Finite Group Databasebeta

← #8094636

Subgroups — #8094636

Order 512.

5116 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53115C212yesmaximal, complemented
2#53112C212yesmaximal, complemented
3#53103C211yesmaximal, characteristic, complemented
4#52991C211yesmaximal, characteristic, complemented
5#52988C211yesmaximal, characteristic, complemented
6#52986C211yesmaximal, characteristic, complemented
7#52873C214yesmaximal, complemented
8#52717C212yesmaximal, complemented
9#52673C212yesmaximal, complemented
10#52664C214yesmaximal, complemented
11#52662C212yesmaximal, complemented
12#52634C212yesmaximal, complemented
13#45693C212yesmaximal, complemented
14#45688C212yesmaximal, complemented
15#45655C212yesmaximal, complemented
16#45638C214yesmaximal, complemented
17#45592C212yesmaximal, complemented
18#45483C212yesmaximal, complemented
19#45476C212yesmaximal, complemented
20#45471C212yesmaximal, complemented
21#45461C212yesmaximal, complemented
22#45448C214yesmaximal, complemented
23#35591C212yesmaximal, complemented
24#35588C212yesmaximal, complemented
25#35567C212yesmaximal, complemented
26#35271C212yesmaximal, complemented
27#35226C212yesmaximal, complemented
28#35226C212yesmaximal, complemented
29#34963C211yesmaximal, characteristic, complemented
30#34935C211yesmaximal, characteristic, complemented
31#34876C211yesmaximal, characteristic, complemented
32C2×#560C2214yescomplemented
33C2×#540C2212yes—
34C2×#529C2211yescharacteristic, complemented
35C2×#525C2212yes—
36C2×C4×#41C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic, complemented
38C22×C4×D4C2211yescharacteristic, complemented
39#2856C2212yes—
40#2854C2212yescomplemented
41#2854C2212yescomplemented
42#2851C2212yescomplemented
43#2849C2214yescomplemented
44#2849C2214yescomplemented
45#2847C2214yescomplemented
46#2847C2214yescomplemented
47#2842C2212yescomplemented
48#2841C2212yescomplemented
49#2839C2214yescomplemented
50#2837C2214yescomplemented
51#2837C2214yescomplemented
52#2836C2214yescomplemented
53#2835C2212yescomplemented
54#2829C2214yescomplemented
55#2828C2214yes—
56#2828C2214yescomplemented
57#2827C2214yescomplemented
58#2826C2212yes—
59#2826C2214yescomplemented
60#2826C2214yescomplemented
61#2826C2214yescomplemented
62#2820C2214yescomplemented
63#2816C2214yescomplemented
64#2815C2212yes—
65#2814C2214yescomplemented
66#2813C2214yescomplemented
67#2813C2214yescomplemented
68#2812C2212yes—
69#2812C2212yes—
70#2812C2212yescomplemented
71#2803C2214yescomplemented
72#2781C2214yescomplemented
73#2779C2214yescomplemented
74#2771C2212yescomplemented
75#2752C2212yes—
76#2750C2214yescomplemented
77#2743C2214yescomplemented
78#2743C2214yescomplemented
79#2741C2214yescomplemented
80#2739C2214yescomplemented
81#2735C2212yescomplemented
82#2723C2214yescomplemented
83#2722C2212yescomplemented
84#2717C2214yescomplemented
85#2711C2214yescomplemented
86#2708C2214yescomplemented
87#2707C2214yescomplemented
88#2706C2214yescomplemented
89#2705C2214yescomplemented
90#2703C2214yescomplemented
91#2703C2214yescomplemented
92#2701C2214yescomplemented
93#2696C2214yescomplemented
94#2695C2214yes—
95#2695C2214yescomplemented
96#2694C2214yescomplemented
97#2685C2214yescomplemented
98#2679C2214yes—
99#2678C2214yes—
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2678C2214yescomplemented
103#2675C2212yes—
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2671C2214yescomplemented
107#2671C2214yescomplemented
108#2671C2214yescomplemented
109#2670C2212yes—
110#2670C2212yes—
111#2669C2214yescomplemented
112#2668C2214yes—
113#2668C2214yescomplemented
114#2668C2212yescomplemented
115#2647C2212yescomplemented
116#2644C2212yescomplemented
117#2644C2212yescomplemented
118#2641C2212yes—
119#2635C2214yescomplemented
120#2635C2214yescomplemented
121#2630C2214yescomplemented
122#2630C2214yescomplemented
123#2611C2211yescharacteristic, complemented
124#2611C2211yescharacteristic, complemented
125#2610C2211yescharacteristic, complemented
126#2610C2211yescharacteristic, complemented
127#2604C2212yescomplemented
128#2603C2212yes—
129#2598C2212yes—
130#2598C2212yescomplemented
131#2596C2214yescomplemented
132#2595C2214yescomplemented
133#2584C2212yescomplemented
134#2580C2212yescomplemented
135#2578C2214yescomplemented
136#2575C2214yescomplemented
137#2573C2214yescomplemented
138#2564C2211yescharacteristic, complemented
139#2564C2211yescharacteristic, complemented
140#2562C2212yescomplemented
141#2559C2214yescomplemented
142#2559C2214yescomplemented
143#2558C2214yescomplemented
144#2558C2214yescomplemented
145#2555C2214yescomplemented
146#2554C2214yescomplemented
147#2553C2214yescomplemented
148#2548C2212yes—
149#2543C2211yescharacteristic, complemented
150#2543C2211yescharacteristic, complemented
151#2541C2212yes—
152#2538C2212yescomplemented
153#2537C2212yes—
154#2536C2212yescomplemented
155#2535C2212yes—
156#2535C2212yes—
157#2534C2212yes—
158#2534C2212yescomplemented
159#2531C2214yescomplemented
160#2531C2214yescomplemented
161#2531C2214yescomplemented
162#2529C2214yescomplemented
163#2526C2214yescomplemented
164#2526C2214yescomplemented
165#2513C2212yescomplemented
166#2512C2212yescomplemented
167#2508C2212yescomplemented
168#2506C2212yescomplemented
169#2501C2212yescomplemented
170#2500C2212yescomplemented
171#2498C2212yescomplemented
172#2497C2212yescomplemented
173#2496C2212yescomplemented
174#2490C2212yes—
175#2490C2212yes—
176#2487C2211yescharacteristic
177#2487C2212yescomplemented
178#2487C2211yescharacteristic, complemented
179#2486C2211yescharacteristic
180#2486C2211yescharacteristic, complemented
181#2485C2212yescomplemented
182#2482C2212yescomplemented
183#2479C2214yescomplemented
184#2471C2214yescomplemented
185#2468C2214yescomplemented
186#2464C2214yescomplemented
187#2464C2214yescomplemented
188#2464C2214yescomplemented
189#2461C2214yescomplemented
190#2457C2214yescomplemented
191#2457C2214yescomplemented
192#2457C2214yescomplemented
193#2454C2214yescomplemented
194#2454C2212yescomplemented
195#2454C2212yescomplemented
196#2445C2212yes—
197#2445C2212yes—
198#2445C2214yescomplemented
199#2444C2214yescomplemented
200#2444C2214yescomplemented
201#2442C2212yescomplemented
202#2442C2212yescomplemented
203#2442C2212yescomplemented
204#2441C2212yescomplemented
205#2433C2212yes—
206#2433C2212yes—
207#2430C2212yes—
208#2428C2212yes—
209#2428C2212yes—
210#2428C2214yescomplemented
211#2425C2214yescomplemented
212#2425C2214yescomplemented
213#2424C2214yescomplemented
214#2424C2214yescomplemented
215#2420C2214yescomplemented
216#2420C2212yescomplemented
217#2420C2212yescomplemented
218#2418C2214yescomplemented
219#2418C2214yescomplemented
220#2416C2212yes—
221#2416C2212yes—
222#2416C2212yes—
223#2416C2212yescomplemented
224#2416C2212yescomplemented
225#2414C2212yes—
226#2414C2212yescomplemented
227#2414C2212yescomplemented
228#2408C2211yescharacteristic
229#2408C2211yescharacteristic
230#2408C2211yescharacteristic, complemented
231#2408C2212yescomplemented
232#2408C2212yescomplemented
233#2408C2211yescharacteristic, complemented
234#2404C2212yes—
235#2399C2211yescharacteristic, complemented
236#2398C2211yescharacteristic
237#2398C2211yescharacteristic, complemented
238#2398C2212yescomplemented
239#2397C2211yescharacteristic
240#2397C2212yes—
241#2392C2212yes—
242#2392C2212yescomplemented
243#2377C2214yescomplemented
244#2377C2214yescomplemented
245#2375C2214yescomplemented
246#2330C2212yescomplemented
247#2328C2212yes—
248#2324C2212yescomplemented
249#2324C2212yescomplemented
250#2319C2212yescomplemented
251#2319C2212yescomplemented
252C4×#121C2212yes—
253C4×#121C2212yes—
254C4×#121C2212yescomplemented
255C4×#121C2212yescomplemented
256C4×#121C2212yescomplemented
257C4×#121C2212yescomplemented
258C4×#120C2212yes—
259C4×#120C2212yescomplemented
260#2290C2212yescomplemented
261#2290C2212yescomplemented
262#2285C2211yescharacteristic, complemented
263#2283C2211yescharacteristic, complemented
264#2280C2212yescomplemented
265#2274C2212yescomplemented
266C2×#376C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C23×D4C2311yescharacteristic
269C23×D4C2311yescharacteristic
270C24×C4C2312yes—
271C24×C4C2312yes—
272#560—416no—
273#540—48no—
274C2×#127C2312yes—
275C2×#127C2314yes—
276C2×#127C2312yes—
277#529—44no—
278C2×#126C2312yes—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#125C2312yes—
282C2×#125C2312yes—
283C2×#125C2311yescharacteristic
284C2×#125C2314yes—
285C2×#124C2311yescharacteristic
286C2×#124C2314yes—
287#525—48no—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2312yes—
293C2×#123C2312yes—
294C2×#123C2314yes—
295C2×#123C2312yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2311yescharacteristic
301C2×#121C2314yes—
302C2×#121C2312yes—
303C2×#121C2314yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2314yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2311yescharacteristic
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#120C2312yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327C2×#120C2314yes—
328C2×#120C2312yes—
329C2×#120C2312yes—
330C2×#120C2312yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C4×#41—44no—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×D4—44no—
339C2×C4×D4—44no—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2312yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2312yes—
371C22×C22⋊C4C2312yes—
372C22×C22⋊C4C2312yes—
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2312yes—
377#400C2314yes—
378#400C2311yescharacteristic
379#400C2311yescharacteristic
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#399C2314yes—
394#399C2314yes—
395#399C2311yescharacteristic
396#399C2311yescharacteristic
397#399C2314yes—
398#399C2314yes—
399#399C2312yes—
400#399C2312yes—
401#399C2314yes—
402#399C2314yes—
403#399C2312yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2312yes—
408#398C2314yes—
409#398C2312yes—
410#398C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2311yescharacteristic
414#398C2314yes—
415#398C2314yes—
416#398C2311yescharacteristic
417#398C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2311yescharacteristic
437#397C2311yescharacteristic
438#397C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#395C2311yescharacteristic
454#395C2311yescharacteristic
455#395C2314yes—
456#395C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2312yes—
488#394C2311yescharacteristic
489#394C2311yescharacteristic
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#393C2312yes—
497#393C2314yes—
498#393C2311yescharacteristic
499#393C2311yescharacteristic
500#392C2312yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2312yes—
512#392C2312yes—
513#392C2312yes—
514#392C2311yescharacteristic
515#392C2311yescharacteristic
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#386C2312yes—
616#386C2312yes—
617#386C2314yes—
618#386C2312yes—
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#386C2312yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2312yes—
649#386C2312yes—
650#386C2314yes—
651#385C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#384C2312yes—
670#384C2312yes—
671#383C2312yes—
672#382C2314yes—
673#382C2312yes—
674#382C2312yes—
675#382C2312yes—
676#381C2314yes—
677#381C2314yes—
678#381C2314yes—
679#381C2312yes—
680#381C2314yes—
681#381C2312yes—
682#381C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2314yes—
690#380C2314yes—
691#380C2314yes—
692#380C2314yes—
693#380C2314yes—
694#380C2314yes—
695#380C2311yescharacteristic
696#380C2311yescharacteristic
697#380C2311yescharacteristic
698#380C2311yescharacteristic
699#380C2312yes—
700#380C2312yes—
701#380C2314yes—
702#380C2314yes—
703#380C2314yes—
704#380C2312yes—
705#379C2314yes—
706#379C2312yes—
707#379C2314yes—
708#379C2312yes—
709#379C2312yes—
710#379C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731#376C2312yes—
732#376C2312yes—
733#376C2311yescharacteristic
734#376C2311yescharacteristic
735#376C2311yescharacteristic
736#376C2311yescharacteristic
737#376C2312yes—
738C2×#95C2311yescharacteristic
739C2×#95C2311yescharacteristic
740C2×#95C2312yes—
741C25C2412yes—
742C25C2412yes—
743C2×#41—24no—
744C2×#41—42no—
745C2×#41—42no—
746C22×Q8C2411yescharacteristic
747C22×Q8C2411yescharacteristic
748C22×D4—42no—
749C22×D4—42no—
750C22×D4—44no—
751C22×D4—44no—
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2411yescharacteristic
755C22×D4C2411yescharacteristic
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2412yes—
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2411yescharacteristic
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2411yescharacteristic
775C23×C4—44no—
776C23×C4—44no—
777C23×C4—44no—
778C23×C4—44no—
779C23×C4—84no—
780C23×C4C2412yes—
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2412yes—
789C23×C4C2411yescharacteristic
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2411yescharacteristic
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2414yes—
798C23×C4C2412yes—
799#127—44no—
800#127—44no—
801#127—48no—
802#126—44no—
803#126—48no—
804#126—48no—
805#125—44no—
806#125—42no—
807#125—44no—
808#125—84no—
809#124—42no—
810#124—84no—
811#123—48no—
812#123—44no—
813#123—44no—
814#123—44no—
815#123—48no—
816#123—48no—
817#123—48no—
818#123—48no—
819#123—84no—
820#123—84no—
821#123—84no—
822C22⋊Q8—42no—
823C22⋊Q8—48no—
824#121—216no—
825#121—28no—
826#121—42no—
827#121—48no—
828#121—48no—
829#121—48no—
830#121—44no—
831#121—48no—
832#121—48no—
833#121—44no—
834#121—44no—
835#121—44no—
836#121—44no—
837#121—44no—
838#121—44no—
839#121—44no—
840#121—44no—
841#121—48no—
842#121—48no—
843#121—84no—
844#121—84no—
845#121—84no—
846#121—84no—
847#120—28no—
848#120—48no—
849#120—48no—
850#120—48no—
851#120—44no—
852#120—44no—
853#120—44no—
854#120—84no—
855#120—84no—
856#120—84no—
857C4×Q8—42no—
858C4×Q8—42no—
859C4×Q8—42no—
860C4×D4—28no—
861C4×D4—28no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—44no—
866C4×D4—44no—
867C4×D4—44no—
868C4×D4—44no—
869C4×D4—44no—
870C4×D4—42no—
871C4×D4—42no—
872C4×D4—42no—
873C4×D4—42no—
874C4×D4—42no—
875C4×D4—42no—
876C4×D4—42no—
877C4×D4—44no—
878C4×D4—48no—
879C4×D4—48no—
880C4×D4—84no—
881C4×D4—84no—
882#117—28no—
883#117—42no—
884#117—42no—
885#117—42no—
886#117—44no—
887#117—44no—
888C2×C4⋊C4—44no—
889C2×C4⋊C4—42no—
890C2×C4⋊C4—42no—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C22⋊C4—44no—
939C2×C22⋊C4—44no—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2411yescharacteristic
954C2×C22⋊C4C2411yescharacteristic
955C2×C22⋊C4C2411yescharacteristic
956C2×C22⋊C4C2411yescharacteristic
957C2×C22⋊C4C2411yescharacteristic
958C2×C22⋊C4C2411yescharacteristic
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C42—24no—
1011C2×C42—24no—
1012C2×C42—24no—
1013C2×C42—44no—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2411yescharacteristic
1039#95C2412yes—
1040#95C2411yescharacteristic
1041#95C2411yescharacteristic
1042#95C2412yes—
1043#95C2411yescharacteristic
1044#95C2414yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086C24—24no—
1087C24—24no—
1088C24—42no—
1089C24—42no—
1090C24—44no—
1091C24—44no—
1092C24—42no—
1093C24—42no—
1094C24—44no—
1095C24—44no—
1096C24C2514yes—
1097C24C2514yes—
1098C24C2512yes—
1099C24C2511yescharacteristic
1100C24C2511yescharacteristic
1101C24C2511yescharacteristic
1102#41—416no—
1103C2×Q8—22no—
1104C2×Q8—41no—
1105C2×Q8—41no—
1106C2×Q8—41no—
1107C2×Q8—42no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—41no—
1133C2×D4—42no—
1134C2×D4—41no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
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—416no—
1174C2×D4—416no—
1175C2×D4H(5,𝔽2)14yes—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—28no—
1198C22×C4—28no—
1199C22×C4—28no—
1200C22×C4—42no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—816no—
1227C22×C4—816no—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2514yes—
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2514yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2514yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2514yes—
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—41no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—41no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—28no—
1310C22⋊C4—24no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—24no—
1380C42—24no—
1381C42—24no—
1382C42—42no—
1383C42—42no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42H(5,𝔽2)14yes—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—21no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—24no—
1404C23—24no—
1405C23—24no—
1406C23—22no—
1407C23—24no—
1408C23—22no—
1409C23—22no—
1410C23—24no—
1411C23—24no—
1412C23—24no—
1413C23—24no—
1414C23—22no—
1415C23—24no—
1416C23—24no—
1417C23—24no—
1418C23—24no—
1419C23—24no—
1420C23—22no—
1421C23—24no—
1422C23—22no—
1423C23—48no—
1424C23—48no—
1425C23—84no—
1426C23—84no—
1427C23—88no—
1428C23—88no—
1429C23—84no—
1430C23—84no—
1431C23—88no—
1432C23—88no—
1433C23C2×H(5,𝔽2)12yes—
1434C23C2×H(5,𝔽2)12yes—
1435C23#58512yes—
1436C23C2611yescharacteristic
1437Q8—44no—
1438Q8—82no—
1439D4—44no—
1440D4—44no—
1441D4—44no—
1442D4—48no—
1443D4—48no—
1444D4—48no—
1445D4—48no—
1446D4—84no—
1447D4—84no—
1448D4—88no—
1449D4—88no—
1450D4—88no—
1451D4—84no—
1452D4—88no—
1453D4—82no—
1454D4—164no—
1455D4—164no—
1456D4—164no—
1457D4—164no—
1458D4—164no—
1459D4—164no—
1460D4—164no—
1461D4—164no—
1462C2×C4—28no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—48no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—82no—
1533C2×C4—82no—
1534C2×C4—88no—
1535C2×C4—88no—
1536C2×C4—88no—
1537C2×C4—84no—
1538C2×C4—84no—
1539C2×C4—84no—
1540C2×C4—88no—
1541C2×C4—84no—
1542C2×C4—164no—
1543C2×C4C2×H(5,𝔽2)12yes—
1544C2×C4C2×H(5,𝔽2)12yes—
1545C2×C4C2×H(5,𝔽2)12yes—
1546C2×C4C2×H(5,𝔽2)12yes—
1547C2×C4#58514yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—24no—
1552C22—24no—
1553C22—24no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—44no—
1564C22—42no—
1565C22—44no—
1566C22—44no—
1567C22—42no—
1568C22—44no—
1569C22—42no—
1570C22—44no—
1571C22—42no—
1572C22—44no—
1573C22—44no—
1574C22—44no—
1575C22—42no—
1576C22—44no—
1577C22—44no—
1578C22—44no—
1579C22—42no—
1580C22—44no—
1581C22—42no—
1582C22—44no—
1583C22—44no—
1584C22—816no—
1585C22—816no—
1586C22C22×H(5,𝔽2)11yescharacteristic
1587C22C22×H(5,𝔽2)11yescharacteristic
1588C22C2×#58511yescharacteristic
1589C22C2×#58512yes—
1590C22H(7,𝔽2)12yes—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—44no—
1597C4—42no—
1598C4—41no—
1599C4—41no—
1600C4—44no—
1601C4—41no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—44no—
1606C4—44no—
1607C4—44no—
1608C4—42no—
1609C4—42no—
1610C4—44no—
1611C4—41no—
1612C4—42no—
1613C4—41no—
1614C4—41no—
1615C4#352914yes—
1616C2—42no—
1617C2—42no—
1618C2—42no—
1619C2—82no—
1620C2—84no—
1621C2—84no—
1622C2C2×#352911yescharacteristic
1623C2#6281811yescharacteristic
1624C2#6287411yescharacteristic
1625C2#6292012yes—
1626C2#6294112yes—
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. #53115C2semidirect
2. #53112C2semidirect
3. #53103C2semidirect
4. #52991C2semidirect
5. #52988C2semidirect
6. #52986C2semidirect
7. #52873C2semidirect
8. #52717C2semidirect
9. #52673C2semidirect
10. #52664C2semidirect
11. #52662C2semidirect
12. #52634C2semidirect
13. #45693C2semidirect
14. #45688C2semidirect
15. #45655C2semidirect
16. #45638C2semidirect
17. #45592C2semidirect
18. #45483C2semidirect
19. #45476C2semidirect
20. #45471C2semidirect
21. #45461C2semidirect
22. #45448C2semidirect
23. #35591C2semidirect
24. #35588C2semidirect
25. #35567C2semidirect
26. #35271C2semidirect
27. #35226C2semidirect
28. #35226C2semidirect
29. #34963C2semidirect
30. #34935C2semidirect
31. #34876C2semidirect
32. C2×#560C22semidirect
34. C2×#529C22semidirect
37. C22×C4×D4C22semidirect
38. C22×C4×D4C22semidirect
40. #2854C22semidirect
41. #2854C22semidirect
42. #2851C22semidirect
43. #2849C22semidirect
44. #2849C22semidirect
45. #2847C22semidirect
46. #2847C22semidirect
47. #2842C22semidirect
48. #2841C22semidirect
49. #2839C22semidirect
50. #2837C22semidirect
51. #2837C22semidirect
52. #2836C22semidirect
53. #2835C22semidirect
54. #2829C22semidirect
56. #2828C22semidirect
57. #2827C22semidirect
59. #2826C22semidirect
60. #2826C22semidirect
61. #2826C22semidirect
62. #2820C22semidirect
63. #2816C22semidirect
65. #2814C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
70. #2812C22semidirect
71. #2803C22semidirect
72. #2781C22semidirect
73. #2779C22semidirect
74. #2771C22semidirect
76. #2750C22semidirect
77. #2743C22semidirect
78. #2743C22semidirect
79. #2741C22semidirect
80. #2739C22semidirect
81. #2735C22semidirect
82. #2723C22semidirect
83. #2722C22semidirect
84. #2717C22semidirect
85. #2711C22semidirect
86. #2708C22semidirect
87. #2707C22semidirect
88. #2706C22semidirect
89. #2705C22semidirect
90. #2703C22semidirect
91. #2703C22semidirect
92. #2701C22semidirect
93. #2696C22semidirect
95. #2695C22semidirect
96. #2694C22semidirect
97. #2685C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2678C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2671C22semidirect
107. #2671C22semidirect
108. #2671C22semidirect
111. #2669C22semidirect
113. #2668C22semidirect
114. #2668C22semidirect
115. #2647C22semidirect
116. #2644C22semidirect
117. #2644C22semidirect
119. #2635C22semidirect
120. #2635C22semidirect
121. #2630C22semidirect
122. #2630C22semidirect
123. #2611C22semidirect
124. #2611C22semidirect
125. #2610C22semidirect
126. #2610C22semidirect
127. #2604C22semidirect
130. #2598C22semidirect
131. #2596C22semidirect
132. #2595C22semidirect
133. #2584C22semidirect
134. #2580C22semidirect
135. #2578C22semidirect
136. #2575C22semidirect
137. #2573C22semidirect
138. #2564C22semidirect
139. #2564C22semidirect
140. #2562C22semidirect
141. #2559C22semidirect
142. #2559C22semidirect
143. #2558C22semidirect
144. #2558C22semidirect
145. #2555C22semidirect
146. #2554C22semidirect
147. #2553C22semidirect
149. #2543C22semidirect
150. #2543C22semidirect
152. #2538C22semidirect
154. #2536C22semidirect
158. #2534C22semidirect
159. #2531C22semidirect
160. #2531C22semidirect
161. #2531C22semidirect
162. #2529C22semidirect
163. #2526C22semidirect
164. #2526C22semidirect
165. #2513C22semidirect
166. #2512C22semidirect
167. #2508C22semidirect
168. #2506C22semidirect
169. #2501C22semidirect
170. #2500C22semidirect
171. #2498C22semidirect
172. #2497C22semidirect
173. #2496C22semidirect
177. #2487C22semidirect
178. #2487C22semidirect
180. #2486C22semidirect
181. #2485C22semidirect
182. #2482C22semidirect
183. #2479C22semidirect
184. #2471C22semidirect
185. #2468C22semidirect
186. #2464C22semidirect
187. #2464C22semidirect
188. #2464C22semidirect
189. #2461C22semidirect
190. #2457C22semidirect
191. #2457C22semidirect
192. #2457C22semidirect
193. #2454C22semidirect
194. #2454C22semidirect
195. #2454C22semidirect
198. #2445C22semidirect
199. #2444C22semidirect
200. #2444C22semidirect
201. #2442C22semidirect
202. #2442C22semidirect
203. #2442C22semidirect
204. #2441C22semidirect
210. #2428C22semidirect
211. #2425C22semidirect
212. #2425C22semidirect
213. #2424C22semidirect
214. #2424C22semidirect
215. #2420C22semidirect
216. #2420C22semidirect
217. #2420C22semidirect
218. #2418C22semidirect
219. #2418C22semidirect
223. #2416C22semidirect
224. #2416C22semidirect
226. #2414C22semidirect
227. #2414C22semidirect
230. #2408C22semidirect
231. #2408C22semidirect
232. #2408C22semidirect
233. #2408C22semidirect
235. #2399C22semidirect
237. #2398C22semidirect
238. #2398C22semidirect
242. #2392C22semidirect
243. #2377C22semidirect
244. #2377C22semidirect
245. #2375C22semidirect
246. #2330C22semidirect
248. #2324C22semidirect
249. #2324C22semidirect
250. #2319C22semidirect
251. #2319C22semidirect
254. C4×#121C22semidirect
255. C4×#121C22semidirect
256. C4×#121C22semidirect
257. C4×#121C22semidirect
259. C4×#120C22semidirect
260. #2290C22semidirect
261. #2290C22semidirect
262. #2285C22semidirect
263. #2283C22semidirect
264. #2280C22semidirect
265. #2274C22semidirect
266. C2×#376C22semidirect

Maximal subgroups

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

subgroupindex
#531152
#531122
#531032
#529912
#529882
#529862
#528732
#527172
#526732
#526642
#526622
#526342
#456932
#456882
#456552
#456382
#455922
#454832
#454762
#454712
#454612
#454482
#355912
#355882
#355672
#352712
#352262
#349632
#349352
#348762