Finite Group Databasebeta

← #8157116

Subgroups — #8157116

Order 512.

5462 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59676C212yesmaximal, complemented
2#59131C212yesmaximal, complemented
3#58262C214yesmaximal, complemented
4#57633C214yesmaximal, complemented
5#56654C214yesmaximal, complemented
6#54757C214yesmaximal, complemented
7#53060C212yesmaximal, complemented
8#52964C212yesmaximal, complemented
9#52586C214yesmaximal, complemented
10#45365C212yesmaximal, complemented
11#45353C212yesmaximal, complemented
12#42572C212yesmaximal, complemented
13#42557C212yesmaximal, complemented
14#42518C212yesmaximal, complemented
15#42474C212yesmaximal, complemented
16#40762C214yesmaximal, complemented
17#39760C211yesmaximal, characteristic, complemented
18#39743C211yesmaximal, characteristic, complemented
19#38026C212yesmaximal, complemented
20#38025C212yesmaximal, complemented
21#37768C212yesmaximal, complemented
22#37692C212yesmaximal, complemented
23#37446C212yesmaximal, complemented
24#36730C212yesmaximal, complemented
25#36100C211yesmaximal, characteristic, complemented
26D4×#121C211yesmaximal, characteristic, complemented
27#35006C211yesmaximal, characteristic, complemented
28C2×#2447C211yesmaximal, characteristic, complemented
29#34594C211yesmaximal, characteristic, complemented
30C2×#548C2212yescomplemented
31C2×#547C2211yescharacteristic
32C2×#546C2212yes—
33C2×D42C2212yes—
34C2×D42C2211yescharacteristic
35C2×#539C2212yescomplemented
36C2×#529C2212yescomplemented
37C22×#124C2211yescharacteristic
38C2×#525C2212yescomplemented
39C22×#121C2212yes—
40C22×C4×D4C2211yescharacteristic
41#2857C2211yescharacteristic, complemented
42#2856C2211yescharacteristic
43#2854C2212yescomplemented
44#2848C2212yescomplemented
45#2847C2212yes—
46#2837C2214yescomplemented
47#2837C2214yescomplemented
48#2834C2214yescomplemented
49#2829C2214yescomplemented
50#2829C2214yescomplemented
51#2828C2214yescomplemented
52#2827C2214yescomplemented
53#2825C2214yescomplemented
54#2825C2214yescomplemented
55#2816C2214yescomplemented
56#2815C2214yescomplemented
57#2812C2214yescomplemented
58#2808C2212yescomplemented
59#2805C2212yescomplemented
60#2801C2214yescomplemented
61#2797C2214yescomplemented
62#2797C2214yescomplemented
63#2778C2214yescomplemented
64#2770C2214yescomplemented
65#2759C2214yescomplemented
66#2757C2214yescomplemented
67#2757C2214yescomplemented
68#2757C2214yescomplemented
69#2756C2214yescomplemented
70#2756C2214yescomplemented
71#2746C2214yescomplemented
72#2745C2214yescomplemented
73#2738C2214yescomplemented
74#2737C2214yescomplemented
75#2736C2214yescomplemented
76#2735C2214yescomplemented
77#2733C2212yescomplemented
78#2732C2212yescomplemented
79#2732C2214yescomplemented
80#2730C2214yescomplemented
81#2715C2214yescomplemented
82#2714C2214yescomplemented
83#2714C2214yescomplemented
84#2712C2214yescomplemented
85#2711C2214yescomplemented
86#2711C2214yescomplemented
87#2710C2214yescomplemented
88#2708C2214yescomplemented
89#2708C2214yescomplemented
90#2704C2214yescomplemented
91#2702C2214yescomplemented
92#2701C2214yescomplemented
93#2700C2214yescomplemented
94#2697C2214yescomplemented
95#2697C2214yescomplemented
96#2694C2214yescomplemented
97#2693C2214yescomplemented
98#2691C2214yescomplemented
99#2687C2214yescomplemented
100#2686C2214yescomplemented
101#2685C2214yescomplemented
102#2682C2214yescomplemented
103#2681C2214yescomplemented
104#2678C2214yescomplemented
105#2672C2214yescomplemented
106#2670C2214yescomplemented
107#2670C2214yescomplemented
108#2664C2212yescomplemented
109#2664C2212yescomplemented
110#2662C2212yescomplemented
111#2662C2212yescomplemented
112#2659C2211yescharacteristic, complemented
113#2656C2211yescharacteristic
114#2656C2212yescomplemented
115#2653C2214yescomplemented
116#2651C2214yescomplemented
117#2639C2212yes—
118#2639C2212yescomplemented
119#2639C2212yescomplemented
120#2635C2214yescomplemented
121#2635C2214yescomplemented
122#2631C2214yescomplemented
123#2625C2212yescomplemented
124#2624C2212yescomplemented
125#2623C2214yescomplemented
126#2622C2214yescomplemented
127#2620C2212yescomplemented
128#2619C2212yescomplemented
129#2618C2211yescharacteristic
130#2618C2212yescomplemented
131#2618C2211yescharacteristic, complemented
132#2618C2212yescomplemented
133#2613C2214yescomplemented
134#2602C2214yescomplemented
135#2597C2214yescomplemented
136#2592C2212yescomplemented
137#2587C2214yescomplemented
138#2582C2212yescomplemented
139#2580C2212yes—
140#2560C2214yescomplemented
141#2558C2214yescomplemented
142#2555C2214yescomplemented
143#2548C2212yescomplemented
144#2544C2212yescomplemented
145#2543C2214yescomplemented
146#2543C2214yescomplemented
147#2543C2214yescomplemented
148#2542C2211yescharacteristic, complemented
149#2541C2211yescharacteristic
150#2540C2212yescomplemented
151#2539C2214yescomplemented
152#2537C2211yescharacteristic
153#2537C2211yescharacteristic, complemented
154#2514C2212yescomplemented
155#2513C2212yescomplemented
156#2512C2212yescomplemented
157#2510C2214yescomplemented
158#2510C2214yescomplemented
159#2507C2212yescomplemented
160#2506C2212yescomplemented
161#2499C2212yescomplemented
162#2494C2212yescomplemented
163#2492C2212yescomplemented
164#2487C2212yescomplemented
165#2482C2214yescomplemented
166#2480C2214yescomplemented
167#2479C2214yescomplemented
168#2473C2214yescomplemented
169#2472C2214yescomplemented
170#2472C2214yescomplemented
171#2456C2214yescomplemented
172#2455C2214yescomplemented
173#2454C2214yescomplemented
174#2452C2212yescomplemented
175#2450C2214yescomplemented
176#2448C2212yescomplemented
177#2447C2212yes—
178#2447C2212yes—
179#2447C2212yescomplemented
180#2447C2214yescomplemented
181#2447C2212yescomplemented
182#2447C2214yescomplemented
183#2445C2212yescomplemented
184#2443C2214yescomplemented
185#2437C2214yescomplemented
186#2435C2212yes—
187#2431C2212yescomplemented
188#2431C2212yescomplemented
189#2428C2212yes—
190#2427C2212yes—
191#2426C2212yescomplemented
192#2425C2214yescomplemented
193#2425C2214yescomplemented
194#2424C2214yes—
195#2424C2214yescomplemented
196#2423C2212yescomplemented
197#2422C2212yes—
198#2422C2212yescomplemented
199#2418C2214yescomplemented
200#2418C2214yescomplemented
201#2418C2214yescomplemented
202#2417C2212yescomplemented
203#2416C2212yes—
204#2416C2212yes—
205#2416C2212yescomplemented
206#2415C2212yescomplemented
207#2415C2212yescomplemented
208#2414C2212yescomplemented
209#2414C2212yescomplemented
210#2410C2214yes—
211#2410C2214yescomplemented
212#2410C2214yescomplemented
213#2409C2212yescomplemented
214#2408C2212yes—
215#2408C2212yes—
216#2408C2212yes—
217#2407C2212yescomplemented
218#2407C2212yescomplemented
219#2407C2214yescomplemented
220#2407C2212yescomplemented
221#2405C2214yescomplemented
222#2405C2214yescomplemented
223#2404C2214yescomplemented
224#2396C2212yescomplemented
225#2396C2212yescomplemented
226#2392C2212yescomplemented
227#2392C2212yescomplemented
228C2×#397C2212yescomplemented
229C2×#397C2212yescomplemented
230#2367C2212yes—
231#2361C2212yescomplemented
232#2361C2212yescomplemented
233#2361C2214yescomplemented
234#2354C2211yescharacteristic
235#2352C2212yescomplemented
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2212yescomplemented
238#2347C2212yescomplemented
239D4×C22⋊C4C2212yes—
240D4×C22⋊C4C2214yescomplemented
241#2329C2212yescomplemented
242#2325C2212yescomplemented
243#2325C2212yescomplemented
244#2324C2212yes—
245#2323C2212yescomplemented
246#2311C2212yescomplemented
247#2309C2212yes—
248C4×#121C2211yescharacteristic
249C4×#121C2211yescharacteristic, complemented
250C4×#121C2212yescomplemented
251C4×#121C2212yescomplemented
252C2×#391C2211yescharacteristic, complemented
253C2×#391C2211yescharacteristic, complemented
254C2×#390C2211yescharacteristic
255C2×#389C2211yescharacteristic, complemented
256C2×#385C2212yescomplemented
257C2×#381C2212yescomplemented
258C2×C4×C4⋊C4C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C23×Q8C2311yescharacteristic
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C23×D4C2314yes—
265C23×D4C2312yes—
266C24×C4C2312yes—
267#548—48no—
268#547—44no—
269#546—48no—
270D42—48no—
271D42—44no—
272#539—48no—
273C2×C4⋊Q8C2311yescharacteristic
274C2×#127C2311yescharacteristic
275C2×#127C2312yes—
276#529—48no—
277C2×#126C2314yes—
278C2×#126C2312yes—
279C2×#126C2312yes—
280C2×#125C2312yes—
281C2×#125C2314yes—
282C2×#124—44no—
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×#124C2312yes—
286C2×#124C2314yes—
287C2×#124C2312yes—
288C2×#124C2314yes—
289C2×#124C2314yes—
290#525—48no—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2312yes—
294C2×#123C2312yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2312yes—
309C2×#121—48no—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2311yescharacteristic
314C2×#121C2311yescharacteristic
315C2×#121C2314yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2314yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2312yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×D4—44no—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2314yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C22⋊C4C2314yes—
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2314yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382#401C2314yes—
383#401C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#399C2312yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2312yes—
398#399C2314yes—
399#399C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2312yes—
409#398C2312yes—
410#398C2312yes—
411#398C2312yes—
412#398C2312yes—
413#398C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2312yes—
444#396C2312yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2312yes—
453#396C2312yes—
454#396C2312yes—
455#395C2312yes—
456#395C2312yes—
457#395C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2312yes—
487#394C2312yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2312yes—
499#393C2312yes—
500#393C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2312yes—
512#392C2314yes—
513#392C2314yes—
514#392C2312yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2314yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2312yes—
529#391C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
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#386C2312yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#384C2312yes—
665#384C2311yescharacteristic
666#384C2311yescharacteristic
667#383C2314yes—
668#383C2314yes—
669#382C2312yes—
670#381C2314yes—
671#381C2314yes—
672#381C2314yes—
673#381C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2312yes—
677#380C2312yes—
678#380C2311yescharacteristic
679#380C2312yes—
680#380C2311yescharacteristic
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2314yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2314yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C2×#95C2311yescharacteristic
717C2×#95C2312yes—
718C2×#95C2311yescharacteristic
719C2×#95C2312yes—
720C2×#95C2312yes—
721C2×#95C2312yes—
722C2×#95C2312yes—
723C25C2412yes—
724C25C2414yes—
725C2×#41—44no—
726C2×#41—44no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—82no—
731C22×Q8—24no—
732C22×Q8—42no—
733C22×Q8—42no—
734C22×Q8C2412yes—
735C22×Q8C2412yes—
736C22×Q8C2412yes—
737C22×Q8C2412yes—
738C22×D4—24no—
739C22×D4—28no—
740C22×D4—24no—
741C22×D4—42no—
742C22×D4—44no—
743C22×D4—44no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—48no—
747C22×D4—48no—
748C22×D4—48no—
749C22×D4—82no—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2411yescharacteristic
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2411yescharacteristic
757C22×D4C2411yescharacteristic
758C22×D4C2411yescharacteristic
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C23×C4—28no—
773C23×C4—44no—
774C23×C4—82no—
775C23×C4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2412yes—
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2412yes—
786C23×C4C2411yescharacteristic
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2411yescharacteristic
795C4⋊Q8—42no—
796#127—42no—
797#127—44no—
798#126—44no—
799#126—44no—
800#126—48no—
801#125—44no—
802#125—48no—
803#124—28no—
804#124—44no—
805#124—44no—
806#124—44no—
807#124—48no—
808#124—48no—
809#124—84no—
810#123—48no—
811#123—48no—
812#123—48no—
813#123—44no—
814#123—44no—
815#123—48no—
816#123—48no—
817#123—84no—
818C22⋊Q8—28no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821C22⋊Q8—48no—
822C22⋊Q8—48no—
823C22⋊Q8—44no—
824C22⋊Q8—44no—
825C22⋊Q8—44no—
826C22⋊Q8—44no—
827C22⋊Q8—82no—
828#121—28no—
829#121—24no—
830#121—28no—
831#121—24no—
832#121—28no—
833#121—48no—
834#121—48no—
835#121—48no—
836#121—44no—
837#121—44no—
838#121—44no—
839#121—44no—
840#121—44no—
841#121—44no—
842#121—44no—
843#121—48no—
844#121—48no—
845#121—44no—
846#121—44no—
847#121—44no—
848#121—44no—
849#121—48no—
850#121—82no—
851#120—48no—
852#120—48no—
853#120—48no—
854#120—48no—
855#120—48no—
856#120—84no—
857C4×Q8—44no—
858C4×Q8—44no—
859C4×D4—24no—
860C4×D4—24no—
861C4×D4—28no—
862C4×D4—28no—
863C4×D4—42no—
864C4×D4—42no—
865C4×D4—44no—
866C4×D4—44no—
867C4×D4—44no—
868C4×D4—42no—
869C4×D4—44no—
870C4×D4—42no—
871C4×D4—48no—
872C4×D4—44no—
873C4×D4—44no—
874C4×D4—48no—
875C4×D4—48no—
876C4×D4—48no—
877C4×D4—84no—
878#117—44no—
879#117—44no—
880#117—44no—
881#117—44no—
882C2×C4⋊C4—24no—
883C2×C4⋊C4—42no—
884C2×C4⋊C4—42no—
885C2×C4⋊C4—44no—
886C2×C4⋊C4—44no—
887C2×C4⋊C4—42no—
888C2×C4⋊C4—82no—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C22⋊C4—48no—
941C2×C22⋊C4—44no—
942C2×C22⋊C4—44no—
943C2×C22⋊C4—44no—
944C2×C22⋊C4—48no—
945C2×C22⋊C4—44no—
946C2×C22⋊C4—82no—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C42—24no—
1017C2×C42—42no—
1018C2×C42—42no—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080C24—24no—
1081C24—24no—
1082C24—24no—
1083C24—24no—
1084C24—28no—
1085C24—42no—
1086C24—42no—
1087C24—42no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24—44no—
1094C24C2512yes—
1095C24C2514yes—
1096C24C2512yes—
1097C24C2512yes—
1098C24C2512yes—
1099C24C2511yescharacteristic
1100#41—816no—
1101#41—816no—
1102C2×Q8—24no—
1103C2×Q8—24no—
1104C2×Q8—24no—
1105C2×Q8—24no—
1106C2×Q8—24no—
1107C2×Q8—42no—
1108C2×Q8—42no—
1109C2×Q8—42no—
1110C2×Q8—42no—
1111C2×Q8—42no—
1112C2×Q8—42no—
1113C2×Q8—42no—
1114C2×Q8—88no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—28no—
1124C2×D4—24no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—24no—
1134C2×D4—22no—
1135C2×D4—24no—
1136C2×D4—22no—
1137C2×D4—22no—
1138C2×D4—24no—
1139C2×D4—416no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—42no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—42no—
1146C2×D4—44no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—42no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—42no—
1176C2×D4—44no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—42no—
1180C2×D4—44no—
1181C2×D4—816no—
1182C2×D4—816no—
1183C2×D4—832no—
1184C2×D4H(5,𝔽2)14yes—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—41no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—42no—
1224C22×C4—41no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—44no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—816no—
1244C22×C4H(5,𝔽2)14yes—
1245C22×C4H(5,𝔽2)14yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2512yes—
1253C22×C4C2514yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—41no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—41no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C22⋊C4—28no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—28no—
1328C22⋊C4—24no—
1329C22⋊C4—28no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C42—24no—
1390C42—24no—
1391C42—22no—
1392C42—22no—
1393C42—24no—
1394C42—24no—
1395C42—24no—
1396C42—41no—
1397C42—41no—
1398C42—42no—
1399C42—44no—
1400C42—44no—
1401C42—44no—
1402C42—44no—
1403C42—44no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—24no—
1416C23—22no—
1417C23—22no—
1418C23—24no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—24no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—24no—
1430C23—22no—
1431C23—24no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—24no—
1436C23—22no—
1437C23—22no—
1438C23—24no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—48no—
1443C23—48no—
1444C23—48no—
1445C23—48no—
1446C23—84no—
1447C23—84no—
1448C23—84no—
1449C23—88no—
1450C23—88no—
1451C23—88no—
1452C23—88no—
1453C23—88no—
1454C23—164no—
1455C23—164no—
1456C23C2×H(5,𝔽2)14yes—
1457C23C2×H(5,𝔽2)12yes—
1458C23C2×H(5,𝔽2)12yes—
1459C23#58512yes—
1460C23C2611yescharacteristic
1461Q8—48no—
1462Q8—84no—
1463Q8—84no—
1464Q8—84no—
1465D4—28no—
1466D4—48no—
1467D4—44no—
1468D4—44no—
1469D4—48no—
1470D4—416no—
1471D4—48no—
1472D4—44no—
1473D4—48no—
1474D4—84no—
1475D4—88no—
1476D4—88no—
1477D4—84no—
1478D4—84no—
1479D4—88no—
1480D4—88no—
1481D4—88no—
1482D4—88no—
1483D4—88no—
1484D4—88no—
1485D4—164no—
1486D4—162no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—28no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—44no—
1552C2×C4—48no—
1553C2×C4—48no—
1554C2×C4—44no—
1555C2×C4—48no—
1556C2×C4—48no—
1557C2×C4—84no—
1558C2×C4—84no—
1559C2×C4—82no—
1560C2×C4—82no—
1561C2×C4—82no—
1562C2×C4—82no—
1563C2×C4—84no—
1564C2×C4—84no—
1565C2×C4—84no—
1566C2×C4—88no—
1567C2×C4—88no—
1568C2×C4—88no—
1569C2×C4—164no—
1570C2×C4C2×H(5,𝔽2)12yes—
1571C2×C4C2×H(5,𝔽2)12yes—
1572C2×C4C2×H(5,𝔽2)12yes—
1573C2×C4C2×H(5,𝔽2)12yes—
1574C2×C4C2×H(5,𝔽2)12yes—
1575C2×C4#58512yes—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—24no—
1583C22—24no—
1584C22—24no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—44no—
1592C22—42no—
1593C22—42no—
1594C22—44no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—44no—
1601C22—42no—
1602C22—42no—
1603C22—44no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—44no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—44no—
1612C22—42no—
1613C22—42no—
1614C22—44no—
1615C22—42no—
1616C22—42no—
1617C22—816no—
1618C22—1616no—
1619C22#354614yes—
1620C22C22×H(5,𝔽2)11yescharacteristic
1621C22C22×H(5,𝔽2)11yescharacteristic
1622C22C22×H(5,𝔽2)11yescharacteristic
1623C22C2×#58511yescharacteristic
1624C22C2×#58511yescharacteristic
1625C22H(7,𝔽2)11yescharacteristic
1626C222−1+611yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—42no—
1631C4—42no—
1632C4—44no—
1633C4—42no—
1634C4—42no—
1635C4—44no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—44no—
1644C4—41no—
1645C4—42no—
1646C4—41no—
1647C4—44no—
1648C4—44no—
1649C4#353414yes—
1650C2—24no—
1651C2—44no—
1652C2—82no—
1653C2—82no—
1654C2—84no—
1655C2—82no—
1656C2C2×#353411yescharacteristic
1657C2C2×#354611yescharacteristic
1658C2#6287811yescharacteristic
1659C2#6289211yescharacteristic
1660C2#6289811yescharacteristic
1661C2#6296011yescharacteristic
1662C2#6296511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59676C2semidirect
2. #59131C2semidirect
3. #58262C2semidirect
4. #57633C2semidirect
5. #56654C2semidirect
6. #54757C2semidirect
7. #53060C2semidirect
8. #52964C2semidirect
9. #52586C2semidirect
10. #45365C2semidirect
11. #45353C2semidirect
12. #42572C2semidirect
13. #42557C2semidirect
14. #42518C2semidirect
15. #42474C2semidirect
16. #40762C2semidirect
17. #39760C2semidirect
18. #39743C2semidirect
19. #38026C2semidirect
20. #38025C2semidirect
21. #37768C2semidirect
22. #37692C2semidirect
23. #37446C2semidirect
24. #36730C2semidirect
25. #36100C2semidirect
26. D4×#121C2semidirect
27. #35006C2semidirect
28. C2×#2447C2semidirect
29. #34594C2semidirect
30. C2×#548C22semidirect
35. C2×#539C22semidirect
36. C2×#529C22semidirect
38. C2×#525C22semidirect
41. #2857C22semidirect
43. #2854C22semidirect
44. #2848C22semidirect
46. #2837C22semidirect
47. #2837C22semidirect
48. #2834C22semidirect
49. #2829C22semidirect
50. #2829C22semidirect
51. #2828C22semidirect
52. #2827C22semidirect
53. #2825C22semidirect
54. #2825C22semidirect
55. #2816C22semidirect
56. #2815C22semidirect
57. #2812C22semidirect
58. #2808C22semidirect
59. #2805C22semidirect
60. #2801C22semidirect
61. #2797C22semidirect
62. #2797C22semidirect
63. #2778C22semidirect
64. #2770C22semidirect
65. #2759C22semidirect
66. #2757C22semidirect
67. #2757C22semidirect
68. #2757C22semidirect
69. #2756C22semidirect
70. #2756C22semidirect
71. #2746C22semidirect
72. #2745C22semidirect
73. #2738C22semidirect
74. #2737C22semidirect
75. #2736C22semidirect
76. #2735C22semidirect
77. #2733C22semidirect
78. #2732C22semidirect
79. #2732C22semidirect
80. #2730C22semidirect
81. #2715C22semidirect
82. #2714C22semidirect
83. #2714C22semidirect
84. #2712C22semidirect
85. #2711C22semidirect
86. #2711C22semidirect
87. #2710C22semidirect
88. #2708C22semidirect
89. #2708C22semidirect
90. #2704C22semidirect
91. #2702C22semidirect
92. #2701C22semidirect
93. #2700C22semidirect
94. #2697C22semidirect
95. #2697C22semidirect
96. #2694C22semidirect
97. #2693C22semidirect
98. #2691C22semidirect
99. #2687C22semidirect
100. #2686C22semidirect
101. #2685C22semidirect
102. #2682C22semidirect
103. #2681C22semidirect
104. #2678C22semidirect
105. #2672C22semidirect
106. #2670C22semidirect
107. #2670C22semidirect
108. #2664C22semidirect
109. #2664C22semidirect
110. #2662C22semidirect
111. #2662C22semidirect
112. #2659C22semidirect
114. #2656C22semidirect
115. #2653C22semidirect
116. #2651C22semidirect
118. #2639C22semidirect
119. #2639C22semidirect
120. #2635C22semidirect
121. #2635C22semidirect
122. #2631C22semidirect
123. #2625C22semidirect
124. #2624C22semidirect
125. #2623C22semidirect
126. #2622C22semidirect
127. #2620C22semidirect
128. #2619C22semidirect
130. #2618C22semidirect
131. #2618C22semidirect
132. #2618C22semidirect
133. #2613C22semidirect
134. #2602C22semidirect
135. #2597C22semidirect
136. #2592C22semidirect
137. #2587C22semidirect
138. #2582C22semidirect
140. #2560C22semidirect
141. #2558C22semidirect
142. #2555C22semidirect
143. #2548C22semidirect
144. #2544C22semidirect
145. #2543C22semidirect
146. #2543C22semidirect
147. #2543C22semidirect
148. #2542C22semidirect
150. #2540C22semidirect
151. #2539C22semidirect
153. #2537C22semidirect
154. #2514C22semidirect
155. #2513C22semidirect
156. #2512C22semidirect
157. #2510C22semidirect
158. #2510C22semidirect
159. #2507C22semidirect
160. #2506C22semidirect
161. #2499C22semidirect
162. #2494C22semidirect
163. #2492C22semidirect
164. #2487C22semidirect
165. #2482C22semidirect
166. #2480C22semidirect
167. #2479C22semidirect
168. #2473C22semidirect
169. #2472C22semidirect
170. #2472C22semidirect
171. #2456C22semidirect
172. #2455C22semidirect
173. #2454C22semidirect
174. #2452C22semidirect
175. #2450C22semidirect
176. #2448C22semidirect
179. #2447C22semidirect
180. #2447C22semidirect
181. #2447C22semidirect
182. #2447C22semidirect
183. #2445C22semidirect
184. #2443C22semidirect
185. #2437C22semidirect
187. #2431C22semidirect
188. #2431C22semidirect
191. #2426C22semidirect
192. #2425C22semidirect
193. #2425C22semidirect
195. #2424C22semidirect
196. #2423C22semidirect
198. #2422C22semidirect
199. #2418C22semidirect
200. #2418C22semidirect
201. #2418C22semidirect
202. #2417C22semidirect
205. #2416C22semidirect
206. #2415C22semidirect
207. #2415C22semidirect
208. #2414C22semidirect
209. #2414C22semidirect
211. #2410C22semidirect
212. #2410C22semidirect
213. #2409C22semidirect
217. #2407C22semidirect
218. #2407C22semidirect
219. #2407C22semidirect
220. #2407C22semidirect
221. #2405C22semidirect
222. #2405C22semidirect
223. #2404C22semidirect
224. #2396C22semidirect
225. #2396C22semidirect
226. #2392C22semidirect
227. #2392C22semidirect
228. C2×#397C22semidirect
229. C2×#397C22semidirect
231. #2361C22semidirect
232. #2361C22semidirect
233. #2361C22semidirect
235. #2352C22semidirect
237. D4×C4⋊C4C22semidirect
238. #2347C22semidirect
240. D4×C22⋊C4C22semidirect
241. #2329C22semidirect
242. #2325C22semidirect
243. #2325C22semidirect
245. #2323C22semidirect
246. #2311C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. C2×#391C22semidirect
253. C2×#391C22semidirect
255. C2×#389C22semidirect
256. C2×#385C22semidirect
257. C2×#381C22semidirect
258. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#596762
#591312
#582622
#576332
#566542
#547572
#530602
#529642
#525862
#453652
#453532
#425722
#425572
#425182
#424742
#407622
#397602
#397432
#380262
#380252
#377682
#376922
#374462
#367302
#361002
D4×#1212
#350062
C2×#24472
#345942