Finite Group Databasebeta

← #7657595

Subgroups — #7657595

Order 512.

4739 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42907C212yesmaximal, complemented
2#42904C212yesmaximal, complemented
3#42838C212yesmaximal, complemented
4#42833C212yesmaximal, complemented
5#41483C214yesmaximal, complemented
6#41466C214yesmaximal, complemented
7#40862C214yesmaximal, complemented
8#40822C214yesmaximal, complemented
9#39387C211yesmaximal, characteristic, complemented
10#39381C212yesmaximal, complemented
11#39377C211yesmaximal, characteristic, complemented
12#39374C212yesmaximal, complemented
13#39149C211yesmaximal, characteristic, complemented
14#39148C211yesmaximal, characteristic, complemented
15#39143C212yesmaximal, complemented
16#39142C212yesmaximal, complemented
17#37628C211yesmaximal, characteristic, complemented
18#37626C211yesmaximal, characteristic, complemented
19#37579C212yesmaximal, complemented
20#37570C212yesmaximal, complemented
21#36598C211yesmaximal, characteristic, complemented
22#36597C211yesmaximal, characteristic, complemented
23#36504C211yesmaximal, characteristic, complemented
24#36493C211yesmaximal, characteristic, complemented
25#36044C212yesmaximal, complemented
26#36000C212yesmaximal, complemented
27#35897C212yesmaximal, complemented
28#35813C212yesmaximal, complemented
29#35331C212yesmaximal, complemented
30#35277C211yesmaximal, characteristic, complemented
31#34619C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34331C211yesmaximal, characteristic, complemented
34#34322C211yesmaximal, characteristic, complemented
35#34125C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#542C2212yes—
39C2×#542C2212yes—
40C2×#542C2212yes—
41C2×C4×#41C2211yescharacteristic
42#2868C2211yescharacteristic
43#2862C2212yes—
44#2858C2212yes—
45#2858C2211yescharacteristic
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2850C2212yes—
49#2850C2212yes—
50#2837C2214yes—
51#2836C2214yes—
52#2836C2214yes—
53#2829C2214yes—
54#2828C2214yes—
55#2828C2214yes—
56#2783C2214yes—
57#2782C2214yes—
58#2781C2214yes—
59#2780C2214yes—
60#2779C2214yes—
61#2778C2214yes—
62#2776C2214yes—
63#2765C2214yes—
64#2749C2214yes—
65#2739C2214yes—
66#2733C2214yes—
67#2732C2214yes—
68#2730C2214yes—
69#2727C2214yes—
70#2718C2214yes—
71#2710C2214yes—
72#2710C2214yes—
73#2708C2214yes—
74#2705C2214yes—
75#2689C2214yes—
76#2689C2214yes—
77#2688C2214yes—
78#2682C2214yes—
79#2674C2214yes—
80#2667C2214yes—
81#2661C2214yes—
82#2654C2214yes—
83#2654C2214yes—
84#2654C2212yes—
85#2653C2212yes—
86#2653C2214yes—
87#2651C2214yes—
88#2651C2214yes—
89#2650C2212yes—
90#2650C2214yes—
91#2649C2214yes—
92#2649C2214yes—
93#2649C2212yes—
94#2648C2214yes—
95#2648C2214yes—
96#2648C2214yes—
97#2647C2211yescharacteristic
98#2647C2212yes—
99#2645C2212yes—
100#2645C2211yescharacteristic
101#2644C2212yes—
102#2644C2211yescharacteristic
103#2644C2212yes—
104#2640C2211yescharacteristic
105#2640C2212yes—
106#2635C2214yes—
107#2628C2211yescharacteristic
108#2628C2212yes—
109#2625C2212yes—
110#2625C2211yescharacteristic
111#2624C2211yescharacteristic
112#2624C2212yes—
113#2624C2212yes—
114#2621C2212yes—
115#2620C2211yescharacteristic
116#2620C2212yes—
117#2620C2212yes—
118#2619C2212yes—
119#2619C2212yes—
120#2582C2212yes—
121#2578C2214yes—
122#2576C2214yes—
123#2571C2211yescharacteristic
124#2571C2211yescharacteristic
125#2570C2212yes—
126#2570C2212yes—
127#2570C2212yes—
128#2568C2212yes—
129#2560C2214yes—
130#2560C2214yes—
131#2560C2214yes—
132#2560C2214yes—
133#2557C2214yes—
134#2557C2214yes—
135#2557C2214yes—
136#2557C2214yes—
137#2554C2214yes—
138#2554C2214yes—
139#2554C2214yes—
140#2554C2214yes—
141#2548C2212yes—
142#2546C2211yescharacteristic
143#2545C2212yes—
144#2544C2212yes—
145#2542C2211yescharacteristic
146#2541C2211yescharacteristic
147#2541C2211yescharacteristic
148#2540C2212yes—
149#2540C2212yes—
150#2538C2211yescharacteristic
151#2538C2212yes—
152#2537C2211yescharacteristic
153#2536C2212yes—
154#2535C2212yes—
155#2535C2212yes—
156#2531C2214yes—
157#2526C2214yes—
158#2525C2214yes—
159#2521C2214yes—
160#2521C2214yes—
161#2516C2214yes—
162#2515C2214yes—
163#2513C2212yes—
164#2512C2212yes—
165#2512C2212yes—
166#2512C2212yes—
167#2511C2214yes—
168#2510C2214yes—
169#2509C2212yes—
170#2507C2212yes—
171#2504C2212yes—
172#2501C2212yes—
173#2497C2212yes—
174#2496C2212yes—
175#2494C2212yes—
176#2491C2212yes—
177#2491C2212yes—
178#2491C2212yes—
179#2488C2214yes—
180#2488C2214yes—
181#2479C2214yes—
182#2476C2214yes—
183#2471C2214yes—
184#2471C2214yes—
185#2467C2214yes—
186#2457C2214yes—
187#2456C2214yes—
188#2452C2212yes—
189#2452C2212yes—
190#2448C2212yes—
191#2446C2214yes—
192#2445C2212yes—
193#2444C2214yes—
194#2440C2212yes—
195#2431C2212yes—
196#2429C2212yes—
197#2429C2212yes—
198#2428C2212yes—
199#2428C2212yes—
200#2428C2212yes—
201#2427C2212yes—
202#2426C2214yes—
203#2426C2212yes—
204#2426C2212yes—
205#2426C2214yes—
206#2426C2212yes—
207#2423C2212yes—
208#2423C2212yes—
209#2422C2212yes—
210#2422C2212yes—
211#2422C2212yes—
212#2421C2212yes—
213#2421C2212yes—
214#2420C2212yes—
215#2420C2212yes—
216#2420C2212yes—
217#2420C2212yes—
218#2416C2212yes—
219#2407C2212yes—
220#2401C2214yes—
221#2401C2212yes—
222#2398C2214yes—
223#2398C2212yes—
224#2396C2212yes—
225#2396C2214yes—
226#2395C2214yes—
227#2395C2212yes—
228#2373C2214yes—
229#2367C2212yes—
230#2367C2212yes—
231#2367C2212yes—
232#2366C2211yescharacteristic
233#2366C2212yes—
234#2365C2211yescharacteristic
235#2365C2212yes—
236#2363C2212yes—
237#2363C2212yes—
238#2363C2212yes—
239#2363C2212yes—
240#2360C2212yes—
241#2359C2214yes—
242#2357C2211yescharacteristic
243#2357C2212yes—
244#2357C2211yescharacteristic
245#2357C2212yes—
246#2355C2211yescharacteristic
247#2355C2211yescharacteristic
248#2355C2212yes—
249#2354C2212yes—
250#2354C2212yes—
251#2351C2212yes—
252#2351C2211yescharacteristic
253#2351C2211yescharacteristic
254Q8×C4⋊C4C2211yescharacteristic
255#2349C2212yes—
256D4×C4⋊C4C2211yescharacteristic
257#2347C2212yes—
258#2347C2212yes—
259#2347C2211yescharacteristic
260#2347C2211yescharacteristic
261#2346C2212yes—
262#2341C2211yescharacteristic
263#2341C2211yescharacteristic
264#2335C2214yes—
265#2334C2214yes—
266#2328C2212yes—
267#2327C2212yes—
268#2326C2212yes—
269#2326C2212yes—
270#2323C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#124C2212yes—
276C4×#124C2212yes—
277C4×#124C2212yes—
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283#2295C2212yes—
284#2295C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2293C2212yes—
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2293C2211yescharacteristic
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2275C2212yes—
294#2274C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#559—28no—
301#556—28no—
302#542—48no—
303#542—48no—
304#542—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C4×#41—28no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2314yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2314yes—
391C22×C4⋊C4C2312yes—
392C22×C42C2312yes—
393C22×C42C2311yescharacteristic
394#401C2312yes—
395#401C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2312yes—
418#399C2314yes—
419#399C2314yes—
420#399C2312yes—
421#399C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2312yes—
434#398C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#395C2314yes—
475#395C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#393C2312yes—
500#393C2312yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2312yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2311yescharacteristic
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2311yescharacteristic
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2314yes—
559#390C2311yescharacteristic
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2311yescharacteristic
566#390C2314yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2314yes—
603#389C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2314yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#383C2312yes—
709#383C2312yes—
710#383C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#381C2312yes—
724#381C2312yes—
725#381C2312yes—
726#381C2314yes—
727#381C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810#376C2311yescharacteristic
811C2×#95C2314yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—24no—
817C2×#41—42no—
818C2×#41—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2414yes—
823C22×Q8C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—28no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—82no—
854#127—24no—
855#127—44no—
856#127—44no—
857#126—216no—
858#126—48no—
859#126—48no—
860#126—48no—
861#124—28no—
862#124—28no—
863#124—28no—
864#124—24no—
865#124—28no—
866#124—44no—
867#124—48no—
868#124—48no—
869#124—48no—
870#123—216no—
871#123—48no—
872#123—48no—
873#123—48no—
874#123—84no—
875C22⋊Q8—28no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—42no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884#121—44no—
885#121—44no—
886#121—44no—
887#121—44no—
888#121—44no—
889#121—42no—
890#121—44no—
891#121—44no—
892#121—44no—
893#121—84no—
894#121—82no—
895#121—84no—
896C4×Q8—24no—
897C4×Q8—28no—
898C4×Q8—24no—
899C4×Q8—44no—
900C4×Q8—42no—
901C4×Q8—42no—
902C4×Q8—42no—
903C4×Q8—42no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—84no—
908C4×Q8#4118yes—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—28no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—82no—
923C4×D4—84no—
924#117—24no—
925#117—28no—
926#117—28no—
927#117—24no—
928#117—28no—
929#117—42no—
930#117—44no—
931#117—44no—
932#117—84no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C42—28no—
1061C2×C42—24no—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2412yes—
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24C2512yes—
1171C24C2514yes—
1172C24C2511yescharacteristic
1173C24C2512yes—
1174#41—416no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—28no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—42no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—42no—
1189C2×Q8C2×#4114yes—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—28no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—42no—
1249C22×C4—41no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—41no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2514yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4C2×#4114yes—
1356C4⋊C4C2×#4118yes—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—22no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—22no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C42—22no—
1420C42—24no—
1421C42—22no—
1422C42—24no—
1423C42—22no—
1424C42—28no—
1425C42—24no—
1426C42—22no—
1427C42—24no—
1428C42—22no—
1429C42—22no—
1430C42—24no—
1431C42—22no—
1432C42—24no—
1433C42—22no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—42no—
1438C42—41no—
1439C42—42no—
1440C42—41no—
1441C42—42no—
1442C42—44no—
1443C42—41no—
1444C42—44no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—42no—
1453C42—41no—
1454C42C2×#4118yes—
1455C42C2×#4114yes—
1456C42H(5,𝔽2)14yes—
1457C23—22no—
1458C23—24no—
1459C23—22no—
1460C23—21no—
1461C23—22no—
1462C23—21no—
1463C23—24no—
1464C23—22no—
1465C23—21no—
1466C23—22no—
1467C23—22no—
1468C23—24no—
1469C23—24no—
1470C23—21no—
1471C23—24no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—21no—
1476C23—22no—
1477C23—22no—
1478C23—24no—
1479C23—22no—
1480C23—21no—
1481C23—21no—
1482C23—22no—
1483C23—22no—
1484C23—24no—
1485C23C2611yescharacteristic
1486Q8—28no—
1487Q8—44no—
1488Q8—48no—
1489Q8—84no—
1490Q8—88no—
1491D4—48no—
1492D4—48no—
1493D4—44no—
1494D4—44no—
1495D4—48no—
1496D4—84no—
1497D4—84no—
1498D4—88no—
1499D4—164no—
1500D4—164no—
1501D4—164no—
1502D4—164no—
1503D4—164no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—48no—
1587C2×C4—48no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—88no—
1592C2×C4—84no—
1593C2×C4—82no—
1594C2×C4—164no—
1595C2×C4—164no—
1596C2×C4—164no—
1597C2×C4C22×#4114yes—
1598C2×C4C22×#4114yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4112yes—
1602C2×C4C2×H(5,𝔽2)12yes—
1603C2×C4C2×H(5,𝔽2)12yes—
1604C2×C4C2×H(5,𝔽2)12yes—
1605C2×C4#58512yes—
1606C2×C4#58512yes—
1607C2×C4#58512yes—
1608C22—42no—
1609C22—41no—
1610C22—42no—
1611C22—44no—
1612C22—44no—
1613C22—42no—
1614C22—41no—
1615C22—42no—
1616C22—44no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—42no—
1623C22—44no—
1624C22—42no—
1625C22—41no—
1626C22—42no—
1627C22—44no—
1628C22—42no—
1629C22—44no—
1630C22—41no—
1631C22—42no—
1632C22—42no—
1633C22—44no—
1634C22—42no—
1635C22—41no—
1636C22C23×#4111yescharacteristic
1637C22C22×H(5,𝔽2)11yescharacteristic
1638C22C2×#58511yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22H(7,𝔽2)11yescharacteristic
1642C222−1+611yescharacteristic
1643C4—24no—
1644C4—22no—
1645C4—22no—
1646C4—24no—
1647C4—22no—
1648C4—41no—
1649C4—42no—
1650C4—42no—
1651C4—44no—
1652C4—42no—
1653C4—41no—
1654C4—41no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—41no—
1659C4—41no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—41no—
1665C4—42no—
1666C4—41no—
1667C4—44no—
1668C4—44no—
1669C4—41no—
1670C4—41no—
1671C4—42no—
1672C4#345514yes—
1673C4#351714yes—
1674C2—82no—
1675C2—81no—
1676C2—84no—
1677C2—82no—
1678C2C2×#345511yescharacteristic
1679C2C2×#351711yescharacteristic
1680C2#6285711yescharacteristic
1681C2#6293111yescharacteristic
1682C2#6293811yescharacteristic
1683C2#6296111yescharacteristic
1684C2#6296811yescharacteristic
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. #42907C2semidirect
2. #42904C2semidirect
3. #42838C2semidirect
4. #42833C2semidirect
5. #41483C2semidirect
6. #41466C2semidirect
7. #40862C2semidirect
8. #40822C2semidirect
9. #39387C2semidirect
10. #39381C2semidirect
11. #39377C2semidirect
12. #39374C2semidirect
13. #39149C2semidirect
14. #39148C2semidirect
15. #39143C2semidirect
16. #39142C2semidirect
17. #37628C2semidirect
18. #37626C2semidirect
19. #37579C2semidirect
20. #37570C2semidirect
21. #36598C2semidirect
22. #36597C2semidirect
23. #36504C2semidirect
24. #36493C2semidirect
25. #36044C2semidirect
26. #36000C2semidirect
27. #35897C2semidirect
28. #35813C2semidirect
29. #35331C2semidirect
30. #35277C2semidirect
31. #34619C2semidirect
32. #34619C2semidirect
33. #34331C2semidirect
34. #34322C2semidirect
35. #34125C2semidirect

Maximal subgroups

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

subgroupindex
#429072
#429042
#428382
#428332
#414832
#414662
#408622
#408222
#393872
#393812
#393772
#393742
#391492
#391482
#391432
#391422
#376282
#376262
#375792
#375702
#365982
#365972
#365042
#364932
#360442
#360002
#358972
#358132
#353312
#352772
#346192
#343312
#343222
#341252