Finite Group Databasebeta

← #7660773

Subgroups — #7660773

Order 512.

5678 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52281C211yesmaximal, characteristic, complemented
2#52169C212yesmaximal, complemented
3#42642C212yesmaximal, complemented
4#42556C212yesmaximal, complemented
5#42422C212yesmaximal, complemented
6#42096C214yesmaximal, complemented
7#41029C214yesmaximal, complemented
8#40960C214yesmaximal, complemented
9#40165C212yesmaximal, complemented
10#39452C212yesmaximal, complemented
11#39420C214yesmaximal, complemented
12#39405C212yesmaximal, complemented
13#39367C211yesmaximal, characteristic, complemented
14#39358C211yesmaximal, characteristic, complemented
15#38761C212yesmaximal, complemented
16#37778C214yesmaximal, complemented
17#37343C212yesmaximal, complemented
18#37315C211yesmaximal, characteristic, complemented
19#37154C212yesmaximal, complemented
20#36873C214yesmaximal, complemented
21#36507C212yesmaximal, complemented
22#36493C211yesmaximal, characteristic, complemented
23#36411C211yesmaximal, characteristic, complemented
24#36115C212yesmaximal, complemented
25#36004C212yesmaximal, complemented
26#36000C212yesmaximal, complemented
27#35808C212yesmaximal, complemented
28#34310C212yesmaximal, complemented
29#34269C211yesmaximal, characteristic, complemented
30C2×#559C2211yescharacteristic, complemented
31C2×#555C2211yescharacteristic, complemented
32C2×D42C2212yes—
33C2×#543C2212yescomplemented
34C2×#538C2214yescomplemented
35C2×#535C2211yescharacteristic
36C2×#534C2212yes—
37C2×#529C2214yescomplemented
38C2×#518C2211yescharacteristic
39C2×#518C2212yescomplemented
40C2×C4×#41C2211yescharacteristic, complemented
41#2863C2212yescomplemented
42#2858C2212yescomplemented
43#2857C2211yescharacteristic, complemented
44#2856C2211yescharacteristic
45#2854C2212yescomplemented
46#2853C2214yescomplemented
47#2850C2214yescomplemented
48#2850C2212yescomplemented
49#2827C2214yescomplemented
50#2826C2214yescomplemented
51#2812C2214yescomplemented
52#2808C2212yescomplemented
53#2808C2211yescharacteristic, complemented
54#2805C2211yescharacteristic, complemented
55#2786C2214yescomplemented
56#2786C2212yescomplemented
57#2780C2214yescomplemented
58#2777C2212yescomplemented
59#2773C2212yescomplemented
60#2770C2212yescomplemented
61#2757C2214yescomplemented
62#2756C2214yescomplemented
63#2749C2214yescomplemented
64#2737C2214yescomplemented
65#2735C2214yescomplemented
66#2732C2212yescomplemented
67#2732C2212yescomplemented
68#2730C2214yescomplemented
69#2730C2214yescomplemented
70#2727C2211yescharacteristic, complemented
71#2727C2212yescomplemented
72#2726C2211yescharacteristic, complemented
73#2724C2212yescomplemented
74#2723C2214yescomplemented
75#2723C2212yescomplemented
76#2715C2214yescomplemented
77#2714C2214yescomplemented
78#2714C2214yescomplemented
79#2711C2212yes—
80#2707C2214yescomplemented
81#2705C2214yescomplemented
82#2702C2214yescomplemented
83#2695C2214yescomplemented
84#2692C2214yescomplemented
85#2691C2214yescomplemented
86#2688C2214yescomplemented
87#2686C2214yescomplemented
88#2685C2214yescomplemented
89#2683C2212yescomplemented
90#2682C2212yes—
91#2681C2214yescomplemented
92#2681C2214yescomplemented
93#2679C2212yes—
94#2678C2214yes—
95#2678C2214yescomplemented
96#2676C2214yescomplemented
97#2676C2214yescomplemented
98#2671C2214yescomplemented
99#2670C2214yescomplemented
100#2668C2214yescomplemented
101#2668C2214yescomplemented
102#2651C2214yescomplemented
103#2649C2214yescomplemented
104#2638C2214yescomplemented
105#2631C2214yescomplemented
106#2631C2214yescomplemented
107#2630C2214yescomplemented
108#2630C2214yescomplemented
109#2626C2212yescomplemented
110#2626C2214yescomplemented
111#2624C2212yescomplemented
112#2624C2212yescomplemented
113#2620C2212yescomplemented
114#2618C2214yescomplemented
115#2617C2212yes—
116#2617C2214yescomplemented
117#2613C2214yescomplemented
118#2598C2214yescomplemented
119#2578C2214yescomplemented
120#2577C2214yescomplemented
121#2567C2211yescharacteristic, complemented
122#2560C2214yescomplemented
123#2560C2214yescomplemented
124#2544C2212yes—
125#2542C2212yescomplemented
126#2541C2212yes—
127#2541C2211yescharacteristic, complemented
128#2540C2214yescomplemented
129#2540C2212yescomplemented
130#2538C2211yescharacteristic, complemented
131#2538C2211yescharacteristic, complemented
132#2538C2212yescomplemented
133#2535C2212yescomplemented
134#2534C2214yescomplemented
135#2525C2214yescomplemented
136#2523C2214yescomplemented
137#2521C2214yescomplemented
138#2518C2214yescomplemented
139#2515C2214yescomplemented
140#2512C2212yescomplemented
141#2512C2212yescomplemented
142#2512C2212yescomplemented
143#2507C2212yescomplemented
144#2507C2212yescomplemented
145#2497C2212yescomplemented
146#2492C2212yescomplemented
147#2491C2212yescomplemented
148#2485C2212yescomplemented
149#2476C2214yescomplemented
150#2474C2214yescomplemented
151#2472C2214yescomplemented
152#2472C2214yescomplemented
153#2472C2214yescomplemented
154#2472C2214yescomplemented
155#2471C2214yescomplemented
156#2471C2214yescomplemented
157#2471C2214yescomplemented
158#2467C2214yescomplemented
159#2467C2214yescomplemented
160#2466C2214yescomplemented
161#2461C2214yescomplemented
162#2461C2214yescomplemented
163#2458C2214yescomplemented
164#2457C2214yescomplemented
165#2456C2214yescomplemented
166#2456C2214yescomplemented
167#2452C2212yescomplemented
168#2452C2212yescomplemented
169#2452C2212yescomplemented
170#2449C2214yescomplemented
171#2449C2214yescomplemented
172#2448C2212yescomplemented
173#2447C2212yescomplemented
174#2447C2212yescomplemented
175#2445C2212yes—
176#2445C2212yescomplemented
177#2445C2212yescomplemented
178#2440C2212yescomplemented
179#2437C2214yescomplemented
180#2435C2212yescomplemented
181#2433C2212yes—
182#2433C2212yescomplemented
183#2431C2212yescomplemented
184#2428C2212yes—
185#2428C2212yescomplemented
186#2427C2212yes—
187#2427C2214yescomplemented
188#2426C2214yescomplemented
189#2426C2214yescomplemented
190#2424C2214yescomplemented
191#2424C2214yescomplemented
192#2424C2214yescomplemented
193#2422C2212yes—
194#2422C2212yescomplemented
195#2418C2214yescomplemented
196#2416C2212yes—
197#2414C2212yes—
198#2411C2214yescomplemented
199#2410C2214yes—
200#2410C2214yescomplemented
201#2408C2212yes—
202#2407C2212yescomplemented
203#2396C2212yescomplemented
204#2396C2214yescomplemented
205#2395C2212yescomplemented
206#2395C2212yescomplemented
207#2392C2214yescomplemented
208#2392C2214yescomplemented
209#2367C2212yescomplemented
210#2367C2212yescomplemented
211#2366C2212yes—
212#2366C2212yescomplemented
213#2366C2212yescomplemented
214#2366C2212yescomplemented
215#2365C2212yescomplemented
216#2363C2212yes—
217#2363C2212yescomplemented
218#2363C2212yescomplemented
219#2362C2212yescomplemented
220#2361C2214yescomplemented
221#2358C2214yescomplemented
222#2358C2214yescomplemented
223#2358C2214yescomplemented
224#2358C2214yescomplemented
225#2355C2211yescharacteristic, complemented
226#2354C2212yescomplemented
227#2354C2211yescharacteristic, complemented
228#2354C2212yescomplemented
229D4×C4⋊C4C2212yescomplemented
230#2347C2212yescomplemented
231D4×C22⋊C4C2212yes—
232D4×C22⋊C4C2214yescomplemented
233D4×C22⋊C4C2212yescomplemented
234#2324C2212yes—
235#2324C2212yescomplemented
236#2324C2212yescomplemented
237#2324C2212yescomplemented
238#2322C2214yescomplemented
239#2321C2214yescomplemented
240#2321C2214yescomplemented
241#2311C2211yescharacteristic, complemented
242C4×#127C2212yes—
243C4×#125C2212yescomplemented
244C4×#126C2212yescomplemented
245C4×C22⋊Q8C2211yescharacteristic, complemented
246C4×C22⋊Q8C2214yescomplemented
247C4×#121C2211yescharacteristic
248C4×#121C2214yescomplemented
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251C4×#121C2212yescomplemented
252#2296C2211yescharacteristic, complemented
253#2296C2212yescomplemented
254#2293C2212yescomplemented
255C2×#390C2211yescharacteristic
256C2×#390C2214yescomplemented
257#2274C2211yescharacteristic, complemented
258C42×D4C2212yescomplemented
259C22×#41C2311yescharacteristic
260C23×D4C2312yes—
261C23×D4C2314yes—
262C23×D4C2311yescharacteristic
263#559—44no—
264#555—44no—
265D42—216no—
266#543—48no—
267#538—416no—
268#535—28no—
269#534—48no—
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2312yes—
272C2×#127C2312yes—
273C2×#127C2312yes—
274C2×#127C2311yescharacteristic
275C2×#127C2312yes—
276#529—416no—
277C2×#126C2312yes—
278C2×#126C2314yes—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#125C2312yes—
282C2×#124C2312yes—
283C2×#124C2314yes—
284C2×#124C2312yes—
285C2×#124C2314yes—
286C2×#124C2312yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2311yescharacteristic
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2314yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2311yescharacteristic
312C2×#121C2312yes—
313C2×#121C2314yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327C2×#120C2314yes—
328C2×#120C2314yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332#518—44no—
333#518—48no—
334C4×#41—44no—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2314yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2314yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2314yes—
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2314yes—
374C22×C22⋊C4C2314yes—
375C22×C22⋊C4C2314yes—
376C22×C22⋊C4C2314yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C42C2314yes—
382C22×C42C2312yes—
383C22×C42C2311yescharacteristic
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2312yes—
388#400C2312yes—
389#399C2314yes—
390#399C2314yes—
391#399C2314yes—
392#399C2312yes—
393#399C2314yes—
394#399C2314yes—
395#399C2312yes—
396#399C2312yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2312yes—
402#398C2312yes—
403#398C2312yes—
404#398C2312yes—
405#398C2314yes—
406#397C2312yes—
407#397C2314yes—
408#397C2312yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2312yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2312yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2312yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2312yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2312yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#390C2314yes—
500#390C2314yes—
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2312yes—
506#390C2314yes—
507#390C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2314yes—
515#390C2312yes—
516#390C2314yes—
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#384C2312yes—
660#384C2311yescharacteristic
661#384C2311yescharacteristic
662#384C2312yes—
663#383C2312yes—
664#383C2314yes—
665#383C2314yes—
666#382C2312yes—
667#382C2312yes—
668#381C2314yes—
669#381C2314yes—
670#380C2312yes—
671#380C2312yes—
672#380C2314yes—
673#380C2314yes—
674#380C2312yes—
675#380C2312yes—
676#380C2314yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2311yescharacteristic
681#380C2314yes—
682#380C2311yescharacteristic
683#380C2312yes—
684#379C2314yes—
685#379C2314yes—
686#379C2314yes—
687#379C2314yes—
688#379C2314yes—
689C4×C4⋊C4C2311yescharacteristic
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2312yes—
722C43C2312yes—
723C25C2414yes—
724C25C2412yes—
725C2×#41—24no—
726C2×#41—42no—
727C2×#41—42no—
728C22×Q8C2411yescharacteristic
729C22×Q8C2411yescharacteristic
730C22×Q8C2414yes—
731C22×Q8C2412yes—
732C22×D4—216no—
733C22×D4—28no—
734C22×D4—42no—
735C22×D4—44no—
736C22×D4—42no—
737C22×D4—44no—
738C22×D4—48no—
739C22×D4—84no—
740C22×D4#4118yes—
741C22×D4C2412yes—
742C22×D4C2411yescharacteristic
743C22×D4C2414yes—
744C22×D4C2412yes—
745C22×D4C2412yes—
746C22×D4C2412yes—
747C22×D4C2414yes—
748C22×D4C2411yescharacteristic
749C22×D4C2414yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2412yes—
761C23×C4C2412yes—
762C23×C4C2414yes—
763C23×C4C2412yes—
764C23×C4C2411yescharacteristic
765C23×C4C2414yes—
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C23×C4C2414yes—
769C23×C4C2414yes—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2412yes—
775C23×C4C2414yes—
776C4⋊Q8—44no—
777C4⋊Q8—42no—
778#127—28no—
779#127—28no—
780#127—44no—
781#127—42no—
782#126—28no—
783#126—48no—
784#126—48no—
785#126—48no—
786#125—28no—
787#124—28no—
788#124—48no—
789#124—48no—
790#124—44no—
791#124—48no—
792#124—44no—
793#124—48no—
794#123—216no—
795#123—48no—
796#123—48no—
797#123—48no—
798#123—48no—
799#123—48no—
800C22⋊Q8—216no—
801C22⋊Q8—24no—
802C22⋊Q8—48no—
803C22⋊Q8—48no—
804C22⋊Q8—48no—
805C22⋊Q8—48no—
806C22⋊Q8—44no—
807C22⋊Q8—44no—
808C22⋊Q8—48no—
809C22⋊Q8—84no—
810C22⋊Q8—82no—
811#121—28no—
812#121—28no—
813#121—28no—
814#121—216no—
815#121—28no—
816#121—24no—
817#121—28no—
818#121—44no—
819#121—44no—
820#121—48no—
821#121—48no—
822#121—48no—
823#121—44no—
824#121—48no—
825#121—44no—
826#121—82no—
827#121—84no—
828#121—82no—
829#120—216no—
830#120—216no—
831#120—216no—
832#120—48no—
833#120—48no—
834#120—48no—
835#120—48no—
836#120—84no—
837C4×Q8—24no—
838C4×Q8—42no—
839C4×Q8—48no—
840C4×Q8—42no—
841C4×D4—28no—
842C4×D4—28no—
843C4×D4—24no—
844C4×D4—28no—
845C4×D4—28no—
846C4×D4—44no—
847C4×D4—44no—
848C4×D4—48no—
849C4×D4—48no—
850C4×D4—44no—
851C4×D4—42no—
852C4×D4—44no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—48no—
856C4×D4—44no—
857C4×D4—48no—
858C4×D4—42no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—48no—
862C4×D4—48no—
863C4×D4—48no—
864C4×D4—84no—
865#117—24no—
866#117—24no—
867#117—28no—
868#117—28no—
869#117—42no—
870#117—44no—
871#117—44no—
872#117—44no—
873#117—48no—
874C2×C4⋊C4—42no—
875C2×C4⋊C4—84no—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C22⋊C4—48no—
931C2×C22⋊C4—48no—
932C2×C22⋊C4—48no—
933C2×C22⋊C4—44no—
934C2×C22⋊C4—48no—
935C2×C22⋊C4—48no—
936C2×C22⋊C4—44no—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C42—44no—
1004C2×C42—42no—
1005C2×C42—48no—
1006C2×C42C2412yes—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2414yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074C24—28no—
1075C24—42no—
1076C24—42no—
1077C24—44no—
1078C24—42no—
1079C24—42no—
1080C24—44no—
1081C24—42no—
1082C24—42no—
1083C24—44no—
1084C24—44no—
1085C24—44no—
1086C24—44no—
1087C24C2×#4118yes—
1088C24C2512yes—
1089C24C2514yes—
1090C24C2512yes—
1091C24C2511yescharacteristic
1092C24C2514yes—
1093#41—416no—
1094C2×Q8—22no—
1095C2×Q8—22no—
1096C2×Q8—22no—
1097C2×Q8—28no—
1098C2×Q8—22no—
1099C2×Q8—44no—
1100C2×Q8—41no—
1101C2×Q8—41no—
1102C2×Q8—44no—
1103C2×Q8—42no—
1104C2×Q8—42no—
1105C2×Q8—42no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—24no—
1116C2×D4—22no—
1117C2×D4—24no—
1118C2×D4—22no—
1119C2×D4—24no—
1120C2×D4—28no—
1121C2×D4—24no—
1122C2×D4—22no—
1123C2×D4—24no—
1124C2×D4—28no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—22no—
1128C2×D4—416no—
1129C2×D4—42no—
1130C2×D4—44no—
1131C2×D4—42no—
1132C2×D4—44no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—41no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—42no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—41no—
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—44no—
1161C2×D4—42no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—42no—
1165C2×D4—432no—
1166C2×D4—832no—
1167C2×D4C2×#4118yes—
1168C2×D4C2×#4118yes—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—28no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—28no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—28no—
1180C22×C4—22no—
1181C22×C4—28no—
1182C22×C4—22no—
1183C22×C4—28no—
1184C22×C4—24no—
1185C22×C4—42no—
1186C22×C4—44no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—41no—
1190C22×C4—42no—
1191C22×C4—44no—
1192C22×C4—41no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
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—42no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—42no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4C2×#4114yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2514yes—
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—41no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—41no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—41no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4H(5,𝔽2)14yes—
1290C4⋊C4H(5,𝔽2)14yes—
1291C4⋊C4H(5,𝔽2)14yes—
1292C22⋊C4—24no—
1293C22⋊C4—28no—
1294C22⋊C4—24no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—24no—
1299C22⋊C4—28no—
1300C22⋊C4—24no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C42—24no—
1359C42—24no—
1360C42—24no—
1361C42—24no—
1362C42—28no—
1363C42—22no—
1364C42—24no—
1365C42—22no—
1366C42—28no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—41no—
1372C42—41no—
1373C42—44no—
1374C42—42no—
1375C42—44no—
1376C42—42no—
1377C42—44no—
1378C42—44no—
1379C42—42no—
1380C23—21no—
1381C23—24no—
1382C23—21no—
1383C23—24no—
1384C23—24no—
1385C23—21no—
1386C23—24no—
1387C23—21no—
1388C23—24no—
1389C23—21no—
1390C23—21no—
1391C23—24no—
1392C23—22no—
1393C23—24no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—24no—
1399C23—24no—
1400C23—22no—
1401C23—24no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—24no—
1406C23—22no—
1407C23—24no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—24no—
1413C23—48no—
1414C23—48no—
1415C23—48no—
1416C23—416no—
1417C23—88no—
1418C23—88no—
1419C23—162no—
1420C23—164no—
1421C23—162no—
1422C23—164no—
1423C23—162no—
1424C23—164no—
1425C23—162no—
1426C23—164no—
1427C23C22×#4118yes—
1428C23C22×#4112yes—
1429C23C2611yescharacteristic
1430Q8—44no—
1431Q8—88no—
1432Q8—82no—
1433Q8—162no—
1434D4—216no—
1435D4—48no—
1436D4—416no—
1437D4—48no—
1438D4—416no—
1439D4—48no—
1440D4—48no—
1441D4—44no—
1442D4—88no—
1443D4—82no—
1444D4—84no—
1445D4—88no—
1446D4—88no—
1447D4—88no—
1448D4—88no—
1449D4—88no—
1450D4—164no—
1451D4—164no—
1452D4—162no—
1453D4—164no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—28no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—21no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—48no—
1519C2×C4—416no—
1520C2×C4—48no—
1521C2×C4—48no—
1522C2×C4—88no—
1523C2×C4—82no—
1524C2×C4—88no—
1525C2×C4—88no—
1526C2×C4—84no—
1527C2×C4—82no—
1528C2×C4—162no—
1529C2×C4—164no—
1530C2×C4—164no—
1531C2×C4—164no—
1532C2×C4C22×#4112yes—
1533C2×C4C22×#4112yes—
1534C2×C4C2×H(5,𝔽2)14yes—
1535C2×C4C2×H(5,𝔽2)14yes—
1536C2×C4C2×H(5,𝔽2)14yes—
1537C2×C4C2×H(5,𝔽2)12yes—
1538C2×C4C2×H(5,𝔽2)12yes—
1539C2×C4C2×H(5,𝔽2)12yes—
1540C2×C4#58512yes—
1541C22—28no—
1542C22—22no—
1543C22—28no—
1544C22—22no—
1545C22—22no—
1546C22—28no—
1547C22—44no—
1548C22—41no—
1549C22—44no—
1550C22—41no—
1551C22—41no—
1552C22—44no—
1553C22—41no—
1554C22—44no—
1555C22—42no—
1556C22—44no—
1557C22—42no—
1558C22—42no—
1559C22—44no—
1560C22—42no—
1561C22—42no—
1562C22—44no—
1563C22—42no—
1564C22—42no—
1565C22—44no—
1566C22—42no—
1567C22—42no—
1568C22—44no—
1569C22—42no—
1570C22—42no—
1571C22—44no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—44no—
1576C22—168no—
1577C22—1616no—
1578C22C23×#4111yescharacteristic
1579C22C22×H(5,𝔽2)11yescharacteristic
1580C22C22×H(5,𝔽2)11yescharacteristic
1581C22C22×H(5,𝔽2)11yescharacteristic
1582C22C2×#58511yescharacteristic
1583C22H(7,𝔽2)11yescharacteristic
1584C222−1+611yescharacteristic
1585C4—24no—
1586C4—24no—
1587C4—22no—
1588C4—24no—
1589C4—22no—
1590C4—22no—
1591C4—44no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—44no—
1596C4—44no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—41no—
1601C4—42no—
1602C4—41no—
1603C4—42no—
1604C4—44no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4#345914yes—
1609C2—48no—
1610C2—42no—
1611C2—82no—
1612C2—84no—
1613C2—82no—
1614C2C2×#345911yescharacteristic
1615C2#6291411yescharacteristic
1616C2#6291611yescharacteristic
1617C2#6298311yescharacteristic
1618C2#6298411yescharacteristic
1619C2#6301411yescharacteristic
1620C2#6306911yescharacteristic
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. #52281C2semidirect
2. #52169C2semidirect
3. #42642C2semidirect
4. #42556C2semidirect
5. #42422C2semidirect
6. #42096C2semidirect
7. #41029C2semidirect
8. #40960C2semidirect
9. #40165C2semidirect
10. #39452C2semidirect
11. #39420C2semidirect
12. #39405C2semidirect
13. #39367C2semidirect
14. #39358C2semidirect
15. #38761C2semidirect
16. #37778C2semidirect
17. #37343C2semidirect
18. #37315C2semidirect
19. #37154C2semidirect
20. #36873C2semidirect
21. #36507C2semidirect
22. #36493C2semidirect
23. #36411C2semidirect
24. #36115C2semidirect
25. #36004C2semidirect
26. #36000C2semidirect
27. #35808C2semidirect
28. #34310C2semidirect
29. #34269C2semidirect
30. C2×#559C22semidirect
31. C2×#555C22semidirect
33. C2×#543C22semidirect
34. C2×#538C22semidirect
37. C2×#529C22semidirect
39. C2×#518C22semidirect
40. C2×C4×#41C22semidirect
41. #2863C22semidirect
42. #2858C22semidirect
43. #2857C22semidirect
45. #2854C22semidirect
46. #2853C22semidirect
47. #2850C22semidirect
48. #2850C22semidirect
49. #2827C22semidirect
50. #2826C22semidirect
51. #2812C22semidirect
52. #2808C22semidirect
53. #2808C22semidirect
54. #2805C22semidirect
55. #2786C22semidirect
56. #2786C22semidirect
57. #2780C22semidirect
58. #2777C22semidirect
59. #2773C22semidirect
60. #2770C22semidirect
61. #2757C22semidirect
62. #2756C22semidirect
63. #2749C22semidirect
64. #2737C22semidirect
65. #2735C22semidirect
66. #2732C22semidirect
67. #2732C22semidirect
68. #2730C22semidirect
69. #2730C22semidirect
70. #2727C22semidirect
71. #2727C22semidirect
72. #2726C22semidirect
73. #2724C22semidirect
74. #2723C22semidirect
75. #2723C22semidirect
76. #2715C22semidirect
77. #2714C22semidirect
78. #2714C22semidirect
80. #2707C22semidirect
81. #2705C22semidirect
82. #2702C22semidirect
83. #2695C22semidirect
84. #2692C22semidirect
85. #2691C22semidirect
86. #2688C22semidirect
87. #2686C22semidirect
88. #2685C22semidirect
89. #2683C22semidirect
91. #2681C22semidirect
92. #2681C22semidirect
95. #2678C22semidirect
96. #2676C22semidirect
97. #2676C22semidirect
98. #2671C22semidirect
99. #2670C22semidirect
100. #2668C22semidirect
101. #2668C22semidirect
102. #2651C22semidirect
103. #2649C22semidirect
104. #2638C22semidirect
105. #2631C22semidirect
106. #2631C22semidirect
107. #2630C22semidirect
108. #2630C22semidirect
109. #2626C22semidirect
110. #2626C22semidirect
111. #2624C22semidirect
112. #2624C22semidirect
113. #2620C22semidirect
114. #2618C22semidirect
116. #2617C22semidirect
117. #2613C22semidirect
118. #2598C22semidirect
119. #2578C22semidirect
120. #2577C22semidirect
121. #2567C22semidirect
122. #2560C22semidirect
123. #2560C22semidirect
125. #2542C22semidirect
127. #2541C22semidirect
128. #2540C22semidirect
129. #2540C22semidirect
130. #2538C22semidirect
131. #2538C22semidirect
132. #2538C22semidirect
133. #2535C22semidirect
134. #2534C22semidirect
135. #2525C22semidirect
136. #2523C22semidirect
137. #2521C22semidirect
138. #2518C22semidirect
139. #2515C22semidirect
140. #2512C22semidirect
141. #2512C22semidirect
142. #2512C22semidirect
143. #2507C22semidirect
144. #2507C22semidirect
145. #2497C22semidirect
146. #2492C22semidirect
147. #2491C22semidirect
148. #2485C22semidirect
149. #2476C22semidirect
150. #2474C22semidirect
151. #2472C22semidirect
152. #2472C22semidirect
153. #2472C22semidirect
154. #2472C22semidirect
155. #2471C22semidirect
156. #2471C22semidirect
157. #2471C22semidirect
158. #2467C22semidirect
159. #2467C22semidirect
160. #2466C22semidirect
161. #2461C22semidirect
162. #2461C22semidirect
163. #2458C22semidirect
164. #2457C22semidirect
165. #2456C22semidirect
166. #2456C22semidirect
167. #2452C22semidirect
168. #2452C22semidirect
169. #2452C22semidirect
170. #2449C22semidirect
171. #2449C22semidirect
172. #2448C22semidirect
173. #2447C22semidirect
174. #2447C22semidirect
176. #2445C22semidirect
177. #2445C22semidirect
178. #2440C22semidirect
179. #2437C22semidirect
180. #2435C22semidirect
182. #2433C22semidirect
183. #2431C22semidirect
185. #2428C22semidirect
187. #2427C22semidirect
188. #2426C22semidirect
189. #2426C22semidirect
190. #2424C22semidirect
191. #2424C22semidirect
192. #2424C22semidirect
194. #2422C22semidirect
195. #2418C22semidirect
198. #2411C22semidirect
200. #2410C22semidirect
202. #2407C22semidirect
203. #2396C22semidirect
204. #2396C22semidirect
205. #2395C22semidirect
206. #2395C22semidirect
207. #2392C22semidirect
208. #2392C22semidirect
209. #2367C22semidirect
210. #2367C22semidirect
212. #2366C22semidirect
213. #2366C22semidirect
214. #2366C22semidirect
215. #2365C22semidirect
217. #2363C22semidirect
218. #2363C22semidirect
219. #2362C22semidirect
220. #2361C22semidirect
221. #2358C22semidirect
222. #2358C22semidirect
223. #2358C22semidirect
224. #2358C22semidirect
225. #2355C22semidirect
226. #2354C22semidirect
227. #2354C22semidirect
228. #2354C22semidirect
229. D4×C4⋊C4C22semidirect
230. #2347C22semidirect
232. D4×C22⋊C4C22semidirect
233. D4×C22⋊C4C22semidirect
235. #2324C22semidirect
236. #2324C22semidirect
237. #2324C22semidirect
238. #2322C22semidirect
239. #2321C22semidirect
240. #2321C22semidirect
241. #2311C22semidirect
243. C4×#125C22semidirect
244. C4×#126C22semidirect
245. C4×C22⋊Q8C22semidirect
246. C4×C22⋊Q8C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. #2296C22semidirect
253. #2296C22semidirect
254. #2293C22semidirect
256. C2×#390C22semidirect
257. #2274C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#522812
#521692
#426422
#425562
#424222
#420962
#410292
#409602
#401652
#394522
#394202
#394052
#393672
#393582
#387612
#377782
#373432
#373152
#371542
#368732
#365072
#364932
#364112
#361152
#360042
#360002
#358082
#343102
#342692