Finite Group Databasebeta

← #8552173

Subgroups — #8552173

Order 512.

6171 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59024C212yesmaximal, complemented
2#58267C212yesmaximal, complemented
3#57974C214yesmaximal, complemented
4#56343C214yesmaximal, complemented
5#56299C214yesmaximal, complemented
6#55057C214yesmaximal, complemented
7#54956C214yesmaximal, complemented
8#53015C211yesmaximal, characteristic, complemented
9#52971C212yesmaximal, complemented
10#52420C212yesmaximal, complemented
11#52103C211yesmaximal, characteristic, complemented
12#51899C214yesmaximal, complemented
13#47794C212yesmaximal, complemented
14#46328C211yesmaximal, characteristic, complemented
15#45251C211yesmaximal, characteristic, complemented
16#44930C212yesmaximal, complemented
17#42985C211yesmaximal, characteristic, complemented
18#42982C212yesmaximal, complemented
19#42839C212yesmaximal, complemented
20#42107C212yesmaximal, complemented
21#39339C212yesmaximal, complemented
22#39169C211yesmaximal, characteristic, complemented
23#38201C212yesmaximal, complemented
24#37839C212yesmaximal, complemented
25#37657C212yesmaximal, complemented
26#37439C212yesmaximal, complemented
27#37334C212yesmaximal, complemented
28#36091C211yesmaximal, characteristic, complemented
29#35512C212yesmaximal, complemented
30C22×H(5,𝔽2)C2211yescharacteristic
31C2×#560C2212yescomplemented
32C2×#554C2211yescharacteristic, complemented
33C2×#550C2211yescharacteristic, complemented
34C2×#550C2212yescomplemented
35C2×#547C2212yescomplemented
36C2×#537C2211yescharacteristic, complemented
37C2×#535C2214yescomplemented
38C2×#525C2212yes—
39C2×#525C2212yescomplemented
40C2×#525C2212yescomplemented
41C22×#121C2212yescomplemented
42#2860C2212yescomplemented
43#2858C2211yescharacteristic, complemented
44#2847C2212yescomplemented
45#2840C2212yescomplemented
46#2830C2214yescomplemented
47#2830C2214yescomplemented
48#2829C2214yescomplemented
49#2825C2214yescomplemented
50#2825C2214yescomplemented
51#2823C2212yescomplemented
52#2819C2214yescomplemented
53#2819C2212yescomplemented
54#2815C2212yescomplemented
55#2813C2214yescomplemented
56#2813C2214yescomplemented
57#2812C2214yescomplemented
58#2803C2214yescomplemented
59#2803C2214yescomplemented
60#2789C2212yescomplemented
61#2785C2212yescomplemented
62#2768C2214yescomplemented
63#2760C2212yescomplemented
64#2752C2214yescomplemented
65#2751C2214yescomplemented
66#2751C2214yescomplemented
67#2742C2214yescomplemented
68#2741C2214yescomplemented
69#2735C2214yescomplemented
70#2733C2214yescomplemented
71#2714C2214yescomplemented
72#2710C2214yescomplemented
73#2710C2214yescomplemented
74#2709C2214yescomplemented
75#2707C2214yescomplemented
76#2706C2214yescomplemented
77#2703C2214yescomplemented
78#2701C2214yescomplemented
79#2699C2214yescomplemented
80#2699C2212yescomplemented
81#2697C2214yescomplemented
82#2697C2214yescomplemented
83#2697C2212yescomplemented
84#2696C2214yescomplemented
85#2696C2214yescomplemented
86#2692C2214yescomplemented
87#2688C2214yescomplemented
88#2686C2214yescomplemented
89#2685C2214yescomplemented
90#2684C2214yescomplemented
91#2684C2214yescomplemented
92#2684C2214yescomplemented
93#2683C2211yescharacteristic, complemented
94#2682C2212yescomplemented
95#2681C2212yescomplemented
96#2681C2214yescomplemented
97#2681C2212yescomplemented
98#2680C2211yescharacteristic, complemented
99#2680C2211yescharacteristic, complemented
100#2679C2211yescharacteristic, complemented
101#2678C2212yescomplemented
102#2678C2212yescomplemented
103#2678C2214yescomplemented
104#2676C2214yescomplemented
105#2676C2214yescomplemented
106#2676C2214yescomplemented
107#2676C2214yescomplemented
108#2673C2214yescomplemented
109#2673C2214yescomplemented
110#2673C2214yescomplemented
111#2673C2214yescomplemented
112#2673C2214yescomplemented
113#2672C2214yescomplemented
114#2671C2214yescomplemented
115#2670C2212yescomplemented
116#2670C2214yescomplemented
117#2670C2214yescomplemented
118#2669C2214yescomplemented
119#2669C2214yescomplemented
120#2669C2214yescomplemented
121#2669C2212yescomplemented
122#2668C2214yescomplemented
123#2668C2214yescomplemented
124#2661C2214yescomplemented
125#2656C2214yescomplemented
126#2653C2214yescomplemented
127#2648C2214yescomplemented
128#2648C2214yescomplemented
129#2641C2212yescomplemented
130#2639C2212yescomplemented
131#2639C2214yescomplemented
132#2638C2212yescomplemented
133#2628C2212yescomplemented
134#2626C2214yescomplemented
135#2624C2212yescomplemented
136#2624C2212yescomplemented
137#2619C2212yescomplemented
138#2617C2214yescomplemented
139#2615C2211yescharacteristic
140#2615C2212yescomplemented
141#2615C2211yescharacteristic, complemented
142#2615C2212yescomplemented
143#2613C2214yescomplemented
144#2610C2214yescomplemented
145#2609C2212yescomplemented
146#2607C2212yescomplemented
147#2576C2214yescomplemented
148#2566C2212yescomplemented
149#2563C2211yescharacteristic, complemented
150#2563C2212yescomplemented
151#2555C2214yescomplemented
152#2543C2212yescomplemented
153#2541C2211yescharacteristic, complemented
154#2541C2212yescomplemented
155#2541C2212yescomplemented
156#2539C2214yescomplemented
157#2536C2212yescomplemented
158#2535C2212yescomplemented
159#2530C2214yescomplemented
160#2521C2214yescomplemented
161#2513C2212yescomplemented
162#2513C2212yescomplemented
163#2504C2212yescomplemented
164#2504C2211yescharacteristic, complemented
165#2494C2212yescomplemented
166#2491C2212yescomplemented
167#2491C2212yescomplemented
168#2491C2212yescomplemented
169#2491C2212yescomplemented
170#2488C2214yescomplemented
171#2487C2212yescomplemented
172#2487C2212yescomplemented
173#2486C2212yescomplemented
174#2486C2211yescharacteristic, complemented
175#2479C2214yescomplemented
176#2472C2214yescomplemented
177#2471C2214yescomplemented
178#2464C2214yescomplemented
179#2463C2214yescomplemented
180#2460C2214yescomplemented
181#2457C2214yescomplemented
182#2456C2214yescomplemented
183#2451C2212yescomplemented
184#2450C2214yescomplemented
185#2450C2214yescomplemented
186#2445C2212yescomplemented
187#2439C2212yescomplemented
188#2433C2212yes—
189#2433C2212yescomplemented
190#2433C2214yescomplemented
191#2433C2211yescharacteristic, complemented
192#2431C2214yescomplemented
193#2430C2214yescomplemented
194#2430C2214yescomplemented
195#2428C2214yescomplemented
196#2428C2212yescomplemented
197#2428C2212yescomplemented
198#2427C2214yescomplemented
199#2424C2214yescomplemented
200#2421C2212yescomplemented
201#2416C2212yescomplemented
202#2416C2212yescomplemented
203#2416C2212yescomplemented
204#2416C2212yescomplemented
205#2416C2212yescomplemented
206#2416C2212yescomplemented
207#2416C2212yescomplemented
208#2414C2212yescomplemented
209#2411C2214yescomplemented
210#2410C2214yescomplemented
211#2410C2214yescomplemented
212#2408C2214yes—
213#2408C2214yes—
214#2408C2212yes—
215#2408C2212yes—
216#2408C2212yes—
217#2408C2214yescomplemented
218#2408C2212yescomplemented
219#2408C2211yescharacteristic, complemented
220#2408C2212yescomplemented
221#2408C2212yescomplemented
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2407C2214yescomplemented
228#2407C2214yescomplemented
229#2405C2214yes—
230#2405C2214yescomplemented
231#2404C2214yescomplemented
232#2404C2214yescomplemented
233#2403C2214yes—
234#2403C2214yescomplemented
235#2392C2212yescomplemented
236#2392C2212yescomplemented
237#2388C2211yescharacteristic
238#2388C2211yescharacteristic, complemented
239#2388C2212yescomplemented
240#2364C2214yescomplemented
241#2360C2212yescomplemented
242#2352C2212yescomplemented
243#2352C2212yescomplemented
244#2344C2212yescomplemented
245#2341C2212yescomplemented
246#2341C2211yescharacteristic, complemented
247#2339C2211yescharacteristic, complemented
248#2328C2212yescomplemented
249#2324C2212yescomplemented
250#2323C2212yescomplemented
251#2311C2212yes—
252#2311C2212yescomplemented
253#2309C2212yescomplemented
254C4×#127C2211yescharacteristic, complemented
255C4×#120C2212yescomplemented
256#2295C2211yescharacteristic, complemented
257#2293C2212yescomplemented
258C2×#380C2212yescomplemented
259C2×H(5,𝔽2)—48no—
260C2×H(5,𝔽2)—44no—
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2312yes—
266C22×#41C2311yescharacteristic
267C22×#41C2314yes—
268C23×D4C2312yes—
269C23×D4C2312yes—
270C23×D4C2314yes—
271C23×D4C2311yescharacteristic
272C23×D4C2314yes—
273C24×C4C2312yes—
274#560—48no—
275#554—44no—
276#550—48no—
277#550—44no—
278#547—48no—
279#537—44no—
280#535—416no—
281C2×C4⋊Q8C2311yescharacteristic
282C2×C4⋊Q8C2312yes—
283C2×#127C2311yescharacteristic
284C2×#127C2312yes—
285C2×#127C2311yescharacteristic
286C2×#127C2312yes—
287C2×#127C2312yes—
288C2×#127C2314yes—
289C2×#127C2314yes—
290C2×#126C2314yes—
291C2×#125C2312yes—
292C2×#124C2314yes—
293C2×#124C2314yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296C2×#124C2314yes—
297#525—48no—
298#525—48no—
299#525—48no—
300C2×#123C2314yes—
301C2×#123C2312yes—
302C2×#123C2314yes—
303C2×#123C2312yes—
304C2×#123C2314yes—
305C2×#123C2312yes—
306C2×#123C2312yes—
307C2×#123C2314yes—
308C2×#123C2312yes—
309C2×#123C2314yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×#121—48no—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2311yescharacteristic
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2311yescharacteristic
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#120C2312yes—
354C2×#120C2314yes—
355C2×#120C2312yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2312yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2312yes—
362C2×#120C2312yes—
363C2×#120C2312yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2314yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2314yes—
396#401C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2312yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#397C2312yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2312yes—
427#397C2312yes—
428#397C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2312yes—
435#396C2314yes—
436#396C2312yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#396C2312yes—
441#395C2314yes—
442#395C2314yes—
443#395C2311yescharacteristic
444#395C2311yescharacteristic
445#394C2312yes—
446#394C2311yescharacteristic
447#394C2312yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2311yescharacteristic
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2312yes—
490#393C2314yes—
491#393C2314yes—
492#393C2312yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2311yescharacteristic
498#393C2314yes—
499#393C2311yescharacteristic
500#393C2314yes—
501#393C2312yes—
502#393C2312yes—
503#393C2314yes—
504#392C2314yes—
505#392C2312yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2312yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2312yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2312yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2312yes—
525#392C2314yes—
526#392C2312yes—
527#392C2311yescharacteristic
528#392C2312yes—
529#392C2311yescharacteristic
530#392C2314yes—
531#392C2312yes—
532#392C2312yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#391C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2314yes—
545#391C2314yes—
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2314yes—
575#390C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
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#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
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#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#384C2311yescharacteristic
671#382C2312yes—
672#382C2314yes—
673#382C2312yes—
674#382C2312yes—
675#381C2314yes—
676#381C2312yes—
677#381C2314yes—
678#381C2312yes—
679#380C2312yes—
680#380C2311yescharacteristic
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2314yes—
688#380C2314yes—
689#380C2312yes—
690#380C2311yescharacteristic
691#380C2312yes—
692#380C2312yes—
693#380C2314yes—
694#380C2312yes—
695#380C2314yes—
696#380C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2312yes—
701#379C2312yes—
702#379C2314yes—
703#379C2314yes—
704#379C2314yes—
705#379C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2311yescharacteristic
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2311yescharacteristic
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2311yescharacteristic
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721#376C2312yes—
722C2×#95C2312yes—
723C2×#95C2314yes—
724C43C2311yescharacteristic
725C25C2412yes—
726C25C2414yes—
727C25C2412yes—
728H(5,𝔽2)—464no—
729C2×#41—28no—
730C2×#41—24no—
731C2×#41—24no—
732C2×#41—28no—
733C2×#41—28no—
734C2×#41—42no—
735C2×#41—44no—
736C2×#41—44no—
737C2×#41—42no—
738C2×#41—48no—
739C2×#41—48no—
740C2×#41—44no—
741C2×#41—44no—
742C2×#41—48no—
743C2×#41—44no—
744C2×#41—84no—
745C22×Q8C2411yescharacteristic
746C22×Q8C2411yescharacteristic
747C22×Q8C2411yescharacteristic
748C22×Q8C2412yes—
749C22×Q8C2414yes—
750C22×D4—28no—
751C22×D4—44no—
752C22×D4—44no—
753C22×D4—48no—
754C22×D4—44no—
755C22×D4—44no—
756C22×D4—48no—
757C22×D4—42no—
758C22×D4—48no—
759C22×D4—48no—
760C22×D4—48no—
761C22×D4—48no—
762C22×D4—84no—
763C22×D4C2411yescharacteristic
764C22×D4C2411yescharacteristic
765C22×D4C2412yes—
766C22×D4C2412yes—
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2412yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2411yescharacteristic
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2411yescharacteristic
793C22×D4C2412yes—
794C22×D4C2412yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2412yes—
799C22×D4C2411yescharacteristic
800C23×C4—28no—
801C23×C4—44no—
802C23×C4—44no—
803C23×C4C2412yes—
804C23×C4C2411yescharacteristic
805C23×C4C2412yes—
806C23×C4C2411yescharacteristic
807C23×C4C2414yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2414yes—
811C23×C4C2414yes—
812C23×C4C2412yes—
813C23×C4C2412yes—
814C23×C4C2412yes—
815C23×C4C2412yes—
816C23×C4C2414yes—
817C23×C4C2412yes—
818C23×C4C2414yes—
819C4⋊Q8—44no—
820C4⋊Q8—42no—
821#127—28no—
822#127—24no—
823#127—44no—
824#127—44no—
825#127—42no—
826#127—48no—
827#127—48no—
828#126—48no—
829#125—44no—
830#124—48no—
831#124—48no—
832#124—84no—
833#124—84no—
834#124—84no—
835#123—48no—
836#123—44no—
837#123—44no—
838#123—44no—
839#123—48no—
840#123—48no—
841#123—44no—
842#123—48no—
843#123—44no—
844#123—84no—
845C22⋊Q8—28no—
846C22⋊Q8—28no—
847C22⋊Q8—44no—
848C22⋊Q8—48no—
849C22⋊Q8—48no—
850C22⋊Q8—44no—
851C22⋊Q8—44no—
852C22⋊Q8—44no—
853C22⋊Q8—44no—
854#121—216no—
855#121—28no—
856#121—44no—
857#121—44no—
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—44no—
867#121—44no—
868#121—44no—
869#121—44no—
870#121—48no—
871#121—48no—
872#121—44no—
873#121—44no—
874#121—44no—
875#121—44no—
876#121—42no—
877#121—42no—
878#121—44no—
879#121—44no—
880#121—44no—
881#121—44no—
882#121—48no—
883#121—48no—
884#121—84no—
885#121—84no—
886#121—84no—
887#120—28no—
888#120—44no—
889#120—48no—
890#120—48no—
891#120—44no—
892#120—44no—
893#120—44no—
894#120—48no—
895#120—44no—
896#120—48no—
897#120—48no—
898#120—84no—
899#120—84no—
900#120—84no—
901#120—84no—
902#120—84no—
903C4×Q8—24no—
904C4×Q8—44no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—42no—
916C4×D4—42no—
917C4×D4—48no—
918C4×D4—48no—
919C4×D4—48no—
920#117—44no—
921#117—44no—
922#117—48no—
923#117—44no—
924C2×C4⋊C4—28no—
925C2×C4⋊C4—42no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C22⋊C4—48no—
966C2×C22⋊C4—84no—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2411yescharacteristic
1068#95C2412yes—
1069#95C2412yes—
1070#95C2411yescharacteristic
1071#95C2414yes—
1072#95C2414yes—
1073#95C2411yescharacteristic
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098C24—24no—
1099C24—28no—
1100C24—24no—
1101C24—42no—
1102C24—42no—
1103C24—42no—
1104C24—44no—
1105C24—44no—
1106C24—42no—
1107C24—44no—
1108C24—42no—
1109C24—42no—
1110C24—44no—
1111C24—44no—
1112C24—44no—
1113C24—44no—
1114C24—42no—
1115C24—44no—
1116C24—42no—
1117C24C2514yes—
1118C24C2511yescharacteristic
1119C24C2512yes—
1120C24C2512yes—
1121C24C2512yes—
1122C24C2511yescharacteristic
1123C24C2512yes—
1124C24C2512yes—
1125#41—416no—
1126#41—432no—
1127#41—416no—
1128#41—432no—
1129#41—88no—
1130#41—88no—
1131#41—832no—
1132C2×Q8—24no—
1133C2×Q8—24no—
1134C2×Q8—41no—
1135C2×Q8—42no—
1136C2×Q8—41no—
1137C2×Q8—44no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—42no—
1141C2×Q8—44no—
1142C2×Q8H(5,𝔽2)14yes—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—28no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—28no—
1152C2×D4—24no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—28no—
1156C2×D4—28no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—28no—
1160C2×D4—24no—
1161C2×D4—22no—
1162C2×D4—28no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—22no—
1169C2×D4—24no—
1170C2×D4—22no—
1171C2×D4—24no—
1172C2×D4—41no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—41no—
1179C2×D4—42no—
1180C2×D4—44no—
1181C2×D4—41no—
1182C2×D4—42no—
1183C2×D4—432no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—42no—
1191C2×D4—41no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—42no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—41no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—41no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—464no—
1245C2×D4—432no—
1246C2×D4—416no—
1247C2×D4—832no—
1248C2×D4H(5,𝔽2)14yescomplemented
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—28no—
1252C22×C4—24no—
1253C22×C4—28no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—24no—
1263C22×C4—28no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—44no—
1291C22×C4—42no—
1292C22×C4—816no—
1293C22×C4H(5,𝔽2)18yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2514yes—
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2514yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—24no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—41no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—41no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
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—42no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—22no—
1436C42—41no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42—42no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—24no—
1456C23—22no—
1457C23—24no—
1458C23—22no—
1459C23—22no—
1460C23—21no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—24no—
1465C23—22no—
1466C23—21no—
1467C23—24no—
1468C23—24no—
1469C23—21no—
1470C23—21no—
1471C23—22no—
1472C23—24no—
1473C23—22no—
1474C23—22no—
1475C23—24no—
1476C23—22no—
1477C23—24no—
1478C23—22no—
1479C23—24no—
1480C23—24no—
1481C23—22no—
1482C23—22no—
1483C23—24no—
1484C23—21no—
1485C23—22no—
1486C23—22no—
1487C23—21no—
1488C23—48no—
1489C23—48no—
1490C23—416no—
1491C23—48no—
1492C23—84no—
1493C23—84no—
1494C23—84no—
1495C23—88no—
1496C23—88no—
1497C23—84no—
1498C23—84no—
1499C23—164no—
1500C23—164no—
1501C23—164no—
1502C23—164no—
1503C23—162no—
1504C23—164no—
1505C23—162no—
1506C23—164no—
1507C23C2×H(5,𝔽2)14yes—
1508C23C2×H(5,𝔽2)14yes—
1509C23C2611yescharacteristic
1510Q8—28no—
1511Q8—44no—
1512Q8—88no—
1513Q8—82no—
1514Q8—162no—
1515D4—44no—
1516D4—48no—
1517D4—416no—
1518D4—416no—
1519D4—48no—
1520D4—44no—
1521D4—48no—
1522D4—48no—
1523D4—44no—
1524D4—48no—
1525D4—44no—
1526D4—82no—
1527D4—84no—
1528D4—84no—
1529D4—84no—
1530D4—84no—
1531D4—88no—
1532D4—84no—
1533D4—84no—
1534D4—84no—
1535D4—88no—
1536D4—88no—
1537D4—88no—
1538D4—88no—
1539D4—88no—
1540D4—84no—
1541D4—88no—
1542D4—88no—
1543D4—88no—
1544D4—82no—
1545D4—84no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—164no—
1550D4—164no—
1551D4—164no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—216no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
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—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—416no—
1606C2×C4—48no—
1607C2×C4—416no—
1608C2×C4—48no—
1609C2×C4—48no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—84no—
1616C2×C4—88no—
1617C2×C4—88no—
1618C2×C4—164no—
1619C2×C4—162no—
1620C2×C4C2×H(5,𝔽2)12yes—
1621C2×C4C2×H(5,𝔽2)14yes—
1622C2×C4C2×H(5,𝔽2)14yes—
1623C2×C4C2×H(5,𝔽2)14yes—
1624C2×C4C2×H(5,𝔽2)12yes—
1625C22—24no—
1626C22—24no—
1627C22—24no—
1628C22—24no—
1629C22—24no—
1630C22—24no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—44no—
1641C22—42no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—44no—
1648C22—42no—
1649C22—44no—
1650C22—42no—
1651C22—44no—
1652C22—44no—
1653C22—41no—
1654C22—42no—
1655C22—41no—
1656C22—42no—
1657C22—44no—
1658C22—42no—
1659C22—44no—
1660C22—42no—
1661C22—44no—
1662C22—44no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—44no—
1667C22—42no—
1668C22—44no—
1669C22—42no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—816no—
1674C22—1616no—
1675C22—168no—
1676C22C22×H(5,𝔽2)11yescharacteristic
1677C22C22×H(5,𝔽2)12yes—
1678C22C22×H(5,𝔽2)11yescharacteristic
1679C22H(7,𝔽2)12yes—
1680C222−1+611yescharacteristic
1681C4—22no—
1682C4—24no—
1683C4—24no—
1684C4—42no—
1685C4—44no—
1686C4—41no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—44no—
1691C4—44no—
1692C4—44no—
1693C4—42no—
1694C4—44no—
1695C4—42no—
1696C4—42no—
1697C4—41no—
1698C4—42no—
1699C4—41no—
1700C4—42no—
1701C4#353214yes—
1702C2—44no—
1703C2—44no—
1704C2—81no—
1705C2—82no—
1706C2—82no—
1707C2—84no—
1708C2—81no—
1709C2—82no—
1710C2C2×#353211yescharacteristic
1711C2#6287512yes—
1712C2#6289511yescharacteristic
1713C2#6291212yes—
1714C2#6306611yescharacteristic
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. #59024C2semidirect
2. #58267C2semidirect
3. #57974C2semidirect
4. #56343C2semidirect
5. #56299C2semidirect
6. #55057C2semidirect
7. #54956C2semidirect
8. #53015C2semidirect
9. #52971C2semidirect
10. #52420C2semidirect
11. #52103C2semidirect
12. #51899C2semidirect
13. #47794C2semidirect
14. #46328C2semidirect
15. #45251C2semidirect
16. #44930C2semidirect
17. #42985C2semidirect
18. #42982C2semidirect
19. #42839C2semidirect
20. #42107C2semidirect
21. #39339C2semidirect
22. #39169C2semidirect
23. #38201C2semidirect
24. #37839C2semidirect
25. #37657C2semidirect
26. #37439C2semidirect
27. #37334C2semidirect
28. #36091C2semidirect
29. #35512C2semidirect
31. C2×#560C22semidirect
32. C2×#554C22semidirect
33. C2×#550C22semidirect
34. C2×#550C22semidirect
35. C2×#547C22semidirect
36. C2×#537C22semidirect
37. C2×#535C22semidirect
39. C2×#525C22semidirect
40. C2×#525C22semidirect
41. C22×#121C22semidirect
42. #2860C22semidirect
43. #2858C22semidirect
44. #2847C22semidirect
45. #2840C22semidirect
46. #2830C22semidirect
47. #2830C22semidirect
48. #2829C22semidirect
49. #2825C22semidirect
50. #2825C22semidirect
51. #2823C22semidirect
52. #2819C22semidirect
53. #2819C22semidirect
54. #2815C22semidirect
55. #2813C22semidirect
56. #2813C22semidirect
57. #2812C22semidirect
58. #2803C22semidirect
59. #2803C22semidirect
60. #2789C22semidirect
61. #2785C22semidirect
62. #2768C22semidirect
63. #2760C22semidirect
64. #2752C22semidirect
65. #2751C22semidirect
66. #2751C22semidirect
67. #2742C22semidirect
68. #2741C22semidirect
69. #2735C22semidirect
70. #2733C22semidirect
71. #2714C22semidirect
72. #2710C22semidirect
73. #2710C22semidirect
74. #2709C22semidirect
75. #2707C22semidirect
76. #2706C22semidirect
77. #2703C22semidirect
78. #2701C22semidirect
79. #2699C22semidirect
80. #2699C22semidirect
81. #2697C22semidirect
82. #2697C22semidirect
83. #2697C22semidirect
84. #2696C22semidirect
85. #2696C22semidirect
86. #2692C22semidirect
87. #2688C22semidirect
88. #2686C22semidirect
89. #2685C22semidirect
90. #2684C22semidirect
91. #2684C22semidirect
92. #2684C22semidirect
93. #2683C22semidirect
94. #2682C22semidirect
95. #2681C22semidirect
96. #2681C22semidirect
97. #2681C22semidirect
98. #2680C22semidirect
99. #2680C22semidirect
100. #2679C22semidirect
101. #2678C22semidirect
102. #2678C22semidirect
103. #2678C22semidirect
104. #2676C22semidirect
105. #2676C22semidirect
106. #2676C22semidirect
107. #2676C22semidirect
108. #2673C22semidirect
109. #2673C22semidirect
110. #2673C22semidirect
111. #2673C22semidirect
112. #2673C22semidirect
113. #2672C22semidirect
114. #2671C22semidirect
115. #2670C22semidirect
116. #2670C22semidirect
117. #2670C22semidirect
118. #2669C22semidirect
119. #2669C22semidirect
120. #2669C22semidirect
121. #2669C22semidirect
122. #2668C22semidirect
123. #2668C22semidirect
124. #2661C22semidirect
125. #2656C22semidirect
126. #2653C22semidirect
127. #2648C22semidirect
128. #2648C22semidirect
129. #2641C22semidirect
130. #2639C22semidirect
131. #2639C22semidirect
132. #2638C22semidirect
133. #2628C22semidirect
134. #2626C22semidirect
135. #2624C22semidirect
136. #2624C22semidirect
137. #2619C22semidirect
138. #2617C22semidirect
140. #2615C22semidirect
141. #2615C22semidirect
142. #2615C22semidirect
143. #2613C22semidirect
144. #2610C22semidirect
145. #2609C22semidirect
146. #2607C22semidirect
147. #2576C22semidirect
148. #2566C22semidirect
149. #2563C22semidirect
150. #2563C22semidirect
151. #2555C22semidirect
152. #2543C22semidirect
153. #2541C22semidirect
154. #2541C22semidirect
155. #2541C22semidirect
156. #2539C22semidirect
157. #2536C22semidirect
158. #2535C22semidirect
159. #2530C22semidirect
160. #2521C22semidirect
161. #2513C22semidirect
162. #2513C22semidirect
163. #2504C22semidirect
164. #2504C22semidirect
165. #2494C22semidirect
166. #2491C22semidirect
167. #2491C22semidirect
168. #2491C22semidirect
169. #2491C22semidirect
170. #2488C22semidirect
171. #2487C22semidirect
172. #2487C22semidirect
173. #2486C22semidirect
174. #2486C22semidirect
175. #2479C22semidirect
176. #2472C22semidirect
177. #2471C22semidirect
178. #2464C22semidirect
179. #2463C22semidirect
180. #2460C22semidirect
181. #2457C22semidirect
182. #2456C22semidirect
183. #2451C22semidirect
184. #2450C22semidirect
185. #2450C22semidirect
186. #2445C22semidirect
187. #2439C22semidirect
189. #2433C22semidirect
190. #2433C22semidirect
191. #2433C22semidirect
192. #2431C22semidirect
193. #2430C22semidirect
194. #2430C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2427C22semidirect
199. #2424C22semidirect
200. #2421C22semidirect
201. #2416C22semidirect
202. #2416C22semidirect
203. #2416C22semidirect
204. #2416C22semidirect
205. #2416C22semidirect
206. #2416C22semidirect
207. #2416C22semidirect
208. #2414C22semidirect
209. #2411C22semidirect
210. #2410C22semidirect
211. #2410C22semidirect
217. #2408C22semidirect
218. #2408C22semidirect
219. #2408C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
230. #2405C22semidirect
231. #2404C22semidirect
232. #2404C22semidirect
234. #2403C22semidirect
235. #2392C22semidirect
236. #2392C22semidirect
238. #2388C22semidirect
239. #2388C22semidirect
240. #2364C22semidirect
241. #2360C22semidirect
242. #2352C22semidirect
243. #2352C22semidirect
244. #2344C22semidirect
245. #2341C22semidirect
246. #2341C22semidirect
247. #2339C22semidirect
248. #2328C22semidirect
249. #2324C22semidirect
250. #2323C22semidirect
252. #2311C22semidirect
253. #2309C22semidirect
254. C4×#127C22semidirect
255. C4×#120C22semidirect
256. #2295C22semidirect
257. #2293C22semidirect
258. C2×#380C22semidirect
1248. C2×D4H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
#590242
#582672
#579742
#563432
#562992
#550572
#549562
#530152
#529712
#524202
#521032
#518992
#477942
#463282
#452512
#449302
#429852
#429822
#428392
#421072
#393392
#391692
#382012
#378392
#376572
#374392
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