Finite Group Databasebeta

← #7660758

Subgroups — #7660758

Order 512.

5804 conjugacy classes of subgroups.

The subgroup lattice has 1627 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52279C211yesmaximal, characteristic, complemented
2#52163C212yesmaximal, complemented
3#42612C212yesmaximal, complemented
4#42575C212yesmaximal, complemented
5#42422C212yesmaximal, complemented
6#42111C214yesmaximal, complemented
7#41033C214yesmaximal, complemented
8#40947C214yesmaximal, complemented
9#40069C212yesmaximal, complemented
10#39452C212yesmaximal, complemented
11#39428C214yesmaximal, complemented
12#39401C212yesmaximal, complemented
13#39367C211yesmaximal, characteristic, complemented
14#39358C211yesmaximal, characteristic, complemented
15#38780C212yesmaximal, complemented
16#37752C214yesmaximal, complemented
17#37346C212yesmaximal, complemented
18#37315C211yesmaximal, characteristic, complemented
19#37155C212yesmaximal, complemented
20#36901C214yesmaximal, complemented
21#36528C212yesmaximal, complemented
22#36492C211yesmaximal, characteristic, complemented
23#36410C211yesmaximal, characteristic, complemented
24#36101C212yesmaximal, complemented
25#35989C212yesmaximal, complemented
26#35916C212yesmaximal, complemented
27#35860C212yesmaximal, complemented
28#34290C212yesmaximal, complemented
29#34269C211yesmaximal, characteristic, complemented
30C2×#554C2211yescharacteristic, complemented
31C2×#550C2211yescharacteristic, complemented
32C2×D42C2212yes—
33C2×#543C2212yescomplemented
34C2×#538C2214yescomplemented
35C2×#535C2211yescharacteristic
36C2×#534C2212yes—
37C2×#525C2214yescomplemented
38C2×#518C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic, complemented
40C22×C4×D4C2212yescomplemented
41#2857C2211yescharacteristic, complemented
42#2856C2211yescharacteristic
43#2856C2212yescomplemented
44#2855C2212yescomplemented
45#2854C2212yescomplemented
46#2851C2212yescomplemented
47#2848C2214yescomplemented
48#2847C2214yescomplemented
49#2824C2214yescomplemented
50#2824C2214yescomplemented
51#2812C2214yescomplemented
52#2810C2211yescharacteristic, complemented
53#2809C2211yescharacteristic, complemented
54#2808C2212yescomplemented
55#2797C2214yescomplemented
56#2787C2212yescomplemented
57#2787C2212yescomplemented
58#2786C2214yescomplemented
59#2784C2214yescomplemented
60#2778C2214yescomplemented
61#2771C2212yescomplemented
62#2750C2212yescomplemented
63#2747C2214yescomplemented
64#2739C2214yescomplemented
65#2732C2212yescomplemented
66#2732C2211yescharacteristic, complemented
67#2732C2212yescomplemented
68#2728C2212yescomplemented
69#2728C2214yescomplemented
70#2727C2212yescomplemented
71#2724C2211yescharacteristic, complemented
72#2724C2212yescomplemented
73#2708C2212yes—
74#2708C2214yescomplemented
75#2708C2214yescomplemented
76#2697C2214yescomplemented
77#2696C2214yescomplemented
78#2696C2214yescomplemented
79#2696C2214yescomplemented
80#2696C2214yescomplemented
81#2695C2214yescomplemented
82#2693C2214yescomplemented
83#2692C2214yescomplemented
84#2691C2214yescomplemented
85#2688C2214yescomplemented
86#2688C2214yescomplemented
87#2686C2214yescomplemented
88#2685C2214yescomplemented
89#2684C2214yescomplemented
90#2683C2212yescomplemented
91#2682C2212yes—
92#2681C2214yescomplemented
93#2681C2214yescomplemented
94#2679C2212yes—
95#2678C2214yes—
96#2676C2214yescomplemented
97#2676C2214yescomplemented
98#2671C2214yescomplemented
99#2668C2214yescomplemented
100#2668C2214yescomplemented
101#2668C2214yescomplemented
102#2653C2214yescomplemented
103#2652C2214yescomplemented
104#2650C2214yescomplemented
105#2649C2214yescomplemented
106#2648C2214yescomplemented
107#2644C2212yescomplemented
108#2640C2212yescomplemented
109#2639C2214yescomplemented
110#2635C2214yescomplemented
111#2630C2214yescomplemented
112#2626C2212yescomplemented
113#2624C2212yescomplemented
114#2622C2214yescomplemented
115#2617C2212yes—
116#2617C2214yescomplemented
117#2613C2214yescomplemented
118#2597C2214yescomplemented
119#2595C2214yescomplemented
120#2582C2211yescharacteristic, complemented
121#2563C2211yescharacteristic, complemented
122#2562C2212yescomplemented
123#2561C2214yescomplemented
124#2560C2214yescomplemented
125#2559C2214yescomplemented
126#2557C2214yescomplemented
127#2553C2214yescomplemented
128#2548C2211yescharacteristic, complemented
129#2544C2212yes—
130#2542C2212yescomplemented
131#2541C2212yes—
132#2538C2212yescomplemented
133#2537C2211yescharacteristic, complemented
134#2535C2212yes—
135#2534C2214yescomplemented
136#2522C2214yescomplemented
137#2521C2214yescomplemented
138#2516C2214yescomplemented
139#2513C2212yescomplemented
140#2512C2212yescomplemented
141#2511C2212yescomplemented
142#2509C2212yescomplemented
143#2507C2212yescomplemented
144#2496C2212yescomplemented
145#2491C2212yescomplemented
146#2491C2212yescomplemented
147#2488C2214yescomplemented
148#2477C2214yescomplemented
149#2477C2214yescomplemented
150#2477C2214yescomplemented
151#2476C2214yescomplemented
152#2472C2214yescomplemented
153#2472C2214yescomplemented
154#2470C2214yescomplemented
155#2467C2214yescomplemented
156#2466C2214yescomplemented
157#2464C2214yescomplemented
158#2463C2214yescomplemented
159#2463C2214yescomplemented
160#2463C2214yescomplemented
161#2460C2214yescomplemented
162#2460C2214yescomplemented
163#2456C2214yescomplemented
164#2456C2214yescomplemented
165#2452C2212yescomplemented
166#2452C2212yescomplemented
167#2452C2212yescomplemented
168#2450C2214yescomplemented
169#2450C2214yescomplemented
170#2447C2212yescomplemented
171#2445C2212yes—
172#2445C2212yescomplemented
173#2445C2212yescomplemented
174#2445C2212yescomplemented
175#2445C2212yescomplemented
176#2440C2212yescomplemented
177#2437C2214yescomplemented
178#2435C2212yescomplemented
179#2433C2212yes—
180#2433C2212yescomplemented
181#2431C2212yescomplemented
182#2428C2212yes—
183#2427C2212yes—
184#2427C2214yescomplemented
185#2427C2214yescomplemented
186#2427C2212yescomplemented
187#2425C2214yescomplemented
188#2425C2214yescomplemented
189#2424C2214yescomplemented
190#2424C2214yescomplemented
191#2422C2212yes—
192#2421C2212yescomplemented
193#2419C2214yescomplemented
194#2416C2212yes—
195#2414C2214yescomplemented
196#2414C2212yescomplemented
197#2410C2214yes—
198#2410C2214yescomplemented
199#2408C2212yes—
200#2407C2214yescomplemented
201#2407C2212yescomplemented
202#2407C2212yescomplemented
203#2402C2212yescomplemented
204#2401C2212yescomplemented
205#2395C2214yescomplemented
206#2395C2212yescomplemented
207#2395C2214yescomplemented
208#2392C2214yescomplemented
209#2369C2212yescomplemented
210#2367C2212yescomplemented
211#2367C2212yescomplemented
212#2367C2212yescomplemented
213#2366C2212yes—
214#2366C2212yescomplemented
215#2366C2212yescomplemented
216#2364C2214yescomplemented
217#2363C2212yescomplemented
218#2361C2212yes—
219#2361C2212yescomplemented
220#2361C2212yescomplemented
221#2358C2214yescomplemented
222#2358C2214yescomplemented
223#2358C2214yescomplemented
224#2358C2214yescomplemented
225#2355C2211yescharacteristic, complemented
226#2354C2212yescomplemented
227#2354C2211yescharacteristic, complemented
228#2352C2212yescomplemented
229#2349C2212yescomplemented
230#2345C2212yescomplemented
231D4×C22⋊C4C2212yes—
232D4×C22⋊C4C2214yescomplemented
233D4×C22⋊C4C2212yescomplemented
234#2329C2214yescomplemented
235#2328C2212yes—
236#2325C2214yescomplemented
237#2324C2212yescomplemented
238#2324C2212yescomplemented
239#2324C2212yescomplemented
240#2321C2214yescomplemented
241#2311C2211yescharacteristic, complemented
242C4×C22⋊Q8C2212yescomplemented
243C4×C22⋊Q8C2211yescharacteristic, complemented
244C4×#123C2212yescomplemented
245C4×#121C2211yescharacteristic
246C4×#121C2212yes—
247C4×#121C2212yescomplemented
248C4×#121C2212yescomplemented
249C4×#121C2212yescomplemented
250C4×#120C2214yescomplemented
251C4×#120C2214yescomplemented
252#2297C2212yescomplemented
253#2296C2211yescharacteristic, complemented
254C2×#390C2211yescharacteristic
255#2290C2212yescomplemented
256C2×#386C2214yescomplemented
257#2275C2212yescomplemented
258#2274C2211yescharacteristic, complemented
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C23×D4C2312yes—
262C23×D4C2314yes—
263C23×D4C2311yescharacteristic
264C24×C4C2314yes—
265#554—44no—
266#550—44no—
267D42—216no—
268#543—48no—
269#538—416no—
270#535—28no—
271#534—48no—
272C2×C4⋊Q8C2311yescharacteristic
273C2×C4⋊Q8C2312yes—
274C2×#127C2312yes—
275C2×#127C2312yes—
276C2×#127C2311yescharacteristic
277C2×#127C2312yes—
278C2×#126C2314yes—
279C2×#126C2314yes—
280C2×#125C2312yes—
281C2×#124C2312yes—
282C2×#124C2312yes—
283C2×#124C2314yes—
284C2×#124C2314yes—
285#525—416no—
286C2×#123C2312yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2311yescharacteristic
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2314yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2311yescharacteristic
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327C2×#120C2314yes—
328C2×#120C2314yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332#518—44no—
333C4×#41—44no—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×D4—48no—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2314yes—
368C2×#117C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C22⋊C4C2314yes—
372C22×C22⋊C4C2314yes—
373C22×C22⋊C4C2314yes—
374C22×C22⋊C4C2314yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C42C2312yes—
378C22×C42C2312yes—
379C22×C42C2311yescharacteristic
380#401C2312yes—
381#400C2314yes—
382#400C2312yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2312yes—
389#400C2312yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#399C2314yes—
396#399C2314yes—
397#399C2312yes—
398#399C2314yes—
399#398C2312yes—
400#398C2314yes—
401#398C2314yes—
402#398C2312yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2312yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2312yes—
416#397C2312yes—
417#397C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2312yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2312yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
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#394C2312yes—
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#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2311yescharacteristic
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2312yes—
502#390C2312yes—
503#390C2314yes—
504#390C2314yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#387C2314yes—
572#387C2312yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2312yes—
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#386C2312yes—
623#386C2314yes—
624#386C2312yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2312yes—
629#386C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2312yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2312yes—
648#385C2312yes—
649#385C2312yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2312yes—
654#385C2312yes—
655#384C2311yescharacteristic
656#384C2312yes—
657#384C2311yescharacteristic
658#382C2312yes—
659#382C2312yes—
660#381C2312yes—
661#381C2314yes—
662#381C2314yes—
663#380C2311yescharacteristic
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2314yes—
672#380C2314yes—
673#380C2312yes—
674#380C2314yes—
675#380C2314yes—
676#380C2314yes—
677#380C2314yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2311yescharacteristic
682#379C2314yes—
683#379C2314yes—
684#379C2314yes—
685#379C2314yes—
686#379C2314yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2311yescharacteristic
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720#376C2312yes—
721C2×#95C2314yes—
722C2×#95C2314yes—
723C25C2414yes—
724C25C2412yes—
725C2×#41—28no—
726C2×#41—24no—
727C2×#41—44no—
728C2×#41—42no—
729C2×#41—42no—
730C2×#41—82no—
731C22×Q8C2411yescharacteristic
732C22×Q8C2412yes—
733C22×Q8C2414yes—
734C22×Q8C2411yescharacteristic
735C22×D4—216no—
736C22×D4—28no—
737C22×D4—44no—
738C22×D4—42no—
739C22×D4—42no—
740C22×D4—44no—
741C22×D4—48no—
742C22×D4—84no—
743C22×D4#4118yescomplemented
744C22×D4C2412yes—
745C22×D4C2411yescharacteristic
746C22×D4C2414yes—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2412yes—
763C22×D4C2411yescharacteristic
764C23×C4—48no—
765C23×C4—48no—
766C23×C4—84no—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2414yes—
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773C23×C4C2412yes—
774C23×C4C2414yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2414yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C4⋊Q8—44no—
786C4⋊Q8—42no—
787#127—28no—
788#127—28no—
789#127—44no—
790#127—42no—
791#126—48no—
792#126—48no—
793#125—44no—
794#124—28no—
795#124—44no—
796#124—48no—
797#124—48no—
798#123—28no—
799#123—48no—
800#123—48no—
801#123—48no—
802#123—48no—
803#123—48no—
804#123—84no—
805C22⋊Q8—28no—
806C22⋊Q8—216no—
807C22⋊Q8—24no—
808C22⋊Q8—48no—
809C22⋊Q8—48no—
810C22⋊Q8—48no—
811C22⋊Q8—48no—
812C22⋊Q8—44no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815C22⋊Q8—44no—
816C22⋊Q8—84no—
817#121—28no—
818#121—28no—
819#121—28no—
820#121—216no—
821#121—24no—
822#121—28no—
823#121—28no—
824#121—44no—
825#121—44no—
826#121—48no—
827#121—48no—
828#121—48no—
829#121—44no—
830#121—44no—
831#121—48no—
832#121—48no—
833#121—48no—
834#121—82no—
835#121—84no—
836#120—216no—
837#120—216no—
838#120—216no—
839#120—216no—
840#120—48no—
841#120—48no—
842#120—48no—
843#120—48no—
844C4×Q8—24no—
845C4×Q8—42no—
846C4×Q8—42no—
847C4×D4—28no—
848C4×D4—28no—
849C4×D4—28no—
850C4×D4—28no—
851C4×D4—24no—
852C4×D4—44no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—44no—
856C4×D4—44no—
857C4×D4—42no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—42no—
862C4×D4—48no—
863C4×D4—48no—
864C4×D4—44no—
865C4×D4—48no—
866C4×D4—48no—
867C4×D4—48no—
868C4×D4—48no—
869C4×D4—48no—
870C4×D4—48no—
871C4×D4—84no—
872#117—24no—
873#117—24no—
874#117—42no—
875#117—44no—
876#117—48no—
877#117—82no—
878C2×C4⋊C4—28no—
879C2×C4⋊C4—42no—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C22⋊C4—48no—
932C2×C22⋊C4—48no—
933C2×C22⋊C4—44no—
934C2×C22⋊C4—48no—
935C2×C22⋊C4—44no—
936C2×C22⋊C4—48no—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C42—44no—
1001C2×C42—44no—
1002C2×C42—42no—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2411yescharacteristic
1022#95C2412yes—
1023#95C2412yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074C24—28no—
1075C24—28no—
1076C24—44no—
1077C24—44no—
1078C24—44no—
1079C24—42no—
1080C24—42no—
1081C24—42no—
1082C24—42no—
1083C24—42no—
1084C24—42no—
1085C24—44no—
1086C24—44no—
1087C24C2×#4118yes—
1088C24C2514yes—
1089C24C2512yes—
1090C24C2511yescharacteristic
1091C24C2514yes—
1092C24C2512yes—
1093#41—416no—
1094#41—816no—
1095C2×Q8—22no—
1096C2×Q8—22no—
1097C2×Q8—22no—
1098C2×Q8—41no—
1099C2×Q8—41no—
1100C2×Q8—44no—
1101C2×Q8—42no—
1102C2×Q8—42no—
1103C2×Q8—44no—
1104C2×Q8—42no—
1105C2×Q8—44no—
1106C2×Q8H(5,𝔽2)14yes—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—24no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—22no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—22no—
1125C2×D4—24no—
1126C2×D4—28no—
1127C2×D4—24no—
1128C2×D4—22no—
1129C2×D4—24no—
1130C2×D4—416no—
1131C2×D4—41no—
1132C2×D4—42no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—44no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—42no—
1139C2×D4—41no—
1140C2×D4—42no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—42no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—42no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—42no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—42no—
1163C2×D4—44no—
1164C2×D4—42no—
1165C2×D4—432no—
1166C2×D4—832no—
1167C2×D4C2×#4118yes—
1168C2×D4C2×#4118yes—
1169C2×D4H(5,𝔽2)14yes—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—28no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—28no—
1179C22×C4—28no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—28no—
1186C22×C4—28no—
1187C22×C4—28no—
1188C22×C4—24no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—44no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—41no—
1197C22×C4—42no—
1198C22×C4—41no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—41no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—42no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—44no—
1218C22×C4—42no—
1219C22×C4—44no—
1220C22×C4—42no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—832no—
1224C22×C4C2×#4114yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2514yes—
1240C22×C4C2514yes—
1241C22×C4C2514yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—28no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—28no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—42no—
1272C4⋊C4—41no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—42no—
1279C4⋊C4—41no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—41no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—41no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4H(5,𝔽2)14yes—
1300C22⋊C4—24no—
1301C22⋊C4—28no—
1302C22⋊C4—24no—
1303C22⋊C4—28no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—24no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—28no—
1314C22⋊C4—24no—
1315C22⋊C4—28no—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—28no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
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—44no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C42—24no—
1364C42—24no—
1365C42—24no—
1366C42—24no—
1367C42—24no—
1368C42—22no—
1369C42—24no—
1370C42—22no—
1371C42—24no—
1372C42—41no—
1373C42—41no—
1374C42—42no—
1375C42—42no—
1376C42—42no—
1377C42—44no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
1381C42—44no—
1382C23—22no—
1383C23—21no—
1384C23—24no—
1385C23—21no—
1386C23—22no—
1387C23—24no—
1388C23—24no—
1389C23—22no—
1390C23—21no—
1391C23—24no—
1392C23—21no—
1393C23—22no—
1394C23—24no—
1395C23—22no—
1396C23—21no—
1397C23—21no—
1398C23—22no—
1399C23—24no—
1400C23—24no—
1401C23—22no—
1402C23—24no—
1403C23—22no—
1404C23—24no—
1405C23—24no—
1406C23—22no—
1407C23—22no—
1408C23—24no—
1409C23—22no—
1410C23—22no—
1411C23—24no—
1412C23—24no—
1413C23—22no—
1414C23—48no—
1415C23—48no—
1416C23—48no—
1417C23—416no—
1418C23—416no—
1419C23—88no—
1420C23—88no—
1421C23—88no—
1422C23—88no—
1423C23—88no—
1424C23—162no—
1425C23—162no—
1426C23—162no—
1427C23—162no—
1428C23C22×#4118yes—
1429C23C22×#4112yes—
1430C23C2×H(5,𝔽2)14yes—
1431C23C2611yescharacteristic
1432Q8—44no—
1433Q8—44no—
1434Q8—164no—
1435Q8—162no—
1436D4—216no—
1437D4—48no—
1438D4—44no—
1439D4—416no—
1440D4—48no—
1441D4—416no—
1442D4—48no—
1443D4—48no—
1444D4—44no—
1445D4—88no—
1446D4—84no—
1447D4—88no—
1448D4—88no—
1449D4—88no—
1450D4—88no—
1451D4—88no—
1452D4—88no—
1453D4—88no—
1454D4—164no—
1455D4—162no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—28no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—21no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—416no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—48no—
1525C2×C4—48no—
1526C2×C4—82no—
1527C2×C4—84no—
1528C2×C4—82no—
1529C2×C4—88no—
1530C2×C4—88no—
1531C2×C4—88no—
1532C2×C4—84no—
1533C2×C4—88no—
1534C2×C4—88no—
1535C2×C4—164no—
1536C2×C4—162no—
1537C2×C4—164no—
1538C2×C4C22×#4112yes—
1539C2×C4C22×#4112yes—
1540C2×C4C2×H(5,𝔽2)14yes—
1541C2×C4C2×H(5,𝔽2)12yes—
1542C2×C4C2×H(5,𝔽2)12yes—
1543C2×C4C2×H(5,𝔽2)14yes—
1544C2×C4C2×H(5,𝔽2)12yes—
1545C2×C4#58512yes—
1546C22—28no—
1547C22—24no—
1548C22—22no—
1549C22—28no—
1550C22—22no—
1551C22—24no—
1552C22—24no—
1553C22—22no—
1554C22—28no—
1555C22—42no—
1556C22—41no—
1557C22—44no—
1558C22—42no—
1559C22—44no—
1560C22—41no—
1561C22—42no—
1562C22—44no—
1563C22—41no—
1564C22—41no—
1565C22—44no—
1566C22—42no—
1567C22—42no—
1568C22—44no—
1569C22—42no—
1570C22—44no—
1571C22—42no—
1572C22—44no—
1573C22—42no—
1574C22—44no—
1575C22—44no—
1576C22—42no—
1577C22—42no—
1578C22—44no—
1579C22—42no—
1580C22—44no—
1581C22—832no—
1582C22—168no—
1583C22C23×#4111yescharacteristic
1584C22C22×H(5,𝔽2)11yescharacteristic
1585C22C22×H(5,𝔽2)11yescharacteristic
1586C22C22×H(5,𝔽2)11yescharacteristic
1587C22C2×#58511yescharacteristic
1588C22H(7,𝔽2)11yescharacteristic
1589C222−1+611yescharacteristic
1590C4—24no—
1591C4—24no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—42no—
1596C4—44no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—44no—
1602C4—44no—
1603C4—42no—
1604C4—42no—
1605C4—44no—
1606C4—41no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—41no—
1611C4—42no—
1612C4—42no—
1613C4#345914yes—
1614C2—44no—
1615C2—48no—
1616C2—42no—
1617C2—82no—
1618C2—84no—
1619C2C2×#345911yescharacteristic
1620C2#6289211yescharacteristic
1621C2#6289511yescharacteristic
1622C2#6298311yescharacteristic
1623C2#6298411yescharacteristic
1624C2#6301411yescharacteristic
1625C2#6305611yescharacteristic
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. #52279C2semidirect
2. #52163C2semidirect
3. #42612C2semidirect
4. #42575C2semidirect
5. #42422C2semidirect
6. #42111C2semidirect
7. #41033C2semidirect
8. #40947C2semidirect
9. #40069C2semidirect
10. #39452C2semidirect
11. #39428C2semidirect
12. #39401C2semidirect
13. #39367C2semidirect
14. #39358C2semidirect
15. #38780C2semidirect
16. #37752C2semidirect
17. #37346C2semidirect
18. #37315C2semidirect
19. #37155C2semidirect
20. #36901C2semidirect
21. #36528C2semidirect
22. #36492C2semidirect
23. #36410C2semidirect
24. #36101C2semidirect
25. #35989C2semidirect
26. #35916C2semidirect
27. #35860C2semidirect
28. #34290C2semidirect
29. #34269C2semidirect
30. C2×#554C22semidirect
31. C2×#550C22semidirect
33. C2×#543C22semidirect
34. C2×#538C22semidirect
37. C2×#525C22semidirect
39. C2×C4×#41C22semidirect
40. C22×C4×D4C22semidirect
41. #2857C22semidirect
43. #2856C22semidirect
44. #2855C22semidirect
45. #2854C22semidirect
46. #2851C22semidirect
47. #2848C22semidirect
48. #2847C22semidirect
49. #2824C22semidirect
50. #2824C22semidirect
51. #2812C22semidirect
52. #2810C22semidirect
53. #2809C22semidirect
54. #2808C22semidirect
55. #2797C22semidirect
56. #2787C22semidirect
57. #2787C22semidirect
58. #2786C22semidirect
59. #2784C22semidirect
60. #2778C22semidirect
61. #2771C22semidirect
62. #2750C22semidirect
63. #2747C22semidirect
64. #2739C22semidirect
65. #2732C22semidirect
66. #2732C22semidirect
67. #2732C22semidirect
68. #2728C22semidirect
69. #2728C22semidirect
70. #2727C22semidirect
71. #2724C22semidirect
72. #2724C22semidirect
74. #2708C22semidirect
75. #2708C22semidirect
76. #2697C22semidirect
77. #2696C22semidirect
78. #2696C22semidirect
79. #2696C22semidirect
80. #2696C22semidirect
81. #2695C22semidirect
82. #2693C22semidirect
83. #2692C22semidirect
84. #2691C22semidirect
85. #2688C22semidirect
86. #2688C22semidirect
87. #2686C22semidirect
88. #2685C22semidirect
89. #2684C22semidirect
90. #2683C22semidirect
92. #2681C22semidirect
93. #2681C22semidirect
96. #2676C22semidirect
97. #2676C22semidirect
98. #2671C22semidirect
99. #2668C22semidirect
100. #2668C22semidirect
101. #2668C22semidirect
102. #2653C22semidirect
103. #2652C22semidirect
104. #2650C22semidirect
105. #2649C22semidirect
106. #2648C22semidirect
107. #2644C22semidirect
108. #2640C22semidirect
109. #2639C22semidirect
110. #2635C22semidirect
111. #2630C22semidirect
112. #2626C22semidirect
113. #2624C22semidirect
114. #2622C22semidirect
116. #2617C22semidirect
117. #2613C22semidirect
118. #2597C22semidirect
119. #2595C22semidirect
120. #2582C22semidirect
121. #2563C22semidirect
122. #2562C22semidirect
123. #2561C22semidirect
124. #2560C22semidirect
125. #2559C22semidirect
126. #2557C22semidirect
127. #2553C22semidirect
128. #2548C22semidirect
130. #2542C22semidirect
132. #2538C22semidirect
133. #2537C22semidirect
135. #2534C22semidirect
136. #2522C22semidirect
137. #2521C22semidirect
138. #2516C22semidirect
139. #2513C22semidirect
140. #2512C22semidirect
141. #2511C22semidirect
142. #2509C22semidirect
143. #2507C22semidirect
144. #2496C22semidirect
145. #2491C22semidirect
146. #2491C22semidirect
147. #2488C22semidirect
148. #2477C22semidirect
149. #2477C22semidirect
150. #2477C22semidirect
151. #2476C22semidirect
152. #2472C22semidirect
153. #2472C22semidirect
154. #2470C22semidirect
155. #2467C22semidirect
156. #2466C22semidirect
157. #2464C22semidirect
158. #2463C22semidirect
159. #2463C22semidirect
160. #2463C22semidirect
161. #2460C22semidirect
162. #2460C22semidirect
163. #2456C22semidirect
164. #2456C22semidirect
165. #2452C22semidirect
166. #2452C22semidirect
167. #2452C22semidirect
168. #2450C22semidirect
169. #2450C22semidirect
170. #2447C22semidirect
172. #2445C22semidirect
173. #2445C22semidirect
174. #2445C22semidirect
175. #2445C22semidirect
176. #2440C22semidirect
177. #2437C22semidirect
178. #2435C22semidirect
180. #2433C22semidirect
181. #2431C22semidirect
184. #2427C22semidirect
185. #2427C22semidirect
186. #2427C22semidirect
187. #2425C22semidirect
188. #2425C22semidirect
189. #2424C22semidirect
190. #2424C22semidirect
192. #2421C22semidirect
193. #2419C22semidirect
195. #2414C22semidirect
196. #2414C22semidirect
198. #2410C22semidirect
200. #2407C22semidirect
201. #2407C22semidirect
202. #2407C22semidirect
203. #2402C22semidirect
204. #2401C22semidirect
205. #2395C22semidirect
206. #2395C22semidirect
207. #2395C22semidirect
208. #2392C22semidirect
209. #2369C22semidirect
210. #2367C22semidirect
211. #2367C22semidirect
212. #2367C22semidirect
214. #2366C22semidirect
215. #2366C22semidirect
216. #2364C22semidirect
217. #2363C22semidirect
219. #2361C22semidirect
220. #2361C22semidirect
221. #2358C22semidirect
222. #2358C22semidirect
223. #2358C22semidirect
224. #2358C22semidirect
225. #2355C22semidirect
226. #2354C22semidirect
227. #2354C22semidirect
228. #2352C22semidirect
229. #2349C22semidirect
230. #2345C22semidirect
232. D4×C22⋊C4C22semidirect
233. D4×C22⋊C4C22semidirect
234. #2329C22semidirect
236. #2325C22semidirect
237. #2324C22semidirect
238. #2324C22semidirect
239. #2324C22semidirect
240. #2321C22semidirect
241. #2311C22semidirect
242. C4×C22⋊Q8C22semidirect
243. C4×C22⋊Q8C22semidirect
244. C4×#123C22semidirect
247. C4×#121C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
250. C4×#120C22semidirect
251. C4×#120C22semidirect
252. #2297C22semidirect
253. #2296C22semidirect
255. #2290C22semidirect
256. C2×#386C22semidirect
257. #2275C22semidirect
258. #2274C22semidirect
743. C22×D4#41semidirect

Maximal subgroups

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

subgroupindex
#522792
#521632
#426122
#425752
#424222
#421112
#410332
#409472
#400692
#394522
#394282
#394012
#393672
#393582
#387802
#377522
#373462
#373152
#371552
#369012
#365282
#364922
#364102
#361012
#359892
#359162
#358602
#342902
#342692