Finite Group Databasebeta

← #7716048

Subgroups — #7716048

Order 512.

5420 conjugacy classes of subgroups.

The subgroup lattice has 1649 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#49613C214yesmaximal, complemented
2#48896C214yesmaximal, complemented
3#48025C214yesmaximal, complemented
4#47903C214yesmaximal, complemented
5#45024C212yesmaximal, complemented
6#45019C212yesmaximal, complemented
7#45011C212yesmaximal, complemented
8#45005C212yesmaximal, complemented
9#44922C212yesmaximal, complemented
10#44916C212yesmaximal, complemented
11#44878C212yesmaximal, complemented
12#44871C212yesmaximal, complemented
13#39733C212yesmaximal, complemented
14#39145C212yesmaximal, complemented
15#38246C214yesmaximal, complemented
16#37776C214yesmaximal, complemented
17#36764C212yesmaximal, complemented
18#36761C212yesmaximal, complemented
19#36257C212yesmaximal, complemented
20#36103C212yesmaximal, complemented
21#35253C211yesmaximal, characteristic, complemented
22#35252C211yesmaximal, characteristic, complemented
23#35043C212yesmaximal, complemented
24#35032C212yesmaximal, complemented
25#35000C211yesmaximal, characteristic, complemented
26#34562C211yesmaximal, characteristic, complemented
27#34379C211yesmaximal, characteristic, complemented
28#34360C211yesmaximal, characteristic, complemented
29C2×#2352C211yesmaximal, characteristic, complemented
30C2×#547C2212yescomplemented
31C2×#544C2211yescharacteristic, complemented
32C2×#535C2211yescharacteristic, complemented
33C2×#534C2212yes—
34C2×#525C2211yescharacteristic
35C2×#525C2214yescomplemented
36C22×#121C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C22×#117C2211yescharacteristic
39C23×C4⋊C4C2211yescharacteristic, complemented
40#2857C2212yescomplemented
41#2856C2212yes—
42#2854C2212yes—
43#2851C2212yescomplemented
44#2850C2212yes—
45#2850C2214yescomplemented
46#2849C2214yescomplemented
47#2847C2212yes—
48#2800C2214yescomplemented
49#2797C2214yescomplemented
50#2796C2214yescomplemented
51#2796C2214yescomplemented
52#2793C2214yescomplemented
53#2791C2214yescomplemented
54#2786C2214yescomplemented
55#2786C2214yescomplemented
56#2783C2214yescomplemented
57#2782C2214yescomplemented
58#2781C2214yescomplemented
59#2780C2214yescomplemented
60#2778C2214yescomplemented
61#2778C2214yescomplemented
62#2777C2214yescomplemented
63#2765C2214yescomplemented
64#2765C2214yescomplemented
65#2762C2214yescomplemented
66#2761C2214yescomplemented
67#2756C2214yescomplemented
68#2755C2214yescomplemented
69#2750C2214yescomplemented
70#2746C2214yescomplemented
71#2745C2214yescomplemented
72#2740C2214yescomplemented
73#2735C2214yescomplemented
74#2729C2214yescomplemented
75#2728C2214yescomplemented
76#2709C2214yescomplemented
77#2708C2214yescomplemented
78#2707C2214yescomplemented
79#2706C2214yes—
80#2703C2214yescomplemented
81#2700C2214yescomplemented
82#2697C2214yes—
83#2697C2214yescomplemented
84#2688C2214yescomplemented
85#2687C2214yes—
86#2681C2214yescomplemented
87#2678C2214yes—
88#2643C2214yescomplemented
89#2638C2212yescomplemented
90#2635C2212yescomplemented
91#2630C2212yes—
92#2630C2212yes—
93#2629C2212yescomplemented
94#2628C2212yescomplemented
95#2627C2211yescharacteristic, complemented
96#2626C2211yescharacteristic, complemented
97#2622C2212yes—
98#2620C2212yescomplemented
99#2619C2212yescomplemented
100#2618C2212yes—
101#2618C2211yescharacteristic, complemented
102#2617C2212yes—
103#2617C2211yescharacteristic, complemented
104#2617C2214yescomplemented
105#2613C2212yes—
106#2602C2214yescomplemented
107#2602C2214yescomplemented
108#2602C2214yescomplemented
109#2602C2214yescomplemented
110#2598C2214yescomplemented
111#2593C2214yescomplemented
112#2576C2214yescomplemented
113#2576C2214yescomplemented
114#2575C2214yescomplemented
115#2574C2214yescomplemented
116#2570C2212yescomplemented
117#2566C2212yescomplemented
118#2562C2212yescomplemented
119#2558C2214yescomplemented
120#2557C2214yescomplemented
121#2543C2214yes—
122#2535C2212yescomplemented
123#2534C2214yes—
124#2531C2214yescomplemented
125#2529C2214yescomplemented
126#2527C2214yescomplemented
127#2526C2214yescomplemented
128#2526C2214yescomplemented
129#2515C2214yescomplemented
130#2513C2212yescomplemented
131#2513C2212yescomplemented
132#2510C2214yescomplemented
133#2509C2212yescomplemented
134#2508C2212yescomplemented
135#2504C2212yescomplemented
136#2501C2212yescomplemented
137#2500C2214yescomplemented
138#2499C2214yescomplemented
139#2497C2212yescomplemented
140#2495C2212yescomplemented
141#2494C2212yescomplemented
142#2494C2212yescomplemented
143#2491C2212yescomplemented
144#2490C2212yescomplemented
145#2488C2214yescomplemented
146#2486C2212yes—
147#2486C2212yescomplemented
148#2485C2212yescomplemented
149#2482C2214yescomplemented
150#2476C2214yescomplemented
151#2474C2214yescomplemented
152#2472C2214yescomplemented
153#2471C2214yescomplemented
154#2470C2214yes—
155#2470C2214yescomplemented
156#2461C2214yescomplemented
157#2457C2214yes—
158#2456C2214yescomplemented
159#2449C2214yescomplemented
160#2449C2214yescomplemented
161#2444C2214yescomplemented
162#2443C2214yescomplemented
163#2443C2214yescomplemented
164#2442C2212yescomplemented
165#2442C2212yescomplemented
166#2441C2212yescomplemented
167#2440C2212yescomplemented
168#2440C2212yescomplemented
169#2439C2212yescomplemented
170#2438C2214yescomplemented
171#2437C2214yes—
172#2432C2214yescomplemented
173#2431C2214yescomplemented
174#2425C2214yescomplemented
175#2425C2214yescomplemented
176#2420C2214yescomplemented
177#2420C2212yescomplemented
178#2420C2212yescomplemented
179#2419C2214yescomplemented
180#2418C2214yes—
181#2416C2212yes—
182#2416C2212yes—
183#2416C2212yes—
184#2416C2212yes—
185#2416C2212yescomplemented
186#2414C2212yescomplemented
187#2414C2212yescomplemented
188#2414C2212yescomplemented
189#2413C2214yescomplemented
190#2411C2214yescomplemented
191#2410C2214yes—
192#2408C2212yes—
193#2407C2214yescomplemented
194#2406C2214yescomplemented
195#2404C2214yes—
196#2395C2212yes—
197#2392C2212yescomplemented
198#2392C2212yescomplemented
199#2388C2212yes—
200#2377C2214yescomplemented
201#2376C2214yescomplemented
202#2369C2212yescomplemented
203#2363C2212yescomplemented
204#2361C2212yes—
205#2361C2212yes—
206#2361C2212yescomplemented
207#2358C2214yes—
208#2354C2212yescomplemented
209#2352C2214yes—
210#2352C2212yes—
211#2352C2212yes—
212#2352C2214yescomplemented
213#2352C2212yescomplemented
214#2352C2212yescomplemented
215#2352C2212yescomplemented
216#2352C2212yescomplemented
217D4×C4⋊C4C2212yescomplemented
218D4×C4⋊C4C2212yescomplemented
219D4×C4⋊C4C2212yescomplemented
220#2346C2212yescomplemented
221#2345C2212yescomplemented
222#2344C2212yescomplemented
223D4×C22⋊C4C2214yes—
224D4×C22⋊C4C2212yescomplemented
225#2329C2212yescomplemented
226#2329C2212yescomplemented
227#2325C2212yes—
228#2325C2212yes—
229#2325C2212yescomplemented
230#2325C2212yescomplemented
231#2325C2214yescomplemented
232#2324C2212yescomplemented
233#2324C2212yescomplemented
234#2321C2214yescomplemented
235#2317C2211yescharacteristic, complemented
236#2317C2211yescharacteristic, complemented
237#2317C2211yescharacteristic, complemented
238#2316C2211yescharacteristic, complemented
239#2315C2212yescomplemented
240#2314C2212yescomplemented
241#2312C2212yescomplemented
242#2311C2212yescomplemented
243#2311C2211yescharacteristic, complemented
244#2309C2211yescharacteristic, complemented
245#2308C2212yes—
246C4×#123C2212yescomplemented
247C4×#120C2212yescomplemented
248#2290C2214yescomplemented
249C2×#388C2212yes—
250C2×#387C2212yescomplemented
251C2×#386C2212yes—
252C2×#382C2211yescharacteristic, complemented
253#2280C2211yescharacteristic
254C2×#380C2211yescharacteristic
255C2×#380C2211yescharacteristic
256C2×#380C2211yescharacteristic, complemented
257C2×C4×C4⋊C4C2211yescharacteristic, complemented
258C2×C4×C22⋊C4C2212yescomplemented
259C22×#41C2311yescharacteristic
260C22×#41C2314yes—
261C23×D4C2311yescharacteristic
262C23×D4C2312yes—
263C23×D4C2311yescharacteristic
264C24×C4C2311yescharacteristic
265C24×C4C2312yes—
266C24×C4C2311yescharacteristic
267#547—48no—
268#544—44no—
269#535—44no—
270#534—48no—
271C2×C4⋊Q8C2312yes—
272C2×C4⋊Q8C2312yes—
273C2×#127C2312yes—
274C2×#125C2312yes—
275C2×#125C2312yes—
276C2×#124C2312yes—
277C2×#124C2314yes—
278#525—28no—
279#525—416no—
280C2×#123C2312yes—
281C2×#123C2314yes—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×#123C2314yes—
285C2×#123C2312yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×C22⋊Q8C2311yescharacteristic
290C2×C22⋊Q8C2311yescharacteristic
291C2×C22⋊Q8C2314yes—
292C2×C22⋊Q8C2314yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2314yes—
295C2×#121—28no—
296C2×#121C2312yes—
297C2×#121C2312yes—
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2314yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#120C2314yes—
312C2×#120C2312yes—
313C2×#120C2312yes—
314C2×#120C2314yes—
315C2×#120C2314yes—
316C2×C4×D4—28no—
317C2×C4×D4C2312yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2314yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2314yes—
329C2×C4×D4C2314yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2314yes—
333C2×#117—44no—
334C2×#117C2311yescharacteristic
335C2×#117C2311yescharacteristic
336C2×#117C2311yescharacteristic
337C2×#117C2311yescharacteristic
338C2×#117C2312yes—
339C2×#117C2311yescharacteristic
340C2×#117C2311yescharacteristic
341C2×#117C2311yescharacteristic
342C2×#117C2314yes—
343C2×#117C2312yes—
344C2×#117C2312yes—
345C2×#117C2314yes—
346C22×C4⋊C4—44no—
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2312yes—
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2312yes—
356C22×C4⋊C4C2314yes—
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2312yes—
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2312yes—
364C22×C22⋊C4C2312yes—
365C22×C22⋊C4C2312yes—
366C22×C22⋊C4C2314yes—
367C22×C22⋊C4C2312yes—
368C22×C42C2311yescharacteristic
369C22×C42C2312yes—
370C22×C42C2312yes—
371#401C2314yes—
372#401C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#399C2312yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2312yes—
392#398C2312yes—
393#398C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#397C2314yes—
399#397C2312yes—
400#397C2314yes—
401#397C2312yes—
402#397C2314yes—
403#397C2314yes—
404#397C2312yes—
405#397C2312yes—
406#397C2312yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2312yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2312yes—
427#396C2312yes—
428#396C2314yes—
429#396C2312yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#395C2314yes—
434#395C2312yes—
435#395C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2312yes—
442#394C2312yes—
443#394C2312yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2312yes—
449#394C2312yes—
450#394C2312yes—
451#394C2312yes—
452#394C2314yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2312yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#393C2314yes—
463#393C2312yes—
464#393C2314yes—
465#392C2314yes—
466#392C2312yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2312yes—
471#392C2312yes—
472#392C2312yes—
473#392C2312yes—
474#392C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#390C2312yes—
481#390C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2314yes—
490#390C2314yes—
491#390C2312yes—
492#390C2312yes—
493#390C2314yes—
494#390C2312yes—
495#390C2314yes—
496#390C2314yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2312yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2312yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2312yes—
577#387C2314yes—
578#387C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2312yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2312yes—
611#386C2314yes—
612#386C2312yes—
613#386C2312yes—
614#386C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2312yes—
637#385C2312yes—
638#385C2312yes—
639#384C2312yes—
640#384C2312yes—
641#384C2312yes—
642#384C2312yes—
643#383C2314yes—
644#382C2312yes—
645#382C2312yes—
646#382C2312yes—
647#382C2312yes—
648#382C2312yes—
649#382C2312yes—
650#382C2314yes—
651#382C2314yes—
652#382C2314yes—
653#381C2314yes—
654#381C2314yes—
655#381C2314yes—
656#381C2314yes—
657#381C2312yes—
658#381C2312yes—
659#381C2314yes—
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2311yescharacteristic
669#380C2312yes—
670#380C2311yescharacteristic
671#380C2314yes—
672#380C2314yes—
673#380C2314yes—
674#380C2312yes—
675#380C2311yescharacteristic
676#380C2311yescharacteristic
677#380C2312yes—
678#380C2312yes—
679#380C2314yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2314yes—
684#380C2312yes—
685#380C2314yes—
686#379C2314yes—
687#379C2314yes—
688#379C2314yes—
689#379C2312yes—
690#379C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715#376C2314yes—
716C2×#95C2312yes—
717C2×#95C2312yes—
718C2×#95C2312yes—
719C2×#95C2312yes—
720C2×#95C2312yes—
721C2×#95C2312yes—
722C25C2411yescharacteristic
723C25C2411yescharacteristic
724C25C2412yes—
725C2×#41—24no—
726C2×#41—42no—
727C2×#41—42no—
728C2×#41—48no—
729C2×#41—48no—
730C2×#41—84no—
731C22×Q8C2414yes—
732C22×Q8C2411yescharacteristic
733C22×D4—24no—
734C22×D4—24no—
735C22×D4—28no—
736C22×D4—24no—
737C22×D4—42no—
738C22×D4—42no—
739C22×D4—42no—
740C22×D4—44no—
741C22×D4—44no—
742C22×D4C2412yes—
743C22×D4C2414yes—
744C22×D4C2412yes—
745C22×D4C2412yes—
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2414yes—
750C22×D4C2412yes—
751C22×D4C2412yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2411yescharacteristic
757C22×D4C2414yes—
758C23×C4—28no—
759C23×C4—24no—
760C23×C4—42no—
761C23×C4—42no—
762C23×C4—42no—
763C23×C4—42no—
764C23×C4—44no—
765C23×C4—82no—
766C23×C4#4118yescomplemented
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2411yescharacteristic
770C23×C4C2412yes—
771C23×C4C2414yes—
772C23×C4C2411yescharacteristic
773C23×C4C2411yescharacteristic
774C23×C4C2411yescharacteristic
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2414yes—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2411yescharacteristic
789C23×C4C2411yescharacteristic
790C23×C4C2411yescharacteristic
791C4⋊Q8—28no—
792C4⋊Q8—44no—
793#127—44no—
794#125—44no—
795#125—44no—
796#124—44no—
797#124—84no—
798#123—28no—
799#123—48no—
800#123—48no—
801#123—44no—
802#123—48no—
803#123—48no—
804#123—48no—
805#123—48no—
806#123—84no—
807C22⋊Q8—24no—
808C22⋊Q8—24no—
809C22⋊Q8—48no—
810C22⋊Q8—48no—
811C22⋊Q8—48no—
812C22⋊Q8—48no—
813#121—28no—
814#121—28no—
815#121—28no—
816#121—28no—
817#121—24no—
818#121—24no—
819#121—28no—
820#121—48no—
821#121—48no—
822#121—44no—
823#121—44no—
824#121—44no—
825#121—48no—
826#121—48no—
827#121—48no—
828#120—28no—
829#120—28no—
830#120—216no—
831#120—48no—
832#120—48no—
833C4×D4—28no—
834C4×D4—28no—
835C4×D4—28no—
836C4×D4—28no—
837C4×D4—28no—
838C4×D4—28no—
839C4×D4—44no—
840C4×D4—44no—
841C4×D4—44no—
842C4×D4—44no—
843C4×D4—48no—
844C4×D4—48no—
845C4×D4—48no—
846C4×D4—48no—
847C4×D4—48no—
848C4×D4—84no—
849#117—24no—
850#117—24no—
851#117—24no—
852#117—42no—
853#117—42no—
854#117—44no—
855#117—44no—
856#117—48no—
857#117—42no—
858#117—42no—
859#117—44no—
860#117—84no—
861C2×C4⋊C4—24no—
862C2×C4⋊C4—24no—
863C2×C4⋊C4—24no—
864C2×C4⋊C4—28no—
865C2×C4⋊C4—42no—
866C2×C4⋊C4—44no—
867C2×C4⋊C4—48no—
868C2×C4⋊C4—44no—
869C2×C4⋊C4—42no—
870C2×C4⋊C4—42no—
871C2×C4⋊C4—42no—
872C2×C4⋊C4—42no—
873C2×C4⋊C4—44no—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C22⋊C4—24no—
927C2×C22⋊C4—24no—
928C2×C22⋊C4—28no—
929C2×C22⋊C4—44no—
930C2×C22⋊C4—44no—
931C2×C22⋊C4—44no—
932C2×C22⋊C4—82no—
933C2×C22⋊C4—84no—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C42—24no—
999C2×C42—44no—
1000C2×C42—82no—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069C24—22no—
1070C24—22no—
1071C24—22no—
1072C24—22no—
1073C24—24no—
1074C24—41no—
1075C24—41no—
1076C24—41no—
1077C24—41no—
1078C24—41no—
1079C24—41no—
1080C24—41no—
1081C24—41no—
1082C24—42no—
1083C24—42no—
1084C24—42no—
1085C24—42no—
1086C24—42no—
1087C24—42no—
1088C24C2×#4114yes—
1089C24H(5,𝔽2)14yes—
1090C24C2514yes—
1091C24C2512yes—
1092C24C2511yescharacteristic
1093C24C2511yescharacteristic
1094C24C2512yes—
1095C24C2511yescharacteristic
1096#41—88no—
1097#41—832no—
1098C2×Q8—22no—
1099C2×Q8—28no—
1100C2×Q8—44no—
1101C2×Q8—41no—
1102C2×Q8—44no—
1103C2×Q8—41no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—28no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—28no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—28no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—22no—
1124C2×D4—24no—
1125C2×D4—28no—
1126C2×D4—24no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—42no—
1142C2×D4—44no—
1143C2×D4—41no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—41no—
1148C2×D4—42no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—416no—
1153C2×D4—88no—
1154C2×D4—816no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—28no—
1165C22×C4—24no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—28no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—28no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—416no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—42no—
1194C22×C4—41no—
1195C22×C4—44no—
1196C22×C4—41no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—44no—
1200C22×C4—42no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—44no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—416no—
1223C22×C4—816no—
1224C22×C4C2×#4114yes—
1225C22×C4C2×#4114yes—
1226C22×C4C2×#4114yes—
1227C22×C4C2×#4114yes—
1228C22×C4C2×#4114yes—
1229C22×C4C2×#4114yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2512yes—
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2514yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—28no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4H(5,𝔽2)14yes—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—28no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—28no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C42—24no—
1370C42—24no—
1371C42—24no—
1372C42—24no—
1373C42—24no—
1374C42—24no—
1375C42—24no—
1376C42—42no—
1377C42—42no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—22no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—22no—
1394C23—21no—
1395C23—22no—
1396C23—21no—
1397C23—22no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—22no—
1404C23—21no—
1405C23—22no—
1406C23—21no—
1407C23—28no—
1408C23—28no—
1409C23—22no—
1410C23—24no—
1411C23—24no—
1412C23—22no—
1413C23—24no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—24no—
1418C23—24no—
1419C23—24no—
1420C23—22no—
1421C23—24no—
1422C23—22no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—48no—
1432C23—82no—
1433C23—82no—
1434C23—82no—
1435C23—82no—
1436C23—84no—
1437C23—84no—
1438C23—162no—
1439C23—162no—
1440C23—162no—
1441C23—162no—
1442C23C22×#4112yes—
1443C23C22×#4112yes—
1444C23C22×#4112yes—
1445C23C2×H(5,𝔽2)14yes—
1446C23C2×H(5,𝔽2)12yes—
1447C23#58512yes—
1448C23C2611yescharacteristic
1449Q8—82no—
1450Q8—88no—
1451D4—48no—
1452D4—48no—
1453D4—48no—
1454D4—48no—
1455D4—48no—
1456D4—48no—
1457D4—416no—
1458D4—48no—
1459D4—84no—
1460D4—82no—
1461D4—88no—
1462D4—88no—
1463D4—88no—
1464D4—84no—
1465D4—88no—
1466D4—164no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—28no—
1476C2×C4—28no—
1477C2×C4—28no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—24no—
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—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—48no—
1536C2×C4—416no—
1537C2×C4—48no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—48no—
1542C2×C4—48no—
1543C2×C4—84no—
1544C2×C4—84no—
1545C2×C4—88no—
1546C2×C4—84no—
1547C2×C4—84no—
1548C2×C4—88no—
1549C2×C4—88no—
1550C2×C4—88no—
1551C2×C4—162no—
1552C2×C4—162no—
1553C2×C4C22×#4112yes—
1554C2×C4C22×#4112yes—
1555C2×C4C22×#4112yes—
1556C2×C4C22×#4112yes—
1557C2×C4C2×H(5,𝔽2)14yes—
1558C2×C4C2×H(5,𝔽2)12yes—
1559C2×C4#58512yes—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—24no—
1571C22—22no—
1572C22—22no—
1573C22—24no—
1574C22—24no—
1575C22—416no—
1576C22—42no—
1577C22—42no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—42no—
1583C22—41no—
1584C22—41no—
1585C22—42no—
1586C22—41no—
1587C22—41no—
1588C22—42no—
1589C22—44no—
1590C22—44no—
1591C22—42no—
1592C22—42no—
1593C22—44no—
1594C22—42no—
1595C22—44no—
1596C22—42no—
1597C22—44no—
1598C22—42no—
1599C22—44no—
1600C22—44no—
1601C22—42no—
1602C22—88no—
1603C22—168no—
1604C22#349414yes—
1605C22C23×#4111yescharacteristic
1606C22C22×H(5,𝔽2)11yescharacteristic
1607C22C22×H(5,𝔽2)11yescharacteristic
1608C22C2×#58511yescharacteristic
1609C22C2×#58511yescharacteristic
1610C22H(7,𝔽2)11yescharacteristic
1611C222−1+611yescharacteristic
1612C4—22no—
1613C4—22no—
1614C4—22no—
1615C4—24no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—44no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—44no—
1625C4—42no—
1626C4—44no—
1627C4—44no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—44no—
1634C4#350514yes—
1635C2—24no—
1636C2—44no—
1637C2—42no—
1638C2—42no—
1639C2—82no—
1640C2—84no—
1641C2C2×#350511yescharacteristic
1642C2C2×#349411yescharacteristic
1643C2#6284511yescharacteristic
1644C2#6289211yescharacteristic
1645C2#6290111yescharacteristic
1646C2#6291911yescharacteristic
1647C2#6293511yescharacteristic
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. #49613C2semidirect
2. #48896C2semidirect
3. #48025C2semidirect
4. #47903C2semidirect
5. #45024C2semidirect
6. #45019C2semidirect
7. #45011C2semidirect
8. #45005C2semidirect
9. #44922C2semidirect
10. #44916C2semidirect
11. #44878C2semidirect
12. #44871C2semidirect
13. #39733C2semidirect
14. #39145C2semidirect
15. #38246C2semidirect
16. #37776C2semidirect
17. #36764C2semidirect
18. #36761C2semidirect
19. #36257C2semidirect
20. #36103C2semidirect
21. #35253C2semidirect
22. #35252C2semidirect
23. #35043C2semidirect
24. #35032C2semidirect
25. #35000C2semidirect
26. #34562C2semidirect
27. #34379C2semidirect
28. #34360C2semidirect
29. C2×#2352C2semidirect
30. C2×#547C22semidirect
31. C2×#544C22semidirect
32. C2×#535C22semidirect
35. C2×#525C22semidirect
39. C23×C4⋊C4C22semidirect
40. #2857C22semidirect
43. #2851C22semidirect
45. #2850C22semidirect
46. #2849C22semidirect
48. #2800C22semidirect
49. #2797C22semidirect
50. #2796C22semidirect
51. #2796C22semidirect
52. #2793C22semidirect
53. #2791C22semidirect
54. #2786C22semidirect
55. #2786C22semidirect
56. #2783C22semidirect
57. #2782C22semidirect
58. #2781C22semidirect
59. #2780C22semidirect
60. #2778C22semidirect
61. #2778C22semidirect
62. #2777C22semidirect
63. #2765C22semidirect
64. #2765C22semidirect
65. #2762C22semidirect
66. #2761C22semidirect
67. #2756C22semidirect
68. #2755C22semidirect
69. #2750C22semidirect
70. #2746C22semidirect
71. #2745C22semidirect
72. #2740C22semidirect
73. #2735C22semidirect
74. #2729C22semidirect
75. #2728C22semidirect
76. #2709C22semidirect
77. #2708C22semidirect
78. #2707C22semidirect
80. #2703C22semidirect
81. #2700C22semidirect
83. #2697C22semidirect
84. #2688C22semidirect
86. #2681C22semidirect
88. #2643C22semidirect
89. #2638C22semidirect
90. #2635C22semidirect
93. #2629C22semidirect
94. #2628C22semidirect
95. #2627C22semidirect
96. #2626C22semidirect
98. #2620C22semidirect
99. #2619C22semidirect
101. #2618C22semidirect
103. #2617C22semidirect
104. #2617C22semidirect
106. #2602C22semidirect
107. #2602C22semidirect
108. #2602C22semidirect
109. #2602C22semidirect
110. #2598C22semidirect
111. #2593C22semidirect
112. #2576C22semidirect
113. #2576C22semidirect
114. #2575C22semidirect
115. #2574C22semidirect
116. #2570C22semidirect
117. #2566C22semidirect
118. #2562C22semidirect
119. #2558C22semidirect
120. #2557C22semidirect
122. #2535C22semidirect
124. #2531C22semidirect
125. #2529C22semidirect
126. #2527C22semidirect
127. #2526C22semidirect
128. #2526C22semidirect
129. #2515C22semidirect
130. #2513C22semidirect
131. #2513C22semidirect
132. #2510C22semidirect
133. #2509C22semidirect
134. #2508C22semidirect
135. #2504C22semidirect
136. #2501C22semidirect
137. #2500C22semidirect
138. #2499C22semidirect
139. #2497C22semidirect
140. #2495C22semidirect
141. #2494C22semidirect
142. #2494C22semidirect
143. #2491C22semidirect
144. #2490C22semidirect
145. #2488C22semidirect
147. #2486C22semidirect
148. #2485C22semidirect
149. #2482C22semidirect
150. #2476C22semidirect
151. #2474C22semidirect
152. #2472C22semidirect
153. #2471C22semidirect
155. #2470C22semidirect
156. #2461C22semidirect
158. #2456C22semidirect
159. #2449C22semidirect
160. #2449C22semidirect
161. #2444C22semidirect
162. #2443C22semidirect
163. #2443C22semidirect
164. #2442C22semidirect
165. #2442C22semidirect
166. #2441C22semidirect
167. #2440C22semidirect
168. #2440C22semidirect
169. #2439C22semidirect
170. #2438C22semidirect
172. #2432C22semidirect
173. #2431C22semidirect
174. #2425C22semidirect
175. #2425C22semidirect
176. #2420C22semidirect
177. #2420C22semidirect
178. #2420C22semidirect
179. #2419C22semidirect
185. #2416C22semidirect
186. #2414C22semidirect
187. #2414C22semidirect
188. #2414C22semidirect
189. #2413C22semidirect
190. #2411C22semidirect
193. #2407C22semidirect
194. #2406C22semidirect
197. #2392C22semidirect
198. #2392C22semidirect
200. #2377C22semidirect
201. #2376C22semidirect
202. #2369C22semidirect
203. #2363C22semidirect
206. #2361C22semidirect
208. #2354C22semidirect
212. #2352C22semidirect
213. #2352C22semidirect
214. #2352C22semidirect
215. #2352C22semidirect
216. #2352C22semidirect
217. D4×C4⋊C4C22semidirect
218. D4×C4⋊C4C22semidirect
219. D4×C4⋊C4C22semidirect
220. #2346C22semidirect
221. #2345C22semidirect
222. #2344C22semidirect
224. D4×C22⋊C4C22semidirect
225. #2329C22semidirect
226. #2329C22semidirect
229. #2325C22semidirect
230. #2325C22semidirect
231. #2325C22semidirect
232. #2324C22semidirect
233. #2324C22semidirect
234. #2321C22semidirect
235. #2317C22semidirect
236. #2317C22semidirect
237. #2317C22semidirect
238. #2316C22semidirect
239. #2315C22semidirect
240. #2314C22semidirect
241. #2312C22semidirect
242. #2311C22semidirect
243. #2311C22semidirect
244. #2309C22semidirect
246. C4×#123C22semidirect
247. C4×#120C22semidirect
248. #2290C22semidirect
250. C2×#387C22semidirect
252. C2×#382C22semidirect
256. C2×#380C22semidirect
257. C2×C4×C4⋊C4C22semidirect
258. C2×C4×C22⋊C4C22semidirect
766. C23×C4#41semidirect

Maximal subgroups

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

subgroupindex
#496132
#488962
#480252
#479032
#450242
#450192
#450112
#450052
#449222
#449162
#448782
#448712
#397332
#391452
#382462
#377762
#367642
#367612
#362572
#361032
#352532
#352522
#350432
#350322
#350002
#345622
#343792
#343602
C2×#23522