Finite Group Databasebeta

← #8402583

Subgroups — #8402583

Order 512.

5695 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#59419C212yesmaximal, complemented
2#59097C212yesmaximal, complemented
3#55398C214yesmaximal, complemented
4#54858C214yesmaximal, complemented
5#51898C214yesmaximal, complemented
6#48318C214yesmaximal, complemented
7#48015C214yesmaximal, complemented
8#47937C214yesmaximal, complemented
9#46042C212yesmaximal, complemented
10#45486C212yesmaximal, complemented
11#45434C211yesmaximal, characteristic, complemented
12#44938C211yesmaximal, characteristic, complemented
13#44935C211yesmaximal, characteristic, complemented
14#44931C211yesmaximal, characteristic, complemented
15#43888C214yesmaximal, complemented
16#43418C214yesmaximal, complemented
17#42646C211yesmaximal, characteristic, complemented
18#42425C211yesmaximal, characteristic, complemented
19#40177C212yesmaximal, complemented
20#40122C212yesmaximal, complemented
21#39980C212yesmaximal, complemented
22#39341C212yesmaximal, complemented
23#37322C211yesmaximal, characteristic, complemented
24#36566C211yesmaximal, characteristic, complemented
25#36465C211yesmaximal, characteristic, complemented
26#36412C211yesmaximal, characteristic, complemented
27#36149C211yesmaximal, characteristic, complemented
28#36029C211yesmaximal, characteristic, complemented
29#35739C211yesmaximal, characteristic, complemented
30#35534C211yesmaximal, characteristic, complemented
31#34968C211yesmaximal, characteristic, complemented
32C2×#562C2214yes—
33C2×#555C2211yescharacteristic
34C2×#550C2212yes—
35C2×#550C2212yes—
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×#548C2214yes—
40C2×#540C2211yescharacteristic
41C2×#537C2214yes—
42C2×#532C2212yes—
43C2×#520C2211yescharacteristic
44#2864C2212yes—
45#2862C2211yescharacteristic
46#2858C2211yescharacteristic
47#2858C2212yes—
48#2857C2212yes—
49#2856C2212yes—
50#2829C2214yes—
51#2816C2214yes—
52#2813C2212yes—
53#2813C2212yes—
54#2768C2214yes—
55#2761C2214yes—
56#2757C2214yes—
57#2756C2214yes—
58#2751C2214yes—
59#2748C2214yes—
60#2740C2214yes—
61#2733C2214yes—
62#2732C2214yes—
63#2730C2214yes—
64#2730C2214yes—
65#2730C2214yes—
66#2714C2214yes—
67#2712C2214yes—
68#2711C2214yes—
69#2710C2214yes—
70#2705C2214yes—
71#2704C2214yes—
72#2700C2214yes—
73#2700C2214yes—
74#2699C2214yes—
75#2699C2214yes—
76#2699C2214yes—
77#2694C2214yes—
78#2692C2214yes—
79#2692C2214yes—
80#2692C2214yes—
81#2688C2214yes—
82#2686C2214yes—
83#2686C2214yes—
84#2681C2214yes—
85#2676C2214yes—
86#2676C2214yes—
87#2676C2214yes—
88#2676C2214yes—
89#2676C2214yes—
90#2676C2214yes—
91#2675C2214yes—
92#2675C2214yes—
93#2675C2214yes—
94#2673C2214yes—
95#2673C2214yes—
96#2672C2214yes—
97#2672C2214yes—
98#2671C2214yes—
99#2671C2214yes—
100#2671C2214yes—
101#2671C2214yes—
102#2667C2214yes—
103#2661C2214yes—
104#2656C2212yes—
105#2656C2212yes—
106#2630C2214yes—
107#2628C2211yescharacteristic
108#2627C2212yes—
109#2624C2212yes—
110#2619C2212yes—
111#2619C2211yescharacteristic
112#2615C2212yes—
113#2615C2214yes—
114#2607C2214yes—
115#2589C2214yes—
116#2582C2212yes—
117#2581C2211yescharacteristic
118#2580C2212yes—
119#2580C2211yescharacteristic
120#2574C2214yes—
121#2567C2211yescharacteristic
122#2566C2211yescharacteristic
123#2565C2211yescharacteristic
124#2564C2212yes—
125#2557C2214yes—
126#2556C2214yes—
127#2555C2214yes—
128#2555C2214yes—
129#2555C2214yes—
130#2555C2214yes—
131#2552C2212yes—
132#2549C2214yes—
133#2549C2214yes—
134#2548C2211yescharacteristic
135#2543C2214yes—
136#2543C2214yes—
137#2542C2212yes—
138#2542C2211yescharacteristic
139#2541C2211yescharacteristic
140#2541C2211yescharacteristic
141#2541C2212yes—
142#2541C2211yescharacteristic
143#2541C2212yes—
144#2541C2212yes—
145#2540C2214yes—
146#2540C2214yes—
147#2540C2214yes—
148#2538C2212yes—
149#2537C2212yes—
150#2535C2211yescharacteristic
151#2535C2211yescharacteristic
152#2535C2212yes—
153#2525C2212yes—
154#2521C2212yes—
155#2520C2212yes—
156#2515C2212yes—
157#2513C2212yes—
158#2504C2211yescharacteristic
159#2501C2211yescharacteristic
160#2500C2212yes—
161#2498C2212yes—
162#2491C2212yes—
163#2491C2212yes—
164#2477C2214yes—
165#2471C2214yes—
166#2468C2212yes—
167#2465C2214yes—
168#2465C2212yes—
169#2464C2214yes—
170#2464C2214yes—
171#2461C2212yes—
172#2460C2214yes—
173#2459C2214yes—
174#2458C2212yes—
175#2456C2214yes—
176#2454C2212yes—
177#2452C2212yes—
178#2452C2212yes—
179#2451C2212yes—
180#2451C2212yes—
181#2449C2214yes—
182#2447C2214yes—
183#2445C2212yes—
184#2445C2212yes—
185#2444C2214yes—
186#2443C2214yes—
187#2443C2214yes—
188#2441C2212yes—
189#2440C2212yes—
190#2439C2212yes—
191#2438C2214yes—
192#2436C2214yes—
193#2431C2211yescharacteristic
194#2431C2212yes—
195#2431C2214yes—
196#2431C2212yes—
197#2431C2214yes—
198#2431C2211yescharacteristic
199#2430C2214yes—
200#2430C2214yes—
201#2430C2212yes—
202#2430C2214yes—
203#2430C2214yes—
204#2428C2214yes—
205#2428C2212yes—
206#2428C2212yes—
207#2428C2214yes—
208#2428C2214yes—
209#2428C2212yes—
210#2428C2212yes—
211#2428C2212yes—
212#2428C2212yes—
213#2427C2214yes—
214#2422C2212yes—
215#2420C2212yes—
216#2420C2214yes—
217#2420C2212yes—
218#2420C2212yes—
219#2416C2214yes—
220#2416C2214yes—
221#2416C2212yes—
222#2414C2212yes—
223#2409C2212yes—
224#2407C2214yes—
225#2407C2214yes—
226#2399C2211yescharacteristic
227#2398C2211yescharacteristic
228#2396C2211yescharacteristic
229#2392C2211yescharacteristic
230#2392C2212yes—
231C2×#395C2212yes—
232#2377C2214yes—
233#2368C2214yes—
234#2367C2212yes—
235#2364C2214yes—
236#2363C2214yes—
237#2363C2212yes—
238#2351C2211yescharacteristic
239#2349C2211yescharacteristic
240#2349C2211yescharacteristic
241#2349C2211yescharacteristic
242D4×C4⋊C4C2212yes—
243#2341C2212yes—
244#2339C2212yes—
245#2339C2214yes—
246#2339C2212yes—
247#2339C2214yes—
248#2333C2214yes—
249#2331C2211yescharacteristic
250#2329C2214yes—
251#2328C2211yescharacteristic
252#2328C2211yescharacteristic
253#2326C2211yescharacteristic
254#2322C2214yes—
255C4×#127C2212yes—
256C4×#127C2211yescharacteristic
257C4×#126C2212yes—
258C4×#124C2212yes—
259C4×#124C2212yes—
260C4×#124C2211yescharacteristic
261C4×C22⋊Q8C2212yes—
262C4×#123C2212yes—
263#2298C2211yescharacteristic
264#2297C2212yes—
265C42×Q8C2211yescharacteristic
266C42×D4C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C22×#41C2314yes—
270C22×#41C2314yes—
271C22×#41C2312yes—
272C23×Q8C2312yes—
273#562—416no—
274#555—44no—
275#550—44no—
276#550—44no—
277#550—48no—
278#550—48no—
279D4×Q8—44no—
280#548—416no—
281#540—44no—
282#537—416no—
283#532—48no—
284C2×C4⋊Q8C2311yescharacteristic
285C2×C4⋊Q8C2312yes—
286C2×C4⋊Q8C2312yes—
287C2×#127C2311yescharacteristic
288C2×#127C2312yes—
289C2×#127C2311yescharacteristic
290C2×#127C2311yescharacteristic
291C2×#127C2312yes—
292C2×#127C2312yes—
293C2×#127C2312yes—
294C2×#127C2314yes—
295C2×#127C2311yescharacteristic
296C2×#126C2312yes—
297C2×#125C2311yescharacteristic
298C2×#125C2314yes—
299C2×#124C2311yescharacteristic
300C2×#124C2311yescharacteristic
301C2×#124C2314yes—
302C2×#124C2314yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#124C2312yes—
308C2×#124C2314yes—
309C2×#123C2312yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2312yes—
314C2×#123C2314yes—
315C2×#123C2312yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2311yescharacteristic
362C2×#121C2314yes—
363#520—44no—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C22×C4⋊C4C2314yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C42C2312yes—
399#400C2312yes—
400#400C2311yescharacteristic
401#400C2312yes—
402#400C2312yes—
403#399C2314yes—
404#399C2314yes—
405#399C2311yescharacteristic
406#399C2314yes—
407#399C2312yes—
408#399C2314yes—
409#399C2314yes—
410#399C2312yes—
411#399C2312yes—
412#399C2314yes—
413#399C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2311yescharacteristic
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2311yescharacteristic
429#397C2312yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2312yes—
443#396C2314yes—
444#396C2312yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#395C2312yes—
449#395C2312yes—
450#395C2314yes—
451#395C2312yes—
452#395C2312yes—
453#395C2311yescharacteristic
454#395C2314yes—
455#395C2314yes—
456#395C2312yes—
457#395C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2311yescharacteristic
470#394C2312yes—
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#393C2314yes—
487#393C2314yes—
488#393C2312yes—
489#393C2314yes—
490#393C2312yes—
491#393C2314yes—
492#393C2311yescharacteristic
493#393C2312yes—
494#393C2314yes—
495#393C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2312yes—
499#392C2314yes—
500#392C2312yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2312yes—
507#392C2312yes—
508#392C2312yes—
509#392C2311yescharacteristic
510#392C2312yes—
511#392C2312yes—
512#392C2314yes—
513#392C2314yes—
514#392C2312yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#391C2311yescharacteristic
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2314yes—
527#391C2312yes—
528#391C2314yes—
529#391C2314yes—
530#391C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2314yes—
534#391C2312yes—
535#391C2314yes—
536#391C2312yes—
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2311yescharacteristic
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2314yes—
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#390C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2312yes—
681#383C2312yes—
682#382C2311yescharacteristic
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#381C2312yes—
690#381C2314yes—
691#381C2314yes—
692#381C2314yes—
693#381C2314yes—
694#381C2314yes—
695#380C2314yes—
696#380C2312yes—
697#380C2314yes—
698#380C2314yes—
699#380C2312yes—
700#380C2312yes—
701#380C2314yes—
702#380C2312yes—
703#380C2314yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2311yescharacteristic
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2311yescharacteristic
738#376C2311yescharacteristic
739C2×#95C2312yes—
740C2×#95C2314yes—
741C2×#95C2312yes—
742C2×#95C2314yes—
743C2×#95C2312yes—
744C43C2312yes—
745C43C2311yescharacteristic
746C2×#41—24no—
747C2×#41—28no—
748C2×#41—24no—
749C2×#41—48no—
750C2×#41—48no—
751C2×#41—48no—
752C2×#41—42no—
753C2×#41—48no—
754C2×#41—48no—
755C2×#41—48no—
756C2×#41—44no—
757C2×#41—44no—
758C2×#41—44no—
759C2×#41—48no—
760C22×Q8—48no—
761C22×Q8—44no—
762C22×Q8C2411yescharacteristic
763C22×Q8C2412yes—
764C22×Q8C2411yescharacteristic
765C22×Q8C2414yes—
766C22×Q8C2412yes—
767C22×Q8C2414yes—
768C22×D4C2411yescharacteristic
769C22×D4C2411yescharacteristic
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2412yes—
774C22×D4C2411yescharacteristic
775C22×D4C2411yescharacteristic
776C22×D4C2414yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2412yes—
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2412yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2412yes—
795C23×C4C2411yescharacteristic
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2414yes—
799C23×C4C2412yes—
800C23×C4C2412yes—
801C23×C4C2414yes—
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2414yes—
805C23×C4C2414yes—
806C23×C4C2414yes—
807C23×C4C2412yes—
808C23×C4C2414yes—
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2414yes—
812C4⋊Q8—24no—
813C4⋊Q8—44no—
814C4⋊Q8—44no—
815#127—24no—
816#127—28no—
817#127—24no—
818#127—24no—
819#127—42no—
820#127—44no—
821#127—44no—
822#127—44no—
823#127—48no—
824#126—44no—
825#125—42no—
826#125—48no—
827#124—24no—
828#124—24no—
829#124—48no—
830#124—48no—
831#124—48no—
832#124—48no—
833#124—44no—
834#124—48no—
835#124—48no—
836#124—48no—
837#123—28no—
838#123—48no—
839#123—48no—
840#123—44no—
841#123—44no—
842#123—48no—
843#123—48no—
844C22⋊Q8—28no—
845C22⋊Q8—216no—
846C22⋊Q8—216no—
847C22⋊Q8—48no—
848C22⋊Q8—48no—
849C22⋊Q8—48no—
850C22⋊Q8—48no—
851C22⋊Q8—48no—
852C22⋊Q8—48no—
853C22⋊Q8—44no—
854C22⋊Q8—48no—
855#121—28no—
856#121—216no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—44no—
862#121—44no—
863#121—48no—
864#121—48no—
865#121—48no—
866#121—48no—
867#121—48no—
868#121—48no—
869#121—48no—
870#121—48no—
871#121—48no—
872#121—48no—
873#121—48no—
874#121—48no—
875#121—48no—
876#121—48no—
877#121—48no—
878#121—48no—
879#121—48no—
880#121—44no—
881#121—42no—
882#121—42no—
883#121—44no—
884#121—44no—
885#121—44no—
886#121—44no—
887#121—44no—
888#121—48no—
889#121—48no—
890#121—48no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—44no—
895C4×Q8—42no—
896C4×Q8—44no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—44no—
903C4×D4—42no—
904C4×D4—44no—
905C4×D4—48no—
906C4×D4—48no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—48no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—48no—
917C4×D4—48no—
918#117—24no—
919#117—44no—
920#117—44no—
921#117—44no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—42no—
924C2×C4⋊C4—48no—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C42—44no—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2412yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2411yescharacteristic
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111C24C2514yes—
1112C24C2511yescharacteristic
1113C24C2512yes—
1114C24C2512yes—
1115C24C2512yes—
1116C24C2512yes—
1117#41—416no—
1118#41—832no—
1119#41—816no—
1120#41—832no—
1121#41—816no—
1122C2×Q8—22no—
1123C2×Q8—24no—
1124C2×Q8—22no—
1125C2×Q8—22no—
1126C2×Q8—24no—
1127C2×Q8—28no—
1128C2×Q8—28no—
1129C2×Q8—24no—
1130C2×Q8—24no—
1131C2×Q8—42no—
1132C2×Q8—44no—
1133C2×Q8—44no—
1134C2×Q8—44no—
1135C2×Q8—44no—
1136C2×Q8—44no—
1137C2×Q8—816no—
1138C2×Q82−1+414yes—
1139C2×D4—28no—
1140C2×D4—28no—
1141C2×D4—24no—
1142C2×D4—28no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—28no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—28no—
1165C2×D4—28no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—42no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
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—44no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4H(5,𝔽2)14yes—
1213C22×C4—28no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—28no—
1225C22×C4—24no—
1226C22×C4—28no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—28no—
1230C22×C4—28no—
1231C22×C4—24no—
1232C22×C4—28no—
1233C22×C4—28no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2514yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—28no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4H(5,𝔽2)18yes—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—24no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
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—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
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—42no—
1394C22⋊C4—42no—
1395C42—22no—
1396C42—24no—
1397C42—22no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—42no—
1408C42—42no—
1409C42—44no—
1410C42—42no—
1411C42—42no—
1412C42—44no—
1413C42—42no—
1414C42—44no—
1415C42—42no—
1416C42H(5,𝔽2)14yes—
1417C23—22no—
1418C23—24no—
1419C23—22no—
1420C23—24no—
1421C23—24no—
1422C23—22no—
1423C23—24no—
1424C23—21no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—24no—
1429C23—24no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—21no—
1434C23—24no—
1435C23—24no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—21no—
1441C23—22no—
1442C23—24no—
1443C23—22no—
1444C23—24no—
1445C23—22no—
1446C23—24no—
1447C23—22no—
1448C23—24no—
1449C23—24no—
1450C23C2×H(5,𝔽2)14yes—
1451C23C2611yescharacteristic
1452Q8—28no—
1453Q8—28no—
1454Q8—48no—
1455Q8—88no—
1456Q8—84no—
1457Q8—88no—
1458D4—28no—
1459D4—48no—
1460D4—416no—
1461D4—416no—
1462D4—44no—
1463D4—44no—
1464D4—44no—
1465D4—48no—
1466D4—84no—
1467D4—84no—
1468D4—88no—
1469D4—88no—
1470D4—88no—
1471D4—84no—
1472D4—88no—
1473D4—88no—
1474D4—88no—
1475D4—88no—
1476D4—164no—
1477D4—164no—
1478D4—162no—
1479D4—164no—
1480D4—162no—
1481D4—164no—
1482D4—162no—
1483D4—162no—
1484D4—164no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—48no—
1543C2×C4—48no—
1544C2×C4—416no—
1545C2×C4—44no—
1546C2×C4—48no—
1547C2×C4—84no—
1548C2×C4—84no—
1549C2×C4—84no—
1550C2×C4—88no—
1551C2×C4—88no—
1552C2×C4—88no—
1553C2×C4—88no—
1554C2×C4—84no—
1555C2×C4—88no—
1556C2×C4—88no—
1557C2×C4—162no—
1558C2×C4—162no—
1559C2×C4C2×H(5,𝔽2)12yes—
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×H(5,𝔽2)12yes—
1566C2×C4C2×2−1+414yes—
1567C2×C4C2×2−1+412yes—
1568C2×C4#58514yes—
1569C22—24no—
1570C22—28no—
1571C22—44no—
1572C22—42no—
1573C22—42no—
1574C22—41no—
1575C22—42no—
1576C22—44no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—44no—
1581C22—44no—
1582C22—44no—
1583C22—42no—
1584C22—42no—
1585C22—44no—
1586C22—44no—
1587C22—42no—
1588C22—44no—
1589C22—42no—
1590C22—42no—
1591C22—44no—
1592C22—44no—
1593C22—44no—
1594C22—42no—
1595C22—41no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—44no—
1601C22—42no—
1602C22—41no—
1603C22C22×H(5,𝔽2)11yescharacteristic
1604C22C22×H(5,𝔽2)11yescharacteristic
1605C22C22×H(5,𝔽2)12yes—
1606C22C22×2−1+411yescharacteristic
1607C22C2×#58512yes—
1608C4—24no—
1609C4—24no—
1610C4—24no—
1611C4—24no—
1612C4—24no—
1613C4—22no—
1614C4—22no—
1615C4—41no—
1616C4—42no—
1617C4—44no—
1618C4—42no—
1619C4—44no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—44no—
1627C4—41no—
1628C4—42no—
1629C4—42no—
1630C4—41no—
1631C4—42no—
1632C4#353614yes—
1633C2—44no—
1634C2—81no—
1635C2—82no—
1636C2—84no—
1637C2—82no—
1638C2—82no—
1639C2C2×#353611yescharacteristic
1640C2#6283211yescharacteristic
1641C2#6283611yescharacteristic
1642C2#6301212yes—
1643C2#6303912yes—
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. #59419C2semidirect
2. #59097C2semidirect
3. #55398C2semidirect
4. #54858C2semidirect
5. #51898C2semidirect
6. #48318C2semidirect
7. #48015C2semidirect
8. #47937C2semidirect
9. #46042C2semidirect
10. #45486C2semidirect
11. #45434C2semidirect
12. #44938C2semidirect
13. #44935C2semidirect
14. #44931C2semidirect
15. #43888C2semidirect
16. #43418C2semidirect
17. #42646C2semidirect
18. #42425C2semidirect
19. #40177C2semidirect
20. #40122C2semidirect
21. #39980C2semidirect
22. #39341C2semidirect
23. #37322C2semidirect
24. #36566C2semidirect
25. #36465C2semidirect
26. #36412C2semidirect
27. #36149C2semidirect
28. #36029C2semidirect
29. #35739C2semidirect
30. #35534C2semidirect
31. #34968C2semidirect

Maximal subgroups

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

subgroupindex
#594192
#590972
#553982
#548582
#518982
#483182
#480152
#479372
#460422
#454862
#454342
#449382
#449352
#449312
#438882
#434182
#426462
#424252
#401772
#401222
#399802
#393412
#373222
#365662
#364652
#364122
#361492
#360292
#357392
#355342
#349682