidirect
253. C4×C22⋊Q8C22semidirect
255. C4×#121C22semidirect

Maximal subgroups

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

subgroupindex
#599192
#591242
#590802
#588902
#580102
#571512
#548522
#536132
#531062
#524212
#522882
#495462
#481062
#456102
#452442
#448802
#429772
#426072
#424902
#424252
#405932
#394342
#393412
#390052
#377822
#375132
#357412
#357022
#355282