Finite Group Databasebeta

← #7645693

Subgroups — #7645693

Order 512.

6032 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41057C214yesmaximal, complemented
2#41041C214yesmaximal, complemented
3#40936C214yesmaximal, complemented
4#40925C214yesmaximal, complemented
5#39433C212yesmaximal, complemented
6#39419C212yesmaximal, complemented
7#39069C212yesmaximal, complemented
8#39041C212yesmaximal, complemented
9#38249C212yesmaximal, complemented
10#38201C212yesmaximal, complemented
11#37785C212yesmaximal, complemented
12#37751C212yesmaximal, complemented
13#37493C212yesmaximal, complemented
14#37477C211yesmaximal, characteristic, complemented
15#37439C211yesmaximal, characteristic, complemented
16#36808C214yesmaximal, complemented
17#36729C212yesmaximal, complemented
18#36727C212yesmaximal, complemented
19#35361C214yesmaximal, complemented
20#35251C211yesmaximal, characteristic, complemented
21#35250C211yesmaximal, characteristic, complemented
22#35243C212yesmaximal, complemented
23#35034C212yesmaximal, complemented
24#35007C212yesmaximal, complemented
25#35003C212yesmaximal, complemented
26#34708C212yesmaximal, complemented
27#34205C211yesmaximal, characteristic, complemented
28C2×#2341C211yesmaximal, characteristic, complemented
29#34082C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C2×#542C2212yescomplemented
32C2×#538C2214yescomplemented
33C2×#537C2211yescharacteristic, complemented
34C2×#537C2211yescharacteristic, complemented
35C2×#535C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#529C2212yescomplemented
38C2×#525C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C2×#518C2212yes—
41C22×C4×Q8C2211yescharacteristic, complemented
42C22×C4×Q8C2211yescharacteristic, complemented
43#2860C2212yescomplemented
44#2858C2212yescomplemented
45#2856C2212yescomplemented
46#2854C2212yescomplemented
47#2852C2214yescomplemented
48#2850C2214yescomplemented
49#2848C2212yescomplemented
50#2847C2212yes—
51#2847C2212yes—
52#2847C2212yescomplemented
53#2841C2214yescomplemented
54#2829C2214yescomplemented
55#2828C2214yescomplemented
56#2813C2214yescomplemented
57#2797C2214yescomplemented
58#2761C2214yescomplemented
59#2756C2214yescomplemented
60#2753C2214yescomplemented
61#2752C2214yescomplemented
62#2751C2214yescomplemented
63#2749C2214yescomplemented
64#2748C2214yescomplemented
65#2748C2214yescomplemented
66#2747C2214yescomplemented
67#2742C2214yescomplemented
68#2741C2214yescomplemented
69#2741C2214yescomplemented
70#2741C2214yescomplemented
71#2730C2214yescomplemented
72#2717C2214yescomplemented
73#2714C2214yescomplemented
74#2714C2214yescomplemented
75#2703C2214yescomplemented
76#2703C2214yescomplemented
77#2703C2214yescomplemented
78#2702C2214yescomplemented
79#2692C2214yescomplemented
80#2691C2214yescomplemented
81#2685C2214yescomplemented
82#2685C2214yescomplemented
83#2678C2214yescomplemented
84#2676C2214yescomplemented
85#2672C2214yescomplemented
86#2671C2214yescomplemented
87#2671C2214yescomplemented
88#2670C2214yescomplemented
89#2662C2214yescomplemented
90#2661C2214yescomplemented
91#2661C2214yescomplemented
92#2659C2212yescomplemented
93#2659C2212yescomplemented
94#2656C2212yes—
95#2648C2214yescomplemented
96#2646C2212yescomplemented
97#2646C2212yescomplemented
98#2644C2212yescomplemented
99#2641C2212yescomplemented
100#2639C2212yes—
101#2637C2214yescomplemented
102#2632C2214yescomplemented
103#2629C2212yescomplemented
104#2628C2212yescomplemented
105#2626C2212yescomplemented
106#2624C2212yescomplemented
107#2624C2212yescomplemented
108#2622C2214yescomplemented
109#2619C2212yescomplemented
110#2617C2212yescomplemented
111#2617C2214yescomplemented
112#2616C2212yes—
113#2615C2212yes—
114#2615C2212yes—
115#2615C2212yes—
116#2615C2212yescomplemented
117#2610C2214yescomplemented
118#2603C2214yescomplemented
119#2602C2214yescomplemented
120#2601C2214yescomplemented
121#2578C2214yescomplemented
122#2577C2214yescomplemented
123#2560C2214yescomplemented
124#2559C2214yescomplemented
125#2555C2214yescomplemented
126#2555C2214yescomplemented
127#2555C2214yescomplemented
128#2554C2214yescomplemented
129#2553C2214yescomplemented
130#2553C2214yescomplemented
131#2540C2214yescomplemented
132#2539C2214yescomplemented
133#2531C2214yescomplemented
134#2530C2214yescomplemented
135#2521C2214yescomplemented
136#2521C2214yescomplemented
137#2513C2212yescomplemented
138#2512C2212yescomplemented
139#2491C2212yescomplemented
140#2490C2212yescomplemented
141#2487C2212yescomplemented
142#2481C2214yescomplemented
143#2479C2214yescomplemented
144#2477C2214yescomplemented
145#2476C2214yescomplemented
146#2472C2214yescomplemented
147#2472C2214yescomplemented
148#2471C2214yescomplemented
149#2469C2214yescomplemented
150#2467C2214yescomplemented
151#2465C2214yescomplemented
152#2464C2214yescomplemented
153#2464C2214yescomplemented
154#2464C2214yescomplemented
155#2461C2214yescomplemented
156#2458C2214yescomplemented
157#2458C2214yescomplemented
158#2456C2214yescomplemented
159#2453C2212yescomplemented
160#2451C2212yescomplemented
161#2449C2214yescomplemented
162#2448C2212yescomplemented
163#2448C2212yescomplemented
164#2445C2212yescomplemented
165#2445C2212yescomplemented
166#2443C2214yescomplemented
167#2443C2214yescomplemented
168#2442C2212yescomplemented
169#2442C2212yescomplemented
170#2440C2212yescomplemented
171#2440C2212yescomplemented
172#2437C2214yes—
173#2436C2212yes—
174#2433C2212yes—
175#2431C2212yes—
176#2431C2212yes—
177#2430C2214yescomplemented
178#2428C2212yescomplemented
179#2428C2212yescomplemented
180#2426C2212yescomplemented
181#2426C2212yescomplemented
182#2424C2214yescomplemented
183#2424C2214yescomplemented
184#2424C2214yescomplemented
185#2423C2212yescomplemented
186#2421C2212yescomplemented
187#2418C2214yescomplemented
188#2416C2212yes—
189#2416C2212yes—
190#2414C2214yescomplemented
191#2411C2214yescomplemented
192#2410C2214yes—
193#2410C2214yes—
194#2409C2212yescomplemented
195#2408C2212yescomplemented
196#2408C2212yescomplemented
197#2407C2212yes—
198#2407C2212yes—
199#2404C2214yes—
200#2403C2214yes—
201#2398C2214yescomplemented
202#2396C2214yescomplemented
203#2364C2214yescomplemented
204#2361C2212yescomplemented
205#2361C2212yescomplemented
206#2344C2212yescomplemented
207#2342C2214yescomplemented
208#2341C2212yes—
209#2341C2212yes—
210#2341C2214yes—
211#2341C2212yescomplemented
212#2341C2214yescomplemented
213#2341C2212yescomplemented
214D4×C22⋊C4C2212yescomplemented
215#2335C2212yescomplemented
216#2335C2212yescomplemented
217#2333C2212yescomplemented
218#2332C2212yescomplemented
219#2329C2211yescharacteristic, complemented
220#2329C2211yescharacteristic, complemented
221#2326C2212yescomplemented
222#2325C2212yes—
223#2325C2212yes—
224#2325C2211yescharacteristic, complemented
225#2325C2211yescharacteristic, complemented
226#2323C2212yescomplemented
227#2321C2212yes—
228#2321C2212yes—
229#2321C2214yescomplemented
230#2320C2212yescomplemented
231#2311C2211yescharacteristic
232#2311C2211yescharacteristic
233#2311C2211yescharacteristic, complemented
234#2311C2211yescharacteristic, complemented
235#2308C2212yes—
236C4×#124C2212yescomplemented
237C4×C22⋊Q8C2212yescomplemented
238C4×#121C2212yes—
239C4×#121C2212yes—
240C4×#121C2214yescomplemented
241#2298C2212yescomplemented
242#2297C2212yescomplemented
243#2295C2212yescomplemented
244#2293C2212yescomplemented
245C2×#390C2212yes—
246C2×#390C2212yes—
247C2×#390C2211yescharacteristic, complemented
248C2×#390C2211yescharacteristic, complemented
249#2290C2214yescomplemented
250#2290C2212yescomplemented
251#2290C2212yescomplemented
252#2280C2211yescharacteristic
253C2×#380C2211yescharacteristic
254C2×#380C2211yescharacteristic
255C2×#380C2212yescomplemented
256C42×D4C2212yescomplemented
257C2×C4×C22⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2212yescomplemented
259C22×#41—28no—
260C22×#41—44no—
261C22×#41—44no—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2311yescharacteristic
266C22×#41C2312yes—
267C22×#41C2312yes—
268C22×#41C2311yescharacteristic
269C23×Q8C2311yescharacteristic
270C23×D4C2312yes—
271C23×D4C2312yes—
272C23×D4C2311yescharacteristic
273C23×D4C2311yescharacteristic
274C24×C4C2312yes—
275C24×C4C2311yescharacteristic
276#542—48no—
277#538—416no—
278#537—44no—
279#537—44no—
280#535—44no—
281#535—44no—
282C2×C4⋊Q8C2312yes—
283C2×#127C2312yes—
284C2×#127C2312yes—
285#529—48no—
286C2×#126C2314yes—
287C2×#126C2314yes—
288C2×#126C2314yes—
289C2×#126C2314yes—
290C2×#125C2312yes—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2314yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296C2×#124C2314yes—
297#525—28no—
298C2×#123C2312yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×#121—28no—
314C2×#121C2312yes—
315C2×#121C2311yescharacteristic
316C2×#121C2311yescharacteristic
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#120C2312yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345#518—48no—
346C2×C4×Q8—44no—
347C2×C4×Q8—44no—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2314yes—
370C2×#117C2314yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C42C2312yes—
389C22×C42C2312yes—
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
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#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#390C2314yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2314yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2314yes—
512#390C2314yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2312yes—
545#388C2314yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
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#387C2314yes—
582#387C2312yes—
583#387C2314yes—
584#387C2314yes—
585#387C2312yes—
586#387C2314yes—
587#387C2314yes—
588#387C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2312yes—
611#386C2312yes—
612#386C2312yes—
613#386C2312yes—
614#386C2312yes—
615#386C2312yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2312yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#385C2312yes—
637#385C2312yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2312yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#384C2312yes—
654#383C2314yes—
655#382C2314yes—
656#382C2312yes—
657#381C2314yes—
658#381C2312yes—
659#380C2312yes—
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2311yescharacteristic
670#380C2311yescharacteristic
671#380C2312yes—
672#380C2312yes—
673#380C2311yescharacteristic
674#380C2311yescharacteristic
675#380C2312yes—
676#380C2312yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2314yes—
685#380C2314yes—
686#380C2312yes—
687#379C2314yes—
688#379C2312yes—
689#379C2314yes—
690#379C2314yes—
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720#376C2312yes—
721#376C2314yes—
722C2×#95C2311yescharacteristic
723C2×#95C2311yescharacteristic
724C2×#95C2312yes—
725C2×#95C2312yes—
726C43C2312yes—
727C25C2412yes—
728C25C2411yescharacteristic
729C25C2412yes—
730C2×#41—24no—
731C2×#41—24no—
732C2×#41—24no—
733C2×#41—24no—
734C2×#41—24no—
735C2×#41—24no—
736C2×#41—24no—
737C2×#41—24no—
738C2×#41—28no—
739C2×#41—28no—
740C2×#41—24no—
741C2×#41—42no—
742C2×#41—42no—
743C2×#41—42no—
744C2×#41—42no—
745C2×#41—42no—
746C2×#41—42no—
747C2×#41—44no—
748C2×#41—44no—
749C2×#41—44no—
750C2×#41—44no—
751C2×#41—464no—
752C22×Q8—24no—
753C22×Q8—24no—
754C22×Q8—24no—
755C22×Q8C2412yes—
756C22×Q8C2411yescharacteristic
757C22×Q8C2411yescharacteristic
758C22×Q8C2411yescharacteristic
759C22×Q8C2414yes—
760C22×D4—28no—
761C22×D4—28no—
762C22×D4—24no—
763C22×D4—24no—
764C22×D4—44no—
765C22×D4—44no—
766C22×D4—42no—
767C22×D4—42no—
768C22×D4—42no—
769C22×D4—42no—
770C22×D4—44no—
771C22×D4—44no—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2411yescharacteristic
776C22×D4C2411yescharacteristic
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2411yescharacteristic
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C23×C4—28no—
796C23×C4—42no—
797C23×C4—42no—
798C23×C4—44no—
799C23×C4—44no—
800C23×C4#4118yes—
801C23×C4C2412yes—
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2412yes—
807C23×C4C2411yescharacteristic
808C23×C4C2411yescharacteristic
809C23×C4C2411yescharacteristic
810C23×C4C2411yescharacteristic
811C23×C4C2411yescharacteristic
812C23×C4C2412yes—
813C23×C4C2412yes—
814C23×C4C2411yescharacteristic
815C23×C4C2412yes—
816C23×C4C2414yes—
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2414yes—
821C23×C4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C4⋊Q8—44no—
827#127—44no—
828#127—44no—
829#126—48no—
830#126—48no—
831#126—48no—
832#126—48no—
833#125—44no—
834#124—28no—
835#124—28no—
836#124—48no—
837#124—48no—
838#124—48no—
839#124—84no—
840#123—28no—
841#123—48no—
842#123—48no—
843#123—48no—
844#123—48no—
845#123—84no—
846C22⋊Q8—28no—
847C22⋊Q8—28no—
848C22⋊Q8—24no—
849C22⋊Q8—24no—
850C22⋊Q8—48no—
851C22⋊Q8—48no—
852C22⋊Q8—44no—
853C22⋊Q8—44no—
854C22⋊Q8—84no—
855#121—28no—
856#121—28no—
857#121—28no—
858#121—28no—
859#121—24no—
860#121—24no—
861#121—44no—
862#121—44no—
863#121—44no—
864#121—44no—
865#121—44no—
866#121—44no—
867#121—48no—
868#121—48no—
869#121—48no—
870#121—48no—
871#121—44no—
872#121—44no—
873#121—44no—
874#121—44no—
875#121—48no—
876#121—48no—
877#121—84no—
878#121—84no—
879#120—28no—
880#120—48no—
881#120—48no—
882#120—48no—
883#120—48no—
884#120—48no—
885#120—84no—
886C4×Q8—28no—
887C4×Q8—28no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—48no—
891C4×Q8—48no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—216no—
895C4×D4—28no—
896C4×D4—48no—
897C4×D4—48no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—48no—
901C4×D4—44no—
902C4×D4—48no—
903#117—24no—
904#117—42no—
905#117—42no—
906#117—44no—
907#117—48no—
908#117—48no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—42no—
911C2×C4⋊C4—42no—
912C2×C4⋊C4—44no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4—42no—
915C2×C4⋊C4—42no—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C22⋊C4—28no—
960C2×C22⋊C4—24no—
961C2×C22⋊C4—28no—
962C2×C22⋊C4—48no—
963C2×C22⋊C4—44no—
964C2×C22⋊C4—42no—
965C2×C22⋊C4—44no—
966C2×C22⋊C4—82no—
967C2×C22⋊C4—82no—
968C2×C22⋊C4—82no—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C42—42no—
1035C2×C42—42no—
1036C2×C42—44no—
1037C2×C42—44no—
1038C2×C42—44no—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104C24—22no—
1105C24—22no—
1106C24—24no—
1107C24—24no—
1108C24—24no—
1109C24—24no—
1110C24—41no—
1111C24—42no—
1112C24—41no—
1113C24—41no—
1114C24—42no—
1115C24—42no—
1116C24—41no—
1117C24—42no—
1118C24—42no—
1119C24—42no—
1120C24—42no—
1121C24—42no—
1122C24—42no—
1123C24—42no—
1124C24C2×#4114yes—
1125C24C2514yes—
1126C24C2512yes—
1127C24C2512yes—
1128C24C2512yes—
1129C24C2511yescharacteristic
1130C24C2511yescharacteristic
1131C24C2511yescharacteristic
1132#41—416no—
1133#41—416no—
1134#41—416no—
1135#41—416no—
1136#41—432no—
1137#41—432no—
1138#41—88no—
1139C2×Q8—232no—
1140C2×Q8—24no—
1141C2×Q8—22no—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—41no—
1149C2×Q8—41no—
1150C2×Q8—44no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×Q8H(5,𝔽2)14yes—
1154C2×Q8H(5,𝔽2)14yes—
1155C2×D4—24no—
1156C2×D4—28no—
1157C2×D4—28no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—28no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—28no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—24no—
1173C2×D4—22no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—432no—
1193C2×D4—416no—
1194C2×D4—44no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—432no—
1227C2×D4—88no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—28no—
1255C22×C4—24no—
1256C22×C4—416no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—42no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—42no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—41no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—41no—
1280C22×C4—42no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—432no—
1298C22×C4C2×#4114yes—
1299C22×C4C2×#4114yes—
1300C22×C4C2×#4114yes—
1301C22×C4C2×#4114yes—
1302C22×C4C2×#4114yes—
1303C22×C4C2×#4114yes—
1304C22×C4H(5,𝔽2)14yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—28no—
1338C4⋊C4—28no—
1339C4⋊C4—28no—
1340C4⋊C4—28no—
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
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—42no—
1434C22⋊C4—44no—
1435C42—24no—
1436C42—24no—
1437C42—28no—
1438C42—24no—
1439C42—24no—
1440C42—28no—
1441C42—24no—
1442C42—28no—
1443C42—24no—
1444C42—42no—
1445C42—42no—
1446C42—44no—
1447C42—42no—
1448C42—44no—
1449C42—42no—
1450C42—42no—
1451C42—44no—
1452C42—42no—
1453C42—42no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—28no—
1471C23—22no—
1472C23—24no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—24no—
1479C23—24no—
1480C23—22no—
1481C23—24no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—24no—
1491C23—22no—
1492C23—22no—
1493C23—24no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—24no—
1498C23—22no—
1499C23—44no—
1500C23—44no—
1501C23—48no—
1502C23—48no—
1503C23—48no—
1504C23—48no—
1505C23—82no—
1506C23—84no—
1507C23—82no—
1508C23—84no—
1509C23—82no—
1510C23—84no—
1511C23—82no—
1512C23—84no—
1513C23—84no—
1514C23—84no—
1515C23—162no—
1516C23—162no—
1517C23—162no—
1518C23—162no—
1519C23C22×#4112yes—
1520C23C22×#4112yes—
1521C23C22×#4112yes—
1522C23C2×H(5,𝔽2)12yes—
1523C23#58512yes—
1524C23C2611yescharacteristic
1525Q8—216no—
1526Q8—28no—
1527Q8—28no—
1528Q8—82no—
1529Q8—164no—
1530D4—48no—
1531D4—48no—
1532D4—48no—
1533D4—48no—
1534D4—48no—
1535D4—416no—
1536D4—48no—
1537D4—416no—
1538D4—44no—
1539D4—44no—
1540D4—48no—
1541D4—84no—
1542D4—82no—
1543D4—84no—
1544D4—84no—
1545D4—88no—
1546D4—164no—
1547D4—164no—
1548D4—164no—
1549D4—164no—
1550D4—164no—
1551D4—164no—
1552D4—164no—
1553C2×C4—216no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—28no—
1567C2×C4—28no—
1568C2×C4—28no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—48no—
1619C2×C4—48no—
1620C2×C4—48no—
1621C2×C4—48no—
1622C2×C4—44no—
1623C2×C4—48no—
1624C2×C4—48no—
1625C2×C4—88no—
1626C2×C4—84no—
1627C2×C4—82no—
1628C2×C4—84no—
1629C2×C4—82no—
1630C2×C4—84no—
1631C2×C4—84no—
1632C2×C4—162no—
1633C2×C4—164no—
1634C2×C4—162no—
1635C2×C4C22×#4112yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4112yes—
1639C2×C4C2×H(5,𝔽2)14yes—
1640C2×C4C2×H(5,𝔽2)14yes—
1641C2×C4C2×H(5,𝔽2)14yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×H(5,𝔽2)12yes—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—44no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—44no—
1672C22—42no—
1673C22—44no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—44no—
1678C22—42no—
1679C22—42no—
1680C22—44no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—44no—
1686C22—42no—
1687C22—42no—
1688C22—44no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—88no—
1693C22—816no—
1694C22—168no—
1695C22#346014yes—
1696C22C23×#4111yescharacteristic
1697C22C22×H(5,𝔽2)11yescharacteristic
1698C22C22×H(5,𝔽2)11yescharacteristic
1699C22C22×H(5,𝔽2)11yescharacteristic
1700C22C2×#58511yescharacteristic
1701C22H(7,𝔽2)11yescharacteristic
1702C222−1+611yescharacteristic
1703C4—22no—
1704C4—22no—
1705C4—22no—
1706C4—24no—
1707C4—24no—
1708C4—24no—
1709C4—42no—
1710C4—42no—
1711C4—44no—
1712C4—42no—
1713C4—42no—
1714C4—44no—
1715C4—42no—
1716C4—42no—
1717C4—44no—
1718C4—44no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—44no—
1723C4—42no—
1724C4#349014yes—
1725C2—24no—
1726C2—42no—
1727C2—42no—
1728C2—82no—
1729C2—82no—
1730C2—82no—
1731C2—84no—
1732C2C2×#346011yescharacteristic
1733C2C2×#349011yescharacteristic
1734C2#6285611yescharacteristic
1735C2#6289511yescharacteristic
1736C2#6289911yescharacteristic
1737C2#6291611yescharacteristic
1738C2#6291911yescharacteristic
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. #41057C2semidirect
2. #41041C2semidirect
3. #40936C2semidirect
4. #40925C2semidirect
5. #39433C2semidirect
6. #39419C2semidirect
7. #39069C2semidirect
8. #39041C2semidirect
9. #38249C2semidirect
10. #38201C2semidirect
11. #37785C2semidirect
12. #37751C2semidirect
13. #37493C2semidirect
14. #37477C2semidirect
15. #37439C2semidirect
16. #36808C2semidirect
17. #36729C2semidirect
18. #36727C2semidirect
19. #35361C2semidirect
20. #35251C2semidirect
21. #35250C2semidirect
22. #35243C2semidirect
23. #35034C2semidirect
24. #35007C2semidirect
25. #35003C2semidirect
26. #34708C2semidirect
27. #34205C2semidirect
28. C2×#2341C2semidirect
29. #34082C2semidirect
31. C2×#542C22semidirect
32. C2×#538C22semidirect
33. C2×#537C22semidirect
34. C2×#537C22semidirect
37. C2×#529C22semidirect
41. C22×C4×Q8C22semidirect
42. C22×C4×Q8C22semidirect
43. #2860C22semidirect
44. #2858C22semidirect
45. #2856C22semidirect
46. #2854C22semidirect
47. #2852C22semidirect
48. #2850C22semidirect
49. #2848C22semidirect
52. #2847C22semidirect
53. #2841C22semidirect
54. #2829C22semidirect
55. #2828C22semidirect
56. #2813C22semidirect
57. #2797C22semidirect
58. #2761C22semidirect
59. #2756C22semidirect
60. #2753C22semidirect
61. #2752C22semidirect
62. #2751C22semidirect
63. #2749C22semidirect
64. #2748C22semidirect
65. #2748C22semidirect
66. #2747C22semidirect
67. #2742C22semidirect
68. #2741C22semidirect
69. #2741C22semidirect
70. #2741C22semidirect
71. #2730C22semidirect
72. #2717C22semidirect
73. #2714C22semidirect
74. #2714C22semidirect
75. #2703C22semidirect
76. #2703C22semidirect
77. #2703C22semidirect
78. #2702C22semidirect
79. #2692C22semidirect
80. #2691C22semidirect
81. #2685C22semidirect
82. #2685C22semidirect
83. #2678C22semidirect
84. #2676C22semidirect
85. #2672C22semidirect
86. #2671C22semidirect
87. #2671C22semidirect
88. #2670C22semidirect
89. #2662C22semidirect
90. #2661C22semidirect
91. #2661C22semidirect
92. #2659C22semidirect
93. #2659C22semidirect
95. #2648C22semidirect
96. #2646C22semidirect
97. #2646C22semidirect
98. #2644C22semidirect
99. #2641C22semidirect
101. #2637C22semidirect
102. #2632C22semidirect
103. #2629C22semidirect
104. #2628C22semidirect
105. #2626C22semidirect
106. #2624C22semidirect
107. #2624C22semidirect
108. #2622C22semidirect
109. #2619C22semidirect
110. #2617C22semidirect
111. #2617C22semidirect
116. #2615C22semidirect
117. #2610C22semidirect
118. #2603C22semidirect
119. #2602C22semidirect
120. #2601C22semidirect
121. #2578C22semidirect
122. #2577C22semidirect
123. #2560C22semidirect
124. #2559C22semidirect
125. #2555C22semidirect
126. #2555C22semidirect
127. #2555C22semidirect
128. #2554C22semidirect
129. #2553C22semidirect
130. #2553C22semidirect
131. #2540C22semidirect
132. #2539C22semidirect
133. #2531C22semidirect
134. #2530C22semidirect
135. #2521C22semidirect
136. #2521C22semidirect
137. #2513C22semidirect
138. #2512C22semidirect
139. #2491C22semidirect
140. #2490C22semidirect
141. #2487C22semidirect
142. #2481C22semidirect
143. #2479C22semidirect
144. #2477C22semidirect
145. #2476C22semidirect
146. #2472C22semidirect
147. #2472C22semidirect
148. #2471C22semidirect
149. #2469C22semidirect
150. #2467C22semidirect
151. #2465C22semidirect
152. #2464C22semidirect
153. #2464C22semidirect
154. #2464C22semidirect
155. #2461C22semidirect
156. #2458C22semidirect
157. #2458C22semidirect
158. #2456C22semidirect
159. #2453C22semidirect
160. #2451C22semidirect
161. #2449C22semidirect
162. #2448C22semidirect
163. #2448C22semidirect
164. #2445C22semidirect
165. #2445C22semidirect
166. #2443C22semidirect
167. #2443C22semidirect
168. #2442C22semidirect
169. #2442C22semidirect
170. #2440C22semidirect
171. #2440C22semidirect
177. #2430C22semidirect
178. #2428C22semidirect
179. #2428C22semidirect
180. #2426C22semidirect
181. #2426C22semidirect
182. #2424C22semidirect
183. #2424C22semidirect
184. #2424C22semidirect
185. #2423C22semidirect
186. #2421C22semidirect
187. #2418C22semidirect
190. #2414C22semidirect
191. #2411C22semidirect
194. #2409C22semidirect
195. #2408C22semidirect
196. #2408C22semidirect
201. #2398C22semidirect
202. #2396C22semidirect
203. #2364C22semidirect
204. #2361C22semidirect
205. #2361C22semidirect
206. #2344C22semidirect
207. #2342C22semidirect
211. #2341C22semidirect
212. #2341C22semidirect
213. #2341C22semidirect
214. D4×C22⋊C4C22semidirect
215. #2335C22semidirect
216. #2335C22semidirect
217. #2333C22semidirect
218. #2332C22semidirect
219. #2329C22semidirect
220. #2329C22semidirect
221. #2326C22semidirect
224. #2325C22semidirect
225. #2325C22semidirect
226. #2323C22semidirect
229. #2321C22semidirect
230. #2320C22semidirect
233. #2311C22semidirect
234. #2311C22semidirect
236. C4×#124C22semidirect
237. C4×C22⋊Q8C22semidirect
240. C4×#121C22semidirect
241. #2298C22semidirect
242. #2297C22semidirect
243. #2295C22semidirect
244. #2293C22semidirect
247. C2×#390C22semidirect
248. C2×#390C22semidirect
249. #2290C22semidirect
250. #2290C22semidirect
251. #2290C22semidirect
255. C2×#380C22semidirect
256. C42×D4C22semidirect
258. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#410572
#410412
#409362
#409252
#394332
#394192
#390692
#390412
#382492
#382012
#377852
#377512
#374932
#374772
#374392
#368082
#367292
#367272
#353612
#352512
#352502
#352432
#350342
#350072
#350032
#347082
#342052
C2×#23412
#340822