Finite Group Databasebeta

← #8157309

Subgroups — #8157309

Order 512.

5640 conjugacy classes of subgroups.

The subgroup lattice has 1685 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59046C212yesmaximal, complemented
2#59030C212yesmaximal, complemented
3#57300C214yesmaximal, complemented
4#57292C214yesmaximal, complemented
5#56294C214yesmaximal, complemented
6#54572C214yesmaximal, complemented
7#53105C212yesmaximal, complemented
8#53000C212yesmaximal, complemented
9#52320C214yesmaximal, complemented
10#45053C212yesmaximal, complemented
11#44876C212yesmaximal, complemented
12#42967C212yesmaximal, complemented
13#42616C212yesmaximal, complemented
14#42580C212yesmaximal, complemented
15#42528C212yesmaximal, complemented
16#40725C214yesmaximal, complemented
17#39511C211yesmaximal, characteristic, complemented
18#39358C211yesmaximal, characteristic, complemented
19#38124C212yesmaximal, complemented
20#37891C212yesmaximal, complemented
21#37744C212yesmaximal, complemented
22#37674C212yesmaximal, complemented
23#37452C212yesmaximal, complemented
24#36721C212yesmaximal, complemented
25#36153C211yesmaximal, characteristic, complemented
26#36101C211yesmaximal, characteristic, complemented
27#35103C211yesmaximal, characteristic, complemented
28C2×#2445C211yesmaximal, characteristic, complemented
29#34584C211yesmaximal, characteristic, complemented
30C2×#550C2211yescharacteristic, complemented
31C2×#547C2211yescharacteristic, complemented
32C2×#546C2212yescomplemented
33C2×D42C2212yes—
34C2×#535C2212yescomplemented
35C2×#534C2212yes—
36C22×#127C2211yescharacteristic
37C2×#529C2212yescomplemented
38C2×#525C2212yescomplemented
39C22×#123C2212yescomplemented
40C22×C4×D4C2211yescharacteristic, complemented
41#2857C2211yescharacteristic, complemented
42#2856C2211yescharacteristic
43#2850C2212yescomplemented
44#2847C2212yes—
45#2847C2212yescomplemented
46#2829C2214yescomplemented
47#2829C2214yescomplemented
48#2829C2214yescomplemented
49#2828C2214yescomplemented
50#2827C2214yescomplemented
51#2826C2214yescomplemented
52#2825C2214yescomplemented
53#2825C2214yescomplemented
54#2814C2214yescomplemented
55#2813C2214yescomplemented
56#2813C2214yescomplemented
57#2812C2214yescomplemented
58#2808C2212yescomplemented
59#2800C2214yescomplemented
60#2800C2214yescomplemented
61#2797C2214yescomplemented
62#2781C2214yescomplemented
63#2778C2214yescomplemented
64#2772C2214yescomplemented
65#2765C2214yescomplemented
66#2757C2214yescomplemented
67#2756C2214yescomplemented
68#2756C2214yescomplemented
69#2753C2214yescomplemented
70#2749C2214yescomplemented
71#2746C2214yescomplemented
72#2741C2214yescomplemented
73#2727C2212yescomplemented
74#2714C2214yescomplemented
75#2714C2214yescomplemented
76#2708C2214yescomplemented
77#2706C2214yescomplemented
78#2706C2214yescomplemented
79#2706C2214yescomplemented
80#2706C2214yescomplemented
81#2705C2214yescomplemented
82#2703C2214yescomplemented
83#2699C2214yescomplemented
84#2697C2214yescomplemented
85#2697C2214yescomplemented
86#2696C2214yescomplemented
87#2693C2214yescomplemented
88#2691C2214yescomplemented
89#2691C2214yescomplemented
90#2688C2214yescomplemented
91#2685C2214yescomplemented
92#2685C2214yescomplemented
93#2682C2212yescomplemented
94#2679C2212yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2669C2214yescomplemented
105#2669C2214yescomplemented
106#2668C2214yescomplemented
107#2668C2214yescomplemented
108#2661C2214yescomplemented
109#2657C2212yes—
110#2655C2212yescomplemented
111#2654C2212yescomplemented
112#2651C2212yescomplemented
113#2650C2212yescomplemented
114#2648C2214yescomplemented
115#2646C2211yescharacteristic, complemented
116#2644C2212yescomplemented
117#2643C2212yescomplemented
118#2639C2211yescharacteristic
119#2636C2214yescomplemented
120#2630C2214yescomplemented
121#2630C2214yescomplemented
122#2627C2211yescharacteristic, complemented
123#2626C2212yescomplemented
124#2625C2212yescomplemented
125#2623C2212yescomplemented
126#2622C2214yescomplemented
127#2619C2212yes—
128#2618C2211yescharacteristic
129#2618C2212yescomplemented
130#2618C2212yescomplemented
131#2618C2214yescomplemented
132#2618C2214yescomplemented
133#2617C2212yes—
134#2601C2214yescomplemented
135#2601C2214yescomplemented
136#2592C2212yescomplemented
137#2591C2214yescomplemented
138#2579C2214yescomplemented
139#2576C2214yescomplemented
140#2566C2212yescomplemented
141#2565C2212yescomplemented
142#2548C2212yescomplemented
143#2547C2211yescharacteristic, complemented
144#2545C2212yescomplemented
145#2545C2212yescomplemented
146#2544C2212yescomplemented
147#2544C2212yescomplemented
148#2544C2212yescomplemented
149#2543C2214yescomplemented
150#2541C2212yes—
151#2541C2211yescharacteristic, complemented
152#2539C2214yescomplemented
153#2538C2211yescharacteristic, complemented
154#2537C2211yescharacteristic, complemented
155#2534C2214yescomplemented
156#2512C2212yescomplemented
157#2510C2214yescomplemented
158#2510C2214yescomplemented
159#2508C2212yescomplemented
160#2504C2214yescomplemented
161#2498C2214yescomplemented
162#2494C2212yescomplemented
163#2490C2212yescomplemented
164#2490C2212yescomplemented
165#2486C2212yescomplemented
166#2480C2214yescomplemented
167#2476C2214yescomplemented
168#2471C2214yescomplemented
169#2471C2214yescomplemented
170#2457C2214yescomplemented
171#2456C2214yescomplemented
172#2454C2212yescomplemented
173#2454C2212yescomplemented
174#2448C2212yescomplemented
175#2448C2212yescomplemented
176#2447C2212yescomplemented
177#2445C2212yescomplemented
178#2445C2212yescomplemented
179#2445C2212yescomplemented
180#2445C2212yescomplemented
181#2445C2212yescomplemented
182#2445C2214yescomplemented
183#2445C2212yescomplemented
184#2445C2212yescomplemented
185#2445C2214yescomplemented
186#2444C2214yescomplemented
187#2443C2214yescomplemented
188#2435C2212yes—
189#2435C2212yescomplemented
190#2433C2212yescomplemented
191#2433C2212yescomplemented
192#2433C2212yescomplemented
193#2431C2212yes—
194#2431C2212yescomplemented
195#2430C2214yescomplemented
196#2428C2212yescomplemented
197#2427C2212yescomplemented
198#2426C2212yescomplemented
199#2426C2212yescomplemented
200#2425C2214yescomplemented
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2424C2214yescomplemented
204#2424C2214yescomplemented
205#2422C2212yescomplemented
206#2418C2214yescomplemented
207#2417C2212yescomplemented
208#2416C2212yes—
209#2416C2212yescomplemented
210#2414C2212yescomplemented
211#2414C2214yescomplemented
212#2412C2214yescomplemented
213#2412C2214yescomplemented
214#2411C2214yescomplemented
215#2410C2214yes—
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2408C2212yescomplemented
219#2407C2212yescomplemented
220#2405C2214yescomplemented
221#2404C2214yescomplemented
222#2403C2214yescomplemented
223#2403C2214yescomplemented
224#2402C2212yescomplemented
225#2401C2212yescomplemented
226#2396C2212yescomplemented
227#2395C2212yescomplemented
228C2×#394C2212yescomplemented
229C2×#394C2212yescomplemented
230#2367C2212yescomplemented
231#2366C2212yescomplemented
232#2366C2212yescomplemented
233#2361C2212yescomplemented
234#2360C2212yescomplemented
235#2358C2214yescomplemented
236#2354C2211yescharacteristic, complemented
237D4×C4⋊C4C2211yescharacteristic, complemented
238#2341C2212yescomplemented
239#2339C2212yescomplemented
240D4×C22⋊C4C2214yescomplemented
241D4×C22⋊C4C2212yescomplemented
242#2328C2212yescomplemented
243#2325C2212yescomplemented
244#2325C2212yescomplemented
245#2324C2212yescomplemented
246#2320C2212yescomplemented
247#2312C2212yescomplemented
248C4×C22⋊Q8C2211yescharacteristic, complemented
249C4×#123C2212yescomplemented
250C4×#121C2211yescharacteristic
251C2×#390C2211yescharacteristic
252C2×#390C2211yescharacteristic
253C2×#390C2211yescharacteristic, complemented
254C2×#389C2211yescharacteristic, complemented
255#2290C2212yescomplemented
256C2×#386C2212yescomplemented
257C2×#380C2212yescomplemented
258C2×C4×C4⋊C4C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C23×D4C2311yescharacteristic
262C23×D4C2311yescharacteristic
263C23×D4C2314yes—
264C23×D4C2312yes—
265C23×D4C2312yes—
266C23×D4C2312yes—
267C24×C4C2312yes—
268#550—44no—
269#547—44no—
270#546—48no—
271D42—48no—
272#535—48no—
273#534—48no—
274C2×C4⋊Q8C2311yescharacteristic
275C2×#127—44no—
276C2×#127C2312yes—
277C2×#127C2312yes—
278C2×#127C2311yescharacteristic
279C2×#127C2312yes—
280C2×#127C2312yes—
281C2×#127C2312yes—
282C2×#127C2314yes—
283#529—48no—
284C2×#126C2314yes—
285C2×#126C2314yes—
286C2×#125C2312yes—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292#525—48no—
293C2×#123—48no—
294C2×#123C2312yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×#121C2312yes—
311C2×#121C2311yescharacteristic
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2314yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×D4—44no—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2314yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2314yes—
363C2×#117C2312yes—
364C2×#117C2314yes—
365C2×#117C2312yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2314yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385#401C2312yes—
386#401C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#399C2314yes—
399#399C2314yes—
400#399C2312yes—
401#399C2314yes—
402#399C2312yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2312yes—
411#398C2312yes—
412#398C2312yes—
413#398C2312yes—
414#398C2312yes—
415#398C2314yes—
416#397C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#395C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#393C2314yes—
499#393C2312yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2314yes—
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#384C2311yescharacteristic
667#384C2311yescharacteristic
668#383C2314yes—
669#382C2312yes—
670#382C2314yes—
671#382C2314yes—
672#381C2314yes—
673#381C2312yes—
674#381C2314yes—
675#380C2311yescharacteristic
676#380C2312yes—
677#380C2314yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2314yes—
685#380C2314yes—
686#380C2312yes—
687#380C2311yescharacteristic
688#380C2314yes—
689#380C2312yes—
690#380C2312yes—
691#380C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2314yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718#376C2312yes—
719C2×#95C2311yescharacteristic
720C2×#95C2311yescharacteristic
721C2×#95C2314yes—
722C2×#95C2312yes—
723C25C2412yes—
724C25C2412yes—
725C25C2414yes—
726C2×#41—28no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—44no—
731C2×#41—82no—
732C22×Q8C2412yes—
733C22×Q8C2411yescharacteristic
734C22×D4—24no—
735C22×D4—24no—
736C22×D4—24no—
737C22×D4—42no—
738C22×D4—42no—
739C22×D4—44no—
740C22×D4—44no—
741C22×D4—42no—
742C22×D4—44no—
743C22×D4—44no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—44no—
747C22×D4—48no—
748C22×D4—48no—
749C22×D4—48no—
750C22×D4—82no—
751C22×D4—82no—
752C22×D4C2414yes—
753C22×D4C2411yescharacteristic
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2411yescharacteristic
759C22×D4C2411yescharacteristic
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C23×C4—28no—
779C23×C4—44no—
780C23×C4—82no—
781C23×C4C2411yescharacteristic
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2411yescharacteristic
786C23×C4C2412yes—
787C23×C4C2411yescharacteristic
788C23×C4C2411yescharacteristic
789C23×C4C2412yes—
790C23×C4C2414yes—
791C23×C4C2411yescharacteristic
792C23×C4C2411yescharacteristic
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2414yes—
796C23×C4C2414yes—
797C23×C4C2414yes—
798C23×C4C2414yes—
799C23×C4C2411yescharacteristic
800C4⋊Q8—42no—
801#127—28no—
802#127—28no—
803#127—44no—
804#127—44no—
805#127—44no—
806#127—42no—
807#127—48no—
808#126—48no—
809#126—84no—
810#125—44no—
811#124—44no—
812#124—44no—
813#124—44no—
814#124—44no—
815#124—44no—
816#123—48no—
817#123—48no—
818#123—48no—
819#123—48no—
820#123—48no—
821#123—48no—
822#123—48no—
823#123—44no—
824#123—48no—
825#123—48no—
826#123—48no—
827#123—84no—
828C22⋊Q8—24no—
829C22⋊Q8—28no—
830C22⋊Q8—44no—
831C22⋊Q8—44no—
832#121—28no—
833#121—28no—
834#121—24no—
835#121—48no—
836#121—48no—
837#121—48no—
838#121—44no—
839#121—44no—
840#121—44no—
841#121—44no—
842#121—44no—
843#121—48no—
844#121—48no—
845#121—48no—
846#121—44no—
847#121—44no—
848#121—82no—
849#121—84no—
850#121—84no—
851#121—84no—
852#121—82no—
853#120—48no—
854#120—48no—
855#120—48no—
856#120—48no—
857#120—48no—
858#120—48no—
859#120—48no—
860#120—48no—
861#120—48no—
862#120—84no—
863#120—84no—
864#120—84no—
865C4×Q8—42no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×D4—24no—
869C4×D4—24no—
870C4×D4—28no—
871C4×D4—42no—
872C4×D4—42no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—42no—
878C4×D4—48no—
879C4×D4—44no—
880C4×D4—44no—
881C4×D4—48no—
882C4×D4—48no—
883C4×D4—84no—
884#117—44no—
885#117—48no—
886#117—44no—
887C2×C4⋊C4—24no—
888C2×C4⋊C4—42no—
889C2×C4⋊C4—42no—
890C2×C4⋊C4—42no—
891C2×C4⋊C4—44no—
892C2×C4⋊C4—44no—
893C2×C4⋊C4—82no—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C22⋊C4—28no—
942C2×C22⋊C4—44no—
943C2×C22⋊C4—48no—
944C2×C22⋊C4—44no—
945C2×C22⋊C4—44no—
946C2×C22⋊C4—84no—
947C2×C22⋊C4—82no—
948C2×C22⋊C4—82no—
949C2×C22⋊C4—82no—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C42—24no—
1020C2×C42—42no—
1021C2×C42—42no—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085C24—24no—
1086C24—24no—
1087C24—24no—
1088C24—24no—
1089C24—24no—
1090C24—24no—
1091C24—24no—
1092C24—42no—
1093C24—42no—
1094C24—42no—
1095C24—42no—
1096C24—42no—
1097C24—42no—
1098C24—42no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24—44no—
1104C24—44no—
1105C24—44no—
1106C24C2514yes—
1107C24C2512yes—
1108C24C2514yes—
1109C24C2512yes—
1110C24C2512yes—
1111C24C2511yescharacteristic
1112#41—816no—
1113#41—816no—
1114C2×Q8—24no—
1115C2×Q8—22no—
1116C2×Q8—24no—
1117C2×Q8—24no—
1118C2×Q8—41no—
1119C2×Q8—41no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—24no—
1125C2×D4—28no—
1126C2×D4—24no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—22no—
1139C2×D4—24no—
1140C2×D4—22no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—22no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—416no—
1148C2×D4—42no—
1149C2×D4—44no—
1150C2×D4—41no—
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—42no—
1165C2×D4—41no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—42no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—42no—
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—44no—
1186C2×D4—44no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—88no—
1199C2×D4—816no—
1200C2×D4—816no—
1201C2×D4—816no—
1202C2×D4—832no—
1203C2×D4H(5,𝔽2)14yes—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—28no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—42no—
1229C22×C4—41no—
1230C22×C4—42no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—42no—
1235C22×C4—44no—
1236C22×C4—42no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—816no—
1260C22×C4H(5,𝔽2)14yes—
1261C22×C4H(5,𝔽2)14yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2514yes—
1276C22×C4C2514yes—
1277C22×C4C2514yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—41no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—41no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—41no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—41no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—24no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—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—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—22no—
1405C42—22no—
1406C42—24no—
1407C42—24no—
1408C42—24no—
1409C42—41no—
1410C42—41no—
1411C42—42no—
1412C42—44no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—24no—
1427C23—24no—
1428C23—24no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—24no—
1435C23—22no—
1436C23—24no—
1437C23—24no—
1438C23—24no—
1439C23—22no—
1440C23—22no—
1441C23—24no—
1442C23—24no—
1443C23—22no—
1444C23—24no—
1445C23—22no—
1446C23—22no—
1447C23—24no—
1448C23—24no—
1449C23—22no—
1450C23—24no—
1451C23—24no—
1452C23—22no—
1453C23—22no—
1454C23—48no—
1455C23—48no—
1456C23—48no—
1457C23—48no—
1458C23—48no—
1459C23—84no—
1460C23—84no—
1461C23—84no—
1462C23—84no—
1463C23—84no—
1464C23—84no—
1465C23—84no—
1466C23—84no—
1467C23—84no—
1468C23—88no—
1469C23—88no—
1470C23—88no—
1471C23—164no—
1472C23—164no—
1473C23—164no—
1474C23—164no—
1475C23C2×H(5,𝔽2)14yes—
1476C23C2×H(5,𝔽2)12yes—
1477C23C2×H(5,𝔽2)12yes—
1478C23#58512yes—
1479C23C2611yescharacteristic
1480Q8—44no—
1481Q8—48no—
1482D4—28no—
1483D4—48no—
1484D4—416no—
1485D4—48no—
1486D4—44no—
1487D4—48no—
1488D4—48no—
1489D4—82no—
1490D4—84no—
1491D4—84no—
1492D4—88no—
1493D4—88no—
1494D4—88no—
1495D4—88no—
1496D4—88no—
1497D4—88no—
1498D4—88no—
1499D4—88no—
1500D4—88no—
1501D4—88no—
1502D4—88no—
1503D4—164no—
1504D4—164no—
1505D4—162no—
1506D4—164no—
1507D4—164no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—28no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—44no—
1573C2×C4—48no—
1574C2×C4—48no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—84no—
1580C2×C4—84no—
1581C2×C4—82no—
1582C2×C4—82no—
1583C2×C4—84no—
1584C2×C4—84no—
1585C2×C4—88no—
1586C2×C4—88no—
1587C2×C4—88no—
1588C2×C4—88no—
1589C2×C4—164no—
1590C2×C4C2×H(5,𝔽2)12yes—
1591C2×C4C2×H(5,𝔽2)12yes—
1592C2×C4C2×H(5,𝔽2)12yes—
1593C2×C4C2×H(5,𝔽2)12yes—
1594C2×C4C2×H(5,𝔽2)12yes—
1595C2×C4#58512yes—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—24no—
1603C22—24no—
1604C22—24no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—44no—
1612C22—44no—
1613C22—44no—
1614C22—42no—
1615C22—44no—
1616C22—42no—
1617C22—44no—
1618C22—42no—
1619C22—42no—
1620C22—44no—
1621C22—42no—
1622C22—44no—
1623C22—44no—
1624C22—42no—
1625C22—42no—
1626C22—44no—
1627C22—44no—
1628C22—42no—
1629C22—42no—
1630C22—44no—
1631C22—42no—
1632C22—44no—
1633C22—42no—
1634C22—44no—
1635C22—42no—
1636C22—44no—
1637C22—816no—
1638C22—168no—
1639C22—1616no—
1640C22#354614yes—
1641C22C22×H(5,𝔽2)11yescharacteristic
1642C22C22×H(5,𝔽2)11yescharacteristic
1643C22C22×H(5,𝔽2)11yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22C2×#58511yescharacteristic
1646C22H(7,𝔽2)11yescharacteristic
1647C22H(7,𝔽2)11yescharacteristic
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—42no—
1652C4—44no—
1653C4—42no—
1654C4—42no—
1655C4—44no—
1656C4—42no—
1657C4—44no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—41no—
1665C4—41no—
1666C4—42no—
1667C4—44no—
1668C4—42no—
1669C4—42no—
1670C4#353414yes—
1671C2—24no—
1672C2—44no—
1673C2—82no—
1674C2—84no—
1675C2—82no—
1676C2—84no—
1677C2C2×#353411yescharacteristic
1678C2C2×#354611yescharacteristic
1679C2#6288011yescharacteristic
1680C2#6289211yescharacteristic
1681C2#6291811yescharacteristic
1682C2#6295511yescharacteristic
1683C2#6296511yescharacteristic
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. #59046C2semidirect
2. #59030C2semidirect
3. #57300C2semidirect
4. #57292C2semidirect
5. #56294C2semidirect
6. #54572C2semidirect
7. #53105C2semidirect
8. #53000C2semidirect
9. #52320C2semidirect
10. #45053C2semidirect
11. #44876C2semidirect
12. #42967C2semidirect
13. #42616C2semidirect
14. #42580C2semidirect
15. #42528C2semidirect
16. #40725C2semidirect
17. #39511C2semidirect
18. #39358C2semidirect
19. #38124C2semidirect
20. #37891C2semidirect
21. #37744C2semidirect
22. #37674C2semidirect
23. #37452C2semidirect
24. #36721C2semidirect
25. #36153C2semidirect
26. #36101C2semidirect
27. #35103C2semidirect
28. C2×#2445C2semidirect
29. #34584C2semidirect
30. C2×#550C22semidirect
31. C2×#547C22semidirect
32. C2×#546C22semidirect
34. C2×#535C22semidirect
37. C2×#529C22semidirect
38. C2×#525C22semidirect
39. C22×#123C22semidirect
40. C22×C4×D4C22semidirect
41. #2857C22semidirect
43. #2850C22semidirect
45. #2847C22semidirect
46. #2829C22semidirect
47. #2829C22semidirect
48. #2829C22semidirect
49. #2828C22semidirect
50. #2827C22semidirect
51. #2826C22semidirect
52. #2825C22semidirect
53. #2825C22semidirect
54. #2814C22semidirect
55. #2813C22semidirect
56. #2813C22semidirect
57. #2812C22semidirect
58. #2808C22semidirect
59. #2800C22semidirect
60. #2800C22semidirect
61. #2797C22semidirect
62. #2781C22semidirect
63. #2778C22semidirect
64. #2772C22semidirect
65. #2765C22semidirect
66. #2757C22semidirect
67. #2756C22semidirect
68. #2756C22semidirect
69. #2753C22semidirect
70. #2749C22semidirect
71. #2746C22semidirect
72. #2741C22semidirect
73. #2727C22semidirect
74. #2714C22semidirect
75. #2714C22semidirect
76. #2708C22semidirect
77. #2706C22semidirect
78. #2706C22semidirect
79. #2706C22semidirect
80. #2706C22semidirect
81. #2705C22semidirect
82. #2703C22semidirect
83. #2699C22semidirect
84. #2697C22semidirect
85. #2697C22semidirect
86. #2696C22semidirect
87. #2693C22semidirect
88. #2691C22semidirect
89. #2691C22semidirect
90. #2688C22semidirect
91. #2685C22semidirect
92. #2685C22semidirect
93. #2682C22semidirect
94. #2679C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2668C22semidirect
107. #2668C22semidirect
108. #2661C22semidirect
110. #2655C22semidirect
111. #2654C22semidirect
112. #2651C22semidirect
113. #2650C22semidirect
114. #2648C22semidirect
115. #2646C22semidirect
116. #2644C22semidirect
117. #2643C22semidirect
119. #2636C22semidirect
120. #2630C22semidirect
121. #2630C22semidirect
122. #2627C22semidirect
123. #2626C22semidirect
124. #2625C22semidirect
125. #2623C22semidirect
126. #2622C22semidirect
129. #2618C22semidirect
130. #2618C22semidirect
131. #2618C22semidirect
132. #2618C22semidirect
134. #2601C22semidirect
135. #2601C22semidirect
136. #2592C22semidirect
137. #2591C22semidirect
138. #2579C22semidirect
139. #2576C22semidirect
140. #2566C22semidirect
141. #2565C22semidirect
142. #2548C22semidirect
143. #2547C22semidirect
144. #2545C22semidirect
145. #2545C22semidirect
146. #2544C22semidirect
147. #2544C22semidirect
148. #2544C22semidirect
149. #2543C22semidirect
151. #2541C22semidirect
152. #2539C22semidirect
153. #2538C22semidirect
154. #2537C22semidirect
155. #2534C22semidirect
156. #2512C22semidirect
157. #2510C22semidirect
158. #2510C22semidirect
159. #2508C22semidirect
160. #2504C22semidirect
161. #2498C22semidirect
162. #2494C22semidirect
163. #2490C22semidirect
164. #2490C22semidirect
165. #2486C22semidirect
166. #2480C22semidirect
167. #2476C22semidirect
168. #2471C22semidirect
169. #2471C22semidirect
170. #2457C22semidirect
171. #2456C22semidirect
172. #2454C22semidirect
173. #2454C22semidirect
174. #2448C22semidirect
175. #2448C22semidirect
176. #2447C22semidirect
177. #2445C22semidirect
178. #2445C22semidirect
179. #2445C22semidirect
180. #2445C22semidirect
181. #2445C22semidirect
182. #2445C22semidirect
183. #2445C22semidirect
184. #2445C22semidirect
185. #2445C22semidirect
186. #2444C22semidirect
187. #2443C22semidirect
189. #2435C22semidirect
190. #2433C22semidirect
191. #2433C22semidirect
192. #2433C22semidirect
194. #2431C22semidirect
195. #2430C22semidirect
196. #2428C22semidirect
197. #2427C22semidirect
198. #2426C22semidirect
199. #2426C22semidirect
200. #2425C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2424C22semidirect
204. #2424C22semidirect
205. #2422C22semidirect
206. #2418C22semidirect
207. #2417C22semidirect
209. #2416C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
212. #2412C22semidirect
213. #2412C22semidirect
214. #2411C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
218. #2408C22semidirect
219. #2407C22semidirect
220. #2405C22semidirect
221. #2404C22semidirect
222. #2403C22semidirect
223. #2403C22semidirect
224. #2402C22semidirect
225. #2401C22semidirect
226. #2396C22semidirect
227. #2395C22semidirect
228. C2×#394C22semidirect
229. C2×#394C22semidirect
230. #2367C22semidirect
231. #2366C22semidirect
232. #2366C22semidirect
233. #2361C22semidirect
234. #2360C22semidirect
235. #2358C22semidirect
236. #2354C22semidirect
237. D4×C4⋊C4C22semidirect
238. #2341C22semidirect
239. #2339C22semidirect
240. D4×C22⋊C4C22semidirect
241. D4×C22⋊C4C22semidirect
242. #2328C22semidirect
243. #2325C22semidirect
244. #2325C22semidirect
245. #2324C22semidirect
246. #2320C22semidirect
247. #2312C22semidirect
248. C4×C22⋊Q8C22semidirect
249. C4×#123C22semidirect
253. C2×#390C22semidirect
254. C2×#389C22semidirect
255. #2290C22semidirect
256. C2×#386C22semidirect
257. C2×#380C22semidirect
258. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#590462
#590302
#573002
#572922
#562942
#545722
#531052
#530002
#523202
#450532
#448762
#429672
#426162
#425802
#425282
#407252
#395112
#393582
#381242
#378912
#377442
#376742
#374522
#367212
#361532
#361012
#351032
C2×#24452
#345842