Finite Group Databasebeta

← #8552222

Subgroups — #8552222

Order 512.

5894 conjugacy classes of subgroups.

The subgroup lattice has 1677 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59755C212yesmaximal, complemented
2#58021C214yesmaximal, complemented
3#57179C214yesmaximal, complemented
4#56377C214yesmaximal, complemented
5#55325C214yesmaximal, complemented
6#55014C214yesmaximal, complemented
7#54174C212yesmaximal, complemented
8#53103C211yesmaximal, characteristic, complemented
9#52981C212yesmaximal, complemented
10#52405C212yesmaximal, complemented
11#52096C211yesmaximal, characteristic, complemented
12#50655C214yesmaximal, complemented
13#46836C212yesmaximal, complemented
14#45479C211yesmaximal, characteristic, complemented
15#45330C211yesmaximal, characteristic, complemented
16#44915C212yesmaximal, complemented
17#42987C212yesmaximal, complemented
18#42894C212yesmaximal, complemented
19#42810C211yesmaximal, characteristic, complemented
20#41174C212yesmaximal, complemented
21#39468C212yesmaximal, complemented
22#39375C212yesmaximal, complemented
23#39133C211yesmaximal, characteristic, complemented
24#38117C212yesmaximal, complemented
25#37649C212yesmaximal, complemented
26#37492C212yesmaximal, complemented
27#37269C212yesmaximal, complemented
28#36082C211yesmaximal, characteristic, complemented
29#35513C212yesmaximal, complemented
30C22×H(5,𝔽2)C2211yescharacteristic, complemented
31C2×H(3,𝔽4)C2212yescomplemented
32C2×#556C2212yescomplemented
33C2×#554C2211yescharacteristic, complemented
34C2×#548C2212yes—
35C2×#548C2211yescharacteristic
36C2×#538C2214yescomplemented
37C2×#537C2212yes—
38C2×#535C2212yes—
39C2×#532C2212yes—
40C2×#525C2212yescomplemented
41C22×C22⋊Q8C2211yescharacteristic, complemented
42#2857C2212yescomplemented
43#2847C2212yescomplemented
44#2847C2211yescharacteristic, complemented
45#2842C2214yescomplemented
46#2837C2214yescomplemented
47#2830C2214yescomplemented
48#2829C2214yescomplemented
49#2829C2214yescomplemented
50#2829C2214yescomplemented
51#2829C2214yescomplemented
52#2820C2212yescomplemented
53#2818C2214yescomplemented
54#2815C2212yescomplemented
55#2813C2214yescomplemented
56#2812C2212yescomplemented
57#2812C2212yescomplemented
58#2800C2214yescomplemented
59#2786C2214yescomplemented
60#2786C2214yescomplemented
61#2764C2212yescomplemented
62#2757C2214yescomplemented
63#2756C2214yescomplemented
64#2752C2212yescomplemented
65#2735C2212yescomplemented
66#2733C2214yescomplemented
67#2732C2214yescomplemented
68#2730C2214yescomplemented
69#2730C2214yescomplemented
70#2730C2214yescomplemented
71#2730C2214yescomplemented
72#2728C2212yescomplemented
73#2727C2214yescomplemented
74#2723C2214yescomplemented
75#2715C2214yescomplemented
76#2715C2214yescomplemented
77#2715C2214yescomplemented
78#2712C2214yescomplemented
79#2712C2214yescomplemented
80#2712C2212yescomplemented
81#2711C2214yescomplemented
82#2710C2214yescomplemented
83#2710C2214yescomplemented
84#2709C2214yescomplemented
85#2705C2214yescomplemented
86#2697C2214yescomplemented
87#2697C2214yescomplemented
88#2692C2214yescomplemented
89#2692C2214yescomplemented
90#2691C2214yescomplemented
91#2691C2214yescomplemented
92#2691C2214yescomplemented
93#2685C2214yescomplemented
94#2685C2214yescomplemented
95#2685C2214yescomplemented
96#2684C2214yescomplemented
97#2684C2212yescomplemented
98#2683C2214yescomplemented
99#2682C2214yescomplemented
100#2681C2214yescomplemented
101#2681C2214yescomplemented
102#2679C2214yescomplemented
103#2678C2214yescomplemented
104#2678C2214yescomplemented
105#2677C2211yescharacteristic, complemented
106#2676C2214yescomplemented
107#2676C2212yescomplemented
108#2676C2214yescomplemented
109#2675C2211yescharacteristic, complemented
110#2674C2212yescomplemented
111#2673C2212yescomplemented
112#2672C2214yescomplemented
113#2672C2212yescomplemented
114#2672C2214yescomplemented
115#2671C2212yescomplemented
116#2670C2214yescomplemented
117#2670C2211yescharacteristic, complemented
118#2670C2214yescomplemented
119#2669C2212yescomplemented
120#2669C2214yescomplemented
121#2668C2214yescomplemented
122#2668C2214yescomplemented
123#2668C2211yescharacteristic, complemented
124#2662C2214yescomplemented
125#2662C2214yescomplemented
126#2662C2214yescomplemented
127#2651C2214yescomplemented
128#2648C2214yescomplemented
129#2644C2212yescomplemented
130#2640C2211yescharacteristic, complemented
131#2633C2212yescomplemented
132#2632C2214yescomplemented
133#2631C2212yescomplemented
134#2626C2214yescomplemented
135#2626C2214yescomplemented
136#2624C2212yescomplemented
137#2624C2212yescomplemented
138#2622C2214yescomplemented
139#2620C2212yescomplemented
140#2618C2212yescomplemented
141#2616C2212yescomplemented
142#2616C2211yescharacteristic, complemented
143#2616C2212yescomplemented
144#2600C2212yescomplemented
145#2589C2214yescomplemented
146#2586C2212yescomplemented
147#2560C2214yescomplemented
148#2556C2214yescomplemented
149#2555C2214yescomplemented
150#2548C2214yescomplemented
151#2547C2211yescharacteristic, complemented
152#2547C2212yescomplemented
153#2544C2214yescomplemented
154#2540C2212yescomplemented
155#2540C2211yescharacteristic, complemented
156#2540C2214yescomplemented
157#2539C2212yescomplemented
158#2538C2212yescomplemented
159#2538C2212yescomplemented
160#2535C2212yescomplemented
161#2534C2212yescomplemented
162#2523C2214yescomplemented
163#2522C2214yescomplemented
164#2521C2214yescomplemented
165#2521C2214yescomplemented
166#2518C2214yescomplemented
167#2512C2212yescomplemented
168#2512C2212yescomplemented
169#2501C2212yescomplemented
170#2501C2211yescharacteristic, complemented
171#2497C2212yescomplemented
172#2491C2212yescomplemented
173#2491C2212yescomplemented
174#2491C2212yescomplemented
175#2491C2212yescomplemented
176#2486C2211yescharacteristic, complemented
177#2485C2212yescomplemented
178#2485C2212yescomplemented
179#2485C2212yescomplemented
180#2480C2214yescomplemented
181#2472C2214yescomplemented
182#2467C2214yescomplemented
183#2465C2214yescomplemented
184#2464C2214yescomplemented
185#2461C2214yescomplemented
186#2456C2214yescomplemented
187#2451C2214yescomplemented
188#2451C2212yescomplemented
189#2449C2214yescomplemented
190#2448C2212yescomplemented
191#2440C2212yescomplemented
192#2435C2214yescomplemented
193#2435C2214yescomplemented
194#2435C2212yescomplemented
195#2435C2212yescomplemented
196#2435C2211yescharacteristic, complemented
197#2433C2214yes—
198#2432C2214yescomplemented
199#2431C2214yes—
200#2427C2214yescomplemented
201#2426C2214yescomplemented
202#2426C2212yescomplemented
203#2426C2212yescomplemented
204#2424C2214yescomplemented
205#2424C2214yescomplemented
206#2423C2212yescomplemented
207#2418C2214yescomplemented
208#2418C2214yescomplemented
209#2417C2212yescomplemented
210#2417C2212yescomplemented
211#2416C2214yescomplemented
212#2416C2212yescomplemented
213#2416C2212yescomplemented
214#2416C2212yescomplemented
215#2414C2212yescomplemented
216#2414C2212yescomplemented
217#2414C2212yescomplemented
218#2410C2214yes—
219#2410C2214yes—
220#2410C2214yescomplemented
221#2410C2214yescomplemented
222#2409C2212yescomplemented
223#2408C2214yes—
224#2408C2211yescharacteristic
225#2408C2212yes—
226#2408C2212yes—
227#2408C2212yes—
228#2408C2212yes—
229#2408C2212yescomplemented
230#2408C2212yescomplemented
231#2407C2212yes—
232#2407C2212yes—
233#2407C2212yescomplemented
234#2407C2212yescomplemented
235#2397C2211yescharacteristic, complemented
236#2392C2212yescomplemented
237#2388C2211yescharacteristic
238#2388C2212yes—
239#2388C2212yescomplemented
240#2367C2214yescomplemented
241#2362C2212yescomplemented
242D4×C4⋊C4C2212yescomplemented
243D4×C4⋊C4C2212yescomplemented
244#2347C2212yescomplemented
245#2341C2212yescomplemented
246#2341C2211yescharacteristic, complemented
247Q8×C22⋊C4C2211yescharacteristic, complemented
248#2323C2212yescomplemented
249#2322C2212yescomplemented
250#2320C2211yescharacteristic, complemented
251#2311C2212yescomplemented
252#2311C2212yescomplemented
253C4×C22⋊Q8C2212yescomplemented
254C4×#121C2212yescomplemented
255C4×#120C2211yescharacteristic, complemented
256#2297C2212yescomplemented
257C2×#390C2212yescomplemented
258#2290C2212yescomplemented
259C2×H(5,𝔽2)—48no—
260C2×H(5,𝔽2)—44no—
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C22×#41C2312yes—
264C22×#41C2311yescharacteristic
265C22×#41C2312yes—
266C23×Q8C2311yescharacteristic
267C23×D4C2312yes—
268C23×D4C2311yescharacteristic
269C23×D4C2312yes—
270C23×D4C2314yes—
271C24×C4C2311yescharacteristic
272H(3,𝔽4)—48no—
273#556—48no—
274#554—44no—
275#548—48no—
276#548—44no—
277#538—416no—
278#537—48no—
279#535—48no—
280#532—48no—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2312yes—
284C2×#127C2314yes—
285C2×#127C2312yes—
286C2×#126C2314yes—
287C2×#126C2314yes—
288C2×#126C2314yes—
289C2×#126C2314yes—
290C2×#125C2312yes—
291C2×#124C2314yes—
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#124C2311yescharacteristic
296C2×#124C2314yes—
297C2×#124C2314yes—
298C2×#124C2314yes—
299C2×#124C2312yes—
300C2×#124C2314yes—
301C2×#124C2314yes—
302C2×#124C2312yes—
303C2×#124C2314yes—
304C2×#124C2312yes—
305#525—48no—
306C2×#123C2312yes—
307C2×#123C2312yes—
308C2×#123C2312yes—
309C2×#123C2314yes—
310C2×#123C2312yes—
311C2×#123C2312yes—
312C2×#123C2314yes—
313C2×C22⋊Q8—44no—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#120C2311yescharacteristic
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2312yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2312yes—
361C2×#120C2312yes—
362C2×#120C2312yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2311yescharacteristic
390C22×C22⋊C4C2314yes—
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2314yes—
393C22×C42C2312yes—
394#400C2314yes—
395#399C2311yescharacteristic
396#399C2312yes—
397#399C2312yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2311yescharacteristic
406#399C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2314yes—
414#397C2314yes—
415#397C2312yes—
416#397C2312yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2311yescharacteristic
455#395C2312yes—
456#395C2314yes—
457#395C2312yes—
458#395C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
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#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2311yescharacteristic
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2311yescharacteristic
514#393C2312yes—
515#392C2312yes—
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2311yescharacteristic
526#392C2311yescharacteristic
527#392C2312yes—
528#392C2314yes—
529#392C2312yes—
530#392C2312yes—
531#392C2312yes—
532#392C2312yes—
533#392C2312yes—
534#392C2311yescharacteristic
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#391C2314yes—
540#391C2314yes—
541#391C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2314yes—
545#391C2314yes—
546#391C2312yes—
547#391C2314yes—
548#391C2312yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
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#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2311yescharacteristic
640#386C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2314yes—
655#386C2312yes—
656#385C2311yescharacteristic
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#384C2312yes—
672#384C2312yes—
673#383C2314yes—
674#383C2312yes—
675#382C2312yes—
676#381C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2311yescharacteristic
686#380C2312yes—
687#380C2312yes—
688#380C2314yes—
689#380C2312yes—
690#380C2311yescharacteristic
691#380C2314yes—
692#380C2312yes—
693#380C2312yes—
694#380C2314yes—
695#380C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2314yes—
701#379C2314yes—
702#379C2314yes—
703#379C2314yes—
704#379C2312yes—
705#379C2311yescharacteristic
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2311yescharacteristic
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2311yescharacteristic
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2311yescharacteristic
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724#376C2311yescharacteristic
725C25C2411yescharacteristic
726C25C2414yes—
727C25C2412yes—
728H(5,𝔽2)—464no—
729C2×#41—28no—
730C2×#41—24no—
731C2×#41—28no—
732C2×#41—28no—
733C2×#41—28no—
734C2×#41—42no—
735C2×#41—44no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—44no—
739C2×#41—44no—
740C2×#41—48no—
741C22×Q8—24no—
742C22×Q8—44no—
743C22×Q8C2411yescharacteristic
744C22×Q8C2411yescharacteristic
745C22×Q8C2411yescharacteristic
746C22×Q8C2414yes—
747C22×Q8C2412yes—
748C22×Q8C2412yes—
749C22×Q8C2412yes—
750C22×D4—28no—
751C22×D4—44no—
752C22×D4—44no—
753C22×D4—44no—
754C22×D4—42no—
755C22×D4—44no—
756C22×D4—48no—
757C22×D4—48no—
758C22×D4—48no—
759C22×D4—48no—
760C22×D4C2411yescharacteristic
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2414yes—
769C22×D4C2411yescharacteristic
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2412yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2414yes—
778C22×D4C2411yescharacteristic
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2412yes—
788C23×C4—42no—
789C23×C4—44no—
790C23×C4C2412yes—
791C23×C4C2411yescharacteristic
792C23×C4C2412yes—
793C23×C4C2411yescharacteristic
794C23×C4C2414yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2412yes—
799C23×C4C2412yes—
800C23×C4C2414yes—
801C23×C4C2412yes—
802C23×C4C2411yescharacteristic
803C23×C4C2414yes—
804C23×C4C2412yes—
805C4⋊Q8—42no—
806C4⋊Q8—44no—
807C4⋊Q8—44no—
808#127—48no—
809#127—44no—
810#126—48no—
811#126—48no—
812#126—48no—
813#126—48no—
814#125—44no—
815#124—216no—
816#124—48no—
817#124—48no—
818#124—44no—
819#124—44no—
820#124—42no—
821#124—48no—
822#124—44no—
823#124—48no—
824#124—48no—
825#124—44no—
826#124—44no—
827#124—48no—
828#124—48no—
829#123—28no—
830#123—48no—
831#123—44no—
832#123—44no—
833#123—82no—
834#123—84no—
835#123—82no—
836C22⋊Q8—28no—
837C22⋊Q8—28no—
838C22⋊Q8—28no—
839C22⋊Q8—48no—
840C22⋊Q8—48no—
841C22⋊Q8—44no—
842C22⋊Q8—44no—
843C22⋊Q8—48no—
844C22⋊Q8—48no—
845C22⋊Q8—44no—
846C22⋊Q8—48no—
847C22⋊Q8—42no—
848C22⋊Q8—44no—
849C22⋊Q8—44no—
850C22⋊Q8—84no—
851#121—28no—
852#121—48no—
853#121—44no—
854#121—44no—
855#121—48no—
856#121—48no—
857#121—44no—
858#121—44no—
859#121—44no—
860#121—44no—
861#121—48no—
862#121—48no—
863#121—44no—
864#121—44no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—44no—
869#121—42no—
870#121—44no—
871#121—44no—
872#121—48no—
873#121—84no—
874#120—24no—
875#120—44no—
876#120—48no—
877#120—48no—
878#120—48no—
879#120—48no—
880#120—48no—
881#120—44no—
882#120—48no—
883#120—44no—
884#120—84no—
885#120—84no—
886#120—82no—
887C4×Q8—24no—
888C4×Q8—48no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—44no—
895C4×D4—48no—
896C4×D4—44no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—42no—
902C4×D4—42no—
903C4×D4—48no—
904C4×D4—48no—
905#117—28no—
906#117—44no—
907#117—44no—
908C2×C4⋊C4—42no—
909C2×C4⋊C4—44no—
910C2×C4⋊C4—44no—
911C2×C4⋊C4—44no—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C22⋊C4—44no—
956C2×C22⋊C4—48no—
957C2×C22⋊C4—84no—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C42—44no—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2412yes—
1054#95C2412yes—
1055#95C2411yescharacteristic
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2411yescharacteristic
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092C24—28no—
1093C24—22no—
1094C24—41no—
1095C24—42no—
1096C24—44no—
1097C24—44no—
1098C24—42no—
1099C24—44no—
1100C24—42no—
1101C24—41no—
1102C24—44no—
1103C24—44no—
1104C24—44no—
1105C24—44no—
1106C24—42no—
1107C24—42no—
1108C24—44no—
1109C24C2512yes—
1110C24C2514yes—
1111C24C2511yescharacteristic
1112C24C2512yes—
1113C24C2512yes—
1114C24C2512yes—
1115C24C2511yescharacteristic
1116#41—416no—
1117#41—432no—
1118#41—416no—
1119#41—432no—
1120#41—816no—
1121C2×Q8—24no—
1122C2×Q8—24no—
1123C2×Q8—22no—
1124C2×Q8—24no—
1125C2×Q8—24no—
1126C2×Q8—24no—
1127C2×Q8—28no—
1128C2×Q8—41no—
1129C2×Q8—44no—
1130C2×Q8—42no—
1131C2×Q8—44no—
1132C2×Q8—42no—
1133C2×Q8—44no—
1134C2×Q8—42no—
1135C2×Q8—42no—
1136C2×Q8—42no—
1137C2×Q8—88no—
1138C2×Q8H(5,𝔽2)14yes—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—28no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—28no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—28no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—22no—
1161C2×D4—28no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—41no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—42no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—41no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—432no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—41no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—41no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—42no—
1200C2×D4—42no—
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—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—464no—
1220C2×D4—432no—
1221C2×D4—416no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—28no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—28no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—44no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—88no—
1262C22×C4H(5,𝔽2)18yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2514yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—41no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—41no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—28no—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—24no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—41no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—41no—
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—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—41no—
1404C22⋊C4—42no—
1405C22⋊C4H(5,𝔽2)14yescomplemented
1406C42—24no—
1407C42—24no—
1408C42—28no—
1409C42—24no—
1410C42—24no—
1411C42—22no—
1412C42—28no—
1413C42—42no—
1414C42—42no—
1415C42—44no—
1416C42—44no—
1417C42—44no—
1418C42—44no—
1419C42—42no—
1420C23—22no—
1421C23—22no—
1422C23—21no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—21no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—24no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—21no—
1439C23—22no—
1440C23—21no—
1441C23—24no—
1442C23—22no—
1443C23—22no—
1444C23—24no—
1445C23—22no—
1446C23—24no—
1447C23—24no—
1448C23—21no—
1449C23—22no—
1450C23—24no—
1451C23—22no—
1452C23—22no—
1453C23—24no—
1454C23—22no—
1455C23—22no—
1456C23—24no—
1457C23—24no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—416no—
1462C23—44no—
1463C23—48no—
1464C23—84no—
1465C23—82no—
1466C23—88no—
1467C23—88no—
1468C23—82no—
1469C23—84no—
1470C23—164no—
1471C23—164no—
1472C23—164no—
1473C23—164no—
1474C23—162no—
1475C23—164no—
1476C23—164no—
1477C23—162no—
1478C23C2×H(5,𝔽2)14yes—
1479C23C2×H(5,𝔽2)12yes—
1480C23C2611yescharacteristic
1481Q8—28no—
1482Q8—44no—
1483Q8—44no—
1484Q8—88no—
1485Q8—84no—
1486Q8—84no—
1487Q8—162no—
1488D4—48no—
1489D4—48no—
1490D4—416no—
1491D4—416no—
1492D4—48no—
1493D4—48no—
1494D4—44no—
1495D4—44no—
1496D4—48no—
1497D4—44no—
1498D4—48no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—84no—
1503D4—88no—
1504D4—84no—
1505D4—82no—
1506D4—84no—
1507D4—84no—
1508D4—84no—
1509D4—84no—
1510D4—164no—
1511D4—164no—
1512D4—164no—
1513D4—164no—
1514D4—164no—
1515D4—164no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—216no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—416no—
1573C2×C4—48no—
1574C2×C4—44no—
1575C2×C4—48no—
1576C2×C4—44no—
1577C2×C4—48no—
1578C2×C4—84no—
1579C2×C4—84no—
1580C2×C4—84no—
1581C2×C4—84no—
1582C2×C4—82no—
1583C2×C4—84no—
1584C2×C4—164no—
1585C2×C4—164no—
1586C2×C4C2×H(5,𝔽2)14yes—
1587C2×C4C2×H(5,𝔽2)14yes—
1588C2×C4C2×H(5,𝔽2)14yes—
1589C2×C4C2×H(5,𝔽2)14yes—
1590C2×C4C2×H(5,𝔽2)12yes—
1591C22—24no—
1592C22—24no—
1593C22—24no—
1594C22—22no—
1595C22—24no—
1596C22—41no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—41no—
1603C22—42no—
1604C22—42no—
1605C22—41no—
1606C22—42no—
1607C22—44no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—44no—
1614C22—44no—
1615C22—44no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—44no—
1621C22—42no—
1622C22—44no—
1623C22—44no—
1624C22—42no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—44no—
1629C22—42no—
1630C22—44no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22—88no—
1635C22—1616no—
1636C22—168no—
1637C22C22×H(5,𝔽2)11yescharacteristic
1638C22C22×H(5,𝔽2)12yes—
1639C22C22×H(5,𝔽2)11yescharacteristic
1640C22H(7,𝔽2)11yescharacteristic
1641C222−1+612yes—
1642C4—24no—
1643C4—24no—
1644C4—24no—
1645C4—41no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—44no—
1650C4—42no—
1651C4—42no—
1652C4—44no—
1653C4—44no—
1654C4—44no—
1655C4—42no—
1656C4—44no—
1657C4—41no—
1658C4—41no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—42no—
1663C4#353214yes—
1664C2—42no—
1665C2—44no—
1666C2—82no—
1667C2—82no—
1668C2—81no—
1669C2—82no—
1670C2—84no—
1671C2C2×#353211yescharacteristic
1672C2#6287812yes—
1673C2#6291412yes—
1674C2#6291611yescharacteristic
1675C2#6304811yescharacteristic
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. #59755C2semidirect
2. #58021C2semidirect
3. #57179C2semidirect
4. #56377C2semidirect
5. #55325C2semidirect
6. #55014C2semidirect
7. #54174C2semidirect
8. #53103C2semidirect
9. #52981C2semidirect
10. #52405C2semidirect
11. #52096C2semidirect
12. #50655C2semidirect
13. #46836C2semidirect
14. #45479C2semidirect
15. #45330C2semidirect
16. #44915C2semidirect
17. #42987C2semidirect
18. #42894C2semidirect
19. #42810C2semidirect
20. #41174C2semidirect
21. #39468C2semidirect
22. #39375C2semidirect
23. #39133C2semidirect
24. #38117C2semidirect
25. #37649C2semidirect
26. #37492C2semidirect
27. #37269C2semidirect
28. #36082C2semidirect
29. #35513C2semidirect
30. C22×H(5,𝔽2)C22semidirect
31. C2×H(3,𝔽4)C22semidirect
32. C2×#556C22semidirect
33. C2×#554C22semidirect
36. C2×#538C22semidirect
40. C2×#525C22semidirect
41. C22×C22⋊Q8C22semidirect
42. #2857C22semidirect
43. #2847C22semidirect
44. #2847C22semidirect
45. #2842C22semidirect
46. #2837C22semidirect
47. #2830C22semidirect
48. #2829C22semidirect
49. #2829C22semidirect
50. #2829C22semidirect
51. #2829C22semidirect
52. #2820C22semidirect
53. #2818C22semidirect
54. #2815C22semidirect
55. #2813C22semidirect
56. #2812C22semidirect
57. #2812C22semidirect
58. #2800C22semidirect
59. #2786C22semidirect
60. #2786C22semidirect
61. #2764C22semidirect
62. #2757C22semidirect
63. #2756C22semidirect
64. #2752C22semidirect
65. #2735C22semidirect
66. #2733C22semidirect
67. #2732C22semidirect
68. #2730C22semidirect
69. #2730C22semidirect
70. #2730C22semidirect
71. #2730C22semidirect
72. #2728C22semidirect
73. #2727C22semidirect
74. #2723C22semidirect
75. #2715C22semidirect
76. #2715C22semidirect
77. #2715C22semidirect
78. #2712C22semidirect
79. #2712C22semidirect
80. #2712C22semidirect
81. #2711C22semidirect
82. #2710C22semidirect
83. #2710C22semidirect
84. #2709C22semidirect
85. #2705C22semidirect
86. #2697C22semidirect
87. #2697C22semidirect
88. #2692C22semidirect
89. #2692C22semidirect
90. #2691C22semidirect
91. #2691C22semidirect
92. #2691C22semidirect
93. #2685C22semidirect
94. #2685C22semidirect
95. #2685C22semidirect
96. #2684C22semidirect
97. #2684C22semidirect
98. #2683C22semidirect
99. #2682C22semidirect
100. #2681C22semidirect
101. #2681C22semidirect
102. #2679C22semidirect
103. #2678C22semidirect
104. #2678C22semidirect
105. #2677C22semidirect
106. #2676C22semidirect
107. #2676C22semidirect
108. #2676C22semidirect
109. #2675C22semidirect
110. #2674C22semidirect
111. #2673C22semidirect
112. #2672C22semidirect
113. #2672C22semidirect
114. #2672C22semidirect
115. #2671C22semidirect
116. #2670C22semidirect
117. #2670C22semidirect
118. #2670C22semidirect
119. #2669C22semidirect
120. #2669C22semidirect
121. #2668C22semidirect
122. #2668C22semidirect
123. #2668C22semidirect
124. #2662C22semidirect
125. #2662C22semidirect
126. #2662C22semidirect
127. #2651C22semidirect
128. #2648C22semidirect
129. #2644C22semidirect
130. #2640C22semidirect
131. #2633C22semidirect
132. #2632C22semidirect
133. #2631C22semidirect
134. #2626C22semidirect
135. #2626C22semidirect
136. #2624C22semidirect
137. #2624C22semidirect
138. #2622C22semidirect
139. #2620C22semidirect
140. #2618C22semidirect
141. #2616C22semidirect
142. #2616C22semidirect
143. #2616C22semidirect
144. #2600C22semidirect
145. #2589C22semidirect
146. #2586C22semidirect
147. #2560C22semidirect
148. #2556C22semidirect
149. #2555C22semidirect
150. #2548C22semidirect
151. #2547C22semidirect
152. #2547C22semidirect
153. #2544C22semidirect
154. #2540C22semidirect
155. #2540C22semidirect
156. #2540C22semidirect
157. #2539C22semidirect
158. #2538C22semidirect
159. #2538C22semidirect
160. #2535C22semidirect
161. #2534C22semidirect
162. #2523C22semidirect
163. #2522C22semidirect
164. #2521C22semidirect
165. #2521C22semidirect
166. #2518C22semidirect
167. #2512C22semidirect
168. #2512C22semidirect
169. #2501C22semidirect
170. #2501C22semidirect
171. #2497C22semidirect
172. #2491C22semidirect
173. #2491C22semidirect
174. #2491C22semidirect
175. #2491C22semidirect
176. #2486C22semidirect
177. #2485C22semidirect
178. #2485C22semidirect
179. #2485C22semidirect
180. #2480C22semidirect
181. #2472C22semidirect
182. #2467C22semidirect
183. #2465C22semidirect
184. #2464C22semidirect
185. #2461C22semidirect
186. #2456C22semidirect
187. #2451C22semidirect
188. #2451C22semidirect
189. #2449C22semidirect
190. #2448C22semidirect
191. #2440C22semidirect
192. #2435C22semidirect
193. #2435C22semidirect
194. #2435C22semidirect
195. #2435C22semidirect
196. #2435C22semidirect
198. #2432C22semidirect
200. #2427C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
203. #2426C22semidirect
204. #2424C22semidirect
205. #2424C22semidirect
206. #2423C22semidirect
207. #2418C22semidirect
208. #2418C22semidirect
209. #2417C22semidirect
210. #2417C22semidirect
211. #2416C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
220. #2410C22semidirect
221. #2410C22semidirect
222. #2409C22semidirect
229. #2408C22semidirect
230. #2408C22semidirect
233. #2407C22semidirect
234. #2407C22semidirect
235. #2397C22semidirect
236. #2392C22semidirect
239. #2388C22semidirect
240. #2367C22semidirect
241. #2362C22semidirect
242. D4×C4⋊C4C22semidirect
243. D4×C4⋊C4C22semidirect
244. #2347C22semidirect
245. #2341C22semidirect
246. #2341C22semidirect
247. Q8×C22⋊C4C22semidirect
248. #2323C22semidirect
249. #2322C22semidirect
250. #2320C22semidirect
251. #2311C22semidirect
252. #2311C22semidirect
253. C4×C22⋊Q8C22semidirect
254. C4×#121C22semidirect
255. C4×#120C22semidirect
256. #2297C22semidirect
257. C2×#390C22semidirect
258. #2290C22semidirect
1405. C22⋊C4H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
#597552
#580212
#571792
#563772
#553252
#550142
#541742
#531032
#529812
#524052
#520962
#506552
#468362
#454792
#453302
#449152
#429872
#428942
#428102
#411742
#394682
#393752
#391332
#381172
#376492
#374922
#372692
#360822
#355132