Finite Group Databasebeta

← #8176047

Subgroups — #8176047

Order 512.

6633 conjugacy classes of subgroups.

The subgroup lattice has 1721 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59308C212yesmaximal, complemented
2#59126C212yesmaximal, complemented
3#57584C214yesmaximal, complemented
4#57180C214yesmaximal, complemented
5#56291C214yesmaximal, complemented
6#54949C214yesmaximal, complemented
7#53102C212yesmaximal, complemented
8#52971C212yesmaximal, complemented
9#52315C214yesmaximal, complemented
10#43001C214yesmaximal, complemented
11#42471C212yesmaximal, complemented
12#42430C212yesmaximal, complemented
13#40780C214yesmaximal, complemented
14#40486C214yesmaximal, complemented
15#39818C212yesmaximal, complemented
16#39358C212yesmaximal, complemented
17#39189C212yesmaximal, complemented
18#37650C212yesmaximal, complemented
19#37650C212yesmaximal, complemented
20#37515C211yesmaximal, characteristic, complemented
21#37450C211yesmaximal, characteristic, complemented
22#37297C211yesmaximal, characteristic, complemented
23#37283C211yesmaximal, characteristic, complemented
24D4×#121C212yesmaximal, complemented
25#35261C211yesmaximal, characteristic, complemented
26#34737C211yesmaximal, characteristic, complemented
27C2×#2619C211yesmaximal, characteristic, complemented
28C2×D42C2212yescomplemented
29C2×D42C2212yescomplemented
30C2×D42C2214yescomplemented
31C2×D42C2212yescomplemented
32C2×D42C2214yescomplemented
33C2×#540C2211yescharacteristic, complemented
34C2×#535C2212yescomplemented
35C2×#534C2214yescomplemented
36C22×#127C2211yescharacteristic, complemented
37C2×#525C2211yescharacteristic, complemented
38C2×#525C2211yescharacteristic, complemented
39C22×#121C2212yescomplemented
40C22×#121C2212yescomplemented
41C22×C4×D4C2211yescharacteristic, complemented
42C22×#117C2211yescharacteristic, complemented
43#2856C2212yescomplemented
44#2856C2211yescharacteristic, complemented
45#2851C2211yescharacteristic, complemented
46#2847C2212yescomplemented
47#2847C2212yescomplemented
48#2829C2214yescomplemented
49#2828C2214yescomplemented
50#2828C2214yescomplemented
51#2825C2214yescomplemented
52#2825C2214yescomplemented
53#2825C2214yescomplemented
54#2818C2214yescomplemented
55#2815C2214yescomplemented
56#2815C2214yescomplemented
57#2813C2214yescomplemented
58#2812C2214yescomplemented
59#2812C2214yescomplemented
60#2803C2214yescomplemented
61#2803C2214yescomplemented
62#2800C2214yescomplemented
63#2797C2214yescomplemented
64#2797C2214yescomplemented
65#2786C2214yescomplemented
66#2772C2214yescomplemented
67#2756C2214yescomplemented
68#2756C2214yescomplemented
69#2753C2214yescomplemented
70#2749C2214yescomplemented
71#2733C2214yescomplemented
72#2714C2214yescomplemented
73#2714C2214yescomplemented
74#2709C2214yescomplemented
75#2708C2214yescomplemented
76#2701C2214yescomplemented
77#2697C2214yescomplemented
78#2688C2214yescomplemented
79#2685C2214yescomplemented
80#2682C2214yescomplemented
81#2679C2214yescomplemented
82#2679C2214yescomplemented
83#2678C2214yescomplemented
84#2678C2214yescomplemented
85#2678C2214yescomplemented
86#2678C2214yescomplemented
87#2678C2214yescomplemented
88#2678C2214yescomplemented
89#2678C2214yescomplemented
90#2678C2214yescomplemented
91#2676C2214yescomplemented
92#2676C2214yescomplemented
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2673C2214yescomplemented
96#2673C2214yescomplemented
97#2669C2214yescomplemented
98#2669C2214yescomplemented
99#2669C2214yescomplemented
100#2669C2214yescomplemented
101#2669C2214yescomplemented
102#2669C2214yescomplemented
103#2669C2214yescomplemented
104#2669C2214yescomplemented
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2668C2214yescomplemented
108#2661C2214yescomplemented
109#2661C2214yescomplemented
110#2653C2214yescomplemented
111#2648C2214yescomplemented
112#2630C2214yescomplemented
113#2629C2211yescharacteristic, complemented
114#2624C2212yescomplemented
115#2622C2214yescomplemented
116#2619C2212yescomplemented
117#2619C2212yescomplemented
118#2619C2211yescharacteristic, complemented
119#2619C2214yescomplemented
120#2619C2211yescharacteristic, complemented
121#2619C2211yescharacteristic, complemented
122#2619C2212yescomplemented
123#2619C2214yescomplemented
124#2619C2211yescharacteristic, complemented
125#2619C2211yescharacteristic, complemented
126#2617C2214yescomplemented
127#2617C2214yescomplemented
128#2617C2214yescomplemented
129#2615C2212yescomplemented
130#2613C2214yescomplemented
131#2602C2214yescomplemented
132#2576C2214yescomplemented
133#2570C2212yescomplemented
134#2559C2214yescomplemented
135#2543C2214yescomplemented
136#2541C2212yescomplemented
137#2541C2212yescomplemented
138#2541C2212yescomplemented
139#2541C2212yescomplemented
140#2537C2212yescomplemented
141#2535C2212yescomplemented
142#2535C2212yescomplemented
143#2518C2214yescomplemented
144#2513C2212yescomplemented
145#2512C2212yescomplemented
146#2510C2214yescomplemented
147#2504C2212yescomplemented
148#2504C2212yescomplemented
149#2500C2212yescomplemented
150#2500C2212yescomplemented
151#2495C2212yescomplemented
152#2494C2212yescomplemented
153#2490C2212yescomplemented
154#2490C2212yescomplemented
155#2480C2214yescomplemented
156#2476C2214yescomplemented
157#2472C2214yescomplemented
158#2472C2214yescomplemented
159#2471C2214yescomplemented
160#2464C2214yescomplemented
161#2464C2214yescomplemented
162#2456C2214yescomplemented
163#2456C2214yescomplemented
164#2445C2212yescomplemented
165#2445C2212yescomplemented
166#2444C2214yescomplemented
167#2443C2214yescomplemented
168#2433C2214yescomplemented
169#2433C2214yescomplemented
170#2433C2212yescomplemented
171#2433C2212yescomplemented
172#2433C2214yescomplemented
173#2433C2214yescomplemented
174#2433C2212yescomplemented
175#2433C2212yescomplemented
176#2428C2214yescomplemented
177#2428C2212yescomplemented
178#2428C2212yescomplemented
179#2428C2214yescomplemented
180#2424C2214yescomplemented
181#2424C2214yescomplemented
182#2424C2214yescomplemented
183#2424C2214yescomplemented
184#2422C2212yescomplemented
185#2422C2212yescomplemented
186#2417C2212yescomplemented
187#2416C2212yescomplemented
188#2416C2212yescomplemented
189#2416C2212yescomplemented
190#2416C2212yescomplemented
191#2416C2212yescomplemented
192#2416C2214yescomplemented
193#2415C2212yescomplemented
194#2414C2212yescomplemented
195#2414C2212yescomplemented
196#2414C2212yescomplemented
197#2413C2212yescomplemented
198#2412C2212yescomplemented
199#2411C2212yescomplemented
200#2410C2214yescomplemented
201#2410C2214yescomplemented
202#2410C2214yescomplemented
203#2410C2214yescomplemented
204#2410C2214yescomplemented
205#2410C2212yescomplemented
206#2410C2214yescomplemented
207#2408C2212yescomplemented
208#2408C2212yescomplemented
209#2408C2212yescomplemented
210#2408C2212yescomplemented
211#2408C2212yescomplemented
212#2408C2214yescomplemented
213#2408C2212yescomplemented
214#2403C2214yescomplemented
215#2403C2214yescomplemented
216#2403C2214yescomplemented
217#2403C2214yescomplemented
218#2403C2214yescomplemented
219#2392C2212yescomplemented
220#2392C2212yescomplemented
221C2×#394C2214yescomplemented
222C2×#392C2214yescomplemented
223#2366C2212yescomplemented
224#2364C2214yescomplemented
225#2357C2212yescomplemented
226#2352C2212yescomplemented
227#2352C2212yescomplemented
228D4×C4⋊C4C2212yescomplemented
229D4×C22⋊C4C2214yescomplemented
230#2324C2212yescomplemented
231#2324C2212yescomplemented
232#2321C2214yescomplemented
233#2314C2211yescharacteristic, complemented
234C4×#121C2212yescomplemented
235C4×#121C2212yescomplemented
236C4×#121C2212yescomplemented
237C4×#121C2212yescomplemented
238#2297C2211yescharacteristic, complemented
239#2296C2211yescharacteristic, complemented
240C2×#390C2212yescomplemented
241C2×#382C2211yescharacteristic, complemented
242#2280C2211yescharacteristic, complemented
243C22×#41C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2314yes—
246C23×D4C2312yes—
247C23×D4C2314yes—
248C23×D4C2312yes—
249C23×D4C2312yes—
250C23×D4C2314yes—
251C23×D4C2314yes—
252C23×D4C2314yes—
253C23×D4C2314yes—
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256D42—48no—
257D42—48no—
258D42—48no—
259D42—416no—
260D42—416no—
261#540—44no—
262#535—48no—
263#534—416no—
264C2×#127—44no—
265C2×#127C2312yes—
266C2×#127C2311yescharacteristic
267C2×#127C2312yes—
268C2×#127C2314yes—
269C2×#127C2311yescharacteristic
270C2×#127C2311yescharacteristic
271C2×#127C2312yes—
272C2×#127C2314yes—
273C2×#127C2314yes—
274C2×#127C2314yes—
275C2×#127C2314yes—
276C2×#126C2314yes—
277C2×#125C2311yescharacteristic
278C2×#124C2314yes—
279#525—44no—
280#525—44no—
281C2×#123C2314yes—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×#123C2312yes—
285C2×#123C2312yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×C22⋊Q8C2311yescharacteristic
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2311yescharacteristic
291C2×#121—48no—
292C2×#121—48no—
293C2×#121C2312yes—
294C2×#121C2312yes—
295C2×#121C2312yes—
296C2×#121C2312yes—
297C2×#121C2314yes—
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2314yes—
304C2×#121C2314yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2314yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2311yescharacteristic
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2311yescharacteristic
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2312yes—
342C2×#120C2312yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×C4×D4—44no—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×#117—44no—
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C22⋊C4C2314yes—
389C22×C22⋊C4C2314yes—
390C22×C22⋊C4C2314yes—
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2314yes—
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398#401C2314yes—
399#400C2314yes—
400#400C2314yes—
401#399C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2312yes—
406#397C2312yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#396C2312yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2312yes—
430#396C2312yes—
431#396C2312yes—
432#396C2314yes—
433#396C2314yes—
434#394C2312yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2312yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
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#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#393C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
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#392C2312yes—
519#392C2312yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#391C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
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#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#386C2314yes—
600#386C2312yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2312yes—
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#386C2312yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2314yes—
629#386C2314yes—
630#386C2312yes—
631#386C2314yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2312yes—
643#385C2312yes—
644#384C2311yescharacteristic
645#384C2312yes—
646#383C2314yes—
647#382C2311yescharacteristic
648#382C2312yes—
649#382C2312yes—
650#382C2314yes—
651#382C2311yescharacteristic
652#382C2311yescharacteristic
653#381C2314yes—
654#381C2312yes—
655#380C2312yes—
656#380C2312yes—
657#380C2312yes—
658#380C2312yes—
659#380C2312yes—
660#380C2314yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#379C2314yes—
668#379C2314yes—
669#379C2314yes—
670#379C2314yes—
671#379C2312yes—
672#379C2314yes—
673#379C2314yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C22⋊C4C2314yes—
680C4×C22⋊C4C2314yes—
681C4×C22⋊C4C2314yes—
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2312yes—
685C4×C22⋊C4C2312yes—
686C4×C22⋊C4C2312yes—
687C4×C22⋊C4C2312yes—
688C2×#95C2314yes—
689C25C2411yescharacteristic
690C25C2414yes—
691C25C2411yescharacteristic
692C25C2414yes—
693C25C2414yes—
694C2×#41—24no—
695C2×#41—42no—
696C2×#41—42no—
697C22×Q8C2411yescharacteristic
698C22×D4—28no—
699C22×D4—216no—
700C22×D4—28no—
701C22×D4—44no—
702C22×D4—44no—
703C22×D4—44no—
704C22×D4—48no—
705C22×D4—44no—
706C22×D4—44no—
707C22×D4—44no—
708C22×D4—44no—
709C22×D4—44no—
710C22×D4—48no—
711C22×D4—48no—
712C22×D4—48no—
713C22×D4—42no—
714C22×D4—48no—
715C22×D4—48no—
716C22×D4—48no—
717C22×D4—48no—
718C22×D4—48no—
719C22×D4—48no—
720C22×D4—48no—
721C22×D4—48no—
722C22×D4—48no—
723C22×D4—84no—
724C22×D4—84no—
725C22×D4—84no—
726C22×D4—84no—
727C22×D4C2412yes—
728C22×D4C2414yes—
729C22×D4C2412yes—
730C22×D4C2412yes—
731C22×D4C2412yes—
732C22×D4C2412yes—
733C22×D4C2412yes—
734C22×D4C2412yes—
735C22×D4C2412yes—
736C22×D4C2414yes—
737C22×D4C2414yes—
738C22×D4C2411yescharacteristic
739C22×D4C2412yes—
740C22×D4C2414yes—
741C22×D4C2414yes—
742C22×D4C2414yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C23×C4—24no—
766C23×C4—24no—
767C23×C4—24no—
768C23×C4—42no—
769C23×C4—42no—
770C23×C4—42no—
771C23×C4C2412yes—
772C23×C4C2411yescharacteristic
773C23×C4C2412yes—
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2412yes—
782C23×C4C2414yes—
783C23×C4C2412yes—
784C23×C4C2411yescharacteristic
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2411yescharacteristic
788C23×C4C2414yes—
789C23×C4C2414yes—
790#127—28no—
791#127—42no—
792#127—42no—
793#127—48no—
794#127—42no—
795#127—44no—
796#127—44no—
797#127—48no—
798#127—48no—
799#127—48no—
800#127—84no—
801#126—84no—
802#125—42no—
803#124—48no—
804#123—44no—
805#123—48no—
806#123—44no—
807#123—48no—
808#123—48no—
809#123—48no—
810#123—48no—
811C22⋊Q8—42no—
812C22⋊Q8—44no—
813C22⋊Q8—42no—
814#121—28no—
815#121—216no—
816#121—28no—
817#121—28no—
818#121—28no—
819#121—28no—
820#121—28no—
821#121—48no—
822#121—48no—
823#121—42no—
824#121—48no—
825#121—48no—
826#121—48no—
827#121—44no—
828#121—48no—
829#121—48no—
830#121—48no—
831#121—48no—
832#121—48no—
833#121—48no—
834#121—44no—
835#121—44no—
836#121—44no—
837#121—44no—
838#121—44no—
839#121—44no—
840#121—44no—
841#121—44no—
842#121—44no—
843#121—48no—
844#121—44no—
845#121—44no—
846#121—48no—
847#121—48no—
848#121—42no—
849#121—48no—
850#121—48no—
851#121—84no—
852#121—84no—
853#121—84no—
854#120—216no—
855#120—44no—
856#120—48no—
857#120—48no—
858#120—48no—
859#120—48no—
860#120—48no—
861#120—48no—
862#120—48no—
863#120—48no—
864#120—44no—
865#120—48no—
866#120—48no—
867#120—48no—
868#120—48no—
869#120—48no—
870#120—48no—
871#120—48no—
872#120—48no—
873#120—48no—
874#120—48no—
875#120—84no—
876#120—84no—
877#120—84no—
878#120—84no—
879#120—84no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—28no—
883C4×D4—28no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—48no—
891C4×D4—48no—
892C4×D4—44no—
893C4×D4—48no—
894C4×D4—48no—
895#117—24no—
896#117—24no—
897#117—42no—
898#117—42no—
899#117—42no—
900#117—44no—
901#117—44no—
902#117—44no—
903C2×C4⋊C4—44no—
904C2×C4⋊C4—42no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4—44no—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C22⋊C4—44no—
939C2×C22⋊C4—42no—
940C2×C22⋊C4—48no—
941C2×C22⋊C4—48no—
942C2×C22⋊C4—42no—
943C2×C22⋊C4—48no—
944C2×C22⋊C4—84no—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C42—24no—
1021C2×C42—42no—
1022C2×C42—42no—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2411yescharacteristic
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069C24—22no—
1070C24—22no—
1071C24—24no—
1072C24—24no—
1073C24—22no—
1074C24—28no—
1075C24—28no—
1076C24—28no—
1077C24—28no—
1078C24—41no—
1079C24—41no—
1080C24—42no—
1081C24—42no—
1082C24—44no—
1083C24—44no—
1084C24—44no—
1085C24—41no—
1086C24—44no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24—44no—
1094C24—44no—
1095C24—44no—
1096C24—44no—
1097C24—44no—
1098C24—44no—
1099C24—44no—
1100C24C2512yes—
1101C24C2514yes—
1102C24C2514yes—
1103C24C2514yes—
1104C24C2511yescharacteristic
1105C24C2512yes—
1106C24C2511yescharacteristic
1107C24C2511yescharacteristic
1108#41—88no—
1109C2×Q8—22no—
1110C2×Q8—41no—
1111C2×Q8—41no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—24no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—24no—
1126C2×D4—28no—
1127C2×D4—24no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—28no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—22no—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—42no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—42no—
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—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
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—416no—
1226C2×D4—816no—
1227C2×D4—816no—
1228C2×D4—816no—
1229C2×D4—832no—
1230C2×D4—832no—
1231C2×D4—832no—
1232C2×D4—832no—
1233C2×D4—832no—
1234C2×D4—832no—
1235C2×D4H(5,𝔽2)18yes—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—28no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—28no—
1263C22×C4—28no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—416no—
1270C22×C4—41no—
1271C22×C4—42no—
1272C22×C4—41no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—41no—
1289C22×C4—44no—
1290C22×C4—88no—
1291C22×C4H(5,𝔽2)14yes—
1292C22×C4H(5,𝔽2)14yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2514yes—
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
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—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
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—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C42—24no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—24no—
1423C42—24no—
1424C42—42no—
1425C42—42no—
1426C42—44no—
1427C42—44no—
1428C42—44no—
1429C42—44no—
1430C42H(5,𝔽2)14yes—
1431C23—21no—
1432C23—21no—
1433C23—22no—
1434C23—21no—
1435C23—22no—
1436C23—22no—
1437C23—21no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—21no—
1445C23—24no—
1446C23—24no—
1447C23—24no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—24no—
1452C23—24no—
1453C23—24no—
1454C23—24no—
1455C23—24no—
1456C23—22no—
1457C23—21no—
1458C23—24no—
1459C23—24no—
1460C23—24no—
1461C23—22no—
1462C23—24no—
1463C23—24no—
1464C23—22no—
1465C23—24no—
1466C23—24no—
1467C23—21no—
1468C23—24no—
1469C23—22no—
1470C23—24no—
1471C23—24no—
1472C23—24no—
1473C23—24no—
1474C23—22no—
1475C23—22no—
1476C23—24no—
1477C23—44no—
1478C23—44no—
1479C23—48no—
1480C23—48no—
1481C23—44no—
1482C23—416no—
1483C23—82no—
1484C23—82no—
1485C23—84no—
1486C23—84no—
1487C23—88no—
1488C23—88no—
1489C23—88no—
1490C23—88no—
1491C23—88no—
1492C23—88no—
1493C23—88no—
1494C23—88no—
1495C23—88no—
1496C23—82no—
1497C23—88no—
1498C23—88no—
1499C23—88no—
1500C23—88no—
1501C23—88no—
1502C23—164no—
1503C23—164no—
1504C23—164no—
1505C23—164no—
1506C23—164no—
1507C23—164no—
1508C23C2×H(5,𝔽2)14yes—
1509C23C2×H(5,𝔽2)12yes—
1510C23C2×H(5,𝔽2)12yes—
1511C23C2×H(5,𝔽2)14yes—
1512C23C2611yescharacteristic
1513Q8—82no—
1514D4—216no—
1515D4—48no—
1516D4—48no—
1517D4—416no—
1518D4—416no—
1519D4—48no—
1520D4—416no—
1521D4—48no—
1522D4—48no—
1523D4—48no—
1524D4—88no—
1525D4—88no—
1526D4—88no—
1527D4—82no—
1528D4—84no—
1529D4—88no—
1530D4—88no—
1531D4—88no—
1532D4—88no—
1533D4—88no—
1534D4—88no—
1535D4—84no—
1536D4—84no—
1537D4—88no—
1538D4—88no—
1539D4—88no—
1540D4—88no—
1541D4—88no—
1542D4—88no—
1543D4—88no—
1544D4—88no—
1545D4—88no—
1546D4—164no—
1547D4—164no—
1548D4—164no—
1549D4—164no—
1550D4—164no—
1551D4—164no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—28no—
1561C2×C4—28no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—48no—
1609C2×C4—44no—
1610C2×C4—48no—
1611C2×C4—48no—
1612C2×C4—84no—
1613C2×C4—88no—
1614C2×C4—88no—
1615C2×C4—84no—
1616C2×C4—82no—
1617C2×C4—88no—
1618C2×C4—82no—
1619C2×C4—88no—
1620C2×C4—88no—
1621C2×C4C2×H(5,𝔽2)14yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4C2×H(5,𝔽2)14yes—
1624C2×C4C2×H(5,𝔽2)12yes—
1625C2×C4C2×H(5,𝔽2)12yes—
1626C2×C4C2×H(5,𝔽2)12yes—
1627C2×C4C2×H(5,𝔽2)12yes—
1628C22—22no—
1629C22—22no—
1630C22—24no—
1631C22—24no—
1632C22—22no—
1633C22—24no—
1634C22—24no—
1635C22—24no—
1636C22—24no—
1637C22—42no—
1638C22—41no—
1639C22—41no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—41no—
1645C22—42no—
1646C22—44no—
1647C22—44no—
1648C22—41no—
1649C22—44no—
1650C22—42no—
1651C22—44no—
1652C22—44no—
1653C22—44no—
1654C22—41no—
1655C22—42no—
1656C22—44no—
1657C22—44no—
1658C22—44no—
1659C22—44no—
1660C22—42no—
1661C22—44no—
1662C22—44no—
1663C22—44no—
1664C22—42no—
1665C22—44no—
1666C22—44no—
1667C22—44no—
1668C22—44no—
1669C22—42no—
1670C22—42no—
1671C22—44no—
1672C22—42no—
1673C22—42no—
1674C22—44no—
1675C22—44no—
1676C22—44no—
1677C22—88no—
1678C22—88no—
1679C22—1616no—
1680C22—1616no—
1681C22—1616no—
1682C22#353714yes—
1683C22C22×H(5,𝔽2)11yescharacteristic
1684C22C22×H(5,𝔽2)12yes—
1685C22C22×H(5,𝔽2)11yescharacteristic
1686C22C22×H(5,𝔽2)11yescharacteristic
1687C22H(7,𝔽2)12yes—
1688C4—22no—
1689C4—22no—
1690C4—24no—
1691C4—24no—
1692C4—41no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—44no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—44no—
1701C4—42no—
1702C4—44no—
1703C4—44no—
1704C4—44no—
1705C4—42no—
1706C4#353714yes—
1707C2—24no—
1708C2—42no—
1709C2—44no—
1710C2—81no—
1711C2—82no—
1712C2—84no—
1713C2—84no—
1714C2—84no—
1715C2C2×#353711yescharacteristic
1716C2C2×#353711yescharacteristic
1717C2#6288011yescharacteristic
1718C2#6291212yes—
1719C2#6291212yes—
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. #59308C2semidirect
2. #59126C2semidirect
3. #57584C2semidirect
4. #57180C2semidirect
5. #56291C2semidirect
6. #54949C2semidirect
7. #53102C2semidirect
8. #52971C2semidirect
9. #52315C2semidirect
10. #43001C2semidirect
11. #42471C2semidirect
12. #42430C2semidirect
13. #40780C2semidirect
14. #40486C2semidirect
15. #39818C2semidirect
16. #39358C2semidirect
17. #39189C2semidirect
18. #37650C2semidirect
19. #37650C2semidirect
20. #37515C2semidirect
21. #37450C2semidirect
22. #37297C2semidirect
23. #37283C2semidirect
24. D4×#121C2semidirect
25. #35261C2semidirect
26. #34737C2semidirect
27. C2×#2619C2semidirect
28. C2×D42C22semidirect
29. C2×D42C22semidirect
30. C2×D42C22semidirect
31. C2×D42C22semidirect
32. C2×D42C22semidirect
33. C2×#540C22semidirect
34. C2×#535C22semidirect
35. C2×#534C22semidirect
36. C22×#127C22semidirect
37. C2×#525C22semidirect
38. C2×#525C22semidirect
39. C22×#121C22semidirect
40. C22×#121C22semidirect
41. C22×C4×D4C22semidirect
42. C22×#117C22semidirect
43. #2856C22semidirect
44. #2856C22semidirect
45. #2851C22semidirect
46. #2847C22semidirect
47. #2847C22semidirect
48. #2829C22semidirect
49. #2828C22semidirect
50. #2828C22semidirect
51. #2825C22semidirect
52. #2825C22semidirect
53. #2825C22semidirect
54. #2818C22semidirect
55. #2815C22semidirect
56. #2815C22semidirect
57. #2813C22semidirect
58. #2812C22semidirect
59. #2812C22semidirect
60. #2803C22semidirect
61. #2803C22semidirect
62. #2800C22semidirect
63. #2797C22semidirect
64. #2797C22semidirect
65. #2786C22semidirect
66. #2772C22semidirect
67. #2756C22semidirect
68. #2756C22semidirect
69. #2753C22semidirect
70. #2749C22semidirect
71. #2733C22semidirect
72. #2714C22semidirect
73. #2714C22semidirect
74. #2709C22semidirect
75. #2708C22semidirect
76. #2701C22semidirect
77. #2697C22semidirect
78. #2688C22semidirect
79. #2685C22semidirect
80. #2682C22semidirect
81. #2679C22semidirect
82. #2679C22semidirect
83. #2678C22semidirect
84. #2678C22semidirect
85. #2678C22semidirect
86. #2678C22semidirect
87. #2678C22semidirect
88. #2678C22semidirect
89. #2678C22semidirect
90. #2678C22semidirect
91. #2676C22semidirect
92. #2676C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2669C22semidirect
98. #2669C22semidirect
99. #2669C22semidirect
100. #2669C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2668C22semidirect
108. #2661C22semidirect
109. #2661C22semidirect
110. #2653C22semidirect
111. #2648C22semidirect
112. #2630C22semidirect
113. #2629C22semidirect
114. #2624C22semidirect
115. #2622C22semidirect
116. #2619C22semidirect
117. #2619C22semidirect
118. #2619C22semidirect
119. #2619C22semidirect
120. #2619C22semidirect
121. #2619C22semidirect
122. #2619C22semidirect
123. #2619C22semidirect
124. #2619C22semidirect
125. #2619C22semidirect
126. #2617C22semidirect
127. #2617C22semidirect
128. #2617C22semidirect
129. #2615C22semidirect
130. #2613C22semidirect
131. #2602C22semidirect
132. #2576C22semidirect
133. #2570C22semidirect
134. #2559C22semidirect
135. #2543C22semidirect
136. #2541C22semidirect
137. #2541C22semidirect
138. #2541C22semidirect
139. #2541C22semidirect
140. #2537C22semidirect
141. #2535C22semidirect
142. #2535C22semidirect
143. #2518C22semidirect
144. #2513C22semidirect
145. #2512C22semidirect
146. #2510C22semidirect
147. #2504C22semidirect
148. #2504C22semidirect
149. #2500C22semidirect
150. #2500C22semidirect
151. #2495C22semidirect
152. #2494C22semidirect
153. #2490C22semidirect
154. #2490C22semidirect
155. #2480C22semidirect
156. #2476C22semidirect
157. #2472C22semidirect
158. #2472C22semidirect
159. #2471C22semidirect
160. #2464C22semidirect
161. #2464C22semidirect
162. #2456C22semidirect
163. #2456C22semidirect
164. #2445C22semidirect
165. #2445C22semidirect
166. #2444C22semidirect
167. #2443C22semidirect
168. #2433C22semidirect
169. #2433C22semidirect
170. #2433C22semidirect
171. #2433C22semidirect
172. #2433C22semidirect
173. #2433C22semidirect
174. #2433C22semidirect
175. #2433C22semidirect
176. #2428C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2428C22semidirect
180. #2424C22semidirect
181. #2424C22semidirect
182. #2424C22semidirect
183. #2424C22semidirect
184. #2422C22semidirect
185. #2422C22semidirect
186. #2417C22semidirect
187. #2416C22semidirect
188. #2416C22semidirect
189. #2416C22semidirect
190. #2416C22semidirect
191. #2416C22semidirect
192. #2416C22semidirect
193. #2415C22semidirect
194. #2414C22semidirect
195. #2414C22semidirect
196. #2414C22semidirect
197. #2413C22semidirect
198. #2412C22semidirect
199. #2411C22semidirect
200. #2410C22semidirect
201. #2410C22semidirect
202. #2410C22semidirect
203. #2410C22semidirect
204. #2410C22semidirect
205. #2410C22semidirect
206. #2410C22semidirect
207. #2408C22semidirect
208. #2408C22semidirect
209. #2408C22semidirect
210. #2408C22semidirect
211. #2408C22semidirect
212. #2408C22semidirect
213. #2408C22semidirect
214. #2403C22semidirect
215. #2403C22semidirect
216. #2403C22semidirect
217. #2403C22semidirect
218. #2403C22semidirect
219. #2392C22semidirect
220. #2392C22semidirect
221. C2×#394C22semidirect
222. C2×#392C22semidirect
223. #2366C22semidirect
224. #2364C22semidirect
225. #2357C22semidirect
226. #2352C22semidirect
227. #2352C22semidirect
228. D4×C4⋊C4C22semidirect
229. D4×C22⋊C4C22semidirect
230. #2324C22semidirect
231. #2324C22semidirect
232. #2321C22semidirect
233. #2314C22semidirect
234. C4×#121C22semidirect
235. C4×#121C22semidirect
236. C4×#121C22semidirect
237. C4×#121C22semidirect
238. #2297C22semidirect
239. #2296C22semidirect
240. C2×#390C22semidirect
241. C2×#382C22semidirect
242. #2280C22semidirect

Maximal subgroups

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

subgroupindex
#593082
#591262
#575842
#571802
#562912
#549492
#531022
#529712
#523152
#430012
#424712
#424302
#407802
#404862
#398182
#393582
#391892
#376502
#375152
#374502
#372972
#372832
D4×#1212
#352612
#347372
C2×#26192