Finite Group Databasebeta

← #8657009

Subgroups — #8657009

Order 512.

6382 conjugacy classes of subgroups.

The subgroup lattice has 1733 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59026C212yesmaximal, complemented
2#57209C214yesmaximal, complemented
3#56660C212yesmaximal, complemented
4#55731C214yesmaximal, complemented
5#53103C211yesmaximal, characteristic, complemented
6#50015C214yesmaximal, complemented
7#48493C214yesmaximal, complemented
8#47929C214yesmaximal, complemented
9#47162C214yesmaximal, complemented
10#47004C212yesmaximal, complemented
11#45655C212yesmaximal, complemented
12#45479C211yesmaximal, characteristic, complemented
13#45330C211yesmaximal, characteristic, complemented
14#44929C212yesmaximal, complemented
15#43175C212yesmaximal, complemented
16#42677C211yesmaximal, characteristic, complemented
17#42503C212yesmaximal, complemented
18#40584C212yesmaximal, complemented
19#40068C212yesmaximal, complemented
20#39886C212yesmaximal, complemented
21#39466C211yesmaximal, characteristic, complemented
22#39042C212yesmaximal, complemented
23#37845C212yesmaximal, complemented
24#37346C212yesmaximal, complemented
25D4×#121C212yesmaximal, complemented
26#35680C211yesmaximal, characteristic, complemented
27#35512C212yesmaximal, complemented
28#35031C212yesmaximal, complemented
29#34655C211yesmaximal, characteristic, complemented
30C22×H(5,𝔽2)C2211yescharacteristic, complemented
31C2×H(3,𝔽4)C2212yescomplemented
32C2×#555C2212yescomplemented
33C2×#555C2211yescharacteristic, complemented
34C2×#546C2211yescharacteristic, complemented
35C2×D42C2214yescomplemented
36C2×D42C2212yescomplemented
37C2×#525C2212yescomplemented
38C2×#525C2212yescomplemented
39C22×#121C2211yescharacteristic, complemented
40C22×#121C2212yescomplemented
41C22×C4×D4C2212yescomplemented
42#2856C2212yescomplemented
43#2855C2212yescomplemented
44#2854C2212yescomplemented
45#2848C2211yescharacteristic, complemented
46#2847C2212yescomplemented
47#2847C2212yescomplemented
48#2829C2214yescomplemented
49#2828C2214yescomplemented
50#2824C2214yescomplemented
51#2815C2212yescomplemented
52#2815C2212yescomplemented
53#2812C2212yescomplemented
54#2812C2212yescomplemented
55#2803C2214yescomplemented
56#2797C2214yescomplemented
57#2788C2214yescomplemented
58#2786C2214yescomplemented
59#2784C2214yescomplemented
60#2779C2214yescomplemented
61#2779C2214yescomplemented
62#2764C2212yescomplemented
63#2757C2214yescomplemented
64#2752C2212yescomplemented
65#2751C2214yescomplemented
66#2750C2214yescomplemented
67#2750C2214yescomplemented
68#2749C2214yescomplemented
69#2737C2214yescomplemented
70#2735C2214yescomplemented
71#2735C2212yescomplemented
72#2728C2212yescomplemented
73#2712C2214yescomplemented
74#2712C2212yescomplemented
75#2710C2214yescomplemented
76#2710C2214yescomplemented
77#2708C2214yescomplemented
78#2708C2214yescomplemented
79#2703C2214yescomplemented
80#2703C2214yescomplemented
81#2700C2214yescomplemented
82#2699C2214yescomplemented
83#2696C2214yescomplemented
84#2688C2214yescomplemented
85#2688C2214yescomplemented
86#2688C2214yescomplemented
87#2686C2214yescomplemented
88#2686C2214yescomplemented
89#2686C2214yescomplemented
90#2684C2214yescomplemented
91#2684C2212yescomplemented
92#2684C2214yescomplemented
93#2684C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2676C2214yescomplemented
99#2676C2214yescomplemented
100#2676C2214yescomplemented
101#2673C2214yescomplemented
102#2670C2214yescomplemented
103#2670C2214yescomplemented
104#2670C2214yescomplemented
105#2670C2214yescomplemented
106#2669C2214yescomplemented
107#2669C2214yescomplemented
108#2668C2214yescomplemented
109#2649C2214yescomplemented
110#2648C2214yescomplemented
111#2644C2212yescomplemented
112#2640C2211yescharacteristic, complemented
113#2635C2214yescomplemented
114#2631C2214yescomplemented
115#2628C2212yescomplemented
116#2624C2212yescomplemented
117#2622C2214yescomplemented
118#2617C2212yescomplemented
119#2615C2211yescharacteristic, complemented
120#2613C2212yescomplemented
121#2613C2214yescomplemented
122#2613C2212yescomplemented
123#2602C2214yescomplemented
124#2602C2214yescomplemented
125#2600C2212yescomplemented
126#2600C2214yescomplemented
127#2600C2214yescomplemented
128#2598C2214yescomplemented
129#2597C2214yescomplemented
130#2586C2212yescomplemented
131#2561C2214yescomplemented
132#2557C2214yescomplemented
133#2555C2214yescomplemented
134#2555C2214yescomplemented
135#2547C2211yescharacteristic, complemented
136#2547C2212yescomplemented
137#2544C2214yescomplemented
138#2541C2212yescomplemented
139#2540C2211yescharacteristic, complemented
140#2537C2212yescomplemented
141#2535C2212yescomplemented
142#2513C2212yescomplemented
143#2511C2212yescomplemented
144#2503C2211yescharacteristic, complemented
145#2500C2212yescomplemented
146#2497C2212yescomplemented
147#2492C2212yescomplemented
148#2491C2212yescomplemented
149#2491C2212yescomplemented
150#2491C2212yescomplemented
151#2486C2211yescharacteristic, complemented
152#2485C2212yescomplemented
153#2485C2212yescomplemented
154#2485C2212yescomplemented
155#2483C2212yescomplemented
156#2482C2212yescomplemented
157#2477C2214yescomplemented
158#2476C2214yescomplemented
159#2476C2214yescomplemented
160#2472C2214yescomplemented
161#2471C2214yescomplemented
162#2463C2211yescharacteristic, complemented
163#2461C2214yescomplemented
164#2461C2214yescomplemented
165#2459C2214yescomplemented
166#2459C2214yescomplemented
167#2456C2212yescomplemented
168#2455C2211yescharacteristic, complemented
169#2452C2212yescomplemented
170#2449C2212yescomplemented
171#2445C2212yescomplemented
172#2444C2214yescomplemented
173#2443C2212yescomplemented
174#2440C2212yescomplemented
175#2437C2211yescharacteristic, complemented
176#2435C2214yescomplemented
177#2435C2214yescomplemented
178#2433C2211yescharacteristic, complemented
179#2431C2212yescomplemented
180#2430C2212yescomplemented
181#2428C2214yescomplemented
182#2428C2212yescomplemented
183#2427C2212yescomplemented
184#2424C2214yescomplemented
185#2424C2212yescomplemented
186#2424C2214yescomplemented
187#2420C2212yescomplemented
188#2418C2212yescomplemented
189#2418C2214yescomplemented
190#2416C2212yescomplemented
191#2416C2214yescomplemented
192#2416C2212yescomplemented
193#2415C2212yescomplemented
194#2415C2212yescomplemented
195#2414C2212yescomplemented
196#2414C2212yescomplemented
197#2414C2212yescomplemented
198#2414C2212yescomplemented
199#2412C2212yescomplemented
200#2411C2214yescomplemented
201#2410C2212yescomplemented
202#2410C2214yescomplemented
203#2410C2214yescomplemented
204#2410C2214yescomplemented
205#2410C2214yescomplemented
206#2410C2214yescomplemented
207#2408C2212yes—
208#2408C2214yescomplemented
209#2408C2212yescomplemented
210#2408C2212yescomplemented
211#2408C2214yescomplemented
212#2408C2211yescharacteristic, complemented
213#2408C2212yescomplemented
214#2408C2212yescomplemented
215#2407C2212yescomplemented
216#2407C2212yescomplemented
217#2407C2212yescomplemented
218#2407C2214yescomplemented
219#2407C2214yescomplemented
220#2407C2212yescomplemented
221#2407C2212yescomplemented
222#2405C2214yescomplemented
223#2405C2214yescomplemented
224#2404C2212yescomplemented
225#2403C2214yescomplemented
226#2403C2214yescomplemented
227#2403C2211yescharacteristic, complemented
228#2403C2214yescomplemented
229#2397C2211yescharacteristic, complemented
230#2392C2212yescomplemented
231#2388C2211yescharacteristic
232C2×#392C2212yes—
233#2375C2214yescomplemented
234#2363C2212yescomplemented
235#2352C2212yescomplemented
236D4×C4⋊C4C2212yescomplemented
237#2347C2212yescomplemented
238#2342C2214yescomplemented
239#2339C2211yescharacteristic, complemented
240D4×C22⋊C4C2211yescharacteristic, complemented
241D4×C22⋊C4C2214yescomplemented
242D4×C22⋊C4C2212yescomplemented
243#2329C2214yescomplemented
244#2324C2214yescomplemented
245#2324C2212yescomplemented
246#2322C2214yescomplemented
247#2321C2214yescomplemented
248#2319C2211yescharacteristic, complemented
249#2311C2212yescomplemented
250#2311C2212yescomplemented
251#2309C2212yescomplemented
252#2308C2212yescomplemented
253C4×#121C2212yescomplemented
254C4×#121C2212yescomplemented
255C4×#120C2211yescharacteristic, complemented
256C4×#120C2212yescomplemented
257#2290C2212yescomplemented
258#2280C2212yescomplemented
259C2×H(5,𝔽2)—44no—
260C2×H(5,𝔽2)—48no—
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2312yes—
265C23×D4C2312yes—
266C23×D4C2311yescharacteristic
267C23×D4C2312yes—
268C23×D4C2312yes—
269C23×D4C2312yes—
270C23×D4C2314yes—
271C23×D4C2311yescharacteristic
272C23×D4C2314yes—
273C23×D4C2314yes—
274C24×C4C2312yes—
275C24×C4C2311yescharacteristic
276H(3,𝔽4)—48no—
277#555—48no—
278#555—44no—
279#546—44no—
280D42—48no—
281D42—416no—
282C2×C4⋊Q8C2312yes—
283C2×C4⋊Q8C2311yescharacteristic
284C2×#127C2312yes—
285C2×#127C2314yes—
286C2×#124C2314yes—
287C2×#124C2311yescharacteristic
288C2×#124C2312yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×#124C2314yes—
292C2×#124C2314yes—
293C2×#124C2314yes—
294C2×#124C2314yes—
295#525—48no—
296#525—48no—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2312yes—
300C2×#123C2312yes—
301C2×#123C2312yes—
302C2×#123C2312yes—
303C2×#123C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2314yes—
311C2×#121—44no—
312C2×#121—48no—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2311yescharacteristic
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#120C2314yes—
341C2×#120C2311yescharacteristic
342C2×#120C2314yes—
343C2×#120C2314yes—
344C2×#120C2312yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2312yes—
349C2×#120C2312yes—
350C2×#120C2312yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2312yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×C4×D4—48no—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C22⋊C4C2314yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2314yes—
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2312yes—
394C22×C42C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#399C2312yes—
402#399C2312yes—
403#399C2311yescharacteristic
404#399C2314yes—
405#399C2311yescharacteristic
406#398C2312yes—
407#398C2312yes—
408#398C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2312yes—
423#397C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#396C2314yes—
431#396C2314yes—
432#396C2312yes—
433#396C2312yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#395C2311yescharacteristic
438#395C2314yes—
439#395C2314yes—
440#394C2312yes—
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#394C2314yes—
459#394C2311yescharacteristic
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2312yes—
484#393C2314yes—
485#393C2311yescharacteristic
486#393C2314yes—
487#393C2314yes—
488#392C2314yes—
489#392C2312yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2311yescharacteristic
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2312yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2311yescharacteristic
505#392C2312yes—
506#392C2314yes—
507#392C2312yes—
508#392C2312yes—
509#392C2314yes—
510#392C2312yes—
511#392C2312yes—
512#392C2314yes—
513#392C2312yes—
514#392C2311yescharacteristic
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2312yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2311yescharacteristic
643#386C2312yes—
644#386C2312yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2311yescharacteristic
665#384C2312yes—
666#383C2314yes—
667#382C2312yes—
668#381C2312yes—
669#381C2314yes—
670#381C2312yes—
671#381C2312yes—
672#381C2314yes—
673#381C2312yes—
674#381C2314yes—
675#381C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2314yes—
680#380C2314yes—
681#380C2312yes—
682#380C2312yes—
683#380C2314yes—
684#380C2314yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2311yescharacteristic
690#380C2312yes—
691#380C2312yes—
692#380C2311yescharacteristic
693#380C2312yes—
694#379C2314yes—
695#379C2314yes—
696#379C2311yescharacteristic
697#379C2312yes—
698#379C2314yes—
699#379C2314yes—
700#379C2312yes—
701#379C2314yes—
702#379C2314yes—
703#379C2314yes—
704#379C2314yes—
705#379C2314yes—
706#379C2312yes—
707#379C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2311yescharacteristic
718C4×C22⋊C4C2311yescharacteristic
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723#376C2311yescharacteristic
724C2×#95C2312yes—
725C25C2412yes—
726C25C2414yes—
727C25C2412yes—
728C25C2412yes—
729C25C2411yescharacteristic
730H(5,𝔽2)—464no—
731C2×#41—24no—
732C2×#41—28no—
733C2×#41—28no—
734C2×#41—42no—
735C2×#41—44no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—44no—
739C2×#41—48no—
740C22×Q8C2411yescharacteristic
741C22×Q8C2411yescharacteristic
742C22×Q8C2412yes—
743C22×Q8C2414yes—
744C22×D4—28no—
745C22×D4—28no—
746C22×D4—28no—
747C22×D4—24no—
748C22×D4—28no—
749C22×D4—44no—
750C22×D4—44no—
751C22×D4—48no—
752C22×D4—44no—
753C22×D4—42no—
754C22×D4—44no—
755C22×D4—48no—
756C22×D4—44no—
757C22×D4—44no—
758C22×D4—48no—
759C22×D4—48no—
760C22×D4—48no—
761C22×D4—44no—
762C22×D4—48no—
763C22×D4—48no—
764C22×D4—48no—
765C22×D4—48no—
766C22×D4—84no—
767C22×D4—82no—
768C22×D4C2412yes—
769C22×D4C2411yescharacteristic
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2411yescharacteristic
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2411yescharacteristic
778C22×D4C2412yes—
779C22×D4C2411yescharacteristic
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2412yes—
794C22×D4C2411yescharacteristic
795C22×D4C2412yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2414yes—
799C22×D4C2412yes—
800C23×C4—28no—
801C23×C4—44no—
802C23×C4—44no—
803C23×C4—42no—
804C23×C4—44no—
805C23×C4C2411yescharacteristic
806C23×C4C2412yes—
807C23×C4C2411yescharacteristic
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2412yes—
812C23×C4C2412yes—
813C23×C4C2412yes—
814C23×C4C2412yes—
815C23×C4C2414yes—
816C23×C4C2412yes—
817C23×C4C2412yes—
818C23×C4C2414yes—
819C23×C4C2411yescharacteristic
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2414yes—
823C23×C4C2414yes—
824C4⋊Q8—44no—
825C4⋊Q8—42no—
826#127—44no—
827#127—48no—
828#124—48no—
829#124—42no—
830#124—48no—
831#124—48no—
832#124—44no—
833#124—48no—
834#124—48no—
835#124—48no—
836#124—48no—
837#123—44no—
838#123—48no—
839#123—48no—
840#123—44no—
841#123—44no—
842#123—82no—
843#123—84no—
844C22⋊Q8—44no—
845C22⋊Q8—44no—
846C22⋊Q8—48no—
847C22⋊Q8—44no—
848C22⋊Q8—44no—
849C22⋊Q8—42no—
850C22⋊Q8—84no—
851#121—28no—
852#121—28no—
853#121—28no—
854#121—44no—
855#121—48no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—44no—
861#121—44no—
862#121—48no—
863#121—48no—
864#121—48no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—44no—
869#121—44no—
870#121—44no—
871#121—42no—
872#121—44no—
873#121—48no—
874#121—48no—
875#121—44no—
876#121—44no—
877#121—84no—
878#120—216no—
879#120—24no—
880#120—44no—
881#120—48no—
882#120—44no—
883#120—48no—
884#120—48no—
885#120—48no—
886#120—48no—
887#120—48no—
888#120—44no—
889#120—44no—
890#120—48no—
891#120—48no—
892#120—44no—
893#120—84no—
894#120—84no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—48no—
905C4×D4—48no—
906C4×D4—44no—
907C4×D4—42no—
908C4×D4—42no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—48no—
914C4×D4—48no—
915#117—28no—
916#117—44no—
917#117—48no—
918#117—44no—
919#117—44no—
920#117—44no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—42no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C22⋊C4—48no—
959C2×C22⋊C4—44no—
960C2×C22⋊C4—44no—
961C2×C22⋊C4—44no—
962C2×C22⋊C4—48no—
963C2×C22⋊C4—44no—
964C2×C22⋊C4—82no—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C42—44no—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058#95C2411yescharacteristic
1059#95C2412yes—
1060#95C2414yes—
1061#95C2411yescharacteristic
1062#95C2411yescharacteristic
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2411yescharacteristic
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101C24—24no—
1102C24—24no—
1103C24—24no—
1104C24—28no—
1105C24—24no—
1106C24—28no—
1107C24—42no—
1108C24—41no—
1109C24—42no—
1110C24—42no—
1111C24—42no—
1112C24—41no—
1113C24—42no—
1114C24—42no—
1115C24—44no—
1116C24—44no—
1117C24—42no—
1118C24—42no—
1119C24—42no—
1120C24—44no—
1121C24—44no—
1122C24—44no—
1123C24—44no—
1124C24—44no—
1125C24—44no—
1126C24—42no—
1127C24—44no—
1128C24—42no—
1129C24H(5,𝔽2)14yescomplemented
1130C24C2511yescharacteristic
1131C24C2514yes—
1132C24C2512yes—
1133C24C2512yes—
1134C24C2511yescharacteristic
1135C24C2512yes—
1136C24C2512yes—
1137C24C2512yes—
1138#41—416no—
1139#41—432no—
1140#41—416no—
1141#41—432no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—22no—
1145C2×Q8—41no—
1146C2×Q8—44no—
1147C2×Q8—42no—
1148C2×Q8—44no—
1149C2×Q8—42no—
1150C2×Q8—42no—
1151C2×Q8—44no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—28no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—28no—
1161C2×D4—28no—
1162C2×D4—24no—
1163C2×D4—28no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—22no—
1167C2×D4—24no—
1168C2×D4—28no—
1169C2×D4—28no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—28no—
1178C2×D4—24no—
1179C2×D4—22no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—28no—
1186C2×D4—432no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—41no—
1192C2×D4—42no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—44no—
1200C2×D4—41no—
1201C2×D4—42no—
1202C2×D4—44no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—41no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—42no—
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—42no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—41no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—432no—
1241C2×D4—464no—
1242C2×D4—432no—
1243C2×D4—416no—
1244C2×D4—88no—
1245C2×D4—832no—
1246C2×D4—816no—
1247C2×D4—832no—
1248C2×D4H(5,𝔽2)14yes—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
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—28no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—41no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—44no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—816no—
1301C22×C4—88no—
1302C22×C4H(5,𝔽2)18yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2512yes—
1310C22×C4C2514yes—
1311C22×C4C2512yes—
1312C22×C4C2514yes—
1313C22×C4C2512yes—
1314C22×C4C2514yes—
1315C22×C4C2512yes—
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—28no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—41no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—41no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—22no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—41no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—41no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—41no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C42—24no—
1439C42—24no—
1440C42—28no—
1441C42—24no—
1442C42—22no—
1443C42—42no—
1444C42—42no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—42no—
1449C42—44no—
1450C23—22no—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—24no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—24no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—24no—
1472C23—21no—
1473C23—22no—
1474C23—22no—
1475C23—24no—
1476C23—22no—
1477C23—24no—
1478C23—22no—
1479C23—24no—
1480C23—22no—
1481C23—22no—
1482C23—21no—
1483C23—24no—
1484C23—24no—
1485C23—22no—
1486C23—22no—
1487C23—24no—
1488C23—22no—
1489C23—24no—
1490C23—21no—
1491C23—24no—
1492C23—22no—
1493C23—22no—
1494C23—48no—
1495C23—44no—
1496C23—48no—
1497C23—416no—
1498C23—48no—
1499C23—48no—
1500C23—48no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23—88no—
1505C23—88no—
1506C23—88no—
1507C23—84no—
1508C23—84no—
1509C23—88no—
1510C23—88no—
1511C23—82no—
1512C23—82no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23—164no—
1517C23—164no—
1518C23—164no—
1519C23—162no—
1520C23—164no—
1521C23—162no—
1522C23—164no—
1523C23C2×H(5,𝔽2)12yes—
1524C23C2×H(5,𝔽2)14yes—
1525C23C2×H(5,𝔽2)14yes—
1526C23C2×H(5,𝔽2)14yes—
1527C23C2611yescharacteristic
1528Q8—44no—
1529Q8—44no—
1530Q8—164no—
1531Q8—162no—
1532D4—216no—
1533D4—28no—
1534D4—48no—
1535D4—48no—
1536D4—416no—
1537D4—48no—
1538D4—44no—
1539D4—416no—
1540D4—48no—
1541D4—416no—
1542D4—48no—
1543D4—48no—
1544D4—48no—
1545D4—44no—
1546D4—88no—
1547D4—88no—
1548D4—84no—
1549D4—82no—
1550D4—84no—
1551D4—88no—
1552D4—88no—
1553D4—88no—
1554D4—88no—
1555D4—88no—
1556D4—84no—
1557D4—82no—
1558D4—84no—
1559D4—88no—
1560D4—88no—
1561D4—162no—
1562D4—164no—
1563D4—164no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—216no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—21no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—21no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—48no—
1619C2×C4—416no—
1620C2×C4—48no—
1621C2×C4—48no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4—88no—
1628C2×C4—84no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—88no—
1632C2×C4—84no—
1633C2×C4—82no—
1634C2×C4—84no—
1635C2×C4—88no—
1636C2×C4C2×H(5,𝔽2)14yes—
1637C2×C4C2×H(5,𝔽2)14yes—
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4#58514yes—
1640C22—24no—
1641C22—24no—
1642C22—24no—
1643C22—24no—
1644C22—24no—
1645C22—22no—
1646C22—24no—
1647C22—24no—
1648C22—24no—
1649C22—24no—
1650C22—24no—
1651C22—42no—
1652C22—41no—
1653C22—42no—
1654C22—44no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—44no—
1662C22—42no—
1663C22—41no—
1664C22—42no—
1665C22—41no—
1666C22—42no—
1667C22—44no—
1668C22—42no—
1669C22—44no—
1670C22—44no—
1671C22—42no—
1672C22—44no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—44no—
1677C22—41no—
1678C22—44no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—44no—
1683C22—44no—
1684C22—42no—
1685C22—44no—
1686C22—41no—
1687C22—42no—
1688C22—88no—
1689C22—816no—
1690C22—168no—
1691C22—1616no—
1692C22—168no—
1693C22C22×H(5,𝔽2)11yescharacteristic
1694C22C22×H(5,𝔽2)11yescharacteristic
1695C22C22×H(5,𝔽2)12yes—
1696C22C2×#58512yes—
1697C22H(7,𝔽2)11yescharacteristic
1698C4—24no—
1699C4—24no—
1700C4—41no—
1701C4—42no—
1702C4—42no—
1703C4—44no—
1704C4—44no—
1705C4—42no—
1706C4—44no—
1707C4—44no—
1708C4—41no—
1709C4—42no—
1710C4—42no—
1711C4—44no—
1712C4—42no—
1713C4—41no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—41no—
1718C4#353214yes—
1719C2—44no—
1720C2—42no—
1721C2—44no—
1722C2—44no—
1723C2—82no—
1724C2—82no—
1725C2—81no—
1726C2—84no—
1727C2C2×#353211yescharacteristic
1728C2#6281812yes—
1729C2#6289211yescharacteristic
1730C2#6293012yes—
1731C2#6302111yescharacteristic
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. #59026C2semidirect
2. #57209C2semidirect
3. #56660C2semidirect
4. #55731C2semidirect
5. #53103C2semidirect
6. #50015C2semidirect
7. #48493C2semidirect
8. #47929C2semidirect
9. #47162C2semidirect
10. #47004C2semidirect
11. #45655C2semidirect
12. #45479C2semidirect
13. #45330C2semidirect
14. #44929C2semidirect
15. #43175C2semidirect
16. #42677C2semidirect
17. #42503C2semidirect
18. #40584C2semidirect
19. #40068C2semidirect
20. #39886C2semidirect
21. #39466C2semidirect
22. #39042C2semidirect
23. #37845C2semidirect
24. #37346C2semidirect
25. D4×#121C2semidirect
26. #35680C2semidirect
27. #35512C2semidirect
28. #35031C2semidirect
29. #34655C2semidirect
30. C22×H(5,𝔽2)C22semidirect
31. C2×H(3,𝔽4)C22semidirect
32. C2×#555C22semidirect
33. C2×#555C22semidirect
34. C2×#546C22semidirect
35. C2×D42C22semidirect
36. C2×D42C22semidirect
37. C2×#525C22semidirect
38. C2×#525C22semidirect
39. C22×#121C22semidirect
40. C22×#121C22semidirect
41. C22×C4×D4C22semidirect
42. #2856C22semidirect
43. #2855C22semidirect
44. #2854C22semidirect
45. #2848C22semidirect
46. #2847C22semidirect
47. #2847C22semidirect
48. #2829C22semidirect
49. #2828C22semidirect
50. #2824C22semidirect
51. #2815C22semidirect
52. #2815C22semidirect
53. #2812C22semidirect
54. #2812C22semidirect
55. #2803C22semidirect
56. #2797C22semidirect
57. #2788C22semidirect
58. #2786C22semidirect
59. #2784C22semidirect
60. #2779C22semidirect
61. #2779C22semidirect
62. #2764C22semidirect
63. #2757C22semidirect
64. #2752C22semidirect
65. #2751C22semidirect
66. #2750C22semidirect
67. #2750C22semidirect
68. #2749C22semidirect
69. #2737C22semidirect
70. #2735C22semidirect
71. #2735C22semidirect
72. #2728C22semidirect
73. #2712C22semidirect
74. #2712C22semidirect
75. #2710C22semidirect
76. #2710C22semidirect
77. #2708C22semidirect
78. #2708C22semidirect
79. #2703C22semidirect
80. #2703C22semidirect
81. #2700C22semidirect
82. #2699C22semidirect
83. #2696C22semidirect
84. #2688C22semidirect
85. #2688C22semidirect
86. #2688C22semidirect
87. #2686C22semidirect
88. #2686C22semidirect
89. #2686C22semidirect
90. #2684C22semidirect
91. #2684C22semidirect
92. #2684C22semidirect
93. #2684C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2676C22semidirect
99. #2676C22semidirect
100. #2676C22semidirect
101. #2673C22semidirect
102. #2670C22semidirect
103. #2670C22semidirect
104. #2670C22semidirect
105. #2670C22semidirect
106. #2669C22semidirect
107. #2669C22semidirect
108. #2668C22semidirect
109. #2649C22semidirect
110. #2648C22semidirect
111. #2644C22semidirect
112. #2640C22semidirect
113. #2635C22semidirect
114. #2631C22semidirect
115. #2628C22semidirect
116. #2624C22semidirect
117. #2622C22semidirect
118. #2617C22semidirect
119. #2615C22semidirect
120. #2613C22semidirect
121. #2613C22semidirect
122. #2613C22semidirect
123. #2602C22semidirect
124. #2602C22semidirect
125. #2600C22semidirect
126. #2600C22semidirect
127. #2600C22semidirect
128. #2598C22semidirect
129. #2597C22semidirect
130. #2586C22semidirect
131. #2561C22semidirect
132. #2557C22semidirect
133. #2555C22semidirect
134. #2555C22semidirect
135. #2547C22semidirect
136. #2547C22semidirect
137. #2544C22semidirect
138. #2541C22semidirect
139. #2540C22semidirect
140. #2537C22semidirect
141. #2535C22semidirect
142. #2513C22semidirect
143. #2511C22semidirect
144. #2503C22semidirect
145. #2500C22semidirect
146. #2497C22semidirect
147. #2492C22semidirect
148. #2491C22semidirect
149. #2491C22semidirect
150. #2491C22semidirect
151. #2486C22semidirect
152. #2485C22semidirect
153. #2485C22semidirect
154. #2485C22semidirect
155. #2483C22semidirect
156. #2482C22semidirect
157. #2477C22semidirect
158. #2476C22semidirect
159. #2476C22semidirect
160. #2472C22semidirect
161. #2471C22semidirect
162. #2463C22semidirect
163. #2461C22semidirect
164. #2461C22semidirect
165. #2459C22semidirect
166. #2459C22semidirect
167. #2456C22semidirect
168. #2455C22semidirect
169. #2452C22semidirect
170. #2449C22semidirect
171. #2445C22semidirect
172. #2444C22semidirect
173. #2443C22semidirect
174. #2440C22semidirect
175. #2437C22semidirect
176. #2435C22semidirect
177. #2435C22semidirect
178. #2433C22semidirect
179. #2431C22semidirect
180. #2430C22semidirect
181. #2428C22semidirect
182. #2428C22semidirect
183. #2427C22semidirect
184. #2424C22semidirect
185. #2424C22semidirect
186. #2424C22semidirect
187. #2420C22semidirect
188. #2418C22semidirect
189. #2418C22semidirect
190. #2416C22semidirect
191. #2416C22semidirect
192. #2416C22semidirect
193. #2415C22semidirect
194. #2415C22semidirect
195. #2414C22semidirect
196. #2414C22semidirect
197. #2414C22semidirect
198. #2414C22semidirect
199. #2412C22semidirect
200. #2411C22semidirect
201. #2410C22semidirect
202. #2410C22semidirect
203. #2410C22semidirect
204. #2410C22semidirect
205. #2410C22semidirect
206. #2410C22semidirect
208. #2408C22semidirect
209. #2408C22semidirect
210. #2408C22semidirect
211. #2408C22semidirect
212. #2408C22semidirect
213. #2408C22semidirect
214. #2408C22semidirect
215. #2407C22semidirect
216. #2407C22semidirect
217. #2407C22semidirect
218. #2407C22semidirect
219. #2407C22semidirect
220. #2407C22semidirect
221. #2407C22semidirect
222. #2405C22semidirect
223. #2405C22semidirect
224. #2404C22semidirect
225. #2403C22semidirect
226. #2403C22semidirect
227. #2403C22semidirect
228. #2403C22semidirect
229. #2397C22semidirect
230. #2392C22semidirect
233. #2375C22semidirect
234. #2363C22semidirect
235. #2352C22semidirect
236. D4×C4⋊C4C22semidirect
237. #2347C22semidirect
238. #2342C22semidirect
239. #2339C22semidirect
240. D4×C22⋊C4C22semidirect
241. D4×C22⋊C4C22semidirect
242. D4×C22⋊C4C22semidirect
243. #2329C22semidirect
244. #2324C22semidirect
245. #2324C22semidirect
246. #2322C22semidirect
247. #2321C22semidirect
248. #2319C22semidirect
249. #2311C22semidirect
250. #2311C22semidirect
251. #2309C22semidirect
252. #2308C22semidirect
253. C4×#121C22semidirect
254. C4×#121C22semidirect
255. C4×#120C22semidirect
256. C4×#120C22semidirect
257. #2290C22semidirect
258. #2280C22semidirect
1129. C24H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
#590262
#572092
#566602
#557312
#531032
#500152
#484932
#479292
#471622
#470042
#456552
#454792
#453302
#449292
#431752
#426772
#425032
#405842
#400682
#398862
#394662
#390422
#378452
#373462
D4×#1212
#356802
#355122
#350312
#346552